-------
(11, 896, 6) ALL distance distributions for EXTERNAL point
(6, 896, 6) has 0 possible DDs: {}
(7, 896, 6) has 1 possible DDs: {[0, 98, 0, 490, 0, 294, 0, 14]}
(8, 896, 6) has 9 possible DDs: {[0, 48, 56, 224, 280, 112, 168, 0, 8], [0, 49, 49, 245, 245, 147, 147, 7, 7], [0, 50, 42, 266, 210, 182, 126, 14, 6], [0, 51, 35, 287, 175, 217, 105, 21, 5], [0, 52, 28, 308, 140, 252, 84, 28, 4], [0, 53, 21, 329, 105, 287, 63, 35, 3], [0, 54, 14, 350, 70, 322, 42, 42, 2], [0, 55, 7, 371, 35, 357, 21, 49, 1], [0, 56, 0, 392, 0, 392, 0, 56, 0]}
(9, 896, 6) has 56 possible DDs: {[0, 18, 93, 21, 441, 21, 231, 63, 3, 5], [0, 19, 86, 42, 406, 56, 210, 70, 2, 5], [0, 19, 87, 35, 427, 21, 245, 49, 9, 4], [0, 20, 79, 63, 371, 91, 189, 77, 1, 5], [0, 20, 80, 56, 392, 56, 224, 56, 8, 4], [0, 20, 81, 49, 413, 21, 259, 35, 15, 3], [0, 21, 72, 84, 336, 126, 168, 84, 0, 5], [0, 21, 73, 77, 357, 91, 203, 63, 7, 4], [0, 21, 74, 70, 378, 56, 238, 42, 14, 3], [0, 21, 75, 63, 399, 21, 273, 21, 21, 2], [0, 22, 66, 98, 322, 126, 182, 70, 6, 4], [0, 22, 67, 91, 343, 91, 217, 49, 13, 3], [0, 22, 68, 84, 364, 56, 252, 28, 20, 2], [0, 22, 69, 77, 385, 21, 287, 7, 27, 1], [0, 23, 59, 119, 287, 161, 161, 77, 5, 4], [0, 23, 60, 112, 308, 126, 196, 56, 12, 3], [0, 23, 61, 105, 329, 91, 231, 35, 19, 2], [0, 23, 62, 98, 350, 56, 266, 14, 26, 1], [0, 24, 52, 140, 252, 196, 140, 84, 4, 4], [0, 24, 53, 133, 273, 161, 175, 63, 11, 3], [0, 24, 54, 126, 294, 126, 210, 42, 18, 2], [0, 24, 55, 119, 315, 91, 245, 21, 25, 1], [0, 24, 56, 112, 336, 56, 280, 0, 32, 0], [0, 25, 45, 161, 217, 231, 119, 91, 3, 4], [0, 25, 46, 154, 238, 196, 154, 70, 10, 3], [0, 25, 47, 147, 259, 161, 189, 49, 17, 2], [0, 25, 48, 140, 280, 126, 224, 28, 24, 1], [0, 25, 49, 133, 301, 91, 259, 7, 31, 0], [0, 26, 38, 182, 182, 266, 98, 98, 2, 4], [0, 26, 39, 175, 203, 231, 133, 77, 9, 3], [0, 26, 40, 168, 224, 196, 168, 56, 16, 2], [0, 26, 41, 161, 245, 161, 203, 35, 23, 1], [0, 26, 42, 154, 266, 126, 238, 14, 30, 0], [0, 27, 31, 203, 147, 301, 77, 105, 1, 4], [0, 27, 32, 196, 168, 266, 112, 84, 8, 3], [0, 27, 33, 189, 189, 231, 147, 63, 15, 2], [0, 27, 34, 182, 210, 196, 182, 42, 22, 1], [0, 27, 35, 175, 231, 161, 217, 21, 29, 0], [0, 28, 24, 224, 112, 336, 56, 112, 0, 4], [0, 28, 25, 217, 133, 301, 91, 91, 7, 3], [0, 28, 26, 210, 154, 266, 126, 70, 14, 2], [0, 28, 27, 203, 175, 231, 161, 49, 21, 1], [0, 28, 28, 196, 196, 196, 196, 28, 28, 0], [0, 29, 18, 238, 98, 336, 70, 98, 6, 3], [0, 29, 19, 231, 119, 301, 105, 77, 13, 2], [0, 29, 20, 224, 140, 266, 140, 56, 20, 1], [0, 29, 21, 217, 161, 231, 175, 35, 27, 0], [0, 30, 11, 259, 63, 371, 49, 105, 5, 3], [0, 30, 12, 252, 84, 336, 84, 84, 12, 2], [0, 30, 13, 245, 105, 301, 119, 63, 19, 1], [0, 30, 14, 238, 126, 266, 154, 42, 26, 0], [0, 31, 4, 280, 28, 406, 28, 112, 4, 3], [0, 31, 5, 273, 49, 371, 63, 91, 11, 2], [0, 31, 6, 266, 70, 336, 98, 70, 18, 1], [0, 31, 7, 259, 91, 301, 133, 49, 25, 0], [0, 32, 0, 280, 56, 336, 112, 56, 24, 0]}
(10, 896, 6) has 334 possible DDs: {[0, 4, 83, 3, 259, 287, 21, 217, 17, 1, 4], [0, 5, 76, 24, 224, 322, 0, 224, 16, 1, 4], [0, 5, 77, 17, 245, 287, 35, 203, 23, 0, 4], [0, 5, 77, 18, 238, 308, 0, 238, 2, 7, 3], [0, 5, 78, 11, 259, 273, 35, 217, 9, 6, 3], [0, 5, 79, 4, 280, 238, 70, 196, 16, 5, 3], [0, 6, 70, 38, 210, 322, 14, 210, 22, 0, 4], [0, 6, 71, 32, 224, 308, 14, 224, 8, 6, 3], [0, 6, 72, 25, 245, 273, 49, 203, 15, 5, 3], [0, 6, 73, 18, 266, 238, 84, 182, 22, 4, 3], [0, 6, 73, 19, 259, 259, 49, 217, 1, 11, 2], [0, 6, 74, 11, 287, 203, 119, 161, 29, 3, 3], [0, 6, 74, 12, 280, 224, 84, 196, 8, 10, 2], [0, 6, 75, 4, 308, 168, 154, 140, 36, 2, 3], [0, 6, 75, 5, 301, 189, 119, 175, 15, 9, 2], [0, 7, 65, 46, 210, 308, 28, 210, 14, 5, 3], [0, 7, 66, 39, 231, 273, 63, 189, 21, 4, 3], [0, 7, 66, 40, 224, 294, 28, 224, 0, 11, 2], [0, 7, 67, 32, 252, 238, 98, 168, 28, 3, 3], [0, 7, 67, 33, 245, 259, 63, 203, 7, 10, 2], [0, 7, 68, 25, 273, 203, 133, 147, 35, 2, 3], [0, 7, 68, 26, 266, 224, 98, 182, 14, 9, 2], [0, 7, 69, 18, 294, 168, 168, 126, 42, 1, 3], [0, 7, 69, 19, 287, 189, 133, 161, 21, 8, 2], [0, 7, 69, 20, 280, 210, 98, 196, 0, 15, 1], [0, 7, 70, 11, 315, 133, 203, 105, 49, 0, 3], [0, 7, 70, 12, 308, 154, 168, 140, 28, 7, 2], [0, 7, 70, 13, 301, 175, 133, 175, 7, 14, 1], [0, 7, 71, 5, 329, 119, 203, 119, 35, 6, 2], [0, 7, 71, 6, 322, 140, 168, 154, 14, 13, 1], [0, 7, 72, 0, 336, 126, 168, 168, 0, 19, 0], [0, 8, 58, 67, 175, 343, 7, 217, 13, 5, 3], [0, 8, 59, 60, 196, 308, 42, 196, 20, 4, 3], [0, 8, 60, 53, 217, 273, 77, 175, 27, 3, 3], [0, 8, 60, 54, 210, 294, 42, 210, 6, 10, 2], [0, 8, 61, 46, 238, 238, 112, 154, 34, 2, 3], [0, 8, 61, 47, 231, 259, 77, 189, 13, 9, 2], [0, 8, 62, 39, 259, 203, 147, 133, 41, 1, 3], [0, 8, 62, 40, 252, 224, 112, 168, 20, 8, 2], [0, 8, 63, 32, 280, 168, 182, 112, 48, 0, 3], [0, 8, 63, 33, 273, 189, 147, 147, 27, 7, 2], [0, 8, 63, 34, 266, 210, 112, 182, 6, 14, 1], [0, 8, 64, 26, 294, 154, 182, 126, 34, 6, 2], [0, 8, 64, 27, 287, 175, 147, 161, 13, 13, 1], [0, 8, 65, 19, 315, 119, 217, 105, 41, 5, 2], [0, 8, 65, 20, 308, 140, 182, 140, 20, 12, 1], [0, 8, 66, 12, 336, 84, 252, 84, 48, 4, 2], [0, 8, 66, 13, 329, 105, 217, 119, 27, 11, 1], [0, 8, 66, 14, 322, 126, 182, 154, 6, 18, 0], [0, 8, 67, 5, 357, 49, 287, 63, 55, 3, 2], [0, 8, 67, 6, 350, 70, 252, 98, 34, 10, 1], [0, 8, 67, 7, 343, 91, 217, 133, 13, 17, 0], [0, 8, 68, 0, 364, 56, 252, 112, 20, 16, 0], [0, 9, 52, 81, 161, 343, 21, 203, 19, 4, 3], [0, 9, 53, 74, 182, 308, 56, 182, 26, 3, 3], [0, 9, 53, 75, 175, 329, 21, 217, 5, 10, 2], [0, 9, 54, 67, 203, 273, 91, 161, 33, 2, 3], [0, 9, 54, 68, 196, 294, 56, 196, 12, 9, 2], [0, 9, 55, 60, 224, 238, 126, 140, 40, 1, 3], [0, 9, 55, 61, 217, 259, 91, 175, 19, 8, 2], [0, 9, 56, 53, 245, 203, 161, 119, 47, 0, 3], [0, 9, 56, 54, 238, 224, 126, 154, 26, 7, 2], [0, 9, 56, 55, 231, 245, 91, 189, 5, 14, 1], [0, 9, 57, 47, 259, 189, 161, 133, 33, 6, 2], [0, 9, 57, 48, 252, 210, 126, 168, 12, 13, 1], [0, 9, 58, 40, 280, 154, 196, 112, 40, 5, 2], [0, 9, 58, 41, 273, 175, 161, 147, 19, 12, 1], [0, 9, 59, 33, 301, 119, 231, 91, 47, 4, 2], [0, 9, 59, 34, 294, 140, 196, 126, 26, 11, 1], [0, 9, 59, 35, 287, 161, 161, 161, 5, 18, 0], [0, 9, 60, 26, 322, 84, 266, 70, 54, 3, 2], [0, 9, 60, 27, 315, 105, 231, 105, 33, 10, 1], [0, 9, 60, 28, 308, 126, 196, 140, 12, 17, 0], [0, 9, 61, 19, 343, 49, 301, 49, 61, 2, 2], [0, 9, 61, 20, 336, 70, 266, 84, 40, 9, 1], [0, 9, 61, 21, 329, 91, 231, 119, 19, 16, 0], [0, 9, 62, 12, 364, 14, 336, 28, 68, 1, 2], [0, 9, 62, 13, 357, 35, 301, 63, 47, 8, 1], [0, 9, 62, 14, 350, 56, 266, 98, 26, 15, 0], [0, 9, 63, 6, 378, 0, 336, 42, 54, 7, 1], [0, 9, 63, 7, 371, 21, 301, 77, 33, 14, 0], [0, 10, 45, 102, 126, 378, 0, 210, 18, 4, 3], [0, 10, 46, 95, 147, 343, 35, 189, 25, 3, 3], [0, 10, 46, 96, 140, 364, 0, 224, 4, 10, 2], [0, 10, 47, 88, 168, 308, 70, 168, 32, 2, 3], [0, 10, 47, 89, 161, 329, 35, 203, 11, 9, 2], [0, 10, 48, 81, 189, 273, 105, 147, 39, 1, 3], [0, 10, 48, 82, 182, 294, 70, 182, 18, 8, 2], [0, 10, 49, 74, 210, 238, 140, 126, 46, 0, 3], [0, 10, 49, 75, 203, 259, 105, 161, 25, 7, 2], [0, 10, 49, 76, 196, 280, 70, 196, 4, 14, 1], [0, 10, 50, 68, 224, 224, 140, 140, 32, 6, 2], [0, 10, 50, 69, 217, 245, 105, 175, 11, 13, 1], [0, 10, 51, 61, 245, 189, 175, 119, 39, 5, 2], [0, 10, 51, 62, 238, 210, 140, 154, 18, 12, 1], [0, 10, 52, 54, 266, 154, 210, 98, 46, 4, 2], [0, 10, 52, 55, 259, 175, 175, 133, 25, 11, 1], [0, 10, 52, 56, 252, 196, 140, 168, 4, 18, 0], [0, 10, 53, 47, 287, 119, 245, 77, 53, 3, 2], [0, 10, 53, 48, 280, 140, 210, 112, 32, 10, 1], [0, 10, 53, 49, 273, 161, 175, 147, 11, 17, 0], [0, 10, 54, 40, 308, 84, 280, 56, 60, 2, 2], [0, 10, 54, 41, 301, 105, 245, 91, 39, 9, 1], [0, 10, 54, 42, 294, 126, 210, 126, 18, 16, 0], [0, 10, 55, 33, 329, 49, 315, 35, 67, 1, 2], [0, 10, 55, 34, 322, 70, 280, 70, 46, 8, 1], [0, 10, 55, 35, 315, 91, 245, 105, 25, 15, 0], [0, 10, 56, 26, 350, 14, 350, 14, 74, 0, 2], [0, 10, 56, 27, 343, 35, 315, 49, 53, 7, 1], [0, 10, 56, 28, 336, 56, 280, 84, 32, 14, 0], [0, 10, 57, 20, 364, 0, 350, 28, 60, 6, 1], [0, 10, 57, 21, 357, 21, 315, 63, 39, 13, 0], [0, 11, 39, 116, 112, 378, 14, 196, 24, 3, 3], [0, 11, 40, 109, 133, 343, 49, 175, 31, 2, 3], [0, 11, 40, 110, 126, 364, 14, 210, 10, 9, 2], [0, 11, 41, 102, 154, 308, 84, 154, 38, 1, 3], [0, 11, 41, 103, 147, 329, 49, 189, 17, 8, 2], [0, 11, 42, 95, 175, 273, 119, 133, 45, 0, 3], [0, 11, 42, 96, 168, 294, 84, 168, 24, 7, 2], [0, 11, 42, 97, 161, 315, 49, 203, 3, 14, 1], [0, 11, 43, 89, 189, 259, 119, 147, 31, 6, 2], [0, 11, 43, 90, 182, 280, 84, 182, 10, 13, 1], [0, 11, 44, 82, 210, 224, 154, 126, 38, 5, 2], [0, 11, 44, 83, 203, 245, 119, 161, 17, 12, 1], [0, 11, 45, 75, 231, 189, 189, 105, 45, 4, 2], [0, 11, 45, 76, 224, 210, 154, 140, 24, 11, 1], [0, 11, 45, 77, 217, 231, 119, 175, 3, 18, 0], [0, 11, 46, 68, 252, 154, 224, 84, 52, 3, 2], [0, 11, 46, 69, 245, 175, 189, 119, 31, 10, 1], [0, 11, 46, 70, 238, 196, 154, 154, 10, 17, 0], [0, 11, 47, 61, 273, 119, 259, 63, 59, 2, 2], [0, 11, 47, 62, 266, 140, 224, 98, 38, 9, 1], [0, 11, 47, 63, 259, 161, 189, 133, 17, 16, 0], [0, 11, 48, 54, 294, 84, 294, 42, 66, 1, 2], [0, 11, 48, 55, 287, 105, 259, 77, 45, 8, 1], [0, 11, 48, 56, 280, 126, 224, 112, 24, 15, 0], [0, 11, 49, 47, 315, 49, 329, 21, 73, 0, 2], [0, 11, 49, 48, 308, 70, 294, 56, 52, 7, 1], [0, 11, 49, 49, 301, 91, 259, 91, 31, 14, 0], [0, 11, 50, 41, 329, 35, 329, 35, 59, 6, 1], [0, 11, 50, 42, 322, 56, 294, 70, 38, 13, 0], [0, 11, 51, 34, 350, 0, 364, 14, 66, 5, 1], [0, 11, 51, 35, 343, 21, 329, 49, 45, 12, 0], [0, 12, 33, 130, 98, 378, 28, 182, 30, 2, 3], [0, 12, 34, 123, 119, 343, 63, 161, 37, 1, 3], [0, 12, 34, 124, 112, 364, 28, 196, 16, 8, 2], [0, 12, 35, 116, 140, 308, 98, 140, 44, 0, 3], [0, 12, 35, 117, 133, 329, 63, 175, 23, 7, 2], [0, 12, 35, 118, 126, 350, 28, 210, 2, 14, 1], [0, 12, 36, 110, 154, 294, 98, 154, 30, 6, 2], [0, 12, 36, 111, 147, 315, 63, 189, 9, 13, 1], [0, 12, 37, 103, 175, 259, 133, 133, 37, 5, 2], [0, 12, 37, 104, 168, 280, 98, 168, 16, 12, 1], [0, 12, 38, 96, 196, 224, 168, 112, 44, 4, 2], [0, 12, 38, 97, 189, 245, 133, 147, 23, 11, 1], [0, 12, 38, 98, 182, 266, 98, 182, 2, 18, 0], [0, 12, 39, 89, 217, 189, 203, 91, 51, 3, 2], [0, 12, 39, 90, 210, 210, 168, 126, 30, 10, 1], [0, 12, 39, 91, 203, 231, 133, 161, 9, 17, 0], [0, 12, 40, 82, 238, 154, 238, 70, 58, 2, 2], [0, 12, 40, 83, 231, 175, 203, 105, 37, 9, 1], [0, 12, 40, 84, 224, 196, 168, 140, 16, 16, 0], [0, 12, 41, 75, 259, 119, 273, 49, 65, 1, 2], [0, 12, 41, 76, 252, 140, 238, 84, 44, 8, 1], [0, 12, 41, 77, 245, 161, 203, 119, 23, 15, 0], [0, 12, 42, 68, 280, 84, 308, 28, 72, 0, 2], [0, 12, 42, 69, 273, 105, 273, 63, 51, 7, 1], [0, 12, 42, 70, 266, 126, 238, 98, 30, 14, 0], [0, 12, 43, 62, 294, 70, 308, 42, 58, 6, 1], [0, 12, 43, 63, 287, 91, 273, 77, 37, 13, 0], [0, 12, 44, 55, 315, 35, 343, 21, 65, 5, 1], [0, 12, 44, 56, 308, 56, 308, 56, 44, 12, 0], [0, 12, 45, 48, 336, 0, 378, 0, 72, 4, 1], [0, 12, 45, 49, 329, 21, 343, 35, 51, 11, 0], [0, 13, 26, 151, 63, 413, 7, 189, 29, 2, 3], [0, 13, 27, 144, 84, 378, 42, 168, 36, 1, 3], [0, 13, 27, 145, 77, 399, 7, 203, 15, 8, 2], [0, 13, 28, 137, 105, 343, 77, 147, 43, 0, 3], [0, 13, 28, 138, 98, 364, 42, 182, 22, 7, 2], [0, 13, 28, 139, 91, 385, 7, 217, 1, 14, 1], [0, 13, 29, 131, 119, 329, 77, 161, 29, 6, 2], [0, 13, 29, 132, 112, 350, 42, 196, 8, 13, 1], [0, 13, 30, 124, 140, 294, 112, 140, 36, 5, 2], [0, 13, 30, 125, 133, 315, 77, 175, 15, 12, 1], [0, 13, 31, 117, 161, 259, 147, 119, 43, 4, 2], [0, 13, 31, 118, 154, 280, 112, 154, 22, 11, 1], [0, 13, 31, 119, 147, 301, 77, 189, 1, 18, 0], [0, 13, 32, 110, 182, 224, 182, 98, 50, 3, 2], [0, 13, 32, 111, 175, 245, 147, 133, 29, 10, 1], [0, 13, 32, 112, 168, 266, 112, 168, 8, 17, 0], [0, 13, 33, 103, 203, 189, 217, 77, 57, 2, 2], [0, 13, 33, 104, 196, 210, 182, 112, 36, 9, 1], [0, 13, 33, 105, 189, 231, 147, 147, 15, 16, 0], [0, 13, 34, 96, 224, 154, 252, 56, 64, 1, 2], [0, 13, 34, 97, 217, 175, 217, 91, 43, 8, 1], [0, 13, 34, 98, 210, 196, 182, 126, 22, 15, 0], [0, 13, 35, 89, 245, 119, 287, 35, 71, 0, 2], [0, 13, 35, 90, 238, 140, 252, 70, 50, 7, 1], [0, 13, 35, 91, 231, 161, 217, 105, 29, 14, 0], [0, 13, 36, 83, 259, 105, 287, 49, 57, 6, 1], [0, 13, 36, 84, 252, 126, 252, 84, 36, 13, 0], [0, 13, 37, 76, 280, 70, 322, 28, 64, 5, 1], [0, 13, 37, 77, 273, 91, 287, 63, 43, 12, 0], [0, 13, 38, 69, 301, 35, 357, 7, 71, 4, 1], [0, 13, 38, 70, 294, 56, 322, 42, 50, 11, 0], [0, 13, 39, 63, 315, 21, 357, 21, 57, 10, 0], [0, 14, 20, 165, 49, 413, 21, 175, 35, 1, 3], [0, 14, 21, 158, 70, 378, 56, 154, 42, 0, 3], [0, 14, 21, 159, 63, 399, 21, 189, 21, 7, 2], [0, 14, 22, 152, 84, 364, 56, 168, 28, 6, 2], [0, 14, 22, 153, 77, 385, 21, 203, 7, 13, 1], [0, 14, 23, 145, 105, 329, 91, 147, 35, 5, 2], [0, 14, 23, 146, 98, 350, 56, 182, 14, 12, 1], [0, 14, 24, 138, 126, 294, 126, 126, 42, 4, 2], [0, 14, 24, 139, 119, 315, 91, 161, 21, 11, 1], [0, 14, 24, 140, 112, 336, 56, 196, 0, 18, 0], [0, 14, 25, 131, 147, 259, 161, 105, 49, 3, 2], [0, 14, 25, 132, 140, 280, 126, 140, 28, 10, 1], [0, 14, 25, 133, 133, 301, 91, 175, 7, 17, 0], [0, 14, 26, 124, 168, 224, 196, 84, 56, 2, 2], [0, 14, 26, 125, 161, 245, 161, 119, 35, 9, 1], [0, 14, 26, 126, 154, 266, 126, 154, 14, 16, 0], [0, 14, 27, 117, 189, 189, 231, 63, 63, 1, 2], [0, 14, 27, 118, 182, 210, 196, 98, 42, 8, 1], [0, 14, 27, 119, 175, 231, 161, 133, 21, 15, 0], [0, 14, 28, 110, 210, 154, 266, 42, 70, 0, 2], [0, 14, 28, 111, 203, 175, 231, 77, 49, 7, 1], [0, 14, 28, 112, 196, 196, 196, 112, 28, 14, 0], [0, 14, 29, 104, 224, 140, 266, 56, 56, 6, 1], [0, 14, 29, 105, 217, 161, 231, 91, 35, 13, 0], [0, 14, 30, 97, 245, 105, 301, 35, 63, 5, 1], [0, 14, 30, 98, 238, 126, 266, 70, 42, 12, 0], [0, 14, 31, 90, 266, 70, 336, 14, 70, 4, 1], [0, 14, 31, 91, 259, 91, 301, 49, 49, 11, 0], [0, 14, 32, 84, 280, 56, 336, 28, 56, 10, 0], [0, 14, 33, 77, 301, 21, 371, 7, 63, 9, 0], [0, 15, 13, 186, 14, 448, 0, 182, 34, 1, 3], [0, 15, 14, 179, 35, 413, 35, 161, 41, 0, 3], [0, 15, 14, 180, 28, 434, 0, 196, 20, 7, 2], [0, 15, 15, 173, 49, 399, 35, 175, 27, 6, 2], [0, 15, 15, 174, 42, 420, 0, 210, 6, 13, 1], [0, 15, 16, 166, 70, 364, 70, 154, 34, 5, 2], [0, 15, 16, 167, 63, 385, 35, 189, 13, 12, 1], [0, 15, 17, 159, 91, 329, 105, 133, 41, 4, 2], [0, 15, 17, 160, 84, 350, 70, 168, 20, 11, 1], [0, 15, 18, 152, 112, 294, 140, 112, 48, 3, 2], [0, 15, 18, 153, 105, 315, 105, 147, 27, 10, 1], [0, 15, 18, 154, 98, 336, 70, 182, 6, 17, 0], [0, 15, 19, 145, 133, 259, 175, 91, 55, 2, 2], [0, 15, 19, 146, 126, 280, 140, 126, 34, 9, 1], [0, 15, 19, 147, 119, 301, 105, 161, 13, 16, 0], [0, 15, 20, 138, 154, 224, 210, 70, 62, 1, 2], [0, 15, 20, 139, 147, 245, 175, 105, 41, 8, 1], [0, 15, 20, 140, 140, 266, 140, 140, 20, 15, 0], [0, 15, 21, 131, 175, 189, 245, 49, 69, 0, 2], [0, 15, 21, 132, 168, 210, 210, 84, 48, 7, 1], [0, 15, 21, 133, 161, 231, 175, 119, 27, 14, 0], [0, 15, 22, 125, 189, 175, 245, 63, 55, 6, 1], [0, 15, 22, 126, 182, 196, 210, 98, 34, 13, 0], [0, 15, 23, 118, 210, 140, 280, 42, 62, 5, 1], [0, 15, 23, 119, 203, 161, 245, 77, 41, 12, 0], [0, 15, 24, 111, 231, 105, 315, 21, 69, 4, 1], [0, 15, 24, 112, 224, 126, 280, 56, 48, 11, 0], [0, 15, 25, 104, 252, 70, 350, 0, 76, 3, 1], [0, 15, 25, 105, 245, 91, 315, 35, 55, 10, 0], [0, 15, 26, 98, 266, 56, 350, 14, 62, 9, 0], [0, 16, 7, 200, 0, 448, 14, 168, 40, 0, 3], [0, 16, 8, 194, 14, 434, 14, 182, 26, 6, 2], [0, 16, 9, 187, 35, 399, 49, 161, 33, 5, 2], [0, 16, 9, 188, 28, 420, 14, 196, 12, 12, 1], [0, 16, 10, 180, 56, 364, 84, 140, 40, 4, 2], [0, 16, 10, 181, 49, 385, 49, 175, 19, 11, 1], [0, 16, 11, 173, 77, 329, 119, 119, 47, 3, 2], [0, 16, 11, 174, 70, 350, 84, 154, 26, 10, 1], [0, 16, 11, 175, 63, 371, 49, 189, 5, 17, 0], [0, 16, 12, 166, 98, 294, 154, 98, 54, 2, 2], [0, 16, 12, 167, 91, 315, 119, 133, 33, 9, 1], [0, 16, 12, 168, 84, 336, 84, 168, 12, 16, 0], [0, 16, 13, 159, 119, 259, 189, 77, 61, 1, 2], [0, 16, 13, 160, 112, 280, 154, 112, 40, 8, 1], [0, 16, 13, 161, 105, 301, 119, 147, 19, 15, 0], [0, 16, 14, 152, 140, 224, 224, 56, 68, 0, 2], [0, 16, 14, 153, 133, 245, 189, 91, 47, 7, 1], [0, 16, 14, 154, 126, 266, 154, 126, 26, 14, 0], [0, 16, 15, 146, 154, 210, 224, 70, 54, 6, 1], [0, 16, 15, 147, 147, 231, 189, 105, 33, 13, 0], [0, 16, 16, 139, 175, 175, 259, 49, 61, 5, 1], [0, 16, 16, 140, 168, 196, 224, 84, 40, 12, 0], [0, 16, 17, 132, 196, 140, 294, 28, 68, 4, 1], [0, 16, 17, 133, 189, 161, 259, 63, 47, 11, 0], [0, 16, 18, 125, 217, 105, 329, 7, 75, 3, 1], [0, 16, 18, 126, 210, 126, 294, 42, 54, 10, 0], [0, 16, 19, 119, 231, 91, 329, 21, 61, 9, 0], [0, 16, 20, 112, 252, 56, 364, 0, 68, 8, 0], [0, 17, 2, 208, 0, 434, 28, 168, 32, 5, 2], [0, 17, 3, 201, 21, 399, 63, 147, 39, 4, 2], [0, 17, 3, 202, 14, 420, 28, 182, 18, 11, 1], [0, 17, 4, 194, 42, 364, 98, 126, 46, 3, 2], [0, 17, 4, 195, 35, 385, 63, 161, 25, 10, 1], [0, 17, 4, 196, 28, 406, 28, 196, 4, 17, 0], [0, 17, 5, 187, 63, 329, 133, 105, 53, 2, 2], [0, 17, 5, 188, 56, 350, 98, 140, 32, 9, 1], [0, 17, 5, 189, 49, 371, 63, 175, 11, 16, 0], [0, 17, 6, 180, 84, 294, 168, 84, 60, 1, 2], [0, 17, 6, 181, 77, 315, 133, 119, 39, 8, 1], [0, 17, 6, 182, 70, 336, 98, 154, 18, 15, 0], [0, 17, 7, 173, 105, 259, 203, 63, 67, 0, 2], [0, 17, 7, 174, 98, 280, 168, 98, 46, 7, 1], [0, 17, 7, 175, 91, 301, 133, 133, 25, 14, 0], [0, 17, 8, 167, 119, 245, 203, 77, 53, 6, 1], [0, 17, 8, 168, 112, 266, 168, 112, 32, 13, 0], [0, 17, 9, 160, 140, 210, 238, 56, 60, 5, 1], [0, 17, 9, 161, 133, 231, 203, 91, 39, 12, 0], [0, 17, 10, 153, 161, 175, 273, 35, 67, 4, 1], [0, 17, 10, 154, 154, 196, 238, 70, 46, 11, 0], [0, 17, 11, 146, 182, 140, 308, 14, 74, 3, 1], [0, 17, 11, 147, 175, 161, 273, 49, 53, 10, 0], [0, 17, 12, 140, 196, 126, 308, 28, 60, 9, 0], [0, 17, 13, 133, 217, 91, 343, 7, 67, 8, 0], [0, 18, 0, 194, 70, 294, 182, 70, 66, 0, 2], [0, 18, 0, 195, 63, 315, 147, 105, 45, 7, 1], [0, 18, 0, 196, 56, 336, 112, 140, 24, 14, 0], [0, 18, 1, 188, 84, 280, 182, 84, 52, 6, 1], [0, 18, 1, 189, 77, 301, 147, 119, 31, 13, 0], [0, 18, 2, 181, 105, 245, 217, 63, 59, 5, 1], [0, 18, 2, 182, 98, 266, 182, 98, 38, 12, 0], [0, 18, 3, 174, 126, 210, 252, 42, 66, 4, 1], [0, 18, 3, 175, 119, 231, 217, 77, 45, 11, 0], [0, 18, 4, 167, 147, 175, 287, 21, 73, 3, 1], [0, 18, 4, 168, 140, 196, 252, 56, 52, 10, 0], [0, 18, 5, 160, 168, 140, 322, 0, 80, 2, 1], [0, 18, 5, 161, 161, 161, 287, 35, 59, 9, 0], [0, 18, 6, 154, 182, 126, 322, 14, 66, 8, 0], [0, 19, 0, 168, 168, 126, 336, 0, 72, 7, 0]}
(11, 896, 6) has 1723 possible DDs: {[0, 0, 47, 69, 18, 462, 0, 168, 126, 2, 1, 3], [0, 0, 48, 62, 39, 427, 35, 147, 133, 1, 1, 3], [0, 0, 48, 63, 32, 448, 0, 182, 112, 8, 0, 3], [0, 0, 49, 55, 60, 392, 70, 126, 140, 0, 1, 3], [0, 0, 49, 56, 53, 413, 35, 161, 119, 7, 0, 3], [0, 0, 50, 49, 74, 378, 70, 140, 126, 6, 0, 3], [0, 0, 51, 42, 95, 343, 105, 119, 133, 5, 0, 3], [0, 0, 51, 45, 75, 399, 21, 189, 105, 5, 4, 2], [0, 0, 52, 35, 116, 308, 140, 98, 140, 4, 0, 3], [0, 0, 52, 38, 96, 364, 56, 168, 112, 4, 4, 2], [0, 0, 52, 39, 89, 385, 21, 203, 91, 11, 3, 2], [0, 0, 53, 28, 137, 273, 175, 77, 147, 3, 0, 3], [0, 0, 53, 31, 117, 329, 91, 147, 119, 3, 4, 2], [0, 0, 53, 32, 110, 350, 56, 182, 98, 10, 3, 2], [0, 0, 53, 33, 103, 371, 21, 217, 77, 17, 2, 2], [0, 0, 53, 34, 97, 385, 7, 217, 91, 3, 8, 1], [0, 0, 54, 21, 158, 238, 210, 56, 154, 2, 0, 3], [0, 0, 54, 24, 138, 294, 126, 126, 126, 2, 4, 2], [0, 0, 54, 25, 131, 315, 91, 161, 105, 9, 3, 2], [0, 0, 54, 26, 124, 336, 56, 196, 84, 16, 2, 2], [0, 0, 54, 27, 117, 357, 21, 231, 63, 23, 1, 2], [0, 0, 54, 27, 118, 350, 42, 196, 98, 2, 8, 1], [0, 0, 54, 28, 111, 371, 7, 231, 77, 9, 7, 1], [0, 0, 55, 14, 179, 203, 245, 35, 161, 1, 0, 3], [0, 0, 55, 17, 159, 259, 161, 105, 133, 1, 4, 2], [0, 0, 55, 18, 152, 280, 126, 140, 112, 8, 3, 2], [0, 0, 55, 19, 145, 301, 91, 175, 91, 15, 2, 2], [0, 0, 55, 20, 138, 322, 56, 210, 70, 22, 1, 2], [0, 0, 55, 20, 139, 315, 77, 175, 105, 1, 8, 1], [0, 0, 55, 21, 131, 343, 21, 245, 49, 29, 0, 2], [0, 0, 55, 21, 132, 336, 42, 210, 84, 8, 7, 1], [0, 0, 55, 22, 125, 357, 7, 245, 63, 15, 6, 1], [0, 0, 56, 7, 200, 168, 280, 14, 168, 0, 0, 3], [0, 0, 56, 10, 180, 224, 196, 84, 140, 0, 4, 2], [0, 0, 56, 11, 173, 245, 161, 119, 119, 7, 3, 2], [0, 0, 56, 12, 166, 266, 126, 154, 98, 14, 2, 2], [0, 0, 56, 13, 159, 287, 91, 189, 77, 21, 1, 2], [0, 0, 56, 13, 160, 280, 112, 154, 112, 0, 8, 1], [0, 0, 56, 14, 152, 308, 56, 224, 56, 28, 0, 2], [0, 0, 56, 14, 153, 301, 77, 189, 91, 7, 7, 1], [0, 0, 56, 15, 146, 322, 42, 224, 70, 14, 6, 1], [0, 0, 56, 16, 139, 343, 7, 259, 49, 21, 5, 1], [0, 0, 56, 16, 140, 336, 28, 224, 84, 0, 12, 0], [0, 0, 57, 4, 194, 210, 196, 98, 126, 6, 3, 2], [0, 0, 57, 5, 187, 231, 161, 133, 105, 13, 2, 2], [0, 0, 57, 6, 180, 252, 126, 168, 84, 20, 1, 2], [0, 0, 57, 7, 173, 273, 91, 203, 63, 27, 0, 2], [0, 0, 57, 7, 174, 266, 112, 168, 98, 6, 7, 1], [0, 0, 57, 8, 167, 287, 77, 203, 77, 13, 6, 1], [0, 0, 57, 9, 160, 308, 42, 238, 56, 20, 5, 1], [0, 0, 57, 10, 153, 329, 7, 273, 35, 27, 4, 1], [0, 0, 57, 10, 154, 322, 28, 238, 70, 6, 11, 0], [0, 0, 58, 0, 194, 238, 126, 182, 70, 26, 0, 2], [0, 0, 58, 0, 195, 231, 147, 147, 105, 5, 7, 1], [0, 0, 58, 1, 188, 252, 112, 182, 84, 12, 6, 1], [0, 0, 58, 2, 181, 273, 77, 217, 63, 19, 5, 1], [0, 0, 58, 3, 174, 294, 42, 252, 42, 26, 4, 1], [0, 0, 58, 3, 175, 287, 63, 217, 77, 5, 11, 0], [0, 0, 58, 4, 167, 315, 7, 287, 21, 33, 3, 1], [0, 0, 58, 4, 168, 308, 28, 252, 56, 12, 10, 0], [0, 1, 41, 83, 4, 462, 14, 154, 132, 1, 1, 3], [0, 1, 42, 76, 25, 427, 49, 133, 139, 0, 1, 3], [0, 1, 42, 77, 18, 448, 14, 168, 118, 7, 0, 3], [0, 1, 43, 70, 39, 413, 49, 147, 125, 6, 0, 3], [0, 1, 44, 63, 60, 378, 84, 126, 132, 5, 0, 3], [0, 1, 44, 66, 40, 434, 0, 196, 104, 5, 4, 2], [0, 1, 45, 56, 81, 343, 119, 105, 139, 4, 0, 3], [0, 1, 45, 59, 61, 399, 35, 175, 111, 4, 4, 2], [0, 1, 45, 60, 54, 420, 0, 210, 90, 11, 3, 2], [0, 1, 46, 49, 102, 308, 154, 84, 146, 3, 0, 3], [0, 1, 46, 52, 82, 364, 70, 154, 118, 3, 4, 2], [0, 1, 46, 53, 75, 385, 35, 189, 97, 10, 3, 2], [0, 1, 46, 54, 68, 406, 0, 224, 76, 17, 2, 2], [0, 1, 47, 42, 123, 273, 189, 63, 153, 2, 0, 3], [0, 1, 47, 45, 103, 329, 105, 133, 125, 2, 4, 2], [0, 1, 47, 46, 96, 350, 70, 168, 104, 9, 3, 2], [0, 1, 47, 47, 89, 371, 35, 203, 83, 16, 2, 2], [0, 1, 47, 48, 82, 392, 0, 238, 62, 23, 1, 2], [0, 1, 47, 48, 83, 385, 21, 203, 97, 2, 8, 1], [0, 1, 48, 35, 144, 238, 224, 42, 160, 1, 0, 3], [0, 1, 48, 38, 124, 294, 140, 112, 132, 1, 4, 2], [0, 1, 48, 39, 117, 315, 105, 147, 111, 8, 3, 2], [0, 1, 48, 40, 110, 336, 70, 182, 90, 15, 2, 2], [0, 1, 48, 41, 103, 357, 35, 217, 69, 22, 1, 2], [0, 1, 48, 41, 104, 350, 56, 182, 104, 1, 8, 1], [0, 1, 48, 42, 96, 378, 0, 252, 48, 29, 0, 2], [0, 1, 48, 42, 97, 371, 21, 217, 83, 8, 7, 1], [0, 1, 49, 28, 165, 203, 259, 21, 167, 0, 0, 3], [0, 1, 49, 31, 145, 259, 175, 91, 139, 0, 4, 2], [0, 1, 49, 32, 138, 280, 140, 126, 118, 7, 3, 2], [0, 1, 49, 33, 131, 301, 105, 161, 97, 14, 2, 2], [0, 1, 49, 34, 124, 322, 70, 196, 76, 21, 1, 2], [0, 1, 49, 34, 125, 315, 91, 161, 111, 0, 8, 1], [0, 1, 49, 35, 117, 343, 35, 231, 55, 28, 0, 2], [0, 1, 49, 35, 118, 336, 56, 196, 90, 7, 7, 1], [0, 1, 49, 36, 111, 357, 21, 231, 69, 14, 6, 1], [0, 1, 49, 37, 105, 371, 7, 231, 83, 0, 12, 0], [0, 1, 50, 25, 159, 245, 175, 105, 125, 6, 3, 2], [0, 1, 50, 26, 152, 266, 140, 140, 104, 13, 2, 2], [0, 1, 50, 27, 145, 287, 105, 175, 83, 20, 1, 2], [0, 1, 50, 28, 138, 308, 70, 210, 62, 27, 0, 2], [0, 1, 50, 28, 139, 301, 91, 175, 97, 6, 7, 1], [0, 1, 50, 29, 132, 322, 56, 210, 76, 13, 6, 1], [0, 1, 50, 30, 125, 343, 21, 245, 55, 20, 5, 1], [0, 1, 50, 31, 119, 357, 7, 245, 69, 6, 11, 0], [0, 1, 51, 18, 180, 210, 210, 84, 132, 5, 3, 2], [0, 1, 51, 19, 173, 231, 175, 119, 111, 12, 2, 2], [0, 1, 51, 20, 166, 252, 140, 154, 90, 19, 1, 2], [0, 1, 51, 21, 159, 273, 105, 189, 69, 26, 0, 2], [0, 1, 51, 21, 160, 266, 126, 154, 104, 5, 7, 1], [0, 1, 51, 22, 153, 287, 91, 189, 83, 12, 6, 1], [0, 1, 51, 23, 146, 308, 56, 224, 62, 19, 5, 1], [0, 1, 51, 24, 139, 329, 21, 259, 41, 26, 4, 1], [0, 1, 51, 24, 140, 322, 42, 224, 76, 5, 11, 0], [0, 1, 51, 25, 133, 343, 7, 259, 55, 12, 10, 0], [0, 1, 52, 11, 201, 175, 245, 63, 139, 4, 3, 2], [0, 1, 52, 12, 194, 196, 210, 98, 118, 11, 2, 2], [0, 1, 52, 13, 187, 217, 175, 133, 97, 18, 1, 2], [0, 1, 52, 14, 180, 238, 140, 168, 76, 25, 0, 2], [0, 1, 52, 14, 181, 231, 161, 133, 111, 4, 7, 1], [0, 1, 52, 15, 174, 252, 126, 168, 90, 11, 6, 1], [0, 1, 52, 16, 167, 273, 91, 203, 69, 18, 5, 1], [0, 1, 52, 17, 160, 294, 56, 238, 48, 25, 4, 1], [0, 1, 52, 17, 161, 287, 77, 203, 83, 4, 11, 0], [0, 1, 52, 18, 153, 315, 21, 273, 27, 32, 3, 1], [0, 1, 52, 18, 154, 308, 42, 238, 62, 11, 10, 0], [0, 1, 52, 19, 147, 329, 7, 273, 41, 18, 9, 0], [0, 1, 53, 4, 222, 140, 280, 42, 146, 3, 3, 2], [0, 1, 53, 5, 215, 161, 245, 77, 125, 10, 2, 2], [0, 1, 53, 6, 208, 182, 210, 112, 104, 17, 1, 2], [0, 1, 53, 7, 201, 203, 175, 147, 83, 24, 0, 2], [0, 1, 53, 7, 202, 196, 196, 112, 118, 3, 7, 1], [0, 1, 53, 8, 195, 217, 161, 147, 97, 10, 6, 1], [0, 1, 53, 9, 188, 238, 126, 182, 76, 17, 5, 1], [0, 1, 53, 10, 181, 259, 91, 217, 55, 24, 4, 1], [0, 1, 53, 10, 182, 252, 112, 182, 90, 3, 11, 0], [0, 1, 53, 11, 174, 280, 56, 252, 34, 31, 3, 1], [0, 1, 53, 11, 175, 273, 77, 217, 69, 10, 10, 0], [0, 1, 53, 12, 167, 301, 21, 287, 13, 38, 2, 1], [0, 1, 53, 12, 168, 294, 42, 252, 48, 17, 9, 0], [0, 1, 53, 13, 161, 315, 7, 287, 27, 24, 8, 0], [0, 1, 54, 0, 222, 168, 210, 126, 90, 23, 0, 2], [0, 1, 54, 0, 223, 161, 231, 91, 125, 2, 7, 1], [0, 1, 54, 1, 216, 182, 196, 126, 104, 9, 6, 1], [0, 1, 54, 2, 209, 203, 161, 161, 83, 16, 5, 1], [0, 1, 54, 3, 202, 224, 126, 196, 62, 23, 4, 1], [0, 1, 54, 3, 203, 217, 147, 161, 97, 2, 11, 0], [0, 1, 54, 4, 195, 245, 91, 231, 41, 30, 3, 1], [0, 1, 54, 4, 196, 238, 112, 196, 76, 9, 10, 0], [0, 1, 54, 5, 188, 266, 56, 266, 20, 37, 2, 1], [0, 1, 54, 5, 189, 259, 77, 231, 55, 16, 9, 0], [0, 1, 54, 6, 182, 280, 42, 266, 34, 23, 8, 0], [0, 1, 54, 7, 175, 301, 7, 301, 13, 30, 7, 0], [0, 1, 55, 0, 196, 266, 42, 280, 20, 29, 7, 0], [0, 2, 36, 91, 4, 448, 28, 154, 124, 6, 0, 3], [0, 2, 37, 84, 25, 413, 63, 133, 131, 5, 0, 3], [0, 2, 38, 77, 46, 378, 98, 112, 138, 4, 0, 3], [0, 2, 38, 80, 26, 434, 14, 182, 110, 4, 4, 2], [0, 2, 39, 70, 67, 343, 133, 91, 145, 3, 0, 3], [0, 2, 39, 73, 47, 399, 49, 161, 117, 3, 4, 2], [0, 2, 39, 74, 40, 420, 14, 196, 96, 10, 3, 2], [0, 2, 40, 63, 88, 308, 168, 70, 152, 2, 0, 3], [0, 2, 40, 66, 68, 364, 84, 140, 124, 2, 4, 2], [0, 2, 40, 67, 61, 385, 49, 175, 103, 9, 3, 2], [0, 2, 40, 68, 54, 406, 14, 210, 82, 16, 2, 2], [0, 2, 40, 69, 48, 420, 0, 210, 96, 2, 8, 1], [0, 2, 41, 56, 109, 273, 203, 49, 159, 1, 0, 3], [0, 2, 41, 59, 89, 329, 119, 119, 131, 1, 4, 2], [0, 2, 41, 60, 82, 350, 84, 154, 110, 8, 3, 2], [0, 2, 41, 61, 75, 371, 49, 189, 89, 15, 2, 2], [0, 2, 41, 62, 68, 392, 14, 224, 68, 22, 1, 2], [0, 2, 41, 62, 69, 385, 35, 189, 103, 1, 8, 1], [0, 2, 41, 63, 62, 406, 0, 224, 82, 8, 7, 1], [0, 2, 42, 49, 130, 238, 238, 28, 166, 0, 0, 3], [0, 2, 42, 52, 110, 294, 154, 98, 138, 0, 4, 2], [0, 2, 42, 53, 103, 315, 119, 133, 117, 7, 3, 2], [0, 2, 42, 54, 96, 336, 84, 168, 96, 14, 2, 2], [0, 2, 42, 55, 89, 357, 49, 203, 75, 21, 1, 2], [0, 2, 42, 55, 90, 350, 70, 168, 110, 0, 8, 1], [0, 2, 42, 56, 82, 378, 14, 238, 54, 28, 0, 2], [0, 2, 42, 56, 83, 371, 35, 203, 89, 7, 7, 1], [0, 2, 42, 57, 76, 392, 0, 238, 68, 14, 6, 1], [0, 2, 43, 46, 124, 280, 154, 112, 124, 6, 3, 2], [0, 2, 43, 47, 117, 301, 119, 147, 103, 13, 2, 2], [0, 2, 43, 48, 110, 322, 84, 182, 82, 20, 1, 2], [0, 2, 43, 49, 103, 343, 49, 217, 61, 27, 0, 2], [0, 2, 43, 49, 104, 336, 70, 182, 96, 6, 7, 1], [0, 2, 43, 50, 97, 357, 35, 217, 75, 13, 6, 1], [0, 2, 43, 51, 90, 378, 0, 252, 54, 20, 5, 1], [0, 2, 44, 39, 145, 245, 189, 91, 131, 5, 3, 2], [0, 2, 44, 40, 138, 266, 154, 126, 110, 12, 2, 2], [0, 2, 44, 41, 131, 287, 119, 161, 89, 19, 1, 2], [0, 2, 44, 42, 124, 308, 84, 196, 68, 26, 0, 2], [0, 2, 44, 42, 125, 301, 105, 161, 103, 5, 7, 1], [0, 2, 44, 43, 118, 322, 70, 196, 82, 12, 6, 1], [0, 2, 44, 44, 111, 343, 35, 231, 61, 19, 5, 1], [0, 2, 44, 45, 104, 364, 0, 266, 40, 26, 4, 1], [0, 2, 44, 45, 105, 357, 21, 231, 75, 5, 11, 0], [0, 2, 45, 32, 166, 210, 224, 70, 138, 4, 3, 2], [0, 2, 45, 33, 159, 231, 189, 105, 117, 11, 2, 2], [0, 2, 45, 34, 152, 252, 154, 140, 96, 18, 1, 2], [0, 2, 45, 35, 145, 273, 119, 175, 75, 25, 0, 2], [0, 2, 45, 35, 146, 266, 140, 140, 110, 4, 7, 1], [0, 2, 45, 36, 139, 287, 105, 175, 89, 11, 6, 1], [0, 2, 45, 37, 132, 308, 70, 210, 68, 18, 5, 1], [0, 2, 45, 38, 125, 329, 35, 245, 47, 25, 4, 1], [0, 2, 45, 38, 126, 322, 56, 210, 82, 4, 11, 0], [0, 2, 45, 39, 118, 350, 0, 280, 26, 32, 3, 1], [0, 2, 45, 39, 119, 343, 21, 245, 61, 11, 10, 0], [0, 2, 46, 25, 187, 175, 259, 49, 145, 3, 3, 2], [0, 2, 46, 26, 180, 196, 224, 84, 124, 10, 2, 2], [0, 2, 46, 27, 173, 217, 189, 119, 103, 17, 1, 2], [0, 2, 46, 28, 166, 238, 154, 154, 82, 24, 0, 2], [0, 2, 46, 28, 167, 231, 175, 119, 117, 3, 7, 1], [0, 2, 46, 29, 160, 252, 140, 154, 96, 10, 6, 1], [0, 2, 46, 30, 153, 273, 105, 189, 75, 17, 5, 1], [0, 2, 46, 31, 146, 294, 70, 224, 54, 24, 4, 1], [0, 2, 46, 31, 147, 287, 91, 189, 89, 3, 11, 0], [0, 2, 46, 32, 139, 315, 35, 259, 33, 31, 3, 1], [0, 2, 46, 32, 140, 308, 56, 224, 68, 10, 10, 0], [0, 2, 46, 33, 132, 336, 0, 294, 12, 38, 2, 1], [0, 2, 46, 33, 133, 329, 21, 259, 47, 17, 9, 0], [0, 2, 47, 18, 208, 140, 294, 28, 152, 2, 3, 2], [0, 2, 47, 19, 201, 161, 259, 63, 131, 9, 2, 2], [0, 2, 47, 20, 194, 182, 224, 98, 110, 16, 1, 2], [0, 2, 47, 21, 187, 203, 189, 133, 89, 23, 0, 2], [0, 2, 47, 21, 188, 196, 210, 98, 124, 2, 7, 1], [0, 2, 47, 22, 181, 217, 175, 133, 103, 9, 6, 1], [0, 2, 47, 23, 174, 238, 140, 168, 82, 16, 5, 1], [0, 2, 47, 24, 167, 259, 105, 203, 61, 23, 4, 1], [0, 2, 47, 24, 168, 252, 126, 168, 96, 2, 11, 0], [0, 2, 47, 25, 160, 280, 70, 238, 40, 30, 3, 1], [0, 2, 47, 25, 161, 273, 91, 203, 75, 9, 10, 0], [0, 2, 47, 26, 153, 301, 35, 273, 19, 37, 2, 1], [0, 2, 47, 26, 154, 294, 56, 238, 54, 16, 9, 0], [0, 2, 47, 27, 147, 315, 21, 273, 33, 23, 8, 0], [0, 2, 48, 11, 229, 105, 329, 7, 159, 1, 3, 2], [0, 2, 48, 12, 222, 126, 294, 42, 138, 8, 2, 2], [0, 2, 48, 13, 215, 147, 259, 77, 117, 15, 1, 2], [0, 2, 48, 14, 208, 168, 224, 112, 96, 22, 0, 2], [0, 2, 48, 14, 209, 161, 245, 77, 131, 1, 7, 1], [0, 2, 48, 15, 202, 182, 210, 112, 110, 8, 6, 1], [0, 2, 48, 16, 195, 203, 175, 147, 89, 15, 5, 1], [0, 2, 48, 17, 188, 224, 140, 182, 68, 22, 4, 1], [0, 2, 48, 17, 189, 217, 161, 147, 103, 1, 11, 0], [0, 2, 48, 18, 181, 245, 105, 217, 47, 29, 3, 1], [0, 2, 48, 18, 182, 238, 126, 182, 82, 8, 10, 0], [0, 2, 48, 19, 174, 266, 70, 252, 26, 36, 2, 1], [0, 2, 48, 19, 175, 259, 91, 217, 61, 15, 9, 0], [0, 2, 48, 20, 167, 287, 35, 287, 5, 43, 1, 1], [0, 2, 48, 20, 168, 280, 56, 252, 40, 22, 8, 0], [0, 2, 48, 21, 161, 301, 21, 287, 19, 29, 7, 0], [0, 2, 49, 5, 243, 91, 329, 21, 145, 7, 2, 2], [0, 2, 49, 6, 236, 112, 294, 56, 124, 14, 1, 2], [0, 2, 49, 7, 229, 133, 259, 91, 103, 21, 0, 2], [0, 2, 49, 7, 230, 126, 280, 56, 138, 0, 7, 1], [0, 2, 49, 8, 223, 147, 245, 91, 117, 7, 6, 1], [0, 2, 49, 9, 216, 168, 210, 126, 96, 14, 5, 1], [0, 2, 49, 10, 209, 189, 175, 161, 75, 21, 4, 1], [0, 2, 49, 10, 210, 182, 196, 126, 110, 0, 11, 0], [0, 2, 49, 11, 202, 210, 140, 196, 54, 28, 3, 1], [0, 2, 49, 11, 203, 203, 161, 161, 89, 7, 10, 0], [0, 2, 49, 12, 195, 231, 105, 231, 33, 35, 2, 1], [0, 2, 49, 12, 196, 224, 126, 196, 68, 14, 9, 0], [0, 2, 49, 13, 188, 252, 70, 266, 12, 42, 1, 1], [0, 2, 49, 13, 189, 245, 91, 231, 47, 21, 8, 0], [0, 2, 49, 14, 182, 266, 56, 266, 26, 28, 7, 0], [0, 2, 49, 15, 175, 287, 21, 301, 5, 35, 6, 0], [0, 2, 50, 0, 250, 98, 294, 70, 110, 20, 0, 2], [0, 2, 50, 1, 244, 112, 280, 70, 124, 6, 6, 1], [0, 2, 50, 2, 237, 133, 245, 105, 103, 13, 5, 1], [0, 2, 50, 3, 230, 154, 210, 140, 82, 20, 4, 1], [0, 2, 50, 4, 223, 175, 175, 175, 61, 27, 3, 1], [0, 2, 50, 4, 224, 168, 196, 140, 96, 6, 10, 0], [0, 2, 50, 5, 216, 196, 140, 210, 40, 34, 2, 1], [0, 2, 50, 5, 217, 189, 161, 175, 75, 13, 9, 0], [0, 2, 50, 6, 209, 217, 105, 245, 19, 41, 1, 1], [0, 2, 50, 6, 210, 210, 126, 210, 54, 20, 8, 0], [0, 2, 50, 7, 203, 231, 91, 245, 33, 27, 7, 0], [0, 2, 50, 8, 196, 252, 56, 280, 12, 34, 6, 0], [0, 2, 51, 0, 223, 203, 105, 259, 5, 47, 0, 1], [0, 2, 51, 0, 224, 196, 126, 224, 40, 26, 7, 0], [0, 2, 51, 1, 217, 217, 91, 259, 19, 33, 6, 0], [0, 3, 31, 98, 11, 413, 77, 119, 137, 4, 0, 3], [0, 3, 32, 91, 32, 378, 112, 98, 144, 3, 0, 3], [0, 3, 32, 94, 12, 434, 28, 168, 116, 3, 4, 2], [0, 3, 33, 84, 53, 343, 147, 77, 151, 2, 0, 3], [0, 3, 33, 87, 33, 399, 63, 147, 123, 2, 4, 2], [0, 3, 33, 88, 26, 420, 28, 182, 102, 9, 3, 2], [0, 3, 34, 77, 74, 308, 182, 56, 158, 1, 0, 3], [0, 3, 34, 80, 54, 364, 98, 126, 130, 1, 4, 2], [0, 3, 34, 81, 47, 385, 63, 161, 109, 8, 3, 2], [0, 3, 34, 82, 40, 406, 28, 196, 88, 15, 2, 2], [0, 3, 34, 83, 34, 420, 14, 196, 102, 1, 8, 1], [0, 3, 35, 70, 95, 273, 217, 35, 165, 0, 0, 3], [0, 3, 35, 73, 75, 329, 133, 105, 137, 0, 4, 2], [0, 3, 35, 74, 68, 350, 98, 140, 116, 7, 3, 2], [0, 3, 35, 75, 61, 371, 63, 175, 95, 14, 2, 2], [0, 3, 35, 76, 54, 392, 28, 210, 74, 21, 1, 2], [0, 3, 35, 76, 55, 385, 49, 175, 109, 0, 8, 1], [0, 3, 35, 77, 48, 406, 14, 210, 88, 7, 7, 1], [0, 3, 36, 67, 89, 315, 133, 119, 123, 6, 3, 2], [0, 3, 36, 68, 82, 336, 98, 154, 102, 13, 2, 2], [0, 3, 36, 69, 75, 357, 63, 189, 81, 20, 1, 2], [0, 3, 36, 70, 68, 378, 28, 224, 60, 27, 0, 2], [0, 3, 36, 70, 69, 371, 49, 189, 95, 6, 7, 1], [0, 3, 36, 71, 62, 392, 14, 224, 74, 13, 6, 1], [0, 3, 37, 60, 110, 280, 168, 98, 130, 5, 3, 2], [0, 3, 37, 61, 103, 301, 133, 133, 109, 12, 2, 2], [0, 3, 37, 62, 96, 322, 98, 168, 88, 19, 1, 2], [0, 3, 37, 63, 89, 343, 63, 203, 67, 26, 0, 2], [0, 3, 37, 63, 90, 336, 84, 168, 102, 5, 7, 1], [0, 3, 37, 64, 83, 357, 49, 203, 81, 12, 6, 1], [0, 3, 37, 65, 76, 378, 14, 238, 60, 19, 5, 1], [0, 3, 37, 66, 70, 392, 0, 238, 74, 5, 11, 0], [0, 3, 38, 53, 131, 245, 203, 77, 137, 4, 3, 2], [0, 3, 38, 54, 124, 266, 168, 112, 116, 11, 2, 2], [0, 3, 38, 55, 117, 287, 133, 147, 95, 18, 1, 2], [0, 3, 38, 56, 110, 308, 98, 182, 74, 25, 0, 2], [0, 3, 38, 56, 111, 301, 119, 147, 109, 4, 7, 1], [0, 3, 38, 57, 104, 322, 84, 182, 88, 11, 6, 1], [0, 3, 38, 58, 97, 343, 49, 217, 67, 18, 5, 1], [0, 3, 38, 59, 90, 364, 14, 252, 46, 25, 4, 1], [0, 3, 38, 59, 91, 357, 35, 217, 81, 4, 11, 0], [0, 3, 38, 60, 84, 378, 0, 252, 60, 11, 10, 0], [0, 3, 39, 46, 152, 210, 238, 56, 144, 3, 3, 2], [0, 3, 39, 47, 145, 231, 203, 91, 123, 10, 2, 2], [0, 3, 39, 48, 138, 252, 168, 126, 102, 17, 1, 2], [0, 3, 39, 49, 131, 273, 133, 161, 81, 24, 0, 2], [0, 3, 39, 49, 132, 266, 154, 126, 116, 3, 7, 1], [0, 3, 39, 50, 125, 287, 119, 161, 95, 10, 6, 1], [0, 3, 39, 51, 118, 308, 84, 196, 74, 17, 5, 1], [0, 3, 39, 52, 111, 329, 49, 231, 53, 24, 4, 1], [0, 3, 39, 52, 112, 322, 70, 196, 88, 3, 11, 0], [0, 3, 39, 53, 104, 350, 14, 266, 32, 31, 3, 1], [0, 3, 39, 53, 105, 343, 35, 231, 67, 10, 10, 0], [0, 3, 39, 54, 98, 364, 0, 266, 46, 17, 9, 0], [0, 3, 40, 39, 173, 175, 273, 35, 151, 2, 3, 2], [0, 3, 40, 40, 166, 196, 238, 70, 130, 9, 2, 2], [0, 3, 40, 41, 159, 217, 203, 105, 109, 16, 1, 2], [0, 3, 40, 42, 152, 238, 168, 140, 88, 23, 0, 2], [0, 3, 40, 42, 153, 231, 189, 105, 123, 2, 7, 1], [0, 3, 40, 43, 146, 252, 154, 140, 102, 9, 6, 1], [0, 3, 40, 44, 139, 273, 119, 175, 81, 16, 5, 1], [0, 3, 40, 45, 132, 294, 84, 210, 60, 23, 4, 1], [0, 3, 40, 45, 133, 287, 105, 175, 95, 2, 11, 0], [0, 3, 40, 46, 125, 315, 49, 245, 39, 30, 3, 1], [0, 3, 40, 46, 126, 308, 70, 210, 74, 9, 10, 0], [0, 3, 40, 47, 118, 336, 14, 280, 18, 37, 2, 1], [0, 3, 40, 47, 119, 329, 35, 245, 53, 16, 9, 0], [0, 3, 40, 48, 112, 350, 0, 280, 32, 23, 8, 0], [0, 3, 41, 32, 194, 140, 308, 14, 158, 1, 3, 2], [0, 3, 41, 33, 187, 161, 273, 49, 137, 8, 2, 2], [0, 3, 41, 34, 180, 182, 238, 84, 116, 15, 1, 2], [0, 3, 41, 35, 173, 203, 203, 119, 95, 22, 0, 2], [0, 3, 41, 35, 174, 196, 224, 84, 130, 1, 7, 1], [0, 3, 41, 36, 167, 217, 189, 119, 109, 8, 6, 1], [0, 3, 41, 37, 160, 238, 154, 154, 88, 15, 5, 1], [0, 3, 41, 38, 153, 259, 119, 189, 67, 22, 4, 1], [0, 3, 41, 38, 154, 252, 140, 154, 102, 1, 11, 0], [0, 3, 41, 39, 146, 280, 84, 224, 46, 29, 3, 1], [0, 3, 41, 39, 147, 273, 105, 189, 81, 8, 10, 0], [0, 3, 41, 40, 139, 301, 49, 259, 25, 36, 2, 1], [0, 3, 41, 40, 140, 294, 70, 224, 60, 15, 9, 0], [0, 3, 41, 41, 132, 322, 14, 294, 4, 43, 1, 1], [0, 3, 41, 41, 133, 315, 35, 259, 39, 22, 8, 0], [0, 3, 41, 42, 126, 336, 0, 294, 18, 29, 7, 0], [0, 3, 42, 26, 208, 126, 308, 28, 144, 7, 2, 2], [0, 3, 42, 27, 201, 147, 273, 63, 123, 14, 1, 2], [0, 3, 42, 28, 194, 168, 238, 98, 102, 21, 0, 2], [0, 3, 42, 28, 195, 161, 259, 63, 137, 0, 7, 1], [0, 3, 42, 29, 188, 182, 224, 98, 116, 7, 6, 1], [0, 3, 42, 30, 181, 203, 189, 133, 95, 14, 5, 1], [0, 3, 42, 31, 174, 224, 154, 168, 74, 21, 4, 1], [0, 3, 42, 31, 175, 217, 175, 133, 109, 0, 11, 0], [0, 3, 42, 32, 167, 245, 119, 203, 53, 28, 3, 1], [0, 3, 42, 32, 168, 238, 140, 168, 88, 7, 10, 0], [0, 3, 42, 33, 160, 266, 84, 238, 32, 35, 2, 1], [0, 3, 42, 33, 161, 259, 105, 203, 67, 14, 9, 0], [0, 3, 42, 34, 153, 287, 49, 273, 11, 42, 1, 1], [0, 3, 42, 34, 154, 280, 70, 238, 46, 21, 8, 0], [0, 3, 42, 35, 147, 301, 35, 273, 25, 28, 7, 0], [0, 3, 42, 36, 140, 322, 0, 308, 4, 35, 6, 0], [0, 3, 43, 19, 229, 91, 343, 7, 151, 6, 2, 2], [0, 3, 43, 20, 222, 112, 308, 42, 130, 13, 1, 2], [0, 3, 43, 21, 215, 133, 273, 77, 109, 20, 0, 2], [0, 3, 43, 22, 209, 147, 259, 77, 123, 6, 6, 1], [0, 3, 43, 23, 202, 168, 224, 112, 102, 13, 5, 1], [0, 3, 43, 24, 195, 189, 189, 147, 81, 20, 4, 1], [0, 3, 43, 25, 188, 210, 154, 182, 60, 27, 3, 1], [0, 3, 43, 25, 189, 203, 175, 147, 95, 6, 10, 0], [0, 3, 43, 26, 181, 231, 119, 217, 39, 34, 2, 1], [0, 3, 43, 26, 182, 224, 140, 182, 74, 13, 9, 0], [0, 3, 43, 27, 174, 252, 84, 252, 18, 41, 1, 1], [0, 3, 43, 27, 175, 245, 105, 217, 53, 20, 8, 0], [0, 3, 43, 28, 168, 266, 70, 252, 32, 27, 7, 0], [0, 3, 43, 29, 161, 287, 35, 287, 11, 34, 6, 0], [0, 3, 44, 13, 243, 77, 343, 21, 137, 12, 1, 2], [0, 3, 44, 14, 236, 98, 308, 56, 116, 19, 0, 2], [0, 3, 44, 15, 230, 112, 294, 56, 130, 5, 6, 1], [0, 3, 44, 16, 223, 133, 259, 91, 109, 12, 5, 1], [0, 3, 44, 17, 216, 154, 224, 126, 88, 19, 4, 1], [0, 3, 44, 18, 209, 175, 189, 161, 67, 26, 3, 1], [0, 3, 44, 18, 210, 168, 210, 126, 102, 5, 10, 0], [0, 3, 44, 19, 202, 196, 154, 196, 46, 33, 2, 1], [0, 3, 44, 19, 203, 189, 175, 161, 81, 12, 9, 0], [0, 3, 44, 20, 195, 217, 119, 231, 25, 40, 1, 1], [0, 3, 44, 20, 196, 210, 140, 196, 60, 19, 8, 0], [0, 3, 44, 21, 188, 238, 84, 266, 4, 47, 0, 1], [0, 3, 44, 21, 189, 231, 105, 231, 39, 26, 7, 0], [0, 3, 44, 22, 182, 252, 70, 266, 18, 33, 6, 0], [0, 3, 45, 6, 264, 42, 378, 0, 144, 11, 1, 2], [0, 3, 45, 7, 257, 63, 343, 35, 123, 18, 0, 2], [0, 3, 45, 8, 251, 77, 329, 35, 137, 4, 6, 1], [0, 3, 45, 9, 244, 98, 294, 70, 116, 11, 5, 1], [0, 3, 45, 10, 237, 119, 259, 105, 95, 18, 4, 1], [0, 3, 45, 11, 230, 140, 224, 140, 74, 25, 3, 1], [0, 3, 45, 11, 231, 133, 245, 105, 109, 4, 10, 0], [0, 3, 45, 12, 223, 161, 189, 175, 53, 32, 2, 1], [0, 3, 45, 12, 224, 154, 210, 140, 88, 11, 9, 0], [0, 3, 45, 13, 216, 182, 154, 210, 32, 39, 1, 1], [0, 3, 45, 13, 217, 175, 175, 175, 67, 18, 8, 0], [0, 3, 45, 14, 209, 203, 119, 245, 11, 46, 0, 1], [0, 3, 45, 14, 210, 196, 140, 210, 46, 25, 7, 0], [0, 3, 45, 15, 203, 217, 105, 245, 25, 32, 6, 0], [0, 3, 45, 16, 196, 238, 70, 280, 4, 39, 5, 0], [0, 3, 46, 0, 278, 28, 378, 14, 130, 17, 0, 2], [0, 3, 46, 1, 272, 42, 364, 14, 144, 3, 6, 1], [0, 3, 46, 2, 265, 63, 329, 49, 123, 10, 5, 1], [0, 3, 46, 3, 258, 84, 294, 84, 102, 17, 4, 1], [0, 3, 46, 4, 251, 105, 259, 119, 81, 24, 3, 1], [0, 3, 46, 4, 252, 98, 280, 84, 116, 3, 10, 0], [0, 3, 46, 5, 244, 126, 224, 154, 60, 31, 2, 1], [0, 3, 46, 5, 245, 119, 245, 119, 95, 10, 9, 0], [0, 3, 46, 6, 237, 147, 189, 189, 39, 38, 1, 1], [0, 3, 46, 6, 238, 140, 210, 154, 74, 17, 8, 0], [0, 3, 46, 7, 230, 168, 154, 224, 18, 45, 0, 1], [0, 3, 46, 7, 231, 161, 175, 189, 53, 24, 7, 0], [0, 3, 46, 8, 224, 182, 140, 224, 32, 31, 6, 0], [0, 3, 46, 9, 217, 203, 105, 259, 11, 38, 5, 0], [0, 3, 47, 0, 251, 133, 189, 203, 25, 44, 0, 1], [0, 3, 47, 0, 252, 126, 210, 168, 60, 23, 7, 0], [0, 3, 47, 1, 245, 147, 175, 203, 39, 30, 6, 0], [0, 3, 47, 2, 238, 168, 140, 238, 18, 37, 5, 0], [0, 4, 26, 105, 18, 378, 126, 84, 150, 2, 0, 3], [0, 4, 27, 98, 39, 343, 161, 63, 157, 1, 0, 3], [0, 4, 27, 101, 19, 399, 77, 133, 129, 1, 4, 2], [0, 4, 27, 102, 12, 420, 42, 168, 108, 8, 3, 2], [0, 4, 27, 103, 5, 441, 7, 203, 87, 15, 2, 2], [0, 4, 28, 91, 60, 308, 196, 42, 164, 0, 0, 3], [0, 4, 28, 94, 40, 364, 112, 112, 136, 0, 4, 2], [0, 4, 28, 95, 33, 385, 77, 147, 115, 7, 3, 2], [0, 4, 28, 96, 26, 406, 42, 182, 94, 14, 2, 2], [0, 4, 28, 97, 19, 427, 7, 217, 73, 21, 1, 2], [0, 4, 28, 97, 20, 420, 28, 182, 108, 0, 8, 1], [0, 4, 29, 88, 54, 350, 112, 126, 122, 6, 3, 2], [0, 4, 29, 89, 47, 371, 77, 161, 101, 13, 2, 2], [0, 4, 29, 90, 40, 392, 42, 196, 80, 20, 1, 2], [0, 4, 29, 91, 33, 413, 7, 231, 59, 27, 0, 2], [0, 4, 29, 91, 34, 406, 28, 196, 94, 6, 7, 1], [0, 4, 30, 81, 75, 315, 147, 105, 129, 5, 3, 2], [0, 4, 30, 82, 68, 336, 112, 140, 108, 12, 2, 2], [0, 4, 30, 83, 61, 357, 77, 175, 87, 19, 1, 2], [0, 4, 30, 84, 54, 378, 42, 210, 66, 26, 0, 2], [0, 4, 30, 84, 55, 371, 63, 175, 101, 5, 7, 1], [0, 4, 30, 85, 48, 392, 28, 210, 80, 12, 6, 1], [0, 4, 31, 74, 96, 280, 182, 84, 136, 4, 3, 2], [0, 4, 31, 75, 89, 301, 147, 119, 115, 11, 2, 2], [0, 4, 31, 76, 82, 322, 112, 154, 94, 18, 1, 2], [0, 4, 31, 77, 75, 343, 77, 189, 73, 25, 0, 2], [0, 4, 31, 77, 76, 336, 98, 154, 108, 4, 7, 1], [0, 4, 31, 78, 69, 357, 63, 189, 87, 11, 6, 1], [0, 4, 31, 79, 62, 378, 28, 224, 66, 18, 5, 1], [0, 4, 31, 80, 56, 392, 14, 224, 80, 4, 11, 0], [0, 4, 32, 67, 117, 245, 217, 63, 143, 3, 3, 2], [0, 4, 32, 68, 110, 266, 182, 98, 122, 10, 2, 2], [0, 4, 32, 69, 103, 287, 147, 133, 101, 17, 1, 2], [0, 4, 32, 70, 96, 308, 112, 168, 80, 24, 0, 2], [0, 4, 32, 70, 97, 301, 133, 133, 115, 3, 7, 1], [0, 4, 32, 71, 90, 322, 98, 168, 94, 10, 6, 1], [0, 4, 32, 72, 83, 343, 63, 203, 73, 17, 5, 1], [0, 4, 32, 73, 76, 364, 28, 238, 52, 24, 4, 1], [0, 4, 32, 73, 77, 357, 49, 203, 87, 3, 11, 0], [0, 4, 32, 74, 70, 378, 14, 238, 66, 10, 10, 0], [0, 4, 33, 60, 138, 210, 252, 42, 150, 2, 3, 2], [0, 4, 33, 61, 131, 231, 217, 77, 129, 9, 2, 2], [0, 4, 33, 62, 124, 252, 182, 112, 108, 16, 1, 2], [0, 4, 33, 63, 117, 273, 147, 147, 87, 23, 0, 2], [0, 4, 33, 63, 118, 266, 168, 112, 122, 2, 7, 1], [0, 4, 33, 64, 111, 287, 133, 147, 101, 9, 6, 1], [0, 4, 33, 65, 104, 308, 98, 182, 80, 16, 5, 1], [0, 4, 33, 66, 97, 329, 63, 217, 59, 23, 4, 1], [0, 4, 33, 66, 98, 322, 84, 182, 94, 2, 11, 0], [0, 4, 33, 67, 90, 350, 28, 252, 38, 30, 3, 1], [0, 4, 33, 67, 91, 343, 49, 217, 73, 9, 10, 0], [0, 4, 33, 68, 84, 364, 14, 252, 52, 16, 9, 0], [0, 4, 34, 53, 159, 175, 287, 21, 157, 1, 3, 2], [0, 4, 34, 54, 152, 196, 252, 56, 136, 8, 2, 2], [0, 4, 34, 55, 145, 217, 217, 91, 115, 15, 1, 2], [0, 4, 34, 56, 138, 238, 182, 126, 94, 22, 0, 2], [0, 4, 34, 56, 139, 231, 203, 91, 129, 1, 7, 1], [0, 4, 34, 57, 132, 252, 168, 126, 108, 8, 6, 1], [0, 4, 34, 58, 125, 273, 133, 161, 87, 15, 5, 1], [0, 4, 34, 59, 118, 294, 98, 196, 66, 22, 4, 1], [0, 4, 34, 59, 119, 287, 119, 161, 101, 1, 11, 0], [0, 4, 34, 60, 111, 315, 63, 231, 45, 29, 3, 1], [0, 4, 34, 60, 112, 308, 84, 196, 80, 8, 10, 0], [0, 4, 34, 61, 104, 336, 28, 266, 24, 36, 2, 1], [0, 4, 34, 61, 105, 329, 49, 231, 59, 15, 9, 0], [0, 4, 34, 62, 98, 350, 14, 266, 38, 22, 8, 0], [0, 4, 35, 46, 180, 140, 322, 0, 164, 0, 3, 2], [0, 4, 35, 47, 173, 161, 287, 35, 143, 7, 2, 2], [0, 4, 35, 48, 166, 182, 252, 70, 122, 14, 1, 2], [0, 4, 35, 49, 159, 203, 217, 105, 101, 21, 0, 2], [0, 4, 35, 49, 160, 196, 238, 70, 136, 0, 7, 1], [0, 4, 35, 50, 153, 217, 203, 105, 115, 7, 6, 1], [0, 4, 35, 51, 146, 238, 168, 140, 94, 14, 5, 1], [0, 4, 35, 52, 139, 259, 133, 175, 73, 21, 4, 1], [0, 4, 35, 52, 140, 252, 154, 140, 108, 0, 11, 0], [0, 4, 35, 53, 132, 280, 98, 210, 52, 28, 3, 1], [0, 4, 35, 53, 133, 273, 119, 175, 87, 7, 10, 0], [0, 4, 35, 54, 125, 301, 63, 245, 31, 35, 2, 1], [0, 4, 35, 54, 126, 294, 84, 210, 66, 14, 9, 0], [0, 4, 35, 55, 118, 322, 28, 280, 10, 42, 1, 1], [0, 4, 35, 55, 119, 315, 49, 245, 45, 21, 8, 0], [0, 4, 35, 56, 112, 336, 14, 280, 24, 28, 7, 0], [0, 4, 36, 40, 194, 126, 322, 14, 150, 6, 2, 2], [0, 4, 36, 41, 187, 147, 287, 49, 129, 13, 1, 2], [0, 4, 36, 42, 180, 168, 252, 84, 108, 20, 0, 2], [0, 4, 36, 43, 174, 182, 238, 84, 122, 6, 6, 1], [0, 4, 36, 44, 167, 203, 203, 119, 101, 13, 5, 1], [0, 4, 36, 45, 160, 224, 168, 154, 80, 20, 4, 1], [0, 4, 36, 46, 153, 245, 133, 189, 59, 27, 3, 1], [0, 4, 36, 46, 154, 238, 154, 154, 94, 6, 10, 0], [0, 4, 36, 47, 146, 266, 98, 224, 38, 34, 2, 1], [0, 4, 36, 47, 147, 259, 119, 189, 73, 13, 9, 0], [0, 4, 36, 48, 139, 287, 63, 259, 17, 41, 1, 1], [0, 4, 36, 48, 140, 280, 84, 224, 52, 20, 8, 0], [0, 4, 36, 49, 133, 301, 49, 259, 31, 27, 7, 0], [0, 4, 36, 50, 126, 322, 14, 294, 10, 34, 6, 0], [0, 4, 37, 34, 208, 112, 322, 28, 136, 12, 1, 2], [0, 4, 37, 35, 201, 133, 287, 63, 115, 19, 0, 2], [0, 4, 37, 36, 195, 147, 273, 63, 129, 5, 6, 1], [0, 4, 37, 37, 188, 168, 238, 98, 108, 12, 5, 1], [0, 4, 37, 38, 181, 189, 203, 133, 87, 19, 4, 1], [0, 4, 37, 39, 174, 210, 168, 168, 66, 26, 3, 1], [0, 4, 37, 39, 175, 203, 189, 133, 101, 5, 10, 0], [0, 4, 37, 40, 167, 231, 133, 203, 45, 33, 2, 1], [0, 4, 37, 40, 168, 224, 154, 168, 80, 12, 9, 0], [0, 4, 37, 41, 160, 252, 98, 238, 24, 40, 1, 1], [0, 4, 37, 41, 161, 245, 119, 203, 59, 19, 8, 0], [0, 4, 37, 42, 153, 273, 63, 273, 3, 47, 0, 1], [0, 4, 37, 42, 154, 266, 84, 238, 38, 26, 7, 0], [0, 4, 37, 43, 147, 287, 49, 273, 17, 33, 6, 0], [0, 4, 38, 27, 229, 77, 357, 7, 143, 11, 1, 2], [0, 4, 38, 28, 222, 98, 322, 42, 122, 18, 0, 2], [0, 4, 38, 29, 216, 112, 308, 42, 136, 4, 6, 1], [0, 4, 38, 30, 209, 133, 273, 77, 115, 11, 5, 1], [0, 4, 38, 31, 202, 154, 238, 112, 94, 18, 4, 1], [0, 4, 38, 32, 195, 175, 203, 147, 73, 25, 3, 1], [0, 4, 38, 32, 196, 168, 224, 112, 108, 4, 10, 0], [0, 4, 38, 33, 188, 196, 168, 182, 52, 32, 2, 1], [0, 4, 38, 33, 189, 189, 189, 147, 87, 11, 9, 0], [0, 4, 38, 34, 181, 217, 133, 217, 31, 39, 1, 1], [0, 4, 38, 34, 182, 210, 154, 182, 66, 18, 8, 0], [0, 4, 38, 35, 174, 238, 98, 252, 10, 46, 0, 1], [0, 4, 38, 35, 175, 231, 119, 217, 45, 25, 7, 0], [0, 4, 38, 36, 168, 252, 84, 252, 24, 32, 6, 0], [0, 4, 38, 37, 161, 273, 49, 287, 3, 39, 5, 0], [0, 4, 39, 21, 243, 63, 357, 21, 129, 17, 0, 2], [0, 4, 39, 22, 237, 77, 343, 21, 143, 3, 6, 1], [0, 4, 39, 23, 230, 98, 308, 56, 122, 10, 5, 1], [0, 4, 39, 24, 223, 119, 273, 91, 101, 17, 4, 1], [0, 4, 39, 25, 216, 140, 238, 126, 80, 24, 3, 1], [0, 4, 39, 25, 217, 133, 259, 91, 115, 3, 10, 0], [0, 4, 39, 26, 209, 161, 203, 161, 59, 31, 2, 1], [0, 4, 39, 26, 210, 154, 224, 126, 94, 10, 9, 0], [0, 4, 39, 27, 202, 182, 168, 196, 38, 38, 1, 1], [0, 4, 39, 27, 203, 175, 189, 161, 73, 17, 8, 0], [0, 4, 39, 28, 195, 203, 133, 231, 17, 45, 0, 1], [0, 4, 39, 28, 196, 196, 154, 196, 52, 24, 7, 0], [0, 4, 39, 29, 189, 217, 119, 231, 31, 31, 6, 0], [0, 4, 39, 30, 182, 238, 84, 266, 10, 38, 5, 0], [0, 4, 40, 14, 264, 28, 392, 0, 136, 16, 0, 2], [0, 4, 40, 15, 258, 42, 378, 0, 150, 2, 6, 1], [0, 4, 40, 16, 251, 63, 343, 35, 129, 9, 5, 1], [0, 4, 40, 17, 244, 84, 308, 70, 108, 16, 4, 1], [0, 4, 40, 18, 237, 105, 273, 105, 87, 23, 3, 1], [0, 4, 40, 18, 238, 98, 294, 70, 122, 2, 10, 0], [0, 4, 40, 19, 230, 126, 238, 140, 66, 30, 2, 1], [0, 4, 40, 19, 231, 119, 259, 105, 101, 9, 9, 0], [0, 4, 40, 20, 223, 147, 203, 175, 45, 37, 1, 1], [0, 4, 40, 20, 224, 140, 224, 140, 80, 16, 8, 0], [0, 4, 40, 21, 216, 168, 168, 210, 24, 44, 0, 1], [0, 4, 40, 21, 217, 161, 189, 175, 59, 23, 7, 0], [0, 4, 40, 22, 210, 182, 154, 210, 38, 30, 6, 0], [0, 4, 40, 23, 203, 203, 119, 245, 17, 37, 5, 0], [0, 4, 41, 9, 272, 28, 378, 14, 136, 8, 5, 1], [0, 4, 41, 10, 265, 49, 343, 49, 115, 15, 4, 1], [0, 4, 41, 11, 258, 70, 308, 84, 94, 22, 3, 1], [0, 4, 41, 11, 259, 63, 329, 49, 129, 1, 10, 0], [0, 4, 41, 12, 251, 91, 273, 119, 73, 29, 2, 1], [0, 4, 41, 12, 252, 84, 294, 84, 108, 8, 9, 0], [0, 4, 41, 13, 244, 112, 238, 154, 52, 36, 1, 1], [0, 4, 41, 13, 245, 105, 259, 119, 87, 15, 8, 0], [0, 4, 41, 14, 237, 133, 203, 189, 31, 43, 0, 1], [0, 4, 41, 14, 238, 126, 224, 154, 66, 22, 7, 0], [0, 4, 41, 15, 231, 147, 189, 189, 45, 29, 6, 0], [0, 4, 41, 16, 224, 168, 154, 224, 24, 36, 5, 0], [0, 4, 41, 17, 217, 189, 119, 259, 3, 43, 4, 0], [0, 4, 42, 3, 286, 14, 378, 28, 122, 14, 4, 1], [0, 4, 42, 4, 279, 35, 343, 63, 101, 21, 3, 1], [0, 4, 42, 4, 280, 28, 364, 28, 136, 0, 10, 0], [0, 4, 42, 5, 272, 56, 308, 98, 80, 28, 2, 1], [0, 4, 42, 5, 273, 49, 329, 63, 115, 7, 9, 0], [0, 4, 42, 6, 265, 77, 273, 133, 59, 35, 1, 1], [0, 4, 42, 6, 266, 70, 294, 98, 94, 14, 8, 0], [0, 4, 42, 7, 258, 98, 238, 168, 38, 42, 0, 1], [0, 4, 42, 7, 259, 91, 259, 133, 73, 21, 7, 0], [0, 4, 42, 8, 252, 112, 224, 168, 52, 28, 6, 0], [0, 4, 42, 9, 245, 133, 189, 203, 31, 35, 5, 0], [0, 4, 42, 10, 238, 154, 154, 238, 10, 42, 4, 0], [0, 4, 43, 0, 279, 63, 273, 147, 45, 41, 0, 1], [0, 4, 43, 0, 280, 56, 294, 112, 80, 20, 7, 0], [0, 4, 43, 1, 273, 77, 259, 147, 59, 27, 6, 0], [0, 4, 43, 2, 266, 98, 224, 182, 38, 34, 5, 0], [0, 4, 43, 3, 259, 119, 189, 217, 17, 41, 4, 0], [0, 5, 20, 119, 4, 378, 140, 70, 156, 1, 0, 3], [0, 5, 21, 112, 25, 343, 175, 49, 163, 0, 0, 3], [0, 5, 21, 115, 5, 399, 91, 119, 135, 0, 4, 2], [0, 5, 22, 109, 19, 385, 91, 133, 121, 6, 3, 2], [0, 5, 22, 110, 12, 406, 56, 168, 100, 13, 2, 2], [0, 5, 22, 111, 5, 427, 21, 203, 79, 20, 1, 2], [0, 5, 23, 102, 40, 350, 126, 112, 128, 5, 3, 2], [0, 5, 23, 103, 33, 371, 91, 147, 107, 12, 2, 2], [0, 5, 23, 104, 26, 392, 56, 182, 86, 19, 1, 2], [0, 5, 23, 105, 19, 413, 21, 217, 65, 26, 0, 2], [0, 5, 23, 105, 20, 406, 42, 182, 100, 5, 7, 1], [0, 5, 23, 106, 13, 427, 7, 217, 79, 12, 6, 1], [0, 5, 24, 95, 61, 315, 161, 91, 135, 4, 3, 2], [0, 5, 24, 96, 54, 336, 126, 126, 114, 11, 2, 2], [0, 5, 24, 97, 47, 357, 91, 161, 93, 18, 1, 2], [0, 5, 24, 98, 40, 378, 56, 196, 72, 25, 0, 2], [0, 5, 24, 98, 41, 371, 77, 161, 107, 4, 7, 1], [0, 5, 24, 99, 34, 392, 42, 196, 86, 11, 6, 1], [0, 5, 24, 100, 27, 413, 7, 231, 65, 18, 5, 1], [0, 5, 25, 88, 82, 280, 196, 70, 142, 3, 3, 2], [0, 5, 25, 89, 75, 301, 161, 105, 121, 10, 2, 2], [0, 5, 25, 90, 68, 322, 126, 140, 100, 17, 1, 2], [0, 5, 25, 91, 61, 343, 91, 175, 79, 24, 0, 2], [0, 5, 25, 91, 62, 336, 112, 140, 114, 3, 7, 1], [0, 5, 25, 92, 55, 357, 77, 175, 93, 10, 6, 1], [0, 5, 25, 93, 48, 378, 42, 210, 72, 17, 5, 1], [0, 5, 25, 94, 41, 399, 7, 245, 51, 24, 4, 1], [0, 5, 25, 94, 42, 392, 28, 210, 86, 3, 11, 0], [0, 5, 26, 81, 103, 245, 231, 49, 149, 2, 3, 2], [0, 5, 26, 82, 96, 266, 196, 84, 128, 9, 2, 2], [0, 5, 26, 83, 89, 287, 161, 119, 107, 16, 1, 2], [0, 5, 26, 84, 82, 308, 126, 154, 86, 23, 0, 2], [0, 5, 26, 84, 83, 301, 147, 119, 121, 2, 7, 1], [0, 5, 26, 85, 76, 322, 112, 154, 100, 9, 6, 1], [0, 5, 26, 86, 69, 343, 77, 189, 79, 16, 5, 1], [0, 5, 26, 87, 62, 364, 42, 224, 58, 23, 4, 1], [0, 5, 26, 87, 63, 357, 63, 189, 93, 2, 11, 0], [0, 5, 26, 88, 55, 385, 7, 259, 37, 30, 3, 1], [0, 5, 26, 88, 56, 378, 28, 224, 72, 9, 10, 0], [0, 5, 27, 74, 124, 210, 266, 28, 156, 1, 3, 2], [0, 5, 27, 75, 117, 231, 231, 63, 135, 8, 2, 2], [0, 5, 27, 76, 110, 252, 196, 98, 114, 15, 1, 2], [0, 5, 27, 77, 103, 273, 161, 133, 93, 22, 0, 2], [0, 5, 27, 77, 104, 266, 182, 98, 128, 1, 7, 1], [0, 5, 27, 78, 97, 287, 147, 133, 107, 8, 6, 1], [0, 5, 27, 79, 90, 308, 112, 168, 86, 15, 5, 1], [0, 5, 27, 80, 83, 329, 77, 203, 65, 22, 4, 1], [0, 5, 27, 80, 84, 322, 98, 168, 100, 1, 11, 0], [0, 5, 27, 81, 76, 350, 42, 238, 44, 29, 3, 1], [0, 5, 27, 81, 77, 343, 63, 203, 79, 8, 10, 0], [0, 5, 27, 82, 69, 371, 7, 273, 23, 36, 2, 1], [0, 5, 27, 82, 70, 364, 28, 238, 58, 15, 9, 0], [0, 5, 28, 67, 145, 175, 301, 7, 163, 0, 3, 2], [0, 5, 28, 68, 138, 196, 266, 42, 142, 7, 2, 2], [0, 5, 28, 69, 131, 217, 231, 77, 121, 14, 1, 2], [0, 5, 28, 70, 124, 238, 196, 112, 100, 21, 0, 2], [0, 5, 28, 70, 125, 231, 217, 77, 135, 0, 7, 1], [0, 5, 28, 71, 118, 252, 182, 112, 114, 7, 6, 1], [0, 5, 28, 72, 111, 273, 147, 147, 93, 14, 5, 1], [0, 5, 28, 73, 104, 294, 112, 182, 72, 21, 4, 1], [0, 5, 28, 73, 105, 287, 133, 147, 107, 0, 11, 0], [0, 5, 28, 74, 97, 315, 77, 217, 51, 28, 3, 1], [0, 5, 28, 74, 98, 308, 98, 182, 86, 7, 10, 0], [0, 5, 28, 75, 90, 336, 42, 252, 30, 35, 2, 1], [0, 5, 28, 75, 91, 329, 63, 217, 65, 14, 9, 0], [0, 5, 28, 76, 83, 357, 7, 287, 9, 42, 1, 1], [0, 5, 28, 76, 84, 350, 28, 252, 44, 21, 8, 0], [0, 5, 29, 61, 159, 161, 301, 21, 149, 6, 2, 2], [0, 5, 29, 62, 152, 182, 266, 56, 128, 13, 1, 2], [0, 5, 29, 63, 145, 203, 231, 91, 107, 20, 0, 2], [0, 5, 29, 64, 139, 217, 217, 91, 121, 6, 6, 1], [0, 5, 29, 65, 132, 238, 182, 126, 100, 13, 5, 1], [0, 5, 29, 66, 125, 259, 147, 161, 79, 20, 4, 1], [0, 5, 29, 67, 118, 280, 112, 196, 58, 27, 3, 1], [0, 5, 29, 67, 119, 273, 133, 161, 93, 6, 10, 0], [0, 5, 29, 68, 111, 301, 77, 231, 37, 34, 2, 1], [0, 5, 29, 68, 112, 294, 98, 196, 72, 13, 9, 0], [0, 5, 29, 69, 104, 322, 42, 266, 16, 41, 1, 1], [0, 5, 29, 69, 105, 315, 63, 231, 51, 20, 8, 0], [0, 5, 29, 70, 98, 336, 28, 266, 30, 27, 7, 0], [0, 5, 30, 54, 180, 126, 336, 0, 156, 5, 2, 2], [0, 5, 30, 55, 173, 147, 301, 35, 135, 12, 1, 2], [0, 5, 30, 56, 166, 168, 266, 70, 114, 19, 0, 2], [0, 5, 30, 57, 160, 182, 252, 70, 128, 5, 6, 1], [0, 5, 30, 58, 153, 203, 217, 105, 107, 12, 5, 1], [0, 5, 30, 59, 146, 224, 182, 140, 86, 19, 4, 1], [0, 5, 30, 60, 139, 245, 147, 175, 65, 26, 3, 1], [0, 5, 30, 60, 140, 238, 168, 140, 100, 5, 10, 0], [0, 5, 30, 61, 132, 266, 112, 210, 44, 33, 2, 1], [0, 5, 30, 61, 133, 259, 133, 175, 79, 12, 9, 0], [0, 5, 30, 62, 125, 287, 77, 245, 23, 40, 1, 1], [0, 5, 30, 62, 126, 280, 98, 210, 58, 19, 8, 0], [0, 5, 30, 63, 118, 308, 42, 280, 2, 47, 0, 1], [0, 5, 30, 63, 119, 301, 63, 245, 37, 26, 7, 0], [0, 5, 30, 64, 112, 322, 28, 280, 16, 33, 6, 0], [0, 5, 31, 48, 194, 112, 336, 14, 142, 11, 1, 2], [0, 5, 31, 49, 187, 133, 301, 49, 121, 18, 0, 2], [0, 5, 31, 50, 181, 147, 287, 49, 135, 4, 6, 1], [0, 5, 31, 51, 174, 168, 252, 84, 114, 11, 5, 1], [0, 5, 31, 52, 167, 189, 217, 119, 93, 18, 4, 1], [0, 5, 31, 53, 160, 210, 182, 154, 72, 25, 3, 1], [0, 5, 31, 53, 161, 203, 203, 119, 107, 4, 10, 0], [0, 5, 31, 54, 153, 231, 147, 189, 51, 32, 2, 1], [0, 5, 31, 54, 154, 224, 168, 154, 86, 11, 9, 0], [0, 5, 31, 55, 146, 252, 112, 224, 30, 39, 1, 1], [0, 5, 31, 55, 147, 245, 133, 189, 65, 18, 8, 0], [0, 5, 31, 56, 139, 273, 77, 259, 9, 46, 0, 1], [0, 5, 31, 56, 140, 266, 98, 224, 44, 25, 7, 0], [0, 5, 31, 57, 133, 287, 63, 259, 23, 32, 6, 0], [0, 5, 31, 58, 126, 308, 28, 294, 2, 39, 5, 0], [0, 5, 32, 42, 208, 98, 336, 28, 128, 17, 0, 2], [0, 5, 32, 43, 202, 112, 322, 28, 142, 3, 6, 1], [0, 5, 32, 44, 195, 133, 287, 63, 121, 10, 5, 1], [0, 5, 32, 45, 188, 154, 252, 98, 100, 17, 4, 1], [0, 5, 32, 46, 181, 175, 217, 133, 79, 24, 3, 1], [0, 5, 32, 46, 182, 168, 238, 98, 114, 3, 10, 0], [0, 5, 32, 47, 174, 196, 182, 168, 58, 31, 2, 1], [0, 5, 32, 47, 175, 189, 203, 133, 93, 10, 9, 0], [0, 5, 32, 48, 167, 217, 147, 203, 37, 38, 1, 1], [0, 5, 32, 48, 168, 210, 168, 168, 72, 17, 8, 0], [0, 5, 32, 49, 160, 238, 112, 238, 16, 45, 0, 1], [0, 5, 32, 49, 161, 231, 133, 203, 51, 24, 7, 0], [0, 5, 32, 50, 154, 252, 98, 238, 30, 31, 6, 0], [0, 5, 32, 51, 147, 273, 63, 273, 9, 38, 5, 0], [0, 5, 33, 35, 229, 63, 371, 7, 135, 16, 0, 2], [0, 5, 33, 36, 223, 77, 357, 7, 149, 2, 6, 1], [0, 5, 33, 37, 216, 98, 322, 42, 128, 9, 5, 1], [0, 5, 33, 38, 209, 119, 287, 77, 107, 16, 4, 1], [0, 5, 33, 39, 202, 140, 252, 112, 86, 23, 3, 1], [0, 5, 33, 39, 203, 133, 273, 77, 121, 2, 10, 0], [0, 5, 33, 40, 195, 161, 217, 147, 65, 30, 2, 1], [0, 5, 33, 40, 196, 154, 238, 112, 100, 9, 9, 0], [0, 5, 33, 41, 188, 182, 182, 182, 44, 37, 1, 1], [0, 5, 33, 41, 189, 175, 203, 147, 79, 16, 8, 0], [0, 5, 33, 42, 181, 203, 147, 217, 23, 44, 0, 1], [0, 5, 33, 42, 182, 196, 168, 182, 58, 23, 7, 0], [0, 5, 33, 43, 175, 217, 133, 217, 37, 30, 6, 0], [0, 5, 33, 44, 168, 238, 98, 252, 16, 37, 5, 0], [0, 5, 34, 30, 237, 63, 357, 21, 135, 8, 5, 1], [0, 5, 34, 31, 230, 84, 322, 56, 114, 15, 4, 1], [0, 5, 34, 32, 223, 105, 287, 91, 93, 22, 3, 1], [0, 5, 34, 32, 224, 98, 308, 56, 128, 1, 10, 0], [0, 5, 34, 33, 216, 126, 252, 126, 72, 29, 2, 1], [0, 5, 34, 33, 217, 119, 273, 91, 107, 8, 9, 0], [0, 5, 34, 34, 209, 147, 217, 161, 51, 36, 1, 1], [0, 5, 34, 34, 210, 140, 238, 126, 86, 15, 8, 0], [0, 5, 34, 35, 202, 168, 182, 196, 30, 43, 0, 1], [0, 5, 34, 35, 203, 161, 203, 161, 65, 22, 7, 0], [0, 5, 34, 36, 196, 182, 168, 196, 44, 29, 6, 0], [0, 5, 34, 37, 189, 203, 133, 231, 23, 36, 5, 0], [0, 5, 34, 38, 182, 224, 98, 266, 2, 43, 4, 0], [0, 5, 35, 23, 258, 28, 392, 0, 142, 7, 5, 1], [0, 5, 35, 24, 251, 49, 357, 35, 121, 14, 4, 1], [0, 5, 35, 25, 244, 70, 322, 70, 100, 21, 3, 1], [0, 5, 35, 25, 245, 63, 343, 35, 135, 0, 10, 0], [0, 5, 35, 26, 237, 91, 287, 105, 79, 28, 2, 1], [0, 5, 35, 26, 238, 84, 308, 70, 114, 7, 9, 0], [0, 5, 35, 27, 230, 112, 252, 140, 58, 35, 1, 1], [0, 5, 35, 27, 231, 105, 273, 105, 93, 14, 8, 0], [0, 5, 35, 28, 223, 133, 217, 175, 37, 42, 0, 1], [0, 5, 35, 28, 224, 126, 238, 140, 72, 21, 7, 0], [0, 5, 35, 29, 217, 147, 203, 175, 51, 28, 6, 0], [0, 5, 35, 30, 210, 168, 168, 210, 30, 35, 5, 0], [0, 5, 35, 31, 203, 189, 133, 245, 9, 42, 4, 0], [0, 5, 36, 17, 272, 14, 392, 14, 128, 13, 4, 1], [0, 5, 36, 18, 265, 35, 357, 49, 107, 20, 3, 1], [0, 5, 36, 19, 258, 56, 322, 84, 86, 27, 2, 1], [0, 5, 36, 19, 259, 49, 343, 49, 121, 6, 9, 0], [0, 5, 36, 20, 251, 77, 287, 119, 65, 34, 1, 1], [0, 5, 36, 20, 252, 70, 308, 84, 100, 13, 8, 0], [0, 5, 36, 21, 244, 98, 252, 154, 44, 41, 0, 1], [0, 5, 36, 21, 245, 91, 273, 119, 79, 20, 7, 0], [0, 5, 36, 22, 238, 112, 238, 154, 58, 27, 6, 0], [0, 5, 36, 23, 231, 133, 203, 189, 37, 34, 5, 0], [0, 5, 36, 24, 224, 154, 168, 224, 16, 41, 4, 0], [0, 5, 37, 11, 286, 0, 392, 28, 114, 19, 3, 1], [0, 5, 37, 12, 279, 21, 357, 63, 93, 26, 2, 1], [0, 5, 37, 12, 280, 14, 378, 28, 128, 5, 9, 0], [0, 5, 37, 13, 272, 42, 322, 98, 72, 33, 1, 1], [0, 5, 37, 13, 273, 35, 343, 63, 107, 12, 8, 0], [0, 5, 37, 14, 265, 63, 287, 133, 51, 40, 0, 1], [0, 5, 37, 14, 266, 56, 308, 98, 86, 19, 7, 0], [0, 5, 37, 15, 259, 77, 273, 133, 65, 26, 6, 0], [0, 5, 37, 16, 252, 98, 238, 168, 44, 33, 5, 0], [0, 5, 37, 17, 245, 119, 203, 203, 23, 40, 4, 0], [0, 5, 37, 18, 238, 140, 168, 238, 2, 47, 3, 0], [0, 5, 38, 6, 293, 7, 357, 77, 79, 32, 1, 1], [0, 5, 38, 6, 294, 0, 378, 42, 114, 11, 8, 0], [0, 5, 38, 7, 286, 28, 322, 112, 58, 39, 0, 1], [0, 5, 38, 7, 287, 21, 343, 77, 93, 18, 7, 0], [0, 5, 38, 8, 280, 42, 308, 112, 72, 25, 6, 0], [0, 5, 38, 9, 273, 63, 273, 147, 51, 32, 5, 0], [0, 5, 38, 10, 266, 84, 238, 182, 30, 39, 4, 0], [0, 5, 38, 11, 259, 105, 203, 217, 9, 46, 3, 0], [0, 5, 39, 1, 301, 7, 343, 91, 79, 24, 6, 0], [0, 5, 39, 2, 294, 28, 308, 126, 58, 31, 5, 0], [0, 5, 39, 3, 287, 49, 273, 161, 37, 38, 4, 0], [0, 5, 39, 4, 280, 70, 238, 196, 16, 45, 3, 0], [0, 6, 16, 123, 5, 385, 105, 119, 127, 5, 3, 2], [0, 6, 17, 116, 26, 350, 140, 98, 134, 4, 3, 2], [0, 6, 17, 117, 19, 371, 105, 133, 113, 11, 2, 2], [0, 6, 17, 118, 12, 392, 70, 168, 92, 18, 1, 2], [0, 6, 17, 119, 5, 413, 35, 203, 71, 25, 0, 2], [0, 6, 17, 119, 6, 406, 56, 168, 106, 4, 7, 1], [0, 6, 18, 109, 47, 315, 175, 77, 141, 3, 3, 2], [0, 6, 18, 110, 40, 336, 140, 112, 120, 10, 2, 2], [0, 6, 18, 111, 33, 357, 105, 147, 99, 17, 1, 2], [0, 6, 18, 112, 26, 378, 70, 182, 78, 24, 0, 2], [0, 6, 18, 112, 27, 371, 91, 147, 113, 3, 7, 1], [0, 6, 18, 113, 20, 392, 56, 182, 92, 10, 6, 1], [0, 6, 18, 114, 13, 413, 21, 217, 71, 17, 5, 1], [0, 6, 18, 115, 7, 427, 7, 217, 85, 3, 11, 0], [0, 6, 19, 102, 68, 280, 210, 56, 148, 2, 3, 2], [0, 6, 19, 103, 61, 301, 175, 91, 127, 9, 2, 2], [0, 6, 19, 104, 54, 322, 140, 126, 106, 16, 1, 2], [0, 6, 19, 105, 47, 343, 105, 161, 85, 23, 0, 2], [0, 6, 19, 105, 48, 336, 126, 126, 120, 2, 7, 1], [0, 6, 19, 106, 41, 357, 91, 161, 99, 9, 6, 1], [0, 6, 19, 107, 34, 378, 56, 196, 78, 16, 5, 1], [0, 6, 19, 108, 27, 399, 21, 231, 57, 23, 4, 1], [0, 6, 19, 108, 28, 392, 42, 196, 92, 2, 11, 0], [0, 6, 19, 109, 21, 413, 7, 231, 71, 9, 10, 0], [0, 6, 20, 95, 89, 245, 245, 35, 155, 1, 3, 2], [0, 6, 20, 96, 82, 266, 210, 70, 134, 8, 2, 2], [0, 6, 20, 97, 75, 287, 175, 105, 113, 15, 1, 2], [0, 6, 20, 98, 68, 308, 140, 140, 92, 22, 0, 2], [0, 6, 20, 98, 69, 301, 161, 105, 127, 1, 7, 1], [0, 6, 20, 99, 62, 322, 126, 140, 106, 8, 6, 1], [0, 6, 20, 100, 55, 343, 91, 175, 85, 15, 5, 1], [0, 6, 20, 101, 48, 364, 56, 210, 64, 22, 4, 1], [0, 6, 20, 101, 49, 357, 77, 175, 99, 1, 11, 0], [0, 6, 20, 102, 41, 385, 21, 245, 43, 29, 3, 1], [0, 6, 20, 102, 42, 378, 42, 210, 78, 8, 10, 0], [0, 6, 20, 103, 35, 399, 7, 245, 57, 15, 9, 0], [0, 6, 21, 88, 110, 210, 280, 14, 162, 0, 3, 2], [0, 6, 21, 89, 103, 231, 245, 49, 141, 7, 2, 2], [0, 6, 21, 90, 96, 252, 210, 84, 120, 14, 1, 2], [0, 6, 21, 91, 89, 273, 175, 119, 99, 21, 0, 2], [0, 6, 21, 91, 90, 266, 196, 84, 134, 0, 7, 1], [0, 6, 21, 92, 83, 287, 161, 119, 113, 7, 6, 1], [0, 6, 21, 93, 76, 308, 126, 154, 92, 14, 5, 1], [0, 6, 21, 94, 69, 329, 91, 189, 71, 21, 4, 1], [0, 6, 21, 94, 70, 322, 112, 154, 106, 0, 11, 0], [0, 6, 21, 95, 62, 350, 56, 224, 50, 28, 3, 1], [0, 6, 21, 95, 63, 343, 77, 189, 85, 7, 10, 0], [0, 6, 21, 96, 55, 371, 21, 259, 29, 35, 2, 1], [0, 6, 21, 96, 56, 364, 42, 224, 64, 14, 9, 0], [0, 6, 21, 97, 49, 385, 7, 259, 43, 21, 8, 0], [0, 6, 22, 82, 124, 196, 280, 28, 148, 6, 2, 2], [0, 6, 22, 83, 117, 217, 245, 63, 127, 13, 1, 2], [0, 6, 22, 84, 110, 238, 210, 98, 106, 20, 0, 2], [0, 6, 22, 85, 104, 252, 196, 98, 120, 6, 6, 1], [0, 6, 22, 86, 97, 273, 161, 133, 99, 13, 5, 1], [0, 6, 22, 87, 90, 294, 126, 168, 78, 20, 4, 1], [0, 6, 22, 88, 83, 315, 91, 203, 57, 27, 3, 1], [0, 6, 22, 88, 84, 308, 112, 168, 92, 6, 10, 0], [0, 6, 22, 89, 76, 336, 56, 238, 36, 34, 2, 1], [0, 6, 22, 89, 77, 329, 77, 203, 71, 13, 9, 0], [0, 6, 22, 90, 69, 357, 21, 273, 15, 41, 1, 1], [0, 6, 22, 90, 70, 350, 42, 238, 50, 20, 8, 0], [0, 6, 22, 91, 63, 371, 7, 273, 29, 27, 7, 0], [0, 6, 23, 75, 145, 161, 315, 7, 155, 5, 2, 2], [0, 6, 23, 76, 138, 182, 280, 42, 134, 12, 1, 2], [0, 6, 23, 77, 131, 203, 245, 77, 113, 19, 0, 2], [0, 6, 23, 78, 125, 217, 231, 77, 127, 5, 6, 1], [0, 6, 23, 79, 118, 238, 196, 112, 106, 12, 5, 1], [0, 6, 23, 80, 111, 259, 161, 147, 85, 19, 4, 1], [0, 6, 23, 81, 104, 280, 126, 182, 64, 26, 3, 1], [0, 6, 23, 81, 105, 273, 147, 147, 99, 5, 10, 0], [0, 6, 23, 82, 97, 301, 91, 217, 43, 33, 2, 1], [0, 6, 23, 82, 98, 294, 112, 182, 78, 12, 9, 0], [0, 6, 23, 83, 90, 322, 56, 252, 22, 40, 1, 1], [0, 6, 23, 83, 91, 315, 77, 217, 57, 19, 8, 0], [0, 6, 23, 84, 83, 343, 21, 287, 1, 47, 0, 1], [0, 6, 23, 84, 84, 336, 42, 252, 36, 26, 7, 0], [0, 6, 23, 85, 77, 357, 7, 287, 15, 33, 6, 0], [0, 6, 24, 69, 159, 147, 315, 21, 141, 11, 1, 2], [0, 6, 24, 70, 152, 168, 280, 56, 120, 18, 0, 2], [0, 6, 24, 71, 146, 182, 266, 56, 134, 4, 6, 1], [0, 6, 24, 72, 139, 203, 231, 91, 113, 11, 5, 1], [0, 6, 24, 73, 132, 224, 196, 126, 92, 18, 4, 1], [0, 6, 24, 74, 125, 245, 161, 161, 71, 25, 3, 1], [0, 6, 24, 74, 126, 238, 182, 126, 106, 4, 10, 0], [0, 6, 24, 75, 118, 266, 126, 196, 50, 32, 2, 1], [0, 6, 24, 75, 119, 259, 147, 161, 85, 11, 9, 0], [0, 6, 24, 76, 111, 287, 91, 231, 29, 39, 1, 1], [0, 6, 24, 76, 112, 280, 112, 196, 64, 18, 8, 0], [0, 6, 24, 77, 104, 308, 56, 266, 8, 46, 0, 1], [0, 6, 24, 77, 105, 301, 77, 231, 43, 25, 7, 0], [0, 6, 24, 78, 98, 322, 42, 266, 22, 32, 6, 0], [0, 6, 24, 79, 91, 343, 7, 301, 1, 39, 5, 0], [0, 6, 25, 62, 180, 112, 350, 0, 148, 10, 1, 2], [0, 6, 25, 63, 173, 133, 315, 35, 127, 17, 0, 2], [0, 6, 25, 64, 167, 147, 301, 35, 141, 3, 6, 1], [0, 6, 25, 65, 160, 168, 266, 70, 120, 10, 5, 1], [0, 6, 25, 66, 153, 189, 231, 105, 99, 17, 4, 1], [0, 6, 25, 67, 146, 210, 196, 140, 78, 24, 3, 1], [0, 6, 25, 67, 147, 203, 217, 105, 113, 3, 10, 0], [0, 6, 25, 68, 139, 231, 161, 175, 57, 31, 2, 1], [0, 6, 25, 68, 140, 224, 182, 140, 92, 10, 9, 0], [0, 6, 25, 69, 132, 252, 126, 210, 36, 38, 1, 1], [0, 6, 25, 69, 133, 245, 147, 175, 71, 17, 8, 0], [0, 6, 25, 70, 125, 273, 91, 245, 15, 45, 0, 1], [0, 6, 25, 70, 126, 266, 112, 210, 50, 24, 7, 0], [0, 6, 25, 71, 119, 287, 77, 245, 29, 31, 6, 0], [0, 6, 25, 72, 112, 308, 42, 280, 8, 38, 5, 0], [0, 6, 26, 56, 194, 98, 350, 14, 134, 16, 0, 2], [0, 6, 26, 57, 188, 112, 336, 14, 148, 2, 6, 1], [0, 6, 26, 58, 181, 133, 301, 49, 127, 9, 5, 1], [0, 6, 26, 59, 174, 154, 266, 84, 106, 16, 4, 1], [0, 6, 26, 60, 167, 175, 231, 119, 85, 23, 3, 1], [0, 6, 26, 60, 168, 168, 252, 84, 120, 2, 10, 0], [0, 6, 26, 61, 160, 196, 196, 154, 64, 30, 2, 1], [0, 6, 26, 61, 161, 189, 217, 119, 99, 9, 9, 0], [0, 6, 26, 62, 153, 217, 161, 189, 43, 37, 1, 1], [0, 6, 26, 62, 154, 210, 182, 154, 78, 16, 8, 0], [0, 6, 26, 63, 146, 238, 126, 224, 22, 44, 0, 1], [0, 6, 26, 63, 147, 231, 147, 189, 57, 23, 7, 0], [0, 6, 26, 64, 140, 252, 112, 224, 36, 30, 6, 0], [0, 6, 26, 65, 133, 273, 77, 259, 15, 37, 5, 0], [0, 6, 27, 51, 202, 98, 336, 28, 134, 8, 5, 1], [0, 6, 27, 52, 195, 119, 301, 63, 113, 15, 4, 1], [0, 6, 27, 53, 188, 140, 266, 98, 92, 22, 3, 1], [0, 6, 27, 53, 189, 133, 287, 63, 127, 1, 10, 0], [0, 6, 27, 54, 181, 161, 231, 133, 71, 29, 2, 1], [0, 6, 27, 54, 182, 154, 252, 98, 106, 8, 9, 0], [0, 6, 27, 55, 174, 182, 196, 168, 50, 36, 1, 1], [0, 6, 27, 55, 175, 175, 217, 133, 85, 15, 8, 0], [0, 6, 27, 56, 167, 203, 161, 203, 29, 43, 0, 1], [0, 6, 27, 56, 168, 196, 182, 168, 64, 22, 7, 0], [0, 6, 27, 57, 161, 217, 147, 203, 43, 29, 6, 0], [0, 6, 27, 58, 154, 238, 112, 238, 22, 36, 5, 0], [0, 6, 27, 59, 147, 259, 77, 273, 1, 43, 4, 0], [0, 6, 28, 44, 223, 63, 371, 7, 141, 7, 5, 1], [0, 6, 28, 45, 216, 84, 336, 42, 120, 14, 4, 1], [0, 6, 28, 46, 209, 105, 301, 77, 99, 21, 3, 1], [0, 6, 28, 46, 210, 98, 322, 42, 134, 0, 10, 0], [0, 6, 28, 47, 202, 126, 266, 112, 78, 28, 2, 1], [0, 6, 28, 47, 203, 119, 287, 77, 113, 7, 9, 0], [0, 6, 28, 48, 195, 147, 231, 147, 57, 35, 1, 1], [0, 6, 28, 48, 196, 140, 252, 112, 92, 14, 8, 0], [0, 6, 28, 49, 188, 168, 196, 182, 36, 42, 0, 1], [0, 6, 28, 49, 189, 161, 217, 147, 71, 21, 7, 0], [0, 6, 28, 50, 182, 182, 182, 182, 50, 28, 6, 0], [0, 6, 28, 51, 175, 203, 147, 217, 29, 35, 5, 0], [0, 6, 28, 52, 168, 224, 112, 252, 8, 42, 4, 0], [0, 6, 29, 38, 237, 49, 371, 21, 127, 13, 4, 1], [0, 6, 29, 39, 230, 70, 336, 56, 106, 20, 3, 1], [0, 6, 29, 40, 223, 91, 301, 91, 85, 27, 2, 1], [0, 6, 29, 40, 224, 84, 322, 56, 120, 6, 9, 0], [0, 6, 29, 41, 216, 112, 266, 126, 64, 34, 1, 1], [0, 6, 29, 41, 217, 105, 287, 91, 99, 13, 8, 0], [0, 6, 29, 42, 209, 133, 231, 161, 43, 41, 0, 1], [0, 6, 29, 42, 210, 126, 252, 126, 78, 20, 7, 0], [0, 6, 29, 43, 203, 147, 217, 161, 57, 27, 6, 0], [0, 6, 29, 44, 196, 168, 182, 196, 36, 34, 5, 0], [0, 6, 29, 45, 189, 189, 147, 231, 15, 41, 4, 0], [0, 6, 30, 31, 258, 14, 406, 0, 134, 12, 4, 1], [0, 6, 30, 32, 251, 35, 371, 35, 113, 19, 3, 1], [0, 6, 30, 33, 244, 56, 336, 70, 92, 26, 2, 1], [0, 6, 30, 33, 245, 49, 357, 35, 127, 5, 9, 0], [0, 6, 30, 34, 237, 77, 301, 105, 71, 33, 1, 1], [0, 6, 30, 34, 238, 70, 322, 70, 106, 12, 8, 0], [0, 6, 30, 35, 230, 98, 266, 140, 50, 40, 0, 1], [0, 6, 30, 35, 231, 91, 287, 105, 85, 19, 7, 0], [0, 6, 30, 36, 224, 112, 252, 140, 64, 26, 6, 0], [0, 6, 30, 37, 217, 133, 217, 175, 43, 33, 5, 0], [0, 6, 30, 38, 210, 154, 182, 210, 22, 40, 4, 0], [0, 6, 30, 39, 203, 175, 147, 245, 1, 47, 3, 0], [0, 6, 31, 25, 272, 0, 406, 14, 120, 18, 3, 1], [0, 6, 31, 26, 265, 21, 371, 49, 99, 25, 2, 1], [0, 6, 31, 26, 266, 14, 392, 14, 134, 4, 9, 0], [0, 6, 31, 27, 258, 42, 336, 84, 78, 32, 1, 1], [0, 6, 31, 27, 259, 35, 357, 49, 113, 11, 8, 0], [0, 6, 31, 28, 251, 63, 301, 119, 57, 39, 0, 1], [0, 6, 31, 28, 252, 56, 322, 84, 92, 18, 7, 0], [0, 6, 31, 29, 245, 77, 287, 119, 71, 25, 6, 0], [0, 6, 31, 30, 238, 98, 252, 154, 50, 32, 5, 0], [0, 6, 31, 31, 231, 119, 217, 189, 29, 39, 4, 0], [0, 6, 31, 32, 224, 140, 182, 224, 8, 46, 3, 0], [0, 6, 32, 20, 279, 7, 371, 63, 85, 31, 1, 1], [0, 6, 32, 20, 280, 0, 392, 28, 120, 10, 8, 0], [0, 6, 32, 21, 272, 28, 336, 98, 64, 38, 0, 1], [0, 6, 32, 21, 273, 21, 357, 63, 99, 17, 7, 0], [0, 6, 32, 22, 266, 42, 322, 98, 78, 24, 6, 0], [0, 6, 32, 23, 259, 63, 287, 133, 57, 31, 5, 0], [0, 6, 32, 24, 252, 84, 252, 168, 36, 38, 4, 0], [0, 6, 32, 25, 245, 105, 217, 203, 15, 45, 3, 0], [0, 6, 33, 15, 287, 7, 357, 77, 85, 23, 6, 0], [0, 6, 33, 16, 280, 28, 322, 112, 64, 30, 5, 0], [0, 6, 33, 17, 273, 49, 287, 147, 43, 37, 4, 0], [0, 6, 33, 18, 266, 70, 252, 182, 22, 44, 3, 0], [0, 6, 33, 19, 259, 91, 217, 217, 1, 51, 2, 0], [0, 6, 34, 10, 294, 14, 322, 126, 50, 36, 4, 0], [0, 6, 34, 11, 287, 35, 287, 161, 29, 43, 3, 0], [0, 6, 34, 12, 280, 56, 252, 196, 8, 50, 2, 0], [0, 6, 35, 4, 308, 0, 322, 140, 36, 42, 3, 0], [0, 6, 35, 5, 301, 21, 287, 175, 15, 49, 2, 0], [0, 7, 11, 130, 12, 350, 154, 84, 140, 3, 3, 2], [0, 7, 11, 131, 5, 371, 119, 119, 119, 10, 2, 2], [0, 7, 12, 123, 33, 315, 189, 63, 147, 2, 3, 2], [0, 7, 12, 124, 26, 336, 154, 98, 126, 9, 2, 2], [0, 7, 12, 125, 19, 357, 119, 133, 105, 16, 1, 2], [0, 7, 12, 126, 12, 378, 84, 168, 84, 23, 0, 2], [0, 7, 12, 126, 13, 371, 105, 133, 119, 2, 7, 1], [0, 7, 12, 127, 6, 392, 70, 168, 98, 9, 6, 1], [0, 7, 13, 116, 54, 280, 224, 42, 154, 1, 3, 2], [0, 7, 13, 117, 47, 301, 189, 77, 133, 8, 2, 2], [0, 7, 13, 118, 40, 322, 154, 112, 112, 15, 1, 2], [0, 7, 13, 119, 33, 343, 119, 147, 91, 22, 0, 2], [0, 7, 13, 119, 34, 336, 140, 112, 126, 1, 7, 1], [0, 7, 13, 120, 27, 357, 105, 147, 105, 8, 6, 1], [0, 7, 13, 121, 20, 378, 70, 182, 84, 15, 5, 1], [0, 7, 13, 122, 13, 399, 35, 217, 63, 22, 4, 1], [0, 7, 13, 122, 14, 392, 56, 182, 98, 1, 11, 0], [0, 7, 13, 123, 6, 420, 0, 252, 42, 29, 3, 1], [0, 7, 13, 123, 7, 413, 21, 217, 77, 8, 10, 0], [0, 7, 14, 109, 75, 245, 259, 21, 161, 0, 3, 2], [0, 7, 14, 110, 68, 266, 224, 56, 140, 7, 2, 2], [0, 7, 14, 111, 61, 287, 189, 91, 119, 14, 1, 2], [0, 7, 14, 112, 54, 308, 154, 126, 98, 21, 0, 2], [0, 7, 14, 112, 55, 301, 175, 91, 133, 0, 7, 1], [0, 7, 14, 113, 48, 322, 140, 126, 112, 7, 6, 1], [0, 7, 14, 114, 41, 343, 105, 161, 91, 14, 5, 1], [0, 7, 14, 115, 34, 364, 70, 196, 70, 21, 4, 1], [0, 7, 14, 115, 35, 357, 91, 161, 105, 0, 11, 0], [0, 7, 14, 116, 27, 385, 35, 231, 49, 28, 3, 1], [0, 7, 14, 116, 28, 378, 56, 196, 84, 7, 10, 0], [0, 7, 14, 117, 20, 406, 0, 266, 28, 35, 2, 1], [0, 7, 14, 117, 21, 399, 21, 231, 63, 14, 9, 0], [0, 7, 15, 103, 89, 231, 259, 35, 147, 6, 2, 2], [0, 7, 15, 104, 82, 252, 224, 70, 126, 13, 1, 2], [0, 7, 15, 105, 75, 273, 189, 105, 105, 20, 0, 2], [0, 7, 15, 106, 69, 287, 175, 105, 119, 6, 6, 1], [0, 7, 15, 107, 62, 308, 140, 140, 98, 13, 5, 1], [0, 7, 15, 108, 55, 329, 105, 175, 77, 20, 4, 1], [0, 7, 15, 109, 48, 350, 70, 210, 56, 27, 3, 1], [0, 7, 15, 109, 49, 343, 91, 175, 91, 6, 10, 0], [0, 7, 15, 110, 41, 371, 35, 245, 35, 34, 2, 1], [0, 7, 15, 110, 42, 364, 56, 210, 70, 13, 9, 0], [0, 7, 15, 111, 34, 392, 0, 280, 14, 41, 1, 1], [0, 7, 15, 111, 35, 385, 21, 245, 49, 20, 8, 0], [0, 7, 16, 96, 110, 196, 294, 14, 154, 5, 2, 2], [0, 7, 16, 97, 103, 217, 259, 49, 133, 12, 1, 2], [0, 7, 16, 98, 96, 238, 224, 84, 112, 19, 0, 2], [0, 7, 16, 99, 90, 252, 210, 84, 126, 5, 6, 1], [0, 7, 16, 100, 83, 273, 175, 119, 105, 12, 5, 1], [0, 7, 16, 101, 76, 294, 140, 154, 84, 19, 4, 1], [0, 7, 16, 102, 69, 315, 105, 189, 63, 26, 3, 1], [0, 7, 16, 102, 70, 308, 126, 154, 98, 5, 10, 0], [0, 7, 16, 103, 62, 336, 70, 224, 42, 33, 2, 1], [0, 7, 16, 103, 63, 329, 91, 189, 77, 12, 9, 0], [0, 7, 16, 104, 55, 357, 35, 259, 21, 40, 1, 1], [0, 7, 16, 104, 56, 350, 56, 224, 56, 19, 8, 0], [0, 7, 16, 105, 48, 378, 0, 294, 0, 47, 0, 1], [0, 7, 16, 105, 49, 371, 21, 259, 35, 26, 7, 0], [0, 7, 17, 90, 124, 182, 294, 28, 140, 11, 1, 2], [0, 7, 17, 91, 117, 203, 259, 63, 119, 18, 0, 2], [0, 7, 17, 92, 111, 217, 245, 63, 133, 4, 6, 1], [0, 7, 17, 93, 104, 238, 210, 98, 112, 11, 5, 1], [0, 7, 17, 94, 97, 259, 175, 133, 91, 18, 4, 1], [0, 7, 17, 95, 90, 280, 140, 168, 70, 25, 3, 1], [0, 7, 17, 95, 91, 273, 161, 133, 105, 4, 10, 0], [0, 7, 17, 96, 83, 301, 105, 203, 49, 32, 2, 1], [0, 7, 17, 96, 84, 294, 126, 168, 84, 11, 9, 0], [0, 7, 17, 97, 76, 322, 70, 238, 28, 39, 1, 1], [0, 7, 17, 97, 77, 315, 91, 203, 63, 18, 8, 0], [0, 7, 17, 98, 69, 343, 35, 273, 7, 46, 0, 1], [0, 7, 17, 98, 70, 336, 56, 238, 42, 25, 7, 0], [0, 7, 17, 99, 63, 357, 21, 273, 21, 32, 6, 0], [0, 7, 18, 83, 145, 147, 329, 7, 147, 10, 1, 2], [0, 7, 18, 84, 138, 168, 294, 42, 126, 17, 0, 2], [0, 7, 18, 85, 132, 182, 280, 42, 140, 3, 6, 1], [0, 7, 18, 86, 125, 203, 245, 77, 119, 10, 5, 1], [0, 7, 18, 87, 118, 224, 210, 112, 98, 17, 4, 1], [0, 7, 18, 88, 111, 245, 175, 147, 77, 24, 3, 1], [0, 7, 18, 88, 112, 238, 196, 112, 112, 3, 10, 0], [0, 7, 18, 89, 104, 266, 140, 182, 56, 31, 2, 1], [0, 7, 18, 89, 105, 259, 161, 147, 91, 10, 9, 0], [0, 7, 18, 90, 97, 287, 105, 217, 35, 38, 1, 1], [0, 7, 18, 90, 98, 280, 126, 182, 70, 17, 8, 0], [0, 7, 18, 91, 90, 308, 70, 252, 14, 45, 0, 1], [0, 7, 18, 91, 91, 301, 91, 217, 49, 24, 7, 0], [0, 7, 18, 92, 84, 322, 56, 252, 28, 31, 6, 0], [0, 7, 18, 93, 77, 343, 21, 287, 7, 38, 5, 0], [0, 7, 19, 77, 159, 133, 329, 21, 133, 16, 0, 2], [0, 7, 19, 78, 153, 147, 315, 21, 147, 2, 6, 1], [0, 7, 19, 79, 146, 168, 280, 56, 126, 9, 5, 1], [0, 7, 19, 80, 139, 189, 245, 91, 105, 16, 4, 1], [0, 7, 19, 81, 132, 210, 210, 126, 84, 23, 3, 1], [0, 7, 19, 81, 133, 203, 231, 91, 119, 2, 10, 0], [0, 7, 19, 82, 125, 231, 175, 161, 63, 30, 2, 1], [0, 7, 19, 82, 126, 224, 196, 126, 98, 9, 9, 0], [0, 7, 19, 83, 118, 252, 140, 196, 42, 37, 1, 1], [0, 7, 19, 83, 119, 245, 161, 161, 77, 16, 8, 0], [0, 7, 19, 84, 111, 273, 105, 231, 21, 44, 0, 1], [0, 7, 19, 84, 112, 266, 126, 196, 56, 23, 7, 0], [0, 7, 19, 85, 105, 287, 91, 231, 35, 30, 6, 0], [0, 7, 19, 86, 98, 308, 56, 266, 14, 37, 5, 0], [0, 7, 20, 70, 180, 98, 364, 0, 140, 15, 0, 2], [0, 7, 20, 71, 174, 112, 350, 0, 154, 1, 6, 1], [0, 7, 20, 72, 167, 133, 315, 35, 133, 8, 5, 1], [0, 7, 20, 73, 160, 154, 280, 70, 112, 15, 4, 1], [0, 7, 20, 74, 153, 175, 245, 105, 91, 22, 3, 1], [0, 7, 20, 74, 154, 168, 266, 70, 126, 1, 10, 0], [0, 7, 20, 75, 146, 196, 210, 140, 70, 29, 2, 1], [0, 7, 20, 75, 147, 189, 231, 105, 105, 8, 9, 0], [0, 7, 20, 76, 139, 217, 175, 175, 49, 36, 1, 1], [0, 7, 20, 76, 140, 210, 196, 140, 84, 15, 8, 0], [0, 7, 20, 77, 132, 238, 140, 210, 28, 43, 0, 1], [0, 7, 20, 77, 133, 231, 161, 175, 63, 22, 7, 0], [0, 7, 20, 78, 126, 252, 126, 210, 42, 29, 6, 0], [0, 7, 20, 79, 119, 273, 91, 245, 21, 36, 5, 0], [0, 7, 20, 80, 112, 294, 56, 280, 0, 43, 4, 0], [0, 7, 21, 65, 188, 98, 350, 14, 140, 7, 5, 1], [0, 7, 21, 66, 181, 119, 315, 49, 119, 14, 4, 1], [0, 7, 21, 67, 174, 140, 280, 84, 98, 21, 3, 1], [0, 7, 21, 67, 175, 133, 301, 49, 133, 0, 10, 0], [0, 7, 21, 68, 167, 161, 245, 119, 77, 28, 2, 1], [0, 7, 21, 68, 168, 154, 266, 84, 112, 7, 9, 0], [0, 7, 21, 69, 160, 182, 210, 154, 56, 35, 1, 1], [0, 7, 21, 69, 161, 175, 231, 119, 91, 14, 8, 0], [0, 7, 21, 70, 153, 203, 175, 189, 35, 42, 0, 1], [0, 7, 21, 70, 154, 196, 196, 154, 70, 21, 7, 0], [0, 7, 21, 71, 147, 217, 161, 189, 49, 28, 6, 0], [0, 7, 21, 72, 140, 238, 126, 224, 28, 35, 5, 0], [0, 7, 21, 73, 133, 259, 91, 259, 7, 42, 4, 0], [0, 7, 22, 59, 202, 84, 350, 28, 126, 13, 4, 1], [0, 7, 22, 60, 195, 105, 315, 63, 105, 20, 3, 1], [0, 7, 22, 61, 188, 126, 280, 98, 84, 27, 2, 1], [0, 7, 22, 61, 189, 119, 301, 63, 119, 6, 9, 0], [0, 7, 22, 62, 181, 147, 245, 133, 63, 34, 1, 1], [0, 7, 22, 62, 182, 140, 266, 98, 98, 13, 8, 0], [0, 7, 22, 63, 174, 168, 210, 168, 42, 41, 0, 1], [0, 7, 22, 63, 175, 161, 231, 133, 77, 20, 7, 0], [0, 7, 22, 64, 168, 182, 196, 168, 56, 27, 6, 0], [0, 7, 22, 65, 161, 203, 161, 203, 35, 34, 5, 0], [0, 7, 22, 66, 154, 224, 126, 238, 14, 41, 4, 0], [0, 7, 23, 52, 223, 49, 385, 7, 133, 12, 4, 1], [0, 7, 23, 53, 216, 70, 350, 42, 112, 19, 3, 1], [0, 7, 23, 54, 209, 91, 315, 77, 91, 26, 2, 1], [0, 7, 23, 54, 210, 84, 336, 42, 126, 5, 9, 0], [0, 7, 23, 55, 202, 112, 280, 112, 70, 33, 1, 1], [0, 7, 23, 55, 203, 105, 301, 77, 105, 12, 8, 0], [0, 7, 23, 56, 195, 133, 245, 147, 49, 40, 0, 1], [0, 7, 23, 56, 196, 126, 266, 112, 84, 19, 7, 0], [0, 7, 23, 57, 189, 147, 231, 147, 63, 26, 6, 0], [0, 7, 23, 58, 182, 168, 196, 182, 42, 33, 5, 0], [0, 7, 23, 59, 175, 189, 161, 217, 21, 40, 4, 0], [0, 7, 23, 60, 168, 210, 126, 252, 0, 47, 3, 0], [0, 7, 24, 46, 237, 35, 385, 21, 119, 18, 3, 1], [0, 7, 24, 47, 230, 56, 350, 56, 98, 25, 2, 1], [0, 7, 24, 47, 231, 49, 371, 21, 133, 4, 9, 0], [0, 7, 24, 48, 223, 77, 315, 91, 77, 32, 1, 1], [0, 7, 24, 48, 224, 70, 336, 56, 112, 11, 8, 0], [0, 7, 24, 49, 216, 98, 280, 126, 56, 39, 0, 1], [0, 7, 24, 49, 217, 91, 301, 91, 91, 18, 7, 0], [0, 7, 24, 50, 210, 112, 266, 126, 70, 25, 6, 0], [0, 7, 24, 51, 203, 133, 231, 161, 49, 32, 5, 0], [0, 7, 24, 52, 196, 154, 196, 196, 28, 39, 4, 0], [0, 7, 24, 53, 189, 175, 161, 231, 7, 46, 3, 0], [0, 7, 25, 39, 258, 0, 420, 0, 126, 17, 3, 1], [0, 7, 25, 40, 251, 21, 385, 35, 105, 24, 2, 1], [0, 7, 25, 40, 252, 14, 406, 0, 140, 3, 9, 0], [0, 7, 25, 41, 244, 42, 350, 70, 84, 31, 1, 1], [0, 7, 25, 41, 245, 35, 371, 35, 119, 10, 8, 0], [0, 7, 25, 42, 237, 63, 315, 105, 63, 38, 0, 1], [0, 7, 25, 42, 238, 56, 336, 70, 98, 17, 7, 0], [0, 7, 25, 43, 231, 77, 301, 105, 77, 24, 6, 0], [0, 7, 25, 44, 224, 98, 266, 140, 56, 31, 5, 0], [0, 7, 25, 45, 217, 119, 231, 175, 35, 38, 4, 0], [0, 7, 25, 46, 210, 140, 196, 210, 14, 45, 3, 0], [0, 7, 26, 34, 265, 7, 385, 49, 91, 30, 1, 1], [0, 7, 26, 34, 266, 0, 406, 14, 126, 9, 8, 0], [0, 7, 26, 35, 258, 28, 350, 84, 70, 37, 0, 1], [0, 7, 26, 35, 259, 21, 371, 49, 105, 16, 7, 0], [0, 7, 26, 36, 252, 42, 336, 84, 84, 23, 6, 0], [0, 7, 26, 37, 245, 63, 301, 119, 63, 30, 5, 0], [0, 7, 26, 38, 238, 84, 266, 154, 42, 37, 4, 0], [0, 7, 26, 39, 231, 105, 231, 189, 21, 44, 3, 0], [0, 7, 26, 40, 224, 126, 196, 224, 0, 51, 2, 0], [0, 7, 27, 29, 273, 7, 371, 63, 91, 22, 6, 0], [0, 7, 27, 30, 266, 28, 336, 98, 70, 29, 5, 0], [0, 7, 27, 31, 259, 49, 301, 133, 49, 36, 4, 0], [0, 7, 27, 32, 252, 70, 266, 168, 28, 43, 3, 0], [0, 7, 27, 33, 245, 91, 231, 203, 7, 50, 2, 0], [0, 7, 28, 24, 280, 14, 336, 112, 56, 35, 4, 0], [0, 7, 28, 25, 273, 35, 301, 147, 35, 42, 3, 0], [0, 7, 28, 26, 266, 56, 266, 182, 14, 49, 2, 0], [0, 7, 29, 18, 294, 0, 336, 126, 42, 41, 3, 0], [0, 7, 29, 19, 287, 21, 301, 161, 21, 48, 2, 0], [0, 7, 29, 20, 280, 42, 266, 196, 0, 55, 1, 0], [0, 7, 30, 13, 301, 7, 301, 175, 7, 54, 1, 0], [0, 8, 6, 137, 19, 315, 203, 49, 153, 1, 3, 2], [0, 8, 6, 138, 12, 336, 168, 84, 132, 8, 2, 2], [0, 8, 6, 139, 5, 357, 133, 119, 111, 15, 1, 2], [0, 8, 7, 130, 40, 280, 238, 28, 160, 0, 3, 2], [0, 8, 7, 131, 33, 301, 203, 63, 139, 7, 2, 2], [0, 8, 7, 132, 26, 322, 168, 98, 118, 14, 1, 2], [0, 8, 7, 133, 19, 343, 133, 133, 97, 21, 0, 2], [0, 8, 7, 133, 20, 336, 154, 98, 132, 0, 7, 1], [0, 8, 7, 134, 13, 357, 119, 133, 111, 7, 6, 1], [0, 8, 7, 135, 6, 378, 84, 168, 90, 14, 5, 1], [0, 8, 7, 136, 0, 392, 70, 168, 104, 0, 11, 0], [0, 8, 8, 124, 54, 266, 238, 42, 146, 6, 2, 2], [0, 8, 8, 125, 47, 287, 203, 77, 125, 13, 1, 2], [0, 8, 8, 126, 40, 308, 168, 112, 104, 20, 0, 2], [0, 8, 8, 127, 34, 322, 154, 112, 118, 6, 6, 1], [0, 8, 8, 128, 27, 343, 119, 147, 97, 13, 5, 1], [0, 8, 8, 129, 20, 364, 84, 182, 76, 20, 4, 1], [0, 8, 8, 130, 13, 385, 49, 217, 55, 27, 3, 1], [0, 8, 8, 130, 14, 378, 70, 182, 90, 6, 10, 0], [0, 8, 8, 131, 6, 406, 14, 252, 34, 34, 2, 1], [0, 8, 8, 131, 7, 399, 35, 217, 69, 13, 9, 0], [0, 8, 8, 132, 0, 420, 0, 252, 48, 20, 8, 0], [0, 8, 9, 117, 75, 231, 273, 21, 153, 5, 2, 2], [0, 8, 9, 118, 68, 252, 238, 56, 132, 12, 1, 2], [0, 8, 9, 119, 61, 273, 203, 91, 111, 19, 0, 2], [0, 8, 9, 120, 55, 287, 189, 91, 125, 5, 6, 1], [0, 8, 9, 121, 48, 308, 154, 126, 104, 12, 5, 1], [0, 8, 9, 122, 41, 329, 119, 161, 83, 19, 4, 1], [0, 8, 9, 123, 34, 350, 84, 196, 62, 26, 3, 1], [0, 8, 9, 123, 35, 343, 105, 161, 97, 5, 10, 0], [0, 8, 9, 124, 27, 371, 49, 231, 41, 33, 2, 1], [0, 8, 9, 124, 28, 364, 70, 196, 76, 12, 9, 0], [0, 8, 9, 125, 20, 392, 14, 266, 20, 40, 1, 1], [0, 8, 9, 125, 21, 385, 35, 231, 55, 19, 8, 0], [0, 8, 9, 126, 14, 406, 0, 266, 34, 26, 7, 0], [0, 8, 10, 110, 96, 196, 308, 0, 160, 4, 2, 2], [0, 8, 10, 111, 89, 217, 273, 35, 139, 11, 1, 2], [0, 8, 10, 112, 82, 238, 238, 70, 118, 18, 0, 2], [0, 8, 10, 113, 76, 252, 224, 70, 132, 4, 6, 1], [0, 8, 10, 114, 69, 273, 189, 105, 111, 11, 5, 1], [0, 8, 10, 115, 62, 294, 154, 140, 90, 18, 4, 1], [0, 8, 10, 116, 55, 315, 119, 175, 69, 25, 3, 1], [0, 8, 10, 116, 56, 308, 140, 140, 104, 4, 10, 0], [0, 8, 10, 117, 48, 336, 84, 210, 48, 32, 2, 1], [0, 8, 10, 117, 49, 329, 105, 175, 83, 11, 9, 0], [0, 8, 10, 118, 41, 357, 49, 245, 27, 39, 1, 1], [0, 8, 10, 118, 42, 350, 70, 210, 62, 18, 8, 0], [0, 8, 10, 119, 34, 378, 14, 280, 6, 46, 0, 1], [0, 8, 10, 119, 35, 371, 35, 245, 41, 25, 7, 0], [0, 8, 10, 120, 28, 392, 0, 280, 20, 32, 6, 0], [0, 8, 11, 104, 110, 182, 308, 14, 146, 10, 1, 2], [0, 8, 11, 105, 103, 203, 273, 49, 125, 17, 0, 2], [0, 8, 11, 106, 97, 217, 259, 49, 139, 3, 6, 1], [0, 8, 11, 107, 90, 238, 224, 84, 118, 10, 5, 1], [0, 8, 11, 108, 83, 259, 189, 119, 97, 17, 4, 1], [0, 8, 11, 109, 76, 280, 154, 154, 76, 24, 3, 1], [0, 8, 11, 109, 77, 273, 175, 119, 111, 3, 10, 0], [0, 8, 11, 110, 69, 301, 119, 189, 55, 31, 2, 1], [0, 8, 11, 110, 70, 294, 140, 154, 90, 10, 9, 0], [0, 8, 11, 111, 62, 322, 84, 224, 34, 38, 1, 1], [0, 8, 11, 111, 63, 315, 105, 189, 69, 17, 8, 0], [0, 8, 11, 112, 55, 343, 49, 259, 13, 45, 0, 1], [0, 8, 11, 112, 56, 336, 70, 224, 48, 24, 7, 0], [0, 8, 11, 113, 49, 357, 35, 259, 27, 31, 6, 0], [0, 8, 11, 114, 42, 378, 0, 294, 6, 38, 5, 0], [0, 8, 12, 98, 124, 168, 308, 28, 132, 16, 0, 2], [0, 8, 12, 99, 118, 182, 294, 28, 146, 2, 6, 1], [0, 8, 12, 100, 111, 203, 259, 63, 125, 9, 5, 1], [0, 8, 12, 101, 104, 224, 224, 98, 104, 16, 4, 1], [0, 8, 12, 102, 97, 245, 189, 133, 83, 23, 3, 1], [0, 8, 12, 102, 98, 238, 210, 98, 118, 2, 10, 0], [0, 8, 12, 103, 90, 266, 154, 168, 62, 30, 2, 1], [0, 8, 12, 103, 91, 259, 175, 133, 97, 9, 9, 0], [0, 8, 12, 104, 83, 287, 119, 203, 41, 37, 1, 1], [0, 8, 12, 104, 84, 280, 140, 168, 76, 16, 8, 0], [0, 8, 12, 105, 76, 308, 84, 238, 20, 44, 0, 1], [0, 8, 12, 105, 77, 301, 105, 203, 55, 23, 7, 0], [0, 8, 12, 106, 70, 322, 70, 238, 34, 30, 6, 0], [0, 8, 12, 107, 63, 343, 35, 273, 13, 37, 5, 0], [0, 8, 13, 91, 145, 133, 343, 7, 139, 15, 0, 2], [0, 8, 13, 92, 139, 147, 329, 7, 153, 1, 6, 1], [0, 8, 13, 93, 132, 168, 294, 42, 132, 8, 5, 1], [0, 8, 13, 94, 125, 189, 259, 77, 111, 15, 4, 1], [0, 8, 13, 95, 118, 210, 224, 112, 90, 22, 3, 1], [0, 8, 13, 95, 119, 203, 245, 77, 125, 1, 10, 0], [0, 8, 13, 96, 111, 231, 189, 147, 69, 29, 2, 1], [0, 8, 13, 96, 112, 224, 210, 112, 104, 8, 9, 0], [0, 8, 13, 97, 104, 252, 154, 182, 48, 36, 1, 1], [0, 8, 13, 97, 105, 245, 175, 147, 83, 15, 8, 0], [0, 8, 13, 98, 97, 273, 119, 217, 27, 43, 0, 1], [0, 8, 13, 98, 98, 266, 140, 182, 62, 22, 7, 0], [0, 8, 13, 99, 91, 287, 105, 217, 41, 29, 6, 0], [0, 8, 13, 100, 84, 308, 70, 252, 20, 36, 5, 0], [0, 8, 14, 86, 153, 133, 329, 21, 139, 7, 5, 1], [0, 8, 14, 87, 146, 154, 294, 56, 118, 14, 4, 1], [0, 8, 14, 88, 139, 175, 259, 91, 97, 21, 3, 1], [0, 8, 14, 88, 140, 168, 280, 56, 132, 0, 10, 0], [0, 8, 14, 89, 132, 196, 224, 126, 76, 28, 2, 1], [0, 8, 14, 89, 133, 189, 245, 91, 111, 7, 9, 0], [0, 8, 14, 90, 125, 217, 189, 161, 55, 35, 1, 1], [0, 8, 14, 90, 126, 210, 210, 126, 90, 14, 8, 0], [0, 8, 14, 91, 118, 238, 154, 196, 34, 42, 0, 1], [0, 8, 14, 91, 119, 231, 175, 161, 69, 21, 7, 0], [0, 8, 14, 92, 112, 252, 140, 196, 48, 28, 6, 0], [0, 8, 14, 93, 105, 273, 105, 231, 27, 35, 5, 0], [0, 8, 14, 94, 98, 294, 70, 266, 6, 42, 4, 0], [0, 8, 15, 79, 174, 98, 364, 0, 146, 6, 5, 1], [0, 8, 15, 80, 167, 119, 329, 35, 125, 13, 4, 1], [0, 8, 15, 81, 160, 140, 294, 70, 104, 20, 3, 1], [0, 8, 15, 82, 153, 161, 259, 105, 83, 27, 2, 1], [0, 8, 15, 82, 154, 154, 280, 70, 118, 6, 9, 0], [0, 8, 15, 83, 146, 182, 224, 140, 62, 34, 1, 1], [0, 8, 15, 83, 147, 175, 245, 105, 97, 13, 8, 0], [0, 8, 15, 84, 139, 203, 189, 175, 41, 41, 0, 1], [0, 8, 15, 84, 140, 196, 210, 140, 76, 20, 7, 0], [0, 8, 15, 85, 133, 217, 175, 175, 55, 27, 6, 0], [0, 8, 15, 86, 126, 238, 140, 210, 34, 34, 5, 0], [0, 8, 15, 87, 119, 259, 105, 245, 13, 41, 4, 0], [0, 8, 16, 73, 188, 84, 364, 14, 132, 12, 4, 1], [0, 8, 16, 74, 181, 105, 329, 49, 111, 19, 3, 1], [0, 8, 16, 75, 174, 126, 294, 84, 90, 26, 2, 1], [0, 8, 16, 75, 175, 119, 315, 49, 125, 5, 9, 0], [0, 8, 16, 76, 167, 147, 259, 119, 69, 33, 1, 1], [0, 8, 16, 76, 168, 140, 280, 84, 104, 12, 8, 0], [0, 8, 16, 77, 160, 168, 224, 154, 48, 40, 0, 1], [0, 8, 16, 77, 161, 161, 245, 119, 83, 19, 7, 0], [0, 8, 16, 78, 154, 182, 210, 154, 62, 26, 6, 0], [0, 8, 16, 79, 147, 203, 175, 189, 41, 33, 5, 0], [0, 8, 16, 80, 140, 224, 140, 224, 20, 40, 4, 0], [0, 8, 17, 67, 202, 70, 364, 28, 118, 18, 3, 1], [0, 8, 17, 68, 195, 91, 329, 63, 97, 25, 2, 1], [0, 8, 17, 68, 196, 84, 350, 28, 132, 4, 9, 0], [0, 8, 17, 69, 188, 112, 294, 98, 76, 32, 1, 1], [0, 8, 17, 69, 189, 105, 315, 63, 111, 11, 8, 0], [0, 8, 17, 70, 181, 133, 259, 133, 55, 39, 0, 1], [0, 8, 17, 70, 182, 126, 280, 98, 90, 18, 7, 0], [0, 8, 17, 71, 175, 147, 245, 133, 69, 25, 6, 0], [0, 8, 17, 72, 168, 168, 210, 168, 48, 32, 5, 0], [0, 8, 17, 73, 161, 189, 175, 203, 27, 39, 4, 0], [0, 8, 17, 74, 154, 210, 140, 238, 6, 46, 3, 0], [0, 8, 18, 60, 223, 35, 399, 7, 125, 17, 3, 1], [0, 8, 18, 61, 216, 56, 364, 42, 104, 24, 2, 1], [0, 8, 18, 61, 217, 49, 385, 7, 139, 3, 9, 0], [0, 8, 18, 62, 209, 77, 329, 77, 83, 31, 1, 1], [0, 8, 18, 62, 210, 70, 350, 42, 118, 10, 8, 0], [0, 8, 18, 63, 202, 98, 294, 112, 62, 38, 0, 1], [0, 8, 18, 63, 203, 91, 315, 77, 97, 17, 7, 0], [0, 8, 18, 64, 196, 112, 280, 112, 76, 24, 6, 0], [0, 8, 18, 65, 189, 133, 245, 147, 55, 31, 5, 0], [0, 8, 18, 66, 182, 154, 210, 182, 34, 38, 4, 0], [0, 8, 18, 67, 175, 175, 175, 217, 13, 45, 3, 0], [0, 8, 19, 54, 237, 21, 399, 21, 111, 23, 2, 1], [0, 8, 19, 55, 230, 42, 364, 56, 90, 30, 1, 1], [0, 8, 19, 55, 231, 35, 385, 21, 125, 9, 8, 0], [0, 8, 19, 56, 223, 63, 329, 91, 69, 37, 0, 1], [0, 8, 19, 56, 224, 56, 350, 56, 104, 16, 7, 0], [0, 8, 19, 57, 217, 77, 315, 91, 83, 23, 6, 0], [0, 8, 19, 58, 210, 98, 280, 126, 62, 30, 5, 0], [0, 8, 19, 59, 203, 119, 245, 161, 41, 37, 4, 0], [0, 8, 19, 60, 196, 140, 210, 196, 20, 44, 3, 0], [0, 8, 20, 48, 251, 7, 399, 35, 97, 29, 1, 1], [0, 8, 20, 48, 252, 0, 420, 0, 132, 8, 8, 0], [0, 8, 20, 49, 244, 28, 364, 70, 76, 36, 0, 1], [0, 8, 20, 49, 245, 21, 385, 35, 111, 15, 7, 0], [0, 8, 20, 50, 238, 42, 350, 70, 90, 22, 6, 0], [0, 8, 20, 51, 231, 63, 315, 105, 69, 29, 5, 0], [0, 8, 20, 52, 224, 84, 280, 140, 48, 36, 4, 0], [0, 8, 20, 53, 217, 105, 245, 175, 27, 43, 3, 0], [0, 8, 20, 54, 210, 126, 210, 210, 6, 50, 2, 0], [0, 8, 21, 43, 259, 7, 385, 49, 97, 21, 6, 0], [0, 8, 21, 44, 252, 28, 350, 84, 76, 28, 5, 0], [0, 8, 21, 45, 245, 49, 315, 119, 55, 35, 4, 0], [0, 8, 21, 46, 238, 70, 280, 154, 34, 42, 3, 0], [0, 8, 21, 47, 231, 91, 245, 189, 13, 49, 2, 0], [0, 8, 22, 38, 266, 14, 350, 98, 62, 34, 4, 0], [0, 8, 22, 39, 259, 35, 315, 133, 41, 41, 3, 0], [0, 8, 22, 40, 252, 56, 280, 168, 20, 48, 2, 0], [0, 8, 23, 32, 280, 0, 350, 112, 48, 40, 3, 0], [0, 8, 23, 33, 273, 21, 315, 147, 27, 47, 2, 0], [0, 8, 23, 34, 266, 42, 280, 182, 6, 54, 1, 0], [0, 8, 24, 27, 287, 7, 315, 161, 13, 53, 1, 0], [0, 9, 0, 151, 5, 315, 217, 35, 159, 0, 3, 2], [0, 9, 1, 145, 19, 301, 217, 49, 145, 6, 2, 2], [0, 9, 1, 146, 12, 322, 182, 84, 124, 13, 1, 2], [0, 9, 1, 147, 5, 343, 147, 119, 103, 20, 0, 2], [0, 9, 2, 138, 40, 266, 252, 28, 152, 5, 2, 2], [0, 9, 2, 139, 33, 287, 217, 63, 131, 12, 1, 2], [0, 9, 2, 140, 26, 308, 182, 98, 110, 19, 0, 2], [0, 9, 2, 141, 20, 322, 168, 98, 124, 5, 6, 1], [0, 9, 2, 142, 13, 343, 133, 133, 103, 12, 5, 1], [0, 9, 2, 143, 6, 364, 98, 168, 82, 19, 4, 1], [0, 9, 2, 144, 0, 378, 84, 168, 96, 5, 10, 0], [0, 9, 3, 131, 61, 231, 287, 7, 159, 4, 2, 2], [0, 9, 3, 132, 54, 252, 252, 42, 138, 11, 1, 2], [0, 9, 3, 133, 47, 273, 217, 77, 117, 18, 0, 2], [0, 9, 3, 134, 41, 287, 203, 77, 131, 4, 6, 1], [0, 9, 3, 135, 34, 308, 168, 112, 110, 11, 5, 1], [0, 9, 3, 136, 27, 329, 133, 147, 89, 18, 4, 1], [0, 9, 3, 137, 20, 350, 98, 182, 68, 25, 3, 1], [0, 9, 3, 137, 21, 343, 119, 147, 103, 4, 10, 0], [0, 9, 3, 138, 13, 371, 63, 217, 47, 32, 2, 1], [0, 9, 3, 138, 14, 364, 84, 182, 82, 11, 9, 0], [0, 9, 3, 139, 6, 392, 28, 252, 26, 39, 1, 1], [0, 9, 3, 139, 7, 385, 49, 217, 61, 18, 8, 0], [0, 9, 3, 140, 0, 406, 14, 252, 40, 25, 7, 0], [0, 9, 4, 125, 75, 217, 287, 21, 145, 10, 1, 2], [0, 9, 4, 126, 68, 238, 252, 56, 124, 17, 0, 2], [0, 9, 4, 127, 62, 252, 238, 56, 138, 3, 6, 1], [0, 9, 4, 128, 55, 273, 203, 91, 117, 10, 5, 1], [0, 9, 4, 129, 48, 294, 168, 126, 96, 17, 4, 1], [0, 9, 4, 130, 41, 315, 133, 161, 75, 24, 3, 1], [0, 9, 4, 130, 42, 308, 154, 126, 110, 3, 10, 0], [0, 9, 4, 131, 34, 336, 98, 196, 54, 31, 2, 1], [0, 9, 4, 131, 35, 329, 119, 161, 89, 10, 9, 0], [0, 9, 4, 132, 27, 357, 63, 231, 33, 38, 1, 1], [0, 9, 4, 132, 28, 350, 84, 196, 68, 17, 8, 0], [0, 9, 4, 133, 20, 378, 28, 266, 12, 45, 0, 1], [0, 9, 4, 133, 21, 371, 49, 231, 47, 24, 7, 0], [0, 9, 4, 134, 14, 392, 14, 266, 26, 31, 6, 0], [0, 9, 5, 118, 96, 182, 322, 0, 152, 9, 1, 2], [0, 9, 5, 119, 89, 203, 287, 35, 131, 16, 0, 2], [0, 9, 5, 120, 83, 217, 273, 35, 145, 2, 6, 1], [0, 9, 5, 121, 76, 238, 238, 70, 124, 9, 5, 1], [0, 9, 5, 122, 69, 259, 203, 105, 103, 16, 4, 1], [0, 9, 5, 123, 62, 280, 168, 140, 82, 23, 3, 1], [0, 9, 5, 123, 63, 273, 189, 105, 117, 2, 10, 0], [0, 9, 5, 124, 55, 301, 133, 175, 61, 30, 2, 1], [0, 9, 5, 124, 56, 294, 154, 140, 96, 9, 9, 0], [0, 9, 5, 125, 48, 322, 98, 210, 40, 37, 1, 1], [0, 9, 5, 125, 49, 315, 119, 175, 75, 16, 8, 0], [0, 9, 5, 126, 41, 343, 63, 245, 19, 44, 0, 1], [0, 9, 5, 126, 42, 336, 84, 210, 54, 23, 7, 0], [0, 9, 5, 127, 35, 357, 49, 245, 33, 30, 6, 0], [0, 9, 5, 128, 28, 378, 14, 280, 12, 37, 5, 0], [0, 9, 6, 112, 110, 168, 322, 14, 138, 15, 0, 2], [0, 9, 6, 113, 104, 182, 308, 14, 152, 1, 6, 1], [0, 9, 6, 114, 97, 203, 273, 49, 131, 8, 5, 1], [0, 9, 6, 115, 90, 224, 238, 84, 110, 15, 4, 1], [0, 9, 6, 116, 83, 245, 203, 119, 89, 22, 3, 1], [0, 9, 6, 116, 84, 238, 224, 84, 124, 1, 10, 0], [0, 9, 6, 117, 76, 266, 168, 154, 68, 29, 2, 1], [0, 9, 6, 117, 77, 259, 189, 119, 103, 8, 9, 0], [0, 9, 6, 118, 69, 287, 133, 189, 47, 36, 1, 1], [0, 9, 6, 118, 70, 280, 154, 154, 82, 15, 8, 0], [0, 9, 6, 119, 62, 308, 98, 224, 26, 43, 0, 1], [0, 9, 6, 119, 63, 301, 119, 189, 61, 22, 7, 0], [0, 9, 6, 120, 56, 322, 84, 224, 40, 29, 6, 0], [0, 9, 6, 121, 49, 343, 49, 259, 19, 36, 5, 0], [0, 9, 7, 107, 118, 168, 308, 28, 138, 7, 5, 1], [0, 9, 7, 108, 111, 189, 273, 63, 117, 14, 4, 1], [0, 9, 7, 109, 104, 210, 238, 98, 96, 21, 3, 1], [0, 9, 7, 109, 105, 203, 259, 63, 131, 0, 10, 0], [0, 9, 7, 110, 97, 231, 203, 133, 75, 28, 2, 1], [0, 9, 7, 110, 98, 224, 224, 98, 110, 7, 9, 0], [0, 9, 7, 111, 90, 252, 168, 168, 54, 35, 1, 1], [0, 9, 7, 111, 91, 245, 189, 133, 89, 14, 8, 0], [0, 9, 7, 112, 83, 273, 133, 203, 33, 42, 0, 1], [0, 9, 7, 112, 84, 266, 154, 168, 68, 21, 7, 0], [0, 9, 7, 113, 77, 287, 119, 203, 47, 28, 6, 0], [0, 9, 7, 114, 70, 308, 84, 238, 26, 35, 5, 0], [0, 9, 7, 115, 63, 329, 49, 273, 5, 42, 4, 0], [0, 9, 8, 100, 139, 133, 343, 7, 145, 6, 5, 1], [0, 9, 8, 101, 132, 154, 308, 42, 124, 13, 4, 1], [0, 9, 8, 102, 125, 175, 273, 77, 103, 20, 3, 1], [0, 9, 8, 103, 118, 196, 238, 112, 82, 27, 2, 1], [0, 9, 8, 103, 119, 189, 259, 77, 117, 6, 9, 0], [0, 9, 8, 104, 111, 217, 203, 147, 61, 34, 1, 1], [0, 9, 8, 104, 112, 210, 224, 112, 96, 13, 8, 0], [0, 9, 8, 105, 104, 238, 168, 182, 40, 41, 0, 1], [0, 9, 8, 105, 105, 231, 189, 147, 75, 20, 7, 0], [0, 9, 8, 106, 98, 252, 154, 182, 54, 27, 6, 0], [0, 9, 8, 107, 91, 273, 119, 217, 33, 34, 5, 0], [0, 9, 8, 108, 84, 294, 84, 252, 12, 41, 4, 0], [0, 9, 9, 94, 153, 119, 343, 21, 131, 12, 4, 1], [0, 9, 9, 95, 146, 140, 308, 56, 110, 19, 3, 1], [0, 9, 9, 96, 139, 161, 273, 91, 89, 26, 2, 1], [0, 9, 9, 96, 140, 154, 294, 56, 124, 5, 9, 0], [0, 9, 9, 97, 132, 182, 238, 126, 68, 33, 1, 1], [0, 9, 9, 97, 133, 175, 259, 91, 103, 12, 8, 0], [0, 9, 9, 98, 125, 203, 203, 161, 47, 40, 0, 1], [0, 9, 9, 98, 126, 196, 224, 126, 82, 19, 7, 0], [0, 9, 9, 99, 119, 217, 189, 161, 61, 26, 6, 0], [0, 9, 9, 100, 112, 238, 154, 196, 40, 33, 5, 0], [0, 9, 9, 101, 105, 259, 119, 231, 19, 40, 4, 0], [0, 9, 10, 87, 174, 84, 378, 0, 138, 11, 4, 1], [0, 9, 10, 88, 167, 105, 343, 35, 117, 18, 3, 1], [0, 9, 10, 89, 160, 126, 308, 70, 96, 25, 2, 1], [0, 9, 10, 89, 161, 119, 329, 35, 131, 4, 9, 0], [0, 9, 10, 90, 153, 147, 273, 105, 75, 32, 1, 1], [0, 9, 10, 90, 154, 140, 294, 70, 110, 11, 8, 0], [0, 9, 10, 91, 146, 168, 238, 140, 54, 39, 0, 1], [0, 9, 10, 91, 147, 161, 259, 105, 89, 18, 7, 0], [0, 9, 10, 92, 140, 182, 224, 140, 68, 25, 6, 0], [0, 9, 10, 93, 133, 203, 189, 175, 47, 32, 5, 0], [0, 9, 10, 94, 126, 224, 154, 210, 26, 39, 4, 0], [0, 9, 10, 95, 119, 245, 119, 245, 5, 46, 3, 0], [0, 9, 11, 81, 188, 70, 378, 14, 124, 17, 3, 1], [0, 9, 11, 82, 181, 91, 343, 49, 103, 24, 2, 1], [0, 9, 11, 82, 182, 84, 364, 14, 138, 3, 9, 0], [0, 9, 11, 83, 174, 112, 308, 84, 82, 31, 1, 1], [0, 9, 11, 83, 175, 105, 329, 49, 117, 10, 8, 0], [0, 9, 11, 84, 167, 133, 273, 119, 61, 38, 0, 1], [0, 9, 11, 84, 168, 126, 294, 84, 96, 17, 7, 0], [0, 9, 11, 85, 161, 147, 259, 119, 75, 24, 6, 0], [0, 9, 11, 86, 154, 168, 224, 154, 54, 31, 5, 0], [0, 9, 11, 87, 147, 189, 189, 189, 33, 38, 4, 0], [0, 9, 11, 88, 140, 210, 154, 224, 12, 45, 3, 0], [0, 9, 12, 75, 202, 56, 378, 28, 110, 23, 2, 1], [0, 9, 12, 76, 195, 77, 343, 63, 89, 30, 1, 1], [0, 9, 12, 76, 196, 70, 364, 28, 124, 9, 8, 0], [0, 9, 12, 77, 188, 98, 308, 98, 68, 37, 0, 1], [0, 9, 12, 77, 189, 91, 329, 63, 103, 16, 7, 0], [0, 9, 12, 78, 182, 112, 294, 98, 82, 23, 6, 0], [0, 9, 12, 79, 175, 133, 259, 133, 61, 30, 5, 0], [0, 9, 12, 80, 168, 154, 224, 168, 40, 37, 4, 0], [0, 9, 12, 81, 161, 175, 189, 203, 19, 44, 3, 0], [0, 9, 13, 68, 223, 21, 413, 7, 117, 22, 2, 1], [0, 9, 13, 69, 216, 42, 378, 42, 96, 29, 1, 1], [0, 9, 13, 69, 217, 35, 399, 7, 131, 8, 8, 0], [0, 9, 13, 70, 209, 63, 343, 77, 75, 36, 0, 1], [0, 9, 13, 70, 210, 56, 364, 42, 110, 15, 7, 0], [0, 9, 13, 71, 203, 77, 329, 77, 89, 22, 6, 0], [0, 9, 13, 72, 196, 98, 294, 112, 68, 29, 5, 0], [0, 9, 13, 73, 189, 119, 259, 147, 47, 36, 4, 0], [0, 9, 13, 74, 182, 140, 224, 182, 26, 43, 3, 0], [0, 9, 13, 75, 175, 161, 189, 217, 5, 50, 2, 0], [0, 9, 14, 62, 237, 7, 413, 21, 103, 28, 1, 1], [0, 9, 14, 63, 230, 28, 378, 56, 82, 35, 0, 1], [0, 9, 14, 63, 231, 21, 399, 21, 117, 14, 7, 0], [0, 9, 14, 64, 224, 42, 364, 56, 96, 21, 6, 0], [0, 9, 14, 65, 217, 63, 329, 91, 75, 28, 5, 0], [0, 9, 14, 66, 210, 84, 294, 126, 54, 35, 4, 0], [0, 9, 14, 67, 203, 105, 259, 161, 33, 42, 3, 0], [0, 9, 14, 68, 196, 126, 224, 196, 12, 49, 2, 0], [0, 9, 15, 57, 245, 7, 399, 35, 103, 20, 6, 0], [0, 9, 15, 58, 238, 28, 364, 70, 82, 27, 5, 0], [0, 9, 15, 59, 231, 49, 329, 105, 61, 34, 4, 0], [0, 9, 15, 60, 224, 70, 294, 140, 40, 41, 3, 0], [0, 9, 15, 61, 217, 91, 259, 175, 19, 48, 2, 0], [0, 9, 16, 52, 252, 14, 364, 84, 68, 33, 4, 0], [0, 9, 16, 53, 245, 35, 329, 119, 47, 40, 3, 0], [0, 9, 16, 54, 238, 56, 294, 154, 26, 47, 2, 0], [0, 9, 16, 55, 231, 77, 259, 189, 5, 54, 1, 0], [0, 9, 17, 46, 266, 0, 364, 98, 54, 39, 3, 0], [0, 9, 17, 47, 259, 21, 329, 133, 33, 46, 2, 0], [0, 9, 17, 48, 252, 42, 294, 168, 12, 53, 1, 0], [0, 9, 18, 41, 273, 7, 329, 147, 19, 52, 1, 0], [0, 10, 0, 126, 96, 168, 336, 0, 144, 14, 0, 2], [0, 10, 0, 127, 90, 182, 322, 0, 158, 0, 6, 1], [0, 10, 0, 128, 83, 203, 287, 35, 137, 7, 5, 1], [0, 10, 0, 129, 76, 224, 252, 70, 116, 14, 4, 1], [0, 10, 0, 130, 69, 245, 217, 105, 95, 21, 3, 1], [0, 10, 0, 130, 70, 238, 238, 70, 130, 0, 10, 0], [0, 10, 0, 131, 62, 266, 182, 140, 74, 28, 2, 1], [0, 10, 0, 131, 63, 259, 203, 105, 109, 7, 9, 0], [0, 10, 0, 132, 55, 287, 147, 175, 53, 35, 1, 1], [0, 10, 0, 132, 56, 280, 168, 140, 88, 14, 8, 0], [0, 10, 0, 133, 48, 308, 112, 210, 32, 42, 0, 1], [0, 10, 0, 133, 49, 301, 133, 175, 67, 21, 7, 0], [0, 10, 0, 134, 42, 322, 98, 210, 46, 28, 6, 0], [0, 10, 0, 135, 35, 343, 63, 245, 25, 35, 5, 0], [0, 10, 0, 136, 28, 364, 28, 280, 4, 42, 4, 0], [0, 10, 1, 121, 104, 168, 322, 14, 144, 6, 5, 1], [0, 10, 1, 122, 97, 189, 287, 49, 123, 13, 4, 1], [0, 10, 1, 123, 90, 210, 252, 84, 102, 20, 3, 1], [0, 10, 1, 124, 83, 231, 217, 119, 81, 27, 2, 1], [0, 10, 1, 124, 84, 224, 238, 84, 116, 6, 9, 0], [0, 10, 1, 125, 76, 252, 182, 154, 60, 34, 1, 1], [0, 10, 1, 125, 77, 245, 203, 119, 95, 13, 8, 0], [0, 10, 1, 126, 69, 273, 147, 189, 39, 41, 0, 1], [0, 10, 1, 126, 70, 266, 168, 154, 74, 20, 7, 0], [0, 10, 1, 127, 63, 287, 133, 189, 53, 27, 6, 0], [0, 10, 1, 128, 56, 308, 98, 224, 32, 34, 5, 0], [0, 10, 1, 129, 49, 329, 63, 259, 11, 41, 4, 0], [0, 10, 2, 115, 118, 154, 322, 28, 130, 12, 4, 1], [0, 10, 2, 116, 111, 175, 287, 63, 109, 19, 3, 1], [0, 10, 2, 117, 104, 196, 252, 98, 88, 26, 2, 1], [0, 10, 2, 117, 105, 189, 273, 63, 123, 5, 9, 0], [0, 10, 2, 118, 97, 217, 217, 133, 67, 33, 1, 1], [0, 10, 2, 118, 98, 210, 238, 98, 102, 12, 8, 0], [0, 10, 2, 119, 90, 238, 182, 168, 46, 40, 0, 1], [0, 10, 2, 119, 91, 231, 203, 133, 81, 19, 7, 0], [0, 10, 2, 120, 84, 252, 168, 168, 60, 26, 6, 0], [0, 10, 2, 121, 77, 273, 133, 203, 39, 33, 5, 0], [0, 10, 2, 122, 70, 294, 98, 238, 18, 40, 4, 0], [0, 10, 3, 108, 139, 119, 357, 7, 137, 11, 4, 1], [0, 10, 3, 109, 132, 140, 322, 42, 116, 18, 3, 1], [0, 10, 3, 110, 125, 161, 287, 77, 95, 25, 2, 1], [0, 10, 3, 110, 126, 154, 308, 42, 130, 4, 9, 0], [0, 10, 3, 111, 118, 182, 252, 112, 74, 32, 1, 1], [0, 10, 3, 111, 119, 175, 273, 77, 109, 11, 8, 0], [0, 10, 3, 112, 111, 203, 217, 147, 53, 39, 0, 1], [0, 10, 3, 112, 112, 196, 238, 112, 88, 18, 7, 0], [0, 10, 3, 113, 105, 217, 203, 147, 67, 25, 6, 0], [0, 10, 3, 114, 98, 238, 168, 182, 46, 32, 5, 0], [0, 10, 3, 115, 91, 259, 133, 217, 25, 39, 4, 0], [0, 10, 3, 116, 84, 280, 98, 252, 4, 46, 3, 0], [0, 10, 4, 102, 153, 105, 357, 21, 123, 17, 3, 1], [0, 10, 4, 103, 146, 126, 322, 56, 102, 24, 2, 1], [0, 10, 4, 103, 147, 119, 343, 21, 137, 3, 9, 0], [0, 10, 4, 104, 139, 147, 287, 91, 81, 31, 1, 1], [0, 10, 4, 104, 140, 140, 308, 56, 116, 10, 8, 0], [0, 10, 4, 105, 132, 168, 252, 126, 60, 38, 0, 1], [0, 10, 4, 105, 133, 161, 273, 91, 95, 17, 7, 0], [0, 10, 4, 106, 126, 182, 238, 126, 74, 24, 6, 0], [0, 10, 4, 107, 119, 203, 203, 161, 53, 31, 5, 0], [0, 10, 4, 108, 112, 224, 168, 196, 32, 38, 4, 0], [0, 10, 4, 109, 105, 245, 133, 231, 11, 45, 3, 0], [0, 10, 5, 95, 174, 70, 392, 0, 130, 16, 3, 1], [0, 10, 5, 96, 167, 91, 357, 35, 109, 23, 2, 1], [0, 10, 5, 96, 168, 84, 378, 0, 144, 2, 9, 0], [0, 10, 5, 97, 160, 112, 322, 70, 88, 30, 1, 1], [0, 10, 5, 97, 161, 105, 343, 35, 123, 9, 8, 0], [0, 10, 5, 98, 153, 133, 287, 105, 67, 37, 0, 1], [0, 10, 5, 98, 154, 126, 308, 70, 102, 16, 7, 0], [0, 10, 5, 99, 147, 147, 273, 105, 81, 23, 6, 0], [0, 10, 5, 100, 140, 168, 238, 140, 60, 30, 5, 0], [0, 10, 5, 101, 133, 189, 203, 175, 39, 37, 4, 0], [0, 10, 5, 102, 126, 210, 168, 210, 18, 44, 3, 0], [0, 10, 6, 89, 188, 56, 392, 14, 116, 22, 2, 1], [0, 10, 6, 90, 181, 77, 357, 49, 95, 29, 1, 1], [0, 10, 6, 90, 182, 70, 378, 14, 130, 8, 8, 0], [0, 10, 6, 91, 174, 98, 322, 84, 74, 36, 0, 1], [0, 10, 6, 91, 175, 91, 343, 49, 109, 15, 7, 0], [0, 10, 6, 92, 168, 112, 308, 84, 88, 22, 6, 0], [0, 10, 6, 93, 161, 133, 273, 119, 67, 29, 5, 0], [0, 10, 6, 94, 154, 154, 238, 154, 46, 36, 4, 0], [0, 10, 6, 95, 147, 175, 203, 189, 25, 43, 3, 0], [0, 10, 6, 96, 140, 196, 168, 224, 4, 50, 2, 0], [0, 10, 7, 83, 202, 42, 392, 28, 102, 28, 1, 1], [0, 10, 7, 84, 195, 63, 357, 63, 81, 35, 0, 1], [0, 10, 7, 84, 196, 56, 378, 28, 116, 14, 7, 0], [0, 10, 7, 85, 189, 77, 343, 63, 95, 21, 6, 0], [0, 10, 7, 86, 182, 98, 308, 98, 74, 28, 5, 0], [0, 10, 7, 87, 175, 119, 273, 133, 53, 35, 4, 0], [0, 10, 7, 88, 168, 140, 238, 168, 32, 42, 3, 0], [0, 10, 7, 89, 161, 161, 203, 203, 11, 49, 2, 0], [0, 10, 8, 76, 223, 7, 427, 7, 109, 27, 1, 1], [0, 10, 8, 77, 216, 28, 392, 42, 88, 34, 0, 1], [0, 10, 8, 77, 217, 21, 413, 7, 123, 13, 7, 0], [0, 10, 8, 78, 210, 42, 378, 42, 102, 20, 6, 0], [0, 10, 8, 79, 203, 63, 343, 77, 81, 27, 5, 0], [0, 10, 8, 80, 196, 84, 308, 112, 60, 34, 4, 0], [0, 10, 8, 81, 189, 105, 273, 147, 39, 41, 3, 0], [0, 10, 8, 82, 182, 126, 238, 182, 18, 48, 2, 0], [0, 10, 9, 71, 231, 7, 413, 21, 109, 19, 6, 0], [0, 10, 9, 72, 224, 28, 378, 56, 88, 26, 5, 0], [0, 10, 9, 73, 217, 49, 343, 91, 67, 33, 4, 0], [0, 10, 9, 74, 210, 70, 308, 126, 46, 40, 3, 0], [0, 10, 9, 75, 203, 91, 273, 161, 25, 47, 2, 0], [0, 10, 9, 76, 196, 112, 238, 196, 4, 54, 1, 0], [0, 10, 10, 66, 238, 14, 378, 70, 74, 32, 4, 0], [0, 10, 10, 67, 231, 35, 343, 105, 53, 39, 3, 0], [0, 10, 10, 68, 224, 56, 308, 140, 32, 46, 2, 0], [0, 10, 10, 69, 217, 77, 273, 175, 11, 53, 1, 0], [0, 10, 11, 60, 252, 0, 378, 84, 60, 38, 3, 0], [0, 10, 11, 61, 245, 21, 343, 119, 39, 45, 2, 0], [0, 10, 11, 62, 238, 42, 308, 154, 18, 52, 1, 0], [0, 10, 12, 55, 259, 7, 343, 133, 25, 51, 1, 0], [0, 10, 12, 56, 252, 28, 308, 168, 4, 58, 0, 0], [0, 11, 0, 103, 174, 56, 406, 0, 122, 21, 2, 1], [0, 11, 0, 104, 167, 77, 371, 35, 101, 28, 1, 1], [0, 11, 0, 104, 168, 70, 392, 0, 136, 7, 8, 0], [0, 11, 0, 105, 160, 98, 336, 70, 80, 35, 0, 1], [0, 11, 0, 105, 161, 91, 357, 35, 115, 14, 7, 0], [0, 11, 0, 106, 154, 112, 322, 70, 94, 21, 6, 0], [0, 11, 0, 107, 147, 133, 287, 105, 73, 28, 5, 0], [0, 11, 0, 108, 140, 154, 252, 140, 52, 35, 4, 0], [0, 11, 0, 109, 133, 175, 217, 175, 31, 42, 3, 0], [0, 11, 0, 110, 126, 196, 182, 210, 10, 49, 2, 0], [0, 11, 1, 97, 188, 42, 406, 14, 108, 27, 1, 1], [0, 11, 1, 98, 181, 63, 371, 49, 87, 34, 0, 1], [0, 11, 1, 98, 182, 56, 392, 14, 122, 13, 7, 0], [0, 11, 1, 99, 175, 77, 357, 49, 101, 20, 6, 0], [0, 11, 1, 100, 168, 98, 322, 84, 80, 27, 5, 0], [0, 11, 1, 101, 161, 119, 287, 119, 59, 34, 4, 0], [0, 11, 1, 102, 154, 140, 252, 154, 38, 41, 3, 0], [0, 11, 1, 103, 147, 161, 217, 189, 17, 48, 2, 0], [0, 11, 2, 91, 202, 28, 406, 28, 94, 33, 0, 1], [0, 11, 2, 92, 196, 42, 392, 28, 108, 19, 6, 0], [0, 11, 2, 93, 189, 63, 357, 63, 87, 26, 5, 0], [0, 11, 2, 94, 182, 84, 322, 98, 66, 33, 4, 0], [0, 11, 2, 95, 175, 105, 287, 133, 45, 40, 3, 0], [0, 11, 2, 96, 168, 126, 252, 168, 24, 47, 2, 0], [0, 11, 2, 97, 161, 147, 217, 203, 3, 54, 1, 0], [0, 11, 3, 85, 217, 7, 427, 7, 115, 18, 6, 0], [0, 11, 3, 86, 210, 28, 392, 42, 94, 25, 5, 0], [0, 11, 3, 87, 203, 49, 357, 77, 73, 32, 4, 0], [0, 11, 3, 88, 196, 70, 322, 112, 52, 39, 3, 0], [0, 11, 3, 89, 189, 91, 287, 147, 31, 46, 2, 0], [0, 11, 3, 90, 182, 112, 252, 182, 10, 53, 1, 0], [0, 11, 4, 80, 224, 14, 392, 56, 80, 31, 4, 0], [0, 11, 4, 81, 217, 35, 357, 91, 59, 38, 3, 0], [0, 11, 4, 82, 210, 56, 322, 126, 38, 45, 2, 0], [0, 11, 4, 83, 203, 77, 287, 161, 17, 52, 1, 0], [0, 11, 5, 74, 238, 0, 392, 70, 66, 37, 3, 0], [0, 11, 5, 75, 231, 21, 357, 105, 45, 44, 2, 0], [0, 11, 5, 76, 224, 42, 322, 140, 24, 51, 1, 0], [0, 11, 5, 77, 217, 63, 287, 175, 3, 58, 0, 0], [0, 11, 6, 69, 245, 7, 357, 119, 31, 50, 1, 0], [0, 11, 6, 70, 238, 28, 322, 154, 10, 57, 0, 0], [0, 12, 0, 83, 231, 7, 371, 105, 37, 49, 1, 0], [0, 12, 0, 84, 224, 28, 336, 140, 16, 56, 0, 0]}