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 ]
README.md exists but content is empty.
Downloads last month
33