-------
(13, 2816, 8) ALL distance distributions for INTERNAL point
(8, 2816, 8) has 1 possible DDs: {[11, 88, 308, 616, 770, 616, 308, 88, 11]}
(9, 2816, 8) has 11 possible DDs: {[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 33 possible DDs: {[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 97 possible DDs: {[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 223 possible DDs: {[1, 1, 89, 32, 492, 534, 378, 948, 33, 273, 29, 4, 2], [1, 1, 90, 23, 528, 450, 504, 822, 117, 237, 38, 3, 2], [1, 1, 91, 14, 564, 366, 630, 696, 201, 201, 47, 2, 2], [1, 1, 91, 15, 555, 402, 546, 822, 75, 285, 11, 11, 1], [1, 1, 92, 5, 600, 282, 756, 570, 285, 165, 56, 1, 2], [1, 1, 92, 6, 591, 318, 672, 696, 159, 249, 20, 10, 1], [1, 2, 81, 59, 444, 576, 378, 906, 81, 246, 37, 3, 2], [1, 2, 82, 50, 480, 492, 504, 780, 165, 210, 46, 2, 2], [1, 2, 82, 51, 471, 528, 420, 906, 39, 294, 10, 11, 1], [1, 2, 83, 41, 516, 408, 630, 654, 249, 174, 55, 1, 2], [1, 2, 83, 42, 507, 444, 546, 780, 123, 258, 19, 10, 1], [1, 2, 84, 32, 552, 324, 756, 528, 333, 138, 64, 0, 2], [1, 2, 84, 33, 543, 360, 672, 654, 207, 222, 28, 9, 1], [1, 2, 85, 24, 579, 276, 798, 528, 291, 186, 37, 8, 1], [1, 2, 85, 25, 570, 312, 714, 654, 165, 270, 1, 17, 0], [1, 2, 86, 15, 615, 192, 924, 402, 375, 150, 46, 7, 1], [1, 2, 86, 16, 606, 228, 840, 528, 249, 234, 10, 16, 0], [1, 2, 87, 6, 651, 108, 1050, 276, 459, 114, 55, 6, 1], [1, 2, 87, 7, 642, 144, 966, 402, 333, 198, 19, 15, 0], [1, 3, 72, 95, 360, 702, 252, 990, 45, 255, 36, 3, 2], [1, 3, 73, 86, 396, 618, 378, 864, 129, 219, 45, 2, 2], [1, 3, 73, 87, 387, 654, 294, 990, 3, 303, 9, 11, 1], [1, 3, 74, 77, 432, 534, 504, 738, 213, 183, 54, 1, 2], [1, 3, 74, 78, 423, 570, 420, 864, 87, 267, 18, 10, 1], [1, 3, 75, 68, 468, 450, 630, 612, 297, 147, 63, 0, 2], [1, 3, 75, 69, 459, 486, 546, 738, 171, 231, 27, 9, 1], [1, 3, 76, 60, 495, 402, 672, 612, 255, 195, 36, 8, 1], [1, 3, 76, 61, 486, 438, 588, 738, 129, 279, 0, 17, 0], [1, 3, 77, 51, 531, 318, 798, 486, 339, 159, 45, 7, 1], [1, 3, 77, 52, 522, 354, 714, 612, 213, 243, 9, 16, 0], [1, 3, 78, 42, 567, 234, 924, 360, 423, 123, 54, 6, 1], [1, 3, 78, 43, 558, 270, 840, 486, 297, 207, 18, 15, 0], [1, 3, 79, 33, 603, 150, 1050, 234, 507, 87, 63, 5, 1], [1, 3, 79, 34, 594, 186, 966, 360, 381, 171, 27, 14, 0], [1, 3, 80, 24, 639, 66, 1176, 108, 591, 51, 72, 4, 1], [1, 3, 80, 25, 630, 102, 1092, 234, 465, 135, 36, 13, 0], [1, 3, 81, 16, 666, 18, 1218, 108, 549, 99, 45, 12, 0], [1, 4, 63, 131, 276, 828, 126, 1074, 9, 264, 35, 3, 2], [1, 4, 64, 122, 312, 744, 252, 948, 93, 228, 44, 2, 2], [1, 4, 65, 113, 348, 660, 378, 822, 177, 192, 53, 1, 2], [1, 4, 65, 114, 339, 696, 294, 948, 51, 276, 17, 10, 1], [1, 4, 66, 104, 384, 576, 504, 696, 261, 156, 62, 0, 2], [1, 4, 66, 105, 375, 612, 420, 822, 135, 240, 26, 9, 1], [1, 4, 67, 96, 411, 528, 546, 696, 219, 204, 35, 8, 1], [1, 4, 68, 87, 447, 444, 672, 570, 303, 168, 44, 7, 1], [1, 4, 68, 88, 438, 480, 588, 696, 177, 252, 8, 16, 0], [1, 4, 69, 78, 483, 360, 798, 444, 387, 132, 53, 6, 1], [1, 4, 69, 79, 474, 396, 714, 570, 261, 216, 17, 15, 0], [1, 4, 70, 69, 519, 276, 924, 318, 471, 96, 62, 5, 1], [1, 4, 70, 70, 510, 312, 840, 444, 345, 180, 26, 14, 0], [1, 4, 71, 60, 555, 192, 1050, 192, 555, 60, 71, 4, 1], [1, 4, 71, 61, 546, 228, 966, 318, 429, 144, 35, 13, 0], [1, 4, 72, 51, 591, 108, 1176, 66, 639, 24, 80, 3, 1], [1, 4, 72, 52, 582, 144, 1092, 192, 513, 108, 44, 12, 0], [1, 4, 73, 43, 618, 60, 1218, 66, 597, 72, 53, 11, 0], [1, 5, 55, 158, 228, 870, 126, 1032, 57, 237, 43, 2, 2], [1, 5, 56, 149, 264, 786, 252, 906, 141, 201, 52, 1, 2], [1, 5, 56, 150, 255, 822, 168, 1032, 15, 285, 16, 10, 1], [1, 5, 57, 140, 300, 702, 378, 780, 225, 165, 61, 0, 2], [1, 5, 57, 141, 291, 738, 294, 906, 99, 249, 25, 9, 1], [1, 5, 58, 132, 327, 654, 420, 780, 183, 213, 34, 8, 1], [1, 5, 59, 123, 363, 570, 546, 654, 267, 177, 43, 7, 1], [1, 5, 59, 124, 354, 606, 462, 780, 141, 261, 7, 16, 0], [1, 5, 60, 114, 399, 486, 672, 528, 351, 141, 52, 6, 1], [1, 5, 60, 115, 390, 522, 588, 654, 225, 225, 16, 15, 0], [1, 5, 61, 105, 435, 402, 798, 402, 435, 105, 61, 5, 1], [1, 5, 61, 106, 426, 438, 714, 528, 309, 189, 25, 14, 0], [1, 5, 62, 96, 471, 318, 924, 276, 519, 69, 70, 4, 1], [1, 5, 62, 97, 462, 354, 840, 402, 393, 153, 34, 13, 0], [1, 5, 63, 87, 507, 234, 1050, 150, 603, 33, 79, 3, 1], [1, 5, 63, 88, 498, 270, 966, 276, 477, 117, 43, 12, 0], [1, 5, 64, 79, 534, 186, 1092, 150, 561, 81, 52, 11, 0], [1, 5, 65, 70, 570, 102, 1218, 24, 645, 45, 61, 10, 0], [1, 6, 46, 194, 144, 996, 0, 1116, 21, 246, 42, 2, 2], [1, 6, 47, 185, 180, 912, 126, 990, 105, 210, 51, 1, 2], [1, 6, 48, 176, 216, 828, 252, 864, 189, 174, 60, 0, 2], [1, 6, 48, 177, 207, 864, 168, 990, 63, 258, 24, 9, 1], [1, 6, 49, 168, 243, 780, 294, 864, 147, 222, 33, 8, 1], [1, 6, 50, 159, 279, 696, 420, 738, 231, 186, 42, 7, 1], [1, 6, 50, 160, 270, 732, 336, 864, 105, 270, 6, 16, 0], [1, 6, 51, 150, 315, 612, 546, 612, 315, 150, 51, 6, 1], [1, 6, 51, 151, 306, 648, 462, 738, 189, 234, 15, 15, 0], [1, 6, 52, 141, 351, 528, 672, 486, 399, 114, 60, 5, 1], [1, 6, 52, 142, 342, 564, 588, 612, 273, 198, 24, 14, 0], [1, 6, 53, 132, 387, 444, 798, 360, 483, 78, 69, 4, 1], [1, 6, 53, 133, 378, 480, 714, 486, 357, 162, 33, 13, 0], [1, 6, 54, 123, 423, 360, 924, 234, 567, 42, 78, 3, 1], [1, 6, 54, 124, 414, 396, 840, 360, 441, 126, 42, 12, 0], [1, 6, 55, 114, 459, 276, 1050, 108, 651, 6, 87, 2, 1], [1, 6, 55, 115, 450, 312, 966, 234, 525, 90, 51, 11, 0], [1, 6, 56, 106, 486, 228, 1092, 108, 609, 54, 60, 10, 0], [1, 7, 38, 221, 96, 1038, 0, 1074, 69, 219, 50, 1, 2], [1, 7, 39, 212, 132, 954, 126, 948, 153, 183, 59, 0, 2], [1, 7, 39, 213, 123, 990, 42, 1074, 27, 267, 23, 9, 1], [1, 7, 40, 204, 159, 906, 168, 948, 111, 231, 32, 8, 1], [1, 7, 41, 195, 195, 822, 294, 822, 195, 195, 41, 7, 1], [1, 7, 41, 196, 186, 858, 210, 948, 69, 279, 5, 16, 0], [1, 7, 42, 186, 231, 738, 420, 696, 279, 159, 50, 6, 1], [1, 7, 42, 187, 222, 774, 336, 822, 153, 243, 14, 15, 0], [1, 7, 43, 177, 267, 654, 546, 570, 363, 123, 59, 5, 1], [1, 7, 43, 178, 258, 690, 462, 696, 237, 207, 23, 14, 0], [1, 7, 44, 168, 303, 570, 672, 444, 447, 87, 68, 4, 1], [1, 7, 44, 169, 294, 606, 588, 570, 321, 171, 32, 13, 0], [1, 7, 45, 159, 339, 486, 798, 318, 531, 51, 77, 3, 1], [1, 7, 45, 160, 330, 522, 714, 444, 405, 135, 41, 12, 0], [1, 7, 46, 150, 375, 402, 924, 192, 615, 15, 86, 2, 1], [1, 7, 46, 151, 366, 438, 840, 318, 489, 99, 50, 11, 0], [1, 7, 47, 142, 402, 354, 966, 192, 573, 63, 59, 10, 0], [1, 7, 48, 133, 438, 270, 1092, 66, 657, 27, 68, 9, 0], [1, 8, 30, 248, 48, 1080, 0, 1032, 117, 192, 58, 0, 2], [1, 8, 31, 240, 75, 1032, 42, 1032, 75, 240, 31, 8, 1], [1, 8, 32, 231, 111, 948, 168, 906, 159, 204, 40, 7, 1], [1, 8, 32, 232, 102, 984, 84, 1032, 33, 288, 4, 16, 0], [1, 8, 33, 222, 147, 864, 294, 780, 243, 168, 49, 6, 1], [1, 8, 33, 223, 138, 900, 210, 906, 117, 252, 13, 15, 0], [1, 8, 34, 213, 183, 780, 420, 654, 327, 132, 58, 5, 1], [1, 8, 34, 214, 174, 816, 336, 780, 201, 216, 22, 14, 0], [1, 8, 35, 204, 219, 696, 546, 528, 411, 96, 67, 4, 1], [1, 8, 35, 205, 210, 732, 462, 654, 285, 180, 31, 13, 0], [1, 8, 36, 195, 255, 612, 672, 402, 495, 60, 76, 3, 1], [1, 8, 36, 196, 246, 648, 588, 528, 369, 144, 40, 12, 0], [1, 8, 37, 186, 291, 528, 798, 276, 579, 24, 85, 2, 1], [1, 8, 37, 187, 282, 564, 714, 402, 453, 108, 49, 11, 0], [1, 8, 38, 178, 318, 480, 840, 276, 537, 72, 58, 10, 0], [1, 8, 39, 169, 354, 396, 966, 150, 621, 36, 67, 9, 0], [1, 8, 40, 160, 390, 312, 1092, 24, 705, 0, 76, 8, 0], [1, 9, 23, 267, 27, 1074, 42, 990, 123, 213, 39, 7, 1], [1, 9, 24, 258, 63, 990, 168, 864, 207, 177, 48, 6, 1], [1, 9, 24, 259, 54, 1026, 84, 990, 81, 261, 12, 15, 0], [1, 9, 25, 249, 99, 906, 294, 738, 291, 141, 57, 5, 1], [1, 9, 25, 250, 90, 942, 210, 864, 165, 225, 21, 14, 0], [1, 9, 26, 240, 135, 822, 420, 612, 375, 105, 66, 4, 1], [1, 9, 26, 241, 126, 858, 336, 738, 249, 189, 30, 13, 0], [1, 9, 27, 231, 171, 738, 546, 486, 459, 69, 75, 3, 1], [1, 9, 27, 232, 162, 774, 462, 612, 333, 153, 39, 12, 0], [1, 9, 28, 222, 207, 654, 672, 360, 543, 33, 84, 2, 1], [1, 9, 28, 223, 198, 690, 588, 486, 417, 117, 48, 11, 0], [1, 9, 29, 214, 234, 606, 714, 360, 501, 81, 57, 10, 0], [1, 9, 30, 205, 270, 522, 840, 234, 585, 45, 66, 9, 0], [1, 9, 31, 196, 306, 438, 966, 108, 669, 9, 75, 8, 0], [1, 10, 16, 285, 15, 1032, 168, 822, 255, 150, 56, 5, 1], [1, 10, 16, 286, 6, 1068, 84, 948, 129, 234, 20, 14, 0], [1, 10, 17, 276, 51, 948, 294, 696, 339, 114, 65, 4, 1], [1, 10, 17, 277, 42, 984, 210, 822, 213, 198, 29, 13, 0], [1, 10, 18, 267, 87, 864, 420, 570, 423, 78, 74, 3, 1], [1, 10, 18, 268, 78, 900, 336, 696, 297, 162, 38, 12, 0], [1, 10, 19, 258, 123, 780, 546, 444, 507, 42, 83, 2, 1], [1, 10, 19, 259, 114, 816, 462, 570, 381, 126, 47, 11, 0], [1, 10, 20, 249, 159, 696, 672, 318, 591, 6, 92, 1, 1], [1, 10, 20, 250, 150, 732, 588, 444, 465, 90, 56, 10, 0], [1, 10, 21, 241, 186, 648, 714, 318, 549, 54, 65, 9, 0], [1, 10, 22, 232, 222, 564, 840, 192, 633, 18, 74, 8, 0], [1, 11, 9, 303, 3, 990, 294, 654, 387, 87, 73, 3, 1], [1, 11, 10, 294, 39, 906, 420, 528, 471, 51, 82, 2, 1], [1, 11, 10, 295, 30, 942, 336, 654, 345, 135, 46, 11, 0], [1, 11, 11, 285, 75, 822, 546, 402, 555, 15, 91, 1, 1], [1, 11, 11, 286, 66, 858, 462, 528, 429, 99, 55, 10, 0], [1, 11, 12, 277, 102, 774, 588, 402, 513, 63, 64, 9, 0], [1, 11, 13, 268, 138, 690, 714, 276, 597, 27, 73, 8, 0], [1, 12, 3, 313, 18, 900, 462, 486, 477, 72, 63, 9, 0], [1, 12, 4, 304, 54, 816, 588, 360, 561, 36, 72, 8, 0], [1, 12, 5, 295, 90, 732, 714, 234, 645, 0, 81, 7, 0], [2, 0, 58, 192, 117, 1032, 0, 1080, 48, 248, 30, 8, 1], [2, 0, 59, 183, 153, 948, 126, 954, 132, 212, 39, 7, 1], [2, 0, 59, 184, 144, 984, 42, 1080, 6, 296, 3, 16, 0], [2, 0, 60, 174, 189, 864, 252, 828, 216, 176, 48, 6, 1], [2, 0, 60, 175, 180, 900, 168, 954, 90, 260, 12, 15, 0], [2, 0, 61, 165, 225, 780, 378, 702, 300, 140, 57, 5, 1], [2, 0, 61, 166, 216, 816, 294, 828, 174, 224, 21, 14, 0], [2, 0, 62, 156, 261, 696, 504, 576, 384, 104, 66, 4, 1], [2, 0, 62, 157, 252, 732, 420, 702, 258, 188, 30, 13, 0], [2, 0, 63, 147, 297, 612, 630, 450, 468, 68, 75, 3, 1], [2, 0, 63, 148, 288, 648, 546, 576, 342, 152, 39, 12, 0], [2, 0, 64, 138, 333, 528, 756, 324, 552, 32, 84, 2, 1], [2, 0, 64, 139, 324, 564, 672, 450, 426, 116, 48, 11, 0], [2, 0, 65, 130, 360, 480, 798, 324, 510, 80, 57, 10, 0], [2, 0, 66, 121, 396, 396, 924, 198, 594, 44, 66, 9, 0], [2, 0, 67, 112, 432, 312, 1050, 72, 678, 8, 75, 8, 0], [2, 1, 50, 219, 69, 1074, 0, 1038, 96, 221, 38, 7, 1], [2, 1, 51, 210, 105, 990, 126, 912, 180, 185, 47, 6, 1], [2, 1, 51, 211, 96, 1026, 42, 1038, 54, 269, 11, 15, 0], [2, 1, 52, 201, 141, 906, 252, 786, 264, 149, 56, 5, 1], [2, 1, 52, 202, 132, 942, 168, 912, 138, 233, 20, 14, 0], [2, 1, 53, 192, 177, 822, 378, 660, 348, 113, 65, 4, 1], [2, 1, 53, 193, 168, 858, 294, 786, 222, 197, 29, 13, 0], [2, 1, 54, 183, 213, 738, 504, 534, 432, 77, 74, 3, 1], [2, 1, 54, 184, 204, 774, 420, 660, 306, 161, 38, 12, 0], [2, 1, 55, 174, 249, 654, 630, 408, 516, 41, 83, 2, 1], [2, 1, 55, 175, 240, 690, 546, 534, 390, 125, 47, 11, 0], [2, 1, 56, 165, 285, 570, 756, 282, 600, 5, 92, 1, 1], [2, 1, 56, 166, 276, 606, 672, 408, 474, 89, 56, 10, 0], [2, 1, 57, 157, 312, 522, 798, 282, 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 400 possible DDs: {[1, 0, 31, 148, 22, 897, 78, 876, 453, 118, 179, 8, 4, 1], [1, 0, 32, 139, 58, 813, 204, 750, 537, 82, 188, 7, 4, 1], [1, 0, 32, 140, 49, 849, 120, 876, 411, 166, 152, 16, 3, 1], [1, 0, 32, 141, 40, 885, 36, 1002, 285, 250, 116, 25, 2, 1], [1, 0, 33, 130, 94, 729, 330, 624, 621, 46, 197, 6, 4, 1], [1, 0, 33, 131, 85, 765, 246, 750, 495, 130, 161, 15, 3, 1], [1, 0, 33, 132, 76, 801, 162, 876, 369, 214, 125, 24, 2, 1], [1, 0, 33, 133, 67, 837, 78, 1002, 243, 298, 89, 33, 1, 1], [1, 0, 33, 134, 59, 864, 30, 1044, 243, 256, 137, 6, 9, 0], [1, 0, 34, 121, 130, 645, 456, 498, 705, 10, 206, 5, 4, 1], [1, 0, 34, 122, 121, 681, 372, 624, 579, 94, 170, 14, 3, 1], [1, 0, 34, 123, 112, 717, 288, 750, 453, 178, 134, 23, 2, 1], [1, 0, 34, 124, 103, 753, 204, 876, 327, 262, 98, 32, 1, 1], [1, 0, 34, 125, 94, 789, 120, 1002, 201, 346, 62, 41, 0, 1], [1, 0, 34, 125, 95, 780, 156, 918, 327, 220, 146, 5, 9, 0], [1, 0, 34, 126, 86, 816, 72, 1044, 201, 304, 110, 14, 8, 0], [1, 0, 35, 113, 157, 597, 498, 498, 663, 58, 179, 13, 3, 1], [1, 0, 35, 114, 148, 633, 414, 624, 537, 142, 143, 22, 2, 1], [1, 0, 35, 115, 139, 669, 330, 750, 411, 226, 107, 31, 1, 1], [1, 0, 35, 116, 130, 705, 246, 876, 285, 310, 71, 40, 0, 1], [1, 0, 35, 116, 131, 696, 282, 792, 411, 184, 155, 4, 9, 0], [1, 0, 35, 117, 122, 732, 198, 918, 285, 268, 119, 13, 8, 0], [1, 0, 35, 118, 113, 768, 114, 1044, 159, 352, 83, 22, 7, 0], [1, 0, 35, 119, 104, 804, 30, 1170, 33, 436, 47, 31, 6, 0], [1, 0, 36, 104, 193, 513, 624, 372, 747, 22, 188, 12, 3, 1], [1, 0, 36, 105, 184, 549, 540, 498, 621, 106, 152, 21, 2, 1], [1, 0, 36, 106, 175, 585, 456, 624, 495, 190, 116, 30, 1, 1], [1, 0, 36, 107, 166, 621, 372, 750, 369, 274, 80, 39, 0, 1], [1, 0, 36, 107, 167, 612, 408, 666, 495, 148, 164, 3, 9, 0], [1, 0, 36, 108, 158, 648, 324, 792, 369, 232, 128, 12, 8, 0], [1, 0, 36, 109, 149, 684, 240, 918, 243, 316, 92, 21, 7, 0], [1, 0, 36, 110, 140, 720, 156, 1044, 117, 400, 56, 30, 6, 0], [1, 0, 37, 96, 220, 465, 666, 372, 705, 70, 161, 20, 2, 1], [1, 0, 37, 97, 211, 501, 582, 498, 579, 154, 125, 29, 1, 1], [1, 0, 37, 98, 202, 537, 498, 624, 453, 238, 89, 38, 0, 1], [1, 0, 37, 98, 203, 528, 534, 540, 579, 112, 173, 2, 9, 0], [1, 0, 37, 99, 194, 564, 450, 666, 453, 196, 137, 11, 8, 0], [1, 0, 37, 100, 185, 600, 366, 792, 327, 280, 101, 20, 7, 0], [1, 0, 37, 101, 176, 636, 282, 918, 201, 364, 65, 29, 6, 0], [1, 0, 37, 102, 167, 672, 198, 1044, 75, 448, 29, 38, 5, 0], [1, 0, 38, 87, 256, 381, 792, 246, 789, 34, 170, 19, 2, 1], [1, 0, 38, 88, 247, 417, 708, 372, 663, 118, 134, 28, 1, 1], [1, 0, 38, 89, 238, 453, 624, 498, 537, 202, 98, 37, 0, 1], [1, 0, 38, 89, 239, 444, 660, 414, 663, 76, 182, 1, 9, 0], [1, 0, 38, 90, 230, 480, 576, 540, 537, 160, 146, 10, 8, 0], [1, 0, 38, 91, 221, 516, 492, 666, 411, 244, 110, 19, 7, 0], [1, 0, 38, 92, 212, 552, 408, 792, 285, 328, 74, 28, 6, 0], [1, 0, 38, 93, 203, 588, 324, 918, 159, 412, 38, 37, 5, 0], [1, 0, 38, 94, 194, 624, 240, 1044, 33, 496, 2, 46, 4, 0], [1, 0, 39, 79, 283, 333, 834, 246, 747, 82, 143, 27, 1, 1], [1, 0, 39, 80, 274, 369, 750, 372, 621, 166, 107, 36, 0, 1], [1, 0, 39, 80, 275, 360, 786, 288, 747, 40, 191, 0, 9, 0], [1, 0, 39, 81, 266, 396, 702, 414, 621, 124, 155, 9, 8, 0], [1, 0, 39, 82, 257, 432, 618, 540, 495, 208, 119, 18, 7, 0], [1, 0, 39, 83, 248, 468, 534, 666, 369, 292, 83, 27, 6, 0], [1, 0, 39, 84, 239, 504, 450, 792, 243, 376, 47, 36, 5, 0], [1, 0, 39, 85, 230, 540, 366, 918, 117, 460, 11, 45, 4, 0], [1, 0, 40, 70, 319, 249, 960, 120, 831, 46, 152, 26, 1, 1], [1, 0, 40, 71, 310, 285, 876, 246, 705, 130, 116, 35, 0, 1], [1, 0, 40, 72, 302, 312, 828, 288, 705, 88, 164, 8, 8, 0], [1, 0, 40, 73, 293, 348, 744, 414, 579, 172, 128, 17, 7, 0], [1, 0, 40, 74, 284, 384, 660, 540, 453, 256, 92, 26, 6, 0], [1, 0, 40, 75, 275, 420, 576, 666, 327, 340, 56, 35, 5, 0], [1, 0, 40, 76, 266, 456, 492, 792, 201, 424, 20, 44, 4, 0], [1, 0, 41, 62, 346, 201, 1002, 120, 789, 94, 125, 34, 0, 1], [1, 0, 41, 63, 338, 228, 954, 162, 789, 52, 173, 7, 8, 0], [1, 0, 41, 64, 329, 264, 870, 288, 663, 136, 137, 16, 7, 0], [1, 0, 41, 65, 320, 300, 786, 414, 537, 220, 101, 25, 6, 0], [1, 0, 41, 66, 311, 336, 702, 540, 411, 304, 65, 34, 5, 0], [1, 0, 41, 67, 302, 372, 618, 666, 285, 388, 29, 43, 4, 0], [1, 0, 42, 54, 374, 144, 1080, 36, 873, 16, 182, 6, 8, 0], [1, 0, 42, 55, 365, 180, 996, 162, 747, 100, 146, 15, 7, 0], [1, 0, 42, 56, 356, 216, 912, 288, 621, 184, 110, 24, 6, 0], [1, 0, 42, 57, 347, 252, 828, 414, 495, 268, 74, 33, 5, 0], [1, 0, 42, 58, 338, 288, 744, 540, 369, 352, 38, 42, 4, 0], [1, 0, 42, 59, 329, 324, 660, 666, 243, 436, 2, 51, 3, 0], [1, 0, 43, 46, 401, 96, 1122, 36, 831, 64, 155, 14, 7, 0], [1, 0, 43, 47, 392, 132, 1038, 162, 705, 148, 119, 23, 6, 0], [1, 0, 43, 48, 383, 168, 954, 288, 579, 232, 83, 32, 5, 0], [1, 0, 43, 49, 374, 204, 870, 414, 453, 316, 47, 41, 4, 0], [1, 0, 43, 50, 365, 240, 786, 540, 327, 400, 11, 50, 3, 0], [1, 0, 44, 38, 428, 48, 1164, 36, 789, 112, 128, 22, 6, 0], [1, 0, 44, 39, 419, 84, 1080, 162, 663, 196, 92, 31, 5, 0], [1, 0, 44, 40, 410, 120, 996, 288, 537, 280, 56, 40, 4, 0], [1, 0, 44, 41, 401, 156, 912, 414, 411, 364, 20, 49, 3, 0], [1, 0, 45, 30, 455, 0, 1206, 36, 747, 160, 101, 30, 5, 0], [1, 0, 45, 31, 446, 36, 1122, 162, 621, 244, 65, 39, 4, 0], [1, 0, 45, 32, 437, 72, 1038, 288, 495, 328, 29, 48, 3, 0], [1, 0, 46, 24, 464, 24, 1080, 288, 453, 376, 2, 56, 2, 0], [1, 1, 24, 166, 10, 855, 204, 708, 585, 55, 196, 6, 4, 1], [1, 1, 24, 167, 1, 891, 120, 834, 459, 139, 160, 15, 3, 1], [1, 1, 25, 157, 46, 771, 330, 582, 669, 19, 205, 5, 4, 1], [1, 1, 25, 158, 37, 807, 246, 708, 543, 103, 169, 14, 3, 1], [1, 1, 25, 159, 28, 843, 162, 834, 417, 187, 133, 23, 2, 1], [1, 1, 25, 160, 19, 879, 78, 960, 291, 271, 97, 32, 1, 1], [1, 1, 25, 161, 11, 906, 30, 1002, 291, 229, 145, 5, 9, 0], [1, 1, 26, 149, 73, 723, 372, 582, 627, 67, 178, 13, 3, 1], [1, 1, 26, 150, 64, 759, 288, 708, 501, 151, 142, 22, 2, 1], [1, 1, 26, 151, 55, 795, 204, 834, 375, 235, 106, 31, 1, 1], [1, 1, 26, 152, 46, 831, 120, 960, 249, 319, 70, 40, 0, 1], [1, 1, 26, 152, 47, 822, 156, 876, 375, 193, 154, 4, 9, 0], [1, 1, 26, 153, 38, 858, 72, 1002, 249, 277, 118, 13, 8, 0], [1, 1, 27, 140, 109, 639, 498, 456, 711, 31, 187, 12, 3, 1], [1, 1, 27, 141, 100, 675, 414, 582, 585, 115, 151, 21, 2, 1], [1, 1, 27, 142, 91, 711, 330, 708, 459, 199, 115, 30, 1, 1], [1, 1, 27, 143, 82, 747, 246, 834, 333, 283, 79, 39, 0, 1], [1, 1, 27, 143, 83, 738, 282, 750, 459, 157, 163, 3, 9, 0], [1, 1, 27, 144, 74, 774, 198, 876, 333, 241, 127, 12, 8, 0], [1, 1, 27, 145, 65, 810, 114, 1002, 207, 325, 91, 21, 7, 0], [1, 1, 27, 146, 56, 846, 30, 1128, 81, 409, 55, 30, 6, 0], [1, 1, 28, 132, 136, 591, 540, 456, 669, 79, 160, 20, 2, 1], [1, 1, 28, 133, 127, 627, 456, 582, 543, 163, 124, 29, 1, 1], [1, 1, 28, 134, 118, 663, 372, 708, 417, 247, 88, 38, 0, 1], [1, 1, 28, 134, 119, 654, 408, 624, 543, 121, 172, 2, 9, 0], [1, 1, 28, 135, 110, 690, 324, 750, 417, 205, 136, 11, 8, 0], 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