------- (13, 3840, 8) ALL distance distributions for INTERNAL point (8, 3840, 8) has 1 possible DDs: {[15, 120, 420, 840, 1050, 840, 420, 120, 15]} (9, 3840, 8) has 15 possible DDs: {[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 63 possible DDs: {[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 249 possible DDs: {[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 780 possible DDs: {[1, 3, 122, 24, 729, 642, 588, 1260, 51, 371, 42, 4, 3], [1, 3, 123, 15, 765, 558, 714, 1134, 135, 335, 51, 3, 3], [1, 3, 123, 16, 756, 594, 630, 1260, 9, 419, 15, 12, 2], [1, 3, 124, 6, 801, 474, 840, 1008, 219, 299, 60, 2, 3], [1, 3, 124, 7, 792, 510, 756, 1134, 93, 383, 24, 11, 2], [1, 4, 113, 60, 645, 768, 462, 1344, 15, 380, 41, 4, 3], [1, 4, 114, 51, 681, 684, 588, 1218, 99, 344, 50, 3, 3], [1, 4, 115, 42, 717, 600, 714, 1092, 183, 308, 59, 2, 3], [1, 4, 115, 43, 708, 636, 630, 1218, 57, 392, 23, 11, 2], [1, 4, 116, 33, 753, 516, 840, 966, 267, 272, 68, 1, 3], [1, 4, 116, 34, 744, 552, 756, 1092, 141, 356, 32, 10, 2], [1, 4, 117, 24, 789, 432, 966, 840, 351, 236, 77, 0, 3], [1, 4, 117, 25, 780, 468, 882, 966, 225, 320, 41, 9, 2], [1, 4, 117, 26, 771, 504, 798, 1092, 99, 404, 5, 18, 1], [1, 4, 118, 16, 816, 384, 1008, 840, 309, 284, 50, 8, 2], [1, 4, 118, 17, 807, 420, 924, 966, 183, 368, 14, 17, 1], [1, 4, 119, 7, 852, 300, 1134, 714, 393, 248, 59, 7, 2], [1, 4, 119, 8, 843, 336, 1050, 840, 267, 332, 23, 16, 1], [1, 5, 105, 87, 597, 810, 462, 1302, 63, 353, 49, 3, 3], [1, 5, 106, 78, 633, 726, 588, 1176, 147, 317, 58, 2, 3], [1, 5, 106, 79, 624, 762, 504, 1302, 21, 401, 22, 11, 2], [1, 5, 107, 69, 669, 642, 714, 1050, 231, 281, 67, 1, 3], [1, 5, 107, 70, 660, 678, 630, 1176, 105, 365, 31, 10, 2], [1, 5, 108, 60, 705, 558, 840, 924, 315, 245, 76, 0, 3], [1, 5, 108, 61, 696, 594, 756, 1050, 189, 329, 40, 9, 2], [1, 5, 108, 62, 687, 630, 672, 1176, 63, 413, 4, 18, 1], [1, 5, 109, 52, 732, 510, 882, 924, 273, 293, 49, 8, 2], [1, 5, 109, 53, 723, 546, 798, 1050, 147, 377, 13, 17, 1], [1, 5, 110, 43, 768, 426, 1008, 798, 357, 257, 58, 7, 2], [1, 5, 110, 44, 759, 462, 924, 924, 231, 341, 22, 16, 1], [1, 5, 111, 34, 804, 342, 1134, 672, 441, 221, 67, 6, 2], [1, 5, 111, 35, 795, 378, 1050, 798, 315, 305, 31, 15, 1], [1, 5, 112, 25, 840, 258, 1260, 546, 525, 185, 76, 5, 2], [1, 5, 112, 26, 831, 294, 1176, 672, 399, 269, 40, 14, 1], [1, 5, 112, 27, 822, 330, 1092, 798, 273, 353, 4, 23, 0], [1, 5, 113, 16, 876, 174, 1386, 420, 609, 149, 85, 4, 2], [1, 5, 113, 17, 867, 210, 1302, 546, 483, 233, 49, 13, 1], [1, 5, 113, 18, 858, 246, 1218, 672, 357, 317, 13, 22, 0], [1, 5, 114, 7, 912, 90, 1512, 294, 693, 113, 94, 3, 2], [1, 5, 114, 8, 903, 126, 1428, 420, 567, 197, 58, 12, 1], [1, 5, 114, 9, 894, 162, 1344, 546, 441, 281, 22, 21, 0], [1, 5, 115, 0, 930, 78, 1470, 420, 525, 245, 31, 20, 0], [1, 6, 96, 123, 513, 936, 336, 1386, 27, 362, 48, 3, 3], [1, 6, 97, 114, 549, 852, 462, 1260, 111, 326, 57, 2, 3], [1, 6, 98, 105, 585, 768, 588, 1134, 195, 290, 66, 1, 3], [1, 6, 98, 106, 576, 804, 504, 1260, 69, 374, 30, 10, 2], [1, 6, 99, 96, 621, 684, 714, 1008, 279, 254, 75, 0, 3], [1, 6, 99, 97, 612, 720, 630, 1134, 153, 338, 39, 9, 2], [1, 6, 99, 98, 603, 756, 546, 1260, 27, 422, 3, 18, 1], [1, 6, 100, 88, 648, 636, 756, 1008, 237, 302, 48, 8, 2], [1, 6, 100, 89, 639, 672, 672, 1134, 111, 386, 12, 17, 1], [1, 6, 101, 79, 684, 552, 882, 882, 321, 266, 57, 7, 2], [1, 6, 101, 80, 675, 588, 798, 1008, 195, 350, 21, 16, 1], [1, 6, 102, 70, 720, 468, 1008, 756, 405, 230, 66, 6, 2], [1, 6, 102, 71, 711, 504, 924, 882, 279, 314, 30, 15, 1], [1, 6, 103, 61, 756, 384, 1134, 630, 489, 194, 75, 5, 2], [1, 6, 103, 62, 747, 420, 1050, 756, 363, 278, 39, 14, 1], [1, 6, 103, 63, 738, 456, 966, 882, 237, 362, 3, 23, 0], [1, 6, 104, 52, 792, 300, 1260, 504, 573, 158, 84, 4, 2], [1, 6, 104, 53, 783, 336, 1176, 630, 447, 242, 48, 13, 1], [1, 6, 104, 54, 774, 372, 1092, 756, 321, 326, 12, 22, 0], [1, 6, 105, 43, 828, 216, 1386, 378, 657, 122, 93, 3, 2], [1, 6, 105, 44, 819, 252, 1302, 504, 531, 206, 57, 12, 1], [1, 6, 105, 45, 810, 288, 1218, 630, 405, 290, 21, 21, 0], [1, 6, 106, 34, 864, 132, 1512, 252, 741, 86, 102, 2, 2], [1, 6, 106, 35, 855, 168, 1428, 378, 615, 170, 66, 11, 1], [1, 6, 106, 36, 846, 204, 1344, 504, 489, 254, 30, 20, 0], [1, 6, 107, 25, 900, 48, 1638, 126, 825, 50, 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94, 99, 654, 582, 840, 966, 201, 371, 2, 23, 0], [1, 7, 95, 88, 708, 426, 1134, 588, 537, 167, 83, 4, 2], [1, 7, 95, 89, 699, 462, 1050, 714, 411, 251, 47, 13, 1], [1, 7, 95, 90, 690, 498, 966, 840, 285, 335, 11, 22, 0], [1, 7, 96, 79, 744, 342, 1260, 462, 621, 131, 92, 3, 2], [1, 7, 96, 80, 735, 378, 1176, 588, 495, 215, 56, 12, 1], [1, 7, 96, 81, 726, 414, 1092, 714, 369, 299, 20, 21, 0], [1, 7, 97, 70, 780, 258, 1386, 336, 705, 95, 101, 2, 2], [1, 7, 97, 71, 771, 294, 1302, 462, 579, 179, 65, 11, 1], [1, 7, 97, 72, 762, 330, 1218, 588, 453, 263, 29, 20, 0], [1, 7, 98, 61, 816, 174, 1512, 210, 789, 59, 110, 1, 2], [1, 7, 98, 62, 807, 210, 1428, 336, 663, 143, 74, 10, 1], [1, 7, 98, 63, 798, 246, 1344, 462, 537, 227, 38, 19, 0], [1, 7, 99, 52, 852, 90, 1638, 84, 873, 23, 119, 0, 2], [1, 7, 99, 53, 843, 126, 1554, 210, 747, 107, 83, 9, 1], [1, 7, 99, 54, 834, 162, 1470, 336, 621, 191, 47, 18, 0], [1, 7, 100, 44, 879, 42, 1680, 84, 831, 71, 92, 8, 1], [1, 7, 100, 45, 870, 78, 1596, 210, 705, 155, 56, 17, 0], [1, 8, 79, 186, 381, 1104, 210, 1428, 39, 344, 55, 2, 3], [1, 8, 80, 177, 417, 1020, 336, 1302, 123, 308, 64, 1, 3], [1, 8, 81, 168, 453, 936, 462, 1176, 207, 272, 73, 0, 3], [1, 8, 81, 169, 444, 972, 378, 1302, 81, 356, 37, 9, 2], [1, 8, 82, 160, 480, 888, 504, 1176, 165, 320, 46, 8, 2], [1, 8, 82, 161, 471, 924, 420, 1302, 39, 404, 10, 17, 1], [1, 8, 83, 151, 516, 804, 630, 1050, 249, 284, 55, 7, 2], [1, 8, 83, 152, 507, 840, 546, 1176, 123, 368, 19, 16, 1], [1, 8, 84, 142, 552, 720, 756, 924, 333, 248, 64, 6, 2], [1, 8, 84, 143, 543, 756, 672, 1050, 207, 332, 28, 15, 1], [1, 8, 85, 133, 588, 636, 882, 798, 417, 212, 73, 5, 2], [1, 8, 85, 134, 579, 672, 798, 924, 291, 296, 37, 14, 1], [1, 8, 85, 135, 570, 708, 714, 1050, 165, 380, 1, 23, 0], [1, 8, 86, 124, 624, 552, 1008, 672, 501, 176, 82, 4, 2], [1, 8, 86, 125, 615, 588, 924, 798, 375, 260, 46, 13, 1], [1, 8, 86, 126, 606, 624, 840, 924, 249, 344, 10, 22, 0], [1, 8, 87, 115, 660, 468, 1134, 546, 585, 140, 91, 3, 2], [1, 8, 87, 116, 651, 504, 1050, 672, 459, 224, 55, 12, 1], [1, 8, 87, 117, 642, 540, 966, 798, 333, 308, 19, 21, 0], [1, 8, 88, 106, 696, 384, 1260, 420, 669, 104, 100, 2, 2], [1, 8, 88, 107, 687, 420, 1176, 546, 543, 188, 64, 11, 1], [1, 8, 88, 108, 678, 456, 1092, 672, 417, 272, 28, 20, 0], [1, 8, 89, 97, 732, 300, 1386, 294, 753, 68, 109, 1, 2], [1, 8, 89, 98, 723, 336, 1302, 420, 627, 152, 73, 10, 1], [1, 8, 89, 99, 714, 372, 1218, 546, 501, 236, 37, 19, 0], [1, 8, 90, 88, 768, 216, 1512, 168, 837, 32, 118, 0, 2], [1, 8, 90, 89, 759, 252, 1428, 294, 711, 116, 82, 9, 1], [1, 8, 90, 90, 750, 288, 1344, 420, 585, 200, 46, 18, 0], [1, 8, 91, 80, 795, 168, 1554, 168, 795, 80, 91, 8, 1], [1, 8, 91, 81, 786, 204, 1470, 294, 669, 164, 55, 17, 0], [1, 8, 92, 71, 831, 84, 1680, 42, 879, 44, 100, 7, 1], [1, 8, 92, 72, 822, 120, 1596, 168, 753, 128, 64, 16, 0], [1, 8, 93, 63, 858, 36, 1722, 42, 837, 92, 73, 15, 0], [1, 9, 70, 222, 297, 1230, 84, 1512, 3, 353, 54, 2, 3], [1, 9, 71, 213, 333, 1146, 210, 1386, 87, 317, 63, 1, 3], [1, 9, 72, 204, 369, 1062, 336, 1260, 171, 281, 72, 0, 3], [1, 9, 72, 205, 360, 1098, 252, 1386, 45, 365, 36, 9, 2], [1, 9, 73, 196, 396, 1014, 378, 1260, 129, 329, 45, 8, 2], [1, 9, 73, 197, 387, 1050, 294, 1386, 3, 413, 9, 17, 1], [1, 9, 74, 187, 432, 930, 504, 1134, 213, 293, 54, 7, 2], [1, 9, 74, 188, 423, 966, 420, 1260, 87, 377, 18, 16, 1], [1, 9, 75, 178, 468, 846, 630, 1008, 297, 257, 63, 6, 2], [1, 9, 75, 179, 459, 882, 546, 1134, 171, 341, 27, 15, 1], [1, 9, 76, 169, 504, 762, 756, 882, 381, 221, 72, 5, 2], [1, 9, 76, 170, 495, 798, 672, 1008, 255, 305, 36, 14, 1], [1, 9, 76, 171, 486, 834, 588, 1134, 129, 389, 0, 23, 0], [1, 9, 77, 160, 540, 678, 882, 756, 465, 185, 81, 4, 2], [1, 9, 77, 161, 531, 714, 798, 882, 339, 269, 45, 13, 1], [1, 9, 77, 162, 522, 750, 714, 1008, 213, 353, 9, 22, 0], [1, 9, 78, 151, 576, 594, 1008, 630, 549, 149, 90, 3, 2], [1, 9, 78, 152, 567, 630, 924, 756, 423, 233, 54, 12, 1], [1, 9, 78, 153, 558, 666, 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660, 70, 107, 5, 1], [2, 10, 31, 366, 96, 1212, 546, 804, 534, 154, 71, 14, 0], [2, 10, 32, 356, 141, 1092, 756, 552, 744, 34, 116, 4, 1], [2, 10, 32, 357, 132, 1128, 672, 678, 618, 118, 80, 13, 0], [2, 10, 33, 348, 168, 1044, 798, 552, 702, 82, 89, 12, 0], [2, 10, 34, 339, 204, 960, 924, 426, 786, 46, 98, 11, 0], [2, 10, 35, 330, 240, 876, 1050, 300, 870, 10, 107, 10, 0], [2, 11, 22, 401, 21, 1302, 504, 762, 624, 79, 106, 5, 1], [2, 11, 22, 402, 12, 1338, 420, 888, 498, 163, 70, 14, 0], [2, 11, 23, 392, 57, 1218, 630, 636, 708, 43, 115, 4, 1], [2, 11, 23, 393, 48, 1254, 546, 762, 582, 127, 79, 13, 0], [2, 11, 24, 383, 93, 1134, 756, 510, 792, 7, 124, 3, 1], [2, 11, 24, 384, 84, 1170, 672, 636, 666, 91, 88, 12, 0], [2, 11, 25, 375, 120, 1086, 798, 510, 750, 55, 97, 11, 0], [2, 11, 26, 366, 156, 1002, 924, 384, 834, 19, 106, 10, 0], [2, 12, 15, 419, 9, 1260, 630, 594, 756, 16, 123, 3, 1], [2, 12, 15, 420, 0, 1296, 546, 720, 630, 100, 87, 12, 0], [2, 12, 16, 411, 36, 1212, 672, 594, 714, 64, 96, 11, 0], [2, 12, 17, 402, 72, 1128, 798, 468, 798, 28, 105, 10, 0], [2, 13, 9, 429, 24, 1170, 798, 426, 846, 1, 113, 9, 0], [3, 0, 69, 307, 72, 1476, 42, 1314, 243, 228, 81, 3, 2], [3, 0, 70, 298, 108, 1392, 168, 1188, 327, 192, 90, 2, 2], [3, 0, 70, 299, 99, 1428, 84, 1314, 201, 276, 54, 11, 1], [3, 0, 70, 300, 90, 1464, 0, 1440, 75, 360, 18, 20, 0], [3, 0, 71, 289, 144, 1308, 294, 1062, 411, 156, 99, 1, 2], [3, 0, 71, 290, 135, 1344, 210, 1188, 285, 240, 63, 10, 1], [3, 0, 71, 291, 126, 1380, 126, 1314, 159, 324, 27, 19, 0], [3, 0, 72, 280, 180, 1224, 420, 936, 495, 120, 108, 0, 2], [3, 0, 72, 281, 171, 1260, 336, 1062, 369, 204, 72, 9, 1], [3, 0, 72, 282, 162, 1296, 252, 1188, 243, 288, 36, 18, 0], [3, 0, 73, 272, 207, 1176, 462, 936, 453, 168, 81, 8, 1], [3, 0, 73, 273, 198, 1212, 378, 1062, 327, 252, 45, 17, 0], [3, 0, 74, 263, 243, 1092, 588, 810, 537, 132, 90, 7, 1], [3, 0, 74, 264, 234, 1128, 504, 936, 411, 216, 54, 16, 0], [3, 0, 75, 254, 279, 1008, 714, 684, 621, 96, 99, 6, 1], [3, 0, 75, 255, 270, 1044, 630, 810, 495, 180, 63, 15, 0], [3, 0, 76, 245, 315, 924, 840, 558, 705, 60, 108, 5, 1], [3, 0, 76, 246, 306, 960, 756, 684, 579, 144, 72, 14, 0], [3, 0, 77, 236, 351, 840, 966, 432, 789, 24, 117, 4, 1], [3, 0, 77, 237, 342, 876, 882, 558, 663, 108, 81, 13, 0], [3, 0, 78, 228, 378, 792, 1008, 432, 747, 72, 90, 12, 0], [3, 0, 79, 219, 414, 708, 1134, 306, 831, 36, 99, 11, 0], [3, 0, 80, 210, 450, 624, 1260, 180, 915, 0, 108, 10, 0], [3, 1, 61, 334, 24, 1518, 42, 1272, 291, 201, 89, 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 2051 possible DDs: {[1, 0, 53, 161, 94, 1182, 114, 1158, 717, 56, 297, 1, 4, 2], [1, 0, 53, 162, 85, 1218, 30, 1284, 591, 140, 261, 10, 3, 2], [1, 0, 54, 152, 130, 1098, 240, 1032, 801, 20, 306, 0, 4, 2], [1, 0, 54, 153, 121, 1134, 156, 1158, 675, 104, 270, 9, 3, 2], [1, 0, 54, 154, 112, 1170, 72, 1284, 549, 188, 234, 18, 2, 2], [1, 0, 55, 144, 157, 1050, 282, 1032, 759, 68, 279, 8, 3, 2], [1, 0, 55, 145, 148, 1086, 198, 1158, 633, 152, 243, 17, 2, 2], [1, 0, 55, 146, 139, 1122, 114, 1284, 507, 236, 207, 26, 1, 2], [1, 0, 55, 147, 130, 1158, 30, 1410, 381, 320, 171, 35, 0, 2], [1, 0, 56, 135, 193, 966, 408, 906, 843, 32, 288, 7, 3, 2], [1, 0, 56, 136, 184, 1002, 324, 1032, 717, 116, 252, 16, 2, 2], [1, 0, 56, 137, 175, 1038, 240, 1158, 591, 200, 216, 25, 1, 2], [1, 0, 56, 138, 166, 1074, 156, 1284, 465, 284, 180, 34, 0, 2], [1, 0, 56, 139, 158, 1101, 108, 1326, 465, 242, 228, 7, 8, 1], [1, 0, 56, 140, 149, 1137, 24, 1452, 339, 326, 192, 16, 7, 1], [1, 0, 57, 127, 220, 918, 450, 906, 801, 80, 261, 15, 2, 2], [1, 0, 57, 128, 211, 954, 366, 1032, 675, 164, 225, 24, 1, 2], [1, 0, 57, 129, 202, 990, 282, 1158, 549, 248, 189, 33, 0, 2], [1, 0, 57, 130, 194, 1017, 234, 1200, 549, 206, 237, 6, 8, 1], [1, 0, 57, 131, 185, 1053, 150, 1326, 423, 290, 201, 15, 7, 1], [1, 0, 57, 132, 176, 1089, 66, 1452, 297, 374, 165, 24, 6, 1], [1, 0, 58, 118, 256, 834, 576, 780, 885, 44, 270, 14, 2, 2], [1, 0, 58, 119, 247, 870, 492, 906, 759, 128, 234, 23, 1, 2], [1, 0, 58, 120, 238, 906, 408, 1032, 633, 212, 198, 32, 0, 2], [1, 0, 58, 121, 230, 933, 360, 1074, 633, 170, 246, 5, 8, 1], [1, 0, 58, 122, 221, 969, 276, 1200, 507, 254, 210, 14, 7, 1], [1, 0, 58, 123, 212, 1005, 192, 1326, 381, 338, 174, 23, 6, 1], [1, 0, 58, 124, 203, 1041, 108, 1452, 255, 422, 138, 32, 5, 1], [1, 0, 58, 125, 194, 1077, 24, 1578, 129, 506, 102, 41, 4, 1], [1, 0, 58, 125, 195, 1068, 60, 1494, 255, 380, 186, 5, 13, 0], [1, 0, 59, 109, 292, 750, 702, 654, 969, 8, 279, 13, 2, 2], [1, 0, 59, 110, 283, 786, 618, 780, 843, 92, 243, 22, 1, 2], [1, 0, 59, 111, 274, 822, 534, 906, 717, 176, 207, 31, 0, 2], [1, 0, 59, 112, 266, 849, 486, 948, 717, 134, 255, 4, 8, 1], [1, 0, 59, 113, 257, 885, 402, 1074, 591, 218, 219, 13, 7, 1], [1, 0, 59, 114, 248, 921, 318, 1200, 465, 302, 183, 22, 6, 1], [1, 0, 59, 115, 239, 957, 234, 1326, 339, 386, 147, 31, 5, 1], [1, 0, 59, 116, 230, 993, 150, 1452, 213, 470, 111, 40, 4, 1], [1, 0, 59, 116, 231, 984, 186, 1368, 339, 344, 195, 4, 13, 0], [1, 0, 59, 117, 221, 1029, 66, 1578, 87, 554, 75, 49, 3, 1], [1, 0, 59, 117, 222, 1020, 102, 1494, 213, 428, 159, 13, 12, 0], [1, 0, 59, 118, 213, 1056, 18, 1620, 87, 512, 123, 22, 11, 0], [1, 0, 60, 101, 319, 702, 744, 654, 927, 56, 252, 21, 1, 2], [1, 0, 60, 102, 310, 738, 660, 780, 801, 140, 216, 30, 0, 2], [1, 0, 60, 103, 302, 765, 612, 822, 801, 98, 264, 3, 8, 1], [1, 0, 60, 104, 293, 801, 528, 948, 675, 182, 228, 12, 7, 1], [1, 0, 60, 105, 284, 837, 444, 1074, 549, 266, 192, 21, 6, 1], [1, 0, 60, 106, 275, 873, 360, 1200, 423, 350, 156, 30, 5, 1], [1, 0, 60, 107, 266, 909, 276, 1326, 297, 434, 120, 39, 4, 1], [1, 0, 60, 107, 267, 900, 312, 1242, 423, 308, 204, 3, 13, 0], [1, 0, 60, 108, 257, 945, 192, 1452, 171, 518, 84, 48, 3, 1], [1, 0, 60, 108, 258, 936, 228, 1368, 297, 392, 168, 12, 12, 0], [1, 0, 60, 109, 248, 981, 108, 1578, 45, 602, 48, 57, 2, 1], [1, 0, 60, 109, 249, 972, 144, 1494, 171, 476, 132, 21, 11, 0], [1, 0, 60, 110, 240, 1008, 60, 1620, 45, 560, 96, 30, 10, 0], [1, 0, 61, 92, 355, 618, 870, 528, 1011, 20, 261, 20, 1, 2], [1, 0, 61, 93, 346, 654, 786, 654, 885, 104, 225, 29, 0, 2], [1, 0, 61, 94, 338, 681, 738, 696, 885, 62, 273, 2, 8, 1], [1, 0, 61, 95, 329, 717, 654, 822, 759, 146, 237, 11, 7, 1], [1, 0, 61, 96, 320, 753, 570, 948, 633, 230, 201, 20, 6, 1], [1, 0, 61, 97, 311, 789, 486, 1074, 507, 314, 165, 29, 5, 1], [1, 0, 61, 98, 302, 825, 402, 1200, 381, 398, 129, 38, 4, 1], [1, 0, 61, 98, 303, 816, 438, 1116, 507, 272, 213, 2, 13, 0], [1, 0, 61, 99, 293, 861, 318, 1326, 255, 482, 93, 47, 3, 1], [1, 0, 61, 99, 294, 852, 354, 1242, 381, 356, 177, 11, 12, 0], [1, 0, 61, 100, 284, 897, 234, 1452, 129, 566, 57, 56, 2, 1], [1, 0, 61, 100, 285, 888, 270, 1368, 255, 440, 141, 20, 11, 0], [1, 0, 61, 101, 275, 933, 150, 1578, 3, 650, 21, 65, 1, 1], [1, 0, 61, 101, 276, 924, 186, 1494, 129, 524, 105, 29, 10, 0], [1, 0, 61, 102, 267, 960, 102, 1620, 3, 608, 69, 38, 9, 0], [1, 0, 62, 84, 382, 570, 912, 528, 969, 68, 234, 28, 0, 2], [1, 0, 62, 85, 374, 597, 864, 570, 969, 26, 282, 1, 8, 1], [1, 0, 62, 86, 365, 633, 780, 696, 843, 110, 246, 10, 7, 1], [1, 0, 62, 87, 356, 669, 696, 822, 717, 194, 210, 19, 6, 1], [1, 0, 62, 88, 347, 705, 612, 948, 591, 278, 174, 28, 5, 1], [1, 0, 62, 89, 338, 741, 528, 1074, 465, 362, 138, 37, 4, 1], [1, 0, 62, 89, 339, 732, 564, 990, 591, 236, 222, 1, 13, 0], [1, 0, 62, 90, 329, 777, 444, 1200, 339, 446, 102, 46, 3, 1], [1, 0, 62, 90, 330, 768, 480, 1116, 465, 320, 186, 10, 12, 0], [1, 0, 62, 91, 320, 813, 360, 1326, 213, 530, 66, 55, 2, 1], [1, 0, 62, 91, 321, 804, 396, 1242, 339, 404, 150, 19, 11, 0], [1, 0, 62, 92, 311, 849, 276, 1452, 87, 614, 30, 64, 1, 1], [1, 0, 62, 92, 312, 840, 312, 1368, 213, 488, 114, 28, 10, 0], [1, 0, 62, 93, 303, 876, 228, 1494, 87, 572, 78, 37, 9, 0], [1, 0, 63, 75, 418, 486, 1038, 402, 1053, 32, 243, 27, 0, 2], [1, 0, 63, 77, 401, 549, 906, 570, 927, 74, 255, 9, 7, 1], [1, 0, 63, 78, 392, 585, 822, 696, 801, 158, 219, 18, 6, 1], [1, 0, 63, 79, 383, 621, 738, 822, 675, 242, 183, 27, 5, 1], [1, 0, 63, 80, 374, 657, 654, 948, 549, 326, 147, 36, 4, 1], [1, 0, 63, 80, 375, 648, 690, 864, 675, 200, 231, 0, 13, 0], [1, 0, 63, 81, 365, 693, 570, 1074, 423, 410, 111, 45, 3, 1], [1, 0, 63, 81, 366, 684, 606, 990, 549, 284, 195, 9, 12, 0], [1, 0, 63, 82, 356, 729, 486, 1200, 297, 494, 75, 54, 2, 1], [1, 0, 63, 82, 357, 720, 522, 1116, 423, 368, 159, 18, 11, 0], [1, 0, 63, 83, 347, 765, 402, 1326, 171, 578, 39, 63, 1, 1], [1, 0, 63, 83, 348, 756, 438, 1242, 297, 452, 123, 27, 10, 0], [1, 0, 63, 84, 338, 801, 318, 1452, 45, 662, 3, 72, 0, 1], [1, 0, 63, 84, 339, 792, 354, 1368, 171, 536, 87, 36, 9, 0], [1, 0, 63, 85, 330, 828, 270, 1494, 45, 620, 51, 45, 8, 0], [1, 0, 64, 68, 437, 465, 1032, 444, 1011, 38, 264, 8, 7, 1], [1, 0, 64, 69, 428, 501, 948, 570, 885, 122, 228, 17, 6, 1], [1, 0, 64, 70, 419, 537, 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