-------
(12, 1536, 7) ALL distance distributions for EXTERNAL point
(7, 1536, 7) has 0 possible DDs: {}
(8, 1536, 7) has 1 possible DDs: {[0, 96, 0, 672, 0, 672, 0, 96, 0]}
(9, 1536, 7) has 7 possible DDs: {[0, 48, 48, 336, 336, 336, 336, 48, 48, 0], [0, 49, 40, 364, 280, 406, 280, 76, 40, 1], [0, 50, 32, 392, 224, 476, 224, 104, 32, 2], [0, 51, 24, 420, 168, 546, 168, 132, 24, 3], [0, 52, 16, 448, 112, 616, 112, 160, 16, 4], [0, 53, 8, 476, 56, 686, 56, 188, 8, 5], [0, 54, 0, 504, 0, 756, 0, 216, 0, 6]}
(10, 1536, 7) has 38 possible DDs: {[0, 20, 80, 80, 560, 56, 560, 80, 80, 20, 0], [0, 20, 81, 72, 588, 0, 630, 24, 108, 12, 1], [0, 21, 72, 108, 504, 126, 504, 108, 72, 21, 0], [0, 21, 73, 100, 532, 70, 574, 52, 100, 13, 1], [0, 22, 64, 136, 448, 196, 448, 136, 64, 22, 0], [0, 22, 65, 128, 476, 140, 518, 80, 92, 14, 1], [0, 22, 66, 120, 504, 84, 588, 24, 120, 6, 2], [0, 23, 56, 164, 392, 266, 392, 164, 56, 23, 0], [0, 23, 57, 156, 420, 210, 462, 108, 84, 15, 1], [0, 23, 58, 148, 448, 154, 532, 52, 112, 7, 2], [0, 24, 48, 192, 336, 336, 336, 192, 48, 24, 0], [0, 24, 49, 184, 364, 280, 406, 136, 76, 16, 1], [0, 24, 50, 176, 392, 224, 476, 80, 104, 8, 2], [0, 24, 51, 168, 420, 168, 546, 24, 132, 0, 3], [0, 25, 40, 220, 280, 406, 280, 220, 40, 25, 0], [0, 25, 41, 212, 308, 350, 350, 164, 68, 17, 1], [0, 25, 42, 204, 336, 294, 420, 108, 96, 9, 2], [0, 25, 43, 196, 364, 238, 490, 52, 124, 1, 3], [0, 26, 32, 248, 224, 476, 224, 248, 32, 26, 0], [0, 26, 33, 240, 252, 420, 294, 192, 60, 18, 1], [0, 26, 34, 232, 280, 364, 364, 136, 88, 10, 2], [0, 26, 35, 224, 308, 308, 434, 80, 116, 2, 3], [0, 27, 24, 276, 168, 546, 168, 276, 24, 27, 0], [0, 27, 25, 268, 196, 490, 238, 220, 52, 19, 1], [0, 27, 26, 260, 224, 434, 308, 164, 80, 11, 2], [0, 27, 27, 252, 252, 378, 378, 108, 108, 3, 3], [0, 28, 16, 304, 112, 616, 112, 304, 16, 28, 0], [0, 28, 17, 296, 140, 560, 182, 248, 44, 20, 1], [0, 28, 18, 288, 168, 504, 252, 192, 72, 12, 2], [0, 28, 19, 280, 196, 448, 322, 136, 100, 4, 3], [0, 29, 8, 332, 56, 686, 56, 332, 8, 29, 0], [0, 29, 9, 324, 84, 630, 126, 276, 36, 21, 1], [0, 29, 10, 316, 112, 574, 196, 220, 64, 13, 2], [0, 29, 11, 308, 140, 518, 266, 164, 92, 5, 3], [0, 30, 0, 360, 0, 756, 0, 360, 0, 30, 0], [0, 30, 1, 352, 28, 700, 70, 304, 28, 22, 1], [0, 30, 2, 344, 56, 644, 140, 248, 56, 14, 2], [0, 30, 3, 336, 84, 588, 210, 192, 84, 6, 3]}
(11, 1536, 7) has 185 possible DDs: {[0, 6, 78, 0, 432, 252, 252, 432, 0, 78, 6, 0], [0, 7, 71, 20, 404, 266, 266, 404, 20, 71, 7, 0], [0, 7, 72, 12, 432, 210, 336, 348, 48, 63, 8, 0], [0, 7, 73, 4, 460, 154, 406, 292, 76, 55, 9, 0], [0, 7, 73, 5, 452, 182, 350, 362, 20, 83, 1, 1], [0, 8, 63, 48, 348, 336, 210, 432, 12, 72, 7, 0], [0, 8, 64, 40, 376, 280, 280, 376, 40, 64, 8, 0], [0, 8, 65, 32, 404, 224, 350, 320, 68, 56, 9, 0], [0, 8, 65, 33, 396, 252, 294, 390, 12, 84, 1, 1], [0, 8, 66, 24, 432, 168, 420, 264, 96, 48, 10, 0], [0, 8, 66, 25, 424, 196, 364, 334, 40, 76, 2, 1], [0, 8, 67, 16, 460, 112, 490, 208, 124, 40, 11, 0], [0, 8, 67, 17, 452, 140, 434, 278, 68, 68, 3, 1], [0, 8, 68, 8, 488, 56, 560, 152, 152, 32, 12, 0], [0, 8, 68, 9, 480, 84, 504, 222, 96, 60, 4, 1], [0, 8, 69, 0, 516, 0, 630, 96, 180, 24, 13, 0], [0, 8, 69, 1, 508, 28, 574, 166, 124, 52, 5, 1], [0, 9, 55, 76, 292, 406, 154, 460, 4, 73, 7, 0], [0, 9, 56, 68, 320, 350, 224, 404, 32, 65, 8, 0], [0, 9, 57, 60, 348, 294, 294, 348, 60, 57, 9, 0], [0, 9, 57, 61, 340, 322, 238, 418, 4, 85, 1, 1], [0, 9, 58, 52, 376, 238, 364, 292, 88, 49, 10, 0], [0, 9, 58, 53, 368, 266, 308, 362, 32, 77, 2, 1], [0, 9, 59, 44, 404, 182, 434, 236, 116, 41, 11, 0], [0, 9, 59, 45, 396, 210, 378, 306, 60, 69, 3, 1], [0, 9, 60, 36, 432, 126, 504, 180, 144, 33, 12, 0], [0, 9, 60, 37, 424, 154, 448, 250, 88, 61, 4, 1], [0, 9, 61, 28, 460, 70, 574, 124, 172, 25, 13, 0], [0, 9, 61, 29, 452, 98, 518, 194, 116, 53, 5, 1], [0, 9, 62, 20, 488, 14, 644, 68, 200, 17, 14, 0], [0, 9, 62, 21, 480, 42, 588, 138, 144, 45, 6, 1], [0, 10, 48, 96, 264, 420, 168, 432, 24, 66, 8, 0], [0, 10, 49, 88, 292, 364, 238, 376, 52, 58, 9, 0], [0, 10, 50, 80, 320, 308, 308, 320, 80, 50, 10, 0], [0, 10, 50, 81, 312, 336, 252, 390, 24, 78, 2, 1], [0, 10, 51, 72, 348, 252, 378, 264, 108, 42, 11, 0], [0, 10, 51, 73, 340, 280, 322, 334, 52, 70, 3, 1], [0, 10, 52, 64, 376, 196, 448, 208, 136, 34, 12, 0], [0, 10, 52, 65, 368, 224, 392, 278, 80, 62, 4, 1], [0, 10, 53, 56, 404, 140, 518, 152, 164, 26, 13, 0], [0, 10, 53, 57, 396, 168, 462, 222, 108, 54, 5, 1], [0, 10, 54, 48, 432, 84, 588, 96, 192, 18, 14, 0], [0, 10, 54, 49, 424, 112, 532, 166, 136, 46, 6, 1], [0, 10, 55, 40, 460, 28, 658, 40, 220, 10, 15, 0], [0, 10, 55, 41, 452, 56, 602, 110, 164, 38, 7, 1], [0, 10, 56, 33, 480, 0, 672, 54, 192, 30, 8, 1], [0, 10, 56, 34, 472, 28, 616, 124, 136, 58, 0, 2], [0, 11, 40, 124, 208, 490, 112, 460, 16, 67, 8, 0], [0, 11, 41, 116, 236, 434, 182, 404, 44, 59, 9, 0], [0, 11, 42, 108, 264, 378, 252, 348, 72, 51, 10, 0], [0, 11, 42, 109, 256, 406, 196, 418, 16, 79, 2, 1], [0, 11, 43, 100, 292, 322, 322, 292, 100, 43, 11, 0], [0, 11, 43, 101, 284, 350, 266, 362, 44, 71, 3, 1], [0, 11, 44, 92, 320, 266, 392, 236, 128, 35, 12, 0], [0, 11, 44, 93, 312, 294, 336, 306, 72, 63, 4, 1], [0, 11, 45, 84, 348, 210, 462, 180, 156, 27, 13, 0], [0, 11, 45, 85, 340, 238, 406, 250, 100, 55, 5, 1], [0, 11, 46, 76, 376, 154, 532, 124, 184, 19, 14, 0], [0, 11, 46, 77, 368, 182, 476, 194, 128, 47, 6, 1], [0, 11, 47, 68, 404, 98, 602, 68, 212, 11, 15, 0], [0, 11, 47, 69, 396, 126, 546, 138, 156, 39, 7, 1], [0, 11, 48, 60, 432, 42, 672, 12, 240, 3, 16, 0], [0, 11, 48, 61, 424, 70, 616, 82, 184, 31, 8, 1], [0, 11, 48, 62, 416, 98, 560, 152, 128, 59, 0, 2], [0, 11, 49, 53, 452, 14, 686, 26, 212, 23, 9, 1], [0, 11, 49, 54, 444, 42, 630, 96, 156, 51, 1, 2], [0, 12, 32, 152, 152, 560, 56, 488, 8, 68, 8, 0], [0, 12, 33, 144, 180, 504, 126, 432, 36, 60, 9, 0], [0, 12, 34, 136, 208, 448, 196, 376, 64, 52, 10, 0], [0, 12, 34, 137, 200, 476, 140, 446, 8, 80, 2, 1], [0, 12, 35, 128, 236, 392, 266, 320, 92, 44, 11, 0], [0, 12, 35, 129, 228, 420, 210, 390, 36, 72, 3, 1], [0, 12, 36, 120, 264, 336, 336, 264, 120, 36, 12, 0], [0, 12, 36, 121, 256, 364, 280, 334, 64, 64, 4, 1], [0, 12, 37, 112, 292, 280, 406, 208, 148, 28, 13, 0], [0, 12, 37, 113, 284, 308, 350, 278, 92, 56, 5, 1], [0, 12, 38, 104, 320, 224, 476, 152, 176, 20, 14, 0], [0, 12, 38, 105, 312, 252, 420, 222, 120, 48, 6, 1], [0, 12, 39, 96, 348, 168, 546, 96, 204, 12, 15, 0], [0, 12, 39, 97, 340, 196, 490, 166, 148, 40, 7, 1], [0, 12, 40, 88, 376, 112, 616, 40, 232, 4, 16, 0], [0, 12, 40, 89, 368, 140, 560, 110, 176, 32, 8, 1], [0, 12, 40, 90, 360, 168, 504, 180, 120, 60, 0, 2], [0, 12, 41, 81, 396, 84, 630, 54, 204, 24, 9, 1], [0, 12, 41, 82, 388, 112, 574, 124, 148, 52, 1, 2], [0, 12, 42, 74, 416, 56, 644, 68, 176, 44, 2, 2], [0, 12, 43, 66, 444, 0, 714, 12, 204, 36, 3, 2], [0, 13, 24, 180, 96, 630, 0, 516, 0, 69, 8, 0], [0, 13, 25, 172, 124, 574, 70, 460, 28, 61, 9, 0], [0, 13, 26, 164, 152, 518, 140, 404, 56, 53, 10, 0], [0, 13, 26, 165, 144, 546, 84, 474, 0, 81, 2, 1], [0, 13, 27, 156, 180, 462, 210, 348, 84, 45, 11, 0], [0, 13, 27, 157, 172, 490, 154, 418, 28, 73, 3, 1], [0, 13, 28, 148, 208, 406, 280, 292, 112, 37, 12, 0], [0, 13, 28, 149, 200, 434, 224, 362, 56, 65, 4, 1], [0, 13, 29, 140, 236, 350, 350, 236, 140, 29, 13, 0], [0, 13, 29, 141, 228, 378, 294, 306, 84, 57, 5, 1], [0, 13, 30, 132, 264, 294, 420, 180, 168, 21, 14, 0], [0, 13, 30, 133, 256, 322, 364, 250, 112, 49, 6, 1], [0, 13, 31, 124, 292, 238, 490, 124, 196, 13, 15, 0], [0, 13, 31, 125, 284, 266, 434, 194, 140, 41, 7, 1], [0, 13, 32, 116, 320, 182, 560, 68, 224, 5, 16, 0], [0, 13, 32, 117, 312, 210, 504, 138, 168, 33, 8, 1], [0, 13, 32, 118, 304, 238, 448, 208, 112, 61, 0, 2], [0, 13, 33, 109, 340, 154, 574, 82, 196, 25, 9, 1], [0, 13, 33, 110, 332, 182, 518, 152, 140, 53, 1, 2], [0, 13, 34, 101, 368, 98, 644, 26, 224, 17, 10, 1], [0, 13, 34, 102, 360, 126, 588, 96, 168, 45, 2, 2], [0, 13, 35, 94, 388, 70, 658, 40, 196, 37, 3, 2], [0, 14, 17, 200, 68, 644, 14, 488, 20, 62, 9, 0], [0, 14, 18, 192, 96, 588, 84, 432, 48, 54, 10, 0], [0, 14, 19, 184, 124, 532, 154, 376, 76, 46, 11, 0], [0, 14, 19, 185, 116, 560, 98, 446, 20, 74, 3, 1], [0, 14, 20, 176, 152, 476, 224, 320, 104, 38, 12, 0], [0, 14, 20, 177, 144, 504, 168, 390, 48, 66, 4, 1], [0, 14, 21, 168, 180, 420, 294, 264, 132, 30, 13, 0], [0, 14, 21, 169, 172, 448, 238, 334, 76, 58, 5, 1], [0, 14, 22, 160, 208, 364, 364, 208, 160, 22, 14, 0], [0, 14, 22, 161, 200, 392, 308, 278, 104, 50, 6, 1], [0, 14, 23, 152, 236, 308, 434, 152, 188, 14, 15, 0], [0, 14, 23, 153, 228, 336, 378, 222, 132, 42, 7, 1], [0, 14, 24, 144, 264, 252, 504, 96, 216, 6, 16, 0], [0, 14, 24, 145, 256, 280, 448, 166, 160, 34, 8, 1], [0, 14, 24, 146, 248, 308, 392, 236, 104, 62, 0, 2], [0, 14, 25, 137, 284, 224, 518, 110, 188, 26, 9, 1], [0, 14, 25, 138, 276, 252, 462, 180, 132, 54, 1, 2], [0, 14, 26, 129, 312, 168, 588, 54, 216, 18, 10, 1], [0, 14, 26, 130, 304, 196, 532, 124, 160, 46, 2, 2], [0, 14, 27, 122, 332, 140, 602, 68, 188, 38, 3, 2], [0, 14, 28, 114, 360, 84, 672, 12, 216, 30, 4, 2], [0, 15, 10, 220, 40, 658, 28, 460, 40, 55, 10, 0], [0, 15, 11, 212, 68, 602, 98, 404, 68, 47, 11, 0], [0, 15, 11, 213, 60, 630, 42, 474, 12, 75, 3, 1], [0, 15, 12, 204, 96, 546, 168, 348, 96, 39, 12, 0], [0, 15, 12, 205, 88, 574, 112, 418, 40, 67, 4, 1], [0, 15, 13, 196, 124, 490, 238, 292, 124, 31, 13, 0], [0, 15, 13, 197, 116, 518, 182, 362, 68, 59, 5, 1], [0, 15, 14, 188, 152, 434, 308, 236, 152, 23, 14, 0], [0, 15, 14, 189, 144, 462, 252, 306, 96, 51, 6, 1], [0, 15, 15, 180, 180, 378, 378, 180, 180, 15, 15, 0], [0, 15, 15, 181, 172, 406, 322, 250, 124, 43, 7, 1], [0, 15, 16, 172, 208, 322, 448, 124, 208, 7, 16, 0], [0, 15, 16, 173, 200, 350, 392, 194, 152, 35, 8, 1], [0, 15, 16, 174, 192, 378, 336, 264, 96, 63, 0, 2], [0, 15, 17, 165, 228, 294, 462, 138, 180, 27, 9, 1], [0, 15, 17, 166, 220, 322, 406, 208, 124, 55, 1, 2], [0, 15, 18, 157, 256, 238, 532, 82, 208, 19, 10, 1], [0, 15, 18, 158, 248, 266, 476, 152, 152, 47, 2, 2], [0, 15, 19, 149, 284, 182, 602, 26, 236, 11, 11, 1], [0, 15, 19, 150, 276, 210, 546, 96, 180, 39, 3, 2], [0, 15, 20, 142, 304, 154, 616, 40, 208, 31, 4, 2], [0, 16, 3, 240, 12, 672, 42, 432, 60, 48, 11, 0], [0, 16, 4, 232, 40, 616, 112, 376, 88, 40, 12, 0], [0, 16, 4, 233, 32, 644, 56, 446, 32, 68, 4, 1], [0, 16, 5, 224, 68, 560, 182, 320, 116, 32, 13, 0], [0, 16, 5, 225, 60, 588, 126, 390, 60, 60, 5, 1], [0, 16, 6, 216, 96, 504, 252, 264, 144, 24, 14, 0], [0, 16, 6, 217, 88, 532, 196, 334, 88, 52, 6, 1], [0, 16, 7, 208, 124, 448, 322, 208, 172, 16, 15, 0], [0, 16, 7, 209, 116, 476, 266, 278, 116, 44, 7, 1], [0, 16, 8, 200, 152, 392, 392, 152, 200, 8, 16, 0], [0, 16, 8, 201, 144, 420, 336, 222, 144, 36, 8, 1], [0, 16, 8, 202, 136, 448, 280, 292, 88, 64, 0, 2], [0, 16, 9, 192, 180, 336, 462, 96, 228, 0, 17, 0], [0, 16, 9, 193, 172, 364, 406, 166, 172, 28, 9, 1], [0, 16, 9, 194, 164, 392, 350, 236, 116, 56, 1, 2], [0, 16, 10, 185, 200, 308, 476, 110, 200, 20, 10, 1], [0, 16, 10, 186, 192, 336, 420, 180, 144, 48, 2, 2], [0, 16, 11, 177, 228, 252, 546, 54, 228, 12, 11, 1], [0, 16, 11, 178, 220, 280, 490, 124, 172, 40, 3, 2], [0, 16, 12, 170, 248, 224, 560, 68, 200, 32, 4, 2], [0, 16, 13, 162, 276, 168, 630, 12, 228, 24, 5, 2], [0, 17, 0, 228, 96, 462, 336, 180, 192, 9, 16, 0], [0, 17, 0, 229, 88, 490, 280, 250, 136, 37, 8, 1], [0, 17, 0, 230, 80, 518, 224, 320, 80, 65, 0, 2], [0, 17, 1, 220, 124, 406, 406, 124, 220, 1, 17, 0], [0, 17, 1, 221, 116, 434, 350, 194, 164, 29, 9, 1], [0, 17, 1, 222, 108, 462, 294, 264, 108, 57, 1, 2], [0, 17, 2, 213, 144, 378, 420, 138, 192, 21, 10, 1], [0, 17, 2, 214, 136, 406, 364, 208, 136, 49, 2, 2], [0, 17, 3, 205, 172, 322, 490, 82, 220, 13, 11, 1], [0, 17, 3, 206, 164, 350, 434, 152, 164, 41, 3, 2], [0, 17, 4, 197, 200, 266, 560, 26, 248, 5, 12, 1], [0, 17, 4, 198, 192, 294, 504, 96, 192, 33, 4, 2], [0, 17, 5, 190, 220, 238, 574, 40, 220, 25, 5, 2]}
(12, 1536, 7) has 844 possible DDs: {[0, 0, 58, 16, 184, 496, 28, 496, 184, 16, 58, 0, 0], [0, 0, 59, 8, 212, 440, 98, 440, 212, 8, 59, 0, 0], [0, 0, 59, 9, 204, 468, 42, 510, 156, 36, 51, 1, 0], [0, 0, 60, 0, 240, 384, 168, 384, 240, 0, 60, 0, 0], [0, 0, 60, 1, 232, 412, 112, 454, 184, 28, 52, 1, 0], [0, 0, 60, 2, 224, 440, 56, 524, 128, 56, 44, 2, 0], [0, 0, 60, 3, 216, 468, 0, 594, 72, 84, 36, 3, 0], [0, 1, 51, 36, 156, 510, 42, 468, 204, 9, 59, 0, 0], [0, 1, 52, 28, 184, 454, 112, 412, 232, 1, 60, 0, 0], [0, 1, 52, 29, 176, 482, 56, 482, 176, 29, 52, 1, 0], [0, 1, 52, 30, 168, 510, 0, 552, 120, 57, 44, 2, 0], [0, 1, 53, 21, 204, 426, 126, 426, 204, 21, 53, 1, 0], [0, 1, 53, 22, 196, 454, 70, 496, 148, 49, 45, 2, 0], [0, 1, 53, 23, 188, 482, 14, 566, 92, 77, 37, 3, 0], [0, 1, 54, 13, 232, 370, 196, 370, 232, 13, 54, 1, 0], [0, 1, 54, 14, 224, 398, 140, 440, 176, 41, 46, 2, 0], [0, 1, 54, 15, 216, 426, 84, 510, 120, 69, 38, 3, 0], [0, 1, 54, 16, 208, 454, 28, 580, 64, 97, 30, 4, 0], [0, 1, 55, 5, 260, 314, 266, 314, 260, 5, 55, 1, 0], [0, 1, 55, 6, 252, 342, 210, 384, 204, 33, 47, 2, 0], [0, 1, 55, 7, 244, 370, 154, 454, 148, 61, 39, 3, 0], [0, 1, 55, 8, 236, 398, 98, 524, 92, 89, 31, 4, 0], [0, 1, 55, 9, 228, 426, 42, 594, 36, 117, 23, 5, 0], [0, 1, 56, 0, 264, 342, 168, 468, 120, 81, 32, 4, 0], [0, 1, 56, 1, 256, 370, 112, 538, 64, 109, 24, 5, 0], [0, 1, 56, 2, 248, 398, 56, 608, 8, 137, 16, 6, 0], [0, 2, 44, 56, 128, 524, 56, 440, 224, 2, 60, 0, 0], [0, 2, 44, 57, 120, 552, 0, 510, 168, 30, 52, 1, 0], [0, 2, 45, 49, 148, 496, 70, 454, 196, 22, 53, 1, 0], [0, 2, 45, 50, 140, 524, 14, 524, 140, 50, 45, 2, 0], [0, 2, 46, 41, 176, 440, 140, 398, 224, 14, 54, 1, 0], [0, 2, 46, 42, 168, 468, 84, 468, 168, 42, 46, 2, 0], [0, 2, 46, 43, 160, 496, 28, 538, 112, 70, 38, 3, 0], [0, 2, 47, 33, 204, 384, 210, 342, 252, 6, 55, 1, 0], [0, 2, 47, 34, 196, 412, 154, 412, 196, 34, 47, 2, 0], [0, 2, 47, 35, 188, 440, 98, 482, 140, 62, 39, 3, 0], [0, 2, 47, 36, 180, 468, 42, 552, 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