Search is not available for this dataset
id
int64
990k
1,000k
topk_indices
sequencelengths
1k
1k
990,000
[ 132337, 902027, 229920, 960639, 153532, 412459, 200196, 342589, 646408, 266368, 782573, 787048, 556179, 30558, 219011, 932125, 375938, 172783, 618577, 877616, 384848, 45110, 384077, 759823, 662308, 254103, 441765, 616552, 312680, 118547, 687196, 788077, 831506, 451148, 68125, 463836, 716788, 409458, 825015, 692937, 109661, 93762, 844621, 508205, 496658, 6999, 987762, 410494, 424862, 688066, 333421, 591008, 530325, 130909, 945309, 566680, 316427, 387373, 355661, 907649, 601382, 683846, 18992, 80037, 689270, 245705, 285329, 749423, 745115, 311049, 429701, 707138, 489024, 779073, 201752, 521826, 931878, 154698, 165585, 533839, 984371, 884947, 548669, 601637, 412552, 783959, 840196, 597941, 288441, 666315, 13655, 942723, 909346, 96934, 677590, 918351, 233990, 743008, 727125, 543865, 377080, 726857, 724865, 55103, 689477, 460126, 751947, 48709, 159527, 446234, 433906, 465742, 940084, 624207, 910272, 750397, 274588, 482151, 364033, 730553, 442155, 164243, 183412, 694985, 27389, 951918, 433800, 844198, 406766, 173177, 215199, 191282, 522671, 219691, 489777, 76429, 502791, 630084, 502510, 173365, 62121, 250687, 697406, 880149, 652041, 107097, 597570, 468828, 346814, 767868, 686383, 540614, 195807, 829860, 672696, 205695, 889682, 775187, 333673, 27867, 93017, 60375, 545342, 447689, 892346, 792875, 65244, 98214, 565568, 54353, 949579, 407466, 455342, 886646, 559, 732125, 156620, 254922, 173410, 94267, 400373, 754280, 732089, 148086, 743568, 200013, 90579, 451306, 36446, 328675, 446206, 690414, 773359, 6196, 688554, 912327, 477167, 734079, 176609, 505646, 608542, 892415, 367719, 643853, 121101, 980967, 22717, 154414, 782348, 8167, 621123, 19462, 932535, 767671, 588616, 191398, 380361, 737504, 938316, 114473, 823705, 859025, 539081, 191915, 461364, 662825, 731025, 697763, 280429, 679036, 896673, 827190, 920969, 652334, 128624, 905349, 459099, 799313, 956121, 986147, 983389, 812627, 52396, 510838, 68973, 648303, 752731, 131333, 826039, 115697, 343976, 854599, 713495, 256587, 971774, 38284, 513866, 322060, 305149, 429872, 212982, 908678, 268927, 112605, 235223, 302101, 825353, 970524, 345720, 686320, 470940, 373488, 150146, 76616, 366805, 523980, 516767, 141501, 100373, 656102, 765554, 463296, 240060, 125764, 2764, 10752, 684250, 67208, 864776, 615334, 684264, 326026, 145274, 365406, 682673, 714106, 673583, 684719, 478662, 759322, 860641, 21833, 271020, 564578, 522912, 226875, 568550, 750942, 396091, 716436, 113451, 439854, 373283, 622185, 47392, 268142, 798558, 226482, 474045, 304617, 434093, 169005, 326875, 179456, 170781, 750463, 803973, 482986, 95751, 191122, 247246, 629463, 88536, 822832, 611662, 586538, 252669, 230481, 724615, 423686, 169894, 601801, 594767, 21798, 893327, 503259, 26429, 606819, 770000, 906048, 682471, 643139, 649180, 838612, 640757, 540727, 578928, 909080, 176327, 339898, 961214, 904316, 612703, 275118, 336842, 956728, 291340, 286549, 787844, 476775, 984562, 896081, 621042, 345933, 763842, 79013, 676174, 621329, 782972, 97432, 290836, 141902, 614955, 622881, 133088, 130177, 707404, 886734, 813348, 64678, 221049, 170380, 514689, 978958, 854126, 26132, 358677, 704414, 299245, 800962, 905571, 344959, 116228, 239022, 597426, 782926, 362174, 94733, 15090, 950408, 430233, 16043, 780406, 973719, 358315, 877911, 604169, 186493, 858648, 88442, 225173, 505541, 935932, 144850, 221052, 501166, 716286, 134626, 543613, 59605, 373324, 101409, 84271, 292706, 83945, 298226, 547021, 293324, 694258, 32143, 840348, 961395, 352778, 704644, 16543, 809170, 345075, 627386, 397561, 25219, 680129, 297302, 767295, 521057, 794054, 143280, 463566, 985462, 375259, 299882, 626337, 985455, 658505, 353973, 471566, 276232, 617715, 492519, 318171, 27825, 798022, 86125, 836446, 949385, 430788, 952892, 37599, 600409, 615686, 798186, 75867, 836918, 129917, 123896, 378763, 434178, 133865, 46899, 940246, 540010, 100832, 484872, 959316, 90305, 888473, 76039, 68618, 6226, 12580, 912486, 961476, 612543, 396946, 308021, 40090, 168004, 25441, 175793, 854596, 83317, 283949, 423756, 822258, 630301, 33440, 792442, 161289, 753825, 599203, 786359, 97431, 552949, 198963, 935211, 865306, 359403, 750568, 553012, 105369, 407914, 115463, 829182, 843433, 444507, 379262, 433795, 892139, 951003, 539408, 330125, 74182, 156353, 224242, 168257, 660044, 476038, 598343, 403528, 39617, 873669, 665671, 89005, 246240, 679391, 444544, 712681, 456809, 148367, 797790, 184300, 384049, 711405, 137085, 218537, 783492, 417554, 77867, 659438, 175993, 955640, 2386, 655426, 763604, 233726, 959604, 448329, 149659, 517935, 470097, 741807, 736194, 601842, 432410, 326261, 300786, 189342, 969766, 276554, 893297, 244927, 407644, 187023, 816811, 465528, 729335, 110810, 432628, 663161, 159971, 218906, 613159, 982423, 566626, 488343, 794208, 572197, 186675, 492336, 702980, 402897, 316071, 599483, 914727, 409215, 88811, 703851, 601022, 966251, 184076, 785385, 941002, 648326, 179117, 149941, 14182, 934054, 289594, 574650, 837010, 981526, 937729, 861409, 592515, 929324, 590103, 260693, 4007, 87905, 290744, 535128, 930930, 581922, 796570, 342211, 164420, 30907, 943545, 551267, 942956, 183642, 450384, 233049, 156813, 725637, 206330, 191947, 94055, 306180, 177087, 699458, 134313, 712981, 810577, 938510, 625406, 697297, 117456, 666437, 750437, 151150, 375206, 387985, 314409, 79289, 434936, 448534, 417950, 588306, 939139, 384780, 52876, 200486, 667493, 360748, 170719, 488559, 318350, 927363, 217846, 358018, 46912, 719546, 223771, 868725, 480964, 392699, 159139, 773778, 806509, 434722, 938767, 80701, 304793, 126193, 201802, 218410, 508006, 165171, 753991, 449661, 13998, 614644, 460765, 764052, 222294, 718431, 20311, 879731, 399938, 253273, 158689, 948792, 187192, 978220, 587647, 5733, 379862, 149795, 309093, 230088, 836033, 829135, 325144, 856831, 782039, 363414, 768090, 124174, 877172, 897929, 833582, 157452, 676359, 207536, 266412, 922246, 945835, 727151, 828784, 179501, 327081, 758765, 978554, 314380, 987395, 790274, 8916, 392394, 919976, 379226, 699166, 909526, 174751, 729726, 227924, 830306, 352025, 15067, 244656, 733150, 708718, 321065, 783531, 910136, 857137, 515393, 766552, 390700, 11549, 545569, 230118, 837544, 243810, 13830, 123319, 430864, 267693, 252735, 163805, 859412, 122331, 473381, 838402, 513196, 392698, 795630, 176096, 238606, 428418, 929694, 124371, 420512, 243397, 970496, 200794, 950442, 614481, 141576, 692590, 698500, 283683, 582041, 18492, 139533, 851833, 188681, 80557, 738511, 780909, 774197, 21364, 767427, 421066, 506813, 489567, 537684, 173396, 483765, 527266, 714779, 555366, 359840, 781326, 721513, 723830, 96584, 695395, 112010, 9139, 879745, 739594, 121167, 756404, 612846, 711339, 839335, 209932, 550986, 828104, 597512, 72420, 13890, 463833, 180603, 702677, 777926, 804833, 218926, 963742, 193321, 119911, 629388, 399530, 92713, 763468, 897644, 560456, 307930, 949452, 216664, 46083, 562358, 719698, 372267, 681272, 501624, 52780, 40718, 369220, 450503, 176976, 203586, 451174, 624809, 19588, 224631, 887204, 231997, 148746, 887407, 862261, 327487, 770171, 902764, 213633, 98099, 629156, 745416, 589462, 907740, 832395, 645189, 324866, 607694, 86365, 933330, 876616, 902430, 49011, 305791, 526211, 833872, 723188, 7510, 215290, 117814, 736087, 304126, 302320, 184403, 314791, 432047, 961370, 148847, 494286, 766179, 721102, 491077, 846450, 173273, 763624, 33714, 390449, 520882, 882417, 580898, 407233, 353171, 319167, 587836, 753324, 125472, 279702, 857396, 18893, 222255, 943555, 221542, 43921, 365955, 937573, 359677, 522648, 314243, 211438, 526417, 600507, 876172, 741982, 667755, 301130, 45724, 742652, 651049, 477579, 563208, 726527, 421633, 694285, 949395, 146681, 355285, 868285, 765383, 964013, 224308, 649101, 841251, 62300, 445065, 182419, 537775, 501535, 134883, 223837, 23650, 379527, 679572, 814488, 915638, 742449, 29983, 514614, 273834, 623750, 468937, 448260, 764208, 444930, 366533 ]
990,001
[ 934521, 546576, 269898, 294596, 33579, 618209, 527991, 599864, 814070, 854604, 963412, 479383, 184813, 481300, 264426, 595675, 648486, 262100, 549941, 355640, 398257, 988892, 427802, 317577, 816343, 515797, 435853, 112792, 513230, 617481, 281808, 315880, 822020, 553331, 568170, 662402, 132456, 632728, 942066, 83373, 944289, 44296, 617604, 435042, 188243, 633174, 224561, 567212, 445953, 21602, 410047, 512989, 221748, 894376, 987315, 383879, 286388, 94537, 98912, 4388, 248468, 320679, 434556, 531698, 869989, 422970, 787122, 176380, 574074, 590694, 741259, 214402, 228105, 807778, 524971, 202929, 508975, 392568, 438441, 746252, 343998, 859386, 710947, 520906, 933236, 362008, 904418, 90219, 425596, 476918, 72098, 785242, 395283, 833813, 231415, 899623, 6571, 645061, 222848, 416266, 539783, 559060, 92733, 818557, 819221, 905777, 626638, 440723, 883276, 470092, 673801, 684165, 558990, 505674, 630403, 337298, 698046, 92659, 696744, 377201, 1112, 437180, 363528, 229487, 941211, 912102, 774132, 560399, 799530, 409224, 50267, 849514, 785465, 489098, 456623, 285332, 583869, 681166, 667397, 723257, 240978, 839345, 495929, 711989, 597233, 499121, 673760, 730032, 90506, 865529, 350204, 773790, 582663, 547540, 880121, 139119, 290509, 670639, 927753, 560473, 285415, 634228, 216277, 172018, 851092, 578830, 271450, 456308, 740882, 930658, 5024, 209108, 467725, 923743, 884304, 490951, 184296, 555016, 925211, 939804, 600041, 164629, 771517, 289866, 255639, 976086, 916611, 743040, 165220, 327944, 461900, 247833, 430309, 386872, 264688, 656793, 718775, 70445, 925421, 310153, 495295, 581122, 352681, 765293, 408082, 798604, 36967, 874399, 886505, 35380, 964208, 451282, 929171, 108551, 426623, 915205, 845839, 341041, 200424, 363701, 965672, 476243, 867743, 517884, 249449, 577069, 196390, 737821, 447766, 600350, 795559, 987134, 484742, 419679, 111395, 828166, 933590, 37831, 558533, 187103, 214652, 409256, 770815, 844240, 161886, 412424, 122129, 847584, 297176, 785021, 532636, 465938, 202758, 837329, 562928, 511471, 959954, 31654, 594634, 845314, 590364, 736074, 551455, 237034, 297337, 716311, 863354, 120849, 617649, 420201, 726353, 172533, 275302, 886473, 848539, 565998, 210778, 336719, 270247, 57451, 661905, 375347, 855270, 898740, 718249, 474470, 60869, 63268, 411139, 753284, 510793, 723638, 752564, 373294, 698552, 830783, 165797, 750782, 563482, 396465, 525228, 981060, 369729, 956291, 315065, 820104, 638416, 162248, 407816, 541816, 589253, 182364, 10711, 901513, 945718, 653328, 651493, 208638, 138154, 61396, 813362, 292911, 873709, 153838, 606200, 81536, 657507, 62125, 890057, 178241, 401690, 976673, 926043, 399800, 528760, 434920, 166110, 566956, 559805, 93555, 484715, 463912, 975837, 805283, 919280, 294787, 385771, 155812, 714952, 537242, 111852, 843091, 608508, 937490, 457241, 57770, 284901, 78677, 187915, 789509, 143362, 401948, 941974, 557961, 769391, 392517, 476471, 655026, 468614, 149459, 23972, 329213, 899572, 592930, 472751, 89242, 13662, 571719, 692801, 855118, 536282, 433239, 959144, 278328, 43868, 767437, 359226, 313614, 681726, 639450, 303002, 843005, 383951, 972052, 684241, 927457, 227402, 853164, 9904, 975125, 987703, 102907, 283548, 689897, 147944, 321805, 242418, 854020, 536077, 384797, 985485, 721393, 656872, 64270, 786666, 274251, 900248, 778153, 137576, 307234, 964258, 215037, 874279, 391013, 393143, 97259, 831025, 921758, 290249, 323428, 264379, 552927, 924453, 295663, 431407, 53557, 414312, 773069, 759817, 585728, 978865, 153431, 385151, 622671, 648921, 827827, 865813, 577005, 889846, 288028, 105245, 523995, 161516, 981830, 861685, 699786, 624810, 66201, 334314, 607656, 68796, 238498, 830271, 844804, 329042, 686258, 276349, 142672, 653174, 650968, 866913, 272371, 628297, 160047, 935586, 58530, 370266, 863457, 627981, 778883, 838146, 725090, 132624, 341423, 865977, 77290, 536406, 622550, 593616, 225535, 667947, 840992, 363184, 748044, 549900, 852239, 903580, 298872, 8571, 738351, 922922, 819224, 150962, 91460, 107007, 59201, 696627, 675198, 453100, 568440, 564126, 917421, 367629, 929750, 796476, 244032, 957965, 285027, 702697, 430856, 973302, 627930, 516515, 36567, 130309, 724257, 274593, 366974, 770905, 628501, 406560, 371065, 748124, 241088, 117599, 92130, 97250, 385584, 490688, 610675, 674972, 357169, 245951, 929276, 562587, 648667, 794510, 889594, 664114, 364158, 675843, 419420, 981691, 126569, 866545, 606585, 10855, 655868, 267485, 174459, 215809, 307746, 104420, 467882, 460962, 481349, 433745, 604957, 831120, 984450, 699682, 758122, 127690, 156699, 133590, 13959, 201413, 181752, 762052, 31477, 466292, 72979, 486567, 56598, 171358, 874569, 695897, 404887, 674174, 909525, 618636, 67349, 951724, 109654, 438400, 818418, 279379, 936671, 613808, 349861, 12099, 530248, 461620, 336363, 491452, 190958, 728111, 906599, 1921, 728228, 923105, 638587, 831560, 855268, 299618, 885901, 981407, 320885, 924936, 656168, 262401, 938492, 224266, 604179, 553011, 635271, 797777, 224649, 200055, 513646, 319420, 689215, 674913, 748754, 770518, 224192, 346969, 535625, 74967, 122319, 467629, 689107, 461354, 827526, 535312, 338913, 178900, 636410, 942827, 29042, 507720, 855739, 742574, 708837, 303190, 837977, 159918, 360115, 561785, 456649, 915581, 473397, 332689, 846038, 966180, 111418, 918060, 162598, 743574, 461635, 789615, 845022, 739107, 15269, 479422, 167751, 23126, 534540, 660629, 605924, 160361, 761810, 611989, 405163, 858570, 958638, 691954, 780426, 732923, 134167, 439841, 740405, 298965, 886009, 175996, 862918, 616142, 781410, 861850, 133674, 974537, 768034, 936461, 985270, 399586, 539985, 271980, 170991, 815629, 723416, 433571, 225077, 393172, 602760, 186557, 686508, 242071, 434361, 399871, 729358, 55587, 882678, 804838, 66293, 682427, 589510, 517987, 904344, 584154, 347422, 75117, 327055, 971879, 337105, 150460, 53, 506197, 797603, 426867, 895573, 184870, 295973, 773923, 848104, 934811, 348402, 341349, 201315, 294684, 313984, 431853, 246857, 958892, 6105, 478521, 421423, 816845, 537511, 378924, 876648, 484792, 757627, 278809, 770333, 52224, 575489, 364838, 649808, 496103, 228101, 27179, 355404, 962719, 542536, 37279, 972927, 982496, 563889, 809886, 632244, 760022, 496326, 342403, 988872, 296068, 873833, 787083, 541799, 344520, 423218, 132944, 504919, 314930, 111137, 672397, 132409, 126294, 196026, 493748, 977998, 293595, 565862, 121411, 411040, 769594, 374238, 692468, 138191, 340458, 953743, 202720, 589711, 256822, 261886, 359499, 347391, 574260, 622141, 267708, 261613, 871096, 843961, 640080, 84014, 149833, 573632, 494418, 526954, 39946, 573033, 897165, 220448, 599730, 157074, 241289, 78075, 752562, 614577, 690749, 762793, 632126, 476917, 6246, 366964, 850265, 69858, 785071, 195080, 983859, 919662, 765848, 163109, 45578, 278572, 4649, 925344, 587760, 933853, 914615, 699264, 524532, 454430, 751437, 614416, 331033, 646752, 61052, 401187, 460327, 479945, 221404, 438959, 192096, 27346, 689609, 847064, 557428, 812326, 159351, 869768, 287074, 739976, 873044, 464546, 930404, 648353, 873793, 950044, 784546, 138669, 941410, 868159, 958148, 570057, 960434, 913940, 983846, 496085, 665870, 718281, 71041, 175689, 140486, 319556, 231654, 895450, 737073, 465638, 237865, 765802, 75245, 404965, 592620, 249582, 463109, 227265, 409479, 83604, 202302, 205997, 638822, 841260, 181251, 303103, 438740, 90113, 412686, 68266, 192836, 122216, 349100, 55736, 37024, 456384, 624103, 754980, 526801, 782341, 975493, 833599, 718842, 250523, 592999, 62062, 567724, 171707, 181364, 308918, 472329, 207415, 827591, 643773, 975270, 328489, 148430, 588274, 397491, 510161, 476589, 7542, 308466, 479935, 155885, 653695, 259676, 38249, 27151, 295604, 44383, 514358, 11046, 692193, 712265, 877689, 539808, 311942, 90121, 335026, 973079, 592877, 189771, 232639, 118438, 807891, 330059, 63794, 911533, 114713, 17994, 399776, 464025, 829210, 977552, 96110, 453968, 505996, 329684, 531727, 267933, 165876 ]
990,002
[ 208528, 27288, 37164, 47955, 673009, 796590, 408972, 331482, 742329, 756269, 813450, 269613, 253539, 434946, 96990, 446509, 591359, 893383, 693231, 565194, 67139, 504896, 741432, 665588, 623822, 512572, 45444, 599836, 855414, 529236, 446440, 974704, 819503, 44003, 324841, 554396, 978188, 661966, 12035, 84188, 99013, 53039, 233140, 857869, 507118, 383493, 720447, 546092, 418236, 646988, 601165, 884928, 887301, 185558, 531286, 915002, 293212, 504068, 213468, 435978, 525314, 683182, 714082, 127173, 431884, 59014, 263160, 946001, 587345, 36049, 228123, 883336, 517034, 851940, 740324, 530418, 829555, 912989, 362392, 924802, 919814, 684944, 973418, 285813, 718242, 824950, 821924, 338710, 586815, 935952, 831691, 582143, 171749, 294019, 512375, 784920, 765432, 910497, 43829, 668139, 402532, 793889, 509139, 551831, 927627, 560407, 339880, 227283, 298941, 706570, 848201, 829709, 970603, 361755, 56732, 253711, 685162, 56238, 202605, 848057, 180560, 192781, 966146, 761304, 668424, 430643, 600032, 802251, 516640, 854915, 224050, 650122, 471461, 466199, 553116, 830822, 659321, 157051, 264551, 59942, 308366, 894389, 707270, 144261, 318104, 613674, 830174, 349049, 104961, 324146, 450011, 541618, 54823, 24204, 313048, 127630, 142167, 961915, 261455, 218812, 904385, 130597, 574082, 415515, 792535, 161234, 715398, 622839, 742825, 422120, 574834, 597602, 300205, 329095, 484653, 484322, 223510, 949297, 527689, 727241, 292690, 305932, 556994, 661419, 176935, 986544, 975087, 655233, 960180, 73670, 55039, 370815, 848875, 866470, 228726, 878844, 607269, 250196, 406449, 68570, 742474, 412305, 599004, 68011, 872413, 130708, 705748, 969206, 202474, 304763, 884626, 750421, 587619, 415772, 44077, 952299, 491876, 717327, 321878, 526648, 146714, 828188, 842340, 220197, 431667, 861678, 250003, 73552, 373234, 481666, 217680, 590529, 36324, 231843, 679253, 697319, 349079, 541104, 529428, 912455, 37381, 169080, 335275, 707918, 803631, 578477, 652057, 461456, 28123, 284750, 645867, 551420, 965828, 651034, 203647, 599549, 673766, 932412, 837720, 314183, 398354, 245819, 96185, 184938, 261441, 920320, 951276, 786373, 208724, 229752, 237007, 435098, 239384, 305377, 859027, 122389, 653550, 922244, 684568, 308059, 250983, 383777, 849138, 852018, 425101, 305440, 520408, 349544, 892517, 619085, 135657, 436223, 978742, 4342, 870776, 319046, 689403, 974582, 88058, 786217, 864905, 568200, 922630, 950785, 907276, 678427, 243982, 827034, 41263, 687764, 680774, 845049, 333885, 651251, 952628, 586743, 237307, 663785, 362019, 86055, 110121, 312003, 809299, 561406, 421447, 924900, 515252, 505989, 191158, 626246, 48926, 494424, 761306, 339649, 187505, 43916, 185730, 266403, 643106, 817386, 930034, 805711, 301024, 983723, 705132, 28098, 356444, 163659, 166759, 218566, 847412, 707027, 677455, 272265, 847017, 641374, 612237, 876047, 466678, 211913, 141549, 905050, 227343, 5952, 876114, 188418, 975209, 4138, 484979, 106013, 640729, 200464, 805448, 874147, 618992, 688841, 777060, 867400, 579415, 795963, 524157, 889263, 171454, 23944, 292495, 473812, 94859, 841026, 230120, 729240, 739775, 872479, 56336, 801684, 9135, 59303, 82661, 509131, 815608, 767461, 475901, 307396, 146582, 613263, 793868, 701952, 30840, 45403, 620957, 164608, 315840, 182391, 581627, 152018, 235311, 200650, 313115, 467800, 887970, 27995, 672954, 293102, 293079, 115431, 146516, 553726, 704204, 689913, 404932, 825950, 18155, 229937, 58595, 761874, 261299, 244221, 111311, 310284, 871694, 657258, 59361, 156568, 416304, 25172, 609367, 441237, 366274, 654195, 805598, 395924, 558107, 106350, 841635, 535264, 565721, 932065, 229422, 150922, 857592, 611938, 268368, 214422, 954257, 706167, 430868, 349482, 277874, 251027, 525485, 937432, 872472, 582024, 895145, 66424, 761206, 865808, 392061, 936511, 208506, 683430, 750039, 327764, 730140, 813316, 868769, 765276, 737622, 627272, 290552, 669591, 134000, 386533, 532464, 163773, 248695, 858468, 697820, 868007, 668299, 220080, 391369, 645878, 840514, 221096, 42037, 815610, 740529, 48045, 535620, 261615, 545504, 458811, 902998, 384257, 193650, 111799, 887626, 917498, 706815, 624528, 307482, 611723, 683840, 113045, 466585, 52537, 25676, 541205, 753467, 680629, 788663, 36860, 258454, 738984, 410701, 338154, 938688, 431046, 86214, 935806, 572408, 361424, 606991, 833546, 792639, 142368, 572557, 522550, 195016, 277196, 425822, 33302, 524447, 17484, 218277, 866518, 390137, 167557, 32688, 523898, 542190, 803873, 51298, 286488, 815503, 63416, 15661, 909013, 15211, 144364, 617782, 668227, 851040, 421506, 827023, 621570, 687381, 884876, 876280, 687964, 736195, 944648, 544185, 871242, 41937, 42498, 949391, 374707, 747464, 794287, 915150, 387082, 28914, 434201, 231449, 5735, 625233, 786746, 764697, 368057, 795094, 575155, 707857, 666707, 879567, 791140, 667286, 610041, 204066, 357720, 581009, 586220, 147714, 39384, 142683, 889405, 739166, 838913, 932756, 804001, 553810, 400974, 451388, 130801, 879526, 410923, 674325, 281576, 593686, 558814, 154183, 818490, 512734, 98586, 720580, 115472, 201220, 458859, 30025, 204088, 754622, 599371, 169184, 176623, 619592, 821347, 636076, 707906, 110789, 562957, 311871, 497570, 894819, 164861, 714091, 636381, 231875, 253513, 499178, 294107, 319423, 669419, 150743, 309100, 375310, 523497, 51474, 47328, 719199, 175605, 63009, 313566, 482845, 515675, 499661, 389278, 935364, 107589, 371854, 41811, 386126, 102517, 195088, 369659, 472105, 423353, 104552, 84520, 215874, 751702, 701783, 621138, 763672, 905911, 512936, 264760, 381517, 734731, 522345, 595340, 383794, 635630, 912967, 506745, 74488, 310079, 110247, 365426, 744321, 164853, 162729, 397764, 619386, 94289, 853167, 703265, 578383, 502559, 926627, 244060, 420305, 472275, 452244, 255348, 37803, 546670, 939564, 498080, 193578, 450543, 633395, 280135, 944281, 867806, 532874, 380423, 20229, 125811, 367420, 67833, 898451, 264978, 503045, 624009, 571407, 912419, 120317, 665844, 885200, 414955, 222538, 117009, 601885, 222817, 501880, 399681, 29585, 102472, 631327, 949871, 898930, 801511, 901133, 303033, 740288, 743741, 494671, 664426, 924260, 87799, 159387, 295753, 83374, 846587, 413144, 193460, 734600, 267056, 578518, 759036, 876025, 506053, 97463, 449212, 594648, 805884, 726533, 316636, 345084, 224859, 979466, 599079, 707507, 474626, 330311, 776636, 501158, 244033, 231401, 485135, 840894, 772946, 213588, 371207, 867186, 196998, 710835, 313173, 395005, 50557, 800134, 742806, 104149, 721748, 333976, 815067, 309786, 170704, 942053, 276991, 1336, 397323, 575338, 821751, 361621, 852108, 737178, 399551, 913846, 40952, 218354, 429448, 74999, 604237, 640870, 865669, 156886, 120830, 419594, 973522, 255198, 459739, 64998, 474218, 35290, 130388, 454310, 328563, 418148, 425, 102843, 591586, 396522, 411228, 383634, 723381, 975113, 252360, 917495, 158422, 900891, 219678, 279737, 503538, 751287, 883587, 432067, 866205, 363533, 979171, 811642, 856803, 176817, 43581, 223767, 705161, 867885, 205538, 26376, 266545, 215933, 163498, 740834, 562281, 664678, 549425, 835702, 608559, 295035, 190506, 638439, 402706, 807375, 663732, 45953, 613152, 659823, 769030, 248594, 323708, 688955, 126231, 596063, 847963, 524156, 641138, 82802, 896058, 145551, 93216, 274743, 425604, 977483, 189712, 173059, 935022, 286783, 467809, 962240, 789630, 46207, 817861, 472341, 574797, 312408, 479711, 608194, 723331, 506320, 138120, 621783, 247291, 335560, 47344, 932824, 636127, 910747, 479244, 794690, 264903, 255978, 686096, 845723, 218280, 301270, 884613, 114830, 846921, 51554, 966194, 906400, 543938, 730612, 25666, 969371, 923171, 844772, 545329, 244096, 385958, 397841, 681026, 770989, 241116, 252389, 977220, 167078, 4097, 937330, 961843, 502647, 792692, 525940, 33181, 280926, 829045, 860778, 950780, 496887, 842154, 944193, 724179, 202158, 252082, 646672, 845588, 481077, 597097, 569077, 641904, 618056, 62160, 887061, 527578, 927826, 330801, 449789, 517675, 775547, 121326 ]
990,003
[ 356017, 846971, 641135, 977128, 412612, 298924, 133445, 178533, 457815, 234326, 485378, 662769, 286453, 408299, 833256, 630970, 565705, 258461, 795935, 864740, 144648, 99289, 935238, 865991, 704643, 333775, 651117, 618792, 895509, 590759, 947085, 904442, 915616, 790116, 952355, 275956, 16230, 437739, 71337, 213582, 672242, 695206, 884801, 925347, 2632, 976122, 542328, 219916, 175459, 259147, 783270, 855652, 858208, 177846, 830065, 599569, 792400, 330873, 291020, 966895, 781431, 589419, 451606, 568552, 807922, 393352, 893412, 293503, 818893, 496904, 398875, 735956, 550860, 494575, 188188, 608186, 600913, 748874, 875476, 879360, 384515, 888626, 792196, 611874, 735904, 167115, 965671, 661406, 616612, 852338, 754224, 655360, 417122, 415351, 982703, 158727, 900238, 699980, 140951, 97108, 946163, 307330, 536635, 181172, 177401, 347610, 41833, 589538, 411033, 528486, 798922, 872134, 575608, 110929, 972957, 713674, 168463, 674641, 177857, 29560, 794792, 357433, 720583, 581882, 755122, 211150, 577188, 272676, 407924, 880271, 734272, 311735, 987949, 860668, 474897, 358391, 113473, 143374, 380273, 427040, 474051, 814248, 721519, 766527, 1428, 40201, 91149, 602228, 923062, 829765, 209661, 455648, 231799, 819914, 831893, 633877, 412049, 812399, 111542, 523260, 547110, 361691, 438258, 464569, 357752, 641999, 141600, 419696, 526146, 369437, 967896, 716141, 687350, 280689, 325404, 562736, 736366, 329895, 8499, 85977, 861828, 538879, 457258, 486358, 277181, 128468, 125990, 421032, 874168, 428300, 26928, 541516, 498793, 444025, 720458, 321899, 856203, 87027, 483223, 819734, 933158, 23030, 187133, 679520, 473284, 403492, 584615, 347226, 85235, 954258, 536272, 296267, 515692, 820034, 369475, 298938, 910814, 89939, 726618, 144837, 600376, 125417, 90316, 759765, 715173, 14559, 605364, 736433, 652593, 939678, 80766, 341593, 902813, 977495, 652022, 641343, 63219, 597832, 630199, 780511, 695099, 333695, 385984, 347081, 21931, 909735, 5491, 673079, 909321, 643712, 630297, 812291, 933372, 424723, 836748, 427303, 156228, 728039, 917970, 925379, 884837, 782797, 104073, 642005, 678101, 918859, 138650, 174893, 215564, 762361, 582875, 610108, 282199, 709101, 45824, 587148, 331692, 944725, 824856, 802494, 920573, 684764, 200623, 32753, 845893, 8038, 102396, 745684, 590360, 444488, 894216, 401890, 88929, 978297, 576545, 519844, 916678, 219874, 1901, 466297, 201348, 403772, 918776, 210828, 97086, 953111, 54231, 311470, 71824, 821731, 74679, 711121, 819115, 300141, 149839, 809993, 742128, 327899, 37916, 33409, 248340, 438481, 931177, 882268, 210539, 662574, 597980, 769238, 36918, 764596, 830980, 514021, 562518, 506843, 200687, 932489, 313167, 495357, 249061, 202247, 424926, 288442, 303009, 551971, 352229, 927700, 883217, 286538, 655144, 432850, 813002, 394404, 674349, 492961, 446276, 549091, 122022, 681161, 727678, 23864, 352312, 877334, 167832, 360505, 395276, 270637, 830566, 742519, 410789, 161961, 906669, 229340, 155695, 102055, 909097, 343902, 513403, 281260, 926162, 741724, 208243, 733140, 161454, 585177, 160600, 845322, 291439, 460515, 2255, 209864, 946833, 81888, 526105, 582897, 667340, 720336, 755933, 88653, 372213, 225595, 529336, 608365, 654610, 232916, 930461, 334319, 432936, 449198, 699579, 824459, 429585, 131639, 936559, 724368, 386593, 945740, 298425, 913615, 185332, 269274, 867734, 727707, 646901, 51730, 835719, 484450, 388854, 174442, 644484, 162795, 518418, 117574, 476797, 848716, 970339, 898365, 597896, 16303, 546737, 214843, 485485, 507095, 17614, 284961, 517261, 389491, 523961, 692889, 105741, 965039, 53587, 367677, 542108, 867207, 337845, 938690, 528031, 533789, 354563, 99190, 33524, 330165, 66050, 510629, 639276, 579644, 918273, 47098, 400967, 581715, 567414, 807561, 899024, 61703, 865419, 443830, 160922, 891971, 298342, 716299, 928447, 618437, 74976, 301189, 695299, 50663, 926002, 111333, 719343, 405154, 939065, 939268, 683627, 350562, 603995, 473760, 927610, 808412, 802292, 490888, 258030, 579919, 770526, 763354, 695615, 596893, 450715, 102076, 715992, 622931, 861814, 79217, 727445, 202813, 68048, 395489, 613343, 43483, 207416, 347829, 839113, 548317, 653401, 957867, 428836, 676384, 132539, 664505, 966700, 498852, 344502, 289433, 717507, 340419, 346675, 44186, 177316, 153544, 309689, 941053, 364779, 465955, 981231, 8727, 214348, 941721, 600091, 400537, 936571, 187179, 635275, 811679, 907606, 207539, 637379, 243491, 329935, 820949, 125696, 313756, 370602, 446954, 125450, 567442, 236035, 87640, 752873, 343561, 659243, 701085, 595377, 852070, 419047, 441752, 847786, 17754, 66701, 341614, 153184, 421699, 472628, 960393, 728675, 422961, 683660, 533835, 512889, 663421, 210142, 260372, 377210, 529204, 132640, 641932, 369861, 921377, 449147, 907413, 160381, 862027, 50132, 471706, 109895, 624321, 217176, 236362, 885385, 613515, 257411, 821551, 61003, 925115, 807791, 933882, 638325, 470758, 248904, 151229, 241713, 957023, 292477, 780898, 370921, 115963, 167944, 954944, 950099, 903786, 631033, 398388, 246013, 253506, 15867, 646889, 388376, 935258, 668192, 607919, 194655, 355346, 362337, 617937, 178832, 343837, 160409, 454186, 811651, 100610, 289229, 271613, 498224, 820254, 886135, 273227, 428220, 815431, 833802, 811914, 619674, 719990, 59532, 941880, 159697, 658474, 45772, 743570, 687104, 246853, 295427, 863323, 432670, 977428, 491429, 541439, 876018, 471657, 913083, 98494, 842514, 360642, 279925, 554206, 54842, 858997, 298108, 664386, 508433, 818890, 518516, 183640, 548748, 52674, 739893, 360489, 106842, 864346, 25540, 163816, 397743, 781703, 134456, 402673, 178220, 347901, 361182, 352149, 912008, 546006, 341025, 853061, 383789, 2170, 462179, 327211, 58602, 968027, 707095, 12671, 583769, 191969, 963155, 394558, 881095, 423376, 73771, 977411, 541422, 696658, 550068, 336039, 152370, 118983, 136809, 873526, 240162, 858859, 227302, 319989, 818384, 266936, 115798, 385361, 470779, 882342, 868166, 474380, 640342, 52106, 71158, 364044, 375487, 592476, 936351, 747047, 574719, 215902, 101430, 518867, 594930, 344584, 369124, 39495, 313600, 986773, 912435, 196496, 110816, 32680, 690829, 930176, 19232, 61738, 967391, 867439, 959867, 552772, 639605, 647326, 440298, 56489, 513119, 699102, 184884, 596811, 860850, 932416, 131670, 426650, 456478, 46846, 696743, 985498, 718390, 820482, 247099, 963812, 446343, 406207, 980522, 386373, 106483, 355221, 677351, 438135, 189290, 94057, 123691, 305055, 468675, 135093, 904309, 551007, 902860, 740658, 458202, 166118, 691336, 490369, 556263, 685881, 226005, 919590, 130420, 633974, 409296, 107928, 101819, 23929, 616613, 763585, 883649, 352669, 250943, 638417, 233624, 674403, 871308, 418500, 230389, 44503, 691849, 687472, 974754, 461437, 295111, 343892, 15468, 80533, 366893, 766289, 723320, 776726, 736754, 627130, 54804, 541813, 807518, 543808, 432861, 47646, 189619, 266909, 189681, 436094, 969117, 152494, 710417, 223859, 494434, 664822, 631425, 523404, 511124, 916479, 218257, 848610, 200732, 472412, 368963, 831811, 703097, 334838, 967575, 389299, 673421, 662602, 531958, 302962, 117872, 70002, 915609, 266393, 710907, 175298, 557501, 570008, 337088, 151593, 854670, 815741, 55602, 720920, 651207, 355594, 889742, 490414, 178796, 489875, 577385, 973744, 516811, 49084, 958900, 345547, 560589, 169628, 509739, 619734, 470480, 663215, 239759, 920537, 816558, 401021, 399075, 865633, 253271, 574486, 322010, 245318, 794228, 276525, 743984, 216274, 784976, 542709, 229264, 167228, 269718, 165421, 424302, 530342, 69987, 362162, 267011, 419183, 227731, 863274, 973159, 572641, 827564, 596072, 474834, 914875, 989116, 903514, 142527, 6937, 741875, 987638, 832008, 342057, 623914, 228217, 972027, 575909, 673826, 968135, 558852, 719190, 183477, 146538, 454576, 194435, 444688, 67178, 7125, 221294, 61453, 830166, 359907, 822118, 740225, 773102, 132692, 76592, 946766, 297278, 957234, 748380, 642721, 287885, 614292, 793630, 420638, 94872, 314651, 200287, 311730, 206498 ]
990,004
[ 141880, 713969, 219202, 766421, 857562, 104571, 328863, 141859, 330700, 513703, 403879, 577097, 570256, 942705, 365817, 303170, 789339, 270507, 664049, 491025, 697745, 526849, 187463, 689075, 65414, 668531, 150376, 87039, 469991, 544750, 99451, 341607, 525073, 253783, 358840, 12076, 645008, 206455, 309930, 192438, 790681, 278722, 263810, 13761, 119577, 131835, 230211, 488978, 338407, 297509, 986121, 643691, 572138, 659548, 335231, 976747, 652348, 74396, 684588, 588590, 928955, 952357, 267481, 316964, 828312, 693887, 480405, 394511, 822993, 877384, 622650, 364685, 933628, 127293, 845565, 574275, 756245, 735342, 418367, 41855, 572922, 347863, 300403, 159802, 629805, 92278, 225526, 661203, 7984, 380783, 45991, 451160, 237032, 514043, 286505, 443303, 546091, 343710, 839784, 414341, 393709, 840217, 436856, 252892, 511239, 328588, 30688, 705931, 643948, 516118, 407508, 300828, 319731, 219956, 199653, 72402, 431108, 288741, 188242, 98801, 107483, 309220, 729362, 51802, 660111, 376000, 68551, 470553, 836027, 389807, 720613, 788794, 83007, 260880, 380928, 886518, 328873, 86557, 137027, 947828, 819962, 199163, 132218, 376390, 925120, 357676, 695534, 846935, 633770, 243177, 200942, 512200, 890660, 380861, 404208, 233139, 711475, 858407, 734623, 536838, 377574, 529202, 832068, 215746, 964532, 29648, 127224, 194690, 698407, 110461, 395909, 377946, 96866, 490259, 498664, 964966, 163611, 900268, 881399, 938440, 699976, 622143, 541705, 809985, 584483, 801852, 655382, 892890, 838645, 363092, 311105, 148449, 870054, 111501, 962835, 457282, 810159, 226816, 407129, 919563, 290162, 253336, 630069, 667430, 964809, 672517, 413064, 827267, 243488, 397600, 628550, 669156, 7840, 101132, 166680, 162758, 127390, 215121, 203237, 463151, 412067, 896380, 147361, 422581, 838763, 419999, 201684, 748788, 151851, 26720, 186610, 652423, 638649, 481766, 264268, 679702, 286830, 295706, 370746, 199861, 356552, 588349, 510162, 146237, 65783, 641603, 813391, 143096, 349217, 66470, 961829, 54667, 101551, 61872, 989553, 963306, 900412, 1577, 35005, 908208, 35426, 253512, 169353, 609852, 668441, 582773, 562036, 518076, 374737, 503333, 475437, 356894, 423914, 375923, 28133, 834381, 326401, 684360, 211768, 851371, 774625, 210979, 547239, 178289, 586934, 876937, 581310, 160052, 787993, 7016, 45544, 910682, 45970, 416207, 120571, 141558, 819592, 604301, 488973, 953103, 145321, 865462, 700959, 116863, 693864, 571686, 927096, 275449, 945457, 247742, 668948, 409703, 864697, 845118, 834650, 411329, 716596, 577328, 129673, 330806, 805323, 576588, 615261, 435684, 268181, 712136, 382719, 848573, 464182, 588011, 318267, 544902, 968259, 852387, 741937, 165286, 588992, 224454, 849625, 986879, 881520, 190235, 466622, 51755, 552565, 171503, 170820, 629305, 139420, 737058, 265068, 150792, 159816, 673244, 286936, 778016, 24750, 889707, 783945, 202810, 829180, 853495, 707051, 657986, 53725, 108095, 737738, 931836, 94491, 809140, 631510, 177202, 62436, 975868, 58791, 245798, 834617, 284714, 21692, 744380, 921168, 12081, 199171, 113641, 370582, 718279, 878689, 267620, 517985, 304296, 787858, 687865, 68563, 203020, 839430, 786610, 140198, 558541, 614598, 265871, 751861, 561415, 303722, 421146, 717243, 352543, 513798, 530421, 223953, 984207, 453274, 601940, 596199, 708294, 858917, 686571, 587786, 896232, 151569, 303277, 176499, 18144, 494758, 232517, 619537, 775726, 150207, 900627, 698744, 210973, 686769, 301771, 832056, 863989, 129696, 767251, 90234, 939919, 392824, 593472, 832431, 242344, 676159, 848073, 467616, 121917, 906059, 25433, 574760, 212529, 132374, 1606, 538306, 654605, 706823, 800979, 515453, 337930, 289854, 303930, 822733, 226722, 827200, 146059, 476505, 165104, 654925, 668068, 849499, 788517, 546761, 759384, 676766, 264487, 274386, 938794, 60299, 798006, 535696, 895928, 377490, 926980, 434826, 949420, 225146, 533637, 708195, 69327, 70990, 407170, 90054, 675529, 104491, 784725, 221752, 566417, 638313, 753451, 178783, 353071, 931168, 695224, 83485, 636878, 72087, 304853, 711034, 975193, 152844, 199858, 100892, 857704, 534294, 240690, 369476, 50430, 442131, 350598, 823880, 458501, 897960, 895025, 510265, 841701, 547055, 265625, 266897, 765881, 38426, 16088, 142828, 608063, 440490, 237083, 316156, 886863, 469964, 344260, 751969, 613533, 180553, 146956, 812004, 625370, 838555, 254724, 345415, 375991, 659677, 845809, 411910, 618044, 346220, 719241, 115231, 554226, 113171, 875076, 340637, 343409, 224026, 489414, 91621, 341510, 397261, 798153, 377426, 862580, 40375, 743495, 747057, 158919, 228603, 886161, 8719, 603332, 279782, 443894, 838141, 64397, 504967, 72796, 162096, 551421, 984449, 705612, 109055, 843803, 826534, 483800, 471418, 573795, 769387, 502432, 845708, 297111, 96171, 668134, 709018, 264564, 976335, 507953, 514888, 205285, 45948, 730386, 916811, 228846, 884672, 444296, 485945, 195896, 609844, 462101, 87035, 810942, 633775, 403149, 720093, 287857, 281512, 581965, 265953, 340675, 200738, 323811, 615347, 524482, 937945, 496134, 284040, 928162, 936428, 777828, 281010, 473230, 846362, 907008, 550978, 28253, 523585, 987610, 142826, 189632, 927284, 98600, 760925, 880539, 645841, 668767, 934404, 336118, 480144, 877450, 208090, 747228, 896875, 52038, 403876, 244084, 585902, 101299, 856684, 283709, 887705, 887273, 327237, 350886, 947754, 104699, 555941, 763344, 255256, 754939, 644111, 220544, 174961, 320560, 472748, 175802, 961424, 340033, 431539, 491638, 17352, 21327, 931203, 245846, 800068, 275385, 290476, 65817, 970118, 261405, 842909, 848650, 151141, 877937, 607962, 198833, 859900, 969755, 174061, 436708, 899078, 813671, 519643, 164355, 805387, 748390, 171489, 115461, 141918, 266215, 173378, 950228, 621191, 247310, 127261, 614723, 658154, 989493, 289810, 220928, 31658, 25410, 64926, 221754, 419208, 796131, 978889, 768485, 520643, 99593, 862426, 252243, 779394, 644896, 522625, 360727, 922748, 891466, 687369, 60071, 986266, 529719, 486471, 226334, 519121, 386335, 954102, 537400, 875915, 641137, 253143, 869080, 390302, 21932, 547577, 195533, 951581, 430120, 346727, 980993, 86675, 959780, 43893, 48602, 508983, 142107, 675511, 194671, 563532, 46700, 959482, 663362, 215904, 483366, 372563, 310540, 893803, 140295, 246498, 592100, 721059, 836276, 973898, 107958, 651725, 761325, 300507, 504013, 642934, 751653, 77248, 368301, 613262, 706295, 464410, 724227, 864273, 512914, 322558, 532510, 821374, 918440, 989292, 954096, 985632, 330462, 682896, 808951, 553546, 46952, 590660, 403868, 493937, 729933, 334416, 436555, 755570, 156469, 315188, 826178, 149181, 413362, 508632, 572489, 90067, 707760, 780312, 601997, 172854, 509540, 200783, 449705, 416280, 336432, 555231, 568959, 716434, 324935, 836189, 799805, 628270, 639199, 337843, 171660, 980383, 610882, 195431, 854470, 378857, 152621, 434490, 363650, 859202, 518316, 885729, 94112, 436679, 438645, 975481, 422855, 846843, 54952, 513092, 494869, 57605, 826845, 400678, 436167, 820153, 620053, 939848, 424223, 43003, 123024, 494237, 183945, 196256, 676269, 754989, 626104, 317029, 576332, 895931, 551108, 252146, 430438, 725916, 576035, 714924, 864267, 400145, 722517, 29117, 76687, 393707, 672533, 51892, 426892, 958016, 241991, 204149, 660712, 306332, 459682, 982799, 264151, 410291, 71936, 191310, 342027, 483886, 630461, 540449, 41092, 155760, 700178, 102282, 500849, 327611, 255210, 13426, 903251, 545267, 194870, 768178, 956214, 588801, 873294, 828748, 886634, 845878, 589393, 390469, 591688, 501911, 298963, 623445, 674682, 207590, 96469, 576398, 199197, 716469, 61013, 525739, 299486, 797552, 544677, 723635, 231093, 201054, 806593, 71189, 32161, 248832, 115006, 147651, 273902, 707262, 472815, 728135, 665813, 770883, 719995, 6027, 430298, 551557, 727478, 122824, 821215, 730915, 194199, 934067, 776173, 76873, 700606, 38205, 877682, 875058, 524400, 606790, 443419, 667376, 396461, 957337, 950402, 853757, 300013, 848110, 770900, 577759, 67215, 949565, 175117, 814500, 104137 ]
990,005
[ 326397, 205545, 376270, 886969, 478761, 119625, 160776, 441619, 325784, 920672, 708500, 63658, 888052, 878969, 761091, 82025, 650216, 921768, 443954, 936922, 66541, 833054, 430066, 575611, 209717, 519075, 16474, 973274, 291538, 29524, 421444, 696383, 932707, 837525, 845339, 719768, 327304, 563687, 126931, 20332, 187949, 413923, 4253, 688098, 401360, 548177, 559896, 427651, 742723, 474529, 240875, 131067, 41563, 444541, 736155, 952481, 122568, 470704, 951789, 343394, 207643, 17142, 821203, 700734, 258543, 779117, 623124, 320638, 601304, 27714, 218965, 34586, 599407, 414006, 892862, 711712, 686893, 251152, 179864, 135894, 528268, 52719, 627142, 413098, 231057, 188841, 499139, 777641, 556030, 390663, 283849, 18833, 696562, 2805, 566026, 72530, 85484, 664258, 207244, 59666, 24704, 951694, 146067, 693459, 470692, 294311, 723511, 312061, 531305, 13031, 719904, 610831, 222630, 898336, 293804, 925979, 514180, 985281, 118660, 988040, 171679, 46065, 342183, 702278, 340520, 240566, 656884, 186170, 37415, 754860, 842747, 444788, 842989, 175524, 32389, 763971, 977354, 941139, 602014, 834486, 197943, 693694, 254180, 262204, 805372, 262143, 358850, 30986, 189401, 488381, 751670, 81148, 756566, 125363, 563566, 197908, 271824, 202457, 425987, 402338, 583902, 652290, 713276, 835574, 476220, 89569, 774904, 956100, 568753, 433293, 437066, 239997, 86655, 872428, 388861, 816264, 879984, 257304, 879471, 909514, 542096, 672755, 447581, 11652, 841337, 283869, 949403, 885197, 118243, 126355, 608653, 504504, 972931, 557667, 123190, 409313, 595439, 434701, 538235, 820542, 721146, 434226, 535201, 787425, 476379, 9637, 145263, 651033, 368342, 976688, 166453, 407811, 516167, 790039, 31493, 945460, 348856, 226245, 398516, 676006, 541211, 343302, 672940, 179763, 537163, 114597, 77639, 833913, 624729, 986777, 45603, 712105, 469748, 89626, 516294, 955327, 375247, 41424, 959788, 519430, 410977, 87096, 759479, 527700, 658754, 74562, 915999, 734830, 178381, 985923, 28069, 550655, 294611, 575579, 644994, 163305, 483877, 600741, 629223, 353752, 634884, 647773, 110905, 153380, 572473, 809290, 888203, 759128, 98095, 385900, 837332, 657036, 592356, 306682, 194515, 792044, 596826, 460755, 232874, 404456, 239298, 110405, 128622, 677397, 430538, 303386, 534359, 72420, 39760, 191535, 959406, 904091, 36179, 396029, 97789, 583161, 15244, 287952, 772937, 305069, 22515, 730141, 95012, 568892, 485258, 451006, 414333, 937942, 758145, 163029, 829442, 159814, 824664, 481776, 966947, 620993, 187538, 149721, 731288, 737208, 842542, 438174, 554737, 821292, 395193, 193187, 323939, 125004, 344499, 801364, 35323, 809959, 158778, 483557, 524514, 403515, 215125, 334049, 533113, 59647, 250561, 871138, 572502, 559754, 723219, 765535, 863737, 230428, 833259, 276422, 874247, 411673, 809691, 868100, 37025, 950538, 979972, 226568, 587276, 984611, 209230, 429108, 675442, 452535, 906012, 146961, 670623, 482761, 921085, 758349, 404021, 430749, 829815, 423072, 29971, 804729, 77434, 394531, 857787, 983489, 956911, 377299, 695738, 568477, 474565, 752513, 320973, 574495, 411554, 667960, 60672, 488814, 380207, 882795, 86259, 268168, 464526, 158021, 372900, 101848, 302366, 794840, 765112, 711311, 863481, 171797, 445834, 303381, 857167, 508378, 515842, 345320, 302453, 813154, 631286, 6785, 185425, 608239, 955742, 28605, 831282, 758110, 160302, 691675, 850767, 383903, 162939, 799729, 627193, 358838, 763012, 78083, 851626, 912563, 912161, 279112, 10320, 106284, 480194, 220834, 949682, 239840, 111239, 666009, 843404, 240815, 208372, 62900, 775958, 961085, 29838, 877955, 562332, 512468, 72917, 832742, 172438, 147968, 852858, 846940, 430523, 815232, 33375, 556433, 302399, 426956, 167434, 336806, 785976, 445622, 300876, 679913, 513763, 437026, 840171, 764795, 124627, 605840, 55116, 217701, 382579, 982773, 258391, 878631, 840639, 768436, 559041, 179478, 538847, 611225, 922633, 623252, 76182, 413494, 156810, 391464, 737438, 776924, 782980, 742782, 288514, 597714, 101178, 739673, 487911, 693388, 258400, 489912, 106034, 404395, 225398, 236656, 60256, 510887, 371037, 955827, 59243, 480136, 67690, 959028, 601881, 546291, 780598, 182658, 471719, 726735, 341260, 106774, 146753, 652832, 527109, 557793, 962558, 882174, 100093, 988526, 629942, 625650, 779585, 733376, 675323, 230316, 564540, 633338, 889465, 877627, 974477, 660847, 256767, 913440, 661733, 942795, 697652, 615867, 722344, 914280, 322433, 2575, 307487, 550573, 135028, 686207, 75202, 516223, 424019, 229153, 78049, 890886, 33116, 887363, 39401, 486616, 586547, 402847, 351880, 38234, 129, 344011, 793954, 881775, 693243, 385948, 175589, 243001, 745661, 510213, 100889, 241956, 855134, 546907, 598931, 943768, 360484, 620070, 70721, 763027, 744415, 929333, 334643, 176716, 896956, 660957, 957508, 566841, 353546, 134447, 762715, 450706, 531744, 576461, 561827, 458614, 173676, 664515, 377618, 788193, 653771, 333075, 285980, 579108, 306898, 908078, 127162, 69163, 952572, 710828, 841233, 187540, 324883, 170383, 674441, 773975, 779962, 888859, 138507, 471144, 636744, 42172, 121308, 345860, 701346, 44489, 56932, 456184, 875478, 469894, 102523, 409121, 404475, 257071, 120150, 984829, 741030, 263505, 179457, 665689, 731317, 829170, 720638, 631605, 698210, 133986, 540776, 24305, 274466, 515964, 271132, 611126, 37811, 184413, 108065, 14270, 429210, 640571, 564317, 929530, 273116, 956706, 17321, 414497, 218099, 164468, 377704, 303041, 971412, 903367, 802731, 7032, 447930, 45775, 488094, 711811, 275005, 434625, 899362, 159540, 423831, 956764, 36661, 538457, 63628, 963210, 692498, 641855, 789166, 738810, 529300, 326594, 100461, 366487, 486861, 24638, 744744, 97309, 568700, 798165, 498392, 247692, 432737, 873966, 49125, 138691, 429189, 221871, 456662, 631148, 655279, 827728, 969930, 164551, 482700, 532666, 950684, 160607, 518956, 903154, 410764, 363061, 315855, 29889, 359004, 657821, 405804, 795789, 962516, 493437, 46060, 580551, 953067, 504867, 64167, 623176, 174815, 935184, 713370, 225728, 734364, 723883, 824294, 284141, 904088, 325334, 447108, 313194, 36993, 79878, 551000, 759377, 897864, 151589, 134332, 32220, 501983, 425457, 454080, 510835, 706184, 542, 571081, 397884, 44005, 895729, 260380, 454333, 198158, 400611, 259357, 626282, 27909, 687189, 563414, 924400, 971391, 917147, 894754, 340550, 584238, 456327, 72800, 70758, 128466, 350520, 657813, 266059, 106072, 711620, 727827, 964918, 24115, 27589, 601239, 258224, 464225, 348095, 145197, 989993, 816597, 89372, 627341, 382775, 313365, 590080, 715784, 835707, 159667, 766045, 596248, 597568, 826406, 541285, 692785, 445340, 898097, 709421, 349929, 152989, 941764, 383014, 229818, 698818, 701737, 925009, 369241, 597827, 907712, 874096, 230707, 872586, 971443, 932510, 257679, 493497, 846089, 10983, 312068, 809738, 428949, 377074, 762159, 267656, 940933, 84767, 495056, 896665, 608996, 6278, 594070, 223436, 911326, 663055, 976784, 247852, 12514, 325794, 622089, 340390, 15668, 949960, 542023, 297754, 159029, 365880, 146552, 437312, 346298, 904293, 481041, 96731, 309502, 883394, 833867, 342625, 608597, 796089, 490104, 462340, 113230, 383197, 363262, 441193, 455757, 203542, 303226, 868077, 980546, 448893, 356579, 332972, 673483, 261917, 209368, 813843, 45238, 555072, 487295, 449895, 238964, 613992, 771487, 451439, 101261, 363857, 516873, 285318, 296565, 768872, 284887, 895429, 842684, 507603, 318661, 141217, 41660, 30665, 546223, 899543, 895984, 175109, 195998, 814013, 916958, 77732, 757997, 372272, 145125, 795341, 32852, 510501, 292429, 571030, 16220, 665708, 276226, 599065, 591536, 452809, 199531, 708981, 983411, 576775, 181977, 186681, 631387, 253476, 528835, 68179, 919786, 960306, 379358, 126134, 372295, 440092, 612249, 874083, 101275, 147050, 755194, 640270, 875576, 67212, 168131, 507068, 298323, 446503, 82224, 407815, 986917, 979286, 810830, 966247, 592000, 390050, 756477, 753099, 148169, 972546, 558524, 873029, 124618, 687462 ]
990,006
[ 27960, 651030, 197108, 602531, 73501, 135179, 579936, 307684, 3149, 147635, 779532, 878815, 647235, 363370, 525503, 505581, 117460, 701096, 489836, 118100, 690632, 545028, 389061, 575144, 806292, 485371, 198741, 471896, 727898, 623986, 727545, 167413, 95019, 699714, 975680, 962079, 918273, 331107, 641005, 617542, 779871, 957701, 297484, 893172, 500501, 780288, 537290, 710872, 618931, 599138, 880400, 540758, 287339, 420919, 293645, 919013, 128784, 18031, 751641, 901116, 866852, 272875, 158727, 298794, 620481, 328757, 330523, 114551, 531170, 637600, 549509, 622036, 149912, 809480, 267291, 325678, 270396, 432526, 702735, 917907, 217389, 682336, 317921, 259428, 948608, 573745, 203711, 892277, 176033, 449333, 145302, 154533, 128129, 577631, 132692, 325338, 62586, 912570, 168140, 531075, 495014, 710313, 542650, 812628, 351672, 143344, 438480, 6354, 11290, 248507, 697243, 168458, 329661, 478074, 665065, 375710, 98127, 83684, 965294, 794465, 448409, 622710, 317156, 870109, 361390, 976728, 650881, 849089, 228331, 723878, 983631, 84886, 978141, 501153, 550237, 95783, 348441, 793193, 206101, 106439, 76756, 50324, 574817, 724214, 471880, 611036, 16407, 183486, 263935, 128520, 362751, 708298, 367059, 5527, 337315, 54231, 919105, 780269, 831877, 379189, 988147, 300866, 877259, 588879, 915990, 745299, 686906, 756013, 127718, 298924, 357514, 278996, 675376, 102131, 697380, 230736, 153336, 551915, 111100, 669492, 567878, 593620, 953964, 673596, 698435, 66690, 364058, 642076, 561327, 422380, 783293, 69909, 635745, 218098, 679422, 884224, 857840, 156191, 893511, 942572, 110300, 34471, 653298, 266263, 476135, 525468, 8683, 196190, 412211, 454898, 85114, 150033, 735417, 48017, 760700, 138476, 799183, 939709, 885545, 113998, 900877, 734884, 179523, 536098, 923545, 414232, 749106, 926210, 139447, 103850, 850792, 941287, 83601, 338630, 514779, 808759, 622700, 478985, 144578, 31865, 283222, 248554, 354335, 185170, 873390, 787338, 94243, 629565, 596179, 95024, 725738, 137745, 489783, 875377, 437710, 959018, 648609, 934785, 492416, 817647, 458376, 436554, 331904, 984762, 757581, 631042, 375298, 463581, 857027, 892246, 593682, 638565, 26355, 582799, 177856, 162322, 169613, 628390, 594915, 774093, 57173, 706263, 976490, 736226, 563198, 512220, 8376, 932219, 377184, 612542, 271640, 399874, 474721, 40313, 625130, 447681, 391716, 787727, 809427, 448628, 987518, 19493, 1682, 361947, 480959, 112555, 49458, 642374, 602281, 955731, 393084, 775952, 646760, 916622, 90107, 367009, 686066, 560914, 229470, 883977, 490260, 640826, 732345, 702940, 909688, 90968, 588934, 73096, 325930, 644211, 404335, 21296, 778366, 329412, 442277, 716914, 24190, 17739, 179716, 748090, 807642, 122690, 894736, 28029, 337208, 132681, 92614, 920035, 402027, 243123, 44467, 158288, 714740, 128804, 227065, 308783, 75714, 722472, 382030, 399159, 953397, 77587, 965818, 595661, 660331, 616680, 155617, 594236, 874309, 231672, 563362, 584108, 465615, 235114, 29916, 570410, 432198, 306743, 255959, 905397, 18508, 882654, 354308, 408527, 656522, 811400, 956963, 215643, 59916, 602879, 946629, 294768, 946111, 40691, 41922, 194892, 129742, 780085, 751303, 100481, 516377, 648080, 671792, 408678, 716530, 130023, 774129, 571259, 404190, 818769, 50603, 26310, 285214, 203549, 806028, 593590, 729805, 393847, 382375, 61738, 671350, 616549, 774874, 45168, 336376, 552376, 965416, 415021, 447061, 116459, 47894, 629714, 480993, 145554, 287280, 148726, 693063, 732037, 200972, 161291, 906141, 200925, 750424, 539187, 580395, 397554, 863787, 938960, 679972, 789857, 610714, 543871, 656272, 685070, 541695, 77848, 398360, 390130, 334491, 177039, 588305, 458378, 438013, 855547, 230512, 704835, 986221, 89313, 526917, 293264, 365429, 68728, 163036, 805097, 867193, 539220, 336446, 770661, 204661, 795758, 155601, 644604, 401524, 801817, 126055, 923397, 615068, 735390, 620026, 266710, 912436, 591117, 955059, 835295, 118029, 148089, 604176, 313790, 856713, 455988, 122992, 236108, 847181, 298797, 173097, 67340, 682161, 28380, 259336, 643758, 553545, 871838, 809564, 708932, 654365, 633356, 661388, 593577, 520112, 136566, 964785, 803333, 25418, 973044, 397987, 526921, 245183, 488486, 629912, 321466, 367274, 752072, 306048, 332435, 153002, 248207, 36528, 120809, 407511, 353199, 272319, 717041, 201264, 118524, 713950, 523649, 332282, 312287, 532183, 21820, 25466, 739675, 143294, 829502, 150467, 764074, 837296, 507191, 60957, 755618, 690663, 837568, 13975, 465902, 148141, 93969, 638837, 139408, 188835, 508509, 943369, 422249, 818145, 326138, 842339, 571899, 886089, 260990, 220188, 974094, 437196, 784819, 731024, 528549, 140312, 683209, 718967, 242481, 860865, 723131, 179285, 640933, 602384, 554877, 894502, 676681, 738350, 341920, 713696, 598226, 372593, 743740, 750840, 917249, 62288, 661747, 913728, 157926, 207262, 743938, 336975, 858621, 432266, 656187, 482423, 645085, 152137, 6564, 719739, 314690, 930281, 850449, 664065, 319350, 183046, 839360, 859716, 746924, 951930, 825981, 915916, 386620, 21150, 682943, 704643, 854173, 669703, 7453, 525245, 333735, 234585, 293478, 432322, 966531, 487481, 929165, 649805, 201011, 335021, 545048, 257835, 949077, 39943, 429165, 108620, 811869, 505337, 695568, 36880, 206459, 213116, 764237, 929991, 605416, 130351, 389704, 935165, 49875, 283952, 884837, 66892, 80148, 451558, 341847, 583331, 333589, 715524, 583262, 315702, 933882, 42, 453398, 281865, 875768, 455174, 632864, 578803, 523536, 53946, 817261, 99123, 667022, 676637, 500633, 111238, 837002, 978873, 948277, 492132, 916328, 759399, 398365, 443371, 942543, 262866, 939939, 117150, 512210, 637105, 818090, 436283, 381693, 361198, 302258, 677911, 843629, 766604, 183682, 71437, 273158, 823506, 892970, 975180, 571837, 681211, 213913, 519026, 292078, 242641, 894195, 344415, 873266, 129712, 626111, 493931, 366379, 246644, 702468, 727029, 74969, 309292, 947296, 477068, 338635, 725348, 787556, 950073, 467567, 913160, 407503, 243393, 176040, 223061, 488359, 475267, 614265, 892482, 769767, 382843, 2828, 509924, 304615, 272133, 302484, 444521, 314243, 179429, 685944, 527911, 411965, 562298, 688824, 212778, 285753, 812402, 603824, 350268, 364689, 275200, 830464, 270685, 988998, 194080, 819565, 979790, 296756, 288623, 152932, 581398, 840552, 602454, 486800, 288239, 744416, 676417, 586034, 520725, 280086, 221830, 864479, 768326, 658320, 723178, 252697, 110524, 473012, 35487, 723110, 5368, 153766, 431570, 304744, 531378, 899722, 803995, 835949, 592540, 163687, 853476, 502048, 27861, 240883, 592143, 444926, 573238, 236359, 960319, 563078, 371653, 178408, 265489, 680203, 631233, 353662, 969900, 727255, 46640, 23647, 379239, 182266, 54512, 692573, 160462, 699297, 376943, 905068, 746868, 681005, 271558, 320235, 339903, 182001, 837108, 657828, 295272, 679539, 491847, 791382, 123525, 272359, 49447, 226374, 415053, 409833, 618247, 253169, 771306, 34548, 184514, 107577, 282364, 100737, 612968, 290972, 21955, 69295, 42741, 687756, 214420, 865243, 121806, 346837, 798611, 652985, 394316, 360314, 972649, 53568, 390994, 617468, 478216, 479548, 628323, 220146, 730594, 31321, 199066, 494163, 724918, 192015, 49436, 626454, 578385, 372087, 915378, 163411, 733940, 684383, 620461, 629783, 697547, 348454, 909575, 752339, 4743, 171633, 242284, 944514, 434869, 76708, 820482, 765817, 388716, 781038, 370749, 953556, 944646, 286658, 666497, 546964, 245719, 80890, 445524, 621794, 458308, 488818, 711440, 259758, 334486, 773860, 624734, 521279, 118134, 13854, 18597, 830104, 770891, 55314, 153671, 597643, 122467, 479678, 626639, 654442, 554400, 167925, 257213, 612407, 648274, 846837, 420083, 264590, 100700, 929537, 983115, 916964, 579481, 877398, 416870, 857643, 394124, 267920, 19033, 189169, 439460, 828155, 1205, 619359, 163297, 605052, 642565, 894913, 825768, 769525, 462450, 175463, 695423, 353737, 481183, 926419, 193851, 288333, 662468, 820633, 590254, 99529, 588229, 200218, 584126, 343465 ]
990,007
[ 651686, 3324, 897455, 967476, 827477, 36048, 632048, 364682, 204456, 718216, 603516, 956149, 354285, 188879, 304027, 132636, 97840, 672392, 183226, 419631, 761454, 912114, 237351, 370896, 310370, 862231, 12926, 988006, 52786, 694395, 426427, 31267, 593998, 327140, 171832, 949784, 355426, 619898, 937401, 769969, 449579, 728514, 471727, 78846, 292789, 748302, 800942, 169528, 454244, 493581, 92646, 10374, 947383, 63728, 554234, 459287, 603476, 612219, 930493, 146960, 508838, 577703, 119277, 2305, 987821, 401109, 771723, 712958, 161944, 352163, 204529, 115763, 27261, 630905, 845312, 917127, 87808, 510643, 715586, 226506, 620781, 440191, 129188, 736880, 267356, 632439, 629779, 838604, 203227, 649018, 784425, 912847, 368708, 205, 323201, 396692, 149816, 455832, 805493, 195962, 169939, 509036, 415617, 149805, 928003, 141935, 805791, 419434, 757565, 423165, 439693, 709569, 600124, 58716, 456286, 71929, 55183, 493375, 451605, 177427, 809413, 175795, 683257, 90088, 307907, 213298, 369980, 439658, 128465, 606679, 544908, 349886, 772740, 130737, 655582, 140779, 962527, 490316, 936258, 414149, 364433, 490808, 232011, 251014, 870884, 869367, 434709, 980446, 304241, 585392, 787710, 476146, 392928, 215911, 188564, 37094, 784832, 112520, 189873, 418949, 580505, 67522, 9095, 344387, 99571, 82812, 895484, 559979, 150421, 114098, 515808, 446616, 606278, 780770, 225377, 448017, 487547, 704812, 871102, 197622, 179389, 467766, 326014, 590606, 245516, 644414, 173298, 137340, 813833, 275688, 217369, 196338, 963740, 247125, 282411, 343628, 160963, 45634, 768442, 102702, 180702, 90995, 170464, 927001, 875888, 978552, 131618, 699864, 663526, 540412, 980972, 749309, 52017, 183888, 88762, 348336, 379400, 152173, 427783, 827709, 90581, 569848, 577289, 410836, 92983, 925264, 617912, 114636, 555960, 45083, 30641, 82630, 514405, 73718, 652154, 185167, 195859, 102754, 901925, 900588, 619104, 643942, 503575, 586336, 376436, 892910, 842926, 190458, 938311, 911240, 688379, 52014, 392223, 20908, 64552, 954148, 695498, 335278, 25586, 97664, 741856, 326449, 174069, 186764, 68163, 572622, 864307, 636900, 805864, 400578, 614729, 177130, 442506, 753689, 296681, 660547, 151723, 592544, 663471, 159796, 7430, 845634, 699010, 294028, 358589, 763564, 504649, 664917, 504531, 816601, 798535, 201174, 212483, 278872, 831917, 781831, 717685, 244026, 235163, 732996, 28274, 804141, 834881, 582904, 446857, 959398, 528074, 502631, 779633, 644512, 467762, 878927, 40015, 242156, 755915, 421836, 651040, 384659, 286889, 823819, 235395, 482053, 717483, 235177, 238999, 426304, 364011, 357660, 892667, 319023, 111095, 918838, 768598, 574325, 674252, 517375, 574819, 683130, 404448, 866229, 76087, 652799, 616595, 541401, 162288, 356853, 288676, 248990, 428365, 409177, 59832, 827356, 966505, 12897, 936076, 181445, 213569, 695486, 264882, 930051, 582701, 663741, 601625, 570591, 446710, 940856, 800850, 932993, 639179, 516537, 977143, 684091, 617557, 953171, 387493, 426495, 624685, 818704, 739720, 181670, 957530, 279819, 980655, 599056, 189038, 207322, 367687, 741463, 36331, 204599, 364545, 290543, 743607, 562039, 955047, 308421, 624788, 700956, 548372, 286447, 287092, 433874, 422212, 44735, 529144, 822075, 671611, 198639, 832745, 269230, 927340, 896304, 718724, 842868, 214144, 569770, 713847, 718938, 103057, 754763, 980785, 756080, 447637, 797473, 252421, 594371, 811205, 704511, 817806, 720208, 49891, 311214, 25288, 506487, 100911, 894955, 86001, 276519, 223629, 40759, 287691, 319406, 451778, 148792, 977657, 203245, 248972, 648193, 528560, 150133, 254306, 461117, 315942, 88999, 925279, 989271, 940906, 252885, 571239, 51201, 119178, 766464, 663901, 370371, 334251, 211626, 745835, 134323, 345390, 128247, 523138, 446967, 146868, 922551, 944887, 423669, 590916, 109847, 394540, 777673, 866197, 525729, 90926, 636807, 747870, 700850, 561308, 741664, 969320, 104254, 255746, 464650, 226088, 478771, 271654, 105614, 102307, 52947, 267536, 371842, 648006, 620529, 815240, 77414, 252617, 21251, 864072, 298147, 549667, 722993, 696608, 206279, 48138, 815979, 46442, 826263, 48682, 67482, 785701, 613379, 399088, 389992, 957306, 954608, 864013, 541502, 345001, 330054, 237422, 656618, 921671, 126558, 433054, 163507, 826288, 622107, 979081, 12560, 743261, 379304, 169914, 848156, 82082, 882992, 657662, 53595, 542209, 750543, 720446, 675104, 387712, 230992, 792090, 37031, 270189, 703877, 94113, 865564, 741643, 869178, 214545, 98026, 713309, 190900, 607621, 176278, 401875, 303185, 73101, 413767, 846588, 588094, 613849, 72291, 543487, 475960, 247584, 128097, 738315, 588511, 920794, 398959, 785617, 721440, 111103, 656059, 791070, 909092, 777677, 504299, 731757, 435966, 264854, 214684, 943603, 453231, 782732, 59280, 718416, 131751, 295719, 5567, 42054, 147413, 116535, 46463, 947892, 983872, 470233, 27963, 397343, 283227, 345704, 94632, 59067, 169736, 473290, 189468, 581886, 21051, 284790, 643560, 857876, 934087, 495994, 504933, 177859, 153020, 178713, 683943, 566886, 162463, 214163, 941241, 86721, 575280, 363419, 831588, 299231, 10820, 727998, 226854, 865000, 69090, 597446, 866297, 864464, 191163, 50841, 767443, 857616, 201409, 102153, 77664, 330549, 869963, 303876, 569449, 785259, 728198, 349965, 978292, 917643, 409639, 240741, 162688, 581978, 235460, 593010, 632609, 17180, 244136, 671765, 403668, 376063, 461176, 358114, 918660, 41, 598594, 377818, 443873, 585973, 460538, 608731, 550601, 122930, 477596, 769882, 706860, 694710, 609706, 708466, 294369, 317898, 547821, 307379, 55920, 67836, 140405, 792474, 157304, 938424, 3952, 589018, 528691, 348825, 591937, 510885, 587767, 723325, 506422, 491018, 891798, 219802, 957573, 258147, 719620, 576635, 606622, 654778, 256165, 577602, 796271, 668872, 858500, 537433, 259977, 19916, 366733, 527838, 854627, 323175, 695623, 794177, 605135, 819932, 217013, 195380, 925224, 799955, 758075, 834986, 68261, 444451, 88037, 438902, 74905, 64046, 118742, 624008, 149794, 202004, 118749, 922745, 1934, 557499, 104951, 632572, 424850, 125783, 550805, 983931, 175328, 256466, 699256, 38480, 724242, 706706, 771491, 241396, 625873, 495331, 46783, 81335, 118046, 217343, 870786, 88571, 630687, 430258, 523626, 17050, 876832, 214083, 57214, 481585, 546015, 693456, 659796, 934327, 988012, 219834, 6800, 336762, 619285, 500256, 6421, 802600, 206810, 579649, 989877, 879088, 366140, 361162, 202677, 74485, 715013, 575714, 789161, 844094, 842354, 324169, 814170, 65012, 947685, 196919, 742214, 129284, 61526, 215429, 411363, 24155, 940230, 784098, 779923, 930120, 348603, 752907, 144782, 528834, 256265, 375059, 711472, 625079, 3293, 556229, 722961, 966717, 416004, 617065, 5927, 902468, 475818, 682836, 208610, 742687, 766285, 910843, 150267, 427878, 678920, 189564, 936945, 549904, 825752, 738723, 874656, 806484, 230355, 724011, 737415, 169384, 651587, 933899, 104904, 122649, 934232, 369984, 731591, 577197, 808109, 570841, 169023, 141301, 278382, 547293, 289435, 1909, 921078, 401476, 696114, 326676, 560878, 116172, 790588, 374665, 381474, 328062, 810604, 396735, 588556, 965234, 18612, 873087, 640068, 538094, 368868, 848855, 776060, 115679, 949552, 709094, 602307, 952477, 832072, 373142, 661324, 936944, 432062, 175552, 871001, 310461, 406579, 690499, 503194, 356526, 921166, 574127, 586770, 193422, 389691, 825309, 625659, 667187, 952112, 690825, 772141, 37626, 393718, 741545, 832197, 811159, 345634, 248760, 206154, 210253, 172829, 162817, 536316, 698857, 849521, 910730, 467423, 107816, 811891, 734371, 726371, 525564, 88444, 621467, 678611, 663192, 985290, 666271, 868696, 294382, 233077, 708438, 102927, 963453, 823138, 838711, 72341, 299342, 768234, 963883, 131409, 731324, 117664, 472711, 413028, 349665, 698988, 685151, 251534, 907863, 105432, 169338, 208645, 734086, 735333, 7859, 95312, 524263, 561303, 238534, 409671, 694361, 408747, 803955, 263580, 296872, 72654, 127175, 149822, 564467, 778390, 39161, 974692 ]
990,008
[ 198001, 404554, 87023, 416780, 82914, 971496, 670565, 135478, 69617, 860916, 521565, 814508, 13569, 640709, 55635, 943684, 439825, 30900, 562613, 231972, 800683, 886930, 682779, 227875, 793689, 49359, 938629, 73569, 216462, 408925, 357686, 764944, 566720, 798561, 145279, 202324, 520660, 744434, 183522, 517686, 536651, 87653, 800203, 332025, 815340, 606604, 856625, 472010, 297249, 489528, 927216, 350234, 395069, 354250, 754678, 200614, 629420, 161279, 653020, 412508, 270056, 97746, 288680, 672960, 106985, 907771, 73964, 229182, 94800, 896350, 151731, 410372, 856985, 492160, 632117, 151403, 475620, 755771, 812526, 34119, 717282, 13553, 292572, 486977, 855706, 503574, 85431, 385991, 370306, 433908, 898905, 131684, 385511, 418964, 322198, 730979, 639840, 47754, 673769, 779153, 568671, 49118, 22620, 84771, 121838, 244341, 487531, 187826, 175126, 269352, 501822, 920352, 26825, 871731, 747405, 520745, 893202, 168697, 808034, 671340, 565850, 746038, 197354, 423149, 864668, 673288, 530233, 293208, 488410, 221917, 399682, 689418, 580601, 838076, 229484, 569040, 307331, 495785, 708084, 832679, 786233, 628872, 790575, 389526, 575308, 920650, 505310, 958185, 300647, 219582, 474130, 248865, 921476, 232304, 708144, 690750, 440087, 648201, 121035, 116298, 897924, 680567, 308158, 493312, 467061, 140265, 765266, 142113, 227436, 264922, 730767, 89722, 9727, 328262, 84242, 679424, 338703, 47468, 713002, 113829, 303377, 228352, 14642, 160408, 984418, 271637, 916305, 973710, 812358, 546169, 814150, 437093, 930640, 696984, 760207, 400334, 104531, 808773, 621912, 209821, 547157, 206349, 884193, 318850, 786151, 376420, 587939, 822126, 259517, 658630, 389722, 237375, 191217, 290532, 767592, 688353, 744302, 683873, 217986, 220070, 135016, 52271, 491795, 221869, 650421, 701649, 773963, 715521, 641823, 38242, 260885, 202274, 573331, 777183, 431980, 864409, 182914, 312859, 882822, 338815, 568664, 617369, 353962, 418417, 799626, 460372, 159250, 441074, 321544, 723248, 52918, 61197, 965101, 682734, 151817, 658583, 841622, 573936, 683197, 794552, 462527, 213321, 22404, 940883, 341439, 607755, 374247, 904249, 470027, 108046, 862197, 325656, 878692, 393116, 723676, 731320, 25358, 39943, 904634, 963869, 547790, 619087, 903975, 182772, 535552, 134100, 798710, 897143, 839568, 374842, 158577, 763286, 148839, 267999, 99763, 646181, 99301, 12205, 889839, 59643, 157282, 465772, 393582, 411072, 359380, 436335, 764845, 432299, 195640, 910766, 932098, 68969, 439131, 161680, 766003, 647696, 435424, 851099, 375951, 514207, 97784, 966453, 245874, 462467, 504948, 411064, 466912, 444132, 805962, 363455, 375164, 423590, 591079, 734701, 441652, 553296, 831438, 925057, 316976, 834251, 729445, 800332, 197282, 780775, 652813, 339063, 769970, 760475, 582772, 936888, 770504, 171271, 449835, 727518, 536622, 140085, 61314, 402753, 754148, 577485, 425944, 205332, 570316, 668002, 913194, 410817, 379181, 88214, 547594, 277064, 37139, 599892, 750372, 486822, 182938, 75968, 842073, 948787, 731293, 9400, 493656, 428327, 59950, 56161, 298574, 502306, 590015, 940467, 155696, 565017, 799692, 527210, 564447, 726362, 13512, 917958, 961637, 433206, 625871, 825843, 375550, 107697, 657157, 421085, 617665, 286125, 912570, 410908, 769540, 687089, 382568, 546143, 282250, 593684, 618548, 660160, 213540, 697259, 457526, 158354, 484039, 321977, 653761, 657925, 589548, 863059, 353189, 860578, 892480, 173933, 733366, 549800, 868344, 732547, 16947, 895309, 200782, 86860, 927625, 845711, 708491, 679089, 37509, 876610, 647095, 654753, 920353, 568637, 225895, 539010, 231717, 611768, 26246, 817091, 129157, 295458, 606928, 129534, 655361, 5424, 155835, 243585, 313509, 16908, 917424, 329524, 138348, 162657, 570714, 272771, 935600, 397071, 966726, 90295, 701898, 168779, 613418, 983299, 670100, 537037, 761427, 787018, 314371, 358446, 563198, 799548, 293008, 312552, 270099, 120324, 318935, 352467, 875600, 272212, 984892, 574749, 958959, 309579, 938086, 948388, 892343, 774494, 514010, 792530, 126201, 460511, 314203, 959602, 948023, 896208, 531616, 343997, 260358, 302536, 847870, 832671, 125954, 101236, 837687, 845381, 380941, 889867, 430907, 117556, 864861, 136348, 183612, 674497, 162544, 149294, 313632, 233005, 580574, 24082, 805214, 511427, 158269, 957653, 776633, 3136, 893907, 199919, 455855, 365420, 916283, 641987, 316959, 751759, 746045, 563645, 654715, 898837, 799357, 370739, 414587, 750763, 78447, 556243, 455995, 49641, 659448, 726634, 323319, 732808, 772926, 293903, 301682, 422610, 792888, 504430, 675903, 962338, 15043, 695203, 290855, 812070, 92453, 170059, 803946, 485661, 76446, 595941, 665928, 260380, 270949, 387181, 28795, 250138, 261375, 723150, 513939, 81856, 788444, 334671, 345972, 12600, 817052, 97482, 151921, 713667, 670984, 132336, 107494, 598254, 252159, 8645, 573635, 530315, 129883, 125583, 925769, 825494, 645838, 742420, 261760, 209881, 921682, 155161, 205440, 556864, 782354, 430428, 619689, 745764, 256980, 692745, 834781, 46762, 308381, 126274, 616178, 194990, 529242, 416766, 883697, 627940, 472551, 783285, 590539, 316112, 850292, 59889, 604172, 895433, 8056, 697697, 547626, 615257, 449935, 21806, 471037, 471532, 466440, 965665, 937261, 251541, 934305, 353867, 848157, 258159, 39355, 39250, 633787, 924775, 37425, 952887, 885455, 663183, 583540, 213840, 443556, 822123, 408526, 871972, 133845, 441540, 494496, 413640, 791093, 180977, 615497, 428471, 471429, 970899, 532577, 746423, 277330, 324838, 567975, 656264, 536836, 528185, 191711, 624261, 451086, 531501, 628363, 399060, 690621, 839020, 273854, 631253, 808464, 594482, 979327, 472823, 694086, 383172, 163236, 109357, 229345, 37951, 938087, 177663, 202604, 861127, 478047, 425720, 899096, 561815, 736118, 323966, 659303, 470876, 842998, 830441, 734380, 214767, 923711, 107764, 581990, 37648, 463477, 659785, 826460, 752092, 814679, 398031, 67447, 248289, 896126, 96102, 302944, 647167, 288016, 562123, 823950, 210183, 488818, 499825, 500854, 258062, 59903, 104835, 858188, 70082, 946351, 162026, 109736, 98722, 117905, 712894, 109607, 987808, 916767, 608920, 342452, 272690, 218757, 328565, 569469, 629251, 125349, 309373, 469006, 246997, 116934, 773916, 302999, 814950, 285972, 427850, 458176, 374619, 319703, 622555, 393705, 442202, 929221, 716951, 396023, 609528, 518473, 157875, 253098, 419795, 945745, 435823, 140216, 285927, 330533, 577828, 456625, 876323, 340661, 912144, 912843, 468468, 457108, 398074, 239215, 36171, 787798, 423820, 262248, 565647, 940409, 614431, 61699, 140532, 272479, 807501, 938123, 489035, 425582, 635072, 349043, 291886, 978974, 475640, 705048, 507648, 918527, 68138, 369151, 651921, 631968, 945908, 656026, 247716, 459017, 537798, 951610, 290724, 278569, 716942, 251236, 355295, 628657, 594637, 263652, 815107, 215460, 59036, 187689, 737570, 300692, 672384, 194913, 765439, 123060, 482949, 519742, 52437, 101119, 438538, 765472, 519033, 654480, 648183, 351772, 363055, 97907, 168363, 977231, 108497, 663454, 582833, 512220, 433378, 112566, 905361, 279276, 146117, 622225, 584473, 800968, 664393, 560725, 555367, 586889, 513713, 286003, 493097, 324041, 783322, 958408, 694655, 770369, 421826, 545553, 362006, 681446, 787332, 422861, 77395, 405044, 50093, 192314, 726593, 173283, 634806, 584428, 129814, 74495, 835564, 321130, 716973, 52965, 864432, 734266, 847968, 799353, 923766, 804733, 908424, 987885, 518911, 63300, 19053, 44506, 222162, 381766, 623870, 493666, 278168, 248888, 597404, 424738, 364697, 87782, 967628, 787530, 270291, 585865, 100826, 928327, 541388, 101203, 364061, 106554, 254005, 351316, 840686, 419919, 878051, 119303, 765883, 225911, 750418, 427665, 341017, 425697, 773600, 321656, 582456, 264975, 896359, 209264, 785232, 616022, 682795, 492930, 834443, 776580, 630127, 164185, 323086, 887881, 575994, 779396, 619554, 613369, 518222, 502349, 717962, 334021, 82571, 831489, 131285, 725146, 452165, 939700, 289082, 646732, 88492, 904683, 366990, 249309, 469039 ]
990,009
[ 361721, 308788, 191845, 743021, 130483, 625518, 403247, 218918, 248609, 719787, 671764, 271363, 446359, 398474, 701980, 953484, 605854, 156001, 22679, 447821, 969966, 696354, 788769, 75206, 795716, 169312, 293000, 710227, 31673, 345991, 166634, 50845, 395135, 335065, 759434, 395211, 929118, 309571, 801853, 979875, 772829, 874922, 986963, 150683, 962975, 422718, 211651, 908243, 552928, 40872, 944964, 702287, 164252, 137630, 165662, 693641, 298973, 546405, 863060, 70214, 479645, 268757, 56642, 346147, 879950, 349051, 494123, 618132, 49647, 49079, 912507, 348042, 448803, 435091, 123123, 159505, 520843, 266811, 238874, 245340, 164228, 668708, 756282, 869759, 202727, 777365, 166885, 501550, 264430, 936013, 2383, 262889, 359418, 201283, 608220, 219158, 941123, 311133, 558689, 422286, 757200, 763561, 369167, 876848, 980875, 390471, 315236, 69691, 818925, 958775, 786590, 689362, 731532, 121988, 355222, 479294, 864787, 522869, 734420, 188191, 884301, 597303, 374290, 447617, 495248, 647102, 95737, 417377, 758125, 433355, 745280, 679423, 227299, 683594, 229954, 167430, 875245, 163203, 244628, 133047, 101278, 666554, 131609, 609106, 48851, 185250, 964906, 431097, 576265, 72265, 176179, 519953, 553249, 546585, 849332, 271282, 18241, 221448, 173185, 773866, 436955, 557366, 442113, 958737, 76015, 217262, 151890, 198447, 85881, 899983, 34363, 783446, 381392, 975143, 92598, 282837, 96524, 745647, 597292, 393362, 758591, 807358, 551708, 309511, 451870, 574302, 183881, 637901, 946998, 223696, 568508, 470445, 734733, 318725, 882715, 775238, 692870, 277562, 688462, 431731, 765413, 12672, 177067, 648309, 754802, 475273, 438798, 641057, 877004, 657562, 43208, 9480, 14342, 502919, 380360, 954162, 772655, 382373, 204691, 172631, 843560, 328168, 735268, 180834, 43602, 875513, 509684, 164425, 412658, 492098, 86346, 915525, 352057, 136631, 647509, 404886, 946574, 62710, 374645, 475572, 985016, 14114, 408877, 638452, 163815, 641699, 669467, 571969, 849791, 202858, 988633, 83184, 865463, 881108, 731564, 960076, 21218, 256907, 346720, 692610, 208757, 637559, 309716, 582406, 897112, 307069, 449091, 270118, 1371, 868248, 53507, 261577, 936615, 839532, 38175, 808550, 660061, 283251, 732541, 807505, 180169, 858076, 614712, 207638, 484709, 376029, 301740, 250669, 839173, 312088, 453687, 948134, 297462, 866986, 483717, 730340, 799266, 666351, 801711, 976459, 789338, 526330, 740276, 236954, 916917, 362710, 385955, 709344, 250287, 295890, 147870, 134600, 235925, 290431, 128911, 899534, 666961, 319139, 589091, 83289, 190292, 324502, 46402, 205504, 392721, 588498, 578095, 696045, 861262, 199430, 494632, 475629, 510955, 374076, 711477, 575633, 217968, 199606, 40465, 101596, 939579, 98400, 798527, 590708, 598392, 820190, 538201, 594136, 979462, 3847, 320501, 492482, 712680, 774804, 240370, 733639, 642962, 142339, 590685, 123713, 978144, 478060, 308489, 414626, 2878, 245816, 890569, 475818, 973170, 755063, 180807, 754116, 379026, 264933, 948310, 492515, 151453, 321436, 942319, 985482, 315974, 826041, 395689, 480186, 862061, 509938, 383533, 543627, 363672, 709916, 988059, 513715, 930921, 502925, 228667, 800034, 605997, 575149, 555724, 663823, 583796, 121377, 386507, 368592, 174642, 648539, 973224, 823119, 56454, 307118, 174403, 123882, 925473, 540634, 936439, 507365, 765254, 955107, 573402, 250332, 362906, 859708, 692716, 950347, 939367, 91454, 1768, 49171, 513071, 326415, 604014, 169286, 847910, 626099, 723544, 19709, 339543, 391513, 981130, 623063, 822169, 497789, 315472, 522411, 900917, 614657, 353062, 772804, 283451, 650818, 578795, 577534, 621189, 198640, 665747, 540251, 67161, 448890, 333078, 324394, 380049, 849336, 243547, 433339, 877294, 692529, 309545, 762733, 883354, 883099, 471132, 453541, 230874, 444988, 818578, 479454, 492506, 465758, 279176, 634462, 24388, 6619, 60844, 630684, 23717, 823249, 702375, 113105, 608750, 973250, 456704, 330319, 653783, 16453, 700873, 103955, 31336, 191446, 17778, 142205, 637009, 705288, 745208, 328574, 595993, 441840, 85423, 609493, 636366, 886396, 302240, 167958, 566172, 220597, 356498, 417592, 599114, 594041, 601169, 190301, 443977, 437873, 928682, 674941, 48629, 748033, 711050, 240039, 502327, 805719, 114585, 396577, 893241, 895166, 613144, 382806, 711968, 366461, 863047, 190081, 189709, 20342, 444712, 481653, 57762, 631636, 237827, 100873, 123687, 716228, 135728, 392384, 65321, 691305, 92838, 354522, 582565, 906355, 476511, 970403, 243028, 711449, 378035, 568296, 691756, 297420, 458544, 284557, 855297, 272487, 582033, 743607, 267779, 231790, 718403, 609570, 634927, 29901, 218469, 340910, 29699, 703013, 154052, 201663, 367713, 352822, 225061, 856726, 94232, 705325, 69114, 249085, 566759, 847801, 355514, 400467, 959742, 799397, 926380, 385762, 729783, 392117, 95487, 888423, 556091, 428593, 697570, 131669, 833412, 664421, 860519, 187749, 1853, 203239, 361490, 105575, 606114, 66851, 968053, 260564, 577221, 894002, 8752, 741417, 362880, 87778, 936326, 431866, 726457, 774639, 498548, 537622, 266087, 382856, 668339, 756070, 590682, 984503, 545574, 186169, 602960, 470732, 601663, 587385, 189328, 793512, 460690, 258531, 190590, 137708, 112638, 481924, 752718, 629819, 198392, 178266, 20871, 168277, 119419, 734895, 182235, 833058, 405727, 281351, 274056, 903368, 83699, 516850, 928138, 790952, 272540, 168081, 99194, 186196, 96326, 699144, 567608, 281558, 538514, 583004, 543554, 902909, 570224, 97688, 28735, 286688, 565352, 158322, 676882, 796775, 787737, 957390, 473163, 813644, 552939, 742245, 812172, 793058, 249529, 706749, 903300, 727410, 431165, 832568, 839706, 308944, 804607, 772908, 611589, 979854, 226469, 963593, 865073, 744053, 854993, 562815, 115998, 3387, 73213, 392809, 737362, 121798, 964601, 418635, 763606, 621051, 686456, 875656, 970614, 843800, 955364, 975165, 328959, 616865, 924399, 261258, 365083, 799048, 858422, 542286, 560260, 842978, 423910, 837611, 140475, 265808, 484147, 3783, 279829, 399347, 854270, 900239, 307839, 302935, 696608, 18192, 189791, 645048, 988834, 48410, 272960, 20850, 674139, 257620, 107353, 560803, 838389, 939273, 674027, 589856, 761189, 945, 271938, 895369, 244964, 409103, 196027, 944400, 750540, 900958, 145320, 216145, 810821, 81529, 522812, 973606, 652674, 760377, 848835, 103258, 785676, 441583, 287346, 12820, 20418, 921381, 590758, 160039, 615811, 927228, 194796, 344431, 533452, 430609, 502054, 889423, 267091, 635111, 240990, 82643, 951034, 170964, 207784, 337024, 897456, 421330, 257529, 358353, 607182, 109190, 702418, 568100, 956592, 395479, 450714, 585421, 183507, 447759, 522752, 479462, 385387, 684053, 397461, 442843, 215046, 833051, 774038, 80209, 957439, 496078, 392744, 109758, 494042, 682115, 533163, 482465, 925714, 269010, 466626, 329211, 13373, 987053, 321988, 318434, 810666, 594331, 220031, 708450, 961504, 224102, 26338, 748517, 73090, 46424, 314213, 241782, 166078, 464483, 504385, 381455, 899397, 111517, 499140, 347083, 546163, 241262, 467209, 247077, 62065, 463132, 978961, 413532, 735341, 89665, 372298, 889938, 687338, 740797, 802633, 879725, 655015, 985106, 849575, 466949, 937915, 148339, 281007, 44361, 377818, 720439, 586134, 212153, 326667, 820768, 138410, 915955, 642369, 489295, 979902, 488201, 294330, 917283, 801964, 648546, 129845, 168212, 19413, 945034, 327747, 942103, 739573, 438976, 766762, 480610, 978544, 172275, 10921, 738090, 696968, 810827, 652400, 258541, 602389, 690035, 911828, 242266, 314686, 280524, 466187, 19330, 540147, 876082, 335851, 451458, 768881, 259412, 133440, 462887, 661142, 615466, 86254, 929168, 848649, 732966, 380368, 649436, 720383, 136998, 40828, 358529, 936015, 524590, 381011, 456687, 378711, 303040, 907098, 582864, 143257, 574618, 434779, 680809, 582890, 398627, 853333, 497965, 259117, 739116, 822011, 638475, 216056, 147399, 439336, 129138, 184886, 340870, 770499, 767165, 480831, 429672, 843593, 136000, 857279, 112646, 828852, 933730, 988598, 735541, 359013, 599999 ]
990,010
[ 289006, 451726, 361778, 289641, 778345, 946059, 88942, 849598, 14844, 273478, 907623, 583455, 134752, 863587, 584338, 196736, 468583, 169422, 31723, 407928, 158016, 335174, 506910, 506858, 591851, 90957, 421846, 459051, 64847, 132180, 157011, 466708, 60466, 493688, 389327, 854450, 909359, 726315, 62169, 871797, 510274, 949220, 339714, 370556, 800177, 955421, 566236, 621407, 689001, 281926, 437554, 687407, 559154, 944438, 266135, 412298, 461256, 824567, 982975, 767334, 104948, 805430, 947549, 7789, 244036, 457433, 905910, 630896, 322464, 291007, 144166, 944973, 320504, 797854, 877303, 581848, 659954, 985863, 120036, 389851, 406829, 628700, 307206, 633814, 780068, 914967, 605948, 348157, 235126, 448597, 836995, 686294, 515104, 115268, 813219, 172942, 9354, 397706, 836896, 759313, 773809, 941730, 709380, 426584, 613567, 928908, 365071, 646510, 738251, 540185, 489622, 172303, 875544, 737171, 146671, 680979, 348774, 67081, 60635, 527303, 372637, 137484, 633835, 879682, 860958, 5254, 976726, 159334, 423226, 898825, 980940, 746319, 110223, 184772, 914170, 103749, 835928, 474211, 498662, 189225, 678121, 195571, 531704, 528640, 868412, 68856, 290183, 765701, 825789, 313567, 924212, 109634, 242768, 601861, 723625, 923876, 597474, 858505, 748389, 578242, 8475, 19266, 402210, 537457, 947221, 829608, 501923, 399498, 845904, 890502, 191061, 466435, 743876, 379853, 501376, 476497, 895295, 729111, 821032, 328192, 730443, 403080, 258752, 611210, 945597, 710958, 340045, 672924, 870971, 765551, 646537, 579775, 201928, 478183, 173599, 655571, 281250, 552030, 517663, 357181, 162548, 501208, 842505, 168587, 760114, 374144, 702935, 198807, 756103, 768788, 137832, 64180, 717613, 911145, 357159, 12432, 515549, 210748, 283253, 298875, 236388, 192643, 339186, 573416, 53276, 802289, 437145, 879887, 617431, 56866, 353263, 92432, 276818, 591757, 638875, 890392, 302386, 45298, 380871, 815949, 760038, 368132, 14446, 619476, 79901, 309291, 721576, 583430, 208408, 475063, 337220, 515790, 328893, 733570, 389612, 691781, 557248, 479519, 809265, 841043, 815879, 851539, 406524, 388452, 902962, 245850, 339163, 578267, 220535, 443855, 232828, 724248, 536458, 3921, 983194, 476598, 926487, 139700, 122682, 454513, 381962, 58392, 36245, 383861, 832192, 890762, 700233, 212377, 883373, 793371, 602130, 880438, 989741, 379935, 799466, 792331, 511506, 658553, 919072, 624763, 387209, 417959, 434251, 156328, 285889, 207006, 551765, 524838, 656209, 424557, 814732, 914134, 108387, 71395, 946929, 660632, 274188, 951490, 620164, 137631, 338157, 348216, 7461, 109351, 929980, 574481, 748127, 723490, 855459, 562445, 176820, 98691, 690524, 540062, 931436, 298069, 673001, 433732, 356299, 74030, 756929, 520507, 180202, 338488, 668112, 259993, 444177, 635911, 709361, 454397, 34777, 833458, 563250, 922918, 399815, 524614, 205158, 619077, 263148, 331316, 752055, 26511, 728918, 548697, 906601, 534478, 762470, 361466, 849017, 813189, 22694, 830863, 27069, 745892, 822109, 286784, 183476, 734210, 675723, 400982, 131651, 61920, 911571, 294564, 794304, 487897, 682600, 291516, 283878, 818098, 771859, 831079, 983537, 568473, 363826, 891766, 394841, 642656, 208315, 555940, 340694, 759256, 318583, 139552, 886604, 266331, 384238, 580310, 200089, 749703, 347376, 94169, 319151, 571962, 333304, 924905, 885143, 2922, 432649, 845763, 730239, 138015, 250934, 118090, 878457, 158583, 802188, 849391, 369687, 230411, 388031, 708311, 811348, 829043, 539401, 168583, 227744, 318537, 887530, 168573, 209080, 848497, 247855, 781912, 68340, 316564, 696957, 664879, 487115, 594146, 980187, 949012, 265796, 983777, 797196, 648052, 697148, 389498, 837812, 745111, 531683, 536407, 513691, 397035, 455127, 976787, 268971, 188923, 386279, 86457, 940931, 385617, 434977, 639752, 358628, 941936, 824296, 635339, 475953, 166382, 90485, 580925, 981083, 155748, 852401, 198850, 882146, 43583, 977912, 157359, 71218, 700880, 19592, 219870, 74453, 60353, 254211, 658195, 2837, 751660, 398757, 321456, 639503, 570952, 136951, 591182, 284757, 531114, 652013, 544386, 879411, 230843, 279041, 737042, 770677, 676976, 401468, 137172, 387721, 248898, 764659, 757959, 706723, 285830, 456009, 914178, 326757, 324008, 181391, 453846, 267662, 599144, 298056, 623057, 292316, 713941, 535385, 423715, 280571, 728424, 517172, 109817, 286463, 806707, 143622, 150327, 443973, 563931, 104476, 89937, 686312, 139540, 986413, 650044, 658518, 511786, 720036, 250062, 503690, 23556, 481844, 489733, 14715, 311065, 958906, 605961, 868361, 650049, 385694, 944356, 147109, 766605, 164096, 374952, 925108, 246786, 250770, 533451, 654249, 503868, 591814, 378280, 786750, 401255, 149749, 742092, 628954, 166616, 429311, 660011, 716105, 781291, 882935, 130669, 412172, 117790, 837994, 791052, 218964, 868235, 978547, 892213, 40806, 415602, 73169, 709115, 818892, 485797, 753265, 323848, 213259, 302747, 518150, 805722, 129800, 790234, 786995, 696727, 600298, 92099, 957830, 104071, 569790, 598971, 429352, 142111, 433269, 284907, 508651, 216067, 859327, 473697, 496474, 126010, 762368, 442411, 486284, 526214, 79383, 912319, 354357, 941375, 218928, 879109, 728841, 862397, 717851, 846204, 400045, 657981, 518259, 781614, 440684, 118084, 514148, 347840, 518958, 727742, 370658, 917281, 886340, 111698, 973986, 520570, 517003, 805856, 722407, 767338, 97089, 723361, 283743, 978786, 326167, 806547, 315078, 366521, 935884, 686043, 503971, 284029, 122620, 974942, 506115, 615920, 359846, 942808, 455181, 766816, 294146, 688662, 728050, 294903, 523879, 71148, 973446, 665445, 436449, 84779, 321358, 283769, 29244, 765295, 621469, 538963, 271151, 917102, 471393, 951727, 885981, 950526, 912782, 697398, 150135, 730791, 363457, 567787, 283149, 2547, 77482, 874392, 810042, 779994, 172264, 370801, 761414, 532301, 214618, 472408, 118118, 323057, 877368, 538462, 717913, 786208, 888506, 648844, 948713, 756365, 850539, 836240, 837778, 777106, 846718, 536325, 882877, 38052, 477349, 412504, 358967, 844612, 669584, 148647, 778464, 582667, 653477, 2429, 371565, 689078, 313890, 187603, 547545, 221408, 957702, 687448, 256393, 859992, 981157, 878236, 969552, 330750, 526407, 297045, 855880, 908309, 681690, 180509, 1449, 16463, 10825, 334651, 506258, 546313, 908095, 454834, 273320, 420779, 628299, 692358, 550059, 624126, 865688, 658668, 184537, 29959, 296372, 138616, 749613, 156912, 656848, 899425, 605863, 717329, 966852, 777943, 56743, 415929, 717127, 142228, 701255, 951251, 115572, 46591, 699973, 909505, 585997, 258416, 333647, 665119, 811294, 414080, 391192, 300189, 177543, 481830, 110034, 392949, 447522, 410654, 917329, 710436, 210485, 719411, 211724, 898943, 637062, 604437, 861635, 411387, 536055, 591667, 186631, 75124, 864089, 895013, 446787, 261239, 723909, 614330, 304788, 817651, 423617, 794495, 963912, 83673, 138704, 637838, 274087, 638758, 282245, 104916, 46371, 975503, 693934, 274229, 517749, 927615, 774922, 603049, 82520, 14193, 749248, 821445, 855066, 251064, 665420, 812805, 562555, 30076, 573593, 818724, 806508, 201655, 860115, 472007, 985732, 497067, 125852, 320340, 751641, 162299, 33718, 199409, 790522, 836424, 629050, 383241, 471633, 644964, 485111, 124080, 859394, 941940, 573136, 471766, 170475, 864872, 282792, 611839, 568015, 311203, 749917, 276153, 211443, 405370, 672798, 374634, 74217, 77089, 208544, 351527, 146918, 93318, 90643, 466470, 908303, 507012, 798721, 208736, 202097, 895507, 63372, 485328, 468239, 199530, 521210, 739089, 601094, 532384, 138584, 107123, 944155, 924790, 415543, 908383, 395602, 490257, 521553, 22060, 441215, 322943, 623320, 386716, 686645, 323482, 299689, 961049, 736804, 176092, 939637, 967812, 815951, 333261, 664031, 861698, 208694, 297400, 443771, 135907, 248649, 138569, 3673, 860755, 301862, 975790, 37682, 158060, 218642, 960255, 273442, 77360, 358864, 564378, 82751, 81168, 859128, 759958, 707554, 345141, 821979, 67961, 518535, 33047, 458964, 949946, 493528, 593244, 753961, 352940, 725274, 895191 ]
990,011
[ 347918, 57108, 971665, 751920, 426351, 152839, 37418, 435493, 92784, 802065, 285608, 133490, 80937, 567660, 321785, 205969, 195674, 621251, 549960, 460067, 407961, 337, 755003, 806840, 818924, 253581, 446196, 790720, 968357, 318032, 115162, 65947, 357760, 460459, 583027, 587422, 450780, 724967, 826346, 98500, 883491, 835832, 790250, 366479, 295257, 38708, 128628, 292177, 104398, 371167, 647057, 198102, 692048, 460609, 731854, 67170, 319780, 983232, 664313, 735524, 433754, 892268, 924894, 670832, 543573, 609778, 62171, 51496, 606615, 746816, 449167, 969482, 588922, 966737, 944075, 820626, 420341, 504484, 329172, 333533, 673271, 831249, 209824, 760162, 504726, 307468, 473267, 401311, 615594, 176047, 470190, 986038, 198598, 639671, 918281, 734949, 509506, 103427, 53292, 132387, 547844, 725742, 736144, 878160, 637213, 746301, 347795, 116583, 787022, 853303, 210356, 42798, 357291, 634560, 912515, 711756, 298577, 917179, 772630, 829458, 733923, 883826, 367179, 962536, 804908, 761776, 645732, 872819, 52304, 328450, 678898, 947686, 48825, 197361, 276864, 430832, 761395, 804421, 279771, 778651, 112303, 739173, 181193, 547580, 527511, 567614, 65296, 358152, 466602, 359703, 631813, 544681, 487321, 96358, 825275, 954694, 845423, 491435, 382440, 57542, 219748, 407110, 125019, 714173, 730350, 735266, 445514, 931778, 8835, 155874, 615344, 756719, 844487, 534390, 637746, 70974, 533951, 418960, 631793, 142524, 865750, 764770, 901192, 196751, 791305, 413871, 978274, 567976, 333801, 579916, 245472, 513597, 628756, 367669, 268592, 171943, 938452, 52070, 961973, 203893, 189986, 167732, 237402, 547649, 140590, 57488, 180474, 855698, 112037, 189815, 242675, 863249, 679562, 653531, 397718, 494910, 47126, 834661, 48144, 522335, 369476, 106017, 267418, 452292, 931677, 545424, 778928, 860255, 456506, 582635, 95208, 465488, 751682, 869825, 436403, 783460, 247256, 752560, 283788, 712974, 660540, 751183, 624111, 984158, 632365, 198133, 923374, 651915, 960106, 308691, 35726, 591697, 31050, 969186, 623994, 88077, 868103, 708864, 392706, 86741, 88110, 889877, 728145, 731625, 668503, 401723, 529350, 754591, 905203, 214731, 868569, 715256, 37551, 50826, 698004, 149437, 56505, 377451, 633062, 965948, 11049, 532307, 81774, 127108, 421734, 525902, 712313, 822358, 278305, 137714, 923075, 960147, 676980, 337013, 517138, 168465, 189260, 558268, 213753, 407627, 971190, 317497, 259424, 648683, 166260, 247211, 487249, 420488, 289288, 27578, 375900, 444610, 921795, 972786, 160036, 665700, 99508, 18009, 477925, 521110, 790183, 676300, 89024, 43288, 984770, 441957, 68209, 946332, 811877, 512785, 252660, 219495, 621528, 982620, 206232, 170791, 152259, 309194, 142374, 257111, 817186, 262198, 120764, 934196, 912638, 504727, 685112, 372472, 639259, 639620, 605406, 396275, 229010, 900165, 307053, 118914, 834116, 791788, 626846, 452802, 50560, 40979, 639866, 470799, 424365, 579408, 330781, 593452, 252665, 935407, 744860, 886109, 603469, 886558, 12269, 866246, 835176, 363031, 489755, 456275, 464026, 627026, 142282, 926706, 282383, 904254, 434548, 47496, 107806, 743522, 89848, 228706, 356874, 986250, 465598, 116235, 923914, 949418, 468503, 785130, 402595, 13934, 776975, 796517, 461699, 580023, 331799, 773415, 977453, 298492, 668090, 384411, 477601, 906504, 553202, 771295, 560538, 874849, 752963, 382205, 777033, 977441, 832909, 717456, 228146, 644908, 257742, 92308, 647638, 572859, 329028, 316613, 264041, 226205, 33135, 351859, 23921, 890250, 530917, 336952, 962411, 267973, 245040, 851897, 516762, 596351, 651394, 735882, 455253, 795021, 979415, 312815, 207816, 112121, 518760, 524521, 469817, 576398, 557825, 857175, 840282, 391659, 193687, 132243, 702194, 882620, 695596, 475130, 898762, 817093, 193855, 253923, 693100, 846163, 899974, 710120, 752481, 719470, 425248, 933653, 320815, 621702, 650362, 306050, 676371, 233431, 281885, 79424, 809133, 131573, 290804, 463134, 683369, 293985, 854967, 757384, 834963, 751340, 339759, 629537, 318343, 788200, 210112, 831035, 575882, 774725, 469396, 551497, 100537, 284219, 522483, 785117, 659736, 958174, 896545, 463470, 501647, 534236, 282610, 393994, 199827, 320149, 777198, 734612, 973512, 41690, 677542, 528019, 549864, 349782, 971890, 587469, 851082, 834120, 540843, 143488, 149647, 33869, 122814, 186168, 720333, 67800, 678558, 495729, 8213, 644820, 613347, 646296, 803139, 701873, 173464, 776044, 252696, 452951, 510180, 786858, 179706, 123482, 355918, 48380, 556240, 403015, 807016, 316329, 575083, 180581, 658546, 501324, 695950, 595412, 159472, 762975, 105277, 649514, 482313, 499476, 808257, 682484, 660438, 333461, 606337, 50605, 337245, 242231, 615169, 755334, 148849, 786700, 160261, 605753, 897258, 180946, 356014, 556960, 338354, 705634, 159704, 172553, 132146, 290604, 323297, 587819, 620149, 832740, 184644, 24493, 777085, 981500, 617858, 38997, 404802, 879619, 674231, 167586, 544517, 930359, 5942, 40477, 645914, 194849, 827277, 77114, 215379, 292520, 31757, 40695, 942991, 253502, 506823, 198946, 794758, 583906, 655698, 363198, 122893, 702894, 332731, 421744, 644331, 966796, 201598, 663273, 427629, 322938, 805980, 166441, 908079, 872223, 652862, 470222, 113920, 458713, 975254, 58588, 177359, 620091, 859318, 146124, 833077, 838351, 684427, 260481, 896219, 818110, 674304, 104551, 72227, 76883, 410520, 732122, 789192, 771407, 662636, 331757, 542712, 930966, 305671, 909883, 250251, 461095, 637383, 486329, 428898, 256677, 349982, 574864, 472279, 788331, 732201, 786457, 10682, 288725, 761664, 953329, 435535, 293823, 902329, 833992, 479466, 250142, 550866, 222461, 666352, 378760, 192720, 817669, 481850, 60810, 717140, 580263, 790271, 336514, 65438, 567784, 918251, 645865, 715018, 265175, 672238, 58924, 595128, 132124, 236130, 799162, 21027, 156947, 961276, 309706, 469936, 380525, 306897, 741915, 113922, 731930, 323186, 206779, 104194, 708516, 809814, 776183, 895946, 258363, 423306, 279577, 684540, 276373, 433537, 802722, 626797, 738022, 164777, 946317, 504927, 551591, 689566, 877491, 802583, 249806, 961339, 308959, 429919, 510395, 792751, 344217, 622711, 17371, 87434, 104582, 979294, 630867, 700759, 218612, 351274, 417102, 951263, 118586, 567230, 507410, 754059, 884125, 87036, 804868, 540087, 884999, 617830, 362484, 9826, 222065, 347140, 36202, 629021, 459790, 37668, 383032, 104115, 989889, 949288, 129683, 401025, 58858, 642429, 305584, 694727, 842186, 337488, 250615, 893457, 100068, 391916, 180429, 275472, 415147, 961161, 497899, 524967, 156735, 451785, 645201, 408398, 676734, 458219, 356737, 752840, 770157, 407656, 85027, 518595, 934789, 625608, 47733, 652325, 72486, 518034, 89592, 972977, 492419, 195730, 373072, 108044, 523377, 281348, 657049, 147120, 360455, 795100, 397643, 77381, 652307, 369739, 628108, 67234, 464924, 206835, 423036, 191274, 896547, 240156, 125850, 689903, 174624, 339938, 442575, 615812, 647121, 882716, 817218, 176959, 907892, 802902, 313868, 955085, 350365, 958503, 357024, 175004, 44284, 109807, 234804, 857121, 400703, 867574, 631658, 570005, 216097, 491538, 171947, 973150, 729820, 859919, 459117, 919946, 255926, 356975, 736789, 622918, 732629, 328930, 482137, 682290, 760843, 163790, 969009, 664295, 859280, 631338, 537620, 355652, 715444, 81846, 779730, 238668, 662821, 520628, 519101, 73411, 496880, 602006, 575490, 845518, 93964, 727974, 621635, 224988, 698656, 896333, 220309, 129933, 516486, 713293, 100333, 477995, 326060, 972100, 522183, 623088, 198277, 738460, 903859, 310558, 385629, 601288, 168065, 261185, 17282, 127862, 199334, 624689, 790344, 752867, 322868, 3695, 475459, 539366, 475, 639083, 717893, 304963, 272942, 359607, 530987, 81489, 743648, 923173, 51438, 649081, 501351, 74271, 589260, 298957, 308523, 421858, 681654, 286739, 680839, 643768, 573989, 607773, 73213, 406205, 730965, 789937, 980362, 154545, 904162, 315513, 902265, 686743, 666720, 424179, 541991, 869501, 31377, 850968, 868470, 290194, 862268, 403488, 786120, 716676, 581752 ]
990,012
[ 748429, 169106, 477186, 125077, 270144, 950389, 855525, 173073, 141577, 464982, 290277, 945206, 80495, 80411, 898309, 849743, 442871, 294544, 359387, 467612, 498189, 886132, 579153, 435495, 373622, 628415, 128620, 467953, 607484, 615822, 789177, 828900, 289412, 49342, 402047, 187773, 946340, 912829, 446752, 507023, 126532, 63368, 667631, 884597, 868954, 158755, 63038, 834312, 350114, 395659, 718061, 109844, 930859, 802898, 171444, 660808, 529934, 818109, 252841, 605852, 304958, 706382, 232933, 86697, 165401, 722745, 589803, 846370, 327138, 797410, 803128, 20072, 570858, 161373, 789217, 936489, 66978, 67283, 260731, 350622, 9415, 79972, 681603, 985292, 345350, 50103, 46118, 789579, 337530, 451451, 943727, 324969, 933960, 211790, 484701, 65914, 853284, 431118, 399205, 687653, 185554, 737520, 687140, 382379, 469338, 617853, 726852, 442441, 923913, 351906, 898401, 287180, 579294, 79097, 391284, 615759, 691775, 680909, 658524, 748133, 229588, 799681, 901425, 633535, 502877, 204162, 941626, 796284, 245506, 26524, 511990, 199028, 75313, 86096, 794155, 832134, 457594, 845686, 521462, 251573, 903249, 111586, 851564, 278648, 451147, 677687, 925084, 352915, 106693, 984732, 76929, 338294, 392983, 854534, 386047, 34460, 672985, 420921, 948585, 436765, 153802, 237967, 8515, 48178, 701401, 448252, 550575, 556220, 282173, 821876, 262649, 986764, 55625, 817565, 442605, 852518, 646596, 462370, 100526, 391530, 51273, 668240, 582526, 892586, 808054, 216752, 37400, 30295, 686333, 526993, 561517, 699861, 873008, 564109, 603531, 537870, 226039, 770467, 40057, 675542, 949520, 49041, 900623, 743262, 347753, 498680, 478982, 201962, 557690, 576442, 87952, 523544, 204511, 90624, 263044, 365172, 887677, 758703, 918001, 91014, 224751, 918120, 827296, 295250, 22032, 609477, 466460, 33189, 491437, 768649, 429350, 725514, 959529, 445530, 903816, 101851, 263419, 59799, 457508, 751213, 549084, 184470, 370195, 667711, 191250, 839736, 533214, 508350, 579018, 847743, 887590, 2034, 127826, 932110, 942643, 349395, 773533, 53023, 4559, 421657, 744215, 399321, 135793, 443065, 571721, 12597, 468531, 739694, 599591, 574255, 87633, 236344, 707379, 897031, 920625, 51320, 692046, 538582, 983999, 432048, 670278, 444597, 255723, 208751, 705897, 828688, 528258, 215748, 264724, 969906, 129755, 390108, 304043, 213318, 339295, 671753, 17110, 56748, 567416, 530900, 922991, 240879, 601960, 25285, 596336, 173862, 535616, 856000, 858120, 918197, 125750, 274039, 108027, 427379, 876134, 221258, 304606, 761480, 280688, 382208, 501241, 819276, 970217, 539353, 506465, 225846, 98533, 90133, 527948, 771679, 879432, 836991, 902825, 429098, 630711, 885903, 71543, 55448, 312541, 592402, 343210, 807535, 165054, 590612, 565677, 574229, 687136, 697768, 627913, 389234, 900521, 564564, 183956, 673612, 745507, 476024, 581276, 335439, 48886, 837534, 555069, 354602, 536995, 369764, 529763, 190854, 310675, 707178, 358037, 698702, 629032, 163180, 200346, 540909, 433174, 894732, 938372, 465592, 719884, 965230, 844718, 382370, 387537, 3116, 440662, 763349, 733730, 266584, 792702, 442215, 533840, 705097, 22807, 712063, 548241, 760849, 411019, 472750, 163847, 452634, 268363, 670, 296008, 79293, 147911, 9606, 240269, 725732, 569839, 232738, 179091, 481935, 319790, 56673, 134771, 764913, 886893, 405084, 50328, 622804, 76852, 920043, 617089, 25314, 534499, 819113, 617098, 335789, 648882, 595554, 716647, 319338, 177919, 545050, 943068, 345646, 126476, 709310, 587195, 515432, 233693, 342029, 225997, 292079, 38355, 686433, 153663, 325786, 688109, 205649, 546839, 955539, 402090, 289333, 924145, 944982, 445960, 973320, 832789, 966624, 574996, 14376, 182159, 489930, 132796, 201903, 88667, 723012, 714464, 802535, 854379, 638369, 833979, 981374, 509491, 182185, 345641, 812136, 469687, 977529, 162920, 709472, 384234, 654996, 31531, 559741, 675865, 947377, 377721, 414410, 466248, 326588, 476304, 278016, 427715, 403456, 180465, 687385, 604765, 504516, 378686, 503460, 974809, 147052, 193034, 931748, 414615, 357655, 186195, 457579, 984557, 845347, 817395, 686860, 694536, 59447, 176132, 896191, 515798, 127688, 310722, 836523, 89214, 554074, 525813, 745214, 303776, 845265, 606428, 481120, 761376, 424445, 959978, 852487, 673297, 88893, 490488, 852152, 896285, 657119, 825367, 66507, 201399, 727466, 620387, 645605, 656255, 711011, 726867, 31885, 388610, 292844, 3685, 905481, 107961, 820870, 200576, 170106, 619721, 201719, 777929, 229376, 846757, 232089, 787325, 922496, 12793, 703769, 931373, 186886, 894925, 229125, 965823, 473235, 823161, 365701, 105343, 380944, 366459, 733432, 927882, 308235, 669074, 910643, 745845, 214344, 391152, 555706, 465530, 78434, 451640, 289614, 15864, 193191, 510294, 39665, 99751, 525398, 469640, 743979, 583486, 379609, 546156, 335846, 25151, 302876, 734771, 986650, 873662, 924444, 940385, 893214, 255511, 631161, 389597, 538794, 842331, 119232, 771586, 912511, 12590, 971827, 484486, 652976, 227743, 25205, 826265, 112939, 698219, 385450, 206580, 180994, 86516, 843960, 269337, 841820, 140120, 57396, 387412, 520416, 942372, 784626, 322890, 969733, 210755, 627337, 177880, 719408, 172320, 830731, 258904, 486268, 112051, 736125, 787243, 246712, 363620, 545699, 765389, 286366, 951529, 755382, 492127, 883770, 357859, 333430, 482620, 396167, 82937, 347315, 101729, 512424, 525952, 905266, 592237, 638769, 565461, 474278, 295736, 855863, 665767, 409025, 352548, 241930, 499876, 858498, 41767, 519690, 611483, 227300, 721794, 322417, 844744, 975744, 966751, 851816, 154103, 232226, 618127, 771473, 38620, 298673, 282649, 683696, 336472, 487542, 500267, 759552, 165942, 542975, 161368, 688273, 609694, 914566, 451869, 923685, 71106, 654326, 938528, 309512, 559789, 146984, 866548, 41655, 834559, 302422, 49254, 615639, 729329, 317338, 920670, 814927, 808430, 511744, 415097, 114505, 354167, 456182, 59172, 800945, 272110, 511273, 83144, 910305, 413017, 687071, 317226, 340357, 71502, 259401, 377279, 53165, 195368, 117254, 533273, 604002, 827714, 167895, 892666, 52361, 215336, 298608, 181448, 427960, 263058, 332895, 484677, 933805, 47626, 749093, 816909, 493260, 157467, 652992, 626418, 226769, 759637, 604046, 698122, 748013, 460152, 530259, 279301, 619686, 969922, 262646, 513182, 513284, 140800, 778331, 903403, 276382, 519166, 587359, 14158, 35191, 500480, 858547, 406936, 29882, 329227, 740640, 604839, 808674, 870349, 938071, 926634, 305654, 893449, 786677, 811637, 389440, 81415, 171636, 536162, 732181, 784359, 917616, 875315, 954216, 385459, 796326, 7645, 389232, 264443, 211386, 603354, 452034, 182556, 145596, 119428, 682259, 91143, 235462, 169913, 647776, 105563, 182915, 702981, 143977, 609866, 23007, 514518, 342438, 933858, 496933, 813831, 273475, 705266, 716354, 254115, 368534, 437645, 381201, 341830, 973876, 960173, 34190, 882869, 205756, 824302, 491402, 862525, 412803, 141406, 896066, 954062, 423366, 631965, 497276, 915362, 615251, 2036, 310322, 466289, 281510, 671697, 410, 525972, 256735, 174986, 887192, 919868, 62362, 260777, 537210, 453026, 863395, 493521, 152616, 568635, 622361, 878478, 17458, 61202, 371052, 873133, 59426, 92990, 662705, 136654, 426598, 838874, 726081, 766889, 630726, 192152, 629834, 680404, 119496, 943434, 503858, 326889, 414014, 253659, 137658, 988677, 350477, 100906, 485685, 157286, 338789, 544236, 25794, 22092, 406280, 805241, 59215, 497321, 601097, 635612, 39330, 843394, 459088, 754069, 478693, 354621, 580469, 668408, 383866, 617872, 272058, 672865, 777901, 212384, 921021, 936434, 365507, 819617, 918010, 661970, 274586, 747433, 52246, 341340, 33848, 276766, 307619, 986826, 162610, 563530, 487636, 570186, 638259, 428647, 609924, 248551, 855014, 397162, 839163, 477270, 941519, 738186, 618816, 962104, 194398, 887922, 458842, 242545, 278288, 805767, 421572, 803632, 658082, 767566, 482939, 216353, 472165, 716952, 946131, 24424, 242093, 104924, 453975, 983540, 30336, 219526, 904451, 105122, 575362 ]
990,013
[ 217134, 868135, 397582, 797480, 58249, 106033, 239617, 351042, 295759, 907092, 675271, 897212, 383661, 270629, 569923, 296370, 421885, 406790, 897517, 564253, 618738, 236076, 361944, 470634, 929512, 477175, 558756, 261958, 301993, 302336, 6068, 910661, 531566, 225467, 192999, 687166, 418598, 150386, 265969, 317364, 850985, 479011, 36925, 655641, 568474, 257329, 402926, 443813, 573302, 918192, 753366, 128854, 119013, 728415, 751339, 181910, 717222, 832674, 369998, 78514, 900676, 117555, 15179, 765382, 933919, 314326, 35248, 670427, 797256, 2974, 826266, 989468, 668506, 227786, 155779, 622732, 875206, 494564, 959579, 98731, 251991, 486854, 459952, 363139, 763529, 387807, 810849, 279386, 434803, 365145, 271624, 952675, 885853, 579033, 686492, 329420, 116844, 814379, 633114, 668985, 59823, 3689, 334499, 34209, 135397, 752997, 839856, 209811, 177049, 257732, 209336, 298713, 815874, 960937, 33446, 981800, 608115, 975888, 424471, 982515, 745992, 737836, 939932, 205164, 423590, 541599, 236821, 436402, 207878, 331402, 277431, 412216, 362982, 513730, 463345, 627140, 694980, 841940, 661533, 236686, 85238, 310737, 198242, 409447, 187118, 787595, 446699, 946821, 582680, 695575, 675382, 898617, 334917, 550031, 76521, 577083, 966332, 145753, 861327, 502221, 796410, 691755, 180001, 444874, 622022, 205618, 815892, 347912, 764997, 795357, 877620, 863866, 338918, 320036, 181344, 638547, 688348, 970995, 620959, 369750, 780424, 784527, 17006, 721138, 310141, 408113, 958704, 79919, 144654, 669077, 432043, 365737, 362380, 591700, 965650, 628322, 361796, 186295, 19980, 615745, 84242, 846104, 976012, 442997, 20394, 666384, 245187, 234813, 2856, 887600, 953825, 175753, 335103, 398946, 688499, 678636, 272005, 792207, 970906, 458693, 638346, 95209, 528791, 600422, 502066, 48964, 423920, 392975, 13971, 353332, 917868, 399113, 518472, 144176, 35253, 800086, 428134, 624341, 543917, 382070, 777040, 782936, 762590, 286971, 383334, 218284, 559056, 968622, 870730, 640996, 700438, 944423, 804674, 912307, 246559, 795150, 874383, 830357, 277359, 478344, 341288, 480460, 989352, 310067, 759197, 538486, 662681, 654849, 936260, 982822, 667172, 903455, 466732, 158032, 737554, 853100, 380608, 659010, 346893, 95128, 977052, 249958, 988579, 874671, 603469, 70101, 364008, 646480, 562477, 597829, 904198, 10047, 930208, 711424, 461728, 449262, 349008, 479616, 537413, 46572, 539773, 986769, 385601, 787678, 35266, 789728, 201689, 646297, 951174, 451337, 934767, 702248, 637121, 105170, 674290, 278620, 520287, 295893, 442980, 140211, 75871, 543925, 877599, 99220, 112888, 247606, 484095, 987488, 918134, 390489, 809525, 640764, 594788, 104307, 440540, 535557, 617208, 418146, 848070, 618806, 881277, 71443, 824225, 538845, 35934, 313401, 326254, 929592, 512268, 505204, 296268, 28626, 694242, 97671, 985039, 681751, 692846, 179725, 933441, 431675, 779565, 248178, 973456, 300241, 127364, 844416, 861338, 452138, 755373, 775598, 947890, 236542, 240134, 153449, 800680, 36948, 468468, 921062, 858661, 527301, 56338, 37952, 518716, 981563, 926870, 22117, 248662, 661609, 926714, 46421, 520313, 29833, 95557, 478132, 119392, 626380, 101541, 25712, 780493, 439050, 923626, 59562, 763152, 39809, 922309, 168764, 407827, 512827, 833892, 652257, 233194, 365639, 652696, 14522, 215554, 144559, 65901, 638821, 322155, 90721, 518685, 710350, 977550, 295529, 687586, 69977, 658426, 122934, 986988, 401416, 475703, 510990, 589460, 315669, 802295, 598607, 398031, 271588, 903161, 269849, 825442, 769746, 865652, 768560, 469544, 176947, 31120, 970022, 571620, 815928, 832733, 903540, 312851, 917422, 635821, 743833, 176316, 712821, 406877, 589956, 716694, 888913, 468732, 390656, 452542, 182528, 216452, 884951, 380060, 898096, 578999, 716992, 583485, 390003, 259517, 238441, 651213, 380816, 806360, 48463, 425929, 211099, 812225, 781611, 484865, 262481, 55501, 544503, 924138, 82481, 230872, 606791, 13195, 33245, 971034, 545106, 929453, 261665, 311779, 620120, 956745, 562765, 819390, 973007, 207676, 104595, 594243, 25415, 190293, 489678, 484202, 144482, 697638, 69663, 494520, 135464, 460068, 658930, 925769, 410667, 72689, 367633, 979281, 620272, 198272, 55420, 846403, 804617, 559731, 338994, 133617, 52387, 234288, 943853, 9135, 184421, 714128, 103622, 58199, 36343, 13768, 294937, 636238, 665949, 286355, 275500, 878379, 40846, 264531, 410988, 320765, 268666, 916178, 685416, 242670, 888215, 407619, 3563, 835055, 45756, 954544, 49914, 56237, 491684, 62043, 274771, 230434, 910176, 89941, 526067, 717296, 904100, 614674, 192123, 304589, 126412, 970899, 249931, 120788, 11556, 70591, 981845, 214239, 264373, 207674, 128283, 431617, 576543, 846914, 916731, 104003, 709991, 267280, 960408, 281967, 790860, 288844, 16333, 282902, 934905, 364464, 830593, 270056, 239168, 219120, 357200, 242931, 244479, 398454, 258899, 527442, 853227, 770347, 864029, 605593, 810859, 663694, 186586, 525719, 25603, 877902, 846315, 327664, 58045, 355082, 691013, 451947, 658622, 843191, 708303, 469540, 223936, 881811, 686987, 102547, 399580, 962284, 295969, 160222, 964861, 458040, 759639, 124026, 754148, 442008, 66735, 102632, 786520, 507590, 346544, 408277, 902902, 224690, 763931, 358257, 933182, 523139, 195297, 13561, 217750, 481547, 611595, 69689, 853861, 635369, 113099, 28866, 11506, 454609, 140288, 985759, 654480, 525178, 956500, 933612, 861196, 150486, 756690, 960589, 603016, 517168, 413483, 788266, 654995, 381886, 541873, 932241, 90661, 713859, 794353, 198973, 585687, 840074, 472613, 330564, 516967, 226002, 445566, 960703, 472296, 978160, 496543, 427542, 595791, 617039, 936797, 826300, 849244, 234815, 216155, 166774, 244218, 844659, 882090, 556066, 880224, 392472, 483031, 27498, 347057, 112773, 4226, 335342, 286491, 527337, 744349, 488627, 285513, 521108, 434197, 601306, 337501, 99959, 428844, 760727, 269062, 298414, 434670, 930770, 507771, 595259, 51030, 779261, 803405, 138936, 425638, 100829, 414857, 609475, 523459, 653628, 919107, 633956, 164249, 131268, 799495, 2450, 456815, 794866, 703867, 814350, 882567, 104133, 807746, 496800, 794081, 920889, 140183, 59159, 953635, 844767, 156112, 688269, 907463, 868466, 739793, 727638, 921822, 273418, 425600, 296334, 819873, 499573, 228683, 873375, 402564, 6772, 558079, 694004, 17607, 250464, 457961, 526483, 981533, 504627, 743127, 191222, 706422, 638463, 527144, 866754, 271129, 459026, 697939, 789255, 824735, 718121, 759988, 585159, 513404, 366965, 298574, 935746, 378287, 562438, 118255, 332702, 715170, 626599, 406428, 60949, 515119, 876791, 292167, 676484, 21169, 948154, 250195, 723229, 97064, 215225, 372149, 679625, 584473, 832294, 755333, 591966, 102732, 113575, 613088, 316200, 422480, 670176, 92800, 810930, 231099, 66072, 968748, 17472, 839178, 141508, 359101, 910299, 426281, 468849, 903162, 885750, 608022, 623761, 762057, 454657, 651968, 366842, 170688, 597793, 560461, 575205, 784963, 41696, 273189, 872871, 15186, 986450, 657963, 784249, 653977, 638195, 557817, 308296, 341487, 395823, 345623, 749411, 801003, 597585, 959936, 166987, 822081, 261543, 210405, 51980, 81026, 739172, 734997, 130104, 234315, 427302, 703962, 706219, 536824, 686857, 330885, 830291, 211128, 592747, 722253, 502466, 309628, 478652, 597007, 838305, 828287, 273294, 11177, 677757, 431760, 583847, 700631, 842963, 861009, 621680, 102620, 403523, 137903, 432195, 944147, 718754, 909646, 840638, 201037, 615881, 954341, 936009, 811750, 56959, 473394, 305174, 920353, 409261, 91492, 555334, 801368, 619456, 216787, 420775, 206479, 528707, 618357, 859693, 844122, 870961, 484520, 561962, 447204, 34332, 99824, 91959, 765028, 359335, 563073, 743720, 592458, 110586, 400317, 368851, 207077, 695971, 907879, 577565, 328177, 830373, 54474, 466295, 710286, 261506, 319369, 495869, 483189, 877030, 514515, 431478, 42554, 482535, 157210, 95890, 898457, 356470, 323468, 395079, 785669, 117533, 288021, 458958, 5706, 59196, 408379, 11616, 881098, 894936, 227092 ]
990,014
[ 168375, 509961, 833232, 16932, 9901, 640059, 359719, 662903, 591435, 541278, 216312, 247817, 779625, 249543, 732510, 30386, 769832, 19837, 659811, 610784, 930150, 614072, 789233, 399822, 463318, 43461, 804918, 981930, 74853, 634107, 834404, 617078, 55387, 897293, 410860, 175550, 116244, 902662, 13072, 710765, 333209, 782994, 821760, 585823, 974703, 807475, 771188, 106908, 22960, 480126, 651655, 531161, 707826, 80727, 565066, 946957, 448152, 444205, 180708, 167488, 415202, 453965, 390841, 776211, 685686, 779764, 964664, 976098, 435845, 192794, 392589, 356271, 988444, 72031, 480783, 639413, 563746, 181841, 230778, 718533, 893925, 591451, 238350, 559095, 371829, 80604, 65377, 221606, 884542, 936825, 812914, 384826, 391359, 54193, 176025, 583964, 184798, 848087, 804770, 498277, 959647, 796523, 652656, 417233, 433756, 642268, 120404, 117786, 955379, 988146, 470041, 845097, 718809, 650487, 194203, 842087, 294674, 102968, 359909, 102794, 899658, 465846, 656478, 818860, 766480, 119973, 708608, 171077, 267830, 202873, 843034, 122318, 57522, 28464, 199469, 581959, 518906, 945814, 489595, 386022, 594519, 119917, 126907, 351405, 591858, 303852, 663905, 305819, 964421, 49325, 689312, 291859, 340998, 512294, 745281, 780824, 489277, 289252, 293088, 762454, 888039, 486681, 663000, 976683, 711990, 309828, 212410, 465394, 184048, 973946, 565972, 206842, 279524, 666706, 273499, 43035, 875248, 840242, 39348, 748012, 940399, 121624, 940953, 19372, 169861, 446966, 606162, 417210, 767811, 388805, 843646, 749036, 526837, 532191, 433454, 661641, 823480, 170448, 657103, 134758, 510101, 301389, 884192, 153427, 647566, 635582, 12311, 75014, 292066, 333697, 591295, 253610, 611537, 530061, 204580, 915180, 111737, 765840, 144755, 598007, 149003, 636029, 477010, 411332, 669972, 12169, 835261, 919696, 168105, 110773, 14615, 215652, 788370, 120348, 152554, 87353, 544398, 301859, 544390, 270824, 716406, 30201, 180636, 57363, 553290, 245168, 94310, 899909, 647960, 568143, 143233, 232494, 901194, 678290, 171301, 539907, 881306, 798415, 46445, 891114, 120014, 861454, 695915, 216624, 904362, 425293, 237979, 717397, 135927, 216281, 804796, 277166, 394292, 850434, 777855, 552730, 871666, 662631, 401598, 406386, 250118, 603342, 955571, 91907, 154675, 840465, 493281, 392762, 584450, 181714, 259609, 58058, 749627, 398407, 558164, 735913, 365778, 7881, 381061, 610743, 602824, 872642, 78756, 283652, 807643, 349738, 449358, 762915, 791233, 777403, 470957, 306702, 76969, 215695, 27836, 659109, 592786, 350854, 17316, 697968, 758091, 133231, 343051, 392773, 880767, 724812, 131557, 828058, 751931, 970536, 675261, 695952, 853366, 459464, 687373, 294587, 426944, 107908, 238090, 798162, 61185, 986101, 583811, 112103, 808445, 857113, 587907, 842350, 228036, 34118, 717170, 488284, 325312, 426322, 449885, 608518, 42488, 954023, 82105, 802140, 653072, 735603, 786622, 899420, 537645, 734335, 716605, 631076, 491992, 21704, 288842, 34772, 100008, 721031, 828433, 30596, 686693, 663503, 600438, 142475, 849523, 847213, 70465, 145477, 705620, 16115, 989311, 961895, 419265, 809401, 833885, 72624, 498221, 331130, 319559, 466447, 536146, 15992, 435552, 128076, 657801, 519496, 785093, 886548, 184063, 874428, 402681, 166878, 460717, 162778, 209122, 669155, 284729, 66441, 843458, 837177, 44910, 194591, 852227, 864243, 878699, 708507, 934593, 396133, 23260, 607645, 90282, 219002, 332372, 173145, 775806, 296891, 746915, 327015, 812778, 471859, 41015, 766246, 690565, 626050, 453728, 226227, 565551, 124127, 56570, 281018, 178866, 317040, 223705, 529988, 320477, 921332, 561106, 897299, 701195, 536559, 41494, 37360, 948867, 866171, 241121, 234099, 299130, 202427, 176952, 17038, 982269, 482750, 820427, 522590, 464354, 420597, 36538, 171661, 239351, 40165, 881300, 90633, 558874, 454913, 418238, 388574, 461134, 955023, 327084, 171275, 415012, 949219, 518780, 969485, 91392, 397038, 516909, 53208, 447177, 170253, 342139, 62415, 892757, 64615, 25624, 586583, 540001, 239460, 3825, 782414, 438370, 395386, 170368, 538994, 280121, 113276, 890638, 711722, 734632, 166991, 237724, 439721, 985217, 379004, 849310, 817475, 919380, 762808, 46196, 242737, 979357, 217734, 581195, 532707, 368003, 88263, 636361, 861075, 76705, 595494, 884983, 563080, 862270, 432221, 539362, 295443, 366871, 729475, 894974, 587142, 473711, 932351, 55859, 372163, 906662, 711872, 924527, 876779, 269966, 450815, 702440, 800254, 350479, 827017, 858789, 257456, 362551, 180694, 956345, 407819, 509403, 751706, 8405, 38806, 802586, 238065, 102935, 656524, 989223, 115640, 323335, 604235, 647972, 84550, 16288, 967943, 460910, 37572, 453587, 350341, 815790, 779469, 658193, 512368, 191713, 949916, 681514, 808055, 623579, 240903, 427518, 558072, 915116, 148517, 666766, 20874, 699775, 770026, 135749, 800633, 271774, 878780, 893358, 374460, 893259, 6122, 922714, 89619, 353371, 612319, 244911, 44994, 961626, 794174, 641588, 403733, 763393, 386895, 922285, 501872, 950743, 685965, 172905, 698822, 850323, 437404, 272650, 767199, 495931, 317637, 705522, 503731, 423342, 560867, 551206, 137385, 927057, 472290, 526408, 821816, 851067, 765742, 125753, 389866, 475491, 540418, 432074, 803561, 271717, 184247, 786360, 404092, 305885, 134344, 67199, 791110, 486253, 779393, 467931, 514619, 819604, 300239, 129171, 232053, 545306, 192663, 200826, 932911, 305096, 941788, 215231, 582699, 353665, 697284, 174358, 113980, 793615, 986129, 539233, 828302, 491223, 838161, 222600, 57898, 473152, 686711, 960539, 632089, 743746, 97061, 479311, 549854, 757270, 641451, 502811, 331321, 696108, 844339, 740931, 989442, 752380, 501657, 142921, 975099, 640112, 698371, 899116, 707046, 254953, 848681, 755098, 156707, 839748, 795973, 126292, 237245, 259162, 835545, 503139, 337084, 839078, 749234, 399338, 393762, 380026, 112321, 109913, 975829, 382695, 882913, 522006, 529810, 244874, 212506, 729780, 942830, 597637, 647745, 218872, 262392, 16204, 342830, 243670, 354826, 929927, 933802, 135572, 871081, 768115, 356782, 305172, 561114, 14869, 128420, 800202, 397522, 198637, 721757, 275501, 954322, 889298, 587043, 397475, 538182, 603486, 534318, 547457, 822443, 768525, 159292, 596499, 726140, 96658, 107882, 296, 473793, 120703, 625347, 714708, 404957, 16144, 776396, 694715, 680370, 60778, 752695, 341302, 834196, 736363, 949459, 728856, 768510, 914538, 234194, 198708, 666172, 770552, 278947, 926580, 495645, 864090, 883268, 825722, 675741, 596590, 69791, 485257, 713428, 75010, 928997, 547060, 684048, 595525, 274218, 914891, 985541, 716437, 910188, 584555, 621116, 548482, 628850, 538400, 799269, 931924, 895642, 888658, 418715, 196611, 631834, 611101, 813694, 658208, 305566, 754814, 918979, 352513, 661824, 38791, 37947, 70080, 276230, 240448, 591877, 862337, 23963, 194754, 880643, 656518, 813912, 248813, 96528, 363931, 979438, 12278, 731868, 905616, 758302, 347899, 751517, 862705, 654261, 279279, 726655, 145518, 134665, 349573, 793730, 840758, 158346, 731216, 906524, 492191, 712998, 950352, 834642, 579461, 609578, 256188, 743236, 219175, 34822, 514893, 738449, 714280, 756203, 352858, 490290, 776276, 855336, 945570, 36517, 906773, 652383, 810328, 961273, 931992, 813510, 485293, 915691, 838267, 329232, 472489, 607687, 336938, 322300, 180156, 706983, 286634, 540295, 976095, 693573, 12700, 633857, 470537, 884241, 472703, 177445, 241003, 720986, 264166, 302248, 776885, 114727, 495251, 462114, 418368, 950053, 945956, 584592, 705107, 385692, 945445, 367742, 795178, 869520, 597508, 489742, 37808, 803846, 297438, 18310, 630219, 537479, 760993, 256930, 422364, 897550, 603451, 984886, 525452, 737450, 445623, 727516, 813469, 687521, 267247, 572136, 943399, 818772, 385226, 296595, 771738, 985619, 352697, 885715, 355518, 832567, 759202, 563162, 656744, 955680, 634840, 727697, 49529, 439856, 468431, 681101, 791514, 883624, 663405, 903833, 421646, 371022, 344274, 599519, 23031, 634880, 559381, 821091, 404534, 561566, 537234, 676315 ]
990,015
[ 136947, 686161, 423358, 779673, 401471, 909022, 349768, 483192, 113579, 784247, 897951, 38769, 80083, 619994, 635668, 988258, 363143, 879627, 22498, 455879, 813007, 462750, 321733, 49479, 539423, 283401, 117296, 746451, 212711, 762699, 257841, 234762, 956127, 440973, 100220, 182381, 13488, 916935, 196648, 924298, 780795, 846206, 4467, 977864, 892168, 207871, 265708, 556178, 756714, 278339, 459813, 845360, 856464, 245811, 262749, 2432, 129353, 477573, 429634, 917414, 515124, 520835, 610746, 823890, 678667, 455669, 558155, 878091, 328908, 359508, 163317, 240887, 974062, 176510, 759590, 914422, 837893, 977938, 173465, 100682, 775183, 267050, 68767, 858138, 185112, 957794, 388712, 916683, 508149, 269735, 699805, 132425, 583926, 296984, 172374, 444405, 582927, 762942, 910132, 49145, 297318, 183436, 404358, 301315, 469438, 40663, 948381, 977632, 660859, 781089, 915520, 840032, 277252, 140039, 947621, 678807, 468730, 91334, 623060, 895404, 330426, 386706, 975492, 428177, 489667, 94355, 941063, 189946, 32425, 86337, 428985, 593355, 332117, 687536, 102258, 87987, 566317, 807914, 658654, 13843, 251507, 586240, 409983, 319290, 401349, 372306, 837559, 220216, 586430, 569516, 534606, 844170, 550217, 711772, 871908, 604140, 969324, 876655, 214423, 490430, 674451, 337807, 944234, 814568, 226206, 268593, 744484, 3188, 582210, 62263, 745783, 280236, 136020, 276742, 396257, 457695, 671981, 27936, 150910, 181597, 299499, 581758, 52372, 326282, 564843, 85097, 545646, 149986, 106919, 648384, 248349, 320825, 96188, 907817, 524096, 921509, 378671, 646208, 491177, 914948, 511739, 88831, 713283, 413403, 320111, 114699, 645849, 616618, 608269, 392528, 499805, 828783, 655249, 78475, 414303, 279842, 641899, 983879, 239607, 817603, 363844, 842085, 628341, 789004, 369085, 671754, 26249, 214486, 158871, 235336, 387124, 204823, 119051, 983393, 286331, 249905, 614804, 132233, 569330, 625199, 910334, 617083, 739197, 310648, 301113, 766296, 851090, 788126, 941585, 967962, 264779, 579852, 151244, 868043, 769093, 249842, 183011, 978306, 903330, 361911, 919543, 147510, 984319, 733660, 507400, 32739, 832809, 614204, 627852, 474420, 895795, 439578, 788925, 589296, 965429, 612830, 99381, 367221, 140447, 634850, 216254, 178226, 349046, 27951, 806794, 928654, 373206, 399171, 318338, 399294, 549945, 974694, 782507, 23102, 263441, 206649, 630613, 419799, 25315, 762756, 789643, 973934, 728266, 66226, 555359, 10629, 203446, 810117, 298410, 29485, 258260, 746465, 386652, 434617, 868874, 229365, 975748, 896100, 206675, 419225, 360541, 493010, 510463, 701190, 900037, 885912, 437861, 720601, 865363, 105664, 963209, 585908, 775370, 590752, 505744, 148507, 698160, 539447, 524465, 658303, 832933, 206269, 631919, 712073, 934506, 948407, 967665, 930302, 763734, 4578, 393032, 237040, 155179, 757344, 934278, 742730, 631991, 717500, 910997, 309784, 566239, 281762, 968531, 382846, 64378, 280017, 301791, 928809, 936765, 397383, 744488, 494133, 166843, 706804, 509243, 383431, 415522, 818260, 983600, 470368, 880216, 202974, 691075, 206316, 286416, 50479, 207036, 466952, 462030, 924469, 905928, 100019, 744686, 330149, 216386, 231066, 671912, 179306, 615688, 696723, 261849, 167176, 54381, 157639, 280811, 40880, 762446, 292532, 960714, 929429, 68585, 571820, 877117, 282702, 493888, 589438, 234615, 581035, 606656, 582363, 169992, 766555, 357592, 950911, 444652, 34024, 252565, 850298, 22827, 542850, 898778, 555829, 231056, 490054, 812002, 777423, 942843, 955286, 630233, 337058, 661849, 429632, 365863, 150808, 432907, 14570, 953502, 771192, 18938, 86753, 281055, 535411, 697219, 298762, 872286, 916260, 892631, 709734, 533086, 827839, 705367, 92071, 503242, 232753, 882939, 67325, 382063, 319865, 911198, 360100, 693347, 136749, 451407, 20544, 843317, 929385, 945148, 556577, 389, 463121, 846097, 476374, 163206, 675264, 813567, 217676, 264587, 309562, 880884, 922506, 759722, 982606, 789410, 958170, 28466, 963562, 756785, 839579, 108105, 838111, 26569, 396484, 832152, 776670, 610129, 435083, 588829, 822581, 227505, 568656, 95635, 483013, 161186, 768505, 26945, 673461, 604525, 185718, 560698, 744089, 577672, 240572, 808378, 266073, 485312, 326488, 749876, 679460, 600435, 812961, 619126, 140733, 791349, 609597, 460769, 978772, 87851, 957257, 19485, 411688, 388547, 130907, 189822, 260172, 461895, 905905, 96139, 460839, 198054, 912593, 487382, 208324, 195823, 733502, 531014, 514836, 390971, 816381, 978640, 412903, 16671, 83893, 231420, 242898, 464744, 50796, 812777, 89908, 986449, 516509, 121361, 68269, 877673, 523229, 294649, 501887, 965456, 671197, 304691, 232016, 1669, 880305, 534830, 411108, 954822, 111236, 271722, 758055, 679109, 502157, 155676, 122556, 8133, 582079, 277975, 890484, 96867, 112909, 676443, 904109, 908320, 153579, 25319, 202646, 750295, 383384, 505656, 343167, 637589, 702343, 657237, 322214, 512642, 262879, 123610, 551274, 794971, 364159, 854629, 935299, 618834, 533149, 504708, 37219, 824959, 864680, 166274, 469851, 681905, 792737, 374971, 514398, 690587, 301445, 867565, 390768, 412353, 399835, 222227, 376382, 494300, 137296, 750083, 978602, 81006, 953712, 487323, 42200, 879118, 44573, 347985, 523299, 635486, 139341, 78094, 339487, 759767, 826298, 66534, 135309, 652244, 823470, 67628, 870380, 189036, 816569, 9305, 75617, 185721, 149174, 968808, 526473, 283574, 846913, 521836, 246451, 162474, 197910, 261069, 669718, 484312, 592658, 333863, 422006, 957269, 474822, 937780, 725308, 426724, 716607, 530666, 85181, 569934, 383796, 373291, 30966, 461454, 570050, 210379, 723036, 284953, 930646, 49936, 334197, 36067, 854888, 866118, 111494, 665690, 798368, 929143, 805165, 172414, 309030, 652415, 228937, 214195, 841432, 659935, 329843, 93061, 305078, 665561, 318570, 774718, 926375, 940185, 384721, 272977, 571041, 884683, 178634, 425390, 449992, 615497, 57465, 755762, 187816, 431849, 936327, 805782, 283458, 103896, 250804, 730015, 335841, 720671, 806823, 907665, 798409, 205922, 575679, 636514, 421327, 815412, 552286, 510944, 868057, 401665, 671936, 81861, 13296, 755806, 928, 90728, 978089, 313318, 278721, 953289, 13894, 675906, 767468, 16187, 24513, 803538, 194468, 805967, 3422, 363692, 810053, 648330, 933543, 178403, 858641, 145641, 550007, 483006, 818270, 701325, 488753, 590466, 434265, 413909, 268948, 258291, 555180, 502434, 886955, 206395, 627487, 1334, 443035, 662536, 345696, 813027, 980983, 691824, 609513, 557185, 569939, 795827, 187491, 291601, 864577, 97838, 180018, 880711, 810833, 444390, 26221, 907144, 64775, 40505, 978207, 720590, 720471, 169138, 673630, 213126, 788793, 956209, 109, 255024, 586352, 280537, 964835, 269657, 766691, 404206, 652933, 431119, 685369, 795532, 78631, 354334, 581735, 162538, 711964, 552113, 549406, 147292, 689842, 402481, 750163, 483397, 239251, 229872, 300670, 165115, 900661, 302518, 624447, 411987, 463294, 319101, 738096, 989168, 46205, 410373, 697903, 556615, 515720, 745410, 710974, 222842, 784298, 790958, 571468, 48359, 827964, 172774, 48031, 852474, 734997, 629379, 443266, 55759, 891996, 367767, 462553, 370260, 238263, 380412, 713659, 648994, 605186, 191065, 434585, 268284, 432113, 913935, 988201, 910565, 688410, 769633, 963160, 255117, 103565, 443208, 832508, 419306, 375218, 282603, 775167, 231391, 265003, 574499, 165477, 445178, 972562, 893897, 105317, 151483, 727409, 539225, 909519, 219342, 722389, 431516, 430425, 985338, 594076, 507450, 38153, 752402, 364865, 622181, 463095, 22776, 174256, 942003, 31286, 607806, 138554, 343050, 276975, 619059, 184410, 278437, 780652, 930007, 272455, 349201, 143753, 961428, 766512, 975555, 62798, 746309, 281609, 696885, 214895, 27855, 415702, 857069, 683601, 821675, 953426, 965641, 926272, 434697, 548622, 967259, 106853, 186024, 810278, 477512, 783302, 300029, 342958, 943749, 37166, 30923, 345339, 456077, 527176, 547514, 945008, 132758, 2987, 908726, 409928, 966934, 468267, 834794, 57083, 852650, 947684, 596778, 608109 ]
990,016
[ 940787, 821846, 93935, 940690, 600958, 657418, 95816, 562408, 967424, 885781, 266482, 886975, 252289, 580257, 918152, 736357, 493246, 372849, 716297, 794495, 35711, 419450, 473721, 451168, 238712, 798569, 670964, 385265, 549890, 174988, 498477, 745792, 895494, 345448, 64014, 527656, 629057, 89100, 177664, 811847, 602559, 869829, 374199, 533757, 402416, 78173, 727011, 745002, 910371, 946571, 988898, 347150, 682701, 800246, 124954, 230358, 767336, 929800, 616545, 196040, 326413, 906889, 354358, 401382, 700801, 283068, 11467, 67847, 890290, 410528, 192975, 679509, 173115, 302418, 124492, 773287, 640609, 261659, 246687, 675722, 726517, 33180, 732091, 258850, 31268, 386929, 971476, 410304, 211819, 187997, 335220, 493995, 515058, 87342, 832669, 39078, 577411, 621954, 288076, 116412, 424036, 224578, 644373, 537297, 46938, 176588, 712056, 327148, 172585, 576280, 69135, 541799, 156354, 961340, 220173, 676505, 341735, 511629, 572106, 315459, 300348, 685830, 335151, 850627, 630293, 899855, 715713, 41141, 293854, 773320, 958626, 676992, 474457, 914851, 537205, 379902, 360528, 655367, 155516, 41430, 696887, 362259, 533853, 73054, 292945, 961533, 194794, 167734, 692923, 179313, 666346, 487838, 403231, 282487, 196758, 316030, 131344, 786053, 721373, 623232, 147605, 188398, 915728, 385044, 376991, 989654, 15741, 533614, 524280, 146367, 204238, 210299, 407575, 412589, 183523, 875619, 317453, 219719, 98211, 429466, 595442, 406378, 391916, 777916, 375041, 534758, 704559, 343580, 170442, 485682, 613464, 10059, 359367, 853405, 428720, 610491, 45116, 121944, 427565, 444624, 690748, 449310, 751224, 276598, 446180, 634398, 52257, 800590, 594203, 361388, 400910, 791337, 59742, 405109, 673527, 801104, 979491, 181723, 714192, 134726, 426860, 427512, 947650, 599765, 282534, 938566, 251107, 217143, 573128, 397186, 823511, 37517, 483133, 567503, 493962, 848178, 751395, 672740, 795947, 976204, 688491, 140356, 36297, 837934, 534935, 919953, 201700, 641844, 655670, 720520, 160281, 433935, 385243, 231416, 181989, 91467, 896530, 259902, 515618, 134909, 455127, 899649, 137077, 627047, 189037, 745086, 703994, 159371, 858665, 820346, 17179, 564125, 310516, 157413, 970183, 959954, 930550, 987506, 468564, 921599, 388724, 278143, 497496, 8200, 407286, 969672, 815270, 238128, 546339, 426595, 668918, 596237, 581932, 596067, 698603, 848455, 442260, 899960, 458142, 754937, 108890, 650555, 674260, 918744, 461875, 673327, 605117, 320061, 347163, 3736, 833601, 20388, 190346, 419763, 782328, 906878, 856002, 426520, 833071, 205694, 637867, 643744, 368390, 349236, 809901, 365743, 73988, 361066, 98255, 20306, 34493, 68051, 390697, 752985, 349704, 985189, 36514, 532575, 571597, 818687, 358334, 687852, 458246, 874561, 905702, 749422, 925999, 452681, 852451, 866683, 674627, 236631, 44639, 438672, 185590, 865541, 628214, 664954, 280283, 741711, 165703, 587928, 13741, 746376, 250786, 701728, 12184, 740732, 844051, 691440, 420632, 3534, 173601, 615309, 265413, 387865, 322600, 68019, 86797, 456645, 599567, 679727, 648885, 201614, 988612, 885766, 541674, 289685, 248224, 626702, 143947, 740557, 767887, 724065, 742630, 399225, 616663, 454735, 201102, 384638, 425105, 712097, 763726, 405936, 51108, 699495, 59201, 86598, 849655, 131061, 429624, 463872, 907121, 838098, 903102, 94053, 458872, 914754, 346547, 928837, 237915, 82055, 242115, 289980, 98911, 601957, 5274, 957061, 349244, 29300, 935936, 733373, 528986, 3391, 270990, 816728, 221864, 498896, 652025, 807432, 825010, 593709, 955992, 453612, 158747, 318192, 532519, 163528, 461688, 772570, 823790, 370072, 266665, 804002, 145434, 391032, 415030, 23092, 856795, 31679, 902083, 684481, 933359, 244253, 676568, 510274, 204429, 962627, 432521, 519083, 165620, 390658, 121313, 778160, 848059, 914209, 289749, 359796, 911721, 300931, 974783, 22156, 280988, 163008, 385278, 447037, 773449, 840273, 100688, 240126, 888471, 647740, 163775, 306564, 809048, 199273, 366945, 492970, 559100, 544494, 261780, 150992, 434751, 960711, 77605, 86613, 552537, 408565, 316623, 958925, 759954, 879685, 711931, 559016, 815264, 443109, 638560, 156179, 172665, 110067, 876592, 317829, 714108, 5318, 768292, 752780, 975356, 959052, 513192, 381296, 591893, 542803, 216567, 318898, 676156, 404775, 237130, 614121, 351828, 545584, 626742, 907159, 43330, 528207, 552180, 115441, 318726, 478027, 111985, 896864, 856247, 951635, 692236, 942672, 284756, 470831, 791603, 495061, 804591, 691673, 115761, 839621, 513331, 112443, 547692, 521472, 100455, 386578, 309350, 393494, 678235, 380184, 583709, 124744, 511411, 205330, 423700, 890858, 252291, 738381, 42950, 612653, 184092, 787037, 359172, 123532, 529366, 476231, 182101, 855270, 319549, 516083, 173724, 238479, 793179, 777062, 162698, 321152, 156718, 551301, 633242, 557790, 769001, 87818, 469645, 640691, 462378, 940334, 13752, 315004, 211387, 483312, 966241, 891195, 216728, 161459, 546035, 134312, 741286, 100408, 866378, 527662, 400552, 514686, 918533, 422543, 500747, 571595, 418017, 8209, 643037, 920077, 820740, 329225, 931333, 311001, 222003, 239326, 474865, 188013, 813505, 374189, 723462, 112746, 3052, 90520, 612231, 696391, 612838, 896346, 793086, 18058, 770245, 340559, 776659, 799629, 876614, 835481, 500846, 153570, 196473, 227032, 602278, 852159, 496638, 866582, 699246, 469870, 37912, 533994, 903244, 407944, 500339, 444113, 834055, 313832, 92952, 213909, 566009, 437145, 763078, 893201, 693526, 104040, 3584, 220860, 855771, 85268, 633482, 729604, 402387, 903592, 48319, 674352, 348724, 624401, 674794, 75210, 778308, 959882, 840705, 814474, 151769, 342494, 89242, 823074, 825803, 126127, 949376, 204361, 570915, 404967, 706353, 303763, 808145, 350043, 256150, 224649, 808915, 842025, 246025, 715265, 504710, 642111, 350815, 273314, 464962, 905682, 256581, 80770, 977011, 598867, 826455, 605843, 197949, 184159, 769850, 464793, 519159, 234947, 739608, 102012, 348589, 362852, 556918, 117098, 513961, 481938, 655724, 909318, 188567, 973041, 109708, 267586, 885004, 88589, 99706, 436133, 214887, 104398, 430303, 812185, 489004, 422652, 280911, 106062, 607438, 90192, 199203, 838491, 702887, 468528, 486531, 439920, 977215, 76194, 312079, 975941, 859867, 85804, 914144, 828548, 7099, 458109, 232144, 336555, 621125, 40055, 458555, 721878, 613059, 548094, 581002, 687377, 753799, 936652, 917939, 405382, 17064, 971295, 852594, 768509, 220311, 539841, 565797, 615259, 117659, 475614, 540186, 83235, 67157, 816717, 431608, 666394, 881148, 160271, 446841, 184736, 953209, 63824, 900832, 34559, 808864, 212638, 396320, 940006, 65977, 20910, 314866, 150101, 233971, 19959, 224006, 806377, 845947, 323126, 714786, 575001, 659975, 758356, 674072, 595883, 747509, 630346, 335507, 468846, 749836, 745702, 248491, 715735, 828024, 93943, 825515, 268620, 296912, 712849, 363038, 96710, 234726, 58016, 120030, 27721, 35298, 452383, 584903, 442324, 594857, 715921, 411755, 683980, 31779, 713767, 140266, 250809, 951071, 329346, 512350, 160899, 457530, 655762, 154817, 962051, 27505, 681844, 431802, 188143, 450670, 519154, 810144, 734186, 347630, 960628, 435474, 808256, 385533, 184550, 377835, 178656, 696683, 622733, 243662, 472018, 12672, 33981, 151161, 563031, 169529, 146818, 565184, 839917, 744409, 54553, 647136, 359285, 616291, 359388, 413726, 297505, 774196, 363724, 681423, 465703, 422854, 259561, 329571, 106829, 704243, 257274, 87568, 219391, 644864, 610580, 752469, 929738, 154283, 593868, 828821, 837864, 682623, 930610, 588039, 530527, 591575, 430254, 505394, 680735, 299172, 157032, 235699, 956841, 615177, 795943, 543655, 449068, 963720, 625392, 219594, 794210, 457232, 781969, 627361, 948422, 921830, 252784, 284065, 900717, 103665, 667639, 451742, 643449, 300717, 10590, 728199, 379177, 395884, 91617, 985551, 641074, 276951, 921274, 245850, 651923, 152152, 11715, 571423, 456121, 693722, 933775, 401727, 323521, 606206, 540063, 904973, 337718, 545246, 1307, 331432, 415190, 762995, 218177 ]
990,017
[ 846624, 903744, 457113, 455769, 405484, 813492, 87245, 208227, 480368, 891210, 276258, 469845, 245331, 589943, 713141, 145460, 528950, 531227, 578807, 335793, 160011, 615925, 254097, 259835, 39071, 692008, 40958, 579607, 167948, 345168, 253637, 479333, 328899, 899879, 647248, 229481, 934562, 903567, 970348, 545101, 592573, 146348, 41502, 456234, 39444, 478320, 505563, 356594, 21975, 201165, 444167, 383584, 989024, 985571, 178694, 343304, 342297, 829609, 364592, 765351, 379833, 977761, 707799, 676540, 649739, 221551, 986591, 564085, 785613, 788833, 371116, 413446, 393562, 834286, 202011, 941366, 164458, 89196, 741946, 176158, 291088, 393769, 297070, 291394, 228589, 120057, 63174, 577109, 741205, 771093, 361973, 948389, 189518, 642688, 872511, 876266, 691350, 1680, 579888, 143584, 301677, 807204, 145574, 283028, 946029, 842908, 323733, 83294, 456895, 531725, 362986, 15576, 281483, 223568, 951734, 321623, 870918, 601555, 953138, 979341, 174182, 398361, 179311, 425864, 57697, 874934, 398165, 459520, 419657, 45007, 51126, 688064, 322222, 631730, 828619, 508271, 145397, 752493, 108764, 98838, 111410, 875132, 699103, 869205, 137810, 117641, 456721, 122616, 666445, 270550, 468450, 646716, 671005, 87820, 837140, 67797, 488664, 411105, 27308, 101144, 887114, 894965, 290194, 8112, 453019, 557965, 245102, 586198, 513903, 137078, 885723, 218921, 807447, 971662, 321971, 40621, 208945, 678639, 720081, 34848, 484858, 374969, 413404, 882647, 518701, 476386, 921277, 645318, 175771, 180180, 786067, 654231, 932612, 726125, 135370, 331445, 324437, 373512, 195255, 239536, 899037, 369270, 95674, 225186, 610415, 596604, 399331, 463716, 415147, 795761, 924721, 783771, 833901, 516161, 187831, 3234, 627339, 887282, 562222, 483634, 654276, 594735, 484612, 348647, 956597, 845688, 853363, 774258, 226957, 758434, 690932, 458669, 229399, 454603, 799862, 907831, 858856, 388580, 833398, 250863, 79354, 716571, 911869, 946533, 297746, 596475, 497271, 222844, 150829, 536141, 954357, 567328, 566480, 132604, 528040, 283686, 2091, 667367, 791204, 136616, 961285, 593756, 110840, 697194, 756125, 634213, 975722, 523112, 776861, 20858, 529807, 863449, 115764, 873619, 305581, 978214, 457946, 268564, 811898, 289984, 339365, 530812, 484082, 305612, 185401, 812418, 96092, 548512, 77968, 479111, 883343, 422445, 258702, 587104, 537177, 767274, 196105, 477231, 871052, 658735, 772725, 305328, 742606, 501378, 466075, 327556, 431743, 913737, 249655, 38278, 793548, 734838, 445435, 124486, 118314, 53353, 330940, 869791, 909041, 849509, 696331, 906183, 946713, 36629, 686944, 212463, 209248, 499677, 142485, 772211, 283157, 849650, 634393, 190430, 121131, 161383, 87571, 406947, 514975, 132523, 365890, 649720, 155004, 114128, 533361, 324361, 699833, 709027, 379394, 225368, 275905, 124787, 338788, 816308, 801441, 675758, 476131, 50945, 661977, 170221, 829269, 404424, 940193, 601314, 736507, 345583, 934705, 6428, 488916, 759412, 986790, 885451, 704823, 603698, 125887, 324340, 659030, 250221, 533123, 734180, 243653, 486413, 940165, 848111, 266974, 983234, 326285, 213652, 73893, 313920, 971511, 925425, 484115, 93058, 844222, 691238, 845506, 84067, 17685, 328867, 619852, 915502, 131503, 298957, 804908, 290233, 383303, 651621, 602520, 880515, 371367, 346453, 116906, 637717, 668236, 666051, 680825, 649912, 96839, 619247, 167935, 118109, 220871, 542904, 827031, 502812, 891254, 928143, 57542, 678743, 51181, 539365, 461102, 252477, 410962, 199943, 142656, 220460, 103491, 405830, 535756, 806711, 823749, 294745, 899155, 430049, 494351, 74897, 563609, 319509, 570796, 401444, 647448, 670447, 434691, 592784, 210289, 373465, 607156, 862628, 349072, 455073, 316285, 438821, 824130, 292007, 736163, 874182, 430189, 836136, 709801, 916472, 113396, 643040, 318552, 721486, 485711, 870193, 312388, 28801, 282866, 322768, 97311, 278645, 75938, 338903, 504680, 748095, 524119, 608913, 974622, 447788, 371177, 921485, 499556, 476248, 939003, 149727, 631483, 412566, 619828, 115989, 282609, 198946, 233268, 913687, 122444, 560591, 863219, 743770, 495478, 966645, 23359, 44878, 490074, 563615, 726683, 305364, 653963, 891777, 924436, 688380, 382140, 452525, 753872, 460952, 249079, 368583, 247038, 691844, 446472, 337322, 687819, 219323, 976296, 373836, 39973, 89024, 895909, 13604, 421670, 597670, 365525, 125289, 138334, 505441, 197911, 380311, 752614, 976157, 181436, 654452, 518207, 787278, 453017, 136899, 456660, 169540, 560531, 51077, 449712, 662648, 316449, 625656, 502243, 809506, 262026, 373550, 326460, 500707, 5043, 827388, 954917, 638035, 496373, 893274, 713790, 304673, 416698, 131881, 557043, 499151, 572343, 10553, 483817, 53099, 430692, 287731, 472837, 522465, 662916, 363771, 144724, 339688, 535202, 852769, 73773, 675862, 627917, 655462, 486988, 75468, 576613, 980683, 897330, 67007, 49027, 546265, 210368, 118496, 178242, 749568, 744390, 309131, 773333, 917922, 283911, 906504, 522935, 14854, 719286, 850497, 456328, 494160, 958685, 204042, 940101, 401069, 536203, 46804, 976315, 636258, 649448, 438380, 730359, 724385, 652424, 64902, 239916, 94416, 648644, 876228, 884681, 581506, 834432, 533549, 329040, 27769, 976336, 428336, 820444, 312024, 473680, 274968, 188214, 699671, 273382, 514574, 113890, 381499, 346941, 667064, 228628, 931150, 642438, 585803, 137242, 940301, 414765, 738514, 346397, 327280, 175144, 867361, 978177, 416906, 735227, 673467, 358361, 933583, 374490, 151357, 873193, 200760, 740972, 587074, 955666, 144561, 390687, 905871, 699053, 813472, 798358, 490659, 531905, 145636, 453894, 972623, 302154, 192320, 578813, 398910, 805865, 762755, 398297, 363526, 573743, 828285, 627185, 530278, 231567, 188645, 48471, 792701, 291884, 650690, 858739, 661523, 875818, 20337, 75764, 780962, 329028, 305871, 135527, 148935, 849080, 750718, 240362, 290206, 491510, 916017, 697557, 461699, 125522, 956750, 674633, 119249, 810344, 15613, 275036, 206926, 160265, 970991, 24913, 262894, 132633, 298132, 834140, 345877, 717057, 537305, 474039, 479458, 961073, 698735, 522838, 107122, 805100, 186018, 860554, 935446, 666758, 966060, 206353, 191881, 466735, 392084, 601926, 186974, 645991, 307579, 942100, 502391, 762112, 186876, 276864, 79468, 281726, 818784, 94521, 913959, 875602, 238607, 307292, 356020, 476903, 110449, 772092, 630166, 351175, 893186, 744832, 709657, 507764, 113336, 801636, 240939, 807184, 336097, 17465, 689945, 10802, 854313, 555686, 617482, 792902, 27489, 410786, 918948, 601923, 213140, 35726, 816196, 975899, 691992, 532383, 426629, 559134, 319227, 268268, 904594, 143716, 809274, 113113, 641781, 859839, 186063, 498889, 712183, 404534, 272009, 74195, 811389, 104000, 183586, 566984, 229622, 81878, 701561, 487392, 462045, 727485, 761654, 512752, 712851, 40657, 215879, 240830, 332745, 318927, 887739, 498382, 780917, 407468, 102850, 683446, 677239, 471945, 684427, 586067, 910815, 972559, 88096, 918209, 904919, 794727, 664423, 849052, 933809, 274965, 861333, 210172, 50732, 14023, 860919, 935472, 834254, 799210, 895122, 853819, 859472, 72455, 819284, 400374, 91558, 648484, 714504, 884018, 864932, 734653, 913521, 45886, 742848, 179869, 597122, 610164, 392558, 435274, 839891, 202195, 807420, 288624, 702402, 427005, 757007, 336246, 824154, 156410, 362593, 955907, 654271, 736408, 571401, 664849, 181930, 743966, 781535, 580191, 889351, 122087, 831961, 551126, 583236, 142371, 78839, 695662, 345743, 150275, 822940, 58894, 269475, 169275, 666448, 19850, 627598, 534094, 955338, 444288, 242718, 945226, 916458, 841786, 63859, 438102, 359493, 83416, 187734, 70655, 536478, 345660, 774271, 239583, 423932, 831959, 663261, 895611, 319363, 163772, 420056, 325905, 303545, 656391, 595101, 790865, 679562, 618363, 403308, 156423, 682003, 582131, 576956, 683416, 896136, 945770, 81186, 78231, 266390, 253698, 742537, 455462, 672707, 295464, 668983, 939110, 783705, 922863, 160580, 964583, 776220, 224937, 690895, 778923, 971761, 211865, 497835, 559801, 974676, 542866, 940852 ]
990,018
[ 684921, 39723, 672637, 911498, 318655, 410317, 719081, 902937, 586241, 900988, 799166, 428110, 461200, 750857, 628259, 276528, 32006, 459440, 470830, 296969, 781172, 44780, 129256, 103611, 861059, 722682, 279078, 952210, 661124, 764532, 352853, 255685, 479193, 175603, 318632, 599786, 28081, 30324, 325794, 697914, 119097, 622374, 952942, 108173, 387318, 478353, 59926, 320792, 357549, 359279, 672111, 686504, 931492, 939510, 472424, 214874, 926543, 507914, 415783, 336333, 140647, 59582, 758687, 336847, 423149, 391617, 359735, 715781, 154245, 62928, 491340, 917080, 828170, 125633, 362087, 881359, 670375, 423947, 524731, 213733, 123242, 871447, 92177, 254565, 694845, 630141, 495726, 715303, 139632, 46271, 947029, 749330, 774279, 640373, 776950, 8242, 620715, 441249, 779225, 720989, 506859, 549855, 253549, 270334, 172374, 684709, 397288, 196907, 191708, 579354, 121205, 326122, 185694, 900532, 354264, 938508, 656339, 819768, 548014, 898551, 349335, 185721, 6541, 928179, 68761, 943163, 711646, 527587, 616948, 698255, 859582, 394258, 82089, 266778, 574682, 804545, 354849, 92651, 932066, 613946, 717881, 572001, 445792, 771557, 380374, 132142, 668817, 528882, 194306, 910068, 546381, 173942, 454363, 80818, 880925, 513727, 433500, 912161, 331324, 36973, 143713, 796993, 189177, 768577, 514894, 84575, 384412, 886934, 296083, 396373, 929188, 1677, 574824, 217272, 457552, 764470, 478713, 399634, 33747, 93701, 343675, 507313, 960259, 345978, 42249, 977675, 975203, 527297, 332294, 695709, 855901, 344913, 559067, 40233, 139928, 816394, 915689, 902323, 345956, 844520, 111841, 9891, 410448, 181783, 149140, 532318, 81937, 479632, 877329, 509153, 281286, 64378, 602967, 199699, 203046, 396757, 809320, 351542, 154445, 418915, 644635, 841232, 478572, 69134, 407567, 799291, 801016, 53807, 706343, 381380, 648980, 547809, 162946, 397290, 258391, 565444, 35233, 207031, 353770, 258721, 406387, 877071, 737666, 146368, 65525, 190074, 746665, 788299, 157910, 451806, 516026, 687929, 734208, 513735, 472281, 43713, 692714, 733115, 677343, 594294, 90610, 521067, 495301, 905602, 137012, 158778, 697681, 253096, 600605, 763000, 980418, 289944, 319743, 983941, 485532, 629557, 145232, 480194, 842407, 403224, 334566, 301277, 910286, 716350, 535726, 583266, 65163, 311330, 657073, 423293, 461754, 488322, 602080, 577989, 599607, 449232, 954459, 351905, 77151, 246953, 104776, 226027, 384619, 100436, 174045, 210571, 168067, 263648, 642370, 703887, 122027, 921212, 373959, 35854, 626837, 500111, 333031, 295720, 472994, 613266, 785554, 674369, 81913, 185124, 702306, 541831, 101462, 699140, 428735, 532321, 761061, 506412, 309259, 775142, 147922, 411072, 934878, 409725, 738837, 179763, 918743, 764844, 247562, 482981, 620041, 538940, 737493, 897143, 4167, 87403, 180594, 318932, 881994, 71693, 586666, 147049, 302467, 11527, 675097, 494067, 932524, 74157, 186353, 867293, 684129, 62423, 735637, 296207, 660902, 657679, 487182, 799290, 94037, 693116, 558632, 578171, 342956, 78539, 932210, 509175, 701249, 801677, 539881, 889167, 622954, 914980, 919063, 781142, 37004, 531599, 604043, 590798, 186646, 29889, 5492, 634782, 808825, 636898, 337703, 101766, 571659, 11166, 653223, 691572, 162561, 432917, 150187, 739470, 22721, 693815, 154012, 608333, 522438, 888604, 94322, 983197, 116042, 135675, 252485, 53892, 826653, 556265, 937261, 204063, 33428, 193498, 486745, 937308, 133770, 385309, 136148, 804957, 500957, 920630, 544104, 447923, 302578, 367925, 878784, 709146, 870554, 844581, 684866, 640868, 229305, 545539, 387545, 820481, 779835, 947308, 520769, 111555, 958454, 241421, 220649, 63133, 166732, 649845, 776555, 650716, 805296, 116139, 663097, 73738, 292121, 902964, 306098, 986029, 909690, 284799, 206765, 411695, 358278, 811555, 220286, 402869, 206654, 431572, 535540, 150168, 954328, 709574, 923549, 505917, 277094, 424322, 152947, 448552, 88211, 147263, 270114, 458386, 123299, 628872, 866212, 199659, 186384, 505354, 364251, 73174, 311324, 96984, 912134, 931581, 265893, 738480, 762043, 514571, 426551, 979370, 286727, 18163, 951267, 674497, 956229, 627785, 611225, 271824, 655491, 448265, 311528, 971220, 917120, 159665, 864260, 518646, 291494, 237308, 356836, 844281, 648276, 271229, 911636, 781602, 726264, 113757, 978680, 50424, 692790, 551506, 260414, 239840, 717111, 102985, 618991, 625193, 250335, 377289, 129017, 506697, 439558, 303757, 858209, 883173, 534440, 554910, 513252, 430629, 884382, 685900, 544502, 629427, 458074, 404826, 128616, 918218, 881486, 590150, 55831, 915649, 718358, 414301, 334486, 191461, 781105, 923168, 815948, 786224, 223056, 228125, 553891, 547894, 233225, 926561, 211063, 155431, 511600, 327529, 454762, 283058, 877901, 795220, 764695, 920901, 470056, 443252, 728200, 297895, 461323, 110268, 498813, 149657, 606272, 648881, 442850, 93814, 140916, 632618, 893294, 158801, 395539, 568258, 719226, 468506, 894495, 612961, 976164, 290810, 289955, 542096, 36911, 114278, 427516, 222186, 794841, 119649, 317915, 956178, 231033, 97198, 943863, 61699, 535155, 106677, 929930, 158991, 705127, 853393, 838288, 802893, 798820, 489087, 332177, 136369, 470626, 699784, 469651, 274331, 557794, 95584, 126134, 293342, 569619, 66914, 524866, 540336, 139911, 759656, 907767, 656341, 871551, 567772, 376382, 417166, 273730, 146602, 105942, 367371, 305674, 150040, 687809, 936508, 508055, 522888, 75883, 166604, 144022, 236977, 238289, 679314, 450623, 969070, 838502, 335408, 972699, 672425, 280650, 186739, 385212, 399522, 15331, 259956, 359073, 575913, 399664, 662558, 603473, 116544, 268839, 109616, 576138, 385083, 252133, 127871, 343965, 291629, 288966, 87505, 572043, 287118, 690610, 89861, 210460, 243736, 837468, 723457, 444079, 709184, 577212, 957630, 337781, 127309, 653398, 243526, 564696, 107986, 734832, 118528, 389387, 46779, 904924, 214195, 349560, 608669, 107172, 301388, 165834, 6440, 426259, 269352, 892287, 910471, 598101, 788865, 570188, 234830, 841932, 386264, 595975, 635320, 693297, 962196, 282108, 758208, 349352, 256667, 875591, 673331, 596038, 655421, 353013, 21285, 7642, 216072, 524318, 460503, 940784, 179613, 187703, 405258, 398044, 972847, 655682, 746536, 944976, 280581, 742280, 634394, 148561, 349174, 390354, 908944, 135478, 64971, 845847, 855680, 361646, 596908, 851153, 871632, 184158, 5447, 585856, 139657, 277802, 582846, 631261, 142660, 455442, 444634, 755252, 84421, 533592, 896595, 67894, 379134, 769319, 678302, 776811, 635756, 532322, 600171, 893156, 179990, 16055, 183680, 893494, 23061, 32436, 511981, 844868, 35207, 626043, 219740, 749531, 633120, 338468, 314026, 915672, 603785, 822644, 11764, 670621, 932250, 800585, 825421, 142693, 662056, 852564, 409804, 18598, 728060, 256461, 850759, 757341, 514180, 934138, 219037, 190923, 29559, 75579, 929478, 361064, 395881, 257033, 685535, 95061, 381867, 216053, 478088, 20745, 513749, 357128, 649477, 537043, 928779, 698843, 707529, 70622, 230208, 427597, 720195, 750210, 311679, 938292, 60944, 911459, 596972, 422605, 28952, 374450, 451262, 206875, 937721, 416452, 250487, 402769, 49816, 337294, 408180, 106601, 171193, 943239, 490703, 338339, 953906, 527946, 559502, 459708, 935813, 312489, 977212, 508982, 476887, 714647, 420282, 359968, 335724, 14074, 254809, 11488, 829648, 256602, 711867, 430159, 771794, 163472, 933998, 587771, 40506, 627761, 250848, 72342, 470966, 44279, 644183, 390605, 300471, 963233, 207998, 591980, 108305, 174033, 792255, 10784, 893600, 663978, 875342, 199093, 119658, 364187, 842812, 889, 972532, 372609, 607329, 642978, 425550, 851323, 686542, 777573, 350090, 343964, 267589, 244382, 958376, 373724, 779327, 853696, 311563, 895714, 317695, 394854, 405860, 671911, 525545, 174036, 150834, 562529, 811607, 217826, 297281, 770372, 520881, 413850, 844736, 120712, 813094, 202689, 336648, 773349, 551754, 13292, 154865, 376041, 37978, 491456, 890728, 516008, 94341, 367612, 369812, 371584, 858806, 620704, 330432, 148532, 614120, 736581, 783261 ]
990,019
[ 320007, 24617, 224204, 779346, 390558, 151579, 850723, 393413, 934296, 71837, 166433, 644019, 459930, 381540, 437307, 729955, 610604, 649565, 236827, 314094, 759850, 836965, 714677, 608061, 58308, 56837, 660822, 22902, 150053, 975245, 745131, 879288, 748579, 117865, 961983, 759290, 274515, 411445, 300978, 894115, 635435, 77297, 538999, 436552, 166363, 179383, 191620, 670202, 42382, 840662, 768247, 270899, 841870, 60708, 654186, 556925, 231527, 304565, 140103, 224818, 16611, 938535, 379919, 509541, 989507, 701704, 12743, 677487, 447613, 542290, 194149, 451570, 797566, 103710, 870757, 453137, 599328, 561596, 556358, 580820, 394411, 156022, 540099, 943909, 754057, 257405, 562482, 641032, 589893, 264444, 834156, 478955, 565438, 648723, 820505, 211312, 142375, 510655, 758726, 928193, 87671, 330658, 557784, 763351, 271022, 403177, 67935, 531390, 170121, 534982, 850421, 595915, 911471, 75503, 836991, 380396, 394776, 42424, 645836, 706283, 379767, 417397, 944134, 105440, 179554, 660996, 137292, 765392, 306260, 784492, 157218, 977302, 142488, 396416, 326191, 317135, 23019, 753621, 732624, 742802, 559205, 486445, 396848, 760394, 405416, 488931, 160672, 352363, 32054, 760051, 56510, 709792, 275715, 395011, 455180, 731466, 615248, 220807, 788163, 156624, 665785, 105174, 829059, 477716, 623471, 374274, 933036, 775133, 876556, 638469, 606772, 862926, 297211, 81696, 953750, 724775, 899976, 573500, 114175, 892373, 717719, 428386, 404225, 687661, 330156, 912396, 82099, 751150, 352980, 641963, 108133, 910538, 876982, 498910, 400108, 235442, 445231, 438164, 671790, 549507, 270164, 337677, 866835, 388978, 394236, 144005, 612735, 887051, 444604, 154380, 359922, 466587, 861825, 431374, 522091, 601575, 484383, 609141, 876330, 123650, 64853, 636562, 71838, 226780, 768944, 738726, 152468, 412133, 773241, 504320, 354456, 792091, 751335, 237068, 164255, 931825, 930752, 932246, 130428, 952247, 316609, 925596, 480349, 754248, 222171, 920538, 157135, 387649, 464318, 310986, 749434, 667462, 241612, 833157, 425617, 905342, 386869, 687988, 379712, 770750, 608916, 546153, 451313, 634091, 142717, 483081, 621104, 368875, 79030, 264066, 462563, 851938, 587718, 310965, 426887, 475623, 983141, 312275, 4802, 540881, 452555, 855824, 749306, 235036, 217405, 678758, 248339, 76400, 176589, 896015, 623215, 298223, 356420, 481314, 949384, 790470, 431899, 869979, 107275, 956479, 577728, 413239, 780567, 452150, 874484, 738763, 529781, 495557, 63513, 620629, 373161, 555567, 529203, 105775, 574925, 879201, 33455, 720238, 370463, 40912, 7774, 128826, 508379, 106895, 451615, 440897, 882903, 418457, 248382, 717487, 278460, 713885, 960322, 848336, 669981, 171664, 805107, 722826, 807693, 101329, 173387, 616473, 785045, 50813, 353519, 400067, 244793, 48734, 65569, 754805, 304280, 324387, 853755, 648226, 859875, 555497, 877340, 667425, 563888, 218616, 288054, 898360, 972338, 553555, 314728, 14611, 316005, 857710, 909550, 200003, 237215, 483158, 934216, 528830, 49342, 652823, 761693, 496350, 306276, 624459, 434660, 231376, 566991, 450286, 109677, 553299, 492674, 358773, 389650, 925823, 848164, 562821, 905142, 812197, 474167, 980333, 508545, 147811, 598066, 633213, 177191, 268104, 785683, 419495, 299369, 34794, 222840, 946817, 518104, 384930, 75634, 690024, 261443, 716093, 749127, 806774, 821337, 47620, 253310, 621190, 448114, 424812, 698524, 860152, 322924, 463065, 302989, 473426, 73355, 939715, 194216, 647463, 99909, 924145, 18629, 246271, 104189, 525437, 244439, 511273, 540480, 671104, 364726, 933762, 872260, 915014, 870209, 866850, 848360, 906638, 375447, 474471, 904243, 896045, 525318, 232436, 125466, 36454, 755418, 803901, 39806, 10912, 341899, 811207, 210751, 398520, 616484, 389929, 931867, 44168, 821880, 930971, 82302, 583905, 294040, 922502, 804814, 48886, 584000, 736145, 885304, 135474, 661958, 110946, 454308, 754739, 157393, 711736, 801730, 162081, 305167, 404441, 205994, 604212, 733263, 555601, 102992, 437725, 364235, 511504, 829420, 869401, 794251, 225662, 963756, 242165, 932875, 88208, 919913, 884811, 446698, 244418, 316938, 260001, 265831, 180925, 26916, 883751, 181676, 714145, 429982, 215286, 918834, 410981, 694441, 866175, 667668, 325821, 727809, 449703, 261520, 929558, 787533, 662180, 107965, 622526, 219990, 28267, 427353, 312881, 140399, 778331, 38547, 426277, 911758, 822504, 258334, 481712, 3356, 413934, 658965, 109875, 591214, 686576, 363531, 108243, 297323, 582364, 598743, 182119, 237795, 32858, 4057, 657842, 641140, 769063, 35774, 798609, 267984, 110804, 391191, 795105, 188942, 959839, 472940, 180648, 179008, 639779, 306692, 595246, 277009, 922306, 966665, 727134, 325318, 605158, 504686, 22967, 438007, 105688, 304009, 824059, 340917, 131459, 720528, 159633, 227311, 773060, 489778, 777160, 708900, 781132, 783500, 578510, 725268, 874259, 223993, 269292, 600389, 374611, 92445, 951043, 455712, 647087, 963651, 361096, 620054, 46391, 759496, 33131, 225381, 39673, 318000, 811352, 72164, 741421, 914224, 605575, 185054, 832580, 53456, 919480, 299347, 312252, 291416, 366600, 939000, 618703, 491606, 145724, 594726, 219623, 54790, 181190, 713800, 144892, 356695, 652841, 834780, 661645, 45049, 684883, 369125, 299821, 608096, 141256, 412855, 145906, 309203, 234858, 537786, 765126, 306144, 849305, 391238, 319730, 937635, 573028, 290734, 109775, 211751, 532822, 164806, 273050, 545707, 592951, 149646, 94998, 733351, 644663, 459346, 761530, 761778, 146568, 606332, 286837, 847789, 974356, 392068, 781599, 204058, 322691, 227368, 838144, 359025, 494716, 499226, 755502, 553155, 34698, 417022, 484847, 276616, 709605, 543983, 24319, 729538, 131682, 281879, 958413, 933997, 35033, 231265, 777447, 640155, 81987, 710548, 827714, 945349, 157707, 97317, 966727, 844587, 799055, 611091, 365277, 294929, 410444, 345945, 397068, 327702, 871061, 829934, 242531, 906879, 579005, 350305, 556946, 696444, 746732, 658039, 925513, 939606, 648909, 598175, 543745, 939027, 854379, 818703, 204653, 297271, 541442, 43563, 809636, 52582, 908171, 561750, 364665, 653497, 67746, 133712, 798827, 269433, 563336, 114696, 605957, 19934, 388562, 981492, 57030, 693627, 224488, 344468, 278004, 810998, 862777, 389845, 182755, 594015, 356624, 32455, 872588, 845936, 195441, 514523, 173748, 99305, 562676, 528566, 962319, 481527, 512345, 744417, 268077, 757240, 706210, 769103, 475333, 563110, 177751, 747964, 115832, 364097, 749405, 186979, 30229, 807087, 730538, 620630, 931028, 973203, 97665, 866082, 735694, 186680, 447140, 204213, 825120, 52705, 726347, 912596, 716346, 720934, 475473, 932435, 319715, 965361, 748369, 413346, 510595, 106227, 755479, 961690, 62846, 761928, 273658, 627345, 225009, 757962, 71005, 179535, 357586, 41715, 527060, 972410, 404369, 124438, 139780, 346553, 928343, 680865, 291554, 124005, 957655, 861934, 380517, 585347, 772314, 744165, 225067, 830921, 696980, 453184, 911637, 160280, 587540, 941179, 681017, 728676, 309946, 571824, 196498, 135246, 52770, 553563, 211152, 627591, 385266, 808326, 328572, 664538, 122019, 976292, 531715, 141246, 566652, 562301, 368555, 936599, 264651, 259344, 661689, 29551, 382709, 157933, 312422, 522781, 127893, 60985, 828714, 941910, 324116, 472162, 746131, 275055, 417038, 895409, 496147, 732600, 498210, 740220, 871346, 417029, 808449, 989176, 962948, 294471, 577831, 324656, 546641, 879119, 622205, 755964, 735706, 155442, 637925, 846927, 225791, 632686, 258032, 842380, 639662, 464180, 467899, 483650, 277715, 719169, 766280, 212762, 37872, 802387, 785462, 860876, 797401, 214672, 610988, 9010, 972131, 311497, 444522, 729417, 962628, 972378, 3297, 988482, 383892, 82911, 881226, 422776, 918664, 505902, 812340, 805355, 763965, 626007, 238253, 987048, 98905, 83650, 773533, 525473, 253342, 831943, 466486, 326475, 302099, 217511, 135458, 372965, 569422, 584365, 108234, 558588, 971628, 151424, 136234, 909762, 21882, 202035, 216139, 968754, 649549, 430501, 854345, 418827, 465733, 738848, 265461, 925803, 318061 ]
990,020
[ 20386, 199179, 248128, 75649, 796888, 340485, 982986, 893093, 323072, 929482, 184435, 524555, 817116, 793658, 176303, 20070, 394984, 108493, 415849, 649361, 199393, 551199, 478179, 706183, 167428, 231890, 172917, 876277, 16109, 568883, 917022, 683841, 284889, 477957, 564731, 86147, 675608, 334248, 563179, 816702, 884212, 587002, 306029, 222949, 974959, 742368, 144464, 717306, 604841, 56754, 366507, 551605, 661894, 328710, 923897, 95954, 973258, 190125, 162217, 975881, 847086, 882880, 491311, 412873, 186836, 53498, 375345, 623918, 488954, 899561, 565730, 602951, 614632, 252444, 286497, 182690, 770847, 891920, 494661, 17439, 891138, 576456, 571177, 493462, 725173, 947242, 180637, 642768, 540722, 689248, 509586, 130270, 365216, 959574, 21607, 512764, 237046, 684198, 616199, 227965, 766908, 555568, 966964, 944356, 458802, 25089, 964062, 587155, 764121, 162476, 418365, 335284, 512121, 800842, 235514, 397845, 361914, 5321, 633929, 328247, 844959, 297790, 215711, 850519, 330261, 628291, 94415, 743743, 463456, 764610, 966895, 786022, 39590, 547213, 457962, 497238, 216360, 293966, 553632, 596115, 48662, 462450, 706371, 840438, 417006, 692428, 420077, 702175, 815384, 669951, 928412, 370950, 899271, 919777, 539467, 920903, 201318, 926126, 848895, 171851, 497196, 656303, 756499, 192573, 170813, 782850, 704423, 360108, 245159, 722909, 352591, 284227, 230141, 43459, 857344, 422345, 776264, 2769, 599959, 167286, 327375, 706207, 948966, 434159, 3824, 297188, 816176, 411318, 404936, 354477, 764785, 389960, 720652, 685381, 740305, 483334, 5221, 123454, 233151, 660910, 939667, 222742, 248941, 35218, 287982, 372113, 249533, 16736, 51516, 437367, 446040, 953603, 184448, 781944, 553025, 615103, 905965, 136918, 725782, 697922, 146284, 67901, 149703, 672471, 427566, 676162, 800216, 351488, 689352, 717859, 911576, 595937, 432564, 757918, 210955, 257890, 665126, 819412, 559901, 809498, 381425, 485715, 788454, 758708, 807997, 874856, 364422, 287082, 122240, 28664, 649040, 333453, 884636, 895160, 416934, 389034, 729653, 163921, 771468, 73003, 251142, 158599, 234354, 419661, 31446, 699529, 418503, 728377, 180543, 988889, 58164, 193493, 263860, 666818, 259885, 187286, 470091, 916789, 506414, 227898, 473344, 103920, 401206, 527261, 752471, 136201, 347009, 407437, 716869, 289836, 763773, 461731, 487351, 876259, 794241, 735858, 970067, 388560, 870875, 213426, 166202, 329412, 876723, 661132, 976721, 22739, 232516, 375800, 500864, 187049, 465787, 775032, 35942, 952816, 607132, 391205, 110504, 145975, 300476, 108673, 815106, 638227, 738933, 258651, 468754, 324012, 225920, 453748, 73501, 591138, 593685, 635482, 470350, 851327, 630105, 910982, 359545, 976910, 691226, 325181, 677503, 61756, 427072, 463042, 256550, 183789, 432780, 86792, 410431, 220956, 886400, 494885, 552617, 404029, 131494, 943135, 796609, 301768, 808922, 724220, 641850, 10871, 346418, 257806, 422628, 104564, 525699, 722658, 119452, 929137, 694654, 39536, 642815, 890777, 903190, 317922, 247854, 141141, 536637, 385040, 781350, 980775, 278740, 340265, 230996, 531153, 811355, 565189, 203362, 333231, 769706, 461978, 597588, 827962, 128860, 732428, 191358, 148394, 874085, 92467, 801398, 453506, 341760, 458378, 888061, 88922, 219032, 556281, 239487, 10295, 502048, 621460, 735909, 200203, 571413, 314217, 207890, 799385, 354797, 208522, 743893, 382047, 147360, 814461, 402197, 280227, 485784, 411283, 471417, 833413, 299537, 954572, 682277, 577065, 296951, 338311, 296113, 287339, 892714, 413870, 169146, 940139, 285359, 69115, 931613, 576022, 828819, 901436, 72076, 697716, 228743, 761697, 944446, 812191, 638612, 652687, 826602, 880380, 645532, 269656, 232800, 646936, 804344, 795992, 364822, 296079, 152689, 67375, 174004, 864052, 491689, 941320, 679570, 341697, 781887, 353661, 335479, 419796, 164910, 3801, 962623, 377355, 812646, 589457, 764032, 116879, 219898, 481178, 788297, 447913, 265620, 467748, 677430, 53092, 889780, 525916, 180064, 887215, 884312, 571259, 224236, 957279, 342107, 967210, 973108, 574843, 909587, 99495, 601198, 807119, 335276, 853013, 708382, 902217, 123643, 532063, 526589, 247830, 387446, 656011, 318918, 245201, 157782, 746282, 924550, 137351, 920790, 879765, 618974, 592143, 130172, 484271, 861250, 60788, 751303, 656929, 841071, 614539, 938302, 582027, 91827, 813051, 41055, 684515, 218173, 916887, 98150, 60827, 809386, 585087, 735321, 869026, 584180, 262282, 216806, 70115, 99003, 822454, 52678, 986550, 546674, 559567, 444005, 298932, 886371, 849758, 180703, 756513, 459416, 926892, 778114, 391144, 220782, 976713, 18775, 216116, 662370, 763065, 246436, 86372, 542865, 271115, 552315, 346862, 906788, 279846, 938345, 460309, 314112, 824552, 148417, 756703, 223457, 763165, 851871, 665085, 608141, 82509, 158176, 275602, 225922, 657624, 916860, 848988, 128582, 300549, 890102, 313720, 646761, 190709, 819736, 365619, 304106, 482443, 332909, 875723, 351672, 640775, 956863, 988223, 206590, 117823, 719681, 31375, 526022, 378553, 838486, 602142, 807606, 406320, 343945, 497687, 816388, 903765, 921552, 736591, 637578, 148161, 72817, 729385, 827509, 882758, 697515, 871627, 932335, 405327, 302349, 169039, 892376, 107411, 299737, 820315, 246427, 26868, 118454, 626487, 197377, 108693, 933994, 814235, 513058, 339870, 468848, 387955, 436127, 26343, 556874, 128460, 845527, 40416, 33329, 760522, 794798, 601307, 827745, 966970, 794339, 200745, 44203, 858216, 599391, 785128, 348813, 254044, 126818, 74137, 662742, 452881, 466615, 728379, 3276, 593585, 209303, 339183, 52200, 238265, 361036, 131050, 547749, 610592, 414455, 133521, 448206, 630874, 580693, 611673, 628178, 42663, 198151, 340983, 150811, 653119, 119335, 859402, 812558, 621960, 636633, 258581, 53178, 507646, 622964, 231855, 517225, 864282, 379515, 515743, 625124, 926522, 76750, 338635, 194343, 380835, 905052, 365612, 247580, 452428, 556003, 845080, 41874, 154309, 126652, 586641, 188636, 278171, 478229, 396563, 912562, 784399, 846869, 684218, 880413, 954755, 492665, 878861, 362520, 426483, 129803, 233399, 385358, 272829, 321229, 477032, 256061, 137542, 542996, 364198, 344834, 569126, 619032, 47457, 413133, 130994, 728738, 185593, 592964, 282228, 741275, 944395, 351658, 983168, 353595, 952097, 283660, 632214, 560093, 284326, 669270, 757785, 98189, 699553, 964456, 601620, 140106, 410487, 53791, 911706, 837023, 175664, 748594, 222897, 611743, 707105, 771041, 695278, 915404, 718277, 391783, 866146, 405968, 630464, 813680, 529446, 142818, 358228, 53029, 934659, 117959, 188268, 583511, 412503, 632996, 833545, 555562, 54688, 158000, 174111, 367104, 264141, 686983, 721254, 36103, 784699, 58944, 634873, 904369, 850395, 219893, 847083, 415395, 265213, 71737, 970287, 269228, 436369, 884278, 458922, 140831, 727656, 439428, 525036, 735792, 16630, 487269, 807473, 504035, 246882, 375176, 629556, 309670, 650995, 271558, 703456, 880701, 915608, 894189, 391804, 560962, 702559, 93897, 629839, 148272, 172636, 102986, 308864, 178850, 640880, 793099, 331343, 90217, 404691, 339200, 625925, 795845, 748254, 110890, 428505, 632396, 510690, 308783, 526484, 46985, 258411, 472728, 791925, 676536, 187423, 875487, 653233, 819416, 164555, 779607, 856764, 797188, 85266, 838424, 455174, 213861, 942525, 779943, 289467, 617391, 806059, 142112, 60275, 729751, 312702, 862303, 186179, 423083, 733146, 312479, 548144, 391886, 14686, 16367, 250459, 852349, 241230, 798737, 9297, 869268, 358790, 805215, 281745, 970811, 55444, 90658, 329992, 979894, 369494, 952019, 391192, 401628, 590847, 613396, 888282, 482205, 975450, 784892, 455603, 718227, 940067, 238268, 826341, 33346, 838097, 623899, 243770, 979060, 557685, 228362, 679497, 764992, 759953, 265343, 968821, 820784, 981510, 698581, 545016, 186448, 422333, 641483, 633320, 364261, 327665, 348166, 624593, 619103, 22464, 938738, 937743, 715911, 291168, 1328, 621662, 35613, 28067, 440009, 313226, 913309, 588769, 553346, 322105, 468522, 608382, 361473, 188659, 341282, 829559 ]
990,021
[ 252266, 51747, 541066, 749300, 385712, 866262, 767825, 142940, 638509, 752340, 692805, 891158, 351887, 111754, 759421, 724545, 313526, 687778, 291674, 716768, 198362, 327232, 441731, 849627, 466491, 469152, 204784, 589586, 877882, 586208, 656116, 70270, 777719, 678329, 426287, 923781, 918261, 886357, 121997, 325059, 825878, 31813, 976530, 79166, 547318, 271010, 527369, 140253, 954973, 763462, 388733, 300724, 181583, 406920, 681248, 915523, 107889, 689347, 589401, 422857, 427882, 500426, 631062, 808351, 705333, 590516, 989610, 764737, 680972, 41551, 229865, 356189, 316549, 797808, 380319, 191387, 777790, 700828, 644784, 668494, 416127, 843854, 268822, 797882, 312770, 76512, 139907, 398515, 890446, 699294, 906555, 811975, 445835, 800143, 885197, 136043, 250735, 355413, 347692, 41464, 936725, 572671, 931784, 3072, 134050, 723920, 743993, 918445, 965115, 58475, 169427, 764856, 689328, 630259, 436600, 708987, 83928, 768623, 156671, 147562, 829972, 275450, 251297, 956740, 684174, 558176, 671033, 664536, 133779, 965173, 638558, 817896, 642383, 210509, 34456, 510868, 917023, 728916, 907360, 524609, 930110, 713743, 313895, 746461, 762179, 323406, 345075, 845378, 317660, 765233, 559393, 517715, 299768, 369182, 957578, 330576, 369472, 930431, 871870, 149202, 213494, 760939, 111664, 769337, 21933, 127636, 372091, 243054, 706246, 115731, 211414, 535272, 521844, 770197, 659223, 180757, 948379, 422421, 349162, 225267, 18036, 264672, 131387, 889209, 973437, 945382, 833748, 896391, 236573, 114171, 289182, 272300, 266709, 664975, 120850, 24119, 94728, 119065, 141191, 225236, 700236, 466130, 290595, 53571, 625906, 187935, 900922, 332507, 706046, 40380, 757133, 252064, 726079, 325841, 868312, 63022, 125480, 842925, 121258, 30069, 533097, 358524, 813747, 941894, 198479, 481922, 335818, 339167, 722804, 314645, 440676, 866481, 737044, 223667, 212874, 889878, 168018, 517529, 48582, 514873, 308125, 757739, 901276, 360316, 59365, 530772, 80564, 765162, 162965, 399034, 390945, 804599, 54016, 459112, 435064, 849798, 681009, 487147, 767868, 384024, 188585, 686075, 337010, 417599, 478822, 876236, 24626, 823241, 605784, 472262, 977076, 114100, 21044, 10273, 870602, 721128, 537943, 63912, 330387, 462108, 711936, 82879, 814563, 531035, 360695, 837399, 977617, 332579, 781147, 290450, 13378, 138433, 432969, 221383, 492645, 736183, 553305, 904525, 980243, 987253, 842496, 480952, 58317, 183664, 129454, 447880, 706763, 435375, 588216, 634008, 366567, 255450, 190955, 396127, 964545, 981052, 265199, 630797, 600944, 73568, 276566, 557198, 227360, 892603, 251621, 748436, 777535, 547781, 300468, 5413, 911826, 543984, 156390, 164929, 283070, 109212, 666578, 314263, 828664, 238992, 740084, 635307, 750990, 452623, 7674, 432018, 326711, 273810, 309308, 372153, 239843, 892710, 163475, 975179, 843675, 110539, 886130, 304250, 394845, 584788, 736694, 721671, 514027, 421644, 913168, 490963, 710135, 906207, 894455, 878425, 184916, 729384, 679599, 432857, 357310, 658031, 583952, 669124, 772028, 574853, 936451, 225056, 35681, 717351, 462659, 453997, 15676, 29949, 18539, 718472, 804693, 863986, 392995, 796033, 709318, 38716, 740457, 673898, 727066, 596270, 129584, 638583, 189951, 418594, 20067, 607301, 747959, 979522, 270982, 728381, 237590, 714364, 838494, 144126, 936289, 749239, 187139, 248662, 633795, 360256, 208106, 117693, 28557, 316226, 794773, 46220, 548075, 417295, 480198, 651226, 237792, 222592, 6492, 977325, 628132, 492528, 808060, 508127, 326011, 309794, 725852, 301469, 538660, 474907, 929498, 175432, 360306, 523698, 475146, 91876, 552484, 966647, 765951, 956109, 899431, 719556, 665232, 4038, 141194, 720926, 27977, 956764, 372418, 610796, 843823, 292784, 643195, 564887, 160956, 420101, 639905, 10709, 768139, 950234, 523182, 38202, 65894, 873290, 137872, 853226, 850197, 33852, 691008, 360181, 375871, 788812, 499338, 288696, 536673, 563635, 700116, 802134, 68887, 711615, 244896, 487407, 228436, 748897, 231689, 147031, 722309, 143857, 407050, 962287, 791544, 221886, 919456, 353483, 396913, 225950, 191817, 143642, 109707, 801182, 91560, 936919, 389579, 643723, 292436, 598193, 272236, 225333, 373977, 348821, 217102, 562756, 608331, 74042, 569803, 370788, 602515, 671992, 423740, 535032, 976402, 654883, 714869, 188407, 676836, 732910, 630301, 249396, 63278, 9833, 677780, 828010, 816507, 194081, 615435, 314705, 915144, 593167, 844493, 149932, 480012, 320599, 976350, 206845, 305459, 612676, 897587, 752912, 574975, 639036, 974873, 333459, 719446, 788280, 875505, 596917, 899301, 491148, 788350, 30251, 121070, 158347, 532262, 861585, 795889, 614979, 400292, 722532, 521065, 436055, 285612, 895129, 783648, 271821, 536590, 735676, 924743, 485822, 510618, 864967, 728951, 686603, 771130, 354097, 417743, 338576, 685988, 760968, 760953, 488970, 448199, 682794, 174921, 188090, 889774, 689221, 702604, 522927, 945776, 185458, 136849, 22122, 438791, 670521, 492717, 241151, 102716, 385982, 66445, 411473, 699461, 274134, 594082, 162088, 768961, 973629, 469513, 22717, 289019, 661166, 276938, 926214, 96910, 670950, 68349, 822886, 684157, 205499, 174388, 826965, 603130, 238157, 424833, 571668, 879893, 42577, 300915, 843855, 857034, 329246, 764083, 179288, 950682, 517620, 133787, 831823, 350877, 733413, 552568, 50651, 621176, 412281, 573066, 481962, 692954, 668371, 569659, 130816, 674658, 658047, 720669, 592697, 153532, 815067, 16541, 678526, 727983, 488448, 144961, 927718, 90149, 973929, 112010, 66786, 973617, 752849, 361835, 908862, 886297, 936148, 754543, 890425, 327991, 251598, 877653, 563014, 45355, 164900, 299803, 659749, 55836, 505971, 338602, 952711, 557661, 244438, 654024, 946977, 11173, 949240, 252606, 896885, 113458, 39597, 776662, 404655, 675472, 822727, 589450, 719784, 686259, 127716, 474069, 409946, 542116, 565568, 164087, 285493, 653614, 274973, 132004, 718205, 869838, 180053, 723010, 934181, 686993, 736718, 88826, 774436, 486616, 89008, 232874, 753468, 86506, 211104, 885706, 823423, 730588, 383596, 892817, 854961, 420288, 986302, 383114, 353802, 959404, 529190, 588901, 139187, 804289, 165207, 138762, 237752, 208354, 247308, 1532, 824653, 603370, 340482, 178139, 909582, 35911, 64824, 275881, 568269, 729657, 565600, 890713, 503525, 220225, 930822, 668190, 265012, 98313, 859101, 666978, 620771, 934576, 157826, 645169, 95825, 200194, 699267, 639204, 75502, 171438, 472982, 475439, 545317, 312631, 771439, 972449, 828126, 804227, 135852, 420004, 255662, 260879, 987064, 384192, 174391, 260266, 710732, 560823, 335857, 262129, 788284, 708568, 841168, 323973, 752513, 281456, 60565, 348935, 14976, 422389, 660634, 575579, 856614, 694048, 933883, 670269, 179883, 51487, 556543, 321016, 423693, 355389, 426696, 516313, 864783, 715364, 539670, 451320, 153123, 733494, 923392, 222926, 336473, 648412, 325351, 502506, 698801, 309494, 928022, 643154, 242840, 899285, 466239, 270435, 60605, 837452, 35568, 947937, 268915, 451607, 83499, 44517, 339572, 5822, 887588, 819628, 491709, 141237, 980029, 666977, 453489, 676705, 222630, 969645, 6785, 913170, 810860, 905047, 131608, 738790, 856148, 348824, 423116, 879303, 358493, 445794, 114168, 59939, 968241, 99439, 472948, 725429, 689383, 107428, 293783, 331602, 792980, 118232, 882167, 379358, 331995, 94932, 154031, 130005, 754203, 763280, 763541, 930270, 764542, 570017, 418511, 778999, 985455, 979014, 810461, 21677, 283500, 838577, 95787, 415306, 413728, 48709, 222082, 734073, 964607, 161494, 906655, 708625, 430505, 188525, 921319, 177663, 834979, 186296, 954352, 423597, 109661, 913749, 891173, 21715, 373459, 179362, 955603, 150773, 758206, 904081, 519047, 968528, 53567, 127985, 98818, 312662, 637920, 650700, 398019, 257093, 923710, 516518, 430855, 276400, 368425, 710407, 167480, 852180, 713529, 800331, 763396, 13110, 721341, 857486, 101086, 175634, 308961, 663122, 706280, 466019, 852402, 862109, 241848, 207271, 132007, 906814, 326065, 118574, 106284, 947161, 434600, 518193, 729224 ]
990,022
[ 648835, 953530, 901209, 269376, 61675, 611743, 82885, 551908, 524536, 688344, 231564, 74176, 166066, 193251, 314217, 200598, 39328, 804582, 344379, 435551, 252944, 504549, 871277, 702443, 708809, 140336, 622223, 770877, 473518, 601852, 693833, 267890, 330551, 575397, 152458, 76292, 862739, 763640, 953028, 600169, 796014, 697922, 950407, 748628, 53092, 341839, 858608, 565501, 515286, 337041, 196004, 70923, 32822, 283074, 296897, 57358, 583787, 390163, 205650, 271534, 59784, 238268, 555393, 4185, 371731, 607142, 587929, 133509, 963430, 618896, 907070, 799258, 320797, 288314, 379364, 478738, 95954, 624551, 687423, 971541, 253028, 251151, 740880, 530382, 563457, 893810, 361557, 207152, 728644, 489256, 531260, 1537, 677519, 914120, 387034, 449354, 790780, 529811, 597593, 747800, 732409, 713797, 243056, 621812, 736079, 1495, 587648, 395156, 50738, 906203, 546137, 164734, 960675, 743659, 764483, 153327, 280843, 230702, 290222, 848895, 39703, 108506, 876132, 171311, 80578, 512839, 352206, 645955, 785785, 269923, 627681, 797962, 957051, 125894, 677913, 634640, 333211, 594436, 736728, 921226, 448947, 754008, 867145, 435, 758692, 61713, 397287, 120235, 944843, 894119, 149877, 354132, 641688, 197419, 28792, 186079, 431603, 610959, 683851, 483205, 936206, 826647, 215807, 47169, 770021, 536135, 382257, 782924, 62073, 483177, 311672, 194630, 80659, 607904, 758663, 600331, 633738, 252742, 265394, 650240, 681793, 230077, 833522, 38106, 853249, 868172, 276794, 900547, 25686, 569044, 383803, 151841, 613934, 704758, 506736, 805670, 814065, 191504, 199519, 610923, 871139, 730830, 194343, 342784, 635870, 328288, 952655, 954412, 68295, 430944, 219822, 809735, 162085, 508476, 141972, 636845, 604456, 948721, 457343, 748513, 633271, 781944, 340436, 480502, 968860, 562617, 398648, 469222, 355208, 611973, 733847, 370416, 416823, 472362, 230216, 495051, 899043, 428377, 700115, 9104, 250353, 947857, 612042, 316793, 853811, 550459, 945005, 692250, 525853, 665264, 535826, 911772, 39023, 413301, 891298, 742591, 88749, 202071, 220330, 10549, 398377, 718632, 948738, 213867, 446901, 607288, 692005, 354520, 692710, 262875, 941155, 661569, 635907, 46906, 408661, 321524, 364022, 475086, 776224, 6495, 988472, 400229, 884506, 726251, 539439, 375086, 76675, 387913, 265213, 576666, 313750, 393314, 147919, 779227, 96708, 406153, 147678, 392032, 178609, 391278, 42530, 131845, 513376, 280348, 517078, 431473, 311262, 666575, 543973, 114256, 118868, 451820, 304460, 556677, 288086, 80860, 431938, 731785, 302280, 272553, 531310, 462720, 193821, 200410, 889724, 708766, 569015, 361298, 699553, 567765, 552258, 675372, 348206, 671412, 61489, 378607, 829620, 289651, 309391, 505994, 388516, 908746, 684815, 829783, 223685, 700620, 166317, 526920, 39628, 489841, 754076, 660157, 555683, 481554, 741116, 975704, 37963, 38037, 527701, 826801, 695643, 445057, 444499, 500578, 889535, 115859, 303847, 832706, 897273, 192028, 201357, 960032, 253676, 635183, 189277, 651080, 355878, 873213, 737653, 439615, 923198, 193813, 465285, 729924, 83296, 251233, 48662, 911025, 42442, 506349, 801290, 793080, 225582, 145834, 538268, 708955, 141298, 910655, 862976, 967584, 395695, 146649, 184, 401429, 443682, 178214, 623161, 911475, 200581, 805055, 428870, 347064, 104611, 888061, 344883, 799575, 247830, 118236, 878003, 599782, 597942, 439047, 262922, 75567, 78894, 805675, 518476, 420643, 662922, 869983, 954844, 840842, 353798, 334255, 671159, 7612, 632588, 172435, 543643, 591360, 134539, 489248, 15990, 813313, 915941, 676388, 892879, 290664, 985838, 350335, 44638, 872485, 477939, 790432, 382170, 108952, 371274, 54688, 660171, 446139, 563869, 524674, 131874, 630909, 440402, 426013, 477619, 659814, 390036, 449545, 274845, 270493, 711949, 880046, 285626, 241494, 281532, 183846, 14743, 396208, 189467, 309354, 271809, 714428, 62944, 905463, 536369, 561494, 110403, 341187, 623123, 546626, 756703, 501572, 533771, 344324, 381724, 824552, 685806, 22083, 71144, 486958, 786973, 719194, 149413, 69029, 434234, 708964, 401978, 523450, 599923, 580788, 697607, 42693, 581143, 846172, 834807, 410100, 690876, 28148, 923839, 727124, 620167, 626089, 331293, 551655, 548115, 233830, 847018, 970067, 392529, 134397, 437427, 153991, 538535, 290232, 928244, 191888, 558749, 601831, 298932, 189047, 325065, 782163, 979365, 535634, 129058, 420450, 313284, 708519, 45175, 795822, 378102, 37709, 132751, 665957, 281096, 315536, 963062, 673511, 500173, 759066, 687379, 930614, 220159, 427187, 106456, 163962, 963096, 181359, 585798, 457791, 519770, 11601, 357823, 852043, 92508, 879129, 216706, 984505, 777181, 7273, 280126, 36837, 213402, 21147, 532277, 55606, 52676, 560483, 472619, 964604, 361044, 612349, 279392, 80791, 913276, 937371, 90817, 449207, 511490, 443815, 603714, 636091, 865797, 822867, 503869, 819632, 642755, 976597, 751584, 272766, 419043, 844390, 800658, 816335, 209011, 368373, 104649, 169568, 38651, 426200, 631052, 580625, 612189, 585204, 465701, 51468, 141556, 511763, 731830, 319575, 61950, 253963, 873493, 427350, 692474, 101358, 178520, 466794, 183451, 593861, 187111, 496121, 260502, 599678, 777008, 392127, 559590, 403148, 197855, 970578, 957826, 206144, 843895, 364169, 298745, 38701, 549361, 832315, 978394, 92001, 190838, 18951, 673387, 885807, 772971, 246436, 906356, 152915, 962435, 592168, 318688, 721392, 285903, 490190, 952128, 921401, 120555, 900910, 180144, 144142, 811302, 32100, 582115, 297792, 940779, 89382, 125252, 279395, 968429, 434442, 15716, 236171, 388907, 965813, 883953, 456495, 469638, 861955, 690740, 974220, 410825, 845982, 197825, 36760, 111901, 246516, 390151, 675262, 558781, 949859, 835259, 528277, 35131, 989896, 324889, 821745, 68734, 701016, 659960, 331385, 729822, 352649, 915404, 158545, 779407, 616197, 344656, 238645, 739698, 274363, 928119, 336931, 172574, 396768, 900593, 544744, 24316, 689558, 130878, 777234, 763778, 447355, 648832, 698480, 157317, 773774, 325566, 447780, 783336, 616732, 13159, 491069, 405180, 473278, 590315, 813953, 722683, 803286, 254215, 372700, 462739, 792070, 691004, 142786, 17005, 475039, 812078, 341282, 554202, 203467, 363204, 376180, 272268, 815592, 169473, 832062, 836674, 527486, 661132, 570453, 312479, 331553, 677365, 862169, 71065, 32881, 674393, 458658, 751913, 966615, 400246, 196549, 11641, 452476, 328692, 951141, 696100, 976263, 728205, 962431, 739513, 435281, 212671, 342396, 750805, 321116, 371157, 613082, 260915, 673838, 475791, 125913, 14237, 945500, 944558, 950126, 110831, 158270, 855375, 358771, 925267, 19088, 405896, 800874, 800767, 930272, 968821, 544388, 148394, 382219, 668143, 253238, 354332, 89281, 869057, 721943, 291997, 92434, 730476, 604809, 567910, 795691, 329254, 276902, 306633, 743332, 689352, 865094, 851327, 143169, 847266, 857237, 568354, 408613, 783773, 230732, 905642, 438478, 173833, 12531, 894997, 64370, 694051, 477126, 811258, 27942, 236405, 109668, 682309, 473314, 819462, 972276, 574348, 897478, 866857, 564150, 555147, 701356, 748356, 264750, 553312, 978337, 986756, 528286, 279138, 873373, 464644, 506982, 706994, 314674, 668945, 651749, 656759, 679332, 823645, 189202, 403753, 493383, 671813, 856349, 763361, 482762, 903485, 970723, 367115, 442396, 12307, 788825, 448206, 836749, 223272, 874102, 482128, 660815, 792592, 722998, 906882, 73020, 431141, 495046, 127497, 170890, 450441, 236644, 722025, 752193, 5321, 108965, 440045, 620996, 418253, 37923, 639519, 307859, 285539, 493533, 584114, 447429, 102437, 538512, 273105, 974426, 88080, 322855, 219168, 320010, 645825, 186459, 966784, 132714, 318238, 195440, 611673, 6518, 645330, 386658, 722645, 569721, 560504, 27876, 927262, 2084, 800531, 863357, 675736, 27899, 309239, 73003, 309303, 939667, 538926, 803794, 489069, 553239, 743805, 231492, 110356, 546113, 689363, 117204, 755529, 852033, 38833, 915540, 771028, 843688, 8087, 788187, 411550, 933994, 769440, 553632, 241491, 161860, 511280, 24138, 853286, 294930 ]
990,023
[ 313931, 431322, 546752, 271751, 279767, 594220, 423805, 19112, 972073, 40935, 612350, 43136, 283910, 618501, 977033, 70177, 561442, 546325, 778082, 294463, 629500, 880597, 311880, 287889, 865590, 513633, 609620, 129846, 737063, 773049, 772360, 231219, 465872, 82377, 938338, 607229, 60905, 403995, 684529, 636753, 861916, 849291, 557212, 53061, 401749, 418110, 407603, 583837, 798444, 733384, 652573, 265183, 629893, 123946, 137845, 124410, 267956, 633173, 109837, 698419, 71827, 109601, 361009, 293878, 102795, 719080, 666113, 954245, 890390, 782626, 874021, 876335, 953460, 183946, 482783, 511035, 730186, 414455, 629964, 940418, 728970, 473835, 989502, 911009, 799825, 99730, 98519, 584526, 130491, 25179, 36051, 496541, 550526, 233507, 414306, 906746, 78282, 104227, 814832, 675156, 657544, 276511, 960085, 878751, 81075, 833413, 883857, 946201, 440567, 808958, 180398, 787694, 495181, 412661, 733029, 539461, 336202, 495273, 125745, 40362, 319982, 570547, 849024, 321618, 959951, 903587, 628161, 735723, 959362, 894672, 966971, 903694, 555267, 322285, 114296, 731218, 655860, 725579, 719250, 950432, 821587, 562968, 876145, 939696, 268693, 828729, 646944, 573911, 83209, 312086, 375037, 31820, 464740, 925272, 203066, 281764, 749674, 810599, 856807, 989481, 816784, 198861, 882632, 652386, 240548, 974957, 79964, 885856, 808822, 275165, 404463, 688195, 470159, 403459, 191767, 933262, 540934, 188348, 832813, 125275, 379769, 894573, 805006, 899925, 56878, 745110, 791126, 473731, 765905, 769854, 388092, 119072, 385938, 400084, 874653, 265950, 891196, 614870, 604578, 163574, 859779, 814572, 225777, 531575, 497257, 491994, 383319, 295312, 6398, 383418, 646620, 436998, 58055, 229851, 442495, 486756, 594421, 353402, 142332, 485964, 243579, 400040, 370362, 785496, 277353, 148400, 65794, 107212, 970636, 979697, 706486, 422326, 171499, 806584, 159443, 817810, 206216, 571780, 255880, 584746, 846828, 899935, 646943, 209483, 515116, 90518, 986215, 622664, 39697, 855833, 157796, 752276, 957299, 104282, 694500, 297385, 178179, 767177, 628505, 769119, 515859, 776231, 859308, 951294, 417512, 56030, 723336, 869712, 352030, 98134, 555492, 839491, 216451, 671258, 571711, 19894, 269520, 249765, 28169, 125446, 191994, 366819, 118033, 661986, 801015, 288222, 113446, 891762, 809882, 894163, 645168, 765211, 126789, 26935, 779207, 644351, 802409, 278298, 529296, 586070, 6740, 263569, 377369, 37252, 773762, 817829, 108632, 700313, 222233, 589873, 823109, 461672, 492942, 712150, 21899, 726088, 241554, 861293, 713411, 651501, 460527, 702982, 586946, 244731, 10439, 918545, 201353, 577560, 758175, 802667, 280666, 447217, 615985, 432216, 351451, 245328, 884889, 706139, 246769, 754579, 784338, 592928, 284026, 153689, 382381, 100411, 194461, 810424, 656859, 705965, 40915, 403734, 951155, 394656, 39823, 692244, 212390, 935961, 843780, 733130, 705842, 85387, 539949, 924114, 117554, 440963, 905502, 890053, 485187, 933404, 563653, 178516, 439763, 788181, 162752, 799816, 436225, 988698, 83552, 277633, 281942, 8905, 132422, 886533, 501156, 560095, 72316, 274767, 560655, 913658, 974706, 261471, 693163, 729501, 963983, 165331, 897205, 666628, 329953, 722633, 151811, 640563, 539130, 74090, 289838, 884487, 17868, 455771, 524705, 317021, 412480, 800839, 947529, 240689, 722017, 477466, 631365, 193696, 553153, 718662, 365753, 616592, 252730, 610543, 584312, 638307, 617535, 125761, 93197, 934094, 192039, 59401, 81069, 809885, 587545, 19441, 757410, 974843, 606186, 596319, 601427, 248060, 316259, 188963, 308720, 197906, 30954, 135797, 541589, 964098, 163848, 26755, 961876, 144677, 859972, 227405, 244212, 203664, 225500, 170494, 761146, 826877, 853213, 924732, 351154, 221701, 984327, 71291, 664736, 152653, 689599, 278083, 286020, 549070, 691370, 936846, 471260, 777239, 366628, 738509, 359385, 385960, 648889, 325238, 693028, 450846, 932422, 924102, 371005, 110825, 407118, 166776, 965511, 823399, 919259, 566627, 334300, 262786, 14400, 6259, 258801, 513475, 652390, 772965, 490139, 854600, 318813, 827765, 341635, 285350, 499168, 574360, 425843, 512946, 317919, 811118, 289993, 904963, 678723, 848049, 12775, 701471, 173090, 897463, 187718, 343156, 86632, 809950, 59698, 705609, 165919, 7375, 1327, 718793, 841224, 823637, 153561, 23112, 478769, 384309, 914898, 778816, 132131, 565922, 598332, 459449, 155326, 728051, 309804, 375363, 713146, 839357, 102926, 310254, 147396, 442184, 596664, 882220, 934242, 791185, 835436, 696890, 467894, 240261, 683212, 479307, 51868, 459056, 928507, 919327, 90761, 463276, 376964, 810786, 308294, 977758, 420392, 224504, 625499, 634598, 473472, 539089, 76953, 644884, 78, 928999, 966932, 38861, 562684, 81219, 223930, 570724, 903774, 869192, 109821, 164607, 675529, 573682, 807242, 712218, 251380, 537283, 236277, 313323, 595500, 599686, 131843, 638394, 686464, 629473, 172529, 625464, 715069, 78525, 935411, 626578, 720100, 137543, 542097, 856978, 104794, 195528, 315486, 392604, 493711, 29275, 291981, 775972, 314390, 766461, 270502, 855919, 134492, 238631, 462667, 129255, 779099, 670771, 849389, 379397, 132688, 275941, 511994, 804087, 588361, 944314, 969997, 81809, 751350, 868406, 639057, 649621, 338662, 339257, 199032, 288146, 27029, 1824, 170834, 332605, 871025, 854016, 326197, 122864, 74721, 270121, 485555, 426777, 957738, 298517, 603216, 231732, 39370, 298993, 869500, 906347, 609665, 707434, 812608, 210704, 611031, 73186, 359932, 873033, 419055, 893872, 729181, 650785, 693044, 136897, 947518, 484004, 891201, 167530, 506494, 568680, 876808, 775374, 50966, 534026, 23391, 740239, 652042, 472239, 589891, 510839, 79692, 956027, 836875, 665052, 166286, 461529, 341781, 93018, 71178, 435420, 115727, 743542, 958113, 754751, 19774, 789913, 696345, 703836, 506169, 737066, 947112, 135732, 357651, 511215, 829818, 193777, 860729, 723144, 9192, 898069, 362082, 430570, 442556, 28666, 840812, 571930, 770932, 468387, 483725, 95606, 177837, 934511, 348634, 283015, 981875, 44274, 63264, 860897, 585096, 773468, 304413, 864306, 408424, 675817, 610053, 877578, 625485, 573508, 74816, 27650, 692880, 853590, 34312, 481640, 660278, 981108, 576985, 950886, 229893, 332902, 706492, 669455, 623370, 752739, 243552, 30299, 466045, 215586, 192734, 911109, 306991, 847371, 13064, 953275, 546961, 553664, 352195, 269199, 192760, 409148, 534218, 627668, 529536, 10225, 635574, 14564, 586044, 430659, 531682, 476790, 401628, 77155, 354890, 102388, 354019, 410286, 76543, 541672, 752928, 788139, 247598, 915105, 81985, 389080, 459528, 744457, 212442, 144051, 942704, 233538, 366477, 879717, 798658, 72022, 790421, 561544, 849271, 604948, 126343, 734957, 881440, 625813, 593811, 922761, 533962, 182419, 778582, 75208, 556790, 826182, 453141, 221468, 785759, 749631, 609669, 29995, 910026, 735336, 701405, 477977, 444966, 77503, 18022, 386880, 510244, 652603, 803507, 667351, 605174, 635401, 336499, 763084, 113598, 477148, 744895, 268472, 602642, 473485, 150648, 420280, 777305, 262682, 242477, 819282, 738734, 237315, 505451, 590967, 838881, 221117, 909093, 423800, 24383, 180604, 838456, 780382, 287647, 239083, 266444, 215780, 563654, 184599, 86619, 525816, 423641, 727903, 467450, 789083, 636028, 424059, 275925, 20486, 82622, 235044, 335127, 654210, 430820, 240480, 310489, 972020, 213779, 764607, 540209, 946514, 136220, 679788, 310987, 656219, 253118, 64453, 638048, 532168, 571644, 70804, 293781, 1430, 185336, 838920, 496864, 4701, 72997, 419608, 186419, 42669, 23983, 63701, 845047, 839016, 277667, 535899, 324703, 413696, 79302, 66733, 834174, 735544, 676970, 519238, 76950, 766383, 375967, 832324, 560715, 677736, 74672, 396978, 841387, 287994, 8879, 771081, 804939, 120116, 792702, 83315, 346120, 712238, 692694, 671771, 442413, 888138, 365102, 836886, 940250, 208141, 181958, 174090, 922951, 983630, 757909, 790321, 637751, 725503, 123943, 248628, 742050, 444602, 841958, 408310, 579221, 479883, 301337, 69594, 434749, 224638 ]
990,024
[ 125962, 778558, 607304, 603853, 620994, 897300, 823417, 466825, 214759, 979715, 45874, 609480, 103587, 804186, 960477, 881714, 594296, 2025, 217555, 917731, 630008, 749235, 234631, 487883, 459634, 704099, 723532, 331624, 518969, 598892, 927644, 117859, 628133, 717980, 279259, 27809, 26892, 296128, 839831, 773564, 388710, 807648, 877047, 75621, 959754, 941079, 671990, 747887, 932629, 44775, 833156, 621847, 563921, 959026, 452550, 447052, 911669, 597352, 240806, 662983, 600028, 440127, 979538, 729973, 959108, 67689, 164865, 226895, 776344, 239690, 251319, 38854, 225120, 173831, 258999, 677243, 728082, 369047, 235139, 742490, 33868, 450119, 78313, 554129, 372807, 701387, 954047, 20274, 980297, 87755, 579351, 190, 569445, 256088, 459192, 752021, 117951, 911910, 853944, 870662, 241833, 326682, 380094, 25108, 732997, 322517, 674870, 932525, 963195, 723775, 662303, 527373, 518782, 453022, 667933, 15938, 757181, 902553, 453431, 876284, 844013, 626869, 976236, 280814, 823661, 960495, 697675, 950229, 667032, 691155, 141776, 309825, 645340, 841774, 152173, 935772, 457101, 609929, 231962, 11426, 343295, 631223, 16642, 635741, 577690, 222959, 557093, 257490, 88085, 137952, 215071, 183054, 248360, 168418, 158245, 485546, 145499, 201755, 76844, 537656, 541440, 355728, 577900, 936646, 549368, 797119, 988012, 160990, 338440, 394495, 772331, 11810, 40733, 261749, 414835, 442683, 784702, 958515, 256796, 656639, 130427, 891009, 394637, 30491, 182588, 150139, 166232, 165840, 386297, 806010, 343984, 354524, 940906, 391902, 66082, 453110, 685321, 592151, 21153, 207455, 153738, 165824, 725287, 537935, 420781, 935261, 883095, 237505, 779923, 253876, 892935, 448570, 60694, 739015, 598781, 559032, 648075, 415365, 333417, 104654, 948561, 845344, 327283, 529026, 813308, 966382, 39723, 42008, 418553, 169862, 136759, 323587, 781301, 903921, 241343, 628098, 834274, 134300, 649694, 661363, 432895, 664788, 624609, 789539, 215103, 634242, 972829, 607434, 255278, 392879, 564770, 750629, 681844, 904138, 917417, 724816, 301808, 373827, 468758, 875353, 400394, 934266, 163108, 677836, 207334, 919540, 324402, 153704, 663382, 487477, 215145, 766410, 159881, 624426, 222388, 471818, 53858, 11631, 670788, 969579, 763673, 68324, 286627, 501869, 653547, 789600, 662978, 68238, 270179, 154094, 362554, 541853, 815641, 572017, 42994, 65450, 701673, 360450, 840131, 415840, 512819, 200213, 446457, 405940, 438057, 356143, 471578, 263537, 108613, 63949, 824257, 933546, 242932, 979526, 77, 911548, 653369, 800146, 98013, 206530, 588, 554162, 773051, 388065, 248677, 574557, 533469, 839693, 599571, 474009, 248310, 79981, 91027, 230488, 235942, 712731, 324192, 547433, 739207, 856067, 123429, 912722, 344387, 60604, 765642, 114244, 127598, 735556, 789035, 310537, 776501, 70475, 976250, 467784, 224001, 638172, 779915, 765667, 750966, 118274, 827709, 229049, 541356, 926538, 977396, 555943, 549761, 389939, 556018, 597521, 481998, 470323, 59307, 760765, 122600, 434607, 934476, 266757, 861919, 617807, 881656, 580281, 918006, 740390, 471398, 769778, 225665, 855906, 824287, 708613, 371676, 587934, 299567, 138185, 487363, 148933, 943006, 326584, 1895, 421287, 784285, 965085, 157132, 65272, 187827, 417453, 710380, 513222, 144451, 685468, 63980, 149552, 589018, 559995, 788472, 80955, 353220, 436102, 486326, 299436, 838947, 976043, 689032, 902623, 460425, 876963, 799657, 757205, 211759, 590130, 661262, 479184, 74027, 113012, 130550, 674401, 333807, 373744, 250632, 145898, 778214, 973272, 374988, 21383, 427521, 586336, 840808, 456227, 43226, 278696, 400960, 930979, 414050, 557778, 294859, 644196, 534091, 554870, 777481, 640675, 740013, 801026, 19027, 508803, 704557, 406237, 590194, 921695, 595702, 253293, 220051, 118696, 278686, 39007, 223031, 469090, 461338, 670387, 577824, 104009, 125793, 149139, 913469, 827647, 648, 329671, 291171, 612946, 66878, 367986, 146229, 333983, 981037, 463064, 817784, 401716, 198583, 970436, 542114, 502001, 967694, 844706, 471100, 10080, 140629, 862434, 397859, 307396, 749062, 610533, 935363, 419113, 904776, 615727, 451863, 965631, 842354, 129564, 900368, 518395, 564712, 69393, 295689, 155610, 194315, 763222, 262654, 513624, 61967, 834358, 674673, 400176, 185116, 910732, 28502, 27068, 173267, 690126, 156191, 139835, 273386, 385054, 57597, 450975, 786337, 484029, 226379, 155177, 686769, 980208, 917595, 812889, 175735, 594484, 112600, 60947, 716881, 91413, 157423, 374261, 39680, 529239, 507274, 181713, 564927, 459160, 623185, 738708, 104790, 422472, 488822, 541807, 265037, 723689, 943367, 284258, 934273, 765040, 713172, 553995, 357080, 156508, 565077, 391529, 889392, 458819, 29968, 256577, 680412, 93867, 696579, 258023, 289693, 215747, 910630, 434257, 387393, 633868, 323064, 489849, 383794, 930920, 308225, 988958, 930259, 474957, 711066, 466417, 6533, 255120, 323699, 365655, 628983, 147274, 900019, 112838, 764496, 176762, 96879, 412545, 683338, 496034, 967392, 814577, 36309, 581823, 970416, 409440, 885822, 147946, 460447, 426383, 17566, 828491, 467376, 841882, 230205, 610820, 497250, 699223, 928278, 199460, 374228, 29241, 143612, 580913, 860810, 322532, 171150, 209591, 700419, 940815, 679935, 17993, 203435, 32528, 439242, 763852, 934270, 62775, 734086, 268978, 779213, 357283, 56101, 649051, 693116, 825396, 265723, 745641, 853315, 66606, 610112, 279731, 219063, 708836, 651595, 569592, 900103, 814287, 63364, 517240, 605640, 429455, 341723, 148971, 637111, 141203, 725742, 749839, 729351, 543376, 761215, 962090, 559953, 354792, 933494, 696112, 987314, 642681, 317210, 464880, 529010, 39592, 609930, 976519, 801610, 336925, 824253, 745479, 787123, 160953, 209482, 489353, 268576, 174616, 752745, 345163, 455761, 287569, 794238, 685258, 142651, 711045, 476845, 181721, 343628, 511498, 903952, 531136, 323016, 728561, 527744, 244108, 832795, 927565, 598040, 826397, 290787, 492722, 577966, 758286, 896065, 667988, 66042, 464804, 322029, 399088, 25246, 919863, 46375, 965558, 373861, 678076, 223390, 482802, 729130, 435054, 441807, 647134, 126025, 708253, 167215, 308224, 71369, 461294, 492339, 113070, 700506, 720595, 790298, 771333, 716905, 797396, 801738, 70925, 50025, 833858, 597502, 830164, 8646, 499058, 364168, 332167, 564264, 459032, 302238, 440751, 71725, 35532, 827738, 635685, 84680, 687602, 716411, 805220, 486521, 964701, 747834, 453497, 657517, 678562, 670673, 251888, 903205, 669796, 600468, 7616, 930529, 234317, 625357, 769526, 632907, 933711, 107821, 331382, 678863, 109001, 609856, 171431, 910932, 968708, 943666, 924390, 887950, 778, 398890, 947902, 294155, 207322, 388139, 817109, 52368, 721399, 899395, 128856, 363572, 73574, 590266, 175351, 274218, 529493, 419087, 516268, 789753, 871590, 733364, 831433, 321034, 300674, 821508, 671155, 735209, 739934, 507552, 604013, 38020, 703664, 578327, 63291, 547411, 306427, 864362, 976039, 742426, 177937, 57665, 642281, 609927, 487093, 470365, 889450, 340934, 285347, 252504, 323852, 683227, 748327, 892965, 338628, 87210, 466703, 794099, 831424, 625684, 91985, 516837, 790951, 857784, 556415, 441339, 227322, 119859, 437656, 673149, 838398, 767140, 934812, 316935, 734963, 707147, 919782, 403813, 948183, 571554, 691776, 64670, 881341, 693790, 818120, 381343, 683619, 95093, 805162, 540075, 302894, 818106, 433815, 869183, 865918, 336636, 604034, 779816, 21160, 45680, 358482, 205455, 26302, 133080, 979445, 325992, 176312, 135937, 952824, 233140, 285994, 919007, 764374, 236663, 242984, 857061, 63343, 927374, 814374, 216276, 128593, 682166, 392528, 78423, 607454, 225246, 441666, 518553, 667352, 801803, 452036, 815826, 272260, 461357, 385323, 411788, 869776, 50841, 390808, 686409, 297807, 812932, 256955, 417839, 472477, 718634, 153361, 143232, 102529, 163329, 763289, 677311, 245977, 22823, 136868, 442461, 599773, 71898, 282155, 334011, 540119, 486568, 687487, 315726, 97061, 951858, 335124, 837681, 832037, 739461, 587101, 480257, 235403, 302149, 962712 ]
990,025
[ 909341, 288644, 67916, 122771, 453046, 523288, 327297, 352763, 880435, 372701, 233251, 674496, 621539, 471460, 1835, 686608, 651247, 972348, 370072, 927753, 131492, 175823, 644487, 21290, 925968, 453500, 806725, 638586, 655848, 156830, 309881, 558879, 376611, 980003, 964674, 243435, 564179, 155562, 984357, 683718, 821935, 436631, 74349, 537486, 410806, 168733, 446810, 177840, 538517, 946164, 260335, 243562, 573683, 231589, 260356, 854752, 562179, 689897, 95597, 524610, 408552, 296328, 946551, 768020, 366077, 410464, 169330, 853051, 772609, 352530, 5956, 838897, 454737, 181809, 675281, 680257, 311864, 825491, 252328, 633433, 319623, 724857, 418557, 320977, 869377, 965109, 544145, 856448, 384423, 528806, 53751, 27299, 116120, 51319, 189489, 337079, 605376, 193067, 635329, 614506, 902530, 190735, 197504, 651985, 14411, 715393, 693047, 987822, 519150, 383688, 902066, 866182, 488758, 118519, 982998, 977484, 701728, 655441, 341750, 986868, 538777, 390104, 888595, 943364, 690935, 878634, 732314, 516650, 446044, 864774, 148632, 53586, 40381, 314437, 668178, 673327, 733042, 940402, 305956, 144934, 913810, 637614, 829591, 70410, 428625, 824624, 285939, 950186, 620148, 481349, 733982, 521845, 344530, 234383, 440300, 709869, 632533, 575364, 787326, 405829, 680390, 895256, 805941, 478920, 682860, 442310, 556840, 647226, 210736, 601998, 55587, 271087, 767582, 924345, 130141, 788912, 203124, 560232, 669774, 387702, 972164, 208721, 894295, 552281, 657870, 583248, 423429, 118787, 262899, 828501, 528710, 194456, 761467, 678152, 186925, 309539, 482605, 802032, 764529, 355675, 756710, 517258, 555037, 618055, 535156, 420085, 293435, 342862, 604669, 40084, 446180, 819715, 774185, 141197, 941417, 692231, 916166, 729952, 794502, 322354, 135328, 393574, 503647, 917927, 92264, 316772, 774085, 986789, 862904, 974778, 601807, 259024, 6097, 182734, 849302, 407864, 103946, 386057, 321881, 12031, 967233, 591019, 726550, 844031, 297300, 376121, 564293, 963435, 105069, 301665, 668168, 212491, 602436, 794560, 729578, 353564, 601702, 347927, 868306, 839005, 925777, 667082, 283969, 38553, 266522, 391927, 692692, 916024, 782762, 850415, 95742, 768298, 858285, 654694, 554646, 348724, 919576, 745098, 707767, 941726, 186357, 949856, 652305, 715511, 5986, 90756, 570859, 888000, 135182, 974521, 187136, 107995, 751327, 741847, 933155, 300016, 802891, 67263, 204221, 435227, 480494, 369526, 201587, 637137, 256666, 738268, 125743, 547609, 769913, 970832, 540604, 208421, 323118, 712356, 386131, 408509, 921494, 748670, 176913, 939557, 319844, 402763, 518619, 126746, 842471, 295432, 329210, 945946, 861494, 374995, 10445, 908106, 111227, 845224, 39140, 970337, 747711, 730581, 370720, 242323, 312079, 814891, 614908, 53887, 761305, 937092, 821117, 107420, 573978, 909961, 539237, 305311, 487476, 889282, 196040, 611433, 315614, 30588, 578176, 249671, 103965, 608129, 938175, 169776, 845800, 138191, 732382, 102099, 491182, 747151, 596833, 257371, 734649, 386985, 313359, 27047, 696037, 619882, 545086, 527974, 86577, 502792, 359993, 904946, 964608, 426133, 881262, 362605, 2252, 411735, 130496, 640580, 58879, 404364, 28439, 859461, 875308, 943999, 208475, 2168, 47526, 324644, 975381, 471348, 424695, 113087, 893234, 460351, 360385, 893414, 849165, 535820, 958285, 254251, 708445, 537220, 28344, 120278, 761405, 906505, 517342, 421214, 157221, 40289, 97052, 190228, 933619, 272159, 913444, 827280, 903918, 189634, 317144, 847365, 918605, 300767, 241084, 13139, 454103, 344843, 191887, 52357, 88084, 738646, 465638, 911444, 413607, 985267, 331681, 294810, 272451, 747285, 540236, 424085, 77789, 304377, 14269, 524725, 402156, 858140, 414568, 278013, 620316, 200578, 275651, 291874, 984507, 876316, 330820, 402713, 450800, 161028, 645481, 291849, 819493, 942130, 379585, 849189, 15355, 438299, 914982, 476157, 552445, 848970, 900657, 688883, 914859, 682282, 977638, 649449, 791607, 550630, 101750, 946116, 904917, 377973, 615874, 52039, 827061, 471300, 39429, 265193, 445565, 423697, 426164, 570049, 645611, 379192, 477636, 633555, 533557, 551367, 930796, 268765, 909668, 853238, 898272, 783783, 888805, 579330, 633001, 781608, 664377, 566418, 81600, 631717, 847714, 229012, 19829, 641905, 480115, 937298, 2373, 928359, 985749, 597569, 205587, 604366, 700753, 722419, 571253, 902696, 821399, 377233, 619780, 313459, 939472, 123296, 581419, 385875, 596478, 769782, 515625, 128991, 543719, 335220, 577652, 416305, 109961, 368763, 494418, 169214, 429935, 623188, 673234, 98324, 351651, 430516, 295021, 516441, 264899, 681656, 312474, 646880, 779636, 974066, 269117, 429496, 781893, 227931, 27141, 70485, 115323, 914656, 838337, 742768, 947560, 377398, 847396, 587018, 870914, 668965, 640306, 328314, 530507, 727178, 623868, 143494, 135818, 181170, 586288, 631540, 322894, 24314, 480864, 221042, 162738, 395092, 662869, 740315, 327055, 688079, 464068, 844549, 475849, 98461, 201349, 337592, 940447, 173000, 785805, 491792, 858594, 747216, 939326, 943086, 759244, 557981, 917855, 102559, 560944, 410644, 802895, 377754, 513675, 985673, 619326, 384942, 710889, 550795, 119738, 726500, 251153, 868514, 513465, 901513, 263153, 499798, 984040, 807439, 782996, 8219, 153155, 75405, 687316, 367357, 94078, 917175, 200616, 914032, 176172, 793086, 838909, 790594, 551858, 526246, 189690, 874680, 520896, 374200, 635294, 234608, 699714, 820756, 941392, 466609, 311805, 934345, 284474, 943183, 621313, 556461, 852594, 861227, 405508, 18117, 973817, 362555, 567815, 50438, 212857, 282084, 549564, 320374, 420725, 86614, 236511, 566932, 951992, 732168, 367137, 515292, 986015, 676247, 594495, 153505, 408458, 447837, 208641, 908031, 846932, 33379, 438068, 818040, 331633, 442988, 172640, 465075, 102806, 506710, 935358, 291504, 870692, 195345, 289575, 953092, 507445, 86973, 891514, 751937, 243106, 392643, 105763, 982452, 393381, 434137, 860337, 359544, 89286, 969109, 718456, 572295, 517335, 769122, 294776, 415744, 959701, 567320, 410221, 108730, 481802, 923300, 196552, 629630, 383119, 447456, 138989, 547192, 361499, 397597, 176141, 113760, 373435, 32572, 334844, 298431, 200042, 510500, 413770, 329969, 867362, 212081, 707316, 927755, 14920, 369415, 380159, 29991, 207300, 170879, 156472, 905471, 747249, 291352, 326209, 692779, 819028, 638813, 36508, 489303, 118824, 104901, 262266, 979352, 111839, 934194, 980381, 376940, 837482, 629425, 150729, 192843, 313898, 621792, 622979, 741624, 314637, 374812, 858282, 548634, 718238, 431501, 719465, 145494, 86380, 89170, 10659, 468100, 583906, 548909, 241910, 459150, 290270, 372324, 24098, 236501, 732455, 567175, 869624, 618790, 607731, 911615, 792165, 66394, 574951, 802860, 461214, 806315, 303285, 540293, 753284, 551544, 326013, 447333, 368966, 552634, 670259, 362146, 929339, 273600, 145016, 278060, 846324, 768598, 893253, 372849, 526729, 757034, 492871, 75392, 879685, 527505, 294440, 952029, 655724, 872792, 628817, 493621, 314081, 245668, 819558, 469783, 107714, 310032, 775514, 259016, 549626, 286089, 669024, 645888, 971689, 715096, 961050, 831542, 307604, 758524, 630177, 719103, 463423, 453690, 91005, 421285, 585530, 450793, 72069, 134156, 903441, 714989, 695637, 921599, 794585, 468495, 950512, 905520, 439920, 123048, 711714, 853288, 518105, 868017, 910783, 983172, 686117, 949226, 285129, 402785, 117991, 504834, 394039, 952265, 337305, 755831, 812350, 4811, 165710, 356830, 423174, 39595, 419004, 570497, 821850, 690167, 119220, 953602, 84813, 786826, 941814, 975356, 135438, 284005, 536383, 400460, 777139, 434028, 454312, 751224, 596004, 768065, 620684, 306978, 114794, 406563, 448176, 137421, 483204, 670444, 293690, 165955, 762111, 454402, 230873, 106097, 514907, 684185, 328323, 582010, 492503, 373044, 391281, 86186, 297650, 158630, 863090, 23015, 496298, 708763, 378179, 255326, 250667, 169701, 340582, 507605, 737483, 442344, 578212, 709639, 280859, 754320, 110462, 7426, 878069, 697653, 341099, 653103, 789797, 35375, 917771, 728895, 317610, 644252 ]
990,026
[ 650124, 716565, 880453, 247079, 20023, 328495, 190663, 318079, 490103, 779811, 892133, 551639, 130727, 157187, 894270, 423205, 356174, 6469, 63499, 309974, 568075, 444546, 468677, 408961, 674147, 330253, 517495, 671371, 88576, 308495, 486927, 241751, 260478, 365075, 212751, 788920, 249265, 30096, 627713, 59260, 430732, 884109, 88176, 547302, 317807, 137888, 722104, 827013, 137739, 806347, 63652, 938078, 338572, 942487, 274993, 538579, 422846, 397118, 981015, 681467, 645886, 816806, 255398, 93554, 875454, 382809, 55309, 972902, 479485, 481004, 405770, 334570, 84215, 429838, 946871, 55489, 409428, 732994, 174558, 532683, 151909, 41103, 555465, 653193, 725540, 355187, 806900, 165225, 658807, 976303, 948928, 806597, 140422, 374815, 254340, 355795, 624737, 820868, 539618, 688193, 44744, 842660, 378690, 367830, 812918, 817084, 487415, 582721, 658377, 800639, 299603, 40936, 477444, 191169, 50742, 606109, 160444, 108398, 195208, 520649, 177743, 702046, 743541, 63960, 508751, 694872, 110232, 677516, 325293, 12256, 88387, 359580, 104816, 463163, 459377, 875330, 573753, 6224, 612541, 266049, 189807, 231268, 310009, 551480, 825675, 985637, 868986, 817623, 58655, 558253, 709729, 278373, 346280, 732847, 279851, 368246, 299003, 363144, 798157, 739637, 15787, 192232, 562966, 600316, 711758, 883907, 483934, 209977, 726177, 156063, 531847, 676473, 330371, 330878, 379598, 366904, 123336, 867886, 75137, 978585, 172939, 829663, 960136, 894340, 647981, 736268, 518641, 817276, 344277, 703576, 833763, 631117, 913660, 975400, 846734, 367554, 856615, 975713, 5490, 939180, 297923, 837395, 720740, 304310, 502763, 26789, 959227, 465337, 229537, 199454, 309855, 797257, 596902, 374893, 235148, 855431, 239746, 973816, 795234, 985419, 958355, 6716, 805471, 232214, 348068, 63148, 651278, 40715, 819294, 547412, 761226, 69032, 894800, 563943, 376183, 84908, 905143, 401637, 763381, 801283, 808186, 828049, 204727, 42321, 338549, 297157, 84021, 487624, 364664, 327915, 183755, 799770, 417414, 327844, 141873, 123679, 146366, 809218, 961618, 321671, 168327, 444669, 820313, 816100, 407333, 877493, 773903, 423935, 754943, 716000, 275395, 984474, 851278, 683890, 761123, 301457, 234402, 716207, 402147, 228479, 832969, 124760, 538600, 649188, 708533, 146600, 34288, 429399, 323005, 785003, 6156, 288601, 564764, 481106, 32253, 160575, 939436, 462156, 538862, 509011, 352075, 479190, 981221, 172470, 482079, 725773, 117530, 844826, 315450, 854230, 663389, 352696, 606334, 437651, 833570, 629820, 196354, 239752, 93544, 879312, 213315, 730026, 847785, 579286, 428344, 120138, 400094, 587302, 645076, 17037, 641790, 345887, 391643, 594478, 694251, 238800, 47939, 236104, 563316, 551653, 138958, 214835, 801389, 231396, 478797, 537319, 449638, 347314, 348312, 910534, 410226, 264511, 219432, 814171, 554105, 604613, 28897, 327811, 953541, 352551, 126182, 43188, 256787, 215266, 63426, 943396, 477689, 450319, 617799, 315723, 937016, 667379, 428474, 940603, 137015, 483306, 413004, 104131, 368099, 234308, 342436, 933527, 614755, 851819, 166966, 592265, 961770, 177860, 671586, 937409, 467225, 912118, 300297, 954206, 372180, 552234, 321435, 878617, 391038, 646164, 175833, 963394, 305693, 446731, 310054, 853186, 437938, 831404, 523290, 37535, 156340, 528475, 608183, 951427, 977767, 128898, 490922, 928159, 8472, 897741, 206849, 680681, 209877, 823502, 283568, 878713, 921239, 647074, 735998, 202587, 56066, 626819, 329938, 217601, 559065, 85881, 754920, 368108, 799981, 931538, 405647, 794190, 681406, 399960, 425630, 889973, 328214, 593792, 469261, 25127, 238386, 538441, 585510, 874947, 585439, 274644, 809592, 851789, 173067, 258813, 328119, 389035, 614855, 777792, 777829, 942438, 434173, 392815, 181049, 63793, 148244, 583692, 701696, 283251, 576717, 963270, 166309, 380726, 979731, 705949, 64462, 162437, 312250, 869462, 173697, 901310, 972441, 482608, 445692, 208134, 952691, 353671, 151096, 875831, 280558, 783642, 717598, 137884, 505772, 405844, 768689, 145793, 381544, 866057, 739346, 624346, 71432, 106608, 827198, 219922, 235289, 702122, 174287, 712911, 505592, 907172, 102973, 378601, 497167, 473564, 128174, 735743, 195381, 474941, 865536, 613802, 274718, 193056, 468871, 468488, 678405, 397152, 601627, 413950, 219718, 575801, 158467, 826494, 853923, 79155, 645066, 95653, 832032, 591109, 566354, 288051, 741755, 683877, 701424, 50001, 22021, 604763, 329377, 693697, 620745, 552878, 863955, 28224, 628779, 200341, 20102, 708716, 983902, 201724, 492833, 252401, 314549, 887768, 821711, 60172, 606369, 652222, 289616, 183544, 613327, 981963, 906660, 24057, 173037, 85751, 819815, 377557, 51398, 57673, 737205, 861968, 641149, 99503, 807918, 215066, 751583, 724141, 739210, 258082, 410472, 87770, 482405, 61850, 378381, 824237, 953842, 370784, 17619, 565242, 82322, 350968, 123674, 861004, 779743, 100999, 222805, 615884, 289653, 47805, 40895, 369832, 57905, 931561, 324998, 742827, 617897, 853568, 237469, 299116, 570155, 112552, 321923, 699175, 340173, 918452, 183367, 821572, 732180, 853057, 668782, 706274, 271469, 605279, 474819, 956856, 727303, 649590, 56815, 791679, 732565, 683330, 726036, 648551, 545541, 298131, 414117, 581818, 60487, 616846, 753311, 226394, 471167, 735520, 441289, 616035, 279230, 432158, 323370, 981478, 982185, 834765, 693493, 852985, 303040, 182573, 431264, 470244, 77827, 915416, 72828, 334599, 666351, 613064, 804813, 456789, 195425, 49680, 769260, 759788, 740654, 982367, 885012, 531541, 710501, 917514, 188886, 604461, 429039, 841625, 247651, 45374, 725212, 652047, 623410, 554795, 523107, 470085, 80242, 444302, 668440, 770878, 172218, 615899, 36387, 591402, 394085, 855308, 339512, 449525, 305145, 464539, 789403, 217610, 102879, 335786, 899131, 447075, 471573, 342433, 91480, 272793, 806232, 347295, 614218, 461064, 415773, 89373, 15544, 602499, 716994, 755106, 720441, 662508, 795796, 573018, 767460, 789306, 756793, 651461, 541942, 795380, 800098, 117113, 657388, 407339, 567394, 519001, 478681, 687779, 869104, 782200, 370141, 555135, 514695, 445974, 544056, 452362, 105472, 695402, 549428, 9473, 913759, 856013, 169686, 571646, 574605, 292132, 599346, 746831, 382922, 819596, 140700, 852945, 509427, 760186, 100212, 910930, 931113, 224100, 192993, 750723, 544917, 651980, 381643, 342635, 357717, 355491, 587550, 903060, 903270, 740456, 678548, 780690, 63687, 45114, 648587, 835310, 303740, 828027, 777885, 435364, 610599, 933764, 270703, 291509, 593622, 535246, 242314, 148883, 481950, 156399, 72881, 189372, 328664, 733987, 663958, 293387, 859160, 369900, 265218, 665421, 445548, 580999, 804315, 231985, 890095, 103487, 445116, 603014, 117597, 363072, 792301, 263386, 663561, 144863, 49346, 391853, 356498, 674205, 571995, 625105, 187623, 670602, 392904, 452571, 675683, 818872, 773673, 898177, 362315, 150937, 531795, 555534, 316000, 99960, 446352, 355829, 100998, 501383, 986387, 957892, 834305, 547833, 534628, 317173, 110391, 764259, 231755, 780078, 124838, 389421, 92214, 103027, 525618, 160939, 753, 589897, 902876, 904435, 153136, 972124, 763128, 77471, 387169, 730957, 92914, 967486, 928461, 607531, 363401, 401295, 943627, 596724, 923345, 681356, 985287, 332611, 119419, 521003, 570516, 660086, 803519, 967390, 26158, 811012, 603188, 748704, 979968, 880336, 876670, 41099, 763916, 65933, 910424, 647487, 212320, 699453, 847972, 890230, 838189, 806936, 505918, 199249, 972385, 443914, 914991, 291404, 93540, 442144, 387465, 344888, 505047, 114352, 79608, 615788, 708876, 647778, 601654, 296154, 21842, 465905, 444776, 97990, 57886, 602715, 301711, 565805, 451661, 429547, 971406, 968994, 576151, 1157, 549480, 695989, 597940, 560178, 690547, 41750, 975799, 543147, 534096, 552684, 639714, 361921, 512682, 779199, 441589, 149354, 427819, 811669, 826336, 75259, 866841, 843467, 609274, 900022, 975526, 12747, 124111, 906052, 552097, 639529, 623452, 421851, 665521, 495801, 959721, 122591, 733869, 415130, 375169, 252636, 357050, 947610 ]
990,027
[ 921181, 791634, 962465, 27063, 826685, 929598, 901312, 685783, 912177, 950457, 66180, 893515, 356538, 586139, 323544, 698015, 401253, 53972, 896360, 520707, 394749, 45411, 451071, 495852, 432270, 742986, 497328, 766517, 110302, 806246, 155884, 775693, 599504, 262606, 291993, 300149, 6364, 577613, 261938, 359189, 817473, 675853, 752440, 148368, 496939, 107874, 268408, 183950, 686629, 118154, 274074, 272167, 612584, 358136, 377158, 749957, 131011, 45563, 785466, 722759, 276399, 703435, 176022, 390829, 914263, 153024, 643976, 170035, 712983, 300583, 404322, 763259, 297048, 12678, 166822, 717325, 530525, 897498, 17958, 896207, 114540, 182014, 22522, 770958, 371194, 682936, 494052, 667649, 851746, 825953, 737261, 562984, 988954, 743469, 689978, 449967, 627596, 169970, 622496, 569182, 359056, 189147, 855079, 125905, 231247, 733202, 552253, 132005, 454612, 503287, 619539, 840621, 116130, 103727, 925396, 984567, 864357, 69950, 168937, 118494, 329690, 757405, 359863, 911000, 662633, 588390, 44199, 600676, 236607, 611772, 936904, 786648, 741760, 944316, 861799, 677974, 596656, 978583, 765209, 207254, 764558, 388401, 220325, 152791, 28321, 282636, 776159, 545691, 554872, 752711, 905345, 473104, 45831, 352161, 28218, 514755, 654959, 96545, 771311, 518450, 633155, 731574, 398414, 469376, 766187, 556237, 963609, 759254, 152717, 755491, 828034, 517410, 125178, 258311, 297354, 25379, 283793, 140797, 410207, 910010, 707272, 783928, 406335, 584009, 93742, 417876, 228734, 840114, 653029, 333851, 868815, 871780, 182925, 680881, 767219, 257504, 443295, 933083, 141052, 623555, 665614, 382119, 514313, 754991, 117566, 290853, 149456, 726586, 908144, 986407, 357069, 756681, 255130, 494457, 368247, 148916, 732545, 681953, 513476, 771642, 811553, 904992, 22233, 111991, 307858, 258534, 241132, 985650, 314276, 402165, 443238, 135871, 294441, 802775, 356410, 712975, 635373, 455192, 270809, 229906, 83463, 660450, 10981, 722026, 339355, 700911, 863044, 673669, 810832, 905525, 179290, 236691, 478802, 908721, 785110, 576291, 538713, 738029, 327070, 250208, 367263, 759157, 213854, 843007, 287166, 204685, 367686, 536906, 601380, 531634, 529040, 976094, 327129, 968035, 332536, 676294, 144490, 370717, 560575, 646210, 512003, 288296, 167920, 569134, 141285, 728206, 456860, 325594, 245572, 866001, 80176, 481023, 450757, 358052, 559917, 105482, 674756, 847949, 166514, 375311, 815746, 484690, 42546, 450492, 348655, 77988, 766107, 782070, 225159, 141187, 333484, 150671, 540082, 975328, 463629, 146140, 962939, 1463, 100619, 647677, 439699, 854981, 195625, 349756, 341682, 198858, 174194, 633267, 351079, 382396, 133846, 491240, 774744, 575280, 343372, 334583, 518986, 134422, 709515, 32496, 807719, 477077, 84319, 164632, 436639, 532994, 271170, 584072, 535889, 807744, 568193, 416652, 883990, 467561, 13170, 361448, 147742, 67969, 200181, 711532, 392847, 956001, 501439, 360029, 481852, 389850, 190654, 644306, 697659, 126851, 406044, 506154, 196684, 984412, 551049, 496288, 183165, 529056, 376701, 90356, 503531, 438078, 921004, 811634, 260142, 701162, 559383, 837337, 29601, 399845, 402061, 620402, 53992, 649865, 218598, 222002, 60696, 7776, 837115, 641737, 471029, 849117, 548025, 598486, 73511, 842697, 589754, 354800, 20752, 629183, 699071, 531471, 651742, 475172, 420361, 565232, 96403, 287849, 16459, 970821, 647693, 698423, 458538, 133688, 872534, 750865, 209885, 341825, 873630, 4411, 1536, 39976, 853003, 752386, 710760, 865324, 546280, 431, 658669, 275483, 270354, 408908, 932209, 452863, 80592, 119865, 898157, 627084, 659905, 339863, 45962, 458398, 274443, 855630, 10213, 743408, 715485, 459028, 455725, 372871, 86424, 164239, 291665, 267274, 606122, 245945, 825254, 211102, 108858, 94567, 310924, 712729, 22626, 672265, 134323, 205733, 928029, 14748, 188803, 483242, 402241, 473270, 851274, 352338, 962481, 353322, 453356, 121717, 208867, 293246, 846758, 860086, 975809, 639704, 648611, 191491, 39804, 986771, 733103, 450334, 614706, 800471, 833213, 413159, 201434, 198953, 723193, 211090, 221858, 97356, 830913, 955789, 850613, 170814, 149540, 154864, 49781, 67300, 356288, 791656, 76958, 285926, 649773, 131203, 736024, 534457, 644352, 91687, 504576, 460035, 664225, 704549, 849650, 783286, 984299, 589606, 428230, 55113, 422027, 593302, 383591, 914423, 510859, 692541, 939565, 706, 708068, 242702, 464829, 761168, 67514, 197743, 356333, 331327, 712772, 15306, 973028, 73078, 976060, 330176, 644043, 619133, 967755, 691061, 572663, 137380, 551667, 862285, 346408, 250798, 837030, 310471, 921100, 349468, 818604, 400994, 240140, 435181, 856018, 790393, 902273, 372992, 550310, 322598, 964028, 625528, 941801, 817448, 140846, 26015, 342881, 572841, 444771, 615976, 475257, 521231, 903900, 403027, 764661, 134507, 528781, 872075, 311224, 623374, 80446, 511617, 53198, 645434, 92670, 132102, 705004, 683258, 22964, 45309, 475612, 367611, 539068, 344488, 36650, 132647, 651918, 727348, 657535, 272985, 568304, 20419, 613585, 737897, 468331, 485285, 171259, 245482, 105541, 496919, 893387, 142319, 874712, 570261, 188286, 123958, 275592, 660282, 314228, 913599, 688623, 466312, 545414, 213499, 66447, 343772, 270363, 498657, 524695, 266496, 616063, 68748, 282573, 591901, 549231, 161108, 182691, 97267, 363965, 109635, 195735, 903027, 312300, 798138, 388143, 872193, 294427, 458570, 839155, 892618, 424263, 653972, 153660, 954585, 263328, 527128, 194465, 821677, 864030, 547858, 769888, 262667, 317094, 504590, 710993, 912742, 546798, 410973, 255568, 890716, 787409, 77497, 855598, 648030, 180037, 744865, 916855, 566146, 888679, 409817, 783686, 714258, 692705, 317160, 228369, 658648, 679812, 717132, 44220, 660187, 80827, 347145, 790076, 283403, 858822, 186069, 615106, 765022, 4004, 765957, 765840, 157553, 256134, 669378, 687216, 902317, 161624, 889646, 510277, 769505, 318691, 543456, 532064, 345741, 500660, 980650, 723990, 636799, 117418, 913341, 243405, 504737, 897018, 830046, 624324, 267691, 727215, 131870, 643223, 24996, 944092, 524110, 812071, 524479, 898445, 382071, 582203, 846625, 694153, 755357, 207777, 726321, 456137, 246153, 16429, 157795, 851180, 81058, 130440, 120343, 958522, 211948, 366716, 106136, 275482, 203144, 453714, 324364, 422298, 620997, 201670, 534449, 653449, 845545, 168124, 597195, 610759, 365901, 914055, 301613, 201814, 588348, 922284, 714457, 554109, 977385, 352511, 184699, 496496, 195493, 972721, 526636, 310084, 590651, 436095, 31491, 456515, 875445, 600812, 290166, 337505, 725412, 478167, 53690, 790894, 346129, 368124, 296399, 313344, 395962, 571783, 606617, 56728, 60414, 298835, 853728, 700003, 315520, 243968, 28679, 890343, 105790, 845668, 974943, 112559, 476886, 938304, 735946, 650092, 29666, 759513, 484874, 625242, 846388, 730112, 327858, 295949, 508469, 148990, 587566, 887347, 275277, 723978, 401626, 801975, 778902, 525101, 702708, 379682, 780722, 947990, 548121, 622558, 863375, 982276, 471156, 78215, 854397, 978552, 714798, 130901, 946442, 438949, 44429, 637344, 163413, 894718, 701335, 799858, 629360, 626005, 879737, 509917, 756038, 465541, 540194, 461907, 646582, 483361, 87606, 932077, 719836, 496630, 851756, 706844, 657561, 987913, 360355, 753715, 733050, 479488, 159425, 703301, 913248, 660294, 310393, 418085, 803724, 742214, 468072, 91752, 595042, 791988, 671241, 31730, 921189, 69005, 873209, 880041, 921540, 946825, 249112, 303089, 739335, 105666, 753764, 749058, 263630, 687903, 576712, 451104, 290359, 614948, 567885, 823592, 754560, 271311, 454221, 338408, 377763, 143590, 957801, 954729, 275957, 3761, 285429, 388749, 4705, 860252, 735852, 810049, 988148, 343520, 98745, 272489, 969478, 77513, 545124, 622676, 445151, 120473, 869711, 457111, 99787, 296906, 131032, 378414, 163132, 854678, 322544, 934495, 92896, 973246, 68981, 610803, 951348, 569199, 772151, 502297, 533131, 235768, 265233, 722404, 554626, 924944, 904831, 430679, 48996, 867367, 28230, 900335, 709829, 215861, 743891, 982102, 780848 ]
990,028
[ 723626, 907781, 112008, 191809, 845408, 677940, 581073, 676539, 783714, 813162, 985610, 715768, 316024, 411153, 631101, 744902, 824592, 459222, 828301, 743150, 136064, 858861, 862568, 354386, 541092, 241601, 669694, 284754, 266593, 640246, 176190, 225852, 37732, 333667, 210576, 32239, 629141, 978950, 416630, 580595, 19967, 181118, 620277, 431438, 589973, 887359, 661916, 321296, 86264, 359550, 861042, 201105, 523586, 753565, 60333, 140863, 249643, 847411, 193517, 302568, 359645, 947079, 972449, 938448, 629897, 801754, 123076, 357652, 519656, 553142, 58866, 107666, 685402, 868826, 605284, 616719, 182469, 224055, 542240, 619702, 923238, 302920, 67945, 370341, 159835, 408749, 80886, 831150, 257569, 278205, 759959, 320508, 975865, 872869, 197064, 767229, 784731, 975654, 496219, 431356, 708551, 26822, 688099, 896739, 568432, 791859, 945446, 555863, 539180, 118550, 194667, 774008, 140678, 439182, 593996, 420622, 177984, 863277, 813658, 121901, 162125, 357848, 523080, 851152, 896107, 815098, 198343, 697726, 322367, 107586, 546060, 830438, 322291, 260548, 795949, 8729, 132724, 688993, 98712, 815218, 659432, 159195, 142293, 747086, 214160, 570358, 837051, 914065, 32842, 977494, 641103, 321749, 171299, 882252, 547018, 2692, 918681, 842319, 960456, 642851, 103493, 548273, 437069, 667511, 447880, 928177, 523795, 486724, 723002, 177566, 441621, 842175, 188839, 285197, 539635, 670727, 577699, 63240, 801089, 503808, 823617, 742138, 267550, 343904, 823462, 917479, 116662, 507379, 983274, 970076, 977815, 526507, 161142, 95114, 425668, 215576, 192726, 902179, 722749, 808308, 407054, 157357, 560644, 431612, 638797, 421237, 729269, 807525, 323212, 658830, 32550, 440489, 66648, 806747, 56648, 740224, 726069, 516544, 724518, 718758, 516980, 562072, 796668, 292992, 756709, 272010, 376195, 6322, 691014, 448199, 949048, 16649, 141315, 189431, 282314, 823921, 201831, 936247, 191610, 863448, 169282, 561795, 887055, 276518, 916237, 440085, 762782, 232014, 100717, 798290, 500897, 756787, 141006, 904855, 407581, 459096, 515742, 544222, 641138, 587069, 495128, 225323, 568639, 658502, 680275, 255196, 899716, 330858, 408429, 694416, 837899, 487812, 382677, 76987, 483768, 28272, 424405, 211544, 243320, 562911, 371856, 682307, 241725, 199250, 984069, 155346, 840954, 881621, 542095, 37816, 688243, 805660, 495345, 446584, 39434, 316750, 946042, 165348, 673834, 42171, 497722, 571767, 289153, 948987, 186259, 206117, 4527, 389528, 499975, 658416, 459217, 117753, 194259, 547836, 761667, 851058, 895329, 789035, 574081, 827911, 330980, 699867, 410288, 478715, 62767, 975518, 49145, 48899, 458419, 524790, 985778, 148269, 717510, 715079, 373393, 407257, 753790, 6425, 47899, 113689, 582648, 221911, 264682, 287782, 267057, 712261, 223031, 689135, 553638, 789914, 51326, 571404, 799860, 578000, 827708, 256703, 578541, 392730, 939492, 222431, 827698, 325689, 447307, 887419, 838136, 40458, 295210, 397370, 900865, 781982, 777538, 199189, 962337, 872010, 330146, 411333, 328674, 318634, 963803, 496164, 340854, 767911, 290025, 399211, 986587, 206862, 205105, 774527, 545616, 198184, 382824, 379867, 170591, 460816, 794961, 752800, 71141, 613484, 600726, 935351, 154695, 819579, 312217, 573563, 918029, 714889, 728158, 572670, 827907, 844878, 105308, 628032, 579955, 644615, 67237, 141249, 590240, 605335, 2925, 381350, 83677, 213279, 229906, 247266, 811534, 817317, 141889, 168038, 816492, 978458, 112065, 170601, 944790, 861626, 709117, 73107, 958262, 874139, 192613, 760982, 20849, 491215, 763360, 154514, 831048, 418107, 29090, 489534, 897792, 917363, 660094, 706020, 872439, 856225, 598956, 297691, 485766, 705926, 766659, 457964, 223959, 752957, 888853, 19027, 880975, 70659, 302457, 886462, 1605, 127323, 981149, 763998, 818655, 290816, 670418, 702425, 501260, 249708, 199522, 219461, 941536, 493517, 979458, 494075, 565249, 678287, 126936, 562584, 882898, 360058, 904667, 160454, 850735, 765661, 168661, 798178, 830537, 133964, 828664, 488365, 62987, 733404, 928645, 747536, 102651, 828234, 172537, 275546, 861203, 487184, 415892, 309077, 558190, 235076, 329267, 305711, 654433, 212268, 447400, 715531, 526494, 151596, 816626, 289862, 217559, 942085, 971905, 63799, 74123, 960809, 697140, 439169, 941284, 980808, 292558, 816117, 621577, 975624, 146870, 497662, 726709, 563000, 473859, 397617, 888493, 255496, 338602, 678613, 334072, 518805, 770457, 397682, 481962, 932227, 914420, 881412, 396413, 482196, 720910, 192563, 772857, 136093, 465475, 378358, 935543, 130866, 486370, 672175, 529975, 464713, 777037, 784212, 947287, 672296, 188607, 150991, 653494, 149733, 948723, 622327, 12290, 686106, 156657, 963328, 52250, 821630, 116958, 591547, 938982, 242717, 748158, 47141, 699227, 475551, 328121, 521273, 533124, 67148, 892880, 615021, 17049, 360326, 899715, 230349, 549448, 541209, 421117, 71370, 862826, 252810, 547863, 827021, 636644, 906094, 308097, 299410, 218913, 591247, 457244, 443028, 686683, 425531, 745622, 906904, 558223, 647605, 459032, 632907, 189820, 730474, 374473, 964510, 704117, 543371, 385152, 443636, 847305, 227825, 376753, 864416, 682884, 421512, 422593, 497570, 880202, 918137, 659046, 163894, 942738, 731382, 40016, 368313, 621758, 251650, 428679, 976242, 479166, 861493, 245417, 969032, 519087, 496084, 910235, 760953, 136872, 245233, 187213, 19574, 59770, 243556, 168648, 829444, 774574, 79909, 470968, 325955, 571096, 936126, 365221, 527885, 32348, 735542, 664383, 588526, 595717, 719372, 220302, 317288, 598699, 928745, 61469, 107147, 279081, 25108, 121547, 832000, 549332, 465532, 526745, 645175, 509479, 680588, 867618, 412372, 483392, 821725, 967928, 560224, 393133, 589056, 871352, 564633, 681350, 60058, 812148, 305001, 203503, 51440, 583358, 264592, 842902, 281014, 770663, 390688, 542218, 774837, 688773, 196544, 970241, 175967, 343293, 548858, 873380, 722181, 67648, 936124, 345459, 169901, 318678, 933397, 574784, 513828, 478148, 885664, 7228, 18438, 712771, 460686, 916707, 903490, 462423, 400865, 570284, 405630, 113642, 90179, 195314, 837585, 398343, 964765, 369416, 391653, 250404, 458435, 745043, 168214, 122089, 52012, 408198, 97480, 332816, 291006, 316382, 317214, 839518, 89440, 54597, 521686, 231490, 378302, 327591, 489759, 787615, 590442, 147740, 417295, 778455, 119923, 844254, 527773, 202370, 717277, 404645, 507633, 352103, 270774, 526872, 132866, 461062, 566564, 417432, 146932, 176887, 253592, 377679, 893250, 424709, 169078, 523621, 44177, 247104, 508722, 429560, 194557, 616412, 596753, 940532, 458599, 726393, 745033, 38601, 924942, 396086, 966767, 632131, 293373, 674753, 349946, 886162, 821820, 172768, 420478, 337663, 847422, 621861, 214726, 875167, 839655, 577387, 181736, 194654, 776919, 417057, 496185, 367760, 853423, 108981, 970993, 257254, 523940, 989119, 47846, 791687, 747322, 243656, 916199, 830912, 713990, 910983, 348272, 451683, 652033, 616189, 63122, 660717, 774087, 505452, 263780, 974386, 5457, 914579, 165342, 710360, 319589, 585104, 450948, 883822, 680124, 156513, 749757, 225054, 798523, 594851, 515121, 33762, 373493, 195418, 124431, 828037, 292381, 143565, 451317, 734178, 359406, 281754, 581958, 618978, 248440, 929205, 198515, 486779, 534598, 711656, 764228, 78258, 906400, 953244, 927826, 904038, 318483, 271296, 660428, 720154, 597802, 636541, 420233, 359857, 48535, 23204, 560750, 506314, 797737, 873911, 12194, 57878, 811150, 877016, 122960, 585988, 560141, 809420, 272824, 40525, 339138, 949672, 280715, 873225, 455339, 389589, 443606, 67867, 587097, 505788, 527548, 524245, 705246, 15219, 509868, 275545, 651579, 212914, 945706, 260100, 426327, 613542, 792906, 301264, 287049, 331043, 773810, 666210, 367432, 724943, 179536, 536740, 551133, 569888, 217949, 535610, 717137, 570538, 837631, 174406, 917288, 550011, 195986, 605925, 343041, 180921, 436911, 799795, 798119, 986848, 44584, 416778, 578328, 790695, 143027, 506950, 319643, 985597, 23976, 818013, 471671, 178649, 854123, 144467, 942735, 597719, 60196 ]
990,029
[ 5451, 251577, 683454, 349972, 320538, 826943, 3977, 492385, 581391, 382778, 656643, 312528, 651893, 889683, 359549, 835780, 128051, 638347, 811632, 656851, 869959, 957682, 445741, 534888, 329906, 83387, 457462, 578309, 967729, 767081, 870717, 96925, 980113, 890314, 75174, 175893, 786352, 363784, 62881, 390573, 676978, 909353, 784508, 176324, 288389, 919241, 932344, 487533, 950985, 722335, 302943, 515803, 175954, 626488, 738561, 105, 475451, 453940, 693342, 248753, 636304, 844101, 875029, 630392, 792907, 325011, 311780, 182694, 858457, 30896, 746736, 308387, 530767, 597984, 445680, 776582, 470372, 366147, 899673, 492201, 438823, 972492, 43063, 125652, 913912, 378049, 395375, 913771, 524512, 411095, 335589, 982453, 904826, 898978, 373373, 434302, 265140, 707670, 164315, 893924, 576622, 161156, 186765, 767095, 519074, 133326, 334173, 243400, 96074, 655822, 113308, 517478, 243000, 370192, 637027, 610932, 484932, 19263, 298917, 345833, 127419, 505860, 163149, 862547, 624738, 221130, 578063, 808984, 360699, 569031, 41039, 334024, 98077, 133361, 889590, 787800, 69147, 217792, 922323, 555922, 87333, 932032, 588894, 388450, 756003, 93027, 358439, 347235, 104604, 880993, 332735, 743753, 383018, 150071, 868711, 643438, 830573, 611480, 558748, 58699, 722841, 312107, 274133, 710890, 208775, 846857, 647171, 908618, 799519, 612476, 602551, 530616, 402994, 595669, 18445, 283581, 610505, 771034, 875652, 900622, 338920, 167698, 311177, 156075, 955700, 780091, 512825, 362631, 263232, 509948, 504474, 459539, 838594, 405126, 942418, 58375, 126722, 965840, 266717, 669256, 787521, 894929, 459745, 5029, 391863, 805010, 528750, 191894, 48414, 490511, 907434, 72263, 185491, 532245, 55708, 427769, 924844, 796588, 138187, 435931, 717501, 160364, 45291, 381090, 778074, 872399, 593381, 512848, 762007, 786254, 82476, 712656, 15055, 92714, 106568, 201341, 410693, 738673, 857548, 756973, 958651, 62431, 115913, 78776, 953644, 193793, 626973, 95227, 462272, 457456, 279505, 381340, 920480, 917538, 286058, 516501, 555367, 747638, 341911, 60297, 195999, 964105, 925166, 258125, 874828, 239748, 45482, 22775, 699702, 893352, 334767, 451698, 96261, 190444, 806071, 917862, 157049, 228938, 914731, 141879, 503787, 474718, 614108, 893816, 641268, 321648, 980117, 918565, 682799, 308578, 775942, 132082, 202284, 294699, 111961, 65239, 437783, 763488, 966566, 640757, 338928, 118964, 551753, 86334, 882231, 246514, 27675, 587640, 185936, 875563, 798320, 444263, 554181, 399099, 976221, 333518, 62356, 41327, 705227, 339600, 681607, 253417, 804670, 718798, 425158, 611752, 381615, 664277, 911916, 736545, 835125, 298945, 633336, 793740, 441015, 126713, 267432, 322413, 429592, 501797, 225571, 929939, 871937, 621302, 90384, 640043, 856339, 967777, 690713, 829781, 615578, 224978, 803355, 502876, 346300, 538262, 915572, 135462, 51472, 222962, 164848, 897119, 408656, 554780, 959736, 58371, 674674, 621028, 875063, 448174, 422104, 206571, 655372, 25387, 638647, 944611, 327050, 855530, 422337, 659468, 531560, 767867, 742388, 471795, 234038, 729646, 938230, 31627, 316215, 653798, 438674, 53911, 865872, 770131, 867828, 51972, 268941, 945644, 298693, 539825, 64568, 725902, 391601, 984055, 430596, 965624, 517593, 875650, 754478, 765787, 651437, 211110, 272249, 949488, 251239, 116199, 781465, 413865, 271287, 177460, 730143, 555647, 816207, 251972, 845899, 44457, 201601, 739289, 770107, 667110, 201990, 70231, 195012, 31653, 916332, 361135, 524317, 230299, 332576, 543827, 532057, 286508, 736222, 396633, 622629, 514660, 162056, 667764, 23897, 526035, 575587, 593250, 276833, 311485, 838102, 859639, 831273, 129735, 872192, 985065, 626653, 813907, 581894, 927217, 303949, 68674, 285921, 565286, 805012, 123558, 357361, 942361, 606249, 611167, 727606, 266187, 488033, 928914, 604706, 673278, 616772, 90720, 310958, 425099, 512834, 851316, 789384, 30140, 49480, 856633, 768954, 651927, 338538, 415817, 582262, 643091, 921530, 24870, 441039, 889212, 276633, 253796, 235155, 603515, 129521, 230297, 209753, 869239, 16672, 245914, 358793, 207813, 704196, 883324, 96801, 444035, 310788, 231437, 762393, 369275, 19811, 225358, 741899, 188524, 443671, 864022, 92948, 670474, 369091, 842043, 82561, 63934, 486479, 534574, 51064, 727265, 247027, 354110, 536598, 351495, 443906, 717733, 839020, 423604, 941690, 909178, 813895, 351885, 840555, 644450, 257273, 198320, 167560, 961790, 610065, 296234, 788956, 434587, 342957, 777310, 622891, 168835, 496949, 595054, 267760, 445672, 88214, 219644, 454363, 468999, 103524, 200792, 929596, 219262, 836981, 583028, 657979, 567070, 511734, 56121, 712914, 679208, 861208, 845783, 885460, 839687, 953638, 663677, 786664, 57755, 317143, 903065, 915708, 982868, 155788, 563224, 335304, 410933, 473667, 332589, 797817, 376535, 392356, 970078, 166188, 194029, 571631, 452477, 229346, 274751, 957136, 49521, 402173, 485277, 114050, 854151, 936718, 563442, 630780, 241595, 116302, 625966, 979306, 310980, 765518, 734314, 601254, 626114, 661495, 61929, 77823, 419301, 93117, 360999, 698536, 270259, 446316, 908033, 681792, 914069, 288380, 50909, 712736, 961415, 810005, 406191, 16880, 351005, 190995, 311673, 538822, 376086, 863360, 505929, 887470, 95566, 570212, 28097, 322240, 866929, 43218, 599426, 767520, 320306, 737570, 354928, 75588, 694870, 19573, 400875, 268982, 408568, 387029, 765778, 837075, 758154, 760902, 387804, 827159, 653409, 489709, 978732, 428803, 772196, 190314, 432524, 220269, 924011, 898928, 478609, 371993, 355272, 214325, 343968, 972622, 172241, 302070, 451306, 160227, 68554, 239490, 150159, 256664, 622100, 212395, 730542, 248054, 671004, 598986, 984447, 258747, 241301, 560701, 765275, 730520, 839025, 686972, 252320, 304546, 367761, 43766, 281986, 404586, 334677, 856505, 312005, 162341, 540763, 544272, 866684, 641029, 51431, 848011, 32618, 319640, 511627, 155696, 61040, 768875, 442358, 455483, 771025, 77141, 562140, 646331, 658730, 122401, 411791, 166131, 975949, 928656, 416660, 61763, 735878, 912585, 383264, 620697, 246779, 904287, 860913, 491868, 568743, 213961, 523658, 828134, 509444, 814784, 104520, 551532, 774393, 62008, 324317, 879497, 692741, 477164, 129630, 105730, 550208, 521732, 467368, 434080, 18639, 540744, 366287, 335733, 445495, 782476, 781212, 447590, 838038, 233441, 789640, 133055, 430841, 388257, 337580, 690220, 507087, 180995, 239870, 413195, 60210, 550945, 478706, 821336, 956154, 798719, 355456, 653458, 268320, 681472, 432174, 277966, 145124, 708025, 788720, 766652, 38002, 401945, 605608, 774401, 738489, 537636, 166330, 939851, 906725, 38484, 41435, 905361, 326843, 947353, 472913, 377414, 332763, 960050, 940562, 739936, 704326, 158719, 74857, 332643, 814346, 931967, 832237, 921334, 384889, 819719, 43906, 19543, 301018, 641357, 99423, 542656, 209019, 940883, 32959, 324395, 385555, 826868, 365422, 867066, 42771, 464074, 537498, 851715, 724509, 812504, 852591, 444843, 863896, 352224, 40513, 809691, 859065, 268024, 862290, 752314, 213932, 746286, 568646, 629220, 223726, 889311, 89207, 929466, 552962, 242505, 35926, 570770, 326440, 404979, 9606, 931063, 865140, 207380, 467059, 93584, 667142, 102759, 350555, 816549, 157144, 297141, 230746, 845921, 865895, 33964, 316397, 402315, 467267, 367679, 403495, 95464, 732842, 595951, 93829, 137738, 727281, 113829, 8692, 364389, 515873, 633527, 302850, 857319, 594036, 104838, 428148, 831016, 268579, 649095, 598691, 246452, 891890, 183505, 980939, 851193, 511111, 406881, 956095, 537592, 762946, 65643, 493650, 446385, 188391, 921992, 398146, 349948, 749991, 248731, 206701, 885626, 290158, 833130, 323540, 566659, 973439, 719278, 312736, 446833, 258490, 386464, 236449, 129326, 664516, 439108, 350829, 524607, 24918, 936679, 753232, 978439, 555308, 397448, 714785, 265318, 892492, 572789, 825893, 646960, 138674, 312208, 799713, 309355, 485439, 434759, 885722, 659946, 626626, 42998, 945430, 218664, 767054, 986224, 769843, 590070, 365038, 72863, 200870 ]
990,030
[ 38017, 638487, 805589, 3863, 971097, 837560, 918016, 716506, 691264, 280428, 797435, 788415, 473094, 3517, 710283, 626949, 368153, 789726, 610531, 217169, 783017, 529068, 472537, 402758, 941513, 559209, 364974, 128171, 814815, 485153, 634937, 818228, 650746, 862583, 596075, 828781, 713130, 396602, 148441, 70350, 835854, 883887, 688279, 490878, 567849, 612419, 139671, 487498, 428380, 376837, 951298, 382364, 500944, 680417, 713449, 927015, 749721, 627050, 518142, 691190, 433510, 896752, 709229, 144110, 88606, 43893, 764247, 767541, 307353, 735425, 582238, 303565, 824356, 125028, 93893, 466811, 441673, 583908, 620242, 471293, 920771, 792061, 947795, 48013, 29996, 478859, 174328, 357610, 225044, 686525, 342318, 4072, 217915, 750192, 407279, 44495, 207850, 854387, 422185, 280468, 794682, 947986, 325107, 521722, 610482, 397918, 534281, 541572, 790835, 830354, 105507, 814376, 755133, 111910, 195427, 29389, 692558, 413362, 202124, 882722, 76353, 197260, 603209, 455591, 509700, 808774, 785037, 483047, 518287, 584694, 806573, 111608, 578594, 645807, 341284, 322620, 516357, 585699, 644358, 593055, 285327, 456675, 30547, 739191, 728617, 421527, 707770, 291555, 702951, 97778, 868263, 560570, 3331, 526338, 516576, 245401, 816523, 526637, 938257, 642129, 654948, 152966, 696640, 712692, 831397, 260763, 92224, 718261, 295348, 78662, 236705, 891451, 550289, 192075, 581965, 945883, 937853, 314207, 320314, 790670, 63051, 123095, 106939, 967927, 639115, 499976, 898113, 454884, 816587, 889971, 551875, 250323, 249256, 242470, 125091, 105583, 248660, 523987, 632569, 823872, 189605, 699514, 595532, 811721, 132192, 572503, 511281, 599764, 949583, 313843, 10975, 468784, 152429, 451581, 717508, 547969, 115622, 727358, 415507, 314691, 202098, 128982, 14926, 207402, 650326, 399287, 171310, 948261, 463510, 303549, 937211, 32893, 37179, 122740, 265070, 457147, 917967, 425218, 122283, 609604, 44513, 287305, 882990, 161387, 364722, 523066, 861766, 488884, 934505, 751964, 759663, 180356, 289270, 201054, 369251, 903881, 63189, 57074, 499384, 26792, 659157, 312037, 663362, 641914, 494855, 310790, 556561, 317798, 406286, 830845, 545135, 374231, 672711, 779841, 33240, 15701, 848073, 215121, 858023, 931739, 170151, 626354, 707989, 316158, 498906, 43341, 547424, 546790, 674604, 166096, 592659, 198420, 407433, 675605, 71558, 966900, 313982, 87058, 94464, 290850, 203400, 293776, 735008, 368117, 439552, 107483, 378373, 536777, 698295, 5936, 496689, 427013, 522309, 298315, 616417, 36738, 787607, 296387, 861711, 648197, 329802, 232880, 585109, 158797, 446512, 588679, 125822, 776739, 512668, 872233, 822326, 357406, 970044, 258552, 421801, 799718, 774711, 859056, 163503, 446094, 941433, 785189, 454050, 247053, 844480, 256992, 933202, 856932, 311928, 370144, 453467, 466139, 160316, 219206, 706322, 657484, 727279, 424192, 626675, 522664, 226951, 267338, 560139, 487568, 730780, 518248, 405523, 164068, 498554, 74108, 6724, 274634, 737526, 951572, 238585, 922664, 359778, 387497, 405265, 49992, 566629, 773714, 852734, 949570, 322237, 602802, 128567, 798739, 321793, 366329, 902785, 177517, 840601, 648085, 643206, 668075, 471454, 191207, 450208, 460494, 504006, 845116, 722160, 179312, 591688, 809733, 972298, 869103, 556404, 943224, 743606, 877773, 675822, 131979, 208543, 352722, 374420, 141430, 49184, 696405, 611701, 791067, 58307, 735570, 659469, 790568, 159703, 684993, 538402, 124737, 101656, 574324, 75745, 356424, 259598, 764802, 179633, 3026, 685836, 379958, 482305, 522406, 40595, 897570, 365423, 71936, 137956, 792320, 872410, 804086, 953848, 717123, 751207, 770281, 949653, 445662, 508253, 948971, 834617, 167147, 181614, 835764, 973329, 67686, 202540, 342846, 284635, 428782, 151616, 693436, 393928, 661456, 274967, 33137, 928877, 81981, 735700, 445462, 577156, 471359, 457736, 730705, 435330, 69116, 369160, 937594, 350656, 716142, 290471, 41050, 405995, 26146, 756828, 309173, 359831, 705638, 258786, 508224, 127153, 729147, 977169, 648187, 580746, 618915, 622850, 281388, 287646, 272976, 515306, 785739, 448940, 82899, 872905, 22939, 885536, 123488, 770367, 974928, 373190, 834076, 410315, 349217, 527194, 340987, 659857, 201738, 982571, 673944, 154167, 47010, 108698, 314412, 938494, 91857, 849433, 413778, 95813, 190329, 954660, 693570, 941776, 761040, 590514, 750622, 367076, 213526, 297631, 747057, 642286, 692436, 289102, 712752, 185322, 243217, 750135, 801900, 108635, 467566, 412881, 403254, 889469, 574373, 374762, 800947, 897617, 318421, 459521, 99215, 801032, 413064, 658427, 643384, 585913, 115567, 899639, 724447, 424520, 822791, 358332, 766432, 948583, 797723, 289436, 636162, 315637, 119160, 301182, 904925, 142164, 751533, 43744, 419571, 180809, 612717, 101626, 912031, 441563, 843869, 363234, 522140, 225993, 99653, 441144, 789699, 667640, 604883, 959302, 970606, 463177, 389072, 157330, 41004, 100170, 967581, 921801, 286996, 548263, 454111, 886161, 69474, 824971, 236121, 75173, 956072, 569682, 923287, 574275, 415915, 509345, 160929, 547239, 973577, 201664, 242060, 205731, 939346, 225569, 675700, 353806, 549094, 644698, 939595, 879145, 639539, 283333, 80896, 444350, 311903, 779529, 188498, 958304, 93882, 879462, 5273, 805715, 592614, 208, 308923, 824649, 632422, 587457, 444198, 612014, 304231, 201844, 160897, 228941, 465395, 814534, 492797, 313414, 1076, 970702, 121930, 532914, 810834, 581837, 822225, 660340, 419784, 729399, 826098, 74610, 118186, 312276, 136181, 252984, 959765, 487335, 91875, 554860, 875302, 7268, 775108, 937878, 73751, 488317, 113770, 190697, 396342, 257459, 635371, 696298, 194962, 231872, 580103, 117767, 333225, 752331, 988947, 760462, 986602, 110361, 160765, 668004, 27422, 863329, 543796, 380966, 757067, 124582, 147620, 934964, 243987, 613120, 624287, 671353, 892868, 159345, 172147, 955397, 689785, 837591, 790921, 826895, 715757, 76687, 499109, 48776, 925649, 574934, 720527, 449938, 880981, 196535, 132824, 186032, 782656, 943814, 865128, 451172, 385824, 321487, 881436, 370651, 199171, 20257, 775945, 933692, 379512, 247539, 809454, 394804, 936909, 953898, 527006, 247965, 730228, 280560, 873967, 700376, 800881, 517587, 521671, 491200, 802316, 927585, 196352, 271650, 945940, 384753, 784733, 899146, 564757, 423024, 157100, 976782, 656828, 964779, 459119, 803273, 333652, 269667, 768289, 959853, 953840, 518707, 914248, 411169, 300665, 305470, 576422, 750761, 215139, 531258, 578443, 514359, 355483, 425566, 178498, 921957, 853733, 299649, 823124, 338355, 407436, 488821, 651266, 723255, 872972, 930970, 318541, 447694, 958614, 653768, 459402, 219514, 836890, 742926, 907519, 360381, 780664, 912517, 953480, 671072, 755516, 164744, 310170, 856552, 350598, 447450, 923451, 384434, 828331, 87278, 749212, 446062, 430912, 237813, 121870, 403759, 450516, 96151, 627421, 16300, 967221, 905991, 63449, 418526, 256381, 13426, 245564, 688865, 326738, 370189, 774212, 168503, 406310, 808059, 925319, 116608, 179914, 281958, 904832, 965546, 477320, 161369, 463119, 21434, 336723, 11030, 110919, 835396, 382232, 121418, 11243, 919432, 27947, 893370, 520622, 264539, 699155, 50519, 698171, 498665, 833359, 228216, 686197, 841757, 729337, 170119, 603663, 97644, 980815, 394440, 962569, 39426, 567835, 463825, 231220, 84829, 253327, 277197, 576322, 366971, 642336, 190832, 151851, 189876, 890352, 910332, 264951, 738241, 366888, 86468, 888659, 325586, 867544, 922110, 901432, 103050, 138656, 822993, 330131, 491946, 448635, 879492, 828651, 512917, 721458, 795176, 713156, 517921, 215543, 72493, 320105, 83007, 104283, 246922, 96471, 154896, 455408, 116538, 202205, 143095, 470461, 176916, 816890, 540291, 15631, 883458, 30633, 607709, 662716, 176260, 82610, 280873, 613424, 533943, 652111, 960160, 11223, 885223, 316864, 837033, 935503, 918440, 384116, 224189, 694369, 135184, 655153, 347923, 653442, 143055, 797336, 887762, 243934, 125245, 120510, 38849, 71498, 445981, 2881, 808288, 288966, 815872, 245638, 773160, 654793 ]
990,031
[ 79683, 953915, 539189, 92762, 116309, 793500, 273503, 915277, 113049, 484775, 742062, 345659, 102439, 880683, 13297, 40045, 620928, 129554, 7442, 423167, 650895, 272418, 473528, 290521, 944204, 789025, 279333, 58814, 229844, 533815, 804512, 130219, 380083, 833047, 946364, 491463, 534573, 463006, 786976, 433604, 192460, 719985, 556442, 139567, 375342, 840314, 866574, 232233, 293799, 892059, 354884, 276269, 710585, 902136, 23919, 448864, 365439, 625463, 555343, 137691, 951475, 679610, 469559, 353238, 420060, 220204, 832326, 793139, 143283, 846211, 198727, 743111, 890480, 204658, 967260, 184023, 822260, 544609, 543756, 507101, 892718, 608934, 546316, 557155, 844726, 936872, 858236, 445740, 383132, 580196, 342369, 807811, 142798, 886173, 983745, 940500, 245947, 982146, 60242, 123689, 523231, 556389, 338146, 525068, 153979, 558381, 756122, 311039, 915795, 487793, 247952, 531800, 527929, 170342, 217668, 924237, 236795, 810616, 263387, 103589, 713085, 554689, 169830, 56163, 80008, 291723, 509498, 338834, 325698, 877182, 148863, 255532, 330468, 8882, 813746, 842422, 478181, 484761, 817847, 857011, 733189, 593429, 824975, 68358, 877110, 293779, 284034, 688666, 165473, 471528, 233187, 839264, 654228, 273461, 64755, 468424, 370742, 895724, 191308, 416481, 977576, 446941, 114342, 726383, 870681, 63333, 799613, 764176, 449057, 117, 778475, 590741, 735210, 982772, 890011, 550484, 897134, 523537, 352747, 327810, 80785, 500397, 300986, 909389, 469198, 58086, 69031, 795966, 128983, 640324, 165613, 416796, 67098, 292427, 861138, 807935, 905909, 764529, 468001, 478565, 613301, 481884, 595932, 546196, 34409, 100894, 361370, 206692, 327153, 687041, 274341, 584275, 525666, 639114, 142791, 46740, 814824, 422626, 728579, 18840, 280382, 71999, 369098, 267446, 805479, 441303, 938750, 222873, 226737, 402609, 325559, 67758, 754818, 37288, 326715, 420681, 735194, 471672, 637095, 450191, 9482, 277113, 661305, 44303, 163066, 730016, 926345, 633330, 778261, 639046, 563790, 651164, 297896, 440054, 334502, 74700, 837376, 956566, 375717, 413260, 368781, 529782, 128618, 687872, 386498, 191277, 335316, 216334, 796225, 441881, 81118, 5113, 563021, 904967, 103094, 475763, 454684, 928225, 576945, 563203, 144182, 804401, 147593, 912612, 984410, 400047, 660975, 244794, 455146, 823106, 746112, 233199, 238786, 308445, 209093, 740781, 208859, 291876, 313339, 10517, 700452, 883264, 106077, 702091, 980863, 270612, 793871, 904468, 405369, 954340, 953327, 410060, 123583, 133999, 803957, 926453, 924628, 143841, 275336, 320701, 952989, 480240, 882421, 765549, 337360, 464333, 54041, 800865, 44138, 651178, 145154, 858085, 328056, 480343, 967288, 875387, 307210, 844044, 938690, 244684, 629668, 564960, 56480, 948036, 909995, 704643, 949377, 456194, 977721, 823287, 514977, 984685, 282579, 5910, 143301, 901370, 233832, 203536, 924428, 440951, 669524, 210786, 367931, 336932, 526465, 81852, 985968, 339675, 583401, 246491, 969549, 619482, 489735, 833789, 297244, 233811, 151614, 240437, 384917, 397087, 257156, 652931, 968835, 893509, 741987, 741817, 841527, 291908, 884512, 310278, 493716, 549921, 109525, 407894, 214736, 198254, 81704, 701839, 124173, 106122, 574181, 89438, 719130, 572236, 382046, 833562, 133493, 775781, 772761, 737185, 93475, 412816, 316506, 764530, 80734, 948193, 791604, 934340, 683925, 813570, 419099, 166089, 268642, 136574, 252428, 435695, 691046, 505063, 15073, 304433, 200803, 635344, 804224, 10363, 963640, 344098, 863779, 986220, 102780, 611447, 641528, 611754, 56550, 266895, 436115, 313308, 724098, 471534, 375294, 555670, 821349, 778073, 329243, 30886, 217575, 568820, 607036, 532517, 295874, 455716, 458245, 529823, 558165, 443508, 940448, 451393, 50619, 887138, 18283, 427122, 718685, 155568, 335196, 73967, 563612, 783111, 634768, 884614, 948061, 771773, 534319, 832838, 64560, 721098, 833650, 152244, 309651, 925, 51551, 145362, 873377, 457395, 440033, 624052, 255821, 801408, 257251, 276527, 249988, 647472, 524475, 119409, 47332, 457517, 437240, 530066, 241852, 887431, 712500, 987621, 193666, 873678, 175280, 563663, 47478, 114224, 395092, 332461, 432560, 161793, 164599, 238138, 688834, 263147, 779000, 291544, 914532, 960776, 862001, 265475, 338084, 318809, 238383, 312523, 536760, 684261, 494789, 214230, 784670, 145748, 220505, 225172, 890230, 13271, 37422, 734898, 33770, 519023, 97686, 810808, 772997, 866989, 754918, 731327, 565821, 586515, 121951, 27866, 371729, 633162, 3063, 149511, 923871, 906370, 722053, 902166, 16112, 244151, 32159, 356255, 346717, 390344, 185556, 631164, 493357, 565914, 665091, 354501, 596473, 884939, 504157, 709904, 427950, 529593, 598333, 242569, 808173, 966020, 196861, 47051, 452947, 709546, 311337, 878915, 845520, 453699, 658351, 805249, 966790, 881949, 268191, 958593, 72709, 957354, 364509, 45622, 409344, 438432, 955391, 762599, 43257, 820456, 546619, 987777, 450997, 664126, 340824, 247890, 745552, 553292, 249878, 301800, 894720, 798248, 369774, 201837, 444368, 855948, 649682, 453316, 380164, 823966, 670166, 524923, 34419, 527719, 523787, 512618, 226858, 658785, 547320, 442200, 369596, 116556, 524185, 419257, 866640, 32438, 318784, 736418, 6968, 45739, 511863, 304799, 923619, 420953, 142527, 556105, 544585, 74331, 479802, 154388, 229931, 65962, 449338, 911558, 6820, 489181, 204648, 955014, 788166, 134029, 558411, 817683, 14814, 885762, 772048, 510475, 792087, 738864, 886300, 693865, 884264, 794879, 227936, 142187, 281143, 327967, 183336, 796440, 689021, 948893, 555216, 972616, 792292, 313204, 118040, 52056, 765623, 794787, 964976, 700441, 249838, 970068, 637056, 272091, 940152, 171471, 825138, 382866, 473463, 341969, 247507, 588599, 862996, 172188, 412138, 686297, 565886, 440586, 182306, 496278, 967227, 33178, 258046, 637739, 322226, 67336, 780113, 21960, 188400, 983235, 535937, 411725, 441106, 226795, 302592, 891806, 180593, 787796, 639655, 811404, 129285, 842514, 642209, 60300, 925684, 85412, 42038, 72430, 920870, 963764, 591429, 100783, 672576, 130010, 712857, 839211, 181612, 678893, 883277, 569095, 4360, 182437, 159152, 553605, 501114, 246853, 375924, 776526, 547884, 788123, 29825, 569464, 301726, 978430, 606110, 815662, 425546, 490376, 713521, 441758, 151500, 139053, 945162, 953992, 393216, 422978, 637795, 104788, 16940, 295530, 391046, 982786, 446303, 950874, 456189, 127453, 180940, 785393, 254384, 163639, 409336, 216392, 448989, 442370, 569061, 947347, 113743, 296929, 177157, 377082, 525641, 202307, 885128, 752943, 595551, 769901, 387308, 88525, 502926, 438897, 951761, 298920, 873301, 255807, 551566, 184329, 928381, 827973, 136636, 271669, 693212, 425510, 374287, 216764, 266625, 711573, 142007, 182651, 854473, 862191, 303129, 679261, 462487, 745705, 484554, 704231, 672466, 940008, 886956, 896003, 756991, 569225, 99616, 368894, 241928, 738501, 367556, 440865, 528228, 333580, 390483, 524357, 909784, 696574, 871574, 285614, 606454, 906764, 731052, 545979, 519360, 816297, 81663, 712711, 637699, 658161, 869464, 656420, 381785, 563225, 394338, 59105, 506681, 334552, 230859, 452652, 134048, 692572, 675871, 112216, 142279, 36691, 914602, 375829, 748001, 59184, 485443, 925356, 68140, 453222, 944852, 807076, 249969, 433164, 318965, 6441, 101650, 376481, 989971, 334239, 408186, 870883, 437580, 25031, 877606, 329011, 163880, 512369, 254636, 386864, 218878, 384972, 179453, 610503, 837780, 34647, 148749, 980630, 985793, 277191, 818035, 851011, 390044, 232916, 143248, 256281, 100610, 143013, 252245, 898935, 100425, 418806, 866044, 91490, 947998, 455802, 754916, 934039, 90414, 854070, 570925, 917860, 80203, 112752, 789325, 191604, 637196, 21293, 730371, 418360, 389417, 121712, 634649, 119970, 829896, 386912, 194293, 294876, 270283, 33774, 211721, 723060, 733257, 514394, 404887, 914306, 271157, 800690, 689524, 427415, 878972, 173302, 619991, 952071, 376043, 506942, 985670, 455643, 928341, 931874, 447064, 226500, 855351, 981277, 339876, 483593, 16326, 887318 ]
990,032
[ 905854, 668373, 93055, 137186, 650134, 387083, 311708, 307767, 339151, 833382, 682996, 31015, 632370, 520123, 979891, 534760, 277040, 770935, 615482, 257602, 120616, 305014, 533134, 973205, 542126, 57217, 180579, 952709, 221914, 841263, 155348, 934022, 211530, 83935, 810850, 181281, 234200, 785580, 262463, 234952, 45037, 40797, 361815, 590783, 330776, 279537, 480738, 297295, 567448, 255743, 104031, 265176, 61680, 694506, 647077, 38592, 263086, 579675, 594064, 369300, 698057, 733117, 98784, 61717, 870390, 189704, 262621, 575270, 634642, 444291, 710608, 419213, 768680, 172216, 838405, 228302, 316321, 868524, 400058, 134934, 622340, 812617, 288793, 506840, 868071, 46523, 318726, 613679, 429258, 36727, 230097, 542855, 458186, 767028, 660827, 52386, 753254, 895983, 777951, 511094, 740352, 831695, 558353, 481139, 791434, 605991, 977279, 663130, 273419, 478375, 381052, 469944, 904514, 203979, 29004, 773582, 332339, 874850, 29451, 163746, 789831, 110848, 276134, 452002, 98444, 283076, 786931, 1307, 261544, 609080, 467678, 812721, 615179, 721813, 343616, 749139, 600842, 966524, 101431, 287730, 14273, 508471, 511847, 528964, 386333, 469940, 668757, 918983, 739052, 592389, 143207, 198857, 110861, 617043, 186711, 754566, 134888, 843310, 37454, 895799, 945292, 473772, 738779, 426896, 138598, 144587, 447066, 902205, 930599, 668452, 359752, 963692, 911210, 230359, 341074, 492190, 301245, 168072, 745948, 516304, 934085, 439716, 737242, 484177, 471834, 657067, 470349, 680900, 623573, 265534, 372879, 947993, 52311, 492197, 345404, 584674, 722685, 341413, 679747, 707187, 388020, 816868, 668967, 306638, 641036, 88367, 929198, 262566, 768368, 274860, 529708, 756423, 519020, 885368, 596090, 490910, 117041, 389223, 330090, 168517, 197781, 809925, 935786, 148649, 431116, 525997, 177414, 941923, 356516, 683015, 781678, 864146, 972629, 390134, 241768, 619061, 303022, 712844, 61571, 6736, 316360, 347878, 657079, 145907, 792769, 458977, 809659, 33293, 527924, 444658, 979258, 828801, 283791, 927857, 971216, 466450, 636405, 734350, 307228, 607314, 988791, 601397, 485607, 555054, 35571, 423962, 896551, 447409, 485364, 846544, 820826, 498669, 379387, 77229, 758473, 411126, 486674, 64860, 596452, 907020, 525949, 45632, 518088, 118993, 86435, 612086, 802651, 331351, 598498, 414111, 735889, 39093, 705498, 529295, 308092, 747596, 964678, 786202, 840803, 961786, 722704, 321457, 307340, 790484, 374009, 646636, 906234, 264712, 366192, 618675, 2821, 757578, 244876, 176449, 335011, 92727, 938583, 786353, 150384, 810308, 122139, 537081, 477680, 230548, 976009, 881160, 6623, 44166, 916013, 707185, 704943, 405978, 770327, 44339, 611981, 963703, 196128, 148260, 729162, 536880, 719655, 549202, 571978, 562388, 816170, 124414, 568144, 253954, 804090, 203643, 891806, 785727, 112099, 656774, 517568, 974357, 761916, 255605, 607193, 614334, 412778, 419451, 347600, 158209, 725808, 375858, 837967, 750552, 268436, 743986, 563380, 894018, 383509, 223004, 486620, 192287, 579101, 874229, 860926, 669140, 713446, 186815, 94845, 180930, 374237, 193344, 597405, 192842, 882737, 607466, 309317, 189921, 142466, 479860, 874607, 638675, 132782, 103798, 147389, 935367, 74546, 607259, 9504, 304682, 259237, 266993, 742264, 316617, 360926, 577454, 674810, 424672, 788975, 800446, 368840, 446019, 674796, 320930, 676350, 293036, 14341, 913872, 533250, 512137, 696262, 895968, 244274, 906438, 70877, 631758, 187739, 395503, 454786, 74353, 665147, 938695, 599539, 435958, 749473, 806137, 437971, 559786, 754476, 728622, 165783, 622810, 274006, 960296, 806380, 482834, 640807, 78417, 72749, 954089, 985305, 122975, 545709, 625535, 710435, 481690, 99697, 230242, 196778, 984854, 120720, 748693, 29375, 455640, 654218, 907905, 30584, 157928, 379453, 320633, 245580, 770993, 887088, 785438, 60257, 134688, 114119, 241574, 799261, 291910, 481751, 641727, 558945, 983174, 458831, 540668, 519281, 68018, 283307, 249132, 362234, 982343, 214389, 795759, 955448, 360560, 807379, 16918, 48105, 561733, 417733, 432767, 201049, 593368, 593410, 876483, 135447, 66512, 602995, 107400, 107211, 27082, 842047, 527187, 642378, 110827, 875931, 701436, 57493, 172063, 445742, 539227, 469464, 880398, 697942, 198896, 799943, 199832, 434540, 964931, 288987, 834151, 275697, 786845, 426319, 536999, 449234, 956016, 716531, 939354, 829306, 806382, 902544, 610759, 603240, 893587, 586268, 908709, 939079, 307776, 404033, 84344, 651903, 601888, 10438, 355317, 788237, 852653, 276948, 848440, 704570, 305867, 219299, 280615, 313525, 580352, 351473, 152481, 210558, 236032, 291779, 374463, 34243, 143164, 520795, 324580, 828761, 93278, 249038, 946152, 981433, 547768, 908837, 152293, 96733, 268470, 192620, 196667, 291622, 859047, 864170, 620202, 887686, 134406, 110193, 477302, 516002, 440744, 149550, 319156, 13637, 320473, 616784, 195058, 652203, 165894, 371088, 336707, 836619, 758061, 438994, 507189, 718865, 643594, 435418, 897361, 86496, 534548, 778176, 800136, 715956, 281828, 378595, 749626, 790535, 904200, 2668, 194570, 110211, 120672, 451719, 276476, 269791, 874306, 795275, 528684, 192437, 979481, 459485, 950248, 160926, 31118, 159049, 232307, 934127, 41211, 280975, 730297, 771245, 551956, 279468, 863128, 181695, 843909, 834908, 185857, 118807, 588225, 153396, 746166, 521101, 162916, 534601, 876213, 754151, 713562, 399398, 714591, 195612, 988037, 885264, 151473, 127383, 625942, 573084, 784358, 663782, 277272, 181321, 421408, 468171, 72338, 909782, 14186, 545207, 632034, 900261, 758996, 201471, 360235, 624179, 327937, 547655, 344247, 630442, 149956, 601451, 595926, 461581, 81569, 653896, 935052, 922963, 772558, 1925, 363708, 668950, 548356, 832602, 258757, 572447, 191978, 775709, 485664, 401079, 476645, 132415, 2549, 645527, 42102, 593458, 966388, 652102, 17090, 890418, 531431, 291297, 877163, 354212, 76722, 693697, 733987, 44208, 941439, 214831, 325672, 231454, 118813, 134367, 415945, 363027, 510523, 885145, 652477, 114337, 618681, 162607, 359169, 944806, 392865, 903849, 230032, 344340, 597517, 940618, 814735, 490415, 913196, 617381, 255882, 915386, 618872, 134729, 242684, 648133, 826301, 321949, 72855, 663934, 629006, 731316, 49995, 669893, 556880, 41319, 42365, 215670, 189160, 603191, 910204, 458994, 387330, 595450, 736910, 886709, 160798, 225313, 334535, 712290, 350981, 917846, 943552, 237616, 569534, 808231, 413210, 313125, 687114, 180137, 468681, 406003, 960930, 7427, 261848, 10249, 619050, 100896, 225988, 337366, 443410, 174642, 899203, 202694, 394859, 49537, 646774, 160260, 136402, 508088, 988703, 562681, 166839, 904638, 860279, 16354, 580626, 295684, 382163, 875831, 288950, 845225, 681206, 707754, 413115, 747376, 671576, 978872, 252007, 941386, 275223, 369802, 133061, 386845, 348016, 651330, 917889, 893732, 66135, 122446, 895041, 231167, 733945, 681143, 186094, 578764, 316574, 853896, 97542, 319594, 58523, 134717, 123515, 331640, 976606, 71198, 535792, 566394, 689424, 113657, 117536, 696227, 5554, 793535, 416674, 286939, 806440, 577122, 750348, 234419, 611403, 228169, 628362, 77121, 412119, 133289, 351070, 651618, 769950, 424217, 659219, 438828, 144651, 44911, 413629, 171472, 984224, 709668, 19698, 985301, 601624, 182836, 951167, 566463, 85342, 217196, 249773, 116431, 963409, 844418, 200567, 240182, 335075, 671167, 550196, 532049, 145352, 383847, 986705, 265449, 933793, 905843, 577336, 129663, 833049, 652428, 37684, 558246, 158982, 670260, 517153, 482614, 609973, 785144, 803845, 523676, 841389, 593824, 458696, 236102, 708198, 722865, 469772, 856674, 827261, 529019, 427121, 962041, 71643, 727783, 204138, 521299, 823101, 535812, 564986, 670683, 180599, 72146, 949505, 54056, 895230, 764210, 122844, 587815, 315653, 461720, 156566, 903230, 727644, 261161, 338063, 347891, 568737, 806564, 475639, 129609, 502038, 421711, 564790, 279715, 801904, 788090, 80217, 865302, 395077, 262777, 807219, 877201, 529815, 427951, 329703, 106090, 196491, 936619, 107205, 218331, 607371 ]
990,033
[ 830587, 953491, 779212, 181609, 663564, 651771, 247237, 98763, 137708, 285638, 427116, 675453, 213278, 154993, 750540, 263455, 34363, 549302, 983781, 424740, 442843, 337024, 425264, 785676, 90228, 724807, 97192, 69417, 882715, 172990, 417095, 89823, 944079, 282258, 84741, 735823, 643081, 315236, 816177, 697826, 592712, 423248, 926942, 487455, 115083, 476213, 486760, 877631, 35073, 361809, 328257, 251082, 889423, 396168, 907770, 147439, 196574, 906163, 363596, 834765, 869378, 27548, 398701, 876925, 613682, 296112, 327074, 989115, 395226, 718547, 292727, 753839, 541334, 780509, 7577, 775275, 169652, 693331, 922995, 972874, 247077, 730818, 626099, 905276, 977735, 481418, 9057, 348963, 676493, 945472, 8268, 554795, 359418, 565566, 189709, 799048, 729735, 327560, 600701, 468728, 199513, 228821, 357239, 238541, 696363, 240959, 296520, 201283, 798216, 329035, 743556, 958653, 973334, 568296, 335786, 30657, 976582, 204512, 955595, 646445, 94387, 565865, 250871, 871555, 466809, 173697, 676770, 28249, 672530, 554741, 685703, 678846, 716456, 346829, 240286, 766262, 16371, 582305, 362078, 379492, 118120, 726477, 90719, 255507, 305224, 702387, 459649, 913282, 196428, 899334, 26344, 883084, 454269, 928681, 927861, 544940, 734026, 397155, 116421, 980898, 355514, 820137, 936166, 849791, 616169, 762798, 585439, 402885, 246825, 181722, 295619, 415418, 651643, 290384, 383643, 435447, 911828, 658439, 571663, 939579, 329613, 521276, 277653, 351439, 453687, 719427, 531011, 143161, 85881, 476483, 90453, 841058, 850003, 925354, 402883, 295806, 834356, 574143, 50664, 135561, 151543, 348804, 477687, 285756, 665610, 133047, 198244, 526709, 671294, 904179, 19862, 929960, 238874, 188989, 974025, 546811, 937591, 433060, 911764, 392744, 558019, 930791, 271938, 580776, 296294, 598633, 546471, 948754, 749997, 475202, 862446, 143918, 323826, 16992, 285630, 936486, 789338, 598832, 436463, 60487, 594402, 491288, 40038, 630591, 410566, 530609, 882327, 181112, 259412, 931238, 612990, 421961, 680929, 824658, 988563, 729783, 519332, 258831, 162730, 924406, 481230, 852854, 367741, 553249, 779054, 926141, 364179, 355004, 502327, 367256, 364676, 889528, 259610, 270872, 563706, 935396, 835258, 750698, 475520, 659707, 424038, 959742, 562424, 367572, 978544, 531112, 788115, 618031, 432398, 747318, 838281, 508554, 626775, 619352, 321495, 607716, 863248, 394786, 512029, 65822, 343489, 871535, 681187, 708317, 985708, 953680, 343301, 717006, 375015, 946500, 243679, 566759, 152145, 423231, 953547, 368203, 938098, 749475, 418578, 770472, 913399, 184198, 916777, 792602, 406722, 431709, 202804, 513520, 815773, 529702, 453621, 851127, 606334, 375715, 545156, 430647, 343452, 822945, 44250, 790796, 156961, 266087, 87703, 787222, 226469, 963433, 755818, 574023, 311004, 318747, 461296, 358353, 406047, 985318, 374191, 858227, 302676, 859030, 837697, 937565, 925747, 390159, 558689, 387455, 414428, 899397, 745857, 778931, 443523, 62520, 552865, 352273, 565352, 611479, 270714, 789306, 910212, 734456, 90388, 828049, 897710, 212619, 118949, 7826, 669868, 110912, 918295, 629520, 533143, 665421, 192066, 324896, 923179, 540251, 836517, 220855, 205079, 33161, 35080, 895374, 856431, 323934, 197447, 746297, 368625, 251583, 394361, 364213, 202197, 343856, 113765, 481653, 228984, 338283, 857651, 415424, 398857, 473868, 519953, 140067, 98253, 833453, 374492, 660096, 96524, 72701, 391640, 563759, 809856, 407582, 761764, 464645, 625118, 452101, 832235, 267566, 696354, 289258, 357654, 288294, 396133, 701334, 78682, 201352, 323332, 412498, 666257, 115645, 128588, 589091, 660689, 22893, 422289, 437667, 113962, 201203, 679105, 641674, 397813, 528088, 191423, 206063, 860369, 14702, 262939, 573590, 716173, 773741, 412400, 232369, 881108, 84848, 615770, 137357, 873881, 530403, 374793, 479638, 472409, 152802, 682752, 920158, 201901, 224813, 617289, 933186, 394680, 700268, 658020, 389356, 866094, 524466, 550806, 53361, 213551, 203632, 604233, 559061, 543630, 523851, 238333, 141119, 846278, 230958, 75991, 558068, 120083, 128580, 50204, 444712, 427695, 741272, 241931, 883099, 777755, 247853, 139381, 903300, 812172, 394402, 599123, 22545, 99319, 66398, 173533, 124548, 532440, 876885, 496603, 891493, 862833, 973644, 595646, 698263, 660635, 106608, 581581, 937268, 47683, 443640, 438074, 589379, 211690, 584353, 668339, 300615, 860826, 679744, 380977, 554270, 395320, 897112, 455583, 12797, 607377, 446359, 506940, 399626, 631927, 661098, 81529, 597292, 633909, 642639, 107458, 75514, 184629, 777365, 779743, 81724, 364152, 9941, 388105, 419164, 387762, 524028, 511774, 770430, 610458, 328959, 897660, 192402, 593946, 188977, 742677, 938612, 183377, 340910, 125237, 461668, 857913, 35587, 295405, 25168, 295062, 668249, 99109, 747333, 129138, 121941, 248942, 701918, 275354, 874561, 26520, 409530, 365083, 853708, 307297, 760377, 914692, 179092, 416851, 461561, 897337, 839625, 380231, 822011, 335065, 726481, 276589, 762765, 690392, 930254, 357575, 924242, 466160, 581180, 692870, 661192, 320324, 289251, 475730, 557646, 249925, 534249, 613144, 70071, 776552, 374290, 588476, 916534, 894570, 38488, 454430, 728095, 556703, 77111, 827732, 732966, 684699, 95960, 480389, 678177, 569735, 99114, 349040, 39850, 564467, 458039, 683002, 601890, 75899, 94232, 512089, 244964, 485137, 806438, 887999, 908677, 798323, 237488, 899114, 824877, 564171, 22388, 674330, 730485, 797620, 516082, 950347, 615631, 116828, 678551, 121339, 499641, 76621, 729052, 646083, 875192, 346176, 556811, 686456, 470635, 379238, 475330, 921183, 517979, 196258, 724313, 134585, 953071, 819055, 460671, 856072, 575149, 672837, 575305, 342278, 192530, 988299, 316042, 504196, 403247, 792073, 132241, 518194, 388818, 203359, 568845, 19625, 279962, 270883, 301553, 966604, 27622, 888067, 126154, 366200, 874704, 865869, 216538, 778162, 909901, 304803, 613541, 76699, 616925, 465371, 647533, 933885, 360024, 299726, 487167, 261223, 830484, 209374, 265946, 485846, 842272, 557986, 688688, 740913, 352735, 505639, 494937, 480265, 97688, 650828, 949167, 115430, 696608, 297493, 503564, 509866, 481955, 119627, 359167, 675661, 240076, 810385, 665491, 215776, 196343, 797950, 208743, 381547, 411655, 396577, 443172, 23988, 408940, 192118, 295989, 818578, 414898, 728670, 634001, 100896, 446278, 921381, 310250, 140591, 336699, 743021, 632299, 768212, 680945, 619246, 642000, 507804, 448727, 846116, 17188, 677769, 75790, 571201, 535288, 170335, 720383, 512965, 879988, 846336, 1914, 865945, 616938, 692950, 453004, 514578, 74827, 321174, 57470, 313290, 659724, 699781, 989336, 264933, 425961, 353834, 614542, 567844, 705288, 852917, 693399, 651160, 429289, 296541, 348568, 284730, 417948, 351568, 658538, 404553, 274247, 236410, 453348, 843560, 727741, 365113, 333399, 45465, 331923, 646223, 914557, 577174, 312143, 620261, 756276, 697599, 428468, 158111, 958501, 900719, 145320, 673799, 807505, 728581, 124239, 22638, 85570, 609860, 915214, 182196, 480845, 918169, 27752, 198834, 911206, 66804, 96548, 467679, 685795, 424947, 320723, 896152, 591589, 522812, 640365, 42321, 16525, 89297, 276723, 851281, 264229, 48410, 306737, 738686, 405296, 505535, 931928, 217854, 881519, 579724, 482665, 970403, 846768, 974354, 530077, 559961, 874618, 894421, 203013, 293516, 818015, 572257, 286770, 242428, 721668, 110978, 471132, 164425, 711449, 577476, 691136, 261663, 260179, 673658, 265052, 940655, 447881, 747971, 682953, 237380, 6779, 299235, 962071, 786458, 659663, 420805, 275003, 860490, 344673, 542368, 326255, 973301, 63848, 920288, 456687, 982668, 468323, 338260, 330619, 84715, 84958, 190779, 480879, 217391, 613939, 41102, 27930, 978688, 734895, 772908, 776212, 15524, 279829, 311281, 457979, 948897, 924035, 66501, 785638, 828396, 233020, 278431, 843710, 507984, 123641, 811287, 519149, 510732, 849367, 154590, 446281, 401878, 653252, 984421, 841805, 340749, 558681, 467249, 970614, 929602, 821231, 221450, 685048, 227706, 817506, 644369, 561984 ]
990,034
[ 455655, 700801, 811847, 767336, 884272, 565184, 941742, 540872, 232277, 638445, 831172, 80762, 401266, 236631, 261554, 770047, 659906, 33180, 947744, 735767, 858807, 578609, 674088, 906878, 880244, 967388, 344166, 664898, 474865, 33981, 263949, 208225, 284606, 105617, 103937, 48428, 835552, 987506, 651691, 655367, 408453, 988398, 904973, 124492, 454752, 129007, 626562, 668694, 633355, 798716, 895494, 217843, 451593, 318369, 97378, 407989, 896255, 776386, 842670, 883227, 715960, 312130, 785601, 940660, 647795, 756423, 863463, 615119, 887097, 116444, 835534, 289572, 199674, 513855, 225130, 58754, 523035, 431608, 24355, 281836, 593731, 602564, 141581, 131995, 795456, 145434, 625599, 815264, 357825, 131661, 675147, 86317, 907736, 910435, 384813, 852251, 263754, 561879, 14678, 886478, 622955, 260952, 829697, 530043, 822261, 709526, 888471, 968527, 714192, 978345, 982915, 391960, 28231, 435886, 70020, 549890, 671318, 878889, 7802, 751224, 98232, 19024, 413809, 273580, 411639, 183242, 321308, 655741, 951595, 13752, 351836, 858665, 577011, 513732, 355580, 96859, 258769, 333452, 193454, 796506, 271696, 260835, 277856, 451924, 778316, 691493, 361057, 663160, 789777, 809557, 971336, 68195, 485682, 508861, 800294, 413228, 498393, 62847, 26608, 315861, 82775, 595031, 442973, 767909, 861358, 891024, 155157, 653446, 318719, 614339, 931584, 618200, 103973, 915280, 313832, 451547, 371334, 434703, 901592, 36476, 516693, 7099, 4495, 869829, 319549, 945514, 611720, 280952, 847685, 799619, 378724, 788906, 893238, 726282, 734780, 505977, 463670, 149073, 613956, 89983, 940006, 125578, 625328, 35711, 167992, 823961, 898425, 734925, 341993, 246575, 488812, 74588, 396320, 20006, 458555, 702823, 134909, 268357, 715219, 720729, 826660, 480857, 197365, 911356, 395557, 144076, 880178, 21761, 607220, 639352, 212298, 941371, 940787, 97641, 516275, 639736, 617920, 768579, 900448, 318407, 103761, 657418, 279338, 394047, 59742, 617487, 409953, 268778, 528170, 647393, 249619, 196521, 731027, 978637, 501022, 587751, 509018, 958199, 147905, 541718, 160057, 34559, 8833, 490580, 315331, 431428, 663439, 30432, 564871, 487838, 262852, 248714, 909489, 52970, 975755, 231262, 17930, 506062, 283842, 758080, 31945, 15012, 539701, 520051, 319385, 587170, 99240, 374199, 877208, 908924, 893996, 528049, 845403, 292945, 693589, 321775, 783597, 3093, 779246, 491716, 403880, 37548, 265096, 490149, 604780, 720514, 80500, 220022, 591504, 745002, 506058, 367614, 138738, 935926, 654892, 900832, 531330, 773032, 178212, 906811, 93935, 784980, 960059, 617348, 216540, 715879, 38733, 321562, 767292, 750177, 822232, 64745, 108410, 354133, 383979, 210680, 923642, 796088, 574820, 604218, 319624, 212783, 420632, 674398, 524280, 616545, 258442, 604899, 344188, 714495, 683909, 589946, 405959, 147731, 402442, 544250, 104398, 984017, 663348, 35298, 390694, 252289, 559179, 833298, 159541, 693375, 256610, 366656, 381110, 457782, 98998, 872921, 275555, 23051, 411176, 302573, 42088, 823078, 359388, 839621, 803258, 621954, 151163, 917176, 385035, 495514, 453550, 127200, 402019, 348413, 644685, 225170, 650359, 96710, 782138, 732091, 652923, 79889, 910732, 483133, 499853, 312996, 805631, 916693, 75767, 239326, 51166, 370191, 4630, 969235, 966117, 441713, 922382, 420376, 617342, 855113, 918622, 579635, 724632, 331384, 784148, 162250, 68831, 616607, 739380, 368508, 767333, 796422, 410105, 585974, 794989, 116856, 12478, 239776, 46617, 118676, 683776, 543099, 691250, 708286, 795943, 107067, 237355, 257207, 321242, 902967, 204604, 32274, 110018, 413695, 421832, 542191, 479389, 493468, 38255, 531923, 813905, 563291, 499660, 212371, 528207, 116412, 157855, 310432, 232620, 897071, 698033, 435644, 401727, 44639, 321030, 905900, 323521, 928098, 772569, 359462, 267496, 240032, 906322, 32497, 425438, 67050, 624184, 102262, 681668, 779180, 780226, 359796, 47797, 542020, 517669, 452383, 411552, 552843, 587928, 580272, 913805, 473837, 691157, 653237, 7760, 552004, 660387, 164619, 817250, 727400, 584903, 904990, 39585, 821846, 839917, 946579, 918152, 750220, 958487, 542461, 866021, 140909, 63498, 987393, 644682, 748896, 960637, 367229, 525658, 435632, 914754, 574104, 393683, 394386, 196040, 231416, 153543, 8525, 877848, 79796, 70632, 714454, 259012, 391976, 651711, 515129, 852765, 666782, 950204, 19274, 158148, 617815, 660923, 50070, 113716, 901441, 452440, 303162, 600958, 988357, 697598, 111385, 762748, 509343, 854673, 41430, 403368, 742100, 145236, 146170, 50622, 268610, 578333, 566781, 405779, 173716, 620295, 548472, 334854, 479359, 978527, 713507, 596237, 352372, 82637, 801843, 965658, 472449, 214753, 48241, 539937, 346434, 591173, 316286, 423335, 897964, 911997, 229201, 688222, 572795, 693150, 981398, 270452, 699941, 789027, 536328, 45116, 754927, 978720, 180380, 834041, 55803, 102478, 189446, 778063, 836693, 821289, 517220, 688831, 922537, 545613, 920997, 783598, 64236, 78693, 104748, 762381, 4768, 25719, 391458, 214851, 74835, 599797, 133573, 393230, 103349, 128885, 868560, 767763, 358940, 809901, 108654, 92480, 266123, 445227, 321672, 175851, 970183, 940690, 364869, 142188, 223176, 458246, 828368, 654199, 189913, 642142, 46359, 144481, 830757, 696887, 604117, 139717, 379902, 207202, 812450, 635881, 728199, 750921, 424892, 161931, 865789, 672740, 943357, 385243, 718209, 737969, 419218, 333596, 385909, 736351, 655790, 594492, 313764, 113350, 363869, 597107, 234023, 351960, 437030, 379190, 616940, 471481, 199863, 173284, 260488, 146055, 682623, 383907, 614361, 778221, 137937, 511210, 144875, 261659, 972915, 144036, 320364, 250786, 775859, 625695, 89688, 655670, 533994, 771091, 468528, 29014, 879337, 390966, 570391, 721878, 291633, 196436, 45381, 112074, 112001, 315459, 351245, 614873, 158756, 269947, 281931, 906515, 763021, 941590, 41918, 731535, 278143, 961114, 152291, 684357, 400152, 971516, 173927, 621563, 713980, 772486, 526185, 90966, 895713, 533845, 378396, 782328, 69785, 716138, 833491, 611554, 846446, 411775, 161951, 929738, 458313, 486941, 181159, 749780, 738621, 758001, 119982, 160308, 89291, 779563, 216567, 384326, 458326, 943588, 447462, 860260, 972628, 717982, 405122, 129263, 259561, 19469, 477768, 940465, 585837, 673854, 26530, 196473, 359936, 640748, 154946, 580117, 11467, 532408, 384596, 576280, 298005, 519254, 540852, 501167, 197503, 730425, 727011, 816728, 541087, 912464, 201700, 526942, 697559, 904479, 156201, 115182, 828785, 284601, 566864, 323126, 525113, 868044, 433766, 764592, 673793, 498325, 227580, 516503, 644373, 215782, 900727, 292453, 245627, 988612, 224126, 490469, 522847, 897156, 49694, 593527, 542491, 841750, 633799, 395804, 57287, 592659, 764581, 513971, 131398, 950428, 217109, 231550, 861770, 941520, 486168, 849492, 716415, 866474, 758516, 113707, 572832, 782263, 737821, 651302, 163296, 626009, 19959, 116461, 731269, 675722, 109771, 298311, 617085, 593709, 46397, 207035, 447577, 392572, 100455, 431914, 353569, 340780, 34536, 438918, 515063, 766687, 550054, 883221, 943177, 764154, 479978, 373597, 845991, 854423, 179898, 310350, 827197, 749094, 800335, 752469, 713506, 506844, 55164, 232203, 625716, 600968, 371577, 88335, 364420, 801799, 546339, 265530, 346432, 511480, 486798, 79817, 421352, 265413, 282534, 511805, 662422, 931232, 328120, 964395, 461515, 317986, 343914, 795437, 443590, 239527, 186071, 780949, 880325, 436382, 11535, 587472, 349223, 937084, 62493, 808703, 160271, 563774, 12962, 648684, 983438, 213953, 90564, 784942, 390349, 458107, 140100, 482503, 882386, 115481, 2067, 582279, 468249, 450651, 247213, 859867, 554480, 777784, 799036, 849907, 972172, 931818, 152106, 210648, 87499, 924670, 558331, 698930, 761252, 85804, 435575, 778400, 602389, 772629, 781457, 266482, 685790, 969998, 588325, 780728, 895121, 675919, 243507, 143947, 727188, 468655, 772181, 747269, 840705, 478993, 898685, 530521, 987067, 519551, 172665, 867485, 490422, 300348, 528639, 101010, 888850, 559100, 902374 ]
990,035
[ 925103, 99253, 775519, 837516, 629264, 715251, 38588, 78995, 950084, 177279, 137633, 569962, 791807, 116156, 357271, 537993, 724476, 55280, 657671, 849646, 404132, 471629, 914562, 887589, 811646, 818849, 937592, 695180, 172797, 401729, 468830, 354013, 822877, 640730, 570401, 912423, 24736, 243111, 495752, 822689, 46623, 350754, 796315, 528532, 165683, 337087, 54504, 734951, 263612, 856739, 245813, 555514, 875317, 811703, 843307, 160215, 439712, 917625, 574754, 158703, 114881, 822139, 77317, 588413, 432163, 569036, 318756, 112410, 289447, 160224, 725056, 424406, 383109, 806728, 469166, 492136, 462474, 473644, 898583, 834810, 622154, 612185, 596325, 525692, 489571, 916339, 35636, 727639, 250813, 537422, 685053, 908258, 164697, 715750, 34589, 9214, 225248, 129515, 654745, 671798, 775676, 198737, 354370, 225877, 948929, 654095, 186867, 780147, 472813, 986154, 433755, 648026, 184295, 858873, 342166, 93902, 904599, 804751, 692795, 78247, 844082, 470396, 520357, 795585, 342684, 549325, 688856, 937094, 719672, 75890, 614202, 687042, 534, 511944, 330006, 872253, 347687, 191537, 812322, 826237, 666913, 386048, 346055, 361873, 424028, 214161, 383448, 602181, 63555, 80520, 330857, 69546, 390237, 987677, 24927, 797744, 423785, 702984, 954198, 858192, 224379, 255142, 787116, 75037, 578133, 477239, 408368, 350824, 417058, 746586, 10491, 318689, 823853, 642696, 461446, 6836, 292559, 745353, 915027, 516022, 67555, 81262, 887554, 682784, 326221, 286614, 11894, 419211, 167340, 298162, 987322, 252272, 941998, 802872, 818463, 330740, 150358, 834192, 427153, 968526, 30474, 66566, 609201, 639863, 472356, 151806, 830290, 555258, 27005, 136178, 392248, 398001, 756030, 715297, 125632, 250552, 672395, 555354, 943035, 952116, 537142, 502055, 945380, 557665, 511850, 660537, 519243, 269135, 898884, 987273, 5366, 444403, 925214, 639447, 663819, 141336, 53099, 154476, 288307, 572518, 935030, 904375, 778338, 738342, 435592, 563914, 411519, 104140, 972633, 88498, 489204, 692707, 535434, 230323, 772496, 263514, 643634, 662489, 816371, 907004, 416498, 650191, 368064, 613594, 975899, 442986, 871385, 931209, 499993, 210823, 365369, 756267, 944701, 942575, 127089, 16140, 837363, 899780, 986546, 594665, 579586, 96223, 577259, 148860, 285526, 700212, 690855, 961902, 801396, 221320, 250255, 735120, 883927, 327213, 359341, 484494, 844250, 881088, 648471, 322376, 795891, 261345, 952499, 610117, 825607, 960773, 430627, 349302, 150343, 138490, 834376, 257641, 841422, 176143, 59220, 666762, 834436, 123874, 947809, 135511, 346356, 424508, 376254, 819899, 504466, 792755, 417446, 900250, 697944, 875713, 716630, 126342, 370439, 402764, 535396, 597758, 507570, 459173, 731247, 89944, 218967, 333410, 179900, 908090, 71487, 725034, 434260, 253709, 798257, 268766, 906045, 363610, 553596, 712565, 820940, 340986, 136978, 623162, 497771, 597830, 148928, 284230, 591743, 206791, 521283, 130750, 778675, 323986, 681750, 438394, 441178, 484839, 4368, 576968, 241528, 384856, 641574, 320760, 818723, 573954, 156416, 127554, 885275, 290925, 362334, 923128, 203374, 264896, 705892, 617252, 423850, 319135, 410271, 200514, 345315, 879458, 386150, 628429, 578198, 499919, 263951, 643829, 958941, 988650, 761979, 960268, 186859, 211577, 294411, 41886, 10006, 74953, 553340, 970762, 889860, 351655, 163199, 485265, 125506, 380628, 620653, 981038, 121755, 654802, 857645, 22800, 643236, 450696, 853967, 154248, 433772, 231134, 85906, 140907, 350312, 493610, 451052, 382419, 111299, 258010, 887434, 949215, 441139, 714450, 314554, 740100, 330662, 932202, 277245, 284416, 546516, 930633, 59752, 741310, 750097, 24123, 820693, 317580, 78938, 615567, 455597, 188566, 815994, 76038, 259788, 241345, 447441, 422195, 450575, 655836, 806735, 290056, 865254, 616795, 333344, 172991, 587568, 367739, 967968, 35643, 604542, 552003, 131766, 324068, 322812, 251390, 571798, 353679, 205589, 780187, 907353, 716023, 261321, 319859, 84954, 20995, 403168, 967955, 38122, 920169, 453832, 62573, 829123, 368827, 800422, 251216, 739034, 960869, 343008, 632605, 486795, 106770, 787952, 583960, 500531, 791662, 715243, 924815, 947198, 775196, 458547, 633319, 163622, 163735, 299407, 67663, 741111, 798004, 453675, 596082, 585101, 87332, 399787, 264838, 645779, 627471, 257448, 633624, 659461, 183117, 888581, 175690, 975685, 900305, 74708, 977739, 46036, 892325, 446212, 857758, 419561, 602572, 199436, 25946, 253410, 693639, 751984, 129232, 967658, 91299, 436732, 655700, 929312, 692519, 19207, 183217, 549640, 520355, 781880, 94803, 492653, 361241, 392477, 779314, 948492, 208813, 654584, 625109, 529948, 933031, 533161, 395314, 796712, 134130, 958585, 366046, 417380, 366089, 368573, 778354, 477016, 857127, 403274, 923110, 44316, 15485, 847890, 716958, 415807, 645991, 641166, 571643, 285458, 582272, 76156, 83620, 222389, 637914, 272501, 498445, 477651, 541736, 512114, 93424, 750010, 90593, 857353, 508807, 96442, 814187, 448323, 902794, 496723, 439461, 60372, 750401, 841597, 653486, 669745, 176193, 482374, 15389, 909056, 810742, 832464, 413549, 897958, 450986, 780700, 117065, 913388, 143244, 676758, 619276, 392298, 556376, 289012, 302150, 898463, 74260, 115591, 935346, 249727, 271527, 9900, 332312, 958643, 600242, 245785, 353864, 201961, 516035, 593182, 785742, 649745, 68542, 417916, 636724, 260250, 621669, 823253, 747059, 299840, 823464, 110084, 890782, 361331, 136779, 669532, 716072, 377159, 216702, 661069, 513858, 533165, 274497, 535266, 374461, 252686, 281483, 7367, 402677, 143273, 206903, 796865, 770920, 929434, 180569, 746650, 311665, 275140, 64969, 967429, 501088, 970960, 726245, 658494, 352178, 823997, 303909, 6227, 866805, 716310, 531868, 891609, 718624, 377001, 483880, 496695, 524792, 437821, 846637, 468607, 298054, 948382, 214595, 440292, 601849, 213817, 699963, 622230, 839079, 741372, 800066, 750626, 903251, 101822, 326481, 88405, 963846, 705222, 909978, 182887, 232663, 177775, 616074, 826676, 968818, 837300, 617318, 659086, 351900, 320412, 165302, 210448, 31819, 495817, 692911, 303808, 944487, 820279, 488217, 17758, 238156, 202707, 537287, 322133, 152952, 103274, 886811, 38577, 32863, 89970, 797291, 822104, 935123, 416730, 718217, 475869, 491965, 753695, 838643, 20815, 889900, 189615, 4601, 629385, 548678, 591142, 957275, 270816, 384204, 547193, 343563, 514414, 957118, 197724, 37536, 532844, 659476, 75691, 710342, 471151, 103894, 366260, 400374, 16118, 912262, 288047, 689992, 284104, 902891, 532815, 665362, 438977, 192449, 155003, 606268, 137877, 421159, 236027, 159412, 567231, 202976, 782291, 789808, 987272, 328646, 554460, 19184, 452298, 610694, 684485, 216087, 1291, 414843, 254662, 105420, 470851, 957839, 807281, 88082, 842966, 906657, 772739, 35367, 215190, 90500, 210029, 948120, 143781, 492277, 385848, 240029, 153744, 843231, 445207, 324900, 467878, 807566, 781583, 505170, 361803, 873529, 512752, 221896, 500096, 272873, 465840, 838396, 966567, 20770, 703543, 694606, 76117, 49258, 138841, 281601, 241775, 70792, 81885, 25523, 541554, 828799, 40727, 840567, 46590, 654446, 989237, 59389, 788420, 201660, 86940, 648721, 225290, 638459, 249115, 837583, 341115, 873221, 735566, 509911, 857385, 459695, 176761, 472084, 918463, 378765, 613661, 678128, 777454, 822694, 583636, 207809, 877788, 223298, 403524, 379132, 639286, 943543, 488752, 887536, 660653, 259194, 345291, 778839, 883830, 379067, 463885, 81955, 261057, 911905, 149334, 88096, 249117, 802416, 18470, 432787, 166423, 192209, 278393, 743685, 715793, 161756, 489844, 268801, 842486, 835851, 712176, 961189, 330460, 865230, 520689, 664288, 442973, 634426, 642287, 161302, 905229, 891036, 742610, 278077, 353150, 112058, 512399, 75660, 713299, 546572, 121899, 171279, 42408, 121102, 599517, 860465, 444590, 831395, 561342, 38781, 444142, 922040, 866069, 286392, 55359, 450070, 503280, 938642, 989306, 844337, 457309, 879952, 670372, 632161, 627352, 897320, 809925, 47880, 39139, 644165, 553458, 151838 ]
990,036
[ 442620, 53599, 199059, 327642, 861977, 567706, 887741, 853925, 305625, 426672, 658925, 505077, 760777, 712332, 360892, 388912, 93495, 698502, 582018, 675465, 537358, 543709, 870514, 194977, 4239, 551276, 434039, 529004, 153927, 891656, 764510, 958867, 510983, 975960, 211157, 769203, 167451, 736374, 569022, 704679, 803228, 910052, 663684, 325087, 478880, 354642, 554335, 394366, 312102, 338206, 88479, 267676, 841795, 241726, 727842, 422137, 415035, 981654, 12689, 556498, 340524, 352384, 974680, 731143, 418830, 658746, 651067, 922960, 719227, 598879, 447296, 735475, 645488, 674749, 192206, 781823, 295387, 761607, 683166, 716211, 113568, 826934, 313476, 901682, 815935, 627935, 732631, 135404, 437069, 172814, 918430, 596753, 394083, 810140, 105025, 221381, 987862, 146443, 336384, 734435, 378136, 327397, 328188, 462707, 891853, 838237, 611983, 819686, 863499, 897223, 833371, 564357, 679230, 40480, 644781, 502730, 758605, 434439, 652, 801695, 780747, 86446, 462853, 481962, 436987, 763701, 633269, 16267, 928521, 324609, 929086, 612707, 453857, 430556, 231735, 432698, 8710, 758004, 653055, 613868, 652450, 226610, 52120, 243920, 843028, 116283, 276524, 939378, 484982, 743815, 780453, 327206, 523054, 967951, 978458, 314645, 622887, 306721, 850338, 542317, 119354, 300982, 134623, 841438, 596761, 434107, 501339, 769120, 282176, 854832, 582472, 685397, 703633, 719526, 357253, 837631, 267539, 805226, 221441, 627256, 141462, 8918, 199978, 310992, 234657, 136944, 594325, 593892, 451655, 716262, 687240, 496028, 723191, 926323, 352439, 162223, 212134, 184902, 816528, 981333, 903405, 640283, 79442, 520959, 863269, 554356, 231264, 26872, 508904, 528117, 51598, 32688, 571404, 794753, 371465, 577004, 938717, 505600, 904177, 745311, 400562, 210924, 618316, 172254, 372283, 632848, 252907, 387483, 153934, 788718, 178286, 604211, 885946, 341516, 84967, 937519, 731513, 185649, 916923, 751149, 829289, 145158, 312964, 88003, 37005, 464464, 954394, 928805, 721971, 609772, 937918, 331689, 44875, 854050, 165351, 518820, 157783, 617336, 819539, 912913, 822053, 220645, 77803, 664612, 505438, 656509, 464125, 308547, 492268, 177906, 846366, 219814, 470934, 312214, 136408, 426691, 967822, 182749, 975927, 977063, 606028, 429793, 190028, 382767, 551868, 101317, 921436, 727701, 979961, 100882, 963587, 906849, 25948, 811150, 260343, 294793, 873768, 227330, 374541, 331808, 165627, 209265, 20976, 840917, 29672, 700227, 930288, 818086, 249776, 487241, 98873, 773070, 906685, 300038, 779139, 301821, 531088, 701010, 937236, 413613, 963299, 734038, 86898, 80143, 111875, 803508, 899261, 9553, 978343, 400160, 262381, 68960, 761261, 159684, 848282, 864761, 280889, 102517, 955719, 140862, 309768, 579803, 611405, 757920, 372282, 226007, 594126, 581807, 676312, 216983, 918811, 928750, 158239, 941839, 677976, 877271, 807859, 786433, 237344, 659341, 894809, 535349, 967608, 759249, 697270, 440626, 463815, 80116, 704297, 813603, 780696, 371512, 41845, 79884, 685183, 645336, 579385, 887892, 930847, 654857, 239614, 951844, 19631, 251418, 831548, 475375, 532002, 902748, 74828, 577598, 726401, 491215, 150045, 45535, 58299, 201306, 11485, 58876, 358530, 68660, 598648, 491238, 799729, 147764, 310824, 215082, 264129, 590978, 987642, 420547, 741756, 964445, 98479, 473866, 816846, 69025, 66307, 72574, 701084, 532186, 781250, 601914, 706365, 395731, 119607, 668228, 292205, 374157, 608359, 152786, 536709, 356964, 211098, 602793, 819070, 204615, 505452, 848135, 298341, 79586, 609388, 392805, 930886, 89762, 79926, 610041, 966463, 667446, 644566, 468147, 547142, 738484, 555553, 579947, 516487, 248962, 280601, 589523, 828844, 670397, 142909, 44543, 199791, 493589, 48419, 291397, 445158, 453803, 836566, 95072, 335473, 590586, 6001, 333885, 620796, 180452, 679915, 534511, 352752, 811369, 747086, 831533, 306682, 758735, 920265, 406851, 873380, 865188, 891512, 642032, 662219, 256602, 695133, 362575, 230469, 274014, 397288, 864886, 486278, 952686, 947238, 356911, 936422, 895346, 780836, 90229, 307429, 58892, 892997, 410184, 328613, 633104, 385618, 320488, 962343, 964631, 206357, 302316, 596200, 109551, 625742, 921099, 766066, 947083, 448041, 871702, 794296, 970488, 189738, 143245, 438331, 671579, 843991, 44851, 971945, 166679, 806408, 324075, 596369, 349524, 925014, 895431, 331819, 809337, 919096, 805626, 92157, 213279, 393225, 449539, 276114, 815931, 318808, 766671, 277798, 829709, 404329, 673932, 524485, 594389, 710050, 355991, 969112, 943744, 271460, 521541, 726202, 36708, 171479, 355933, 55544, 849824, 751466, 819984, 462790, 945184, 618781, 377629, 910724, 968498, 342018, 31428, 526402, 520404, 984879, 39464, 353036, 24981, 348131, 32482, 187530, 36864, 98712, 976581, 695768, 889041, 605620, 330292, 703100, 774871, 693984, 510346, 988451, 856877, 301108, 382136, 40579, 183584, 204394, 733595, 371468, 260499, 488970, 612226, 928893, 539611, 929311, 240358, 194993, 313427, 744029, 951688, 677506, 652986, 735676, 419594, 513828, 556584, 281754, 622944, 904271, 167716, 840397, 588203, 356024, 496324, 520504, 957409, 357848, 285883, 217886, 317288, 168395, 490152, 48791, 111669, 385687, 70965, 421794, 554752, 795237, 811392, 124355, 778077, 443079, 715953, 483954, 542105, 973595, 165477, 908485, 927278, 855323, 565558, 919814, 367, 696911, 781196, 943491, 908663, 292891, 729969, 36916, 362697, 826312, 318104, 864437, 159758, 905207, 667927, 795620, 365706, 346554, 702469, 103077, 966688, 762617, 432401, 5457, 371856, 514542, 125811, 481399, 75170, 803126, 552985, 556023, 691530, 929205, 738067, 604861, 128574, 124789, 248791, 553884, 685941, 885426, 468179, 314748, 174406, 848308, 261119, 666436, 486839, 938530, 603521, 918137, 973072, 51718, 307314, 462115, 190006, 725741, 344922, 700757, 448830, 418536, 704181, 95488, 870946, 426854, 643431, 486240, 57147, 195878, 193463, 862042, 712496, 291994, 320650, 135453, 974714, 82511, 459536, 542188, 195986, 316089, 412593, 602400, 549172, 390618, 347933, 955424, 134646, 149864, 306868, 52872, 724523, 320075, 528407, 652033, 109935, 342275, 394775, 37328, 729454, 752528, 64449, 233411, 380156, 277043, 438058, 825940, 334768, 793431, 885741, 964506, 694118, 553589, 878786, 135218, 122822, 690810, 141654, 420880, 770126, 133752, 155615, 51279, 280203, 286959, 841676, 70406, 329797, 205683, 462722, 458435, 139016, 949446, 433185, 816581, 3898, 940439, 360629, 826331, 155071, 863196, 831235, 577524, 221252, 988308, 792995, 646022, 724847, 228772, 928991, 888637, 366544, 396451, 780281, 84254, 244293, 828478, 220835, 602085, 534071, 9981, 658070, 920781, 316798, 97256, 877085, 897647, 6284, 732491, 514828, 628853, 230952, 819952, 492304, 578943, 676183, 964988, 409595, 556799, 385162, 917007, 801337, 66219, 127217, 811249, 654803, 963328, 948291, 130916, 19648, 194739, 106883, 639256, 272428, 634650, 223959, 694777, 881464, 78318, 526622, 755764, 679522, 842067, 368689, 537602, 302008, 429027, 636479, 651271, 704005, 660717, 384440, 111589, 759488, 834625, 412284, 920903, 983884, 198070, 240695, 936362, 59516, 461775, 928937, 67779, 877220, 640413, 531664, 468808, 305882, 73541, 842687, 468326, 142104, 814584, 957285, 299100, 462031, 815318, 859437, 318957, 337352, 974345, 757981, 680629, 645166, 715677, 700124, 765008, 317917, 379060, 929480, 146932, 578328, 443609, 201045, 753579, 846921, 564392, 189998, 501880, 279420, 784153, 373378, 716999, 434477, 525316, 915352, 109653, 458007, 409914, 835513, 627657, 519433, 274054, 590342, 643943, 492618, 524489, 842440, 757546, 980008, 183787, 321163, 188226, 243007, 72609, 818490, 988900, 61184, 111225, 30138, 698081, 510639, 322609, 429555, 110537, 62767, 727531, 86283, 324700, 978981, 945347, 817824, 949835, 724223, 115261, 872606, 344549, 655721, 150955, 804545, 378080, 888223, 336634, 407945, 708273, 793168, 369224, 264375, 755910, 620087, 461436, 450379, 720975, 334432, 556520, 947604, 30392, 414955, 118037, 665084, 677175, 59431 ]
990,037
[ 361661, 134807, 572057, 433630, 219191, 987905, 978019, 436903, 910679, 981099, 93802, 930697, 732998, 53579, 490947, 361189, 295505, 297952, 263032, 879979, 265905, 525416, 272952, 829354, 695104, 928624, 883279, 234831, 636415, 870572, 167461, 796933, 78091, 774955, 247531, 807694, 13765, 726052, 319564, 30569, 466185, 789754, 395590, 617610, 442891, 859682, 900294, 535081, 804697, 753790, 392082, 837655, 245888, 927168, 989737, 223975, 869619, 419500, 464724, 207521, 87650, 671378, 778987, 713596, 324653, 426423, 18040, 502907, 35880, 138813, 561917, 965119, 790897, 859664, 985365, 630920, 679665, 315027, 48224, 512912, 759379, 315814, 351770, 653421, 334812, 13709, 533070, 914131, 397370, 916936, 762806, 7714, 773894, 559938, 112012, 182103, 625076, 411106, 649834, 499841, 208718, 231584, 458499, 53191, 740759, 289155, 392233, 590285, 650213, 242298, 872576, 721326, 333181, 210554, 464848, 555164, 436904, 214193, 387714, 349442, 684931, 670369, 920668, 168038, 389760, 285361, 322367, 290141, 544222, 429558, 595142, 600951, 694744, 574186, 761412, 898846, 896520, 340008, 405150, 113070, 280512, 91605, 320682, 184356, 781031, 371736, 849820, 68995, 731950, 705165, 944907, 271594, 801871, 177271, 294660, 374902, 85016, 461799, 810856, 156232, 183049, 484718, 348070, 309077, 776560, 939426, 305114, 452524, 345761, 257037, 600399, 563004, 395276, 955242, 133612, 104709, 461838, 646446, 472487, 245801, 465228, 173148, 37715, 541919, 143278, 42171, 7098, 75850, 626907, 627757, 529038, 612773, 286382, 898826, 801581, 854006, 15895, 202957, 677762, 781297, 244602, 889092, 979458, 671513, 433863, 143641, 778455, 812207, 504036, 309919, 337297, 5471, 803150, 612656, 438721, 47846, 871607, 67648, 427575, 663860, 154639, 163514, 617874, 796921, 284283, 543830, 882563, 112003, 970993, 443039, 866385, 513668, 244505, 650833, 819880, 770375, 346925, 797429, 43815, 231338, 547591, 270287, 495845, 968061, 696958, 487071, 247697, 378826, 844577, 434228, 32828, 411429, 79657, 869232, 828162, 330635, 226831, 620608, 896795, 913425, 694580, 953994, 476642, 697722, 398173, 715399, 787376, 965338, 103981, 49825, 898478, 16743, 603524, 837021, 254585, 63063, 300399, 405387, 818496, 800343, 193538, 721077, 859883, 266063, 269340, 262645, 333599, 318186, 161002, 459217, 965292, 254064, 352384, 277669, 819959, 361124, 535985, 267541, 211895, 171496, 783279, 546327, 429670, 194487, 108389, 694116, 560184, 253961, 986913, 352340, 591102, 687697, 119078, 725501, 820619, 412191, 289994, 985830, 584038, 170800, 41912, 887731, 246749, 811816, 450041, 118125, 105836, 544768, 25444, 450626, 350352, 227915, 373579, 430641, 736613, 814309, 165855, 792228, 987014, 3561, 28018, 66487, 343797, 78610, 841555, 898684, 579738, 48867, 120477, 648331, 67240, 878915, 488846, 840035, 817142, 411153, 300920, 516057, 489926, 21637, 922271, 733108, 472303, 943787, 494813, 705691, 222274, 359264, 405447, 478309, 952478, 568439, 73108, 514192, 696340, 759484, 552408, 151525, 615649, 297971, 807943, 148508, 916439, 984042, 658863, 288300, 193151, 622854, 522527, 107666, 450487, 787444, 50374, 954477, 226364, 317513, 60355, 615192, 473049, 221609, 459524, 48545, 302972, 885674, 333425, 581489, 944265, 891206, 893250, 108048, 51187, 865450, 320508, 352103, 156500, 152238, 575917, 547836, 761127, 353697, 73534, 547834, 843476, 410656, 858404, 907369, 340572, 420640, 787807, 526297, 679236, 871528, 620277, 258128, 227169, 807594, 739533, 138245, 225858, 740094, 131544, 54939, 432418, 419721, 640098, 638696, 870443, 775235, 277993, 703037, 621436, 818247, 580961, 184973, 976325, 620535, 761712, 914292, 58597, 647605, 134549, 632907, 15192, 549989, 720968, 862351, 449458, 36982, 958474, 393028, 956878, 816117, 759694, 359174, 943119, 404989, 319376, 225234, 232115, 200541, 12123, 953081, 964744, 360573, 214381, 492050, 854631, 332816, 467862, 131580, 916974, 644888, 757336, 562927, 876200, 441621, 260792, 26947, 361493, 469444, 10339, 965051, 777683, 598635, 363814, 594930, 262269, 960077, 740940, 441042, 278686, 424532, 599508, 864534, 528269, 834548, 598163, 962305, 1759, 570160, 314645, 193341, 677718, 807093, 498616, 602396, 15806, 585104, 665111, 412372, 32331, 519478, 638496, 439680, 364415, 190595, 667188, 450948, 715507, 597164, 919458, 877168, 405693, 924998, 524790, 230810, 172619, 530129, 952827, 800614, 666111, 791958, 227563, 513168, 303689, 633510, 758538, 542571, 803498, 898854, 944756, 938678, 217559, 653096, 202745, 513355, 3063, 726732, 574300, 434604, 530538, 297822, 655061, 311436, 491598, 783813, 356285, 988287, 463812, 431713, 519950, 107895, 595717, 895462, 45098, 45414, 723189, 836057, 225499, 635, 256703, 362220, 891767, 402589, 272141, 916045, 285663, 738633, 918760, 833971, 922915, 280135, 936271, 985597, 703972, 898145, 435522, 202247, 771170, 457576, 214440, 646271, 90291, 12290, 278916, 120763, 756407, 862785, 791336, 750563, 626655, 821258, 972435, 414109, 767958, 535502, 306435, 396128, 140107, 836740, 482183, 57702, 660398, 740810, 964784, 24771, 494457, 474755, 590763, 292412, 356512, 108261, 349294, 654767, 340236, 251638, 400448, 930183, 597719, 550339, 822632, 838570, 58518, 127176, 42198, 952074, 207340, 658399, 563993, 324759, 368895, 113026, 154212, 755886, 929140, 5192, 699591, 139321, 378418, 322483, 642171, 283320, 592677, 420892, 167944, 614138, 493372, 225852, 905487, 770290, 839655, 778217, 465056, 717510, 579384, 266593, 331998, 78258, 396497, 635636, 888530, 247710, 395952, 252468, 206263, 81590, 542271, 267545, 355541, 398495, 498039, 544193, 839308, 44534, 888987, 472630, 229023, 839850, 268408, 895578, 773549, 137230, 881391, 205034, 891542, 465679, 500759, 148969, 374566, 311329, 822524, 309536, 8104, 703809, 417479, 972467, 221140, 15860, 742571, 336843, 958262, 812809, 540512, 493048, 844389, 275373, 422802, 91026, 510304, 403750, 255498, 977439, 232008, 144348, 244199, 604275, 595919, 594444, 835934, 570197, 268129, 758648, 532487, 437899, 912658, 350414, 175025, 70196, 356228, 339217, 374752, 786253, 516362, 54361, 955597, 252810, 564863, 706185, 173826, 576408, 958604, 452188, 581233, 494518, 951873, 92128, 530111, 505360, 647500, 820705, 905144, 34906, 332468, 76588, 431900, 861718, 798523, 418912, 616189, 145507, 962717, 507199, 669758, 34944, 433218, 557494, 586102, 603323, 340133, 596229, 513877, 280867, 294819, 844388, 340081, 24877, 478239, 449131, 936645, 355980, 830620, 891290, 866935, 876768, 322171, 860912, 565095, 329557, 323308, 130081, 8025, 8710, 268281, 452112, 81036, 295379, 2567, 458146, 988930, 949036, 350068, 354763, 817848, 741429, 719046, 244681, 390062, 498153, 680754, 847459, 31219, 233352, 866446, 434396, 62987, 262900, 921620, 49107, 528132, 442696, 939039, 190184, 431049, 897464, 164211, 420970, 620828, 629948, 639074, 813320, 185582, 254599, 306868, 962075, 252101, 627859, 940692, 17544, 798437, 248791, 163897, 152234, 58553, 342431, 907536, 646198, 113937, 560505, 126945, 154691, 104357, 235927, 150581, 589332, 346184, 657895, 250391, 758547, 249621, 876369, 366158, 921053, 654667, 398399, 360395, 372455, 343370, 261204, 19768, 319704, 556561, 399211, 519971, 938032, 844454, 552937, 739704, 12428, 697675, 498819, 12194, 756605, 70901, 158459, 197345, 659469, 81890, 477211, 987510, 565256, 752875, 347388, 379642, 622142, 500113, 60967, 804545, 766356, 100185, 92315, 623504, 818588, 645819, 770931, 169883, 404201, 717166, 868582, 578336, 967785, 603861, 343841, 721173, 44413, 172032, 540007, 73926, 34590, 843554, 532971, 269695, 472937, 31428, 912192, 346840, 394858, 521686, 582805, 91598, 317699, 125990, 114102, 288983, 904113, 959446, 878418, 274157, 699006, 971625, 51788, 164236, 619417, 880463, 602648, 923531, 592129, 886920, 447694, 433951, 317461, 898231, 539635, 602005, 506580, 685362, 544726, 966145, 314904, 966148, 952184, 728058, 311202, 60640, 133661, 365784, 542224, 634156, 643871, 623147, 375403 ]
990,038
[ 799860, 64325, 396086, 132866, 666515, 239014, 819164, 161142, 894123, 472381, 327591, 570358, 945446, 917669, 916707, 980808, 729269, 639621, 169282, 89440, 215713, 378586, 561236, 702425, 451317, 538085, 545114, 784731, 154695, 863448, 726333, 518292, 248814, 490152, 452011, 708558, 743150, 612410, 506473, 186259, 947287, 322033, 621777, 762782, 867590, 680511, 787402, 135324, 783714, 84603, 266405, 136872, 8729, 664383, 648898, 279081, 806747, 649298, 509479, 37407, 443636, 215576, 751433, 884797, 689135, 789035, 254290, 715768, 529975, 885664, 318727, 153550, 228029, 744902, 307669, 418107, 960809, 24573, 886795, 832616, 240839, 718295, 521891, 91646, 319743, 829974, 182469, 482127, 572427, 700011, 825907, 407257, 12660, 792906, 662345, 91057, 810835, 809420, 560141, 914100, 973415, 946047, 212180, 67065, 62767, 347598, 276682, 598459, 50532, 365221, 447400, 642790, 758636, 76987, 174984, 600726, 188710, 373958, 316082, 284103, 745128, 781982, 355171, 347040, 871602, 589162, 91991, 460447, 927048, 390322, 74494, 583198, 123920, 159835, 505428, 553833, 378358, 80886, 294271, 633577, 60333, 916667, 335457, 251435, 526513, 417432, 391515, 737051, 97480, 881621, 579955, 908470, 939492, 456792, 939259, 151596, 31670, 178649, 635130, 150528, 67976, 293373, 684833, 713990, 73107, 899697, 418434, 927578, 770663, 385965, 509729, 705246, 56315, 325432, 824675, 507268, 419079, 41084, 223031, 723626, 489644, 776919, 284754, 342039, 484164, 63240, 417315, 843979, 824592, 870609, 564633, 553142, 684443, 366622, 148982, 424960, 621280, 967392, 726791, 371856, 758207, 255435, 678287, 942807, 116958, 495345, 270774, 526787, 472444, 847479, 843751, 837899, 92241, 65005, 774527, 845408, 210791, 132724, 426403, 462423, 796668, 610804, 379903, 887817, 356434, 558053, 312384, 404438, 322291, 562911, 532214, 985913, 3898, 170591, 192726, 967038, 518805, 115015, 767521, 562072, 882703, 444932, 321749, 577699, 236276, 176161, 664291, 541092, 135612, 408198, 271419, 847422, 163894, 331512, 279661, 27618, 380829, 158312, 406532, 126276, 447880, 681350, 472824, 871581, 194954, 813658, 249643, 978950, 399994, 815098, 253732, 845595, 937368, 211544, 716158, 808308, 201105, 650408, 761667, 823617, 850735, 398027, 301264, 625907, 573233, 570538, 267550, 708988, 14765, 881210, 278205, 289437, 847411, 497662, 128550, 129197, 959844, 6322, 410288, 264274, 878903, 528738, 976529, 289935, 755643, 726069, 67945, 496084, 672175, 337663, 326290, 291836, 707153, 360058, 968430, 828301, 678613, 697707, 373300, 447281, 323213, 429846, 119923, 54242, 530624, 643497, 663361, 628032, 458599, 348266, 728158, 422158, 684910, 667501, 826151, 328674, 194667, 620627, 139578, 178170, 28636, 710052, 460686, 515742, 244715, 499975, 292992, 667511, 406658, 929474, 716826, 381350, 453898, 198184, 344466, 294733, 507448, 690881, 590903, 372233, 487812, 329267, 726393, 59583, 627031, 63965, 257569, 811325, 818595, 454410, 844564, 169078, 329152, 97741, 287586, 708551, 96745, 935484, 294448, 76215, 103941, 162517, 874534, 888852, 195663, 102041, 262506, 470033, 722693, 896344, 583171, 357816, 273618, 750904, 694430, 286085, 491215, 933109, 779249, 393432, 32381, 219461, 397570, 269644, 697510, 501104, 889946, 851152, 37604, 636721, 672002, 508722, 260499, 740224, 821204, 896739, 977815, 733836, 147454, 195569, 496219, 192563, 488365, 47141, 830377, 112634, 768278, 684337, 900103, 353932, 224799, 362625, 838136, 312763, 987935, 732323, 313922, 629382, 872010, 279220, 234268, 537718, 68843, 894647, 941108, 487526, 294189, 872657, 23687, 487184, 361371, 271946, 410380, 680275, 641228, 543450, 670418, 61143, 517728, 181970, 310622, 944121, 275311, 197879, 255196, 547506, 770263, 706957, 897913, 390688, 217690, 347609, 316750, 551876, 465428, 507599, 560899, 212968, 434862, 680330, 160272, 897443, 239920, 526507, 147872, 240279, 412510, 187213, 804794, 812660, 367760, 742992, 616412, 139083, 9371, 488707, 321014, 687849, 556781, 544729, 92454, 676539, 190431, 340522, 158498, 411333, 615021, 578541, 408946, 899283, 434930, 339138, 615047, 690284, 904471, 260440, 777975, 712880, 150113, 169901, 897015, 497546, 547018, 590647, 586622, 302568, 506776, 843282, 561375, 400865, 832374, 70945, 692720, 421512, 402170, 928937, 157055, 251109, 821922, 69216, 542095, 670579, 458700, 32348, 534598, 514522, 194259, 375736, 406270, 746499, 931950, 887055, 481328, 146781, 693583, 553903, 466436, 938448, 373092, 543570, 341756, 659423, 334814, 367946, 219940, 694118, 359164, 7228, 966767, 645175, 940512, 156773, 86467, 504685, 69621, 842175, 733956, 478148, 695863, 219171, 785168, 837585, 789538, 771076, 459222, 447398, 401691, 344892, 312572, 829444, 561300, 758514, 83476, 75563, 6410, 809626, 819579, 336547, 671741, 819770, 688993, 462995, 714195, 308670, 309759, 506648, 417647, 631101, 878052, 901543, 149160, 904949, 769065, 587639, 504489, 203799, 503808, 868379, 11133, 85505, 687538, 538409, 464095, 760699, 271296, 772979, 805660, 939309, 517910, 645934, 547863, 432869, 176242, 288137, 636541, 216054, 832343, 45370, 598708, 884961, 126221, 816492, 564334, 2601, 681224, 36813, 771416, 486724, 185758, 435642, 686683, 827907, 93697, 516679, 813162, 629624, 900970, 30801, 327214, 601558, 53975, 548273, 407668, 123076, 432231, 568432, 880852, 297700, 28168, 457244, 177506, 350016, 248792, 969464, 261319, 207179, 541062, 327715, 812363, 886462, 148262, 976518, 642916, 898126, 178413, 397740, 914420, 426865, 101748, 811534, 665904, 486057, 570810, 782076, 238519, 828478, 288445, 842319, 513776, 223053, 534563, 862568, 416630, 342937, 771393, 342591, 323096, 574784, 149103, 118550, 240153, 638921, 478427, 427336, 549448, 397617, 301869, 409995, 229717, 656277, 944772, 785353, 870021, 286639, 503508, 560644, 592311, 777037, 967070, 374652, 883979, 404524, 117755, 176190, 906094, 609875, 9616, 339778, 389528, 382427, 470030, 304575, 614031, 357652, 133830, 669013, 335795, 201950, 73645, 647629, 745720, 753089, 747360, 283337, 972449, 75630, 175228, 431356, 159195, 516718, 305610, 534538, 134973, 844878, 986989, 987642, 353302, 141967, 542106, 77538, 63677, 782571, 110982, 314508, 568858, 232176, 526536, 179491, 196058, 642864, 25871, 632131, 911942, 34732, 103817, 366651, 868865, 412068, 249475, 603831, 858560, 720443, 574482, 309092, 319589, 708538, 637612, 19574, 25502, 616496, 331296, 501411, 493517, 821725, 515559, 571514, 359645, 372933, 883141, 946627, 419850, 767257, 566309, 355523, 980208, 923238, 245113, 766570, 860420, 602592, 920210, 558190, 161870, 804702, 195418, 290025, 118017, 406573, 246894, 634337, 964689, 402517, 112748, 598928, 903871, 816626, 679218, 538272, 235733, 549605, 679023, 291006, 19193, 361903, 413673, 954159, 398343, 789268, 793423, 919278, 634324, 67148, 484236, 45837, 620485, 441521, 620816, 964370, 580615, 613803, 630137, 730522, 967928, 977223, 474277, 267057, 805220, 711608, 18930, 106605, 720990, 909509, 32179, 581689, 329438, 212770, 122289, 246840, 841921, 548858, 317214, 546951, 39556, 739396, 683307, 19967, 225751, 644615, 449568, 650524, 873093, 156123, 123844, 640358, 520713, 33316, 319793, 850261, 977870, 747322, 492171, 810760, 614518, 42344, 110123, 857775, 105187, 157231, 259567, 437069, 8249, 277045, 938982, 811249, 661674, 747086, 967032, 204006, 583691, 705058, 312217, 93495, 861334, 379270, 629736, 275546, 815218, 870931, 814629, 472115, 633006, 852903, 96901, 812742, 852139, 942896, 379427, 287782, 952114, 702807, 574396, 661916, 960382, 368780, 580595, 160286, 518085, 943333, 649845, 888493, 753406, 136064, 272485, 169332, 352137, 394519, 662834, 483392, 735460, 303619, 819559, 612212, 659188, 508486, 853911, 544346, 239614, 419876, 385579, 276518, 694416, 659, 361569, 241725, 778712, 199756, 110194, 289862, 286411, 322790, 394775, 90179, 849041, 11688, 408111, 414194, 140678, 214160, 438484, 173630, 911670, 321296, 434243, 191281, 614460, 913177, 973407, 213455, 539757, 93696 ]
990,039
[ 323934, 336525, 374492, 198834, 798323, 338860, 299235, 640365, 767972, 306422, 981677, 19862, 970290, 921183, 443172, 54396, 295062, 424740, 34363, 581476, 383643, 177542, 337024, 562424, 591589, 663564, 643081, 134558, 27752, 491233, 375715, 756276, 221092, 328257, 909933, 912409, 797320, 724807, 168853, 685067, 460671, 937591, 783295, 241808, 833212, 697644, 924246, 227038, 761673, 732625, 139302, 26344, 128580, 565865, 101182, 156961, 930791, 482992, 313228, 315236, 801526, 89823, 953491, 962711, 574143, 345217, 746302, 978427, 178484, 925089, 770430, 726477, 568752, 755631, 188213, 188977, 484613, 43923, 618348, 807419, 203632, 237380, 406047, 121941, 263455, 613144, 285630, 481955, 31352, 732789, 164425, 392612, 487167, 494497, 282798, 248827, 963433, 709132, 111275, 265115, 60485, 116058, 710601, 820025, 323332, 342969, 799048, 510977, 251788, 685795, 548019, 142205, 571201, 758370, 830587, 983781, 251082, 60515, 704696, 935456, 744501, 671294, 696363, 563759, 763244, 423231, 779212, 314213, 959644, 960455, 365083, 713781, 909448, 607193, 572703, 843112, 934220, 776552, 907327, 728581, 475520, 213278, 481969, 618031, 916534, 22871, 30657, 924035, 887999, 313290, 747333, 1914, 368203, 549262, 601578, 843560, 403932, 711830, 269400, 549302, 213551, 798421, 197289, 21852, 593962, 750698, 247237, 25479, 592998, 961566, 880459, 50664, 929602, 37397, 731852, 983913, 619147, 585439, 612276, 816258, 523851, 652146, 906163, 207831, 718547, 770301, 814947, 210292, 351568, 447762, 939219, 514578, 604233, 728385, 427116, 903300, 958807, 142956, 894492, 842272, 980965, 803338, 305420, 295806, 74045, 272540, 29743, 154993, 743556, 612182, 183377, 360024, 238884, 35059, 745160, 498548, 453834, 282258, 862446, 766027, 199500, 185007, 277425, 502327, 394786, 280865, 459037, 468323, 9057, 551739, 389356, 813502, 726465, 897167, 405310, 899397, 770472, 911828, 431604, 46076, 209935, 341579, 379620, 89081, 855078, 401967, 152145, 346176, 917898, 128561, 264229, 777166, 799876, 665610, 552732, 593946, 899334, 839933, 848964, 540857, 874829, 178593, 467377, 367439, 402885, 625118, 22893, 788985, 395522, 497936, 973301, 357036, 81724, 950076, 811287, 856072, 397671, 812398, 85423, 349321, 972874, 768884, 144234, 232456, 311004, 981978, 658727, 81108, 199513, 202197, 451458, 191972, 505639, 393420, 129138, 110978, 264933, 270714, 692166, 807381, 85960, 732490, 528150, 508091, 424038, 258831, 522945, 404553, 765409, 241298, 442843, 508554, 371453, 169394, 346181, 670966, 651160, 295619, 923663, 615631, 789997, 281748, 859030, 28772, 675612, 955143, 512089, 962071, 900632, 113765, 554520, 602058, 48611, 90953, 884037, 331190, 467679, 725655, 22182, 688822, 277, 644369, 663784, 717685, 617289, 948785, 519834, 158788, 958653, 459982, 488201, 267273, 775090, 473868, 516082, 293313, 291208, 940389, 109522, 909974, 443151, 420338, 23713, 313543, 359571, 741472, 719427, 637455, 954668, 347748, 274296, 978544, 804536, 557358, 167949, 438621, 944275, 70071, 172990, 572536, 624399, 532492, 5315, 729735, 796291, 891306, 328829, 438330, 790796, 696354, 818464, 143411, 36022, 259191, 816073, 285638, 468402, 2298, 582305, 544180, 443640, 409530, 655129, 517958, 119891, 338090, 673658, 147439, 941189, 16992, 389942, 557202, 515449, 564467, 796565, 905351, 253804, 496078, 148270, 196258, 250159, 380639, 250871, 857651, 404687, 844795, 518194, 118949, 785521, 185257, 582497, 486133, 444043, 703687, 970614, 448727, 289251, 292727, 852854, 357654, 220230, 270883, 286770, 53361, 766160, 354393, 196343, 737610, 66501, 318107, 678551, 599761, 323839, 869378, 266087, 722852, 888086, 419638, 945472, 818015, 958100, 806730, 561356, 532440, 66851, 843808, 678788, 705160, 840351, 919750, 467440, 108006, 33161, 464417, 234942, 84130, 16963, 313431, 761542, 428468, 646631, 882715, 323322, 425264, 572257, 915039, 103027, 211690, 893447, 784115, 957386, 776194, 280462, 898261, 357239, 30731, 195403, 157384, 79528, 588476, 531525, 137708, 110246, 623551, 988299, 456464, 260876, 74827, 219524, 23853, 229092, 763091, 581180, 937577, 136581, 469562, 962857, 384276, 450872, 705288, 675453, 559061, 12685, 278498, 759883, 539663, 928684, 674330, 96758, 843710, 300827, 979902, 480879, 922408, 351056, 416408, 730818, 668724, 579724, 25168, 873816, 814963, 678846, 201101, 947699, 711499, 862833, 467249, 311281, 370886, 201901, 455583, 900719, 392681, 340749, 616053, 906865, 65169, 89072, 961848, 610458, 422533, 555298, 509866, 622207, 59966, 635908, 598431, 376997, 524655, 182405, 232369, 382341, 708248, 771043, 924860, 343856, 326255, 287900, 244964, 149205, 597292, 169652, 218469, 132199, 386773, 181881, 23340, 616937, 491288, 788644, 382905, 182543, 911270, 27240, 691756, 352273, 747971, 795775, 449073, 174615, 230780, 973224, 417095, 355514, 361604, 80218, 247269, 65370, 605614, 679744, 40387, 173533, 12353, 23988, 294042, 811027, 371473, 897337, 830484, 221185, 18241, 370405, 422718, 191423, 607716, 731105, 120565, 232729, 450165, 802190, 439766, 481418, 134689, 556383, 431709, 194373, 470732, 418733, 747593, 189791, 773903, 111380, 860826, 336628, 680929, 867430, 529702, 633161, 887170, 547284, 340936, 154860, 666257, 259471, 192066, 922927, 634276, 459619, 883099, 322428, 315472, 115645, 787222, 523007, 369901, 39638, 893783, 485846, 29697, 662845, 63570, 826069, 880600, 74141, 267524, 271970, 887196, 401878, 121339, 142681, 320917, 116421, 945422, 351204, 35587, 472903, 378972, 227706, 850003, 446281, 279868, 495697, 660635, 419164, 630591, 519953, 19227, 557986, 494937, 228848, 636345, 557646, 866986, 963572, 614542, 196643, 327423, 196924, 724181, 173813, 156065, 222785, 494941, 379195, 161017, 683211, 485137, 986828, 282240, 525532, 874704, 677962, 250332, 235561, 346467, 194238, 552865, 516071, 452005, 315730, 795926, 541500, 633909, 129568, 526900, 299726, 571088, 22369, 96548, 7742, 473953, 395320, 772222, 818075, 661192, 734456, 906637, 61855, 524466, 246246, 647533, 358353, 838810, 913282, 696608, 974354, 716173, 394629, 96423, 685703, 726481, 690054, 137638, 199881, 632299, 89303, 519168, 214248, 228984, 331854, 716135, 127104, 828105, 753501, 333078, 597595, 947689, 132967, 882327, 879988, 215382, 631927, 715943, 810907, 740375, 475730, 721654, 522686, 694973, 893008, 939579, 468728, 442675, 302703, 835883, 721367, 476870, 31191, 389776, 290620, 624689, 766184, 977038, 663627, 388105, 733747, 522922, 402883, 772908, 93039, 249898, 220386, 581581, 764287, 843693, 140067, 518272, 522220, 468149, 953576, 796531, 299835, 651771, 476483, 693650, 7826, 348533, 275354, 852565, 881198, 84848, 471132, 625518, 187701, 320292, 581804, 908116, 854424, 238651, 626775, 569770, 895960, 638475, 605478, 963974, 30268, 849791, 752851, 763606, 569518, 299236, 658538, 861591, 385695, 708154, 584197, 473551, 218588, 6720, 327177, 667161, 566312, 285803, 927850, 403448, 806828, 253965, 574874, 218209, 839625, 330908, 487996, 502925, 615083, 638085, 110685, 663823, 808738, 679423, 89471, 265652, 174642, 228570, 865869, 733599, 255552, 545156, 802458, 20418, 891493, 729783, 381663, 987892, 364152, 470635, 268162, 207843, 759127, 41724, 850306, 195679, 857888, 187963, 731859, 658187, 736654, 344312, 664089, 329613, 90453, 892760, 841058, 270767, 308377, 833922, 904424, 271123, 303741, 27891, 220855, 442033, 333399, 558733, 876885, 58898, 190842, 278431, 720383, 420575, 197114, 124239, 266549, 898070, 680253, 980829, 680363, 755912, 324394, 453687, 100027, 978729, 953691, 667877, 980137, 324896, 327074, 97192, 851127, 654292, 766262, 267566, 897157, 916130, 487752, 11861, 504480, 198244, 883922, 863935, 151275, 378789, 392744, 23917, 627501, 639267, 515860, 585961, 573590, 517930, 973334, 756442, 145149, 887811, 449508, 674111, 4282, 420913, 462205, 424830, 943407, 822927, 280924, 528960, 116828, 551799, 778432, 565776, 282828, 642730, 226469, 433060, 702387, 948754, 937268, 846116, 483724, 62520, 228693, 641559 ]
990,040
[ 966938, 3289, 8951, 931567, 909878, 887662, 131019, 552258, 490403, 75490, 467195, 176577, 515286, 582466, 439428, 395156, 430944, 710450, 359625, 743800, 616785, 973963, 497238, 699529, 862963, 607981, 482482, 627681, 947086, 880046, 298932, 618897, 744945, 229445, 311262, 131845, 381543, 749756, 862522, 666818, 587929, 866065, 32881, 842779, 659154, 706686, 348494, 708562, 341842, 51076, 670458, 721622, 600331, 646760, 580862, 435572, 120498, 361557, 726249, 42442, 638934, 32822, 525260, 118093, 23390, 879182, 368778, 828021, 158176, 73699, 193102, 163357, 230732, 793814, 587399, 475039, 743952, 679397, 241494, 796014, 151841, 126385, 776224, 410825, 516245, 121271, 573037, 18267, 690876, 606475, 290664, 761953, 611743, 774866, 597978, 701174, 662233, 756499, 401978, 262282, 21147, 238268, 964812, 11297, 525583, 429250, 94021, 941540, 127497, 543893, 383913, 454575, 407742, 782019, 146669, 730045, 55606, 382257, 577065, 232870, 15716, 48238, 566017, 245470, 863357, 251151, 328288, 408285, 890033, 479775, 927043, 241880, 653754, 308795, 310469, 414881, 832946, 504549, 271809, 286664, 428497, 719487, 686855, 509801, 507929, 722683, 925723, 381051, 245814, 922206, 264750, 191504, 100952, 345786, 900894, 784418, 500578, 977337, 627053, 61547, 221387, 417120, 496547, 379636, 689059, 14315, 212052, 300789, 806767, 269376, 428870, 153544, 934195, 232802, 155215, 865768, 613934, 945322, 453236, 780705, 568156, 319575, 612042, 365705, 60962, 354778, 388516, 150811, 379364, 662652, 518484, 37963, 941394, 701666, 948721, 923198, 505754, 313835, 227543, 80659, 136983, 535667, 693868, 154319, 255818, 968860, 862739, 477939, 39328, 963745, 84253, 544345, 591573, 804586, 114256, 586833, 185832, 910479, 823318, 581585, 469601, 556183, 620515, 697814, 101358, 121435, 78078, 393547, 679507, 69682, 823573, 782163, 649000, 159190, 725792, 116777, 106456, 259095, 435, 583566, 19514, 47102, 438142, 533049, 457568, 608748, 965139, 124629, 558078, 590241, 452476, 370416, 90744, 524631, 624004, 962435, 708955, 495051, 714931, 501321, 546137, 773840, 186459, 543872, 923334, 219655, 517731, 645955, 626831, 900878, 275029, 594121, 161081, 136881, 528503, 549036, 843860, 465517, 651161, 868548, 803253, 411388, 206395, 272553, 921226, 737653, 532277, 35510, 247830, 310844, 973287, 131012, 46835, 783586, 886493, 523451, 926812, 849701, 330529, 294323, 612621, 699553, 27791, 792122, 295101, 599474, 983661, 571252, 472986, 408854, 430199, 978456, 38037, 949422, 221650, 308133, 849318, 73020, 76374, 304501, 347009, 133509, 861861, 310241, 679914, 785562, 435551, 662753, 571496, 635907, 553238, 185170, 735748, 125517, 961492, 518476, 709678, 979348, 920102, 115859, 170450, 944163, 937070, 213867, 474286, 308711, 773895, 612189, 428933, 486995, 683029, 435006, 9178, 348805, 482294, 580788, 224349, 658322, 624551, 554877, 643640, 758139, 677365, 435967, 16715, 678567, 854929, 410006, 170673, 878955, 553429, 762125, 146122, 661642, 957737, 563457, 934100, 483205, 977567, 546113, 755097, 268374, 394188, 627324, 625536, 692406, 655530, 33369, 64248, 141298, 708519, 363471, 171100, 889802, 492039, 915404, 919034, 664859, 399187, 253403, 325588, 38651, 443121, 525503, 440045, 86848, 826801, 959527, 415898, 700297, 620167, 459984, 721943, 500194, 202071, 468046, 208838, 693042, 166066, 656383, 649463, 583145, 152458, 895538, 347747, 439631, 696440, 733847, 347789, 765797, 271059, 31375, 196160, 331164, 206, 174934, 852835, 178754, 768122, 632481, 7273, 955788, 131842, 111969, 970489, 412380, 422968, 409589, 847266, 561492, 270493, 101064, 852610, 952479, 968821, 845238, 172086, 147919, 46608, 212253, 775826, 814175, 364151, 311148, 648545, 432564, 740880, 236761, 888061, 138453, 406153, 583589, 837746, 560544, 900962, 69814, 705204, 722174, 747933, 71878, 104110, 271534, 887351, 409058, 607904, 553632, 798384, 81655, 797059, 666779, 974278, 232267, 336844, 272918, 698480, 975704, 373946, 420263, 180282, 518137, 855115, 30264, 537003, 883534, 323083, 447572, 462739, 876116, 4185, 733914, 302280, 607288, 443682, 504035, 739832, 789407, 8265, 983401, 758708, 316862, 236074, 153327, 949859, 984409, 757864, 267890, 985403, 707564, 893634, 16572, 424721, 906899, 922495, 120302, 142594, 157929, 398713, 34127, 658195, 218676, 230187, 343424, 11601, 352206, 956895, 905941, 732476, 205650, 515995, 707428, 610015, 520838, 437427, 276328, 341698, 9104, 320139, 415134, 318298, 174599, 444240, 483177, 304957, 875723, 82192, 570070, 200598, 692262, 376898, 94266, 660492, 650852, 480502, 950407, 950126, 779060, 31114, 946943, 983268, 167178, 531611, 842654, 234387, 466283, 113863, 830521, 763112, 163962, 381978, 557053, 524536, 549361, 721337, 61972, 409831, 177463, 862626, 702408, 715173, 582931, 503403, 76464, 428375, 222212, 610848, 850078, 320797, 884447, 52761, 662922, 164253, 866857, 93541, 244452, 141350, 680496, 143169, 424784, 712777, 814461, 459483, 338635, 629699, 123574, 424362, 843035, 49436, 785226, 764941, 559901, 806761, 423746, 817429, 531153, 963612, 263795, 388560, 850681, 812626, 465615, 553394, 378102, 135421, 658884, 810708, 820493, 987319, 524102, 711422, 428484, 21096, 901209, 538712, 576548, 629278, 865024, 404313, 61585, 211575, 556677, 883518, 530162, 202100, 618247, 620996, 612968, 118525, 96708, 288377, 290144, 76292, 758663, 788764, 558092, 93291, 871277, 73869, 234425, 596029, 115187, 290222, 583968, 956929, 172636, 549493, 829783, 34491, 629493, 390036, 938307, 411240, 348650, 245560, 134720, 14626, 920811, 879896, 499033, 676038, 987278, 922555, 237361, 574153, 327653, 514986, 611973, 643324, 590444, 1113, 950241, 733033, 216360, 569721, 955648, 885566, 214691, 523804, 969416, 888884, 673511, 669704, 279626, 552999, 357389, 377675, 190838, 845895, 730476, 375086, 185240, 795261, 923389, 817492, 396406, 151248, 684515, 154121, 211439, 593, 662661, 932155, 840211, 703902, 832174, 691808, 986980, 562694, 875278, 57101, 702443, 713797, 207152, 636598, 409678, 246279, 418627, 392227, 601831, 984797, 155147, 122601, 729924, 592279, 199519, 984508, 794798, 49297, 796587, 21659, 544783, 200233, 218412, 488202, 542714, 296320, 767417, 893964, 282179, 407147, 343465, 431137, 67498, 210863, 787965, 272209, 25686, 186079, 495184, 393227, 789524, 482799, 501735, 601641, 948710, 740403, 662987, 330083, 643916, 269616, 530382, 486193, 743659, 21425, 52678, 209734, 322205, 852731, 708766, 289615, 74851, 657618, 510257, 256144, 294076, 567265, 648579, 950316, 757023, 858216, 331293, 753659, 24502, 888626, 310738, 224386, 658939, 166317, 683903, 753073, 400507, 367582, 383729, 51642, 718075, 544265, 455478, 632214, 526589, 703737, 827453, 957544, 647014, 80791, 473314, 784649, 200203, 467920, 105996, 495014, 679278, 847220, 479122, 691004, 932219, 816335, 401396, 989637, 470623, 567097, 398377, 364983, 854511, 83612, 708508, 688671, 238151, 525681, 344883, 674917, 262836, 47437, 422038, 636633, 260257, 302704, 402889, 300810, 677806, 900547, 469840, 688200, 763778, 856824, 623945, 304348, 301438, 786426, 347826, 344379, 292170, 855375, 368373, 610153, 271726, 683796, 658663, 465364, 64927, 164734, 336502, 578990, 176328, 53344, 469222, 277795, 609016, 811983, 942509, 892879, 15314, 475271, 535344, 554415, 8851, 400054, 927302, 85796, 357823, 351354, 173729, 206151, 644320, 240960, 554202, 803286, 303734, 170813, 220146, 982500, 152924, 468699, 916185, 986756, 818690, 972333, 979609, 118236, 277318, 831985, 945490, 755237, 793839, 974165, 291304, 772971, 842703, 551605, 933564, 703390, 342784, 720783, 2104, 887400, 634020, 363204, 916460, 610923, 294087, 783139, 596477, 49301, 529689, 324161, 149877, 332138, 758957, 826760, 920629, 317941, 38106, 462798, 573472, 848381, 574969, 867217, 494776, 257684, 944843, 561000, 637468, 793091, 205642, 627393, 542685, 489462, 546622, 446901, 890022, 819632, 280290, 227233, 557484, 975025, 309210, 467451, 940082, 813313, 266615, 210425, 164989 ]
990,041
[ 147244, 480918, 629796, 374532, 901487, 429634, 845641, 652415, 645988, 561831, 363690, 11492, 358535, 279842, 122144, 852566, 579686, 447551, 207036, 549593, 684608, 454141, 957014, 957047, 877930, 153425, 5467, 947684, 310542, 919166, 24017, 486774, 132590, 473681, 588829, 622023, 584329, 371277, 75233, 989023, 659466, 943549, 266253, 40663, 306961, 422940, 438999, 890936, 303748, 488756, 599638, 455916, 319787, 450227, 959700, 151244, 31257, 26249, 975345, 12583, 237652, 951631, 278437, 606088, 176221, 917297, 678667, 99179, 324511, 739197, 309800, 424737, 639271, 137720, 163342, 709556, 789329, 827320, 351372, 191558, 536987, 120393, 796500, 880358, 129458, 323362, 828244, 700934, 628142, 248201, 319717, 140342, 249186, 926742, 915965, 495730, 164071, 521850, 539973, 870350, 876936, 276981, 39704, 466442, 829098, 203311, 140225, 216109, 408167, 146733, 5908, 673461, 660132, 571698, 451831, 397305, 123903, 27456, 562132, 15658, 150647, 527808, 262891, 393653, 265585, 678865, 263441, 671912, 504033, 389598, 245808, 566456, 888843, 740803, 82698, 119012, 88163, 201851, 594063, 341793, 727088, 880711, 518952, 106394, 626686, 121559, 979209, 127652, 129353, 859169, 181517, 724906, 206594, 342790, 461070, 806663, 285081, 828658, 200869, 778724, 433888, 252201, 194251, 616969, 382063, 345714, 877375, 441929, 728003, 325525, 144662, 562632, 70771, 334067, 321797, 559450, 212594, 469183, 43268, 974904, 149732, 194885, 40094, 620113, 796862, 63377, 282702, 849100, 104683, 557764, 919834, 155979, 539447, 594073, 373206, 574751, 128072, 451843, 835231, 163206, 920157, 241622, 112571, 207353, 792595, 620758, 121636, 90728, 914907, 66262, 162474, 143617, 427867, 617321, 81015, 396971, 95177, 165059, 817970, 185724, 135309, 173610, 41339, 566803, 499868, 103565, 754652, 986196, 717581, 635900, 328908, 648365, 774888, 943230, 556939, 501887, 390768, 638977, 326571, 444390, 67447, 575246, 450198, 859067, 581559, 867568, 283611, 638522, 662138, 746532, 154729, 872687, 827851, 82075, 555042, 496395, 660859, 857135, 399171, 544670, 782698, 64176, 977632, 551573, 712728, 434893, 280893, 573565, 887403, 838111, 131244, 276995, 10819, 753077, 117593, 945576, 488753, 162822, 612626, 609284, 511874, 427315, 984752, 168156, 692405, 476502, 847358, 910132, 338093, 127886, 827462, 383431, 789661, 95812, 952419, 659667, 965733, 758522, 183594, 617505, 37324, 551909, 19752, 168744, 614724, 498367, 885398, 839397, 319290, 719214, 813065, 217676, 681756, 166465, 407768, 925816, 99381, 883167, 789882, 464121, 94355, 297557, 531846, 792055, 371193, 588326, 594410, 535917, 210328, 568989, 970274, 913263, 745699, 309215, 479736, 933902, 850245, 399386, 157201, 838395, 342298, 406382, 781631, 896478, 971118, 870916, 654364, 766424, 280236, 255772, 67130, 733601, 511695, 17068, 153781, 388201, 471199, 803616, 158784, 737573, 753260, 466070, 151542, 394347, 525579, 14570, 823470, 158362, 34982, 566165, 648609, 106199, 212181, 747155, 485557, 569920, 97724, 675345, 608043, 299412, 260172, 30193, 405987, 880884, 127620, 594367, 702589, 167501, 438163, 796479, 229246, 8126, 61559, 664476, 457029, 74253, 25690, 159932, 669718, 335494, 808637, 783180, 271488, 910955, 419225, 647049, 428177, 66226, 234738, 812958, 979655, 899205, 510073, 44541, 254557, 954046, 472723, 569330, 242302, 395957, 908130, 377610, 386696, 366380, 271808, 875712, 482075, 620695, 274757, 677336, 760407, 310991, 773920, 651669, 198801, 167754, 2158, 845380, 165735, 656651, 806823, 409983, 939031, 585005, 127920, 624301, 213885, 787633, 353816, 719942, 417302, 481796, 247174, 346725, 246140, 838768, 464204, 267224, 289585, 200613, 760622, 471679, 935102, 515634, 13580, 626051, 295471, 669224, 152674, 444813, 112417, 887350, 686933, 833810, 95635, 608902, 984035, 389496, 258291, 916096, 647877, 316396, 837199, 766966, 643337, 257992, 772351, 538806, 332591, 755706, 489695, 928049, 974694, 683109, 663549, 100682, 459251, 447708, 530035, 438941, 958678, 755500, 405565, 293941, 46231, 229872, 637918, 749718, 118126, 414116, 18937, 130677, 485082, 715630, 772018, 877485, 406611, 857428, 520525, 298410, 958863, 354737, 88868, 792175, 13826, 570521, 498139, 9350, 460748, 579157, 484412, 195009, 696216, 982638, 117018, 986449, 497465, 241765, 766632, 130091, 545564, 467269, 428003, 601689, 708600, 240461, 247043, 569516, 916284, 605671, 768819, 542850, 613220, 382388, 2987, 20235, 642085, 180301, 717727, 140733, 304964, 139699, 699855, 700579, 573964, 22827, 202575, 503392, 966471, 398823, 86171, 129595, 172330, 728142, 527503, 625237, 394273, 76349, 683921, 923040, 322214, 317911, 378596, 53246, 272987, 76689, 821784, 594333, 749133, 450568, 865300, 381732, 958978, 821645, 973254, 99578, 572751, 217220, 916255, 451955, 415792, 494761, 683896, 651566, 979143, 132699, 777311, 368379, 142449, 797421, 593850, 503405, 916260, 397456, 318539, 222842, 300420, 63287, 806351, 559574, 661484, 101316, 286187, 898908, 98948, 857623, 982974, 762944, 108280, 488264, 944232, 340690, 793937, 67325, 682890, 842120, 638521, 832933, 392657, 70351, 208600, 701190, 960129, 903738, 84505, 517508, 872551, 926991, 434617, 784421, 388991, 498774, 589356, 718751, 435137, 153579, 983165, 513348, 628451, 96139, 458014, 635496, 938579, 290103, 276649, 444091, 823073, 604098, 332441, 453024, 931764, 64920, 707281, 220539, 629654, 427284, 890014, 53996, 477210, 378913, 512263, 32867, 980460, 115630, 851408, 949475, 807142, 86914, 400530, 584946, 1081, 786728, 144890, 638158, 231056, 236840, 271016, 676695, 7825, 638744, 886955, 574291, 259417, 140578, 403073, 93470, 603935, 117703, 171435, 799262, 671754, 85304, 178151, 811415, 541198, 133156, 750167, 783091, 572772, 975508, 668847, 756685, 330426, 468267, 43544, 249493, 963209, 473726, 198062, 368607, 359871, 880908, 24042, 721907, 578560, 96698, 289173, 308321, 867682, 132432, 471868, 971705, 537756, 870704, 335161, 704413, 953888, 588892, 295761, 185946, 62217, 76195, 799882, 535192, 18946, 20075, 779258, 267229, 112856, 978643, 764755, 464087, 188023, 583741, 747270, 937177, 52296, 807914, 310648, 315427, 743936, 99974, 702688, 506174, 142609, 758942, 252391, 859918, 843317, 377566, 954885, 793418, 48440, 878091, 728180, 656855, 571723, 665358, 181234, 813735, 190283, 540755, 910660, 840729, 433803, 308362, 483923, 585946, 834149, 108331, 399887, 117512, 675809, 411688, 742285, 743765, 623724, 155932, 894147, 603102, 520494, 437370, 564193, 372859, 200136, 45560, 592901, 815447, 785839, 40335, 945536, 623413, 941063, 477702, 48079, 984190, 190354, 891506, 398094, 326465, 349768, 514836, 375006, 134430, 274521, 699405, 160328, 654110, 102013, 449564, 165477, 411914, 257276, 51590, 632023, 199075, 870648, 96025, 710101, 16576, 915771, 155183, 796159, 377494, 556089, 247151, 517581, 537384, 514754, 697558, 397356, 374192, 212711, 286810, 846097, 278522, 303372, 748675, 690, 339852, 699805, 301141, 920606, 610017, 261849, 880305, 510987, 366833, 161121, 464868, 566506, 314124, 794754, 207039, 202974, 273072, 840926, 454792, 598119, 219429, 625199, 563973, 360509, 8198, 515210, 600100, 52954, 916829, 890962, 158602, 913855, 413909, 720471, 823890, 684578, 468872, 337807, 386261, 504866, 510220, 854559, 701325, 597787, 639051, 959307, 880475, 434585, 868821, 548226, 828609, 645553, 501509, 786476, 943583, 245424, 911803, 790844, 490465, 614804, 305699, 732809, 423358, 241884, 823313, 809348, 578923, 840687, 932607, 517976, 793503, 947621, 591441, 377087, 955200, 716030, 236570, 691826, 734803, 421248, 57465, 492088, 565594, 160545, 650890, 13541, 568961, 944461, 183470, 58902, 774355, 732909, 892323, 869945, 627474, 119256, 457223, 451709, 673306, 595568, 595844, 740367, 453259, 253456, 359525, 286331, 898813, 342399, 239426, 882458, 48028, 937676, 836334, 438873, 280990, 465499, 632295, 803365, 37113, 618408, 319322, 487170, 793048, 329073, 591, 226302, 767141, 339223, 641490, 191270, 609124 ]
990,042
[ 516995, 72993, 531647, 269414, 918922, 5871, 803096, 633890, 558998, 637793, 719091, 290846, 948877, 833294, 523494, 650157, 6315, 655541, 193668, 36519, 308304, 377586, 75595, 577508, 261594, 7993, 506832, 816860, 107041, 538484, 880488, 47157, 826737, 918217, 637548, 332874, 944346, 139906, 878937, 437257, 569621, 73164, 457036, 152892, 413062, 417602, 820927, 165820, 329503, 429324, 726558, 178300, 193169, 707106, 201644, 544606, 358321, 95794, 423223, 795486, 195435, 543293, 947335, 415323, 344338, 620018, 918900, 444583, 102636, 337377, 760702, 463234, 617241, 189797, 858437, 793908, 768040, 544559, 311085, 415954, 303836, 864100, 243530, 770923, 23749, 165213, 244648, 327904, 901287, 48198, 453313, 398647, 281722, 53362, 631083, 543832, 285823, 899134, 967952, 587666, 644700, 118589, 726139, 975072, 612818, 634173, 76604, 923898, 371351, 93750, 719755, 769285, 135645, 271244, 322169, 297763, 508523, 821842, 658770, 680678, 56933, 420537, 652821, 284446, 43627, 177131, 563112, 486160, 803434, 473240, 145563, 706476, 889302, 3058, 521445, 879393, 462600, 619251, 675874, 579410, 843206, 280055, 911489, 488175, 236860, 894220, 927929, 694546, 634741, 384739, 42435, 453386, 548286, 155374, 954263, 867033, 782610, 488416, 367835, 321039, 929851, 71316, 420957, 868156, 673451, 984779, 404291, 860991, 383349, 949491, 76702, 247961, 490631, 524835, 124488, 426027, 459792, 96913, 190642, 780725, 885003, 581080, 464229, 761229, 866844, 210757, 157271, 684059, 675246, 864194, 447309, 188734, 124132, 694290, 162869, 839632, 751015, 344015, 9024, 359072, 674891, 208377, 508863, 544788, 454192, 138232, 862891, 830220, 612673, 328155, 384706, 856866, 213664, 653720, 983397, 230352, 676702, 191441, 901674, 267126, 124098, 297202, 739574, 222364, 69063, 675040, 89224, 569499, 965009, 531210, 530194, 37095, 20519, 694062, 349101, 661652, 603050, 861404, 25739, 933860, 660050, 872447, 704000, 193490, 899290, 161065, 180627, 204185, 131984, 674150, 299282, 486218, 122034, 515295, 581107, 586073, 122847, 456691, 82337, 857435, 975103, 589105, 815593, 317509, 843173, 656080, 953431, 748103, 379087, 987632, 976344, 89050, 781844, 742495, 769576, 677890, 908059, 696704, 522854, 916761, 208726, 131769, 869176, 150211, 443350, 922332, 239150, 160142, 693704, 638965, 696514, 651516, 320153, 743877, 595570, 552448, 770688, 650074, 963747, 649835, 555405, 109099, 557789, 515915, 380792, 809171, 436109, 757936, 185207, 879484, 498908, 612088, 395829, 959388, 374132, 391965, 767032, 518928, 589924, 911243, 640192, 57670, 983314, 965236, 841322, 48029, 525318, 279634, 179306, 231243, 430482, 395227, 215399, 121011, 319443, 248935, 389920, 242789, 725670, 380483, 957803, 250909, 456771, 663692, 916214, 903661, 151818, 834396, 313088, 716280, 402240, 779047, 759286, 372762, 140081, 88184, 725273, 901335, 436260, 747077, 98295, 945743, 477880, 265809, 427993, 186713, 419254, 598391, 415948, 709063, 141082, 552372, 850309, 169239, 746245, 583815, 280811, 49641, 636889, 47905, 687863, 893529, 312221, 703842, 280969, 41713, 350828, 804057, 643909, 367212, 406142, 719488, 154407, 694941, 946987, 281322, 596934, 694029, 967682, 723370, 72331, 144914, 101087, 966666, 142739, 95559, 593846, 437191, 764012, 279672, 427965, 935863, 275922, 746340, 498154, 74684, 347395, 947420, 189905, 164951, 326275, 629435, 724280, 151959, 154406, 604223, 114116, 420680, 65303, 793046, 108287, 65182, 856029, 217330, 323931, 164522, 631714, 573492, 437868, 401880, 170482, 202435, 310376, 862698, 380572, 545588, 957764, 440875, 21162, 36311, 743155, 864637, 81832, 311314, 280962, 932515, 362833, 501235, 291176, 614373, 325115, 505580, 945174, 102086, 678705, 473810, 980720, 432230, 241373, 519591, 514613, 773127, 210815, 845861, 726827, 887820, 983408, 492991, 794519, 63734, 979381, 697974, 252789, 645298, 427750, 764426, 936530, 892748, 414708, 509824, 195432, 284890, 560133, 571383, 984867, 606595, 909757, 401216, 797857, 830511, 586572, 895496, 241181, 58917, 555795, 731293, 223354, 607079, 381067, 127724, 981734, 821543, 216869, 731177, 669855, 491667, 160204, 163925, 955386, 622384, 172750, 619750, 819935, 303152, 291598, 300746, 839629, 929219, 36009, 913461, 435697, 573326, 265619, 189228, 889690, 700463, 114833, 473949, 829174, 982675, 239955, 305065, 596387, 491045, 786741, 623229, 18646, 303186, 494588, 904259, 831603, 435211, 587162, 779491, 518601, 567697, 58448, 562961, 905367, 657139, 95671, 76879, 328524, 205717, 671926, 120901, 137016, 702084, 507176, 663878, 147295, 355913, 611959, 190094, 358202, 171621, 264482, 683990, 343757, 895616, 198302, 133813, 634883, 543531, 238161, 574858, 508401, 625081, 123345, 250569, 99986, 219428, 882753, 770210, 717581, 827730, 808152, 124423, 329495, 820997, 246670, 938814, 720398, 277125, 341920, 412915, 663080, 696469, 454799, 114157, 361299, 273073, 597954, 768610, 504591, 336381, 296685, 269489, 130719, 966355, 351734, 276028, 106848, 942742, 59643, 231585, 146016, 940327, 584455, 72934, 677388, 332488, 48551, 341646, 989276, 385695, 670996, 398439, 873700, 197869, 322008, 306525, 800329, 765417, 554495, 6672, 611330, 935182, 89820, 906404, 841347, 35254, 955123, 91755, 508412, 954410, 266833, 609650, 159517, 473002, 746900, 213933, 886483, 885657, 580752, 55362, 963269, 571240, 223602, 229758, 795942, 989313, 245597, 133532, 718763, 364069, 105326, 53483, 273766, 610241, 656144, 246399, 708888, 198538, 443704, 498069, 408772, 92831, 520684, 822181, 494515, 537463, 122538, 671931, 326292, 510208, 101276, 514048, 659990, 181893, 911733, 403346, 919659, 948172, 723764, 408350, 157538, 388618, 650275, 61509, 243205, 748462, 112135, 67633, 278567, 47852, 738208, 855736, 877862, 334958, 333758, 448846, 734230, 25974, 446578, 747612, 830021, 973961, 290845, 248612, 190761, 294806, 630636, 539478, 84262, 269473, 190058, 25963, 4739, 878660, 381801, 372322, 956467, 369824, 744738, 439667, 697617, 460544, 851962, 818717, 780867, 635552, 470249, 301791, 31820, 53303, 82269, 199255, 523069, 113294, 268095, 744362, 371078, 512670, 730309, 230509, 916296, 802040, 979845, 106157, 861146, 943284, 193112, 709513, 927365, 22399, 123776, 6773, 334520, 149363, 311128, 427138, 758032, 939040, 175419, 277594, 908838, 544763, 896741, 644181, 614624, 586777, 81158, 380234, 781573, 585132, 140651, 533830, 975120, 956371, 556826, 140363, 126710, 852121, 709430, 275287, 974329, 211717, 78917, 667723, 272385, 409719, 622960, 842359, 34448, 510945, 729274, 571444, 51176, 290882, 109725, 837432, 496348, 845735, 543909, 39916, 159747, 48941, 16770, 585986, 891713, 805214, 256433, 962066, 179034, 428429, 952085, 3638, 639218, 231036, 199842, 728167, 17349, 798896, 266921, 170238, 23380, 159863, 549587, 291093, 712789, 742547, 770355, 303483, 226396, 636688, 693624, 86135, 447278, 853562, 857504, 415735, 784033, 376403, 601295, 947565, 310642, 295679, 849195, 693957, 593705, 961354, 969276, 683941, 529427, 542362, 297864, 85305, 742369, 978221, 671291, 579749, 783455, 852221, 828693, 370319, 276224, 531247, 418485, 847413, 710885, 827309, 450455, 228351, 780487, 101382, 361816, 921167, 679698, 136812, 985971, 596700, 366098, 345151, 836771, 403636, 606558, 351629, 137343, 248860, 599438, 771054, 389699, 249175, 513219, 473206, 870280, 510291, 45372, 250740, 105551, 902009, 108871, 546209, 126912, 213945, 248628, 486676, 117030, 251814, 616117, 827022, 158197, 86268, 594602, 783912, 851954, 896541, 90580, 150406, 973669, 108022, 108021, 963827, 312264, 259419, 819713, 825608, 553667, 154863, 558596, 536283, 696596, 669630, 778122, 989934, 127840, 276691, 634951, 308272, 139315, 700724, 193535, 747535, 671023, 559433, 401968, 834158, 268671, 782298, 834681, 733865, 642057, 970222, 14973, 352296, 422449, 58217, 553361, 923412, 901415, 964014, 290890, 225396, 722262, 249083, 681493, 958816, 456447, 414980, 986926, 582522, 534053, 749849, 903204, 843748, 906332, 508622, 4829, 817710 ]
990,043
[ 332134, 143340, 234495, 816385, 550948, 938128, 374276, 538779, 581420, 630435, 193725, 326662, 613531, 935584, 697524, 322842, 587638, 782614, 237082, 652646, 699046, 532237, 495266, 451940, 885258, 925771, 881668, 470355, 551131, 947075, 403065, 745841, 433554, 143558, 891747, 175840, 90587, 865288, 391312, 676507, 244180, 464739, 603005, 139267, 67569, 734794, 388957, 539422, 299827, 438090, 719987, 235757, 167874, 947299, 155878, 391914, 213882, 610521, 442440, 278805, 73653, 868016, 946294, 835298, 607935, 100606, 406669, 265761, 960423, 637083, 291359, 83589, 29679, 829419, 586215, 202936, 536311, 523770, 973902, 268270, 577752, 434244, 181898, 853116, 822761, 14396, 658811, 463530, 452015, 924063, 317675, 577223, 795328, 671328, 219700, 916654, 95440, 466590, 459981, 600147, 272981, 988758, 127805, 814321, 115010, 357340, 557346, 126124, 364077, 782428, 491966, 179414, 727654, 148357, 309780, 691767, 654978, 60968, 374277, 142419, 335427, 847720, 813600, 516328, 92147, 251826, 582129, 571358, 896946, 700836, 601323, 615524, 689395, 316872, 983834, 812054, 522735, 890395, 524558, 245662, 541017, 903695, 247585, 264754, 364674, 826364, 354886, 580465, 471411, 172059, 538040, 806780, 234379, 717557, 551724, 297283, 684615, 116462, 926581, 210497, 908494, 865581, 559004, 574380, 769222, 956953, 192014, 150717, 399198, 924077, 886388, 532740, 546977, 942924, 955925, 363426, 274489, 860879, 188561, 72658, 936298, 64758, 145775, 477860, 953018, 675173, 551786, 454959, 456745, 343646, 741029, 714358, 151002, 177872, 702115, 798315, 799173, 619357, 490883, 475348, 73718, 152569, 136089, 14212, 730875, 545715, 630174, 843822, 540085, 102799, 760132, 829661, 836656, 262, 595444, 148281, 712609, 311395, 908523, 507762, 398024, 857438, 368707, 857883, 592705, 239307, 749118, 683922, 750603, 712266, 717898, 5401, 441269, 407843, 737754, 580636, 313244, 476093, 968493, 762276, 873787, 634733, 371987, 329299, 873704, 691931, 822914, 498435, 580807, 925215, 717257, 306845, 452711, 725490, 466318, 449420, 48550, 81206, 539171, 283523, 962011, 502331, 746147, 89391, 511735, 266622, 759968, 911825, 538488, 989589, 259936, 210277, 119980, 853135, 869946, 710016, 131858, 881457, 786736, 767571, 531235, 914563, 534279, 584083, 641120, 103222, 140262, 865179, 161745, 504790, 218309, 684724, 827199, 307660, 531322, 410728, 413583, 131632, 289990, 839181, 205845, 714867, 536376, 274481, 25051, 527120, 686100, 630419, 186151, 684856, 491526, 20001, 496502, 685981, 360383, 598209, 909441, 681196, 692263, 146134, 672933, 111490, 571800, 448080, 185077, 763300, 866635, 309378, 537067, 785394, 581842, 667524, 956781, 564912, 97460, 342650, 907961, 172701, 777668, 445884, 647263, 111234, 555523, 837938, 4291, 583040, 951795, 792529, 293010, 411549, 320073, 515351, 554391, 802740, 62496, 10131, 210727, 814230, 828429, 467363, 305920, 689380, 866998, 860550, 373346, 795751, 245436, 489175, 492586, 20019, 958547, 633786, 744926, 171218, 326940, 782759, 327056, 10379, 359611, 95959, 405773, 76057, 983752, 884236, 419324, 312231, 248876, 361032, 893304, 230000, 663661, 600479, 234971, 506274, 465483, 9347, 327427, 907383, 957750, 828053, 116680, 171163, 2412, 74799, 20289, 577398, 246941, 985114, 229532, 933554, 366935, 982491, 337355, 712759, 469379, 900026, 208010, 185218, 683021, 460499, 537340, 429601, 601093, 297074, 525359, 500099, 302743, 478832, 658061, 574086, 967515, 92459, 980620, 258909, 697370, 779055, 111372, 524004, 965901, 611612, 459596, 504328, 455388, 728699, 254370, 724875, 976748, 577233, 651222, 780417, 132029, 388021, 226098, 720519, 67404, 655958, 615659, 625285, 790279, 546592, 413916, 48579, 954981, 241817, 312099, 613568, 16475, 390587, 137829, 739450, 351932, 923161, 465799, 725368, 838353, 348462, 100810, 473552, 960250, 89302, 101334, 295129, 562888, 768157, 494527, 321828, 723849, 808725, 861787, 591304, 896523, 367163, 330797, 463162, 230378, 852548, 502422, 185618, 960571, 194012, 653577, 335091, 154745, 21380, 861926, 23809, 908881, 139057, 892824, 76066, 274199, 203399, 662739, 707075, 926300, 727927, 397937, 231856, 806566, 518677, 888014, 606090, 920843, 533995, 217273, 770069, 938820, 44079, 573261, 315872, 625636, 194104, 473358, 465688, 365142, 63571, 546243, 919603, 462247, 417456, 988656, 707496, 694498, 742854, 472912, 268840, 58160, 329818, 440588, 965343, 691397, 808029, 731511, 979686, 780231, 61706, 736150, 869548, 621941, 918418, 951923, 745843, 628002, 860022, 764016, 96157, 930686, 399739, 755042, 420716, 148425, 919048, 568949, 303260, 65508, 892913, 230130, 714418, 863608, 390999, 221644, 861960, 759439, 797918, 519957, 25189, 876508, 720258, 953326, 276949, 981850, 914254, 413481, 90000, 669784, 897511, 154990, 64989, 165387, 752258, 628294, 9527, 712652, 985216, 244172, 513180, 807382, 486673, 445534, 266422, 527802, 566529, 285002, 581076, 774332, 945069, 389766, 751628, 545459, 199708, 877557, 262953, 971519, 835203, 572174, 149162, 368501, 660961, 819504, 664571, 366111, 171538, 426031, 807904, 208492, 45130, 924041, 245209, 602248, 806051, 576726, 624162, 429766, 821611, 490550, 817498, 235341, 48025, 742628, 843232, 38934, 485024, 805229, 515891, 233983, 673902, 934203, 695542, 539186, 245317, 861105, 130497, 305579, 437411, 576880, 657739, 643373, 982047, 194324, 598771, 106219, 774410, 455663, 102847, 195505, 315676, 43810, 44954, 626318, 544789, 199650, 830044, 9957, 623049, 853324, 290131, 745314, 753895, 689039, 120935, 428871, 537550, 596608, 987321, 660556, 685673, 275475, 459015, 451541, 256534, 7678, 528306, 28177, 586526, 843837, 531325, 625379, 359049, 902933, 260163, 684881, 151914, 851097, 943335, 116162, 410612, 461342, 779462, 720138, 756345, 719247, 270847, 441653, 163802, 421519, 732255, 923185, 561523, 610950, 872890, 582636, 341805, 215332, 550997, 222643, 959991, 910450, 461722, 847393, 960081, 230190, 576508, 186814, 869527, 883259, 449914, 177845, 852365, 446808, 948650, 775426, 113435, 538750, 727228, 639755, 407015, 778863, 369174, 783054, 399356, 127763, 180725, 950047, 733949, 56387, 359433, 254338, 624725, 311693, 821164, 701608, 872610, 829405, 439597, 59279, 540169, 399054, 435074, 38167, 804921, 901867, 585841, 52091, 160537, 42105, 342570, 244090, 75382, 474222, 416839, 752345, 158415, 224936, 96799, 141898, 780290, 519440, 439303, 109493, 645840, 12057, 97059, 706296, 423043, 958800, 423633, 106714, 5792, 64258, 63396, 645560, 128039, 939746, 726776, 306255, 202890, 503591, 376283, 509660, 627873, 29283, 705195, 121349, 967912, 204064, 446492, 558611, 396152, 387735, 866387, 297573, 91665, 1599, 407781, 278442, 380308, 400614, 426639, 819468, 816174, 427165, 795806, 480282, 46893, 429365, 666926, 883230, 13002, 551633, 607598, 308861, 472027, 669341, 252443, 971904, 84889, 661520, 686790, 725786, 708651, 933258, 888050, 263361, 467054, 212264, 58078, 594401, 673471, 952173, 479582, 418007, 501600, 884891, 809139, 636717, 386429, 354942, 824572, 773044, 413225, 642343, 446121, 289970, 922172, 824058, 250584, 913975, 292863, 393705, 222546, 923870, 892360, 676152, 579290, 550529, 384386, 730987, 176677, 300324, 770606, 485860, 359709, 965856, 140235, 287394, 8870, 671994, 2566, 150284, 516784, 608100, 102655, 169370, 772928, 402174, 180171, 345173, 20463, 587479, 24282, 598171, 295713, 179565, 137290, 800362, 328271, 107541, 770055, 276751, 437401, 96271, 581004, 520696, 108198, 788570, 244591, 862091, 154826, 144158, 984166, 845699, 889274, 456828, 549265, 639987, 281527, 164050, 537437, 479643, 957418, 607665, 784958, 578274, 835311, 799255, 280252, 982387, 223119, 899327, 640668, 293547, 984346, 575804, 61573, 538986, 677863, 592410, 985894, 624494, 243366, 933855, 723980, 690803, 799191, 456605, 427387, 621768, 119299, 523317, 927704, 513598, 957753, 487309, 641604, 10530, 681264, 78943, 718521, 415757, 954803, 632485, 840586, 166614, 447264, 795374, 482437, 626439, 741531, 805773, 982195 ]
990,044
[ 408615, 297286, 765986, 933056, 355446, 466197, 239756, 543618, 837150, 186664, 67992, 598102, 520637, 45619, 170772, 883523, 432692, 248656, 41622, 375400, 504515, 542998, 923402, 736436, 811435, 42719, 310174, 974372, 823764, 858744, 285387, 196697, 278769, 748667, 624017, 399203, 253053, 986854, 69673, 912183, 34869, 482516, 328097, 322670, 932244, 756545, 457583, 942310, 821811, 442295, 872961, 148690, 268364, 295299, 83747, 241942, 175638, 461321, 742707, 986689, 468173, 374454, 409508, 455612, 401733, 763122, 82744, 280567, 982557, 30795, 744449, 605241, 36373, 737680, 516748, 76856, 521396, 837130, 821398, 185841, 319917, 770820, 325102, 95968, 628251, 276792, 394526, 953628, 408448, 577066, 470092, 381234, 309990, 378055, 428589, 547126, 849955, 228724, 348529, 720318, 166514, 258305, 390831, 776237, 794980, 13521, 478032, 272687, 956705, 314027, 560157, 269971, 507282, 773290, 544120, 604536, 813861, 73276, 316069, 791856, 234443, 122831, 970556, 779546, 779851, 846540, 961980, 30047, 852058, 199637, 986878, 658034, 348010, 140839, 926468, 869205, 35030, 336898, 265345, 867361, 324130, 35856, 671005, 517208, 499124, 749802, 154959, 349019, 160932, 278057, 150231, 910321, 743476, 421983, 899721, 122780, 973360, 451682, 222298, 592534, 901194, 844366, 659721, 786270, 535042, 748005, 390182, 586727, 718108, 508068, 426650, 368694, 424725, 357465, 130037, 165101, 297170, 892152, 804003, 331765, 378439, 197170, 381694, 654528, 218174, 627617, 446695, 315433, 443352, 82227, 517912, 286161, 84608, 358865, 731662, 18218, 6190, 605080, 141709, 460097, 739733, 983339, 945433, 458529, 884907, 979493, 519100, 374318, 342270, 305513, 103283, 800559, 415024, 231357, 329694, 766459, 216641, 573459, 739662, 868750, 351048, 968987, 480276, 250266, 976559, 829729, 860471, 693057, 628784, 903776, 208644, 791512, 811308, 809245, 910891, 483717, 346270, 912864, 745945, 707498, 75669, 292768, 240569, 909780, 849945, 154174, 584300, 582358, 440960, 867019, 552993, 794853, 796281, 228044, 955491, 288112, 103769, 424436, 326060, 96415, 709370, 255463, 846951, 217215, 331323, 896930, 153683, 711491, 863700, 976343, 577534, 848643, 170477, 657031, 180019, 648913, 987474, 51060, 770571, 252973, 443496, 683571, 193579, 924960, 536937, 737157, 782087, 255310, 808935, 737245, 644215, 754216, 117623, 515462, 906848, 229469, 269227, 208663, 39351, 754900, 175950, 789642, 341683, 353207, 204692, 169740, 218326, 51135, 585308, 171020, 876255, 852519, 655824, 394122, 941240, 721243, 680943, 338240, 323243, 185597, 477706, 948259, 340720, 862853, 912178, 129928, 36060, 191427, 544896, 667633, 846912, 695344, 365345, 524563, 746850, 710984, 240939, 517437, 665593, 426778, 202257, 732042, 933130, 855317, 482210, 542688, 300607, 643668, 594429, 112889, 974057, 555916, 765205, 595254, 479647, 394320, 869830, 868551, 500884, 666466, 487030, 174319, 840028, 532702, 239227, 80570, 522320, 260960, 462948, 773295, 27143, 471929, 665291, 881154, 516557, 962335, 921889, 496087, 153420, 179861, 432679, 510529, 814236, 114970, 288780, 548433, 474820, 172275, 297278, 116440, 69475, 577430, 169042, 694359, 929549, 955098, 487864, 699327, 548780, 454912, 817373, 852222, 355240, 749458, 985463, 36058, 297057, 688462, 202589, 966215, 365738, 251187, 250892, 71298, 774716, 599345, 928264, 216599, 247473, 745797, 339609, 363763, 368613, 371666, 945120, 30244, 430060, 291085, 295956, 466971, 270606, 274876, 649285, 248800, 549780, 717045, 187813, 370733, 260944, 893077, 132109, 139651, 582261, 300711, 453250, 786083, 275527, 347262, 208397, 451343, 211808, 550099, 503154, 126965, 594868, 505587, 29005, 654901, 984235, 378424, 574156, 166911, 390435, 12385, 110676, 768265, 600379, 773646, 584232, 241964, 269576, 466658, 790846, 526040, 142586, 65405, 646025, 394797, 740555, 984226, 427855, 873037, 50084, 551535, 128478, 534037, 983699, 947408, 895262, 796823, 581721, 670969, 10493, 594521, 934995, 552368, 626643, 915811, 425716, 293253, 420553, 456004, 376387, 352972, 685365, 267062, 691354, 21985, 285128, 203398, 520114, 470947, 771549, 864097, 443440, 97002, 213841, 630167, 63267, 3758, 273957, 925741, 979563, 434418, 743731, 219847, 597777, 490636, 739365, 929883, 78246, 889343, 615713, 370986, 8676, 695418, 376060, 732016, 159417, 687887, 711046, 187783, 28527, 548648, 273739, 507412, 125172, 223950, 737037, 587062, 333657, 519999, 76477, 692968, 662433, 646931, 942, 4080, 819551, 665045, 469676, 915242, 165293, 141234, 881332, 399025, 733639, 238454, 647630, 412394, 752112, 596051, 60585, 375340, 787071, 240869, 135665, 305686, 966564, 711339, 414792, 189261, 418602, 856900, 692836, 421104, 328837, 840072, 167803, 611475, 472212, 487087, 841733, 367883, 469351, 951967, 351017, 64765, 242563, 536600, 197057, 311570, 18996, 720932, 569852, 784622, 437809, 109572, 640346, 131719, 204650, 507666, 77294, 501913, 371146, 894035, 453957, 522642, 331468, 177219, 355205, 913284, 84456, 864690, 257007, 284469, 796689, 13508, 724441, 787937, 237612, 689566, 837161, 681620, 218259, 578289, 928932, 509939, 619470, 3947, 714, 730372, 780478, 648946, 722522, 266239, 968095, 164752, 510884, 334435, 740827, 467687, 400043, 267155, 293262, 971505, 984429, 131272, 207301, 902023, 559988, 439038, 943285, 644757, 95335, 491345, 61438, 64236, 644463, 609559, 546163, 712374, 51355, 772249, 521269, 457288, 705363, 251365, 191220, 495569, 469661, 489202, 926450, 781008, 460204, 303496, 972795, 786301, 119055, 901377, 205966, 229935, 21642, 73716, 385264, 277400, 260218, 579130, 594074, 22306, 676585, 106836, 655669, 460489, 892743, 243265, 200556, 316725, 196076, 487447, 821371, 7841, 989889, 75429, 684685, 253145, 251857, 379328, 170278, 485518, 157529, 573720, 695855, 656968, 346391, 118432, 166183, 447583, 375658, 509018, 791124, 462717, 906577, 716386, 33631, 70308, 981561, 36825, 518343, 73933, 611554, 15567, 856668, 363100, 940665, 181030, 665666, 715732, 937850, 544291, 62272, 316349, 425249, 478702, 563848, 642301, 609881, 221317, 62228, 827525, 833496, 284229, 326418, 967890, 851435, 230619, 116568, 240160, 654732, 308354, 710099, 201023, 19936, 768055, 119038, 438896, 250260, 227522, 439947, 326363, 901585, 153741, 272309, 215272, 341382, 893684, 811430, 804280, 252484, 730665, 160689, 826697, 305433, 540819, 195769, 329083, 646467, 144055, 664671, 140631, 185839, 917279, 482184, 790538, 853334, 971758, 395211, 444988, 342705, 379419, 94568, 555026, 133828, 616896, 635835, 686061, 43150, 501062, 557986, 390262, 174834, 326474, 760965, 977461, 602521, 771626, 184342, 819819, 672162, 262356, 913407, 662072, 546295, 919503, 883176, 159738, 751581, 113376, 791499, 688686, 297549, 399430, 735044, 581940, 259319, 279735, 614984, 338790, 751133, 210143, 509459, 94369, 851841, 50931, 234260, 604334, 222152, 355596, 636716, 26218, 717180, 926907, 203568, 651489, 197938, 682435, 315270, 42236, 640599, 645380, 419829, 39863, 538503, 434746, 862740, 372092, 828985, 490763, 500822, 421222, 509630, 208589, 551554, 78744, 264120, 713376, 146580, 351162, 44418, 643220, 468835, 12880, 934277, 398705, 504385, 146397, 45186, 214464, 724932, 816429, 983570, 221239, 473419, 946429, 650818, 58176, 105033, 585122, 302373, 432316, 735212, 421615, 327114, 251483, 622445, 398627, 60271, 876044, 968141, 704228, 434813, 127929, 253062, 948299, 237235, 267357, 468233, 65528, 802144, 969226, 575743, 896128, 105579, 629116, 882523, 174736, 84091, 926232, 409322, 271820, 605386, 873598, 897406, 849456, 945199, 749268, 449411, 131633, 298592, 781784, 125167, 698388, 683369, 288097, 444134, 523862, 710731, 642753, 471760, 248463, 20406, 411828, 407320, 845676, 986389, 110628, 389774, 398828, 895323, 144354, 479440, 98292, 121998, 848954, 871016, 546891, 895610, 134206, 820276, 877519, 909877, 466167, 516788, 184149, 658948, 240928, 47925, 190629, 942773, 479378, 895193, 613837, 197732, 510296, 269398, 287303, 361655, 889940, 832911, 854449 ]
990,045
[ 988194, 877999, 534473, 213381, 802654, 143960, 831956, 669974, 603522, 867965, 849937, 302846, 51680, 282413, 742314, 429780, 617288, 231826, 806845, 312608, 346273, 209417, 562397, 741575, 844312, 217883, 828644, 854402, 549698, 686667, 297814, 4040, 230235, 830233, 317731, 930998, 379539, 670041, 575683, 722394, 627781, 788785, 175002, 149953, 798468, 217778, 862067, 703884, 153828, 742605, 492225, 163163, 359448, 707157, 373864, 490147, 781866, 496526, 824192, 959697, 286031, 41573, 519775, 375476, 764102, 686427, 725784, 221844, 869700, 462747, 660978, 430362, 2648, 483203, 257601, 816142, 589868, 170159, 804053, 869629, 249146, 628563, 12670, 715931, 206334, 351979, 771291, 549986, 827818, 846035, 852137, 773970, 231737, 374856, 824372, 213915, 110573, 829302, 439381, 381507, 18052, 848445, 210608, 234595, 603777, 789362, 90733, 70048, 802559, 798931, 607083, 185746, 849204, 753736, 821732, 871967, 836818, 773291, 417145, 46654, 611120, 388827, 4694, 678130, 811373, 541518, 514899, 356210, 33729, 885997, 837415, 909980, 375523, 829034, 79008, 149745, 475094, 871776, 634581, 492914, 280474, 117489, 564268, 884318, 970142, 754208, 197919, 104918, 837267, 180878, 463861, 27337, 131790, 102455, 536798, 631763, 719547, 837829, 543947, 471901, 880989, 688463, 833663, 672123, 491237, 615232, 615109, 144996, 742004, 211375, 274815, 674778, 109447, 347421, 782552, 858314, 846201, 862509, 31171, 614274, 831170, 471025, 953447, 147447, 696368, 759952, 984929, 815321, 947723, 748110, 579470, 484445, 143353, 611844, 785656, 34770, 129852, 240474, 22531, 506385, 961232, 604121, 303476, 638762, 105352, 514844, 681396, 741770, 541249, 201223, 274122, 33312, 611075, 224551, 737229, 12197, 876591, 257051, 609895, 775320, 432586, 475156, 143418, 187576, 378305, 289068, 509534, 531833, 592546, 982513, 200895, 459826, 809620, 930619, 460387, 536306, 575158, 773958, 275312, 245550, 508953, 585972, 825279, 905485, 514831, 248064, 61234, 749763, 988473, 483532, 368309, 644101, 486213, 764044, 179200, 901137, 457667, 63610, 274991, 306181, 530763, 340234, 164950, 25684, 327696, 942602, 360149, 853390, 634048, 666362, 432807, 613541, 609918, 950439, 318627, 321766, 804183, 720959, 747328, 267382, 144432, 898671, 932308, 108951, 41777, 430095, 680181, 105697, 707009, 304184, 224607, 449395, 34600, 728794, 84432, 300622, 936317, 729544, 853818, 458195, 323572, 459958, 279487, 306925, 690467, 752141, 941935, 505079, 459077, 625970, 747922, 637185, 264402, 30343, 95212, 336302, 379160, 450448, 249632, 7418, 605846, 890176, 80618, 462646, 732760, 180544, 852565, 340462, 533298, 168107, 979268, 228087, 640103, 241889, 187728, 33495, 749120, 495672, 676502, 576985, 313545, 726372, 18590, 135272, 783237, 514892, 512475, 119589, 511549, 560804, 803141, 634052, 890039, 593515, 793073, 211341, 306237, 906212, 727122, 506709, 675282, 987608, 482023, 104161, 37528, 963188, 713864, 447227, 178239, 522619, 594437, 256414, 124843, 586961, 8063, 777634, 348100, 281874, 277813, 248673, 438084, 232834, 615249, 22229, 633792, 374724, 678069, 623094, 834887, 104727, 414971, 681934, 604664, 208174, 352204, 590670, 87428, 494487, 808143, 273413, 582355, 701820, 99443, 564446, 753318, 840017, 139604, 416638, 709730, 847211, 131778, 326806, 643164, 895830, 690012, 892204, 379950, 716739, 593987, 328886, 902758, 520470, 159576, 568359, 219336, 414449, 392412, 623292, 529480, 374636, 473448, 751390, 448774, 479155, 471484, 612138, 599216, 900105, 344057, 595294, 971819, 726438, 196471, 648236, 56682, 611880, 737304, 733264, 350633, 687004, 272628, 703798, 192962, 52603, 660868, 745836, 797072, 892806, 278911, 736475, 384814, 925445, 952009, 702772, 165958, 187074, 450830, 139276, 450144, 534226, 341765, 329457, 766178, 386793, 821223, 97572, 163061, 481405, 536360, 700436, 900339, 394373, 924176, 520009, 884514, 714120, 84321, 88543, 797313, 77503, 822328, 67551, 440869, 21650, 612883, 278659, 378659, 809822, 887469, 748707, 430033, 53511, 226406, 107247, 824006, 939485, 47434, 373437, 701447, 796454, 979075, 72398, 419038, 465263, 852509, 98561, 597859, 178990, 861612, 969413, 585368, 473307, 694241, 925100, 407828, 117885, 222936, 149869, 287250, 771763, 137075, 90495, 552299, 911077, 406098, 507832, 477465, 151987, 18774, 201588, 664405, 326283, 827257, 439317, 465281, 246574, 896680, 710693, 713178, 492357, 199274, 37100, 956202, 457493, 820405, 653232, 833027, 23690, 947821, 80289, 222669, 891882, 444477, 434744, 467074, 121381, 745308, 337232, 552133, 913958, 482298, 717293, 322530, 891001, 934368, 1489, 768684, 898003, 587177, 893506, 333010, 691682, 501350, 532786, 252479, 738493, 808518, 859348, 693831, 844151, 543176, 526251, 116712, 656032, 373647, 732429, 145149, 157434, 300586, 806995, 857914, 770746, 265428, 667138, 624861, 83194, 400578, 315349, 447178, 754546, 262099, 277848, 544164, 5912, 835343, 253825, 151254, 893120, 173342, 347967, 260509, 775146, 876646, 188732, 464300, 362925, 550084, 60929, 941532, 111273, 790634, 765093, 29104, 878218, 297392, 465490, 430740, 735111, 372628, 578874, 744140, 155724, 705343, 517880, 550730, 576667, 525891, 676185, 409166, 273722, 915406, 122119, 6959, 727584, 603039, 746639, 815117, 421853, 784956, 760604, 246207, 330105, 640002, 495477, 666607, 459892, 430955, 587508, 805904, 610927, 911994, 199688, 95859, 596422, 755159, 790774, 41232, 566156, 416370, 90155, 192422, 198458, 965291, 518572, 148510, 72798, 627270, 66049, 287402, 800978, 596162, 220062, 424941, 538985, 401243, 851036, 372311, 804167, 972801, 9271, 485867, 631186, 696953, 519241, 776810, 260528, 964449, 796753, 290052, 951650, 78137, 366915, 133598, 253706, 353449, 679368, 603567, 831688, 511190, 588409, 10043, 948046, 391197, 828858, 855041, 505896, 653920, 435464, 182791, 142991, 464579, 322454, 524709, 17759, 325489, 430792, 852093, 356425, 376700, 109275, 18305, 637336, 965859, 240958, 569101, 436106, 728237, 576635, 407885, 673883, 51092, 444777, 285435, 526587, 947495, 526324, 492928, 370580, 497909, 489263, 652250, 299259, 279607, 781948, 823818, 898415, 865796, 987707, 898731, 602735, 906271, 527448, 413482, 41662, 257794, 795798, 149807, 817744, 675922, 628741, 24538, 418443, 757372, 591946, 148788, 232693, 214681, 164187, 268435, 915130, 316099, 270796, 827527, 601228, 100859, 452869, 251485, 780933, 41124, 55727, 756509, 213521, 644903, 805263, 357122, 232303, 43166, 33114, 307091, 41850, 238979, 610534, 838867, 206146, 713001, 449938, 588904, 136001, 891872, 553553, 349352, 379496, 155557, 784806, 934075, 29687, 442453, 892047, 671405, 512802, 648808, 850522, 439449, 639222, 617759, 457857, 193212, 474824, 136172, 700524, 588502, 633910, 62298, 249044, 380474, 740479, 530572, 919010, 491115, 547434, 217147, 662030, 696443, 921963, 926258, 691696, 527025, 744333, 99423, 973097, 925569, 598353, 442294, 760018, 429129, 408947, 947479, 281261, 619489, 188716, 894334, 826315, 343147, 225132, 148640, 874422, 802236, 666202, 230708, 196105, 544865, 360888, 313353, 231166, 907527, 811820, 153341, 929771, 977048, 755226, 158744, 934433, 283896, 884860, 41895, 715068, 981540, 156798, 656202, 793953, 23806, 967270, 929055, 751760, 742677, 869390, 960854, 881704, 662035, 670750, 924620, 500788, 734576, 204494, 159998, 76191, 898970, 34566, 822755, 125582, 251454, 909346, 466087, 234400, 769331, 100658, 844783, 420059, 366026, 21544, 626151, 843791, 234928, 178810, 423397, 140415, 450839, 479826, 783514, 810051, 91674, 447488, 20644, 465491, 771345, 332562, 938465, 753226, 295232, 918215, 913075, 790196, 657030, 756296, 446458, 315354, 448343, 476235, 873427, 697418, 619237, 502327, 810682, 61121, 400053, 97713, 632738, 584245, 654724, 331038, 397451, 538718, 504452, 713739, 874568, 760794, 743215, 863142, 436823, 386724, 51638, 887834, 244351, 476630, 234156, 821809, 863769, 204130, 871540, 828823, 663246, 898129, 630642, 335892, 58156, 128274, 433748, 295302, 65603, 233375 ]
990,046
[ 454503, 196116, 334597, 116223, 484868, 260186, 802560, 30608, 879438, 931064, 196095, 67222, 552884, 311674, 950341, 801024, 44022, 221780, 695483, 234195, 5979, 622801, 370924, 976406, 87124, 186928, 129985, 773165, 803410, 559392, 75123, 219880, 343695, 457087, 890408, 7150, 139690, 77902, 775327, 83281, 735080, 492453, 256084, 745801, 608174, 234521, 565489, 282758, 642338, 772442, 535027, 674790, 664925, 171714, 595191, 748692, 2007, 105859, 412987, 737464, 499439, 202913, 475633, 443853, 934637, 761102, 858625, 951568, 225627, 640932, 498119, 321760, 411931, 570778, 765404, 842620, 893948, 938367, 784426, 558350, 603250, 776622, 274903, 939796, 451867, 422089, 259043, 272137, 726663, 48459, 24212, 551608, 974991, 149655, 393285, 331217, 939639, 748135, 759550, 152146, 407624, 812635, 82460, 894719, 454794, 452441, 66752, 967290, 59011, 314642, 49984, 325712, 28951, 455760, 361550, 983550, 247931, 622821, 889008, 35980, 843984, 968317, 221478, 746153, 661315, 592564, 630614, 617946, 689890, 858788, 882664, 928727, 114498, 770301, 258106, 105515, 371832, 45451, 206184, 272800, 278419, 461936, 470029, 273899, 910667, 913431, 776536, 262249, 803898, 551397, 721084, 300539, 139586, 621950, 579850, 23196, 976775, 729074, 725323, 349404, 261723, 119128, 746351, 869643, 613051, 402649, 536069, 405367, 157688, 286592, 821651, 363281, 981208, 207581, 620348, 633900, 858618, 514466, 959300, 335602, 742467, 869140, 247472, 826468, 59140, 375846, 144048, 195159, 789153, 268479, 893340, 201708, 617123, 458897, 289978, 308569, 473176, 881545, 24472, 394192, 515423, 75336, 20418, 418786, 825483, 745302, 704476, 200593, 45759, 222181, 2186, 498159, 166597, 92045, 537825, 870159, 226785, 553212, 112585, 453780, 191859, 345311, 618613, 259471, 727615, 129596, 912851, 975733, 745596, 211364, 905253, 867837, 864229, 698721, 974107, 300540, 942186, 848204, 68598, 533054, 891780, 672055, 110850, 202156, 200830, 410832, 158864, 844851, 727461, 520331, 377643, 414846, 875150, 947874, 127386, 961999, 312313, 146783, 239126, 897680, 832806, 89021, 200325, 395412, 69128, 279116, 751817, 775415, 103048, 134017, 356352, 317737, 42918, 57623, 630884, 936338, 613723, 206638, 918880, 551757, 720357, 368682, 362178, 831887, 440223, 464417, 509593, 576739, 959815, 59083, 531584, 386997, 96719, 867884, 22286, 247615, 562934, 630702, 63359, 710441, 467921, 310618, 130757, 485499, 539938, 708519, 609804, 144866, 703592, 430886, 254932, 483169, 537086, 28210, 282873, 766148, 533669, 961041, 66137, 867356, 464518, 343075, 143842, 549193, 765365, 520015, 242364, 541368, 780181, 182578, 475228, 431323, 325063, 854770, 457554, 190461, 666146, 600267, 640900, 482364, 672437, 245177, 268496, 449728, 717607, 431039, 48731, 380632, 866469, 125196, 172724, 645814, 911570, 189557, 91581, 907063, 567147, 406926, 810987, 456362, 509057, 893267, 414512, 441618, 853549, 929881, 299761, 252682, 150398, 422284, 149131, 425802, 411079, 25423, 437412, 609757, 735855, 805811, 940587, 416708, 68391, 759121, 968264, 915387, 21446, 255847, 327327, 339482, 465129, 309256, 812117, 412132, 127725, 575221, 680486, 269530, 703202, 151318, 173240, 792504, 112153, 392281, 659263, 141116, 640797, 794252, 860751, 954712, 354466, 891597, 704940, 583274, 355, 981180, 503298, 570817, 24286, 463628, 106515, 336706, 33777, 117675, 833870, 254945, 821858, 770030, 957242, 104011, 988155, 646257, 450752, 468975, 75476, 884799, 403547, 184262, 878190, 983503, 133559, 114680, 266766, 419467, 797432, 530471, 13675, 205821, 453826, 782977, 764513, 680724, 493465, 497565, 277768, 132230, 408281, 819629, 837424, 873356, 905447, 447460, 914180, 348093, 251163, 38794, 930124, 172950, 557456, 185745, 422793, 661677, 480558, 514069, 742294, 853188, 663740, 744055, 675939, 978134, 800376, 181837, 965087, 293872, 26732, 735393, 243525, 551499, 847462, 156016, 646646, 919030, 201121, 102855, 763359, 521643, 706166, 492406, 658265, 956650, 885212, 221293, 408764, 93744, 770581, 702074, 884898, 479046, 156611, 880465, 318594, 407987, 100105, 586720, 88651, 680369, 977397, 322576, 332352, 159298, 812398, 595048, 304222, 233294, 442193, 888661, 583624, 1314, 932971, 656031, 462958, 183588, 433379, 383096, 750937, 849275, 180612, 633420, 524153, 814432, 806423, 293325, 248035, 968547, 794750, 14280, 4309, 912686, 964704, 463142, 653727, 123075, 770885, 214200, 433266, 571161, 521889, 226631, 461611, 782824, 289644, 594523, 310091, 33097, 139540, 146702, 221655, 598489, 919090, 979815, 922168, 379590, 137222, 313507, 134769, 194771, 965050, 514273, 587903, 891209, 564927, 124852, 439311, 414987, 551151, 667022, 95721, 275122, 680146, 254059, 724769, 454426, 193137, 485381, 923489, 16062, 192007, 615407, 85198, 918195, 442080, 129421, 562125, 504381, 311848, 198094, 261890, 750874, 844714, 111218, 380379, 681042, 599851, 358788, 371667, 113441, 523451, 604849, 509964, 940047, 576463, 388321, 640975, 738911, 624258, 272661, 667077, 326062, 754559, 900146, 705720, 907984, 898746, 791352, 657374, 922108, 397676, 362682, 875237, 278416, 10221, 106003, 618848, 810699, 10501, 553344, 575023, 340104, 273251, 332873, 463079, 395630, 64107, 126904, 662105, 226727, 258158, 460917, 46377, 121519, 255963, 22768, 577152, 981636, 420272, 376986, 743737, 67302, 440635, 535991, 819132, 217212, 258110, 900655, 448383, 649185, 490186, 331367, 896324, 672173, 123268, 850545, 329050, 774383, 482900, 789693, 984372, 985866, 532190, 815365, 377540, 269853, 455746, 928463, 63819, 674695, 440203, 710778, 868332, 324250, 79201, 432297, 256332, 116397, 902244, 902830, 389014, 53381, 632947, 335530, 630155, 499311, 764244, 911716, 298773, 921687, 963660, 111015, 448919, 276161, 370314, 145435, 7554, 62472, 659962, 269972, 899742, 287579, 630812, 952641, 535598, 484662, 934011, 791022, 59320, 912805, 409006, 204532, 142516, 507750, 548740, 177828, 512477, 835078, 552405, 337329, 453646, 357467, 605444, 485974, 667015, 515633, 581207, 360815, 342987, 798193, 113912, 944788, 681757, 915886, 730334, 500464, 440605, 394459, 882295, 701508, 555040, 201171, 628015, 785457, 855291, 821867, 207807, 184119, 291472, 618995, 243466, 537060, 77110, 911310, 941365, 611247, 730993, 582647, 329030, 308280, 637178, 51345, 523767, 112438, 112584, 595011, 271468, 727048, 551878, 538860, 932084, 930010, 661784, 722695, 742987, 184187, 86079, 629829, 564322, 583898, 546361, 186666, 645230, 578645, 141766, 567125, 157611, 655409, 322256, 313060, 357569, 193043, 821758, 869033, 447805, 427979, 769131, 879887, 771934, 1466, 477533, 502500, 102994, 927089, 131254, 822564, 169198, 287194, 94482, 679145, 219734, 606948, 932059, 429673, 203432, 791255, 158299, 773246, 891216, 425599, 884580, 214738, 465476, 823396, 521529, 403964, 373089, 71116, 105210, 929538, 291505, 926513, 543686, 606458, 579705, 440751, 497117, 284337, 249053, 746469, 366266, 805098, 208109, 39974, 765821, 542055, 557345, 256634, 753624, 597014, 694277, 80837, 457516, 884989, 172265, 258738, 44080, 800336, 924390, 176987, 91802, 324315, 785094, 320523, 745477, 292407, 25211, 684396, 919233, 496374, 838321, 359373, 908134, 610956, 8060, 394427, 827030, 600837, 718824, 280653, 655727, 611734, 38877, 946927, 429981, 107029, 561550, 335210, 46066, 259793, 930860, 891743, 28040, 533029, 889550, 876324, 567430, 431862, 129016, 439753, 452581, 339190, 831620, 245456, 78292, 778464, 817599, 161741, 879285, 2791, 381046, 515003, 704492, 409, 857565, 981381, 302952, 450015, 754580, 593609, 87776, 757661, 131369, 25260, 256580, 70032, 422405, 392703, 93895, 71080, 982610, 931832, 701461, 716277, 323307, 506868, 385179, 284696, 23750, 816104, 501475, 507770, 425177, 94400, 385350, 836285, 521642, 982316, 242275, 458640, 547288, 981518, 821013, 560811, 296321, 284202, 722130, 306039, 568436, 763733, 980332, 515398, 502512, 726381, 799720, 556448, 235813, 130947, 717270, 550248, 207857, 483761, 854245, 191436, 71220, 708692 ]
990,047
[ 492697, 508301, 208928, 89683, 256118, 254895, 523062, 464309, 830601, 738914, 972602, 619094, 871048, 221415, 97654, 541621, 722929, 814663, 181513, 686024, 469255, 721001, 354831, 282646, 69959, 683864, 901022, 120025, 508725, 411469, 375392, 758746, 978185, 710069, 347689, 637277, 207425, 78197, 81559, 468313, 969592, 331056, 830872, 738400, 800761, 361811, 914086, 221800, 108440, 775755, 162906, 632783, 199397, 527348, 541454, 870527, 970912, 36077, 593982, 590083, 172685, 383455, 616533, 11804, 697921, 824395, 404798, 105168, 220516, 780284, 397135, 125628, 33782, 246880, 643093, 180081, 424236, 798973, 545117, 202524, 312991, 627996, 157122, 38091, 157060, 639486, 87713, 405176, 33563, 91821, 451678, 542243, 306240, 909626, 635942, 187580, 903341, 879693, 627029, 906080, 646348, 419637, 623509, 820387, 625038, 475771, 763821, 430518, 368879, 838129, 113419, 67238, 939200, 604704, 473666, 340605, 138699, 406496, 359293, 842072, 443510, 356901, 447418, 469238, 253375, 23093, 582989, 636460, 980977, 294669, 667275, 109230, 777327, 482771, 567491, 455233, 602472, 73197, 477929, 63826, 63252, 697060, 235361, 567589, 1035, 893963, 255421, 487588, 34741, 50371, 623954, 252710, 485416, 274045, 101844, 649693, 409059, 684652, 971637, 976431, 747872, 149495, 295738, 324920, 919729, 441448, 147323, 356339, 146030, 334769, 761047, 561075, 244503, 107612, 375312, 396674, 365192, 952589, 102685, 818008, 713215, 890921, 40303, 846547, 666976, 875051, 832862, 424044, 692472, 436005, 944594, 172718, 610160, 752364, 372454, 953260, 559688, 913563, 699492, 757718, 583581, 569439, 632113, 896406, 818952, 80450, 107402, 263873, 754042, 812386, 709275, 319798, 549365, 521478, 884319, 177265, 117542, 398965, 878136, 26779, 710572, 872012, 159595, 702239, 41914, 537942, 453130, 653145, 947620, 488541, 467250, 404750, 27915, 260369, 173050, 631681, 579144, 243136, 222782, 137824, 453170, 379159, 317105, 707328, 920061, 871275, 626276, 436411, 543077, 548381, 258041, 833410, 576273, 905543, 917358, 802985, 634432, 189498, 435469, 542931, 333303, 909490, 511996, 630146, 134578, 187251, 607301, 335189, 18126, 82364, 110863, 855021, 190916, 985912, 41305, 670212, 472855, 348278, 93189, 587271, 874203, 455296, 5653, 82792, 145590, 350628, 28297, 389212, 713289, 517170, 805774, 401520, 886647, 36277, 713050, 11604, 194928, 730969, 13196, 930988, 708007, 462056, 129903, 333084, 239343, 495193, 925641, 523732, 156047, 103553, 226536, 200590, 126174, 158110, 454444, 361674, 131139, 973037, 565851, 289709, 192051, 249663, 564291, 825093, 189914, 883496, 405772, 669798, 912196, 785923, 156617, 243079, 333306, 853037, 154920, 115670, 635165, 473227, 272301, 588816, 106835, 614691, 507755, 570549, 396811, 327883, 270861, 465152, 293375, 67473, 845540, 95507, 529523, 696504, 733820, 124761, 340931, 681630, 367007, 479672, 279300, 384324, 422341, 756227, 687992, 286320, 674047, 663864, 260575, 48302, 97636, 210066, 117775, 819141, 276334, 406098, 832824, 840378, 637959, 368739, 530149, 871772, 97207, 288912, 90896, 625052, 258614, 330282, 612718, 497535, 284339, 220476, 826371, 270747, 889208, 9233, 962860, 924956, 844518, 701981, 841173, 211697, 643325, 81554, 771082, 404269, 613290, 312902, 719597, 469469, 225474, 492354, 77406, 207675, 826539, 267043, 474042, 829101, 273112, 293407, 731130, 811780, 959528, 521059, 628834, 242403, 224635, 88103, 329171, 427409, 277851, 645537, 264188, 86493, 815492, 398654, 223769, 428122, 926265, 172360, 618626, 521744, 443801, 720628, 366198, 156795, 769297, 780529, 121712, 740585, 50868, 697039, 502203, 306151, 601166, 831658, 19115, 857697, 924576, 408479, 300411, 861312, 936151, 403697, 971682, 932257, 901527, 46717, 175648, 855693, 193842, 179674, 788976, 444072, 383597, 422552, 761175, 157948, 668583, 368469, 34155, 343100, 648691, 227873, 159111, 113064, 175740, 488373, 291745, 225575, 809808, 606460, 778614, 344571, 523561, 371136, 897752, 656019, 912440, 629067, 361334, 729033, 499765, 366710, 905961, 510439, 406845, 634127, 338762, 584117, 260408, 20136, 238960, 443740, 579878, 640073, 891709, 612738, 554922, 671207, 811212, 80988, 330953, 59835, 408267, 267365, 964449, 988093, 729657, 743790, 431728, 376749, 797211, 903313, 621380, 41448, 97116, 239518, 647370, 696426, 451819, 912050, 255873, 55872, 406138, 329206, 546581, 475779, 219556, 314070, 388228, 872569, 161203, 942998, 958848, 589562, 110785, 335889, 983038, 707612, 366630, 556113, 505320, 369001, 134757, 53404, 975672, 389543, 560642, 153374, 161169, 576209, 452061, 465336, 520255, 527669, 219702, 915048, 475721, 110592, 783442, 744117, 358567, 646030, 457826, 894834, 614595, 184184, 939883, 422646, 972756, 846754, 641273, 350035, 380421, 479912, 417864, 693653, 528355, 70336, 376608, 264748, 205786, 670748, 971385, 540250, 759898, 734521, 17008, 814243, 381752, 541536, 477660, 823116, 645766, 552117, 370687, 395885, 849554, 404245, 272018, 952227, 822850, 405178, 926009, 189376, 109480, 51933, 716274, 13912, 169905, 399891, 572068, 902450, 868520, 204302, 371783, 568056, 976291, 21948, 168012, 757338, 124245, 392702, 48746, 544181, 714520, 724505, 801681, 752574, 43294, 759831, 37761, 533833, 145592, 868811, 742770, 706621, 449375, 611978, 594373, 268804, 490011, 466546, 384317, 247991, 218076, 713355, 691010, 736410, 274179, 10415, 135259, 951225, 851854, 772493, 416632, 97515, 480234, 799254, 484961, 74728, 284924, 485870, 318769, 969397, 729217, 717250, 169183, 957996, 735884, 225475, 566474, 931742, 546305, 493746, 937003, 192909, 676820, 188467, 147548, 780418, 653000, 878536, 634739, 21306, 384052, 502170, 615491, 930411, 626563, 585525, 5991, 52977, 123627, 170454, 903840, 7639, 553734, 2952, 438046, 397391, 413152, 695599, 343544, 184088, 170331, 1123, 106695, 257174, 760143, 176469, 460703, 696532, 808679, 936575, 246753, 934001, 138555, 488362, 196988, 641780, 966096, 482526, 550444, 523657, 595156, 844225, 855112, 711402, 45295, 919987, 714462, 574949, 612630, 562811, 417388, 645506, 200495, 18506, 155225, 707212, 400432, 243244, 361846, 625850, 203358, 545971, 933526, 774496, 984693, 169508, 592847, 480116, 765739, 146705, 770185, 365927, 667454, 527633, 261683, 221379, 242085, 550926, 657121, 734023, 388019, 83691, 40750, 434995, 78602, 791115, 662238, 988271, 307277, 905483, 963491, 308284, 380690, 435857, 772040, 439236, 649545, 376312, 448253, 870015, 867769, 931287, 49028, 958189, 533946, 763835, 804145, 296212, 11433, 313249, 797240, 139022, 986210, 811488, 343373, 973501, 958692, 753479, 624941, 938029, 894320, 355265, 368194, 212346, 34092, 254295, 342245, 455784, 761581, 813902, 179567, 489381, 249527, 150905, 473836, 296054, 456560, 104164, 111279, 108833, 824240, 917585, 505621, 599575, 204961, 183688, 733724, 474091, 598505, 592956, 808795, 207737, 943852, 825904, 345775, 379162, 348593, 286327, 431444, 386656, 829290, 955538, 857639, 448608, 178066, 98749, 558573, 920279, 47057, 578832, 367197, 989908, 156441, 854135, 190096, 517471, 535435, 540516, 391814, 420882, 325621, 886502, 195915, 369664, 803989, 38610, 684558, 626556, 136933, 675625, 210130, 702158, 312801, 881170, 182529, 163704, 72259, 101713, 58609, 15879, 492643, 709900, 455721, 748942, 397863, 199821, 883745, 521908, 712938, 948104, 326725, 675287, 364548, 496009, 698604, 220565, 260605, 228493, 196438, 767786, 920822, 369155, 557126, 202645, 683532, 517098, 434214, 502878, 158039, 903818, 422117, 226934, 591961, 676188, 653482, 4887, 737674, 888950, 485237, 187124, 163219, 229890, 829609, 110212, 700732, 851253, 32310, 26323, 460336, 377004, 315800, 239972, 794563, 426248, 408606, 893717, 248839, 471318, 944915, 617185, 731369, 578288, 767298, 730393, 769173, 870336, 238059, 747347, 669230, 681216, 929636, 919736, 887798, 261836, 917063, 122616, 674616, 272106, 931569, 931591, 74110, 827001, 943581, 93305, 777355, 654902, 413829, 24440, 928775, 789358, 432884, 676756, 242244, 215440 ]
990,048
[ 941676, 170344, 186294, 976874, 452749, 61807, 615410, 332835, 26340, 277895, 28168, 322790, 224850, 599036, 759166, 46571, 454254, 831838, 934727, 907847, 775309, 564011, 905210, 738669, 6093, 577810, 304325, 562866, 466260, 647711, 912676, 857592, 603406, 803332, 711569, 639669, 672512, 204006, 945347, 508187, 614559, 747873, 382213, 317657, 408793, 718325, 476363, 276779, 115134, 740350, 614460, 537823, 157202, 841370, 846587, 693790, 805220, 629559, 306412, 702428, 137735, 551042, 296035, 588869, 915090, 334029, 519215, 490194, 509386, 471100, 752221, 558568, 923629, 720990, 687088, 376062, 925377, 487365, 331294, 145932, 297276, 201911, 123630, 114712, 901799, 25206, 265617, 268951, 627574, 282093, 861750, 368513, 594475, 939661, 158226, 118027, 378080, 4527, 674566, 307092, 595833, 617435, 155610, 123838, 491330, 203176, 60972, 786805, 81422, 929050, 344129, 794189, 793251, 844203, 831992, 740654, 155621, 291408, 689969, 217006, 775910, 34732, 45519, 798883, 195214, 440160, 119799, 552528, 558368, 180646, 731392, 810379, 99396, 64001, 744454, 660795, 207897, 160542, 631925, 551923, 430260, 243113, 773909, 814566, 69166, 536972, 534598, 970330, 831559, 784507, 679256, 570936, 178729, 987504, 105856, 694098, 268448, 258039, 382479, 868003, 308552, 541290, 720937, 943487, 584179, 165550, 108534, 952564, 258774, 867468, 867874, 249615, 228057, 540219, 773551, 606783, 82779, 854831, 888647, 787906, 622167, 160272, 7304, 489604, 686970, 138706, 838614, 289569, 771416, 178482, 66397, 546668, 197567, 957409, 442289, 705320, 469834, 441587, 83262, 734193, 150113, 421715, 344892, 78577, 163841, 682935, 62118, 499848, 209316, 364247, 295538, 380423, 432073, 54293, 753676, 795513, 739815, 25871, 568695, 270725, 678686, 551450, 735151, 683778, 701455, 914608, 236067, 977195, 33445, 924884, 532444, 218143, 155503, 353407, 690830, 123312, 368813, 934137, 869076, 443897, 694283, 889946, 37560, 158050, 66042, 691275, 962389, 509269, 782690, 1913, 976364, 26947, 733169, 985873, 822083, 447400, 984111, 513565, 162811, 811856, 580073, 942328, 386733, 369090, 322664, 4403, 177, 556057, 180598, 545114, 502539, 737702, 316250, 190439, 256909, 360271, 19362, 121864, 592065, 730650, 267599, 152038, 680681, 957492, 224831, 174626, 74583, 722597, 222627, 135612, 622457, 144512, 364450, 560941, 420116, 355851, 412712, 367323, 23369, 944508, 322693, 616929, 685883, 953592, 647363, 413820, 917253, 268978, 834582, 649412, 909680, 168104, 767958, 759959, 648659, 947979, 866202, 967863, 809913, 824931, 15944, 655849, 431735, 655489, 217816, 566865, 811970, 314135, 515347, 196238, 397229, 113795, 594910, 452249, 37407, 969883, 782640, 743336, 623195, 803711, 649883, 815367, 445157, 693152, 978206, 553070, 701286, 815681, 327061, 407668, 215667, 663621, 870406, 457775, 589689, 513281, 141351, 552289, 287018, 846891, 327913, 96851, 685362, 309491, 780349, 294513, 551529, 157125, 499058, 443008, 3612, 3549, 539442, 321009, 807734, 317415, 777906, 151283, 4879, 680330, 386176, 482194, 123920, 776540, 24103, 49985, 279661, 907107, 640663, 357561, 651540, 450562, 31670, 25609, 176144, 909015, 566919, 489767, 592387, 56436, 643882, 238083, 727062, 531854, 669444, 856061, 764014, 756270, 192259, 605267, 469813, 459524, 808386, 81520, 224993, 189853, 952592, 772390, 154374, 894249, 654812, 557618, 375754, 600885, 958083, 143008, 54864, 936611, 984341, 488707, 771076, 341533, 861481, 640108, 645444, 823150, 697389, 983771, 592311, 947867, 457039, 103941, 724998, 281025, 466199, 435902, 313922, 145284, 427373, 888852, 945604, 924225, 157145, 277275, 643866, 654965, 4416, 915792, 720888, 970307, 371700, 5865, 967150, 139205, 328665, 866800, 881004, 33931, 447216, 56159, 547162, 688778, 178036, 446055, 131299, 689278, 485618, 677061, 739452, 387490, 464726, 472309, 694118, 815831, 633104, 771844, 866023, 129444, 169883, 288804, 115011, 728648, 556518, 20734, 589681, 218432, 721214, 535586, 806542, 564371, 54810, 318727, 776484, 904993, 393813, 644523, 907807, 859400, 569348, 633510, 56857, 481130, 794777, 834823, 484456, 830485, 424609, 532350, 688078, 854666, 879322, 696579, 763852, 243311, 92515, 427062, 57799, 374976, 89073, 71581, 563241, 967372, 905686, 557056, 169820, 745130, 916432, 283770, 927117, 933709, 871672, 440353, 436551, 638527, 729454, 827569, 585175, 586622, 526872, 395232, 780499, 923424, 232176, 466458, 9839, 75, 456198, 231388, 303501, 195848, 213279, 515053, 152556, 193178, 23175, 197879, 102382, 340091, 124512, 570538, 641935, 744414, 716759, 452858, 721313, 836435, 845073, 859224, 412621, 54098, 551843, 125106, 493161, 530729, 399467, 241297, 589084, 540140, 806902, 725799, 103295, 865255, 185006, 770813, 530379, 422808, 498213, 561375, 415350, 815826, 375108, 300139, 214301, 557663, 206117, 812363, 472302, 898325, 875525, 249708, 607325, 604743, 379838, 732993, 412521, 796668, 843807, 895145, 255985, 911548, 595992, 76977, 488177, 870899, 291673, 507840, 694215, 209009, 462615, 849489, 702326, 807060, 486589, 496128, 99015, 407499, 716349, 668129, 962298, 341925, 266053, 919540, 650274, 506700, 884702, 814584, 365152, 923171, 981037, 806297, 475638, 355773, 633442, 669646, 300447, 419876, 474277, 708574, 79806, 3461, 553936, 857955, 80730, 768543, 367354, 635724, 566938, 184752, 147454, 71451, 642681, 662481, 156657, 465210, 461046, 642152, 676479, 377327, 325725, 352369, 574566, 207443, 594729, 285917, 841681, 968956, 287066, 405412, 464798, 768475, 542119, 746270, 817069, 318899, 766659, 901640, 319662, 811369, 954178, 977271, 9374, 932922, 935670, 811943, 12428, 487901, 432448, 208123, 957424, 589242, 730745, 521624, 654307, 108261, 434213, 738622, 661363, 220453, 496445, 240385, 271343, 417453, 53060, 522381, 174984, 442214, 248440, 492318, 596735, 464833, 842808, 976288, 157252, 221868, 908209, 799751, 699024, 762552, 153214, 315223, 337928, 742992, 374183, 868959, 987035, 312875, 519697, 691670, 907276, 97234, 947037, 784212, 924900, 628254, 617807, 456053, 887055, 894400, 800512, 746316, 761038, 768829, 96709, 552197, 304944, 157957, 758648, 248693, 510196, 658600, 286639, 652875, 667745, 489924, 303055, 254799, 553499, 913354, 791558, 857954, 495979, 627810, 381716, 835049, 333343, 268740, 706400, 302619, 451455, 889740, 348485, 243349, 882529, 948135, 897572, 836915, 505788, 524356, 324795, 150907, 471671, 541530, 150280, 825309, 414994, 574696, 893134, 338077, 808985, 302065, 926051, 549475, 754561, 851057, 8185, 826312, 941782, 859097, 33316, 262277, 251806, 825535, 230792, 429846, 476891, 665044, 421237, 914484, 692426, 166972, 669594, 525624, 283493, 35877, 447321, 371676, 809237, 270344, 100344, 421167, 19197, 184623, 953244, 205899, 48545, 544810, 989401, 393899, 928624, 870265, 418316, 153738, 201950, 671450, 500459, 196839, 773227, 668290, 248260, 637950, 102555, 814475, 537328, 706576, 150087, 106322, 305595, 293573, 862246, 338807, 676940, 150749, 614031, 483785, 572535, 849526, 631046, 390688, 68237, 323924, 944699, 437962, 251448, 93736, 628470, 225033, 968233, 436700, 542317, 805303, 487363, 721609, 716010, 419154, 900274, 13184, 60179, 656973, 147498, 581109, 817336, 591653, 35826, 330894, 707948, 873750, 630322, 696920, 187165, 837051, 417306, 508173, 398703, 173934, 505207, 799197, 881537, 492420, 118167, 853273, 77346, 148503, 784920, 868848, 807441, 684737, 164211, 471865, 915791, 511154, 314711, 531438, 623522, 410453, 756213, 794747, 675251, 202443, 640545, 900518, 896189, 334232, 846143, 909509, 818847, 913102, 443988, 788494, 795563, 573717, 920, 633612, 91367, 949025, 253915, 317770, 711198, 743266, 689792, 298969, 373958, 681427, 749839, 726608, 463081, 947334, 736913, 197302, 470988, 478427, 58740, 986951, 78451, 787322, 460338, 866961, 447670, 468480, 319823, 219204, 592055, 67239, 456052, 147074, 941150, 227169, 729255, 789538, 654454, 875802, 473553, 206948, 80254, 864188, 341984, 495605, 440760, 341299, 522697, 841542 ]
990,049
[ 38275, 329417, 873513, 7277, 985181, 543973, 470015, 387970, 530977, 628652, 296532, 871576, 882950, 618630, 868583, 959852, 692514, 487025, 40881, 253676, 223285, 345633, 356130, 819632, 675372, 870754, 304514, 276551, 277260, 945500, 543881, 186439, 360423, 937891, 775914, 930614, 189047, 236644, 727124, 546123, 455086, 794116, 815447, 753951, 737837, 434234, 376417, 489462, 942719, 560000, 230077, 951980, 874477, 855553, 417119, 375800, 317057, 40721, 492489, 235042, 30264, 61675, 498034, 753370, 862830, 915404, 824393, 334445, 382154, 91254, 442184, 407538, 932840, 876446, 413101, 365705, 396709, 575397, 36760, 126561, 212052, 394708, 988522, 248368, 878541, 243572, 508476, 604841, 845238, 413565, 675457, 796587, 650726, 720455, 242559, 860426, 760258, 703775, 978018, 371937, 383729, 428766, 515859, 532320, 963494, 970833, 987220, 238268, 298932, 483305, 561752, 70553, 213867, 742286, 559547, 138905, 886400, 749764, 816807, 552258, 908785, 823539, 237214, 823645, 664505, 38037, 835259, 616732, 824552, 196418, 380596, 728323, 349802, 387034, 455671, 893634, 53344, 12304, 54132, 70425, 735517, 289181, 916172, 337625, 627681, 956895, 162549, 28954, 954412, 442906, 306167, 60003, 805897, 612189, 928802, 696914, 194920, 804582, 636060, 473695, 220236, 165082, 517071, 83668, 932307, 717973, 211374, 205948, 50776, 945659, 659997, 198376, 49882, 529337, 99915, 843035, 612830, 855754, 478227, 288314, 580270, 915464, 405932, 198902, 899681, 530382, 528382, 655451, 820697, 73504, 9104, 428375, 612621, 182690, 737653, 359962, 518559, 642947, 30973, 413170, 805730, 850070, 701356, 36837, 876132, 601116, 790648, 663587, 730476, 383275, 858608, 398377, 249416, 67672, 243907, 355816, 879778, 611547, 34225, 551048, 69153, 258651, 519025, 479116, 648545, 699553, 223583, 389984, 922361, 890138, 98220, 978433, 561598, 878003, 130758, 235399, 669133, 410100, 516882, 70923, 524536, 565235, 891138, 344891, 390036, 495051, 718811, 330551, 901542, 842820, 141972, 439173, 634640, 622967, 957972, 234035, 938523, 614669, 768819, 1495, 642755, 254555, 265252, 756944, 535289, 485715, 66751, 887278, 433620, 35824, 65611, 981008, 635714, 130881, 234333, 361556, 406153, 754828, 535159, 351658, 539776, 884345, 740051, 86620, 504620, 841060, 502238, 623899, 173764, 82808, 186459, 657292, 922206, 159190, 685012, 207152, 388516, 746533, 737859, 101358, 531310, 601716, 431712, 968429, 225910, 683461, 860816, 189202, 680671, 874649, 748628, 581746, 382047, 950060, 957544, 815206, 473314, 253963, 651016, 151841, 929802, 115859, 735465, 78496, 62301, 949739, 347968, 618672, 490403, 32822, 879133, 387446, 518476, 249722, 572833, 54688, 53713, 634995, 316833, 729030, 660268, 979435, 190838, 557722, 968860, 157317, 776224, 441540, 12307, 867317, 611743, 76292, 166066, 809542, 846592, 222368, 834360, 844605, 870128, 42530, 957051, 867573, 746111, 416514, 852043, 140152, 52009, 254944, 912987, 896264, 39328, 878531, 132665, 222391, 209294, 37285, 742529, 665287, 35393, 466064, 220956, 194343, 265129, 85149, 317924, 644511, 473624, 149065, 310666, 164253, 341282, 722319, 674177, 645955, 376547, 109948, 812191, 681091, 53316, 820999, 538535, 921226, 434566, 10086, 751323, 356657, 863357, 791147, 109215, 483205, 793316, 199037, 187111, 846810, 164734, 894186, 178743, 391804, 844216, 741116, 616492, 554322, 72166, 150811, 361598, 70221, 266616, 344508, 313358, 291206, 287695, 652045, 958411, 546626, 39703, 112335, 640120, 520962, 456133, 817735, 486628, 177894, 515286, 130270, 72817, 304615, 739007, 108085, 878387, 687379, 794798, 14626, 761883, 975531, 577608, 887955, 384173, 373701, 289165, 636633, 526058, 814295, 21147, 747524, 803225, 405376, 798658, 72553, 847026, 424998, 676536, 276662, 874102, 110522, 879896, 498561, 977823, 791374, 169001, 203086, 236324, 652500, 419043, 416065, 449354, 304460, 670094, 325038, 99046, 355878, 814937, 700494, 38106, 355208, 702443, 479852, 851236, 27899, 863020, 901209, 37190, 253429, 333231, 973350, 953530, 362520, 191486, 738272, 705628, 167799, 833261, 52853, 28792, 632122, 223217, 524499, 485459, 714428, 62830, 621109, 299737, 390163, 379027, 735307, 949883, 900547, 75567, 72577, 32048, 283824, 463485, 462270, 374747, 141298, 338635, 13159, 960675, 565501, 508203, 621720, 607904, 687423, 762163, 857237, 264380, 786659, 146494, 31906, 484154, 585667, 587356, 939540, 32394, 486920, 209997, 76553, 743805, 830950, 988552, 41900, 718632, 314217, 468884, 638289, 375735, 888061, 299030, 314674, 502267, 759925, 68751, 499623, 118525, 170277, 152555, 839531, 985255, 675049, 292315, 829620, 646909, 287082, 184435, 191859, 233151, 515227, 80659, 32881, 435, 218483, 243187, 181187, 409115, 512839, 646409, 615336, 164446, 203391, 622223, 871277, 614281, 221387, 775114, 114817, 236406, 140083, 16630, 763838, 803072, 304504, 140336, 513463, 172344, 954262, 780716, 318366, 546137, 230732, 712774, 266161, 597188, 697922, 261742, 451996, 470748, 357793, 319580, 857779, 231389, 745247, 499854, 468117, 946256, 201059, 479613, 753484, 950407, 753096, 401182, 300266, 520509, 797521, 596945, 931047, 502702, 611408, 198695, 433575, 11601, 737629, 56836, 588576, 87691, 597983, 14622, 856709, 912785, 73003, 810322, 460189, 286497, 617863, 88494, 389157, 938002, 979654, 530621, 111753, 258139, 677528, 476500, 932721, 124778, 446526, 26343, 733593, 399187, 73712, 960313, 455718, 827336, 266016, 273432, 169568, 308976, 367177, 774010, 785088, 416615, 717589, 46149, 327865, 68428, 444219, 259140, 688728, 279917, 927108, 271534, 674477, 834985, 466358, 76054, 655320, 633738, 19088, 54776, 968821, 570804, 219893, 665676, 635278, 868172, 371627, 967974, 299509, 662922, 630909, 664483, 397287, 194438, 506714, 96708, 422021, 471022, 971457, 72847, 567553, 858490, 159044, 39023, 593861, 201060, 847436, 667395, 706686, 909375, 533771, 58164, 467451, 613934, 85459, 321940, 314095, 583968, 810708, 500194, 328692, 187387, 362398, 719487, 272609, 480660, 604809, 845982, 880046, 692693, 493714, 587399, 177644, 195352, 851027, 314566, 245675, 660157, 32909, 575850, 56617, 197377, 753247, 833654, 900878, 476330, 675721, 438746, 481192, 33359, 296094, 699394, 547240, 312702, 230216, 190032, 342147, 65918, 10148, 445352, 550418, 609381, 263342, 869682, 751256, 569944, 764074, 721337, 849438, 224869, 32208, 216360, 83688, 765486, 255818, 354520, 483099, 152458, 461564, 929620, 527486, 916789, 875175, 395156, 280843, 743332, 348858, 208845, 123800, 948721, 792122, 628897, 422274, 149434, 422097, 816335, 391686, 742608, 798150, 218014, 72140, 604456, 692277, 751303, 666052, 557481, 47774, 587929, 547308, 906350, 873919, 822479, 367599, 941469, 771660, 685220, 797188, 557941, 986496, 872497, 375440, 52988, 756703, 502830, 504549, 456211, 834230, 639377, 821235, 71849, 259684, 525853, 117936, 685769, 836157, 716514, 76573, 817057, 261576, 82195, 466962, 799258, 895443, 13499, 637766, 200203, 28991, 574060, 374771, 740528, 581143, 867366, 738080, 556677, 567651, 344883, 670487, 353956, 225658, 653097, 588844, 352349, 91794, 923922, 548747, 48662, 819989, 210163, 257880, 782981, 101727, 622007, 670279, 48771, 868504, 55189, 288228, 316217, 880877, 678766, 183918, 589578, 579885, 663626, 300177, 942520, 322225, 529423, 483176, 758957, 50350, 730251, 529223, 967210, 281470, 70954, 643187, 306029, 353276, 943017, 346584, 653799, 748513, 717403, 247597, 277785, 610989, 465553, 416596, 251446, 161579, 781111, 962524, 403791, 596542, 526752, 133509, 915630, 201491, 625630, 194268, 352780, 378683, 341913, 253715, 251151, 68587, 147815, 590292, 958824, 269656, 647694, 442812, 340485, 749148, 936846, 176328, 444920, 519770, 708766, 456495, 57358, 330916, 15169, 768710, 372492, 549216, 726295, 322855, 270917, 770376, 505118, 571177, 302169, 88673, 21259, 774488, 624780, 399796, 100700, 578258, 680686, 129058, 637209, 365871, 5460, 989907, 279865, 271809, 52484, 5027, 847111, 265342 ]
990,050
[ 899821, 160025, 673573, 982956, 94073, 451482, 802795, 589065, 601178, 672712, 156261, 489754, 63227, 256342, 132544, 737137, 720397, 539660, 552000, 683251, 377718, 920871, 115195, 4012, 775176, 683207, 327803, 622851, 47486, 158661, 150043, 74652, 274276, 662046, 621515, 819021, 8902, 658682, 219449, 848295, 216846, 813301, 214929, 766355, 721851, 599280, 175456, 417243, 37286, 824867, 788, 638868, 382259, 204538, 731980, 397404, 609022, 529624, 537776, 932806, 735681, 870867, 85709, 59922, 122648, 266157, 906850, 228306, 504541, 281060, 642917, 58687, 543158, 196482, 117912, 370591, 520716, 369895, 654578, 217307, 184206, 514805, 561884, 389545, 177497, 679269, 193123, 679965, 253397, 302970, 212809, 198767, 869206, 834343, 922462, 4362, 333475, 783131, 443538, 282471, 721581, 937538, 541191, 722187, 238098, 560792, 44496, 949487, 943659, 617716, 969314, 944371, 111803, 57, 481786, 236910, 121238, 233136, 489629, 747445, 937691, 395915, 673206, 367272, 867637, 394515, 351562, 856105, 886590, 625322, 85446, 926446, 823481, 864928, 279054, 548315, 922150, 426763, 852187, 295766, 336604, 719583, 600280, 19009, 862185, 969874, 662896, 851170, 431508, 293416, 777960, 443718, 777859, 447245, 362356, 725155, 181232, 320103, 61160, 658541, 922091, 960370, 929496, 596823, 325352, 296101, 576651, 867487, 361887, 262829, 550268, 85078, 840321, 52887, 790333, 261816, 215756, 337423, 874790, 58976, 457376, 745263, 753349, 560641, 859081, 951607, 865466, 551650, 923286, 319273, 190030, 397785, 843596, 570246, 682696, 627695, 906781, 800399, 385524, 407049, 767472, 248, 419862, 876487, 701688, 172094, 794124, 623423, 683406, 217424, 314713, 696350, 615662, 817089, 354994, 524127, 546145, 645568, 857291, 429721, 758680, 167893, 741363, 161415, 583697, 500469, 986486, 571859, 293628, 381713, 751812, 483095, 490012, 835310, 959536, 113789, 103954, 160475, 823394, 560514, 214253, 50673, 345917, 395150, 451864, 923699, 130310, 67502, 549488, 915412, 677623, 645113, 429655, 550681, 626753, 374568, 355745, 459265, 656114, 471977, 142544, 973433, 195796, 471713, 628765, 948939, 641698, 201025, 553510, 246819, 794626, 940601, 478633, 250938, 406150, 340475, 894829, 75399, 62905, 407206, 358082, 372083, 780913, 296276, 22468, 756599, 106186, 846748, 617651, 627891, 841076, 680698, 370315, 785581, 96862, 637803, 621656, 190023, 932825, 517184, 922415, 710665, 909476, 643862, 897169, 70906, 391380, 603076, 622699, 378764, 489073, 572034, 989599, 253937, 46210, 454139, 11106, 457971, 528605, 326199, 589917, 291532, 832082, 67195, 391884, 672662, 350901, 983458, 262565, 454171, 223193, 295569, 787129, 283691, 208534, 41921, 142643, 646829, 698555, 462454, 478361, 215549, 522375, 513672, 111997, 252717, 714539, 941704, 61661, 815685, 2165, 355966, 526527, 651294, 730090, 890580, 118781, 103563, 655045, 364939, 932894, 428093, 449393, 611531, 167361, 972168, 860942, 289520, 696077, 514341, 904820, 589421, 428204, 427232, 717491, 540674, 112501, 135705, 279257, 794418, 223410, 759039, 656396, 533483, 695600, 658804, 846949, 208791, 564272, 751102, 519449, 672514, 703363, 830008, 296493, 323803, 72886, 39011, 873820, 38465, 185551, 82289, 674009, 563882, 460739, 267219, 632886, 828876, 934251, 376020, 655446, 695280, 137855, 729707, 659095, 238348, 13111, 125378, 646318, 226475, 115354, 284048, 708443, 443917, 860288, 185250, 646967, 591439, 886365, 195787, 88445, 840816, 200442, 945391, 800286, 484398, 281351, 727949, 630284, 900022, 887707, 90182, 847110, 279746, 248590, 934768, 61259, 558926, 721048, 888858, 540019, 548306, 386836, 24529, 98424, 237799, 378729, 316589, 112744, 63144, 588667, 154039, 708861, 557621, 125429, 333512, 850088, 511447, 841713, 437349, 382191, 580948, 215380, 694865, 96856, 211669, 685322, 356106, 785270, 808570, 274000, 366400, 519766, 738367, 52001, 222462, 691483, 828466, 657798, 79700, 464753, 73065, 665745, 179589, 679735, 108962, 955133, 687954, 50370, 252779, 571472, 114850, 727814, 125116, 744513, 309968, 113834, 144300, 351400, 271755, 210854, 253931, 724765, 25243, 300233, 273714, 705639, 108135, 747104, 390350, 766278, 201100, 385206, 566820, 631115, 12408, 729185, 509957, 946716, 962535, 949256, 928147, 126976, 542969, 725103, 466648, 785280, 966729, 378252, 203988, 467245, 973347, 549741, 219833, 560734, 462862, 856811, 715456, 874423, 873898, 11501, 928199, 663523, 112076, 91458, 614381, 451892, 812848, 19513, 6565, 706193, 604261, 641267, 832263, 62655, 457955, 600870, 45754, 636295, 670781, 427321, 890062, 192603, 283430, 264645, 800973, 312570, 968502, 619392, 680517, 335909, 425210, 700728, 292200, 479981, 60236, 811759, 374886, 519706, 830966, 602961, 331216, 649857, 820779, 566546, 341456, 22764, 621284, 627536, 233117, 861853, 626268, 583562, 245432, 303869, 409506, 352545, 962876, 921832, 320845, 214040, 972678, 178063, 424420, 619787, 122489, 956428, 74022, 365491, 328681, 912011, 638655, 16158, 411423, 96596, 770447, 392216, 582620, 289633, 73995, 223525, 762335, 250802, 66787, 479606, 835811, 631218, 495351, 199161, 120027, 687579, 344441, 922672, 908260, 593994, 760625, 923035, 538971, 874679, 303365, 805465, 794172, 740317, 455474, 149218, 465230, 197058, 101325, 867966, 255519, 436454, 190057, 268290, 414684, 801027, 515012, 607190, 788484, 818470, 281533, 37813, 92929, 18066, 166166, 490512, 457219, 353909, 307525, 389145, 869357, 534482, 433411, 210878, 690069, 100399, 491097, 176532, 953486, 595818, 270598, 108984, 627725, 586579, 174712, 272971, 750605, 329314, 634311, 452352, 836019, 737415, 982451, 685911, 234851, 147025, 445163, 703102, 731992, 805650, 639126, 744705, 594936, 884776, 194099, 420202, 637466, 483708, 185000, 863040, 981669, 394181, 213667, 732213, 611740, 681758, 419199, 817681, 365141, 335419, 102325, 857248, 251433, 363218, 161733, 95494, 705967, 906248, 897727, 346129, 527461, 635324, 779050, 97901, 377562, 110795, 515363, 255132, 244683, 241544, 457917, 432790, 162894, 655691, 705489, 184481, 298883, 590420, 374783, 807840, 37550, 821530, 970921, 756806, 263163, 9469, 11653, 797466, 914284, 869899, 128122, 693650, 25774, 183324, 645430, 869725, 527354, 472173, 796186, 568511, 599318, 295948, 624906, 151026, 683081, 540311, 901663, 913510, 165405, 465144, 44163, 421474, 560902, 979991, 730529, 134148, 250665, 762417, 846580, 635289, 9379, 907619, 179367, 847093, 264001, 403803, 681215, 593493, 273894, 184898, 158322, 868629, 646962, 154210, 97863, 412785, 480185, 197163, 438063, 469484, 524636, 431719, 97854, 977091, 783524, 237724, 219982, 202425, 729565, 981275, 86166, 424040, 253173, 603999, 401818, 832734, 700573, 596163, 13634, 503076, 578188, 779513, 407087, 121984, 282500, 356489, 8606, 277234, 974610, 86872, 640525, 78118, 872085, 507834, 547945, 684280, 245181, 3724, 327979, 128475, 596302, 681870, 543955, 898702, 427505, 931119, 285184, 322621, 862332, 192604, 195234, 603914, 976868, 638475, 456760, 51902, 372513, 866612, 54720, 813885, 651228, 824404, 55169, 128166, 16560, 259382, 145844, 194729, 527724, 249141, 406229, 464855, 661459, 363185, 51411, 328551, 322941, 604943, 850684, 702144, 811810, 702332, 865839, 219071, 206937, 218125, 782399, 138103, 104908, 387990, 327340, 977505, 83323, 285434, 118275, 146991, 467138, 105414, 765260, 870834, 922267, 34476, 202673, 386816, 544556, 26492, 787183, 929603, 497688, 903340, 649257, 400587, 672503, 778706, 763417, 776020, 729009, 535010, 962908, 867845, 315054, 387270, 685819, 718600, 671616, 696132, 606061, 27067, 568610, 732103, 597636, 121371, 655683, 493851, 206413, 365324, 839162, 733270, 76884, 520103, 613853, 83435, 783205, 471207, 943629, 936188, 640702, 436677, 869079, 513571, 661535, 237436, 562243, 253398, 951571, 260118, 255745, 437147, 512640, 666099, 711231, 454837, 127405, 289881, 818486, 189391, 932409, 673488, 157844, 251599, 92314, 124087, 838889, 645491, 569154, 414588, 423684, 636354, 18831, 478485, 198284 ]
990,051
[ 846303, 164493, 25708, 854343, 547706, 605891, 702656, 416347, 481196, 545518, 225718, 485345, 628027, 722036, 153840, 561176, 148136, 632840, 277204, 218905, 719788, 89138, 548023, 809164, 936447, 588506, 350405, 163748, 461922, 365857, 140329, 12553, 514107, 179664, 24868, 800499, 372529, 98469, 139797, 413882, 100102, 458351, 586560, 279350, 175633, 34805, 833714, 401386, 552274, 871313, 5841, 832764, 32812, 799005, 596289, 376521, 727887, 548284, 241561, 750303, 588194, 340122, 525903, 939037, 838758, 298086, 236984, 71326, 359527, 967979, 556699, 248426, 131357, 69380, 702953, 623166, 96888, 900099, 753223, 810488, 28084, 645448, 826878, 645643, 335279, 675314, 969241, 981220, 361492, 975903, 254647, 553339, 973960, 656161, 297550, 554169, 915892, 656333, 797910, 224104, 649855, 907018, 732178, 435747, 727626, 942402, 543522, 651545, 937114, 987107, 167034, 320761, 682200, 70822, 34512, 122046, 191454, 609111, 640479, 824884, 214391, 152457, 148311, 247232, 251453, 236220, 649137, 940164, 876031, 769898, 332990, 203710, 289399, 440945, 429251, 719994, 217492, 426575, 135316, 607165, 331012, 108385, 131339, 612025, 650778, 304736, 58486, 297461, 854731, 785681, 179210, 681571, 85810, 610013, 314622, 415782, 88318, 609827, 363376, 820436, 717473, 306327, 750176, 985967, 451710, 630844, 322295, 44607, 739975, 900577, 441915, 78536, 799050, 947507, 23229, 889930, 633876, 841305, 693125, 720183, 335696, 226704, 61289, 953095, 443728, 579258, 854149, 903483, 310396, 358650, 720762, 45763, 448402, 660127, 673108, 473237, 436210, 610621, 291021, 278094, 651314, 954229, 821181, 279992, 77771, 651816, 614101, 786740, 864483, 492954, 80016, 644218, 24532, 211426, 512112, 890165, 898411, 359314, 246243, 173668, 287052, 389369, 634000, 670549, 735732, 267528, 129675, 281925, 659493, 970645, 584903, 257687, 484194, 511829, 249745, 594357, 370460, 803838, 825266, 412186, 385315, 388300, 733843, 523040, 70797, 943747, 543066, 52636, 197404, 630061, 250224, 935868, 351068, 439817, 38035, 113249, 869635, 347729, 682000, 537901, 828774, 203760, 229690, 694630, 584995, 232586, 535732, 559762, 715269, 385799, 7770, 350743, 259323, 773032, 109563, 811931, 686548, 822249, 13543, 978849, 988390, 643086, 594533, 978391, 549318, 643454, 346919, 848685, 955392, 927469, 264365, 142965, 648685, 576942, 767148, 535214, 522293, 706276, 346765, 19955, 274813, 810062, 396843, 604710, 525775, 348992, 613112, 843396, 751446, 4482, 759716, 678781, 182549, 265435, 490901, 494429, 454082, 422798, 578005, 247457, 550689, 447911, 986802, 369407, 941812, 570876, 184237, 942133, 612018, 588530, 160308, 915923, 281930, 953532, 954106, 329753, 505261, 300085, 956693, 58659, 115115, 27131, 386671, 688637, 135508, 337026, 724468, 648850, 882873, 190132, 5703, 3500, 232104, 604789, 917435, 363246, 436503, 12760, 479258, 426195, 273594, 626154, 373846, 874481, 591790, 492571, 190818, 301022, 614346, 779480, 619004, 745595, 345989, 618228, 69291, 740895, 779528, 262287, 466367, 254903, 790817, 621931, 897549, 157906, 264769, 745356, 153264, 405926, 64864, 202252, 524638, 757037, 83304, 523364, 197662, 562245, 527211, 903572, 569558, 570672, 294888, 389833, 631602, 530848, 515735, 497571, 511050, 986701, 287159, 931431, 509391, 268163, 231092, 752142, 104427, 597248, 714454, 169922, 358403, 499745, 483815, 12928, 362473, 356266, 165987, 705699, 799185, 961627, 884882, 310005, 962639, 430880, 589982, 389187, 697438, 863513, 172142, 191362, 507275, 435620, 284094, 432205, 74662, 473625, 859570, 93521, 218308, 565819, 456761, 463880, 950396, 718615, 329430, 439508, 189206, 656444, 8206, 517533, 583675, 988336, 415614, 520016, 484479, 947578, 719959, 496230, 897530, 753784, 549075, 560830, 417607, 259456, 798626, 250560, 665600, 317591, 556147, 959642, 457832, 272813, 989438, 85294, 468164, 469439, 40507, 160096, 200858, 887361, 281302, 736097, 77738, 642608, 944049, 524661, 346684, 116241, 544105, 917999, 111861, 605041, 129923, 778555, 334878, 38805, 627107, 487982, 680020, 657177, 449087, 902810, 490387, 962489, 330866, 45155, 850927, 173719, 961545, 571187, 592169, 792441, 944087, 192347, 775429, 198011, 866264, 672658, 459734, 468186, 94968, 170402, 415639, 150440, 751901, 286817, 561040, 17403, 806266, 779872, 244495, 54579, 797554, 454753, 16737, 837450, 279951, 623403, 192457, 259922, 356493, 298639, 743041, 148231, 541896, 208683, 777178, 823667, 192119, 784566, 79779, 120902, 215470, 428184, 911722, 314163, 368774, 121222, 152414, 584669, 951551, 564729, 521690, 341024, 421674, 857991, 206403, 335211, 545277, 695621, 895162, 879901, 363429, 266163, 407461, 141609, 786422, 345585, 89875, 753305, 573002, 779660, 736824, 938353, 201388, 531467, 826689, 884566, 960130, 860983, 167073, 164453, 306439, 692804, 736202, 164102, 584324, 923974, 437770, 108772, 520385, 317993, 85649, 622000, 124814, 895355, 322694, 710857, 828877, 238724, 615970, 17186, 93221, 659942, 369432, 672591, 259356, 731060, 743555, 545368, 514380, 315451, 890306, 730134, 825023, 963774, 574251, 780901, 211143, 213083, 967131, 495164, 420981, 64536, 805766, 461603, 621994, 880508, 318211, 989977, 299907, 923930, 259962, 661819, 102666, 656703, 646818, 611947, 475508, 363314, 66564, 327676, 329200, 568050, 8125, 924478, 663325, 443206, 137329, 845403, 383500, 633940, 903583, 977018, 572855, 836174, 408401, 914872, 528327, 549622, 237551, 296390, 433727, 791549, 109534, 497702, 184504, 86149, 894592, 204316, 441831, 135669, 822813, 932673, 329226, 256176, 430766, 808639, 402470, 600143, 905111, 8954, 115765, 619198, 951326, 453933, 342822, 976282, 475654, 843792, 209605, 649244, 597876, 548052, 175677, 275150, 325945, 536014, 346875, 493388, 314239, 681499, 160283, 353355, 775202, 957556, 271102, 291931, 508302, 630058, 614490, 576566, 964993, 74992, 978060, 79197, 215386, 740703, 762208, 973431, 320196, 605650, 718134, 696921, 291757, 741026, 745479, 575476, 544202, 648317, 514031, 75992, 933542, 706446, 142275, 688118, 39958, 875583, 479944, 341207, 330884, 168751, 174356, 471544, 753419, 467473, 695930, 28909, 480449, 17666, 969104, 42828, 190143, 455480, 542409, 41170, 359058, 115372, 6897, 414941, 195402, 704553, 560602, 283728, 723114, 245214, 706146, 865045, 165446, 236951, 977429, 217137, 728980, 433887, 645456, 612446, 760202, 853961, 721188, 649500, 562833, 677344, 809430, 253073, 569998, 64037, 666702, 379924, 2233, 266954, 945261, 366584, 650218, 89167, 74776, 221765, 535348, 113388, 598186, 441288, 433354, 728993, 512359, 979546, 656480, 328444, 244068, 192197, 509694, 167104, 637472, 126979, 253217, 948757, 898465, 453116, 3337, 704704, 981529, 598622, 254329, 24364, 346046, 596617, 438717, 419003, 231112, 299656, 695204, 858302, 426214, 266879, 678755, 65994, 14040, 136310, 364739, 328039, 57183, 193370, 222420, 70624, 107525, 671153, 215851, 226698, 978617, 558246, 332346, 861160, 368195, 489198, 418411, 930581, 158119, 202944, 917483, 333936, 580515, 921173, 856872, 696987, 647423, 766710, 672100, 982202, 336797, 378808, 417838, 355155, 355324, 46838, 968421, 699139, 765865, 222142, 430920, 928702, 151277, 955568, 200602, 862177, 179692, 692610, 989652, 510715, 616023, 189383, 52969, 460926, 335288, 705437, 648382, 618873, 317918, 310997, 547718, 709088, 592821, 306447, 932556, 603893, 358698, 277572, 790643, 367977, 639370, 600432, 576754, 510037, 695835, 832827, 177934, 239052, 256314, 309382, 664245, 710460, 510984, 469014, 83846, 658521, 390207, 980402, 254398, 678824, 508117, 885917, 627807, 415795, 598673, 832054, 820457, 480112, 555226, 251501, 522089, 762089, 871127, 314538, 373286, 59180, 313921, 660804, 829773, 280295, 295463, 112951, 402009, 311038, 661731, 766741, 403934, 97900, 80724, 739606, 828095, 510035, 798065, 1259, 882517, 214795, 352007, 597872, 558367, 282473, 546229, 255043, 793829, 518461, 208160, 236363, 485271, 364564, 180814, 293944, 388798, 241827, 690538, 48073, 269284, 752693 ]
990,052
[ 726356, 480176, 44228, 726685, 206616, 88148, 524956, 45575, 591626, 779856, 292867, 551402, 286870, 656036, 449982, 8035, 872146, 123876, 883597, 933234, 815404, 206721, 565669, 110596, 315211, 201750, 559811, 136521, 575494, 767263, 114314, 412977, 560626, 708074, 300396, 42137, 422384, 11678, 714789, 444031, 704047, 132449, 690971, 408614, 241153, 167277, 159888, 453344, 746041, 3230, 529756, 539962, 674851, 652873, 797228, 915483, 458150, 481663, 768422, 813064, 655241, 15805, 493229, 257743, 283835, 385140, 326321, 88078, 534290, 603768, 449764, 134421, 375966, 651750, 772968, 90094, 407429, 365026, 275490, 430256, 830010, 143583, 242458, 665619, 243362, 300979, 538304, 34051, 359179, 989093, 529810, 561840, 270029, 938243, 426680, 527592, 334904, 497877, 330377, 106816, 775893, 802675, 161527, 161332, 545888, 847307, 290653, 471376, 793487, 444137, 166284, 984304, 897341, 770060, 204254, 506965, 479384, 869085, 682264, 68271, 789634, 927899, 693859, 631781, 69481, 861344, 969724, 1665, 802337, 864224, 17375, 498712, 214518, 243019, 292932, 605024, 58546, 747260, 429638, 849347, 346118, 251838, 628245, 596600, 640005, 852503, 194782, 721782, 830422, 713501, 501223, 763486, 469758, 832400, 602284, 5015, 485690, 88758, 555332, 489790, 570325, 961897, 823475, 904251, 924168, 893483, 816046, 751987, 234865, 634897, 784092, 285191, 380904, 813967, 294679, 909679, 961967, 365166, 285269, 636333, 427797, 919526, 644477, 565439, 59247, 708542, 80928, 808456, 557857, 744004, 525637, 624745, 509925, 141243, 70548, 908567, 40260, 550109, 967209, 134114, 354546, 172061, 306027, 207335, 525294, 543455, 8524, 723466, 172976, 611840, 693467, 77320, 297894, 784236, 258517, 836301, 817240, 323317, 140257, 322083, 808865, 488805, 455691, 288210, 701388, 249935, 709395, 233482, 345295, 124858, 711704, 273918, 343568, 485376, 387793, 287213, 35051, 252109, 964518, 199347, 883511, 383149, 924386, 141896, 829484, 382577, 277110, 42618, 79406, 123881, 172008, 372749, 568455, 888594, 787622, 400600, 343284, 360351, 228336, 255048, 493897, 604318, 260403, 72893, 176212, 76385, 641624, 782314, 164544, 77149, 611211, 729670, 409311, 379599, 503584, 432140, 665464, 572866, 303646, 290954, 318733, 51014, 134613, 253890, 369350, 115751, 364898, 41956, 452961, 845724, 276590, 497811, 415713, 745768, 556423, 433100, 553035, 509974, 5934, 631217, 514739, 452119, 296136, 350932, 343339, 391147, 482228, 776973, 453590, 884594, 412389, 763589, 167482, 130298, 399348, 257613, 77623, 442595, 11384, 267884, 937908, 3884, 241985, 776078, 986742, 910456, 354699, 253899, 449864, 692116, 237352, 296301, 687644, 899877, 266947, 655593, 826202, 550110, 881465, 114360, 574407, 867500, 327271, 583640, 257454, 241290, 739153, 709558, 355378, 174973, 941949, 474703, 69124, 469502, 767311, 156923, 503032, 936340, 910556, 684645, 546608, 230636, 920358, 379715, 40811, 613506, 18803, 39805, 639449, 607162, 23742, 938204, 36139, 882172, 318048, 451858, 598360, 223288, 12633, 31937, 301679, 650824, 28242, 798885, 803388, 239823, 813925, 43796, 142549, 432599, 317212, 487870, 277844, 429904, 502615, 729660, 209432, 449160, 433913, 213037, 605050, 81115, 680364, 625222, 769253, 174347, 271475, 540310, 591647, 527294, 405060, 762181, 877890, 167471, 125673, 201740, 87577, 358580, 670948, 952429, 796346, 133657, 443759, 886966, 362999, 620760, 51881, 532603, 139062, 339602, 933756, 14853, 741618, 155020, 390582, 877636, 443788, 5316, 29044, 552867, 260964, 465962, 377910, 541260, 539706, 417033, 147505, 235425, 896238, 299208, 878816, 519774, 392473, 51313, 684946, 222799, 595423, 107595, 833528, 521783, 797463, 834424, 386281, 89953, 334557, 167788, 797875, 800261, 407685, 228731, 464841, 308227, 429413, 747434, 797755, 775130, 321035, 907929, 453762, 48573, 121745, 77271, 829352, 693707, 405086, 665006, 55370, 529080, 985619, 688229, 460058, 891346, 151664, 312161, 215242, 358461, 536379, 174186, 459113, 907654, 782540, 52184, 552229, 668610, 180334, 744612, 1655, 69384, 627965, 400754, 919029, 23503, 422435, 477781, 31184, 401074, 92866, 678986, 936593, 256344, 894761, 605842, 817305, 299485, 718330, 526429, 197177, 867893, 284917, 120934, 184285, 394053, 392910, 29109, 173345, 65497, 144382, 18720, 485419, 568237, 826019, 286925, 384772, 455236, 989571, 19241, 601544, 111361, 405902, 702818, 743183, 920724, 500823, 121066, 461018, 345799, 910599, 305374, 495970, 158484, 397022, 723342, 178447, 938113, 80648, 860265, 813852, 949228, 78736, 709551, 19043, 961744, 715259, 145877, 3443, 860637, 565170, 549931, 387553, 636348, 267059, 339040, 91404, 879245, 108973, 80593, 515113, 125647, 42532, 715356, 417611, 954175, 576657, 219717, 884897, 229105, 330525, 838240, 752396, 633522, 563505, 443624, 313941, 864200, 173552, 63657, 601989, 523911, 713975, 346140, 810161, 393507, 838359, 804538, 824851, 105223, 66866, 384069, 121403, 924689, 906213, 584940, 376135, 171922, 901196, 458774, 721930, 659877, 132103, 452471, 509554, 158910, 46968, 227274, 845085, 380881, 361813, 51170, 974456, 767928, 791642, 763163, 369333, 699079, 299820, 465774, 355531, 695690, 483556, 663586, 522394, 24963, 625874, 131771, 262751, 795103, 979796, 654882, 71094, 542441, 74228, 350128, 222150, 189602, 837232, 475478, 765123, 886870, 931241, 705972, 487283, 5181, 16647, 15009, 18244, 680134, 144221, 251910, 53450, 977371, 586366, 966029, 67329, 653534, 336395, 900210, 674389, 671399, 142029, 427902, 536690, 919754, 311109, 82621, 956568, 822513, 90791, 303717, 782255, 637960, 499060, 78161, 32254, 388932, 439556, 522790, 865070, 822, 970122, 761426, 532386, 48292, 82810, 532642, 783458, 8435, 199566, 355653, 579340, 256419, 953110, 206083, 484403, 673885, 212064, 451268, 181071, 812062, 311720, 871553, 762936, 781185, 936276, 834973, 304105, 206018, 562299, 17076, 39168, 493740, 674136, 85644, 651537, 215465, 908111, 774856, 513986, 44398, 830332, 56999, 128191, 649052, 908510, 61385, 111209, 548523, 146001, 302156, 366610, 777036, 955687, 893750, 568486, 222610, 920189, 104034, 173036, 577234, 557241, 250122, 249536, 868576, 589111, 978186, 150355, 838048, 687149, 309595, 956692, 360035, 190770, 284589, 239013, 155935, 606251, 616964, 51004, 760010, 670559, 594952, 441742, 305570, 301132, 56230, 980585, 647910, 724286, 701803, 91222, 842454, 545116, 749316, 37598, 830212, 719760, 599966, 826608, 978997, 952430, 809011, 620929, 537540, 710356, 878174, 738469, 668292, 607584, 260337, 947634, 543698, 211012, 969799, 202042, 270100, 910184, 786418, 444226, 144736, 411090, 922413, 666223, 156338, 794900, 646089, 460281, 424585, 480958, 461619, 865947, 778711, 327663, 951438, 223810, 949311, 290760, 908483, 966538, 391510, 983003, 642094, 251660, 639530, 355370, 483855, 417548, 930941, 851904, 962384, 166562, 450630, 944922, 943697, 836159, 895870, 453532, 849780, 484819, 948360, 712784, 652543, 588607, 873525, 135828, 213334, 952412, 950839, 249689, 685194, 257759, 99681, 800076, 111133, 485811, 126104, 683591, 19557, 674109, 103453, 838230, 283483, 889571, 480677, 576055, 757471, 322575, 106856, 570959, 245498, 856931, 513239, 227538, 691517, 59010, 789039, 614760, 722956, 845623, 11401, 322634, 132334, 478512, 697798, 977652, 896101, 404493, 722856, 442943, 28433, 253168, 503965, 515983, 26373, 854526, 139294, 721293, 29026, 418331, 395162, 674193, 438353, 71215, 408035, 88349, 795749, 148887, 821921, 96872, 104214, 664506, 787901, 631235, 876778, 281148, 486947, 192640, 505829, 260908, 154958, 734815, 625743, 104356, 257678, 807298, 947541, 190073, 550291, 307591, 581777, 384337, 825487, 829202, 212600, 863057, 703238, 457619, 886629, 421041, 314316, 580323, 551343, 121234, 692727, 897611, 181123, 642424, 467555, 911739, 105434, 837307, 260014, 49964, 682958, 506396, 851340, 770968, 184142, 297378, 309240, 921488, 78294, 346666, 282375, 346080, 434661, 48532, 877607, 548721, 385270, 980814, 129094 ]
990,053
[ 49324, 77690, 138764, 5926, 695162, 76557, 536622, 277381, 713773, 85846, 752949, 155161, 519164, 542997, 872001, 932250, 69164, 304653, 766560, 904795, 522069, 239215, 23213, 25297, 967527, 822767, 715657, 278145, 664328, 36958, 723248, 861271, 871360, 456023, 150686, 756777, 282845, 688432, 181135, 882436, 411357, 350651, 92006, 699444, 203229, 965833, 683873, 712766, 503668, 597512, 952069, 269219, 196148, 313970, 664686, 628976, 787006, 691283, 540204, 397678, 688973, 250138, 371900, 871442, 327733, 382421, 509086, 187274, 836432, 381642, 138714, 209121, 897143, 135041, 941268, 861232, 858840, 353749, 592879, 737549, 766041, 257021, 396455, 305064, 667928, 787530, 36098, 688994, 700661, 682765, 611416, 973807, 474392, 722703, 428973, 646746, 734748, 831438, 470698, 535748, 647576, 160078, 128032, 989707, 444579, 483765, 582050, 368511, 347876, 628929, 922352, 200209, 527952, 71249, 91742, 861127, 838327, 335020, 278651, 143996, 719657, 22423, 672515, 750372, 61349, 750328, 685016, 448961, 438863, 501469, 780717, 76747, 346716, 645670, 421597, 341449, 328903, 170187, 732808, 358446, 382536, 195254, 185339, 305923, 275096, 786157, 56881, 770357, 418053, 800203, 840543, 907057, 52130, 814150, 22565, 714979, 749771, 634799, 725308, 128210, 956330, 934372, 676458, 2596, 162946, 619689, 598254, 844153, 833083, 514514, 28539, 21806, 171198, 390730, 258126, 696241, 978636, 244420, 87653, 625293, 669769, 177567, 641823, 396323, 704739, 484329, 807501, 258815, 288874, 874155, 551663, 292883, 302890, 76103, 806497, 556013, 708611, 580582, 956097, 797062, 893083, 435424, 87897, 521067, 709707, 598467, 284851, 418696, 353962, 127083, 750857, 139360, 123603, 129883, 61699, 985624, 938123, 415417, 338370, 358716, 976710, 570316, 38170, 223263, 375949, 987470, 15043, 966438, 447563, 614370, 814154, 105834, 325656, 55957, 680567, 141195, 105956, 733636, 452046, 812629, 978207, 485887, 884190, 983197, 696467, 225895, 804904, 762446, 865130, 972496, 313509, 503822, 71652, 702302, 692611, 177216, 799626, 592084, 394369, 805732, 422610, 157875, 718016, 636746, 848040, 804733, 611896, 621271, 584762, 290724, 490902, 24971, 865928, 364687, 248611, 761427, 695158, 382411, 268883, 662575, 652238, 768085, 727881, 693629, 557221, 746977, 435134, 703004, 512036, 72015, 895228, 246926, 907754, 421035, 869886, 546050, 58177, 701572, 123060, 107355, 196435, 145064, 172088, 392177, 184655, 679089, 160408, 630141, 413096, 480894, 613418, 455855, 387150, 149294, 560510, 599892, 780016, 177535, 527542, 623464, 576359, 416997, 815855, 433908, 221917, 310071, 611218, 920901, 956000, 114386, 554455, 786348, 764460, 345972, 926988, 131780, 99781, 517686, 672960, 585771, 507519, 358595, 304947, 497175, 709137, 575308, 814809, 271744, 651192, 866003, 809936, 229182, 61197, 18095, 373410, 556188, 690033, 799357, 381895, 904384, 395683, 734578, 899597, 804380, 819910, 78293, 652144, 606178, 394023, 570835, 443819, 961705, 68808, 517845, 512564, 299008, 893365, 412698, 758095, 547797, 608503, 723889, 865911, 427114, 441652, 488170, 425186, 113706, 395039, 84771, 248865, 852293, 346837, 254112, 603285, 66077, 474414, 79430, 3976, 321182, 256024, 483255, 715293, 73072, 320945, 171486, 303216, 430685, 79856, 73964, 930233, 662915, 447468, 508962, 61, 640859, 635516, 122191, 195832, 866473, 838701, 922106, 476633, 62703, 774122, 741721, 804036, 147947, 444800, 348700, 742726, 171018, 977943, 155835, 869130, 568011, 189778, 465772, 755276, 435832, 668560, 648286, 606604, 569469, 106985, 797207, 457138, 280177, 890699, 931895, 775286, 913194, 472079, 639913, 302536, 391824, 36320, 352433, 66551, 349126, 635738, 904249, 134169, 658707, 906837, 950718, 494496, 957269, 854011, 794399, 130649, 262165, 591681, 489609, 178411, 856433, 45928, 819163, 258985, 45602, 305674, 359292, 971935, 951575, 312491, 860916, 816904, 30678, 619554, 638353, 885455, 411956, 336698, 523201, 711849, 945745, 356545, 268154, 235157, 13842, 823341, 828170, 614131, 766039, 463110, 840653, 137551, 970166, 160293, 358417, 31764, 864668, 317493, 685342, 852427, 305302, 157089, 658867, 796996, 34331, 741865, 896081, 248076, 769970, 337150, 885421, 608121, 678046, 147405, 888006, 842463, 244361, 218430, 673769, 632193, 750479, 281140, 321376, 902889, 36610, 63482, 781717, 393582, 465783, 758469, 683096, 961860, 875618, 12280, 690750, 28436, 980900, 487745, 406037, 245369, 885644, 777876, 86034, 862188, 493718, 175955, 474120, 694576, 326382, 122671, 172855, 135140, 110652, 432757, 172062, 671936, 764801, 216942, 27458, 36810, 887703, 559960, 882294, 36305, 955495, 757514, 223938, 735867, 462527, 26463, 403530, 490144, 205389, 807092, 615756, 24168, 244482, 104561, 24082, 147049, 987709, 883202, 961200, 867388, 49481, 958454, 76382, 343748, 264940, 667662, 341245, 555046, 634200, 740762, 338937, 514942, 520660, 573372, 900139, 12323, 750418, 885499, 107700, 34095, 567818, 655361, 504112, 290461, 359734, 804587, 726593, 487511, 642164, 364967, 832780, 817002, 93561, 978935, 733821, 175123, 53333, 583678, 162994, 631993, 531314, 55810, 838101, 323576, 306681, 329877, 210622, 299456, 583595, 913612, 481003, 52124, 103504, 1343, 676139, 17894, 165799, 777183, 459399, 809779, 295690, 448925, 413510, 400619, 144858, 646825, 369131, 682391, 104531, 934191, 628437, 846826, 352245, 533651, 642057, 932682, 118845, 719138, 355982, 712093, 570477, 428906, 307533, 971555, 410463, 676622, 416604, 661981, 827915, 17901, 200338, 601928, 157344, 120726, 651846, 169891, 672266, 216156, 687508, 410142, 103915, 643577, 69733, 502306, 539225, 989779, 341017, 837991, 148610, 582746, 561336, 260258, 92370, 687182, 455729, 281153, 908060, 203091, 955490, 226186, 826097, 599642, 107697, 182938, 707279, 317714, 348938, 312635, 485706, 458754, 24547, 852272, 119140, 710904, 8056, 383336, 979988, 635350, 705390, 717439, 444718, 722102, 33428, 774771, 623969, 417450, 624213, 88610, 25495, 62263, 412508, 619784, 234827, 548622, 283193, 977919, 304945, 975038, 20224, 600768, 126933, 420915, 629120, 615270, 424301, 854111, 30954, 614991, 523472, 846868, 97838, 619598, 889867, 915674, 289937, 593581, 526577, 7217, 732062, 563198, 788308, 557701, 761194, 635005, 270949, 711314, 467924, 431482, 970465, 138820, 910314, 916579, 496268, 270318, 24097, 466612, 858188, 782694, 406253, 508559, 943138, 652484, 774393, 460839, 235405, 323195, 774964, 933728, 449270, 179574, 523141, 464139, 322771, 88867, 323951, 973393, 209665, 732138, 774269, 952919, 958937, 577326, 55361, 871701, 487203, 52067, 452945, 521047, 319052, 131285, 28693, 765266, 135589, 303057, 576415, 586984, 500505, 648348, 336648, 506105, 916305, 893754, 773052, 886955, 379172, 13978, 745806, 526782, 675263, 934737, 710340, 343458, 471780, 950327, 953442, 49061, 809796, 351767, 598833, 119827, 115436, 353754, 818193, 25524, 140847, 594381, 279324, 292331, 874017, 140119, 26569, 171409, 663474, 77784, 358644, 442527, 184709, 160071, 216535, 841003, 2900, 853696, 735842, 510325, 575578, 39550, 432880, 628872, 159776, 237635, 173786, 893857, 295055, 736532, 344932, 197458, 352777, 728596, 360493, 410168, 417182, 789947, 968752, 133462, 148414, 228858, 749674, 618472, 439496, 933679, 140727, 143237, 901127, 390971, 288428, 968931, 874235, 801774, 544401, 343880, 14730, 260358, 411133, 912843, 924898, 952800, 928430, 145520, 693920, 62572, 919981, 423820, 771017, 562701, 605999, 156194, 616615, 121035, 522070, 610809, 634178, 4428, 286125, 668788, 811979, 826313, 562942, 766555, 204167, 579022, 607218, 556414, 203941, 397300, 355889, 859625, 557457, 371882, 496223, 860875, 988675, 264676, 754723, 811328, 139957, 505314, 467089, 510844, 463294, 401642, 579278, 928448, 210895, 567975, 506433, 104992, 727518, 715715, 765307, 431901, 161304, 610110, 647095, 541174, 296129, 708084, 829329, 938629, 688797, 444071, 198568, 233573, 48031, 668018, 123152, 471037, 569277, 487263, 377921, 772238, 596288 ]
990,054
[ 659966, 704519, 674302, 386486, 141043, 265270, 422072, 389578, 538504, 480456, 607636, 29371, 730515, 501952, 916090, 627833, 266329, 553975, 401933, 925196, 686365, 248005, 448322, 364015, 737944, 174873, 699334, 469071, 538230, 972890, 253211, 726016, 373031, 837528, 172686, 430777, 776874, 822814, 458661, 183091, 208525, 546528, 407519, 29611, 684888, 693369, 304580, 108239, 872262, 4010, 346715, 230283, 128895, 30464, 247605, 286486, 224760, 469277, 163698, 170243, 91280, 341360, 503477, 50402, 883105, 456882, 844568, 170081, 186799, 472732, 676286, 279555, 639867, 533603, 579888, 280094, 456657, 479843, 403787, 978655, 580795, 627849, 128217, 888763, 635163, 605990, 690468, 815132, 611302, 798473, 96939, 54319, 390111, 7623, 55461, 22321, 313468, 646588, 110220, 566308, 322720, 706168, 458937, 274623, 449383, 156597, 260119, 631904, 723539, 637956, 669132, 512465, 318973, 332883, 735200, 536403, 703501, 569427, 268624, 400682, 253277, 263272, 400991, 357449, 783769, 809261, 555711, 80815, 734417, 829501, 410865, 863289, 897990, 663308, 849404, 519946, 809527, 44608, 597004, 583316, 912539, 380034, 154114, 36662, 20704, 687161, 709145, 866710, 440434, 496357, 942716, 667643, 748118, 111061, 630276, 123918, 190549, 170015, 9962, 178750, 863331, 488529, 689127, 638827, 711437, 971183, 954559, 112013, 734709, 725314, 726436, 344524, 348464, 292993, 853594, 457725, 2003, 105332, 18255, 528482, 772080, 417866, 59677, 277022, 926099, 922789, 740776, 160498, 75643, 957036, 124185, 937045, 685091, 399838, 703316, 315130, 974400, 386171, 200915, 85094, 923831, 848496, 710132, 170204, 356676, 618280, 180706, 809633, 396845, 76471, 80492, 323871, 308725, 141278, 470486, 943071, 229962, 659237, 38360, 188308, 324975, 968376, 485185, 234853, 495183, 508050, 930282, 801907, 742716, 979013, 358399, 178930, 414749, 421776, 920324, 176812, 156073, 117300, 237495, 965281, 884738, 969114, 527104, 28833, 896510, 194612, 578577, 932107, 865562, 521229, 235344, 963597, 734841, 412379, 848656, 161943, 184985, 445436, 621240, 814030, 981543, 405735, 177890, 905287, 160043, 308963, 949858, 793035, 584878, 364810, 682064, 258555, 754479, 957833, 406675, 471717, 696849, 105323, 418185, 950401, 251322, 752720, 832499, 533169, 273755, 441401, 491743, 362506, 795716, 712514, 130766, 644402, 505476, 820894, 72563, 138979, 940974, 919491, 809253, 825826, 42849, 421213, 70184, 797531, 168801, 414105, 428355, 788014, 294566, 132391, 306097, 251331, 837390, 307272, 885362, 488949, 136649, 727141, 166705, 699231, 415258, 351625, 730243, 388996, 252273, 459182, 414367, 389573, 292543, 149634, 604692, 555838, 634818, 177395, 698979, 240230, 240381, 794476, 942700, 288119, 442786, 30075, 688988, 575557, 805990, 61242, 657765, 898408, 837494, 933122, 442474, 257469, 413124, 130158, 451062, 51837, 663721, 178443, 182179, 308816, 397685, 783377, 781769, 279704, 38280, 351227, 698474, 260823, 320666, 325561, 641942, 848795, 269426, 424344, 908848, 707513, 651215, 193911, 729116, 671224, 296107, 434353, 457514, 654739, 884228, 710395, 872899, 974065, 740950, 308707, 926316, 742295, 863100, 798712, 787611, 497528, 13539, 398600, 291241, 682920, 204116, 308631, 431378, 616878, 730660, 660489, 749264, 94786, 847740, 237931, 56320, 715212, 84150, 949528, 688087, 766622, 792445, 98947, 210478, 185478, 951386, 925497, 429781, 414491, 929037, 653538, 631723, 866630, 346777, 245323, 45055, 884995, 58462, 770499, 796894, 627721, 592748, 617822, 435573, 538533, 546643, 758475, 809082, 169612, 2446, 494193, 618125, 212039, 794215, 890854, 849482, 520039, 467832, 536350, 206678, 534262, 481886, 735412, 666724, 200269, 325608, 884029, 19896, 487734, 391670, 637004, 287032, 136961, 570062, 313492, 231442, 765970, 605425, 463971, 738954, 853314, 591754, 632494, 556203, 364363, 259749, 607014, 552293, 179720, 794505, 163993, 706200, 678647, 140577, 613372, 702049, 8082, 123708, 683367, 937163, 535382, 622351, 642992, 918371, 763714, 187780, 728349, 557414, 15912, 178615, 865446, 73427, 660406, 883354, 775304, 520534, 26990, 767688, 682757, 204686, 156386, 320220, 765246, 570035, 396628, 698982, 349705, 556079, 293751, 290088, 576081, 678634, 409792, 146559, 412572, 312999, 513992, 780881, 285257, 201193, 737269, 278580, 492704, 756165, 857793, 514430, 699508, 126932, 220273, 601603, 339543, 48278, 771643, 84788, 515282, 336516, 203353, 886146, 908573, 546802, 521954, 769528, 605963, 205058, 615393, 982209, 303613, 65394, 766312, 369463, 50067, 486658, 201113, 564219, 921188, 107543, 568685, 330710, 55255, 106807, 535533, 835290, 246146, 697150, 308057, 819031, 251424, 647954, 740628, 825476, 692783, 223177, 938973, 126580, 246212, 985966, 129470, 205686, 124006, 474364, 423287, 748926, 693526, 908507, 449750, 811183, 50118, 278755, 23707, 735541, 559716, 692765, 283353, 517454, 858821, 680019, 755994, 674211, 987175, 78660, 146777, 494399, 489557, 102285, 610411, 980492, 278061, 37383, 79022, 201853, 401995, 690539, 511706, 72671, 723096, 717319, 851293, 423202, 73715, 315018, 276149, 988431, 931347, 688972, 50679, 787030, 195337, 358874, 981434, 672172, 757414, 882765, 393114, 835592, 929364, 24506, 732357, 519655, 602528, 885629, 148162, 334360, 797064, 677767, 617871, 86364, 823214, 461101, 457181, 598150, 797902, 370705, 710446, 11147, 370442, 865155, 908387, 548016, 878711, 709398, 5627, 307621, 93732, 885367, 59047, 589518, 941073, 730975, 909723, 467703, 869332, 432431, 59745, 732856, 723303, 697283, 291443, 117473, 875972, 561032, 561838, 724274, 777772, 770186, 204484, 259091, 348808, 401341, 110806, 231161, 987511, 877702, 710801, 49856, 631543, 807967, 575096, 834336, 701644, 589695, 742440, 711315, 448059, 532019, 152309, 801502, 745053, 506070, 188425, 754120, 452916, 119691, 124374, 972524, 896366, 50699, 816118, 327940, 608891, 729961, 889199, 501480, 693171, 381159, 148426, 643066, 705378, 189924, 28875, 909296, 401730, 527838, 979260, 819227, 39354, 147547, 542407, 976423, 939089, 271793, 175502, 987833, 530377, 985811, 469812, 360116, 352788, 963520, 614844, 22539, 975112, 25751, 799320, 371564, 119937, 895012, 43618, 380588, 346198, 934775, 538399, 224320, 82429, 127579, 134572, 879224, 759553, 233525, 463390, 424484, 128505, 243379, 445691, 48893, 662794, 508076, 988138, 861549, 616269, 88848, 73299, 113586, 983989, 928254, 703966, 735690, 655450, 251262, 262791, 881557, 589792, 507610, 122346, 492162, 867414, 654209, 660704, 916005, 69019, 370737, 655862, 42055, 400809, 737010, 974558, 834603, 616999, 585749, 893805, 646088, 315588, 905798, 279369, 397220, 368649, 124235, 563627, 883891, 373726, 89795, 372732, 778002, 370104, 876495, 746165, 857172, 259007, 3247, 724749, 512794, 500790, 910049, 66357, 932331, 593069, 616555, 554777, 132325, 374438, 631176, 208267, 915953, 660366, 926447, 534219, 856787, 70498, 523843, 202125, 898655, 867043, 230433, 664330, 970895, 386398, 487432, 47795, 140450, 87834, 839086, 874551, 59658, 84045, 861241, 671767, 185636, 47881, 335765, 188476, 350172, 218452, 470694, 203265, 540190, 35304, 556351, 752393, 48485, 209299, 609755, 859835, 541406, 360347, 23432, 588689, 521255, 793032, 836104, 588058, 71323, 481325, 138133, 640710, 490009, 488371, 117521, 469389, 592327, 876732, 535976, 888011, 243680, 110645, 889327, 8993, 420331, 722233, 204503, 150737, 160060, 440619, 728772, 744923, 430085, 228729, 294262, 963372, 648944, 249816, 44894, 401002, 325708, 842002, 904787, 110959, 792945, 654146, 821326, 525115, 494889, 816373, 177266, 236629, 80325, 130338, 788743, 638017, 838400, 460207, 725663, 879956, 90694, 790560, 436696, 948268, 797698, 361397, 253980, 335001, 664982, 889386, 505046, 846762, 251786, 687121, 74350, 398606, 870138, 645108, 519978, 370881, 749431, 313737, 827496, 56470, 61067, 682215, 363743, 15435, 303024, 911870, 16373, 299193, 902322, 188056, 685200, 489575, 568668, 609437, 480453, 463539, 419330, 416057, 355858, 37389 ]
990,055
[ 122575, 848870, 551512, 789215, 822167, 961315, 545874, 988726, 804190, 646163, 347727, 440689, 534920, 348306, 432811, 597703, 906753, 661641, 47418, 495404, 665197, 546562, 239064, 382144, 87465, 985232, 680003, 168236, 506444, 467063, 574599, 951834, 646378, 862337, 134991, 583142, 496371, 327191, 976416, 876340, 979976, 774553, 644045, 950643, 121775, 857202, 830336, 574928, 365773, 611180, 24556, 433020, 307980, 850016, 545925, 756045, 155057, 559165, 964551, 80414, 350995, 388750, 133983, 514797, 938101, 919339, 939386, 950651, 671561, 267534, 617711, 49499, 898898, 288287, 233086, 788952, 313344, 666788, 806134, 939853, 204181, 439721, 80082, 208430, 961349, 131410, 896639, 511, 260229, 3852, 45794, 950364, 691210, 618539, 408117, 916704, 531136, 719262, 354354, 648716, 211315, 703674, 184606, 645192, 25574, 341664, 119278, 741493, 442475, 938309, 436475, 261906, 974350, 837474, 932712, 834701, 475871, 953836, 849533, 873983, 377954, 923132, 968966, 430520, 666895, 421411, 703781, 195737, 948800, 538831, 137852, 190485, 974192, 533423, 623579, 263854, 425728, 715538, 167464, 38079, 746194, 440514, 7869, 390064, 481511, 354877, 935617, 533479, 244932, 161912, 181888, 357060, 749159, 352533, 270353, 311092, 884709, 435120, 520052, 4147, 717666, 850911, 523476, 699480, 99036, 274083, 893277, 447727, 985221, 532619, 615180, 913249, 179360, 835720, 956890, 755703, 881287, 761812, 394279, 314861, 166600, 653374, 677289, 279249, 846115, 271877, 986983, 288002, 436795, 261495, 145003, 831994, 570492, 101460, 413852, 669094, 542327, 885851, 590546, 592911, 920963, 55279, 301904, 1971, 882449, 842390, 818689, 197675, 712361, 374789, 607469, 723777, 960388, 878257, 68541, 1591, 720374, 468637, 515661, 502894, 276286, 736698, 677050, 91097, 545588, 965492, 633119, 418338, 51147, 664478, 152506, 231059, 734244, 15788, 886577, 662677, 332291, 6215, 840380, 687943, 596673, 29375, 576698, 512789, 698511, 511164, 257710, 751555, 26325, 217252, 147340, 361097, 110168, 664584, 559701, 261569, 214717, 324105, 809517, 769034, 421642, 515997, 192508, 773401, 303995, 935635, 632241, 192556, 841436, 166786, 789357, 853483, 522870, 646862, 836884, 288697, 37496, 469874, 65309, 406222, 388480, 383629, 668409, 664738, 392872, 460910, 407909, 739848, 346216, 798659, 169833, 506004, 276178, 528136, 282666, 338624, 262067, 788985, 922761, 418715, 723267, 808949, 747118, 892469, 585075, 500457, 360666, 227726, 887861, 159324, 253723, 235710, 175204, 714030, 259450, 966761, 30583, 443584, 83008, 672861, 175895, 24588, 643400, 448944, 465437, 212549, 551920, 393748, 491751, 907717, 618428, 233496, 491992, 113293, 210339, 93328, 156907, 242341, 394194, 519441, 432859, 90802, 241174, 180491, 492950, 168490, 51731, 814266, 616280, 344022, 453293, 547334, 660719, 562601, 846350, 156783, 875577, 92154, 939727, 868623, 408777, 354317, 707870, 485195, 11861, 71061, 721532, 137800, 186051, 740911, 902948, 130807, 242757, 412339, 882124, 99163, 809635, 401341, 102972, 548346, 484780, 702352, 733711, 459623, 115857, 367333, 344271, 6127, 144900, 737289, 715454, 253160, 205567, 776774, 174493, 277490, 876485, 809460, 903033, 930476, 442132, 481542, 114348, 657988, 542974, 974593, 735562, 816392, 598572, 513299, 935236, 968212, 503160, 876140, 611258, 665772, 735827, 326961, 445473, 499907, 733054, 469897, 506912, 305608, 464367, 647501, 439339, 597442, 799410, 203360, 679916, 622150, 487802, 878700, 732876, 149332, 422166, 389738, 268553, 218007, 599491, 799838, 630622, 967894, 108278, 716585, 856912, 159411, 638865, 397259, 774732, 435845, 216511, 168072, 771716, 204317, 97119, 721746, 40188, 353165, 885331, 782516, 609275, 332230, 205795, 371887, 928724, 215782, 345349, 254580, 509989, 699962, 865573, 673189, 501901, 682232, 907905, 910364, 173915, 954437, 212346, 714171, 223385, 84167, 184544, 42375, 216890, 660707, 85230, 338393, 766767, 74269, 482706, 217626, 872792, 194879, 509, 814365, 138876, 165215, 413273, 148470, 737970, 26307, 339462, 894593, 85333, 773019, 791417, 246876, 580139, 729207, 906510, 286089, 304628, 869661, 797922, 628766, 939125, 516456, 845627, 708445, 347246, 352789, 693900, 436991, 951660, 130276, 469630, 177373, 239016, 763892, 233102, 974410, 554040, 89486, 613957, 131212, 868074, 364458, 58853, 117781, 126556, 352511, 156182, 646776, 1431, 129110, 708608, 557141, 548194, 347899, 452367, 94126, 534423, 470074, 176113, 864278, 324341, 702429, 47958, 422485, 269119, 106271, 418429, 601664, 843191, 178465, 756849, 911255, 62191, 569166, 978612, 699404, 16973, 425577, 588528, 109625, 756228, 553982, 737613, 673850, 312586, 785361, 594708, 207931, 958608, 426944, 44263, 656283, 518452, 380188, 678340, 605342, 914109, 880267, 107562, 165076, 600412, 304497, 818629, 754891, 541474, 620099, 540189, 270087, 298004, 467731, 778378, 535852, 424243, 866352, 8076, 299784, 726449, 298008, 616107, 347748, 697653, 690060, 468314, 36985, 931084, 966300, 196071, 269490, 96155, 200538, 702214, 692390, 568102, 756826, 967744, 640883, 706350, 306883, 376419, 761003, 538713, 376176, 503276, 935383, 358744, 947766, 817637, 77028, 882705, 658, 310551, 434782, 190562, 819004, 359993, 865845, 860143, 684011, 904715, 131427, 869460, 279239, 400215, 946105, 265105, 135540, 619795, 381320, 64692, 804739, 846932, 379403, 473838, 936481, 607239, 219042, 824111, 546090, 632656, 261781, 982391, 60036, 15897, 983399, 146662, 366298, 357161, 557981, 859040, 70544, 964693, 172442, 123848, 465142, 58567, 645918, 779469, 966952, 589498, 445751, 65311, 705479, 785943, 708911, 219226, 692537, 153287, 116054, 454367, 922042, 488903, 306018, 83512, 127769, 648185, 880372, 177921, 225343, 604250, 374615, 199310, 244927, 801382, 57064, 532773, 686147, 637525, 950380, 836524, 639804, 382740, 955023, 611177, 340131, 824498, 540671, 950755, 709544, 227784, 942974, 426776, 71570, 155049, 140999, 159897, 133919, 282970, 137321, 898138, 448152, 100619, 166277, 812544, 582225, 697368, 557940, 639907, 576646, 479734, 862571, 847336, 454596, 373507, 470106, 789687, 549599, 277166, 797296, 252521, 837290, 140313, 129733, 614478, 260863, 717135, 129374, 859084, 307001, 895152, 245045, 880407, 628183, 708217, 384551, 716628, 37274, 357013, 930035, 291552, 87353, 984536, 597310, 572483, 662907, 477115, 203732, 448381, 550230, 500859, 627654, 650286, 207133, 394763, 732050, 716396, 884684, 681828, 762150, 16091, 593013, 836300, 10959, 819852, 717489, 802652, 681084, 204226, 267642, 94382, 757987, 842321, 642474, 182702, 776266, 276684, 593399, 170242, 257638, 608103, 196559, 763592, 573458, 379536, 916526, 31754, 232291, 989958, 496908, 552599, 493281, 856281, 678290, 370717, 153427, 501514, 645099, 356346, 184235, 424908, 642936, 912216, 212234, 183167, 292247, 621808, 645609, 396663, 759259, 201854, 936326, 162550, 502000, 887683, 689696, 642324, 390681, 476459, 52159, 166644, 702102, 672655, 49842, 373251, 582196, 660558, 35226, 889833, 143546, 653930, 543012, 705511, 373136, 551893, 228480, 379510, 223572, 766160, 42339, 503718, 204964, 282621, 506866, 897293, 250603, 241419, 729096, 1043, 171099, 125452, 258649, 823874, 31487, 902290, 885179, 747742, 968272, 370417, 168959, 380831, 785248, 355129, 845097, 448295, 590710, 230491, 55778, 209933, 743028, 241639, 655488, 216574, 922046, 837437, 571063, 738495, 345293, 986588, 826307, 679479, 154246, 601371, 63408, 97183, 435332, 699479, 73168, 414413, 625999, 723461, 154193, 986103, 640871, 843520, 37493, 594216, 166126, 225399, 895053, 137719, 137844, 224658, 534442, 959976, 415858, 766980, 487532, 818058, 556834, 170427, 764321, 398111, 506317, 148095, 865647, 108358, 686693, 632860, 400858, 83432, 562623, 459387, 365778, 748243, 899765, 988022, 290189, 291720, 988853, 866648, 223571, 722996, 42661, 806255, 720206, 816661, 946276, 786308, 90522, 544687, 364037, 463007, 51132, 815752, 256501, 571574, 401997, 668426, 785427, 704742, 826416, 267247, 338374 ]
990,056
[ 560961, 630981, 97243, 307358, 477652, 3765, 789379, 886721, 499787, 810117, 372329, 311445, 40891, 835524, 341838, 734256, 176145, 157710, 931391, 588765, 529718, 758842, 583468, 435927, 77838, 714107, 635077, 692631, 896740, 877526, 590547, 948582, 531858, 580789, 713068, 947029, 381119, 73187, 122958, 610333, 959278, 799362, 505336, 329520, 968529, 372927, 665661, 848549, 407026, 659685, 916471, 548753, 348847, 966837, 282740, 600902, 293024, 288728, 859677, 853113, 942131, 43469, 174507, 584407, 428110, 411721, 960041, 688805, 782844, 450363, 887884, 634794, 861567, 288075, 726681, 989542, 615070, 619153, 962798, 836693, 310454, 969887, 717731, 50962, 901484, 347673, 657677, 800924, 714311, 513545, 936808, 188815, 66914, 717827, 505699, 674998, 286747, 849232, 166916, 825521, 576007, 643927, 795863, 758859, 847538, 952651, 702350, 954336, 786245, 441476, 546083, 569802, 753548, 616313, 940025, 677293, 363112, 532032, 517211, 29758, 315205, 456077, 32035, 965745, 491456, 927776, 679109, 202060, 300331, 983405, 273806, 841302, 941863, 477941, 591424, 893999, 450496, 29434, 391658, 53740, 3608, 334312, 845879, 848946, 977017, 19679, 313324, 848554, 68171, 106224, 302045, 832359, 562750, 66482, 628144, 137853, 112229, 140334, 350752, 438149, 432643, 590734, 608251, 215348, 662353, 176557, 384635, 852044, 125357, 150719, 320111, 860949, 63173, 353781, 87000, 846913, 404537, 47690, 396369, 188465, 463545, 225748, 108597, 648165, 719051, 748791, 45464, 933771, 754501, 222228, 174731, 136118, 150266, 903836, 404845, 66350, 163097, 345811, 703161, 656712, 805880, 436827, 211875, 567622, 415216, 225637, 70552, 685975, 21337, 788253, 969453, 300638, 129875, 350309, 563563, 508180, 182169, 154392, 35207, 236946, 221118, 242659, 218873, 655467, 823993, 298356, 193315, 622205, 463586, 774160, 133843, 849396, 24158, 438796, 78010, 969690, 749339, 516059, 298762, 471245, 328593, 339574, 13341, 140906, 269344, 345637, 32789, 657242, 9288, 982568, 37665, 459209, 683687, 291275, 142172, 154207, 128307, 384315, 795613, 910520, 286553, 400913, 914307, 99547, 482433, 635758, 958447, 259062, 202435, 877225, 347765, 779327, 546748, 156670, 567085, 458060, 336857, 8778, 865474, 354723, 829382, 10444, 478939, 742735, 438248, 379227, 121209, 388489, 8263, 801210, 680659, 123450, 34854, 190212, 586241, 384123, 606965, 621357, 368168, 133187, 713143, 634509, 448169, 131468, 657923, 705380, 200657, 419074, 928892, 461001, 679382, 952808, 340057, 947985, 906310, 63395, 955048, 293791, 597452, 41863, 84778, 27912, 497130, 467216, 505118, 308624, 812146, 416258, 978193, 347976, 961530, 96802, 207690, 936885, 885786, 269039, 435283, 138161, 330229, 248499, 49457, 703852, 227707, 107502, 154806, 731096, 690172, 534127, 496431, 256798, 215235, 415412, 449869, 299167, 131182, 466040, 118740, 615527, 83382, 32748, 770280, 70950, 866188, 379665, 716484, 519938, 497004, 443883, 555636, 114960, 752057, 984218, 92686, 647314, 930407, 950650, 320457, 492826, 656508, 945902, 226844, 896284, 18598, 848113, 920912, 815660, 41279, 644722, 364902, 348959, 431600, 273615, 935281, 833115, 924373, 359354, 727218, 324965, 368436, 9936, 958, 575211, 413944, 965695, 476340, 367668, 377641, 550598, 557536, 605383, 48243, 53008, 349322, 684556, 721884, 503090, 446520, 595211, 980358, 617451, 504018, 914789, 410880, 82796, 865660, 104969, 905205, 817263, 371970, 875814, 355076, 304091, 537917, 509272, 488420, 139752, 701082, 175451, 220435, 10038, 89960, 42791, 426918, 889593, 278198, 200462, 471624, 403565, 978442, 554296, 154597, 264902, 25187, 164324, 336557, 468003, 137109, 430805, 685912, 420452, 89505, 331385, 975206, 277871, 808391, 293814, 276084, 8398, 356980, 968353, 648961, 898298, 783342, 608975, 699715, 310643, 984858, 260953, 822930, 406828, 623514, 694061, 187983, 902510, 52042, 369671, 273495, 197628, 760631, 707730, 438601, 932058, 78539, 345665, 946848, 511453, 668082, 747974, 909938, 763574, 919056, 353015, 430097, 438351, 920336, 970964, 382405, 843050, 155527, 411030, 179683, 18680, 170052, 211806, 465666, 179932, 240462, 390488, 574289, 586869, 304668, 272057, 446896, 441400, 599117, 303320, 616684, 341063, 425874, 215967, 748168, 488712, 523246, 500338, 341852, 422586, 581816, 718933, 69049, 311952, 774894, 938058, 532946, 89073, 237971, 114622, 43720, 165295, 518947, 556633, 844368, 965813, 862251, 913355, 508396, 723199, 207170, 899911, 436030, 302681, 975347, 708503, 906263, 141469, 388115, 353193, 460914, 370464, 780922, 367813, 807209, 728256, 430482, 810768, 331742, 91346, 853267, 149111, 199660, 881359, 533181, 6601, 662439, 13411, 971638, 354028, 162860, 119872, 490802, 477950, 707240, 792520, 32439, 950754, 329729, 363613, 128857, 557593, 48379, 210832, 288026, 275105, 310833, 905235, 274088, 463678, 788932, 575736, 456666, 491484, 558579, 752181, 462440, 396502, 533013, 461539, 610530, 672955, 576281, 553842, 27007, 76349, 887401, 726264, 919709, 709640, 678957, 192731, 984739, 164423, 120534, 37554, 516424, 982190, 384456, 354140, 332036, 943882, 628000, 100850, 856957, 878260, 917414, 691236, 546996, 28533, 501260, 743451, 548908, 981794, 164522, 935413, 30616, 966226, 10879, 175321, 800912, 419664, 758553, 880879, 532793, 77225, 371351, 380473, 540608, 956158, 941611, 708800, 385190, 268148, 669388, 516033, 865163, 89904, 491714, 293813, 453864, 851393, 670147, 773205, 127286, 346713, 614808, 64245, 805414, 519367, 840295, 519219, 569683, 363633, 864260, 98074, 828256, 298121, 794431, 972995, 935510, 43733, 369868, 150083, 447961, 901135, 489097, 481356, 582038, 694160, 387415, 33674, 879500, 633136, 276486, 515806, 360885, 64968, 381648, 75753, 698933, 874899, 526550, 73789, 932526, 82727, 722452, 876399, 36947, 392530, 576008, 754209, 733749, 374020, 270947, 586119, 204644, 175465, 874940, 162871, 381315, 841232, 190375, 258572, 816898, 314457, 738013, 315580, 651399, 293063, 254825, 224684, 649641, 143720, 809752, 475071, 774708, 576268, 539090, 817788, 536741, 352391, 548157, 628380, 507601, 315305, 320080, 601532, 252486, 643280, 932891, 593477, 429790, 382350, 338045, 383990, 294422, 156196, 703598, 510260, 281180, 575789, 383862, 291889, 366265, 18534, 230743, 989295, 69781, 904304, 20924, 214978, 139983, 225458, 305082, 3403, 557684, 702455, 869494, 544076, 707068, 544374, 252223, 921548, 797911, 9121, 818965, 488005, 24989, 336478, 755403, 739462, 657041, 718341, 240430, 960468, 213974, 213741, 399919, 776083, 361660, 585429, 901415, 895886, 790843, 8785, 362166, 540058, 226337, 266324, 779028, 148207, 458582, 653293, 55670, 57295, 748584, 901862, 323401, 805635, 563761, 253047, 593238, 855002, 207343, 589854, 825134, 617679, 716350, 800173, 733000, 39378, 119139, 878683, 509537, 627801, 649716, 943872, 764235, 955855, 523978, 417649, 301187, 116539, 618589, 789301, 122230, 238882, 968722, 77254, 771985, 989636, 745520, 322262, 321167, 402869, 720751, 90231, 589473, 663599, 762584, 668443, 195166, 978359, 657457, 687205, 444109, 2208, 277868, 924329, 318921, 541112, 741137, 276611, 634914, 140931, 589343, 709895, 659305, 206237, 176587, 277277, 3466, 459758, 364414, 557794, 983292, 49562, 73183, 557608, 228250, 170315, 864331, 469438, 184418, 954746, 343266, 782667, 784287, 629906, 771202, 190393, 51168, 913345, 73069, 713420, 854689, 842517, 764700, 107468, 867902, 512583, 415135, 802257, 930776, 329965, 247961, 879441, 747004, 235470, 165115, 512504, 427426, 879640, 795451, 651219, 687647, 506916, 415323, 611528, 958546, 765128, 701815, 251449, 285169, 20671, 415402, 47890, 430447, 344976, 43132, 580459, 27762, 135963, 668593, 408670, 750683, 903638, 631979, 538330, 674510, 62680, 322824, 844550, 194816, 828911, 849223, 438311, 846694, 639430, 491404, 916922, 839595, 581910, 68084, 972878, 382602, 801016, 754471, 835134, 974429, 757823, 112812, 15601, 467379, 759288, 135213, 386992, 105324, 420679, 786538, 626061, 576649, 627661 ]
990,057
[ 306626, 259568, 625743, 458150, 971600, 420615, 808139, 266947, 603396, 944269, 421865, 409311, 125605, 345712, 867893, 265112, 455481, 820222, 137198, 78652, 449588, 900805, 736808, 91963, 179260, 223161, 333285, 498712, 724350, 489026, 443372, 311752, 493229, 95388, 422039, 577067, 330973, 797228, 47035, 914877, 445581, 414248, 809197, 288334, 247391, 713351, 87607, 51170, 276402, 58128, 142549, 382221, 529756, 574362, 425357, 542956, 607347, 630253, 818033, 2725, 716516, 93076, 754568, 718535, 124377, 130457, 634319, 658311, 845443, 5934, 400802, 776335, 503032, 846727, 408178, 39387, 36678, 976385, 723464, 308841, 686001, 238306, 971585, 158321, 518674, 167931, 930017, 349976, 809166, 475478, 758367, 211025, 336132, 558289, 152205, 915483, 948982, 156264, 533646, 734710, 7006, 888313, 382056, 507008, 136189, 2096, 263915, 813215, 531961, 533633, 121543, 548198, 408270, 2959, 496220, 377707, 26982, 239982, 632672, 183152, 771157, 471113, 803125, 316947, 762028, 966481, 610038, 556786, 148773, 169283, 346494, 60624, 159332, 384800, 728254, 273918, 131007, 742258, 533864, 711183, 919837, 546522, 499285, 886427, 228224, 648641, 313206, 435583, 722594, 483151, 464614, 909812, 77787, 678070, 356107, 604099, 735634, 238249, 804168, 152307, 24390, 316760, 202834, 285785, 570327, 159050, 925439, 362893, 142806, 353894, 628617, 549676, 747828, 928584, 725556, 582859, 562829, 192476, 350984, 584490, 350826, 775893, 30819, 900297, 729369, 668211, 176546, 645970, 910280, 118031, 303886, 915654, 547428, 356050, 294867, 750264, 410479, 58079, 539327, 190584, 648186, 552861, 247755, 930477, 865054, 354461, 462512, 825150, 946671, 683276, 610132, 457745, 764613, 102413, 811146, 566905, 284776, 709653, 844459, 192130, 426051, 151205, 375276, 861076, 838278, 269359, 712792, 911358, 508140, 886382, 1379, 238648, 314220, 674889, 768624, 249935, 133739, 816577, 338444, 597971, 609745, 6925, 187685, 365026, 103756, 402792, 863431, 295011, 768069, 763884, 396067, 380004, 938439, 815986, 601379, 84550, 219137, 339438, 907232, 369694, 58092, 693594, 421967, 607125, 214107, 897670, 222899, 600867, 325696, 481172, 782949, 924492, 849186, 274707, 100881, 162297, 549276, 636733, 170055, 602315, 900758, 513786, 908128, 450086, 356275, 449306, 225412, 266469, 174739, 739385, 863915, 85875, 231032, 370194, 728054, 933296, 120196, 137731, 131543, 529177, 281452, 536495, 472852, 556460, 933903, 861344, 862619, 16785, 962852, 233699, 560626, 149817, 16748, 195544, 161517, 729621, 657466, 811925, 818741, 901442, 422227, 717595, 418530, 914533, 283270, 958670, 314157, 203284, 34523, 988645, 427182, 242528, 376169, 651995, 525352, 847043, 185744, 167277, 10534, 503214, 121921, 428267, 216372, 376952, 914409, 630679, 803326, 821546, 824650, 462994, 209507, 480206, 4969, 948171, 125661, 731411, 283994, 77076, 914974, 450748, 392720, 621719, 867923, 452568, 309409, 445973, 184555, 649241, 852783, 101266, 609581, 337803, 258759, 513142, 948110, 972407, 15805, 302780, 939649, 777880, 551418, 303642, 212282, 421094, 493387, 121197, 472243, 386408, 480176, 502117, 662268, 120299, 358395, 762955, 724814, 467755, 253448, 974184, 793299, 488006, 437504, 801727, 303539, 51617, 358932, 151920, 755257, 185353, 892276, 522762, 245717, 791313, 274249, 771607, 19696, 898681, 314891, 582300, 217920, 718608, 47495, 611186, 383255, 489184, 917266, 43466, 767877, 86674, 820664, 515487, 2827, 460449, 591418, 371874, 224326, 283036, 564387, 447350, 171105, 804051, 861677, 116030, 281841, 35909, 317951, 488781, 440983, 381473, 813064, 954022, 548553, 128242, 583718, 453628, 309753, 922698, 801592, 599783, 587300, 309132, 763008, 975434, 745872, 937064, 141695, 320169, 814796, 655748, 530380, 939756, 566570, 476679, 84247, 892348, 313821, 372462, 968177, 594832, 541642, 633117, 730228, 179520, 897099, 447452, 880348, 935240, 47679, 120282, 97447, 102373, 569463, 391117, 950082, 972004, 389495, 730946, 68180, 268394, 346354, 390739, 299746, 234027, 232503, 528840, 945352, 391622, 451958, 130893, 774086, 812131, 333875, 326020, 73394, 174909, 674210, 924735, 940640, 797311, 672259, 742680, 148087, 274858, 713916, 608639, 190910, 157542, 695427, 166612, 916040, 937006, 607609, 358499, 330377, 962951, 907628, 394589, 143446, 646567, 504958, 267855, 356067, 224300, 682853, 954250, 210160, 743015, 694364, 836879, 300662, 83099, 38930, 335102, 944326, 166842, 497796, 210121, 22784, 587139, 698268, 956695, 398961, 900610, 371846, 924279, 610104, 261994, 256237, 961125, 423030, 235268, 378693, 737562, 975770, 26900, 950906, 524956, 463473, 572099, 91432, 349883, 194965, 344783, 243825, 818100, 84244, 962671, 768056, 863761, 139058, 642399, 740458, 222117, 115129, 632394, 137743, 204479, 954781, 934298, 955995, 29324, 301648, 539409, 491348, 445329, 243789, 551579, 246725, 756450, 606392, 737068, 429505, 547568, 245123, 599021, 197632, 518754, 71353, 215448, 730735, 445634, 37254, 304198, 261208, 129053, 287362, 665974, 839583, 198875, 522315, 132988, 458170, 915373, 803813, 594782, 625784, 186679, 454349, 843527, 509383, 779260, 295164, 622682, 582507, 302692, 194531, 472360, 976737, 77269, 689143, 589408, 63355, 566376, 796569, 371395, 564430, 479360, 947096, 115925, 754113, 642056, 186834, 548262, 933049, 254495, 667902, 541056, 736023, 598404, 28093, 725550, 613991, 813550, 62049, 338547, 519302, 264462, 944801, 347794, 519132, 915796, 766920, 329084, 983311, 167923, 610426, 253672, 741561, 765871, 719978, 958176, 889815, 726356, 741461, 365602, 728587, 62410, 918099, 589834, 56007, 316061, 364623, 280894, 723609, 805175, 123232, 981243, 540055, 949076, 679037, 791961, 303064, 242651, 121865, 737197, 823398, 844521, 370932, 386890, 146472, 493929, 958461, 490472, 218373, 136009, 188079, 841203, 200967, 521537, 366129, 661498, 186716, 941709, 3230, 674824, 530216, 329779, 932173, 148069, 527172, 250075, 313289, 846700, 638659, 579138, 800209, 476881, 358824, 138729, 980498, 124416, 160572, 804070, 609116, 196112, 337277, 918327, 213285, 725035, 114398, 260351, 38397, 626785, 61937, 597704, 759729, 400484, 927438, 857427, 685049, 23599, 831569, 226184, 169903, 85765, 668773, 545514, 32785, 590655, 130344, 886136, 728524, 948998, 277743, 88805, 591612, 729975, 151537, 459218, 397403, 352581, 326321, 292867, 926244, 42902, 83651, 60070, 769400, 906335, 33285, 102190, 549953, 330245, 180610, 806557, 73628, 401574, 939066, 246726, 738245, 373020, 331464, 771921, 665556, 437817, 979447, 793718, 410217, 726728, 711840, 899550, 123264, 115943, 795878, 806746, 52283, 422843, 503264, 352800, 61306, 765898, 435973, 961621, 326738, 311437, 230455, 834365, 726592, 352964, 258902, 756200, 604740, 819951, 387305, 534367, 206224, 683154, 623139, 608777, 550080, 561840, 430687, 895094, 21849, 470807, 234427, 251035, 665757, 297810, 879405, 657548, 650230, 653129, 189594, 124236, 933272, 30333, 301573, 750428, 595148, 706203, 858301, 457624, 987110, 357126, 933254, 230327, 895217, 639955, 44228, 375764, 744768, 238598, 120618, 951076, 62945, 260349, 780591, 576503, 587604, 471334, 939845, 966677, 429347, 871, 926971, 688261, 648631, 239677, 130799, 431936, 270898, 774603, 779856, 147374, 707067, 859518, 108800, 439320, 108249, 441792, 136385, 212385, 968715, 633438, 157503, 723401, 387067, 858585, 299447, 688139, 653414, 279225, 513082, 815014, 492792, 522862, 320117, 644966, 344603, 71463, 123752, 347732, 64390, 126889, 941470, 302367, 114292, 793321, 987016, 735479, 72602, 635236, 29068, 574271, 183184, 893014, 207486, 203430, 560765, 547772, 805245, 828304, 818469, 267412, 49313, 322634, 85929, 567720, 69918, 308667, 37293, 573929, 61173, 190578, 587077, 889858, 662021, 313171, 729144, 292932, 676375, 703526, 635704, 639762, 315512, 443222, 721143, 555637, 626250, 935136, 406235, 159350, 6120, 428812, 486979, 911274, 8657, 830099, 79234, 824183, 967167, 540602, 245480, 633200, 206493, 234686, 489624, 221718, 327522, 786717 ]
990,058
[ 836298, 187011, 491512, 410524, 213103, 534625, 338751, 147400, 300718, 636126, 322290, 229705, 596327, 897321, 613453, 61722, 144739, 832285, 928598, 644251, 783339, 171739, 88352, 824081, 81686, 805278, 298371, 840720, 344392, 131004, 90822, 947571, 7617, 290615, 306872, 885711, 442492, 861875, 64498, 858100, 556634, 206532, 561217, 977197, 772407, 155648, 584588, 589567, 972349, 224559, 924451, 374642, 859429, 210124, 551609, 689098, 632600, 467531, 241923, 399066, 375447, 922201, 721992, 281571, 411345, 350419, 595530, 626826, 938581, 707729, 80694, 638349, 361999, 494162, 907763, 593513, 201954, 73032, 261400, 10489, 692903, 830194, 347011, 444796, 497455, 194052, 782448, 513572, 734863, 692668, 937055, 621471, 448677, 787803, 572617, 118060, 377338, 672272, 41082, 60259, 131975, 364665, 217747, 570069, 487020, 242531, 232194, 11344, 404369, 474319, 418359, 915248, 910304, 91049, 363593, 605428, 225662, 99922, 256041, 967922, 955082, 354704, 738515, 970520, 668611, 646055, 301010, 27369, 932246, 400291, 629667, 122019, 627700, 484896, 754739, 521771, 884003, 699156, 974540, 328904, 789326, 687577, 939921, 318447, 427353, 243022, 102207, 651253, 297434, 159235, 304565, 152074, 7340, 474634, 854039, 692848, 661472, 491544, 787181, 975175, 56228, 284171, 89994, 444430, 28905, 255635, 52558, 585674, 782271, 115428, 581594, 724052, 241902, 602275, 972378, 872588, 165056, 859396, 567920, 870236, 120770, 384151, 371687, 825231, 224650, 981742, 707121, 145724, 28652, 571226, 470762, 732518, 767050, 414166, 869603, 167257, 260195, 952076, 103426, 54547, 664273, 435158, 139049, 619353, 644465, 540820, 730538, 271274, 201834, 827609, 413692, 988241, 642855, 948525, 630861, 529364, 445231, 101013, 662047, 556729, 80892, 969025, 264122, 743491, 349047, 56681, 396848, 791592, 549010, 461796, 325047, 558588, 385266, 16445, 368875, 71393, 629262, 941455, 51234, 628541, 45193, 985187, 628948, 225381, 891680, 892698, 115288, 845313, 189415, 733152, 714211, 746856, 37791, 112185, 848625, 596762, 778110, 270865, 904149, 119391, 290341, 924918, 96129, 299076, 934648, 749127, 215846, 58251, 109626, 378684, 830946, 835904, 861934, 17106, 357858, 810018, 855303, 13235, 535823, 497985, 281413, 158103, 296088, 913350, 221627, 551230, 429603, 363620, 414483, 134276, 53386, 652511, 684954, 814636, 823981, 982775, 100507, 845849, 688717, 266222, 334097, 479436, 89601, 30898, 760783, 700270, 396458, 14440, 533912, 171755, 849606, 655706, 17085, 321779, 232436, 431265, 251379, 22782, 348064, 566513, 676215, 283715, 367047, 426887, 921788, 968029, 556988, 173027, 829642, 514006, 815230, 378401, 402151, 175940, 365681, 301489, 669476, 396656, 269381, 873527, 139695, 648909, 497326, 120797, 653608, 689191, 789126, 157441, 267217, 420451, 886654, 112444, 418891, 597033, 432165, 922528, 329085, 92862, 252018, 635102, 31329, 628616, 867061, 86400, 918685, 913718, 810888, 611581, 583728, 809328, 819636, 81987, 249363, 271691, 625458, 593187, 932038, 310719, 85384, 712422, 972394, 110952, 576327, 365375, 828653, 346459, 475374, 708915, 210101, 47701, 797412, 259344, 810905, 180128, 74973, 735206, 301109, 16061, 361442, 501609, 425237, 288091, 283127, 703549, 891017, 295728, 278033, 817512, 341214, 695961, 79978, 163703, 854883, 475623, 421712, 570037, 448114, 198149, 864384, 806774, 321955, 161004, 416842, 448913, 133712, 346016, 400399, 177201, 869067, 911215, 844154, 120201, 765120, 783347, 502281, 710885, 106637, 943584, 201031, 363757, 248390, 723112, 709847, 688292, 594368, 930821, 621661, 585331, 862895, 121876, 10399, 851583, 327839, 766744, 254391, 989793, 503722, 469320, 252528, 566056, 683039, 913275, 296069, 43725, 640504, 521176, 163673, 175225, 182397, 541327, 485697, 762466, 607740, 187397, 415484, 942692, 773374, 104712, 845074, 926385, 859848, 399784, 216836, 422462, 434317, 771895, 901959, 390516, 471194, 613426, 310965, 470899, 391500, 652806, 789510, 135448, 287817, 425327, 675239, 756701, 178102, 768202, 889468, 56962, 733024, 166939, 951367, 2553, 447521, 34891, 302099, 604275, 535439, 389808, 325821, 621138, 511233, 883860, 569787, 876544, 772550, 248297, 219363, 4793, 807905, 50752, 694671, 621540, 627166, 742914, 193345, 363375, 792150, 94563, 661613, 638930, 312970, 348658, 928838, 898662, 621456, 75960, 901905, 373340, 604911, 412382, 320007, 948474, 240688, 297734, 753686, 724100, 397631, 683785, 850834, 113004, 147811, 299472, 932875, 834991, 50784, 235664, 176028, 922137, 761910, 474726, 460870, 346620, 326475, 172177, 400116, 443403, 356039, 827630, 688784, 18552, 278661, 463000, 667147, 389921, 646394, 320769, 73232, 448600, 830921, 599902, 561750, 904892, 888364, 454715, 515998, 252727, 407231, 271672, 214957, 409052, 319702, 916582, 636236, 972979, 368349, 103356, 654808, 94362, 374684, 829144, 928193, 842529, 457544, 844892, 307496, 958413, 265942, 874433, 815072, 556769, 317839, 302054, 223590, 811272, 871417, 91420, 418963, 466519, 140993, 405676, 542511, 412855, 183194, 983707, 194018, 723103, 421042, 277009, 446242, 716346, 735875, 331143, 898375, 904099, 806865, 613135, 777160, 770438, 67877, 644049, 403326, 816686, 608916, 946817, 574925, 52626, 932513, 796365, 948838, 655493, 182002, 71005, 846244, 334786, 273544, 437670, 395783, 816287, 933997, 893645, 885009, 839848, 387055, 92445, 303764, 967994, 260871, 751865, 481437, 659926, 626260, 526317, 868980, 450360, 141799, 230343, 926969, 757361, 130245, 473330, 76773, 173740, 371567, 496117, 469049, 853545, 608096, 542237, 747219, 648531, 843084, 882729, 241359, 270897, 624428, 944493, 108243, 718159, 264066, 438963, 341899, 53393, 289884, 528582, 962319, 460833, 698218, 731455, 103127, 799717, 623058, 895246, 925086, 769063, 410967, 497858, 793333, 542343, 622712, 318159, 730420, 79450, 503973, 1065, 513861, 384016, 226330, 12102, 441518, 146273, 790858, 211007, 544321, 231265, 750529, 823295, 580848, 86262, 656887, 50058, 298223, 70845, 955221, 769341, 333980, 169381, 152824, 850697, 374604, 983491, 967653, 801177, 719101, 273945, 971357, 731395, 150244, 555373, 278004, 936704, 597698, 610408, 507541, 831019, 649731, 567211, 216768, 224456, 711548, 392068, 911324, 448442, 440754, 716440, 580561, 488530, 171710, 810737, 415453, 323393, 748414, 776793, 877774, 864916, 437186, 63467, 180143, 397691, 171546, 916222, 584768, 780375, 56626, 187916, 289692, 812436, 805788, 107269, 866458, 913983, 158441, 581150, 148194, 193289, 29795, 818494, 43653, 246519, 10813, 121048, 343223, 891827, 159126, 733119, 87957, 578021, 210411, 397567, 218779, 156653, 507044, 221319, 600775, 239911, 136359, 452644, 673770, 94319, 218616, 366634, 821892, 678710, 448435, 198187, 138404, 724233, 557483, 287142, 468018, 489280, 760051, 503386, 440440, 246366, 142918, 5787, 584000, 702920, 422604, 436844, 574312, 241918, 938929, 709700, 680890, 509004, 771206, 239414, 27138, 798308, 365361, 800977, 828511, 790882, 368302, 379226, 506658, 871319, 659927, 235511, 225636, 142454, 764170, 139387, 855443, 905342, 585348, 55110, 653829, 755418, 714377, 168379, 82822, 757247, 566226, 318000, 468299, 106099, 47778, 165881, 117824, 982593, 913950, 468787, 671543, 534772, 777081, 232579, 214672, 157256, 168920, 749551, 745816, 823965, 202895, 987939, 427571, 946024, 77194, 57164, 968943, 856884, 534549, 100303, 574165, 904389, 763194, 144143, 71181, 78961, 400882, 483987, 128777, 437848, 975272, 577679, 258486, 118801, 59933, 863623, 290112, 589012, 934229, 205163, 561500, 725049, 545546, 952653, 228461, 56446, 12150, 352354, 780459, 309946, 650950, 248478, 836267, 277020, 881447, 236798, 547383, 496075, 33848, 922811, 805513, 872355, 158143, 968556, 586922, 982504, 542630, 407293, 676897, 397415, 831943, 175776, 974308, 276698, 418961, 758716, 717087, 436614, 223773, 404307, 531163, 694881, 614839, 613851, 127893, 428658, 430156, 483158, 226349, 336845, 877340, 725268, 770320, 637245, 611841, 306440, 178065, 816965, 523882, 706202 ]
990,059
[ 319258, 679218, 598699, 906904, 612000, 804794, 849041, 556781, 565249, 523509, 315431, 534538, 397617, 420478, 199122, 283673, 85025, 869246, 912927, 648540, 716826, 726757, 163919, 836834, 232711, 459032, 538272, 718519, 75630, 844878, 507379, 718758, 638548, 299410, 302568, 99285, 231693, 524881, 82636, 960293, 847422, 119712, 523621, 585273, 51815, 230417, 178649, 212847, 692606, 829825, 508722, 334057, 544346, 126241, 814393, 668471, 134707, 830613, 148269, 294733, 84603, 147740, 112748, 959844, 299757, 485728, 212708, 507936, 417465, 348998, 504632, 70046, 971454, 441521, 187360, 755750, 434161, 706967, 406573, 602047, 65590, 472115, 156123, 116958, 133830, 641213, 665276, 316750, 179491, 191281, 808371, 488459, 153728, 877511, 497546, 424144, 774837, 33437, 329152, 363261, 7593, 340781, 47141, 882482, 263992, 509868, 701875, 565389, 568858, 527837, 246894, 341544, 893095, 634134, 813426, 670418, 567633, 869901, 289437, 617171, 652513, 667511, 899087, 6533, 202759, 105187, 424709, 14243, 176190, 174017, 501392, 462423, 239959, 945132, 314254, 361371, 161328, 158656, 213455, 922726, 874534, 828478, 621280, 205570, 365221, 48482, 627161, 442171, 933291, 39385, 859009, 17295, 603690, 675295, 1685, 777975, 727734, 43206, 845959, 625627, 755734, 397277, 967392, 826151, 440716, 73076, 327541, 498783, 125263, 297024, 663989, 228215, 566910, 844311, 723626, 856136, 978184, 196389, 688773, 293373, 361731, 449568, 844093, 977394, 831150, 586809, 959501, 945947, 896344, 259567, 182469, 495128, 687538, 453912, 225808, 213937, 984631, 498195, 926630, 897443, 546960, 954484, 928576, 148771, 408198, 167834, 459595, 868390, 724194, 57651, 185197, 148388, 973407, 301936, 275713, 521735, 453456, 211864, 410839, 946047, 656926, 987103, 638014, 880759, 501026, 96901, 470434, 138253, 100266, 118671, 200045, 292202, 31640, 233168, 701247, 290179, 587484, 201831, 259092, 279108, 6425, 425650, 341419, 701054, 823268, 490674, 244774, 136003, 258232, 945623, 59583, 446986, 376984, 569345, 272854, 480010, 120371, 967928, 185154, 605925, 118704, 505105, 292445, 811153, 202242, 812677, 548340, 394519, 176161, 265721, 498049, 811727, 149259, 305882, 220666, 444928, 25906, 679793, 40938, 862162, 410974, 382059, 481049, 195569, 63898, 131784, 177848, 212968, 700885, 515559, 526494, 289295, 976509, 635130, 762265, 79735, 270067, 244786, 3898, 176825, 154695, 732433, 381923, 189889, 123956, 181426, 968788, 920210, 949400, 939730, 948987, 265824, 374538, 932650, 883979, 546490, 730344, 478217, 379658, 409524, 681350, 94878, 603721, 191736, 174984, 23066, 550475, 220088, 670579, 246592, 526507, 236540, 173421, 470968, 434930, 747322, 210901, 478365, 556021, 175202, 830437, 559172, 437989, 976518, 960927, 682487, 40788, 371583, 168768, 102019, 855831, 216479, 240720, 110123, 228586, 328911, 155354, 891010, 534563, 505338, 372827, 487162, 94634, 299063, 530797, 485999, 553018, 142935, 415432, 941108, 91991, 537221, 152153, 94655, 277045, 211643, 294271, 920111, 194696, 245546, 103817, 301136, 663361, 556280, 935925, 139083, 842860, 400865, 786984, 310206, 8594, 161870, 506648, 511746, 756535, 748767, 760699, 720443, 351077, 414194, 642916, 490952, 753406, 381092, 442312, 288252, 956522, 687849, 301264, 154535, 736762, 961525, 169332, 826095, 525803, 292992, 70089, 69934, 410380, 23530, 217690, 239567, 935484, 801719, 223585, 234252, 18038, 348883, 600712, 622856, 779130, 240351, 508693, 541680, 842175, 353700, 59770, 278205, 789035, 758636, 929907, 23204, 623418, 894666, 507506, 923238, 454225, 777733, 885664, 818657, 395361, 828573, 77050, 847927, 827907, 417315, 738822, 654175, 694940, 354473, 329435, 189431, 642790, 280608, 248223, 649845, 330146, 881641, 911942, 928645, 37669, 274626, 773393, 301869, 884961, 41084, 339674, 134767, 534272, 763408, 900103, 853911, 838840, 411333, 126592, 487136, 198626, 32381, 37718, 339614, 876488, 884276, 291006, 499975, 731382, 274431, 134589, 933109, 591572, 708560, 871581, 327597, 496164, 205101, 50532, 818986, 172768, 136203, 845408, 714536, 641732, 62767, 5930, 146105, 787227, 581689, 537718, 459222, 540118, 143565, 470370, 432231, 407195, 688659, 828109, 621705, 831233, 759208, 302752, 377021, 79561, 769278, 404524, 473889, 699443, 739138, 701111, 329105, 556688, 67148, 197421, 203743, 57424, 636976, 193329, 309813, 916861, 721755, 208418, 659465, 837585, 321749, 785749, 417914, 883332, 979593, 435888, 376198, 420408, 606182, 435844, 901543, 457244, 929838, 633577, 80063, 539766, 284153, 826171, 63677, 928474, 77437, 415883, 307669, 46398, 614518, 762782, 275792, 33498, 663368, 455191, 403248, 880852, 254290, 317770, 532214, 234268, 216054, 965746, 708551, 465428, 417158, 664023, 221983, 292225, 680588, 141388, 391244, 83237, 568012, 425657, 67065, 366841, 152799, 482361, 756709, 709107, 40309, 9616, 549304, 931950, 96756, 715768, 89966, 200890, 235371, 16096, 103884, 969113, 811189, 936854, 203799, 380156, 868561, 525624, 800622, 354386, 662812, 752800, 621804, 2601, 48421, 19574, 458016, 916667, 14661, 738170, 508124, 629382, 596251, 494075, 462995, 146781, 858560, 287495, 553044, 458464, 521823, 845386, 85505, 279081, 142214, 106506, 486027, 652094, 270759, 627031, 271296, 659423, 216576, 816626, 493517, 802612, 832343, 381871, 549332, 939259, 126276, 681198, 973237, 646245, 447135, 526513, 669924, 878687, 850735, 749973, 384514, 670438, 14687, 827631, 713517, 807063, 564049, 199323, 873528, 793702, 413673, 935595, 140678, 843282, 939309, 303373, 681209, 756787, 770263, 186380, 938448, 52250, 27618, 865675, 175967, 712880, 327715, 771331, 345575, 126872, 630854, 106768, 562990, 326290, 489409, 60752, 521254, 350016, 423908, 281097, 28785, 6253, 388881, 526923, 360349, 509729, 192563, 506950, 112757, 730166, 668836, 847305, 239711, 684443, 714818, 795928, 317214, 176657, 380549, 289145, 294189, 977223, 784038, 949103, 195270, 347040, 296624, 566744, 406532, 650408, 140990, 925740, 942442, 679761, 505035, 870931, 108899, 495345, 520713, 466436, 900134, 580615, 68807, 196058, 813162, 876371, 214279, 880202, 456792, 914420, 327193, 6410, 127822, 205105, 212930, 767404, 814629, 169314, 534530, 2803, 214160, 45370, 11351, 728158, 184647, 409995, 957864, 17580, 178170, 566776, 960809, 128359, 548068, 532186, 733956, 443636, 410929, 429862, 922254, 588004, 408392, 955381, 161664, 245131, 684179, 385579, 63240, 147872, 835178, 6448, 636644, 678613, 279448, 221264, 137655, 659614, 371856, 793203, 811249, 109902, 915081, 538274, 758514, 330219, 288658, 481328, 784731, 754041, 19967, 847411, 328044, 507448, 353683, 867805, 353041, 702807, 986989, 267661, 978174, 169901, 625907, 435396, 120486, 896107, 226440, 270774, 94258, 731897, 333667, 655800, 815893, 381350, 482450, 460982, 8729, 873765, 844345, 824333, 507247, 504685, 169820, 766570, 715130, 486057, 872439, 212770, 776079, 424490, 980008, 223031, 172643, 708538, 149160, 664291, 243556, 558053, 735460, 236633, 345481, 518085, 271419, 416366, 820785, 290889, 101372, 693529, 726069, 403140, 310198, 61420, 792906, 600726, 359645, 828301, 867750, 215645, 104129, 666892, 774527, 732323, 328674, 135324, 783257, 715285, 551132, 859946, 908889, 283517, 170591, 381418, 23687, 588195, 908470, 989561, 547863, 850443, 919375, 431438, 99015, 815098, 503808, 459135, 724988, 518805, 417054, 91174, 526787, 766738, 90629, 477448, 461918, 941284, 722696, 118550, 596707, 552391, 426403, 276682, 824675, 731585, 656443, 730880, 848472, 114549, 818220, 745720, 289699, 150991, 186168, 246917, 436287, 272010, 316082, 575710, 304714, 535610, 32348, 972404, 860013, 243656, 563808, 586114, 87076, 366256, 312218, 970076, 387953, 767521, 296934, 317917, 544729, 685646, 255435, 173841, 529362, 491238, 799529, 771713, 565007, 804245, 949672, 689135, 742992, 286085, 694681, 782458, 170052, 784721, 887543, 201105, 310622, 57607, 641103, 59859, 360058, 309678, 354666, 523151, 192522, 913303, 243482, 41228, 694430 ]
990,060
[ 576921, 503240, 184569, 338742, 932552, 146009, 590162, 281710, 816708, 537664, 205882, 111863, 760791, 21623, 228716, 817844, 367328, 811477, 518057, 923266, 271735, 400895, 90833, 274720, 404171, 210583, 917965, 585403, 349788, 725989, 50767, 597082, 794497, 960882, 800054, 245265, 145278, 520515, 223991, 920270, 773223, 249528, 170113, 302054, 391234, 710897, 738402, 653985, 105348, 442105, 688006, 840848, 337733, 356633, 125232, 869148, 503782, 473142, 854315, 91316, 659616, 201994, 788315, 244162, 924394, 549523, 513784, 505490, 806938, 474784, 303385, 457158, 117714, 888286, 471904, 102750, 328184, 855282, 423144, 574474, 647364, 261472, 240660, 941239, 445173, 511537, 855186, 479402, 824580, 969611, 820183, 580957, 355647, 138339, 941047, 270637, 941256, 631017, 454831, 700270, 6351, 626433, 115099, 887752, 21788, 129767, 642634, 108780, 954644, 869978, 348736, 605954, 105597, 721136, 366006, 636544, 442688, 869547, 679268, 89209, 41514, 277182, 335331, 579530, 298635, 463605, 861510, 237968, 522866, 69951, 904499, 144277, 179933, 842369, 965315, 300814, 677562, 958869, 191184, 821844, 316452, 423088, 597645, 562666, 330334, 180195, 103143, 871136, 416717, 23874, 651662, 439258, 203055, 918886, 236039, 39232, 328408, 624963, 18017, 598451, 71776, 446675, 851350, 407518, 866010, 442203, 271843, 568361, 466146, 18333, 228668, 280810, 365245, 461429, 900092, 709824, 101519, 813526, 207122, 744187, 869141, 793181, 897920, 461946, 900392, 830786, 855893, 388199, 942820, 693363, 381096, 911895, 303497, 88158, 575446, 270928, 103291, 105248, 31235, 257761, 50305, 7474, 976628, 312046, 739713, 293442, 638697, 499892, 757301, 476193, 199745, 500512, 870274, 809561, 421102, 949612, 951616, 551219, 555991, 273574, 652564, 728146, 164204, 684334, 976695, 989618, 105542, 560526, 426010, 673735, 55972, 758180, 102688, 918184, 904149, 74529, 491415, 609588, 500836, 458813, 720459, 346255, 195269, 279201, 765734, 211421, 393744, 303870, 339274, 24062, 511500, 514880, 670040, 540649, 908943, 969055, 685952, 53469, 672488, 368374, 936775, 364345, 902506, 494534, 303867, 134117, 831019, 955558, 455330, 369989, 344033, 215360, 680064, 333843, 448283, 117740, 654877, 701104, 977843, 227616, 143741, 508400, 778255, 141661, 124356, 819402, 317988, 10624, 954137, 967132, 848824, 283552, 779029, 695907, 272446, 962448, 241162, 806321, 388839, 1574, 38702, 412974, 653256, 343092, 219251, 79065, 689577, 178129, 383069, 1832, 53733, 908643, 696356, 513861, 491753, 913941, 988702, 531601, 46373, 17833, 886107, 262802, 664865, 318326, 945482, 609160, 722691, 634030, 533062, 10179, 590257, 402835, 469567, 905949, 601917, 193253, 542198, 768824, 393971, 542651, 55512, 565959, 61071, 371890, 401850, 64362, 937339, 214319, 562043, 388133, 907964, 227483, 178700, 405941, 172538, 863952, 621373, 94173, 614254, 667486, 800596, 315650, 61520, 468594, 814818, 687417, 151708, 873991, 585315, 756593, 546530, 353308, 16729, 339779, 526359, 392832, 397898, 949193, 777963, 602433, 652806, 890938, 468184, 578489, 887447, 503989, 940693, 32809, 96652, 840344, 301074, 419092, 646242, 623751, 15848, 682736, 683514, 469111, 468299, 886627, 818407, 697390, 582460, 191082, 683866, 84370, 149575, 194250, 692032, 741900, 25287, 611147, 790975, 864336, 219990, 670385, 668214, 328236, 178389, 875550, 347091, 776887, 443965, 866142, 407670, 577210, 529781, 686020, 372335, 230269, 392839, 683962, 422604, 105485, 228909, 191076, 823169, 934991, 918047, 776669, 624428, 261924, 908145, 636789, 542918, 531597, 840061, 744429, 670399, 763762, 61399, 72568, 500511, 801747, 529012, 638164, 169471, 286703, 156595, 821058, 765998, 76954, 932868, 793184, 463000, 15959, 729950, 398481, 791442, 768926, 526256, 659061, 698954, 594781, 490597, 575758, 98836, 259718, 928820, 839510, 312289, 756494, 719213, 82858, 693126, 71951, 17396, 90059, 926423, 635742, 981099, 259372, 916698, 202236, 944216, 892231, 773898, 320852, 431421, 265657, 371517, 265006, 804332, 170571, 386972, 70031, 647195, 225381, 462182, 547750, 238303, 509739, 756674, 457778, 139470, 11964, 388298, 106669, 201834, 341465, 818732, 755525, 309589, 908435, 560752, 290635, 439073, 195048, 189189, 750560, 868681, 704628, 501718, 454454, 576420, 532882, 199505, 319993, 407123, 36482, 378370, 675024, 92172, 571955, 313266, 677558, 249750, 958938, 395467, 899399, 106274, 742600, 587515, 189031, 42252, 144785, 277167, 186227, 167311, 161563, 29905, 958509, 46395, 200500, 293064, 450004, 920664, 504857, 64870, 912915, 697732, 682138, 837714, 563322, 131430, 380731, 633901, 932925, 229299, 59430, 645833, 707325, 645086, 667299, 477714, 926916, 604779, 163316, 345723, 362292, 830588, 151080, 436900, 802789, 333447, 618295, 650635, 875043, 491289, 630096, 85074, 51861, 68517, 683785, 887702, 471571, 583546, 391331, 80179, 203864, 905957, 690629, 873486, 125101, 431909, 536729, 870523, 31051, 962751, 873555, 328454, 619093, 275813, 672652, 269958, 905981, 401863, 183329, 124086, 653832, 127084, 971004, 287814, 20823, 167772, 143117, 647681, 688693, 928046, 102553, 71161, 976792, 279442, 288880, 373936, 933846, 182907, 976698, 452903, 641772, 941062, 85956, 845873, 367219, 828562, 816327, 421595, 5551, 884834, 128056, 101555, 182890, 947150, 137971, 239929, 542694, 884271, 344242, 502244, 581498, 421874, 928207, 687277, 173437, 3451, 319315, 598225, 228786, 609668, 159729, 497355, 537816, 901407, 823509, 341125, 812396, 659926, 92947, 270365, 871335, 465372, 339117, 897128, 371296, 835386, 962729, 841157, 128413, 450360, 63259, 804411, 574969, 495748, 423981, 454037, 814274, 68870, 190857, 370309, 529106, 342631, 216464, 915388, 687675, 451957, 192001, 775788, 210685, 136186, 118342, 738375, 800597, 647647, 285977, 22431, 840267, 792487, 896749, 836143, 818703, 763181, 735299, 529662, 209939, 924231, 122809, 807170, 808359, 621011, 370290, 592077, 67726, 218940, 244828, 504255, 586592, 118542, 857832, 13514, 342686, 746732, 592307, 642218, 766607, 277741, 468459, 829583, 698920, 312014, 714662, 483423, 517238, 90822, 937145, 827094, 415136, 386370, 628323, 440808, 291452, 697611, 205411, 174341, 89232, 662180, 146828, 965141, 69601, 805597, 236841, 292318, 690028, 380171, 448952, 134846, 826093, 700226, 806378, 160942, 311987, 960110, 94434, 38031, 175210, 633970, 164840, 957823, 10394, 559240, 497163, 373311, 934537, 132042, 583861, 573878, 267363, 917823, 988137, 321505, 203905, 156675, 799344, 786045, 620932, 25765, 662889, 536581, 969819, 806242, 686639, 953669, 155765, 43355, 311358, 39912, 549062, 482451, 793333, 851541, 182616, 269057, 623630, 554252, 20794, 702269, 98669, 97597, 188268, 738356, 354894, 963542, 976608, 663956, 506820, 464630, 526317, 282875, 217412, 325913, 494693, 567164, 335974, 771474, 91415, 271082, 589102, 382820, 666139, 270826, 728347, 292966, 285798, 153514, 492699, 659458, 688085, 639650, 541372, 645484, 387292, 664442, 264262, 275054, 532954, 607116, 326966, 898268, 120639, 885215, 269065, 757247, 866458, 84823, 387462, 779074, 16547, 134275, 395213, 527488, 440721, 416047, 614171, 629984, 869413, 124625, 609843, 434942, 278845, 301690, 813672, 405481, 757415, 94908, 873756, 311166, 422711, 538389, 171313, 937098, 694671, 400882, 314204, 127589, 365232, 75815, 96628, 888485, 330461, 141022, 821489, 85254, 836805, 769509, 643433, 73996, 669162, 14472, 911587, 411346, 622302, 808304, 628271, 153542, 494414, 337417, 967986, 339565, 971388, 176069, 740182, 460403, 741091, 425372, 693907, 732191, 174684, 257876, 815352, 975776, 206041, 672199, 378913, 293364, 314115, 178715, 625523, 866815, 743508, 554053, 489591, 82005, 156187, 35955, 895280, 683463, 835931, 612562, 469345, 104680, 253850, 697701, 642169, 949249, 662505, 250079, 392431, 742306, 665587, 871435, 135073, 192992, 454608, 494598, 495592, 124219, 621415, 93830, 578180, 956948, 517993, 756120, 777117, 819531, 458660, 572114, 297578, 286193, 574319, 73060, 141962 ]
990,061
[ 58740, 638558, 221886, 774254, 854130, 367, 77593, 926976, 469393, 127752, 94077, 798171, 807859, 580174, 729969, 522387, 136170, 959494, 773393, 317247, 288582, 721128, 620803, 504210, 356798, 609271, 338563, 343997, 792236, 884997, 866625, 894863, 104626, 194954, 987391, 135773, 133137, 232710, 203803, 404645, 853690, 285361, 163839, 498752, 936118, 957864, 138579, 428414, 491238, 884067, 352991, 168797, 482958, 486293, 377679, 791578, 174713, 271097, 411447, 547157, 227360, 289182, 857179, 807494, 508040, 353036, 678854, 205499, 237233, 309868, 59859, 735676, 723538, 971779, 45850, 448076, 905452, 149466, 16096, 667655, 525624, 842835, 116247, 227992, 749862, 515841, 849568, 552953, 598778, 111999, 839202, 514356, 828369, 666959, 832022, 595925, 568805, 353791, 611051, 449761, 329262, 59793, 47643, 369464, 488970, 229338, 179741, 947731, 277879, 594127, 426891, 427935, 902274, 627537, 806408, 985778, 429027, 654320, 559146, 345364, 900381, 36293, 385514, 832402, 754041, 923262, 464050, 377953, 35911, 91211, 32869, 31036, 604313, 267329, 544746, 192350, 784156, 448445, 848391, 816626, 677011, 964905, 643573, 281785, 730112, 751774, 100217, 20067, 951319, 361248, 648891, 69216, 319038, 468291, 940053, 735619, 314645, 968471, 261617, 793431, 554722, 390132, 833776, 852847, 411932, 398154, 176642, 984261, 730696, 380156, 228068, 469738, 707465, 440626, 757897, 602085, 29143, 966463, 451810, 680741, 713294, 356969, 703949, 656953, 959174, 569597, 143187, 516278, 819679, 704799, 445547, 681806, 808354, 800250, 174003, 547422, 825940, 748733, 843675, 807712, 411334, 533749, 806000, 291408, 91452, 415710, 660552, 160286, 221252, 320287, 27886, 634226, 647605, 874005, 164292, 372475, 166860, 294492, 15423, 683089, 926180, 64467, 916249, 891226, 427586, 970406, 42092, 243320, 439762, 310380, 503343, 481806, 958140, 936886, 914879, 172400, 741878, 102716, 203510, 513743, 140515, 397229, 90609, 216479, 435347, 817317, 751466, 848282, 593167, 638118, 631227, 531428, 390593, 267472, 651069, 135175, 399110, 988711, 21328, 412655, 878687, 151983, 541895, 489325, 939274, 740844, 8631, 79869, 701515, 233491, 681093, 770182, 498553, 932922, 510303, 276596, 89057, 768260, 47005, 608878, 822053, 257190, 795165, 201175, 756995, 664722, 357694, 418919, 748714, 151165, 451387, 622944, 192856, 985810, 531035, 95907, 457039, 236257, 103077, 380839, 743305, 733607, 582424, 159758, 752460, 812826, 763098, 803126, 625483, 570819, 75410, 407195, 726405, 653810, 610864, 885473, 458006, 788103, 954230, 824931, 925014, 320072, 907360, 702948, 786433, 553984, 345203, 712012, 472889, 694098, 815067, 616149, 618928, 664975, 801580, 582733, 910558, 811993, 123866, 389588, 676298, 460219, 410929, 550385, 415461, 318457, 73541, 577232, 102238, 771844, 309494, 163098, 778626, 356911, 777070, 776314, 842118, 963930, 297586, 248693, 537084, 16561, 157556, 487365, 145595, 619289, 340076, 194039, 870591, 168648, 902761, 555471, 301936, 617368, 830912, 12610, 207606, 630130, 847212, 848457, 304144, 111135, 217166, 799987, 508693, 449539, 748819, 925223, 668096, 683543, 434477, 715953, 43648, 846786, 477961, 324172, 680254, 487893, 266611, 767958, 642152, 963569, 534119, 798349, 564059, 834038, 711936, 711247, 729835, 958929, 352945, 214111, 535610, 39309, 771416, 701789, 376478, 112003, 547351, 799949, 755837, 396031, 852649, 166824, 75379, 112632, 669449, 952184, 737213, 948015, 576215, 571606, 702469, 225188, 708745, 438572, 711884, 415067, 662767, 923799, 895856, 318962, 122089, 767136, 853, 901497, 208901, 803080, 113740, 673645, 379867, 193707, 282709, 185850, 768411, 981149, 79926, 759321, 937477, 168740, 178786, 637801, 551450, 766029, 315372, 752762, 892192, 503476, 455620, 839196, 614138, 865188, 880275, 52012, 289127, 129661, 486881, 775277, 790412, 725799, 720609, 662345, 736286, 85369, 153691, 439092, 448199, 444, 146863, 748343, 175228, 573072, 129957, 405226, 733412, 630525, 882997, 349806, 653120, 468485, 586114, 765896, 390618, 271975, 259934, 67648, 379366, 858494, 897647, 53121, 261141, 708574, 99417, 727701, 21098, 821333, 597699, 727960, 666977, 488187, 836175, 461393, 660024, 255484, 656540, 192632, 487837, 193885, 122289, 185006, 503913, 260879, 270594, 646327, 464833, 721313, 98785, 645219, 988693, 649033, 83204, 850217, 540155, 821820, 523586, 324795, 240351, 155077, 697984, 718059, 131784, 93258, 355933, 491148, 341455, 159528, 497210, 291735, 360058, 831898, 718801, 215471, 394541, 605321, 633104, 554172, 58890, 17295, 109131, 458348, 960456, 213279, 979465, 349330, 435053, 725462, 309474, 147922, 411250, 375794, 689792, 780817, 354048, 631025, 941760, 366544, 482851, 369200, 830028, 645169, 834321, 296968, 355851, 980835, 60756, 90229, 583247, 853925, 489409, 674325, 491248, 883544, 73235, 116017, 462992, 283337, 151596, 195682, 169100, 254799, 823113, 747537, 979593, 657004, 384274, 268915, 150581, 218337, 164868, 138762, 968684, 366256, 181147, 88687, 142481, 167716, 742589, 483954, 165251, 905220, 909073, 556876, 918071, 859224, 47879, 466035, 272870, 169060, 91026, 481962, 402517, 940060, 316382, 330943, 650632, 893474, 743336, 18040, 731780, 627479, 659716, 856225, 421117, 233470, 551775, 17324, 815931, 98083, 75264, 505438, 167273, 341419, 512679, 595424, 22533, 875724, 216769, 233879, 824385, 714261, 856553, 316798, 97362, 267676, 726630, 900294, 898500, 94094, 514220, 675162, 813320, 696582, 620277, 800726, 53245, 719372, 913126, 552260, 776942, 2059, 514196, 770126, 523061, 819312, 828490, 219814, 573087, 141654, 58844, 967949, 157311, 192259, 554356, 725716, 451286, 968021, 121708, 29417, 15154, 152153, 359713, 775469, 385687, 625108, 750803, 729895, 759024, 297634, 781761, 31030, 335169, 588315, 533690, 654879, 557618, 280203, 752957, 484911, 213832, 742678, 314344, 283114, 855767, 925662, 174616, 618781, 392743, 899528, 146143, 829602, 687812, 287760, 693389, 966878, 541947, 47136, 219777, 284451, 404201, 113081, 183209, 886091, 103484, 525803, 328044, 442620, 717137, 691008, 100882, 104510, 750781, 286320, 829185, 133752, 720169, 975530, 407899, 102555, 129151, 578468, 24420, 864663, 631925, 651251, 229148, 248913, 451332, 109627, 333667, 447305, 716519, 756213, 421068, 607286, 875802, 165627, 707472, 598465, 658688, 353007, 174406, 541408, 405730, 190439, 938589, 822083, 107811, 896968, 427423, 478621, 374576, 367598, 672713, 4403, 176161, 726084, 608909, 853494, 640115, 896649, 966435, 495027, 208449, 503980, 464063, 498973, 244984, 961939, 196503, 456015, 511697, 133918, 970772, 397682, 297980, 672296, 750873, 322052, 13597, 413489, 750763, 187768, 419840, 196287, 420233, 324183, 721108, 389989, 32550, 902694, 193151, 714230, 765661, 901799, 573391, 540512, 602462, 659375, 920522, 989570, 921213, 570506, 587160, 815731, 516980, 730880, 392869, 304054, 101530, 853531, 561902, 876041, 784175, 807929, 792002, 828037, 419876, 617836, 706801, 130005, 429846, 597802, 920922, 933608, 820746, 592520, 401251, 118125, 176242, 899542, 327913, 597854, 593231, 872008, 586124, 976300, 796194, 451655, 785277, 180452, 238237, 680827, 54361, 860650, 606899, 307314, 552985, 341002, 921432, 569348, 439013, 540791, 725342, 664291, 545652, 808308, 602047, 693989, 311476, 149733, 181943, 530057, 186892, 762093, 977040, 388004, 803711, 705593, 400887, 629948, 535913, 627007, 960361, 98764, 464562, 77092, 81571, 685883, 216512, 7633, 367745, 44177, 567841, 261009, 435614, 685778, 48320, 856754, 178316, 9839, 890300, 585104, 240839, 777678, 426150, 556541, 575271, 653834, 233613, 114848, 418931, 958260, 578981, 23175, 729454, 176012, 945347, 586923, 405447, 851623, 758648, 246788, 390670, 651276, 669442, 450539, 615820, 237491, 915352, 378358, 365798, 636476, 516117, 567706, 417154, 449725, 712815, 756602, 29443, 46427, 247266, 853273, 843807, 373393, 324674, 985001, 834247, 640110, 206032, 590468, 296453, 427658, 143430, 327573, 652450, 667191, 907536, 128537, 578735, 371082 ]
990,062
[ 979793, 927938, 944389, 847753, 479835, 986518, 326445, 807008, 269557, 89720, 794341, 951174, 656307, 407784, 449327, 752276, 368100, 592155, 850093, 205986, 602836, 501099, 96860, 3726, 436652, 779780, 181662, 42058, 547659, 856064, 426825, 857053, 188026, 492561, 902665, 544631, 510059, 883548, 263062, 239466, 723171, 91665, 821314, 567263, 874024, 134208, 831585, 561319, 11647, 116072, 798428, 800086, 22958, 217256, 809340, 532781, 459878, 787456, 675061, 805839, 50487, 257606, 504355, 883692, 450828, 315229, 468146, 557100, 567567, 896891, 856888, 468373, 249860, 149124, 550559, 927809, 659299, 328794, 270795, 775761, 571218, 898584, 529551, 287724, 110898, 923008, 144784, 396029, 837770, 396541, 701137, 862636, 334077, 836371, 192695, 735210, 570940, 204466, 86013, 172480, 729899, 412340, 609157, 913960, 851846, 158569, 248310, 225678, 856196, 295504, 455248, 306142, 266048, 880761, 854109, 4712, 714979, 494028, 335379, 260738, 299706, 317395, 607646, 36655, 213759, 523473, 753242, 947111, 400744, 562961, 596864, 224138, 144327, 758161, 467401, 105994, 949551, 965400, 319682, 770004, 799219, 270214, 752328, 837237, 311580, 744436, 416259, 581393, 912959, 927528, 488074, 915598, 512578, 948637, 5445, 148169, 8274, 669120, 975857, 889834, 755766, 388168, 669348, 959579, 822125, 471585, 726863, 928059, 82504, 142533, 85474, 440443, 70252, 224366, 90493, 209663, 375254, 248624, 905640, 140504, 240161, 841707, 773652, 314324, 954801, 156564, 587411, 700915, 254987, 447627, 686723, 246488, 199954, 954886, 854893, 232407, 388223, 254037, 922534, 735797, 934105, 711943, 829891, 905597, 892248, 572539, 585975, 337653, 811204, 213930, 621714, 355403, 28620, 626930, 448074, 945658, 3949, 179454, 648022, 633646, 95020, 614808, 881679, 306174, 641409, 509320, 445449, 896988, 702812, 615320, 546988, 884120, 745629, 35881, 558293, 930675, 452997, 596663, 185382, 779065, 725520, 339032, 428172, 62446, 705971, 342531, 518757, 336778, 603156, 553274, 38842, 747473, 654830, 111365, 821726, 155560, 140607, 113280, 188205, 975803, 448147, 649738, 500577, 262707, 989856, 150861, 909646, 411317, 554049, 478169, 91300, 246593, 772451, 44943, 584985, 875725, 266833, 15401, 549830, 172886, 511114, 131306, 510754, 909172, 283537, 660982, 943571, 552796, 983792, 980287, 734161, 750490, 698667, 55450, 982872, 518626, 969913, 102209, 696468, 264507, 563405, 281496, 599583, 608981, 519342, 862261, 871187, 669691, 755817, 176779, 128978, 167869, 394981, 386072, 602351, 770652, 299666, 752486, 16173, 173935, 856878, 515014, 760525, 188774, 511253, 137343, 744268, 146635, 802896, 202078, 573646, 876102, 718781, 682622, 81055, 458029, 178780, 927479, 853878, 44773, 863866, 729154, 57467, 552460, 84981, 32452, 271868, 298815, 877814, 6976, 365278, 532555, 383551, 252152, 329719, 677984, 936887, 668078, 938426, 756161, 814706, 892829, 438337, 898080, 311430, 60287, 975995, 485098, 71407, 479573, 289874, 963878, 614756, 404321, 748149, 614638, 312120, 325377, 77453, 693852, 796215, 819324, 986551, 870702, 539848, 26646, 887018, 255001, 191769, 799323, 347216, 956706, 912514, 840839, 792931, 95498, 236172, 229766, 989465, 526198, 139626, 627141, 152289, 828517, 288032, 482879, 85991, 552975, 33658, 765303, 86281, 135521, 412752, 42150, 288675, 380221, 977471, 191985, 40301, 786444, 609512, 855244, 963955, 326355, 439964, 430718, 643083, 31963, 250661, 215178, 472194, 872013, 844497, 241284, 65771, 555665, 170654, 216115, 135091, 236763, 413058, 52229, 558487, 189022, 566518, 388702, 330096, 577362, 752546, 987597, 326957, 238290, 822893, 738917, 22641, 810280, 42296, 535842, 492858, 594421, 185822, 843415, 99471, 951924, 128233, 370043, 774081, 385647, 32765, 92535, 87126, 472683, 263083, 294919, 404124, 895368, 64564, 174183, 786063, 613715, 756480, 707103, 461362, 97136, 294757, 14558, 482308, 785260, 895474, 50490, 237818, 117625, 829201, 254919, 228571, 925052, 75912, 240214, 563546, 2066, 911261, 585774, 450968, 864668, 291326, 780559, 663592, 55935, 467425, 88487, 116642, 740702, 909798, 382233, 514071, 19581, 411013, 263505, 212744, 564090, 636265, 735749, 67620, 351881, 389438, 297303, 297302, 665121, 986267, 568032, 916710, 730100, 678866, 598923, 663200, 13688, 2281, 870194, 299282, 630965, 615939, 332224, 507827, 681729, 524920, 168610, 385294, 291976, 41727, 833039, 655448, 554438, 80476, 702051, 537746, 128691, 365561, 978534, 326508, 280690, 621401, 375708, 159018, 421839, 829520, 686241, 483039, 442641, 895690, 743179, 235876, 589149, 206790, 425720, 153484, 802286, 82811, 150260, 720759, 791584, 332455, 749707, 334682, 323645, 559783, 624949, 419258, 42404, 445168, 157271, 724357, 323135, 184699, 311771, 765827, 148828, 712816, 229609, 223588, 350759, 374343, 27019, 554404, 840043, 308782, 635843, 6330, 329961, 316244, 928387, 221665, 670238, 114590, 71056, 940396, 685285, 754970, 239108, 79437, 920072, 978400, 97634, 943077, 131824, 184505, 265508, 244758, 403474, 77047, 653588, 522542, 861030, 429276, 130078, 829928, 382070, 36948, 337604, 16717, 206667, 9946, 67186, 311647, 33856, 123924, 89821, 865901, 423210, 195087, 410725, 919614, 692552, 716532, 700304, 525131, 613209, 511073, 850494, 459888, 505907, 687561, 291072, 607200, 922449, 822781, 695909, 905840, 235437, 603394, 477817, 838748, 226324, 650175, 485761, 219066, 666794, 543791, 190672, 549511, 433527, 503066, 188097, 47745, 125388, 456175, 854650, 224508, 970863, 430286, 687660, 263580, 818846, 253117, 774435, 839154, 917235, 903143, 64120, 547626, 403169, 193053, 505529, 456632, 342176, 657925, 528825, 773805, 193423, 626725, 455311, 573498, 91347, 954095, 597822, 862091, 139732, 217153, 298453, 986707, 34766, 735459, 382076, 474861, 916048, 858292, 216162, 651426, 302186, 985007, 566289, 348385, 11619, 23397, 815141, 929814, 375846, 867788, 103637, 524865, 59387, 184808, 701979, 153897, 186832, 502939, 146930, 775551, 950815, 558712, 687039, 858862, 93689, 560051, 440381, 877469, 148622, 632946, 232020, 642141, 215324, 162324, 460500, 252733, 28623, 111735, 989186, 177054, 874041, 259040, 735074, 826585, 505935, 546285, 148471, 301091, 817409, 954181, 451374, 75018, 82666, 588014, 364023, 742915, 933892, 347063, 217652, 523885, 716757, 489988, 480581, 165426, 280067, 615825, 721056, 410788, 310921, 775384, 587812, 477542, 934848, 714799, 128630, 176002, 971941, 663861, 858474, 221220, 892992, 576766, 457396, 114387, 369372, 861571, 599068, 641368, 198313, 480196, 747662, 882241, 37250, 693334, 212700, 811277, 643501, 341792, 942248, 422546, 645106, 516615, 209230, 837211, 168599, 631148, 649844, 418670, 814390, 135805, 631862, 581402, 63247, 470981, 260026, 115012, 495032, 690151, 138518, 309457, 874780, 370668, 92004, 160964, 293340, 932832, 426842, 303600, 597732, 542206, 216369, 897363, 546605, 807086, 840230, 536084, 774209, 700394, 816207, 791805, 239375, 755072, 549832, 519665, 351683, 102018, 276009, 464049, 319300, 849223, 893752, 519024, 757859, 269275, 363439, 635031, 645373, 374047, 988874, 823031, 437032, 358143, 800045, 201917, 767807, 413241, 534722, 265287, 315647, 366138, 497668, 884490, 557492, 501330, 345438, 579636, 390605, 705570, 101557, 301436, 273802, 246149, 398450, 850970, 909153, 857724, 254160, 504563, 555090, 431913, 429314, 619690, 950799, 218442, 834029, 25535, 670530, 183854, 779825, 358434, 307980, 839077, 177910, 549795, 244764, 643351, 335406, 198093, 289967, 730464, 449831, 179802, 760742, 363262, 7960, 186213, 63754, 33446, 160393, 698737, 775721, 778942, 102416, 81191, 144223, 719102, 2438, 506602, 786199, 683807, 859073, 874256, 159323, 735402, 744567, 503654, 698415, 247478, 770954, 11704, 673182, 888048, 312575, 49646, 102650, 179891, 25208, 521164, 741516, 343294, 794368, 702286, 865448, 469827, 32030, 888690, 563720, 961122, 397534, 789132, 978198, 908700, 523241, 76982, 639360, 329738, 679339, 434800, 385529, 780753, 836476, 777759, 148743 ]
990,063
[ 862702, 92239, 426444, 125373, 722027, 150759, 832963, 148643, 521878, 463948, 415397, 678845, 230760, 255946, 42270, 102380, 214969, 574410, 720212, 255614, 985665, 745027, 680277, 243743, 312211, 93013, 93327, 220262, 575388, 25697, 66639, 219958, 130931, 713454, 934002, 104157, 396701, 573920, 809514, 164887, 782652, 904174, 203703, 556631, 667709, 330493, 897010, 661647, 658809, 460166, 440080, 815969, 583415, 284585, 149436, 605604, 788996, 921202, 818783, 113052, 736884, 240712, 258133, 255492, 711795, 886562, 616391, 797514, 581530, 30103, 357138, 624989, 938124, 426543, 817715, 265734, 366016, 722725, 451242, 966464, 974275, 272243, 10201, 412981, 421379, 766409, 757440, 859837, 925807, 211168, 298091, 294381, 954426, 75447, 640290, 33463, 612176, 356660, 850452, 123212, 325865, 190190, 242214, 279694, 761952, 204623, 156697, 867628, 73922, 740379, 213510, 571830, 232892, 313363, 581159, 910701, 855955, 190221, 908687, 807315, 935771, 483130, 832871, 312456, 391525, 640612, 488339, 322120, 775194, 700742, 121880, 308593, 315119, 754618, 661302, 6407, 237371, 552853, 153655, 912604, 886432, 894301, 91233, 573824, 183119, 516695, 871828, 627623, 344622, 672816, 177324, 575258, 815889, 285385, 972283, 680405, 982846, 69890, 196550, 499098, 189779, 520278, 927032, 409475, 440787, 818666, 706871, 146387, 17658, 821308, 294700, 513796, 261907, 254350, 564031, 632956, 872826, 295809, 190862, 399064, 883536, 899915, 479067, 781699, 274217, 95205, 126626, 345401, 275051, 355834, 72583, 376398, 840947, 706355, 540358, 634293, 397001, 423494, 821982, 336436, 713063, 51678, 895954, 551259, 239958, 292555, 379528, 717602, 439192, 636376, 871549, 977794, 821545, 458760, 739699, 941026, 778997, 5819, 945462, 5791, 90263, 76093, 426142, 495698, 860467, 353859, 159396, 306603, 973091, 205047, 953841, 811537, 8294, 128264, 105088, 937278, 824142, 186857, 574114, 967010, 472043, 710080, 829245, 713568, 752848, 408746, 355975, 328259, 373837, 597799, 501589, 479023, 256683, 869634, 218848, 986204, 289858, 518603, 463915, 825298, 458715, 700815, 431170, 784880, 78343, 413647, 108724, 345485, 187260, 941216, 283165, 492439, 380127, 104993, 360297, 365851, 572105, 544607, 492353, 318327, 957915, 724583, 829847, 497018, 327819, 727266, 608080, 749132, 309529, 213976, 610460, 475103, 55842, 253579, 815531, 908040, 855449, 543933, 890876, 776681, 405379, 554863, 948077, 480786, 499326, 627872, 969096, 348950, 336372, 757800, 285876, 563849, 41927, 764, 166739, 499265, 23497, 560707, 636473, 600901, 614038, 322054, 626997, 987881, 686239, 178328, 710555, 52829, 468557, 757589, 334664, 295223, 724145, 117949, 469505, 320996, 621894, 472738, 851230, 14776, 190876, 297107, 522467, 54133, 377881, 670752, 823669, 757947, 641043, 61012, 179799, 26447, 41712, 743138, 372241, 486830, 877134, 279772, 219033, 633140, 341602, 429540, 493980, 408339, 548541, 152206, 979970, 27350, 175489, 676267, 578546, 430719, 222301, 567341, 475266, 298406, 23056, 586593, 799754, 714277, 141727, 282552, 743028, 660055, 72969, 980497, 364608, 382020, 963448, 541033, 613944, 287077, 353048, 43078, 307515, 374677, 623489, 984093, 652156, 32844, 303778, 730759, 335873, 28864, 461789, 962295, 594094, 733043, 228574, 382737, 812560, 83000, 303242, 746619, 661596, 833109, 440763, 156122, 263774, 79789, 2931, 884906, 219250, 343212, 638013, 698043, 225271, 200168, 293954, 217521, 236050, 460825, 855240, 36733, 719766, 87266, 539556, 230912, 667305, 634018, 901154, 551726, 267386, 107377, 712561, 939468, 845479, 129138, 646969, 986152, 605179, 651162, 192930, 312449, 674731, 201821, 685551, 143463, 678454, 549602, 234575, 240068, 3574, 666602, 968611, 117075, 706606, 771634, 51526, 960237, 73962, 464965, 809270, 253658, 683284, 13381, 80044, 450334, 597204, 16252, 918557, 161759, 598402, 837894, 567489, 937086, 786597, 870563, 390472, 408385, 166359, 532766, 782202, 562400, 333482, 894559, 731162, 934109, 1259, 321306, 657262, 420738, 467619, 296724, 724759, 313612, 743252, 244595, 42446, 712131, 958025, 150487, 859381, 503590, 30507, 432259, 385485, 429656, 543604, 132871, 641629, 734213, 51, 447096, 194835, 371134, 121554, 176106, 872807, 556510, 745522, 794742, 979569, 942985, 58142, 672391, 103928, 818131, 78830, 663146, 640362, 691197, 838415, 254313, 92019, 834777, 123930, 432622, 13102, 422726, 424539, 743626, 668379, 558145, 353133, 41018, 380384, 271853, 923613, 499133, 964795, 464537, 470803, 654128, 96724, 86736, 552167, 273074, 64488, 97198, 548612, 558974, 199980, 505307, 53428, 200236, 205046, 370563, 248912, 575510, 723755, 924708, 489045, 406993, 816609, 385033, 840702, 811381, 126500, 713058, 166820, 384561, 865111, 177576, 216873, 418679, 591820, 926216, 49971, 823167, 307665, 288773, 428376, 626864, 914625, 84028, 573467, 3798, 636375, 684496, 895571, 399562, 754661, 799186, 221848, 19843, 980607, 461241, 692842, 138277, 647299, 390692, 236818, 437000, 53331, 41351, 457249, 598078, 382190, 169269, 519161, 620631, 5113, 306720, 943476, 294091, 776561, 209302, 222145, 473115, 415020, 295820, 256276, 597508, 641668, 294811, 375781, 191346, 7643, 516458, 68748, 310999, 332029, 818231, 663913, 888894, 754382, 751652, 640009, 917500, 879535, 44935, 403268, 799876, 210409, 272730, 589284, 300822, 671943, 28583, 808428, 491703, 266968, 801010, 805770, 628724, 309313, 726984, 723083, 280435, 14141, 182553, 440640, 711024, 802549, 727878, 876165, 978594, 957639, 380161, 561512, 554200, 175123, 855334, 504462, 153871, 802011, 163418, 877190, 859329, 855232, 73211, 181987, 271481, 67751, 580992, 492168, 29429, 696792, 627376, 717824, 911902, 196296, 269483, 429865, 347236, 724224, 291431, 226775, 145714, 683354, 591291, 119310, 668964, 519220, 729888, 732238, 102513, 669028, 532720, 60230, 266219, 544220, 141052, 857253, 621688, 456504, 32838, 290439, 815091, 693417, 254815, 5899, 202414, 436432, 514349, 297285, 168926, 450837, 977785, 371890, 739292, 563783, 145193, 607300, 463719, 552018, 352852, 164912, 235142, 559220, 571860, 497371, 352532, 857606, 459147, 43367, 304764, 749341, 356222, 181191, 750613, 165695, 876231, 516728, 5770, 657381, 715905, 472513, 110199, 6996, 90473, 535663, 169210, 130396, 422343, 413791, 600874, 717216, 308939, 984897, 797692, 526977, 412895, 849144, 37571, 544363, 919893, 386441, 633361, 427335, 246600, 607070, 404748, 66428, 124284, 111094, 229436, 143301, 128702, 44417, 817389, 294476, 955641, 655768, 609107, 747665, 541489, 881216, 526875, 762803, 142783, 633681, 230045, 202125, 483096, 785450, 588929, 273246, 894433, 683852, 340912, 134796, 123497, 375655, 127720, 729437, 694616, 256148, 841749, 95277, 401627, 935988, 442280, 646930, 723941, 916754, 500137, 542365, 556002, 388281, 922472, 878268, 294227, 948651, 370065, 228339, 272818, 983964, 923561, 100715, 246899, 129888, 396982, 399375, 225719, 797397, 551380, 802485, 742507, 665519, 823304, 954129, 675003, 511220, 739500, 47765, 201120, 371550, 745891, 983901, 851556, 927151, 10834, 343174, 734970, 283838, 980071, 686327, 17655, 253252, 792695, 786978, 131596, 34296, 981987, 446308, 869235, 543079, 264489, 372381, 164197, 568273, 643893, 933677, 445489, 102910, 394683, 988867, 587572, 420696, 905876, 222062, 15172, 5303, 3544, 675813, 188207, 579433, 375497, 836331, 183497, 114137, 423720, 265999, 920275, 484257, 186248, 386185, 965490, 875792, 519830, 693972, 660981, 766186, 139567, 343398, 393628, 129616, 669772, 744202, 271266, 394171, 933598, 715651, 68307, 515221, 138194, 511440, 585189, 207986, 219919, 309495, 404267, 400528, 864212, 788845, 13967, 812570, 908736, 755149, 769306, 634079, 459715, 716913, 173762, 68116, 369738, 375572, 901643, 378043, 730964, 261591, 826100, 620913, 122486, 808197, 533317, 655394, 158839, 332042, 394476, 407702, 290508, 658509, 569097, 682913, 566531, 477260, 392507, 646545, 50897, 263098, 530703, 494589, 69824, 651897, 603259, 361185, 435816 ]
990,064
[ 635487, 746952, 495401, 852356, 620934, 347065, 555605, 53271, 248045, 665181, 178441, 966331, 805446, 754957, 953055, 753592, 331424, 387929, 911249, 588728, 635330, 334564, 715471, 624027, 74128, 160435, 870022, 389458, 440004, 177225, 180763, 175693, 222092, 307100, 43207, 86047, 347911, 167936, 417184, 762139, 858740, 382797, 356827, 665281, 564513, 510683, 441189, 138858, 780525, 977669, 300865, 193086, 44708, 943159, 18499, 562695, 171526, 198823, 680784, 725978, 845108, 685051, 527671, 548370, 737494, 359259, 981600, 748750, 749250, 358297, 776527, 913002, 27734, 606021, 546049, 981857, 931447, 629726, 793882, 177757, 684318, 625251, 620942, 92163, 142958, 818561, 757052, 501092, 571878, 194608, 225125, 517615, 969975, 360287, 571437, 551033, 218161, 984804, 216073, 121735, 98419, 126635, 839177, 365137, 178529, 964670, 123847, 781651, 61910, 938989, 931546, 42947, 729487, 150924, 729310, 554775, 558516, 313328, 15436, 754765, 336530, 501652, 166845, 196842, 449169, 27557, 376206, 842757, 794250, 644250, 877693, 754368, 47268, 42877, 711116, 304602, 920552, 199389, 125529, 418652, 645090, 969607, 865976, 537955, 784293, 918326, 727208, 363774, 684597, 799715, 587128, 87368, 317017, 96673, 420281, 316437, 100189, 139499, 728964, 211982, 945423, 142122, 533901, 369228, 770949, 305036, 985322, 463612, 624710, 559082, 761138, 172157, 184969, 474357, 840214, 481326, 533851, 259742, 871993, 685589, 836427, 374736, 66351, 364623, 67251, 57582, 323388, 715733, 2096, 813257, 231685, 723851, 102915, 87865, 225278, 719858, 240759, 285242, 739600, 689423, 413596, 518206, 829655, 767687, 720285, 741538, 123569, 32148, 455887, 114136, 858349, 103467, 301147, 794586, 889577, 143440, 727032, 318204, 559720, 737440, 763068, 865917, 396205, 507154, 442052, 78231, 826748, 196403, 941219, 229667, 530173, 704598, 716982, 233854, 503657, 835782, 952177, 558401, 858903, 626445, 312251, 808187, 382663, 622189, 614933, 632800, 557504, 651079, 715301, 661965, 834694, 147480, 920142, 722231, 748382, 580573, 938329, 216047, 480754, 139698, 377645, 67277, 408341, 440205, 181886, 34685, 443660, 770507, 319482, 786859, 301899, 313111, 638113, 6171, 694559, 707356, 725176, 172271, 423192, 49789, 882179, 198110, 342662, 135725, 765396, 206658, 772393, 47514, 267518, 450766, 945544, 899447, 711093, 146530, 488769, 749575, 868430, 678906, 820968, 814862, 929778, 92472, 218533, 57267, 3232, 46892, 746392, 529674, 697788, 105178, 459877, 817584, 353705, 784687, 125074, 951495, 395050, 277236, 626677, 710631, 350847, 243428, 438109, 451653, 91151, 627008, 78865, 946606, 74472, 701657, 297867, 545649, 118606, 563936, 722456, 842712, 252849, 528467, 503566, 608412, 231842, 119191, 28713, 254296, 729122, 600725, 229625, 173406, 871486, 157914, 742179, 260662, 117420, 38841, 276285, 457990, 399811, 864083, 612375, 197737, 604447, 397043, 889920, 99788, 897970, 663840, 540966, 365613, 116669, 177884, 542442, 520702, 143853, 912366, 819470, 922302, 763223, 660798, 418088, 504720, 303886, 46761, 829970, 97651, 568515, 299173, 212887, 681062, 158080, 692799, 176764, 849202, 151597, 874617, 16733, 286996, 445832, 402587, 16907, 550471, 455956, 24661, 466818, 304978, 589678, 447496, 91059, 549857, 963693, 737508, 670650, 624968, 470911, 531791, 38010, 326321, 547951, 685300, 703850, 709112, 453188, 179827, 487233, 917233, 235583, 488096, 690089, 467446, 256141, 2182, 521167, 355735, 605679, 903637, 967886, 223173, 689355, 553490, 345243, 182624, 920884, 198068, 332981, 808390, 281131, 265692, 121818, 417630, 594614, 421363, 675866, 717728, 167058, 85658, 52253, 629309, 161740, 175642, 872131, 323480, 17818, 327643, 471509, 153248, 219776, 573611, 926031, 136917, 79980, 541930, 934732, 540651, 251122, 7586, 242647, 839, 925826, 149744, 448806, 300776, 250764, 353812, 339596, 772975, 179355, 860908, 840461, 169475, 415820, 180735, 469029, 495701, 764627, 36279, 762367, 601334, 792898, 139139, 840944, 276791, 915983, 410186, 400815, 403125, 415629, 368594, 914905, 200019, 768388, 535359, 49615, 427895, 18096, 714559, 253131, 168276, 170875, 613202, 41901, 75359, 757174, 197484, 11236, 664609, 165518, 107224, 648776, 546601, 261215, 836409, 845375, 903302, 539125, 960044, 779092, 471075, 843376, 923681, 831654, 466127, 907808, 119446, 853230, 142929, 40900, 395297, 335000, 200451, 893884, 512526, 359470, 299155, 697649, 705500, 402934, 918358, 243787, 773414, 987075, 736922, 723717, 533315, 170586, 191561, 748822, 391483, 731319, 906628, 76900, 944884, 89613, 860579, 290822, 732520, 280247, 299823, 230300, 548557, 639559, 344879, 905908, 689458, 142581, 53368, 768290, 811281, 263874, 861843, 645889, 535746, 97428, 603375, 596993, 253193, 32906, 16163, 936621, 116928, 447895, 560741, 236457, 367112, 684184, 359679, 396583, 102693, 916963, 955281, 790657, 443254, 917502, 546662, 579332, 842944, 251887, 26494, 133452, 801042, 731433, 22380, 541639, 945124, 460912, 741845, 559686, 650780, 36227, 91089, 220979, 451921, 463391, 810429, 430616, 169345, 32785, 710847, 814143, 385616, 392656, 102858, 827327, 71145, 872244, 444904, 815703, 904159, 808088, 126563, 671101, 533659, 193599, 865875, 801026, 925571, 968914, 835427, 74312, 185366, 62756, 335965, 952831, 977800, 577075, 242109, 147991, 262169, 779365, 455758, 983948, 855462, 91645, 525092, 232871, 476333, 442257, 587765, 668237, 238796, 970045, 357328, 955600, 664755, 523287, 840791, 99332, 395146, 57181, 197351, 384719, 251493, 330571, 513379, 11389, 156567, 500443, 593766, 527547, 490397, 549676, 91407, 775153, 228682, 781287, 640292, 920915, 148212, 242974, 455766, 130045, 825885, 628518, 654142, 971152, 774463, 537500, 653872, 242242, 435473, 233777, 697898, 343507, 298103, 300213, 345902, 728796, 493834, 986403, 260720, 233555, 747879, 344866, 803502, 119520, 284771, 156195, 441497, 231592, 967651, 9628, 782005, 533978, 849806, 568299, 840749, 398436, 819606, 470145, 305136, 612514, 801919, 978525, 281263, 573006, 317245, 251659, 457460, 317612, 33382, 561163, 524255, 980263, 57298, 815812, 639010, 33888, 561445, 298914, 218074, 703538, 848322, 4820, 157895, 680880, 254120, 112885, 91325, 808253, 663597, 627128, 924899, 474085, 705727, 331522, 101104, 925253, 248195, 815977, 422150, 440350, 140824, 487691, 329781, 96895, 691213, 20308, 653397, 956789, 230687, 429035, 163533, 381569, 688460, 621602, 978049, 595360, 628403, 132288, 473106, 727743, 799887, 457981, 731405, 456254, 598268, 81886, 781415, 574946, 448815, 183203, 557384, 424837, 437977, 250972, 378709, 55318, 52318, 829143, 894450, 609581, 233883, 92552, 754095, 209531, 377006, 52679, 941030, 645958, 523844, 333713, 850445, 685803, 477320, 745649, 635003, 338943, 821618, 285372, 794018, 806802, 593538, 693364, 148382, 856278, 435598, 28530, 234778, 330169, 579288, 313040, 733172, 557398, 948643, 205322, 860797, 497883, 850356, 556104, 456248, 656506, 192596, 874393, 216365, 865654, 451737, 430941, 703795, 581727, 862518, 570239, 402560, 775488, 450391, 699875, 203829, 120917, 739768, 236322, 694966, 779562, 289072, 192053, 548208, 749597, 553644, 909468, 426767, 50886, 103534, 768433, 588017, 55580, 118359, 536044, 249314, 982755, 385149, 847762, 604740, 652882, 633838, 64604, 964955, 476824, 683266, 509495, 365815, 89646, 427639, 345912, 654793, 494705, 548423, 971351, 739764, 390924, 76843, 369533, 955584, 963732, 453618, 154014, 464760, 195146, 721795, 813092, 274742, 986765, 677524, 37922, 387627, 863355, 681852, 214373, 704473, 713606, 221206, 38858, 472833, 372837, 81114, 763823, 590512, 339033, 875766, 893308, 191178, 713882, 311352, 96046, 709543, 415265, 935136, 277290, 875554, 851951, 279192, 826403, 74261, 959599, 235535, 730067, 117059, 517135, 934288, 763555, 90053, 590350, 639610, 327586, 363516, 692584, 869687, 7622, 892201, 327020, 75548, 704285, 694781, 665650, 94741, 882739, 936648, 107096, 398124, 528850, 478518, 491692, 467136, 178144, 688704 ]
990,065
[ 538064, 88345, 119245, 152631, 538291, 974820, 245428, 194506, 461664, 490251, 456050, 444535, 792780, 79960, 305707, 435876, 155829, 663773, 777305, 251235, 740039, 854712, 789225, 655077, 862857, 435366, 55068, 700664, 869101, 237699, 914138, 381764, 769176, 389910, 520975, 205483, 624061, 763772, 56111, 59702, 217672, 457240, 578402, 940741, 421090, 437414, 262440, 383055, 919537, 114629, 772336, 431446, 52006, 702204, 688152, 158348, 875395, 801000, 32065, 20414, 632577, 538770, 463844, 880388, 879262, 938664, 380663, 446466, 86074, 545260, 515466, 141570, 520663, 712538, 657825, 174644, 42337, 412615, 211357, 168067, 556215, 210481, 606739, 811239, 875148, 435290, 753230, 145143, 235402, 405373, 372027, 12158, 72972, 657545, 351296, 106947, 284853, 809781, 269676, 673311, 578387, 686491, 427128, 107845, 829708, 21139, 864240, 103068, 349206, 430933, 234755, 945250, 56220, 517783, 407680, 168183, 624130, 275786, 377623, 301506, 265371, 972695, 252843, 516121, 745500, 222359, 294061, 445532, 947206, 444726, 702207, 203290, 311411, 611214, 145015, 384858, 148927, 524293, 656308, 209821, 44780, 648187, 948169, 62174, 354570, 103765, 658588, 67639, 786886, 168364, 685688, 357834, 906928, 638015, 965274, 849673, 624117, 648730, 557793, 693447, 887991, 165722, 843473, 368253, 215901, 711617, 278095, 566171, 21002, 890621, 863487, 10134, 170334, 610383, 823757, 860657, 445747, 528714, 277931, 56360, 252728, 420049, 890861, 348944, 227638, 412236, 23558, 480968, 355385, 162083, 703142, 716432, 252462, 901811, 220649, 614304, 900089, 587801, 636827, 499927, 297588, 861743, 846499, 378680, 427765, 591850, 65334, 888887, 340361, 406520, 702594, 136364, 953999, 338417, 202733, 268177, 941504, 692102, 267337, 641311, 469313, 450134, 168172, 512211, 240382, 34615, 66359, 331952, 339479, 897585, 406635, 333794, 646758, 875898, 561336, 471352, 391203, 904759, 383644, 155525, 750483, 671177, 527297, 607856, 792267, 633270, 274482, 826356, 814090, 809357, 435647, 399165, 835781, 270921, 19562, 403917, 941107, 898201, 512578, 345669, 437577, 315941, 922036, 638582, 573131, 28081, 592040, 903679, 48152, 371047, 841212, 403453, 756311, 474350, 242261, 425158, 387320, 766058, 452400, 669746, 200898, 398905, 329530, 51381, 374044, 197560, 343334, 696798, 924321, 515116, 759113, 452156, 824959, 598667, 487621, 522413, 645474, 517506, 549784, 385343, 915742, 151621, 879034, 45525, 526537, 866953, 367672, 711513, 226728, 96098, 918515, 26569, 367954, 608420, 115364, 797336, 277708, 62542, 531191, 513876, 567142, 32223, 715293, 988675, 411289, 781014, 487741, 366990, 303766, 718597, 779274, 867234, 616714, 701894, 845410, 285870, 67891, 135126, 275285, 723428, 504422, 406938, 922406, 567305, 596566, 577028, 944798, 471255, 386420, 1404, 161970, 554584, 621727, 484193, 489829, 501018, 505662, 389462, 736532, 667935, 284706, 217214, 555046, 65769, 185046, 75842, 388382, 662056, 240485, 948796, 280650, 767025, 353452, 734501, 427496, 901665, 456383, 153461, 179617, 625473, 522069, 659417, 740631, 436831, 204384, 775436, 13759, 354267, 881164, 908272, 985624, 972506, 298744, 884793, 726765, 362016, 321675, 676171, 395864, 949857, 834526, 677521, 870859, 648190, 568688, 245781, 487242, 305316, 346694, 177315, 793956, 318632, 478755, 41903, 908169, 554370, 960752, 246748, 710498, 171486, 775125, 737549, 627791, 911841, 392569, 687592, 125994, 181421, 467099, 657309, 717130, 949957, 45715, 188883, 726697, 82557, 67275, 432409, 94805, 528882, 554574, 265807, 412103, 960004, 367194, 35546, 964041, 794885, 951085, 186627, 958497, 6149, 750418, 369412, 40709, 908241, 668511, 767305, 306650, 719345, 562922, 714590, 122191, 910433, 359386, 848350, 720818, 517614, 452459, 355227, 422007, 243432, 401481, 5976, 698959, 507941, 416946, 182261, 977320, 882438, 644572, 57862, 424614, 25637, 289297, 621103, 677327, 786613, 746202, 207293, 65596, 124115, 836196, 696431, 543351, 729497, 936273, 771733, 798676, 598036, 645281, 487398, 791111, 457526, 800215, 383594, 773683, 134908, 275948, 501227, 706093, 429348, 920612, 48198, 457688, 341837, 80203, 126370, 190849, 674316, 269182, 256400, 665348, 538715, 29964, 165834, 378759, 641675, 64532, 767536, 246693, 665774, 434683, 334412, 348912, 928097, 83024, 99972, 689833, 469472, 820745, 375775, 716015, 866562, 970548, 338815, 711430, 283198, 501294, 570951, 722341, 504613, 194051, 206833, 482106, 387837, 137356, 923475, 318485, 200328, 941289, 168779, 432139, 332139, 759324, 122587, 749483, 231610, 297347, 710143, 963929, 837674, 340161, 701378, 33171, 270855, 514253, 928592, 432285, 92032, 6263, 920920, 693827, 658889, 171243, 907006, 938553, 791386, 802849, 375066, 664686, 64223, 437462, 611425, 197805, 357219, 162940, 794141, 248450, 443819, 233135, 102403, 746375, 666382, 368552, 408751, 522270, 367913, 989377, 401614, 345551, 569353, 802773, 940802, 986719, 654380, 138051, 96202, 578393, 847857, 142533, 141013, 458965, 425139, 170105, 470027, 54700, 280004, 331036, 193606, 246224, 439033, 280523, 448691, 249541, 303824, 691718, 629486, 278533, 353779, 596796, 330602, 663724, 582092, 775053, 151047, 20269, 242236, 976664, 923433, 27197, 102464, 606136, 203926, 529142, 130500, 68085, 461608, 973919, 939022, 885972, 77411, 685008, 470072, 543651, 788721, 338370, 509502, 491983, 855161, 883906, 208395, 416327, 600589, 472696, 943266, 384197, 344533, 425793, 57365, 703707, 207031, 477820, 212747, 428906, 886934, 712338, 565334, 528473, 18510, 102948, 689459, 499125, 967430, 748289, 828380, 912806, 537233, 652391, 608292, 732666, 511643, 915374, 773963, 376446, 154128, 852425, 398459, 128903, 389243, 760513, 861237, 476755, 747026, 507866, 13635, 161754, 261214, 618151, 508135, 793974, 93206, 859020, 677078, 924263, 635179, 516553, 533949, 944037, 612622, 458289, 138693, 113381, 540529, 149488, 381928, 162163, 774648, 832694, 22064, 271545, 736840, 256823, 406402, 535146, 353805, 585462, 574353, 354482, 138533, 119836, 443845, 59549, 285835, 54206, 212132, 657114, 94114, 955181, 195115, 781732, 721229, 813973, 459773, 386488, 64432, 841025, 499628, 506789, 59551, 568884, 469182, 243166, 949346, 511698, 257381, 180386, 667039, 736049, 13979, 402773, 822859, 742990, 485126, 161243, 410609, 64276, 871927, 513454, 648735, 208715, 984225, 745510, 188067, 796996, 196096, 705548, 337139, 539341, 891056, 448970, 962727, 750018, 95929, 259635, 491797, 202032, 936622, 920170, 913074, 874773, 243666, 763624, 132481, 138548, 592246, 873852, 53689, 152390, 559849, 243255, 209323, 633490, 544308, 252531, 207116, 965972, 459708, 94608, 249388, 269669, 809368, 185454, 931394, 512433, 426132, 965594, 170314, 979667, 474381, 409552, 341706, 794038, 381683, 710904, 671993, 586066, 304986, 527335, 929214, 988974, 490373, 99460, 503796, 658643, 763039, 391848, 194687, 26364, 554323, 653337, 318323, 46204, 258684, 119149, 472264, 296948, 895405, 801151, 987271, 418036, 961683, 702470, 562682, 595253, 87424, 278168, 658136, 400329, 825285, 54729, 287491, 501590, 195832, 132629, 680759, 359903, 742385, 620253, 686654, 122910, 247234, 756381, 612756, 590534, 678403, 105956, 662558, 781061, 492627, 274918, 608600, 12567, 949694, 23820, 740186, 725019, 389514, 622108, 234310, 790396, 831645, 81286, 499755, 167812, 966764, 927625, 343361, 451032, 554191, 640161, 956108, 398289, 563355, 479856, 912725, 934743, 123394, 451995, 25717, 914980, 555202, 370983, 426029, 410029, 670203, 489480, 69705, 69078, 16876, 141356, 189502, 814964, 881411, 231270, 260603, 301051, 766620, 956097, 403441, 910051, 710676, 719176, 262892, 233131, 725832, 635722, 711481, 677456, 612417, 54404, 272911, 803088, 273445, 329626, 463094, 725309, 547689, 576924, 231259, 108918, 312043, 180567, 396766, 960989, 365975, 897226, 8711, 885109, 190418, 597653, 632936, 678643, 373799, 410950, 707828, 198195, 370559, 360511, 658690, 695505, 977005, 847674, 30954, 367814, 550608, 433996, 716024, 40675, 754748 ]
990,066
[ 461647, 768806, 281063, 880966, 976059, 930314, 327113, 778258, 862812, 877850, 171459, 827408, 605871, 626184, 590234, 919551, 122408, 50128, 762292, 862296, 869723, 986861, 355730, 95364, 178862, 357324, 544371, 632023, 614030, 277898, 563604, 778959, 525621, 287861, 434893, 609255, 634354, 473634, 238021, 803391, 14313, 233048, 332724, 177678, 547399, 768986, 811570, 637288, 352738, 124448, 989267, 313598, 273047, 114634, 891831, 143868, 251210, 382907, 222108, 870773, 298683, 400596, 148790, 526743, 665773, 462033, 95721, 349278, 838727, 316694, 742659, 564978, 555942, 954712, 250944, 94162, 912434, 895563, 578216, 100923, 934299, 876163, 243782, 139186, 875957, 784997, 501959, 952057, 495049, 327245, 310627, 929718, 552676, 257351, 65259, 751103, 551586, 790583, 449110, 950491, 828794, 792561, 179425, 387686, 921662, 754437, 3853, 20461, 77998, 732909, 510267, 775180, 725149, 207353, 306020, 54859, 773614, 743838, 972777, 442229, 145398, 148336, 208804, 148535, 633707, 576585, 984264, 53246, 219656, 502635, 957499, 698473, 564922, 588579, 575676, 872019, 243503, 645407, 309560, 485930, 599682, 577018, 508609, 748518, 627015, 737299, 246196, 143959, 319562, 646031, 400361, 6207, 629572, 910680, 671021, 680037, 793387, 513, 265592, 245791, 555957, 625303, 792418, 388931, 27238, 152936, 482203, 498057, 74567, 286572, 226032, 282915, 82294, 67742, 439939, 964746, 791726, 268747, 655837, 350508, 394300, 551670, 515914, 780704, 71684, 558512, 573867, 448506, 802400, 352123, 586014, 570266, 826562, 909695, 864992, 830852, 342152, 153957, 884723, 317878, 864154, 79557, 205915, 101948, 364584, 903447, 227688, 957329, 393117, 264469, 156502, 81738, 513878, 727522, 772018, 170037, 171330, 5072, 443692, 747510, 848668, 830569, 179939, 674629, 979506, 175986, 680415, 934892, 255313, 660418, 519233, 697793, 979981, 836229, 816016, 263866, 977374, 981425, 860990, 145940, 378270, 820161, 456590, 216174, 112785, 737024, 812432, 948633, 592370, 949450, 353760, 963458, 849906, 470420, 33885, 484944, 341807, 469103, 528295, 713140, 889279, 782834, 882340, 617302, 129111, 335717, 794032, 819212, 718438, 931211, 389791, 230942, 562726, 980122, 149880, 84872, 498738, 973882, 92571, 279885, 269080, 869305, 423016, 987641, 290351, 584104, 471668, 171878, 211830, 181921, 428317, 618717, 912076, 826338, 914687, 220919, 582943, 429200, 702735, 284700, 650131, 197151, 617123, 10527, 107917, 752099, 600196, 394812, 786258, 877184, 813667, 664209, 702555, 953187, 667636, 716030, 588945, 633899, 321343, 734040, 524278, 145273, 328985, 617776, 500776, 7141, 662832, 903356, 869836, 881925, 499831, 455580, 383779, 108331, 595752, 718090, 226709, 461098, 681678, 142102, 688026, 968028, 251009, 332089, 722712, 496395, 23723, 814898, 194240, 416198, 73633, 117156, 676195, 274676, 22901, 244058, 609523, 786016, 36974, 76924, 924773, 204062, 691887, 399130, 414761, 26496, 351552, 878718, 931352, 528496, 673200, 640087, 1067, 886882, 245334, 787817, 42540, 779887, 350993, 179743, 934585, 908985, 190784, 351954, 406080, 335547, 412211, 614425, 674016, 637938, 807560, 96219, 598848, 112197, 643610, 589071, 581681, 843806, 346772, 362495, 512058, 469497, 410244, 846918, 575444, 462942, 369147, 356681, 334853, 228906, 827902, 492713, 261664, 877273, 549255, 897358, 487804, 936633, 180679, 404209, 723712, 554259, 691242, 213791, 904320, 147914, 985259, 477836, 774529, 354728, 102221, 754366, 504990, 446397, 770363, 659290, 823090, 264937, 267715, 98824, 771315, 809068, 772925, 56738, 179573, 419532, 773165, 513690, 317653, 773341, 531537, 74275, 456592, 67366, 740900, 239837, 668871, 684424, 602176, 183814, 293288, 144387, 739426, 110828, 150478, 606987, 220366, 755104, 530035, 207164, 748656, 81143, 15479, 290798, 906565, 257285, 754874, 726877, 656048, 413959, 904441, 674308, 710025, 959031, 796635, 718132, 709853, 630347, 964302, 696185, 552871, 34311, 363487, 588544, 787582, 611234, 846432, 530011, 196651, 421390, 397065, 802868, 339774, 891763, 314990, 794025, 440396, 463518, 466305, 671503, 732965, 437935, 981729, 952645, 171286, 247707, 385736, 884554, 375165, 262841, 320048, 967228, 201011, 671862, 170302, 452354, 457509, 230115, 382182, 760532, 347109, 72423, 365066, 522628, 770510, 155472, 697725, 698351, 441297, 541695, 232179, 925716, 510220, 522402, 673229, 922312, 385347, 667852, 922031, 471143, 682238, 529908, 950801, 282767, 50838, 776706, 9313, 782945, 239106, 562764, 643419, 759312, 329444, 531596, 974695, 375313, 272811, 473119, 459384, 534398, 730540, 75201, 821174, 104295, 312538, 263187, 176288, 297559, 12512, 486668, 139929, 850280, 877284, 617812, 653387, 2839, 989751, 774602, 123889, 794063, 494068, 965452, 23005, 70212, 908325, 585318, 699457, 452946, 413090, 124089, 417492, 795199, 441948, 606988, 479390, 767258, 412299, 80277, 728003, 987814, 384963, 111046, 456013, 50804, 886693, 941481, 32059, 533952, 397572, 18205, 840583, 971397, 391569, 564915, 642895, 910074, 890324, 268759, 832448, 151653, 31532, 559250, 760407, 680717, 965860, 956652, 28390, 305577, 350646, 704795, 727599, 293837, 253667, 388176, 437423, 453264, 772444, 298298, 775490, 142377, 587853, 232756, 247072, 912883, 898328, 76997, 368561, 921458, 57987, 8999, 208807, 933782, 130827, 676381, 142663, 34887, 119533, 675188, 495802, 958051, 584081, 563865, 827139, 892753, 745999, 11152, 638401, 297651, 40184, 769600, 229397, 583624, 521202, 616418, 359147, 915183, 782143, 375921, 87381, 467627, 109912, 163059, 437151, 535174, 142112, 720162, 310934, 441086, 745489, 555040, 543360, 445959, 616356, 605600, 259942, 986563, 976893, 651508, 884527, 988388, 653718, 504965, 90904, 301189, 923772, 767006, 879986, 473090, 109746, 546129, 124114, 9943, 77969, 632211, 668218, 326004, 292870, 99687, 170117, 282423, 372578, 478585, 67005, 218420, 493863, 344774, 556029, 184649, 833405, 662409, 79820, 375303, 986625, 717618, 181933, 346733, 530088, 122767, 529484, 551100, 636730, 166033, 291214, 273051, 777506, 165414, 363522, 460680, 133987, 208018, 505631, 221818, 353745, 232149, 846330, 601351, 843344, 384921, 706795, 556580, 688368, 766649, 529118, 705338, 219324, 230457, 859966, 875601, 516147, 811752, 127999, 343743, 690828, 519617, 98225, 131620, 585243, 577143, 165726, 315727, 368907, 579171, 743110, 304743, 545564, 161409, 64456, 864770, 189534, 217796, 392914, 685352, 78543, 972177, 398650, 975114, 67189, 67578, 199360, 655190, 186525, 268058, 707367, 201514, 928291, 805097, 951515, 479682, 344903, 352603, 891325, 636001, 341793, 8856, 621853, 914121, 843594, 743978, 291316, 68054, 564669, 861362, 889254, 280679, 350801, 92840, 115795, 904380, 251779, 532118, 248293, 346670, 423840, 501832, 666775, 558790, 857110, 226894, 526949, 722788, 763046, 89971, 181117, 149308, 309085, 649159, 699464, 668863, 70536, 393647, 650037, 740334, 920259, 93302, 344142, 827289, 329492, 710901, 407406, 676016, 236866, 186300, 867644, 973849, 208742, 941175, 736053, 434043, 498351, 137286, 58141, 293255, 167839, 732130, 108040, 702040, 329840, 702465, 778470, 788269, 360393, 651678, 443890, 491490, 166722, 865211, 936479, 965020, 493906, 153760, 789078, 384428, 631703, 530787, 847415, 642166, 391792, 301653, 422779, 61871, 19437, 930474, 480748, 838108, 816161, 220994, 305675, 76696, 77848, 446607, 414155, 274611, 138401, 137235, 614637, 935998, 870128, 721804, 221830, 146696, 435409, 707651, 728420, 466428, 897168, 477262, 346164, 278042, 444695, 173484, 788359, 289999, 49827, 435188, 138540, 625088, 429677, 956963, 985328, 43251, 211131, 279801, 38921, 462967, 824162, 572220, 728055, 899769, 70083, 571264, 113080, 817455, 755616, 313227, 706116, 429406, 94583, 514124, 349834, 670631, 799421, 615159, 335129, 944063, 159817, 191010, 315517, 149289, 930807, 27084, 63923, 891876, 703584, 195708, 91128, 558378, 523562, 303903, 337545, 405486, 458613, 960261, 494312, 551808, 236743, 526785, 139749, 75396, 615432, 874012 ]
990,067
[ 848501, 372707, 196382, 661123, 30465, 230049, 47800, 685944, 58347, 913205, 210070, 217916, 587773, 569327, 300125, 405653, 643916, 646760, 484615, 837859, 757864, 553491, 650539, 783604, 865024, 315810, 330484, 128154, 851529, 874307, 514816, 72307, 693277, 973963, 559417, 909269, 264100, 806464, 802001, 138835, 188142, 554877, 758139, 127299, 828017, 708562, 583655, 608060, 816537, 138053, 817600, 180820, 62719, 568156, 149887, 568501, 107495, 915311, 940840, 649837, 822960, 285113, 516245, 203711, 612968, 852988, 682326, 888650, 751, 658856, 365891, 139181, 204986, 79173, 788926, 949414, 665022, 55944, 985712, 166865, 935165, 151248, 776731, 422525, 441020, 59941, 898921, 543872, 471983, 365474, 206940, 301218, 921270, 424721, 138650, 348641, 46258, 191912, 835295, 824403, 682423, 904010, 755383, 949052, 411476, 404326, 330640, 236761, 917891, 925723, 467441, 768122, 876942, 763616, 896668, 941448, 118134, 313681, 193102, 883630, 273760, 789653, 989808, 24011, 304348, 437196, 313405, 230959, 625536, 906414, 84253, 919034, 972519, 135490, 491635, 756236, 149138, 549493, 205460, 47853, 408784, 506680, 785211, 678567, 810864, 705204, 266768, 889047, 558146, 964812, 308795, 625466, 854929, 437358, 295092, 889254, 291412, 473980, 700903, 212374, 468216, 709516, 583145, 714040, 776516, 662234, 572220, 206090, 436352, 957108, 49843, 751131, 458929, 720466, 420323, 517228, 755483, 468533, 439631, 67596, 973414, 886364, 260648, 791155, 200920, 984762, 628662, 557697, 52125, 589945, 569456, 732553, 540863, 219494, 632353, 19141, 515066, 226080, 553438, 376010, 370163, 967940, 581573, 138824, 805097, 580048, 988191, 503245, 947413, 330523, 316266, 740923, 192279, 846638, 868428, 957413, 55474, 643376, 357533, 413686, 496547, 414231, 662011, 575957, 224109, 398713, 465364, 660492, 500552, 544118, 499432, 534845, 711883, 1792, 945307, 14315, 582931, 561327, 152299, 885652, 86563, 334281, 870108, 965095, 735904, 58574, 825079, 439428, 871153, 984363, 501245, 731927, 474408, 722174, 252473, 13673, 426173, 124621, 554058, 145457, 601486, 671430, 360463, 862522, 462032, 755237, 180282, 900684, 256144, 334954, 790206, 693976, 348738, 263795, 715524, 683029, 523202, 947912, 190469, 968444, 142864, 844038, 449018, 919872, 119986, 935521, 328636, 960371, 225650, 267920, 746979, 565445, 606475, 506376, 298163, 738569, 163824, 172453, 544227, 229344, 76756, 349593, 429193, 679278, 743009, 866179, 356668, 488624, 953203, 118240, 785424, 440877, 917332, 289615, 621952, 566000, 590241, 160262, 497871, 857902, 272623, 344819, 860877, 73869, 14266, 350268, 514460, 273953, 699837, 531082, 281107, 675037, 204387, 444593, 629349, 157929, 932219, 177034, 51076, 552246, 572669, 961949, 836958, 647829, 611632, 58954, 624066, 550036, 987319, 69682, 553222, 505491, 301438, 944675, 293410, 573622, 146122, 910094, 23005, 513162, 121815, 186748, 430199, 349924, 208363, 463918, 786687, 315727, 872497, 494, 252163, 56561, 329492, 381543, 99659, 430278, 8311, 286526, 154353, 762831, 244937, 139783, 522545, 99123, 523003, 547949, 220608, 715310, 56497, 14600, 825267, 415848, 102130, 793375, 326138, 917691, 373400, 878955, 345268, 381093, 448650, 618897, 142905, 816859, 121366, 546622, 61213, 287978, 988187, 490812, 92839, 949831, 569467, 847210, 32909, 251339, 901288, 921624, 487161, 846461, 106942, 19514, 112842, 669843, 807040, 372419, 280533, 789788, 750115, 72793, 442204, 129019, 310236, 174457, 155215, 768521, 273361, 75070, 294043, 765698, 20970, 978705, 461571, 663029, 882205, 880478, 5371, 659798, 560544, 719093, 383599, 252254, 576682, 797663, 622700, 437099, 335014, 769391, 643189, 63462, 809291, 197750, 414169, 158176, 238532, 809342, 734034, 483716, 982788, 500737, 328531, 228425, 669668, 11674, 600388, 92179, 323923, 715078, 968312, 348441, 963612, 873890, 523224, 188236, 153912, 616276, 355920, 354210, 601774, 469765, 872063, 428279, 740699, 19196, 424362, 112011, 101819, 195142, 439697, 843018, 660073, 119100, 415272, 251795, 17947, 393805, 376914, 889802, 715173, 272369, 965005, 710450, 815544, 947253, 134302, 115488, 561646, 806215, 858207, 814035, 984561, 122802, 453742, 221394, 821321, 212526, 822794, 953085, 503403, 37726, 680155, 315702, 638837, 439369, 237970, 888151, 223871, 245560, 672174, 707750, 523562, 207966, 338765, 530759, 72423, 619020, 447136, 653754, 41200, 835654, 562189, 504602, 289885, 341481, 922127, 95556, 955669, 101336, 906041, 208594, 373411, 118380, 23700, 863387, 23387, 827616, 801513, 684392, 865896, 150503, 388553, 357817, 862650, 385382, 427807, 570066, 599744, 394338, 601533, 492603, 909639, 122467, 454679, 676773, 959540, 969215, 626247, 970489, 201893, 658615, 290347, 554917, 213574, 216486, 479356, 161081, 571886, 840583, 859898, 398718, 866065, 562378, 363413, 954339, 958906, 16464, 618253, 463499, 340215, 963969, 411386, 49304, 304957, 74876, 74945, 897468, 327299, 741799, 194375, 642140, 368367, 156849, 556175, 946420, 931588, 587408, 330177, 297927, 414128, 729682, 459429, 458380, 778995, 144468, 69987, 909908, 437316, 724082, 489743, 906468, 111518, 321250, 341071, 736111, 717466, 917882, 353720, 255152, 596389, 598894, 714970, 433080, 568843, 619936, 667942, 56915, 574817, 681954, 699529, 65820, 629699, 706263, 71247, 873411, 154533, 856524, 735243, 621720, 417069, 820541, 679192, 280565, 915874, 633424, 850078, 286013, 945888, 980602, 960261, 234500, 351619, 70262, 479840, 598239, 148697, 662409, 359625, 645528, 49823, 154910, 70612, 645575, 618061, 398652, 111851, 851416, 353484, 975028, 588789, 499547, 624574, 538698, 677806, 601755, 319417, 828155, 555842, 120339, 490742, 284993, 664617, 607981, 860035, 943655, 40408, 210906, 412600, 696156, 137492, 582254, 121023, 795088, 101413, 741435, 722997, 94021, 161226, 461073, 345786, 948486, 768412, 320676, 401031, 563134, 985867, 780288, 725792, 422404, 710657, 141207, 649909, 142594, 821422, 785620, 330076, 616785, 181869, 937240, 50804, 182390, 312595, 743969, 13535, 970600, 392156, 958212, 690346, 982500, 186300, 951832, 840352, 36127, 835568, 523451, 680100, 452738, 666779, 918684, 125184, 662982, 83036, 490945, 210559, 371106, 750691, 323932, 549608, 551933, 955298, 901639, 848273, 672056, 250876, 777466, 881748, 872714, 746086, 771903, 136489, 108620, 498242, 458762, 723712, 507077, 532369, 500442, 863377, 114566, 569550, 404853, 809564, 49827, 621794, 173913, 152662, 407742, 142130, 796786, 305680, 717961, 11540, 562988, 487362, 295439, 62633, 554369, 833396, 71289, 984835, 821623, 383524, 727907, 692709, 900578, 956983, 539695, 191176, 878265, 234557, 369845, 655659, 5949, 892651, 509801, 894122, 566252, 171878, 914969, 614609, 373014, 905331, 984690, 658523, 973060, 717244, 774874, 233915, 688180, 914235, 822839, 928594, 893511, 775605, 226356, 939699, 736232, 144462, 719489, 381342, 74010, 286453, 620515, 215988, 413143, 983220, 815717, 969416, 831597, 698808, 151299, 123021, 701174, 428180, 259558, 395165, 886493, 824775, 308878, 326066, 889204, 527024, 610828, 399233, 368272, 570986, 301846, 615260, 467107, 955373, 293837, 327812, 35712, 599379, 59775, 798771, 43794, 312425, 309650, 884831, 188277, 580428, 518100, 484395, 172457, 416125, 633293, 758094, 949077, 704546, 934129, 812334, 297441, 466806, 888786, 524631, 16572, 620124, 582466, 169613, 949339, 612964, 790199, 565570, 886861, 99039, 592814, 446564, 274518, 263815, 528466, 752691, 394189, 66121, 739691, 652373, 670677, 218431, 247940, 309461, 286512, 469744, 396399, 659154, 457568, 75396, 327390, 347789, 119409, 81655, 314172, 524834, 541695, 12620, 354335, 477004, 666939, 169297, 864503, 347340, 745473, 842791, 614265, 973935, 663153, 591460, 421719, 142532, 794485, 117378, 747592, 526451, 134484, 863863, 578261, 957524, 806761, 676230, 295905, 774294, 366327, 672853, 373567, 684180, 542526, 607307, 61989, 139894, 444671, 886051, 869926, 865162, 365761, 401300, 175881, 183981, 367352, 185127, 276254, 960814, 895156 ]
990,068
[ 762249, 158257, 386888, 912862, 634928, 978387, 212393, 65491, 421770, 273397, 609888, 277799, 949409, 933513, 697226, 701660, 497795, 177397, 572166, 299383, 368810, 322269, 724655, 411753, 189574, 640180, 868230, 342792, 452823, 396303, 247652, 467214, 430050, 977054, 575623, 570874, 602055, 345040, 839569, 346833, 233265, 862260, 873759, 819938, 245220, 143957, 700583, 566659, 771223, 479703, 618900, 381317, 104757, 244298, 534347, 442714, 540040, 765016, 453308, 124464, 463746, 914329, 604370, 455685, 951586, 541036, 88775, 987438, 398585, 756973, 737458, 583122, 509708, 684821, 445829, 350356, 944337, 412812, 813734, 472106, 511414, 681944, 104334, 437990, 825973, 599227, 880489, 86184, 923610, 72054, 977152, 760334, 515492, 818607, 143946, 353002, 890722, 505550, 295479, 797077, 72742, 339375, 908085, 7871, 983788, 216485, 185262, 826590, 282840, 176030, 151246, 338224, 813354, 911987, 381340, 43929, 179676, 132211, 665852, 727281, 955458, 134503, 309577, 820443, 531147, 523982, 452483, 218777, 134227, 521332, 920813, 103524, 154988, 468912, 256850, 363248, 225909, 59356, 207616, 206639, 366612, 543614, 940441, 986464, 110355, 317983, 801352, 551628, 646782, 317748, 519575, 15803, 795067, 198942, 75759, 687859, 458783, 430864, 908324, 369440, 485268, 624304, 415349, 98217, 107653, 58382, 119119, 178149, 683093, 60229, 392651, 413386, 208063, 297411, 244954, 685154, 47243, 240464, 493966, 285346, 625600, 166255, 379191, 862783, 73766, 383681, 628980, 385741, 755825, 666593, 906227, 812308, 342664, 315674, 943769, 869601, 138959, 403526, 544859, 781990, 793357, 758905, 868898, 523378, 699859, 403691, 976209, 199241, 160144, 603208, 395973, 875160, 493592, 750089, 755031, 220367, 104701, 70756, 649486, 335737, 350871, 370492, 836932, 301778, 509444, 255290, 682178, 902852, 53442, 655822, 238752, 362443, 617037, 655880, 769612, 521150, 444021, 693743, 353635, 657190, 479027, 537752, 383629, 186096, 542862, 246506, 212963, 654025, 537968, 434670, 957774, 956802, 840782, 861709, 344967, 374779, 622152, 665678, 654070, 959156, 450228, 729458, 545144, 234881, 869311, 43896, 214979, 924781, 563459, 419234, 640492, 464951, 978634, 87820, 209654, 491685, 932670, 250607, 460692, 365117, 687616, 155043, 196341, 24754, 893594, 824654, 886896, 865784, 386780, 185564, 336603, 452827, 930472, 225787, 691873, 91251, 370744, 546122, 104604, 776389, 246126, 469160, 260078, 859330, 159178, 370171, 110024, 733545, 610166, 659332, 926921, 97828, 741291, 238271, 629476, 877584, 208078, 192292, 10076, 341418, 849285, 237746, 310958, 884756, 907307, 583766, 676786, 369520, 537876, 202264, 945039, 227754, 399092, 526035, 23344, 594876, 663510, 755998, 645427, 689838, 591293, 839654, 493709, 53871, 817073, 337204, 864854, 656746, 641113, 240864, 540195, 538478, 37692, 758378, 157938, 898370, 846857, 848067, 338785, 845491, 900441, 426662, 960841, 933266, 529395, 142803, 397411, 848107, 257458, 406881, 486885, 912644, 534684, 509210, 100335, 246317, 322281, 3977, 579364, 898810, 360401, 421394, 484067, 969830, 629182, 284120, 850529, 261358, 140744, 243085, 531130, 688232, 345222, 283194, 876762, 260094, 901562, 161354, 589411, 391608, 104756, 856115, 796968, 435980, 571420, 470263, 685451, 40513, 113587, 722723, 777959, 965357, 403376, 542217, 903639, 549155, 338590, 765615, 744702, 120814, 986779, 500282, 565098, 16153, 684876, 921050, 709723, 814590, 664030, 628103, 223779, 919826, 709195, 456607, 560480, 473944, 903135, 297293, 891708, 431274, 121187, 426980, 467368, 565816, 218046, 534922, 938222, 445715, 716758, 497306, 164420, 326630, 919452, 659546, 122, 429462, 215625, 117943, 420468, 578309, 915611, 19664, 709041, 452708, 81311, 562699, 534981, 278881, 587123, 227017, 522759, 610932, 652970, 625313, 786698, 62531, 512907, 17636, 954989, 122666, 269553, 452680, 638716, 715989, 13321, 193898, 486362, 513322, 164383, 656087, 903754, 778538, 9568, 776803, 391241, 800740, 475450, 938314, 4174, 459946, 804636, 345164, 486415, 977173, 290220, 630495, 759747, 384664, 381621, 118854, 38245, 388107, 644717, 181960, 446005, 174554, 804914, 469347, 187024, 355722, 612218, 136054, 918272, 875933, 825471, 148484, 285993, 906314, 458259, 541529, 485277, 810383, 345157, 246833, 561613, 805658, 895039, 674715, 592408, 660222, 920758, 630223, 665842, 826369, 11060, 579781, 717569, 586308, 533288, 101145, 782995, 55879, 891689, 105117, 610529, 351698, 266013, 74837, 292348, 888564, 364113, 218784, 366229, 383468, 420101, 491027, 8483, 907713, 784206, 304040, 125984, 629744, 526756, 143535, 828457, 210281, 668229, 260999, 437390, 34031, 166506, 528848, 15296, 340843, 488246, 925673, 101294, 489495, 530928, 606386, 561392, 23819, 517250, 459228, 309355, 488483, 752164, 554533, 887890, 273566, 87007, 984949, 460389, 133023, 738685, 943945, 138648, 720015, 449235, 559342, 75528, 584250, 741358, 629763, 653425, 721608, 448239, 80575, 85902, 673273, 116199, 575895, 123338, 476600, 29639, 295431, 15859, 592003, 745616, 288661, 56874, 380582, 887744, 48303, 840492, 868728, 803456, 533088, 733588, 536309, 268579, 445123, 231517, 336321, 501582, 649934, 410316, 222004, 538808, 780544, 436789, 829157, 720963, 65621, 45250, 208517, 153450, 107191, 403672, 969745, 736833, 421286, 778577, 490660, 64568, 586501, 53140, 44559, 339828, 141289, 835401, 949701, 127884, 70853, 229101, 672484, 905076, 504361, 797669, 369260, 133236, 293851, 519989, 180487, 222286, 679448, 745668, 664004, 202353, 905931, 749297, 533314, 864902, 85991, 928914, 961451, 839366, 662243, 662277, 804333, 587499, 405140, 954514, 793527, 148825, 660640, 561726, 583558, 223406, 528826, 384723, 477130, 289005, 262727, 88842, 692069, 62302, 35031, 84581, 454039, 946923, 442451, 248157, 500705, 866120, 831716, 683631, 728698, 818560, 261029, 209459, 232568, 693636, 173258, 825502, 450288, 681907, 120408, 906598, 370056, 697021, 200728, 724699, 463661, 809448, 918885, 638826, 726837, 862547, 398660, 638281, 231369, 222784, 752477, 982657, 451025, 316818, 489883, 776846, 372894, 145292, 910148, 8208, 109788, 575673, 436299, 240483, 147213, 874342, 117855, 776323, 791395, 102448, 767633, 505191, 683322, 399400, 37914, 381481, 757989, 343607, 747160, 174819, 29163, 157022, 651, 573008, 425812, 507597, 496460, 762015, 907675, 357, 172832, 482595, 239716, 857133, 396422, 199580, 625631, 767039, 111068, 261218, 724509, 509070, 231898, 490830, 460036, 724048, 906110, 769324, 945161, 187189, 481009, 634902, 19564, 836503, 260098, 591108, 961881, 901972, 908675, 49535, 258490, 325679, 746135, 113611, 584552, 488241, 723408, 985245, 221851, 254157, 774628, 136952, 371993, 758309, 978194, 404110, 73580, 59757, 487035, 724717, 912759, 369619, 483845, 771153, 155301, 972916, 20996, 400271, 938230, 972175, 432719, 297349, 357142, 24834, 514526, 655529, 153839, 861, 268975, 896286, 893949, 813144, 346811, 559112, 881241, 811257, 284280, 328751, 715323, 908350, 936776, 828354, 869959, 21749, 674536, 860903, 979535, 242892, 638435, 386142, 905460, 115150, 319996, 185533, 193868, 953208, 51235, 826546, 147225, 704568, 899247, 456553, 96365, 548037, 884988, 645822, 578839, 473743, 383136, 941597, 370076, 750610, 967274, 181059, 293758, 190727, 639500, 867629, 212908, 618764, 814346, 630068, 686289, 275525, 358678, 757139, 511794, 536721, 890676, 974147, 571768, 348222, 538743, 28975, 18445, 376101, 706916, 345608, 295352, 451321, 550578, 667738, 521303, 571505, 354436, 489507, 736554, 631963, 762244, 209062, 850233, 539229, 388129, 756638, 478559, 880996, 107154, 314137, 192427, 898988, 681111, 328666, 88357, 177185, 563757, 400761, 493094, 95376, 173855, 196913, 918829, 82362, 376992, 321346, 508798, 809914, 365073, 792691, 767322, 210229, 606060, 351996, 320209, 758372, 319438, 786709, 180989, 633628, 88623, 64391, 168672, 922123, 17194, 913210, 621667, 577003, 308758, 607159, 471654, 518037, 420887, 242575, 42572, 262257, 427055, 106642, 577409 ]
990,069
[ 676791, 715861, 744880, 381819, 954188, 1989, 179109, 702786, 273800, 227589, 583556, 957917, 53102, 968666, 97347, 207196, 272620, 9433, 585266, 220945, 952654, 208401, 250049, 547500, 30737, 12072, 286638, 599534, 83059, 253021, 719764, 358984, 662930, 962886, 899653, 563433, 822948, 441470, 639257, 138859, 821800, 221469, 331654, 173076, 735921, 930800, 633168, 118643, 141074, 55617, 659822, 602241, 224343, 297016, 168227, 326579, 235755, 926293, 419322, 431696, 39571, 555953, 37490, 703373, 26911, 534762, 819248, 755285, 444017, 308194, 642853, 360467, 167384, 220511, 86386, 385811, 438966, 541692, 441863, 377990, 101254, 120714, 852929, 74599, 958156, 897907, 482279, 675191, 121733, 744954, 868971, 58764, 427595, 642787, 477338, 685945, 276135, 353385, 577541, 199840, 884551, 657123, 800122, 39898, 740865, 111828, 476430, 943126, 811124, 236601, 582206, 195307, 139119, 978296, 314772, 906098, 359499, 146338, 567003, 36869, 675533, 295118, 171527, 39609, 187566, 585494, 395090, 793872, 780852, 879897, 77983, 550938, 257231, 370780, 941635, 338323, 340382, 228055, 331199, 392936, 953313, 968586, 505657, 893622, 95432, 167072, 138128, 539112, 226496, 697067, 386465, 930498, 803843, 641000, 666418, 793748, 622994, 861794, 193772, 158172, 774777, 629867, 893809, 3535, 210867, 819576, 589142, 53534, 290469, 921234, 646703, 683839, 572232, 97580, 466401, 86910, 306984, 674413, 827529, 843052, 834775, 644989, 124888, 414315, 1011, 310022, 757192, 808414, 78312, 346472, 904408, 668957, 820974, 53342, 460781, 362274, 693658, 73721, 107043, 443744, 26130, 324343, 718448, 810413, 203224, 666560, 93286, 377347, 98439, 589835, 900185, 555120, 749772, 225243, 965276, 338662, 609374, 403413, 955845, 92972, 518350, 117043, 961679, 272460, 111569, 267078, 128348, 491073, 804807, 948812, 610821, 320167, 871262, 187282, 940981, 582730, 712715, 191155, 242814, 127121, 699978, 982307, 452174, 289613, 695063, 248632, 83649, 60020, 884022, 575304, 378336, 977643, 421077, 536907, 116465, 525979, 234074, 194494, 319626, 664150, 370806, 574212, 916059, 932150, 864153, 257528, 142471, 127925, 785878, 191170, 312840, 324602, 241600, 337918, 277438, 290083, 887661, 131163, 80780, 423873, 777958, 249628, 367652, 451658, 585387, 267014, 934421, 52773, 377334, 832261, 336750, 277297, 646634, 936375, 246359, 500441, 288422, 23838, 918481, 119470, 76339, 455418, 934722, 945286, 588864, 857087, 338237, 426242, 628737, 439975, 241398, 130429, 180243, 685111, 978169, 707406, 762542, 199252, 887128, 869813, 304211, 111010, 276291, 216328, 116275, 29441, 365692, 290621, 499616, 73348, 467943, 637540, 65455, 632995, 439891, 426950, 926025, 132246, 736058, 355036, 706159, 326826, 176037, 749941, 930455, 620620, 853765, 739183, 522303, 841637, 187621, 776890, 233521, 394277, 866199, 427581, 538345, 471698, 961483, 472092, 144511, 465657, 309296, 125914, 398578, 506005, 57989, 818372, 608574, 635269, 171230, 53285, 769269, 366931, 637866, 783028, 22384, 489999, 834706, 157229, 58651, 416409, 206837, 644917, 269191, 501072, 220299, 300435, 836030, 479381, 9927, 191211, 238644, 920792, 739407, 451647, 986786, 109341, 930964, 968688, 501827, 107721, 59691, 762161, 94764, 806792, 215582, 479446, 377281, 405439, 909930, 74193, 94775, 31196, 222534, 463603, 552277, 707955, 698231, 781166, 507032, 384241, 551763, 238929, 691202, 41482, 102188, 613500, 554448, 765830, 483228, 128296, 78871, 14874, 634602, 851294, 729091, 73414, 675938, 807492, 797369, 218181, 439982, 167726, 790928, 165010, 744386, 768627, 63096, 248133, 727102, 456664, 948817, 690966, 683034, 201573, 490030, 950465, 853391, 691097, 988931, 970531, 235308, 4194, 861469, 118928, 145801, 211555, 72991, 231887, 268785, 962740, 217065, 153585, 319162, 202687, 28965, 82637, 576732, 925701, 63702, 37221, 106128, 860495, 903667, 713499, 921814, 588634, 781244, 822857, 877991, 547040, 913813, 35685, 319200, 276930, 102996, 698390, 941732, 241492, 969341, 942033, 813914, 548899, 852808, 309195, 807522, 810939, 178180, 626511, 11259, 329007, 464270, 902100, 445306, 675485, 699648, 222745, 393017, 231309, 650809, 456145, 917469, 73109, 954640, 442437, 492309, 643494, 977024, 672097, 579909, 521154, 563006, 607217, 952864, 106636, 376924, 846430, 617443, 644599, 725129, 957640, 943376, 731074, 205260, 631609, 191121, 757365, 841694, 507189, 30476, 691193, 649649, 780745, 753838, 107241, 615202, 862692, 791915, 299853, 464311, 476025, 618324, 701846, 75922, 471002, 523931, 394414, 146980, 965566, 898894, 53332, 1944, 465353, 864157, 387271, 81216, 429336, 670999, 78916, 512306, 733753, 220505, 989336, 227885, 202315, 209450, 279946, 902067, 1249, 77631, 105163, 468415, 637743, 462649, 767402, 206216, 754399, 463989, 771048, 861216, 286700, 900855, 51455, 570354, 701641, 767480, 697764, 822922, 808741, 78062, 426908, 522412, 243939, 83523, 840334, 499425, 28963, 269355, 241533, 728171, 980203, 197891, 253345, 64613, 520294, 751345, 654511, 88276, 238278, 486542, 758159, 80810, 216949, 68458, 888704, 668275, 378617, 463273, 28598, 138036, 178119, 246088, 261377, 406274, 794548, 677063, 860258, 804570, 65586, 93737, 416563, 638092, 375082, 331168, 232181, 241141, 627526, 433581, 94276, 508430, 498102, 158426, 377622, 847702, 914823, 66948, 807665, 454235, 78524, 880648, 699965, 867198, 498254, 297049, 706897, 296467, 807398, 312337, 449768, 853302, 39386, 939544, 260231, 14922, 966926, 131746, 741129, 706541, 828264, 941114, 393652, 797947, 727368, 870841, 285419, 658512, 273643, 178334, 340798, 943837, 295361, 411788, 612561, 421520, 581628, 512437, 297534, 558635, 838414, 86384, 764910, 873313, 450523, 417032, 667239, 356381, 624442, 536258, 733638, 958669, 181280, 185628, 972144, 463886, 961204, 643860, 782777, 331860, 754601, 622253, 637155, 186547, 107574, 252614, 144296, 716574, 271757, 733015, 848329, 953125, 137240, 196077, 475908, 357042, 242291, 291911, 556482, 388688, 585013, 52189, 376244, 70384, 429304, 877351, 387207, 374266, 519331, 800377, 152338, 666562, 238554, 712828, 14228, 807908, 126407, 234342, 769586, 939574, 504824, 837483, 851939, 30071, 525103, 372482, 955961, 329572, 85381, 281330, 138862, 80022, 664813, 361998, 251767, 516598, 385817, 243386, 952245, 724289, 107906, 79687, 294055, 119479, 138947, 322004, 218451, 82078, 302599, 604926, 179886, 367368, 227916, 119003, 773047, 712717, 327728, 302567, 741318, 910507, 354305, 189079, 631034, 384801, 236744, 881179, 791600, 46379, 569313, 517930, 482487, 555937, 184306, 476437, 331261, 163146, 865294, 161056, 897515, 245357, 12726, 933452, 673359, 587731, 383075, 443467, 16046, 145640, 362718, 795750, 228210, 593219, 424655, 497776, 271285, 921278, 24780, 164089, 904830, 867984, 799582, 764408, 285190, 459053, 858502, 499408, 607731, 840786, 736982, 4662, 687202, 809221, 567218, 654558, 712977, 97639, 324187, 773346, 236806, 602247, 824523, 350278, 36915, 258410, 468070, 347877, 858445, 957529, 45141, 58436, 326109, 280189, 448167, 693044, 954747, 811978, 910864, 270610, 633036, 845672, 593650, 843222, 122713, 400732, 670106, 436564, 595893, 146800, 636513, 331549, 428260, 288707, 598947, 452105, 540513, 966217, 242933, 743824, 308798, 588343, 941967, 793368, 24304, 921140, 639670, 566879, 127652, 438956, 312087, 233290, 663404, 375323, 493433, 208268, 124269, 695789, 826368, 524059, 159193, 97879, 429491, 143262, 114306, 404455, 117643, 277440, 781941, 164589, 723159, 853377, 242356, 340007, 93096, 423068, 344091, 349513, 810101, 602235, 939250, 466118, 901413, 909697, 816726, 355477, 709887, 287267, 918931, 268344, 14473, 413148, 928318, 632254, 13363, 616055, 386753, 464424, 534825, 617371, 416640, 811334, 164839, 531294, 47280, 669902, 154633, 212058, 279800, 29818, 632169, 424955, 294095, 629499, 731616, 334743, 253229, 692093, 579040, 178093, 341236, 132754, 237345, 384632, 678139, 559491, 665141, 809634, 203273, 112648, 451483, 263390, 747054 ]
990,070
[ 80911, 422144, 106951, 556904, 920921, 208623, 358747, 503930, 699642, 950961, 65106, 727490, 312010, 150887, 473774, 675080, 518672, 219087, 364475, 155840, 778058, 264329, 231724, 541839, 772971, 67303, 551305, 615476, 135708, 980182, 223986, 81112, 207746, 925078, 527865, 610413, 735322, 47295, 418391, 850821, 345233, 391852, 756487, 15986, 408217, 109256, 677342, 574152, 273155, 42003, 639478, 976344, 747578, 578076, 161858, 402506, 780400, 378089, 1466, 976132, 378876, 265185, 955435, 845037, 659840, 765666, 626928, 645842, 465319, 117370, 898487, 15107, 508898, 658067, 836858, 273905, 15594, 35568, 747261, 620019, 432577, 891771, 604402, 795458, 145513, 561166, 583218, 507202, 789452, 388348, 243815, 153403, 504093, 101601, 477294, 358215, 9887, 615002, 740312, 731715, 829733, 712198, 707890, 936241, 955549, 759592, 324678, 447451, 704422, 825469, 93839, 100499, 882234, 173542, 84820, 641251, 274874, 95989, 846126, 363649, 607604, 41316, 740424, 450821, 617303, 989955, 820475, 579014, 370758, 879991, 36356, 576349, 153039, 532810, 801596, 737612, 138491, 173987, 723664, 407804, 853526, 143902, 841516, 157611, 534181, 42603, 604367, 797017, 231761, 541482, 387301, 975117, 782500, 262021, 496306, 728522, 167087, 931663, 953223, 763779, 71661, 683209, 131371, 605758, 804440, 444397, 58680, 207003, 565704, 500766, 629610, 429512, 415316, 280145, 381770, 372032, 16689, 458256, 124458, 228590, 91119, 778035, 668053, 502866, 901279, 170016, 234519, 451687, 735532, 242764, 655776, 597886, 684715, 315181, 281168, 339239, 702048, 453617, 823401, 226952, 405884, 369653, 910005, 880094, 63604, 225912, 195942, 628909, 888902, 671838, 2600, 369651, 459606, 290000, 206138, 435622, 411240, 778908, 320549, 248646, 503057, 617488, 790606, 321057, 130105, 354847, 79950, 753018, 155839, 179132, 304178, 14338, 512770, 171833, 704985, 877993, 726979, 55667, 527796, 580837, 148799, 685797, 225237, 859489, 364709, 279049, 166934, 648790, 375846, 799709, 854556, 547646, 297052, 80634, 421013, 822045, 97204, 922231, 504263, 11463, 989048, 398770, 236642, 133541, 792064, 235186, 360815, 570101, 329991, 217800, 766866, 690340, 120729, 548565, 848741, 732649, 668045, 83310, 123774, 822916, 184053, 134459, 186824, 719197, 783238, 356721, 86537, 803732, 158260, 947219, 7150, 941408, 595846, 391068, 158582, 943375, 328822, 233609, 834509, 380509, 577895, 780379, 200084, 188601, 898412, 545089, 505322, 942719, 438175, 434799, 2395, 940313, 178944, 548953, 348968, 789683, 946975, 218243, 901213, 277734, 944759, 929469, 645224, 107771, 98910, 258103, 109489, 432534, 168575, 21259, 135401, 146508, 700537, 67730, 904267, 696029, 616367, 251397, 88845, 83725, 984484, 157972, 146312, 630795, 102955, 655288, 400135, 466483, 663427, 467803, 207421, 278937, 781919, 857845, 751111, 367154, 733752, 293437, 674218, 87491, 778433, 683616, 397891, 349954, 679932, 77004, 615912, 516811, 181189, 608113, 234798, 58129, 412204, 700869, 24850, 393890, 307398, 87389, 255231, 263861, 242950, 827511, 249210, 144089, 738072, 124579, 283588, 652292, 297851, 294285, 771824, 923926, 171455, 790691, 555653, 306553, 189435, 3992, 121353, 911047, 667069, 281707, 602912, 716014, 209587, 488553, 851101, 49756, 544721, 698178, 121297, 585782, 488945, 858077, 141126, 441086, 319740, 295987, 240236, 122948, 799817, 857582, 855526, 503374, 597805, 236882, 860807, 398348, 759917, 41987, 654246, 169262, 552795, 449343, 792853, 305408, 555864, 246630, 386738, 250916, 670458, 501255, 413467, 690885, 455472, 569585, 468430, 122813, 373785, 217640, 104718, 223158, 495510, 438523, 273920, 383902, 137927, 136290, 846087, 214390, 472582, 70717, 136714, 870493, 363422, 935311, 964288, 291115, 636596, 440414, 984662, 498852, 764374, 753833, 257570, 810699, 712031, 132940, 10594, 179402, 477533, 924690, 886202, 419072, 184401, 740238, 330808, 506773, 544965, 64542, 675952, 929917, 83581, 587972, 65362, 477928, 594617, 613608, 953748, 126562, 610592, 707294, 865898, 735669, 640298, 789781, 520183, 106749, 620321, 194956, 284854, 281676, 39635, 200184, 698013, 619079, 459777, 83778, 508768, 287632, 57266, 435486, 454853, 286450, 750835, 898746, 336454, 800258, 575023, 316802, 695685, 421028, 769686, 104026, 242788, 140510, 396612, 819601, 959013, 599614, 125469, 134063, 63713, 26461, 763793, 624265, 248024, 518901, 740261, 137339, 736111, 302118, 154998, 800968, 781610, 171402, 709775, 355135, 90154, 757465, 905153, 558033, 97379, 769002, 904238, 698018, 594963, 461599, 260136, 883065, 595191, 618523, 780630, 19029, 842567, 351484, 420328, 518098, 49875, 316739, 114798, 558150, 799272, 18518, 901516, 894613, 601709, 200586, 364624, 924835, 515032, 820522, 645989, 491805, 719377, 456055, 481867, 170695, 69774, 499817, 617658, 755924, 408281, 528904, 806859, 625450, 396657, 353987, 984372, 567373, 868923, 970155, 39553, 454815, 933850, 403991, 683604, 247378, 400129, 405741, 449767, 692687, 561487, 199616, 728245, 414236, 37144, 517795, 424564, 689161, 22473, 703407, 546663, 49522, 808349, 842847, 68255, 54789, 589201, 216174, 668348, 205556, 118736, 962059, 393579, 594320, 927819, 207154, 776893, 23383, 944802, 651782, 830464, 14145, 202968, 725926, 417125, 376341, 301251, 831725, 760108, 894568, 619786, 411342, 969705, 777743, 324725, 504178, 784773, 647848, 544774, 900216, 847723, 30839, 643321, 945900, 464729, 334672, 32922, 845887, 982517, 950663, 41172, 897890, 901792, 612861, 25217, 33113, 138239, 637887, 815349, 3624, 633575, 729892, 376687, 582931, 976088, 393854, 601143, 920729, 831346, 573880, 593001, 851492, 977114, 544506, 391198, 865985, 592809, 317456, 231285, 759882, 566742, 274343, 124482, 485550, 65937, 914287, 271748, 436510, 479225, 388312, 625464, 640656, 724519, 899602, 47468, 775785, 674970, 799726, 92453, 841783, 56501, 11505, 229813, 420729, 141719, 176964, 268010, 434292, 707143, 877663, 601310, 593448, 908884, 126945, 794858, 640312, 906786, 438538, 506353, 247135, 745994, 764692, 212685, 462801, 291188, 507270, 740826, 967498, 129581, 49874, 968362, 135897, 267173, 953938, 141593, 502030, 904047, 940936, 313570, 645866, 56522, 711097, 523475, 986408, 931181, 935919, 885058, 236778, 221810, 579868, 759029, 578250, 84984, 419532, 652431, 323795, 453887, 511611, 217094, 61853, 690921, 697517, 524390, 765762, 76463, 141259, 171722, 320098, 59604, 52206, 524045, 881100, 276148, 24275, 925039, 234273, 68851, 116921, 106756, 113484, 754828, 298024, 534117, 848520, 602603, 617588, 749700, 134772, 802324, 314617, 652594, 856963, 362544, 862091, 700877, 726596, 888054, 540511, 743947, 213379, 837365, 604320, 902194, 64717, 668852, 257200, 789130, 955773, 839618, 413685, 218261, 301624, 49301, 193273, 753862, 254509, 931782, 747184, 3621, 700047, 938988, 812339, 869774, 30296, 583279, 592461, 434032, 200745, 369713, 502512, 491149, 89540, 188698, 869726, 342397, 932437, 622655, 24346, 320742, 651269, 223819, 710158, 706547, 7513, 832362, 746026, 711440, 484483, 735856, 404504, 13879, 684351, 924883, 882596, 359596, 20431, 828453, 839719, 292549, 344116, 794027, 272769, 62245, 227187, 893868, 541876, 775355, 465082, 834492, 801086, 72352, 581462, 489647, 726809, 838316, 508827, 750763, 802819, 746992, 688242, 809580, 527478, 913304, 928804, 601438, 570487, 104369, 784228, 92176, 432376, 451008, 867356, 981152, 588545, 869917, 722263, 676068, 788091, 70111, 948105, 507991, 668150, 843686, 392025, 565546, 139194, 120968, 519094, 248338, 247553, 370045, 87614, 864478, 687897, 208966, 679743, 268777, 567094, 600478, 562218, 307436, 697425, 355108, 499458, 818615, 79928, 3215, 301082, 659624, 98973, 439860, 209497, 54001, 7529, 489329, 232664, 934396, 849415, 534280, 767711, 566404, 429429, 529994, 447017, 836497, 580603, 776265, 938739, 814806, 373331, 980575, 115338, 37449, 798100, 327487, 880198, 272533, 620763, 457461, 860142, 566134, 56757, 554972, 505852, 538784, 986425, 44615, 828213 ]
990,071
[ 409885, 142792, 553330, 424164, 201320, 7156, 982185, 977563, 39431, 380458, 178871, 796477, 787808, 181665, 697267, 72881, 364729, 955220, 852504, 83482, 61850, 799983, 382887, 376092, 216966, 90145, 260571, 235148, 79853, 683621, 105472, 792997, 177835, 392627, 362797, 314549, 826641, 753528, 201465, 973278, 988547, 389780, 747995, 921262, 465547, 731105, 589641, 374159, 808401, 461104, 981914, 673312, 73946, 315704, 645397, 631455, 280092, 379893, 636843, 803065, 573444, 693133, 897302, 383697, 648587, 518912, 240594, 129077, 224517, 134576, 118841, 651438, 633956, 843747, 580173, 628173, 532489, 176086, 909851, 624793, 658377, 35699, 796078, 962195, 593449, 105103, 144373, 664404, 482178, 194714, 1361, 88968, 515349, 787231, 663793, 791181, 299270, 174830, 588464, 965410, 656103, 228450, 429967, 339690, 258067, 435502, 569193, 471207, 127053, 612908, 428938, 485436, 505993, 433286, 631150, 773745, 926989, 126579, 553083, 42389, 113493, 741007, 216050, 160416, 632191, 549428, 932264, 491465, 516872, 464950, 261365, 957179, 622207, 588919, 811807, 509128, 379828, 961033, 85130, 343101, 815932, 977750, 31698, 53505, 416982, 544188, 870115, 481460, 936686, 160069, 603298, 48909, 839839, 976165, 557202, 122909, 91958, 533811, 865097, 613874, 744727, 268567, 673170, 624737, 368529, 422618, 848780, 23118, 946767, 254662, 768815, 399042, 721417, 771300, 904640, 225692, 197911, 331942, 461064, 237286, 591714, 659685, 559208, 425687, 588505, 377508, 366123, 972644, 85392, 254397, 174552, 411528, 291044, 488450, 492977, 180445, 695790, 732180, 338649, 979883, 310660, 884132, 234308, 93565, 783549, 241875, 948735, 954498, 761503, 889741, 914710, 694380, 921137, 634372, 140333, 481164, 634680, 307007, 821718, 907511, 832318, 832969, 615725, 806603, 737621, 873418, 98130, 56730, 495666, 476308, 794094, 217974, 565703, 559831, 782200, 975372, 450251, 13556, 263502, 277446, 766747, 927811, 649643, 380186, 754677, 716000, 690496, 613560, 904504, 816842, 56113, 614754, 427186, 87736, 481004, 784043, 616415, 214606, 916948, 418697, 837906, 203758, 489506, 217880, 646973, 381499, 725212, 975713, 283568, 363144, 373012, 699808, 593825, 411084, 859459, 255711, 335905, 888470, 277977, 455822, 708935, 154992, 607684, 857215, 406980, 544056, 659649, 942121, 206501, 247651, 654541, 872173, 217092, 429609, 950360, 72043, 636457, 747826, 494114, 163882, 670456, 966378, 264054, 691354, 68101, 4292, 307117, 323623, 335240, 923728, 664382, 598463, 815896, 811909, 795280, 845888, 508315, 604552, 786522, 156269, 428717, 576278, 216051, 128844, 504488, 174374, 161526, 555820, 976262, 91197, 277957, 717242, 350968, 722556, 21758, 363213, 700922, 970451, 115960, 198437, 16815, 242914, 707278, 779452, 49553, 77146, 252142, 968368, 299003, 477444, 900100, 968187, 519081, 715509, 820985, 924148, 363731, 100576, 545987, 478605, 50949, 650310, 127964, 927749, 260581, 756946, 853186, 856887, 293647, 167386, 259584, 983196, 646277, 64222, 809795, 286750, 185615, 636297, 84145, 441893, 760508, 6712, 843609, 387423, 35251, 536409, 494103, 344049, 265290, 389035, 235909, 755478, 724059, 594893, 735814, 368246, 2529, 852389, 864579, 903306, 325956, 216288, 939360, 865254, 543964, 818872, 755522, 292675, 362331, 20304, 337913, 545856, 37835, 832914, 356032, 903270, 947814, 795557, 484149, 37142, 127019, 707368, 749338, 832628, 901450, 495960, 980635, 872052, 126587, 830745, 740275, 322425, 405770, 395758, 841286, 373204, 393186, 687582, 47864, 15656, 107394, 639714, 325853, 397118, 710905, 367310, 504562, 288051, 930598, 29775, 45223, 321671, 882101, 695442, 649214, 170382, 157710, 224121, 643279, 795303, 933527, 714927, 522952, 407159, 445476, 811669, 659118, 767125, 75847, 844808, 935873, 384017, 968423, 803519, 59730, 39627, 100998, 466231, 261660, 631621, 149800, 410418, 752436, 66839, 817414, 953784, 967126, 733055, 42607, 626451, 851240, 832032, 773903, 482905, 445252, 322306, 808982, 329357, 939005, 82170, 926055, 277458, 464470, 849559, 94399, 283977, 617897, 189416, 189140, 894213, 837395, 963259, 246409, 564184, 31891, 521509, 375169, 38827, 278656, 927369, 38375, 608755, 632666, 902473, 702870, 406834, 299951, 712615, 441606, 636711, 891016, 81616, 226735, 284779, 789067, 595397, 146366, 430537, 325102, 745532, 36387, 123129, 808512, 963125, 879309, 743413, 491198, 305744, 27994, 954588, 904987, 130927, 243874, 267192, 165803, 276653, 735400, 496133, 588141, 40825, 241940, 677224, 404426, 277494, 172380, 899469, 631659, 159494, 582561, 620567, 359991, 531926, 86945, 510032, 946030, 955411, 22621, 182378, 51606, 84522, 45677, 108877, 41750, 389749, 345144, 62526, 343282, 407144, 44210, 766027, 809067, 411049, 782911, 918224, 639614, 91961, 943155, 35746, 221821, 770397, 327720, 710260, 386219, 760629, 97674, 128719, 102879, 97758, 805082, 565676, 376670, 468442, 896070, 290417, 635223, 843140, 958530, 213718, 901916, 562530, 94915, 853276, 357588, 154304, 742925, 857920, 815377, 24057, 449737, 508751, 325120, 619963, 754570, 436640, 103419, 905541, 711798, 808347, 553128, 250657, 739346, 13824, 817084, 124182, 340897, 948392, 712833, 603355, 157031, 410682, 610676, 410405, 133977, 834305, 809113, 349153, 187623, 466513, 651919, 60532, 697231, 303155, 945038, 432119, 435251, 311323, 485654, 201378, 488004, 286713, 5663, 341663, 127232, 504736, 47805, 731052, 455511, 70028, 701696, 654106, 182530, 479140, 513266, 274618, 74483, 713898, 59183, 49577, 541969, 697475, 766222, 72752, 473339, 478538, 71128, 935446, 956023, 380425, 15145, 963553, 445593, 875243, 648974, 633642, 123414, 185774, 406130, 206556, 144397, 940404, 455717, 104670, 325610, 55679, 888457, 13379, 146600, 3851, 577979, 561908, 740456, 820195, 477218, 633415, 592421, 153694, 930068, 606109, 347985, 302703, 178603, 225762, 705521, 795331, 918019, 587382, 336755, 146208, 357621, 613134, 207418, 461955, 668132, 594773, 933344, 441289, 721288, 109521, 797436, 214550, 330406, 742741, 428580, 558072, 293119, 570516, 830919, 695989, 364009, 793486, 2481, 98577, 531805, 732847, 72288, 627079, 869104, 636437, 661356, 121906, 643250, 820524, 667150, 248208, 76678, 760472, 101026, 813926, 534906, 808186, 105699, 806393, 460299, 394320, 501383, 490615, 431214, 243798, 731515, 793010, 671727, 346378, 531359, 63052, 52583, 728825, 412836, 412347, 444669, 215671, 674147, 275101, 722104, 150937, 775642, 874741, 857691, 900033, 523107, 769951, 220095, 544170, 481150, 201368, 106463, 32317, 90745, 429012, 238783, 227215, 222805, 902175, 602094, 785130, 190470, 193083, 784266, 401633, 585510, 273731, 951499, 436151, 312480, 65901, 219348, 143951, 492948, 871715, 622382, 733504, 70340, 616937, 927444, 961434, 736305, 49346, 626819, 983462, 746608, 103027, 152272, 526996, 179600, 554484, 570992, 190410, 664532, 696423, 213485, 511084, 987928, 775330, 616759, 241159, 211752, 848415, 648791, 628990, 532387, 190841, 378798, 939465, 690611, 451462, 717006, 917289, 255180, 193319, 333280, 86179, 779487, 543916, 687200, 756366, 848803, 877845, 165161, 988834, 197387, 413899, 688193, 833388, 638330, 414614, 363299, 249639, 964099, 229364, 88025, 875537, 834992, 293760, 405775, 839790, 510405, 127970, 982737, 374553, 308495, 735165, 158826, 67951, 474412, 306506, 502420, 607813, 364629, 865221, 486138, 572040, 670021, 915416, 472025, 663868, 378313, 804886, 652247, 540267, 16927, 845109, 353671, 916447, 674314, 178867, 134916, 70445, 5912, 440287, 158334, 487176, 324473, 729540, 550594, 852684, 795269, 651667, 497184, 976136, 482530, 360606, 448397, 880189, 65986, 640453, 126926, 468773, 831703, 589325, 837920, 119537, 726957, 685855, 789555, 376514, 633364, 889111, 407138, 534795, 601159, 267626, 582721, 157046, 92526, 298263, 827196, 804830, 141432, 87551, 29236, 474786, 185861, 183073, 284915, 403816, 895822, 898378, 769372, 313923, 155613, 868318, 415167, 727650, 751961, 595276, 493632, 702556, 36039, 433926, 129246, 624748 ]
990,072
[ 845255, 191002, 582114, 209430, 756193, 644379, 310243, 425146, 199816, 721865, 914712, 183741, 573061, 24202, 957251, 332848, 789284, 748833, 782327, 636225, 468223, 641271, 325773, 807983, 8938, 791030, 540669, 15103, 468714, 940645, 495584, 898547, 755634, 915445, 143561, 750032, 732453, 596445, 855640, 654484, 541804, 667276, 875448, 966112, 609569, 159952, 761499, 923492, 119717, 199695, 452324, 183986, 766358, 285426, 361590, 601741, 347037, 346680, 731362, 387809, 347183, 12437, 625280, 6737, 114513, 888613, 367146, 605895, 583314, 244705, 580532, 654067, 118339, 490159, 543063, 370290, 666465, 629410, 557391, 705464, 479362, 691922, 316690, 403926, 528889, 104395, 752529, 498868, 777640, 820761, 775913, 955825, 632081, 342694, 71465, 731398, 219132, 13380, 815936, 62852, 862406, 343647, 871343, 196174, 747369, 17233, 50823, 449862, 430240, 936429, 518999, 322696, 933914, 470232, 926425, 649151, 594627, 594545, 412708, 94212, 765809, 539406, 830307, 783395, 560092, 808856, 639617, 278177, 475085, 925242, 142116, 34352, 4109, 427690, 678674, 360813, 168436, 311834, 836608, 360510, 836722, 952452, 831671, 892280, 618840, 211119, 477791, 855929, 447754, 570920, 857709, 862368, 524720, 882824, 475609, 444141, 848338, 398438, 779287, 379978, 711841, 258923, 272200, 142528, 729105, 554006, 582121, 488360, 892425, 445677, 96059, 208189, 298665, 1194, 237067, 299340, 654807, 440425, 950144, 957123, 135009, 362076, 557374, 150155, 293069, 827668, 79538, 971925, 788562, 628906, 638122, 260252, 766863, 727633, 216024, 20840, 895844, 927922, 241112, 209006, 238212, 957156, 432071, 191907, 308269, 78088, 651936, 32897, 412265, 151414, 553679, 20751, 90261, 401553, 837259, 505081, 706266, 510474, 505556, 537887, 450121, 666482, 421452, 917290, 620261, 430587, 181509, 591994, 342387, 745398, 313278, 852682, 392508, 239817, 824997, 678108, 309244, 237312, 76493, 133602, 322630, 838348, 530697, 693461, 588011, 597769, 970430, 919988, 5039, 666767, 617732, 699432, 830415, 419798, 118546, 472166, 477510, 87490, 235898, 838218, 34886, 720613, 578486, 16968, 750828, 882171, 881531, 196005, 782965, 632278, 94381, 113594, 547378, 505616, 623563, 173517, 861229, 426130, 226455, 979131, 584710, 496654, 336722, 974378, 165700, 915235, 799429, 546474, 339905, 748394, 284600, 513201, 85020, 450610, 391053, 528686, 830072, 716069, 491324, 882244, 364200, 71445, 37859, 484053, 2042, 869742, 824580, 199573, 39698, 842566, 617126, 873498, 292696, 861777, 680970, 534475, 72715, 599043, 847424, 409186, 536472, 267574, 94718, 855271, 513491, 32190, 715107, 813352, 574190, 272527, 345595, 525074, 520273, 647887, 630136, 640665, 334394, 110100, 91532, 236826, 911296, 242982, 26048, 48640, 882893, 215122, 749611, 338174, 616527, 588024, 511573, 572400, 108829, 382694, 770539, 933938, 930692, 570580, 529061, 337171, 764445, 694584, 502427, 713969, 12258, 477707, 675027, 78709, 17377, 539561, 947626, 38382, 82183, 23634, 440882, 154650, 357005, 136962, 778439, 585568, 145424, 240297, 456682, 267886, 837324, 341486, 378932, 294365, 519270, 75188, 790166, 758468, 505416, 849903, 99765, 405802, 755196, 118968, 989130, 205580, 214997, 856567, 848611, 516444, 483921, 211335, 540258, 3727, 360159, 235801, 987911, 8500, 348583, 979237, 258822, 840244, 231404, 305993, 476936, 980042, 357977, 809090, 699935, 558412, 630116, 717855, 927818, 892891, 502430, 769750, 606803, 697985, 982222, 541749, 377102, 943049, 222097, 448880, 29275, 966039, 710576, 374892, 49337, 7828, 342715, 313751, 333952, 172325, 356951, 647537, 197796, 743709, 369867, 311905, 118850, 788041, 682681, 327557, 672664, 961985, 950312, 235687, 863352, 860200, 528047, 429435, 146995, 795737, 182962, 213871, 819659, 296331, 84015, 466132, 368227, 574857, 949067, 480479, 563299, 139561, 347552, 248965, 102384, 316452, 951760, 76673, 945897, 320389, 232651, 325301, 866455, 77384, 501093, 35561, 628318, 582677, 161867, 713670, 305713, 643696, 626646, 430853, 295566, 204500, 1880, 746846, 712785, 707053, 984532, 229978, 460120, 512796, 843635, 197970, 26116, 838837, 705078, 729851, 383252, 743138, 65704, 819266, 90921, 916895, 104968, 67092, 741147, 221672, 644880, 520889, 567422, 467869, 56115, 785783, 341000, 60061, 86909, 671623, 196234, 532491, 68551, 351063, 624775, 698236, 638691, 819368, 872321, 370826, 368839, 287872, 393976, 858893, 429657, 112500, 384729, 647271, 98061, 900838, 293203, 69020, 706955, 950751, 745503, 905975, 403395, 572138, 371948, 117621, 116679, 903261, 233738, 457282, 794139, 805993, 405812, 173824, 785220, 237862, 556535, 706342, 820401, 229977, 157811, 492783, 387381, 464509, 804542, 517134, 541907, 938802, 101719, 105302, 183551, 895016, 264446, 822411, 603227, 529323, 166167, 954031, 61118, 146891, 330462, 370348, 787207, 189119, 21079, 718221, 527602, 95861, 6142, 872011, 23150, 568226, 437071, 986690, 299096, 409731, 455752, 437280, 833069, 646816, 608698, 929637, 353995, 952088, 319310, 375307, 930758, 579460, 388042, 792662, 536217, 295856, 784345, 799596, 261709, 413655, 94863, 770659, 21523, 912884, 177441, 80552, 393856, 543021, 163656, 336962, 515465, 500151, 937738, 865263, 849020, 622224, 3814, 64482, 785535, 21316, 313406, 348958, 486701, 309705, 172346, 597216, 881890, 589224, 391076, 823013, 151560, 966504, 278286, 915357, 784056, 573732, 149787, 195779, 843283, 104372, 870477, 422424, 298970, 121713, 851826, 79911, 666808, 959587, 663985, 231732, 291660, 969195, 474773, 722101, 208232, 284448, 314812, 780761, 133395, 776940, 513126, 412007, 854671, 714641, 482269, 300967, 203871, 394235, 99270, 553122, 8352, 794996, 984664, 411777, 275146, 39366, 897310, 972869, 75638, 441500, 795403, 760547, 96994, 394117, 928528, 824806, 205333, 167376, 886933, 283133, 127293, 115758, 523721, 168473, 742193, 483865, 314825, 717488, 941259, 370, 704832, 288568, 632051, 775580, 888333, 100638, 78725, 443374, 79875, 325783, 65087, 272019, 913003, 453038, 886580, 541508, 987836, 114310, 385623, 760420, 113669, 21013, 802837, 919655, 557453, 544396, 864354, 707816, 901988, 494822, 791095, 330554, 499402, 339250, 455157, 223365, 211020, 396903, 149277, 344712, 844525, 54252, 411799, 729617, 606703, 692575, 73812, 814182, 759582, 739478, 346056, 400806, 868275, 939822, 173634, 3267, 466048, 629447, 822135, 155850, 223465, 405168, 886942, 392309, 730452, 200821, 166906, 349059, 572751, 244873, 218734, 760745, 660226, 666787, 880967, 899343, 124389, 553604, 830172, 203811, 455083, 761881, 526779, 465021, 653353, 32309, 845511, 904523, 355674, 393423, 204451, 786500, 366374, 418187, 36858, 466124, 466383, 886070, 421660, 986117, 344331, 598318, 116985, 233092, 857738, 558325, 157499, 639199, 33126, 507207, 509005, 258470, 333663, 735239, 195275, 287447, 407244, 95147, 843493, 531222, 4875, 144225, 376737, 410182, 41568, 329388, 807680, 94176, 504271, 77502, 126297, 805902, 674246, 643347, 161930, 649852, 718015, 924997, 150215, 221349, 231325, 888348, 988463, 512351, 346990, 30897, 368703, 796829, 46317, 213868, 979714, 636828, 471904, 737486, 485598, 21221, 875828, 674345, 750639, 477740, 137943, 821925, 679171, 21675, 217213, 280407, 258382, 117554, 534308, 578084, 468554, 665199, 668185, 428393, 743224, 66780, 394349, 46610, 942308, 789624, 962581, 565039, 612677, 665070, 228499, 957952, 41631, 251129, 768667, 290941, 23045, 209800, 146027, 362070, 375364, 218904, 710303, 68935, 341572, 810863, 943215, 274371, 459034, 783663, 819024, 254080, 886158, 561408, 443384, 723565, 911148, 357057, 744334, 805824, 934821, 427160, 631440, 645778, 805073, 186875, 619802, 153639, 613218, 821971, 471997, 859594, 454874, 290765, 896575, 84125, 50602, 376829, 795404, 640252, 592912, 346024, 125142, 427481, 731507, 783600, 427476, 389499, 378459, 544669, 282826, 35235, 596943, 140876, 131765, 162678, 258546, 939137, 533026, 963006, 299262, 634630, 618745, 717425, 938378, 957675, 893993, 797057 ]
990,073
[ 938504, 802534, 39257, 334779, 798637, 966208, 833470, 384174, 399637, 692925, 74656, 246306, 113999, 839249, 176840, 597177, 323737, 500762, 136960, 984104, 800620, 506107, 574486, 34895, 437959, 524386, 414462, 457060, 183268, 915045, 750636, 801901, 97183, 254153, 780541, 224222, 569549, 535808, 607882, 30711, 3217, 158126, 30440, 501951, 294880, 488617, 834711, 781935, 496843, 409689, 970526, 79474, 184228, 16248, 264220, 622740, 898198, 9315, 828967, 386390, 217891, 934577, 383787, 550267, 124167, 192230, 444926, 737637, 398060, 111948, 53673, 273631, 261385, 473416, 752066, 966652, 762890, 185104, 952581, 448722, 702250, 416686, 817431, 726285, 255140, 514256, 623256, 249042, 85654, 308848, 451176, 36282, 343470, 355174, 473055, 440965, 475393, 575546, 385836, 821238, 488552, 237115, 266389, 952396, 514752, 961343, 938568, 728750, 567780, 336546, 537630, 661374, 671026, 364997, 860238, 696276, 854163, 287528, 953425, 547100, 718115, 672721, 634309, 481339, 178568, 286797, 530465, 933030, 221543, 41607, 514566, 21779, 878887, 185134, 718174, 845461, 763788, 27644, 422541, 255625, 850873, 965263, 226470, 476083, 284175, 466202, 239834, 742018, 446934, 896328, 975164, 928235, 78679, 773710, 718386, 968883, 537948, 483676, 695179, 633192, 939451, 916154, 120644, 893361, 862751, 270648, 140057, 114183, 547083, 980727, 545136, 455204, 230923, 764273, 310115, 630890, 668250, 914536, 310109, 596805, 964342, 494725, 508229, 907637, 123091, 667978, 133273, 259318, 417342, 679133, 420151, 563362, 671036, 871548, 687469, 817150, 138156, 766485, 275481, 697527, 325651, 517425, 756399, 869909, 876039, 878369, 379202, 662601, 658227, 823095, 658990, 214635, 762291, 930960, 16305, 626029, 711037, 883389, 779310, 578590, 823980, 985311, 608213, 924423, 199132, 132231, 650224, 700898, 940303, 679872, 199423, 412387, 790892, 627271, 423810, 728913, 314553, 637335, 95133, 640939, 503592, 348051, 369753, 161183, 55693, 590571, 320307, 66300, 877443, 75160, 984296, 198523, 312908, 87605, 142035, 890923, 462217, 728449, 3820, 540615, 138545, 289766, 332565, 820796, 941425, 424108, 678121, 499854, 262101, 493103, 741536, 83780, 737860, 94682, 428114, 494258, 875360, 26693, 646625, 98733, 76424, 551542, 173653, 598069, 586329, 178557, 907925, 839837, 488198, 478813, 317755, 364080, 186530, 589025, 578123, 29607, 51622, 8184, 73112, 189421, 902185, 638565, 251564, 724370, 807592, 786206, 854469, 651246, 131499, 538831, 621952, 544094, 284648, 500932, 172464, 78708, 714717, 857238, 276744, 868119, 40461, 179123, 221685, 693045, 610791, 788514, 883868, 598372, 442240, 970283, 530997, 668340, 302086, 924906, 712283, 330986, 965125, 801621, 139458, 621890, 252960, 449330, 742389, 278006, 709914, 865339, 388495, 494719, 759467, 200817, 928017, 503556, 370724, 177792, 911095, 11100, 792297, 218724, 261608, 712765, 97661, 747008, 510181, 265034, 7788, 278293, 236936, 569331, 3580, 392937, 305697, 167242, 113006, 87322, 859317, 979980, 416657, 630352, 363917, 207043, 101950, 398632, 473421, 900992, 803037, 813449, 78919, 858923, 783375, 434914, 272610, 55454, 400524, 907064, 811670, 486206, 615522, 383179, 73154, 961765, 942149, 521837, 417941, 621823, 400110, 950237, 229159, 564874, 265197, 768155, 404258, 424632, 710011, 56512, 272, 821999, 707766, 211930, 563682, 217698, 45821, 736240, 329134, 340154, 466909, 297934, 861821, 159447, 52505, 213848, 665267, 684893, 269351, 207996, 12402, 703726, 540925, 820699, 951166, 678003, 179783, 883147, 180461, 550900, 907783, 755091, 745369, 361139, 726174, 536011, 346103, 795367, 472721, 544251, 506559, 810097, 673587, 550535, 428590, 423009, 384523, 25903, 82098, 543012, 897886, 522934, 105690, 542896, 336141, 805434, 239474, 678784, 634153, 825517, 214098, 812927, 761489, 805098, 182227, 343376, 486226, 822978, 337813, 483767, 621043, 941429, 987108, 222753, 296228, 573738, 293939, 114070, 986170, 804809, 780081, 863689, 191870, 427348, 838083, 909140, 397347, 525569, 273023, 975985, 376177, 288835, 669576, 697091, 942553, 680467, 456646, 39624, 82715, 690945, 529370, 770299, 335019, 205992, 214346, 644972, 182422, 439792, 346050, 13176, 222797, 752447, 600173, 954305, 723526, 481251, 864945, 910572, 631758, 130608, 551776, 576037, 764506, 225022, 393798, 8272, 652264, 145566, 45428, 832863, 565646, 238978, 850412, 405734, 516332, 880279, 606901, 815276, 242497, 696412, 305621, 363926, 772321, 178668, 909097, 318314, 615828, 416843, 319904, 116450, 818055, 43264, 144584, 360491, 73481, 726316, 571662, 433103, 262828, 874589, 252338, 765560, 576652, 600776, 67090, 981986, 564600, 580279, 391781, 101965, 236796, 371893, 384509, 269302, 193867, 352670, 754701, 78642, 2181, 637810, 109897, 321551, 161284, 987929, 349622, 783507, 372675, 294217, 662089, 380233, 572168, 94334, 68599, 920551, 82124, 331747, 524523, 435991, 84517, 925978, 355210, 807801, 833037, 128420, 598164, 64303, 205476, 309216, 868912, 526943, 532163, 396560, 827520, 553054, 33618, 689370, 508202, 33032, 163754, 151745, 799839, 455940, 522660, 437121, 196735, 34229, 727475, 794001, 147594, 275731, 148341, 923906, 262191, 542391, 498698, 229630, 859142, 565652, 673429, 97124, 590337, 29635, 173694, 570991, 398657, 629044, 805566, 107746, 574290, 756676, 182623, 724803, 544432, 397854, 394958, 594955, 674456, 560741, 429215, 48626, 88630, 156173, 662933, 388711, 480906, 308712, 221466, 377181, 325749, 482706, 294193, 213028, 342597, 423912, 437445, 237880, 293959, 587616, 429928, 931932, 826450, 250227, 38023, 615596, 200567, 948471, 427340, 414894, 265031, 196634, 158127, 163674, 297218, 894380, 769478, 127116, 61565, 189412, 476169, 757934, 489313, 599951, 850039, 977295, 942276, 689331, 259507, 616902, 341082, 722105, 578955, 213636, 748382, 321439, 892083, 786946, 242818, 338884, 31678, 859040, 549565, 171920, 31155, 282081, 11990, 768920, 526092, 952916, 827295, 615081, 830277, 348263, 105931, 861695, 740662, 590549, 493473, 720803, 295631, 428520, 987769, 652556, 164340, 785986, 844451, 575905, 976648, 907253, 1647, 661727, 464780, 700132, 8342, 493723, 21857, 94726, 570570, 111496, 232416, 208842, 476611, 926568, 64493, 493957, 309174, 463647, 693501, 427229, 192072, 635259, 807282, 751499, 390127, 219554, 556008, 254787, 826966, 71684, 573084, 867448, 509188, 374712, 899048, 988384, 727527, 314445, 682188, 964261, 971177, 399582, 883037, 989878, 75348, 426658, 77737, 621158, 937782, 403920, 674991, 871928, 584661, 866571, 513306, 50533, 545890, 892491, 534267, 18888, 597376, 919169, 437399, 490432, 17149, 783490, 848092, 365612, 773029, 133792, 330592, 547942, 587770, 36138, 416665, 888536, 705324, 587363, 183174, 307552, 31756, 109175, 865695, 306913, 660802, 688062, 233731, 323071, 566690, 538031, 918652, 696154, 33800, 549801, 149011, 133413, 755298, 136693, 832332, 647475, 813430, 95534, 594498, 778592, 61859, 295908, 894784, 368505, 649022, 337660, 85666, 267261, 304663, 743471, 279729, 570684, 652124, 110847, 521426, 765329, 598958, 976565, 440446, 676402, 275454, 803053, 138494, 173704, 88155, 452376, 9774, 479932, 21329, 162637, 444223, 636556, 697790, 794400, 90508, 477354, 538501, 866594, 114055, 903712, 732730, 903468, 895492, 183000, 559210, 787340, 526017, 115590, 586917, 922263, 843847, 547253, 307874, 540505, 898459, 699700, 809426, 22572, 136756, 983690, 738404, 57353, 640378, 184734, 581408, 619680, 570304, 591814, 806167, 64289, 517616, 288464, 211550, 13674, 479848, 86617, 933639, 769740, 320210, 460399, 777787, 614799, 92323, 228226, 543464, 790503, 122810, 662248, 285928, 816667, 830755, 926507, 242633, 364277, 815499, 200904, 165633, 464890, 401566, 295232, 510869, 405168, 231944, 322374, 505698, 955731, 972641, 252299, 150775, 219122, 603595, 778903, 479674, 984005, 127740, 601507, 789241, 334208, 697648, 413352, 977626, 220613, 184373, 206389, 626062, 34518, 375261, 598330, 528938, 503419, 749681, 829949, 951523, 364184 ]
990,074
[ 62768, 487884, 99434, 773068, 296544, 138310, 710101, 597664, 213999, 769889, 189474, 960386, 166465, 916267, 665981, 83973, 597887, 759944, 427426, 966783, 27483, 182030, 587912, 234774, 519475, 803446, 827117, 751192, 206808, 546098, 254694, 528401, 263750, 632137, 92247, 188037, 27098, 530745, 220864, 644437, 140398, 836088, 568502, 301141, 722307, 645584, 891250, 858098, 656996, 906618, 132760, 400741, 402468, 876364, 98664, 824736, 906887, 739858, 250903, 277391, 399385, 87858, 455046, 16379, 617444, 385729, 518647, 898822, 179704, 617477, 662405, 968231, 553731, 976399, 246963, 316519, 686915, 403966, 295724, 11235, 789227, 241282, 73024, 132653, 813350, 104183, 907061, 346997, 418280, 983958, 499398, 420241, 718673, 557764, 861163, 246549, 907903, 872702, 740033, 822593, 946237, 51775, 271756, 476963, 559223, 718170, 299425, 754626, 288016, 955029, 873860, 778940, 335145, 791640, 916436, 256623, 52523, 586822, 681996, 240671, 660424, 959452, 678736, 894529, 866603, 688390, 306576, 229624, 223820, 135758, 373123, 329303, 895912, 738078, 602301, 369267, 460235, 916151, 43622, 770737, 843821, 13438, 579514, 782349, 101528, 824236, 225519, 480880, 786348, 359871, 700684, 722042, 817290, 214303, 232138, 609528, 161102, 610024, 910416, 233122, 468405, 514118, 108221, 886683, 207512, 129209, 33144, 428327, 538647, 119569, 245335, 717848, 179156, 36821, 479729, 843129, 326071, 378450, 102355, 215268, 641462, 933666, 307151, 724219, 71986, 563581, 84088, 495221, 308789, 857611, 493187, 568263, 318930, 453427, 444425, 248330, 319299, 513427, 785150, 200001, 313423, 209929, 171434, 252079, 109884, 13428, 28656, 408526, 866254, 93506, 158991, 191798, 817986, 221027, 328481, 720309, 133369, 505055, 120208, 983563, 624178, 268784, 327517, 45753, 94520, 413483, 12127, 390346, 299217, 184580, 853979, 99383, 978195, 508852, 784390, 590977, 732963, 475845, 19315, 473504, 392657, 393074, 881951, 565466, 230826, 852244, 865538, 551690, 810962, 83932, 727565, 895104, 779195, 375491, 470624, 501369, 159372, 790465, 688123, 370528, 113331, 892354, 554516, 61332, 290707, 242399, 672852, 373447, 171897, 925370, 930989, 262436, 741849, 728756, 962743, 960880, 185124, 684650, 540689, 810170, 196869, 978700, 549800, 574749, 665510, 704091, 586576, 808711, 630627, 442593, 192362, 199183, 778417, 159912, 257892, 92513, 23911, 231908, 193331, 529506, 509779, 316876, 37268, 75179, 612535, 135190, 624309, 426858, 64281, 242259, 582347, 921105, 345969, 772187, 879554, 728892, 731227, 933999, 759229, 78835, 198213, 884767, 352351, 126360, 527190, 177528, 362874, 320772, 386015, 328565, 357184, 648549, 327802, 479709, 839757, 702361, 215113, 496891, 656488, 967648, 924170, 246926, 971089, 130323, 680232, 452326, 120253, 903784, 944585, 919735, 931711, 709290, 696487, 432739, 403113, 48003, 136949, 549772, 387176, 561254, 510259, 621513, 543696, 968353, 608026, 192888, 43105, 141238, 927298, 714472, 61337, 773599, 674257, 774878, 903610, 768561, 341650, 623258, 331523, 982219, 322017, 901135, 615577, 255997, 383152, 418170, 513031, 653857, 967971, 629857, 831608, 684020, 262561, 551349, 241522, 102112, 492160, 826294, 408704, 669692, 846237, 314281, 471068, 660201, 681348, 934743, 180687, 477515, 923118, 385786, 117888, 211241, 843228, 91786, 190749, 536732, 249340, 641788, 251354, 218546, 93107, 430716, 543281, 20234, 749876, 671361, 964382, 98452, 636542, 800379, 525513, 605551, 145127, 692665, 35207, 691365, 435477, 246092, 558287, 177353, 420698, 617712, 714415, 642597, 123965, 467655, 148066, 33106, 27428, 131374, 347407, 437501, 78397, 686562, 103011, 554949, 850888, 989987, 686605, 24158, 641190, 555693, 68902, 83270, 230936, 824210, 307410, 765119, 837798, 348141, 76233, 7183, 383648, 163939, 398479, 315154, 840536, 795093, 195041, 276266, 17189, 683462, 811102, 639805, 838944, 904865, 258417, 744284, 888296, 795750, 202655, 578923, 164488, 568664, 419478, 64191, 590554, 126167, 143191, 794392, 592813, 700740, 537225, 603353, 290223, 31505, 845324, 925797, 728596, 222721, 376542, 899368, 825318, 793544, 687496, 883087, 45365, 786241, 646417, 513373, 849576, 595789, 942127, 754471, 882579, 115480, 457135, 173912, 715082, 658570, 489827, 762529, 816569, 546494, 197960, 946445, 86914, 206594, 671459, 447159, 875732, 123267, 231356, 155643, 355397, 893918, 396742, 936933, 261245, 424886, 124313, 209990, 175935, 291738, 118768, 867056, 173933, 910014, 365322, 391550, 311324, 304804, 118335, 130225, 811109, 816156, 99453, 328252, 930568, 266970, 411379, 310570, 87678, 107040, 912549, 880254, 457255, 811668, 735646, 387473, 244024, 502280, 683550, 692926, 950462, 385261, 899002, 100955, 655413, 597934, 813989, 955560, 72376, 377898, 699426, 279515, 502978, 401303, 872918, 100304, 713247, 255107, 108077, 164859, 55816, 281385, 453007, 679370, 873410, 968288, 288218, 3791, 37409, 118492, 342170, 25116, 720513, 509922, 132942, 474546, 599400, 791931, 640690, 529058, 420517, 406051, 453234, 403938, 346163, 75884, 559824, 235907, 553713, 552076, 788132, 435453, 368881, 19809, 181980, 766467, 537681, 307385, 248436, 121919, 432510, 351993, 141690, 938040, 406485, 928327, 10081, 586205, 855120, 834292, 221561, 533941, 948159, 840233, 829824, 139659, 98781, 226422, 872248, 462789, 112244, 378208, 399035, 445954, 448719, 260493, 710418, 331370, 95584, 142013, 779498, 343537, 878666, 924674, 322233, 482005, 275678, 43713, 746205, 765078, 448018, 664303, 331181, 227966, 833240, 509588, 894527, 603268, 608176, 242302, 676474, 85702, 970002, 600845, 983299, 933704, 547306, 455614, 235189, 816771, 789036, 421216, 329626, 614213, 445241, 617750, 762568, 484331, 718611, 679931, 774259, 586529, 29685, 746226, 65095, 524844, 353069, 590063, 632629, 316976, 778714, 197788, 251727, 272303, 675053, 591702, 240280, 930356, 70731, 717379, 266915, 785702, 283962, 846467, 24665, 420156, 414757, 160107, 41235, 708380, 346955, 240172, 55850, 562211, 917050, 97975, 948580, 165115, 1503, 958447, 965649, 524459, 534253, 382805, 529143, 875098, 167754, 504494, 284432, 680409, 593322, 67984, 752852, 328341, 685567, 130539, 960221, 834904, 557866, 748877, 487137, 61581, 987153, 691924, 847162, 231531, 65062, 132432, 108348, 121889, 147473, 379501, 491504, 582099, 148103, 31793, 921257, 591507, 896486, 811705, 276038, 781339, 300692, 250447, 141414, 720680, 18071, 397590, 923208, 172477, 466996, 304327, 328133, 177753, 793161, 813281, 584691, 69873, 162041, 184936, 33237, 695193, 176078, 330276, 653388, 265958, 857542, 359675, 753228, 55858, 912467, 561790, 69491, 853562, 439121, 623851, 278605, 562581, 517610, 611453, 238385, 639748, 219045, 748584, 881486, 47116, 366110, 695946, 411053, 463784, 133547, 878614, 795129, 828458, 160814, 516052, 886436, 919553, 717183, 70502, 707922, 810771, 926620, 199804, 475027, 935973, 35553, 509900, 720027, 394539, 107494, 757455, 746848, 317695, 913209, 775972, 861568, 492874, 578946, 516033, 641424, 576627, 480382, 857108, 163160, 22422, 512466, 887959, 68680, 553942, 75053, 284183, 609185, 125337, 786438, 698859, 677299, 22999, 466400, 873272, 382959, 766297, 726744, 255195, 530996, 184685, 507641, 959925, 132252, 809667, 594280, 287491, 221059, 649642, 907589, 224405, 192997, 399030, 944500, 542661, 124666, 22721, 638582, 722635, 487090, 589635, 721298, 272702, 891129, 870004, 898468, 652694, 464258, 778362, 119466, 630237, 401488, 786755, 718435, 90574, 371531, 508956, 925186, 845051, 331336, 775312, 348608, 874606, 529242, 908123, 583291, 858217, 833514, 825633, 135070, 955487, 675599, 769193, 647352, 77418, 614698, 852474, 795958, 704853, 383950, 561643, 872046, 194318, 18256, 166636, 547108, 169938, 794474, 186013, 600384, 637599, 387744, 270221, 859677, 56590, 494224, 235483, 514320, 80048, 535052, 812605, 34183, 466366, 961997, 30533, 377582, 517445, 480968, 818522, 669480, 575836, 912112, 662320, 793404, 605141, 527503, 987657, 266778, 172822, 657790, 788073 ]
990,075
[ 707095, 296669, 858527, 120103, 502775, 153285, 313109, 794792, 101819, 330575, 3194, 713033, 567477, 908626, 807791, 713174, 783564, 741579, 160880, 169122, 274693, 327096, 391187, 517286, 833426, 837009, 505440, 378895, 677313, 759628, 602240, 791296, 944686, 623123, 938469, 710659, 523224, 269718, 447355, 256185, 264334, 354563, 364044, 831225, 970339, 929255, 250943, 481590, 750560, 622063, 564885, 755898, 261453, 347500, 644933, 239895, 658975, 842514, 466350, 404098, 3051, 435328, 805873, 207447, 475152, 138765, 312990, 765927, 312439, 47822, 454957, 237361, 103784, 504903, 566977, 735590, 41064, 46467, 772232, 962444, 672626, 873904, 467844, 399233, 904363, 659243, 697, 265454, 793630, 243770, 504318, 135093, 608208, 794305, 92198, 808801, 208746, 220440, 296956, 862035, 86941, 221686, 293503, 99589, 429418, 794070, 851541, 704320, 129567, 664514, 129253, 560451, 263337, 904066, 374835, 871277, 430387, 971331, 776291, 849141, 825632, 472619, 657508, 455605, 338573, 940266, 645531, 640087, 465364, 351294, 64457, 364325, 415045, 650521, 506688, 489841, 38236, 119873, 746337, 280941, 517368, 61523, 506374, 230982, 341938, 536214, 469939, 673494, 533789, 739953, 983942, 179582, 121251, 192055, 638325, 117574, 369861, 356313, 195969, 289656, 556885, 883055, 511149, 27725, 280829, 138587, 283299, 806578, 409568, 310113, 321714, 245374, 52517, 527589, 310538, 735217, 53340, 860852, 275956, 729022, 422236, 32680, 582897, 526920, 852895, 833256, 90755, 278938, 529396, 936351, 395070, 214335, 725164, 253163, 573425, 561494, 174893, 183477, 184674, 217266, 219874, 257553, 172482, 687752, 256481, 482630, 49056, 816558, 817225, 619904, 721679, 138627, 570804, 463129, 148134, 106842, 86812, 45772, 587556, 568426, 489012, 164643, 203261, 565276, 964908, 139867, 458567, 617372, 505297, 163563, 520712, 607234, 761270, 972957, 873977, 469777, 202039, 816382, 917970, 261747, 432112, 609055, 298289, 733769, 114947, 60084, 661852, 493203, 340935, 85235, 888786, 152066, 14559, 586137, 8144, 879186, 597439, 873786, 271738, 899662, 337845, 402813, 135035, 572165, 16663, 794523, 200308, 331899, 877875, 62871, 664822, 914217, 218419, 766783, 535067, 396722, 400288, 714316, 307330, 103746, 877550, 949122, 576694, 676969, 349800, 457258, 709492, 250878, 189290, 909735, 778715, 925783, 394037, 979019, 144547, 309324, 231082, 987123, 2504, 600865, 902668, 148775, 539284, 127070, 798176, 508609, 720920, 884462, 248392, 883004, 707002, 17058, 964805, 939419, 350750, 131223, 123705, 845322, 128468, 255732, 297578, 674349, 334469, 688262, 209254, 416757, 471688, 57098, 291204, 630199, 386056, 535937, 969117, 331257, 689480, 307258, 387640, 798459, 733140, 567573, 49734, 958785, 21020, 636761, 325404, 363723, 468911, 748990, 615017, 683493, 199519, 669383, 722370, 611874, 753027, 716815, 579323, 142598, 199351, 398388, 195235, 248989, 56489, 446758, 981911, 591855, 977411, 928693, 875102, 918776, 490398, 738330, 745684, 513119, 34496, 204917, 682423, 680717, 863224, 53272, 260915, 575128, 210708, 907413, 649108, 16303, 659814, 534506, 672242, 835114, 134975, 671670, 45943, 301844, 141355, 125450, 982788, 474849, 882212, 635772, 883258, 927610, 222248, 205309, 760497, 962618, 60774, 952355, 666195, 489888, 661290, 21667, 145473, 432234, 450364, 501974, 427040, 814065, 95097, 76592, 16133, 966700, 273609, 865633, 161579, 39717, 635183, 878841, 200732, 160760, 545323, 719990, 164331, 753500, 979063, 741744, 257489, 259213, 650208, 120640, 867037, 302256, 688287, 482492, 405332, 485353, 791018, 821731, 731639, 626988, 926002, 280689, 748380, 574719, 174453, 666971, 267024, 188856, 18387, 335364, 192315, 378840, 707834, 589297, 384803, 673196, 1195, 922294, 69966, 553239, 915609, 265581, 286210, 516023, 985770, 381096, 145579, 20137, 119280, 269207, 508864, 625399, 257806, 306995, 399366, 804816, 857010, 538879, 66155, 785282, 756920, 541813, 102965, 342057, 49084, 441317, 954844, 721217, 142734, 865991, 250110, 822612, 561456, 720091, 242606, 669558, 825808, 828411, 778073, 156058, 192151, 624903, 419047, 331346, 418412, 782862, 887824, 311920, 848088, 521281, 793287, 734272, 797347, 428095, 109091, 87441, 959394, 159011, 129038, 537026, 736614, 805464, 745970, 872451, 136287, 593294, 323277, 903786, 122267, 464328, 657903, 702789, 369217, 674665, 227471, 941721, 977891, 227287, 973745, 296066, 72771, 814226, 185290, 554588, 501928, 255121, 607756, 462179, 695299, 246013, 977731, 801174, 417597, 876730, 157104, 784695, 106573, 614192, 819311, 665822, 230988, 225743, 523260, 799939, 322279, 327588, 110617, 483771, 234972, 954270, 584313, 727024, 962299, 348379, 545206, 436467, 566446, 215250, 368963, 933216, 913421, 569951, 662889, 64816, 25081, 931362, 75646, 180031, 172165, 603232, 334140, 291927, 156695, 169878, 609462, 207282, 11797, 716390, 133518, 213416, 580819, 668369, 585601, 452425, 513864, 568543, 819914, 959601, 534048, 305464, 397289, 828978, 592767, 571127, 455648, 280158, 162658, 867439, 287885, 136809, 523003, 863387, 424896, 733060, 343892, 868544, 338820, 756060, 318574, 683805, 977157, 441721, 10088, 757444, 81920, 9355, 46785, 191230, 769688, 46108, 220322, 775627, 553078, 638066, 434447, 618644, 404075, 626611, 121892, 655548, 720268, 669546, 69280, 925115, 954643, 980370, 212120, 760545, 281718, 719530, 811258, 403153, 381599, 441768, 572641, 890240, 512358, 401347, 731327, 382092, 957041, 14215, 455621, 220538, 86269, 771833, 763337, 716122, 630474, 165897, 585460, 49033, 975954, 691259, 673396, 699143, 481411, 622373, 290238, 869228, 319414, 63943, 50683, 905636, 221157, 683851, 740672, 201808, 419321, 511306, 938044, 852934, 484382, 292311, 207584, 490632, 85408, 417124, 101744, 125543, 930461, 528031, 25082, 252931, 321400, 833396, 526265, 613141, 471316, 98494, 880739, 449217, 867252, 834242, 885385, 861906, 261708, 155514, 617173, 687341, 304501, 711700, 634284, 602818, 924231, 562736, 264386, 52442, 705759, 983475, 170685, 347226, 195352, 348964, 771750, 411694, 177020, 286781, 928696, 278853, 315158, 114148, 770441, 211427, 212864, 451318, 987540, 424715, 402002, 469789, 807311, 788035, 598106, 910992, 695494, 552772, 162152, 251510, 892456, 541319, 456159, 733522, 795935, 699942, 323373, 418959, 554206, 932489, 814175, 97086, 981231, 236752, 894397, 167944, 408472, 160844, 478183, 619908, 845962, 836748, 611304, 519502, 423376, 846971, 936538, 488762, 47930, 118596, 522349, 67587, 50738, 636356, 957023, 582875, 303643, 474051, 64252, 272882, 216954, 271957, 543808, 729306, 372213, 53469, 624221, 68112, 446343, 715350, 237891, 54697, 304217, 452391, 5491, 373146, 530011, 171647, 423638, 396296, 36431, 859777, 73496, 811914, 874609, 889975, 750924, 212656, 396744, 259338, 829719, 62791, 40659, 257476, 760054, 438481, 663757, 570381, 663421, 615284, 238447, 599536, 923709, 641932, 230393, 763585, 760107, 862007, 345783, 503451, 376099, 575132, 156578, 470628, 874469, 526874, 945870, 307806, 715435, 916678, 466416, 539943, 160285, 79982, 243097, 476797, 266780, 441393, 694503, 447825, 18718, 142943, 716426, 601804, 23962, 867525, 141946, 360242, 867438, 288382, 200397, 942157, 144462, 154424, 518632, 14931, 304957, 173044, 302087, 439252, 625266, 643945, 158975, 520933, 301988, 293133, 465226, 820034, 175613, 957055, 687145, 366491, 927947, 450098, 755371, 30503, 624673, 40201, 613823, 899024, 886625, 441194, 73169, 574226, 510123, 463686, 602984, 443830, 85417, 946066, 875327, 589248, 885642, 302962, 768710, 676918, 316898, 206091, 909881, 948847, 343920, 981825, 248978, 919591, 983352, 593389, 159656, 883163, 858084, 357034, 328727, 649697, 152237, 350426, 556689, 866200, 56664, 866412, 515692, 341319, 763808, 244677, 918273, 827458, 390240, 183977, 982703, 132539, 297751, 535979, 598180, 149151, 852848, 291378, 165145, 353652, 108965, 13359, 452460, 333562, 210375, 188655, 518271, 755449, 940178, 328684, 906656, 309636, 538035, 281506, 60953, 741487 ]
990,076
[ 214143, 23522, 432164, 977565, 373360, 203302, 370888, 371264, 826757, 304266, 951969, 703746, 80135, 599023, 676190, 610951, 156137, 257331, 387397, 774130, 215257, 783863, 654966, 979000, 250082, 386163, 854897, 517925, 867715, 795661, 787072, 380518, 883879, 515293, 849103, 113691, 919180, 988982, 782426, 428954, 773499, 465933, 700150, 139918, 712751, 434207, 68314, 178527, 983534, 67900, 638293, 245527, 157103, 306186, 606900, 386665, 224292, 162987, 924758, 320831, 923612, 908542, 439248, 85638, 136217, 448282, 25158, 16799, 112743, 371262, 701736, 965902, 201819, 915267, 408900, 542762, 661131, 722205, 865287, 866617, 140747, 208284, 6343, 863415, 775628, 100494, 121534, 435818, 29836, 809022, 689599, 717737, 323695, 718841, 252755, 740412, 753874, 251886, 911474, 438392, 877677, 498109, 388759, 493354, 769032, 963665, 885095, 704955, 188494, 158441, 107276, 227579, 124325, 156296, 519555, 803913, 540175, 557560, 153187, 187119, 235368, 1238, 874835, 713788, 841100, 476766, 481266, 85246, 349668, 721750, 846438, 690939, 105129, 441503, 800326, 602216, 720929, 423210, 381983, 780171, 236675, 65115, 245435, 801804, 894888, 731349, 857461, 155021, 100305, 706434, 378701, 838906, 622614, 792183, 565333, 494343, 505032, 31899, 304378, 122457, 278035, 690869, 782397, 468696, 333200, 958117, 26260, 907272, 614336, 87467, 152724, 457744, 772838, 54175, 891115, 216487, 4537, 654607, 122775, 668403, 143618, 311374, 767999, 204688, 685389, 737276, 209703, 692390, 602948, 342771, 651047, 631672, 489261, 801197, 7459, 149325, 726179, 261392, 327843, 740843, 612439, 617388, 160426, 797878, 791257, 76850, 97617, 296148, 270672, 744544, 228784, 819477, 936610, 932044, 705181, 631603, 561630, 848990, 838821, 141587, 571110, 155393, 739489, 480510, 73877, 975471, 24172, 971508, 701218, 373380, 741903, 14061, 687724, 383631, 746867, 644659, 307795, 89663, 805702, 283393, 885013, 949081, 510561, 27660, 161881, 586835, 500862, 775873, 13486, 66082, 588524, 58441, 763534, 564587, 784299, 309755, 825795, 441492, 134045, 240708, 665799, 648431, 105431, 769436, 726337, 51556, 278783, 672873, 127677, 670688, 874983, 66045, 714039, 205111, 398900, 895128, 728891, 473702, 191469, 429910, 131747, 193361, 930067, 899748, 807701, 752068, 821065, 580800, 456162, 153234, 370987, 517215, 934200, 970402, 255485, 654614, 946247, 943042, 989622, 288714, 389968, 865091, 888621, 572461, 31233, 255512, 590152, 24493, 621688, 425190, 673555, 15259, 59876, 325043, 123561, 385192, 427542, 962533, 216289, 808560, 383256, 872312, 422010, 445895, 113389, 532727, 13180, 20299, 643582, 133958, 918393, 820192, 321034, 289385, 323059, 527273, 62209, 957323, 232948, 652214, 715740, 87002, 360123, 896524, 87433, 11911, 258289, 88396, 207562, 519691, 430613, 216810, 292028, 317502, 547180, 296590, 445624, 161048, 162982, 793157, 218861, 30956, 826912, 251760, 439132, 661789, 960984, 599377, 650370, 485235, 76316, 692244, 870499, 144412, 916659, 150052, 345065, 389983, 643883, 598829, 468905, 841764, 65443, 616608, 303486, 906180, 454069, 498747, 840615, 896194, 578336, 162212, 794463, 224741, 264331, 507879, 74464, 925536, 179897, 878784, 789569, 69470, 229083, 945600, 951990, 882402, 882308, 778358, 190339, 836545, 304268, 604275, 963875, 285406, 6269, 137094, 651380, 802943, 527220, 462281, 893597, 867010, 729728, 555561, 308627, 733666, 954839, 737851, 186855, 522537, 377148, 859567, 777888, 401667, 804211, 805365, 591479, 480573, 761153, 249545, 236316, 880953, 163818, 285354, 212043, 298736, 890982, 967023, 395432, 579818, 42799, 657839, 243195, 415101, 224376, 139765, 171013, 721465, 635369, 583361, 65141, 953080, 323861, 317702, 853184, 596117, 244764, 203734, 589768, 397767, 391634, 722514, 485458, 110640, 32548, 336379, 291119, 967700, 785337, 544536, 154251, 674720, 697051, 15626, 341557, 347333, 270701, 919459, 644275, 933946, 283838, 576634, 180643, 357098, 240260, 10366, 432000, 757908, 82718, 884294, 313762, 463348, 722240, 618138, 634082, 189365, 391943, 669659, 89735, 476665, 440193, 840669, 350375, 341507, 714354, 452028, 689794, 751126, 845966, 973132, 795264, 635322, 751994, 858957, 13784, 691166, 415378, 146498, 592961, 496881, 532902, 893046, 359761, 184172, 583909, 467719, 235304, 8233, 545538, 955488, 856056, 332097, 148920, 835656, 823916, 70479, 646851, 61016, 297619, 56182, 95305, 91571, 233590, 244935, 898089, 935050, 786195, 132997, 727623, 654666, 880054, 85034, 577990, 204576, 198853, 7566, 71827, 698008, 764035, 883662, 330445, 593974, 728547, 15722, 796085, 605369, 969894, 162506, 469256, 932848, 519096, 735618, 731554, 836098, 122425, 795520, 768137, 973075, 946350, 579177, 229837, 922612, 808326, 638261, 864863, 742441, 263023, 818902, 657098, 285788, 448236, 920883, 439189, 857515, 105212, 360155, 193321, 777187, 120933, 807102, 129620, 743919, 410403, 981049, 305159, 583396, 474049, 948753, 965255, 743453, 349677, 934291, 786294, 394774, 858536, 855434, 547111, 544013, 866860, 970407, 70268, 678696, 412232, 798044, 57443, 912678, 695665, 380802, 462416, 456026, 254434, 322705, 572850, 681147, 291512, 10185, 70068, 575890, 47229, 624003, 748884, 981263, 380910, 365657, 705877, 759769, 834759, 905230, 515247, 937019, 800674, 517827, 557954, 968767, 978187, 962478, 781779, 38886, 258237, 815105, 434005, 719563, 840548, 563637, 719403, 206342, 34113, 861852, 845969, 829615, 622251, 347614, 517785, 659332, 425093, 889252, 695971, 608010, 544912, 582000, 818600, 227285, 313225, 759250, 717232, 80125, 699932, 839690, 886710, 778399, 202062, 897582, 313083, 947524, 841817, 406612, 332669, 226152, 15682, 614915, 734100, 877880, 882905, 77521, 944313, 487376, 168623, 390858, 115583, 362950, 520693, 829366, 166115, 549820, 358739, 392238, 688514, 540210, 646129, 40018, 510857, 731879, 399660, 475627, 474926, 406313, 957535, 572851, 351395, 543812, 573767, 339403, 173477, 613577, 386703, 441581, 515133, 187905, 412506, 111150, 777579, 29139, 177741, 243329, 684087, 478742, 510556, 114387, 557545, 465111, 983468, 504191, 445250, 448478, 617459, 480357, 866407, 877703, 708420, 163907, 647995, 79441, 180102, 166216, 250203, 70026, 879978, 223578, 166206, 602025, 683932, 441771, 806771, 315507, 948315, 138273, 29471, 239292, 893193, 619933, 206203, 74049, 519519, 368453, 829580, 978461, 828884, 955159, 440464, 405691, 894349, 351042, 143920, 523825, 777578, 418996, 122665, 499580, 7142, 667588, 291706, 141996, 254565, 23941, 772328, 922466, 169104, 956614, 121088, 717721, 639646, 967381, 784411, 882991, 566256, 536504, 323251, 498633, 519024, 954957, 940993, 304240, 504924, 836857, 813728, 376, 518745, 107100, 229543, 557872, 34919, 126256, 207218, 73485, 157004, 364813, 980029, 769320, 343993, 496697, 137467, 689731, 680647, 827089, 987828, 510485, 355884, 76025, 528899, 498030, 511090, 898933, 383390, 922602, 3125, 345368, 227718, 762145, 181073, 180263, 544246, 925759, 654283, 857855, 36505, 411622, 688859, 167816, 692135, 321176, 85559, 483961, 572826, 483070, 727164, 679963, 392286, 527594, 770722, 354527, 204744, 788374, 470798, 957770, 260804, 350881, 976942, 386073, 271110, 114697, 967539, 655576, 17637, 715874, 688489, 256406, 400455, 397755, 100528, 913916, 392549, 864328, 347647, 780106, 509938, 980974, 682481, 334031, 262690, 911491, 295725, 66801, 83647, 469756, 483316, 905640, 178561, 317028, 94015, 249143, 352792, 703484, 80040, 71234, 198493, 395362, 6340, 900695, 631890, 52916, 70639, 785063, 102102, 142330, 560145, 380634, 666373, 158038, 161339, 570033, 336170, 874934, 574643, 712205, 892568, 310835, 688685, 617821, 711498, 705570, 652195, 754016, 111624, 735723, 187010, 409558, 566872, 987456, 669078, 633100, 15569, 942941, 704314, 131150, 8638, 13991, 623919, 261665, 946977, 225611, 985260, 917743, 492637, 297898, 417368, 390677, 549039, 448988, 771900, 712710, 962296, 772686, 976824, 509550, 457350, 373613, 780787, 408715, 704480, 639202 ]
990,077
[ 398132, 958837, 173481, 948764, 797154, 161215, 847660, 230010, 687751, 615378, 518118, 807401, 888118, 522726, 178917, 306960, 701611, 426159, 969750, 576406, 38910, 296807, 81411, 334028, 361267, 136088, 257103, 555428, 244649, 551570, 885937, 611163, 517213, 637191, 809030, 585999, 459802, 695657, 633462, 435133, 21874, 49397, 873362, 53937, 332111, 605103, 150510, 598744, 213975, 651273, 477232, 459583, 37239, 683920, 532418, 780645, 324297, 517543, 368049, 926559, 370641, 89503, 971572, 953355, 372586, 344401, 884173, 954679, 249010, 499962, 655238, 204312, 848305, 797461, 352757, 449209, 915448, 173170, 552567, 689557, 63385, 785134, 648516, 660911, 661457, 323783, 168624, 694509, 726514, 673129, 466299, 852770, 343499, 83321, 784632, 794528, 819209, 183137, 9181, 789479, 624316, 292479, 159963, 687251, 5478, 903964, 505719, 144622, 900168, 918196, 654407, 547186, 831403, 913114, 667010, 18991, 105075, 93109, 109213, 212906, 167053, 505587, 642463, 511644, 710749, 697345, 581298, 733478, 422426, 972885, 603954, 112486, 656132, 799390, 919026, 294483, 847764, 498355, 383155, 689434, 752983, 852549, 335230, 632758, 637534, 398172, 652697, 12071, 373929, 758747, 194008, 543882, 325900, 487060, 221988, 481348, 670188, 19200, 603296, 420708, 270411, 675130, 877931, 28922, 511969, 971721, 22055, 926075, 669354, 949374, 627941, 101009, 826812, 439349, 271662, 395620, 265753, 78400, 926569, 250856, 273863, 716979, 36819, 976719, 536998, 911529, 729582, 862039, 44655, 141232, 979684, 909831, 711321, 555728, 448286, 907652, 18331, 525087, 74981, 356391, 677108, 799303, 285728, 850239, 771786, 502460, 7227, 354906, 230034, 806806, 812426, 759780, 811013, 385124, 175661, 983463, 86756, 14685, 484669, 95240, 745217, 886487, 837366, 639217, 302406, 417612, 176626, 510231, 249981, 365173, 171712, 401044, 542428, 707008, 823727, 688342, 617883, 848143, 692183, 100225, 686230, 626225, 806225, 360887, 375291, 76684, 692308, 673847, 938835, 845435, 703047, 142993, 833253, 177577, 394223, 13596, 312357, 381725, 312294, 68874, 372582, 429842, 702488, 10021, 491485, 777127, 332850, 865833, 357593, 376728, 593575, 919311, 105183, 34184, 132052, 767947, 342712, 725478, 326113, 296902, 24936, 455291, 595521, 218992, 360281, 540347, 255472, 831311, 532349, 837532, 346522, 889013, 11382, 646997, 936427, 705099, 357129, 684561, 638112, 912733, 539151, 857309, 549333, 969826, 318612, 901558, 888408, 185580, 921247, 851589, 835649, 13189, 333286, 113702, 232913, 979741, 151378, 669250, 752296, 767762, 932944, 587099, 371671, 188965, 324281, 10541, 89476, 961270, 913189, 886990, 945871, 459823, 764466, 14727, 223698, 677437, 247474, 442720, 110767, 570753, 727829, 728029, 908880, 27230, 852813, 699314, 968441, 503192, 402720, 437436, 342411, 954060, 662115, 431653, 115052, 508604, 190863, 39857, 625526, 649496, 566539, 42324, 537466, 868643, 980568, 894317, 525017, 441858, 144796, 804746, 700843, 164585, 811039, 63983, 245885, 966046, 728141, 511733, 673808, 742323, 801634, 652524, 720003, 987086, 229561, 743457, 15041, 461738, 796214, 223429, 420133, 861714, 716898, 548366, 172367, 67367, 655934, 935135, 306173, 841115, 144532, 962214, 698285, 341226, 31875, 487764, 198266, 821396, 888402, 843612, 917347, 329809, 69974, 228647, 306004, 676503, 220756, 30439, 889132, 214229, 51367, 533366, 507072, 128433, 369060, 972059, 383099, 283025, 2999, 119482, 335554, 483778, 812313, 553245, 381038, 802548, 468166, 323567, 641923, 688629, 232292, 268845, 564250, 609598, 339790, 962722, 931725, 790872, 164565, 255990, 296082, 786668, 663351, 135570, 893495, 167904, 569751, 105678, 375567, 682315, 850566, 387476, 494825, 30288, 114332, 96177, 700707, 584867, 606433, 724213, 932315, 53706, 829076, 595623, 235541, 814010, 982035, 230852, 734959, 263014, 656120, 608260, 495489, 185282, 840064, 737191, 328555, 380810, 142914, 649781, 300140, 819029, 858406, 927092, 396178, 229388, 704636, 429225, 69757, 263324, 518514, 257113, 404904, 228520, 496437, 518977, 769571, 134791, 172954, 39389, 100652, 930462, 567738, 196935, 614981, 522959, 61729, 877841, 357544, 420041, 175295, 116251, 661204, 123, 882392, 643315, 238393, 233937, 460137, 382300, 234191, 771336, 442476, 640610, 297459, 229551, 461225, 208945, 957580, 406315, 647922, 241803, 770744, 199316, 679778, 802432, 438190, 468523, 14299, 135486, 186130, 150161, 91437, 387306, 192177, 842101, 725675, 558667, 540021, 346907, 731751, 443895, 222605, 697463, 874578, 132547, 429990, 705634, 705920, 964085, 157665, 292959, 195335, 843630, 923313, 70792, 103200, 5412, 750914, 690343, 581208, 270546, 945181, 113094, 315120, 51510, 362976, 228191, 188180, 403353, 250029, 191892, 304720, 558111, 105058, 134923, 984118, 517058, 475208, 278574, 882111, 765649, 711442, 30627, 541251, 961808, 282561, 24045, 659759, 877946, 658222, 952461, 513554, 766308, 757683, 901649, 5660, 637700, 14365, 32332, 872522, 811536, 254482, 740113, 188849, 941724, 839390, 16335, 354902, 382876, 327381, 787480, 424857, 31175, 657127, 891427, 629037, 849203, 432054, 758626, 377015, 458035, 664185, 873938, 332234, 251862, 772370, 286827, 876229, 629990, 900526, 653937, 779541, 219985, 720531, 440687, 473527, 103769, 161461, 921555, 942175, 733533, 781283, 546023, 103625, 312607, 988694, 869720, 143198, 357474, 452531, 220925, 82765, 884177, 722738, 83635, 269983, 894992, 751745, 621178, 961014, 690310, 493889, 567871, 319534, 687051, 260982, 773409, 823545, 82927, 756530, 395700, 843679, 620811, 580729, 720712, 909282, 543183, 457755, 899289, 501313, 580022, 400986, 77569, 384058, 210890, 51847, 68655, 58691, 323794, 390160, 914684, 452994, 662591, 394585, 186866, 22090, 378319, 8377, 972992, 218137, 502019, 687433, 182631, 832176, 316561, 13145, 474421, 787509, 937011, 182341, 458466, 859274, 564716, 313995, 238279, 364618, 977034, 569304, 511656, 635310, 877033, 917210, 136269, 859605, 385170, 766091, 966682, 356046, 689048, 259089, 151089, 312048, 117625, 850615, 982562, 526868, 503238, 897952, 13524, 377029, 226311, 679964, 347551, 831742, 692207, 529823, 864176, 702519, 729916, 969695, 326098, 573901, 215827, 824511, 338816, 424070, 546087, 503336, 804974, 973435, 933327, 960715, 713907, 427562, 569387, 376207, 13267, 852815, 373752, 251771, 404792, 726493, 152407, 587679, 229803, 795257, 948033, 699641, 975896, 575771, 919324, 593214, 882206, 137136, 204402, 682924, 263, 240893, 491435, 27868, 381258, 930418, 781588, 212916, 745604, 114038, 510760, 784795, 709935, 464257, 917632, 264680, 306975, 134013, 867948, 216395, 723403, 914177, 900651, 246006, 362059, 939376, 554193, 63779, 442146, 808240, 126577, 801979, 754326, 239822, 153299, 440075, 814542, 691072, 289245, 529945, 372404, 344708, 390213, 506189, 846769, 389541, 113486, 27307, 171213, 16565, 53359, 779349, 720607, 275669, 529914, 448112, 18403, 561410, 658306, 535140, 239478, 134501, 180135, 434491, 791788, 331264, 577303, 704721, 977965, 26410, 625792, 274974, 74669, 323286, 481831, 356781, 807148, 168378, 946747, 915586, 930750, 840453, 825102, 755419, 323004, 306496, 300161, 920361, 852797, 642880, 265811, 224068, 775366, 256926, 516964, 158634, 112302, 565143, 645626, 851993, 949087, 27503, 658991, 833967, 898625, 519977, 674514, 204026, 27385, 923364, 680585, 624703, 239028, 416140, 985063, 39088, 155540, 565815, 155145, 824028, 199253, 187822, 379806, 986201, 61338, 824907, 595107, 236865, 975604, 88829, 42494, 175047, 848704, 537332, 210233, 654344, 60564, 672802, 209246, 742073, 794277, 893877, 465048, 238969, 259555, 331057, 788268, 37304, 972573, 213712, 690529, 130680, 958482, 863674, 357777, 226775, 376305, 308689, 197844, 795997, 754717, 789589, 327195, 530277, 53476, 459727, 613854, 384687, 23472, 402415, 308217, 92858, 212993, 692483, 889445, 666151, 183699, 203500, 485379, 17269, 419226, 227950, 136272, 490294, 37308, 449556, 342550, 401510, 455209, 230683, 882976, 362627, 272682 ]
990,078
[ 879129, 730327, 873880, 313284, 458603, 466794, 17005, 433816, 447209, 562012, 535634, 446139, 7408, 797962, 638512, 728644, 146841, 346935, 958740, 910973, 349002, 602768, 140482, 785124, 448947, 204, 598665, 521990, 320263, 163428, 475086, 114863, 790533, 44638, 849155, 558781, 35645, 455142, 613865, 943972, 945512, 911093, 6048, 155142, 279229, 365208, 59054, 339342, 699007, 618944, 4814, 566805, 722937, 216706, 316805, 666, 192644, 508507, 535265, 780036, 97200, 925407, 560483, 292256, 843873, 625698, 246516, 859247, 96623, 21661, 624683, 757352, 584965, 4306, 869057, 429852, 195602, 5694, 500378, 989282, 381489, 26061, 43317, 793080, 988067, 133509, 435317, 542599, 125894, 751710, 519893, 975368, 174880, 867457, 155318, 828327, 250353, 807541, 858915, 254325, 355607, 713553, 188554, 640099, 815937, 71050, 811120, 554458, 790432, 144570, 577419, 984821, 473373, 556628, 349856, 474430, 452539, 832371, 659960, 980758, 862169, 113804, 130201, 106956, 157539, 190699, 349758, 570894, 677519, 675262, 681646, 415488, 67076, 88770, 402282, 35935, 392475, 4290, 389296, 797600, 530635, 735727, 324013, 133051, 356284, 909561, 294050, 318772, 797987, 569044, 893642, 790520, 676118, 757969, 750381, 849290, 949164, 57186, 805349, 487130, 245929, 450058, 408826, 272268, 151350, 407609, 876691, 64379, 271178, 96159, 273879, 681506, 48011, 435625, 600284, 981194, 432127, 41031, 558961, 412239, 160327, 840794, 258252, 10449, 29495, 55225, 76178, 500173, 212037, 567910, 254419, 409528, 896276, 310970, 619896, 371346, 525018, 617850, 970723, 135539, 861335, 739811, 898051, 923290, 957191, 776106, 784240, 763471, 615538, 301207, 533937, 540314, 81469, 731988, 355724, 342396, 765248, 448854, 240880, 454643, 571603, 316793, 148332, 419720, 645198, 657211, 799485, 251254, 201079, 378956, 545224, 307723, 747512, 334133, 486580, 736043, 790563, 563717, 89512, 900136, 630751, 602171, 974961, 404789, 150450, 290821, 888550, 967525, 361806, 840527, 756043, 33342, 755743, 643049, 174301, 440855, 464644, 876642, 311045, 290115, 870018, 475317, 838004, 428960, 908036, 190712, 76281, 1295, 239984, 733606, 350144, 667103, 506829, 305175, 960386, 952780, 540642, 93803, 41954, 722960, 976624, 13575, 936397, 743062, 769440, 356033, 493112, 517078, 405180, 426760, 866575, 134682, 489007, 117204, 872836, 119273, 36475, 566840, 789504, 658330, 167088, 562617, 312588, 695643, 443777, 335490, 676682, 274758, 656398, 327430, 957115, 624743, 307004, 736361, 140336, 412624, 820840, 815138, 71412, 262875, 624521, 477209, 347078, 280290, 243481, 872486, 86278, 528286, 298723, 708964, 557975, 569937, 200410, 918996, 4606, 229749, 898858, 227620, 257030, 371496, 710475, 813465, 854608, 384262, 26954, 863501, 259462, 607126, 829156, 640981, 64843, 556137, 597593, 988734, 658380, 868617, 725715, 782924, 551089, 382254, 772205, 398648, 498499, 407169, 344205, 351993, 919148, 286145, 963096, 764240, 744057, 248623, 586397, 524137, 527630, 62432, 824905, 45175, 367379, 438357, 608247, 109408, 882302, 1222, 685287, 938672, 697908, 850251, 981205, 902129, 802713, 51468, 221787, 915429, 601697, 271534, 954202, 389862, 612506, 422842, 803321, 412447, 411227, 775525, 810185, 647897, 279931, 680986, 212102, 294842, 983313, 322522, 517869, 168318, 52676, 750952, 302648, 611743, 538926, 486906, 301868, 451820, 287757, 868172, 364447, 949859, 433685, 950013, 880056, 665696, 506349, 535179, 824935, 630313, 846609, 202866, 243655, 771584, 853249, 884726, 713859, 917480, 891855, 180144, 508030, 76753, 383901, 197931, 187809, 862739, 941070, 502646, 366135, 296221, 695966, 169119, 977158, 880328, 928244, 577745, 975872, 586957, 519985, 83932, 576530, 94779, 384362, 974244, 686756, 965233, 397287, 121150, 664501, 868152, 118963, 515046, 876541, 820112, 552099, 358420, 528251, 598694, 545653, 443299, 62730, 27366, 82156, 680738, 565501, 288167, 396661, 952092, 594436, 799150, 166066, 786989, 393482, 353191, 357729, 57358, 608176, 815529, 663904, 318961, 551690, 386080, 888106, 416279, 214245, 480320, 976932, 341437, 797078, 721864, 97368, 461033, 50586, 382728, 313555, 471017, 843301, 604757, 200536, 189277, 25635, 267890, 463447, 790341, 29757, 933316, 48578, 770882, 812605, 143711, 69001, 274316, 865360, 912779, 182948, 506913, 273105, 62944, 871840, 662044, 293850, 632588, 267585, 738576, 309696, 240399, 719061, 296835, 304444, 801985, 906882, 269789, 566818, 210579, 120246, 594317, 741874, 740880, 927927, 971089, 32355, 330690, 140879, 650149, 44018, 3713, 156223, 360743, 272553, 234682, 894825, 475821, 626370, 586273, 104857, 485455, 836290, 226653, 422900, 527740, 311325, 916259, 970582, 846676, 552137, 529732, 773576, 618405, 687512, 874272, 86412, 124435, 6495, 786482, 220330, 488929, 57410, 529145, 298191, 684586, 616561, 805519, 452254, 833512, 710048, 778387, 978079, 173912, 116012, 175528, 336570, 447572, 690362, 532153, 391428, 923839, 299738, 687951, 810393, 277004, 511292, 220593, 965483, 21223, 713802, 882967, 396439, 963581, 254476, 204774, 49327, 159588, 972966, 393755, 637598, 867145, 551960, 736728, 198352, 506736, 238984, 184370, 48681, 348899, 815241, 527528, 364468, 253444, 390672, 828412, 783336, 9864, 54481, 743151, 341325, 928118, 31151, 779407, 710814, 292319, 273479, 313433, 783275, 549208, 778126, 788406, 52445, 260559, 479907, 193821, 73151, 616339, 57290, 239373, 70923, 502978, 78389, 784025, 858659, 460068, 64788, 530012, 672578, 166528, 804471, 320122, 911085, 601852, 258034, 910478, 866043, 534055, 847647, 387964, 379027, 154313, 311074, 843655, 747827, 756921, 673366, 642999, 152582, 694513, 572533, 555147, 386785, 276882, 41910, 826106, 53391, 76292, 1537, 33112, 954454, 5577, 757836, 160978, 180235, 684784, 748988, 407329, 970237, 312988, 208858, 416349, 669084, 806975, 47655, 882411, 477619, 268123, 964615, 625177, 38701, 431594, 568002, 659997, 711735, 369116, 894614, 729326, 606174, 902312, 341641, 688932, 326278, 750063, 820569, 456244, 1495, 623556, 151565, 5943, 671856, 192028, 854999, 436250, 561170, 798670, 216452, 912057, 665735, 414334, 448418, 254539, 576552, 758692, 778431, 811371, 483285, 416029, 253869, 267072, 852794, 446231, 831091, 215807, 56465, 199209, 69029, 711800, 970902, 734536, 56236, 447740, 151022, 413857, 262327, 830418, 654381, 346622, 418231, 38651, 553017, 236972, 669045, 511442, 123112, 431609, 623218, 152475, 739592, 529799, 502453, 481913, 898945, 145836, 404588, 122961, 331553, 34162, 131697, 612976, 39297, 752434, 398527, 229712, 153327, 446526, 748120, 640799, 947857, 852, 414287, 705918, 278441, 842634, 487823, 645576, 836674, 254686, 83116, 939221, 570702, 325535, 591943, 575717, 604456, 118478, 212177, 712633, 306428, 751426, 779982, 378629, 788174, 595789, 132714, 558799, 439308, 834094, 214477, 927535, 984556, 108952, 334155, 120882, 79848, 740033, 109928, 98075, 936081, 907969, 406109, 389664, 65818, 147841, 312689, 473470, 924674, 594768, 859535, 721253, 226392, 45905, 673302, 550571, 36837, 821170, 905463, 150571, 415494, 101778, 912962, 877496, 301529, 720806, 772478, 258647, 104183, 175814, 845182, 918687, 833644, 145161, 477520, 804026, 427385, 567887, 52286, 894360, 487212, 548796, 782650, 712877, 205670, 469611, 178675, 338413, 252944, 635118, 534926, 405809, 752213, 230313, 696100, 805055, 887858, 112997, 225320, 130618, 208646, 41026, 20641, 68390, 88554, 815536, 257132, 767791, 956186, 746195, 508845, 81326, 98145, 901209, 535466, 765339, 485052, 141556, 455391, 402419, 502597, 298281, 34563, 474543, 564833, 707060, 12475, 873520, 175140, 762201, 923971, 940748, 411053, 347940, 867106, 772841, 619697, 163021, 979292, 112052, 325862, 452544, 557150, 251151, 869943, 363754, 93446, 607142, 878390, 348400, 451671, 555334, 901765, 513685, 538838, 770021, 464493, 610959, 105243, 246220, 179244, 93633, 264091, 702443, 175207, 858809, 648582, 719841, 276902, 829284, 299032, 382556, 106743, 122766 ]
990,079
[ 714975, 964478, 573642, 321315, 15374, 214284, 193955, 332737, 854028, 78220, 30223, 412866, 252249, 27536, 483214, 591049, 261146, 154430, 791575, 486492, 881812, 947971, 51133, 59726, 242902, 375680, 448624, 378017, 921097, 76644, 63851, 889821, 746948, 793245, 491720, 339715, 58085, 738433, 680867, 379463, 851145, 188920, 974142, 516020, 672323, 728031, 450644, 277753, 963707, 825245, 621629, 296278, 45855, 483632, 85808, 37959, 262756, 470960, 943599, 585402, 6444, 653150, 240444, 583504, 51938, 114868, 444513, 912095, 495599, 980148, 578693, 882346, 118376, 365385, 361280, 838988, 929190, 186356, 631716, 807579, 167014, 225844, 111563, 26172, 241030, 86578, 421815, 458074, 627372, 13729, 749520, 686836, 826690, 333019, 54852, 835889, 440928, 776892, 631073, 438607, 601222, 523742, 774278, 10741, 103583, 649945, 338684, 526270, 165821, 204883, 70638, 762390, 968849, 492546, 223357, 557822, 602197, 462884, 729312, 661037, 331437, 121173, 368542, 468329, 653801, 716970, 235491, 13870, 147759, 538570, 43584, 937068, 398980, 918464, 171821, 409734, 177623, 123878, 982985, 165168, 188413, 782825, 987563, 800501, 435174, 575365, 334027, 937570, 406701, 829622, 410811, 560167, 71868, 435525, 655056, 694089, 637183, 254309, 751076, 565528, 856627, 932099, 916212, 525789, 794363, 875093, 345258, 332782, 918826, 273203, 797689, 703502, 920814, 854911, 502251, 232582, 69644, 764366, 79783, 946918, 746108, 328956, 793494, 974451, 417930, 584892, 25173, 697448, 370738, 894150, 944747, 626522, 215939, 844292, 385277, 235110, 106687, 617559, 409328, 12982, 400762, 76189, 647119, 402521, 713766, 394258, 448265, 68411, 295591, 227672, 646514, 153698, 587645, 219663, 695507, 451351, 34362, 525782, 169397, 372743, 50222, 605455, 464626, 597568, 7931, 468020, 291940, 864826, 922654, 440334, 780714, 749041, 735435, 60672, 336615, 517759, 501164, 322113, 988178, 504277, 159790, 371172, 27272, 637962, 986340, 696709, 224493, 679616, 343368, 718554, 198944, 793407, 655173, 590250, 42594, 337299, 127867, 2014, 924743, 749239, 241636, 737857, 425854, 955817, 49927, 153266, 447213, 770277, 445102, 71118, 603252, 489251, 112824, 619536, 158860, 171399, 540439, 462343, 830910, 295733, 951985, 291588, 16993, 60623, 779502, 300118, 741698, 811969, 249013, 825227, 985219, 527825, 580008, 27101, 34684, 465637, 782294, 223951, 296326, 897650, 320018, 350376, 917309, 15526, 943160, 139508, 88173, 906295, 37307, 324439, 39713, 746639, 469746, 596225, 911977, 931550, 785609, 876451, 616931, 477539, 945424, 592404, 83942, 657050, 30022, 67434, 331705, 256571, 708258, 927696, 759656, 493220, 289346, 50566, 811628, 353609, 303066, 777302, 727170, 683385, 194339, 752649, 659133, 131330, 145931, 528883, 633699, 57923, 4897, 133651, 141714, 302033, 223320, 229867, 83977, 218847, 231489, 579247, 3106, 511625, 588082, 584838, 676633, 239216, 179148, 690327, 274762, 682458, 669216, 923737, 55677, 853446, 13008, 970565, 498664, 952612, 452096, 832069, 14781, 551901, 261810, 135282, 652732, 13937, 33473, 325623, 807902, 921258, 658400, 193044, 599322, 189052, 810955, 414301, 628019, 147194, 191375, 492116, 380382, 930312, 227654, 764083, 69993, 142367, 76602, 47761, 631701, 833878, 734602, 290364, 455154, 689859, 503522, 727504, 506233, 567575, 180544, 107919, 81551, 30190, 21826, 187944, 741293, 944227, 902437, 284708, 976785, 721892, 401198, 180766, 674984, 141867, 414856, 776454, 630222, 538017, 817279, 574476, 558582, 494601, 768239, 708001, 933248, 809729, 533217, 460936, 317233, 909284, 149936, 474663, 108305, 947526, 706653, 911447, 856806, 658980, 463583, 318325, 319537, 10923, 523119, 408250, 6146, 734317, 69483, 356303, 54712, 106248, 166351, 780911, 602618, 861205, 912054, 206709, 630024, 520655, 784361, 4360, 195897, 487569, 734366, 279759, 215094, 662530, 564014, 309767, 225141, 587910, 883740, 399370, 818017, 499957, 477164, 333828, 493087, 539043, 483079, 618626, 884575, 908188, 484915, 703108, 282332, 309259, 278948, 106492, 922480, 592392, 466581, 491094, 382368, 50651, 161026, 168442, 392891, 222467, 962666, 987251, 739688, 569627, 389387, 150505, 295980, 450329, 258031, 505299, 394658, 627931, 651699, 772413, 714953, 907973, 803647, 173389, 750773, 356865, 717254, 552698, 387487, 921138, 270232, 975734, 923717, 521378, 530243, 722226, 536952, 322236, 624840, 112434, 415880, 954109, 648915, 320491, 296144, 347355, 870059, 76760, 765418, 128616, 474242, 942379, 464089, 373249, 464339, 983364, 678728, 546336, 827269, 433589, 327416, 510508, 82872, 128696, 459706, 891162, 574163, 357062, 448314, 306980, 251444, 941236, 379109, 710951, 725856, 330911, 547984, 888542, 207482, 297624, 976658, 570473, 907896, 914910, 171745, 186709, 956154, 161964, 234341, 366554, 643960, 620400, 134840, 605261, 917534, 760103, 420288, 409767, 83928, 782933, 395621, 865443, 453199, 484352, 587004, 870415, 315818, 94696, 391276, 525093, 790350, 357279, 658073, 363063, 227601, 565986, 631491, 157578, 602285, 515369, 462063, 159848, 208893, 29820, 704891, 65849, 243784, 930123, 487007, 892991, 129204, 47929, 237988, 704394, 722062, 581102, 739319, 900398, 960151, 728454, 59009, 542876, 92007, 609002, 234685, 413415, 550887, 72618, 597842, 415111, 121900, 93180, 199046, 940978, 289299, 392274, 694999, 715144, 107204, 888075, 309710, 21713, 22217, 182145, 886700, 220913, 68226, 94811, 93143, 312968, 782863, 732927, 577128, 417018, 967357, 906833, 767964, 983993, 94353, 735095, 860424, 507598, 94109, 572860, 700264, 51354, 846215, 84558, 616718, 590171, 939645, 859474, 534085, 53637, 386874, 561558, 568834, 356290, 787239, 459981, 158199, 180351, 734888, 295581, 776398, 239619, 932746, 731891, 564309, 944279, 554183, 462393, 989050, 342818, 269221, 197312, 86104, 881162, 213348, 301524, 308494, 886589, 461063, 586154, 556806, 31502, 908084, 940491, 379723, 972429, 822404, 885062, 396313, 141405, 34655, 730729, 274550, 61593, 551039, 652920, 553662, 669699, 385484, 331594, 313134, 986863, 469294, 924029, 285115, 519705, 737590, 662290, 8830, 771841, 786435, 529847, 579971, 484504, 10318, 777535, 487839, 839396, 134829, 730401, 827495, 249214, 554019, 987112, 99116, 502496, 639314, 565293, 773334, 448870, 856127, 277999, 263202, 892111, 148939, 252862, 668360, 382317, 556513, 211457, 434490, 416086, 665639, 4807, 837278, 903165, 560984, 490205, 620901, 932963, 413216, 834961, 941625, 175700, 217219, 744112, 149238, 108576, 451080, 266981, 50765, 543246, 577352, 299119, 430608, 617298, 882560, 462986, 706246, 335724, 942485, 475932, 389928, 455397, 262085, 128912, 559157, 300408, 687267, 441285, 57161, 971797, 434568, 199146, 456703, 505947, 941567, 308578, 842747, 374450, 951271, 539867, 134322, 503188, 384634, 215604, 837703, 317395, 208824, 252684, 186687, 586004, 484411, 498556, 416045, 264189, 508012, 468201, 128673, 611117, 549923, 925795, 750931, 507449, 942800, 921452, 647268, 579521, 789346, 1918, 345868, 768057, 989711, 164050, 542730, 198990, 369009, 305204, 170832, 80845, 406783, 904004, 978065, 404832, 199093, 110437, 343563, 497162, 36288, 954564, 210732, 541315, 978374, 727135, 684232, 753702, 966237, 207508, 450657, 564992, 720728, 15907, 595256, 266859, 77198, 857789, 796538, 166921, 88200, 755658, 218635, 266933, 692307, 54773, 395739, 657150, 302155, 54866, 52716, 501958, 647687, 343713, 366569, 893711, 520470, 662788, 863161, 208417, 595197, 850021, 241550, 884587, 532451, 62911, 49111, 23107, 267002, 206400, 435484, 885260, 308685, 199117, 668566, 762910, 596064, 710574, 568914, 57980, 511327, 405930, 857724, 101683, 747977, 541831, 272262, 266963, 254643, 303784, 698115, 613304, 892738, 375937, 190963, 298509, 23305, 377380, 64919, 446924, 846222, 186959, 53142, 130502, 821907, 696332, 717799, 363006, 792403, 125975, 294584, 563675, 229498, 378874, 527376, 824384, 971811, 618173, 521257, 751542, 568279, 234043, 777483, 654826, 438237, 134230, 493665, 769236 ]
990,080
[ 662586, 569388, 146530, 603823, 784673, 339191, 423685, 184839, 141317, 70219, 781287, 726162, 759860, 523287, 757910, 772243, 924221, 296936, 989506, 843376, 408634, 832238, 949861, 871993, 5650, 856499, 783995, 139818, 32679, 505391, 767950, 790663, 136794, 102858, 902130, 464421, 867301, 105380, 964120, 402382, 413364, 149186, 683338, 821836, 100187, 872412, 816408, 555605, 91089, 311352, 654823, 965802, 599991, 924789, 36856, 306161, 692052, 921950, 437589, 415993, 540360, 442613, 820925, 739764, 340467, 675189, 674046, 826464, 100313, 725052, 852287, 38526, 664192, 849001, 909710, 353812, 871210, 132548, 898769, 383535, 581860, 725978, 319886, 155165, 429035, 652069, 583489, 223107, 296567, 924631, 716423, 311556, 846950, 207520, 387852, 930486, 160266, 294281, 411242, 631900, 508345, 445661, 964343, 779684, 571322, 209871, 153005, 753986, 849707, 887086, 22489, 209733, 120801, 84415, 566195, 343658, 724129, 109348, 140810, 922445, 795760, 244016, 191585, 988432, 676309, 899969, 426025, 760097, 877699, 364925, 636368, 570512, 520702, 603650, 582202, 601873, 228554, 179747, 858918, 75214, 230395, 29215, 797961, 339497, 714764, 449736, 532149, 589843, 430356, 57535, 245734, 614933, 171911, 686269, 187998, 511005, 59642, 881908, 951457, 652361, 159401, 703481, 828245, 139945, 306901, 87814, 665909, 306513, 601644, 53128, 662678, 630531, 118507, 769175, 751369, 792000, 559656, 8770, 975118, 45542, 286298, 569039, 611008, 662080, 14242, 565311, 736003, 422754, 715926, 477603, 981524, 494392, 607434, 580705, 756470, 443722, 498363, 360728, 746952, 429245, 618787, 728921, 798068, 729226, 514321, 757913, 557504, 17599, 82843, 245441, 423889, 785318, 675136, 16255, 383691, 461360, 412469, 909458, 88117, 61205, 623006, 552415, 13922, 119191, 21339, 388179, 315756, 182273, 165741, 522126, 791991, 168903, 886712, 558401, 184620, 310975, 313812, 151102, 870982, 499885, 297977, 352313, 962385, 115417, 863035, 829865, 310008, 723710, 143334, 72885, 972584, 140187, 14571, 294822, 276642, 393163, 772393, 561235, 225305, 96076, 868221, 131607, 231466, 870116, 41857, 256497, 314910, 555908, 238848, 809860, 424735, 157138, 984257, 192958, 68698, 578574, 775583, 694042, 639892, 399795, 314406, 32148, 448129, 924408, 942029, 729122, 921268, 819395, 633879, 67965, 15476, 20654, 40834, 224240, 644208, 491801, 42458, 593264, 849883, 736922, 368594, 34096, 224198, 344707, 229983, 712175, 963402, 265786, 115661, 442052, 861630, 586719, 589658, 454422, 352404, 671078, 618588, 910731, 210722, 323337, 798753, 891284, 268380, 652038, 275380, 124413, 514905, 81891, 698906, 339508, 837008, 273727, 136942, 302451, 721171, 860349, 961043, 848623, 841083, 106354, 693667, 585133, 460191, 449731, 53490, 958208, 537482, 26381, 501436, 179411, 583012, 331522, 606724, 104642, 377322, 269593, 989929, 369113, 11673, 651079, 362671, 612241, 428982, 182644, 979545, 546910, 32457, 377399, 754219, 926852, 482944, 833468, 347910, 776630, 812901, 57727, 635052, 744958, 294907, 112235, 145054, 596239, 541496, 345611, 385268, 951116, 925226, 452347, 307100, 192220, 252009, 854591, 713616, 983649, 185001, 715566, 53368, 390141, 350165, 445196, 731370, 27763, 973918, 291704, 215311, 365137, 84038, 673317, 641019, 641390, 407052, 563007, 265069, 555401, 919181, 100189, 181081, 216674, 221215, 431592, 885921, 384156, 213399, 104873, 767091, 213698, 41472, 513222, 280682, 340127, 501362, 752358, 350340, 271773, 348869, 99228, 456352, 607152, 937978, 591520, 344363, 16907, 894964, 22833, 582567, 273613, 71613, 407314, 523427, 750029, 162165, 99310, 466994, 637776, 841711, 645924, 603144, 265720, 541231, 474439, 194060, 24368, 975340, 155717, 414337, 328401, 45630, 636793, 426767, 391819, 223173, 737407, 749205, 874499, 412675, 180970, 739600, 355698, 740866, 502397, 689179, 550618, 391355, 513102, 517590, 952006, 941327, 696230, 932844, 717923, 954221, 754210, 714554, 122341, 689423, 466652, 90238, 801042, 724753, 716886, 888352, 455920, 883222, 765703, 475798, 318060, 305091, 926229, 289812, 514814, 533993, 564043, 765279, 860651, 241458, 272560, 266457, 806341, 579008, 466600, 983819, 390685, 734814, 631572, 602613, 754191, 329216, 96229, 519143, 561123, 78153, 606493, 857940, 654136, 670777, 487194, 13406, 109235, 621350, 365262, 263719, 531368, 840616, 293257, 311057, 359119, 614319, 410719, 956116, 960044, 537073, 418361, 296598, 708795, 71744, 221350, 494705, 168406, 777913, 345749, 456840, 913136, 255962, 400206, 118347, 198457, 762581, 796296, 972382, 267444, 795551, 537619, 565129, 938930, 193759, 484953, 74097, 301327, 583976, 957468, 230540, 459281, 982104, 514890, 966394, 529380, 232130, 564723, 555790, 893932, 908706, 632869, 207344, 38501, 81068, 949638, 136159, 458420, 242614, 53506, 758461, 879966, 227493, 829297, 472925, 141938, 484967, 873657, 35397, 422812, 157099, 389873, 883676, 290938, 800533, 667074, 758578, 443669, 191521, 498017, 165594, 98759, 26618, 639365, 887320, 103771, 362740, 209059, 121545, 231096, 658901, 495813, 579425, 76955, 456142, 231018, 436176, 225706, 228986, 888751, 979437, 945599, 128305, 679536, 531899, 760829, 530429, 890405, 119143, 336325, 328558, 838117, 46604, 459925, 870622, 134180, 141603, 866803, 33954, 336834, 793907, 661448, 834100, 932785, 944705, 863694, 444386, 48898, 479557, 506702, 286690, 925304, 410186, 405516, 32526, 935784, 322384, 804290, 75275, 986574, 356217, 407561, 683099, 176438, 164720, 922710, 379900, 655620, 677794, 224604, 837735, 844104, 648713, 378105, 384188, 125978, 708998, 493409, 857235, 881838, 278635, 341091, 124923, 266728, 476762, 714865, 9020, 833632, 146577, 653972, 209960, 219541, 227408, 241393, 558848, 756315, 95519, 929300, 773106, 560111, 749597, 399405, 73243, 626207, 979436, 341738, 467756, 339120, 834126, 198399, 516970, 934732, 21987, 378063, 826413, 544391, 504334, 183410, 945138, 956597, 900981, 74854, 774990, 440049, 754368, 218533, 294060, 96906, 689394, 663378, 194713, 555941, 917293, 591713, 24821, 582016, 899074, 169824, 782705, 828793, 508791, 562372, 193086, 794952, 443502, 374128, 375112, 485825, 281295, 862496, 653397, 195702, 967327, 35547, 378933, 497199, 796926, 152549, 163282, 509905, 810298, 983045, 560122, 826004, 640704, 766775, 68579, 799438, 179805, 710203, 805492, 3826, 741746, 306796, 328087, 7303, 138784, 164763, 391624, 255553, 929189, 74215, 737287, 417191, 83855, 952660, 494600, 509092, 8612, 724203, 60971, 732354, 684023, 114219, 885032, 299105, 640427, 975140, 905908, 257965, 987409, 640687, 401581, 724386, 731824, 463768, 962281, 320873, 858349, 612139, 556801, 231634, 33225, 148007, 970102, 802189, 58184, 946068, 273948, 902369, 496333, 731433, 909629, 466025, 290645, 648780, 756912, 822412, 935830, 490504, 66103, 985458, 292470, 554452, 947840, 66860, 305335, 282345, 830528, 702475, 838183, 506594, 918235, 870376, 91613, 31803, 771032, 887701, 852014, 897970, 825427, 657676, 235954, 355017, 816216, 653158, 754957, 358405, 293201, 537806, 344610, 601422, 916500, 127149, 327941, 947654, 448502, 148946, 141565, 325066, 174787, 353341, 83343, 533753, 413372, 172172, 839130, 661834, 223468, 694966, 372898, 499455, 471344, 92980, 151629, 803813, 297571, 356040, 109704, 117845, 151393, 497312, 508192, 285299, 410867, 979186, 456670, 211519, 227609, 583003, 109358, 62250, 319530, 931447, 564686, 257510, 294201, 641340, 93580, 92601, 103153, 423062, 250604, 434277, 513038, 229643, 744420, 681062, 760249, 962990, 849074, 555092, 12990, 204738, 345323, 481338, 525388, 226511, 803090, 94734, 115682, 666425, 436803, 148390, 685051, 622231, 14647, 597967, 37947, 855563, 50062, 55238, 978231, 212868, 591969, 354314, 623999, 270025, 968399, 527139, 567715, 367653, 405161, 11745, 148354, 718536, 231859, 684317, 348156, 511016, 898997, 601334, 192607, 803263, 793644, 351172, 212950, 260388, 840149, 865971, 211843, 411466, 281389, 362859, 962648, 535455, 341316, 231291, 373608, 109285 ]
990,081
[ 346381, 975837, 246019, 899924, 367629, 672650, 96651, 3366, 63268, 338913, 660586, 465451, 168524, 240978, 820960, 846038, 957736, 175996, 438035, 295536, 357239, 773069, 981830, 600899, 586693, 648921, 424630, 433239, 405163, 656793, 57770, 248468, 281808, 586924, 413399, 49202, 951724, 289866, 327169, 628501, 710947, 161345, 415786, 973302, 527991, 655868, 587218, 71332, 684165, 407816, 434556, 262100, 676113, 566054, 639443, 467093, 461354, 195362, 957965, 122903, 868264, 465014, 435042, 613770, 604179, 698046, 495929, 630403, 43693, 771517, 302676, 939668, 693302, 789509, 240539, 474093, 718281, 341041, 584572, 944289, 127302, 711989, 174459, 44250, 297176, 931288, 629704, 958892, 347422, 565998, 92130, 101940, 151598, 458757, 207999, 813362, 43868, 765293, 613692, 935586, 691954, 52224, 845839, 107334, 574074, 33183, 476918, 417511, 665807, 739023, 833813, 426623, 689897, 152465, 288721, 35680, 489098, 408071, 797777, 50267, 435029, 753284, 517987, 399234, 622550, 530926, 904344, 535312, 675892, 646681, 171366, 682498, 988217, 963412, 200424, 409224, 768393, 406560, 555016, 895848, 613808, 431501, 98912, 580529, 571719, 565480, 627631, 653695, 741257, 328833, 514358, 848748, 890057, 285332, 770815, 594916, 309350, 337298, 380779, 341349, 474470, 628705, 410007, 385771, 915205, 310153, 288220, 559060, 331991, 228105, 708722, 189175, 463431, 893844, 427194, 286388, 425596, 475330, 532636, 929276, 164091, 489281, 749237, 563482, 249490, 499121, 906599, 762009, 313897, 308466, 774034, 399586, 435661, 517580, 359193, 100079, 180007, 645061, 412686, 535625, 553011, 183060, 833092, 188989, 539744, 24735, 945718, 217143, 472886, 10785, 736074, 673760, 51945, 569855, 287947, 108551, 979426, 873044, 46432, 221896, 357769, 76087, 839345, 121022, 398257, 574978, 399871, 716125, 140193, 624810, 368763, 676431, 439273, 29299, 696855, 506874, 761810, 225535, 785008, 266953, 869989, 249162, 520906, 214402, 767437, 224251, 566956, 650828, 224649, 294749, 255639, 787083, 201315, 669024, 510991, 780707, 430392, 784690, 58793, 899623, 277621, 172683, 117599, 904418, 372075, 512029, 730047, 267622, 642372, 607656, 766411, 911533, 471163, 695897, 667397, 424687, 176380, 677300, 172982, 577069, 873833, 794328, 844240, 295604, 588641, 378193, 929750, 115041, 176159, 190046, 162248, 827526, 980895, 633174, 199801, 445953, 59530, 781438, 983846, 547695, 713273, 143362, 59084, 60869, 864752, 702494, 413004, 807778, 923105, 843122, 391204, 515187, 437417, 252506, 398017, 785021, 964516, 438124, 861850, 434920, 842140, 923413, 184870, 638822, 60183, 814512, 873142, 981691, 16370, 770905, 444601, 296635, 854046, 814880, 866727, 965672, 354406, 537031, 857129, 485462, 762052, 490843, 412825, 464025, 573408, 282719, 403051, 896346, 887242, 430660, 31477, 350788, 209508, 939804, 224896, 927753, 139490, 147944, 40805, 708837, 348963, 623055, 275244, 390159, 352681, 588430, 605924, 260727, 988892, 406784, 475202, 539360, 702697, 919583, 393320, 383879, 922922, 642264, 245390, 567212, 634001, 753567, 201614, 892267, 567724, 882039, 294255, 987827, 362414, 391013, 147611, 762821, 278348, 607764, 133674, 181916, 721393, 102907, 598830, 763781, 22545, 816343, 401948, 318265, 393170, 727264, 406732, 530248, 319556, 978948, 374238, 666400, 513758, 874618, 719894, 987150, 632244, 51471, 91372, 227265, 612105, 725915, 181454, 177971, 408082, 473081, 184296, 192836, 526272, 331033, 245681, 914237, 386821, 781836, 833535, 776879, 327055, 622746, 567593, 748754, 718775, 729358, 674174, 524552, 759525, 620316, 358046, 184541, 67324, 653328, 880325, 225170, 558990, 792901, 449382, 464011, 843091, 651307, 532575, 456308, 693964, 931986, 43961, 914856, 298034, 442722, 368395, 592930, 421886, 241289, 6571, 100628, 938373, 411566, 820104, 730160, 898740, 328489, 769545, 268583, 696830, 363184, 10711, 145408, 10040, 727882, 748424, 220448, 472586, 892005, 350148, 585922, 278636, 485922, 708555, 903244, 750782, 208721, 717086, 128541, 280708, 279252, 828421, 804838, 915343, 804222, 626569, 142703, 124603, 220356, 205857, 156753, 566573, 536186, 941, 853339, 90113, 279983, 47264, 846821, 248537, 562928, 728767, 785147, 758122, 716500, 45882, 188243, 849514, 25054, 94537, 656872, 340768, 610768, 762793, 930185, 281038, 501756, 563310, 917933, 27151, 675172, 224561, 137059, 868804, 840698, 883276, 113505, 95396, 250572, 583869, 831025, 270640, 698498, 939765, 286611, 807470, 524532, 135197, 517057, 329519, 43364, 956844, 325883, 742897, 427802, 438121, 746252, 540988, 162598, 905777, 510161, 923743, 924406, 321234, 661344, 379311, 377269, 880367, 78677, 285985, 816683, 63471, 122319, 354379, 216476, 326181, 360427, 817243, 608076, 269898, 286943, 226597, 90506, 751017, 770781, 806056, 271450, 111270, 682322, 649808, 568170, 552927, 409247, 133379, 657305, 452871, 89112, 673538, 503788, 553355, 457331, 344520, 687006, 819221, 552582, 828166, 119652, 221748, 899243, 143494, 957155, 49469, 402678, 530861, 373296, 179847, 404247, 447514, 950044, 959144, 332532, 833366, 417714, 593960, 732923, 156793, 738560, 832021, 307342, 519717, 799530, 953386, 57451, 390649, 127087, 536499, 365176, 920740, 304151, 723907, 245075, 490951, 632728, 173543, 530007, 724513, 120849, 833169, 801438, 832310, 434361, 287074, 22345, 581819, 572880, 815629, 296946, 77670, 486548, 559678, 657471, 302559, 27930, 941417, 427553, 788903, 837977, 669705, 693564, 574185, 104005, 95992, 153645, 303002, 518965, 493491, 868159, 945265, 922629, 204654, 172343, 940469, 912102, 53954, 134167, 723638, 897165, 940827, 120768, 386208, 263302, 897996, 292727, 491102, 427360, 586834, 53557, 23379, 348568, 321805, 103848, 972340, 803572, 1112, 385584, 69238, 181609, 845591, 649528, 332050, 768034, 712592, 297337, 558533, 439165, 846552, 249582, 700292, 690527, 910402, 526966, 11068, 682385, 424429, 656453, 73641, 385060, 90491, 311942, 47712, 754998, 281200, 149693, 343692, 980227, 422499, 667947, 749570, 918205, 516515, 229487, 827827, 70512, 162825, 62690, 254138, 874561, 933249, 237465, 58233, 953832, 338297, 266698, 1921, 261886, 687950, 202787, 269, 501607, 83123, 456623, 412400, 733850, 75833, 588274, 806403, 161516, 714617, 433745, 167751, 99688, 807820, 787326, 897660, 951811, 178592, 150615, 760059, 178158, 399065, 348402, 761027, 698179, 232944, 808538, 447766, 968454, 929171, 467725, 666127, 517965, 637992, 607405, 573978, 913711, 711512, 679709, 537242, 161395, 544540, 882571, 482787, 45578, 469119, 814891, 368637, 629139, 379921, 342223, 559071, 394680, 504919, 938987, 507463, 508975, 930547, 77290, 785242, 934521, 816885, 774651, 105069, 769936, 357947, 975478, 886511, 374934, 900959, 706696, 420642, 524351, 590541, 236171, 789615, 641634, 782664, 11046, 308196, 265094, 178718, 207314, 613939, 238893, 13959, 897717, 618209, 132456, 56307, 954797, 557350, 524971, 166986, 765848, 351069, 303721, 672075, 62062, 817424, 320679, 108035, 705786, 244032, 645665, 363337, 820584, 109654, 271725, 470622, 586573, 118043, 442487, 333279, 566670, 811747, 589413, 32012, 681951, 927892, 63899, 626209, 212475, 83241, 193833, 913566, 300253, 485136, 228101, 9026, 988872, 491788, 566111, 693350, 869941, 498260, 419420, 463978, 271017, 321729, 955434, 573366, 661755, 227402, 68302, 871096, 698552, 353094, 116672, 221949, 210492, 478423, 361294, 504655, 985544, 718092, 319420, 457241, 555037, 628297, 627930, 833362, 932476, 864397, 165808, 403909, 55736, 686598, 189840, 970987, 251559, 352410, 848923, 880483, 960767, 71041, 131198, 419679, 91481, 329213, 861685, 677297, 539783, 24096, 205272, 51238, 681342, 315709, 336323, 182062, 214033, 209798, 204913, 262401, 207202, 818641, 527238, 894723, 737829, 528889, 701369, 724410, 421701, 166018, 63794, 673801, 729684, 182364, 864774, 586480, 427088, 646752, 476471, 726325, 645945, 484113, 261790, 280335, 303103, 976146, 855118, 47094, 361634, 675078, 332200, 23972, 618636, 69858, 617834, 682762, 370133 ]
990,082
[ 627133, 82249, 103569, 938184, 664467, 851368, 567512, 606133, 255244, 125705, 515695, 329462, 388142, 955740, 347392, 786499, 478990, 72418, 455933, 80167, 195145, 126007, 50244, 276128, 190899, 73466, 256742, 723137, 214027, 736070, 566147, 931730, 152822, 312355, 451301, 88989, 548291, 390265, 886722, 637145, 377765, 896847, 129374, 386025, 633633, 533352, 325772, 27971, 618410, 539428, 456725, 469874, 65395, 879307, 948744, 44514, 752429, 32968, 777426, 945471, 181155, 263001, 964180, 400325, 914442, 122229, 686124, 225321, 970097, 668671, 417115, 26451, 709732, 400215, 373251, 954243, 88043, 284201, 335647, 815353, 81992, 787793, 604459, 891481, 704642, 515243, 712056, 802979, 391922, 339301, 296441, 831259, 445535, 87745, 63841, 111071, 869735, 814975, 100168, 150218, 904296, 868885, 919810, 628289, 562601, 513108, 107562, 667285, 278851, 950033, 764066, 817530, 27622, 527708, 770414, 460754, 10085, 189830, 807646, 573623, 967894, 477440, 578602, 707534, 871189, 141229, 176331, 169689, 346847, 733210, 940592, 249414, 746014, 313000, 282596, 730760, 157963, 502854, 746464, 55406, 108012, 634763, 122770, 834619, 500457, 31500, 312739, 589864, 458895, 824213, 459517, 135709, 277779, 276168, 900400, 569140, 545933, 316930, 679137, 985266, 871745, 950216, 708175, 530918, 860648, 943889, 216720, 80524, 69692, 933288, 803969, 762422, 814266, 25191, 23736, 691360, 2871, 134011, 230379, 908966, 126139, 470588, 623970, 828989, 300415, 574502, 576743, 786939, 597800, 567396, 974678, 49920, 144252, 103603, 779728, 6035, 717441, 38059, 780692, 600291, 507180, 618032, 545857, 626248, 385884, 541390, 619552, 413191, 545460, 471002, 776509, 275329, 73342, 303703, 886748, 588684, 104927, 350489, 297897, 546264, 121338, 337327, 717582, 435694, 528122, 958839, 612921, 430690, 450212, 727378, 772556, 770487, 134865, 244389, 698753, 806048, 978702, 3480, 399196, 575383, 579023, 784794, 373843, 667703, 283219, 534501, 306829, 208793, 898512, 344323, 152104, 934031, 575119, 224891, 741476, 261842, 927415, 230593, 326762, 22054, 321468, 59550, 216208, 165259, 307359, 793833, 15837, 266219, 443024, 19464, 763063, 643986, 549071, 230356, 6011, 163979, 655027, 48287, 426386, 877146, 211591, 56270, 185011, 824348, 343856, 202988, 800467, 795290, 818073, 508984, 328082, 521639, 276531, 867421, 187823, 470429, 948079, 416511, 74836, 433938, 33354, 419196, 444654, 309469, 653953, 404969, 817188, 365136, 852812, 554600, 454335, 207011, 902708, 755364, 461624, 152084, 571914, 313140, 624817, 336599, 243605, 52647, 665141, 155348, 24317, 65946, 816606, 848260, 325239, 474034, 925468, 9235, 884201, 762769, 736228, 747695, 344746, 320910, 197778, 245976, 790620, 648129, 631186, 958727, 34219, 4223, 843778, 937583, 223135, 426211, 390662, 492149, 422148, 59960, 852165, 679568, 348757, 95869, 361514, 186026, 534513, 546317, 668356, 446152, 681711, 460165, 157752, 203112, 305672, 972321, 122577, 551011, 668289, 438396, 669462, 834277, 26813, 905799, 622173, 356862, 487319, 516025, 729797, 13227, 104022, 642579, 894976, 519359, 260259, 730922, 446217, 928148, 24503, 867757, 666236, 417689, 487802, 893129, 221277, 521649, 521859, 955143, 550059, 817418, 296017, 484851, 937699, 666642, 300005, 183880, 702457, 624500, 598305, 603056, 231185, 342062, 126839, 195983, 629535, 276745, 572938, 582676, 300798, 325478, 40867, 756348, 276426, 163547, 951173, 227557, 852854, 264768, 177462, 581209, 574346, 153052, 291911, 27704, 76372, 450474, 53818, 451636, 607203, 725409, 74760, 401330, 412074, 71589, 965841, 788398, 647852, 642167, 404233, 338320, 953328, 579197, 630411, 206990, 190107, 664190, 33830, 529567, 269137, 183769, 86997, 675908, 341364, 606339, 824617, 881283, 27441, 295437, 594638, 785397, 646839, 200311, 859642, 970168, 356115, 171917, 376053, 560223, 698141, 97572, 922814, 835166, 313629, 432295, 226882, 754072, 573537, 977966, 282581, 303122, 565778, 566355, 811867, 597649, 899336, 198103, 337628, 932224, 147756, 509048, 177515, 824249, 848565, 37569, 868023, 859522, 974957, 569508, 588940, 471542, 625407, 765973, 701641, 464357, 415811, 734170, 331256, 20754, 947658, 863364, 794417, 981684, 875602, 672302, 364043, 779642, 735471, 512386, 480529, 279287, 171698, 3470, 134110, 622452, 427267, 484800, 175194, 668684, 84977, 775907, 757588, 890680, 924678, 24215, 268487, 46828, 175508, 66174, 596987, 757070, 506796, 395933, 730611, 188163, 911994, 779099, 454863, 629594, 226690, 561717, 359701, 1240, 522756, 309202, 937418, 538144, 731233, 677004, 252406, 359193, 160192, 318297, 539294, 127864, 398107, 273822, 518699, 131410, 695266, 424980, 562292, 966501, 757285, 214830, 767782, 565920, 736693, 56239, 826968, 358820, 280984, 462788, 273430, 487061, 463411, 442630, 890440, 344476, 177485, 504176, 929421, 363266, 305756, 217684, 400207, 590014, 10780, 46389, 907473, 435285, 389033, 156346, 801648, 336129, 955991, 785943, 704021, 564763, 775620, 72865, 941067, 854074, 123701, 695874, 603556, 339711, 237596, 80346, 693150, 785967, 496989, 152128, 541673, 343316, 364374, 283224, 295367, 681621, 110736, 261485, 667334, 657675, 348194, 334293, 636875, 273459, 104855, 981631, 334186, 106594, 799410, 535370, 913504, 325829, 684526, 295708, 323042, 873999, 968351, 377284, 806579, 199494, 350492, 973979, 646356, 568312, 321181, 531523, 949084, 691748, 745836, 971703, 129704, 905294, 188390, 41577, 989754, 627246, 604944, 426373, 869426, 507885, 129969, 260574, 890915, 384432, 80695, 700074, 963531, 850431, 21313, 716558, 169629, 922968, 962929, 689598, 199420, 960301, 394433, 547281, 284792, 453253, 704784, 177460, 838390, 670872, 251335, 232647, 904299, 392262, 152505, 569798, 232331, 763048, 320946, 450128, 853245, 606568, 863969, 926134, 231881, 908235, 710893, 800159, 231847, 652778, 26670, 292859, 660296, 218661, 544482, 351464, 670746, 81597, 516570, 14425, 44579, 713348, 240975, 163015, 659402, 753422, 186588, 788464, 93035, 625037, 948781, 368149, 231444, 114936, 296338, 75591, 338832, 586686, 854759, 331280, 872604, 452681, 252762, 953725, 48172, 772473, 150589, 703458, 540386, 173992, 94686, 241578, 946538, 263183, 757417, 647328, 24309, 470975, 435915, 516795, 704963, 721533, 249476, 970698, 30942, 893672, 519473, 29232, 40239, 69933, 585302, 985818, 439884, 370233, 735443, 230142, 476168, 370413, 982066, 199860, 412825, 647821, 688746, 460949, 48397, 389358, 395126, 28308, 754428, 211318, 207987, 301426, 47338, 52116, 180976, 218181, 334864, 406208, 84667, 822477, 975971, 22098, 391996, 346300, 357217, 334602, 757699, 764223, 316239, 385611, 409917, 757705, 977038, 15936, 602009, 224939, 703510, 391468, 746457, 703685, 5299, 276516, 7704, 512208, 124477, 614529, 426314, 529633, 560310, 694834, 422669, 371315, 969601, 867853, 669862, 236164, 22116, 798231, 799879, 624666, 634276, 470226, 940947, 428558, 473, 523057, 810656, 783930, 190460, 156879, 6144, 675051, 952558, 112495, 580966, 341425, 178318, 656927, 449905, 238193, 63890, 831607, 660692, 978966, 669871, 190549, 757142, 66858, 228989, 213163, 531600, 745935, 972013, 663596, 18444, 5921, 101690, 529310, 670295, 870549, 454514, 300879, 874390, 924470, 334810, 908069, 778231, 776847, 517080, 631936, 810683, 727181, 350065, 881516, 670148, 927038, 582025, 380532, 245732, 972156, 60765, 653252, 458111, 42792, 623533, 630111, 410738, 237753, 286202, 49071, 319436, 898896, 875567, 155444, 739644, 531941, 150741, 431060, 894631, 661238, 703364, 971971, 470686, 549748, 32398, 308091, 765583, 647056, 645775, 548044, 15421, 525511, 597544, 527588, 894041, 769269, 604008, 959438, 214037, 890139, 530266, 704209, 315242, 168806, 235908, 147953, 224067, 505804, 401156, 472854, 271275, 509148, 76264, 445708, 422550, 605759, 652571, 934382, 204346, 219741, 128987, 720463, 249336, 7445, 162974, 109385, 818866, 927967, 532942, 556624, 616280, 511104, 836342, 392642, 256021, 757168, 887548, 822039, 147073, 593962 ]
990,083
[ 336858, 203805, 446634, 732653, 892380, 74142, 294469, 96014, 339134, 139023, 117677, 351455, 527427, 282862, 770031, 633957, 817740, 789672, 758683, 942429, 526008, 292912, 661129, 360471, 520560, 366210, 989724, 405418, 185345, 662140, 254470, 806704, 776967, 68297, 774216, 819457, 237678, 499990, 722328, 71390, 857726, 851495, 783397, 96020, 726629, 775120, 762086, 472743, 382305, 522137, 809768, 462018, 201080, 962689, 322814, 546460, 636891, 857906, 406118, 759928, 94984, 569716, 354074, 189932, 682331, 857144, 504456, 231919, 524952, 458993, 845738, 542906, 589017, 306631, 500858, 442860, 418263, 22291, 877409, 980955, 44545, 833439, 792125, 618922, 626496, 765680, 602483, 272238, 970820, 488213, 124075, 766786, 371035, 544182, 364191, 748040, 413397, 958365, 740026, 541168, 568693, 141069, 375869, 364765, 156170, 707709, 982966, 828206, 624786, 648606, 444476, 691169, 845387, 472187, 684984, 524680, 187201, 869048, 587198, 657958, 269771, 405077, 519086, 593990, 351044, 652579, 221517, 861823, 814565, 792130, 36525, 950331, 682598, 184378, 273089, 689232, 337364, 732341, 86291, 837388, 35502, 951939, 123120, 986576, 726624, 259248, 202265, 756302, 678498, 361870, 627280, 610997, 931951, 92922, 397252, 470449, 114651, 273196, 894584, 383299, 314431, 891940, 204240, 523913, 149041, 496525, 692656, 12195, 927383, 571746, 501501, 83658, 863773, 176614, 487557, 684565, 872538, 203294, 443005, 40592, 849432, 160237, 255952, 121527, 210059, 829454, 537308, 30473, 141142, 12594, 73780, 973460, 777841, 728863, 594794, 129764, 43240, 203039, 867507, 423321, 713171, 516256, 531243, 246191, 91891, 665806, 774205, 813678, 314357, 329280, 369347, 405970, 557131, 863670, 931089, 793683, 543190, 164122, 53796, 519588, 127813, 759437, 351118, 150596, 644774, 571184, 967088, 350288, 604687, 282612, 501955, 6638, 955106, 513018, 387652, 820656, 95169, 131668, 146127, 758885, 386739, 534581, 87437, 331533, 421749, 949229, 320058, 647269, 161507, 158327, 146917, 774335, 653567, 490332, 606704, 57520, 807066, 370944, 97103, 685896, 268311, 598074, 427410, 685676, 2550, 870679, 641620, 613020, 54557, 580446, 284495, 865468, 838986, 812489, 829504, 894498, 641514, 362819, 118222, 895889, 482147, 360799, 728343, 320710, 862582, 434521, 636564, 399520, 338238, 823217, 155579, 795910, 531292, 741922, 443210, 149555, 275012, 351742, 962249, 909385, 586322, 729714, 859395, 836219, 639020, 184216, 843558, 876079, 296451, 476867, 166942, 824053, 146487, 325833, 639484, 920627, 394690, 27663, 307540, 439279, 145540, 51192, 660613, 695149, 914039, 902800, 519926, 500657, 70328, 839720, 218338, 808014, 325703, 931300, 591488, 209783, 378667, 98257, 720261, 147446, 313840, 534074, 290152, 657621, 489182, 703591, 646314, 580663, 65177, 790317, 119424, 625618, 421328, 220362, 97781, 857285, 761286, 768554, 848871, 112252, 474958, 395749, 368479, 22313, 541640, 451196, 896500, 661155, 697230, 583663, 818611, 358318, 430991, 897192, 390956, 641388, 724285, 798482, 446912, 137988, 161538, 584253, 631444, 750680, 581736, 108254, 307590, 66417, 131328, 145085, 889091, 535807, 83221, 358347, 983084, 22870, 119024, 269974, 352667, 707616, 882955, 25737, 419224, 133247, 462196, 938885, 22730, 834496, 218363, 379055, 436304, 568392, 377200, 444744, 358339, 22839, 964830, 965715, 288117, 58238, 47390, 70914, 792890, 598964, 398613, 206753, 573088, 97017, 220681, 708153, 165033, 273272, 506247, 788452, 481670, 372375, 674180, 325057, 571380, 816422, 780553, 92048, 36623, 80085, 820478, 257518, 566698, 483832, 350286, 18257, 856477, 726745, 894700, 853846, 822494, 91279, 142553, 571695, 781579, 650795, 660221, 240843, 306375, 160225, 676411, 676732, 754864, 131057, 213951, 56200, 419423, 561278, 828868, 279385, 927470, 907235, 59650, 487640, 927974, 227278, 101854, 254827, 111316, 119718, 331303, 908844, 98704, 335592, 444942, 735383, 747982, 618406, 491417, 533261, 877096, 622271, 943312, 523321, 431896, 32308, 645747, 470238, 170466, 109829, 833406, 793424, 393799, 359325, 555576, 333062, 37102, 750845, 330784, 657890, 71090, 454909, 706141, 491039, 60912, 657386, 620154, 989161, 943993, 555920, 140695, 76940, 235529, 746577, 855803, 537389, 853702, 655387, 935589, 396729, 638849, 122732, 208555, 229088, 495459, 989328, 735394, 762074, 294208, 667527, 42142, 637261, 95401, 212306, 928902, 526645, 2624, 34298, 961468, 934116, 250372, 734686, 901890, 382125, 219492, 166328, 669622, 680726, 12741, 389836, 738683, 26711, 123374, 659720, 210280, 838506, 629969, 331204, 141036, 914165, 867298, 814955, 203995, 371991, 927209, 121929, 879706, 528727, 515738, 275462, 130781, 536254, 165582, 44267, 269082, 256398, 577846, 291572, 102033, 927554, 88674, 980155, 89311, 702867, 797472, 662755, 616784, 760087, 618659, 710725, 347386, 260255, 706341, 102250, 788197, 134950, 315197, 556591, 608030, 921147, 726529, 259287, 424037, 135169, 518204, 345799, 154997, 560463, 138283, 816346, 177717, 525160, 537434, 141853, 434398, 20891, 476559, 211680, 262686, 496716, 878665, 914805, 213273, 505717, 769159, 866823, 948092, 368231, 199201, 302873, 51043, 569966, 864407, 39244, 265608, 947130, 182172, 742748, 7803, 518331, 11180, 661311, 776306, 982360, 921979, 422106, 26871, 433548, 403369, 291722, 637755, 681069, 187828, 428617, 640670, 120977, 206689, 623365, 951599, 984758, 637021, 283049, 84930, 729630, 350151, 784596, 354450, 914738, 512377, 439527, 769745, 500894, 328118, 513837, 613335, 131289, 219271, 512535, 691463, 917990, 679958, 554313, 5152, 121673, 655364, 84685, 265164, 250406, 650681, 529942, 630163, 283620, 408810, 430873, 367606, 210084, 20333, 291346, 727256, 156092, 813737, 301272, 509384, 921382, 804393, 53609, 158878, 619142, 795717, 221569, 71201, 964994, 598586, 136932, 969952, 46383, 955518, 674948, 652617, 884048, 55968, 272463, 293591, 833952, 146151, 657809, 198315, 149809, 849804, 656393, 391181, 168001, 550410, 200788, 433526, 372697, 927592, 376433, 114525, 342422, 930531, 876725, 825895, 958810, 73201, 666533, 804412, 462021, 293449, 258332, 290492, 597779, 768486, 778291, 585219, 860235, 246841, 462478, 295650, 826323, 961224, 549233, 764590, 20759, 916561, 587176, 514852, 93693, 797219, 784530, 943179, 150614, 901378, 681784, 467264, 328089, 804781, 225028, 465390, 814799, 863444, 502320, 361956, 534045, 974195, 800178, 563161, 738585, 146097, 439607, 168888, 376786, 832590, 117833, 693313, 776163, 920380, 33663, 282545, 672710, 652395, 259564, 800866, 219111, 975548, 667478, 654342, 669661, 591608, 465457, 147240, 457566, 812523, 492108, 739508, 553261, 316092, 130532, 621652, 718845, 385587, 151432, 662647, 466198, 572103, 229901, 984067, 282402, 182816, 848039, 11283, 383995, 898485, 350042, 118673, 756446, 340165, 13799, 334098, 322472, 985006, 234641, 487299, 268450, 820857, 9641, 960623, 201426, 788236, 217261, 91465, 144400, 6950, 216107, 483904, 210491, 279677, 829188, 132440, 78419, 208827, 642106, 131356, 289408, 180988, 585544, 846061, 911022, 552628, 230733, 758322, 529660, 556145, 865342, 692378, 950692, 772909, 581084, 486274, 202121, 417795, 329810, 83697, 403689, 834494, 173062, 148830, 363434, 216061, 581713, 747558, 674400, 340510, 282066, 978895, 896245, 157700, 294992, 70809, 562255, 417639, 153347, 83099, 190523, 571050, 667349, 31719, 762355, 537992, 70782, 966199, 182608, 7601, 590790, 825737, 876214, 383868, 335700, 53021, 370026, 578917, 353884, 579581, 642885, 365990, 308715, 810798, 637343, 639881, 408266, 829589, 383444, 401258, 773687, 627498, 469102, 796424, 373907, 954924, 900310, 726997, 608062, 929675, 940206, 125879, 488509, 265613, 66731, 895410, 726208, 490429, 701532, 323550, 662801, 525501, 526968, 675259, 49946, 294682, 450313, 355441, 790608, 508855, 490445, 42943, 660907, 445254, 709776, 282981, 79635, 793721, 825773, 722809, 454006, 97047, 222383, 557407, 154408, 987603, 559585, 569368, 234290, 799115, 492363, 985602, 657631 ]
990,084
[ 564042, 547589, 853149, 745358, 192919, 416214, 938376, 307754, 186354, 147179, 210800, 228211, 585546, 52992, 861874, 209641, 886997, 703872, 390417, 826857, 872509, 563984, 474308, 682821, 226804, 193443, 819747, 600949, 809881, 542212, 836389, 632164, 329507, 3360, 776130, 389349, 693165, 187299, 562895, 52796, 323677, 874837, 145948, 515588, 611892, 699670, 69584, 989875, 26102, 941753, 61378, 292135, 431630, 360563, 864021, 524645, 623134, 48650, 800132, 563030, 797430, 305370, 222629, 155659, 217563, 211100, 740821, 1657, 285567, 840729, 318220, 865435, 206685, 457640, 403018, 694352, 26921, 614774, 186536, 754581, 889970, 320556, 428714, 165747, 439964, 101542, 646358, 905684, 510048, 328387, 646018, 171086, 971652, 137354, 443541, 532122, 608087, 935137, 808758, 290696, 23442, 551976, 132044, 579682, 622192, 367016, 680418, 138866, 678504, 549545, 895216, 55798, 596981, 247764, 81939, 593687, 415704, 672, 871333, 305817, 167409, 733576, 562097, 622553, 4121, 402620, 220858, 618390, 692407, 533020, 297161, 523183, 567947, 798438, 258076, 201239, 761549, 593063, 877169, 18907, 732579, 714304, 493790, 144906, 24331, 753232, 750867, 680640, 496349, 680213, 663090, 974443, 188340, 54652, 790397, 928287, 579540, 372774, 674536, 872831, 928641, 950523, 951903, 494631, 37160, 144217, 855217, 39902, 437797, 723434, 593894, 796431, 903995, 741501, 541161, 575914, 747154, 799551, 634177, 326341, 871286, 558577, 977549, 927375, 723883, 437262, 217415, 485781, 279034, 6812, 513637, 252847, 543411, 831482, 833993, 566170, 320084, 571513, 839852, 305345, 930714, 780915, 396383, 454234, 310487, 491780, 135967, 677749, 965092, 255111, 574173, 346480, 191366, 533275, 267894, 596518, 134571, 641566, 339991, 2842, 951881, 376585, 39360, 619924, 439045, 367940, 671161, 422173, 278627, 925386, 750625, 514711, 951935, 741028, 519975, 953542, 395863, 500520, 146773, 351373, 892801, 618715, 587944, 524693, 356249, 408332, 199707, 579165, 618591, 315005, 483465, 359497, 891835, 969603, 336489, 626954, 602949, 956777, 638968, 628101, 712352, 398403, 674250, 517246, 39044, 51634, 417654, 386644, 786534, 258284, 301390, 158508, 374984, 546426, 111323, 688832, 794721, 650384, 354002, 41406, 123466, 737624, 777546, 689805, 895348, 528874, 81045, 349869, 105863, 963626, 980767, 355472, 686222, 359170, 98045, 209615, 464981, 975300, 723946, 142392, 748391, 774186, 986156, 122388, 424527, 822124, 892933, 540764, 460412, 527269, 241031, 162011, 215634, 687103, 746319, 819964, 303952, 242412, 220223, 468805, 474893, 322433, 953180, 637527, 670084, 420152, 216406, 47752, 393653, 13071, 451492, 930348, 254336, 213393, 797348, 349313, 395670, 519562, 755796, 347185, 326916, 760523, 844036, 727238, 328579, 515450, 568477, 952442, 443787, 79115, 187035, 627855, 823270, 75780, 534972, 816283, 798905, 731916, 623928, 595974, 828504, 295147, 444689, 987652, 859861, 126799, 534803, 89280, 622227, 65472, 810324, 925575, 607250, 283681, 634884, 356013, 795332, 326996, 219555, 646430, 728103, 665537, 184557, 50874, 44637, 750005, 408105, 824045, 926849, 972253, 589720, 1168, 552714, 78896, 155188, 98804, 200938, 99873, 618805, 171988, 408041, 782765, 71407, 818889, 573967, 673616, 13964, 255187, 391816, 733584, 79071, 134770, 443791, 190079, 500716, 396120, 213849, 222688, 79963, 176844, 718830, 40209, 545664, 453737, 129877, 244919, 79112, 589495, 266140, 670737, 297692, 2176, 637239, 416103, 805510, 497379, 350908, 847635, 845391, 648395, 2752, 404653, 321357, 923283, 535761, 194817, 916023, 833204, 617521, 893374, 393591, 731240, 186404, 714589, 775399, 240681, 572549, 939094, 412423, 983130, 394297, 880503, 860509, 131260, 632373, 568888, 489610, 29070, 822460, 821104, 464394, 422058, 501903, 751153, 901486, 525304, 165382, 530831, 508664, 131679, 868302, 890335, 267101, 286592, 197528, 215226, 574031, 260272, 729013, 219315, 328752, 7247, 408394, 230543, 868408, 941057, 267052, 445175, 23311, 220379, 919783, 621374, 633009, 472505, 17597, 790313, 942026, 984949, 962339, 890017, 976943, 636294, 756924, 742667, 200932, 688622, 343207, 627614, 115078, 302653, 483325, 835123, 756802, 490418, 579520, 313346, 752209, 46529, 806877, 732938, 14485, 537563, 104363, 720731, 278368, 710589, 373064, 78219, 448361, 693768, 540431, 493275, 822923, 923285, 698724, 486613, 186960, 365862, 420816, 936794, 607104, 37788, 883097, 921283, 628821, 766050, 268717, 950752, 646738, 12420, 373881, 850368, 976578, 11723, 405391, 520513, 432213, 489900, 221241, 420857, 341948, 930456, 516223, 719793, 219232, 296537, 758556, 288805, 734381, 764906, 412860, 748011, 438005, 687534, 176181, 635747, 584747, 765230, 156490, 419543, 243884, 239863, 760381, 961437, 438023, 216731, 532913, 737819, 127739, 523386, 405708, 110944, 356974, 193748, 50805, 585289, 509444, 240559, 509316, 776321, 976802, 389262, 393031, 155945, 782208, 172968, 864231, 908141, 975146, 840185, 509340, 467288, 293039, 985043, 841098, 669344, 617601, 891396, 148953, 654208, 404378, 295676, 891259, 553703, 101261, 124617, 870353, 165122, 640944, 231861, 464958, 525636, 307679, 97126, 198841, 466375, 324499, 656568, 734754, 316542, 580099, 73597, 861326, 972017, 968974, 694045, 472058, 726950, 577331, 701100, 955715, 974524, 44940, 472357, 1688, 96715, 36651, 649989, 753007, 715433, 121310, 811363, 175634, 787425, 645822, 410573, 399757, 398236, 696825, 791989, 715965, 231484, 681300, 572782, 330775, 662226, 960435, 19974, 966119, 628006, 395122, 175640, 930211, 652709, 413548, 606871, 565126, 572102, 118281, 628217, 725040, 691578, 166691, 315509, 577353, 443023, 521519, 192236, 133483, 597069, 403820, 834958, 915938, 852433, 345143, 441039, 28108, 662325, 823561, 218495, 578452, 906728, 84342, 609794, 27178, 605056, 547501, 848463, 871438, 256555, 609983, 232643, 579583, 640778, 376769, 424514, 419069, 804136, 133963, 754045, 859130, 874270, 575344, 178523, 444440, 507393, 484492, 569634, 167059, 395589, 248886, 774448, 477311, 288487, 841042, 982463, 659439, 977650, 955987, 172326, 677906, 164112, 704172, 180447, 956715, 426573, 298768, 377827, 761296, 364473, 33754, 722092, 374988, 487595, 107319, 308671, 187683, 827905, 334018, 143389, 787433, 293002, 397413, 443469, 187334, 185701, 918298, 537817, 130913, 853358, 354186, 609682, 877448, 273924, 760354, 732295, 272227, 251785, 839995, 406447, 758569, 51235, 525391, 650347, 872479, 860101, 751416, 520775, 648933, 392973, 357407, 910213, 83536, 67577, 101693, 215522, 359871, 760342, 661325, 186699, 822156, 95112, 567114, 435517, 288653, 595555, 803864, 161132, 790543, 652152, 471463, 387480, 76433, 251058, 720759, 134039, 489476, 667684, 882221, 356632, 393853, 757281, 319103, 150653, 658701, 901430, 680054, 287952, 141265, 294854, 227642, 409511, 761971, 70247, 599243, 124746, 123736, 607780, 578646, 986173, 519475, 620795, 547093, 886797, 325031, 3368, 822354, 358363, 242307, 424584, 937618, 328620, 248727, 356520, 256696, 481791, 345355, 232109, 716620, 890823, 529944, 427584, 401502, 126158, 650569, 874233, 208557, 239004, 954494, 899867, 527157, 599827, 542010, 692457, 447223, 650838, 734461, 505334, 723141, 481916, 222987, 92989, 733413, 124788, 87948, 892131, 721265, 764569, 751051, 279698, 611584, 150234, 332043, 238031, 253128, 225287, 535395, 283, 671178, 46101, 943945, 125191, 843731, 684342, 836046, 978694, 818585, 516856, 585497, 786342, 357332, 750012, 334461, 210826, 527628, 418094, 314519, 550917, 879771, 286444, 92626, 834618, 108167, 699587, 87390, 365842, 6490, 983302, 722649, 709613, 374537, 902660, 534175, 73058, 329674, 893155, 562748, 346105, 136341, 257095, 308204, 577550, 64700, 83894, 724199, 770671, 195506, 28089, 200562, 396364, 272082, 741057, 667512, 365402, 381621, 268938, 781604, 762020, 419877, 981325, 865309, 186478, 542767, 834538, 787391, 420216, 851452, 800234, 462001, 374578, 526560, 786812, 822428, 845863, 172986, 718046, 278284, 159038, 109684, 443090 ]
990,085
[ 708045, 318843, 527969, 444814, 771055, 460994, 311331, 13523, 630953, 979534, 208556, 185037, 679171, 753535, 534641, 407546, 236571, 715048, 493692, 825459, 134275, 436209, 168663, 149297, 934040, 387940, 579112, 872977, 686805, 341596, 260842, 456851, 576333, 607010, 288568, 266516, 888721, 189976, 944357, 979912, 165859, 622098, 32279, 376898, 569258, 886631, 305121, 235703, 452729, 232651, 520765, 93421, 374950, 458258, 12847, 322546, 347379, 317504, 745272, 291893, 903183, 759134, 554010, 798542, 767759, 898562, 212838, 515480, 394097, 856993, 20154, 652273, 732914, 843398, 811195, 854755, 589342, 797069, 851469, 403145, 248206, 917074, 859951, 964450, 736888, 989136, 604411, 614390, 102456, 647804, 27923, 36257, 76235, 818865, 607742, 241435, 912535, 349969, 759329, 232032, 222807, 710335, 111480, 948648, 71872, 47803, 375118, 130721, 895259, 699908, 927424, 84492, 234759, 84277, 839001, 768932, 506024, 814115, 664501, 69369, 847242, 168022, 917471, 869880, 174130, 105593, 638173, 527682, 390542, 219934, 901136, 179933, 625331, 362219, 661362, 140359, 33610, 801815, 621879, 426500, 306017, 282023, 589452, 660156, 319107, 943049, 357793, 927735, 622695, 218514, 377032, 117072, 572568, 387547, 174050, 327699, 249334, 163409, 582725, 767197, 366168, 966172, 33956, 973180, 618580, 509284, 472310, 108237, 696580, 652991, 698717, 232824, 818045, 916713, 363506, 928678, 147248, 864348, 104611, 704962, 690900, 612376, 986361, 176949, 914840, 707530, 692501, 676446, 574153, 428504, 279643, 767959, 274668, 492204, 362248, 199996, 849965, 171514, 133212, 909090, 944507, 623743, 918332, 805817, 279986, 426190, 983039, 559308, 284630, 863972, 596442, 215773, 96641, 646483, 903699, 145312, 843642, 671385, 884808, 167082, 828597, 369142, 386568, 48068, 237128, 716664, 887447, 268215, 950540, 548878, 735952, 623989, 77925, 487399, 732826, 840125, 401195, 34335, 778381, 712581, 876415, 129505, 425040, 233585, 690566, 669377, 98088, 173517, 663703, 813186, 857739, 609810, 890238, 537454, 878030, 154548, 574382, 546850, 917633, 627212, 946816, 437378, 741569, 9303, 420624, 69148, 748395, 53379, 274777, 351397, 506592, 844910, 969659, 680355, 580940, 658476, 545200, 674207, 988893, 805222, 82586, 96675, 18813, 982206, 861866, 120431, 432077, 552934, 191506, 354237, 283573, 544557, 21142, 527311, 610561, 607316, 268446, 125287, 300332, 167901, 660312, 78374, 806581, 718619, 480736, 7154, 185331, 394343, 952769, 496457, 691342, 706290, 378522, 83263, 831535, 222175, 213294, 17339, 815145, 319213, 725320, 156375, 264695, 105529, 931812, 153249, 506982, 233445, 975773, 944745, 365544, 940818, 573124, 607686, 232437, 682454, 777407, 607805, 708030, 563321, 726716, 803762, 326087, 988573, 911417, 823043, 214242, 975542, 863206, 932546, 591595, 561579, 92746, 759669, 697947, 654913, 681373, 315811, 569822, 162101, 664834, 564830, 686391, 877295, 148026, 792345, 85019, 458388, 255242, 436908, 774402, 828420, 195187, 461490, 851171, 466411, 332199, 808437, 920295, 202531, 958424, 702441, 387514, 741405, 904628, 220944, 811664, 303512, 388701, 739800, 478383, 963885, 894134, 235058, 394494, 7662, 430240, 394372, 678739, 472407, 100181, 132507, 887627, 372759, 482874, 956756, 675170, 949386, 827892, 945208, 870587, 368216, 260555, 243499, 469574, 763390, 145803, 612045, 805403, 974687, 398469, 159843, 906222, 480316, 932023, 309231, 659639, 930237, 386658, 65031, 465800, 762290, 590579, 204573, 156618, 833161, 501498, 486676, 580531, 975636, 629243, 330487, 122766, 832275, 595273, 705249, 487157, 208778, 105824, 777539, 97738, 970428, 630239, 938039, 265253, 859592, 645384, 774128, 47122, 517185, 278630, 387366, 25372, 279932, 686615, 368839, 430123, 763703, 64563, 337417, 131051, 539460, 693862, 274316, 906821, 973863, 478844, 286213, 869003, 525380, 510430, 445032, 797376, 393843, 700410, 432913, 777722, 526448, 715400, 629817, 723671, 50307, 119254, 759093, 432665, 924778, 715487, 851514, 143545, 923314, 770627, 80190, 288092, 418954, 128363, 698951, 69553, 227687, 376410, 175924, 22633, 563572, 744445, 755681, 365904, 192701, 640895, 404236, 175814, 728332, 661578, 355170, 661668, 734001, 506363, 600238, 671869, 917136, 791433, 587948, 457161, 829538, 988515, 119444, 864028, 50241, 236190, 277470, 780144, 262115, 806559, 370062, 312916, 387955, 978758, 122797, 422182, 604490, 508747, 753456, 647782, 517221, 433518, 973328, 211479, 755164, 171870, 941485, 605519, 431848, 627844, 288322, 819139, 34933, 880890, 854327, 882525, 592419, 393056, 593585, 503755, 680939, 375739, 286835, 740441, 398783, 318251, 95304, 124561, 172658, 384538, 376712, 393210, 658567, 823653, 135157, 418761, 694662, 502453, 296014, 378834, 246850, 606391, 828935, 629602, 169825, 824683, 351957, 500424, 221963, 874715, 134116, 612474, 249772, 914975, 96467, 802320, 217844, 879484, 273983, 199508, 685464, 325193, 548255, 980811, 438612, 403084, 413274, 782647, 357905, 396346, 388650, 393711, 382380, 960667, 899027, 636961, 704843, 912667, 805866, 834581, 503384, 860047, 756100, 412779, 432529, 907686, 480559, 130124, 515569, 716261, 741296, 93721, 287184, 630432, 109147, 911577, 65736, 189460, 57150, 409466, 75249, 133298, 377235, 935498, 471504, 352121, 600363, 587730, 989364, 16769, 222307, 519118, 574190, 321966, 437480, 259236, 946, 573456, 548681, 315776, 443374, 433868, 494501, 148088, 604770, 806425, 715348, 3306, 603015, 715942, 412395, 784270, 716854, 927742, 20202, 926354, 276998, 138313, 750106, 133300, 574984, 334053, 564786, 164690, 855128, 401218, 233948, 706131, 171180, 896112, 309218, 563492, 241247, 516461, 476444, 871132, 410398, 855555, 651292, 543021, 767280, 370199, 738225, 387045, 595341, 747354, 858159, 487805, 482618, 653062, 68522, 419955, 252305, 481783, 242405, 585872, 167741, 944909, 217729, 348886, 758413, 354690, 850344, 576290, 462849, 249917, 244376, 275834, 669860, 691657, 411032, 23220, 506957, 897988, 839303, 854065, 782927, 80761, 456863, 175460, 599344, 314, 938534, 759740, 153356, 696021, 485961, 232794, 364076, 171875, 141346, 828990, 731188, 411691, 531573, 573879, 309035, 735825, 212486, 470155, 848959, 611779, 946274, 740856, 903690, 342582, 664073, 599624, 269228, 389870, 176462, 368487, 70238, 9547, 566610, 336232, 574278, 175365, 358895, 592181, 95538, 988668, 745122, 43894, 15790, 315714, 586317, 738936, 538, 499639, 407479, 30429, 694496, 463325, 99222, 348569, 33365, 882434, 574904, 860941, 154701, 701246, 492686, 301089, 922432, 440135, 858590, 163430, 264972, 146113, 71956, 733016, 33736, 316749, 89736, 450547, 16898, 603061, 61167, 321709, 686996, 607169, 36894, 571979, 3171, 597687, 920109, 133692, 23576, 679847, 80719, 485074, 203610, 292767, 386781, 166663, 575412, 7655, 142049, 355484, 787081, 446885, 690848, 715843, 616462, 260246, 487318, 624033, 378890, 573289, 563843, 674146, 958735, 458085, 642335, 568002, 184420, 417924, 632415, 33542, 120878, 877307, 653431, 966835, 752337, 978067, 772717, 174677, 766910, 861283, 817892, 440892, 737166, 356690, 921931, 932057, 561145, 186230, 355566, 962474, 972869, 35281, 302633, 950927, 658549, 856538, 907644, 519008, 299052, 196005, 92777, 940717, 496654, 144328, 105328, 78797, 732846, 780602, 252045, 530575, 268557, 331603, 59224, 318546, 576644, 452109, 258506, 465727, 379790, 898433, 399189, 605700, 120708, 595562, 971836, 116059, 721295, 53062, 761288, 78242, 246882, 552535, 723289, 971280, 408956, 130903, 259480, 486667, 668390, 417987, 771338, 648413, 943731, 285922, 240151, 194807, 583502, 377662, 104896, 522166, 468136, 178541, 744284, 219530, 805388, 471497, 839029, 502918, 741383, 164728, 143989, 578230, 37500, 48811, 69269, 803520, 529133, 917934, 513809, 567495, 545133, 614835, 862920, 162727, 538214, 962870, 665737, 225229, 681466, 897087, 448783, 735189, 747120, 117405, 268896, 691492, 99595, 338147, 48854, 476193, 868223, 120885, 279357, 898836, 512611, 864023, 76623, 829586, 307598 ]
990,086
[ 209138, 371644, 531664, 205683, 612204, 563947, 785301, 956635, 835053, 9169, 223793, 438376, 499829, 449794, 976300, 432335, 52120, 964988, 311611, 902173, 954905, 424289, 527496, 874860, 557803, 331352, 655665, 757553, 391946, 112919, 370110, 171124, 720975, 249927, 579671, 948085, 137385, 730370, 581807, 89774, 493614, 59431, 232053, 46527, 504110, 370745, 885344, 59968, 30946, 61794, 175550, 971945, 671284, 840560, 236493, 732631, 222836, 731230, 521541, 934424, 480174, 878283, 636029, 186500, 883006, 811401, 605742, 724402, 169861, 462080, 224217, 573082, 537824, 669155, 426196, 46347, 43854, 861523, 353876, 76935, 427530, 109935, 584591, 195878, 216947, 60077, 100882, 190307, 819814, 453307, 537206, 985767, 847321, 241726, 446976, 952187, 904251, 700124, 657125, 48419, 978107, 702440, 264911, 307094, 399247, 961280, 113936, 438058, 175095, 24730, 306676, 580357, 388912, 3050, 759249, 349524, 556437, 914578, 740881, 316263, 102205, 33758, 470456, 738798, 841676, 117069, 377327, 57199, 907039, 327094, 860071, 533701, 480769, 94656, 930886, 925134, 309944, 296366, 561275, 148483, 735676, 284954, 952826, 440934, 621996, 985511, 725741, 446188, 830345, 276992, 406263, 505600, 84793, 359719, 653905, 412521, 438120, 789191, 949334, 351740, 620738, 589200, 977047, 708259, 907040, 72598, 17832, 253769, 612714, 673333, 332027, 188290, 352083, 183841, 536709, 858288, 824206, 584592, 793851, 815931, 608747, 958589, 853494, 510537, 774457, 276489, 867916, 659746, 101317, 366331, 634817, 230778, 309742, 158188, 208442, 753469, 658177, 212506, 719641, 249826, 165805, 974719, 619640, 468397, 657188, 168015, 690205, 709230, 864233, 829289, 527697, 199978, 830145, 41726, 123188, 608198, 708074, 506554, 492268, 186869, 810971, 431788, 626710, 116082, 210915, 218843, 118800, 561653, 699396, 401251, 120157, 513540, 406768, 97293, 495483, 136515, 243571, 579061, 412605, 579486, 315106, 827085, 459536, 56159, 11331, 231597, 189118, 246398, 11678, 35008, 359900, 834800, 413982, 826481, 967028, 259910, 83355, 921436, 193338, 580992, 447445, 528703, 29417, 376753, 857365, 200066, 193891, 82759, 203468, 116102, 885731, 19837, 3820, 542188, 610865, 128499, 681860, 980236, 258553, 793379, 559381, 539109, 944190, 750704, 422384, 646791, 180156, 635939, 821760, 751884, 119973, 210651, 443041, 716211, 367640, 522462, 475309, 281738, 200234, 261119, 16093, 941665, 485093, 130549, 94315, 625189, 345203, 569155, 987412, 789267, 504885, 839196, 731949, 463809, 244507, 795134, 215697, 35071, 347933, 186898, 573103, 436461, 56507, 600597, 551868, 981841, 818667, 150191, 942059, 375613, 196570, 68100, 693400, 694435, 317120, 812413, 59392, 692, 502697, 438860, 171628, 364107, 297880, 675120, 832536, 285333, 670858, 451129, 141444, 757574, 506889, 82059, 690845, 731469, 41845, 943544, 808179, 5834, 907066, 194039, 984643, 560638, 193805, 174406, 964831, 282186, 565667, 10760, 427544, 511741, 716519, 882429, 927244, 834404, 632848, 446969, 667377, 135200, 545508, 486881, 149207, 56523, 75300, 650296, 8688, 871862, 693842, 743699, 75264, 487822, 47263, 436625, 252013, 706988, 109892, 134106, 950155, 785407, 730163, 582374, 366349, 300734, 888722, 268244, 867679, 499225, 85045, 907614, 483449, 275542, 102453, 353511, 315870, 228455, 571767, 283113, 537453, 32761, 305874, 669600, 502942, 46827, 120361, 865673, 680463, 466360, 922742, 668226, 442069, 518506, 698306, 804768, 36300, 100344, 67816, 252597, 844340, 94767, 727731, 300961, 515523, 33530, 221699, 889284, 126552, 97262, 333954, 323420, 9446, 878658, 187177, 145136, 169149, 436739, 724847, 53674, 808840, 154439, 316938, 534655, 317717, 988000, 714515, 753089, 516374, 384486, 201045, 825404, 145168, 135183, 248951, 557192, 136904, 507192, 692732, 714607, 727153, 579275, 819080, 580157, 621427, 330302, 828210, 805191, 280978, 194977, 470819, 59644, 297634, 650646, 716431, 548070, 623209, 893986, 708656, 957469, 821285, 842163, 750873, 683567, 430821, 89025, 311702, 656940, 943658, 544615, 95940, 657126, 314771, 754305, 390618, 314748, 354048, 516487, 962460, 63662, 481402, 558851, 581131, 873150, 529324, 100026, 602746, 804049, 623409, 963299, 429927, 261556, 491453, 342018, 786542, 409903, 625381, 349973, 150712, 293700, 846505, 897293, 962046, 19428, 449983, 552260, 9971, 394119, 787906, 957777, 557455, 631839, 794175, 605007, 28980, 182547, 288804, 682683, 132335, 575640, 577562, 817814, 611405, 518789, 800662, 36445, 932931, 476534, 827730, 953521, 151983, 294492, 145440, 837431, 353067, 263547, 748705, 469169, 783971, 203424, 858985, 522073, 288988, 243007, 878597, 118017, 137088, 848832, 875363, 380814, 737758, 475711, 466916, 11548, 122908, 551082, 650719, 64444, 950343, 665512, 710168, 648891, 790239, 282232, 298508, 971917, 805303, 534061, 950041, 247554, 329262, 394986, 11938, 715832, 837748, 126670, 968684, 964631, 524905, 197493, 129778, 536219, 590678, 656568, 859066, 679023, 649660, 950145, 711247, 273279, 777189, 695077, 424968, 443492, 797323, 331506, 194582, 297675, 474831, 206136, 390132, 918256, 575039, 926238, 748970, 382860, 203662, 833052, 340854, 504624, 79926, 274376, 247817, 458073, 119489, 335184, 507931, 910886, 610875, 952179, 464684, 5409, 824918, 662903, 49643, 181920, 91367, 580026, 147, 850880, 882763, 459337, 858773, 925685, 630179, 102471, 806914, 229486, 697397, 166267, 346339, 658925, 987283, 634107, 116651, 311016, 222883, 384336, 570630, 270198, 539611, 3285, 24018, 427339, 39265, 218068, 540176, 884250, 689471, 947618, 634833, 160148, 490972, 191870, 742247, 166489, 54189, 263816, 431612, 653746, 31593, 374914, 284440, 631464, 644615, 11749, 544927, 829006, 525893, 765150, 166878, 969023, 771774, 781872, 972314, 403899, 47136, 867422, 327673, 611255, 37201, 560750, 430478, 321985, 800250, 291796, 866991, 617078, 144953, 951114, 320026, 134653, 694416, 80116, 418548, 575923, 723637, 311110, 666959, 329797, 851835, 718266, 357561, 103794, 172620, 696648, 148413, 502954, 203803, 338449, 924689, 915506, 564209, 435146, 602585, 36552, 259512, 234657, 306663, 28901, 577423, 16423, 603149, 8578, 883296, 382759, 326052, 508453, 418617, 756407, 283114, 961994, 290192, 538496, 939825, 345447, 548675, 428675, 413635, 162968, 755753, 308434, 562306, 641200, 59659, 320490, 141462, 318241, 723538, 846060, 973946, 635274, 788418, 251083, 512249, 153131, 920751, 902274, 61354, 562927, 229441, 808139, 808365, 538408, 749135, 538182, 117399, 761936, 898037, 69466, 717475, 663621, 760334, 625598, 80534, 40180, 76316, 271728, 252485, 822769, 668228, 843675, 507949, 386286, 967412, 735498, 933843, 870294, 822526, 134956, 845957, 411541, 87044, 849568, 548260, 846820, 677359, 780479, 706160, 805110, 450201, 976834, 547142, 36229, 868848, 282946, 613521, 954906, 710360, 102470, 419122, 650519, 140171, 122448, 839984, 750217, 633470, 223740, 929529, 769168, 919127, 752687, 74890, 362818, 130690, 584323, 109681, 926976, 179862, 774159, 987862, 648305, 268596, 87022, 153015, 357100, 493225, 637801, 903106, 578389, 759024, 73878, 300328, 780890, 579803, 632154, 242795, 480952, 98518, 759425, 74853, 464013, 19669, 317349, 569022, 781602, 587043, 445951, 645934, 916659, 448251, 158571, 707407, 833902, 833231, 136393, 406284, 67314, 551133, 450857, 876064, 176391, 893521, 383335, 350399, 172715, 973061, 39348, 358204, 455637, 767835, 154042, 470761, 113769, 755983, 134925, 324070, 519919, 628844, 615611, 198490, 746804, 864689, 862154, 64937, 884670, 111875, 26932, 926429, 207900, 679776, 890300, 43296, 189950, 410292, 874327, 589079, 845563, 634643, 898771, 794783, 824492, 955006, 269539, 556423, 902806, 843285, 419052, 35333, 9170, 296201, 174358, 766854, 961145, 23573, 414348, 595059, 421501, 604676, 62740, 426097, 299271, 668867, 641189, 950472, 595968, 25039, 901497, 225376, 101636, 875900, 247611, 89107, 670775, 313928, 369274, 156860, 776600, 656932, 272466, 122089, 661623, 211516, 716103 ]
990,087
[ 664636, 377331, 27830, 988326, 293888, 578359, 514655, 161126, 457222, 176730, 910186, 310652, 511075, 692550, 952422, 10377, 406917, 560409, 168588, 968380, 790390, 837515, 656201, 891820, 618566, 696434, 150105, 758922, 414204, 757636, 586805, 613962, 93923, 795455, 94431, 21514, 697667, 270039, 276721, 921491, 12342, 778281, 24307, 499280, 91799, 314478, 714278, 330313, 19893, 528471, 572206, 150250, 695253, 749039, 515330, 563218, 843631, 87929, 525136, 906527, 26970, 578997, 516913, 644080, 906607, 486183, 699116, 901035, 922035, 409274, 125, 815665, 825677, 152251, 372137, 940042, 220224, 388325, 46583, 855341, 524311, 547373, 488813, 50570, 21445, 869209, 276175, 15003, 574413, 37023, 828347, 671047, 421394, 836321, 341593, 912257, 804736, 983496, 671470, 545921, 489229, 977025, 761456, 775387, 7598, 560042, 858619, 868762, 140668, 83009, 847263, 237706, 99921, 54346, 78791, 201387, 66727, 300276, 213181, 192317, 424017, 611477, 551199, 177595, 372735, 563458, 556601, 395303, 642105, 752881, 407991, 488168, 363765, 541360, 325403, 87431, 918517, 913729, 569510, 232921, 458030, 678025, 521632, 802711, 934675, 913862, 436435, 694810, 481637, 885631, 764828, 850084, 102697, 692000, 248320, 508859, 709762, 544109, 713107, 301715, 495870, 468848, 853290, 659409, 325524, 768266, 503642, 681095, 485794, 557054, 906425, 488252, 634513, 783334, 67368, 402092, 894895, 192491, 988846, 15206, 406525, 178373, 937873, 709256, 824163, 848053, 429018, 895127, 872235, 360293, 913404, 927975, 883516, 91477, 823037, 875373, 436342, 638925, 894005, 786074, 110552, 101879, 845567, 434196, 57210, 845955, 428808, 446852, 270793, 8395, 18917, 423508, 439575, 21429, 322546, 113548, 755135, 914378, 370891, 946812, 404219, 166790, 201279, 351309, 538610, 393969, 72423, 965895, 813168, 311607, 553507, 769870, 468964, 348492, 508157, 253009, 526221, 953894, 843186, 29498, 26930, 13358, 577601, 550139, 737639, 382099, 736067, 230823, 722279, 109986, 396486, 725604, 259487, 131095, 852626, 352337, 552587, 930918, 846898, 5137, 409817, 682353, 199047, 207448, 163770, 571207, 810800, 508758, 899676, 227995, 221720, 925262, 484043, 785801, 890775, 747858, 316288, 134733, 347639, 989281, 350619, 812886, 730739, 465396, 418456, 255850, 264391, 646238, 619008, 978912, 645079, 567376, 313167, 517409, 376141, 388802, 872109, 768294, 175959, 171492, 472337, 215774, 947222, 300344, 197394, 472510, 358891, 836702, 694622, 664468, 929949, 681818, 661180, 65731, 95719, 348090, 810126, 791543, 344709, 983235, 918732, 1510, 921303, 51459, 858655, 749115, 575165, 954988, 778906, 854906, 540854, 160243, 283577, 252711, 256418, 783283, 429163, 986605, 438079, 68673, 260318, 901338, 645181, 723608, 832774, 18288, 201358, 70137, 723822, 429752, 439610, 713648, 372247, 510291, 961118, 950586, 515804, 427480, 17152, 612264, 319116, 877714, 684123, 384158, 657167, 839252, 452727, 942983, 855040, 554033, 903627, 12370, 920151, 570656, 395592, 839876, 367008, 555364, 349143, 117647, 840573, 314957, 169012, 161259, 841190, 940278, 279611, 611232, 20682, 606501, 931875, 861861, 505503, 625918, 467550, 375294, 176683, 211587, 706869, 306468, 914674, 977195, 605099, 796170, 275261, 522101, 588169, 254507, 591345, 149291, 66999, 640967, 627906, 22971, 432, 499294, 737042, 486156, 653045, 978264, 551888, 389153, 460581, 759235, 565396, 395299, 171290, 604016, 300049, 497452, 47956, 944740, 247376, 174473, 722743, 859229, 812329, 202392, 61423, 795314, 676070, 396911, 402611, 223663, 495771, 466354, 651320, 213305, 957633, 136910, 189598, 396495, 425260, 926743, 705933, 440245, 707648, 809926, 575291, 156134, 62470, 636951, 942177, 960286, 447791, 164615, 281178, 343090, 975502, 816153, 782601, 186574, 979951, 294064, 154846, 421677, 846384, 609691, 52728, 141093, 668095, 722524, 392621, 475457, 547047, 839680, 196675, 410054, 869393, 368023, 982852, 558647, 188505, 10500, 337711, 723418, 591673, 737270, 102768, 909985, 463651, 937754, 704084, 476773, 831096, 830069, 894010, 974298, 681157, 285657, 879717, 149354, 184102, 652475, 419006, 871847, 434508, 89496, 337273, 577957, 608141, 168016, 890986, 840675, 967420, 785340, 376546, 3568, 792771, 989683, 398337, 967735, 622204, 559951, 771799, 104795, 275339, 505876, 210477, 253312, 715405, 242539, 276496, 244327, 174919, 862981, 684797, 504603, 932968, 736034, 871714, 986862, 152954, 804191, 884839, 114423, 88446, 878277, 834633, 305967, 830590, 101679, 422924, 872808, 643525, 726090, 390424, 955045, 850111, 819121, 123940, 358122, 107422, 979654, 132231, 12761, 182604, 691309, 482065, 140868, 713126, 831245, 131585, 187639, 125224, 338999, 167702, 893013, 538898, 901818, 649581, 714622, 231865, 465546, 592792, 341128, 581029, 21552, 364449, 323518, 592553, 95749, 345774, 406855, 677482, 795781, 228427, 607237, 678716, 813646, 723506, 680842, 725198, 712283, 988371, 120839, 779018, 954547, 212098, 101469, 570214, 864405, 786619, 278308, 262822, 399617, 54183, 32795, 902297, 632676, 848128, 290881, 657249, 785959, 392037, 423902, 464556, 252134, 476457, 839056, 660293, 518466, 861834, 832714, 501007, 664494, 846235, 429962, 366033, 599803, 490602, 652381, 137099, 418486, 837040, 260778, 402546, 178913, 958750, 625738, 663811, 152025, 10806, 764444, 186074, 829150, 202827, 684057, 805021, 670457, 127184, 165081, 337801, 192751, 209156, 37988, 328136, 620145, 821891, 819033, 284515, 463548, 748974, 919357, 983895, 571281, 177692, 293705, 137296, 936901, 7965, 9048, 65908, 917291, 506462, 495032, 821423, 957754, 428513, 648735, 382297, 175330, 531427, 783666, 418255, 5404, 671400, 694172, 536703, 426224, 75325, 75516, 93170, 420945, 666110, 734193, 279824, 61062, 425444, 459190, 222672, 103392, 162032, 138429, 109202, 684973, 428308, 419013, 358140, 272616, 407176, 285344, 663489, 822313, 337228, 486429, 653372, 17954, 658134, 402718, 497999, 595593, 674340, 52619, 942250, 309446, 596372, 695926, 652947, 525323, 548289, 460480, 306590, 538549, 297836, 896598, 374560, 70468, 678509, 967678, 241493, 971830, 42029, 910879, 913389, 287880, 891936, 826068, 637272, 694024, 444250, 4621, 769687, 661282, 446, 620117, 59769, 557963, 620615, 236519, 429916, 586842, 556992, 245431, 606865, 679576, 179176, 793873, 498234, 400000, 78157, 143942, 904337, 366164, 25304, 249211, 383965, 395987, 505607, 547975, 123708, 345225, 670689, 771365, 215923, 221442, 753209, 955118, 389731, 670563, 677995, 355340, 183996, 103499, 354564, 794899, 126772, 809022, 853506, 875948, 88539, 952137, 4503, 124388, 972919, 764167, 163495, 545070, 85156, 35264, 658270, 348559, 869115, 908851, 308456, 448036, 595960, 561122, 216784, 361480, 59165, 493845, 912339, 733617, 6287, 802355, 515165, 98929, 136981, 112422, 26026, 668169, 153335, 597866, 945533, 163338, 12455, 918472, 155982, 776431, 657892, 180933, 309115, 276866, 283786, 482170, 364150, 302587, 872531, 506315, 10652, 770161, 932255, 278580, 204696, 786771, 566953, 200765, 232936, 374011, 360100, 510090, 199562, 783370, 100051, 206142, 54916, 861314, 306524, 378287, 936890, 354815, 688090, 165237, 501012, 417577, 104496, 739224, 571813, 830000, 404975, 968580, 482562, 321716, 375335, 932851, 579319, 118794, 832126, 461626, 882019, 210461, 240327, 969377, 162352, 666853, 622267, 377932, 454317, 278263, 678953, 221425, 655442, 368173, 691556, 382796, 702967, 861920, 290992, 693487, 578364, 784218, 471247, 921780, 814193, 344354, 136804, 816964, 962261, 988915, 162546, 836058, 548105, 194597, 845643, 728648, 768233, 883495, 982751, 472931, 566528, 641448, 306465, 755360, 178936, 279831, 557208, 139347, 39955, 985215, 108549, 748761, 570664, 600051, 64385, 440608, 292211, 944348, 752984, 20817, 749839, 823695, 21598, 886500, 852921, 360932, 567994, 543277, 332199, 538108, 442134, 212059, 529874, 559152, 545878, 571200, 312704, 546884, 867418, 26302, 940463, 440875, 589152, 582477, 716392, 105104, 507945, 934051, 781213, 647382 ]
990,088
[ 884183, 266668, 456104, 3138, 377810, 832646, 242891, 715560, 546290, 871675, 255257, 364910, 618021, 578841, 861431, 485720, 549115, 687078, 243165, 127379, 587491, 433270, 497255, 807512, 351578, 109097, 277488, 550639, 868915, 399101, 495831, 664200, 698206, 905969, 415467, 404449, 950280, 143562, 811733, 489251, 547899, 38193, 485960, 700789, 634795, 590668, 648249, 522133, 530989, 444056, 743263, 768117, 83698, 675451, 357295, 729796, 437924, 738979, 786731, 664055, 121870, 678777, 86383, 224013, 611242, 347220, 799461, 970099, 729647, 917739, 331583, 961413, 844522, 266643, 48226, 624089, 713039, 228554, 525388, 781422, 389873, 846410, 864079, 704226, 729786, 856222, 175660, 629454, 53368, 801850, 789011, 363411, 679407, 181424, 557636, 99483, 166212, 250820, 362581, 658730, 286953, 768965, 963896, 558824, 209894, 777771, 487816, 252888, 241319, 57046, 58282, 69108, 731921, 96627, 172567, 823823, 746519, 980256, 256541, 555032, 338805, 683373, 741706, 147784, 565478, 756286, 545077, 264320, 925923, 149070, 839547, 378825, 883000, 510136, 806684, 118956, 931175, 561123, 147929, 986323, 942294, 153401, 455154, 766008, 480490, 969502, 753665, 612288, 874118, 57894, 861080, 125318, 28614, 678061, 389835, 488253, 628359, 761291, 857008, 553170, 532219, 517995, 509024, 653773, 730484, 263719, 806805, 773015, 805790, 440729, 863085, 919101, 743297, 271321, 640511, 329279, 616875, 314552, 557087, 634993, 101788, 940202, 899769, 612067, 596611, 657407, 91517, 148039, 423244, 397344, 346766, 497812, 247420, 284752, 124809, 164216, 1872, 39520, 977177, 911260, 848376, 174541, 854689, 251208, 716363, 765796, 47174, 392537, 754278, 392656, 456066, 952602, 554739, 441927, 382404, 148566, 414343, 115417, 256800, 392211, 109591, 388032, 54049, 980090, 774480, 641390, 263825, 266457, 619144, 444046, 241924, 72668, 31870, 940386, 937502, 289578, 10826, 567151, 407502, 731676, 605010, 939233, 326719, 703585, 344610, 658277, 780247, 384521, 649809, 950065, 633827, 592049, 711061, 798995, 28227, 371064, 422325, 936364, 769929, 872277, 667073, 556512, 517835, 379297, 68046, 636459, 257481, 853242, 156729, 829997, 896481, 944936, 620587, 18778, 903365, 877531, 843992, 101639, 137129, 655400, 882082, 702432, 645401, 66920, 799468, 231575, 912608, 269482, 741910, 852029, 220512, 166418, 321975, 755661, 355355, 565709, 953865, 817992, 769841, 222557, 195702, 9869, 199011, 674089, 568058, 786947, 275117, 771697, 338276, 190773, 849018, 956259, 675583, 778754, 683930, 633853, 791457, 6420, 289524, 265917, 198591, 534850, 976590, 641102, 815204, 683954, 412892, 197956, 538438, 495395, 254503, 864114, 389717, 744599, 820837, 942882, 543090, 348713, 606961, 651322, 25800, 878269, 988432, 928336, 198115, 8188, 778262, 714764, 398931, 779240, 988031, 517705, 713821, 249989, 605900, 786834, 539124, 662160, 722589, 719309, 179503, 132214, 608370, 235125, 961043, 382497, 155714, 887556, 302600, 20223, 757817, 765935, 412146, 48041, 302419, 534144, 741563, 345747, 254308, 639980, 594793, 787067, 240185, 624133, 416042, 534167, 540726, 213214, 513552, 903354, 175214, 575641, 602773, 323632, 824082, 918532, 655573, 493074, 187704, 303101, 172909, 179418, 909424, 264716, 560122, 807257, 492110, 191700, 929354, 649761, 179398, 803250, 843608, 790356, 390073, 900591, 788563, 942574, 794619, 803542, 428019, 774998, 676306, 229023, 111364, 435538, 200666, 807420, 898840, 819243, 645895, 564597, 389309, 934693, 565377, 747272, 835300, 9493, 411877, 96433, 474206, 223196, 78965, 826519, 438639, 798040, 852638, 672323, 903331, 47503, 900064, 802448, 425908, 209248, 609029, 79535, 622679, 908210, 204131, 242164, 858692, 774686, 296598, 65408, 172562, 752679, 180851, 924408, 497234, 449309, 747816, 294060, 447133, 55395, 115646, 309721, 650993, 459260, 665256, 932766, 344272, 405179, 624307, 295677, 425154, 345392, 338877, 815485, 573704, 562071, 406245, 939228, 957335, 227481, 359305, 90016, 576810, 69761, 560301, 885022, 684189, 811192, 301479, 788295, 656677, 170829, 529255, 778085, 461996, 960399, 391355, 119353, 815561, 883472, 593869, 211843, 111002, 273988, 156136, 602118, 911991, 665333, 128467, 777955, 849828, 73270, 456817, 706791, 53216, 181699, 741740, 448844, 491232, 881838, 559656, 711780, 676309, 897856, 565518, 417728, 394516, 192099, 726158, 876459, 340127, 545205, 251640, 842465, 621331, 945166, 856215, 354760, 27361, 62090, 309955, 649818, 521461, 641627, 580466, 699957, 347758, 552666, 726843, 8612, 614058, 587398, 608490, 492777, 913086, 312735, 440966, 183663, 102958, 67323, 734956, 963263, 241431, 332087, 220052, 960770, 126275, 362021, 518671, 679101, 175815, 635052, 376621, 844849, 441673, 843421, 719927, 691688, 371706, 304789, 469529, 424023, 504343, 921268, 822370, 383579, 365231, 631421, 851903, 816713, 703605, 257510, 826390, 597129, 373216, 41588, 48479, 48531, 751975, 456115, 838291, 202930, 270447, 416613, 517736, 558642, 562077, 18134, 731460, 411613, 835698, 940530, 451501, 262420, 916031, 58427, 450532, 407296, 799284, 416856, 463321, 722083, 679545, 65148, 328889, 288232, 544765, 373467, 614933, 827940, 958581, 820928, 96906, 40037, 657295, 307624, 141079, 183235, 552977, 885537, 31933, 272494, 291142, 442170, 324691, 664336, 858834, 251597, 328087, 302934, 275290, 588628, 195491, 788426, 897307, 375840, 102858, 510298, 895966, 738718, 81719, 601431, 767857, 355953, 945948, 961188, 742350, 391271, 531244, 844227, 150059, 656460, 560963, 398415, 92601, 841479, 634900, 770639, 61013, 637485, 689423, 671545, 359112, 283604, 254527, 923359, 441474, 13572, 632290, 886065, 356885, 311178, 810375, 187064, 384709, 724439, 910908, 853805, 422668, 47663, 142179, 507482, 243693, 61002, 662577, 773084, 146190, 256592, 346843, 201594, 570564, 409949, 21744, 37769, 345598, 784573, 656818, 749474, 703809, 709982, 945683, 535832, 974849, 457970, 713298, 18026, 476687, 413717, 895210, 505299, 730567, 437831, 158429, 189952, 687562, 9361, 392274, 692549, 633008, 365835, 804075, 422916, 7759, 419689, 459223, 691329, 747182, 857235, 651745, 762594, 825265, 966129, 346976, 601207, 71079, 870955, 415029, 140141, 130531, 650383, 868038, 712450, 607044, 69742, 88949, 951088, 161038, 106510, 958458, 285836, 319741, 733142, 396525, 423601, 136672, 71744, 380310, 378940, 151373, 312938, 105417, 125349, 437637, 772393, 671148, 65663, 119874, 64225, 797800, 593271, 319088, 32387, 226927, 892217, 172064, 896020, 925231, 878799, 427609, 570429, 472694, 108701, 922412, 540804, 465094, 94631, 765703, 933627, 349276, 408513, 409753, 415908, 771058, 772369, 22354, 365784, 265378, 632520, 232212, 8468, 204309, 589968, 825864, 984089, 356103, 368934, 416768, 446562, 598280, 667287, 607800, 546515, 584013, 896363, 156910, 51517, 6997, 90598, 469581, 93342, 491388, 382551, 553550, 912577, 569808, 218715, 946596, 3008, 445798, 76197, 472109, 891155, 767173, 662599, 766680, 766653, 271779, 835530, 970724, 620939, 777913, 373588, 582894, 274023, 375226, 469283, 453813, 705485, 814349, 445390, 569032, 883273, 315247, 519264, 113453, 59642, 348755, 662737, 428464, 561557, 332519, 246551, 125244, 585498, 552215, 266132, 482644, 957403, 403156, 65964, 177973, 575675, 870518, 289704, 826788, 52290, 547549, 672630, 754024, 667203, 660002, 892639, 554986, 579725, 506498, 323221, 241792, 425803, 615596, 328544, 634223, 93213, 279103, 284552, 694694, 730284, 92648, 350340, 225099, 834748, 608979, 97759, 912186, 748721, 122643, 725676, 647390, 873587, 137762, 905552, 345033, 740642, 488189, 710944, 829318, 216839, 984208, 80838, 482877, 428325, 182247, 94204, 237398, 835239, 381157, 432076, 241879, 94221, 345952, 938882, 587781, 462643, 144621, 378814, 589825, 787672, 415032, 169520, 704569, 438774, 309880, 450750, 863537, 394469, 647485, 185540, 589619, 427720, 791559, 826458, 417056, 517486, 134697, 917311, 237035, 151678, 187446, 844552, 176044, 130779, 243226, 561194, 538299, 431096, 754191, 387326 ]
990,089
[ 631284, 532754, 29796, 112366, 774710, 805089, 21556, 849284, 920104, 358242, 96539, 859893, 896355, 213923, 821829, 977160, 65762, 401416, 752621, 752015, 184519, 884820, 339456, 350468, 467574, 950734, 152325, 912641, 754153, 494827, 668376, 401393, 457171, 823379, 899443, 148743, 876595, 90721, 653335, 731451, 15161, 36410, 684215, 690341, 418329, 902545, 879249, 849974, 44819, 501492, 903081, 625943, 541676, 580851, 299864, 427012, 36804, 663360, 222939, 512665, 584055, 652482, 190155, 226046, 895128, 153646, 7745, 299803, 545322, 258130, 135399, 22492, 269980, 282957, 528168, 851417, 231503, 152795, 351891, 963315, 353693, 133789, 709735, 881440, 682043, 262020, 796135, 223575, 819009, 444683, 277213, 713966, 566206, 957027, 647582, 911467, 934590, 28437, 285787, 806427, 31765, 287196, 371882, 152223, 964606, 751339, 137414, 255522, 78156, 377653, 730505, 718646, 737402, 582041, 181636, 9518, 347475, 323089, 885137, 276686, 989562, 214026, 584766, 300414, 870340, 640207, 533274, 958760, 50277, 55918, 745606, 222859, 644445, 911664, 130202, 479918, 938646, 370669, 886675, 819552, 13912, 16888, 867629, 176367, 297023, 712618, 36890, 480312, 116072, 938320, 237257, 697531, 260591, 942114, 290681, 585208, 88300, 656854, 641018, 166905, 49914, 504029, 245306, 734651, 912730, 418600, 670042, 842901, 29718, 443312, 79019, 480499, 584263, 532092, 34803, 287776, 580114, 847644, 601820, 727090, 717698, 34003, 183129, 155350, 799816, 685199, 673721, 256613, 684770, 446948, 184926, 283747, 12284, 927198, 966467, 945559, 462696, 390656, 972234, 296004, 945432, 674916, 612947, 298707, 409253, 3795, 231810, 389876, 310173, 203860, 748551, 878999, 20082, 34256, 937563, 808726, 73292, 831314, 469239, 573527, 392708, 862212, 766807, 326404, 5415, 971203, 105545, 988710, 605373, 923407, 475668, 76126, 532658, 559263, 267201, 777237, 168907, 248504, 158569, 766842, 200618, 503328, 876574, 591702, 47303, 440284, 649051, 200528, 727108, 726654, 534577, 112711, 962687, 918822, 856122, 572644, 85209, 297033, 333917, 948453, 785420, 398129, 613447, 888744, 934774, 194916, 291398, 934885, 750791, 669970, 471144, 174913, 702728, 404291, 448978, 295186, 977809, 976260, 260969, 138348, 381419, 13033, 610253, 395372, 834467, 187684, 874835, 589806, 856577, 731272, 18457, 577243, 334690, 101887, 974217, 431850, 758030, 516335, 675884, 416253, 505164, 190273, 158770, 149933, 980974, 624235, 301905, 15604, 364905, 474746, 849691, 178306, 927822, 431760, 416451, 706759, 746785, 608517, 739294, 464422, 132365, 31120, 464127, 721315, 143628, 311980, 103536, 275498, 644262, 255659, 321680, 459228, 274747, 664104, 755333, 468888, 511267, 196744, 496694, 870033, 926720, 800065, 332671, 289539, 957508, 549662, 598396, 908072, 849584, 901382, 976568, 779303, 798385, 138863, 940531, 820169, 901913, 189055, 493511, 320528, 267780, 389832, 761515, 936493, 907576, 213206, 46485, 749733, 11597, 603017, 10953, 359188, 299373, 638472, 825797, 17517, 138051, 462068, 380807, 127045, 44677, 439370, 793420, 539278, 612408, 123908, 109289, 559174, 231959, 510024, 813349, 577523, 912085, 129922, 447095, 123742, 315498, 346320, 85317, 758454, 574199, 382481, 494858, 59021, 824521, 740221, 922039, 818554, 287165, 330359, 478705, 692302, 284873, 802896, 919062, 865150, 444933, 552568, 633114, 410597, 708829, 494316, 145735, 83203, 5800, 101752, 172214, 526844, 309514, 276011, 720249, 811835, 364133, 94045, 355134, 495298, 115736, 389184, 855403, 511777, 77856, 522481, 985533, 372044, 523305, 319903, 71234, 137947, 456496, 760, 557265, 406692, 623784, 56606, 348962, 57872, 591112, 182809, 616757, 74508, 820098, 762217, 75526, 854275, 950200, 517651, 34861, 697053, 216913, 883224, 461085, 577935, 91635, 800737, 440220, 657155, 565511, 618882, 590787, 374014, 87669, 80373, 455084, 537239, 105147, 364760, 219289, 600217, 528702, 307501, 123562, 161367, 210421, 242127, 901796, 324095, 286914, 651758, 847987, 289874, 72694, 845185, 500981, 459552, 198587, 523905, 188550, 532008, 662071, 14197, 482401, 814116, 827192, 866761, 90783, 105226, 785674, 320148, 210982, 351777, 547197, 508562, 624260, 399345, 56142, 5482, 553140, 837930, 375299, 931911, 595731, 860397, 921879, 566316, 910034, 204569, 317401, 384387, 469462, 225862, 651607, 254132, 235091, 766623, 5519, 512956, 630359, 695860, 873932, 123201, 103331, 393929, 192657, 966935, 528185, 868553, 952526, 304061, 931732, 876700, 12951, 980546, 629541, 240800, 801858, 423542, 710838, 389969, 194884, 290158, 612998, 573792, 8599, 903158, 595394, 187980, 970029, 257168, 314411, 54656, 235749, 366446, 440436, 101608, 49250, 775317, 939133, 714636, 970213, 559793, 499148, 931668, 544904, 7584, 552727, 788149, 563731, 24387, 813468, 514857, 261822, 784778, 171390, 643883, 662218, 847905, 547, 550329, 26663, 154627, 247049, 973422, 508358, 511818, 379088, 591494, 472880, 120467, 487776, 348551, 659510, 956262, 765913, 734854, 183824, 249995, 412232, 242177, 132156, 628674, 825204, 57146, 884089, 220684, 655581, 762550, 568393, 254020, 777441, 661131, 123022, 141468, 571985, 618505, 820452, 337027, 515371, 901180, 310779, 461587, 909950, 500016, 142453, 708934, 605484, 102165, 755160, 436121, 44755, 746588, 343863, 325306, 634250, 56069, 841986, 833039, 987438, 530357, 646370, 688882, 832243, 397371, 91357, 740926, 650502, 129342, 583934, 286459, 108677, 575477, 39258, 252429, 890055, 932848, 505418, 826475, 959821, 36902, 139747, 504974, 660, 814317, 123319, 368876, 510322, 965045, 857722, 526535, 818600, 93415, 357589, 464289, 275803, 213564, 70494, 678659, 545864, 881311, 821252, 869597, 810446, 535695, 308103, 785618, 720488, 187065, 828728, 360378, 419160, 207684, 123421, 660866, 433780, 247919, 309002, 176021, 754449, 67187, 242371, 719635, 911317, 423166, 759671, 912602, 545597, 395140, 181264, 641331, 971801, 862474, 564206, 942206, 403699, 675972, 792750, 138238, 710600, 358957, 581049, 688196, 318651, 317642, 947138, 696097, 900845, 304038, 572735, 179808, 832642, 848267, 353419, 764266, 967064, 744863, 281238, 734881, 43546, 443615, 306448, 485913, 943962, 247601, 954219, 604805, 509693, 262911, 794138, 319962, 419967, 47197, 341083, 758947, 831016, 503525, 186451, 818146, 781014, 133356, 130598, 818634, 948636, 311036, 86373, 652479, 97064, 756191, 35110, 896568, 903172, 845759, 767306, 116997, 661896, 958479, 727647, 739904, 555057, 940579, 490367, 47913, 755936, 478502, 307461, 619302, 529636, 70082, 586733, 35044, 775865, 860164, 463138, 81805, 167433, 218980, 93193, 732732, 56368, 797166, 912452, 66272, 786582, 425906, 838815, 509623, 941785, 603019, 760020, 495955, 835027, 799867, 468714, 644617, 440261, 352328, 877422, 450958, 208535, 140283, 989698, 624523, 856330, 756359, 450090, 108733, 660750, 883578, 327209, 196846, 544139, 417810, 498784, 739772, 281890, 970927, 711395, 841764, 523039, 218539, 623560, 962718, 946162, 109462, 108381, 673710, 99030, 383411, 259454, 220408, 156452, 236086, 75473, 465989, 886406, 572080, 345647, 57320, 596006, 783540, 174892, 781779, 479836, 392760, 285106, 278590, 906731, 432900, 397582, 613799, 496774, 895250, 768608, 75484, 581327, 451400, 283608, 520871, 262788, 763437, 618936, 539703, 724556, 481094, 113024, 284896, 420672, 644197, 693870, 138674, 658822, 756566, 889079, 849154, 211954, 183526, 265693, 63432, 76655, 145469, 213989, 482265, 956159, 244089, 243005, 40628, 315346, 343794, 329532, 94935, 387996, 676958, 278277, 278502, 64805, 837825, 27052, 683799, 561068, 671563, 823939, 101914, 720942, 896790, 476786, 521416, 304207, 149503, 487536, 854828, 827102, 897576, 685013, 855276, 451550, 987262, 170499, 739014, 366072, 855327, 662001, 151374, 785201, 774975, 447122, 967853, 238378, 296071, 567646, 63400, 603961, 870580, 973735, 969678, 522983, 37686, 568709, 941734, 901601, 337665, 734609, 688386, 760723, 153517, 665460, 671248, 933690, 291787, 516777, 900614, 697212, 964789 ]
990,090
[ 396890, 129430, 269293, 555308, 352333, 436528, 689306, 96516, 635789, 420259, 334883, 761951, 942895, 286490, 976669, 817395, 602987, 657713, 884213, 920197, 180242, 301252, 902515, 678633, 126476, 197957, 490113, 964969, 231256, 209149, 330032, 23380, 192555, 595454, 764026, 332205, 121367, 432048, 82694, 609477, 597792, 240269, 642689, 373741, 796873, 134809, 783420, 709803, 727420, 516663, 305482, 170106, 239322, 711075, 283898, 157467, 392191, 131950, 982506, 778296, 469673, 775502, 740701, 296329, 681952, 20829, 331950, 801495, 821998, 586840, 708266, 73600, 656063, 766466, 808812, 403660, 145568, 139125, 673612, 87330, 891403, 226039, 372097, 617919, 115926, 586338, 868559, 204511, 218199, 972494, 118161, 830731, 586223, 392376, 326588, 743262, 624647, 518537, 420921, 569624, 617089, 597840, 802535, 58229, 338064, 52080, 62146, 303732, 10428, 382620, 350088, 777409, 298907, 443218, 90133, 124488, 887265, 976923, 225737, 373075, 985871, 942146, 138964, 702914, 413966, 165054, 607380, 345193, 462422, 227606, 104924, 205887, 492785, 896091, 491437, 334091, 811729, 399896, 494381, 418857, 544357, 922493, 603693, 146643, 782550, 485205, 745214, 851564, 542955, 564080, 700130, 715633, 165990, 386860, 688109, 587359, 604048, 896066, 286047, 338294, 116002, 323355, 680404, 752886, 519690, 520568, 485685, 648090, 883331, 427715, 331796, 482278, 902825, 159856, 707580, 636230, 825297, 465592, 327138, 326353, 692642, 627337, 410149, 509491, 643544, 922496, 437550, 186833, 203518, 680560, 728589, 498288, 174637, 581657, 870362, 447721, 661992, 169597, 629543, 146969, 888975, 62394, 391023, 529640, 557011, 445530, 951529, 264146, 188988, 309513, 329128, 571950, 703195, 926647, 558651, 573471, 98072, 313660, 778182, 803916, 751291, 826292, 397162, 75862, 523544, 674764, 79060, 940130, 137021, 76929, 337414, 873114, 485263, 321835, 922623, 792221, 48974, 780906, 313767, 697994, 680778, 63467, 974669, 848825, 794477, 543192, 469687, 850656, 514518, 485325, 314544, 284514, 2396, 386047, 491376, 670421, 327224, 517496, 875851, 638717, 142872, 499322, 536538, 496769, 917783, 574268, 537279, 539011, 254620, 553758, 77728, 117254, 42843, 218482, 682553, 50300, 842075, 54156, 612729, 241020, 417241, 89384, 2034, 887366, 630711, 46474, 188638, 591237, 123976, 937857, 791460, 187389, 469456, 81123, 799681, 900241, 643800, 923471, 342797, 100536, 634062, 257374, 123697, 307619, 976425, 342465, 229787, 325786, 732441, 544759, 8515, 206670, 442014, 469213, 12549, 27438, 856300, 917806, 75944, 134771, 910643, 41705, 697725, 927663, 163180, 24426, 761841, 806976, 623773, 677687, 264015, 199614, 176700, 444481, 44612, 989312, 226360, 226868, 547917, 588184, 987737, 508234, 876134, 287180, 846424, 71106, 322417, 487573, 841053, 571230, 325270, 810479, 429350, 878644, 551867, 188437, 4436, 761603, 441065, 108632, 70505, 42924, 560579, 379196, 44784, 202633, 429506, 89782, 917792, 445492, 842189, 454247, 337705, 3887, 816214, 166413, 873711, 965230, 507173, 350710, 79025, 265835, 472331, 722604, 350477, 88701, 872435, 819680, 704370, 277637, 548739, 726271, 489722, 9008, 621393, 615361, 964636, 402804, 97300, 180438, 249196, 7359, 505643, 590570, 119044, 412803, 478579, 491050, 615652, 585861, 384002, 802638, 19609, 860612, 19608, 208751, 31885, 687653, 158338, 211844, 573875, 144861, 977239, 428402, 83405, 927882, 78609, 277923, 497089, 727986, 382623, 896254, 397448, 558151, 367580, 468347, 695340, 639897, 638311, 213461, 850130, 102657, 645605, 692675, 646112, 168050, 641796, 369974, 311975, 843595, 770355, 140236, 319540, 310721, 550977, 549257, 708605, 551464, 242455, 471907, 71543, 467421, 402047, 579499, 696349, 366325, 254480, 784359, 17110, 423124, 711011, 460048, 700238, 538340, 72647, 446149, 84113, 575822, 535707, 26866, 604002, 658552, 845539, 520416, 47003, 670469, 650299, 688758, 325614, 334078, 169392, 837414, 351344, 88150, 850000, 192868, 887192, 847541, 493099, 444327, 828693, 861761, 521733, 892316, 524925, 39404, 289412, 389440, 912511, 197741, 605245, 475603, 570167, 196659, 766716, 629644, 279690, 430926, 596135, 411246, 961221, 890838, 366729, 633383, 874989, 154103, 154323, 780647, 49041, 100906, 600621, 491230, 830389, 357859, 605676, 802290, 567416, 98641, 334529, 676608, 198303, 798234, 501945, 596988, 85126, 716833, 397689, 838850, 578821, 738521, 626418, 234092, 770371, 444484, 793507, 425834, 3199, 972804, 614042, 802286, 965636, 161856, 295045, 673790, 499750, 705224, 841820, 240685, 508708, 653607, 683926, 404980, 347223, 240907, 634027, 617622, 883770, 852152, 781425, 498189, 560776, 232949, 121600, 325962, 158990, 444157, 289853, 343210, 471526, 134634, 704810, 389597, 712996, 493195, 313706, 868954, 949520, 718100, 634220, 501352, 376091, 764082, 870817, 292981, 175961, 266644, 321239, 463919, 124043, 477417, 23758, 23949, 691079, 94797, 70077, 651681, 427520, 468144, 585805, 174021, 919634, 102435, 880917, 253951, 841123, 375656, 770467, 915395, 246712, 529763, 363331, 383428, 71405, 385064, 391575, 121373, 820449, 828750, 852406, 757114, 578514, 951821, 358037, 54546, 270230, 8769, 880007, 230419, 148874, 91143, 357408, 200355, 689130, 317155, 650217, 825021, 666850, 722561, 497552, 759844, 946340, 39330, 961061, 861544, 106111, 791829, 337530, 630161, 10466, 661798, 365582, 517638, 606428, 699158, 388565, 289529, 710861, 113352, 504674, 236927, 436460, 67943, 26765, 738816, 41383, 415361, 208846, 6510, 989818, 619335, 599572, 773690, 934952, 562081, 457594, 349026, 457869, 357942, 93101, 368679, 622361, 310263, 121341, 311955, 437110, 829010, 751146, 421303, 145596, 593781, 278565, 353474, 520422, 421572, 306921, 157018, 327736, 184422, 728853, 568248, 944980, 579294, 344790, 222480, 394881, 977811, 9606, 438577, 350267, 798609, 522967, 943771, 310501, 546156, 1594, 413017, 771503, 903988, 826683, 550460, 934605, 883726, 162699, 758492, 612063, 315994, 920421, 946083, 571721, 720227, 915919, 308792, 978162, 786168, 550184, 179744, 451215, 377279, 16302, 519217, 349183, 792375, 64340, 589974, 665948, 966853, 345641, 27999, 274479, 706809, 228344, 342598, 735028, 620387, 763311, 532763, 641912, 501241, 179101, 298101, 238890, 573604, 714299, 464937, 804150, 193034, 654222, 674951, 383968, 63114, 22300, 191595, 54344, 576229, 849795, 883519, 537932, 442342, 903274, 537591, 667329, 110916, 386199, 821769, 441257, 218056, 960173, 414393, 186658, 845513, 261362, 855331, 728373, 849163, 26442, 482185, 171637, 674241, 177880, 215621, 564564, 262414, 316955, 17458, 863275, 671001, 251938, 429261, 329227, 399538, 318805, 728846, 524424, 660274, 819929, 483287, 427379, 89214, 625677, 76490, 851715, 2403, 879907, 50248, 41528, 872567, 254762, 789177, 637169, 276187, 337162, 146842, 101503, 496933, 369616, 544316, 613077, 304958, 1786, 115471, 924557, 162218, 926634, 863384, 216998, 482837, 363012, 947113, 756772, 489159, 240242, 403969, 640673, 654996, 511286, 547988, 903249, 480905, 444905, 132423, 406893, 106001, 497276, 12729, 103464, 152616, 771499, 934627, 487442, 205614, 412938, 945624, 147103, 870220, 535947, 502515, 493762, 294954, 283899, 941538, 791994, 468278, 677189, 200286, 980753, 320035, 953747, 458798, 787243, 336275, 177594, 908565, 710505, 792268, 177795, 972395, 765389, 766891, 894354, 547063, 607851, 811158, 513638, 455052, 25205, 317134, 268351, 135610, 965062, 922548, 700527, 852080, 589366, 206482, 516341, 578478, 605177, 225391, 915838, 116385, 969733, 410628, 27064, 774829, 56735, 80495, 403456, 432240, 303311, 918120, 961074, 86697, 762940, 80621, 162910, 419090, 860315, 528070, 475605, 269000, 292321, 701379, 857593, 104886, 449133, 550982, 153802, 735554, 435124, 477270, 422261, 483842, 441094, 542422, 442309, 232738, 118005, 40190, 872608, 926011, 389186, 51541, 6730, 833529, 4018, 767053, 398385, 417582, 531474, 883920, 184364, 371295, 130049, 261386, 3116, 423613, 815021, 473045, 473149, 765161 ]
990,091
[ 133924, 126311, 743354, 783376, 347573, 383245, 320884, 881907, 159651, 193041, 452008, 387276, 861010, 2766, 534031, 922235, 108275, 139063, 950783, 746492, 616342, 461287, 404747, 407162, 262662, 153106, 937620, 714448, 489029, 26510, 14891, 862755, 167647, 691200, 164290, 243869, 169037, 507728, 9451, 304875, 590861, 646624, 56902, 683411, 404701, 556958, 163750, 448587, 151489, 895260, 611580, 325040, 495948, 930184, 261278, 21929, 860894, 528311, 784466, 940012, 519624, 617056, 790168, 135216, 413662, 952546, 326495, 372639, 257664, 84440, 548972, 589760, 713359, 594175, 533345, 484073, 922657, 334501, 405463, 861500, 585735, 774119, 141005, 869580, 43215, 369913, 928530, 64393, 956969, 2834, 794829, 553483, 510318, 127637, 682493, 977230, 260866, 755863, 390297, 506132, 957797, 523983, 606715, 666487, 255267, 296195, 101934, 765730, 395878, 750456, 406438, 885067, 190731, 959419, 740407, 888100, 38063, 487860, 87445, 316177, 288387, 987268, 211505, 671509, 804395, 687156, 595590, 56324, 295517, 821806, 530782, 522738, 218106, 878355, 627458, 420665, 32216, 370915, 960276, 78804, 670198, 667957, 33117, 77130, 604813, 989112, 417912, 151814, 243606, 283146, 847501, 164025, 917740, 126192, 969580, 325871, 892006, 362948, 666181, 649420, 465184, 768192, 464219, 784711, 516454, 507836, 497267, 989970, 727914, 493248, 840657, 392913, 950769, 39466, 120062, 398726, 739598, 551538, 486079, 981111, 188059, 619295, 562780, 475419, 805125, 440909, 13387, 57051, 656182, 24854, 39897, 164932, 436002, 733232, 335123, 204624, 403365, 953076, 453290, 455740, 685787, 463249, 222492, 600536, 961647, 548918, 413910, 291875, 589067, 362097, 225030, 394941, 177540, 405573, 921335, 94784, 586112, 857881, 977856, 166322, 977727, 531572, 482570, 592420, 414931, 79075, 160095, 125432, 537224, 571919, 684554, 17540, 353405, 861136, 829684, 680936, 915915, 188899, 576565, 1608, 239783, 283662, 836243, 193241, 829488, 944668, 281699, 486815, 248610, 402336, 533906, 821962, 201783, 3241, 149623, 426607, 156645, 755436, 242328, 39834, 379818, 948505, 809834, 633603, 26497, 613643, 211735, 731996, 77980, 550904, 818264, 705176, 480191, 518477, 454767, 911291, 429475, 982691, 551458, 140552, 29195, 750033, 58781, 923159, 417708, 732342, 676905, 269423, 658969, 913516, 945104, 106867, 478830, 944297, 899208, 55143, 332375, 297152, 383554, 645316, 784174, 191264, 824994, 880554, 769529, 105254, 407171, 629725, 625107, 854630, 424214, 417312, 572871, 533707, 290692, 870173, 886872, 69998, 642726, 341480, 9867, 881430, 622855, 940035, 18776, 605778, 336528, 264801, 265471, 363045, 780138, 863983, 700965, 737127, 821284, 657244, 719565, 324457, 713978, 472844, 371979, 247251, 293847, 476012, 677180, 799873, 406614, 778720, 672804, 600356, 756975, 231808, 680736, 159123, 303895, 426981, 710436, 295060, 234878, 335120, 398449, 755085, 743014, 206827, 259903, 733080, 722094, 852804, 633354, 863478, 8313, 142996, 73616, 511712, 439524, 976316, 702695, 426745, 636021, 776895, 442395, 205259, 196113, 360590, 982601, 335154, 302291, 676478, 774558, 886251, 864847, 543201, 916751, 745003, 382784, 695391, 75440, 449100, 37611, 110844, 540487, 127305, 963343, 3858, 695396, 407073, 653830, 440559, 897270, 511568, 906552, 782125, 390303, 11127, 526098, 687885, 592333, 12326, 913046, 107984, 303336, 810166, 613699, 262538, 175360, 88899, 116503, 449977, 754999, 457357, 187363, 140541, 292150, 282055, 255579, 54976, 397085, 360834, 867970, 969425, 152874, 664206, 20445, 120995, 965064, 159449, 332826, 764387, 714088, 237058, 590659, 813428, 389470, 920117, 299041, 484569, 665379, 111987, 828686, 887913, 24277, 425053, 712678, 701798, 664833, 344094, 126887, 618958, 842491, 185562, 546499, 414683, 767957, 172236, 817593, 538462, 940197, 825567, 811165, 792346, 365630, 955451, 291314, 787118, 53203, 842041, 136261, 744504, 109397, 28038, 936040, 375640, 227267, 57849, 283743, 766044, 747198, 621511, 828486, 912378, 745133, 253576, 877713, 268079, 503677, 105202, 980282, 20803, 683973, 775260, 399471, 240092, 345817, 319257, 575093, 564180, 634910, 826107, 423093, 651093, 108498, 938334, 659453, 47945, 103999, 241568, 852454, 739317, 790945, 713801, 177449, 589330, 627171, 92298, 307268, 186000, 849213, 772565, 59045, 329717, 597146, 69429, 558831, 543163, 43384, 67053, 584947, 530009, 979034, 650054, 30670, 827490, 16283, 878594, 5391, 50316, 788724, 200125, 197653, 775702, 939332, 18398, 497627, 578568, 313187, 140761, 936779, 869145, 634332, 818696, 731073, 40245, 834089, 136486, 709423, 651081, 616016, 883583, 928612, 668225, 301202, 228793, 526306, 192005, 989141, 847205, 324487, 322046, 24697, 389993, 68755, 4336, 482896, 146408, 183827, 67675, 570973, 606905, 879918, 353429, 154462, 198711, 447374, 339011, 116529, 363898, 502358, 613117, 603822, 221795, 653510, 1920, 724294, 342485, 345165, 551145, 478473, 310733, 926910, 201685, 589786, 352426, 24169, 934239, 700233, 529502, 117063, 55663, 135624, 704771, 452360, 616978, 344517, 62445, 909280, 404758, 346151, 390755, 406869, 572396, 352031, 443856, 888896, 712802, 703419, 271593, 571142, 729636, 363393, 102242, 2902, 624848, 964386, 409260, 743163, 151524, 771063, 731, 309954, 744683, 826789, 406589, 713953, 215061, 20818, 582373, 167768, 606403, 896248, 406952, 353227, 731428, 522485, 210324, 870254, 644647, 782219, 895605, 628221, 942570, 75157, 761613, 363191, 323240, 525506, 381357, 675893, 527531, 960516, 141689, 765891, 934696, 886166, 970653, 807322, 532765, 743130, 801918, 276181, 659908, 648908, 709114, 519581, 406254, 556941, 73097, 277684, 607832, 863925, 231383, 604964, 361658, 634686, 330555, 671435, 357574, 201811, 208147, 525340, 673499, 178899, 931304, 452290, 436003, 284940, 661296, 101428, 939161, 259666, 816952, 748855, 235946, 970178, 322404, 577189, 752733, 978088, 711880, 557978, 258568, 633944, 54647, 572339, 689623, 455880, 953369, 39813, 62617, 863004, 818187, 6962, 285076, 105407, 371565, 839812, 713962, 439185, 781253, 481436, 453037, 933610, 917171, 132722, 839823, 843797, 884122, 278005, 740774, 710644, 602766, 449752, 629139, 618586, 588398, 599584, 893674, 765091, 585311, 696272, 798643, 607975, 35460, 632880, 961780, 801924, 289675, 867652, 219850, 822085, 932890, 775147, 713234, 693596, 656246, 403618, 800032, 887105, 490378, 350728, 170479, 329161, 696876, 698365, 456171, 764668, 865957, 659499, 764675, 933069, 107380, 612503, 776716, 37763, 107019, 505359, 529436, 559280, 426509, 890701, 278206, 566737, 47652, 470286, 904566, 357134, 820883, 104078, 165487, 479154, 317150, 620955, 418074, 961941, 187116, 796355, 827436, 91243, 515547, 12611, 594009, 354980, 953413, 985986, 234555, 704631, 300365, 600346, 597550, 783417, 572894, 784019, 336258, 26839, 979758, 784787, 142111, 684523, 301938, 321870, 713028, 688418, 135263, 557348, 248665, 452212, 637390, 457835, 679596, 781430, 510773, 534618, 571168, 903353, 821386, 133969, 721472, 952844, 530302, 29552, 583156, 936102, 834746, 413295, 461013, 674513, 509837, 635266, 469657, 564939, 654242, 444083, 515317, 392554, 718379, 847355, 461464, 623286, 417051, 565200, 330492, 393606, 386999, 597144, 942065, 631802, 538721, 861990, 485403, 363946, 411456, 128916, 813648, 560401, 856802, 970882, 423079, 711960, 778493, 187490, 49854, 589782, 378529, 703369, 100056, 562690, 777359, 606389, 185204, 896539, 951988, 249351, 193971, 208373, 949880, 709512, 16903, 481133, 280661, 691033, 377651, 610654, 817470, 570388, 974230, 216748, 858126, 191783, 604532, 584794, 824165, 586095, 454828, 251960, 412205, 349447, 713212, 280351, 564796, 681119, 440243, 133243, 159985, 585949, 719414, 811790, 555880, 149184, 47195, 270324, 170114, 859150, 377528, 339753, 455306, 207537, 769925, 956319, 703632, 804844, 513602, 942842, 712811, 653717, 166806, 237266, 53301, 784805, 756093, 751648, 302781, 571425, 947864, 827782, 638239, 945159, 494610, 349045, 274544, 452044, 661201 ]
990,092
[ 485944, 767220, 139681, 917721, 845254, 153500, 315545, 544131, 229953, 66372, 18102, 44234, 815832, 516693, 502805, 52571, 243507, 698930, 505977, 127883, 96498, 778063, 775859, 271694, 499660, 923295, 238414, 927584, 434255, 491073, 822232, 948610, 800046, 715219, 542020, 364500, 672997, 130002, 406067, 989716, 688322, 972418, 915280, 138738, 950253, 73637, 724411, 563291, 609886, 163938, 791983, 707541, 885295, 762166, 786688, 582279, 952559, 898954, 886569, 292697, 616953, 607220, 912051, 697505, 524019, 526185, 931818, 337474, 826660, 772719, 212298, 644222, 803258, 614520, 488812, 395804, 262643, 558047, 963392, 461118, 498393, 889137, 839338, 239688, 328959, 118504, 725135, 705188, 20877, 980259, 897964, 135422, 658054, 160424, 125819, 128885, 806685, 772569, 352216, 348057, 424892, 260488, 838463, 950053, 502682, 317790, 970864, 98301, 695799, 978345, 670504, 873887, 940021, 741070, 893238, 763679, 321242, 66281, 907818, 589946, 484906, 912524, 830757, 29094, 640748, 633301, 70165, 718094, 907322, 528639, 833298, 144292, 563992, 186071, 675976, 962682, 653446, 279550, 901743, 468655, 717982, 383210, 221574, 458555, 978838, 694155, 267958, 950199, 205685, 604181, 403368, 513762, 801843, 736712, 448894, 704589, 516275, 890386, 153451, 212554, 127200, 646082, 688381, 164486, 879096, 835534, 277423, 456865, 676278, 782138, 615012, 861561, 803396, 651302, 606521, 897071, 28231, 720729, 50622, 258861, 61311, 473860, 785969, 736676, 648684, 349148, 202089, 281590, 483309, 180380, 438918, 933081, 875308, 416564, 550653, 82775, 473584, 986082, 520639, 47797, 940006, 644939, 826769, 145998, 744856, 127255, 549130, 688831, 495800, 92732, 323562, 617085, 669118, 405779, 74503, 320573, 711814, 731412, 930943, 240536, 55685, 155845, 737593, 739223, 259508, 898425, 25335, 306844, 578929, 167992, 130117, 697559, 220022, 907303, 344480, 653912, 877302, 2117, 315861, 611859, 321672, 20546, 92480, 985267, 490149, 580686, 853738, 369023, 357830, 983124, 778221, 949678, 973219, 645435, 788906, 851664, 338187, 224809, 942691, 407712, 274426, 704513, 730217, 245644, 588697, 649808, 231162, 73851, 405476, 443741, 920997, 64961, 594480, 812750, 109771, 678289, 801665, 789411, 329949, 666209, 607523, 136292, 583937, 68108, 447577, 509914, 291451, 552107, 663662, 975843, 348515, 830795, 893011, 556704, 694610, 520152, 284989, 567457, 248537, 14481, 701758, 888850, 320484, 952265, 867609, 972936, 801799, 328649, 46889, 505732, 940447, 772181, 707037, 43560, 893234, 493651, 281884, 608163, 475781, 767292, 514318, 825977, 391960, 724632, 709526, 808230, 813637, 625716, 550747, 300509, 26237, 304465, 743728, 469448, 717384, 184542, 916693, 391458, 922382, 822854, 940244, 102262, 528115, 43183, 12302, 511480, 795456, 961114, 480857, 554904, 61150, 332499, 820652, 185607, 681718, 321030, 130860, 781613, 32274, 75767, 686457, 220357, 913222, 32889, 840891, 131531, 578537, 119982, 551310, 898305, 944625, 236849, 850055, 165602, 101583, 378396, 779893, 906898, 183032, 948638, 988357, 346286, 325052, 216904, 669114, 249619, 115481, 719867, 720427, 646076, 891024, 761648, 560968, 312130, 796506, 84932, 360328, 543099, 258769, 454403, 51777, 764592, 987067, 159218, 464514, 80459, 438868, 639914, 591085, 366744, 344188, 667465, 492057, 329734, 814756, 943357, 833665, 445538, 947744, 139581, 186015, 52789, 280037, 627637, 940088, 587660, 791583, 641167, 426722, 921044, 724513, 685789, 477825, 739380, 213238, 171219, 333596, 454752, 255493, 380140, 972628, 299500, 271377, 868044, 332122, 467565, 156093, 335030, 407989, 491716, 282239, 4768, 74588, 461386, 838981, 590694, 616950, 793912, 685790, 271130, 51393, 427963, 623469, 741835, 519551, 363999, 232620, 674541, 278552, 31945, 16085, 585564, 893994, 123625, 460985, 38733, 987104, 132085, 718013, 565829, 754927, 317432, 172076, 766326, 813254, 893527, 662734, 362485, 411639, 250488, 313872, 987330, 861992, 383025, 465567, 781638, 877561, 147930, 841336, 948862, 288858, 823887, 481938, 43001, 360635, 860165, 205004, 763123, 708572, 980957, 783597, 943980, 245668, 934571, 954304, 684688, 942829, 496850, 242971, 147731, 441726, 197365, 182201, 984017, 874156, 31247, 410105, 742620, 936994, 810397, 845284, 204337, 189446, 201697, 617920, 96424, 929595, 614201, 352481, 533257, 463360, 627278, 552004, 569196, 351732, 498325, 498814, 773981, 968225, 277856, 387613, 160028, 235627, 820832, 970313, 72985, 635219, 958721, 361057, 439819, 453958, 283842, 186747, 735635, 797270, 902967, 558435, 338753, 397635, 772486, 262219, 649387, 751830, 744907, 244355, 257175, 90966, 519824, 821051, 892267, 638857, 347847, 46355, 433766, 663858, 651861, 834690, 10842, 191185, 329963, 507853, 760029, 693150, 585873, 528857, 943425, 776, 835788, 962306, 177893, 38784, 840280, 136410, 957664, 10523, 97641, 160696, 781406, 131661, 344516, 830650, 604780, 670321, 523285, 103875, 233409, 855286, 763439, 193833, 53554, 659827, 415334, 55306, 655790, 184083, 969354, 363869, 893996, 767862, 418047, 82567, 628273, 426558, 243336, 316213, 500171, 320364, 191514, 908960, 914005, 868164, 480670, 851681, 907835, 653237, 801253, 206053, 228913, 263585, 103973, 281441, 593731, 333668, 578609, 178241, 145236, 46359, 941520, 900448, 416395, 10508, 927304, 465190, 267424, 74835, 866059, 541026, 115677, 879337, 849613, 572897, 215054, 588839, 758080, 39865, 906109, 460110, 650088, 97189, 693375, 161931, 730191, 245878, 957884, 501278, 889822, 771091, 872744, 842670, 426821, 374321, 165296, 182165, 436037, 594916, 590024, 966832, 828368, 459443, 212783, 617815, 872921, 625860, 910619, 633799, 119317, 272451, 362644, 835552, 343708, 834041, 770597, 502455, 968527, 983438, 864485, 712649, 446552, 318407, 640742, 526865, 204320, 968280, 599797, 638822, 978768, 625445, 768579, 839917, 745316, 684197, 147905, 364420, 316063, 200568, 907445, 36755, 963963, 869931, 935926, 944150, 69308, 302371, 319385, 642345, 731535, 624071, 960637, 332722, 513293, 812341, 858807, 113272, 315191, 547617, 336901, 247350, 501513, 681668, 660387, 370902, 801395, 912219, 260334, 187103, 226822, 965133, 750220, 364532, 824837, 462510, 495514, 534843, 757476, 531386, 160311, 851670, 34077, 352815, 482187, 239776, 508356, 939153, 948123, 546339, 298862, 561963, 582710, 2364, 950204, 110491, 715096, 799036, 431298, 433661, 709364, 921679, 744236, 145016, 715980, 141374, 124890, 625730, 292069, 29529, 753020, 887182, 39598, 812938, 261554, 412690, 254141, 381107, 731269, 140909, 551106, 617980, 193454, 840854, 521659, 420762, 594681, 733348, 833661, 189690, 538644, 788448, 641542, 474942, 765376, 9238, 664375, 499450, 763021, 26530, 359936, 308825, 482914, 960784, 164619, 257207, 902126, 656958, 815420, 989526, 879399, 976064, 407616, 158756, 723999, 52970, 420112, 441566, 757630, 324000, 204604, 192186, 828719, 928437, 11659, 375095, 453550, 300787, 450087, 519803, 515846, 606596, 577011, 743132, 693589, 786765, 31751, 697062, 616332, 854673, 941269, 256610, 860508, 948799, 463226, 231262, 204201, 38464, 353144, 785245, 533721, 892388, 782263, 77278, 937948, 599482, 957645, 751642, 828110, 214108, 665444, 315435, 457651, 300097, 209159, 393254, 34536, 95300, 144748, 210648, 124391, 487737, 978720, 885520, 60893, 471837, 603217, 577473, 977079, 19024, 852899, 832625, 354273, 237825, 360919, 102478, 128816, 878224, 295556, 874970, 551886, 791603, 910732, 40559, 280952, 332118, 198028, 390349, 171532, 870895, 478597, 435632, 433260, 617342, 727178, 978527, 525180, 210950, 498618, 664366, 282129, 68831, 522847, 666551, 262653, 31743, 525658, 326696, 25416, 29454, 820676, 477816, 765475, 654892, 148906, 408151, 89152, 914779, 231550, 515886, 497178, 758516, 34093, 374402, 691570, 732659, 70360, 796422, 239160, 614873, 657409, 286024, 847685, 44141, 684357, 647795, 889440, 368508, 587018, 927159, 602389, 861747, 411590, 674472, 317608, 397746, 459629, 971970, 373597, 119535, 144481, 327441, 463766, 243805, 892779 ]
990,093
[ 25767, 327013, 525718, 635159, 370367, 301916, 968662, 209001, 832836, 163294, 316686, 791743, 658987, 802036, 596257, 679198, 784498, 176848, 908689, 226124, 411145, 382473, 294539, 806592, 967740, 756418, 470821, 232798, 723949, 761528, 787941, 204577, 275752, 194091, 952091, 416118, 37520, 351337, 248254, 695560, 506309, 639986, 920872, 530369, 78287, 355678, 98460, 820359, 979977, 283985, 41289, 809647, 663766, 945942, 503234, 751734, 644246, 644569, 550323, 653229, 850645, 486240, 169041, 900875, 494685, 183281, 965855, 254565, 409812, 529904, 200659, 420895, 202718, 204951, 624858, 453096, 584226, 981227, 976584, 295810, 531352, 797661, 672873, 843888, 69916, 298860, 817759, 907312, 8620, 609311, 436494, 195173, 79715, 750755, 803038, 344231, 377901, 975898, 359413, 280901, 331995, 137545, 36725, 616946, 691041, 418451, 763262, 663680, 978697, 797350, 790323, 775959, 166506, 422962, 34285, 439349, 314926, 133623, 288118, 689520, 703302, 40497, 98335, 570654, 821427, 4301, 60125, 675309, 182451, 650864, 400866, 288746, 208447, 698008, 348012, 521079, 728032, 242409, 895645, 422326, 37387, 238217, 363373, 536829, 845296, 485230, 122355, 855147, 411232, 31318, 779763, 833404, 437032, 288173, 612360, 169743, 485603, 948017, 881132, 520049, 693507, 666407, 135519, 649977, 520875, 786895, 244287, 1528, 943581, 643550, 587591, 892093, 282797, 226538, 60097, 323034, 355784, 482112, 366375, 884673, 956270, 56492, 976435, 620871, 482936, 245469, 466223, 17967, 899756, 365589, 457581, 652067, 390928, 545209, 128691, 475050, 609617, 552032, 770735, 307735, 361206, 93910, 811586, 980838, 875565, 381682, 549647, 107186, 597244, 56421, 382900, 612342, 99056, 472558, 411596, 669292, 545536, 812248, 553498, 608406, 567667, 841523, 745871, 118574, 482725, 500203, 527132, 39573, 983424, 203734, 920659, 146006, 849230, 653117, 152986, 312224, 705684, 715840, 723348, 737879, 925880, 792591, 38152, 249398, 709293, 671252, 286026, 304652, 342125, 211630, 337566, 923206, 787581, 930696, 534723, 444472, 366633, 943409, 322368, 911046, 805950, 613656, 459101, 502878, 870161, 319111, 393323, 636474, 447263, 866063, 450061, 493354, 356162, 109888, 645788, 600679, 37605, 723420, 264402, 883351, 470499, 750160, 595441, 836421, 200229, 265959, 855228, 158837, 444036, 633811, 517940, 780538, 670614, 355211, 157444, 779261, 963872, 384514, 433625, 901522, 394452, 634472, 476622, 645349, 532979, 203282, 68927, 149855, 466816, 499839, 159851, 93586, 100905, 129947, 971619, 479597, 669352, 649518, 42063, 151776, 309739, 349462, 505847, 777985, 58855, 229244, 988499, 581434, 321389, 585025, 497229, 591411, 847609, 164473, 37278, 13679, 878727, 943964, 791986, 244221, 72415, 710688, 645398, 224991, 774570, 945716, 617010, 14976, 176794, 325944, 612737, 936752, 780431, 119809, 834940, 521685, 836414, 427937, 1133, 283286, 428598, 236106, 288011, 192156, 471136, 229428, 16661, 174564, 655302, 20204, 134521, 442467, 300450, 413721, 499657, 353821, 811916, 798844, 122128, 655815, 729000, 540494, 894721, 118302, 812988, 576076, 980977, 39005, 628393, 31502, 278543, 591349, 312607, 895464, 400764, 858738, 236854, 288911, 657185, 597865, 228328, 844502, 584680, 561871, 482416, 739434, 257794, 379128, 125837, 369274, 307131, 621938, 134396, 930505, 191072, 596367, 520459, 970227, 543939, 497382, 677412, 56539, 903721, 284667, 744748, 238326, 542900, 506686, 99756, 294743, 899198, 20132, 456386, 598677, 962122, 176029, 734148, 489637, 735741, 137424, 79260, 443037, 610155, 259581, 382288, 387341, 927813, 384605, 895413, 256730, 557143, 382195, 322633, 14362, 948876, 293453, 92728, 238283, 560942, 893293, 967731, 989728, 368335, 43834, 83515, 634865, 475524, 181717, 977833, 914544, 721119, 248102, 512374, 476890, 924588, 834200, 677202, 376871, 61421, 764156, 716236, 187371, 532783, 553655, 727049, 103830, 514562, 220536, 574184, 570989, 366763, 647695, 305225, 964483, 254413, 324006, 984052, 892260, 909576, 399604, 247660, 763962, 826074, 532162, 972217, 189877, 392779, 756184, 256059, 322195, 792684, 949789, 945367, 396160, 522351, 418596, 159602, 302385, 331192, 101895, 109570, 777477, 572214, 644571, 138255, 934200, 448554, 556991, 14698, 460978, 107256, 948632, 842730, 988875, 824581, 784370, 696124, 110326, 309318, 878622, 323624, 917356, 276646, 110905, 468712, 771900, 226188, 545749, 818788, 195248, 510156, 712722, 538323, 417281, 842093, 818659, 363523, 649011, 885799, 939260, 416145, 918866, 331969, 11884, 215490, 36303, 161648, 295061, 687435, 281913, 153271, 505630, 155776, 39200, 448855, 406622, 814751, 614418, 20200, 19482, 674033, 479290, 779321, 916847, 606770, 874844, 326583, 589244, 518719, 676270, 654628, 31984, 725330, 170508, 948605, 600275, 811277, 568709, 719363, 284551, 900437, 531046, 511057, 189760, 402071, 651171, 548861, 193459, 264823, 283025, 434238, 886492, 975817, 557001, 548733, 672925, 590802, 734424, 770432, 945966, 37792, 846103, 814128, 30956, 630956, 850568, 749501, 240464, 441083, 788823, 663120, 550490, 47505, 175254, 815008, 728225, 845581, 336110, 305104, 925872, 128339, 472980, 780061, 889609, 664020, 578651, 478815, 543100, 918569, 89587, 610111, 187923, 258677, 65910, 749968, 186446, 127672, 114306, 788700, 75605, 236246, 445719, 140672, 226025, 180673, 843320, 557869, 485088, 171712, 463516, 487407, 920939, 568413, 547068, 646002, 798363, 884365, 653854, 868249, 687166, 604088, 81870, 400907, 53388, 707959, 20697, 632668, 801227, 293928, 599595, 974962, 190730, 887518, 327493, 251992, 768670, 323503, 595991, 660037, 469114, 348935, 394408, 36273, 271775, 927993, 783730, 637847, 919670, 406804, 109230, 212358, 433711, 6254, 938920, 292334, 321176, 563459, 510033, 730499, 804754, 350994, 616403, 302097, 103092, 530591, 114849, 941803, 301925, 30699, 592667, 817286, 113251, 388593, 983970, 388379, 989584, 944771, 162315, 86178, 979207, 832079, 408415, 505140, 633862, 361745, 489618, 695131, 37045, 705231, 706742, 391830, 956533, 355081, 667277, 23628, 258945, 762051, 685934, 340676, 987547, 558759, 99980, 799808, 561498, 167495, 505044, 970442, 493302, 234242, 419406, 622477, 713808, 820706, 480547, 202088, 673087, 896659, 849258, 922072, 227885, 337171, 487549, 972482, 141335, 811554, 319748, 387271, 414257, 823860, 704694, 821050, 5361, 881978, 397734, 962781, 939198, 565397, 578239, 623808, 582211, 230381, 106057, 883623, 584194, 925814, 21738, 629809, 251422, 151627, 741593, 572164, 986288, 759087, 83222, 586267, 485186, 397647, 152818, 712127, 532521, 447860, 691368, 939218, 124915, 285374, 958628, 45522, 471525, 504211, 411814, 708399, 353008, 846551, 254912, 146699, 813707, 73811, 194165, 219482, 614421, 53761, 800357, 865826, 320389, 266418, 656906, 536209, 887566, 531725, 188329, 587325, 379801, 84561, 958246, 30162, 70988, 552185, 763170, 363772, 648355, 745626, 771136, 689343, 790793, 875055, 442008, 503734, 471158, 896904, 943668, 261099, 350915, 331516, 856366, 758792, 988532, 347525, 287545, 710261, 558501, 8214, 940822, 985062, 557512, 469160, 854821, 585681, 16201, 638892, 169020, 447261, 475669, 106658, 217465, 339148, 132986, 42165, 113443, 479483, 45581, 810676, 113608, 239020, 471950, 853619, 680180, 2470, 711554, 671445, 864062, 329467, 600790, 254788, 235249, 409628, 29858, 287136, 573442, 590081, 371451, 9625, 570436, 241069, 950003, 932571, 859243, 561786, 191951, 9321, 234796, 548088, 50160, 576315, 902285, 10875, 695337, 37450, 222817, 480463, 431606, 411349, 977180, 701229, 553321, 530199, 452866, 586577, 618286, 392995, 702826, 665584, 11295, 728865, 574675, 725120, 218055, 498874, 8616, 241845, 777253, 196146, 653851, 877373, 384008, 559838, 338816, 705576, 894701, 453562, 599791, 913232, 977282, 408981, 302547, 786829, 634285, 374097, 139018, 971553, 129759, 739654, 185789, 287532, 707909, 495544, 333233, 601742, 78688, 754272, 983721, 697850, 430333, 130680, 58045, 583052, 929845, 564868, 705334, 218688, 425726 ]
990,094
[ 800416, 487569, 692055, 669100, 963353, 166921, 438839, 772404, 958588, 118527, 546336, 82872, 128912, 844292, 288052, 728031, 903533, 648478, 469507, 265060, 135653, 461315, 680569, 695507, 212389, 172945, 123845, 532986, 92261, 566224, 178897, 345596, 782294, 71154, 761061, 822611, 852184, 185055, 451834, 858926, 295589, 159848, 933875, 954070, 12157, 19613, 455675, 973176, 531779, 302844, 831720, 189731, 69592, 217666, 325099, 983008, 165493, 723965, 189329, 366839, 693379, 404281, 564391, 180179, 130070, 262790, 494601, 121100, 275657, 905703, 747993, 836842, 186282, 397880, 343512, 246385, 641373, 976326, 360975, 327141, 541343, 36788, 809943, 373249, 961402, 511181, 353605, 960048, 31722, 428171, 821367, 989012, 647687, 61576, 777214, 413484, 63867, 115314, 396107, 574163, 987265, 848155, 702184, 466581, 654428, 904347, 897650, 112719, 503889, 587910, 968759, 339160, 77921, 437323, 740301, 551029, 144686, 157850, 10392, 869891, 589004, 483244, 842865, 256946, 427090, 833619, 144639, 541354, 882092, 467317, 511067, 531581, 855348, 629638, 311679, 760136, 498105, 6875, 391617, 55651, 459750, 921158, 131931, 840331, 375996, 587429, 684866, 242942, 389387, 597056, 171845, 832701, 798820, 60249, 592404, 758412, 246031, 800585, 554039, 693092, 867698, 973679, 409116, 332590, 160842, 905657, 145947, 216534, 792600, 59009, 414301, 435484, 488583, 805396, 222467, 641259, 370259, 27216, 191773, 563842, 706267, 448265, 88173, 891863, 925547, 810349, 205749, 820117, 909139, 367618, 731100, 661400, 559530, 307749, 319059, 287234, 890305, 603168, 319894, 878050, 243493, 76905, 669487, 709334, 509855, 147401, 587931, 709078, 668495, 515208, 113756, 892287, 141417, 874445, 612916, 976016, 956254, 644644, 680051, 291925, 661119, 300322, 815075, 671875, 507655, 171361, 256413, 646710, 179652, 11764, 462393, 378256, 46910, 595388, 421057, 826084, 775163, 792534, 445180, 364251, 57681, 987578, 929233, 656430, 612696, 227752, 675987, 459284, 60158, 369386, 162492, 285490, 666122, 343338, 251572, 439558, 57733, 486784, 730882, 926467, 89084, 958569, 94696, 594640, 118972, 783855, 681777, 572376, 244496, 36700, 43827, 492283, 507314, 988074, 218599, 865071, 289907, 740558, 259632, 147609, 319889, 348711, 121682, 698681, 582381, 415963, 604191, 984025, 62243, 208856, 4409, 402321, 584892, 380606, 212408, 168890, 874639, 586552, 902373, 502108, 533592, 370034, 117360, 976977, 217513, 305204, 480409, 941202, 480057, 336266, 463583, 351085, 872755, 796118, 156523, 519645, 988374, 831378, 239667, 593953, 556728, 201581, 650116, 594065, 520655, 147538, 670081, 817745, 700946, 865443, 369624, 353394, 413541, 694456, 338468, 553999, 824715, 914819, 230122, 313903, 435118, 801045, 582846, 538143, 945242, 47405, 797630, 934453, 745391, 148538, 381075, 670960, 346707, 54393, 696784, 971154, 563802, 276468, 826542, 442106, 95752, 615699, 611918, 345206, 451169, 503733, 400385, 906007, 568533, 81280, 835621, 24127, 364825, 757297, 189682, 184477, 941679, 802686, 244160, 574771, 153928, 971785, 212928, 639498, 254643, 258031, 528579, 835860, 93842, 923050, 339054, 266316, 803154, 719783, 455336, 484352, 680357, 753793, 238341, 134955, 385309, 833227, 529713, 215873, 522029, 436011, 177075, 765344, 539809, 16393, 967319, 620846, 682938, 295068, 813038, 201996, 73583, 904757, 47502, 694448, 162472, 939554, 614179, 776129, 234998, 507846, 482811, 36053, 423979, 324712, 739538, 408588, 221299, 316586, 431178, 165960, 126196, 690923, 78077, 852677, 653529, 837025, 32662, 127968, 520810, 866436, 351983, 505748, 625897, 976625, 456141, 79329, 118499, 907165, 798386, 318816, 694078, 809729, 954591, 51708, 987990, 937226, 634554, 894182, 681023, 333171, 286931, 43200, 915, 773807, 520165, 358780, 102344, 36304, 224767, 268833, 706296, 325856, 934183, 496518, 874077, 533903, 895008, 434501, 336812, 396973, 315153, 118265, 721595, 229498, 959958, 436642, 911769, 721387, 738399, 177040, 770764, 927714, 850802, 493123, 751542, 495501, 979629, 560411, 514920, 505947, 480054, 778569, 19685, 620809, 336464, 167868, 807991, 129256, 980907, 702681, 974840, 800002, 849149, 835667, 243630, 69830, 946240, 257223, 44146, 821644, 426221, 41501, 824542, 836998, 930811, 294059, 759431, 920504, 496686, 926611, 979174, 430849, 369500, 449772, 277591, 209636, 604495, 88062, 590826, 45891, 928332, 30431, 975866, 617930, 428415, 965040, 935629, 858994, 975170, 198129, 625193, 394258, 417253, 571129, 324679, 888141, 264800, 696709, 823718, 210460, 461971, 43216, 171125, 453216, 457185, 302727, 433558, 274591, 192933, 569122, 608333, 543382, 503637, 313833, 915778, 371477, 383117, 295733, 836306, 403767, 973687, 587390, 780911, 557829, 448780, 579815, 655595, 920356, 296369, 442484, 17453, 141929, 58786, 720040, 846844, 539867, 967239, 627785, 496320, 669328, 855022, 939475, 892876, 456398, 109706, 734601, 699430, 586004, 855680, 564039, 948927, 551027, 840914, 571395, 263282, 501958, 788721, 367244, 485165, 706607, 843089, 394184, 25324, 718882, 762315, 140623, 568854, 540570, 10151, 591971, 881038, 322962, 878762, 344037, 302652, 347568, 198279, 28893, 744112, 210977, 810831, 347264, 149853, 278784, 197527, 293234, 484504, 938347, 181408, 864240, 565448, 466488, 778686, 401453, 523063, 840640, 968849, 839396, 76099, 317233, 569999, 591883, 76602, 493502, 445853, 458644, 955757, 978971, 787885, 545763, 524406, 632035, 542953, 884104, 607796, 67020, 552557, 678534, 120366, 395206, 9620, 513536, 944278, 669216, 187378, 146537, 864925, 915247, 861964, 726380, 369513, 545529, 355522, 83145, 139348, 344636, 980636, 608297, 594356, 712662, 903098, 450702, 234624, 901097, 222422, 1584, 60759, 599130, 540299, 727631, 367304, 933816, 44780, 167579, 80184, 79384, 369497, 82528, 817216, 534224, 908355, 964390, 317990, 236263, 935963, 149410, 79944, 63436, 348600, 515946, 302155, 623589, 288762, 165567, 154445, 726638, 817196, 962942, 474040, 353824, 238315, 925291, 387979, 370573, 11488, 374591, 611274, 777230, 358757, 315416, 409651, 35076, 635829, 210446, 556332, 319334, 516039, 929844, 664325, 799655, 757341, 282428, 104298, 209805, 478572, 595269, 962402, 920725, 701574, 433132, 137364, 334566, 189226, 635313, 701413, 696099, 836269, 779661, 108305, 660491, 15516, 552433, 22217, 833970, 63228, 659709, 827744, 526012, 471561, 369250, 138904, 49956, 891745, 59670, 269221, 805075, 87681, 690839, 364849, 854911, 325353, 401494, 463859, 269589, 955647, 30263, 30676, 504328, 679299, 544990, 40530, 354118, 86933, 343347, 600409, 217697, 989550, 949373, 508779, 407393, 361883, 986019, 273198, 520319, 221658, 266430, 271991, 501090, 440401, 353013, 687809, 808369, 706652, 392438, 362441, 436171, 683964, 600976, 820100, 13913, 12910, 58231, 536006, 682841, 230757, 107656, 456033, 771021, 860801, 573340, 786435, 176491, 499430, 507069, 501382, 344913, 165634, 96028, 978308, 967431, 967168, 777962, 719077, 481817, 580304, 232168, 940568, 979309, 356303, 958730, 900600, 655684, 97156, 17480, 630771, 987552, 600209, 454852, 211906, 379946, 59065, 983164, 155194, 955182, 178279, 537810, 254795, 851098, 727851, 793451, 873268, 493665, 220020, 300641, 46308, 493901, 793247, 42962, 633351, 217826, 287686, 220601, 180197, 768001, 661940, 692821, 398418, 395353, 232440, 852614, 411187, 138657, 443096, 214306, 643058, 485529, 459047, 636630, 608631, 669008, 263265, 807402, 877470, 152819, 242469, 189399, 780954, 881609, 297531, 13493, 741293, 185529, 786637, 947992, 381338, 392878, 939414, 416580, 872800, 174198, 410875, 985662, 187240, 798497, 107204, 6576, 690681, 237530, 329831, 721616, 460696, 558119, 302712, 647315, 599085, 267134, 602618, 204883, 449928, 933579, 634322, 840204, 298565, 726003, 838651, 305281, 435631, 964599, 68226, 117896, 618991, 846708, 178479, 650592, 517133, 366411, 58887, 66069, 270558, 260282, 388797, 656183, 488683, 379954, 382210, 423217, 102839, 431162, 869277, 580589, 101410, 117449, 590754, 56026 ]
990,095
[ 884384, 413748, 621441, 313437, 734520, 677934, 515815, 966665, 772964, 236855, 532777, 529934, 603335, 86472, 723877, 144860, 762839, 798374, 466269, 282042, 878983, 515114, 709793, 835605, 553549, 166639, 181215, 204156, 756433, 705828, 20772, 606456, 615652, 836661, 708843, 801736, 568377, 510487, 700028, 399411, 318276, 160119, 706806, 821475, 754880, 188460, 32858, 896656, 235442, 537765, 29125, 345646, 381864, 572272, 825425, 553504, 312235, 303827, 406280, 904794, 777582, 584528, 182590, 713995, 523548, 785308, 906105, 374286, 263042, 119428, 320947, 909020, 904253, 378802, 328864, 151308, 734447, 282649, 781634, 858958, 466395, 373161, 654581, 582322, 691387, 22445, 909238, 579692, 902215, 486258, 298205, 701481, 202777, 800596, 835680, 120332, 43974, 869380, 287693, 277421, 111047, 832541, 789988, 237923, 395236, 973442, 518083, 403796, 96940, 290244, 913048, 626920, 23506, 721183, 559257, 869015, 304883, 595516, 698119, 255785, 454819, 232755, 952528, 531906, 575278, 162786, 232776, 756820, 982410, 197520, 918331, 627432, 200286, 362127, 442361, 142649, 472972, 762482, 228773, 84661, 699455, 392797, 586711, 177135, 501081, 100285, 888878, 873756, 959597, 165125, 263018, 705584, 42814, 871518, 206809, 834892, 873233, 566859, 369764, 210751, 590609, 212315, 689245, 329739, 988562, 771575, 201830, 471715, 204804, 303286, 795457, 618048, 469549, 879561, 644616, 912829, 415824, 756101, 267984, 587, 69104, 405969, 419621, 608945, 47256, 406885, 786100, 183944, 282931, 290849, 56517, 109273, 709180, 394465, 203815, 512697, 938183, 44612, 380077, 537607, 325071, 825582, 402854, 934949, 339072, 774334, 813073, 176920, 71467, 610284, 790337, 459079, 156387, 842038, 239708, 28126, 451405, 920243, 774975, 144209, 59182, 338789, 966178, 529986, 932597, 734289, 92990, 36482, 831659, 63331, 438938, 889073, 492710, 166894, 742626, 579708, 660043, 13708, 338362, 482728, 822674, 815143, 268398, 780556, 707985, 11145, 734958, 524713, 31041, 822463, 24099, 703859, 527658, 600621, 384943, 844011, 17826, 619309, 29795, 811806, 24607, 25584, 48253, 70562, 242509, 526256, 350033, 399057, 253427, 783500, 131242, 25205, 279166, 61829, 501986, 351224, 83353, 801178, 965201, 984557, 323190, 957157, 147877, 713, 922897, 482135, 521176, 873834, 88584, 555445, 382787, 632483, 257899, 502308, 103481, 454241, 940095, 104289, 254115, 898015, 255394, 285977, 728879, 514532, 700067, 792247, 249700, 984144, 850738, 868980, 108619, 549503, 739702, 653713, 275681, 395385, 33090, 200878, 131814, 6007, 515432, 361742, 807723, 545417, 517147, 611797, 779521, 333291, 605954, 666800, 644624, 735188, 498653, 38439, 760371, 167202, 967802, 668692, 272575, 371335, 105457, 63467, 750693, 208383, 838633, 951598, 710562, 916911, 19839, 485463, 792086, 259129, 981319, 477278, 369530, 142108, 735049, 143602, 78821, 827296, 26832, 677811, 410, 410588, 540679, 632011, 338804, 21338, 517295, 543098, 771586, 783993, 969192, 47415, 614412, 785163, 802107, 490488, 609924, 859776, 582906, 731015, 606415, 219887, 130584, 112668, 149484, 392950, 296542, 207411, 273103, 236507, 79529, 102621, 792246, 776109, 523718, 460701, 553749, 2552, 316228, 64853, 217649, 564081, 434063, 646268, 624030, 617642, 77310, 378537, 522436, 293092, 554136, 774790, 743979, 560566, 237667, 344462, 594765, 821876, 471585, 479663, 908380, 272470, 66740, 697078, 317322, 90022, 694349, 855367, 414483, 544321, 841289, 581436, 863298, 961166, 135558, 384499, 398969, 399941, 25893, 540578, 830622, 309420, 150210, 225394, 989522, 11515, 141913, 552096, 834209, 972541, 652912, 101329, 546156, 158952, 640495, 515640, 274944, 397545, 633229, 589627, 214368, 877743, 610149, 515268, 171710, 462955, 263695, 537210, 131813, 451428, 229912, 295250, 719157, 699792, 814511, 508639, 160808, 189896, 808588, 206293, 837289, 588888, 873194, 317338, 48178, 941062, 554869, 167257, 697009, 784951, 499676, 816132, 796858, 529935, 383354, 815630, 539031, 830389, 931829, 6402, 355185, 561817, 626913, 447144, 164612, 517986, 202920, 151980, 117977, 571717, 905981, 481567, 548514, 589331, 777182, 580469, 519680, 672333, 370782, 575513, 16713, 420504, 632366, 639045, 562376, 583834, 582924, 523449, 52821, 561802, 924308, 39665, 722308, 985813, 976571, 106839, 894597, 101729, 441689, 232920, 724352, 117568, 520662, 337881, 403582, 816309, 968060, 522417, 682377, 170847, 505643, 461255, 538510, 895875, 44299, 338681, 414079, 568691, 46275, 933163, 973616, 652993, 897392, 677235, 197712, 7590, 1595, 564020, 353856, 125750, 104097, 783588, 878210, 360857, 600442, 79731, 849869, 385500, 75321, 419644, 246750, 415834, 534653, 645249, 4057, 395666, 754735, 552468, 330182, 95744, 492870, 100743, 620852, 181029, 894208, 284689, 937422, 788656, 363643, 857572, 506186, 448283, 579153, 564955, 112247, 125350, 839324, 432160, 530203, 499858, 622249, 482640, 218832, 896028, 937039, 697552, 488746, 831860, 85022, 446464, 816758, 730523, 156521, 146780, 13835, 612602, 406234, 548355, 854379, 308453, 286629, 145496, 84339, 16445, 616139, 2036, 837825, 719408, 677432, 690904, 165904, 74907, 818325, 629184, 906862, 78260, 529515, 830921, 42641, 553119, 259067, 927107, 395269, 531485, 240879, 918001, 422943, 988410, 852993, 982641, 901146, 407014, 832930, 475395, 688821, 144448, 61029, 768316, 890059, 422681, 298141, 396978, 845681, 454485, 660046, 351814, 589971, 614042, 842643, 633053, 52996, 136152, 584684, 210734, 600613, 140038, 905450, 298203, 679757, 481507, 764087, 940104, 482939, 414797, 854636, 683060, 537786, 302605, 384757, 766086, 713022, 248218, 323009, 702192, 338906, 244263, 317839, 173862, 320104, 72786, 519750, 71502, 91763, 435056, 176729, 784611, 254387, 515304, 476210, 329090, 79601, 175776, 814580, 167335, 216106, 796136, 666112, 725218, 621683, 729539, 102992, 588212, 773542, 610970, 652320, 208978, 364378, 100476, 859948, 690222, 630006, 811830, 386327, 605662, 24178, 187528, 677680, 619240, 504353, 37796, 695859, 598138, 17690, 785005, 884243, 556065, 341293, 48153, 127881, 113083, 122024, 583578, 426047, 214592, 796349, 36882, 443627, 372845, 907299, 942563, 44826, 677558, 407343, 665571, 937102, 270775, 371688, 716346, 225997, 297935, 356563, 597616, 595678, 151172, 859815, 195883, 47751, 678529, 367563, 130052, 420566, 398773, 769771, 99551, 473128, 796871, 211386, 137658, 207257, 733716, 913028, 508232, 642925, 405491, 232636, 905126, 552347, 265150, 914893, 967675, 863861, 434148, 218080, 9067, 734094, 688273, 683313, 314488, 962104, 659926, 340203, 295595, 933790, 422534, 83543, 885711, 281343, 289865, 150321, 943388, 343829, 279301, 671753, 698915, 855707, 268746, 983068, 627337, 576005, 899363, 933602, 768497, 554225, 535315, 727951, 404641, 177239, 34918, 93518, 798436, 774917, 480595, 883248, 227691, 659824, 825177, 437290, 195759, 280199, 422318, 556495, 161786, 17396, 100132, 924223, 52691, 828750, 448604, 39092, 227701, 45968, 896268, 501169, 251573, 185473, 620385, 266266, 752903, 972030, 131788, 620294, 547912, 391614, 360050, 593133, 426697, 34106, 48780, 163518, 658569, 152583, 430498, 349608, 194280, 968600, 760954, 384234, 47254, 428697, 981626, 903050, 332304, 302422, 743641, 695142, 543787, 303536, 698324, 710311, 722699, 560307, 835828, 472126, 444597, 962592, 136965, 573661, 129170, 529416, 314542, 803885, 306695, 742229, 318197, 399649, 672028, 468403, 225922, 490037, 466047, 908534, 402580, 530752, 157975, 903064, 38777, 112932, 361221, 173123, 55519, 759062, 687071, 3807, 876603, 454990, 502451, 639077, 818174, 965004, 688085, 457010, 314644, 659458, 229205, 430763, 915943, 120309, 487702, 375150, 631274, 624963, 574634, 560632, 237534, 308770, 417514, 87633, 481711, 146809, 722745, 5874, 76939, 805139, 35191, 331695, 1167, 453054, 919037, 911008, 102104, 946405, 117254, 988844, 581594, 632637, 896191, 862801, 58720, 236927, 307399, 841984, 660593, 408228, 347091, 86979, 866082, 124368, 46274 ]
990,096
[ 342837, 926653, 467020, 126105, 575320, 765711, 399319, 887920, 869089, 16064, 765401, 277230, 473332, 737441, 431782, 21603, 870843, 591625, 708027, 196181, 315213, 707076, 9681, 286425, 984070, 751122, 708602, 915898, 190246, 518134, 972041, 357724, 242510, 630589, 248021, 409114, 957834, 411897, 736042, 964733, 487446, 325223, 548810, 697689, 421484, 827328, 391248, 721590, 201725, 590201, 183023, 969343, 156518, 228555, 439890, 145927, 536218, 33426, 749334, 817164, 961579, 466914, 192509, 371974, 940324, 295025, 866976, 29120, 160323, 149667, 255820, 805957, 120513, 44363, 165135, 192058, 1277, 151195, 294006, 30261, 423125, 386564, 522626, 827655, 439010, 238028, 850696, 760661, 297040, 908706, 843493, 366969, 56981, 635916, 458481, 921907, 812652, 1816, 19869, 903699, 64547, 769483, 973387, 462020, 121260, 673272, 90927, 319566, 210685, 290094, 621343, 959233, 86075, 125067, 15323, 465049, 632040, 782674, 554299, 446172, 928930, 746853, 395893, 978820, 827132, 547263, 45758, 295418, 880268, 687574, 876129, 886024, 365953, 824483, 944876, 658095, 600575, 646767, 248155, 470443, 141129, 22119, 349029, 169381, 725395, 9815, 854517, 589828, 843485, 91395, 369879, 974601, 965379, 128450, 45926, 794405, 716251, 160193, 668266, 872167, 743193, 336116, 730205, 377011, 873680, 402778, 414300, 159410, 282863, 441728, 15871, 170595, 787111, 804060, 38160, 769484, 874118, 814257, 704182, 771547, 504332, 460508, 428411, 123657, 976718, 418942, 937895, 392004, 70033, 837299, 204998, 276698, 139328, 24356, 418734, 715881, 9675, 631906, 349150, 985026, 339615, 585246, 951448, 220064, 10394, 426025, 172089, 746208, 192284, 231431, 259866, 169659, 335294, 546256, 336192, 270386, 558033, 810655, 716002, 90585, 221039, 706511, 335975, 505755, 918534, 101519, 315922, 637510, 646568, 447822, 145883, 604409, 488840, 486983, 777506, 551108, 518057, 488635, 899109, 448162, 112557, 283075, 574932, 210129, 63618, 865497, 5211, 592921, 617632, 942549, 376778, 295231, 234376, 868223, 948949, 621958, 816374, 901500, 703114, 576933, 811383, 13449, 14287, 908943, 899850, 584065, 379693, 193197, 381915, 125667, 841711, 394591, 602097, 811789, 710839, 783314, 364691, 370199, 519200, 314917, 287867, 243682, 201162, 592838, 405344, 289272, 734330, 617117, 847410, 292674, 233342, 22296, 526000, 328970, 286213, 794329, 113231, 279148, 247934, 379207, 281348, 884271, 240361, 700722, 452847, 142747, 519482, 585557, 574016, 973785, 655788, 81935, 815822, 157062, 227409, 718619, 239414, 86561, 456722, 373255, 680818, 819861, 593438, 294791, 597613, 44621, 380968, 245061, 836143, 144785, 125197, 253526, 527890, 217091, 363097, 700144, 400091, 32950, 786023, 541491, 65236, 565331, 789888, 948934, 208149, 49200, 20699, 771654, 978973, 936633, 212737, 124413, 863972, 350191, 698405, 582752, 235763, 893537, 130589, 73379, 785885, 894597, 758058, 536706, 480367, 443762, 784644, 598941, 835058, 335814, 550658, 261829, 344813, 43126, 846506, 31610, 899487, 203195, 576102, 170250, 217585, 393137, 131937, 366442, 414027, 754266, 44224, 863912, 371031, 94460, 333824, 767045, 117116, 299988, 120199, 199495, 79063, 66623, 146111, 415265, 873580, 570622, 49576, 686267, 685654, 526304, 527795, 678126, 130620, 691872, 146627, 260368, 578299, 514554, 512774, 509512, 74813, 460946, 195699, 491801, 105214, 400636, 28422, 175814, 283573, 950712, 610795, 453771, 452433, 171483, 954599, 823953, 99516, 41410, 468787, 757408, 43229, 170029, 215728, 930889, 709031, 26415, 374147, 557515, 470299, 481747, 578384, 747631, 361917, 50241, 693907, 538905, 516299, 633225, 795523, 478312, 612078, 152280, 696667, 890884, 57830, 927921, 583124, 287091, 479997, 362009, 63156, 734696, 768388, 934040, 546936, 243121, 649110, 564337, 582806, 639890, 405251, 869161, 716751, 660474, 782809, 761890, 735555, 738960, 604587, 558216, 204882, 582419, 128834, 424267, 378563, 964171, 985162, 16782, 643013, 730935, 40847, 122237, 621046, 491405, 571322, 402125, 315064, 424005, 66811, 108108, 737998, 400352, 116188, 941954, 814608, 800441, 492096, 758042, 37280, 280220, 689103, 773862, 234759, 525357, 783949, 282063, 395997, 454025, 70099, 642657, 787045, 97930, 416814, 903489, 388468, 624174, 715460, 791129, 482563, 378025, 426198, 191506, 424526, 35779, 430544, 939841, 87398, 889248, 632859, 802622, 230281, 956160, 815429, 494507, 733731, 567544, 779837, 786120, 928694, 836434, 597584, 779446, 392839, 588997, 534692, 212344, 797801, 504325, 840848, 702954, 410135, 700889, 189189, 424956, 521339, 790975, 649652, 521539, 36317, 688227, 698802, 398368, 708741, 77758, 50990, 792724, 671067, 362813, 173881, 601096, 167772, 204846, 713089, 546510, 739007, 478594, 143146, 333639, 156336, 896895, 583075, 125548, 502076, 320432, 190035, 28828, 376286, 436908, 28738, 563285, 242357, 18814, 774247, 726938, 235332, 795422, 116811, 259967, 247384, 194241, 2286, 876423, 520058, 511161, 421073, 832437, 475211, 985241, 78037, 568110, 371525, 408587, 230233, 310870, 119444, 567329, 819214, 841793, 810429, 199676, 951459, 203634, 883864, 48043, 944691, 135073, 34604, 266458, 8128, 256741, 415835, 463029, 890375, 697285, 405514, 753069, 918447, 717318, 612389, 12973, 382752, 264893, 962785, 819513, 690007, 665587, 777320, 546801, 796536, 817432, 246390, 131895, 986107, 224157, 496577, 669800, 485434, 95278, 715377, 837445, 447192, 235532, 775208, 838802, 33613, 477902, 370419, 621879, 90238, 354391, 791273, 963225, 414808, 281816, 713949, 428473, 177602, 274603, 214988, 296867, 453915, 260720, 638991, 680301, 721905, 516179, 488256, 225655, 124939, 450841, 556598, 564663, 682490, 621056, 23827, 853576, 382151, 124840, 340353, 197378, 301885, 982502, 943170, 785682, 682087, 450059, 569611, 216743, 645963, 159669, 800374, 460736, 634050, 705592, 856988, 241283, 472154, 915807, 406488, 569232, 549610, 594565, 454608, 463344, 35955, 645706, 610184, 71796, 103494, 453045, 837476, 982449, 722691, 97524, 300177, 457064, 787517, 984426, 877254, 937265, 908105, 635893, 189031, 539988, 223159, 130557, 929220, 736201, 911588, 86348, 54950, 565699, 480518, 482092, 466709, 711122, 349623, 87270, 32628, 362915, 846002, 404874, 682039, 431637, 740597, 802254, 251324, 415443, 922058, 483927, 775500, 57371, 885186, 653725, 559944, 290389, 986984, 61834, 913134, 580472, 281397, 228927, 255792, 328463, 404171, 498087, 239929, 508938, 32974, 424914, 285703, 209939, 273607, 711972, 208807, 788888, 776183, 906176, 162716, 603283, 357087, 941068, 922679, 264452, 356874, 804454, 683168, 617009, 435431, 810775, 629753, 928755, 845780, 675136, 162433, 299398, 294872, 611113, 332854, 715240, 554435, 905059, 987013, 838819, 851134, 467840, 278257, 772960, 407954, 832297, 38946, 493050, 124819, 856100, 398085, 874262, 253151, 984899, 428576, 617194, 795375, 676597, 959633, 332393, 790512, 127250, 137561, 758183, 9760, 862756, 620105, 347652, 533438, 292679, 81509, 960034, 603761, 446785, 831083, 983490, 178715, 430836, 442105, 544936, 185823, 464559, 5812, 961239, 824224, 861395, 220757, 283616, 48068, 262802, 914970, 681594, 789679, 944698, 851448, 129978, 28390, 314543, 445591, 501757, 745801, 702194, 548038, 892957, 909256, 90683, 710303, 320265, 715982, 596201, 856731, 942571, 530611, 376427, 75183, 300430, 72861, 159398, 482826, 185909, 26142, 113370, 605083, 435405, 784673, 161563, 765440, 632846, 829139, 36850, 629984, 142073, 164329, 690909, 301794, 508046, 2371, 489326, 819802, 47609, 496576, 542549, 432774, 560526, 731675, 921888, 580484, 940598, 21132, 421306, 809640, 647844, 513341, 868800, 622557, 210840, 165379, 328485, 581259, 283549, 441623, 70037, 490522, 912478, 399207, 185700, 237015, 698797, 140923, 988819, 57585, 213828, 464844, 700063, 863048, 758661, 581347, 355499, 775585, 109147, 558500, 512173, 336618, 678042, 12650, 866136, 723787, 215541, 827289, 801487, 208593, 932318, 343408, 674657, 899974, 943291, 249939, 338248, 703570, 590774 ]
990,097
[ 633156, 768034, 28005, 537923, 970277, 452288, 132624, 127458, 412230, 689910, 161423, 576404, 291808, 257819, 304678, 807480, 756941, 821239, 480746, 849240, 282032, 700167, 176884, 278756, 785502, 163901, 306799, 91522, 977592, 577988, 593689, 778308, 779494, 45219, 717190, 538765, 595899, 25075, 476580, 7609, 123411, 860272, 338529, 232993, 352207, 727791, 717646, 299731, 341068, 65653, 339943, 168351, 752564, 339646, 437449, 591648, 529111, 300668, 604870, 757827, 55384, 337170, 896104, 761963, 265353, 222706, 790233, 966321, 986193, 822719, 596402, 651036, 389167, 84622, 905408, 551872, 887344, 237465, 297061, 343245, 294844, 782620, 27346, 289824, 444419, 625632, 952847, 649351, 985302, 111137, 574874, 716799, 603925, 521918, 633505, 609432, 162182, 246492, 34450, 402177, 217265, 814192, 367151, 138773, 567395, 1900, 248674, 833998, 699574, 953386, 548506, 691752, 246162, 669268, 465262, 885576, 261619, 188208, 761303, 389358, 647388, 907488, 916206, 936902, 267370, 220307, 761857, 789099, 791528, 433089, 659420, 389881, 464738, 12920, 721160, 560473, 311077, 340421, 332255, 124279, 243836, 153919, 477368, 955436, 381086, 435247, 154500, 123998, 589926, 422017, 299621, 649527, 382880, 878202, 297084, 84007, 245765, 52178, 105024, 101511, 813054, 467733, 469015, 417434, 793397, 769191, 466873, 827600, 148176, 569583, 707602, 505687, 58398, 695245, 921839, 362735, 941974, 471540, 609092, 768691, 691917, 565552, 650402, 261659, 197557, 354591, 547907, 421557, 554814, 635398, 163075, 971017, 935706, 154705, 836871, 96766, 392015, 92477, 360432, 381757, 201182, 770313, 438441, 575772, 427565, 386214, 58834, 144418, 244615, 982514, 432713, 547613, 95911, 250308, 46948, 467339, 313595, 684964, 183634, 594823, 421243, 278641, 366248, 95395, 674057, 535127, 246990, 437328, 698930, 645872, 585728, 54043, 933249, 956390, 779826, 208640, 315144, 775822, 73602, 989732, 223367, 668575, 914305, 720146, 559085, 329065, 136896, 362068, 36292, 560866, 146990, 577652, 292991, 550619, 301687, 228489, 368414, 590086, 681326, 6547, 709647, 74637, 963734, 958353, 75308, 935373, 498844, 351380, 109763, 950732, 153431, 726590, 118647, 225559, 758509, 717912, 832352, 840738, 371808, 596883, 176902, 378883, 378715, 61282, 580231, 489558, 850932, 284479, 382996, 258014, 66299, 242404, 121822, 265491, 174611, 62418, 302678, 400939, 855279, 897834, 434311, 555680, 155605, 153256, 303485, 765869, 562775, 63614, 162679, 286923, 282665, 487590, 273644, 986463, 25835, 639154, 849130, 331550, 261437, 176495, 703844, 651711, 229777, 804556, 988872, 948979, 566975, 485065, 440497, 475467, 986930, 871357, 342033, 925945, 592114, 401384, 678136, 588573, 889913, 563730, 555772, 804214, 250485, 583937, 746216, 341333, 202961, 17038, 482776, 166553, 949535, 655956, 832812, 127722, 22436, 974369, 868875, 826488, 123255, 737544, 774047, 315572, 392517, 735096, 418532, 463413, 552471, 704339, 153600, 183001, 202047, 613947, 831735, 915869, 579706, 80789, 539513, 639345, 286509, 450621, 841414, 801395, 175099, 366964, 637637, 984250, 344276, 363197, 563853, 377349, 776569, 967078, 884304, 631903, 701638, 305571, 224675, 833936, 701188, 414486, 733642, 483664, 164619, 699510, 720687, 544441, 418900, 451430, 271959, 669118, 48241, 148586, 726895, 549234, 288542, 835700, 660923, 541370, 232639, 970177, 480859, 390256, 160397, 286095, 931462, 891707, 229468, 954563, 799021, 898277, 513144, 827703, 728806, 290263, 303721, 524873, 781341, 898793, 484823, 669650, 247530, 318993, 130000, 560187, 14639, 535911, 330786, 446544, 308022, 131675, 602559, 350840, 151966, 34907, 177794, 269937, 162445, 137443, 553076, 726540, 721152, 109545, 901008, 388192, 808303, 879610, 663179, 852961, 494347, 945455, 797938, 204639, 322650, 823387, 839488, 93531, 971829, 405020, 328091, 590104, 773449, 516650, 900879, 901187, 304812, 574898, 167426, 934657, 144748, 157032, 779883, 830944, 605117, 570915, 37279, 683400, 291023, 943773, 586693, 206220, 799888, 561104, 590800, 544393, 898174, 178681, 739408, 68971, 866636, 134726, 583890, 873044, 625972, 653861, 121977, 570222, 450979, 619762, 684557, 789045, 973822, 153237, 15118, 336428, 936671, 480647, 452609, 219575, 471763, 168891, 151407, 689449, 152778, 721876, 912370, 510959, 788727, 835408, 262033, 155701, 643773, 64073, 785649, 400312, 363689, 403368, 341041, 770005, 831338, 451050, 27772, 112769, 38749, 9822, 396436, 878182, 320963, 722800, 396987, 322833, 788524, 389389, 665624, 441537, 708474, 493017, 923773, 16439, 526313, 819700, 70159, 823152, 603834, 940238, 338150, 780699, 125502, 41304, 945637, 125616, 125851, 287334, 898976, 132426, 119922, 323472, 265538, 759004, 783362, 574216, 231415, 751254, 225784, 354400, 521752, 792334, 665444, 704040, 810309, 518094, 842025, 272027, 456008, 698554, 474000, 100844, 799086, 122987, 615708, 384500, 273079, 665000, 41268, 114713, 257784, 538936, 539993, 898604, 935612, 78802, 152359, 955201, 753143, 815033, 763114, 410249, 449592, 884023, 50639, 346556, 756774, 938889, 492568, 813788, 260434, 797624, 4892, 75117, 912648, 156917, 370002, 628915, 192805, 371284, 973477, 798047, 18527, 483491, 188669, 938250, 530340, 167532, 154677, 434774, 578819, 406017, 835164, 285570, 959183, 642778, 785694, 989755, 272242, 680238, 34713, 353569, 48793, 824688, 428507, 305968, 687950, 572906, 916914, 912422, 150277, 26220, 460561, 930083, 534492, 531041, 178828, 310481, 734945, 483209, 77568, 341926, 20632, 529564, 845204, 973532, 577273, 81536, 915728, 634994, 246974, 334176, 19544, 115260, 924671, 118400, 838801, 282908, 847729, 200735, 155083, 539582, 843657, 866363, 294572, 58760, 289103, 907987, 625718, 60206, 185008, 252291, 900731, 650211, 713372, 755978, 681426, 303743, 205154, 36567, 341339, 791846, 52970, 32177, 401599, 770614, 446647, 406206, 143804, 55974, 120771, 806875, 713626, 641385, 197511, 985954, 932290, 73904, 49393, 502461, 1643, 261031, 560398, 388080, 356859, 394752, 695003, 567055, 683790, 968646, 228643, 529443, 199811, 221072, 66201, 897277, 608224, 316486, 677162, 330154, 456525, 493051, 448605, 875798, 667111, 368758, 240120, 206265, 98950, 962676, 332430, 800748, 381876, 764855, 227377, 762678, 623856, 626508, 174742, 519464, 837864, 126001, 883265, 34883, 8431, 530789, 805496, 562048, 859887, 665817, 973336, 879410, 38172, 352216, 104420, 309142, 874696, 553023, 493748, 12820, 172084, 795757, 607331, 772145, 486050, 776372, 885360, 274898, 179847, 510576, 452137, 292097, 853158, 107412, 606457, 529928, 252520, 676722, 394680, 758837, 461631, 454579, 698533, 686796, 856038, 408766, 657341, 882963, 700435, 226682, 744999, 282534, 936222, 986723, 217118, 460556, 262811, 137837, 227451, 43763, 757286, 943879, 715708, 736947, 205473, 463196, 577296, 264603, 306629, 870479, 727900, 21508, 139556, 983687, 281744, 552704, 498251, 661005, 196758, 65009, 519791, 269202, 624190, 905386, 465901, 640672, 939523, 655998, 245208, 439819, 26647, 154271, 390784, 524019, 737293, 518344, 511066, 184207, 486279, 250595, 292104, 897366, 168472, 435905, 539427, 34154, 55534, 530064, 126384, 936900, 190958, 694428, 931333, 647617, 564516, 200443, 815802, 79023, 688372, 925494, 647606, 805760, 125585, 366945, 716575, 984450, 114371, 906109, 105630, 211884, 43764, 693589, 394884, 970146, 608825, 36559, 526434, 770702, 688070, 158117, 278343, 724481, 407392, 433231, 890248, 826747, 564433, 896068, 105224, 741309, 131399, 315059, 224154, 812886, 779255, 940556, 918060, 933412, 714638, 929211, 206863, 486567, 830819, 225740, 732291, 859478, 46355, 366744, 483252, 768458, 286780, 465635, 545427, 866103, 521288, 89710, 320247, 286656, 251549, 48661, 422215, 122263, 640785, 753400, 870372, 822253, 40126, 348114, 275873, 79815, 775774, 550740, 560612, 26760, 965434, 335106, 989157, 336681, 852900, 477852, 645815, 358599, 812038, 416283, 9454, 212302, 629703, 415808, 432919, 881148, 135548, 261219, 438450, 769982, 220708, 890843 ]
990,098
[ 349905, 411902, 866507, 58123, 610225, 254915, 147663, 782698, 721448, 196653, 914525, 875215, 756387, 769055, 236699, 962491, 168964, 458014, 686588, 22919, 189582, 465237, 588163, 366380, 647212, 81346, 619126, 619871, 913554, 437861, 392374, 357000, 99459, 695967, 964256, 63377, 168475, 259991, 690925, 806556, 122375, 370260, 106411, 534145, 774044, 295433, 755480, 168515, 629556, 606202, 761785, 708477, 293291, 79588, 388780, 628398, 358213, 656651, 362480, 568656, 18650, 6074, 1081, 38387, 19800, 695714, 918435, 421339, 623410, 850502, 949802, 497806, 259570, 562754, 876850, 908088, 513609, 502780, 432504, 190283, 278412, 907910, 573758, 869467, 741215, 225342, 721156, 143617, 538290, 258539, 105874, 401969, 73929, 717727, 96836, 527190, 720680, 983290, 62093, 560364, 872540, 745378, 411149, 293966, 460814, 693651, 486237, 699868, 336145, 345927, 320304, 746935, 24324, 776026, 500903, 745141, 339747, 53533, 441040, 340553, 62375, 493177, 650080, 463334, 109211, 332411, 46497, 861422, 650291, 362199, 812881, 729067, 425023, 717608, 160157, 339273, 899130, 72776, 938811, 808226, 404405, 539882, 81994, 499883, 397113, 162269, 225642, 190861, 624996, 350797, 769285, 43251, 269735, 446825, 698757, 235417, 550072, 222934, 923297, 149112, 761891, 937743, 151274, 570413, 581264, 246109, 901406, 711395, 268043, 73398, 269246, 675143, 313605, 539423, 812968, 896323, 640313, 617886, 487891, 237848, 311968, 448165, 99995, 941927, 41665, 828676, 616838, 750393, 488757, 504898, 910209, 699855, 833238, 478946, 829008, 702265, 461057, 229406, 1423, 123990, 359776, 520163, 572772, 228313, 525786, 613076, 952971, 795142, 163165, 571489, 311343, 878860, 812873, 410034, 496694, 451709, 169982, 612903, 682272, 402367, 343048, 435476, 829184, 4486, 69205, 147101, 861856, 741038, 18351, 765995, 449992, 989577, 275602, 412027, 679986, 498367, 26002, 437902, 586505, 591020, 909519, 881215, 781089, 649031, 655629, 608403, 872733, 801527, 12762, 615593, 456441, 586294, 48676, 79958, 469295, 612509, 118379, 398976, 812961, 831864, 757344, 744191, 968274, 48359, 335117, 596311, 415702, 873025, 694076, 611989, 199182, 156528, 228504, 438163, 983893, 793129, 716857, 101404, 950911, 517105, 909794, 53548, 873203, 503319, 928918, 807151, 265343, 51464, 147510, 231056, 247854, 239426, 31523, 678624, 205804, 82881, 27128, 872702, 105880, 917996, 893897, 359881, 431850, 391414, 225607, 403120, 699357, 934823, 327802, 310570, 182392, 960859, 225788, 425390, 16352, 969981, 502287, 835029, 641777, 81220, 925126, 423040, 552774, 517610, 831701, 267844, 190024, 101784, 550499, 845605, 233398, 435617, 891506, 445852, 966671, 491689, 408809, 241591, 973884, 170548, 693139, 798051, 888754, 759874, 567709, 384941, 248567, 767009, 498115, 165477, 390164, 88163, 106394, 251358, 392849, 547973, 240887, 706991, 674959, 942025, 631498, 399472, 659353, 169527, 63103, 54937, 882381, 258260, 951555, 216600, 186739, 190943, 77303, 836234, 669036, 279317, 803365, 833033, 605141, 469438, 358742, 115630, 758802, 902353, 312297, 131687, 539447, 315960, 593322, 909773, 469373, 109969, 415792, 790186, 124562, 962749, 891516, 657624, 312830, 523887, 626324, 142393, 709738, 480309, 91795, 722875, 901490, 38491, 346596, 913297, 111973, 418621, 527083, 740153, 203396, 335333, 7541, 882458, 581769, 792970, 717136, 853588, 253552, 212541, 643647, 966783, 683462, 24271, 478994, 571562, 393011, 908320, 307363, 314106, 83782, 726422, 119154, 687169, 328710, 629028, 763030, 596971, 629379, 972258, 985405, 579875, 650285, 97715, 859795, 603105, 403264, 399171, 226701, 724534, 56267, 356193, 574821, 189839, 22496, 987072, 326158, 579115, 389502, 384122, 69608, 279341, 663184, 217360, 709734, 861717, 724985, 248460, 576126, 775990, 463042, 377717, 549312, 806663, 199872, 435655, 330721, 777614, 561246, 937127, 818077, 773493, 335415, 808279, 203895, 870916, 2987, 479717, 694370, 519401, 471665, 833418, 289460, 635230, 868299, 807914, 102150, 6545, 66868, 769838, 196896, 263523, 166706, 63709, 169786, 729231, 52231, 936145, 872327, 567977, 364470, 544586, 234738, 783366, 443823, 735885, 802698, 398823, 594290, 601266, 920214, 796661, 809919, 8006, 486747, 7226, 744724, 161102, 439840, 545022, 314112, 552268, 910515, 316841, 525412, 23510, 119565, 420753, 626487, 158782, 283492, 757375, 39526, 310173, 795729, 328492, 98948, 427944, 574982, 373270, 303435, 393316, 633070, 210689, 540151, 976830, 671022, 152416, 8890, 512849, 630233, 746514, 76532, 176234, 77191, 718740, 548926, 824102, 608212, 296858, 910760, 238197, 900661, 384012, 82769, 954466, 759373, 369455, 821938, 247322, 793900, 419281, 379224, 482294, 428564, 923765, 849012, 600602, 248734, 746728, 780652, 946197, 900399, 334067, 512273, 443266, 970065, 697515, 117455, 662774, 870704, 422307, 717686, 972068, 5257, 3062, 953289, 334803, 742042, 363880, 109941, 356957, 685161, 480018, 129353, 418432, 678496, 581735, 210816, 795397, 360709, 518743, 789639, 164126, 780348, 149824, 647441, 287702, 905718, 359343, 702775, 99445, 580226, 565546, 762944, 860533, 382063, 686419, 486698, 168841, 442464, 165978, 975336, 418075, 438386, 941291, 697774, 764634, 778727, 364012, 230054, 420860, 356765, 284888, 646568, 327760, 791776, 684175, 516509, 980637, 119856, 517350, 700045, 877568, 76721, 772621, 289365, 508713, 816331, 940608, 119302, 301791, 530964, 886716, 735393, 53613, 162646, 930646, 937177, 597358, 32045, 664951, 240711, 53944, 838308, 574724, 675219, 197356, 38326, 287327, 923605, 567860, 894028, 762520, 832999, 98339, 451586, 925812, 421485, 584619, 731797, 769312, 985589, 89504, 245211, 426357, 876814, 793300, 360915, 499646, 690587, 570571, 847385, 708639, 279389, 591760, 959307, 611904, 723036, 739652, 120120, 31312, 170463, 539467, 586928, 707049, 777946, 317221, 257611, 667097, 5900, 728843, 888777, 108791, 416421, 242302, 169192, 444700, 666944, 67750, 650456, 626447, 557674, 43690, 979480, 891999, 193117, 664894, 419605, 545065, 600034, 462381, 878993, 179458, 722782, 841198, 173959, 914948, 377366, 351891, 800000, 937714, 146327, 68852, 882198, 869026, 933025, 616364, 522986, 465588, 826806, 833265, 638744, 662336, 568747, 246533, 214194, 747832, 229986, 288228, 61874, 559450, 883076, 186871, 972818, 599081, 560937, 692677, 767407, 839474, 884720, 422600, 954443, 856503, 363565, 279672, 245683, 122323, 857989, 636671, 146739, 592223, 509458, 602668, 857663, 803292, 360222, 283760, 837559, 32101, 210320, 786583, 551076, 376373, 986073, 495786, 532378, 759447, 294987, 297514, 571215, 286816, 260628, 331494, 372199, 357405, 725479, 957116, 536038, 696092, 623412, 433372, 675247, 894957, 922429, 73725, 168579, 707653, 535145, 697219, 835835, 872462, 721788, 724220, 185430, 562582, 735958, 504701, 158961, 64636, 187787, 209898, 98639, 197910, 389973, 957478, 411498, 868759, 411065, 674022, 220628, 260085, 285212, 626462, 920818, 661926, 700142, 336156, 884715, 99495, 664745, 443208, 638674, 376383, 985400, 813878, 549217, 859061, 435756, 555363, 735364, 927320, 974547, 65274, 703330, 191884, 723474, 303285, 698078, 612695, 802202, 179361, 728263, 66312, 412682, 282777, 355179, 89006, 220577, 74731, 755691, 973432, 673461, 812006, 946823, 87772, 737645, 583713, 496764, 111494, 562500, 986132, 472287, 439622, 925606, 485898, 580489, 197631, 316258, 973664, 85837, 699551, 324416, 591502, 412241, 429903, 78058, 730092, 605044, 259792, 602056, 653119, 923603, 278860, 982461, 586395, 163530, 909445, 14792, 437501, 929128, 31232, 617764, 406934, 280529, 235267, 4302, 41350, 369622, 682549, 980391, 437974, 746875, 856253, 32739, 414062, 546451, 240722, 462915, 476746, 384152, 826839, 409135, 240280, 512037, 8460, 794108, 97537, 413920, 478179, 644625, 204641, 557685, 162105, 231039, 498139, 262860, 588087, 14133, 916935, 844824, 864022, 953502, 257836, 913095, 512727, 40690, 579195, 830490, 34161, 951898, 211904, 202646, 604098, 513474, 292357 ]
990,099
[ 421070, 910940, 351121, 244972, 360817, 986393, 933025, 797281, 908088, 424122, 975607, 803566, 225620, 344790, 326550, 3037, 103640, 501981, 303825, 836050, 646344, 537778, 675300, 836214, 978630, 894094, 964653, 474972, 375948, 722304, 850030, 815811, 368978, 285850, 959850, 751036, 771909, 188048, 369767, 939213, 273691, 456973, 980330, 310464, 613602, 709838, 674946, 603285, 839376, 635486, 657310, 407276, 157639, 591105, 45140, 693627, 2307, 330689, 224532, 607938, 1522, 611453, 257360, 511373, 922771, 343069, 827217, 162755, 642717, 908053, 523624, 989934, 414280, 596332, 854401, 5772, 417029, 953347, 656218, 135310, 519742, 808904, 701962, 372136, 217837, 489522, 445080, 376137, 964492, 811708, 363291, 530250, 679855, 18650, 695593, 319597, 404980, 368061, 147612, 312854, 639507, 341715, 681986, 84489, 514327, 905598, 558469, 838347, 334574, 431180, 353560, 457768, 852325, 341448, 579241, 24966, 487040, 228289, 469290, 169378, 535050, 147859, 729878, 588574, 56913, 262550, 525708, 209972, 218510, 745695, 971469, 393513, 958388, 695714, 259792, 627550, 724006, 878860, 386016, 1354, 612706, 291228, 515101, 270700, 757884, 739064, 853487, 636132, 573120, 635853, 376303, 425050, 124256, 908838, 415792, 537661, 914736, 583300, 170596, 518430, 830356, 114157, 693190, 24271, 346347, 657863, 711452, 269381, 413864, 550764, 293170, 743054, 311594, 960969, 534145, 6545, 220982, 326739, 610225, 48597, 70249, 160590, 230240, 441961, 819393, 184981, 605998, 520163, 514811, 764780, 888870, 416128, 19107, 380830, 254032, 50787, 469851, 549000, 653388, 284279, 862088, 190861, 206153, 270462, 569697, 609984, 220539, 334764, 605036, 10325, 184178, 70899, 319609, 63103, 527113, 964263, 847089, 612927, 843945, 147101, 231356, 718674, 338952, 604047, 974388, 983893, 295049, 42884, 241996, 791741, 467456, 171155, 25757, 224405, 268948, 34794, 498768, 95016, 460486, 249780, 782218, 785105, 794631, 892303, 34323, 420860, 283764, 49205, 337067, 528507, 806237, 734250, 420160, 968808, 93561, 615002, 74670, 629931, 116931, 906037, 606202, 393011, 557555, 691621, 168241, 472145, 886911, 327984, 454290, 94625, 329274, 851436, 560574, 877127, 356957, 180083, 81994, 213384, 354737, 160759, 366519, 162822, 77204, 937496, 1423, 191989, 542584, 769312, 184638, 870628, 973057, 249359, 974544, 116859, 470749, 745458, 952323, 226485, 755450, 662883, 698072, 609222, 541552, 103896, 746067, 444813, 803616, 85174, 574708, 798341, 81679, 74422, 209611, 898694, 72331, 367758, 689985, 942407, 202849, 335194, 187849, 419195, 263285, 844342, 613427, 987530, 737551, 194939, 980406, 944613, 534892, 137347, 600034, 522799, 331879, 71838, 188080, 334094, 545065, 475246, 983898, 200205, 982390, 77191, 727766, 119370, 832589, 358213, 522275, 364293, 712093, 372929, 253898, 7818, 906, 399311, 326465, 164374, 242715, 549150, 360915, 538983, 445178, 42486, 861568, 388630, 14113, 162652, 703828, 575581, 706241, 432386, 205452, 489902, 675841, 858091, 365102, 941965, 535330, 288545, 121736, 306637, 372753, 877673, 451841, 617038, 689230, 424787, 552378, 520269, 150848, 182310, 878152, 37502, 683451, 359948, 938389, 170247, 404200, 770651, 569596, 94805, 968288, 178039, 359776, 123578, 65167, 417137, 850648, 816245, 461643, 912044, 374586, 276664, 403120, 266873, 612735, 409203, 93827, 127896, 343596, 156014, 82302, 99453, 849012, 583249, 579209, 56267, 396484, 614508, 824337, 235599, 208347, 111494, 778122, 195823, 34955, 939874, 125792, 479709, 415390, 210445, 411517, 390164, 406634, 99459, 535047, 651310, 415542, 26215, 259097, 339712, 938053, 409453, 732204, 316969, 278860, 379285, 630233, 549700, 355945, 480269, 927909, 910523, 432710, 446825, 97729, 124047, 871231, 316054, 860095, 688481, 344278, 537967, 434083, 595934, 733608, 137933, 373888, 110069, 872687, 434913, 845923, 494474, 149904, 945262, 650291, 558908, 6408, 147395, 781597, 334721, 896519, 6237, 111743, 757375, 872540, 518091, 586325, 638524, 267493, 561370, 557789, 949840, 632436, 534569, 229779, 698516, 580288, 1502, 159904, 193394, 407979, 588687, 602318, 61153, 190769, 701726, 927843, 271264, 944700, 897438, 894231, 212035, 570515, 384115, 207204, 187113, 253917, 636155, 678359, 876660, 146290, 684748, 657229, 587100, 818077, 155090, 694398, 855437, 571451, 233398, 751567, 24797, 984026, 383950, 71668, 717136, 848056, 657746, 502206, 70128, 409033, 948498, 504731, 108625, 854243, 921707, 431799, 115918, 643619, 175824, 646052, 897626, 664951, 875215, 602056, 283125, 269956, 579371, 372112, 682272, 448165, 672544, 768657, 453157, 311890, 560364, 685161, 248709, 582823, 296302, 99131, 935015, 838142, 207822, 750393, 549454, 397633, 123020, 655735, 614995, 869799, 968407, 794678, 693280, 823691, 945111, 323464, 802547, 520563, 878061, 483626, 210814, 413376, 766635, 850902, 263436, 478209, 592009, 721937, 746728, 883998, 274407, 383384, 147351, 835742, 156044, 956209, 538500, 790978, 713426, 821339, 33872, 421485, 943983, 80456, 571229, 588166, 190024, 426026, 72948, 206286, 701966, 680687, 341514, 738360, 603032, 681169, 454719, 319070, 74918, 288463, 192488, 658510, 180777, 396654, 823577, 95611, 168921, 469995, 275327, 587441, 524256, 601721, 780348, 864256, 928726, 847878, 332123, 862044, 907095, 349013, 262139, 841375, 899441, 270275, 414087, 598142, 870664, 478311, 310931, 59270, 56300, 526807, 801137, 423040, 945045, 931281, 986740, 498578, 905535, 447484, 637973, 526945, 899134, 274521, 555363, 634517, 403614, 783825, 91177, 657316, 202326, 903663, 525640, 350395, 710447, 483389, 444533, 965360, 754267, 75462, 479451, 39437, 291167, 389143, 921711, 535205, 31047, 889380, 684206, 989439, 434617, 103328, 633969, 366495, 902534, 426087, 564696, 621404, 649732, 635230, 461470, 645093, 217814, 232887, 39021, 404405, 387787, 552564, 559424, 165583, 278721, 917050, 11872, 566317, 268677, 132767, 369580, 671197, 69766, 865219, 936867, 468568, 722549, 24042, 821142, 864380, 332504, 473428, 135265, 102904, 630992, 387273, 57114, 387024, 18842, 88967, 527503, 424318, 518428, 970338, 167307, 297279, 803066, 92346, 194468, 516884, 885391, 710318, 379224, 247737, 211562, 958992, 974247, 316854, 814015, 173305, 983434, 204859, 16686, 89504, 856863, 680975, 335295, 706688, 925764, 202069, 274538, 831479, 285200, 748075, 203702, 59264, 767250, 496894, 834553, 624511, 741567, 854522, 201668, 66868, 224629, 906285, 807610, 136558, 147626, 179458, 378811, 104278, 436136, 451039, 672599, 625885, 60723, 508956, 89777, 355548, 590802, 501238, 402860, 163272, 913084, 955616, 162646, 864785, 968164, 164365, 326175, 678241, 797846, 52057, 871940, 83893, 178561, 861947, 186739, 198518, 838768, 844238, 153992, 6514, 371158, 810066, 471716, 740818, 729231, 735247, 267054, 89627, 760662, 130379, 757936, 961558, 578913, 161190, 588087, 707258, 324934, 935424, 119961, 715175, 697543, 835405, 776482, 24830, 650456, 418432, 795194, 435723, 964030, 135962, 320382, 108024, 414062, 285384, 847994, 343328, 285212, 572758, 775482, 238911, 381782, 404948, 404128, 163434, 328171, 174147, 25728, 805740, 655770, 629118, 504898, 221607, 980460, 498139, 549342, 700933, 323466, 724543, 265719, 569761, 919003, 617764, 62146, 768877, 988423, 279317, 924325, 13909, 915181, 851798, 459547, 675143, 622605, 10958, 307939, 545871, 584500, 598341, 796298, 666255, 898600, 967952, 496730, 573532, 946823, 508213, 201497, 901490, 565437, 549312, 881215, 338597, 827427, 688602, 165038, 315594, 58633, 675768, 589540, 911438, 353528, 774878, 456871, 525419, 151767, 942003, 2372, 556676, 373270, 54527, 342889, 463333, 670, 745378, 900485, 679552, 954335, 210170, 617241, 31834, 495362, 225227, 626688, 603994, 554341, 314833, 229406, 745564, 549893, 638479, 609407, 783366, 447770, 34992, 38989, 811452, 28319, 405589, 487353, 428250, 535566, 27128, 338545, 975748, 690587, 953473, 214194, 112571, 184749, 878685, 24324, 373315, 894957, 819866, 171434, 301555, 721104 ]