var nums = new int[] {69289, 829295, 905812, 859156, 800004, 892344, 200598, 685365, 665780, 177169, 239087, 456318, 849583, 177244, 416358, 923251, 485278, 687058, 500234, 185160, 358486, 576579, 754459, 548461, 614217, 560165, 629059, 148763, 423592, 715957, 638570, 684741, 944654, 441361, 724565, 803809, 158352, 929583, 300583, 1078, 63073, 307743, 556617, 425699, 163210, 161637, 996456, 669349, 221909, 930945, 285164, 296586, 495961, 583984, 835239, 754867, 230248, 360448, 929220, 559461, 15992, 379905, 269131, 747706, 259283, 227616, 609564, 120151, 759918, 444324, 669064, 197136, 368928, 503984, 587553, 387755, 606348, 995194, 490482, 789911, 719336, 807646, 673505, 202147, 157569, 453112, 917669, 839849, 610523, 216538, 716819, 264555, 267517, 273117, 840151, 47908, 803162, 232523, 738284, 740296, 616493, 329092, 346333, 449499, 722835, 657905, 359612, 994287, 296439, 581781, 11664, 633163, 301870, 935966, 568116, 247144, 222113, 428691, 305883, 55986, 59461, 516371, 747676, 81444, 553860, 328483, 162845, 450971, 695677, 863073, 330230, 987738, 676973, 923564, 235230, 332877, 445510, 276599, 112767, 291587, 189315, 638876, 97941, 477339, 2511, 981994, 70676, 628481, 928578, 73175, 469364, 245293, 422393, 401390, 574192, 759236, 568562, 109450, 458524, 667177, 997657, 552021, 322786, 217599, 752866, 837528, 276593, 995375, 897578, 584957, 159821, 68529, 24244, 969516, 573440, 541479, 402480, 733183, 391880, 704081, 881991, 757398, 160574, 397496, 911233, 614020, 39057, 955466, 19740, 973226, 617447, 240448, 720402, 199105, 798463, 616599, 954176, 76660, 683269, 995687, 862966, 602050, 311398, 9919, 870812, 184136, 749898, 544656, 994265, 248795, 902630, 344610, 365453, 471887, 54349, 763102, 143152, 971050, 172831, 374248, 601931, 515645, 972338, 526305, 215005, 149875, 291656, 630120, 635672, 180949, 210456, 883025, 498369, 154195, 448527, 464595, 669654, 322057, 774870, 979071, 565572, 651972, 178839, 21379, 897480, 115114, 714371, 136291, 411642, 966887, 432653, 500236, 85071, 428440, 317407, 2474, 943313, 862522, 266946, 165733, 280278, 405536, 533450, 572083, 993177, 711245, 632383, 900924, 104974, 817323, 355556, 649691, 772557, 876295, 890509, 228798, 806021, 36520, 315505, 726085, 676248, 368488, 661429, 987216, 917577, 437431, 446403, 922997, 360130, 942801, 973113, 116655, 326594, 842607, 363742, 482852, 325929, 853434, 588151, 823928, 245394, 854948, 653548, 878065, 526451, 739971, 600692, 971826, 435943, 318179, 25571, 955166, 591642, 354458, 511355, 127767, 447782, 453190, 179991, 560665, 320446, 488963, 706747, 194252, 402408, 863434, 181083, 853154, 585761, 268324, 443794, 67396, 935078, 817645, 714364, 987433, 609746, 726613, 595960, 840970, 975414, 803434, 905282, 817096, 463010, 193190, 486762, 543691, 991608, 387134, 894170, 199923, 879631, 550447, 896829, 859374, 492075, 106256, 766688, 512640, 544984, 309334, 557252, 833765, 251338, 613945, 201510, 583801, 315444, 951465, 803692, 686601, 876457, 121623, 149553, 836118, 906959, 371173, 887860, 62852, 483427, 50657, 916296, 829181, 784814, 173062, 409433, 533329, 547301, 300379, 989455, 813921, 757784, 304758, 804694, 497600, 819965, 844757, 867019, 923148, 493909, 365013, 677140, 111970, 869981, 589846, 533624, 608586, 294381, 173005, 926912, 879987, 106885, 975994, 852418, 947684, 748967, 276294, 929743, 589407, 296143, 84738, 323639, 540240, 899667, 762463, 210600, 669307, 377555, 883578, 225319, 552330, 96022, 398654, 829052, 247610, 522591, 195529, 294591, 867561, 75732, 942998, 143640, 951344, 63021, 31660, 999264, 17555, 785531, 676652, 964483, 42646, 520929, 310346, 522894, 422554, 849702, 761047, 947950, 39642, 767988, 931419, 310414, 639284, 633673, 409841, 291988, 924826, 655754, 877969, 903361, 644332, 418738, 929492, 317869, 790224, 57465, 920042, 678779, 959186, 184901, 536340, 785177, 352241, 568843, 404455, 259539, 660164, 323354, 692605, 866874, 67727, 584173, 939430, 982313, 695080, 453953, 100641, 488372, 211120, 791437, 258990, 302884, 23746, 325240, 548561, 111710, 222129, 635542, 753205, 832149, 790844, 707663, 559989, 360546, 308418, 408152, 208842, 910925, 346253, 850181, 430855, 323625, 663506, 21378, 570586, 454033, 409659, 618505, 451700, 744171, 124066, 832424, 101477, 509826, 810624, 578206, 519531, 443572, 241006, 767350, 996751, 498262, 689591, 954225, 824626, 733841, 531914, 249609, 510953, 879451, 524079, 143738, 461094, 421751, 2530, 190268, 275707, 763016, 899573, 950788, 292624, 955695, 429239, 605851, 907048, 568605, 673084, 872375, 96536, 945763, 650549, 578405, 792782, 776623, 946893, 421357, 180049, 613053, 35266, 26474, 127176, 759018, 91719, 646056, 745033, 779686, 338408, 873454, 96038, 91249, 929132, 434765, 19867, 289336, 839674, 978779, 31914, 861338, 686432, 207610, 342614, 527249, 972696, 692706, 791424, 318957, 626970, 415796, 382319, 259048, 557232, 194380, 689746, 407526, 707428, 281170, 969887, 84950, 293365, 450635, 849302, 560703, 728160, 851570, 414410, 553620, 658329, 596992, 315727, 547536, 793356, 862418, 15339, 716591, 735523, 566812, 562031, 677184, 996140, 338857, 16197, 579778, 781524, 390467, 218077, 732676, 928130, 411210, 410950, 429440, 276304, 239952, 150709, 767896, 459000, 912705, 880342, 283632, 380746, 100489, 803429, 707992, 597569, 356496, 332464, 789963, 481662, 136379, 955419, 449406, 503401, 560904, 938330, 763522, 203438, 808337, 861075, 308282, 246907, 597516, 5669, 636573, 773904, 754251, 358632, 745325, 799860, 16099, 777703, 308364, 109130, 355984, 924212, 98852, 683083, 662389, 359126, 928598, 312478, 789927, 984871, 455870, 285423, 958650, 582930, 253892, 885608, 284861, 548481, 868521, 282425, 830742, 477147, 303572, 433189, 172484, 694318, 858958, 512166, 593965, 269385, 793928, 905016, 592026, 472293, 704750, 869189, 489051, 472165, 699613, 246792, 920156, 196032, 388829, 481804, 447684, 462188, 772561, 626348, 822575, 895477, 792055, 708704, 967219, 924584, 150921, 28740, 529577, 676162, 186012, 539573, 377838, 702644, 959722, 622792, 930309, 640515, 430746, 924957, 550796, 660719, 615446, 763320, 568945, 724229, 359371, 805801, 181644, 778178, 703619, 902309, 847302, 473442, 254418, 665290, 879909, 362633, 221508, 705018, 659660, 219990, 857072, 569318, 739411, 712789, 932688, 27057, 965276, 816013, 702212, 720645, 106641, 82571, 510773, 534718, 820577, 318369, 949816, 907193, 588955, 581655, 588269, 448501, 137400, 381726, 862007, 128289, 807033, 212093, 367195, 638391, 330182, 491611, 649087, 253521, 249940, 960943, 690020, 722140, 810771, 174718, 915902, 473354, 767112, 389499, 12231, 452329, 60376, 34201, 534129, 11237, 249888, 450153, 340702, 406102, 311369, 622028, 968544, 485379, 141697, 615248, 257122, 652465, 763965, 695213, 579930, 505082, 212045, 936229, 870588, 847930, 610423, 894226, 398326, 712873, 366644, 930784, 447545, 433781, 885386, 425275, 54680, 61468, 253833, 688358, 703766, 761198, 492066, 417143, 900308, 651580, 453516, 570867, 981469, 857862, 642083, 984011, 809088, 678214, 933643, 917886, 867319, 456412, 609090, 174510, 336063, 730777, 956772, 601621, 800894, 127329, 505902, 63294, 977326, 170544, 157547, 205486, 366034, 590233, 417499, 444338, 237591, 606645, 904535, 36752, 621006, 565285, 418856, 632987, 389572, 349597, 209124, 119360, 251541, 842922, 774714, 968045, 681857, 103374, 159982, 760977, 999007, 312193, 910769, 59635, 653692, 202125, 831363, 473314, 87684, 486696, 977473, 811909, 306332, 996793, 339977, 69505, 187571, 644973, 962999, 790616, 707843, 15520, 365081, 272997, 285879, 202352, 373147, 807459, 523488, 675622, 902261, 94441, 214579, 167260, 493975, 10224, 441622, 645137, 456942, 863271, 158631, 808599, 158954, 412040, 526899, 769712, 355176, 834040, 940744, 29482, 171860, 343610, 355819, 913537, 161977, 555895, 768059, 106461, 102021, 5752, 813834, 777098, 632657, 228216, 272602, 558954, 857573, 687326, 1467, 379551, 38923, 702161, 616270, 955164, 480898, 192757, 731887, 645636, 39779, 98856, 893135, 988544, 452568, 339986, 513837, 408710, 315065, 491435, 143667, 659936, 150559, 990861, 445649, 226539, 424766, 586655, 743212, 1788, 188496, 830028, 596744, 143600, 906052, 326334, 618437, 658957, 599875, 264301, 687484, 446063, 341887, 878150, 380046, 233025, 592505, 657006, 57678, 441168, 171327, 753279, 502031, 291480, 172472, 32732, 463509, 830058, 960671, 490450, 969209, 98943, 907715, 644036, 617322, 812406, 24401, 444657, 544348, 432846, 580878, 210755, 900743, 468360, 418515, 493876, 20863, 632842, 731955, 907077, 853541, 808856, 249250, 966432, 377860, 735471, 514329, 516315, 407972, 755901, 181233, 203526, 100986, 1420, 466988, 517526, 15677, 485586, 148843, 977770, 509393, 611832, 694266, 154162, 193224, 62174, 77647, 169241, 126792, 553077, 402492, 560855, 265724, 973509, 935294, 868686, 596156, 4604, 237055, 396793, 822842, 419361, 879586, 568035, 669506, 979413, 284312, 631664, 840378, 465188, 959785, 180883, 586511, 206415, 844675, 416249, 995509, 998335, 545655, 358125, 320361, 355638, 108256, 931656, 379807, 688715, 522390, 395037, 44913, 676188, 292153, 665961, 875934, 480438, 691383, 461032, 577609, 48789, 38101, 664165, 600483, 479237, 358314, 843683, 177944, 474605, 177350, 181056, 701377, 726367, 940127, 340723, 257265, 168213, 755403, 44973, 728373, 619658, 292731, 597250, 504490, 562743, 33046, 110771, 635106, 992144, 533980, 431485, 50922, 262119, 582637, 860736, 873509, 338120, 880823, 70058, 639256, 891363, 282918, 256755, 734685, 729163, 490107, 270284, 226470, 256549, 956351, 703444, 311450, 530009, 5602, 278665, 82585, 541503, 412003, 50097, 727120, 777682, 493566, 990725, 873148, 194923, 330385, 8617, 923315, 415236, 102061, 62601, 27737, 417279, 31684, 928301, 613060, 262337, 999194, 492279, 782822, 238941, 768180, 120951, 204290, 813499, 392337, 221869, 103653, 14786, 910011, 702178, 115073, 369123, 566606, 650869, 862790, 655470, 61939, 997803, 274692, 85147, 153557, 102457, 148298, 562392, 809882, 569358, 628660, 411845, 530123, 297624, 415393, 142977, 916015, 581298, 340402, 613231, 382768, 687647, 307752, 923856, 213413, 290188, 308066, 923336, 997792, 247702, 377726, 622018, 905488, 66089, 491897, 142184, 796829, 202385, 568614, 994284, 2264, 847474, 622960, 217806, 460900, 748503, 764585, 210110, 87391, 527435, 435694, 511194, 710941, 766333, 729233, 441311, 70497, 665030, 730391, 116880, 552007, 801366, 268960, 236324, 849772, 73543, 641568, 105757, 989977, 629605, 158801, 594849, 937719, 256398, 806446, 28853, 266199, 590941, 938381, 201161, 878070, 929512, 88439, 198161, 381966, 75137, 976416, 358097, 99640, 862107, 459288, 33593, 512389, 176966, 284837, 16554, 703401, 261947, 884495, 380058, 460773, 810902, 203954, 586749, 102742, 42675, 196332, 810413, 597721, 694566, 723189, 422690, 194468, 616764, 672235, 432021, 257010, 807170, 972628, 811322, 715620, 964181, 277675, 242365, 68824, 89037, 735804, 539530, 436087, 814648, 990371, 556077, 815603, 605601, 337302, 767636, 732141, 260999, 714254, 199888, 792086, 831118, 787975, 707552, 885711, 622307, 918835, 769448, 18929, 560273, 142516, 740623, 651723, 837518, 115663, 736155, 793493, 889884, 26119, 550015, 551599, 948070, 865341, 962171, 690332, 767744, 905323, 300542, 71234, 666135, 486142, 558486, 411796, 346486, 512679, 542875, 713687, 935579, 437247, 427478, 429268, 869455, 325032, 196022, 180700, 601278, 980747, 369760, 331235, 253241, 677169, 388036, 962479, 141573, 823189, 618980, 889500, 635219, 168522, 907249, 280027, 736979, 535017, 559208, 220405, 740924, 738195, 571503, 951166, 285184, 273201, 697392, 601742, 510625, 190973, 972132, 391415, 714339, 656357, 128127, 350712, 270575, 265223, 990150, 666887, 413503, 598230, 73871, 16179, 932593, 975569, 860016, 828704, 172777, 750423, 557690, 114446, 621290, 59867, 649295, 894291, 827466, 438421, 967887, 425532, 950960, 582902, 888806, 323296, 753216, 874056, 195679, 982492, 134993, 340803, 173362, 551188, 234732, 81387, 532429, 668175, 441331, 198407, 952576, 223734, 643185, 783989, 694078, 139318, 594456, 29256, 868751, 106013, 428769, 217716, 761210, 612784, 610648, 315079, 473197, 892440, 353427, 548952, 849653, 884521, 129170, 453955, 184968, 992732, 845460, 287855, 896408, 523690, 279650, 241003, 966244, 74740, 903905, 389454, 21079, 428958, 6734, 250114, 315416, 923919, 709203, 917435, 854612, 390674, 260396, 409150, 387915, 634133, 692410, 506546, 506178, 670851, 594198, 736789, 973611, 319462, 392815, 833801, 880269, 477254, 56930, 263291, 692053, 804463, 774309, 621205, 526651, 697907, 838713, 855856, 335699, 977209, 682527, 918693, 576058, 920975, 360855, 729018, 768024, 806397, 396141, 941248, 717649, 125415, 462539, 780927, 608601, 112762, 385444, 674362, 775494, 74444, 947327, 981890, 196079, 528834, 227538, 478503, 742673, 473941, 410106, 363161, 815822, 394229, 645279, 931047, 185574, 661872, 601914, 356102, 641076, 983595, 911374, 433534, 847668, 553918, 695232, 562652, 92008, 637431, 667891, 274683, 943147, 63642, 574581, 564329, 270808, 889169, 870978, 411957, 802370, 76556, 903639, 309542, 909257, 323536, 674634, 356720, 10574, 463532, 726138, 737503, 489155, 217819, 569943, 455531, 670416, 243383, 949261, 374636, 920643, 49936, 416900, 750154, 953643, 425234, 598083, 677742, 623573, 917784, 378713, 248687, 624229, 519532, 506118, 162565, 630372, 83783, 391909, 481560, 871932, 706294, 403846, 90922, 464201, 443675, 193263, 599796, 432536, 473572, 274401, 179387, 541548, 518216, 374899, 66761, 926793, 924689, 552370, 782805, 417161, 510453, 911356, 454485, 655997, 459914, 687171, 551953, 353986, 543058, 554177, 478880, 891452, 720319, 530846, 729612, 446371, 272849, 534370, 114448, 579125, 473605, 639715, 47640, 631587, 923381, 780853, 149724, 831470, 243007, 342652, 392388, 889576, 188064, 111508, 359096, 526284, 93827, 605496, 914450, 33480, 632811, 4273, 650474, 244008, 406111, 231998, 299520, 286763, 579273, 555631, 364026, 48252, 225605, 356269, 184655, 34688, 659960, 676676, 592080, 228286, 844877, 595793, 801461, 791713, 879426, 296724, 71992, 933660, 62295, 326260, 458973, 947418, 620722, 860781, 642945, 289184, 616091, 827941, 393703, 453403, 98655, 31575, 15122, 927623, 108550, 995515, 553651, 310307, 308558, 6563, 712785, 684714, 760919, 547880, 797912, 658991, 355792, 499388, 321506, 852341, 238323, 8794, 673330, 342215, 829876, 595778, 897755, 58470, 855094, 137785, 459854, 455276, 277307, 583831, 743861, 997682, 928486, 1911, 290284, 406383, 344001, 407248, 701955, 776998, 660051, 902282, 771114, 569771, 396325, 907566, 58526, 935629, 158782, 835726, 658353, 529301, 295096, 262515, 201219, 758792, 828680, 888505, 113794, 944092, 842602, 89360, 506478, 310335, 541838, 637495, 483520, 837612, 647296, 774736, 214350, 1978, 655283, 240112, 823970, 313218, 34116, 361809, 317324, 719829, 635194, 882065, 78631, 778942, 324592, 77365, 183270, 632570, 327958, 770937, 440963, 54100, 493028, 217269, 28791, 698961, 775119, 997029, 59836, 574619, 85778, 564865, 601807, 320614, 58327, 41854, 932224, 273265, 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