-------
(12, 1792, 7) Remaining 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 136 possible DDs: {[1, 18, 100, 112, 574, 196, 532, 160, 73, 26, 0], [1, 18, 101, 104, 602, 140, 602, 104, 101, 18, 1], [1, 19, 92, 140, 518, 266, 476, 188, 65, 27, 0], [1, 19, 93, 132, 546, 210, 546, 132, 93, 19, 1], [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, 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, 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, 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, 31, 340, 154, 658, 238, 244, 85, 11, 3], [1, 27, 32, 332, 182, 602, 308, 188, 113, 3, 4], [2, 11, 120, 84, 588, 210, 504, 180, 66, 27, 0], [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, 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, 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, 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, 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, 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, 44, 332, 140, 686, 224, 236, 98, 5, 4], [3, 5, 132, 84, 546, 294, 420, 228, 51, 29, 0], [3, 5, 133, 76, 574, 238, 490, 172, 79, 21, 1], [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, 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, 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, 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, 71, 284, 182, 686, 182, 284, 71, 13, 3], [3, 13, 72, 276, 210, 630, 252, 228, 99, 5, 4], [3, 14, 63, 312, 126, 756, 126, 312, 63, 14, 3], [3, 14, 64, 304, 154, 700, 196, 256, 91, 6, 4], [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, 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, 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, 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, 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, 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, 91, 256, 196, 700, 154, 304, 64, 14, 3], [4, 6, 92, 248, 224, 644, 224, 248, 92, 6, 4], [4, 7, 84, 276, 168, 714, 168, 276, 84, 7, 4], [4, 8, 76, 304, 112, 784, 112, 304, 76, 8, 4], [4, 8, 77, 296, 140, 728, 182, 248, 104, 0, 5], [5, 0, 104, 248, 182, 728, 140, 296, 77, 8, 4], [5, 0, 105, 240, 210, 672, 210, 240, 105, 0, 5], [5, 1, 97, 268, 154, 742, 154, 268, 97, 1, 5]}
(11, 1792, 7) has 297 possible DDs: {[1, 4, 83, 52, 406, 364, 322, 412, 73, 64, 11, 0], [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, 5, 75, 80, 350, 434, 266, 440, 65, 65, 11, 0], [1, 5, 76, 72, 378, 378, 336, 384, 93, 57, 12, 0], [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, 49, 454, 238, 490, 286, 121, 61, 7, 1], [1, 6, 67, 108, 294, 504, 210, 468, 57, 66, 11, 0], [1, 6, 68, 100, 322, 448, 280, 412, 85, 58, 12, 0], [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, 7, 60, 128, 266, 518, 224, 440, 77, 59, 12, 0], [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, 81, 426, 210, 588, 174, 189, 39, 10, 1], [1, 7, 66, 82, 418, 238, 532, 244, 133, 67, 2, 2], [1, 7, 67, 74, 446, 182, 602, 188, 161, 59, 3, 2], [1, 8, 52, 156, 210, 588, 168, 468, 69, 60, 12, 0], [1, 8, 53, 148, 238, 532, 238, 412, 97, 52, 13, 0], [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, 101, 398, 224, 602, 146, 209, 32, 11, 1], [1, 8, 59, 102, 390, 252, 546, 216, 153, 60, 3, 2], [1, 8, 60, 94, 418, 196, 616, 160, 181, 52, 4, 2], [1, 9, 45, 176, 182, 602, 182, 440, 89, 53, 13, 0], [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, 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, 114, 390, 210, 630, 132, 201, 45, 5, 2], [1, 10, 38, 196, 154, 616, 196, 412, 109, 46, 14, 0], [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, 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, 142, 334, 280, 574, 160, 193, 46, 5, 2], [1, 10, 46, 134, 362, 224, 644, 104, 221, 38, 6, 2], [1, 11, 31, 216, 126, 630, 210, 384, 129, 39, 15, 0], [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, 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, 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, 162, 306, 294, 588, 132, 213, 39, 6, 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, 213, 174, 504, 378, 258, 177, 36, 11, 1], [1, 12, 27, 214, 166, 532, 322, 328, 121, 64, 3, 2], [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, 190, 250, 364, 532, 160, 205, 40, 6, 2], [1, 12, 31, 182, 278, 308, 602, 104, 233, 32, 7, 2], [1, 12, 32, 175, 298, 280, 616, 118, 205, 52, 0, 3], [1, 13, 19, 241, 118, 574, 322, 286, 169, 37, 11, 1], [1, 13, 20, 233, 146, 518, 392, 230, 197, 29, 12, 1], [1, 13, 20, 234, 138, 546, 336, 300, 141, 57, 4, 2], [1, 13, 21, 225, 174, 462, 462, 174, 225, 21, 13, 1], [1, 13, 21, 226, 166, 490, 406, 244, 169, 49, 5, 2], [1, 13, 22, 218, 194, 434, 476, 188, 197, 41, 6, 2], [1, 13, 23, 210, 222, 378, 546, 132, 225, 33, 7, 2], [1, 13, 24, 203, 242, 350, 560, 146, 197, 53, 0, 3], [1, 14, 14, 245, 146, 476, 476, 146, 245, 14, 14, 1], [1, 14, 14, 246, 138, 504, 420, 216, 189, 42, 6, 2], [1, 14, 15, 238, 166, 448, 490, 160, 217, 34, 7, 2], [1, 14, 16, 231, 186, 420, 504, 174, 189, 54, 0, 3], [2, 0, 80, 100, 280, 532, 196, 460, 70, 60, 12, 0], [2, 0, 81, 92, 308, 476, 266, 404, 98, 52, 13, 0], [2, 0, 82, 84, 336, 420, 336, 348, 126, 44, 14, 0], [2, 0, 82, 85, 328, 448, 280, 418, 70, 72, 6, 1], [2, 0, 83, 76, 364, 364, 406, 292, 154, 36, 15, 0], [2, 0, 83, 77, 356, 392, 350, 362, 98, 64, 7, 1], [2, 0, 84, 68, 392, 308, 476, 236, 182, 28, 16, 0], [2, 0, 84, 69, 384, 336, 420, 306, 126, 56, 8, 1], [2, 0, 84, 70, 376, 364, 364, 376, 70, 84, 0, 2], [2, 0, 85, 60, 420, 252, 546, 180, 210, 20, 17, 0], [2, 0, 85, 61, 412, 280, 490, 250, 154, 48, 9, 1], [2, 0, 85, 62, 404, 308, 434, 320, 98, 76, 1, 2], [2, 0, 86, 53, 440, 224, 560, 194, 182, 40, 10, 1], [2, 0, 86, 54, 432, 252, 504, 264, 126, 68, 2, 2], [2, 1, 73, 120, 252, 546, 210, 432, 90, 53, 13, 0], [2, 1, 74, 112, 280, 490, 280, 376, 118, 45, 14, 0], [2, 1, 74, 113, 272, 518, 224, 446, 62, 73, 6, 1], [2, 1, 75, 104, 308, 434, 350, 320, 146, 37, 15, 0], [2, 1, 75, 105, 300, 462, 294, 390, 90, 65, 7, 1], [2, 1, 76, 96, 336, 378, 420, 264, 174, 29, 16, 0], [2, 1, 76, 97, 328, 406, 364, 334, 118, 57, 8, 1], [2, 1, 76, 98, 320, 434, 308, 404, 62, 85, 0, 2], [2, 1, 77, 88, 364, 322, 490, 208, 202, 21, 17, 0], [2, 1, 77, 89, 356, 350, 434, 278, 146, 49, 9, 1], [2, 1, 77, 90, 348, 378, 378, 348, 90, 77, 1, 2], [2, 1, 78, 80, 392, 266, 560, 152, 230, 13, 18, 0], [2, 1, 78, 81, 384, 294, 504, 222, 174, 41, 10, 1], [2, 1, 78, 82, 376, 322, 448, 292, 118, 69, 2, 2], [2, 1, 79, 73, 412, 238, 574, 166, 202, 33, 11, 1], [2, 1, 79, 74, 404, 266, 518, 236, 146, 61, 3, 2], [2, 1, 80, 65, 440, 182, 644, 110, 230, 25, 12, 1], [2, 1, 80, 66, 432, 210, 588, 180, 174, 53, 4, 2], [2, 2, 65, 148, 196, 616, 154, 460, 82, 54, 13, 0], [2, 2, 66, 140, 224, 560, 224, 404, 110, 46, 14, 0], [2, 2, 67, 132, 252, 504, 294, 348, 138, 38, 15, 0], [2, 2, 67, 133, 244, 532, 238, 418, 82, 66, 7, 1], [2, 2, 68, 124, 280, 448, 364, 292, 166, 30, 16, 0], [2, 2, 68, 125, 272, 476, 308, 362, 110, 58, 8, 1], [2, 2, 68, 126, 264, 504, 252, 432, 54, 86, 0, 2], [2, 2, 69, 116, 308, 392, 434, 236, 194, 22, 17, 0], [2, 2, 69, 117, 300, 420, 378, 306, 138, 50, 9, 1], [2, 2, 69, 118, 292, 448, 322, 376, 82, 78, 1, 2], [2, 2, 70, 108, 336, 336, 504, 180, 222, 14, 18, 0], [2, 2, 70, 109, 328, 364, 448, 250, 166, 42, 10, 1], [2, 2, 70, 110, 320, 392, 392, 320, 110, 70, 2, 2], [2, 2, 71, 101, 356, 308, 518, 194, 194, 34, 11, 1], [2, 2, 71, 102, 348, 336, 462, 264, 138, 62, 3, 2], [2, 2, 72, 93, 384, 252, 588, 138, 222, 26, 12, 1], [2, 2, 72, 94, 376, 280, 532, 208, 166, 54, 4, 2], [2, 2, 73, 86, 404, 224, 602, 152, 194, 46, 5, 2], [2, 3, 58, 168, 168, 630, 168, 432, 102, 47, 14, 0], [2, 3, 59, 160, 196, 574, 238, 376, 130, 39, 15, 0], [2, 3, 59, 161, 188, 602, 182, 446, 74, 67, 7, 1], [2, 3, 60, 152, 224, 518, 308, 320, 158, 31, 16, 0], [2, 3, 60, 153, 216, 546, 252, 390, 102, 59, 8, 1], [2, 3, 61, 144, 252, 462, 378, 264, 186, 23, 17, 0], [2, 3, 61, 145, 244, 490, 322, 334, 130, 51, 9, 1], [2, 3, 61, 146, 236, 518, 266, 404, 74, 79, 1, 2], [2, 3, 62, 136, 280, 406, 448, 208, 214, 15, 18, 0], [2, 3, 62, 137, 272, 434, 392, 278, 158, 43, 10, 1], [2, 3, 62, 138, 264, 462, 336, 348, 102, 71, 2, 2], [2, 3, 63, 129, 300, 378, 462, 222, 186, 35, 11, 1], [2, 3, 63, 130, 292, 406, 406, 292, 130, 63, 3, 2], [2, 3, 64, 121, 328, 322, 532, 166, 214, 27, 12, 1], [2, 3, 64, 122, 320, 350, 476, 236, 158, 55, 4, 2], [2, 3, 65, 114, 348, 294, 546, 180, 186, 47, 5, 2], [2, 3, 66, 106, 376, 238, 616, 124, 214, 39, 6, 2], [2, 4, 51, 188, 140, 644, 182, 404, 122, 40, 15, 0], [2, 4, 52, 180, 168, 588, 252, 348, 150, 32, 16, 0], [2, 4, 52, 181, 160, 616, 196, 418, 94, 60, 8, 1], [2, 4, 53, 172, 196, 532, 322, 292, 178, 24, 17, 0], [2, 4, 53, 173, 188, 560, 266, 362, 122, 52, 9, 1], [2, 4, 53, 174, 180, 588, 210, 432, 66, 80, 1, 2], [2, 4, 54, 164, 224, 476, 392, 236, 206, 16, 18, 0], [2, 4, 54, 165, 216, 504, 336, 306, 150, 44, 10, 1], [2, 4, 54, 166, 208, 532, 280, 376, 94, 72, 2, 2], [2, 4, 55, 157, 244, 448, 406, 250, 178, 36, 11, 1], [2, 4, 55, 158, 236, 476, 350, 320, 122, 64, 3, 2], [2, 4, 56, 149, 272, 392, 476, 194, 206, 28, 12, 1], [2, 4, 56, 150, 264, 420, 420, 264, 150, 56, 4, 2], [2, 4, 57, 141, 300, 336, 546, 138, 234, 20, 13, 1], [2, 4, 57, 142, 292, 364, 490, 208, 178, 48, 5, 2], [2, 4, 58, 134, 320, 308, 560, 152, 206, 40, 6, 2], [2, 4, 59, 126, 348, 252, 630, 96, 234, 32, 7, 2], [2, 5, 44, 208, 112, 658, 196, 376, 142, 33, 16, 0], [2, 5, 45, 200, 140, 602, 266, 320, 170, 25, 17, 0], [2, 5, 45, 201, 132, 630, 210, 390, 114, 53, 9, 1], [2, 5, 46, 192, 168, 546, 336, 264, 198, 17, 18, 0], [2, 5, 46, 193, 160, 574, 280, 334, 142, 45, 10, 1], [2, 5, 46, 194, 152, 602, 224, 404, 86, 73, 2, 2], [2, 5, 47, 185, 188, 518, 350, 278, 170, 37, 11, 1], [2, 5, 47, 186, 180, 546, 294, 348, 114, 65, 3, 2], [2, 5, 48, 177, 216, 462, 420, 222, 198, 29, 12, 1], [2, 5, 48, 178, 208, 490, 364, 292, 142, 57, 4, 2], [2, 5, 49, 169, 244, 406, 490, 166, 226, 21, 13, 1], [2, 5, 49, 170, 236, 434, 434, 236, 170, 49, 5, 2], [2, 5, 50, 162, 264, 378, 504, 180, 198, 41, 6, 2], [2, 5, 51, 154, 292, 322, 574, 124, 226, 33, 7, 2], [2, 5, 52, 147, 312, 294, 588, 138, 198, 53, 0, 3], [2, 6, 38, 220, 112, 616, 280, 292, 190, 18, 18, 0], [2, 6, 38, 221, 104, 644, 224, 362, 134, 46, 10, 1], [2, 6, 39, 213, 132, 588, 294, 306, 162, 38, 11, 1], [2, 6, 39, 214, 124, 616, 238, 376, 106, 66, 3, 2], [2, 6, 40, 205, 160, 532, 364, 250, 190, 30, 12, 1], [2, 6, 40, 206, 152, 560, 308, 320, 134, 58, 4, 2], [2, 6, 41, 197, 188, 476, 434, 194, 218, 22, 13, 1], [2, 6, 41, 198, 180, 504, 378, 264, 162, 50, 5, 2], [2, 6, 42, 189, 216, 420, 504, 138, 246, 14, 14, 1], [2, 6, 42, 190, 208, 448, 448, 208, 190, 42, 6, 2], [2, 6, 43, 182, 236, 392, 518, 152, 218, 34, 7, 2], [2, 6, 44, 174, 264, 336, 588, 96, 246, 26, 8, 2], [2, 6, 44, 175, 256, 364, 532, 166, 190, 54, 0, 3], [2, 6, 45, 167, 284, 308, 602, 110, 218, 46, 1, 3], [2, 7, 32, 233, 104, 602, 308, 278, 182, 31, 12, 1], [2, 7, 32, 234, 96, 630, 252, 348, 126, 59, 4, 2], [2, 7, 33, 225, 132, 546, 378, 222, 210, 23, 13, 1], [2, 7, 33, 226, 124, 574, 322, 292, 154, 51, 5, 2], [2, 7, 34, 217, 160, 490, 448, 166, 238, 15, 14, 1], [2, 7, 34, 218, 152, 518, 392, 236, 182, 43, 6, 2], [2, 7, 35, 210, 180, 462, 462, 180, 210, 35, 7, 2], [2, 7, 36, 202, 208, 406, 532, 124, 238, 27, 8, 2], [2, 7, 36, 203, 200, 434, 476, 194, 182, 55, 0, 3], [2, 7, 37, 195, 228, 378, 546, 138, 210, 47, 1, 3], [2, 7, 38, 187, 256, 322, 616, 82, 238, 39, 2, 3], [2, 8, 26, 246, 96, 588, 336, 264, 174, 44, 6, 2], [2, 8, 27, 238, 124, 532, 406, 208, 202, 36, 7, 2], [2, 8, 28, 230, 152, 476, 476, 152, 230, 28, 8, 2], [2, 8, 28, 231, 144, 504, 420, 222, 174, 56, 0, 3], [2, 8, 29, 223, 172, 448, 490, 166, 202, 48, 1, 3], [2, 8, 30, 215, 200, 392, 560, 110, 230, 40, 2, 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, 243, 144, 462, 504, 138, 222, 41, 2, 3], [3, 0, 52, 205, 118, 616, 280, 298, 175, 32, 12, 1], [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, 182, 194, 476, 434, 200, 203, 36, 7, 2], [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, 167, 242, 392, 518, 158, 203, 48, 1, 3], [3, 0, 58, 159, 270, 336, 588, 102, 231, 40, 2, 3], [3, 1, 46, 218, 110, 602, 308, 284, 167, 45, 6, 2], [3, 1, 47, 210, 138, 546, 378, 228, 195, 37, 7, 2], [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, 187, 214, 406, 532, 130, 223, 41, 2, 3], [3, 2, 39, 238, 82, 616, 322, 256, 187, 38, 7, 2], [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, 215, 158, 476, 476, 158, 215, 42, 2, 3], [3, 2, 43, 207, 186, 420, 546, 102, 243, 34, 3, 3], [3, 3, 34, 243, 102, 546, 420, 186, 207, 43, 2, 3], [3, 3, 35, 235, 130, 490, 490, 130, 235, 35, 3, 3]}
(12, 1792, 7) has 625 possible DDs: {[1, 0, 42, 107, 102, 588, 168, 426, 273, 28, 54, 3, 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, 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, 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, 88, 147, 552, 126, 552, 147, 88, 45, 0, 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, 175, 496, 196, 496, 175, 80, 46, 0, 1], [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, 195, 468, 210, 510, 147, 100, 39, 1, 1], [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, 215, 440, 224, 524, 119, 120, 32, 2, 1], [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, 258, 336, 378, 384, 189, 112, 21, 8, 0], [1, 0, 49, 56, 259, 328, 406, 328, 259, 56, 49, 0, 1], [1, 0, 49, 57, 250, 364, 322, 454, 133, 140, 13, 9, 0], [1, 0, 49, 57, 251, 356, 350, 398, 203, 84, 41, 1, 1], [1, 0, 49, 58, 243, 384, 294, 468, 147, 112, 33, 2, 1], [1, 0, 49, 59, 235, 412, 238, 538, 91, 140, 25, 3, 1], [1, 0, 50, 46, 302, 224, 560, 188, 329, 48, 38, 6, 0], [1, 0, 50, 47, 294, 252, 504, 258, 273, 76, 30, 7, 0], [1, 0, 50, 48, 286, 280, 448, 328, 217, 104, 22, 8, 0], [1, 0, 50, 48, 287, 272, 476, 272, 287, 48, 50, 0, 1], [1, 0, 50, 49, 278, 308, 392, 398, 161, 132, 14, 9, 0], [1, 0, 50, 49, 279, 300, 420, 342, 231, 76, 42, 1, 1], [1, 0, 50, 50, 270, 336, 336, 468, 105, 160, 6, 10, 0], [1, 0, 50, 50, 271, 328, 364, 412, 175, 104, 34, 2, 1], [1, 0, 50, 51, 263, 356, 308, 482, 119, 132, 26, 3, 1], [1, 0, 51, 39, 322, 196, 574, 202, 301, 68, 31, 7, 0], [1, 0, 51, 40, 314, 224, 518, 272, 245, 96, 23, 8, 0], [1, 0, 51, 40, 315, 216, 546, 216, 315, 40, 51, 0, 1], [1, 0, 51, 41, 306, 252, 462, 342, 189, 124, 15, 9, 0], [1, 0, 51, 41, 307, 244, 490, 286, 259, 68, 43, 1, 1], [1, 0, 51, 42, 298, 280, 406, 412, 133, 152, 7, 10, 0], [1, 0, 51, 42, 299, 272, 434, 356, 203, 96, 35, 2, 1], [1, 0, 51, 43, 291, 300, 378, 426, 147, 124, 27, 3, 1], [1, 0, 51, 44, 283, 328, 322, 496, 91, 152, 19, 4, 1], [1, 0, 52, 33, 334, 196, 532, 286, 217, 116, 16, 9, 0], [1, 0, 52, 34, 326, 224, 476, 356, 161, 144, 8, 10, 0], [1, 0, 52, 34, 327, 216, 504, 300, 231, 88, 36, 2, 1], [1, 0, 52, 35, 319, 244, 448, 370, 175, 116, 28, 3, 1], [1, 0, 52, 36, 311, 272, 392, 440, 119, 144, 20, 4, 1], [1, 0, 53, 28, 339, 216, 462, 384, 147, 136, 21, 4, 1], [1, 1, 36, 120, 94, 574, 196, 412, 265, 41, 48, 4, 0], [1, 1, 37, 112, 122, 518, 266, 356, 293, 33, 49, 4, 0], [1, 1, 37, 113, 114, 546, 210, 426, 237, 61, 41, 5, 0], [1, 1, 38, 104, 150, 462, 336, 300, 321, 25, 50, 4, 0], [1, 1, 38, 105, 142, 490, 280, 370, 265, 53, 42, 5, 0], [1, 1, 38, 106, 134, 518, 224, 440, 209, 81, 34, 6, 0], [1, 1, 38, 107, 126, 546, 168, 510, 153, 109, 26, 7, 0], [1, 1, 39, 96, 178, 406, 406, 244, 349, 17, 51, 4, 0], [1, 1, 39, 97, 170, 434, 350, 314, 293, 45, 43, 5, 0], [1, 1, 39, 98, 162, 462, 294, 384, 237, 73, 35, 6, 0], [1, 1, 39, 99, 154, 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