-------
(13, 4096, 8) ALL distance distributions
(8, 4096, 8) has 1 possible DDs: {[16, 128, 448, 896, 1120, 896, 448, 128, 16]}
(9, 4096, 8) has 17 possible DDs: {[0, 144, 0, 1344, 0, 2016, 0, 576, 0, 16], [1, 135, 36, 1260, 126, 1890, 84, 540, 9, 15], [2, 126, 72, 1176, 252, 1764, 168, 504, 18, 14], [3, 117, 108, 1092, 378, 1638, 252, 468, 27, 13], [4, 108, 144, 1008, 504, 1512, 336, 432, 36, 12], [5, 99, 180, 924, 630, 1386, 420, 396, 45, 11], [6, 90, 216, 840, 756, 1260, 504, 360, 54, 10], [7, 81, 252, 756, 882, 1134, 588, 324, 63, 9], [8, 72, 288, 672, 1008, 1008, 672, 288, 72, 8], [9, 63, 324, 588, 1134, 882, 756, 252, 81, 7], [10, 54, 360, 504, 1260, 756, 840, 216, 90, 6], [11, 45, 396, 420, 1386, 630, 924, 180, 99, 5], [12, 36, 432, 336, 1512, 504, 1008, 144, 108, 4], [13, 27, 468, 252, 1638, 378, 1092, 108, 117, 3], [14, 18, 504, 168, 1764, 252, 1176, 72, 126, 2], [15, 9, 540, 84, 1890, 126, 1260, 36, 135, 1], [16, 0, 576, 0, 2016, 0, 1344, 0, 144, 0]}
(10, 4096, 8) has 81 possible DDs: {[0, 72, 72, 672, 672, 1008, 1008, 288, 288, 8, 8], [0, 73, 63, 708, 588, 1134, 882, 372, 252, 17, 7], [0, 74, 54, 744, 504, 1260, 756, 456, 216, 26, 6], [0, 75, 45, 780, 420, 1386, 630, 540, 180, 35, 5], [0, 76, 36, 816, 336, 1512, 504, 624, 144, 44, 4], [0, 77, 27, 852, 252, 1638, 378, 708, 108, 53, 3], [0, 78, 18, 888, 168, 1764, 252, 792, 72, 62, 2], [0, 79, 9, 924, 84, 1890, 126, 876, 36, 71, 1], [0, 80, 0, 960, 0, 2016, 0, 960, 0, 80, 0], [1, 63, 108, 588, 798, 882, 1092, 252, 297, 7, 8], [1, 64, 99, 624, 714, 1008, 966, 336, 261, 16, 7], [1, 65, 90, 660, 630, 1134, 840, 420, 225, 25, 6], [1, 66, 81, 696, 546, 1260, 714, 504, 189, 34, 5], [1, 67, 72, 732, 462, 1386, 588, 588, 153, 43, 4], [1, 68, 63, 768, 378, 1512, 462, 672, 117, 52, 3], [1, 69, 54, 804, 294, 1638, 336, 756, 81, 61, 2], [1, 70, 45, 840, 210, 1764, 210, 840, 45, 70, 1], [1, 71, 36, 876, 126, 1890, 84, 924, 9, 79, 0], [2, 54, 144, 504, 924, 756, 1176, 216, 306, 6, 8], [2, 55, 135, 540, 840, 882, 1050, 300, 270, 15, 7], [2, 56, 126, 576, 756, 1008, 924, 384, 234, 24, 6], [2, 57, 117, 612, 672, 1134, 798, 468, 198, 33, 5], [2, 58, 108, 648, 588, 1260, 672, 552, 162, 42, 4], [2, 59, 99, 684, 504, 1386, 546, 636, 126, 51, 3], [2, 60, 90, 720, 420, 1512, 420, 720, 90, 60, 2], [2, 61, 81, 756, 336, 1638, 294, 804, 54, 69, 1], [2, 62, 72, 792, 252, 1764, 168, 888, 18, 78, 0], [3, 45, 180, 420, 1050, 630, 1260, 180, 315, 5, 8], [3, 46, 171, 456, 966, 756, 1134, 264, 279, 14, 7], [3, 47, 162, 492, 882, 882, 1008, 348, 243, 23, 6], [3, 48, 153, 528, 798, 1008, 882, 432, 207, 32, 5], [3, 49, 144, 564, 714, 1134, 756, 516, 171, 41, 4], [3, 50, 135, 600, 630, 1260, 630, 600, 135, 50, 3], [3, 51, 126, 636, 546, 1386, 504, 684, 99, 59, 2], [3, 52, 117, 672, 462, 1512, 378, 768, 63, 68, 1], [3, 53, 108, 708, 378, 1638, 252, 852, 27, 77, 0], [4, 36, 216, 336, 1176, 504, 1344, 144, 324, 4, 8], [4, 37, 207, 372, 1092, 630, 1218, 228, 288, 13, 7], [4, 38, 198, 408, 1008, 756, 1092, 312, 252, 22, 6], [4, 39, 189, 444, 924, 882, 966, 396, 216, 31, 5], [4, 40, 180, 480, 840, 1008, 840, 480, 180, 40, 4], [4, 41, 171, 516, 756, 1134, 714, 564, 144, 49, 3], [4, 42, 162, 552, 672, 1260, 588, 648, 108, 58, 2], [4, 43, 153, 588, 588, 1386, 462, 732, 72, 67, 1], [4, 44, 144, 624, 504, 1512, 336, 816, 36, 76, 0], [5, 27, 252, 252, 1302, 378, 1428, 108, 333, 3, 8], [5, 28, 243, 288, 1218, 504, 1302, 192, 297, 12, 7], [5, 29, 234, 324, 1134, 630, 1176, 276, 261, 21, 6], [5, 30, 225, 360, 1050, 756, 1050, 360, 225, 30, 5], [5, 31, 216, 396, 966, 882, 924, 444, 189, 39, 4], [5, 32, 207, 432, 882, 1008, 798, 528, 153, 48, 3], [5, 33, 198, 468, 798, 1134, 672, 612, 117, 57, 2], [5, 34, 189, 504, 714, 1260, 546, 696, 81, 66, 1], [5, 35, 180, 540, 630, 1386, 420, 780, 45, 75, 0], [6, 18, 288, 168, 1428, 252, 1512, 72, 342, 2, 8], [6, 19, 279, 204, 1344, 378, 1386, 156, 306, 11, 7], [6, 20, 270, 240, 1260, 504, 1260, 240, 270, 20, 6], [6, 21, 261, 276, 1176, 630, 1134, 324, 234, 29, 5], [6, 22, 252, 312, 1092, 756, 1008, 408, 198, 38, 4], [6, 23, 243, 348, 1008, 882, 882, 492, 162, 47, 3], [6, 24, 234, 384, 924, 1008, 756, 576, 126, 56, 2], [6, 25, 225, 420, 840, 1134, 630, 660, 90, 65, 1], [6, 26, 216, 456, 756, 1260, 504, 744, 54, 74, 0], [7, 9, 324, 84, 1554, 126, 1596, 36, 351, 1, 8], [7, 10, 315, 120, 1470, 252, 1470, 120, 315, 10, 7], [7, 11, 306, 156, 1386, 378, 1344, 204, 279, 19, 6], [7, 12, 297, 192, 1302, 504, 1218, 288, 243, 28, 5], [7, 13, 288, 228, 1218, 630, 1092, 372, 207, 37, 4], [7, 14, 279, 264, 1134, 756, 966, 456, 171, 46, 3], [7, 15, 270, 300, 1050, 882, 840, 540, 135, 55, 2], [7, 16, 261, 336, 966, 1008, 714, 624, 99, 64, 1], [7, 17, 252, 372, 882, 1134, 588, 708, 63, 73, 0], [8, 0, 360, 0, 1680, 0, 1680, 0, 360, 0, 8], [8, 1, 351, 36, 1596, 126, 1554, 84, 324, 9, 7], [8, 2, 342, 72, 1512, 252, 1428, 168, 288, 18, 6], [8, 3, 333, 108, 1428, 378, 1302, 252, 252, 27, 5], [8, 4, 324, 144, 1344, 504, 1176, 336, 216, 36, 4], [8, 5, 315, 180, 1260, 630, 1050, 420, 180, 45, 3], [8, 6, 306, 216, 1176, 756, 924, 504, 144, 54, 2], [8, 7, 297, 252, 1092, 882, 798, 588, 108, 63, 1], [8, 8, 288, 288, 1008, 1008, 672, 672, 72, 72, 0]}
(11, 4096, 8) has 381 possible DDs: {[0, 29, 134, 129, 1224, 42, 1764, 186, 456, 121, 6, 5], [0, 30, 125, 165, 1140, 168, 1638, 270, 420, 130, 5, 5], [0, 30, 126, 156, 1176, 84, 1764, 144, 504, 94, 14, 4], [0, 30, 127, 147, 1212, 0, 1890, 18, 588, 58, 23, 3], [0, 31, 116, 201, 1056, 294, 1512, 354, 384, 139, 4, 5], [0, 31, 117, 192, 1092, 210, 1638, 228, 468, 103, 13, 4], [0, 31, 118, 183, 1128, 126, 1764, 102, 552, 67, 22, 3], [0, 32, 107, 237, 972, 420, 1386, 438, 348, 148, 3, 5], [0, 32, 108, 228, 1008, 336, 1512, 312, 432, 112, 12, 4], [0, 32, 109, 219, 1044, 252, 1638, 186, 516, 76, 21, 3], [0, 32, 110, 210, 1080, 168, 1764, 60, 600, 40, 30, 2], [0, 33, 98, 273, 888, 546, 1260, 522, 312, 157, 2, 5], [0, 33, 99, 264, 924, 462, 1386, 396, 396, 121, 11, 4], [0, 33, 100, 255, 960, 378, 1512, 270, 480, 85, 20, 3], [0, 33, 101, 246, 996, 294, 1638, 144, 564, 49, 29, 2], [0, 33, 102, 237, 1032, 210, 1764, 18, 648, 13, 38, 1], [0, 34, 89, 309, 804, 672, 1134, 606, 276, 166, 1, 5], [0, 34, 90, 300, 840, 588, 1260, 480, 360, 130, 10, 4], [0, 34, 91, 291, 876, 504, 1386, 354, 444, 94, 19, 3], [0, 34, 92, 282, 912, 420, 1512, 228, 528, 58, 28, 2], [0, 34, 93, 273, 948, 336, 1638, 102, 612, 22, 37, 1], [0, 35, 80, 345, 720, 798, 1008, 690, 240, 175, 0, 5], [0, 35, 81, 336, 756, 714, 1134, 564, 324, 139, 9, 4], [0, 35, 82, 327, 792, 630, 1260, 438, 408, 103, 18, 3], [0, 35, 83, 318, 828, 546, 1386, 312, 492, 67, 27, 2], [0, 35, 84, 309, 864, 462, 1512, 186, 576, 31, 36, 1], [0, 36, 72, 372, 672, 840, 1008, 648, 288, 148, 8, 4], [0, 36, 73, 363, 708, 756, 1134, 522, 372, 112, 17, 3], [0, 36, 74, 354, 744, 672, 1260, 396, 456, 76, 26, 2], [0, 36, 75, 345, 780, 588, 1386, 270, 540, 40, 35, 1], [0, 36, 76, 336, 816, 504, 1512, 144, 624, 4, 44, 0], [0, 37, 63, 408, 588, 966, 882, 732, 252, 157, 7, 4], [0, 37, 64, 399, 624, 882, 1008, 606, 336, 121, 16, 3], [0, 37, 65, 390, 660, 798, 1134, 480, 420, 85, 25, 2], [0, 37, 66, 381, 696, 714, 1260, 354, 504, 49, 34, 1], [0, 37, 67, 372, 732, 630, 1386, 228, 588, 13, 43, 0], [0, 38, 54, 444, 504, 1092, 756, 816, 216, 166, 6, 4], [0, 38, 55, 435, 540, 1008, 882, 690, 300, 130, 15, 3], [0, 38, 56, 426, 576, 924, 1008, 564, 384, 94, 24, 2], [0, 38, 57, 417, 612, 840, 1134, 438, 468, 58, 33, 1], [0, 38, 58, 408, 648, 756, 1260, 312, 552, 22, 42, 0], [0, 39, 45, 480, 420, 1218, 630, 900, 180, 175, 5, 4], [0, 39, 46, 471, 456, 1134, 756, 774, 264, 139, 14, 3], [0, 39, 47, 462, 492, 1050, 882, 648, 348, 103, 23, 2], [0, 39, 48, 453, 528, 966, 1008, 522, 432, 67, 32, 1], [0, 39, 49, 444, 564, 882, 1134, 396, 516, 31, 41, 0], [0, 40, 36, 516, 336, 1344, 504, 984, 144, 184, 4, 4], [0, 40, 37, 507, 372, 1260, 630, 858, 228, 148, 13, 3], [0, 40, 38, 498, 408, 1176, 756, 732, 312, 112, 22, 2], [0, 40, 39, 489, 444, 1092, 882, 606, 396, 76, 31, 1], [0, 40, 40, 480, 480, 1008, 1008, 480, 480, 40, 40, 0], [0, 41, 27, 552, 252, 1470, 378, 1068, 108, 193, 3, 4], [0, 41, 28, 543, 288, 1386, 504, 942, 192, 157, 12, 3], [0, 41, 29, 534, 324, 1302, 630, 816, 276, 121, 21, 2], [0, 41, 30, 525, 360, 1218, 756, 690, 360, 85, 30, 1], [0, 41, 31, 516, 396, 1134, 882, 564, 444, 49, 39, 0], [0, 42, 18, 588, 168, 1596, 252, 1152, 72, 202, 2, 4], [0, 42, 19, 579, 204, 1512, 378, 1026, 156, 166, 11, 3], [0, 42, 20, 570, 240, 1428, 504, 900, 240, 130, 20, 2], [0, 42, 21, 561, 276, 1344, 630, 774, 324, 94, 29, 1], [0, 42, 22, 552, 312, 1260, 756, 648, 408, 58, 38, 0], [0, 43, 9, 624, 84, 1722, 126, 1236, 36, 211, 1, 4], [0, 43, 10, 615, 120, 1638, 252, 1110, 120, 175, 10, 3], [0, 43, 11, 606, 156, 1554, 378, 984, 204, 139, 19, 2], [0, 43, 12, 597, 192, 1470, 504, 858, 288, 103, 28, 1], [0, 43, 13, 588, 228, 1386, 630, 732, 372, 67, 37, 0], [0, 44, 0, 660, 0, 1848, 0, 1320, 0, 220, 0, 4], [0, 44, 1, 651, 36, 1764, 126, 1194, 84, 184, 9, 3], [0, 44, 2, 642, 72, 1680, 252, 1068, 168, 148, 18, 2], [0, 44, 3, 633, 108, 1596, 378, 942, 252, 112, 27, 1], [0, 44, 4, 624, 144, 1512, 504, 816, 336, 76, 36, 0], [1, 21, 161, 81, 1266, 42, 1722, 234, 429, 129, 5, 5], [1, 22, 152, 117, 1182, 168, 1596, 318, 393, 138, 4, 5], [1, 22, 153, 108, 1218, 84, 1722, 192, 477, 102, 13, 4], [1, 22, 154, 99, 1254, 0, 1848, 66, 561, 66, 22, 3], [1, 23, 143, 153, 1098, 294, 1470, 402, 357, 147, 3, 5], [1, 23, 144, 144, 1134, 210, 1596, 276, 441, 111, 12, 4], [1, 23, 145, 135, 1170, 126, 1722, 150, 525, 75, 21, 3], [1, 23, 146, 126, 1206, 42, 1848, 24, 609, 39, 30, 2], [1, 24, 134, 189, 1014, 420, 1344, 486, 321, 156, 2, 5], [1, 24, 135, 180, 1050, 336, 1470, 360, 405, 120, 11, 4], [1, 24, 136, 171, 1086, 252, 1596, 234, 489, 84, 20, 3], [1, 24, 137, 162, 1122, 168, 1722, 108, 573, 48, 29, 2], [1, 25, 125, 225, 930, 546, 1218, 570, 285, 165, 1, 5], [1, 25, 126, 216, 966, 462, 1344, 444, 369, 129, 10, 4], [1, 25, 127, 207, 1002, 378, 1470, 318, 453, 93, 19, 3], [1, 25, 128, 198, 1038, 294, 1596, 192, 537, 57, 28, 2], [1, 25, 129, 189, 1074, 210, 1722, 66, 621, 21, 37, 1], [1, 26, 116, 261, 846, 672, 1092, 654, 249, 174, 0, 5], [1, 26, 117, 252, 882, 588, 1218, 528, 333, 138, 9, 4], [1, 26, 118, 243, 918, 504, 1344, 402, 417, 102, 18, 3], [1, 26, 119, 234, 954, 420, 1470, 276, 501, 66, 27, 2], [1, 26, 120, 225, 990, 336, 1596, 150, 585, 30, 36, 1], [1, 27, 108, 288, 798, 714, 1092, 612, 297, 147, 8, 4], [1, 27, 109, 279, 834, 630, 1218, 486, 381, 111, 17, 3], [1, 27, 110, 270, 870, 546, 1344, 360, 465, 75, 26, 2], [1, 27, 111, 261, 906, 462, 1470, 234, 549, 39, 35, 1], [1, 27, 112, 252, 942, 378, 1596, 108, 633, 3, 44, 0], [1, 28, 99, 324, 714, 840, 966, 696, 261, 156, 7, 4], [1, 28, 100, 315, 750, 756, 1092, 570, 345, 120, 16, 3], [1, 28, 101, 306, 786, 672, 1218, 444, 429, 84, 25, 2], [1, 28, 102, 297, 822, 588, 1344, 318, 513, 48, 34, 1], [1, 28, 103, 288, 858, 504, 1470, 192, 597, 12, 43, 0], [1, 29, 90, 360, 630, 966, 840, 780, 225, 165, 6, 4], [1, 29, 91, 351, 666, 882, 966, 654, 309, 129, 15, 3], [1, 29, 92, 342, 702, 798, 1092, 528, 393, 93, 24, 2], [1, 29, 93, 333, 738, 714, 1218, 402, 477, 57, 33, 1], [1, 29, 94, 324, 774, 630, 1344, 276, 561, 21, 42, 0], [1, 30, 81, 396, 546, 1092, 714, 864, 189, 174, 5, 4], [1, 30, 82, 387, 582, 1008, 840, 738, 273, 138, 14, 3], [1, 30, 83, 378, 618, 924, 966, 612, 357, 102, 23, 2], [1, 30, 84, 369, 654, 840, 1092, 486, 441, 66, 32, 1], [1, 30, 85, 360, 690, 756, 1218, 360, 525, 30, 41, 0], [1, 31, 72, 432, 462, 1218, 588, 948, 153, 183, 4, 4], [1, 31, 73, 423, 498, 1134, 714, 822, 237, 147, 13, 3], [1, 31, 74, 414, 534, 1050, 840, 696, 321, 111, 22, 2], [1, 31, 75, 405, 570, 966, 966, 570, 405, 75, 31, 1], [1, 31, 76, 396, 606, 882, 1092, 444, 489, 39, 40, 0], [1, 32, 63, 468, 378, 1344, 462, 1032, 117, 192, 3, 4], [1, 32, 64, 459, 414, 1260, 588, 906, 201, 156, 12, 3], [1, 32, 65, 450, 450, 1176, 714, 780, 285, 120, 21, 2], [1, 32, 66, 441, 486, 1092, 840, 654, 369, 84, 30, 1], [1, 32, 67, 432, 522, 1008, 966, 528, 453, 48, 39, 0], [1, 33, 54, 504, 294, 1470, 336, 1116, 81, 201, 2, 4], [1, 33, 55, 495, 330, 1386, 462, 990, 165, 165, 11, 3], [1, 33, 56, 486, 366, 1302, 588, 864, 249, 129, 20, 2], [1, 33, 57, 477, 402, 1218, 714, 738, 333, 93, 29, 1], [1, 33, 58, 468, 438, 1134, 840, 612, 417, 57, 38, 0], [1, 34, 45, 540, 210, 1596, 210, 1200, 45, 210, 1, 4], [1, 34, 46, 531, 246, 1512, 336, 1074, 129, 174, 10, 3], [1, 34, 47, 522, 282, 1428, 462, 948, 213, 138, 19, 2], [1, 34, 48, 513, 318, 1344, 588, 822, 297, 102, 28, 1], [1, 34, 49, 504, 354, 1260, 714, 696, 381, 66, 37, 0], [1, 35, 36, 576, 126, 1722, 84, 1284, 9, 219, 0, 4], [1, 35, 37, 567, 162, 1638, 210, 1158, 93, 183, 9, 3], [1, 35, 38, 558, 198, 1554, 336, 1032, 177, 147, 18, 2], [1, 35, 39, 549, 234, 1470, 462, 906, 261, 111, 27, 1], [1, 35, 40, 540, 270, 1386, 588, 780, 345, 75, 36, 0], [1, 36, 28, 603, 78, 1764, 84, 1242, 57, 192, 8, 3], [1, 36, 29, 594, 114, 1680, 210, 1116, 141, 156, 17, 2], [1, 36, 30, 585, 150, 1596, 336, 990, 225, 120, 26, 1], [1, 36, 31, 576, 186, 1512, 462, 864, 309, 84, 35, 0], [1, 37, 20, 630, 30, 1806, 84, 1200, 105, 165, 16, 2], [1, 37, 21, 621, 66, 1722, 210, 1074, 189, 129, 25, 1], [1, 37, 22, 612, 102, 1638, 336, 948, 273, 93, 34, 0], [1, 38, 13, 648, 18, 1764, 210, 1032, 237, 102, 33, 0], [2, 13, 188, 33, 1308, 42, 1680, 282, 402, 137, 4, 5], [2, 14, 179, 69, 1224, 168, 1554, 366, 366, 146, 3, 5], [2, 14, 180, 60, 1260, 84, 1680, 240, 450, 110, 12, 4], [2, 14, 181, 51, 1296, 0, 1806, 114, 534, 74, 21, 3], [2, 15, 170, 105, 1140, 294, 1428, 450, 330, 155, 2, 5], [2, 15, 171, 96, 1176, 210, 1554, 324, 414, 119, 11, 4], [2, 15, 172, 87, 1212, 126, 1680, 198, 498, 83, 20, 3], [2, 15, 173, 78, 1248, 42, 1806, 72, 582, 47, 29, 2], [2, 16, 161, 141, 1056, 420, 1302, 534, 294, 164, 1, 5], [2, 16, 162, 132, 1092, 336, 1428, 408, 378, 128, 10, 4], [2, 16, 163, 123, 1128, 252, 1554, 282, 462, 92, 19, 3], [2, 16, 164, 114, 1164, 168, 1680, 156, 546, 56, 28, 2], [2, 16, 165, 105, 1200, 84, 1806, 30, 630, 20, 37, 1], [2, 17, 152, 177, 972, 546, 1176, 618, 258, 173, 0, 5], [2, 17, 153, 168, 1008, 462, 1302, 492, 342, 137, 9, 4], [2, 17, 154, 159, 1044, 378, 1428, 366, 426, 101, 18, 3], [2, 17, 155, 150, 1080, 294, 1554, 240, 510, 65, 27, 2], [2, 17, 156, 141, 1116, 210, 1680, 114, 594, 29, 36, 1], [2, 18, 144, 204, 924, 588, 1176, 576, 306, 146, 8, 4], [2, 18, 145, 195, 960, 504, 1302, 450, 390, 110, 17, 3], [2, 18, 146, 186, 996, 420, 1428, 324, 474, 74, 26, 2], [2, 18, 147, 177, 1032, 336, 1554, 198, 558, 38, 35, 1], [2, 18, 148, 168, 1068, 252, 1680, 72, 642, 2, 44, 0], [2, 19, 135, 240, 840, 714, 1050, 660, 270, 155, 7, 4], [2, 19, 136, 231, 876, 630, 1176, 534, 354, 119, 16, 3], [2, 19, 137, 222, 912, 546, 1302, 408, 438, 83, 25, 2], [2, 19, 138, 213, 948, 462, 1428, 282, 522, 47, 34, 1], [2, 19, 139, 204, 984, 378, 1554, 156, 606, 11, 43, 0], [2, 20, 126, 276, 756, 840, 924, 744, 234, 164, 6, 4], [2, 20, 127, 267, 792, 756, 1050, 618, 318, 128, 15, 3], [2, 20, 128, 258, 828, 672, 1176, 492, 402, 92, 24, 2], [2, 20, 129, 249, 864, 588, 1302, 366, 486, 56, 33, 1], [2, 20, 130, 240, 900, 504, 1428, 240, 570, 20, 42, 0], [2, 21, 117, 312, 672, 966, 798, 828, 198, 173, 5, 4], [2, 21, 118, 303, 708, 882, 924, 702, 282, 137, 14, 3], [2, 21, 119, 294, 744, 798, 1050, 576, 366, 101, 23, 2], [2, 21, 120, 285, 780, 714, 1176, 450, 450, 65, 32, 1], [2, 21, 121, 276, 816, 630, 1302, 324, 534, 29, 41, 0], [2, 22, 108, 348, 588, 1092, 672, 912, 162, 182, 4, 4], [2, 22, 109, 339, 624, 1008, 798, 786, 246, 146, 13, 3], [2, 22, 110, 330, 660, 924, 924, 660, 330, 110, 22, 2], [2, 22, 111, 321, 696, 840, 1050, 534, 414, 74, 31, 1], [2, 22, 112, 312, 732, 756, 1176, 408, 498, 38, 40, 0], [2, 23, 99, 384, 504, 1218, 546, 996, 126, 191, 3, 4], [2, 23, 100, 375, 540, 1134, 672, 870, 210, 155, 12, 3], [2, 23, 101, 366, 576, 1050, 798, 744, 294, 119, 21, 2], [2, 23, 102, 357, 612, 966, 924, 618, 378, 83, 30, 1], [2, 23, 103, 348, 648, 882, 1050, 492, 462, 47, 39, 0], [2, 24, 90, 420, 420, 1344, 420, 1080, 90, 200, 2, 4], [2, 24, 91, 411, 456, 1260, 546, 954, 174, 164, 11, 3], [2, 24, 92, 402, 492, 1176, 672, 828, 258, 128, 20, 2], [2, 24, 93, 393, 528, 1092, 798, 702, 342, 92, 29, 1], [2, 24, 94, 384, 564, 1008, 924, 576, 426, 56, 38, 0], [2, 25, 81, 456, 336, 1470, 294, 1164, 54, 209, 1, 4], [2, 25, 82, 447, 372, 1386, 420, 1038, 138, 173, 10, 3], [2, 25, 83, 438, 408, 1302, 546, 912, 222, 137, 19, 2], [2, 25, 84, 429, 444, 1218, 672, 786, 306, 101, 28, 1], [2, 25, 85, 420, 480, 1134, 798, 660, 390, 65, 37, 0], [2, 26, 72, 492, 252, 1596, 168, 1248, 18, 218, 0, 4], [2, 26, 73, 483, 288, 1512, 294, 1122, 102, 182, 9, 3], [2, 26, 74, 474, 324, 1428, 420, 996, 186, 146, 18, 2], [2, 26, 75, 465, 360, 1344, 546, 870, 270, 110, 27, 1], [2, 26, 76, 456, 396, 1260, 672, 744, 354, 74, 36, 0], [2, 27, 64, 519, 204, 1638, 168, 1206, 66, 191, 8, 3], [2, 27, 65, 510, 240, 1554, 294, 1080, 150, 155, 17, 2], [2, 27, 66, 501, 276, 1470, 420, 954, 234, 119, 26, 1], [2, 27, 67, 492, 312, 1386, 546, 828, 318, 83, 35, 0], [2, 28, 55, 555, 120, 1764, 42, 1290, 30, 200, 7, 3], [2, 28, 56, 546, 156, 1680, 168, 1164, 114, 164, 16, 2], [2, 28, 57, 537, 192, 1596, 294, 1038, 198, 128, 25, 1], [2, 28, 58, 528, 228, 1512, 420, 912, 282, 92, 34, 0], [2, 29, 47, 582, 72, 1806, 42, 1248, 78, 173, 15, 2], [2, 29, 48, 573, 108, 1722, 168, 1122, 162, 137, 24, 1], [2, 29, 49, 564, 144, 1638, 294, 996, 246, 101, 33, 0], [2, 30, 39, 609, 24, 1848, 42, 1206, 126, 146, 23, 1], [2, 30, 40, 600, 60, 1764, 168, 1080, 210, 110, 32, 0], [3, 6, 206, 21, 1266, 168, 1512, 414, 339, 154, 2, 5], [3, 6, 207, 12, 1302, 84, 1638, 288, 423, 118, 11, 4], [3, 6, 208, 3, 1338, 0, 1764, 162, 507, 82, 20, 3], [3, 7, 197, 57, 1182, 294, 1386, 498, 303, 163, 1, 5], [3, 7, 198, 48, 1218, 210, 1512, 372, 387, 127, 10, 4], [3, 7, 199, 39, 1254, 126, 1638, 246, 471, 91, 19, 3], [3, 7, 200, 30, 1290, 42, 1764, 120, 555, 55, 28, 2], [3, 8, 188, 93, 1098, 420, 1260, 582, 267, 172, 0, 5], [3, 8, 189, 84, 1134, 336, 1386, 456, 351, 136, 9, 4], [3, 8, 190, 75, 1170, 252, 1512, 330, 435, 100, 18, 3], [3, 8, 191, 66, 1206, 168, 1638, 204, 519, 64, 27, 2], [3, 8, 192, 57, 1242, 84, 1764, 78, 603, 28, 36, 1], [3, 9, 180, 120, 1050, 462, 1260, 540, 315, 145, 8, 4], [3, 9, 181, 111, 1086, 378, 1386, 414, 399, 109, 17, 3], [3, 9, 182, 102, 1122, 294, 1512, 288, 483, 73, 26, 2], [3, 9, 183, 93, 1158, 210, 1638, 162, 567, 37, 35, 1], [3, 9, 184, 84, 1194, 126, 1764, 36, 651, 1, 44, 0], [3, 10, 171, 156, 966, 588, 1134, 624, 279, 154, 7, 4], [3, 10, 172, 147, 1002, 504, 1260, 498, 363, 118, 16, 3], [3, 10, 173, 138, 1038, 420, 1386, 372, 447, 82, 25, 2], [3, 10, 174, 129, 1074, 336, 1512, 246, 531, 46, 34, 1], [3, 10, 175, 120, 1110, 252, 1638, 120, 615, 10, 43, 0], [3, 11, 162, 192, 882, 714, 1008, 708, 243, 163, 6, 4], [3, 11, 163, 183, 918, 630, 1134, 582, 327, 127, 15, 3], [3, 11, 164, 174, 954, 546, 1260, 456, 411, 91, 24, 2], [3, 11, 165, 165, 990, 462, 1386, 330, 495, 55, 33, 1], [3, 11, 166, 156, 1026, 378, 1512, 204, 579, 19, 42, 0], [3, 12, 153, 228, 798, 840, 882, 792, 207, 172, 5, 4], [3, 12, 154, 219, 834, 756, 1008, 666, 291, 136, 14, 3], [3, 12, 155, 210, 870, 672, 1134, 540, 375, 100, 23, 2], [3, 12, 156, 201, 906, 588, 1260, 414, 459, 64, 32, 1], [3, 12, 157, 192, 942, 504, 1386, 288, 543, 28, 41, 0], [3, 13, 144, 264, 714, 966, 756, 876, 171, 181, 4, 4], [3, 13, 145, 255, 750, 882, 882, 750, 255, 145, 13, 3], [3, 13, 146, 246, 786, 798, 1008, 624, 339, 109, 22, 2], [3, 13, 147, 237, 822, 714, 1134, 498, 423, 73, 31, 1], [3, 13, 148, 228, 858, 630, 1260, 372, 507, 37, 40, 0], [3, 14, 135, 300, 630, 1092, 630, 960, 135, 190, 3, 4], [3, 14, 136, 291, 666, 1008, 756, 834, 219, 154, 12, 3], [3, 14, 137, 282, 702, 924, 882, 708, 303, 118, 21, 2], [3, 14, 138, 273, 738, 840, 1008, 582, 387, 82, 30, 1], [3, 14, 139, 264, 774, 756, 1134, 456, 471, 46, 39, 0], [3, 15, 126, 336, 546, 1218, 504, 1044, 99, 199, 2, 4], [3, 15, 127, 327, 582, 1134, 630, 918, 183, 163, 11, 3], [3, 15, 128, 318, 618, 1050, 756, 792, 267, 127, 20, 2], [3, 15, 129, 309, 654, 966, 882, 666, 351, 91, 29, 1], [3, 15, 130, 300, 690, 882, 1008, 540, 435, 55, 38, 0], [3, 16, 117, 372, 462, 1344, 378, 1128, 63, 208, 1, 4], [3, 16, 118, 363, 498, 1260, 504, 1002, 147, 172, 10, 3], [3, 16, 119, 354, 534, 1176, 630, 876, 231, 136, 19, 2], [3, 16, 120, 345, 570, 1092, 756, 750, 315, 100, 28, 1], [3, 16, 121, 336, 606, 1008, 882, 624, 399, 64, 37, 0], [3, 17, 108, 408, 378, 1470, 252, 1212, 27, 217, 0, 4], [3, 17, 109, 399, 414, 1386, 378, 1086, 111, 181, 9, 3], [3, 17, 110, 390, 450, 1302, 504, 960, 195, 145, 18, 2], [3, 17, 111, 381, 486, 1218, 630, 834, 279, 109, 27, 1], [3, 17, 112, 372, 522, 1134, 756, 708, 363, 73, 36, 0], [3, 18, 100, 435, 330, 1512, 252, 1170, 75, 190, 8, 3], [3, 18, 101, 426, 366, 1428, 378, 1044, 159, 154, 17, 2], [3, 18, 102, 417, 402, 1344, 504, 918, 243, 118, 26, 1], [3, 18, 103, 408, 438, 1260, 630, 792, 327, 82, 35, 0], [3, 19, 91, 471, 246, 1638, 126, 1254, 39, 199, 7, 3], [3, 19, 92, 462, 282, 1554, 252, 1128, 123, 163, 16, 2], [3, 19, 93, 453, 318, 1470, 378, 1002, 207, 127, 25, 1], [3, 19, 94, 444, 354, 1386, 504, 876, 291, 91, 34, 0], [3, 20, 82, 507, 162, 1764, 0, 1338, 3, 208, 6, 3], [3, 20, 83, 498, 198, 1680, 126, 1212, 87, 172, 15, 2], [3, 20, 84, 489, 234, 1596, 252, 1086, 171, 136, 24, 1], [3, 20, 85, 480, 270, 1512, 378, 960, 255, 100, 33, 0], [3, 21, 74, 534, 114, 1806, 0, 1296, 51, 181, 14, 2], [3, 21, 75, 525, 150, 1722, 126, 1170, 135, 145, 23, 1], [3, 21, 76, 516, 186, 1638, 252, 1044, 219, 109, 32, 0], [3, 22, 66, 561, 66, 1848, 0, 1254, 99, 154, 22, 1], [3, 22, 67, 552, 102, 1764, 126, 1128, 183, 118, 31, 0], [3, 23, 58, 588, 18, 1890, 0, 1212, 147, 127, 30, 0], [4, 0, 216, 36, 1176, 336, 1344, 504, 324, 144, 8, 4], [4, 0, 217, 27, 1212, 252, 1470, 378, 408, 108, 17, 3], [4, 0, 218, 18, 1248, 168, 1596, 252, 492, 72, 26, 2], [4, 0, 219, 9, 1284, 84, 1722, 126, 576, 36, 35, 1], [4, 0, 220, 0, 1320, 0, 1848, 0, 660, 0, 44, 0], [4, 1, 207, 72, 1092, 462, 1218, 588, 288, 153, 7, 4], [4, 1, 208, 63, 1128, 378, 1344, 462, 372, 117, 16, 3], [4, 1, 209, 54, 1164, 294, 1470, 336, 456, 81, 25, 2], [4, 1, 210, 45, 1200, 210, 1596, 210, 540, 45, 34, 1], [4, 1, 211, 36, 1236, 126, 1722, 84, 624, 9, 43, 0], [4, 2, 198, 108, 1008, 588, 1092, 672, 252, 162, 6, 4], [4, 2, 199, 99, 1044, 504, 1218, 546, 336, 126, 15, 3], [4, 2, 200, 90, 1080, 420, 1344, 420, 420, 90, 24, 2], [4, 2, 201, 81, 1116, 336, 1470, 294, 504, 54, 33, 1], [4, 2, 202, 72, 1152, 252, 1596, 168, 588, 18, 42, 0], [4, 3, 189, 144, 924, 714, 966, 756, 216, 171, 5, 4], [4, 3, 190, 135, 960, 630, 1092, 630, 300, 135, 14, 3], [4, 3, 191, 126, 996, 546, 1218, 504, 384, 99, 23, 2], [4, 3, 192, 117, 1032, 462, 1344, 378, 468, 63, 32, 1], [4, 3, 193, 108, 1068, 378, 1470, 252, 552, 27, 41, 0], [4, 4, 180, 180, 840, 840, 840, 840, 180, 180, 4, 4], [4, 4, 181, 171, 876, 756, 966, 714, 264, 144, 13, 3], [4, 4, 182, 162, 912, 672, 1092, 588, 348, 108, 22, 2], [4, 4, 183, 153, 948, 588, 1218, 462, 432, 72, 31, 1], [4, 4, 184, 144, 984, 504, 1344, 336, 516, 36, 40, 0], [4, 5, 171, 216, 756, 966, 714, 924, 144, 189, 3, 4], [4, 5, 172, 207, 792, 882, 840, 798, 228, 153, 12, 3], [4, 5, 173, 198, 828, 798, 966, 672, 312, 117, 21, 2], [4, 5, 174, 189, 864, 714, 1092, 546, 396, 81, 30, 1], [4, 5, 175, 180, 900, 630, 1218, 420, 480, 45, 39, 0], [4, 6, 162, 252, 672, 1092, 588, 1008, 108, 198, 2, 4], [4, 6, 163, 243, 708, 1008, 714, 882, 192, 162, 11, 3], [4, 6, 164, 234, 744, 924, 840, 756, 276, 126, 20, 2], [4, 6, 165, 225, 780, 840, 966, 630, 360, 90, 29, 1], [4, 6, 166, 216, 816, 756, 1092, 504, 444, 54, 38, 0], [4, 7, 153, 288, 588, 1218, 462, 1092, 72, 207, 1, 4], [4, 7, 154, 279, 624, 1134, 588, 966, 156, 171, 10, 3], [4, 7, 155, 270, 660, 1050, 714, 840, 240, 135, 19, 2], [4, 7, 156, 261, 696, 966, 840, 714, 324, 99, 28, 1], [4, 7, 157, 252, 732, 882, 966, 588, 408, 63, 37, 0], [4, 8, 144, 324, 504, 1344, 336, 1176, 36, 216, 0, 4], [4, 8, 145, 315, 540, 1260, 462, 1050, 120, 180, 9, 3], [4, 8, 146, 306, 576, 1176, 588, 924, 204, 144, 18, 2], [4, 8, 147, 297, 612, 1092, 714, 798, 288, 108, 27, 1], [4, 8, 148, 288, 648, 1008, 840, 672, 372, 72, 36, 0], [4, 9, 136, 351, 456, 1386, 336, 1134, 84, 189, 8, 3], [4, 9, 137, 342, 492, 1302, 462, 1008, 168, 153, 17, 2], [4, 9, 138, 333, 528, 1218, 588, 882, 252, 117, 26, 1], [4, 9, 139, 324, 564, 1134, 714, 756, 336, 81, 35, 0], [4, 10, 127, 387, 372, 1512, 210, 1218, 48, 198, 7, 3], [4, 10, 128, 378, 408, 1428, 336, 1092, 132, 162, 16, 2], [4, 10, 129, 369, 444, 1344, 462, 966, 216, 126, 25, 1], [4, 10, 130, 360, 480, 1260, 588, 840, 300, 90, 34, 0], [4, 11, 118, 423, 288, 1638, 84, 1302, 12, 207, 6, 3], [4, 11, 119, 414, 324, 1554, 210, 1176, 96, 171, 15, 2], [4, 11, 120, 405, 360, 1470, 336, 1050, 180, 135, 24, 1], [4, 11, 121, 396, 396, 1386, 462, 924, 264, 99, 33, 0], [4, 12, 110, 450, 240, 1680, 84, 1260, 60, 180, 14, 2], [4, 12, 111, 441, 276, 1596, 210, 1134, 144, 144, 23, 1], [4, 12, 112, 432, 312, 1512, 336, 1008, 228, 108, 32, 0], [4, 13, 102, 477, 192, 1722, 84, 1218, 108, 153, 22, 1], [4, 13, 103, 468, 228, 1638, 210, 1092, 192, 117, 31, 0], [4, 14, 94, 504, 144, 1764, 84, 1176, 156, 126, 30, 0], [5, 0, 172, 267, 582, 1260, 420, 1098, 93, 188, 8, 3], [5, 0, 173, 258, 618, 1176, 546, 972, 177, 152, 17, 2], [5, 0, 174, 249, 654, 1092, 672, 846, 261, 116, 26, 1], [5, 0, 175, 240, 690, 1008, 798, 720, 345, 80, 35, 0], [5, 1, 163, 303, 498, 1386, 294, 1182, 57, 197, 7, 3], [5, 1, 164, 294, 534, 1302, 420, 1056, 141, 161, 16, 2], [5, 1, 165, 285, 570, 1218, 546, 930, 225, 125, 25, 1], [5, 1, 166, 276, 606, 1134, 672, 804, 309, 89, 34, 0], [5, 2, 154, 339, 414, 1512, 168, 1266, 21, 206, 6, 3], [5, 2, 155, 330, 450, 1428, 294, 1140, 105, 170, 15, 2], [5, 2, 156, 321, 486, 1344, 420, 1014, 189, 134, 24, 1], [5, 2, 157, 312, 522, 1260, 546, 888, 273, 98, 33, 0], [5, 3, 146, 366, 366, 1554, 168, 1224, 69, 179, 14, 2], [5, 3, 147, 357, 402, 1470, 294, 1098, 153, 143, 23, 1], [5, 3, 148, 348, 438, 1386, 420, 972, 237, 107, 32, 0], [5, 4, 137, 402, 282, 1680, 42, 1308, 33, 188, 13, 2], [5, 4, 138, 393, 318, 1596, 168, 1182, 117, 152, 22, 1], [5, 4, 139, 384, 354, 1512, 294, 1056, 201, 116, 31, 0], [5, 5, 129, 429, 234, 1722, 42, 1266, 81, 161, 21, 1], [5, 5, 130, 420, 270, 1638, 168, 1140, 165, 125, 30, 0], [5, 6, 121, 456, 186, 1764, 42, 1224, 129, 134, 29, 0]}
(12, 4096, 8) has 1485 possible DDs: {[0, 9, 123, 4, 864, 558, 714, 1332, 36, 401, 51, 0, 4], [0, 10, 114, 40, 780, 684, 588, 1416, 0, 410, 50, 0, 4], [0, 10, 116, 23, 843, 552, 756, 1290, 42, 422, 32, 7, 3], [0, 10, 117, 14, 879, 468, 882, 1164, 126, 386, 41, 6, 3], [0, 10, 117, 15, 870, 504, 798, 1290, 0, 470, 5, 15, 2], [0, 10, 118, 5, 915, 384, 1008, 1038, 210, 350, 50, 5, 3], [0, 10, 118, 6, 906, 420, 924, 1164, 84, 434, 14, 14, 2], [0, 11, 107, 59, 759, 678, 630, 1374, 6, 431, 31, 7, 3], [0, 11, 108, 50, 795, 594, 756, 1248, 90, 395, 40, 6, 3], [0, 11, 109, 41, 831, 510, 882, 1122, 174, 359, 49, 5, 3], [0, 11, 109, 42, 822, 546, 798, 1248, 48, 443, 13, 14, 2], [0, 11, 110, 32, 867, 426, 1008, 996, 258, 323, 58, 4, 3], [0, 11, 110, 33, 858, 462, 924, 1122, 132, 407, 22, 13, 2], [0, 11, 111, 23, 903, 342, 1134, 870, 342, 287, 67, 3, 3], [0, 11, 111, 24, 894, 378, 1050, 996, 216, 371, 31, 12, 2], [0, 11, 112, 14, 939, 258, 1260, 744, 426, 251, 76, 2, 3], [0, 11, 112, 15, 930, 294, 1176, 870, 300, 335, 40, 11, 2], [0, 11, 112, 16, 921, 330, 1092, 996, 174, 419, 4, 20, 1], [0, 11, 113, 5, 975, 174, 1386, 618, 510, 215, 85, 1, 3], [0, 11, 113, 6, 966, 210, 1302, 744, 384, 299, 49, 10, 2], [0, 11, 113, 7, 957, 246, 1218, 870, 258, 383, 13, 19, 1], [0, 12, 99, 86, 711, 720, 630, 1332, 54, 404, 39, 6, 3], [0, 12, 100, 77, 747, 636, 756, 1206, 138, 368, 48, 5, 3], [0, 12, 100, 78, 738, 672, 672, 1332, 12, 452, 12, 14, 2], [0, 12, 101, 68, 783, 552, 882, 1080, 222, 332, 57, 4, 3], [0, 12, 101, 69, 774, 588, 798, 1206, 96, 416, 21, 13, 2], [0, 12, 102, 59, 819, 468, 1008, 954, 306, 296, 66, 3, 3], [0, 12, 102, 60, 810, 504, 924, 1080, 180, 380, 30, 12, 2], [0, 12, 103, 50, 855, 384, 1134, 828, 390, 260, 75, 2, 3], [0, 12, 103, 51, 846, 420, 1050, 954, 264, 344, 39, 11, 2], [0, 12, 103, 52, 837, 456, 966, 1080, 138, 428, 3, 20, 1], [0, 12, 104, 41, 891, 300, 1260, 702, 474, 224, 84, 1, 3], [0, 12, 104, 42, 882, 336, 1176, 828, 348, 308, 48, 10, 2], [0, 12, 104, 43, 873, 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(13, 4096, 8) has 5475 possible DDs: {[0, 0, 92, 24, 361, 1083, 12, 1548, 510, 154, 304, 4, 1, 3], [0, 0, 93, 15, 397, 999, 138, 1422, 594, 118, 313, 3, 1, 3], [0, 0, 93, 16, 388, 1035, 54, 1548, 468, 202, 277, 12, 0, 3], [0, 0, 94, 6, 433, 915, 264, 1296, 678, 82, 322, 2, 1, 3], [0, 0, 94, 7, 424, 951, 180, 1422, 552, 166, 286, 11, 0, 3], [0, 0, 95, 1, 434, 966, 90, 1590, 384, 256, 271, 1, 6, 2], [0, 0, 95, 2, 425, 1002, 6, 1716, 258, 340, 235, 10, 5, 2], [0, 1, 84, 51, 313, 1125, 12, 1506, 558, 127, 312, 3, 1, 3], [0, 1, 85, 42, 349, 1041, 138, 1380, 642, 91, 321, 2, 1, 3], [0, 1, 85, 43, 340, 1077, 54, 1506, 516, 175, 285, 11, 0, 3], [0, 1, 86, 33, 385, 957, 264, 1254, 726, 55, 330, 1, 1, 3], [0, 1, 86, 34, 376, 993, 180, 1380, 600, 139, 294, 10, 0, 3], [0, 1, 87, 24, 421, 873, 390, 1128, 810, 19, 339, 0, 1, 3], [0, 1, 87, 25, 412, 909, 306, 1254, 684, 103, 303, 9, 0, 3], [0, 1, 87, 28, 386, 1008, 90, 1548, 432, 229, 279, 0, 6, 2], [0, 1, 87, 29, 377, 1044, 6, 1674, 306, 313, 243, 9, 5, 2], [0, 1, 88, 16, 448, 825, 432, 1128, 768, 67, 312, 8, 0, 3], [0, 1, 88, 20, 413, 960, 132, 1548, 390, 277, 252, 8, 5, 2], [0, 1, 88, 21, 404, 996, 48, 1674, 264, 361, 216, 17, 4, 2], [0, 1, 89, 7, 484, 741, 558, 1002, 852, 31, 321, 7, 0, 3], [0, 1, 89, 11, 449, 876, 258, 1422, 474, 241, 261, 7, 5, 2], [0, 1, 89, 12, 440, 912, 174, 1548, 348, 325, 225, 16, 4, 2], [0, 1, 89, 13, 431, 948, 90, 1674, 222, 409, 189, 25, 3, 2], [0, 1, 89, 14, 422, 984, 6, 1800, 96, 493, 153, 34, 2, 2], [0, 1, 90, 2, 485, 792, 384, 1296, 558, 205, 270, 6, 5, 2], [0, 1, 90, 3, 476, 828, 300, 1422, 432, 289, 234, 15, 4, 2], [0, 1, 90, 4, 467, 864, 216, 1548, 306, 373, 198, 24, 3, 2], [0, 1, 90, 5, 458, 900, 132, 1674, 180, 457, 162, 33, 2, 2], [0, 1, 90, 6, 449, 936, 48, 1800, 54, 541, 126, 42, 1, 2], [0, 1, 90, 6, 450, 927, 84, 1716, 180, 415, 210, 6, 10, 1], [0, 1, 90, 7, 441, 963, 0, 1842, 54, 499, 174, 15, 9, 1], [0, 2, 76, 78, 265, 1167, 12, 1464, 606, 100, 320, 2, 1, 3], [0, 2, 77, 69, 301, 1083, 138, 1338, 690, 64, 329, 1, 1, 3], [0, 2, 77, 70, 292, 1119, 54, 1464, 564, 148, 293, 10, 0, 3], [0, 2, 78, 60, 337, 999, 264, 1212, 774, 28, 338, 0, 1, 3], [0, 2, 78, 61, 328, 1035, 180, 1338, 648, 112, 302, 9, 0, 3], [0, 2, 79, 52, 364, 951, 306, 1212, 732, 76, 311, 8, 0, 3], [0, 2, 79, 56, 329, 1086, 6, 1632, 354, 286, 251, 8, 5, 2], [0, 2, 80, 43, 400, 867, 432, 1086, 816, 40, 320, 7, 0, 3], [0, 2, 80, 47, 365, 1002, 132, 1506, 438, 250, 260, 7, 5, 2], [0, 2, 80, 48, 356, 1038, 48, 1632, 312, 334, 224, 16, 4, 2], [0, 2, 81, 34, 436, 783, 558, 960, 900, 4, 329, 6, 0, 3], [0, 2, 81, 38, 401, 918, 258, 1380, 522, 214, 269, 6, 5, 2], [0, 2, 81, 39, 392, 954, 174, 1506, 396, 298, 233, 15, 4, 2], [0, 2, 81, 40, 383, 990, 90, 1632, 270, 382, 197, 24, 3, 2], [0, 2, 81, 41, 374, 1026, 6, 1758, 144, 466, 161, 33, 2, 2], [0, 2, 82, 29, 437, 834, 384, 1254, 606, 178, 278, 5, 5, 2], [0, 2, 82, 30, 428, 870, 300, 1380, 480, 262, 242, 14, 4, 2], [0, 2, 82, 31, 419, 906, 216, 1506, 354, 346, 206, 23, 3, 2], [0, 2, 82, 32, 410, 942, 132, 1632, 228, 430, 170, 32, 2, 2], [0, 2, 82, 33, 401, 978, 48, 1758, 102, 514, 134, 41, 1, 2], [0, 2, 82, 33, 402, 969, 84, 1674, 228, 388, 218, 5, 10, 1], [0, 2, 82, 34, 393, 1005, 0, 1800, 102, 472, 182, 14, 9, 1], [0, 2, 83, 20, 473, 750, 510, 1128, 690, 142, 287, 4, 5, 2], [0, 2, 83, 21, 464, 786, 426, 1254, 564, 226, 251, 13, 4, 2], [0, 2, 83, 22, 455, 822, 342, 1380, 438, 310, 215, 22, 3, 2], [0, 2, 83, 23, 446, 858, 258, 1506, 312, 394, 179, 31, 2, 2], [0, 2, 83, 24, 437, 894, 174, 1632, 186, 478, 143, 40, 1, 2], [0, 2, 83, 24, 438, 885, 210, 1548, 312, 352, 227, 4, 10, 1], [0, 2, 83, 25, 428, 930, 90, 1758, 60, 562, 107, 49, 0, 2], [0, 2, 83, 25, 429, 921, 126, 1674, 186, 436, 191, 13, 9, 1], [0, 2, 83, 26, 420, 957, 42, 1800, 60, 520, 155, 22, 8, 1], [0, 2, 84, 11, 509, 666, 636, 1002, 774, 106, 296, 3, 5, 2], [0, 2, 84, 12, 500, 702, 552, 1128, 648, 190, 260, 12, 4, 2], [0, 2, 84, 13, 491, 738, 468, 1254, 522, 274, 224, 21, 3, 2], [0, 2, 84, 14, 482, 774, 384, 1380, 396, 358, 188, 30, 2, 2], [0, 2, 84, 15, 473, 810, 300, 1506, 270, 442, 152, 39, 1, 2], [0, 2, 84, 15, 474, 801, 336, 1422, 396, 316, 236, 3, 10, 1], [0, 2, 84, 16, 464, 846, 216, 1632, 144, 526, 116, 48, 0, 2], [0, 2, 84, 16, 465, 837, 252, 1548, 270, 400, 200, 12, 9, 1], [0, 2, 84, 17, 456, 873, 168, 1674, 144, 484, 164, 21, 8, 1], [0, 2, 84, 18, 447, 909, 84, 1800, 18, 568, 128, 30, 7, 1], [0, 2, 84, 19, 439, 936, 36, 1842, 18, 526, 176, 3, 15, 0], [0, 2, 85, 2, 545, 582, 762, 876, 858, 70, 305, 2, 5, 2], [0, 2, 85, 3, 536, 618, 678, 1002, 732, 154, 269, 11, 4, 2], [0, 2, 85, 4, 527, 654, 594, 1128, 606, 238, 233, 20, 3, 2], [0, 2, 85, 5, 518, 690, 510, 1254, 480, 322, 197, 29, 2, 2], [0, 2, 85, 6, 509, 726, 426, 1380, 354, 406, 161, 38, 1, 2], [0, 2, 85, 6, 510, 717, 462, 1296, 480, 280, 245, 2, 10, 1], [0, 2, 85, 7, 500, 762, 342, 1506, 228, 490, 125, 47, 0, 2], [0, 2, 85, 7, 501, 753, 378, 1422, 354, 364, 209, 11, 9, 1], [0, 2, 85, 8, 492, 789, 294, 1548, 228, 448, 173, 20, 8, 1], [0, 2, 85, 9, 483, 825, 210, 1674, 102, 532, 137, 29, 7, 1], [0, 2, 85, 10, 475, 852, 162, 1716, 102, 490, 185, 2, 15, 0], [0, 2, 86, 0, 519, 741, 336, 1548, 186, 496, 146, 28, 7, 1], [0, 2, 86, 1, 510, 777, 252, 1674, 60, 580, 110, 37, 6, 1], [0, 2, 86, 1, 511, 768, 288, 1590, 186, 454, 194, 1, 15, 0], [0, 2, 86, 2, 502, 804, 204, 1716, 60, 538, 158, 10, 14, 0], [0, 3, 68, 105, 217, 1209, 12, 1422, 654, 73, 328, 1, 1, 3], [0, 3, 69, 96, 253, 1125, 138, 1296, 738, 37, 337, 0, 1, 3], [0, 3, 69, 97, 244, 1161, 54, 1422, 612, 121, 301, 9, 0, 3], [0, 3, 70, 88, 280, 1077, 180, 1296, 696, 85, 310, 8, 0, 3], [0, 3, 71, 79, 316, 993, 306, 1170, 780, 49, 319, 7, 0, 3], [0, 3, 71, 83, 281, 1128, 6, 1590, 402, 259, 259, 7, 5, 2], [0, 3, 72, 70, 352, 909, 432, 1044, 864, 13, 328, 6, 0, 3], [0, 3, 72, 74, 317, 1044, 132, 1464, 486, 223, 268, 6, 5, 2], [0, 3, 72, 75, 308, 1080, 48, 1590, 360, 307, 232, 15, 4, 2], [0, 3, 73, 65, 353, 960, 258, 1338, 570, 187, 277, 5, 5, 2], [0, 3, 73, 66, 344, 996, 174, 1464, 444, 271, 241, 14, 4, 2], [0, 3, 73, 67, 335, 1032, 90, 1590, 318, 355, 205, 23, 3, 2], [0, 3, 73, 68, 326, 1068, 6, 1716, 192, 439, 169, 32, 2, 2], [0, 3, 74, 56, 389, 876, 384, 1212, 654, 151, 286, 4, 5, 2], [0, 3, 74, 57, 380, 912, 300, 1338, 528, 235, 250, 13, 4, 2], [0, 3, 74, 58, 371, 948, 216, 1464, 402, 319, 214, 22, 3, 2], [0, 3, 74, 59, 362, 984, 132, 1590, 276, 403, 178, 31, 2, 2], [0, 3, 74, 60, 353, 1020, 48, 1716, 150, 487, 142, 40, 1, 2], [0, 3, 74, 60, 354, 1011, 84, 1632, 276, 361, 226, 4, 10, 1], [0, 3, 74, 61, 345, 1047, 0, 1758, 150, 445, 190, 13, 9, 1], [0, 3, 75, 47, 425, 792, 510, 1086, 738, 115, 295, 3, 5, 2], [0, 3, 75, 48, 416, 828, 426, 1212, 612, 199, 259, 12, 4, 2], [0, 3, 75, 49, 407, 864, 342, 1338, 486, 283, 223, 21, 3, 2], [0, 3, 75, 50, 398, 900, 258, 1464, 360, 367, 187, 30, 2, 2], [0, 3, 75, 51, 389, 936, 174, 1590, 234, 451, 151, 39, 1, 2], [0, 3, 75, 51, 390, 927, 210, 1506, 360, 325, 235, 3, 10, 1], [0, 3, 75, 52, 380, 972, 90, 1716, 108, 535, 115, 48, 0, 2], [0, 3, 75, 52, 381, 963, 126, 1632, 234, 409, 199, 12, 9, 1], [0, 3, 75, 53, 372, 999, 42, 1758, 108, 493, 163, 21, 8, 1], [0, 3, 76, 38, 461, 708, 636, 960, 822, 79, 304, 2, 5, 2], [0, 3, 76, 39, 452, 744, 552, 1086, 696, 163, 268, 11, 4, 2], [0, 3, 76, 40, 443, 780, 468, 1212, 570, 247, 232, 20, 3, 2], [0, 3, 76, 41, 434, 816, 384, 1338, 444, 331, 196, 29, 2, 2], [0, 3, 76, 42, 425, 852, 300, 1464, 318, 415, 160, 38, 1, 2], [0, 3, 76, 42, 426, 843, 336, 1380, 444, 289, 244, 2, 10, 1], [0, 3, 76, 43, 416, 888, 216, 1590, 192, 499, 124, 47, 0, 2], [0, 3, 76, 43, 417, 879, 252, 1506, 318, 373, 208, 11, 9, 1], [0, 3, 76, 44, 408, 915, 168, 1632, 192, 457, 172, 20, 8, 1], [0, 3, 76, 45, 399, 951, 84, 1758, 66, 541, 136, 29, 7, 1], [0, 3, 76, 46, 391, 978, 36, 1800, 66, 499, 184, 2, 15, 0], [0, 3, 77, 29, 497, 624, 762, 834, 906, 43, 313, 1, 5, 2], [0, 3, 77, 30, 488, 660, 678, 960, 780, 127, 277, 10, 4, 2], [0, 3, 77, 31, 479, 696, 594, 1086, 654, 211, 241, 19, 3, 2], [0, 3, 77, 32, 470, 732, 510, 1212, 528, 295, 205, 28, 2, 2], [0, 3, 77, 33, 461, 768, 426, 1338, 402, 379, 169, 37, 1, 2], [0, 3, 77, 33, 462, 759, 462, 1254, 528, 253, 253, 1, 10, 1], [0, 3, 77, 34, 452, 804, 342, 1464, 276, 463, 133, 46, 0, 2], [0, 3, 77, 34, 453, 795, 378, 1380, 402, 337, 217, 10, 9, 1], [0, 3, 77, 35, 444, 831, 294, 1506, 276, 421, 181, 19, 8, 1], [0, 3, 77, 36, 435, 867, 210, 1632, 150, 505, 145, 28, 7, 1], [0, 3, 77, 37, 426, 903, 126, 1758, 24, 589, 109, 37, 6, 1], [0, 3, 77, 37, 427, 894, 162, 1674, 150, 463, 193, 1, 15, 0], [0, 3, 77, 38, 418, 930, 78, 1800, 24, 547, 157, 10, 14, 0], [0, 3, 78, 20, 533, 540, 888, 708, 990, 7, 322, 0, 5, 2], [0, 3, 78, 21, 524, 576, 804, 834, 864, 91, 286, 9, 4, 2], [0, 3, 78, 22, 515, 612, 720, 960, 738, 175, 250, 18, 3, 2], [0, 3, 78, 23, 506, 648, 636, 1086, 612, 259, 214, 27, 2, 2], [0, 3, 78, 24, 497, 684, 552, 1212, 486, 343, 178, 36, 1, 2], [0, 3, 78, 24, 498, 675, 588, 1128, 612, 217, 262, 0, 10, 1], [0, 3, 78, 25, 488, 720, 468, 1338, 360, 427, 142, 45, 0, 2], [0, 3, 78, 25, 489, 711, 504, 1254, 486, 301, 226, 9, 9, 1], [0, 3, 78, 26, 480, 747, 420, 1380, 360, 385, 190, 18, 8, 1], [0, 3, 78, 27, 471, 783, 336, 1506, 234, 469, 154, 27, 7, 1], [0, 3, 78, 28, 462, 819, 252, 1632, 108, 553, 118, 36, 6, 1], [0, 3, 78, 28, 463, 810, 288, 1548, 234, 427, 202, 0, 15, 0], [0, 3, 78, 29, 454, 846, 204, 1674, 108, 511, 166, 9, 14, 0], [0, 3, 79, 12, 560, 492, 930, 708, 948, 55, 295, 8, 4, 2], [0, 3, 79, 13, 551, 528, 846, 834, 822, 139, 259, 17, 3, 2], [0, 3, 79, 14, 542, 564, 762, 960, 696, 223, 223, 26, 2, 2], [0, 3, 79, 15, 533, 600, 678, 1086, 570, 307, 187, 35, 1, 2], [0, 3, 79, 16, 524, 636, 594, 1212, 444, 391, 151, 44, 0, 2], [0, 3, 79, 16, 525, 627, 630, 1128, 570, 265, 235, 8, 9, 1], [0, 3, 79, 17, 516, 663, 546, 1254, 444, 349, 199, 17, 8, 1], [0, 3, 79, 18, 507, 699, 462, 1380, 318, 433, 163, 26, 7, 1], [0, 3, 79, 19, 498, 735, 378, 1506, 192, 517, 127, 35, 6, 1], [0, 3, 79, 20, 489, 771, 294, 1632, 66, 601, 91, 44, 5, 1], [0, 3, 79, 20, 490, 762, 330, 1548, 192, 475, 175, 8, 14, 0], [0, 3, 79, 21, 481, 798, 246, 1674, 66, 559, 139, 17, 13, 0], [0, 3, 80, 3, 596, 408, 1056, 582, 1032, 19, 304, 7, 4, 2], [0, 3, 80, 4, 587, 444, 972, 708, 906, 103, 268, 16, 3, 2], [0, 3, 80, 5, 578, 480, 888, 834, 780, 187, 232, 25, 2, 2], [0, 3, 80, 6, 569, 516, 804, 960, 654, 271, 196, 34, 1, 2], [0, 3, 80, 7, 560, 552, 720, 1086, 528, 355, 160, 43, 0, 2], [0, 3, 80, 7, 561, 543, 756, 1002, 654, 229, 244, 7, 9, 1], [0, 3, 80, 8, 552, 579, 672, 1128, 528, 313, 208, 16, 8, 1], [0, 3, 80, 9, 543, 615, 588, 1254, 402, 397, 172, 25, 7, 1], [0, 3, 80, 10, 534, 651, 504, 1380, 276, 481, 136, 34, 6, 1], [0, 3, 80, 11, 525, 687, 420, 1506, 150, 565, 100, 43, 5, 1], [0, 3, 80, 11, 526, 678, 456, 1422, 276, 439, 184, 7, 14, 0], [0, 3, 80, 12, 516, 723, 336, 1632, 24, 649, 64, 52, 4, 1], [0, 3, 80, 12, 517, 714, 372, 1548, 150, 523, 148, 16, 13, 0], [0, 3, 80, 13, 508, 750, 288, 1674, 24, 607, 112, 25, 12, 0], [0, 3, 81, 0, 579, 531, 714, 1128, 486, 361, 181, 24, 7, 1], [0, 3, 81, 1, 570, 567, 630, 1254, 360, 445, 145, 33, 6, 1], [0, 3, 81, 2, 561, 603, 546, 1380, 234, 529, 109, 42, 5, 1], [0, 3, 81, 2, 562, 594, 582, 1296, 360, 403, 193, 6, 14, 0], [0, 3, 81, 3, 552, 639, 462, 1506, 108, 613, 73, 51, 4, 1], [0, 3, 81, 3, 553, 630, 498, 1422, 234, 487, 157, 15, 13, 0], [0, 3, 81, 4, 544, 666, 414, 1548, 108, 571, 121, 24, 12, 0], [0, 4, 60, 132, 169, 1251, 12, 1380, 702, 46, 336, 0, 1, 3], [0, 4, 61, 124, 196, 1203, 54, 1380, 660, 94, 309, 8, 0, 3], [0, 4, 62, 115, 232, 1119, 180, 1254, 744, 58, 318, 7, 0, 3], [0, 4, 63, 106, 268, 1035, 306, 1128, 828, 22, 327, 6, 0, 3], [0, 4, 63, 110, 233, 1170, 6, 1548, 450, 232, 267, 6, 5, 2], [0, 4, 64, 101, 269, 1086, 132, 1422, 534, 196, 276, 5, 5, 2], [0, 4, 64, 102, 260, 1122, 48, 1548, 408, 280, 240, 14, 4, 2], [0, 4, 65, 92, 305, 1002, 258, 1296, 618, 160, 285, 4, 5, 2], [0, 4, 65, 93, 296, 1038, 174, 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