-------
(13, 2816, 8) ALL distance distributions
(8, 2816, 8) has 1 possible DDs: {[11, 88, 308, 616, 770, 616, 308, 88, 11]}
(9, 2816, 8) has 12 possible DDs: {[0, 99, 0, 924, 0, 1386, 0, 396, 0, 11], [1, 90, 36, 840, 126, 1260, 84, 360, 9, 10], [2, 81, 72, 756, 252, 1134, 168, 324, 18, 9], [3, 72, 108, 672, 378, 1008, 252, 288, 27, 8], [4, 63, 144, 588, 504, 882, 336, 252, 36, 7], [5, 54, 180, 504, 630, 756, 420, 216, 45, 6], [6, 45, 216, 420, 756, 630, 504, 180, 54, 5], [7, 36, 252, 336, 882, 504, 588, 144, 63, 4], [8, 27, 288, 252, 1008, 378, 672, 108, 72, 3], [9, 18, 324, 168, 1134, 252, 756, 72, 81, 2], [10, 9, 360, 84, 1260, 126, 840, 36, 90, 1], [11, 0, 396, 0, 1386, 0, 924, 0, 99, 0]}
(10, 2816, 8) has 40 possible DDs: {[0, 49, 54, 444, 504, 630, 756, 156, 216, 1, 6], [0, 50, 45, 480, 420, 756, 630, 240, 180, 10, 5], [0, 51, 36, 516, 336, 882, 504, 324, 144, 19, 4], [0, 52, 27, 552, 252, 1008, 378, 408, 108, 28, 3], [0, 53, 18, 588, 168, 1134, 252, 492, 72, 37, 2], [0, 54, 9, 624, 84, 1260, 126, 576, 36, 46, 1], [0, 55, 0, 660, 0, 1386, 0, 660, 0, 55, 0], [1, 40, 90, 360, 630, 504, 840, 120, 225, 0, 6], [1, 41, 81, 396, 546, 630, 714, 204, 189, 9, 5], [1, 42, 72, 432, 462, 756, 588, 288, 153, 18, 4], [1, 43, 63, 468, 378, 882, 462, 372, 117, 27, 3], [1, 44, 54, 504, 294, 1008, 336, 456, 81, 36, 2], [1, 45, 45, 540, 210, 1134, 210, 540, 45, 45, 1], [1, 46, 36, 576, 126, 1260, 84, 624, 9, 54, 0], [2, 32, 117, 312, 672, 504, 798, 168, 198, 8, 5], [2, 33, 108, 348, 588, 630, 672, 252, 162, 17, 4], [2, 34, 99, 384, 504, 756, 546, 336, 126, 26, 3], [2, 35, 90, 420, 420, 882, 420, 420, 90, 35, 2], [2, 36, 81, 456, 336, 1008, 294, 504, 54, 44, 1], [2, 37, 72, 492, 252, 1134, 168, 588, 18, 53, 0], [3, 23, 153, 228, 798, 378, 882, 132, 207, 7, 5], [3, 24, 144, 264, 714, 504, 756, 216, 171, 16, 4], [3, 25, 135, 300, 630, 630, 630, 300, 135, 25, 3], [3, 26, 126, 336, 546, 756, 504, 384, 99, 34, 2], [3, 27, 117, 372, 462, 882, 378, 468, 63, 43, 1], [3, 28, 108, 408, 378, 1008, 252, 552, 27, 52, 0], [4, 14, 189, 144, 924, 252, 966, 96, 216, 6, 5], [4, 15, 180, 180, 840, 378, 840, 180, 180, 15, 4], [4, 16, 171, 216, 756, 504, 714, 264, 144, 24, 3], [4, 17, 162, 252, 672, 630, 588, 348, 108, 33, 2], [4, 18, 153, 288, 588, 756, 462, 432, 72, 42, 1], [4, 19, 144, 324, 504, 882, 336, 516, 36, 51, 0], [5, 5, 225, 60, 1050, 126, 1050, 60, 225, 5, 5], [5, 6, 216, 96, 966, 252, 924, 144, 189, 14, 4], [5, 7, 207, 132, 882, 378, 798, 228, 153, 23, 3], [5, 8, 198, 168, 798, 504, 672, 312, 117, 32, 2], [5, 9, 189, 204, 714, 630, 546, 396, 81, 41, 1], [5, 10, 180, 240, 630, 756, 420, 480, 45, 50, 0], [6, 0, 225, 120, 840, 504, 630, 360, 90, 40, 1], [6, 1, 216, 156, 756, 630, 504, 444, 54, 49, 0]}
(11, 2816, 8) has 130 possible DDs: {[0, 20, 92, 87, 852, 0, 1260, 78, 348, 68, 8, 3], [0, 21, 83, 123, 768, 126, 1134, 162, 312, 77, 7, 3], [0, 21, 84, 114, 804, 42, 1260, 36, 396, 41, 16, 2], [0, 22, 74, 159, 684, 252, 1008, 246, 276, 86, 6, 3], [0, 22, 75, 150, 720, 168, 1134, 120, 360, 50, 15, 2], [0, 23, 65, 195, 600, 378, 882, 330, 240, 95, 5, 3], [0, 23, 66, 186, 636, 294, 1008, 204, 324, 59, 14, 2], [0, 23, 67, 177, 672, 210, 1134, 78, 408, 23, 23, 1], [0, 24, 56, 231, 516, 504, 756, 414, 204, 104, 4, 3], [0, 24, 57, 222, 552, 420, 882, 288, 288, 68, 13, 2], [0, 24, 58, 213, 588, 336, 1008, 162, 372, 32, 22, 1], [0, 25, 47, 267, 432, 630, 630, 498, 168, 113, 3, 3], [0, 25, 48, 258, 468, 546, 756, 372, 252, 77, 12, 2], [0, 25, 49, 249, 504, 462, 882, 246, 336, 41, 21, 1], [0, 25, 50, 240, 540, 378, 1008, 120, 420, 5, 30, 0], [0, 26, 38, 303, 348, 756, 504, 582, 132, 122, 2, 3], [0, 26, 39, 294, 384, 672, 630, 456, 216, 86, 11, 2], [0, 26, 40, 285, 420, 588, 756, 330, 300, 50, 20, 1], [0, 26, 41, 276, 456, 504, 882, 204, 384, 14, 29, 0], [0, 27, 29, 339, 264, 882, 378, 666, 96, 131, 1, 3], [0, 27, 30, 330, 300, 798, 504, 540, 180, 95, 10, 2], [0, 27, 31, 321, 336, 714, 630, 414, 264, 59, 19, 1], [0, 27, 32, 312, 372, 630, 756, 288, 348, 23, 28, 0], [0, 28, 20, 375, 180, 1008, 252, 750, 60, 140, 0, 3], [0, 28, 21, 366, 216, 924, 378, 624, 144, 104, 9, 2], [0, 28, 22, 357, 252, 840, 504, 498, 228, 68, 18, 1], [0, 28, 23, 348, 288, 756, 630, 372, 312, 32, 27, 0], [0, 29, 12, 402, 132, 1050, 252, 708, 108, 113, 8, 2], [0, 29, 13, 393, 168, 966, 378, 582, 192, 77, 17, 1], [0, 29, 14, 384, 204, 882, 504, 456, 276, 41, 26, 0], [0, 30, 3, 438, 48, 1176, 126, 792, 72, 122, 7, 2], [0, 30, 4, 429, 84, 1092, 252, 666, 156, 86, 16, 1], [0, 30, 5, 420, 120, 1008, 378, 540, 240, 50, 25, 0], [1, 12, 119, 39, 894, 0, 1218, 126, 321, 76, 7, 3], [1, 13, 110, 75, 810, 126, 1092, 210, 285, 85, 6, 3], [1, 13, 111, 66, 846, 42, 1218, 84, 369, 49, 15, 2], [1, 14, 101, 111, 726, 252, 966, 294, 249, 94, 5, 3], [1, 14, 102, 102, 762, 168, 1092, 168, 333, 58, 14, 2], [1, 14, 103, 93, 798, 84, 1218, 42, 417, 22, 23, 1], [1, 15, 92, 147, 642, 378, 840, 378, 213, 103, 4, 3], [1, 15, 93, 138, 678, 294, 966, 252, 297, 67, 13, 2], [1, 15, 94, 129, 714, 210, 1092, 126, 381, 31, 22, 1], [1, 16, 83, 183, 558, 504, 714, 462, 177, 112, 3, 3], [1, 16, 84, 174, 594, 420, 840, 336, 261, 76, 12, 2], [1, 16, 85, 165, 630, 336, 966, 210, 345, 40, 21, 1], [1, 16, 86, 156, 666, 252, 1092, 84, 429, 4, 30, 0], [1, 17, 74, 219, 474, 630, 588, 546, 141, 121, 2, 3], [1, 17, 75, 210, 510, 546, 714, 420, 225, 85, 11, 2], [1, 17, 76, 201, 546, 462, 840, 294, 309, 49, 20, 1], [1, 17, 77, 192, 582, 378, 966, 168, 393, 13, 29, 0], [1, 18, 65, 255, 390, 756, 462, 630, 105, 130, 1, 3], [1, 18, 66, 246, 426, 672, 588, 504, 189, 94, 10, 2], [1, 18, 67, 237, 462, 588, 714, 378, 273, 58, 19, 1], [1, 18, 68, 228, 498, 504, 840, 252, 357, 22, 28, 0], [1, 19, 56, 291, 306, 882, 336, 714, 69, 139, 0, 3], [1, 19, 57, 282, 342, 798, 462, 588, 153, 103, 9, 2], [1, 19, 58, 273, 378, 714, 588, 462, 237, 67, 18, 1], [1, 19, 59, 264, 414, 630, 714, 336, 321, 31, 27, 0], [1, 20, 48, 318, 258, 924, 336, 672, 117, 112, 8, 2], [1, 20, 49, 309, 294, 840, 462, 546, 201, 76, 17, 1], [1, 20, 50, 300, 330, 756, 588, 420, 285, 40, 26, 0], [1, 21, 39, 354, 174, 1050, 210, 756, 81, 121, 7, 2], [1, 21, 40, 345, 210, 966, 336, 630, 165, 85, 16, 1], [1, 21, 41, 336, 246, 882, 462, 504, 249, 49, 25, 0], [1, 22, 30, 390, 90, 1176, 84, 840, 45, 130, 6, 2], [1, 22, 31, 381, 126, 1092, 210, 714, 129, 94, 15, 1], [1, 22, 32, 372, 162, 1008, 336, 588, 213, 58, 24, 0], [1, 23, 22, 417, 42, 1218, 84, 798, 93, 103, 14, 1], [1, 23, 23, 408, 78, 1134, 210, 672, 177, 67, 23, 0], [2, 5, 137, 27, 852, 126, 1050, 258, 258, 93, 5, 3], [2, 5, 138, 18, 888, 42, 1176, 132, 342, 57, 14, 2], [2, 6, 128, 63, 768, 252, 924, 342, 222, 102, 4, 3], [2, 6, 129, 54, 804, 168, 1050, 216, 306, 66, 13, 2], [2, 6, 130, 45, 840, 84, 1176, 90, 390, 30, 22, 1], [2, 7, 119, 99, 684, 378, 798, 426, 186, 111, 3, 3], [2, 7, 120, 90, 720, 294, 924, 300, 270, 75, 12, 2], [2, 7, 121, 81, 756, 210, 1050, 174, 354, 39, 21, 1], [2, 7, 122, 72, 792, 126, 1176, 48, 438, 3, 30, 0], [2, 8, 110, 135, 600, 504, 672, 510, 150, 120, 2, 3], [2, 8, 111, 126, 636, 420, 798, 384, 234, 84, 11, 2], [2, 8, 112, 117, 672, 336, 924, 258, 318, 48, 20, 1], [2, 8, 113, 108, 708, 252, 1050, 132, 402, 12, 29, 0], [2, 9, 101, 171, 516, 630, 546, 594, 114, 129, 1, 3], [2, 9, 102, 162, 552, 546, 672, 468, 198, 93, 10, 2], [2, 9, 103, 153, 588, 462, 798, 342, 282, 57, 19, 1], [2, 9, 104, 144, 624, 378, 924, 216, 366, 21, 28, 0], [2, 10, 92, 207, 432, 756, 420, 678, 78, 138, 0, 3], [2, 10, 93, 198, 468, 672, 546, 552, 162, 102, 9, 2], [2, 10, 94, 189, 504, 588, 672, 426, 246, 66, 18, 1], [2, 10, 95, 180, 540, 504, 798, 300, 330, 30, 27, 0], [2, 11, 84, 234, 384, 798, 420, 636, 126, 111, 8, 2], [2, 11, 85, 225, 420, 714, 546, 510, 210, 75, 17, 1], [2, 11, 86, 216, 456, 630, 672, 384, 294, 39, 26, 0], [2, 12, 75, 270, 300, 924, 294, 720, 90, 120, 7, 2], [2, 12, 76, 261, 336, 840, 420, 594, 174, 84, 16, 1], [2, 12, 77, 252, 372, 756, 546, 468, 258, 48, 25, 0], [2, 13, 66, 306, 216, 1050, 168, 804, 54, 129, 6, 2], [2, 13, 67, 297, 252, 966, 294, 678, 138, 93, 15, 1], [2, 13, 68, 288, 288, 882, 420, 552, 222, 57, 24, 0], [2, 14, 57, 342, 132, 1176, 42, 888, 18, 138, 5, 2], [2, 14, 58, 333, 168, 1092, 168, 762, 102, 102, 14, 1], [2, 14, 59, 324, 204, 1008, 294, 636, 186, 66, 23, 0], [2, 15, 49, 369, 84, 1218, 42, 846, 66, 111, 13, 1], [2, 15, 50, 360, 120, 1134, 168, 720, 150, 75, 22, 0], [2, 16, 41, 396, 36, 1260, 42, 804, 114, 84, 21, 0], [3, 0, 137, 87, 642, 504, 630, 558, 123, 128, 1, 3], [3, 0, 138, 78, 678, 420, 756, 432, 207, 92, 10, 2], [3, 0, 139, 69, 714, 336, 882, 306, 291, 56, 19, 1], [3, 0, 140, 60, 750, 252, 1008, 180, 375, 20, 28, 0], [3, 1, 128, 123, 558, 630, 504, 642, 87, 137, 0, 3], [3, 1, 129, 114, 594, 546, 630, 516, 171, 101, 9, 2], [3, 1, 130, 105, 630, 462, 756, 390, 255, 65, 18, 1], [3, 1, 131, 96, 666, 378, 882, 264, 339, 29, 27, 0], [3, 2, 120, 150, 510, 672, 504, 600, 135, 110, 8, 2], [3, 2, 121, 141, 546, 588, 630, 474, 219, 74, 17, 1], [3, 2, 122, 132, 582, 504, 756, 348, 303, 38, 26, 0], [3, 3, 111, 186, 426, 798, 378, 684, 99, 119, 7, 2], [3, 3, 112, 177, 462, 714, 504, 558, 183, 83, 16, 1], [3, 3, 113, 168, 498, 630, 630, 432, 267, 47, 25, 0], [3, 4, 102, 222, 342, 924, 252, 768, 63, 128, 6, 2], [3, 4, 103, 213, 378, 840, 378, 642, 147, 92, 15, 1], [3, 4, 104, 204, 414, 756, 504, 516, 231, 56, 24, 0], [3, 5, 93, 258, 258, 1050, 126, 852, 27, 137, 5, 2], [3, 5, 94, 249, 294, 966, 252, 726, 111, 101, 14, 1], [3, 5, 95, 240, 330, 882, 378, 600, 195, 65, 23, 0], [3, 6, 85, 285, 210, 1092, 126, 810, 75, 110, 13, 1], [3, 6, 86, 276, 246, 1008, 252, 684, 159, 74, 22, 0], [3, 7, 76, 321, 126, 1218, 0, 894, 39, 119, 12, 1], [3, 7, 77, 312, 162, 1134, 126, 768, 123, 83, 21, 0], [3, 8, 68, 348, 78, 1260, 0, 852, 87, 92, 20, 0]}
(12, 2816, 8) has 382 possible DDs: {[0, 7, 79, 17, 582, 366, 546, 858, 48, 283, 23, 5, 2], [0, 7, 80, 8, 618, 282, 672, 732, 132, 247, 32, 4, 2], [0, 7, 81, 0, 645, 234, 714, 732, 90, 295, 5, 12, 1], [0, 8, 70, 53, 498, 492, 420, 942, 12, 292, 22, 5, 2], [0, 8, 71, 44, 534, 408, 546, 816, 96, 256, 31, 4, 2], [0, 8, 72, 35, 570, 324, 672, 690, 180, 220, 40, 3, 2], [0, 8, 72, 36, 561, 360, 588, 816, 54, 304, 4, 12, 1], [0, 8, 73, 26, 606, 240, 798, 564, 264, 184, 49, 2, 2], [0, 8, 73, 27, 597, 276, 714, 690, 138, 268, 13, 11, 1], [0, 8, 74, 17, 642, 156, 924, 438, 348, 148, 58, 1, 2], [0, 8, 74, 18, 633, 192, 840, 564, 222, 232, 22, 10, 1], [0, 8, 75, 8, 678, 72, 1050, 312, 432, 112, 67, 0, 2], [0, 8, 75, 9, 669, 108, 966, 438, 306, 196, 31, 9, 1], [0, 8, 76, 0, 705, 24, 1092, 312, 390, 160, 40, 8, 1], [0, 8, 76, 1, 696, 60, 1008, 438, 264, 244, 4, 17, 0], [0, 9, 62, 80, 450, 534, 420, 900, 60, 265, 30, 4, 2], [0, 9, 63, 71, 486, 450, 546, 774, 144, 229, 39, 3, 2], [0, 9, 63, 72, 477, 486, 462, 900, 18, 313, 3, 12, 1], [0, 9, 64, 62, 522, 366, 672, 648, 228, 193, 48, 2, 2], [0, 9, 64, 63, 513, 402, 588, 774, 102, 277, 12, 11, 1], [0, 9, 65, 53, 558, 282, 798, 522, 312, 157, 57, 1, 2], [0, 9, 65, 54, 549, 318, 714, 648, 186, 241, 21, 10, 1], [0, 9, 66, 44, 594, 198, 924, 396, 396, 121, 66, 0, 2], [0, 9, 66, 45, 585, 234, 840, 522, 270, 205, 30, 9, 1], [0, 9, 67, 36, 621, 150, 966, 396, 354, 169, 39, 8, 1], [0, 9, 67, 37, 612, 186, 882, 522, 228, 253, 3, 17, 0], [0, 9, 68, 27, 657, 66, 1092, 270, 438, 133, 48, 7, 1], [0, 9, 68, 28, 648, 102, 1008, 396, 312, 217, 12, 16, 0], [0, 9, 69, 19, 684, 18, 1134, 270, 396, 181, 21, 15, 0], [0, 10, 53, 116, 366, 660, 294, 984, 24, 274, 29, 4, 2], [0, 10, 54, 107, 402, 576, 420, 858, 108, 238, 38, 3, 2], [0, 10, 55, 98, 438, 492, 546, 732, 192, 202, 47, 2, 2], [0, 10, 55, 99, 429, 528, 462, 858, 66, 286, 11, 11, 1], [0, 10, 56, 89, 474, 408, 672, 606, 276, 166, 56, 1, 2], [0, 10, 56, 90, 465, 444, 588, 732, 150, 250, 20, 10, 1], [0, 10, 57, 80, 510, 324, 798, 480, 360, 130, 65, 0, 2], [0, 10, 57, 81, 501, 360, 714, 606, 234, 214, 29, 9, 1], [0, 10, 58, 72, 537, 276, 840, 480, 318, 178, 38, 8, 1], [0, 10, 58, 73, 528, 312, 756, 606, 192, 262, 2, 17, 0], [0, 10, 59, 63, 573, 192, 966, 354, 402, 142, 47, 7, 1], [0, 10, 59, 64, 564, 228, 882, 480, 276, 226, 11, 16, 0], [0, 10, 60, 54, 609, 108, 1092, 228, 486, 106, 56, 6, 1], [0, 10, 60, 55, 600, 144, 1008, 354, 360, 190, 20, 15, 0], [0, 10, 61, 45, 645, 24, 1218, 102, 570, 70, 65, 5, 1], [0, 10, 61, 46, 636, 60, 1134, 228, 444, 154, 29, 14, 0], [0, 11, 45, 143, 318, 702, 294, 942, 72, 247, 37, 3, 2], [0, 11, 46, 134, 354, 618, 420, 816, 156, 211, 46, 2, 2], [0, 11, 46, 135, 345, 654, 336, 942, 30, 295, 10, 11, 1], [0, 11, 47, 125, 390, 534, 546, 690, 240, 175, 55, 1, 2], [0, 11, 47, 126, 381, 570, 462, 816, 114, 259, 19, 10, 1], [0, 11, 48, 116, 426, 450, 672, 564, 324, 139, 64, 0, 2], [0, 11, 48, 117, 417, 486, 588, 690, 198, 223, 28, 9, 1], [0, 11, 49, 108, 453, 402, 714, 564, 282, 187, 37, 8, 1], [0, 11, 49, 109, 444, 438, 630, 690, 156, 271, 1, 17, 0], [0, 11, 50, 99, 489, 318, 840, 438, 366, 151, 46, 7, 1], [0, 11, 50, 100, 480, 354, 756, 564, 240, 235, 10, 16, 0], [0, 11, 51, 90, 525, 234, 966, 312, 450, 115, 55, 6, 1], [0, 11, 51, 91, 516, 270, 882, 438, 324, 199, 19, 15, 0], [0, 11, 52, 81, 561, 150, 1092, 186, 534, 79, 64, 5, 1], [0, 11, 52, 82, 552, 186, 1008, 312, 408, 163, 28, 14, 0], [0, 11, 53, 72, 597, 66, 1218, 60, 618, 43, 73, 4, 1], [0, 11, 53, 73, 588, 102, 1134, 186, 492, 127, 37, 13, 0], [0, 11, 54, 64, 624, 18, 1260, 60, 576, 91, 46, 12, 0], [0, 12, 36, 179, 234, 828, 168, 1026, 36, 256, 36, 3, 2], [0, 12, 37, 170, 270, 744, 294, 900, 120, 220, 45, 2, 2], [0, 12, 38, 161, 306, 660, 420, 774, 204, 184, 54, 1, 2], [0, 12, 38, 162, 297, 696, 336, 900, 78, 268, 18, 10, 1], [0, 12, 39, 152, 342, 576, 546, 648, 288, 148, 63, 0, 2], [0, 12, 39, 153, 333, 612, 462, 774, 162, 232, 27, 9, 1], [0, 12, 40, 144, 369, 528, 588, 648, 246, 196, 36, 8, 1], [0, 12, 40, 145, 360, 564, 504, 774, 120, 280, 0, 17, 0], [0, 12, 41, 135, 405, 444, 714, 522, 330, 160, 45, 7, 1], [0, 12, 41, 136, 396, 480, 630, 648, 204, 244, 9, 16, 0], [0, 12, 42, 126, 441, 360, 840, 396, 414, 124, 54, 6, 1], [0, 12, 42, 127, 432, 396, 756, 522, 288, 208, 18, 15, 0], [0, 12, 43, 117, 477, 276, 966, 270, 498, 88, 63, 5, 1], [0, 12, 43, 118, 468, 312, 882, 396, 372, 172, 27, 14, 0], [0, 12, 44, 108, 513, 192, 1092, 144, 582, 52, 72, 4, 1], [0, 12, 44, 109, 504, 228, 1008, 270, 456, 136, 36, 13, 0], [0, 12, 45, 99, 549, 108, 1218, 18, 666, 16, 81, 3, 1], [0, 12, 45, 100, 540, 144, 1134, 144, 540, 100, 45, 12, 0], [0, 12, 46, 91, 576, 60, 1260, 18, 624, 64, 54, 11, 0], [0, 13, 27, 215, 150, 954, 42, 1110, 0, 265, 35, 3, 2], [0, 13, 28, 206, 186, 870, 168, 984, 84, 229, 44, 2, 2], [0, 13, 29, 197, 222, 786, 294, 858, 168, 193, 53, 1, 2], [0, 13, 29, 198, 213, 822, 210, 984, 42, 277, 17, 10, 1], [0, 13, 30, 188, 258, 702, 420, 732, 252, 157, 62, 0, 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558, 53, 65, 9, 0], [2, 1, 58, 148, 348, 438, 924, 156, 642, 17, 74, 8, 0], [2, 2, 42, 246, 21, 1116, 0, 996, 144, 194, 46, 6, 1], [2, 2, 43, 237, 57, 1032, 126, 870, 228, 158, 55, 5, 1], [2, 2, 43, 238, 48, 1068, 42, 996, 102, 242, 19, 14, 0], [2, 2, 44, 228, 93, 948, 252, 744, 312, 122, 64, 4, 1], [2, 2, 44, 229, 84, 984, 168, 870, 186, 206, 28, 13, 0], [2, 2, 45, 219, 129, 864, 378, 618, 396, 86, 73, 3, 1], [2, 2, 45, 220, 120, 900, 294, 744, 270, 170, 37, 12, 0], [2, 2, 46, 210, 165, 780, 504, 492, 480, 50, 82, 2, 1], [2, 2, 46, 211, 156, 816, 420, 618, 354, 134, 46, 11, 0], [2, 2, 47, 201, 201, 696, 630, 366, 564, 14, 91, 1, 1], [2, 2, 47, 202, 192, 732, 546, 492, 438, 98, 55, 10, 0], [2, 2, 48, 193, 228, 648, 672, 366, 522, 62, 64, 9, 0], [2, 2, 49, 184, 264, 564, 798, 240, 606, 26, 73, 8, 0], [2, 3, 35, 264, 9, 1074, 126, 828, 276, 131, 63, 4, 1], [2, 3, 35, 265, 0, 1110, 42, 954, 150, 215, 27, 13, 0], [2, 3, 36, 255, 45, 990, 252, 702, 360, 95, 72, 3, 1], [2, 3, 36, 256, 36, 1026, 168, 828, 234, 179, 36, 12, 0], [2, 3, 37, 246, 81, 906, 378, 576, 444, 59, 81, 2, 1], [2, 3, 37, 247, 72, 942, 294, 702, 318, 143, 45, 11, 0], [2, 3, 38, 237, 117, 822, 504, 450, 528, 23, 90, 1, 1], [2, 3, 38, 238, 108, 858, 420, 576, 402, 107, 54, 10, 0], [2, 3, 39, 229, 144, 774, 546, 450, 486, 71, 63, 9, 0], [2, 3, 40, 220, 180, 690, 672, 324, 570, 35, 72, 8, 0], [2, 4, 29, 273, 33, 948, 378, 534, 492, 32, 89, 1, 1], [2, 4, 29, 274, 24, 984, 294, 660, 366, 116, 53, 10, 0], [2, 4, 30, 265, 60, 900, 420, 534, 450, 80, 62, 9, 0], [2, 4, 31, 256, 96, 816, 546, 408, 534, 44, 71, 8, 0], [2, 4, 32, 247, 132, 732, 672, 282, 618, 8, 80, 7, 0], [2, 5, 22, 292, 12, 942, 420, 492, 498, 53, 70, 8, 0], [2, 5, 23, 283, 48, 858, 546, 366, 582, 17, 79, 7, 0]}
(13, 2816, 8) has 1036 possible DDs: {[0, 0, 64, 10, 273, 690, 84, 996, 390, 92, 212, 2, 1, 2], [0, 0, 64, 11, 264, 726, 0, 1122, 264, 176, 176, 11, 0, 2], [0, 0, 65, 1, 309, 606, 210, 870, 474, 56, 221, 1, 1, 2], [0, 0, 65, 2, 300, 642, 126, 996, 348, 140, 185, 10, 0, 2], [0, 1, 56, 37, 225, 732, 84, 954, 438, 65, 220, 1, 1, 2], [0, 1, 56, 38, 216, 768, 0, 1080, 312, 149, 184, 10, 0, 2], [0, 1, 57, 28, 261, 648, 210, 828, 522, 29, 229, 0, 1, 2], [0, 1, 57, 29, 252, 684, 126, 954, 396, 113, 193, 9, 0, 2], [0, 1, 58, 20, 288, 600, 252, 828, 480, 77, 202, 8, 0, 2], [0, 1, 59, 11, 324, 516, 378, 702, 564, 41, 211, 7, 0, 2], [0, 1, 59, 15, 289, 651, 78, 1122, 186, 251, 151, 7, 5, 1], [0, 1, 60, 2, 360, 432, 504, 576, 648, 5, 220, 6, 0, 2], [0, 1, 60, 6, 325, 567, 204, 996, 270, 215, 160, 6, 5, 1], [0, 1, 60, 7, 316, 603, 120, 1122, 144, 299, 124, 15, 4, 1], [0, 1, 60, 8, 307, 639, 36, 1248, 18, 383, 88, 24, 3, 1], [0, 2, 48, 64, 177, 774, 84, 912, 486, 38, 228, 0, 1, 2], [0, 2, 48, 65, 168, 810, 0, 1038, 360, 122, 192, 9, 0, 2], [0, 2, 49, 56, 204, 726, 126, 912, 444, 86, 201, 8, 0, 2], [0, 2, 50, 47, 240, 642, 252, 786, 528, 50, 210, 7, 0, 2], [0, 2, 51, 38, 276, 558, 378, 660, 612, 14, 219, 6, 0, 2], [0, 2, 51, 42, 241, 693, 78, 1080, 234, 224, 159, 6, 5, 1], [0, 2, 52, 33, 277, 609, 204, 954, 318, 188, 168, 5, 5, 1], [0, 2, 52, 34, 268, 645, 120, 1080, 192, 272, 132, 14, 4, 1], [0, 2, 52, 35, 259, 681, 36, 1206, 66, 356, 96, 23, 3, 1], [0, 2, 53, 24, 313, 525, 330, 828, 402, 152, 177, 4, 5, 1], [0, 2, 53, 25, 304, 561, 246, 954, 276, 236, 141, 13, 4, 1], [0, 2, 53, 26, 295, 597, 162, 1080, 150, 320, 105, 22, 3, 1], [0, 2, 53, 27, 286, 633, 78, 1206, 24, 404, 69, 31, 2, 1], [0, 2, 53, 28, 278, 660, 30, 1248, 24, 362, 117, 4, 10, 0], [0, 2, 54, 15, 349, 441, 456, 702, 486, 116, 186, 3, 5, 1], [0, 2, 54, 16, 340, 477, 372, 828, 360, 200, 150, 12, 4, 1], [0, 2, 54, 17, 331, 513, 288, 954, 234, 284, 114, 21, 3, 1], [0, 2, 54, 18, 322, 549, 204, 1080, 108, 368, 78, 30, 2, 1], [0, 2, 54, 19, 314, 576, 156, 1122, 108, 326, 126, 3, 10, 0], [0, 2, 55, 6, 385, 357, 582, 576, 570, 80, 195, 2, 5, 1], [0, 2, 55, 7, 376, 393, 498, 702, 444, 164, 159, 11, 4, 1], [0, 2, 55, 8, 367, 429, 414, 828, 318, 248, 123, 20, 3, 1], [0, 2, 55, 9, 358, 465, 330, 954, 192, 332, 87, 29, 2, 1], [0, 2, 55, 10, 349, 501, 246, 1080, 66, 416, 51, 38, 1, 1], [0, 2, 55, 10, 350, 492, 282, 996, 192, 290, 135, 2, 10, 0], [0, 2, 55, 11, 341, 528, 198, 1122, 66, 374, 99, 11, 9, 0], [0, 2, 56, 0, 394, 381, 456, 828, 276, 296, 96, 28, 2, 1], [0, 2, 56, 1, 385, 417, 372, 954, 150, 380, 60, 37, 1, 1], [0, 2, 56, 1, 386, 408, 408, 870, 276, 254, 144, 1, 10, 0], [0, 2, 56, 2, 376, 453, 288, 1080, 24, 464, 24, 46, 0, 1], [0, 2, 56, 2, 377, 444, 324, 996, 150, 338, 108, 10, 9, 0], [0, 2, 56, 3, 368, 480, 240, 1122, 24, 422, 72, 19, 8, 0], [0, 3, 40, 92, 120, 852, 0, 996, 408, 95, 200, 8, 0, 2], [0, 3, 41, 83, 156, 768, 126, 870, 492, 59, 209, 7, 0, 2], [0, 3, 42, 74, 192, 684, 252, 744, 576, 23, 218, 6, 0, 2], [0, 3, 43, 69, 193, 735, 78, 1038, 282, 197, 167, 5, 5, 1], [0, 3, 44, 60, 229, 651, 204, 912, 366, 161, 176, 4, 5, 1], [0, 3, 44, 61, 220, 687, 120, 1038, 240, 245, 140, 13, 4, 1], [0, 3, 44, 62, 211, 723, 36, 1164, 114, 329, 104, 22, 3, 1], [0, 3, 45, 51, 265, 567, 330, 786, 450, 125, 185, 3, 5, 1], [0, 3, 45, 52, 256, 603, 246, 912, 324, 209, 149, 12, 4, 1], [0, 3, 45, 53, 247, 639, 162, 1038, 198, 293, 113, 21, 3, 1], [0, 3, 45, 54, 238, 675, 78, 1164, 72, 377, 77, 30, 2, 1], [0, 3, 45, 55, 230, 702, 30, 1206, 72, 335, 125, 3, 10, 0], [0, 3, 46, 42, 301, 483, 456, 660, 534, 89, 194, 2, 5, 1], [0, 3, 46, 43, 292, 519, 372, 786, 408, 173, 158, 11, 4, 1], [0, 3, 46, 44, 283, 555, 288, 912, 282, 257, 122, 20, 3, 1], [0, 3, 46, 45, 274, 591, 204, 1038, 156, 341, 86, 29, 2, 1], [0, 3, 46, 46, 265, 627, 120, 1164, 30, 425, 50, 38, 1, 1], [0, 3, 46, 46, 266, 618, 156, 1080, 156, 299, 134, 2, 10, 0], [0, 3, 46, 47, 257, 654, 72, 1206, 30, 383, 98, 11, 9, 0], [0, 3, 47, 33, 337, 399, 582, 534, 618, 53, 203, 1, 5, 1], [0, 3, 47, 34, 328, 435, 498, 660, 492, 137, 167, 10, 4, 1], [0, 3, 47, 35, 319, 471, 414, 786, 366, 221, 131, 19, 3, 1], [0, 3, 47, 36, 310, 507, 330, 912, 240, 305, 95, 28, 2, 1], [0, 3, 47, 37, 301, 543, 246, 1038, 114, 389, 59, 37, 1, 1], [0, 3, 47, 37, 302, 534, 282, 954, 240, 263, 143, 1, 10, 0], [0, 3, 47, 38, 293, 570, 198, 1080, 114, 347, 107, 10, 9, 0], [0, 3, 48, 24, 373, 315, 708, 408, 702, 17, 212, 0, 5, 1], [0, 3, 48, 25, 364, 351, 624, 534, 576, 101, 176, 9, 4, 1], [0, 3, 48, 26, 355, 387, 540, 660, 450, 185, 140, 18, 3, 1], [0, 3, 48, 27, 346, 423, 456, 786, 324, 269, 104, 27, 2, 1], [0, 3, 48, 28, 337, 459, 372, 912, 198, 353, 68, 36, 1, 1], [0, 3, 48, 28, 338, 450, 408, 828, 324, 227, 152, 0, 10, 0], [0, 3, 48, 29, 328, 495, 288, 1038, 72, 437, 32, 45, 0, 1], [0, 3, 48, 29, 329, 486, 324, 954, 198, 311, 116, 9, 9, 0], [0, 3, 48, 30, 320, 522, 240, 1080, 72, 395, 80, 18, 8, 0], [0, 3, 49, 16, 400, 267, 750, 408, 660, 65, 185, 8, 4, 1], [0, 3, 49, 17, 391, 303, 666, 534, 534, 149, 149, 17, 3, 1], [0, 3, 49, 18, 382, 339, 582, 660, 408, 233, 113, 26, 2, 1], [0, 3, 49, 19, 373, 375, 498, 786, 282, 317, 77, 35, 1, 1], [0, 3, 49, 20, 364, 411, 414, 912, 156, 401, 41, 44, 0, 1], [0, 3, 49, 20, 365, 402, 450, 828, 282, 275, 125, 8, 9, 0], [0, 3, 49, 21, 356, 438, 366, 954, 156, 359, 89, 17, 8, 0], [0, 3, 49, 22, 347, 474, 282, 1080, 30, 443, 53, 26, 7, 0], [0, 3, 50, 7, 436, 183, 876, 282, 744, 29, 194, 7, 4, 1], [0, 3, 50, 8, 427, 219, 792, 408, 618, 113, 158, 16, 3, 1], [0, 3, 50, 9, 418, 255, 708, 534, 492, 197, 122, 25, 2, 1], [0, 3, 50, 10, 409, 291, 624, 660, 366, 281, 86, 34, 1, 1], [0, 3, 50, 11, 400, 327, 540, 786, 240, 365, 50, 43, 0, 1], [0, 3, 50, 11, 401, 318, 576, 702, 366, 239, 134, 7, 9, 0], [0, 3, 50, 12, 392, 354, 492, 828, 240, 323, 98, 16, 8, 0], [0, 3, 50, 13, 383, 390, 408, 954, 114, 407, 62, 25, 7, 0], [0, 3, 51, 0, 454, 171, 834, 408, 576, 161, 131, 24, 2, 1], [0, 3, 51, 1, 445, 207, 750, 534, 450, 245, 95, 33, 1, 1], [0, 3, 51, 2, 436, 243, 666, 660, 324, 329, 59, 42, 0, 1], [0, 3, 51, 2, 437, 234, 702, 576, 450, 203, 143, 6, 9, 0], [0, 3, 51, 3, 428, 270, 618, 702, 324, 287, 107, 15, 8, 0], [0, 3, 51, 4, 419, 306, 534, 828, 198, 371, 71, 24, 7, 0], [0, 3, 51, 5, 410, 342, 450, 954, 72, 455, 35, 33, 6, 0], [0, 4, 32, 119, 72, 894, 0, 954, 456, 68, 208, 7, 0, 2], [0, 4, 33, 110, 108, 810, 126, 828, 540, 32, 217, 6, 0, 2], [0, 4, 35, 96, 145, 777, 78, 996, 330, 170, 175, 4, 5, 1], [0, 4, 36, 87, 181, 693, 204, 870, 414, 134, 184, 3, 5, 1], [0, 4, 36, 88, 172, 729, 120, 996, 288, 218, 148, 12, 4, 1], [0, 4, 36, 89, 163, 765, 36, 1122, 162, 302, 112, 21, 3, 1], [0, 4, 37, 78, 217, 609, 330, 744, 498, 98, 193, 2, 5, 1], [0, 4, 37, 79, 208, 645, 246, 870, 372, 182, 157, 11, 4, 1], [0, 4, 37, 80, 199, 681, 162, 996, 246, 266, 121, 20, 3, 1], [0, 4, 37, 81, 190, 717, 78, 1122, 120, 350, 85, 29, 2, 1], [0, 4, 37, 82, 182, 744, 30, 1164, 120, 308, 133, 2, 10, 0], [0, 4, 38, 69, 253, 525, 456, 618, 582, 62, 202, 1, 5, 1], [0, 4, 38, 70, 244, 561, 372, 744, 456, 146, 166, 10, 4, 1], [0, 4, 38, 71, 235, 597, 288, 870, 330, 230, 130, 19, 3, 1], [0, 4, 38, 72, 226, 633, 204, 996, 204, 314, 94, 28, 2, 1], [0, 4, 38, 73, 217, 669, 120, 1122, 78, 398, 58, 37, 1, 1], [0, 4, 38, 73, 218, 660, 156, 1038, 204, 272, 142, 1, 10, 0], [0, 4, 38, 74, 209, 696, 72, 1164, 78, 356, 106, 10, 9, 0], [0, 4, 39, 60, 289, 441, 582, 492, 666, 26, 211, 0, 5, 1], [0, 4, 39, 61, 280, 477, 498, 618, 540, 110, 175, 9, 4, 1], [0, 4, 39, 62, 271, 513, 414, 744, 414, 194, 139, 18, 3, 1], [0, 4, 39, 63, 262, 549, 330, 870, 288, 278, 103, 27, 2, 1], [0, 4, 39, 64, 253, 585, 246, 996, 162, 362, 67, 36, 1, 1], [0, 4, 39, 64, 254, 576, 282, 912, 288, 236, 151, 0, 10, 0], [0, 4, 39, 65, 244, 621, 162, 1122, 36, 446, 31, 45, 0, 1], [0, 4, 39, 65, 245, 612, 198, 1038, 162, 320, 115, 9, 9, 0], [0, 4, 39, 66, 236, 648, 114, 1164, 36, 404, 79, 18, 8, 0], [0, 4, 40, 52, 316, 393, 624, 492, 624, 74, 184, 8, 4, 1], [0, 4, 40, 53, 307, 429, 540, 618, 498, 158, 148, 17, 3, 1], [0, 4, 40, 54, 298, 465, 456, 744, 372, 242, 112, 26, 2, 1], [0, 4, 40, 55, 289, 501, 372, 870, 246, 326, 76, 35, 1, 1], [0, 4, 40, 56, 280, 537, 288, 996, 120, 410, 40, 44, 0, 1], [0, 4, 40, 56, 281, 528, 324, 912, 246, 284, 124, 8, 9, 0], [0, 4, 40, 57, 272, 564, 240, 1038, 120, 368, 88, 17, 8, 0], [0, 4, 41, 43, 352, 309, 750, 366, 708, 38, 193, 7, 4, 1], [0, 4, 41, 44, 343, 345, 666, 492, 582, 122, 157, 16, 3, 1], [0, 4, 41, 45, 334, 381, 582, 618, 456, 206, 121, 25, 2, 1], [0, 4, 41, 46, 325, 417, 498, 744, 330, 290, 85, 34, 1, 1], [0, 4, 41, 47, 316, 453, 414, 870, 204, 374, 49, 43, 0, 1], [0, 4, 41, 47, 317, 444, 450, 786, 330, 248, 133, 7, 9, 0], [0, 4, 41, 48, 308, 480, 366, 912, 204, 332, 97, 16, 8, 0], [0, 4, 41, 49, 299, 516, 282, 1038, 78, 416, 61, 25, 7, 0], [0, 4, 42, 34, 388, 225, 876, 240, 792, 2, 202, 6, 4, 1], [0, 4, 42, 35, 379, 261, 792, 366, 666, 86, 166, 15, 3, 1], [0, 4, 42, 36, 370, 297, 708, 492, 540, 170, 130, 24, 2, 1], [0, 4, 42, 37, 361, 333, 624, 618, 414, 254, 94, 33, 1, 1], [0, 4, 42, 38, 352, 369, 540, 744, 288, 338, 58, 42, 0, 1], [0, 4, 42, 38, 353, 360, 576, 660, 414, 212, 142, 6, 9, 0], [0, 4, 42, 39, 344, 396, 492, 786, 288, 296, 106, 15, 8, 0], [0, 4, 42, 40, 335, 432, 408, 912, 162, 380, 70, 24, 7, 0], [0, 4, 42, 41, 326, 468, 324, 1038, 36, 464, 34, 33, 6, 0], [0, 4, 43, 26, 415, 177, 918, 240, 750, 50, 175, 14, 3, 1], [0, 4, 43, 27, 406, 213, 834, 366, 624, 134, 139, 23, 2, 1], [0, 4, 43, 28, 397, 249, 750, 492, 498, 218, 103, 32, 1, 1], [0, 4, 43, 29, 388, 285, 666, 618, 372, 302, 67, 41, 0, 1], [0, 4, 43, 29, 389, 276, 702, 534, 498, 176, 151, 5, 9, 0], [0, 4, 43, 30, 380, 312, 618, 660, 372, 260, 115, 14, 8, 0], [0, 4, 43, 31, 371, 348, 534, 786, 246, 344, 79, 23, 7, 0], [0, 4, 43, 32, 362, 384, 450, 912, 120, 428, 43, 32, 6, 0], [0, 4, 44, 17, 451, 93, 1044, 114, 834, 14, 184, 13, 3, 1], [0, 4, 44, 18, 442, 129, 960, 240, 708, 98, 148, 22, 2, 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