-------
(12, 4374, 6) ALL distance distributions for INTERNAL point
(6, 4374, 6) has 1 possible DDs: {[6, 72, 360, 960, 1440, 1152, 384]}
(7, 4374, 6) has 6 possible DDs: {[1, 35, 147, 595, 1085, 1365, 889, 257], [2, 28, 168, 560, 1120, 1344, 896, 256], [3, 21, 189, 525, 1155, 1323, 903, 255], [4, 14, 210, 490, 1190, 1302, 910, 254], [5, 7, 231, 455, 1225, 1281, 917, 253], [6, 0, 252, 420, 1260, 1260, 924, 252]}
(8, 4374, 6) has 66 possible DDs: {[1, 0, 140, 112, 1050, 896, 1372, 624, 179], [1, 1, 133, 133, 1015, 931, 1351, 631, 178], [1, 2, 126, 154, 980, 966, 1330, 638, 177], [1, 3, 119, 175, 945, 1001, 1309, 645, 176], [1, 4, 112, 196, 910, 1036, 1288, 652, 175], [1, 5, 105, 217, 875, 1071, 1267, 659, 174], [1, 6, 98, 238, 840, 1106, 1246, 666, 173], [1, 7, 91, 259, 805, 1141, 1225, 673, 172], [1, 8, 84, 280, 770, 1176, 1204, 680, 171], [1, 9, 77, 301, 735, 1211, 1183, 687, 170], [1, 10, 70, 322, 700, 1246, 1162, 694, 169], [1, 11, 63, 343, 665, 1281, 1141, 701, 168], [1, 12, 56, 364, 630, 1316, 1120, 708, 167], [1, 13, 49, 385, 595, 1351, 1099, 715, 166], [1, 14, 42, 406, 560, 1386, 1078, 722, 165], [1, 15, 35, 427, 525, 1421, 1057, 729, 164], [1, 16, 28, 448, 490, 1456, 1036, 736, 163], [1, 17, 21, 469, 455, 1491, 1015, 743, 162], [1, 18, 14, 490, 420, 1526, 994, 750, 161], [1, 19, 7, 511, 385, 1561, 973, 757, 160], [1, 20, 0, 532, 350, 1596, 952, 764, 159], [2, 0, 112, 224, 840, 1120, 1232, 672, 172], [2, 1, 105, 245, 805, 1155, 1211, 679, 171], [2, 2, 98, 266, 770, 1190, 1190, 686, 170], [2, 3, 91, 287, 735, 1225, 1169, 693, 169], [2, 4, 84, 308, 700, 1260, 1148, 700, 168], [2, 5, 77, 329, 665, 1295, 1127, 707, 167], [2, 6, 70, 350, 630, 1330, 1106, 714, 166], [2, 7, 63, 371, 595, 1365, 1085, 721, 165], [2, 8, 56, 392, 560, 1400, 1064, 728, 164], [2, 9, 49, 413, 525, 1435, 1043, 735, 163], [2, 10, 42, 434, 490, 1470, 1022, 742, 162], [2, 11, 35, 455, 455, 1505, 1001, 749, 161], [2, 12, 28, 476, 420, 1540, 980, 756, 160], [2, 13, 21, 497, 385, 1575, 959, 763, 159], [2, 14, 14, 518, 350, 1610, 938, 770, 158], [2, 15, 7, 539, 315, 1645, 917, 777, 157], [2, 16, 0, 560, 280, 1680, 896, 784, 156], [3, 0, 84, 336, 630, 1344, 1092, 720, 165], [3, 1, 77, 357, 595, 1379, 1071, 727, 164], [3, 2, 70, 378, 560, 1414, 1050, 734, 163], [3, 3, 63, 399, 525, 1449, 1029, 741, 162], [3, 4, 56, 420, 490, 1484, 1008, 748, 161], [3, 5, 49, 441, 455, 1519, 987, 755, 160], [3, 6, 42, 462, 420, 1554, 966, 762, 159], [3, 7, 35, 483, 385, 1589, 945, 769, 158], [3, 8, 28, 504, 350, 1624, 924, 776, 157], [3, 9, 21, 525, 315, 1659, 903, 783, 156], [3, 10, 14, 546, 280, 1694, 882, 790, 155], [3, 11, 7, 567, 245, 1729, 861, 797, 154], [3, 12, 0, 588, 210, 1764, 840, 804, 153], [4, 0, 56, 448, 420, 1568, 952, 768, 158], [4, 1, 49, 469, 385, 1603, 931, 775, 157], [4, 2, 42, 490, 350, 1638, 910, 782, 156], [4, 3, 35, 511, 315, 1673, 889, 789, 155], [4, 4, 28, 532, 280, 1708, 868, 796, 154], [4, 5, 21, 553, 245, 1743, 847, 803, 153], [4, 6, 14, 574, 210, 1778, 826, 810, 152], [4, 7, 7, 595, 175, 1813, 805, 817, 151], [4, 8, 0, 616, 140, 1848, 784, 824, 150], [5, 0, 28, 560, 210, 1792, 812, 816, 151], [5, 1, 21, 581, 175, 1827, 791, 823, 150], [5, 2, 14, 602, 140, 1862, 770, 830, 149], [5, 3, 7, 623, 105, 1897, 749, 837, 148], [5, 4, 0, 644, 70, 1932, 728, 844, 147], [6, 0, 0, 672, 0, 2016, 672, 864, 144]}
(9, 4374, 6) has 575 possible DDs: {[1, 0, 18, 294, 0, 1638, 462, 1458, 369, 134], [1, 0, 19, 287, 21, 1603, 497, 1437, 376, 133], [1, 0, 20, 280, 42, 1568, 532, 1416, 383, 132], [1, 0, 21, 273, 63, 1533, 567, 1395, 390, 131], [1, 0, 22, 266, 84, 1498, 602, 1374, 397, 130], [1, 0, 23, 259, 105, 1463, 637, 1353, 404, 129], [1, 0, 24, 252, 126, 1428, 672, 1332, 411, 128], [1, 0, 25, 245, 147, 1393, 707, 1311, 418, 127], [1, 0, 26, 238, 168, 1358, 742, 1290, 425, 126], [1, 0, 27, 231, 189, 1323, 777, 1269, 432, 125], [1, 0, 28, 224, 210, 1288, 812, 1248, 439, 124], [1, 0, 29, 217, 231, 1253, 847, 1227, 446, 123], [1, 0, 30, 210, 252, 1218, 882, 1206, 453, 122], [1, 0, 31, 203, 273, 1183, 917, 1185, 460, 121], [1, 0, 32, 196, 294, 1148, 952, 1164, 467, 120], [1, 0, 33, 189, 315, 1113, 987, 1143, 474, 119], [1, 0, 34, 182, 336, 1078, 1022, 1122, 481, 118], [1, 0, 35, 175, 357, 1043, 1057, 1101, 488, 117], [1, 0, 36, 168, 378, 1008, 1092, 1080, 495, 116], [1, 0, 37, 161, 399, 973, 1127, 1059, 502, 115], [1, 0, 38, 154, 420, 938, 1162, 1038, 509, 114], [1, 0, 39, 147, 441, 903, 1197, 1017, 516, 113], [1, 0, 40, 140, 462, 868, 1232, 996, 523, 112], [1, 0, 41, 133, 483, 833, 1267, 975, 530, 111], [1, 0, 42, 126, 504, 798, 1302, 954, 537, 110], [1, 0, 43, 119, 525, 763, 1337, 933, 544, 109], [1, 0, 44, 112, 546, 728, 1372, 912, 551, 108], [1, 0, 45, 105, 567, 693, 1407, 891, 558, 107], [1, 0, 46, 98, 588, 658, 1442, 870, 565, 106], [1, 0, 47, 91, 609, 623, 1477, 849, 572, 105], [1, 0, 48, 84, 630, 588, 1512, 828, 579, 104], [1, 0, 49, 77, 651, 553, 1547, 807, 586, 103], [1, 0, 50, 70, 672, 518, 1582, 786, 593, 102], [1, 0, 51, 63, 693, 483, 1617, 765, 600, 101], [1, 0, 52, 56, 714, 448, 1652, 744, 607, 100], [1, 0, 53, 49, 735, 413, 1687, 723, 614, 99], [1, 0, 54, 42, 756, 378, 1722, 702, 621, 98], [1, 0, 55, 35, 777, 343, 1757, 681, 628, 97], [1, 0, 56, 28, 798, 308, 1792, 660, 635, 96], [1, 0, 57, 21, 819, 273, 1827, 639, 642, 95], [1, 0, 58, 14, 840, 238, 1862, 618, 649, 94], [1, 0, 59, 7, 861, 203, 1897, 597, 656, 93], [1, 0, 60, 0, 882, 168, 1932, 576, 663, 92], [1, 1, 13, 301, 7, 1603, 511, 1423, 382, 132], [1, 1, 14, 294, 28, 1568, 546, 1402, 389, 131], [1, 1, 15, 287, 49, 1533, 581, 1381, 396, 130], [1, 1, 16, 280, 70, 1498, 616, 1360, 403, 129], [1, 1, 17, 273, 91, 1463, 651, 1339, 410, 128], [1, 1, 18, 266, 112, 1428, 686, 1318, 417, 127], [1, 1, 19, 259, 133, 1393, 721, 1297, 424, 126], [1, 1, 20, 252, 154, 1358, 756, 1276, 431, 125], [1, 1, 21, 245, 175, 1323, 791, 1255, 438, 124], [1, 1, 22, 238, 196, 1288, 826, 1234, 445, 123], [1, 1, 23, 231, 217, 1253, 861, 1213, 452, 122], [1, 1, 24, 224, 238, 1218, 896, 1192, 459, 121], [1, 1, 25, 217, 259, 1183, 931, 1171, 466, 120], [1, 1, 26, 210, 280, 1148, 966, 1150, 473, 119], [1, 1, 27, 203, 301, 1113, 1001, 1129, 480, 118], [1, 1, 28, 196, 322, 1078, 1036, 1108, 487, 117], [1, 1, 29, 189, 343, 1043, 1071, 1087, 494, 116], [1, 1, 30, 182, 364, 1008, 1106, 1066, 501, 115], [1, 1, 31, 175, 385, 973, 1141, 1045, 508, 114], [1, 1, 32, 168, 406, 938, 1176, 1024, 515, 113], [1, 1, 33, 161, 427, 903, 1211, 1003, 522, 112], [1, 1, 34, 154, 448, 868, 1246, 982, 529, 111], [1, 1, 35, 147, 469, 833, 1281, 961, 536, 110], [1, 1, 36, 140, 490, 798, 1316, 940, 543, 109], [1, 1, 37, 133, 511, 763, 1351, 919, 550, 108], [1, 1, 38, 126, 532, 728, 1386, 898, 557, 107], [1, 1, 39, 119, 553, 693, 1421, 877, 564, 106], [1, 1, 40, 112, 574, 658, 1456, 856, 571, 105], [1, 1, 41, 105, 595, 623, 1491, 835, 578, 104], [1, 1, 42, 98, 616, 588, 1526, 814, 585, 103], [1, 1, 43, 91, 637, 553, 1561, 793, 592, 102], [1, 1, 44, 84, 658, 518, 1596, 772, 599, 101], [1, 1, 45, 77, 679, 483, 1631, 751, 606, 100], [1, 1, 46, 70, 700, 448, 1666, 730, 613, 99], [1, 1, 47, 63, 721, 413, 1701, 709, 620, 98], [1, 1, 48, 56, 742, 378, 1736, 688, 627, 97], [1, 1, 49, 49, 763, 343, 1771, 667, 634, 96], [1, 1, 50, 42, 784, 308, 1806, 646, 641, 95], [1, 1, 51, 35, 805, 273, 1841, 625, 648, 94], [1, 1, 52, 28, 826, 238, 1876, 604, 655, 93], [1, 1, 53, 21, 847, 203, 1911, 583, 662, 92], [1, 1, 54, 14, 868, 168, 1946, 562, 669, 91], [1, 1, 55, 7, 889, 133, 1981, 541, 676, 90], [1, 1, 56, 0, 910, 98, 2016, 520, 683, 89], [1, 2, 8, 308, 14, 1568, 560, 1388, 395, 130], [1, 2, 9, 301, 35, 1533, 595, 1367, 402, 129], [1, 2, 10, 294, 56, 1498, 630, 1346, 409, 128], [1, 2, 11, 287, 77, 1463, 665, 1325, 416, 127], [1, 2, 12, 280, 98, 1428, 700, 1304, 423, 126], [1, 2, 13, 273, 119, 1393, 735, 1283, 430, 125], [1, 2, 14, 266, 140, 1358, 770, 1262, 437, 124], [1, 2, 15, 259, 161, 1323, 805, 1241, 444, 123], [1, 2, 16, 252, 182, 1288, 840, 1220, 451, 122], [1, 2, 17, 245, 203, 1253, 875, 1199, 458, 121], [1, 2, 18, 238, 224, 1218, 910, 1178, 465, 120], [1, 2, 19, 231, 245, 1183, 945, 1157, 472, 119], [1, 2, 20, 224, 266, 1148, 980, 1136, 479, 118], [1, 2, 21, 217, 287, 1113, 1015, 1115, 486, 117], [1, 2, 22, 210, 308, 1078, 1050, 1094, 493, 116], [1, 2, 23, 203, 329, 1043, 1085, 1073, 500, 115], [1, 2, 24, 196, 350, 1008, 1120, 1052, 507, 114], [1, 2, 25, 189, 371, 973, 1155, 1031, 514, 113], [1, 2, 26, 182, 392, 938, 1190, 1010, 521, 112], [1, 2, 27, 175, 413, 903, 1225, 989, 528, 111], [1, 2, 28, 168, 434, 868, 1260, 968, 535, 110], [1, 2, 29, 161, 455, 833, 1295, 947, 542, 109], [1, 2, 30, 154, 476, 798, 1330, 926, 549, 108], [1, 2, 31, 147, 497, 763, 1365, 905, 556, 107], [1, 2, 32, 140, 518, 728, 1400, 884, 563, 106], [1, 2, 33, 133, 539, 693, 1435, 863, 570, 105], [1, 2, 34, 126, 560, 658, 1470, 842, 577, 104], [1, 2, 35, 119, 581, 623, 1505, 821, 584, 103], [1, 2, 36, 112, 602, 588, 1540, 800, 591, 102], [1, 2, 37, 105, 623, 553, 1575, 779, 598, 101], [1, 2, 38, 98, 644, 518, 1610, 758, 605, 100], [1, 2, 39, 91, 665, 483, 1645, 737, 612, 99], [1, 2, 40, 84, 686, 448, 1680, 716, 619, 98], [1, 2, 41, 77, 707, 413, 1715, 695, 626, 97], [1, 2, 42, 70, 728, 378, 1750, 674, 633, 96], [1, 2, 43, 63, 749, 343, 1785, 653, 640, 95], [1, 2, 44, 56, 770, 308, 1820, 632, 647, 94], [1, 2, 45, 49, 791, 273, 1855, 611, 654, 93], [1, 2, 46, 42, 812, 238, 1890, 590, 661, 92], [1, 2, 47, 35, 833, 203, 1925, 569, 668, 91], [1, 2, 48, 28, 854, 168, 1960, 548, 675, 90], [1, 2, 49, 21, 875, 133, 1995, 527, 682, 89], [1, 2, 50, 14, 896, 98, 2030, 506, 689, 88], [1, 2, 51, 7, 917, 63, 2065, 485, 696, 87], [1, 2, 52, 0, 938, 28, 2100, 464, 703, 86], [1, 3, 2, 322, 0, 1568, 574, 1374, 401, 129], [1, 3, 3, 315, 21, 1533, 609, 1353, 408, 128], [1, 3, 4, 308, 42, 1498, 644, 1332, 415, 127], [1, 3, 5, 301, 63, 1463, 679, 1311, 422, 126], [1, 3, 6, 294, 84, 1428, 714, 1290, 429, 125], [1, 3, 7, 287, 105, 1393, 749, 1269, 436, 124], [1, 3, 8, 280, 126, 1358, 784, 1248, 443, 123], [1, 3, 9, 273, 147, 1323, 819, 1227, 450, 122], [1, 3, 10, 266, 168, 1288, 854, 1206, 457, 121], [1, 3, 11, 259, 189, 1253, 889, 1185, 464, 120], [1, 3, 12, 252, 210, 1218, 924, 1164, 471, 119], [1, 3, 13, 245, 231, 1183, 959, 1143, 478, 118], [1, 3, 14, 238, 252, 1148, 994, 1122, 485, 117], [1, 3, 15, 231, 273, 1113, 1029, 1101, 492, 116], [1, 3, 16, 224, 294, 1078, 1064, 1080, 499, 115], [1, 3, 17, 217, 315, 1043, 1099, 1059, 506, 114], [1, 3, 18, 210, 336, 1008, 1134, 1038, 513, 113], [1, 3, 19, 203, 357, 973, 1169, 1017, 520, 112], [1, 3, 20, 196, 378, 938, 1204, 996, 527, 111], [1, 3, 21, 189, 399, 903, 1239, 975, 534, 110], [1, 3, 22, 182, 420, 868, 1274, 954, 541, 109], [1, 3, 23, 175, 441, 833, 1309, 933, 548, 108], [1, 3, 24, 168, 462, 798, 1344, 912, 555, 107], [1, 3, 25, 161, 483, 763, 1379, 891, 562, 106], [1, 3, 26, 154, 504, 728, 1414, 870, 569, 105], [1, 3, 27, 147, 525, 693, 1449, 849, 576, 104], [1, 3, 28, 140, 546, 658, 1484, 828, 583, 103], [1, 3, 29, 133, 567, 623, 1519, 807, 590, 102], [1, 3, 30, 126, 588, 588, 1554, 786, 597, 101], [1, 3, 31, 119, 609, 553, 1589, 765, 604, 100], [1, 3, 32, 112, 630, 518, 1624, 744, 611, 99], [1, 3, 33, 105, 651, 483, 1659, 723, 618, 98], [1, 3, 34, 98, 672, 448, 1694, 702, 625, 97], [1, 3, 35, 91, 693, 413, 1729, 681, 632, 96], [1, 3, 36, 84, 714, 378, 1764, 660, 639, 95], [1, 3, 37, 77, 735, 343, 1799, 639, 646, 94], [1, 3, 38, 70, 756, 308, 1834, 618, 653, 93], [1, 3, 39, 63, 777, 273, 1869, 597, 660, 92], [1, 3, 40, 56, 798, 238, 1904, 576, 667, 91], [1, 3, 41, 49, 819, 203, 1939, 555, 674, 90], [1, 3, 42, 42, 840, 168, 1974, 534, 681, 89], [1, 3, 43, 35, 861, 133, 2009, 513, 688, 88], [1, 3, 44, 28, 882, 98, 2044, 492, 695, 87], [1, 3, 45, 21, 903, 63, 2079, 471, 702, 86], [1, 3, 46, 14, 924, 28, 2114, 450, 709, 85], [1, 4, 0, 308, 70, 1428, 728, 1276, 435, 124], [1, 4, 1, 301, 91, 1393, 763, 1255, 442, 123], [1, 4, 2, 294, 112, 1358, 798, 1234, 449, 122], [1, 4, 3, 287, 133, 1323, 833, 1213, 456, 121], [1, 4, 4, 280, 154, 1288, 868, 1192, 463, 120], [1, 4, 5, 273, 175, 1253, 903, 1171, 470, 119], [1, 4, 6, 266, 196, 1218, 938, 1150, 477, 118], [1, 4, 7, 259, 217, 1183, 973, 1129, 484, 117], [1, 4, 8, 252, 238, 1148, 1008, 1108, 491, 116], [1, 4, 9, 245, 259, 1113, 1043, 1087, 498, 115], [1, 4, 10, 238, 280, 1078, 1078, 1066, 505, 114], [1, 4, 11, 231, 301, 1043, 1113, 1045, 512, 113], [1, 4, 12, 224, 322, 1008, 1148, 1024, 519, 112], [1, 4, 13, 217, 343, 973, 1183, 1003, 526, 111], [1, 4, 14, 210, 364, 938, 1218, 982, 533, 110], [1, 4, 15, 203, 385, 903, 1253, 961, 540, 109], [1, 4, 16, 196, 406, 868, 1288, 940, 547, 108], [1, 4, 17, 189, 427, 833, 1323, 919, 554, 107], [1, 4, 18, 182, 448, 798, 1358, 898, 561, 106], [1, 4, 19, 175, 469, 763, 1393, 877, 568, 105], [1, 4, 20, 168, 490, 728, 1428, 856, 575, 104], [1, 4, 21, 161, 511, 693, 1463, 835, 582, 103], [1, 4, 22, 154, 532, 658, 1498, 814, 589, 102], [1, 4, 23, 147, 553, 623, 1533, 793, 596, 101], [1, 4, 24, 140, 574, 588, 1568, 772, 603, 100], [1, 4, 25, 133, 595, 553, 1603, 751, 610, 99], [1, 4, 26, 126, 616, 518, 1638, 730, 617, 98], [1, 4, 27, 119, 637, 483, 1673, 709, 624, 97], [1, 4, 28, 112, 658, 448, 1708, 688, 631, 96], [1, 4, 29, 105, 679, 413, 1743, 667, 638, 95], [1, 4, 30, 98, 700, 378, 1778, 646, 645, 94], [1, 4, 31, 91, 721, 343, 1813, 625, 652, 93], [1, 4, 32, 84, 742, 308, 1848, 604, 659, 92], [1, 4, 33, 77, 763, 273, 1883, 583, 666, 91], [1, 4, 34, 70, 784, 238, 1918, 562, 673, 90], [1, 4, 35, 63, 805, 203, 1953, 541, 680, 89], [1, 4, 36, 56, 826, 168, 1988, 520, 687, 88], [1, 4, 37, 49, 847, 133, 2023, 499, 694, 87], [1, 4, 38, 42, 868, 98, 2058, 478, 701, 86], [1, 4, 39, 35, 889, 63, 2093, 457, 708, 85], [1, 4, 40, 28, 910, 28, 2128, 436, 715, 84], [1, 5, 0, 280, 182, 1218, 952, 1136, 483, 117], [1, 5, 1, 273, 203, 1183, 987, 1115, 490, 116], [1, 5, 2, 266, 224, 1148, 1022, 1094, 497, 115], [1, 5, 3, 259, 245, 1113, 1057, 1073, 504, 114], [1, 5, 4, 252, 266, 1078, 1092, 1052, 511, 113], [1, 5, 5, 245, 287, 1043, 1127, 1031, 518, 112], [1, 5, 6, 238, 308, 1008, 1162, 1010, 525, 111], [1, 5, 7, 231, 329, 973, 1197, 989, 532, 110], [1, 5, 8, 224, 350, 938, 1232, 968, 539, 109], [1, 5, 9, 217, 371, 903, 1267, 947, 546, 108], [1, 5, 10, 210, 392, 868, 1302, 926, 553, 107], [1, 5, 11, 203, 413, 833, 1337, 905, 560, 106], [1, 5, 12, 196, 434, 798, 1372, 884, 567, 105], [1, 5, 13, 189, 455, 763, 1407, 863, 574, 104], [1, 5, 14, 182, 476, 728, 1442, 842, 581, 103], [1, 5, 15, 175, 497, 693, 1477, 821, 588, 102], [1, 5, 16, 168, 518, 658, 1512, 800, 595, 101], [1, 5, 17, 161, 539, 623, 1547, 779, 602, 100], [1, 5, 18, 154, 560, 588, 1582, 758, 609, 99], [1, 5, 19, 147, 581, 553, 1617, 737, 616, 98], [1, 5, 20, 140, 602, 518, 1652, 716, 623, 97], [1, 5, 21, 133, 623, 483, 1687, 695, 630, 96], [1, 5, 22, 126, 644, 448, 1722, 674, 637, 95], [1, 5, 23, 119, 665, 413, 1757, 653, 644, 94], [1, 5, 24, 112, 686, 378, 1792, 632, 651, 93], [1, 5, 25, 105, 707, 343, 1827, 611, 658, 92], [1, 5, 26, 98, 728, 308, 1862, 590, 665, 91], [1, 5, 27, 91, 749, 273, 1897, 569, 672, 90], [1, 5, 28, 84, 770, 238, 1932, 548, 679, 89], [1, 5, 29, 77, 791, 203, 1967, 527, 686, 88], [1, 5, 30, 70, 812, 168, 2002, 506, 693, 87], [1, 5, 31, 63, 833, 133, 2037, 485, 700, 86], [1, 5, 32, 56, 854, 98, 2072, 464, 707, 85], [1, 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1, 7, 175, 637, 301, 1981, 469, 718, 82], [3, 1, 8, 168, 658, 266, 2016, 448, 725, 81], [3, 1, 9, 161, 679, 231, 2051, 427, 732, 80], [3, 1, 10, 154, 700, 196, 2086, 406, 739, 79], [3, 1, 11, 147, 721, 161, 2121, 385, 746, 78], [3, 1, 12, 140, 742, 126, 2156, 364, 753, 77], [3, 1, 13, 133, 763, 91, 2191, 343, 760, 76], [3, 1, 14, 126, 784, 56, 2226, 322, 767, 75], [3, 1, 15, 119, 805, 21, 2261, 301, 774, 74], [3, 2, 0, 196, 602, 336, 1960, 476, 717, 82], [3, 2, 1, 189, 623, 301, 1995, 455, 724, 81], [3, 2, 2, 182, 644, 266, 2030, 434, 731, 80], [3, 2, 3, 175, 665, 231, 2065, 413, 738, 79], [3, 2, 4, 168, 686, 196, 2100, 392, 745, 78], [3, 2, 5, 161, 707, 161, 2135, 371, 752, 77], [3, 2, 6, 154, 728, 126, 2170, 350, 759, 76], [3, 2, 7, 147, 749, 91, 2205, 329, 766, 75], [3, 2, 8, 140, 770, 56, 2240, 308, 773, 74], [3, 2, 9, 133, 791, 21, 2275, 287, 780, 73], [3, 3, 0, 168, 714, 126, 2184, 336, 765, 75], [3, 3, 1, 161, 735, 91, 2219, 315, 772, 74], [3, 3, 2, 154, 756, 56, 2254, 294, 779, 73], [3, 3, 3, 147, 777, 21, 2289, 273, 786, 72], [4, 0, 0, 168, 756, 0, 2352, 216, 810, 68]}
(10, 4374, 6) has 4803 possible DDs: {[1, 0, 0, 96, 378, 0, 2100, 0, 1539, 152, 108], [1, 0, 0, 97, 371, 21, 2065, 35, 1518, 159, 107], [1, 0, 0, 98, 364, 42, 2030, 70, 1497, 166, 106], [1, 0, 0, 99, 357, 63, 1995, 105, 1476, 173, 105], [1, 0, 0, 100, 350, 84, 1960, 140, 1455, 180, 104], [1, 0, 0, 101, 343, 105, 1925, 175, 1434, 187, 103], [1, 0, 0, 102, 336, 126, 1890, 210, 1413, 194, 102], [1, 0, 0, 103, 329, 147, 1855, 245, 1392, 201, 101], [1, 0, 0, 104, 322, 168, 1820, 280, 1371, 208, 100], [1, 0, 0, 105, 315, 189, 1785, 315, 1350, 215, 99], [1, 0, 0, 106, 308, 210, 1750, 350, 1329, 222, 98], [1, 0, 0, 107, 301, 231, 1715, 385, 1308, 229, 97], [1, 0, 0, 108, 294, 252, 1680, 420, 1287, 236, 96], [1, 0, 0, 109, 287, 273, 1645, 455, 1266, 243, 95], [1, 0, 0, 110, 280, 294, 1610, 490, 1245, 250, 94], [1, 0, 0, 111, 273, 315, 1575, 525, 1224, 257, 93], [1, 0, 0, 112, 266, 336, 1540, 560, 1203, 264, 92], [1, 0, 0, 113, 259, 357, 1505, 595, 1182, 271, 91], [1, 0, 0, 114, 252, 378, 1470, 630, 1161, 278, 90], [1, 0, 0, 115, 245, 399, 1435, 665, 1140, 285, 89], [1, 0, 0, 116, 238, 420, 1400, 700, 1119, 292, 88], [1, 0, 0, 117, 231, 441, 1365, 735, 1098, 299, 87], [1, 0, 0, 118, 224, 462, 1330, 770, 1077, 306, 86], [1, 0, 0, 119, 217, 483, 1295, 805, 1056, 313, 85], [1, 0, 0, 120, 210, 504, 1260, 840, 1035, 320, 84], [1, 0, 0, 121, 203, 525, 1225, 875, 1014, 327, 83], [1, 0, 0, 122, 196, 546, 1190, 910, 993, 334, 82], [1, 0, 0, 123, 189, 567, 1155, 945, 972, 341, 81], [1, 0, 0, 124, 182, 588, 1120, 980, 951, 348, 80], [1, 0, 0, 125, 175, 609, 1085, 1015, 930, 355, 79], [1, 0, 0, 126, 168, 630, 1050, 1050, 909, 362, 78], [1, 0, 0, 127, 161, 651, 1015, 1085, 888, 369, 77], [1, 0, 0, 128, 154, 672, 980, 1120, 867, 376, 76], [1, 0, 0, 129, 147, 693, 945, 1155, 846, 383, 75], [1, 0, 0, 130, 140, 714, 910, 1190, 825, 390, 74], [1, 0, 0, 131, 133, 735, 875, 1225, 804, 397, 73], [1, 0, 0, 132, 126, 756, 840, 1260, 783, 404, 72], [1, 0, 0, 133, 119, 777, 805, 1295, 762, 411, 71], [1, 0, 0, 134, 112, 798, 770, 1330, 741, 418, 70], [1, 0, 0, 135, 105, 819, 735, 1365, 720, 425, 69], [1, 0, 0, 136, 98, 840, 700, 1400, 699, 432, 68], [1, 0, 0, 137, 91, 861, 665, 1435, 678, 439, 67], [1, 0, 0, 138, 84, 882, 630, 1470, 657, 446, 66], [1, 0, 0, 139, 77, 903, 595, 1505, 636, 453, 65], [1, 0, 0, 140, 70, 924, 560, 1540, 615, 460, 64], [1, 0, 0, 141, 63, 945, 525, 1575, 594, 467, 63], [1, 0, 0, 142, 56, 966, 490, 1610, 573, 474, 62], [1, 0, 0, 143, 49, 987, 455, 1645, 552, 481, 61], [1, 0, 0, 144, 42, 1008, 420, 1680, 531, 488, 60], [1, 0, 0, 145, 35, 1029, 385, 1715, 510, 495, 59], [1, 0, 0, 146, 28, 1050, 350, 1750, 489, 502, 58], [1, 0, 0, 147, 21, 1071, 315, 1785, 468, 509, 57], [1, 0, 0, 148, 14, 1092, 280, 1820, 447, 516, 56], [1, 0, 0, 149, 7, 1113, 245, 1855, 426, 523, 55], [1, 0, 0, 150, 0, 1134, 210, 1890, 405, 530, 54], [1, 0, 1, 91, 385, 7, 2065, 49, 1504, 165, 106], [1, 0, 1, 92, 378, 28, 2030, 84, 1483, 172, 105], [1, 0, 1, 93, 371, 49, 1995, 119, 1462, 179, 104], [1, 0, 1, 94, 364, 70, 1960, 154, 1441, 186, 103], [1, 0, 1, 95, 357, 91, 1925, 189, 1420, 193, 102], [1, 0, 1, 96, 350, 112, 1890, 224, 1399, 200, 101], [1, 0, 1, 97, 343, 133, 1855, 259, 1378, 207, 100], [1, 0, 1, 98, 336, 154, 1820, 294, 1357, 214, 99], [1, 0, 1, 99, 329, 175, 1785, 329, 1336, 221, 98], [1, 0, 1, 100, 322, 196, 1750, 364, 1315, 228, 97], [1, 0, 1, 101, 315, 217, 1715, 399, 1294, 235, 96], [1, 0, 1, 102, 308, 238, 1680, 434, 1273, 242, 95], [1, 0, 1, 103, 301, 259, 1645, 469, 1252, 249, 94], [1, 0, 1, 104, 294, 280, 1610, 504, 1231, 256, 93], [1, 0, 1, 105, 287, 301, 1575, 539, 1210, 263, 92], [1, 0, 1, 106, 280, 322, 1540, 574, 1189, 270, 91], [1, 0, 1, 107, 273, 343, 1505, 609, 1168, 277, 90], [1, 0, 1, 108, 266, 364, 1470, 644, 1147, 284, 89], [1, 0, 1, 109, 259, 385, 1435, 679, 1126, 291, 88], [1, 0, 1, 110, 252, 406, 1400, 714, 1105, 298, 87], [1, 0, 1, 111, 245, 427, 1365, 749, 1084, 305, 86], [1, 0, 1, 112, 238, 448, 1330, 784, 1063, 312, 85], [1, 0, 1, 113, 231, 469, 1295, 819, 1042, 319, 84], [1, 0, 1, 114, 224, 490, 1260, 854, 1021, 326, 83], [1, 0, 1, 115, 217, 511, 1225, 889, 1000, 333, 82], [1, 0, 1, 116, 210, 532, 1190, 924, 979, 340, 81], [1, 0, 1, 117, 203, 553, 1155, 959, 958, 347, 80], [1, 0, 1, 118, 196, 574, 1120, 994, 937, 354, 79], [1, 0, 1, 119, 189, 595, 1085, 1029, 916, 361, 78], [1, 0, 1, 120, 182, 616, 1050, 1064, 895, 368, 77], [1, 0, 1, 121, 175, 637, 1015, 1099, 874, 375, 76], [1, 0, 1, 122, 168, 658, 980, 1134, 853, 382, 75], [1, 0, 1, 123, 161, 679, 945, 1169, 832, 389, 74], [1, 0, 1, 124, 154, 700, 910, 1204, 811, 396, 73], [1, 0, 1, 125, 147, 721, 875, 1239, 790, 403, 72], [1, 0, 1, 126, 140, 742, 840, 1274, 769, 410, 71], [1, 0, 1, 127, 133, 763, 805, 1309, 748, 417, 70], [1, 0, 1, 128, 126, 784, 770, 1344, 727, 424, 69], [1, 0, 1, 129, 119, 805, 735, 1379, 706, 431, 68], [1, 0, 1, 130, 112, 826, 700, 1414, 685, 438, 67], [1, 0, 1, 131, 105, 847, 665, 1449, 664, 445, 66], [1, 0, 1, 132, 98, 868, 630, 1484, 643, 452, 65], [1, 0, 1, 133, 91, 889, 595, 1519, 622, 459, 64], [1, 0, 1, 134, 84, 910, 560, 1554, 601, 466, 63], [1, 0, 1, 135, 77, 931, 525, 1589, 580, 473, 62], [1, 0, 1, 136, 70, 952, 490, 1624, 559, 480, 61], [1, 0, 1, 137, 63, 973, 455, 1659, 538, 487, 60], [1, 0, 1, 138, 56, 994, 420, 1694, 517, 494, 59], [1, 0, 1, 139, 49, 1015, 385, 1729, 496, 501, 58], [1, 0, 1, 140, 42, 1036, 350, 1764, 475, 508, 57], [1, 0, 1, 141, 35, 1057, 315, 1799, 454, 515, 56], [1, 0, 1, 142, 28, 1078, 280, 1834, 433, 522, 55], [1, 0, 1, 143, 21, 1099, 245, 1869, 412, 529, 54], [1, 0, 1, 144, 14, 1120, 210, 1904, 391, 536, 53], [1, 0, 1, 145, 7, 1141, 175, 1939, 370, 543, 52], [1, 0, 1, 146, 0, 1162, 140, 1974, 349, 550, 51], [1, 0, 2, 86, 392, 14, 2030, 98, 1469, 178, 104], [1, 0, 2, 87, 385, 35, 1995, 133, 1448, 185, 103], [1, 0, 2, 88, 378, 56, 1960, 168, 1427, 192, 102], [1, 0, 2, 89, 371, 77, 1925, 203, 1406, 199, 101], [1, 0, 2, 90, 364, 98, 1890, 238, 1385, 206, 100], [1, 0, 2, 91, 357, 119, 1855, 273, 1364, 213, 99], [1, 0, 2, 92, 350, 140, 1820, 308, 1343, 220, 98], [1, 0, 2, 93, 343, 161, 1785, 343, 1322, 227, 97], [1, 0, 2, 94, 336, 182, 1750, 378, 1301, 234, 96], [1, 0, 2, 95, 329, 203, 1715, 413, 1280, 241, 95], [1, 0, 2, 96, 322, 224, 1680, 448, 1259, 248, 94], [1, 0, 2, 97, 315, 245, 1645, 483, 1238, 255, 93], [1, 0, 2, 98, 308, 266, 1610, 518, 1217, 262, 92], [1, 0, 2, 99, 301, 287, 1575, 553, 1196, 269, 91], [1, 0, 2, 100, 294, 308, 1540, 588, 1175, 276, 90], [1, 0, 2, 101, 287, 329, 1505, 623, 1154, 283, 89], [1, 0, 2, 102, 280, 350, 1470, 658, 1133, 290, 88], [1, 0, 2, 103, 273, 371, 1435, 693, 1112, 297, 87], [1, 0, 2, 104, 266, 392, 1400, 728, 1091, 304, 86], [1, 0, 2, 105, 259, 413, 1365, 763, 1070, 311, 85], [1, 0, 2, 106, 252, 434, 1330, 798, 1049, 318, 84], [1, 0, 2, 107, 245, 455, 1295, 833, 1028, 325, 83], [1, 0, 2, 108, 238, 476, 1260, 868, 1007, 332, 82], [1, 0, 2, 109, 231, 497, 1225, 903, 986, 339, 81], [1, 0, 2, 110, 224, 518, 1190, 938, 965, 346, 80], [1, 0, 2, 111, 217, 539, 1155, 973, 944, 353, 79], [1, 0, 2, 112, 210, 560, 1120, 1008, 923, 360, 78], [1, 0, 2, 113, 203, 581, 1085, 1043, 902, 367, 77], [1, 0, 2, 114, 196, 602, 1050, 1078, 881, 374, 76], [1, 0, 2, 115, 189, 623, 1015, 1113, 860, 381, 75], [1, 0, 2, 116, 182, 644, 980, 1148, 839, 388, 74], [1, 0, 2, 117, 175, 665, 945, 1183, 818, 395, 73], [1, 0, 2, 118, 168, 686, 910, 1218, 797, 402, 72], [1, 0, 2, 119, 161, 707, 875, 1253, 776, 409, 71], [1, 0, 2, 120, 154, 728, 840, 1288, 755, 416, 70], [1, 0, 2, 121, 147, 749, 805, 1323, 734, 423, 69], [1, 0, 2, 122, 140, 770, 770, 1358, 713, 430, 68], [1, 0, 2, 123, 133, 791, 735, 1393, 692, 437, 67], [1, 0, 2, 124, 126, 812, 700, 1428, 671, 444, 66], [1, 0, 2, 125, 119, 833, 665, 1463, 650, 451, 65], [1, 0, 2, 126, 112, 854, 630, 1498, 629, 458, 64], [1, 0, 2, 127, 105, 875, 595, 1533, 608, 465, 63], [1, 0, 2, 128, 98, 896, 560, 1568, 587, 472, 62], [1, 0, 2, 129, 91, 917, 525, 1603, 566, 479, 61], [1, 0, 2, 130, 84, 938, 490, 1638, 545, 486, 60], [1, 0, 2, 131, 77, 959, 455, 1673, 524, 493, 59], [1, 0, 2, 132, 70, 980, 420, 1708, 503, 500, 58], [1, 0, 2, 133, 63, 1001, 385, 1743, 482, 507, 57], [1, 0, 2, 134, 56, 1022, 350, 1778, 461, 514, 56], [1, 0, 2, 135, 49, 1043, 315, 1813, 440, 521, 55], [1, 0, 2, 136, 42, 1064, 280, 1848, 419, 528, 54], [1, 0, 2, 137, 35, 1085, 245, 1883, 398, 535, 53], [1, 0, 2, 138, 28, 1106, 210, 1918, 377, 542, 52], [1, 0, 2, 139, 21, 1127, 175, 1953, 356, 549, 51], [1, 0, 2, 140, 14, 1148, 140, 1988, 335, 556, 50], [1, 0, 2, 141, 7, 1169, 105, 2023, 314, 563, 49], [1, 0, 2, 142, 0, 1190, 70, 2058, 293, 570, 48], [1, 0, 3, 80, 406, 0, 2030, 112, 1455, 184, 103], [1, 0, 3, 81, 399, 21, 1995, 147, 1434, 191, 102], [1, 0, 3, 82, 392, 42, 1960, 182, 1413, 198, 101], [1, 0, 3, 83, 385, 63, 1925, 217, 1392, 205, 100], [1, 0, 3, 84, 378, 84, 1890, 252, 1371, 212, 99], [1, 0, 3, 85, 371, 105, 1855, 287, 1350, 219, 98], [1, 0, 3, 86, 364, 126, 1820, 322, 1329, 226, 97], [1, 0, 3, 87, 357, 147, 1785, 357, 1308, 233, 96], [1, 0, 3, 88, 350, 168, 1750, 392, 1287, 240, 95], [1, 0, 3, 89, 343, 189, 1715, 427, 1266, 247, 94], [1, 0, 3, 90, 336, 210, 1680, 462, 1245, 254, 93], [1, 0, 3, 91, 329, 231, 1645, 497, 1224, 261, 92], [1, 0, 3, 92, 322, 252, 1610, 532, 1203, 268, 91], [1, 0, 3, 93, 315, 273, 1575, 567, 1182, 275, 90], [1, 0, 3, 94, 308, 294, 1540, 602, 1161, 282, 89], [1, 0, 3, 95, 301, 315, 1505, 637, 1140, 289, 88], [1, 0, 3, 96, 294, 336, 1470, 672, 1119, 296, 87], [1, 0, 3, 97, 287, 357, 1435, 707, 1098, 303, 86], [1, 0, 3, 98, 280, 378, 1400, 742, 1077, 310, 85], [1, 0, 3, 99, 273, 399, 1365, 777, 1056, 317, 84], [1, 0, 3, 100, 266, 420, 1330, 812, 1035, 324, 83], [1, 0, 3, 101, 259, 441, 1295, 847, 1014, 331, 82], [1, 0, 3, 102, 252, 462, 1260, 882, 993, 338, 81], [1, 0, 3, 103, 245, 483, 1225, 917, 972, 345, 80], [1, 0, 3, 104, 238, 504, 1190, 952, 951, 352, 79], [1, 0, 3, 105, 231, 525, 1155, 987, 930, 359, 78], [1, 0, 3, 106, 224, 546, 1120, 1022, 909, 366, 77], [1, 0, 3, 107, 217, 567, 1085, 1057, 888, 373, 76], [1, 0, 3, 108, 210, 588, 1050, 1092, 867, 380, 75], [1, 0, 3, 109, 203, 609, 1015, 1127, 846, 387, 74], [1, 0, 3, 110, 196, 630, 980, 1162, 825, 394, 73], [1, 0, 3, 111, 189, 651, 945, 1197, 804, 401, 72], [1, 0, 3, 112, 182, 672, 910, 1232, 783, 408, 71], [1, 0, 3, 113, 175, 693, 875, 1267, 762, 415, 70], [1, 0, 3, 114, 168, 714, 840, 1302, 741, 422, 69], [1, 0, 3, 115, 161, 735, 805, 1337, 720, 429, 68], [1, 0, 3, 116, 154, 756, 770, 1372, 699, 436, 67], [1, 0, 3, 117, 147, 777, 735, 1407, 678, 443, 66], [1, 0, 3, 118, 140, 798, 700, 1442, 657, 450, 65], [1, 0, 3, 119, 133, 819, 665, 1477, 636, 457, 64], [1, 0, 3, 120, 126, 840, 630, 1512, 615, 464, 63], [1, 0, 3, 121, 119, 861, 595, 1547, 594, 471, 62], [1, 0, 3, 122, 112, 882, 560, 1582, 573, 478, 61], [1, 0, 3, 123, 105, 903, 525, 1617, 552, 485, 60], [1, 0, 3, 124, 98, 924, 490, 1652, 531, 492, 59], [1, 0, 3, 125, 91, 945, 455, 1687, 510, 499, 58], [1, 0, 3, 126, 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1651, 319, 617, 35], [2, 2, 4, 2, 546, 238, 938, 1686, 298, 624, 34], [2, 2, 4, 3, 539, 259, 903, 1721, 277, 631, 33], [2, 2, 4, 4, 532, 280, 868, 1756, 256, 638, 32], [2, 2, 4, 5, 525, 301, 833, 1791, 235, 645, 31], [2, 2, 4, 6, 518, 322, 798, 1826, 214, 652, 30], [2, 2, 4, 7, 511, 343, 763, 1861, 193, 659, 29], [2, 2, 4, 8, 504, 364, 728, 1896, 172, 666, 28], [2, 2, 4, 9, 497, 385, 693, 1931, 151, 673, 27], [2, 2, 4, 10, 490, 406, 658, 1966, 130, 680, 26], [2, 2, 4, 11, 483, 427, 623, 2001, 109, 687, 25], [2, 2, 4, 12, 476, 448, 588, 2036, 88, 694, 24], [2, 2, 4, 13, 469, 469, 553, 2071, 67, 701, 23], [2, 2, 4, 14, 462, 490, 518, 2106, 46, 708, 22], [2, 2, 4, 15, 455, 511, 483, 2141, 25, 715, 21], [2, 2, 4, 16, 448, 532, 448, 2176, 4, 722, 20], [2, 2, 5, 0, 532, 308, 798, 1840, 200, 658, 29], [2, 2, 5, 1, 525, 329, 763, 1875, 179, 665, 28], [2, 2, 5, 2, 518, 350, 728, 1910, 158, 672, 27], [2, 2, 5, 3, 511, 371, 693, 1945, 137, 679, 26], [2, 2, 5, 4, 504, 392, 658, 1980, 116, 686, 25], [2, 2, 5, 5, 497, 413, 623, 2015, 95, 693, 24], [2, 2, 5, 6, 490, 434, 588, 2050, 74, 700, 23], [2, 2, 5, 7, 483, 455, 553, 2085, 53, 707, 22], [2, 2, 5, 8, 476, 476, 518, 2120, 32, 714, 21], [2, 2, 5, 9, 469, 497, 483, 2155, 11, 721, 20], [2, 2, 6, 0, 504, 420, 588, 2064, 60, 706, 22], [2, 2, 6, 1, 497, 441, 553, 2099, 39, 713, 21], [2, 2, 6, 2, 490, 462, 518, 2134, 18, 720, 20], [2, 3, 0, 0, 588, 126, 1092, 1560, 360, 607, 36], [2, 3, 0, 1, 581, 147, 1057, 1595, 339, 614, 35], [2, 3, 0, 2, 574, 168, 1022, 1630, 318, 621, 34], [2, 3, 0, 3, 567, 189, 987, 1665, 297, 628, 33], [2, 3, 0, 4, 560, 210, 952, 1700, 276, 635, 32], [2, 3, 0, 5, 553, 231, 917, 1735, 255, 642, 31], [2, 3, 0, 6, 546, 252, 882, 1770, 234, 649, 30], [2, 3, 0, 7, 539, 273, 847, 1805, 213, 656, 29], [2, 3, 0, 8, 532, 294, 812, 1840, 192, 663, 28], [2, 3, 0, 9, 525, 315, 777, 1875, 171, 670, 27], [2, 3, 0, 10, 518, 336, 742, 1910, 150, 677, 26], [2, 3, 0, 11, 511, 357, 707, 1945, 129, 684, 25], [2, 3, 0, 12, 504, 378, 672, 1980, 108, 691, 24], [2, 3, 0, 13, 497, 399, 637, 2015, 87, 698, 23], [2, 3, 0, 14, 490, 420, 602, 2050, 66, 705, 22], [2, 3, 0, 15, 483, 441, 567, 2085, 45, 712, 21], [2, 3, 0, 16, 476, 462, 532, 2120, 24, 719, 20], [2, 3, 0, 17, 469, 483, 497, 2155, 3, 726, 19], [2, 3, 1, 0, 560, 238, 882, 1784, 220, 655, 29], [2, 3, 1, 1, 553, 259, 847, 1819, 199, 662, 28], [2, 3, 1, 2, 546, 280, 812, 1854, 178, 669, 27], [2, 3, 1, 3, 539, 301, 777, 1889, 157, 676, 26], [2, 3, 1, 4, 532, 322, 742, 1924, 136, 683, 25], [2, 3, 1, 5, 525, 343, 707, 1959, 115, 690, 24], [2, 3, 1, 6, 518, 364, 672, 1994, 94, 697, 23], [2, 3, 1, 7, 511, 385, 637, 2029, 73, 704, 22], [2, 3, 1, 8, 504, 406, 602, 2064, 52, 711, 21], [2, 3, 1, 9, 497, 427, 567, 2099, 31, 718, 20], [2, 3, 1, 10, 490, 448, 532, 2134, 10, 725, 19], [2, 3, 2, 0, 532, 350, 672, 2008, 80, 703, 22], [2, 3, 2, 1, 525, 371, 637, 2043, 59, 710, 21], [2, 3, 2, 2, 518, 392, 602, 2078, 38, 717, 20], [2, 3, 2, 3, 511, 413, 567, 2113, 17, 724, 19], [3, 0, 0, 0, 630, 0, 1260, 1440, 405, 600, 36], [3, 0, 0, 1, 623, 21, 1225, 1475, 384, 607, 35], [3, 0, 0, 2, 616, 42, 1190, 1510, 363, 614, 34], [3, 0, 0, 3, 609, 63, 1155, 1545, 342, 621, 33], [3, 0, 0, 4, 602, 84, 1120, 1580, 321, 628, 32], [3, 0, 0, 5, 595, 105, 1085, 1615, 300, 635, 31], [3, 0, 0, 6, 588, 126, 1050, 1650, 279, 642, 30], [3, 0, 0, 7, 581, 147, 1015, 1685, 258, 649, 29], [3, 0, 0, 8, 574, 168, 980, 1720, 237, 656, 28], [3, 0, 0, 9, 567, 189, 945, 1755, 216, 663, 27], [3, 0, 0, 10, 560, 210, 910, 1790, 195, 670, 26], [3, 0, 0, 11, 553, 231, 875, 1825, 174, 677, 25], [3, 0, 0, 12, 546, 252, 840, 1860, 153, 684, 24], [3, 0, 0, 13, 539, 273, 805, 1895, 132, 691, 23], [3, 0, 0, 14, 532, 294, 770, 1930, 111, 698, 22], [3, 0, 0, 15, 525, 315, 735, 1965, 90, 705, 21], [3, 0, 0, 16, 518, 336, 700, 2000, 69, 712, 20], [3, 0, 0, 17, 511, 357, 665, 2035, 48, 719, 19], [3, 0, 0, 18, 504, 378, 630, 2070, 27, 726, 18], [3, 0, 0, 19, 497, 399, 595, 2105, 6, 733, 17], [3, 0, 1, 0, 602, 112, 1050, 1664, 265, 648, 29], [3, 0, 1, 1, 595, 133, 1015, 1699, 244, 655, 28], [3, 0, 1, 2, 588, 154, 980, 1734, 223, 662, 27], [3, 0, 1, 3, 581, 175, 945, 1769, 202, 669, 26], [3, 0, 1, 4, 574, 196, 910, 1804, 181, 676, 25], [3, 0, 1, 5, 567, 217, 875, 1839, 160, 683, 24], [3, 0, 1, 6, 560, 238, 840, 1874, 139, 690, 23], [3, 0, 1, 7, 553, 259, 805, 1909, 118, 697, 22], [3, 0, 1, 8, 546, 280, 770, 1944, 97, 704, 21], [3, 0, 1, 9, 539, 301, 735, 1979, 76, 711, 20], [3, 0, 1, 10, 532, 322, 700, 2014, 55, 718, 19], [3, 0, 1, 11, 525, 343, 665, 2049, 34, 725, 18], [3, 0, 1, 12, 518, 364, 630, 2084, 13, 732, 17], [3, 0, 2, 0, 574, 224, 840, 1888, 125, 696, 22], [3, 0, 2, 1, 567, 245, 805, 1923, 104, 703, 21], [3, 0, 2, 2, 560, 266, 770, 1958, 83, 710, 20], [3, 0, 2, 3, 553, 287, 735, 1993, 62, 717, 19], [3, 0, 2, 4, 546, 308, 700, 2028, 41, 724, 18], [3, 0, 2, 5, 539, 329, 665, 2063, 20, 731, 17]}
(11, 4374, 6) has 21191 possible DDs: {[1, 0, 0, 0, 316, 98, 630, 1810, 5, 1394, 34, 86], [1, 0, 0, 0, 317, 91, 651, 1775, 40, 1373, 41, 85], [1, 0, 0, 0, 318, 84, 672, 1740, 75, 1352, 48, 84], [1, 0, 0, 0, 319, 77, 693, 1705, 110, 1331, 55, 83], [1, 0, 0, 0, 320, 70, 714, 1670, 145, 1310, 62, 82], [1, 0, 0, 0, 321, 63, 735, 1635, 180, 1289, 69, 81], [1, 0, 0, 0, 322, 56, 756, 1600, 215, 1268, 76, 80], [1, 0, 0, 0, 323, 49, 777, 1565, 250, 1247, 83, 79], [1, 0, 0, 0, 324, 42, 798, 1530, 285, 1226, 90, 78], [1, 0, 0, 0, 325, 35, 819, 1495, 320, 1205, 97, 77], [1, 0, 0, 0, 326, 28, 840, 1460, 355, 1184, 104, 76], [1, 0, 0, 0, 327, 21, 861, 1425, 390, 1163, 111, 75], [1, 0, 0, 0, 328, 14, 882, 1390, 425, 1142, 118, 74], [1, 0, 0, 0, 329, 7, 903, 1355, 460, 1121, 125, 73], [1, 0, 0, 0, 330, 0, 924, 1320, 495, 1100, 132, 72], [1, 0, 0, 1, 310, 112, 616, 1810, 19, 1380, 40, 85], [1, 0, 0, 1, 311, 105, 637, 1775, 54, 1359, 47, 84], [1, 0, 0, 1, 312, 98, 658, 1740, 89, 1338, 54, 83], [1, 0, 0, 1, 313, 91, 679, 1705, 124, 1317, 61, 82], [1, 0, 0, 1, 314, 84, 700, 1670, 159, 1296, 68, 81], [1, 0, 0, 1, 315, 77, 721, 1635, 194, 1275, 75, 80], [1, 0, 0, 1, 316, 70, 742, 1600, 229, 1254, 82, 79], [1, 0, 0, 1, 317, 63, 763, 1565, 264, 1233, 89, 78], [1, 0, 0, 1, 318, 56, 784, 1530, 299, 1212, 96, 77], [1, 0, 0, 1, 319, 49, 805, 1495, 334, 1191, 103, 76], [1, 0, 0, 1, 320, 42, 826, 1460, 369, 1170, 110, 75], [1, 0, 0, 1, 321, 35, 847, 1425, 404, 1149, 117, 74], [1, 0, 0, 1, 322, 28, 868, 1390, 439, 1128, 124, 73], [1, 0, 0, 1, 323, 21, 889, 1355, 474, 1107, 131, 72], [1, 0, 0, 1, 324, 14, 910, 1320, 509, 1086, 138, 71], [1, 0, 0, 1, 325, 7, 931, 1285, 544, 1065, 145, 70], [1, 0, 0, 1, 326, 0, 952, 1250, 579, 1044, 152, 69], [1, 0, 0, 2, 304, 126, 602, 1810, 33, 1366, 46, 84], [1, 0, 0, 2, 305, 119, 623, 1775, 68, 1345, 53, 83], [1, 0, 0, 2, 306, 112, 644, 1740, 103, 1324, 60, 82], [1, 0, 0, 2, 307, 105, 665, 1705, 138, 1303, 67, 81], [1, 0, 0, 2, 308, 98, 686, 1670, 173, 1282, 74, 80], [1, 0, 0, 2, 309, 91, 707, 1635, 208, 1261, 81, 79], [1, 0, 0, 2, 310, 84, 728, 1600, 243, 1240, 88, 78], [1, 0, 0, 2, 311, 77, 749, 1565, 278, 1219, 95, 77], [1, 0, 0, 2, 312, 70, 770, 1530, 313, 1198, 102, 76], [1, 0, 0, 2, 313, 63, 791, 1495, 348, 1177, 109, 75], [1, 0, 0, 2, 314, 56, 812, 1460, 383, 1156, 116, 74], [1, 0, 0, 2, 315, 49, 833, 1425, 418, 1135, 123, 73], [1, 0, 0, 2, 316, 42, 854, 1390, 453, 1114, 130, 72], [1, 0, 0, 2, 317, 35, 875, 1355, 488, 1093, 137, 71], [1, 0, 0, 2, 318, 28, 896, 1320, 523, 1072, 144, 70], [1, 0, 0, 2, 319, 21, 917, 1285, 558, 1051, 151, 69], [1, 0, 0, 2, 320, 14, 938, 1250, 593, 1030, 158, 68], [1, 0, 0, 2, 321, 7, 959, 1215, 628, 1009, 165, 67], [1, 0, 0, 2, 322, 0, 980, 1180, 663, 988, 172, 66], [1, 0, 0, 3, 297, 147, 567, 1845, 12, 1373, 45, 84], [1, 0, 0, 3, 298, 140, 588, 1810, 47, 1352, 52, 83], [1, 0, 0, 3, 299, 133, 609, 1775, 82, 1331, 59, 82], [1, 0, 0, 3, 300, 126, 630, 1740, 117, 1310, 66, 81], [1, 0, 0, 3, 301, 119, 651, 1705, 152, 1289, 73, 80], [1, 0, 0, 3, 302, 112, 672, 1670, 187, 1268, 80, 79], [1, 0, 0, 3, 303, 105, 693, 1635, 222, 1247, 87, 78], [1, 0, 0, 3, 304, 98, 714, 1600, 257, 1226, 94, 77], [1, 0, 0, 3, 305, 91, 735, 1565, 292, 1205, 101, 76], [1, 0, 0, 3, 306, 84, 756, 1530, 327, 1184, 108, 75], [1, 0, 0, 3, 307, 77, 777, 1495, 362, 1163, 115, 74], [1, 0, 0, 3, 308, 70, 798, 1460, 397, 1142, 122, 73], [1, 0, 0, 3, 309, 63, 819, 1425, 432, 1121, 129, 72], [1, 0, 0, 3, 310, 56, 840, 1390, 467, 1100, 136, 71], [1, 0, 0, 3, 311, 49, 861, 1355, 502, 1079, 143, 70], [1, 0, 0, 3, 312, 42, 882, 1320, 537, 1058, 150, 69], [1, 0, 0, 3, 313, 35, 903, 1285, 572, 1037, 157, 68], [1, 0, 0, 3, 314, 28, 924, 1250, 607, 1016, 164, 67], [1, 0, 0, 3, 315, 21, 945, 1215, 642, 995, 171, 66], [1, 0, 0, 3, 316, 14, 966, 1180, 677, 974, 178, 65], [1, 0, 0, 3, 317, 7, 987, 1145, 712, 953, 185, 64], [1, 0, 0, 3, 318, 0, 1008, 1110, 747, 932, 192, 63], [1, 0, 0, 4, 291, 161, 553, 1845, 26, 1359, 51, 83], [1, 0, 0, 4, 292, 154, 574, 1810, 61, 1338, 58, 82], [1, 0, 0, 4, 293, 147, 595, 1775, 96, 1317, 65, 81], [1, 0, 0, 4, 294, 140, 616, 1740, 131, 1296, 72, 80], [1, 0, 0, 4, 295, 133, 637, 1705, 166, 1275, 79, 79], [1, 0, 0, 4, 296, 126, 658, 1670, 201, 1254, 86, 78], [1, 0, 0, 4, 297, 119, 679, 1635, 236, 1233, 93, 77], [1, 0, 0, 4, 298, 112, 700, 1600, 271, 1212, 100, 76], [1, 0, 0, 4, 299, 105, 721, 1565, 306, 1191, 107, 75], [1, 0, 0, 4, 300, 98, 742, 1530, 341, 1170, 114, 74], [1, 0, 0, 4, 301, 91, 763, 1495, 376, 1149, 121, 73], [1, 0, 0, 4, 302, 84, 784, 1460, 411, 1128, 128, 72], [1, 0, 0, 4, 303, 77, 805, 1425, 446, 1107, 135, 71], [1, 0, 0, 4, 304, 70, 826, 1390, 481, 1086, 142, 70], [1, 0, 0, 4, 305, 63, 847, 1355, 516, 1065, 149, 69], [1, 0, 0, 4, 306, 56, 868, 1320, 551, 1044, 156, 68], [1, 0, 0, 4, 307, 49, 889, 1285, 586, 1023, 163, 67], [1, 0, 0, 4, 308, 42, 910, 1250, 621, 1002, 170, 66], [1, 0, 0, 4, 309, 35, 931, 1215, 656, 981, 177, 65], [1, 0, 0, 4, 310, 28, 952, 1180, 691, 960, 184, 64], [1, 0, 0, 4, 311, 21, 973, 1145, 726, 939, 191, 63], [1, 0, 0, 4, 312, 14, 994, 1110, 761, 918, 198, 62], [1, 0, 0, 4, 313, 7, 1015, 1075, 796, 897, 205, 61], [1, 0, 0, 4, 314, 0, 1036, 1040, 831, 876, 212, 60], [1, 0, 0, 5, 284, 182, 518, 1880, 5, 1366, 50, 83], [1, 0, 0, 5, 285, 175, 539, 1845, 40, 1345, 57, 82], [1, 0, 0, 5, 286, 168, 560, 1810, 75, 1324, 64, 81], [1, 0, 0, 5, 287, 161, 581, 1775, 110, 1303, 71, 80], [1, 0, 0, 5, 288, 154, 602, 1740, 145, 1282, 78, 79], [1, 0, 0, 5, 289, 147, 623, 1705, 180, 1261, 85, 78], [1, 0, 0, 5, 290, 140, 644, 1670, 215, 1240, 92, 77], [1, 0, 0, 5, 291, 133, 665, 1635, 250, 1219, 99, 76], [1, 0, 0, 5, 292, 126, 686, 1600, 285, 1198, 106, 75], [1, 0, 0, 5, 293, 119, 707, 1565, 320, 1177, 113, 74], [1, 0, 0, 5, 294, 112, 728, 1530, 355, 1156, 120, 73], [1, 0, 0, 5, 295, 105, 749, 1495, 390, 1135, 127, 72], [1, 0, 0, 5, 296, 98, 770, 1460, 425, 1114, 134, 71], [1, 0, 0, 5, 297, 91, 791, 1425, 460, 1093, 141, 70], [1, 0, 0, 5, 298, 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3, 166, 602, 126, 1480, 1202, 274, 514, 5], [2, 0, 0, 3, 167, 595, 147, 1445, 1237, 253, 521, 4], [2, 0, 0, 3, 168, 588, 168, 1410, 1272, 232, 528, 3], [2, 0, 0, 3, 169, 581, 189, 1375, 1307, 211, 535, 2], [2, 0, 0, 3, 170, 574, 210, 1340, 1342, 190, 542, 1], [2, 0, 0, 3, 171, 567, 231, 1305, 1377, 169, 549, 0], [2, 0, 0, 4, 155, 651, 7, 1655, 1041, 365, 485, 9], [2, 0, 0, 4, 156, 644, 28, 1620, 1076, 344, 492, 8], [2, 0, 0, 4, 157, 637, 49, 1585, 1111, 323, 499, 7], [2, 0, 0, 4, 158, 630, 70, 1550, 1146, 302, 506, 6], [2, 0, 0, 4, 159, 623, 91, 1515, 1181, 281, 513, 5], [2, 0, 0, 4, 160, 616, 112, 1480, 1216, 260, 520, 4], [2, 0, 0, 4, 161, 609, 133, 1445, 1251, 239, 527, 3], [2, 0, 0, 4, 162, 602, 154, 1410, 1286, 218, 534, 2], [2, 0, 0, 4, 163, 595, 175, 1375, 1321, 197, 541, 1], [2, 0, 0, 4, 164, 588, 196, 1340, 1356, 176, 548, 0], [2, 0, 0, 5, 150, 658, 14, 1620, 1090, 330, 498, 7], [2, 0, 0, 5, 151, 651, 35, 1585, 1125, 309, 505, 6], [2, 0, 0, 5, 152, 644, 56, 1550, 1160, 288, 512, 5], [2, 0, 0, 5, 153, 637, 77, 1515, 1195, 267, 519, 4], [2, 0, 0, 5, 154, 630, 98, 1480, 1230, 246, 526, 3], [2, 0, 0, 5, 155, 623, 119, 1445, 1265, 225, 533, 2], [2, 0, 0, 5, 156, 616, 140, 1410, 1300, 204, 540, 1], [2, 0, 0, 5, 157, 609, 161, 1375, 1335, 183, 547, 0], [2, 0, 0, 6, 144, 672, 0, 1620, 1104, 316, 504, 6], [2, 0, 0, 6, 145, 665, 21, 1585, 1139, 295, 511, 5], [2, 0, 0, 6, 146, 658, 42, 1550, 1174, 274, 518, 4], [2, 0, 0, 6, 147, 651, 63, 1515, 1209, 253, 525, 3], [2, 0, 0, 6, 148, 644, 84, 1480, 1244, 232, 532, 2], [2, 0, 0, 6, 149, 637, 105, 1445, 1279, 211, 539, 1], [2, 0, 0, 6, 150, 630, 126, 1410, 1314, 190, 546, 0], [2, 0, 0, 7, 139, 679, 7, 1585, 1153, 281, 517, 4], [2, 0, 0, 7, 140, 672, 28, 1550, 1188, 260, 524, 3], [2, 0, 0, 7, 141, 665, 49, 1515, 1223, 239, 531, 2], [2, 0, 0, 7, 142, 658, 70, 1480, 1258, 218, 538, 1], [2, 0, 0, 7, 143, 651, 91, 1445, 1293, 197, 545, 0], [2, 0, 0, 8, 134, 686, 14, 1550, 1202, 246, 530, 2], [2, 0, 0, 8, 135, 679, 35, 1515, 1237, 225, 537, 1], [2, 0, 0, 8, 136, 672, 56, 1480, 1272, 204, 544, 0], [2, 0, 0, 9, 128, 700, 0, 1550, 1216, 232, 536, 1], [2, 0, 0, 9, 129, 693, 21, 1515, 1251, 211, 543, 0], [2, 0, 1, 0, 158, 658, 0, 1634, 1090, 322, 503, 6], [2, 0, 1, 0, 159, 651, 21, 1599, 1125, 301, 510, 5], [2, 0, 1, 0, 160, 644, 42, 1564, 1160, 280, 517, 4], [2, 0, 1, 0, 161, 637, 63, 1529, 1195, 259, 524, 3], [2, 0, 1, 0, 162, 630, 84, 1494, 1230, 238, 531, 2], [2, 0, 1, 0, 163, 623, 105, 1459, 1265, 217, 538, 1], [2, 0, 1, 0, 164, 616, 126, 1424, 1300, 196, 545, 0], [2, 0, 1, 1, 153, 665, 7, 1599, 1139, 287, 516, 4], [2, 0, 1, 1, 154, 658, 28, 1564, 1174, 266, 523, 3], [2, 0, 1, 1, 155, 651, 49, 1529, 1209, 245, 530, 2], [2, 0, 1, 1, 156, 644, 70, 1494, 1244, 224, 537, 1], [2, 0, 1, 1, 157, 637, 91, 1459, 1279, 203, 544, 0], [2, 0, 1, 2, 148, 672, 14, 1564, 1188, 252, 529, 2], [2, 0, 1, 2, 149, 665, 35, 1529, 1223, 231, 536, 1], [2, 0, 1, 2, 150, 658, 56, 1494, 1258, 210, 543, 0], [2, 0, 1, 3, 142, 686, 0, 1564, 1202, 238, 535, 1], [2, 0, 1, 3, 143, 679, 21, 1529, 1237, 217, 542, 0]}
(12, 4374, 6) has 59108 possible DDs: {[1, 0, 0, 0, 50, 460, 0, 1004, 1615, 20, 1160, 4, 60], [1, 0, 0, 0, 51, 454, 14, 990, 1615, 34, 1146, 10, 59], [1, 0, 0, 0, 51, 455, 7, 1011, 1580, 69, 1125, 17, 58], [1, 0, 0, 0, 51, 456, 0, 1032, 1545, 104, 1104, 24, 57], [1, 0, 0, 0, 52, 447, 35, 955, 1650, 13, 1153, 9, 59], [1, 0, 0, 0, 52, 448, 28, 976, 1615, 48, 1132, 16, 58], [1, 0, 0, 0, 52, 449, 21, 997, 1580, 83, 1111, 23, 57], [1, 0, 0, 0, 52, 450, 14, 1018, 1545, 118, 1090, 30, 56], [1, 0, 0, 0, 52, 451, 7, 1039, 1510, 153, 1069, 37, 55], [1, 0, 0, 0, 52, 452, 0, 1060, 1475, 188, 1048, 44, 54], [1, 0, 0, 0, 53, 441, 49, 941, 1650, 27, 1139, 15, 58], [1, 0, 0, 0, 53, 442, 42, 962, 1615, 62, 1118, 22, 57], [1, 0, 0, 0, 53, 443, 35, 983, 1580, 97, 1097, 29, 56], [1, 0, 0, 0, 53, 444, 28, 1004, 1545, 132, 1076, 36, 55], [1, 0, 0, 0, 53, 445, 21, 1025, 1510, 167, 1055, 43, 54], [1, 0, 0, 0, 53, 446, 14, 1046, 1475, 202, 1034, 50, 53], [1, 0, 0, 0, 53, 447, 7, 1067, 1440, 237, 1013, 57, 52], [1, 0, 0, 0, 53, 448, 0, 1088, 1405, 272, 992, 64, 51], [1, 0, 0, 0, 54, 434, 70, 906, 1685, 6, 1146, 14, 58], [1, 0, 0, 0, 54, 435, 63, 927, 1650, 41, 1125, 21, 57], [1, 0, 0, 0, 54, 436, 56, 948, 1615, 76, 1104, 28, 56], [1, 0, 0, 0, 54, 437, 49, 969, 1580, 111, 1083, 35, 55], [1, 0, 0, 0, 54, 438, 42, 990, 1545, 146, 1062, 42, 54], [1, 0, 0, 0, 54, 439, 35, 1011, 1510, 181, 1041, 49, 53], [1, 0, 0, 0, 54, 440, 28, 1032, 1475, 216, 1020, 56, 52], [1, 0, 0, 0, 54, 441, 21, 1053, 1440, 251, 999, 63, 51], [1, 0, 0, 0, 54, 442, 14, 1074, 1405, 286, 978, 70, 50], [1, 0, 0, 0, 54, 443, 7, 1095, 1370, 321, 957, 77, 49], [1, 0, 0, 0, 54, 444, 0, 1116, 1335, 356, 936, 84, 48], [1, 0, 0, 0, 55, 428, 84, 892, 1685, 20, 1132, 20, 57], [1, 0, 0, 0, 55, 429, 77, 913, 1650, 55, 1111, 27, 56], [1, 0, 0, 0, 55, 430, 70, 934, 1615, 90, 1090, 34, 55], [1, 0, 0, 0, 55, 431, 63, 955, 1580, 125, 1069, 41, 54], [1, 0, 0, 0, 55, 432, 56, 976, 1545, 160, 1048, 48, 53], [1, 0, 0, 0, 55, 433, 49, 997, 1510, 195, 1027, 55, 52], [1, 0, 0, 0, 55, 434, 42, 1018, 1475, 230, 1006, 62, 51], [1, 0, 0, 0, 55, 435, 35, 1039, 1440, 265, 985, 69, 50], [1, 0, 0, 0, 55, 436, 28, 1060, 1405, 300, 964, 76, 49], [1, 0, 0, 0, 55, 437, 21, 1081, 1370, 335, 943, 83, 48], [1, 0, 0, 0, 55, 438, 14, 1102, 1335, 370, 922, 90, 47], [1, 0, 0, 0, 55, 439, 7, 1123, 1300, 405, 901, 97, 46], [1, 0, 0, 0, 55, 440, 0, 1144, 1265, 440, 880, 104, 45], [1, 0, 0, 0, 56, 422, 98, 878, 1685, 34, 1118, 26, 56], [1, 0, 0, 0, 56, 423, 91, 899, 1650, 69, 1097, 33, 55], [1, 0, 0, 0, 56, 424, 84, 920, 1615, 104, 1076, 40, 54], [1, 0, 0, 0, 56, 425, 77, 941, 1580, 139, 1055, 47, 53], [1, 0, 0, 0, 56, 426, 70, 962, 1545, 174, 1034, 54, 52], [1, 0, 0, 0, 56, 427, 63, 983, 1510, 209, 1013, 61, 51], [1, 0, 0, 0, 56, 428, 56, 1004, 1475, 244, 992, 68, 50], [1, 0, 0, 0, 56, 429, 49, 1025, 1440, 279, 971, 75, 49], [1, 0, 0, 0, 56, 430, 42, 1046, 1405, 314, 950, 82, 48], [1, 0, 0, 0, 56, 431, 35, 1067, 1370, 349, 929, 89, 47], [1, 0, 0, 0, 56, 432, 28, 1088, 1335, 384, 908, 96, 46], [1, 0, 0, 0, 56, 433, 21, 1109, 1300, 419, 887, 103, 45], [1, 0, 0, 0, 56, 434, 14, 1130, 1265, 454, 866, 110, 44], [1, 0, 0, 0, 56, 435, 7, 1151, 1230, 489, 845, 117, 43], [1, 0, 0, 0, 56, 436, 0, 1172, 1195, 524, 824, 124, 42], [1, 0, 0, 0, 57, 415, 119, 843, 1720, 13, 1125, 25, 56], [1, 0, 0, 0, 57, 416, 112, 864, 1685, 48, 1104, 32, 55], [1, 0, 0, 0, 57, 417, 105, 885, 1650, 83, 1083, 39, 54], [1, 0, 0, 0, 57, 418, 98, 906, 1615, 118, 1062, 46, 53], [1, 0, 0, 0, 57, 419, 91, 927, 1580, 153, 1041, 53, 52], [1, 0, 0, 0, 57, 420, 84, 948, 1545, 188, 1020, 60, 51], [1, 0, 0, 0, 57, 421, 77, 969, 1510, 223, 999, 67, 50], [1, 0, 0, 0, 57, 422, 70, 990, 1475, 258, 978, 74, 49], [1, 0, 0, 0, 57, 423, 63, 1011, 1440, 293, 957, 81, 48], [1, 0, 0, 0, 57, 424, 56, 1032, 1405, 328, 936, 88, 47], [1, 0, 0, 0, 57, 425, 49, 1053, 1370, 363, 915, 95, 46], [1, 0, 0, 0, 57, 426, 42, 1074, 1335, 398, 894, 102, 45], [1, 0, 0, 0, 57, 427, 35, 1095, 1300, 433, 873, 109, 44], [1, 0, 0, 0, 57, 428, 28, 1116, 1265, 468, 852, 116, 43], [1, 0, 0, 0, 57, 429, 21, 1137, 1230, 503, 831, 123, 42], [1, 0, 0, 0, 57, 430, 14, 1158, 1195, 538, 810, 130, 41], [1, 0, 0, 0, 57, 431, 7, 1179, 1160, 573, 789, 137, 40], [1, 0, 0, 0, 57, 432, 0, 1200, 1125, 608, 768, 144, 39], [1, 0, 0, 0, 58, 409, 133, 829, 1720, 27, 1111, 31, 55], [1, 0, 0, 0, 58, 410, 126, 850, 1685, 62, 1090, 38, 54], [1, 0, 0, 0, 58, 411, 119, 871, 1650, 97, 1069, 45, 53], [1, 0, 0, 0, 58, 412, 112, 892, 1615, 132, 1048, 52, 52], [1, 0, 0, 0, 58, 413, 105, 913, 1580, 167, 1027, 59, 51], [1, 0, 0, 0, 58, 414, 98, 934, 1545, 202, 1006, 66, 50], [1, 0, 0, 0, 58, 415, 91, 955, 1510, 237, 985, 73, 49], [1, 0, 0, 0, 58, 416, 84, 976, 1475, 272, 964, 80, 48], [1, 0, 0, 0, 58, 417, 77, 997, 1440, 307, 943, 87, 47], [1, 0, 0, 0, 58, 418, 70, 1018, 1405, 342, 922, 94, 46], [1, 0, 0, 0, 58, 419, 63, 1039, 1370, 377, 901, 101, 45], [1, 0, 0, 0, 58, 420, 56, 1060, 1335, 412, 880, 108, 44], [1, 0, 0, 0, 58, 421, 49, 1081, 1300, 447, 859, 115, 43], [1, 0, 0, 0, 58, 422, 42, 1102, 1265, 482, 838, 122, 42], [1, 0, 0, 0, 58, 423, 35, 1123, 1230, 517, 817, 129, 41], [1, 0, 0, 0, 58, 424, 28, 1144, 1195, 552, 796, 136, 40], [1, 0, 0, 0, 58, 425, 21, 1165, 1160, 587, 775, 143, 39], [1, 0, 0, 0, 58, 426, 14, 1186, 1125, 622, 754, 150, 38], [1, 0, 0, 0, 58, 427, 7, 1207, 1090, 657, 733, 157, 37], [1, 0, 0, 0, 58, 428, 0, 1228, 1055, 692, 712, 164, 36], [1, 0, 0, 0, 59, 402, 154, 794, 1755, 6, 1118, 30, 55], [1, 0, 0, 0, 59, 403, 147, 815, 1720, 41, 1097, 37, 54], [1, 0, 0, 0, 59, 404, 140, 836, 1685, 76, 1076, 44, 53], [1, 0, 0, 0, 59, 405, 133, 857, 1650, 111, 1055, 51, 52], [1, 0, 0, 0, 59, 406, 126, 878, 1615, 146, 1034, 58, 51], [1, 0, 0, 0, 59, 407, 119, 899, 1580, 181, 1013, 65, 50], [1, 0, 0, 0, 59, 408, 112, 920, 1545, 216, 992, 72, 49], [1, 0, 0, 0, 59, 409, 105, 941, 1510, 251, 971, 79, 48], [1, 0, 0, 0, 59, 410, 98, 962, 1475, 286, 950, 86, 47], [1, 0, 0, 0, 59, 411, 91, 983, 1440, 321, 929, 93, 46], [1, 0, 0, 0, 59, 412, 84, 1004, 1405, 356, 908, 100, 45], [1, 0, 0, 0, 59, 413, 77, 1025, 1370, 391, 887, 107, 44], [1, 0, 0, 0, 59, 414, 70, 1046, 1335, 426, 866, 114, 43], [1, 0, 0, 0, 59, 415, 63, 1067, 1300, 461, 845, 121, 42], [1, 0, 0, 0, 59, 416, 56, 1088, 1265, 496, 824, 128, 41], [1, 0, 0, 0, 59, 417, 49, 1109, 1230, 531, 803, 135, 40], [1, 0, 0, 0, 59, 418, 42, 1130, 1195, 566, 782, 142, 39], [1, 0, 0, 0, 59, 419, 35, 1151, 1160, 601, 761, 149, 38], [1, 0, 0, 0, 59, 420, 28, 1172, 1125, 636, 740, 156, 37], [1, 0, 0, 0, 59, 421, 21, 1193, 1090, 671, 719, 163, 36], [1, 0, 0, 0, 59, 422, 14, 1214, 1055, 706, 698, 170, 35], [1, 0, 0, 0, 59, 423, 7, 1235, 1020, 741, 677, 177, 34], [1, 0, 0, 0, 59, 424, 0, 1256, 985, 776, 656, 184, 33], [1, 0, 0, 0, 60, 396, 168, 780, 1755, 20, 1104, 36, 54], [1, 0, 0, 0, 60, 397, 161, 801, 1720, 55, 1083, 43, 53], [1, 0, 0, 0, 60, 398, 154, 822, 1685, 90, 1062, 50, 52], [1, 0, 0, 0, 60, 399, 147, 843, 1650, 125, 1041, 57, 51], [1, 0, 0, 0, 60, 400, 140, 864, 1615, 160, 1020, 64, 50], [1, 0, 0, 0, 60, 401, 133, 885, 1580, 195, 999, 71, 49], [1, 0, 0, 0, 60, 402, 126, 906, 1545, 230, 978, 78, 48], [1, 0, 0, 0, 60, 403, 119, 927, 1510, 265, 957, 85, 47], [1, 0, 0, 0, 60, 404, 112, 948, 1475, 300, 936, 92, 46], [1, 0, 0, 0, 60, 405, 105, 969, 1440, 335, 915, 99, 45], [1, 0, 0, 0, 60, 406, 98, 990, 1405, 370, 894, 106, 44], [1, 0, 0, 0, 60, 407, 91, 1011, 1370, 405, 873, 113, 43], [1, 0, 0, 0, 60, 408, 84, 1032, 1335, 440, 852, 120, 42], [1, 0, 0, 0, 60, 409, 77, 1053, 1300, 475, 831, 127, 41], [1, 0, 0, 0, 60, 410, 70, 1074, 1265, 510, 810, 134, 40], [1, 0, 0, 0, 60, 411, 63, 1095, 1230, 545, 789, 141, 39], [1, 0, 0, 0, 60, 412, 56, 1116, 1195, 580, 768, 148, 38], [1, 0, 0, 0, 60, 413, 49, 1137, 1160, 615, 747, 155, 37], [1, 0, 0, 0, 60, 414, 42, 1158, 1125, 650, 726, 162, 36], [1, 0, 0, 0, 60, 415, 35, 1179, 1090, 685, 705, 169, 35], [1, 0, 0, 0, 60, 416, 28, 1200, 1055, 720, 684, 176, 34], [1, 0, 0, 0, 60, 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