-------
(13, 1792, 7) ALL distance distributions for INTERNAL point
(7, 1792, 7) has 1 possible DDs: {[14, 98, 294, 490, 490, 294, 98, 14]}
(8, 1792, 7) has 14 possible DDs: {[1, 104, 28, 728, 70, 728, 28, 104, 1], [2, 96, 56, 672, 140, 672, 56, 96, 2], [3, 88, 84, 616, 210, 616, 84, 88, 3], [4, 80, 112, 560, 280, 560, 112, 80, 4], [5, 72, 140, 504, 350, 504, 140, 72, 5], [6, 64, 168, 448, 420, 448, 168, 64, 6], [7, 56, 196, 392, 490, 392, 196, 56, 7], [8, 48, 224, 336, 560, 336, 224, 48, 8], [9, 40, 252, 280, 630, 280, 252, 40, 9], [10, 32, 280, 224, 700, 224, 280, 32, 10], [11, 24, 308, 168, 770, 168, 308, 24, 11], [12, 16, 336, 112, 840, 112, 336, 16, 12], [13, 8, 364, 56, 910, 56, 364, 8, 13], [14, 0, 392, 0, 980, 0, 392, 0, 14]}
(9, 1792, 7) has 57 possible DDs: {[1, 48, 84, 336, 462, 336, 420, 48, 57, 0], [1, 49, 76, 364, 406, 406, 364, 76, 49, 1], [1, 50, 68, 392, 350, 476, 308, 104, 41, 2], [1, 51, 60, 420, 294, 546, 252, 132, 33, 3], [1, 52, 52, 448, 238, 616, 196, 160, 25, 4], [1, 53, 44, 476, 182, 686, 140, 188, 17, 5], [1, 54, 36, 504, 126, 756, 84, 216, 9, 6], [1, 55, 28, 532, 70, 826, 28, 244, 1, 7], [2, 40, 112, 280, 532, 280, 448, 40, 58, 0], [2, 41, 104, 308, 476, 350, 392, 68, 50, 1], [2, 42, 96, 336, 420, 420, 336, 96, 42, 2], [2, 43, 88, 364, 364, 490, 280, 124, 34, 3], [2, 44, 80, 392, 308, 560, 224, 152, 26, 4], [2, 45, 72, 420, 252, 630, 168, 180, 18, 5], [2, 46, 64, 448, 196, 700, 112, 208, 10, 6], [2, 47, 56, 476, 140, 770, 56, 236, 2, 7], [3, 32, 140, 224, 602, 224, 476, 32, 59, 0], [3, 33, 132, 252, 546, 294, 420, 60, 51, 1], [3, 34, 124, 280, 490, 364, 364, 88, 43, 2], [3, 35, 116, 308, 434, 434, 308, 116, 35, 3], [3, 36, 108, 336, 378, 504, 252, 144, 27, 4], [3, 37, 100, 364, 322, 574, 196, 172, 19, 5], [3, 38, 92, 392, 266, 644, 140, 200, 11, 6], [3, 39, 84, 420, 210, 714, 84, 228, 3, 7], [4, 24, 168, 168, 672, 168, 504, 24, 60, 0], [4, 25, 160, 196, 616, 238, 448, 52, 52, 1], [4, 26, 152, 224, 560, 308, 392, 80, 44, 2], [4, 27, 144, 252, 504, 378, 336, 108, 36, 3], [4, 28, 136, 280, 448, 448, 280, 136, 28, 4], [4, 29, 128, 308, 392, 518, 224, 164, 20, 5], [4, 30, 120, 336, 336, 588, 168, 192, 12, 6], [4, 31, 112, 364, 280, 658, 112, 220, 4, 7], [5, 16, 196, 112, 742, 112, 532, 16, 61, 0], [5, 17, 188, 140, 686, 182, 476, 44, 53, 1], [5, 18, 180, 168, 630, 252, 420, 72, 45, 2], [5, 19, 172, 196, 574, 322, 364, 100, 37, 3], [5, 20, 164, 224, 518, 392, 308, 128, 29, 4], [5, 21, 156, 252, 462, 462, 252, 156, 21, 5], [5, 22, 148, 280, 406, 532, 196, 184, 13, 6], [5, 23, 140, 308, 350, 602, 140, 212, 5, 7], [6, 8, 224, 56, 812, 56, 560, 8, 62, 0], [6, 9, 216, 84, 756, 126, 504, 36, 54, 1], [6, 10, 208, 112, 700, 196, 448, 64, 46, 2], [6, 11, 200, 140, 644, 266, 392, 92, 38, 3], [6, 12, 192, 168, 588, 336, 336, 120, 30, 4], [6, 13, 184, 196, 532, 406, 280, 148, 22, 5], [6, 14, 176, 224, 476, 476, 224, 176, 14, 6], [6, 15, 168, 252, 420, 546, 168, 204, 6, 7], [7, 0, 252, 0, 882, 0, 588, 0, 63, 0], [7, 1, 244, 28, 826, 70, 532, 28, 55, 1], [7, 2, 236, 56, 770, 140, 476, 56, 47, 2], [7, 3, 228, 84, 714, 210, 420, 84, 39, 3], [7, 4, 220, 112, 658, 280, 364, 112, 31, 4], [7, 5, 212, 140, 602, 350, 308, 140, 23, 5], [7, 6, 204, 168, 546, 420, 252, 168, 15, 6], [7, 7, 196, 196, 490, 490, 196, 196, 7, 7], [8, 0, 216, 168, 504, 504, 168, 216, 0, 8]}
(10, 1792, 7) has 226 possible DDs: {[1, 16, 116, 56, 686, 56, 644, 104, 89, 24, 0], [1, 16, 117, 48, 714, 0, 714, 48, 117, 16, 1], [1, 17, 108, 84, 630, 126, 588, 132, 81, 25, 0], [1, 17, 109, 76, 658, 70, 658, 76, 109, 17, 1], [1, 17, 110, 68, 686, 14, 728, 20, 137, 9, 2], [1, 18, 100, 112, 574, 196, 532, 160, 73, 26, 0], [1, 18, 101, 104, 602, 140, 602, 104, 101, 18, 1], [1, 18, 102, 96, 630, 84, 672, 48, 129, 10, 2], [1, 19, 92, 140, 518, 266, 476, 188, 65, 27, 0], [1, 19, 93, 132, 546, 210, 546, 132, 93, 19, 1], [1, 19, 94, 124, 574, 154, 616, 76, 121, 11, 2], [1, 19, 95, 116, 602, 98, 686, 20, 149, 3, 3], [1, 20, 84, 168, 462, 336, 420, 216, 57, 28, 0], [1, 20, 85, 160, 490, 280, 490, 160, 85, 20, 1], [1, 20, 86, 152, 518, 224, 560, 104, 113, 12, 2], [1, 20, 87, 144, 546, 168, 630, 48, 141, 4, 3], [1, 21, 76, 196, 406, 406, 364, 244, 49, 29, 0], [1, 21, 77, 188, 434, 350, 434, 188, 77, 21, 1], [1, 21, 78, 180, 462, 294, 504, 132, 105, 13, 2], [1, 21, 79, 172, 490, 238, 574, 76, 133, 5, 3], [1, 22, 68, 224, 350, 476, 308, 272, 41, 30, 0], [1, 22, 69, 216, 378, 420, 378, 216, 69, 22, 1], [1, 22, 70, 208, 406, 364, 448, 160, 97, 14, 2], [1, 22, 71, 200, 434, 308, 518, 104, 125, 6, 3], [1, 23, 60, 252, 294, 546, 252, 300, 33, 31, 0], [1, 23, 61, 244, 322, 490, 322, 244, 61, 23, 1], [1, 23, 62, 236, 350, 434, 392, 188, 89, 15, 2], [1, 23, 63, 228, 378, 378, 462, 132, 117, 7, 3], [1, 24, 52, 280, 238, 616, 196, 328, 25, 32, 0], [1, 24, 53, 272, 266, 560, 266, 272, 53, 24, 1], [1, 24, 54, 264, 294, 504, 336, 216, 81, 16, 2], [1, 24, 55, 256, 322, 448, 406, 160, 109, 8, 3], [1, 24, 56, 248, 350, 392, 476, 104, 137, 0, 4], [1, 25, 44, 308, 182, 686, 140, 356, 17, 33, 0], [1, 25, 45, 300, 210, 630, 210, 300, 45, 25, 1], [1, 25, 46, 292, 238, 574, 280, 244, 73, 17, 2], [1, 25, 47, 284, 266, 518, 350, 188, 101, 9, 3], [1, 25, 48, 276, 294, 462, 420, 132, 129, 1, 4], [1, 26, 36, 336, 126, 756, 84, 384, 9, 34, 0], [1, 26, 37, 328, 154, 700, 154, 328, 37, 26, 1], [1, 26, 38, 320, 182, 644, 224, 272, 65, 18, 2], [1, 26, 39, 312, 210, 588, 294, 216, 93, 10, 3], [1, 26, 40, 304, 238, 532, 364, 160, 121, 2, 4], [1, 27, 28, 364, 70, 826, 28, 412, 1, 35, 0], [1, 27, 29, 356, 98, 770, 98, 356, 29, 27, 1], [1, 27, 30, 348, 126, 714, 168, 300, 57, 19, 2], [1, 27, 31, 340, 154, 658, 238, 244, 85, 11, 3], [1, 27, 32, 332, 182, 602, 308, 188, 113, 3, 4], [1, 28, 21, 384, 42, 840, 42, 384, 21, 28, 1], [1, 28, 22, 376, 70, 784, 112, 328, 49, 20, 2], [1, 28, 23, 368, 98, 728, 182, 272, 77, 12, 3], [1, 28, 24, 360, 126, 672, 252, 216, 105, 4, 4], [1, 29, 14, 404, 14, 854, 56, 356, 41, 21, 2], [1, 29, 15, 396, 42, 798, 126, 300, 69, 13, 3], [1, 29, 16, 388, 70, 742, 196, 244, 97, 5, 4], [1, 30, 8, 416, 14, 812, 140, 272, 89, 6, 4], [2, 8, 144, 0, 756, 0, 672, 96, 90, 24, 0], [2, 9, 136, 28, 700, 70, 616, 124, 82, 25, 0], [2, 9, 137, 20, 728, 14, 686, 68, 110, 17, 1], [2, 10, 128, 56, 644, 140, 560, 152, 74, 26, 0], [2, 10, 129, 48, 672, 84, 630, 96, 102, 18, 1], [2, 10, 130, 40, 700, 28, 700, 40, 130, 10, 2], [2, 11, 120, 84, 588, 210, 504, 180, 66, 27, 0], [2, 11, 121, 76, 616, 154, 574, 124, 94, 19, 1], [2, 11, 122, 68, 644, 98, 644, 68, 122, 11, 2], [2, 11, 123, 60, 672, 42, 714, 12, 150, 3, 3], [2, 12, 112, 112, 532, 280, 448, 208, 58, 28, 0], [2, 12, 113, 104, 560, 224, 518, 152, 86, 20, 1], [2, 12, 114, 96, 588, 168, 588, 96, 114, 12, 2], [2, 12, 115, 88, 616, 112, 658, 40, 142, 4, 3], [2, 13, 104, 140, 476, 350, 392, 236, 50, 29, 0], [2, 13, 105, 132, 504, 294, 462, 180, 78, 21, 1], [2, 13, 106, 124, 532, 238, 532, 124, 106, 13, 2], [2, 13, 107, 116, 560, 182, 602, 68, 134, 5, 3], [2, 14, 96, 168, 420, 420, 336, 264, 42, 30, 0], [2, 14, 97, 160, 448, 364, 406, 208, 70, 22, 1], [2, 14, 98, 152, 476, 308, 476, 152, 98, 14, 2], [2, 14, 99, 144, 504, 252, 546, 96, 126, 6, 3], [2, 15, 88, 196, 364, 490, 280, 292, 34, 31, 0], [2, 15, 89, 188, 392, 434, 350, 236, 62, 23, 1], [2, 15, 90, 180, 420, 378, 420, 180, 90, 15, 2], [2, 15, 91, 172, 448, 322, 490, 124, 118, 7, 3], [2, 16, 80, 224, 308, 560, 224, 320, 26, 32, 0], [2, 16, 81, 216, 336, 504, 294, 264, 54, 24, 1], [2, 16, 82, 208, 364, 448, 364, 208, 82, 16, 2], [2, 16, 83, 200, 392, 392, 434, 152, 110, 8, 3], [2, 16, 84, 192, 420, 336, 504, 96, 138, 0, 4], [2, 17, 72, 252, 252, 630, 168, 348, 18, 33, 0], [2, 17, 73, 244, 280, 574, 238, 292, 46, 25, 1], [2, 17, 74, 236, 308, 518, 308, 236, 74, 17, 2], [2, 17, 75, 228, 336, 462, 378, 180, 102, 9, 3], [2, 17, 76, 220, 364, 406, 448, 124, 130, 1, 4], [2, 18, 64, 280, 196, 700, 112, 376, 10, 34, 0], [2, 18, 65, 272, 224, 644, 182, 320, 38, 26, 1], [2, 18, 66, 264, 252, 588, 252, 264, 66, 18, 2], [2, 18, 67, 256, 280, 532, 322, 208, 94, 10, 3], [2, 18, 68, 248, 308, 476, 392, 152, 122, 2, 4], [2, 19, 56, 308, 140, 770, 56, 404, 2, 35, 0], [2, 19, 57, 300, 168, 714, 126, 348, 30, 27, 1], [2, 19, 58, 292, 196, 658, 196, 292, 58, 19, 2], [2, 19, 59, 284, 224, 602, 266, 236, 86, 11, 3], [2, 19, 60, 276, 252, 546, 336, 180, 114, 3, 4], [2, 20, 49, 328, 112, 784, 70, 376, 22, 28, 1], [2, 20, 50, 320, 140, 728, 140, 320, 50, 20, 2], [2, 20, 51, 312, 168, 672, 210, 264, 78, 12, 3], [2, 20, 52, 304, 196, 616, 280, 208, 106, 4, 4], [2, 21, 41, 356, 56, 854, 14, 404, 14, 29, 1], [2, 21, 42, 348, 84, 798, 84, 348, 42, 21, 2], [2, 21, 43, 340, 112, 742, 154, 292, 70, 13, 3], [2, 21, 44, 332, 140, 686, 224, 236, 98, 5, 4], [2, 22, 34, 376, 28, 868, 28, 376, 34, 22, 2], [2, 22, 35, 368, 56, 812, 98, 320, 62, 14, 3], [2, 22, 36, 360, 84, 756, 168, 264, 90, 6, 4], [2, 23, 27, 396, 0, 882, 42, 348, 54, 15, 3], [2, 23, 28, 388, 28, 826, 112, 292, 82, 7, 4], [2, 24, 21, 408, 0, 840, 126, 264, 102, 0, 5], [3, 2, 156, 0, 714, 84, 588, 144, 75, 26, 0], [3, 3, 148, 28, 658, 154, 532, 172, 67, 27, 0], [3, 3, 149, 20, 686, 98, 602, 116, 95, 19, 1], [3, 3, 150, 12, 714, 42, 672, 60, 123, 11, 2], [3, 4, 140, 56, 602, 224, 476, 200, 59, 28, 0], [3, 4, 141, 48, 630, 168, 546, 144, 87, 20, 1], [3, 4, 142, 40, 658, 112, 616, 88, 115, 12, 2], [3, 4, 143, 32, 686, 56, 686, 32, 143, 4, 3], [3, 5, 132, 84, 546, 294, 420, 228, 51, 29, 0], [3, 5, 133, 76, 574, 238, 490, 172, 79, 21, 1], [3, 5, 134, 68, 602, 182, 560, 116, 107, 13, 2], [3, 5, 135, 60, 630, 126, 630, 60, 135, 5, 3], [3, 6, 124, 112, 490, 364, 364, 256, 43, 30, 0], [3, 6, 125, 104, 518, 308, 434, 200, 71, 22, 1], [3, 6, 126, 96, 546, 252, 504, 144, 99, 14, 2], [3, 6, 127, 88, 574, 196, 574, 88, 127, 6, 3], [3, 7, 116, 140, 434, 434, 308, 284, 35, 31, 0], [3, 7, 117, 132, 462, 378, 378, 228, 63, 23, 1], [3, 7, 118, 124, 490, 322, 448, 172, 91, 15, 2], [3, 7, 119, 116, 518, 266, 518, 116, 119, 7, 3], [3, 8, 108, 168, 378, 504, 252, 312, 27, 32, 0], [3, 8, 109, 160, 406, 448, 322, 256, 55, 24, 1], [3, 8, 110, 152, 434, 392, 392, 200, 83, 16, 2], [3, 8, 111, 144, 462, 336, 462, 144, 111, 8, 3], [3, 8, 112, 136, 490, 280, 532, 88, 139, 0, 4], [3, 9, 100, 196, 322, 574, 196, 340, 19, 33, 0], [3, 9, 101, 188, 350, 518, 266, 284, 47, 25, 1], [3, 9, 102, 180, 378, 462, 336, 228, 75, 17, 2], [3, 9, 103, 172, 406, 406, 406, 172, 103, 9, 3], [3, 9, 104, 164, 434, 350, 476, 116, 131, 1, 4], [3, 10, 92, 224, 266, 644, 140, 368, 11, 34, 0], [3, 10, 93, 216, 294, 588, 210, 312, 39, 26, 1], [3, 10, 94, 208, 322, 532, 280, 256, 67, 18, 2], [3, 10, 95, 200, 350, 476, 350, 200, 95, 10, 3], [3, 10, 96, 192, 378, 420, 420, 144, 123, 2, 4], [3, 11, 84, 252, 210, 714, 84, 396, 3, 35, 0], [3, 11, 85, 244, 238, 658, 154, 340, 31, 27, 1], [3, 11, 86, 236, 266, 602, 224, 284, 59, 19, 2], [3, 11, 87, 228, 294, 546, 294, 228, 87, 11, 3], [3, 11, 88, 220, 322, 490, 364, 172, 115, 3, 4], [3, 12, 77, 272, 182, 728, 98, 368, 23, 28, 1], [3, 12, 78, 264, 210, 672, 168, 312, 51, 20, 2], [3, 12, 79, 256, 238, 616, 238, 256, 79, 12, 3], [3, 12, 80, 248, 266, 560, 308, 200, 107, 4, 4], [3, 13, 69, 300, 126, 798, 42, 396, 15, 29, 1], [3, 13, 70, 292, 154, 742, 112, 340, 43, 21, 2], [3, 13, 71, 284, 182, 686, 182, 284, 71, 13, 3], [3, 13, 72, 276, 210, 630, 252, 228, 99, 5, 4], [3, 14, 62, 320, 98, 812, 56, 368, 35, 22, 2], [3, 14, 63, 312, 126, 756, 126, 312, 63, 14, 3], [3, 14, 64, 304, 154, 700, 196, 256, 91, 6, 4], [3, 15, 54, 348, 42, 882, 0, 396, 27, 23, 2], [3, 15, 55, 340, 70, 826, 70, 340, 55, 15, 3], [3, 15, 56, 332, 98, 770, 140, 284, 83, 7, 4], [3, 16, 47, 368, 14, 896, 14, 368, 47, 16, 3], [3, 16, 48, 360, 42, 840, 84, 312, 75, 8, 4], [3, 16, 49, 352, 70, 784, 154, 256, 103, 0, 5], [3, 17, 41, 380, 14, 854, 98, 284, 95, 1, 5], [4, 0, 136, 112, 448, 448, 280, 304, 28, 32, 0], [4, 0, 137, 104, 476, 392, 350, 248, 56, 24, 1], [4, 0, 138, 96, 504, 336, 420, 192, 84, 16, 2], [4, 0, 139, 88, 532, 280, 490, 136, 112, 8, 3], [4, 0, 140, 80, 560, 224, 560, 80, 140, 0, 4], [4, 1, 128, 140, 392, 518, 224, 332, 20, 33, 0], [4, 1, 129, 132, 420, 462, 294, 276, 48, 25, 1], [4, 1, 130, 124, 448, 406, 364, 220, 76, 17, 2], [4, 1, 131, 116, 476, 350, 434, 164, 104, 9, 3], [4, 1, 132, 108, 504, 294, 504, 108, 132, 1, 4], [4, 2, 120, 168, 336, 588, 168, 360, 12, 34, 0], [4, 2, 121, 160, 364, 532, 238, 304, 40, 26, 1], [4, 2, 122, 152, 392, 476, 308, 248, 68, 18, 2], [4, 2, 123, 144, 420, 420, 378, 192, 96, 10, 3], [4, 2, 124, 136, 448, 364, 448, 136, 124, 2, 4], [4, 3, 112, 196, 280, 658, 112, 388, 4, 35, 0], [4, 3, 113, 188, 308, 602, 182, 332, 32, 27, 1], [4, 3, 114, 180, 336, 546, 252, 276, 60, 19, 2], [4, 3, 115, 172, 364, 490, 322, 220, 88, 11, 3], [4, 3, 116, 164, 392, 434, 392, 164, 116, 3, 4], [4, 4, 105, 216, 252, 672, 126, 360, 24, 28, 1], [4, 4, 106, 208, 280, 616, 196, 304, 52, 20, 2], [4, 4, 107, 200, 308, 560, 266, 248, 80, 12, 3], [4, 4, 108, 192, 336, 504, 336, 192, 108, 4, 4], [4, 5, 97, 244, 196, 742, 70, 388, 16, 29, 1], [4, 5, 98, 236, 224, 686, 140, 332, 44, 21, 2], [4, 5, 99, 228, 252, 630, 210, 276, 72, 13, 3], [4, 5, 100, 220, 280, 574, 280, 220, 100, 5, 4], [4, 6, 89, 272, 140, 812, 14, 416, 8, 30, 1], [4, 6, 90, 264, 168, 756, 84, 360, 36, 22, 2], [4, 6, 91, 256, 196, 700, 154, 304, 64, 14, 3], [4, 6, 92, 248, 224, 644, 224, 248, 92, 6, 4], [4, 7, 82, 292, 112, 826, 28, 388, 28, 23, 2], [4, 7, 83, 284, 140, 770, 98, 332, 56, 15, 3], [4, 7, 84, 276, 168, 714, 168, 276, 84, 7, 4], [4, 8, 75, 312, 84, 840, 42, 360, 48, 16, 3], [4, 8, 76, 304, 112, 784, 112, 304, 76, 8, 4], [4, 8, 77, 296, 140, 728, 182, 248, 104, 0, 5], [4, 9, 68, 332, 56, 854, 56, 332, 68, 9, 4], [4, 9, 69, 324, 84, 798, 126, 276, 96, 1, 5], [4, 10, 60, 360, 0, 924, 0, 360, 60, 10, 4], [4, 10, 61, 352, 28, 868, 70, 304, 88, 2, 5], [5, 0, 102, 264, 126, 840, 0, 408, 21, 24, 2], [5, 0, 103, 256, 154, 784, 70, 352, 49, 16, 3], [5, 0, 104, 248, 182, 728, 140, 296, 77, 8, 4], [5, 0, 105, 240, 210, 672, 210, 240, 105, 0, 5], [5, 1, 95, 284, 98, 854, 14, 380, 41, 17, 3], [5, 1, 96, 276, 126, 798, 84, 324, 69, 9, 4], [5, 1, 97, 268, 154, 742, 154, 268, 97, 1, 5], [5, 2, 88, 304, 70, 868, 28, 352, 61, 10, 4], [5, 2, 89, 296, 98, 812, 98, 296, 89, 2, 5], [5, 3, 81, 324, 42, 882, 42, 324, 81, 3, 5]}
(11, 1792, 7) has 731 possible DDs: {[1, 2, 96, 20, 434, 392, 224, 524, 5, 86, 8, 0], [1, 2, 97, 12, 462, 336, 294, 468, 33, 78, 9, 0], [1, 2, 98, 4, 490, 280, 364, 412, 61, 70, 10, 0], [1, 2, 98, 5, 482, 308, 308, 482, 5, 98, 2, 1], [1, 3, 89, 40, 406, 406, 238, 496, 25, 79, 9, 0], [1, 3, 90, 32, 434, 350, 308, 440, 53, 71, 10, 0], [1, 3, 91, 24, 462, 294, 378, 384, 81, 63, 11, 0], [1, 3, 91, 25, 454, 322, 322, 454, 25, 91, 3, 1], [1, 3, 92, 16, 490, 238, 448, 328, 109, 55, 12, 0], [1, 3, 92, 17, 482, 266, 392, 398, 53, 83, 4, 1], [1, 3, 93, 8, 518, 182, 518, 272, 137, 47, 13, 0], [1, 3, 93, 9, 510, 210, 462, 342, 81, 75, 5, 1], [1, 3, 94, 0, 546, 126, 588, 216, 165, 39, 14, 0], [1, 3, 94, 1, 538, 154, 532, 286, 109, 67, 6, 1], [1, 4, 81, 68, 350, 476, 182, 524, 17, 80, 9, 0], [1, 4, 82, 60, 378, 420, 252, 468, 45, 72, 10, 0], [1, 4, 83, 52, 406, 364, 322, 412, 73, 64, 11, 0], [1, 4, 83, 53, 398, 392, 266, 482, 17, 92, 3, 1], [1, 4, 84, 44, 434, 308, 392, 356, 101, 56, 12, 0], [1, 4, 84, 45, 426, 336, 336, 426, 45, 84, 4, 1], [1, 4, 85, 36, 462, 252, 462, 300, 129, 48, 13, 0], [1, 4, 85, 37, 454, 280, 406, 370, 73, 76, 5, 1], [1, 4, 86, 28, 490, 196, 532, 244, 157, 40, 14, 0], [1, 4, 86, 29, 482, 224, 476, 314, 101, 68, 6, 1], [1, 4, 87, 20, 518, 140, 602, 188, 185, 32, 15, 0], [1, 4, 87, 21, 510, 168, 546, 258, 129, 60, 7, 1], [1, 4, 88, 12, 546, 84, 672, 132, 213, 24, 16, 0], [1, 4, 88, 13, 538, 112, 616, 202, 157, 52, 8, 1], [1, 4, 88, 14, 530, 140, 560, 272, 101, 80, 0, 2], [1, 4, 89, 4, 574, 28, 742, 76, 241, 16, 17, 0], [1, 4, 89, 5, 566, 56, 686, 146, 185, 44, 9, 1], [1, 4, 89, 6, 558, 84, 630, 216, 129, 72, 1, 2], [1, 5, 73, 96, 294, 546, 126, 552, 9, 81, 9, 0], [1, 5, 74, 88, 322, 490, 196, 496, 37, 73, 10, 0], [1, 5, 75, 80, 350, 434, 266, 440, 65, 65, 11, 0], [1, 5, 75, 81, 342, 462, 210, 510, 9, 93, 3, 1], [1, 5, 76, 72, 378, 378, 336, 384, 93, 57, 12, 0], [1, 5, 76, 73, 370, 406, 280, 454, 37, 85, 4, 1], [1, 5, 77, 64, 406, 322, 406, 328, 121, 49, 13, 0], [1, 5, 77, 65, 398, 350, 350, 398, 65, 77, 5, 1], [1, 5, 78, 56, 434, 266, 476, 272, 149, 41, 14, 0], [1, 5, 78, 57, 426, 294, 420, 342, 93, 69, 6, 1], [1, 5, 79, 48, 462, 210, 546, 216, 177, 33, 15, 0], [1, 5, 79, 49, 454, 238, 490, 286, 121, 61, 7, 1], [1, 5, 80, 40, 490, 154, 616, 160, 205, 25, 16, 0], [1, 5, 80, 41, 482, 182, 560, 230, 149, 53, 8, 1], [1, 5, 80, 42, 474, 210, 504, 300, 93, 81, 0, 2], [1, 5, 81, 32, 518, 98, 686, 104, 233, 17, 17, 0], [1, 5, 81, 33, 510, 126, 630, 174, 177, 45, 9, 1], [1, 5, 81, 34, 502, 154, 574, 244, 121, 73, 1, 2], [1, 5, 82, 24, 546, 42, 756, 48, 261, 9, 18, 0], [1, 5, 82, 25, 538, 70, 700, 118, 205, 37, 10, 1], [1, 5, 82, 26, 530, 98, 644, 188, 149, 65, 2, 2], [1, 5, 83, 17, 566, 14, 770, 62, 233, 29, 11, 1], [1, 5, 83, 18, 558, 42, 714, 132, 177, 57, 3, 2], [1, 6, 65, 124, 238, 616, 70, 580, 1, 82, 9, 0], [1, 6, 66, 116, 266, 560, 140, 524, 29, 74, 10, 0], [1, 6, 67, 108, 294, 504, 210, 468, 57, 66, 11, 0], [1, 6, 67, 109, 286, 532, 154, 538, 1, 94, 3, 1], [1, 6, 68, 100, 322, 448, 280, 412, 85, 58, 12, 0], [1, 6, 68, 101, 314, 476, 224, 482, 29, 86, 4, 1], [1, 6, 69, 92, 350, 392, 350, 356, 113, 50, 13, 0], [1, 6, 69, 93, 342, 420, 294, 426, 57, 78, 5, 1], [1, 6, 70, 84, 378, 336, 420, 300, 141, 42, 14, 0], [1, 6, 70, 85, 370, 364, 364, 370, 85, 70, 6, 1], [1, 6, 71, 76, 406, 280, 490, 244, 169, 34, 15, 0], [1, 6, 71, 77, 398, 308, 434, 314, 113, 62, 7, 1], [1, 6, 72, 68, 434, 224, 560, 188, 197, 26, 16, 0], [1, 6, 72, 69, 426, 252, 504, 258, 141, 54, 8, 1], [1, 6, 72, 70, 418, 280, 448, 328, 85, 82, 0, 2], [1, 6, 73, 60, 462, 168, 630, 132, 225, 18, 17, 0], [1, 6, 73, 61, 454, 196, 574, 202, 169, 46, 9, 1], [1, 6, 73, 62, 446, 224, 518, 272, 113, 74, 1, 2], [1, 6, 74, 52, 490, 112, 700, 76, 253, 10, 18, 0], [1, 6, 74, 53, 482, 140, 644, 146, 197, 38, 10, 1], [1, 6, 74, 54, 474, 168, 588, 216, 141, 66, 2, 2], [1, 6, 75, 44, 518, 56, 770, 20, 281, 2, 19, 0], [1, 6, 75, 45, 510, 84, 714, 90, 225, 30, 11, 1], [1, 6, 75, 46, 502, 112, 658, 160, 169, 58, 3, 2], [1, 6, 76, 37, 538, 28, 784, 34, 253, 22, 12, 1], [1, 6, 76, 38, 530, 56, 728, 104, 197, 50, 4, 2], [1, 6, 77, 30, 558, 0, 798, 48, 225, 42, 5, 2], [1, 7, 58, 144, 210, 630, 84, 552, 21, 75, 10, 0], [1, 7, 59, 136, 238, 574, 154, 496, 49, 67, 11, 0], [1, 7, 60, 128, 266, 518, 224, 440, 77, 59, 12, 0], [1, 7, 60, 129, 258, 546, 168, 510, 21, 87, 4, 1], [1, 7, 61, 120, 294, 462, 294, 384, 105, 51, 13, 0], [1, 7, 61, 121, 286, 490, 238, 454, 49, 79, 5, 1], [1, 7, 62, 112, 322, 406, 364, 328, 133, 43, 14, 0], [1, 7, 62, 113, 314, 434, 308, 398, 77, 71, 6, 1], [1, 7, 63, 104, 350, 350, 434, 272, 161, 35, 15, 0], [1, 7, 63, 105, 342, 378, 378, 342, 105, 63, 7, 1], [1, 7, 64, 96, 378, 294, 504, 216, 189, 27, 16, 0], [1, 7, 64, 97, 370, 322, 448, 286, 133, 55, 8, 1], [1, 7, 64, 98, 362, 350, 392, 356, 77, 83, 0, 2], [1, 7, 65, 88, 406, 238, 574, 160, 217, 19, 17, 0], [1, 7, 65, 89, 398, 266, 518, 230, 161, 47, 9, 1], [1, 7, 65, 90, 390, 294, 462, 300, 105, 75, 1, 2], [1, 7, 66, 80, 434, 182, 644, 104, 245, 11, 18, 0], [1, 7, 66, 81, 426, 210, 588, 174, 189, 39, 10, 1], [1, 7, 66, 82, 418, 238, 532, 244, 133, 67, 2, 2], [1, 7, 67, 72, 462, 126, 714, 48, 273, 3, 19, 0], [1, 7, 67, 73, 454, 154, 658, 118, 217, 31, 11, 1], [1, 7, 67, 74, 446, 182, 602, 188, 161, 59, 3, 2], [1, 7, 68, 65, 482, 98, 728, 62, 245, 23, 12, 1], [1, 7, 68, 66, 474, 126, 672, 132, 189, 51, 4, 2], [1, 7, 69, 57, 510, 42, 798, 6, 273, 15, 13, 1], [1, 7, 69, 58, 502, 70, 742, 76, 217, 43, 5, 2], [1, 7, 70, 50, 530, 14, 812, 20, 245, 35, 6, 2], [1, 8, 50, 172, 154, 700, 28, 580, 13, 76, 10, 0], [1, 8, 51, 164, 182, 644, 98, 524, 41, 68, 11, 0], [1, 8, 52, 156, 210, 588, 168, 468, 69, 60, 12, 0], [1, 8, 52, 157, 202, 616, 112, 538, 13, 88, 4, 1], [1, 8, 53, 148, 238, 532, 238, 412, 97, 52, 13, 0], [1, 8, 53, 149, 230, 560, 182, 482, 41, 80, 5, 1], [1, 8, 54, 140, 266, 476, 308, 356, 125, 44, 14, 0], [1, 8, 54, 141, 258, 504, 252, 426, 69, 72, 6, 1], [1, 8, 55, 132, 294, 420, 378, 300, 153, 36, 15, 0], [1, 8, 55, 133, 286, 448, 322, 370, 97, 64, 7, 1], [1, 8, 56, 124, 322, 364, 448, 244, 181, 28, 16, 0], [1, 8, 56, 125, 314, 392, 392, 314, 125, 56, 8, 1], [1, 8, 56, 126, 306, 420, 336, 384, 69, 84, 0, 2], [1, 8, 57, 116, 350, 308, 518, 188, 209, 20, 17, 0], [1, 8, 57, 117, 342, 336, 462, 258, 153, 48, 9, 1], [1, 8, 57, 118, 334, 364, 406, 328, 97, 76, 1, 2], [1, 8, 58, 108, 378, 252, 588, 132, 237, 12, 18, 0], [1, 8, 58, 109, 370, 280, 532, 202, 181, 40, 10, 1], [1, 8, 58, 110, 362, 308, 476, 272, 125, 68, 2, 2], [1, 8, 59, 100, 406, 196, 658, 76, 265, 4, 19, 0], [1, 8, 59, 101, 398, 224, 602, 146, 209, 32, 11, 1], [1, 8, 59, 102, 390, 252, 546, 216, 153, 60, 3, 2], [1, 8, 60, 93, 426, 168, 672, 90, 237, 24, 12, 1], [1, 8, 60, 94, 418, 196, 616, 160, 181, 52, 4, 2], [1, 8, 61, 85, 454, 112, 742, 34, 265, 16, 13, 1], [1, 8, 61, 86, 446, 140, 686, 104, 209, 44, 5, 2], [1, 8, 62, 78, 474, 84, 756, 48, 237, 36, 6, 2], [1, 8, 64, 63, 522, 0, 840, 6, 237, 48, 0, 3], [1, 9, 43, 192, 126, 714, 42, 552, 33, 69, 11, 0], [1, 9, 44, 184, 154, 658, 112, 496, 61, 61, 12, 0], [1, 9, 44, 185, 146, 686, 56, 566, 5, 89, 4, 1], [1, 9, 45, 176, 182, 602, 182, 440, 89, 53, 13, 0], [1, 9, 45, 177, 174, 630, 126, 510, 33, 81, 5, 1], [1, 9, 46, 168, 210, 546, 252, 384, 117, 45, 14, 0], [1, 9, 46, 169, 202, 574, 196, 454, 61, 73, 6, 1], [1, 9, 47, 160, 238, 490, 322, 328, 145, 37, 15, 0], [1, 9, 47, 161, 230, 518, 266, 398, 89, 65, 7, 1], [1, 9, 48, 152, 266, 434, 392, 272, 173, 29, 16, 0], [1, 9, 48, 153, 258, 462, 336, 342, 117, 57, 8, 1], [1, 9, 48, 154, 250, 490, 280, 412, 61, 85, 0, 2], [1, 9, 49, 144, 294, 378, 462, 216, 201, 21, 17, 0], [1, 9, 49, 145, 286, 406, 406, 286, 145, 49, 9, 1], [1, 9, 49, 146, 278, 434, 350, 356, 89, 77, 1, 2], [1, 9, 50, 136, 322, 322, 532, 160, 229, 13, 18, 0], [1, 9, 50, 137, 314, 350, 476, 230, 173, 41, 10, 1], [1, 9, 50, 138, 306, 378, 420, 300, 117, 69, 2, 2], [1, 9, 51, 128, 350, 266, 602, 104, 257, 5, 19, 0], [1, 9, 51, 129, 342, 294, 546, 174, 201, 33, 11, 1], [1, 9, 51, 130, 334, 322, 490, 244, 145, 61, 3, 2], [1, 9, 52, 121, 370, 238, 616, 118, 229, 25, 12, 1], [1, 9, 52, 122, 362, 266, 560, 188, 173, 53, 4, 2], [1, 9, 53, 113, 398, 182, 686, 62, 257, 17, 13, 1], [1, 9, 53, 114, 390, 210, 630, 132, 201, 45, 5, 2], [1, 9, 54, 105, 426, 126, 756, 6, 285, 9, 14, 1], [1, 9, 54, 106, 418, 154, 700, 76, 229, 37, 6, 2], [1, 9, 55, 98, 446, 98, 770, 20, 257, 29, 7, 2], [1, 9, 56, 91, 466, 70, 784, 34, 229, 49, 0, 3], [1, 10, 36, 212, 98, 728, 56, 524, 53, 62, 12, 0], [1, 10, 37, 204, 126, 672, 126, 468, 81, 54, 13, 0], [1, 10, 37, 205, 118, 700, 70, 538, 25, 82, 5, 1], [1, 10, 38, 196, 154, 616, 196, 412, 109, 46, 14, 0], [1, 10, 38, 197, 146, 644, 140, 482, 53, 74, 6, 1], [1, 10, 39, 188, 182, 560, 266, 356, 137, 38, 15, 0], [1, 10, 39, 189, 174, 588, 210, 426, 81, 66, 7, 1], [1, 10, 40, 180, 210, 504, 336, 300, 165, 30, 16, 0], [1, 10, 40, 181, 202, 532, 280, 370, 109, 58, 8, 1], [1, 10, 40, 182, 194, 560, 224, 440, 53, 86, 0, 2], [1, 10, 41, 172, 238, 448, 406, 244, 193, 22, 17, 0], [1, 10, 41, 173, 230, 476, 350, 314, 137, 50, 9, 1], [1, 10, 41, 174, 222, 504, 294, 384, 81, 78, 1, 2], [1, 10, 42, 164, 266, 392, 476, 188, 221, 14, 18, 0], [1, 10, 42, 165, 258, 420, 420, 258, 165, 42, 10, 1], [1, 10, 42, 166, 250, 448, 364, 328, 109, 70, 2, 2], [1, 10, 43, 156, 294, 336, 546, 132, 249, 6, 19, 0], [1, 10, 43, 157, 286, 364, 490, 202, 193, 34, 11, 1], [1, 10, 43, 158, 278, 392, 434, 272, 137, 62, 3, 2], [1, 10, 44, 149, 314, 308, 560, 146, 221, 26, 12, 1], [1, 10, 44, 150, 306, 336, 504, 216, 165, 54, 4, 2], [1, 10, 45, 141, 342, 252, 630, 90, 249, 18, 13, 1], [1, 10, 45, 142, 334, 280, 574, 160, 193, 46, 5, 2], [1, 10, 46, 133, 370, 196, 700, 34, 277, 10, 14, 1], [1, 10, 46, 134, 362, 224, 644, 104, 221, 38, 6, 2], [1, 10, 47, 126, 390, 168, 714, 48, 249, 30, 7, 2], [1, 10, 48, 119, 410, 140, 728, 62, 221, 50, 0, 3], [1, 10, 49, 111, 438, 84, 798, 6, 249, 42, 1, 3], [1, 11, 28, 240, 42, 798, 0, 552, 45, 63, 12, 0], [1, 11, 29, 232, 70, 742, 70, 496, 73, 55, 13, 0], [1, 11, 29, 233, 62, 770, 14, 566, 17, 83, 5, 1], [1, 11, 30, 224, 98, 686, 140, 440, 101, 47, 14, 0], [1, 11, 30, 225, 90, 714, 84, 510, 45, 75, 6, 1], [1, 11, 31, 216, 126, 630, 210, 384, 129, 39, 15, 0], [1, 11, 31, 217, 118, 658, 154, 454, 73, 67, 7, 1], [1, 11, 32, 208, 154, 574, 280, 328, 157, 31, 16, 0], [1, 11, 32, 209, 146, 602, 224, 398, 101, 59, 8, 1], [1, 11, 32, 210, 138, 630, 168, 468, 45, 87, 0, 2], [1, 11, 33, 200, 182, 518, 350, 272, 185, 23, 17, 0], [1, 11, 33, 201, 174, 546, 294, 342, 129, 51, 9, 1], [1, 11, 33, 202, 166, 574, 238, 412, 73, 79, 1, 2], [1, 11, 34, 192, 210, 462, 420, 216, 213, 15, 18, 0], [1, 11, 34, 193, 202, 490, 364, 286, 157, 43, 10, 1], [1, 11, 34, 194, 194, 518, 308, 356, 101, 71, 2, 2], [1, 11, 35, 184, 238, 406, 490, 160, 241, 7, 19, 0], [1, 11, 35, 185, 230, 434, 434, 230, 185, 35, 11, 1], [1, 11, 35, 186, 222, 462, 378, 300, 129, 63, 3, 2], [1, 11, 36, 177, 258, 378, 504, 174, 213, 27, 12, 1], [1, 11, 36, 178, 250, 406, 448, 244, 157, 55, 4, 2], [1, 11, 37, 169, 286, 322, 574, 118, 241, 19, 13, 1], [1, 11, 37, 170, 278, 350, 518, 188, 185, 47, 5, 2], [1, 11, 38, 161, 314, 266, 644, 62, 269, 11, 14, 1], [1, 11, 38, 162, 306, 294, 588, 132, 213, 39, 6, 2], [1, 11, 39, 153, 342, 210, 714, 6, 297, 3, 15, 1], [1, 11, 39, 154, 334, 238, 658, 76, 241, 31, 7, 2], [1, 11, 40, 146, 362, 182, 728, 20, 269, 23, 8, 2], [1, 11, 40, 147, 354, 210, 672, 90, 213, 51, 0, 3], [1, 11, 41, 139, 382, 154, 742, 34, 241, 43, 1, 3], [1, 12, 21, 260, 14, 812, 14, 524, 65, 56, 13, 0], [1, 12, 22, 252, 42, 756, 84, 468, 93, 48, 14, 0], [1, 12, 22, 253, 34, 784, 28, 538, 37, 76, 6, 1], [1, 12, 23, 244, 70, 700, 154, 412, 121, 40, 15, 0], [1, 12, 23, 245, 62, 728, 98, 482, 65, 68, 7, 1], [1, 12, 24, 236, 98, 644, 224, 356, 149, 32, 16, 0], [1, 12, 24, 237, 90, 672, 168, 426, 93, 60, 8, 1], [1, 12, 24, 238, 82, 700, 112, 496, 37, 88, 0, 2], [1, 12, 25, 228, 126, 588, 294, 300, 177, 24, 17, 0], [1, 12, 25, 229, 118, 616, 238, 370, 121, 52, 9, 1], [1, 12, 25, 230, 110, 644, 182, 440, 65, 80, 1, 2], [1, 12, 26, 220, 154, 532, 364, 244, 205, 16, 18, 0], [1, 12, 26, 221, 146, 560, 308, 314, 149, 44, 10, 1], [1, 12, 26, 222, 138, 588, 252, 384, 93, 72, 2, 2], [1, 12, 27, 212, 182, 476, 434, 188, 233, 8, 19, 0], [1, 12, 27, 213, 174, 504, 378, 258, 177, 36, 11, 1], [1, 12, 27, 214, 166, 532, 322, 328, 121, 64, 3, 2], [1, 12, 28, 204, 210, 420, 504, 132, 261, 0, 20, 0], [1, 12, 28, 205, 202, 448, 448, 202, 205, 28, 12, 1], [1, 12, 28, 206, 194, 476, 392, 272, 149, 56, 4, 2], [1, 12, 29, 197, 230, 392, 518, 146, 233, 20, 13, 1], [1, 12, 29, 198, 222, 420, 462, 216, 177, 48, 5, 2], [1, 12, 30, 189, 258, 336, 588, 90, 261, 12, 14, 1], [1, 12, 30, 190, 250, 364, 532, 160, 205, 40, 6, 2], [1, 12, 31, 181, 286, 280, 658, 34, 289, 4, 15, 1], [1, 12, 31, 182, 278, 308, 602, 104, 233, 32, 7, 2], [1, 12, 32, 174, 306, 252, 672, 48, 261, 24, 8, 2], [1, 12, 32, 175, 298, 280, 616, 118, 205, 52, 0, 3], [1, 12, 33, 167, 326, 224, 686, 62, 233, 44, 1, 3], [1, 12, 34, 159, 354, 168, 756, 6, 261, 36, 2, 3], [1, 13, 15, 272, 14, 770, 98, 440, 113, 41, 15, 0], [1, 13, 15, 273, 6, 798, 42, 510, 57, 69, 7, 1], [1, 13, 16, 264, 42, 714, 168, 384, 141, 33, 16, 0], [1, 13, 16, 265, 34, 742, 112, 454, 85, 61, 8, 1], [1, 13, 16, 266, 26, 770, 56, 524, 29, 89, 0, 2], [1, 13, 17, 256, 70, 658, 238, 328, 169, 25, 17, 0], [1, 13, 17, 257, 62, 686, 182, 398, 113, 53, 9, 1], [1, 13, 17, 258, 54, 714, 126, 468, 57, 81, 1, 2], [1, 13, 18, 248, 98, 602, 308, 272, 197, 17, 18, 0], [1, 13, 18, 249, 90, 630, 252, 342, 141, 45, 10, 1], [1, 13, 18, 250, 82, 658, 196, 412, 85, 73, 2, 2], [1, 13, 19, 240, 126, 546, 378, 216, 225, 9, 19, 0], [1, 13, 19, 241, 118, 574, 322, 286, 169, 37, 11, 1], [1, 13, 19, 242, 110, 602, 266, 356, 113, 65, 3, 2], [1, 13, 20, 232, 154, 490, 448, 160, 253, 1, 20, 0], [1, 13, 20, 233, 146, 518, 392, 230, 197, 29, 12, 1], [1, 13, 20, 234, 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16, 288, 0, 714, 252, 264, 222, 5, 20, 0], [2, 9, 17, 281, 20, 686, 266, 278, 194, 25, 13, 1], [2, 9, 17, 282, 12, 714, 210, 348, 138, 53, 5, 2], [2, 9, 18, 273, 48, 630, 336, 222, 222, 17, 14, 1], [2, 9, 18, 274, 40, 658, 280, 292, 166, 45, 6, 2], [2, 9, 19, 265, 76, 574, 406, 166, 250, 9, 15, 1], [2, 9, 19, 266, 68, 602, 350, 236, 194, 37, 7, 2], [2, 9, 20, 257, 104, 518, 476, 110, 278, 1, 16, 1], [2, 9, 20, 258, 96, 546, 420, 180, 222, 29, 8, 2], [2, 9, 20, 259, 88, 574, 364, 250, 166, 57, 0, 3], [2, 9, 21, 250, 124, 490, 490, 124, 250, 21, 9, 2], [2, 9, 21, 251, 116, 518, 434, 194, 194, 49, 1, 3], [2, 9, 22, 242, 152, 434, 560, 68, 278, 13, 10, 2], [2, 9, 22, 243, 144, 462, 504, 138, 222, 41, 2, 3], [2, 9, 23, 234, 180, 378, 630, 12, 306, 5, 11, 2], [2, 9, 23, 235, 172, 406, 574, 82, 250, 33, 3, 3], [2, 9, 24, 227, 200, 350, 644, 26, 278, 25, 4, 3], [2, 10, 11, 293, 20, 644, 350, 194, 242, 10, 15, 1], [2, 10, 11, 294, 12, 672, 294, 264, 186, 38, 7, 2], [2, 10, 12, 285, 48, 588, 420, 138, 270, 2, 16, 1], [2, 10, 12, 286, 40, 616, 364, 208, 214, 30, 8, 2], [2, 10, 12, 287, 32, 644, 308, 278, 158, 58, 0, 3], [2, 10, 13, 278, 68, 560, 434, 152, 242, 22, 9, 2], [2, 10, 13, 279, 60, 588, 378, 222, 186, 50, 1, 3], [2, 10, 14, 270, 96, 504, 504, 96, 270, 14, 10, 2], [2, 10, 14, 271, 88, 532, 448, 166, 214, 42, 2, 3], [2, 10, 15, 262, 124, 448, 574, 40, 298, 6, 11, 2], [2, 10, 15, 263, 116, 476, 518, 110, 242, 34, 3, 3], [2, 10, 16, 255, 144, 420, 588, 54, 270, 26, 4, 3], [2, 11, 5, 306, 12, 630, 378, 180, 234, 23, 9, 2], [2, 11, 5, 307, 4, 658, 322, 250, 178, 51, 1, 3], [2, 11, 6, 298, 40, 574, 448, 124, 262, 15, 10, 2], [2, 11, 6, 299, 32, 602, 392, 194, 206, 43, 2, 3], [2, 11, 7, 290, 68, 518, 518, 68, 290, 7, 11, 2], [2, 11, 7, 291, 60, 546, 462, 138, 234, 35, 3, 3], [2, 11, 8, 283, 88, 490, 532, 82, 262, 27, 4, 3], [2, 11, 9, 275, 116, 434, 602, 26, 290, 19, 5, 3], [2, 12, 0, 310, 40, 532, 532, 40, 310, 0, 12, 2], [2, 12, 0, 311, 32, 560, 476, 110, 254, 28, 4, 3], [2, 12, 1, 303, 60, 504, 546, 54, 282, 20, 5, 3], [3, 0, 48, 236, 14, 812, 56, 452, 119, 36, 16, 0], [3, 0, 48, 237, 6, 840, 0, 522, 63, 64, 8, 1], [3, 0, 49, 228, 42, 756, 126, 396, 147, 28, 17, 0], [3, 0, 49, 229, 34, 784, 70, 466, 91, 56, 9, 1], [3, 0, 49, 230, 26, 812, 14, 536, 35, 84, 1, 2], [3, 0, 50, 220, 70, 700, 196, 340, 175, 20, 18, 0], [3, 0, 50, 221, 62, 728, 140, 410, 119, 48, 10, 1], [3, 0, 50, 222, 54, 756, 84, 480, 63, 76, 2, 2], [3, 0, 51, 212, 98, 644, 266, 284, 203, 12, 19, 0], [3, 0, 51, 213, 90, 672, 210, 354, 147, 40, 11, 1], [3, 0, 51, 214, 82, 700, 154, 424, 91, 68, 3, 2], [3, 0, 52, 204, 126, 588, 336, 228, 231, 4, 20, 0], [3, 0, 52, 205, 118, 616, 280, 298, 175, 32, 12, 1], [3, 0, 52, 206, 110, 644, 224, 368, 119, 60, 4, 2], [3, 0, 53, 197, 146, 560, 350, 242, 203, 24, 13, 1], [3, 0, 53, 198, 138, 588, 294, 312, 147, 52, 5, 2], [3, 0, 54, 189, 174, 504, 420, 186, 231, 16, 14, 1], [3, 0, 54, 190, 166, 532, 364, 256, 175, 44, 6, 2], [3, 0, 55, 181, 202, 448, 490, 130, 259, 8, 15, 1], [3, 0, 55, 182, 194, 476, 434, 200, 203, 36, 7, 2], [3, 0, 56, 173, 230, 392, 560, 74, 287, 0, 16, 1], [3, 0, 56, 174, 222, 420, 504, 144, 231, 28, 8, 2], [3, 0, 56, 175, 214, 448, 448, 214, 175, 56, 0, 3], [3, 0, 57, 166, 250, 364, 574, 88, 259, 20, 9, 2], [3, 0, 57, 167, 242, 392, 518, 158, 203, 48, 1, 3], [3, 0, 58, 158, 278, 308, 644, 32, 287, 12, 10, 2], [3, 0, 58, 159, 270, 336, 588, 102, 231, 40, 2, 3], [3, 0, 59, 151, 298, 280, 658, 46, 259, 32, 3, 3], [3, 1, 42, 248, 14, 770, 140, 368, 167, 21, 18, 0], [3, 1, 42, 249, 6, 798, 84, 438, 111, 49, 10, 1], [3, 1, 43, 240, 42, 714, 210, 312, 195, 13, 19, 0], [3, 1, 43, 241, 34, 742, 154, 382, 139, 41, 11, 1], [3, 1, 43, 242, 26, 770, 98, 452, 83, 69, 3, 2], [3, 1, 44, 232, 70, 658, 280, 256, 223, 5, 20, 0], [3, 1, 44, 233, 62, 686, 224, 326, 167, 33, 12, 1], [3, 1, 44, 234, 54, 714, 168, 396, 111, 61, 4, 2], [3, 1, 45, 225, 90, 630, 294, 270, 195, 25, 13, 1], [3, 1, 45, 226, 82, 658, 238, 340, 139, 53, 5, 2], [3, 1, 46, 217, 118, 574, 364, 214, 223, 17, 14, 1], [3, 1, 46, 218, 110, 602, 308, 284, 167, 45, 6, 2], [3, 1, 47, 209, 146, 518, 434, 158, 251, 9, 15, 1], [3, 1, 47, 210, 138, 546, 378, 228, 195, 37, 7, 2], [3, 1, 48, 201, 174, 462, 504, 102, 279, 1, 16, 1], [3, 1, 48, 202, 166, 490, 448, 172, 223, 29, 8, 2], [3, 1, 48, 203, 158, 518, 392, 242, 167, 57, 0, 3], [3, 1, 49, 194, 194, 434, 518, 116, 251, 21, 9, 2], [3, 1, 49, 195, 186, 462, 462, 186, 195, 49, 1, 3], [3, 1, 50, 186, 222, 378, 588, 60, 279, 13, 10, 2], [3, 1, 50, 187, 214, 406, 532, 130, 223, 41, 2, 3], [3, 1, 51, 178, 250, 322, 658, 4, 307, 5, 11, 2], [3, 1, 51, 179, 242, 350, 602, 74, 251, 33, 3, 3], [3, 1, 52, 171, 270, 294, 672, 18, 279, 25, 4, 3], [3, 2, 36, 260, 14, 728, 224, 284, 215, 6, 20, 0], [3, 2, 36, 261, 6, 756, 168, 354, 159, 34, 12, 1], [3, 2, 37, 253, 34, 700, 238, 298, 187, 26, 13, 1], [3, 2, 37, 254, 26, 728, 182, 368, 131, 54, 5, 2], [3, 2, 38, 245, 62, 644, 308, 242, 215, 18, 14, 1], [3, 2, 38, 246, 54, 672, 252, 312, 159, 46, 6, 2], [3, 2, 39, 237, 90, 588, 378, 186, 243, 10, 15, 1], [3, 2, 39, 238, 82, 616, 322, 256, 187, 38, 7, 2], [3, 2, 40, 229, 118, 532, 448, 130, 271, 2, 16, 1], [3, 2, 40, 230, 110, 560, 392, 200, 215, 30, 8, 2], [3, 2, 40, 231, 102, 588, 336, 270, 159, 58, 0, 3], [3, 2, 41, 222, 138, 504, 462, 144, 243, 22, 9, 2], [3, 2, 41, 223, 130, 532, 406, 214, 187, 50, 1, 3], [3, 2, 42, 214, 166, 448, 532, 88, 271, 14, 10, 2], [3, 2, 42, 215, 158, 476, 476, 158, 215, 42, 2, 3], [3, 2, 43, 206, 194, 392, 602, 32, 299, 6, 11, 2], [3, 2, 43, 207, 186, 420, 546, 102, 243, 34, 3, 3], [3, 2, 44, 199, 214, 364, 616, 46, 271, 26, 4, 3], [3, 3, 30, 273, 6, 714, 252, 270, 207, 19, 14, 1], [3, 3, 31, 265, 34, 658, 322, 214, 235, 11, 15, 1], [3, 3, 31, 266, 26, 686, 266, 284, 179, 39, 7, 2], [3, 3, 32, 257, 62, 602, 392, 158, 263, 3, 16, 1], [3, 3, 32, 258, 54, 630, 336, 228, 207, 31, 8, 2], [3, 3, 32, 259, 46, 658, 280, 298, 151, 59, 0, 3], [3, 3, 33, 250, 82, 574, 406, 172, 235, 23, 9, 2], [3, 3, 33, 251, 74, 602, 350, 242, 179, 51, 1, 3], [3, 3, 34, 242, 110, 518, 476, 116, 263, 15, 10, 2], [3, 3, 34, 243, 102, 546, 420, 186, 207, 43, 2, 3], [3, 3, 35, 234, 138, 462, 546, 60, 291, 7, 11, 2], [3, 3, 35, 235, 130, 490, 490, 130, 235, 35, 3, 3], [3, 3, 36, 227, 158, 434, 560, 74, 263, 27, 4, 3], [3, 3, 37, 219, 186, 378, 630, 18, 291, 19, 5, 3], [3, 4, 24, 285, 6, 672, 336, 186, 255, 4, 16, 1], [3, 4, 25, 278, 26, 644, 350, 200, 227, 24, 9, 2], [3, 4, 25, 279, 18, 672, 294, 270, 171, 52, 1, 3], [3, 4, 26, 270, 54, 588, 420, 144, 255, 16, 10, 2], [3, 4, 26, 271, 46, 616, 364, 214, 199, 44, 2, 3], [3, 4, 27, 262, 82, 532, 490, 88, 283, 8, 11, 2], [3, 4, 27, 263, 74, 560, 434, 158, 227, 36, 3, 3], [3, 4, 28, 254, 110, 476, 560, 32, 311, 0, 12, 2], [3, 4, 28, 255, 102, 504, 504, 102, 255, 28, 4, 3], [3, 4, 29, 247, 130, 448, 574, 46, 283, 20, 5, 3], [3, 5, 19, 290, 26, 602, 434, 116, 275, 9, 11, 2], [3, 5, 19, 291, 18, 630, 378, 186, 219, 37, 3, 3], [3, 5, 20, 282, 54, 546, 504, 60, 303, 1, 12, 2], [3, 5, 20, 283, 46, 574, 448, 130, 247, 29, 4, 3], [3, 5, 21, 275, 74, 518, 518, 74, 275, 21, 5, 3], [3, 5, 22, 267, 102, 462, 588, 18, 303, 13, 6, 3], [3, 6, 13, 303, 18, 588, 462, 102, 267, 22, 5, 3], [3, 6, 14, 295, 46, 532, 532, 46, 295, 14, 6, 3], [3, 6, 16, 280, 94, 448, 616, 4, 295, 26, 0, 4], [3, 7, 7, 315, 18, 546, 546, 18, 315, 7, 7, 3], [3, 7, 8, 308, 38, 518, 560, 32, 287, 27, 0, 4], [3, 8, 1, 328, 10, 532, 574, 4, 307, 20, 1, 4], [4, 0, 26, 295, 4, 616, 448, 94, 280, 16, 6, 3], [4, 0, 27, 287, 32, 560, 518, 38, 308, 8, 7, 3], [4, 0, 28, 280, 52, 532, 532, 52, 280, 28, 0, 4], [4, 1, 20, 307, 4, 574, 532, 10, 328, 1, 8, 3], [4, 1, 21, 300, 24, 546, 546, 24, 300, 21, 1, 4]}
(12, 1792, 7) has 2033 possible DDs: {[1, 0, 38, 137, 6, 756, 0, 510, 273, 4, 66, 1, 0], [1, 0, 39, 130, 26, 728, 14, 524, 245, 24, 59, 2, 0], [1, 0, 40, 122, 54, 672, 84, 468, 273, 16, 60, 2, 0], [1, 0, 40, 123, 46, 700, 28, 538, 217, 44, 52, 3, 0], [1, 0, 41, 114, 82, 616, 154, 412, 301, 8, 61, 2, 0], [1, 0, 41, 115, 74, 644, 98, 482, 245, 36, 53, 3, 0], [1, 0, 41, 116, 66, 672, 42, 552, 189, 64, 45, 4, 0], [1, 0, 42, 106, 110, 560, 224, 356, 329, 0, 62, 2, 0], [1, 0, 42, 107, 102, 588, 168, 426, 273, 28, 54, 3, 0], [1, 0, 42, 108, 94, 616, 112, 496, 217, 56, 46, 4, 0], [1, 0, 42, 109, 86, 644, 56, 566, 161, 84, 38, 5, 0], [1, 0, 42, 110, 78, 672, 0, 636, 105, 112, 30, 6, 0], [1, 0, 43, 99, 130, 532, 238, 370, 301, 20, 55, 3, 0], [1, 0, 43, 100, 122, 560, 182, 440, 245, 48, 47, 4, 0], [1, 0, 43, 101, 114, 588, 126, 510, 189, 76, 39, 5, 0], [1, 0, 43, 102, 106, 616, 70, 580, 133, 104, 31, 6, 0], [1, 0, 43, 103, 98, 644, 14, 650, 77, 132, 23, 7, 0], [1, 0, 44, 91, 158, 476, 308, 314, 329, 12, 56, 3, 0], [1, 0, 44, 92, 150, 504, 252, 384, 273, 40, 48, 4, 0], [1, 0, 44, 93, 142, 532, 196, 454, 217, 68, 40, 5, 0], [1, 0, 44, 94, 134, 560, 140, 524, 161, 96, 32, 6, 0], [1, 0, 44, 95, 126, 588, 84, 594, 105, 124, 24, 7, 0], [1, 0, 44, 96, 118, 616, 28, 664, 49, 152, 16, 8, 0], [1, 0, 44, 96, 119, 608, 56, 608, 119, 96, 44, 0, 1], [1, 0, 44, 97, 111, 636, 0, 678, 63, 124, 36, 1, 1], [1, 0, 45, 83, 186, 420, 378, 258, 357, 4, 57, 3, 0], [1, 0, 45, 84, 178, 448, 322, 328, 301, 32, 49, 4, 0], [1, 0, 45, 85, 170, 476, 266, 398, 245, 60, 41, 5, 0], [1, 0, 45, 86, 162, 504, 210, 468, 189, 88, 33, 6, 0], [1, 0, 45, 87, 154, 532, 154, 538, 133, 116, 25, 7, 0], [1, 0, 45, 88, 146, 560, 98, 608, 77, 144, 17, 8, 0], [1, 0, 45, 88, 147, 552, 126, 552, 147, 88, 45, 0, 1], [1, 0, 45, 89, 138, 588, 42, 678, 21, 172, 9, 9, 0], [1, 0, 45, 89, 139, 580, 70, 622, 91, 116, 37, 1, 1], [1, 0, 45, 90, 131, 608, 14, 692, 35, 144, 29, 2, 1], [1, 0, 46, 76, 206, 392, 392, 272, 329, 24, 50, 4, 0], [1, 0, 46, 77, 198, 420, 336, 342, 273, 52, 42, 5, 0], [1, 0, 46, 78, 190, 448, 280, 412, 217, 80, 34, 6, 0], [1, 0, 46, 79, 182, 476, 224, 482, 161, 108, 26, 7, 0], [1, 0, 46, 80, 174, 504, 168, 552, 105, 136, 18, 8, 0], [1, 0, 46, 80, 175, 496, 196, 496, 175, 80, 46, 0, 1], [1, 0, 46, 81, 166, 532, 112, 622, 49, 164, 10, 9, 0], [1, 0, 46, 81, 167, 524, 140, 566, 119, 108, 38, 1, 1], [1, 0, 46, 82, 159, 552, 84, 636, 63, 136, 30, 2, 1], [1, 0, 46, 83, 151, 580, 28, 706, 7, 164, 22, 3, 1], [1, 0, 47, 68, 234, 336, 462, 216, 357, 16, 51, 4, 0], [1, 0, 47, 69, 226, 364, 406, 286, 301, 44, 43, 5, 0], [1, 0, 47, 70, 218, 392, 350, 356, 245, 72, 35, 6, 0], [1, 0, 47, 71, 210, 420, 294, 426, 189, 100, 27, 7, 0], [1, 0, 47, 72, 202, 448, 238, 496, 133, 128, 19, 8, 0], [1, 0, 47, 72, 203, 440, 266, 440, 203, 72, 47, 0, 1], [1, 0, 47, 73, 194, 476, 182, 566, 77, 156, 11, 9, 0], [1, 0, 47, 73, 195, 468, 210, 510, 147, 100, 39, 1, 1], [1, 0, 47, 74, 186, 504, 126, 636, 21, 184, 3, 10, 0], [1, 0, 47, 74, 187, 496, 154, 580, 91, 128, 31, 2, 1], [1, 0, 47, 75, 179, 524, 98, 650, 35, 156, 23, 3, 1], [1, 0, 48, 60, 262, 280, 532, 160, 385, 8, 52, 4, 0], [1, 0, 48, 61, 254, 308, 476, 230, 329, 36, 44, 5, 0], [1, 0, 48, 62, 246, 336, 420, 300, 273, 64, 36, 6, 0], [1, 0, 48, 63, 238, 364, 364, 370, 217, 92, 28, 7, 0], [1, 0, 48, 64, 230, 392, 308, 440, 161, 120, 20, 8, 0], [1, 0, 48, 64, 231, 384, 336, 384, 231, 64, 48, 0, 1], [1, 0, 48, 65, 222, 420, 252, 510, 105, 148, 12, 9, 0], [1, 0, 48, 65, 223, 412, 280, 454, 175, 92, 40, 1, 1], [1, 0, 48, 66, 214, 448, 196, 580, 49, 176, 4, 10, 0], [1, 0, 48, 66, 215, 440, 224, 524, 119, 120, 32, 2, 1], [1, 0, 48, 67, 207, 468, 168, 594, 63, 148, 24, 3, 1], [1, 0, 48, 68, 199, 496, 112, 664, 7, 176, 16, 4, 1], [1, 0, 49, 52, 290, 224, 602, 104, 413, 0, 53, 4, 0], [1, 0, 49, 53, 282, 252, 546, 174, 357, 28, 45, 5, 0], [1, 0, 49, 54, 274, 280, 490, 244, 301, 56, 37, 6, 0], [1, 0, 49, 55, 266, 308, 434, 314, 245, 84, 29, 7, 0], [1, 0, 49, 56, 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3, 2, 212, 14, 530, 308, 404, 158, 131, 26, 0, 2], [2, 3, 2, 213, 6, 558, 252, 474, 102, 159, 18, 1, 2], [2, 3, 3, 198, 88, 322, 658, 40, 382, 67, 19, 10, 0], [2, 3, 3, 199, 80, 350, 602, 110, 326, 95, 11, 11, 0], [2, 3, 3, 199, 81, 342, 630, 54, 396, 39, 39, 3, 1], [2, 3, 3, 200, 72, 378, 546, 180, 270, 123, 3, 12, 0], [2, 3, 3, 200, 73, 370, 574, 124, 340, 67, 31, 4, 1], [2, 3, 3, 201, 65, 398, 518, 194, 284, 95, 23, 5, 1], [2, 3, 3, 202, 57, 426, 462, 264, 228, 123, 15, 6, 1], [2, 3, 3, 203, 49, 454, 406, 334, 172, 151, 7, 7, 1], [2, 3, 3, 204, 42, 474, 378, 348, 186, 123, 27, 0, 2], [2, 3, 3, 205, 34, 502, 322, 418, 130, 151, 19, 1, 2], [2, 3, 3, 206, 26, 530, 266, 488, 74, 179, 11, 2, 2], [2, 3, 3, 207, 18, 558, 210, 558, 18, 207, 3, 3, 2], [2, 3, 4, 191, 108, 294, 672, 54, 354, 87, 12, 11, 0], [2, 3, 4, 192, 100, 322, 616, 124, 298, 115, 4, 12, 0], [2, 3, 4, 192, 101, 314, 644, 68, 368, 59, 32, 4, 1], [2, 3, 4, 193, 93, 342, 588, 138, 312, 87, 24, 5, 1], [2, 3, 4, 194, 85, 370, 532, 208, 256, 115, 16, 6, 1], [2, 3, 4, 195, 77, 398, 476, 278, 200, 143, 8, 7, 1], [2, 3, 4, 196, 69, 426, 420, 348, 144, 171, 0, 8, 1], [2, 3, 4, 196, 70, 418, 448, 292, 214, 115, 28, 0, 2], [2, 3, 4, 197, 62, 446, 392, 362, 158, 143, 20, 1, 2], [2, 3, 4, 198, 54, 474, 336, 432, 102, 171, 12, 2, 2], [2, 3, 4, 199, 46, 502, 280, 502, 46, 199, 4, 3, 2], [2, 3, 5, 184, 128, 266, 686, 68, 326, 107, 5, 12, 0], [2, 3, 5, 184, 129, 258, 714, 12, 396, 51, 33, 4, 1], [2, 3, 5, 185, 121, 286, 658, 82, 340, 79, 25, 5, 1], [2, 3, 5, 186, 113, 314, 602, 152, 284, 107, 17, 6, 1], [2, 3, 5, 187, 105, 342, 546, 222, 228, 135, 9, 7, 1], [2, 3, 5, 188, 97, 370, 490, 292, 172, 163, 1, 8, 1], [2, 3, 5, 188, 98, 362, 518, 236, 242, 107, 29, 0, 2], [2, 3, 5, 189, 90, 390, 462, 306, 186, 135, 21, 1, 2], [2, 3, 5, 190, 82, 418, 406, 376, 130, 163, 13, 2, 2], [2, 3, 5, 191, 74, 446, 350, 446, 74, 191, 5, 3, 2], [2, 3, 6, 176, 156, 210, 756, 12, 354, 99, 6, 12, 0], [2, 3, 6, 177, 149, 230, 728, 26, 368, 71, 26, 5, 1], [2, 3, 6, 178, 141, 258, 672, 96, 312, 99, 18, 6, 1], [2, 3, 6, 179, 133, 286, 616, 166, 256, 127, 10, 7, 1], [2, 3, 6, 180, 125, 314, 560, 236, 200, 155, 2, 8, 1], [2, 3, 6, 180, 126, 306, 588, 180, 270, 99, 30, 0, 2], [2, 3, 6, 181, 118, 334, 532, 250, 214, 127, 22, 1, 2], [2, 3, 6, 182, 110, 362, 476, 320, 158, 155, 14, 2, 2], [2, 3, 6, 183, 102, 390, 420, 390, 102, 183, 6, 3, 2], [2, 3, 7, 170, 169, 202, 742, 40, 340, 91, 19, 6, 1], [2, 3, 7, 171, 161, 230, 686, 110, 284, 119, 11, 7, 1], [2, 3, 7, 172, 153, 258, 630, 180, 228, 147, 3, 8, 1], [2, 3, 7, 172, 154, 250, 658, 124, 298, 91, 31, 0, 2], [2, 3, 7, 173, 146, 278, 602, 194, 242, 119, 23, 1, 2], [2, 3, 7, 174, 138, 306, 546, 264, 186, 147, 15, 2, 2], [2, 3, 7, 175, 130, 334, 490, 334, 130, 175, 7, 3, 2], [2, 3, 8, 163, 189, 174, 756, 54, 312, 111, 12, 7, 1], [2, 3, 8, 164, 181, 202, 700, 124, 256, 139, 4, 8, 1], [2, 3, 8, 164, 182, 194, 728, 68, 326, 83, 32, 0, 2], [2, 3, 8, 165, 174, 222, 672, 138, 270, 111, 24, 1, 2], [2, 3, 8, 166, 166, 250, 616, 208, 214, 139, 16, 2, 2], [2, 3, 8, 167, 158, 278, 560, 278, 158, 167, 8, 3, 2], [2, 3, 8, 168, 150, 306, 504, 348, 102, 195, 0, 4, 2], [2, 3, 9, 156, 209, 146, 770, 68, 284, 131, 5, 8, 1], [2, 3, 9, 156, 210, 138, 798, 12, 354, 75, 33, 0, 2], [2, 3, 9, 157, 202, 166, 742, 82, 298, 103, 25, 1, 2], [2, 3, 9, 158, 194, 194, 686, 152, 242, 131, 17, 2, 2], [2, 3, 9, 159, 186, 222, 630, 222, 186, 159, 9, 3, 2], [2, 3, 9, 160, 178, 250, 574, 292, 130, 187, 1, 4, 2], [2, 3, 10, 148, 237, 90, 840, 12, 312, 123, 6, 8, 1], [2, 3, 10, 149, 230, 110, 812, 26, 326, 95, 26, 1, 2], [2, 3, 10, 150, 222, 138, 756, 96, 270, 123, 18, 2, 2], [2, 3, 10, 151, 214, 166, 700, 166, 214, 151, 10, 3, 2], [2, 3, 10, 152, 206, 194, 644, 236, 158, 179, 2, 4, 2], [2, 3, 11, 142, 250, 82, 826, 40, 298, 115, 19, 2, 2], [2, 3, 11, 143, 242, 110, 770, 110, 242, 143, 11, 3, 2], [2, 3, 11, 144, 234, 138, 714, 180, 186, 171, 3, 4, 2], [2, 3, 12, 135, 270, 54, 840, 54, 270, 135, 12, 3, 2], [2, 3, 12, 136, 262, 82, 784, 124, 214, 163, 4, 4, 2], [2, 3, 12, 140, 231, 186, 588, 348, 60, 219, 0, 0, 3], [2, 3, 13, 128, 290, 26, 854, 68, 242, 155, 5, 4, 2], [2, 3, 13, 132, 259, 130, 658, 292, 88, 211, 1, 0, 3], [2, 3, 14, 124, 287, 74, 728, 236, 116, 203, 2, 0, 3], [2, 3, 15, 116, 315, 18, 798, 180, 144, 195, 3, 0, 3], [2, 4, 0, 190, 141, 216, 756, 12, 360, 84, 20, 6, 1], [2, 4, 0, 191, 133, 244, 700, 82, 304, 112, 12, 7, 1], [2, 4, 0, 192, 125, 272, 644, 152, 248, 140, 4, 8, 1], [2, 4, 0, 192, 126, 264, 672, 96, 318, 84, 32, 0, 2], [2, 4, 0, 193, 118, 292, 616, 166, 262, 112, 24, 1, 2], [2, 4, 0, 194, 110, 320, 560, 236, 206, 140, 16, 2, 2], [2, 4, 0, 195, 102, 348, 504, 306, 150, 168, 8, 3, 2], [2, 4, 0, 196, 94, 376, 448, 376, 94, 196, 0, 4, 2], [2, 4, 1, 183, 161, 188, 770, 26, 332, 104, 13, 7, 1], [2, 4, 1, 184, 153, 216, 714, 96, 276, 132, 5, 8, 1], [2, 4, 1, 184, 154, 208, 742, 40, 346, 76, 33, 0, 2], [2, 4, 1, 185, 146, 236, 686, 110, 290, 104, 25, 1, 2], [2, 4, 1, 186, 138, 264, 630, 180, 234, 132, 17, 2, 2], [2, 4, 1, 187, 130, 292, 574, 250, 178, 160, 9, 3, 2], [2, 4, 1, 188, 122, 320, 518, 320, 122, 188, 1, 4, 2], [2, 4, 2, 176, 181, 160, 784, 40, 304, 124, 6, 8, 1], [2, 4, 2, 177, 174, 180, 756, 54, 318, 96, 26, 1, 2], [2, 4, 2, 178, 166, 208, 700, 124, 262, 124, 18, 2, 2], [2, 4, 2, 179, 158, 236, 644, 194, 206, 152, 10, 3, 2], [2, 4, 2, 180, 150, 264, 588, 264, 150, 180, 2, 4, 2], [2, 4, 3, 170, 194, 152, 770, 68, 290, 116, 19, 2, 2], [2, 4, 3, 171, 186, 180, 714, 138, 234, 144, 11, 3, 2], [2, 4, 3, 172, 178, 208, 658, 208, 178, 172, 3, 4, 2], [2, 4, 4, 162, 222, 96, 840, 12, 318, 108, 20, 2, 2], [2, 4, 4, 163, 214, 124, 784, 82, 262, 136, 12, 3, 2], [2, 4, 4, 164, 206, 152, 728, 152, 206, 164, 4, 4, 2], [2, 4, 4, 168, 175, 256, 532, 376, 52, 220, 0, 0, 3], [2, 4, 5, 155, 242, 68, 854, 26, 290, 128, 13, 3, 2], [2, 4, 5, 156, 234, 96, 798, 96, 234, 156, 5, 4, 2], [2, 4, 5, 160, 203, 200, 602, 320, 80, 212, 1, 0, 3], [2, 4, 6, 148, 262, 40, 868, 40, 262, 148, 6, 4, 2], [2, 4, 6, 152, 231, 144, 672, 264, 108, 204, 2, 0, 3], [2, 4, 7, 144, 259, 88, 742, 208, 136, 196, 3, 0, 3], [2, 4, 8, 136, 287, 32, 812, 152, 164, 188, 4, 0, 3], [2, 5, 0, 161, 254, 26, 896, 26, 254, 161, 0, 5, 2], [2, 5, 0, 164, 231, 102, 756, 180, 156, 189, 4, 0, 3], [2, 5, 1, 156, 259, 46, 826, 124, 184, 181, 5, 0, 3], [3, 0, 0, 216, 83, 272, 728, 32, 329, 112, 8, 8, 1], [3, 0, 0, 217, 75, 300, 672, 102, 273, 140, 0, 9, 1], [3, 0, 0, 217, 76, 292, 700, 46, 343, 84, 28, 1, 2], [3, 0, 0, 218, 68, 320, 644, 116, 287, 112, 20, 2, 2], [3, 0, 0, 219, 60, 348, 588, 186, 231, 140, 12, 3, 2], [3, 0, 0, 220, 52, 376, 532, 256, 175, 168, 4, 4, 2], [3, 0, 0, 224, 21, 480, 336, 480, 21, 224, 0, 0, 3], [3, 0, 1, 209, 103, 244, 742, 46, 301, 132, 1, 9, 1], [3, 0, 1, 210, 96, 264, 714, 60, 315, 104, 21, 2, 2], [3, 0, 1, 211, 88, 292, 658, 130, 259, 132, 13, 3, 2], [3, 0, 1, 212, 80, 320, 602, 200, 203, 160, 5, 4, 2], [3, 0, 1, 216, 49, 424, 406, 424, 49, 216, 1, 0, 3], [3, 0, 2, 202, 124, 208, 784, 4, 343, 96, 22, 2, 2], [3, 0, 2, 203, 116, 236, 728, 74, 287, 124, 14, 3, 2], [3, 0, 2, 204, 108, 264, 672, 144, 231, 152, 6, 4, 2], [3, 0, 2, 208, 77, 368, 476, 368, 77, 208, 2, 0, 3], [3, 0, 3, 195, 144, 180, 798, 18, 315, 116, 15, 3, 2], [3, 0, 3, 196, 136, 208, 742, 88, 259, 144, 7, 4, 2], [3, 0, 3, 200, 105, 312, 546, 312, 105, 200, 3, 0, 3], [3, 0, 4, 188, 164, 152, 812, 32, 287, 136, 8, 4, 2], [3, 0, 4, 189, 156, 180, 756, 102, 231, 164, 0, 5, 2], [3, 0, 4, 192, 133, 256, 616, 256, 133, 192, 4, 0, 3], [3, 0, 5, 181, 184, 124, 826, 46, 259, 156, 1, 5, 2], [3, 0, 5, 184, 161, 200, 686, 200, 161, 184, 5, 0, 3], [3, 0, 6, 176, 189, 144, 756, 144, 189, 176, 6, 0, 3], [3, 0, 7, 168, 217, 88, 826, 88, 217, 168, 7, 0, 3], [3, 0, 8, 160, 245, 32, 896, 32, 245, 160, 8, 0, 3], [3, 0, 8, 161, 237, 60, 840, 102, 189, 188, 0, 1, 3], [3, 0, 9, 153, 265, 4, 910, 46, 217, 180, 1, 1, 3], [3, 1, 0, 188, 189, 102, 840, 60, 237, 161, 8, 0, 3], [3, 1, 0, 189, 181, 130, 784, 130, 181, 189, 0, 1, 3], [3, 1, 1, 180, 217, 46, 910, 4, 265, 153, 9, 0, 3], [3, 1, 1, 181, 209, 74, 854, 74, 209, 181, 1, 1, 3], [3, 1, 2, 173, 237, 18, 924, 18, 237, 173, 2, 1, 3]}
(13, 1792, 7) has 3618 possible DDs: {[1, 0, 8, 131, 14, 364, 532, 34, 553, 76, 44, 35, 0, 0], [1, 0, 8, 132, 6, 392, 476, 104, 497, 104, 36, 36, 0, 0], [1, 0, 8, 132, 7, 384, 504, 48, 567, 48, 64, 28, 1, 0], [1, 0, 8, 133, 0, 404, 476, 62, 581, 20, 84, 21, 2, 0], [1, 0, 9, 124, 34, 336, 546, 48, 525, 96, 37, 36, 0, 0], [1, 0, 9, 125, 26, 364, 490, 118, 469, 124, 29, 37, 0, 0], [1, 0, 9, 125, 27, 356, 518, 62, 539, 68, 57, 29, 1, 0], [1, 0, 9, 125, 28, 348, 546, 6, 609, 12, 85, 21, 2, 0], [1, 0, 9, 126, 18, 392, 434, 188, 413, 152, 21, 38, 0, 0], [1, 0, 9, 126, 19, 384, 462, 132, 483, 96, 49, 30, 1, 0], [1, 0, 9, 126, 20, 376, 490, 76, 553, 40, 77, 22, 2, 0], [1, 0, 9, 127, 10, 420, 378, 258, 357, 180, 13, 39, 0, 0], [1, 0, 9, 127, 11, 412, 406, 202, 427, 124, 41, 31, 1, 0], [1, 0, 9, 127, 12, 404, 434, 146, 497, 68, 69, 23, 2, 0], [1, 0, 9, 127, 13, 396, 462, 90, 567, 12, 97, 15, 3, 0], [1, 0, 9, 128, 2, 448, 322, 328, 301, 208, 5, 40, 0, 0], [1, 0, 9, 128, 3, 440, 350, 272, 371, 152, 33, 32, 1, 0], [1, 0, 9, 128, 4, 432, 378, 216, 441, 96, 61, 24, 2, 0], [1, 0, 9, 128, 5, 424, 406, 160, 511, 40, 89, 16, 3, 0], [1, 0, 10, 117, 54, 308, 560, 62, 497, 116, 30, 37, 0, 0], [1, 0, 10, 117, 55, 300, 588, 6, 567, 60, 58, 29, 1, 0], [1, 0, 10, 118, 46, 336, 504, 132, 441, 144, 22, 38, 0, 0], [1, 0, 10, 118, 47, 328, 532, 76, 511, 88, 50, 30, 1, 0], [1, 0, 10, 118, 48, 320, 560, 20, 581, 32, 78, 22, 2, 0], [1, 0, 10, 119, 38, 364, 448, 202, 385, 172, 14, 39, 0, 0], [1, 0, 10, 119, 39, 356, 476, 146, 455, 116, 42, 31, 1, 0], [1, 0, 10, 119, 40, 348, 504, 90, 525, 60, 70, 23, 2, 0], [1, 0, 10, 119, 41, 340, 532, 34, 595, 4, 98, 15, 3, 0], [1, 0, 10, 120, 30, 392, 392, 272, 329, 200, 6, 40, 0, 0], [1, 0, 10, 120, 31, 384, 420, 216, 399, 144, 34, 32, 1, 0], [1, 0, 10, 120, 32, 376, 448, 160, 469, 88, 62, 24, 2, 0], [1, 0, 10, 120, 33, 368, 476, 104, 539, 32, 90, 16, 3, 0], [1, 0, 10, 121, 23, 412, 364, 286, 343, 172, 26, 33, 1, 0], [1, 0, 10, 121, 24, 404, 392, 230, 413, 116, 54, 25, 2, 0], [1, 0, 10, 121, 25, 396, 420, 174, 483, 60, 82, 17, 3, 0], [1, 0, 10, 121, 26, 388, 448, 118, 553, 4, 110, 9, 4, 0], [1, 0, 10, 122, 15, 440, 308, 356, 287, 200, 18, 34, 1, 0], [1, 0, 10, 122, 16, 432, 336, 300, 357, 144, 46, 26, 2, 0], [1, 0, 10, 122, 17, 424, 364, 244, 427, 88, 74, 18, 3, 0], [1, 0, 10, 122, 18, 416, 392, 188, 497, 32, 102, 10, 4, 0], [1, 0, 10, 123, 7, 468, 252, 426, 231, 228, 10, 35, 1, 0], [1, 0, 10, 123, 8, 460, 280, 370, 301, 172, 38, 27, 2, 0], [1, 0, 10, 123, 9, 452, 308, 314, 371, 116, 66, 19, 3, 0], [1, 0, 10, 123, 10, 444, 336, 258, 441, 60, 94, 11, 4, 0], [1, 0, 10, 123, 11, 436, 364, 202, 511, 4, 122, 3, 5, 0], [1, 0, 10, 124, 0, 488, 224, 440, 245, 200, 30, 28, 2, 0], [1, 0, 10, 124, 1, 480, 252, 384, 315, 144, 58, 20, 3, 0], [1, 0, 10, 124, 2, 472, 280, 328, 385, 88, 86, 12, 4, 0], [1, 0, 10, 124, 3, 464, 308, 272, 455, 32, 114, 4, 5, 0], [1, 0, 11, 109, 82, 252, 630, 6, 525, 108, 31, 37, 0, 0], [1, 0, 11, 110, 74, 280, 574, 76, 469, 136, 23, 38, 0, 0], [1, 0, 11, 110, 75, 272, 602, 20, 539, 80, 51, 30, 1, 0], [1, 0, 11, 111, 66, 308, 518, 146, 413, 164, 15, 39, 0, 0], [1, 0, 11, 111, 67, 300, 546, 90, 483, 108, 43, 31, 1, 0], [1, 0, 11, 111, 68, 292, 574, 34, 553, 52, 71, 23, 2, 0], [1, 0, 11, 112, 58, 336, 462, 216, 357, 192, 7, 40, 0, 0], [1, 0, 11, 112, 59, 328, 490, 160, 427, 136, 35, 32, 1, 0], [1, 0, 11, 112, 60, 320, 518, 104, 497, 80, 63, 24, 2, 0], [1, 0, 11, 112, 61, 312, 546, 48, 567, 24, 91, 16, 3, 0], [1, 0, 11, 113, 51, 356, 434, 230, 371, 164, 27, 33, 1, 0], [1, 0, 11, 113, 52, 348, 462, 174, 441, 108, 55, 25, 2, 0], [1, 0, 11, 113, 53, 340, 490, 118, 511, 52, 83, 17, 3, 0], [1, 0, 11, 114, 43, 384, 378, 300, 315, 192, 19, 34, 1, 0], [1, 0, 11, 114, 44, 376, 406, 244, 385, 136, 47, 26, 2, 0], [1, 0, 11, 114, 45, 368, 434, 188, 455, 80, 75, 18, 3, 0], [1, 0, 11, 114, 46, 360, 462, 132, 525, 24, 103, 10, 4, 0], [1, 0, 11, 115, 35, 412, 322, 370, 259, 220, 11, 35, 1, 0], [1, 0, 11, 115, 36, 404, 350, 314, 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