-------
(13, 3328, 8) ALL distance distributions
(8, 3328, 8) has 1 possible DDs: {[13, 104, 364, 728, 910, 728, 364, 104, 13]}
(9, 3328, 8) has 14 possible DDs: {[0, 117, 0, 1092, 0, 1638, 0, 468, 0, 13], [1, 108, 36, 1008, 126, 1512, 84, 432, 9, 12], [2, 99, 72, 924, 252, 1386, 168, 396, 18, 11], [3, 90, 108, 840, 378, 1260, 252, 360, 27, 10], [4, 81, 144, 756, 504, 1134, 336, 324, 36, 9], [5, 72, 180, 672, 630, 1008, 420, 288, 45, 8], [6, 63, 216, 588, 756, 882, 504, 252, 54, 7], [7, 54, 252, 504, 882, 756, 588, 216, 63, 6], [8, 45, 288, 420, 1008, 630, 672, 180, 72, 5], [9, 36, 324, 336, 1134, 504, 756, 144, 81, 4], [10, 27, 360, 252, 1260, 378, 840, 108, 90, 3], [11, 18, 396, 168, 1386, 252, 924, 72, 99, 2], [12, 9, 432, 84, 1512, 126, 1008, 36, 108, 1], [13, 0, 468, 0, 1638, 0, 1092, 0, 117, 0]}
(10, 3328, 8) has 55 possible DDs: {[0, 58, 63, 528, 588, 756, 882, 192, 252, 2, 7], [0, 59, 54, 564, 504, 882, 756, 276, 216, 11, 6], [0, 60, 45, 600, 420, 1008, 630, 360, 180, 20, 5], [0, 61, 36, 636, 336, 1134, 504, 444, 144, 29, 4], [0, 62, 27, 672, 252, 1260, 378, 528, 108, 38, 3], [0, 63, 18, 708, 168, 1386, 252, 612, 72, 47, 2], [0, 64, 9, 744, 84, 1512, 126, 696, 36, 56, 1], [0, 65, 0, 780, 0, 1638, 0, 780, 0, 65, 0], [1, 49, 99, 444, 714, 630, 966, 156, 261, 1, 7], [1, 50, 90, 480, 630, 756, 840, 240, 225, 10, 6], [1, 51, 81, 516, 546, 882, 714, 324, 189, 19, 5], [1, 52, 72, 552, 462, 1008, 588, 408, 153, 28, 4], [1, 53, 63, 588, 378, 1134, 462, 492, 117, 37, 3], [1, 54, 54, 624, 294, 1260, 336, 576, 81, 46, 2], [1, 55, 45, 660, 210, 1386, 210, 660, 45, 55, 1], [1, 56, 36, 696, 126, 1512, 84, 744, 9, 64, 0], [2, 40, 135, 360, 840, 504, 1050, 120, 270, 0, 7], [2, 41, 126, 396, 756, 630, 924, 204, 234, 9, 6], [2, 42, 117, 432, 672, 756, 798, 288, 198, 18, 5], [2, 43, 108, 468, 588, 882, 672, 372, 162, 27, 4], [2, 44, 99, 504, 504, 1008, 546, 456, 126, 36, 3], [2, 45, 90, 540, 420, 1134, 420, 540, 90, 45, 2], [2, 46, 81, 576, 336, 1260, 294, 624, 54, 54, 1], [2, 47, 72, 612, 252, 1386, 168, 708, 18, 63, 0], [3, 32, 162, 312, 882, 504, 1008, 168, 243, 8, 6], [3, 33, 153, 348, 798, 630, 882, 252, 207, 17, 5], [3, 34, 144, 384, 714, 756, 756, 336, 171, 26, 4], [3, 35, 135, 420, 630, 882, 630, 420, 135, 35, 3], [3, 36, 126, 456, 546, 1008, 504, 504, 99, 44, 2], [3, 37, 117, 492, 462, 1134, 378, 588, 63, 53, 1], [3, 38, 108, 528, 378, 1260, 252, 672, 27, 62, 0], [4, 23, 198, 228, 1008, 378, 1092, 132, 252, 7, 6], [4, 24, 189, 264, 924, 504, 966, 216, 216, 16, 5], [4, 25, 180, 300, 840, 630, 840, 300, 180, 25, 4], [4, 26, 171, 336, 756, 756, 714, 384, 144, 34, 3], [4, 27, 162, 372, 672, 882, 588, 468, 108, 43, 2], [4, 28, 153, 408, 588, 1008, 462, 552, 72, 52, 1], [4, 29, 144, 444, 504, 1134, 336, 636, 36, 61, 0], [5, 14, 234, 144, 1134, 252, 1176, 96, 261, 6, 6], [5, 15, 225, 180, 1050, 378, 1050, 180, 225, 15, 5], [5, 16, 216, 216, 966, 504, 924, 264, 189, 24, 4], [5, 17, 207, 252, 882, 630, 798, 348, 153, 33, 3], [5, 18, 198, 288, 798, 756, 672, 432, 117, 42, 2], [5, 19, 189, 324, 714, 882, 546, 516, 81, 51, 1], [5, 20, 180, 360, 630, 1008, 420, 600, 45, 60, 0], [6, 5, 270, 60, 1260, 126, 1260, 60, 270, 5, 6], [6, 6, 261, 96, 1176, 252, 1134, 144, 234, 14, 5], [6, 7, 252, 132, 1092, 378, 1008, 228, 198, 23, 4], [6, 8, 243, 168, 1008, 504, 882, 312, 162, 32, 3], [6, 9, 234, 204, 924, 630, 756, 396, 126, 41, 2], [6, 10, 225, 240, 840, 756, 630, 480, 90, 50, 1], [6, 11, 216, 276, 756, 882, 504, 564, 54, 59, 0], [7, 0, 270, 120, 1050, 504, 840, 360, 135, 40, 2], [7, 1, 261, 156, 966, 630, 714, 444, 99, 49, 1], [7, 2, 252, 192, 882, 756, 588, 528, 63, 58, 0]}
(11, 3328, 8) has 212 possible DDs: {[0, 24, 105, 120, 960, 84, 1386, 180, 360, 100, 5, 4], [0, 24, 106, 111, 996, 0, 1512, 54, 444, 64, 14, 3], [0, 25, 96, 156, 876, 210, 1260, 264, 324, 109, 4, 4], [0, 25, 97, 147, 912, 126, 1386, 138, 408, 73, 13, 3], [0, 25, 98, 138, 948, 42, 1512, 12, 492, 37, 22, 2], [0, 26, 87, 192, 792, 336, 1134, 348, 288, 118, 3, 4], [0, 26, 88, 183, 828, 252, 1260, 222, 372, 82, 12, 3], [0, 26, 89, 174, 864, 168, 1386, 96, 456, 46, 21, 2], [0, 27, 78, 228, 708, 462, 1008, 432, 252, 127, 2, 4], [0, 27, 79, 219, 744, 378, 1134, 306, 336, 91, 11, 3], [0, 27, 80, 210, 780, 294, 1260, 180, 420, 55, 20, 2], [0, 27, 81, 201, 816, 210, 1386, 54, 504, 19, 29, 1], [0, 28, 69, 264, 624, 588, 882, 516, 216, 136, 1, 4], [0, 28, 70, 255, 660, 504, 1008, 390, 300, 100, 10, 3], [0, 28, 71, 246, 696, 420, 1134, 264, 384, 64, 19, 2], [0, 28, 72, 237, 732, 336, 1260, 138, 468, 28, 28, 1], [0, 29, 60, 300, 540, 714, 756, 600, 180, 145, 0, 4], [0, 29, 61, 291, 576, 630, 882, 474, 264, 109, 9, 3], [0, 29, 62, 282, 612, 546, 1008, 348, 348, 73, 18, 2], [0, 29, 63, 273, 648, 462, 1134, 222, 432, 37, 27, 1], [0, 29, 64, 264, 684, 378, 1260, 96, 516, 1, 36, 0], [0, 30, 52, 327, 492, 756, 756, 558, 228, 118, 8, 3], [0, 30, 53, 318, 528, 672, 882, 432, 312, 82, 17, 2], [0, 30, 54, 309, 564, 588, 1008, 306, 396, 46, 26, 1], [0, 30, 55, 300, 600, 504, 1134, 180, 480, 10, 35, 0], [0, 31, 43, 363, 408, 882, 630, 642, 192, 127, 7, 3], [0, 31, 44, 354, 444, 798, 756, 516, 276, 91, 16, 2], [0, 31, 45, 345, 480, 714, 882, 390, 360, 55, 25, 1], [0, 31, 46, 336, 516, 630, 1008, 264, 444, 19, 34, 0], [0, 32, 34, 399, 324, 1008, 504, 726, 156, 136, 6, 3], [0, 32, 35, 390, 360, 924, 630, 600, 240, 100, 15, 2], [0, 32, 36, 381, 396, 840, 756, 474, 324, 64, 24, 1], [0, 32, 37, 372, 432, 756, 882, 348, 408, 28, 33, 0], [0, 33, 25, 435, 240, 1134, 378, 810, 120, 145, 5, 3], [0, 33, 26, 426, 276, 1050, 504, 684, 204, 109, 14, 2], [0, 33, 27, 417, 312, 966, 630, 558, 288, 73, 23, 1], [0, 33, 28, 408, 348, 882, 756, 432, 372, 37, 32, 0], [0, 34, 16, 471, 156, 1260, 252, 894, 84, 154, 4, 3], [0, 34, 17, 462, 192, 1176, 378, 768, 168, 118, 13, 2], [0, 34, 18, 453, 228, 1092, 504, 642, 252, 82, 22, 1], [0, 34, 19, 444, 264, 1008, 630, 516, 336, 46, 31, 0], [0, 35, 7, 507, 72, 1386, 126, 978, 48, 163, 3, 3], [0, 35, 8, 498, 108, 1302, 252, 852, 132, 127, 12, 2], [0, 35, 9, 489, 144, 1218, 378, 726, 216, 91, 21, 1], [0, 35, 10, 480, 180, 1134, 504, 600, 300, 55, 30, 0], [0, 36, 0, 525, 60, 1344, 252, 810, 180, 100, 20, 1], [0, 36, 1, 516, 96, 1260, 378, 684, 264, 64, 29, 0], [1, 16, 132, 72, 1002, 84, 1344, 228, 333, 108, 4, 4], [1, 16, 133, 63, 1038, 0, 1470, 102, 417, 72, 13, 3], [1, 17, 123, 108, 918, 210, 1218, 312, 297, 117, 3, 4], [1, 17, 124, 99, 954, 126, 1344, 186, 381, 81, 12, 3], [1, 17, 125, 90, 990, 42, 1470, 60, 465, 45, 21, 2], [1, 18, 114, 144, 834, 336, 1092, 396, 261, 126, 2, 4], [1, 18, 115, 135, 870, 252, 1218, 270, 345, 90, 11, 3], [1, 18, 116, 126, 906, 168, 1344, 144, 429, 54, 20, 2], [1, 18, 117, 117, 942, 84, 1470, 18, 513, 18, 29, 1], [1, 19, 105, 180, 750, 462, 966, 480, 225, 135, 1, 4], [1, 19, 106, 171, 786, 378, 1092, 354, 309, 99, 10, 3], [1, 19, 107, 162, 822, 294, 1218, 228, 393, 63, 19, 2], [1, 19, 108, 153, 858, 210, 1344, 102, 477, 27, 28, 1], [1, 20, 96, 216, 666, 588, 840, 564, 189, 144, 0, 4], [1, 20, 97, 207, 702, 504, 966, 438, 273, 108, 9, 3], [1, 20, 98, 198, 738, 420, 1092, 312, 357, 72, 18, 2], [1, 20, 99, 189, 774, 336, 1218, 186, 441, 36, 27, 1], [1, 20, 100, 180, 810, 252, 1344, 60, 525, 0, 36, 0], [1, 21, 88, 243, 618, 630, 840, 522, 237, 117, 8, 3], [1, 21, 89, 234, 654, 546, 966, 396, 321, 81, 17, 2], [1, 21, 90, 225, 690, 462, 1092, 270, 405, 45, 26, 1], [1, 21, 91, 216, 726, 378, 1218, 144, 489, 9, 35, 0], [1, 22, 79, 279, 534, 756, 714, 606, 201, 126, 7, 3], [1, 22, 80, 270, 570, 672, 840, 480, 285, 90, 16, 2], [1, 22, 81, 261, 606, 588, 966, 354, 369, 54, 25, 1], [1, 22, 82, 252, 642, 504, 1092, 228, 453, 18, 34, 0], [1, 23, 70, 315, 450, 882, 588, 690, 165, 135, 6, 3], [1, 23, 71, 306, 486, 798, 714, 564, 249, 99, 15, 2], [1, 23, 72, 297, 522, 714, 840, 438, 333, 63, 24, 1], [1, 23, 73, 288, 558, 630, 966, 312, 417, 27, 33, 0], [1, 24, 61, 351, 366, 1008, 462, 774, 129, 144, 5, 3], [1, 24, 62, 342, 402, 924, 588, 648, 213, 108, 14, 2], [1, 24, 63, 333, 438, 840, 714, 522, 297, 72, 23, 1], [1, 24, 64, 324, 474, 756, 840, 396, 381, 36, 32, 0], [1, 25, 52, 387, 282, 1134, 336, 858, 93, 153, 4, 3], [1, 25, 53, 378, 318, 1050, 462, 732, 177, 117, 13, 2], [1, 25, 54, 369, 354, 966, 588, 606, 261, 81, 22, 1], [1, 25, 55, 360, 390, 882, 714, 480, 345, 45, 31, 0], [1, 26, 43, 423, 198, 1260, 210, 942, 57, 162, 3, 3], [1, 26, 44, 414, 234, 1176, 336, 816, 141, 126, 12, 2], [1, 26, 45, 405, 270, 1092, 462, 690, 225, 90, 21, 1], [1, 26, 46, 396, 306, 1008, 588, 564, 309, 54, 30, 0], [1, 27, 34, 459, 114, 1386, 84, 1026, 21, 171, 2, 3], [1, 27, 35, 450, 150, 1302, 210, 900, 105, 135, 11, 2], [1, 27, 36, 441, 186, 1218, 336, 774, 189, 99, 20, 1], [1, 27, 37, 432, 222, 1134, 462, 648, 273, 63, 29, 0], [1, 28, 26, 486, 66, 1428, 84, 984, 69, 144, 10, 2], [1, 28, 27, 477, 102, 1344, 210, 858, 153, 108, 19, 1], [1, 28, 28, 468, 138, 1260, 336, 732, 237, 72, 28, 0], [1, 29, 18, 513, 18, 1470, 84, 942, 117, 117, 18, 1], [1, 29, 19, 504, 54, 1386, 210, 816, 201, 81, 27, 0], [2, 8, 159, 24, 1044, 84, 1302, 276, 306, 116, 3, 4], [2, 8, 160, 15, 1080, 0, 1428, 150, 390, 80, 12, 3], [2, 9, 150, 60, 960, 210, 1176, 360, 270, 125, 2, 4], [2, 9, 151, 51, 996, 126, 1302, 234, 354, 89, 11, 3], [2, 9, 152, 42, 1032, 42, 1428, 108, 438, 53, 20, 2], [2, 10, 141, 96, 876, 336, 1050, 444, 234, 134, 1, 4], [2, 10, 142, 87, 912, 252, 1176, 318, 318, 98, 10, 3], [2, 10, 143, 78, 948, 168, 1302, 192, 402, 62, 19, 2], [2, 10, 144, 69, 984, 84, 1428, 66, 486, 26, 28, 1], [2, 11, 132, 132, 792, 462, 924, 528, 198, 143, 0, 4], [2, 11, 133, 123, 828, 378, 1050, 402, 282, 107, 9, 3], [2, 11, 134, 114, 864, 294, 1176, 276, 366, 71, 18, 2], [2, 11, 135, 105, 900, 210, 1302, 150, 450, 35, 27, 1], [2, 12, 124, 159, 744, 504, 924, 486, 246, 116, 8, 3], [2, 12, 125, 150, 780, 420, 1050, 360, 330, 80, 17, 2], [2, 12, 126, 141, 816, 336, 1176, 234, 414, 44, 26, 1], [2, 12, 127, 132, 852, 252, 1302, 108, 498, 8, 35, 0], [2, 13, 115, 195, 660, 630, 798, 570, 210, 125, 7, 3], [2, 13, 116, 186, 696, 546, 924, 444, 294, 89, 16, 2], [2, 13, 117, 177, 732, 462, 1050, 318, 378, 53, 25, 1], [2, 13, 118, 168, 768, 378, 1176, 192, 462, 17, 34, 0], [2, 14, 106, 231, 576, 756, 672, 654, 174, 134, 6, 3], [2, 14, 107, 222, 612, 672, 798, 528, 258, 98, 15, 2], [2, 14, 108, 213, 648, 588, 924, 402, 342, 62, 24, 1], [2, 14, 109, 204, 684, 504, 1050, 276, 426, 26, 33, 0], [2, 15, 97, 267, 492, 882, 546, 738, 138, 143, 5, 3], [2, 15, 98, 258, 528, 798, 672, 612, 222, 107, 14, 2], [2, 15, 99, 249, 564, 714, 798, 486, 306, 71, 23, 1], [2, 15, 100, 240, 600, 630, 924, 360, 390, 35, 32, 0], [2, 16, 88, 303, 408, 1008, 420, 822, 102, 152, 4, 3], [2, 16, 89, 294, 444, 924, 546, 696, 186, 116, 13, 2], [2, 16, 90, 285, 480, 840, 672, 570, 270, 80, 22, 1], [2, 16, 91, 276, 516, 756, 798, 444, 354, 44, 31, 0], [2, 17, 79, 339, 324, 1134, 294, 906, 66, 161, 3, 3], [2, 17, 80, 330, 360, 1050, 420, 780, 150, 125, 12, 2], [2, 17, 81, 321, 396, 966, 546, 654, 234, 89, 21, 1], [2, 17, 82, 312, 432, 882, 672, 528, 318, 53, 30, 0], [2, 18, 70, 375, 240, 1260, 168, 990, 30, 170, 2, 3], [2, 18, 71, 366, 276, 1176, 294, 864, 114, 134, 11, 2], [2, 18, 72, 357, 312, 1092, 420, 738, 198, 98, 20, 1], [2, 18, 73, 348, 348, 1008, 546, 612, 282, 62, 29, 0], [2, 19, 62, 402, 192, 1302, 168, 948, 78, 143, 10, 2], [2, 19, 63, 393, 228, 1218, 294, 822, 162, 107, 19, 1], [2, 19, 64, 384, 264, 1134, 420, 696, 246, 71, 28, 0], [2, 20, 53, 438, 108, 1428, 42, 1032, 42, 152, 9, 2], [2, 20, 54, 429, 144, 1344, 168, 906, 126, 116, 18, 1], [2, 20, 55, 420, 180, 1260, 294, 780, 210, 80, 27, 0], [2, 21, 45, 465, 60, 1470, 42, 990, 90, 125, 17, 1], [2, 21, 46, 456, 96, 1386, 168, 864, 174, 89, 26, 0], [2, 22, 37, 492, 12, 1512, 42, 948, 138, 98, 25, 0], [3, 1, 177, 12, 1002, 210, 1134, 408, 243, 133, 1, 4], [3, 1, 178, 3, 1038, 126, 1260, 282, 327, 97, 10, 3], [3, 2, 168, 48, 918, 336, 1008, 492, 207, 142, 0, 4], [3, 2, 169, 39, 954, 252, 1134, 366, 291, 106, 9, 3], [3, 2, 170, 30, 990, 168, 1260, 240, 375, 70, 18, 2], [3, 2, 171, 21, 1026, 84, 1386, 114, 459, 34, 27, 1], [3, 3, 160, 75, 870, 378, 1008, 450, 255, 115, 8, 3], [3, 3, 161, 66, 906, 294, 1134, 324, 339, 79, 17, 2], [3, 3, 162, 57, 942, 210, 1260, 198, 423, 43, 26, 1], [3, 3, 163, 48, 978, 126, 1386, 72, 507, 7, 35, 0], [3, 4, 151, 111, 786, 504, 882, 534, 219, 124, 7, 3], [3, 4, 152, 102, 822, 420, 1008, 408, 303, 88, 16, 2], [3, 4, 153, 93, 858, 336, 1134, 282, 387, 52, 25, 1], [3, 4, 154, 84, 894, 252, 1260, 156, 471, 16, 34, 0], [3, 5, 142, 147, 702, 630, 756, 618, 183, 133, 6, 3], [3, 5, 143, 138, 738, 546, 882, 492, 267, 97, 15, 2], [3, 5, 144, 129, 774, 462, 1008, 366, 351, 61, 24, 1], [3, 5, 145, 120, 810, 378, 1134, 240, 435, 25, 33, 0], [3, 6, 133, 183, 618, 756, 630, 702, 147, 142, 5, 3], [3, 6, 134, 174, 654, 672, 756, 576, 231, 106, 14, 2], [3, 6, 135, 165, 690, 588, 882, 450, 315, 70, 23, 1], [3, 6, 136, 156, 726, 504, 1008, 324, 399, 34, 32, 0], [3, 7, 124, 219, 534, 882, 504, 786, 111, 151, 4, 3], [3, 7, 125, 210, 570, 798, 630, 660, 195, 115, 13, 2], [3, 7, 126, 201, 606, 714, 756, 534, 279, 79, 22, 1], [3, 7, 127, 192, 642, 630, 882, 408, 363, 43, 31, 0], [3, 8, 115, 255, 450, 1008, 378, 870, 75, 160, 3, 3], [3, 8, 116, 246, 486, 924, 504, 744, 159, 124, 12, 2], [3, 8, 117, 237, 522, 840, 630, 618, 243, 88, 21, 1], [3, 8, 118, 228, 558, 756, 756, 492, 327, 52, 30, 0], [3, 9, 106, 291, 366, 1134, 252, 954, 39, 169, 2, 3], [3, 9, 107, 282, 402, 1050, 378, 828, 123, 133, 11, 2], [3, 9, 108, 273, 438, 966, 504, 702, 207, 97, 20, 1], [3, 9, 109, 264, 474, 882, 630, 576, 291, 61, 29, 0], [3, 10, 97, 327, 282, 1260, 126, 1038, 3, 178, 1, 3], [3, 10, 98, 318, 318, 1176, 252, 912, 87, 142, 10, 2], [3, 10, 99, 309, 354, 1092, 378, 786, 171, 106, 19, 1], [3, 10, 100, 300, 390, 1008, 504, 660, 255, 70, 28, 0], [3, 11, 89, 354, 234, 1302, 126, 996, 51, 151, 9, 2], [3, 11, 90, 345, 270, 1218, 252, 870, 135, 115, 18, 1], [3, 11, 91, 336, 306, 1134, 378, 744, 219, 79, 27, 0], [3, 12, 80, 390, 150, 1428, 0, 1080, 15, 160, 8, 2], [3, 12, 81, 381, 186, 1344, 126, 954, 99, 124, 17, 1], [3, 12, 82, 372, 222, 1260, 252, 828, 183, 88, 26, 0], [3, 13, 72, 417, 102, 1470, 0, 1038, 63, 133, 16, 1], [3, 13, 73, 408, 138, 1386, 126, 912, 147, 97, 25, 0], [3, 14, 64, 444, 54, 1512, 0, 996, 111, 106, 24, 0], [4, 0, 142, 207, 492, 1008, 336, 918, 48, 168, 2, 3], [4, 0, 143, 198, 528, 924, 462, 792, 132, 132, 11, 2], [4, 0, 144, 189, 564, 840, 588, 666, 216, 96, 20, 1], [4, 0, 145, 180, 600, 756, 714, 540, 300, 60, 29, 0], [4, 1, 133, 243, 408, 1134, 210, 1002, 12, 177, 1, 3], [4, 1, 134, 234, 444, 1050, 336, 876, 96, 141, 10, 2], [4, 1, 135, 225, 480, 966, 462, 750, 180, 105, 19, 1], [4, 1, 136, 216, 516, 882, 588, 624, 264, 69, 28, 0], [4, 2, 125, 270, 360, 1176, 210, 960, 60, 150, 9, 2], [4, 2, 126, 261, 396, 1092, 336, 834, 144, 114, 18, 1], [4, 2, 127, 252, 432, 1008, 462, 708, 228, 78, 27, 0], [4, 3, 116, 306, 276, 1302, 84, 1044, 24, 159, 8, 2], [4, 3, 117, 297, 312, 1218, 210, 918, 108, 123, 17, 1], [4, 3, 118, 288, 348, 1134, 336, 792, 192, 87, 26, 0], [4, 4, 108, 333, 228, 1344, 84, 1002, 72, 132, 16, 1], [4, 4, 109, 324, 264, 1260, 210, 876, 156, 96, 25, 0], [4, 5, 100, 360, 180, 1386, 84, 960, 120, 105, 24, 0]}
(12, 3328, 8) has 683 possible DDs: {[0, 8, 95, 17, 687, 444, 630, 1014, 78, 308, 43, 1, 3], [0, 8, 96, 8, 723, 360, 756, 888, 162, 272, 52, 0, 3], [0, 8, 96, 9, 714, 396, 672, 1014, 36, 356, 16, 9, 2], [0, 8, 97, 0, 750, 312, 798, 888, 120, 320, 25, 8, 2], [0, 9, 86, 53, 603, 570, 504, 1098, 42, 317, 42, 1, 3], [0, 9, 87, 44, 639, 486, 630, 972, 126, 281, 51, 0, 3], [0, 9, 87, 45, 630, 522, 546, 1098, 0, 365, 15, 9, 2], [0, 9, 88, 36, 666, 438, 672, 972, 84, 329, 24, 8, 2], [0, 9, 89, 27, 702, 354, 798, 846, 168, 293, 33, 7, 2], [0, 9, 90, 18, 738, 270, 924, 720, 252, 257, 42, 6, 2], [0, 9, 90, 19, 729, 306, 840, 846, 126, 341, 6, 15, 1], [0, 9, 91, 9, 774, 186, 1050, 594, 336, 221, 51, 5, 2], [0, 9, 91, 10, 765, 222, 966, 720, 210, 305, 15, 14, 1], [0, 9, 92, 0, 810, 102, 1176, 468, 420, 185, 60, 4, 2], [0, 9, 92, 1, 801, 138, 1092, 594, 294, 269, 24, 13, 1], [0, 10, 77, 89, 519, 696, 378, 1182, 6, 326, 41, 1, 3], [0, 10, 78, 80, 555, 612, 504, 1056, 90, 290, 50, 0, 3], [0, 10, 79, 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1014, 96, 311, 31, 7, 2], [0, 11, 72, 90, 570, 522, 672, 888, 180, 275, 40, 6, 2], [0, 11, 72, 91, 561, 558, 588, 1014, 54, 359, 4, 15, 1], [0, 11, 73, 81, 606, 438, 798, 762, 264, 239, 49, 5, 2], [0, 11, 73, 82, 597, 474, 714, 888, 138, 323, 13, 14, 1], [0, 11, 74, 72, 642, 354, 924, 636, 348, 203, 58, 4, 2], [0, 11, 74, 73, 633, 390, 840, 762, 222, 287, 22, 13, 1], [0, 11, 75, 63, 678, 270, 1050, 510, 432, 167, 67, 3, 2], [0, 11, 75, 64, 669, 306, 966, 636, 306, 251, 31, 12, 1], [0, 11, 76, 54, 714, 186, 1176, 384, 516, 131, 76, 2, 2], [0, 11, 76, 55, 705, 222, 1092, 510, 390, 215, 40, 11, 1], [0, 11, 76, 56, 696, 258, 1008, 636, 264, 299, 4, 20, 0], [0, 11, 77, 45, 750, 102, 1302, 258, 600, 95, 85, 1, 2], [0, 11, 77, 46, 741, 138, 1218, 384, 474, 179, 49, 10, 1], [0, 11, 77, 47, 732, 174, 1134, 510, 348, 263, 13, 19, 0], [0, 11, 78, 36, 786, 18, 1428, 132, 684, 59, 94, 0, 2], [0, 11, 78, 37, 777, 54, 1344, 258, 558, 143, 58, 9, 1], [0, 11, 78, 38, 768, 90, 1260, 384, 432, 227, 22, 18, 0], [0, 11, 79, 29, 804, 6, 1386, 258, 516, 191, 31, 17, 0], [0, 12, 60, 152, 387, 864, 252, 1224, 18, 308, 48, 0, 3], [0, 12, 62, 135, 450, 732, 420, 1098, 60, 320, 30, 7, 2], [0, 12, 63, 126, 486, 648, 546, 972, 144, 284, 39, 6, 2], [0, 12, 63, 127, 477, 684, 462, 1098, 18, 368, 3, 15, 1], [0, 12, 64, 117, 522, 564, 672, 846, 228, 248, 48, 5, 2], [0, 12, 64, 118, 513, 600, 588, 972, 102, 332, 12, 14, 1], [0, 12, 65, 108, 558, 480, 798, 720, 312, 212, 57, 4, 2], [0, 12, 65, 109, 549, 516, 714, 846, 186, 296, 21, 13, 1], [0, 12, 66, 99, 594, 396, 924, 594, 396, 176, 66, 3, 2], [0, 12, 66, 100, 585, 432, 840, 720, 270, 260, 30, 12, 1], [0, 12, 67, 90, 630, 312, 1050, 468, 480, 140, 75, 2, 2], [0, 12, 67, 91, 621, 348, 966, 594, 354, 224, 39, 11, 1], [0, 12, 67, 92, 612, 384, 882, 720, 228, 308, 3, 20, 0], [0, 12, 68, 81, 666, 228, 1176, 342, 564, 104, 84, 1, 2], [0, 12, 68, 82, 657, 264, 1092, 468, 438, 188, 48, 10, 1], [0, 12, 68, 83, 648, 300, 1008, 594, 312, 272, 12, 19, 0], [0, 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468, 540, 95, 90, 0, 2], [0, 15, 42, 181, 441, 558, 840, 594, 414, 179, 54, 9, 1], [0, 15, 42, 182, 432, 594, 756, 720, 288, 263, 18, 18, 0], [0, 15, 43, 172, 477, 474, 966, 468, 498, 143, 63, 8, 1], [0, 15, 43, 173, 468, 510, 882, 594, 372, 227, 27, 17, 0], [0, 15, 44, 163, 513, 390, 1092, 342, 582, 107, 72, 7, 1], [0, 15, 44, 164, 504, 426, 1008, 468, 456, 191, 36, 16, 0], [0, 15, 45, 154, 549, 306, 1218, 216, 666, 71, 81, 6, 1], [0, 15, 45, 155, 540, 342, 1134, 342, 540, 155, 45, 15, 0], [0, 15, 46, 145, 585, 222, 1344, 90, 750, 35, 90, 5, 1], [0, 15, 46, 146, 576, 258, 1260, 216, 624, 119, 54, 14, 0], [0, 15, 47, 137, 612, 174, 1386, 90, 708, 83, 63, 13, 0], [0, 16, 27, 270, 150, 1152, 42, 1308, 0, 320, 35, 6, 2], [0, 16, 28, 261, 186, 1068, 168, 1182, 84, 284, 44, 5, 2], [0, 16, 29, 252, 222, 984, 294, 1056, 168, 248, 53, 4, 2], [0, 16, 29, 253, 213, 1020, 210, 1182, 42, 332, 17, 13, 1], [0, 16, 30, 243, 258, 900, 420, 930, 252, 212, 62, 3, 2], [0, 16, 30, 244, 249, 936, 336, 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0, 93, 68, 648, 216, 1302, 144, 702, 72, 69, 12, 0], [2, 0, 94, 59, 684, 132, 1428, 18, 786, 36, 78, 11, 0], [2, 1, 74, 192, 222, 1110, 84, 1236, 78, 273, 50, 4, 2], [2, 1, 75, 183, 258, 1026, 210, 1110, 162, 237, 59, 3, 2], [2, 1, 75, 184, 249, 1062, 126, 1236, 36, 321, 23, 12, 1], [2, 1, 76, 174, 294, 942, 336, 984, 246, 201, 68, 2, 2], [2, 1, 76, 175, 285, 978, 252, 1110, 120, 285, 32, 11, 1], [2, 1, 77, 165, 330, 858, 462, 858, 330, 165, 77, 1, 2], [2, 1, 77, 166, 321, 894, 378, 984, 204, 249, 41, 10, 1], [2, 1, 77, 167, 312, 930, 294, 1110, 78, 333, 5, 19, 0], [2, 1, 78, 156, 366, 774, 588, 732, 414, 129, 86, 0, 2], [2, 1, 78, 157, 357, 810, 504, 858, 288, 213, 50, 9, 1], [2, 1, 78, 158, 348, 846, 420, 984, 162, 297, 14, 18, 0], [2, 1, 79, 148, 393, 726, 630, 732, 372, 177, 59, 8, 1], [2, 1, 79, 149, 384, 762, 546, 858, 246, 261, 23, 17, 0], [2, 1, 80, 139, 429, 642, 756, 606, 456, 141, 68, 7, 1], [2, 1, 80, 140, 420, 678, 672, 732, 330, 225, 32, 16, 0], [2, 1, 81, 130, 465, 558, 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306, 13, 18, 0], [2, 2, 70, 184, 309, 852, 504, 816, 336, 186, 58, 8, 1], [2, 2, 70, 185, 300, 888, 420, 942, 210, 270, 22, 17, 0], [2, 2, 71, 175, 345, 768, 630, 690, 420, 150, 67, 7, 1], [2, 2, 71, 176, 336, 804, 546, 816, 294, 234, 31, 16, 0], [2, 2, 72, 166, 381, 684, 756, 564, 504, 114, 76, 6, 1], [2, 2, 72, 167, 372, 720, 672, 690, 378, 198, 40, 15, 0], [2, 2, 73, 157, 417, 600, 882, 438, 588, 78, 85, 5, 1], [2, 2, 73, 158, 408, 636, 798, 564, 462, 162, 49, 14, 0], [2, 2, 74, 148, 453, 516, 1008, 312, 672, 42, 94, 4, 1], [2, 2, 74, 149, 444, 552, 924, 438, 546, 126, 58, 13, 0], [2, 2, 75, 139, 489, 432, 1134, 186, 756, 6, 103, 3, 1], [2, 2, 75, 140, 480, 468, 1050, 312, 630, 90, 67, 12, 0], [2, 2, 76, 131, 516, 384, 1176, 186, 714, 54, 76, 11, 0], [2, 2, 77, 122, 552, 300, 1302, 60, 798, 18, 85, 10, 0], [2, 3, 58, 246, 126, 1194, 84, 1152, 174, 219, 66, 2, 2], [2, 3, 58, 247, 117, 1230, 0, 1278, 48, 303, 30, 11, 1], [2, 3, 59, 237, 162, 1110, 210, 1026, 258, 183, 75, 1, 2], [2, 3, 59, 238, 153, 1146, 126, 1152, 132, 267, 39, 10, 1], [2, 3, 59, 239, 144, 1182, 42, 1278, 6, 351, 3, 19, 0], [2, 3, 60, 228, 198, 1026, 336, 900, 342, 147, 84, 0, 2], [2, 3, 60, 229, 189, 1062, 252, 1026, 216, 231, 48, 9, 1], [2, 3, 60, 230, 180, 1098, 168, 1152, 90, 315, 12, 18, 0], [2, 3, 61, 220, 225, 978, 378, 900, 300, 195, 57, 8, 1], [2, 3, 61, 221, 216, 1014, 294, 1026, 174, 279, 21, 17, 0], [2, 3, 62, 211, 261, 894, 504, 774, 384, 159, 66, 7, 1], [2, 3, 62, 212, 252, 930, 420, 900, 258, 243, 30, 16, 0], [2, 3, 63, 202, 297, 810, 630, 648, 468, 123, 75, 6, 1], [2, 3, 63, 203, 288, 846, 546, 774, 342, 207, 39, 15, 0], [2, 3, 64, 193, 333, 726, 756, 522, 552, 87, 84, 5, 1], [2, 3, 64, 194, 324, 762, 672, 648, 426, 171, 48, 14, 0], [2, 3, 65, 184, 369, 642, 882, 396, 636, 51, 93, 4, 1], [2, 3, 65, 185, 360, 678, 798, 522, 510, 135, 57, 13, 0], [2, 3, 66, 175, 405, 558, 1008, 270, 720, 15, 102, 3, 1], [2, 3, 66, 176, 396, 594, 924, 396, 594, 99, 66, 12, 0], [2, 3, 67, 167, 432, 510, 1050, 270, 678, 63, 75, 11, 0], [2, 3, 68, 158, 468, 426, 1176, 144, 762, 27, 84, 10, 0], [2, 4, 50, 273, 78, 1236, 84, 1110, 222, 192, 74, 1, 2], [2, 4, 50, 274, 69, 1272, 0, 1236, 96, 276, 38, 10, 1], [2, 4, 51, 264, 114, 1152, 210, 984, 306, 156, 83, 0, 2], [2, 4, 51, 265, 105, 1188, 126, 1110, 180, 240, 47, 9, 1], [2, 4, 51, 266, 96, 1224, 42, 1236, 54, 324, 11, 18, 0], [2, 4, 52, 256, 141, 1104, 252, 984, 264, 204, 56, 8, 1], [2, 4, 52, 257, 132, 1140, 168, 1110, 138, 288, 20, 17, 0], [2, 4, 53, 247, 177, 1020, 378, 858, 348, 168, 65, 7, 1], [2, 4, 53, 248, 168, 1056, 294, 984, 222, 252, 29, 16, 0], [2, 4, 54, 238, 213, 936, 504, 732, 432, 132, 74, 6, 1], [2, 4, 54, 239, 204, 972, 420, 858, 306, 216, 38, 15, 0], [2, 4, 55, 229, 249, 852, 630, 606, 516, 96, 83, 5, 1], [2, 4, 55, 230, 240, 888, 546, 732, 390, 180, 47, 14, 0], [2, 4, 56, 220, 285, 768, 756, 480, 600, 60, 92, 4, 1], [2, 4, 56, 221, 276, 804, 672, 606, 474, 144, 56, 13, 0], [2, 4, 57, 211, 321, 684, 882, 354, 684, 24, 101, 3, 1], [2, 4, 57, 212, 312, 720, 798, 480, 558, 108, 65, 12, 0], [2, 4, 58, 203, 348, 636, 924, 354, 642, 72, 74, 11, 0], [2, 4, 59, 194, 384, 552, 1050, 228, 726, 36, 83, 10, 0], [2, 4, 60, 185, 420, 468, 1176, 102, 810, 0, 92, 9, 0], [2, 5, 42, 300, 30, 1278, 84, 1068, 270, 165, 82, 0, 2], [2, 5, 42, 301, 21, 1314, 0, 1194, 144, 249, 46, 9, 1], [2, 5, 43, 292, 57, 1230, 126, 1068, 228, 213, 55, 8, 1], [2, 5, 43, 293, 48, 1266, 42, 1194, 102, 297, 19, 17, 0], [2, 5, 44, 283, 93, 1146, 252, 942, 312, 177, 64, 7, 1], [2, 5, 44, 284, 84, 1182, 168, 1068, 186, 261, 28, 16, 0], [2, 5, 45, 274, 129, 1062, 378, 816, 396, 141, 73, 6, 1], [2, 5, 45, 275, 120, 1098, 294, 942, 270, 225, 37, 15, 0], [2, 5, 46, 265, 165, 978, 504, 690, 480, 105, 82, 5, 1], [2, 5, 46, 266, 156, 1014, 420, 816, 354, 189, 46, 14, 0], [2, 5, 47, 256, 201, 894, 630, 564, 564, 69, 91, 4, 1], [2, 5, 47, 257, 192, 930, 546, 690, 438, 153, 55, 13, 0], [2, 5, 48, 247, 237, 810, 756, 438, 648, 33, 100, 3, 1], [2, 5, 48, 248, 228, 846, 672, 564, 522, 117, 64, 12, 0], [2, 5, 49, 239, 264, 762, 798, 438, 606, 81, 73, 11, 0], [2, 5, 50, 230, 300, 678, 924, 312, 690, 45, 82, 10, 0], [2, 5, 51, 221, 336, 594, 1050, 186, 774, 9, 91, 9, 0], [2, 6, 35, 319, 9, 1272, 126, 1026, 276, 186, 63, 7, 1], [2, 6, 35, 320, 0, 1308, 42, 1152, 150, 270, 27, 16, 0], [2, 6, 36, 310, 45, 1188, 252, 900, 360, 150, 72, 6, 1], [2, 6, 36, 311, 36, 1224, 168, 1026, 234, 234, 36, 15, 0], [2, 6, 37, 301, 81, 1104, 378, 774, 444, 114, 81, 5, 1], [2, 6, 37, 302, 72, 1140, 294, 900, 318, 198, 45, 14, 0], [2, 6, 38, 292, 117, 1020, 504, 648, 528, 78, 90, 4, 1], [2, 6, 38, 293, 108, 1056, 420, 774, 402, 162, 54, 13, 0], [2, 6, 39, 283, 153, 936, 630, 522, 612, 42, 99, 3, 1], [2, 6, 39, 284, 144, 972, 546, 648, 486, 126, 63, 12, 0], [2, 6, 40, 274, 189, 852, 756, 396, 696, 6, 108, 2, 1], [2, 6, 40, 275, 180, 888, 672, 522, 570, 90, 72, 11, 0], [2, 6, 41, 266, 216, 804, 798, 396, 654, 54, 81, 10, 0], [2, 6, 42, 257, 252, 720, 924, 270, 738, 18, 90, 9, 0], [2, 7, 29, 328, 33, 1146, 378, 732, 492, 87, 89, 4, 1], [2, 7, 29, 329, 24, 1182, 294, 858, 366, 171, 53, 13, 0], [2, 7, 30, 319, 69, 1062, 504, 606, 576, 51, 98, 3, 1], [2, 7, 30, 320, 60, 1098, 420, 732, 450, 135, 62, 12, 0], [2, 7, 31, 310, 105, 978, 630, 480, 660, 15, 107, 2, 1], [2, 7, 31, 311, 96, 1014, 546, 606, 534, 99, 71, 11, 0], [2, 7, 32, 302, 132, 930, 672, 480, 618, 63, 80, 10, 0], [2, 7, 33, 293, 168, 846, 798, 354, 702, 27, 89, 9, 0], [2, 8, 22, 346, 21, 1104, 504, 564, 624, 24, 106, 2, 1], [2, 8, 22, 347, 12, 1140, 420, 690, 498, 108, 70, 11, 0], [2, 8, 23, 338, 48, 1056, 546, 564, 582, 72, 79, 10, 0], [2, 8, 24, 329, 84, 972, 672, 438, 666, 36, 88, 9, 0], [2, 8, 25, 320, 120, 888, 798, 312, 750, 0, 97, 8, 0], [2, 9, 15, 365, 0, 1098, 546, 522, 630, 45, 87, 9, 0], [2, 9, 16, 356, 36, 1014, 672, 396, 714, 9, 96, 8, 0], [3, 0, 48, 307, 27, 1188, 336, 738, 513, 68, 96, 3, 1], [3, 0, 48, 308, 18, 1224, 252, 864, 387, 152, 60, 12, 0], [3, 0, 49, 298, 63, 1104, 462, 612, 597, 32, 105, 2, 1], [3, 0, 49, 299, 54, 1140, 378, 738, 471, 116, 69, 11, 0], [3, 0, 50, 290, 90, 1056, 504, 612, 555, 80, 78, 10, 0], [3, 0, 51, 281, 126, 972, 630, 486, 639, 44, 87, 9, 0], [3, 0, 52, 272, 162, 888, 756, 360, 723, 8, 96, 8, 0], [3, 1, 41, 325, 15, 1146, 462, 570, 645, 5, 113, 1, 1], [3, 1, 41, 326, 6, 1182, 378, 696, 519, 89, 77, 10, 0], [3, 1, 42, 317, 42, 1098, 504, 570, 603, 53, 86, 9, 0], [3, 1, 43, 308, 78, 1014, 630, 444, 687, 17, 95, 8, 0]}
(13, 3328, 8) has 2134 possible DDs: {[0, 0, 76, 10, 323, 834, 36, 1284, 354, 172, 232, 2, 3, 2], [0, 0, 77, 1, 359, 750, 162, 1158, 438, 136, 241, 1, 3, 2], [0, 0, 77, 2, 350, 786, 78, 1284, 312, 220, 205, 10, 2, 2], [0, 1, 68, 37, 275, 876, 36, 1242, 402, 145, 240, 1, 3, 2], [0, 1, 69, 28, 311, 792, 162, 1116, 486, 109, 249, 0, 3, 2], [0, 1, 69, 29, 302, 828, 78, 1242, 360, 193, 213, 9, 2, 2], [0, 1, 70, 20, 338, 744, 204, 1116, 444, 157, 222, 8, 2, 2], [0, 1, 70, 21, 329, 780, 120, 1242, 318, 241, 186, 17, 1, 2], [0, 1, 70, 22, 320, 816, 36, 1368, 192, 325, 150, 26, 0, 2], [0, 1, 71, 11, 374, 660, 330, 990, 528, 121, 231, 7, 2, 2], [0, 1, 71, 12, 365, 696, 246, 1116, 402, 205, 195, 16, 1, 2], [0, 1, 71, 13, 356, 732, 162, 1242, 276, 289, 159, 25, 0, 2], [0, 1, 71, 15, 339, 795, 30, 1410, 150, 331, 171, 7, 7, 1], [0, 1, 72, 2, 410, 576, 456, 864, 612, 85, 240, 6, 2, 2], [0, 1, 72, 3, 401, 612, 372, 990, 486, 169, 204, 15, 1, 2], [0, 1, 72, 4, 392, 648, 288, 1116, 360, 253, 168, 24, 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