-------
(12, 1024, 7) ALL distance distributions for INTERNAL point
(7, 1024, 7) has 1 possible DDs: {[8, 56, 168, 280, 280, 168, 56, 8]}
(8, 1024, 7) has 8 possible DDs: {[1, 56, 28, 392, 70, 392, 28, 56, 1], [2, 48, 56, 336, 140, 336, 56, 48, 2], [3, 40, 84, 280, 210, 280, 84, 40, 3], [4, 32, 112, 224, 280, 224, 112, 32, 4], [5, 24, 140, 168, 350, 168, 140, 24, 5], [6, 16, 168, 112, 420, 112, 168, 16, 6], [7, 8, 196, 56, 490, 56, 196, 8, 7], [8, 0, 224, 0, 560, 0, 224, 0, 8]}
(9, 1024, 7) has 20 possible DDs: {[1, 24, 60, 168, 294, 168, 252, 24, 33, 0], [1, 25, 52, 196, 238, 238, 196, 52, 25, 1], [1, 26, 44, 224, 182, 308, 140, 80, 17, 2], [1, 27, 36, 252, 126, 378, 84, 108, 9, 3], [1, 28, 28, 280, 70, 448, 28, 136, 1, 4], [2, 16, 88, 112, 364, 112, 280, 16, 34, 0], [2, 17, 80, 140, 308, 182, 224, 44, 26, 1], [2, 18, 72, 168, 252, 252, 168, 72, 18, 2], [2, 19, 64, 196, 196, 322, 112, 100, 10, 3], [2, 20, 56, 224, 140, 392, 56, 128, 2, 4], [3, 8, 116, 56, 434, 56, 308, 8, 35, 0], [3, 9, 108, 84, 378, 126, 252, 36, 27, 1], [3, 10, 100, 112, 322, 196, 196, 64, 19, 2], [3, 11, 92, 140, 266, 266, 140, 92, 11, 3], [3, 12, 84, 168, 210, 336, 84, 120, 3, 4], [4, 0, 144, 0, 504, 0, 336, 0, 36, 0], [4, 1, 136, 28, 448, 70, 280, 28, 28, 1], [4, 2, 128, 56, 392, 140, 224, 56, 20, 2], [4, 3, 120, 84, 336, 210, 168, 84, 12, 3], [4, 4, 112, 112, 280, 280, 112, 112, 4, 4]}
(10, 1024, 7) has 45 possible DDs: {[1, 6, 76, 16, 406, 28, 364, 64, 49, 14, 0], [1, 7, 68, 44, 350, 98, 308, 92, 41, 15, 0], [1, 7, 69, 36, 378, 42, 378, 36, 69, 7, 1], [1, 8, 60, 72, 294, 168, 252, 120, 33, 16, 0], [1, 8, 61, 64, 322, 112, 322, 64, 61, 8, 1], [1, 8, 62, 56, 350, 56, 392, 8, 89, 0, 2], [1, 9, 52, 100, 238, 238, 196, 148, 25, 17, 0], [1, 9, 53, 92, 266, 182, 266, 92, 53, 9, 1], [1, 9, 54, 84, 294, 126, 336, 36, 81, 1, 2], [1, 10, 44, 128, 182, 308, 140, 176, 17, 18, 0], [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1], [1, 10, 46, 112, 238, 196, 280, 64, 73, 2, 2], [1, 11, 36, 156, 126, 378, 84, 204, 9, 19, 0], [1, 11, 37, 148, 154, 322, 154, 148, 37, 11, 1], [1, 11, 38, 140, 182, 266, 224, 92, 65, 3, 2], [1, 12, 28, 184, 70, 448, 28, 232, 1, 20, 0], [1, 12, 29, 176, 98, 392, 98, 176, 29, 12, 1], [1, 12, 30, 168, 126, 336, 168, 120, 57, 4, 2], [1, 13, 21, 204, 42, 462, 42, 204, 21, 13, 1], [1, 13, 22, 196, 70, 406, 112, 148, 49, 5, 2], [1, 14, 14, 224, 14, 476, 56, 176, 41, 6, 2], [2, 0, 88, 16, 364, 112, 280, 112, 34, 16, 0], [2, 0, 89, 8, 392, 56, 350, 56, 62, 8, 1], [2, 0, 90, 0, 420, 0, 420, 0, 90, 0, 2], [2, 1, 80, 44, 308, 182, 224, 140, 26, 17, 0], [2, 1, 81, 36, 336, 126, 294, 84, 54, 9, 1], [2, 1, 82, 28, 364, 70, 364, 28, 82, 1, 2], [2, 2, 72, 72, 252, 252, 168, 168, 18, 18, 0], [2, 2, 73, 64, 280, 196, 238, 112, 46, 10, 1], [2, 2, 74, 56, 308, 140, 308, 56, 74, 2, 2], [2, 3, 64, 100, 196, 322, 112, 196, 10, 19, 0], [2, 3, 65, 92, 224, 266, 182, 140, 38, 11, 1], [2, 3, 66, 84, 252, 210, 252, 84, 66, 3, 2], [2, 4, 56, 128, 140, 392, 56, 224, 2, 20, 0], [2, 4, 57, 120, 168, 336, 126, 168, 30, 12, 1], [2, 4, 58, 112, 196, 280, 196, 112, 58, 4, 2], [2, 5, 49, 148, 112, 406, 70, 196, 22, 13, 1], [2, 5, 50, 140, 140, 350, 140, 140, 50, 5, 2], [2, 6, 41, 176, 56, 476, 14, 224, 14, 14, 1], [2, 6, 42, 168, 84, 420, 84, 168, 42, 6, 2], [2, 7, 34, 196, 28, 490, 28, 196, 34, 7, 2], [2, 8, 27, 216, 0, 504, 42, 168, 54, 0, 3], [3, 0, 54, 168, 42, 504, 0, 216, 27, 8, 2], [3, 0, 55, 160, 70, 448, 70, 160, 55, 0, 3], [3, 1, 47, 188, 14, 518, 14, 188, 47, 1, 3]}
(11, 1024, 7) has 80 possible DDs: {[1, 0, 50, 40, 190, 280, 112, 280, 25, 40, 6, 0], [1, 0, 51, 32, 218, 224, 182, 224, 53, 32, 7, 0], [1, 0, 52, 24, 246, 168, 252, 168, 81, 24, 8, 0], [1, 0, 52, 25, 238, 196, 196, 238, 25, 52, 0, 1], [1, 0, 53, 16, 274, 112, 322, 112, 109, 16, 9, 0], [1, 0, 53, 17, 266, 140, 266, 182, 53, 44, 1, 1], [1, 0, 54, 8, 302, 56, 392, 56, 137, 8, 10, 0], [1, 0, 54, 9, 294, 84, 336, 126, 81, 36, 2, 1], [1, 0, 55, 0, 330, 0, 462, 0, 165, 0, 11, 0], [1, 0, 55, 1, 322, 28, 406, 70, 109, 28, 3, 1], [1, 1, 42, 68, 134, 350, 56, 308, 17, 41, 6, 0], [1, 1, 43, 60, 162, 294, 126, 252, 45, 33, 7, 0], [1, 1, 44, 52, 190, 238, 196, 196, 73, 25, 8, 0], [1, 1, 44, 53, 182, 266, 140, 266, 17, 53, 0, 1], [1, 1, 45, 44, 218, 182, 266, 140, 101, 17, 9, 0], [1, 1, 45, 45, 210, 210, 210, 210, 45, 45, 1, 1], [1, 1, 46, 36, 246, 126, 336, 84, 129, 9, 10, 0], [1, 1, 46, 37, 238, 154, 280, 154, 73, 37, 2, 1], [1, 1, 47, 28, 274, 70, 406, 28, 157, 1, 11, 0], [1, 1, 47, 29, 266, 98, 350, 98, 101, 29, 3, 1], [1, 1, 48, 21, 294, 42, 420, 42, 129, 21, 4, 1], [1, 2, 34, 96, 78, 420, 0, 336, 9, 42, 6, 0], [1, 2, 35, 88, 106, 364, 70, 280, 37, 34, 7, 0], [1, 2, 36, 80, 134, 308, 140, 224, 65, 26, 8, 0], [1, 2, 36, 81, 126, 336, 84, 294, 9, 54, 0, 1], [1, 2, 37, 72, 162, 252, 210, 168, 93, 18, 9, 0], [1, 2, 37, 73, 154, 280, 154, 238, 37, 46, 1, 1], [1, 2, 38, 64, 190, 196, 280, 112, 121, 10, 10, 0], [1, 2, 38, 65, 182, 224, 224, 182, 65, 38, 2, 1], [1, 2, 39, 56, 218, 140, 350, 56, 149, 2, 11, 0], [1, 2, 39, 57, 210, 168, 294, 126, 93, 30, 3, 1], [1, 2, 40, 49, 238, 112, 364, 70, 121, 22, 4, 1], [1, 2, 41, 41, 266, 56, 434, 14, 149, 14, 5, 1], [1, 3, 27, 116, 50, 434, 14, 308, 29, 35, 7, 0], [1, 3, 28, 108, 78, 378, 84, 252, 57, 27, 8, 0], [1, 3, 28, 109, 70, 406, 28, 322, 1, 55, 0, 1], [1, 3, 29, 100, 106, 322, 154, 196, 85, 19, 9, 0], [1, 3, 29, 101, 98, 350, 98, 266, 29, 47, 1, 1], [1, 3, 30, 92, 134, 266, 224, 140, 113, 11, 10, 0], [1, 3, 30, 93, 126, 294, 168, 210, 57, 39, 2, 1], [1, 3, 31, 84, 162, 210, 294, 84, 141, 3, 11, 0], [1, 3, 31, 85, 154, 238, 238, 154, 85, 31, 3, 1], [1, 3, 32, 77, 182, 182, 308, 98, 113, 23, 4, 1], [1, 3, 33, 69, 210, 126, 378, 42, 141, 15, 5, 1], [1, 4, 20, 136, 22, 448, 28, 280, 49, 28, 8, 0], [1, 4, 21, 128, 50, 392, 98, 224, 77, 20, 9, 0], [1, 4, 21, 129, 42, 420, 42, 294, 21, 48, 1, 1], [1, 4, 22, 120, 78, 336, 168, 168, 105, 12, 10, 0], [1, 4, 22, 121, 70, 364, 112, 238, 49, 40, 2, 1], [1, 4, 23, 112, 106, 280, 238, 112, 133, 4, 11, 0], [1, 4, 23, 113, 98, 308, 182, 182, 77, 32, 3, 1], [1, 4, 24, 105, 126, 252, 252, 126, 105, 24, 4, 1], [1, 4, 25, 97, 154, 196, 322, 70, 133, 16, 5, 1], [1, 4, 26, 89, 182, 140, 392, 14, 161, 8, 6, 1], [1, 5, 14, 148, 22, 406, 112, 196, 97, 13, 10, 0], [1, 5, 14, 149, 14, 434, 56, 266, 41, 41, 2, 1], [1, 5, 15, 140, 50, 350, 182, 140, 125, 5, 11, 0], [1, 5, 15, 141, 42, 378, 126, 210, 69, 33, 3, 1], [1, 5, 16, 133, 70, 322, 196, 154, 97, 25, 4, 1], [1, 5, 17, 125, 98, 266, 266, 98, 125, 17, 5, 1], [1, 5, 18, 117, 126, 210, 336, 42, 153, 9, 6, 1], [1, 5, 20, 102, 174, 126, 420, 0, 153, 21, 0, 2], [1, 6, 8, 161, 14, 392, 140, 182, 89, 26, 4, 1], [1, 6, 9, 153, 42, 336, 210, 126, 117, 18, 5, 1], [1, 6, 10, 145, 70, 280, 280, 70, 145, 10, 6, 1], [1, 6, 11, 137, 98, 224, 350, 14, 173, 2, 7, 1], [1, 6, 12, 130, 118, 196, 364, 28, 145, 22, 0, 2], [1, 7, 2, 173, 14, 350, 224, 98, 137, 11, 6, 1], [1, 7, 3, 165, 42, 294, 294, 42, 165, 3, 7, 1], [1, 7, 4, 158, 62, 266, 308, 56, 137, 23, 0, 2], [1, 7, 5, 150, 90, 210, 378, 0, 165, 15, 1, 2], [2, 0, 21, 153, 0, 420, 126, 174, 102, 20, 5, 1], [2, 0, 22, 145, 28, 364, 196, 118, 130, 12, 6, 1], [2, 0, 23, 137, 56, 308, 266, 62, 158, 4, 7, 1], [2, 0, 24, 130, 76, 280, 280, 76, 130, 24, 0, 2], [2, 0, 25, 122, 104, 224, 350, 20, 158, 16, 1, 2], [2, 1, 15, 165, 0, 378, 210, 90, 150, 5, 7, 1], [2, 1, 16, 158, 20, 350, 224, 104, 122, 25, 0, 2], [2, 1, 17, 150, 48, 294, 294, 48, 150, 17, 1, 2], [2, 2, 10, 170, 20, 308, 308, 20, 170, 10, 2, 2]}
(12, 1024, 7) has 103 possible DDs: {[1, 0, 13, 99, 10, 340, 154, 178, 181, 20, 25, 3, 0], [1, 0, 13, 100, 2, 368, 98, 248, 125, 48, 17, 4, 0], [1, 0, 14, 91, 38, 284, 224, 122, 209, 12, 26, 3, 0], [1, 0, 14, 92, 30, 312, 168, 192, 153, 40, 18, 4, 0], [1, 0, 14, 93, 22, 340, 112, 262, 97, 68, 10, 5, 0], [1, 0, 14, 94, 14, 368, 56, 332, 41, 96, 2, 6, 0], [1, 0, 15, 83, 66, 228, 294, 66, 237, 4, 27, 3, 0], [1, 0, 15, 84, 58, 256, 238, 136, 181, 32, 19, 4, 0], [1, 0, 15, 85, 50, 284, 182, 206, 125, 60, 11, 5, 0], [1, 0, 15, 86, 42, 312, 126, 276, 69, 88, 3, 6, 0], [1, 0, 15, 88, 27, 360, 42, 360, 27, 88, 15, 0, 1], [1, 0, 16, 76, 86, 200, 308, 80, 209, 24, 20, 4, 0], [1, 0, 16, 77, 78, 228, 252, 150, 153, 52, 12, 5, 0], [1, 0, 16, 78, 70, 256, 196, 220, 97, 80, 4, 6, 0], [1, 0, 16, 80, 55, 304, 112, 304, 55, 80, 16, 0, 1], [1, 0, 17, 68, 114, 144, 378, 24, 237, 16, 21, 4, 0], [1, 0, 17, 69, 106, 172, 322, 94, 181, 44, 13, 5, 0], [1, 0, 17, 70, 98, 200, 266, 164, 125, 72, 5, 6, 0], [1, 0, 17, 72, 83, 248, 182, 248, 83, 72, 17, 0, 1], [1, 0, 17, 73, 75, 276, 126, 318, 27, 100, 9, 1, 1], [1, 0, 18, 61, 134, 116, 392, 38, 209, 36, 14, 5, 0], [1, 0, 18, 62, 126, 144, 336, 108, 153, 64, 6, 6, 0], [1, 0, 18, 64, 111, 192, 252, 192, 111, 64, 18, 0, 1], [1, 0, 18, 65, 103, 220, 196, 262, 55, 92, 10, 1, 1], [1, 0, 19, 54, 154, 88, 406, 52, 181, 56, 7, 6, 0], [1, 0, 19, 56, 139, 136, 322, 136, 139, 56, 19, 0, 1], [1, 0, 19, 57, 131, 164, 266, 206, 83, 84, 11, 1, 1], [1, 0, 19, 58, 123, 192, 210, 276, 27, 112, 3, 2, 1], [1, 0, 20, 47, 174, 60, 420, 66, 153, 76, 0, 7, 0], [1, 0, 20, 48, 167, 80, 392, 80, 167, 48, 20, 0, 1], [1, 0, 20, 49, 159, 108, 336, 150, 111, 76, 12, 1, 1], [1, 0, 20, 50, 151, 136, 280, 220, 55, 104, 4, 2, 1], [1, 0, 21, 39, 202, 4, 490, 10, 181, 68, 1, 7, 0], [1, 0, 21, 40, 195, 24, 462, 24, 195, 40, 21, 0, 1], [1, 0, 21, 41, 187, 52, 406, 94, 139, 68, 13, 1, 1], [1, 0, 21, 42, 179, 80, 350, 164, 83, 96, 5, 2, 1], [1, 0, 22, 34, 207, 24, 420, 108, 111, 88, 6, 2, 1], [1, 1, 7, 111, 10, 298, 238, 94, 229, 5, 27, 3, 0], [1, 1, 7, 112, 2, 326, 182, 164, 173, 33, 19, 4, 0], [1, 1, 8, 104, 30, 270, 252, 108, 201, 25, 20, 4, 0], [1, 1, 8, 105, 22, 298, 196, 178, 145, 53, 12, 5, 0], [1, 1, 8, 106, 14, 326, 140, 248, 89, 81, 4, 6, 0], [1, 1, 9, 96, 58, 214, 322, 52, 229, 17, 21, 4, 0], [1, 1, 9, 97, 50, 242, 266, 122, 173, 45, 13, 5, 0], [1, 1, 9, 98, 42, 270, 210, 192, 117, 73, 5, 6, 0], [1, 1, 9, 100, 27, 318, 126, 276, 75, 73, 17, 0, 1], [1, 1, 9, 101, 19, 346, 70, 346, 19, 101, 9, 1, 1], [1, 1, 10, 89, 78, 186, 336, 66, 201, 37, 14, 5, 0], [1, 1, 10, 90, 70, 214, 280, 136, 145, 65, 6, 6, 0], [1, 1, 10, 92, 55, 262, 196, 220, 103, 65, 18, 0, 1], [1, 1, 10, 93, 47, 290, 140, 290, 47, 93, 10, 1, 1], [1, 1, 11, 81, 106, 130, 406, 10, 229, 29, 15, 5, 0], [1, 1, 11, 82, 98, 158, 350, 80, 173, 57, 7, 6, 0], [1, 1, 11, 84, 83, 206, 266, 164, 131, 57, 19, 0, 1], [1, 1, 11, 85, 75, 234, 210, 234, 75, 85, 11, 1, 1], [1, 1, 11, 86, 67, 262, 154, 304, 19, 113, 3, 2, 1], [1, 1, 12, 74, 126, 102, 420, 24, 201, 49, 8, 6, 0], [1, 1, 12, 75, 118, 130, 364, 94, 145, 77, 0, 7, 0], [1, 1, 12, 76, 111, 150, 336, 108, 159, 49, 20, 0, 1], [1, 1, 12, 77, 103, 178, 280, 178, 103, 77, 12, 1, 1], [1, 1, 12, 78, 95, 206, 224, 248, 47, 105, 4, 2, 1], [1, 1, 13, 67, 146, 74, 434, 38, 173, 69, 1, 7, 0], [1, 1, 13, 68, 139, 94, 406, 52, 187, 41, 21, 0, 1], [1, 1, 13, 69, 131, 122, 350, 122, 131, 69, 13, 1, 1], [1, 1, 13, 70, 123, 150, 294, 192, 75, 97, 5, 2, 1], [1, 1, 14, 61, 159, 66, 420, 66, 159, 61, 14, 1, 1], [1, 1, 14, 62, 151, 94, 364, 136, 103, 89, 6, 2, 1], [1, 1, 15, 53, 187, 10, 490, 10, 187, 53, 15, 1, 1], [1, 1, 15, 54, 179, 38, 434, 80, 131, 81, 7, 2, 1], [1, 1, 16, 47, 199, 10, 448, 94, 103, 101, 0, 3, 1], [1, 2, 1, 124, 2, 284, 266, 80, 221, 18, 21, 4, 0], [1, 2, 2, 116, 30, 228, 336, 24, 249, 10, 22, 4, 0], [1, 2, 2, 117, 22, 256, 280, 94, 193, 38, 14, 5, 0], [1, 2, 2, 118, 14, 284, 224, 164, 137, 66, 6, 6, 0], [1, 2, 3, 109, 50, 200, 350, 38, 221, 30, 15, 5, 0], [1, 2, 3, 110, 42, 228, 294, 108, 165, 58, 7, 6, 0], [1, 2, 3, 112, 27, 276, 210, 192, 123, 58, 19, 0, 1], [1, 2, 3, 113, 19, 304, 154, 262, 67, 86, 11, 1, 1], [1, 2, 3, 114, 11, 332, 98, 332, 11, 114, 3, 2, 1], [1, 2, 4, 102, 70, 172, 364, 52, 193, 50, 8, 6, 0], [1, 2, 4, 103, 62, 200, 308, 122, 137, 78, 0, 7, 0], [1, 2, 4, 104, 55, 220, 280, 136, 151, 50, 20, 0, 1], [1, 2, 4, 105, 47, 248, 224, 206, 95, 78, 12, 1, 1], [1, 2, 4, 106, 39, 276, 168, 276, 39, 106, 4, 2, 1], [1, 2, 5, 95, 90, 144, 378, 66, 165, 70, 1, 7, 0], [1, 2, 5, 96, 83, 164, 350, 80, 179, 42, 21, 0, 1], [1, 2, 5, 97, 75, 192, 294, 150, 123, 70, 13, 1, 1], [1, 2, 5, 98, 67, 220, 238, 220, 67, 98, 5, 2, 1], [1, 2, 6, 87, 118, 88, 448, 10, 193, 62, 2, 7, 0], [1, 2, 6, 88, 111, 108, 420, 24, 207, 34, 22, 0, 1], [1, 2, 6, 89, 103, 136, 364, 94, 151, 62, 14, 1, 1], [1, 2, 6, 90, 95, 164, 308, 164, 95, 90, 6, 2, 1], [1, 2, 7, 81, 131, 80, 434, 38, 179, 54, 15, 1, 1], [1, 2, 7, 82, 123, 108, 378, 108, 123, 82, 7, 2, 1], [1, 2, 8, 74, 151, 52, 448, 52, 151, 74, 8, 2, 1], [1, 2, 8, 75, 143, 80, 392, 122, 95, 102, 0, 3, 1], [1, 2, 9, 67, 171, 24, 462, 66, 123, 94, 1, 3, 1], [1, 3, 0, 101, 103, 94, 448, 10, 199, 47, 16, 1, 1], [1, 3, 0, 102, 95, 122, 392, 80, 143, 75, 8, 2, 1], [1, 3, 0, 103, 87, 150, 336, 150, 87, 103, 0, 3, 1], [1, 3, 1, 94, 123, 66, 462, 24, 171, 67, 9, 2, 1], [1, 3, 1, 95, 115, 94, 406, 94, 115, 95, 1, 3, 1], [1, 3, 2, 87, 143, 38, 476, 38, 143, 87, 2, 3, 1]}