-------
(12, 2048, 7) ALL distance distributions for INTERNAL point
(7, 2048, 7) has 1 possible DDs: {[16, 112, 336, 560, 560, 336, 112, 16]}
(8, 2048, 7) has 16 possible DDs: {[1, 120, 28, 840, 70, 840, 28, 120, 1], [2, 112, 56, 784, 140, 784, 56, 112, 2], [3, 104, 84, 728, 210, 728, 84, 104, 3], [4, 96, 112, 672, 280, 672, 112, 96, 4], [5, 88, 140, 616, 350, 616, 140, 88, 5], [6, 80, 168, 560, 420, 560, 168, 80, 6], [7, 72, 196, 504, 490, 504, 196, 72, 7], [8, 64, 224, 448, 560, 448, 224, 64, 8], [9, 56, 252, 392, 630, 392, 252, 56, 9], [10, 48, 280, 336, 700, 336, 280, 48, 10], [11, 40, 308, 280, 770, 280, 308, 40, 11], [12, 32, 336, 224, 840, 224, 336, 32, 12], [13, 24, 364, 168, 910, 168, 364, 24, 13], [14, 16, 392, 112, 980, 112, 392, 16, 14], [15, 8, 420, 56, 1050, 56, 420, 8, 15], [16, 0, 448, 0, 1120, 0, 448, 0, 16]}
(9, 2048, 7) has 75 possible DDs: {[1, 56, 92, 392, 518, 392, 476, 56, 65, 0], [1, 57, 84, 420, 462, 462, 420, 84, 57, 1], [1, 58, 76, 448, 406, 532, 364, 112, 49, 2], [1, 59, 68, 476, 350, 602, 308, 140, 41, 3], [1, 60, 60, 504, 294, 672, 252, 168, 33, 4], [1, 61, 52, 532, 238, 742, 196, 196, 25, 5], [1, 62, 44, 560, 182, 812, 140, 224, 17, 6], [1, 63, 36, 588, 126, 882, 84, 252, 9, 7], [1, 64, 28, 616, 70, 952, 28, 280, 1, 8], [2, 48, 120, 336, 588, 336, 504, 48, 66, 0], [2, 49, 112, 364, 532, 406, 448, 76, 58, 1], [2, 50, 104, 392, 476, 476, 392, 104, 50, 2], [2, 51, 96, 420, 420, 546, 336, 132, 42, 3], [2, 52, 88, 448, 364, 616, 280, 160, 34, 4], [2, 53, 80, 476, 308, 686, 224, 188, 26, 5], [2, 54, 72, 504, 252, 756, 168, 216, 18, 6], [2, 55, 64, 532, 196, 826, 112, 244, 10, 7], [2, 56, 56, 560, 140, 896, 56, 272, 2, 8], [3, 40, 148, 280, 658, 280, 532, 40, 67, 0], [3, 41, 140, 308, 602, 350, 476, 68, 59, 1], [3, 42, 132, 336, 546, 420, 420, 96, 51, 2], [3, 43, 124, 364, 490, 490, 364, 124, 43, 3], [3, 44, 116, 392, 434, 560, 308, 152, 35, 4], [3, 45, 108, 420, 378, 630, 252, 180, 27, 5], [3, 46, 100, 448, 322, 700, 196, 208, 19, 6], [3, 47, 92, 476, 266, 770, 140, 236, 11, 7], [3, 48, 84, 504, 210, 840, 84, 264, 3, 8], [4, 32, 176, 224, 728, 224, 560, 32, 68, 0], [4, 33, 168, 252, 672, 294, 504, 60, 60, 1], [4, 34, 160, 280, 616, 364, 448, 88, 52, 2], [4, 35, 152, 308, 560, 434, 392, 116, 44, 3], [4, 36, 144, 336, 504, 504, 336, 144, 36, 4], [4, 37, 136, 364, 448, 574, 280, 172, 28, 5], [4, 38, 128, 392, 392, 644, 224, 200, 20, 6], [4, 39, 120, 420, 336, 714, 168, 228, 12, 7], [4, 40, 112, 448, 280, 784, 112, 256, 4, 8], [5, 24, 204, 168, 798, 168, 588, 24, 69, 0], [5, 25, 196, 196, 742, 238, 532, 52, 61, 1], [5, 26, 188, 224, 686, 308, 476, 80, 53, 2], [5, 27, 180, 252, 630, 378, 420, 108, 45, 3], [5, 28, 172, 280, 574, 448, 364, 136, 37, 4], [5, 29, 164, 308, 518, 518, 308, 164, 29, 5], [5, 30, 156, 336, 462, 588, 252, 192, 21, 6], [5, 31, 148, 364, 406, 658, 196, 220, 13, 7], [5, 32, 140, 392, 350, 728, 140, 248, 5, 8], [6, 16, 232, 112, 868, 112, 616, 16, 70, 0], [6, 17, 224, 140, 812, 182, 560, 44, 62, 1], [6, 18, 216, 168, 756, 252, 504, 72, 54, 2], [6, 19, 208, 196, 700, 322, 448, 100, 46, 3], [6, 20, 200, 224, 644, 392, 392, 128, 38, 4], [6, 21, 192, 252, 588, 462, 336, 156, 30, 5], [6, 22, 184, 280, 532, 532, 280, 184, 22, 6], [6, 23, 176, 308, 476, 602, 224, 212, 14, 7], [6, 24, 168, 336, 420, 672, 168, 240, 6, 8], [7, 8, 260, 56, 938, 56, 644, 8, 71, 0], [7, 9, 252, 84, 882, 126, 588, 36, 63, 1], [7, 10, 244, 112, 826, 196, 532, 64, 55, 2], [7, 11, 236, 140, 770, 266, 476, 92, 47, 3], [7, 12, 228, 168, 714, 336, 420, 120, 39, 4], [7, 13, 220, 196, 658, 406, 364, 148, 31, 5], [7, 14, 212, 224, 602, 476, 308, 176, 23, 6], [7, 15, 204, 252, 546, 546, 252, 204, 15, 7], [7, 16, 196, 280, 490, 616, 196, 232, 7, 8], [8, 0, 288, 0, 1008, 0, 672, 0, 72, 0], [8, 1, 280, 28, 952, 70, 616, 28, 64, 1], [8, 2, 272, 56, 896, 140, 560, 56, 56, 2], [8, 3, 264, 84, 840, 210, 504, 84, 48, 3], [8, 4, 256, 112, 784, 280, 448, 112, 40, 4], [8, 5, 248, 140, 728, 350, 392, 140, 32, 5], [8, 6, 240, 168, 672, 420, 336, 168, 24, 6], [8, 7, 232, 196, 616, 490, 280, 196, 16, 7], [8, 8, 224, 224, 560, 560, 224, 224, 8, 8], [8, 9, 216, 252, 504, 630, 168, 252, 0, 9], [9, 0, 252, 168, 630, 504, 252, 216, 9, 8], [9, 1, 244, 196, 574, 574, 196, 244, 1, 9]}
(10, 2048, 7) has 341 possible DDs: {[1, 19, 132, 60, 798, 42, 756, 108, 105, 27, 0], [1, 20, 124, 88, 742, 112, 700, 136, 97, 28, 0], [1, 20, 125, 80, 770, 56, 770, 80, 125, 20, 1], [1, 20, 126, 72, 798, 0, 840, 24, 153, 12, 2], [1, 21, 116, 116, 686, 182, 644, 164, 89, 29, 0], [1, 21, 117, 108, 714, 126, 714, 108, 117, 21, 1], [1, 21, 118, 100, 742, 70, 784, 52, 145, 13, 2], [1, 22, 108, 144, 630, 252, 588, 192, 81, 30, 0], [1, 22, 109, 136, 658, 196, 658, 136, 109, 22, 1], [1, 22, 110, 128, 686, 140, 728, 80, 137, 14, 2], [1, 22, 111, 120, 714, 84, 798, 24, 165, 6, 3], [1, 23, 100, 172, 574, 322, 532, 220, 73, 31, 0], [1, 23, 101, 164, 602, 266, 602, 164, 101, 23, 1], [1, 23, 102, 156, 630, 210, 672, 108, 129, 15, 2], [1, 23, 103, 148, 658, 154, 742, 52, 157, 7, 3], [1, 24, 92, 200, 518, 392, 476, 248, 65, 32, 0], [1, 24, 93, 192, 546, 336, 546, 192, 93, 24, 1], [1, 24, 94, 184, 574, 280, 616, 136, 121, 16, 2], [1, 24, 95, 176, 602, 224, 686, 80, 149, 8, 3], [1, 24, 96, 168, 630, 168, 756, 24, 177, 0, 4], [1, 25, 84, 228, 462, 462, 420, 276, 57, 33, 0], [1, 25, 85, 220, 490, 406, 490, 220, 85, 25, 1], [1, 25, 86, 212, 518, 350, 560, 164, 113, 17, 2], [1, 25, 87, 204, 546, 294, 630, 108, 141, 9, 3], [1, 25, 88, 196, 574, 238, 700, 52, 169, 1, 4], [1, 26, 76, 256, 406, 532, 364, 304, 49, 34, 0], [1, 26, 77, 248, 434, 476, 434, 248, 77, 26, 1], [1, 26, 78, 240, 462, 420, 504, 192, 105, 18, 2], [1, 26, 79, 232, 490, 364, 574, 136, 133, 10, 3], [1, 26, 80, 224, 518, 308, 644, 80, 161, 2, 4], [1, 27, 68, 284, 350, 602, 308, 332, 41, 35, 0], [1, 27, 69, 276, 378, 546, 378, 276, 69, 27, 1], [1, 27, 70, 268, 406, 490, 448, 220, 97, 19, 2], [1, 27, 71, 260, 434, 434, 518, 164, 125, 11, 3], [1, 27, 72, 252, 462, 378, 588, 108, 153, 3, 4], [1, 28, 60, 312, 294, 672, 252, 360, 33, 36, 0], [1, 28, 61, 304, 322, 616, 322, 304, 61, 28, 1], [1, 28, 62, 296, 350, 560, 392, 248, 89, 20, 2], [1, 28, 63, 288, 378, 504, 462, 192, 117, 12, 3], [1, 28, 64, 280, 406, 448, 532, 136, 145, 4, 4], [1, 29, 52, 340, 238, 742, 196, 388, 25, 37, 0], [1, 29, 53, 332, 266, 686, 266, 332, 53, 29, 1], [1, 29, 54, 324, 294, 630, 336, 276, 81, 21, 2], [1, 29, 55, 316, 322, 574, 406, 220, 109, 13, 3], [1, 29, 56, 308, 350, 518, 476, 164, 137, 5, 4], [1, 30, 44, 368, 182, 812, 140, 416, 17, 38, 0], [1, 30, 45, 360, 210, 756, 210, 360, 45, 30, 1], [1, 30, 46, 352, 238, 700, 280, 304, 73, 22, 2], [1, 30, 47, 344, 266, 644, 350, 248, 101, 14, 3], [1, 30, 48, 336, 294, 588, 420, 192, 129, 6, 4], [1, 31, 36, 396, 126, 882, 84, 444, 9, 39, 0], [1, 31, 37, 388, 154, 826, 154, 388, 37, 31, 1], [1, 31, 38, 380, 182, 770, 224, 332, 65, 23, 2], [1, 31, 39, 372, 210, 714, 294, 276, 93, 15, 3], [1, 31, 40, 364, 238, 658, 364, 220, 121, 7, 4], [1, 32, 28, 424, 70, 952, 28, 472, 1, 40, 0], [1, 32, 29, 416, 98, 896, 98, 416, 29, 32, 1], [1, 32, 30, 408, 126, 840, 168, 360, 57, 24, 2], [1, 32, 31, 400, 154, 784, 238, 304, 85, 16, 3], [1, 32, 32, 392, 182, 728, 308, 248, 113, 8, 4], [1, 32, 33, 384, 210, 672, 378, 192, 141, 0, 5], [1, 33, 21, 444, 42, 966, 42, 444, 21, 33, 1], [1, 33, 22, 436, 70, 910, 112, 388, 49, 25, 2], [1, 33, 23, 428, 98, 854, 182, 332, 77, 17, 3], [1, 33, 24, 420, 126, 798, 252, 276, 105, 9, 4], [1, 33, 25, 412, 154, 742, 322, 220, 133, 1, 5], [1, 34, 14, 464, 14, 980, 56, 416, 41, 26, 2], [1, 34, 15, 456, 42, 924, 126, 360, 69, 18, 3], [1, 34, 16, 448, 70, 868, 196, 304, 97, 10, 4], [1, 34, 17, 440, 98, 812, 266, 248, 125, 2, 5], [1, 35, 8, 476, 14, 938, 140, 332, 89, 11, 4], [1, 35, 9, 468, 42, 882, 210, 276, 117, 3, 5], [2, 12, 152, 32, 812, 56, 728, 128, 98, 28, 0], [2, 12, 153, 24, 840, 0, 798, 72, 126, 20, 1], [2, 13, 144, 60, 756, 126, 672, 156, 90, 29, 0], [2, 13, 145, 52, 784, 70, 742, 100, 118, 21, 1], [2, 13, 146, 44, 812, 14, 812, 44, 146, 13, 2], [2, 14, 136, 88, 700, 196, 616, 184, 82, 30, 0], [2, 14, 137, 80, 728, 140, 686, 128, 110, 22, 1], [2, 14, 138, 72, 756, 84, 756, 72, 138, 14, 2], [2, 14, 139, 64, 784, 28, 826, 16, 166, 6, 3], [2, 15, 128, 116, 644, 266, 560, 212, 74, 31, 0], [2, 15, 129, 108, 672, 210, 630, 156, 102, 23, 1], [2, 15, 130, 100, 700, 154, 700, 100, 130, 15, 2], [2, 15, 131, 92, 728, 98, 770, 44, 158, 7, 3], [2, 16, 120, 144, 588, 336, 504, 240, 66, 32, 0], [2, 16, 121, 136, 616, 280, 574, 184, 94, 24, 1], [2, 16, 122, 128, 644, 224, 644, 128, 122, 16, 2], [2, 16, 123, 120, 672, 168, 714, 72, 150, 8, 3], [2, 16, 124, 112, 700, 112, 784, 16, 178, 0, 4], [2, 17, 112, 172, 532, 406, 448, 268, 58, 33, 0], [2, 17, 113, 164, 560, 350, 518, 212, 86, 25, 1], [2, 17, 114, 156, 588, 294, 588, 156, 114, 17, 2], [2, 17, 115, 148, 616, 238, 658, 100, 142, 9, 3], [2, 17, 116, 140, 644, 182, 728, 44, 170, 1, 4], [2, 18, 104, 200, 476, 476, 392, 296, 50, 34, 0], [2, 18, 105, 192, 504, 420, 462, 240, 78, 26, 1], [2, 18, 106, 184, 532, 364, 532, 184, 106, 18, 2], [2, 18, 107, 176, 560, 308, 602, 128, 134, 10, 3], [2, 18, 108, 168, 588, 252, 672, 72, 162, 2, 4], [2, 19, 96, 228, 420, 546, 336, 324, 42, 35, 0], [2, 19, 97, 220, 448, 490, 406, 268, 70, 27, 1], [2, 19, 98, 212, 476, 434, 476, 212, 98, 19, 2], [2, 19, 99, 204, 504, 378, 546, 156, 126, 11, 3], [2, 19, 100, 196, 532, 322, 616, 100, 154, 3, 4], [2, 20, 88, 256, 364, 616, 280, 352, 34, 36, 0], [2, 20, 89, 248, 392, 560, 350, 296, 62, 28, 1], [2, 20, 90, 240, 420, 504, 420, 240, 90, 20, 2], [2, 20, 91, 232, 448, 448, 490, 184, 118, 12, 3], [2, 20, 92, 224, 476, 392, 560, 128, 146, 4, 4], [2, 21, 80, 284, 308, 686, 224, 380, 26, 37, 0], [2, 21, 81, 276, 336, 630, 294, 324, 54, 29, 1], [2, 21, 82, 268, 364, 574, 364, 268, 82, 21, 2], [2, 21, 83, 260, 392, 518, 434, 212, 110, 13, 3], [2, 21, 84, 252, 420, 462, 504, 156, 138, 5, 4], [2, 22, 72, 312, 252, 756, 168, 408, 18, 38, 0], [2, 22, 73, 304, 280, 700, 238, 352, 46, 30, 1], [2, 22, 74, 296, 308, 644, 308, 296, 74, 22, 2], [2, 22, 75, 288, 336, 588, 378, 240, 102, 14, 3], [2, 22, 76, 280, 364, 532, 448, 184, 130, 6, 4], [2, 23, 64, 340, 196, 826, 112, 436, 10, 39, 0], [2, 23, 65, 332, 224, 770, 182, 380, 38, 31, 1], [2, 23, 66, 324, 252, 714, 252, 324, 66, 23, 2], [2, 23, 67, 316, 280, 658, 322, 268, 94, 15, 3], [2, 23, 68, 308, 308, 602, 392, 212, 122, 7, 4], [2, 24, 56, 368, 140, 896, 56, 464, 2, 40, 0], [2, 24, 57, 360, 168, 840, 126, 408, 30, 32, 1], [2, 24, 58, 352, 196, 784, 196, 352, 58, 24, 2], [2, 24, 59, 344, 224, 728, 266, 296, 86, 16, 3], [2, 24, 60, 336, 252, 672, 336, 240, 114, 8, 4], [2, 24, 61, 328, 280, 616, 406, 184, 142, 0, 5], [2, 25, 49, 388, 112, 910, 70, 436, 22, 33, 1], [2, 25, 50, 380, 140, 854, 140, 380, 50, 25, 2], [2, 25, 51, 372, 168, 798, 210, 324, 78, 17, 3], [2, 25, 52, 364, 196, 742, 280, 268, 106, 9, 4], [2, 25, 53, 356, 224, 686, 350, 212, 134, 1, 5], [2, 26, 41, 416, 56, 980, 14, 464, 14, 34, 1], [2, 26, 42, 408, 84, 924, 84, 408, 42, 26, 2], [2, 26, 43, 400, 112, 868, 154, 352, 70, 18, 3], [2, 26, 44, 392, 140, 812, 224, 296, 98, 10, 4], [2, 26, 45, 384, 168, 756, 294, 240, 126, 2, 5], [2, 27, 34, 436, 28, 994, 28, 436, 34, 27, 2], [2, 27, 35, 428, 56, 938, 98, 380, 62, 19, 3], [2, 27, 36, 420, 84, 882, 168, 324, 90, 11, 4], [2, 27, 37, 412, 112, 826, 238, 268, 118, 3, 5], [2, 28, 27, 456, 0, 1008, 42, 408, 54, 20, 3], [2, 28, 28, 448, 28, 952, 112, 352, 82, 12, 4], [2, 28, 29, 440, 56, 896, 182, 296, 110, 4, 5], [2, 29, 21, 468, 0, 966, 126, 324, 102, 5, 5], [3, 5, 172, 4, 826, 70, 700, 148, 91, 29, 0], [3, 6, 164, 32, 770, 140, 644, 176, 83, 30, 0], [3, 6, 165, 24, 798, 84, 714, 120, 111, 22, 1], [3, 6, 166, 16, 826, 28, 784, 64, 139, 14, 2], [3, 7, 156, 60, 714, 210, 588, 204, 75, 31, 0], [3, 7, 157, 52, 742, 154, 658, 148, 103, 23, 1], [3, 7, 158, 44, 770, 98, 728, 92, 131, 15, 2], [3, 7, 159, 36, 798, 42, 798, 36, 159, 7, 3], [3, 8, 148, 88, 658, 280, 532, 232, 67, 32, 0], [3, 8, 149, 80, 686, 224, 602, 176, 95, 24, 1], [3, 8, 150, 72, 714, 168, 672, 120, 123, 16, 2], [3, 8, 151, 64, 742, 112, 742, 64, 151, 8, 3], [3, 8, 152, 56, 770, 56, 812, 8, 179, 0, 4], [3, 9, 140, 116, 602, 350, 476, 260, 59, 33, 0], [3, 9, 141, 108, 630, 294, 546, 204, 87, 25, 1], [3, 9, 142, 100, 658, 238, 616, 148, 115, 17, 2], [3, 9, 143, 92, 686, 182, 686, 92, 143, 9, 3], [3, 9, 144, 84, 714, 126, 756, 36, 171, 1, 4], [3, 10, 132, 144, 546, 420, 420, 288, 51, 34, 0], [3, 10, 133, 136, 574, 364, 490, 232, 79, 26, 1], [3, 10, 134, 128, 602, 308, 560, 176, 107, 18, 2], [3, 10, 135, 120, 630, 252, 630, 120, 135, 10, 3], [3, 10, 136, 112, 658, 196, 700, 64, 163, 2, 4], [3, 11, 124, 172, 490, 490, 364, 316, 43, 35, 0], [3, 11, 125, 164, 518, 434, 434, 260, 71, 27, 1], [3, 11, 126, 156, 546, 378, 504, 204, 99, 19, 2], [3, 11, 127, 148, 574, 322, 574, 148, 127, 11, 3], [3, 11, 128, 140, 602, 266, 644, 92, 155, 3, 4], [3, 12, 116, 200, 434, 560, 308, 344, 35, 36, 0], [3, 12, 117, 192, 462, 504, 378, 288, 63, 28, 1], [3, 12, 118, 184, 490, 448, 448, 232, 91, 20, 2], [3, 12, 119, 176, 518, 392, 518, 176, 119, 12, 3], [3, 12, 120, 168, 546, 336, 588, 120, 147, 4, 4], [3, 13, 108, 228, 378, 630, 252, 372, 27, 37, 0], [3, 13, 109, 220, 406, 574, 322, 316, 55, 29, 1], [3, 13, 110, 212, 434, 518, 392, 260, 83, 21, 2], [3, 13, 111, 204, 462, 462, 462, 204, 111, 13, 3], [3, 13, 112, 196, 490, 406, 532, 148, 139, 5, 4], [3, 14, 100, 256, 322, 700, 196, 400, 19, 38, 0], [3, 14, 101, 248, 350, 644, 266, 344, 47, 30, 1], [3, 14, 102, 240, 378, 588, 336, 288, 75, 22, 2], [3, 14, 103, 232, 406, 532, 406, 232, 103, 14, 3], [3, 14, 104, 224, 434, 476, 476, 176, 131, 6, 4], [3, 15, 92, 284, 266, 770, 140, 428, 11, 39, 0], [3, 15, 93, 276, 294, 714, 210, 372, 39, 31, 1], [3, 15, 94, 268, 322, 658, 280, 316, 67, 23, 2], [3, 15, 95, 260, 350, 602, 350, 260, 95, 15, 3], [3, 15, 96, 252, 378, 546, 420, 204, 123, 7, 4], [3, 16, 84, 312, 210, 840, 84, 456, 3, 40, 0], [3, 16, 85, 304, 238, 784, 154, 400, 31, 32, 1], [3, 16, 86, 296, 266, 728, 224, 344, 59, 24, 2], [3, 16, 87, 288, 294, 672, 294, 288, 87, 16, 3], [3, 16, 88, 280, 322, 616, 364, 232, 115, 8, 4], [3, 16, 89, 272, 350, 560, 434, 176, 143, 0, 5], [3, 17, 77, 332, 182, 854, 98, 428, 23, 33, 1], [3, 17, 78, 324, 210, 798, 168, 372, 51, 25, 2], [3, 17, 79, 316, 238, 742, 238, 316, 79, 17, 3], [3, 17, 80, 308, 266, 686, 308, 260, 107, 9, 4], [3, 17, 81, 300, 294, 630, 378, 204, 135, 1, 5], [3, 18, 69, 360, 126, 924, 42, 456, 15, 34, 1], [3, 18, 70, 352, 154, 868, 112, 400, 43, 26, 2], [3, 18, 71, 344, 182, 812, 182, 344, 71, 18, 3], [3, 18, 72, 336, 210, 756, 252, 288, 99, 10, 4], [3, 18, 73, 328, 238, 700, 322, 232, 127, 2, 5], [3, 19, 62, 380, 98, 938, 56, 428, 35, 27, 2], [3, 19, 63, 372, 126, 882, 126, 372, 63, 19, 3], [3, 19, 64, 364, 154, 826, 196, 316, 91, 11, 4], [3, 19, 65, 356, 182, 770, 266, 260, 119, 3, 5], [3, 20, 54, 408, 42, 1008, 0, 456, 27, 28, 2], [3, 20, 55, 400, 70, 952, 70, 400, 55, 20, 3], [3, 20, 56, 392, 98, 896, 140, 344, 83, 12, 4], [3, 20, 57, 384, 126, 840, 210, 288, 111, 4, 5], [3, 21, 47, 428, 14, 1022, 14, 428, 47, 21, 3], [3, 21, 48, 420, 42, 966, 84, 372, 75, 13, 4], [3, 21, 49, 412, 70, 910, 154, 316, 103, 5, 5], [3, 22, 41, 440, 14, 980, 98, 344, 95, 6, 5], [4, 0, 176, 32, 728, 224, 560, 224, 68, 32, 0], [4, 0, 177, 24, 756, 168, 630, 168, 96, 24, 1], [4, 0, 178, 16, 784, 112, 700, 112, 124, 16, 2], [4, 0, 179, 8, 812, 56, 770, 56, 152, 8, 3], [4, 0, 180, 0, 840, 0, 840, 0, 180, 0, 4], [4, 1, 168, 60, 672, 294, 504, 252, 60, 33, 0], [4, 1, 169, 52, 700, 238, 574, 196, 88, 25, 1], [4, 1, 170, 44, 728, 182, 644, 140, 116, 17, 2], [4, 1, 171, 36, 756, 126, 714, 84, 144, 9, 3], [4, 1, 172, 28, 784, 70, 784, 28, 172, 1, 4], [4, 2, 160, 88, 616, 364, 448, 280, 52, 34, 0], [4, 2, 161, 80, 644, 308, 518, 224, 80, 26, 1], [4, 2, 162, 72, 672, 252, 588, 168, 108, 18, 2], [4, 2, 163, 64, 700, 196, 658, 112, 136, 10, 3], [4, 2, 164, 56, 728, 140, 728, 56, 164, 2, 4], [4, 3, 152, 116, 560, 434, 392, 308, 44, 35, 0], [4, 3, 153, 108, 588, 378, 462, 252, 72, 27, 1], [4, 3, 154, 100, 616, 322, 532, 196, 100, 19, 2], [4, 3, 155, 92, 644, 266, 602, 140, 128, 11, 3], [4, 3, 156, 84, 672, 210, 672, 84, 156, 3, 4], [4, 4, 144, 144, 504, 504, 336, 336, 36, 36, 0], [4, 4, 145, 136, 532, 448, 406, 280, 64, 28, 1], [4, 4, 146, 128, 560, 392, 476, 224, 92, 20, 2], [4, 4, 147, 120, 588, 336, 546, 168, 120, 12, 3], [4, 4, 148, 112, 616, 280, 616, 112, 148, 4, 4], [4, 5, 136, 172, 448, 574, 280, 364, 28, 37, 0], [4, 5, 137, 164, 476, 518, 350, 308, 56, 29, 1], [4, 5, 138, 156, 504, 462, 420, 252, 84, 21, 2], [4, 5, 139, 148, 532, 406, 490, 196, 112, 13, 3], [4, 5, 140, 140, 560, 350, 560, 140, 140, 5, 4], [4, 6, 128, 200, 392, 644, 224, 392, 20, 38, 0], [4, 6, 129, 192, 420, 588, 294, 336, 48, 30, 1], [4, 6, 130, 184, 448, 532, 364, 280, 76, 22, 2], [4, 6, 131, 176, 476, 476, 434, 224, 104, 14, 3], [4, 6, 132, 168, 504, 420, 504, 168, 132, 6, 4], [4, 7, 120, 228, 336, 714, 168, 420, 12, 39, 0], [4, 7, 121, 220, 364, 658, 238, 364, 40, 31, 1], [4, 7, 122, 212, 392, 602, 308, 308, 68, 23, 2], [4, 7, 123, 204, 420, 546, 378, 252, 96, 15, 3], [4, 7, 124, 196, 448, 490, 448, 196, 124, 7, 4], [4, 8, 112, 256, 280, 784, 112, 448, 4, 40, 0], [4, 8, 113, 248, 308, 728, 182, 392, 32, 32, 1], [4, 8, 114, 240, 336, 672, 252, 336, 60, 24, 2], [4, 8, 115, 232, 364, 616, 322, 280, 88, 16, 3], [4, 8, 116, 224, 392, 560, 392, 224, 116, 8, 4], [4, 8, 117, 216, 420, 504, 462, 168, 144, 0, 5], [4, 9, 105, 276, 252, 798, 126, 420, 24, 33, 1], [4, 9, 106, 268, 280, 742, 196, 364, 52, 25, 2], [4, 9, 107, 260, 308, 686, 266, 308, 80, 17, 3], [4, 9, 108, 252, 336, 630, 336, 252, 108, 9, 4], [4, 9, 109, 244, 364, 574, 406, 196, 136, 1, 5], [4, 10, 97, 304, 196, 868, 70, 448, 16, 34, 1], [4, 10, 98, 296, 224, 812, 140, 392, 44, 26, 2], [4, 10, 99, 288, 252, 756, 210, 336, 72, 18, 3], [4, 10, 100, 280, 280, 700, 280, 280, 100, 10, 4], [4, 10, 101, 272, 308, 644, 350, 224, 128, 2, 5], [4, 11, 89, 332, 140, 938, 14, 476, 8, 35, 1], [4, 11, 90, 324, 168, 882, 84, 420, 36, 27, 2], [4, 11, 91, 316, 196, 826, 154, 364, 64, 19, 3], [4, 11, 92, 308, 224, 770, 224, 308, 92, 11, 4], [4, 11, 93, 300, 252, 714, 294, 252, 120, 3, 5], [4, 12, 82, 352, 112, 952, 28, 448, 28, 28, 2], [4, 12, 83, 344, 140, 896, 98, 392, 56, 20, 3], [4, 12, 84, 336, 168, 840, 168, 336, 84, 12, 4], [4, 12, 85, 328, 196, 784, 238, 280, 112, 4, 5], [4, 13, 75, 372, 84, 966, 42, 420, 48, 21, 3], [4, 13, 76, 364, 112, 910, 112, 364, 76, 13, 4], [4, 13, 77, 356, 140, 854, 182, 308, 104, 5, 5], [4, 14, 68, 392, 56, 980, 56, 392, 68, 14, 4], [4, 14, 69, 384, 84, 924, 126, 336, 96, 6, 5], [4, 15, 60, 420, 0, 1050, 0, 420, 60, 15, 4], [4, 15, 61, 412, 28, 994, 70, 364, 88, 7, 5], [4, 16, 54, 432, 0, 1008, 84, 336, 108, 0, 6], [5, 0, 140, 200, 350, 728, 140, 440, 5, 40, 0], [5, 0, 141, 192, 378, 672, 210, 384, 33, 32, 1], [5, 0, 142, 184, 406, 616, 280, 328, 61, 24, 2], [5, 0, 143, 176, 434, 560, 350, 272, 89, 16, 3], [5, 0, 144, 168, 462, 504, 420, 216, 117, 8, 4], [5, 0, 145, 160, 490, 448, 490, 160, 145, 0, 5], [5, 1, 133, 220, 322, 742, 154, 412, 25, 33, 1], [5, 1, 134, 212, 350, 686, 224, 356, 53, 25, 2], [5, 1, 135, 204, 378, 630, 294, 300, 81, 17, 3], [5, 1, 136, 196, 406, 574, 364, 244, 109, 9, 4], [5, 1, 137, 188, 434, 518, 434, 188, 137, 1, 5], [5, 2, 125, 248, 266, 812, 98, 440, 17, 34, 1], [5, 2, 126, 240, 294, 756, 168, 384, 45, 26, 2], [5, 2, 127, 232, 322, 700, 238, 328, 73, 18, 3], [5, 2, 128, 224, 350, 644, 308, 272, 101, 10, 4], [5, 2, 129, 216, 378, 588, 378, 216, 129, 2, 5], [5, 3, 117, 276, 210, 882, 42, 468, 9, 35, 1], [5, 3, 118, 268, 238, 826, 112, 412, 37, 27, 2], [5, 3, 119, 260, 266, 770, 182, 356, 65, 19, 3], [5, 3, 120, 252, 294, 714, 252, 300, 93, 11, 4], [5, 3, 121, 244, 322, 658, 322, 244, 121, 3, 5], [5, 4, 110, 296, 182, 896, 56, 440, 29, 28, 2], [5, 4, 111, 288, 210, 840, 126, 384, 57, 20, 3], [5, 4, 112, 280, 238, 784, 196, 328, 85, 12, 4], [5, 4, 113, 272, 266, 728, 266, 272, 113, 4, 5], [5, 5, 102, 324, 126, 966, 0, 468, 21, 29, 2], [5, 5, 103, 316, 154, 910, 70, 412, 49, 21, 3], [5, 5, 104, 308, 182, 854, 140, 356, 77, 13, 4], [5, 5, 105, 300, 210, 798, 210, 300, 105, 5, 5], [5, 6, 95, 344, 98, 980, 14, 440, 41, 22, 3], [5, 6, 96, 336, 126, 924, 84, 384, 69, 14, 4], [5, 6, 97, 328, 154, 868, 154, 328, 97, 6, 5], [5, 7, 88, 364, 70, 994, 28, 412, 61, 15, 4], [5, 7, 89, 356, 98, 938, 98, 356, 89, 7, 5], [5, 8, 81, 384, 42, 1008, 42, 384, 81, 8, 5], [5, 8, 82, 376, 70, 952, 112, 328, 109, 0, 6], [5, 9, 74, 404, 14, 1022, 56, 356, 101, 1, 6], [6, 0, 108, 336, 84, 1008, 0, 432, 54, 16, 4], [6, 0, 109, 328, 112, 952, 70, 376, 82, 8, 5], [6, 0, 110, 320, 140, 896, 140, 320, 110, 0, 6], [6, 1, 101, 356, 56, 1022, 14, 404, 74, 9, 5], [6, 1, 102, 348, 84, 966, 84, 348, 102, 1, 6], [6, 2, 94, 376, 28, 1036, 28, 376, 94, 2, 6]}
(11, 2048, 7) has 1266 possible DDs: {[1, 3, 109, 20, 506, 434, 266, 596, 5, 99, 9, 0], [1, 3, 110, 12, 534, 378, 336, 540, 33, 91, 10, 0], [1, 3, 111, 4, 562, 322, 406, 484, 61, 83, 11, 0], [1, 3, 111, 5, 554, 350, 350, 554, 5, 111, 3, 1], [1, 4, 102, 40, 478, 448, 280, 568, 25, 92, 10, 0], [1, 4, 103, 32, 506, 392, 350, 512, 53, 84, 11, 0], [1, 4, 104, 24, 534, 336, 420, 456, 81, 76, 12, 0], [1, 4, 104, 25, 526, 364, 364, 526, 25, 104, 4, 1], [1, 4, 105, 16, 562, 280, 490, 400, 109, 68, 13, 0], [1, 4, 105, 17, 554, 308, 434, 470, 53, 96, 5, 1], [1, 4, 106, 8, 590, 224, 560, 344, 137, 60, 14, 0], [1, 4, 106, 9, 582, 252, 504, 414, 81, 88, 6, 1], [1, 4, 107, 0, 618, 168, 630, 288, 165, 52, 15, 0], [1, 4, 107, 1, 610, 196, 574, 358, 109, 80, 7, 1], [1, 5, 94, 68, 422, 518, 224, 596, 17, 93, 10, 0], [1, 5, 95, 60, 450, 462, 294, 540, 45, 85, 11, 0], [1, 5, 96, 52, 478, 406, 364, 484, 73, 77, 12, 0], [1, 5, 96, 53, 470, 434, 308, 554, 17, 105, 4, 1], [1, 5, 97, 44, 506, 350, 434, 428, 101, 69, 13, 0], [1, 5, 97, 45, 498, 378, 378, 498, 45, 97, 5, 1], [1, 5, 98, 36, 534, 294, 504, 372, 129, 61, 14, 0], [1, 5, 98, 37, 526, 322, 448, 442, 73, 89, 6, 1], [1, 5, 99, 28, 562, 238, 574, 316, 157, 53, 15, 0], [1, 5, 99, 29, 554, 266, 518, 386, 101, 81, 7, 1], [1, 5, 100, 20, 590, 182, 644, 260, 185, 45, 16, 0], [1, 5, 100, 21, 582, 210, 588, 330, 129, 73, 8, 1], [1, 5, 100, 22, 574, 238, 532, 400, 73, 101, 0, 2], [1, 5, 101, 12, 618, 126, 714, 204, 213, 37, 17, 0], [1, 5, 101, 13, 610, 154, 658, 274, 157, 65, 9, 1], [1, 5, 101, 14, 602, 182, 602, 344, 101, 93, 1, 2], [1, 5, 102, 4, 646, 70, 784, 148, 241, 29, 18, 0], [1, 5, 102, 5, 638, 98, 728, 218, 185, 57, 10, 1], [1, 5, 102, 6, 630, 126, 672, 288, 129, 85, 2, 2], [1, 6, 86, 96, 366, 588, 168, 624, 9, 94, 10, 0], [1, 6, 87, 88, 394, 532, 238, 568, 37, 86, 11, 0], [1, 6, 88, 80, 422, 476, 308, 512, 65, 78, 12, 0], [1, 6, 88, 81, 414, 504, 252, 582, 9, 106, 4, 1], [1, 6, 89, 72, 450, 420, 378, 456, 93, 70, 13, 0], [1, 6, 89, 73, 442, 448, 322, 526, 37, 98, 5, 1], [1, 6, 90, 64, 478, 364, 448, 400, 121, 62, 14, 0], [1, 6, 90, 65, 470, 392, 392, 470, 65, 90, 6, 1], [1, 6, 91, 56, 506, 308, 518, 344, 149, 54, 15, 0], [1, 6, 91, 57, 498, 336, 462, 414, 93, 82, 7, 1], [1, 6, 92, 48, 534, 252, 588, 288, 177, 46, 16, 0], [1, 6, 92, 49, 526, 280, 532, 358, 121, 74, 8, 1], [1, 6, 92, 50, 518, 308, 476, 428, 65, 102, 0, 2], [1, 6, 93, 40, 562, 196, 658, 232, 205, 38, 17, 0], [1, 6, 93, 41, 554, 224, 602, 302, 149, 66, 9, 1], [1, 6, 93, 42, 546, 252, 546, 372, 93, 94, 1, 2], [1, 6, 94, 32, 590, 140, 728, 176, 233, 30, 18, 0], [1, 6, 94, 33, 582, 168, 672, 246, 177, 58, 10, 1], [1, 6, 94, 34, 574, 196, 616, 316, 121, 86, 2, 2], [1, 6, 95, 24, 618, 84, 798, 120, 261, 22, 19, 0], [1, 6, 95, 25, 610, 112, 742, 190, 205, 50, 11, 1], [1, 6, 95, 26, 602, 140, 686, 260, 149, 78, 3, 2], [1, 6, 96, 16, 646, 28, 868, 64, 289, 14, 20, 0], [1, 6, 96, 17, 638, 56, 812, 134, 233, 42, 12, 1], [1, 6, 96, 18, 630, 84, 756, 204, 177, 70, 4, 2], [1, 6, 97, 9, 666, 0, 882, 78, 261, 34, 13, 1], [1, 6, 97, 10, 658, 28, 826, 148, 205, 62, 5, 2], [1, 7, 78, 124, 310, 658, 112, 652, 1, 95, 10, 0], [1, 7, 79, 116, 338, 602, 182, 596, 29, 87, 11, 0], [1, 7, 80, 108, 366, 546, 252, 540, 57, 79, 12, 0], [1, 7, 80, 109, 358, 574, 196, 610, 1, 107, 4, 1], [1, 7, 81, 100, 394, 490, 322, 484, 85, 71, 13, 0], [1, 7, 81, 101, 386, 518, 266, 554, 29, 99, 5, 1], [1, 7, 82, 92, 422, 434, 392, 428, 113, 63, 14, 0], [1, 7, 82, 93, 414, 462, 336, 498, 57, 91, 6, 1], [1, 7, 83, 84, 450, 378, 462, 372, 141, 55, 15, 0], [1, 7, 83, 85, 442, 406, 406, 442, 85, 83, 7, 1], [1, 7, 84, 76, 478, 322, 532, 316, 169, 47, 16, 0], [1, 7, 84, 77, 470, 350, 476, 386, 113, 75, 8, 1], [1, 7, 84, 78, 462, 378, 420, 456, 57, 103, 0, 2], [1, 7, 85, 68, 506, 266, 602, 260, 197, 39, 17, 0], [1, 7, 85, 69, 498, 294, 546, 330, 141, 67, 9, 1], [1, 7, 85, 70, 490, 322, 490, 400, 85, 95, 1, 2], [1, 7, 86, 60, 534, 210, 672, 204, 225, 31, 18, 0], [1, 7, 86, 61, 526, 238, 616, 274, 169, 59, 10, 1], [1, 7, 86, 62, 518, 266, 560, 344, 113, 87, 2, 2], [1, 7, 87, 52, 562, 154, 742, 148, 253, 23, 19, 0], [1, 7, 87, 53, 554, 182, 686, 218, 197, 51, 11, 1], [1, 7, 87, 54, 546, 210, 630, 288, 141, 79, 3, 2], [1, 7, 88, 44, 590, 98, 812, 92, 281, 15, 20, 0], [1, 7, 88, 45, 582, 126, 756, 162, 225, 43, 12, 1], [1, 7, 88, 46, 574, 154, 700, 232, 169, 71, 4, 2], [1, 7, 89, 36, 618, 42, 882, 36, 309, 7, 21, 0], [1, 7, 89, 37, 610, 70, 826, 106, 253, 35, 13, 1], [1, 7, 89, 38, 602, 98, 770, 176, 197, 63, 5, 2], [1, 7, 90, 29, 638, 14, 896, 50, 281, 27, 14, 1], [1, 7, 90, 30, 630, 42, 840, 120, 225, 55, 6, 2], [1, 8, 71, 144, 282, 672, 126, 624, 21, 88, 11, 0], [1, 8, 72, 136, 310, 616, 196, 568, 49, 80, 12, 0], [1, 8, 73, 128, 338, 560, 266, 512, 77, 72, 13, 0], [1, 8, 73, 129, 330, 588, 210, 582, 21, 100, 5, 1], [1, 8, 74, 120, 366, 504, 336, 456, 105, 64, 14, 0], [1, 8, 74, 121, 358, 532, 280, 526, 49, 92, 6, 1], [1, 8, 75, 112, 394, 448, 406, 400, 133, 56, 15, 0], [1, 8, 75, 113, 386, 476, 350, 470, 77, 84, 7, 1], [1, 8, 76, 104, 422, 392, 476, 344, 161, 48, 16, 0], [1, 8, 76, 105, 414, 420, 420, 414, 105, 76, 8, 1], [1, 8, 76, 106, 406, 448, 364, 484, 49, 104, 0, 2], [1, 8, 77, 96, 450, 336, 546, 288, 189, 40, 17, 0], [1, 8, 77, 97, 442, 364, 490, 358, 133, 68, 9, 1], [1, 8, 77, 98, 434, 392, 434, 428, 77, 96, 1, 2], [1, 8, 78, 88, 478, 280, 616, 232, 217, 32, 18, 0], [1, 8, 78, 89, 470, 308, 560, 302, 161, 60, 10, 1], [1, 8, 78, 90, 462, 336, 504, 372, 105, 88, 2, 2], [1, 8, 79, 80, 506, 224, 686, 176, 245, 24, 19, 0], [1, 8, 79, 81, 498, 252, 630, 246, 189, 52, 11, 1], [1, 8, 79, 82, 490, 280, 574, 316, 133, 80, 3, 2], [1, 8, 80, 72, 534, 168, 756, 120, 273, 16, 20, 0], [1, 8, 80, 73, 526, 196, 700, 190, 217, 44, 12, 1], [1, 8, 80, 74, 518, 224, 644, 260, 161, 72, 4, 2], [1, 8, 81, 64, 562, 112, 826, 64, 301, 8, 21, 0], [1, 8, 81, 65, 554, 140, 770, 134, 245, 36, 13, 1], [1, 8, 81, 66, 546, 168, 714, 204, 189, 64, 5, 2], [1, 8, 82, 56, 590, 56, 896, 8, 329, 0, 22, 0], [1, 8, 82, 57, 582, 84, 840, 78, 273, 28, 14, 1], [1, 8, 82, 58, 574, 112, 784, 148, 217, 56, 6, 2], [1, 8, 83, 49, 610, 28, 910, 22, 301, 20, 15, 1], [1, 8, 83, 50, 602, 56, 854, 92, 245, 48, 7, 2], [1, 8, 84, 42, 630, 0, 924, 36, 273, 40, 8, 2], [1, 8, 84, 43, 622, 28, 868, 106, 217, 68, 0, 3], [1, 9, 63, 172, 226, 742, 70, 652, 13, 89, 11, 0], [1, 9, 64, 164, 254, 686, 140, 596, 41, 81, 12, 0], [1, 9, 65, 156, 282, 630, 210, 540, 69, 73, 13, 0], [1, 9, 65, 157, 274, 658, 154, 610, 13, 101, 5, 1], [1, 9, 66, 148, 310, 574, 280, 484, 97, 65, 14, 0], [1, 9, 66, 149, 302, 602, 224, 554, 41, 93, 6, 1], [1, 9, 67, 140, 338, 518, 350, 428, 125, 57, 15, 0], [1, 9, 67, 141, 330, 546, 294, 498, 69, 85, 7, 1], [1, 9, 68, 132, 366, 462, 420, 372, 153, 49, 16, 0], [1, 9, 68, 133, 358, 490, 364, 442, 97, 77, 8, 1], [1, 9, 68, 134, 350, 518, 308, 512, 41, 105, 0, 2], [1, 9, 69, 124, 394, 406, 490, 316, 181, 41, 17, 0], [1, 9, 69, 125, 386, 434, 434, 386, 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2, 32, 316, 40, 700, 448, 208, 244, 50, 0, 4], [4, 2, 33, 307, 76, 616, 574, 82, 328, 14, 9, 3], [4, 2, 33, 308, 68, 644, 518, 152, 272, 42, 1, 4], [4, 2, 34, 299, 104, 560, 644, 26, 356, 6, 10, 3], [4, 2, 34, 300, 96, 588, 588, 96, 300, 34, 2, 4], [4, 2, 35, 292, 124, 532, 658, 40, 328, 26, 3, 4], [4, 3, 25, 335, 20, 686, 518, 110, 320, 15, 9, 3], [4, 3, 25, 336, 12, 714, 462, 180, 264, 43, 1, 4], [4, 3, 26, 327, 48, 630, 588, 54, 348, 7, 10, 3], [4, 3, 26, 328, 40, 658, 532, 124, 292, 35, 2, 4], [4, 3, 27, 320, 68, 602, 602, 68, 320, 27, 3, 4], [4, 3, 28, 312, 96, 546, 672, 12, 348, 19, 4, 4], [4, 4, 19, 347, 20, 644, 602, 26, 368, 0, 11, 3], [4, 4, 19, 348, 12, 672, 546, 96, 312, 28, 3, 4], [4, 4, 20, 340, 40, 616, 616, 40, 340, 20, 4, 4], [4, 5, 13, 360, 12, 630, 630, 12, 360, 13, 5, 4]}
(12, 2048, 7) has 4045 possible DDs: {[1, 0, 48, 137, 46, 820, 28, 574, 313, 4, 76, 1, 0], [1, 0, 49, 130, 66, 792, 42, 588, 285, 24, 69, 2, 0], [1, 0, 50, 122, 94, 736, 112, 532, 313, 16, 70, 2, 0], [1, 0, 50, 123, 86, 764, 56, 602, 257, 44, 62, 3, 0], [1, 0, 50, 124, 78, 792, 0, 672, 201, 72, 54, 4, 0], [1, 0, 51, 114, 122, 680, 182, 476, 341, 8, 71, 2, 0], [1, 0, 51, 115, 114, 708, 126, 546, 285, 36, 63, 3, 0], [1, 0, 51, 116, 106, 736, 70, 616, 229, 64, 55, 4, 0], [1, 0, 51, 117, 98, 764, 14, 686, 173, 92, 47, 5, 0], [1, 0, 52, 106, 150, 624, 252, 420, 369, 0, 72, 2, 0], [1, 0, 52, 107, 142, 652, 196, 490, 313, 28, 64, 3, 0], [1, 0, 52, 108, 134, 680, 140, 560, 257, 56, 56, 4, 0], [1, 0, 52, 109, 126, 708, 84, 630, 201, 84, 48, 5, 0], [1, 0, 52, 110, 118, 736, 28, 700, 145, 112, 40, 6, 0], [1, 0, 53, 99, 170, 596, 266, 434, 341, 20, 65, 3, 0], [1, 0, 53, 100, 162, 624, 210, 504, 285, 48, 57, 4, 0], [1, 0, 53, 101, 154, 652, 154, 574, 229, 76, 49, 5, 0], [1, 0, 53, 102, 146, 680, 98, 644, 173, 104, 41, 6, 0], [1, 0, 53, 103, 138, 708, 42, 714, 117, 132, 33, 7, 0], [1, 0, 53, 104, 131, 728, 14, 728, 131, 104, 53, 0, 1], [1, 0, 54, 91, 198, 540, 336, 378, 369, 12, 66, 3, 0], [1, 0, 54, 92, 190, 568, 280, 448, 313, 40, 58, 4, 0], [1, 0, 54, 93, 182, 596, 224, 518, 257, 68, 50, 5, 0], [1, 0, 54, 94, 174, 624, 168, 588, 201, 96, 42, 6, 0], [1, 0, 54, 95, 166, 652, 112, 658, 145, 124, 34, 7, 0], [1, 0, 54, 96, 158, 680, 56, 728, 89, 152, 26, 8, 0], [1, 0, 54, 96, 159, 672, 84, 672, 159, 96, 54, 0, 1], [1, 0, 54, 97, 150, 708, 0, 798, 33, 180, 18, 9, 0], [1, 0, 54, 97, 151, 700, 28, 742, 103, 124, 46, 1, 1], [1, 0, 55, 83, 226, 484, 406, 322, 397, 4, 67, 3, 0], [1, 0, 55, 84, 218, 512, 350, 392, 341, 32, 59, 4, 0], [1, 0, 55, 85, 210, 540, 294, 462, 285, 60, 51, 5, 0], [1, 0, 55, 86, 202, 568, 238, 532, 229, 88, 43, 6, 0], [1, 0, 55, 87, 194, 596, 182, 602, 173, 116, 35, 7, 0], [1, 0, 55, 88, 186, 624, 126, 672, 117, 144, 27, 8, 0], [1, 0, 55, 88, 187, 616, 154, 616, 187, 88, 55, 0, 1], [1, 0, 55, 89, 178, 652, 70, 742, 61, 172, 19, 9, 0], [1, 0, 55, 89, 179, 644, 98, 686, 131, 116, 47, 1, 1], [1, 0, 55, 90, 170, 680, 14, 812, 5, 200, 11, 10, 0], [1, 0, 55, 90, 171, 672, 42, 756, 75, 144, 39, 2, 1], [1, 0, 56, 76, 246, 456, 420, 336, 369, 24, 60, 4, 0], [1, 0, 56, 77, 238, 484, 364, 406, 313, 52, 52, 5, 0], [1, 0, 56, 78, 230, 512, 308, 476, 257, 80, 44, 6, 0], [1, 0, 56, 79, 222, 540, 252, 546, 201, 108, 36, 7, 0], [1, 0, 56, 80, 214, 568, 196, 616, 145, 136, 28, 8, 0], [1, 0, 56, 80, 215, 560, 224, 560, 215, 80, 56, 0, 1], [1, 0, 56, 81, 206, 596, 140, 686, 89, 164, 20, 9, 0], [1, 0, 56, 81, 207, 588, 168, 630, 159, 108, 48, 1, 1], [1, 0, 56, 82, 198, 624, 84, 756, 33, 192, 12, 10, 0], [1, 0, 56, 82, 199, 616, 112, 700, 103, 136, 40, 2, 1], [1, 0, 56, 83, 191, 644, 56, 770, 47, 164, 32, 3, 1], [1, 0, 57, 68, 274, 400, 490, 280, 397, 16, 61, 4, 0], [1, 0, 57, 69, 266, 428, 434, 350, 341, 44, 53, 5, 0], [1, 0, 57, 70, 258, 456, 378, 420, 285, 72, 45, 6, 0], [1, 0, 57, 71, 250, 484, 322, 490, 229, 100, 37, 7, 0], [1, 0, 57, 72, 242, 512, 266, 560, 173, 128, 29, 8, 0], [1, 0, 57, 72, 243, 504, 294, 504, 243, 72, 57, 0, 1], [1, 0, 57, 73, 234, 540, 210, 630, 117, 156, 21, 9, 0], [1, 0, 57, 73, 235, 532, 238, 574, 187, 100, 49, 1, 1], [1, 0, 57, 74, 226, 568, 154, 700, 61, 184, 13, 10, 0], [1, 0, 57, 74, 227, 560, 182, 644, 131, 128, 41, 2, 1], [1, 0, 57, 75, 218, 596, 98, 770, 5, 212, 5, 11, 0], [1, 0, 57, 75, 219, 588, 126, 714, 75, 156, 33, 3, 1], [1, 0, 57, 76, 211, 616, 70, 784, 19, 184, 25, 4, 1], [1, 0, 58, 60, 302, 344, 560, 224, 425, 8, 62, 4, 0], [1, 0, 58, 61, 294, 372, 504, 294, 369, 36, 54, 5, 0], [1, 0, 58, 62, 286, 400, 448, 364, 313, 64, 46, 6, 0], [1, 0, 58, 63, 278, 428, 392, 434, 257, 92, 38, 7, 0], [1, 0, 58, 64, 270, 456, 336, 504, 201, 120, 30, 8, 0], [1, 0, 58, 64, 271, 448, 364, 448, 271, 64, 58, 0, 1], [1, 0, 58, 65, 262, 484, 280, 574, 145, 148, 22, 9, 0], [1, 0, 58, 65, 263, 476, 308, 518, 215, 92, 50, 1, 1], [1, 0, 58, 66, 254, 512, 224, 644, 89, 176, 14, 10, 0], [1, 0, 58, 66, 255, 504, 252, 588, 159, 120, 42, 2, 1], [1, 0, 58, 67, 246, 540, 168, 714, 33, 204, 6, 11, 0], [1, 0, 58, 67, 247, 532, 196, 658, 103, 148, 34, 3, 1], [1, 0, 58, 68, 239, 560, 140, 728, 47, 176, 26, 4, 1], [1, 0, 59, 52, 330, 288, 630, 168, 453, 0, 63, 4, 0], [1, 0, 59, 53, 322, 316, 574, 238, 397, 28, 55, 5, 0], [1, 0, 59, 54, 314, 344, 518, 308, 341, 56, 47, 6, 0], [1, 0, 59, 55, 306, 372, 462, 378, 285, 84, 39, 7, 0], [1, 0, 59, 56, 298, 400, 406, 448, 229, 112, 31, 8, 0], [1, 0, 59, 56, 299, 392, 434, 392, 299, 56, 59, 0, 1], [1, 0, 59, 57, 290, 428, 350, 518, 173, 140, 23, 9, 0], [1, 0, 59, 57, 291, 420, 378, 462, 243, 84, 51, 1, 1], [1, 0, 59, 58, 282, 456, 294, 588, 117, 168, 15, 10, 0], [1, 0, 59, 58, 283, 448, 322, 532, 187, 112, 43, 2, 1], [1, 0, 59, 59, 274, 484, 238, 658, 61, 196, 7, 11, 0], [1, 0, 59, 59, 275, 476, 266, 602, 131, 140, 35, 3, 1], [1, 0, 59, 60, 267, 504, 210, 672, 75, 168, 27, 4, 1], [1, 0, 59, 61, 259, 532, 154, 742, 19, 196, 19, 5, 1], [1, 0, 60, 45, 350, 260, 644, 182, 425, 20, 56, 5, 0], [1, 0, 60, 46, 342, 288, 588, 252, 369, 48, 48, 6, 0], [1, 0, 60, 47, 334, 316, 532, 322, 313, 76, 40, 7, 0], [1, 0, 60, 48, 326, 344, 476, 392, 257, 104, 32, 8, 0], [1, 0, 60, 48, 327, 336, 504, 336, 327, 48, 60, 0, 1], [1, 0, 60, 49, 318, 372, 420, 462, 201, 132, 24, 9, 0], [1, 0, 60, 49, 319, 364, 448, 406, 271, 76, 52, 1, 1], [1, 0, 60, 50, 310, 400, 364, 532, 145, 160, 16, 10, 0], [1, 0, 60, 50, 311, 392, 392, 476, 215, 104, 44, 2, 1], [1, 0, 60, 51, 302, 428, 308, 602, 89, 188, 8, 11, 0], [1, 0, 60, 51, 303, 420, 336, 546, 159, 132, 36, 3, 1], [1, 0, 60, 52, 294, 456, 252, 672, 33, 216, 0, 12, 0], [1, 0, 60, 52, 295, 448, 280, 616, 103, 160, 28, 4, 1], [1, 0, 60, 53, 287, 476, 224, 686, 47, 188, 20, 5, 1], [1, 0, 61, 37, 378, 204, 714, 126, 453, 12, 57, 5, 0], [1, 0, 61, 38, 370, 232, 658, 196, 397, 40, 49, 6, 0], [1, 0, 61, 39, 362, 260, 602, 266, 341, 68, 41, 7, 0], [1, 0, 61, 40, 354, 288, 546, 336, 285, 96, 33, 8, 0], [1, 0, 61, 40, 355, 280, 574, 280, 355, 40, 61, 0, 1], [1, 0, 61, 41, 346, 316, 490, 406, 229, 124, 25, 9, 0], [1, 0, 61, 41, 347, 308, 518, 350, 299, 68, 53, 1, 1], [1, 0, 61, 42, 338, 344, 434, 476, 173, 152, 17, 10, 0], [1, 0, 61, 42, 339, 336, 462, 420, 243, 96, 45, 2, 1], [1, 0, 61, 43, 330, 372, 378, 546, 117, 180, 9, 11, 0], [1, 0, 61, 43, 331, 364, 406, 490, 187, 124, 37, 3, 1], [1, 0, 61, 44, 322, 400, 322, 616, 61, 208, 1, 12, 0], [1, 0, 61, 44, 323, 392, 350, 560, 131, 152, 29, 4, 1], [1, 0, 61, 45, 315, 420, 294, 630, 75, 180, 21, 5, 1], [1, 0, 61, 46, 307, 448, 238, 700, 19, 208, 13, 6, 1], [1, 0, 62, 29, 406, 148, 784, 70, 481, 4, 58, 5, 0], [1, 0, 62, 30, 398, 176, 728, 140, 425, 32, 50, 6, 0], [1, 0, 62, 31, 390, 204, 672, 210, 369, 60, 42, 7, 0], [1, 0, 62, 32, 382, 232, 616, 280, 313, 88, 34, 8, 0], [1, 0, 62, 32, 383, 224, 644, 224, 383, 32, 62, 0, 1], [1, 0, 62, 33, 374, 260, 560, 350, 257, 116, 26, 9, 0], [1, 0, 62, 33, 375, 252, 588, 294, 327, 60, 54, 1, 1], [1, 0, 62, 34, 366, 288, 504, 420, 201, 144, 18, 10, 0], [1, 0, 62, 34, 367, 280, 532, 364, 271, 88, 46, 2, 1], [1, 0, 62, 35, 358, 316, 448, 490, 145, 172, 10, 11, 0], [1, 0, 62, 35, 359, 308, 476, 434, 215, 116, 38, 3, 1], [1, 0, 62, 36, 350, 344, 392, 560, 89, 200, 2, 12, 0], [1, 0, 62, 36, 351, 336, 420, 504, 159, 144, 30, 4, 1], [1, 0, 62, 37, 343, 364, 364, 574, 103, 172, 22, 5, 1], [1, 0, 62, 38, 335, 392, 308, 644, 47, 200, 14, 6, 1], [1, 0, 62, 40, 320, 440, 224, 728, 5, 200, 26, 0, 2], [1, 0, 63, 22, 426, 120, 798, 84, 453, 24, 51, 6, 0], [1, 0, 63, 23, 418, 148, 742, 154, 397, 52, 43, 7, 0], [1, 0, 63, 24, 410, 176, 686, 224, 341, 80, 35, 8, 0], [1, 0, 63, 24, 411, 168, 714, 168, 411, 24, 63, 0, 1], [1, 0, 63, 25, 402, 204, 630, 294, 285, 108, 27, 9, 0], [1, 0, 63, 25, 403, 196, 658, 238, 355, 52, 55, 1, 1], [1, 0, 63, 26, 394, 232, 574, 364, 229, 136, 19, 10, 0], [1, 0, 63, 26, 395, 224, 602, 308, 299, 80, 47, 2, 1], [1, 0, 63, 27, 386, 260, 518, 434, 173, 164, 11, 11, 0], [1, 0, 63, 27, 387, 252, 546, 378, 243, 108, 39, 3, 1], [1, 0, 63, 28, 378, 288, 462, 504, 117, 192, 3, 12, 0], [1, 0, 63, 28, 379, 280, 490, 448, 187, 136, 31, 4, 1], [1, 0, 63, 29, 371, 308, 434, 518, 131, 164, 23, 5, 1], [1, 0, 63, 30, 363, 336, 378, 588, 75, 192, 15, 6, 1], [1, 0, 63, 31, 355, 364, 322, 658, 19, 220, 7, 7, 1], [1, 0, 63, 32, 348, 384, 294, 672, 33, 192, 27, 0, 2], [1, 0, 64, 14, 454, 64, 868, 28, 481, 16, 52, 6, 0], [1, 0, 64, 15, 446, 92, 812, 98, 425, 44, 44, 7, 0], [1, 0, 64, 16, 438, 120, 756, 168, 369, 72, 36, 8, 0], [1, 0, 64, 16, 439, 112, 784, 112, 439, 16, 64, 0, 1], [1, 0, 64, 17, 430, 148, 700, 238, 313, 100, 28, 9, 0], [1, 0, 64, 17, 431, 140, 728, 182, 383, 44, 56, 1, 1], [1, 0, 64, 18, 422, 176, 644, 308, 257, 128, 20, 10, 0], [1, 0, 64, 18, 423, 168, 672, 252, 327, 72, 48, 2, 1], [1, 0, 64, 19, 414, 204, 588, 378, 201, 156, 12, 11, 0], [1, 0, 64, 19, 415, 196, 616, 322, 271, 100, 40, 3, 1], [1, 0, 64, 20, 406, 232, 532, 448, 145, 184, 4, 12, 0], [1, 0, 64, 20, 407, 224, 560, 392, 215, 128, 32, 4, 1], [1, 0, 64, 21, 399, 252, 504, 462, 159, 156, 24, 5, 1], [1, 0, 64, 22, 391, 280, 448, 532, 103, 184, 16, 6, 1], [1, 0, 64, 23, 383, 308, 392, 602, 47, 212, 8, 7, 1], [1, 0, 64, 24, 376, 328, 364, 616, 61, 184, 28, 0, 2], [1, 0, 64, 25, 368, 356, 308, 686, 5, 212, 20, 1, 2], [1, 0, 65, 7, 474, 36, 882, 42, 453, 36, 45, 7, 0], [1, 0, 65, 8, 466, 64, 826, 112, 397, 64, 37, 8, 0], [1, 0, 65, 8, 467, 56, 854, 56, 467, 8, 65, 0, 1], [1, 0, 65, 9, 458, 92, 770, 182, 341, 92, 29, 9, 0], [1, 0, 65, 9, 459, 84, 798, 126, 411, 36, 57, 1, 1], [1, 0, 65, 10, 450, 120, 714, 252, 285, 120, 21, 10, 0], [1, 0, 65, 10, 451, 112, 742, 196, 355, 64, 49, 2, 1], [1, 0, 65, 11, 442, 148, 658, 322, 229, 148, 13, 11, 0], [1, 0, 65, 11, 443, 140, 686, 266, 299, 92, 41, 3, 1], [1, 0, 65, 12, 434, 176, 602, 392, 173, 176, 5, 12, 0], [1, 0, 65, 12, 435, 168, 630, 336, 243, 120, 33, 4, 1], [1, 0, 65, 13, 427, 196, 574, 406, 187, 148, 25, 5, 1], [1, 0, 65, 14, 419, 224, 518, 476, 131, 176, 17, 6, 1], [1, 0, 65, 15, 411, 252, 462, 546, 75, 204, 9, 7, 1], [1, 0, 65, 16, 403, 280, 406, 616, 19, 232, 1, 8, 1], [1, 0, 65, 16, 404, 272, 434, 560, 89, 176, 29, 0, 2], [1, 0, 65, 17, 396, 300, 378, 630, 33, 204, 21, 1, 2], [1, 0, 66, 0, 494, 8, 896, 56, 425, 56, 38, 8, 0], [1, 0, 66, 0, 495, 0, 924, 0, 495, 0, 66, 0, 1], [1, 0, 66, 1, 486, 36, 840, 126, 369, 84, 30, 9, 0], [1, 0, 66, 1, 487, 28, 868, 70, 439, 28, 58, 1, 1], [1, 0, 66, 2, 478, 64, 784, 196, 313, 112, 22, 10, 0], [1, 0, 66, 2, 479, 56, 812, 140, 383, 56, 50, 2, 1], [1, 0, 66, 3, 470, 92, 728, 266, 257, 140, 14, 11, 0], [1, 0, 66, 3, 471, 84, 756, 210, 327, 84, 42, 3, 1], [1, 0, 66, 4, 462, 120, 672, 336, 201, 168, 6, 12, 0], [1, 0, 66, 4, 463, 112, 700, 280, 271, 112, 34, 4, 1], [1, 0, 66, 5, 455, 140, 644, 350, 215, 140, 26, 5, 1], [1, 0, 66, 6, 447, 168, 588, 420, 159, 168, 18, 6, 1], [1, 0, 66, 7, 439, 196, 532, 490, 103, 196, 10, 7, 1], 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