-------
(12, 2048, 7) ALL distance distributions for EXTERNAL point
(7, 2048, 7) has 0 possible DDs: {}
(8, 2048, 7) has 1 possible DDs: {[0, 128, 0, 896, 0, 896, 0, 128, 0]}
(9, 2048, 7) has 9 possible DDs: {[0, 64, 64, 448, 448, 448, 448, 64, 64, 0], [0, 65, 56, 476, 392, 518, 392, 92, 56, 1], [0, 66, 48, 504, 336, 588, 336, 120, 48, 2], [0, 67, 40, 532, 280, 658, 280, 148, 40, 3], [0, 68, 32, 560, 224, 728, 224, 176, 32, 4], [0, 69, 24, 588, 168, 798, 168, 204, 24, 5], [0, 70, 16, 616, 112, 868, 112, 232, 16, 6], [0, 71, 8, 644, 56, 938, 56, 260, 8, 7], [0, 72, 0, 672, 0, 1008, 0, 288, 0, 8]}
(10, 2048, 7) has 64 possible DDs: {[0, 26, 112, 88, 784, 28, 784, 88, 112, 26, 0], [0, 27, 104, 116, 728, 98, 728, 116, 104, 27, 0], [0, 27, 105, 108, 756, 42, 798, 60, 132, 19, 1], [0, 28, 96, 144, 672, 168, 672, 144, 96, 28, 0], [0, 28, 97, 136, 700, 112, 742, 88, 124, 20, 1], [0, 28, 98, 128, 728, 56, 812, 32, 152, 12, 2], [0, 29, 88, 172, 616, 238, 616, 172, 88, 29, 0], [0, 29, 89, 164, 644, 182, 686, 116, 116, 21, 1], [0, 29, 90, 156, 672, 126, 756, 60, 144, 13, 2], [0, 29, 91, 148, 700, 70, 826, 4, 172, 5, 3], [0, 30, 80, 200, 560, 308, 560, 200, 80, 30, 0], [0, 30, 81, 192, 588, 252, 630, 144, 108, 22, 1], [0, 30, 82, 184, 616, 196, 700, 88, 136, 14, 2], [0, 30, 83, 176, 644, 140, 770, 32, 164, 6, 3], [0, 31, 72, 228, 504, 378, 504, 228, 72, 31, 0], [0, 31, 73, 220, 532, 322, 574, 172, 100, 23, 1], [0, 31, 74, 212, 560, 266, 644, 116, 128, 15, 2], [0, 31, 75, 204, 588, 210, 714, 60, 156, 7, 3], [0, 32, 64, 256, 448, 448, 448, 256, 64, 32, 0], [0, 32, 65, 248, 476, 392, 518, 200, 92, 24, 1], [0, 32, 66, 240, 504, 336, 588, 144, 120, 16, 2], [0, 32, 67, 232, 532, 280, 658, 88, 148, 8, 3], [0, 32, 68, 224, 560, 224, 728, 32, 176, 0, 4], [0, 33, 56, 284, 392, 518, 392, 284, 56, 33, 0], [0, 33, 57, 276, 420, 462, 462, 228, 84, 25, 1], [0, 33, 58, 268, 448, 406, 532, 172, 112, 17, 2], [0, 33, 59, 260, 476, 350, 602, 116, 140, 9, 3], [0, 33, 60, 252, 504, 294, 672, 60, 168, 1, 4], [0, 34, 48, 312, 336, 588, 336, 312, 48, 34, 0], [0, 34, 49, 304, 364, 532, 406, 256, 76, 26, 1], [0, 34, 50, 296, 392, 476, 476, 200, 104, 18, 2], [0, 34, 51, 288, 420, 420, 546, 144, 132, 10, 3], [0, 34, 52, 280, 448, 364, 616, 88, 160, 2, 4], [0, 35, 40, 340, 280, 658, 280, 340, 40, 35, 0], [0, 35, 41, 332, 308, 602, 350, 284, 68, 27, 1], [0, 35, 42, 324, 336, 546, 420, 228, 96, 19, 2], [0, 35, 43, 316, 364, 490, 490, 172, 124, 11, 3], [0, 35, 44, 308, 392, 434, 560, 116, 152, 3, 4], [0, 36, 32, 368, 224, 728, 224, 368, 32, 36, 0], [0, 36, 33, 360, 252, 672, 294, 312, 60, 28, 1], [0, 36, 34, 352, 280, 616, 364, 256, 88, 20, 2], [0, 36, 35, 344, 308, 560, 434, 200, 116, 12, 3], [0, 36, 36, 336, 336, 504, 504, 144, 144, 4, 4], [0, 37, 24, 396, 168, 798, 168, 396, 24, 37, 0], [0, 37, 25, 388, 196, 742, 238, 340, 52, 29, 1], [0, 37, 26, 380, 224, 686, 308, 284, 80, 21, 2], [0, 37, 27, 372, 252, 630, 378, 228, 108, 13, 3], [0, 37, 28, 364, 280, 574, 448, 172, 136, 5, 4], [0, 38, 16, 424, 112, 868, 112, 424, 16, 38, 0], [0, 38, 17, 416, 140, 812, 182, 368, 44, 30, 1], [0, 38, 18, 408, 168, 756, 252, 312, 72, 22, 2], [0, 38, 19, 400, 196, 700, 322, 256, 100, 14, 3], [0, 38, 20, 392, 224, 644, 392, 200, 128, 6, 4], [0, 39, 8, 452, 56, 938, 56, 452, 8, 39, 0], [0, 39, 9, 444, 84, 882, 126, 396, 36, 31, 1], [0, 39, 10, 436, 112, 826, 196, 340, 64, 23, 2], [0, 39, 11, 428, 140, 770, 266, 284, 92, 15, 3], [0, 39, 12, 420, 168, 714, 336, 228, 120, 7, 4], [0, 40, 0, 480, 0, 1008, 0, 480, 0, 40, 0], [0, 40, 1, 472, 28, 952, 70, 424, 28, 32, 1], [0, 40, 2, 464, 56, 896, 140, 368, 56, 24, 2], [0, 40, 3, 456, 84, 840, 210, 312, 84, 16, 3], [0, 40, 4, 448, 112, 784, 280, 256, 112, 8, 4], [0, 40, 5, 440, 140, 728, 350, 200, 140, 0, 5]}
(11, 2048, 7) has 421 possible DDs: {[0, 8, 104, 0, 576, 336, 336, 576, 0, 104, 8, 0], [0, 9, 97, 20, 548, 350, 350, 548, 20, 97, 9, 0], [0, 9, 98, 12, 576, 294, 420, 492, 48, 89, 10, 0], [0, 9, 99, 4, 604, 238, 490, 436, 76, 81, 11, 0], [0, 9, 99, 5, 596, 266, 434, 506, 20, 109, 3, 1], [0, 10, 89, 48, 492, 420, 294, 576, 12, 98, 9, 0], [0, 10, 90, 40, 520, 364, 364, 520, 40, 90, 10, 0], [0, 10, 91, 32, 548, 308, 434, 464, 68, 82, 11, 0], [0, 10, 91, 33, 540, 336, 378, 534, 12, 110, 3, 1], [0, 10, 92, 24, 576, 252, 504, 408, 96, 74, 12, 0], [0, 10, 92, 25, 568, 280, 448, 478, 40, 102, 4, 1], [0, 10, 93, 16, 604, 196, 574, 352, 124, 66, 13, 0], [0, 10, 93, 17, 596, 224, 518, 422, 68, 94, 5, 1], [0, 10, 94, 8, 632, 140, 644, 296, 152, 58, 14, 0], [0, 10, 94, 9, 624, 168, 588, 366, 96, 86, 6, 1], [0, 10, 95, 0, 660, 84, 714, 240, 180, 50, 15, 0], [0, 10, 95, 1, 652, 112, 658, 310, 124, 78, 7, 1], [0, 11, 81, 76, 436, 490, 238, 604, 4, 99, 9, 0], [0, 11, 82, 68, 464, 434, 308, 548, 32, 91, 10, 0], [0, 11, 83, 60, 492, 378, 378, 492, 60, 83, 11, 0], [0, 11, 83, 61, 484, 406, 322, 562, 4, 111, 3, 1], [0, 11, 84, 52, 520, 322, 448, 436, 88, 75, 12, 0], [0, 11, 84, 53, 512, 350, 392, 506, 32, 103, 4, 1], [0, 11, 85, 44, 548, 266, 518, 380, 116, 67, 13, 0], [0, 11, 85, 45, 540, 294, 462, 450, 60, 95, 5, 1], [0, 11, 86, 36, 576, 210, 588, 324, 144, 59, 14, 0], [0, 11, 86, 37, 568, 238, 532, 394, 88, 87, 6, 1], [0, 11, 87, 28, 604, 154, 658, 268, 172, 51, 15, 0], [0, 11, 87, 29, 596, 182, 602, 338, 116, 79, 7, 1], [0, 11, 88, 20, 632, 98, 728, 212, 200, 43, 16, 0], [0, 11, 88, 21, 624, 126, 672, 282, 144, 71, 8, 1], [0, 11, 88, 22, 616, 154, 616, 352, 88, 99, 0, 2], [0, 11, 89, 12, 660, 42, 798, 156, 228, 35, 17, 0], [0, 11, 89, 13, 652, 70, 742, 226, 172, 63, 9, 1], [0, 11, 89, 14, 644, 98, 686, 296, 116, 91, 1, 2], [0, 11, 90, 5, 680, 14, 812, 170, 200, 55, 10, 1], [0, 11, 90, 6, 672, 42, 756, 240, 144, 83, 2, 2], [0, 12, 74, 96, 408, 504, 252, 576, 24, 92, 10, 0], [0, 12, 75, 88, 436, 448, 322, 520, 52, 84, 11, 0], [0, 12, 76, 80, 464, 392, 392, 464, 80, 76, 12, 0], [0, 12, 76, 81, 456, 420, 336, 534, 24, 104, 4, 1], [0, 12, 77, 72, 492, 336, 462, 408, 108, 68, 13, 0], [0, 12, 77, 73, 484, 364, 406, 478, 52, 96, 5, 1], [0, 12, 78, 64, 520, 280, 532, 352, 136, 60, 14, 0], [0, 12, 78, 65, 512, 308, 476, 422, 80, 88, 6, 1], [0, 12, 79, 56, 548, 224, 602, 296, 164, 52, 15, 0], [0, 12, 79, 57, 540, 252, 546, 366, 108, 80, 7, 1], [0, 12, 80, 48, 576, 168, 672, 240, 192, 44, 16, 0], [0, 12, 80, 49, 568, 196, 616, 310, 136, 72, 8, 1], [0, 12, 80, 50, 560, 224, 560, 380, 80, 100, 0, 2], [0, 12, 81, 40, 604, 112, 742, 184, 220, 36, 17, 0], [0, 12, 81, 41, 596, 140, 686, 254, 164, 64, 9, 1], [0, 12, 81, 42, 588, 168, 630, 324, 108, 92, 1, 2], [0, 12, 82, 32, 632, 56, 812, 128, 248, 28, 18, 0], [0, 12, 82, 33, 624, 84, 756, 198, 192, 56, 10, 1], [0, 12, 82, 34, 616, 112, 700, 268, 136, 84, 2, 2], [0, 12, 83, 24, 660, 0, 882, 72, 276, 20, 19, 0], [0, 12, 83, 25, 652, 28, 826, 142, 220, 48, 11, 1], [0, 12, 83, 26, 644, 56, 770, 212, 164, 76, 3, 2], [0, 12, 84, 18, 672, 0, 840, 156, 192, 68, 4, 2], [0, 13, 66, 124, 352, 574, 196, 604, 16, 93, 10, 0], [0, 13, 67, 116, 380, 518, 266, 548, 44, 85, 11, 0], [0, 13, 68, 108, 408, 462, 336, 492, 72, 77, 12, 0], [0, 13, 68, 109, 400, 490, 280, 562, 16, 105, 4, 1], [0, 13, 69, 100, 436, 406, 406, 436, 100, 69, 13, 0], [0, 13, 69, 101, 428, 434, 350, 506, 44, 97, 5, 1], [0, 13, 70, 92, 464, 350, 476, 380, 128, 61, 14, 0], [0, 13, 70, 93, 456, 378, 420, 450, 72, 89, 6, 1], [0, 13, 71, 84, 492, 294, 546, 324, 156, 53, 15, 0], [0, 13, 71, 85, 484, 322, 490, 394, 100, 81, 7, 1], [0, 13, 72, 76, 520, 238, 616, 268, 184, 45, 16, 0], [0, 13, 72, 77, 512, 266, 560, 338, 128, 73, 8, 1], [0, 13, 72, 78, 504, 294, 504, 408, 72, 101, 0, 2], [0, 13, 73, 68, 548, 182, 686, 212, 212, 37, 17, 0], [0, 13, 73, 69, 540, 210, 630, 282, 156, 65, 9, 1], [0, 13, 73, 70, 532, 238, 574, 352, 100, 93, 1, 2], [0, 13, 74, 60, 576, 126, 756, 156, 240, 29, 18, 0], [0, 13, 74, 61, 568, 154, 700, 226, 184, 57, 10, 1], [0, 13, 74, 62, 560, 182, 644, 296, 128, 85, 2, 2], [0, 13, 75, 52, 604, 70, 826, 100, 268, 21, 19, 0], [0, 13, 75, 53, 596, 98, 770, 170, 212, 49, 11, 1], [0, 13, 75, 54, 588, 126, 714, 240, 156, 77, 3, 2], [0, 13, 76, 44, 632, 14, 896, 44, 296, 13, 20, 0], [0, 13, 76, 45, 624, 42, 840, 114, 240, 41, 12, 1], [0, 13, 76, 46, 616, 70, 784, 184, 184, 69, 4, 2], [0, 13, 77, 38, 644, 14, 854, 128, 212, 61, 5, 2], [0, 14, 58, 152, 296, 644, 140, 632, 8, 94, 10, 0], [0, 14, 59, 144, 324, 588, 210, 576, 36, 86, 11, 0], [0, 14, 60, 136, 352, 532, 280, 520, 64, 78, 12, 0], [0, 14, 60, 137, 344, 560, 224, 590, 8, 106, 4, 1], [0, 14, 61, 128, 380, 476, 350, 464, 92, 70, 13, 0], [0, 14, 61, 129, 372, 504, 294, 534, 36, 98, 5, 1], [0, 14, 62, 120, 408, 420, 420, 408, 120, 62, 14, 0], [0, 14, 62, 121, 400, 448, 364, 478, 64, 90, 6, 1], [0, 14, 63, 112, 436, 364, 490, 352, 148, 54, 15, 0], [0, 14, 63, 113, 428, 392, 434, 422, 92, 82, 7, 1], [0, 14, 64, 104, 464, 308, 560, 296, 176, 46, 16, 0], [0, 14, 64, 105, 456, 336, 504, 366, 120, 74, 8, 1], [0, 14, 64, 106, 448, 364, 448, 436, 64, 102, 0, 2], [0, 14, 65, 96, 492, 252, 630, 240, 204, 38, 17, 0], [0, 14, 65, 97, 484, 280, 574, 310, 148, 66, 9, 1], [0, 14, 65, 98, 476, 308, 518, 380, 92, 94, 1, 2], [0, 14, 66, 88, 520, 196, 700, 184, 232, 30, 18, 0], [0, 14, 66, 89, 512, 224, 644, 254, 176, 58, 10, 1], [0, 14, 66, 90, 504, 252, 588, 324, 120, 86, 2, 2], [0, 14, 67, 80, 548, 140, 770, 128, 260, 22, 19, 0], [0, 14, 67, 81, 540, 168, 714, 198, 204, 50, 11, 1], [0, 14, 67, 82, 532, 196, 658, 268, 148, 78, 3, 2], [0, 14, 68, 72, 576, 84, 840, 72, 288, 14, 20, 0], [0, 14, 68, 73, 568, 112, 784, 142, 232, 42, 12, 1], [0, 14, 68, 74, 560, 140, 728, 212, 176, 70, 4, 2], [0, 14, 69, 64, 604, 28, 910, 16, 316, 6, 21, 0], [0, 14, 69, 65, 596, 56, 854, 86, 260, 34, 13, 1], [0, 14, 69, 66, 588, 84, 798, 156, 204, 62, 5, 2], [0, 14, 70, 57, 624, 0, 924, 30, 288, 26, 14, 1], [0, 14, 70, 58, 616, 28, 868, 100, 232, 54, 6, 2], [0, 15, 50, 180, 240, 714, 84, 660, 0, 95, 10, 0], [0, 15, 51, 172, 268, 658, 154, 604, 28, 87, 11, 0], [0, 15, 52, 164, 296, 602, 224, 548, 56, 79, 12, 0], [0, 15, 52, 165, 288, 630, 168, 618, 0, 107, 4, 1], [0, 15, 53, 156, 324, 546, 294, 492, 84, 71, 13, 0], [0, 15, 53, 157, 316, 574, 238, 562, 28, 99, 5, 1], [0, 15, 54, 148, 352, 490, 364, 436, 112, 63, 14, 0], [0, 15, 54, 149, 344, 518, 308, 506, 56, 91, 6, 1], [0, 15, 55, 140, 380, 434, 434, 380, 140, 55, 15, 0], [0, 15, 55, 141, 372, 462, 378, 450, 84, 83, 7, 1], [0, 15, 56, 132, 408, 378, 504, 324, 168, 47, 16, 0], [0, 15, 56, 133, 400, 406, 448, 394, 112, 75, 8, 1], [0, 15, 56, 134, 392, 434, 392, 464, 56, 103, 0, 2], [0, 15, 57, 124, 436, 322, 574, 268, 196, 39, 17, 0], [0, 15, 57, 125, 428, 350, 518, 338, 140, 67, 9, 1], [0, 15, 57, 126, 420, 378, 462, 408, 84, 95, 1, 2], [0, 15, 58, 116, 464, 266, 644, 212, 224, 31, 18, 0], [0, 15, 58, 117, 456, 294, 588, 282, 168, 59, 10, 1], [0, 15, 58, 118, 448, 322, 532, 352, 112, 87, 2, 2], [0, 15, 59, 108, 492, 210, 714, 156, 252, 23, 19, 0], [0, 15, 59, 109, 484, 238, 658, 226, 196, 51, 11, 1], [0, 15, 59, 110, 476, 266, 602, 296, 140, 79, 3, 2], [0, 15, 60, 100, 520, 154, 784, 100, 280, 15, 20, 0], [0, 15, 60, 101, 512, 182, 728, 170, 224, 43, 12, 1], [0, 15, 60, 102, 504, 210, 672, 240, 168, 71, 4, 2], [0, 15, 61, 92, 548, 98, 854, 44, 308, 7, 21, 0], [0, 15, 61, 93, 540, 126, 798, 114, 252, 35, 13, 1], [0, 15, 61, 94, 532, 154, 742, 184, 196, 63, 5, 2], [0, 15, 62, 85, 568, 70, 868, 58, 280, 27, 14, 1], [0, 15, 62, 86, 560, 98, 812, 128, 224, 55, 6, 2], [0, 15, 63, 77, 596, 14, 938, 2, 308, 19, 15, 1], [0, 15, 63, 78, 588, 42, 882, 72, 252, 47, 7, 2], [0, 15, 64, 71, 608, 14, 896, 86, 224, 67, 0, 3], [0, 16, 43, 200, 212, 728, 98, 632, 20, 88, 11, 0], [0, 16, 44, 192, 240, 672, 168, 576, 48, 80, 12, 0], [0, 16, 45, 184, 268, 616, 238, 520, 76, 72, 13, 0], [0, 16, 45, 185, 260, 644, 182, 590, 20, 100, 5, 1], [0, 16, 46, 176, 296, 560, 308, 464, 104, 64, 14, 0], [0, 16, 46, 177, 288, 588, 252, 534, 48, 92, 6, 1], [0, 16, 47, 168, 324, 504, 378, 408, 132, 56, 15, 0], [0, 16, 47, 169, 316, 532, 322, 478, 76, 84, 7, 1], [0, 16, 48, 160, 352, 448, 448, 352, 160, 48, 16, 0], [0, 16, 48, 161, 344, 476, 392, 422, 104, 76, 8, 1], [0, 16, 48, 162, 336, 504, 336, 492, 48, 104, 0, 2], [0, 16, 49, 152, 380, 392, 518, 296, 188, 40, 17, 0], [0, 16, 49, 153, 372, 420, 462, 366, 132, 68, 9, 1], [0, 16, 49, 154, 364, 448, 406, 436, 76, 96, 1, 2], [0, 16, 50, 144, 408, 336, 588, 240, 216, 32, 18, 0], [0, 16, 50, 145, 400, 364, 532, 310, 160, 60, 10, 1], [0, 16, 50, 146, 392, 392, 476, 380, 104, 88, 2, 2], [0, 16, 51, 136, 436, 280, 658, 184, 244, 24, 19, 0], [0, 16, 51, 137, 428, 308, 602, 254, 188, 52, 11, 1], [0, 16, 51, 138, 420, 336, 546, 324, 132, 80, 3, 2], [0, 16, 52, 128, 464, 224, 728, 128, 272, 16, 20, 0], [0, 16, 52, 129, 456, 252, 672, 198, 216, 44, 12, 1], [0, 16, 52, 130, 448, 280, 616, 268, 160, 72, 4, 2], [0, 16, 53, 120, 492, 168, 798, 72, 300, 8, 21, 0], [0, 16, 53, 121, 484, 196, 742, 142, 244, 36, 13, 1], [0, 16, 53, 122, 476, 224, 686, 212, 188, 64, 5, 2], [0, 16, 54, 112, 520, 112, 868, 16, 328, 0, 22, 0], [0, 16, 54, 113, 512, 140, 812, 86, 272, 28, 14, 1], [0, 16, 54, 114, 504, 168, 756, 156, 216, 56, 6, 2], [0, 16, 55, 105, 540, 84, 882, 30, 300, 20, 15, 1], [0, 16, 55, 106, 532, 112, 826, 100, 244, 48, 7, 2], [0, 16, 56, 98, 560, 56, 896, 44, 272, 40, 8, 2], [0, 16, 56, 99, 552, 84, 840, 114, 216, 68, 0, 3], [0, 16, 57, 91, 580, 28, 910, 58, 244, 60, 1, 3], [0, 17, 35, 228, 156, 798, 42, 660, 12, 89, 11, 0], [0, 17, 36, 220, 184, 742, 112, 604, 40, 81, 12, 0], [0, 17, 37, 212, 212, 686, 182, 548, 68, 73, 13, 0], [0, 17, 37, 213, 204, 714, 126, 618, 12, 101, 5, 1], [0, 17, 38, 204, 240, 630, 252, 492, 96, 65, 14, 0], [0, 17, 38, 205, 232, 658, 196, 562, 40, 93, 6, 1], [0, 17, 39, 196, 268, 574, 322, 436, 124, 57, 15, 0], [0, 17, 39, 197, 260, 602, 266, 506, 68, 85, 7, 1], [0, 17, 40, 188, 296, 518, 392, 380, 152, 49, 16, 0], [0, 17, 40, 189, 288, 546, 336, 450, 96, 77, 8, 1], [0, 17, 40, 190, 280, 574, 280, 520, 40, 105, 0, 2], [0, 17, 41, 180, 324, 462, 462, 324, 180, 41, 17, 0], [0, 17, 41, 181, 316, 490, 406, 394, 124, 69, 9, 1], [0, 17, 41, 182, 308, 518, 350, 464, 68, 97, 1, 2], [0, 17, 42, 172, 352, 406, 532, 268, 208, 33, 18, 0], [0, 17, 42, 173, 344, 434, 476, 338, 152, 61, 10, 1], [0, 17, 42, 174, 336, 462, 420, 408, 96, 89, 2, 2], [0, 17, 43, 164, 380, 350, 602, 212, 236, 25, 19, 0], [0, 17, 43, 165, 372, 378, 546, 282, 180, 53, 11, 1], [0, 17, 43, 166, 364, 406, 490, 352, 124, 81, 3, 2], [0, 17, 44, 156, 408, 294, 672, 156, 264, 17, 20, 0], [0, 17, 44, 157, 400, 322, 616, 226, 208, 45, 12, 1], [0, 17, 44, 158, 392, 350, 560, 296, 152, 73, 4, 2], [0, 17, 45, 148, 436, 238, 742, 100, 292, 9, 21, 0], [0, 17, 45, 149, 428, 266, 686, 170, 236, 37, 13, 1], [0, 17, 45, 150, 420, 294, 630, 240, 180, 65, 5, 2], [0, 17, 46, 140, 464, 182, 812, 44, 320, 1, 22, 0], [0, 17, 46, 141, 456, 210, 756, 114, 264, 29, 14, 1], [0, 17, 46, 142, 448, 238, 700, 184, 208, 57, 6, 2], [0, 17, 47, 133, 484, 154, 826, 58, 292, 21, 15, 1], [0, 17, 47, 134, 476, 182, 770, 128, 236, 49, 7, 2], [0, 17, 48, 125, 512, 98, 896, 2, 320, 13, 16, 1], [0, 17, 48, 126, 504, 126, 840, 72, 264, 41, 8, 2], [0, 17, 48, 127, 496, 154, 784, 142, 208, 69, 0, 3], [0, 17, 49, 118, 532, 70, 910, 16, 292, 33, 9, 2], [0, 17, 49, 119, 524, 98, 854, 86, 236, 61, 1, 3], [0, 17, 50, 111, 552, 42, 924, 30, 264, 53, 2, 3], [0, 18, 28, 248, 128, 812, 56, 632, 32, 82, 12, 0], [0, 18, 29, 240, 156, 756, 126, 576, 60, 74, 13, 0], [0, 18, 29, 241, 148, 784, 70, 646, 4, 102, 5, 1], [0, 18, 30, 232, 184, 700, 196, 520, 88, 66, 14, 0], [0, 18, 30, 233, 176, 728, 140, 590, 32, 94, 6, 1], [0, 18, 31, 224, 212, 644, 266, 464, 116, 58, 15, 0], [0, 18, 31, 225, 204, 672, 210, 534, 60, 86, 7, 1], [0, 18, 32, 216, 240, 588, 336, 408, 144, 50, 16, 0], [0, 18, 32, 217, 232, 616, 280, 478, 88, 78, 8, 1], [0, 18, 32, 218, 224, 644, 224, 548, 32, 106, 0, 2], [0, 18, 33, 208, 268, 532, 406, 352, 172, 42, 17, 0], [0, 18, 33, 209, 260, 560, 350, 422, 116, 70, 9, 1], [0, 18, 33, 210, 252, 588, 294, 492, 60, 98, 1, 2], [0, 18, 34, 200, 296, 476, 476, 296, 200, 34, 18, 0], [0, 18, 34, 201, 288, 504, 420, 366, 144, 62, 10, 1], [0, 18, 34, 202, 280, 532, 364, 436, 88, 90, 2, 2], [0, 18, 35, 192, 324, 420, 546, 240, 228, 26, 19, 0], [0, 18, 35, 193, 316, 448, 490, 310, 172, 54, 11, 1], [0, 18, 35, 194, 308, 476, 434, 380, 116, 82, 3, 2], [0, 18, 36, 184, 352, 364, 616, 184, 256, 18, 20, 0], [0, 18, 36, 185, 344, 392, 560, 254, 200, 46, 12, 1], [0, 18, 36, 186, 336, 420, 504, 324, 144, 74, 4, 2], [0, 18, 37, 176, 380, 308, 686, 128, 284, 10, 21, 0], [0, 18, 37, 177, 372, 336, 630, 198, 228, 38, 13, 1], [0, 18, 37, 178, 364, 364, 574, 268, 172, 66, 5, 2], [0, 18, 38, 168, 408, 252, 756, 72, 312, 2, 22, 0], [0, 18, 38, 169, 400, 280, 700, 142, 256, 30, 14, 1], [0, 18, 38, 170, 392, 308, 644, 212, 200, 58, 6, 2], [0, 18, 39, 161, 428, 224, 770, 86, 284, 22, 15, 1], [0, 18, 39, 162, 420, 252, 714, 156, 228, 50, 7, 2], [0, 18, 40, 153, 456, 168, 840, 30, 312, 14, 16, 1], [0, 18, 40, 154, 448, 196, 784, 100, 256, 42, 8, 2], [0, 18, 40, 155, 440, 224, 728, 170, 200, 70, 0, 3], [0, 18, 41, 146, 476, 140, 854, 44, 284, 34, 9, 2], [0, 18, 41, 147, 468, 168, 798, 114, 228, 62, 1, 3], [0, 18, 42, 139, 496, 112, 868, 58, 256, 54, 2, 3], [0, 18, 43, 131, 524, 56, 938, 2, 284, 46, 3, 3], [0, 19, 20, 276, 72, 882, 0, 660, 24, 83, 12, 0], [0, 19, 21, 268, 100, 826, 70, 604, 52, 75, 13, 0], [0, 19, 22, 260, 128, 770, 140, 548, 80, 67, 14, 0], [0, 19, 22, 261, 120, 798, 84, 618, 24, 95, 6, 1], [0, 19, 23, 252, 156, 714, 210, 492, 108, 59, 15, 0], [0, 19, 23, 253, 148, 742, 154, 562, 52, 87, 7, 1], [0, 19, 24, 244, 184, 658, 280, 436, 136, 51, 16, 0], [0, 19, 24, 245, 176, 686, 224, 506, 80, 79, 8, 1], [0, 19, 24, 246, 168, 714, 168, 576, 24, 107, 0, 2], [0, 19, 25, 236, 212, 602, 350, 380, 164, 43, 17, 0], [0, 19, 25, 237, 204, 630, 294, 450, 108, 71, 9, 1], [0, 19, 25, 238, 196, 658, 238, 520, 52, 99, 1, 2], [0, 19, 26, 228, 240, 546, 420, 324, 192, 35, 18, 0], [0, 19, 26, 229, 232, 574, 364, 394, 136, 63, 10, 1], [0, 19, 26, 230, 224, 602, 308, 464, 80, 91, 2, 2], [0, 19, 27, 220, 268, 490, 490, 268, 220, 27, 19, 0], [0, 19, 27, 221, 260, 518, 434, 338, 164, 55, 11, 1], [0, 19, 27, 222, 252, 546, 378, 408, 108, 83, 3, 2], [0, 19, 28, 212, 296, 434, 560, 212, 248, 19, 20, 0], [0, 19, 28, 213, 288, 462, 504, 282, 192, 47, 12, 1], [0, 19, 28, 214, 280, 490, 448, 352, 136, 75, 4, 2], [0, 19, 29, 204, 324, 378, 630, 156, 276, 11, 21, 0], [0, 19, 29, 205, 316, 406, 574, 226, 220, 39, 13, 1], [0, 19, 29, 206, 308, 434, 518, 296, 164, 67, 5, 2], [0, 19, 30, 196, 352, 322, 700, 100, 304, 3, 22, 0], [0, 19, 30, 197, 344, 350, 644, 170, 248, 31, 14, 1], [0, 19, 30, 198, 336, 378, 588, 240, 192, 59, 6, 2], [0, 19, 31, 189, 372, 294, 714, 114, 276, 23, 15, 1], [0, 19, 31, 190, 364, 322, 658, 184, 220, 51, 7, 2], [0, 19, 32, 181, 400, 238, 784, 58, 304, 15, 16, 1], [0, 19, 32, 182, 392, 266, 728, 128, 248, 43, 8, 2], [0, 19, 32, 183, 384, 294, 672, 198, 192, 71, 0, 3], [0, 19, 33, 173, 428, 182, 854, 2, 332, 7, 17, 1], [0, 19, 33, 174, 420, 210, 798, 72, 276, 35, 9, 2], [0, 19, 33, 175, 412, 238, 742, 142, 220, 63, 1, 3], [0, 19, 34, 166, 448, 154, 868, 16, 304, 27, 10, 2], [0, 19, 34, 167, 440, 182, 812, 86, 248, 55, 2, 3], [0, 19, 35, 159, 468, 126, 882, 30, 276, 47, 3, 3], [0, 20, 13, 296, 44, 896, 14, 632, 44, 76, 13, 0], [0, 20, 14, 288, 72, 840, 84, 576, 72, 68, 14, 0], [0, 20, 14, 289, 64, 868, 28, 646, 16, 96, 6, 1], [0, 20, 15, 280, 100, 784, 154, 520, 100, 60, 15, 0], [0, 20, 15, 281, 92, 812, 98, 590, 44, 88, 7, 1], [0, 20, 16, 272, 128, 728, 224, 464, 128, 52, 16, 0], [0, 20, 16, 273, 120, 756, 168, 534, 72, 80, 8, 1], [0, 20, 16, 274, 112, 784, 112, 604, 16, 108, 0, 2], [0, 20, 17, 264, 156, 672, 294, 408, 156, 44, 17, 0], [0, 20, 17, 265, 148, 700, 238, 478, 100, 72, 9, 1], [0, 20, 17, 266, 140, 728, 182, 548, 44, 100, 1, 2], [0, 20, 18, 256, 184, 616, 364, 352, 184, 36, 18, 0], [0, 20, 18, 257, 176, 644, 308, 422, 128, 64, 10, 1], [0, 20, 18, 258, 168, 672, 252, 492, 72, 92, 2, 2], [0, 20, 19, 248, 212, 560, 434, 296, 212, 28, 19, 0], [0, 20, 19, 249, 204, 588, 378, 366, 156, 56, 11, 1], [0, 20, 19, 250, 196, 616, 322, 436, 100, 84, 3, 2], [0, 20, 20, 240, 240, 504, 504, 240, 240, 20, 20, 0], [0, 20, 20, 241, 232, 532, 448, 310, 184, 48, 12, 1], [0, 20, 20, 242, 224, 560, 392, 380, 128, 76, 4, 2], [0, 20, 21, 232, 268, 448, 574, 184, 268, 12, 21, 0], [0, 20, 21, 233, 260, 476, 518, 254, 212, 40, 13, 1], [0, 20, 21, 234, 252, 504, 462, 324, 156, 68, 5, 2], [0, 20, 22, 224, 296, 392, 644, 128, 296, 4, 22, 0], [0, 20, 22, 225, 288, 420, 588, 198, 240, 32, 14, 1], [0, 20, 22, 226, 280, 448, 532, 268, 184, 60, 6, 2], [0, 20, 23, 217, 316, 364, 658, 142, 268, 24, 15, 1], [0, 20, 23, 218, 308, 392, 602, 212, 212, 52, 7, 2], [0, 20, 24, 209, 344, 308, 728, 86, 296, 16, 16, 1], [0, 20, 24, 210, 336, 336, 672, 156, 240, 44, 8, 2], [0, 20, 24, 211, 328, 364, 616, 226, 184, 72, 0, 3], [0, 20, 25, 201, 372, 252, 798, 30, 324, 8, 17, 1], [0, 20, 25, 202, 364, 280, 742, 100, 268, 36, 9, 2], [0, 20, 25, 203, 356, 308, 686, 170, 212, 64, 1, 3], [0, 20, 26, 194, 392, 224, 812, 44, 296, 28, 10, 2], [0, 20, 26, 195, 384, 252, 756, 114, 240, 56, 2, 3], [0, 20, 27, 187, 412, 196, 826, 58, 268, 48, 3, 3], [0, 20, 28, 179, 440, 140, 896, 2, 296, 40, 4, 3], [0, 21, 6, 316, 16, 910, 28, 604, 64, 69, 14, 0], [0, 21, 7, 308, 44, 854, 98, 548, 92, 61, 15, 0], [0, 21, 7, 309, 36, 882, 42, 618, 36, 89, 7, 1], [0, 21, 8, 300, 72, 798, 168, 492, 120, 53, 16, 0], [0, 21, 8, 301, 64, 826, 112, 562, 64, 81, 8, 1], [0, 21, 8, 302, 56, 854, 56, 632, 8, 109, 0, 2], [0, 21, 9, 292, 100, 742, 238, 436, 148, 45, 17, 0], [0, 21, 9, 293, 92, 770, 182, 506, 92, 73, 9, 1], [0, 21, 9, 294, 84, 798, 126, 576, 36, 101, 1, 2], [0, 21, 10, 284, 128, 686, 308, 380, 176, 37, 18, 0], [0, 21, 10, 285, 120, 714, 252, 450, 120, 65, 10, 1], [0, 21, 10, 286, 112, 742, 196, 520, 64, 93, 2, 2], [0, 21, 11, 276, 156, 630, 378, 324, 204, 29, 19, 0], [0, 21, 11, 277, 148, 658, 322, 394, 148, 57, 11, 1], [0, 21, 11, 278, 140, 686, 266, 464, 92, 85, 3, 2], [0, 21, 12, 268, 184, 574, 448, 268, 232, 21, 20, 0], [0, 21, 12, 269, 176, 602, 392, 338, 176, 49, 12, 1], [0, 21, 12, 270, 168, 630, 336, 408, 120, 77, 4, 2], [0, 21, 13, 260, 212, 518, 518, 212, 260, 13, 21, 0], [0, 21, 13, 261, 204, 546, 462, 282, 204, 41, 13, 1], [0, 21, 13, 262, 196, 574, 406, 352, 148, 69, 5, 2], [0, 21, 14, 252, 240, 462, 588, 156, 288, 5, 22, 0], [0, 21, 14, 253, 232, 490, 532, 226, 232, 33, 14, 1], [0, 21, 14, 254, 224, 518, 476, 296, 176, 61, 6, 2], [0, 21, 15, 245, 260, 434, 602, 170, 260, 25, 15, 1], [0, 21, 15, 246, 252, 462, 546, 240, 204, 53, 7, 2], [0, 21, 16, 237, 288, 378, 672, 114, 288, 17, 16, 1], [0, 21, 16, 238, 280, 406, 616, 184, 232, 45, 8, 2], [0, 21, 16, 239, 272, 434, 560, 254, 176, 73, 0, 3], [0, 21, 17, 229, 316, 322, 742, 58, 316, 9, 17, 1], [0, 21, 17, 230, 308, 350, 686, 128, 260, 37, 9, 2], [0, 21, 17, 231, 300, 378, 630, 198, 204, 65, 1, 3], [0, 21, 18, 221, 344, 266, 812, 2, 344, 1, 18, 1], [0, 21, 18, 222, 336, 294, 756, 72, 288, 29, 10, 2], [0, 21, 18, 223, 328, 322, 700, 142, 232, 57, 2, 3], [0, 21, 19, 214, 364, 238, 826, 16, 316, 21, 11, 2], [0, 21, 19, 215, 356, 266, 770, 86, 260, 49, 3, 3], [0, 21, 20, 207, 384, 210, 840, 30, 288, 41, 4, 3], [0, 22, 0, 328, 16, 868, 112, 520, 112, 54, 16, 0], [0, 22, 0, 329, 8, 896, 56, 590, 56, 82, 8, 1], [0, 22, 0, 330, 0, 924, 0, 660, 0, 110, 0, 2], [0, 22, 1, 320, 44, 812, 182, 464, 140, 46, 17, 0], [0, 22, 1, 321, 36, 840, 126, 534, 84, 74, 9, 1], [0, 22, 1, 322, 28, 868, 70, 604, 28, 102, 1, 2], [0, 22, 2, 312, 72, 756, 252, 408, 168, 38, 18, 0], [0, 22, 2, 313, 64, 784, 196, 478, 112, 66, 10, 1], [0, 22, 2, 314, 56, 812, 140, 548, 56, 94, 2, 2], [0, 22, 3, 304, 100, 700, 322, 352, 196, 30, 19, 0], [0, 22, 3, 305, 92, 728, 266, 422, 140, 58, 11, 1], [0, 22, 3, 306, 84, 756, 210, 492, 84, 86, 3, 2], [0, 22, 4, 296, 128, 644, 392, 296, 224, 22, 20, 0], [0, 22, 4, 297, 120, 672, 336, 366, 168, 50, 12, 1], [0, 22, 4, 298, 112, 700, 280, 436, 112, 78, 4, 2], [0, 22, 5, 288, 156, 588, 462, 240, 252, 14, 21, 0], [0, 22, 5, 289, 148, 616, 406, 310, 196, 42, 13, 1], [0, 22, 5, 290, 140, 644, 350, 380, 140, 70, 5, 2], [0, 22, 6, 280, 184, 532, 532, 184, 280, 6, 22, 0], [0, 22, 6, 281, 176, 560, 476, 254, 224, 34, 14, 1], [0, 22, 6, 282, 168, 588, 420, 324, 168, 62, 6, 2], [0, 22, 7, 273, 204, 504, 546, 198, 252, 26, 15, 1], [0, 22, 7, 274, 196, 532, 490, 268, 196, 54, 7, 2], [0, 22, 8, 265, 232, 448, 616, 142, 280, 18, 16, 1], [0, 22, 8, 266, 224, 476, 560, 212, 224, 46, 8, 2], [0, 22, 8, 267, 216, 504, 504, 282, 168, 74, 0, 3], [0, 22, 9, 257, 260, 392, 686, 86, 308, 10, 17, 1], [0, 22, 9, 258, 252, 420, 630, 156, 252, 38, 9, 2], [0, 22, 9, 259, 244, 448, 574, 226, 196, 66, 1, 3], [0, 22, 10, 249, 288, 336, 756, 30, 336, 2, 18, 1], [0, 22, 10, 250, 280, 364, 700, 100, 280, 30, 10, 2], [0, 22, 10, 251, 272, 392, 644, 170, 224, 58, 2, 3], [0, 22, 11, 242, 308, 308, 770, 44, 308, 22, 11, 2], [0, 22, 11, 243, 300, 336, 714, 114, 252, 50, 3, 3], [0, 22, 12, 235, 328, 280, 784, 58, 280, 42, 4, 3], [0, 22, 13, 227, 356, 224, 854, 2, 308, 34, 5, 3], [0, 23, 0, 293, 176, 518, 560, 170, 272, 19, 16, 1], [0, 23, 0, 294, 168, 546, 504, 240, 216, 47, 8, 2], [0, 23, 0, 295, 160, 574, 448, 310, 160, 75, 0, 3], [0, 23, 1, 285, 204, 462, 630, 114, 300, 11, 17, 1], [0, 23, 1, 286, 196, 490, 574, 184, 244, 39, 9, 2], [0, 23, 1, 287, 188, 518, 518, 254, 188, 67, 1, 3], [0, 23, 2, 277, 232, 406, 700, 58, 328, 3, 18, 1], [0, 23, 2, 278, 224, 434, 644, 128, 272, 31, 10, 2], [0, 23, 2, 279, 216, 462, 588, 198, 216, 59, 2, 3], [0, 23, 3, 270, 252, 378, 714, 72, 300, 23, 11, 2], [0, 23, 3, 271, 244, 406, 658, 142, 244, 51, 3, 3], [0, 23, 4, 262, 280, 322, 784, 16, 328, 15, 12, 2], [0, 23, 4, 263, 272, 350, 728, 86, 272, 43, 4, 3], [0, 23, 5, 255, 300, 294, 798, 30, 300, 35, 5, 3]}
(12, 2048, 7) has 2421 possible DDs: {[0, 0, 77, 24, 236, 680, 14, 680, 236, 24, 77, 0, 0], [0, 0, 78, 16, 264, 624, 84, 624, 264, 16, 78, 0, 0], [0, 0, 78, 17, 256, 652, 28, 694, 208, 44, 70, 1, 0], [0, 0, 79, 8, 292, 568, 154, 568, 292, 8, 79, 0, 0], [0, 0, 79, 9, 284, 596, 98, 638, 236, 36, 71, 1, 0], [0, 0, 79, 10, 276, 624, 42, 708, 180, 64, 63, 2, 0], [0, 0, 80, 0, 320, 512, 224, 512, 320, 0, 80, 0, 0], [0, 0, 80, 1, 312, 540, 168, 582, 264, 28, 72, 1, 0], [0, 0, 80, 2, 304, 568, 112, 652, 208, 56, 64, 2, 0], [0, 0, 80, 3, 296, 596, 56, 722, 152, 84, 56, 3, 0], [0, 0, 80, 4, 288, 624, 0, 792, 96, 112, 48, 4, 0], [0, 1, 70, 44, 208, 694, 28, 652, 256, 17, 78, 0, 0], [0, 1, 71, 36, 236, 638, 98, 596, 284, 9, 79, 0, 0], [0, 1, 71, 37, 228, 666, 42, 666, 228, 37, 71, 1, 0], [0, 1, 72, 28, 264, 582, 168, 540, 312, 1, 80, 0, 0], [0, 1, 72, 29, 256, 610, 112, 610, 256, 29, 72, 1, 0], [0, 1, 72, 30, 248, 638, 56, 680, 200, 57, 64, 2, 0], [0, 1, 72, 31, 240, 666, 0, 750, 144, 85, 56, 3, 0], [0, 1, 73, 21, 284, 554, 182, 554, 284, 21, 73, 1, 0], [0, 1, 73, 22, 276, 582, 126, 624, 228, 49, 65, 2, 0], [0, 1, 73, 23, 268, 610, 70, 694, 172, 77, 57, 3, 0], [0, 1, 73, 24, 260, 638, 14, 764, 116, 105, 49, 4, 0], [0, 1, 74, 13, 312, 498, 252, 498, 312, 13, 74, 1, 0], [0, 1, 74, 14, 304, 526, 196, 568, 256, 41, 66, 2, 0], [0, 1, 74, 15, 296, 554, 140, 638, 200, 69, 58, 3, 0], [0, 1, 74, 16, 288, 582, 84, 708, 144, 97, 50, 4, 0], [0, 1, 74, 17, 280, 610, 28, 778, 88, 125, 42, 5, 0], [0, 1, 75, 5, 340, 442, 322, 442, 340, 5, 75, 1, 0], [0, 1, 75, 6, 332, 470, 266, 512, 284, 33, 67, 2, 0], [0, 1, 75, 7, 324, 498, 210, 582, 228, 61, 59, 3, 0], [0, 1, 75, 8, 316, 526, 154, 652, 172, 89, 51, 4, 0], [0, 1, 75, 9, 308, 554, 98, 722, 116, 117, 43, 5, 0], [0, 1, 75, 10, 300, 582, 42, 792, 60, 145, 35, 6, 0], [0, 1, 76, 0, 344, 470, 224, 596, 200, 81, 52, 4, 0], [0, 1, 76, 1, 336, 498, 168, 666, 144, 109, 44, 5, 0], [0, 1, 76, 2, 328, 526, 112, 736, 88, 137, 36, 6, 0], [0, 1, 76, 3, 320, 554, 56, 806, 32, 165, 28, 7, 0], [0, 1, 76, 4, 313, 574, 28, 820, 46, 137, 48, 0, 1], [0, 2, 63, 64, 180, 708, 42, 624, 276, 10, 79, 0, 0], [0, 2, 64, 56, 208, 652, 112, 568, 304, 2, 80, 0, 0], [0, 2, 64, 57, 200, 680, 56, 638, 248, 30, 72, 1, 0], [0, 2, 64, 58, 192, 708, 0, 708, 192, 58, 64, 2, 0], [0, 2, 65, 49, 228, 624, 126, 582, 276, 22, 73, 1, 0], [0, 2, 65, 50, 220, 652, 70, 652, 220, 50, 65, 2, 0], [0, 2, 65, 51, 212, 680, 14, 722, 164, 78, 57, 3, 0], [0, 2, 66, 41, 256, 568, 196, 526, 304, 14, 74, 1, 0], [0, 2, 66, 42, 248, 596, 140, 596, 248, 42, 66, 2, 0], [0, 2, 66, 43, 240, 624, 84, 666, 192, 70, 58, 3, 0], [0, 2, 66, 44, 232, 652, 28, 736, 136, 98, 50, 4, 0], [0, 2, 67, 33, 284, 512, 266, 470, 332, 6, 75, 1, 0], [0, 2, 67, 34, 276, 540, 210, 540, 276, 34, 67, 2, 0], [0, 2, 67, 35, 268, 568, 154, 610, 220, 62, 59, 3, 0], [0, 2, 67, 36, 260, 596, 98, 680, 164, 90, 51, 4, 0], [0, 2, 67, 37, 252, 624, 42, 750, 108, 118, 43, 5, 0], [0, 2, 68, 26, 304, 484, 280, 484, 304, 26, 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