-------
(13, 4096, 8) ALL distance distributions for EXTERNAL point
(8, 4096, 8) has 0 possible DDs: {}
(9, 4096, 8) has 1 possible DDs: {[0, 144, 0, 1344, 0, 2016, 0, 576, 0, 16]}
(10, 4096, 8) has 9 possible DDs: {[0, 72, 72, 672, 672, 1008, 1008, 288, 288, 8, 8], [0, 73, 63, 708, 588, 1134, 882, 372, 252, 17, 7], [0, 74, 54, 744, 504, 1260, 756, 456, 216, 26, 6], [0, 75, 45, 780, 420, 1386, 630, 540, 180, 35, 5], [0, 76, 36, 816, 336, 1512, 504, 624, 144, 44, 4], [0, 77, 27, 852, 252, 1638, 378, 708, 108, 53, 3], [0, 78, 18, 888, 168, 1764, 252, 792, 72, 62, 2], [0, 79, 9, 924, 84, 1890, 126, 876, 36, 71, 1], [0, 80, 0, 960, 0, 2016, 0, 960, 0, 80, 0]}
(11, 4096, 8) has 71 possible DDs: {[0, 29, 134, 129, 1224, 42, 1764, 186, 456, 121, 6, 5], [0, 30, 125, 165, 1140, 168, 1638, 270, 420, 130, 5, 5], [0, 30, 126, 156, 1176, 84, 1764, 144, 504, 94, 14, 4], [0, 30, 127, 147, 1212, 0, 1890, 18, 588, 58, 23, 3], [0, 31, 116, 201, 1056, 294, 1512, 354, 384, 139, 4, 5], [0, 31, 117, 192, 1092, 210, 1638, 228, 468, 103, 13, 4], [0, 31, 118, 183, 1128, 126, 1764, 102, 552, 67, 22, 3], [0, 32, 107, 237, 972, 420, 1386, 438, 348, 148, 3, 5], [0, 32, 108, 228, 1008, 336, 1512, 312, 432, 112, 12, 4], [0, 32, 109, 219, 1044, 252, 1638, 186, 516, 76, 21, 3], [0, 32, 110, 210, 1080, 168, 1764, 60, 600, 40, 30, 2], [0, 33, 98, 273, 888, 546, 1260, 522, 312, 157, 2, 5], [0, 33, 99, 264, 924, 462, 1386, 396, 396, 121, 11, 4], [0, 33, 100, 255, 960, 378, 1512, 270, 480, 85, 20, 3], [0, 33, 101, 246, 996, 294, 1638, 144, 564, 49, 29, 2], [0, 33, 102, 237, 1032, 210, 1764, 18, 648, 13, 38, 1], [0, 34, 89, 309, 804, 672, 1134, 606, 276, 166, 1, 5], [0, 34, 90, 300, 840, 588, 1260, 480, 360, 130, 10, 4], [0, 34, 91, 291, 876, 504, 1386, 354, 444, 94, 19, 3], [0, 34, 92, 282, 912, 420, 1512, 228, 528, 58, 28, 2], [0, 34, 93, 273, 948, 336, 1638, 102, 612, 22, 37, 1], [0, 35, 80, 345, 720, 798, 1008, 690, 240, 175, 0, 5], [0, 35, 81, 336, 756, 714, 1134, 564, 324, 139, 9, 4], [0, 35, 82, 327, 792, 630, 1260, 438, 408, 103, 18, 3], [0, 35, 83, 318, 828, 546, 1386, 312, 492, 67, 27, 2], [0, 35, 84, 309, 864, 462, 1512, 186, 576, 31, 36, 1], [0, 36, 72, 372, 672, 840, 1008, 648, 288, 148, 8, 4], [0, 36, 73, 363, 708, 756, 1134, 522, 372, 112, 17, 3], [0, 36, 74, 354, 744, 672, 1260, 396, 456, 76, 26, 2], [0, 36, 75, 345, 780, 588, 1386, 270, 540, 40, 35, 1], [0, 36, 76, 336, 816, 504, 1512, 144, 624, 4, 44, 0], [0, 37, 63, 408, 588, 966, 882, 732, 252, 157, 7, 4], [0, 37, 64, 399, 624, 882, 1008, 606, 336, 121, 16, 3], [0, 37, 65, 390, 660, 798, 1134, 480, 420, 85, 25, 2], [0, 37, 66, 381, 696, 714, 1260, 354, 504, 49, 34, 1], [0, 37, 67, 372, 732, 630, 1386, 228, 588, 13, 43, 0], [0, 38, 54, 444, 504, 1092, 756, 816, 216, 166, 6, 4], [0, 38, 55, 435, 540, 1008, 882, 690, 300, 130, 15, 3], [0, 38, 56, 426, 576, 924, 1008, 564, 384, 94, 24, 2], [0, 38, 57, 417, 612, 840, 1134, 438, 468, 58, 33, 1], [0, 38, 58, 408, 648, 756, 1260, 312, 552, 22, 42, 0], [0, 39, 45, 480, 420, 1218, 630, 900, 180, 175, 5, 4], [0, 39, 46, 471, 456, 1134, 756, 774, 264, 139, 14, 3], [0, 39, 47, 462, 492, 1050, 882, 648, 348, 103, 23, 2], [0, 39, 48, 453, 528, 966, 1008, 522, 432, 67, 32, 1], [0, 39, 49, 444, 564, 882, 1134, 396, 516, 31, 41, 0], [0, 40, 36, 516, 336, 1344, 504, 984, 144, 184, 4, 4], [0, 40, 37, 507, 372, 1260, 630, 858, 228, 148, 13, 3], [0, 40, 38, 498, 408, 1176, 756, 732, 312, 112, 22, 2], [0, 40, 39, 489, 444, 1092, 882, 606, 396, 76, 31, 1], [0, 40, 40, 480, 480, 1008, 1008, 480, 480, 40, 40, 0], [0, 41, 27, 552, 252, 1470, 378, 1068, 108, 193, 3, 4], [0, 41, 28, 543, 288, 1386, 504, 942, 192, 157, 12, 3], [0, 41, 29, 534, 324, 1302, 630, 816, 276, 121, 21, 2], [0, 41, 30, 525, 360, 1218, 756, 690, 360, 85, 30, 1], [0, 41, 31, 516, 396, 1134, 882, 564, 444, 49, 39, 0], [0, 42, 18, 588, 168, 1596, 252, 1152, 72, 202, 2, 4], [0, 42, 19, 579, 204, 1512, 378, 1026, 156, 166, 11, 3], [0, 42, 20, 570, 240, 1428, 504, 900, 240, 130, 20, 2], [0, 42, 21, 561, 276, 1344, 630, 774, 324, 94, 29, 1], [0, 42, 22, 552, 312, 1260, 756, 648, 408, 58, 38, 0], [0, 43, 9, 624, 84, 1722, 126, 1236, 36, 211, 1, 4], [0, 43, 10, 615, 120, 1638, 252, 1110, 120, 175, 10, 3], [0, 43, 11, 606, 156, 1554, 378, 984, 204, 139, 19, 2], [0, 43, 12, 597, 192, 1470, 504, 858, 288, 103, 28, 1], [0, 43, 13, 588, 228, 1386, 630, 732, 372, 67, 37, 0], [0, 44, 0, 660, 0, 1848, 0, 1320, 0, 220, 0, 4], [0, 44, 1, 651, 36, 1764, 126, 1194, 84, 184, 9, 3], [0, 44, 2, 642, 72, 1680, 252, 1068, 168, 148, 18, 2], [0, 44, 3, 633, 108, 1596, 378, 942, 252, 112, 27, 1], [0, 44, 4, 624, 144, 1512, 504, 816, 336, 76, 36, 0]}
(12, 4096, 8) has 463 possible DDs: {[0, 9, 123, 4, 864, 558, 714, 1332, 36, 401, 51, 0, 4], [0, 10, 114, 40, 780, 684, 588, 1416, 0, 410, 50, 0, 4], [0, 10, 116, 23, 843, 552, 756, 1290, 42, 422, 32, 7, 3], [0, 10, 117, 14, 879, 468, 882, 1164, 126, 386, 41, 6, 3], [0, 10, 117, 15, 870, 504, 798, 1290, 0, 470, 5, 15, 2], [0, 10, 118, 5, 915, 384, 1008, 1038, 210, 350, 50, 5, 3], [0, 10, 118, 6, 906, 420, 924, 1164, 84, 434, 14, 14, 2], [0, 11, 107, 59, 759, 678, 630, 1374, 6, 431, 31, 7, 3], [0, 11, 108, 50, 795, 594, 756, 1248, 90, 395, 40, 6, 3], [0, 11, 109, 41, 831, 510, 882, 1122, 174, 359, 49, 5, 3], [0, 11, 109, 42, 822, 546, 798, 1248, 48, 443, 13, 14, 2], [0, 11, 110, 32, 867, 426, 1008, 996, 258, 323, 58, 4, 3], [0, 11, 110, 33, 858, 462, 924, 1122, 132, 407, 22, 13, 2], [0, 11, 111, 23, 903, 342, 1134, 870, 342, 287, 67, 3, 3], [0, 11, 111, 24, 894, 378, 1050, 996, 216, 371, 31, 12, 2], [0, 11, 112, 14, 939, 258, 1260, 744, 426, 251, 76, 2, 3], [0, 11, 112, 15, 930, 294, 1176, 870, 300, 335, 40, 11, 2], [0, 11, 112, 16, 921, 330, 1092, 996, 174, 419, 4, 20, 1], [0, 11, 113, 5, 975, 174, 1386, 618, 510, 215, 85, 1, 3], [0, 11, 113, 6, 966, 210, 1302, 744, 384, 299, 49, 10, 2], [0, 11, 113, 7, 957, 246, 1218, 870, 258, 383, 13, 19, 1], [0, 12, 99, 86, 711, 720, 630, 1332, 54, 404, 39, 6, 3], [0, 12, 100, 77, 747, 636, 756, 1206, 138, 368, 48, 5, 3], [0, 12, 100, 78, 738, 672, 672, 1332, 12, 452, 12, 14, 2], [0, 12, 101, 68, 783, 552, 882, 1080, 222, 332, 57, 4, 3], [0, 12, 101, 69, 774, 588, 798, 1206, 96, 416, 21, 13, 2], [0, 12, 102, 59, 819, 468, 1008, 954, 306, 296, 66, 3, 3], [0, 12, 102, 60, 810, 504, 924, 1080, 180, 380, 30, 12, 2], [0, 12, 103, 50, 855, 384, 1134, 828, 390, 260, 75, 2, 3], [0, 12, 103, 51, 846, 420, 1050, 954, 264, 344, 39, 11, 2], [0, 12, 103, 52, 837, 456, 966, 1080, 138, 428, 3, 20, 1], [0, 12, 104, 41, 891, 300, 1260, 702, 474, 224, 84, 1, 3], [0, 12, 104, 42, 882, 336, 1176, 828, 348, 308, 48, 10, 2], [0, 12, 104, 43, 873, 372, 1092, 954, 222, 392, 12, 19, 1], [0, 12, 105, 32, 927, 216, 1386, 576, 558, 188, 93, 0, 3], [0, 12, 105, 33, 918, 252, 1302, 702, 432, 272, 57, 9, 2], [0, 12, 105, 34, 909, 288, 1218, 828, 306, 356, 21, 18, 1], [0, 12, 106, 24, 954, 168, 1428, 576, 516, 236, 66, 8, 2], [0, 12, 106, 25, 945, 204, 1344, 702, 390, 320, 30, 17, 1], [0, 12, 107, 15, 990, 84, 1554, 450, 600, 200, 75, 7, 2], [0, 12, 107, 16, 981, 120, 1470, 576, 474, 284, 39, 16, 1], [0, 12, 107, 17, 972, 156, 1386, 702, 348, 368, 3, 25, 0], [0, 12, 108, 6, 1026, 0, 1680, 324, 684, 164, 84, 6, 2], [0, 12, 108, 7, 1017, 36, 1596, 450, 558, 248, 48, 15, 1], [0, 12, 108, 8, 1008, 72, 1512, 576, 432, 332, 12, 24, 0], [0, 13, 90, 122, 627, 846, 504, 1416, 18, 413, 38, 6, 3], [0, 13, 91, 113, 663, 762, 630, 1290, 102, 377, 47, 5, 3], [0, 13, 92, 104, 699, 678, 756, 1164, 186, 341, 56, 4, 3], [0, 13, 92, 105, 690, 714, 672, 1290, 60, 425, 20, 13, 2], [0, 13, 93, 95, 735, 594, 882, 1038, 270, 305, 65, 3, 3], [0, 13, 93, 96, 726, 630, 798, 1164, 144, 389, 29, 12, 2], [0, 13, 94, 86, 771, 510, 1008, 912, 354, 269, 74, 2, 3], [0, 13, 94, 87, 762, 546, 924, 1038, 228, 353, 38, 11, 2], [0, 13, 94, 88, 753, 582, 840, 1164, 102, 437, 2, 20, 1], [0, 13, 95, 77, 807, 426, 1134, 786, 438, 233, 83, 1, 3], [0, 13, 95, 78, 798, 462, 1050, 912, 312, 317, 47, 10, 2], [0, 13, 95, 79, 789, 498, 966, 1038, 186, 401, 11, 19, 1], [0, 13, 96, 68, 843, 342, 1260, 660, 522, 197, 92, 0, 3], [0, 13, 96, 69, 834, 378, 1176, 786, 396, 281, 56, 9, 2], [0, 13, 96, 70, 825, 414, 1092, 912, 270, 365, 20, 18, 1], [0, 13, 97, 60, 870, 294, 1302, 660, 480, 245, 65, 8, 2], [0, 13, 97, 61, 861, 330, 1218, 786, 354, 329, 29, 17, 1], [0, 13, 98, 51, 906, 210, 1428, 534, 564, 209, 74, 7, 2], [0, 13, 98, 52, 897, 246, 1344, 660, 438, 293, 38, 16, 1], [0, 13, 98, 53, 888, 282, 1260, 786, 312, 377, 2, 25, 0], [0, 13, 99, 42, 942, 126, 1554, 408, 648, 173, 83, 6, 2], [0, 13, 99, 43, 933, 162, 1470, 534, 522, 257, 47, 15, 1], [0, 13, 99, 44, 924, 198, 1386, 660, 396, 341, 11, 24, 0], [0, 13, 100, 33, 978, 42, 1680, 282, 732, 137, 92, 5, 2], [0, 13, 100, 34, 969, 78, 1596, 408, 606, 221, 56, 14, 1], [0, 13, 100, 35, 960, 114, 1512, 534, 480, 305, 20, 23, 0], [0, 13, 101, 26, 996, 30, 1638, 408, 564, 269, 29, 22, 0], [0, 14, 82, 149, 579, 888, 504, 1374, 66, 386, 46, 5, 3], [0, 14, 83, 140, 615, 804, 630, 1248, 150, 350, 55, 4, 3], [0, 14, 83, 141, 606, 840, 546, 1374, 24, 434, 19, 13, 2], [0, 14, 84, 131, 651, 720, 756, 1122, 234, 314, 64, 3, 3], [0, 14, 84, 132, 642, 756, 672, 1248, 108, 398, 28, 12, 2], [0, 14, 85, 122, 687, 636, 882, 996, 318, 278, 73, 2, 3], [0, 14, 85, 123, 678, 672, 798, 1122, 192, 362, 37, 11, 2], [0, 14, 85, 124, 669, 708, 714, 1248, 66, 446, 1, 20, 1], [0, 14, 86, 113, 723, 552, 1008, 870, 402, 242, 82, 1, 3], [0, 14, 86, 114, 714, 588, 924, 996, 276, 326, 46, 10, 2], [0, 14, 86, 115, 705, 624, 840, 1122, 150, 410, 10, 19, 1], [0, 14, 87, 104, 759, 468, 1134, 744, 486, 206, 91, 0, 3], [0, 14, 87, 105, 750, 504, 1050, 870, 360, 290, 55, 9, 2], [0, 14, 87, 106, 741, 540, 966, 996, 234, 374, 19, 18, 1], [0, 14, 88, 96, 786, 420, 1176, 744, 444, 254, 64, 8, 2], [0, 14, 88, 97, 777, 456, 1092, 870, 318, 338, 28, 17, 1], [0, 14, 89, 87, 822, 336, 1302, 618, 528, 218, 73, 7, 2], [0, 14, 89, 88, 813, 372, 1218, 744, 402, 302, 37, 16, 1], [0, 14, 89, 89, 804, 408, 1134, 870, 276, 386, 1, 25, 0], [0, 14, 90, 78, 858, 252, 1428, 492, 612, 182, 82, 6, 2], [0, 14, 90, 79, 849, 288, 1344, 618, 486, 266, 46, 15, 1], [0, 14, 90, 80, 840, 324, 1260, 744, 360, 350, 10, 24, 0], [0, 14, 91, 69, 894, 168, 1554, 366, 696, 146, 91, 5, 2], [0, 14, 91, 70, 885, 204, 1470, 492, 570, 230, 55, 14, 1], [0, 14, 91, 71, 876, 240, 1386, 618, 444, 314, 19, 23, 0], [0, 14, 92, 60, 930, 84, 1680, 240, 780, 110, 100, 4, 2], [0, 14, 92, 61, 921, 120, 1596, 366, 654, 194, 64, 13, 1], [0, 14, 92, 62, 912, 156, 1512, 492, 528, 278, 28, 22, 0], [0, 14, 93, 51, 966, 0, 1806, 114, 864, 74, 109, 3, 2], [0, 14, 93, 52, 957, 36, 1722, 240, 738, 158, 73, 12, 1], [0, 14, 93, 53, 948, 72, 1638, 366, 612, 242, 37, 21, 0], [0, 15, 73, 185, 495, 1014, 378, 1458, 30, 395, 45, 5, 3], [0, 15, 74, 176, 531, 930, 504, 1332, 114, 359, 54, 4, 3], [0, 15, 75, 167, 567, 846, 630, 1206, 198, 323, 63, 3, 3], [0, 15, 75, 168, 558, 882, 546, 1332, 72, 407, 27, 12, 2], [0, 15, 76, 158, 603, 762, 756, 1080, 282, 287, 72, 2, 3], [0, 15, 76, 159, 594, 798, 672, 1206, 156, 371, 36, 11, 2], [0, 15, 76, 160, 585, 834, 588, 1332, 30, 455, 0, 20, 1], [0, 15, 77, 149, 639, 678, 882, 954, 366, 251, 81, 1, 3], [0, 15, 77, 150, 630, 714, 798, 1080, 240, 335, 45, 10, 2], [0, 15, 77, 151, 621, 750, 714, 1206, 114, 419, 9, 19, 1], [0, 15, 78, 140, 675, 594, 1008, 828, 450, 215, 90, 0, 3], [0, 15, 78, 141, 666, 630, 924, 954, 324, 299, 54, 9, 2], [0, 15, 78, 142, 657, 666, 840, 1080, 198, 383, 18, 18, 1], [0, 15, 79, 132, 702, 546, 1050, 828, 408, 263, 63, 8, 2], [0, 15, 79, 133, 693, 582, 966, 954, 282, 347, 27, 17, 1], [0, 15, 80, 123, 738, 462, 1176, 702, 492, 227, 72, 7, 2], [0, 15, 80, 124, 729, 498, 1092, 828, 366, 311, 36, 16, 1], [0, 15, 80, 125, 720, 534, 1008, 954, 240, 395, 0, 25, 0], [0, 15, 81, 114, 774, 378, 1302, 576, 576, 191, 81, 6, 2], [0, 15, 81, 115, 765, 414, 1218, 702, 450, 275, 45, 15, 1], [0, 15, 81, 116, 756, 450, 1134, 828, 324, 359, 9, 24, 0], [0, 15, 82, 105, 810, 294, 1428, 450, 660, 155, 90, 5, 2], [0, 15, 82, 106, 801, 330, 1344, 576, 534, 239, 54, 14, 1], [0, 15, 82, 107, 792, 366, 1260, 702, 408, 323, 18, 23, 0], [0, 15, 83, 96, 846, 210, 1554, 324, 744, 119, 99, 4, 2], [0, 15, 83, 97, 837, 246, 1470, 450, 618, 203, 63, 13, 1], [0, 15, 83, 98, 828, 282, 1386, 576, 492, 287, 27, 22, 0], [0, 15, 84, 87, 882, 126, 1680, 198, 828, 83, 108, 3, 2], [0, 15, 84, 88, 873, 162, 1596, 324, 702, 167, 72, 12, 1], [0, 15, 84, 89, 864, 198, 1512, 450, 576, 251, 36, 21, 0], [0, 15, 85, 78, 918, 42, 1806, 72, 912, 47, 117, 2, 2], [0, 15, 85, 79, 909, 78, 1722, 198, 786, 131, 81, 11, 1], [0, 15, 85, 80, 900, 114, 1638, 324, 660, 215, 45, 20, 0], [0, 15, 86, 71, 936, 30, 1764, 198, 744, 179, 54, 19, 0], [0, 16, 65, 212, 447, 1056, 378, 1416, 78, 368, 53, 4, 3], [0, 16, 66, 203, 483, 972, 504, 1290, 162, 332, 62, 3, 3], [0, 16, 66, 204, 474, 1008, 420, 1416, 36, 416, 26, 12, 2], [0, 16, 67, 194, 519, 888, 630, 1164, 246, 296, 71, 2, 3], [0, 16, 67, 195, 510, 924, 546, 1290, 120, 380, 35, 11, 2], [0, 16, 68, 185, 555, 804, 756, 1038, 330, 260, 80, 1, 3], [0, 16, 68, 186, 546, 840, 672, 1164, 204, 344, 44, 10, 2], [0, 16, 68, 187, 537, 876, 588, 1290, 78, 428, 8, 19, 1], [0, 16, 69, 176, 591, 720, 882, 912, 414, 224, 89, 0, 3], [0, 16, 69, 177, 582, 756, 798, 1038, 288, 308, 53, 9, 2], [0, 16, 69, 178, 573, 792, 714, 1164, 162, 392, 17, 18, 1], [0, 16, 70, 168, 618, 672, 924, 912, 372, 272, 62, 8, 2], [0, 16, 70, 169, 609, 708, 840, 1038, 246, 356, 26, 17, 1], [0, 16, 71, 159, 654, 588, 1050, 786, 456, 236, 71, 7, 2], [0, 16, 71, 160, 645, 624, 966, 912, 330, 320, 35, 16, 1], [0, 16, 72, 150, 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750, 1218, 366, 834, 59, 109, 7, 1], [0, 23, 17, 332, 372, 786, 1134, 492, 708, 143, 73, 16, 0], [0, 23, 18, 322, 417, 666, 1344, 240, 918, 23, 118, 6, 1], [0, 23, 18, 323, 408, 702, 1260, 366, 792, 107, 82, 15, 0], [0, 23, 19, 314, 444, 618, 1386, 240, 876, 71, 91, 14, 0], [0, 23, 20, 305, 480, 534, 1512, 114, 960, 35, 100, 13, 0], [0, 24, 0, 438, 18, 1512, 168, 1332, 252, 272, 72, 6, 2], [0, 24, 0, 439, 9, 1548, 84, 1458, 126, 356, 36, 15, 1], [0, 24, 0, 440, 0, 1584, 0, 1584, 0, 440, 0, 24, 0], [0, 24, 1, 429, 54, 1428, 294, 1206, 336, 236, 81, 5, 2], [0, 24, 1, 430, 45, 1464, 210, 1332, 210, 320, 45, 14, 1], [0, 24, 1, 431, 36, 1500, 126, 1458, 84, 404, 9, 23, 0], [0, 24, 2, 420, 90, 1344, 420, 1080, 420, 200, 90, 4, 2], [0, 24, 2, 421, 81, 1380, 336, 1206, 294, 284, 54, 13, 1], [0, 24, 2, 422, 72, 1416, 252, 1332, 168, 368, 18, 22, 0], [0, 24, 3, 411, 126, 1260, 546, 954, 504, 164, 99, 3, 2], [0, 24, 3, 412, 117, 1296, 462, 1080, 378, 248, 63, 12, 1], [0, 24, 3, 413, 108, 1332, 378, 1206, 252, 332, 27, 21, 0], [0, 24, 4, 402, 162, 1176, 672, 828, 588, 128, 108, 2, 2], [0, 24, 4, 403, 153, 1212, 588, 954, 462, 212, 72, 11, 1], [0, 24, 4, 404, 144, 1248, 504, 1080, 336, 296, 36, 20, 0], [0, 24, 5, 393, 198, 1092, 798, 702, 672, 92, 117, 1, 2], [0, 24, 5, 394, 189, 1128, 714, 828, 546, 176, 81, 10, 1], [0, 24, 5, 395, 180, 1164, 630, 954, 420, 260, 45, 19, 0], [0, 24, 6, 384, 234, 1008, 924, 576, 756, 56, 126, 0, 2], [0, 24, 6, 385, 225, 1044, 840, 702, 630, 140, 90, 9, 1], [0, 24, 6, 386, 216, 1080, 756, 828, 504, 224, 54, 18, 0], [0, 24, 7, 376, 261, 960, 966, 576, 714, 104, 99, 8, 1], [0, 24, 7, 377, 252, 996, 882, 702, 588, 188, 63, 17, 0], [0, 24, 8, 367, 297, 876, 1092, 450, 798, 68, 108, 7, 1], [0, 24, 8, 368, 288, 912, 1008, 576, 672, 152, 72, 16, 0], [0, 24, 9, 358, 333, 792, 1218, 324, 882, 32, 117, 6, 1], [0, 24, 9, 359, 324, 828, 1134, 450, 756, 116, 81, 15, 0], [0, 24, 10, 350, 360, 744, 1260, 324, 840, 80, 90, 14, 0], [0, 24, 11, 341, 396, 660, 1386, 198, 924, 44, 99, 13, 0], [0, 24, 12, 332, 432, 576, 1512, 72, 1008, 8, 108, 12, 0], [0, 25, 0, 394, 249, 918, 1092, 408, 846, 41, 116, 6, 1], [0, 25, 0, 395, 240, 954, 1008, 534, 720, 125, 80, 15, 0], [0, 25, 1, 385, 285, 834, 1218, 282, 930, 5, 125, 5, 1], [0, 25, 1, 386, 276, 870, 1134, 408, 804, 89, 89, 14, 0], [0, 25, 2, 377, 312, 786, 1260, 282, 888, 53, 98, 13, 0], [0, 25, 3, 368, 348, 702, 1386, 156, 972, 17, 107, 12, 0]}
(13, 4096, 8) has 2596 possible DDs: {[0, 0, 92, 24, 361, 1083, 12, 1548, 510, 154, 304, 4, 1, 3], [0, 0, 93, 15, 397, 999, 138, 1422, 594, 118, 313, 3, 1, 3], [0, 0, 93, 16, 388, 1035, 54, 1548, 468, 202, 277, 12, 0, 3], [0, 0, 94, 6, 433, 915, 264, 1296, 678, 82, 322, 2, 1, 3], [0, 0, 94, 7, 424, 951, 180, 1422, 552, 166, 286, 11, 0, 3], [0, 0, 95, 1, 434, 966, 90, 1590, 384, 256, 271, 1, 6, 2], [0, 0, 95, 2, 425, 1002, 6, 1716, 258, 340, 235, 10, 5, 2], [0, 1, 84, 51, 313, 1125, 12, 1506, 558, 127, 312, 3, 1, 3], [0, 1, 85, 42, 349, 1041, 138, 1380, 642, 91, 321, 2, 1, 3], [0, 1, 85, 43, 340, 1077, 54, 1506, 516, 175, 285, 11, 0, 3], [0, 1, 86, 33, 385, 957, 264, 1254, 726, 55, 330, 1, 1, 3], [0, 1, 86, 34, 376, 993, 180, 1380, 600, 139, 294, 10, 0, 3], [0, 1, 87, 24, 421, 873, 390, 1128, 810, 19, 339, 0, 1, 3], [0, 1, 87, 25, 412, 909, 306, 1254, 684, 103, 303, 9, 0, 3], [0, 1, 87, 28, 386, 1008, 90, 1548, 432, 229, 279, 0, 6, 2], [0, 1, 87, 29, 377, 1044, 6, 1674, 306, 313, 243, 9, 5, 2], [0, 1, 88, 16, 448, 825, 432, 1128, 768, 67, 312, 8, 0, 3], [0, 1, 88, 20, 413, 960, 132, 1548, 390, 277, 252, 8, 5, 2], [0, 1, 88, 21, 404, 996, 48, 1674, 264, 361, 216, 17, 4, 2], [0, 1, 89, 7, 484, 741, 558, 1002, 852, 31, 321, 7, 0, 3], [0, 1, 89, 11, 449, 876, 258, 1422, 474, 241, 261, 7, 5, 2], [0, 1, 89, 12, 440, 912, 174, 1548, 348, 325, 225, 16, 4, 2], [0, 1, 89, 13, 431, 948, 90, 1674, 222, 409, 189, 25, 3, 2], [0, 1, 89, 14, 422, 984, 6, 1800, 96, 493, 153, 34, 2, 2], [0, 1, 90, 2, 485, 792, 384, 1296, 558, 205, 270, 6, 5, 2], [0, 1, 90, 3, 476, 828, 300, 1422, 432, 289, 234, 15, 4, 2], [0, 1, 90, 4, 467, 864, 216, 1548, 306, 373, 198, 24, 3, 2], [0, 1, 90, 5, 458, 900, 132, 1674, 180, 457, 162, 33, 2, 2], [0, 1, 90, 6, 449, 936, 48, 1800, 54, 541, 126, 42, 1, 2], [0, 1, 90, 6, 450, 927, 84, 1716, 180, 415, 210, 6, 10, 1], [0, 1, 90, 7, 441, 963, 0, 1842, 54, 499, 174, 15, 9, 1], [0, 2, 76, 78, 265, 1167, 12, 1464, 606, 100, 320, 2, 1, 3], [0, 2, 77, 69, 301, 1083, 138, 1338, 690, 64, 329, 1, 1, 3], [0, 2, 77, 70, 292, 1119, 54, 1464, 564, 148, 293, 10, 0, 3], [0, 2, 78, 60, 337, 999, 264, 1212, 774, 28, 338, 0, 1, 3], [0, 2, 78, 61, 328, 1035, 180, 1338, 648, 112, 302, 9, 0, 3], [0, 2, 79, 52, 364, 951, 306, 1212, 732, 76, 311, 8, 0, 3], [0, 2, 79, 56, 329, 1086, 6, 1632, 354, 286, 251, 8, 5, 2], [0, 2, 80, 43, 400, 867, 432, 1086, 816, 40, 320, 7, 0, 3], [0, 2, 80, 47, 365, 1002, 132, 1506, 438, 250, 260, 7, 5, 2], [0, 2, 80, 48, 356, 1038, 48, 1632, 312, 334, 224, 16, 4, 2], [0, 2, 81, 34, 436, 783, 558, 960, 900, 4, 329, 6, 0, 3], [0, 2, 81, 38, 401, 918, 258, 1380, 522, 214, 269, 6, 5, 2], [0, 2, 81, 39, 392, 954, 174, 1506, 396, 298, 233, 15, 4, 2], [0, 2, 81, 40, 383, 990, 90, 1632, 270, 382, 197, 24, 3, 2], [0, 2, 81, 41, 374, 1026, 6, 1758, 144, 466, 161, 33, 2, 2], [0, 2, 82, 29, 437, 834, 384, 1254, 606, 178, 278, 5, 5, 2], [0, 2, 82, 30, 428, 870, 300, 1380, 480, 262, 242, 14, 4, 2], [0, 2, 82, 31, 419, 906, 216, 1506, 354, 346, 206, 23, 3, 2], [0, 2, 82, 32, 410, 942, 132, 1632, 228, 430, 170, 32, 2, 2], [0, 2, 82, 33, 401, 978, 48, 1758, 102, 514, 134, 41, 1, 2], [0, 2, 82, 33, 402, 969, 84, 1674, 228, 388, 218, 5, 10, 1], [0, 2, 82, 34, 393, 1005, 0, 1800, 102, 472, 182, 14, 9, 1], [0, 2, 83, 20, 473, 750, 510, 1128, 690, 142, 287, 4, 5, 2], [0, 2, 83, 21, 464, 786, 426, 1254, 564, 226, 251, 13, 4, 2], [0, 2, 83, 22, 455, 822, 342, 1380, 438, 310, 215, 22, 3, 2], [0, 2, 83, 23, 446, 858, 258, 1506, 312, 394, 179, 31, 2, 2], [0, 2, 83, 24, 437, 894, 174, 1632, 186, 478, 143, 40, 1, 2], [0, 2, 83, 24, 438, 885, 210, 1548, 312, 352, 227, 4, 10, 1], [0, 2, 83, 25, 428, 930, 90, 1758, 60, 562, 107, 49, 0, 2], [0, 2, 83, 25, 429, 921, 126, 1674, 186, 436, 191, 13, 9, 1], [0, 2, 83, 26, 420, 957, 42, 1800, 60, 520, 155, 22, 8, 1], [0, 2, 84, 11, 509, 666, 636, 1002, 774, 106, 296, 3, 5, 2], [0, 2, 84, 12, 500, 702, 552, 1128, 648, 190, 260, 12, 4, 2], [0, 2, 84, 13, 491, 738, 468, 1254, 522, 274, 224, 21, 3, 2], [0, 2, 84, 14, 482, 774, 384, 1380, 396, 358, 188, 30, 2, 2], [0, 2, 84, 15, 473, 810, 300, 1506, 270, 442, 152, 39, 1, 2], [0, 2, 84, 15, 474, 801, 336, 1422, 396, 316, 236, 3, 10, 1], [0, 2, 84, 16, 464, 846, 216, 1632, 144, 526, 116, 48, 0, 2], [0, 2, 84, 16, 465, 837, 252, 1548, 270, 400, 200, 12, 9, 1], [0, 2, 84, 17, 456, 873, 168, 1674, 144, 484, 164, 21, 8, 1], [0, 2, 84, 18, 447, 909, 84, 1800, 18, 568, 128, 30, 7, 1], [0, 2, 84, 19, 439, 936, 36, 1842, 18, 526, 176, 3, 15, 0], [0, 2, 85, 2, 545, 582, 762, 876, 858, 70, 305, 2, 5, 2], [0, 2, 85, 3, 536, 618, 678, 1002, 732, 154, 269, 11, 4, 2], [0, 2, 85, 4, 527, 654, 594, 1128, 606, 238, 233, 20, 3, 2], [0, 2, 85, 5, 518, 690, 510, 1254, 480, 322, 197, 29, 2, 2], [0, 2, 85, 6, 509, 726, 426, 1380, 354, 406, 161, 38, 1, 2], [0, 2, 85, 6, 510, 717, 462, 1296, 480, 280, 245, 2, 10, 1], [0, 2, 85, 7, 500, 762, 342, 1506, 228, 490, 125, 47, 0, 2], [0, 2, 85, 7, 501, 753, 378, 1422, 354, 364, 209, 11, 9, 1], [0, 2, 85, 8, 492, 789, 294, 1548, 228, 448, 173, 20, 8, 1], [0, 2, 85, 9, 483, 825, 210, 1674, 102, 532, 137, 29, 7, 1], [0, 2, 85, 10, 475, 852, 162, 1716, 102, 490, 185, 2, 15, 0], [0, 2, 86, 0, 519, 741, 336, 1548, 186, 496, 146, 28, 7, 1], [0, 2, 86, 1, 510, 777, 252, 1674, 60, 580, 110, 37, 6, 1], [0, 2, 86, 1, 511, 768, 288, 1590, 186, 454, 194, 1, 15, 0], [0, 2, 86, 2, 502, 804, 204, 1716, 60, 538, 158, 10, 14, 0], [0, 3, 68, 105, 217, 1209, 12, 1422, 654, 73, 328, 1, 1, 3], [0, 3, 69, 96, 253, 1125, 138, 1296, 738, 37, 337, 0, 1, 3], [0, 3, 69, 97, 244, 1161, 54, 1422, 612, 121, 301, 9, 0, 3], [0, 3, 70, 88, 280, 1077, 180, 1296, 696, 85, 310, 8, 0, 3], [0, 3, 71, 79, 316, 993, 306, 1170, 780, 49, 319, 7, 0, 3], [0, 3, 71, 83, 281, 1128, 6, 1590, 402, 259, 259, 7, 5, 2], [0, 3, 72, 70, 352, 909, 432, 1044, 864, 13, 328, 6, 0, 3], [0, 3, 72, 74, 317, 1044, 132, 1464, 486, 223, 268, 6, 5, 2], [0, 3, 72, 75, 308, 1080, 48, 1590, 360, 307, 232, 15, 4, 2], [0, 3, 73, 65, 353, 960, 258, 1338, 570, 187, 277, 5, 5, 2], [0, 3, 73, 66, 344, 996, 174, 1464, 444, 271, 241, 14, 4, 2], [0, 3, 73, 67, 335, 1032, 90, 1590, 318, 355, 205, 23, 3, 2], [0, 3, 73, 68, 326, 1068, 6, 1716, 192, 439, 169, 32, 2, 2], [0, 3, 74, 56, 389, 876, 384, 1212, 654, 151, 286, 4, 5, 2], [0, 3, 74, 57, 380, 912, 300, 1338, 528, 235, 250, 13, 4, 2], [0, 3, 74, 58, 371, 948, 216, 1464, 402, 319, 214, 22, 3, 2], [0, 3, 74, 59, 362, 984, 132, 1590, 276, 403, 178, 31, 2, 2], [0, 3, 74, 60, 353, 1020, 48, 1716, 150, 487, 142, 40, 1, 2], [0, 3, 74, 60, 354, 1011, 84, 1632, 276, 361, 226, 4, 10, 1], [0, 3, 74, 61, 345, 1047, 0, 1758, 150, 445, 190, 13, 9, 1], [0, 3, 75, 47, 425, 792, 510, 1086, 738, 115, 295, 3, 5, 2], [0, 3, 75, 48, 416, 828, 426, 1212, 612, 199, 259, 12, 4, 2], [0, 3, 75, 49, 407, 864, 342, 1338, 486, 283, 223, 21, 3, 2], [0, 3, 75, 50, 398, 900, 258, 1464, 360, 367, 187, 30, 2, 2], [0, 3, 75, 51, 389, 936, 174, 1590, 234, 451, 151, 39, 1, 2], [0, 3, 75, 51, 390, 927, 210, 1506, 360, 325, 235, 3, 10, 1], [0, 3, 75, 52, 380, 972, 90, 1716, 108, 535, 115, 48, 0, 2], [0, 3, 75, 52, 381, 963, 126, 1632, 234, 409, 199, 12, 9, 1], [0, 3, 75, 53, 372, 999, 42, 1758, 108, 493, 163, 21, 8, 1], [0, 3, 76, 38, 461, 708, 636, 960, 822, 79, 304, 2, 5, 2], [0, 3, 76, 39, 452, 744, 552, 1086, 696, 163, 268, 11, 4, 2], [0, 3, 76, 40, 443, 780, 468, 1212, 570, 247, 232, 20, 3, 2], [0, 3, 76, 41, 434, 816, 384, 1338, 444, 331, 196, 29, 2, 2], [0, 3, 76, 42, 425, 852, 300, 1464, 318, 415, 160, 38, 1, 2], [0, 3, 76, 42, 426, 843, 336, 1380, 444, 289, 244, 2, 10, 1], [0, 3, 76, 43, 416, 888, 216, 1590, 192, 499, 124, 47, 0, 2], [0, 3, 76, 43, 417, 879, 252, 1506, 318, 373, 208, 11, 9, 1], [0, 3, 76, 44, 408, 915, 168, 1632, 192, 457, 172, 20, 8, 1], [0, 3, 76, 45, 399, 951, 84, 1758, 66, 541, 136, 29, 7, 1], [0, 3, 76, 46, 391, 978, 36, 1800, 66, 499, 184, 2, 15, 0], [0, 3, 77, 29, 497, 624, 762, 834, 906, 43, 313, 1, 5, 2], [0, 3, 77, 30, 488, 660, 678, 960, 780, 127, 277, 10, 4, 2], [0, 3, 77, 31, 479, 696, 594, 1086, 654, 211, 241, 19, 3, 2], [0, 3, 77, 32, 470, 732, 510, 1212, 528, 295, 205, 28, 2, 2], [0, 3, 77, 33, 461, 768, 426, 1338, 402, 379, 169, 37, 1, 2], [0, 3, 77, 33, 462, 759, 462, 1254, 528, 253, 253, 1, 10, 1], [0, 3, 77, 34, 452, 804, 342, 1464, 276, 463, 133, 46, 0, 2], [0, 3, 77, 34, 453, 795, 378, 1380, 402, 337, 217, 10, 9, 1], [0, 3, 77, 35, 444, 831, 294, 1506, 276, 421, 181, 19, 8, 1], [0, 3, 77, 36, 435, 867, 210, 1632, 150, 505, 145, 28, 7, 1], [0, 3, 77, 37, 426, 903, 126, 1758, 24, 589, 109, 37, 6, 1], [0, 3, 77, 37, 427, 894, 162, 1674, 150, 463, 193, 1, 15, 0], [0, 3, 77, 38, 418, 930, 78, 1800, 24, 547, 157, 10, 14, 0], [0, 3, 78, 20, 533, 540, 888, 708, 990, 7, 322, 0, 5, 2], [0, 3, 78, 21, 524, 576, 804, 834, 864, 91, 286, 9, 4, 2], [0, 3, 78, 22, 515, 612, 720, 960, 738, 175, 250, 18, 3, 2], [0, 3, 78, 23, 506, 648, 636, 1086, 612, 259, 214, 27, 2, 2], [0, 3, 78, 24, 497, 684, 552, 1212, 486, 343, 178, 36, 1, 2], [0, 3, 78, 24, 498, 675, 588, 1128, 612, 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