-------
(10, 512, 5) ALL distance distributions for INTERNAL point
(5, 512, 5) has 1 possible DDs: {[16, 80, 160, 160, 80, 16]}
(6, 512, 5) has 16 possible DDs: {[1, 90, 15, 300, 15, 90, 1], [2, 84, 30, 280, 30, 84, 2], [3, 78, 45, 260, 45, 78, 3], [4, 72, 60, 240, 60, 72, 4], [5, 66, 75, 220, 75, 66, 5], [6, 60, 90, 200, 90, 60, 6], [7, 54, 105, 180, 105, 54, 7], [8, 48, 120, 160, 120, 48, 8], [9, 42, 135, 140, 135, 42, 9], [10, 36, 150, 120, 150, 36, 10], [11, 30, 165, 100, 165, 30, 11], [12, 24, 180, 80, 180, 24, 12], [13, 18, 195, 60, 195, 18, 13], [14, 12, 210, 40, 210, 12, 14], [15, 6, 225, 20, 225, 6, 15], [16, 0, 240, 0, 240, 0, 16]}
(7, 512, 5) has 79 possible DDs: {[1, 42, 63, 140, 175, 42, 49, 0], [1, 43, 57, 155, 155, 57, 43, 1], [1, 44, 51, 170, 135, 72, 37, 2], [1, 45, 45, 185, 115, 87, 31, 3], [1, 46, 39, 200, 95, 102, 25, 4], [1, 47, 33, 215, 75, 117, 19, 5], [1, 48, 27, 230, 55, 132, 13, 6], [1, 49, 21, 245, 35, 147, 7, 7], [1, 50, 15, 260, 15, 162, 1, 8], [2, 36, 78, 120, 190, 36, 50, 0], [2, 37, 72, 135, 170, 51, 44, 1], [2, 38, 66, 150, 150, 66, 38, 2], [2, 39, 60, 165, 130, 81, 32, 3], [2, 40, 54, 180, 110, 96, 26, 4], [2, 41, 48, 195, 90, 111, 20, 5], [2, 42, 42, 210, 70, 126, 14, 6], [2, 43, 36, 225, 50, 141, 8, 7], [2, 44, 30, 240, 30, 156, 2, 8], [3, 30, 93, 100, 205, 30, 51, 0], [3, 31, 87, 115, 185, 45, 45, 1], [3, 32, 81, 130, 165, 60, 39, 2], [3, 33, 75, 145, 145, 75, 33, 3], [3, 34, 69, 160, 125, 90, 27, 4], [3, 35, 63, 175, 105, 105, 21, 5], [3, 36, 57, 190, 85, 120, 15, 6], [3, 37, 51, 205, 65, 135, 9, 7], [3, 38, 45, 220, 45, 150, 3, 8], [4, 24, 108, 80, 220, 24, 52, 0], [4, 25, 102, 95, 200, 39, 46, 1], [4, 26, 96, 110, 180, 54, 40, 2], [4, 27, 90, 125, 160, 69, 34, 3], [4, 28, 84, 140, 140, 84, 28, 4], [4, 29, 78, 155, 120, 99, 22, 5], [4, 30, 72, 170, 100, 114, 16, 6], [4, 31, 66, 185, 80, 129, 10, 7], [4, 32, 60, 200, 60, 144, 4, 8], [5, 18, 123, 60, 235, 18, 53, 0], [5, 19, 117, 75, 215, 33, 47, 1], [5, 20, 111, 90, 195, 48, 41, 2], [5, 21, 105, 105, 175, 63, 35, 3], [5, 22, 99, 120, 155, 78, 29, 4], [5, 23, 93, 135, 135, 93, 23, 5], [5, 24, 87, 150, 115, 108, 17, 6], [5, 25, 81, 165, 95, 123, 11, 7], [5, 26, 75, 180, 75, 138, 5, 8], [6, 12, 138, 40, 250, 12, 54, 0], [6, 13, 132, 55, 230, 27, 48, 1], [6, 14, 126, 70, 210, 42, 42, 2], [6, 15, 120, 85, 190, 57, 36, 3], [6, 16, 114, 100, 170, 72, 30, 4], [6, 17, 108, 115, 150, 87, 24, 5], [6, 18, 102, 130, 130, 102, 18, 6], [6, 19, 96, 145, 110, 117, 12, 7], [6, 20, 90, 160, 90, 132, 6, 8], [6, 21, 84, 175, 70, 147, 0, 9], [7, 6, 153, 20, 265, 6, 55, 0], [7, 7, 147, 35, 245, 21, 49, 1], [7, 8, 141, 50, 225, 36, 43, 2], [7, 9, 135, 65, 205, 51, 37, 3], [7, 10, 129, 80, 185, 66, 31, 4], [7, 11, 123, 95, 165, 81, 25, 5], [7, 12, 117, 110, 145, 96, 19, 6], [7, 13, 111, 125, 125, 111, 13, 7], [7, 14, 105, 140, 105, 126, 7, 8], [7, 15, 99, 155, 85, 141, 1, 9], [8, 0, 168, 0, 280, 0, 56, 0], [8, 1, 162, 15, 260, 15, 50, 1], [8, 2, 156, 30, 240, 30, 44, 2], [8, 3, 150, 45, 220, 45, 38, 3], [8, 4, 144, 60, 200, 60, 32, 4], [8, 5, 138, 75, 180, 75, 26, 5], [8, 6, 132, 90, 160, 90, 20, 6], [8, 7, 126, 105, 140, 105, 14, 7], [8, 8, 120, 120, 120, 120, 8, 8], [8, 9, 114, 135, 100, 135, 2, 9], [9, 0, 147, 70, 175, 84, 21, 6], [9, 1, 141, 85, 155, 99, 15, 7], [9, 2, 135, 100, 135, 114, 9, 8], [9, 3, 129, 115, 115, 129, 3, 9]}
(8, 512, 5) has 382 possible DDs: {[1, 13, 93, 9, 275, 23, 79, 19, 0], [1, 13, 94, 3, 290, 3, 94, 13, 1], [1, 14, 87, 24, 255, 38, 73, 20, 0], [1, 14, 88, 18, 270, 18, 88, 14, 1], [1, 15, 81, 39, 235, 53, 67, 21, 0], [1, 15, 82, 33, 250, 33, 82, 15, 1], [1, 15, 83, 27, 265, 13, 97, 9, 2], [1, 16, 75, 54, 215, 68, 61, 22, 0], [1, 16, 76, 48, 230, 48, 76, 16, 1], [1, 16, 77, 42, 245, 28, 91, 10, 2], [1, 16, 78, 36, 260, 8, 106, 4, 3], [1, 17, 69, 69, 195, 83, 55, 23, 0], [1, 17, 70, 63, 210, 63, 70, 17, 1], [1, 17, 71, 57, 225, 43, 85, 11, 2], [1, 17, 72, 51, 240, 23, 100, 5, 3], [1, 18, 63, 84, 175, 98, 49, 24, 0], [1, 18, 64, 78, 190, 78, 64, 18, 1], [1, 18, 65, 72, 205, 58, 79, 12, 2], [1, 18, 66, 66, 220, 38, 94, 6, 3], [1, 18, 67, 60, 235, 18, 109, 0, 4], [1, 19, 57, 99, 155, 113, 43, 25, 0], [1, 19, 58, 93, 170, 93, 58, 19, 1], [1, 19, 59, 87, 185, 73, 73, 13, 2], [1, 19, 60, 81, 200, 53, 88, 7, 3], [1, 19, 61, 75, 215, 33, 103, 1, 4], [1, 20, 51, 114, 135, 128, 37, 26, 0], [1, 20, 52, 108, 150, 108, 52, 20, 1], [1, 20, 53, 102, 165, 88, 67, 14, 2], [1, 20, 54, 96, 180, 68, 82, 8, 3], [1, 20, 55, 90, 195, 48, 97, 2, 4], [1, 21, 45, 129, 115, 143, 31, 27, 0], [1, 21, 46, 123, 130, 123, 46, 21, 1], [1, 21, 47, 117, 145, 103, 61, 15, 2], [1, 21, 48, 111, 160, 83, 76, 9, 3], [1, 21, 49, 105, 175, 63, 91, 3, 4], [1, 22, 39, 144, 95, 158, 25, 28, 0], [1, 22, 40, 138, 110, 138, 40, 22, 1], [1, 22, 41, 132, 125, 118, 55, 16, 2], [1, 22, 42, 126, 140, 98, 70, 10, 3], [1, 22, 43, 120, 155, 78, 85, 4, 4], [1, 23, 33, 159, 75, 173, 19, 29, 0], [1, 23, 34, 153, 90, 153, 34, 23, 1], [1, 23, 35, 147, 105, 133, 49, 17, 2], [1, 23, 36, 141, 120, 113, 64, 11, 3], [1, 23, 37, 135, 135, 93, 79, 5, 4], [1, 24, 27, 174, 55, 188, 13, 30, 0], [1, 24, 28, 168, 70, 168, 28, 24, 1], [1, 24, 29, 162, 85, 148, 43, 18, 2], [1, 24, 30, 156, 100, 128, 58, 12, 3], [1, 24, 31, 150, 115, 108, 73, 6, 4], [1, 24, 32, 144, 130, 88, 88, 0, 5], [1, 25, 21, 189, 35, 203, 7, 31, 0], [1, 25, 22, 183, 50, 183, 22, 25, 1], [1, 25, 23, 177, 65, 163, 37, 19, 2], [1, 25, 24, 171, 80, 143, 52, 13, 3], [1, 25, 25, 165, 95, 123, 67, 7, 4], [1, 25, 26, 159, 110, 103, 82, 1, 5], [1, 26, 15, 204, 15, 218, 1, 32, 0], [1, 26, 16, 198, 30, 198, 16, 26, 1], [1, 26, 17, 192, 45, 178, 31, 20, 2], [1, 26, 18, 186, 60, 158, 46, 14, 3], [1, 26, 19, 180, 75, 138, 61, 8, 4], [1, 26, 20, 174, 90, 118, 76, 2, 5], [1, 27, 10, 213, 10, 213, 10, 27, 1], [1, 27, 11, 207, 25, 193, 25, 21, 2], [1, 27, 12, 201, 40, 173, 40, 15, 3], [1, 27, 13, 195, 55, 153, 55, 9, 4], [1, 27, 14, 189, 70, 133, 70, 3, 5], [1, 28, 5, 222, 5, 208, 19, 22, 2], [1, 28, 6, 216, 20, 188, 34, 16, 3], [1, 28, 7, 210, 35, 168, 49, 10, 4], [1, 28, 8, 204, 50, 148, 64, 4, 5], [1, 29, 0, 231, 0, 203, 28, 17, 3], [1, 29, 1, 225, 15, 183, 43, 11, 4], [1, 29, 2, 219, 30, 163, 58, 5, 5], [2, 8, 102, 4, 270, 32, 74, 20, 0], [2, 9, 96, 19, 250, 47, 68, 21, 0], [2, 9, 97, 13, 265, 27, 83, 15, 1], [2, 9, 98, 7, 280, 7, 98, 9, 2], [2, 10, 90, 34, 230, 62, 62, 22, 0], [2, 10, 91, 28, 245, 42, 77, 16, 1], [2, 10, 92, 22, 260, 22, 92, 10, 2], [2, 10, 93, 16, 275, 2, 107, 4, 3], [2, 11, 84, 49, 210, 77, 56, 23, 0], [2, 11, 85, 43, 225, 57, 71, 17, 1], [2, 11, 86, 37, 240, 37, 86, 11, 2], [2, 11, 87, 31, 255, 17, 101, 5, 3], [2, 12, 78, 64, 190, 92, 50, 24, 0], [2, 12, 79, 58, 205, 72, 65, 18, 1], [2, 12, 80, 52, 220, 52, 80, 12, 2], [2, 12, 81, 46, 235, 32, 95, 6, 3], [2, 12, 82, 40, 250, 12, 110, 0, 4], [2, 13, 72, 79, 170, 107, 44, 25, 0], [2, 13, 73, 73, 185, 87, 59, 19, 1], [2, 13, 74, 67, 200, 67, 74, 13, 2], [2, 13, 75, 61, 215, 47, 89, 7, 3], [2, 13, 76, 55, 230, 27, 104, 1, 4], [2, 14, 66, 94, 150, 122, 38, 26, 0], [2, 14, 67, 88, 165, 102, 53, 20, 1], [2, 14, 68, 82, 180, 82, 68, 14, 2], [2, 14, 69, 76, 195, 62, 83, 8, 3], [2, 14, 70, 70, 210, 42, 98, 2, 4], [2, 15, 60, 109, 130, 137, 32, 27, 0], [2, 15, 61, 103, 145, 117, 47, 21, 1], [2, 15, 62, 97, 160, 97, 62, 15, 2], [2, 15, 63, 91, 175, 77, 77, 9, 3], [2, 15, 64, 85, 190, 57, 92, 3, 4], [2, 16, 54, 124, 110, 152, 26, 28, 0], [2, 16, 55, 118, 125, 132, 41, 22, 1], [2, 16, 56, 112, 140, 112, 56, 16, 2], [2, 16, 57, 106, 155, 92, 71, 10, 3], [2, 16, 58, 100, 170, 72, 86, 4, 4], [2, 17, 48, 139, 90, 167, 20, 29, 0], [2, 17, 49, 133, 105, 147, 35, 23, 1], [2, 17, 50, 127, 120, 127, 50, 17, 2], [2, 17, 51, 121, 135, 107, 65, 11, 3], [2, 17, 52, 115, 150, 87, 80, 5, 4], [2, 18, 42, 154, 70, 182, 14, 30, 0], [2, 18, 43, 148, 85, 162, 29, 24, 1], [2, 18, 44, 142, 100, 142, 44, 18, 2], [2, 18, 45, 136, 115, 122, 59, 12, 3], [2, 18, 46, 130, 130, 102, 74, 6, 4], [2, 18, 47, 124, 145, 82, 89, 0, 5], [2, 19, 36, 169, 50, 197, 8, 31, 0], [2, 19, 37, 163, 65, 177, 23, 25, 1], [2, 19, 38, 157, 80, 157, 38, 19, 2], [2, 19, 39, 151, 95, 137, 53, 13, 3], [2, 19, 40, 145, 110, 117, 68, 7, 4], [2, 19, 41, 139, 125, 97, 83, 1, 5], [2, 20, 30, 184, 30, 212, 2, 32, 0], [2, 20, 31, 178, 45, 192, 17, 26, 1], [2, 20, 32, 172, 60, 172, 32, 20, 2], [2, 20, 33, 166, 75, 152, 47, 14, 3], [2, 20, 34, 160, 90, 132, 62, 8, 4], [2, 20, 35, 154, 105, 112, 77, 2, 5], [2, 21, 25, 193, 25, 207, 11, 27, 1], [2, 21, 26, 187, 40, 187, 26, 21, 2], [2, 21, 27, 181, 55, 167, 41, 15, 3], [2, 21, 28, 175, 70, 147, 56, 9, 4], [2, 21, 29, 169, 85, 127, 71, 3, 5], [2, 22, 19, 208, 5, 222, 5, 28, 1], [2, 22, 20, 202, 20, 202, 20, 22, 2], [2, 22, 21, 196, 35, 182, 35, 16, 3], [2, 22, 22, 190, 50, 162, 50, 10, 4], [2, 22, 23, 184, 65, 142, 65, 4, 5], [2, 23, 14, 217, 0, 217, 14, 23, 2], [2, 23, 15, 211, 15, 197, 29, 17, 3], [2, 23, 16, 205, 30, 177, 44, 11, 4], [2, 23, 17, 199, 45, 157, 59, 5, 5], [2, 24, 10, 220, 10, 192, 38, 12, 4], [2, 24, 11, 214, 25, 172, 53, 6, 5], [2, 24, 12, 208, 40, 152, 68, 0, 6], [2, 25, 5, 229, 5, 187, 47, 7, 5], [2, 25, 6, 223, 20, 167, 62, 1, 6], [2, 26, 0, 238, 0, 182, 56, 2, 6], [3, 4, 105, 14, 245, 56, 63, 22, 0], [3, 4, 106, 8, 260, 36, 78, 16, 1], [3, 4, 107, 2, 275, 16, 93, 10, 2], [3, 5, 99, 29, 225, 71, 57, 23, 0], [3, 5, 100, 23, 240, 51, 72, 17, 1], [3, 5, 101, 17, 255, 31, 87, 11, 2], [3, 5, 102, 11, 270, 11, 102, 5, 3], [3, 6, 93, 44, 205, 86, 51, 24, 0], [3, 6, 94, 38, 220, 66, 66, 18, 1], [3, 6, 95, 32, 235, 46, 81, 12, 2], [3, 6, 96, 26, 250, 26, 96, 6, 3], [3, 6, 97, 20, 265, 6, 111, 0, 4], [3, 7, 87, 59, 185, 101, 45, 25, 0], [3, 7, 88, 53, 200, 81, 60, 19, 1], [3, 7, 89, 47, 215, 61, 75, 13, 2], [3, 7, 90, 41, 230, 41, 90, 7, 3], [3, 7, 91, 35, 245, 21, 105, 1, 4], [3, 8, 81, 74, 165, 116, 39, 26, 0], [3, 8, 82, 68, 180, 96, 54, 20, 1], [3, 8, 83, 62, 195, 76, 69, 14, 2], [3, 8, 84, 56, 210, 56, 84, 8, 3], [3, 8, 85, 50, 225, 36, 99, 2, 4], [3, 9, 75, 89, 145, 131, 33, 27, 0], [3, 9, 76, 83, 160, 111, 48, 21, 1], [3, 9, 77, 77, 175, 91, 63, 15, 2], [3, 9, 78, 71, 190, 71, 78, 9, 3], [3, 9, 79, 65, 205, 51, 93, 3, 4], [3, 10, 69, 104, 125, 146, 27, 28, 0], [3, 10, 70, 98, 140, 126, 42, 22, 1], [3, 10, 71, 92, 155, 106, 57, 16, 2], [3, 10, 72, 86, 170, 86, 72, 10, 3], [3, 10, 73, 80, 185, 66, 87, 4, 4], [3, 11, 63, 119, 105, 161, 21, 29, 0], [3, 11, 64, 113, 120, 141, 36, 23, 1], [3, 11, 65, 107, 135, 121, 51, 17, 2], [3, 11, 66, 101, 150, 101, 66, 11, 3], [3, 11, 67, 95, 165, 81, 81, 5, 4], [3, 12, 57, 134, 85, 176, 15, 30, 0], [3, 12, 58, 128, 100, 156, 30, 24, 1], [3, 12, 59, 122, 115, 136, 45, 18, 2], [3, 12, 60, 116, 130, 116, 60, 12, 3], [3, 12, 61, 110, 145, 96, 75, 6, 4], [3, 12, 62, 104, 160, 76, 90, 0, 5], [3, 13, 51, 149, 65, 191, 9, 31, 0], [3, 13, 52, 143, 80, 171, 24, 25, 1], [3, 13, 53, 137, 95, 151, 39, 19, 2], [3, 13, 54, 131, 110, 131, 54, 13, 3], [3, 13, 55, 125, 125, 111, 69, 7, 4], [3, 13, 56, 119, 140, 91, 84, 1, 5], [3, 14, 45, 164, 45, 206, 3, 32, 0], [3, 14, 46, 158, 60, 186, 18, 26, 1], [3, 14, 47, 152, 75, 166, 33, 20, 2], [3, 14, 48, 146, 90, 146, 48, 14, 3], [3, 14, 49, 140, 105, 126, 63, 8, 4], [3, 14, 50, 134, 120, 106, 78, 2, 5], [3, 15, 40, 173, 40, 201, 12, 27, 1], [3, 15, 41, 167, 55, 181, 27, 21, 2], [3, 15, 42, 161, 70, 161, 42, 15, 3], [3, 15, 43, 155, 85, 141, 57, 9, 4], [3, 15, 44, 149, 100, 121, 72, 3, 5], [3, 16, 34, 188, 20, 216, 6, 28, 1], [3, 16, 35, 182, 35, 196, 21, 22, 2], [3, 16, 36, 176, 50, 176, 36, 16, 3], [3, 16, 37, 170, 65, 156, 51, 10, 4], [3, 16, 38, 164, 80, 136, 66, 4, 5], [3, 17, 28, 203, 0, 231, 0, 29, 1], [3, 17, 29, 197, 15, 211, 15, 23, 2], [3, 17, 30, 191, 30, 191, 30, 17, 3], [3, 17, 31, 185, 45, 171, 45, 11, 4], [3, 17, 32, 179, 60, 151, 60, 5, 5], [3, 18, 24, 206, 10, 206, 24, 18, 3], [3, 18, 25, 200, 25, 186, 39, 12, 4], [3, 18, 26, 194, 40, 166, 54, 6, 5], [3, 18, 27, 188, 55, 146, 69, 0, 6], [3, 19, 19, 215, 5, 201, 33, 13, 4], [3, 19, 20, 209, 20, 181, 48, 7, 5], [3, 19, 21, 203, 35, 161, 63, 1, 6], [3, 20, 14, 224, 0, 196, 42, 8, 5], [3, 20, 15, 218, 15, 176, 57, 2, 6], [4, 0, 108, 24, 220, 80, 52, 24, 0], [4, 0, 109, 18, 235, 60, 67, 18, 1], [4, 0, 110, 12, 250, 40, 82, 12, 2], [4, 0, 111, 6, 265, 20, 97, 6, 3], [4, 0, 112, 0, 280, 0, 112, 0, 4], [4, 1, 102, 39, 200, 95, 46, 25, 0], [4, 1, 103, 33, 215, 75, 61, 19, 1], [4, 1, 104, 27, 230, 55, 76, 13, 2], [4, 1, 105, 21, 245, 35, 91, 7, 3], [4, 1, 106, 15, 260, 15, 106, 1, 4], [4, 2, 96, 54, 180, 110, 40, 26, 0], [4, 2, 97, 48, 195, 90, 55, 20, 1], [4, 2, 98, 42, 210, 70, 70, 14, 2], [4, 2, 99, 36, 225, 50, 85, 8, 3], [4, 2, 100, 30, 240, 30, 100, 2, 4], [4, 3, 90, 69, 160, 125, 34, 27, 0], [4, 3, 91, 63, 175, 105, 49, 21, 1], [4, 3, 92, 57, 190, 85, 64, 15, 2], [4, 3, 93, 51, 205, 65, 79, 9, 3], [4, 3, 94, 45, 220, 45, 94, 3, 4], [4, 4, 84, 84, 140, 140, 28, 28, 0], [4, 4, 85, 78, 155, 120, 43, 22, 1], [4, 4, 86, 72, 170, 100, 58, 16, 2], [4, 4, 87, 66, 185, 80, 73, 10, 3], [4, 4, 88, 60, 200, 60, 88, 4, 4], [4, 5, 78, 99, 120, 155, 22, 29, 0], [4, 5, 79, 93, 135, 135, 37, 23, 1], [4, 5, 80, 87, 150, 115, 52, 17, 2], [4, 5, 81, 81, 165, 95, 67, 11, 3], [4, 5, 82, 75, 180, 75, 82, 5, 4], [4, 6, 72, 114, 100, 170, 16, 30, 0], [4, 6, 73, 108, 115, 150, 31, 24, 1], [4, 6, 74, 102, 130, 130, 46, 18, 2], [4, 6, 75, 96, 145, 110, 61, 12, 3], [4, 6, 76, 90, 160, 90, 76, 6, 4], [4, 6, 77, 84, 175, 70, 91, 0, 5], [4, 7, 66, 129, 80, 185, 10, 31, 0], [4, 7, 67, 123, 95, 165, 25, 25, 1], [4, 7, 68, 117, 110, 145, 40, 19, 2], [4, 7, 69, 111, 125, 125, 55, 13, 3], [4, 7, 70, 105, 140, 105, 70, 7, 4], [4, 7, 71, 99, 155, 85, 85, 1, 5], [4, 8, 60, 144, 60, 200, 4, 32, 0], [4, 8, 61, 138, 75, 180, 19, 26, 1], [4, 8, 62, 132, 90, 160, 34, 20, 2], [4, 8, 63, 126, 105, 140, 49, 14, 3], [4, 8, 64, 120, 120, 120, 64, 8, 4], [4, 8, 65, 114, 135, 100, 79, 2, 5], [4, 9, 55, 153, 55, 195, 13, 27, 1], [4, 9, 56, 147, 70, 175, 28, 21, 2], [4, 9, 57, 141, 85, 155, 43, 15, 3], [4, 9, 58, 135, 100, 135, 58, 9, 4], [4, 9, 59, 129, 115, 115, 73, 3, 5], [4, 10, 49, 168, 35, 210, 7, 28, 1], [4, 10, 50, 162, 50, 190, 22, 22, 2], [4, 10, 51, 156, 65, 170, 37, 16, 3], [4, 10, 52, 150, 80, 150, 52, 10, 4], [4, 10, 53, 144, 95, 130, 67, 4, 5], [4, 11, 43, 183, 15, 225, 1, 29, 1], [4, 11, 44, 177, 30, 205, 16, 23, 2], [4, 11, 45, 171, 45, 185, 31, 17, 3], [4, 11, 46, 165, 60, 165, 46, 11, 4], [4, 11, 47, 159, 75, 145, 61, 5, 5], [4, 12, 38, 192, 10, 220, 10, 24, 2], [4, 12, 39, 186, 25, 200, 25, 18, 3], [4, 12, 40, 180, 40, 180, 40, 12, 4], [4, 12, 41, 174, 55, 160, 55, 6, 5], [4, 12, 42, 168, 70, 140, 70, 0, 6], [4, 13, 33, 201, 5, 215, 19, 19, 3], [4, 13, 34, 195, 20, 195, 34, 13, 4], [4, 13, 35, 189, 35, 175, 49, 7, 5], [4, 13, 36, 183, 50, 155, 64, 1, 6], [4, 14, 28, 210, 0, 210, 28, 14, 4], [4, 14, 29, 204, 15, 190, 43, 8, 5], [4, 14, 30, 198, 30, 170, 58, 2, 6], [4, 15, 24, 213, 10, 185, 52, 3, 6], [5, 0, 87, 94, 115, 164, 17, 30, 0], [5, 0, 88, 88, 130, 144, 32, 24, 1], [5, 0, 89, 82, 145, 124, 47, 18, 2], [5, 0, 90, 76, 160, 104, 62, 12, 3], [5, 0, 91, 70, 175, 84, 77, 6, 4], [5, 0, 92, 64, 190, 64, 92, 0, 5], [5, 1, 81, 109, 95, 179, 11, 31, 0], [5, 1, 82, 103, 110, 159, 26, 25, 1], [5, 1, 83, 97, 125, 139, 41, 19, 2], [5, 1, 84, 91, 140, 119, 56, 13, 3], [5, 1, 85, 85, 155, 99, 71, 7, 4], [5, 1, 86, 79, 170, 79, 86, 1, 5], [5, 2, 75, 124, 75, 194, 5, 32, 0], [5, 2, 76, 118, 90, 174, 20, 26, 1], [5, 2, 77, 112, 105, 154, 35, 20, 2], [5, 2, 78, 106, 120, 134, 50, 14, 3], [5, 2, 79, 100, 135, 114, 65, 8, 4], [5, 2, 80, 94, 150, 94, 80, 2, 5], [5, 3, 70, 133, 70, 189, 14, 27, 1], [5, 3, 71, 127, 85, 169, 29, 21, 2], [5, 3, 72, 121, 100, 149, 44, 15, 3], [5, 3, 73, 115, 115, 129, 59, 9, 4], [5, 3, 74, 109, 130, 109, 74, 3, 5], [5, 4, 64, 148, 50, 204, 8, 28, 1], [5, 4, 65, 142, 65, 184, 23, 22, 2], [5, 4, 66, 136, 80, 164, 38, 16, 3], [5, 4, 67, 130, 95, 144, 53, 10, 4], [5, 4, 68, 124, 110, 124, 68, 4, 5], [5, 5, 58, 163, 30, 219, 2, 29, 1], [5, 5, 59, 157, 45, 199, 17, 23, 2], [5, 5, 60, 151, 60, 179, 32, 17, 3], [5, 5, 61, 145, 75, 159, 47, 11, 4], [5, 5, 62, 139, 90, 139, 62, 5, 5], [5, 6, 53, 172, 25, 214, 11, 24, 2], [5, 6, 54, 166, 40, 194, 26, 18, 3], [5, 6, 55, 160, 55, 174, 41, 12, 4], [5, 6, 56, 154, 70, 154, 56, 6, 5], [5, 6, 57, 148, 85, 134, 71, 0, 6], [5, 7, 47, 187, 5, 229, 5, 25, 2], [5, 7, 48, 181, 20, 209, 20, 19, 3], [5, 7, 49, 175, 35, 189, 35, 13, 4], [5, 7, 50, 169, 50, 169, 50, 7, 5], [5, 7, 51, 163, 65, 149, 65, 1, 6], [5, 8, 42, 196, 0, 224, 14, 20, 3], [5, 8, 43, 190, 15, 204, 29, 14, 4], [5, 8, 44, 184, 30, 184, 44, 8, 5], [5, 8, 45, 178, 45, 164, 59, 2, 6], [5, 9, 38, 199, 10, 199, 38, 9, 5], [5, 9, 39, 193, 25, 179, 53, 3, 6], [5, 10, 33, 208, 5, 194, 47, 4, 6], [6, 0, 68, 152, 40, 208, 12, 24, 2], [6, 0, 69, 146, 55, 188, 27, 18, 3], [6, 0, 70, 140, 70, 168, 42, 12, 4], [6, 0, 71, 134, 85, 148, 57, 6, 5], [6, 0, 72, 128, 100, 128, 72, 0, 6], [6, 1, 62, 167, 20, 223, 6, 25, 2], [6, 1, 63, 161, 35, 203, 21, 19, 3], [6, 1, 64, 155, 50, 183, 36, 13, 4], [6, 1, 65, 149, 65, 163, 51, 7, 5], [6, 1, 66, 143, 80, 143, 66, 1, 6], [6, 2, 56, 182, 0, 238, 0, 26, 2], [6, 2, 57, 176, 15, 218, 15, 20, 3], [6, 2, 58, 170, 30, 198, 30, 14, 4], [6, 2, 59, 164, 45, 178, 45, 8, 5], [6, 2, 60, 158, 60, 158, 60, 2, 6], [6, 3, 52, 185, 10, 213, 24, 15, 4], [6, 3, 53, 179, 25, 193, 39, 9, 5], [6, 3, 54, 173, 40, 173, 54, 3, 6], [6, 4, 47, 194, 5, 208, 33, 10, 5], [6, 4, 48, 188, 20, 188, 48, 4, 6], [6, 5, 42, 203, 0, 203, 42, 5, 6], [7, 0, 52, 192, 10, 192, 52, 0, 7]}
(9, 512, 5) has 1678 possible DDs: {[1, 0, 80, 8, 162, 176, 8, 72, 5, 0], [1, 0, 81, 2, 177, 156, 23, 66, 6, 0], [1, 0, 81, 3, 171, 171, 3, 81, 0, 1], [1, 1, 74, 23, 142, 191, 2, 73, 5, 0], [1, 1, 75, 17, 157, 171, 17, 67, 6, 0], [1, 1, 76, 11, 172, 151, 32, 61, 7, 0], [1, 1, 76, 12, 166, 166, 12, 76, 1, 1], [1, 1, 77, 5, 187, 131, 47, 55, 8, 0], [1, 1, 77, 6, 181, 146, 27, 70, 2, 1], [1, 1, 78, 0, 196, 126, 42, 64, 3, 1], [1, 2, 69, 32, 137, 186, 11, 68, 6, 0], [1, 2, 70, 26, 152, 166, 26, 62, 7, 0], [1, 2, 70, 27, 146, 181, 6, 77, 1, 1], [1, 2, 71, 20, 167, 146, 41, 56, 8, 0], [1, 2, 71, 21, 161, 161, 21, 71, 2, 1], [1, 2, 72, 14, 182, 126, 56, 50, 9, 0], [1, 2, 72, 15, 176, 141, 36, 65, 3, 1], [1, 2, 73, 8, 197, 106, 71, 44, 10, 0], [1, 2, 73, 9, 191, 121, 51, 59, 4, 1], [1, 2, 74, 2, 212, 86, 86, 38, 11, 0], [1, 2, 74, 3, 206, 101, 66, 53, 5, 1], [1, 3, 63, 47, 117, 201, 5, 69, 6, 0], [1, 3, 64, 41, 132, 181, 20, 63, 7, 0], [1, 3, 64, 42, 126, 196, 0, 78, 1, 1], [1, 3, 65, 35, 147, 161, 35, 57, 8, 0], [1, 3, 65, 36, 141, 176, 15, 72, 2, 1], [1, 3, 66, 29, 162, 141, 50, 51, 9, 0], [1, 3, 66, 30, 156, 156, 30, 66, 3, 1], [1, 3, 67, 23, 177, 121, 65, 45, 10, 0], [1, 3, 67, 24, 171, 136, 45, 60, 4, 1], [1, 3, 68, 17, 192, 101, 80, 39, 11, 0], [1, 3, 68, 18, 186, 116, 60, 54, 5, 1], [1, 3, 69, 11, 207, 81, 95, 33, 12, 0], [1, 3, 69, 12, 201, 96, 75, 48, 6, 1], [1, 3, 69, 13, 195, 111, 55, 63, 0, 2], [1, 3, 70, 5, 222, 61, 110, 27, 13, 0], [1, 3, 70, 6, 216, 76, 90, 42, 7, 1], [1, 3, 70, 7, 210, 91, 70, 57, 1, 2], [1, 3, 71, 0, 231, 56, 105, 36, 8, 1], [1, 3, 71, 1, 225, 71, 85, 51, 2, 2], [1, 4, 58, 56, 112, 196, 14, 64, 7, 0], [1, 4, 59, 50, 127, 176, 29, 58, 8, 0], [1, 4, 59, 51, 121, 191, 9, 73, 2, 1], [1, 4, 60, 44, 142, 156, 44, 52, 9, 0], [1, 4, 60, 45, 136, 171, 24, 67, 3, 1], [1, 4, 61, 38, 157, 136, 59, 46, 10, 0], [1, 4, 61, 39, 151, 151, 39, 61, 4, 1], [1, 4, 62, 32, 172, 116, 74, 40, 11, 0], [1, 4, 62, 33, 166, 131, 54, 55, 5, 1], [1, 4, 63, 26, 187, 96, 89, 34, 12, 0], [1, 4, 63, 27, 181, 111, 69, 49, 6, 1], [1, 4, 63, 28, 175, 126, 49, 64, 0, 2], [1, 4, 64, 20, 202, 76, 104, 28, 13, 0], [1, 4, 64, 21, 196, 91, 84, 43, 7, 1], [1, 4, 64, 22, 190, 106, 64, 58, 1, 2], [1, 4, 65, 14, 217, 56, 119, 22, 14, 0], [1, 4, 65, 15, 211, 71, 99, 37, 8, 1], [1, 4, 65, 16, 205, 86, 79, 52, 2, 2], [1, 4, 66, 8, 232, 36, 134, 16, 15, 0], [1, 4, 66, 9, 226, 51, 114, 31, 9, 1], [1, 4, 66, 10, 220, 66, 94, 46, 3, 2], [1, 4, 67, 2, 247, 16, 149, 10, 16, 0], [1, 4, 67, 3, 241, 31, 129, 25, 10, 1], [1, 4, 67, 4, 235, 46, 109, 40, 4, 2], [1, 5, 52, 71, 92, 211, 8, 65, 7, 0], [1, 5, 53, 65, 107, 191, 23, 59, 8, 0], [1, 5, 53, 66, 101, 206, 3, 74, 2, 1], [1, 5, 54, 59, 122, 171, 38, 53, 9, 0], [1, 5, 54, 60, 116, 186, 18, 68, 3, 1], [1, 5, 55, 53, 137, 151, 53, 47, 10, 0], [1, 5, 55, 54, 131, 166, 33, 62, 4, 1], [1, 5, 56, 47, 152, 131, 68, 41, 11, 0], [1, 5, 56, 48, 146, 146, 48, 56, 5, 1], [1, 5, 57, 41, 167, 111, 83, 35, 12, 0], [1, 5, 57, 42, 161, 126, 63, 50, 6, 1], [1, 5, 57, 43, 155, 141, 43, 65, 0, 2], [1, 5, 58, 35, 182, 91, 98, 29, 13, 0], [1, 5, 58, 36, 176, 106, 78, 44, 7, 1], [1, 5, 58, 37, 170, 121, 58, 59, 1, 2], [1, 5, 59, 29, 197, 71, 113, 23, 14, 0], [1, 5, 59, 30, 191, 86, 93, 38, 8, 1], [1, 5, 59, 31, 185, 101, 73, 53, 2, 2], [1, 5, 60, 23, 212, 51, 128, 17, 15, 0], [1, 5, 60, 24, 206, 66, 108, 32, 9, 1], [1, 5, 60, 25, 200, 81, 88, 47, 3, 2], [1, 5, 61, 17, 227, 31, 143, 11, 16, 0], [1, 5, 61, 18, 221, 46, 123, 26, 10, 1], [1, 5, 61, 19, 215, 61, 103, 41, 4, 2], [1, 5, 62, 11, 242, 11, 158, 5, 17, 0], [1, 5, 62, 12, 236, 26, 138, 20, 11, 1], [1, 5, 62, 13, 230, 41, 118, 35, 5, 2], [1, 5, 63, 6, 251, 6, 153, 14, 12, 1], [1, 5, 63, 7, 245, 21, 133, 29, 6, 2], [1, 5, 63, 8, 239, 36, 113, 44, 0, 3], [1, 5, 64, 1, 260, 1, 148, 23, 7, 2], [1, 5, 64, 2, 254, 16, 128, 38, 1, 3], [1, 6, 46, 86, 72, 226, 2, 66, 7, 0], [1, 6, 47, 80, 87, 206, 17, 60, 8, 0], [1, 6, 48, 74, 102, 186, 32, 54, 9, 0], [1, 6, 48, 75, 96, 201, 12, 69, 3, 1], [1, 6, 49, 68, 117, 166, 47, 48, 10, 0], [1, 6, 49, 69, 111, 181, 27, 63, 4, 1], [1, 6, 50, 62, 132, 146, 62, 42, 11, 0], [1, 6, 50, 63, 126, 161, 42, 57, 5, 1], [1, 6, 51, 56, 147, 126, 77, 36, 12, 0], [1, 6, 51, 57, 141, 141, 57, 51, 6, 1], [1, 6, 51, 58, 135, 156, 37, 66, 0, 2], [1, 6, 52, 50, 162, 106, 92, 30, 13, 0], [1, 6, 52, 51, 156, 121, 72, 45, 7, 1], [1, 6, 52, 52, 150, 136, 52, 60, 1, 2], [1, 6, 53, 44, 177, 86, 107, 24, 14, 0], [1, 6, 53, 45, 171, 101, 87, 39, 8, 1], [1, 6, 53, 46, 165, 116, 67, 54, 2, 2], [1, 6, 54, 38, 192, 66, 122, 18, 15, 0], [1, 6, 54, 39, 186, 81, 102, 33, 9, 1], [1, 6, 54, 40, 180, 96, 82, 48, 3, 2], [1, 6, 55, 32, 207, 46, 137, 12, 16, 0], [1, 6, 55, 33, 201, 61, 117, 27, 10, 1], [1, 6, 55, 34, 195, 76, 97, 42, 4, 2], [1, 6, 56, 26, 222, 26, 152, 6, 17, 0], [1, 6, 56, 27, 216, 41, 132, 21, 11, 1], [1, 6, 56, 28, 210, 56, 112, 36, 5, 2], [1, 6, 57, 20, 237, 6, 167, 0, 18, 0], [1, 6, 57, 21, 231, 21, 147, 15, 12, 1], [1, 6, 57, 22, 225, 36, 127, 30, 6, 2], [1, 6, 57, 23, 219, 51, 107, 45, 0, 3], [1, 6, 58, 15, 246, 1, 162, 9, 13, 1], [1, 6, 58, 16, 240, 16, 142, 24, 7, 2], [1, 6, 58, 17, 234, 31, 122, 39, 1, 3], [1, 6, 59, 11, 249, 11, 137, 33, 2, 3], [1, 7, 41, 95, 67, 221, 11, 61, 8, 0], [1, 7, 42, 89, 82, 201, 26, 55, 9, 0], [1, 7, 42, 90, 76, 216, 6, 70, 3, 1], [1, 7, 43, 83, 97, 181, 41, 49, 10, 0], [1, 7, 43, 84, 91, 196, 21, 64, 4, 1], [1, 7, 44, 77, 112, 161, 56, 43, 11, 0], [1, 7, 44, 78, 106, 176, 36, 58, 5, 1], [1, 7, 45, 71, 127, 141, 71, 37, 12, 0], [1, 7, 45, 72, 121, 156, 51, 52, 6, 1], [1, 7, 45, 73, 115, 171, 31, 67, 0, 2], [1, 7, 46, 65, 142, 121, 86, 31, 13, 0], [1, 7, 46, 66, 136, 136, 66, 46, 7, 1], [1, 7, 46, 67, 130, 151, 46, 61, 1, 2], [1, 7, 47, 59, 157, 101, 101, 25, 14, 0], [1, 7, 47, 60, 151, 116, 81, 40, 8, 1], [1, 7, 47, 61, 145, 131, 61, 55, 2, 2], [1, 7, 48, 53, 172, 81, 116, 19, 15, 0], [1, 7, 48, 54, 166, 96, 96, 34, 9, 1], [1, 7, 48, 55, 160, 111, 76, 49, 3, 2], [1, 7, 49, 47, 187, 61, 131, 13, 16, 0], [1, 7, 49, 48, 181, 76, 111, 28, 10, 1], [1, 7, 49, 49, 175, 91, 91, 43, 4, 2], [1, 7, 50, 41, 202, 41, 146, 7, 17, 0], [1, 7, 50, 42, 196, 56, 126, 22, 11, 1], [1, 7, 50, 43, 190, 71, 106, 37, 5, 2], [1, 7, 51, 35, 217, 21, 161, 1, 18, 0], [1, 7, 51, 36, 211, 36, 141, 16, 12, 1], [1, 7, 51, 37, 205, 51, 121, 31, 6, 2], [1, 7, 51, 38, 199, 66, 101, 46, 0, 3], [1, 7, 52, 30, 226, 16, 156, 10, 13, 1], [1, 7, 52, 31, 220, 31, 136, 25, 7, 2], [1, 7, 52, 32, 214, 46, 116, 40, 1, 3], [1, 7, 53, 25, 235, 11, 151, 19, 8, 2], [1, 7, 53, 26, 229, 26, 131, 34, 2, 3], [1, 7, 54, 20, 244, 6, 146, 28, 3, 3], [1, 8, 35, 110, 47, 236, 5, 62, 8, 0], [1, 8, 36, 104, 62, 216, 20, 56, 9, 0], [1, 8, 36, 105, 56, 231, 0, 71, 3, 1], [1, 8, 37, 98, 77, 196, 35, 50, 10, 0], [1, 8, 37, 99, 71, 211, 15, 65, 4, 1], [1, 8, 38, 92, 92, 176, 50, 44, 11, 0], [1, 8, 38, 93, 86, 191, 30, 59, 5, 1], [1, 8, 39, 86, 107, 156, 65, 38, 12, 0], [1, 8, 39, 87, 101, 171, 45, 53, 6, 1], [1, 8, 39, 88, 95, 186, 25, 68, 0, 2], [1, 8, 40, 80, 122, 136, 80, 32, 13, 0], [1, 8, 40, 81, 116, 151, 60, 47, 7, 1], [1, 8, 40, 82, 110, 166, 40, 62, 1, 2], [1, 8, 41, 74, 137, 116, 95, 26, 14, 0], [1, 8, 41, 75, 131, 131, 75, 41, 8, 1], [1, 8, 41, 76, 125, 146, 55, 56, 2, 2], [1, 8, 42, 68, 152, 96, 110, 20, 15, 0], [1, 8, 42, 69, 146, 111, 90, 35, 9, 1], [1, 8, 42, 70, 140, 126, 70, 50, 3, 2], [1, 8, 43, 62, 167, 76, 125, 14, 16, 0], [1, 8, 43, 63, 161, 91, 105, 29, 10, 1], [1, 8, 43, 64, 155, 106, 85, 44, 4, 2], [1, 8, 44, 56, 182, 56, 140, 8, 17, 0], [1, 8, 44, 57, 176, 71, 120, 23, 11, 1], [1, 8, 44, 58, 170, 86, 100, 38, 5, 2], [1, 8, 45, 50, 197, 36, 155, 2, 18, 0], [1, 8, 45, 51, 191, 51, 135, 17, 12, 1], [1, 8, 45, 52, 185, 66, 115, 32, 6, 2], [1, 8, 45, 53, 179, 81, 95, 47, 0, 3], [1, 8, 46, 45, 206, 31, 150, 11, 13, 1], [1, 8, 46, 46, 200, 46, 130, 26, 7, 2], [1, 8, 46, 47, 194, 61, 110, 41, 1, 3], [1, 8, 47, 39, 221, 11, 165, 5, 14, 1], [1, 8, 47, 40, 215, 26, 145, 20, 8, 2], [1, 8, 47, 41, 209, 41, 125, 35, 2, 3], [1, 8, 48, 34, 230, 6, 160, 14, 9, 2], [1, 8, 48, 35, 224, 21, 140, 29, 3, 3], [1, 8, 49, 29, 239, 1, 155, 23, 4, 3], [1, 9, 30, 119, 42, 231, 14, 57, 9, 0], [1, 9, 31, 113, 57, 211, 29, 51, 10, 0], [1, 9, 31, 114, 51, 226, 9, 66, 4, 1], [1, 9, 32, 107, 72, 191, 44, 45, 11, 0], [1, 9, 32, 108, 66, 206, 24, 60, 5, 1], [1, 9, 33, 101, 87, 171, 59, 39, 12, 0], [1, 9, 33, 102, 81, 186, 39, 54, 6, 1], [1, 9, 33, 103, 75, 201, 19, 69, 0, 2], [1, 9, 34, 95, 102, 151, 74, 33, 13, 0], [1, 9, 34, 96, 96, 166, 54, 48, 7, 1], [1, 9, 34, 97, 90, 181, 34, 63, 1, 2], [1, 9, 35, 89, 117, 131, 89, 27, 14, 0], [1, 9, 35, 90, 111, 146, 69, 42, 8, 1], [1, 9, 35, 91, 105, 161, 49, 57, 2, 2], [1, 9, 36, 83, 132, 111, 104, 21, 15, 0], [1, 9, 36, 84, 126, 126, 84, 36, 9, 1], [1, 9, 36, 85, 120, 141, 64, 51, 3, 2], [1, 9, 37, 77, 147, 91, 119, 15, 16, 0], [1, 9, 37, 78, 141, 106, 99, 30, 10, 1], [1, 9, 37, 79, 135, 121, 79, 45, 4, 2], [1, 9, 38, 71, 162, 71, 134, 9, 17, 0], [1, 9, 38, 72, 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4, 19, 127, 127, 43, 169, 13, 1, 5], [4, 4, 20, 121, 142, 23, 184, 7, 2, 5], [4, 4, 21, 115, 157, 3, 199, 1, 3, 5], [4, 5, 5, 186, 11, 158, 123, 2, 17, 1], [4, 5, 5, 187, 5, 173, 103, 17, 11, 2], [4, 5, 6, 181, 20, 153, 118, 11, 12, 2], [4, 5, 6, 182, 14, 168, 98, 26, 6, 3], [4, 5, 6, 183, 8, 183, 78, 41, 0, 4], [4, 5, 7, 175, 35, 133, 133, 5, 13, 2], [4, 5, 7, 176, 29, 148, 113, 20, 7, 3], [4, 5, 7, 177, 23, 163, 93, 35, 1, 4], [4, 5, 8, 170, 44, 128, 128, 14, 8, 3], [4, 5, 8, 171, 38, 143, 108, 29, 2, 4], [4, 5, 9, 164, 59, 108, 143, 8, 9, 3], [4, 5, 9, 165, 53, 123, 123, 23, 3, 4], [4, 5, 10, 158, 74, 88, 158, 2, 10, 3], [4, 5, 10, 159, 68, 103, 138, 17, 4, 4], [4, 5, 11, 153, 83, 83, 153, 11, 5, 4], [4, 5, 12, 147, 98, 63, 168, 5, 6, 4], [4, 5, 12, 148, 92, 78, 148, 20, 0, 5], [4, 5, 13, 142, 107, 58, 163, 14, 1, 5], [4, 5, 14, 136, 122, 38, 178, 8, 2, 5], [4, 5, 15, 130, 137, 18, 193, 2, 3, 5], [4, 6, 0, 196, 0, 168, 112, 12, 12, 2], [4, 6, 1, 190, 15, 148, 127, 6, 13, 2], [4, 6, 1, 191, 9, 163, 107, 21, 7, 3], [4, 6, 1, 192, 3, 178, 87, 36, 1, 4], [4, 6, 2, 184, 30, 128, 142, 0, 14, 2], [4, 6, 2, 185, 24, 143, 122, 15, 8, 3], [4, 6, 2, 186, 18, 158, 102, 30, 2, 4], [4, 6, 3, 179, 39, 123, 137, 9, 9, 3], [4, 6, 3, 180, 33, 138, 117, 24, 3, 4], [4, 6, 4, 173, 54, 103, 152, 3, 10, 3], [4, 6, 4, 174, 48, 118, 132, 18, 4, 4], [4, 6, 5, 168, 63, 98, 147, 12, 5, 4], [4, 6, 6, 162, 78, 78, 162, 6, 6, 4], [4, 6, 6, 163, 72, 93, 142, 21, 0, 5], [4, 6, 7, 156, 93, 58, 177, 0, 7, 4], [4, 6, 7, 157, 87, 73, 157, 15, 1, 5], [4, 6, 8, 151, 102, 53, 172, 9, 2, 5], [4, 6, 9, 145, 117, 33, 187, 3, 3, 5], [4, 7, 0, 177, 58, 93, 156, 7, 6, 4], [4, 7, 0, 178, 52, 108, 136, 22, 0, 5], [4, 7, 1, 171, 73, 73, 171, 1, 7, 4], [4, 7, 1, 172, 67, 88, 151, 16, 1, 5], [4, 7, 2, 166, 82, 68, 166, 10, 2, 5], [4, 7, 3, 160, 97, 48, 181, 4, 3, 5], [4, 7, 6, 143, 136, 3, 206, 1, 0, 6], [4, 8, 0, 158, 116, 18, 200, 2, 0, 6], [5, 0, 14, 181, 6, 167, 118, 3, 17, 1], [5, 0, 14, 182, 0, 182, 98, 18, 11, 2], [5, 0, 15, 176, 15, 162, 113, 12, 12, 2], [5, 0, 15, 177, 9, 177, 93, 27, 6, 3], [5, 0, 15, 178, 3, 192, 73, 42, 0, 4], [5, 0, 16, 170, 30, 142, 128, 6, 13, 2], [5, 0, 16, 171, 24, 157, 108, 21, 7, 3], [5, 0, 16, 172, 18, 172, 88, 36, 1, 4], [5, 0, 17, 164, 45, 122, 143, 0, 14, 2], [5, 0, 17, 165, 39, 137, 123, 15, 8, 3], [5, 0, 17, 166, 33, 152, 103, 30, 2, 4], [5, 0, 18, 159, 54, 117, 138, 9, 9, 3], [5, 0, 18, 160, 48, 132, 118, 24, 3, 4], [5, 0, 19, 153, 69, 97, 153, 3, 10, 3], [5, 0, 19, 154, 63, 112, 133, 18, 4, 4], [5, 0, 20, 148, 78, 92, 148, 12, 5, 4], [5, 0, 21, 142, 93, 72, 163, 6, 6, 4], [5, 0, 21, 143, 87, 87, 143, 21, 0, 5], [5, 0, 22, 136, 108, 52, 178, 0, 7, 4], [5, 0, 22, 137, 102, 67, 158, 15, 1, 5], [5, 0, 23, 131, 117, 47, 173, 9, 2, 5], [5, 0, 24, 125, 132, 27, 188, 3, 3, 5], [5, 1, 10, 185, 10, 157, 122, 7, 13, 2], [5, 1, 10, 186, 4, 172, 102, 22, 7, 3], [5, 1, 11, 179, 25, 137, 137, 1, 14, 2], [5, 1, 11, 180, 19, 152, 117, 16, 8, 3], [5, 1, 11, 181, 13, 167, 97, 31, 2, 4], [5, 1, 12, 174, 34, 132, 132, 10, 9, 3], [5, 1, 12, 175, 28, 147, 112, 25, 3, 4], [5, 1, 13, 168, 49, 112, 147, 4, 10, 3], [5, 1, 13, 169, 43, 127, 127, 19, 4, 4], [5, 1, 14, 163, 58, 107, 142, 13, 5, 4], [5, 1, 15, 157, 73, 87, 157, 7, 6, 4], [5, 1, 15, 158, 67, 102, 137, 22, 0, 5], [5, 1, 16, 151, 88, 67, 172, 1, 7, 4], [5, 1, 16, 152, 82, 82, 152, 16, 1, 5], [5, 1, 17, 146, 97, 62, 167, 10, 2, 5], [5, 1, 18, 140, 112, 42, 182, 4, 3, 5], [5, 2, 5, 194, 5, 152, 131, 2, 14, 2], [5, 2, 6, 189, 14, 147, 126, 11, 9, 3], [5, 2, 6, 190, 8, 162, 106, 26, 3, 4], [5, 2, 7, 183, 29, 127, 141, 5, 10, 3], [5, 2, 7, 184, 23, 142, 121, 20, 4, 4], [5, 2, 8, 178, 38, 122, 136, 14, 5, 4], [5, 2, 9, 172, 53, 102, 151, 8, 6, 4], [5, 2, 9, 173, 47, 117, 131, 23, 0, 5], [5, 2, 10, 166, 68, 82, 166, 2, 7, 4], [5, 2, 10, 167, 62, 97, 146, 17, 1, 5], [5, 2, 11, 161, 77, 77, 161, 11, 2, 5], [5, 2, 12, 155, 92, 57, 176, 5, 3, 5], [5, 2, 15, 138, 131, 12, 201, 2, 0, 6], [5, 3, 1, 198, 9, 142, 135, 6, 10, 3], [5, 3, 1, 199, 3, 157, 115, 21, 4, 4], [5, 3, 2, 192, 24, 122, 150, 0, 11, 3], [5, 3, 2, 193, 18, 137, 130, 15, 5, 4], [5, 3, 3, 187, 33, 117, 145, 9, 6, 4], [5, 3, 3, 188, 27, 132, 125, 24, 0, 5], [5, 3, 4, 181, 48, 97, 160, 3, 7, 4], [5, 3, 4, 182, 42, 112, 140, 18, 1, 5], [5, 3, 5, 176, 57, 92, 155, 12, 2, 5], [5, 3, 6, 170, 72, 72, 170, 6, 3, 5], [5, 3, 7, 164, 87, 52, 185, 0, 4, 5], [5, 3, 9, 153, 111, 27, 195, 3, 0, 6], [5, 4, 0, 185, 52, 87, 164, 7, 3, 5], [5, 4, 1, 179, 67, 67, 179, 1, 4, 5], [5, 4, 3, 168, 91, 42, 189, 4, 0, 6], [6, 0, 1, 206, 3, 136, 143, 6, 7, 4], [6, 0, 2, 200, 18, 116, 158, 0, 8, 4], [6, 0, 2, 201, 12, 131, 138, 15, 2, 5], [6, 0, 3, 195, 27, 111, 153, 9, 3, 5], [6, 0, 4, 189, 42, 91, 168, 3, 4, 5], [6, 0, 6, 178, 66, 66, 178, 6, 0, 6], [6, 0, 7, 172, 81, 46, 193, 0, 1, 6], [6, 1, 0, 193, 46, 81, 172, 7, 0, 6], [6, 1, 1, 187, 61, 61, 187, 1, 1, 6]}
(10, 512, 5) has 4959 possible DDs: {[1, 0, 29, 90, 5, 236, 75, 26, 50, 0, 0], [1, 0, 30, 84, 20, 216, 90, 20, 51, 0, 0], [1, 0, 30, 85, 14, 231, 70, 35, 45, 1, 0], [1, 0, 30, 86, 8, 246, 50, 50, 39, 2, 0], [1, 0, 30, 87, 2, 261, 30, 65, 33, 3, 0], [1, 0, 31, 78, 35, 196, 105, 14, 52, 0, 0], [1, 0, 31, 79, 29, 211, 85, 29, 46, 1, 0], [1, 0, 31, 80, 23, 226, 65, 44, 40, 2, 0], [1, 0, 31, 81, 17, 241, 45, 59, 34, 3, 0], [1, 0, 31, 82, 11, 256, 25, 74, 28, 4, 0], [1, 0, 31, 83, 5, 271, 5, 89, 22, 5, 0], [1, 0, 31, 84, 0, 280, 0, 84, 31, 0, 1], [1, 0, 32, 72, 50, 176, 120, 8, 53, 0, 0], [1, 0, 32, 73, 44, 191, 100, 23, 47, 1, 0], [1, 0, 32, 74, 38, 206, 80, 38, 41, 2, 0], [1, 0, 32, 75, 32, 221, 60, 53, 35, 3, 0], [1, 0, 32, 76, 26, 236, 40, 68, 29, 4, 0], [1, 0, 32, 77, 20, 251, 20, 83, 23, 5, 0], [1, 0, 32, 78, 14, 266, 0, 98, 17, 6, 0], [1, 0, 32, 78, 15, 260, 15, 78, 32, 0, 1], [1, 0, 33, 66, 65, 156, 135, 2, 54, 0, 0], [1, 0, 33, 67, 59, 171, 115, 17, 48, 1, 0], [1, 0, 33, 68, 53, 186, 95, 32, 42, 2, 0], [1, 0, 33, 69, 47, 201, 75, 47, 36, 3, 0], [1, 0, 33, 70, 41, 216, 55, 62, 30, 4, 0], [1, 0, 33, 71, 35, 231, 35, 77, 24, 5, 0], [1, 0, 33, 72, 29, 246, 15, 92, 18, 6, 0], [1, 0, 33, 72, 30, 240, 30, 72, 33, 0, 1], [1, 0, 33, 73, 24, 255, 10, 87, 27, 1, 1], [1, 0, 34, 61, 74, 151, 130, 11, 49, 1, 0], [1, 0, 34, 62, 68, 166, 110, 26, 43, 2, 0], [1, 0, 34, 63, 62, 181, 90, 41, 37, 3, 0], [1, 0, 34, 64, 56, 196, 70, 56, 31, 4, 0], [1, 0, 34, 65, 50, 211, 50, 71, 25, 5, 0], [1, 0, 34, 66, 44, 226, 30, 86, 19, 6, 0], [1, 0, 34, 66, 45, 220, 45, 66, 34, 0, 1], [1, 0, 34, 67, 38, 241, 10, 101, 13, 7, 0], [1, 0, 34, 67, 39, 235, 25, 81, 28, 1, 1], [1, 0, 34, 68, 33, 250, 5, 96, 22, 2, 1], [1, 0, 35, 55, 89, 131, 145, 5, 50, 1, 0], [1, 0, 35, 56, 83, 146, 125, 20, 44, 2, 0], [1, 0, 35, 57, 77, 161, 105, 35, 38, 3, 0], [1, 0, 35, 58, 71, 176, 85, 50, 32, 4, 0], [1, 0, 35, 59, 65, 191, 65, 65, 26, 5, 0], [1, 0, 35, 60, 59, 206, 45, 80, 20, 6, 0], [1, 0, 35, 60, 60, 200, 60, 60, 35, 0, 1], [1, 0, 35, 61, 53, 221, 25, 95, 14, 7, 0], [1, 0, 35, 61, 54, 215, 40, 75, 29, 1, 1], [1, 0, 35, 62, 47, 236, 5, 110, 8, 8, 0], [1, 0, 35, 62, 48, 230, 20, 90, 23, 2, 1], [1, 0, 35, 63, 42, 245, 0, 105, 17, 3, 1], [1, 0, 36, 50, 98, 126, 140, 14, 45, 2, 0], [1, 0, 36, 51, 92, 141, 120, 29, 39, 3, 0], [1, 0, 36, 52, 86, 156, 100, 44, 33, 4, 0], [1, 0, 36, 53, 80, 171, 80, 59, 27, 5, 0], [1, 0, 36, 54, 74, 186, 60, 74, 21, 6, 0], [1, 0, 36, 54, 75, 180, 75, 54, 36, 0, 1], [1, 0, 36, 55, 68, 201, 40, 89, 15, 7, 0], [1, 0, 36, 55, 69, 195, 55, 69, 30, 1, 1], [1, 0, 36, 56, 62, 216, 20, 104, 9, 8, 0], [1, 0, 36, 56, 63, 210, 35, 84, 24, 2, 1], [1, 0, 36, 57, 56, 231, 0, 119, 3, 9, 0], [1, 0, 36, 57, 57, 225, 15, 99, 18, 3, 1], [1, 0, 37, 44, 113, 106, 155, 8, 46, 2, 0], [1, 0, 37, 45, 107, 121, 135, 23, 40, 3, 0], [1, 0, 37, 46, 101, 136, 115, 38, 34, 4, 0], [1, 0, 37, 47, 95, 151, 95, 53, 28, 5, 0], [1, 0, 37, 48, 89, 166, 75, 68, 22, 6, 0], [1, 0, 37, 48, 90, 160, 90, 48, 37, 0, 1], [1, 0, 37, 49, 83, 181, 55, 83, 16, 7, 0], [1, 0, 37, 49, 84, 175, 70, 63, 31, 1, 1], [1, 0, 37, 50, 77, 196, 35, 98, 10, 8, 0], [1, 0, 37, 50, 78, 190, 50, 78, 25, 2, 1], [1, 0, 37, 51, 71, 211, 15, 113, 4, 9, 0], [1, 0, 37, 51, 72, 205, 30, 93, 19, 3, 1], [1, 0, 37, 52, 66, 220, 10, 108, 13, 4, 1], [1, 0, 38, 38, 128, 86, 170, 2, 47, 2, 0], [1, 0, 38, 39, 122, 101, 150, 17, 41, 3, 0], [1, 0, 38, 40, 116, 116, 130, 32, 35, 4, 0], [1, 0, 38, 41, 110, 131, 110, 47, 29, 5, 0], [1, 0, 38, 42, 104, 146, 90, 62, 23, 6, 0], [1, 0, 38, 42, 105, 140, 105, 42, 38, 0, 1], [1, 0, 38, 43, 98, 161, 70, 77, 17, 7, 0], [1, 0, 38, 43, 99, 155, 85, 57, 32, 1, 1], [1, 0, 38, 44, 92, 176, 50, 92, 11, 8, 0], [1, 0, 38, 44, 93, 170, 65, 72, 26, 2, 1], [1, 0, 38, 45, 86, 191, 30, 107, 5, 9, 0], [1, 0, 38, 45, 87, 185, 45, 87, 20, 3, 1], [1, 0, 38, 46, 81, 200, 25, 102, 14, 4, 1], [1, 0, 38, 47, 75, 215, 5, 117, 8, 5, 1], [1, 0, 38, 48, 70, 224, 0, 112, 17, 0, 2], [1, 0, 39, 33, 137, 81, 165, 11, 42, 3, 0], [1, 0, 39, 34, 131, 96, 145, 26, 36, 4, 0], [1, 0, 39, 35, 125, 111, 125, 41, 30, 5, 0], [1, 0, 39, 36, 119, 126, 105, 56, 24, 6, 0], [1, 0, 39, 36, 120, 120, 120, 36, 39, 0, 1], [1, 0, 39, 37, 113, 141, 85, 71, 18, 7, 0], [1, 0, 39, 37, 114, 135, 100, 51, 33, 1, 1], [1, 0, 39, 38, 107, 156, 65, 86, 12, 8, 0], [1, 0, 39, 38, 108, 150, 80, 66, 27, 2, 1], [1, 0, 39, 39, 101, 171, 45, 101, 6, 9, 0], [1, 0, 39, 39, 102, 165, 60, 81, 21, 3, 1], [1, 0, 39, 40, 95, 186, 25, 116, 0, 10, 0], [1, 0, 39, 40, 96, 180, 40, 96, 15, 4, 1], [1, 0, 39, 41, 90, 195, 20, 111, 9, 5, 1], [1, 0, 39, 42, 84, 210, 0, 126, 3, 6, 1], [1, 0, 39, 42, 85, 204, 15, 106, 18, 0, 2], [1, 0, 40, 27, 152, 61, 180, 5, 43, 3, 0], [1, 0, 40, 28, 146, 76, 160, 20, 37, 4, 0], [1, 0, 40, 29, 140, 91, 140, 35, 31, 5, 0], [1, 0, 40, 30, 134, 106, 120, 50, 25, 6, 0], [1, 0, 40, 30, 135, 100, 135, 30, 40, 0, 1], [1, 0, 40, 31, 128, 121, 100, 65, 19, 7, 0], [1, 0, 40, 31, 129, 115, 115, 45, 34, 1, 1], [1, 0, 40, 32, 122, 136, 80, 80, 13, 8, 0], [1, 0, 40, 32, 123, 130, 95, 60, 28, 2, 1], [1, 0, 40, 33, 116, 151, 60, 95, 7, 9, 0], [1, 0, 40, 33, 117, 145, 75, 75, 22, 3, 1], [1, 0, 40, 34, 110, 166, 40, 110, 1, 10, 0], [1, 0, 40, 34, 111, 160, 55, 90, 16, 4, 1], [1, 0, 40, 35, 105, 175, 35, 105, 10, 5, 1], [1, 0, 40, 36, 99, 190, 15, 120, 4, 6, 1], [1, 0, 40, 36, 100, 184, 30, 100, 19, 0, 2], [1, 0, 40, 37, 94, 199, 10, 115, 13, 1, 2], [1, 0, 41, 22, 161, 56, 175, 14, 38, 4, 0], [1, 0, 41, 23, 155, 71, 155, 29, 32, 5, 0], [1, 0, 41, 24, 149, 86, 135, 44, 26, 6, 0], [1, 0, 41, 24, 150, 80, 150, 24, 41, 0, 1], [1, 0, 41, 25, 143, 101, 115, 59, 20, 7, 0], [1, 0, 41, 25, 144, 95, 130, 39, 35, 1, 1], [1, 0, 41, 26, 137, 116, 95, 74, 14, 8, 0], [1, 0, 41, 26, 138, 110, 110, 54, 29, 2, 1], [1, 0, 41, 27, 131, 131, 75, 89, 8, 9, 0], [1, 0, 41, 27, 132, 125, 90, 69, 23, 3, 1], [1, 0, 41, 28, 125, 146, 55, 104, 2, 10, 0], [1, 0, 41, 28, 126, 140, 70, 84, 17, 4, 1], [1, 0, 41, 29, 120, 155, 50, 99, 11, 5, 1], 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