------- (13, 3584, 8) ALL distance distributions for INTERNAL point (8, 3584, 8) has 1 possible DDs: {[14, 112, 392, 784, 980, 784, 392, 112, 14]} (9, 3584, 8) has 14 possible DDs: {[1, 117, 36, 1092, 126, 1638, 84, 468, 9, 13], [2, 108, 72, 1008, 252, 1512, 168, 432, 18, 12], [3, 99, 108, 924, 378, 1386, 252, 396, 27, 11], [4, 90, 144, 840, 504, 1260, 336, 360, 36, 10], [5, 81, 180, 756, 630, 1134, 420, 324, 45, 9], [6, 72, 216, 672, 756, 1008, 504, 288, 54, 8], [7, 63, 252, 588, 882, 882, 588, 252, 63, 7], [8, 54, 288, 504, 1008, 756, 672, 216, 72, 6], [9, 45, 324, 420, 1134, 630, 756, 180, 81, 5], [10, 36, 360, 336, 1260, 504, 840, 144, 90, 4], [11, 27, 396, 252, 1386, 378, 924, 108, 99, 3], [12, 18, 432, 168, 1512, 252, 1008, 72, 108, 2], [13, 9, 468, 84, 1638, 126, 1092, 36, 117, 1], [14, 0, 504, 0, 1764, 0, 1176, 0, 126, 0]} (10, 3584, 8) has 56 possible DDs: {[1, 54, 99, 504, 714, 756, 966, 216, 261, 6, 7], [1, 55, 90, 540, 630, 882, 840, 300, 225, 15, 6], [1, 56, 81, 576, 546, 1008, 714, 384, 189, 24, 5], [1, 57, 72, 612, 462, 1134, 588, 468, 153, 33, 4], [1, 58, 63, 648, 378, 1260, 462, 552, 117, 42, 3], [1, 59, 54, 684, 294, 1386, 336, 636, 81, 51, 2], [1, 60, 45, 720, 210, 1512, 210, 720, 45, 60, 1], [1, 61, 36, 756, 126, 1638, 84, 804, 9, 69, 0], [2, 45, 135, 420, 840, 630, 1050, 180, 270, 5, 7], [2, 46, 126, 456, 756, 756, 924, 264, 234, 14, 6], [2, 47, 117, 492, 672, 882, 798, 348, 198, 23, 5], [2, 48, 108, 528, 588, 1008, 672, 432, 162, 32, 4], [2, 49, 99, 564, 504, 1134, 546, 516, 126, 41, 3], [2, 50, 90, 600, 420, 1260, 420, 600, 90, 50, 2], [2, 51, 81, 636, 336, 1386, 294, 684, 54, 59, 1], [2, 52, 72, 672, 252, 1512, 168, 768, 18, 68, 0], [3, 36, 171, 336, 966, 504, 1134, 144, 279, 4, 7], [3, 37, 162, 372, 882, 630, 1008, 228, 243, 13, 6], [3, 38, 153, 408, 798, 756, 882, 312, 207, 22, 5], [3, 39, 144, 444, 714, 882, 756, 396, 171, 31, 4], [3, 40, 135, 480, 630, 1008, 630, 480, 135, 40, 3], [3, 41, 126, 516, 546, 1134, 504, 564, 99, 49, 2], [3, 42, 117, 552, 462, 1260, 378, 648, 63, 58, 1], [3, 43, 108, 588, 378, 1386, 252, 732, 27, 67, 0], [4, 27, 207, 252, 1092, 378, 1218, 108, 288, 3, 7], [4, 28, 198, 288, 1008, 504, 1092, 192, 252, 12, 6], [4, 29, 189, 324, 924, 630, 966, 276, 216, 21, 5], [4, 30, 180, 360, 840, 756, 840, 360, 180, 30, 4], [4, 31, 171, 396, 756, 882, 714, 444, 144, 39, 3], [4, 32, 162, 432, 672, 1008, 588, 528, 108, 48, 2], [4, 33, 153, 468, 588, 1134, 462, 612, 72, 57, 1], [4, 34, 144, 504, 504, 1260, 336, 696, 36, 66, 0], [5, 18, 243, 168, 1218, 252, 1302, 72, 297, 2, 7], [5, 19, 234, 204, 1134, 378, 1176, 156, 261, 11, 6], [5, 20, 225, 240, 1050, 504, 1050, 240, 225, 20, 5], [5, 21, 216, 276, 966, 630, 924, 324, 189, 29, 4], [5, 22, 207, 312, 882, 756, 798, 408, 153, 38, 3], [5, 23, 198, 348, 798, 882, 672, 492, 117, 47, 2], [5, 24, 189, 384, 714, 1008, 546, 576, 81, 56, 1], [5, 25, 180, 420, 630, 1134, 420, 660, 45, 65, 0], [6, 9, 279, 84, 1344, 126, 1386, 36, 306, 1, 7], [6, 10, 270, 120, 1260, 252, 1260, 120, 270, 10, 6], [6, 11, 261, 156, 1176, 378, 1134, 204, 234, 19, 5], [6, 12, 252, 192, 1092, 504, 1008, 288, 198, 28, 4], [6, 13, 243, 228, 1008, 630, 882, 372, 162, 37, 3], [6, 14, 234, 264, 924, 756, 756, 456, 126, 46, 2], [6, 15, 225, 300, 840, 882, 630, 540, 90, 55, 1], [6, 16, 216, 336, 756, 1008, 504, 624, 54, 64, 0], [7, 0, 315, 0, 1470, 0, 1470, 0, 315, 0, 7], [7, 1, 306, 36, 1386, 126, 1344, 84, 279, 9, 6], [7, 2, 297, 72, 1302, 252, 1218, 168, 243, 18, 5], [7, 3, 288, 108, 1218, 378, 1092, 252, 207, 27, 4], [7, 4, 279, 144, 1134, 504, 966, 336, 171, 36, 3], [7, 5, 270, 180, 1050, 630, 840, 420, 135, 45, 2], [7, 6, 261, 216, 966, 756, 714, 504, 99, 54, 1], [7, 7, 252, 252, 882, 882, 588, 588, 63, 63, 0]} (11, 3584, 8) has 200 possible DDs: {[1, 18, 139, 84, 1074, 84, 1470, 216, 381, 106, 7, 4], [1, 18, 140, 75, 1110, 0, 1596, 90, 465, 70, 16, 3], [1, 19, 130, 120, 990, 210, 1344, 300, 345, 115, 6, 4], [1, 19, 131, 111, 1026, 126, 1470, 174, 429, 79, 15, 3], [1, 19, 132, 102, 1062, 42, 1596, 48, 513, 43, 24, 2], [1, 20, 121, 156, 906, 336, 1218, 384, 309, 124, 5, 4], [1, 20, 122, 147, 942, 252, 1344, 258, 393, 88, 14, 3], [1, 20, 123, 138, 978, 168, 1470, 132, 477, 52, 23, 2], [1, 20, 124, 129, 1014, 84, 1596, 6, 561, 16, 32, 1], [1, 21, 112, 192, 822, 462, 1092, 468, 273, 133, 4, 4], [1, 21, 113, 183, 858, 378, 1218, 342, 357, 97, 13, 3], [1, 21, 114, 174, 894, 294, 1344, 216, 441, 61, 22, 2], [1, 21, 115, 165, 930, 210, 1470, 90, 525, 25, 31, 1], [1, 22, 103, 228, 738, 588, 966, 552, 237, 142, 3, 4], [1, 22, 104, 219, 774, 504, 1092, 426, 321, 106, 12, 3], [1, 22, 105, 210, 810, 420, 1218, 300, 405, 70, 21, 2], [1, 22, 106, 201, 846, 336, 1344, 174, 489, 34, 30, 1], [1, 23, 94, 264, 654, 714, 840, 636, 201, 151, 2, 4], [1, 23, 95, 255, 690, 630, 966, 510, 285, 115, 11, 3], [1, 23, 96, 246, 726, 546, 1092, 384, 369, 79, 20, 2], [1, 23, 97, 237, 762, 462, 1218, 258, 453, 43, 29, 1], [1, 23, 98, 228, 798, 378, 1344, 132, 537, 7, 38, 0], [1, 24, 85, 300, 570, 840, 714, 720, 165, 160, 1, 4], [1, 24, 86, 291, 606, 756, 840, 594, 249, 124, 10, 3], [1, 24, 87, 282, 642, 672, 966, 468, 333, 88, 19, 2], [1, 24, 88, 273, 678, 588, 1092, 342, 417, 52, 28, 1], [1, 24, 89, 264, 714, 504, 1218, 216, 501, 16, 37, 0], [1, 25, 76, 336, 486, 966, 588, 804, 129, 169, 0, 4], [1, 25, 77, 327, 522, 882, 714, 678, 213, 133, 9, 3], [1, 25, 78, 318, 558, 798, 840, 552, 297, 97, 18, 2], [1, 25, 79, 309, 594, 714, 966, 426, 381, 61, 27, 1], [1, 25, 80, 300, 630, 630, 1092, 300, 465, 25, 36, 0], [1, 26, 68, 363, 438, 1008, 588, 762, 177, 142, 8, 3], [1, 26, 69, 354, 474, 924, 714, 636, 261, 106, 17, 2], [1, 26, 70, 345, 510, 840, 840, 510, 345, 70, 26, 1], [1, 26, 71, 336, 546, 756, 966, 384, 429, 34, 35, 0], [1, 27, 59, 399, 354, 1134, 462, 846, 141, 151, 7, 3], [1, 27, 60, 390, 390, 1050, 588, 720, 225, 115, 16, 2], [1, 27, 61, 381, 426, 966, 714, 594, 309, 79, 25, 1], [1, 27, 62, 372, 462, 882, 840, 468, 393, 43, 34, 0], [1, 28, 50, 435, 270, 1260, 336, 930, 105, 160, 6, 3], [1, 28, 51, 426, 306, 1176, 462, 804, 189, 124, 15, 2], [1, 28, 52, 417, 342, 1092, 588, 678, 273, 88, 24, 1], [1, 28, 53, 408, 378, 1008, 714, 552, 357, 52, 33, 0], [1, 29, 41, 471, 186, 1386, 210, 1014, 69, 169, 5, 3], [1, 29, 42, 462, 222, 1302, 336, 888, 153, 133, 14, 2], [1, 29, 43, 453, 258, 1218, 462, 762, 237, 97, 23, 1], [1, 29, 44, 444, 294, 1134, 588, 636, 321, 61, 32, 0], [1, 30, 32, 507, 102, 1512, 84, 1098, 33, 178, 4, 3], [1, 30, 33, 498, 138, 1428, 210, 972, 117, 142, 13, 2], [1, 30, 34, 489, 174, 1344, 336, 846, 201, 106, 22, 1], [1, 30, 35, 480, 210, 1260, 462, 720, 285, 70, 31, 0], [1, 31, 24, 534, 54, 1554, 84, 1056, 81, 151, 12, 2], [1, 31, 25, 525, 90, 1470, 210, 930, 165, 115, 21, 1], [1, 31, 26, 516, 126, 1386, 336, 804, 249, 79, 30, 0], [1, 32, 16, 561, 6, 1596, 84, 1014, 129, 124, 20, 1], [1, 32, 17, 552, 42, 1512, 210, 888, 213, 88, 29, 0], [2, 10, 166, 36, 1116, 84, 1428, 264, 354, 114, 6, 4], [2, 10, 167, 27, 1152, 0, 1554, 138, 438, 78, 15, 3], [2, 11, 157, 72, 1032, 210, 1302, 348, 318, 123, 5, 4], [2, 11, 158, 63, 1068, 126, 1428, 222, 402, 87, 14, 3], [2, 11, 159, 54, 1104, 42, 1554, 96, 486, 51, 23, 2], [2, 12, 148, 108, 948, 336, 1176, 432, 282, 132, 4, 4], [2, 12, 149, 99, 984, 252, 1302, 306, 366, 96, 13, 3], [2, 12, 150, 90, 1020, 168, 1428, 180, 450, 60, 22, 2], [2, 12, 151, 81, 1056, 84, 1554, 54, 534, 24, 31, 1], [2, 13, 139, 144, 864, 462, 1050, 516, 246, 141, 3, 4], [2, 13, 140, 135, 900, 378, 1176, 390, 330, 105, 12, 3], [2, 13, 141, 126, 936, 294, 1302, 264, 414, 69, 21, 2], [2, 13, 142, 117, 972, 210, 1428, 138, 498, 33, 30, 1], [2, 14, 130, 180, 780, 588, 924, 600, 210, 150, 2, 4], [2, 14, 131, 171, 816, 504, 1050, 474, 294, 114, 11, 3], [2, 14, 132, 162, 852, 420, 1176, 348, 378, 78, 20, 2], [2, 14, 133, 153, 888, 336, 1302, 222, 462, 42, 29, 1], [2, 14, 134, 144, 924, 252, 1428, 96, 546, 6, 38, 0], [2, 15, 121, 216, 696, 714, 798, 684, 174, 159, 1, 4], [2, 15, 122, 207, 732, 630, 924, 558, 258, 123, 10, 3], [2, 15, 123, 198, 768, 546, 1050, 432, 342, 87, 19, 2], [2, 15, 124, 189, 804, 462, 1176, 306, 426, 51, 28, 1], [2, 15, 125, 180, 840, 378, 1302, 180, 510, 15, 37, 0], [2, 16, 112, 252, 612, 840, 672, 768, 138, 168, 0, 4], [2, 16, 113, 243, 648, 756, 798, 642, 222, 132, 9, 3], [2, 16, 114, 234, 684, 672, 924, 516, 306, 96, 18, 2], [2, 16, 115, 225, 720, 588, 1050, 390, 390, 60, 27, 1], [2, 16, 116, 216, 756, 504, 1176, 264, 474, 24, 36, 0], [2, 17, 104, 279, 564, 882, 672, 726, 186, 141, 8, 3], [2, 17, 105, 270, 600, 798, 798, 600, 270, 105, 17, 2], [2, 17, 106, 261, 636, 714, 924, 474, 354, 69, 26, 1], [2, 17, 107, 252, 672, 630, 1050, 348, 438, 33, 35, 0], [2, 18, 95, 315, 480, 1008, 546, 810, 150, 150, 7, 3], [2, 18, 96, 306, 516, 924, 672, 684, 234, 114, 16, 2], [2, 18, 97, 297, 552, 840, 798, 558, 318, 78, 25, 1], [2, 18, 98, 288, 588, 756, 924, 432, 402, 42, 34, 0], [2, 19, 86, 351, 396, 1134, 420, 894, 114, 159, 6, 3], [2, 19, 87, 342, 432, 1050, 546, 768, 198, 123, 15, 2], [2, 19, 88, 333, 468, 966, 672, 642, 282, 87, 24, 1], [2, 19, 89, 324, 504, 882, 798, 516, 366, 51, 33, 0], [2, 20, 77, 387, 312, 1260, 294, 978, 78, 168, 5, 3], [2, 20, 78, 378, 348, 1176, 420, 852, 162, 132, 14, 2], [2, 20, 79, 369, 384, 1092, 546, 726, 246, 96, 23, 1], [2, 20, 80, 360, 420, 1008, 672, 600, 330, 60, 32, 0], [2, 21, 68, 423, 228, 1386, 168, 1062, 42, 177, 4, 3], [2, 21, 69, 414, 264, 1302, 294, 936, 126, 141, 13, 2], [2, 21, 70, 405, 300, 1218, 420, 810, 210, 105, 22, 1], [2, 21, 71, 396, 336, 1134, 546, 684, 294, 69, 31, 0], [2, 22, 59, 459, 144, 1512, 42, 1146, 6, 186, 3, 3], [2, 22, 60, 450, 180, 1428, 168, 1020, 90, 150, 12, 2], [2, 22, 61, 441, 216, 1344, 294, 894, 174, 114, 21, 1], [2, 22, 62, 432, 252, 1260, 420, 768, 258, 78, 30, 0], [2, 23, 51, 486, 96, 1554, 42, 1104, 54, 159, 11, 2], [2, 23, 52, 477, 132, 1470, 168, 978, 138, 123, 20, 1], [2, 23, 53, 468, 168, 1386, 294, 852, 222, 87, 29, 0], [2, 24, 43, 513, 48, 1596, 42, 1062, 102, 132, 19, 1], [2, 24, 44, 504, 84, 1512, 168, 936, 186, 96, 28, 0], [2, 25, 35, 540, 0, 1638, 42, 1020, 150, 105, 27, 0], [3, 3, 184, 24, 1074, 210, 1260, 396, 291, 131, 4, 4], [3, 3, 185, 15, 1110, 126, 1386, 270, 375, 95, 13, 3], [3, 3, 186, 6, 1146, 42, 1512, 144, 459, 59, 22, 2], [3, 4, 175, 60, 990, 336, 1134, 480, 255, 140, 3, 4], [3, 4, 176, 51, 1026, 252, 1260, 354, 339, 104, 12, 3], [3, 4, 177, 42, 1062, 168, 1386, 228, 423, 68, 21, 2], [3, 4, 178, 33, 1098, 84, 1512, 102, 507, 32, 30, 1], [3, 5, 166, 96, 906, 462, 1008, 564, 219, 149, 2, 4], [3, 5, 167, 87, 942, 378, 1134, 438, 303, 113, 11, 3], [3, 5, 168, 78, 978, 294, 1260, 312, 387, 77, 20, 2], [3, 5, 169, 69, 1014, 210, 1386, 186, 471, 41, 29, 1], [3, 5, 170, 60, 1050, 126, 1512, 60, 555, 5, 38, 0], [3, 6, 157, 132, 822, 588, 882, 648, 183, 158, 1, 4], [3, 6, 158, 123, 858, 504, 1008, 522, 267, 122, 10, 3], [3, 6, 159, 114, 894, 420, 1134, 396, 351, 86, 19, 2], [3, 6, 160, 105, 930, 336, 1260, 270, 435, 50, 28, 1], [3, 6, 161, 96, 966, 252, 1386, 144, 519, 14, 37, 0], [3, 7, 148, 168, 738, 714, 756, 732, 147, 167, 0, 4], [3, 7, 149, 159, 774, 630, 882, 606, 231, 131, 9, 3], [3, 7, 150, 150, 810, 546, 1008, 480, 315, 95, 18, 2], [3, 7, 151, 141, 846, 462, 1134, 354, 399, 59, 27, 1], [3, 7, 152, 132, 882, 378, 1260, 228, 483, 23, 36, 0], [3, 8, 140, 195, 690, 756, 756, 690, 195, 140, 8, 3], [3, 8, 141, 186, 726, 672, 882, 564, 279, 104, 17, 2], [3, 8, 142, 177, 762, 588, 1008, 438, 363, 68, 26, 1], [3, 8, 143, 168, 798, 504, 1134, 312, 447, 32, 35, 0], [3, 9, 131, 231, 606, 882, 630, 774, 159, 149, 7, 3], [3, 9, 132, 222, 642, 798, 756, 648, 243, 113, 16, 2], [3, 9, 133, 213, 678, 714, 882, 522, 327, 77, 25, 1], [3, 9, 134, 204, 714, 630, 1008, 396, 411, 41, 34, 0], [3, 10, 122, 267, 522, 1008, 504, 858, 123, 158, 6, 3], [3, 10, 123, 258, 558, 924, 630, 732, 207, 122, 15, 2], [3, 10, 124, 249, 594, 840, 756, 606, 291, 86, 24, 1], [3, 10, 125, 240, 630, 756, 882, 480, 375, 50, 33, 0], [3, 11, 113, 303, 438, 1134, 378, 942, 87, 167, 5, 3], [3, 11, 114, 294, 474, 1050, 504, 816, 171, 131, 14, 2], [3, 11, 115, 285, 510, 966, 630, 690, 255, 95, 23, 1], [3, 11, 116, 276, 546, 882, 756, 564, 339, 59, 32, 0], [3, 12, 104, 339, 354, 1260, 252, 1026, 51, 176, 4, 3], [3, 12, 105, 330, 390, 1176, 378, 900, 135, 140, 13, 2], [3, 12, 106, 321, 426, 1092, 504, 774, 219, 104, 22, 1], [3, 12, 107, 312, 462, 1008, 630, 648, 303, 68, 31, 0], [3, 13, 95, 375, 270, 1386, 126, 1110, 15, 185, 3, 3], [3, 13, 96, 366, 306, 1302, 252, 984, 99, 149, 12, 2], [3, 13, 97, 357, 342, 1218, 378, 858, 183, 113, 21, 1], [3, 13, 98, 348, 378, 1134, 504, 732, 267, 77, 30, 0], [3, 14, 87, 402, 222, 1428, 126, 1068, 63, 158, 11, 2], [3, 14, 88, 393, 258, 1344, 252, 942, 147, 122, 20, 1], [3, 14, 89, 384, 294, 1260, 378, 816, 231, 86, 29, 0], [3, 15, 78, 438, 138, 1554, 0, 1152, 27, 167, 10, 2], [3, 15, 79, 429, 174, 1470, 126, 1026, 111, 131, 19, 1], [3, 15, 80, 420, 210, 1386, 252, 900, 195, 95, 28, 0], [3, 16, 70, 465, 90, 1596, 0, 1110, 75, 140, 18, 1], [3, 16, 71, 456, 126, 1512, 126, 984, 159, 104, 27, 0], [3, 17, 62, 492, 42, 1638, 0, 1068, 123, 113, 26, 0], [4, 0, 167, 147, 732, 756, 714, 738, 168, 148, 7, 3], [4, 0, 168, 138, 768, 672, 840, 612, 252, 112, 16, 2], [4, 0, 169, 129, 804, 588, 966, 486, 336, 76, 25, 1], [4, 0, 170, 120, 840, 504, 1092, 360, 420, 40, 34, 0], [4, 1, 158, 183, 648, 882, 588, 822, 132, 157, 6, 3], [4, 1, 159, 174, 684, 798, 714, 696, 216, 121, 15, 2], [4, 1, 160, 165, 720, 714, 840, 570, 300, 85, 24, 1], [4, 1, 161, 156, 756, 630, 966, 444, 384, 49, 33, 0], [4, 2, 149, 219, 564, 1008, 462, 906, 96, 166, 5, 3], [4, 2, 150, 210, 600, 924, 588, 780, 180, 130, 14, 2], [4, 2, 151, 201, 636, 840, 714, 654, 264, 94, 23, 1], [4, 2, 152, 192, 672, 756, 840, 528, 348, 58, 32, 0], [4, 3, 140, 255, 480, 1134, 336, 990, 60, 175, 4, 3], [4, 3, 141, 246, 516, 1050, 462, 864, 144, 139, 13, 2], [4, 3, 142, 237, 552, 966, 588, 738, 228, 103, 22, 1], [4, 3, 143, 228, 588, 882, 714, 612, 312, 67, 31, 0], [4, 4, 131, 291, 396, 1260, 210, 1074, 24, 184, 3, 3], [4, 4, 132, 282, 432, 1176, 336, 948, 108, 148, 12, 2], [4, 4, 133, 273, 468, 1092, 462, 822, 192, 112, 21, 1], [4, 4, 134, 264, 504, 1008, 588, 696, 276, 76, 30, 0], [4, 5, 123, 318, 348, 1302, 210, 1032, 72, 157, 11, 2], [4, 5, 124, 309, 384, 1218, 336, 906, 156, 121, 20, 1], [4, 5, 125, 300, 420, 1134, 462, 780, 240, 85, 29, 0], [4, 6, 114, 354, 264, 1428, 84, 1116, 36, 166, 10, 2], [4, 6, 115, 345, 300, 1344, 210, 990, 120, 130, 19, 1], [4, 6, 116, 336, 336, 1260, 336, 864, 204, 94, 28, 0], [4, 7, 106, 381, 216, 1470, 84, 1074, 84, 139, 18, 1], [4, 7, 107, 372, 252, 1386, 210, 948, 168, 103, 27, 0], [4, 8, 98, 408, 168, 1512, 84, 1032, 132, 112, 26, 0], [5, 0, 125, 360, 210, 1512, 42, 1080, 105, 120, 25, 0]} (12, 3584, 8) has 592 possible DDs: {[1, 2, 118, 10, 705, 564, 588, 1140, 75, 330, 46, 2, 3], [1, 2, 119, 1, 741, 480, 714, 1014, 159, 294, 55, 1, 3], [1, 2, 119, 2, 732, 516, 630, 1140, 33, 378, 19, 10, 2], [1, 3, 109, 46, 621, 690, 462, 1224, 39, 339, 45, 2, 3], [1, 3, 110, 37, 657, 606, 588, 1098, 123, 303, 54, 1, 3], [1, 3, 111, 28, 693, 522, 714, 972, 207, 267, 63, 0, 3], [1, 3, 111, 29, 684, 558, 630, 1098, 81, 351, 27, 9, 2], [1, 3, 112, 20, 720, 474, 756, 972, 165, 315, 36, 8, 2], [1, 3, 112, 21, 711, 510, 672, 1098, 39, 399, 0, 17, 1], [1, 3, 113, 11, 756, 390, 882, 846, 249, 279, 45, 7, 2], [1, 3, 113, 12, 747, 426, 798, 972, 123, 363, 9, 16, 1], [1, 3, 114, 2, 792, 306, 1008, 720, 333, 243, 54, 6, 2], [1, 3, 114, 3, 783, 342, 924, 846, 207, 327, 18, 15, 1], [1, 4, 100, 82, 537, 816, 336, 1308, 3, 348, 44, 2, 3], [1, 4, 101, 73, 573, 732, 462, 1182, 87, 312, 53, 1, 3], [1, 4, 102, 64, 609, 648, 588, 1056, 171, 276, 62, 0, 3], [1, 4, 102, 65, 600, 684, 504, 1182, 45, 360, 26, 9, 2], [1, 4, 103, 56, 636, 600, 630, 1056, 129, 324, 35, 8, 2], [1, 4, 104, 47, 672, 516, 756, 930, 213, 288, 44, 7, 2], [1, 4, 104, 48, 663, 552, 672, 1056, 87, 372, 8, 16, 1], [1, 4, 105, 38, 708, 432, 882, 804, 297, 252, 53, 6, 2], [1, 4, 105, 39, 699, 468, 798, 930, 171, 336, 17, 15, 1], [1, 4, 106, 29, 744, 348, 1008, 678, 381, 216, 62, 5, 2], [1, 4, 106, 30, 735, 384, 924, 804, 255, 300, 26, 14, 1], [1, 4, 107, 20, 780, 264, 1134, 552, 465, 180, 71, 4, 2], [1, 4, 107, 21, 771, 300, 1050, 678, 339, 264, 35, 13, 1], [1, 4, 108, 11, 816, 180, 1260, 426, 549, 144, 80, 3, 2], [1, 4, 108, 12, 807, 216, 1176, 552, 423, 228, 44, 12, 1], [1, 4, 108, 13, 798, 252, 1092, 678, 297, 312, 8, 21, 0], [1, 4, 109, 2, 852, 96, 1386, 300, 633, 108, 89, 2, 2], [1, 4, 109, 3, 843, 132, 1302, 426, 507, 192, 53, 11, 1], [1, 4, 109, 4, 834, 168, 1218, 552, 381, 276, 17, 20, 0], [1, 5, 92, 109, 489, 858, 336, 1266, 51, 321, 52, 1, 3], [1, 5, 93, 100, 525, 774, 462, 1140, 135, 285, 61, 0, 3], [1, 5, 93, 101, 516, 810, 378, 1266, 9, 369, 25, 9, 2], [1, 5, 94, 92, 552, 726, 504, 1140, 93, 333, 34, 8, 2], [1, 5, 95, 83, 588, 642, 630, 1014, 177, 297, 43, 7, 2], [1, 5, 95, 84, 579, 678, 546, 1140, 51, 381, 7, 16, 1], [1, 5, 96, 74, 624, 558, 756, 888, 261, 261, 52, 6, 2], [1, 5, 96, 75, 615, 594, 672, 1014, 135, 345, 16, 15, 1], [1, 5, 97, 65, 660, 474, 882, 762, 345, 225, 61, 5, 2], [1, 5, 97, 66, 651, 510, 798, 888, 219, 309, 25, 14, 1], [1, 5, 98, 56, 696, 390, 1008, 636, 429, 189, 70, 4, 2], [1, 5, 98, 57, 687, 426, 924, 762, 303, 273, 34, 13, 1], [1, 5, 99, 47, 732, 306, 1134, 510, 513, 153, 79, 3, 2], [1, 5, 99, 48, 723, 342, 1050, 636, 387, 237, 43, 12, 1], [1, 5, 99, 49, 714, 378, 966, 762, 261, 321, 7, 21, 0], [1, 5, 100, 38, 768, 222, 1260, 384, 597, 117, 88, 2, 2], [1, 5, 100, 39, 759, 258, 1176, 510, 471, 201, 52, 11, 1], [1, 5, 100, 40, 750, 294, 1092, 636, 345, 285, 16, 20, 0], [1, 5, 101, 29, 804, 138, 1386, 258, 681, 81, 97, 1, 2], [1, 5, 101, 30, 795, 174, 1302, 384, 555, 165, 61, 10, 1], [1, 5, 101, 31, 786, 210, 1218, 510, 429, 249, 25, 19, 0], [1, 5, 102, 20, 840, 54, 1512, 132, 765, 45, 106, 0, 2], [1, 5, 102, 21, 831, 90, 1428, 258, 639, 129, 70, 9, 1], [1, 5, 102, 22, 822, 126, 1344, 384, 513, 213, 34, 18, 0], [1, 5, 103, 12, 867, 6, 1554, 132, 723, 93, 79, 8, 1], [1, 5, 103, 13, 858, 42, 1470, 258, 597, 177, 43, 17, 0], [1, 6, 83, 145, 405, 984, 210, 1350, 15, 330, 51, 1, 3], [1, 6, 84, 136, 441, 900, 336, 1224, 99, 294, 60, 0, 3], [1, 6, 85, 128, 468, 852, 378, 1224, 57, 342, 33, 8, 2], [1, 6, 86, 119, 504, 768, 504, 1098, 141, 306, 42, 7, 2], [1, 6, 86, 120, 495, 804, 420, 1224, 15, 390, 6, 16, 1], [1, 6, 87, 110, 540, 684, 630, 972, 225, 270, 51, 6, 2], [1, 6, 87, 111, 531, 720, 546, 1098, 99, 354, 15, 15, 1], [1, 6, 88, 101, 576, 600, 756, 846, 309, 234, 60, 5, 2], [1, 6, 88, 102, 567, 636, 672, 972, 183, 318, 24, 14, 1], [1, 6, 89, 92, 612, 516, 882, 720, 393, 198, 69, 4, 2], [1, 6, 89, 93, 603, 552, 798, 846, 267, 282, 33, 13, 1], [1, 6, 90, 83, 648, 432, 1008, 594, 477, 162, 78, 3, 2], [1, 6, 90, 84, 639, 468, 924, 720, 351, 246, 42, 12, 1], [1, 6, 90, 85, 630, 504, 840, 846, 225, 330, 6, 21, 0], [1, 6, 91, 74, 684, 348, 1134, 468, 561, 126, 87, 2, 2], [1, 6, 91, 75, 675, 384, 1050, 594, 435, 210, 51, 11, 1], [1, 6, 91, 76, 666, 420, 966, 720, 309, 294, 15, 20, 0], [1, 6, 92, 65, 720, 264, 1260, 342, 645, 90, 96, 1, 2], [1, 6, 92, 66, 711, 300, 1176, 468, 519, 174, 60, 10, 1], [1, 6, 92, 67, 702, 336, 1092, 594, 393, 258, 24, 19, 0], [1, 6, 93, 56, 756, 180, 1386, 216, 729, 54, 105, 0, 2], [1, 6, 93, 57, 747, 216, 1302, 342, 603, 138, 69, 9, 1], [1, 6, 93, 58, 738, 252, 1218, 468, 477, 222, 33, 18, 0], [1, 6, 94, 48, 783, 132, 1428, 216, 687, 102, 78, 8, 1], [1, 6, 94, 49, 774, 168, 1344, 342, 561, 186, 42, 17, 0], [1, 6, 95, 39, 819, 48, 1554, 90, 771, 66, 87, 7, 1], [1, 6, 95, 40, 810, 84, 1470, 216, 645, 150, 51, 16, 0], [1, 6, 96, 31, 846, 0, 1596, 90, 729, 114, 60, 15, 0], [1, 7, 75, 172, 357, 1026, 210, 1308, 63, 303, 59, 0, 3], [1, 7, 76, 164, 384, 978, 252, 1308, 21, 351, 32, 8, 2], [1, 7, 77, 155, 420, 894, 378, 1182, 105, 315, 41, 7, 2], [1, 7, 78, 146, 456, 810, 504, 1056, 189, 279, 50, 6, 2], [1, 7, 78, 147, 447, 846, 420, 1182, 63, 363, 14, 15, 1], [1, 7, 79, 137, 492, 726, 630, 930, 273, 243, 59, 5, 2], [1, 7, 79, 138, 483, 762, 546, 1056, 147, 327, 23, 14, 1], [1, 7, 80, 128, 528, 642, 756, 804, 357, 207, 68, 4, 2], [1, 7, 80, 129, 519, 678, 672, 930, 231, 291, 32, 13, 1], [1, 7, 81, 119, 564, 558, 882, 678, 441, 171, 77, 3, 2], [1, 7, 81, 120, 555, 594, 798, 804, 315, 255, 41, 12, 1], [1, 7, 81, 121, 546, 630, 714, 930, 189, 339, 5, 21, 0], [1, 7, 82, 110, 600, 474, 1008, 552, 525, 135, 86, 2, 2], [1, 7, 82, 111, 591, 510, 924, 678, 399, 219, 50, 11, 1], [1, 7, 82, 112, 582, 546, 840, 804, 273, 303, 14, 20, 0], [1, 7, 83, 101, 636, 390, 1134, 426, 609, 99, 95, 1, 2], [1, 7, 83, 102, 627, 426, 1050, 552, 483, 183, 59, 10, 1], [1, 7, 83, 103, 618, 462, 966, 678, 357, 267, 23, 19, 0], [1, 7, 84, 92, 672, 306, 1260, 300, 693, 63, 104, 0, 2], [1, 7, 84, 93, 663, 342, 1176, 426, 567, 147, 68, 9, 1], [1, 7, 84, 94, 654, 378, 1092, 552, 441, 231, 32, 18, 0], [1, 7, 85, 84, 699, 258, 1302, 300, 651, 111, 77, 8, 1], [1, 7, 85, 85, 690, 294, 1218, 426, 525, 195, 41, 17, 0], [1, 7, 86, 75, 735, 174, 1428, 174, 735, 75, 86, 7, 1], [1, 7, 86, 76, 726, 210, 1344, 300, 609, 159, 50, 16, 0], [1, 7, 87, 66, 771, 90, 1554, 48, 819, 39, 95, 6, 1], [1, 7, 87, 67, 762, 126, 1470, 174, 693, 123, 59, 15, 0], [1, 7, 88, 58, 798, 42, 1596, 48, 777, 87, 68, 14, 0], [1, 8, 66, 208, 273, 1152, 84, 1392, 27, 312, 58, 0, 3], [1, 8, 68, 191, 336, 1020, 252, 1266, 69, 324, 40, 7, 2], [1, 8, 69, 182, 372, 936, 378, 1140, 153, 288, 49, 6, 2], [1, 8, 69, 183, 363, 972, 294, 1266, 27, 372, 13, 15, 1], [1, 8, 70, 173, 408, 852, 504, 1014, 237, 252, 58, 5, 2], [1, 8, 70, 174, 399, 888, 420, 1140, 111, 336, 22, 14, 1], [1, 8, 71, 164, 444, 768, 630, 888, 321, 216, 67, 4, 2], [1, 8, 71, 165, 435, 804, 546, 1014, 195, 300, 31, 13, 1], [1, 8, 72, 155, 480, 684, 756, 762, 405, 180, 76, 3, 2], [1, 8, 72, 156, 471, 720, 672, 888, 279, 264, 40, 12, 1], [1, 8, 72, 157, 462, 756, 588, 1014, 153, 348, 4, 21, 0], [1, 8, 73, 146, 516, 600, 882, 636, 489, 144, 85, 2, 2], [1, 8, 73, 147, 507, 636, 798, 762, 363, 228, 49, 11, 1], [1, 8, 73, 148, 498, 672, 714, 888, 237, 312, 13, 20, 0], [1, 8, 74, 137, 552, 516, 1008, 510, 573, 108, 94, 1, 2], [1, 8, 74, 138, 543, 552, 924, 636, 447, 192, 58, 10, 1], [1, 8, 74, 139, 534, 588, 840, 762, 321, 276, 22, 19, 0], [1, 8, 75, 128, 588, 432, 1134, 384, 657, 72, 103, 0, 2], [1, 8, 75, 129, 579, 468, 1050, 510, 531, 156, 67, 9, 1], [1, 8, 75, 130, 570, 504, 966, 636, 405, 240, 31, 18, 0], [1, 8, 76, 120, 615, 384, 1176, 384, 615, 120, 76, 8, 1], [1, 8, 76, 121, 606, 420, 1092, 510, 489, 204, 40, 17, 0], [1, 8, 77, 111, 651, 300, 1302, 258, 699, 84, 85, 7, 1], [1, 8, 77, 112, 642, 336, 1218, 384, 573, 168, 49, 16, 0], [1, 8, 78, 102, 687, 216, 1428, 132, 783, 48, 94, 6, 1], [1, 8, 78, 103, 678, 252, 1344, 258, 657, 132, 58, 15, 0], [1, 8, 79, 93, 723, 132, 1554, 6, 867, 12, 103, 5, 1], [1, 8, 79, 94, 714, 168, 1470, 132, 741, 96, 67, 14, 0], [1, 8, 80, 85, 750, 84, 1596, 6, 825, 60, 76, 13, 0], [1, 9, 59, 227, 252, 1146, 126, 1350, 33, 333, 39, 7, 2], [1, 9, 60, 218, 288, 1062, 252, 1224, 117, 297, 48, 6, 2], [1, 9, 61, 209, 324, 978, 378, 1098, 201, 261, 57, 5, 2], [1, 9, 61, 210, 315, 1014, 294, 1224, 75, 345, 21, 14, 1], [1, 9, 62, 200, 360, 894, 504, 972, 285, 225, 66, 4, 2], [1, 9, 62, 201, 351, 930, 420, 1098, 159, 309, 30, 13, 1], [1, 9, 63, 191, 396, 810, 630, 846, 369, 189, 75, 3, 2], [1, 9, 63, 192, 387, 846, 546, 972, 243, 273, 39, 12, 1], [1, 9, 63, 193, 378, 882, 462, 1098, 117, 357, 3, 21, 0], [1, 9, 64, 182, 432, 726, 756, 720, 453, 153, 84, 2, 2], [1, 9, 64, 183, 423, 762, 672, 846, 327, 237, 48, 11, 1], [1, 9, 64, 184, 414, 798, 588, 972, 201, 321, 12, 20, 0], [1, 9, 65, 173, 468, 642, 882, 594, 537, 117, 93, 1, 2], [1, 9, 65, 174, 459, 678, 798, 720, 411, 201, 57, 10, 1], [1, 9, 65, 175, 450, 714, 714, 846, 285, 285, 21, 19, 0], [1, 9, 66, 164, 504, 558, 1008, 468, 621, 81, 102, 0, 2], [1, 9, 66, 165, 495, 594, 924, 594, 495, 165, 66, 9, 1], [1, 9, 66, 166, 486, 630, 840, 720, 369, 249, 30, 18, 0], [1, 9, 67, 156, 531, 510, 1050, 468, 579, 129, 75, 8, 1], [1, 9, 67, 157, 522, 546, 966, 594, 453, 213, 39, 17, 0], [1, 9, 68, 147, 567, 426, 1176, 342, 663, 93, 84, 7, 1], [1, 9, 68, 148, 558, 462, 1092, 468, 537, 177, 48, 16, 0], [1, 9, 69, 138, 603, 342, 1302, 216, 747, 57, 93, 6, 1], [1, 9, 69, 139, 594, 378, 1218, 342, 621, 141, 57, 15, 0], [1, 9, 70, 129, 639, 258, 1428, 90, 831, 21, 102, 5, 1], [1, 9, 70, 130, 630, 294, 1344, 216, 705, 105, 66, 14, 0], [1, 9, 71, 121, 666, 210, 1470, 90, 789, 69, 75, 13, 0], [1, 10, 51, 254, 204, 1188, 126, 1308, 81, 306, 47, 6, 2], [1, 10, 52, 245, 240, 1104, 252, 1182, 165, 270, 56, 5, 2], [1, 10, 52, 246, 231, 1140, 168, 1308, 39, 354, 20, 14, 1], [1, 10, 53, 236, 276, 1020, 378, 1056, 249, 234, 65, 4, 2], [1, 10, 53, 237, 267, 1056, 294, 1182, 123, 318, 29, 13, 1], [1, 10, 54, 227, 312, 936, 504, 930, 333, 198, 74, 3, 2], [1, 10, 54, 228, 303, 972, 420, 1056, 207, 282, 38, 12, 1], [1, 10, 54, 229, 294, 1008, 336, 1182, 81, 366, 2, 21, 0], [1, 10, 55, 218, 348, 852, 630, 804, 417, 162, 83, 2, 2], [1, 10, 55, 219, 339, 888, 546, 930, 291, 246, 47, 11, 1], [1, 10, 55, 220, 330, 924, 462, 1056, 165, 330, 11, 20, 0], [1, 10, 56, 209, 384, 768, 756, 678, 501, 126, 92, 1, 2], [1, 10, 56, 210, 375, 804, 672, 804, 375, 210, 56, 10, 1], [1, 10, 56, 211, 366, 840, 588, 930, 249, 294, 20, 19, 0], [1, 10, 57, 200, 420, 684, 882, 552, 585, 90, 101, 0, 2], [1, 10, 57, 201, 411, 720, 798, 678, 459, 174, 65, 9, 1], [1, 10, 57, 202, 402, 756, 714, 804, 333, 258, 29, 18, 0], [1, 10, 58, 192, 447, 636, 924, 552, 543, 138, 74, 8, 1], [1, 10, 58, 193, 438, 672, 840, 678, 417, 222, 38, 17, 0], [1, 10, 59, 183, 483, 552, 1050, 426, 627, 102, 83, 7, 1], [1, 10, 59, 184, 474, 588, 966, 552, 501, 186, 47, 16, 0], [1, 10, 60, 174, 519, 468, 1176, 300, 711, 66, 92, 6, 1], [1, 10, 60, 175, 510, 504, 1092, 426, 585, 150, 56, 15, 0], [1, 10, 61, 165, 555, 384, 1302, 174, 795, 30, 101, 5, 1], [1, 10, 61, 166, 546, 420, 1218, 300, 669, 114, 65, 14, 0], [1, 10, 62, 157, 582, 336, 1344, 174, 753, 78, 74, 13, 0], [1, 10, 63, 148, 618, 252, 1470, 48, 837, 42, 83, 12, 0], [1, 11, 42, 290, 120, 1314, 0, 1392, 45, 315, 46, 6, 2], [1, 11, 43, 281, 156, 1230, 126, 1266, 129, 279, 55, 5, 2], [1, 11, 43, 282, 147, 1266, 42, 1392, 3, 363, 19, 14, 1], [1, 11, 44, 272, 192, 1146, 252, 1140, 213, 243, 64, 4, 2], [1, 11, 44, 273, 183, 1182, 168, 1266, 87, 327, 28, 13, 1], [1, 11, 45, 263, 228, 1062, 378, 1014, 297, 207, 73, 3, 2], [1, 11, 45, 264, 219, 1098, 294, 1140, 171, 291, 37, 12, 1], [1, 11, 45, 265, 210, 1134, 210, 1266, 45, 375, 1, 21, 0], [1, 11, 46, 254, 264, 978, 504, 888, 381, 171, 82, 2, 2], [1, 11, 46, 255, 255, 1014, 420, 1014, 255, 255, 46, 11, 1], [1, 11, 46, 256, 246, 1050, 336, 1140, 129, 339, 10, 20, 0], [1, 11, 47, 245, 300, 894, 630, 762, 465, 135, 91, 1, 2], [1, 11, 47, 246, 291, 930, 546, 888, 339, 219, 55, 10, 1], [1, 11, 47, 247, 282, 966, 462, 1014, 213, 303, 19, 19, 0], [1, 11, 48, 236, 336, 810, 756, 636, 549, 99, 100, 0, 2], [1, 11, 48, 237, 327, 846, 672, 762, 423, 183, 64, 9, 1], [1, 11, 48, 238, 318, 882, 588, 888, 297, 267, 28, 18, 0], [1, 11, 49, 228, 363, 762, 798, 636, 507, 147, 73, 8, 1], [1, 11, 49, 229, 354, 798, 714, 762, 381, 231, 37, 17, 0], [1, 11, 50, 219, 399, 678, 924, 510, 591, 111, 82, 7, 1], [1, 11, 50, 220, 390, 714, 840, 636, 465, 195, 46, 16, 0], [1, 11, 51, 210, 435, 594, 1050, 384, 675, 75, 91, 6, 1], [1, 11, 51, 211, 426, 630, 966, 510, 549, 159, 55, 15, 0], [1, 11, 52, 201, 471, 510, 1176, 258, 759, 39, 100, 5, 1], [1, 11, 52, 202, 462, 546, 1092, 384, 633, 123, 64, 14, 0], [1, 11, 53, 192, 507, 426, 1302, 132, 843, 3, 109, 4, 1], [1, 11, 53, 193, 498, 462, 1218, 258, 717, 87, 73, 13, 0], [1, 11, 54, 184, 534, 378, 1344, 132, 801, 51, 82, 12, 0], [1, 11, 55, 175, 570, 294, 1470, 6, 885, 15, 91, 11, 0], [1, 12, 34, 317, 72, 1356, 0, 1350, 93, 288, 54, 5, 2], [1, 12, 35, 308, 108, 1272, 126, 1224, 177, 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558, 624, 74, 96, 5, 1], [2, 6, 52, 262, 252, 924, 672, 684, 498, 158, 60, 14, 0], [2, 6, 53, 252, 297, 804, 882, 432, 708, 38, 105, 4, 1], [2, 6, 53, 253, 288, 840, 798, 558, 582, 122, 69, 13, 0], [2, 6, 54, 243, 333, 720, 1008, 306, 792, 2, 114, 3, 1], [2, 6, 54, 244, 324, 756, 924, 432, 666, 86, 78, 12, 0], [2, 6, 55, 235, 360, 672, 1050, 306, 750, 50, 87, 11, 0], [2, 6, 56, 226, 396, 588, 1176, 180, 834, 14, 96, 10, 0], [2, 7, 38, 341, 6, 1398, 84, 1146, 294, 179, 86, 1, 2], [2, 7, 39, 332, 42, 1314, 210, 1020, 378, 143, 95, 0, 2], [2, 7, 39, 333, 33, 1350, 126, 1146, 252, 227, 59, 9, 1], [2, 7, 39, 334, 24, 1386, 42, 1272, 126, 311, 23, 18, 0], [2, 7, 40, 324, 69, 1266, 252, 1020, 336, 191, 68, 8, 1], [2, 7, 40, 325, 60, 1302, 168, 1146, 210, 275, 32, 17, 0], [2, 7, 41, 315, 105, 1182, 378, 894, 420, 155, 77, 7, 1], [2, 7, 41, 316, 96, 1218, 294, 1020, 294, 239, 41, 16, 0], [2, 7, 42, 306, 141, 1098, 504, 768, 504, 119, 86, 6, 1], [2, 7, 42, 307, 132, 1134, 420, 894, 378, 203, 50, 15, 0], [2, 7, 43, 297, 177, 1014, 630, 642, 588, 83, 95, 5, 1], [2, 7, 43, 298, 168, 1050, 546, 768, 462, 167, 59, 14, 0], [2, 7, 44, 288, 213, 930, 756, 516, 672, 47, 104, 4, 1], [2, 7, 44, 289, 204, 966, 672, 642, 546, 131, 68, 13, 0], [2, 7, 45, 279, 249, 846, 882, 390, 756, 11, 113, 3, 1], [2, 7, 45, 280, 240, 882, 798, 516, 630, 95, 77, 12, 0], [2, 7, 46, 271, 276, 798, 924, 390, 714, 59, 86, 11, 0], [2, 7, 47, 262, 312, 714, 1050, 264, 798, 23, 95, 10, 0], [2, 8, 32, 351, 21, 1308, 252, 978, 384, 164, 76, 7, 1], [2, 8, 32, 352, 12, 1344, 168, 1104, 258, 248, 40, 16, 0], [2, 8, 33, 342, 57, 1224, 378, 852, 468, 128, 85, 6, 1], [2, 8, 33, 343, 48, 1260, 294, 978, 342, 212, 49, 15, 0], [2, 8, 34, 333, 93, 1140, 504, 726, 552, 92, 94, 5, 1], [2, 8, 34, 334, 84, 1176, 420, 852, 426, 176, 58, 14, 0], [2, 8, 35, 324, 129, 1056, 630, 600, 636, 56, 103, 4, 1], [2, 8, 35, 325, 120, 1092, 546, 726, 510, 140, 67, 13, 0], [2, 8, 36, 315, 165, 972, 756, 474, 720, 20, 112, 3, 1], [2, 8, 36, 316, 156, 1008, 672, 600, 594, 104, 76, 12, 0], [2, 8, 37, 307, 192, 924, 798, 474, 678, 68, 85, 11, 0], [2, 8, 38, 298, 228, 840, 924, 348, 762, 32, 94, 10, 0], [2, 9, 25, 369, 9, 1266, 378, 810, 516, 101, 93, 5, 1], [2, 9, 25, 370, 0, 1302, 294, 936, 390, 185, 57, 14, 0], [2, 9, 26, 360, 45, 1182, 504, 684, 600, 65, 102, 4, 1], [2, 9, 26, 361, 36, 1218, 420, 810, 474, 149, 66, 13, 0], [2, 9, 27, 351, 81, 1098, 630, 558, 684, 29, 111, 3, 1], [2, 9, 27, 352, 72, 1134, 546, 684, 558, 113, 75, 12, 0], [2, 9, 28, 343, 108, 1050, 672, 558, 642, 77, 84, 11, 0], [2, 9, 29, 334, 144, 966, 798, 432, 726, 41, 93, 10, 0], [2, 9, 30, 325, 180, 882, 924, 306, 810, 5, 102, 9, 0], [2, 10, 19, 378, 33, 1140, 630, 516, 732, 2, 119, 2, 1], [2, 10, 19, 379, 24, 1176, 546, 642, 606, 86, 83, 11, 0], [2, 10, 20, 370, 60, 1092, 672, 516, 690, 50, 92, 10, 0], [2, 10, 21, 361, 96, 1008, 798, 390, 774, 14, 101, 9, 0], [2, 11, 12, 397, 12, 1134, 672, 474, 738, 23, 100, 9, 0], [3, 0, 57, 320, 0, 1440, 42, 1152, 315, 160, 93, 0, 2], [3, 0, 58, 312, 27, 1392, 84, 1152, 273, 208, 66, 8, 1], [3, 0, 58, 313, 18, 1428, 0, 1278, 147, 292, 30, 17, 0], [3, 0, 59, 303, 63, 1308, 210, 1026, 357, 172, 75, 7, 1], [3, 0, 59, 304, 54, 1344, 126, 1152, 231, 256, 39, 16, 0], [3, 0, 60, 294, 99, 1224, 336, 900, 441, 136, 84, 6, 1], [3, 0, 60, 295, 90, 1260, 252, 1026, 315, 220, 48, 15, 0], [3, 0, 61, 285, 135, 1140, 462, 774, 525, 100, 93, 5, 1], [3, 0, 61, 286, 126, 1176, 378, 900, 399, 184, 57, 14, 0], [3, 0, 62, 276, 171, 1056, 588, 648, 609, 64, 102, 4, 1], [3, 0, 62, 277, 162, 1092, 504, 774, 483, 148, 66, 13, 0], [3, 0, 63, 267, 207, 972, 714, 522, 693, 28, 111, 3, 1], [3, 0, 63, 268, 198, 1008, 630, 648, 567, 112, 75, 12, 0], [3, 0, 64, 259, 234, 924, 756, 522, 651, 76, 84, 11, 0], [3, 0, 65, 250, 270, 840, 882, 396, 735, 40, 93, 10, 0], [3, 0, 66, 241, 306, 756, 1008, 270, 819, 4, 102, 9, 0], [3, 1, 51, 330, 15, 1350, 210, 984, 405, 145, 83, 6, 1], [3, 1, 51, 331, 6, 1386, 126, 1110, 279, 229, 47, 15, 0], [3, 1, 52, 321, 51, 1266, 336, 858, 489, 109, 92, 5, 1], [3, 1, 52, 322, 42, 1302, 252, 984, 363, 193, 56, 14, 0], [3, 1, 53, 312, 87, 1182, 462, 732, 573, 73, 101, 4, 1], [3, 1, 53, 313, 78, 1218, 378, 858, 447, 157, 65, 13, 0], [3, 1, 54, 303, 123, 1098, 588, 606, 657, 37, 110, 3, 1], [3, 1, 54, 304, 114, 1134, 504, 732, 531, 121, 74, 12, 0], [3, 1, 55, 294, 159, 1014, 714, 480, 741, 1, 119, 2, 1], [3, 1, 55, 295, 150, 1050, 630, 606, 615, 85, 83, 11, 0], [3, 1, 56, 286, 186, 966, 756, 480, 699, 49, 92, 10, 0], [3, 1, 57, 277, 222, 882, 882, 354, 783, 13, 101, 9, 0], [3, 2, 44, 348, 3, 1308, 336, 816, 537, 82, 100, 4, 1], [3, 2, 45, 339, 39, 1224, 462, 690, 621, 46, 109, 3, 1], [3, 2, 45, 340, 30, 1260, 378, 816, 495, 130, 73, 12, 0], [3, 2, 46, 330, 75, 1140, 588, 564, 705, 10, 118, 2, 1], [3, 2, 46, 331, 66, 1176, 504, 690, 579, 94, 82, 11, 0], [3, 2, 47, 322, 102, 1092, 630, 564, 663, 58, 91, 10, 0], [3, 2, 48, 313, 138, 1008, 756, 438, 747, 22, 100, 9, 0], [3, 3, 38, 358, 18, 1218, 504, 648, 627, 67, 90, 10, 0], [3, 3, 39, 349, 54, 1134, 630, 522, 711, 31, 99, 9, 0], [3, 4, 31, 376, 6, 1176, 630, 480, 759, 4, 107, 8, 0]} (13, 3584, 8) has 1448 possible DDs: {[1, 0, 46, 170, 33, 1194, 12, 1140, 651, 52, 278, 2, 3, 2], [1, 0, 47, 161, 69, 1110, 138, 1014, 735, 16, 287, 1, 3, 2], [1, 0, 47, 162, 60, 1146, 54, 1140, 609, 100, 251, 10, 2, 2], [1, 0, 48, 153, 96, 1062, 180, 1014, 693, 64, 260, 9, 2, 2], [1, 0, 48, 154, 87, 1098, 96, 1140, 567, 148, 224, 18, 1, 2], [1, 0, 48, 155, 78, 1134, 12, 1266, 441, 232, 188, 27, 0, 2], [1, 0, 49, 144, 132, 978, 306, 888, 777, 28, 269, 8, 2, 2], [1, 0, 49, 145, 123, 1014, 222, 1014, 651, 112, 233, 17, 1, 2], [1, 0, 49, 146, 114, 1050, 138, 1140, 525, 196, 197, 26, 0, 2], [1, 0, 49, 148, 97, 1113, 6, 1308, 399, 238, 209, 8, 7, 1], [1, 0, 50, 136, 159, 930, 348, 888, 735, 76, 242, 16, 1, 2], [1, 0, 50, 137, 150, 966, 264, 1014, 609, 160, 206, 25, 0, 2], [1, 0, 50, 139, 133, 1029, 132, 1182, 483, 202, 218, 7, 7, 1], [1, 0, 50, 140, 124, 1065, 48, 1308, 357, 286, 182, 16, 6, 1], [1, 0, 51, 127, 195, 846, 474, 762, 819, 40, 251, 15, 1, 2], [1, 0, 51, 128, 186, 882, 390, 888, 693, 124, 215, 24, 0, 2], [1, 0, 51, 130, 169, 945, 258, 1056, 567, 166, 227, 6, 7, 1], [1, 0, 51, 131, 160, 981, 174, 1182, 441, 250, 191, 15, 6, 1], [1, 0, 51, 132, 151, 1017, 90, 1308, 315, 334, 155, 24, 5, 1], [1, 0, 51, 133, 142, 1053, 6, 1434, 189, 418, 119, 33, 4, 1], [1, 0, 52, 118, 231, 762, 600, 636, 903, 4, 260, 14, 1, 2], [1, 0, 52, 119, 222, 798, 516, 762, 777, 88, 224, 23, 0, 2], [1, 0, 52, 121, 205, 861, 384, 930, 651, 130, 236, 5, 7, 1], [1, 0, 52, 122, 196, 897, 300, 1056, 525, 214, 200, 14, 6, 1], [1, 0, 52, 123, 187, 933, 216, 1182, 399, 298, 164, 23, 5, 1], [1, 0, 52, 124, 178, 969, 132, 1308, 273, 382, 128, 32, 4, 1], [1, 0, 52, 125, 169, 1005, 48, 1434, 147, 466, 92, 41, 3, 1], [1, 0, 52, 125, 170, 996, 84, 1350, 273, 340, 176, 5, 12, 0], [1, 0, 52, 126, 161, 1032, 0, 1476, 147, 424, 140, 14, 11, 0], [1, 0, 53, 110, 258, 714, 642, 636, 861, 52, 233, 22, 0, 2], [1, 0, 53, 112, 241, 777, 510, 804, 735, 94, 245, 4, 7, 1], [1, 0, 53, 113, 232, 813, 426, 930, 609, 178, 209, 13, 6, 1], [1, 0, 53, 114, 223, 849, 342, 1056, 483, 262, 173, 22, 5, 1], [1, 0, 53, 115, 214, 885, 258, 1182, 357, 346, 137, 31, 4, 1], [1, 0, 53, 116, 205, 921, 174, 1308, 231, 430, 101, 40, 3, 1], [1, 0, 53, 116, 206, 912, 210, 1224, 357, 304, 185, 4, 12, 0], [1, 0, 53, 117, 196, 957, 90, 1434, 105, 514, 65, 49, 2, 1], [1, 0, 53, 117, 197, 948, 126, 1350, 231, 388, 149, 13, 11, 0], [1, 0, 53, 118, 188, 984, 42, 1476, 105, 472, 113, 22, 10, 0], [1, 0, 54, 101, 294, 630, 768, 510, 945, 16, 242, 21, 0, 2], [1, 0, 54, 103, 277, 693, 636, 678, 819, 58, 254, 3, 7, 1], [1, 0, 54, 104, 268, 729, 552, 804, 693, 142, 218, 12, 6, 1], [1, 0, 54, 105, 259, 765, 468, 930, 567, 226, 182, 21, 5, 1], [1, 0, 54, 106, 250, 801, 384, 1056, 441, 310, 146, 30, 4, 1], [1, 0, 54, 107, 241, 837, 300, 1182, 315, 394, 110, 39, 3, 1], [1, 0, 54, 107, 242, 828, 336, 1098, 441, 268, 194, 3, 12, 0], [1, 0, 54, 108, 232, 873, 216, 1308, 189, 478, 74, 48, 2, 1], [1, 0, 54, 108, 233, 864, 252, 1224, 315, 352, 158, 12, 11, 0], [1, 0, 54, 109, 223, 909, 132, 1434, 63, 562, 38, 57, 1, 1], [1, 0, 54, 109, 224, 900, 168, 1350, 189, 436, 122, 21, 10, 0], [1, 0, 54, 110, 215, 936, 84, 1476, 63, 520, 86, 30, 9, 0], [1, 0, 55, 94, 313, 609, 762, 552, 903, 22, 263, 2, 7, 1], [1, 0, 55, 95, 304, 645, 678, 678, 777, 106, 227, 11, 6, 1], [1, 0, 55, 96, 295, 681, 594, 804, 651, 190, 191, 20, 5, 1], [1, 0, 55, 97, 286, 717, 510, 930, 525, 274, 155, 29, 4, 1], [1, 0, 55, 98, 277, 753, 426, 1056, 399, 358, 119, 38, 3, 1], [1, 0, 55, 98, 278, 744, 462, 972, 525, 232, 203, 2, 12, 0], [1, 0, 55, 99, 268, 789, 342, 1182, 273, 442, 83, 47, 2, 1], [1, 0, 55, 99, 269, 780, 378, 1098, 399, 316, 167, 11, 11, 0], [1, 0, 55, 100, 259, 825, 258, 1308, 147, 526, 47, 56, 1, 1], [1, 0, 55, 100, 260, 816, 294, 1224, 273, 400, 131, 20, 10, 0], [1, 0, 55, 101, 250, 861, 174, 1434, 21, 610, 11, 65, 0, 1], [1, 0, 55, 101, 251, 852, 210, 1350, 147, 484, 95, 29, 9, 0], [1, 0, 55, 102, 242, 888, 126, 1476, 21, 568, 59, 38, 8, 0], [1, 0, 56, 86, 340, 561, 804, 552, 861, 70, 236, 10, 6, 1], [1, 0, 56, 87, 331, 597, 720, 678, 735, 154, 200, 19, 5, 1], [1, 0, 56, 88, 322, 633, 636, 804, 609, 238, 164, 28, 4, 1], [1, 0, 56, 89, 313, 669, 552, 930, 483, 322, 128, 37, 3, 1], [1, 0, 56, 89, 314, 660, 588, 846, 609, 196, 212, 1, 12, 0], [1, 0, 56, 90, 304, 705, 468, 1056, 357, 406, 92, 46, 2, 1], [1, 0, 56, 90, 305, 696, 504, 972, 483, 280, 176, 10, 11, 0], [1, 0, 56, 91, 295, 741, 384, 1182, 231, 490, 56, 55, 1, 1], [1, 0, 56, 91, 296, 732, 420, 1098, 357, 364, 140, 19, 10, 0], [1, 0, 56, 92, 286, 777, 300, 1308, 105, 574, 20, 64, 0, 1], [1, 0, 56, 92, 287, 768, 336, 1224, 231, 448, 104, 28, 9, 0], [1, 0, 56, 93, 278, 804, 252, 1350, 105, 532, 68, 37, 8, 0], [1, 0, 57, 77, 376, 477, 930, 426, 945, 34, 245, 9, 6, 1], [1, 0, 57, 78, 367, 513, 846, 552, 819, 118, 209, 18, 5, 1], [1, 0, 57, 79, 358, 549, 762, 678, 693, 202, 173, 27, 4, 1], [1, 0, 57, 80, 349, 585, 678, 804, 567, 286, 137, 36, 3, 1], [1, 0, 57, 80, 350, 576, 714, 720, 693, 160, 221, 0, 12, 0], [1, 0, 57, 81, 340, 621, 594, 930, 441, 370, 101, 45, 2, 1], [1, 0, 57, 81, 341, 612, 630, 846, 567, 244, 185, 9, 11, 0], [1, 0, 57, 82, 331, 657, 510, 1056, 315, 454, 65, 54, 1, 1], [1, 0, 57, 82, 332, 648, 546, 972, 441, 328, 149, 18, 10, 0], [1, 0, 57, 83, 322, 693, 426, 1182, 189, 538, 29, 63, 0, 1], [1, 0, 57, 83, 323, 684, 462, 1098, 315, 412, 113, 27, 9, 0], [1, 0, 57, 84, 314, 720, 378, 1224, 189, 496, 77, 36, 8, 0], [1, 0, 57, 85, 305, 756, 294, 1350, 63, 580, 41, 45, 7, 0], [1, 0, 58, 69, 403, 429, 972, 426, 903, 82, 218, 17, 5, 1], [1, 0, 58, 70, 394, 465, 888, 552, 777, 166, 182, 26, 4, 1], [1, 0, 58, 71, 385, 501, 804, 678, 651, 250, 146, 35, 3, 1], [1, 0, 58, 72, 376, 537, 720, 804, 525, 334, 110, 44, 2, 1], [1, 0, 58, 72, 377, 528, 756, 720, 651, 208, 194, 8, 11, 0], [1, 0, 58, 73, 367, 573, 636, 930, 399, 418, 74, 53, 1, 1], [1, 0, 58, 73, 368, 564, 672, 846, 525, 292, 158, 17, 10, 0], [1, 0, 58, 74, 358, 609, 552, 1056, 273, 502, 38, 62, 0, 1], [1, 0, 58, 74, 359, 600, 588, 972, 399, 376, 122, 26, 9, 0], [1, 0, 58, 75, 350, 636, 504, 1098, 273, 460, 86, 35, 8, 0], [1, 0, 58, 76, 341, 672, 420, 1224, 147, 544, 50, 44, 7, 0], [1, 0, 58, 77, 332, 708, 336, 1350, 21, 628, 14, 53, 6, 0], [1, 0, 59, 60, 439, 345, 1098, 300, 987, 46, 227, 16, 5, 1], [1, 0, 59, 61, 430, 381, 1014, 426, 861, 130, 191, 25, 4, 1], [1, 0, 59, 62, 421, 417, 930, 552, 735, 214, 155, 34, 3, 1], [1, 0, 59, 63, 412, 453, 846, 678, 609, 298, 119, 43, 2, 1], [1, 0, 59, 63, 413, 444, 882, 594, 735, 172, 203, 7, 11, 0], [1, 0, 59, 64, 403, 489, 762, 804, 483, 382, 83, 52, 1, 1], [1, 0, 59, 64, 404, 480, 798, 720, 609, 256, 167, 16, 10, 0], [1, 0, 59, 65, 394, 525, 678, 930, 357, 466, 47, 61, 0, 1], [1, 0, 59, 65, 395, 516, 714, 846, 483, 340, 131, 25, 9, 0], [1, 0, 59, 66, 386, 552, 630, 972, 357, 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