------- (11, 704, 6) ALL distance distributions (6, 704, 6) has 1 possible DDs: {[11, 66, 165, 220, 165, 66, 11]} (7, 704, 6) has 12 possible DDs: {[0, 77, 0, 385, 0, 231, 0, 11], [1, 70, 21, 350, 35, 210, 7, 10], [2, 63, 42, 315, 70, 189, 14, 9], [3, 56, 63, 280, 105, 168, 21, 8], [4, 49, 84, 245, 140, 147, 28, 7], [5, 42, 105, 210, 175, 126, 35, 6], [6, 35, 126, 175, 210, 105, 42, 5], [7, 28, 147, 140, 245, 84, 49, 4], [8, 21, 168, 105, 280, 63, 56, 3], [9, 14, 189, 70, 315, 42, 63, 2], [10, 7, 210, 35, 350, 21, 70, 1], [11, 0, 231, 0, 385, 0, 77, 0]} (8, 704, 6) has 42 possible DDs: {[0, 38, 42, 182, 210, 98, 126, 2, 6], [0, 39, 35, 203, 175, 133, 105, 9, 5], [0, 40, 28, 224, 140, 168, 84, 16, 4], [0, 41, 21, 245, 105, 203, 63, 23, 3], [0, 42, 14, 266, 70, 238, 42, 30, 2], [0, 43, 7, 287, 35, 273, 21, 37, 1], [0, 44, 0, 308, 0, 308, 0, 44, 0], [1, 31, 63, 147, 245, 77, 133, 1, 6], [1, 32, 56, 168, 210, 112, 112, 8, 5], [1, 33, 49, 189, 175, 147, 91, 15, 4], [1, 34, 42, 210, 140, 182, 70, 22, 3], [1, 35, 35, 231, 105, 217, 49, 29, 2], [1, 36, 28, 252, 70, 252, 28, 36, 1], [1, 37, 21, 273, 35, 287, 7, 43, 0], [2, 24, 84, 112, 280, 56, 140, 0, 6], [2, 25, 77, 133, 245, 91, 119, 7, 5], [2, 26, 70, 154, 210, 126, 98, 14, 4], [2, 27, 63, 175, 175, 161, 77, 21, 3], [2, 28, 56, 196, 140, 196, 56, 28, 2], [2, 29, 49, 217, 105, 231, 35, 35, 1], [2, 30, 42, 238, 70, 266, 14, 42, 0], [3, 18, 98, 98, 280, 70, 126, 6, 5], [3, 19, 91, 119, 245, 105, 105, 13, 4], [3, 20, 84, 140, 210, 140, 84, 20, 3], [3, 21, 77, 161, 175, 175, 63, 27, 2], [3, 22, 70, 182, 140, 210, 42, 34, 1], [3, 23, 63, 203, 105, 245, 21, 41, 0], [4, 11, 119, 63, 315, 49, 133, 5, 5], [4, 12, 112, 84, 280, 84, 112, 12, 4], [4, 13, 105, 105, 245, 119, 91, 19, 3], [4, 14, 98, 126, 210, 154, 70, 26, 2], [4, 15, 91, 147, 175, 189, 49, 33, 1], [4, 16, 84, 168, 140, 224, 28, 40, 0], [5, 4, 140, 28, 350, 28, 140, 4, 5], [5, 5, 133, 49, 315, 63, 119, 11, 4], [5, 6, 126, 70, 280, 98, 98, 18, 3], [5, 7, 119, 91, 245, 133, 77, 25, 2], [5, 8, 112, 112, 210, 168, 56, 32, 1], [5, 9, 105, 133, 175, 203, 35, 39, 0], [6, 0, 140, 56, 280, 112, 84, 24, 2], [6, 1, 133, 77, 245, 147, 63, 31, 1], [6, 2, 126, 98, 210, 182, 42, 38, 0]} (9, 704, 6) has 142 possible DDs: {[0, 14, 74, 14, 350, 14, 182, 50, 2, 4], [0, 15, 67, 35, 315, 49, 161, 57, 1, 4], [0, 15, 68, 28, 336, 14, 196, 36, 8, 3], [0, 16, 60, 56, 280, 84, 140, 64, 0, 4], [0, 16, 61, 49, 301, 49, 175, 43, 7, 3], [0, 16, 62, 42, 322, 14, 210, 22, 14, 2], [0, 17, 54, 70, 266, 84, 154, 50, 6, 3], [0, 17, 55, 63, 287, 49, 189, 29, 13, 2], [0, 17, 56, 56, 308, 14, 224, 8, 20, 1], [0, 18, 47, 91, 231, 119, 133, 57, 5, 3], [0, 18, 48, 84, 252, 84, 168, 36, 12, 2], [0, 18, 49, 77, 273, 49, 203, 15, 19, 1], [0, 19, 40, 112, 196, 154, 112, 64, 4, 3], [0, 19, 41, 105, 217, 119, 147, 43, 11, 2], [0, 19, 42, 98, 238, 84, 182, 22, 18, 1], [0, 19, 43, 91, 259, 49, 217, 1, 25, 0], [0, 20, 33, 133, 161, 189, 91, 71, 3, 3], [0, 20, 34, 126, 182, 154, 126, 50, 10, 2], [0, 20, 35, 119, 203, 119, 161, 29, 17, 1], [0, 20, 36, 112, 224, 84, 196, 8, 24, 0], [0, 21, 26, 154, 126, 224, 70, 78, 2, 3], [0, 21, 27, 147, 147, 189, 105, 57, 9, 2], [0, 21, 28, 140, 168, 154, 140, 36, 16, 1], [0, 21, 29, 133, 189, 119, 175, 15, 23, 0], [0, 22, 19, 175, 91, 259, 49, 85, 1, 3], [0, 22, 20, 168, 112, 224, 84, 64, 8, 2], [0, 22, 21, 161, 133, 189, 119, 43, 15, 1], [0, 22, 22, 154, 154, 154, 154, 22, 22, 0], [0, 23, 12, 196, 56, 294, 28, 92, 0, 3], [0, 23, 13, 189, 77, 259, 63, 71, 7, 2], [0, 23, 14, 182, 98, 224, 98, 50, 14, 1], [0, 23, 15, 175, 119, 189, 133, 29, 21, 0], [0, 24, 6, 210, 42, 294, 42, 78, 6, 2], [0, 24, 7, 203, 63, 259, 77, 57, 13, 1], [0, 24, 8, 196, 84, 224, 112, 36, 20, 0], [0, 25, 0, 224, 28, 294, 56, 64, 12, 1], [0, 25, 1, 217, 49, 259, 91, 43, 19, 0], [1, 8, 88, 0, 350, 28, 168, 56, 1, 4], [1, 9, 81, 21, 315, 63, 147, 63, 0, 4], [1, 9, 82, 14, 336, 28, 182, 42, 7, 3], [1, 10, 75, 35, 301, 63, 161, 49, 6, 3], [1, 10, 76, 28, 322, 28, 196, 28, 13, 2], [1, 11, 68, 56, 266, 98, 140, 56, 5, 3], [1, 11, 69, 49, 287, 63, 175, 35, 12, 2], [1, 11, 70, 42, 308, 28, 210, 14, 19, 1], [1, 12, 61, 77, 231, 133, 119, 63, 4, 3], [1, 12, 62, 70, 252, 98, 154, 42, 11, 2], [1, 12, 63, 63, 273, 63, 189, 21, 18, 1], [1, 12, 64, 56, 294, 28, 224, 0, 25, 0], [1, 13, 54, 98, 196, 168, 98, 70, 3, 3], [1, 13, 55, 91, 217, 133, 133, 49, 10, 2], [1, 13, 56, 84, 238, 98, 168, 28, 17, 1], [1, 13, 57, 77, 259, 63, 203, 7, 24, 0], [1, 14, 47, 119, 161, 203, 77, 77, 2, 3], [1, 14, 48, 112, 182, 168, 112, 56, 9, 2], [1, 14, 49, 105, 203, 133, 147, 35, 16, 1], [1, 14, 50, 98, 224, 98, 182, 14, 23, 0], [1, 15, 40, 140, 126, 238, 56, 84, 1, 3], [1, 15, 41, 133, 147, 203, 91, 63, 8, 2], [1, 15, 42, 126, 168, 168, 126, 42, 15, 1], [1, 15, 43, 119, 189, 133, 161, 21, 22, 0], [1, 16, 33, 161, 91, 273, 35, 91, 0, 3], [1, 16, 34, 154, 112, 238, 70, 70, 7, 2], [1, 16, 35, 147, 133, 203, 105, 49, 14, 1], [1, 16, 36, 140, 154, 168, 140, 28, 21, 0], [1, 17, 27, 175, 77, 273, 49, 77, 6, 2], [1, 17, 28, 168, 98, 238, 84, 56, 13, 1], [1, 17, 29, 161, 119, 203, 119, 35, 20, 0], [1, 18, 20, 196, 42, 308, 28, 84, 5, 2], [1, 18, 21, 189, 63, 273, 63, 63, 12, 1], [1, 18, 22, 182, 84, 238, 98, 42, 19, 0], [1, 19, 13, 217, 7, 343, 7, 91, 4, 2], [1, 19, 14, 210, 28, 308, 42, 70, 11, 1], [1, 19, 15, 203, 49, 273, 77, 49, 18, 0], [1, 20, 8, 224, 14, 308, 56, 56, 17, 0], [2, 3, 96, 0, 336, 42, 168, 48, 6, 3], [2, 4, 89, 21, 301, 77, 147, 55, 5, 3], [2, 4, 90, 14, 322, 42, 182, 34, 12, 2], [2, 4, 91, 7, 343, 7, 217, 13, 19, 1], [2, 5, 82, 42, 266, 112, 126, 62, 4, 3], [2, 5, 83, 35, 287, 77, 161, 41, 11, 2], [2, 5, 84, 28, 308, 42, 196, 20, 18, 1], [2, 6, 75, 63, 231, 147, 105, 69, 3, 3], [2, 6, 76, 56, 252, 112, 140, 48, 10, 2], [2, 6, 77, 49, 273, 77, 175, 27, 17, 1], [2, 6, 78, 42, 294, 42, 210, 6, 24, 0], [2, 7, 68, 84, 196, 182, 84, 76, 2, 3], [2, 7, 69, 77, 217, 147, 119, 55, 9, 2], [2, 7, 70, 70, 238, 112, 154, 34, 16, 1], [2, 7, 71, 63, 259, 77, 189, 13, 23, 0], [2, 8, 61, 105, 161, 217, 63, 83, 1, 3], [2, 8, 62, 98, 182, 182, 98, 62, 8, 2], [2, 8, 63, 91, 203, 147, 133, 41, 15, 1], [2, 8, 64, 84, 224, 112, 168, 20, 22, 0], [2, 9, 54, 126, 126, 252, 42, 90, 0, 3], [2, 9, 55, 119, 147, 217, 77, 69, 7, 2], [2, 9, 56, 112, 168, 182, 112, 48, 14, 1], [2, 9, 57, 105, 189, 147, 147, 27, 21, 0], [2, 10, 48, 140, 112, 252, 56, 76, 6, 2], [2, 10, 49, 133, 133, 217, 91, 55, 13, 1], [2, 10, 50, 126, 154, 182, 126, 34, 20, 0], [2, 11, 41, 161, 77, 287, 35, 83, 5, 2], [2, 11, 42, 154, 98, 252, 70, 62, 12, 1], [2, 11, 43, 147, 119, 217, 105, 41, 19, 0], [2, 12, 34, 182, 42, 322, 14, 90, 4, 2], [2, 12, 35, 175, 63, 287, 49, 69, 11, 1], [2, 12, 36, 168, 84, 252, 84, 48, 18, 0], [2, 13, 28, 196, 28, 322, 28, 76, 10, 1], [2, 13, 29, 189, 49, 287, 63, 55, 17, 0], [2, 14, 22, 210, 14, 322, 42, 62, 16, 0], [3, 0, 89, 49, 231, 161, 91, 75, 2, 3], [3, 0, 90, 42, 252, 126, 126, 54, 9, 2], [3, 0, 91, 35, 273, 91, 161, 33, 16, 1], [3, 0, 92, 28, 294, 56, 196, 12, 23, 0], [3, 1, 82, 70, 196, 196, 70, 82, 1, 3], [3, 1, 83, 63, 217, 161, 105, 61, 8, 2], [3, 1, 84, 56, 238, 126, 140, 40, 15, 1], [3, 1, 85, 49, 259, 91, 175, 19, 22, 0], [3, 2, 75, 91, 161, 231, 49, 89, 0, 3], [3, 2, 76, 84, 182, 196, 84, 68, 7, 2], [3, 2, 77, 77, 203, 161, 119, 47, 14, 1], [3, 2, 78, 70, 224, 126, 154, 26, 21, 0], [3, 3, 69, 105, 147, 231, 63, 75, 6, 2], [3, 3, 70, 98, 168, 196, 98, 54, 13, 1], [3, 3, 71, 91, 189, 161, 133, 33, 20, 0], [3, 4, 62, 126, 112, 266, 42, 82, 5, 2], [3, 4, 63, 119, 133, 231, 77, 61, 12, 1], [3, 4, 64, 112, 154, 196, 112, 40, 19, 0], [3, 5, 55, 147, 77, 301, 21, 89, 4, 2], [3, 5, 56, 140, 98, 266, 56, 68, 11, 1], [3, 5, 57, 133, 119, 231, 91, 47, 18, 0], [3, 6, 48, 168, 42, 336, 0, 96, 3, 2], [3, 6, 49, 161, 63, 301, 35, 75, 10, 1], [3, 6, 50, 154, 84, 266, 70, 54, 17, 0], [3, 7, 42, 182, 28, 336, 14, 82, 9, 1], [3, 7, 43, 175, 49, 301, 49, 61, 16, 0], [3, 8, 36, 196, 14, 336, 28, 68, 15, 0], [4, 0, 63, 147, 63, 315, 21, 81, 9, 1], [4, 0, 64, 140, 84, 280, 56, 60, 16, 0], [4, 1, 56, 168, 28, 350, 0, 88, 8, 1], [4, 1, 57, 161, 49, 315, 35, 67, 15, 0], [4, 2, 50, 182, 14, 350, 14, 74, 14, 0]} (10, 704, 6) has 432 possible DDs: {[0, 3, 66, 1, 203, 231, 7, 179, 9, 2, 3], [0, 4, 60, 15, 189, 231, 21, 165, 15, 1, 3], [0, 4, 61, 8, 210, 196, 56, 144, 22, 0, 3], [0, 4, 61, 9, 203, 217, 21, 179, 1, 7, 2], [0, 4, 62, 2, 224, 182, 56, 158, 8, 6, 2], [0, 5, 53, 36, 154, 266, 0, 172, 14, 1, 3], [0, 5, 54, 29, 175, 231, 35, 151, 21, 0, 3], [0, 5, 54, 30, 168, 252, 0, 186, 0, 7, 2], [0, 5, 55, 23, 189, 217, 35, 165, 7, 6, 2], [0, 5, 56, 16, 210, 182, 70, 144, 14, 5, 2], [0, 5, 57, 9, 231, 147, 105, 123, 21, 4, 2], [0, 5, 57, 10, 224, 168, 70, 158, 0, 11, 1], [0, 5, 58, 2, 252, 112, 140, 102, 28, 3, 2], [0, 5, 58, 3, 245, 133, 105, 137, 7, 10, 1], [0, 6, 47, 50, 140, 266, 14, 158, 20, 0, 3], [0, 6, 48, 44, 154, 252, 14, 172, 6, 6, 2], [0, 6, 49, 37, 175, 217, 49, 151, 13, 5, 2], [0, 6, 50, 30, 196, 182, 84, 130, 20, 4, 2], [0, 6, 51, 23, 217, 147, 119, 109, 27, 3, 2], [0, 6, 51, 24, 210, 168, 84, 144, 6, 10, 1], [0, 6, 52, 16, 238, 112, 154, 88, 34, 2, 2], [0, 6, 52, 17, 231, 133, 119, 123, 13, 9, 1], [0, 6, 53, 9, 259, 77, 189, 67, 41, 1, 2], [0, 6, 53, 10, 252, 98, 154, 102, 20, 8, 1], [0, 6, 54, 2, 280, 42, 224, 46, 48, 0, 2], [0, 6, 54, 3, 273, 63, 189, 81, 27, 7, 1], [0, 6, 54, 4, 266, 84, 154, 116, 6, 14, 0], [0, 7, 42, 58, 140, 252, 28, 158, 12, 5, 2], [0, 7, 43, 51, 161, 217, 63, 137, 19, 4, 2], [0, 7, 44, 44, 182, 182, 98, 116, 26, 3, 2], [0, 7, 44, 45, 175, 203, 63, 151, 5, 10, 1], [0, 7, 45, 37, 203, 147, 133, 95, 33, 2, 2], [0, 7, 45, 38, 196, 168, 98, 130, 12, 9, 1], [0, 7, 46, 30, 224, 112, 168, 74, 40, 1, 2], [0, 7, 46, 31, 217, 133, 133, 109, 19, 8, 1], [0, 7, 47, 23, 245, 77, 203, 53, 47, 0, 2], [0, 7, 47, 24, 238, 98, 168, 88, 26, 7, 1], [0, 7, 47, 25, 231, 119, 133, 123, 5, 14, 0], [0, 7, 48, 17, 259, 63, 203, 67, 33, 6, 1], [0, 7, 48, 18, 252, 84, 168, 102, 12, 13, 0], [0, 7, 49, 10, 280, 28, 238, 46, 40, 5, 1], [0, 7, 49, 11, 273, 49, 203, 81, 19, 12, 0], [0, 7, 50, 4, 294, 14, 238, 60, 26, 11, 0], [0, 8, 35, 79, 105, 287, 7, 165, 11, 5, 2], [0, 8, 36, 72, 126, 252, 42, 144, 18, 4, 2], [0, 8, 37, 65, 147, 217, 77, 123, 25, 3, 2], [0, 8, 37, 66, 140, 238, 42, 158, 4, 10, 1], [0, 8, 38, 58, 168, 182, 112, 102, 32, 2, 2], [0, 8, 38, 59, 161, 203, 77, 137, 11, 9, 1], [0, 8, 39, 51, 189, 147, 147, 81, 39, 1, 2], [0, 8, 39, 52, 182, 168, 112, 116, 18, 8, 1], [0, 8, 40, 44, 210, 112, 182, 60, 46, 0, 2], [0, 8, 40, 45, 203, 133, 147, 95, 25, 7, 1], [0, 8, 40, 46, 196, 154, 112, 130, 4, 14, 0], [0, 8, 41, 38, 224, 98, 182, 74, 32, 6, 1], [0, 8, 41, 39, 217, 119, 147, 109, 11, 13, 0], [0, 8, 42, 31, 245, 63, 217, 53, 39, 5, 1], [0, 8, 42, 32, 238, 84, 182, 88, 18, 12, 0], [0, 8, 43, 24, 266, 28, 252, 32, 46, 4, 1], [0, 8, 43, 25, 259, 49, 217, 67, 25, 11, 0], [0, 8, 44, 18, 280, 14, 252, 46, 32, 10, 0], [0, 9, 29, 93, 91, 287, 21, 151, 17, 4, 2], [0, 9, 30, 86, 112, 252, 56, 130, 24, 3, 2], [0, 9, 30, 87, 105, 273, 21, 165, 3, 10, 1], [0, 9, 31, 79, 133, 217, 91, 109, 31, 2, 2], [0, 9, 31, 80, 126, 238, 56, 144, 10, 9, 1], [0, 9, 32, 72, 154, 182, 126, 88, 38, 1, 2], [0, 9, 32, 73, 147, 203, 91, 123, 17, 8, 1], [0, 9, 33, 65, 175, 147, 161, 67, 45, 0, 2], [0, 9, 33, 66, 168, 168, 126, 102, 24, 7, 1], [0, 9, 33, 67, 161, 189, 91, 137, 3, 14, 0], [0, 9, 34, 59, 189, 133, 161, 81, 31, 6, 1], [0, 9, 34, 60, 182, 154, 126, 116, 10, 13, 0], [0, 9, 35, 52, 210, 98, 196, 60, 38, 5, 1], [0, 9, 35, 53, 203, 119, 161, 95, 17, 12, 0], [0, 9, 36, 45, 231, 63, 231, 39, 45, 4, 1], [0, 9, 36, 46, 224, 84, 196, 74, 24, 11, 0], [0, 9, 37, 38, 252, 28, 266, 18, 52, 3, 1], [0, 9, 37, 39, 245, 49, 231, 53, 31, 10, 0], [0, 9, 38, 32, 266, 14, 266, 32, 38, 9, 0], [0, 10, 22, 114, 56, 322, 0, 158, 16, 4, 2], [0, 10, 23, 107, 77, 287, 35, 137, 23, 3, 2], [0, 10, 23, 108, 70, 308, 0, 172, 2, 10, 1], [0, 10, 24, 100, 98, 252, 70, 116, 30, 2, 2], [0, 10, 24, 101, 91, 273, 35, 151, 9, 9, 1], [0, 10, 25, 93, 119, 217, 105, 95, 37, 1, 2], [0, 10, 25, 94, 112, 238, 70, 130, 16, 8, 1], [0, 10, 26, 86, 140, 182, 140, 74, 44, 0, 2], [0, 10, 26, 87, 133, 203, 105, 109, 23, 7, 1], [0, 10, 26, 88, 126, 224, 70, 144, 2, 14, 0], [0, 10, 27, 80, 154, 168, 140, 88, 30, 6, 1], [0, 10, 27, 81, 147, 189, 105, 123, 9, 13, 0], [0, 10, 28, 73, 175, 133, 175, 67, 37, 5, 1], [0, 10, 28, 74, 168, 154, 140, 102, 16, 12, 0], [0, 10, 29, 66, 196, 98, 210, 46, 44, 4, 1], [0, 10, 29, 67, 189, 119, 175, 81, 23, 11, 0], [0, 10, 30, 59, 217, 63, 245, 25, 51, 3, 1], [0, 10, 30, 60, 210, 84, 210, 60, 30, 10, 0], [0, 10, 31, 52, 238, 28, 280, 4, 58, 2, 1], [0, 10, 31, 53, 231, 49, 245, 39, 37, 9, 0], [0, 10, 32, 46, 252, 14, 280, 18, 44, 8, 0], [0, 11, 16, 128, 42, 322, 14, 144, 22, 3, 2], [0, 11, 17, 121, 63, 287, 49, 123, 29, 2, 2], [0, 11, 17, 122, 56, 308, 14, 158, 8, 9, 1], [0, 11, 18, 114, 84, 252, 84, 102, 36, 1, 2], [0, 11, 18, 115, 77, 273, 49, 137, 15, 8, 1], [0, 11, 19, 107, 105, 217, 119, 81, 43, 0, 2], [0, 11, 19, 108, 98, 238, 84, 116, 22, 7, 1], [0, 11, 19, 109, 91, 259, 49, 151, 1, 14, 0], [0, 11, 20, 101, 119, 203, 119, 95, 29, 6, 1], [0, 11, 20, 102, 112, 224, 84, 130, 8, 13, 0], [0, 11, 21, 94, 140, 168, 154, 74, 36, 5, 1], [0, 11, 21, 95, 133, 189, 119, 109, 15, 12, 0], [0, 11, 22, 87, 161, 133, 189, 53, 43, 4, 1], [0, 11, 22, 88, 154, 154, 154, 88, 22, 11, 0], [0, 11, 23, 80, 182, 98, 224, 32, 50, 3, 1], [0, 11, 23, 81, 175, 119, 189, 67, 29, 10, 0], [0, 11, 24, 73, 203, 63, 259, 11, 57, 2, 1], [0, 11, 24, 74, 196, 84, 224, 46, 36, 9, 0], [0, 11, 25, 67, 217, 49, 259, 25, 43, 8, 0], [0, 11, 26, 60, 238, 14, 294, 4, 50, 7, 0], [0, 12, 10, 142, 28, 322, 28, 130, 28, 2, 2], [0, 12, 11, 135, 49, 287, 63, 109, 35, 1, 2], [0, 12, 11, 136, 42, 308, 28, 144, 14, 8, 1], [0, 12, 12, 128, 70, 252, 98, 88, 42, 0, 2], [0, 12, 12, 129, 63, 273, 63, 123, 21, 7, 1], [0, 12, 12, 130, 56, 294, 28, 158, 0, 14, 0], [0, 12, 13, 122, 84, 238, 98, 102, 28, 6, 1], [0, 12, 13, 123, 77, 259, 63, 137, 7, 13, 0], [0, 12, 14, 115, 105, 203, 133, 81, 35, 5, 1], [0, 12, 14, 116, 98, 224, 98, 116, 14, 12, 0], [0, 12, 15, 108, 126, 168, 168, 60, 42, 4, 1], [0, 12, 15, 109, 119, 189, 133, 95, 21, 11, 0], [0, 12, 16, 101, 147, 133, 203, 39, 49, 3, 1], [0, 12, 16, 102, 140, 154, 168, 74, 28, 10, 0], [0, 12, 17, 94, 168, 98, 238, 18, 56, 2, 1], [0, 12, 17, 95, 161, 119, 203, 53, 35, 9, 0], [0, 12, 18, 88, 182, 84, 238, 32, 42, 8, 0], [0, 12, 19, 81, 203, 49, 273, 11, 49, 7, 0], [0, 13, 4, 156, 14, 322, 42, 116, 34, 1, 2], [0, 13, 4, 157, 7, 343, 7, 151, 13, 8, 1], [0, 13, 5, 149, 35, 287, 77, 95, 41, 0, 2], [0, 13, 5, 150, 28, 308, 42, 130, 20, 7, 1], [0, 13, 6, 143, 49, 273, 77, 109, 27, 6, 1], [0, 13, 6, 144, 42, 294, 42, 144, 6, 13, 0], [0, 13, 7, 136, 70, 238, 112, 88, 34, 5, 1], [0, 13, 7, 137, 63, 259, 77, 123, 13, 12, 0], [0, 13, 8, 129, 91, 203, 147, 67, 41, 4, 1], [0, 13, 8, 130, 84, 224, 112, 102, 20, 11, 0], [0, 13, 9, 122, 112, 168, 182, 46, 48, 3, 1], [0, 13, 9, 123, 105, 189, 147, 81, 27, 10, 0], [0, 13, 10, 115, 133, 133, 217, 25, 55, 2, 1], [0, 13, 10, 116, 126, 154, 182, 60, 34, 9, 0], [0, 13, 11, 108, 154, 98, 252, 4, 62, 1, 1], [0, 13, 11, 109, 147, 119, 217, 39, 41, 8, 0], [0, 13, 12, 102, 168, 84, 252, 18, 48, 7, 0], [0, 14, 0, 157, 35, 273, 91, 95, 33, 5, 1], [0, 14, 0, 158, 28, 294, 56, 130, 12, 12, 0], [0, 14, 1, 150, 56, 238, 126, 74, 40, 4, 1], [0, 14, 1, 151, 49, 259, 91, 109, 19, 11, 0], [0, 14, 2, 143, 77, 203, 161, 53, 47, 3, 1], [0, 14, 2, 144, 70, 224, 126, 88, 26, 10, 0], [0, 14, 3, 136, 98, 168, 196, 32, 54, 2, 1], [0, 14, 3, 137, 91, 189, 161, 67, 33, 9, 0], [0, 14, 4, 129, 119, 133, 231, 11, 61, 1, 1], [0, 14, 4, 130, 112, 154, 196, 46, 40, 8, 0], [0, 14, 5, 123, 133, 119, 231, 25, 47, 7, 0], [0, 14, 6, 116, 154, 84, 266, 4, 54, 6, 0], [1, 0, 61, 36, 140, 280, 0, 164, 19, 0, 3], [1, 0, 62, 30, 154, 266, 0, 178, 5, 6, 2], [1, 0, 63, 23, 175, 231, 35, 157, 12, 5, 2], [1, 0, 64, 16, 196, 196, 70, 136, 19, 4, 2], [1, 0, 65, 9, 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133, 87, 38, 1, 2], [1, 2, 53, 38, 182, 182, 98, 122, 17, 8, 1], [1, 2, 54, 30, 210, 126, 168, 66, 45, 0, 2], [1, 2, 54, 31, 203, 147, 133, 101, 24, 7, 1], [1, 2, 54, 32, 196, 168, 98, 136, 3, 14, 0], [1, 2, 55, 24, 224, 112, 168, 80, 31, 6, 1], [1, 2, 55, 25, 217, 133, 133, 115, 10, 13, 0], [1, 2, 56, 17, 245, 77, 203, 59, 38, 5, 1], [1, 2, 56, 18, 238, 98, 168, 94, 17, 12, 0], [1, 2, 57, 10, 266, 42, 238, 38, 45, 4, 1], [1, 2, 57, 11, 259, 63, 203, 73, 24, 11, 0], [1, 2, 58, 3, 287, 7, 273, 17, 52, 3, 1], [1, 2, 58, 4, 280, 28, 238, 52, 31, 10, 0], [1, 3, 43, 79, 91, 301, 7, 157, 16, 4, 2], [1, 3, 44, 72, 112, 266, 42, 136, 23, 3, 2], [1, 3, 44, 73, 105, 287, 7, 171, 2, 10, 1], [1, 3, 45, 65, 133, 231, 77, 115, 30, 2, 2], [1, 3, 45, 66, 126, 252, 42, 150, 9, 9, 1], [1, 3, 46, 58, 154, 196, 112, 94, 37, 1, 2], [1, 3, 46, 59, 147, 217, 77, 129, 16, 8, 1], [1, 3, 47, 51, 175, 161, 147, 73, 44, 0, 2], [1, 3, 47, 52, 168, 182, 112, 108, 23, 7, 1], [1, 3, 47, 53, 161, 203, 77, 143, 2, 14, 0], [1, 3, 48, 45, 189, 147, 147, 87, 30, 6, 1], [1, 3, 48, 46, 182, 168, 112, 122, 9, 13, 0], [1, 3, 49, 38, 210, 112, 182, 66, 37, 5, 1], [1, 3, 49, 39, 203, 133, 147, 101, 16, 12, 0], [1, 3, 50, 31, 231, 77, 217, 45, 44, 4, 1], [1, 3, 50, 32, 224, 98, 182, 80, 23, 11, 0], [1, 3, 51, 24, 252, 42, 252, 24, 51, 3, 1], [1, 3, 51, 25, 245, 63, 217, 59, 30, 10, 0], [1, 3, 52, 17, 273, 7, 287, 3, 58, 2, 1], [1, 3, 52, 18, 266, 28, 252, 38, 37, 9, 0], [1, 4, 37, 93, 77, 301, 21, 143, 22, 3, 2], [1, 4, 38, 86, 98, 266, 56, 122, 29, 2, 2], [1, 4, 38, 87, 91, 287, 21, 157, 8, 9, 1], [1, 4, 39, 79, 119, 231, 91, 101, 36, 1, 2], [1, 4, 39, 80, 112, 252, 56, 136, 15, 8, 1], [1, 4, 40, 72, 140, 196, 126, 80, 43, 0, 2], [1, 4, 40, 73, 133, 217, 91, 115, 22, 7, 1], [1, 4, 40, 74, 126, 238, 56, 150, 1, 14, 0], [1, 4, 41, 66, 154, 182, 126, 94, 29, 6, 1], [1, 4, 41, 67, 147, 203, 91, 129, 8, 13, 0], [1, 4, 42, 59, 175, 147, 161, 73, 36, 5, 1], [1, 4, 42, 60, 168, 168, 126, 108, 15, 12, 0], [1, 4, 43, 52, 196, 112, 196, 52, 43, 4, 1], [1, 4, 43, 53, 189, 133, 161, 87, 22, 11, 0], [1, 4, 44, 45, 217, 77, 231, 31, 50, 3, 1], [1, 4, 44, 46, 210, 98, 196, 66, 29, 10, 0], [1, 4, 45, 38, 238, 42, 266, 10, 57, 2, 1], [1, 4, 45, 39, 231, 63, 231, 45, 36, 9, 0], [1, 4, 46, 32, 252, 28, 266, 24, 43, 8, 0], [1, 5, 30, 114, 42, 336, 0, 150, 21, 3, 2], [1, 5, 31, 107, 63, 301, 35, 129, 28, 2, 2], [1, 5, 31, 108, 56, 322, 0, 164, 7, 9, 1], [1, 5, 32, 100, 84, 266, 70, 108, 35, 1, 2], [1, 5, 32, 101, 77, 287, 35, 143, 14, 8, 1], [1, 5, 33, 93, 105, 231, 105, 87, 42, 0, 2], [1, 5, 33, 94, 98, 252, 70, 122, 21, 7, 1], [1, 5, 33, 95, 91, 273, 35, 157, 0, 14, 0], [1, 5, 34, 87, 119, 217, 105, 101, 28, 6, 1], [1, 5, 34, 88, 112, 238, 70, 136, 7, 13, 0], [1, 5, 35, 80, 140, 182, 140, 80, 35, 5, 1], [1, 5, 35, 81, 133, 203, 105, 115, 14, 12, 0], [1, 5, 36, 73, 161, 147, 175, 59, 42, 4, 1], [1, 5, 36, 74, 154, 168, 140, 94, 21, 11, 0], [1, 5, 37, 66, 182, 112, 210, 38, 49, 3, 1], [1, 5, 37, 67, 175, 133, 175, 73, 28, 10, 0], [1, 5, 38, 59, 203, 77, 245, 17, 56, 2, 1], [1, 5, 38, 60, 196, 98, 210, 52, 35, 9, 0], [1, 5, 39, 53, 217, 63, 245, 31, 42, 8, 0], [1, 5, 40, 46, 238, 28, 280, 10, 49, 7, 0], [1, 6, 24, 128, 28, 336, 14, 136, 27, 2, 2], [1, 6, 25, 121, 49, 301, 49, 115, 34, 1, 2], [1, 6, 25, 122, 42, 322, 14, 150, 13, 8, 1], [1, 6, 26, 114, 70, 266, 84, 94, 41, 0, 2], [1, 6, 26, 115, 63, 287, 49, 129, 20, 7, 1], [1, 6, 27, 108, 84, 252, 84, 108, 27, 6, 1], [1, 6, 27, 109, 77, 273, 49, 143, 6, 13, 0], [1, 6, 28, 101, 105, 217, 119, 87, 34, 5, 1], [1, 6, 28, 102, 98, 238, 84, 122, 13, 12, 0], [1, 6, 29, 94, 126, 182, 154, 66, 41, 4, 1], [1, 6, 29, 95, 119, 203, 119, 101, 20, 11, 0], [1, 6, 30, 87, 147, 147, 189, 45, 48, 3, 1], [1, 6, 30, 88, 140, 168, 154, 80, 27, 10, 0], [1, 6, 31, 80, 168, 112, 224, 24, 55, 2, 1], [1, 6, 31, 81, 161, 133, 189, 59, 34, 9, 0], [1, 6, 32, 73, 189, 77, 259, 3, 62, 1, 1], [1, 6, 32, 74, 182, 98, 224, 38, 41, 8, 0], [1, 6, 33, 67, 203, 63, 259, 17, 48, 7, 0], [1, 7, 18, 142, 14, 336, 28, 122, 33, 1, 2], [1, 7, 19, 135, 35, 301, 63, 101, 40, 0, 2], [1, 7, 19, 136, 28, 322, 28, 136, 19, 7, 1], [1, 7, 20, 129, 49, 287, 63, 115, 26, 6, 1], [1, 7, 20, 130, 42, 308, 28, 150, 5, 13, 0], [1, 7, 21, 122, 70, 252, 98, 94, 33, 5, 1], [1, 7, 21, 123, 63, 273, 63, 129, 12, 12, 0], [1, 7, 22, 115, 91, 217, 133, 73, 40, 4, 1], [1, 7, 22, 116, 84, 238, 98, 108, 19, 11, 0], [1, 7, 23, 108, 112, 182, 168, 52, 47, 3, 1], [1, 7, 23, 109, 105, 203, 133, 87, 26, 10, 0], [1, 7, 24, 101, 133, 147, 203, 31, 54, 2, 1], [1, 7, 24, 102, 126, 168, 168, 66, 33, 9, 0], [1, 7, 25, 94, 154, 112, 238, 10, 61, 1, 1], [1, 7, 25, 95, 147, 133, 203, 45, 40, 8, 0], [1, 7, 26, 88, 168, 98, 238, 24, 47, 7, 0], [1, 7, 27, 81, 189, 63, 273, 3, 54, 6, 0], [1, 8, 12, 156, 0, 336, 42, 108, 39, 0, 2], [1, 8, 13, 150, 14, 322, 42, 122, 25, 6, 1], [1, 8, 13, 151, 7, 343, 7, 157, 4, 13, 0], [1, 8, 14, 143, 35, 287, 77, 101, 32, 5, 1], [1, 8, 14, 144, 28, 308, 42, 136, 11, 12, 0], [1, 8, 15, 136, 56, 252, 112, 80, 39, 4, 1], [1, 8, 15, 137, 49, 273, 77, 115, 18, 11, 0], [1, 8, 16, 129, 77, 217, 147, 59, 46, 3, 1], [1, 8, 16, 130, 70, 238, 112, 94, 25, 10, 0], [1, 8, 17, 122, 98, 182, 182, 38, 53, 2, 1], [1, 8, 17, 123, 91, 203, 147, 73, 32, 9, 0], [1, 8, 18, 115, 119, 147, 217, 17, 60, 1, 1], [1, 8, 18, 116, 112, 168, 182, 52, 39, 8, 0], [1, 8, 19, 109, 133, 133, 217, 31, 46, 7, 0], [1, 8, 20, 102, 154, 98, 252, 10, 53, 6, 0], [1, 9, 7, 164, 0, 322, 56, 108, 31, 5, 1], [1, 9, 8, 157, 21, 287, 91, 87, 38, 4, 1], [1, 9, 8, 158, 14, 308, 56, 122, 17, 11, 0], [1, 9, 9, 150, 42, 252, 126, 66, 45, 3, 1], [1, 9, 9, 151, 35, 273, 91, 101, 24, 10, 0], [1, 9, 10, 143, 63, 217, 161, 45, 52, 2, 1], [1, 9, 10, 144, 56, 238, 126, 80, 31, 9, 0], [1, 9, 11, 136, 84, 182, 196, 24, 59, 1, 1], [1, 9, 11, 137, 77, 203, 161, 59, 38, 8, 0], [1, 9, 12, 129, 105, 147, 231, 3, 66, 0, 1], [1, 9, 12, 130, 98, 168, 196, 38, 45, 7, 0], [1, 9, 13, 123, 119, 133, 231, 17, 52, 6, 0], [1, 10, 2, 171, 7, 287, 105, 73, 44, 3, 1], [1, 10, 2, 172, 0, 308, 70, 108, 23, 10, 0], [1, 10, 3, 164, 28, 252, 140, 52, 51, 2, 1], [1, 10, 3, 165, 21, 273, 105, 87, 30, 9, 0], [1, 10, 4, 157, 49, 217, 175, 31, 58, 1, 1], [1, 10, 4, 158, 42, 238, 140, 66, 37, 8, 0], [1, 10, 5, 150, 70, 182, 210, 10, 65, 0, 1], [1, 10, 5, 151, 63, 203, 175, 45, 44, 7, 0], [1, 10, 6, 144, 84, 168, 210, 24, 51, 6, 0], [1, 10, 7, 137, 105, 133, 245, 3, 58, 5, 0], [1, 11, 0, 158, 70, 168, 224, 10, 57, 5, 0], [2, 0, 38, 114, 28, 350, 0, 142, 26, 2, 2], [2, 0, 39, 107, 49, 315, 35, 121, 33, 1, 2], [2, 0, 39, 108, 42, 336, 0, 156, 12, 8, 1], [2, 0, 40, 100, 70, 280, 70, 100, 40, 0, 2], [2, 0, 40, 101, 63, 301, 35, 135, 19, 7, 1], [2, 0, 41, 94, 84, 266, 70, 114, 26, 6, 1], [2, 0, 41, 95, 77, 287, 35, 149, 5, 13, 0], [2, 0, 42, 87, 105, 231, 105, 93, 33, 5, 1], [2, 0, 42, 88, 98, 252, 70, 128, 12, 12, 0], [2, 0, 43, 80, 126, 196, 140, 72, 40, 4, 1], [2, 0, 43, 81, 119, 217, 105, 107, 19, 11, 0], [2, 0, 44, 73, 147, 161, 175, 51, 47, 3, 1], [2, 0, 44, 74, 140, 182, 140, 86, 26, 10, 0], [2, 0, 45, 66, 168, 126, 210, 30, 54, 2, 1], [2, 0, 45, 67, 161, 147, 175, 65, 33, 9, 0], [2, 0, 46, 59, 189, 91, 245, 9, 61, 1, 1], [2, 0, 46, 60, 182, 112, 210, 44, 40, 8, 0], [2, 0, 47, 53, 203, 77, 245, 23, 47, 7, 0], [2, 0, 48, 46, 224, 42, 280, 2, 54, 6, 0], [2, 1, 32, 128, 14, 350, 14, 128, 32, 1, 2], [2, 1, 33, 121, 35, 315, 49, 107, 39, 0, 2], [2, 1, 33, 122, 28, 336, 14, 142, 18, 7, 1], [2, 1, 34, 115, 49, 301, 49, 121, 25, 6, 1], [2, 1, 34, 116, 42, 322, 14, 156, 4, 13, 0], [2, 1, 35, 108, 70, 266, 84, 100, 32, 5, 1], [2, 1, 35, 109, 63, 287, 49, 135, 11, 12, 0], [2, 1, 36, 101, 91, 231, 119, 79, 39, 4, 1], [2, 1, 36, 102, 84, 252, 84, 114, 18, 11, 0], [2, 1, 37, 94, 112, 196, 154, 58, 46, 3, 1], [2, 1, 37, 95, 105, 217, 119, 93, 25, 10, 0], [2, 1, 38, 87, 133, 161, 189, 37, 53, 2, 1], [2, 1, 38, 88, 126, 182, 154, 72, 32, 9, 0], [2, 1, 39, 80, 154, 126, 224, 16, 60, 1, 1], [2, 1, 39, 81, 147, 147, 189, 51, 39, 8, 0], [2, 1, 40, 74, 168, 112, 224, 30, 46, 7, 0], [2, 1, 41, 67, 189, 77, 259, 9, 53, 6, 0], [2, 2, 26, 142, 0, 350, 28, 114, 38, 0, 2], [2, 2, 27, 136, 14, 336, 28, 128, 24, 6, 1], [2, 2, 28, 129, 35, 301, 63, 107, 31, 5, 1], [2, 2, 28, 130, 28, 322, 28, 142, 10, 12, 0], [2, 2, 29, 122, 56, 266, 98, 86, 38, 4, 1], [2, 2, 29, 123, 49, 287, 63, 121, 17, 11, 0], [2, 2, 30, 115, 77, 231, 133, 65, 45, 3, 1], [2, 2, 30, 116, 70, 252, 98, 100, 24, 10, 0], [2, 2, 31, 108, 98, 196, 168, 44, 52, 2, 1], [2, 2, 31, 109, 91, 217, 133, 79, 31, 9, 0], [2, 2, 32, 101, 119, 161, 203, 23, 59, 1, 1], [2, 2, 32, 102, 112, 182, 168, 58, 38, 8, 0], [2, 2, 33, 94, 140, 126, 238, 2, 66, 0, 1], [2, 2, 33, 95, 133, 147, 203, 37, 45, 7, 0], [2, 2, 34, 88, 154, 112, 238, 16, 52, 6, 0], [2, 3, 21, 150, 0, 336, 42, 114, 30, 5, 1], [2, 3, 22, 143, 21, 301, 77, 93, 37, 4, 1], [2, 3, 22, 144, 14, 322, 42, 128, 16, 11, 0], [2, 3, 23, 136, 42, 266, 112, 72, 44, 3, 1], [2, 3, 23, 137, 35, 287, 77, 107, 23, 10, 0], [2, 3, 24, 129, 63, 231, 147, 51, 51, 2, 1], [2, 3, 24, 130, 56, 252, 112, 86, 30, 9, 0], [2, 3, 25, 122, 84, 196, 182, 30, 58, 1, 1], [2, 3, 25, 123, 77, 217, 147, 65, 37, 8, 0], [2, 3, 26, 115, 105, 161, 217, 9, 65, 0, 1], [2, 3, 26, 116, 98, 182, 182, 44, 44, 7, 0], [2, 3, 27, 109, 119, 147, 217, 23, 51, 6, 0], [2, 3, 28, 102, 140, 112, 252, 2, 58, 5, 0], [2, 4, 16, 157, 7, 301, 91, 79, 43, 3, 1], [2, 4, 16, 158, 0, 322, 56, 114, 22, 10, 0], [2, 4, 17, 150, 28, 266, 126, 58, 50, 2, 1], [2, 4, 17, 151, 21, 287, 91, 93, 29, 9, 0], [2, 4, 18, 143, 49, 231, 161, 37, 57, 1, 1], [2, 4, 18, 144, 42, 252, 126, 72, 36, 8, 0], [2, 4, 19, 136, 70, 196, 196, 16, 64, 0, 1], [2, 4, 19, 137, 63, 217, 161, 51, 43, 7, 0], [2, 4, 20, 130, 84, 182, 196, 30, 50, 6, 0], [2, 4, 21, 123, 105, 147, 231, 9, 57, 5, 0], [2, 5, 11, 164, 14, 266, 140, 44, 56, 1, 1], [2, 5, 11, 165, 7, 287, 105, 79, 35, 8, 0], [2, 5, 12, 157, 35, 231, 175, 23, 63, 0, 1], [2, 5, 12, 158, 28, 252, 140, 58, 42, 7, 0], [2, 5, 13, 151, 49, 217, 175, 37, 49, 6, 0], [2, 5, 14, 144, 70, 182, 210, 16, 56, 5, 0], [2, 6, 5, 178, 0, 266, 154, 30, 62, 0, 1], [2, 6, 6, 172, 14, 252, 154, 44, 48, 6, 0], [2, 6, 7, 165, 35, 217, 189, 23, 55, 5, 0], [2, 6, 8, 158, 56, 182, 224, 2, 62, 4, 0], [2, 7, 0, 186, 0, 252, 168, 30, 54, 5, 0], [2, 7, 1, 179, 21, 217, 203, 9, 61, 4, 0], [3, 0, 19, 164, 0, 280, 140, 36, 61, 0, 1], [3, 0, 20, 158, 14, 266, 140, 50, 47, 6, 0], [3, 0, 21, 151, 35, 231, 175, 29, 54, 5, 0], [3, 0, 22, 144, 56, 196, 210, 8, 61, 4, 0], [3, 1, 14, 172, 0, 266, 154, 36, 53, 5, 0], [3, 1, 15, 165, 21, 231, 189, 15, 60, 4, 0], [3, 2, 9, 179, 7, 231, 203, 1, 66, 3, 0]} (11, 704, 6) has 1251 possible DDs: {[0, 0, 38, 48, 28, 350, 0, 142, 92, 2, 2, 2], [0, 0, 39, 41, 49, 315, 35, 121, 99, 1, 2, 2], [0, 0, 39, 42, 42, 336, 0, 156, 78, 8, 1, 2], [0, 0, 40, 34, 70, 280, 70, 100, 106, 0, 2, 2], [0, 0, 40, 35, 63, 301, 35, 135, 85, 7, 1, 2], [0, 0, 40, 36, 56, 322, 0, 170, 64, 14, 0, 2], [0, 0, 41, 28, 84, 266, 70, 114, 92, 6, 1, 2], [0, 0, 41, 29, 77, 287, 35, 149, 71, 13, 0, 2], [0, 0, 42, 21, 105, 231, 105, 93, 99, 5, 1, 2], [0, 0, 42, 22, 98, 252, 70, 128, 78, 12, 0, 2], [0, 0, 42, 24, 85, 287, 21, 163, 71, 5, 5, 1], [0, 0, 43, 14, 126, 196, 140, 72, 106, 4, 1, 2], [0, 0, 43, 15, 119, 217, 105, 107, 85, 11, 0, 2], [0, 0, 43, 17, 106, 252, 56, 142, 78, 4, 5, 1], [0, 0, 43, 18, 99, 273, 21, 177, 57, 11, 4, 1], [0, 0, 44, 7, 147, 161, 175, 51, 113, 3, 1, 2], [0, 0, 44, 8, 140, 182, 140, 86, 92, 10, 0, 2], [0, 0, 44, 10, 127, 217, 91, 121, 85, 3, 5, 1], [0, 0, 44, 11, 120, 238, 56, 156, 64, 10, 4, 1], [0, 0, 44, 12, 113, 259, 21, 191, 43, 17, 3, 1], [0, 0, 44, 13, 107, 273, 7, 191, 57, 3, 9, 0], [0, 0, 45, 0, 168, 126, 210, 30, 120, 2, 1, 2], [0, 0, 45, 1, 161, 147, 175, 65, 99, 9, 0, 2], [0, 0, 45, 3, 148, 182, 126, 100, 92, 2, 5, 1], [0, 0, 45, 4, 141, 203, 91, 135, 71, 9, 4, 1], [0, 0, 45, 5, 134, 224, 56, 170, 50, 16, 3, 1], [0, 0, 45, 6, 127, 245, 21, 205, 29, 23, 2, 1], [0, 0, 45, 6, 128, 238, 42, 170, 64, 2, 9, 0], [0, 0, 45, 7, 121, 259, 7, 205, 43, 9, 8, 0], [0, 0, 46, 0, 141, 231, 21, 219, 15, 29, 1, 1], [0, 0, 46, 0, 142, 224, 42, 184, 50, 8, 8, 0], [0, 0, 46, 1, 135, 245, 7, 219, 29, 15, 7, 0], [0, 1, 32, 62, 14, 350, 14, 128, 98, 1, 2, 2], [0, 1, 33, 55, 35, 315, 49, 107, 105, 0, 2, 2], [0, 1, 33, 56, 28, 336, 14, 142, 84, 7, 1, 2], [0, 1, 34, 49, 49, 301, 49, 121, 91, 6, 1, 2], [0, 1, 34, 50, 42, 322, 14, 156, 70, 13, 0, 2], [0, 1, 35, 42, 70, 266, 84, 100, 98, 5, 1, 2], [0, 1, 35, 43, 63, 287, 49, 135, 77, 12, 0, 2], [0, 1, 35, 45, 50, 322, 0, 170, 70, 5, 5, 1], [0, 1, 36, 35, 91, 231, 119, 79, 105, 4, 1, 2], [0, 1, 36, 36, 84, 252, 84, 114, 84, 11, 0, 2], [0, 1, 36, 38, 71, 287, 35, 149, 77, 4, 5, 1], [0, 1, 36, 39, 64, 308, 0, 184, 56, 11, 4, 1], [0, 1, 37, 28, 112, 196, 154, 58, 112, 3, 1, 2], [0, 1, 37, 29, 105, 217, 119, 93, 91, 10, 0, 2], [0, 1, 37, 31, 92, 252, 70, 128, 84, 3, 5, 1], [0, 1, 37, 32, 85, 273, 35, 163, 63, 10, 4, 1], [0, 1, 37, 33, 78, 294, 0, 198, 42, 17, 3, 1], [0, 1, 38, 21, 133, 161, 189, 37, 119, 2, 1, 2], [0, 1, 38, 22, 126, 182, 154, 72, 98, 9, 0, 2], [0, 1, 38, 24, 113, 217, 105, 107, 91, 2, 5, 1], [0, 1, 38, 25, 106, 238, 70, 142, 70, 9, 4, 1], [0, 1, 38, 26, 99, 259, 35, 177, 49, 16, 3, 1], [0, 1, 38, 27, 92, 280, 0, 212, 28, 23, 2, 1], [0, 1, 38, 27, 93, 273, 21, 177, 63, 2, 9, 0], [0, 1, 39, 14, 154, 126, 224, 16, 126, 1, 1, 2], [0, 1, 39, 15, 147, 147, 189, 51, 105, 8, 0, 2], [0, 1, 39, 17, 134, 182, 140, 86, 98, 1, 5, 1], [0, 1, 39, 18, 127, 203, 105, 121, 77, 8, 4, 1], [0, 1, 39, 19, 120, 224, 70, 156, 56, 15, 3, 1], [0, 1, 39, 20, 113, 245, 35, 191, 35, 22, 2, 1], [0, 1, 39, 20, 114, 238, 56, 156, 70, 1, 9, 0], [0, 1, 39, 21, 106, 266, 0, 226, 14, 29, 1, 1], [0, 1, 39, 21, 107, 259, 21, 191, 49, 8, 8, 0], [0, 1, 40, 8, 168, 112, 224, 30, 112, 7, 0, 2], [0, 1, 40, 10, 155, 147, 175, 65, 105, 0, 5, 1], [0, 1, 40, 11, 148, 168, 140, 100, 84, 7, 4, 1], [0, 1, 40, 12, 141, 189, 105, 135, 63, 14, 3, 1], [0, 1, 40, 13, 134, 210, 70, 170, 42, 21, 2, 1], [0, 1, 40, 13, 135, 203, 91, 135, 77, 0, 9, 0], [0, 1, 40, 14, 127, 231, 35, 205, 21, 28, 1, 1], [0, 1, 40, 14, 128, 224, 56, 170, 56, 7, 8, 0], [0, 1, 40, 15, 120, 252, 0, 240, 0, 35, 0, 1], [0, 1, 40, 15, 121, 245, 21, 205, 35, 14, 7, 0], [0, 1, 41, 1, 189, 77, 259, 9, 119, 6, 0, 2], [0, 1, 41, 4, 169, 133, 175, 79, 91, 6, 4, 1], [0, 1, 41, 5, 162, 154, 140, 114, 70, 13, 3, 1], [0, 1, 41, 6, 155, 175, 105, 149, 49, 20, 2, 1], [0, 1, 41, 7, 148, 196, 70, 184, 28, 27, 1, 1], [0, 1, 41, 7, 149, 189, 91, 149, 63, 6, 8, 0], [0, 1, 41, 8, 141, 217, 35, 219, 7, 34, 0, 1], [0, 1, 41, 8, 142, 210, 56, 184, 42, 13, 7, 0], [0, 1, 41, 9, 135, 231, 21, 219, 21, 20, 6, 0], [0, 1, 42, 0, 169, 161, 105, 163, 35, 26, 1, 1], [0, 1, 42, 0, 170, 154, 126, 128, 70, 5, 8, 0], [0, 1, 42, 1, 162, 182, 70, 198, 14, 33, 0, 1], [0, 1, 42, 1, 163, 175, 91, 163, 49, 12, 7, 0], [0, 1, 42, 2, 156, 196, 56, 198, 28, 19, 6, 0], [0, 1, 42, 3, 149, 217, 21, 233, 7, 26, 5, 0], [0, 2, 26, 76, 0, 350, 28, 114, 104, 0, 2, 2], [0, 2, 27, 70, 14, 336, 28, 128, 90, 6, 1, 2], [0, 2, 28, 63, 35, 301, 63, 107, 97, 5, 1, 2], [0, 2, 28, 64, 28, 322, 28, 142, 76, 12, 0, 2], [0, 2, 29, 56, 56, 266, 98, 86, 104, 4, 1, 2], [0, 2, 29, 57, 49, 287, 63, 121, 83, 11, 0, 2], [0, 2, 29, 59, 36, 322, 14, 156, 76, 4, 5, 1], [0, 2, 30, 49, 77, 231, 133, 65, 111, 3, 1, 2], [0, 2, 30, 50, 70, 252, 98, 100, 90, 10, 0, 2], [0, 2, 30, 52, 57, 287, 49, 135, 83, 3, 5, 1], [0, 2, 30, 53, 50, 308, 14, 170, 62, 10, 4, 1], [0, 2, 31, 42, 98, 196, 168, 44, 118, 2, 1, 2], [0, 2, 31, 43, 91, 217, 133, 79, 97, 9, 0, 2], [0, 2, 31, 45, 78, 252, 84, 114, 90, 2, 5, 1], [0, 2, 31, 46, 71, 273, 49, 149, 69, 9, 4, 1], [0, 2, 31, 47, 64, 294, 14, 184, 48, 16, 3, 1], [0, 2, 31, 48, 58, 308, 0, 184, 62, 2, 9, 0], [0, 2, 32, 35, 119, 161, 203, 23, 125, 1, 1, 2], [0, 2, 32, 36, 112, 182, 168, 58, 104, 8, 0, 2], [0, 2, 32, 38, 99, 217, 119, 93, 97, 1, 5, 1], [0, 2, 32, 39, 92, 238, 84, 128, 76, 8, 4, 1], [0, 2, 32, 40, 85, 259, 49, 163, 55, 15, 3, 1], [0, 2, 32, 41, 78, 280, 14, 198, 34, 22, 2, 1], [0, 2, 32, 41, 79, 273, 35, 163, 69, 1, 9, 0], [0, 2, 32, 42, 72, 294, 0, 198, 48, 8, 8, 0], [0, 2, 33, 28, 140, 126, 238, 2, 132, 0, 1, 2], [0, 2, 33, 29, 133, 147, 203, 37, 111, 7, 0, 2], [0, 2, 33, 31, 120, 182, 154, 72, 104, 0, 5, 1], [0, 2, 33, 32, 113, 203, 119, 107, 83, 7, 4, 1], [0, 2, 33, 33, 106, 224, 84, 142, 62, 14, 3, 1], [0, 2, 33, 34, 99, 245, 49, 177, 41, 21, 2, 1], [0, 2, 33, 34, 100, 238, 70, 142, 76, 0, 9, 0], [0, 2, 33, 35, 92, 266, 14, 212, 20, 28, 1, 1], [0, 2, 33, 35, 93, 259, 35, 177, 55, 7, 8, 0], [0, 2, 33, 36, 86, 280, 0, 212, 34, 14, 7, 0], [0, 2, 34, 22, 154, 112, 238, 16, 118, 6, 0, 2], [0, 2, 34, 25, 134, 168, 154, 86, 90, 6, 4, 1], [0, 2, 34, 26, 127, 189, 119, 121, 69, 13, 3, 1], [0, 2, 34, 27, 120, 210, 84, 156, 48, 20, 2, 1], [0, 2, 34, 28, 113, 231, 49, 191, 27, 27, 1, 1], [0, 2, 34, 28, 114, 224, 70, 156, 62, 6, 8, 0], [0, 2, 34, 29, 106, 252, 14, 226, 6, 34, 0, 1], [0, 2, 34, 29, 107, 245, 35, 191, 41, 13, 7, 0], [0, 2, 34, 30, 100, 266, 0, 226, 20, 20, 6, 0], [0, 2, 35, 18, 155, 133, 189, 65, 97, 5, 4, 1], [0, 2, 35, 19, 148, 154, 154, 100, 76, 12, 3, 1], [0, 2, 35, 20, 141, 175, 119, 135, 55, 19, 2, 1], [0, 2, 35, 21, 134, 196, 84, 170, 34, 26, 1, 1], [0, 2, 35, 21, 135, 189, 105, 135, 69, 5, 8, 0], [0, 2, 35, 22, 127, 217, 49, 205, 13, 33, 0, 1], [0, 2, 35, 22, 128, 210, 70, 170, 48, 12, 7, 0], [0, 2, 35, 23, 121, 231, 35, 205, 27, 19, 6, 0], [0, 2, 35, 24, 114, 252, 0, 240, 6, 26, 5, 0], [0, 2, 36, 11, 176, 98, 224, 44, 104, 4, 4, 1], [0, 2, 36, 12, 169, 119, 189, 79, 83, 11, 3, 1], [0, 2, 36, 13, 162, 140, 154, 114, 62, 18, 2, 1], [0, 2, 36, 14, 155, 161, 119, 149, 41, 25, 1, 1], [0, 2, 36, 14, 156, 154, 140, 114, 76, 4, 8, 0], [0, 2, 36, 15, 148, 182, 84, 184, 20, 32, 0, 1], [0, 2, 36, 15, 149, 175, 105, 149, 55, 11, 7, 0], [0, 2, 36, 16, 142, 196, 70, 184, 34, 18, 6, 0], [0, 2, 36, 17, 135, 217, 35, 219, 13, 25, 5, 0], [0, 2, 37, 4, 197, 63, 259, 23, 111, 3, 4, 1], [0, 2, 37, 5, 190, 84, 224, 58, 90, 10, 3, 1], [0, 2, 37, 6, 183, 105, 189, 93, 69, 17, 2, 1], [0, 2, 37, 7, 176, 126, 154, 128, 48, 24, 1, 1], [0, 2, 37, 7, 177, 119, 175, 93, 83, 3, 8, 0], [0, 2, 37, 8, 169, 147, 119, 163, 27, 31, 0, 1], [0, 2, 37, 8, 170, 140, 140, 128, 62, 10, 7, 0], [0, 2, 37, 9, 163, 161, 105, 163, 41, 17, 6, 0], [0, 2, 37, 10, 156, 182, 70, 198, 20, 24, 5, 0], [0, 2, 38, 0, 197, 91, 189, 107, 55, 23, 1, 1], [0, 2, 38, 0, 198, 84, 210, 72, 90, 2, 8, 0], [0, 2, 38, 1, 190, 112, 154, 142, 34, 30, 0, 1], [0, 2, 38, 1, 191, 105, 175, 107, 69, 9, 7, 0], [0, 2, 38, 2, 184, 126, 140, 142, 48, 16, 6, 0], [0, 2, 38, 3, 177, 147, 105, 177, 27, 23, 5, 0], [0, 2, 38, 4, 170, 168, 70, 212, 6, 30, 4, 0], [0, 3, 21, 84, 0, 336, 42, 114, 96, 5, 1, 2], [0, 3, 22, 77, 21, 301, 77, 93, 103, 4, 1, 2], [0, 3, 22, 78, 14, 322, 42, 128, 82, 11, 0, 2], [0, 3, 23, 70, 42, 266, 112, 72, 110, 3, 1, 2], [0, 3, 23, 71, 35, 287, 77, 107, 89, 10, 0, 2], [0, 3, 23, 73, 22, 322, 28, 142, 82, 3, 5, 1], [0, 3, 24, 63, 63, 231, 147, 51, 117, 2, 1, 2], [0, 3, 24, 64, 56, 252, 112, 86, 96, 9, 0, 2], [0, 3, 24, 66, 43, 287, 63, 121, 89, 2, 5, 1], [0, 3, 24, 67, 36, 308, 28, 156, 68, 9, 4, 1], [0, 3, 25, 56, 84, 196, 182, 30, 124, 1, 1, 2], [0, 3, 25, 57, 77, 217, 147, 65, 103, 8, 0, 2], [0, 3, 25, 59, 64, 252, 98, 100, 96, 1, 5, 1], [0, 3, 25, 60, 57, 273, 63, 135, 75, 8, 4, 1], [0, 3, 25, 61, 50, 294, 28, 170, 54, 15, 3, 1], [0, 3, 25, 62, 44, 308, 14, 170, 68, 1, 9, 0], [0, 3, 26, 49, 105, 161, 217, 9, 131, 0, 1, 2], [0, 3, 26, 50, 98, 182, 182, 44, 110, 7, 0, 2], [0, 3, 26, 52, 85, 217, 133, 79, 103, 0, 5, 1], [0, 3, 26, 53, 78, 238, 98, 114, 82, 7, 4, 1], [0, 3, 26, 54, 71, 259, 63, 149, 61, 14, 3, 1], [0, 3, 26, 55, 64, 280, 28, 184, 40, 21, 2, 1], [0, 3, 26, 55, 65, 273, 49, 149, 75, 0, 9, 0], [0, 3, 26, 56, 58, 294, 14, 184, 54, 7, 8, 0], [0, 3, 27, 43, 119, 147, 217, 23, 117, 6, 0, 2], [0, 3, 27, 46, 99, 203, 133, 93, 89, 6, 4, 1], [0, 3, 27, 47, 92, 224, 98, 128, 68, 13, 3, 1], [0, 3, 27, 48, 85, 245, 63, 163, 47, 20, 2, 1], [0, 3, 27, 49, 78, 266, 28, 198, 26, 27, 1, 1], [0, 3, 27, 49, 79, 259, 49, 163, 61, 6, 8, 0], [0, 3, 27, 50, 72, 280, 14, 198, 40, 13, 7, 0], [0, 3, 28, 36, 140, 112, 252, 2, 124, 5, 0, 2], [0, 3, 28, 39, 120, 168, 168, 72, 96, 5, 4, 1], [0, 3, 28, 40, 113, 189, 133, 107, 75, 12, 3, 1], [0, 3, 28, 41, 106, 210, 98, 142, 54, 19, 2, 1], [0, 3, 28, 42, 99, 231, 63, 177, 33, 26, 1, 1], [0, 3, 28, 42, 100, 224, 84, 142, 68, 5, 8, 0], [0, 3, 28, 43, 92, 252, 28, 212, 12, 33, 0, 1], [0, 3, 28, 43, 93, 245, 49, 177, 47, 12, 7, 0], [0, 3, 28, 44, 86, 266, 14, 212, 26, 19, 6, 0], [0, 3, 29, 32, 141, 133, 203, 51, 103, 4, 4, 1], [0, 3, 29, 33, 134, 154, 168, 86, 82, 11, 3, 1], [0, 3, 29, 34, 127, 175, 133, 121, 61, 18, 2, 1], [0, 3, 29, 35, 120, 196, 98, 156, 40, 25, 1, 1], [0, 3, 29, 35, 121, 189, 119, 121, 75, 4, 8, 0], [0, 3, 29, 36, 113, 217, 63, 191, 19, 32, 0, 1], [0, 3, 29, 36, 114, 210, 84, 156, 54, 11, 7, 0], [0, 3, 29, 37, 107, 231, 49, 191, 33, 18, 6, 0], [0, 3, 29, 38, 100, 252, 14, 226, 12, 25, 5, 0], [0, 3, 30, 25, 162, 98, 238, 30, 110, 3, 4, 1], [0, 3, 30, 26, 155, 119, 203, 65, 89, 10, 3, 1], [0, 3, 30, 27, 148, 140, 168, 100, 68, 17, 2, 1], [0, 3, 30, 28, 141, 161, 133, 135, 47, 24, 1, 1], [0, 3, 30, 28, 142, 154, 154, 100, 82, 3, 8, 0], [0, 3, 30, 29, 134, 182, 98, 170, 26, 31, 0, 1], [0, 3, 30, 29, 135, 175, 119, 135, 61, 10, 7, 0], [0, 3, 30, 30, 128, 196, 84, 170, 40, 17, 6, 0], [0, 3, 30, 31, 121, 217, 49, 205, 19, 24, 5, 0], [0, 3, 31, 18, 183, 63, 273, 9, 117, 2, 4, 1], [0, 3, 31, 19, 176, 84, 238, 44, 96, 9, 3, 1], [0, 3, 31, 20, 169, 105, 203, 79, 75, 16, 2, 1], [0, 3, 31, 21, 162, 126, 168, 114, 54, 23, 1, 1], [0, 3, 31, 21, 163, 119, 189, 79, 89, 2, 8, 0], [0, 3, 31, 22, 155, 147, 133, 149, 33, 30, 0, 1], [0, 3, 31, 22, 156, 140, 154, 114, 68, 9, 7, 0], [0, 3, 31, 23, 149, 161, 119, 149, 47, 16, 6, 0], [0, 3, 31, 24, 142, 182, 84, 184, 26, 23, 5, 0], [0, 3, 31, 25, 135, 203, 49, 219, 5, 30, 4, 0], [0, 3, 32, 12, 197, 49, 273, 23, 103, 8, 3, 1], [0, 3, 32, 13, 190, 70, 238, 58, 82, 15, 2, 1], [0, 3, 32, 14, 183, 91, 203, 93, 61, 22, 1, 1], [0, 3, 32, 14, 184, 84, 224, 58, 96, 1, 8, 0], [0, 3, 32, 15, 176, 112, 168, 128, 40, 29, 0, 1], [0, 3, 32, 15, 177, 105, 189, 93, 75, 8, 7, 0], [0, 3, 32, 16, 170, 126, 154, 128, 54, 15, 6, 0], [0, 3, 32, 17, 163, 147, 119, 163, 33, 22, 5, 0], [0, 3, 32, 18, 156, 168, 84, 198, 12, 29, 4, 0], [0, 3, 33, 5, 218, 14, 308, 2, 110, 7, 3, 1], [0, 3, 33, 6, 211, 35, 273, 37, 89, 14, 2, 1], [0, 3, 33, 7, 204, 56, 238, 72, 68, 21, 1, 1], [0, 3, 33, 7, 205, 49, 259, 37, 103, 0, 8, 0], [0, 3, 33, 8, 197, 77, 203, 107, 47, 28, 0, 1], [0, 3, 33, 8, 198, 70, 224, 72, 82, 7, 7, 0], [0, 3, 33, 9, 191, 91, 189, 107, 61, 14, 6, 0], [0, 3, 33, 10, 184, 112, 154, 142, 40, 21, 5, 0], [0, 3, 33, 11, 177, 133, 119, 177, 19, 28, 4, 0], [0, 3, 34, 0, 225, 21, 273, 51, 75, 20, 1, 1], [0, 3, 34, 1, 218, 42, 238, 86, 54, 27, 0, 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