-------
(13, 3840, 8) ALL distance distributions
(8, 3840, 8) has 1 possible DDs: {[15, 120, 420, 840, 1050, 840, 420, 120, 15]}
(9, 3840, 8) has 16 possible DDs: {[0, 135, 0, 1260, 0, 1890, 0, 540, 0, 15], [1, 126, 36, 1176, 126, 1764, 84, 504, 9, 14], [2, 117, 72, 1092, 252, 1638, 168, 468, 18, 13], [3, 108, 108, 1008, 378, 1512, 252, 432, 27, 12], [4, 99, 144, 924, 504, 1386, 336, 396, 36, 11], [5, 90, 180, 840, 630, 1260, 420, 360, 45, 10], [6, 81, 216, 756, 756, 1134, 504, 324, 54, 9], [7, 72, 252, 672, 882, 1008, 588, 288, 63, 8], [8, 63, 288, 588, 1008, 882, 672, 252, 72, 7], [9, 54, 324, 504, 1134, 756, 756, 216, 81, 6], [10, 45, 360, 420, 1260, 630, 840, 180, 90, 5], [11, 36, 396, 336, 1386, 504, 924, 144, 99, 4], [12, 27, 432, 252, 1512, 378, 1008, 108, 108, 3], [13, 18, 468, 168, 1638, 252, 1092, 72, 117, 2], [14, 9, 504, 84, 1764, 126, 1176, 36, 126, 1], [15, 0, 540, 0, 1890, 0, 1260, 0, 135, 0]}
(10, 3840, 8) has 72 possible DDs: {[0, 67, 72, 612, 672, 882, 1008, 228, 288, 3, 8], [0, 68, 63, 648, 588, 1008, 882, 312, 252, 12, 7], [0, 69, 54, 684, 504, 1134, 756, 396, 216, 21, 6], [0, 70, 45, 720, 420, 1260, 630, 480, 180, 30, 5], [0, 71, 36, 756, 336, 1386, 504, 564, 144, 39, 4], [0, 72, 27, 792, 252, 1512, 378, 648, 108, 48, 3], [0, 73, 18, 828, 168, 1638, 252, 732, 72, 57, 2], [0, 74, 9, 864, 84, 1764, 126, 816, 36, 66, 1], [0, 75, 0, 900, 0, 1890, 0, 900, 0, 75, 0], [1, 58, 108, 528, 798, 756, 1092, 192, 297, 2, 8], [1, 59, 99, 564, 714, 882, 966, 276, 261, 11, 7], [1, 60, 90, 600, 630, 1008, 840, 360, 225, 20, 6], [1, 61, 81, 636, 546, 1134, 714, 444, 189, 29, 5], [1, 62, 72, 672, 462, 1260, 588, 528, 153, 38, 4], [1, 63, 63, 708, 378, 1386, 462, 612, 117, 47, 3], [1, 64, 54, 744, 294, 1512, 336, 696, 81, 56, 2], [1, 65, 45, 780, 210, 1638, 210, 780, 45, 65, 1], [1, 66, 36, 816, 126, 1764, 84, 864, 9, 74, 0], [2, 49, 144, 444, 924, 630, 1176, 156, 306, 1, 8], [2, 50, 135, 480, 840, 756, 1050, 240, 270, 10, 7], [2, 51, 126, 516, 756, 882, 924, 324, 234, 19, 6], [2, 52, 117, 552, 672, 1008, 798, 408, 198, 28, 5], [2, 53, 108, 588, 588, 1134, 672, 492, 162, 37, 4], [2, 54, 99, 624, 504, 1260, 546, 576, 126, 46, 3], [2, 55, 90, 660, 420, 1386, 420, 660, 90, 55, 2], [2, 56, 81, 696, 336, 1512, 294, 744, 54, 64, 1], [2, 57, 72, 732, 252, 1638, 168, 828, 18, 73, 0], [3, 40, 180, 360, 1050, 504, 1260, 120, 315, 0, 8], [3, 41, 171, 396, 966, 630, 1134, 204, 279, 9, 7], [3, 42, 162, 432, 882, 756, 1008, 288, 243, 18, 6], [3, 43, 153, 468, 798, 882, 882, 372, 207, 27, 5], [3, 44, 144, 504, 714, 1008, 756, 456, 171, 36, 4], [3, 45, 135, 540, 630, 1134, 630, 540, 135, 45, 3], [3, 46, 126, 576, 546, 1260, 504, 624, 99, 54, 2], [3, 47, 117, 612, 462, 1386, 378, 708, 63, 63, 1], [3, 48, 108, 648, 378, 1512, 252, 792, 27, 72, 0], [4, 32, 207, 312, 1092, 504, 1218, 168, 288, 8, 7], [4, 33, 198, 348, 1008, 630, 1092, 252, 252, 17, 6], [4, 34, 189, 384, 924, 756, 966, 336, 216, 26, 5], [4, 35, 180, 420, 840, 882, 840, 420, 180, 35, 4], [4, 36, 171, 456, 756, 1008, 714, 504, 144, 44, 3], [4, 37, 162, 492, 672, 1134, 588, 588, 108, 53, 2], [4, 38, 153, 528, 588, 1260, 462, 672, 72, 62, 1], [4, 39, 144, 564, 504, 1386, 336, 756, 36, 71, 0], [5, 23, 243, 228, 1218, 378, 1302, 132, 297, 7, 7], [5, 24, 234, 264, 1134, 504, 1176, 216, 261, 16, 6], [5, 25, 225, 300, 1050, 630, 1050, 300, 225, 25, 5], [5, 26, 216, 336, 966, 756, 924, 384, 189, 34, 4], [5, 27, 207, 372, 882, 882, 798, 468, 153, 43, 3], [5, 28, 198, 408, 798, 1008, 672, 552, 117, 52, 2], [5, 29, 189, 444, 714, 1134, 546, 636, 81, 61, 1], [5, 30, 180, 480, 630, 1260, 420, 720, 45, 70, 0], [6, 14, 279, 144, 1344, 252, 1386, 96, 306, 6, 7], [6, 15, 270, 180, 1260, 378, 1260, 180, 270, 15, 6], [6, 16, 261, 216, 1176, 504, 1134, 264, 234, 24, 5], [6, 17, 252, 252, 1092, 630, 1008, 348, 198, 33, 4], [6, 18, 243, 288, 1008, 756, 882, 432, 162, 42, 3], [6, 19, 234, 324, 924, 882, 756, 516, 126, 51, 2], [6, 20, 225, 360, 840, 1008, 630, 600, 90, 60, 1], [6, 21, 216, 396, 756, 1134, 504, 684, 54, 69, 0], [7, 5, 315, 60, 1470, 126, 1470, 60, 315, 5, 7], [7, 6, 306, 96, 1386, 252, 1344, 144, 279, 14, 6], [7, 7, 297, 132, 1302, 378, 1218, 228, 243, 23, 5], [7, 8, 288, 168, 1218, 504, 1092, 312, 207, 32, 4], [7, 9, 279, 204, 1134, 630, 966, 396, 171, 41, 3], [7, 10, 270, 240, 1050, 756, 840, 480, 135, 50, 2], [7, 11, 261, 276, 966, 882, 714, 564, 99, 59, 1], [7, 12, 252, 312, 882, 1008, 588, 648, 63, 68, 0], [8, 0, 315, 120, 1260, 504, 1050, 360, 180, 40, 3], [8, 1, 306, 156, 1176, 630, 924, 444, 144, 49, 2], [8, 2, 297, 192, 1092, 756, 798, 528, 108, 58, 1], [8, 3, 288, 228, 1008, 882, 672, 612, 72, 67, 0]}
(11, 3840, 8) has 310 possible DDs: {[0, 27, 127, 117, 1152, 42, 1638, 198, 408, 123, 3, 5], [0, 28, 118, 153, 1068, 168, 1512, 282, 372, 132, 2, 5], [0, 28, 119, 144, 1104, 84, 1638, 156, 456, 96, 11, 4], [0, 28, 120, 135, 1140, 0, 1764, 30, 540, 60, 20, 3], [0, 29, 109, 189, 984, 294, 1386, 366, 336, 141, 1, 5], [0, 29, 110, 180, 1020, 210, 1512, 240, 420, 105, 10, 4], [0, 29, 111, 171, 1056, 126, 1638, 114, 504, 69, 19, 3], [0, 30, 100, 225, 900, 420, 1260, 450, 300, 150, 0, 5], [0, 30, 101, 216, 936, 336, 1386, 324, 384, 114, 9, 4], [0, 30, 102, 207, 972, 252, 1512, 198, 468, 78, 18, 3], [0, 30, 103, 198, 1008, 168, 1638, 72, 552, 42, 27, 2], [0, 31, 92, 252, 852, 462, 1260, 408, 348, 123, 8, 4], [0, 31, 93, 243, 888, 378, 1386, 282, 432, 87, 17, 3], [0, 31, 94, 234, 924, 294, 1512, 156, 516, 51, 26, 2], [0, 31, 95, 225, 960, 210, 1638, 30, 600, 15, 35, 1], [0, 32, 83, 288, 768, 588, 1134, 492, 312, 132, 7, 4], [0, 32, 84, 279, 804, 504, 1260, 366, 396, 96, 16, 3], [0, 32, 85, 270, 840, 420, 1386, 240, 480, 60, 25, 2], [0, 32, 86, 261, 876, 336, 1512, 114, 564, 24, 34, 1], [0, 33, 74, 324, 684, 714, 1008, 576, 276, 141, 6, 4], [0, 33, 75, 315, 720, 630, 1134, 450, 360, 105, 15, 3], [0, 33, 76, 306, 756, 546, 1260, 324, 444, 69, 24, 2], [0, 33, 77, 297, 792, 462, 1386, 198, 528, 33, 33, 1], [0, 34, 65, 360, 600, 840, 882, 660, 240, 150, 5, 4], [0, 34, 66, 351, 636, 756, 1008, 534, 324, 114, 14, 3], [0, 34, 67, 342, 672, 672, 1134, 408, 408, 78, 23, 2], [0, 34, 68, 333, 708, 588, 1260, 282, 492, 42, 32, 1], [0, 34, 69, 324, 744, 504, 1386, 156, 576, 6, 41, 0], [0, 35, 56, 396, 516, 966, 756, 744, 204, 159, 4, 4], [0, 35, 57, 387, 552, 882, 882, 618, 288, 123, 13, 3], [0, 35, 58, 378, 588, 798, 1008, 492, 372, 87, 22, 2], [0, 35, 59, 369, 624, 714, 1134, 366, 456, 51, 31, 1], [0, 35, 60, 360, 660, 630, 1260, 240, 540, 15, 40, 0], [0, 36, 47, 432, 432, 1092, 630, 828, 168, 168, 3, 4], [0, 36, 48, 423, 468, 1008, 756, 702, 252, 132, 12, 3], [0, 36, 49, 414, 504, 924, 882, 576, 336, 96, 21, 2], [0, 36, 50, 405, 540, 840, 1008, 450, 420, 60, 30, 1], [0, 36, 51, 396, 576, 756, 1134, 324, 504, 24, 39, 0], [0, 37, 38, 468, 348, 1218, 504, 912, 132, 177, 2, 4], [0, 37, 39, 459, 384, 1134, 630, 786, 216, 141, 11, 3], [0, 37, 40, 450, 420, 1050, 756, 660, 300, 105, 20, 2], [0, 37, 41, 441, 456, 966, 882, 534, 384, 69, 29, 1], [0, 37, 42, 432, 492, 882, 1008, 408, 468, 33, 38, 0], [0, 38, 29, 504, 264, 1344, 378, 996, 96, 186, 1, 4], [0, 38, 30, 495, 300, 1260, 504, 870, 180, 150, 10, 3], [0, 38, 31, 486, 336, 1176, 630, 744, 264, 114, 19, 2], [0, 38, 32, 477, 372, 1092, 756, 618, 348, 78, 28, 1], [0, 38, 33, 468, 408, 1008, 882, 492, 432, 42, 37, 0], [0, 39, 20, 540, 180, 1470, 252, 1080, 60, 195, 0, 4], [0, 39, 21, 531, 216, 1386, 378, 954, 144, 159, 9, 3], [0, 39, 22, 522, 252, 1302, 504, 828, 228, 123, 18, 2], [0, 39, 23, 513, 288, 1218, 630, 702, 312, 87, 27, 1], [0, 39, 24, 504, 324, 1134, 756, 576, 396, 51, 36, 0], [0, 40, 12, 567, 132, 1512, 252, 1038, 108, 168, 8, 3], [0, 40, 13, 558, 168, 1428, 378, 912, 192, 132, 17, 2], [0, 40, 14, 549, 204, 1344, 504, 786, 276, 96, 26, 1], [0, 40, 15, 540, 240, 1260, 630, 660, 360, 60, 35, 0], [0, 41, 3, 603, 48, 1638, 126, 1122, 72, 177, 7, 3], [0, 41, 4, 594, 84, 1554, 252, 996, 156, 141, 16, 2], [0, 41, 5, 585, 120, 1470, 378, 870, 240, 105, 25, 1], [0, 41, 6, 576, 156, 1386, 504, 744, 324, 69, 34, 0], [1, 19, 154, 69, 1194, 42, 1596, 246, 381, 131, 2, 5], [1, 20, 145, 105, 1110, 168, 1470, 330, 345, 140, 1, 5], [1, 20, 146, 96, 1146, 84, 1596, 204, 429, 104, 10, 4], [1, 20, 147, 87, 1182, 0, 1722, 78, 513, 68, 19, 3], [1, 21, 136, 141, 1026, 294, 1344, 414, 309, 149, 0, 5], [1, 21, 137, 132, 1062, 210, 1470, 288, 393, 113, 9, 4], [1, 21, 138, 123, 1098, 126, 1596, 162, 477, 77, 18, 3], [1, 21, 139, 114, 1134, 42, 1722, 36, 561, 41, 27, 2], [1, 22, 128, 168, 978, 336, 1344, 372, 357, 122, 8, 4], [1, 22, 129, 159, 1014, 252, 1470, 246, 441, 86, 17, 3], [1, 22, 130, 150, 1050, 168, 1596, 120, 525, 50, 26, 2], [1, 23, 119, 204, 894, 462, 1218, 456, 321, 131, 7, 4], [1, 23, 120, 195, 930, 378, 1344, 330, 405, 95, 16, 3], [1, 23, 121, 186, 966, 294, 1470, 204, 489, 59, 25, 2], [1, 23, 122, 177, 1002, 210, 1596, 78, 573, 23, 34, 1], [1, 24, 110, 240, 810, 588, 1092, 540, 285, 140, 6, 4], [1, 24, 111, 231, 846, 504, 1218, 414, 369, 104, 15, 3], [1, 24, 112, 222, 882, 420, 1344, 288, 453, 68, 24, 2], [1, 24, 113, 213, 918, 336, 1470, 162, 537, 32, 33, 1], [1, 25, 101, 276, 726, 714, 966, 624, 249, 149, 5, 4], [1, 25, 102, 267, 762, 630, 1092, 498, 333, 113, 14, 3], [1, 25, 103, 258, 798, 546, 1218, 372, 417, 77, 23, 2], [1, 25, 104, 249, 834, 462, 1344, 246, 501, 41, 32, 1], [1, 25, 105, 240, 870, 378, 1470, 120, 585, 5, 41, 0], [1, 26, 92, 312, 642, 840, 840, 708, 213, 158, 4, 4], [1, 26, 93, 303, 678, 756, 966, 582, 297, 122, 13, 3], [1, 26, 94, 294, 714, 672, 1092, 456, 381, 86, 22, 2], [1, 26, 95, 285, 750, 588, 1218, 330, 465, 50, 31, 1], [1, 26, 96, 276, 786, 504, 1344, 204, 549, 14, 40, 0], [1, 27, 83, 348, 558, 966, 714, 792, 177, 167, 3, 4], [1, 27, 84, 339, 594, 882, 840, 666, 261, 131, 12, 3], [1, 27, 85, 330, 630, 798, 966, 540, 345, 95, 21, 2], [1, 27, 86, 321, 666, 714, 1092, 414, 429, 59, 30, 1], [1, 27, 87, 312, 702, 630, 1218, 288, 513, 23, 39, 0], [1, 28, 74, 384, 474, 1092, 588, 876, 141, 176, 2, 4], [1, 28, 75, 375, 510, 1008, 714, 750, 225, 140, 11, 3], [1, 28, 76, 366, 546, 924, 840, 624, 309, 104, 20, 2], [1, 28, 77, 357, 582, 840, 966, 498, 393, 68, 29, 1], [1, 28, 78, 348, 618, 756, 1092, 372, 477, 32, 38, 0], [1, 29, 65, 420, 390, 1218, 462, 960, 105, 185, 1, 4], [1, 29, 66, 411, 426, 1134, 588, 834, 189, 149, 10, 3], [1, 29, 67, 402, 462, 1050, 714, 708, 273, 113, 19, 2], [1, 29, 68, 393, 498, 966, 840, 582, 357, 77, 28, 1], [1, 29, 69, 384, 534, 882, 966, 456, 441, 41, 37, 0], [1, 30, 56, 456, 306, 1344, 336, 1044, 69, 194, 0, 4], [1, 30, 57, 447, 342, 1260, 462, 918, 153, 158, 9, 3], [1, 30, 58, 438, 378, 1176, 588, 792, 237, 122, 18, 2], [1, 30, 59, 429, 414, 1092, 714, 666, 321, 86, 27, 1], [1, 30, 60, 420, 450, 1008, 840, 540, 405, 50, 36, 0], [1, 31, 48, 483, 258, 1386, 336, 1002, 117, 167, 8, 3], [1, 31, 49, 474, 294, 1302, 462, 876, 201, 131, 17, 2], [1, 31, 50, 465, 330, 1218, 588, 750, 285, 95, 26, 1], [1, 31, 51, 456, 366, 1134, 714, 624, 369, 59, 35, 0], [1, 32, 39, 519, 174, 1512, 210, 1086, 81, 176, 7, 3], [1, 32, 40, 510, 210, 1428, 336, 960, 165, 140, 16, 2], [1, 32, 41, 501, 246, 1344, 462, 834, 249, 104, 25, 1], [1, 32, 42, 492, 282, 1260, 588, 708, 333, 68, 34, 0], [1, 33, 30, 555, 90, 1638, 84, 1170, 45, 185, 6, 3], [1, 33, 31, 546, 126, 1554, 210, 1044, 129, 149, 15, 2], [1, 33, 32, 537, 162, 1470, 336, 918, 213, 113, 24, 1], [1, 33, 33, 528, 198, 1386, 462, 792, 297, 77, 33, 0], [1, 34, 22, 582, 42, 1680, 84, 1128, 93, 158, 14, 2], [1, 34, 23, 573, 78, 1596, 210, 1002, 177, 122, 23, 1], [1, 34, 24, 564, 114, 1512, 336, 876, 261, 86, 32, 0], [1, 35, 15, 600, 30, 1638, 210, 960, 225, 95, 31, 0], [2, 11, 181, 21, 1236, 42, 1554, 294, 354, 139, 1, 5], [2, 12, 172, 57, 1152, 168, 1428, 378, 318, 148, 0, 5], [2, 12, 173, 48, 1188, 84, 1554, 252, 402, 112, 9, 4], [2, 12, 174, 39, 1224, 0, 1680, 126, 486, 76, 18, 3], [2, 13, 164, 84, 1104, 210, 1428, 336, 366, 121, 8, 4], [2, 13, 165, 75, 1140, 126, 1554, 210, 450, 85, 17, 3], [2, 13, 166, 66, 1176, 42, 1680, 84, 534, 49, 26, 2], [2, 14, 155, 120, 1020, 336, 1302, 420, 330, 130, 7, 4], [2, 14, 156, 111, 1056, 252, 1428, 294, 414, 94, 16, 3], [2, 14, 157, 102, 1092, 168, 1554, 168, 498, 58, 25, 2], [2, 14, 158, 93, 1128, 84, 1680, 42, 582, 22, 34, 1], [2, 15, 146, 156, 936, 462, 1176, 504, 294, 139, 6, 4], [2, 15, 147, 147, 972, 378, 1302, 378, 378, 103, 15, 3], [2, 15, 148, 138, 1008, 294, 1428, 252, 462, 67, 24, 2], [2, 15, 149, 129, 1044, 210, 1554, 126, 546, 31, 33, 1], [2, 16, 137, 192, 852, 588, 1050, 588, 258, 148, 5, 4], [2, 16, 138, 183, 888, 504, 1176, 462, 342, 112, 14, 3], [2, 16, 139, 174, 924, 420, 1302, 336, 426, 76, 23, 2], [2, 16, 140, 165, 960, 336, 1428, 210, 510, 40, 32, 1], [2, 16, 141, 156, 996, 252, 1554, 84, 594, 4, 41, 0], [2, 17, 128, 228, 768, 714, 924, 672, 222, 157, 4, 4], [2, 17, 129, 219, 804, 630, 1050, 546, 306, 121, 13, 3], [2, 17, 130, 210, 840, 546, 1176, 420, 390, 85, 22, 2], [2, 17, 131, 201, 876, 462, 1302, 294, 474, 49, 31, 1], [2, 17, 132, 192, 912, 378, 1428, 168, 558, 13, 40, 0], [2, 18, 119, 264, 684, 840, 798, 756, 186, 166, 3, 4], [2, 18, 120, 255, 720, 756, 924, 630, 270, 130, 12, 3], [2, 18, 121, 246, 756, 672, 1050, 504, 354, 94, 21, 2], [2, 18, 122, 237, 792, 588, 1176, 378, 438, 58, 30, 1], [2, 18, 123, 228, 828, 504, 1302, 252, 522, 22, 39, 0], [2, 19, 110, 300, 600, 966, 672, 840, 150, 175, 2, 4], [2, 19, 111, 291, 636, 882, 798, 714, 234, 139, 11, 3], [2, 19, 112, 282, 672, 798, 924, 588, 318, 103, 20, 2], [2, 19, 113, 273, 708, 714, 1050, 462, 402, 67, 29, 1], [2, 19, 114, 264, 744, 630, 1176, 336, 486, 31, 38, 0], [2, 20, 101, 336, 516, 1092, 546, 924, 114, 184, 1, 4], [2, 20, 102, 327, 552, 1008, 672, 798, 198, 148, 10, 3], [2, 20, 103, 318, 588, 924, 798, 672, 282, 112, 19, 2], [2, 20, 104, 309, 624, 840, 924, 546, 366, 76, 28, 1], [2, 20, 105, 300, 660, 756, 1050, 420, 450, 40, 37, 0], [2, 21, 92, 372, 432, 1218, 420, 1008, 78, 193, 0, 4], [2, 21, 93, 363, 468, 1134, 546, 882, 162, 157, 9, 3], [2, 21, 94, 354, 504, 1050, 672, 756, 246, 121, 18, 2], [2, 21, 95, 345, 540, 966, 798, 630, 330, 85, 27, 1], [2, 21, 96, 336, 576, 882, 924, 504, 414, 49, 36, 0], [2, 22, 84, 399, 384, 1260, 420, 966, 126, 166, 8, 3], [2, 22, 85, 390, 420, 1176, 546, 840, 210, 130, 17, 2], [2, 22, 86, 381, 456, 1092, 672, 714, 294, 94, 26, 1], [2, 22, 87, 372, 492, 1008, 798, 588, 378, 58, 35, 0], [2, 23, 75, 435, 300, 1386, 294, 1050, 90, 175, 7, 3], [2, 23, 76, 426, 336, 1302, 420, 924, 174, 139, 16, 2], [2, 23, 77, 417, 372, 1218, 546, 798, 258, 103, 25, 1], [2, 23, 78, 408, 408, 1134, 672, 672, 342, 67, 34, 0], [2, 24, 66, 471, 216, 1512, 168, 1134, 54, 184, 6, 3], [2, 24, 67, 462, 252, 1428, 294, 1008, 138, 148, 15, 2], [2, 24, 68, 453, 288, 1344, 420, 882, 222, 112, 24, 1], [2, 24, 69, 444, 324, 1260, 546, 756, 306, 76, 33, 0], [2, 25, 57, 507, 132, 1638, 42, 1218, 18, 193, 5, 3], [2, 25, 58, 498, 168, 1554, 168, 1092, 102, 157, 14, 2], [2, 25, 59, 489, 204, 1470, 294, 966, 186, 121, 23, 1], [2, 25, 60, 480, 240, 1386, 420, 840, 270, 85, 32, 0], [2, 26, 49, 534, 84, 1680, 42, 1176, 66, 166, 13, 2], [2, 26, 50, 525, 120, 1596, 168, 1050, 150, 130, 22, 1], [2, 26, 51, 516, 156, 1512, 294, 924, 234, 94, 31, 0], [2, 27, 41, 561, 36, 1722, 42, 1134, 114, 139, 21, 1], [2, 27, 42, 552, 72, 1638, 168, 1008, 198, 103, 30, 0], [3, 4, 200, 0, 1230, 84, 1512, 300, 375, 120, 8, 4], [3, 5, 191, 36, 1146, 210, 1386, 384, 339, 129, 7, 4], [3, 5, 192, 27, 1182, 126, 1512, 258, 423, 93, 16, 3], [3, 5, 193, 18, 1218, 42, 1638, 132, 507, 57, 25, 2], [3, 6, 182, 72, 1062, 336, 1260, 468, 303, 138, 6, 4], [3, 6, 183, 63, 1098, 252, 1386, 342, 387, 102, 15, 3], [3, 6, 184, 54, 1134, 168, 1512, 216, 471, 66, 24, 2], [3, 6, 185, 45, 1170, 84, 1638, 90, 555, 30, 33, 1], [3, 7, 173, 108, 978, 462, 1134, 552, 267, 147, 5, 4], [3, 7, 174, 99, 1014, 378, 1260, 426, 351, 111, 14, 3], [3, 7, 175, 90, 1050, 294, 1386, 300, 435, 75, 23, 2], [3, 7, 176, 81, 1086, 210, 1512, 174, 519, 39, 32, 1], [3, 7, 177, 72, 1122, 126, 1638, 48, 603, 3, 41, 0], [3, 8, 164, 144, 894, 588, 1008, 636, 231, 156, 4, 4], [3, 8, 165, 135, 930, 504, 1134, 510, 315, 120, 13, 3], [3, 8, 166, 126, 966, 420, 1260, 384, 399, 84, 22, 2], [3, 8, 167, 117, 1002, 336, 1386, 258, 483, 48, 31, 1], [3, 8, 168, 108, 1038, 252, 1512, 132, 567, 12, 40, 0], [3, 9, 155, 180, 810, 714, 882, 720, 195, 165, 3, 4], [3, 9, 156, 171, 846, 630, 1008, 594, 279, 129, 12, 3], [3, 9, 157, 162, 882, 546, 1134, 468, 363, 93, 21, 2], [3, 9, 158, 153, 918, 462, 1260, 342, 447, 57, 30, 1], [3, 9, 159, 144, 954, 378, 1386, 216, 531, 21, 39, 0], [3, 10, 146, 216, 726, 840, 756, 804, 159, 174, 2, 4], [3, 10, 147, 207, 762, 756, 882, 678, 243, 138, 11, 3], [3, 10, 148, 198, 798, 672, 1008, 552, 327, 102, 20, 2], [3, 10, 149, 189, 834, 588, 1134, 426, 411, 66, 29, 1], [3, 10, 150, 180, 870, 504, 1260, 300, 495, 30, 38, 0], [3, 11, 137, 252, 642, 966, 630, 888, 123, 183, 1, 4], [3, 11, 138, 243, 678, 882, 756, 762, 207, 147, 10, 3], [3, 11, 139, 234, 714, 798, 882, 636, 291, 111, 19, 2], [3, 11, 140, 225, 750, 714, 1008, 510, 375, 75, 28, 1], [3, 11, 141, 216, 786, 630, 1134, 384, 459, 39, 37, 0], [3, 12, 128, 288, 558, 1092, 504, 972, 87, 192, 0, 4], [3, 12, 129, 279, 594, 1008, 630, 846, 171, 156, 9, 3], [3, 12, 130, 270, 630, 924, 756, 720, 255, 120, 18, 2], [3, 12, 131, 261, 666, 840, 882, 594, 339, 84, 27, 1], [3, 12, 132, 252, 702, 756, 1008, 468, 423, 48, 36, 0], [3, 13, 120, 315, 510, 1134, 504, 930, 135, 165, 8, 3], [3, 13, 121, 306, 546, 1050, 630, 804, 219, 129, 17, 2], [3, 13, 122, 297, 582, 966, 756, 678, 303, 93, 26, 1], [3, 13, 123, 288, 618, 882, 882, 552, 387, 57, 35, 0], [3, 14, 111, 351, 426, 1260, 378, 1014, 99, 174, 7, 3], [3, 14, 112, 342, 462, 1176, 504, 888, 183, 138, 16, 2], [3, 14, 113, 333, 498, 1092, 630, 762, 267, 102, 25, 1], [3, 14, 114, 324, 534, 1008, 756, 636, 351, 66, 34, 0], [3, 15, 102, 387, 342, 1386, 252, 1098, 63, 183, 6, 3], [3, 15, 103, 378, 378, 1302, 378, 972, 147, 147, 15, 2], [3, 15, 104, 369, 414, 1218, 504, 846, 231, 111, 24, 1], [3, 15, 105, 360, 450, 1134, 630, 720, 315, 75, 33, 0], [3, 16, 93, 423, 258, 1512, 126, 1182, 27, 192, 5, 3], [3, 16, 94, 414, 294, 1428, 252, 1056, 111, 156, 14, 2], [3, 16, 95, 405, 330, 1344, 378, 930, 195, 120, 23, 1], [3, 16, 96, 396, 366, 1260, 504, 804, 279, 84, 32, 0], [3, 17, 85, 450, 210, 1554, 126, 1140, 75, 165, 13, 2], [3, 17, 86, 441, 246, 1470, 252, 1014, 159, 129, 22, 1], [3, 17, 87, 432, 282, 1386, 378, 888, 243, 93, 31, 0], [3, 18, 76, 486, 126, 1680, 0, 1224, 39, 174, 12, 2], [3, 18, 77, 477, 162, 1596, 126, 1098, 123, 138, 21, 1], [3, 18, 78, 468, 198, 1512, 252, 972, 207, 102, 30, 0], [3, 19, 68, 513, 78, 1722, 0, 1182, 87, 147, 20, 1], [3, 19, 69, 504, 114, 1638, 126, 1056, 171, 111, 29, 0], [3, 20, 60, 540, 30, 1764, 0, 1140, 135, 120, 28, 0], [4, 0, 191, 96, 936, 588, 966, 684, 204, 164, 3, 4], [4, 0, 192, 87, 972, 504, 1092, 558, 288, 128, 12, 3], [4, 0, 193, 78, 1008, 420, 1218, 432, 372, 92, 21, 2], [4, 0, 194, 69, 1044, 336, 1344, 306, 456, 56, 30, 1], [4, 0, 195, 60, 1080, 252, 1470, 180, 540, 20, 39, 0], [4, 1, 182, 132, 852, 714, 840, 768, 168, 173, 2, 4], [4, 1, 183, 123, 888, 630, 966, 642, 252, 137, 11, 3], [4, 1, 184, 114, 924, 546, 1092, 516, 336, 101, 20, 2], [4, 1, 185, 105, 960, 462, 1218, 390, 420, 65, 29, 1], [4, 1, 186, 96, 996, 378, 1344, 264, 504, 29, 38, 0], [4, 2, 173, 168, 768, 840, 714, 852, 132, 182, 1, 4], [4, 2, 174, 159, 804, 756, 840, 726, 216, 146, 10, 3], [4, 2, 175, 150, 840, 672, 966, 600, 300, 110, 19, 2], [4, 2, 176, 141, 876, 588, 1092, 474, 384, 74, 28, 1], [4, 2, 177, 132, 912, 504, 1218, 348, 468, 38, 37, 0], [4, 3, 164, 204, 684, 966, 588, 936, 96, 191, 0, 4], [4, 3, 165, 195, 720, 882, 714, 810, 180, 155, 9, 3], [4, 3, 166, 186, 756, 798, 840, 684, 264, 119, 18, 2], [4, 3, 167, 177, 792, 714, 966, 558, 348, 83, 27, 1], [4, 3, 168, 168, 828, 630, 1092, 432, 432, 47, 36, 0], [4, 4, 156, 231, 636, 1008, 588, 894, 144, 164, 8, 3], [4, 4, 157, 222, 672, 924, 714, 768, 228, 128, 17, 2], [4, 4, 158, 213, 708, 840, 840, 642, 312, 92, 26, 1], [4, 4, 159, 204, 744, 756, 966, 516, 396, 56, 35, 0], [4, 5, 147, 267, 552, 1134, 462, 978, 108, 173, 7, 3], [4, 5, 148, 258, 588, 1050, 588, 852, 192, 137, 16, 2], [4, 5, 149, 249, 624, 966, 714, 726, 276, 101, 25, 1], [4, 5, 150, 240, 660, 882, 840, 600, 360, 65, 34, 0], [4, 6, 138, 303, 468, 1260, 336, 1062, 72, 182, 6, 3], [4, 6, 139, 294, 504, 1176, 462, 936, 156, 146, 15, 2], [4, 6, 140, 285, 540, 1092, 588, 810, 240, 110, 24, 1], [4, 6, 141, 276, 576, 1008, 714, 684, 324, 74, 33, 0], [4, 7, 129, 339, 384, 1386, 210, 1146, 36, 191, 5, 3], [4, 7, 130, 330, 420, 1302, 336, 1020, 120, 155, 14, 2], [4, 7, 131, 321, 456, 1218, 462, 894, 204, 119, 23, 1], [4, 7, 132, 312, 492, 1134, 588, 768, 288, 83, 32, 0], [4, 8, 120, 375, 300, 1512, 84, 1230, 0, 200, 4, 3], [4, 8, 121, 366, 336, 1428, 210, 1104, 84, 164, 13, 2], [4, 8, 122, 357, 372, 1344, 336, 978, 168, 128, 22, 1], [4, 8, 123, 348, 408, 1260, 462, 852, 252, 92, 31, 0], [4, 9, 112, 402, 252, 1554, 84, 1188, 48, 173, 12, 2], [4, 9, 113, 393, 288, 1470, 210, 1062, 132, 137, 21, 1], [4, 9, 114, 384, 324, 1386, 336, 936, 216, 101, 30, 0], [4, 10, 104, 429, 204, 1596, 84, 1146, 96, 146, 20, 1], [4, 10, 105, 420, 240, 1512, 210, 1020, 180, 110, 29, 0], [4, 11, 96, 456, 156, 1638, 84, 1104, 144, 119, 28, 0], [5, 0, 148, 318, 378, 1428, 168, 1152, 57, 172, 12, 2], [5, 0, 149, 309, 414, 1344, 294, 1026, 141, 136, 21, 1], [5, 0, 150, 300, 450, 1260, 420, 900, 225, 100, 30, 0], [5, 1, 139, 354, 294, 1554, 42, 1236, 21, 181, 11, 2], [5, 1, 140, 345, 330, 1470, 168, 1110, 105, 145, 20, 1], [5, 1, 141, 336, 366, 1386, 294, 984, 189, 109, 29, 0], [5, 2, 131, 381, 246, 1596, 42, 1194, 69, 154, 19, 1], [5, 2, 132, 372, 282, 1512, 168, 1068, 153, 118, 28, 0], [5, 3, 123, 408, 198, 1638, 42, 1152, 117, 127, 27, 0]}
(12, 3840, 8) has 1162 possible DDs: {[0, 9, 112, 9, 819, 474, 756, 1170, 66, 381, 36, 5, 3], [0, 9, 113, 0, 855, 390, 882, 1044, 150, 345, 45, 4, 3], [0, 9, 113, 1, 846, 426, 798, 1170, 24, 429, 9, 13, 2], [0, 10, 103, 45, 735, 600, 630, 1254, 30, 390, 35, 5, 3], [0, 10, 104, 36, 771, 516, 756, 1128, 114, 354, 44, 4, 3], [0, 10, 105, 27, 807, 432, 882, 1002, 198, 318, 53, 3, 3], [0, 10, 105, 28, 798, 468, 798, 1128, 72, 402, 17, 12, 2], [0, 10, 106, 18, 843, 348, 1008, 876, 282, 282, 62, 2, 3], [0, 10, 106, 19, 834, 384, 924, 1002, 156, 366, 26, 11, 2], [0, 10, 107, 9, 879, 264, 1134, 750, 366, 246, 71, 1, 3], [0, 10, 107, 10, 870, 300, 1050, 876, 240, 330, 35, 10, 2], [0, 10, 108, 0, 915, 180, 1260, 624, 450, 210, 80, 0, 3], [0, 10, 108, 1, 906, 216, 1176, 750, 324, 294, 44, 9, 2], [0, 10, 108, 2, 897, 252, 1092, 876, 198, 378, 8, 18, 1], [0, 11, 95, 72, 687, 642, 630, 1212, 78, 363, 43, 4, 3], [0, 11, 96, 63, 723, 558, 756, 1086, 162, 327, 52, 3, 3], [0, 11, 96, 64, 714, 594, 672, 1212, 36, 411, 16, 12, 2], [0, 11, 97, 54, 759, 474, 882, 960, 246, 291, 61, 2, 3], [0, 11, 97, 55, 750, 510, 798, 1086, 120, 375, 25, 11, 2], [0, 11, 98, 45, 795, 390, 1008, 834, 330, 255, 70, 1, 3], [0, 11, 98, 46, 786, 426, 924, 960, 204, 339, 34, 10, 2], [0, 11, 99, 36, 831, 306, 1134, 708, 414, 219, 79, 0, 3], [0, 11, 99, 37, 822, 342, 1050, 834, 288, 303, 43, 9, 2], [0, 11, 99, 38, 813, 378, 966, 960, 162, 387, 7, 18, 1], [0, 11, 100, 28, 858, 258, 1176, 708, 372, 267, 52, 8, 2], [0, 11, 100, 29, 849, 294, 1092, 834, 246, 351, 16, 17, 1], [0, 11, 101, 19, 894, 174, 1302, 582, 456, 231, 61, 7, 2], [0, 11, 101, 20, 885, 210, 1218, 708, 330, 315, 25, 16, 1], [0, 11, 102, 10, 930, 90, 1428, 456, 540, 195, 70, 6, 2], [0, 11, 102, 11, 921, 126, 1344, 582, 414, 279, 34, 15, 1], [0, 11, 103, 1, 966, 6, 1554, 330, 624, 159, 79, 5, 2], [0, 11, 103, 2, 957, 42, 1470, 456, 498, 243, 43, 14, 1], [0, 11, 103, 3, 948, 78, 1386, 582, 372, 327, 7, 23, 0], [0, 12, 86, 108, 603, 768, 504, 1296, 42, 372, 42, 4, 3], [0, 12, 87, 99, 639, 684, 630, 1170, 126, 336, 51, 3, 3], [0, 12, 87, 100, 630, 720, 546, 1296, 0, 420, 15, 12, 2], [0, 12, 88, 90, 675, 600, 756, 1044, 210, 300, 60, 2, 3], [0, 12, 88, 91, 666, 636, 672, 1170, 84, 384, 24, 11, 2], [0, 12, 89, 81, 711, 516, 882, 918, 294, 264, 69, 1, 3], [0, 12, 89, 82, 702, 552, 798, 1044, 168, 348, 33, 10, 2], [0, 12, 90, 72, 747, 432, 1008, 792, 378, 228, 78, 0, 3], [0, 12, 90, 73, 738, 468, 924, 918, 252, 312, 42, 9, 2], [0, 12, 90, 74, 729, 504, 840, 1044, 126, 396, 6, 18, 1], [0, 12, 91, 64, 774, 384, 1050, 792, 336, 276, 51, 8, 2], [0, 12, 91, 65, 765, 420, 966, 918, 210, 360, 15, 17, 1], [0, 12, 92, 55, 810, 300, 1176, 666, 420, 240, 60, 7, 2], [0, 12, 92, 56, 801, 336, 1092, 792, 294, 324, 24, 16, 1], [0, 12, 93, 46, 846, 216, 1302, 540, 504, 204, 69, 6, 2], [0, 12, 93, 47, 837, 252, 1218, 666, 378, 288, 33, 15, 1], [0, 12, 94, 37, 882, 132, 1428, 414, 588, 168, 78, 5, 2], [0, 12, 94, 38, 873, 168, 1344, 540, 462, 252, 42, 14, 1], [0, 12, 94, 39, 864, 204, 1260, 666, 336, 336, 6, 23, 0], [0, 12, 95, 28, 918, 48, 1554, 288, 672, 132, 87, 4, 2], [0, 12, 95, 29, 909, 84, 1470, 414, 546, 216, 51, 13, 1], [0, 12, 95, 30, 900, 120, 1386, 540, 420, 300, 15, 22, 0], [0, 12, 96, 20, 945, 0, 1596, 288, 630, 180, 60, 12, 1], [0, 12, 96, 21, 936, 36, 1512, 414, 504, 264, 24, 21, 0], [0, 13, 77, 144, 519, 894, 378, 1380, 6, 381, 41, 4, 3], [0, 13, 78, 135, 555, 810, 504, 1254, 90, 345, 50, 3, 3], [0, 13, 79, 126, 591, 726, 630, 1128, 174, 309, 59, 2, 3], [0, 13, 79, 127, 582, 762, 546, 1254, 48, 393, 23, 11, 2], [0, 13, 80, 117, 627, 642, 756, 1002, 258, 273, 68, 1, 3], [0, 13, 80, 118, 618, 678, 672, 1128, 132, 357, 32, 10, 2], [0, 13, 81, 108, 663, 558, 882, 876, 342, 237, 77, 0, 3], [0, 13, 81, 109, 654, 594, 798, 1002, 216, 321, 41, 9, 2], [0, 13, 81, 110, 645, 630, 714, 1128, 90, 405, 5, 18, 1], [0, 13, 82, 100, 690, 510, 924, 876, 300, 285, 50, 8, 2], [0, 13, 82, 101, 681, 546, 840, 1002, 174, 369, 14, 17, 1], [0, 13, 83, 91, 726, 426, 1050, 750, 384, 249, 59, 7, 2], [0, 13, 83, 92, 717, 462, 966, 876, 258, 333, 23, 16, 1], [0, 13, 84, 82, 762, 342, 1176, 624, 468, 213, 68, 6, 2], [0, 13, 84, 83, 753, 378, 1092, 750, 342, 297, 32, 15, 1], [0, 13, 85, 73, 798, 258, 1302, 498, 552, 177, 77, 5, 2], [0, 13, 85, 74, 789, 294, 1218, 624, 426, 261, 41, 14, 1], [0, 13, 85, 75, 780, 330, 1134, 750, 300, 345, 5, 23, 0], [0, 13, 86, 64, 834, 174, 1428, 372, 636, 141, 86, 4, 2], [0, 13, 86, 65, 825, 210, 1344, 498, 510, 225, 50, 13, 1], [0, 13, 86, 66, 816, 246, 1260, 624, 384, 309, 14, 22, 0], [0, 13, 87, 55, 870, 90, 1554, 246, 720, 105, 95, 3, 2], [0, 13, 87, 56, 861, 126, 1470, 372, 594, 189, 59, 12, 1], [0, 13, 87, 57, 852, 162, 1386, 498, 468, 273, 23, 21, 0], [0, 13, 88, 46, 906, 6, 1680, 120, 804, 69, 104, 2, 2], [0, 13, 88, 47, 897, 42, 1596, 246, 678, 153, 68, 11, 1], [0, 13, 88, 48, 888, 78, 1512, 372, 552, 237, 32, 20, 0], [0, 14, 69, 171, 471, 936, 378, 1338, 54, 354, 49, 3, 3], [0, 14, 70, 162, 507, 852, 504, 1212, 138, 318, 58, 2, 3], [0, 14, 70, 163, 498, 888, 420, 1338, 12, 402, 22, 11, 2], [0, 14, 71, 153, 543, 768, 630, 1086, 222, 282, 67, 1, 3], [0, 14, 71, 154, 534, 804, 546, 1212, 96, 366, 31, 10, 2], [0, 14, 72, 144, 579, 684, 756, 960, 306, 246, 76, 0, 3], [0, 14, 72, 145, 570, 720, 672, 1086, 180, 330, 40, 9, 2], [0, 14, 72, 146, 561, 756, 588, 1212, 54, 414, 4, 18, 1], [0, 14, 73, 136, 606, 636, 798, 960, 264, 294, 49, 8, 2], [0, 14, 73, 137, 597, 672, 714, 1086, 138, 378, 13, 17, 1], [0, 14, 74, 127, 642, 552, 924, 834, 348, 258, 58, 7, 2], [0, 14, 74, 128, 633, 588, 840, 960, 222, 342, 22, 16, 1], [0, 14, 75, 118, 678, 468, 1050, 708, 432, 222, 67, 6, 2], [0, 14, 75, 119, 669, 504, 966, 834, 306, 306, 31, 15, 1], [0, 14, 76, 109, 714, 384, 1176, 582, 516, 186, 76, 5, 2], [0, 14, 76, 110, 705, 420, 1092, 708, 390, 270, 40, 14, 1], [0, 14, 76, 111, 696, 456, 1008, 834, 264, 354, 4, 23, 0], [0, 14, 77, 100, 750, 300, 1302, 456, 600, 150, 85, 4, 2], [0, 14, 77, 101, 741, 336, 1218, 582, 474, 234, 49, 13, 1], [0, 14, 77, 102, 732, 372, 1134, 708, 348, 318, 13, 22, 0], [0, 14, 78, 91, 786, 216, 1428, 330, 684, 114, 94, 3, 2], [0, 14, 78, 92, 777, 252, 1344, 456, 558, 198, 58, 12, 1], [0, 14, 78, 93, 768, 288, 1260, 582, 432, 282, 22, 21, 0], [0, 14, 79, 82, 822, 132, 1554, 204, 768, 78, 103, 2, 2], [0, 14, 79, 83, 813, 168, 1470, 330, 642, 162, 67, 11, 1], [0, 14, 79, 84, 804, 204, 1386, 456, 516, 246, 31, 20, 0], [0, 14, 80, 73, 858, 48, 1680, 78, 852, 42, 112, 1, 2], [0, 14, 80, 74, 849, 84, 1596, 204, 726, 126, 76, 10, 1], [0, 14, 80, 75, 840, 120, 1512, 330, 600, 210, 40, 19, 0], [0, 14, 81, 65, 885, 0, 1722, 78, 810, 90, 85, 9, 1], [0, 14, 81, 66, 876, 36, 1638, 204, 684, 174, 49, 18, 0], [0, 15, 60, 207, 387, 1062, 252, 1422, 18, 363, 48, 3, 3], [0, 15, 61, 198, 423, 978, 378, 1296, 102, 327, 57, 2, 3], [0, 15, 62, 189, 459, 894, 504, 1170, 186, 291, 66, 1, 3], [0, 15, 62, 190, 450, 930, 420, 1296, 60, 375, 30, 10, 2], [0, 15, 63, 180, 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2, 2], [3, 1, 62, 325, 60, 1434, 168, 1146, 375, 165, 98, 1, 2], [3, 1, 62, 326, 51, 1470, 84, 1272, 249, 249, 62, 10, 1], [3, 1, 62, 327, 42, 1506, 0, 1398, 123, 333, 26, 19, 0], [3, 1, 63, 316, 96, 1350, 294, 1020, 459, 129, 107, 0, 2], [3, 1, 63, 317, 87, 1386, 210, 1146, 333, 213, 71, 9, 1], [3, 1, 63, 318, 78, 1422, 126, 1272, 207, 297, 35, 18, 0], [3, 1, 64, 308, 123, 1302, 336, 1020, 417, 177, 80, 8, 1], [3, 1, 64, 309, 114, 1338, 252, 1146, 291, 261, 44, 17, 0], [3, 1, 65, 299, 159, 1218, 462, 894, 501, 141, 89, 7, 1], [3, 1, 65, 300, 150, 1254, 378, 1020, 375, 225, 53, 16, 0], [3, 1, 66, 290, 195, 1134, 588, 768, 585, 105, 98, 6, 1], [3, 1, 66, 291, 186, 1170, 504, 894, 459, 189, 62, 15, 0], [3, 1, 67, 281, 231, 1050, 714, 642, 669, 69, 107, 5, 1], [3, 1, 67, 282, 222, 1086, 630, 768, 543, 153, 71, 14, 0], [3, 1, 68, 272, 267, 966, 840, 516, 753, 33, 116, 4, 1], [3, 1, 68, 273, 258, 1002, 756, 642, 627, 117, 80, 13, 0], [3, 1, 69, 264, 294, 918, 882, 516, 711, 81, 89, 12, 0], [3, 1, 70, 255, 330, 834, 1008, 390, 795, 45, 98, 11, 0], [3, 1, 71, 246, 366, 750, 1134, 264, 879, 9, 107, 10, 0], [3, 2, 54, 352, 12, 1476, 168, 1104, 423, 138, 106, 0, 2], [3, 2, 54, 353, 3, 1512, 84, 1230, 297, 222, 70, 9, 1], [3, 2, 55, 344, 39, 1428, 210, 1104, 381, 186, 79, 8, 1], [3, 2, 55, 345, 30, 1464, 126, 1230, 255, 270, 43, 17, 0], [3, 2, 56, 335, 75, 1344, 336, 978, 465, 150, 88, 7, 1], [3, 2, 56, 336, 66, 1380, 252, 1104, 339, 234, 52, 16, 0], [3, 2, 57, 326, 111, 1260, 462, 852, 549, 114, 97, 6, 1], [3, 2, 57, 327, 102, 1296, 378, 978, 423, 198, 61, 15, 0], [3, 2, 58, 317, 147, 1176, 588, 726, 633, 78, 106, 5, 1], [3, 2, 58, 318, 138, 1212, 504, 852, 507, 162, 70, 14, 0], [3, 2, 59, 308, 183, 1092, 714, 600, 717, 42, 115, 4, 1], [3, 2, 59, 309, 174, 1128, 630, 726, 591, 126, 79, 13, 0], [3, 2, 60, 299, 219, 1008, 840, 474, 801, 6, 124, 3, 1], [3, 2, 60, 300, 210, 1044, 756, 600, 675, 90, 88, 12, 0], [3, 2, 61, 291, 246, 960, 882, 474, 759, 54, 97, 11, 0], [3, 2, 62, 282, 282, 876, 1008, 348, 843, 18, 106, 10, 0], [3, 3, 48, 362, 27, 1386, 336, 936, 513, 123, 96, 6, 1], [3, 3, 48, 363, 18, 1422, 252, 1062, 387, 207, 60, 15, 0], [3, 3, 49, 353, 63, 1302, 462, 810, 597, 87, 105, 5, 1], [3, 3, 49, 354, 54, 1338, 378, 936, 471, 171, 69, 14, 0], [3, 3, 50, 344, 99, 1218, 588, 684, 681, 51, 114, 4, 1], [3, 3, 50, 345, 90, 1254, 504, 810, 555, 135, 78, 13, 0], [3, 3, 51, 335, 135, 1134, 714, 558, 765, 15, 123, 3, 1], [3, 3, 51, 336, 126, 1170, 630, 684, 639, 99, 87, 12, 0], [3, 3, 52, 327, 162, 1086, 756, 558, 723, 63, 96, 11, 0], [3, 3, 53, 318, 198, 1002, 882, 432, 807, 27, 105, 10, 0], [3, 4, 41, 380, 15, 1344, 462, 768, 645, 60, 113, 4, 1], [3, 4, 41, 381, 6, 1380, 378, 894, 519, 144, 77, 13, 0], [3, 4, 42, 371, 51, 1260, 588, 642, 729, 24, 122, 3, 1], [3, 4, 42, 372, 42, 1296, 504, 768, 603, 108, 86, 12, 0], [3, 4, 43, 363, 78, 1212, 630, 642, 687, 72, 95, 11, 0], [3, 4, 44, 354, 114, 1128, 756, 516, 771, 36, 104, 10, 0], [3, 4, 45, 345, 150, 1044, 882, 390, 855, 0, 113, 9, 0], [3, 5, 35, 390, 30, 1254, 630, 600, 735, 45, 103, 10, 0], [3, 5, 36, 381, 66, 1170, 756, 474, 819, 9, 112, 9, 0]}
(13, 3840, 8) has 4080 possible DDs: {[0, 0, 86, 24, 336, 1011, 36, 1404, 528, 114, 294, 4, 0, 3], [0, 0, 87, 15, 372, 927, 162, 1278, 612, 78, 303, 3, 0, 3], [0, 0, 88, 6, 408, 843, 288, 1152, 696, 42, 312, 2, 0, 3], [0, 0, 89, 1, 409, 894, 114, 1446, 402, 216, 261, 1, 5, 2], [0, 0, 89, 2, 400, 930, 30, 1572, 276, 300, 225, 10, 4, 2], [0, 1, 78, 51, 288, 1053, 36, 1362, 576, 87, 302, 3, 0, 3], [0, 1, 79, 42, 324, 969, 162, 1236, 660, 51, 311, 2, 0, 3], [0, 1, 80, 33, 360, 885, 288, 1110, 744, 15, 320, 1, 0, 3], [0, 1, 81, 28, 361, 936, 114, 1404, 450, 189, 269, 0, 5, 2], [0, 1, 81, 29, 352, 972, 30, 1530, 324, 273, 233, 9, 4, 2], [0, 1, 82, 20, 388, 888, 156, 1404, 408, 237, 242, 8, 4, 2], [0, 1, 82, 21, 379, 924, 72, 1530, 282, 321, 206, 17, 3, 2], [0, 1, 83, 11, 424, 804, 282, 1278, 492, 201, 251, 7, 4, 2], [0, 1, 83, 12, 415, 840, 198, 1404, 366, 285, 215, 16, 3, 2], [0, 1, 83, 13, 406, 876, 114, 1530, 240, 369, 179, 25, 2, 2], [0, 1, 83, 14, 397, 912, 30, 1656, 114, 453, 143, 34, 1, 2], [0, 1, 84, 2, 460, 720, 408, 1152, 576, 165, 260, 6, 4, 2], [0, 1, 84, 3, 451, 756, 324, 1278, 450, 249, 224, 15, 3, 2], [0, 1, 84, 4, 442, 792, 240, 1404, 324, 333, 188, 24, 2, 2], [0, 1, 84, 5, 433, 828, 156, 1530, 198, 417, 152, 33, 1, 2], [0, 1, 84, 6, 424, 864, 72, 1656, 72, 501, 116, 42, 0, 2], [0, 1, 84, 6, 425, 855, 108, 1572, 198, 375, 200, 6, 9, 1], [0, 1, 84, 7, 416, 891, 24, 1698, 72, 459, 164, 15, 8, 1], [0, 2, 70, 78, 240, 1095, 36, 1320, 624, 60, 310, 2, 0, 3], [0, 2, 71, 69, 276, 1011, 162, 1194, 708, 24, 319, 1, 0, 3], [0, 2, 73, 56, 304, 1014, 30, 1488, 372, 246, 241, 8, 4, 2], [0, 2, 74, 47, 340, 930, 156, 1362, 456, 210, 250, 7, 4, 2], [0, 2, 74, 48, 331, 966, 72, 1488, 330, 294, 214, 16, 3, 2], [0, 2, 75, 38, 376, 846, 282, 1236, 540, 174, 259, 6, 4, 2], [0, 2, 75, 39, 367, 882, 198, 1362, 414, 258, 223, 15, 3, 2], [0, 2, 75, 40, 358, 918, 114, 1488, 288, 342, 187, 24, 2, 2], [0, 2, 75, 41, 349, 954, 30, 1614, 162, 426, 151, 33, 1, 2], [0, 2, 76, 29, 412, 762, 408, 1110, 624, 138, 268, 5, 4, 2], [0, 2, 76, 30, 403, 798, 324, 1236, 498, 222, 232, 14, 3, 2], [0, 2, 76, 31, 394, 834, 240, 1362, 372, 306, 196, 23, 2, 2], [0, 2, 76, 32, 385, 870, 156, 1488, 246, 390, 160, 32, 1, 2], [0, 2, 76, 33, 376, 906, 72, 1614, 120, 474, 124, 41, 0, 2], [0, 2, 76, 33, 377, 897, 108, 1530, 246, 348, 208, 5, 9, 1], [0, 2, 76, 34, 368, 933, 24, 1656, 120, 432, 172, 14, 8, 1], [0, 2, 77, 20, 448, 678, 534, 984, 708, 102, 277, 4, 4, 2], [0, 2, 77, 21, 439, 714, 450, 1110, 582, 186, 241, 13, 3, 2], [0, 2, 77, 22, 430, 750, 366, 1236, 456, 270, 205, 22, 2, 2], [0, 2, 77, 23, 421, 786, 282, 1362, 330, 354, 169, 31, 1, 2], [0, 2, 77, 24, 412, 822, 198, 1488, 204, 438, 133, 40, 0, 2], [0, 2, 77, 24, 413, 813, 234, 1404, 330, 312, 217, 4, 9, 1], [0, 2, 77, 25, 404, 849, 150, 1530, 204, 396, 181, 13, 8, 1], [0, 2, 77, 26, 395, 885, 66, 1656, 78, 480, 145, 22, 7, 1], [0, 2, 78, 11, 484, 594, 660, 858, 792, 66, 286, 3, 4, 2], [0, 2, 78, 12, 475, 630, 576, 984, 666, 150, 250, 12, 3, 2], [0, 2, 78, 13, 466, 666, 492, 1110, 540, 234, 214, 21, 2, 2], [0, 2, 78, 14, 457, 702, 408, 1236, 414, 318, 178, 30, 1, 2], [0, 2, 78, 15, 448, 738, 324, 1362, 288, 402, 142, 39, 0, 2], [0, 2, 78, 15, 449, 729, 360, 1278, 414, 276, 226, 3, 9, 1], [0, 2, 78, 16, 440, 765, 276, 1404, 288, 360, 190, 12, 8, 1], [0, 2, 78, 17, 431, 801, 192, 1530, 162, 444, 154, 21, 7, 1], [0, 2, 78, 18, 422, 837, 108, 1656, 36, 528, 118, 30, 6, 1], [0, 2, 78, 19, 414, 864, 60, 1698, 36, 486, 166, 3, 14, 0], [0, 2, 79, 2, 520, 510, 786, 732, 876, 30, 295, 2, 4, 2], [0, 2, 79, 3, 511, 546, 702, 858, 750, 114, 259, 11, 3, 2], [0, 2, 79, 4, 502, 582, 618, 984, 624, 198, 223, 20, 2, 2], [0, 2, 79, 5, 493, 618, 534, 1110, 498, 282, 187, 29, 1, 2], [0, 2, 79, 6, 484, 654, 450, 1236, 372, 366, 151, 38, 0, 2], [0, 2, 79, 6, 485, 645, 486, 1152, 498, 240, 235, 2, 9, 1], [0, 2, 79, 7, 476, 681, 402, 1278, 372, 324, 199, 11, 8, 1], [0, 2, 79, 8, 467, 717, 318, 1404, 246, 408, 163, 20, 7, 1], [0, 2, 79, 9, 458, 753, 234, 1530, 120, 492, 127, 29, 6, 1], [0, 2, 79, 10, 450, 780, 186, 1572, 120, 450, 175, 2, 14, 0], [0, 2, 80, 0, 494, 669, 360, 1404, 204, 456, 136, 28, 6, 1], [0, 2, 80, 1, 485, 705, 276, 1530, 78, 540, 100, 37, 5, 1], [0, 2, 80, 1, 486, 696, 312, 1446, 204, 414, 184, 1, 14, 0], [0, 2, 80, 2, 477, 732, 228, 1572, 78, 498, 148, 10, 13, 0], [0, 3, 62, 105, 192, 1137, 36, 1278, 672, 33, 318, 1, 0, 3], [0, 3, 65, 83, 256, 1056, 30, 1446, 420, 219, 249, 7, 4, 2], [0, 3, 66, 74, 292, 972, 156, 1320, 504, 183, 258, 6, 4, 2], [0, 3, 66, 75, 283, 1008, 72, 1446, 378, 267, 222, 15, 3, 2], [0, 3, 67, 65, 328, 888, 282, 1194, 588, 147, 267, 5, 4, 2], [0, 3, 67, 66, 319, 924, 198, 1320, 462, 231, 231, 14, 3, 2], [0, 3, 67, 67, 310, 960, 114, 1446, 336, 315, 195, 23, 2, 2], [0, 3, 67, 68, 301, 996, 30, 1572, 210, 399, 159, 32, 1, 2], [0, 3, 68, 56, 364, 804, 408, 1068, 672, 111, 276, 4, 4, 2], [0, 3, 68, 57, 355, 840, 324, 1194, 546, 195, 240, 13, 3, 2], [0, 3, 68, 58, 346, 876, 240, 1320, 420, 279, 204, 22, 2, 2], [0, 3, 68, 59, 337, 912, 156, 1446, 294, 363, 168, 31, 1, 2], [0, 3, 68, 60, 328, 948, 72, 1572, 168, 447, 132, 40, 0, 2], [0, 3, 68, 60, 329, 939, 108, 1488, 294, 321, 216, 4, 9, 1], [0, 3, 68, 61, 320, 975, 24, 1614, 168, 405, 180, 13, 8, 1], [0, 3, 69, 47, 400, 720, 534, 942, 756, 75, 285, 3, 4, 2], [0, 3, 69, 48, 391, 756, 450, 1068, 630, 159, 249, 12, 3, 2], [0, 3, 69, 49, 382, 792, 366, 1194, 504, 243, 213, 21, 2, 2], [0, 3, 69, 50, 373, 828, 282, 1320, 378, 327, 177, 30, 1, 2], [0, 3, 69, 51, 364, 864, 198, 1446, 252, 411, 141, 39, 0, 2], [0, 3, 69, 51, 365, 855, 234, 1362, 378, 285, 225, 3, 9, 1], [0, 3, 69, 52, 356, 891, 150, 1488, 252, 369, 189, 12, 8, 1], [0, 3, 69, 53, 347, 927, 66, 1614, 126, 453, 153, 21, 7, 1], [0, 3, 70, 38, 436, 636, 660, 816, 840, 39, 294, 2, 4, 2], [0, 3, 70, 39, 427, 672, 576, 942, 714, 123, 258, 11, 3, 2], [0, 3, 70, 40, 418, 708, 492, 1068, 588, 207, 222, 20, 2, 2], [0, 3, 70, 41, 409, 744, 408, 1194, 462, 291, 186, 29, 1, 2], [0, 3, 70, 42, 400, 780, 324, 1320, 336, 375, 150, 38, 0, 2], [0, 3, 70, 42, 401, 771, 360, 1236, 462, 249, 234, 2, 9, 1], [0, 3, 70, 43, 392, 807, 276, 1362, 336, 333, 198, 11, 8, 1], [0, 3, 70, 44, 383, 843, 192, 1488, 210, 417, 162, 20, 7, 1], [0, 3, 70, 45, 374, 879, 108, 1614, 84, 501, 126, 29, 6, 1], [0, 3, 70, 46, 366, 906, 60, 1656, 84, 459, 174, 2, 14, 0], [0, 3, 71, 29, 472, 552, 786, 690, 924, 3, 303, 1, 4, 2], [0, 3, 71, 30, 463, 588, 702, 816, 798, 87, 267, 10, 3, 2], [0, 3, 71, 31, 454, 624, 618, 942, 672, 171, 231, 19, 2, 2], [0, 3, 71, 32, 445, 660, 534, 1068, 546, 255, 195, 28, 1, 2], [0, 3, 71, 33, 436, 696, 450, 1194, 420, 339, 159, 37, 0, 2], [0, 3, 71, 33, 437, 687, 486, 1110, 546, 213, 243, 1, 9, 1], [0, 3, 71, 34, 428, 723, 402, 1236, 420, 297, 207, 10, 8, 1], [0, 3, 71, 35, 419, 759, 318, 1362, 294, 381, 171, 19, 7, 1], [0, 3, 71, 36, 410, 795, 234, 1488, 168, 465, 135, 28, 6, 1], [0, 3, 71, 37, 401, 831, 150, 1614, 42, 549, 99, 37, 5, 1], [0, 3, 71, 37, 402, 822, 186, 1530, 168, 423, 183, 1, 14, 0], [0, 3, 71, 38, 393, 858, 102, 1656, 42, 507, 147, 10, 13, 0], [0, 3, 72, 21, 499, 504, 828, 690, 882, 51, 276, 9, 3, 2], [0, 3, 72, 22, 490, 540, 744, 816, 756, 135, 240, 18, 2, 2], [0, 3, 72, 23, 481, 576, 660, 942, 630, 219, 204, 27, 1, 2], [0, 3, 72, 24, 472, 612, 576, 1068, 504, 303, 168, 36, 0, 2], [0, 3, 72, 24, 473, 603, 612, 984, 630, 177, 252, 0, 9, 1], [0, 3, 72, 25, 464, 639, 528, 1110, 504, 261, 216, 9, 8, 1], [0, 3, 72, 26, 455, 675, 444, 1236, 378, 345, 180, 18, 7, 1], [0, 3, 72, 27, 446, 711, 360, 1362, 252, 429, 144, 27, 6, 1], [0, 3, 72, 28, 437, 747, 276, 1488, 126, 513, 108, 36, 5, 1], [0, 3, 72, 28, 438, 738, 312, 1404, 252, 387, 192, 0, 14, 0], [0, 3, 72, 29, 428, 783, 192, 1614, 0, 597, 72, 45, 4, 1], [0, 3, 72, 29, 429, 774, 228, 1530, 126, 471, 156, 9, 13, 0], [0, 3, 72, 30, 420, 810, 144, 1656, 0, 555, 120, 18, 12, 0], [0, 3, 73, 12, 535, 420, 954, 564, 966, 15, 285, 8, 3, 2], [0, 3, 73, 13, 526, 456, 870, 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