-------
(12, 1664, 7) ALL distance distributions for INTERNAL point
(7, 1664, 7) has 1 possible DDs: {[13, 91, 273, 455, 455, 273, 91, 13]}
(8, 1664, 7) has 13 possible DDs: {[1, 96, 28, 672, 70, 672, 28, 96, 1], [2, 88, 56, 616, 140, 616, 56, 88, 2], [3, 80, 84, 560, 210, 560, 84, 80, 3], [4, 72, 112, 504, 280, 504, 112, 72, 4], [5, 64, 140, 448, 350, 448, 140, 64, 5], [6, 56, 168, 392, 420, 392, 168, 56, 6], [7, 48, 196, 336, 490, 336, 196, 48, 7], [8, 40, 224, 280, 560, 280, 224, 40, 8], [9, 32, 252, 224, 630, 224, 252, 32, 9], [10, 24, 280, 168, 700, 168, 280, 24, 10], [11, 16, 308, 112, 770, 112, 308, 16, 11], [12, 8, 336, 56, 840, 56, 336, 8, 12], [13, 0, 364, 0, 910, 0, 364, 0, 13]}
(9, 1664, 7) has 49 possible DDs: {[1, 44, 80, 308, 434, 308, 392, 44, 53, 0], [1, 45, 72, 336, 378, 378, 336, 72, 45, 1], [1, 46, 64, 364, 322, 448, 280, 100, 37, 2], [1, 47, 56, 392, 266, 518, 224, 128, 29, 3], [1, 48, 48, 420, 210, 588, 168, 156, 21, 4], [1, 49, 40, 448, 154, 658, 112, 184, 13, 5], [1, 50, 32, 476, 98, 728, 56, 212, 5, 6], [2, 36, 108, 252, 504, 252, 420, 36, 54, 0], [2, 37, 100, 280, 448, 322, 364, 64, 46, 1], [2, 38, 92, 308, 392, 392, 308, 92, 38, 2], [2, 39, 84, 336, 336, 462, 252, 120, 30, 3], [2, 40, 76, 364, 280, 532, 196, 148, 22, 4], [2, 41, 68, 392, 224, 602, 140, 176, 14, 5], [2, 42, 60, 420, 168, 672, 84, 204, 6, 6], [3, 28, 136, 196, 574, 196, 448, 28, 55, 0], [3, 29, 128, 224, 518, 266, 392, 56, 47, 1], [3, 30, 120, 252, 462, 336, 336, 84, 39, 2], [3, 31, 112, 280, 406, 406, 280, 112, 31, 3], [3, 32, 104, 308, 350, 476, 224, 140, 23, 4], [3, 33, 96, 336, 294, 546, 168, 168, 15, 5], [3, 34, 88, 364, 238, 616, 112, 196, 7, 6], [4, 20, 164, 140, 644, 140, 476, 20, 56, 0], [4, 21, 156, 168, 588, 210, 420, 48, 48, 1], [4, 22, 148, 196, 532, 280, 364, 76, 40, 2], [4, 23, 140, 224, 476, 350, 308, 104, 32, 3], [4, 24, 132, 252, 420, 420, 252, 132, 24, 4], [4, 25, 124, 280, 364, 490, 196, 160, 16, 5], [4, 26, 116, 308, 308, 560, 140, 188, 8, 6], [4, 27, 108, 336, 252, 630, 84, 216, 0, 7], [5, 12, 192, 84, 714, 84, 504, 12, 57, 0], [5, 13, 184, 112, 658, 154, 448, 40, 49, 1], [5, 14, 176, 140, 602, 224, 392, 68, 41, 2], [5, 15, 168, 168, 546, 294, 336, 96, 33, 3], [5, 16, 160, 196, 490, 364, 280, 124, 25, 4], [5, 17, 152, 224, 434, 434, 224, 152, 17, 5], [5, 18, 144, 252, 378, 504, 168, 180, 9, 6], [5, 19, 136, 280, 322, 574, 112, 208, 1, 7], [6, 4, 220, 28, 784, 28, 532, 4, 58, 0], [6, 5, 212, 56, 728, 98, 476, 32, 50, 1], [6, 6, 204, 84, 672, 168, 420, 60, 42, 2], [6, 7, 196, 112, 616, 238, 364, 88, 34, 3], [6, 8, 188, 140, 560, 308, 308, 116, 26, 4], [6, 9, 180, 168, 504, 378, 252, 144, 18, 5], [6, 10, 172, 196, 448, 448, 196, 172, 10, 6], [6, 11, 164, 224, 392, 518, 140, 200, 2, 7], [7, 0, 216, 84, 630, 252, 336, 108, 27, 4], [7, 1, 208, 112, 574, 322, 280, 136, 19, 5], [7, 2, 200, 140, 518, 392, 224, 164, 11, 6], [7, 3, 192, 168, 462, 462, 168, 192, 3, 7]}
(10, 1664, 7) has 180 possible DDs: {[1, 14, 112, 40, 658, 28, 616, 88, 85, 22, 0], [1, 15, 104, 68, 602, 98, 560, 116, 77, 23, 0], [1, 15, 105, 60, 630, 42, 630, 60, 105, 15, 1], [1, 16, 96, 96, 546, 168, 504, 144, 69, 24, 0], [1, 16, 97, 88, 574, 112, 574, 88, 97, 16, 1], [1, 16, 98, 80, 602, 56, 644, 32, 125, 8, 2], [1, 17, 88, 124, 490, 238, 448, 172, 61, 25, 0], [1, 17, 89, 116, 518, 182, 518, 116, 89, 17, 1], [1, 17, 90, 108, 546, 126, 588, 60, 117, 9, 2], [1, 17, 91, 100, 574, 70, 658, 4, 145, 1, 3], [1, 18, 80, 152, 434, 308, 392, 200, 53, 26, 0], [1, 18, 81, 144, 462, 252, 462, 144, 81, 18, 1], [1, 18, 82, 136, 490, 196, 532, 88, 109, 10, 2], [1, 18, 83, 128, 518, 140, 602, 32, 137, 2, 3], [1, 19, 72, 180, 378, 378, 336, 228, 45, 27, 0], [1, 19, 73, 172, 406, 322, 406, 172, 73, 19, 1], [1, 19, 74, 164, 434, 266, 476, 116, 101, 11, 2], [1, 19, 75, 156, 462, 210, 546, 60, 129, 3, 3], [1, 20, 64, 208, 322, 448, 280, 256, 37, 28, 0], [1, 20, 65, 200, 350, 392, 350, 200, 65, 20, 1], [1, 20, 66, 192, 378, 336, 420, 144, 93, 12, 2], [1, 20, 67, 184, 406, 280, 490, 88, 121, 4, 3], [1, 21, 56, 236, 266, 518, 224, 284, 29, 29, 0], [1, 21, 57, 228, 294, 462, 294, 228, 57, 21, 1], [1, 21, 58, 220, 322, 406, 364, 172, 85, 13, 2], [1, 21, 59, 212, 350, 350, 434, 116, 113, 5, 3], [1, 22, 48, 264, 210, 588, 168, 312, 21, 30, 0], [1, 22, 49, 256, 238, 532, 238, 256, 49, 22, 1], [1, 22, 50, 248, 266, 476, 308, 200, 77, 14, 2], [1, 22, 51, 240, 294, 420, 378, 144, 105, 6, 3], [1, 23, 40, 292, 154, 658, 112, 340, 13, 31, 0], [1, 23, 41, 284, 182, 602, 182, 284, 41, 23, 1], [1, 23, 42, 276, 210, 546, 252, 228, 69, 15, 2], [1, 23, 43, 268, 238, 490, 322, 172, 97, 7, 3], [1, 24, 32, 320, 98, 728, 56, 368, 5, 32, 0], [1, 24, 33, 312, 126, 672, 126, 312, 33, 24, 1], [1, 24, 34, 304, 154, 616, 196, 256, 61, 16, 2], [1, 24, 35, 296, 182, 560, 266, 200, 89, 8, 3], [1, 24, 36, 288, 210, 504, 336, 144, 117, 0, 4], [1, 25, 25, 340, 70, 742, 70, 340, 25, 25, 1], [1, 25, 26, 332, 98, 686, 140, 284, 53, 17, 2], [1, 25, 27, 324, 126, 630, 210, 228, 81, 9, 3], [1, 25, 28, 316, 154, 574, 280, 172, 109, 1, 4], [1, 26, 17, 368, 14, 812, 14, 368, 17, 26, 1], [1, 26, 18, 360, 42, 756, 84, 312, 45, 18, 2], [1, 26, 19, 352, 70, 700, 154, 256, 73, 10, 3], [1, 26, 20, 344, 98, 644, 224, 200, 101, 2, 4], [1, 27, 11, 380, 14, 770, 98, 284, 65, 11, 3], [1, 27, 12, 372, 42, 714, 168, 228, 93, 3, 4], [2, 7, 132, 12, 672, 42, 588, 108, 78, 23, 0], [2, 8, 124, 40, 616, 112, 532, 136, 70, 24, 0], [2, 8, 125, 32, 644, 56, 602, 80, 98, 16, 1], [2, 8, 126, 24, 672, 0, 672, 24, 126, 8, 2], [2, 9, 116, 68, 560, 182, 476, 164, 62, 25, 0], [2, 9, 117, 60, 588, 126, 546, 108, 90, 17, 1], [2, 9, 118, 52, 616, 70, 616, 52, 118, 9, 2], [2, 10, 108, 96, 504, 252, 420, 192, 54, 26, 0], [2, 10, 109, 88, 532, 196, 490, 136, 82, 18, 1], [2, 10, 110, 80, 560, 140, 560, 80, 110, 10, 2], [2, 10, 111, 72, 588, 84, 630, 24, 138, 2, 3], [2, 11, 100, 124, 448, 322, 364, 220, 46, 27, 0], [2, 11, 101, 116, 476, 266, 434, 164, 74, 19, 1], [2, 11, 102, 108, 504, 210, 504, 108, 102, 11, 2], [2, 11, 103, 100, 532, 154, 574, 52, 130, 3, 3], [2, 12, 92, 152, 392, 392, 308, 248, 38, 28, 0], [2, 12, 93, 144, 420, 336, 378, 192, 66, 20, 1], [2, 12, 94, 136, 448, 280, 448, 136, 94, 12, 2], [2, 12, 95, 128, 476, 224, 518, 80, 122, 4, 3], [2, 13, 84, 180, 336, 462, 252, 276, 30, 29, 0], [2, 13, 85, 172, 364, 406, 322, 220, 58, 21, 1], [2, 13, 86, 164, 392, 350, 392, 164, 86, 13, 2], [2, 13, 87, 156, 420, 294, 462, 108, 114, 5, 3], [2, 14, 76, 208, 280, 532, 196, 304, 22, 30, 0], [2, 14, 77, 200, 308, 476, 266, 248, 50, 22, 1], [2, 14, 78, 192, 336, 420, 336, 192, 78, 14, 2], [2, 14, 79, 184, 364, 364, 406, 136, 106, 6, 3], [2, 15, 68, 236, 224, 602, 140, 332, 14, 31, 0], [2, 15, 69, 228, 252, 546, 210, 276, 42, 23, 1], [2, 15, 70, 220, 280, 490, 280, 220, 70, 15, 2], [2, 15, 71, 212, 308, 434, 350, 164, 98, 7, 3], [2, 16, 60, 264, 168, 672, 84, 360, 6, 32, 0], [2, 16, 61, 256, 196, 616, 154, 304, 34, 24, 1], [2, 16, 62, 248, 224, 560, 224, 248, 62, 16, 2], [2, 16, 63, 240, 252, 504, 294, 192, 90, 8, 3], [2, 16, 64, 232, 280, 448, 364, 136, 118, 0, 4], [2, 17, 53, 284, 140, 686, 98, 332, 26, 25, 1], [2, 17, 54, 276, 168, 630, 168, 276, 54, 17, 2], [2, 17, 55, 268, 196, 574, 238, 220, 82, 9, 3], [2, 17, 56, 260, 224, 518, 308, 164, 110, 1, 4], [2, 18, 45, 312, 84, 756, 42, 360, 18, 26, 1], [2, 18, 46, 304, 112, 700, 112, 304, 46, 18, 2], [2, 18, 47, 296, 140, 644, 182, 248, 74, 10, 3], [2, 18, 48, 288, 168, 588, 252, 192, 102, 2, 4], [2, 19, 38, 332, 56, 770, 56, 332, 38, 19, 2], [2, 19, 39, 324, 84, 714, 126, 276, 66, 11, 3], [2, 19, 40, 316, 112, 658, 196, 220, 94, 3, 4], [2, 20, 30, 360, 0, 840, 0, 360, 30, 20, 2], [2, 20, 31, 352, 28, 784, 70, 304, 58, 12, 3], [2, 20, 32, 344, 56, 728, 140, 248, 86, 4, 4], [2, 21, 24, 372, 0, 798, 84, 276, 78, 5, 4], [3, 1, 144, 12, 630, 126, 504, 156, 63, 25, 0], [3, 1, 145, 4, 658, 70, 574, 100, 91, 17, 1], [3, 2, 136, 40, 574, 196, 448, 184, 55, 26, 0], [3, 2, 137, 32, 602, 140, 518, 128, 83, 18, 1], [3, 2, 138, 24, 630, 84, 588, 72, 111, 10, 2], [3, 2, 139, 16, 658, 28, 658, 16, 139, 2, 3], [3, 3, 128, 68, 518, 266, 392, 212, 47, 27, 0], [3, 3, 129, 60, 546, 210, 462, 156, 75, 19, 1], [3, 3, 130, 52, 574, 154, 532, 100, 103, 11, 2], [3, 3, 131, 44, 602, 98, 602, 44, 131, 3, 3], [3, 4, 120, 96, 462, 336, 336, 240, 39, 28, 0], [3, 4, 121, 88, 490, 280, 406, 184, 67, 20, 1], [3, 4, 122, 80, 518, 224, 476, 128, 95, 12, 2], [3, 4, 123, 72, 546, 168, 546, 72, 123, 4, 3], [3, 5, 112, 124, 406, 406, 280, 268, 31, 29, 0], [3, 5, 113, 116, 434, 350, 350, 212, 59, 21, 1], [3, 5, 114, 108, 462, 294, 420, 156, 87, 13, 2], [3, 5, 115, 100, 490, 238, 490, 100, 115, 5, 3], [3, 6, 104, 152, 350, 476, 224, 296, 23, 30, 0], [3, 6, 105, 144, 378, 420, 294, 240, 51, 22, 1], [3, 6, 106, 136, 406, 364, 364, 184, 79, 14, 2], [3, 6, 107, 128, 434, 308, 434, 128, 107, 6, 3], [3, 7, 96, 180, 294, 546, 168, 324, 15, 31, 0], [3, 7, 97, 172, 322, 490, 238, 268, 43, 23, 1], [3, 7, 98, 164, 350, 434, 308, 212, 71, 15, 2], [3, 7, 99, 156, 378, 378, 378, 156, 99, 7, 3], [3, 8, 88, 208, 238, 616, 112, 352, 7, 32, 0], [3, 8, 89, 200, 266, 560, 182, 296, 35, 24, 1], [3, 8, 90, 192, 294, 504, 252, 240, 63, 16, 2], [3, 8, 91, 184, 322, 448, 322, 184, 91, 8, 3], [3, 8, 92, 176, 350, 392, 392, 128, 119, 0, 4], [3, 9, 81, 228, 210, 630, 126, 324, 27, 25, 1], [3, 9, 82, 220, 238, 574, 196, 268, 55, 17, 2], [3, 9, 83, 212, 266, 518, 266, 212, 83, 9, 3], [3, 9, 84, 204, 294, 462, 336, 156, 111, 1, 4], [3, 10, 73, 256, 154, 700, 70, 352, 19, 26, 1], [3, 10, 74, 248, 182, 644, 140, 296, 47, 18, 2], [3, 10, 75, 240, 210, 588, 210, 240, 75, 10, 3], [3, 10, 76, 232, 238, 532, 280, 184, 103, 2, 4], [3, 11, 65, 284, 98, 770, 14, 380, 11, 27, 1], [3, 11, 66, 276, 126, 714, 84, 324, 39, 19, 2], [3, 11, 67, 268, 154, 658, 154, 268, 67, 11, 3], [3, 11, 68, 260, 182, 602, 224, 212, 95, 3, 4], [3, 12, 58, 304, 70, 784, 28, 352, 31, 20, 2], [3, 12, 59, 296, 98, 728, 98, 296, 59, 12, 3], [3, 12, 60, 288, 126, 672, 168, 240, 87, 4, 4], [3, 13, 51, 324, 42, 798, 42, 324, 51, 13, 3], [3, 13, 52, 316, 70, 742, 112, 268, 79, 5, 4], [3, 14, 44, 344, 14, 812, 56, 296, 71, 6, 4], [4, 0, 116, 152, 308, 560, 140, 344, 8, 32, 0], [4, 0, 117, 144, 336, 504, 210, 288, 36, 24, 1], [4, 0, 118, 136, 364, 448, 280, 232, 64, 16, 2], [4, 0, 119, 128, 392, 392, 350, 176, 92, 8, 3], [4, 0, 120, 120, 420, 336, 420, 120, 120, 0, 4], [4, 1, 108, 180, 252, 630, 84, 372, 0, 33, 0], [4, 1, 109, 172, 280, 574, 154, 316, 28, 25, 1], [4, 1, 110, 164, 308, 518, 224, 260, 56, 17, 2], [4, 1, 111, 156, 336, 462, 294, 204, 84, 9, 3], [4, 1, 112, 148, 364, 406, 364, 148, 112, 1, 4], [4, 2, 101, 200, 224, 644, 98, 344, 20, 26, 1], [4, 2, 102, 192, 252, 588, 168, 288, 48, 18, 2], [4, 2, 103, 184, 280, 532, 238, 232, 76, 10, 3], [4, 2, 104, 176, 308, 476, 308, 176, 104, 2, 4], [4, 3, 93, 228, 168, 714, 42, 372, 12, 27, 1], [4, 3, 94, 220, 196, 658, 112, 316, 40, 19, 2], [4, 3, 95, 212, 224, 602, 182, 260, 68, 11, 3], [4, 3, 96, 204, 252, 546, 252, 204, 96, 3, 4], [4, 4, 86, 248, 140, 728, 56, 344, 32, 20, 2], [4, 4, 87, 240, 168, 672, 126, 288, 60, 12, 3], [4, 4, 88, 232, 196, 616, 196, 232, 88, 4, 4], [4, 5, 78, 276, 84, 798, 0, 372, 24, 21, 2], [4, 5, 79, 268, 112, 742, 70, 316, 52, 13, 3], [4, 5, 80, 260, 140, 686, 140, 260, 80, 5, 4], [4, 6, 71, 296, 56, 812, 14, 344, 44, 14, 3], [4, 6, 72, 288, 84, 756, 84, 288, 72, 6, 4], [4, 7, 64, 316, 28, 826, 28, 316, 64, 7, 4], [4, 8, 57, 336, 0, 840, 42, 288, 84, 0, 5], [5, 0, 84, 288, 42, 840, 0, 336, 57, 8, 4], [5, 0, 85, 280, 70, 784, 70, 280, 85, 0, 5], [5, 1, 77, 308, 14, 854, 14, 308, 77, 1, 5]}
(11, 1664, 7) has 532 possible DDs: {[1, 1, 94, 2, 440, 308, 266, 446, 23, 75, 8, 0], [1, 2, 86, 30, 384, 378, 210, 474, 15, 76, 8, 0], [1, 2, 87, 22, 412, 322, 280, 418, 43, 68, 9, 0], [1, 2, 88, 14, 440, 266, 350, 362, 71, 60, 10, 0], [1, 2, 88, 15, 432, 294, 294, 432, 15, 88, 2, 1], [1, 2, 89, 6, 468, 210, 420, 306, 99, 52, 11, 0], [1, 2, 89, 7, 460, 238, 364, 376, 43, 80, 3, 1], [1, 3, 78, 58, 328, 448, 154, 502, 7, 77, 8, 0], [1, 3, 79, 50, 356, 392, 224, 446, 35, 69, 9, 0], [1, 3, 80, 42, 384, 336, 294, 390, 63, 61, 10, 0], [1, 3, 80, 43, 376, 364, 238, 460, 7, 89, 2, 1], [1, 3, 81, 34, 412, 280, 364, 334, 91, 53, 11, 0], [1, 3, 81, 35, 404, 308, 308, 404, 35, 81, 3, 1], [1, 3, 82, 26, 440, 224, 434, 278, 119, 45, 12, 0], [1, 3, 82, 27, 432, 252, 378, 348, 63, 73, 4, 1], [1, 3, 83, 18, 468, 168, 504, 222, 147, 37, 13, 0], [1, 3, 83, 19, 460, 196, 448, 292, 91, 65, 5, 1], [1, 3, 84, 10, 496, 112, 574, 166, 175, 29, 14, 0], [1, 3, 84, 11, 488, 140, 518, 236, 119, 57, 6, 1], [1, 3, 85, 2, 524, 56, 644, 110, 203, 21, 15, 0], [1, 3, 85, 3, 516, 84, 588, 180, 147, 49, 7, 1], [1, 4, 71, 78, 300, 462, 168, 474, 27, 70, 9, 0], [1, 4, 72, 70, 328, 406, 238, 418, 55, 62, 10, 0], [1, 4, 73, 62, 356, 350, 308, 362, 83, 54, 11, 0], [1, 4, 73, 63, 348, 378, 252, 432, 27, 82, 3, 1], [1, 4, 74, 54, 384, 294, 378, 306, 111, 46, 12, 0], [1, 4, 74, 55, 376, 322, 322, 376, 55, 74, 4, 1], [1, 4, 75, 46, 412, 238, 448, 250, 139, 38, 13, 0], [1, 4, 75, 47, 404, 266, 392, 320, 83, 66, 5, 1], [1, 4, 76, 38, 440, 182, 518, 194, 167, 30, 14, 0], [1, 4, 76, 39, 432, 210, 462, 264, 111, 58, 6, 1], [1, 4, 77, 30, 468, 126, 588, 138, 195, 22, 15, 0], [1, 4, 77, 31, 460, 154, 532, 208, 139, 50, 7, 1], [1, 4, 78, 22, 496, 70, 658, 82, 223, 14, 16, 0], [1, 4, 78, 23, 488, 98, 602, 152, 167, 42, 8, 1], [1, 4, 78, 24, 480, 126, 546, 222, 111, 70, 0, 2], [1, 4, 79, 14, 524, 14, 728, 26, 251, 6, 17, 0], [1, 4, 79, 15, 516, 42, 672, 96, 195, 34, 9, 1], [1, 4, 79, 16, 508, 70, 616, 166, 139, 62, 1, 2], [1, 4, 80, 8, 536, 14, 686, 110, 167, 54, 2, 2], [1, 5, 63, 106, 244, 532, 112, 502, 19, 71, 9, 0], [1, 5, 64, 98, 272, 476, 182, 446, 47, 63, 10, 0], [1, 5, 65, 90, 300, 420, 252, 390, 75, 55, 11, 0], [1, 5, 65, 91, 292, 448, 196, 460, 19, 83, 3, 1], [1, 5, 66, 82, 328, 364, 322, 334, 103, 47, 12, 0], [1, 5, 66, 83, 320, 392, 266, 404, 47, 75, 4, 1], [1, 5, 67, 74, 356, 308, 392, 278, 131, 39, 13, 0], [1, 5, 67, 75, 348, 336, 336, 348, 75, 67, 5, 1], [1, 5, 68, 66, 384, 252, 462, 222, 159, 31, 14, 0], [1, 5, 68, 67, 376, 280, 406, 292, 103, 59, 6, 1], [1, 5, 69, 58, 412, 196, 532, 166, 187, 23, 15, 0], [1, 5, 69, 59, 404, 224, 476, 236, 131, 51, 7, 1], [1, 5, 70, 50, 440, 140, 602, 110, 215, 15, 16, 0], [1, 5, 70, 51, 432, 168, 546, 180, 159, 43, 8, 1], [1, 5, 70, 52, 424, 196, 490, 250, 103, 71, 0, 2], [1, 5, 71, 42, 468, 84, 672, 54, 243, 7, 17, 0], [1, 5, 71, 43, 460, 112, 616, 124, 187, 35, 9, 1], [1, 5, 71, 44, 452, 140, 560, 194, 131, 63, 1, 2], [1, 5, 72, 35, 488, 56, 686, 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54, 714, 42, 480, 48, 66, 6, 1], [2, 4, 41, 198, 90, 630, 168, 354, 132, 30, 15, 0], [2, 4, 41, 199, 82, 658, 112, 424, 76, 58, 7, 1], [2, 4, 42, 190, 118, 574, 238, 298, 160, 22, 16, 0], [2, 4, 42, 191, 110, 602, 182, 368, 104, 50, 8, 1], [2, 4, 42, 192, 102, 630, 126, 438, 48, 78, 0, 2], [2, 4, 43, 182, 146, 518, 308, 242, 188, 14, 17, 0], [2, 4, 43, 183, 138, 546, 252, 312, 132, 42, 9, 1], [2, 4, 43, 184, 130, 574, 196, 382, 76, 70, 1, 2], [2, 4, 44, 174, 174, 462, 378, 186, 216, 6, 18, 0], [2, 4, 44, 175, 166, 490, 322, 256, 160, 34, 10, 1], [2, 4, 44, 176, 158, 518, 266, 326, 104, 62, 2, 2], [2, 4, 45, 167, 194, 434, 392, 200, 188, 26, 11, 1], [2, 4, 45, 168, 186, 462, 336, 270, 132, 54, 3, 2], [2, 4, 46, 159, 222, 378, 462, 144, 216, 18, 12, 1], [2, 4, 46, 160, 214, 406, 406, 214, 160, 46, 4, 2], [2, 4, 47, 151, 250, 322, 532, 88, 244, 10, 13, 1], [2, 4, 47, 152, 242, 350, 476, 158, 188, 38, 5, 2], [2, 4, 48, 143, 278, 266, 602, 32, 272, 2, 14, 1], [2, 4, 48, 144, 270, 294, 546, 102, 216, 30, 6, 2], [2, 4, 49, 136, 298, 238, 616, 46, 244, 22, 7, 2], [2, 4, 50, 129, 318, 210, 630, 60, 216, 42, 0, 3], [2, 4, 51, 121, 346, 154, 700, 4, 244, 34, 1, 3], [2, 5, 32, 234, 6, 756, 42, 438, 96, 39, 14, 0], [2, 5, 33, 226, 34, 700, 112, 382, 124, 31, 15, 0], [2, 5, 33, 227, 26, 728, 56, 452, 68, 59, 7, 1], [2, 5, 34, 218, 62, 644, 182, 326, 152, 23, 16, 0], [2, 5, 34, 219, 54, 672, 126, 396, 96, 51, 8, 1], [2, 5, 34, 220, 46, 700, 70, 466, 40, 79, 0, 2], [2, 5, 35, 210, 90, 588, 252, 270, 180, 15, 17, 0], [2, 5, 35, 211, 82, 616, 196, 340, 124, 43, 9, 1], [2, 5, 35, 212, 74, 644, 140, 410, 68, 71, 1, 2], [2, 5, 36, 202, 118, 532, 322, 214, 208, 7, 18, 0], [2, 5, 36, 203, 110, 560, 266, 284, 152, 35, 10, 1], [2, 5, 36, 204, 102, 588, 210, 354, 96, 63, 2, 2], [2, 5, 37, 195, 138, 504, 336, 228, 180, 27, 11, 1], [2, 5, 37, 196, 130, 532, 280, 298, 124, 55, 3, 2], [2, 5, 38, 187, 166, 448, 406, 172, 208, 19, 12, 1], [2, 5, 38, 188, 158, 476, 350, 242, 152, 47, 4, 2], [2, 5, 39, 179, 194, 392, 476, 116, 236, 11, 13, 1], [2, 5, 39, 180, 186, 420, 420, 186, 180, 39, 5, 2], [2, 5, 40, 171, 222, 336, 546, 60, 264, 3, 14, 1], [2, 5, 40, 172, 214, 364, 490, 130, 208, 31, 6, 2], [2, 5, 41, 164, 242, 308, 560, 74, 236, 23, 7, 2], [2, 5, 42, 156, 270, 252, 630, 18, 264, 15, 8, 2], [2, 5, 42, 157, 262, 280, 574, 88, 208, 43, 0, 3], [2, 5, 43, 149, 290, 224, 644, 32, 236, 35, 1, 3], [2, 6, 26, 246, 6, 714, 126, 354, 144, 24, 16, 0], [2, 6, 27, 238, 34, 658, 196, 298, 172, 16, 17, 0], [2, 6, 27, 239, 26, 686, 140, 368, 116, 44, 9, 1], [2, 6, 27, 240, 18, 714, 84, 438, 60, 72, 1, 2], [2, 6, 28, 230, 62, 602, 266, 242, 200, 8, 18, 0], [2, 6, 28, 231, 54, 630, 210, 312, 144, 36, 10, 1], [2, 6, 28, 232, 46, 658, 154, 382, 88, 64, 2, 2], [2, 6, 29, 222, 90, 546, 336, 186, 228, 0, 19, 0], [2, 6, 29, 223, 82, 574, 280, 256, 172, 28, 11, 1], [2, 6, 29, 224, 74, 602, 224, 326, 116, 56, 3, 2], [2, 6, 30, 215, 110, 518, 350, 200, 200, 20, 12, 1], [2, 6, 30, 216, 102, 546, 294, 270, 144, 48, 4, 2], [2, 6, 31, 207, 138, 462, 420, 144, 228, 12, 13, 1], [2, 6, 31, 208, 130, 490, 364, 214, 172, 40, 5, 2], [2, 6, 32, 199, 166, 406, 490, 88, 256, 4, 14, 1], [2, 6, 32, 200, 158, 434, 434, 158, 200, 32, 6, 2], [2, 6, 33, 192, 186, 378, 504, 102, 228, 24, 7, 2], [2, 6, 34, 184, 214, 322, 574, 46, 256, 16, 8, 2], [2, 6, 34, 185, 206, 350, 518, 116, 200, 44, 0, 3], [2, 6, 35, 177, 234, 294, 588, 60, 228, 36, 1, 3], [2, 6, 36, 169, 262, 238, 658, 4, 256, 28, 2, 3], [2, 7, 20, 258, 6, 672, 210, 270, 192, 9, 18, 0], [2, 7, 21, 250, 34, 616, 280, 214, 220, 1, 19, 0], [2, 7, 21, 251, 26, 644, 224, 284, 164, 29, 11, 1], [2, 7, 21, 252, 18, 672, 168, 354, 108, 57, 3, 2], [2, 7, 22, 243, 54, 588, 294, 228, 192, 21, 12, 1], [2, 7, 22, 244, 46, 616, 238, 298, 136, 49, 4, 2], [2, 7, 23, 235, 82, 532, 364, 172, 220, 13, 13, 1], [2, 7, 23, 236, 74, 560, 308, 242, 164, 41, 5, 2], [2, 7, 24, 227, 110, 476, 434, 116, 248, 5, 14, 1], [2, 7, 24, 228, 102, 504, 378, 186, 192, 33, 6, 2], [2, 7, 25, 220, 130, 448, 448, 130, 220, 25, 7, 2], [2, 7, 26, 212, 158, 392, 518, 74, 248, 17, 8, 2], [2, 7, 26, 213, 150, 420, 462, 144, 192, 45, 0, 3], [2, 7, 27, 204, 186, 336, 588, 18, 276, 9, 9, 2], [2, 7, 27, 205, 178, 364, 532, 88, 220, 37, 1, 3], [2, 7, 28, 197, 206, 308, 602, 32, 248, 29, 2, 3], [2, 8, 15, 263, 26, 602, 308, 200, 212, 14, 13, 1], [2, 8, 15, 264, 18, 630, 252, 270, 156, 42, 5, 2], [2, 8, 16, 255, 54, 546, 378, 144, 240, 6, 14, 1], [2, 8, 16, 256, 46, 574, 322, 214, 184, 34, 6, 2], [2, 8, 17, 248, 74, 518, 392, 158, 212, 26, 7, 2], [2, 8, 18, 240, 102, 462, 462, 102, 240, 18, 8, 2], [2, 8, 18, 241, 94, 490, 406, 172, 184, 46, 0, 3], [2, 8, 19, 232, 130, 406, 532, 46, 268, 10, 9, 2], [2, 8, 19, 233, 122, 434, 476, 116, 212, 38, 1, 3], [2, 8, 20, 225, 150, 378, 546, 60, 240, 30, 2, 3], [2, 8, 21, 217, 178, 322, 616, 4, 268, 22, 3, 3], [2, 9, 9, 276, 18, 588, 336, 186, 204, 27, 7, 2], [2, 9, 10, 268, 46, 532, 406, 130, 232, 19, 8, 2], [2, 9, 10, 269, 38, 560, 350, 200, 176, 47, 0, 3], [2, 9, 11, 260, 74, 476, 476, 74, 260, 11, 9, 2], [2, 9, 11, 261, 66, 504, 420, 144, 204, 39, 1, 3], [2, 9, 12, 252, 102, 420, 546, 18, 288, 3, 10, 2], [2, 9, 12, 253, 94, 448, 490, 88, 232, 31, 2, 3], [2, 9, 13, 245, 122, 392, 560, 32, 260, 23, 3, 3], [2, 10, 3, 288, 18, 546, 420, 102, 252, 12, 9, 2], [2, 10, 3, 289, 10, 574, 364, 172, 196, 40, 1, 3], [2, 10, 4, 280, 46, 490, 490, 46, 280, 4, 10, 2], [2, 10, 4, 281, 38, 518, 434, 116, 224, 32, 2, 3], [2, 10, 5, 273, 66, 462, 504, 60, 252, 24, 3, 3], [2, 10, 6, 265, 94, 406, 574, 4, 280, 16, 4, 3], [3, 0, 40, 230, 20, 686, 182, 290, 185, 10, 18, 0], [3, 0, 40, 231, 12, 714, 126, 360, 129, 38, 10, 1], [3, 0, 40, 232, 4, 742, 70, 430, 73, 66, 2, 2], [3, 0, 41, 222, 48, 630, 252, 234, 213, 2, 19, 0], [3, 0, 41, 223, 40, 658, 196, 304, 157, 30, 11, 1], [3, 0, 41, 224, 32, 686, 140, 374, 101, 58, 3, 2], [3, 0, 42, 215, 68, 602, 266, 248, 185, 22, 12, 1], [3, 0, 42, 216, 60, 630, 210, 318, 129, 50, 4, 2], [3, 0, 43, 207, 96, 546, 336, 192, 213, 14, 13, 1], [3, 0, 43, 208, 88, 574, 280, 262, 157, 42, 5, 2], [3, 0, 44, 199, 124, 490, 406, 136, 241, 6, 14, 1], [3, 0, 44, 200, 116, 518, 350, 206, 185, 34, 6, 2], [3, 0, 45, 192, 144, 462, 420, 150, 213, 26, 7, 2], [3, 0, 46, 184, 172, 406, 490, 94, 241, 18, 8, 2], [3, 0, 46, 185, 164, 434, 434, 164, 185, 46, 0, 3], [3, 0, 47, 176, 200, 350, 560, 38, 269, 10, 9, 2], [3, 0, 47, 177, 192, 378, 504, 108, 213, 38, 1, 3], [3, 0, 48, 169, 220, 322, 574, 52, 241, 30, 2, 3], [3, 1, 34, 243, 12, 672, 210, 276, 177, 23, 12, 1], [3, 1, 34, 244, 4, 700, 154, 346, 121, 51, 4, 2], [3, 1, 35, 235, 40, 616, 280, 220, 205, 15, 13, 1], [3, 1, 35, 236, 32, 644, 224, 290, 149, 43, 5, 2], [3, 1, 36, 227, 68, 560, 350, 164, 233, 7, 14, 1], [3, 1, 36, 228, 60, 588, 294, 234, 177, 35, 6, 2], [3, 1, 37, 220, 88, 532, 364, 178, 205, 27, 7, 2], [3, 1, 38, 212, 116, 476, 434, 122, 233, 19, 8, 2], [3, 1, 38, 213, 108, 504, 378, 192, 177, 47, 0, 3], [3, 1, 39, 204, 144, 420, 504, 66, 261, 11, 9, 2], [3, 1, 39, 205, 136, 448, 448, 136, 205, 39, 1, 3], [3, 1, 40, 196, 172, 364, 574, 10, 289, 3, 10, 2], [3, 1, 40, 197, 164, 392, 518, 80, 233, 31, 2, 3], [3, 1, 41, 189, 192, 336, 588, 24, 261, 23, 3, 3], [3, 2, 28, 255, 12, 630, 294, 192, 225, 8, 14, 1], [3, 2, 28, 256, 4, 658, 238, 262, 169, 36, 6, 2], [3, 2, 29, 247, 40, 574, 364, 136, 253, 0, 15, 1], [3, 2, 29, 248, 32, 602, 308, 206, 197, 28, 7, 2], [3, 2, 30, 240, 60, 546, 378, 150, 225, 20, 8, 2], [3, 2, 30, 241, 52, 574, 322, 220, 169, 48, 0, 3], [3, 2, 31, 232, 88, 490, 448, 94, 253, 12, 9, 2], [3, 2, 31, 233, 80, 518, 392, 164, 197, 40, 1, 3], [3, 2, 32, 224, 116, 434, 518, 38, 281, 4, 10, 2], [3, 2, 32, 225, 108, 462, 462, 108, 225, 32, 2, 3], [3, 2, 33, 217, 136, 406, 532, 52, 253, 24, 3, 3], [3, 3, 22, 268, 4, 616, 322, 178, 217, 21, 8, 2], [3, 3, 23, 260, 32, 560, 392, 122, 245, 13, 9, 2], [3, 3, 23, 261, 24, 588, 336, 192, 189, 41, 1, 3], [3, 3, 24, 252, 60, 504, 462, 66, 273, 5, 10, 2], [3, 3, 24, 253, 52, 532, 406, 136, 217, 33, 2, 3], [3, 3, 25, 245, 80, 476, 476, 80, 245, 25, 3, 3], [3, 3, 26, 237, 108, 420, 546, 24, 273, 17, 4, 3], [3, 4, 16, 280, 4, 574, 406, 94, 265, 6, 10, 2], [3, 4, 17, 273, 24, 546, 420, 108, 237, 26, 3, 3], [3, 4, 18, 265, 52, 490, 490, 52, 265, 18, 4, 3], [3, 5, 11, 285, 24, 504, 504, 24, 285, 11, 5, 3], [4, 0, 18, 290, 2, 518, 518, 2, 290, 18, 0, 4]}
(12, 1664, 7) has 1401 possible DDs: {[1, 0, 34, 130, 6, 696, 0, 492, 225, 24, 54, 2, 0], [1, 0, 35, 122, 34, 640, 70, 436, 253, 16, 55, 2, 0], [1, 0, 35, 123, 26, 668, 14, 506, 197, 44, 47, 3, 0], [1, 0, 36, 114, 62, 584, 140, 380, 281, 8, 56, 2, 0], [1, 0, 36, 115, 54, 612, 84, 450, 225, 36, 48, 3, 0], [1, 0, 36, 116, 46, 640, 28, 520, 169, 64, 40, 4, 0], [1, 0, 37, 106, 90, 528, 210, 324, 309, 0, 57, 2, 0], [1, 0, 37, 107, 82, 556, 154, 394, 253, 28, 49, 3, 0], [1, 0, 37, 108, 74, 584, 98, 464, 197, 56, 41, 4, 0], [1, 0, 37, 109, 66, 612, 42, 534, 141, 84, 33, 5, 0], [1, 0, 38, 99, 110, 500, 224, 338, 281, 20, 50, 3, 0], [1, 0, 38, 100, 102, 528, 168, 408, 225, 48, 42, 4, 0], [1, 0, 38, 101, 94, 556, 112, 478, 169, 76, 34, 5, 0], [1, 0, 38, 102, 86, 584, 56, 548, 113, 104, 26, 6, 0], [1, 0, 38, 103, 78, 612, 0, 618, 57, 132, 18, 7, 0], [1, 0, 39, 91, 138, 444, 294, 282, 309, 12, 51, 3, 0], [1, 0, 39, 92, 130, 472, 238, 352, 253, 40, 43, 4, 0], [1, 0, 39, 93, 122, 500, 182, 422, 197, 68, 35, 5, 0], [1, 0, 39, 94, 114, 528, 126, 492, 141, 96, 27, 6, 0], [1, 0, 39, 95, 106, 556, 70, 562, 85, 124, 19, 7, 0], [1, 0, 39, 96, 98, 584, 14, 632, 29, 152, 11, 8, 0], [1, 0, 39, 96, 99, 576, 42, 576, 99, 96, 39, 0, 1], [1, 0, 40, 83, 166, 388, 364, 226, 337, 4, 52, 3, 0], [1, 0, 40, 84, 158, 416, 308, 296, 281, 32, 44, 4, 0], [1, 0, 40, 85, 150, 444, 252, 366, 225, 60, 36, 5, 0], [1, 0, 40, 86, 142, 472, 196, 436, 169, 88, 28, 6, 0], [1, 0, 40, 87, 134, 500, 140, 506, 113, 116, 20, 7, 0], [1, 0, 40, 88, 126, 528, 84, 576, 57, 144, 12, 8, 0], [1, 0, 40, 88, 127, 520, 112, 520, 127, 88, 40, 0, 1], [1, 0, 40, 89, 118, 556, 28, 646, 1, 172, 4, 9, 0], [1, 0, 40, 89, 119, 548, 56, 590, 71, 116, 32, 1, 1], [1, 0, 40, 90, 111, 576, 0, 660, 15, 144, 24, 2, 1], [1, 0, 41, 76, 186, 360, 378, 240, 309, 24, 45, 4, 0], [1, 0, 41, 77, 178, 388, 322, 310, 253, 52, 37, 5, 0], [1, 0, 41, 78, 170, 416, 266, 380, 197, 80, 29, 6, 0], [1, 0, 41, 79, 162, 444, 210, 450, 141, 108, 21, 7, 0], [1, 0, 41, 80, 154, 472, 154, 520, 85, 136, 13, 8, 0], [1, 0, 41, 80, 155, 464, 182, 464, 155, 80, 41, 0, 1], [1, 0, 41, 81, 146, 500, 98, 590, 29, 164, 5, 9, 0], [1, 0, 41, 81, 147, 492, 126, 534, 99, 108, 33, 1, 1], [1, 0, 41, 82, 139, 520, 70, 604, 43, 136, 25, 2, 1], [1, 0, 42, 68, 214, 304, 448, 184, 337, 16, 46, 4, 0], [1, 0, 42, 69, 206, 332, 392, 254, 281, 44, 38, 5, 0], [1, 0, 42, 70, 198, 360, 336, 324, 225, 72, 30, 6, 0], [1, 0, 42, 71, 190, 388, 280, 394, 169, 100, 22, 7, 0], [1, 0, 42, 72, 182, 416, 224, 464, 113, 128, 14, 8, 0], [1, 0, 42, 72, 183, 408, 252, 408, 183, 72, 42, 0, 1], [1, 0, 42, 73, 174, 444, 168, 534, 57, 156, 6, 9, 0], [1, 0, 42, 73, 175, 436, 196, 478, 127, 100, 34, 1, 1], [1, 0, 42, 74, 167, 464, 140, 548, 71, 128, 26, 2, 1], [1, 0, 42, 75, 159, 492, 84, 618, 15, 156, 18, 3, 1], [1, 0, 43, 60, 242, 248, 518, 128, 365, 8, 47, 4, 0], [1, 0, 43, 61, 234, 276, 462, 198, 309, 36, 39, 5, 0], [1, 0, 43, 62, 226, 304, 406, 268, 253, 64, 31, 6, 0], [1, 0, 43, 63, 218, 332, 350, 338, 197, 92, 23, 7, 0], [1, 0, 43, 64, 210, 360, 294, 408, 141, 120, 15, 8, 0], [1, 0, 43, 64, 211, 352, 322, 352, 211, 64, 43, 0, 1], [1, 0, 43, 65, 202, 388, 238, 478, 85, 148, 7, 9, 0], [1, 0, 43, 65, 203, 380, 266, 422, 155, 92, 35, 1, 1], [1, 0, 43, 66, 195, 408, 210, 492, 99, 120, 27, 2, 1], [1, 0, 43, 67, 187, 436, 154, 562, 43, 148, 19, 3, 1], [1, 0, 44, 52, 270, 192, 588, 72, 393, 0, 48, 4, 0], [1, 0, 44, 53, 262, 220, 532, 142, 337, 28, 40, 5, 0], [1, 0, 44, 54, 254, 248, 476, 212, 281, 56, 32, 6, 0], [1, 0, 44, 55, 246, 276, 420, 282, 225, 84, 24, 7, 0], [1, 0, 44, 56, 238, 304, 364, 352, 169, 112, 16, 8, 0], [1, 0, 44, 56, 239, 296, 392, 296, 239, 56, 44, 0, 1], [1, 0, 44, 57, 230, 332, 308, 422, 113, 140, 8, 9, 0], [1, 0, 44, 57, 231, 324, 336, 366, 183, 84, 36, 1, 1], [1, 0, 44, 58, 222, 360, 252, 492, 57, 168, 0, 10, 0], [1, 0, 44, 58, 223, 352, 280, 436, 127, 112, 28, 2, 1], [1, 0, 44, 59, 215, 380, 224, 506, 71, 140, 20, 3, 1], [1, 0, 44, 60, 207, 408, 168, 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