------- (12, 729, 5) ALL distance distributions for EXTERNAL point (5, 729, 5) has 0 possible DDs: {} (6, 729, 5) has 1 possible DDs: {[0, 18, 45, 180, 225, 198, 63]} (7, 729, 5) has 11 possible DDs: {[0, 0, 63, 0, 315, 126, 189, 36], [0, 1, 57, 15, 295, 141, 183, 37], [0, 2, 51, 30, 275, 156, 177, 38], [0, 3, 45, 45, 255, 171, 171, 39], [0, 4, 39, 60, 235, 186, 165, 40], [0, 5, 33, 75, 215, 201, 159, 41], [0, 6, 27, 90, 195, 216, 153, 42], [0, 7, 21, 105, 175, 231, 147, 43], [0, 8, 15, 120, 155, 246, 141, 44], [0, 9, 9, 135, 135, 261, 135, 45], [0, 10, 3, 150, 115, 276, 129, 46]} (8, 729, 5) has 89 possible DDs: {[0, 0, 14, 84, 0, 392, 42, 180, 17], [0, 0, 15, 78, 15, 372, 57, 174, 18], [0, 0, 16, 72, 30, 352, 72, 168, 19], [0, 0, 17, 66, 45, 332, 87, 162, 20], [0, 0, 18, 60, 60, 312, 102, 156, 21], [0, 0, 19, 54, 75, 292, 117, 150, 22], [0, 0, 20, 48, 90, 272, 132, 144, 23], [0, 0, 21, 42, 105, 252, 147, 138, 24], [0, 0, 22, 36, 120, 232, 162, 132, 25], [0, 0, 23, 30, 135, 212, 177, 126, 26], [0, 0, 24, 24, 150, 192, 192, 120, 27], [0, 0, 25, 18, 165, 172, 207, 114, 28], [0, 0, 26, 12, 180, 152, 222, 108, 29], [0, 0, 27, 6, 195, 132, 237, 102, 30], [0, 0, 28, 0, 210, 112, 252, 96, 31], [0, 1, 10, 87, 10, 367, 66, 169, 19], [0, 1, 11, 81, 25, 347, 81, 163, 20], [0, 1, 12, 75, 40, 327, 96, 157, 21], [0, 1, 13, 69, 55, 307, 111, 151, 22], [0, 1, 14, 63, 70, 287, 126, 145, 23], [0, 1, 15, 57, 85, 267, 141, 139, 24], [0, 1, 16, 51, 100, 247, 156, 133, 25], [0, 1, 17, 45, 115, 227, 171, 127, 26], [0, 1, 18, 39, 130, 207, 186, 121, 27], [0, 1, 19, 33, 145, 187, 201, 115, 28], [0, 1, 20, 27, 160, 167, 216, 109, 29], [0, 1, 21, 21, 175, 147, 231, 103, 30], [0, 1, 22, 15, 190, 127, 246, 97, 31], [0, 1, 23, 9, 205, 107, 261, 91, 32], [0, 1, 24, 3, 220, 87, 276, 85, 33], [0, 2, 5, 96, 5, 362, 75, 164, 20], [0, 2, 6, 90, 20, 342, 90, 158, 21], [0, 2, 7, 84, 35, 322, 105, 152, 22], [0, 2, 8, 78, 50, 302, 120, 146, 23], [0, 2, 9, 72, 65, 282, 135, 140, 24], [0, 2, 10, 66, 80, 262, 150, 134, 25], [0, 2, 11, 60, 95, 242, 165, 128, 26], [0, 2, 12, 54, 110, 222, 180, 122, 27], [0, 2, 13, 48, 125, 202, 195, 116, 28], [0, 2, 14, 42, 140, 182, 210, 110, 29], [0, 2, 15, 36, 155, 162, 225, 104, 30], [0, 2, 16, 30, 170, 142, 240, 98, 31], [0, 2, 17, 24, 185, 122, 255, 92, 32], [0, 2, 18, 18, 200, 102, 270, 86, 33], [0, 2, 19, 12, 215, 82, 285, 80, 34], [0, 2, 20, 6, 230, 62, 300, 74, 35], [0, 2, 21, 0, 245, 42, 315, 68, 36], [0, 3, 0, 105, 0, 357, 84, 159, 21], [0, 3, 1, 99, 15, 337, 99, 153, 22], [0, 3, 2, 93, 30, 317, 114, 147, 23], [0, 3, 3, 87, 45, 297, 129, 141, 24], [0, 3, 4, 81, 60, 277, 144, 135, 25], [0, 3, 5, 75, 75, 257, 159, 129, 26], [0, 3, 6, 69, 90, 237, 174, 123, 27], [0, 3, 7, 63, 105, 217, 189, 117, 28], [0, 3, 8, 57, 120, 197, 204, 111, 29], [0, 3, 9, 51, 135, 177, 219, 105, 30], [0, 3, 10, 45, 150, 157, 234, 99, 31], [0, 3, 11, 39, 165, 137, 249, 93, 32], [0, 3, 12, 33, 180, 117, 264, 87, 33], [0, 3, 13, 27, 195, 97, 279, 81, 34], [0, 3, 14, 21, 210, 77, 294, 75, 35], [0, 3, 15, 15, 225, 57, 309, 69, 36], [0, 3, 16, 9, 240, 37, 324, 63, 37], [0, 3, 17, 3, 255, 17, 339, 57, 38], [0, 4, 0, 84, 70, 252, 168, 124, 27], [0, 4, 1, 78, 85, 232, 183, 118, 28], [0, 4, 2, 72, 100, 212, 198, 112, 29], [0, 4, 3, 66, 115, 192, 213, 106, 30], [0, 4, 4, 60, 130, 172, 228, 100, 31], [0, 4, 5, 54, 145, 152, 243, 94, 32], [0, 4, 6, 48, 160, 132, 258, 88, 33], [0, 4, 7, 42, 175, 112, 273, 82, 34], [0, 4, 8, 36, 190, 92, 288, 76, 35], [0, 4, 9, 30, 205, 72, 303, 70, 36], [0, 4, 10, 24, 220, 52, 318, 64, 37], [0, 4, 11, 18, 235, 32, 333, 58, 38], [0, 4, 12, 12, 250, 12, 348, 52, 39], [0, 5, 0, 63, 140, 147, 252, 89, 33], [0, 5, 1, 57, 155, 127, 267, 83, 34], [0, 5, 2, 51, 170, 107, 282, 77, 35], [0, 5, 3, 45, 185, 87, 297, 71, 36], [0, 5, 4, 39, 200, 67, 312, 65, 37], [0, 5, 5, 33, 215, 47, 327, 59, 38], [0, 5, 6, 27, 230, 27, 342, 53, 39], [0, 5, 7, 21, 245, 7, 357, 47, 40], [0, 6, 0, 42, 210, 42, 336, 54, 39], [0, 6, 1, 36, 225, 22, 351, 48, 40], [0, 6, 2, 30, 240, 2, 366, 42, 41]} (9, 729, 5) has 584 possible DDs: {[0, 0, 0, 58, 30, 114, 352, 6, 165, 4], [0, 0, 0, 59, 24, 129, 332, 21, 159, 5], [0, 0, 0, 60, 18, 144, 312, 36, 153, 6], [0, 0, 0, 61, 12, 159, 292, 51, 147, 7], [0, 0, 0, 62, 6, 174, 272, 66, 141, 8], [0, 0, 0, 63, 0, 189, 252, 81, 135, 9], [0, 0, 1, 52, 45, 94, 367, 0, 166, 4], [0, 0, 1, 53, 39, 109, 347, 15, 160, 5], [0, 0, 1, 54, 33, 124, 327, 30, 154, 6], [0, 0, 1, 55, 27, 139, 307, 45, 148, 7], [0, 0, 1, 56, 21, 154, 287, 60, 142, 8], [0, 0, 1, 57, 15, 169, 267, 75, 136, 9], [0, 0, 1, 58, 9, 184, 247, 90, 130, 10], [0, 0, 1, 59, 3, 199, 227, 105, 124, 11], [0, 0, 2, 47, 54, 89, 362, 9, 161, 5], [0, 0, 2, 48, 48, 104, 342, 24, 155, 6], [0, 0, 2, 49, 42, 119, 322, 39, 149, 7], [0, 0, 2, 50, 36, 134, 302, 54, 143, 8], [0, 0, 2, 51, 30, 149, 282, 69, 137, 9], [0, 0, 2, 52, 24, 164, 262, 84, 131, 10], [0, 0, 2, 53, 18, 179, 242, 99, 125, 11], [0, 0, 2, 54, 12, 194, 222, 114, 119, 12], [0, 0, 2, 55, 6, 209, 202, 129, 113, 13], [0, 0, 2, 56, 0, 224, 182, 144, 107, 14], [0, 0, 3, 41, 69, 69, 377, 3, 162, 5], [0, 0, 3, 42, 63, 84, 357, 18, 156, 6], [0, 0, 3, 43, 57, 99, 337, 33, 150, 7], [0, 0, 3, 44, 51, 114, 317, 48, 144, 8], [0, 0, 3, 45, 45, 129, 297, 63, 138, 9], [0, 0, 3, 46, 39, 144, 277, 78, 132, 10], [0, 0, 3, 47, 33, 159, 257, 93, 126, 11], [0, 0, 3, 48, 27, 174, 237, 108, 120, 12], [0, 0, 3, 49, 21, 189, 217, 123, 114, 13], [0, 0, 3, 50, 15, 204, 197, 138, 108, 14], [0, 0, 3, 51, 9, 219, 177, 153, 102, 15], [0, 0, 3, 52, 3, 234, 157, 168, 96, 16], [0, 0, 4, 36, 78, 64, 372, 12, 157, 6], [0, 0, 4, 37, 72, 79, 352, 27, 151, 7], [0, 0, 4, 38, 66, 94, 332, 42, 145, 8], [0, 0, 4, 39, 60, 109, 312, 57, 139, 9], [0, 0, 4, 40, 54, 124, 292, 72, 133, 10], [0, 0, 4, 41, 48, 139, 272, 87, 127, 11], [0, 0, 4, 42, 42, 154, 252, 102, 121, 12], [0, 0, 4, 43, 36, 169, 232, 117, 115, 13], [0, 0, 4, 44, 30, 184, 212, 132, 109, 14], [0, 0, 4, 45, 24, 199, 192, 147, 103, 15], [0, 0, 4, 46, 18, 214, 172, 162, 97, 16], [0, 0, 4, 47, 12, 229, 152, 177, 91, 17], [0, 0, 4, 48, 6, 244, 132, 192, 85, 18], [0, 0, 4, 49, 0, 259, 112, 207, 79, 19], [0, 0, 5, 30, 93, 44, 387, 6, 158, 6], [0, 0, 5, 31, 87, 59, 367, 21, 152, 7], [0, 0, 5, 32, 81, 74, 347, 36, 146, 8], [0, 0, 5, 33, 75, 89, 327, 51, 140, 9], [0, 0, 5, 34, 69, 104, 307, 66, 134, 10], [0, 0, 5, 35, 63, 119, 287, 81, 128, 11], [0, 0, 5, 36, 57, 134, 267, 96, 122, 12], [0, 0, 5, 37, 51, 149, 247, 111, 116, 13], [0, 0, 5, 38, 45, 164, 227, 126, 110, 14], [0, 0, 5, 39, 39, 179, 207, 141, 104, 15], [0, 0, 5, 40, 33, 194, 187, 156, 98, 16], [0, 0, 5, 41, 27, 209, 167, 171, 92, 17], [0, 0, 5, 42, 21, 224, 147, 186, 86, 18], [0, 0, 5, 43, 15, 239, 127, 201, 80, 19], [0, 0, 5, 44, 9, 254, 107, 216, 74, 20], [0, 0, 5, 45, 3, 269, 87, 231, 68, 21], [0, 0, 6, 24, 108, 24, 402, 0, 159, 6], [0, 0, 6, 25, 102, 39, 382, 15, 153, 7], [0, 0, 6, 26, 96, 54, 362, 30, 147, 8], [0, 0, 6, 27, 90, 69, 342, 45, 141, 9], [0, 0, 6, 28, 84, 84, 322, 60, 135, 10], [0, 0, 6, 29, 78, 99, 302, 75, 129, 11], [0, 0, 6, 30, 72, 114, 282, 90, 123, 12], [0, 0, 6, 31, 66, 129, 262, 105, 117, 13], [0, 0, 6, 32, 60, 144, 242, 120, 111, 14], [0, 0, 6, 33, 54, 159, 222, 135, 105, 15], [0, 0, 6, 34, 48, 174, 202, 150, 99, 16], [0, 0, 6, 35, 42, 189, 182, 165, 93, 17], [0, 0, 6, 36, 36, 204, 162, 180, 87, 18], [0, 0, 6, 37, 30, 219, 142, 195, 81, 19], [0, 0, 6, 38, 24, 234, 122, 210, 75, 20], [0, 0, 6, 39, 18, 249, 102, 225, 69, 21], [0, 0, 6, 40, 12, 264, 82, 240, 63, 22], [0, 0, 6, 41, 6, 279, 62, 255, 57, 23], [0, 0, 6, 42, 0, 294, 42, 270, 51, 24], [0, 0, 7, 19, 117, 19, 397, 9, 154, 7], [0, 0, 7, 20, 111, 34, 377, 24, 148, 8], [0, 0, 7, 21, 105, 49, 357, 39, 142, 9], [0, 0, 7, 22, 99, 64, 337, 54, 136, 10], [0, 0, 7, 23, 93, 79, 317, 69, 130, 11], [0, 0, 7, 24, 87, 94, 297, 84, 124, 12], [0, 0, 7, 25, 81, 109, 277, 99, 118, 13], [0, 0, 7, 26, 75, 124, 257, 114, 112, 14], [0, 0, 7, 27, 69, 139, 237, 129, 106, 15], [0, 0, 7, 28, 63, 154, 217, 144, 100, 16], [0, 0, 7, 29, 57, 169, 197, 159, 94, 17], [0, 0, 7, 30, 51, 184, 177, 174, 88, 18], [0, 0, 7, 31, 45, 199, 157, 189, 82, 19], [0, 0, 7, 32, 39, 214, 137, 204, 76, 20], [0, 0, 7, 33, 33, 229, 117, 219, 70, 21], [0, 0, 7, 34, 27, 244, 97, 234, 64, 22], [0, 0, 7, 35, 21, 259, 77, 249, 58, 23], [0, 0, 7, 36, 15, 274, 57, 264, 52, 24], [0, 0, 7, 37, 9, 289, 37, 279, 46, 25], [0, 0, 7, 38, 3, 304, 17, 294, 40, 26], [0, 0, 8, 14, 126, 14, 392, 18, 149, 8], [0, 0, 8, 15, 120, 29, 372, 33, 143, 9], [0, 0, 8, 16, 114, 44, 352, 48, 137, 10], [0, 0, 8, 17, 108, 59, 332, 63, 131, 11], [0, 0, 8, 18, 102, 74, 312, 78, 125, 12], [0, 0, 8, 19, 96, 89, 292, 93, 119, 13], [0, 0, 8, 20, 90, 104, 272, 108, 113, 14], [0, 0, 8, 21, 84, 119, 252, 123, 107, 15], [0, 0, 8, 22, 78, 134, 232, 138, 101, 16], [0, 0, 8, 23, 72, 149, 212, 153, 95, 17], [0, 0, 8, 24, 66, 164, 192, 168, 89, 18], [0, 0, 8, 25, 60, 179, 172, 183, 83, 19], [0, 0, 8, 26, 54, 194, 152, 198, 77, 20], [0, 0, 8, 27, 48, 209, 132, 213, 71, 21], [0, 0, 8, 28, 42, 224, 112, 228, 65, 22], [0, 0, 8, 29, 36, 239, 92, 243, 59, 23], [0, 0, 8, 30, 30, 254, 72, 258, 53, 24], [0, 0, 8, 31, 24, 269, 52, 273, 47, 25], [0, 0, 8, 32, 18, 284, 32, 288, 41, 26], [0, 0, 8, 33, 12, 299, 12, 303, 35, 27], [0, 0, 9, 9, 135, 9, 387, 27, 144, 9], [0, 0, 9, 10, 129, 24, 367, 42, 138, 10], [0, 0, 9, 11, 123, 39, 347, 57, 132, 11], [0, 0, 9, 12, 117, 54, 327, 72, 126, 12], [0, 0, 9, 13, 111, 69, 307, 87, 120, 13], [0, 0, 9, 14, 105, 84, 287, 102, 114, 14], [0, 0, 9, 15, 99, 99, 267, 117, 108, 15], [0, 0, 9, 16, 93, 114, 247, 132, 102, 16], [0, 0, 9, 17, 87, 129, 227, 147, 96, 17], [0, 0, 9, 18, 81, 144, 207, 162, 90, 18], [0, 0, 9, 19, 75, 159, 187, 177, 84, 19], [0, 0, 9, 20, 69, 174, 167, 192, 78, 20], [0, 0, 9, 21, 63, 189, 147, 207, 72, 21], [0, 0, 9, 22, 57, 204, 127, 222, 66, 22], [0, 0, 9, 23, 51, 219, 107, 237, 60, 23], [0, 0, 9, 24, 45, 234, 87, 252, 54, 24], [0, 0, 9, 25, 39, 249, 67, 267, 48, 25], [0, 0, 9, 26, 33, 264, 47, 282, 42, 26], [0, 0, 9, 27, 27, 279, 27, 297, 36, 27], [0, 0, 9, 28, 21, 294, 7, 312, 30, 28], [0, 0, 10, 4, 144, 4, 382, 36, 139, 10], [0, 0, 10, 5, 138, 19, 362, 51, 133, 11], [0, 0, 10, 6, 132, 34, 342, 66, 127, 12], [0, 0, 10, 7, 126, 49, 322, 81, 121, 13], [0, 0, 10, 8, 120, 64, 302, 96, 115, 14], [0, 0, 10, 9, 114, 79, 282, 111, 109, 15], [0, 0, 10, 10, 108, 94, 262, 126, 103, 16], [0, 0, 10, 11, 102, 109, 242, 141, 97, 17], [0, 0, 10, 12, 96, 124, 222, 156, 91, 18], [0, 0, 10, 13, 90, 139, 202, 171, 85, 19], [0, 0, 10, 14, 84, 154, 182, 186, 79, 20], [0, 0, 10, 15, 78, 169, 162, 201, 73, 21], [0, 0, 10, 16, 72, 184, 142, 216, 67, 22], [0, 0, 10, 17, 66, 199, 122, 231, 61, 23], [0, 0, 10, 18, 60, 214, 102, 246, 55, 24], [0, 0, 10, 19, 54, 229, 82, 261, 49, 25], [0, 0, 10, 20, 48, 244, 62, 276, 43, 26], [0, 0, 10, 21, 42, 259, 42, 291, 37, 27], [0, 0, 10, 22, 36, 274, 22, 306, 31, 28], [0, 0, 10, 23, 30, 289, 2, 321, 25, 29], [0, 0, 11, 0, 147, 14, 357, 60, 128, 12], [0, 0, 11, 1, 141, 29, 337, 75, 122, 13], [0, 0, 11, 2, 135, 44, 317, 90, 116, 14], [0, 0, 11, 3, 129, 59, 297, 105, 110, 15], [0, 0, 11, 4, 123, 74, 277, 120, 104, 16], [0, 0, 11, 5, 117, 89, 257, 135, 98, 17], [0, 0, 11, 6, 111, 104, 237, 150, 92, 18], [0, 0, 11, 7, 105, 119, 217, 165, 86, 19], [0, 0, 11, 8, 99, 134, 197, 180, 80, 20], [0, 0, 11, 9, 93, 149, 177, 195, 74, 21], [0, 0, 11, 10, 87, 164, 157, 210, 68, 22], [0, 0, 11, 11, 81, 179, 137, 225, 62, 23], [0, 0, 11, 12, 75, 194, 117, 240, 56, 24], [0, 0, 11, 13, 69, 209, 97, 255, 50, 25], [0, 0, 11, 14, 63, 224, 77, 270, 44, 26], [0, 0, 11, 15, 57, 239, 57, 285, 38, 27], [0, 0, 11, 16, 51, 254, 37, 300, 32, 28], [0, 0, 11, 17, 45, 269, 17, 315, 26, 29], [0, 0, 12, 0, 126, 84, 252, 144, 93, 18], [0, 0, 12, 1, 120, 99, 232, 159, 87, 19], [0, 0, 12, 2, 114, 114, 212, 174, 81, 20], [0, 0, 12, 3, 108, 129, 192, 189, 75, 21], [0, 0, 12, 4, 102, 144, 172, 204, 69, 22], [0, 0, 12, 5, 96, 159, 152, 219, 63, 23], [0, 0, 12, 6, 90, 174, 132, 234, 57, 24], [0, 0, 12, 7, 84, 189, 112, 249, 51, 25], [0, 0, 12, 8, 78, 204, 92, 264, 45, 26], [0, 0, 12, 9, 72, 219, 72, 279, 39, 27], [0, 0, 12, 10, 66, 234, 52, 294, 33, 28], [0, 0, 12, 11, 60, 249, 32, 309, 27, 29], [0, 0, 12, 12, 54, 264, 12, 324, 21, 30], [0, 0, 13, 0, 105, 154, 147, 228, 58, 24], [0, 0, 13, 1, 99, 169, 127, 243, 52, 25], [0, 0, 13, 2, 93, 184, 107, 258, 46, 26], [0, 0, 13, 3, 87, 199, 87, 273, 40, 27], [0, 0, 13, 4, 81, 214, 67, 288, 34, 28], [0, 0, 13, 5, 75, 229, 47, 303, 28, 29], [0, 0, 13, 6, 69, 244, 27, 318, 22, 30], [0, 0, 13, 7, 63, 259, 7, 333, 16, 31], [0, 0, 14, 0, 84, 224, 42, 312, 23, 30], [0, 0, 14, 1, 78, 239, 22, 327, 17, 31], [0, 0, 14, 2, 72, 254, 2, 342, 11, 32], [0, 1, 0, 39, 88, 39, 396, 1, 159, 6], [0, 1, 0, 40, 82, 54, 376, 16, 153, 7], [0, 1, 0, 41, 76, 69, 356, 31, 147, 8], [0, 1, 0, 42, 70, 84, 336, 46, 141, 9], [0, 1, 0, 43, 64, 99, 316, 61, 135, 10], [0, 1, 0, 44, 58, 114, 296, 76, 129, 11], [0, 1, 0, 45, 52, 129, 276, 91, 123, 12], [0, 1, 0, 46, 46, 144, 256, 106, 117, 13], [0, 1, 0, 47, 40, 159, 236, 121, 111, 14], [0, 1, 0, 48, 34, 174, 216, 136, 105, 15], [0, 1, 0, 49, 28, 189, 196, 151, 99, 16], [0, 1, 0, 50, 22, 204, 176, 166, 93, 17], [0, 1, 0, 51, 16, 219, 156, 181, 87, 18], [0, 1, 0, 52, 10, 234, 136, 196, 81, 19], [0, 1, 0, 53, 4, 249, 116, 211, 75, 20], [0, 1, 1, 34, 97, 34, 391, 10, 154, 7], [0, 1, 1, 35, 91, 49, 371, 25, 148, 8], [0, 1, 1, 36, 85, 64, 351, 40, 142, 9], [0, 1, 1, 37, 79, 79, 331, 55, 136, 10], [0, 1, 1, 38, 73, 94, 311, 70, 130, 11], [0, 1, 1, 39, 67, 109, 291, 85, 124, 12], [0, 1, 1, 40, 61, 124, 271, 100, 118, 13], [0, 1, 1, 41, 55, 139, 251, 115, 112, 14], [0, 1, 1, 42, 49, 154, 231, 130, 106, 15], [0, 1, 1, 43, 43, 169, 211, 145, 100, 16], [0, 1, 1, 44, 37, 184, 191, 160, 94, 17], [0, 1, 1, 45, 31, 199, 171, 175, 88, 18], [0, 1, 1, 46, 25, 214, 151, 190, 82, 19], [0, 1, 1, 47, 19, 229, 131, 205, 76, 20], [0, 1, 1, 48, 13, 244, 111, 220, 70, 21], [0, 1, 1, 49, 7, 259, 91, 235, 64, 22], [0, 1, 1, 50, 1, 274, 71, 250, 58, 23], [0, 1, 2, 28, 112, 14, 406, 4, 155, 7], [0, 1, 2, 29, 106, 29, 386, 19, 149, 8], [0, 1, 2, 30, 100, 44, 366, 34, 143, 9], [0, 1, 2, 31, 94, 59, 346, 49, 137, 10], [0, 1, 2, 32, 88, 74, 326, 64, 131, 11], [0, 1, 2, 33, 82, 89, 306, 79, 125, 12], [0, 1, 2, 34, 76, 104, 286, 94, 119, 13], [0, 1, 2, 35, 70, 119, 266, 109, 113, 14], [0, 1, 2, 36, 64, 134, 246, 124, 107, 15], [0, 1, 2, 37, 58, 149, 226, 139, 101, 16], [0, 1, 2, 38, 52, 164, 206, 154, 95, 17], [0, 1, 2, 39, 46, 179, 186, 169, 89, 18], [0, 1, 2, 40, 40, 194, 166, 184, 83, 19], [0, 1, 2, 41, 34, 209, 146, 199, 77, 20], [0, 1, 2, 42, 28, 224, 126, 214, 71, 21], [0, 1, 2, 43, 22, 239, 106, 229, 65, 22], [0, 1, 2, 44, 16, 254, 86, 244, 59, 23], [0, 1, 2, 45, 10, 269, 66, 259, 53, 24], [0, 1, 2, 46, 4, 284, 46, 274, 47, 25], [0, 1, 3, 23, 121, 9, 401, 13, 150, 8], [0, 1, 3, 24, 115, 24, 381, 28, 144, 9], [0, 1, 3, 25, 109, 39, 361, 43, 138, 10], [0, 1, 3, 26, 103, 54, 341, 58, 132, 11], [0, 1, 3, 27, 97, 69, 321, 73, 126, 12], [0, 1, 3, 28, 91, 84, 301, 88, 120, 13], [0, 1, 3, 29, 85, 99, 281, 103, 114, 14], [0, 1, 3, 30, 79, 114, 261, 118, 108, 15], [0, 1, 3, 31, 73, 129, 241, 133, 102, 16], [0, 1, 3, 32, 67, 144, 221, 148, 96, 17], [0, 1, 3, 33, 61, 159, 201, 163, 90, 18], [0, 1, 3, 34, 55, 174, 181, 178, 84, 19], [0, 1, 3, 35, 49, 189, 161, 193, 78, 20], [0, 1, 3, 36, 43, 204, 141, 208, 72, 21], [0, 1, 3, 37, 37, 219, 121, 223, 66, 22], [0, 1, 3, 38, 31, 234, 101, 238, 60, 23], [0, 1, 3, 39, 25, 249, 81, 253, 54, 24], [0, 1, 3, 40, 19, 264, 61, 268, 48, 25], [0, 1, 3, 41, 13, 279, 41, 283, 42, 26], [0, 1, 3, 42, 7, 294, 21, 298, 36, 27], [0, 1, 3, 43, 1, 309, 1, 313, 30, 28], [0, 1, 4, 18, 130, 4, 396, 22, 145, 9], [0, 1, 4, 19, 124, 19, 376, 37, 139, 10], [0, 1, 4, 20, 118, 34, 356, 52, 133, 11], [0, 1, 4, 21, 112, 49, 336, 67, 127, 12], [0, 1, 4, 22, 106, 64, 316, 82, 121, 13], [0, 1, 4, 23, 100, 79, 296, 97, 115, 14], [0, 1, 4, 24, 94, 94, 276, 112, 109, 15], [0, 1, 4, 25, 88, 109, 256, 127, 103, 16], [0, 1, 4, 26, 82, 124, 236, 142, 97, 17], [0, 1, 4, 27, 76, 139, 216, 157, 91, 18], [0, 1, 4, 28, 70, 154, 196, 172, 85, 19], [0, 1, 4, 29, 64, 169, 176, 187, 79, 20], [0, 1, 4, 30, 58, 184, 156, 202, 73, 21], [0, 1, 4, 31, 52, 199, 136, 217, 67, 22], [0, 1, 4, 32, 46, 214, 116, 232, 61, 23], [0, 1, 4, 33, 40, 229, 96, 247, 55, 24], [0, 1, 4, 34, 34, 244, 76, 262, 49, 25], [0, 1, 4, 35, 28, 259, 56, 277, 43, 26], [0, 1, 4, 36, 22, 274, 36, 292, 37, 27], [0, 1, 4, 37, 16, 289, 16, 307, 31, 28], [0, 1, 5, 14, 133, 14, 371, 46, 134, 11], [0, 1, 5, 15, 127, 29, 351, 61, 128, 12], [0, 1, 5, 16, 121, 44, 331, 76, 122, 13], [0, 1, 5, 17, 115, 59, 311, 91, 116, 14], [0, 1, 5, 18, 109, 74, 291, 106, 110, 15], [0, 1, 5, 19, 103, 89, 271, 121, 104, 16], [0, 1, 5, 20, 97, 104, 251, 136, 98, 17], [0, 1, 5, 21, 91, 119, 231, 151, 92, 18], [0, 1, 5, 22, 85, 134, 211, 166, 86, 19], [0, 1, 5, 23, 79, 149, 191, 181, 80, 20], [0, 1, 5, 24, 73, 164, 171, 196, 74, 21], [0, 1, 5, 25, 67, 179, 151, 211, 68, 22], [0, 1, 5, 26, 61, 194, 131, 226, 62, 23], [0, 1, 5, 27, 55, 209, 111, 241, 56, 24], [0, 1, 5, 28, 49, 224, 91, 256, 50, 25], [0, 1, 5, 29, 43, 239, 71, 271, 44, 26], [0, 1, 5, 30, 37, 254, 51, 286, 38, 27], [0, 1, 5, 31, 31, 269, 31, 301, 32, 28], [0, 1, 5, 32, 25, 284, 11, 316, 26, 29], [0, 1, 6, 9, 142, 9, 366, 55, 129, 12], [0, 1, 6, 10, 136, 24, 346, 70, 123, 13], [0, 1, 6, 11, 130, 39, 326, 85, 117, 14], [0, 1, 6, 12, 124, 54, 306, 100, 111, 15], [0, 1, 6, 13, 118, 69, 286, 115, 105, 16], [0, 1, 6, 14, 112, 84, 266, 130, 99, 17], [0, 1, 6, 15, 106, 99, 246, 145, 93, 18], [0, 1, 6, 16, 100, 114, 226, 160, 87, 19], [0, 1, 6, 17, 94, 129, 206, 175, 81, 20], [0, 1, 6, 18, 88, 144, 186, 190, 75, 21], [0, 1, 6, 19, 82, 159, 166, 205, 69, 22], [0, 1, 6, 20, 76, 174, 146, 220, 63, 23], [0, 1, 6, 21, 70, 189, 126, 235, 57, 24], [0, 1, 6, 22, 64, 204, 106, 250, 51, 25], [0, 1, 6, 23, 58, 219, 86, 265, 45, 26], [0, 1, 6, 24, 52, 234, 66, 280, 39, 27], [0, 1, 6, 25, 46, 249, 46, 295, 33, 28], [0, 1, 6, 26, 40, 264, 26, 310, 27, 29], [0, 1, 6, 27, 34, 279, 6, 325, 21, 30], [0, 1, 7, 4, 151, 4, 361, 64, 124, 13], [0, 1, 7, 5, 145, 19, 341, 79, 118, 14], [0, 1, 7, 6, 139, 34, 321, 94, 112, 15], [0, 1, 7, 7, 133, 49, 301, 109, 106, 16], [0, 1, 7, 8, 127, 64, 281, 124, 100, 17], [0, 1, 7, 9, 121, 79, 261, 139, 94, 18], [0, 1, 7, 10, 115, 94, 241, 154, 88, 19], [0, 1, 7, 11, 109, 109, 221, 169, 82, 20], [0, 1, 7, 12, 103, 124, 201, 184, 76, 21], [0, 1, 7, 13, 97, 139, 181, 199, 70, 22], [0, 1, 7, 14, 91, 154, 161, 214, 64, 23], [0, 1, 7, 15, 85, 169, 141, 229, 58, 24], [0, 1, 7, 16, 79, 184, 121, 244, 52, 25], [0, 1, 7, 17, 73, 199, 101, 259, 46, 26], [0, 1, 7, 18, 67, 214, 81, 274, 40, 27], [0, 1, 7, 19, 61, 229, 61, 289, 34, 28], [0, 1, 7, 20, 55, 244, 41, 304, 28, 29], [0, 1, 7, 21, 49, 259, 21, 319, 22, 30], [0, 1, 7, 22, 43, 274, 1, 334, 16, 31], [0, 1, 8, 0, 154, 14, 336, 88, 113, 15], [0, 1, 8, 1, 148, 29, 316, 103, 107, 16], [0, 1, 8, 2, 142, 44, 296, 118, 101, 17], [0, 1, 8, 3, 136, 59, 276, 133, 95, 18], [0, 1, 8, 4, 130, 74, 256, 148, 89, 19], [0, 1, 8, 5, 124, 89, 236, 163, 83, 20], [0, 1, 8, 6, 118, 104, 216, 178, 77, 21], [0, 1, 8, 7, 112, 119, 196, 193, 71, 22], [0, 1, 8, 8, 106, 134, 176, 208, 65, 23], [0, 1, 8, 9, 100, 149, 156, 223, 59, 24], [0, 1, 8, 10, 94, 164, 136, 238, 53, 25], [0, 1, 8, 11, 88, 179, 116, 253, 47, 26], [0, 1, 8, 12, 82, 194, 96, 268, 41, 27], [0, 1, 8, 13, 76, 209, 76, 283, 35, 28], [0, 1, 8, 14, 70, 224, 56, 298, 29, 29], [0, 1, 8, 15, 64, 239, 36, 313, 23, 30], [0, 1, 8, 16, 58, 254, 16, 328, 17, 31], [0, 1, 9, 0, 133, 84, 231, 172, 78, 21], [0, 1, 9, 1, 127, 99, 211, 187, 72, 22], [0, 1, 9, 2, 121, 114, 191, 202, 66, 23], [0, 1, 9, 3, 115, 129, 171, 217, 60, 24], [0, 1, 9, 4, 109, 144, 151, 232, 54, 25], [0, 1, 9, 5, 103, 159, 131, 247, 48, 26], [0, 1, 9, 6, 97, 174, 111, 262, 42, 27], [0, 1, 9, 7, 91, 189, 91, 277, 36, 28], [0, 1, 9, 8, 85, 204, 71, 292, 30, 29], [0, 1, 9, 9, 79, 219, 51, 307, 24, 30], [0, 1, 9, 10, 73, 234, 31, 322, 18, 31], [0, 1, 9, 11, 67, 249, 11, 337, 12, 32], [0, 1, 10, 0, 112, 154, 126, 256, 43, 27], [0, 1, 10, 1, 106, 169, 106, 271, 37, 28], [0, 1, 10, 2, 100, 184, 86, 286, 31, 29], [0, 1, 10, 3, 94, 199, 66, 301, 25, 30], [0, 1, 10, 4, 88, 214, 46, 316, 19, 31], [0, 1, 10, 5, 82, 229, 26, 331, 13, 32], [0, 1, 10, 6, 76, 244, 6, 346, 7, 33], [0, 1, 11, 0, 91, 224, 21, 340, 8, 33], [0, 1, 11, 1, 85, 239, 1, 355, 2, 34], [0, 2, 0, 23, 128, 9, 380, 41, 135, 11], [0, 2, 0, 24, 122, 24, 360, 56, 129, 12], [0, 2, 0, 25, 116, 39, 340, 71, 123, 13], [0, 2, 0, 26, 110, 54, 320, 86, 117, 14], [0, 2, 0, 27, 104, 69, 300, 101, 111, 15], [0, 2, 0, 28, 98, 84, 280, 116, 105, 16], [0, 2, 0, 29, 92, 99, 260, 131, 99, 17], [0, 2, 0, 30, 86, 114, 240, 146, 93, 18], [0, 2, 0, 31, 80, 129, 220, 161, 87, 19], [0, 2, 0, 32, 74, 144, 200, 176, 81, 20], [0, 2, 0, 33, 68, 159, 180, 191, 75, 21], [0, 2, 0, 34, 62, 174, 160, 206, 69, 22], [0, 2, 0, 35, 56, 189, 140, 221, 63, 23], [0, 2, 0, 36, 50, 204, 120, 236, 57, 24], [0, 2, 0, 37, 44, 219, 100, 251, 51, 25], [0, 2, 0, 38, 38, 234, 80, 266, 45, 26], [0, 2, 0, 39, 32, 249, 60, 281, 39, 27], [0, 2, 0, 40, 26, 264, 40, 296, 33, 28], [0, 2, 0, 41, 20, 279, 20, 311, 27, 29], [0, 2, 0, 42, 14, 294, 0, 326, 21, 30], [0, 2, 1, 18, 137, 4, 375, 50, 130, 12], [0, 2, 1, 19, 131, 19, 355, 65, 124, 13], [0, 2, 1, 20, 125, 34, 335, 80, 118, 14], [0, 2, 1, 21, 119, 49, 315, 95, 112, 15], [0, 2, 1, 22, 113, 64, 295, 110, 106, 16], [0, 2, 1, 23, 107, 79, 275, 125, 100, 17], [0, 2, 1, 24, 101, 94, 255, 140, 94, 18], [0, 2, 1, 25, 95, 109, 235, 155, 88, 19], [0, 2, 1, 26, 89, 124, 215, 170, 82, 20], [0, 2, 1, 27, 83, 139, 195, 185, 76, 21], [0, 2, 1, 28, 77, 154, 175, 200, 70, 22], [0, 2, 1, 29, 71, 169, 155, 215, 64, 23], [0, 2, 1, 30, 65, 184, 135, 230, 58, 24], [0, 2, 1, 31, 59, 199, 115, 245, 52, 25], [0, 2, 1, 32, 53, 214, 95, 260, 46, 26], [0, 2, 1, 33, 47, 229, 75, 275, 40, 27], [0, 2, 1, 34, 41, 244, 55, 290, 34, 28], [0, 2, 1, 35, 35, 259, 35, 305, 28, 29], [0, 2, 1, 36, 29, 274, 15, 320, 22, 30], [0, 2, 2, 14, 140, 14, 350, 74, 119, 14], [0, 2, 2, 15, 134, 29, 330, 89, 113, 15], [0, 2, 2, 16, 128, 44, 310, 104, 107, 16], [0, 2, 2, 17, 122, 59, 290, 119, 101, 17], [0, 2, 2, 18, 116, 74, 270, 134, 95, 18], [0, 2, 2, 19, 110, 89, 250, 149, 89, 19], [0, 2, 2, 20, 104, 104, 230, 164, 83, 20], [0, 2, 2, 21, 98, 119, 210, 179, 77, 21], [0, 2, 2, 22, 92, 134, 190, 194, 71, 22], [0, 2, 2, 23, 86, 149, 170, 209, 65, 23], [0, 2, 2, 24, 80, 164, 150, 224, 59, 24], [0, 2, 2, 25, 74, 179, 130, 239, 53, 25], [0, 2, 2, 26, 68, 194, 110, 254, 47, 26], [0, 2, 2, 27, 62, 209, 90, 269, 41, 27], [0, 2, 2, 28, 56, 224, 70, 284, 35, 28], [0, 2, 2, 29, 50, 239, 50, 299, 29, 29], [0, 2, 2, 30, 44, 254, 30, 314, 23, 30], [0, 2, 2, 31, 38, 269, 10, 329, 17, 31], [0, 2, 3, 9, 149, 9, 345, 83, 114, 15], [0, 2, 3, 10, 143, 24, 325, 98, 108, 16], [0, 2, 3, 11, 137, 39, 305, 113, 102, 17], [0, 2, 3, 12, 131, 54, 285, 128, 96, 18], [0, 2, 3, 13, 125, 69, 265, 143, 90, 19], [0, 2, 3, 14, 119, 84, 245, 158, 84, 20], [0, 2, 3, 15, 113, 99, 225, 173, 78, 21], [0, 2, 3, 16, 107, 114, 205, 188, 72, 22], [0, 2, 3, 17, 101, 129, 185, 203, 66, 23], [0, 2, 3, 18, 95, 144, 165, 218, 60, 24], [0, 2, 3, 19, 89, 159, 145, 233, 54, 25], [0, 2, 3, 20, 83, 174, 125, 248, 48, 26], [0, 2, 3, 21, 77, 189, 105, 263, 42, 27], [0, 2, 3, 22, 71, 204, 85, 278, 36, 28], [0, 2, 3, 23, 65, 219, 65, 293, 30, 29], [0, 2, 3, 24, 59, 234, 45, 308, 24, 30], [0, 2, 3, 25, 53, 249, 25, 323, 18, 31], [0, 2, 3, 26, 47, 264, 5, 338, 12, 32], [0, 2, 4, 4, 158, 4, 340, 92, 109, 16], [0, 2, 4, 5, 152, 19, 320, 107, 103, 17], [0, 2, 4, 6, 146, 34, 300, 122, 97, 18], [0, 2, 4, 7, 140, 49, 280, 137, 91, 19], [0, 2, 4, 8, 134, 64, 260, 152, 85, 20], [0, 2, 4, 9, 128, 79, 240, 167, 79, 21], [0, 2, 4, 10, 122, 94, 220, 182, 73, 22], [0, 2, 4, 11, 116, 109, 200, 197, 67, 23], [0, 2, 4, 12, 110, 124, 180, 212, 61, 24], [0, 2, 4, 13, 104, 139, 160, 227, 55, 25], [0, 2, 4, 14, 98, 154, 140, 242, 49, 26], [0, 2, 4, 15, 92, 169, 120, 257, 43, 27], [0, 2, 4, 16, 86, 184, 100, 272, 37, 28], [0, 2, 4, 17, 80, 199, 80, 287, 31, 29], [0, 2, 4, 18, 74, 214, 60, 302, 25, 30], [0, 2, 4, 19, 68, 229, 40, 317, 19, 31], [0, 2, 4, 20, 62, 244, 20, 332, 13, 32], [0, 2, 4, 21, 56, 259, 0, 347, 7, 33], [0, 2, 5, 0, 161, 14, 315, 116, 98, 18], [0, 2, 5, 1, 155, 29, 295, 131, 92, 19], [0, 2, 5, 2, 149, 44, 275, 146, 86, 20], [0, 2, 5, 3, 143, 59, 255, 161, 80, 21], [0, 2, 5, 4, 137, 74, 235, 176, 74, 22], [0, 2, 5, 5, 131, 89, 215, 191, 68, 23], [0, 2, 5, 6, 125, 104, 195, 206, 62, 24], [0, 2, 5, 7, 119, 119, 175, 221, 56, 25], [0, 2, 5, 8, 113, 134, 155, 236, 50, 26], [0, 2, 5, 9, 107, 149, 135, 251, 44, 27], [0, 2, 5, 10, 101, 164, 115, 266, 38, 28], [0, 2, 5, 11, 95, 179, 95, 281, 32, 29], [0, 2, 5, 12, 89, 194, 75, 296, 26, 30], [0, 2, 5, 13, 83, 209, 55, 311, 20, 31], [0, 2, 5, 14, 77, 224, 35, 326, 14, 32], [0, 2, 5, 15, 71, 239, 15, 341, 8, 33], [0, 2, 6, 0, 140, 84, 210, 200, 63, 24], [0, 2, 6, 1, 134, 99, 190, 215, 57, 25], [0, 2, 6, 2, 128, 114, 170, 230, 51, 26], [0, 2, 6, 3, 122, 129, 150, 245, 45, 27], [0, 2, 6, 4, 116, 144, 130, 260, 39, 28], [0, 2, 6, 5, 110, 159, 110, 275, 33, 29], [0, 2, 6, 6, 104, 174, 90, 290, 27, 30], [0, 2, 6, 7, 98, 189, 70, 305, 21, 31], [0, 2, 6, 8, 92, 204, 50, 320, 15, 32], [0, 2, 6, 9, 86, 219, 30, 335, 9, 33], [0, 2, 6, 10, 80, 234, 10, 350, 3, 34], [0, 2, 7, 0, 119, 154, 105, 284, 28, 30], [0, 2, 7, 1, 113, 169, 85, 299, 22, 31], [0, 2, 7, 2, 107, 184, 65, 314, 16, 32], [0, 2, 7, 3, 101, 199, 45, 329, 10, 33], [0, 2, 7, 4, 95, 214, 25, 344, 4, 34], [0, 3, 0, 9, 156, 9, 324, 111, 99, 18], [0, 3, 0, 10, 150, 24, 304, 126, 93, 19], [0, 3, 0, 11, 144, 39, 284, 141, 87, 20], [0, 3, 0, 12, 138, 54, 264, 156, 81, 21], [0, 3, 0, 13, 132, 69, 244, 171, 75, 22], [0, 3, 0, 14, 126, 84, 224, 186, 69, 23], [0, 3, 0, 15, 120, 99, 204, 201, 63, 24], [0, 3, 0, 16, 114, 114, 184, 216, 57, 25], [0, 3, 0, 17, 108, 129, 164, 231, 51, 26], [0, 3, 0, 18, 102, 144, 144, 246, 45, 27], [0, 3, 0, 19, 96, 159, 124, 261, 39, 28], [0, 3, 0, 20, 90, 174, 104, 276, 33, 29], [0, 3, 0, 21, 84, 189, 84, 291, 27, 30], [0, 3, 0, 22, 78, 204, 64, 306, 21, 31], [0, 3, 0, 23, 72, 219, 44, 321, 15, 32], [0, 3, 0, 24, 66, 234, 24, 336, 9, 33], [0, 3, 0, 25, 60, 249, 4, 351, 3, 34], [0, 3, 1, 4, 165, 4, 319, 120, 94, 19], [0, 3, 1, 5, 159, 19, 299, 135, 88, 20], [0, 3, 1, 6, 153, 34, 279, 150, 82, 21], [0, 3, 1, 7, 147, 49, 259, 165, 76, 22], [0, 3, 1, 8, 141, 64, 239, 180, 70, 23], [0, 3, 1, 9, 135, 79, 219, 195, 64, 24], [0, 3, 1, 10, 129, 94, 199, 210, 58, 25], [0, 3, 1, 11, 123, 109, 179, 225, 52, 26], [0, 3, 1, 12, 117, 124, 159, 240, 46, 27], [0, 3, 1, 13, 111, 139, 139, 255, 40, 28], [0, 3, 1, 14, 105, 154, 119, 270, 34, 29], [0, 3, 1, 15, 99, 169, 99, 285, 28, 30], [0, 3, 1, 16, 93, 184, 79, 300, 22, 31], [0, 3, 1, 17, 87, 199, 59, 315, 16, 32], [0, 3, 1, 18, 81, 214, 39, 330, 10, 33], [0, 3, 1, 19, 75, 229, 19, 345, 4, 34], [0, 3, 2, 0, 168, 14, 294, 144, 83, 21], [0, 3, 2, 1, 162, 29, 274, 159, 77, 22], [0, 3, 2, 2, 156, 44, 254, 174, 71, 23], [0, 3, 2, 3, 150, 59, 234, 189, 65, 24], [0, 3, 2, 4, 144, 74, 214, 204, 59, 25], [0, 3, 2, 5, 138, 89, 194, 219, 53, 26], [0, 3, 2, 6, 132, 104, 174, 234, 47, 27], [0, 3, 2, 7, 126, 119, 154, 249, 41, 28], [0, 3, 2, 8, 120, 134, 134, 264, 35, 29], [0, 3, 2, 9, 114, 149, 114, 279, 29, 30], [0, 3, 2, 10, 108, 164, 94, 294, 23, 31], [0, 3, 2, 11, 102, 179, 74, 309, 17, 32], [0, 3, 2, 12, 96, 194, 54, 324, 11, 33], [0, 3, 2, 13, 90, 209, 34, 339, 5, 34], [0, 3, 3, 0, 147, 84, 189, 228, 48, 27], [0, 3, 3, 1, 141, 99, 169, 243, 42, 28], [0, 3, 3, 2, 135, 114, 149, 258, 36, 29], [0, 3, 3, 3, 129, 129, 129, 273, 30, 30], [0, 3, 3, 4, 123, 144, 109, 288, 24, 31], [0, 3, 3, 5, 117, 159, 89, 303, 18, 32], [0, 3, 3, 6, 111, 174, 69, 318, 12, 33], [0, 3, 3, 7, 105, 189, 49, 333, 6, 34], [0, 3, 3, 8, 99, 204, 29, 348, 0, 35], [0, 3, 4, 0, 126, 154, 84, 312, 13, 33], [0, 3, 4, 1, 120, 169, 64, 327, 7, 34], [0, 3, 4, 2, 114, 184, 44, 342, 1, 35], [0, 4, 0, 0, 154, 84, 168, 256, 33, 30], [0, 4, 0, 1, 148, 99, 148, 271, 27, 31], [0, 4, 0, 2, 142, 114, 128, 286, 21, 32], [0, 4, 0, 3, 136, 129, 108, 301, 15, 33], [0, 4, 0, 4, 130, 144, 88, 316, 9, 34], [0, 4, 0, 5, 124, 159, 68, 331, 3, 35]} (10, 729, 5) has 2822 possible DDs: {[0, 0, 0, 15, 72, 9, 240, 225, 45, 123, 0], [0, 0, 0, 15, 73, 3, 255, 205, 60, 117, 1], [0, 0, 0, 16, 66, 24, 220, 240, 39, 124, 0], [0, 0, 0, 16, 67, 18, 235, 220, 54, 118, 1], [0, 0, 0, 16, 68, 12, 250, 200, 69, 112, 2], [0, 0, 0, 16, 69, 6, 265, 180, 84, 106, 3], [0, 0, 0, 16, 70, 0, 280, 160, 99, 100, 4], [0, 0, 0, 17, 60, 39, 200, 255, 33, 125, 0], [0, 0, 0, 17, 61, 33, 215, 235, 48, 119, 1], [0, 0, 0, 17, 62, 27, 230, 215, 63, 113, 2], [0, 0, 0, 17, 63, 21, 245, 195, 78, 107, 3], [0, 0, 0, 17, 64, 15, 260, 175, 93, 101, 4], [0, 0, 0, 17, 65, 9, 275, 155, 108, 95, 5], [0, 0, 0, 17, 66, 3, 290, 135, 123, 89, 6], [0, 0, 0, 18, 54, 54, 180, 270, 27, 126, 0], [0, 0, 0, 18, 55, 48, 195, 250, 42, 120, 1], [0, 0, 0, 18, 56, 42, 210, 230, 57, 114, 2], [0, 0, 0, 18, 57, 36, 225, 210, 72, 108, 3], [0, 0, 0, 18, 58, 30, 240, 190, 87, 102, 4], [0, 0, 0, 18, 59, 24, 255, 170, 102, 96, 5], [0, 0, 0, 18, 60, 18, 270, 150, 117, 90, 6], [0, 0, 0, 18, 61, 12, 285, 130, 132, 84, 7], [0, 0, 0, 18, 62, 6, 300, 110, 147, 78, 8], [0, 0, 0, 18, 63, 0, 315, 90, 162, 72, 9], [0, 0, 0, 19, 48, 69, 160, 285, 21, 127, 0], [0, 0, 0, 19, 49, 63, 175, 265, 36, 121, 1], [0, 0, 0, 19, 50, 57, 190, 245, 51, 115, 2], [0, 0, 0, 19, 51, 51, 205, 225, 66, 109, 3], [0, 0, 0, 19, 52, 45, 220, 205, 81, 103, 4], [0, 0, 0, 19, 53, 39, 235, 185, 96, 97, 5], [0, 0, 0, 19, 54, 33, 250, 165, 111, 91, 6], [0, 0, 0, 19, 55, 27, 265, 145, 126, 85, 7], [0, 0, 0, 19, 56, 21, 280, 125, 141, 79, 8], [0, 0, 0, 19, 57, 15, 295, 105, 156, 73, 9], [0, 0, 0, 19, 58, 9, 310, 85, 171, 67, 10], [0, 0, 0, 19, 59, 3, 325, 65, 186, 61, 11], [0, 0, 0, 20, 42, 84, 140, 300, 15, 128, 0], [0, 0, 0, 20, 43, 78, 155, 280, 30, 122, 1], [0, 0, 0, 20, 44, 72, 170, 260, 45, 116, 2], [0, 0, 0, 20, 45, 66, 185, 240, 60, 110, 3], [0, 0, 0, 20, 46, 60, 200, 220, 75, 104, 4], [0, 0, 0, 20, 47, 54, 215, 200, 90, 98, 5], [0, 0, 0, 20, 48, 48, 230, 180, 105, 92, 6], [0, 0, 0, 20, 49, 42, 245, 160, 120, 86, 7], [0, 0, 0, 20, 50, 36, 260, 140, 135, 80, 8], [0, 0, 0, 20, 51, 30, 275, 120, 150, 74, 9], [0, 0, 0, 20, 52, 24, 290, 100, 165, 68, 10], [0, 0, 0, 20, 53, 18, 305, 80, 180, 62, 11], [0, 0, 0, 20, 54, 12, 320, 60, 195, 56, 12], [0, 0, 0, 20, 55, 6, 335, 40, 210, 50, 13], [0, 0, 0, 20, 56, 0, 350, 20, 225, 44, 14], [0, 0, 0, 21, 36, 99, 120, 315, 9, 129, 0], [0, 0, 0, 21, 37, 93, 135, 295, 24, 123, 1], [0, 0, 0, 21, 38, 87, 150, 275, 39, 117, 2], [0, 0, 0, 21, 39, 81, 165, 255, 54, 111, 3], [0, 0, 0, 21, 40, 75, 180, 235, 69, 105, 4], [0, 0, 0, 21, 41, 69, 195, 215, 84, 99, 5], [0, 0, 0, 21, 42, 63, 210, 195, 99, 93, 6], [0, 0, 0, 21, 43, 57, 225, 175, 114, 87, 7], [0, 0, 0, 21, 44, 51, 240, 155, 129, 81, 8], [0, 0, 0, 21, 45, 45, 255, 135, 144, 75, 9], [0, 0, 0, 21, 46, 39, 270, 115, 159, 69, 10], [0, 0, 0, 21, 47, 33, 285, 95, 174, 63, 11], [0, 0, 0, 21, 48, 27, 300, 75, 189, 57, 12], [0, 0, 0, 21, 49, 21, 315, 55, 204, 51, 13], [0, 0, 0, 21, 50, 15, 330, 35, 219, 45, 14], [0, 0, 0, 21, 51, 9, 345, 15, 234, 39, 15], [0, 0, 0, 22, 30, 114, 100, 330, 3, 130, 0], [0, 0, 0, 22, 31, 108, 115, 310, 18, 124, 1], [0, 0, 0, 22, 32, 102, 130, 290, 33, 118, 2], [0, 0, 0, 22, 33, 96, 145, 270, 48, 112, 3], [0, 0, 0, 22, 34, 90, 160, 250, 63, 106, 4], [0, 0, 0, 22, 35, 84, 175, 230, 78, 100, 5], [0, 0, 0, 22, 36, 78, 190, 210, 93, 94, 6], [0, 0, 0, 22, 37, 72, 205, 190, 108, 88, 7], [0, 0, 0, 22, 38, 66, 220, 170, 123, 82, 8], [0, 0, 0, 22, 39, 60, 235, 150, 138, 76, 9], [0, 0, 0, 22, 40, 54, 250, 130, 153, 70, 10], [0, 0, 0, 22, 41, 48, 265, 110, 168, 64, 11], [0, 0, 0, 22, 42, 42, 280, 90, 183, 58, 12], [0, 0, 0, 22, 43, 36, 295, 70, 198, 52, 13], [0, 0, 0, 22, 44, 30, 310, 50, 213, 46, 14], [0, 0, 0, 22, 45, 24, 325, 30, 228, 40, 15], [0, 0, 0, 22, 46, 18, 340, 10, 243, 34, 16], [0, 0, 0, 23, 25, 123, 95, 325, 12, 125, 1], [0, 0, 0, 23, 26, 117, 110, 305, 27, 119, 2], [0, 0, 0, 23, 27, 111, 125, 285, 42, 113, 3], [0, 0, 0, 23, 28, 105, 140, 265, 57, 107, 4], [0, 0, 0, 23, 29, 99, 155, 245, 72, 101, 5], [0, 0, 0, 23, 30, 93, 170, 225, 87, 95, 6], [0, 0, 0, 23, 31, 87, 185, 205, 102, 89, 7], [0, 0, 0, 23, 32, 81, 200, 185, 117, 83, 8], [0, 0, 0, 23, 33, 75, 215, 165, 132, 77, 9], [0, 0, 0, 23, 34, 69, 230, 145, 147, 71, 10], [0, 0, 0, 23, 35, 63, 245, 125, 162, 65, 11], [0, 0, 0, 23, 36, 57, 260, 105, 177, 59, 12], [0, 0, 0, 23, 37, 51, 275, 85, 192, 53, 13], [0, 0, 0, 23, 38, 45, 290, 65, 207, 47, 14], [0, 0, 0, 23, 39, 39, 305, 45, 222, 41, 15], [0, 0, 0, 23, 40, 33, 320, 25, 237, 35, 16], [0, 0, 0, 23, 41, 27, 335, 5, 252, 29, 17], [0, 0, 0, 24, 19, 138, 75, 340, 6, 126, 1], [0, 0, 0, 24, 20, 132, 90, 320, 21, 120, 2], [0, 0, 0, 24, 21, 126, 105, 300, 36, 114, 3], [0, 0, 0, 24, 22, 120, 120, 280, 51, 108, 4], [0, 0, 0, 24, 23, 114, 135, 260, 66, 102, 5], [0, 0, 0, 24, 24, 108, 150, 240, 81, 96, 6], [0, 0, 0, 24, 25, 102, 165, 220, 96, 90, 7], [0, 0, 0, 24, 26, 96, 180, 200, 111, 84, 8], [0, 0, 0, 24, 27, 90, 195, 180, 126, 78, 9], [0, 0, 0, 24, 28, 84, 210, 160, 141, 72, 10], [0, 0, 0, 24, 29, 78, 225, 140, 156, 66, 11], [0, 0, 0, 24, 30, 72, 240, 120, 171, 60, 12], [0, 0, 0, 24, 31, 66, 255, 100, 186, 54, 13], [0, 0, 0, 24, 32, 60, 270, 80, 201, 48, 14], [0, 0, 0, 24, 33, 54, 285, 60, 216, 42, 15], [0, 0, 0, 24, 34, 48, 300, 40, 231, 36, 16], [0, 0, 0, 24, 35, 42, 315, 20, 246, 30, 17], [0, 0, 0, 24, 36, 36, 330, 0, 261, 24, 18], [0, 0, 0, 25, 13, 153, 55, 355, 0, 127, 1], [0, 0, 0, 25, 14, 147, 70, 335, 15, 121, 2], [0, 0, 0, 25, 15, 141, 85, 315, 30, 115, 3], [0, 0, 0, 25, 16, 135, 100, 295, 45, 109, 4], [0, 0, 0, 25, 17, 129, 115, 275, 60, 103, 5], [0, 0, 0, 25, 18, 123, 130, 255, 75, 97, 6], [0, 0, 0, 25, 19, 117, 145, 235, 90, 91, 7], [0, 0, 0, 25, 20, 111, 160, 215, 105, 85, 8], [0, 0, 0, 25, 21, 105, 175, 195, 120, 79, 9], [0, 0, 0, 25, 22, 99, 190, 175, 135, 73, 10], [0, 0, 0, 25, 23, 93, 205, 155, 150, 67, 11], [0, 0, 0, 25, 24, 87, 220, 135, 165, 61, 12], [0, 0, 0, 25, 25, 81, 235, 115, 180, 55, 13], [0, 0, 0, 25, 26, 75, 250, 95, 195, 49, 14], [0, 0, 0, 25, 27, 69, 265, 75, 210, 43, 15], [0, 0, 0, 25, 28, 63, 280, 55, 225, 37, 16], [0, 0, 0, 25, 29, 57, 295, 35, 240, 31, 17], [0, 0, 0, 25, 30, 51, 310, 15, 255, 25, 18], [0, 0, 0, 26, 8, 162, 50, 350, 9, 122, 2], [0, 0, 0, 26, 9, 156, 65, 330, 24, 116, 3], [0, 0, 0, 26, 10, 150, 80, 310, 39, 110, 4], [0, 0, 0, 26, 11, 144, 95, 290, 54, 104, 5], [0, 0, 0, 26, 12, 138, 110, 270, 69, 98, 6], [0, 0, 0, 26, 13, 132, 125, 250, 84, 92, 7], [0, 0, 0, 26, 14, 126, 140, 230, 99, 86, 8], [0, 0, 0, 26, 15, 120, 155, 210, 114, 80, 9], [0, 0, 0, 26, 16, 114, 170, 190, 129, 74, 10], [0, 0, 0, 26, 17, 108, 185, 170, 144, 68, 11], [0, 0, 0, 26, 18, 102, 200, 150, 159, 62, 12], [0, 0, 0, 26, 19, 96, 215, 130, 174, 56, 13], [0, 0, 0, 26, 20, 90, 230, 110, 189, 50, 14], [0, 0, 0, 26, 21, 84, 245, 90, 204, 44, 15], [0, 0, 0, 26, 22, 78, 260, 70, 219, 38, 16], [0, 0, 0, 26, 23, 72, 275, 50, 234, 32, 17], [0, 0, 0, 26, 24, 66, 290, 30, 249, 26, 18], [0, 0, 0, 26, 25, 60, 305, 10, 264, 20, 19], [0, 0, 0, 27, 2, 177, 30, 365, 3, 123, 2], [0, 0, 0, 27, 3, 171, 45, 345, 18, 117, 3], [0, 0, 0, 27, 4, 165, 60, 325, 33, 111, 4], [0, 0, 0, 27, 5, 159, 75, 305, 48, 105, 5], [0, 0, 0, 27, 6, 153, 90, 285, 63, 99, 6], [0, 0, 0, 27, 7, 147, 105, 265, 78, 93, 7], [0, 0, 0, 27, 8, 141, 120, 245, 93, 87, 8], [0, 0, 0, 27, 9, 135, 135, 225, 108, 81, 9], [0, 0, 0, 27, 10, 129, 150, 205, 123, 75, 10], [0, 0, 0, 27, 11, 123, 165, 185, 138, 69, 11], [0, 0, 0, 27, 12, 117, 180, 165, 153, 63, 12], [0, 0, 0, 27, 13, 111, 195, 145, 168, 57, 13], [0, 0, 0, 27, 14, 105, 210, 125, 183, 51, 14], [0, 0, 0, 27, 15, 99, 225, 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141, 65, 12], [0, 0, 0, 29, 1, 141, 155, 175, 156, 59, 13], [0, 0, 0, 29, 2, 135, 170, 155, 171, 53, 14], [0, 0, 0, 29, 3, 129, 185, 135, 186, 47, 15], [0, 0, 0, 29, 4, 123, 200, 115, 201, 41, 16], [0, 0, 0, 29, 5, 117, 215, 95, 216, 35, 17], [0, 0, 0, 29, 6, 111, 230, 75, 231, 29, 18], [0, 0, 0, 29, 7, 105, 245, 55, 246, 23, 19], [0, 0, 0, 29, 8, 99, 260, 35, 261, 17, 20], [0, 0, 0, 29, 9, 93, 275, 15, 276, 11, 21], [0, 0, 0, 30, 0, 126, 210, 90, 225, 30, 18], [0, 0, 0, 30, 1, 120, 225, 70, 240, 24, 19], [0, 0, 0, 30, 2, 114, 240, 50, 255, 18, 20], [0, 0, 0, 30, 3, 108, 255, 30, 270, 12, 21], [0, 0, 0, 30, 4, 102, 270, 10, 285, 6, 22], [0, 0, 1, 10, 81, 4, 235, 234, 40, 124, 0], [0, 0, 1, 11, 75, 19, 215, 249, 34, 125, 0], [0, 0, 1, 11, 76, 13, 230, 229, 49, 119, 1], [0, 0, 1, 11, 77, 7, 245, 209, 64, 113, 2], [0, 0, 1, 11, 78, 1, 260, 189, 79, 107, 3], [0, 0, 1, 12, 69, 34, 195, 264, 28, 126, 0], [0, 0, 1, 12, 70, 28, 210, 244, 43, 120, 1], [0, 0, 1, 12, 71, 22, 225, 224, 58, 114, 2], [0, 0, 1, 12, 72, 16, 240, 204, 73, 108, 3], [0, 0, 1, 12, 73, 10, 255, 184, 88, 102, 4], [0, 0, 1, 12, 74, 4, 270, 164, 103, 96, 5], [0, 0, 1, 13, 63, 49, 175, 279, 22, 127, 0], [0, 0, 1, 13, 64, 43, 190, 259, 37, 121, 1], [0, 0, 1, 13, 65, 37, 205, 239, 52, 115, 2], [0, 0, 1, 13, 66, 31, 220, 219, 67, 109, 3], [0, 0, 1, 13, 67, 25, 235, 199, 82, 103, 4], [0, 0, 1, 13, 68, 19, 250, 179, 97, 97, 5], [0, 0, 1, 13, 69, 13, 265, 159, 112, 91, 6], [0, 0, 1, 13, 70, 7, 280, 139, 127, 85, 7], [0, 0, 1, 13, 71, 1, 295, 119, 142, 79, 8], [0, 0, 1, 14, 57, 64, 155, 294, 16, 128, 0], [0, 0, 1, 14, 58, 58, 170, 274, 31, 122, 1], [0, 0, 1, 14, 59, 52, 185, 254, 46, 116, 2], [0, 0, 1, 14, 60, 46, 200, 234, 61, 110, 3], [0, 0, 1, 14, 61, 40, 215, 214, 76, 104, 4], [0, 0, 1, 14, 62, 34, 230, 194, 91, 98, 5], [0, 0, 1, 14, 63, 28, 245, 174, 106, 92, 6], [0, 0, 1, 14, 64, 22, 260, 154, 121, 86, 7], [0, 0, 1, 14, 65, 16, 275, 134, 136, 80, 8], [0, 0, 1, 14, 66, 10, 290, 114, 151, 74, 9], [0, 0, 1, 14, 67, 4, 305, 94, 166, 68, 10], [0, 0, 1, 15, 51, 79, 135, 309, 10, 129, 0], [0, 0, 1, 15, 52, 73, 150, 289, 25, 123, 1], [0, 0, 1, 15, 53, 67, 165, 269, 40, 117, 2], [0, 0, 1, 15, 54, 61, 180, 249, 55, 111, 3], [0, 0, 1, 15, 55, 55, 195, 229, 70, 105, 4], [0, 0, 1, 15, 56, 49, 210, 209, 85, 99, 5], [0, 0, 1, 15, 57, 43, 225, 189, 100, 93, 6], [0, 0, 1, 15, 58, 37, 240, 169, 115, 87, 7], [0, 0, 1, 15, 59, 31, 255, 149, 130, 81, 8], [0, 0, 1, 15, 60, 25, 270, 129, 145, 75, 9], [0, 0, 1, 15, 61, 19, 285, 109, 160, 69, 10], [0, 0, 1, 15, 62, 13, 300, 89, 175, 63, 11], [0, 0, 1, 15, 63, 7, 315, 69, 190, 57, 12], [0, 0, 1, 15, 64, 1, 330, 49, 205, 51, 13], [0, 0, 1, 16, 45, 94, 115, 324, 4, 130, 0], [0, 0, 1, 16, 46, 88, 130, 304, 19, 124, 1], [0, 0, 1, 16, 47, 82, 145, 284, 34, 118, 2], [0, 0, 1, 16, 48, 76, 160, 264, 49, 112, 3], [0, 0, 1, 16, 49, 70, 175, 244, 64, 106, 4], [0, 0, 1, 16, 50, 64, 190, 224, 79, 100, 5], [0, 0, 1, 16, 51, 58, 205, 204, 94, 94, 6], [0, 0, 1, 16, 52, 52, 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59, 208, 47, 14], [0, 0, 1, 17, 54, 19, 320, 39, 223, 41, 15], [0, 0, 1, 17, 55, 13, 335, 19, 238, 35, 16], [0, 0, 1, 18, 34, 118, 90, 334, 7, 126, 1], [0, 0, 1, 18, 35, 112, 105, 314, 22, 120, 2], [0, 0, 1, 18, 36, 106, 120, 294, 37, 114, 3], [0, 0, 1, 18, 37, 100, 135, 274, 52, 108, 4], [0, 0, 1, 18, 38, 94, 150, 254, 67, 102, 5], [0, 0, 1, 18, 39, 88, 165, 234, 82, 96, 6], [0, 0, 1, 18, 40, 82, 180, 214, 97, 90, 7], [0, 0, 1, 18, 41, 76, 195, 194, 112, 84, 8], [0, 0, 1, 18, 42, 70, 210, 174, 127, 78, 9], [0, 0, 1, 18, 43, 64, 225, 154, 142, 72, 10], [0, 0, 1, 18, 44, 58, 240, 134, 157, 66, 11], [0, 0, 1, 18, 45, 52, 255, 114, 172, 60, 12], [0, 0, 1, 18, 46, 46, 270, 94, 187, 54, 13], [0, 0, 1, 18, 47, 40, 285, 74, 202, 48, 14], [0, 0, 1, 18, 48, 34, 300, 54, 217, 42, 15], [0, 0, 1, 18, 49, 28, 315, 34, 232, 36, 16], [0, 0, 1, 18, 50, 22, 330, 14, 247, 30, 17], [0, 0, 1, 19, 28, 133, 70, 349, 1, 127, 1], [0, 0, 1, 19, 29, 127, 85, 329, 16, 121, 2], [0, 0, 1, 19, 30, 121, 100, 309, 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72, 75, 13], [0, 2, 0, 3, 46, 165, 18, 325, 87, 69, 14], [0, 2, 0, 3, 47, 159, 33, 305, 102, 63, 15], [0, 2, 0, 3, 48, 153, 48, 285, 117, 57, 16], [0, 2, 0, 3, 49, 147, 63, 265, 132, 51, 17], [0, 2, 0, 3, 50, 141, 78, 245, 147, 45, 18], [0, 2, 0, 3, 51, 135, 93, 225, 162, 39, 19], [0, 2, 0, 3, 52, 129, 108, 205, 177, 33, 20], [0, 2, 0, 3, 53, 123, 123, 185, 192, 27, 21], [0, 2, 0, 3, 54, 117, 138, 165, 207, 21, 22], [0, 2, 0, 3, 55, 111, 153, 145, 222, 15, 23], [0, 2, 0, 3, 56, 105, 168, 125, 237, 9, 24], [0, 2, 0, 3, 57, 99, 183, 105, 252, 3, 25], [0, 2, 0, 4, 41, 174, 13, 320, 96, 64, 15], [0, 2, 0, 4, 42, 168, 28, 300, 111, 58, 16], [0, 2, 0, 4, 43, 162, 43, 280, 126, 52, 17], [0, 2, 0, 4, 44, 156, 58, 260, 141, 46, 18], [0, 2, 0, 4, 45, 150, 73, 240, 156, 40, 19], [0, 2, 0, 4, 46, 144, 88, 220, 171, 34, 20], [0, 2, 0, 4, 47, 138, 103, 200, 186, 28, 21], [0, 2, 0, 4, 48, 132, 118, 180, 201, 22, 22], [0, 2, 0, 4, 49, 126, 133, 160, 216, 16, 23], [0, 2, 0, 4, 50, 120, 148, 140, 231, 10, 24], [0, 2, 0, 4, 51, 114, 163, 120, 246, 4, 25], [0, 2, 0, 5, 36, 183, 8, 315, 105, 59, 16], [0, 2, 0, 5, 37, 177, 23, 295, 120, 53, 17], [0, 2, 0, 5, 38, 171, 38, 275, 135, 47, 18], [0, 2, 0, 5, 39, 165, 53, 255, 150, 41, 19], [0, 2, 0, 5, 40, 159, 68, 235, 165, 35, 20], [0, 2, 0, 5, 41, 153, 83, 215, 180, 29, 21], [0, 2, 0, 5, 42, 147, 98, 195, 195, 23, 22], [0, 2, 0, 5, 43, 141, 113, 175, 210, 17, 23], [0, 2, 0, 5, 44, 135, 128, 155, 225, 11, 24], [0, 2, 0, 5, 45, 129, 143, 135, 240, 5, 25], [0, 2, 0, 6, 31, 192, 3, 310, 114, 54, 17], [0, 2, 0, 6, 32, 186, 18, 290, 129, 48, 18], [0, 2, 0, 6, 33, 180, 33, 270, 144, 42, 19], [0, 2, 0, 6, 34, 174, 48, 250, 159, 36, 20], [0, 2, 0, 6, 35, 168, 63, 230, 174, 30, 21], [0, 2, 0, 6, 36, 162, 78, 210, 189, 24, 22], [0, 2, 0, 6, 37, 156, 93, 190, 204, 18, 23], [0, 2, 0, 6, 38, 150, 108, 170, 219, 12, 24], [0, 2, 0, 6, 39, 144, 123, 150, 234, 6, 25], [0, 2, 0, 6, 40, 138, 138, 130, 249, 0, 26], [0, 2, 0, 7, 27, 195, 13, 285, 138, 43, 19], [0, 2, 0, 7, 28, 189, 28, 265, 153, 37, 20], [0, 2, 0, 7, 29, 183, 43, 245, 168, 31, 21], [0, 2, 0, 7, 30, 177, 58, 225, 183, 25, 22], [0, 2, 0, 7, 31, 171, 73, 205, 198, 19, 23], [0, 2, 0, 7, 32, 165, 88, 185, 213, 13, 24], [0, 2, 0, 7, 33, 159, 103, 165, 228, 7, 25], [0, 2, 0, 7, 34, 153, 118, 145, 243, 1, 26], [0, 2, 0, 8, 22, 204, 8, 280, 147, 38, 20], [0, 2, 0, 8, 23, 198, 23, 260, 162, 32, 21], [0, 2, 0, 8, 24, 192, 38, 240, 177, 26, 22], [0, 2, 0, 8, 25, 186, 53, 220, 192, 20, 23], [0, 2, 0, 8, 26, 180, 68, 200, 207, 14, 24], [0, 2, 0, 8, 27, 174, 83, 180, 222, 8, 25], [0, 2, 0, 8, 28, 168, 98, 160, 237, 2, 26], [0, 2, 0, 9, 17, 213, 3, 275, 156, 33, 21], [0, 2, 0, 9, 18, 207, 18, 255, 171, 27, 22], [0, 2, 0, 9, 19, 201, 33, 235, 186, 21, 23], [0, 2, 0, 9, 20, 195, 48, 215, 201, 15, 24], [0, 2, 0, 9, 21, 189, 63, 195, 216, 9, 25], [0, 2, 0, 9, 22, 183, 78, 175, 231, 3, 26], [0, 2, 0, 10, 13, 216, 13, 250, 180, 22, 23], [0, 2, 0, 10, 14, 210, 28, 230, 195, 16, 24], [0, 2, 0, 10, 15, 204, 43, 210, 210, 10, 25], [0, 2, 0, 10, 16, 198, 58, 190, 225, 4, 26], [0, 2, 0, 11, 8, 225, 8, 245, 189, 17, 24], [0, 2, 0, 11, 9, 219, 23, 225, 204, 11, 25], [0, 2, 0, 11, 10, 213, 38, 205, 219, 5, 26], [0, 2, 0, 12, 3, 234, 3, 240, 198, 12, 25], [0, 2, 0, 12, 4, 228, 18, 220, 213, 6, 26], [0, 2, 0, 12, 5, 222, 33, 200, 228, 0, 27], [0, 2, 1, 0, 45, 178, 3, 324, 100, 60, 16], [0, 2, 1, 0, 46, 172, 18, 304, 115, 54, 17], [0, 2, 1, 0, 47, 166, 33, 284, 130, 48, 18], [0, 2, 1, 0, 48, 160, 48, 264, 145, 42, 19], [0, 2, 1, 0, 49, 154, 63, 244, 160, 36, 20], [0, 2, 1, 0, 50, 148, 78, 224, 175, 30, 21], [0, 2, 1, 0, 51, 142, 93, 204, 190, 24, 22], [0, 2, 1, 0, 52, 136, 108, 184, 205, 18, 23], [0, 2, 1, 0, 53, 130, 123, 164, 220, 12, 24], [0, 2, 1, 0, 54, 124, 138, 144, 235, 6, 25], [0, 2, 1, 0, 55, 118, 153, 124, 250, 0, 26], [0, 2, 1, 1, 41, 181, 13, 299, 124, 49, 18], [0, 2, 1, 1, 42, 175, 28, 279, 139, 43, 19], [0, 2, 1, 1, 43, 169, 43, 259, 154, 37, 20], [0, 2, 1, 1, 44, 163, 58, 239, 169, 31, 21], [0, 2, 1, 1, 45, 157, 73, 219, 184, 25, 22], [0, 2, 1, 1, 46, 151, 88, 199, 199, 19, 23], [0, 2, 1, 1, 47, 145, 103, 179, 214, 13, 24], [0, 2, 1, 1, 48, 139, 118, 159, 229, 7, 25], [0, 2, 1, 1, 49, 133, 133, 139, 244, 1, 26], [0, 2, 1, 2, 36, 190, 8, 294, 133, 44, 19], [0, 2, 1, 2, 37, 184, 23, 274, 148, 38, 20], [0, 2, 1, 2, 38, 178, 38, 254, 163, 32, 21], [0, 2, 1, 2, 39, 172, 53, 234, 178, 26, 22], [0, 2, 1, 2, 40, 166, 68, 214, 193, 20, 23], [0, 2, 1, 2, 41, 160, 83, 194, 208, 14, 24], [0, 2, 1, 2, 42, 154, 98, 174, 223, 8, 25], [0, 2, 1, 2, 43, 148, 113, 154, 238, 2, 26], [0, 2, 1, 3, 31, 199, 3, 289, 142, 39, 20], [0, 2, 1, 3, 32, 193, 18, 269, 157, 33, 21], [0, 2, 1, 3, 33, 187, 33, 249, 172, 27, 22], [0, 2, 1, 3, 34, 181, 48, 229, 187, 21, 23], [0, 2, 1, 3, 35, 175, 63, 209, 202, 15, 24], [0, 2, 1, 3, 36, 169, 78, 189, 217, 9, 25], [0, 2, 1, 3, 37, 163, 93, 169, 232, 3, 26], [0, 2, 1, 4, 27, 202, 13, 264, 166, 28, 22], [0, 2, 1, 4, 28, 196, 28, 244, 181, 22, 23], [0, 2, 1, 4, 29, 190, 43, 224, 196, 16, 24], [0, 2, 1, 4, 30, 184, 58, 204, 211, 10, 25], [0, 2, 1, 4, 31, 178, 73, 184, 226, 4, 26], [0, 2, 1, 5, 22, 211, 8, 259, 175, 23, 23], [0, 2, 1, 5, 23, 205, 23, 239, 190, 17, 24], [0, 2, 1, 5, 24, 199, 38, 219, 205, 11, 25], [0, 2, 1, 5, 25, 193, 53, 199, 220, 5, 26], [0, 2, 1, 6, 17, 220, 3, 254, 184, 18, 24], [0, 2, 1, 6, 18, 214, 18, 234, 199, 12, 25], [0, 2, 1, 6, 19, 208, 33, 214, 214, 6, 26], [0, 2, 1, 6, 20, 202, 48, 194, 229, 0, 27], [0, 2, 1, 7, 13, 223, 13, 229, 208, 7, 26], [0, 2, 1, 7, 14, 217, 28, 209, 223, 1, 27], [0, 2, 1, 8, 8, 232, 8, 224, 217, 2, 27], [0, 2, 2, 0, 31, 206, 3, 268, 170, 24, 23], [0, 2, 2, 0, 32, 200, 18, 248, 185, 18, 24], [0, 2, 2, 0, 33, 194, 33, 228, 200, 12, 25], [0, 2, 2, 0, 34, 188, 48, 208, 215, 6, 26], [0, 2, 2, 0, 35, 182, 63, 188, 230, 0, 27], [0, 2, 2, 1, 27, 209, 13, 243, 194, 13, 25], [0, 2, 2, 1, 28, 203, 28, 223, 209, 7, 26], [0, 2, 2, 1, 29, 197, 43, 203, 224, 1, 27], [0, 2, 2, 2, 22, 218, 8, 238, 203, 8, 26], [0, 2, 2, 2, 23, 212, 23, 218, 218, 2, 27], [0, 2, 2, 3, 17, 227, 3, 233, 212, 3, 27]} (11, 729, 5) has 11298 possible DDs: {[0, 0, 0, 0, 52, 48, 6, 400, 15, 138, 70, 0], [0, 0, 0, 0, 53, 42, 21, 380, 30, 132, 71, 0], [0, 0, 0, 0, 53, 43, 15, 395, 10, 147, 65, 1], [0, 0, 0, 0, 54, 36, 36, 360, 45, 126, 72, 0], [0, 0, 0, 0, 54, 37, 30, 375, 25, 141, 66, 1], [0, 0, 0, 0, 54, 38, 24, 390, 5, 156, 60, 2], [0, 0, 0, 0, 55, 30, 51, 340, 60, 120, 73, 0], [0, 0, 0, 0, 55, 31, 45, 355, 40, 135, 67, 1], [0, 0, 0, 0, 55, 32, 39, 370, 20, 150, 61, 2], [0, 0, 0, 0, 55, 33, 33, 385, 0, 165, 55, 3], [0, 0, 0, 0, 56, 24, 66, 320, 75, 114, 74, 0], [0, 0, 0, 0, 56, 25, 60, 335, 55, 129, 68, 1], [0, 0, 0, 0, 56, 26, 54, 350, 35, 144, 62, 2], [0, 0, 0, 0, 56, 27, 48, 365, 15, 159, 56, 3], [0, 0, 0, 0, 57, 18, 81, 300, 90, 108, 75, 0], [0, 0, 0, 0, 57, 19, 75, 315, 70, 123, 69, 1], [0, 0, 0, 0, 57, 20, 69, 330, 50, 138, 63, 2], [0, 0, 0, 0, 57, 21, 63, 345, 30, 153, 57, 3], [0, 0, 0, 0, 57, 22, 57, 360, 10, 168, 51, 4], [0, 0, 0, 0, 58, 12, 96, 280, 105, 102, 76, 0], [0, 0, 0, 0, 58, 13, 90, 295, 85, 117, 70, 1], [0, 0, 0, 0, 58, 14, 84, 310, 65, 132, 64, 2], [0, 0, 0, 0, 58, 15, 78, 325, 45, 147, 58, 3], [0, 0, 0, 0, 58, 16, 72, 340, 25, 162, 52, 4], [0, 0, 0, 0, 58, 17, 66, 355, 5, 177, 46, 5], [0, 0, 0, 0, 59, 6, 111, 260, 120, 96, 77, 0], [0, 0, 0, 0, 59, 7, 105, 275, 100, 111, 71, 1], [0, 0, 0, 0, 59, 8, 99, 290, 80, 126, 65, 2], [0, 0, 0, 0, 59, 9, 93, 305, 60, 141, 59, 3], [0, 0, 0, 0, 59, 10, 87, 320, 40, 156, 53, 4], [0, 0, 0, 0, 59, 11, 81, 335, 20, 171, 47, 5], [0, 0, 0, 0, 59, 12, 75, 350, 0, 186, 41, 6], [0, 0, 0, 0, 60, 0, 126, 240, 135, 90, 78, 0], [0, 0, 0, 0, 60, 1, 120, 255, 115, 105, 72, 1], [0, 0, 0, 0, 60, 2, 114, 270, 95, 120, 66, 2], [0, 0, 0, 0, 60, 3, 108, 285, 75, 135, 60, 3], [0, 0, 0, 0, 60, 4, 102, 300, 55, 150, 54, 4], [0, 0, 0, 0, 60, 5, 96, 315, 35, 165, 48, 5], [0, 0, 0, 0, 60, 6, 90, 330, 15, 180, 42, 6], [0, 0, 0, 0, 61, 0, 105, 310, 30, 174, 43, 6], [0, 0, 0, 0, 61, 1, 99, 325, 10, 189, 37, 7], [0, 0, 0, 1, 47, 57, 1, 395, 24, 133, 71, 0], [0, 0, 0, 1, 48, 51, 16, 375, 39, 127, 72, 0], [0, 0, 0, 1, 48, 52, 10, 390, 19, 142, 66, 1], [0, 0, 0, 1, 49, 45, 31, 355, 54, 121, 73, 0], [0, 0, 0, 1, 49, 46, 25, 370, 34, 136, 67, 1], [0, 0, 0, 1, 49, 47, 19, 385, 14, 151, 61, 2], [0, 0, 0, 1, 50, 39, 46, 335, 69, 115, 74, 0], [0, 0, 0, 1, 50, 40, 40, 350, 49, 130, 68, 1], [0, 0, 0, 1, 50, 41, 34, 365, 29, 145, 62, 2], [0, 0, 0, 1, 50, 42, 28, 380, 9, 160, 56, 3], [0, 0, 0, 1, 51, 33, 61, 315, 84, 109, 75, 0], [0, 0, 0, 1, 51, 34, 55, 330, 64, 124, 69, 1], [0, 0, 0, 1, 51, 35, 49, 345, 44, 139, 63, 2], [0, 0, 0, 1, 51, 36, 43, 360, 24, 154, 57, 3], [0, 0, 0, 1, 51, 37, 37, 375, 4, 169, 51, 4], [0, 0, 0, 1, 52, 27, 76, 295, 99, 103, 76, 0], [0, 0, 0, 1, 52, 28, 70, 310, 79, 118, 70, 1], [0, 0, 0, 1, 52, 29, 64, 325, 59, 133, 64, 2], [0, 0, 0, 1, 52, 30, 58, 340, 39, 148, 58, 3], [0, 0, 0, 1, 52, 31, 52, 355, 19, 163, 52, 4], [0, 0, 0, 1, 53, 21, 91, 275, 114, 97, 77, 0], [0, 0, 0, 1, 53, 22, 85, 290, 94, 112, 71, 1], [0, 0, 0, 1, 53, 23, 79, 305, 74, 127, 65, 2], [0, 0, 0, 1, 53, 24, 73, 320, 54, 142, 59, 3], [0, 0, 0, 1, 53, 25, 67, 335, 34, 157, 53, 4], [0, 0, 0, 1, 53, 26, 61, 350, 14, 172, 47, 5], [0, 0, 0, 1, 54, 15, 106, 255, 129, 91, 78, 0], [0, 0, 0, 1, 54, 16, 100, 270, 109, 106, 72, 1], [0, 0, 0, 1, 54, 17, 94, 285, 89, 121, 66, 2], [0, 0, 0, 1, 54, 18, 88, 300, 69, 136, 60, 3], [0, 0, 0, 1, 54, 19, 82, 315, 49, 151, 54, 4], [0, 0, 0, 1, 54, 20, 76, 330, 29, 166, 48, 5], [0, 0, 0, 1, 54, 21, 70, 345, 9, 181, 42, 6], [0, 0, 0, 1, 55, 9, 121, 235, 144, 85, 79, 0], [0, 0, 0, 1, 55, 10, 115, 250, 124, 100, 73, 1], [0, 0, 0, 1, 55, 11, 109, 265, 104, 115, 67, 2], [0, 0, 0, 1, 55, 12, 103, 280, 84, 130, 61, 3], [0, 0, 0, 1, 55, 13, 97, 295, 64, 145, 55, 4], [0, 0, 0, 1, 55, 14, 91, 310, 44, 160, 49, 5], [0, 0, 0, 1, 55, 15, 85, 325, 24, 175, 43, 6], [0, 0, 0, 1, 55, 16, 79, 340, 4, 190, 37, 7], [0, 0, 0, 1, 56, 3, 136, 215, 159, 79, 80, 0], [0, 0, 0, 1, 56, 4, 130, 230, 139, 94, 74, 1], [0, 0, 0, 1, 56, 5, 124, 245, 119, 109, 68, 2], [0, 0, 0, 1, 56, 6, 118, 260, 99, 124, 62, 3], [0, 0, 0, 1, 56, 7, 112, 275, 79, 139, 56, 4], [0, 0, 0, 1, 56, 8, 106, 290, 59, 154, 50, 5], [0, 0, 0, 1, 56, 9, 100, 305, 39, 169, 44, 6], [0, 0, 0, 1, 56, 10, 94, 320, 19, 184, 38, 7], [0, 0, 0, 1, 57, 0, 133, 240, 114, 118, 63, 3], [0, 0, 0, 1, 57, 1, 127, 255, 94, 133, 57, 4], [0, 0, 0, 1, 57, 2, 121, 270, 74, 148, 51, 5], [0, 0, 0, 1, 57, 3, 115, 285, 54, 163, 45, 6], [0, 0, 0, 1, 57, 4, 109, 300, 34, 178, 39, 7], [0, 0, 0, 1, 57, 5, 103, 315, 14, 193, 33, 8], [0, 0, 0, 1, 58, 0, 112, 310, 9, 202, 28, 9], [0, 0, 0, 2, 43, 60, 11, 370, 48, 122, 73, 0], [0, 0, 0, 2, 43, 61, 5, 385, 28, 137, 67, 1], [0, 0, 0, 2, 44, 54, 26, 350, 63, 116, 74, 0], [0, 0, 0, 2, 44, 55, 20, 365, 43, 131, 68, 1], [0, 0, 0, 2, 44, 56, 14, 380, 23, 146, 62, 2], [0, 0, 0, 2, 44, 57, 8, 395, 3, 161, 56, 3], [0, 0, 0, 2, 45, 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10, 81, 186, 13, 285, 120, 12, 19], [0, 1, 2, 0, 10, 82, 180, 28, 265, 135, 6, 20], [0, 1, 2, 0, 10, 83, 174, 43, 245, 150, 0, 21], [0, 1, 2, 0, 11, 76, 195, 8, 280, 129, 7, 20], [0, 1, 2, 0, 11, 77, 189, 23, 260, 144, 1, 21], [0, 1, 2, 0, 12, 71, 204, 3, 275, 138, 2, 21], [0, 1, 2, 1, 0, 113, 148, 3, 359, 40, 50, 12], [0, 1, 2, 1, 0, 114, 142, 18, 339, 55, 44, 13], [0, 1, 2, 1, 0, 115, 136, 33, 319, 70, 38, 14], [0, 1, 2, 1, 0, 116, 130, 48, 299, 85, 32, 15], [0, 1, 2, 1, 0, 117, 124, 63, 279, 100, 26, 16], [0, 1, 2, 1, 0, 118, 118, 78, 259, 115, 20, 17], [0, 1, 2, 1, 0, 119, 112, 93, 239, 130, 14, 18], [0, 1, 2, 1, 0, 120, 106, 108, 219, 145, 8, 19], [0, 1, 2, 1, 0, 121, 100, 123, 199, 160, 2, 20], [0, 1, 2, 1, 1, 109, 151, 13, 334, 64, 39, 14], [0, 1, 2, 1, 1, 110, 145, 28, 314, 79, 33, 15], [0, 1, 2, 1, 1, 111, 139, 43, 294, 94, 27, 16], [0, 1, 2, 1, 1, 112, 133, 58, 274, 109, 21, 17], [0, 1, 2, 1, 1, 113, 127, 73, 254, 124, 15, 18], [0, 1, 2, 1, 1, 114, 121, 88, 234, 139, 9, 19], [0, 1, 2, 1, 1, 115, 115, 103, 214, 154, 3, 20], [0, 1, 2, 1, 2, 104, 160, 8, 329, 73, 34, 15], [0, 1, 2, 1, 2, 105, 154, 23, 309, 88, 28, 16], [0, 1, 2, 1, 2, 106, 148, 38, 289, 103, 22, 17], [0, 1, 2, 1, 2, 107, 142, 53, 269, 118, 16, 18], [0, 1, 2, 1, 2, 108, 136, 68, 249, 133, 10, 19], [0, 1, 2, 1, 2, 109, 130, 83, 229, 148, 4, 20], [0, 1, 2, 1, 3, 99, 169, 3, 324, 82, 29, 16], [0, 1, 2, 1, 3, 100, 163, 18, 304, 97, 23, 17], [0, 1, 2, 1, 3, 101, 157, 33, 284, 112, 17, 18], [0, 1, 2, 1, 3, 102, 151, 48, 264, 127, 11, 19], [0, 1, 2, 1, 3, 103, 145, 63, 244, 142, 5, 20], [0, 1, 2, 1, 4, 95, 172, 13, 299, 106, 18, 18], [0, 1, 2, 1, 4, 96, 166, 28, 279, 121, 12, 19], [0, 1, 2, 1, 4, 97, 160, 43, 259, 136, 6, 20], [0, 1, 2, 1, 4, 98, 154, 58, 239, 151, 0, 21], [0, 1, 2, 1, 5, 90, 181, 8, 294, 115, 13, 19], [0, 1, 2, 1, 5, 91, 175, 23, 274, 130, 7, 20], [0, 1, 2, 1, 5, 92, 169, 38, 254, 145, 1, 21], [0, 1, 2, 1, 6, 85, 190, 3, 289, 124, 8, 20], [0, 1, 2, 1, 6, 86, 184, 18, 269, 139, 2, 21], [0, 1, 2, 2, 0, 99, 176, 3, 303, 110, 14, 19], [0, 1, 2, 2, 0, 100, 170, 18, 283, 125, 8, 20], [0, 1, 2, 2, 0, 101, 164, 33, 263, 140, 2, 21], [0, 1, 2, 2, 1, 95, 179, 13, 278, 134, 3, 21], [0, 2, 0, 0, 0, 124, 138, 0, 355, 60, 34, 16], [0, 2, 0, 0, 0, 125, 132, 15, 335, 75, 28, 17], [0, 2, 0, 0, 0, 126, 126, 30, 315, 90, 22, 18], [0, 2, 0, 0, 0, 127, 120, 45, 295, 105, 16, 19], [0, 2, 0, 0, 0, 128, 114, 60, 275, 120, 10, 20], [0, 2, 0, 0, 0, 129, 108, 75, 255, 135, 4, 21], [0, 2, 0, 0, 1, 120, 141, 10, 330, 84, 23, 18], [0, 2, 0, 0, 1, 121, 135, 25, 310, 99, 17, 19], [0, 2, 0, 0, 1, 122, 129, 40, 290, 114, 11, 20], [0, 2, 0, 0, 1, 123, 123, 55, 270, 129, 5, 21], [0, 2, 0, 0, 2, 115, 150, 5, 325, 93, 18, 19], [0, 2, 0, 0, 2, 116, 144, 20, 305, 108, 12, 20], [0, 2, 0, 0, 2, 117, 138, 35, 285, 123, 6, 21], [0, 2, 0, 0, 2, 118, 132, 50, 265, 138, 0, 22], [0, 2, 0, 0, 3, 110, 159, 0, 320, 102, 13, 20], [0, 2, 0, 0, 3, 111, 153, 15, 300, 117, 7, 21], [0, 2, 0, 0, 3, 112, 147, 30, 280, 132, 1, 22], [0, 2, 0, 0, 4, 106, 162, 10, 295, 126, 2, 22]} (12, 729, 5) has 44314 possible DDs: {[0, 0, 0, 0, 14, 66, 12, 134, 315, 6, 140, 42, 0], [0, 0, 0, 0, 14, 67, 6, 149, 295, 21, 134, 43, 0], [0, 0, 0, 0, 14, 67, 7, 143, 310, 1, 149, 37, 1], [0, 0, 0, 0, 14, 68, 0, 164, 275, 36, 128, 44, 0], [0, 0, 0, 0, 14, 68, 1, 158, 290, 16, 143, 38, 1], [0, 0, 0, 0, 15, 60, 27, 114, 330, 0, 141, 42, 0], [0, 0, 0, 0, 15, 61, 21, 129, 310, 15, 135, 43, 0], [0, 0, 0, 0, 15, 62, 15, 144, 290, 30, 129, 44, 0], [0, 0, 0, 0, 15, 62, 16, 138, 305, 10, 144, 38, 1], [0, 0, 0, 0, 15, 63, 9, 159, 270, 45, 123, 45, 0], [0, 0, 0, 0, 15, 63, 10, 153, 285, 25, 138, 39, 1], [0, 0, 0, 0, 15, 63, 11, 147, 300, 5, 153, 33, 2], [0, 0, 0, 0, 15, 64, 3, 174, 250, 60, 117, 46, 0], [0, 0, 0, 0, 15, 64, 4, 168, 265, 40, 132, 40, 1], [0, 0, 0, 0, 15, 64, 5, 162, 280, 20, 147, 34, 2], [0, 0, 0, 0, 15, 64, 6, 156, 295, 0, 162, 28, 3], [0, 0, 0, 0, 15, 65, 0, 171, 275, 15, 156, 29, 3], [0, 0, 0, 0, 16, 55, 36, 109, 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