Here are TEN typical, not-quite-uniformly-at-random, Solid Young Tableaux of\ shape, [%1, %1, %1, %1, %1, %1, %1, %1, %1, %1] %1 := [10, 10, 10, 10, 10, 10, 10, 10, 10, 10] but close to it, using the VERY FAST 3D analog the the amazing Greene-Nijenhuis-Wilf, that in 2D famously gives you a uniformly-at-random Standard Young Tableau ---------------------------------------------------------------- [[[1, 2, 11, 17, 21, 24, 82, 99, 117, 200], [3, 18, 20, 50, 56, 74, 166, 173, 185, 288], [6, 19, 39, 79, 84, 131, 181, 209, 226, 462], [7, 32, 53, 83, 97, 211, 225, 230, 322, 468], [12, 37, 81, 107, 138, 224, 228, 302, 356, 474], [44, 51, 111, 133, 168, 244, 256, 324, 460, 536], [55, 101, 167, 190, 220, 271, 281, 336, 512, 606], [71, 127, 184, 198, 339, 376, 377, 428, 543, 615], [88, 137, 272, 309, 362, 456, 473, 603, 689, 775], [176, 253, 304, 370, 508, 594, 659, 674, 755, 862]], [ [4, 8, 15, 41, 69, 92, 98, 151, 216, 235], [5, 27, 46, 76, 95, 113, 207, 208, 246, 305], [10, 49, 87, 106, 116, 156, 237, 283, 320, 464], [29, 61, 94, 114, 121, 217, 273, 294, 352, 496], [30, 63, 112, 141, 161, 227, 323, 342, 367, 560], [45, 80, 130, 183, 219, 299, 357, 373, 539, 578], [67, 154, 189, 259, 292, 325, 381, 423, 573, 638], [91, 170, 214, 308, 358, 454, 571, 605, 734, 762], [132, 327, 366, 382, 427, 540, 574, 735, 747, 781], [197, 334, 420, 485, 595, 714, 768, 784, 843, 866]], [ [9, 16, 25, 42, 96, 104, 128, 186, 289, 295], [14, 36, 59, 102, 143, 157, 254, 279, 328, 372], [23, 57, 126, 142, 177, 233, 268, 392, 439, 502], [52, 64, 147, 162, 182, 239, 297, 421, 516, 520], [68, 115, 165, 187, 241, 361, 422, 503, 518, 576], [72, 118, 194, 258, 315, 431, 450, 542, 558, 634], [123, 174, 251, 326, 453, 489, 494, 625, 652, 743], [125, 205, 290, 414, 484, 566, 647, 710, 749, 766], [261, 390, 416, 449, 497, 604, 695, 754, 806, 820], [267, 483, 554, 562, 630, 757, 811, 830, 870, 912]], [ [13, 26, 43, 58, 139, 146, 212, 278, 307, 442], [28, 60, 66, 108, 155, 195, 270, 341, 344, 475], [47, 70, 129, 175, 178, 296, 333, 415, 488, 565], [77, 122, 180, 206, 274, 317, 398, 545, 548, 590], [78, 210, 238, 257, 311, 444, 527, 569, 650, 746], [85, 231, 293, 301, 404, 463, 553, 582, 683, 771], [135, 276, 329, 380, 500, 513, 642, 709, 711, 826], [260, 310, 437, 504, 534, 591, 676, 716, 764, 836], [286, 406, 452, 517, 612, 629, 707, 808, 821, 946], [375, 532, 621, 675, 819, 833, 846, 884, 896, 962]], [ [22, 40, 75, 140, 159, 203, 245, 332, 391, 479], [35, 65, 105, 149, 171, 249, 335, 418, 478, 481], [54, 93, 169, 204, 265, 318, 441, 509, 533, 669], [86, 202, 248, 252, 282, 348, 480, 555, 602, 697], [100, 232, 340, 374, 451, 476, 535, 570, 706, 772], [160, 262, 378, 405, 461, 575, 611, 668, 721, 885], [191, 291, 393, 438, 538, 585, 663, 720, 763, 894], [264, 407, 446, 564, 622, 678, 777, 790, 798, 925], [363, 440, 486, 597, 645, 738, 780, 824, 835, 961], [383, 584, 703, 761, 834, 848, 861, 933, 959, 982]], [ [31, 73, 90, 153, 163, 240, 280, 360, 425, 593], [38, 89, 179, 213, 263, 319, 338, 424, 501, 599], [62, 192, 218, 266, 300, 353, 525, 544, 598, 681], [134, 223, 345, 354, 394, 465, 552, 653, 673, 726], [148, 316, 371, 435, 491, 551, 581, 692, 779, 804], [234, 369, 434, 487, 526, 596, 655, 737, 786, 893], [298, 389, 469, 561, 600, 727, 794, 812, 868, 895], [312, 445, 505, 607, 636, 769, 816, 840, 880, 927], [412, 495, 541, 679, 687, 774, 853, 907, 947, 968], [613, 657, 722, 767, 839, 864, 918, 936, 970, 984]], [ [33, 103, 158, 229, 243, 277, 287, 379, 490, 617], [48, 120, 193, 269, 351, 399, 413, 433, 671, 688], [124, 196, 303, 331, 410, 514, 580, 614, 680, 715], [136, 247, 350, 447, 471, 547, 626, 694, 730, 741], [222, 355, 384, 467, 510, 610, 702, 724, 813, 832], [242, 400, 455, 529, 619, 633, 708, 750, 827, 897], [401, 426, 499, 588, 691, 758, 818, 831, 891, 929], [477, 506, 507, 693, 733, 793, 850, 911, 930, 941], [531, 666, 684, 704, 795, 860, 883, 914, 963, 974], [628, 728, 752, 785, 858, 878, 935, 939, 981, 992]], [ [34, 109, 164, 285, 364, 396, 411, 457, 635, 662], [110, 144, 306, 313, 385, 511, 523, 608, 686, 732], [150, 236, 349, 409, 430, 549, 631, 667, 760, 867], [215, 284, 365, 482, 515, 592, 656, 740, 782, 874], [275, 388, 419, 550, 579, 641, 744, 799, 857, 913], [321, 417, 519, 572, 648, 661, 814, 823, 876, 926], [443, 567, 583, 670, 712, 803, 871, 899, 938, 948], [521, 623, 649, 701, 792, 807, 892, 921, 952, 964], [556, 696, 718, 822, 859, 901, 906, 955, 975, 988], [664, 729, 796, 829, 872, 910, 956, 980, 993, 994]], [ [119, 152, 221, 330, 395, 470, 530, 690, 731, 770], [145, 188, 347, 458, 528, 559, 586, 742, 778, 841], [201, 314, 386, 493, 557, 632, 713, 783, 802, 873], [255, 346, 436, 587, 637, 654, 751, 844, 877, 879], [337, 403, 472, 624, 640, 759, 837, 869, 904, 916], [387, 459, 546, 660, 699, 817, 875, 890, 917, 944], [466, 646, 665, 765, 805, 854, 881, 903, 942, 950], [524, 651, 672, 801, 849, 905, 923, 951, 958, 977], [601, 748, 773, 825, 898, 934, 937, 967, 976, 989], [685, 810, 847, 865, 931, 940, 971, 985, 997, 998]], [ [172, 199, 368, 408, 448, 577, 618, 725, 776, 882], [250, 397, 492, 498, 563, 616, 719, 842, 845, 908], [343, 432, 537, 609, 643, 717, 753, 852, 886, 909], [359, 589, 620, 627, 723, 789, 838, 856, 924, 928], [402, 639, 644, 658, 797, 800, 887, 922, 949, 969], [429, 677, 705, 736, 809, 888, 900, 945, 966, 983], [522, 698, 739, 791, 828, 902, 920, 960, 972, 986], [568, 700, 745, 855, 863, 915, 932, 973, 979, 991], [682, 787, 788, 889, 943, 953, 965, 978, 990, 996], [756, 815, 851, 919, 954, 957, 987, 995, 999, 1000]]] --------------------------------------------------- [[[1, 2, 8, 11, 24, 37, 56, 85, 134, 166], [5, 12, 15, 22, 57, 79, 108, 137, 194, 220], [6, 20, 45, 54, 71, 90, 165, 198, 216, 261], [7, 30, 64, 73, 105, 161, 184, 259, 260, 410], [14, 35, 92, 117, 131, 177, 224, 269, 304, 526], [21, 67, 107, 129, 143, 226, 232, 275, 348, 559], [48, 95, 119, 152, 172, 240, 322, 329, 503, 668], [51, 121, 133, 201, 227, 337, 345, 490, 633, 672], [62, 139, 191, 272, 405, 439, 499, 616, 655, 697], [87, 293, 299, 437, 482, 519, 543, 710, 729, 850]], [ [3, 9, 13, 25, 40, 60, 84, 88, 183, 195], [17, 23, 27, 46, 75, 127, 146, 237, 256, 300], [19, 26, 74, 77, 102, 164, 219, 255, 285, 433], [32, 70, 110, 116, 171, 178, 264, 378, 387, 465], [44, 83, 123, 160, 193, 209, 331, 400, 428, 591], [63, 101, 128, 176, 206, 239, 377, 450, 476, 684], [76, 156, 162, 185, 231, 247, 390, 474, 527, 700], [93, 158, 290, 317, 363, 460, 510, 547, 661, 762], [186, 252, 308, 368, 467, 472, 554, 679, 702, 771], [263, 294, 479, 491, 609, 618, 670, 757, 790, 900]], [ [4, 10, 34, 42, 43, 136, 163, 173, 254, 318], [29, 38, 68, 81, 126, 151, 213, 267, 301, 384], [36, 65, 124, 150, 155, 179, 234, 383, 386, 471], [55, 89, 135, 154, 202, 208, 321, 419, 448, 541], [59, 109, 174, 175, 242, 257, 351, 441, 505, 676], [94, 115, 190, 192, 245, 335, 379, 454, 552, 685], [120, 169, 238, 282, 310, 414, 469, 520, 606, 745], [225, 280, 307, 340, 436, 463, 542, 643, 706, 849], [248, 356, 365, 445, 481, 544, 588, 751, 765, 899], [397, 398, 506, 613, 634, 730, 759, 784, 910, 950]], [ [16, 18, 61, 80, 91, 147, 188, 241, 268, 374], [31, 39, 86, 125, 142, 207, 235, 283, 355, 516], [58, 69, 145, 212, 215, 273, 324, 425, 453, 580], [82, 167, 170, 229, 277, 359, 416, 475, 522, 642], [98, 196, 236, 347, 362, 370, 418, 517, 598, 732], [114, 197, 320, 357, 442, 444, 535, 555, 656, 776], [199, 276, 332, 394, 486, 540, 556, 712, 792, 839], [302, 341, 344, 483, 539, 578, 673, 715, 842, 854], [336, 367, 393, 502, 587, 646, 755, 788, 846, 949], [446, 487, 553, 621, 705, 733, 844, 885, 920, 973]], [ [28, 33, 72, 96, 112, 218, 278, 309, 380, 452], [41, 111, 118, 130, 148, 288, 316, 328, 402, 573], [66, 132, 159, 246, 279, 343, 404, 451, 512, 665], [97, 203, 211, 274, 358, 426, 458, 523, 574, 688], [100, 221, 298, 366, 371, 507, 524, 594, 601, 748], [214, 271, 373, 401, 480, 610, 630, 701, 752, 779], [292, 297, 395, 423, 546, 674, 708, 720, 864, 867], [338, 457, 534, 536, 597, 699, 716, 782, 875, 881], [350, 470, 579, 599, 626, 721, 763, 806, 889, 963], [447, 509, 639, 726, 804, 834, 907, 924, 932, 981]], [ [47, 53, 78, 106, 181, 243, 311, 346, 435, 500], [49, 113, 144, 153, 253, 314, 326, 461, 532, 582], [103, 157, 204, 289, 333, 412, 468, 478, 567, 667], [180, 217, 334, 376, 388, 429, 488, 592, 731, 753], [189, 262, 360, 391, 432, 593, 620, 666, 754, 781], [284, 323, 430, 443, 538, 641, 704, 766, 786, 794], [295, 399, 508, 525, 583, 692, 743, 793, 873, 911], [422, 529, 595, 628, 638, 735, 746, 874, 880, 917], [514, 531, 617, 651, 741, 789, 807, 888, 895, 975], [607, 687, 805, 829, 838, 865, 930, 954, 959, 984]], [ [50, 99, 122, 210, 233, 306, 327, 406, 558, 572], [138, 149, 287, 303, 305, 330, 381, 464, 566, 604], [140, 222, 313, 319, 389, 473, 484, 584, 738, 760], [200, 265, 361, 409, 434, 551, 557, 683, 750, 769], [205, 325, 382, 513, 549, 612, 657, 742, 811, 813], [372, 459, 492, 600, 671, 691, 724, 815, 824, 860], [403, 569, 571, 649, 694, 725, 801, 866, 898, 915], [440, 586, 627, 678, 758, 818, 845, 893, 901, 961], [602, 647, 650, 744, 799, 833, 902, 921, 938, 978], [680, 723, 821, 836, 891, 935, 951, 972, 982, 990]], [ [52, 104, 187, 228, 312, 354, 495, 537, 561, 631], [168, 230, 291, 375, 417, 438, 511, 629, 653, 654], [223, 286, 392, 407, 431, 550, 565, 659, 780, 800], [281, 408, 424, 494, 528, 575, 619, 777, 837, 862], [364, 421, 449, 521, 632, 681, 711, 797, 855, 904], [415, 501, 596, 658, 675, 707, 772, 830, 886, 925], [466, 589, 682, 703, 768, 848, 859, 871, 913, 955], [518, 624, 695, 727, 796, 853, 914, 916, 922, 966], [623, 690, 774, 810, 858, 896, 931, 947, 964, 979], [718, 749, 847, 882, 936, 945, 952, 974, 991, 993]], [ [141, 249, 250, 342, 396, 504, 548, 603, 709, 722], [182, 266, 352, 385, 489, 568, 605, 635, 739, 814], [270, 369, 496, 498, 576, 622, 660, 756, 785, 868], [315, 455, 533, 564, 614, 636, 717, 812, 870, 905], [413, 493, 577, 648, 663, 737, 773, 823, 876, 912], [530, 570, 608, 693, 713, 761, 851, 863, 890, 941], [545, 611, 696, 728, 825, 861, 879, 909, 944, 956], [563, 625, 783, 791, 878, 883, 933, 940, 969, 971], [662, 747, 827, 877, 887, 897, 953, 967, 980, 986], [795, 816, 852, 939, 942, 957, 977, 987, 992, 999]], [ [244, 251, 258, 420, 462, 560, 637, 645, 740, 831], [296, 339, 353, 427, 515, 590, 664, 808, 817, 869], [349, 411, 497, 585, 615, 652, 669, 809, 828, 919], [456, 477, 562, 644, 677, 719, 770, 840, 906, 928], [485, 581, 689, 698, 787, 819, 832, 841, 908, 929], [640, 714, 734, 764, 822, 857, 872, 927, 962, 965], [686, 767, 778, 803, 856, 892, 894, 948, 970, 985], [736, 798, 802, 820, 918, 934, 946, 960, 976, 997], [775, 826, 835, 884, 923, 937, 983, 988, 989, 998], [843, 903, 926, 943, 958, 968, 994, 995, 996, 1000]]] --------------------------------------------------- [[[1, 4, 7, 10, 14, 17, 32, 35, 114, 123], [2, 6, 11, 15, 21, 64, 76, 152, 174, 243], [12, 25, 27, 33, 43, 73, 139, 168, 178, 392], [24, 40, 55, 74, 107, 159, 162, 230, 273, 395], [38, 47, 83, 103, 137, 165, 247, 294, 367, 487], [52, 63, 106, 136, 207, 240, 321, 400, 463, 568], [60, 87, 132, 145, 239, 246, 322, 420, 480, 575], [66, 133, 170, 184, 275, 283, 323, 497, 558, 601], [75, 140, 216, 383, 394, 419, 561, 572, 577, 684], [224, 234, 348, 459, 473, 609, 633, 713, 799, 862]], [ [3, 5, 9, 20, 44, 51, 69, 148, 212, 307], [8, 22, 30, 31, 48, 118, 158, 208, 277, 414], [26, 49, 50, 95, 105, 135, 193, 256, 384, 437], [42, 53, 57, 112, 120, 242, 249, 380, 402, 470], [65, 97, 124, 134, 221, 251, 317, 462, 464, 500], [84, 98, 129, 241, 276, 297, 324, 466, 506, 620], [88, 109, 203, 268, 301, 396, 433, 483, 526, 639], [150, 166, 279, 299, 416, 469, 509, 573, 589, 731], [287, 388, 415, 441, 456, 489, 606, 698, 737, 801], [407, 418, 451, 494, 590, 611, 738, 814, 816, 905]], [ [13, 16, 23, 36, 67, 121, 131, 206, 237, 326], [19, 34, 45, 54, 94, 160, 228, 254, 343, 452], [41, 79, 110, 115, 186, 195, 316, 328, 454, 504], [61, 89, 179, 199, 217, 285, 320, 461, 486, 599], [78, 104, 183, 225, 248, 351, 412, 477, 515, 644], [92, 182, 213, 265, 314, 405, 475, 511, 564, 672], [156, 218, 300, 337, 385, 457, 570, 574, 721, 766], [201, 229, 340, 435, 438, 522, 623, 653, 751, 837], [325, 391, 436, 458, 560, 617, 667, 740, 797, 841], [411, 434, 523, 629, 688, 736, 810, 898, 919, 940]], [ [18, 37, 56, 72, 90, 128, 187, 223, 281, 356], [29, 77, 82, 154, 172, 202, 231, 334, 374, 507], [68, 86, 126, 173, 245, 288, 353, 393, 519, 566], [71, 93, 181, 257, 310, 342, 421, 492, 539, 600], [96, 125, 191, 292, 319, 382, 547, 569, 628, 662], [99, 190, 264, 296, 424, 445, 565, 607, 671, 727], [180, 271, 346, 444, 446, 498, 634, 646, 764, 828], [250, 361, 364, 499, 533, 534, 670, 674, 770, 860], [365, 410, 524, 529, 578, 694, 734, 744, 842, 866], [439, 525, 540, 707, 720, 811, 845, 927, 947, 967]], [ [28, 39, 80, 91, 101, 198, 200, 238, 358, 448], [81, 108, 119, 175, 185, 259, 318, 422, 484, 518], [100, 149, 161, 176, 298, 352, 428, 581, 587, 602], [144, 163, 244, 278, 315, 368, 556, 603, 619, 745], [151, 219, 266, 344, 355, 450, 586, 630, 711, 808], [153, 226, 376, 377, 481, 490, 612, 669, 715, 859], [210, 362, 398, 482, 512, 538, 647, 743, 826, 875], [311, 406, 443, 510, 649, 681, 718, 752, 840, 901], [378, 472, 593, 627, 666, 748, 749, 759, 844, 956], [516, 549, 675, 728, 794, 838, 911, 948, 961, 976]], [ [46, 58, 102, 141, 142, 211, 214, 302, 401, 559], [113, 138, 147, 192, 274, 335, 360, 431, 488, 585], [127, 188, 197, 205, 330, 381, 517, 588, 702, 739], [157, 233, 255, 295, 366, 425, 584, 643, 710, 776], [194, 252, 282, 403, 426, 460, 604, 685, 761, 824], [263, 341, 417, 478, 543, 625, 638, 719, 809, 871], [290, 409, 476, 624, 642, 693, 733, 791, 834, 891], [375, 467, 576, 635, 665, 756, 757, 819, 864, 928], [430, 541, 641, 664, 701, 780, 792, 854, 878, 978], [555, 591, 788, 804, 836, 877, 926, 955, 971, 989]], [ [59, 62, 130, 143, 167, 232, 345, 370, 440, 687], [122, 146, 164, 280, 338, 371, 479, 508, 580, 709], [169, 189, 260, 293, 347, 503, 583, 637, 746, 782], [209, 258, 267, 331, 386, 554, 651, 699, 763, 793], [215, 312, 313, 495, 502, 621, 661, 732, 781, 913], [270, 373, 442, 501, 605, 683, 714, 735, 831, 916], [306, 455, 485, 632, 673, 730, 778, 817, 885, 922], [390, 493, 592, 659, 741, 796, 815, 873, 918, 930], [528, 608, 689, 725, 755, 839, 853, 892, 921, 987], [618, 657, 843, 850, 861, 894, 934, 959, 983, 992]], [ [70, 111, 177, 253, 289, 329, 350, 520, 567, 726], [155, 196, 269, 327, 339, 496, 579, 594, 742, 773], [171, 222, 286, 332, 453, 550, 596, 668, 762, 787], [227, 303, 413, 449, 548, 613, 677, 704, 784, 818], [308, 357, 465, 542, 552, 652, 705, 803, 827, 915], [363, 532, 544, 597, 676, 724, 772, 813, 870, 935], [387, 545, 582, 656, 679, 765, 821, 847, 895, 966], [423, 650, 655, 790, 812, 823, 835, 880, 932, 975], [622, 690, 692, 846, 869, 883, 896, 943, 957, 990], [680, 760, 881, 887, 900, 939, 950, 960, 984, 996]], [ [85, 116, 236, 354, 379, 429, 553, 626, 678, 769], [204, 291, 333, 369, 427, 521, 610, 640, 800, 820], [235, 304, 336, 389, 471, 551, 695, 700, 851, 865], [262, 372, 505, 527, 562, 614, 716, 777, 879, 897], [399, 514, 546, 648, 654, 682, 775, 806, 886, 945], [408, 557, 645, 697, 768, 774, 867, 889, 946, 965], [474, 595, 660, 785, 795, 852, 904, 906, 949, 968], [513, 691, 802, 832, 882, 899, 909, 924, 951, 979], [708, 758, 855, 857, 884, 910, 937, 954, 981, 994], [750, 829, 908, 917, 923, 942, 963, 969, 991, 999]], [ [117, 220, 272, 359, 468, 537, 616, 703, 798, 805], [261, 309, 349, 404, 531, 706, 723, 771, 833, 848], [284, 397, 447, 563, 615, 747, 753, 783, 890, 903], [305, 530, 536, 571, 663, 767, 822, 876, 914, 941], [432, 598, 658, 712, 754, 825, 856, 888, 933, 962], [491, 636, 696, 717, 789, 858, 872, 944, 952, 980], [535, 686, 729, 786, 893, 929, 936, 958, 964, 985], [631, 722, 807, 849, 907, 931, 938, 970, 972, 995], [779, 830, 863, 868, 920, 953, 973, 974, 988, 998], [874, 902, 912, 925, 977, 982, 986, 993, 997, 1000]]] --------------------------------------------------- [[[1, 7, 9, 13, 14, 68, 88, 98, 102, 135], [3, 8, 16, 25, 37, 77, 97, 101, 153, 170], [4, 15, 21, 31, 43, 85, 156, 167, 209, 252], [6, 18, 30, 36, 67, 176, 221, 242, 294, 328], [32, 53, 73, 79, 163, 220, 248, 334, 421, 544], [33, 78, 137, 185, 258, 300, 343, 382, 454, 572], [55, 94, 172, 256, 312, 344, 416, 487, 503, 633], [72, 125, 239, 307, 355, 399, 466, 504, 538, 645], [131, 174, 330, 336, 392, 407, 498, 545, 617, 739], [226, 274, 375, 383, 456, 499, 575, 629, 721, 768]], [ [2, 12, 17, 20, 56, 80, 91, 105, 159, 204], [5, 22, 26, 47, 112, 116, 148, 205, 213, 389], [10, 40, 41, 49, 161, 208, 230, 255, 310, 394], [39, 74, 118, 134, 198, 217, 283, 321, 412, 490], [45, 103, 183, 189, 215, 293, 326, 339, 442, 570], [60, 107, 195, 243, 291, 384, 387, 464, 551, 580], [70, 127, 277, 354, 385, 405, 496, 532, 609, 657], [109, 177, 327, 378, 391, 506, 522, 553, 696, 726], [152, 257, 351, 417, 435, 578, 589, 606, 788, 840], [267, 332, 430, 476, 537, 698, 709, 712, 856, 911]], [ [11, 27, 28, 54, 58, 96, 99, 171, 199, 232], [19, 29, 50, 61, 138, 140, 210, 253, 268, 413], [23, 62, 75, 95, 164, 211, 280, 282, 316, 528], [46, 104, 149, 151, 212, 286, 308, 352, 433, 634], [51, 144, 223, 245, 284, 404, 451, 472, 488, 687], [71, 190, 247, 278, 367, 440, 458, 562, 602, 701], [115, 201, 314, 361, 443, 484, 505, 590, 681, 705], [124, 269, 425, 434, 469, 519, 577, 655, 727, 770], [229, 270, 446, 475, 569, 672, 717, 781, 803, 870], [290, 424, 459, 493, 642, 744, 765, 837, 857, 916]], [ [24, 34, 48, 59, 76, 123, 129, 184, 306, 358], [35, 63, 69, 84, 142, 186, 237, 338, 393, 436], [52, 65, 113, 114, 194, 250, 341, 369, 402, 595], [89, 121, 207, 234, 292, 331, 376, 460, 470, 635], [120, 216, 249, 311, 318, 414, 455, 486, 557, 729], [143, 235, 298, 325, 439, 457, 605, 653, 679, 773], [181, 254, 349, 422, 445, 584, 648, 658, 691, 801], [197, 296, 468, 477, 515, 684, 690, 702, 779, 877], [322, 485, 501, 508, 637, 713, 745, 826, 829, 928], [360, 511, 622, 667, 748, 780, 844, 885, 889, 941]], [ [38, 44, 87, 90, 141, 187, 231, 281, 372, 431], [57, 82, 146, 166, 179, 238, 241, 403, 429, 471], [81, 111, 193, 202, 265, 299, 418, 478, 500, 615], [100, 188, 219, 295, 323, 365, 492, 529, 582, 685], [130, 228, 260, 359, 395, 539, 601, 630, 733, 742], [180, 273, 320, 406, 462, 540, 675, 694, 743, 785], [206, 319, 363, 548, 588, 594, 719, 732, 774, 811], [287, 340, 531, 561, 625, 723, 754, 810, 864, 908], [364, 489, 581, 620, 683, 786, 825, 830, 898, 935], [512, 517, 678, 771, 787, 859, 873, 888, 915, 953]], [ [42, 66, 117, 145, 160, 191, 261, 368, 390, 560], [64, 106, 154, 168, 192, 305, 366, 534, 568, 591], [86, 155, 233, 263, 275, 380, 526, 543, 616, 666], [110, 214, 289, 301, 342, 473, 592, 618, 665, 728], [150, 246, 313, 408, 444, 573, 638, 735, 740, 750], [200, 370, 398, 415, 465, 596, 708, 737, 753, 814], [324, 423, 450, 613, 621, 674, 758, 789, 860, 883], [346, 494, 555, 623, 662, 782, 817, 874, 894, 947], [374, 554, 604, 651, 752, 852, 866, 906, 936, 957], [587, 619, 720, 818, 821, 867, 891, 930, 938, 958]], [ [83, 93, 126, 162, 222, 262, 285, 386, 479, 571], [92, 173, 178, 224, 304, 317, 507, 535, 586, 738], [128, 196, 264, 297, 377, 542, 558, 610, 624, 804], [136, 288, 335, 371, 461, 600, 628, 644, 707, 809], [251, 302, 347, 427, 481, 632, 677, 778, 793, 822], [353, 438, 453, 514, 559, 682, 711, 813, 838, 861], [373, 452, 527, 614, 688, 689, 766, 836, 890, 910], [411, 497, 567, 724, 730, 798, 833, 882, 895, 949], [448, 566, 647, 725, 759, 858, 887, 918, 952, 970], [598, 631, 731, 828, 880, 902, 940, 965, 973, 981]], [ [108, 119, 147, 203, 276, 303, 381, 524, 556, 607], [133, 175, 182, 400, 409, 513, 523, 603, 668, 763], [139, 259, 272, 420, 437, 565, 597, 692, 761, 831], [227, 315, 396, 467, 509, 643, 663, 757, 772, 876], [309, 350, 419, 495, 549, 670, 783, 812, 845, 886], [357, 441, 521, 552, 700, 776, 806, 820, 879, 926], [397, 525, 599, 704, 714, 792, 815, 897, 924, 937], [502, 563, 611, 756, 843, 848, 868, 920, 927, 968], [518, 574, 760, 767, 881, 907, 909, 948, 976, 988], [639, 749, 805, 900, 901, 912, 963, 978, 980, 990]], [ [122, 158, 165, 240, 329, 388, 449, 547, 612, 697], [157, 244, 356, 463, 536, 636, 654, 693, 699, 795], [169, 279, 447, 530, 576, 649, 680, 790, 791, 846], [271, 345, 480, 533, 650, 656, 736, 799, 849, 903], [333, 510, 516, 669, 676, 746, 841, 850, 875, 933], [410, 579, 608, 703, 716, 819, 896, 921, 923, 964], [432, 583, 659, 741, 842, 863, 914, 931, 954, 977], [593, 641, 722, 784, 878, 919, 925, 960, 961, 985], [646, 706, 808, 853, 929, 951, 967, 975, 984, 993], [652, 816, 835, 917, 946, 955, 972, 987, 996, 998]], [ [132, 218, 225, 337, 379, 491, 550, 585, 673, 807], [236, 266, 426, 482, 661, 686, 734, 755, 802, 834], [348, 401, 483, 541, 671, 751, 797, 824, 839, 904], [362, 474, 626, 627, 747, 777, 800, 832, 851, 943], [428, 546, 710, 718, 796, 827, 855, 892, 899, 969], [520, 660, 715, 794, 823, 854, 913, 934, 942, 982], [564, 664, 762, 862, 869, 884, 944, 945, 974, 991], [640, 764, 865, 871, 893, 939, 959, 962, 986, 995], [695, 775, 872, 905, 932, 966, 979, 983, 989, 997], [769, 847, 922, 950, 956, 971, 992, 994, 999, 1000]]] --------------------------------------------------- [[[1, 2, 6, 21, 28, 45, 48, 65, 103, 128], [3, 4, 23, 33, 35, 72, 85, 86, 135, 158], [5, 11, 31, 63, 91, 107, 170, 184, 236, 334], [7, 20, 61, 102, 133, 140, 176, 257, 260, 479], [14, 46, 115, 152, 177, 227, 270, 310, 345, 485], [15, 113, 118, 178, 187, 244, 288, 349, 433, 567], [55, 127, 136, 195, 218, 289, 321, 387, 483, 585], [76, 171, 205, 291, 327, 366, 442, 506, 514, 647], [123, 175, 217, 296, 396, 401, 503, 534, 555, 695], [145, 220, 254, 298, 466, 509, 674, 714, 762, 774]], [ [8, 12, 26, 39, 54, 77, 92, 132, 141, 311], [13, 16, 36, 40, 111, 165, 213, 234, 246, 341], [18, 24, 70, 83, 131, 181, 258, 295, 342, 374], [19, 47, 100, 180, 189, 202, 266, 324, 451, 532], [53, 57, 143, 190, 212, 240, 276, 408, 498, 580], [74, 146, 198, 239, 299, 350, 353, 454, 587, 632], [126, 154, 207, 285, 316, 371, 415, 586, 588, 679], [142, 199, 252, 292, 400, 427, 538, 608, 698, 792], [162, 277, 319, 352, 471, 577, 619, 669, 787, 868], [208, 329, 459, 467, 486, 603, 715, 767, 832, 927]], [ [9, 22, 41, 50, 60, 82, 134, 153, 243, 356], [17, 38, 51, 69, 129, 188, 214, 300, 330, 383], [32, 42, 96, 120, 155, 193, 261, 322, 367, 388], [66, 71, 122, 194, 238, 249, 360, 395, 462, 593], [81, 88, 172, 251, 279, 344, 397, 425, 558, 650], [98, 159, 206, 303, 338, 358, 439, 576, 602, 769], [130, 169, 297, 305, 340, 378, 469, 592, 631, 797], [157, 219, 304, 326, 452, 526, 570, 700, 702, 843], [192, 375, 379, 484, 492, 626, 696, 731, 829, 880], [245, 429, 548, 614, 671, 680, 771, 803, 916, 930]], [ [10, 37, 44, 73, 93, 125, 183, 197, 253, 405], [29, 56, 79, 90, 147, 191, 312, 406, 409, 493], [34, 80, 101, 166, 185, 200, 364, 407, 432, 518], [68, 108, 161, 204, 343, 368, 373, 505, 553, 600], [89, 112, 203, 287, 346, 422, 444, 531, 559, 668], [121, 201, 264, 348, 351, 455, 491, 596, 635, 773], [151, 210, 335, 363, 448, 582, 615, 646, 690, 812], [223, 333, 369, 449, 488, 681, 686, 710, 811, 855], [255, 376, 437, 543, 594, 704, 739, 793, 834, 902], [323, 547, 628, 673, 691, 738, 798, 908, 920, 943]], [ [25, 58, 67, 94, 95, 138, 222, 281, 386, 457], [30, 87, 137, 167, 179, 272, 359, 418, 461, 516], [52, 106, 149, 229, 256, 336, 403, 456, 502, 658], [84, 109, 268, 308, 377, 393, 473, 522, 568, 660], [116, 211, 271, 315, 390, 460, 561, 597, 651, 697], [150, 237, 294, 391, 482, 529, 610, 641, 763, 776], [230, 242, 337, 419, 630, 654, 678, 764, 810, 882], [331, 398, 470, 636, 644, 683, 721, 796, 848, 891], [392, 431, 495, 642, 677, 736, 785, 851, 894, 936], [533, 583, 672, 756, 786, 800, 861, 937, 942, 957]], [ [27, 59, 78, 97, 99, 224, 283, 404, 446, 458], [62, 110, 168, 209, 248, 274, 417, 481, 539, 661], [104, 160, 265, 286, 365, 384, 447, 535, 563, 687], [156, 173, 269, 317, 445, 450, 504, 589, 719, 753], [164, 250, 302, 357, 477, 536, 609, 624, 732, 775], [226, 282, 355, 416, 489, 573, 611, 729, 819, 858], [231, 372, 426, 541, 648, 659, 748, 791, 827, 898], [389, 436, 530, 649, 663, 693, 781, 833, 857, 922], [421, 496, 599, 701, 747, 779, 830, 872, 939, 958], [634, 688, 790, 804, 837, 906, 912, 940, 949, 982]], [ [43, 75, 114, 139, 144, 263, 339, 500, 524, 546], [105, 117, 221, 262, 307, 318, 434, 519, 560, 720], [124, 163, 275, 314, 381, 441, 554, 616, 620, 784], [215, 232, 284, 325, 512, 557, 629, 689, 795, 801], [225, 309, 382, 463, 513, 637, 666, 707, 802, 828], [293, 410, 428, 508, 605, 656, 718, 777, 840, 878], [394, 490, 542, 618, 705, 727, 749, 853, 873, 905], [430, 540, 591, 653, 735, 746, 822, 863, 931, 945], [523, 569, 627, 723, 752, 835, 900, 917, 955, 964], [667, 768, 808, 839, 849, 911, 938, 967, 980, 986]], [ [49, 119, 216, 228, 259, 313, 420, 507, 528, 709], [174, 196, 235, 328, 414, 423, 435, 556, 726, 825], [241, 280, 332, 370, 517, 550, 566, 643, 761, 860], [273, 301, 354, 476, 521, 604, 703, 725, 816, 862], [385, 465, 478, 480, 562, 645, 766, 783, 821, 867], [440, 510, 537, 625, 655, 744, 820, 847, 890, 913], [499, 571, 607, 684, 754, 805, 869, 884, 892, 915], [520, 590, 617, 755, 814, 823, 893, 904, 948, 954], [525, 699, 741, 789, 824, 888, 921, 933, 974, 983], [734, 807, 845, 871, 889, 935, 960, 979, 984, 991]], [ [64, 148, 278, 362, 474, 475, 487, 581, 622, 759], [186, 267, 347, 438, 511, 574, 601, 670, 788, 895], [290, 306, 399, 544, 565, 579, 606, 740, 817, 903], [320, 413, 443, 549, 633, 708, 711, 760, 826, 923], [402, 564, 584, 657, 713, 765, 782, 806, 856, 926], [472, 613, 662, 692, 743, 770, 859, 870, 907, 944], [527, 652, 694, 751, 794, 809, 877, 885, 918, 965], [551, 665, 757, 778, 844, 846, 910, 925, 956, 977], [623, 733, 831, 850, 883, 919, 924, 947, 978, 989], [737, 818, 875, 896, 914, 969, 970, 981, 995, 997]], [ [182, 233, 412, 424, 494, 552, 612, 638, 758, 865], [247, 361, 464, 515, 545, 621, 682, 728, 876, 901], [380, 453, 572, 575, 578, 640, 722, 750, 909, 959], [411, 468, 639, 676, 717, 745, 838, 841, 929, 961], [497, 595, 664, 716, 742, 836, 854, 881, 941, 973], [501, 675, 712, 724, 780, 852, 899, 934, 950, 992], [598, 685, 813, 815, 879, 951, 953, 968, 987, 993], [706, 730, 842, 866, 897, 952, 962, 971, 990, 994], [772, 864, 886, 887, 932, 963, 966, 976, 996, 999], [799, 874, 928, 946, 972, 975, 985, 988, 998, 1000]]] --------------------------------------------------- [[[1, 4, 5, 19, 36, 54, 81, 115, 130, 155], [8, 11, 17, 26, 49, 72, 89, 125, 148, 191], [12, 14, 28, 45, 68, 107, 170, 174, 229, 284], [23, 30, 38, 60, 106, 135, 172, 221, 245, 407], [31, 33, 56, 71, 139, 161, 199, 369, 413, 432], [37, 66, 93, 112, 145, 274, 320, 391, 448, 469], [48, 95, 111, 160, 228, 359, 379, 392, 486, 622], [57, 96, 144, 235, 272, 384, 471, 526, 561, 721], [117, 126, 286, 290, 329, 434, 475, 590, 657, 740], [157, 192, 305, 308, 334, 502, 528, 606, 700, 783]], [ [2, 7, 9, 42, 75, 100, 167, 168, 232, 238], [10, 22, 35, 44, 76, 127, 197, 289, 314, 335], [18, 34, 46, 113, 129, 182, 224, 331, 373, 403], [41, 64, 69, 128, 176, 184, 239, 353, 402, 523], [50, 78, 90, 147, 190, 268, 346, 397, 476, 541], [52, 87, 109, 254, 269, 317, 463, 494, 544, 548], [63, 102, 118, 261, 365, 380, 470, 522, 605, 641], [162, 211, 273, 292, 406, 504, 572, 665, 701, 732], [173, 267, 297, 313, 411, 538, 635, 676, 711, 808], [212, 330, 398, 490, 530, 542, 646, 688, 768, 835]], [ [3, 13, 32, 67, 79, 132, 180, 193, 325, 342], [16, 24, 53, 88, 143, 166, 207, 332, 378, 399], [20, 47, 85, 120, 177, 215, 236, 387, 447, 465], [51, 80, 101, 141, 220, 244, 285, 429, 480, 570], [55, 83, 140, 149, 265, 271, 492, 501, 589, 686], [74, 175, 205, 256, 350, 401, 495, 576, 592, 709], [137, 206, 247, 303, 368, 440, 551, 596, 678, 729], [181, 218, 326, 352, 424, 607, 643, 672, 770, 820], [217, 319, 377, 435, 437, 609, 650, 734, 777, 857], [321, 388, 450, 491, 639, 716, 773, 812, 838, 878]], [ [6, 25, 43, 99, 131, 153, 200, 242, 339, 445], [27, 58, 98, 114, 152, 243, 282, 425, 458, 557], [62, 94, 136, 154, 185, 259, 360, 433, 524, 587], [84, 124, 158, 189, 250, 336, 386, 520, 533, 671], [116, 151, 183, 204, 294, 347, 511, 599, 613, 715], [169, 178, 219, 315, 418, 479, 562, 621, 713, 813], [198, 227, 311, 322, 559, 598, 652, 666, 756, 815], [258, 270, 371, 390, 571, 680, 705, 741, 772, 839], [275, 370, 421, 585, 601, 692, 706, 775, 855, 895], [328, 452, 625, 636, 714, 753, 829, 858, 877, 954]], [ [15, 29, 73, 105, 201, 252, 253, 341, 423, 457], [40, 65, 108, 146, 216, 277, 343, 478, 512, 568], [82, 103, 142, 186, 287, 345, 400, 488, 581, 727], [92, 156, 195, 214, 316, 358, 436, 553, 595, 788], [119, 213, 278, 298, 323, 374, 532, 626, 649, 800], [196, 296, 338, 442, 482, 577, 620, 707, 752, 832], [234, 300, 348, 505, 564, 624, 654, 712, 776, 854], [260, 344, 477, 515, 619, 724, 742, 744, 831, 873], [349, 468, 537, 637, 702, 781, 785, 821, 868, 918], [382, 546, 687, 708, 718, 856, 869, 907, 939, 958]], [ [21, 61, 86, 123, 208, 280, 310, 367, 438, 623], [59, 70, 121, 163, 262, 301, 461, 484, 539, 629], [97, 165, 226, 246, 299, 456, 509, 555, 603, 728], [150, 203, 248, 281, 396, 514, 525, 560, 617, 799], [159, 241, 354, 462, 496, 531, 632, 720, 731, 844], [251, 355, 372, 549, 582, 628, 690, 784, 809, 851], [279, 366, 454, 586, 597, 670, 754, 807, 846, 870], [312, 446, 567, 653, 682, 748, 804, 843, 871, 885], [362, 510, 648, 703, 790, 795, 834, 879, 931, 935], [489, 610, 778, 802, 863, 874, 887, 948, 970, 982]], [ [39, 77, 104, 179, 288, 306, 363, 393, 443, 655], [133, 171, 225, 266, 327, 414, 527, 543, 631, 658], [188, 233, 263, 276, 416, 513, 573, 618, 656, 801], [202, 264, 309, 337, 444, 535, 614, 660, 668, 806], [209, 307, 356, 473, 545, 569, 664, 739, 797, 861], [255, 420, 464, 558, 633, 667, 750, 814, 853, 915], [381, 427, 566, 602, 645, 745, 763, 828, 875, 927], [412, 593, 612, 661, 738, 780, 845, 883, 929, 957], [428, 616, 675, 736, 811, 816, 848, 924, 934, 966], [552, 699, 796, 841, 900, 932, 936, 955, 971, 985]], [ [91, 122, 134, 210, 302, 357, 422, 460, 483, 691], [164, 223, 293, 375, 417, 507, 534, 580, 722, 751], [222, 291, 295, 385, 431, 516, 611, 684, 758, 803], [237, 304, 376, 455, 554, 578, 693, 737, 759, 862], [240, 361, 474, 583, 642, 663, 757, 819, 860, 904], [283, 441, 499, 634, 674, 749, 824, 880, 889, 919], [389, 529, 615, 689, 719, 766, 837, 890, 923, 952], [466, 594, 685, 694, 760, 794, 866, 937, 945, 972], [508, 681, 698, 810, 872, 897, 916, 938, 956, 976], [704, 798, 825, 842, 942, 946, 951, 959, 981, 990]], [ [110, 138, 324, 364, 410, 451, 493, 604, 679, 764], [187, 333, 395, 472, 487, 563, 574, 651, 755, 833], [231, 340, 405, 485, 517, 647, 669, 774, 818, 884], [257, 409, 415, 503, 588, 696, 726, 817, 840, 899], [318, 449, 500, 638, 697, 717, 771, 865, 903, 922], [426, 498, 547, 644, 743, 826, 852, 892, 912, 933], [453, 584, 683, 765, 787, 849, 894, 905, 926, 962], [497, 659, 761, 779, 791, 886, 920, 950, 963, 991], [723, 827, 864, 881, 888, 911, 947, 974, 979, 993], [769, 896, 921, 930, 949, 953, 960, 980, 994, 998]], [ [194, 249, 419, 506, 536, 550, 575, 733, 793, 898], [230, 404, 430, 518, 540, 591, 673, 735, 850, 902], [351, 408, 459, 519, 579, 695, 725, 836, 876, 925], [383, 467, 481, 600, 630, 747, 786, 867, 891, 944], [394, 521, 565, 710, 762, 767, 822, 913, 964, 965], [439, 556, 627, 746, 823, 847, 910, 928, 969, 978], [608, 640, 730, 792, 859, 906, 917, 941, 973, 989], [662, 677, 789, 882, 901, 914, 961, 977, 984, 996], [782, 830, 893, 909, 940, 943, 967, 988, 995, 999], [805, 908, 968, 975, 983, 986, 987, 992, 997, 1000]]] --------------------------------------------------- [[[1, 2, 5, 11, 22, 31, 48, 66, 99, 176], [3, 12, 14, 24, 52, 53, 62, 83, 203, 270], [7, 16, 33, 35, 72, 95, 111, 140, 245, 335], [13, 25, 40, 51, 84, 126, 198, 201, 254, 365], [15, 30, 41, 76, 151, 163, 296, 312, 353, 433], [38, 63, 88, 106, 224, 275, 325, 333, 442, 601], [39, 92, 133, 148, 248, 277, 332, 452, 536, 640], [57, 129, 183, 193, 285, 367, 401, 534, 609, 665], [58, 240, 258, 297, 385, 403, 435, 607, 661, 686], [105, 404, 425, 441, 469, 471, 488, 734, 812, 867]], [ [4, 6, 17, 36, 43, 80, 81, 108, 186, 239], [9, 34, 46, 47, 107, 114, 116, 160, 308, 359], [18, 37, 64, 109, 134, 181, 197, 226, 416, 436], [21, 61, 113, 164, 179, 200, 249, 265, 453, 564], [42, 75, 121, 187, 215, 235, 327, 347, 459, 574], [44, 94, 171, 214, 306, 315, 402, 439, 586, 630], [65, 155, 190, 251, 337, 376, 426, 475, 591, 641], [97, 194, 260, 321, 414, 489, 496, 647, 657, 711], [124, 262, 400, 513, 550, 559, 585, 691, 731, 835], [210, 417, 504, 514, 567, 578, 637, 739, 863, 886]], [ [8, 19, 32, 69, 87, 119, 125, 157, 330, 408], [20, 45, 74, 118, 143, 146, 153, 177, 360, 418], [29, 77, 86, 138, 166, 225, 231, 255, 422, 460], [49, 115, 128, 178, 192, 268, 350, 355, 465, 577], [68, 139, 161, 195, 264, 288, 390, 392, 590, 618], [120, 142, 229, 243, 316, 323, 490, 531, 631, 707], [149, 174, 317, 371, 424, 481, 523, 579, 632, 719], [169, 271, 324, 412, 478, 501, 547, 649, 659, 858], [189, 331, 458, 522, 557, 623, 697, 793, 813, 884], [378, 470, 518, 572, 652, 727, 871, 879, 882, 898]], [ [10, 54, 70, 104, 137, 180, 208, 241, 348, 445], [23, 59, 79, 130, 170, 221, 259, 305, 440, 473], [73, 93, 122, 158, 218, 300, 322, 428, 447, 538], [78, 123, 168, 216, 230, 302, 407, 468, 526, 635], [110, 191, 242, 274, 307, 336, 467, 474, 613, 682], [127, 219, 273, 291, 343, 434, 529, 620, 672, 737], [182, 222, 319, 399, 508, 527, 580, 639, 701, 762], [188, 289, 342, 423, 533, 573, 603, 747, 763, 869], [311, 427, 476, 624, 648, 700, 740, 840, 862, 923], [409, 552, 566, 689, 738, 769, 889, 906, 912, 944]], [ [26, 60, 96, 136, 165, 213, 223, 284, 362, 449], [28, 67, 141, 184, 202, 227, 313, 430, 454, 542], [82, 144, 154, 234, 253, 346, 366, 462, 498, 558], [103, 205, 212, 294, 344, 406, 493, 516, 535, 736], [135, 220, 244, 334, 466, 477, 500, 575, 660, 751], [156, 237, 283, 383, 472, 497, 570, 644, 706, 765], [246, 290, 386, 443, 537, 584, 651, 708, 745, 814], [286, 295, 506, 532, 589, 685, 721, 761, 836, 878], [398, 505, 596, 642, 730, 733, 778, 854, 890, 927], [487, 678, 684, 702, 827, 830, 897, 908, 947, 954]], [ [27, 71, 102, 152, 263, 266, 303, 338, 486, 551], [50, 89, 206, 267, 304, 363, 420, 492, 530, 565], [91, 167, 228, 276, 329, 397, 461, 549, 634, 767], [145, 238, 298, 370, 419, 438, 517, 571, 655, 772], [172, 278, 314, 388, 495, 525, 548, 598, 726, 799], [207, 281, 368, 393, 555, 568, 592, 676, 764, 802], [279, 326, 389, 515, 569, 626, 724, 773, 774, 821], [369, 451, 524, 610, 663, 729, 780, 832, 868, 880], [446, 614, 654, 675, 781, 842, 850, 885, 922, 939], [563, 695, 699, 768, 838, 902, 907, 917, 968, 971]], [ [55, 85, 162, 211, 310, 328, 340, 356, 539, 716], [90, 173, 236, 345, 374, 380, 437, 502, 560, 758], [98, 199, 301, 373, 429, 503, 600, 628, 668, 779], [147, 250, 351, 375, 499, 512, 636, 713, 775, 782], [175, 309, 379, 511, 588, 594, 688, 722, 800, 806], [217, 339, 494, 595, 597, 643, 750, 789, 801, 849], [287, 431, 540, 611, 679, 749, 756, 804, 899, 931], [384, 528, 562, 653, 743, 798, 837, 887, 949, 969], [455, 616, 696, 784, 797, 853, 888, 910, 961, 980], [587, 710, 834, 873, 901, 905, 915, 948, 981, 993]], [ [56, 100, 196, 269, 341, 381, 464, 543, 629, 720], [131, 232, 280, 352, 415, 457, 520, 545, 645, 771], [132, 256, 349, 450, 479, 554, 612, 705, 712, 792], [185, 257, 463, 483, 602, 627, 656, 766, 787, 807], [247, 318, 491, 561, 619, 673, 746, 790, 818, 856], [252, 377, 519, 599, 703, 725, 795, 810, 847, 864], [320, 541, 617, 674, 755, 759, 809, 883, 932, 952], [395, 553, 677, 754, 819, 870, 875, 893, 951, 970], [581, 667, 728, 833, 852, 900, 911, 928, 963, 989], [650, 855, 894, 916, 919, 930, 959, 962, 982, 996]], [ [101, 112, 292, 354, 387, 396, 507, 622, 670, 741], [150, 233, 361, 444, 456, 485, 606, 681, 805, 817], [204, 261, 405, 480, 484, 576, 680, 723, 808, 857], [209, 272, 544, 556, 625, 646, 693, 794, 826, 881], [299, 372, 546, 633, 692, 753, 786, 823, 861, 934], [364, 521, 593, 671, 718, 757, 822, 845, 913, 966], [394, 582, 704, 744, 777, 785, 903, 936, 955, 983], [510, 709, 752, 839, 851, 876, 909, 953, 957, 988], [658, 742, 783, 841, 874, 925, 950, 956, 972, 994], [664, 866, 920, 935, 938, 943, 975, 978, 986, 997]], [ [117, 293, 357, 413, 509, 604, 615, 662, 694, 748], [159, 358, 410, 482, 583, 608, 714, 824, 825, 872], [282, 411, 432, 621, 690, 698, 788, 829, 831, 896], [382, 421, 669, 687, 735, 770, 803, 846, 865, 940], [391, 605, 715, 732, 776, 796, 828, 892, 941, 974], [448, 666, 760, 811, 815, 843, 895, 937, 942, 985], [638, 717, 820, 848, 859, 860, 904, 958, 964, 990], [683, 791, 844, 877, 921, 926, 945, 965, 976, 991], [816, 891, 924, 929, 946, 973, 977, 979, 995, 999], [914, 918, 933, 960, 967, 984, 987, 992, 998, 1000]]] --------------------------------------------------- [[[1, 2, 3, 6, 11, 15, 56, 114, 161, 208], [4, 7, 9, 23, 60, 79, 83, 165, 200, 214], [16, 22, 43, 49, 61, 118, 123, 187, 210, 343], [17, 40, 50, 77, 132, 158, 175, 250, 388, 396], [19, 62, 69, 95, 137, 194, 197, 259, 393, 465], [42, 67, 85, 141, 143, 215, 247, 325, 410, 521], [44, 71, 96, 173, 243, 274, 382, 403, 427, 606], [59, 93, 107, 191, 287, 339, 466, 474, 484, 608], [94, 124, 154, 203, 305, 431, 472, 590, 631, 645], [170, 217, 265, 349, 429, 469, 562, 690, 700, 792]], [ [5, 18, 26, 29, 51, 76, 86, 149, 190, 231], [8, 24, 36, 65, 73, 110, 131, 184, 283, 433], [21, 33, 48, 74, 126, 144, 242, 285, 373, 461], [45, 68, 70, 89, 209, 227, 256, 318, 392, 496], [66, 80, 103, 183, 213, 252, 275, 334, 505, 554], [82, 98, 113, 235, 253, 272, 312, 530, 545, 693], [116, 136, 189, 315, 333, 378, 444, 566, 623, 762], [122, 224, 244, 319, 354, 479, 488, 602, 684, 807], [186, 255, 268, 413, 537, 548, 563, 669, 741, 850], [303, 329, 400, 561, 573, 633, 679, 711, 810, 880]], [ [10, 20, 34, 47, 64, 78, 139, 220, 290, 358], [12, 30, 54, 75, 88, 128, 225, 230, 341, 434], [25, 41, 92, 104, 182, 188, 270, 323, 425, 552], [53, 106, 145, 176, 216, 233, 350, 417, 426, 596], [81, 108, 155, 199, 316, 340, 408, 419, 624, 698], [119, 125, 198, 301, 362, 422, 453, 559, 635, 729], [171, 185, 266, 357, 371, 462, 529, 604, 678, 837], [241, 277, 294, 470, 517, 568, 591, 643, 691, 849], [248, 353, 359, 501, 611, 627, 662, 677, 769, 852], [346, 445, 446, 580, 661, 667, 712, 719, 875, 899]], [ [13, 28, 35, 52, 111, 164, 205, 258, 291, 467], [14, 37, 84, 115, 178, 196, 267, 279, 438, 553], [38, 63, 102, 117, 193, 271, 298, 386, 439, 666], [97, 129, 150, 281, 321, 360, 430, 456, 457, 735], [99, 163, 212, 297, 376, 387, 483, 509, 659, 752], [151, 195, 228, 344, 402, 468, 523, 609, 704, 767], [172, 219, 269, 391, 404, 518, 536, 652, 757, 844], [263, 296, 384, 494, 540, 581, 648, 707, 798, 870], [322, 377, 424, 508, 655, 681, 723, 730, 829, 939], [347, 460, 617, 637, 670, 782, 820, 843, 903, 942]], [ [27, 46, 120, 127, 148, 167, 239, 374, 485, 520], [39, 87, 147, 159, 240, 251, 304, 441, 510, 639], [55, 112, 160, 174, 310, 337, 355, 478, 522, 676], [101, 146, 180, 300, 364, 366, 448, 564, 647, 802], [156, 211, 238, 345, 397, 406, 506, 616, 688, 812], [222, 264, 306, 363, 463, 492, 531, 734, 749, 847], [229, 289, 412, 452, 471, 638, 649, 745, 799, 859], [309, 351, 432, 515, 550, 680, 715, 748, 846, 934], [327, 401, 480, 658, 720, 776, 821, 841, 874, 940], [414, 491, 625, 763, 774, 854, 858, 917, 922, 959]], [ [31, 91, 142, 169, 204, 206, 278, 420, 495, 544], [57, 100, 179, 201, 280, 314, 330, 476, 594, 672], [58, 138, 181, 236, 335, 356, 454, 577, 653, 713], [135, 166, 276, 332, 398, 418, 493, 640, 702, 833], [202, 257, 307, 440, 498, 528, 539, 657, 783, 857], [232, 284, 361, 504, 525, 572, 587, 756, 797, 866], [249, 395, 436, 511, 558, 685, 731, 773, 828, 877], [313, 473, 481, 546, 612, 697, 777, 789, 869, 946], [352, 543, 567, 674, 768, 824, 831, 873, 915, 964], [556, 618, 675, 771, 793, 883, 896, 919, 944, 990]], [ [32, 105, 207, 254, 261, 299, 435, 503, 605, 614], [90, 134, 226, 295, 380, 442, 489, 589, 692, 728], [121, 152, 246, 370, 415, 570, 584, 600, 721, 755], [168, 237, 308, 421, 475, 586, 603, 673, 787, 840], [234, 260, 342, 477, 516, 592, 644, 696, 803, 878], [288, 385, 482, 551, 588, 628, 718, 818, 845, 900], [311, 459, 513, 565, 620, 732, 743, 825, 860, 953], [447, 502, 569, 598, 701, 751, 790, 904, 929, 954], [514, 571, 671, 733, 775, 853, 882, 909, 936, 966], [613, 630, 686, 839, 888, 898, 901, 945, 967, 993]], [ [72, 133, 223, 338, 379, 399, 490, 583, 629, 806], [109, 157, 262, 368, 437, 542, 555, 636, 705, 863], [140, 192, 348, 381, 500, 601, 626, 642, 725, 890], [177, 302, 365, 507, 524, 646, 708, 746, 796, 923], [292, 317, 375, 557, 575, 663, 739, 815, 872, 941], [320, 416, 526, 593, 632, 683, 765, 830, 887, 952], [390, 487, 582, 595, 634, 736, 865, 879, 907, 955], [486, 541, 597, 641, 759, 855, 881, 913, 948, 979], [576, 687, 740, 805, 856, 868, 884, 914, 974, 981], [761, 781, 784, 864, 891, 906, 911, 963, 980, 996]], [ [130, 153, 286, 372, 449, 534, 538, 622, 682, 836], [162, 221, 389, 464, 512, 549, 607, 660, 706, 893], [218, 326, 407, 519, 535, 610, 656, 753, 800, 920], [336, 369, 450, 527, 619, 664, 758, 794, 842, 951], [367, 383, 532, 650, 654, 754, 795, 816, 876, 957], [428, 443, 579, 689, 710, 770, 823, 848, 908, 969], [458, 497, 585, 709, 744, 814, 889, 927, 932, 977], [560, 621, 699, 834, 851, 916, 930, 938, 982, 984], [717, 722, 804, 838, 925, 935, 949, 970, 986, 995], [766, 827, 886, 892, 965, 972, 975, 983, 991, 999]], [ [245, 273, 328, 409, 599, 615, 714, 738, 760, 885], [282, 293, 405, 547, 668, 703, 737, 779, 808, 897], [324, 331, 411, 651, 716, 727, 742, 791, 819, 924], [394, 423, 574, 665, 726, 772, 788, 861, 862, 958], [451, 499, 695, 747, 750, 778, 801, 871, 921, 968], [455, 694, 724, 786, 809, 822, 894, 910, 933, 985], [533, 780, 811, 826, 895, 902, 918, 947, 950, 989], [578, 813, 817, 835, 912, 926, 931, 960, 987, 994], [764, 832, 867, 905, 943, 956, 961, 976, 988, 998], [785, 928, 937, 962, 971, 973, 978, 992, 997, 1000]]] --------------------------------------------------- [[[1, 7, 16, 26, 30, 46, 58, 64, 83, 222], [2, 10, 18, 28, 45, 52, 90, 117, 139, 337], [4, 13, 29, 36, 104, 151, 159, 169, 288, 391], [8, 48, 72, 74, 119, 180, 231, 236, 334, 445], [11, 62, 77, 128, 193, 223, 269, 336, 390, 497], [34, 68, 108, 137, 194, 285, 323, 418, 496, 543], [44, 106, 134, 190, 220, 308, 384, 423, 529, 642], [118, 145, 173, 204, 305, 328, 491, 545, 568, 738], [131, 160, 191, 363, 483, 509, 615, 617, 623, 745], [149, 198, 326, 544, 593, 652, 670, 690, 696, 877]], [ [3, 12, 21, 37, 49, 53, 124, 184, 266, 320], [9, 17, 31, 61, 86, 111, 136, 234, 277, 433], [24, 43, 54, 79, 107, 157, 227, 289, 335, 510], [33, 76, 97, 138, 189, 210, 267, 393, 438, 527], [38, 93, 133, 195, 203, 252, 358, 410, 474, 586], [75, 113, 150, 200, 294, 314, 386, 477, 578, 665], [82, 120, 163, 248, 325, 414, 504, 505, 603, 722], [135, 162, 260, 292, 453, 498, 540, 627, 646, 803], [213, 240, 268, 377, 494, 602, 668, 677, 715, 822], [306, 406, 500, 575, 637, 691, 769, 770, 878, 902]], [ [5, 15, 25, 56, 65, 70, 176, 226, 270, 322], [19, 41, 51, 69, 95, 122, 188, 259, 369, 458], [27, 47, 71, 96, 153, 185, 230, 338, 374, 539], [35, 87, 110, 154, 217, 254, 362, 439, 446, 567], [89, 123, 147, 224, 291, 321, 383, 534, 548, 589], [94, 141, 158, 237, 300, 370, 411, 541, 629, 693], [98, 207, 244, 249, 385, 512, 530, 597, 636, 793], [165, 271, 339, 415, 507, 523, 595, 639, 686, 833], [283, 347, 366, 440, 585, 616, 676, 787, 824, 861], [351, 462, 582, 638, 643, 711, 789, 798, 896, 958]], [ [6, 20, 50, 57, 88, 140, 232, 299, 324, 341], [23, 63, 66, 102, 148, 168, 241, 330, 376, 492], [32, 67, 121, 125, 218, 272, 357, 403, 427, 546], [60, 92, 142, 205, 229, 349, 375, 475, 531, 588], [105, 161, 258, 301, 313, 353, 398, 556, 651, 660], [127, 211, 278, 319, 327, 444, 466, 560, 687, 742], [170, 221, 297, 332, 468, 526, 570, 671, 704, 797], [208, 295, 432, 457, 536, 619, 641, 728, 774, 839], [307, 413, 517, 580, 620, 701, 741, 806, 851, 875], [481, 511, 608, 674, 695, 726, 791, 829, 909, 964]], [ [14, 40, 80, 99, 112, 201, 235, 331, 333, 350], [39, 103, 130, 166, 171, 255, 284, 371, 394, 518], [42, 126, 179, 212, 257, 345, 409, 442, 550, 663], [100, 164, 199, 246, 318, 402, 416, 478, 669, 675], [175, 275, 279, 360, 417, 424, 486, 581, 744, 796], [214, 286, 298, 395, 460, 490, 493, 610, 761, 814], [219, 293, 359, 422, 552, 573, 648, 717, 786, 826], [251, 296, 502, 533, 601, 630, 699, 760, 788, 891], [343, 436, 559, 644, 721, 766, 828, 853, 855, 931], [489, 515, 666, 679, 736, 772, 864, 899, 946, 976]], [ [22, 73, 81, 144, 167, 233, 312, 408, 461, 572], [55, 115, 156, 215, 247, 263, 365, 451, 598, 606], [114, 155, 187, 256, 355, 405, 448, 479, 613, 678], [116, 197, 228, 261, 380, 435, 454, 542, 698, 723], [186, 311, 348, 399, 430, 470, 547, 688, 750, 810], [245, 364, 367, 428, 467, 558, 664, 713, 765, 830], [265, 387, 431, 554, 621, 659, 680, 802, 831, 916], [361, 404, 520, 574, 730, 734, 811, 819, 857, 941], [469, 488, 612, 719, 778, 834, 860, 881, 901, 953], [499, 594, 700, 782, 867, 898, 905, 948, 956, 983]], [ [59, 85, 143, 181, 192, 239, 317, 420, 473, 654], [91, 182, 183, 250, 302, 379, 484, 538, 611, 655], 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--------------------------------------------------- [[[1, 2, 7, 9, 29, 31, 44, 53, 109, 154], [3, 5, 12, 14, 48, 66, 86, 176, 230, 316], [6, 19, 32, 41, 83, 111, 142, 195, 325, 366], [15, 28, 46, 62, 123, 137, 150, 330, 373, 482], [21, 55, 57, 81, 135, 143, 163, 351, 453, 510], [24, 60, 94, 96, 148, 187, 189, 361, 463, 535], [35, 73, 140, 141, 172, 223, 232, 424, 547, 554], [49, 80, 164, 170, 188, 251, 283, 462, 588, 728], [59, 92, 217, 293, 347, 427, 429, 557, 705, 738], [95, 214, 238, 357, 495, 498, 608, 750, 786, 812]], [ [4, 8, 25, 36, 50, 54, 84, 102, 166, 191], [10, 20, 34, 37, 65, 118, 144, 225, 239, 332], [16, 22, 47, 89, 105, 124, 267, 359, 401, 502], [30, 58, 112, 139, 173, 233, 317, 378, 423, 573], [74, 113, 133, 145, 181, 256, 364, 441, 530, 626], [77, 114, 160, 216, 227, 374, 381, 527, 568, 731], [100, 125, 190, 315, 339, 391, 430, 560, 574, 792], [178, 221, 231, 331, 353, 395, 503, 584, 614, 817], [193, 269, 296, 417, 428, 450, 604, 743, 761, 828], [220, 371, 481, 542, 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908, 931, 966, 988], [622, 699, 788, 847, 892, 928, 932, 958, 984, 998], [692, 799, 856, 873, 935, 972, 973, 979, 995, 999], [897, 926, 929, 955, 967, 983, 985, 994, 997, 1000]]] --------------------------------------------------- This took, 18.105, seconds .