------- (12, 960, 6) ALL distance distributions for INTERNAL point (6, 960, 6) has 1 possible DDs: {[15, 90, 225, 300, 225, 90, 15]} (7, 960, 6) has 15 possible DDs: {[1, 98, 21, 490, 35, 294, 7, 14], [2, 91, 42, 455, 70, 273, 14, 13], [3, 84, 63, 420, 105, 252, 21, 12], [4, 77, 84, 385, 140, 231, 28, 11], [5, 70, 105, 350, 175, 210, 35, 10], [6, 63, 126, 315, 210, 189, 42, 9], [7, 56, 147, 280, 245, 168, 49, 8], [8, 49, 168, 245, 280, 147, 56, 7], [9, 42, 189, 210, 315, 126, 63, 6], [10, 35, 210, 175, 350, 105, 70, 5], [11, 28, 231, 140, 385, 84, 77, 4], [12, 21, 252, 105, 420, 63, 84, 3], [13, 14, 273, 70, 455, 42, 91, 2], [14, 7, 294, 35, 490, 21, 98, 1], [15, 0, 315, 0, 525, 0, 105, 0]} (8, 960, 6) has 65 possible DDs: {[1, 45, 77, 217, 315, 119, 175, 3, 8], [1, 46, 70, 238, 280, 154, 154, 10, 7], [1, 47, 63, 259, 245, 189, 133, 17, 6], [1, 48, 56, 280, 210, 224, 112, 24, 5], [1, 49, 49, 301, 175, 259, 91, 31, 4], [1, 50, 42, 322, 140, 294, 70, 38, 3], [1, 51, 35, 343, 105, 329, 49, 45, 2], [1, 52, 28, 364, 70, 364, 28, 52, 1], [1, 53, 21, 385, 35, 399, 7, 59, 0], [2, 38, 98, 182, 350, 98, 182, 2, 8], [2, 39, 91, 203, 315, 133, 161, 9, 7], [2, 40, 84, 224, 280, 168, 140, 16, 6], [2, 41, 77, 245, 245, 203, 119, 23, 5], [2, 42, 70, 266, 210, 238, 98, 30, 4], [2, 43, 63, 287, 175, 273, 77, 37, 3], [2, 44, 56, 308, 140, 308, 56, 44, 2], [2, 45, 49, 329, 105, 343, 35, 51, 1], [2, 46, 42, 350, 70, 378, 14, 58, 0], [3, 31, 119, 147, 385, 77, 189, 1, 8], [3, 32, 112, 168, 350, 112, 168, 8, 7], [3, 33, 105, 189, 315, 147, 147, 15, 6], [3, 34, 98, 210, 280, 182, 126, 22, 5], [3, 35, 91, 231, 245, 217, 105, 29, 4], [3, 36, 84, 252, 210, 252, 84, 36, 3], [3, 37, 77, 273, 175, 287, 63, 43, 2], [3, 38, 70, 294, 140, 322, 42, 50, 1], [3, 39, 63, 315, 105, 357, 21, 57, 0], [4, 24, 140, 112, 420, 56, 196, 0, 8], [4, 25, 133, 133, 385, 91, 175, 7, 7], [4, 26, 126, 154, 350, 126, 154, 14, 6], [4, 27, 119, 175, 315, 161, 133, 21, 5], [4, 28, 112, 196, 280, 196, 112, 28, 4], [4, 29, 105, 217, 245, 231, 91, 35, 3], [4, 30, 98, 238, 210, 266, 70, 42, 2], [4, 31, 91, 259, 175, 301, 49, 49, 1], [4, 32, 84, 280, 140, 336, 28, 56, 0], [5, 18, 154, 98, 420, 70, 182, 6, 7], [5, 19, 147, 119, 385, 105, 161, 13, 6], [5, 20, 140, 140, 350, 140, 140, 20, 5], [5, 21, 133, 161, 315, 175, 119, 27, 4], [5, 22, 126, 182, 280, 210, 98, 34, 3], [5, 23, 119, 203, 245, 245, 77, 41, 2], [5, 24, 112, 224, 210, 280, 56, 48, 1], [5, 25, 105, 245, 175, 315, 35, 55, 0], [6, 11, 175, 63, 455, 49, 189, 5, 7], [6, 12, 168, 84, 420, 84, 168, 12, 6], [6, 13, 161, 105, 385, 119, 147, 19, 5], [6, 14, 154, 126, 350, 154, 126, 26, 4], [6, 15, 147, 147, 315, 189, 105, 33, 3], [6, 16, 140, 168, 280, 224, 84, 40, 2], [6, 17, 133, 189, 245, 259, 63, 47, 1], [6, 18, 126, 210, 210, 294, 42, 54, 0], [7, 4, 196, 28, 490, 28, 196, 4, 7], [7, 5, 189, 49, 455, 63, 175, 11, 6], [7, 6, 182, 70, 420, 98, 154, 18, 5], [7, 7, 175, 91, 385, 133, 133, 25, 4], [7, 8, 168, 112, 350, 168, 112, 32, 3], [7, 9, 161, 133, 315, 203, 91, 39, 2], [7, 10, 154, 154, 280, 238, 70, 46, 1], [7, 11, 147, 175, 245, 273, 49, 53, 0], [8, 0, 196, 56, 420, 112, 140, 24, 4], [8, 1, 189, 77, 385, 147, 119, 31, 3], [8, 2, 182, 98, 350, 182, 98, 38, 2], [8, 3, 175, 119, 315, 217, 77, 45, 1], [8, 4, 168, 140, 280, 252, 56, 52, 0]} (9, 960, 6) has 271 possible DDs: {[1, 13, 116, 0, 490, 14, 252, 64, 5, 5], [1, 14, 109, 21, 455, 49, 231, 71, 4, 5], [1, 14, 110, 14, 476, 14, 266, 50, 11, 4], [1, 15, 102, 42, 420, 84, 210, 78, 3, 5], [1, 15, 103, 35, 441, 49, 245, 57, 10, 4], [1, 15, 104, 28, 462, 14, 280, 36, 17, 3], [1, 16, 95, 63, 385, 119, 189, 85, 2, 5], [1, 16, 96, 56, 406, 84, 224, 64, 9, 4], [1, 16, 97, 49, 427, 49, 259, 43, 16, 3], [1, 16, 98, 42, 448, 14, 294, 22, 23, 2], [1, 17, 88, 84, 350, 154, 168, 92, 1, 5], [1, 17, 89, 77, 371, 119, 203, 71, 8, 4], [1, 17, 90, 70, 392, 84, 238, 50, 15, 3], [1, 17, 91, 63, 413, 49, 273, 29, 22, 2], [1, 17, 92, 56, 434, 14, 308, 8, 29, 1], [1, 18, 81, 105, 315, 189, 147, 99, 0, 5], [1, 18, 82, 98, 336, 154, 182, 78, 7, 4], [1, 18, 83, 91, 357, 119, 217, 57, 14, 3], [1, 18, 84, 84, 378, 84, 252, 36, 21, 2], [1, 18, 85, 77, 399, 49, 287, 15, 28, 1], [1, 19, 75, 119, 301, 189, 161, 85, 6, 4], [1, 19, 76, 112, 322, 154, 196, 64, 13, 3], [1, 19, 77, 105, 343, 119, 231, 43, 20, 2], [1, 19, 78, 98, 364, 84, 266, 22, 27, 1], [1, 19, 79, 91, 385, 49, 301, 1, 34, 0], [1, 20, 68, 140, 266, 224, 140, 92, 5, 4], [1, 20, 69, 133, 287, 189, 175, 71, 12, 3], [1, 20, 70, 126, 308, 154, 210, 50, 19, 2], [1, 20, 71, 119, 329, 119, 245, 29, 26, 1], [1, 20, 72, 112, 350, 84, 280, 8, 33, 0], [1, 21, 61, 161, 231, 259, 119, 99, 4, 4], [1, 21, 62, 154, 252, 224, 154, 78, 11, 3], [1, 21, 63, 147, 273, 189, 189, 57, 18, 2], [1, 21, 64, 140, 294, 154, 224, 36, 25, 1], [1, 21, 65, 133, 315, 119, 259, 15, 32, 0], [1, 22, 54, 182, 196, 294, 98, 106, 3, 4], [1, 22, 55, 175, 217, 259, 133, 85, 10, 3], [1, 22, 56, 168, 238, 224, 168, 64, 17, 2], [1, 22, 57, 161, 259, 189, 203, 43, 24, 1], [1, 22, 58, 154, 280, 154, 238, 22, 31, 0], [1, 23, 47, 203, 161, 329, 77, 113, 2, 4], [1, 23, 48, 196, 182, 294, 112, 92, 9, 3], [1, 23, 49, 189, 203, 259, 147, 71, 16, 2], [1, 23, 50, 182, 224, 224, 182, 50, 23, 1], [1, 23, 51, 175, 245, 189, 217, 29, 30, 0], [1, 24, 40, 224, 126, 364, 56, 120, 1, 4], [1, 24, 41, 217, 147, 329, 91, 99, 8, 3], [1, 24, 42, 210, 168, 294, 126, 78, 15, 2], [1, 24, 43, 203, 189, 259, 161, 57, 22, 1], [1, 24, 44, 196, 210, 224, 196, 36, 29, 0], [1, 25, 33, 245, 91, 399, 35, 127, 0, 4], [1, 25, 34, 238, 112, 364, 70, 106, 7, 3], [1, 25, 35, 231, 133, 329, 105, 85, 14, 2], [1, 25, 36, 224, 154, 294, 140, 64, 21, 1], [1, 25, 37, 217, 175, 259, 175, 43, 28, 0], [1, 26, 27, 259, 77, 399, 49, 113, 6, 3], [1, 26, 28, 252, 98, 364, 84, 92, 13, 2], [1, 26, 29, 245, 119, 329, 119, 71, 20, 1], [1, 26, 30, 238, 140, 294, 154, 50, 27, 0], [1, 27, 20, 280, 42, 434, 28, 120, 5, 3], [1, 27, 21, 273, 63, 399, 63, 99, 12, 2], [1, 27, 22, 266, 84, 364, 98, 78, 19, 1], [1, 27, 23, 259, 105, 329, 133, 57, 26, 0], [1, 28, 13, 301, 7, 469, 7, 127, 4, 3], [1, 28, 14, 294, 28, 434, 42, 106, 11, 2], [1, 28, 15, 287, 49, 399, 77, 85, 18, 1], [1, 28, 16, 280, 70, 364, 112, 64, 25, 0], [1, 29, 8, 308, 14, 434, 56, 92, 17, 1], [1, 29, 9, 301, 35, 399, 91, 71, 24, 0], [1, 30, 2, 322, 0, 434, 70, 78, 23, 0], [2, 8, 123, 7, 455, 63, 217, 77, 3, 5], [2, 8, 124, 0, 476, 28, 252, 56, 10, 4], [2, 9, 116, 28, 420, 98, 196, 84, 2, 5], [2, 9, 117, 21, 441, 63, 231, 63, 9, 4], [2, 9, 118, 14, 462, 28, 266, 42, 16, 3], [2, 10, 109, 49, 385, 133, 175, 91, 1, 5], [2, 10, 110, 42, 406, 98, 210, 70, 8, 4], [2, 10, 111, 35, 427, 63, 245, 49, 15, 3], [2, 10, 112, 28, 448, 28, 280, 28, 22, 2], [2, 11, 102, 70, 350, 168, 154, 98, 0, 5], [2, 11, 103, 63, 371, 133, 189, 77, 7, 4], [2, 11, 104, 56, 392, 98, 224, 56, 14, 3], [2, 11, 105, 49, 413, 63, 259, 35, 21, 2], [2, 11, 106, 42, 434, 28, 294, 14, 28, 1], [2, 12, 96, 84, 336, 168, 168, 84, 6, 4], [2, 12, 97, 77, 357, 133, 203, 63, 13, 3], [2, 12, 98, 70, 378, 98, 238, 42, 20, 2], [2, 12, 99, 63, 399, 63, 273, 21, 27, 1], [2, 12, 100, 56, 420, 28, 308, 0, 34, 0], [2, 13, 89, 105, 301, 203, 147, 91, 5, 4], [2, 13, 90, 98, 322, 168, 182, 70, 12, 3], [2, 13, 91, 91, 343, 133, 217, 49, 19, 2], [2, 13, 92, 84, 364, 98, 252, 28, 26, 1], [2, 13, 93, 77, 385, 63, 287, 7, 33, 0], [2, 14, 82, 126, 266, 238, 126, 98, 4, 4], [2, 14, 83, 119, 287, 203, 161, 77, 11, 3], [2, 14, 84, 112, 308, 168, 196, 56, 18, 2], [2, 14, 85, 105, 329, 133, 231, 35, 25, 1], [2, 14, 86, 98, 350, 98, 266, 14, 32, 0], [2, 15, 75, 147, 231, 273, 105, 105, 3, 4], [2, 15, 76, 140, 252, 238, 140, 84, 10, 3], [2, 15, 77, 133, 273, 203, 175, 63, 17, 2], [2, 15, 78, 126, 294, 168, 210, 42, 24, 1], [2, 15, 79, 119, 315, 133, 245, 21, 31, 0], [2, 16, 68, 168, 196, 308, 84, 112, 2, 4], [2, 16, 69, 161, 217, 273, 119, 91, 9, 3], [2, 16, 70, 154, 238, 238, 154, 70, 16, 2], [2, 16, 71, 147, 259, 203, 189, 49, 23, 1], [2, 16, 72, 140, 280, 168, 224, 28, 30, 0], [2, 17, 61, 189, 161, 343, 63, 119, 1, 4], [2, 17, 62, 182, 182, 308, 98, 98, 8, 3], [2, 17, 63, 175, 203, 273, 133, 77, 15, 2], [2, 17, 64, 168, 224, 238, 168, 56, 22, 1], [2, 17, 65, 161, 245, 203, 203, 35, 29, 0], [2, 18, 54, 210, 126, 378, 42, 126, 0, 4], [2, 18, 55, 203, 147, 343, 77, 105, 7, 3], [2, 18, 56, 196, 168, 308, 112, 84, 14, 2], [2, 18, 57, 189, 189, 273, 147, 63, 21, 1], [2, 18, 58, 182, 210, 238, 182, 42, 28, 0], [2, 19, 48, 224, 112, 378, 56, 112, 6, 3], [2, 19, 49, 217, 133, 343, 91, 91, 13, 2], [2, 19, 50, 210, 154, 308, 126, 70, 20, 1], [2, 19, 51, 203, 175, 273, 161, 49, 27, 0], [2, 20, 41, 245, 77, 413, 35, 119, 5, 3], [2, 20, 42, 238, 98, 378, 70, 98, 12, 2], [2, 20, 43, 231, 119, 343, 105, 77, 19, 1], [2, 20, 44, 224, 140, 308, 140, 56, 26, 0], [2, 21, 34, 266, 42, 448, 14, 126, 4, 3], [2, 21, 35, 259, 63, 413, 49, 105, 11, 2], [2, 21, 36, 252, 84, 378, 84, 84, 18, 1], [2, 21, 37, 245, 105, 343, 119, 63, 25, 0], [2, 22, 28, 280, 28, 448, 28, 112, 10, 2], [2, 22, 29, 273, 49, 413, 63, 91, 17, 1], [2, 22, 30, 266, 70, 378, 98, 70, 24, 0], [2, 23, 22, 294, 14, 448, 42, 98, 16, 1], [2, 23, 23, 287, 35, 413, 77, 77, 23, 0], [2, 24, 16, 308, 0, 448, 56, 84, 22, 0], [3, 3, 130, 14, 420, 112, 182, 90, 1, 5], [3, 3, 131, 7, 441, 77, 217, 69, 8, 4], [3, 3, 132, 0, 462, 42, 252, 48, 15, 3], [3, 4, 123, 35, 385, 147, 161, 97, 0, 5], [3, 4, 124, 28, 406, 112, 196, 76, 7, 4], [3, 4, 125, 21, 427, 77, 231, 55, 14, 3], [3, 4, 126, 14, 448, 42, 266, 34, 21, 2], [3, 4, 127, 7, 469, 7, 301, 13, 28, 1], [3, 5, 117, 49, 371, 147, 175, 83, 6, 4], [3, 5, 118, 42, 392, 112, 210, 62, 13, 3], [3, 5, 119, 35, 413, 77, 245, 41, 20, 2], [3, 5, 120, 28, 434, 42, 280, 20, 27, 1], [3, 6, 110, 70, 336, 182, 154, 90, 5, 4], [3, 6, 111, 63, 357, 147, 189, 69, 12, 3], [3, 6, 112, 56, 378, 112, 224, 48, 19, 2], [3, 6, 113, 49, 399, 77, 259, 27, 26, 1], [3, 6, 114, 42, 420, 42, 294, 6, 33, 0], [3, 7, 103, 91, 301, 217, 133, 97, 4, 4], [3, 7, 104, 84, 322, 182, 168, 76, 11, 3], [3, 7, 105, 77, 343, 147, 203, 55, 18, 2], [3, 7, 106, 70, 364, 112, 238, 34, 25, 1], [3, 7, 107, 63, 385, 77, 273, 13, 32, 0], [3, 8, 96, 112, 266, 252, 112, 104, 3, 4], [3, 8, 97, 105, 287, 217, 147, 83, 10, 3], [3, 8, 98, 98, 308, 182, 182, 62, 17, 2], [3, 8, 99, 91, 329, 147, 217, 41, 24, 1], [3, 8, 100, 84, 350, 112, 252, 20, 31, 0], [3, 9, 89, 133, 231, 287, 91, 111, 2, 4], [3, 9, 90, 126, 252, 252, 126, 90, 9, 3], [3, 9, 91, 119, 273, 217, 161, 69, 16, 2], [3, 9, 92, 112, 294, 182, 196, 48, 23, 1], [3, 9, 93, 105, 315, 147, 231, 27, 30, 0], [3, 10, 82, 154, 196, 322, 70, 118, 1, 4], [3, 10, 83, 147, 217, 287, 105, 97, 8, 3], [3, 10, 84, 140, 238, 252, 140, 76, 15, 2], [3, 10, 85, 133, 259, 217, 175, 55, 22, 1], [3, 10, 86, 126, 280, 182, 210, 34, 29, 0], [3, 11, 75, 175, 161, 357, 49, 125, 0, 4], [3, 11, 76, 168, 182, 322, 84, 104, 7, 3], [3, 11, 77, 161, 203, 287, 119, 83, 14, 2], [3, 11, 78, 154, 224, 252, 154, 62, 21, 1], [3, 11, 79, 147, 245, 217, 189, 41, 28, 0], [3, 12, 69, 189, 147, 357, 63, 111, 6, 3], [3, 12, 70, 182, 168, 322, 98, 90, 13, 2], [3, 12, 71, 175, 189, 287, 133, 69, 20, 1], [3, 12, 72, 168, 210, 252, 168, 48, 27, 0], [3, 13, 62, 210, 112, 392, 42, 118, 5, 3], [3, 13, 63, 203, 133, 357, 77, 97, 12, 2], [3, 13, 64, 196, 154, 322, 112, 76, 19, 1], [3, 13, 65, 189, 175, 287, 147, 55, 26, 0], [3, 14, 55, 231, 77, 427, 21, 125, 4, 3], [3, 14, 56, 224, 98, 392, 56, 104, 11, 2], [3, 14, 57, 217, 119, 357, 91, 83, 18, 1], [3, 14, 58, 210, 140, 322, 126, 62, 25, 0], [3, 15, 48, 252, 42, 462, 0, 132, 3, 3], [3, 15, 49, 245, 63, 427, 35, 111, 10, 2], [3, 15, 50, 238, 84, 392, 70, 90, 17, 1], [3, 15, 51, 231, 105, 357, 105, 69, 24, 0], [3, 16, 42, 266, 28, 462, 14, 118, 9, 2], [3, 16, 43, 259, 49, 427, 49, 97, 16, 1], [3, 16, 44, 252, 70, 392, 84, 76, 23, 0], [3, 17, 36, 280, 14, 462, 28, 104, 15, 1], [3, 17, 37, 273, 35, 427, 63, 83, 22, 0], [3, 18, 30, 294, 0, 462, 42, 90, 21, 0], [4, 0, 124, 56, 336, 196, 140, 96, 4, 4], [4, 0, 125, 49, 357, 161, 175, 75, 11, 3], [4, 0, 126, 42, 378, 126, 210, 54, 18, 2], [4, 0, 127, 35, 399, 91, 245, 33, 25, 1], [4, 0, 128, 28, 420, 56, 280, 12, 32, 0], [4, 1, 117, 77, 301, 231, 119, 103, 3, 4], [4, 1, 118, 70, 322, 196, 154, 82, 10, 3], [4, 1, 119, 63, 343, 161, 189, 61, 17, 2], [4, 1, 120, 56, 364, 126, 224, 40, 24, 1], [4, 1, 121, 49, 385, 91, 259, 19, 31, 0], [4, 2, 110, 98, 266, 266, 98, 110, 2, 4], [4, 2, 111, 91, 287, 231, 133, 89, 9, 3], [4, 2, 112, 84, 308, 196, 168, 68, 16, 2], [4, 2, 113, 77, 329, 161, 203, 47, 23, 1], [4, 2, 114, 70, 350, 126, 238, 26, 30, 0], [4, 3, 103, 119, 231, 301, 77, 117, 1, 4], [4, 3, 104, 112, 252, 266, 112, 96, 8, 3], [4, 3, 105, 105, 273, 231, 147, 75, 15, 2], [4, 3, 106, 98, 294, 196, 182, 54, 22, 1], [4, 3, 107, 91, 315, 161, 217, 33, 29, 0], [4, 4, 96, 140, 196, 336, 56, 124, 0, 4], [4, 4, 97, 133, 217, 301, 91, 103, 7, 3], [4, 4, 98, 126, 238, 266, 126, 82, 14, 2], [4, 4, 99, 119, 259, 231, 161, 61, 21, 1], [4, 4, 100, 112, 280, 196, 196, 40, 28, 0], [4, 5, 90, 154, 182, 336, 70, 110, 6, 3], [4, 5, 91, 147, 203, 301, 105, 89, 13, 2], [4, 5, 92, 140, 224, 266, 140, 68, 20, 1], [4, 5, 93, 133, 245, 231, 175, 47, 27, 0], [4, 6, 83, 175, 147, 371, 49, 117, 5, 3], [4, 6, 84, 168, 168, 336, 84, 96, 12, 2], [4, 6, 85, 161, 189, 301, 119, 75, 19, 1], [4, 6, 86, 154, 210, 266, 154, 54, 26, 0], [4, 7, 76, 196, 112, 406, 28, 124, 4, 3], [4, 7, 77, 189, 133, 371, 63, 103, 11, 2], [4, 7, 78, 182, 154, 336, 98, 82, 18, 1], [4, 7, 79, 175, 175, 301, 133, 61, 25, 0], [4, 8, 69, 217, 77, 441, 7, 131, 3, 3], [4, 8, 70, 210, 98, 406, 42, 110, 10, 2], [4, 8, 71, 203, 119, 371, 77, 89, 17, 1], [4, 8, 72, 196, 140, 336, 112, 68, 24, 0], [4, 9, 63, 231, 63, 441, 21, 117, 9, 2], [4, 9, 64, 224, 84, 406, 56, 96, 16, 1], [4, 9, 65, 217, 105, 371, 91, 75, 23, 0], [4, 10, 56, 252, 28, 476, 0, 124, 8, 2], [4, 10, 57, 245, 49, 441, 35, 103, 15, 1], [4, 10, 58, 238, 70, 406, 70, 82, 22, 0], [4, 11, 50, 266, 14, 476, 14, 110, 14, 1], [4, 11, 51, 259, 35, 441, 49, 89, 21, 0], [4, 12, 44, 280, 0, 476, 28, 96, 20, 0], [5, 0, 97, 161, 147, 385, 35, 123, 4, 3], [5, 0, 98, 154, 168, 350, 70, 102, 11, 2], [5, 0, 99, 147, 189, 315, 105, 81, 18, 1], [5, 0, 100, 140, 210, 280, 140, 60, 25, 0], [5, 1, 90, 182, 112, 420, 14, 130, 3, 3], [5, 1, 91, 175, 133, 385, 49, 109, 10, 2], [5, 1, 92, 168, 154, 350, 84, 88, 17, 1], [5, 1, 93, 161, 175, 315, 119, 67, 24, 0], [5, 2, 84, 196, 98, 420, 28, 116, 9, 2], [5, 2, 85, 189, 119, 385, 63, 95, 16, 1], [5, 2, 86, 182, 140, 350, 98, 74, 23, 0], [5, 3, 77, 217, 63, 455, 7, 123, 8, 2], [5, 3, 78, 210, 84, 420, 42, 102, 15, 1], [5, 3, 79, 203, 105, 385, 77, 81, 22, 0], [5, 4, 71, 231, 49, 455, 21, 109, 14, 1], [5, 4, 72, 224, 70, 420, 56, 88, 21, 0], [5, 5, 64, 252, 14, 490, 0, 116, 13, 1], [5, 5, 65, 245, 35, 455, 35, 95, 20, 0], [5, 6, 58, 266, 0, 490, 14, 102, 19, 0], [6, 0, 72, 252, 0, 504, 0, 108, 18, 0]} (10, 960, 6) has 898 possible DDs: {[1, 0, 92, 18, 238, 350, 0, 238, 17, 2, 4], [1, 0, 93, 11, 259, 315, 35, 217, 24, 1, 4], [1, 0, 93, 12, 252, 336, 0, 252, 3, 8, 3], [1, 0, 94, 4, 280, 280, 70, 196, 31, 0, 4], [1, 0, 94, 5, 273, 301, 35, 231, 10, 7, 3], [1, 1, 86, 32, 224, 350, 14, 224, 23, 1, 4], [1, 1, 87, 25, 245, 315, 49, 203, 30, 0, 4], [1, 1, 87, 26, 238, 336, 14, 238, 9, 7, 3], [1, 1, 88, 19, 259, 301, 49, 217, 16, 6, 3], [1, 1, 89, 12, 280, 266, 84, 196, 23, 5, 3], [1, 1, 89, 13, 273, 287, 49, 231, 2, 12, 2], [1, 1, 90, 5, 301, 231, 119, 175, 30, 4, 3], [1, 1, 90, 6, 294, 252, 84, 210, 9, 11, 2], [1, 2, 80, 46, 210, 350, 28, 210, 29, 0, 4], [1, 2, 81, 40, 224, 336, 28, 224, 15, 6, 3], [1, 2, 82, 33, 245, 301, 63, 203, 22, 5, 3], [1, 2, 82, 34, 238, 322, 28, 238, 1, 12, 2], [1, 2, 83, 26, 266, 266, 98, 182, 29, 4, 3], [1, 2, 83, 27, 259, 287, 63, 217, 8, 11, 2], [1, 2, 84, 19, 287, 231, 133, 161, 36, 3, 3], [1, 2, 84, 20, 280, 252, 98, 196, 15, 10, 2], [1, 2, 85, 12, 308, 196, 168, 140, 43, 2, 3], [1, 2, 85, 13, 301, 217, 133, 175, 22, 9, 2], [1, 2, 85, 14, 294, 238, 98, 210, 1, 16, 1], [1, 2, 86, 5, 329, 161, 203, 119, 50, 1, 3], [1, 2, 86, 6, 322, 182, 168, 154, 29, 8, 2], [1, 2, 86, 7, 315, 203, 133, 189, 8, 15, 1], [1, 2, 87, 0, 336, 168, 168, 168, 15, 14, 1], [1, 3, 73, 67, 175, 385, 7, 217, 28, 0, 4], [1, 3, 74, 61, 189, 371, 7, 231, 14, 6, 3], [1, 3, 75, 54, 210, 336, 42, 210, 21, 5, 3], [1, 3, 75, 55, 203, 357, 7, 245, 0, 12, 2], [1, 3, 76, 47, 231, 301, 77, 189, 28, 4, 3], [1, 3, 76, 48, 224, 322, 42, 224, 7, 11, 2], [1, 3, 77, 40, 252, 266, 112, 168, 35, 3, 3], [1, 3, 77, 41, 245, 287, 77, 203, 14, 10, 2], [1, 3, 78, 33, 273, 231, 147, 147, 42, 2, 3], [1, 3, 78, 34, 266, 252, 112, 182, 21, 9, 2], [1, 3, 78, 35, 259, 273, 77, 217, 0, 16, 1], [1, 3, 79, 26, 294, 196, 182, 126, 49, 1, 3], [1, 3, 79, 27, 287, 217, 147, 161, 28, 8, 2], [1, 3, 79, 28, 280, 238, 112, 196, 7, 15, 1], [1, 3, 80, 19, 315, 161, 217, 105, 56, 0, 3], [1, 3, 80, 20, 308, 182, 182, 140, 35, 7, 2], [1, 3, 80, 21, 301, 203, 147, 175, 14, 14, 1], [1, 3, 81, 13, 329, 147, 217, 119, 42, 6, 2], [1, 3, 81, 14, 322, 168, 182, 154, 21, 13, 1], [1, 3, 81, 15, 315, 189, 147, 189, 0, 20, 0], [1, 3, 82, 6, 350, 112, 252, 98, 49, 5, 2], [1, 3, 82, 7, 343, 133, 217, 133, 28, 12, 1], [1, 3, 82, 8, 336, 154, 182, 168, 7, 19, 0], [1, 3, 83, 0, 364, 98, 252, 112, 35, 11, 1], [1, 3, 83, 1, 357, 119, 217, 147, 14, 18, 0], [1, 4, 68, 75, 175, 371, 21, 217, 20, 5, 3], [1, 4, 69, 68, 196, 336, 56, 196, 27, 4, 3], [1, 4, 69, 69, 189, 357, 21, 231, 6, 11, 2], [1, 4, 70, 61, 217, 301, 91, 175, 34, 3, 3], [1, 4, 70, 62, 210, 322, 56, 210, 13, 10, 2], [1, 4, 71, 54, 238, 266, 126, 154, 41, 2, 3], [1, 4, 71, 55, 231, 287, 91, 189, 20, 9, 2], [1, 4, 72, 47, 259, 231, 161, 133, 48, 1, 3], [1, 4, 72, 48, 252, 252, 126, 168, 27, 8, 2], [1, 4, 72, 49, 245, 273, 91, 203, 6, 15, 1], [1, 4, 73, 40, 280, 196, 196, 112, 55, 0, 3], [1, 4, 73, 41, 273, 217, 161, 147, 34, 7, 2], [1, 4, 73, 42, 266, 238, 126, 182, 13, 14, 1], [1, 4, 74, 34, 294, 182, 196, 126, 41, 6, 2], [1, 4, 74, 35, 287, 203, 161, 161, 20, 13, 1], [1, 4, 75, 27, 315, 147, 231, 105, 48, 5, 2], [1, 4, 75, 28, 308, 168, 196, 140, 27, 12, 1], [1, 4, 75, 29, 301, 189, 161, 175, 6, 19, 0], [1, 4, 76, 20, 336, 112, 266, 84, 55, 4, 2], [1, 4, 76, 21, 329, 133, 231, 119, 34, 11, 1], [1, 4, 76, 22, 322, 154, 196, 154, 13, 18, 0], [1, 4, 77, 13, 357, 77, 301, 63, 62, 3, 2], [1, 4, 77, 14, 350, 98, 266, 98, 41, 10, 1], [1, 4, 77, 15, 343, 119, 231, 133, 20, 17, 0], [1, 4, 78, 6, 378, 42, 336, 42, 69, 2, 2], [1, 4, 78, 7, 371, 63, 301, 77, 48, 9, 1], [1, 4, 78, 8, 364, 84, 266, 112, 27, 16, 0], [1, 4, 79, 0, 392, 28, 336, 56, 55, 8, 1], [1, 4, 79, 1, 385, 49, 301, 91, 34, 15, 0], [1, 5, 61, 96, 140, 406, 0, 224, 19, 5, 3], [1, 5, 62, 89, 161, 371, 35, 203, 26, 4, 3], [1, 5, 62, 90, 154, 392, 0, 238, 5, 11, 2], [1, 5, 63, 82, 182, 336, 70, 182, 33, 3, 3], [1, 5, 63, 83, 175, 357, 35, 217, 12, 10, 2], [1, 5, 64, 75, 203, 301, 105, 161, 40, 2, 3], [1, 5, 64, 76, 196, 322, 70, 196, 19, 9, 2], [1, 5, 65, 68, 224, 266, 140, 140, 47, 1, 3], [1, 5, 65, 69, 217, 287, 105, 175, 26, 8, 2], [1, 5, 65, 70, 210, 308, 70, 210, 5, 15, 1], [1, 5, 66, 61, 245, 231, 175, 119, 54, 0, 3], [1, 5, 66, 62, 238, 252, 140, 154, 33, 7, 2], [1, 5, 66, 63, 231, 273, 105, 189, 12, 14, 1], [1, 5, 67, 55, 259, 217, 175, 133, 40, 6, 2], [1, 5, 67, 56, 252, 238, 140, 168, 19, 13, 1], [1, 5, 68, 48, 280, 182, 210, 112, 47, 5, 2], [1, 5, 68, 49, 273, 203, 175, 147, 26, 12, 1], [1, 5, 68, 50, 266, 224, 140, 182, 5, 19, 0], [1, 5, 69, 41, 301, 147, 245, 91, 54, 4, 2], [1, 5, 69, 42, 294, 168, 210, 126, 33, 11, 1], [1, 5, 69, 43, 287, 189, 175, 161, 12, 18, 0], [1, 5, 70, 34, 322, 112, 280, 70, 61, 3, 2], [1, 5, 70, 35, 315, 133, 245, 105, 40, 10, 1], [1, 5, 70, 36, 308, 154, 210, 140, 19, 17, 0], [1, 5, 71, 27, 343, 77, 315, 49, 68, 2, 2], [1, 5, 71, 28, 336, 98, 280, 84, 47, 9, 1], [1, 5, 71, 29, 329, 119, 245, 119, 26, 16, 0], [1, 5, 72, 20, 364, 42, 350, 28, 75, 1, 2], [1, 5, 72, 21, 357, 63, 315, 63, 54, 8, 1], [1, 5, 72, 22, 350, 84, 280, 98, 33, 15, 0], [1, 5, 73, 13, 385, 7, 385, 7, 82, 0, 2], [1, 5, 73, 14, 378, 28, 350, 42, 61, 7, 1], [1, 5, 73, 15, 371, 49, 315, 77, 40, 14, 0], [1, 5, 74, 8, 392, 14, 350, 56, 47, 13, 0], [1, 6, 55, 110, 126, 406, 14, 210, 25, 4, 3], [1, 6, 56, 103, 147, 371, 49, 189, 32, 3, 3], [1, 6, 56, 104, 140, 392, 14, 224, 11, 10, 2], [1, 6, 57, 96, 168, 336, 84, 168, 39, 2, 3], [1, 6, 57, 97, 161, 357, 49, 203, 18, 9, 2], [1, 6, 58, 89, 189, 301, 119, 147, 46, 1, 3], [1, 6, 58, 90, 182, 322, 84, 182, 25, 8, 2], [1, 6, 58, 91, 175, 343, 49, 217, 4, 15, 1], [1, 6, 59, 82, 210, 266, 154, 126, 53, 0, 3], [1, 6, 59, 83, 203, 287, 119, 161, 32, 7, 2], [1, 6, 59, 84, 196, 308, 84, 196, 11, 14, 1], [1, 6, 60, 76, 224, 252, 154, 140, 39, 6, 2], [1, 6, 60, 77, 217, 273, 119, 175, 18, 13, 1], [1, 6, 61, 69, 245, 217, 189, 119, 46, 5, 2], [1, 6, 61, 70, 238, 238, 154, 154, 25, 12, 1], [1, 6, 61, 71, 231, 259, 119, 189, 4, 19, 0], [1, 6, 62, 62, 266, 182, 224, 98, 53, 4, 2], [1, 6, 62, 63, 259, 203, 189, 133, 32, 11, 1], [1, 6, 62, 64, 252, 224, 154, 168, 11, 18, 0], [1, 6, 63, 55, 287, 147, 259, 77, 60, 3, 2], [1, 6, 63, 56, 280, 168, 224, 112, 39, 10, 1], [1, 6, 63, 57, 273, 189, 189, 147, 18, 17, 0], [1, 6, 64, 48, 308, 112, 294, 56, 67, 2, 2], [1, 6, 64, 49, 301, 133, 259, 91, 46, 9, 1], [1, 6, 64, 50, 294, 154, 224, 126, 25, 16, 0], [1, 6, 65, 41, 329, 77, 329, 35, 74, 1, 2], [1, 6, 65, 42, 322, 98, 294, 70, 53, 8, 1], [1, 6, 65, 43, 315, 119, 259, 105, 32, 15, 0], [1, 6, 66, 34, 350, 42, 364, 14, 81, 0, 2], [1, 6, 66, 35, 343, 63, 329, 49, 60, 7, 1], [1, 6, 66, 36, 336, 84, 294, 84, 39, 14, 0], [1, 6, 67, 28, 364, 28, 364, 28, 67, 6, 1], [1, 6, 67, 29, 357, 49, 329, 63, 46, 13, 0], [1, 6, 68, 22, 378, 14, 364, 42, 53, 12, 0], [1, 7, 49, 124, 112, 406, 28, 196, 31, 3, 3], [1, 7, 50, 117, 133, 371, 63, 175, 38, 2, 3], [1, 7, 50, 118, 126, 392, 28, 210, 17, 9, 2], [1, 7, 51, 110, 154, 336, 98, 154, 45, 1, 3], [1, 7, 51, 111, 147, 357, 63, 189, 24, 8, 2], [1, 7, 51, 112, 140, 378, 28, 224, 3, 15, 1], [1, 7, 52, 103, 175, 301, 133, 133, 52, 0, 3], [1, 7, 52, 104, 168, 322, 98, 168, 31, 7, 2], [1, 7, 52, 105, 161, 343, 63, 203, 10, 14, 1], [1, 7, 53, 97, 189, 287, 133, 147, 38, 6, 2], [1, 7, 53, 98, 182, 308, 98, 182, 17, 13, 1], [1, 7, 54, 90, 210, 252, 168, 126, 45, 5, 2], [1, 7, 54, 91, 203, 273, 133, 161, 24, 12, 1], [1, 7, 54, 92, 196, 294, 98, 196, 3, 19, 0], [1, 7, 55, 83, 231, 217, 203, 105, 52, 4, 2], [1, 7, 55, 84, 224, 238, 168, 140, 31, 11, 1], [1, 7, 55, 85, 217, 259, 133, 175, 10, 18, 0], [1, 7, 56, 76, 252, 182, 238, 84, 59, 3, 2], [1, 7, 56, 77, 245, 203, 203, 119, 38, 10, 1], [1, 7, 56, 78, 238, 224, 168, 154, 17, 17, 0], [1, 7, 57, 69, 273, 147, 273, 63, 66, 2, 2], [1, 7, 57, 70, 266, 168, 238, 98, 45, 9, 1], [1, 7, 57, 71, 259, 189, 203, 133, 24, 16, 0], [1, 7, 58, 62, 294, 112, 308, 42, 73, 1, 2], [1, 7, 58, 63, 287, 133, 273, 77, 52, 8, 1], [1, 7, 58, 64, 280, 154, 238, 112, 31, 15, 0], [1, 7, 59, 55, 315, 77, 343, 21, 80, 0, 2], [1, 7, 59, 56, 308, 98, 308, 56, 59, 7, 1], [1, 7, 59, 57, 301, 119, 273, 91, 38, 14, 0], [1, 7, 60, 49, 329, 63, 343, 35, 66, 6, 1], [1, 7, 60, 50, 322, 84, 308, 70, 45, 13, 0], [1, 7, 61, 42, 350, 28, 378, 14, 73, 5, 1], [1, 7, 61, 43, 343, 49, 343, 49, 52, 12, 0], [1, 7, 62, 36, 364, 14, 378, 28, 59, 11, 0], [1, 8, 42, 145, 77, 441, 7, 203, 30, 3, 3], [1, 8, 43, 138, 98, 406, 42, 182, 37, 2, 3], [1, 8, 43, 139, 91, 427, 7, 217, 16, 9, 2], [1, 8, 44, 131, 119, 371, 77, 161, 44, 1, 3], [1, 8, 44, 132, 112, 392, 42, 196, 23, 8, 2], [1, 8, 44, 133, 105, 413, 7, 231, 2, 15, 1], [1, 8, 45, 124, 140, 336, 112, 140, 51, 0, 3], [1, 8, 45, 125, 133, 357, 77, 175, 30, 7, 2], [1, 8, 45, 126, 126, 378, 42, 210, 9, 14, 1], [1, 8, 46, 118, 154, 322, 112, 154, 37, 6, 2], [1, 8, 46, 119, 147, 343, 77, 189, 16, 13, 1], [1, 8, 47, 111, 175, 287, 147, 133, 44, 5, 2], [1, 8, 47, 112, 168, 308, 112, 168, 23, 12, 1], [1, 8, 47, 113, 161, 329, 77, 203, 2, 19, 0], [1, 8, 48, 104, 196, 252, 182, 112, 51, 4, 2], [1, 8, 48, 105, 189, 273, 147, 147, 30, 11, 1], [1, 8, 48, 106, 182, 294, 112, 182, 9, 18, 0], [1, 8, 49, 97, 217, 217, 217, 91, 58, 3, 2], [1, 8, 49, 98, 210, 238, 182, 126, 37, 10, 1], [1, 8, 49, 99, 203, 259, 147, 161, 16, 17, 0], [1, 8, 50, 90, 238, 182, 252, 70, 65, 2, 2], [1, 8, 50, 91, 231, 203, 217, 105, 44, 9, 1], [1, 8, 50, 92, 224, 224, 182, 140, 23, 16, 0], [1, 8, 51, 83, 259, 147, 287, 49, 72, 1, 2], [1, 8, 51, 84, 252, 168, 252, 84, 51, 8, 1], [1, 8, 51, 85, 245, 189, 217, 119, 30, 15, 0], [1, 8, 52, 76, 280, 112, 322, 28, 79, 0, 2], [1, 8, 52, 77, 273, 133, 287, 63, 58, 7, 1], [1, 8, 52, 78, 266, 154, 252, 98, 37, 14, 0], [1, 8, 53, 70, 294, 98, 322, 42, 65, 6, 1], [1, 8, 53, 71, 287, 119, 287, 77, 44, 13, 0], [1, 8, 54, 63, 315, 63, 357, 21, 72, 5, 1], [1, 8, 54, 64, 308, 84, 322, 56, 51, 12, 0], [1, 8, 55, 56, 336, 28, 392, 0, 79, 4, 1], [1, 8, 55, 57, 329, 49, 357, 35, 58, 11, 0], [1, 8, 56, 50, 350, 14, 392, 14, 65, 10, 0], [1, 9, 36, 159, 63, 441, 21, 189, 36, 2, 3], [1, 9, 37, 152, 84, 406, 56, 168, 43, 1, 3], [1, 9, 37, 153, 77, 427, 21, 203, 22, 8, 2], [1, 9, 38, 145, 105, 371, 91, 147, 50, 0, 3], [1, 9, 38, 146, 98, 392, 56, 182, 29, 7, 2], [1, 9, 38, 147, 91, 413, 21, 217, 8, 14, 1], [1, 9, 39, 139, 119, 357, 91, 161, 36, 6, 2], [1, 9, 39, 140, 112, 378, 56, 196, 15, 13, 1], [1, 9, 40, 132, 140, 322, 126, 140, 43, 5, 2], [1, 9, 40, 133, 133, 343, 91, 175, 22, 12, 1], [1, 9, 40, 134, 126, 364, 56, 210, 1, 19, 0], [1, 9, 41, 125, 161, 287, 161, 119, 50, 4, 2], [1, 9, 41, 126, 154, 308, 126, 154, 29, 11, 1], [1, 9, 41, 127, 147, 329, 91, 189, 8, 18, 0], [1, 9, 42, 118, 182, 252, 196, 98, 57, 3, 2], [1, 9, 42, 119, 175, 273, 161, 133, 36, 10, 1], [1, 9, 42, 120, 168, 294, 126, 168, 15, 17, 0], [1, 9, 43, 111, 203, 217, 231, 77, 64, 2, 2], [1, 9, 43, 112, 196, 238, 196, 112, 43, 9, 1], [1, 9, 43, 113, 189, 259, 161, 147, 22, 16, 0], [1, 9, 44, 104, 224, 182, 266, 56, 71, 1, 2], [1, 9, 44, 105, 217, 203, 231, 91, 50, 8, 1], [1, 9, 44, 106, 210, 224, 196, 126, 29, 15, 0], [1, 9, 45, 97, 245, 147, 301, 35, 78, 0, 2], [1, 9, 45, 98, 238, 168, 266, 70, 57, 7, 1], [1, 9, 45, 99, 231, 189, 231, 105, 36, 14, 0], [1, 9, 46, 91, 259, 133, 301, 49, 64, 6, 1], [1, 9, 46, 92, 252, 154, 266, 84, 43, 13, 0], [1, 9, 47, 84, 280, 98, 336, 28, 71, 5, 1], [1, 9, 47, 85, 273, 119, 301, 63, 50, 12, 0], [1, 9, 48, 77, 301, 63, 371, 7, 78, 4, 1], [1, 9, 48, 78, 294, 84, 336, 42, 57, 11, 0], [1, 9, 49, 71, 315, 49, 371, 21, 64, 10, 0], [1, 9, 50, 64, 336, 14, 406, 0, 71, 9, 0], [1, 10, 29, 180, 28, 476, 0, 196, 35, 2, 3], [1, 10, 30, 173, 49, 441, 35, 175, 42, 1, 3], [1, 10, 30, 174, 42, 462, 0, 210, 21, 8, 2], [1, 10, 31, 166, 70, 406, 70, 154, 49, 0, 3], [1, 10, 31, 167, 63, 427, 35, 189, 28, 7, 2], [1, 10, 31, 168, 56, 448, 0, 224, 7, 14, 1], [1, 10, 32, 160, 84, 392, 70, 168, 35, 6, 2], [1, 10, 32, 161, 77, 413, 35, 203, 14, 13, 1], [1, 10, 33, 153, 105, 357, 105, 147, 42, 5, 2], [1, 10, 33, 154, 98, 378, 70, 182, 21, 12, 1], [1, 10, 33, 155, 91, 399, 35, 217, 0, 19, 0], [1, 10, 34, 146, 126, 322, 140, 126, 49, 4, 2], [1, 10, 34, 147, 119, 343, 105, 161, 28, 11, 1], [1, 10, 34, 148, 112, 364, 70, 196, 7, 18, 0], [1, 10, 35, 139, 147, 287, 175, 105, 56, 3, 2], [1, 10, 35, 140, 140, 308, 140, 140, 35, 10, 1], [1, 10, 35, 141, 133, 329, 105, 175, 14, 17, 0], [1, 10, 36, 132, 168, 252, 210, 84, 63, 2, 2], [1, 10, 36, 133, 161, 273, 175, 119, 42, 9, 1], [1, 10, 36, 134, 154, 294, 140, 154, 21, 16, 0], [1, 10, 37, 125, 189, 217, 245, 63, 70, 1, 2], [1, 10, 37, 126, 182, 238, 210, 98, 49, 8, 1], [1, 10, 37, 127, 175, 259, 175, 133, 28, 15, 0], [1, 10, 38, 118, 210, 182, 280, 42, 77, 0, 2], [1, 10, 38, 119, 203, 203, 245, 77, 56, 7, 1], [1, 10, 38, 120, 196, 224, 210, 112, 35, 14, 0], [1, 10, 39, 112, 224, 168, 280, 56, 63, 6, 1], [1, 10, 39, 113, 217, 189, 245, 91, 42, 13, 0], [1, 10, 40, 105, 245, 133, 315, 35, 70, 5, 1], [1, 10, 40, 106, 238, 154, 280, 70, 49, 12, 0], [1, 10, 41, 98, 266, 98, 350, 14, 77, 4, 1], [1, 10, 41, 99, 259, 119, 315, 49, 56, 11, 0], [1, 10, 42, 92, 280, 84, 350, 28, 63, 10, 0], [1, 10, 43, 85, 301, 49, 385, 7, 70, 9, 0], [1, 11, 23, 194, 14, 476, 14, 182, 41, 1, 3], [1, 11, 24, 187, 35, 441, 49, 161, 48, 0, 3], [1, 11, 24, 188, 28, 462, 14, 196, 27, 7, 2], [1, 11, 25, 181, 49, 427, 49, 175, 34, 6, 2], [1, 11, 25, 182, 42, 448, 14, 210, 13, 13, 1], [1, 11, 26, 174, 70, 392, 84, 154, 41, 5, 2], [1, 11, 26, 175, 63, 413, 49, 189, 20, 12, 1], [1, 11, 27, 167, 91, 357, 119, 133, 48, 4, 2], [1, 11, 27, 168, 84, 378, 84, 168, 27, 11, 1], [1, 11, 27, 169, 77, 399, 49, 203, 6, 18, 0], [1, 11, 28, 160, 112, 322, 154, 112, 55, 3, 2], [1, 11, 28, 161, 105, 343, 119, 147, 34, 10, 1], [1, 11, 28, 162, 98, 364, 84, 182, 13, 17, 0], [1, 11, 29, 153, 133, 287, 189, 91, 62, 2, 2], [1, 11, 29, 154, 126, 308, 154, 126, 41, 9, 1], [1, 11, 29, 155, 119, 329, 119, 161, 20, 16, 0], [1, 11, 30, 146, 154, 252, 224, 70, 69, 1, 2], [1, 11, 30, 147, 147, 273, 189, 105, 48, 8, 1], [1, 11, 30, 148, 140, 294, 154, 140, 27, 15, 0], [1, 11, 31, 139, 175, 217, 259, 49, 76, 0, 2], [1, 11, 31, 140, 168, 238, 224, 84, 55, 7, 1], [1, 11, 31, 141, 161, 259, 189, 119, 34, 14, 0], [1, 11, 32, 133, 189, 203, 259, 63, 62, 6, 1], [1, 11, 32, 134, 182, 224, 224, 98, 41, 13, 0], [1, 11, 33, 126, 210, 168, 294, 42, 69, 5, 1], [1, 11, 33, 127, 203, 189, 259, 77, 48, 12, 0], [1, 11, 34, 119, 231, 133, 329, 21, 76, 4, 1], [1, 11, 34, 120, 224, 154, 294, 56, 55, 11, 0], [1, 11, 35, 112, 252, 98, 364, 0, 83, 3, 1], [1, 11, 35, 113, 245, 119, 329, 35, 62, 10, 0], [1, 11, 36, 106, 266, 84, 364, 14, 69, 9, 0], [1, 12, 17, 208, 0, 476, 28, 168, 47, 0, 3], [1, 12, 18, 202, 14, 462, 28, 182, 33, 6, 2], [1, 12, 19, 195, 35, 427, 63, 161, 40, 5, 2], [1, 12, 19, 196, 28, 448, 28, 196, 19, 12, 1], [1, 12, 20, 188, 56, 392, 98, 140, 47, 4, 2], [1, 12, 20, 189, 49, 413, 63, 175, 26, 11, 1], [1, 12, 20, 190, 42, 434, 28, 210, 5, 18, 0], [1, 12, 21, 181, 77, 357, 133, 119, 54, 3, 2], [1, 12, 21, 182, 70, 378, 98, 154, 33, 10, 1], [1, 12, 21, 183, 63, 399, 63, 189, 12, 17, 0], [1, 12, 22, 174, 98, 322, 168, 98, 61, 2, 2], [1, 12, 22, 175, 91, 343, 133, 133, 40, 9, 1], [1, 12, 22, 176, 84, 364, 98, 168, 19, 16, 0], [1, 12, 23, 167, 119, 287, 203, 77, 68, 1, 2], [1, 12, 23, 168, 112, 308, 168, 112, 47, 8, 1], [1, 12, 23, 169, 105, 329, 133, 147, 26, 15, 0], [1, 12, 24, 160, 140, 252, 238, 56, 75, 0, 2], [1, 12, 24, 161, 133, 273, 203, 91, 54, 7, 1], [1, 12, 24, 162, 126, 294, 168, 126, 33, 14, 0], [1, 12, 25, 154, 154, 238, 238, 70, 61, 6, 1], [1, 12, 25, 155, 147, 259, 203, 105, 40, 13, 0], [1, 12, 26, 147, 175, 203, 273, 49, 68, 5, 1], [1, 12, 26, 148, 168, 224, 238, 84, 47, 12, 0], [1, 12, 27, 140, 196, 168, 308, 28, 75, 4, 1], [1, 12, 27, 141, 189, 189, 273, 63, 54, 11, 0], [1, 12, 28, 133, 217, 133, 343, 7, 82, 3, 1], [1, 12, 28, 134, 210, 154, 308, 42, 61, 10, 0], [1, 12, 29, 127, 231, 119, 343, 21, 68, 9, 0], [1, 12, 30, 120, 252, 84, 378, 0, 75, 8, 0], [1, 13, 12, 216, 0, 462, 42, 168, 39, 5, 2], [1, 13, 13, 209, 21, 427, 77, 147, 46, 4, 2], [1, 13, 13, 210, 14, 448, 42, 182, 25, 11, 1], [1, 13, 13, 211, 7, 469, 7, 217, 4, 18, 0], [1, 13, 14, 202, 42, 392, 112, 126, 53, 3, 2], [1, 13, 14, 203, 35, 413, 77, 161, 32, 10, 1], [1, 13, 14, 204, 28, 434, 42, 196, 11, 17, 0], [1, 13, 15, 195, 63, 357, 147, 105, 60, 2, 2], [1, 13, 15, 196, 56, 378, 112, 140, 39, 9, 1], [1, 13, 15, 197, 49, 399, 77, 175, 18, 16, 0], [1, 13, 16, 188, 84, 322, 182, 84, 67, 1, 2], [1, 13, 16, 189, 77, 343, 147, 119, 46, 8, 1], [1, 13, 16, 190, 70, 364, 112, 154, 25, 15, 0], [1, 13, 17, 181, 105, 287, 217, 63, 74, 0, 2], [1, 13, 17, 182, 98, 308, 182, 98, 53, 7, 1], [1, 13, 17, 183, 91, 329, 147, 133, 32, 14, 0], [1, 13, 18, 175, 119, 273, 217, 77, 60, 6, 1], [1, 13, 18, 176, 112, 294, 182, 112, 39, 13, 0], [1, 13, 19, 168, 140, 238, 252, 56, 67, 5, 1], [1, 13, 19, 169, 133, 259, 217, 91, 46, 12, 0], [1, 13, 20, 161, 161, 203, 287, 35, 74, 4, 1], [1, 13, 20, 162, 154, 224, 252, 70, 53, 11, 0], [1, 13, 21, 154, 182, 168, 322, 14, 81, 3, 1], [1, 13, 21, 155, 175, 189, 287, 49, 60, 10, 0], [1, 13, 22, 148, 196, 154, 322, 28, 67, 9, 0], [1, 13, 23, 141, 217, 119, 357, 7, 74, 8, 0], [1, 14, 7, 223, 7, 427, 91, 133, 52, 3, 2], [1, 14, 7, 224, 0, 448, 56, 168, 31, 10, 1], [1, 14, 8, 216, 28, 392, 126, 112, 59, 2, 2], [1, 14, 8, 217, 21, 413, 91, 147, 38, 9, 1], [1, 14, 8, 218, 14, 434, 56, 182, 17, 16, 0], [1, 14, 9, 209, 49, 357, 161, 91, 66, 1, 2], [1, 14, 9, 210, 42, 378, 126, 126, 45, 8, 1], [1, 14, 9, 211, 35, 399, 91, 161, 24, 15, 0], [1, 14, 10, 202, 70, 322, 196, 70, 73, 0, 2], [1, 14, 10, 203, 63, 343, 161, 105, 52, 7, 1], [1, 14, 10, 204, 56, 364, 126, 140, 31, 14, 0], [1, 14, 11, 196, 84, 308, 196, 84, 59, 6, 1], [1, 14, 11, 197, 77, 329, 161, 119, 38, 13, 0], [1, 14, 12, 189, 105, 273, 231, 63, 66, 5, 1], [1, 14, 12, 190, 98, 294, 196, 98, 45, 12, 0], [1, 14, 13, 182, 126, 238, 266, 42, 73, 4, 1], [1, 14, 13, 183, 119, 259, 231, 77, 52, 11, 0], [1, 14, 14, 175, 147, 203, 301, 21, 80, 3, 1], [1, 14, 14, 176, 140, 224, 266, 56, 59, 10, 0], [1, 14, 15, 168, 168, 168, 336, 0, 87, 2, 1], [1, 14, 15, 169, 161, 189, 301, 35, 66, 9, 0], [1, 14, 16, 162, 182, 154, 336, 14, 73, 8, 0], [1, 15, 2, 230, 14, 392, 140, 98, 65, 1, 2], [1, 15, 2, 231, 7, 413, 105, 133, 44, 8, 1], [1, 15, 2, 232, 0, 434, 70, 168, 23, 15, 0], [1, 15, 3, 223, 35, 357, 175, 77, 72, 0, 2], [1, 15, 3, 224, 28, 378, 140, 112, 51, 7, 1], [1, 15, 3, 225, 21, 399, 105, 147, 30, 14, 0], [1, 15, 4, 217, 49, 343, 175, 91, 58, 6, 1], [1, 15, 4, 218, 42, 364, 140, 126, 37, 13, 0], [1, 15, 5, 210, 70, 308, 210, 70, 65, 5, 1], [1, 15, 5, 211, 63, 329, 175, 105, 44, 12, 0], [1, 15, 6, 203, 91, 273, 245, 49, 72, 4, 1], [1, 15, 6, 204, 84, 294, 210, 84, 51, 11, 0], [1, 15, 7, 196, 112, 238, 280, 28, 79, 3, 1], [1, 15, 7, 197, 105, 259, 245, 63, 58, 10, 0], [1, 15, 8, 189, 133, 203, 315, 7, 86, 2, 1], [1, 15, 8, 190, 126, 224, 280, 42, 65, 9, 0], [1, 15, 9, 183, 147, 189, 315, 21, 72, 8, 0], [1, 15, 10, 176, 168, 154, 350, 0, 79, 7, 0], [1, 16, 0, 217, 77, 273, 259, 35, 78, 3, 1], [1, 16, 0, 218, 70, 294, 224, 70, 57, 10, 0], [1, 16, 1, 210, 98, 238, 294, 14, 85, 2, 1], [1, 16, 1, 211, 91, 259, 259, 49, 64, 9, 0], [1, 16, 2, 204, 112, 224, 294, 28, 71, 8, 0], [1, 16, 3, 197, 133, 189, 329, 7, 78, 7, 0], [2, 0, 69, 96, 126, 420, 0, 216, 24, 4, 3], [2, 0, 70, 89, 147, 385, 35, 195, 31, 3, 3], [2, 0, 70, 90, 140, 406, 0, 230, 10, 10, 2], [2, 0, 71, 82, 168, 350, 70, 174, 38, 2, 3], [2, 0, 71, 83, 161, 371, 35, 209, 17, 9, 2], [2, 0, 72, 75, 189, 315, 105, 153, 45, 1, 3], [2, 0, 72, 76, 182, 336, 70, 188, 24, 8, 2], [2, 0, 72, 77, 175, 357, 35, 223, 3, 15, 1], [2, 0, 73, 68, 210, 280, 140, 132, 52, 0, 3], [2, 0, 73, 69, 203, 301, 105, 167, 31, 7, 2], [2, 0, 73, 70, 196, 322, 70, 202, 10, 14, 1], [2, 0, 74, 62, 224, 266, 140, 146, 38, 6, 2], [2, 0, 74, 63, 217, 287, 105, 181, 17, 13, 1], [2, 0, 75, 55, 245, 231, 175, 125, 45, 5, 2], [2, 0, 75, 56, 238, 252, 140, 160, 24, 12, 1], [2, 0, 75, 57, 231, 273, 105, 195, 3, 19, 0], [2, 0, 76, 48, 266, 196, 210, 104, 52, 4, 2], [2, 0, 76, 49, 259, 217, 175, 139, 31, 11, 1], [2, 0, 76, 50, 252, 238, 140, 174, 10, 18, 0], [2, 0, 77, 41, 287, 161, 245, 83, 59, 3, 2], [2, 0, 77, 42, 280, 182, 210, 118, 38, 10, 1], [2, 0, 77, 43, 273, 203, 175, 153, 17, 17, 0], [2, 0, 78, 34, 308, 126, 280, 62, 66, 2, 2], [2, 0, 78, 35, 301, 147, 245, 97, 45, 9, 1], [2, 0, 78, 36, 294, 168, 210, 132, 24, 16, 0], [2, 0, 79, 27, 329, 91, 315, 41, 73, 1, 2], [2, 0, 79, 28, 322, 112, 280, 76, 52, 8, 1], [2, 0, 79, 29, 315, 133, 245, 111, 31, 15, 0], [2, 0, 80, 20, 350, 56, 350, 20, 80, 0, 2], [2, 0, 80, 21, 343, 77, 315, 55, 59, 7, 1], [2, 0, 80, 22, 336, 98, 280, 90, 38, 14, 0], [2, 0, 81, 14, 364, 42, 350, 34, 66, 6, 1], [2, 0, 81, 15, 357, 63, 315, 69, 45, 13, 0], [2, 0, 82, 7, 385, 7, 385, 13, 73, 5, 1], [2, 0, 82, 8, 378, 28, 350, 48, 52, 12, 0], [2, 1, 63, 110, 112, 420, 14, 202, 30, 3, 3], [2, 1, 64, 103, 133, 385, 49, 181, 37, 2, 3], [2, 1, 64, 104, 126, 406, 14, 216, 16, 9, 2], [2, 1, 65, 96, 154, 350, 84, 160, 44, 1, 3], [2, 1, 65, 97, 147, 371, 49, 195, 23, 8, 2], [2, 1, 65, 98, 140, 392, 14, 230, 2, 15, 1], [2, 1, 66, 89, 175, 315, 119, 139, 51, 0, 3], [2, 1, 66, 90, 168, 336, 84, 174, 30, 7, 2], [2, 1, 66, 91, 161, 357, 49, 209, 9, 14, 1], [2, 1, 67, 83, 189, 301, 119, 153, 37, 6, 2], [2, 1, 67, 84, 182, 322, 84, 188, 16, 13, 1], [2, 1, 68, 76, 210, 266, 154, 132, 44, 5, 2], [2, 1, 68, 77, 203, 287, 119, 167, 23, 12, 1], [2, 1, 68, 78, 196, 308, 84, 202, 2, 19, 0], [2, 1, 69, 69, 231, 231, 189, 111, 51, 4, 2], [2, 1, 69, 70, 224, 252, 154, 146, 30, 11, 1], [2, 1, 69, 71, 217, 273, 119, 181, 9, 18, 0], [2, 1, 70, 62, 252, 196, 224, 90, 58, 3, 2], [2, 1, 70, 63, 245, 217, 189, 125, 37, 10, 1], [2, 1, 70, 64, 238, 238, 154, 160, 16, 17, 0], [2, 1, 71, 55, 273, 161, 259, 69, 65, 2, 2], [2, 1, 71, 56, 266, 182, 224, 104, 44, 9, 1], [2, 1, 71, 57, 259, 203, 189, 139, 23, 16, 0], [2, 1, 72, 48, 294, 126, 294, 48, 72, 1, 2], [2, 1, 72, 49, 287, 147, 259, 83, 51, 8, 1], [2, 1, 72, 50, 280, 168, 224, 118, 30, 15, 0], [2, 1, 73, 41, 315, 91, 329, 27, 79, 0, 2], [2, 1, 73, 42, 308, 112, 294, 62, 58, 7, 1], [2, 1, 73, 43, 301, 133, 259, 97, 37, 14, 0], [2, 1, 74, 35, 329, 77, 329, 41, 65, 6, 1], [2, 1, 74, 36, 322, 98, 294, 76, 44, 13, 0], [2, 1, 75, 28, 350, 42, 364, 20, 72, 5, 1], [2, 1, 75, 29, 343, 63, 329, 55, 51, 12, 0], [2, 1, 76, 22, 364, 28, 364, 34, 58, 11, 0], [2, 2, 57, 124, 98, 420, 28, 188, 36, 2, 3], [2, 2, 58, 117, 119, 385, 63, 167, 43, 1, 3], [2, 2, 58, 118, 112, 406, 28, 202, 22, 8, 2], [2, 2, 59, 110, 140, 350, 98, 146, 50, 0, 3], [2, 2, 59, 111, 133, 371, 63, 181, 29, 7, 2], [2, 2, 59, 112, 126, 392, 28, 216, 8, 14, 1], [2, 2, 60, 104, 154, 336, 98, 160, 36, 6, 2], [2, 2, 60, 105, 147, 357, 63, 195, 15, 13, 1], [2, 2, 61, 97, 175, 301, 133, 139, 43, 5, 2], [2, 2, 61, 98, 168, 322, 98, 174, 22, 12, 1], [2, 2, 61, 99, 161, 343, 63, 209, 1, 19, 0], [2, 2, 62, 90, 196, 266, 168, 118, 50, 4, 2], [2, 2, 62, 91, 189, 287, 133, 153, 29, 11, 1], [2, 2, 62, 92, 182, 308, 98, 188, 8, 18, 0], [2, 2, 63, 83, 217, 231, 203, 97, 57, 3, 2], [2, 2, 63, 84, 210, 252, 168, 132, 36, 10, 1], [2, 2, 63, 85, 203, 273, 133, 167, 15, 17, 0], [2, 2, 64, 76, 238, 196, 238, 76, 64, 2, 2], [2, 2, 64, 77, 231, 217, 203, 111, 43, 9, 1], [2, 2, 64, 78, 224, 238, 168, 146, 22, 16, 0], [2, 2, 65, 69, 259, 161, 273, 55, 71, 1, 2], [2, 2, 65, 70, 252, 182, 238, 90, 50, 8, 1], [2, 2, 65, 71, 245, 203, 203, 125, 29, 15, 0], [2, 2, 66, 62, 280, 126, 308, 34, 78, 0, 2], [2, 2, 66, 63, 273, 147, 273, 69, 57, 7, 1], [2, 2, 66, 64, 266, 168, 238, 104, 36, 14, 0], [2, 2, 67, 56, 294, 112, 308, 48, 64, 6, 1], [2, 2, 67, 57, 287, 133, 273, 83, 43, 13, 0], [2, 2, 68, 49, 315, 77, 343, 27, 71, 5, 1], [2, 2, 68, 50, 308, 98, 308, 62, 50, 12, 0], [2, 2, 69, 42, 336, 42, 378, 6, 78, 4, 1], [2, 2, 69, 43, 329, 63, 343, 41, 57, 11, 0], [2, 2, 70, 36, 350, 28, 378, 20, 64, 10, 0], [2, 3, 50, 145, 63, 455, 7, 195, 35, 2, 3], [2, 3, 51, 138, 84, 420, 42, 174, 42, 1, 3], [2, 3, 51, 139, 77, 441, 7, 209, 21, 8, 2], [2, 3, 52, 131, 105, 385, 77, 153, 49, 0, 3], [2, 3, 52, 132, 98, 406, 42, 188, 28, 7, 2], [2, 3, 52, 133, 91, 427, 7, 223, 7, 14, 1], [2, 3, 53, 125, 119, 371, 77, 167, 35, 6, 2], [2, 3, 53, 126, 112, 392, 42, 202, 14, 13, 1], [2, 3, 54, 118, 140, 336, 112, 146, 42, 5, 2], [2, 3, 54, 119, 133, 357, 77, 181, 21, 12, 1], [2, 3, 54, 120, 126, 378, 42, 216, 0, 19, 0], [2, 3, 55, 111, 161, 301, 147, 125, 49, 4, 2], [2, 3, 55, 112, 154, 322, 112, 160, 28, 11, 1], [2, 3, 55, 113, 147, 343, 77, 195, 7, 18, 0], [2, 3, 56, 104, 182, 266, 182, 104, 56, 3, 2], [2, 3, 56, 105, 175, 287, 147, 139, 35, 10, 1], [2, 3, 56, 106, 168, 308, 112, 174, 14, 17, 0], [2, 3, 57, 97, 203, 231, 217, 83, 63, 2, 2], [2, 3, 57, 98, 196, 252, 182, 118, 42, 9, 1], [2, 3, 57, 99, 189, 273, 147, 153, 21, 16, 0], [2, 3, 58, 90, 224, 196, 252, 62, 70, 1, 2], [2, 3, 58, 91, 217, 217, 217, 97, 49, 8, 1], [2, 3, 58, 92, 210, 238, 182, 132, 28, 15, 0], [2, 3, 59, 83, 245, 161, 287, 41, 77, 0, 2], [2, 3, 59, 84, 238, 182, 252, 76, 56, 7, 1], [2, 3, 59, 85, 231, 203, 217, 111, 35, 14, 0], [2, 3, 60, 77, 259, 147, 287, 55, 63, 6, 1], [2, 3, 60, 78, 252, 168, 252, 90, 42, 13, 0], [2, 3, 61, 70, 280, 112, 322, 34, 70, 5, 1], [2, 3, 61, 71, 273, 133, 287, 69, 49, 12, 0], [2, 3, 62, 63, 301, 77, 357, 13, 77, 4, 1], [2, 3, 62, 64, 294, 98, 322, 48, 56, 11, 0], [2, 3, 63, 57, 315, 63, 357, 27, 63, 10, 0], [2, 3, 64, 50, 336, 28, 392, 6, 70, 9, 0], [2, 4, 44, 159, 49, 455, 21, 181, 41, 1, 3], [2, 4, 45, 152, 70, 420, 56, 160, 48, 0, 3], [2, 4, 45, 153, 63, 441, 21, 195, 27, 7, 2], [2, 4, 46, 146, 84, 406, 56, 174, 34, 6, 2], [2, 4, 46, 147, 77, 427, 21, 209, 13, 13, 1], [2, 4, 47, 139, 105, 371, 91, 153, 41, 5, 2], [2, 4, 47, 140, 98, 392, 56, 188, 20, 12, 1], [2, 4, 48, 132, 126, 336, 126, 132, 48, 4, 2], [2, 4, 48, 133, 119, 357, 91, 167, 27, 11, 1], [2, 4, 48, 134, 112, 378, 56, 202, 6, 18, 0], [2, 4, 49, 125, 147, 301, 161, 111, 55, 3, 2], [2, 4, 49, 126, 140, 322, 126, 146, 34, 10, 1], [2, 4, 49, 127, 133, 343, 91, 181, 13, 17, 0], [2, 4, 50, 118, 168, 266, 196, 90, 62, 2, 2], [2, 4, 50, 119, 161, 287, 161, 125, 41, 9, 1], [2, 4, 50, 120, 154, 308, 126, 160, 20, 16, 0], [2, 4, 51, 111, 189, 231, 231, 69, 69, 1, 2], [2, 4, 51, 112, 182, 252, 196, 104, 48, 8, 1], [2, 4, 51, 113, 175, 273, 161, 139, 27, 15, 0], [2, 4, 52, 104, 210, 196, 266, 48, 76, 0, 2], [2, 4, 52, 105, 203, 217, 231, 83, 55, 7, 1], [2, 4, 52, 106, 196, 238, 196, 118, 34, 14, 0], [2, 4, 53, 98, 224, 182, 266, 62, 62, 6, 1], [2, 4, 53, 99, 217, 203, 231, 97, 41, 13, 0], [2, 4, 54, 91, 245, 147, 301, 41, 69, 5, 1], [2, 4, 54, 92, 238, 168, 266, 76, 48, 12, 0], [2, 4, 55, 84, 266, 112, 336, 20, 76, 4, 1], [2, 4, 55, 85, 259, 133, 301, 55, 55, 11, 0], [2, 4, 56, 78, 280, 98, 336, 34, 62, 10, 0], [2, 4, 57, 71, 301, 63, 371, 13, 69, 9, 0], [2, 5, 37, 180, 14, 490, 0, 188, 40, 1, 3], [2, 5, 38, 173, 35, 455, 35, 167, 47, 0, 3], [2, 5, 38, 174, 28, 476, 0, 202, 26, 7, 2], [2, 5, 39, 167, 49, 441, 35, 181, 33, 6, 2], [2, 5, 39, 168, 42, 462, 0, 216, 12, 13, 1], [2, 5, 40, 160, 70, 406, 70, 160, 40, 5, 2], [2, 5, 40, 161, 63, 427, 35, 195, 19, 12, 1], [2, 5, 41, 153, 91, 371, 105, 139, 47, 4, 2], [2, 5, 41, 154, 84, 392, 70, 174, 26, 11, 1], [2, 5, 41, 155, 77, 413, 35, 209, 5, 18, 0], [2, 5, 42, 146, 112, 336, 140, 118, 54, 3, 2], [2, 5, 42, 147, 105, 357, 105, 153, 33, 10, 1], [2, 5, 42, 148, 98, 378, 70, 188, 12, 17, 0], [2, 5, 43, 139, 133, 301, 175, 97, 61, 2, 2], [2, 5, 43, 140, 126, 322, 140, 132, 40, 9, 1], [2, 5, 43, 141, 119, 343, 105, 167, 19, 16, 0], [2, 5, 44, 132, 154, 266, 210, 76, 68, 1, 2], [2, 5, 44, 133, 147, 287, 175, 111, 47, 8, 1], [2, 5, 44, 134, 140, 308, 140, 146, 26, 15, 0], [2, 5, 45, 125, 175, 231, 245, 55, 75, 0, 2], [2, 5, 45, 126, 168, 252, 210, 90, 54, 7, 1], [2, 5, 45, 127, 161, 273, 175, 125, 33, 14, 0], [2, 5, 46, 119, 189, 217, 245, 69, 61, 6, 1], [2, 5, 46, 120, 182, 238, 210, 104, 40, 13, 0], [2, 5, 47, 112, 210, 182, 280, 48, 68, 5, 1], [2, 5, 47, 113, 203, 203, 245, 83, 47, 12, 0], [2, 5, 48, 105, 231, 147, 315, 27, 75, 4, 1], [2, 5, 48, 106, 224, 168, 280, 62, 54, 11, 0], [2, 5, 49, 98, 252, 112, 350, 6, 82, 3, 1], [2, 5, 49, 99, 245, 133, 315, 41, 61, 10, 0], [2, 5, 50, 92, 266, 98, 350, 20, 68, 9, 0], [2, 6, 31, 194, 0, 490, 14, 174, 46, 0, 3], [2, 6, 32, 188, 14, 476, 14, 188, 32, 6, 2], [2, 6, 33, 181, 35, 441, 49, 167, 39, 5, 2], [2, 6, 33, 182, 28, 462, 14, 202, 18, 12, 1], [2, 6, 34, 174, 56, 406, 84, 146, 46, 4, 2], [2, 6, 34, 175, 49, 427, 49, 181, 25, 11, 1], [2, 6, 34, 176, 42, 448, 14, 216, 4, 18, 0], [2, 6, 35, 167, 77, 371, 119, 125, 53, 3, 2], [2, 6, 35, 168, 70, 392, 84, 160, 32, 10, 1], [2, 6, 35, 169, 63, 413, 49, 195, 11, 17, 0], [2, 6, 36, 160, 98, 336, 154, 104, 60, 2, 2], [2, 6, 36, 161, 91, 357, 119, 139, 39, 9, 1], [2, 6, 36, 162, 84, 378, 84, 174, 18, 16, 0], [2, 6, 37, 153, 119, 301, 189, 83, 67, 1, 2], [2, 6, 37, 154, 112, 322, 154, 118, 46, 8, 1], [2, 6, 37, 155, 105, 343, 119, 153, 25, 15, 0], [2, 6, 38, 146, 140, 266, 224, 62, 74, 0, 2], [2, 6, 38, 147, 133, 287, 189, 97, 53, 7, 1], [2, 6, 38, 148, 126, 308, 154, 132, 32, 14, 0], [2, 6, 39, 140, 154, 252, 224, 76, 60, 6, 1], [2, 6, 39, 141, 147, 273, 189, 111, 39, 13, 0], [2, 6, 40, 133, 175, 217, 259, 55, 67, 5, 1], [2, 6, 40, 134, 168, 238, 224, 90, 46, 12, 0], [2, 6, 41, 126, 196, 182, 294, 34, 74, 4, 1], [2, 6, 41, 127, 189, 203, 259, 69, 53, 11, 0], [2, 6, 42, 119, 217, 147, 329, 13, 81, 3, 1], [2, 6, 42, 120, 210, 168, 294, 48, 60, 10, 0], [2, 6, 43, 113, 231, 133, 329, 27, 67, 9, 0], [2, 6, 44, 106, 252, 98, 364, 6, 74, 8, 0], [2, 7, 26, 202, 0, 476, 28, 174, 38, 5, 2], [2, 7, 27, 195, 21, 441, 63, 153, 45, 4, 2], [2, 7, 27, 196, 14, 462, 28, 188, 24, 11, 1], [2, 7, 28, 188, 42, 406, 98, 132, 52, 3, 2], [2, 7, 28, 189, 35, 427, 63, 167, 31, 10, 1], [2, 7, 28, 190, 28, 448, 28, 202, 10, 17, 0], [2, 7, 29, 181, 63, 371, 133, 111, 59, 2, 2], [2, 7, 29, 182, 56, 392, 98, 146, 38, 9, 1], [2, 7, 29, 183, 49, 413, 63, 181, 17, 16, 0], [2, 7, 30, 174, 84, 336, 168, 90, 66, 1, 2], [2, 7, 30, 175, 77, 357, 133, 125, 45, 8, 1], [2, 7, 30, 176, 70, 378, 98, 160, 24, 15, 0], [2, 7, 31, 167, 105, 301, 203, 69, 73, 0, 2], [2, 7, 31, 168, 98, 322, 168, 104, 52, 7, 1], [2, 7, 31, 169, 91, 343, 133, 139, 31, 14, 0], [2, 7, 32, 161, 119, 287, 203, 83, 59, 6, 1], [2, 7, 32, 162, 112, 308, 168, 118, 38, 13, 0], [2, 7, 33, 154, 140, 252, 238, 62, 66, 5, 1], [2, 7, 33, 155, 133, 273, 203, 97, 45, 12, 0], [2, 7, 34, 147, 161, 217, 273, 41, 73, 4, 1], [2, 7, 34, 148, 154, 238, 238, 76, 52, 11, 0], [2, 7, 35, 140, 182, 182, 308, 20, 80, 3, 1], [2, 7, 35, 141, 175, 203, 273, 55, 59, 10, 0], [2, 7, 36, 134, 196, 168, 308, 34, 66, 9, 0], [2, 7, 37, 127, 217, 133, 343, 13, 73, 8, 0], [2, 8, 21, 209, 7, 441, 77, 139, 51, 3, 2], [2, 8, 21, 210, 0, 462, 42, 174, 30, 10, 1], [2, 8, 22, 202, 28, 406, 112, 118, 58, 2, 2], [2, 8, 22, 203, 21, 427, 77, 153, 37, 9, 1], [2, 8, 22, 204, 14, 448, 42, 188, 16, 16, 0], [2, 8, 23, 195, 49, 371, 147, 97, 65, 1, 2], [2, 8, 23, 196, 42, 392, 112, 132, 44, 8, 1], [2, 8, 23, 197, 35, 413, 77, 167, 23, 15, 0], [2, 8, 24, 188, 70, 336, 182, 76, 72, 0, 2], [2, 8, 24, 189, 63, 357, 147, 111, 51, 7, 1], [2, 8, 24, 190, 56, 378, 112, 146, 30, 14, 0], [2, 8, 25, 182, 84, 322, 182, 90, 58, 6, 1], [2, 8, 25, 183, 77, 343, 147, 125, 37, 13, 0], [2, 8, 26, 175, 105, 287, 217, 69, 65, 5, 1], [2, 8, 26, 176, 98, 308, 182, 104, 44, 12, 0], [2, 8, 27, 168, 126, 252, 252, 48, 72, 4, 1], [2, 8, 27, 169, 119, 273, 217, 83, 51, 11, 0], [2, 8, 28, 161, 147, 217, 287, 27, 79, 3, 1], [2, 8, 28, 162, 140, 238, 252, 62, 58, 10, 0], [2, 8, 29, 154, 168, 182, 322, 6, 86, 2, 1], [2, 8, 29, 155, 161, 203, 287, 41, 65, 9, 0], [2, 8, 30, 148, 182, 168, 322, 20, 72, 8, 0], [2, 9, 16, 216, 14, 406, 126, 104, 64, 1, 2], [2, 9, 16, 217, 7, 427, 91, 139, 43, 8, 1], [2, 9, 16, 218, 0, 448, 56, 174, 22, 15, 0], [2, 9, 17, 209, 35, 371, 161, 83, 71, 0, 2], [2, 9, 17, 210, 28, 392, 126, 118, 50, 7, 1], [2, 9, 17, 211, 21, 413, 91, 153, 29, 14, 0], [2, 9, 18, 203, 49, 357, 161, 97, 57, 6, 1], [2, 9, 18, 204, 42, 378, 126, 132, 36, 13, 0], [2, 9, 19, 196, 70, 322, 196, 76, 64, 5, 1], [2, 9, 19, 197, 63, 343, 161, 111, 43, 12, 0], [2, 9, 20, 189, 91, 287, 231, 55, 71, 4, 1], [2, 9, 20, 190, 84, 308, 196, 90, 50, 11, 0], [2, 9, 21, 182, 112, 252, 266, 34, 78, 3, 1], [2, 9, 21, 183, 105, 273, 231, 69, 57, 10, 0], [2, 9, 22, 175, 133, 217, 301, 13, 85, 2, 1], [2, 9, 22, 176, 126, 238, 266, 48, 64, 9, 0], [2, 9, 23, 169, 147, 203, 301, 27, 71, 8, 0], [2, 9, 24, 162, 168, 168, 336, 6, 78, 7, 0], [2, 10, 10, 230, 0, 406, 140, 90, 70, 0, 2], [2, 10, 11, 224, 14, 392, 140, 104, 56, 6, 1], [2, 10, 11, 225, 7, 413, 105, 139, 35, 13, 0], [2, 10, 12, 217, 35, 357, 175, 83, 63, 5, 1], [2, 10, 12, 218, 28, 378, 140, 118, 42, 12, 0], [2, 10, 13, 210, 56, 322, 210, 62, 70, 4, 1], [2, 10, 13, 211, 49, 343, 175, 97, 49, 11, 0], [2, 10, 14, 203, 77, 287, 245, 41, 77, 3, 1], [2, 10, 14, 204, 70, 308, 210, 76, 56, 10, 0], [2, 10, 15, 196, 98, 252, 280, 20, 84, 2, 1], [2, 10, 15, 197, 91, 273, 245, 55, 63, 9, 0], [2, 10, 16, 190, 112, 238, 280, 34, 70, 8, 0], [2, 10, 17, 183, 133, 203, 315, 13, 77, 7, 0], [2, 11, 5, 238, 0, 392, 154, 90, 62, 5, 1], [2, 11, 6, 231, 21, 357, 189, 69, 69, 4, 1], [2, 11, 6, 232, 14, 378, 154, 104, 48, 11, 0], [2, 11, 7, 224, 42, 322, 224, 48, 76, 3, 1], [2, 11, 7, 225, 35, 343, 189, 83, 55, 10, 0], [2, 11, 8, 217, 63, 287, 259, 27, 83, 2, 1], [2, 11, 8, 218, 56, 308, 224, 62, 62, 9, 0], [2, 11, 9, 210, 84, 252, 294, 6, 90, 1, 1], [2, 11, 9, 211, 77, 273, 259, 41, 69, 8, 0], [2, 11, 10, 204, 98, 238, 294, 20, 76, 7, 0], [2, 12, 0, 245, 7, 357, 203, 55, 75, 3, 1], [2, 12, 0, 246, 0, 378, 168, 90, 54, 10, 0], [2, 12, 1, 238, 28, 322, 238, 34, 82, 2, 1], [2, 12, 1, 239, 21, 343, 203, 69, 61, 9, 0], [2, 12, 2, 231, 49, 287, 273, 13, 89, 1, 1], [2, 12, 2, 232, 42, 308, 238, 48, 68, 8, 0], [2, 12, 3, 225, 63, 273, 273, 27, 75, 7, 0], [2, 12, 4, 218, 84, 238, 308, 6, 82, 6, 0], [3, 0, 45, 180, 0, 504, 0, 180, 45, 0, 3], [3, 0, 46, 174, 14, 490, 0, 194, 31, 6, 2], [3, 0, 47, 167, 35, 455, 35, 173, 38, 5, 2], [3, 0, 47, 168, 28, 476, 0, 208, 17, 12, 1], [3, 0, 48, 160, 56, 420, 70, 152, 45, 4, 2], [3, 0, 48, 161, 49, 441, 35, 187, 24, 11, 1], [3, 0, 48, 162, 42, 462, 0, 222, 3, 18, 0], [3, 0, 49, 153, 77, 385, 105, 131, 52, 3, 2], [3, 0, 49, 154, 70, 406, 70, 166, 31, 10, 1], [3, 0, 49, 155, 63, 427, 35, 201, 10, 17, 0], [3, 0, 50, 146, 98, 350, 140, 110, 59, 2, 2], [3, 0, 50, 147, 91, 371, 105, 145, 38, 9, 1], [3, 0, 50, 148, 84, 392, 70, 180, 17, 16, 0], [3, 0, 51, 139, 119, 315, 175, 89, 66, 1, 2], [3, 0, 51, 140, 112, 336, 140, 124, 45, 8, 1], [3, 0, 51, 141, 105, 357, 105, 159, 24, 15, 0], [3, 0, 52, 132, 140, 280, 210, 68, 73, 0, 2], [3, 0, 52, 133, 133, 301, 175, 103, 52, 7, 1], [3, 0, 52, 134, 126, 322, 140, 138, 31, 14, 0], [3, 0, 53, 126, 154, 266, 210, 82, 59, 6, 1], [3, 0, 53, 127, 147, 287, 175, 117, 38, 13, 0], [3, 0, 54, 119, 175, 231, 245, 61, 66, 5, 1], [3, 0, 54, 120, 168, 252, 210, 96, 45, 12, 0], [3, 0, 55, 112, 196, 196, 280, 40, 73, 4, 1], [3, 0, 55, 113, 189, 217, 245, 75, 52, 11, 0], [3, 0, 56, 105, 217, 161, 315, 19, 80, 3, 1], [3, 0, 56, 106, 210, 182, 280, 54, 59, 10, 0], [3, 0, 57, 99, 231, 147, 315, 33, 66, 9, 0], [3, 0, 58, 92, 252, 112, 350, 12, 73, 8, 0], [3, 1, 40, 188, 0, 490, 14, 180, 37, 5, 2], [3, 1, 41, 181, 21, 455, 49, 159, 44, 4, 2], [3, 1, 41, 182, 14, 476, 14, 194, 23, 11, 1], [3, 1, 42, 174, 42, 420, 84, 138, 51, 3, 2], [3, 1, 42, 175, 35, 441, 49, 173, 30, 10, 1], [3, 1, 42, 176, 28, 462, 14, 208, 9, 17, 0], [3, 1, 43, 167, 63, 385, 119, 117, 58, 2, 2], [3, 1, 43, 168, 56, 406, 84, 152, 37, 9, 1], [3, 1, 43, 169, 49, 427, 49, 187, 16, 16, 0], [3, 1, 44, 160, 84, 350, 154, 96, 65, 1, 2], [3, 1, 44, 161, 77, 371, 119, 131, 44, 8, 1], [3, 1, 44, 162, 70, 392, 84, 166, 23, 15, 0], [3, 1, 45, 153, 105, 315, 189, 75, 72, 0, 2], [3, 1, 45, 154, 98, 336, 154, 110, 51, 7, 1], [3, 1, 45, 155, 91, 357, 119, 145, 30, 14, 0], [3, 1, 46, 147, 119, 301, 189, 89, 58, 6, 1], [3, 1, 46, 148, 112, 322, 154, 124, 37, 13, 0], [3, 1, 47, 140, 140, 266, 224, 68, 65, 5, 1], [3, 1, 47, 141, 133, 287, 189, 103, 44, 12, 0], [3, 1, 48, 133, 161, 231, 259, 47, 72, 4, 1], [3, 1, 48, 134, 154, 252, 224, 82, 51, 11, 0], [3, 1, 49, 126, 182, 196, 294, 26, 79, 3, 1], [3, 1, 49, 127, 175, 217, 259, 61, 58, 10, 0], [3, 1, 50, 119, 203, 161, 329, 5, 86, 2, 1], [3, 1, 50, 120, 196, 182, 294, 40, 65, 9, 0], [3, 1, 51, 113, 217, 147, 329, 19, 72, 8, 0], [3, 2, 35, 195, 7, 455, 63, 145, 50, 3, 2], [3, 2, 35, 196, 0, 476, 28, 180, 29, 10, 1], [3, 2, 36, 188, 28, 420, 98, 124, 57, 2, 2], [3, 2, 36, 189, 21, 441, 63, 159, 36, 9, 1], [3, 2, 36, 190, 14, 462, 28, 194, 15, 16, 0], [3, 2, 37, 181, 49, 385, 133, 103, 64, 1, 2], [3, 2, 37, 182, 42, 406, 98, 138, 43, 8, 1], [3, 2, 37, 183, 35, 427, 63, 173, 22, 15, 0], [3, 2, 38, 174, 70, 350, 168, 82, 71, 0, 2], [3, 2, 38, 175, 63, 371, 133, 117, 50, 7, 1], [3, 2, 38, 176, 56, 392, 98, 152, 29, 14, 0], [3, 2, 39, 168, 84, 336, 168, 96, 57, 6, 1], [3, 2, 39, 169, 77, 357, 133, 131, 36, 13, 0], [3, 2, 40, 161, 105, 301, 203, 75, 64, 5, 1], [3, 2, 40, 162, 98, 322, 168, 110, 43, 12, 0], [3, 2, 41, 154, 126, 266, 238, 54, 71, 4, 1], [3, 2, 41, 155, 119, 287, 203, 89, 50, 11, 0], [3, 2, 42, 147, 147, 231, 273, 33, 78, 3, 1], [3, 2, 42, 148, 140, 252, 238, 68, 57, 10, 0], [3, 2, 43, 140, 168, 196, 308, 12, 85, 2, 1], [3, 2, 43, 141, 161, 217, 273, 47, 64, 9, 0], [3, 2, 44, 134, 182, 182, 308, 26, 71, 8, 0], [3, 2, 45, 127, 203, 147, 343, 5, 78, 7, 0], [3, 3, 30, 202, 14, 420, 112, 110, 63, 1, 2], [3, 3, 30, 203, 7, 441, 77, 145, 42, 8, 1], [3, 3, 30, 204, 0, 462, 42, 180, 21, 15, 0], [3, 3, 31, 195, 35, 385, 147, 89, 70, 0, 2], [3, 3, 31, 196, 28, 406, 112, 124, 49, 7, 1], [3, 3, 31, 197, 21, 427, 77, 159, 28, 14, 0], [3, 3, 32, 189, 49, 371, 147, 103, 56, 6, 1], [3, 3, 32, 190, 42, 392, 112, 138, 35, 13, 0], [3, 3, 33, 182, 70, 336, 182, 82, 63, 5, 1], [3, 3, 33, 183, 63, 357, 147, 117, 42, 12, 0], [3, 3, 34, 175, 91, 301, 217, 61, 70, 4, 1], [3, 3, 34, 176, 84, 322, 182, 96, 49, 11, 0], [3, 3, 35, 168, 112, 266, 252, 40, 77, 3, 1], [3, 3, 35, 169, 105, 287, 217, 75, 56, 10, 0], [3, 3, 36, 161, 133, 231, 287, 19, 84, 2, 1], [3, 3, 36, 162, 126, 252, 252, 54, 63, 9, 0], [3, 3, 37, 155, 147, 217, 287, 33, 70, 8, 0], [3, 3, 38, 148, 168, 182, 322, 12, 77, 7, 0], [3, 4, 24, 216, 0, 420, 126, 96, 69, 0, 2], [3, 4, 25, 210, 14, 406, 126, 110, 55, 6, 1], [3, 4, 25, 211, 7, 427, 91, 145, 34, 13, 0], [3, 4, 26, 203, 35, 371, 161, 89, 62, 5, 1], [3, 4, 26, 204, 28, 392, 126, 124, 41, 12, 0], [3, 4, 27, 196, 56, 336, 196, 68, 69, 4, 1], [3, 4, 27, 197, 49, 357, 161, 103, 48, 11, 0], [3, 4, 28, 189, 77, 301, 231, 47, 76, 3, 1], [3, 4, 28, 190, 70, 322, 196, 82, 55, 10, 0], [3, 4, 29, 182, 98, 266, 266, 26, 83, 2, 1], [3, 4, 29, 183, 91, 287, 231, 61, 62, 9, 0], [3, 4, 30, 175, 119, 231, 301, 5, 90, 1, 1], [3, 4, 30, 176, 112, 252, 266, 40, 69, 8, 0], [3, 4, 31, 169, 133, 217, 301, 19, 76, 7, 0], [3, 5, 19, 224, 0, 406, 140, 96, 61, 5, 1], [3, 5, 20, 217, 21, 371, 175, 75, 68, 4, 1], [3, 5, 20, 218, 14, 392, 140, 110, 47, 11, 0], [3, 5, 21, 210, 42, 336, 210, 54, 75, 3, 1], [3, 5, 21, 211, 35, 357, 175, 89, 54, 10, 0], [3, 5, 22, 203, 63, 301, 245, 33, 82, 2, 1], [3, 5, 22, 204, 56, 322, 210, 68, 61, 9, 0], [3, 5, 23, 196, 84, 266, 280, 12, 89, 1, 1], [3, 5, 23, 197, 77, 287, 245, 47, 68, 8, 0], [3, 5, 24, 190, 98, 252, 280, 26, 75, 7, 0], [3, 5, 25, 183, 119, 217, 315, 5, 82, 6, 0], [3, 6, 14, 231, 7, 371, 189, 61, 74, 3, 1], [3, 6, 14, 232, 0, 392, 154, 96, 53, 10, 0], [3, 6, 15, 224, 28, 336, 224, 40, 81, 2, 1], [3, 6, 15, 225, 21, 357, 189, 75, 60, 9, 0], [3, 6, 16, 217, 49, 301, 259, 19, 88, 1, 1], [3, 6, 16, 218, 42, 322, 224, 54, 67, 8, 0], [3, 6, 17, 211, 63, 287, 259, 33, 74, 7, 0], [3, 6, 18, 204, 84, 252, 294, 12, 81, 6, 0], [3, 7, 9, 238, 14, 336, 238, 26, 87, 1, 1], [3, 7, 9, 239, 7, 357, 203, 61, 66, 8, 0], [3, 7, 10, 231, 35, 301, 273, 5, 94, 0, 1], [3, 7, 10, 232, 28, 322, 238, 40, 73, 7, 0], [3, 7, 11, 225, 49, 287, 273, 19, 80, 6, 0], [3, 8, 3, 252, 0, 336, 252, 12, 93, 0, 1], [3, 8, 4, 246, 14, 322, 252, 26, 79, 6, 0], [3, 8, 5, 239, 35, 287, 287, 5, 86, 5, 0], [4, 0, 28, 217, 7, 385, 175, 67, 73, 3, 1], [4, 0, 28, 218, 0, 406, 140, 102, 52, 10, 0], [4, 0, 29, 210, 28, 350, 210, 46, 80, 2, 1], [4, 0, 29, 211, 21, 371, 175, 81, 59, 9, 0], [4, 0, 30, 203, 49, 315, 245, 25, 87, 1, 1], [4, 0, 30, 204, 42, 336, 210, 60, 66, 8, 0], [4, 0, 31, 196, 70, 280, 280, 4, 94, 0, 1], [4, 0, 31, 197, 63, 301, 245, 39, 73, 7, 0], [4, 0, 32, 190, 84, 266, 280, 18, 80, 6, 0], [4, 1, 23, 224, 14, 350, 224, 32, 86, 1, 1], [4, 1, 23, 225, 7, 371, 189, 67, 65, 8, 0], [4, 1, 24, 217, 35, 315, 259, 11, 93, 0, 1], [4, 1, 24, 218, 28, 336, 224, 46, 72, 7, 0], [4, 1, 25, 211, 49, 301, 259, 25, 79, 6, 0], [4, 1, 26, 204, 70, 266, 294, 4, 86, 5, 0], [4, 2, 17, 238, 0, 350, 238, 18, 92, 0, 1], [4, 2, 18, 232, 14, 336, 238, 32, 78, 6, 0], [4, 2, 19, 225, 35, 301, 273, 11, 85, 5, 0], [4, 3, 12, 246, 0, 336, 252, 18, 84, 5, 0]} (11, 960, 6) has 2444 possible DDs: {[1, 0, 33, 114, 15, 399, 147, 87, 156, 5, 0, 3], [1, 0, 34, 107, 36, 364, 182, 66, 163, 4, 0, 3], [1, 0, 34, 110, 16, 420, 98, 136, 135, 4, 4, 2], [1, 0, 34, 111, 9, 441, 63, 171, 114, 11, 3, 2], [1, 0, 34, 112, 2, 462, 28, 206, 93, 18, 2, 2], [1, 0, 35, 100, 57, 329, 217, 45, 170, 3, 0, 3], [1, 0, 35, 103, 37, 385, 133, 115, 142, 3, 4, 2], [1, 0, 35, 104, 30, 406, 98, 150, 121, 10, 3, 2], [1, 0, 35, 105, 23, 427, 63, 185, 100, 17, 2, 2], [1, 0, 35, 106, 16, 448, 28, 220, 79, 24, 1, 2], [1, 0, 35, 106, 17, 441, 49, 185, 114, 3, 8, 1], [1, 0, 35, 107, 10, 462, 14, 220, 93, 10, 7, 1], [1, 0, 36, 93, 78, 294, 252, 24, 177, 2, 0, 3], [1, 0, 36, 96, 58, 350, 168, 94, 149, 2, 4, 2], [1, 0, 36, 97, 51, 371, 133, 129, 128, 9, 3, 2], [1, 0, 36, 98, 44, 392, 98, 164, 107, 16, 2, 2], [1, 0, 36, 99, 37, 413, 63, 199, 86, 23, 1, 2], [1, 0, 36, 99, 38, 406, 84, 164, 121, 2, 8, 1], [1, 0, 36, 100, 30, 434, 28, 234, 65, 30, 0, 2], [1, 0, 36, 100, 31, 427, 49, 199, 100, 9, 7, 1], [1, 0, 36, 101, 24, 448, 14, 234, 79, 16, 6, 1], [1, 0, 36, 102, 18, 462, 0, 234, 93, 2, 12, 0], [1, 0, 37, 86, 99, 259, 287, 3, 184, 1, 0, 3], [1, 0, 37, 89, 79, 315, 203, 73, 156, 1, 4, 2], [1, 0, 37, 90, 72, 336, 168, 108, 135, 8, 3, 2], [1, 0, 37, 91, 65, 357, 133, 143, 114, 15, 2, 2], [1, 0, 37, 92, 58, 378, 98, 178, 93, 22, 1, 2], [1, 0, 37, 92, 59, 371, 119, 143, 128, 1, 8, 1], [1, 0, 37, 93, 51, 399, 63, 213, 72, 29, 0, 2], [1, 0, 37, 93, 52, 392, 84, 178, 107, 8, 7, 1], [1, 0, 37, 94, 45, 413, 49, 213, 86, 15, 6, 1], [1, 0, 37, 95, 38, 434, 14, 248, 65, 22, 5, 1], [1, 0, 37, 95, 39, 427, 35, 213, 100, 1, 12, 0], [1, 0, 37, 96, 32, 448, 0, 248, 79, 8, 11, 0], [1, 0, 38, 82, 100, 280, 238, 52, 163, 0, 4, 2], [1, 0, 38, 83, 93, 301, 203, 87, 142, 7, 3, 2], [1, 0, 38, 84, 86, 322, 168, 122, 121, 14, 2, 2], [1, 0, 38, 85, 79, 343, 133, 157, 100, 21, 1, 2], [1, 0, 38, 85, 80, 336, 154, 122, 135, 0, 8, 1], [1, 0, 38, 86, 72, 364, 98, 192, 79, 28, 0, 2], [1, 0, 38, 86, 73, 357, 119, 157, 114, 7, 7, 1], [1, 0, 38, 87, 66, 378, 84, 192, 93, 14, 6, 1], [1, 0, 38, 88, 59, 399, 49, 227, 72, 21, 5, 1], [1, 0, 38, 88, 60, 392, 70, 192, 107, 0, 12, 0], [1, 0, 38, 89, 52, 420, 14, 262, 51, 28, 4, 1], [1, 0, 38, 89, 53, 413, 35, 227, 86, 7, 11, 0], [1, 0, 38, 90, 46, 434, 0, 262, 65, 14, 10, 0], [1, 0, 39, 76, 114, 266, 238, 66, 149, 6, 3, 2], [1, 0, 39, 77, 107, 287, 203, 101, 128, 13, 2, 2], [1, 0, 39, 78, 100, 308, 168, 136, 107, 20, 1, 2], [1, 0, 39, 79, 93, 329, 133, 171, 86, 27, 0, 2], [1, 0, 39, 79, 94, 322, 154, 136, 121, 6, 7, 1], [1, 0, 39, 80, 87, 343, 119, 171, 100, 13, 6, 1], [1, 0, 39, 81, 80, 364, 84, 206, 79, 20, 5, 1], [1, 0, 39, 82, 73, 385, 49, 241, 58, 27, 4, 1], [1, 0, 39, 82, 74, 378, 70, 206, 93, 6, 11, 0], [1, 0, 39, 83, 66, 406, 14, 276, 37, 34, 3, 1], [1, 0, 39, 83, 67, 399, 35, 241, 72, 13, 10, 0], [1, 0, 39, 84, 60, 420, 0, 276, 51, 20, 9, 0], [1, 0, 40, 69, 135, 231, 273, 45, 156, 5, 3, 2], [1, 0, 40, 70, 128, 252, 238, 80, 135, 12, 2, 2], [1, 0, 40, 71, 121, 273, 203, 115, 114, 19, 1, 2], [1, 0, 40, 72, 114, 294, 168, 150, 93, 26, 0, 2], [1, 0, 40, 72, 115, 287, 189, 115, 128, 5, 7, 1], [1, 0, 40, 73, 108, 308, 154, 150, 107, 12, 6, 1], [1, 0, 40, 74, 101, 329, 119, 185, 86, 19, 5, 1], [1, 0, 40, 75, 94, 350, 84, 220, 65, 26, 4, 1], [1, 0, 40, 75, 95, 343, 105, 185, 100, 5, 11, 0], [1, 0, 40, 76, 87, 371, 49, 255, 44, 33, 3, 1], [1, 0, 40, 76, 88, 364, 70, 220, 79, 12, 10, 0], [1, 0, 40, 77, 80, 392, 14, 290, 23, 40, 2, 1], [1, 0, 40, 77, 81, 385, 35, 255, 58, 19, 9, 0], [1, 0, 40, 78, 74, 406, 0, 290, 37, 26, 8, 0], [1, 0, 41, 62, 156, 196, 308, 24, 163, 4, 3, 2], [1, 0, 41, 63, 149, 217, 273, 59, 142, 11, 2, 2], [1, 0, 41, 64, 142, 238, 238, 94, 121, 18, 1, 2], [1, 0, 41, 65, 135, 259, 203, 129, 100, 25, 0, 2], [1, 0, 41, 65, 136, 252, 224, 94, 135, 4, 7, 1], [1, 0, 41, 66, 129, 273, 189, 129, 114, 11, 6, 1], [1, 0, 41, 67, 122, 294, 154, 164, 93, 18, 5, 1], [1, 0, 41, 68, 115, 315, 119, 199, 72, 25, 4, 1], [1, 0, 41, 68, 116, 308, 140, 164, 107, 4, 11, 0], [1, 0, 41, 69, 108, 336, 84, 234, 51, 32, 3, 1], [1, 0, 41, 69, 109, 329, 105, 199, 86, 11, 10, 0], [1, 0, 41, 70, 101, 357, 49, 269, 30, 39, 2, 1], [1, 0, 41, 70, 102, 350, 70, 234, 65, 18, 9, 0], [1, 0, 41, 71, 94, 378, 14, 304, 9, 46, 1, 1], [1, 0, 41, 71, 95, 371, 35, 269, 44, 25, 8, 0], [1, 0, 41, 72, 88, 392, 0, 304, 23, 32, 7, 0], [1, 0, 42, 55, 177, 161, 343, 3, 170, 3, 3, 2], [1, 0, 42, 56, 170, 182, 308, 38, 149, 10, 2, 2], [1, 0, 42, 57, 163, 203, 273, 73, 128, 17, 1, 2], [1, 0, 42, 58, 156, 224, 238, 108, 107, 24, 0, 2], [1, 0, 42, 58, 157, 217, 259, 73, 142, 3, 7, 1], [1, 0, 42, 59, 150, 238, 224, 108, 121, 10, 6, 1], [1, 0, 42, 60, 143, 259, 189, 143, 100, 17, 5, 1], [1, 0, 42, 61, 136, 280, 154, 178, 79, 24, 4, 1], [1, 0, 42, 61, 137, 273, 175, 143, 114, 3, 11, 0], [1, 0, 42, 62, 129, 301, 119, 213, 58, 31, 3, 1], [1, 0, 42, 62, 130, 294, 140, 178, 93, 10, 10, 0], [1, 0, 42, 63, 122, 322, 84, 248, 37, 38, 2, 1], [1, 0, 42, 63, 123, 315, 105, 213, 72, 17, 9, 0], [1, 0, 42, 64, 115, 343, 49, 283, 16, 45, 1, 1], [1, 0, 42, 64, 116, 336, 70, 248, 51, 24, 8, 0], [1, 0, 42, 65, 109, 357, 35, 283, 30, 31, 7, 0], [1, 0, 42, 66, 102, 378, 0, 318, 9, 38, 6, 0], [1, 0, 43, 49, 191, 147, 343, 17, 156, 9, 2, 2], [1, 0, 43, 50, 184, 168, 308, 52, 135, 16, 1, 2], [1, 0, 43, 51, 177, 189, 273, 87, 114, 23, 0, 2], [1, 0, 43, 51, 178, 182, 294, 52, 149, 2, 7, 1], [1, 0, 43, 52, 171, 203, 259, 87, 128, 9, 6, 1], [1, 0, 43, 53, 164, 224, 224, 122, 107, 16, 5, 1], [1, 0, 43, 54, 157, 245, 189, 157, 86, 23, 4, 1], [1, 0, 43, 54, 158, 238, 210, 122, 121, 2, 11, 0], [1, 0, 43, 55, 150, 266, 154, 192, 65, 30, 3, 1], [1, 0, 43, 55, 151, 259, 175, 157, 100, 9, 10, 0], [1, 0, 43, 56, 143, 287, 119, 227, 44, 37, 2, 1], [1, 0, 43, 56, 144, 280, 140, 192, 79, 16, 9, 0], [1, 0, 43, 57, 136, 308, 84, 262, 23, 44, 1, 1], [1, 0, 43, 57, 137, 301, 105, 227, 58, 23, 8, 0], [1, 0, 43, 58, 129, 329, 49, 297, 2, 51, 0, 1], [1, 0, 43, 58, 130, 322, 70, 262, 37, 30, 7, 0], [1, 0, 43, 59, 123, 343, 35, 297, 16, 37, 6, 0], [1, 0, 44, 43, 205, 133, 343, 31, 142, 15, 1, 2], [1, 0, 44, 44, 198, 154, 308, 66, 121, 22, 0, 2], [1, 0, 44, 44, 199, 147, 329, 31, 156, 1, 7, 1], [1, 0, 44, 45, 192, 168, 294, 66, 135, 8, 6, 1], [1, 0, 44, 46, 185, 189, 259, 101, 114, 15, 5, 1], [1, 0, 44, 47, 178, 210, 224, 136, 93, 22, 4, 1], [1, 0, 44, 47, 179, 203, 245, 101, 128, 1, 11, 0], [1, 0, 44, 48, 171, 231, 189, 171, 72, 29, 3, 1], [1, 0, 44, 48, 172, 224, 210, 136, 107, 8, 10, 0], [1, 0, 44, 49, 164, 252, 154, 206, 51, 36, 2, 1], [1, 0, 44, 49, 165, 245, 175, 171, 86, 15, 9, 0], [1, 0, 44, 50, 157, 273, 119, 241, 30, 43, 1, 1], [1, 0, 44, 50, 158, 266, 140, 206, 65, 22, 8, 0], [1, 0, 44, 51, 150, 294, 84, 276, 9, 50, 0, 1], [1, 0, 44, 51, 151, 287, 105, 241, 44, 29, 7, 0], [1, 0, 44, 52, 144, 308, 70, 276, 23, 36, 6, 0], [1, 0, 44, 53, 137, 329, 35, 311, 2, 43, 5, 0], [1, 0, 45, 36, 226, 98, 378, 10, 149, 14, 1, 2], [1, 0, 45, 37, 219, 119, 343, 45, 128, 21, 0, 2], [1, 0, 45, 37, 220, 112, 364, 10, 163, 0, 7, 1], [1, 0, 45, 38, 213, 133, 329, 45, 142, 7, 6, 1], [1, 0, 45, 39, 206, 154, 294, 80, 121, 14, 5, 1], [1, 0, 45, 40, 199, 175, 259, 115, 100, 21, 4, 1], [1, 0, 45, 40, 200, 168, 280, 80, 135, 0, 11, 0], [1, 0, 45, 41, 192, 196, 224, 150, 79, 28, 3, 1], [1, 0, 45, 41, 193, 189, 245, 115, 114, 7, 10, 0], [1, 0, 45, 42, 185, 217, 189, 185, 58, 35, 2, 1], [1, 0, 45, 42, 186, 210, 210, 150, 93, 14, 9, 0], [1, 0, 45, 43, 178, 238, 154, 220, 37, 42, 1, 1], [1, 0, 45, 43, 179, 231, 175, 185, 72, 21, 8, 0], [1, 0, 45, 44, 171, 259, 119, 255, 16, 49, 0, 1], [1, 0, 45, 44, 172, 252, 140, 220, 51, 28, 7, 0], [1, 0, 45, 45, 165, 273, 105, 255, 30, 35, 6, 0], [1, 0, 45, 46, 158, 294, 70, 290, 9, 42, 5, 0], [1, 0, 46, 30, 240, 84, 378, 24, 135, 20, 0, 2], [1, 0, 46, 31, 234, 98, 364, 24, 149, 6, 6, 1], [1, 0, 46, 32, 227, 119, 329, 59, 128, 13, 5, 1], [1, 0, 46, 33, 220, 140, 294, 94, 107, 20, 4, 1], [1, 0, 46, 34, 213, 161, 259, 129, 86, 27, 3, 1], [1, 0, 46, 34, 214, 154, 280, 94, 121, 6, 10, 0], [1, 0, 46, 35, 206, 182, 224, 164, 65, 34, 2, 1], [1, 0, 46, 35, 207, 175, 245, 129, 100, 13, 9, 0], [1, 0, 46, 36, 199, 203, 189, 199, 44, 41, 1, 1], [1, 0, 46, 36, 200, 196, 210, 164, 79, 20, 8, 0], [1, 0, 46, 37, 192, 224, 154, 234, 23, 48, 0, 1], [1, 0, 46, 37, 193, 217, 175, 199, 58, 27, 7, 0], [1, 0, 46, 38, 186, 238, 140, 234, 37, 34, 6, 0], [1, 0, 46, 39, 179, 259, 105, 269, 16, 41, 5, 0], [1, 0, 47, 23, 261, 49, 413, 3, 142, 19, 0, 2], [1, 0, 47, 24, 255, 63, 399, 3, 156, 5, 6, 1], [1, 0, 47, 25, 248, 84, 364, 38, 135, 12, 5, 1], [1, 0, 47, 26, 241, 105, 329, 73, 114, 19, 4, 1], [1, 0, 47, 27, 234, 126, 294, 108, 93, 26, 3, 1], [1, 0, 47, 27, 235, 119, 315, 73, 128, 5, 10, 0], [1, 0, 47, 28, 227, 147, 259, 143, 72, 33, 2, 1], [1, 0, 47, 28, 228, 140, 280, 108, 107, 12, 9, 0], [1, 0, 47, 29, 220, 168, 224, 178, 51, 40, 1, 1], [1, 0, 47, 29, 221, 161, 245, 143, 86, 19, 8, 0], [1, 0, 47, 30, 213, 189, 189, 213, 30, 47, 0, 1], [1, 0, 47, 30, 214, 182, 210, 178, 65, 26, 7, 0], [1, 0, 47, 31, 207, 203, 175, 213, 44, 33, 6, 0], [1, 0, 47, 32, 200, 224, 140, 248, 23, 40, 5, 0], [1, 0, 47, 33, 193, 245, 105, 283, 2, 47, 4, 0], [1, 0, 48, 18, 269, 49, 399, 17, 142, 11, 5, 1], [1, 0, 48, 19, 262, 70, 364, 52, 121, 18, 4, 1], [1, 0, 48, 20, 255, 91, 329, 87, 100, 25, 3, 1], [1, 0, 48, 20, 256, 84, 350, 52, 135, 4, 10, 0], [1, 0, 48, 21, 248, 112, 294, 122, 79, 32, 2, 1], [1, 0, 48, 21, 249, 105, 315, 87, 114, 11, 9, 0], [1, 0, 48, 22, 241, 133, 259, 157, 58, 39, 1, 1], [1, 0, 48, 22, 242, 126, 280, 122, 93, 18, 8, 0], [1, 0, 48, 23, 234, 154, 224, 192, 37, 46, 0, 1], [1, 0, 48, 23, 235, 147, 245, 157, 72, 25, 7, 0], [1, 0, 48, 24, 228, 168, 210, 192, 51, 32, 6, 0], [1, 0, 48, 25, 221, 189, 175, 227, 30, 39, 5, 0], [1, 0, 48, 26, 214, 210, 140, 262, 9, 46, 4, 0], [1, 0, 49, 12, 283, 35, 399, 31, 128, 17, 4, 1], [1, 0, 49, 13, 276, 56, 364, 66, 107, 24, 3, 1], [1, 0, 49, 13, 277, 49, 385, 31, 142, 3, 10, 0], [1, 0, 49, 14, 269, 77, 329, 101, 86, 31, 2, 1], [1, 0, 49, 14, 270, 70, 350, 66, 121, 10, 9, 0], [1, 0, 49, 15, 262, 98, 294, 136, 65, 38, 1, 1], [1, 0, 49, 15, 263, 91, 315, 101, 100, 17, 8, 0], [1, 0, 49, 16, 255, 119, 259, 171, 44, 45, 0, 1], [1, 0, 49, 16, 256, 112, 280, 136, 79, 24, 7, 0], [1, 0, 49, 17, 249, 133, 245, 171, 58, 31, 6, 0], [1, 0, 49, 18, 242, 154, 210, 206, 37, 38, 5, 0], [1, 0, 49, 19, 235, 175, 175, 241, 16, 45, 4, 0], [1, 0, 50, 5, 304, 0, 434, 10, 135, 16, 4, 1], [1, 0, 50, 6, 297, 21, 399, 45, 114, 23, 3, 1], [1, 0, 50, 6, 298, 14, 420, 10, 149, 2, 10, 0], [1, 0, 50, 7, 290, 42, 364, 80, 93, 30, 2, 1], [1, 0, 50, 7, 291, 35, 385, 45, 128, 9, 9, 0], [1, 0, 50, 8, 283, 63, 329, 115, 72, 37, 1, 1], [1, 0, 50, 8, 284, 56, 350, 80, 107, 16, 8, 0], [1, 0, 50, 9, 276, 84, 294, 150, 51, 44, 0, 1], [1, 0, 50, 9, 277, 77, 315, 115, 86, 23, 7, 0], [1, 0, 50, 10, 270, 98, 280, 150, 65, 30, 6, 0], [1, 0, 50, 11, 263, 119, 245, 185, 44, 37, 5, 0], [1, 0, 50, 12, 256, 140, 210, 220, 23, 44, 4, 0], [1, 0, 50, 13, 249, 161, 175, 255, 2, 51, 3, 0], [1, 0, 51, 0, 311, 7, 399, 59, 100, 29, 2, 1], [1, 0, 51, 0, 312, 0, 420, 24, 135, 8, 9, 0], [1, 0, 51, 1, 304, 28, 364, 94, 79, 36, 1, 1], [1, 0, 51, 1, 305, 21, 385, 59, 114, 15, 8, 0], [1, 0, 51, 2, 297, 49, 329, 129, 58, 43, 0, 1], [1, 0, 51, 2, 298, 42, 350, 94, 93, 22, 7, 0], [1, 0, 51, 3, 291, 63, 315, 129, 72, 29, 6, 0], [1, 0, 51, 4, 284, 84, 280, 164, 51, 36, 5, 0], [1, 0, 51, 5, 277, 105, 245, 199, 30, 43, 4, 0], [1, 0, 51, 6, 270, 126, 210, 234, 9, 50, 3, 0], [1, 1, 27, 128, 1, 399, 161, 73, 162, 4, 0, 3], [1, 1, 28, 121, 22, 364, 196, 52, 169, 3, 0, 3], [1, 1, 28, 124, 2, 420, 112, 122, 141, 3, 4, 2], [1, 1, 29, 114, 43, 329, 231, 31, 176, 2, 0, 3], [1, 1, 29, 117, 23, 385, 147, 101, 148, 2, 4, 2], [1, 1, 29, 118, 16, 406, 112, 136, 127, 9, 3, 2], [1, 1, 29, 119, 9, 427, 77, 171, 106, 16, 2, 2], [1, 1, 29, 120, 2, 448, 42, 206, 85, 23, 1, 2], [1, 1, 29, 120, 3, 441, 63, 171, 120, 2, 8, 1], [1, 1, 30, 107, 64, 294, 266, 10, 183, 1, 0, 3], [1, 1, 30, 110, 44, 350, 182, 80, 155, 1, 4, 2], [1, 1, 30, 111, 37, 371, 147, 115, 134, 8, 3, 2], [1, 1, 30, 112, 30, 392, 112, 150, 113, 15, 2, 2], [1, 1, 30, 113, 23, 413, 77, 185, 92, 22, 1, 2], [1, 1, 30, 113, 24, 406, 98, 150, 127, 1, 8, 1], [1, 1, 30, 114, 16, 434, 42, 220, 71, 29, 0, 2], [1, 1, 30, 114, 17, 427, 63, 185, 106, 8, 7, 1], [1, 1, 30, 115, 10, 448, 28, 220, 85, 15, 6, 1], [1, 1, 30, 116, 4, 462, 14, 220, 99, 1, 12, 0], [1, 1, 31, 103, 65, 315, 217, 59, 162, 0, 4, 2], [1, 1, 31, 104, 58, 336, 182, 94, 141, 7, 3, 2], [1, 1, 31, 105, 51, 357, 147, 129, 120, 14, 2, 2], [1, 1, 31, 106, 44, 378, 112, 164, 99, 21, 1, 2], [1, 1, 31, 106, 45, 371, 133, 129, 134, 0, 8, 1], [1, 1, 31, 107, 37, 399, 77, 199, 78, 28, 0, 2], [1, 1, 31, 107, 38, 392, 98, 164, 113, 7, 7, 1], [1, 1, 31, 108, 31, 413, 63, 199, 92, 14, 6, 1], [1, 1, 31, 109, 24, 434, 28, 234, 71, 21, 5, 1], [1, 1, 31, 109, 25, 427, 49, 199, 106, 0, 12, 0], [1, 1, 31, 110, 18, 448, 14, 234, 85, 7, 11, 0], [1, 1, 32, 97, 79, 301, 217, 73, 148, 6, 3, 2], [1, 1, 32, 98, 72, 322, 182, 108, 127, 13, 2, 2], [1, 1, 32, 99, 65, 343, 147, 143, 106, 20, 1, 2], [1, 1, 32, 100, 58, 364, 112, 178, 85, 27, 0, 2], [1, 1, 32, 100, 59, 357, 133, 143, 120, 6, 7, 1], [1, 1, 32, 101, 52, 378, 98, 178, 99, 13, 6, 1], [1, 1, 32, 102, 45, 399, 63, 213, 78, 20, 5, 1], [1, 1, 32, 103, 38, 420, 28, 248, 57, 27, 4, 1], [1, 1, 32, 103, 39, 413, 49, 213, 92, 6, 11, 0], [1, 1, 32, 104, 32, 434, 14, 248, 71, 13, 10, 0], [1, 1, 33, 90, 100, 266, 252, 52, 155, 5, 3, 2], [1, 1, 33, 91, 93, 287, 217, 87, 134, 12, 2, 2], [1, 1, 33, 92, 86, 308, 182, 122, 113, 19, 1, 2], [1, 1, 33, 93, 79, 329, 147, 157, 92, 26, 0, 2], [1, 1, 33, 93, 80, 322, 168, 122, 127, 5, 7, 1], [1, 1, 33, 94, 73, 343, 133, 157, 106, 12, 6, 1], [1, 1, 33, 95, 66, 364, 98, 192, 85, 19, 5, 1], [1, 1, 33, 96, 59, 385, 63, 227, 64, 26, 4, 1], [1, 1, 33, 96, 60, 378, 84, 192, 99, 5, 11, 0], [1, 1, 33, 97, 52, 406, 28, 262, 43, 33, 3, 1], [1, 1, 33, 97, 53, 399, 49, 227, 78, 12, 10, 0], [1, 1, 33, 98, 46, 420, 14, 262, 57, 19, 9, 0], [1, 1, 34, 83, 121, 231, 287, 31, 162, 4, 3, 2], [1, 1, 34, 84, 114, 252, 252, 66, 141, 11, 2, 2], [1, 1, 34, 85, 107, 273, 217, 101, 120, 18, 1, 2], [1, 1, 34, 86, 100, 294, 182, 136, 99, 25, 0, 2], [1, 1, 34, 86, 101, 287, 203, 101, 134, 4, 7, 1], [1, 1, 34, 87, 94, 308, 168, 136, 113, 11, 6, 1], [1, 1, 34, 88, 87, 329, 133, 171, 92, 18, 5, 1], [1, 1, 34, 89, 80, 350, 98, 206, 71, 25, 4, 1], [1, 1, 34, 89, 81, 343, 119, 171, 106, 4, 11, 0], [1, 1, 34, 90, 73, 371, 63, 241, 50, 32, 3, 1], [1, 1, 34, 90, 74, 364, 84, 206, 85, 11, 10, 0], [1, 1, 34, 91, 66, 392, 28, 276, 29, 39, 2, 1], [1, 1, 34, 91, 67, 385, 49, 241, 64, 18, 9, 0], [1, 1, 34, 92, 60, 406, 14, 276, 43, 25, 8, 0], [1, 1, 35, 76, 142, 196, 322, 10, 169, 3, 3, 2], [1, 1, 35, 77, 135, 217, 287, 45, 148, 10, 2, 2], [1, 1, 35, 78, 128, 238, 252, 80, 127, 17, 1, 2], [1, 1, 35, 79, 121, 259, 217, 115, 106, 24, 0, 2], [1, 1, 35, 79, 122, 252, 238, 80, 141, 3, 7, 1], [1, 1, 35, 80, 115, 273, 203, 115, 120, 10, 6, 1], [1, 1, 35, 81, 108, 294, 168, 150, 99, 17, 5, 1], [1, 1, 35, 82, 101, 315, 133, 185, 78, 24, 4, 1], [1, 1, 35, 82, 102, 308, 154, 150, 113, 3, 11, 0], [1, 1, 35, 83, 94, 336, 98, 220, 57, 31, 3, 1], [1, 1, 35, 83, 95, 329, 119, 185, 92, 10, 10, 0], [1, 1, 35, 84, 87, 357, 63, 255, 36, 38, 2, 1], [1, 1, 35, 84, 88, 350, 84, 220, 71, 17, 9, 0], [1, 1, 35, 85, 80, 378, 28, 290, 15, 45, 1, 1], [1, 1, 35, 85, 81, 371, 49, 255, 50, 24, 8, 0], [1, 1, 35, 86, 74, 392, 14, 290, 29, 31, 7, 0], [1, 1, 36, 70, 156, 182, 322, 24, 155, 9, 2, 2], [1, 1, 36, 71, 149, 203, 287, 59, 134, 16, 1, 2], [1, 1, 36, 72, 142, 224, 252, 94, 113, 23, 0, 2], [1, 1, 36, 72, 143, 217, 273, 59, 148, 2, 7, 1], [1, 1, 36, 73, 136, 238, 238, 94, 127, 9, 6, 1], [1, 1, 36, 74, 129, 259, 203, 129, 106, 16, 5, 1], [1, 1, 36, 75, 122, 280, 168, 164, 85, 23, 4, 1], [1, 1, 36, 75, 123, 273, 189, 129, 120, 2, 11, 0], [1, 1, 36, 76, 115, 301, 133, 199, 64, 30, 3, 1], [1, 1, 36, 76, 116, 294, 154, 164, 99, 9, 10, 0], [1, 1, 36, 77, 108, 322, 98, 234, 43, 37, 2, 1], [1, 1, 36, 77, 109, 315, 119, 199, 78, 16, 9, 0], [1, 1, 36, 78, 101, 343, 63, 269, 22, 44, 1, 1], [1, 1, 36, 78, 102, 336, 84, 234, 57, 23, 8, 0], [1, 1, 36, 79, 94, 364, 28, 304, 1, 51, 0, 1], [1, 1, 36, 79, 95, 357, 49, 269, 36, 30, 7, 0], [1, 1, 36, 80, 88, 378, 14, 304, 15, 37, 6, 0], [1, 1, 37, 63, 177, 147, 357, 3, 162, 8, 2, 2], [1, 1, 37, 64, 170, 168, 322, 38, 141, 15, 1, 2], [1, 1, 37, 65, 163, 189, 287, 73, 120, 22, 0, 2], [1, 1, 37, 65, 164, 182, 308, 38, 155, 1, 7, 1], [1, 1, 37, 66, 157, 203, 273, 73, 134, 8, 6, 1], [1, 1, 37, 67, 150, 224, 238, 108, 113, 15, 5, 1], [1, 1, 37, 68, 143, 245, 203, 143, 92, 22, 4, 1], [1, 1, 37, 68, 144, 238, 224, 108, 127, 1, 11, 0], [1, 1, 37, 69, 136, 266, 168, 178, 71, 29, 3, 1], [1, 1, 37, 69, 137, 259, 189, 143, 106, 8, 10, 0], [1, 1, 37, 70, 129, 287, 133, 213, 50, 36, 2, 1], [1, 1, 37, 70, 130, 280, 154, 178, 85, 15, 9, 0], [1, 1, 37, 71, 122, 308, 98, 248, 29, 43, 1, 1], [1, 1, 37, 71, 123, 301, 119, 213, 64, 22, 8, 0], [1, 1, 37, 72, 115, 329, 63, 283, 8, 50, 0, 1], [1, 1, 37, 72, 116, 322, 84, 248, 43, 29, 7, 0], [1, 1, 37, 73, 109, 343, 49, 283, 22, 36, 6, 0], [1, 1, 37, 74, 102, 364, 14, 318, 1, 43, 5, 0], [1, 1, 38, 57, 191, 133, 357, 17, 148, 14, 1, 2], [1, 1, 38, 58, 184, 154, 322, 52, 127, 21, 0, 2], [1, 1, 38, 58, 185, 147, 343, 17, 162, 0, 7, 1], [1, 1, 38, 59, 178, 168, 308, 52, 141, 7, 6, 1], [1, 1, 38, 60, 171, 189, 273, 87, 120, 14, 5, 1], [1, 1, 38, 61, 164, 210, 238, 122, 99, 21, 4, 1], [1, 1, 38, 61, 165, 203, 259, 87, 134, 0, 11, 0], [1, 1, 38, 62, 157, 231, 203, 157, 78, 28, 3, 1], [1, 1, 38, 62, 158, 224, 224, 122, 113, 7, 10, 0], [1, 1, 38, 63, 150, 252, 168, 192, 57, 35, 2, 1], [1, 1, 38, 63, 151, 245, 189, 157, 92, 14, 9, 0], [1, 1, 38, 64, 143, 273, 133, 227, 36, 42, 1, 1], [1, 1, 38, 64, 144, 266, 154, 192, 71, 21, 8, 0], [1, 1, 38, 65, 136, 294, 98, 262, 15, 49, 0, 1], [1, 1, 38, 65, 137, 287, 119, 227, 50, 28, 7, 0], [1, 1, 38, 66, 130, 308, 84, 262, 29, 35, 6, 0], [1, 1, 38, 67, 123, 329, 49, 297, 8, 42, 5, 0], [1, 1, 39, 51, 205, 119, 357, 31, 134, 20, 0, 2], [1, 1, 39, 52, 199, 133, 343, 31, 148, 6, 6, 1], [1, 1, 39, 53, 192, 154, 308, 66, 127, 13, 5, 1], [1, 1, 39, 54, 185, 175, 273, 101, 106, 20, 4, 1], [1, 1, 39, 55, 178, 196, 238, 136, 85, 27, 3, 1], [1, 1, 39, 55, 179, 189, 259, 101, 120, 6, 10, 0], [1, 1, 39, 56, 171, 217, 203, 171, 64, 34, 2, 1], [1, 1, 39, 56, 172, 210, 224, 136, 99, 13, 9, 0], [1, 1, 39, 57, 164, 238, 168, 206, 43, 41, 1, 1], [1, 1, 39, 57, 165, 231, 189, 171, 78, 20, 8, 0], [1, 1, 39, 58, 157, 259, 133, 241, 22, 48, 0, 1], [1, 1, 39, 58, 158, 252, 154, 206, 57, 27, 7, 0], [1, 1, 39, 59, 151, 273, 119, 241, 36, 34, 6, 0], [1, 1, 39, 60, 144, 294, 84, 276, 15, 41, 5, 0], [1, 1, 40, 44, 226, 84, 392, 10, 141, 19, 0, 2], [1, 1, 40, 45, 220, 98, 378, 10, 155, 5, 6, 1], [1, 1, 40, 46, 213, 119, 343, 45, 134, 12, 5, 1], [1, 1, 40, 47, 206, 140, 308, 80, 113, 19, 4, 1], [1, 1, 40, 48, 199, 161, 273, 115, 92, 26, 3, 1], [1, 1, 40, 48, 200, 154, 294, 80, 127, 5, 10, 0], [1, 1, 40, 49, 192, 182, 238, 150, 71, 33, 2, 1], [1, 1, 40, 49, 193, 175, 259, 115, 106, 12, 9, 0], [1, 1, 40, 50, 185, 203, 203, 185, 50, 40, 1, 1], [1, 1, 40, 50, 186, 196, 224, 150, 85, 19, 8, 0], [1, 1, 40, 51, 178, 224, 168, 220, 29, 47, 0, 1], [1, 1, 40, 51, 179, 217, 189, 185, 64, 26, 7, 0], [1, 1, 40, 52, 172, 238, 154, 220, 43, 33, 6, 0], [1, 1, 40, 53, 165, 259, 119, 255, 22, 40, 5, 0], [1, 1, 40, 54, 158, 280, 84, 290, 1, 47, 4, 0], [1, 1, 41, 39, 234, 84, 378, 24, 141, 11, 5, 1], [1, 1, 41, 40, 227, 105, 343, 59, 120, 18, 4, 1], [1, 1, 41, 41, 220, 126, 308, 94, 99, 25, 3, 1], [1, 1, 41, 41, 221, 119, 329, 59, 134, 4, 10, 0], [1, 1, 41, 42, 213, 147, 273, 129, 78, 32, 2, 1], [1, 1, 41, 42, 214, 140, 294, 94, 113, 11, 9, 0], [1, 1, 41, 43, 206, 168, 238, 164, 57, 39, 1, 1], [1, 1, 41, 43, 207, 161, 259, 129, 92, 18, 8, 0], [1, 1, 41, 44, 199, 189, 203, 199, 36, 46, 0, 1], [1, 1, 41, 44, 200, 182, 224, 164, 71, 25, 7, 0], [1, 1, 41, 45, 193, 203, 189, 199, 50, 32, 6, 0], [1, 1, 41, 46, 186, 224, 154, 234, 29, 39, 5, 0], [1, 1, 41, 47, 179, 245, 119, 269, 8, 46, 4, 0], [1, 1, 42, 32, 255, 49, 413, 3, 148, 10, 5, 1], [1, 1, 42, 33, 248, 70, 378, 38, 127, 17, 4, 1], [1, 1, 42, 34, 241, 91, 343, 73, 106, 24, 3, 1], [1, 1, 42, 34, 242, 84, 364, 38, 141, 3, 10, 0], [1, 1, 42, 35, 234, 112, 308, 108, 85, 31, 2, 1], [1, 1, 42, 35, 235, 105, 329, 73, 120, 10, 9, 0], [1, 1, 42, 36, 227, 133, 273, 143, 64, 38, 1, 1], [1, 1, 42, 36, 228, 126, 294, 108, 99, 17, 8, 0], [1, 1, 42, 37, 220, 154, 238, 178, 43, 45, 0, 1], [1, 1, 42, 37, 221, 147, 259, 143, 78, 24, 7, 0], [1, 1, 42, 38, 214, 168, 224, 178, 57, 31, 6, 0], [1, 1, 42, 39, 207, 189, 189, 213, 36, 38, 5, 0], [1, 1, 42, 40, 200, 210, 154, 248, 15, 45, 4, 0], [1, 1, 43, 26, 269, 35, 413, 17, 134, 16, 4, 1], [1, 1, 43, 27, 262, 56, 378, 52, 113, 23, 3, 1], [1, 1, 43, 27, 263, 49, 399, 17, 148, 2, 10, 0], [1, 1, 43, 28, 255, 77, 343, 87, 92, 30, 2, 1], [1, 1, 43, 28, 256, 70, 364, 52, 127, 9, 9, 0], [1, 1, 43, 29, 248, 98, 308, 122, 71, 37, 1, 1], [1, 1, 43, 29, 249, 91, 329, 87, 106, 16, 8, 0], [1, 1, 43, 30, 241, 119, 273, 157, 50, 44, 0, 1], [1, 1, 43, 30, 242, 112, 294, 122, 85, 23, 7, 0], [1, 1, 43, 31, 235, 133, 259, 157, 64, 30, 6, 0], [1, 1, 43, 32, 228, 154, 224, 192, 43, 37, 5, 0], [1, 1, 43, 33, 221, 175, 189, 227, 22, 44, 4, 0], [1, 1, 43, 34, 214, 196, 154, 262, 1, 51, 3, 0], [1, 1, 44, 20, 283, 21, 413, 31, 120, 22, 3, 1], [1, 1, 44, 21, 276, 42, 378, 66, 99, 29, 2, 1], [1, 1, 44, 21, 277, 35, 399, 31, 134, 8, 9, 0], [1, 1, 44, 22, 269, 63, 343, 101, 78, 36, 1, 1], [1, 1, 44, 22, 270, 56, 364, 66, 113, 15, 8, 0], [1, 1, 44, 23, 262, 84, 308, 136, 57, 43, 0, 1], [1, 1, 44, 23, 263, 77, 329, 101, 92, 22, 7, 0], [1, 1, 44, 24, 256, 98, 294, 136, 71, 29, 6, 0], [1, 1, 44, 25, 249, 119, 259, 171, 50, 36, 5, 0], [1, 1, 44, 26, 242, 140, 224, 206, 29, 43, 4, 0], [1, 1, 44, 27, 235, 161, 189, 241, 8, 50, 3, 0], [1, 1, 45, 14, 297, 7, 413, 45, 106, 28, 2, 1], [1, 1, 45, 14, 298, 0, 434, 10, 141, 7, 9, 0], [1, 1, 45, 15, 290, 28, 378, 80, 85, 35, 1, 1], [1, 1, 45, 15, 291, 21, 399, 45, 120, 14, 8, 0], [1, 1, 45, 16, 283, 49, 343, 115, 64, 42, 0, 1], [1, 1, 45, 16, 284, 42, 364, 80, 99, 21, 7, 0], [1, 1, 45, 17, 277, 63, 329, 115, 78, 28, 6, 0], [1, 1, 45, 18, 270, 84, 294, 150, 57, 35, 5, 0], [1, 1, 45, 19, 263, 105, 259, 185, 36, 42, 4, 0], [1, 1, 45, 20, 256, 126, 224, 220, 15, 49, 3, 0], [1, 1, 46, 9, 304, 14, 378, 94, 71, 41, 0, 1], [1, 1, 46, 9, 305, 7, 399, 59, 106, 20, 7, 0], [1, 1, 46, 10, 298, 28, 364, 94, 85, 27, 6, 0], [1, 1, 46, 11, 291, 49, 329, 129, 64, 34, 5, 0], [1, 1, 46, 12, 284, 70, 294, 164, 43, 41, 4, 0], [1, 1, 46, 13, 277, 91, 259, 199, 22, 48, 3, 0], [1, 1, 46, 14, 270, 112, 224, 234, 1, 55, 2, 0], [1, 1, 47, 4, 312, 14, 364, 108, 71, 33, 5, 0], [1, 1, 47, 5, 305, 35, 329, 143, 50, 40, 4, 0], [1, 1, 47, 6, 298, 56, 294, 178, 29, 47, 3, 0], [1, 1, 47, 7, 291, 77, 259, 213, 8, 54, 2, 0], [1, 1, 48, 0, 312, 42, 294, 192, 15, 53, 2, 0], [1, 2, 22, 135, 8, 364, 210, 38, 175, 2, 0, 3], [1, 2, 23, 128, 29, 329, 245, 17, 182, 1, 0, 3], [1, 2, 23, 131, 9, 385, 161, 87, 154, 1, 4, 2], [1, 2, 23, 132, 2, 406, 126, 122, 133, 8, 3, 2], [1, 2, 24, 124, 30, 350, 196, 66, 161, 0, 4, 2], [1, 2, 24, 125, 23, 371, 161, 101, 140, 7, 3, 2], [1, 2, 24, 126, 16, 392, 126, 136, 119, 14, 2, 2], [1, 2, 24, 127, 9, 413, 91, 171, 98, 21, 1, 2], [1, 2, 24, 127, 10, 406, 112, 136, 133, 0, 8, 1], [1, 2, 24, 128, 2, 434, 56, 206, 77, 28, 0, 2], [1, 2, 24, 128, 3, 427, 77, 171, 112, 7, 7, 1], [1, 2, 25, 118, 44, 336, 196, 80, 147, 6, 3, 2], [1, 2, 25, 119, 37, 357, 161, 115, 126, 13, 2, 2], [1, 2, 25, 120, 30, 378, 126, 150, 105, 20, 1, 2], [1, 2, 25, 121, 23, 399, 91, 185, 84, 27, 0, 2], [1, 2, 25, 121, 24, 392, 112, 150, 119, 6, 7, 1], [1, 2, 25, 122, 17, 413, 77, 185, 98, 13, 6, 1], [1, 2, 25, 123, 10, 434, 42, 220, 77, 20, 5, 1], [1, 2, 25, 124, 3, 455, 7, 255, 56, 27, 4, 1], [1, 2, 25, 124, 4, 448, 28, 220, 91, 6, 11, 0], [1, 2, 26, 111, 65, 301, 231, 59, 154, 5, 3, 2], [1, 2, 26, 112, 58, 322, 196, 94, 133, 12, 2, 2], [1, 2, 26, 113, 51, 343, 161, 129, 112, 19, 1, 2], [1, 2, 26, 114, 44, 364, 126, 164, 91, 26, 0, 2], [1, 2, 26, 114, 45, 357, 147, 129, 126, 5, 7, 1], [1, 2, 26, 115, 38, 378, 112, 164, 105, 12, 6, 1], [1, 2, 26, 116, 31, 399, 77, 199, 84, 19, 5, 1], [1, 2, 26, 117, 24, 420, 42, 234, 63, 26, 4, 1], [1, 2, 26, 117, 25, 413, 63, 199, 98, 5, 11, 0], [1, 2, 26, 118, 17, 441, 7, 269, 42, 33, 3, 1], [1, 2, 26, 118, 18, 434, 28, 234, 77, 12, 10, 0], [1, 2, 27, 104, 86, 266, 266, 38, 161, 4, 3, 2], [1, 2, 27, 105, 79, 287, 231, 73, 140, 11, 2, 2], [1, 2, 27, 106, 72, 308, 196, 108, 119, 18, 1, 2], [1, 2, 27, 107, 65, 329, 161, 143, 98, 25, 0, 2], [1, 2, 27, 107, 66, 322, 182, 108, 133, 4, 7, 1], [1, 2, 27, 108, 59, 343, 147, 143, 112, 11, 6, 1], [1, 2, 27, 109, 52, 364, 112, 178, 91, 18, 5, 1], [1, 2, 27, 110, 45, 385, 77, 213, 70, 25, 4, 1], [1, 2, 27, 110, 46, 378, 98, 178, 105, 4, 11, 0], [1, 2, 27, 111, 38, 406, 42, 248, 49, 32, 3, 1], [1, 2, 27, 111, 39, 399, 63, 213, 84, 11, 10, 0], [1, 2, 27, 112, 31, 427, 7, 283, 28, 39, 2, 1], [1, 2, 27, 112, 32, 420, 28, 248, 63, 18, 9, 0], [1, 2, 28, 97, 107, 231, 301, 17, 168, 3, 3, 2], [1, 2, 28, 98, 100, 252, 266, 52, 147, 10, 2, 2], [1, 2, 28, 99, 93, 273, 231, 87, 126, 17, 1, 2], [1, 2, 28, 100, 86, 294, 196, 122, 105, 24, 0, 2], [1, 2, 28, 100, 87, 287, 217, 87, 140, 3, 7, 1], [1, 2, 28, 101, 80, 308, 182, 122, 119, 10, 6, 1], [1, 2, 28, 102, 73, 329, 147, 157, 98, 17, 5, 1], [1, 2, 28, 103, 66, 350, 112, 192, 77, 24, 4, 1], [1, 2, 28, 103, 67, 343, 133, 157, 112, 3, 11, 0], [1, 2, 28, 104, 59, 371, 77, 227, 56, 31, 3, 1], [1, 2, 28, 104, 60, 364, 98, 192, 91, 10, 10, 0], [1, 2, 28, 105, 52, 392, 42, 262, 35, 38, 2, 1], [1, 2, 28, 105, 53, 385, 63, 227, 70, 17, 9, 0], [1, 2, 28, 106, 45, 413, 7, 297, 14, 45, 1, 1], [1, 2, 28, 106, 46, 406, 28, 262, 49, 24, 8, 0], [1, 2, 29, 91, 121, 217, 301, 31, 154, 9, 2, 2], [1, 2, 29, 92, 114, 238, 266, 66, 133, 16, 1, 2], [1, 2, 29, 93, 107, 259, 231, 101, 112, 23, 0, 2], [1, 2, 29, 93, 108, 252, 252, 66, 147, 2, 7, 1], [1, 2, 29, 94, 101, 273, 217, 101, 126, 9, 6, 1], [1, 2, 29, 95, 94, 294, 182, 136, 105, 16, 5, 1], [1, 2, 29, 96, 87, 315, 147, 171, 84, 23, 4, 1], [1, 2, 29, 96, 88, 308, 168, 136, 119, 2, 11, 0], [1, 2, 29, 97, 80, 336, 112, 206, 63, 30, 3, 1], [1, 2, 29, 97, 81, 329, 133, 171, 98, 9, 10, 0], [1, 2, 29, 98, 73, 357, 77, 241, 42, 37, 2, 1], [1, 2, 29, 98, 74, 350, 98, 206, 77, 16, 9, 0], [1, 2, 29, 99, 66, 378, 42, 276, 21, 44, 1, 1], [1, 2, 29, 99, 67, 371, 63, 241, 56, 23, 8, 0], [1, 2, 29, 100, 59, 399, 7, 311, 0, 51, 0, 1], [1, 2, 29, 100, 60, 392, 28, 276, 35, 30, 7, 0], [1, 2, 30, 84, 142, 182, 336, 10, 161, 8, 2, 2], [1, 2, 30, 85, 135, 203, 301, 45, 140, 15, 1, 2], [1, 2, 30, 86, 128, 224, 266, 80, 119, 22, 0, 2], [1, 2, 30, 86, 129, 217, 287, 45, 154, 1, 7, 1], [1, 2, 30, 87, 122, 238, 252, 80, 133, 8, 6, 1], [1, 2, 30, 88, 115, 259, 217, 115, 112, 15, 5, 1], [1, 2, 30, 89, 108, 280, 182, 150, 91, 22, 4, 1], [1, 2, 30, 89, 109, 273, 203, 115, 126, 1, 11, 0], [1, 2, 30, 90, 101, 301, 147, 185, 70, 29, 3, 1], [1, 2, 30, 90, 102, 294, 168, 150, 105, 8, 10, 0], [1, 2, 30, 91, 94, 322, 112, 220, 49, 36, 2, 1], [1, 2, 30, 91, 95, 315, 133, 185, 84, 15, 9, 0], [1, 2, 30, 92, 87, 343, 77, 255, 28, 43, 1, 1], [1, 2, 30, 92, 88, 336, 98, 220, 63, 22, 8, 0], [1, 2, 30, 93, 80, 364, 42, 290, 7, 50, 0, 1], [1, 2, 30, 93, 81, 357, 63, 255, 42, 29, 7, 0], [1, 2, 30, 94, 74, 378, 28, 290, 21, 36, 6, 0], [1, 2, 31, 78, 156, 168, 336, 24, 147, 14, 1, 2], [1, 2, 31, 79, 149, 189, 301, 59, 126, 21, 0, 2], [1, 2, 31, 79, 150, 182, 322, 24, 161, 0, 7, 1], [1, 2, 31, 80, 143, 203, 287, 59, 140, 7, 6, 1], [1, 2, 31, 81, 136, 224, 252, 94, 119, 14, 5, 1], [1, 2, 31, 82, 129, 245, 217, 129, 98, 21, 4, 1], [1, 2, 31, 82, 130, 238, 238, 94, 133, 0, 11, 0], [1, 2, 31, 83, 122, 266, 182, 164, 77, 28, 3, 1], [1, 2, 31, 83, 123, 259, 203, 129, 112, 7, 10, 0], [1, 2, 31, 84, 115, 287, 147, 199, 56, 35, 2, 1], [1, 2, 31, 84, 116, 280, 168, 164, 91, 14, 9, 0], [1, 2, 31, 85, 108, 308, 112, 234, 35, 42, 1, 1], [1, 2, 31, 85, 109, 301, 133, 199, 70, 21, 8, 0], [1, 2, 31, 86, 101, 329, 77, 269, 14, 49, 0, 1], [1, 2, 31, 86, 102, 322, 98, 234, 49, 28, 7, 0], [1, 2, 31, 87, 95, 343, 63, 269, 28, 35, 6, 0], [1, 2, 31, 88, 88, 364, 28, 304, 7, 42, 5, 0], [1, 2, 32, 71, 177, 133, 371, 3, 154, 13, 1, 2], [1, 2, 32, 72, 170, 154, 336, 38, 133, 20, 0, 2], [1, 2, 32, 73, 164, 168, 322, 38, 147, 6, 6, 1], [1, 2, 32, 74, 157, 189, 287, 73, 126, 13, 5, 1], [1, 2, 32, 75, 150, 210, 252, 108, 105, 20, 4, 1], [1, 2, 32, 76, 143, 231, 217, 143, 84, 27, 3, 1], [1, 2, 32, 76, 144, 224, 238, 108, 119, 6, 10, 0], [1, 2, 32, 77, 136, 252, 182, 178, 63, 34, 2, 1], [1, 2, 32, 77, 137, 245, 203, 143, 98, 13, 9, 0], [1, 2, 32, 78, 129, 273, 147, 213, 42, 41, 1, 1], [1, 2, 32, 78, 130, 266, 168, 178, 77, 20, 8, 0], [1, 2, 32, 79, 122, 294, 112, 248, 21, 48, 0, 1], [1, 2, 32, 79, 123, 287, 133, 213, 56, 27, 7, 0], [1, 2, 32, 80, 116, 308, 98, 248, 35, 34, 6, 0], [1, 2, 32, 81, 109, 329, 63, 283, 14, 41, 5, 0], [1, 2, 33, 65, 191, 119, 371, 17, 140, 19, 0, 2], [1, 2, 33, 66, 185, 133, 357, 17, 154, 5, 6, 1], [1, 2, 33, 67, 178, 154, 322, 52, 133, 12, 5, 1], [1, 2, 33, 68, 171, 175, 287, 87, 112, 19, 4, 1], [1, 2, 33, 69, 164, 196, 252, 122, 91, 26, 3, 1], [1, 2, 33, 69, 165, 189, 273, 87, 126, 5, 10, 0], [1, 2, 33, 70, 157, 217, 217, 157, 70, 33, 2, 1], [1, 2, 33, 70, 158, 210, 238, 122, 105, 12, 9, 0], [1, 2, 33, 71, 150, 238, 182, 192, 49, 40, 1, 1], [1, 2, 33, 71, 151, 231, 203, 157, 84, 19, 8, 0], [1, 2, 33, 72, 143, 259, 147, 227, 28, 47, 0, 1], [1, 2, 33, 72, 144, 252, 168, 192, 63, 26, 7, 0], [1, 2, 33, 73, 137, 273, 133, 227, 42, 33, 6, 0], [1, 2, 33, 74, 130, 294, 98, 262, 21, 40, 5, 0], [1, 2, 33, 75, 123, 315, 63, 297, 0, 47, 4, 0], [1, 2, 34, 60, 199, 119, 357, 31, 140, 11, 5, 1], [1, 2, 34, 61, 192, 140, 322, 66, 119, 18, 4, 1], [1, 2, 34, 62, 185, 161, 287, 101, 98, 25, 3, 1], [1, 2, 34, 62, 186, 154, 308, 66, 133, 4, 10, 0], [1, 2, 34, 63, 178, 182, 252, 136, 77, 32, 2, 1], [1, 2, 34, 63, 179, 175, 273, 101, 112, 11, 9, 0], [1, 2, 34, 64, 171, 203, 217, 171, 56, 39, 1, 1], [1, 2, 34, 64, 172, 196, 238, 136, 91, 18, 8, 0], [1, 2, 34, 65, 164, 224, 182, 206, 35, 46, 0, 1], [1, 2, 34, 65, 165, 217, 203, 171, 70, 25, 7, 0], [1, 2, 34, 66, 158, 238, 168, 206, 49, 32, 6, 0], [1, 2, 34, 67, 151, 259, 133, 241, 28, 39, 5, 0], [1, 2, 34, 68, 144, 280, 98, 276, 7, 46, 4, 0], [1, 2, 35, 53, 220, 84, 392, 10, 147, 10, 5, 1], [1, 2, 35, 54, 213, 105, 357, 45, 126, 17, 4, 1], [1, 2, 35, 55, 206, 126, 322, 80, 105, 24, 3, 1], [1, 2, 35, 55, 207, 119, 343, 45, 140, 3, 10, 0], [1, 2, 35, 56, 199, 147, 287, 115, 84, 31, 2, 1], [1, 2, 35, 56, 200, 140, 308, 80, 119, 10, 9, 0], [1, 2, 35, 57, 192, 168, 252, 150, 63, 38, 1, 1], [1, 2, 35, 57, 193, 161, 273, 115, 98, 17, 8, 0], [1, 2, 35, 58, 185, 189, 217, 185, 42, 45, 0, 1], [1, 2, 35, 58, 186, 182, 238, 150, 77, 24, 7, 0], [1, 2, 35, 59, 179, 203, 203, 185, 56, 31, 6, 0], [1, 2, 35, 60, 172, 224, 168, 220, 35, 38, 5, 0], [1, 2, 35, 61, 165, 245, 133, 255, 14, 45, 4, 0], [1, 2, 36, 47, 234, 70, 392, 24, 133, 16, 4, 1], [1, 2, 36, 48, 227, 91, 357, 59, 112, 23, 3, 1], [1, 2, 36, 48, 228, 84, 378, 24, 147, 2, 10, 0], [1, 2, 36, 49, 220, 112, 322, 94, 91, 30, 2, 1], [1, 2, 36, 49, 221, 105, 343, 59, 126, 9, 9, 0], [1, 2, 36, 50, 213, 133, 287, 129, 70, 37, 1, 1], [1, 2, 36, 50, 214, 126, 308, 94, 105, 16, 8, 0], [1, 2, 36, 51, 206, 154, 252, 164, 49, 44, 0, 1], [1, 2, 36, 51, 207, 147, 273, 129, 84, 23, 7, 0], [1, 2, 36, 52, 200, 168, 238, 164, 63, 30, 6, 0], [1, 2, 36, 53, 193, 189, 203, 199, 42, 37, 5, 0], [1, 2, 36, 54, 186, 210, 168, 234, 21, 44, 4, 0], [1, 2, 36, 55, 179, 231, 133, 269, 0, 51, 3, 0], [1, 2, 37, 40, 255, 35, 427, 3, 140, 15, 4, 1], [1, 2, 37, 41, 248, 56, 392, 38, 119, 22, 3, 1], [1, 2, 37, 41, 249, 49, 413, 3, 154, 1, 10, 0], [1, 2, 37, 42, 241, 77, 357, 73, 98, 29, 2, 1], [1, 2, 37, 42, 242, 70, 378, 38, 133, 8, 9, 0], [1, 2, 37, 43, 234, 98, 322, 108, 77, 36, 1, 1], [1, 2, 37, 43, 235, 91, 343, 73, 112, 15, 8, 0], [1, 2, 37, 44, 227, 119, 287, 143, 56, 43, 0, 1], [1, 2, 37, 44, 228, 112, 308, 108, 91, 22, 7, 0], [1, 2, 37, 45, 221, 133, 273, 143, 70, 29, 6, 0], [1, 2, 37, 46, 214, 154, 238, 178, 49, 36, 5, 0], [1, 2, 37, 47, 207, 175, 203, 213, 28, 43, 4, 0], [1, 2, 37, 48, 200, 196, 168, 248, 7, 50, 3, 0], [1, 2, 38, 34, 269, 21, 427, 17, 126, 21, 3, 1], [1, 2, 38, 35, 262, 42, 392, 52, 105, 28, 2, 1], [1, 2, 38, 35, 263, 35, 413, 17, 140, 7, 9, 0], [1, 2, 38, 36, 255, 63, 357, 87, 84, 35, 1, 1], [1, 2, 38, 36, 256, 56, 378, 52, 119, 14, 8, 0], [1, 2, 38, 37, 248, 84, 322, 122, 63, 42, 0, 1], [1, 2, 38, 37, 249, 77, 343, 87, 98, 21, 7, 0], [1, 2, 38, 38, 242, 98, 308, 122, 77, 28, 6, 0], [1, 2, 38, 39, 235, 119, 273, 157, 56, 35, 5, 0], [1, 2, 38, 40, 228, 140, 238, 192, 35, 42, 4, 0], [1, 2, 38, 41, 221, 161, 203, 227, 14, 49, 3, 0], [1, 2, 39, 28, 283, 7, 427, 31, 112, 27, 2, 1], [1, 2, 39, 29, 276, 28, 392, 66, 91, 34, 1, 1], [1, 2, 39, 29, 277, 21, 413, 31, 126, 13, 8, 0], [1, 2, 39, 30, 269, 49, 357, 101, 70, 41, 0, 1], [1, 2, 39, 30, 270, 42, 378, 66, 105, 20, 7, 0], [1, 2, 39, 31, 263, 63, 343, 101, 84, 27, 6, 0], [1, 2, 39, 32, 256, 84, 308, 136, 63, 34, 5, 0], [1, 2, 39, 33, 249, 105, 273, 171, 42, 41, 4, 0], [1, 2, 39, 34, 242, 126, 238, 206, 21, 48, 3, 0], [1, 2, 39, 35, 235, 147, 203, 241, 0, 55, 2, 0], [1, 2, 40, 23, 290, 14, 392, 80, 77, 40, 0, 1], [1, 2, 40, 23, 291, 7, 413, 45, 112, 19, 7, 0], [1, 2, 40, 24, 284, 28, 378, 80, 91, 26, 6, 0], [1, 2, 40, 25, 277, 49, 343, 115, 70, 33, 5, 0], [1, 2, 40, 26, 270, 70, 308, 150, 49, 40, 4, 0], [1, 2, 40, 27, 263, 91, 273, 185, 28, 47, 3, 0], [1, 2, 40, 28, 256, 112, 238, 220, 7, 54, 2, 0], [1, 2, 41, 18, 298, 14, 378, 94, 77, 32, 5, 0], [1, 2, 41, 19, 291, 35, 343, 129, 56, 39, 4, 0], [1, 2, 41, 20, 284, 56, 308, 164, 35, 46, 3, 0], [1, 2, 41, 21, 277, 77, 273, 199, 14, 53, 2, 0], [1, 2, 42, 12, 312, 0, 378, 108, 63, 38, 4, 0], [1, 2, 42, 13, 305, 21, 343, 143, 42, 45, 3, 0], [1, 2, 42, 14, 298, 42, 308, 178, 21, 52, 2, 0], [1, 2, 42, 15, 291, 63, 273, 213, 0, 59, 1, 0], [1, 2, 43, 7, 319, 7, 343, 157, 28, 51, 2, 0], [1, 2, 43, 8, 312, 28, 308, 192, 7, 58, 1, 0], [1, 3, 17, 142, 15, 329, 259, 3, 188, 0, 0, 3], [1, 3, 18, 139, 9, 371, 175, 87, 146, 6, 3, 2], [1, 3, 18, 140, 2, 392, 140, 122, 125, 13, 2, 2], [1, 3, 19, 132, 30, 336, 210, 66, 153, 5, 3, 2], [1, 3, 19, 133, 23, 357, 175, 101, 132, 12, 2, 2], [1, 3, 19, 134, 16, 378, 140, 136, 111, 19, 1, 2], [1, 3, 19, 135, 9, 399, 105, 171, 90, 26, 0, 2], [1, 3, 19, 135, 10, 392, 126, 136, 125, 5, 7, 1], [1, 3, 19, 136, 3, 413, 91, 171, 104, 12, 6, 1], [1, 3, 20, 125, 51, 301, 245, 45, 160, 4, 3, 2], [1, 3, 20, 126, 44, 322, 210, 80, 139, 11, 2, 2], [1, 3, 20, 127, 37, 343, 175, 115, 118, 18, 1, 2], [1, 3, 20, 128, 30, 364, 140, 150, 97, 25, 0, 2], [1, 3, 20, 128, 31, 357, 161, 115, 132, 4, 7, 1], [1, 3, 20, 129, 24, 378, 126, 150, 111, 11, 6, 1], [1, 3, 20, 130, 17, 399, 91, 185, 90, 18, 5, 1], [1, 3, 20, 131, 10, 420, 56, 220, 69, 25, 4, 1], [1, 3, 20, 131, 11, 413, 77, 185, 104, 4, 11, 0], [1, 3, 20, 132, 3, 441, 21, 255, 48, 32, 3, 1], [1, 3, 20, 132, 4, 434, 42, 220, 83, 11, 10, 0], [1, 3, 21, 118, 72, 266, 280, 24, 167, 3, 3, 2], [1, 3, 21, 119, 65, 287, 245, 59, 146, 10, 2, 2], [1, 3, 21, 120, 58, 308, 210, 94, 125, 17, 1, 2], [1, 3, 21, 121, 51, 329, 175, 129, 104, 24, 0, 2], [1, 3, 21, 121, 52, 322, 196, 94, 139, 3, 7, 1], [1, 3, 21, 122, 45, 343, 161, 129, 118, 10, 6, 1], [1, 3, 21, 123, 38, 364, 126, 164, 97, 17, 5, 1], [1, 3, 21, 124, 31, 385, 91, 199, 76, 24, 4, 1], [1, 3, 21, 124, 32, 378, 112, 164, 111, 3, 11, 0], [1, 3, 21, 125, 24, 406, 56, 234, 55, 31, 3, 1], [1, 3, 21, 125, 25, 399, 77, 199, 90, 10, 10, 0], [1, 3, 21, 126, 17, 427, 21, 269, 34, 38, 2, 1], [1, 3, 21, 126, 18, 420, 42, 234, 69, 17, 9, 0], [1, 3, 21, 127, 11, 441, 7, 269, 48, 24, 8, 0], [1, 3, 22, 111, 93, 231, 315, 3, 174, 2, 3, 2], [1, 3, 22, 112, 86, 252, 280, 38, 153, 9, 2, 2], [1, 3, 22, 113, 79, 273, 245, 73, 132, 16, 1, 2], [1, 3, 22, 114, 72, 294, 210, 108, 111, 23, 0, 2], [1, 3, 22, 114, 73, 287, 231, 73, 146, 2, 7, 1], [1, 3, 22, 115, 66, 308, 196, 108, 125, 9, 6, 1], [1, 3, 22, 116, 59, 329, 161, 143, 104, 16, 5, 1], [1, 3, 22, 117, 52, 350, 126, 178, 83, 23, 4, 1], [1, 3, 22, 117, 53, 343, 147, 143, 118, 2, 11, 0], [1, 3, 22, 118, 45, 371, 91, 213, 62, 30, 3, 1], [1, 3, 22, 118, 46, 364, 112, 178, 97, 9, 10, 0], [1, 3, 22, 119, 38, 392, 56, 248, 41, 37, 2, 1], [1, 3, 22, 119, 39, 385, 77, 213, 76, 16, 9, 0], [1, 3, 22, 120, 31, 413, 21, 283, 20, 44, 1, 1], [1, 3, 22, 120, 32, 406, 42, 248, 55, 23, 8, 0], [1, 3, 22, 121, 25, 427, 7, 283, 34, 30, 7, 0], [1, 3, 23, 105, 107, 217, 315, 17, 160, 8, 2, 2], [1, 3, 23, 106, 100, 238, 280, 52, 139, 15, 1, 2], [1, 3, 23, 107, 93, 259, 245, 87, 118, 22, 0, 2], [1, 3, 23, 107, 94, 252, 266, 52, 153, 1, 7, 1], [1, 3, 23, 108, 87, 273, 231, 87, 132, 8, 6, 1], [1, 3, 23, 109, 80, 294, 196, 122, 111, 15, 5, 1], [1, 3, 23, 110, 73, 315, 161, 157, 90, 22, 4, 1], [1, 3, 23, 110, 74, 308, 182, 122, 125, 1, 11, 0], [1, 3, 23, 111, 66, 336, 126, 192, 69, 29, 3, 1], [1, 3, 23, 111, 67, 329, 147, 157, 104, 8, 10, 0], [1, 3, 23, 112, 59, 357, 91, 227, 48, 36, 2, 1], [1, 3, 23, 112, 60, 350, 112, 192, 83, 15, 9, 0], [1, 3, 23, 113, 52, 378, 56, 262, 27, 43, 1, 1], [1, 3, 23, 113, 53, 371, 77, 227, 62, 22, 8, 0], [1, 3, 23, 114, 45, 399, 21, 297, 6, 50, 0, 1], [1, 3, 23, 114, 46, 392, 42, 262, 41, 29, 7, 0], [1, 3, 23, 115, 39, 413, 7, 297, 20, 36, 6, 0], [1, 3, 24, 99, 121, 203, 315, 31, 146, 14, 1, 2], [1, 3, 24, 100, 114, 224, 280, 66, 125, 21, 0, 2], [1, 3, 24, 100, 115, 217, 301, 31, 160, 0, 7, 1], [1, 3, 24, 101, 108, 238, 266, 66, 139, 7, 6, 1], [1, 3, 24, 102, 101, 259, 231, 101, 118, 14, 5, 1], [1, 3, 24, 103, 94, 280, 196, 136, 97, 21, 4, 1], [1, 3, 24, 103, 95, 273, 217, 101, 132, 0, 11, 0], [1, 3, 24, 104, 87, 301, 161, 171, 76, 28, 3, 1], [1, 3, 24, 104, 88, 294, 182, 136, 111, 7, 10, 0], [1, 3, 24, 105, 80, 322, 126, 206, 55, 35, 2, 1], [1, 3, 24, 105, 81, 315, 147, 171, 90, 14, 9, 0], [1, 3, 24, 106, 73, 343, 91, 241, 34, 42, 1, 1], [1, 3, 24, 106, 74, 336, 112, 206, 69, 21, 8, 0], [1, 3, 24, 107, 66, 364, 56, 276, 13, 49, 0, 1], [1, 3, 24, 107, 67, 357, 77, 241, 48, 28, 7, 0], [1, 3, 24, 108, 60, 378, 42, 276, 27, 35, 6, 0], [1, 3, 24, 109, 53, 399, 7, 311, 6, 42, 5, 0], [1, 3, 25, 92, 142, 168, 350, 10, 153, 13, 1, 2], [1, 3, 25, 93, 135, 189, 315, 45, 132, 20, 0, 2], [1, 3, 25, 94, 129, 203, 301, 45, 146, 6, 6, 1], [1, 3, 25, 95, 122, 224, 266, 80, 125, 13, 5, 1], [1, 3, 25, 96, 115, 245, 231, 115, 104, 20, 4, 1], [1, 3, 25, 97, 108, 266, 196, 150, 83, 27, 3, 1], [1, 3, 25, 97, 109, 259, 217, 115, 118, 6, 10, 0], [1, 3, 25, 98, 101, 287, 161, 185, 62, 34, 2, 1], [1, 3, 25, 98, 102, 280, 182, 150, 97, 13, 9, 0], [1, 3, 25, 99, 94, 308, 126, 220, 41, 41, 1, 1], [1, 3, 25, 99, 95, 301, 147, 185, 76, 20, 8, 0], [1, 3, 25, 100, 87, 329, 91, 255, 20, 48, 0, 1], [1, 3, 25, 100, 88, 322, 112, 220, 55, 27, 7, 0], [1, 3, 25, 101, 81, 343, 77, 255, 34, 34, 6, 0], [1, 3, 25, 102, 74, 364, 42, 290, 13, 41, 5, 0], [1, 3, 26, 86, 156, 154, 350, 24, 139, 19, 0, 2], [1, 3, 26, 87, 150, 168, 336, 24, 153, 5, 6, 1], [1, 3, 26, 88, 143, 189, 301, 59, 132, 12, 5, 1], [1, 3, 26, 89, 136, 210, 266, 94, 111, 19, 4, 1], [1, 3, 26, 90, 129, 231, 231, 129, 90, 26, 3, 1], [1, 3, 26, 90, 130, 224, 252, 94, 125, 5, 10, 0], [1, 3, 26, 91, 122, 252, 196, 164, 69, 33, 2, 1], [1, 3, 26, 91, 123, 245, 217, 129, 104, 12, 9, 0], [1, 3, 26, 92, 115, 273, 161, 199, 48, 40, 1, 1], [1, 3, 26, 92, 116, 266, 182, 164, 83, 19, 8, 0], [1, 3, 26, 93, 108, 294, 126, 234, 27, 47, 0, 1], [1, 3, 26, 93, 109, 287, 147, 199, 62, 26, 7, 0], [1, 3, 26, 94, 102, 308, 112, 234, 41, 33, 6, 0], [1, 3, 26, 95, 95, 329, 77, 269, 20, 40, 5, 0], [1, 3, 27, 79, 177, 119, 385, 3, 146, 18, 0, 2], [1, 3, 27, 80, 171, 133, 371, 3, 160, 4, 6, 1], [1, 3, 27, 81, 164, 154, 336, 38, 139, 11, 5, 1], [1, 3, 27, 82, 157, 175, 301, 73, 118, 18, 4, 1], [1, 3, 27, 83, 150, 196, 266, 108, 97, 25, 3, 1], [1, 3, 27, 83, 151, 189, 287, 73, 132, 4, 10, 0], [1, 3, 27, 84, 143, 217, 231, 143, 76, 32, 2, 1], [1, 3, 27, 84, 144, 210, 252, 108, 111, 11, 9, 0], [1, 3, 27, 85, 136, 238, 196, 178, 55, 39, 1, 1], [1, 3, 27, 85, 137, 231, 217, 143, 90, 18, 8, 0], [1, 3, 27, 86, 129, 259, 161, 213, 34, 46, 0, 1], [1, 3, 27, 86, 130, 252, 182, 178, 69, 25, 7, 0], [1, 3, 27, 87, 123, 273, 147, 213, 48, 32, 6, 0], [1, 3, 27, 88, 116, 294, 112, 248, 27, 39, 5, 0], [1, 3, 27, 89, 109, 315, 77, 283, 6, 46, 4, 0], [1, 3, 28, 74, 185, 119, 371, 17, 146, 10, 5, 1], [1, 3, 28, 75, 178, 140, 336, 52, 125, 17, 4, 1], [1, 3, 28, 76, 171, 161, 301, 87, 104, 24, 3, 1], [1, 3, 28, 76, 172, 154, 322, 52, 139, 3, 10, 0], [1, 3, 28, 77, 164, 182, 266, 122, 83, 31, 2, 1], [1, 3, 28, 77, 165, 175, 287, 87, 118, 10, 9, 0], [1, 3, 28, 78, 157, 203, 231, 157, 62, 38, 1, 1], [1, 3, 28, 78, 158, 196, 252, 122, 97, 17, 8, 0], [1, 3, 28, 79, 150, 224, 196, 192, 41, 45, 0, 1], [1, 3, 28, 79, 151, 217, 217, 157, 76, 24, 7, 0], [1, 3, 28, 80, 144, 238, 182, 192, 55, 31, 6, 0], [1, 3, 28, 81, 137, 259, 147, 227, 34, 38, 5, 0], [1, 3, 28, 82, 130, 280, 112, 262, 13, 45, 4, 0], [1, 3, 29, 68, 199, 105, 371, 31, 132, 16, 4, 1], [1, 3, 29, 69, 192, 126, 336, 66, 111, 23, 3, 1], [1, 3, 29, 69, 193, 119, 357, 31, 146, 2, 10, 0], [1, 3, 29, 70, 185, 147, 301, 101, 90, 30, 2, 1], [1, 3, 29, 70, 186, 140, 322, 66, 125, 9, 9, 0], [1, 3, 29, 71, 178, 168, 266, 136, 69, 37, 1, 1], [1, 3, 29, 71, 179, 161, 287, 101, 104, 16, 8, 0], [1, 3, 29, 72, 171, 189, 231, 171, 48, 44, 0, 1], [1, 3, 29, 72, 172, 182, 252, 136, 83, 23, 7, 0], [1, 3, 29, 73, 165, 203, 217, 171, 62, 30, 6, 0], [1, 3, 29, 74, 158, 224, 182, 206, 41, 37, 5, 0], [1, 3, 29, 75, 151, 245, 147, 241, 20, 44, 4, 0], [1, 3, 30, 61, 220, 70, 406, 10, 139, 15, 4, 1], [1, 3, 30, 62, 213, 91, 371, 45, 118, 22, 3, 1], [1, 3, 30, 62, 214, 84, 392, 10, 153, 1, 10, 0], [1, 3, 30, 63, 206, 112, 336, 80, 97, 29, 2, 1], [1, 3, 30, 63, 207, 105, 357, 45, 132, 8, 9, 0], [1, 3, 30, 64, 199, 133, 301, 115, 76, 36, 1, 1], [1, 3, 30, 64, 200, 126, 322, 80, 111, 15, 8, 0], [1, 3, 30, 65, 192, 154, 266, 150, 55, 43, 0, 1], [1, 3, 30, 65, 193, 147, 287, 115, 90, 22, 7, 0], [1, 3, 30, 66, 186, 168, 252, 150, 69, 29, 6, 0], [1, 3, 30, 67, 179, 189, 217, 185, 48, 36, 5, 0], [1, 3, 30, 68, 172, 210, 182, 220, 27, 43, 4, 0], [1, 3, 30, 69, 165, 231, 147, 255, 6, 50, 3, 0], [1, 3, 31, 55, 234, 56, 406, 24, 125, 21, 3, 1], [1, 3, 31, 56, 227, 77, 371, 59, 104, 28, 2, 1], [1, 3, 31, 56, 228, 70, 392, 24, 139, 7, 9, 0], [1, 3, 31, 57, 220, 98, 336, 94, 83, 35, 1, 1], [1, 3, 31, 57, 221, 91, 357, 59, 118, 14, 8, 0], [1, 3, 31, 58, 213, 119, 301, 129, 62, 42, 0, 1], [1, 3, 31, 58, 214, 112, 322, 94, 97, 21, 7, 0], [1, 3, 31, 59, 207, 133, 287, 129, 76, 28, 6, 0], [1, 3, 31, 60, 200, 154, 252, 164, 55, 35, 5, 0], [1, 3, 31, 61, 193, 175, 217, 199, 34, 42, 4, 0], [1, 3, 31, 62, 186, 196, 182, 234, 13, 49, 3, 0], [1, 3, 32, 48, 255, 21, 441, 3, 132, 20, 3, 1], [1, 3, 32, 49, 248, 42, 406, 38, 111, 27, 2, 1], [1, 3, 32, 49, 249, 35, 427, 3, 146, 6, 9, 0], [1, 3, 32, 50, 241, 63, 371, 73, 90, 34, 1, 1], [1, 3, 32, 50, 242, 56, 392, 38, 125, 13, 8, 0], [1, 3, 32, 51, 234, 84, 336, 108, 69, 41, 0, 1], [1, 3, 32, 51, 235, 77, 357, 73, 104, 20, 7, 0], [1, 3, 32, 52, 228, 98, 322, 108, 83, 27, 6, 0], [1, 3, 32, 53, 221, 119, 287, 143, 62, 34, 5, 0], [1, 3, 32, 54, 214, 140, 252, 178, 41, 41, 4, 0], [1, 3, 32, 55, 207, 161, 217, 213, 20, 48, 3, 0], [1, 3, 33, 42, 269, 7, 441, 17, 118, 26, 2, 1], [1, 3, 33, 43, 262, 28, 406, 52, 97, 33, 1, 1], [1, 3, 33, 43, 263, 21, 427, 17, 132, 12, 8, 0], [1, 3, 33, 44, 255, 49, 371, 87, 76, 40, 0, 1], [1, 3, 33, 44, 256, 42, 392, 52, 111, 19, 7, 0], [1, 3, 33, 45, 249, 63, 357, 87, 90, 26, 6, 0], [1, 3, 33, 46, 242, 84, 322, 122, 69, 33, 5, 0], [1, 3, 33, 47, 235, 105, 287, 157, 48, 40, 4, 0], [1, 3, 33, 48, 228, 126, 252, 192, 27, 47, 3, 0], [1, 3, 33, 49, 221, 147, 217, 227, 6, 54, 2, 0], [1, 3, 34, 37, 276, 14, 406, 66, 83, 39, 0, 1], [1, 3, 34, 37, 277, 7, 427, 31, 118, 18, 7, 0], [1, 3, 34, 38, 270, 28, 392, 66, 97, 25, 6, 0], [1, 3, 34, 39, 263, 49, 357, 101, 76, 32, 5, 0], [1, 3, 34, 40, 256, 70, 322, 136, 55, 39, 4, 0], [1, 3, 34, 41, 249, 91, 287, 171, 34, 46, 3, 0], [1, 3, 34, 42, 242, 112, 252, 206, 13, 53, 2, 0], [1, 3, 35, 32, 284, 14, 392, 80, 83, 31, 5, 0], [1, 3, 35, 33, 277, 35, 357, 115, 62, 38, 4, 0], [1, 3, 35, 34, 270, 56, 322, 150, 41, 45, 3, 0], [1, 3, 35, 35, 263, 77, 287, 185, 20, 52, 2, 0], [1, 3, 36, 26, 298, 0, 392, 94, 69, 37, 4, 0], [1, 3, 36, 27, 291, 21, 357, 129, 48, 44, 3, 0], [1, 3, 36, 28, 284, 42, 322, 164, 27, 51, 2, 0], [1, 3, 36, 29, 277, 63, 287, 199, 6, 58, 1, 0], [1, 3, 37, 21, 305, 7, 357, 143, 34, 50, 2, 0], [1, 3, 37, 22, 298, 28, 322, 178, 13, 57, 1, 0], [1, 4, 13, 146, 16, 336, 224, 52, 159, 4, 3, 2], [1, 4, 13, 147, 9, 357, 189, 87, 138, 11, 2, 2], [1, 4, 13, 148, 2, 378, 154, 122, 117, 18, 1, 2], [1, 4, 14, 139, 37, 301, 259, 31, 166, 3, 3, 2], [1, 4, 14, 140, 30, 322, 224, 66, 145, 10, 2, 2], [1, 4, 14, 141, 23, 343, 189, 101, 124, 17, 1, 2], [1, 4, 14, 142, 16, 364, 154, 136, 103, 24, 0, 2], [1, 4, 14, 142, 17, 357, 175, 101, 138, 3, 7, 1], [1, 4, 14, 143, 10, 378, 140, 136, 117, 10, 6, 1], [1, 4, 14, 144, 3, 399, 105, 171, 96, 17, 5, 1], [1, 4, 15, 132, 58, 266, 294, 10, 173, 2, 3, 2], [1, 4, 15, 133, 51, 287, 259, 45, 152, 9, 2, 2], [1, 4, 15, 134, 44, 308, 224, 80, 131, 16, 1, 2], [1, 4, 15, 135, 37, 329, 189, 115, 110, 23, 0, 2], [1, 4, 15, 135, 38, 322, 210, 80, 145, 2, 7, 1], [1, 4, 15, 136, 31, 343, 175, 115, 124, 9, 6, 1], [1, 4, 15, 137, 24, 364, 140, 150, 103, 16, 5, 1], [1, 4, 15, 138, 17, 385, 105, 185, 82, 23, 4, 1], [1, 4, 15, 138, 18, 378, 126, 150, 117, 2, 11, 0], [1, 4, 15, 139, 10, 406, 70, 220, 61, 30, 3, 1], [1, 4, 15, 139, 11, 399, 91, 185, 96, 9, 10, 0], [1, 4, 15, 140, 3, 427, 35, 255, 40, 37, 2, 1], [1, 4, 15, 140, 4, 420, 56, 220, 75, 16, 9, 0], [1, 4, 16, 126, 72, 252, 294, 24, 159, 8, 2, 2], [1, 4, 16, 127, 65, 273, 259, 59, 138, 15, 1, 2], [1, 4, 16, 128, 58, 294, 224, 94, 117, 22, 0, 2], [1, 4, 16, 128, 59, 287, 245, 59, 152, 1, 7, 1], [1, 4, 16, 129, 52, 308, 210, 94, 131, 8, 6, 1], [1, 4, 16, 130, 45, 329, 175, 129, 110, 15, 5, 1], [1, 4, 16, 131, 38, 350, 140, 164, 89, 22, 4, 1], [1, 4, 16, 131, 39, 343, 161, 129, 124, 1, 11, 0], [1, 4, 16, 132, 31, 371, 105, 199, 68, 29, 3, 1], [1, 4, 16, 132, 32, 364, 126, 164, 103, 8, 10, 0], [1, 4, 16, 133, 24, 392, 70, 234, 47, 36, 2, 1], [1, 4, 16, 133, 25, 385, 91, 199, 82, 15, 9, 0], [1, 4, 16, 134, 17, 413, 35, 269, 26, 43, 1, 1], [1, 4, 16, 134, 18, 406, 56, 234, 61, 22, 8, 0], [1, 4, 16, 135, 10, 434, 0, 304, 5, 50, 0, 1], [1, 4, 16, 135, 11, 427, 21, 269, 40, 29, 7, 0], [1, 4, 17, 119, 93, 217, 329, 3, 166, 7, 2, 2], [1, 4, 17, 120, 86, 238, 294, 38, 145, 14, 1, 2], [1, 4, 17, 121, 79, 259, 259, 73, 124, 21, 0, 2], [1, 4, 17, 121, 80, 252, 280, 38, 159, 0, 7, 1], [1, 4, 17, 122, 73, 273, 245, 73, 138, 7, 6, 1], [1, 4, 17, 123, 66, 294, 210, 108, 117, 14, 5, 1], [1, 4, 17, 124, 59, 315, 175, 143, 96, 21, 4, 1], [1, 4, 17, 124, 60, 308, 196, 108, 131, 0, 11, 0], [1, 4, 17, 125, 52, 336, 140, 178, 75, 28, 3, 1], [1, 4, 17, 125, 53, 329, 161, 143, 110, 7, 10, 0], [1, 4, 17, 126, 45, 357, 105, 213, 54, 35, 2, 1], [1, 4, 17, 126, 46, 350, 126, 178, 89, 14, 9, 0], [1, 4, 17, 127, 38, 378, 70, 248, 33, 42, 1, 1], [1, 4, 17, 127, 39, 371, 91, 213, 68, 21, 8, 0], [1, 4, 17, 128, 31, 399, 35, 283, 12, 49, 0, 1], [1, 4, 17, 128, 32, 392, 56, 248, 47, 28, 7, 0], [1, 4, 17, 129, 25, 413, 21, 283, 26, 35, 6, 0], [1, 4, 18, 113, 107, 203, 329, 17, 152, 13, 1, 2], [1, 4, 18, 114, 100, 224, 294, 52, 131, 20, 0, 2], [1, 4, 18, 115, 94, 238, 280, 52, 145, 6, 6, 1], [1, 4, 18, 116, 87, 259, 245, 87, 124, 13, 5, 1], [1, 4, 18, 117, 80, 280, 210, 122, 103, 20, 4, 1], [1, 4, 18, 118, 73, 301, 175, 157, 82, 27, 3, 1], [1, 4, 18, 118, 74, 294, 196, 122, 117, 6, 10, 0], [1, 4, 18, 119, 66, 322, 140, 192, 61, 34, 2, 1], [1, 4, 18, 119, 67, 315, 161, 157, 96, 13, 9, 0], [1, 4, 18, 120, 59, 343, 105, 227, 40, 41, 1, 1], [1, 4, 18, 120, 60, 336, 126, 192, 75, 20, 8, 0], [1, 4, 18, 121, 52, 364, 70, 262, 19, 48, 0, 1], [1, 4, 18, 121, 53, 357, 91, 227, 54, 27, 7, 0], [1, 4, 18, 122, 46, 378, 56, 262, 33, 34, 6, 0], [1, 4, 18, 123, 39, 399, 21, 297, 12, 41, 5, 0], [1, 4, 19, 107, 121, 189, 329, 31, 138, 19, 0, 2], [1, 4, 19, 108, 115, 203, 315, 31, 152, 5, 6, 1], [1, 4, 19, 109, 108, 224, 280, 66, 131, 12, 5, 1], [1, 4, 19, 110, 101, 245, 245, 101, 110, 19, 4, 1], [1, 4, 19, 111, 94, 266, 210, 136, 89, 26, 3, 1], [1, 4, 19, 111, 95, 259, 231, 101, 124, 5, 10, 0], [1, 4, 19, 112, 87, 287, 175, 171, 68, 33, 2, 1], [1, 4, 19, 112, 88, 280, 196, 136, 103, 12, 9, 0], [1, 4, 19, 113, 80, 308, 140, 206, 47, 40, 1, 1], [1, 4, 19, 113, 81, 301, 161, 171, 82, 19, 8, 0], [1, 4, 19, 114, 73, 329, 105, 241, 26, 47, 0, 1], [1, 4, 19, 114, 74, 322, 126, 206, 61, 26, 7, 0], [1, 4, 19, 115, 67, 343, 91, 241, 40, 33, 6, 0], [1, 4, 19, 116, 60, 364, 56, 276, 19, 40, 5, 0], [1, 4, 20, 100, 142, 154, 364, 10, 145, 18, 0, 2], [1, 4, 20, 101, 136, 168, 350, 10, 159, 4, 6, 1], [1, 4, 20, 102, 129, 189, 315, 45, 138, 11, 5, 1], [1, 4, 20, 103, 122, 210, 280, 80, 117, 18, 4, 1], [1, 4, 20, 104, 115, 231, 245, 115, 96, 25, 3, 1], [1, 4, 20, 104, 116, 224, 266, 80, 131, 4, 10, 0], [1, 4, 20, 105, 108, 252, 210, 150, 75, 32, 2, 1], [1, 4, 20, 105, 109, 245, 231, 115, 110, 11, 9, 0], [1, 4, 20, 106, 101, 273, 175, 185, 54, 39, 1, 1], [1, 4, 20, 106, 102, 266, 196, 150, 89, 18, 8, 0], [1, 4, 20, 107, 94, 294, 140, 220, 33, 46, 0, 1], [1, 4, 20, 107, 95, 287, 161, 185, 68, 25, 7, 0], [1, 4, 20, 108, 88, 308, 126, 220, 47, 32, 6, 0], [1, 4, 20, 109, 81, 329, 91, 255, 26, 39, 5, 0], [1, 4, 20, 110, 74, 350, 56, 290, 5, 46, 4, 0], [1, 4, 21, 95, 150, 154, 350, 24, 145, 10, 5, 1], [1, 4, 21, 96, 143, 175, 315, 59, 124, 17, 4, 1], [1, 4, 21, 97, 136, 196, 280, 94, 103, 24, 3, 1], [1, 4, 21, 97, 137, 189, 301, 59, 138, 3, 10, 0], [1, 4, 21, 98, 129, 217, 245, 129, 82, 31, 2, 1], [1, 4, 21, 98, 130, 210, 266, 94, 117, 10, 9, 0], [1, 4, 21, 99, 122, 238, 210, 164, 61, 38, 1, 1], [1, 4, 21, 99, 123, 231, 231, 129, 96, 17, 8, 0], [1, 4, 21, 100, 115, 259, 175, 199, 40, 45, 0, 1], [1, 4, 21, 100, 116, 252, 196, 164, 75, 24, 7, 0], [1, 4, 21, 101, 109, 273, 161, 199, 54, 31, 6, 0], [1, 4, 21, 102, 102, 294, 126, 234, 33, 38, 5, 0], [1, 4, 21, 103, 95, 315, 91, 269, 12, 45, 4, 0], [1, 4, 22, 88, 171, 119, 385, 3, 152, 9, 5, 1], [1, 4, 22, 89, 164, 140, 350, 38, 131, 16, 4, 1], [1, 4, 22, 90, 157, 161, 315, 73, 110, 23, 3, 1], [1, 4, 22, 90, 158, 154, 336, 38, 145, 2, 10, 0], [1, 4, 22, 91, 150, 182, 280, 108, 89, 30, 2, 1], [1, 4, 22, 91, 151, 175, 301, 73, 124, 9, 9, 0], [1, 4, 22, 92, 143, 203, 245, 143, 68, 37, 1, 1], [1, 4, 22, 92, 144, 196, 266, 108, 103, 16, 8, 0], [1, 4, 22, 93, 136, 224, 210, 178, 47, 44, 0, 1], [1, 4, 22, 93, 137, 217, 231, 143, 82, 23, 7, 0], [1, 4, 22, 94, 130, 238, 196, 178, 61, 30, 6, 0], [1, 4, 22, 95, 123, 259, 161, 213, 40, 37, 5, 0], [1, 4, 22, 96, 116, 280, 126, 248, 19, 44, 4, 0], [1, 4, 23, 82, 185, 105, 385, 17, 138, 15, 4, 1], [1, 4, 23, 83, 178, 126, 350, 52, 117, 22, 3, 1], [1, 4, 23, 83, 179, 119, 371, 17, 152, 1, 10, 0], [1, 4, 23, 84, 171, 147, 315, 87, 96, 29, 2, 1], [1, 4, 23, 84, 172, 140, 336, 52, 131, 8, 9, 0], [1, 4, 23, 85, 164, 168, 280, 122, 75, 36, 1, 1], [1, 4, 23, 85, 165, 161, 301, 87, 110, 15, 8, 0], [1, 4, 23, 86, 157, 189, 245, 157, 54, 43, 0, 1], [1, 4, 23, 86, 158, 182, 266, 122, 89, 22, 7, 0], [1, 4, 23, 87, 151, 203, 231, 157, 68, 29, 6, 0], [1, 4, 23, 88, 144, 224, 196, 192, 47, 36, 5, 0], [1, 4, 23, 89, 137, 245, 161, 227, 26, 43, 4, 0], [1, 4, 23, 90, 130, 266, 126, 262, 5, 50, 3, 0], [1, 4, 24, 76, 199, 91, 385, 31, 124, 21, 3, 1], [1, 4, 24, 77, 192, 112, 350, 66, 103, 28, 2, 1], [1, 4, 24, 77, 193, 105, 371, 31, 138, 7, 9, 0], [1, 4, 24, 78, 185, 133, 315, 101, 82, 35, 1, 1], [1, 4, 24, 78, 186, 126, 336, 66, 117, 14, 8, 0], [1, 4, 24, 79, 178, 154, 280, 136, 61, 42, 0, 1], [1, 4, 24, 79, 179, 147, 301, 101, 96, 21, 7, 0], [1, 4, 24, 80, 172, 168, 266, 136, 75, 28, 6, 0], [1, 4, 24, 81, 165, 189, 231, 171, 54, 35, 5, 0], [1, 4, 24, 82, 158, 210, 196, 206, 33, 42, 4, 0], [1, 4, 24, 83, 151, 231, 161, 241, 12, 49, 3, 0], [1, 4, 25, 69, 220, 56, 420, 10, 131, 20, 3, 1], [1, 4, 25, 70, 213, 77, 385, 45, 110, 27, 2, 1], [1, 4, 25, 70, 214, 70, 406, 10, 145, 6, 9, 0], [1, 4, 25, 71, 206, 98, 350, 80, 89, 34, 1, 1], [1, 4, 25, 71, 207, 91, 371, 45, 124, 13, 8, 0], [1, 4, 25, 72, 199, 119, 315, 115, 68, 41, 0, 1], [1, 4, 25, 72, 200, 112, 336, 80, 103, 20, 7, 0], [1, 4, 25, 73, 193, 133, 301, 115, 82, 27, 6, 0], [1, 4, 25, 74, 186, 154, 266, 150, 61, 34, 5, 0], [1, 4, 25, 75, 179, 175, 231, 185, 40, 41, 4, 0], [1, 4, 25, 76, 172, 196, 196, 220, 19, 48, 3, 0], [1, 4, 26, 63, 234, 42, 420, 24, 117, 26, 2, 1], [1, 4, 26, 64, 227, 63, 385, 59, 96, 33, 1, 1], [1, 4, 26, 64, 228, 56, 406, 24, 131, 12, 8, 0], [1, 4, 26, 65, 220, 84, 350, 94, 75, 40, 0, 1], [1, 4, 26, 65, 221, 77, 371, 59, 110, 19, 7, 0], [1, 4, 26, 66, 214, 98, 336, 94, 89, 26, 6, 0], [1, 4, 26, 67, 207, 119, 301, 129, 68, 33, 5, 0], [1, 4, 26, 68, 200, 140, 266, 164, 47, 40, 4, 0], [1, 4, 26, 69, 193, 161, 231, 199, 26, 47, 3, 0], [1, 4, 26, 70, 186, 182, 196, 234, 5, 54, 2, 0], [1, 4, 27, 56, 255, 7, 455, 3, 124, 25, 2, 1], [1, 4, 27, 57, 248, 28, 420, 38, 103, 32, 1, 1], [1, 4, 27, 57, 249, 21, 441, 3, 138, 11, 8, 0], [1, 4, 27, 58, 241, 49, 385, 73, 82, 39, 0, 1], [1, 4, 27, 58, 242, 42, 406, 38, 117, 18, 7, 0], [1, 4, 27, 59, 235, 63, 371, 73, 96, 25, 6, 0], [1, 4, 27, 60, 228, 84, 336, 108, 75, 32, 5, 0], [1, 4, 27, 61, 221, 105, 301, 143, 54, 39, 4, 0], [1, 4, 27, 62, 214, 126, 266, 178, 33, 46, 3, 0], [1, 4, 27, 63, 207, 147, 231, 213, 12, 53, 2, 0], [1, 4, 28, 51, 262, 14, 420, 52, 89, 38, 0, 1], [1, 4, 28, 51, 263, 7, 441, 17, 124, 17, 7, 0], [1, 4, 28, 52, 256, 28, 406, 52, 103, 24, 6, 0], [1, 4, 28, 53, 249, 49, 371, 87, 82, 31, 5, 0], [1, 4, 28, 54, 242, 70, 336, 122, 61, 38, 4, 0], [1, 4, 28, 55, 235, 91, 301, 157, 40, 45, 3, 0], [1, 4, 28, 56, 228, 112, 266, 192, 19, 52, 2, 0], [1, 4, 29, 46, 270, 14, 406, 66, 89, 30, 5, 0], [1, 4, 29, 47, 263, 35, 371, 101, 68, 37, 4, 0], [1, 4, 29, 48, 256, 56, 336, 136, 47, 44, 3, 0], [1, 4, 29, 49, 249, 77, 301, 171, 26, 51, 2, 0], [1, 4, 29, 50, 242, 98, 266, 206, 5, 58, 1, 0], [1, 4, 30, 40, 284, 0, 406, 80, 75, 36, 4, 0], [1, 4, 30, 41, 277, 21, 371, 115, 54, 43, 3, 0], [1, 4, 30, 42, 270, 42, 336, 150, 33, 50, 2, 0], [1, 4, 30, 43, 263, 63, 301, 185, 12, 57, 1, 0], [1, 4, 31, 35, 291, 7, 371, 129, 40, 49, 2, 0], [1, 4, 31, 36, 284, 28, 336, 164, 19, 56, 1, 0], [1, 4, 32, 30, 298, 14, 336, 178, 5, 62, 0, 0], [1, 5, 7, 160, 2, 336, 238, 38, 165, 3, 3, 2], [1, 5, 8, 153, 23, 301, 273, 17, 172, 2, 3, 2], [1, 5, 8, 154, 16, 322, 238, 52, 151, 9, 2, 2], [1, 5, 8, 155, 9, 343, 203, 87, 130, 16, 1, 2], [1, 5, 8, 156, 2, 364, 168, 122, 109, 23, 0, 2], [1, 5, 8, 156, 3, 357, 189, 87, 144, 2, 7, 1], [1, 5, 9, 147, 37, 287, 273, 31, 158, 8, 2, 2], [1, 5, 9, 148, 30, 308, 238, 66, 137, 15, 1, 2], [1, 5, 9, 149, 23, 329, 203, 101, 116, 22, 0, 2], [1, 5, 9, 149, 24, 322, 224, 66, 151, 1, 7, 1], [1, 5, 9, 150, 17, 343, 189, 101, 130, 8, 6, 1], [1, 5, 9, 151, 10, 364, 154, 136, 109, 15, 5, 1], [1, 5, 9, 152, 3, 385, 119, 171, 88, 22, 4, 1], [1, 5, 9, 152, 4, 378, 140, 136, 123, 1, 11, 0], [1, 5, 10, 140, 58, 252, 308, 10, 165, 7, 2, 2], [1, 5, 10, 141, 51, 273, 273, 45, 144, 14, 1, 2], [1, 5, 10, 142, 44, 294, 238, 80, 123, 21, 0, 2], [1, 5, 10, 142, 45, 287, 259, 45, 158, 0, 7, 1], [1, 5, 10, 143, 38, 308, 224, 80, 137, 7, 6, 1], [1, 5, 10, 144, 31, 329, 189, 115, 116, 14, 5, 1], [1, 5, 10, 145, 24, 350, 154, 150, 95, 21, 4, 1], [1, 5, 10, 145, 25, 343, 175, 115, 130, 0, 11, 0], [1, 5, 10, 146, 17, 371, 119, 185, 74, 28, 3, 1], [1, 5, 10, 146, 18, 364, 140, 150, 109, 7, 10, 0], [1, 5, 10, 147, 10, 392, 84, 220, 53, 35, 2, 1], [1, 5, 10, 147, 11, 385, 105, 185, 88, 14, 9, 0], [1, 5, 10, 148, 3, 413, 49, 255, 32, 42, 1, 1], [1, 5, 10, 148, 4, 406, 70, 220, 67, 21, 8, 0], [1, 5, 11, 134, 72, 238, 308, 24, 151, 13, 1, 2], [1, 5, 11, 135, 65, 259, 273, 59, 130, 20, 0, 2], [1, 5, 11, 136, 59, 273, 259, 59, 144, 6, 6, 1], [1, 5, 11, 137, 52, 294, 224, 94, 123, 13, 5, 1], [1, 5, 11, 138, 45, 315, 189, 129, 102, 20, 4, 1], [1, 5, 11, 139, 38, 336, 154, 164, 81, 27, 3, 1], [1, 5, 11, 139, 39, 329, 175, 129, 116, 6, 10, 0], [1, 5, 11, 140, 31, 357, 119, 199, 60, 34, 2, 1], [1, 5, 11, 140, 32, 350, 140, 164, 95, 13, 9, 0], [1, 5, 11, 141, 24, 378, 84, 234, 39, 41, 1, 1], [1, 5, 11, 141, 25, 371, 105, 199, 74, 20, 8, 0], [1, 5, 11, 142, 17, 399, 49, 269, 18, 48, 0, 1], [1, 5, 11, 142, 18, 392, 70, 234, 53, 27, 7, 0], [1, 5, 11, 143, 11, 413, 35, 269, 32, 34, 6, 0], [1, 5, 11, 144, 4, 434, 0, 304, 11, 41, 5, 0], [1, 5, 12, 127, 93, 203, 343, 3, 158, 12, 1, 2], [1, 5, 12, 128, 86, 224, 308, 38, 137, 19, 0, 2], [1, 5, 12, 129, 80, 238, 294, 38, 151, 5, 6, 1], [1, 5, 12, 130, 73, 259, 259, 73, 130, 12, 5, 1], [1, 5, 12, 131, 66, 280, 224, 108, 109, 19, 4, 1], [1, 5, 12, 132, 59, 301, 189, 143, 88, 26, 3, 1], [1, 5, 12, 132, 60, 294, 210, 108, 123, 5, 10, 0], [1, 5, 12, 133, 52, 322, 154, 178, 67, 33, 2, 1], [1, 5, 12, 133, 53, 315, 175, 143, 102, 12, 9, 0], [1, 5, 12, 134, 45, 343, 119, 213, 46, 40, 1, 1], [1, 5, 12, 134, 46, 336, 140, 178, 81, 19, 8, 0], [1, 5, 12, 135, 38, 364, 84, 248, 25, 47, 0, 1], [1, 5, 12, 135, 39, 357, 105, 213, 60, 26, 7, 0], [1, 5, 12, 136, 32, 378, 70, 248, 39, 33, 6, 0], [1, 5, 12, 137, 25, 399, 35, 283, 18, 40, 5, 0], [1, 5, 13, 121, 107, 189, 343, 17, 144, 18, 0, 2], [1, 5, 13, 122, 101, 203, 329, 17, 158, 4, 6, 1], [1, 5, 13, 123, 94, 224, 294, 52, 137, 11, 5, 1], [1, 5, 13, 124, 87, 245, 259, 87, 116, 18, 4, 1], [1, 5, 13, 125, 80, 266, 224, 122, 95, 25, 3, 1], [1, 5, 13, 125, 81, 259, 245, 87, 130, 4, 10, 0], [1, 5, 13, 126, 73, 287, 189, 157, 74, 32, 2, 1], [1, 5, 13, 126, 74, 280, 210, 122, 109, 11, 9, 0], [1, 5, 13, 127, 66, 308, 154, 192, 53, 39, 1, 1], [1, 5, 13, 127, 67, 301, 175, 157, 88, 18, 8, 0], [1, 5, 13, 128, 59, 329, 119, 227, 32, 46, 0, 1], [1, 5, 13, 128, 60, 322, 140, 192, 67, 25, 7, 0], [1, 5, 13, 129, 53, 343, 105, 227, 46, 32, 6, 0], [1, 5, 13, 130, 46, 364, 70, 262, 25, 39, 5, 0], [1, 5, 13, 131, 39, 385, 35, 297, 4, 46, 4, 0], [1, 5, 14, 116, 115, 189, 329, 31, 144, 10, 5, 1], [1, 5, 14, 117, 108, 210, 294, 66, 123, 17, 4, 1], [1, 5, 14, 118, 101, 231, 259, 101, 102, 24, 3, 1], [1, 5, 14, 118, 102, 224, 280, 66, 137, 3, 10, 0], [1, 5, 14, 119, 94, 252, 224, 136, 81, 31, 2, 1], [1, 5, 14, 119, 95, 245, 245, 101, 116, 10, 9, 0], [1, 5, 14, 120, 87, 273, 189, 171, 60, 38, 1, 1], [1, 5, 14, 120, 88, 266, 210, 136, 95, 17, 8, 0], [1, 5, 14, 121, 80, 294, 154, 206, 39, 45, 0, 1], [1, 5, 14, 121, 81, 287, 175, 171, 74, 24, 7, 0], [1, 5, 14, 122, 74, 308, 140, 206, 53, 31, 6, 0], [1, 5, 14, 123, 67, 329, 105, 241, 32, 38, 5, 0], [1, 5, 14, 124, 60, 350, 70, 276, 11, 45, 4, 0], [1, 5, 15, 109, 136, 154, 364, 10, 151, 9, 5, 1], [1, 5, 15, 110, 129, 175, 329, 45, 130, 16, 4, 1], [1, 5, 15, 111, 122, 196, 294, 80, 109, 23, 3, 1], [1, 5, 15, 111, 123, 189, 315, 45, 144, 2, 10, 0], [1, 5, 15, 112, 115, 217, 259, 115, 88, 30, 2, 1], [1, 5, 15, 112, 116, 210, 280, 80, 123, 9, 9, 0], [1, 5, 15, 113, 108, 238, 224, 150, 67, 37, 1, 1], [1, 5, 15, 113, 109, 231, 245, 115, 102, 16, 8, 0], [1, 5, 15, 114, 101, 259, 189, 185, 46, 44, 0, 1], [1, 5, 15, 114, 102, 252, 210, 150, 81, 23, 7, 0], [1, 5, 15, 115, 95, 273, 175, 185, 60, 30, 6, 0], [1, 5, 15, 116, 88, 294, 140, 220, 39, 37, 5, 0], [1, 5, 15, 117, 81, 315, 105, 255, 18, 44, 4, 0], [1, 5, 16, 103, 150, 140, 364, 24, 137, 15, 4, 1], [1, 5, 16, 104, 143, 161, 329, 59, 116, 22, 3, 1], [1, 5, 16, 104, 144, 154, 350, 24, 151, 1, 10, 0], [1, 5, 16, 105, 136, 182, 294, 94, 95, 29, 2, 1], [1, 5, 16, 105, 137, 175, 315, 59, 130, 8, 9, 0], [1, 5, 16, 106, 129, 203, 259, 129, 74, 36, 1, 1], [1, 5, 16, 106, 130, 196, 280, 94, 109, 15, 8, 0], [1, 5, 16, 107, 122, 224, 224, 164, 53, 43, 0, 1], [1, 5, 16, 107, 123, 217, 245, 129, 88, 22, 7, 0], [1, 5, 16, 108, 116, 238, 210, 164, 67, 29, 6, 0], [1, 5, 16, 109, 109, 259, 175, 199, 46, 36, 5, 0], [1, 5, 16, 110, 102, 280, 140, 234, 25, 43, 4, 0], [1, 5, 16, 111, 95, 301, 105, 269, 4, 50, 3, 0], [1, 5, 17, 96, 171, 105, 399, 3, 144, 14, 4, 1], [1, 5, 17, 97, 164, 126, 364, 38, 123, 21, 3, 1], [1, 5, 17, 97, 165, 119, 385, 3, 158, 0, 10, 0], [1, 5, 17, 98, 157, 147, 329, 73, 102, 28, 2, 1], [1, 5, 17, 98, 158, 140, 350, 38, 137, 7, 9, 0], [1, 5, 17, 99, 150, 168, 294, 108, 81, 35, 1, 1], [1, 5, 17, 99, 151, 161, 315, 73, 116, 14, 8, 0], [1, 5, 17, 100, 143, 189, 259, 143, 60, 42, 0, 1], [1, 5, 17, 100, 144, 182, 280, 108, 95, 21, 7, 0], [1, 5, 17, 101, 137, 203, 245, 143, 74, 28, 6, 0], [1, 5, 17, 102, 130, 224, 210, 178, 53, 35, 5, 0], [1, 5, 17, 103, 123, 245, 175, 213, 32, 42, 4, 0], [1, 5, 17, 104, 116, 266, 140, 248, 11, 49, 3, 0], [1, 5, 18, 90, 185, 91, 399, 17, 130, 20, 3, 1], [1, 5, 18, 91, 178, 112, 364, 52, 109, 27, 2, 1], [1, 5, 18, 91, 179, 105, 385, 17, 144, 6, 9, 0], [1, 5, 18, 92, 171, 133, 329, 87, 88, 34, 1, 1], [1, 5, 18, 92, 172, 126, 350, 52, 123, 13, 8, 0], [1, 5, 18, 93, 164, 154, 294, 122, 67, 41, 0, 1], [1, 5, 18, 93, 165, 147, 315, 87, 102, 20, 7, 0], [1, 5, 18, 94, 158, 168, 280, 122, 81, 27, 6, 0], [1, 5, 18, 95, 151, 189, 245, 157, 60, 34, 5, 0], [1, 5, 18, 96, 144, 210, 210, 192, 39, 41, 4, 0], [1, 5, 18, 97, 137, 231, 175, 227, 18, 48, 3, 0], [1, 5, 19, 84, 199, 77, 399, 31, 116, 26, 2, 1], [1, 5, 19, 85, 192, 98, 364, 66, 95, 33, 1, 1], [1, 5, 19, 85, 193, 91, 385, 31, 130, 12, 8, 0], [1, 5, 19, 86, 185, 119, 329, 101, 74, 40, 0, 1], [1, 5, 19, 86, 186, 112, 350, 66, 109, 19, 7, 0], [1, 5, 19, 87, 179, 133, 315, 101, 88, 26, 6, 0], [1, 5, 19, 88, 172, 154, 280, 136, 67, 33, 5, 0], [1, 5, 19, 89, 165, 175, 245, 171, 46, 40, 4, 0], [1, 5, 19, 90, 158, 196, 210, 206, 25, 47, 3, 0], [1, 5, 19, 91, 151, 217, 175, 241, 4, 54, 2, 0], [1, 5, 20, 77, 220, 42, 434, 10, 123, 25, 2, 1], [1, 5, 20, 78, 213, 63, 399, 45, 102, 32, 1, 1], [1, 5, 20, 78, 214, 56, 420, 10, 137, 11, 8, 0], [1, 5, 20, 79, 206, 84, 364, 80, 81, 39, 0, 1], [1, 5, 20, 79, 207, 77, 385, 45, 116, 18, 7, 0], [1, 5, 20, 80, 200, 98, 350, 80, 95, 25, 6, 0], [1, 5, 20, 81, 193, 119, 315, 115, 74, 32, 5, 0], [1, 5, 20, 82, 186, 140, 280, 150, 53, 39, 4, 0], [1, 5, 20, 83, 179, 161, 245, 185, 32, 46, 3, 0], [1, 5, 20, 84, 172, 182, 210, 220, 11, 53, 2, 0], [1, 5, 21, 71, 234, 28, 434, 24, 109, 31, 1, 1], [1, 5, 21, 72, 227, 49, 399, 59, 88, 38, 0, 1], [1, 5, 21, 72, 228, 42, 420, 24, 123, 17, 7, 0], [1, 5, 21, 73, 221, 63, 385, 59, 102, 24, 6, 0], [1, 5, 21, 74, 214, 84, 350, 94, 81, 31, 5, 0], [1, 5, 21, 75, 207, 105, 315, 129, 60, 38, 4, 0], [1, 5, 21, 76, 200, 126, 280, 164, 39, 45, 3, 0], [1, 5, 21, 77, 193, 147, 245, 199, 18, 52, 2, 0], [1, 5, 22, 65, 248, 14, 434, 38, 95, 37, 0, 1], [1, 5, 22, 65, 249, 7, 455, 3, 130, 16, 7, 0], [1, 5, 22, 66, 242, 28, 420, 38, 109, 23, 6, 0], [1, 5, 22, 67, 235, 49, 385, 73, 88, 30, 5, 0], [1, 5, 22, 68, 228, 70, 350, 108, 67, 37, 4, 0], [1, 5, 22, 69, 221, 91, 315, 143, 46, 44, 3, 0], [1, 5, 22, 70, 214, 112, 280, 178, 25, 51, 2, 0], [1, 5, 22, 71, 207, 133, 245, 213, 4, 58, 1, 0], [1, 5, 23, 60, 256, 14, 420, 52, 95, 29, 5, 0], [1, 5, 23, 61, 249, 35, 385, 87, 74, 36, 4, 0], [1, 5, 23, 62, 242, 56, 350, 122, 53, 43, 3, 0], [1, 5, 23, 63, 235, 77, 315, 157, 32, 50, 2, 0], [1, 5, 23, 64, 228, 98, 280, 192, 11, 57, 1, 0], [1, 5, 24, 54, 270, 0, 420, 66, 81, 35, 4, 0], [1, 5, 24, 55, 263, 21, 385, 101, 60, 42, 3, 0], [1, 5, 24, 56, 256, 42, 350, 136, 39, 49, 2, 0], [1, 5, 24, 57, 249, 63, 315, 171, 18, 56, 1, 0], [1, 5, 25, 49, 277, 7, 385, 115, 46, 48, 2, 0], [1, 5, 25, 50, 270, 28, 350, 150, 25, 55, 1, 0], [1, 5, 25, 51, 263, 49, 315, 185, 4, 62, 0, 0], [1, 5, 26, 44, 284, 14, 350, 164, 11, 61, 0, 0], [1, 6, 2, 167, 9, 301, 287, 3, 178, 1, 3, 2], [1, 6, 2, 168, 2, 322, 252, 38, 157, 8, 2, 2], [1, 6, 3, 161, 23, 287, 287, 17, 164, 7, 2, 2], [1, 6, 3, 162, 16, 308, 252, 52, 143, 14, 1, 2], [1, 6, 3, 163, 9, 329, 217, 87, 122, 21, 0, 2], [1, 6, 3, 163, 10, 322, 238, 52, 157, 0, 7, 1], [1, 6, 3, 164, 3, 343, 203, 87, 136, 7, 6, 1], [1, 6, 4, 155, 37, 273, 287, 31, 150, 13, 1, 2], [1, 6, 4, 156, 30, 294, 252, 66, 129, 20, 0, 2], [1, 6, 4, 157, 24, 308, 238, 66, 143, 6, 6, 1], [1, 6, 4, 158, 17, 329, 203, 101, 122, 13, 5, 1], [1, 6, 4, 159, 10, 350, 168, 136, 101, 20, 4, 1], [1, 6, 4, 160, 3, 371, 133, 171, 80, 27, 3, 1], [1, 6, 4, 160, 4, 364, 154, 136, 115, 6, 10, 0], [1, 6, 5, 148, 58, 238, 322, 10, 157, 12, 1, 2], [1, 6, 5, 149, 51, 259, 287, 45, 136, 19, 0, 2], [1, 6, 5, 150, 45, 273, 273, 45, 150, 5, 6, 1], [1, 6, 5, 151, 38, 294, 238, 80, 129, 12, 5, 1], [1, 6, 5, 152, 31, 315, 203, 115, 108, 19, 4, 1], [1, 6, 5, 153, 24, 336, 168, 150, 87, 26, 3, 1], [1, 6, 5, 153, 25, 329, 189, 115, 122, 5, 10, 0], [1, 6, 5, 154, 17, 357, 133, 185, 66, 33, 2, 1], [1, 6, 5, 154, 18, 350, 154, 150, 101, 12, 9, 0], [1, 6, 5, 155, 10, 378, 98, 220, 45, 40, 1, 1], [1, 6, 5, 155, 11, 371, 119, 185, 80, 19, 8, 0], [1, 6, 5, 156, 3, 399, 63, 255, 24, 47, 0, 1], [1, 6, 5, 156, 4, 392, 84, 220, 59, 26, 7, 0], [1, 6, 6, 142, 72, 224, 322, 24, 143, 18, 0, 2], [1, 6, 6, 143, 66, 238, 308, 24, 157, 4, 6, 1], [1, 6, 6, 144, 59, 259, 273, 59, 136, 11, 5, 1], [1, 6, 6, 145, 52, 280, 238, 94, 115, 18, 4, 1], [1, 6, 6, 146, 45, 301, 203, 129, 94, 25, 3, 1], [1, 6, 6, 146, 46, 294, 224, 94, 129, 4, 10, 0], [1, 6, 6, 147, 38, 322, 168, 164, 73, 32, 2, 1], [1, 6, 6, 147, 39, 315, 189, 129, 108, 11, 9, 0], [1, 6, 6, 148, 31, 343, 133, 199, 52, 39, 1, 1], [1, 6, 6, 148, 32, 336, 154, 164, 87, 18, 8, 0], [1, 6, 6, 149, 24, 364, 98, 234, 31, 46, 0, 1], [1, 6, 6, 149, 25, 357, 119, 199, 66, 25, 7, 0], [1, 6, 6, 150, 18, 378, 84, 234, 45, 32, 6, 0], [1, 6, 6, 151, 11, 399, 49, 269, 24, 39, 5, 0], [1, 6, 6, 152, 4, 420, 14, 304, 3, 46, 4, 0], [1, 6, 7, 135, 93, 189, 357, 3, 150, 17, 0, 2], [1, 6, 7, 136, 87, 203, 343, 3, 164, 3, 6, 1], [1, 6, 7, 137, 80, 224, 308, 38, 143, 10, 5, 1], [1, 6, 7, 138, 73, 245, 273, 73, 122, 17, 4, 1], [1, 6, 7, 139, 66, 266, 238, 108, 101, 24, 3, 1], [1, 6, 7, 139, 67, 259, 259, 73, 136, 3, 10, 0], [1, 6, 7, 140, 59, 287, 203, 143, 80, 31, 2, 1], [1, 6, 7, 140, 60, 280, 224, 108, 115, 10, 9, 0], [1, 6, 7, 141, 52, 308, 168, 178, 59, 38, 1, 1], [1, 6, 7, 141, 53, 301, 189, 143, 94, 17, 8, 0], [1, 6, 7, 142, 45, 329, 133, 213, 38, 45, 0, 1], [1, 6, 7, 142, 46, 322, 154, 178, 73, 24, 7, 0], [1, 6, 7, 143, 39, 343, 119, 213, 52, 31, 6, 0], [1, 6, 7, 144, 32, 364, 84, 248, 31, 38, 5, 0], [1, 6, 7, 145, 25, 385, 49, 283, 10, 45, 4, 0], [1, 6, 8, 130, 101, 189, 343, 17, 150, 9, 5, 1], [1, 6, 8, 131, 94, 210, 308, 52, 129, 16, 4, 1], [1, 6, 8, 132, 87, 231, 273, 87, 108, 23, 3, 1], [1, 6, 8, 132, 88, 224, 294, 52, 143, 2, 10, 0], [1, 6, 8, 133, 80, 252, 238, 122, 87, 30, 2, 1], [1, 6, 8, 133, 81, 245, 259, 87, 122, 9, 9, 0], [1, 6, 8, 134, 73, 273, 203, 157, 66, 37, 1, 1], [1, 6, 8, 134, 74, 266, 224, 122, 101, 16, 8, 0], [1, 6, 8, 135, 66, 294, 168, 192, 45, 44, 0, 1], [1, 6, 8, 135, 67, 287, 189, 157, 80, 23, 7, 0], [1, 6, 8, 136, 60, 308, 154, 192, 59, 30, 6, 0], [1, 6, 8, 137, 53, 329, 119, 227, 38, 37, 5, 0], [1, 6, 8, 138, 46, 350, 84, 262, 17, 44, 4, 0], [1, 6, 9, 124, 115, 175, 343, 31, 136, 15, 4, 1], [1, 6, 9, 125, 108, 196, 308, 66, 115, 22, 3, 1], [1, 6, 9, 125, 109, 189, 329, 31, 150, 1, 10, 0], [1, 6, 9, 126, 101, 217, 273, 101, 94, 29, 2, 1], [1, 6, 9, 126, 102, 210, 294, 66, 129, 8, 9, 0], [1, 6, 9, 127, 94, 238, 238, 136, 73, 36, 1, 1], [1, 6, 9, 127, 95, 231, 259, 101, 108, 15, 8, 0], [1, 6, 9, 128, 87, 259, 203, 171, 52, 43, 0, 1], [1, 6, 9, 128, 88, 252, 224, 136, 87, 22, 7, 0], [1, 6, 9, 129, 81, 273, 189, 171, 66, 29, 6, 0], [1, 6, 9, 130, 74, 294, 154, 206, 45, 36, 5, 0], [1, 6, 9, 131, 67, 315, 119, 241, 24, 43, 4, 0], [1, 6, 9, 132, 60, 336, 84, 276, 3, 50, 3, 0], [1, 6, 10, 117, 136, 140, 378, 10, 143, 14, 4, 1], [1, 6, 10, 118, 129, 161, 343, 45, 122, 21, 3, 1], [1, 6, 10, 118, 130, 154, 364, 10, 157, 0, 10, 0], [1, 6, 10, 119, 122, 182, 308, 80, 101, 28, 2, 1], [1, 6, 10, 119, 123, 175, 329, 45, 136, 7, 9, 0], [1, 6, 10, 120, 115, 203, 273, 115, 80, 35, 1, 1], [1, 6, 10, 120, 116, 196, 294, 80, 115, 14, 8, 0], [1, 6, 10, 121, 108, 224, 238, 150, 59, 42, 0, 1], [1, 6, 10, 121, 109, 217, 259, 115, 94, 21, 7, 0], [1, 6, 10, 122, 102, 238, 224, 150, 73, 28, 6, 0], [1, 6, 10, 123, 95, 259, 189, 185, 52, 35, 5, 0], [1, 6, 10, 124, 88, 280, 154, 220, 31, 42, 4, 0], [1, 6, 10, 125, 81, 301, 119, 255, 10, 49, 3, 0], [1, 6, 11, 111, 150, 126, 378, 24, 129, 20, 3, 1], [1, 6, 11, 112, 143, 147, 343, 59, 108, 27, 2, 1], [1, 6, 11, 112, 144, 140, 364, 24, 143, 6, 9, 0], [1, 6, 11, 113, 136, 168, 308, 94, 87, 34, 1, 1], [1, 6, 11, 113, 137, 161, 329, 59, 122, 13, 8, 0], [1, 6, 11, 114, 129, 189, 273, 129, 66, 41, 0, 1], [1, 6, 11, 114, 130, 182, 294, 94, 101, 20, 7, 0], [1, 6, 11, 115, 123, 203, 259, 129, 80, 27, 6, 0], [1, 6, 11, 116, 116, 224, 224, 164, 59, 34, 5, 0], [1, 6, 11, 117, 109, 245, 189, 199, 38, 41, 4, 0], [1, 6, 11, 118, 102, 266, 154, 234, 17, 48, 3, 0], [1, 6, 12, 104, 171, 91, 413, 3, 136, 19, 3, 1], [1, 6, 12, 105, 164, 112, 378, 38, 115, 26, 2, 1], [1, 6, 12, 105, 165, 105, 399, 3, 150, 5, 9, 0], [1, 6, 12, 106, 157, 133, 343, 73, 94, 33, 1, 1], [1, 6, 12, 106, 158, 126, 364, 38, 129, 12, 8, 0], [1, 6, 12, 107, 150, 154, 308, 108, 73, 40, 0, 1], [1, 6, 12, 107, 151, 147, 329, 73, 108, 19, 7, 0], [1, 6, 12, 108, 144, 168, 294, 108, 87, 26, 6, 0], [1, 6, 12, 109, 137, 189, 259, 143, 66, 33, 5, 0], [1, 6, 12, 110, 130, 210, 224, 178, 45, 40, 4, 0], [1, 6, 12, 111, 123, 231, 189, 213, 24, 47, 3, 0], [1, 6, 12, 112, 116, 252, 154, 248, 3, 54, 2, 0], [1, 6, 13, 98, 185, 77, 413, 17, 122, 25, 2, 1], [1, 6, 13, 99, 178, 98, 378, 52, 101, 32, 1, 1], [1, 6, 13, 99, 179, 91, 399, 17, 136, 11, 8, 0], [1, 6, 13, 100, 171, 119, 343, 87, 80, 39, 0, 1], [1, 6, 13, 100, 172, 112, 364, 52, 115, 18, 7, 0], [1, 6, 13, 101, 165, 133, 329, 87, 94, 25, 6, 0], [1, 6, 13, 102, 158, 154, 294, 122, 73, 32, 5, 0], [1, 6, 13, 103, 151, 175, 259, 157, 52, 39, 4, 0], [1, 6, 13, 104, 144, 196, 224, 192, 31, 46, 3, 0], [1, 6, 13, 105, 137, 217, 189, 227, 10, 53, 2, 0], [1, 6, 14, 92, 199, 63, 413, 31, 108, 31, 1, 1], [1, 6, 14, 93, 192, 84, 378, 66, 87, 38, 0, 1], [1, 6, 14, 93, 193, 77, 399, 31, 122, 17, 7, 0], [1, 6, 14, 94, 186, 98, 364, 66, 101, 24, 6, 0], [1, 6, 14, 95, 179, 119, 329, 101, 80, 31, 5, 0], [1, 6, 14, 96, 172, 140, 294, 136, 59, 38, 4, 0], [1, 6, 14, 97, 165, 161, 259, 171, 38, 45, 3, 0], [1, 6, 14, 98, 158, 182, 224, 206, 17, 52, 2, 0], [1, 6, 15, 85, 220, 28, 448, 10, 115, 30, 1, 1], [1, 6, 15, 86, 213, 49, 413, 45, 94, 37, 0, 1], [1, 6, 15, 86, 214, 42, 434, 10, 129, 16, 7, 0], [1, 6, 15, 87, 207, 63, 399, 45, 108, 23, 6, 0], [1, 6, 15, 88, 200, 84, 364, 80, 87, 30, 5, 0], [1, 6, 15, 89, 193, 105, 329, 115, 66, 37, 4, 0], [1, 6, 15, 90, 186, 126, 294, 150, 45, 44, 3, 0], [1, 6, 15, 91, 179, 147, 259, 185, 24, 51, 2, 0], [1, 6, 15, 92, 172, 168, 224, 220, 3, 58, 1, 0], [1, 6, 16, 79, 234, 14, 448, 24, 101, 36, 0, 1], [1, 6, 16, 80, 228, 28, 434, 24, 115, 22, 6, 0], [1, 6, 16, 81, 221, 49, 399, 59, 94, 29, 5, 0], [1, 6, 16, 82, 214, 70, 364, 94, 73, 36, 4, 0], [1, 6, 16, 83, 207, 91, 329, 129, 52, 43, 3, 0], [1, 6, 16, 84, 200, 112, 294, 164, 31, 50, 2, 0], [1, 6, 16, 85, 193, 133, 259, 199, 10, 57, 1, 0], [1, 6, 17, 74, 242, 14, 434, 38, 101, 28, 5, 0], [1, 6, 17, 75, 235, 35, 399, 73, 80, 35, 4, 0], [1, 6, 17, 76, 228, 56, 364, 108, 59, 42, 3, 0], [1, 6, 17, 77, 221, 77, 329, 143, 38, 49, 2, 0], [1, 6, 17, 78, 214, 98, 294, 178, 17, 56, 1, 0], [1, 6, 18, 68, 256, 0, 434, 52, 87, 34, 4, 0], [1, 6, 18, 69, 249, 21, 399, 87, 66, 41, 3, 0], [1, 6, 18, 70, 242, 42, 364, 122, 45, 48, 2, 0], [1, 6, 18, 71, 235, 63, 329, 157, 24, 55, 1, 0], [1, 6, 18, 72, 228, 84, 294, 192, 3, 62, 0, 0], [1, 6, 19, 63, 263, 7, 399, 101, 52, 47, 2, 0], [1, 6, 19, 64, 256, 28, 364, 136, 31, 54, 1, 0], [1, 6, 19, 65, 249, 49, 329, 171, 10, 61, 0, 0], [1, 6, 20, 58, 270, 14, 364, 150, 17, 60, 0, 0], [1, 7, 0, 156, 58, 224, 336, 10, 149, 17, 0, 2], [1, 7, 0, 157, 52, 238, 322, 10, 163, 3, 6, 1], [1, 7, 0, 158, 45, 259, 287, 45, 142, 10, 5, 1], [1, 7, 0, 159, 38, 280, 252, 80, 121, 17, 4, 1], [1, 7, 0, 160, 31, 301, 217, 115, 100, 24, 3, 1], [1, 7, 0, 160, 32, 294, 238, 80, 135, 3, 10, 0], [1, 7, 0, 161, 24, 322, 182, 150, 79, 31, 2, 1], [1, 7, 0, 161, 25, 315, 203, 115, 114, 10, 9, 0], [1, 7, 0, 162, 17, 343, 147, 185, 58, 38, 1, 1], [1, 7, 0, 162, 18, 336, 168, 150, 93, 17, 8, 0], [1, 7, 0, 163, 10, 364, 112, 220, 37, 45, 0, 1], [1, 7, 0, 163, 11, 357, 133, 185, 72, 24, 7, 0], [1, 7, 0, 164, 4, 378, 98, 220, 51, 31, 6, 0], [1, 7, 1, 151, 66, 224, 322, 24, 149, 9, 5, 1], [1, 7, 1, 152, 59, 245, 287, 59, 128, 16, 4, 1], [1, 7, 1, 153, 52, 266, 252, 94, 107, 23, 3, 1], [1, 7, 1, 153, 53, 259, 273, 59, 142, 2, 10, 0], [1, 7, 1, 154, 45, 287, 217, 129, 86, 30, 2, 1], [1, 7, 1, 154, 46, 280, 238, 94, 121, 9, 9, 0], [1, 7, 1, 155, 38, 308, 182, 164, 65, 37, 1, 1], [1, 7, 1, 155, 39, 301, 203, 129, 100, 16, 8, 0], [1, 7, 1, 156, 31, 329, 147, 199, 44, 44, 0, 1], [1, 7, 1, 156, 32, 322, 168, 164, 79, 23, 7, 0], [1, 7, 1, 157, 25, 343, 133, 199, 58, 30, 6, 0], [1, 7, 1, 158, 18, 364, 98, 234, 37, 37, 5, 0], [1, 7, 1, 159, 11, 385, 63, 269, 16, 44, 4, 0], [1, 7, 2, 144, 87, 189, 357, 3, 156, 8, 5, 1], [1, 7, 2, 145, 80, 210, 322, 38, 135, 15, 4, 1], [1, 7, 2, 146, 73, 231, 287, 73, 114, 22, 3, 1], [1, 7, 2, 146, 74, 224, 308, 38, 149, 1, 10, 0], [1, 7, 2, 147, 66, 252, 252, 108, 93, 29, 2, 1], [1, 7, 2, 147, 67, 245, 273, 73, 128, 8, 9, 0], [1, 7, 2, 148, 59, 273, 217, 143, 72, 36, 1, 1], [1, 7, 2, 148, 60, 266, 238, 108, 107, 15, 8, 0], [1, 7, 2, 149, 52, 294, 182, 178, 51, 43, 0, 1], [1, 7, 2, 149, 53, 287, 203, 143, 86, 22, 7, 0], [1, 7, 2, 150, 46, 308, 168, 178, 65, 29, 6, 0], [1, 7, 2, 151, 39, 329, 133, 213, 44, 36, 5, 0], [1, 7, 2, 152, 32, 350, 98, 248, 23, 43, 4, 0], [1, 7, 2, 153, 25, 371, 63, 283, 2, 50, 3, 0], [1, 7, 3, 138, 101, 175, 357, 17, 142, 14, 4, 1], [1, 7, 3, 139, 94, 196, 322, 52, 121, 21, 3, 1], [1, 7, 3, 139, 95, 189, 343, 17, 156, 0, 10, 0], [1, 7, 3, 140, 87, 217, 287, 87, 100, 28, 2, 1], [1, 7, 3, 140, 88, 210, 308, 52, 135, 7, 9, 0], [1, 7, 3, 141, 80, 238, 252, 122, 79, 35, 1, 1], [1, 7, 3, 141, 81, 231, 273, 87, 114, 14, 8, 0], [1, 7, 3, 142, 73, 259, 217, 157, 58, 42, 0, 1], [1, 7, 3, 142, 74, 252, 238, 122, 93, 21, 7, 0], [1, 7, 3, 143, 67, 273, 203, 157, 72, 28, 6, 0], [1, 7, 3, 144, 60, 294, 168, 192, 51, 35, 5, 0], [1, 7, 3, 145, 53, 315, 133, 227, 30, 42, 4, 0], [1, 7, 3, 146, 46, 336, 98, 262, 9, 49, 3, 0], [1, 7, 4, 132, 115, 161, 357, 31, 128, 20, 3, 1], [1, 7, 4, 133, 108, 182, 322, 66, 107, 27, 2, 1], [1, 7, 4, 133, 109, 175, 343, 31, 142, 6, 9, 0], [1, 7, 4, 134, 101, 203, 287, 101, 86, 34, 1, 1], [1, 7, 4, 134, 102, 196, 308, 66, 121, 13, 8, 0], [1, 7, 4, 135, 94, 224, 252, 136, 65, 41, 0, 1], [1, 7, 4, 135, 95, 217, 273, 101, 100, 20, 7, 0], [1, 7, 4, 136, 88, 238, 238, 136, 79, 27, 6, 0], [1, 7, 4, 137, 81, 259, 203, 171, 58, 34, 5, 0], [1, 7, 4, 138, 74, 280, 168, 206, 37, 41, 4, 0], [1, 7, 4, 139, 67, 301, 133, 241, 16, 48, 3, 0], [1, 7, 5, 125, 136, 126, 392, 10, 135, 19, 3, 1], [1, 7, 5, 126, 129, 147, 357, 45, 114, 26, 2, 1], [1, 7, 5, 126, 130, 140, 378, 10, 149, 5, 9, 0], [1, 7, 5, 127, 122, 168, 322, 80, 93, 33, 1, 1], [1, 7, 5, 127, 123, 161, 343, 45, 128, 12, 8, 0], [1, 7, 5, 128, 115, 189, 287, 115, 72, 40, 0, 1], [1, 7, 5, 128, 116, 182, 308, 80, 107, 19, 7, 0], [1, 7, 5, 129, 109, 203, 273, 115, 86, 26, 6, 0], [1, 7, 5, 130, 102, 224, 238, 150, 65, 33, 5, 0], [1, 7, 5, 131, 95, 245, 203, 185, 44, 40, 4, 0], [1, 7, 5, 132, 88, 266, 168, 220, 23, 47, 3, 0], [1, 7, 5, 133, 81, 287, 133, 255, 2, 54, 2, 0], [1, 7, 6, 119, 150, 112, 392, 24, 121, 25, 2, 1], [1, 7, 6, 120, 143, 133, 357, 59, 100, 32, 1, 1], [1, 7, 6, 120, 144, 126, 378, 24, 135, 11, 8, 0], [1, 7, 6, 121, 136, 154, 322, 94, 79, 39, 0, 1], [1, 7, 6, 121, 137, 147, 343, 59, 114, 18, 7, 0], [1, 7, 6, 122, 130, 168, 308, 94, 93, 25, 6, 0], [1, 7, 6, 123, 123, 189, 273, 129, 72, 32, 5, 0], [1, 7, 6, 124, 116, 210, 238, 164, 51, 39, 4, 0], [1, 7, 6, 125, 109, 231, 203, 199, 30, 46, 3, 0], [1, 7, 6, 126, 102, 252, 168, 234, 9, 53, 2, 0], [1, 7, 7, 112, 171, 77, 427, 3, 128, 24, 2, 1], [1, 7, 7, 113, 164, 98, 392, 38, 107, 31, 1, 1], [1, 7, 7, 113, 165, 91, 413, 3, 142, 10, 8, 0], [1, 7, 7, 114, 157, 119, 357, 73, 86, 38, 0, 1], [1, 7, 7, 114, 158, 112, 378, 38, 121, 17, 7, 0], [1, 7, 7, 115, 151, 133, 343, 73, 100, 24, 6, 0], [1, 7, 7, 116, 144, 154, 308, 108, 79, 31, 5, 0], [1, 7, 7, 117, 137, 175, 273, 143, 58, 38, 4, 0], [1, 7, 7, 118, 130, 196, 238, 178, 37, 45, 3, 0], [1, 7, 7, 119, 123, 217, 203, 213, 16, 52, 2, 0], [1, 7, 8, 106, 185, 63, 427, 17, 114, 30, 1, 1], [1, 7, 8, 107, 178, 84, 392, 52, 93, 37, 0, 1], [1, 7, 8, 107, 179, 77, 413, 17, 128, 16, 7, 0], [1, 7, 8, 108, 172, 98, 378, 52, 107, 23, 6, 0], [1, 7, 8, 109, 165, 119, 343, 87, 86, 30, 5, 0], [1, 7, 8, 110, 158, 140, 308, 122, 65, 37, 4, 0], [1, 7, 8, 111, 151, 161, 273, 157, 44, 44, 3, 0], [1, 7, 8, 112, 144, 182, 238, 192, 23, 51, 2, 0], [1, 7, 8, 113, 137, 203, 203, 227, 2, 58, 1, 0], [1, 7, 9, 100, 199, 49, 427, 31, 100, 36, 0, 1], [1, 7, 9, 101, 193, 63, 413, 31, 114, 22, 6, 0], [1, 7, 9, 102, 186, 84, 378, 66, 93, 29, 5, 0], [1, 7, 9, 103, 179, 105, 343, 101, 72, 36, 4, 0], [1, 7, 9, 104, 172, 126, 308, 136, 51, 43, 3, 0], [1, 7, 9, 105, 165, 147, 273, 171, 30, 50, 2, 0], [1, 7, 9, 106, 158, 168, 238, 206, 9, 57, 1, 0], [1, 7, 10, 93, 220, 14, 462, 10, 107, 35, 0, 1], [1, 7, 10, 94, 214, 28, 448, 10, 121, 21, 6, 0], [1, 7, 10, 95, 207, 49, 413, 45, 100, 28, 5, 0], [1, 7, 10, 96, 200, 70, 378, 80, 79, 35, 4, 0], [1, 7, 10, 97, 193, 91, 343, 115, 58, 42, 3, 0], [1, 7, 10, 98, 186, 112, 308, 150, 37, 49, 2, 0], [1, 7, 10, 99, 179, 133, 273, 185, 16, 56, 1, 0], [1, 7, 11, 88, 228, 14, 448, 24, 107, 27, 5, 0], [1, 7, 11, 89, 221, 35, 413, 59, 86, 34, 4, 0], [1, 7, 11, 90, 214, 56, 378, 94, 65, 41, 3, 0], [1, 7, 11, 91, 207, 77, 343, 129, 44, 48, 2, 0], [1, 7, 11, 92, 200, 98, 308, 164, 23, 55, 1, 0], [1, 7, 11, 93, 193, 119, 273, 199, 2, 62, 0, 0], [1, 7, 12, 82, 242, 0, 448, 38, 93, 33, 4, 0], [1, 7, 12, 83, 235, 21, 413, 73, 72, 40, 3, 0], [1, 7, 12, 84, 228, 42, 378, 108, 51, 47, 2, 0], [1, 7, 12, 85, 221, 63, 343, 143, 30, 54, 1, 0], [1, 7, 12, 86, 214, 84, 308, 178, 9, 61, 0, 0], [1, 7, 13, 77, 249, 7, 413, 87, 58, 46, 2, 0], [1, 7, 13, 78, 242, 28, 378, 122, 37, 53, 1, 0], [1, 7, 13, 79, 235, 49, 343, 157, 16, 60, 0, 0], [1, 7, 14, 72, 256, 14, 378, 136, 23, 59, 0, 0], [1, 8, 0, 133, 136, 112, 406, 10, 127, 24, 2, 1], [1, 8, 0, 134, 129, 133, 371, 45, 106, 31, 1, 1], [1, 8, 0, 134, 130, 126, 392, 10, 141, 10, 8, 0], [1, 8, 0, 135, 122, 154, 336, 80, 85, 38, 0, 1], [1, 8, 0, 135, 123, 147, 357, 45, 120, 17, 7, 0], [1, 8, 0, 136, 116, 168, 322, 80, 99, 24, 6, 0], [1, 8, 0, 137, 109, 189, 287, 115, 78, 31, 5, 0], [1, 8, 0, 138, 102, 210, 252, 150, 57, 38, 4, 0], [1, 8, 0, 139, 95, 231, 217, 185, 36, 45, 3, 0], [1, 8, 0, 140, 88, 252, 182, 220, 15, 52, 2, 0], [1, 8, 1, 127, 150, 98, 406, 24, 113, 30, 1, 1], [1, 8, 1, 128, 143, 119, 371, 59, 92, 37, 0, 1], [1, 8, 1, 128, 144, 112, 392, 24, 127, 16, 7, 0], [1, 8, 1, 129, 137, 133, 357, 59, 106, 23, 6, 0], [1, 8, 1, 130, 130, 154, 322, 94, 85, 30, 5, 0], [1, 8, 1, 131, 123, 175, 287, 129, 64, 37, 4, 0], [1, 8, 1, 132, 116, 196, 252, 164, 43, 44, 3, 0], [1, 8, 1, 133, 109, 217, 217, 199, 22, 51, 2, 0], [1, 8, 1, 134, 102, 238, 182, 234, 1, 58, 1, 0], [1, 8, 2, 120, 171, 63, 441, 3, 120, 29, 1, 1], [1, 8, 2, 121, 164, 84, 406, 38, 99, 36, 0, 1], [1, 8, 2, 121, 165, 77, 427, 3, 134, 15, 7, 0], [1, 8, 2, 122, 158, 98, 392, 38, 113, 22, 6, 0], [1, 8, 2, 123, 151, 119, 357, 73, 92, 29, 5, 0], [1, 8, 2, 124, 144, 140, 322, 108, 71, 36, 4, 0], [1, 8, 2, 125, 137, 161, 287, 143, 50, 43, 3, 0], [1, 8, 2, 126, 130, 182, 252, 178, 29, 50, 2, 0], [1, 8, 2, 127, 123, 203, 217, 213, 8, 57, 1, 0], [1, 8, 3, 114, 185, 49, 441, 17, 106, 35, 0, 1], [1, 8, 3, 115, 179, 63, 427, 17, 120, 21, 6, 0], [1, 8, 3, 116, 172, 84, 392, 52, 99, 28, 5, 0], [1, 8, 3, 117, 165, 105, 357, 87, 78, 35, 4, 0], [1, 8, 3, 118, 158, 126, 322, 122, 57, 42, 3, 0], [1, 8, 3, 119, 151, 147, 287, 157, 36, 49, 2, 0], [1, 8, 3, 120, 144, 168, 252, 192, 15, 56, 1, 0], [1, 8, 4, 109, 193, 49, 427, 31, 106, 27, 5, 0], [1, 8, 4, 110, 186, 70, 392, 66, 85, 34, 4, 0], [1, 8, 4, 111, 179, 91, 357, 101, 64, 41, 3, 0], [1, 8, 4, 112, 172, 112, 322, 136, 43, 48, 2, 0], [1, 8, 4, 113, 165, 133, 287, 171, 22, 55, 1, 0], [1, 8, 4, 114, 158, 154, 252, 206, 1, 62, 0, 0], [1, 8, 5, 102, 214, 14, 462, 10, 113, 26, 5, 0], [1, 8, 5, 103, 207, 35, 427, 45, 92, 33, 4, 0], [1, 8, 5, 104, 200, 56, 392, 80, 71, 40, 3, 0], [1, 8, 5, 105, 193, 77, 357, 115, 50, 47, 2, 0], [1, 8, 5, 106, 186, 98, 322, 150, 29, 54, 1, 0], [1, 8, 5, 107, 179, 119, 287, 185, 8, 61, 0, 0], [1, 8, 6, 96, 228, 0, 462, 24, 99, 32, 4, 0], [1, 8, 6, 97, 221, 21, 427, 59, 78, 39, 3, 0], [1, 8, 6, 98, 214, 42, 392, 94, 57, 46, 2, 0], [1, 8, 6, 99, 207, 63, 357, 129, 36, 53, 1, 0], [1, 8, 6, 100, 200, 84, 322, 164, 15, 60, 0, 0], [1, 8, 7, 91, 235, 7, 427, 73, 64, 45, 2, 0], [1, 8, 7, 92, 228, 28, 392, 108, 43, 52, 1, 0], [1, 8, 7, 93, 221, 49, 357, 143, 22, 59, 0, 0], [1, 8, 8, 86, 242, 14, 392, 122, 29, 58, 0, 0], [1, 9, 0, 110, 214, 0, 476, 10, 105, 31, 4, 0], [1, 9, 0, 111, 207, 21, 441, 45, 84, 38, 3, 0], [1, 9, 0, 112, 200, 42, 406, 80, 63, 45, 2, 0], [1, 9, 0, 113, 193, 63, 371, 115, 42, 52, 1, 0], [1, 9, 0, 114, 186, 84, 336, 150, 21, 59, 0, 0], [1, 9, 1, 105, 221, 7, 441, 59, 70, 44, 2, 0], [1, 9, 1, 106, 214, 28, 406, 94, 49, 51, 1, 0], [1, 9, 1, 107, 207, 49, 371, 129, 28, 58, 0, 0], [1, 9, 2, 100, 228, 14, 406, 108, 35, 57, 0, 0], [2, 0, 16, 153, 9, 315, 273, 9, 177, 1, 3, 2], [2, 0, 16, 154, 2, 336, 238, 44, 156, 8, 2, 2], [2, 0, 17, 147, 23, 301, 273, 23, 163, 7, 2, 2], [2, 0, 17, 148, 16, 322, 238, 58, 142, 14, 1, 2], [2, 0, 17, 149, 9, 343, 203, 93, 121, 21, 0, 2], [2, 0, 17, 149, 10, 336, 224, 58, 156, 0, 7, 1], [2, 0, 17, 150, 3, 357, 189, 93, 135, 7, 6, 1], [2, 0, 18, 140, 44, 266, 308, 2, 170, 6, 2, 2], [2, 0, 18, 141, 37, 287, 273, 37, 149, 13, 1, 2], [2, 0, 18, 142, 30, 308, 238, 72, 128, 20, 0, 2], [2, 0, 18, 143, 24, 322, 224, 72, 142, 6, 6, 1], [2, 0, 18, 144, 17, 343, 189, 107, 121, 13, 5, 1], [2, 0, 18, 145, 10, 364, 154, 142, 100, 20, 4, 1], [2, 0, 18, 146, 3, 385, 119, 177, 79, 27, 3, 1], [2, 0, 18, 146, 4, 378, 140, 142, 114, 6, 10, 0], [2, 0, 19, 134, 58, 252, 308, 16, 156, 12, 1, 2], [2, 0, 19, 135, 51, 273, 273, 51, 135, 19, 0, 2], [2, 0, 19, 136, 45, 287, 259, 51, 149, 5, 6, 1], [2, 0, 19, 137, 38, 308, 224, 86, 128, 12, 5, 1], [2, 0, 19, 138, 31, 329, 189, 121, 107, 19, 4, 1], [2, 0, 19, 139, 24, 350, 154, 156, 86, 26, 3, 1], [2, 0, 19, 139, 25, 343, 175, 121, 121, 5, 10, 0], [2, 0, 19, 140, 17, 371, 119, 191, 65, 33, 2, 1], [2, 0, 19, 140, 18, 364, 140, 156, 100, 12, 9, 0], [2, 0, 19, 141, 10, 392, 84, 226, 44, 40, 1, 1], [2, 0, 19, 141, 11, 385, 105, 191, 79, 19, 8, 0], [2, 0, 19, 142, 3, 413, 49, 261, 23, 47, 0, 1], [2, 0, 19, 142, 4, 406, 70, 226, 58, 26, 7, 0], [2, 0, 20, 128, 72, 238, 308, 30, 142, 18, 0, 2], [2, 0, 20, 129, 66, 252, 294, 30, 156, 4, 6, 1], [2, 0, 20, 130, 59, 273, 259, 65, 135, 11, 5, 1], [2, 0, 20, 131, 52, 294, 224, 100, 114, 18, 4, 1], [2, 0, 20, 132, 45, 315, 189, 135, 93, 25, 3, 1], [2, 0, 20, 132, 46, 308, 210, 100, 128, 4, 10, 0], [2, 0, 20, 133, 38, 336, 154, 170, 72, 32, 2, 1], [2, 0, 20, 133, 39, 329, 175, 135, 107, 11, 9, 0], [2, 0, 20, 134, 31, 357, 119, 205, 51, 39, 1, 1], [2, 0, 20, 134, 32, 350, 140, 170, 86, 18, 8, 0], [2, 0, 20, 135, 24, 378, 84, 240, 30, 46, 0, 1], [2, 0, 20, 135, 25, 371, 105, 205, 65, 25, 7, 0], [2, 0, 20, 136, 18, 392, 70, 240, 44, 32, 6, 0], [2, 0, 20, 137, 11, 413, 35, 275, 23, 39, 5, 0], [2, 0, 20, 138, 4, 434, 0, 310, 2, 46, 4, 0], [2, 0, 21, 121, 93, 203, 343, 9, 149, 17, 0, 2], [2, 0, 21, 122, 87, 217, 329, 9, 163, 3, 6, 1], [2, 0, 21, 123, 80, 238, 294, 44, 142, 10, 5, 1], [2, 0, 21, 124, 73, 259, 259, 79, 121, 17, 4, 1], [2, 0, 21, 125, 66, 280, 224, 114, 100, 24, 3, 1], [2, 0, 21, 125, 67, 273, 245, 79, 135, 3, 10, 0], [2, 0, 21, 126, 59, 301, 189, 149, 79, 31, 2, 1], [2, 0, 21, 126, 60, 294, 210, 114, 114, 10, 9, 0], [2, 0, 21, 127, 52, 322, 154, 184, 58, 38, 1, 1], [2, 0, 21, 127, 53, 315, 175, 149, 93, 17, 8, 0], [2, 0, 21, 128, 45, 343, 119, 219, 37, 45, 0, 1], [2, 0, 21, 128, 46, 336, 140, 184, 72, 24, 7, 0], [2, 0, 21, 129, 39, 357, 105, 219, 51, 31, 6, 0], [2, 0, 21, 130, 32, 378, 70, 254, 30, 38, 5, 0], [2, 0, 21, 131, 25, 399, 35, 289, 9, 45, 4, 0], [2, 0, 22, 116, 101, 203, 329, 23, 149, 9, 5, 1], [2, 0, 22, 117, 94, 224, 294, 58, 128, 16, 4, 1], [2, 0, 22, 118, 87, 245, 259, 93, 107, 23, 3, 1], [2, 0, 22, 118, 88, 238, 280, 58, 142, 2, 10, 0], [2, 0, 22, 119, 80, 266, 224, 128, 86, 30, 2, 1], [2, 0, 22, 119, 81, 259, 245, 93, 121, 9, 9, 0], [2, 0, 22, 120, 73, 287, 189, 163, 65, 37, 1, 1], [2, 0, 22, 120, 74, 280, 210, 128, 100, 16, 8, 0], [2, 0, 22, 121, 66, 308, 154, 198, 44, 44, 0, 1], [2, 0, 22, 121, 67, 301, 175, 163, 79, 23, 7, 0], [2, 0, 22, 122, 60, 322, 140, 198, 58, 30, 6, 0], [2, 0, 22, 123, 53, 343, 105, 233, 37, 37, 5, 0], [2, 0, 22, 124, 46, 364, 70, 268, 16, 44, 4, 0], [2, 0, 23, 109, 122, 168, 364, 2, 156, 8, 5, 1], [2, 0, 23, 110, 115, 189, 329, 37, 135, 15, 4, 1], [2, 0, 23, 111, 108, 210, 294, 72, 114, 22, 3, 1], [2, 0, 23, 111, 109, 203, 315, 37, 149, 1, 10, 0], [2, 0, 23, 112, 101, 231, 259, 107, 93, 29, 2, 1], [2, 0, 23, 112, 102, 224, 280, 72, 128, 8, 9, 0], [2, 0, 23, 113, 94, 252, 224, 142, 72, 36, 1, 1], [2, 0, 23, 113, 95, 245, 245, 107, 107, 15, 8, 0], [2, 0, 23, 114, 87, 273, 189, 177, 51, 43, 0, 1], [2, 0, 23, 114, 88, 266, 210, 142, 86, 22, 7, 0], [2, 0, 23, 115, 81, 287, 175, 177, 65, 29, 6, 0], [2, 0, 23, 116, 74, 308, 140, 212, 44, 36, 5, 0], [2, 0, 23, 117, 67, 329, 105, 247, 23, 43, 4, 0], [2, 0, 23, 118, 60, 350, 70, 282, 2, 50, 3, 0], [2, 0, 24, 103, 136, 154, 364, 16, 142, 14, 4, 1], [2, 0, 24, 104, 129, 175, 329, 51, 121, 21, 3, 1], [2, 0, 24, 104, 130, 168, 350, 16, 156, 0, 10, 0], [2, 0, 24, 105, 122, 196, 294, 86, 100, 28, 2, 1], [2, 0, 24, 105, 123, 189, 315, 51, 135, 7, 9, 0], [2, 0, 24, 106, 115, 217, 259, 121, 79, 35, 1, 1], [2, 0, 24, 106, 116, 210, 280, 86, 114, 14, 8, 0], [2, 0, 24, 107, 108, 238, 224, 156, 58, 42, 0, 1], [2, 0, 24, 107, 109, 231, 245, 121, 93, 21, 7, 0], [2, 0, 24, 108, 102, 252, 210, 156, 72, 28, 6, 0], [2, 0, 24, 109, 95, 273, 175, 191, 51, 35, 5, 0], [2, 0, 24, 110, 88, 294, 140, 226, 30, 42, 4, 0], [2, 0, 24, 111, 81, 315, 105, 261, 9, 49, 3, 0], [2, 0, 25, 97, 150, 140, 364, 30, 128, 20, 3, 1], [2, 0, 25, 98, 143, 161, 329, 65, 107, 27, 2, 1], [2, 0, 25, 98, 144, 154, 350, 30, 142, 6, 9, 0], [2, 0, 25, 99, 136, 182, 294, 100, 86, 34, 1, 1], [2, 0, 25, 99, 137, 175, 315, 65, 121, 13, 8, 0], [2, 0, 25, 100, 129, 203, 259, 135, 65, 41, 0, 1], [2, 0, 25, 100, 130, 196, 280, 100, 100, 20, 7, 0], [2, 0, 25, 101, 123, 217, 245, 135, 79, 27, 6, 0], [2, 0, 25, 102, 116, 238, 210, 170, 58, 34, 5, 0], [2, 0, 25, 103, 109, 259, 175, 205, 37, 41, 4, 0], [2, 0, 25, 104, 102, 280, 140, 240, 16, 48, 3, 0], [2, 0, 26, 90, 171, 105, 399, 9, 135, 19, 3, 1], [2, 0, 26, 91, 164, 126, 364, 44, 114, 26, 2, 1], [2, 0, 26, 91, 165, 119, 385, 9, 149, 5, 9, 0], [2, 0, 26, 92, 157, 147, 329, 79, 93, 33, 1, 1], [2, 0, 26, 92, 158, 140, 350, 44, 128, 12, 8, 0], [2, 0, 26, 93, 150, 168, 294, 114, 72, 40, 0, 1], [2, 0, 26, 93, 151, 161, 315, 79, 107, 19, 7, 0], [2, 0, 26, 94, 144, 182, 280, 114, 86, 26, 6, 0], [2, 0, 26, 95, 137, 203, 245, 149, 65, 33, 5, 0], [2, 0, 26, 96, 130, 224, 210, 184, 44, 40, 4, 0], [2, 0, 26, 97, 123, 245, 175, 219, 23, 47, 3, 0], [2, 0, 26, 98, 116, 266, 140, 254, 2, 54, 2, 0], [2, 0, 27, 84, 185, 91, 399, 23, 121, 25, 2, 1], [2, 0, 27, 85, 178, 112, 364, 58, 100, 32, 1, 1], [2, 0, 27, 85, 179, 105, 385, 23, 135, 11, 8, 0], [2, 0, 27, 86, 171, 133, 329, 93, 79, 39, 0, 1], [2, 0, 27, 86, 172, 126, 350, 58, 114, 18, 7, 0], [2, 0, 27, 87, 165, 147, 315, 93, 93, 25, 6, 0], [2, 0, 27, 88, 158, 168, 280, 128, 72, 32, 5, 0], [2, 0, 27, 89, 151, 189, 245, 163, 51, 39, 4, 0], [2, 0, 27, 90, 144, 210, 210, 198, 30, 46, 3, 0], [2, 0, 27, 91, 137, 231, 175, 233, 9, 53, 2, 0], [2, 0, 28, 77, 206, 56, 434, 2, 128, 24, 2, 1], [2, 0, 28, 78, 199, 77, 399, 37, 107, 31, 1, 1], [2, 0, 28, 78, 200, 70, 420, 2, 142, 10, 8, 0], [2, 0, 28, 79, 192, 98, 364, 72, 86, 38, 0, 1], [2, 0, 28, 79, 193, 91, 385, 37, 121, 17, 7, 0], [2, 0, 28, 80, 186, 112, 350, 72, 100, 24, 6, 0], [2, 0, 28, 81, 179, 133, 315, 107, 79, 31, 5, 0], [2, 0, 28, 82, 172, 154, 280, 142, 58, 38, 4, 0], [2, 0, 28, 83, 165, 175, 245, 177, 37, 45, 3, 0], [2, 0, 28, 84, 158, 196, 210, 212, 16, 52, 2, 0], [2, 0, 29, 71, 220, 42, 434, 16, 114, 30, 1, 1], [2, 0, 29, 72, 213, 63, 399, 51, 93, 37, 0, 1], [2, 0, 29, 72, 214, 56, 420, 16, 128, 16, 7, 0], [2, 0, 29, 73, 207, 77, 385, 51, 107, 23, 6, 0], [2, 0, 29, 74, 200, 98, 350, 86, 86, 30, 5, 0], [2, 0, 29, 75, 193, 119, 315, 121, 65, 37, 4, 0], [2, 0, 29, 76, 186, 140, 280, 156, 44, 44, 3, 0], [2, 0, 29, 77, 179, 161, 245, 191, 23, 51, 2, 0], [2, 0, 29, 78, 172, 182, 210, 226, 2, 58, 1, 0], [2, 0, 30, 65, 234, 28, 434, 30, 100, 36, 0, 1], [2, 0, 30, 66, 228, 42, 420, 30, 114, 22, 6, 0], [2, 0, 30, 67, 221, 63, 385, 65, 93, 29, 5, 0], [2, 0, 30, 68, 214, 84, 350, 100, 72, 36, 4, 0], [2, 0, 30, 69, 207, 105, 315, 135, 51, 43, 3, 0], [2, 0, 30, 70, 200, 126, 280, 170, 30, 50, 2, 0], [2, 0, 30, 71, 193, 147, 245, 205, 9, 57, 1, 0], [2, 0, 31, 59, 249, 7, 455, 9, 121, 21, 6, 0], [2, 0, 31, 60, 242, 28, 420, 44, 100, 28, 5, 0], [2, 0, 31, 61, 235, 49, 385, 79, 79, 35, 4, 0], [2, 0, 31, 62, 228, 70, 350, 114, 58, 42, 3, 0], [2, 0, 31, 63, 221, 91, 315, 149, 37, 49, 2, 0], [2, 0, 31, 64, 214, 112, 280, 184, 16, 56, 1, 0], [2, 0, 32, 54, 256, 14, 420, 58, 86, 34, 4, 0], [2, 0, 32, 55, 249, 35, 385, 93, 65, 41, 3, 0], [2, 0, 32, 56, 242, 56, 350, 128, 44, 48, 2, 0], [2, 0, 32, 57, 235, 77, 315, 163, 23, 55, 1, 0], [2, 0, 32, 58, 228, 98, 280, 198, 2, 62, 0, 0], [2, 0, 33, 48, 270, 0, 420, 72, 72, 40, 3, 0], [2, 0, 33, 49, 263, 21, 385, 107, 51, 47, 2, 0], [2, 0, 33, 50, 256, 42, 350, 142, 30, 54, 1, 0], [2, 0, 33, 51, 249, 63, 315, 177, 9, 61, 0, 0], [2, 0, 34, 43, 277, 7, 385, 121, 37, 53, 1, 0], [2, 0, 34, 44, 270, 28, 350, 156, 16, 60, 0, 0], [2, 1, 11, 161, 9, 301, 287, 9, 169, 6, 2, 2], [2, 1, 11, 162, 2, 322, 252, 44, 148, 13, 1, 2], [2, 1, 12, 155, 23, 287, 287, 23, 155, 12, 1, 2], [2, 1, 12, 156, 16, 308, 252, 58, 134, 19, 0, 2], [2, 1, 12, 157, 10, 322, 238, 58, 148, 5, 6, 1], [2, 1, 12, 158, 3, 343, 203, 93, 127, 12, 5, 1], [2, 1, 13, 148, 44, 252, 322, 2, 162, 11, 1, 2], [2, 1, 13, 149, 37, 273, 287, 37, 141, 18, 0, 2], [2, 1, 13, 150, 31, 287, 273, 37, 155, 4, 6, 1], [2, 1, 13, 151, 24, 308, 238, 72, 134, 11, 5, 1], [2, 1, 13, 152, 17, 329, 203, 107, 113, 18, 4, 1], [2, 1, 13, 153, 10, 350, 168, 142, 92, 25, 3, 1], [2, 1, 13, 153, 11, 343, 189, 107, 127, 4, 10, 0], [2, 1, 13, 154, 3, 371, 133, 177, 71, 32, 2, 1], [2, 1, 13, 154, 4, 364, 154, 142, 106, 11, 9, 0], [2, 1, 14, 142, 58, 238, 322, 16, 148, 17, 0, 2], [2, 1, 14, 143, 52, 252, 308, 16, 162, 3, 6, 1], [2, 1, 14, 144, 45, 273, 273, 51, 141, 10, 5, 1], [2, 1, 14, 145, 38, 294, 238, 86, 120, 17, 4, 1], [2, 1, 14, 146, 31, 315, 203, 121, 99, 24, 3, 1], [2, 1, 14, 146, 32, 308, 224, 86, 134, 3, 10, 0], [2, 1, 14, 147, 24, 336, 168, 156, 78, 31, 2, 1], [2, 1, 14, 147, 25, 329, 189, 121, 113, 10, 9, 0], [2, 1, 14, 148, 17, 357, 133, 191, 57, 38, 1, 1], [2, 1, 14, 148, 18, 350, 154, 156, 92, 17, 8, 0], [2, 1, 14, 149, 10, 378, 98, 226, 36, 45, 0, 1], [2, 1, 14, 149, 11, 371, 119, 191, 71, 24, 7, 0], [2, 1, 14, 150, 4, 392, 84, 226, 50, 31, 6, 0], [2, 1, 15, 137, 66, 238, 308, 30, 148, 9, 5, 1], [2, 1, 15, 138, 59, 259, 273, 65, 127, 16, 4, 1], [2, 1, 15, 139, 52, 280, 238, 100, 106, 23, 3, 1], [2, 1, 15, 139, 53, 273, 259, 65, 141, 2, 10, 0], [2, 1, 15, 140, 45, 301, 203, 135, 85, 30, 2, 1], [2, 1, 15, 140, 46, 294, 224, 100, 120, 9, 9, 0], [2, 1, 15, 141, 38, 322, 168, 170, 64, 37, 1, 1], [2, 1, 15, 141, 39, 315, 189, 135, 99, 16, 8, 0], [2, 1, 15, 142, 31, 343, 133, 205, 43, 44, 0, 1], [2, 1, 15, 142, 32, 336, 154, 170, 78, 23, 7, 0], [2, 1, 15, 143, 25, 357, 119, 205, 57, 30, 6, 0], [2, 1, 15, 144, 18, 378, 84, 240, 36, 37, 5, 0], [2, 1, 15, 145, 11, 399, 49, 275, 15, 44, 4, 0], [2, 1, 16, 130, 87, 203, 343, 9, 155, 8, 5, 1], [2, 1, 16, 131, 80, 224, 308, 44, 134, 15, 4, 1], [2, 1, 16, 132, 73, 245, 273, 79, 113, 22, 3, 1], [2, 1, 16, 132, 74, 238, 294, 44, 148, 1, 10, 0], [2, 1, 16, 133, 66, 266, 238, 114, 92, 29, 2, 1], [2, 1, 16, 133, 67, 259, 259, 79, 127, 8, 9, 0], [2, 1, 16, 134, 59, 287, 203, 149, 71, 36, 1, 1], [2, 1, 16, 134, 60, 280, 224, 114, 106, 15, 8, 0], [2, 1, 16, 135, 52, 308, 168, 184, 50, 43, 0, 1], [2, 1, 16, 135, 53, 301, 189, 149, 85, 22, 7, 0], [2, 1, 16, 136, 46, 322, 154, 184, 64, 29, 6, 0], [2, 1, 16, 137, 39, 343, 119, 219, 43, 36, 5, 0], [2, 1, 16, 138, 32, 364, 84, 254, 22, 43, 4, 0], [2, 1, 16, 139, 25, 385, 49, 289, 1, 50, 3, 0], [2, 1, 17, 124, 101, 189, 343, 23, 141, 14, 4, 1], [2, 1, 17, 125, 94, 210, 308, 58, 120, 21, 3, 1], [2, 1, 17, 125, 95, 203, 329, 23, 155, 0, 10, 0], [2, 1, 17, 126, 87, 231, 273, 93, 99, 28, 2, 1], [2, 1, 17, 126, 88, 224, 294, 58, 134, 7, 9, 0], [2, 1, 17, 127, 80, 252, 238, 128, 78, 35, 1, 1], [2, 1, 17, 127, 81, 245, 259, 93, 113, 14, 8, 0], [2, 1, 17, 128, 73, 273, 203, 163, 57, 42, 0, 1], [2, 1, 17, 128, 74, 266, 224, 128, 92, 21, 7, 0], [2, 1, 17, 129, 67, 287, 189, 163, 71, 28, 6, 0], [2, 1, 17, 130, 60, 308, 154, 198, 50, 35, 5, 0], [2, 1, 17, 131, 53, 329, 119, 233, 29, 42, 4, 0], [2, 1, 17, 132, 46, 350, 84, 268, 8, 49, 3, 0], [2, 1, 18, 117, 122, 154, 378, 2, 148, 13, 4, 1], [2, 1, 18, 118, 115, 175, 343, 37, 127, 20, 3, 1], [2, 1, 18, 119, 108, 196, 308, 72, 106, 27, 2, 1], [2, 1, 18, 119, 109, 189, 329, 37, 141, 6, 9, 0], [2, 1, 18, 120, 101, 217, 273, 107, 85, 34, 1, 1], [2, 1, 18, 120, 102, 210, 294, 72, 120, 13, 8, 0], [2, 1, 18, 121, 94, 238, 238, 142, 64, 41, 0, 1], [2, 1, 18, 121, 95, 231, 259, 107, 99, 20, 7, 0], [2, 1, 18, 122, 88, 252, 224, 142, 78, 27, 6, 0], [2, 1, 18, 123, 81, 273, 189, 177, 57, 34, 5, 0], [2, 1, 18, 124, 74, 294, 154, 212, 36, 41, 4, 0], [2, 1, 18, 125, 67, 315, 119, 247, 15, 48, 3, 0], [2, 1, 19, 111, 136, 140, 378, 16, 134, 19, 3, 1], [2, 1, 19, 112, 129, 161, 343, 51, 113, 26, 2, 1], [2, 1, 19, 112, 130, 154, 364, 16, 148, 5, 9, 0], [2, 1, 19, 113, 122, 182, 308, 86, 92, 33, 1, 1], [2, 1, 19, 113, 123, 175, 329, 51, 127, 12, 8, 0], [2, 1, 19, 114, 115, 203, 273, 121, 71, 40, 0, 1], [2, 1, 19, 114, 116, 196, 294, 86, 106, 19, 7, 0], [2, 1, 19, 115, 109, 217, 259, 121, 85, 26, 6, 0], [2, 1, 19, 116, 102, 238, 224, 156, 64, 33, 5, 0], [2, 1, 19, 117, 95, 259, 189, 191, 43, 40, 4, 0], [2, 1, 19, 118, 88, 280, 154, 226, 22, 47, 3, 0], [2, 1, 19, 119, 81, 301, 119, 261, 1, 54, 2, 0], [2, 1, 20, 105, 150, 126, 378, 30, 120, 25, 2, 1], [2, 1, 20, 106, 143, 147, 343, 65, 99, 32, 1, 1], [2, 1, 20, 106, 144, 140, 364, 30, 134, 11, 8, 0], [2, 1, 20, 107, 136, 168, 308, 100, 78, 39, 0, 1], [2, 1, 20, 107, 137, 161, 329, 65, 113, 18, 7, 0], [2, 1, 20, 108, 130, 182, 294, 100, 92, 25, 6, 0], [2, 1, 20, 109, 123, 203, 259, 135, 71, 32, 5, 0], [2, 1, 20, 110, 116, 224, 224, 170, 50, 39, 4, 0], [2, 1, 20, 111, 109, 245, 189, 205, 29, 46, 3, 0], [2, 1, 20, 112, 102, 266, 154, 240, 8, 53, 2, 0], [2, 1, 21, 98, 171, 91, 413, 9, 127, 24, 2, 1], [2, 1, 21, 99, 164, 112, 378, 44, 106, 31, 1, 1], [2, 1, 21, 99, 165, 105, 399, 9, 141, 10, 8, 0], [2, 1, 21, 100, 157, 133, 343, 79, 85, 38, 0, 1], [2, 1, 21, 100, 158, 126, 364, 44, 120, 17, 7, 0], [2, 1, 21, 101, 151, 147, 329, 79, 99, 24, 6, 0], [2, 1, 21, 102, 144, 168, 294, 114, 78, 31, 5, 0], [2, 1, 21, 103, 137, 189, 259, 149, 57, 38, 4, 0], [2, 1, 21, 104, 130, 210, 224, 184, 36, 45, 3, 0], [2, 1, 21, 105, 123, 231, 189, 219, 15, 52, 2, 0], [2, 1, 22, 92, 185, 77, 413, 23, 113, 30, 1, 1], [2, 1, 22, 93, 178, 98, 378, 58, 92, 37, 0, 1], [2, 1, 22, 93, 179, 91, 399, 23, 127, 16, 7, 0], [2, 1, 22, 94, 172, 112, 364, 58, 106, 23, 6, 0], [2, 1, 22, 95, 165, 133, 329, 93, 85, 30, 5, 0], [2, 1, 22, 96, 158, 154, 294, 128, 64, 37, 4, 0], [2, 1, 22, 97, 151, 175, 259, 163, 43, 44, 3, 0], [2, 1, 22, 98, 144, 196, 224, 198, 22, 51, 2, 0], [2, 1, 22, 99, 137, 217, 189, 233, 1, 58, 1, 0], [2, 1, 23, 85, 206, 42, 448, 2, 120, 29, 1, 1], [2, 1, 23, 86, 199, 63, 413, 37, 99, 36, 0, 1], [2, 1, 23, 86, 200, 56, 434, 2, 134, 15, 7, 0], [2, 1, 23, 87, 193, 77, 399, 37, 113, 22, 6, 0], [2, 1, 23, 88, 186, 98, 364, 72, 92, 29, 5, 0], [2, 1, 23, 89, 179, 119, 329, 107, 71, 36, 4, 0], [2, 1, 23, 90, 172, 140, 294, 142, 50, 43, 3, 0], [2, 1, 23, 91, 165, 161, 259, 177, 29, 50, 2, 0], [2, 1, 23, 92, 158, 182, 224, 212, 8, 57, 1, 0], [2, 1, 24, 79, 220, 28, 448, 16, 106, 35, 0, 1], [2, 1, 24, 80, 214, 42, 434, 16, 120, 21, 6, 0], [2, 1, 24, 81, 207, 63, 399, 51, 99, 28, 5, 0], [2, 1, 24, 82, 200, 84, 364, 86, 78, 35, 4, 0], [2, 1, 24, 83, 193, 105, 329, 121, 57, 42, 3, 0], [2, 1, 24, 84, 186, 126, 294, 156, 36, 49, 2, 0], [2, 1, 24, 85, 179, 147, 259, 191, 15, 56, 1, 0], [2, 1, 25, 74, 228, 28, 434, 30, 106, 27, 5, 0], [2, 1, 25, 75, 221, 49, 399, 65, 85, 34, 4, 0], [2, 1, 25, 76, 214, 70, 364, 100, 64, 41, 3, 0], [2, 1, 25, 77, 207, 91, 329, 135, 43, 48, 2, 0], [2, 1, 25, 78, 200, 112, 294, 170, 22, 55, 1, 0], [2, 1, 25, 79, 193, 133, 259, 205, 1, 62, 0, 0], [2, 1, 26, 68, 242, 14, 434, 44, 92, 33, 4, 0], [2, 1, 26, 69, 235, 35, 399, 79, 71, 40, 3, 0], [2, 1, 26, 70, 228, 56, 364, 114, 50, 47, 2, 0], [2, 1, 26, 71, 221, 77, 329, 149, 29, 54, 1, 0], [2, 1, 26, 72, 214, 98, 294, 184, 8, 61, 0, 0], [2, 1, 27, 62, 256, 0, 434, 58, 78, 39, 3, 0], [2, 1, 27, 63, 249, 21, 399, 93, 57, 46, 2, 0], [2, 1, 27, 64, 242, 42, 364, 128, 36, 53, 1, 0], [2, 1, 27, 65, 235, 63, 329, 163, 15, 60, 0, 0], [2, 1, 28, 57, 263, 7, 399, 107, 43, 52, 1, 0], [2, 1, 28, 58, 256, 28, 364, 142, 22, 59, 0, 0], [2, 2, 6, 169, 9, 287, 301, 9, 161, 11, 1, 2], [2, 2, 6, 170, 2, 308, 266, 44, 140, 18, 0, 2], [2, 2, 7, 163, 23, 273, 301, 23, 147, 17, 0, 2], [2, 2, 7, 164, 17, 287, 287, 23, 161, 3, 6, 1], [2, 2, 7, 165, 10, 308, 252, 58, 140, 10, 5, 1], [2, 2, 7, 166, 3, 329, 217, 93, 119, 17, 4, 1], [2, 2, 8, 156, 44, 238, 336, 2, 154, 16, 0, 2], [2, 2, 8, 157, 38, 252, 322, 2, 168, 2, 6, 1], [2, 2, 8, 158, 31, 273, 287, 37, 147, 9, 5, 1], [2, 2, 8, 159, 24, 294, 252, 72, 126, 16, 4, 1], [2, 2, 8, 160, 17, 315, 217, 107, 105, 23, 3, 1], [2, 2, 8, 160, 18, 308, 238, 72, 140, 2, 10, 0], [2, 2, 8, 161, 10, 336, 182, 142, 84, 30, 2, 1], [2, 2, 8, 161, 11, 329, 203, 107, 119, 9, 9, 0], [2, 2, 8, 162, 3, 357, 147, 177, 63, 37, 1, 1], [2, 2, 8, 162, 4, 350, 168, 142, 98, 16, 8, 0], [2, 2, 9, 151, 52, 238, 322, 16, 154, 8, 5, 1], [2, 2, 9, 152, 45, 259, 287, 51, 133, 15, 4, 1], [2, 2, 9, 153, 38, 280, 252, 86, 112, 22, 3, 1], [2, 2, 9, 153, 39, 273, 273, 51, 147, 1, 10, 0], [2, 2, 9, 154, 31, 301, 217, 121, 91, 29, 2, 1], [2, 2, 9, 154, 32, 294, 238, 86, 126, 8, 9, 0], [2, 2, 9, 155, 24, 322, 182, 156, 70, 36, 1, 1], [2, 2, 9, 155, 25, 315, 203, 121, 105, 15, 8, 0], [2, 2, 9, 156, 17, 343, 147, 191, 49, 43, 0, 1], [2, 2, 9, 156, 18, 336, 168, 156, 84, 22, 7, 0], [2, 2, 9, 157, 11, 357, 133, 191, 63, 29, 6, 0], [2, 2, 9, 158, 4, 378, 98, 226, 42, 36, 5, 0], [2, 2, 10, 145, 66, 224, 322, 30, 140, 14, 4, 1], [2, 2, 10, 146, 59, 245, 287, 65, 119, 21, 3, 1], [2, 2, 10, 146, 60, 238, 308, 30, 154, 0, 10, 0], [2, 2, 10, 147, 52, 266, 252, 100, 98, 28, 2, 1], [2, 2, 10, 147, 53, 259, 273, 65, 133, 7, 9, 0], [2, 2, 10, 148, 45, 287, 217, 135, 77, 35, 1, 1], [2, 2, 10, 148, 46, 280, 238, 100, 112, 14, 8, 0], [2, 2, 10, 149, 38, 308, 182, 170, 56, 42, 0, 1], [2, 2, 10, 149, 39, 301, 203, 135, 91, 21, 7, 0], [2, 2, 10, 150, 32, 322, 168, 170, 70, 28, 6, 0], [2, 2, 10, 151, 25, 343, 133, 205, 49, 35, 5, 0], [2, 2, 10, 152, 18, 364, 98, 240, 28, 42, 4, 0], [2, 2, 10, 153, 11, 385, 63, 275, 7, 49, 3, 0], [2, 2, 11, 138, 87, 189, 357, 9, 147, 13, 4, 1], [2, 2, 11, 139, 80, 210, 322, 44, 126, 20, 3, 1], [2, 2, 11, 140, 73, 231, 287, 79, 105, 27, 2, 1], [2, 2, 11, 140, 74, 224, 308, 44, 140, 6, 9, 0], [2, 2, 11, 141, 66, 252, 252, 114, 84, 34, 1, 1], [2, 2, 11, 141, 67, 245, 273, 79, 119, 13, 8, 0], [2, 2, 11, 142, 59, 273, 217, 149, 63, 41, 0, 1], [2, 2, 11, 142, 60, 266, 238, 114, 98, 20, 7, 0], [2, 2, 11, 143, 53, 287, 203, 149, 77, 27, 6, 0], [2, 2, 11, 144, 46, 308, 168, 184, 56, 34, 5, 0], [2, 2, 11, 145, 39, 329, 133, 219, 35, 41, 4, 0], [2, 2, 11, 146, 32, 350, 98, 254, 14, 48, 3, 0], [2, 2, 12, 132, 101, 175, 357, 23, 133, 19, 3, 1], [2, 2, 12, 133, 94, 196, 322, 58, 112, 26, 2, 1], [2, 2, 12, 133, 95, 189, 343, 23, 147, 5, 9, 0], [2, 2, 12, 134, 87, 217, 287, 93, 91, 33, 1, 1], [2, 2, 12, 134, 88, 210, 308, 58, 126, 12, 8, 0], [2, 2, 12, 135, 80, 238, 252, 128, 70, 40, 0, 1], [2, 2, 12, 135, 81, 231, 273, 93, 105, 19, 7, 0], [2, 2, 12, 136, 74, 252, 238, 128, 84, 26, 6, 0], [2, 2, 12, 137, 67, 273, 203, 163, 63, 33, 5, 0], [2, 2, 12, 138, 60, 294, 168, 198, 42, 40, 4, 0], [2, 2, 12, 139, 53, 315, 133, 233, 21, 47, 3, 0], [2, 2, 12, 140, 46, 336, 98, 268, 0, 54, 2, 0], [2, 2, 13, 125, 122, 140, 392, 2, 140, 18, 3, 1], [2, 2, 13, 126, 115, 161, 357, 37, 119, 25, 2, 1], [2, 2, 13, 126, 116, 154, 378, 2, 154, 4, 9, 0], [2, 2, 13, 127, 108, 182, 322, 72, 98, 32, 1, 1], [2, 2, 13, 127, 109, 175, 343, 37, 133, 11, 8, 0], [2, 2, 13, 128, 101, 203, 287, 107, 77, 39, 0, 1], [2, 2, 13, 128, 102, 196, 308, 72, 112, 18, 7, 0], [2, 2, 13, 129, 95, 217, 273, 107, 91, 25, 6, 0], [2, 2, 13, 130, 88, 238, 238, 142, 70, 32, 5, 0], [2, 2, 13, 131, 81, 259, 203, 177, 49, 39, 4, 0], [2, 2, 13, 132, 74, 280, 168, 212, 28, 46, 3, 0], [2, 2, 13, 133, 67, 301, 133, 247, 7, 53, 2, 0], [2, 2, 14, 119, 136, 126, 392, 16, 126, 24, 2, 1], [2, 2, 14, 120, 129, 147, 357, 51, 105, 31, 1, 1], [2, 2, 14, 120, 130, 140, 378, 16, 140, 10, 8, 0], [2, 2, 14, 121, 122, 168, 322, 86, 84, 38, 0, 1], [2, 2, 14, 121, 123, 161, 343, 51, 119, 17, 7, 0], [2, 2, 14, 122, 116, 182, 308, 86, 98, 24, 6, 0], [2, 2, 14, 123, 109, 203, 273, 121, 77, 31, 5, 0], [2, 2, 14, 124, 102, 224, 238, 156, 56, 38, 4, 0], [2, 2, 14, 125, 95, 245, 203, 191, 35, 45, 3, 0], [2, 2, 14, 126, 88, 266, 168, 226, 14, 52, 2, 0], [2, 2, 15, 113, 150, 112, 392, 30, 112, 30, 1, 1], [2, 2, 15, 114, 143, 133, 357, 65, 91, 37, 0, 1], [2, 2, 15, 114, 144, 126, 378, 30, 126, 16, 7, 0], [2, 2, 15, 115, 137, 147, 343, 65, 105, 23, 6, 0], [2, 2, 15, 116, 130, 168, 308, 100, 84, 30, 5, 0], [2, 2, 15, 117, 123, 189, 273, 135, 63, 37, 4, 0], [2, 2, 15, 118, 116, 210, 238, 170, 42, 44, 3, 0], [2, 2, 15, 119, 109, 231, 203, 205, 21, 51, 2, 0], [2, 2, 15, 120, 102, 252, 168, 240, 0, 58, 1, 0], [2, 2, 16, 106, 171, 77, 427, 9, 119, 29, 1, 1], [2, 2, 16, 107, 164, 98, 392, 44, 98, 36, 0, 1], [2, 2, 16, 107, 165, 91, 413, 9, 133, 15, 7, 0], [2, 2, 16, 108, 158, 112, 378, 44, 112, 22, 6, 0], [2, 2, 16, 109, 151, 133, 343, 79, 91, 29, 5, 0], [2, 2, 16, 110, 144, 154, 308, 114, 70, 36, 4, 0], [2, 2, 16, 111, 137, 175, 273, 149, 49, 43, 3, 0], [2, 2, 16, 112, 130, 196, 238, 184, 28, 50, 2, 0], [2, 2, 16, 113, 123, 217, 203, 219, 7, 57, 1, 0], [2, 2, 17, 100, 185, 63, 427, 23, 105, 35, 0, 1], [2, 2, 17, 101, 179, 77, 413, 23, 119, 21, 6, 0], [2, 2, 17, 102, 172, 98, 378, 58, 98, 28, 5, 0], [2, 2, 17, 103, 165, 119, 343, 93, 77, 35, 4, 0], [2, 2, 17, 104, 158, 140, 308, 128, 56, 42, 3, 0], [2, 2, 17, 105, 151, 161, 273, 163, 35, 49, 2, 0], [2, 2, 17, 106, 144, 182, 238, 198, 14, 56, 1, 0], [2, 2, 18, 93, 206, 28, 462, 2, 112, 34, 0, 1], [2, 2, 18, 94, 200, 42, 448, 2, 126, 20, 6, 0], [2, 2, 18, 95, 193, 63, 413, 37, 105, 27, 5, 0], [2, 2, 18, 96, 186, 84, 378, 72, 84, 34, 4, 0], [2, 2, 18, 97, 179, 105, 343, 107, 63, 41, 3, 0], [2, 2, 18, 98, 172, 126, 308, 142, 42, 48, 2, 0], [2, 2, 18, 99, 165, 147, 273, 177, 21, 55, 1, 0], [2, 2, 18, 100, 158, 168, 238, 212, 0, 62, 0, 0], [2, 2, 19, 88, 214, 28, 448, 16, 112, 26, 5, 0], [2, 2, 19, 89, 207, 49, 413, 51, 91, 33, 4, 0], [2, 2, 19, 90, 200, 70, 378, 86, 70, 40, 3, 0], [2, 2, 19, 91, 193, 91, 343, 121, 49, 47, 2, 0], [2, 2, 19, 92, 186, 112, 308, 156, 28, 54, 1, 0], [2, 2, 19, 93, 179, 133, 273, 191, 7, 61, 0, 0], [2, 2, 20, 82, 228, 14, 448, 30, 98, 32, 4, 0], [2, 2, 20, 83, 221, 35, 413, 65, 77, 39, 3, 0], [2, 2, 20, 84, 214, 56, 378, 100, 56, 46, 2, 0], [2, 2, 20, 85, 207, 77, 343, 135, 35, 53, 1, 0], [2, 2, 20, 86, 200, 98, 308, 170, 14, 60, 0, 0], [2, 2, 21, 76, 242, 0, 448, 44, 84, 38, 3, 0], [2, 2, 21, 77, 235, 21, 413, 79, 63, 45, 2, 0], [2, 2, 21, 78, 228, 42, 378, 114, 42, 52, 1, 0], [2, 2, 21, 79, 221, 63, 343, 149, 21, 59, 0, 0], [2, 2, 22, 71, 249, 7, 413, 93, 49, 51, 1, 0], [2, 2, 22, 72, 242, 28, 378, 128, 28, 58, 0, 0], [2, 3, 1, 177, 9, 273, 315, 9, 153, 16, 0, 2], [2, 3, 1, 178, 3, 287, 301, 9, 167, 2, 6, 1], [2, 3, 2, 172, 17, 273, 301, 23, 153, 8, 5, 1], [2, 3, 2, 173, 10, 294, 266, 58, 132, 15, 4, 1], [2, 3, 2, 174, 3, 315, 231, 93, 111, 22, 3, 1], [2, 3, 2, 174, 4, 308, 252, 58, 146, 1, 10, 0], [2, 3, 3, 165, 38, 238, 336, 2, 160, 7, 5, 1], [2, 3, 3, 166, 31, 259, 301, 37, 139, 14, 4, 1], [2, 3, 3, 167, 24, 280, 266, 72, 118, 21, 3, 1], [2, 3, 3, 167, 25, 273, 287, 37, 153, 0, 10, 0], [2, 3, 3, 168, 17, 301, 231, 107, 97, 28, 2, 1], [2, 3, 3, 168, 18, 294, 252, 72, 132, 7, 9, 0], [2, 3, 3, 169, 10, 322, 196, 142, 76, 35, 1, 1], [2, 3, 3, 169, 11, 315, 217, 107, 111, 14, 8, 0], [2, 3, 3, 170, 3, 343, 161, 177, 55, 42, 0, 1], [2, 3, 3, 170, 4, 336, 182, 142, 90, 21, 7, 0], [2, 3, 4, 159, 52, 224, 336, 16, 146, 13, 4, 1], [2, 3, 4, 160, 45, 245, 301, 51, 125, 20, 3, 1], [2, 3, 4, 161, 38, 266, 266, 86, 104, 27, 2, 1], [2, 3, 4, 161, 39, 259, 287, 51, 139, 6, 9, 0], [2, 3, 4, 162, 31, 287, 231, 121, 83, 34, 1, 1], [2, 3, 4, 162, 32, 280, 252, 86, 118, 13, 8, 0], [2, 3, 4, 163, 24, 308, 196, 156, 62, 41, 0, 1], [2, 3, 4, 163, 25, 301, 217, 121, 97, 20, 7, 0], [2, 3, 4, 164, 18, 322, 182, 156, 76, 27, 6, 0], [2, 3, 4, 165, 11, 343, 147, 191, 55, 34, 5, 0], [2, 3, 4, 166, 4, 364, 112, 226, 34, 41, 4, 0], [2, 3, 5, 153, 66, 210, 336, 30, 132, 19, 3, 1], [2, 3, 5, 154, 59, 231, 301, 65, 111, 26, 2, 1], [2, 3, 5, 154, 60, 224, 322, 30, 146, 5, 9, 0], [2, 3, 5, 155, 52, 252, 266, 100, 90, 33, 1, 1], [2, 3, 5, 155, 53, 245, 287, 65, 125, 12, 8, 0], [2, 3, 5, 156, 45, 273, 231, 135, 69, 40, 0, 1], [2, 3, 5, 156, 46, 266, 252, 100, 104, 19, 7, 0], [2, 3, 5, 157, 39, 287, 217, 135, 83, 26, 6, 0], [2, 3, 5, 158, 32, 308, 182, 170, 62, 33, 5, 0], [2, 3, 5, 159, 25, 329, 147, 205, 41, 40, 4, 0], [2, 3, 5, 160, 18, 350, 112, 240, 20, 47, 3, 0], [2, 3, 6, 146, 87, 175, 371, 9, 139, 18, 3, 1], [2, 3, 6, 147, 80, 196, 336, 44, 118, 25, 2, 1], [2, 3, 6, 147, 81, 189, 357, 9, 153, 4, 9, 0], [2, 3, 6, 148, 73, 217, 301, 79, 97, 32, 1, 1], [2, 3, 6, 148, 74, 210, 322, 44, 132, 11, 8, 0], [2, 3, 6, 149, 66, 238, 266, 114, 76, 39, 0, 1], [2, 3, 6, 149, 67, 231, 287, 79, 111, 18, 7, 0], [2, 3, 6, 150, 60, 252, 252, 114, 90, 25, 6, 0], [2, 3, 6, 151, 53, 273, 217, 149, 69, 32, 5, 0], [2, 3, 6, 152, 46, 294, 182, 184, 48, 39, 4, 0], [2, 3, 6, 153, 39, 315, 147, 219, 27, 46, 3, 0], [2, 3, 6, 154, 32, 336, 112, 254, 6, 53, 2, 0], [2, 3, 7, 140, 101, 161, 371, 23, 125, 24, 2, 1], [2, 3, 7, 141, 94, 182, 336, 58, 104, 31, 1, 1], [2, 3, 7, 141, 95, 175, 357, 23, 139, 10, 8, 0], [2, 3, 7, 142, 87, 203, 301, 93, 83, 38, 0, 1], [2, 3, 7, 142, 88, 196, 322, 58, 118, 17, 7, 0], [2, 3, 7, 143, 81, 217, 287, 93, 97, 24, 6, 0], [2, 3, 7, 144, 74, 238, 252, 128, 76, 31, 5, 0], [2, 3, 7, 145, 67, 259, 217, 163, 55, 38, 4, 0], [2, 3, 7, 146, 60, 280, 182, 198, 34, 45, 3, 0], [2, 3, 7, 147, 53, 301, 147, 233, 13, 52, 2, 0], [2, 3, 8, 133, 122, 126, 406, 2, 132, 23, 2, 1], [2, 3, 8, 134, 115, 147, 371, 37, 111, 30, 1, 1], [2, 3, 8, 134, 116, 140, 392, 2, 146, 9, 8, 0], [2, 3, 8, 135, 108, 168, 336, 72, 90, 37, 0, 1], [2, 3, 8, 135, 109, 161, 357, 37, 125, 16, 7, 0], [2, 3, 8, 136, 102, 182, 322, 72, 104, 23, 6, 0], [2, 3, 8, 137, 95, 203, 287, 107, 83, 30, 5, 0], [2, 3, 8, 138, 88, 224, 252, 142, 62, 37, 4, 0], [2, 3, 8, 139, 81, 245, 217, 177, 41, 44, 3, 0], [2, 3, 8, 140, 74, 266, 182, 212, 20, 51, 2, 0], [2, 3, 9, 127, 136, 112, 406, 16, 118, 29, 1, 1], [2, 3, 9, 128, 129, 133, 371, 51, 97, 36, 0, 1], [2, 3, 9, 128, 130, 126, 392, 16, 132, 15, 7, 0], [2, 3, 9, 129, 123, 147, 357, 51, 111, 22, 6, 0], [2, 3, 9, 130, 116, 168, 322, 86, 90, 29, 5, 0], [2, 3, 9, 131, 109, 189, 287, 121, 69, 36, 4, 0], [2, 3, 9, 132, 102, 210, 252, 156, 48, 43, 3, 0], [2, 3, 9, 133, 95, 231, 217, 191, 27, 50, 2, 0], [2, 3, 9, 134, 88, 252, 182, 226, 6, 57, 1, 0], [2, 3, 10, 121, 150, 98, 406, 30, 104, 35, 0, 1], [2, 3, 10, 122, 144, 112, 392, 30, 118, 21, 6, 0], [2, 3, 10, 123, 137, 133, 357, 65, 97, 28, 5, 0], [2, 3, 10, 124, 130, 154, 322, 100, 76, 35, 4, 0], [2, 3, 10, 125, 123, 175, 287, 135, 55, 42, 3, 0], [2, 3, 10, 126, 116, 196, 252, 170, 34, 49, 2, 0], [2, 3, 10, 127, 109, 217, 217, 205, 13, 56, 1, 0], [2, 3, 11, 114, 171, 63, 441, 9, 111, 34, 0, 1], [2, 3, 11, 115, 165, 77, 427, 9, 125, 20, 6, 0], [2, 3, 11, 116, 158, 98, 392, 44, 104, 27, 5, 0], [2, 3, 11, 117, 151, 119, 357, 79, 83, 34, 4, 0], [2, 3, 11, 118, 144, 140, 322, 114, 62, 41, 3, 0], [2, 3, 11, 119, 137, 161, 287, 149, 41, 48, 2, 0], [2, 3, 11, 120, 130, 182, 252, 184, 20, 55, 1, 0], [2, 3, 12, 109, 179, 63, 427, 23, 111, 26, 5, 0], [2, 3, 12, 110, 172, 84, 392, 58, 90, 33, 4, 0], [2, 3, 12, 111, 165, 105, 357, 93, 69, 40, 3, 0], [2, 3, 12, 112, 158, 126, 322, 128, 48, 47, 2, 0], [2, 3, 12, 113, 151, 147, 287, 163, 27, 54, 1, 0], [2, 3, 12, 114, 144, 168, 252, 198, 6, 61, 0, 0], [2, 3, 13, 102, 200, 28, 462, 2, 118, 25, 5, 0], [2, 3, 13, 103, 193, 49, 427, 37, 97, 32, 4, 0], [2, 3, 13, 104, 186, 70, 392, 72, 76, 39, 3, 0], [2, 3, 13, 105, 179, 91, 357, 107, 55, 46, 2, 0], [2, 3, 13, 106, 172, 112, 322, 142, 34, 53, 1, 0], [2, 3, 13, 107, 165, 133, 287, 177, 13, 60, 0, 0], [2, 3, 14, 96, 214, 14, 462, 16, 104, 31, 4, 0], [2, 3, 14, 97, 207, 35, 427, 51, 83, 38, 3, 0], [2, 3, 14, 98, 200, 56, 392, 86, 62, 45, 2, 0], [2, 3, 14, 99, 193, 77, 357, 121, 41, 52, 1, 0], [2, 3, 14, 100, 186, 98, 322, 156, 20, 59, 0, 0], [2, 3, 15, 90, 228, 0, 462, 30, 90, 37, 3, 0], [2, 3, 15, 91, 221, 21, 427, 65, 69, 44, 2, 0], [2, 3, 15, 92, 214, 42, 392, 100, 48, 51, 1, 0], [2, 3, 15, 93, 207, 63, 357, 135, 27, 58, 0, 0], [2, 3, 16, 85, 235, 7, 427, 79, 55, 50, 1, 0], [2, 3, 16, 86, 228, 28, 392, 114, 34, 57, 0, 0], [2, 4, 0, 161, 66, 196, 350, 30, 124, 24, 2, 1], [2, 4, 0, 162, 59, 217, 315, 65, 103, 31, 1, 1], [2, 4, 0, 162, 60, 210, 336, 30, 138, 10, 8, 0], [2, 4, 0, 163, 52, 238, 280, 100, 82, 38, 0, 1], [2, 4, 0, 163, 53, 231, 301, 65, 117, 17, 7, 0], [2, 4, 0, 164, 46, 252, 266, 100, 96, 24, 6, 0], [2, 4, 0, 165, 39, 273, 231, 135, 75, 31, 5, 0], [2, 4, 0, 166, 32, 294, 196, 170, 54, 38, 4, 0], [2, 4, 0, 167, 25, 315, 161, 205, 33, 45, 3, 0], [2, 4, 0, 168, 18, 336, 126, 240, 12, 52, 2, 0], [2, 4, 1, 154, 87, 161, 385, 9, 131, 23, 2, 1], [2, 4, 1, 155, 80, 182, 350, 44, 110, 30, 1, 1], [2, 4, 1, 155, 81, 175, 371, 9, 145, 9, 8, 0], [2, 4, 1, 156, 73, 203, 315, 79, 89, 37, 0, 1], [2, 4, 1, 156, 74, 196, 336, 44, 124, 16, 7, 0], [2, 4, 1, 157, 67, 217, 301, 79, 103, 23, 6, 0], [2, 4, 1, 158, 60, 238, 266, 114, 82, 30, 5, 0], [2, 4, 1, 159, 53, 259, 231, 149, 61, 37, 4, 0], [2, 4, 1, 160, 46, 280, 196, 184, 40, 44, 3, 0], [2, 4, 1, 161, 39, 301, 161, 219, 19, 51, 2, 0], [2, 4, 2, 148, 101, 147, 385, 23, 117, 29, 1, 1], [2, 4, 2, 149, 94, 168, 350, 58, 96, 36, 0, 1], [2, 4, 2, 149, 95, 161, 371, 23, 131, 15, 7, 0], [2, 4, 2, 150, 88, 182, 336, 58, 110, 22, 6, 0], [2, 4, 2, 151, 81, 203, 301, 93, 89, 29, 5, 0], [2, 4, 2, 152, 74, 224, 266, 128, 68, 36, 4, 0], [2, 4, 2, 153, 67, 245, 231, 163, 47, 43, 3, 0], [2, 4, 2, 154, 60, 266, 196, 198, 26, 50, 2, 0], [2, 4, 2, 155, 53, 287, 161, 233, 5, 57, 1, 0], [2, 4, 3, 141, 122, 112, 420, 2, 124, 28, 1, 1], [2, 4, 3, 142, 115, 133, 385, 37, 103, 35, 0, 1], [2, 4, 3, 142, 116, 126, 406, 2, 138, 14, 7, 0], [2, 4, 3, 143, 109, 147, 371, 37, 117, 21, 6, 0], [2, 4, 3, 144, 102, 168, 336, 72, 96, 28, 5, 0], [2, 4, 3, 145, 95, 189, 301, 107, 75, 35, 4, 0], [2, 4, 3, 146, 88, 210, 266, 142, 54, 42, 3, 0], [2, 4, 3, 147, 81, 231, 231, 177, 33, 49, 2, 0], [2, 4, 3, 148, 74, 252, 196, 212, 12, 56, 1, 0], [2, 4, 4, 135, 136, 98, 420, 16, 110, 34, 0, 1], [2, 4, 4, 136, 130, 112, 406, 16, 124, 20, 6, 0], [2, 4, 4, 137, 123, 133, 371, 51, 103, 27, 5, 0], [2, 4, 4, 138, 116, 154, 336, 86, 82, 34, 4, 0], [2, 4, 4, 139, 109, 175, 301, 121, 61, 41, 3, 0], [2, 4, 4, 140, 102, 196, 266, 156, 40, 48, 2, 0], [2, 4, 4, 141, 95, 217, 231, 191, 19, 55, 1, 0], [2, 4, 5, 130, 144, 98, 406, 30, 110, 26, 5, 0], [2, 4, 5, 131, 137, 119, 371, 65, 89, 33, 4, 0], [2, 4, 5, 132, 130, 140, 336, 100, 68, 40, 3, 0], [2, 4, 5, 133, 123, 161, 301, 135, 47, 47, 2, 0], [2, 4, 5, 134, 116, 182, 266, 170, 26, 54, 1, 0], [2, 4, 5, 135, 109, 203, 231, 205, 5, 61, 0, 0], [2, 4, 6, 123, 165, 63, 441, 9, 117, 25, 5, 0], [2, 4, 6, 124, 158, 84, 406, 44, 96, 32, 4, 0], [2, 4, 6, 125, 151, 105, 371, 79, 75, 39, 3, 0], [2, 4, 6, 126, 144, 126, 336, 114, 54, 46, 2, 0], [2, 4, 6, 127, 137, 147, 301, 149, 33, 53, 1, 0], [2, 4, 6, 128, 130, 168, 266, 184, 12, 60, 0, 0], [2, 4, 7, 117, 179, 49, 441, 23, 103, 31, 4, 0], [2, 4, 7, 118, 172, 70, 406, 58, 82, 38, 3, 0], [2, 4, 7, 119, 165, 91, 371, 93, 61, 45, 2, 0], [2, 4, 7, 120, 158, 112, 336, 128, 40, 52, 1, 0], [2, 4, 7, 121, 151, 133, 301, 163, 19, 59, 0, 0], [2, 4, 8, 110, 200, 14, 476, 2, 110, 30, 4, 0], [2, 4, 8, 111, 193, 35, 441, 37, 89, 37, 3, 0], [2, 4, 8, 112, 186, 56, 406, 72, 68, 44, 2, 0], [2, 4, 8, 113, 179, 77, 371, 107, 47, 51, 1, 0], [2, 4, 8, 114, 172, 98, 336, 142, 26, 58, 0, 0], [2, 4, 9, 104, 214, 0, 476, 16, 96, 36, 3, 0], [2, 4, 9, 105, 207, 21, 441, 51, 75, 43, 2, 0], [2, 4, 9, 106, 200, 42, 406, 86, 54, 50, 1, 0], [2, 4, 9, 107, 193, 63, 371, 121, 33, 57, 0, 0], [2, 4, 10, 99, 221, 7, 441, 65, 61, 49, 1, 0], [2, 4, 10, 100, 214, 28, 406, 100, 40, 56, 0, 0], [2, 5, 0, 138, 144, 84, 420, 30, 102, 31, 4, 0], [2, 5, 0, 139, 137, 105, 385, 65, 81, 38, 3, 0], [2, 5, 0, 140, 130, 126, 350, 100, 60, 45, 2, 0], [2, 5, 0, 141, 123, 147, 315, 135, 39, 52, 1, 0], [2, 5, 0, 142, 116, 168, 280, 170, 18, 59, 0, 0], [2, 5, 1, 131, 165, 49, 455, 9, 109, 30, 4, 0], [2, 5, 1, 132, 158, 70, 420, 44, 88, 37, 3, 0], [2, 5, 1, 133, 151, 91, 385, 79, 67, 44, 2, 0], [2, 5, 1, 134, 144, 112, 350, 114, 46, 51, 1, 0], [2, 5, 1, 135, 137, 133, 315, 149, 25, 58, 0, 0], [2, 5, 2, 125, 179, 35, 455, 23, 95, 36, 3, 0], [2, 5, 2, 126, 172, 56, 420, 58, 74, 43, 2, 0], [2, 5, 2, 127, 165, 77, 385, 93, 53, 50, 1, 0], [2, 5, 2, 128, 158, 98, 350, 128, 32, 57, 0, 0], [2, 5, 3, 118, 200, 0, 490, 2, 102, 35, 3, 0], [2, 5, 3, 119, 193, 21, 455, 37, 81, 42, 2, 0], [2, 5, 3, 120, 186, 42, 420, 72, 60, 49, 1, 0], [2, 5, 3, 121, 179, 63, 385, 107, 39, 56, 0, 0], [2, 5, 4, 113, 207, 7, 455, 51, 67, 48, 1, 0], [2, 5, 4, 114, 200, 28, 420, 86, 46, 55, 0, 0], [3, 0, 0, 188, 3, 259, 329, 15, 142, 17, 3, 1], [3, 0, 1, 182, 17, 245, 329, 29, 128, 23, 2, 1], [3, 0, 1, 183, 10, 266, 294, 64, 107, 30, 1, 1], [3, 0, 1, 183, 11, 259, 315, 29, 142, 9, 8, 0], [3, 0, 1, 184, 3, 287, 259, 99, 86, 37, 0, 1], [3, 0, 1, 184, 4, 280, 280, 64, 121, 16, 7, 0], [3, 0, 2, 175, 38, 210, 364, 8, 135, 22, 2, 1], [3, 0, 2, 176, 31, 231, 329, 43, 114, 29, 1, 1], [3, 0, 2, 176, 32, 224, 350, 8, 149, 8, 8, 0], [3, 0, 2, 177, 24, 252, 294, 78, 93, 36, 0, 1], [3, 0, 2, 177, 25, 245, 315, 43, 128, 15, 7, 0], [3, 0, 2, 178, 18, 266, 280, 78, 107, 22, 6, 0], [3, 0, 2, 179, 11, 287, 245, 113, 86, 29, 5, 0], [3, 0, 2, 180, 4, 308, 210, 148, 65, 36, 4, 0], [3, 0, 3, 169, 52, 196, 364, 22, 121, 28, 1, 1], [3, 0, 3, 170, 45, 217, 329, 57, 100, 35, 0, 1], [3, 0, 3, 170, 46, 210, 350, 22, 135, 14, 7, 0], [3, 0, 3, 171, 39, 231, 315, 57, 114, 21, 6, 0], [3, 0, 3, 172, 32, 252, 280, 92, 93, 28, 5, 0], [3, 0, 3, 173, 25, 273, 245, 127, 72, 35, 4, 0], [3, 0, 3, 174, 18, 294, 210, 162, 51, 42, 3, 0], [3, 0, 3, 175, 11, 315, 175, 197, 30, 49, 2, 0], [3, 0, 3, 176, 4, 336, 140, 232, 9, 56, 1, 0], [3, 0, 4, 162, 73, 161, 399, 1, 128, 27, 1, 1], [3, 0, 4, 163, 66, 182, 364, 36, 107, 34, 0, 1], [3, 0, 4, 163, 67, 175, 385, 1, 142, 13, 7, 0], [3, 0, 4, 164, 60, 196, 350, 36, 121, 20, 6, 0], [3, 0, 4, 165, 53, 217, 315, 71, 100, 27, 5, 0], [3, 0, 4, 166, 46, 238, 280, 106, 79, 34, 4, 0], [3, 0, 4, 167, 39, 259, 245, 141, 58, 41, 3, 0], [3, 0, 4, 168, 32, 280, 210, 176, 37, 48, 2, 0], [3, 0, 4, 169, 25, 301, 175, 211, 16, 55, 1, 0], [3, 0, 5, 156, 87, 147, 399, 15, 114, 33, 0, 1], [3, 0, 5, 157, 81, 161, 385, 15, 128, 19, 6, 0], [3, 0, 5, 158, 74, 182, 350, 50, 107, 26, 5, 0], [3, 0, 5, 159, 67, 203, 315, 85, 86, 33, 4, 0], [3, 0, 5, 160, 60, 224, 280, 120, 65, 40, 3, 0], [3, 0, 5, 161, 53, 245, 245, 155, 44, 47, 2, 0], [3, 0, 5, 162, 46, 266, 210, 190, 23, 54, 1, 0], [3, 0, 5, 163, 39, 287, 175, 225, 2, 61, 0, 0], [3, 0, 6, 151, 95, 147, 385, 29, 114, 25, 5, 0], [3, 0, 6, 152, 88, 168, 350, 64, 93, 32, 4, 0], [3, 0, 6, 153, 81, 189, 315, 99, 72, 39, 3, 0], [3, 0, 6, 154, 74, 210, 280, 134, 51, 46, 2, 0], [3, 0, 6, 155, 67, 231, 245, 169, 30, 53, 1, 0], [3, 0, 6, 156, 60, 252, 210, 204, 9, 60, 0, 0], [3, 0, 7, 144, 116, 112, 420, 8, 121, 24, 5, 0], [3, 0, 7, 145, 109, 133, 385, 43, 100, 31, 4, 0], [3, 0, 7, 146, 102, 154, 350, 78, 79, 38, 3, 0], [3, 0, 7, 147, 95, 175, 315, 113, 58, 45, 2, 0], [3, 0, 7, 148, 88, 196, 280, 148, 37, 52, 1, 0], [3, 0, 7, 149, 81, 217, 245, 183, 16, 59, 0, 0], [3, 0, 8, 138, 130, 98, 420, 22, 107, 30, 4, 0], [3, 0, 8, 139, 123, 119, 385, 57, 86, 37, 3, 0], [3, 0, 8, 140, 116, 140, 350, 92, 65, 44, 2, 0], [3, 0, 8, 141, 109, 161, 315, 127, 44, 51, 1, 0], [3, 0, 8, 142, 102, 182, 280, 162, 23, 58, 0, 0], [3, 0, 9, 131, 151, 63, 455, 1, 114, 29, 4, 0], [3, 0, 9, 132, 144, 84, 420, 36, 93, 36, 3, 0], [3, 0, 9, 133, 137, 105, 385, 71, 72, 43, 2, 0], [3, 0, 9, 134, 130, 126, 350, 106, 51, 50, 1, 0], [3, 0, 9, 135, 123, 147, 315, 141, 30, 57, 0, 0], [3, 0, 10, 125, 165, 49, 455, 15, 100, 35, 3, 0], [3, 0, 10, 126, 158, 70, 420, 50, 79, 42, 2, 0], [3, 0, 10, 127, 151, 91, 385, 85, 58, 49, 1, 0], [3, 0, 10, 128, 144, 112, 350, 120, 37, 56, 0, 0], [3, 0, 11, 119, 179, 35, 455, 29, 86, 41, 2, 0], [3, 0, 11, 120, 172, 56, 420, 64, 65, 48, 1, 0], [3, 0, 11, 121, 165, 77, 385, 99, 44, 55, 0, 0], [3, 0, 12, 112, 200, 0, 490, 8, 93, 40, 2, 0], [3, 0, 12, 113, 193, 21, 455, 43, 72, 47, 1, 0], [3, 0, 12, 114, 186, 42, 420, 78, 51, 54, 0, 0], [3, 0, 13, 107, 207, 7, 455, 57, 58, 53, 0, 0], [3, 1, 0, 165, 81, 147, 399, 15, 120, 24, 5, 0], [3, 1, 0, 166, 74, 168, 364, 50, 99, 31, 4, 0], [3, 1, 0, 167, 67, 189, 329, 85, 78, 38, 3, 0], [3, 1, 0, 168, 60, 210, 294, 120, 57, 45, 2, 0], [3, 1, 0, 169, 53, 231, 259, 155, 36, 52, 1, 0], [3, 1, 0, 170, 46, 252, 224, 190, 15, 59, 0, 0], [3, 1, 1, 159, 95, 133, 399, 29, 106, 30, 4, 0], [3, 1, 1, 160, 88, 154, 364, 64, 85, 37, 3, 0], [3, 1, 1, 161, 81, 175, 329, 99, 64, 44, 2, 0], [3, 1, 1, 162, 74, 196, 294, 134, 43, 51, 1, 0], [3, 1, 1, 163, 67, 217, 259, 169, 22, 58, 0, 0], [3, 1, 2, 152, 116, 98, 434, 8, 113, 29, 4, 0], [3, 1, 2, 153, 109, 119, 399, 43, 92, 36, 3, 0], [3, 1, 2, 154, 102, 140, 364, 78, 71, 43, 2, 0], [3, 1, 2, 155, 95, 161, 329, 113, 50, 50, 1, 0], [3, 1, 2, 156, 88, 182, 294, 148, 29, 57, 0, 0], [3, 1, 3, 146, 130, 84, 434, 22, 99, 35, 3, 0], [3, 1, 3, 147, 123, 105, 399, 57, 78, 42, 2, 0], [3, 1, 3, 148, 116, 126, 364, 92, 57, 49, 1, 0], [3, 1, 3, 149, 109, 147, 329, 127, 36, 56, 0, 0], [3, 1, 4, 139, 151, 49, 469, 1, 106, 34, 3, 0], [3, 1, 4, 140, 144, 70, 434, 36, 85, 41, 2, 0], [3, 1, 4, 141, 137, 91, 399, 71, 64, 48, 1, 0], [3, 1, 4, 142, 130, 112, 364, 106, 43, 55, 0, 0], [3, 1, 5, 133, 165, 35, 469, 15, 92, 40, 2, 0], [3, 1, 5, 134, 158, 56, 434, 50, 71, 47, 1, 0], [3, 1, 5, 135, 151, 77, 399, 85, 50, 54, 0, 0], [3, 1, 6, 127, 179, 21, 469, 29, 78, 46, 1, 0], [3, 1, 6, 128, 172, 42, 434, 64, 57, 53, 0, 0], [3, 1, 7, 121, 193, 7, 469, 43, 64, 52, 0, 0], [3, 2, 0, 141, 165, 21, 483, 15, 84, 45, 1, 0], [3, 2, 0, 142, 158, 42, 448, 50, 63, 52, 0, 0], [3, 2, 1, 135, 179, 7, 483, 29, 70, 51, 0, 0]} (12, 960, 6) has 4625 possible DDs: {[1, 0, 6, 114, 10, 210, 350, 22, 171, 70, 4, 0, 2], [1, 0, 6, 115, 3, 231, 315, 57, 150, 77, 3, 0, 2], [1, 0, 7, 107, 31, 175, 385, 1, 178, 69, 4, 0, 2], [1, 0, 7, 108, 24, 196, 350, 36, 157, 76, 3, 0, 2], [1, 0, 7, 109, 17, 217, 315, 71, 136, 83, 2, 0, 2], [1, 0, 7, 110, 10, 238, 280, 106, 115, 90, 1, 0, 2], [1, 0, 7, 110, 13, 218, 336, 22, 185, 62, 1, 4, 1], [1, 0, 7, 111, 3, 259, 245, 141, 94, 97, 0, 0, 2], [1, 0, 7, 111, 6, 239, 301, 57, 164, 69, 0, 4, 1], [1, 0, 7, 111, 7, 232, 322, 22, 199, 48, 7, 3, 1], [1, 0, 7, 112, 0, 253, 287, 57, 178, 55, 6, 3, 1], [1, 0, 7, 112, 1, 246, 308, 22, 213, 34, 13, 2, 1], [1, 0, 8, 101, 45, 161, 385, 15, 164, 75, 3, 0, 2], [1, 0, 8, 102, 38, 182, 350, 50, 143, 82, 2, 0, 2], [1, 0, 8, 103, 31, 203, 315, 85, 122, 89, 1, 0, 2], [1, 0, 8, 103, 34, 183, 371, 1, 192, 61, 1, 4, 1], [1, 0, 8, 104, 24, 224, 280, 120, 101, 96, 0, 0, 2], [1, 0, 8, 104, 27, 204, 336, 36, 171, 68, 0, 4, 1], [1, 0, 8, 104, 28, 197, 357, 1, 206, 47, 7, 3, 1], [1, 0, 8, 105, 21, 218, 322, 36, 185, 54, 6, 3, 1], [1, 0, 8, 105, 22, 211, 343, 1, 220, 33, 13, 2, 1], [1, 0, 8, 106, 14, 239, 287, 71, 164, 61, 5, 3, 1], [1, 0, 8, 106, 15, 232, 308, 36, 199, 40, 12, 2, 1], [1, 0, 8, 106, 16, 225, 329, 1, 234, 19, 19, 1, 1], [1, 0, 8, 107, 7, 260, 252, 106, 143, 68, 4, 3, 1], [1, 0, 8, 107, 8, 253, 273, 71, 178, 47, 11, 2, 1], [1, 0, 8, 107, 9, 246, 294, 36, 213, 26, 18, 1, 1], [1, 0, 8, 107, 10, 239, 315, 1, 248, 5, 25, 0, 1], [1, 0, 8, 107, 10, 240, 308, 22, 213, 40, 4, 7, 0], [1, 0, 8, 108, 0, 281, 217, 141, 122, 75, 3, 3, 1], [1, 0, 8, 108, 1, 274, 238, 106, 157, 54, 10, 2, 1], [1, 0, 8, 108, 2, 267, 259, 71, 192, 33, 17, 1, 1], [1, 0, 8, 108, 3, 260, 280, 36, 227, 12, 24, 0, 1], [1, 0, 8, 108, 3, 261, 273, 57, 192, 47, 3, 7, 0], [1, 0, 8, 108, 4, 254, 294, 22, 227, 26, 10, 6, 0], [1, 0, 9, 95, 59, 147, 385, 29, 150, 81, 2, 0, 2], [1, 0, 9, 96, 52, 168, 350, 64, 129, 88, 1, 0, 2], [1, 0, 9, 97, 45, 189, 315, 99, 108, 95, 0, 0, 2], [1, 0, 9, 97, 48, 169, 371, 15, 178, 67, 0, 4, 1], [1, 0, 9, 98, 42, 183, 357, 15, 192, 53, 6, 3, 1], [1, 0, 9, 99, 35, 204, 322, 50, 171, 60, 5, 3, 1], [1, 0, 9, 99, 36, 197, 343, 15, 206, 39, 12, 2, 1], [1, 0, 9, 100, 28, 225, 287, 85, 150, 67, 4, 3, 1], [1, 0, 9, 100, 29, 218, 308, 50, 185, 46, 11, 2, 1], [1, 0, 9, 100, 30, 211, 329, 15, 220, 25, 18, 1, 1], [1, 0, 9, 100, 31, 205, 343, 1, 220, 39, 4, 7, 0], [1, 0, 9, 101, 21, 246, 252, 120, 129, 74, 3, 3, 1], [1, 0, 9, 101, 22, 239, 273, 85, 164, 53, 10, 2, 1], [1, 0, 9, 101, 23, 232, 294, 50, 199, 32, 17, 1, 1], [1, 0, 9, 101, 24, 225, 315, 15, 234, 11, 24, 0, 1], [1, 0, 9, 101, 24, 226, 308, 36, 199, 46, 3, 7, 0], [1, 0, 9, 101, 25, 219, 329, 1, 234, 25, 10, 6, 0], [1, 0, 9, 102, 14, 267, 217, 155, 108, 81, 2, 3, 1], [1, 0, 9, 102, 15, 260, 238, 120, 143, 60, 9, 2, 1], [1, 0, 9, 102, 16, 253, 259, 85, 178, 39, 16, 1, 1], [1, 0, 9, 102, 17, 246, 280, 50, 213, 18, 23, 0, 1], [1, 0, 9, 102, 17, 247, 273, 71, 178, 53, 2, 7, 0], [1, 0, 9, 102, 18, 240, 294, 36, 213, 32, 9, 6, 0], [1, 0, 9, 102, 19, 233, 315, 1, 248, 11, 16, 5, 0], [1, 0, 9, 103, 7, 288, 182, 190, 87, 88, 1, 3, 1], [1, 0, 9, 103, 8, 281, 203, 155, 122, 67, 8, 2, 1], [1, 0, 9, 103, 9, 274, 224, 120, 157, 46, 15, 1, 1], [1, 0, 9, 103, 10, 267, 245, 85, 192, 25, 22, 0, 1], [1, 0, 9, 103, 10, 268, 238, 106, 157, 60, 1, 7, 0], [1, 0, 9, 103, 11, 261, 259, 71, 192, 39, 8, 6, 0], [1, 0, 9, 103, 12, 254, 280, 36, 227, 18, 15, 5, 0], [1, 0, 9, 104, 0, 309, 147, 225, 66, 95, 0, 3, 1], [1, 0, 9, 104, 1, 302, 168, 190, 101, 74, 7, 2, 1], [1, 0, 9, 104, 2, 295, 189, 155, 136, 53, 14, 1, 1], [1, 0, 9, 104, 3, 288, 210, 120, 171, 32, 21, 0, 1], [1, 0, 9, 104, 3, 289, 203, 141, 136, 67, 0, 7, 0], [1, 0, 9, 104, 4, 282, 224, 106, 171, 46, 7, 6, 0], [1, 0, 9, 104, 5, 275, 245, 71, 206, 25, 14, 5, 0], [1, 0, 9, 104, 6, 268, 266, 36, 241, 4, 21, 4, 0], [1, 0, 10, 88, 80, 112, 420, 8, 157, 80, 2, 0, 2], [1, 0, 10, 89, 73, 133, 385, 43, 136, 87, 1, 0, 2], [1, 0, 10, 90, 66, 154, 350, 78, 115, 94, 0, 0, 2], [1, 0, 10, 92, 56, 169, 357, 29, 178, 59, 5, 3, 1], [1, 0, 10, 93, 49, 190, 322, 64, 157, 66, 4, 3, 1], [1, 0, 10, 93, 50, 183, 343, 29, 192, 45, 11, 2, 1], [1, 0, 10, 94, 42, 211, 287, 99, 136, 73, 3, 3, 1], [1, 0, 10, 94, 43, 204, 308, 64, 171, 52, 10, 2, 1], [1, 0, 10, 94, 44, 197, 329, 29, 206, 31, 17, 1, 1], [1, 0, 10, 94, 45, 191, 343, 15, 206, 45, 3, 7, 0], [1, 0, 10, 95, 35, 232, 252, 134, 115, 80, 2, 3, 1], [1, 0, 10, 95, 36, 225, 273, 99, 150, 59, 9, 2, 1], [1, 0, 10, 95, 37, 218, 294, 64, 185, 38, 16, 1, 1], [1, 0, 10, 95, 38, 211, 315, 29, 220, 17, 23, 0, 1], [1, 0, 10, 95, 38, 212, 308, 50, 185, 52, 2, 7, 0], [1, 0, 10, 95, 39, 205, 329, 15, 220, 31, 9, 6, 0], [1, 0, 10, 96, 28, 253, 217, 169, 94, 87, 1, 3, 1], [1, 0, 10, 96, 29, 246, 238, 134, 129, 66, 8, 2, 1], [1, 0, 10, 96, 30, 239, 259, 99, 164, 45, 15, 1, 1], [1, 0, 10, 96, 31, 232, 280, 64, 199, 24, 22, 0, 1], [1, 0, 10, 96, 31, 233, 273, 85, 164, 59, 1, 7, 0], [1, 0, 10, 96, 32, 226, 294, 50, 199, 38, 8, 6, 0], [1, 0, 10, 96, 33, 219, 315, 15, 234, 17, 15, 5, 0], [1, 0, 10, 97, 21, 274, 182, 204, 73, 94, 0, 3, 1], [1, 0, 10, 97, 22, 267, 203, 169, 108, 73, 7, 2, 1], [1, 0, 10, 97, 23, 260, 224, 134, 143, 52, 14, 1, 1], [1, 0, 10, 97, 24, 253, 245, 99, 178, 31, 21, 0, 1], [1, 0, 10, 97, 24, 254, 238, 120, 143, 66, 0, 7, 0], [1, 0, 10, 97, 25, 247, 259, 85, 178, 45, 7, 6, 0], [1, 0, 10, 97, 26, 240, 280, 50, 213, 24, 14, 5, 0], [1, 0, 10, 97, 27, 233, 301, 15, 248, 3, 21, 4, 0], [1, 0, 10, 98, 15, 288, 168, 204, 87, 80, 6, 2, 1], [1, 0, 10, 98, 16, 281, 189, 169, 122, 59, 13, 1, 1], [1, 0, 10, 98, 17, 274, 210, 134, 157, 38, 20, 0, 1], [1, 0, 10, 98, 18, 268, 224, 120, 157, 52, 6, 6, 0], [1, 0, 10, 98, 19, 261, 245, 85, 192, 31, 13, 5, 0], [1, 0, 10, 98, 20, 254, 266, 50, 227, 10, 20, 4, 0], [1, 0, 10, 99, 8, 309, 133, 239, 66, 87, 5, 2, 1], [1, 0, 10, 99, 9, 302, 154, 204, 101, 66, 12, 1, 1], [1, 0, 10, 99, 10, 295, 175, 169, 136, 45, 19, 0, 1], [1, 0, 10, 99, 11, 289, 189, 155, 136, 59, 5, 6, 0], [1, 0, 10, 99, 12, 282, 210, 120, 171, 38, 12, 5, 0], [1, 0, 10, 99, 13, 275, 231, 85, 206, 17, 19, 4, 0], [1, 0, 10, 100, 1, 330, 98, 274, 45, 94, 4, 2, 1], [1, 0, 10, 100, 2, 323, 119, 239, 80, 73, 11, 1, 1], [1, 0, 10, 100, 3, 316, 140, 204, 115, 52, 18, 0, 1], [1, 0, 10, 100, 4, 310, 154, 190, 115, 66, 4, 6, 0], [1, 0, 10, 100, 5, 303, 175, 155, 150, 45, 11, 5, 0], [1, 0, 10, 100, 6, 296, 196, 120, 185, 24, 18, 4, 0], [1, 0, 10, 100, 7, 289, 217, 85, 220, 3, 25, 3, 0], [1, 0, 10, 101, 0, 310, 182, 120, 199, 10, 24, 3, 0], [1, 0, 11, 82, 94, 98, 420, 22, 143, 86, 1, 0, 2], [1, 0, 11, 83, 87, 119, 385, 57, 122, 93, 0, 0, 2], [1, 0, 11, 85, 77, 134, 392, 8, 185, 58, 5, 3, 1], [1, 0, 11, 86, 70, 155, 357, 43, 164, 65, 4, 3, 1], [1, 0, 11, 86, 71, 148, 378, 8, 199, 44, 11, 2, 1], [1, 0, 11, 87, 63, 176, 322, 78, 143, 72, 3, 3, 1], [1, 0, 11, 87, 64, 169, 343, 43, 178, 51, 10, 2, 1], [1, 0, 11, 87, 65, 162, 364, 8, 213, 30, 17, 1, 1], [1, 0, 11, 88, 56, 197, 287, 113, 122, 79, 2, 3, 1], [1, 0, 11, 88, 57, 190, 308, 78, 157, 58, 9, 2, 1], [1, 0, 11, 88, 58, 183, 329, 43, 192, 37, 16, 1, 1], [1, 0, 11, 88, 59, 176, 350, 8, 227, 16, 23, 0, 1], [1, 0, 11, 88, 59, 177, 343, 29, 192, 51, 2, 7, 0], [1, 0, 11, 89, 49, 218, 252, 148, 101, 86, 1, 3, 1], [1, 0, 11, 89, 50, 211, 273, 113, 136, 65, 8, 2, 1], [1, 0, 11, 89, 51, 204, 294, 78, 171, 44, 15, 1, 1], [1, 0, 11, 89, 52, 197, 315, 43, 206, 23, 22, 0, 1], [1, 0, 11, 89, 52, 198, 308, 64, 171, 58, 1, 7, 0], [1, 0, 11, 89, 53, 191, 329, 29, 206, 37, 8, 6, 0], [1, 0, 11, 90, 42, 239, 217, 183, 80, 93, 0, 3, 1], [1, 0, 11, 90, 43, 232, 238, 148, 115, 72, 7, 2, 1], [1, 0, 11, 90, 44, 225, 259, 113, 150, 51, 14, 1, 1], [1, 0, 11, 90, 45, 218, 280, 78, 185, 30, 21, 0, 1], [1, 0, 11, 90, 45, 219, 273, 99, 150, 65, 0, 7, 0], [1, 0, 11, 90, 46, 212, 294, 64, 185, 44, 7, 6, 0], [1, 0, 11, 90, 47, 205, 315, 29, 220, 23, 14, 5, 0], [1, 0, 11, 91, 36, 253, 203, 183, 94, 79, 6, 2, 1], [1, 0, 11, 91, 37, 246, 224, 148, 129, 58, 13, 1, 1], [1, 0, 11, 91, 38, 239, 245, 113, 164, 37, 20, 0, 1], [1, 0, 11, 91, 39, 233, 259, 99, 164, 51, 6, 6, 0], [1, 0, 11, 91, 40, 226, 280, 64, 199, 30, 13, 5, 0], [1, 0, 11, 91, 41, 219, 301, 29, 234, 9, 20, 4, 0], [1, 0, 11, 92, 29, 274, 168, 218, 73, 86, 5, 2, 1], [1, 0, 11, 92, 30, 267, 189, 183, 108, 65, 12, 1, 1], [1, 0, 11, 92, 31, 260, 210, 148, 143, 44, 19, 0, 1], [1, 0, 11, 92, 32, 254, 224, 134, 143, 58, 5, 6, 0], [1, 0, 11, 92, 33, 247, 245, 99, 178, 37, 12, 5, 0], [1, 0, 11, 92, 34, 240, 266, 64, 213, 16, 19, 4, 0], [1, 0, 11, 93, 22, 295, 133, 253, 52, 93, 4, 2, 1], [1, 0, 11, 93, 23, 288, 154, 218, 87, 72, 11, 1, 1], [1, 0, 11, 93, 24, 281, 175, 183, 122, 51, 18, 0, 1], [1, 0, 11, 93, 25, 275, 189, 169, 122, 65, 4, 6, 0], [1, 0, 11, 93, 26, 268, 210, 134, 157, 44, 11, 5, 0], [1, 0, 11, 93, 27, 261, 231, 99, 192, 23, 18, 4, 0], [1, 0, 11, 93, 28, 254, 252, 64, 227, 2, 25, 3, 0], [1, 0, 11, 94, 15, 316, 98, 288, 31, 100, 3, 2, 1], [1, 0, 11, 94, 16, 309, 119, 253, 66, 79, 10, 1, 1], [1, 0, 11, 94, 17, 302, 140, 218, 101, 58, 17, 0, 1], [1, 0, 11, 94, 18, 296, 154, 204, 101, 72, 3, 6, 0], [1, 0, 11, 94, 19, 289, 175, 169, 136, 51, 10, 5, 0], [1, 0, 11, 94, 20, 282, 196, 134, 171, 30, 17, 4, 0], [1, 0, 11, 94, 21, 275, 217, 99, 206, 9, 24, 3, 0], [1, 0, 11, 95, 8, 337, 63, 323, 10, 107, 2, 2, 1], [1, 0, 11, 95, 9, 330, 84, 288, 45, 86, 9, 1, 1], [1, 0, 11, 95, 10, 323, 105, 253, 80, 65, 16, 0, 1], [1, 0, 11, 95, 11, 317, 119, 239, 80, 79, 2, 6, 0], [1, 0, 11, 95, 12, 310, 140, 204, 115, 58, 9, 5, 0], [1, 0, 11, 95, 13, 303, 161, 169, 150, 37, 16, 4, 0], [1, 0, 11, 95, 14, 296, 182, 134, 185, 16, 23, 3, 0], [1, 0, 11, 96, 2, 351, 49, 323, 24, 93, 8, 1, 1], [1, 0, 11, 96, 3, 344, 70, 288, 59, 72, 15, 0, 1], [1, 0, 11, 96, 4, 338, 84, 274, 59, 86, 1, 6, 0], [1, 0, 11, 96, 5, 331, 105, 239, 94, 65, 8, 5, 0], [1, 0, 11, 96, 6, 324, 126, 204, 129, 44, 15, 4, 0], [1, 0, 11, 96, 7, 317, 147, 169, 164, 23, 22, 3, 0], [1, 0, 11, 96, 8, 310, 168, 134, 199, 2, 29, 2, 0], [1, 0, 11, 97, 0, 338, 112, 204, 143, 30, 21, 3, 0], [1, 0, 11, 97, 1, 331, 133, 169, 178, 9, 28, 2, 0], [1, 0, 12, 75, 115, 63, 455, 1, 150, 85, 1, 0, 2], [1, 0, 12, 76, 108, 84, 420, 36, 129, 92, 0, 0, 2], [1, 0, 12, 79, 91, 120, 392, 22, 171, 64, 4, 3, 1], [1, 0, 12, 80, 84, 141, 357, 57, 150, 71, 3, 3, 1], [1, 0, 12, 80, 85, 134, 378, 22, 185, 50, 10, 2, 1], [1, 0, 12, 81, 77, 162, 322, 92, 129, 78, 2, 3, 1], [1, 0, 12, 81, 78, 155, 343, 57, 164, 57, 9, 2, 1], [1, 0, 12, 81, 79, 148, 364, 22, 199, 36, 16, 1, 1], [1, 0, 12, 81, 80, 142, 378, 8, 199, 50, 2, 7, 0], [1, 0, 12, 82, 70, 183, 287, 127, 108, 85, 1, 3, 1], [1, 0, 12, 82, 71, 176, 308, 92, 143, 64, 8, 2, 1], [1, 0, 12, 82, 72, 169, 329, 57, 178, 43, 15, 1, 1], [1, 0, 12, 82, 73, 162, 350, 22, 213, 22, 22, 0, 1], [1, 0, 12, 82, 73, 163, 343, 43, 178, 57, 1, 7, 0], [1, 0, 12, 82, 74, 156, 364, 8, 213, 36, 8, 6, 0], [1, 0, 12, 83, 63, 204, 252, 162, 87, 92, 0, 3, 1], [1, 0, 12, 83, 64, 197, 273, 127, 122, 71, 7, 2, 1], [1, 0, 12, 83, 65, 190, 294, 92, 157, 50, 14, 1, 1], [1, 0, 12, 83, 66, 183, 315, 57, 192, 29, 21, 0, 1], [1, 0, 12, 83, 66, 184, 308, 78, 157, 64, 0, 7, 0], [1, 0, 12, 83, 67, 177, 329, 43, 192, 43, 7, 6, 0], [1, 0, 12, 83, 68, 170, 350, 8, 227, 22, 14, 5, 0], [1, 0, 12, 84, 57, 218, 238, 162, 101, 78, 6, 2, 1], [1, 0, 12, 84, 58, 211, 259, 127, 136, 57, 13, 1, 1], [1, 0, 12, 84, 59, 204, 280, 92, 171, 36, 20, 0, 1], [1, 0, 12, 84, 60, 198, 294, 78, 171, 50, 6, 6, 0], [1, 0, 12, 84, 61, 191, 315, 43, 206, 29, 13, 5, 0], [1, 0, 12, 84, 62, 184, 336, 8, 241, 8, 20, 4, 0], [1, 0, 12, 85, 50, 239, 203, 197, 80, 85, 5, 2, 1], [1, 0, 12, 85, 51, 232, 224, 162, 115, 64, 12, 1, 1], [1, 0, 12, 85, 52, 225, 245, 127, 150, 43, 19, 0, 1], [1, 0, 12, 85, 53, 219, 259, 113, 150, 57, 5, 6, 0], [1, 0, 12, 85, 54, 212, 280, 78, 185, 36, 12, 5, 0], [1, 0, 12, 85, 55, 205, 301, 43, 220, 15, 19, 4, 0], [1, 0, 12, 86, 43, 260, 168, 232, 59, 92, 4, 2, 1], [1, 0, 12, 86, 44, 253, 189, 197, 94, 71, 11, 1, 1], [1, 0, 12, 86, 45, 246, 210, 162, 129, 50, 18, 0, 1], [1, 0, 12, 86, 46, 240, 224, 148, 129, 64, 4, 6, 0], [1, 0, 12, 86, 47, 233, 245, 113, 164, 43, 11, 5, 0], [1, 0, 12, 86, 48, 226, 266, 78, 199, 22, 18, 4, 0], [1, 0, 12, 86, 49, 219, 287, 43, 234, 1, 25, 3, 0], [1, 0, 12, 87, 36, 281, 133, 267, 38, 99, 3, 2, 1], [1, 0, 12, 87, 37, 274, 154, 232, 73, 78, 10, 1, 1], [1, 0, 12, 87, 38, 267, 175, 197, 108, 57, 17, 0, 1], [1, 0, 12, 87, 39, 261, 189, 183, 108, 71, 3, 6, 0], [1, 0, 12, 87, 40, 254, 210, 148, 143, 50, 10, 5, 0], [1, 0, 12, 87, 41, 247, 231, 113, 178, 29, 17, 4, 0], [1, 0, 12, 87, 42, 240, 252, 78, 213, 8, 24, 3, 0], [1, 0, 12, 88, 29, 302, 98, 302, 17, 106, 2, 2, 1], [1, 0, 12, 88, 30, 295, 119, 267, 52, 85, 9, 1, 1], [1, 0, 12, 88, 31, 288, 140, 232, 87, 64, 16, 0, 1], [1, 0, 12, 88, 32, 282, 154, 218, 87, 78, 2, 6, 0], [1, 0, 12, 88, 33, 275, 175, 183, 122, 57, 9, 5, 0], [1, 0, 12, 88, 34, 268, 196, 148, 157, 36, 16, 4, 0], [1, 0, 12, 88, 35, 261, 217, 113, 192, 15, 23, 3, 0], [1, 0, 12, 89, 23, 316, 84, 302, 31, 92, 8, 1, 1], [1, 0, 12, 89, 24, 309, 105, 267, 66, 71, 15, 0, 1], [1, 0, 12, 89, 25, 303, 119, 253, 66, 85, 1, 6, 0], [1, 0, 12, 89, 26, 296, 140, 218, 101, 64, 8, 5, 0], [1, 0, 12, 89, 27, 289, 161, 183, 136, 43, 15, 4, 0], [1, 0, 12, 89, 28, 282, 182, 148, 171, 22, 22, 3, 0], [1, 0, 12, 89, 29, 275, 203, 113, 206, 1, 29, 2, 0], [1, 0, 12, 90, 16, 337, 49, 337, 10, 99, 7, 1, 1], [1, 0, 12, 90, 17, 330, 70, 302, 45, 78, 14, 0, 1], [1, 0, 12, 90, 18, 324, 84, 288, 45, 92, 0, 6, 0], [1, 0, 12, 90, 19, 317, 105, 253, 80, 71, 7, 5, 0], [1, 0, 12, 90, 20, 310, 126, 218, 115, 50, 14, 4, 0], [1, 0, 12, 90, 21, 303, 147, 183, 150, 29, 21, 3, 0], [1, 0, 12, 90, 22, 296, 168, 148, 185, 8, 28, 2, 0], [1, 0, 12, 91, 10, 351, 35, 337, 24, 85, 13, 0, 1], [1, 0, 12, 91, 12, 338, 70, 288, 59, 78, 6, 5, 0], [1, 0, 12, 91, 13, 331, 91, 253, 94, 57, 13, 4, 0], [1, 0, 12, 91, 14, 324, 112, 218, 129, 36, 20, 3, 0], [1, 0, 12, 91, 15, 317, 133, 183, 164, 15, 27, 2, 0], [1, 0, 12, 92, 3, 372, 0, 372, 3, 92, 12, 0, 1], [1, 0, 12, 92, 5, 359, 35, 323, 38, 85, 5, 5, 0], [1, 0, 12, 92, 6, 352, 56, 288, 73, 64, 12, 4, 0], [1, 0, 12, 92, 7, 345, 77, 253, 108, 43, 19, 3, 0], [1, 0, 12, 92, 8, 338, 98, 218, 143, 22, 26, 2, 0], [1, 0, 12, 92, 9, 331, 119, 183, 178, 1, 33, 1, 0], [1, 0, 12, 93, 0, 366, 42, 288, 87, 50, 18, 3, 0], [1, 0, 12, 93, 1, 359, 63, 253, 122, 29, 25, 2, 0], [1, 0, 12, 93, 2, 352, 84, 218, 157, 8, 32, 1, 0], [1, 0, 13, 69, 129, 49, 455, 15, 136, 91, 0, 0, 2], [1, 0, 13, 72, 112, 85, 427, 1, 178, 63, 4, 3, 1], [1, 0, 13, 73, 105, 106, 392, 36, 157, 70, 3, 3, 1], [1, 0, 13, 73, 106, 99, 413, 1, 192, 49, 10, 2, 1], [1, 0, 13, 74, 98, 127, 357, 71, 136, 77, 2, 3, 1], [1, 0, 13, 74, 99, 120, 378, 36, 171, 56, 9, 2, 1], [1, 0, 13, 74, 100, 113, 399, 1, 206, 35, 16, 1, 1], [1, 0, 13, 75, 91, 148, 322, 106, 115, 84, 1, 3, 1], [1, 0, 13, 75, 92, 141, 343, 71, 150, 63, 8, 2, 1], [1, 0, 13, 75, 93, 134, 364, 36, 185, 42, 15, 1, 1], [1, 0, 13, 75, 94, 127, 385, 1, 220, 21, 22, 0, 1], [1, 0, 13, 75, 94, 128, 378, 22, 185, 56, 1, 7, 0], [1, 0, 13, 76, 84, 169, 287, 141, 94, 91, 0, 3, 1], [1, 0, 13, 76, 85, 162, 308, 106, 129, 70, 7, 2, 1], [1, 0, 13, 76, 86, 155, 329, 71, 164, 49, 14, 1, 1], [1, 0, 13, 76, 87, 148, 350, 36, 199, 28, 21, 0, 1], [1, 0, 13, 76, 87, 149, 343, 57, 164, 63, 0, 7, 0], [1, 0, 13, 76, 88, 142, 364, 22, 199, 42, 7, 6, 0], [1, 0, 13, 77, 78, 183, 273, 141, 108, 77, 6, 2, 1], [1, 0, 13, 77, 79, 176, 294, 106, 143, 56, 13, 1, 1], [1, 0, 13, 77, 80, 169, 315, 71, 178, 35, 20, 0, 1], [1, 0, 13, 77, 81, 163, 329, 57, 178, 49, 6, 6, 0], [1, 0, 13, 77, 82, 156, 350, 22, 213, 28, 13, 5, 0], [1, 0, 13, 78, 71, 204, 238, 176, 87, 84, 5, 2, 1], [1, 0, 13, 78, 72, 197, 259, 141, 122, 63, 12, 1, 1], [1, 0, 13, 78, 73, 190, 280, 106, 157, 42, 19, 0, 1], [1, 0, 13, 78, 74, 184, 294, 92, 157, 56, 5, 6, 0], [1, 0, 13, 78, 75, 177, 315, 57, 192, 35, 12, 5, 0], [1, 0, 13, 78, 76, 170, 336, 22, 227, 14, 19, 4, 0], [1, 0, 13, 79, 64, 225, 203, 211, 66, 91, 4, 2, 1], [1, 0, 13, 79, 65, 218, 224, 176, 101, 70, 11, 1, 1], [1, 0, 13, 79, 66, 211, 245, 141, 136, 49, 18, 0, 1], [1, 0, 13, 79, 67, 205, 259, 127, 136, 63, 4, 6, 0], [1, 0, 13, 79, 68, 198, 280, 92, 171, 42, 11, 5, 0], [1, 0, 13, 79, 69, 191, 301, 57, 206, 21, 18, 4, 0], [1, 0, 13, 79, 70, 184, 322, 22, 241, 0, 25, 3, 0], [1, 0, 13, 80, 57, 246, 168, 246, 45, 98, 3, 2, 1], [1, 0, 13, 80, 58, 239, 189, 211, 80, 77, 10, 1, 1], [1, 0, 13, 80, 59, 232, 210, 176, 115, 56, 17, 0, 1], [1, 0, 13, 80, 60, 226, 224, 162, 115, 70, 3, 6, 0], [1, 0, 13, 80, 61, 219, 245, 127, 150, 49, 10, 5, 0], [1, 0, 13, 80, 62, 212, 266, 92, 185, 28, 17, 4, 0], [1, 0, 13, 80, 63, 205, 287, 57, 220, 7, 24, 3, 0], [1, 0, 13, 81, 50, 267, 133, 281, 24, 105, 2, 2, 1], [1, 0, 13, 81, 51, 260, 154, 246, 59, 84, 9, 1, 1], [1, 0, 13, 81, 52, 253, 175, 211, 94, 63, 16, 0, 1], [1, 0, 13, 81, 53, 247, 189, 197, 94, 77, 2, 6, 0], [1, 0, 13, 81, 54, 240, 210, 162, 129, 56, 9, 5, 0], [1, 0, 13, 81, 55, 233, 231, 127, 164, 35, 16, 4, 0], [1, 0, 13, 81, 56, 226, 252, 92, 199, 14, 23, 3, 0], [1, 0, 13, 82, 43, 288, 98, 316, 3, 112, 1, 2, 1], [1, 0, 13, 82, 44, 281, 119, 281, 38, 91, 8, 1, 1], [1, 0, 13, 82, 45, 274, 140, 246, 73, 70, 15, 0, 1], [1, 0, 13, 82, 46, 268, 154, 232, 73, 84, 1, 6, 0], [1, 0, 13, 82, 47, 261, 175, 197, 108, 63, 8, 5, 0], [1, 0, 13, 82, 48, 254, 196, 162, 143, 42, 15, 4, 0], [1, 0, 13, 82, 49, 247, 217, 127, 178, 21, 22, 3, 0], [1, 0, 13, 82, 50, 240, 238, 92, 213, 0, 29, 2, 0], [1, 0, 13, 83, 37, 302, 84, 316, 17, 98, 7, 1, 1], [1, 0, 13, 83, 38, 295, 105, 281, 52, 77, 14, 0, 1], [1, 0, 13, 83, 39, 289, 119, 267, 52, 91, 0, 6, 0], [1, 0, 13, 83, 40, 282, 140, 232, 87, 70, 7, 5, 0], [1, 0, 13, 83, 41, 275, 161, 197, 122, 49, 14, 4, 0], [1, 0, 13, 83, 42, 268, 182, 162, 157, 28, 21, 3, 0], [1, 0, 13, 83, 43, 261, 203, 127, 192, 7, 28, 2, 0], [1, 0, 13, 84, 31, 316, 70, 316, 31, 84, 13, 0, 1], [1, 0, 13, 84, 33, 303, 105, 267, 66, 77, 6, 5, 0], [1, 0, 13, 84, 34, 296, 126, 232, 101, 56, 13, 4, 0], [1, 0, 13, 84, 35, 289, 147, 197, 136, 35, 20, 3, 0], [1, 0, 13, 84, 36, 282, 168, 162, 171, 14, 27, 2, 0], [1, 0, 13, 85, 24, 337, 35, 351, 10, 91, 12, 0, 1], [1, 0, 13, 85, 26, 324, 70, 302, 45, 84, 5, 5, 0], [1, 0, 13, 85, 27, 317, 91, 267, 80, 63, 12, 4, 0], [1, 0, 13, 85, 28, 310, 112, 232, 115, 42, 19, 3, 0], [1, 0, 13, 85, 29, 303, 133, 197, 150, 21, 26, 2, 0], [1, 0, 13, 85, 30, 296, 154, 162, 185, 0, 33, 1, 0], [1, 0, 13, 86, 19, 345, 35, 337, 24, 91, 4, 5, 0], [1, 0, 13, 86, 20, 338, 56, 302, 59, 70, 11, 4, 0], [1, 0, 13, 86, 21, 331, 77, 267, 94, 49, 18, 3, 0], [1, 0, 13, 86, 22, 324, 98, 232, 129, 28, 25, 2, 0], [1, 0, 13, 86, 23, 317, 119, 197, 164, 7, 32, 1, 0], [1, 0, 13, 87, 12, 366, 0, 372, 3, 98, 3, 5, 0], [1, 0, 13, 87, 13, 359, 21, 337, 38, 77, 10, 4, 0], [1, 0, 13, 87, 14, 352, 42, 302, 73, 56, 17, 3, 0], [1, 0, 13, 87, 15, 345, 63, 267, 108, 35, 24, 2, 0], [1, 0, 13, 87, 16, 338, 84, 232, 143, 14, 31, 1, 0], [1, 0, 13, 88, 7, 373, 7, 337, 52, 63, 16, 3, 0], [1, 0, 13, 88, 8, 366, 28, 302, 87, 42, 23, 2, 0], [1, 0, 13, 88, 9, 359, 49, 267, 122, 21, 30, 1, 0], [1, 0, 13, 88, 10, 352, 70, 232, 157, 0, 37, 0, 0], [1, 0, 13, 89, 2, 380, 14, 302, 101, 28, 29, 1, 0], [1, 0, 13, 89, 3, 373, 35, 267, 136, 7, 36, 0, 0], [1, 0, 14, 66, 126, 71, 427, 15, 164, 69, 3, 3, 1], [1, 0, 14, 67, 119, 92, 392, 50, 143, 76, 2, 3, 1], [1, 0, 14, 67, 120, 85, 413, 15, 178, 55, 9, 2, 1], [1, 0, 14, 68, 112, 113, 357, 85, 122, 83, 1, 3, 1], [1, 0, 14, 68, 113, 106, 378, 50, 157, 62, 8, 2, 1], [1, 0, 14, 68, 114, 99, 399, 15, 192, 41, 15, 1, 1], [1, 0, 14, 68, 115, 93, 413, 1, 192, 55, 1, 7, 0], [1, 0, 14, 69, 105, 134, 322, 120, 101, 90, 0, 3, 1], [1, 0, 14, 69, 106, 127, 343, 85, 136, 69, 7, 2, 1], [1, 0, 14, 69, 107, 120, 364, 50, 171, 48, 14, 1, 1], [1, 0, 14, 69, 108, 113, 385, 15, 206, 27, 21, 0, 1], [1, 0, 14, 69, 108, 114, 378, 36, 171, 62, 0, 7, 0], [1, 0, 14, 69, 109, 107, 399, 1, 206, 41, 7, 6, 0], [1, 0, 14, 70, 99, 148, 308, 120, 115, 76, 6, 2, 1], [1, 0, 14, 70, 100, 141, 329, 85, 150, 55, 13, 1, 1], [1, 0, 14, 70, 101, 134, 350, 50, 185, 34, 20, 0, 1], [1, 0, 14, 70, 102, 128, 364, 36, 185, 48, 6, 6, 0], [1, 0, 14, 70, 103, 121, 385, 1, 220, 27, 13, 5, 0], [1, 0, 14, 71, 92, 169, 273, 155, 94, 83, 5, 2, 1], [1, 0, 14, 71, 93, 162, 294, 120, 129, 62, 12, 1, 1], [1, 0, 14, 71, 94, 155, 315, 85, 164, 41, 19, 0, 1], [1, 0, 14, 71, 95, 149, 329, 71, 164, 55, 5, 6, 0], [1, 0, 14, 71, 96, 142, 350, 36, 199, 34, 12, 5, 0], [1, 0, 14, 71, 97, 135, 371, 1, 234, 13, 19, 4, 0], [1, 0, 14, 72, 85, 190, 238, 190, 73, 90, 4, 2, 1], [1, 0, 14, 72, 86, 183, 259, 155, 108, 69, 11, 1, 1], [1, 0, 14, 72, 87, 176, 280, 120, 143, 48, 18, 0, 1], [1, 0, 14, 72, 88, 170, 294, 106, 143, 62, 4, 6, 0], [1, 0, 14, 72, 89, 163, 315, 71, 178, 41, 11, 5, 0], [1, 0, 14, 72, 90, 156, 336, 36, 213, 20, 18, 4, 0], [1, 0, 14, 73, 78, 211, 203, 225, 52, 97, 3, 2, 1], [1, 0, 14, 73, 79, 204, 224, 190, 87, 76, 10, 1, 1], [1, 0, 14, 73, 80, 197, 245, 155, 122, 55, 17, 0, 1], [1, 0, 14, 73, 81, 191, 259, 141, 122, 69, 3, 6, 0], [1, 0, 14, 73, 82, 184, 280, 106, 157, 48, 10, 5, 0], [1, 0, 14, 73, 83, 177, 301, 71, 192, 27, 17, 4, 0], [1, 0, 14, 73, 84, 170, 322, 36, 227, 6, 24, 3, 0], [1, 0, 14, 74, 71, 232, 168, 260, 31, 104, 2, 2, 1], [1, 0, 14, 74, 72, 225, 189, 225, 66, 83, 9, 1, 1], [1, 0, 14, 74, 73, 218, 210, 190, 101, 62, 16, 0, 1], [1, 0, 14, 74, 74, 212, 224, 176, 101, 76, 2, 6, 0], [1, 0, 14, 74, 75, 205, 245, 141, 136, 55, 9, 5, 0], [1, 0, 14, 74, 76, 198, 266, 106, 171, 34, 16, 4, 0], [1, 0, 14, 74, 77, 191, 287, 71, 206, 13, 23, 3, 0], [1, 0, 14, 75, 64, 253, 133, 295, 10, 111, 1, 2, 1], [1, 0, 14, 75, 65, 246, 154, 260, 45, 90, 8, 1, 1], [1, 0, 14, 75, 66, 239, 175, 225, 80, 69, 15, 0, 1], [1, 0, 14, 75, 67, 233, 189, 211, 80, 83, 1, 6, 0], [1, 0, 14, 75, 68, 226, 210, 176, 115, 62, 8, 5, 0], [1, 0, 14, 75, 69, 219, 231, 141, 150, 41, 15, 4, 0], [1, 0, 14, 75, 70, 212, 252, 106, 185, 20, 22, 3, 0], [1, 0, 14, 76, 58, 267, 119, 295, 24, 97, 7, 1, 1], [1, 0, 14, 76, 59, 260, 140, 260, 59, 76, 14, 0, 1], [1, 0, 14, 76, 60, 254, 154, 246, 59, 90, 0, 6, 0], [1, 0, 14, 76, 61, 247, 175, 211, 94, 69, 7, 5, 0], [1, 0, 14, 76, 62, 240, 196, 176, 129, 48, 14, 4, 0], [1, 0, 14, 76, 63, 233, 217, 141, 164, 27, 21, 3, 0], [1, 0, 14, 76, 64, 226, 238, 106, 199, 6, 28, 2, 0], [1, 0, 14, 77, 51, 288, 84, 330, 3, 104, 6, 1, 1], [1, 0, 14, 77, 52, 281, 105, 295, 38, 83, 13, 0, 1], [1, 0, 14, 77, 54, 268, 140, 246, 73, 76, 6, 5, 0], [1, 0, 14, 77, 55, 261, 161, 211, 108, 55, 13, 4, 0], [1, 0, 14, 77, 56, 254, 182, 176, 143, 34, 20, 3, 0], [1, 0, 14, 77, 57, 247, 203, 141, 178, 13, 27, 2, 0], [1, 0, 14, 78, 45, 302, 70, 330, 17, 90, 12, 0, 1], [1, 0, 14, 78, 47, 289, 105, 281, 52, 83, 5, 5, 0], [1, 0, 14, 78, 48, 282, 126, 246, 87, 62, 12, 4, 0], [1, 0, 14, 78, 49, 275, 147, 211, 122, 41, 19, 3, 0], [1, 0, 14, 78, 50, 268, 168, 176, 157, 20, 26, 2, 0], [1, 0, 14, 79, 40, 310, 70, 316, 31, 90, 4, 5, 0], [1, 0, 14, 79, 41, 303, 91, 281, 66, 69, 11, 4, 0], [1, 0, 14, 79, 42, 296, 112, 246, 101, 48, 18, 3, 0], [1, 0, 14, 79, 43, 289, 133, 211, 136, 27, 25, 2, 0], [1, 0, 14, 79, 44, 282, 154, 176, 171, 6, 32, 1, 0], [1, 0, 14, 80, 33, 331, 35, 351, 10, 97, 3, 5, 0], [1, 0, 14, 80, 34, 324, 56, 316, 45, 76, 10, 4, 0], [1, 0, 14, 80, 35, 317, 77, 281, 80, 55, 17, 3, 0], [1, 0, 14, 80, 36, 310, 98, 246, 115, 34, 24, 2, 0], [1, 0, 14, 80, 37, 303, 119, 211, 150, 13, 31, 1, 0], [1, 0, 14, 81, 27, 345, 21, 351, 24, 83, 9, 4, 0], [1, 0, 14, 81, 28, 338, 42, 316, 59, 62, 16, 3, 0], [1, 0, 14, 81, 29, 331, 63, 281, 94, 41, 23, 2, 0], [1, 0, 14, 81, 30, 324, 84, 246, 129, 20, 30, 1, 0], [1, 0, 14, 82, 21, 359, 7, 351, 38, 69, 15, 3, 0], [1, 0, 14, 82, 22, 352, 28, 316, 73, 48, 22, 2, 0], [1, 0, 14, 82, 23, 345, 49, 281, 108, 27, 29, 1, 0], [1, 0, 14, 82, 24, 338, 70, 246, 143, 6, 36, 0, 0], [1, 0, 14, 83, 16, 366, 14, 316, 87, 34, 28, 1, 0], [1, 0, 14, 83, 17, 359, 35, 281, 122, 13, 35, 0, 0], [1, 0, 14, 84, 10, 380, 0, 316, 101, 20, 34, 0, 0], [1, 0, 15, 60, 140, 57, 427, 29, 150, 75, 2, 3, 1], [1, 0, 15, 61, 133, 78, 392, 64, 129, 82, 1, 3, 1], [1, 0, 15, 61, 134, 71, 413, 29, 164, 61, 8, 2, 1], [1, 0, 15, 62, 126, 99, 357, 99, 108, 89, 0, 3, 1], [1, 0, 15, 62, 127, 92, 378, 64, 143, 68, 7, 2, 1], [1, 0, 15, 62, 128, 85, 399, 29, 178, 47, 14, 1, 1], [1, 0, 15, 62, 129, 79, 413, 15, 178, 61, 0, 7, 0], [1, 0, 15, 63, 120, 113, 343, 99, 122, 75, 6, 2, 1], [1, 0, 15, 63, 121, 106, 364, 64, 157, 54, 13, 1, 1], [1, 0, 15, 63, 122, 99, 385, 29, 192, 33, 20, 0, 1], [1, 0, 15, 63, 123, 93, 399, 15, 192, 47, 6, 6, 0], [1, 0, 15, 64, 113, 134, 308, 134, 101, 82, 5, 2, 1], [1, 0, 15, 64, 114, 127, 329, 99, 136, 61, 12, 1, 1], [1, 0, 15, 64, 115, 120, 350, 64, 171, 40, 19, 0, 1], [1, 0, 15, 64, 116, 114, 364, 50, 171, 54, 5, 6, 0], [1, 0, 15, 64, 117, 107, 385, 15, 206, 33, 12, 5, 0], [1, 0, 15, 65, 106, 155, 273, 169, 80, 89, 4, 2, 1], [1, 0, 15, 65, 107, 148, 294, 134, 115, 68, 11, 1, 1], [1, 0, 15, 65, 108, 141, 315, 99, 150, 47, 18, 0, 1], [1, 0, 15, 65, 109, 135, 329, 85, 150, 61, 4, 6, 0], [1, 0, 15, 65, 110, 128, 350, 50, 185, 40, 11, 5, 0], [1, 0, 15, 65, 111, 121, 371, 15, 220, 19, 18, 4, 0], [1, 0, 15, 66, 99, 176, 238, 204, 59, 96, 3, 2, 1], [1, 0, 15, 66, 100, 169, 259, 169, 94, 75, 10, 1, 1], [1, 0, 15, 66, 101, 162, 280, 134, 129, 54, 17, 0, 1], [1, 0, 15, 66, 102, 156, 294, 120, 129, 68, 3, 6, 0], [1, 0, 15, 66, 103, 149, 315, 85, 164, 47, 10, 5, 0], [1, 0, 15, 66, 104, 142, 336, 50, 199, 26, 17, 4, 0], [1, 0, 15, 66, 105, 135, 357, 15, 234, 5, 24, 3, 0], [1, 0, 15, 67, 92, 197, 203, 239, 38, 103, 2, 2, 1], [1, 0, 15, 67, 93, 190, 224, 204, 73, 82, 9, 1, 1], [1, 0, 15, 67, 94, 183, 245, 169, 108, 61, 16, 0, 1], [1, 0, 15, 67, 95, 177, 259, 155, 108, 75, 2, 6, 0], [1, 0, 15, 67, 96, 170, 280, 120, 143, 54, 9, 5, 0], [1, 0, 15, 67, 97, 163, 301, 85, 178, 33, 16, 4, 0], [1, 0, 15, 67, 98, 156, 322, 50, 213, 12, 23, 3, 0], [1, 0, 15, 68, 85, 218, 168, 274, 17, 110, 1, 2, 1], [1, 0, 15, 68, 86, 211, 189, 239, 52, 89, 8, 1, 1], [1, 0, 15, 68, 87, 204, 210, 204, 87, 68, 15, 0, 1], [1, 0, 15, 68, 88, 198, 224, 190, 87, 82, 1, 6, 0], [1, 0, 15, 68, 89, 191, 245, 155, 122, 61, 8, 5, 0], [1, 0, 15, 68, 90, 184, 266, 120, 157, 40, 15, 4, 0], [1, 0, 15, 68, 91, 177, 287, 85, 192, 19, 22, 3, 0], [1, 0, 15, 69, 79, 232, 154, 274, 31, 96, 7, 1, 1], [1, 0, 15, 69, 80, 225, 175, 239, 66, 75, 14, 0, 1], [1, 0, 15, 69, 81, 219, 189, 225, 66, 89, 0, 6, 0], [1, 0, 15, 69, 82, 212, 210, 190, 101, 68, 7, 5, 0], [1, 0, 15, 69, 83, 205, 231, 155, 136, 47, 14, 4, 0], [1, 0, 15, 69, 84, 198, 252, 120, 171, 26, 21, 3, 0], [1, 0, 15, 69, 85, 191, 273, 85, 206, 5, 28, 2, 0], [1, 0, 15, 70, 72, 253, 119, 309, 10, 103, 6, 1, 1], [1, 0, 15, 70, 73, 246, 140, 274, 45, 82, 13, 0, 1], [1, 0, 15, 70, 75, 233, 175, 225, 80, 75, 6, 5, 0], [1, 0, 15, 70, 76, 226, 196, 190, 115, 54, 13, 4, 0], [1, 0, 15, 70, 77, 219, 217, 155, 150, 33, 20, 3, 0], [1, 0, 15, 70, 78, 212, 238, 120, 185, 12, 27, 2, 0], [1, 0, 15, 71, 66, 267, 105, 309, 24, 89, 12, 0, 1], [1, 0, 15, 71, 68, 254, 140, 260, 59, 82, 5, 5, 0], [1, 0, 15, 71, 69, 247, 161, 225, 94, 61, 12, 4, 0], [1, 0, 15, 71, 70, 240, 182, 190, 129, 40, 19, 3, 0], [1, 0, 15, 71, 71, 233, 203, 155, 164, 19, 26, 2, 0], [1, 0, 15, 72, 59, 288, 70, 344, 3, 96, 11, 0, 1], [1, 0, 15, 72, 61, 275, 105, 295, 38, 89, 4, 5, 0], [1, 0, 15, 72, 62, 268, 126, 260, 73, 68, 11, 4, 0], [1, 0, 15, 72, 63, 261, 147, 225, 108, 47, 18, 3, 0], [1, 0, 15, 72, 64, 254, 168, 190, 143, 26, 25, 2, 0], [1, 0, 15, 72, 65, 247, 189, 155, 178, 5, 32, 1, 0], [1, 0, 15, 73, 54, 296, 70, 330, 17, 96, 3, 5, 0], [1, 0, 15, 73, 55, 289, 91, 295, 52, 75, 10, 4, 0], [1, 0, 15, 73, 56, 282, 112, 260, 87, 54, 17, 3, 0], [1, 0, 15, 73, 57, 275, 133, 225, 122, 33, 24, 2, 0], [1, 0, 15, 73, 58, 268, 154, 190, 157, 12, 31, 1, 0], [1, 0, 15, 74, 48, 310, 56, 330, 31, 82, 9, 4, 0], [1, 0, 15, 74, 49, 303, 77, 295, 66, 61, 16, 3, 0], [1, 0, 15, 74, 50, 296, 98, 260, 101, 40, 23, 2, 0], [1, 0, 15, 74, 51, 289, 119, 225, 136, 19, 30, 1, 0], [1, 0, 15, 75, 41, 331, 21, 365, 10, 89, 8, 4, 0], [1, 0, 15, 75, 42, 324, 42, 330, 45, 68, 15, 3, 0], [1, 0, 15, 75, 43, 317, 63, 295, 80, 47, 22, 2, 0], [1, 0, 15, 75, 44, 310, 84, 260, 115, 26, 29, 1, 0], [1, 0, 15, 75, 45, 303, 105, 225, 150, 5, 36, 0, 0], [1, 0, 15, 76, 35, 345, 7, 365, 24, 75, 14, 3, 0], [1, 0, 15, 76, 36, 338, 28, 330, 59, 54, 21, 2, 0], [1, 0, 15, 76, 37, 331, 49, 295, 94, 33, 28, 1, 0], [1, 0, 15, 76, 38, 324, 70, 260, 129, 12, 35, 0, 0], [1, 0, 15, 77, 30, 352, 14, 330, 73, 40, 27, 1, 0], [1, 0, 15, 77, 31, 345, 35, 295, 108, 19, 34, 0, 0], [1, 0, 15, 78, 24, 366, 0, 330, 87, 26, 33, 0, 0], [1, 0, 16, 53, 161, 22, 462, 8, 157, 74, 2, 3, 1], [1, 0, 16, 54, 154, 43, 427, 43, 136, 81, 1, 3, 1], [1, 0, 16, 54, 155, 36, 448, 8, 171, 60, 8, 2, 1], [1, 0, 16, 55, 147, 64, 392, 78, 115, 88, 0, 3, 1], [1, 0, 16, 55, 148, 57, 413, 43, 150, 67, 7, 2, 1], [1, 0, 16, 55, 149, 50, 434, 8, 185, 46, 14, 1, 1], [1, 0, 16, 56, 141, 78, 378, 78, 129, 74, 6, 2, 1], [1, 0, 16, 56, 142, 71, 399, 43, 164, 53, 13, 1, 1], [1, 0, 16, 56, 143, 64, 420, 8, 199, 32, 20, 0, 1], [1, 0, 16, 57, 134, 99, 343, 113, 108, 81, 5, 2, 1], [1, 0, 16, 57, 135, 92, 364, 78, 143, 60, 12, 1, 1], [1, 0, 16, 57, 136, 85, 385, 43, 178, 39, 19, 0, 1], [1, 0, 16, 57, 137, 79, 399, 29, 178, 53, 5, 6, 0], [1, 0, 16, 58, 127, 120, 308, 148, 87, 88, 4, 2, 1], [1, 0, 16, 58, 128, 113, 329, 113, 122, 67, 11, 1, 1], [1, 0, 16, 58, 129, 106, 350, 78, 157, 46, 18, 0, 1], [1, 0, 16, 58, 130, 100, 364, 64, 157, 60, 4, 6, 0], [1, 0, 16, 58, 131, 93, 385, 29, 192, 39, 11, 5, 0], [1, 0, 16, 59, 120, 141, 273, 183, 66, 95, 3, 2, 1], [1, 0, 16, 59, 121, 134, 294, 148, 101, 74, 10, 1, 1], [1, 0, 16, 59, 122, 127, 315, 113, 136, 53, 17, 0, 1], [1, 0, 16, 59, 123, 121, 329, 99, 136, 67, 3, 6, 0], [1, 0, 16, 59, 124, 114, 350, 64, 171, 46, 10, 5, 0], [1, 0, 16, 59, 125, 107, 371, 29, 206, 25, 17, 4, 0], [1, 0, 16, 60, 113, 162, 238, 218, 45, 102, 2, 2, 1], [1, 0, 16, 60, 114, 155, 259, 183, 80, 81, 9, 1, 1], [1, 0, 16, 60, 115, 148, 280, 148, 115, 60, 16, 0, 1], [1, 0, 16, 60, 116, 142, 294, 134, 115, 74, 2, 6, 0], [1, 0, 16, 60, 117, 135, 315, 99, 150, 53, 9, 5, 0], [1, 0, 16, 60, 118, 128, 336, 64, 185, 32, 16, 4, 0], [1, 0, 16, 60, 119, 121, 357, 29, 220, 11, 23, 3, 0], [1, 0, 16, 61, 106, 183, 203, 253, 24, 109, 1, 2, 1], [1, 0, 16, 61, 107, 176, 224, 218, 59, 88, 8, 1, 1], [1, 0, 16, 61, 108, 169, 245, 183, 94, 67, 15, 0, 1], [1, 0, 16, 61, 109, 163, 259, 169, 94, 81, 1, 6, 0], [1, 0, 16, 61, 110, 156, 280, 134, 129, 60, 8, 5, 0], [1, 0, 16, 61, 111, 149, 301, 99, 164, 39, 15, 4, 0], [1, 0, 16, 61, 112, 142, 322, 64, 199, 18, 22, 3, 0], [1, 0, 16, 62, 99, 204, 168, 288, 3, 116, 0, 2, 1], [1, 0, 16, 62, 100, 197, 189, 253, 38, 95, 7, 1, 1], [1, 0, 16, 62, 101, 190, 210, 218, 73, 74, 14, 0, 1], [1, 0, 16, 62, 102, 184, 224, 204, 73, 88, 0, 6, 0], [1, 0, 16, 62, 103, 177, 245, 169, 108, 67, 7, 5, 0], [1, 0, 16, 62, 104, 170, 266, 134, 143, 46, 14, 4, 0], [1, 0, 16, 62, 105, 163, 287, 99, 178, 25, 21, 3, 0], [1, 0, 16, 62, 106, 156, 308, 64, 213, 4, 28, 2, 0], [1, 0, 16, 63, 93, 218, 154, 288, 17, 102, 6, 1, 1], [1, 0, 16, 63, 94, 211, 175, 253, 52, 81, 13, 0, 1], [1, 0, 16, 63, 96, 198, 210, 204, 87, 74, 6, 5, 0], [1, 0, 16, 63, 97, 191, 231, 169, 122, 53, 13, 4, 0], [1, 0, 16, 63, 98, 184, 252, 134, 157, 32, 20, 3, 0], [1, 0, 16, 63, 99, 177, 273, 99, 192, 11, 27, 2, 0], [1, 0, 16, 64, 87, 232, 140, 288, 31, 88, 12, 0, 1], [1, 0, 16, 64, 89, 219, 175, 239, 66, 81, 5, 5, 0], [1, 0, 16, 64, 90, 212, 196, 204, 101, 60, 12, 4, 0], [1, 0, 16, 64, 91, 205, 217, 169, 136, 39, 19, 3, 0], [1, 0, 16, 64, 92, 198, 238, 134, 171, 18, 26, 2, 0], [1, 0, 16, 65, 80, 253, 105, 323, 10, 95, 11, 0, 1], [1, 0, 16, 65, 82, 240, 140, 274, 45, 88, 4, 5, 0], [1, 0, 16, 65, 83, 233, 161, 239, 80, 67, 11, 4, 0], [1, 0, 16, 65, 84, 226, 182, 204, 115, 46, 18, 3, 0], [1, 0, 16, 65, 85, 219, 203, 169, 150, 25, 25, 2, 0], [1, 0, 16, 65, 86, 212, 224, 134, 185, 4, 32, 1, 0], [1, 0, 16, 66, 75, 261, 105, 309, 24, 95, 3, 5, 0], [1, 0, 16, 66, 76, 254, 126, 274, 59, 74, 10, 4, 0], [1, 0, 16, 66, 77, 247, 147, 239, 94, 53, 17, 3, 0], [1, 0, 16, 66, 78, 240, 168, 204, 129, 32, 24, 2, 0], [1, 0, 16, 66, 79, 233, 189, 169, 164, 11, 31, 1, 0], [1, 0, 16, 67, 68, 282, 70, 344, 3, 102, 2, 5, 0], [1, 0, 16, 67, 69, 275, 91, 309, 38, 81, 9, 4, 0], [1, 0, 16, 67, 70, 268, 112, 274, 73, 60, 16, 3, 0], [1, 0, 16, 67, 71, 261, 133, 239, 108, 39, 23, 2, 0], [1, 0, 16, 67, 72, 254, 154, 204, 143, 18, 30, 1, 0], [1, 0, 16, 68, 62, 296, 56, 344, 17, 88, 8, 4, 0], [1, 0, 16, 68, 63, 289, 77, 309, 52, 67, 15, 3, 0], [1, 0, 16, 68, 64, 282, 98, 274, 87, 46, 22, 2, 0], [1, 0, 16, 68, 65, 275, 119, 239, 122, 25, 29, 1, 0], [1, 0, 16, 68, 66, 268, 140, 204, 157, 4, 36, 0, 0], [1, 0, 16, 69, 56, 310, 42, 344, 31, 74, 14, 3, 0], [1, 0, 16, 69, 57, 303, 63, 309, 66, 53, 21, 2, 0], [1, 0, 16, 69, 58, 296, 84, 274, 101, 32, 28, 1, 0], [1, 0, 16, 69, 59, 289, 105, 239, 136, 11, 35, 0, 0], [1, 0, 16, 70, 49, 331, 7, 379, 10, 81, 13, 3, 0], [1, 0, 16, 70, 50, 324, 28, 344, 45, 60, 20, 2, 0], [1, 0, 16, 70, 51, 317, 49, 309, 80, 39, 27, 1, 0], [1, 0, 16, 70, 52, 310, 70, 274, 115, 18, 34, 0, 0], [1, 0, 16, 71, 44, 338, 14, 344, 59, 46, 26, 1, 0], [1, 0, 16, 71, 45, 331, 35, 309, 94, 25, 33, 0, 0], [1, 0, 16, 72, 38, 352, 0, 344, 73, 32, 32, 0, 0], [1, 0, 17, 47, 175, 8, 462, 22, 143, 80, 1, 3, 1], [1, 0, 17, 48, 168, 29, 427, 57, 122, 87, 0, 3, 1], [1, 0, 17, 48, 169, 22, 448, 22, 157, 66, 7, 2, 1], [1, 0, 17, 49, 162, 43, 413, 57, 136, 73, 6, 2, 1], [1, 0, 17, 49, 163, 36, 434, 22, 171, 52, 13, 1, 1], [1, 0, 17, 50, 155, 64, 378, 92, 115, 80, 5, 2, 1], [1, 0, 17, 50, 156, 57, 399, 57, 150, 59, 12, 1, 1], [1, 0, 17, 50, 157, 50, 420, 22, 185, 38, 19, 0, 1], [1, 0, 17, 50, 158, 44, 434, 8, 185, 52, 5, 6, 0], [1, 0, 17, 51, 148, 85, 343, 127, 94, 87, 4, 2, 1], [1, 0, 17, 51, 149, 78, 364, 92, 129, 66, 11, 1, 1], [1, 0, 17, 51, 150, 71, 385, 57, 164, 45, 18, 0, 1], [1, 0, 17, 51, 151, 65, 399, 43, 164, 59, 4, 6, 0], [1, 0, 17, 51, 152, 58, 420, 8, 199, 38, 11, 5, 0], [1, 0, 17, 52, 141, 106, 308, 162, 73, 94, 3, 2, 1], [1, 0, 17, 52, 142, 99, 329, 127, 108, 73, 10, 1, 1], [1, 0, 17, 52, 143, 92, 350, 92, 143, 52, 17, 0, 1], [1, 0, 17, 52, 144, 86, 364, 78, 143, 66, 3, 6, 0], [1, 0, 17, 52, 145, 79, 385, 43, 178, 45, 10, 5, 0], [1, 0, 17, 52, 146, 72, 406, 8, 213, 24, 17, 4, 0], [1, 0, 17, 53, 134, 127, 273, 197, 52, 101, 2, 2, 1], [1, 0, 17, 53, 135, 120, 294, 162, 87, 80, 9, 1, 1], [1, 0, 17, 53, 136, 113, 315, 127, 122, 59, 16, 0, 1], [1, 0, 17, 53, 137, 107, 329, 113, 122, 73, 2, 6, 0], [1, 0, 17, 53, 138, 100, 350, 78, 157, 52, 9, 5, 0], [1, 0, 17, 53, 139, 93, 371, 43, 192, 31, 16, 4, 0], [1, 0, 17, 53, 140, 86, 392, 8, 227, 10, 23, 3, 0], [1, 0, 17, 54, 127, 148, 238, 232, 31, 108, 1, 2, 1], [1, 0, 17, 54, 128, 141, 259, 197, 66, 87, 8, 1, 1], [1, 0, 17, 54, 129, 134, 280, 162, 101, 66, 15, 0, 1], [1, 0, 17, 54, 130, 128, 294, 148, 101, 80, 1, 6, 0], [1, 0, 17, 54, 131, 121, 315, 113, 136, 59, 8, 5, 0], [1, 0, 17, 54, 132, 114, 336, 78, 171, 38, 15, 4, 0], [1, 0, 17, 54, 133, 107, 357, 43, 206, 17, 22, 3, 0], [1, 0, 17, 55, 120, 169, 203, 267, 10, 115, 0, 2, 1], [1, 0, 17, 55, 121, 162, 224, 232, 45, 94, 7, 1, 1], [1, 0, 17, 55, 122, 155, 245, 197, 80, 73, 14, 0, 1], [1, 0, 17, 55, 123, 149, 259, 183, 80, 87, 0, 6, 0], [1, 0, 17, 55, 124, 142, 280, 148, 115, 66, 7, 5, 0], [1, 0, 17, 55, 125, 135, 301, 113, 150, 45, 14, 4, 0], [1, 0, 17, 55, 126, 128, 322, 78, 185, 24, 21, 3, 0], [1, 0, 17, 55, 127, 121, 343, 43, 220, 3, 28, 2, 0], [1, 0, 17, 56, 114, 183, 189, 267, 24, 101, 6, 1, 1], [1, 0, 17, 56, 115, 176, 210, 232, 59, 80, 13, 0, 1], [1, 0, 17, 56, 117, 163, 245, 183, 94, 73, 6, 5, 0], [1, 0, 17, 56, 118, 156, 266, 148, 129, 52, 13, 4, 0], [1, 0, 17, 56, 119, 149, 287, 113, 164, 31, 20, 3, 0], [1, 0, 17, 56, 120, 142, 308, 78, 199, 10, 27, 2, 0], [1, 0, 17, 57, 107, 204, 154, 302, 3, 108, 5, 1, 1], [1, 0, 17, 57, 108, 197, 175, 267, 38, 87, 12, 0, 1], [1, 0, 17, 57, 110, 184, 210, 218, 73, 80, 5, 5, 0], [1, 0, 17, 57, 111, 177, 231, 183, 108, 59, 12, 4, 0], [1, 0, 17, 57, 112, 170, 252, 148, 143, 38, 19, 3, 0], [1, 0, 17, 57, 113, 163, 273, 113, 178, 17, 26, 2, 0], [1, 0, 17, 58, 101, 218, 140, 302, 17, 94, 11, 0, 1], [1, 0, 17, 58, 103, 205, 175, 253, 52, 87, 4, 5, 0], [1, 0, 17, 58, 104, 198, 196, 218, 87, 66, 11, 4, 0], [1, 0, 17, 58, 105, 191, 217, 183, 122, 45, 18, 3, 0], [1, 0, 17, 58, 106, 184, 238, 148, 157, 24, 25, 2, 0], [1, 0, 17, 58, 107, 177, 259, 113, 192, 3, 32, 1, 0], [1, 0, 17, 59, 96, 226, 140, 288, 31, 94, 3, 5, 0], [1, 0, 17, 59, 97, 219, 161, 253, 66, 73, 10, 4, 0], [1, 0, 17, 59, 98, 212, 182, 218, 101, 52, 17, 3, 0], [1, 0, 17, 59, 99, 205, 203, 183, 136, 31, 24, 2, 0], [1, 0, 17, 59, 100, 198, 224, 148, 171, 10, 31, 1, 0], [1, 0, 17, 60, 89, 247, 105, 323, 10, 101, 2, 5, 0], [1, 0, 17, 60, 90, 240, 126, 288, 45, 80, 9, 4, 0], [1, 0, 17, 60, 91, 233, 147, 253, 80, 59, 16, 3, 0], [1, 0, 17, 60, 92, 226, 168, 218, 115, 38, 23, 2, 0], [1, 0, 17, 60, 93, 219, 189, 183, 150, 17, 30, 1, 0], [1, 0, 17, 61, 83, 261, 91, 323, 24, 87, 8, 4, 0], [1, 0, 17, 61, 84, 254, 112, 288, 59, 66, 15, 3, 0], [1, 0, 17, 61, 85, 247, 133, 253, 94, 45, 22, 2, 0], [1, 0, 17, 61, 86, 240, 154, 218, 129, 24, 29, 1, 0], [1, 0, 17, 61, 87, 233, 175, 183, 164, 3, 36, 0, 0], [1, 0, 17, 62, 76, 282, 56, 358, 3, 94, 7, 4, 0], [1, 0, 17, 62, 77, 275, 77, 323, 38, 73, 14, 3, 0], [1, 0, 17, 62, 78, 268, 98, 288, 73, 52, 21, 2, 0], [1, 0, 17, 62, 79, 261, 119, 253, 108, 31, 28, 1, 0], [1, 0, 17, 62, 80, 254, 140, 218, 143, 10, 35, 0, 0], [1, 0, 17, 63, 70, 296, 42, 358, 17, 80, 13, 3, 0], [1, 0, 17, 63, 71, 289, 63, 323, 52, 59, 20, 2, 0], [1, 0, 17, 63, 72, 282, 84, 288, 87, 38, 27, 1, 0], [1, 0, 17, 63, 73, 275, 105, 253, 122, 17, 34, 0, 0], [1, 0, 17, 64, 64, 310, 28, 358, 31, 66, 19, 2, 0], [1, 0, 17, 64, 65, 303, 49, 323, 66, 45, 26, 1, 0], [1, 0, 17, 64, 66, 296, 70, 288, 101, 24, 33, 0, 0], [1, 0, 17, 65, 58, 324, 14, 358, 45, 52, 25, 1, 0], [1, 0, 17, 65, 59, 317, 35, 323, 80, 31, 32, 0, 0], [1, 0, 17, 66, 52, 338, 0, 358, 59, 38, 31, 0, 0], [1, 0, 18, 42, 183, 8, 448, 36, 143, 72, 6, 2, 1], [1, 0, 18, 42, 184, 1, 469, 1, 178, 51, 13, 1, 1], [1, 0, 18, 43, 176, 29, 413, 71, 122, 79, 5, 2, 1], [1, 0, 18, 43, 177, 22, 434, 36, 157, 58, 12, 1, 1], [1, 0, 18, 43, 178, 15, 455, 1, 192, 37, 19, 0, 1], [1, 0, 18, 44, 169, 50, 378, 106, 101, 86, 4, 2, 1], [1, 0, 18, 44, 170, 43, 399, 71, 136, 65, 11, 1, 1], [1, 0, 18, 44, 171, 36, 420, 36, 171, 44, 18, 0, 1], [1, 0, 18, 44, 172, 30, 434, 22, 171, 58, 4, 6, 0], [1, 0, 18, 45, 162, 71, 343, 141, 80, 93, 3, 2, 1], [1, 0, 18, 45, 163, 64, 364, 106, 115, 72, 10, 1, 1], [1, 0, 18, 45, 164, 57, 385, 71, 150, 51, 17, 0, 1], [1, 0, 18, 45, 165, 51, 399, 57, 150, 65, 3, 6, 0], [1, 0, 18, 45, 166, 44, 420, 22, 185, 44, 10, 5, 0], [1, 0, 18, 46, 155, 92, 308, 176, 59, 100, 2, 2, 1], [1, 0, 18, 46, 156, 85, 329, 141, 94, 79, 9, 1, 1], [1, 0, 18, 46, 157, 78, 350, 106, 129, 58, 16, 0, 1], [1, 0, 18, 46, 158, 72, 364, 92, 129, 72, 2, 6, 0], [1, 0, 18, 46, 159, 65, 385, 57, 164, 51, 9, 5, 0], [1, 0, 18, 46, 160, 58, 406, 22, 199, 30, 16, 4, 0], [1, 0, 18, 47, 148, 113, 273, 211, 38, 107, 1, 2, 1], [1, 0, 18, 47, 149, 106, 294, 176, 73, 86, 8, 1, 1], [1, 0, 18, 47, 150, 99, 315, 141, 108, 65, 15, 0, 1], [1, 0, 18, 47, 151, 93, 329, 127, 108, 79, 1, 6, 0], [1, 0, 18, 47, 152, 86, 350, 92, 143, 58, 8, 5, 0], [1, 0, 18, 47, 153, 79, 371, 57, 178, 37, 15, 4, 0], [1, 0, 18, 47, 154, 72, 392, 22, 213, 16, 22, 3, 0], [1, 0, 18, 48, 141, 134, 238, 246, 17, 114, 0, 2, 1], [1, 0, 18, 48, 142, 127, 259, 211, 52, 93, 7, 1, 1], [1, 0, 18, 48, 143, 120, 280, 176, 87, 72, 14, 0, 1], [1, 0, 18, 48, 144, 114, 294, 162, 87, 86, 0, 6, 0], [1, 0, 18, 48, 145, 107, 315, 127, 122, 65, 7, 5, 0], [1, 0, 18, 48, 146, 100, 336, 92, 157, 44, 14, 4, 0], [1, 0, 18, 48, 147, 93, 357, 57, 192, 23, 21, 3, 0], [1, 0, 18, 48, 148, 86, 378, 22, 227, 2, 28, 2, 0], [1, 0, 18, 49, 135, 148, 224, 246, 31, 100, 6, 1, 1], [1, 0, 18, 49, 136, 141, 245, 211, 66, 79, 13, 0, 1], [1, 0, 18, 49, 138, 128, 280, 162, 101, 72, 6, 5, 0], [1, 0, 18, 49, 139, 121, 301, 127, 136, 51, 13, 4, 0], [1, 0, 18, 49, 140, 114, 322, 92, 171, 30, 20, 3, 0], [1, 0, 18, 49, 141, 107, 343, 57, 206, 9, 27, 2, 0], [1, 0, 18, 50, 128, 169, 189, 281, 10, 107, 5, 1, 1], [1, 0, 18, 50, 129, 162, 210, 246, 45, 86, 12, 0, 1], [1, 0, 18, 50, 131, 149, 245, 197, 80, 79, 5, 5, 0], [1, 0, 18, 50, 132, 142, 266, 162, 115, 58, 12, 4, 0], [1, 0, 18, 50, 133, 135, 287, 127, 150, 37, 19, 3, 0], [1, 0, 18, 50, 134, 128, 308, 92, 185, 16, 26, 2, 0], [1, 0, 18, 51, 122, 183, 175, 281, 24, 93, 11, 0, 1], [1, 0, 18, 51, 124, 170, 210, 232, 59, 86, 4, 5, 0], [1, 0, 18, 51, 125, 163, 231, 197, 94, 65, 11, 4, 0], [1, 0, 18, 51, 126, 156, 252, 162, 129, 44, 18, 3, 0], [1, 0, 18, 51, 127, 149, 273, 127, 164, 23, 25, 2, 0], [1, 0, 18, 51, 128, 142, 294, 92, 199, 2, 32, 1, 0], [1, 0, 18, 52, 115, 204, 140, 316, 3, 100, 10, 0, 1], [1, 0, 18, 52, 117, 191, 175, 267, 38, 93, 3, 5, 0], [1, 0, 18, 52, 118, 184, 196, 232, 73, 72, 10, 4, 0], [1, 0, 18, 52, 119, 177, 217, 197, 108, 51, 17, 3, 0], [1, 0, 18, 52, 120, 170, 238, 162, 143, 30, 24, 2, 0], [1, 0, 18, 52, 121, 163, 259, 127, 178, 9, 31, 1, 0], [1, 0, 18, 53, 110, 212, 140, 302, 17, 100, 2, 5, 0], [1, 0, 18, 53, 111, 205, 161, 267, 52, 79, 9, 4, 0], [1, 0, 18, 53, 112, 198, 182, 232, 87, 58, 16, 3, 0], [1, 0, 18, 53, 113, 191, 203, 197, 122, 37, 23, 2, 0], [1, 0, 18, 53, 114, 184, 224, 162, 157, 16, 30, 1, 0], [1, 0, 18, 54, 104, 226, 126, 302, 31, 86, 8, 4, 0], [1, 0, 18, 54, 105, 219, 147, 267, 66, 65, 15, 3, 0], [1, 0, 18, 54, 106, 212, 168, 232, 101, 44, 22, 2, 0], [1, 0, 18, 54, 107, 205, 189, 197, 136, 23, 29, 1, 0], [1, 0, 18, 54, 108, 198, 210, 162, 171, 2, 36, 0, 0], [1, 0, 18, 55, 97, 247, 91, 337, 10, 93, 7, 4, 0], [1, 0, 18, 55, 98, 240, 112, 302, 45, 72, 14, 3, 0], [1, 0, 18, 55, 99, 233, 133, 267, 80, 51, 21, 2, 0], [1, 0, 18, 55, 100, 226, 154, 232, 115, 30, 28, 1, 0], [1, 0, 18, 55, 101, 219, 175, 197, 150, 9, 35, 0, 0], [1, 0, 18, 56, 91, 261, 77, 337, 24, 79, 13, 3, 0], [1, 0, 18, 56, 92, 254, 98, 302, 59, 58, 20, 2, 0], [1, 0, 18, 56, 93, 247, 119, 267, 94, 37, 27, 1, 0], [1, 0, 18, 56, 94, 240, 140, 232, 129, 16, 34, 0, 0], [1, 0, 18, 57, 84, 282, 42, 372, 3, 86, 12, 3, 0], [1, 0, 18, 57, 85, 275, 63, 337, 38, 65, 19, 2, 0], [1, 0, 18, 57, 86, 268, 84, 302, 73, 44, 26, 1, 0], [1, 0, 18, 57, 87, 261, 105, 267, 108, 23, 33, 0, 0], [1, 0, 18, 58, 78, 296, 28, 372, 17, 72, 18, 2, 0], [1, 0, 18, 58, 79, 289, 49, 337, 52, 51, 25, 1, 0], [1, 0, 18, 58, 80, 282, 70, 302, 87, 30, 32, 0, 0], [1, 0, 18, 59, 72, 310, 14, 372, 31, 58, 24, 1, 0], [1, 0, 18, 59, 73, 303, 35, 337, 66, 37, 31, 0, 0], [1, 0, 18, 60, 66, 324, 0, 372, 45, 44, 30, 0, 0], [1, 0, 19, 37, 190, 15, 413, 85, 108, 85, 4, 2, 1], [1, 0, 19, 37, 191, 8, 434, 50, 143, 64, 11, 1, 1], [1, 0, 19, 37, 192, 1, 455, 15, 178, 43, 18, 0, 1], [1, 0, 19, 38, 183, 36, 378, 120, 87, 92, 3, 2, 1], [1, 0, 19, 38, 184, 29, 399, 85, 122, 71, 10, 1, 1], [1, 0, 19, 38, 185, 22, 420, 50, 157, 50, 17, 0, 1], [1, 0, 19, 38, 186, 16, 434, 36, 157, 64, 3, 6, 0], [1, 0, 19, 38, 187, 9, 455, 1, 192, 43, 10, 5, 0], [1, 0, 19, 39, 176, 57, 343, 155, 66, 99, 2, 2, 1], [1, 0, 19, 39, 177, 50, 364, 120, 101, 78, 9, 1, 1], [1, 0, 19, 39, 178, 43, 385, 85, 136, 57, 16, 0, 1], [1, 0, 19, 39, 179, 37, 399, 71, 136, 71, 2, 6, 0], [1, 0, 19, 39, 180, 30, 420, 36, 171, 50, 9, 5, 0], [1, 0, 19, 39, 181, 23, 441, 1, 206, 29, 16, 4, 0], [1, 0, 19, 40, 169, 78, 308, 190, 45, 106, 1, 2, 1], [1, 0, 19, 40, 170, 71, 329, 155, 80, 85, 8, 1, 1], [1, 0, 19, 40, 171, 64, 350, 120, 115, 64, 15, 0, 1], [1, 0, 19, 40, 172, 58, 364, 106, 115, 78, 1, 6, 0], [1, 0, 19, 40, 173, 51, 385, 71, 150, 57, 8, 5, 0], [1, 0, 19, 40, 174, 44, 406, 36, 185, 36, 15, 4, 0], [1, 0, 19, 40, 175, 37, 427, 1, 220, 15, 22, 3, 0], [1, 0, 19, 41, 162, 99, 273, 225, 24, 113, 0, 2, 1], [1, 0, 19, 41, 163, 92, 294, 190, 59, 92, 7, 1, 1], [1, 0, 19, 41, 164, 85, 315, 155, 94, 71, 14, 0, 1], [1, 0, 19, 41, 165, 79, 329, 141, 94, 85, 0, 6, 0], [1, 0, 19, 41, 166, 72, 350, 106, 129, 64, 7, 5, 0], [1, 0, 19, 41, 167, 65, 371, 71, 164, 43, 14, 4, 0], [1, 0, 19, 41, 168, 58, 392, 36, 199, 22, 21, 3, 0], [1, 0, 19, 41, 169, 51, 413, 1, 234, 1, 28, 2, 0], [1, 0, 19, 42, 156, 113, 259, 225, 38, 99, 6, 1, 1], [1, 0, 19, 42, 157, 106, 280, 190, 73, 78, 13, 0, 1], [1, 0, 19, 42, 159, 93, 315, 141, 108, 71, 6, 5, 0], [1, 0, 19, 42, 160, 86, 336, 106, 143, 50, 13, 4, 0], [1, 0, 19, 42, 161, 79, 357, 71, 178, 29, 20, 3, 0], [1, 0, 19, 42, 162, 72, 378, 36, 213, 8, 27, 2, 0], [1, 0, 19, 43, 149, 134, 224, 260, 17, 106, 5, 1, 1], [1, 0, 19, 43, 150, 127, 245, 225, 52, 85, 12, 0, 1], [1, 0, 19, 43, 152, 114, 280, 176, 87, 78, 5, 5, 0], [1, 0, 19, 43, 153, 107, 301, 141, 122, 57, 12, 4, 0], [1, 0, 19, 43, 154, 100, 322, 106, 157, 36, 19, 3, 0], [1, 0, 19, 43, 155, 93, 343, 71, 192, 15, 26, 2, 0], [1, 0, 19, 44, 143, 148, 210, 260, 31, 92, 11, 0, 1], [1, 0, 19, 44, 145, 135, 245, 211, 66, 85, 4, 5, 0], [1, 0, 19, 44, 146, 128, 266, 176, 101, 64, 11, 4, 0], [1, 0, 19, 44, 147, 121, 287, 141, 136, 43, 18, 3, 0], [1, 0, 19, 44, 148, 114, 308, 106, 171, 22, 25, 2, 0], [1, 0, 19, 44, 149, 107, 329, 71, 206, 1, 32, 1, 0], [1, 0, 19, 45, 136, 169, 175, 295, 10, 99, 10, 0, 1], [1, 0, 19, 45, 138, 156, 210, 246, 45, 92, 3, 5, 0], [1, 0, 19, 45, 139, 149, 231, 211, 80, 71, 10, 4, 0], [1, 0, 19, 45, 140, 142, 252, 176, 115, 50, 17, 3, 0], [1, 0, 19, 45, 141, 135, 273, 141, 150, 29, 24, 2, 0], [1, 0, 19, 45, 142, 128, 294, 106, 185, 8, 31, 1, 0], [1, 0, 19, 46, 131, 177, 175, 281, 24, 99, 2, 5, 0], [1, 0, 19, 46, 132, 170, 196, 246, 59, 78, 9, 4, 0], [1, 0, 19, 46, 133, 163, 217, 211, 94, 57, 16, 3, 0], [1, 0, 19, 46, 134, 156, 238, 176, 129, 36, 23, 2, 0], [1, 0, 19, 46, 135, 149, 259, 141, 164, 15, 30, 1, 0], [1, 0, 19, 47, 124, 198, 140, 316, 3, 106, 1, 5, 0], [1, 0, 19, 47, 125, 191, 161, 281, 38, 85, 8, 4, 0], [1, 0, 19, 47, 126, 184, 182, 246, 73, 64, 15, 3, 0], [1, 0, 19, 47, 127, 177, 203, 211, 108, 43, 22, 2, 0], [1, 0, 19, 47, 128, 170, 224, 176, 143, 22, 29, 1, 0], [1, 0, 19, 47, 129, 163, 245, 141, 178, 1, 36, 0, 0], [1, 0, 19, 48, 118, 212, 126, 316, 17, 92, 7, 4, 0], [1, 0, 19, 48, 119, 205, 147, 281, 52, 71, 14, 3, 0], [1, 0, 19, 48, 120, 198, 168, 246, 87, 50, 21, 2, 0], [1, 0, 19, 48, 121, 191, 189, 211, 122, 29, 28, 1, 0], [1, 0, 19, 48, 122, 184, 210, 176, 157, 8, 35, 0, 0], [1, 0, 19, 49, 112, 226, 112, 316, 31, 78, 13, 3, 0], [1, 0, 19, 49, 113, 219, 133, 281, 66, 57, 20, 2, 0], [1, 0, 19, 49, 114, 212, 154, 246, 101, 36, 27, 1, 0], [1, 0, 19, 49, 115, 205, 175, 211, 136, 15, 34, 0, 0], [1, 0, 19, 50, 105, 247, 77, 351, 10, 85, 12, 3, 0], [1, 0, 19, 50, 106, 240, 98, 316, 45, 64, 19, 2, 0], [1, 0, 19, 50, 107, 233, 119, 281, 80, 43, 26, 1, 0], [1, 0, 19, 50, 108, 226, 140, 246, 115, 22, 33, 0, 0], [1, 0, 19, 51, 99, 261, 63, 351, 24, 71, 18, 2, 0], [1, 0, 19, 51, 100, 254, 84, 316, 59, 50, 25, 1, 0], [1, 0, 19, 51, 101, 247, 105, 281, 94, 29, 32, 0, 0], [1, 0, 19, 52, 92, 282, 28, 386, 3, 78, 17, 2, 0], [1, 0, 19, 52, 93, 275, 49, 351, 38, 57, 24, 1, 0], [1, 0, 19, 52, 94, 268, 70, 316, 73, 36, 31, 0, 0], [1, 0, 19, 53, 86, 296, 14, 386, 17, 64, 23, 1, 0], [1, 0, 19, 53, 87, 289, 35, 351, 52, 43, 30, 0, 0], [1, 0, 19, 54, 80, 310, 0, 386, 31, 50, 29, 0, 0], [1, 0, 20, 31, 204, 1, 413, 99, 94, 91, 3, 2, 1], [1, 0, 20, 32, 197, 22, 378, 134, 73, 98, 2, 2, 1], [1, 0, 20, 32, 198, 15, 399, 99, 108, 77, 9, 1, 1], [1, 0, 20, 32, 199, 8, 420, 64, 143, 56, 16, 0, 1], [1, 0, 20, 32, 200, 2, 434, 50, 143, 70, 2, 6, 0], [1, 0, 20, 33, 190, 43, 343, 169, 52, 105, 1, 2, 1], [1, 0, 20, 33, 191, 36, 364, 134, 87, 84, 8, 1, 1], [1, 0, 20, 33, 192, 29, 385, 99, 122, 63, 15, 0, 1], [1, 0, 20, 33, 193, 23, 399, 85, 122, 77, 1, 6, 0], [1, 0, 20, 33, 194, 16, 420, 50, 157, 56, 8, 5, 0], [1, 0, 20, 33, 195, 9, 441, 15, 192, 35, 15, 4, 0], [1, 0, 20, 34, 183, 64, 308, 204, 31, 112, 0, 2, 1], [1, 0, 20, 34, 184, 57, 329, 169, 66, 91, 7, 1, 1], [1, 0, 20, 34, 185, 50, 350, 134, 101, 70, 14, 0, 1], [1, 0, 20, 34, 186, 44, 364, 120, 101, 84, 0, 6, 0], [1, 0, 20, 34, 187, 37, 385, 85, 136, 63, 7, 5, 0], [1, 0, 20, 34, 188, 30, 406, 50, 171, 42, 14, 4, 0], [1, 0, 20, 34, 189, 23, 427, 15, 206, 21, 21, 3, 0], [1, 0, 20, 35, 177, 78, 294, 204, 45, 98, 6, 1, 1], [1, 0, 20, 35, 178, 71, 315, 169, 80, 77, 13, 0, 1], [1, 0, 20, 35, 180, 58, 350, 120, 115, 70, 6, 5, 0], [1, 0, 20, 35, 181, 51, 371, 85, 150, 49, 13, 4, 0], [1, 0, 20, 35, 182, 44, 392, 50, 185, 28, 20, 3, 0], [1, 0, 20, 35, 183, 37, 413, 15, 220, 7, 27, 2, 0], [1, 0, 20, 36, 170, 99, 259, 239, 24, 105, 5, 1, 1], [1, 0, 20, 36, 171, 92, 280, 204, 59, 84, 12, 0, 1], [1, 0, 20, 36, 173, 79, 315, 155, 94, 77, 5, 5, 0], [1, 0, 20, 36, 174, 72, 336, 120, 129, 56, 12, 4, 0], [1, 0, 20, 36, 175, 65, 357, 85, 164, 35, 19, 3, 0], [1, 0, 20, 36, 176, 58, 378, 50, 199, 14, 26, 2, 0], [1, 0, 20, 37, 163, 120, 224, 274, 3, 112, 4, 1, 1], [1, 0, 20, 37, 164, 113, 245, 239, 38, 91, 11, 0, 1], [1, 0, 20, 37, 166, 100, 280, 190, 73, 84, 4, 5, 0], [1, 0, 20, 37, 167, 93, 301, 155, 108, 63, 11, 4, 0], [1, 0, 20, 37, 168, 86, 322, 120, 143, 42, 18, 3, 0], [1, 0, 20, 37, 169, 79, 343, 85, 178, 21, 25, 2, 0], [1, 0, 20, 37, 170, 72, 364, 50, 213, 0, 32, 1, 0], [1, 0, 20, 38, 157, 134, 210, 274, 17, 98, 10, 0, 1], [1, 0, 20, 38, 159, 121, 245, 225, 52, 91, 3, 5, 0], [1, 0, 20, 38, 160, 114, 266, 190, 87, 70, 10, 4, 0], [1, 0, 20, 38, 161, 107, 287, 155, 122, 49, 17, 3, 0], [1, 0, 20, 38, 162, 100, 308, 120, 157, 28, 24, 2, 0], [1, 0, 20, 38, 163, 93, 329, 85, 192, 7, 31, 1, 0], [1, 0, 20, 39, 152, 142, 210, 260, 31, 98, 2, 5, 0], [1, 0, 20, 39, 153, 135, 231, 225, 66, 77, 9, 4, 0], [1, 0, 20, 39, 154, 128, 252, 190, 101, 56, 16, 3, 0], [1, 0, 20, 39, 155, 121, 273, 155, 136, 35, 23, 2, 0], [1, 0, 20, 39, 156, 114, 294, 120, 171, 14, 30, 1, 0], [1, 0, 20, 40, 145, 163, 175, 295, 10, 105, 1, 5, 0], [1, 0, 20, 40, 146, 156, 196, 260, 45, 84, 8, 4, 0], [1, 0, 20, 40, 147, 149, 217, 225, 80, 63, 15, 3, 0], [1, 0, 20, 40, 148, 142, 238, 190, 115, 42, 22, 2, 0], [1, 0, 20, 40, 149, 135, 259, 155, 150, 21, 29, 1, 0], [1, 0, 20, 40, 150, 128, 280, 120, 185, 0, 36, 0, 0], [1, 0, 20, 41, 139, 177, 161, 295, 24, 91, 7, 4, 0], [1, 0, 20, 41, 140, 170, 182, 260, 59, 70, 14, 3, 0], [1, 0, 20, 41, 141, 163, 203, 225, 94, 49, 21, 2, 0], [1, 0, 20, 41, 142, 156, 224, 190, 129, 28, 28, 1, 0], [1, 0, 20, 41, 143, 149, 245, 155, 164, 7, 35, 0, 0], [1, 0, 20, 42, 132, 198, 126, 330, 3, 98, 6, 4, 0], [1, 0, 20, 42, 133, 191, 147, 295, 38, 77, 13, 3, 0], [1, 0, 20, 42, 134, 184, 168, 260, 73, 56, 20, 2, 0], [1, 0, 20, 42, 135, 177, 189, 225, 108, 35, 27, 1, 0], [1, 0, 20, 42, 136, 170, 210, 190, 143, 14, 34, 0, 0], [1, 0, 20, 43, 126, 212, 112, 330, 17, 84, 12, 3, 0], [1, 0, 20, 43, 127, 205, 133, 295, 52, 63, 19, 2, 0], [1, 0, 20, 43, 128, 198, 154, 260, 87, 42, 26, 1, 0], [1, 0, 20, 43, 129, 191, 175, 225, 122, 21, 33, 0, 0], [1, 0, 20, 44, 120, 226, 98, 330, 31, 70, 18, 2, 0], [1, 0, 20, 44, 121, 219, 119, 295, 66, 49, 25, 1, 0], [1, 0, 20, 44, 122, 212, 140, 260, 101, 28, 32, 0, 0], [1, 0, 20, 45, 113, 247, 63, 365, 10, 77, 17, 2, 0], [1, 0, 20, 45, 114, 240, 84, 330, 45, 56, 24, 1, 0], [1, 0, 20, 45, 115, 233, 105, 295, 80, 35, 31, 0, 0], [1, 0, 20, 46, 107, 261, 49, 365, 24, 63, 23, 1, 0], [1, 0, 20, 46, 108, 254, 70, 330, 59, 42, 30, 0, 0], [1, 0, 20, 47, 100, 282, 14, 400, 3, 70, 22, 1, 0], [1, 0, 20, 47, 101, 275, 35, 365, 38, 49, 29, 0, 0], [1, 0, 20, 48, 94, 296, 0, 400, 17, 56, 28, 0, 0], [1, 0, 21, 26, 211, 8, 378, 148, 59, 104, 1, 2, 1], [1, 0, 21, 26, 212, 1, 399, 113, 94, 83, 8, 1, 1], [1, 0, 21, 27, 204, 29, 343, 183, 38, 111, 0, 2, 1], [1, 0, 21, 27, 205, 22, 364, 148, 73, 90, 7, 1, 1], [1, 0, 21, 27, 206, 15, 385, 113, 108, 69, 14, 0, 1], [1, 0, 21, 27, 207, 9, 399, 99, 108, 83, 0, 6, 0], [1, 0, 21, 27, 208, 2, 420, 64, 143, 62, 7, 5, 0], [1, 0, 21, 28, 198, 43, 329, 183, 52, 97, 6, 1, 1], [1, 0, 21, 28, 199, 36, 350, 148, 87, 76, 13, 0, 1], [1, 0, 21, 28, 201, 23, 385, 99, 122, 69, 6, 5, 0], [1, 0, 21, 28, 202, 16, 406, 64, 157, 48, 13, 4, 0], [1, 0, 21, 28, 203, 9, 427, 29, 192, 27, 20, 3, 0], [1, 0, 21, 29, 191, 64, 294, 218, 31, 104, 5, 1, 1], [1, 0, 21, 29, 192, 57, 315, 183, 66, 83, 12, 0, 1], [1, 0, 21, 29, 194, 44, 350, 134, 101, 76, 5, 5, 0], [1, 0, 21, 29, 195, 37, 371, 99, 136, 55, 12, 4, 0], [1, 0, 21, 29, 196, 30, 392, 64, 171, 34, 19, 3, 0], [1, 0, 21, 29, 197, 23, 413, 29, 206, 13, 26, 2, 0], [1, 0, 21, 30, 184, 85, 259, 253, 10, 111, 4, 1, 1], [1, 0, 21, 30, 185, 78, 280, 218, 45, 90, 11, 0, 1], [1, 0, 21, 30, 187, 65, 315, 169, 80, 83, 4, 5, 0], [1, 0, 21, 30, 188, 58, 336, 134, 115, 62, 11, 4, 0], [1, 0, 21, 30, 189, 51, 357, 99, 150, 41, 18, 3, 0], [1, 0, 21, 30, 190, 44, 378, 64, 185, 20, 25, 2, 0], [1, 0, 21, 31, 178, 99, 245, 253, 24, 97, 10, 0, 1], [1, 0, 21, 31, 180, 86, 280, 204, 59, 90, 3, 5, 0], [1, 0, 21, 31, 181, 79, 301, 169, 94, 69, 10, 4, 0], [1, 0, 21, 31, 182, 72, 322, 134, 129, 48, 17, 3, 0], [1, 0, 21, 31, 183, 65, 343, 99, 164, 27, 24, 2, 0], [1, 0, 21, 31, 184, 58, 364, 64, 199, 6, 31, 1, 0], [1, 0, 21, 32, 171, 120, 210, 288, 3, 104, 9, 0, 1], [1, 0, 21, 32, 173, 107, 245, 239, 38, 97, 2, 5, 0], [1, 0, 21, 32, 174, 100, 266, 204, 73, 76, 9, 4, 0], [1, 0, 21, 32, 175, 93, 287, 169, 108, 55, 16, 3, 0], [1, 0, 21, 32, 176, 86, 308, 134, 143, 34, 23, 2, 0], [1, 0, 21, 32, 177, 79, 329, 99, 178, 13, 30, 1, 0], [1, 0, 21, 33, 166, 128, 210, 274, 17, 104, 1, 5, 0], [1, 0, 21, 33, 167, 121, 231, 239, 52, 83, 8, 4, 0], [1, 0, 21, 33, 168, 114, 252, 204, 87, 62, 15, 3, 0], [1, 0, 21, 33, 169, 107, 273, 169, 122, 41, 22, 2, 0], [1, 0, 21, 33, 170, 100, 294, 134, 157, 20, 29, 1, 0], [1, 0, 21, 34, 160, 142, 196, 274, 31, 90, 7, 4, 0], [1, 0, 21, 34, 161, 135, 217, 239, 66, 69, 14, 3, 0], [1, 0, 21, 34, 162, 128, 238, 204, 101, 48, 21, 2, 0], [1, 0, 21, 34, 163, 121, 259, 169, 136, 27, 28, 1, 0], [1, 0, 21, 34, 164, 114, 280, 134, 171, 6, 35, 0, 0], [1, 0, 21, 35, 153, 163, 161, 309, 10, 97, 6, 4, 0], [1, 0, 21, 35, 154, 156, 182, 274, 45, 76, 13, 3, 0], [1, 0, 21, 35, 155, 149, 203, 239, 80, 55, 20, 2, 0], [1, 0, 21, 35, 156, 142, 224, 204, 115, 34, 27, 1, 0], [1, 0, 21, 35, 157, 135, 245, 169, 150, 13, 34, 0, 0], [1, 0, 21, 36, 147, 177, 147, 309, 24, 83, 12, 3, 0], [1, 0, 21, 36, 148, 170, 168, 274, 59, 62, 19, 2, 0], [1, 0, 21, 36, 149, 163, 189, 239, 94, 41, 26, 1, 0], [1, 0, 21, 36, 150, 156, 210, 204, 129, 20, 33, 0, 0], [1, 0, 21, 37, 140, 198, 112, 344, 3, 90, 11, 3, 0], [1, 0, 21, 37, 141, 191, 133, 309, 38, 69, 18, 2, 0], [1, 0, 21, 37, 142, 184, 154, 274, 73, 48, 25, 1, 0], [1, 0, 21, 37, 143, 177, 175, 239, 108, 27, 32, 0, 0], [1, 0, 21, 38, 134, 212, 98, 344, 17, 76, 17, 2, 0], [1, 0, 21, 38, 135, 205, 119, 309, 52, 55, 24, 1, 0], [1, 0, 21, 38, 136, 198, 140, 274, 87, 34, 31, 0, 0], [1, 0, 21, 39, 128, 226, 84, 344, 31, 62, 23, 1, 0], [1, 0, 21, 39, 129, 219, 105, 309, 66, 41, 30, 0, 0], [1, 0, 21, 40, 121, 247, 49, 379, 10, 69, 22, 1, 0], [1, 0, 21, 40, 122, 240, 70, 344, 45, 48, 29, 0, 0], [1, 0, 21, 41, 115, 261, 35, 379, 24, 55, 28, 0, 0], [1, 0, 21, 42, 108, 282, 0, 414, 3, 62, 27, 0, 0], [1, 0, 22, 21, 219, 8, 364, 162, 59, 96, 6, 1, 1], [1, 0, 22, 21, 220, 1, 385, 127, 94, 75, 13, 0, 1], [1, 0, 22, 22, 212, 29, 329, 197, 38, 103, 5, 1, 1], [1, 0, 22, 22, 213, 22, 350, 162, 73, 82, 12, 0, 1], [1, 0, 22, 22, 215, 9, 385, 113, 108, 75, 5, 5, 0], [1, 0, 22, 22, 216, 2, 406, 78, 143, 54, 12, 4, 0], [1, 0, 22, 23, 205, 50, 294, 232, 17, 110, 4, 1, 1], [1, 0, 22, 23, 206, 43, 315, 197, 52, 89, 11, 0, 1], [1, 0, 22, 23, 208, 30, 350, 148, 87, 82, 4, 5, 0], [1, 0, 22, 23, 209, 23, 371, 113, 122, 61, 11, 4, 0], [1, 0, 22, 23, 210, 16, 392, 78, 157, 40, 18, 3, 0], [1, 0, 22, 23, 211, 9, 413, 43, 192, 19, 25, 2, 0], [1, 0, 22, 24, 199, 64, 280, 232, 31, 96, 10, 0, 1], [1, 0, 22, 24, 201, 51, 315, 183, 66, 89, 3, 5, 0], [1, 0, 22, 24, 202, 44, 336, 148, 101, 68, 10, 4, 0], [1, 0, 22, 24, 203, 37, 357, 113, 136, 47, 17, 3, 0], [1, 0, 22, 24, 204, 30, 378, 78, 171, 26, 24, 2, 0], [1, 0, 22, 24, 205, 23, 399, 43, 206, 5, 31, 1, 0], [1, 0, 22, 25, 192, 85, 245, 267, 10, 103, 9, 0, 1], [1, 0, 22, 25, 194, 72, 280, 218, 45, 96, 2, 5, 0], [1, 0, 22, 25, 195, 65, 301, 183, 80, 75, 9, 4, 0], [1, 0, 22, 25, 196, 58, 322, 148, 115, 54, 16, 3, 0], [1, 0, 22, 25, 197, 51, 343, 113, 150, 33, 23, 2, 0], [1, 0, 22, 25, 198, 44, 364, 78, 185, 12, 30, 1, 0], [1, 0, 22, 26, 187, 93, 245, 253, 24, 103, 1, 5, 0], [1, 0, 22, 26, 188, 86, 266, 218, 59, 82, 8, 4, 0], [1, 0, 22, 26, 189, 79, 287, 183, 94, 61, 15, 3, 0], [1, 0, 22, 26, 190, 72, 308, 148, 129, 40, 22, 2, 0], [1, 0, 22, 26, 191, 65, 329, 113, 164, 19, 29, 1, 0], [1, 0, 22, 27, 180, 114, 210, 288, 3, 110, 0, 5, 0], [1, 0, 22, 27, 181, 107, 231, 253, 38, 89, 7, 4, 0], [1, 0, 22, 27, 182, 100, 252, 218, 73, 68, 14, 3, 0], [1, 0, 22, 27, 183, 93, 273, 183, 108, 47, 21, 2, 0], [1, 0, 22, 27, 184, 86, 294, 148, 143, 26, 28, 1, 0], [1, 0, 22, 27, 185, 79, 315, 113, 178, 5, 35, 0, 0], [1, 0, 22, 28, 174, 128, 196, 288, 17, 96, 6, 4, 0], [1, 0, 22, 28, 175, 121, 217, 253, 52, 75, 13, 3, 0], [1, 0, 22, 28, 176, 114, 238, 218, 87, 54, 20, 2, 0], [1, 0, 22, 28, 177, 107, 259, 183, 122, 33, 27, 1, 0], [1, 0, 22, 28, 178, 100, 280, 148, 157, 12, 34, 0, 0], [1, 0, 22, 29, 168, 142, 182, 288, 31, 82, 12, 3, 0], [1, 0, 22, 29, 169, 135, 203, 253, 66, 61, 19, 2, 0], [1, 0, 22, 29, 170, 128, 224, 218, 101, 40, 26, 1, 0], [1, 0, 22, 29, 171, 121, 245, 183, 136, 19, 33, 0, 0], [1, 0, 22, 30, 161, 163, 147, 323, 10, 89, 11, 3, 0], [1, 0, 22, 30, 162, 156, 168, 288, 45, 68, 18, 2, 0], [1, 0, 22, 30, 163, 149, 189, 253, 80, 47, 25, 1, 0], [1, 0, 22, 30, 164, 142, 210, 218, 115, 26, 32, 0, 0], [1, 0, 22, 31, 155, 177, 133, 323, 24, 75, 17, 2, 0], [1, 0, 22, 31, 156, 170, 154, 288, 59, 54, 24, 1, 0], [1, 0, 22, 31, 157, 163, 175, 253, 94, 33, 31, 0, 0], [1, 0, 22, 32, 148, 198, 98, 358, 3, 82, 16, 2, 0], [1, 0, 22, 32, 149, 191, 119, 323, 38, 61, 23, 1, 0], [1, 0, 22, 32, 150, 184, 140, 288, 73, 40, 30, 0, 0], [1, 0, 22, 33, 142, 212, 84, 358, 17, 68, 22, 1, 0], [1, 0, 22, 33, 143, 205, 105, 323, 52, 47, 29, 0, 0], [1, 0, 22, 34, 136, 226, 70, 358, 31, 54, 28, 0, 0], [1, 0, 22, 35, 129, 247, 35, 393, 10, 61, 27, 0, 0], [1, 0, 23, 16, 226, 15, 329, 211, 24, 109, 4, 1, 1], [1, 0, 23, 16, 227, 8, 350, 176, 59, 88, 11, 0, 1], [1, 0, 23, 17, 219, 36, 294, 246, 3, 116, 3, 1, 1], [1, 0, 23, 17, 220, 29, 315, 211, 38, 95, 10, 0, 1], [1, 0, 23, 17, 222, 16, 350, 162, 73, 88, 3, 5, 0], [1, 0, 23, 17, 223, 9, 371, 127, 108, 67, 10, 4, 0], [1, 0, 23, 17, 224, 2, 392, 92, 143, 46, 17, 3, 0], [1, 0, 23, 18, 213, 50, 280, 246, 17, 102, 9, 0, 1], [1, 0, 23, 18, 215, 37, 315, 197, 52, 95, 2, 5, 0], [1, 0, 23, 18, 216, 30, 336, 162, 87, 74, 9, 4, 0], [1, 0, 23, 18, 217, 23, 357, 127, 122, 53, 16, 3, 0], [1, 0, 23, 18, 218, 16, 378, 92, 157, 32, 23, 2, 0], [1, 0, 23, 18, 219, 9, 399, 57, 192, 11, 30, 1, 0], [1, 0, 23, 19, 208, 58, 280, 232, 31, 102, 1, 5, 0], [1, 0, 23, 19, 209, 51, 301, 197, 66, 81, 8, 4, 0], [1, 0, 23, 19, 210, 44, 322, 162, 101, 60, 15, 3, 0], [1, 0, 23, 19, 211, 37, 343, 127, 136, 39, 22, 2, 0], [1, 0, 23, 19, 212, 30, 364, 92, 171, 18, 29, 1, 0], [1, 0, 23, 20, 201, 79, 245, 267, 10, 109, 0, 5, 0], [1, 0, 23, 20, 202, 72, 266, 232, 45, 88, 7, 4, 0], [1, 0, 23, 20, 203, 65, 287, 197, 80, 67, 14, 3, 0], [1, 0, 23, 20, 204, 58, 308, 162, 115, 46, 21, 2, 0], [1, 0, 23, 20, 205, 51, 329, 127, 150, 25, 28, 1, 0], [1, 0, 23, 20, 206, 44, 350, 92, 185, 4, 35, 0, 0], [1, 0, 23, 21, 195, 93, 231, 267, 24, 95, 6, 4, 0], [1, 0, 23, 21, 196, 86, 252, 232, 59, 74, 13, 3, 0], [1, 0, 23, 21, 197, 79, 273, 197, 94, 53, 20, 2, 0], [1, 0, 23, 21, 198, 72, 294, 162, 129, 32, 27, 1, 0], [1, 0, 23, 21, 199, 65, 315, 127, 164, 11, 34, 0, 0], [1, 0, 23, 22, 188, 114, 196, 302, 3, 102, 5, 4, 0], [1, 0, 23, 22, 189, 107, 217, 267, 38, 81, 12, 3, 0], [1, 0, 23, 22, 190, 100, 238, 232, 73, 60, 19, 2, 0], [1, 0, 23, 22, 191, 93, 259, 197, 108, 39, 26, 1, 0], [1, 0, 23, 22, 192, 86, 280, 162, 143, 18, 33, 0, 0], [1, 0, 23, 23, 182, 128, 182, 302, 17, 88, 11, 3, 0], [1, 0, 23, 23, 183, 121, 203, 267, 52, 67, 18, 2, 0], [1, 0, 23, 23, 184, 114, 224, 232, 87, 46, 25, 1, 0], [1, 0, 23, 23, 185, 107, 245, 197, 122, 25, 32, 0, 0], [1, 0, 23, 24, 176, 142, 168, 302, 31, 74, 17, 2, 0], [1, 0, 23, 24, 177, 135, 189, 267, 66, 53, 24, 1, 0], [1, 0, 23, 24, 178, 128, 210, 232, 101, 32, 31, 0, 0], [1, 0, 23, 25, 169, 163, 133, 337, 10, 81, 16, 2, 0], [1, 0, 23, 25, 170, 156, 154, 302, 45, 60, 23, 1, 0], [1, 0, 23, 25, 171, 149, 175, 267, 80, 39, 30, 0, 0], [1, 0, 23, 26, 163, 177, 119, 337, 24, 67, 22, 1, 0], [1, 0, 23, 26, 164, 170, 140, 302, 59, 46, 29, 0, 0], [1, 0, 23, 27, 156, 198, 84, 372, 3, 74, 21, 1, 0], [1, 0, 23, 27, 157, 191, 105, 337, 38, 53, 28, 0, 0], [1, 0, 23, 28, 150, 212, 70, 372, 17, 60, 27, 0, 0], [1, 0, 24, 10, 240, 1, 329, 225, 10, 115, 3, 1, 1], [1, 0, 24, 11, 234, 15, 315, 225, 24, 101, 9, 0, 1], [1, 0, 24, 11, 236, 2, 350, 176, 59, 94, 2, 5, 0], [1, 0, 24, 12, 227, 36, 280, 260, 3, 108, 8, 0, 1], [1, 0, 24, 12, 229, 23, 315, 211, 38, 101, 1, 5, 0], [1, 0, 24, 12, 230, 16, 336, 176, 73, 80, 8, 4, 0], [1, 0, 24, 12, 231, 9, 357, 141, 108, 59, 15, 3, 0], [1, 0, 24, 12, 232, 2, 378, 106, 143, 38, 22, 2, 0], [1, 0, 24, 13, 222, 44, 280, 246, 17, 108, 0, 5, 0], [1, 0, 24, 13, 223, 37, 301, 211, 52, 87, 7, 4, 0], [1, 0, 24, 13, 224, 30, 322, 176, 87, 66, 14, 3, 0], [1, 0, 24, 13, 225, 23, 343, 141, 122, 45, 21, 2, 0], [1, 0, 24, 13, 226, 16, 364, 106, 157, 24, 28, 1, 0], [1, 0, 24, 13, 227, 9, 385, 71, 192, 3, 35, 0, 0], [1, 0, 24, 14, 216, 58, 266, 246, 31, 94, 6, 4, 0], [1, 0, 24, 14, 217, 51, 287, 211, 66, 73, 13, 3, 0], [1, 0, 24, 14, 218, 44, 308, 176, 101, 52, 20, 2, 0], [1, 0, 24, 14, 219, 37, 329, 141, 136, 31, 27, 1, 0], [1, 0, 24, 14, 220, 30, 350, 106, 171, 10, 34, 0, 0], [1, 0, 24, 15, 209, 79, 231, 281, 10, 101, 5, 4, 0], [1, 0, 24, 15, 210, 72, 252, 246, 45, 80, 12, 3, 0], [1, 0, 24, 15, 211, 65, 273, 211, 80, 59, 19, 2, 0], [1, 0, 24, 15, 212, 58, 294, 176, 115, 38, 26, 1, 0], [1, 0, 24, 15, 213, 51, 315, 141, 150, 17, 33, 0, 0], [1, 0, 24, 16, 203, 93, 217, 281, 24, 87, 11, 3, 0], [1, 0, 24, 16, 204, 86, 238, 246, 59, 66, 18, 2, 0], [1, 0, 24, 16, 205, 79, 259, 211, 94, 45, 25, 1, 0], [1, 0, 24, 16, 206, 72, 280, 176, 129, 24, 32, 0, 0], [1, 0, 24, 17, 196, 114, 182, 316, 3, 94, 10, 3, 0], [1, 0, 24, 17, 197, 107, 203, 281, 38, 73, 17, 2, 0], [1, 0, 24, 17, 198, 100, 224, 246, 73, 52, 24, 1, 0], [1, 0, 24, 17, 199, 93, 245, 211, 108, 31, 31, 0, 0], [1, 0, 24, 18, 190, 128, 168, 316, 17, 80, 16, 2, 0], [1, 0, 24, 18, 191, 121, 189, 281, 52, 59, 23, 1, 0], [1, 0, 24, 18, 192, 114, 210, 246, 87, 38, 30, 0, 0], [1, 0, 24, 19, 184, 142, 154, 316, 31, 66, 22, 1, 0], [1, 0, 24, 19, 185, 135, 175, 281, 66, 45, 29, 0, 0], [1, 0, 24, 20, 177, 163, 119, 351, 10, 73, 21, 1, 0], [1, 0, 24, 20, 178, 156, 140, 316, 45, 52, 28, 0, 0], [1, 0, 24, 21, 171, 177, 105, 351, 24, 59, 27, 0, 0], [1, 0, 24, 22, 164, 198, 70, 386, 3, 66, 26, 0, 0], [1, 0, 25, 5, 248, 1, 315, 239, 10, 107, 8, 0, 1], [1, 0, 25, 6, 243, 9, 315, 225, 24, 107, 0, 5, 0], [1, 0, 25, 6, 244, 2, 336, 190, 59, 86, 7, 4, 0], [1, 0, 25, 7, 237, 23, 301, 225, 38, 93, 6, 4, 0], [1, 0, 25, 7, 238, 16, 322, 190, 73, 72, 13, 3, 0], [1, 0, 25, 7, 239, 9, 343, 155, 108, 51, 20, 2, 0], [1, 0, 25, 7, 240, 2, 364, 120, 143, 30, 27, 1, 0], [1, 0, 25, 8, 230, 44, 266, 260, 17, 100, 5, 4, 0], [1, 0, 25, 8, 231, 37, 287, 225, 52, 79, 12, 3, 0], [1, 0, 25, 8, 232, 30, 308, 190, 87, 58, 19, 2, 0], [1, 0, 25, 8, 233, 23, 329, 155, 122, 37, 26, 1, 0], [1, 0, 25, 8, 234, 16, 350, 120, 157, 16, 33, 0, 0], [1, 0, 25, 9, 224, 58, 252, 260, 31, 86, 11, 3, 0], [1, 0, 25, 9, 225, 51, 273, 225, 66, 65, 18, 2, 0], [1, 0, 25, 9, 226, 44, 294, 190, 101, 44, 25, 1, 0], [1, 0, 25, 9, 227, 37, 315, 155, 136, 23, 32, 0, 0], [1, 0, 25, 10, 217, 79, 217, 295, 10, 93, 10, 3, 0], [1, 0, 25, 10, 218, 72, 238, 260, 45, 72, 17, 2, 0], [1, 0, 25, 10, 219, 65, 259, 225, 80, 51, 24, 1, 0], [1, 0, 25, 10, 220, 58, 280, 190, 115, 30, 31, 0, 0], [1, 0, 25, 11, 211, 93, 203, 295, 24, 79, 16, 2, 0], [1, 0, 25, 11, 212, 86, 224, 260, 59, 58, 23, 1, 0], [1, 0, 25, 11, 213, 79, 245, 225, 94, 37, 30, 0, 0], [1, 0, 25, 12, 204, 114, 168, 330, 3, 86, 15, 2, 0], [1, 0, 25, 12, 205, 107, 189, 295, 38, 65, 22, 1, 0], [1, 0, 25, 12, 206, 100, 210, 260, 73, 44, 29, 0, 0], [1, 0, 25, 13, 198, 128, 154, 330, 17, 72, 21, 1, 0], [1, 0, 25, 13, 199, 121, 175, 295, 52, 51, 28, 0, 0], [1, 0, 25, 14, 192, 142, 140, 330, 31, 58, 27, 0, 0], [1, 0, 25, 15, 185, 163, 105, 365, 10, 65, 26, 0, 0], [1, 0, 26, 1, 251, 9, 301, 239, 24, 99, 5, 4, 0], [1, 0, 26, 1, 252, 2, 322, 204, 59, 78, 12, 3, 0], [1, 0, 26, 2, 244, 30, 266, 274, 3, 106, 4, 4, 0], [1, 0, 26, 2, 245, 23, 287, 239, 38, 85, 11, 3, 0], [1, 0, 26, 2, 246, 16, 308, 204, 73, 64, 18, 2, 0], [1, 0, 26, 2, 247, 9, 329, 169, 108, 43, 25, 1, 0], [1, 0, 26, 2, 248, 2, 350, 134, 143, 22, 32, 0, 0], [1, 0, 26, 3, 238, 44, 252, 274, 17, 92, 10, 3, 0], [1, 0, 26, 3, 239, 37, 273, 239, 52, 71, 17, 2, 0], [1, 0, 26, 3, 240, 30, 294, 204, 87, 50, 24, 1, 0], [1, 0, 26, 3, 241, 23, 315, 169, 122, 29, 31, 0, 0], [1, 0, 26, 4, 232, 58, 238, 274, 31, 78, 16, 2, 0], [1, 0, 26, 4, 233, 51, 259, 239, 66, 57, 23, 1, 0], [1, 0, 26, 4, 234, 44, 280, 204, 101, 36, 30, 0, 0], [1, 0, 26, 5, 225, 79, 203, 309, 10, 85, 15, 2, 0], [1, 0, 26, 5, 226, 72, 224, 274, 45, 64, 22, 1, 0], [1, 0, 26, 5, 227, 65, 245, 239, 80, 43, 29, 0, 0], [1, 0, 26, 6, 219, 93, 189, 309, 24, 71, 21, 1, 0], [1, 0, 26, 6, 220, 86, 210, 274, 59, 50, 28, 0, 0], [1, 0, 26, 7, 212, 114, 154, 344, 3, 78, 20, 1, 0], [1, 0, 26, 7, 213, 107, 175, 309, 38, 57, 27, 0, 0], [1, 0, 26, 8, 206, 128, 140, 344, 17, 64, 26, 0, 0], [1, 0, 27, 0, 233, 79, 189, 323, 10, 77, 20, 1, 0], [1, 0, 27, 0, 234, 72, 210, 288, 45, 56, 27, 0, 0], [1, 0, 27, 1, 227, 93, 175, 323, 24, 63, 26, 0, 0], [1, 0, 27, 2, 220, 114, 140, 358, 3, 70, 25, 0, 0], [1, 1, 1, 122, 10, 196, 364, 22, 163, 75, 3, 0, 2], [1, 1, 1, 123, 3, 217, 329, 57, 142, 82, 2, 0, 2], [1, 1, 2, 115, 31, 161, 399, 1, 170, 74, 3, 0, 2], [1, 1, 2, 116, 24, 182, 364, 36, 149, 81, 2, 0, 2], [1, 1, 2, 117, 17, 203, 329, 71, 128, 88, 1, 0, 2], [1, 1, 2, 118, 10, 224, 294, 106, 107, 95, 0, 0, 2], [1, 1, 2, 118, 13, 204, 350, 22, 177, 67, 0, 4, 1], [1, 1, 2, 119, 7, 218, 336, 22, 191, 53, 6, 3, 1], [1, 1, 2, 120, 0, 239, 301, 57, 170, 60, 5, 3, 1], [1, 1, 2, 120, 1, 232, 322, 22, 205, 39, 12, 2, 1], [1, 1, 3, 109, 45, 147, 399, 15, 156, 80, 2, 0, 2], [1, 1, 3, 110, 38, 168, 364, 50, 135, 87, 1, 0, 2], [1, 1, 3, 111, 31, 189, 329, 85, 114, 94, 0, 0, 2], [1, 1, 3, 111, 34, 169, 385, 1, 184, 66, 0, 4, 1], [1, 1, 3, 112, 28, 183, 371, 1, 198, 52, 6, 3, 1], [1, 1, 3, 113, 21, 204, 336, 36, 177, 59, 5, 3, 1], [1, 1, 3, 113, 22, 197, 357, 1, 212, 38, 12, 2, 1], [1, 1, 3, 114, 14, 225, 301, 71, 156, 66, 4, 3, 1], [1, 1, 3, 114, 15, 218, 322, 36, 191, 45, 11, 2, 1], [1, 1, 3, 114, 16, 211, 343, 1, 226, 24, 18, 1, 1], [1, 1, 3, 115, 7, 246, 266, 106, 135, 73, 3, 3, 1], [1, 1, 3, 115, 8, 239, 287, 71, 170, 52, 10, 2, 1], [1, 1, 3, 115, 9, 232, 308, 36, 205, 31, 17, 1, 1], [1, 1, 3, 115, 10, 225, 329, 1, 240, 10, 24, 0, 1], [1, 1, 3, 115, 10, 226, 322, 22, 205, 45, 3, 7, 0], [1, 1, 3, 116, 0, 267, 231, 141, 114, 80, 2, 3, 1], [1, 1, 3, 116, 1, 260, 252, 106, 149, 59, 9, 2, 1], [1, 1, 3, 116, 2, 253, 273, 71, 184, 38, 16, 1, 1], [1, 1, 3, 116, 3, 246, 294, 36, 219, 17, 23, 0, 1], [1, 1, 3, 116, 3, 247, 287, 57, 184, 52, 2, 7, 0], [1, 1, 3, 116, 4, 240, 308, 22, 219, 31, 9, 6, 0], [1, 1, 4, 103, 59, 133, 399, 29, 142, 86, 1, 0, 2], [1, 1, 4, 104, 52, 154, 364, 64, 121, 93, 0, 0, 2], [1, 1, 4, 106, 42, 169, 371, 15, 184, 58, 5, 3, 1], [1, 1, 4, 107, 35, 190, 336, 50, 163, 65, 4, 3, 1], [1, 1, 4, 107, 36, 183, 357, 15, 198, 44, 11, 2, 1], [1, 1, 4, 108, 28, 211, 301, 85, 142, 72, 3, 3, 1], [1, 1, 4, 108, 29, 204, 322, 50, 177, 51, 10, 2, 1], [1, 1, 4, 108, 30, 197, 343, 15, 212, 30, 17, 1, 1], [1, 1, 4, 108, 31, 191, 357, 1, 212, 44, 3, 7, 0], [1, 1, 4, 109, 21, 232, 266, 120, 121, 79, 2, 3, 1], [1, 1, 4, 109, 22, 225, 287, 85, 156, 58, 9, 2, 1], [1, 1, 4, 109, 23, 218, 308, 50, 191, 37, 16, 1, 1], [1, 1, 4, 109, 24, 211, 329, 15, 226, 16, 23, 0, 1], [1, 1, 4, 109, 24, 212, 322, 36, 191, 51, 2, 7, 0], [1, 1, 4, 109, 25, 205, 343, 1, 226, 30, 9, 6, 0], [1, 1, 4, 110, 14, 253, 231, 155, 100, 86, 1, 3, 1], [1, 1, 4, 110, 15, 246, 252, 120, 135, 65, 8, 2, 1], [1, 1, 4, 110, 16, 239, 273, 85, 170, 44, 15, 1, 1], [1, 1, 4, 110, 17, 232, 294, 50, 205, 23, 22, 0, 1], [1, 1, 4, 110, 17, 233, 287, 71, 170, 58, 1, 7, 0], [1, 1, 4, 110, 18, 226, 308, 36, 205, 37, 8, 6, 0], [1, 1, 4, 110, 19, 219, 329, 1, 240, 16, 15, 5, 0], [1, 1, 4, 111, 7, 274, 196, 190, 79, 93, 0, 3, 1], [1, 1, 4, 111, 8, 267, 217, 155, 114, 72, 7, 2, 1], [1, 1, 4, 111, 9, 260, 238, 120, 149, 51, 14, 1, 1], [1, 1, 4, 111, 10, 253, 259, 85, 184, 30, 21, 0, 1], [1, 1, 4, 111, 10, 254, 252, 106, 149, 65, 0, 7, 0], [1, 1, 4, 111, 11, 247, 273, 71, 184, 44, 7, 6, 0], [1, 1, 4, 111, 12, 240, 294, 36, 219, 23, 14, 5, 0], [1, 1, 4, 111, 13, 233, 315, 1, 254, 2, 21, 4, 0], [1, 1, 4, 112, 1, 288, 182, 190, 93, 79, 6, 2, 1], [1, 1, 4, 112, 2, 281, 203, 155, 128, 58, 13, 1, 1], [1, 1, 4, 112, 3, 274, 224, 120, 163, 37, 20, 0, 1], [1, 1, 4, 112, 4, 268, 238, 106, 163, 51, 6, 6, 0], [1, 1, 4, 112, 5, 261, 259, 71, 198, 30, 13, 5, 0], [1, 1, 4, 112, 6, 254, 280, 36, 233, 9, 20, 4, 0], [1, 1, 5, 96, 80, 98, 434, 8, 149, 85, 1, 0, 2], [1, 1, 5, 97, 73, 119, 399, 43, 128, 92, 0, 0, 2], [1, 1, 5, 100, 56, 155, 371, 29, 170, 64, 4, 3, 1], [1, 1, 5, 101, 49, 176, 336, 64, 149, 71, 3, 3, 1], [1, 1, 5, 101, 50, 169, 357, 29, 184, 50, 10, 2, 1], [1, 1, 5, 102, 42, 197, 301, 99, 128, 78, 2, 3, 1], [1, 1, 5, 102, 43, 190, 322, 64, 163, 57, 9, 2, 1], [1, 1, 5, 102, 44, 183, 343, 29, 198, 36, 16, 1, 1], [1, 1, 5, 102, 45, 177, 357, 15, 198, 50, 2, 7, 0], [1, 1, 5, 103, 35, 218, 266, 134, 107, 85, 1, 3, 1], [1, 1, 5, 103, 36, 211, 287, 99, 142, 64, 8, 2, 1], [1, 1, 5, 103, 37, 204, 308, 64, 177, 43, 15, 1, 1], [1, 1, 5, 103, 38, 197, 329, 29, 212, 22, 22, 0, 1], [1, 1, 5, 103, 38, 198, 322, 50, 177, 57, 1, 7, 0], [1, 1, 5, 103, 39, 191, 343, 15, 212, 36, 8, 6, 0], [1, 1, 5, 104, 28, 239, 231, 169, 86, 92, 0, 3, 1], [1, 1, 5, 104, 29, 232, 252, 134, 121, 71, 7, 2, 1], [1, 1, 5, 104, 30, 225, 273, 99, 156, 50, 14, 1, 1], [1, 1, 5, 104, 31, 218, 294, 64, 191, 29, 21, 0, 1], [1, 1, 5, 104, 31, 219, 287, 85, 156, 64, 0, 7, 0], [1, 1, 5, 104, 32, 212, 308, 50, 191, 43, 7, 6, 0], [1, 1, 5, 104, 33, 205, 329, 15, 226, 22, 14, 5, 0], [1, 1, 5, 105, 22, 253, 217, 169, 100, 78, 6, 2, 1], [1, 1, 5, 105, 23, 246, 238, 134, 135, 57, 13, 1, 1], [1, 1, 5, 105, 24, 239, 259, 99, 170, 36, 20, 0, 1], [1, 1, 5, 105, 25, 233, 273, 85, 170, 50, 6, 6, 0], [1, 1, 5, 105, 26, 226, 294, 50, 205, 29, 13, 5, 0], [1, 1, 5, 105, 27, 219, 315, 15, 240, 8, 20, 4, 0], [1, 1, 5, 106, 15, 274, 182, 204, 79, 85, 5, 2, 1], [1, 1, 5, 106, 16, 267, 203, 169, 114, 64, 12, 1, 1], [1, 1, 5, 106, 17, 260, 224, 134, 149, 43, 19, 0, 1], [1, 1, 5, 106, 18, 254, 238, 120, 149, 57, 5, 6, 0], [1, 1, 5, 106, 19, 247, 259, 85, 184, 36, 12, 5, 0], [1, 1, 5, 106, 20, 240, 280, 50, 219, 15, 19, 4, 0], [1, 1, 5, 107, 8, 295, 147, 239, 58, 92, 4, 2, 1], [1, 1, 5, 107, 9, 288, 168, 204, 93, 71, 11, 1, 1], [1, 1, 5, 107, 10, 281, 189, 169, 128, 50, 18, 0, 1], [1, 1, 5, 107, 11, 275, 203, 155, 128, 64, 4, 6, 0], [1, 1, 5, 107, 12, 268, 224, 120, 163, 43, 11, 5, 0], [1, 1, 5, 107, 13, 261, 245, 85, 198, 22, 18, 4, 0], [1, 1, 5, 107, 14, 254, 266, 50, 233, 1, 25, 3, 0], [1, 1, 5, 108, 1, 316, 112, 274, 37, 99, 3, 2, 1], [1, 1, 5, 108, 2, 309, 133, 239, 72, 78, 10, 1, 1], [1, 1, 5, 108, 3, 302, 154, 204, 107, 57, 17, 0, 1], [1, 1, 5, 108, 4, 296, 168, 190, 107, 71, 3, 6, 0], [1, 1, 5, 108, 5, 289, 189, 155, 142, 50, 10, 5, 0], [1, 1, 5, 108, 6, 282, 210, 120, 177, 29, 17, 4, 0], [1, 1, 5, 108, 7, 275, 231, 85, 212, 8, 24, 3, 0], [1, 1, 5, 109, 0, 296, 196, 120, 191, 15, 23, 3, 0], [1, 1, 6, 90, 94, 84, 434, 22, 135, 91, 0, 0, 2], [1, 1, 6, 93, 77, 120, 406, 8, 177, 63, 4, 3, 1], [1, 1, 6, 94, 70, 141, 371, 43, 156, 70, 3, 3, 1], [1, 1, 6, 94, 71, 134, 392, 8, 191, 49, 10, 2, 1], [1, 1, 6, 95, 63, 162, 336, 78, 135, 77, 2, 3, 1], [1, 1, 6, 95, 64, 155, 357, 43, 170, 56, 9, 2, 1], [1, 1, 6, 95, 65, 148, 378, 8, 205, 35, 16, 1, 1], [1, 1, 6, 96, 56, 183, 301, 113, 114, 84, 1, 3, 1], [1, 1, 6, 96, 57, 176, 322, 78, 149, 63, 8, 2, 1], [1, 1, 6, 96, 58, 169, 343, 43, 184, 42, 15, 1, 1], [1, 1, 6, 96, 59, 162, 364, 8, 219, 21, 22, 0, 1], [1, 1, 6, 96, 59, 163, 357, 29, 184, 56, 1, 7, 0], [1, 1, 6, 97, 49, 204, 266, 148, 93, 91, 0, 3, 1], [1, 1, 6, 97, 50, 197, 287, 113, 128, 70, 7, 2, 1], [1, 1, 6, 97, 51, 190, 308, 78, 163, 49, 14, 1, 1], [1, 1, 6, 97, 52, 183, 329, 43, 198, 28, 21, 0, 1], [1, 1, 6, 97, 52, 184, 322, 64, 163, 63, 0, 7, 0], [1, 1, 6, 97, 53, 177, 343, 29, 198, 42, 7, 6, 0], [1, 1, 6, 98, 43, 218, 252, 148, 107, 77, 6, 2, 1], [1, 1, 6, 98, 44, 211, 273, 113, 142, 56, 13, 1, 1], [1, 1, 6, 98, 45, 204, 294, 78, 177, 35, 20, 0, 1], [1, 1, 6, 98, 46, 198, 308, 64, 177, 49, 6, 6, 0], [1, 1, 6, 98, 47, 191, 329, 29, 212, 28, 13, 5, 0], [1, 1, 6, 99, 36, 239, 217, 183, 86, 84, 5, 2, 1], [1, 1, 6, 99, 37, 232, 238, 148, 121, 63, 12, 1, 1], [1, 1, 6, 99, 38, 225, 259, 113, 156, 42, 19, 0, 1], [1, 1, 6, 99, 39, 219, 273, 99, 156, 56, 5, 6, 0], [1, 1, 6, 99, 40, 212, 294, 64, 191, 35, 12, 5, 0], [1, 1, 6, 99, 41, 205, 315, 29, 226, 14, 19, 4, 0], [1, 1, 6, 100, 29, 260, 182, 218, 65, 91, 4, 2, 1], [1, 1, 6, 100, 30, 253, 203, 183, 100, 70, 11, 1, 1], [1, 1, 6, 100, 31, 246, 224, 148, 135, 49, 18, 0, 1], [1, 1, 6, 100, 32, 240, 238, 134, 135, 63, 4, 6, 0], [1, 1, 6, 100, 33, 233, 259, 99, 170, 42, 11, 5, 0], [1, 1, 6, 100, 34, 226, 280, 64, 205, 21, 18, 4, 0], [1, 1, 6, 100, 35, 219, 301, 29, 240, 0, 25, 3, 0], [1, 1, 6, 101, 22, 281, 147, 253, 44, 98, 3, 2, 1], [1, 1, 6, 101, 23, 274, 168, 218, 79, 77, 10, 1, 1], [1, 1, 6, 101, 24, 267, 189, 183, 114, 56, 17, 0, 1], [1, 1, 6, 101, 25, 261, 203, 169, 114, 70, 3, 6, 0], [1, 1, 6, 101, 26, 254, 224, 134, 149, 49, 10, 5, 0], [1, 1, 6, 101, 27, 247, 245, 99, 184, 28, 17, 4, 0], [1, 1, 6, 101, 28, 240, 266, 64, 219, 7, 24, 3, 0], [1, 1, 6, 102, 15, 302, 112, 288, 23, 105, 2, 2, 1], [1, 1, 6, 102, 16, 295, 133, 253, 58, 84, 9, 1, 1], [1, 1, 6, 102, 17, 288, 154, 218, 93, 63, 16, 0, 1], [1, 1, 6, 102, 18, 282, 168, 204, 93, 77, 2, 6, 0], [1, 1, 6, 102, 19, 275, 189, 169, 128, 56, 9, 5, 0], [1, 1, 6, 102, 20, 268, 210, 134, 163, 35, 16, 4, 0], [1, 1, 6, 102, 21, 261, 231, 99, 198, 14, 23, 3, 0], [1, 1, 6, 103, 8, 323, 77, 323, 2, 112, 1, 2, 1], [1, 1, 6, 103, 9, 316, 98, 288, 37, 91, 8, 1, 1], [1, 1, 6, 103, 10, 309, 119, 253, 72, 70, 15, 0, 1], [1, 1, 6, 103, 11, 303, 133, 239, 72, 84, 1, 6, 0], [1, 1, 6, 103, 12, 296, 154, 204, 107, 63, 8, 5, 0], [1, 1, 6, 103, 13, 289, 175, 169, 142, 42, 15, 4, 0], [1, 1, 6, 103, 14, 282, 196, 134, 177, 21, 22, 3, 0], [1, 1, 6, 103, 15, 275, 217, 99, 212, 0, 29, 2, 0], [1, 1, 6, 104, 2, 337, 63, 323, 16, 98, 7, 1, 1], [1, 1, 6, 104, 3, 330, 84, 288, 51, 77, 14, 0, 1], [1, 1, 6, 104, 4, 324, 98, 274, 51, 91, 0, 6, 0], [1, 1, 6, 104, 5, 317, 119, 239, 86, 70, 7, 5, 0], [1, 1, 6, 104, 6, 310, 140, 204, 121, 49, 14, 4, 0], [1, 1, 6, 104, 7, 303, 161, 169, 156, 28, 21, 3, 0], [1, 1, 6, 104, 8, 296, 182, 134, 191, 7, 28, 2, 0], [1, 1, 6, 105, 0, 324, 126, 204, 135, 35, 20, 3, 0], [1, 1, 6, 105, 1, 317, 147, 169, 170, 14, 27, 2, 0], [1, 1, 7, 83, 115, 49, 469, 1, 142, 90, 0, 0, 2], [1, 1, 7, 87, 91, 106, 406, 22, 163, 69, 3, 3, 1], [1, 1, 7, 88, 84, 127, 371, 57, 142, 76, 2, 3, 1], [1, 1, 7, 88, 85, 120, 392, 22, 177, 55, 9, 2, 1], [1, 1, 7, 89, 77, 148, 336, 92, 121, 83, 1, 3, 1], [1, 1, 7, 89, 78, 141, 357, 57, 156, 62, 8, 2, 1], [1, 1, 7, 89, 79, 134, 378, 22, 191, 41, 15, 1, 1], [1, 1, 7, 89, 80, 128, 392, 8, 191, 55, 1, 7, 0], [1, 1, 7, 90, 70, 169, 301, 127, 100, 90, 0, 3, 1], [1, 1, 7, 90, 71, 162, 322, 92, 135, 69, 7, 2, 1], [1, 1, 7, 90, 72, 155, 343, 57, 170, 48, 14, 1, 1], [1, 1, 7, 90, 73, 148, 364, 22, 205, 27, 21, 0, 1], [1, 1, 7, 90, 73, 149, 357, 43, 170, 62, 0, 7, 0], [1, 1, 7, 90, 74, 142, 378, 8, 205, 41, 7, 6, 0], [1, 1, 7, 91, 64, 183, 287, 127, 114, 76, 6, 2, 1], [1, 1, 7, 91, 65, 176, 308, 92, 149, 55, 13, 1, 1], [1, 1, 7, 91, 66, 169, 329, 57, 184, 34, 20, 0, 1], [1, 1, 7, 91, 67, 163, 343, 43, 184, 48, 6, 6, 0], [1, 1, 7, 91, 68, 156, 364, 8, 219, 27, 13, 5, 0], [1, 1, 7, 92, 57, 204, 252, 162, 93, 83, 5, 2, 1], [1, 1, 7, 92, 58, 197, 273, 127, 128, 62, 12, 1, 1], [1, 1, 7, 92, 59, 190, 294, 92, 163, 41, 19, 0, 1], [1, 1, 7, 92, 60, 184, 308, 78, 163, 55, 5, 6, 0], [1, 1, 7, 92, 61, 177, 329, 43, 198, 34, 12, 5, 0], [1, 1, 7, 92, 62, 170, 350, 8, 233, 13, 19, 4, 0], [1, 1, 7, 93, 50, 225, 217, 197, 72, 90, 4, 2, 1], [1, 1, 7, 93, 51, 218, 238, 162, 107, 69, 11, 1, 1], [1, 1, 7, 93, 52, 211, 259, 127, 142, 48, 18, 0, 1], [1, 1, 7, 93, 53, 205, 273, 113, 142, 62, 4, 6, 0], [1, 1, 7, 93, 54, 198, 294, 78, 177, 41, 11, 5, 0], [1, 1, 7, 93, 55, 191, 315, 43, 212, 20, 18, 4, 0], [1, 1, 7, 94, 43, 246, 182, 232, 51, 97, 3, 2, 1], [1, 1, 7, 94, 44, 239, 203, 197, 86, 76, 10, 1, 1], [1, 1, 7, 94, 45, 232, 224, 162, 121, 55, 17, 0, 1], [1, 1, 7, 94, 46, 226, 238, 148, 121, 69, 3, 6, 0], [1, 1, 7, 94, 47, 219, 259, 113, 156, 48, 10, 5, 0], [1, 1, 7, 94, 48, 212, 280, 78, 191, 27, 17, 4, 0], [1, 1, 7, 94, 49, 205, 301, 43, 226, 6, 24, 3, 0], [1, 1, 7, 95, 36, 267, 147, 267, 30, 104, 2, 2, 1], [1, 1, 7, 95, 37, 260, 168, 232, 65, 83, 9, 1, 1], [1, 1, 7, 95, 38, 253, 189, 197, 100, 62, 16, 0, 1], [1, 1, 7, 95, 39, 247, 203, 183, 100, 76, 2, 6, 0], [1, 1, 7, 95, 40, 240, 224, 148, 135, 55, 9, 5, 0], [1, 1, 7, 95, 41, 233, 245, 113, 170, 34, 16, 4, 0], [1, 1, 7, 95, 42, 226, 266, 78, 205, 13, 23, 3, 0], [1, 1, 7, 96, 29, 288, 112, 302, 9, 111, 1, 2, 1], [1, 1, 7, 96, 30, 281, 133, 267, 44, 90, 8, 1, 1], [1, 1, 7, 96, 31, 274, 154, 232, 79, 69, 15, 0, 1], [1, 1, 7, 96, 32, 268, 168, 218, 79, 83, 1, 6, 0], [1, 1, 7, 96, 33, 261, 189, 183, 114, 62, 8, 5, 0], [1, 1, 7, 96, 34, 254, 210, 148, 149, 41, 15, 4, 0], [1, 1, 7, 96, 35, 247, 231, 113, 184, 20, 22, 3, 0], [1, 1, 7, 97, 23, 302, 98, 302, 23, 97, 7, 1, 1], [1, 1, 7, 97, 24, 295, 119, 267, 58, 76, 14, 0, 1], [1, 1, 7, 97, 25, 289, 133, 253, 58, 90, 0, 6, 0], [1, 1, 7, 97, 26, 282, 154, 218, 93, 69, 7, 5, 0], [1, 1, 7, 97, 27, 275, 175, 183, 128, 48, 14, 4, 0], [1, 1, 7, 97, 28, 268, 196, 148, 163, 27, 21, 3, 0], [1, 1, 7, 97, 29, 261, 217, 113, 198, 6, 28, 2, 0], [1, 1, 7, 98, 16, 323, 63, 337, 2, 104, 6, 1, 1], [1, 1, 7, 98, 17, 316, 84, 302, 37, 83, 13, 0, 1], [1, 1, 7, 98, 19, 303, 119, 253, 72, 76, 6, 5, 0], [1, 1, 7, 98, 20, 296, 140, 218, 107, 55, 13, 4, 0], [1, 1, 7, 98, 21, 289, 161, 183, 142, 34, 20, 3, 0], [1, 1, 7, 98, 22, 282, 182, 148, 177, 13, 27, 2, 0], [1, 1, 7, 99, 10, 337, 49, 337, 16, 90, 12, 0, 1], [1, 1, 7, 99, 12, 324, 84, 288, 51, 83, 5, 5, 0], [1, 1, 7, 99, 13, 317, 105, 253, 86, 62, 12, 4, 0], [1, 1, 7, 99, 14, 310, 126, 218, 121, 41, 19, 3, 0], [1, 1, 7, 99, 15, 303, 147, 183, 156, 20, 26, 2, 0], [1, 1, 7, 100, 5, 345, 49, 323, 30, 90, 4, 5, 0], [1, 1, 7, 100, 6, 338, 70, 288, 65, 69, 11, 4, 0], [1, 1, 7, 100, 7, 331, 91, 253, 100, 48, 18, 3, 0], [1, 1, 7, 100, 8, 324, 112, 218, 135, 27, 25, 2, 0], [1, 1, 7, 100, 9, 317, 133, 183, 170, 6, 32, 1, 0], [1, 1, 7, 101, 0, 352, 56, 288, 79, 55, 17, 3, 0], [1, 1, 7, 101, 1, 345, 77, 253, 114, 34, 24, 2, 0], [1, 1, 7, 101, 2, 338, 98, 218, 149, 13, 31, 1, 0], [1, 1, 8, 80, 112, 71, 441, 1, 170, 68, 3, 3, 1], [1, 1, 8, 81, 105, 92, 406, 36, 149, 75, 2, 3, 1], [1, 1, 8, 81, 106, 85, 427, 1, 184, 54, 9, 2, 1], [1, 1, 8, 82, 98, 113, 371, 71, 128, 82, 1, 3, 1], [1, 1, 8, 82, 99, 106, 392, 36, 163, 61, 8, 2, 1], [1, 1, 8, 82, 100, 99, 413, 1, 198, 40, 15, 1, 1], [1, 1, 8, 83, 91, 134, 336, 106, 107, 89, 0, 3, 1], [1, 1, 8, 83, 92, 127, 357, 71, 142, 68, 7, 2, 1], [1, 1, 8, 83, 93, 120, 378, 36, 177, 47, 14, 1, 1], [1, 1, 8, 83, 94, 113, 399, 1, 212, 26, 21, 0, 1], [1, 1, 8, 83, 94, 114, 392, 22, 177, 61, 0, 7, 0], [1, 1, 8, 84, 85, 148, 322, 106, 121, 75, 6, 2, 1], [1, 1, 8, 84, 86, 141, 343, 71, 156, 54, 13, 1, 1], [1, 1, 8, 84, 87, 134, 364, 36, 191, 33, 20, 0, 1], [1, 1, 8, 84, 88, 128, 378, 22, 191, 47, 6, 6, 0], [1, 1, 8, 85, 78, 169, 287, 141, 100, 82, 5, 2, 1], [1, 1, 8, 85, 79, 162, 308, 106, 135, 61, 12, 1, 1], [1, 1, 8, 85, 80, 155, 329, 71, 170, 40, 19, 0, 1], [1, 1, 8, 85, 81, 149, 343, 57, 170, 54, 5, 6, 0], [1, 1, 8, 85, 82, 142, 364, 22, 205, 33, 12, 5, 0], [1, 1, 8, 86, 71, 190, 252, 176, 79, 89, 4, 2, 1], [1, 1, 8, 86, 72, 183, 273, 141, 114, 68, 11, 1, 1], [1, 1, 8, 86, 73, 176, 294, 106, 149, 47, 18, 0, 1], [1, 1, 8, 86, 74, 170, 308, 92, 149, 61, 4, 6, 0], [1, 1, 8, 86, 75, 163, 329, 57, 184, 40, 11, 5, 0], [1, 1, 8, 86, 76, 156, 350, 22, 219, 19, 18, 4, 0], [1, 1, 8, 87, 64, 211, 217, 211, 58, 96, 3, 2, 1], [1, 1, 8, 87, 65, 204, 238, 176, 93, 75, 10, 1, 1], [1, 1, 8, 87, 66, 197, 259, 141, 128, 54, 17, 0, 1], [1, 1, 8, 87, 67, 191, 273, 127, 128, 68, 3, 6, 0], [1, 1, 8, 87, 68, 184, 294, 92, 163, 47, 10, 5, 0], [1, 1, 8, 87, 69, 177, 315, 57, 198, 26, 17, 4, 0], [1, 1, 8, 87, 70, 170, 336, 22, 233, 5, 24, 3, 0], [1, 1, 8, 88, 57, 232, 182, 246, 37, 103, 2, 2, 1], [1, 1, 8, 88, 58, 225, 203, 211, 72, 82, 9, 1, 1], [1, 1, 8, 88, 59, 218, 224, 176, 107, 61, 16, 0, 1], [1, 1, 8, 88, 60, 212, 238, 162, 107, 75, 2, 6, 0], [1, 1, 8, 88, 61, 205, 259, 127, 142, 54, 9, 5, 0], [1, 1, 8, 88, 62, 198, 280, 92, 177, 33, 16, 4, 0], [1, 1, 8, 88, 63, 191, 301, 57, 212, 12, 23, 3, 0], [1, 1, 8, 89, 50, 253, 147, 281, 16, 110, 1, 2, 1], [1, 1, 8, 89, 51, 246, 168, 246, 51, 89, 8, 1, 1], [1, 1, 8, 89, 52, 239, 189, 211, 86, 68, 15, 0, 1], [1, 1, 8, 89, 53, 233, 203, 197, 86, 82, 1, 6, 0], [1, 1, 8, 89, 54, 226, 224, 162, 121, 61, 8, 5, 0], [1, 1, 8, 89, 55, 219, 245, 127, 156, 40, 15, 4, 0], [1, 1, 8, 89, 56, 212, 266, 92, 191, 19, 22, 3, 0], [1, 1, 8, 90, 44, 267, 133, 281, 30, 96, 7, 1, 1], [1, 1, 8, 90, 45, 260, 154, 246, 65, 75, 14, 0, 1], [1, 1, 8, 90, 46, 254, 168, 232, 65, 89, 0, 6, 0], [1, 1, 8, 90, 47, 247, 189, 197, 100, 68, 7, 5, 0], [1, 1, 8, 90, 48, 240, 210, 162, 135, 47, 14, 4, 0], [1, 1, 8, 90, 49, 233, 231, 127, 170, 26, 21, 3, 0], [1, 1, 8, 90, 50, 226, 252, 92, 205, 5, 28, 2, 0], [1, 1, 8, 91, 37, 288, 98, 316, 9, 103, 6, 1, 1], [1, 1, 8, 91, 38, 281, 119, 281, 44, 82, 13, 0, 1], [1, 1, 8, 91, 40, 268, 154, 232, 79, 75, 6, 5, 0], [1, 1, 8, 91, 41, 261, 175, 197, 114, 54, 13, 4, 0], [1, 1, 8, 91, 42, 254, 196, 162, 149, 33, 20, 3, 0], [1, 1, 8, 91, 43, 247, 217, 127, 184, 12, 27, 2, 0], [1, 1, 8, 92, 31, 302, 84, 316, 23, 89, 12, 0, 1], [1, 1, 8, 92, 33, 289, 119, 267, 58, 82, 5, 5, 0], [1, 1, 8, 92, 34, 282, 140, 232, 93, 61, 12, 4, 0], [1, 1, 8, 92, 35, 275, 161, 197, 128, 40, 19, 3, 0], [1, 1, 8, 92, 36, 268, 182, 162, 163, 19, 26, 2, 0], [1, 1, 8, 93, 24, 323, 49, 351, 2, 96, 11, 0, 1], [1, 1, 8, 93, 26, 310, 84, 302, 37, 89, 4, 5, 0], [1, 1, 8, 93, 27, 303, 105, 267, 72, 68, 11, 4, 0], [1, 1, 8, 93, 28, 296, 126, 232, 107, 47, 18, 3, 0], [1, 1, 8, 93, 29, 289, 147, 197, 142, 26, 25, 2, 0], [1, 1, 8, 93, 30, 282, 168, 162, 177, 5, 32, 1, 0], [1, 1, 8, 94, 19, 331, 49, 337, 16, 96, 3, 5, 0], [1, 1, 8, 94, 20, 324, 70, 302, 51, 75, 10, 4, 0], [1, 1, 8, 94, 21, 317, 91, 267, 86, 54, 17, 3, 0], [1, 1, 8, 94, 22, 310, 112, 232, 121, 33, 24, 2, 0], [1, 1, 8, 94, 23, 303, 133, 197, 156, 12, 31, 1, 0], [1, 1, 8, 95, 13, 345, 35, 337, 30, 82, 9, 4, 0], [1, 1, 8, 95, 14, 338, 56, 302, 65, 61, 16, 3, 0], [1, 1, 8, 95, 15, 331, 77, 267, 100, 40, 23, 2, 0], [1, 1, 8, 95, 16, 324, 98, 232, 135, 19, 30, 1, 0], [1, 1, 8, 96, 6, 366, 0, 372, 9, 89, 8, 4, 0], [1, 1, 8, 96, 7, 359, 21, 337, 44, 68, 15, 3, 0], [1, 1, 8, 96, 8, 352, 42, 302, 79, 47, 22, 2, 0], [1, 1, 8, 96, 9, 345, 63, 267, 114, 26, 29, 1, 0], [1, 1, 8, 96, 10, 338, 84, 232, 149, 5, 36, 0, 0], [1, 1, 8, 97, 1, 373, 7, 337, 58, 54, 21, 2, 0], [1, 1, 8, 97, 2, 366, 28, 302, 93, 33, 28, 1, 0], [1, 1, 8, 97, 3, 359, 49, 267, 128, 12, 35, 0, 0], [1, 1, 9, 74, 126, 57, 441, 15, 156, 74, 2, 3, 1], [1, 1, 9, 75, 119, 78, 406, 50, 135, 81, 1, 3, 1], [1, 1, 9, 75, 120, 71, 427, 15, 170, 60, 8, 2, 1], [1, 1, 9, 76, 112, 99, 371, 85, 114, 88, 0, 3, 1], [1, 1, 9, 76, 113, 92, 392, 50, 149, 67, 7, 2, 1], [1, 1, 9, 76, 114, 85, 413, 15, 184, 46, 14, 1, 1], [1, 1, 9, 76, 115, 79, 427, 1, 184, 60, 0, 7, 0], [1, 1, 9, 77, 106, 113, 357, 85, 128, 74, 6, 2, 1], [1, 1, 9, 77, 107, 106, 378, 50, 163, 53, 13, 1, 1], [1, 1, 9, 77, 108, 99, 399, 15, 198, 32, 20, 0, 1], [1, 1, 9, 77, 109, 93, 413, 1, 198, 46, 6, 6, 0], [1, 1, 9, 78, 99, 134, 322, 120, 107, 81, 5, 2, 1], [1, 1, 9, 78, 100, 127, 343, 85, 142, 60, 12, 1, 1], [1, 1, 9, 78, 101, 120, 364, 50, 177, 39, 19, 0, 1], [1, 1, 9, 78, 102, 114, 378, 36, 177, 53, 5, 6, 0], [1, 1, 9, 78, 103, 107, 399, 1, 212, 32, 12, 5, 0], [1, 1, 9, 79, 92, 155, 287, 155, 86, 88, 4, 2, 1], [1, 1, 9, 79, 93, 148, 308, 120, 121, 67, 11, 1, 1], [1, 1, 9, 79, 94, 141, 329, 85, 156, 46, 18, 0, 1], [1, 1, 9, 79, 95, 135, 343, 71, 156, 60, 4, 6, 0], [1, 1, 9, 79, 96, 128, 364, 36, 191, 39, 11, 5, 0], [1, 1, 9, 79, 97, 121, 385, 1, 226, 18, 18, 4, 0], [1, 1, 9, 80, 85, 176, 252, 190, 65, 95, 3, 2, 1], [1, 1, 9, 80, 86, 169, 273, 155, 100, 74, 10, 1, 1], [1, 1, 9, 80, 87, 162, 294, 120, 135, 53, 17, 0, 1], [1, 1, 9, 80, 88, 156, 308, 106, 135, 67, 3, 6, 0], [1, 1, 9, 80, 89, 149, 329, 71, 170, 46, 10, 5, 0], [1, 1, 9, 80, 90, 142, 350, 36, 205, 25, 17, 4, 0], [1, 1, 9, 80, 91, 135, 371, 1, 240, 4, 24, 3, 0], [1, 1, 9, 81, 78, 197, 217, 225, 44, 102, 2, 2, 1], [1, 1, 9, 81, 79, 190, 238, 190, 79, 81, 9, 1, 1], [1, 1, 9, 81, 80, 183, 259, 155, 114, 60, 16, 0, 1], [1, 1, 9, 81, 81, 177, 273, 141, 114, 74, 2, 6, 0], [1, 1, 9, 81, 82, 170, 294, 106, 149, 53, 9, 5, 0], [1, 1, 9, 81, 83, 163, 315, 71, 184, 32, 16, 4, 0], [1, 1, 9, 81, 84, 156, 336, 36, 219, 11, 23, 3, 0], [1, 1, 9, 82, 71, 218, 182, 260, 23, 109, 1, 2, 1], [1, 1, 9, 82, 72, 211, 203, 225, 58, 88, 8, 1, 1], [1, 1, 9, 82, 73, 204, 224, 190, 93, 67, 15, 0, 1], [1, 1, 9, 82, 74, 198, 238, 176, 93, 81, 1, 6, 0], [1, 1, 9, 82, 75, 191, 259, 141, 128, 60, 8, 5, 0], [1, 1, 9, 82, 76, 184, 280, 106, 163, 39, 15, 4, 0], [1, 1, 9, 82, 77, 177, 301, 71, 198, 18, 22, 3, 0], [1, 1, 9, 83, 64, 239, 147, 295, 2, 116, 0, 2, 1], [1, 1, 9, 83, 65, 232, 168, 260, 37, 95, 7, 1, 1], [1, 1, 9, 83, 66, 225, 189, 225, 72, 74, 14, 0, 1], [1, 1, 9, 83, 67, 219, 203, 211, 72, 88, 0, 6, 0], [1, 1, 9, 83, 68, 212, 224, 176, 107, 67, 7, 5, 0], [1, 1, 9, 83, 69, 205, 245, 141, 142, 46, 14, 4, 0], [1, 1, 9, 83, 70, 198, 266, 106, 177, 25, 21, 3, 0], [1, 1, 9, 83, 71, 191, 287, 71, 212, 4, 28, 2, 0], [1, 1, 9, 84, 58, 253, 133, 295, 16, 102, 6, 1, 1], [1, 1, 9, 84, 59, 246, 154, 260, 51, 81, 13, 0, 1], [1, 1, 9, 84, 61, 233, 189, 211, 86, 74, 6, 5, 0], [1, 1, 9, 84, 62, 226, 210, 176, 121, 53, 13, 4, 0], [1, 1, 9, 84, 63, 219, 231, 141, 156, 32, 20, 3, 0], [1, 1, 9, 84, 64, 212, 252, 106, 191, 11, 27, 2, 0], [1, 1, 9, 85, 52, 267, 119, 295, 30, 88, 12, 0, 1], [1, 1, 9, 85, 54, 254, 154, 246, 65, 81, 5, 5, 0], [1, 1, 9, 85, 55, 247, 175, 211, 100, 60, 12, 4, 0], [1, 1, 9, 85, 56, 240, 196, 176, 135, 39, 19, 3, 0], [1, 1, 9, 85, 57, 233, 217, 141, 170, 18, 26, 2, 0], [1, 1, 9, 86, 45, 288, 84, 330, 9, 95, 11, 0, 1], [1, 1, 9, 86, 47, 275, 119, 281, 44, 88, 4, 5, 0], [1, 1, 9, 86, 48, 268, 140, 246, 79, 67, 11, 4, 0], [1, 1, 9, 86, 49, 261, 161, 211, 114, 46, 18, 3, 0], [1, 1, 9, 86, 50, 254, 182, 176, 149, 25, 25, 2, 0], [1, 1, 9, 86, 51, 247, 203, 141, 184, 4, 32, 1, 0], [1, 1, 9, 87, 40, 296, 84, 316, 23, 95, 3, 5, 0], [1, 1, 9, 87, 41, 289, 105, 281, 58, 74, 10, 4, 0], [1, 1, 9, 87, 42, 282, 126, 246, 93, 53, 17, 3, 0], [1, 1, 9, 87, 43, 275, 147, 211, 128, 32, 24, 2, 0], [1, 1, 9, 87, 44, 268, 168, 176, 163, 11, 31, 1, 0], [1, 1, 9, 88, 33, 317, 49, 351, 2, 102, 2, 5, 0], [1, 1, 9, 88, 34, 310, 70, 316, 37, 81, 9, 4, 0], [1, 1, 9, 88, 35, 303, 91, 281, 72, 60, 16, 3, 0], [1, 1, 9, 88, 36, 296, 112, 246, 107, 39, 23, 2, 0], [1, 1, 9, 88, 37, 289, 133, 211, 142, 18, 30, 1, 0], [1, 1, 9, 89, 27, 331, 35, 351, 16, 88, 8, 4, 0], [1, 1, 9, 89, 28, 324, 56, 316, 51, 67, 15, 3, 0], [1, 1, 9, 89, 29, 317, 77, 281, 86, 46, 22, 2, 0], [1, 1, 9, 89, 30, 310, 98, 246, 121, 25, 29, 1, 0], [1, 1, 9, 89, 31, 303, 119, 211, 156, 4, 36, 0, 0], [1, 1, 9, 90, 21, 345, 21, 351, 30, 74, 14, 3, 0], [1, 1, 9, 90, 22, 338, 42, 316, 65, 53, 21, 2, 0], [1, 1, 9, 90, 23, 331, 63, 281, 100, 32, 28, 1, 0], [1, 1, 9, 90, 24, 324, 84, 246, 135, 11, 35, 0, 0], [1, 1, 9, 91, 15, 359, 7, 351, 44, 60, 20, 2, 0], [1, 1, 9, 91, 16, 352, 28, 316, 79, 39, 27, 1, 0], [1, 1, 9, 91, 17, 345, 49, 281, 114, 18, 34, 0, 0], [1, 1, 9, 92, 10, 366, 14, 316, 93, 25, 33, 0, 0], [1, 1, 10, 68, 140, 43, 441, 29, 142, 80, 1, 3, 1], [1, 1, 10, 69, 133, 64, 406, 64, 121, 87, 0, 3, 1], [1, 1, 10, 69, 134, 57, 427, 29, 156, 66, 7, 2, 1], [1, 1, 10, 70, 127, 78, 392, 64, 135, 73, 6, 2, 1], [1, 1, 10, 70, 128, 71, 413, 29, 170, 52, 13, 1, 1], [1, 1, 10, 71, 120, 99, 357, 99, 114, 80, 5, 2, 1], [1, 1, 10, 71, 121, 92, 378, 64, 149, 59, 12, 1, 1], [1, 1, 10, 71, 122, 85, 399, 29, 184, 38, 19, 0, 1], [1, 1, 10, 71, 123, 79, 413, 15, 184, 52, 5, 6, 0], [1, 1, 10, 72, 113, 120, 322, 134, 93, 87, 4, 2, 1], [1, 1, 10, 72, 114, 113, 343, 99, 128, 66, 11, 1, 1], [1, 1, 10, 72, 115, 106, 364, 64, 163, 45, 18, 0, 1], [1, 1, 10, 72, 116, 100, 378, 50, 163, 59, 4, 6, 0], [1, 1, 10, 72, 117, 93, 399, 15, 198, 38, 11, 5, 0], [1, 1, 10, 73, 106, 141, 287, 169, 72, 94, 3, 2, 1], [1, 1, 10, 73, 107, 134, 308, 134, 107, 73, 10, 1, 1], [1, 1, 10, 73, 108, 127, 329, 99, 142, 52, 17, 0, 1], [1, 1, 10, 73, 109, 121, 343, 85, 142, 66, 3, 6, 0], [1, 1, 10, 73, 110, 114, 364, 50, 177, 45, 10, 5, 0], [1, 1, 10, 73, 111, 107, 385, 15, 212, 24, 17, 4, 0], [1, 1, 10, 74, 99, 162, 252, 204, 51, 101, 2, 2, 1], [1, 1, 10, 74, 100, 155, 273, 169, 86, 80, 9, 1, 1], [1, 1, 10, 74, 101, 148, 294, 134, 121, 59, 16, 0, 1], [1, 1, 10, 74, 102, 142, 308, 120, 121, 73, 2, 6, 0], [1, 1, 10, 74, 103, 135, 329, 85, 156, 52, 9, 5, 0], [1, 1, 10, 74, 104, 128, 350, 50, 191, 31, 16, 4, 0], [1, 1, 10, 74, 105, 121, 371, 15, 226, 10, 23, 3, 0], [1, 1, 10, 75, 92, 183, 217, 239, 30, 108, 1, 2, 1], [1, 1, 10, 75, 93, 176, 238, 204, 65, 87, 8, 1, 1], [1, 1, 10, 75, 94, 169, 259, 169, 100, 66, 15, 0, 1], [1, 1, 10, 75, 95, 163, 273, 155, 100, 80, 1, 6, 0], [1, 1, 10, 75, 96, 156, 294, 120, 135, 59, 8, 5, 0], [1, 1, 10, 75, 97, 149, 315, 85, 170, 38, 15, 4, 0], [1, 1, 10, 75, 98, 142, 336, 50, 205, 17, 22, 3, 0], [1, 1, 10, 76, 85, 204, 182, 274, 9, 115, 0, 2, 1], [1, 1, 10, 76, 86, 197, 203, 239, 44, 94, 7, 1, 1], [1, 1, 10, 76, 87, 190, 224, 204, 79, 73, 14, 0, 1], [1, 1, 10, 76, 88, 184, 238, 190, 79, 87, 0, 6, 0], [1, 1, 10, 76, 89, 177, 259, 155, 114, 66, 7, 5, 0], [1, 1, 10, 76, 90, 170, 280, 120, 149, 45, 14, 4, 0], [1, 1, 10, 76, 91, 163, 301, 85, 184, 24, 21, 3, 0], [1, 1, 10, 76, 92, 156, 322, 50, 219, 3, 28, 2, 0], [1, 1, 10, 77, 79, 218, 168, 274, 23, 101, 6, 1, 1], [1, 1, 10, 77, 80, 211, 189, 239, 58, 80, 13, 0, 1], [1, 1, 10, 77, 82, 198, 224, 190, 93, 73, 6, 5, 0], [1, 1, 10, 77, 83, 191, 245, 155, 128, 52, 13, 4, 0], [1, 1, 10, 77, 84, 184, 266, 120, 163, 31, 20, 3, 0], [1, 1, 10, 77, 85, 177, 287, 85, 198, 10, 27, 2, 0], [1, 1, 10, 78, 72, 239, 133, 309, 2, 108, 5, 1, 1], [1, 1, 10, 78, 73, 232, 154, 274, 37, 87, 12, 0, 1], [1, 1, 10, 78, 75, 219, 189, 225, 72, 80, 5, 5, 0], [1, 1, 10, 78, 76, 212, 210, 190, 107, 59, 12, 4, 0], [1, 1, 10, 78, 77, 205, 231, 155, 142, 38, 19, 3, 0], [1, 1, 10, 78, 78, 198, 252, 120, 177, 17, 26, 2, 0], [1, 1, 10, 79, 66, 253, 119, 309, 16, 94, 11, 0, 1], [1, 1, 10, 79, 68, 240, 154, 260, 51, 87, 4, 5, 0], [1, 1, 10, 79, 69, 233, 175, 225, 86, 66, 11, 4, 0], [1, 1, 10, 79, 70, 226, 196, 190, 121, 45, 18, 3, 0], [1, 1, 10, 79, 71, 219, 217, 155, 156, 24, 25, 2, 0], [1, 1, 10, 79, 72, 212, 238, 120, 191, 3, 32, 1, 0], [1, 1, 10, 80, 61, 261, 119, 295, 30, 94, 3, 5, 0], [1, 1, 10, 80, 62, 254, 140, 260, 65, 73, 10, 4, 0], [1, 1, 10, 80, 63, 247, 161, 225, 100, 52, 17, 3, 0], [1, 1, 10, 80, 64, 240, 182, 190, 135, 31, 24, 2, 0], [1, 1, 10, 80, 65, 233, 203, 155, 170, 10, 31, 1, 0], [1, 1, 10, 81, 54, 282, 84, 330, 9, 101, 2, 5, 0], [1, 1, 10, 81, 55, 275, 105, 295, 44, 80, 9, 4, 0], [1, 1, 10, 81, 56, 268, 126, 260, 79, 59, 16, 3, 0], [1, 1, 10, 81, 57, 261, 147, 225, 114, 38, 23, 2, 0], [1, 1, 10, 81, 58, 254, 168, 190, 149, 17, 30, 1, 0], [1, 1, 10, 82, 48, 296, 70, 330, 23, 87, 8, 4, 0], [1, 1, 10, 82, 49, 289, 91, 295, 58, 66, 15, 3, 0], [1, 1, 10, 82, 50, 282, 112, 260, 93, 45, 22, 2, 0], [1, 1, 10, 82, 51, 275, 133, 225, 128, 24, 29, 1, 0], [1, 1, 10, 82, 52, 268, 154, 190, 163, 3, 36, 0, 0], [1, 1, 10, 83, 41, 317, 35, 365, 2, 94, 7, 4, 0], [1, 1, 10, 83, 42, 310, 56, 330, 37, 73, 14, 3, 0], [1, 1, 10, 83, 43, 303, 77, 295, 72, 52, 21, 2, 0], [1, 1, 10, 83, 44, 296, 98, 260, 107, 31, 28, 1, 0], [1, 1, 10, 83, 45, 289, 119, 225, 142, 10, 35, 0, 0], [1, 1, 10, 84, 35, 331, 21, 365, 16, 80, 13, 3, 0], [1, 1, 10, 84, 36, 324, 42, 330, 51, 59, 20, 2, 0], [1, 1, 10, 84, 37, 317, 63, 295, 86, 38, 27, 1, 0], [1, 1, 10, 84, 38, 310, 84, 260, 121, 17, 34, 0, 0], [1, 1, 10, 85, 29, 345, 7, 365, 30, 66, 19, 2, 0], [1, 1, 10, 85, 30, 338, 28, 330, 65, 45, 26, 1, 0], [1, 1, 10, 85, 31, 331, 49, 295, 100, 24, 33, 0, 0], [1, 1, 10, 86, 24, 352, 14, 330, 79, 31, 32, 0, 0], [1, 1, 11, 61, 161, 8, 476, 8, 149, 79, 1, 3, 1], [1, 1, 11, 62, 154, 29, 441, 43, 128, 86, 0, 3, 1], [1, 1, 11, 62, 155, 22, 462, 8, 163, 65, 7, 2, 1], [1, 1, 11, 63, 148, 43, 427, 43, 142, 72, 6, 2, 1], [1, 1, 11, 63, 149, 36, 448, 8, 177, 51, 13, 1, 1], [1, 1, 11, 64, 141, 64, 392, 78, 121, 79, 5, 2, 1], [1, 1, 11, 64, 142, 57, 413, 43, 156, 58, 12, 1, 1], [1, 1, 11, 64, 143, 50, 434, 8, 191, 37, 19, 0, 1], [1, 1, 11, 65, 134, 85, 357, 113, 100, 86, 4, 2, 1], [1, 1, 11, 65, 135, 78, 378, 78, 135, 65, 11, 1, 1], [1, 1, 11, 65, 136, 71, 399, 43, 170, 44, 18, 0, 1], [1, 1, 11, 65, 137, 65, 413, 29, 170, 58, 4, 6, 0], [1, 1, 11, 66, 127, 106, 322, 148, 79, 93, 3, 2, 1], [1, 1, 11, 66, 128, 99, 343, 113, 114, 72, 10, 1, 1], [1, 1, 11, 66, 129, 92, 364, 78, 149, 51, 17, 0, 1], [1, 1, 11, 66, 130, 86, 378, 64, 149, 65, 3, 6, 0], [1, 1, 11, 66, 131, 79, 399, 29, 184, 44, 10, 5, 0], [1, 1, 11, 67, 120, 127, 287, 183, 58, 100, 2, 2, 1], [1, 1, 11, 67, 121, 120, 308, 148, 93, 79, 9, 1, 1], [1, 1, 11, 67, 122, 113, 329, 113, 128, 58, 16, 0, 1], [1, 1, 11, 67, 123, 107, 343, 99, 128, 72, 2, 6, 0], [1, 1, 11, 67, 124, 100, 364, 64, 163, 51, 9, 5, 0], [1, 1, 11, 67, 125, 93, 385, 29, 198, 30, 16, 4, 0], [1, 1, 11, 68, 113, 148, 252, 218, 37, 107, 1, 2, 1], [1, 1, 11, 68, 114, 141, 273, 183, 72, 86, 8, 1, 1], [1, 1, 11, 68, 115, 134, 294, 148, 107, 65, 15, 0, 1], [1, 1, 11, 68, 116, 128, 308, 134, 107, 79, 1, 6, 0], [1, 1, 11, 68, 117, 121, 329, 99, 142, 58, 8, 5, 0], [1, 1, 11, 68, 118, 114, 350, 64, 177, 37, 15, 4, 0], [1, 1, 11, 68, 119, 107, 371, 29, 212, 16, 22, 3, 0], [1, 1, 11, 69, 106, 169, 217, 253, 16, 114, 0, 2, 1], [1, 1, 11, 69, 107, 162, 238, 218, 51, 93, 7, 1, 1], [1, 1, 11, 69, 108, 155, 259, 183, 86, 72, 14, 0, 1], [1, 1, 11, 69, 109, 149, 273, 169, 86, 86, 0, 6, 0], [1, 1, 11, 69, 110, 142, 294, 134, 121, 65, 7, 5, 0], [1, 1, 11, 69, 111, 135, 315, 99, 156, 44, 14, 4, 0], [1, 1, 11, 69, 112, 128, 336, 64, 191, 23, 21, 3, 0], [1, 1, 11, 69, 113, 121, 357, 29, 226, 2, 28, 2, 0], [1, 1, 11, 70, 100, 183, 203, 253, 30, 100, 6, 1, 1], [1, 1, 11, 70, 101, 176, 224, 218, 65, 79, 13, 0, 1], [1, 1, 11, 70, 103, 163, 259, 169, 100, 72, 6, 5, 0], [1, 1, 11, 70, 104, 156, 280, 134, 135, 51, 13, 4, 0], [1, 1, 11, 70, 105, 149, 301, 99, 170, 30, 20, 3, 0], [1, 1, 11, 70, 106, 142, 322, 64, 205, 9, 27, 2, 0], [1, 1, 11, 71, 93, 204, 168, 288, 9, 107, 5, 1, 1], [1, 1, 11, 71, 94, 197, 189, 253, 44, 86, 12, 0, 1], [1, 1, 11, 71, 96, 184, 224, 204, 79, 79, 5, 5, 0], [1, 1, 11, 71, 97, 177, 245, 169, 114, 58, 12, 4, 0], [1, 1, 11, 71, 98, 170, 266, 134, 149, 37, 19, 3, 0], [1, 1, 11, 71, 99, 163, 287, 99, 184, 16, 26, 2, 0], [1, 1, 11, 72, 87, 218, 154, 288, 23, 93, 11, 0, 1], [1, 1, 11, 72, 89, 205, 189, 239, 58, 86, 4, 5, 0], [1, 1, 11, 72, 90, 198, 210, 204, 93, 65, 11, 4, 0], [1, 1, 11, 72, 91, 191, 231, 169, 128, 44, 18, 3, 0], [1, 1, 11, 72, 92, 184, 252, 134, 163, 23, 25, 2, 0], [1, 1, 11, 72, 93, 177, 273, 99, 198, 2, 32, 1, 0], [1, 1, 11, 73, 80, 239, 119, 323, 2, 100, 10, 0, 1], [1, 1, 11, 73, 82, 226, 154, 274, 37, 93, 3, 5, 0], [1, 1, 11, 73, 83, 219, 175, 239, 72, 72, 10, 4, 0], [1, 1, 11, 73, 84, 212, 196, 204, 107, 51, 17, 3, 0], [1, 1, 11, 73, 85, 205, 217, 169, 142, 30, 24, 2, 0], [1, 1, 11, 73, 86, 198, 238, 134, 177, 9, 31, 1, 0], [1, 1, 11, 74, 75, 247, 119, 309, 16, 100, 2, 5, 0], [1, 1, 11, 74, 76, 240, 140, 274, 51, 79, 9, 4, 0], [1, 1, 11, 74, 77, 233, 161, 239, 86, 58, 16, 3, 0], [1, 1, 11, 74, 78, 226, 182, 204, 121, 37, 23, 2, 0], [1, 1, 11, 74, 79, 219, 203, 169, 156, 16, 30, 1, 0], [1, 1, 11, 75, 69, 261, 105, 309, 30, 86, 8, 4, 0], [1, 1, 11, 75, 70, 254, 126, 274, 65, 65, 15, 3, 0], [1, 1, 11, 75, 71, 247, 147, 239, 100, 44, 22, 2, 0], [1, 1, 11, 75, 72, 240, 168, 204, 135, 23, 29, 1, 0], [1, 1, 11, 75, 73, 233, 189, 169, 170, 2, 36, 0, 0], [1, 1, 11, 76, 62, 282, 70, 344, 9, 93, 7, 4, 0], [1, 1, 11, 76, 63, 275, 91, 309, 44, 72, 14, 3, 0], [1, 1, 11, 76, 64, 268, 112, 274, 79, 51, 21, 2, 0], [1, 1, 11, 76, 65, 261, 133, 239, 114, 30, 28, 1, 0], [1, 1, 11, 76, 66, 254, 154, 204, 149, 9, 35, 0, 0], [1, 1, 11, 77, 56, 296, 56, 344, 23, 79, 13, 3, 0], [1, 1, 11, 77, 57, 289, 77, 309, 58, 58, 20, 2, 0], [1, 1, 11, 77, 58, 282, 98, 274, 93, 37, 27, 1, 0], [1, 1, 11, 77, 59, 275, 119, 239, 128, 16, 34, 0, 0], [1, 1, 11, 78, 49, 317, 21, 379, 2, 86, 12, 3, 0], [1, 1, 11, 78, 50, 310, 42, 344, 37, 65, 19, 2, 0], [1, 1, 11, 78, 51, 303, 63, 309, 72, 44, 26, 1, 0], [1, 1, 11, 78, 52, 296, 84, 274, 107, 23, 33, 0, 0], [1, 1, 11, 79, 43, 331, 7, 379, 16, 72, 18, 2, 0], [1, 1, 11, 79, 44, 324, 28, 344, 51, 51, 25, 1, 0], [1, 1, 11, 79, 45, 317, 49, 309, 86, 30, 32, 0, 0], [1, 1, 11, 80, 38, 338, 14, 344, 65, 37, 31, 0, 0], [1, 1, 12, 56, 169, 8, 462, 22, 149, 71, 6, 2, 1], [1, 1, 12, 57, 162, 29, 427, 57, 128, 78, 5, 2, 1], [1, 1, 12, 57, 163, 22, 448, 22, 163, 57, 12, 1, 1], [1, 1, 12, 58, 155, 50, 392, 92, 107, 85, 4, 2, 1], [1, 1, 12, 58, 156, 43, 413, 57, 142, 64, 11, 1, 1], [1, 1, 12, 58, 157, 36, 434, 22, 177, 43, 18, 0, 1], [1, 1, 12, 58, 158, 30, 448, 8, 177, 57, 4, 6, 0], [1, 1, 12, 59, 148, 71, 357, 127, 86, 92, 3, 2, 1], [1, 1, 12, 59, 149, 64, 378, 92, 121, 71, 10, 1, 1], [1, 1, 12, 59, 150, 57, 399, 57, 156, 50, 17, 0, 1], [1, 1, 12, 59, 151, 51, 413, 43, 156, 64, 3, 6, 0], [1, 1, 12, 59, 152, 44, 434, 8, 191, 43, 10, 5, 0], [1, 1, 12, 60, 141, 92, 322, 162, 65, 99, 2, 2, 1], [1, 1, 12, 60, 142, 85, 343, 127, 100, 78, 9, 1, 1], [1, 1, 12, 60, 143, 78, 364, 92, 135, 57, 16, 0, 1], [1, 1, 12, 60, 144, 72, 378, 78, 135, 71, 2, 6, 0], [1, 1, 12, 60, 145, 65, 399, 43, 170, 50, 9, 5, 0], [1, 1, 12, 60, 146, 58, 420, 8, 205, 29, 16, 4, 0], [1, 1, 12, 61, 134, 113, 287, 197, 44, 106, 1, 2, 1], [1, 1, 12, 61, 135, 106, 308, 162, 79, 85, 8, 1, 1], [1, 1, 12, 61, 136, 99, 329, 127, 114, 64, 15, 0, 1], [1, 1, 12, 61, 137, 93, 343, 113, 114, 78, 1, 6, 0], [1, 1, 12, 61, 138, 86, 364, 78, 149, 57, 8, 5, 0], [1, 1, 12, 61, 139, 79, 385, 43, 184, 36, 15, 4, 0], [1, 1, 12, 61, 140, 72, 406, 8, 219, 15, 22, 3, 0], [1, 1, 12, 62, 127, 134, 252, 232, 23, 113, 0, 2, 1], [1, 1, 12, 62, 128, 127, 273, 197, 58, 92, 7, 1, 1], [1, 1, 12, 62, 129, 120, 294, 162, 93, 71, 14, 0, 1], [1, 1, 12, 62, 130, 114, 308, 148, 93, 85, 0, 6, 0], [1, 1, 12, 62, 131, 107, 329, 113, 128, 64, 7, 5, 0], [1, 1, 12, 62, 132, 100, 350, 78, 163, 43, 14, 4, 0], [1, 1, 12, 62, 133, 93, 371, 43, 198, 22, 21, 3, 0], [1, 1, 12, 62, 134, 86, 392, 8, 233, 1, 28, 2, 0], [1, 1, 12, 63, 121, 148, 238, 232, 37, 99, 6, 1, 1], [1, 1, 12, 63, 122, 141, 259, 197, 72, 78, 13, 0, 1], [1, 1, 12, 63, 124, 128, 294, 148, 107, 71, 6, 5, 0], [1, 1, 12, 63, 125, 121, 315, 113, 142, 50, 13, 4, 0], [1, 1, 12, 63, 126, 114, 336, 78, 177, 29, 20, 3, 0], [1, 1, 12, 63, 127, 107, 357, 43, 212, 8, 27, 2, 0], [1, 1, 12, 64, 114, 169, 203, 267, 16, 106, 5, 1, 1], [1, 1, 12, 64, 115, 162, 224, 232, 51, 85, 12, 0, 1], [1, 1, 12, 64, 117, 149, 259, 183, 86, 78, 5, 5, 0], [1, 1, 12, 64, 118, 142, 280, 148, 121, 57, 12, 4, 0], [1, 1, 12, 64, 119, 135, 301, 113, 156, 36, 19, 3, 0], [1, 1, 12, 64, 120, 128, 322, 78, 191, 15, 26, 2, 0], [1, 1, 12, 65, 108, 183, 189, 267, 30, 92, 11, 0, 1], [1, 1, 12, 65, 110, 170, 224, 218, 65, 85, 4, 5, 0], [1, 1, 12, 65, 111, 163, 245, 183, 100, 64, 11, 4, 0], [1, 1, 12, 65, 112, 156, 266, 148, 135, 43, 18, 3, 0], [1, 1, 12, 65, 113, 149, 287, 113, 170, 22, 25, 2, 0], [1, 1, 12, 65, 114, 142, 308, 78, 205, 1, 32, 1, 0], [1, 1, 12, 66, 101, 204, 154, 302, 9, 99, 10, 0, 1], [1, 1, 12, 66, 103, 191, 189, 253, 44, 92, 3, 5, 0], [1, 1, 12, 66, 104, 184, 210, 218, 79, 71, 10, 4, 0], [1, 1, 12, 66, 105, 177, 231, 183, 114, 50, 17, 3, 0], [1, 1, 12, 66, 106, 170, 252, 148, 149, 29, 24, 2, 0], [1, 1, 12, 66, 107, 163, 273, 113, 184, 8, 31, 1, 0], [1, 1, 12, 67, 96, 212, 154, 288, 23, 99, 2, 5, 0], [1, 1, 12, 67, 97, 205, 175, 253, 58, 78, 9, 4, 0], [1, 1, 12, 67, 98, 198, 196, 218, 93, 57, 16, 3, 0], [1, 1, 12, 67, 99, 191, 217, 183, 128, 36, 23, 2, 0], [1, 1, 12, 67, 100, 184, 238, 148, 163, 15, 30, 1, 0], [1, 1, 12, 68, 89, 233, 119, 323, 2, 106, 1, 5, 0], [1, 1, 12, 68, 90, 226, 140, 288, 37, 85, 8, 4, 0], [1, 1, 12, 68, 91, 219, 161, 253, 72, 64, 15, 3, 0], [1, 1, 12, 68, 92, 212, 182, 218, 107, 43, 22, 2, 0], [1, 1, 12, 68, 93, 205, 203, 183, 142, 22, 29, 1, 0], [1, 1, 12, 68, 94, 198, 224, 148, 177, 1, 36, 0, 0], [1, 1, 12, 69, 83, 247, 105, 323, 16, 92, 7, 4, 0], [1, 1, 12, 69, 84, 240, 126, 288, 51, 71, 14, 3, 0], [1, 1, 12, 69, 85, 233, 147, 253, 86, 50, 21, 2, 0], [1, 1, 12, 69, 86, 226, 168, 218, 121, 29, 28, 1, 0], [1, 1, 12, 69, 87, 219, 189, 183, 156, 8, 35, 0, 0], [1, 1, 12, 70, 77, 261, 91, 323, 30, 78, 13, 3, 0], [1, 1, 12, 70, 78, 254, 112, 288, 65, 57, 20, 2, 0], [1, 1, 12, 70, 79, 247, 133, 253, 100, 36, 27, 1, 0], [1, 1, 12, 70, 80, 240, 154, 218, 135, 15, 34, 0, 0], [1, 1, 12, 71, 70, 282, 56, 358, 9, 85, 12, 3, 0], [1, 1, 12, 71, 71, 275, 77, 323, 44, 64, 19, 2, 0], [1, 1, 12, 71, 72, 268, 98, 288, 79, 43, 26, 1, 0], [1, 1, 12, 71, 73, 261, 119, 253, 114, 22, 33, 0, 0], [1, 1, 12, 72, 64, 296, 42, 358, 23, 71, 18, 2, 0], [1, 1, 12, 72, 65, 289, 63, 323, 58, 50, 25, 1, 0], [1, 1, 12, 72, 66, 282, 84, 288, 93, 29, 32, 0, 0], [1, 1, 12, 73, 57, 317, 7, 393, 2, 78, 17, 2, 0], [1, 1, 12, 73, 58, 310, 28, 358, 37, 57, 24, 1, 0], [1, 1, 12, 73, 59, 303, 49, 323, 72, 36, 31, 0, 0], [1, 1, 12, 74, 52, 324, 14, 358, 51, 43, 30, 0, 0], [1, 1, 13, 51, 176, 15, 427, 71, 114, 84, 4, 2, 1], [1, 1, 13, 51, 177, 8, 448, 36, 149, 63, 11, 1, 1], [1, 1, 13, 51, 178, 1, 469, 1, 184, 42, 18, 0, 1], [1, 1, 13, 52, 169, 36, 392, 106, 93, 91, 3, 2, 1], [1, 1, 13, 52, 170, 29, 413, 71, 128, 70, 10, 1, 1], [1, 1, 13, 52, 171, 22, 434, 36, 163, 49, 17, 0, 1], [1, 1, 13, 52, 172, 16, 448, 22, 163, 63, 3, 6, 0], [1, 1, 13, 53, 162, 57, 357, 141, 72, 98, 2, 2, 1], [1, 1, 13, 53, 163, 50, 378, 106, 107, 77, 9, 1, 1], [1, 1, 13, 53, 164, 43, 399, 71, 142, 56, 16, 0, 1], [1, 1, 13, 53, 165, 37, 413, 57, 142, 70, 2, 6, 0], [1, 1, 13, 53, 166, 30, 434, 22, 177, 49, 9, 5, 0], [1, 1, 13, 54, 155, 78, 322, 176, 51, 105, 1, 2, 1], [1, 1, 13, 54, 156, 71, 343, 141, 86, 84, 8, 1, 1], [1, 1, 13, 54, 157, 64, 364, 106, 121, 63, 15, 0, 1], [1, 1, 13, 54, 158, 58, 378, 92, 121, 77, 1, 6, 0], [1, 1, 13, 54, 159, 51, 399, 57, 156, 56, 8, 5, 0], [1, 1, 13, 54, 160, 44, 420, 22, 191, 35, 15, 4, 0], [1, 1, 13, 55, 148, 99, 287, 211, 30, 112, 0, 2, 1], [1, 1, 13, 55, 149, 92, 308, 176, 65, 91, 7, 1, 1], [1, 1, 13, 55, 150, 85, 329, 141, 100, 70, 14, 0, 1], [1, 1, 13, 55, 151, 79, 343, 127, 100, 84, 0, 6, 0], [1, 1, 13, 55, 152, 72, 364, 92, 135, 63, 7, 5, 0], [1, 1, 13, 55, 153, 65, 385, 57, 170, 42, 14, 4, 0], [1, 1, 13, 55, 154, 58, 406, 22, 205, 21, 21, 3, 0], [1, 1, 13, 56, 142, 113, 273, 211, 44, 98, 6, 1, 1], [1, 1, 13, 56, 143, 106, 294, 176, 79, 77, 13, 0, 1], [1, 1, 13, 56, 145, 93, 329, 127, 114, 70, 6, 5, 0], [1, 1, 13, 56, 146, 86, 350, 92, 149, 49, 13, 4, 0], [1, 1, 13, 56, 147, 79, 371, 57, 184, 28, 20, 3, 0], [1, 1, 13, 56, 148, 72, 392, 22, 219, 7, 27, 2, 0], [1, 1, 13, 57, 135, 134, 238, 246, 23, 105, 5, 1, 1], [1, 1, 13, 57, 136, 127, 259, 211, 58, 84, 12, 0, 1], [1, 1, 13, 57, 138, 114, 294, 162, 93, 77, 5, 5, 0], [1, 1, 13, 57, 139, 107, 315, 127, 128, 56, 12, 4, 0], [1, 1, 13, 57, 140, 100, 336, 92, 163, 35, 19, 3, 0], [1, 1, 13, 57, 141, 93, 357, 57, 198, 14, 26, 2, 0], [1, 1, 13, 58, 128, 155, 203, 281, 2, 112, 4, 1, 1], [1, 1, 13, 58, 129, 148, 224, 246, 37, 91, 11, 0, 1], [1, 1, 13, 58, 131, 135, 259, 197, 72, 84, 4, 5, 0], [1, 1, 13, 58, 132, 128, 280, 162, 107, 63, 11, 4, 0], [1, 1, 13, 58, 133, 121, 301, 127, 142, 42, 18, 3, 0], [1, 1, 13, 58, 134, 114, 322, 92, 177, 21, 25, 2, 0], [1, 1, 13, 58, 135, 107, 343, 57, 212, 0, 32, 1, 0], [1, 1, 13, 59, 122, 169, 189, 281, 16, 98, 10, 0, 1], [1, 1, 13, 59, 124, 156, 224, 232, 51, 91, 3, 5, 0], [1, 1, 13, 59, 125, 149, 245, 197, 86, 70, 10, 4, 0], [1, 1, 13, 59, 126, 142, 266, 162, 121, 49, 17, 3, 0], [1, 1, 13, 59, 127, 135, 287, 127, 156, 28, 24, 2, 0], [1, 1, 13, 59, 128, 128, 308, 92, 191, 7, 31, 1, 0], [1, 1, 13, 60, 117, 177, 189, 267, 30, 98, 2, 5, 0], [1, 1, 13, 60, 118, 170, 210, 232, 65, 77, 9, 4, 0], [1, 1, 13, 60, 119, 163, 231, 197, 100, 56, 16, 3, 0], [1, 1, 13, 60, 120, 156, 252, 162, 135, 35, 23, 2, 0], [1, 1, 13, 60, 121, 149, 273, 127, 170, 14, 30, 1, 0], [1, 1, 13, 61, 110, 198, 154, 302, 9, 105, 1, 5, 0], [1, 1, 13, 61, 111, 191, 175, 267, 44, 84, 8, 4, 0], [1, 1, 13, 61, 112, 184, 196, 232, 79, 63, 15, 3, 0], [1, 1, 13, 61, 113, 177, 217, 197, 114, 42, 22, 2, 0], [1, 1, 13, 61, 114, 170, 238, 162, 149, 21, 29, 1, 0], [1, 1, 13, 61, 115, 163, 259, 127, 184, 0, 36, 0, 0], [1, 1, 13, 62, 104, 212, 140, 302, 23, 91, 7, 4, 0], [1, 1, 13, 62, 105, 205, 161, 267, 58, 70, 14, 3, 0], [1, 1, 13, 62, 106, 198, 182, 232, 93, 49, 21, 2, 0], [1, 1, 13, 62, 107, 191, 203, 197, 128, 28, 28, 1, 0], [1, 1, 13, 62, 108, 184, 224, 162, 163, 7, 35, 0, 0], [1, 1, 13, 63, 97, 233, 105, 337, 2, 98, 6, 4, 0], [1, 1, 13, 63, 98, 226, 126, 302, 37, 77, 13, 3, 0], [1, 1, 13, 63, 99, 219, 147, 267, 72, 56, 20, 2, 0], [1, 1, 13, 63, 100, 212, 168, 232, 107, 35, 27, 1, 0], [1, 1, 13, 63, 101, 205, 189, 197, 142, 14, 34, 0, 0], [1, 1, 13, 64, 91, 247, 91, 337, 16, 84, 12, 3, 0], [1, 1, 13, 64, 92, 240, 112, 302, 51, 63, 19, 2, 0], [1, 1, 13, 64, 93, 233, 133, 267, 86, 42, 26, 1, 0], [1, 1, 13, 64, 94, 226, 154, 232, 121, 21, 33, 0, 0], [1, 1, 13, 65, 85, 261, 77, 337, 30, 70, 18, 2, 0], [1, 1, 13, 65, 86, 254, 98, 302, 65, 49, 25, 1, 0], [1, 1, 13, 65, 87, 247, 119, 267, 100, 28, 32, 0, 0], [1, 1, 13, 66, 78, 282, 42, 372, 9, 77, 17, 2, 0], [1, 1, 13, 66, 79, 275, 63, 337, 44, 56, 24, 1, 0], [1, 1, 13, 66, 80, 268, 84, 302, 79, 35, 31, 0, 0], [1, 1, 13, 67, 72, 296, 28, 372, 23, 63, 23, 1, 0], [1, 1, 13, 67, 73, 289, 49, 337, 58, 42, 30, 0, 0], [1, 1, 13, 68, 66, 310, 14, 372, 37, 49, 29, 0, 0], [1, 1, 14, 45, 190, 1, 427, 85, 100, 90, 3, 2, 1], [1, 1, 14, 46, 183, 22, 392, 120, 79, 97, 2, 2, 1], [1, 1, 14, 46, 184, 15, 413, 85, 114, 76, 9, 1, 1], [1, 1, 14, 46, 185, 8, 434, 50, 149, 55, 16, 0, 1], [1, 1, 14, 46, 186, 2, 448, 36, 149, 69, 2, 6, 0], [1, 1, 14, 47, 176, 43, 357, 155, 58, 104, 1, 2, 1], [1, 1, 14, 47, 177, 36, 378, 120, 93, 83, 8, 1, 1], [1, 1, 14, 47, 178, 29, 399, 85, 128, 62, 15, 0, 1], [1, 1, 14, 47, 179, 23, 413, 71, 128, 76, 1, 6, 0], [1, 1, 14, 47, 180, 16, 434, 36, 163, 55, 8, 5, 0], [1, 1, 14, 47, 181, 9, 455, 1, 198, 34, 15, 4, 0], [1, 1, 14, 48, 169, 64, 322, 190, 37, 111, 0, 2, 1], [1, 1, 14, 48, 170, 57, 343, 155, 72, 90, 7, 1, 1], [1, 1, 14, 48, 171, 50, 364, 120, 107, 69, 14, 0, 1], [1, 1, 14, 48, 172, 44, 378, 106, 107, 83, 0, 6, 0], [1, 1, 14, 48, 173, 37, 399, 71, 142, 62, 7, 5, 0], [1, 1, 14, 48, 174, 30, 420, 36, 177, 41, 14, 4, 0], [1, 1, 14, 48, 175, 23, 441, 1, 212, 20, 21, 3, 0], [1, 1, 14, 49, 163, 78, 308, 190, 51, 97, 6, 1, 1], [1, 1, 14, 49, 164, 71, 329, 155, 86, 76, 13, 0, 1], [1, 1, 14, 49, 166, 58, 364, 106, 121, 69, 6, 5, 0], [1, 1, 14, 49, 167, 51, 385, 71, 156, 48, 13, 4, 0], [1, 1, 14, 49, 168, 44, 406, 36, 191, 27, 20, 3, 0], [1, 1, 14, 49, 169, 37, 427, 1, 226, 6, 27, 2, 0], [1, 1, 14, 50, 156, 99, 273, 225, 30, 104, 5, 1, 1], [1, 1, 14, 50, 157, 92, 294, 190, 65, 83, 12, 0, 1], [1, 1, 14, 50, 159, 79, 329, 141, 100, 76, 5, 5, 0], [1, 1, 14, 50, 160, 72, 350, 106, 135, 55, 12, 4, 0], [1, 1, 14, 50, 161, 65, 371, 71, 170, 34, 19, 3, 0], [1, 1, 14, 50, 162, 58, 392, 36, 205, 13, 26, 2, 0], [1, 1, 14, 51, 149, 120, 238, 260, 9, 111, 4, 1, 1], [1, 1, 14, 51, 150, 113, 259, 225, 44, 90, 11, 0, 1], [1, 1, 14, 51, 152, 100, 294, 176, 79, 83, 4, 5, 0], [1, 1, 14, 51, 153, 93, 315, 141, 114, 62, 11, 4, 0], [1, 1, 14, 51, 154, 86, 336, 106, 149, 41, 18, 3, 0], [1, 1, 14, 51, 155, 79, 357, 71, 184, 20, 25, 2, 0], [1, 1, 14, 52, 143, 134, 224, 260, 23, 97, 10, 0, 1], [1, 1, 14, 52, 145, 121, 259, 211, 58, 90, 3, 5, 0], [1, 1, 14, 52, 146, 114, 280, 176, 93, 69, 10, 4, 0], [1, 1, 14, 52, 147, 107, 301, 141, 128, 48, 17, 3, 0], [1, 1, 14, 52, 148, 100, 322, 106, 163, 27, 24, 2, 0], [1, 1, 14, 52, 149, 93, 343, 71, 198, 6, 31, 1, 0], [1, 1, 14, 53, 136, 155, 189, 295, 2, 104, 9, 0, 1], [1, 1, 14, 53, 138, 142, 224, 246, 37, 97, 2, 5, 0], [1, 1, 14, 53, 139, 135, 245, 211, 72, 76, 9, 4, 0], [1, 1, 14, 53, 140, 128, 266, 176, 107, 55, 16, 3, 0], [1, 1, 14, 53, 141, 121, 287, 141, 142, 34, 23, 2, 0], [1, 1, 14, 53, 142, 114, 308, 106, 177, 13, 30, 1, 0], [1, 1, 14, 54, 131, 163, 189, 281, 16, 104, 1, 5, 0], [1, 1, 14, 54, 132, 156, 210, 246, 51, 83, 8, 4, 0], [1, 1, 14, 54, 133, 149, 231, 211, 86, 62, 15, 3, 0], [1, 1, 14, 54, 134, 142, 252, 176, 121, 41, 22, 2, 0], [1, 1, 14, 54, 135, 135, 273, 141, 156, 20, 29, 1, 0], [1, 1, 14, 55, 125, 177, 175, 281, 30, 90, 7, 4, 0], [1, 1, 14, 55, 126, 170, 196, 246, 65, 69, 14, 3, 0], [1, 1, 14, 55, 127, 163, 217, 211, 100, 48, 21, 2, 0], [1, 1, 14, 55, 128, 156, 238, 176, 135, 27, 28, 1, 0], [1, 1, 14, 55, 129, 149, 259, 141, 170, 6, 35, 0, 0], [1, 1, 14, 56, 118, 198, 140, 316, 9, 97, 6, 4, 0], [1, 1, 14, 56, 119, 191, 161, 281, 44, 76, 13, 3, 0], [1, 1, 14, 56, 120, 184, 182, 246, 79, 55, 20, 2, 0], [1, 1, 14, 56, 121, 177, 203, 211, 114, 34, 27, 1, 0], [1, 1, 14, 56, 122, 170, 224, 176, 149, 13, 34, 0, 0], [1, 1, 14, 57, 112, 212, 126, 316, 23, 83, 12, 3, 0], [1, 1, 14, 57, 113, 205, 147, 281, 58, 62, 19, 2, 0], [1, 1, 14, 57, 114, 198, 168, 246, 93, 41, 26, 1, 0], [1, 1, 14, 57, 115, 191, 189, 211, 128, 20, 33, 0, 0], [1, 1, 14, 58, 105, 233, 91, 351, 2, 90, 11, 3, 0], [1, 1, 14, 58, 106, 226, 112, 316, 37, 69, 18, 2, 0], [1, 1, 14, 58, 107, 219, 133, 281, 72, 48, 25, 1, 0], [1, 1, 14, 58, 108, 212, 154, 246, 107, 27, 32, 0, 0], [1, 1, 14, 59, 99, 247, 77, 351, 16, 76, 17, 2, 0], [1, 1, 14, 59, 100, 240, 98, 316, 51, 55, 24, 1, 0], [1, 1, 14, 59, 101, 233, 119, 281, 86, 34, 31, 0, 0], [1, 1, 14, 60, 93, 261, 63, 351, 30, 62, 23, 1, 0], [1, 1, 14, 60, 94, 254, 84, 316, 65, 41, 30, 0, 0], [1, 1, 14, 61, 86, 282, 28, 386, 9, 69, 22, 1, 0], [1, 1, 14, 61, 87, 275, 49, 351, 44, 48, 29, 0, 0], [1, 1, 14, 62, 80, 296, 14, 386, 23, 55, 28, 0, 0], [1, 1, 15, 40, 197, 8, 392, 134, 65, 103, 1, 2, 1], [1, 1, 15, 40, 198, 1, 413, 99, 100, 82, 8, 1, 1], [1, 1, 15, 41, 190, 29, 357, 169, 44, 110, 0, 2, 1], [1, 1, 15, 41, 191, 22, 378, 134, 79, 89, 7, 1, 1], [1, 1, 15, 41, 192, 15, 399, 99, 114, 68, 14, 0, 1], [1, 1, 15, 41, 193, 9, 413, 85, 114, 82, 0, 6, 0], [1, 1, 15, 41, 194, 2, 434, 50, 149, 61, 7, 5, 0], [1, 1, 15, 42, 184, 43, 343, 169, 58, 96, 6, 1, 1], [1, 1, 15, 42, 185, 36, 364, 134, 93, 75, 13, 0, 1], [1, 1, 15, 42, 187, 23, 399, 85, 128, 68, 6, 5, 0], [1, 1, 15, 42, 188, 16, 420, 50, 163, 47, 13, 4, 0], [1, 1, 15, 42, 189, 9, 441, 15, 198, 26, 20, 3, 0], [1, 1, 15, 43, 177, 64, 308, 204, 37, 103, 5, 1, 1], [1, 1, 15, 43, 178, 57, 329, 169, 72, 82, 12, 0, 1], [1, 1, 15, 43, 180, 44, 364, 120, 107, 75, 5, 5, 0], [1, 1, 15, 43, 181, 37, 385, 85, 142, 54, 12, 4, 0], [1, 1, 15, 43, 182, 30, 406, 50, 177, 33, 19, 3, 0], [1, 1, 15, 43, 183, 23, 427, 15, 212, 12, 26, 2, 0], [1, 1, 15, 44, 170, 85, 273, 239, 16, 110, 4, 1, 1], [1, 1, 15, 44, 171, 78, 294, 204, 51, 89, 11, 0, 1], [1, 1, 15, 44, 173, 65, 329, 155, 86, 82, 4, 5, 0], [1, 1, 15, 44, 174, 58, 350, 120, 121, 61, 11, 4, 0], [1, 1, 15, 44, 175, 51, 371, 85, 156, 40, 18, 3, 0], [1, 1, 15, 44, 176, 44, 392, 50, 191, 19, 25, 2, 0], [1, 1, 15, 45, 164, 99, 259, 239, 30, 96, 10, 0, 1], [1, 1, 15, 45, 166, 86, 294, 190, 65, 89, 3, 5, 0], [1, 1, 15, 45, 167, 79, 315, 155, 100, 68, 10, 4, 0], [1, 1, 15, 45, 168, 72, 336, 120, 135, 47, 17, 3, 0], [1, 1, 15, 45, 169, 65, 357, 85, 170, 26, 24, 2, 0], [1, 1, 15, 45, 170, 58, 378, 50, 205, 5, 31, 1, 0], [1, 1, 15, 46, 157, 120, 224, 274, 9, 103, 9, 0, 1], [1, 1, 15, 46, 159, 107, 259, 225, 44, 96, 2, 5, 0], [1, 1, 15, 46, 160, 100, 280, 190, 79, 75, 9, 4, 0], [1, 1, 15, 46, 161, 93, 301, 155, 114, 54, 16, 3, 0], [1, 1, 15, 46, 162, 86, 322, 120, 149, 33, 23, 2, 0], [1, 1, 15, 46, 163, 79, 343, 85, 184, 12, 30, 1, 0], [1, 1, 15, 47, 152, 128, 224, 260, 23, 103, 1, 5, 0], [1, 1, 15, 47, 153, 121, 245, 225, 58, 82, 8, 4, 0], [1, 1, 15, 47, 154, 114, 266, 190, 93, 61, 15, 3, 0], [1, 1, 15, 47, 155, 107, 287, 155, 128, 40, 22, 2, 0], [1, 1, 15, 47, 156, 100, 308, 120, 163, 19, 29, 1, 0], [1, 1, 15, 48, 145, 149, 189, 295, 2, 110, 0, 5, 0], [1, 1, 15, 48, 146, 142, 210, 260, 37, 89, 7, 4, 0], [1, 1, 15, 48, 147, 135, 231, 225, 72, 68, 14, 3, 0], [1, 1, 15, 48, 148, 128, 252, 190, 107, 47, 21, 2, 0], [1, 1, 15, 48, 149, 121, 273, 155, 142, 26, 28, 1, 0], [1, 1, 15, 48, 150, 114, 294, 120, 177, 5, 35, 0, 0], [1, 1, 15, 49, 139, 163, 175, 295, 16, 96, 6, 4, 0], [1, 1, 15, 49, 140, 156, 196, 260, 51, 75, 13, 3, 0], [1, 1, 15, 49, 141, 149, 217, 225, 86, 54, 20, 2, 0], [1, 1, 15, 49, 142, 142, 238, 190, 121, 33, 27, 1, 0], [1, 1, 15, 49, 143, 135, 259, 155, 156, 12, 34, 0, 0], [1, 1, 15, 50, 133, 177, 161, 295, 30, 82, 12, 3, 0], [1, 1, 15, 50, 134, 170, 182, 260, 65, 61, 19, 2, 0], [1, 1, 15, 50, 135, 163, 203, 225, 100, 40, 26, 1, 0], [1, 1, 15, 50, 136, 156, 224, 190, 135, 19, 33, 0, 0], [1, 1, 15, 51, 126, 198, 126, 330, 9, 89, 11, 3, 0], [1, 1, 15, 51, 127, 191, 147, 295, 44, 68, 18, 2, 0], [1, 1, 15, 51, 128, 184, 168, 260, 79, 47, 25, 1, 0], [1, 1, 15, 51, 129, 177, 189, 225, 114, 26, 32, 0, 0], [1, 1, 15, 52, 120, 212, 112, 330, 23, 75, 17, 2, 0], [1, 1, 15, 52, 121, 205, 133, 295, 58, 54, 24, 1, 0], [1, 1, 15, 52, 122, 198, 154, 260, 93, 33, 31, 0, 0], [1, 1, 15, 53, 113, 233, 77, 365, 2, 82, 16, 2, 0], [1, 1, 15, 53, 114, 226, 98, 330, 37, 61, 23, 1, 0], [1, 1, 15, 53, 115, 219, 119, 295, 72, 40, 30, 0, 0], [1, 1, 15, 54, 107, 247, 63, 365, 16, 68, 22, 1, 0], [1, 1, 15, 54, 108, 240, 84, 330, 51, 47, 29, 0, 0], [1, 1, 15, 55, 101, 261, 49, 365, 30, 54, 28, 0, 0], [1, 1, 15, 56, 94, 282, 14, 400, 9, 61, 27, 0, 0], [1, 1, 16, 35, 205, 8, 378, 148, 65, 95, 6, 1, 1], [1, 1, 16, 35, 206, 1, 399, 113, 100, 74, 13, 0, 1], [1, 1, 16, 36, 198, 29, 343, 183, 44, 102, 5, 1, 1], [1, 1, 16, 36, 199, 22, 364, 148, 79, 81, 12, 0, 1], [1, 1, 16, 36, 201, 9, 399, 99, 114, 74, 5, 5, 0], [1, 1, 16, 36, 202, 2, 420, 64, 149, 53, 12, 4, 0], [1, 1, 16, 37, 191, 50, 308, 218, 23, 109, 4, 1, 1], [1, 1, 16, 37, 192, 43, 329, 183, 58, 88, 11, 0, 1], [1, 1, 16, 37, 194, 30, 364, 134, 93, 81, 4, 5, 0], [1, 1, 16, 37, 195, 23, 385, 99, 128, 60, 11, 4, 0], [1, 1, 16, 37, 196, 16, 406, 64, 163, 39, 18, 3, 0], [1, 1, 16, 37, 197, 9, 427, 29, 198, 18, 25, 2, 0], [1, 1, 16, 38, 184, 71, 273, 253, 2, 116, 3, 1, 1], [1, 1, 16, 38, 185, 64, 294, 218, 37, 95, 10, 0, 1], [1, 1, 16, 38, 187, 51, 329, 169, 72, 88, 3, 5, 0], [1, 1, 16, 38, 188, 44, 350, 134, 107, 67, 10, 4, 0], [1, 1, 16, 38, 189, 37, 371, 99, 142, 46, 17, 3, 0], [1, 1, 16, 38, 190, 30, 392, 64, 177, 25, 24, 2, 0], [1, 1, 16, 38, 191, 23, 413, 29, 212, 4, 31, 1, 0], [1, 1, 16, 39, 178, 85, 259, 253, 16, 102, 9, 0, 1], [1, 1, 16, 39, 180, 72, 294, 204, 51, 95, 2, 5, 0], [1, 1, 16, 39, 181, 65, 315, 169, 86, 74, 9, 4, 0], [1, 1, 16, 39, 182, 58, 336, 134, 121, 53, 16, 3, 0], [1, 1, 16, 39, 183, 51, 357, 99, 156, 32, 23, 2, 0], [1, 1, 16, 39, 184, 44, 378, 64, 191, 11, 30, 1, 0], [1, 1, 16, 40, 173, 93, 259, 239, 30, 102, 1, 5, 0], [1, 1, 16, 40, 174, 86, 280, 204, 65, 81, 8, 4, 0], [1, 1, 16, 40, 175, 79, 301, 169, 100, 60, 15, 3, 0], [1, 1, 16, 40, 176, 72, 322, 134, 135, 39, 22, 2, 0], [1, 1, 16, 40, 177, 65, 343, 99, 170, 18, 29, 1, 0], [1, 1, 16, 41, 166, 114, 224, 274, 9, 109, 0, 5, 0], [1, 1, 16, 41, 167, 107, 245, 239, 44, 88, 7, 4, 0], [1, 1, 16, 41, 168, 100, 266, 204, 79, 67, 14, 3, 0], [1, 1, 16, 41, 169, 93, 287, 169, 114, 46, 21, 2, 0], [1, 1, 16, 41, 170, 86, 308, 134, 149, 25, 28, 1, 0], [1, 1, 16, 41, 171, 79, 329, 99, 184, 4, 35, 0, 0], [1, 1, 16, 42, 160, 128, 210, 274, 23, 95, 6, 4, 0], [1, 1, 16, 42, 161, 121, 231, 239, 58, 74, 13, 3, 0], [1, 1, 16, 42, 162, 114, 252, 204, 93, 53, 20, 2, 0], [1, 1, 16, 42, 163, 107, 273, 169, 128, 32, 27, 1, 0], [1, 1, 16, 42, 164, 100, 294, 134, 163, 11, 34, 0, 0], [1, 1, 16, 43, 153, 149, 175, 309, 2, 102, 5, 4, 0], [1, 1, 16, 43, 154, 142, 196, 274, 37, 81, 12, 3, 0], [1, 1, 16, 43, 155, 135, 217, 239, 72, 60, 19, 2, 0], [1, 1, 16, 43, 156, 128, 238, 204, 107, 39, 26, 1, 0], [1, 1, 16, 43, 157, 121, 259, 169, 142, 18, 33, 0, 0], [1, 1, 16, 44, 147, 163, 161, 309, 16, 88, 11, 3, 0], [1, 1, 16, 44, 148, 156, 182, 274, 51, 67, 18, 2, 0], [1, 1, 16, 44, 149, 149, 203, 239, 86, 46, 25, 1, 0], [1, 1, 16, 44, 150, 142, 224, 204, 121, 25, 32, 0, 0], [1, 1, 16, 45, 141, 177, 147, 309, 30, 74, 17, 2, 0], [1, 1, 16, 45, 142, 170, 168, 274, 65, 53, 24, 1, 0], [1, 1, 16, 45, 143, 163, 189, 239, 100, 32, 31, 0, 0], [1, 1, 16, 46, 134, 198, 112, 344, 9, 81, 16, 2, 0], [1, 1, 16, 46, 135, 191, 133, 309, 44, 60, 23, 1, 0], [1, 1, 16, 46, 136, 184, 154, 274, 79, 39, 30, 0, 0], [1, 1, 16, 47, 128, 212, 98, 344, 23, 67, 22, 1, 0], [1, 1, 16, 47, 129, 205, 119, 309, 58, 46, 29, 0, 0], [1, 1, 16, 48, 121, 233, 63, 379, 2, 74, 21, 1, 0], [1, 1, 16, 48, 122, 226, 84, 344, 37, 53, 28, 0, 0], [1, 1, 16, 49, 115, 247, 49, 379, 16, 60, 27, 0, 0], [1, 1, 17, 30, 212, 15, 343, 197, 30, 108, 4, 1, 1], [1, 1, 17, 30, 213, 8, 364, 162, 65, 87, 11, 0, 1], [1, 1, 17, 31, 205, 36, 308, 232, 9, 115, 3, 1, 1], [1, 1, 17, 31, 206, 29, 329, 197, 44, 94, 10, 0, 1], [1, 1, 17, 31, 208, 16, 364, 148, 79, 87, 3, 5, 0], [1, 1, 17, 31, 209, 9, 385, 113, 114, 66, 10, 4, 0], [1, 1, 17, 31, 210, 2, 406, 78, 149, 45, 17, 3, 0], [1, 1, 17, 32, 199, 50, 294, 232, 23, 101, 9, 0, 1], [1, 1, 17, 32, 201, 37, 329, 183, 58, 94, 2, 5, 0], [1, 1, 17, 32, 202, 30, 350, 148, 93, 73, 9, 4, 0], [1, 1, 17, 32, 203, 23, 371, 113, 128, 52, 16, 3, 0], [1, 1, 17, 32, 204, 16, 392, 78, 163, 31, 23, 2, 0], [1, 1, 17, 32, 205, 9, 413, 43, 198, 10, 30, 1, 0], [1, 1, 17, 33, 192, 71, 259, 267, 2, 108, 8, 0, 1], [1, 1, 17, 33, 194, 58, 294, 218, 37, 101, 1, 5, 0], [1, 1, 17, 33, 195, 51, 315, 183, 72, 80, 8, 4, 0], [1, 1, 17, 33, 196, 44, 336, 148, 107, 59, 15, 3, 0], [1, 1, 17, 33, 197, 37, 357, 113, 142, 38, 22, 2, 0], [1, 1, 17, 33, 198, 30, 378, 78, 177, 17, 29, 1, 0], [1, 1, 17, 34, 187, 79, 259, 253, 16, 108, 0, 5, 0], [1, 1, 17, 34, 188, 72, 280, 218, 51, 87, 7, 4, 0], [1, 1, 17, 34, 189, 65, 301, 183, 86, 66, 14, 3, 0], [1, 1, 17, 34, 190, 58, 322, 148, 121, 45, 21, 2, 0], [1, 1, 17, 34, 191, 51, 343, 113, 156, 24, 28, 1, 0], [1, 1, 17, 34, 192, 44, 364, 78, 191, 3, 35, 0, 0], [1, 1, 17, 35, 181, 93, 245, 253, 30, 94, 6, 4, 0], [1, 1, 17, 35, 182, 86, 266, 218, 65, 73, 13, 3, 0], [1, 1, 17, 35, 183, 79, 287, 183, 100, 52, 20, 2, 0], [1, 1, 17, 35, 184, 72, 308, 148, 135, 31, 27, 1, 0], [1, 1, 17, 35, 185, 65, 329, 113, 170, 10, 34, 0, 0], [1, 1, 17, 36, 174, 114, 210, 288, 9, 101, 5, 4, 0], [1, 1, 17, 36, 175, 107, 231, 253, 44, 80, 12, 3, 0], [1, 1, 17, 36, 176, 100, 252, 218, 79, 59, 19, 2, 0], [1, 1, 17, 36, 177, 93, 273, 183, 114, 38, 26, 1, 0], [1, 1, 17, 36, 178, 86, 294, 148, 149, 17, 33, 0, 0], [1, 1, 17, 37, 168, 128, 196, 288, 23, 87, 11, 3, 0], [1, 1, 17, 37, 169, 121, 217, 253, 58, 66, 18, 2, 0], [1, 1, 17, 37, 170, 114, 238, 218, 93, 45, 25, 1, 0], [1, 1, 17, 37, 171, 107, 259, 183, 128, 24, 32, 0, 0], [1, 1, 17, 38, 161, 149, 161, 323, 2, 94, 10, 3, 0], [1, 1, 17, 38, 162, 142, 182, 288, 37, 73, 17, 2, 0], [1, 1, 17, 38, 163, 135, 203, 253, 72, 52, 24, 1, 0], [1, 1, 17, 38, 164, 128, 224, 218, 107, 31, 31, 0, 0], [1, 1, 17, 39, 155, 163, 147, 323, 16, 80, 16, 2, 0], [1, 1, 17, 39, 156, 156, 168, 288, 51, 59, 23, 1, 0], [1, 1, 17, 39, 157, 149, 189, 253, 86, 38, 30, 0, 0], [1, 1, 17, 40, 149, 177, 133, 323, 30, 66, 22, 1, 0], [1, 1, 17, 40, 150, 170, 154, 288, 65, 45, 29, 0, 0], [1, 1, 17, 41, 142, 198, 98, 358, 9, 73, 21, 1, 0], [1, 1, 17, 41, 143, 191, 119, 323, 44, 52, 28, 0, 0], [1, 1, 17, 42, 136, 212, 84, 358, 23, 59, 27, 0, 0], [1, 1, 17, 43, 129, 233, 49, 393, 2, 66, 26, 0, 0], [1, 1, 18, 24, 226, 1, 343, 211, 16, 114, 3, 1, 1], [1, 1, 18, 25, 220, 15, 329, 211, 30, 100, 9, 0, 1], [1, 1, 18, 25, 222, 2, 364, 162, 65, 93, 2, 5, 0], [1, 1, 18, 26, 213, 36, 294, 246, 9, 107, 8, 0, 1], [1, 1, 18, 26, 215, 23, 329, 197, 44, 100, 1, 5, 0], [1, 1, 18, 26, 216, 16, 350, 162, 79, 79, 8, 4, 0], [1, 1, 18, 26, 217, 9, 371, 127, 114, 58, 15, 3, 0], [1, 1, 18, 26, 218, 2, 392, 92, 149, 37, 22, 2, 0], [1, 1, 18, 27, 208, 44, 294, 232, 23, 107, 0, 5, 0], [1, 1, 18, 27, 209, 37, 315, 197, 58, 86, 7, 4, 0], [1, 1, 18, 27, 210, 30, 336, 162, 93, 65, 14, 3, 0], [1, 1, 18, 27, 211, 23, 357, 127, 128, 44, 21, 2, 0], [1, 1, 18, 27, 212, 16, 378, 92, 163, 23, 28, 1, 0], [1, 1, 18, 27, 213, 9, 399, 57, 198, 2, 35, 0, 0], [1, 1, 18, 28, 202, 58, 280, 232, 37, 93, 6, 4, 0], [1, 1, 18, 28, 203, 51, 301, 197, 72, 72, 13, 3, 0], [1, 1, 18, 28, 204, 44, 322, 162, 107, 51, 20, 2, 0], [1, 1, 18, 28, 205, 37, 343, 127, 142, 30, 27, 1, 0], [1, 1, 18, 28, 206, 30, 364, 92, 177, 9, 34, 0, 0], [1, 1, 18, 29, 195, 79, 245, 267, 16, 100, 5, 4, 0], [1, 1, 18, 29, 196, 72, 266, 232, 51, 79, 12, 3, 0], [1, 1, 18, 29, 197, 65, 287, 197, 86, 58, 19, 2, 0], [1, 1, 18, 29, 198, 58, 308, 162, 121, 37, 26, 1, 0], [1, 1, 18, 29, 199, 51, 329, 127, 156, 16, 33, 0, 0], [1, 1, 18, 30, 189, 93, 231, 267, 30, 86, 11, 3, 0], [1, 1, 18, 30, 190, 86, 252, 232, 65, 65, 18, 2, 0], [1, 1, 18, 30, 191, 79, 273, 197, 100, 44, 25, 1, 0], [1, 1, 18, 30, 192, 72, 294, 162, 135, 23, 32, 0, 0], [1, 1, 18, 31, 182, 114, 196, 302, 9, 93, 10, 3, 0], [1, 1, 18, 31, 183, 107, 217, 267, 44, 72, 17, 2, 0], [1, 1, 18, 31, 184, 100, 238, 232, 79, 51, 24, 1, 0], [1, 1, 18, 31, 185, 93, 259, 197, 114, 30, 31, 0, 0], [1, 1, 18, 32, 176, 128, 182, 302, 23, 79, 16, 2, 0], [1, 1, 18, 32, 177, 121, 203, 267, 58, 58, 23, 1, 0], [1, 1, 18, 32, 178, 114, 224, 232, 93, 37, 30, 0, 0], [1, 1, 18, 33, 169, 149, 147, 337, 2, 86, 15, 2, 0], [1, 1, 18, 33, 170, 142, 168, 302, 37, 65, 22, 1, 0], [1, 1, 18, 33, 171, 135, 189, 267, 72, 44, 29, 0, 0], [1, 1, 18, 34, 163, 163, 133, 337, 16, 72, 21, 1, 0], [1, 1, 18, 34, 164, 156, 154, 302, 51, 51, 28, 0, 0], [1, 1, 18, 35, 157, 177, 119, 337, 30, 58, 27, 0, 0], [1, 1, 18, 36, 150, 198, 84, 372, 9, 65, 26, 0, 0], [1, 1, 19, 19, 234, 1, 329, 225, 16, 106, 8, 0, 1], [1, 1, 19, 20, 229, 9, 329, 211, 30, 106, 0, 5, 0], [1, 1, 19, 20, 230, 2, 350, 176, 65, 85, 7, 4, 0], [1, 1, 19, 21, 223, 23, 315, 211, 44, 92, 6, 4, 0], [1, 1, 19, 21, 224, 16, 336, 176, 79, 71, 13, 3, 0], [1, 1, 19, 21, 225, 9, 357, 141, 114, 50, 20, 2, 0], [1, 1, 19, 21, 226, 2, 378, 106, 149, 29, 27, 1, 0], [1, 1, 19, 22, 216, 44, 280, 246, 23, 99, 5, 4, 0], [1, 1, 19, 22, 217, 37, 301, 211, 58, 78, 12, 3, 0], [1, 1, 19, 22, 218, 30, 322, 176, 93, 57, 19, 2, 0], [1, 1, 19, 22, 219, 23, 343, 141, 128, 36, 26, 1, 0], [1, 1, 19, 22, 220, 16, 364, 106, 163, 15, 33, 0, 0], [1, 1, 19, 23, 209, 65, 245, 281, 2, 106, 4, 4, 0], [1, 1, 19, 23, 210, 58, 266, 246, 37, 85, 11, 3, 0], [1, 1, 19, 23, 211, 51, 287, 211, 72, 64, 18, 2, 0], [1, 1, 19, 23, 212, 44, 308, 176, 107, 43, 25, 1, 0], [1, 1, 19, 23, 213, 37, 329, 141, 142, 22, 32, 0, 0], [1, 1, 19, 24, 203, 79, 231, 281, 16, 92, 10, 3, 0], [1, 1, 19, 24, 204, 72, 252, 246, 51, 71, 17, 2, 0], [1, 1, 19, 24, 205, 65, 273, 211, 86, 50, 24, 1, 0], [1, 1, 19, 24, 206, 58, 294, 176, 121, 29, 31, 0, 0], [1, 1, 19, 25, 197, 93, 217, 281, 30, 78, 16, 2, 0], [1, 1, 19, 25, 198, 86, 238, 246, 65, 57, 23, 1, 0], [1, 1, 19, 25, 199, 79, 259, 211, 100, 36, 30, 0, 0], [1, 1, 19, 26, 190, 114, 182, 316, 9, 85, 15, 2, 0], [1, 1, 19, 26, 191, 107, 203, 281, 44, 64, 22, 1, 0], [1, 1, 19, 26, 192, 100, 224, 246, 79, 43, 29, 0, 0], [1, 1, 19, 27, 184, 128, 168, 316, 23, 71, 21, 1, 0], [1, 1, 19, 27, 185, 121, 189, 281, 58, 50, 28, 0, 0], [1, 1, 19, 28, 177, 149, 133, 351, 2, 78, 20, 1, 0], [1, 1, 19, 28, 178, 142, 154, 316, 37, 57, 27, 0, 0], [1, 1, 19, 29, 171, 163, 119, 351, 16, 64, 26, 0, 0], [1, 1, 20, 15, 237, 9, 315, 225, 30, 98, 5, 4, 0], [1, 1, 20, 15, 238, 2, 336, 190, 65, 77, 12, 3, 0], [1, 1, 20, 16, 230, 30, 280, 260, 9, 105, 4, 4, 0], [1, 1, 20, 16, 231, 23, 301, 225, 44, 84, 11, 3, 0], [1, 1, 20, 16, 232, 16, 322, 190, 79, 63, 18, 2, 0], [1, 1, 20, 16, 233, 9, 343, 155, 114, 42, 25, 1, 0], [1, 1, 20, 16, 234, 2, 364, 120, 149, 21, 32, 0, 0], [1, 1, 20, 17, 224, 44, 266, 260, 23, 91, 10, 3, 0], [1, 1, 20, 17, 225, 37, 287, 225, 58, 70, 17, 2, 0], [1, 1, 20, 17, 226, 30, 308, 190, 93, 49, 24, 1, 0], [1, 1, 20, 17, 227, 23, 329, 155, 128, 28, 31, 0, 0], [1, 1, 20, 18, 217, 65, 231, 295, 2, 98, 9, 3, 0], [1, 1, 20, 18, 218, 58, 252, 260, 37, 77, 16, 2, 0], [1, 1, 20, 18, 219, 51, 273, 225, 72, 56, 23, 1, 0], [1, 1, 20, 18, 220, 44, 294, 190, 107, 35, 30, 0, 0], [1, 1, 20, 19, 211, 79, 217, 295, 16, 84, 15, 2, 0], [1, 1, 20, 19, 212, 72, 238, 260, 51, 63, 22, 1, 0], [1, 1, 20, 19, 213, 65, 259, 225, 86, 42, 29, 0, 0], [1, 1, 20, 20, 205, 93, 203, 295, 30, 70, 21, 1, 0], [1, 1, 20, 20, 206, 86, 224, 260, 65, 49, 28, 0, 0], [1, 1, 20, 21, 198, 114, 168, 330, 9, 77, 20, 1, 0], [1, 1, 20, 21, 199, 107, 189, 295, 44, 56, 27, 0, 0], [1, 1, 20, 22, 192, 128, 154, 330, 23, 63, 26, 0, 0], [1, 1, 20, 23, 185, 149, 119, 365, 2, 70, 25, 0, 0], [1, 1, 21, 10, 245, 9, 301, 239, 30, 90, 10, 3, 0], [1, 1, 21, 10, 246, 2, 322, 204, 65, 69, 17, 2, 0], [1, 1, 21, 11, 238, 30, 266, 274, 9, 97, 9, 3, 0], [1, 1, 21, 11, 239, 23, 287, 239, 44, 76, 16, 2, 0], [1, 1, 21, 11, 240, 16, 308, 204, 79, 55, 23, 1, 0], [1, 1, 21, 11, 241, 9, 329, 169, 114, 34, 30, 0, 0], [1, 1, 21, 12, 232, 44, 252, 274, 23, 83, 15, 2, 0], [1, 1, 21, 12, 233, 37, 273, 239, 58, 62, 22, 1, 0], [1, 1, 21, 12, 234, 30, 294, 204, 93, 41, 29, 0, 0], [1, 1, 21, 13, 225, 65, 217, 309, 2, 90, 14, 2, 0], [1, 1, 21, 13, 226, 58, 238, 274, 37, 69, 21, 1, 0], [1, 1, 21, 13, 227, 51, 259, 239, 72, 48, 28, 0, 0], [1, 1, 21, 14, 219, 79, 203, 309, 16, 76, 20, 1, 0], [1, 1, 21, 14, 220, 72, 224, 274, 51, 55, 27, 0, 0], [1, 1, 21, 15, 213, 93, 189, 309, 30, 62, 26, 0, 0], [1, 1, 21, 16, 206, 114, 154, 344, 9, 69, 25, 0, 0], [1, 1, 22, 5, 253, 9, 287, 253, 30, 82, 15, 2, 0], [1, 1, 22, 5, 254, 2, 308, 218, 65, 61, 22, 1, 0], [1, 1, 22, 6, 246, 30, 252, 288, 9, 89, 14, 2, 0], [1, 1, 22, 6, 247, 23, 273, 253, 44, 68, 21, 1, 0], [1, 1, 22, 6, 248, 16, 294, 218, 79, 47, 28, 0, 0], [1, 1, 22, 7, 240, 44, 238, 288, 23, 75, 20, 1, 0], [1, 1, 22, 7, 241, 37, 259, 253, 58, 54, 27, 0, 0], [1, 1, 22, 8, 233, 65, 203, 323, 2, 82, 19, 1, 0], [1, 1, 22, 8, 234, 58, 224, 288, 37, 61, 26, 0, 0], [1, 1, 22, 9, 227, 79, 189, 323, 16, 68, 25, 0, 0], [1, 1, 23, 0, 261, 9, 273, 267, 30, 74, 20, 1, 0], [1, 1, 23, 0, 262, 2, 294, 232, 65, 53, 27, 0, 0], [1, 1, 23, 1, 254, 30, 238, 302, 9, 81, 19, 1, 0], [1, 1, 23, 1, 255, 23, 259, 267, 44, 60, 26, 0, 0], [1, 1, 23, 2, 248, 44, 224, 302, 23, 67, 25, 0, 0], [1, 1, 23, 3, 241, 65, 189, 337, 2, 74, 24, 0, 0], [1, 2, 0, 104, 80, 84, 448, 8, 141, 90, 0, 0, 2], [1, 2, 0, 108, 56, 141, 385, 29, 162, 69, 3, 3, 1], [1, 2, 0, 109, 49, 162, 350, 64, 141, 76, 2, 3, 1], [1, 2, 0, 109, 50, 155, 371, 29, 176, 55, 9, 2, 1], [1, 2, 0, 110, 42, 183, 315, 99, 120, 83, 1, 3, 1], [1, 2, 0, 110, 43, 176, 336, 64, 155, 62, 8, 2, 1], [1, 2, 0, 110, 44, 169, 357, 29, 190, 41, 15, 1, 1], [1, 2, 0, 110, 45, 163, 371, 15, 190, 55, 1, 7, 0], [1, 2, 0, 111, 35, 204, 280, 134, 99, 90, 0, 3, 1], [1, 2, 0, 111, 36, 197, 301, 99, 134, 69, 7, 2, 1], [1, 2, 0, 111, 37, 190, 322, 64, 169, 48, 14, 1, 1], [1, 2, 0, 111, 38, 183, 343, 29, 204, 27, 21, 0, 1], [1, 2, 0, 111, 38, 184, 336, 50, 169, 62, 0, 7, 0], [1, 2, 0, 111, 39, 177, 357, 15, 204, 41, 7, 6, 0], [1, 2, 0, 112, 29, 218, 266, 134, 113, 76, 6, 2, 1], [1, 2, 0, 112, 30, 211, 287, 99, 148, 55, 13, 1, 1], [1, 2, 0, 112, 31, 204, 308, 64, 183, 34, 20, 0, 1], [1, 2, 0, 112, 32, 198, 322, 50, 183, 48, 6, 6, 0], [1, 2, 0, 112, 33, 191, 343, 15, 218, 27, 13, 5, 0], [1, 2, 0, 113, 22, 239, 231, 169, 92, 83, 5, 2, 1], [1, 2, 0, 113, 23, 232, 252, 134, 127, 62, 12, 1, 1], [1, 2, 0, 113, 24, 225, 273, 99, 162, 41, 19, 0, 1], [1, 2, 0, 113, 25, 219, 287, 85, 162, 55, 5, 6, 0], [1, 2, 0, 113, 26, 212, 308, 50, 197, 34, 12, 5, 0], [1, 2, 0, 113, 27, 205, 329, 15, 232, 13, 19, 4, 0], [1, 2, 0, 114, 15, 260, 196, 204, 71, 90, 4, 2, 1], [1, 2, 0, 114, 16, 253, 217, 169, 106, 69, 11, 1, 1], [1, 2, 0, 114, 17, 246, 238, 134, 141, 48, 18, 0, 1], [1, 2, 0, 114, 18, 240, 252, 120, 141, 62, 4, 6, 0], [1, 2, 0, 114, 19, 233, 273, 85, 176, 41, 11, 5, 0], [1, 2, 0, 114, 20, 226, 294, 50, 211, 20, 18, 4, 0], [1, 2, 0, 115, 8, 281, 161, 239, 50, 97, 3, 2, 1], [1, 2, 0, 115, 9, 274, 182, 204, 85, 76, 10, 1, 1], [1, 2, 0, 115, 10, 267, 203, 169, 120, 55, 17, 0, 1], [1, 2, 0, 115, 11, 261, 217, 155, 120, 69, 3, 6, 0], [1, 2, 0, 115, 12, 254, 238, 120, 155, 48, 10, 5, 0], [1, 2, 0, 115, 13, 247, 259, 85, 190, 27, 17, 4, 0], [1, 2, 0, 115, 14, 240, 280, 50, 225, 6, 24, 3, 0], [1, 2, 0, 116, 1, 302, 126, 274, 29, 104, 2, 2, 1], [1, 2, 0, 116, 2, 295, 147, 239, 64, 83, 9, 1, 1], [1, 2, 0, 116, 3, 288, 168, 204, 99, 62, 16, 0, 1], [1, 2, 0, 116, 4, 282, 182, 190, 99, 76, 2, 6, 0], [1, 2, 0, 116, 5, 275, 203, 155, 134, 55, 9, 5, 0], [1, 2, 0, 116, 6, 268, 224, 120, 169, 34, 16, 4, 0], [1, 2, 0, 116, 7, 261, 245, 85, 204, 13, 23, 3, 0], [1, 2, 0, 117, 0, 282, 210, 120, 183, 20, 22, 3, 0], [1, 2, 1, 101, 77, 106, 420, 8, 169, 68, 3, 3, 1], [1, 2, 1, 102, 70, 127, 385, 43, 148, 75, 2, 3, 1], [1, 2, 1, 102, 71, 120, 406, 8, 183, 54, 9, 2, 1], [1, 2, 1, 103, 63, 148, 350, 78, 127, 82, 1, 3, 1], [1, 2, 1, 103, 64, 141, 371, 43, 162, 61, 8, 2, 1], [1, 2, 1, 103, 65, 134, 392, 8, 197, 40, 15, 1, 1], [1, 2, 1, 104, 56, 169, 315, 113, 106, 89, 0, 3, 1], [1, 2, 1, 104, 57, 162, 336, 78, 141, 68, 7, 2, 1], [1, 2, 1, 104, 58, 155, 357, 43, 176, 47, 14, 1, 1], [1, 2, 1, 104, 59, 148, 378, 8, 211, 26, 21, 0, 1], [1, 2, 1, 104, 59, 149, 371, 29, 176, 61, 0, 7, 0], [1, 2, 1, 105, 50, 183, 301, 113, 120, 75, 6, 2, 1], [1, 2, 1, 105, 51, 176, 322, 78, 155, 54, 13, 1, 1], [1, 2, 1, 105, 52, 169, 343, 43, 190, 33, 20, 0, 1], [1, 2, 1, 105, 53, 163, 357, 29, 190, 47, 6, 6, 0], [1, 2, 1, 106, 43, 204, 266, 148, 99, 82, 5, 2, 1], [1, 2, 1, 106, 44, 197, 287, 113, 134, 61, 12, 1, 1], [1, 2, 1, 106, 45, 190, 308, 78, 169, 40, 19, 0, 1], [1, 2, 1, 106, 46, 184, 322, 64, 169, 54, 5, 6, 0], [1, 2, 1, 106, 47, 177, 343, 29, 204, 33, 12, 5, 0], [1, 2, 1, 107, 36, 225, 231, 183, 78, 89, 4, 2, 1], [1, 2, 1, 107, 37, 218, 252, 148, 113, 68, 11, 1, 1], [1, 2, 1, 107, 38, 211, 273, 113, 148, 47, 18, 0, 1], [1, 2, 1, 107, 39, 205, 287, 99, 148, 61, 4, 6, 0], [1, 2, 1, 107, 40, 198, 308, 64, 183, 40, 11, 5, 0], [1, 2, 1, 107, 41, 191, 329, 29, 218, 19, 18, 4, 0], [1, 2, 1, 108, 29, 246, 196, 218, 57, 96, 3, 2, 1], [1, 2, 1, 108, 30, 239, 217, 183, 92, 75, 10, 1, 1], [1, 2, 1, 108, 31, 232, 238, 148, 127, 54, 17, 0, 1], [1, 2, 1, 108, 32, 226, 252, 134, 127, 68, 3, 6, 0], [1, 2, 1, 108, 33, 219, 273, 99, 162, 47, 10, 5, 0], [1, 2, 1, 108, 34, 212, 294, 64, 197, 26, 17, 4, 0], [1, 2, 1, 108, 35, 205, 315, 29, 232, 5, 24, 3, 0], [1, 2, 1, 109, 22, 267, 161, 253, 36, 103, 2, 2, 1], [1, 2, 1, 109, 23, 260, 182, 218, 71, 82, 9, 1, 1], [1, 2, 1, 109, 24, 253, 203, 183, 106, 61, 16, 0, 1], [1, 2, 1, 109, 25, 247, 217, 169, 106, 75, 2, 6, 0], [1, 2, 1, 109, 26, 240, 238, 134, 141, 54, 9, 5, 0], [1, 2, 1, 109, 27, 233, 259, 99, 176, 33, 16, 4, 0], [1, 2, 1, 109, 28, 226, 280, 64, 211, 12, 23, 3, 0], [1, 2, 1, 110, 15, 288, 126, 288, 15, 110, 1, 2, 1], [1, 2, 1, 110, 16, 281, 147, 253, 50, 89, 8, 1, 1], [1, 2, 1, 110, 17, 274, 168, 218, 85, 68, 15, 0, 1], [1, 2, 1, 110, 18, 268, 182, 204, 85, 82, 1, 6, 0], [1, 2, 1, 110, 19, 261, 203, 169, 120, 61, 8, 5, 0], [1, 2, 1, 110, 20, 254, 224, 134, 155, 40, 15, 4, 0], [1, 2, 1, 110, 21, 247, 245, 99, 190, 19, 22, 3, 0], [1, 2, 1, 111, 9, 302, 112, 288, 29, 96, 7, 1, 1], [1, 2, 1, 111, 10, 295, 133, 253, 64, 75, 14, 0, 1], [1, 2, 1, 111, 11, 289, 147, 239, 64, 89, 0, 6, 0], [1, 2, 1, 111, 12, 282, 168, 204, 99, 68, 7, 5, 0], [1, 2, 1, 111, 13, 275, 189, 169, 134, 47, 14, 4, 0], [1, 2, 1, 111, 14, 268, 210, 134, 169, 26, 21, 3, 0], [1, 2, 1, 111, 15, 261, 231, 99, 204, 5, 28, 2, 0], [1, 2, 1, 112, 2, 323, 77, 323, 8, 103, 6, 1, 1], [1, 2, 1, 112, 3, 316, 98, 288, 43, 82, 13, 0, 1], [1, 2, 1, 112, 5, 303, 133, 239, 78, 75, 6, 5, 0], [1, 2, 1, 112, 6, 296, 154, 204, 113, 54, 13, 4, 0], [1, 2, 1, 112, 7, 289, 175, 169, 148, 33, 20, 3, 0], [1, 2, 1, 112, 8, 282, 196, 134, 183, 12, 27, 2, 0], [1, 2, 1, 113, 0, 310, 140, 204, 127, 40, 19, 3, 0], [1, 2, 1, 113, 1, 303, 161, 169, 162, 19, 26, 2, 0], [1, 2, 2, 95, 91, 92, 420, 22, 155, 74, 2, 3, 1], [1, 2, 2, 96, 84, 113, 385, 57, 134, 81, 1, 3, 1], [1, 2, 2, 96, 85, 106, 406, 22, 169, 60, 8, 2, 1], [1, 2, 2, 97, 77, 134, 350, 92, 113, 88, 0, 3, 1], [1, 2, 2, 97, 78, 127, 371, 57, 148, 67, 7, 2, 1], [1, 2, 2, 97, 79, 120, 392, 22, 183, 46, 14, 1, 1], [1, 2, 2, 97, 80, 114, 406, 8, 183, 60, 0, 7, 0], [1, 2, 2, 98, 71, 148, 336, 92, 127, 74, 6, 2, 1], [1, 2, 2, 98, 72, 141, 357, 57, 162, 53, 13, 1, 1], [1, 2, 2, 98, 73, 134, 378, 22, 197, 32, 20, 0, 1], [1, 2, 2, 98, 74, 128, 392, 8, 197, 46, 6, 6, 0], [1, 2, 2, 99, 64, 169, 301, 127, 106, 81, 5, 2, 1], [1, 2, 2, 99, 65, 162, 322, 92, 141, 60, 12, 1, 1], [1, 2, 2, 99, 66, 155, 343, 57, 176, 39, 19, 0, 1], [1, 2, 2, 99, 67, 149, 357, 43, 176, 53, 5, 6, 0], [1, 2, 2, 99, 68, 142, 378, 8, 211, 32, 12, 5, 0], [1, 2, 2, 100, 57, 190, 266, 162, 85, 88, 4, 2, 1], [1, 2, 2, 100, 58, 183, 287, 127, 120, 67, 11, 1, 1], [1, 2, 2, 100, 59, 176, 308, 92, 155, 46, 18, 0, 1], [1, 2, 2, 100, 60, 170, 322, 78, 155, 60, 4, 6, 0], [1, 2, 2, 100, 61, 163, 343, 43, 190, 39, 11, 5, 0], [1, 2, 2, 100, 62, 156, 364, 8, 225, 18, 18, 4, 0], [1, 2, 2, 101, 50, 211, 231, 197, 64, 95, 3, 2, 1], [1, 2, 2, 101, 51, 204, 252, 162, 99, 74, 10, 1, 1], [1, 2, 2, 101, 52, 197, 273, 127, 134, 53, 17, 0, 1], [1, 2, 2, 101, 53, 191, 287, 113, 134, 67, 3, 6, 0], [1, 2, 2, 101, 54, 184, 308, 78, 169, 46, 10, 5, 0], [1, 2, 2, 101, 55, 177, 329, 43, 204, 25, 17, 4, 0], [1, 2, 2, 101, 56, 170, 350, 8, 239, 4, 24, 3, 0], [1, 2, 2, 102, 43, 232, 196, 232, 43, 102, 2, 2, 1], [1, 2, 2, 102, 44, 225, 217, 197, 78, 81, 9, 1, 1], [1, 2, 2, 102, 45, 218, 238, 162, 113, 60, 16, 0, 1], [1, 2, 2, 102, 46, 212, 252, 148, 113, 74, 2, 6, 0], [1, 2, 2, 102, 47, 205, 273, 113, 148, 53, 9, 5, 0], [1, 2, 2, 102, 48, 198, 294, 78, 183, 32, 16, 4, 0], [1, 2, 2, 102, 49, 191, 315, 43, 218, 11, 23, 3, 0], [1, 2, 2, 103, 36, 253, 161, 267, 22, 109, 1, 2, 1], [1, 2, 2, 103, 37, 246, 182, 232, 57, 88, 8, 1, 1], [1, 2, 2, 103, 38, 239, 203, 197, 92, 67, 15, 0, 1], [1, 2, 2, 103, 39, 233, 217, 183, 92, 81, 1, 6, 0], [1, 2, 2, 103, 40, 226, 238, 148, 127, 60, 8, 5, 0], [1, 2, 2, 103, 41, 219, 259, 113, 162, 39, 15, 4, 0], [1, 2, 2, 103, 42, 212, 280, 78, 197, 18, 22, 3, 0], [1, 2, 2, 104, 29, 274, 126, 302, 1, 116, 0, 2, 1], [1, 2, 2, 104, 30, 267, 147, 267, 36, 95, 7, 1, 1], [1, 2, 2, 104, 31, 260, 168, 232, 71, 74, 14, 0, 1], [1, 2, 2, 104, 32, 254, 182, 218, 71, 88, 0, 6, 0], [1, 2, 2, 104, 33, 247, 203, 183, 106, 67, 7, 5, 0], [1, 2, 2, 104, 34, 240, 224, 148, 141, 46, 14, 4, 0], [1, 2, 2, 104, 35, 233, 245, 113, 176, 25, 21, 3, 0], [1, 2, 2, 104, 36, 226, 266, 78, 211, 4, 28, 2, 0], [1, 2, 2, 105, 23, 288, 112, 302, 15, 102, 6, 1, 1], [1, 2, 2, 105, 24, 281, 133, 267, 50, 81, 13, 0, 1], [1, 2, 2, 105, 26, 268, 168, 218, 85, 74, 6, 5, 0], [1, 2, 2, 105, 27, 261, 189, 183, 120, 53, 13, 4, 0], [1, 2, 2, 105, 28, 254, 210, 148, 155, 32, 20, 3, 0], [1, 2, 2, 105, 29, 247, 231, 113, 190, 11, 27, 2, 0], [1, 2, 2, 106, 17, 302, 98, 302, 29, 88, 12, 0, 1], [1, 2, 2, 106, 19, 289, 133, 253, 64, 81, 5, 5, 0], [1, 2, 2, 106, 20, 282, 154, 218, 99, 60, 12, 4, 0], [1, 2, 2, 106, 21, 275, 175, 183, 134, 39, 19, 3, 0], [1, 2, 2, 106, 22, 268, 196, 148, 169, 18, 26, 2, 0], [1, 2, 2, 107, 10, 323, 63, 337, 8, 95, 11, 0, 1], [1, 2, 2, 107, 12, 310, 98, 288, 43, 88, 4, 5, 0], [1, 2, 2, 107, 13, 303, 119, 253, 78, 67, 11, 4, 0], [1, 2, 2, 107, 14, 296, 140, 218, 113, 46, 18, 3, 0], [1, 2, 2, 107, 15, 289, 161, 183, 148, 25, 25, 2, 0], [1, 2, 2, 107, 16, 282, 182, 148, 183, 4, 32, 1, 0], [1, 2, 2, 108, 5, 331, 63, 323, 22, 95, 3, 5, 0], [1, 2, 2, 108, 6, 324, 84, 288, 57, 74, 10, 4, 0], [1, 2, 2, 108, 7, 317, 105, 253, 92, 53, 17, 3, 0], [1, 2, 2, 108, 8, 310, 126, 218, 127, 32, 24, 2, 0], [1, 2, 2, 108, 9, 303, 147, 183, 162, 11, 31, 1, 0], [1, 2, 2, 109, 0, 338, 70, 288, 71, 60, 16, 3, 0], [1, 2, 2, 109, 1, 331, 91, 253, 106, 39, 23, 2, 0], [1, 2, 2, 109, 2, 324, 112, 218, 141, 18, 30, 1, 0], [1, 2, 3, 88, 112, 57, 455, 1, 162, 73, 2, 3, 1], [1, 2, 3, 89, 105, 78, 420, 36, 141, 80, 1, 3, 1], [1, 2, 3, 89, 106, 71, 441, 1, 176, 59, 8, 2, 1], [1, 2, 3, 90, 98, 99, 385, 71, 120, 87, 0, 3, 1], [1, 2, 3, 90, 99, 92, 406, 36, 155, 66, 7, 2, 1], [1, 2, 3, 90, 100, 85, 427, 1, 190, 45, 14, 1, 1], [1, 2, 3, 91, 92, 113, 371, 71, 134, 73, 6, 2, 1], [1, 2, 3, 91, 93, 106, 392, 36, 169, 52, 13, 1, 1], [1, 2, 3, 91, 94, 99, 413, 1, 204, 31, 20, 0, 1], [1, 2, 3, 92, 85, 134, 336, 106, 113, 80, 5, 2, 1], [1, 2, 3, 92, 86, 127, 357, 71, 148, 59, 12, 1, 1], [1, 2, 3, 92, 87, 120, 378, 36, 183, 38, 19, 0, 1], [1, 2, 3, 92, 88, 114, 392, 22, 183, 52, 5, 6, 0], [1, 2, 3, 93, 78, 155, 301, 141, 92, 87, 4, 2, 1], [1, 2, 3, 93, 79, 148, 322, 106, 127, 66, 11, 1, 1], [1, 2, 3, 93, 80, 141, 343, 71, 162, 45, 18, 0, 1], [1, 2, 3, 93, 81, 135, 357, 57, 162, 59, 4, 6, 0], [1, 2, 3, 93, 82, 128, 378, 22, 197, 38, 11, 5, 0], [1, 2, 3, 94, 71, 176, 266, 176, 71, 94, 3, 2, 1], [1, 2, 3, 94, 72, 169, 287, 141, 106, 73, 10, 1, 1], [1, 2, 3, 94, 73, 162, 308, 106, 141, 52, 17, 0, 1], [1, 2, 3, 94, 74, 156, 322, 92, 141, 66, 3, 6, 0], [1, 2, 3, 94, 75, 149, 343, 57, 176, 45, 10, 5, 0], [1, 2, 3, 94, 76, 142, 364, 22, 211, 24, 17, 4, 0], [1, 2, 3, 95, 64, 197, 231, 211, 50, 101, 2, 2, 1], [1, 2, 3, 95, 65, 190, 252, 176, 85, 80, 9, 1, 1], [1, 2, 3, 95, 66, 183, 273, 141, 120, 59, 16, 0, 1], [1, 2, 3, 95, 67, 177, 287, 127, 120, 73, 2, 6, 0], [1, 2, 3, 95, 68, 170, 308, 92, 155, 52, 9, 5, 0], [1, 2, 3, 95, 69, 163, 329, 57, 190, 31, 16, 4, 0], [1, 2, 3, 95, 70, 156, 350, 22, 225, 10, 23, 3, 0], [1, 2, 3, 96, 57, 218, 196, 246, 29, 108, 1, 2, 1], [1, 2, 3, 96, 58, 211, 217, 211, 64, 87, 8, 1, 1], [1, 2, 3, 96, 59, 204, 238, 176, 99, 66, 15, 0, 1], [1, 2, 3, 96, 60, 198, 252, 162, 99, 80, 1, 6, 0], [1, 2, 3, 96, 61, 191, 273, 127, 134, 59, 8, 5, 0], [1, 2, 3, 96, 62, 184, 294, 92, 169, 38, 15, 4, 0], [1, 2, 3, 96, 63, 177, 315, 57, 204, 17, 22, 3, 0], [1, 2, 3, 97, 50, 239, 161, 281, 8, 115, 0, 2, 1], [1, 2, 3, 97, 51, 232, 182, 246, 43, 94, 7, 1, 1], [1, 2, 3, 97, 52, 225, 203, 211, 78, 73, 14, 0, 1], [1, 2, 3, 97, 53, 219, 217, 197, 78, 87, 0, 6, 0], [1, 2, 3, 97, 54, 212, 238, 162, 113, 66, 7, 5, 0], [1, 2, 3, 97, 55, 205, 259, 127, 148, 45, 14, 4, 0], [1, 2, 3, 97, 56, 198, 280, 92, 183, 24, 21, 3, 0], [1, 2, 3, 97, 57, 191, 301, 57, 218, 3, 28, 2, 0], [1, 2, 3, 98, 44, 253, 147, 281, 22, 101, 6, 1, 1], [1, 2, 3, 98, 45, 246, 168, 246, 57, 80, 13, 0, 1], [1, 2, 3, 98, 47, 233, 203, 197, 92, 73, 6, 5, 0], [1, 2, 3, 98, 48, 226, 224, 162, 127, 52, 13, 4, 0], [1, 2, 3, 98, 49, 219, 245, 127, 162, 31, 20, 3, 0], [1, 2, 3, 98, 50, 212, 266, 92, 197, 10, 27, 2, 0], [1, 2, 3, 99, 37, 274, 112, 316, 1, 108, 5, 1, 1], [1, 2, 3, 99, 38, 267, 133, 281, 36, 87, 12, 0, 1], [1, 2, 3, 99, 40, 254, 168, 232, 71, 80, 5, 5, 0], [1, 2, 3, 99, 41, 247, 189, 197, 106, 59, 12, 4, 0], [1, 2, 3, 99, 42, 240, 210, 162, 141, 38, 19, 3, 0], [1, 2, 3, 99, 43, 233, 231, 127, 176, 17, 26, 2, 0], [1, 2, 3, 100, 31, 288, 98, 316, 15, 94, 11, 0, 1], [1, 2, 3, 100, 33, 275, 133, 267, 50, 87, 4, 5, 0], [1, 2, 3, 100, 34, 268, 154, 232, 85, 66, 11, 4, 0], [1, 2, 3, 100, 35, 261, 175, 197, 120, 45, 18, 3, 0], [1, 2, 3, 100, 36, 254, 196, 162, 155, 24, 25, 2, 0], [1, 2, 3, 100, 37, 247, 217, 127, 190, 3, 32, 1, 0], [1, 2, 3, 101, 26, 296, 98, 302, 29, 94, 3, 5, 0], [1, 2, 3, 101, 27, 289, 119, 267, 64, 73, 10, 4, 0], [1, 2, 3, 101, 28, 282, 140, 232, 99, 52, 17, 3, 0], [1, 2, 3, 101, 29, 275, 161, 197, 134, 31, 24, 2, 0], [1, 2, 3, 101, 30, 268, 182, 162, 169, 10, 31, 1, 0], [1, 2, 3, 102, 19, 317, 63, 337, 8, 101, 2, 5, 0], [1, 2, 3, 102, 20, 310, 84, 302, 43, 80, 9, 4, 0], [1, 2, 3, 102, 21, 303, 105, 267, 78, 59, 16, 3, 0], [1, 2, 3, 102, 22, 296, 126, 232, 113, 38, 23, 2, 0], [1, 2, 3, 102, 23, 289, 147, 197, 148, 17, 30, 1, 0], [1, 2, 3, 103, 13, 331, 49, 337, 22, 87, 8, 4, 0], [1, 2, 3, 103, 14, 324, 70, 302, 57, 66, 15, 3, 0], [1, 2, 3, 103, 15, 317, 91, 267, 92, 45, 22, 2, 0], [1, 2, 3, 103, 16, 310, 112, 232, 127, 24, 29, 1, 0], [1, 2, 3, 103, 17, 303, 133, 197, 162, 3, 36, 0, 0], [1, 2, 3, 104, 6, 352, 14, 372, 1, 94, 7, 4, 0], [1, 2, 3, 104, 7, 345, 35, 337, 36, 73, 14, 3, 0], [1, 2, 3, 104, 8, 338, 56, 302, 71, 52, 21, 2, 0], [1, 2, 3, 104, 9, 331, 77, 267, 106, 31, 28, 1, 0], [1, 2, 3, 104, 10, 324, 98, 232, 141, 10, 35, 0, 0], [1, 2, 3, 105, 0, 366, 0, 372, 15, 80, 13, 3, 0], [1, 2, 3, 105, 1, 359, 21, 337, 50, 59, 20, 2, 0], [1, 2, 3, 105, 2, 352, 42, 302, 85, 38, 27, 1, 0], [1, 2, 3, 105, 3, 345, 63, 267, 120, 17, 34, 0, 0], [1, 2, 4, 82, 126, 43, 455, 15, 148, 79, 1, 3, 1], [1, 2, 4, 83, 119, 64, 420, 50, 127, 86, 0, 3, 1], [1, 2, 4, 83, 120, 57, 441, 15, 162, 65, 7, 2, 1], [1, 2, 4, 84, 113, 78, 406, 50, 141, 72, 6, 2, 1], [1, 2, 4, 84, 114, 71, 427, 15, 176, 51, 13, 1, 1], [1, 2, 4, 85, 106, 99, 371, 85, 120, 79, 5, 2, 1], [1, 2, 4, 85, 107, 92, 392, 50, 155, 58, 12, 1, 1], [1, 2, 4, 85, 108, 85, 413, 15, 190, 37, 19, 0, 1], [1, 2, 4, 85, 109, 79, 427, 1, 190, 51, 5, 6, 0], [1, 2, 4, 86, 99, 120, 336, 120, 99, 86, 4, 2, 1], [1, 2, 4, 86, 100, 113, 357, 85, 134, 65, 11, 1, 1], [1, 2, 4, 86, 101, 106, 378, 50, 169, 44, 18, 0, 1], [1, 2, 4, 86, 102, 100, 392, 36, 169, 58, 4, 6, 0], [1, 2, 4, 86, 103, 93, 413, 1, 204, 37, 11, 5, 0], [1, 2, 4, 87, 92, 141, 301, 155, 78, 93, 3, 2, 1], [1, 2, 4, 87, 93, 134, 322, 120, 113, 72, 10, 1, 1], [1, 2, 4, 87, 94, 127, 343, 85, 148, 51, 17, 0, 1], [1, 2, 4, 87, 95, 121, 357, 71, 148, 65, 3, 6, 0], [1, 2, 4, 87, 96, 114, 378, 36, 183, 44, 10, 5, 0], [1, 2, 4, 87, 97, 107, 399, 1, 218, 23, 17, 4, 0], [1, 2, 4, 88, 85, 162, 266, 190, 57, 100, 2, 2, 1], [1, 2, 4, 88, 86, 155, 287, 155, 92, 79, 9, 1, 1], [1, 2, 4, 88, 87, 148, 308, 120, 127, 58, 16, 0, 1], [1, 2, 4, 88, 88, 142, 322, 106, 127, 72, 2, 6, 0], [1, 2, 4, 88, 89, 135, 343, 71, 162, 51, 9, 5, 0], [1, 2, 4, 88, 90, 128, 364, 36, 197, 30, 16, 4, 0], [1, 2, 4, 88, 91, 121, 385, 1, 232, 9, 23, 3, 0], [1, 2, 4, 89, 78, 183, 231, 225, 36, 107, 1, 2, 1], [1, 2, 4, 89, 79, 176, 252, 190, 71, 86, 8, 1, 1], [1, 2, 4, 89, 80, 169, 273, 155, 106, 65, 15, 0, 1], [1, 2, 4, 89, 81, 163, 287, 141, 106, 79, 1, 6, 0], [1, 2, 4, 89, 82, 156, 308, 106, 141, 58, 8, 5, 0], [1, 2, 4, 89, 83, 149, 329, 71, 176, 37, 15, 4, 0], [1, 2, 4, 89, 84, 142, 350, 36, 211, 16, 22, 3, 0], [1, 2, 4, 90, 71, 204, 196, 260, 15, 114, 0, 2, 1], [1, 2, 4, 90, 72, 197, 217, 225, 50, 93, 7, 1, 1], [1, 2, 4, 90, 73, 190, 238, 190, 85, 72, 14, 0, 1], [1, 2, 4, 90, 74, 184, 252, 176, 85, 86, 0, 6, 0], [1, 2, 4, 90, 75, 177, 273, 141, 120, 65, 7, 5, 0], [1, 2, 4, 90, 76, 170, 294, 106, 155, 44, 14, 4, 0], [1, 2, 4, 90, 77, 163, 315, 71, 190, 23, 21, 3, 0], [1, 2, 4, 90, 78, 156, 336, 36, 225, 2, 28, 2, 0], [1, 2, 4, 91, 65, 218, 182, 260, 29, 100, 6, 1, 1], [1, 2, 4, 91, 66, 211, 203, 225, 64, 79, 13, 0, 1], [1, 2, 4, 91, 68, 198, 238, 176, 99, 72, 6, 5, 0], [1, 2, 4, 91, 69, 191, 259, 141, 134, 51, 13, 4, 0], [1, 2, 4, 91, 70, 184, 280, 106, 169, 30, 20, 3, 0], [1, 2, 4, 91, 71, 177, 301, 71, 204, 9, 27, 2, 0], [1, 2, 4, 92, 58, 239, 147, 295, 8, 107, 5, 1, 1], [1, 2, 4, 92, 59, 232, 168, 260, 43, 86, 12, 0, 1], [1, 2, 4, 92, 61, 219, 203, 211, 78, 79, 5, 5, 0], [1, 2, 4, 92, 62, 212, 224, 176, 113, 58, 12, 4, 0], [1, 2, 4, 92, 63, 205, 245, 141, 148, 37, 19, 3, 0], [1, 2, 4, 92, 64, 198, 266, 106, 183, 16, 26, 2, 0], [1, 2, 4, 93, 52, 253, 133, 295, 22, 93, 11, 0, 1], [1, 2, 4, 93, 54, 240, 168, 246, 57, 86, 4, 5, 0], [1, 2, 4, 93, 55, 233, 189, 211, 92, 65, 11, 4, 0], [1, 2, 4, 93, 56, 226, 210, 176, 127, 44, 18, 3, 0], [1, 2, 4, 93, 57, 219, 231, 141, 162, 23, 25, 2, 0], [1, 2, 4, 93, 58, 212, 252, 106, 197, 2, 32, 1, 0], [1, 2, 4, 94, 45, 274, 98, 330, 1, 100, 10, 0, 1], [1, 2, 4, 94, 47, 261, 133, 281, 36, 93, 3, 5, 0], [1, 2, 4, 94, 48, 254, 154, 246, 71, 72, 10, 4, 0], [1, 2, 4, 94, 49, 247, 175, 211, 106, 51, 17, 3, 0], [1, 2, 4, 94, 50, 240, 196, 176, 141, 30, 24, 2, 0], [1, 2, 4, 94, 51, 233, 217, 141, 176, 9, 31, 1, 0], [1, 2, 4, 95, 40, 282, 98, 316, 15, 100, 2, 5, 0], [1, 2, 4, 95, 41, 275, 119, 281, 50, 79, 9, 4, 0], [1, 2, 4, 95, 42, 268, 140, 246, 85, 58, 16, 3, 0], [1, 2, 4, 95, 43, 261, 161, 211, 120, 37, 23, 2, 0], [1, 2, 4, 95, 44, 254, 182, 176, 155, 16, 30, 1, 0], [1, 2, 4, 96, 34, 296, 84, 316, 29, 86, 8, 4, 0], [1, 2, 4, 96, 35, 289, 105, 281, 64, 65, 15, 3, 0], [1, 2, 4, 96, 36, 282, 126, 246, 99, 44, 22, 2, 0], [1, 2, 4, 96, 37, 275, 147, 211, 134, 23, 29, 1, 0], [1, 2, 4, 96, 38, 268, 168, 176, 169, 2, 36, 0, 0], [1, 2, 4, 97, 27, 317, 49, 351, 8, 93, 7, 4, 0], [1, 2, 4, 97, 28, 310, 70, 316, 43, 72, 14, 3, 0], [1, 2, 4, 97, 29, 303, 91, 281, 78, 51, 21, 2, 0], [1, 2, 4, 97, 30, 296, 112, 246, 113, 30, 28, 1, 0], [1, 2, 4, 97, 31, 289, 133, 211, 148, 9, 35, 0, 0], [1, 2, 4, 98, 21, 331, 35, 351, 22, 79, 13, 3, 0], [1, 2, 4, 98, 22, 324, 56, 316, 57, 58, 20, 2, 0], [1, 2, 4, 98, 23, 317, 77, 281, 92, 37, 27, 1, 0], [1, 2, 4, 98, 24, 310, 98, 246, 127, 16, 34, 0, 0], [1, 2, 4, 99, 14, 352, 0, 386, 1, 86, 12, 3, 0], [1, 2, 4, 99, 15, 345, 21, 351, 36, 65, 19, 2, 0], [1, 2, 4, 99, 16, 338, 42, 316, 71, 44, 26, 1, 0], [1, 2, 4, 99, 17, 331, 63, 281, 106, 23, 33, 0, 0], [1, 2, 4, 100, 9, 359, 7, 351, 50, 51, 25, 1, 0], [1, 2, 4, 100, 10, 352, 28, 316, 85, 30, 32, 0, 0], [1, 2, 5, 76, 140, 29, 455, 29, 134, 85, 0, 3, 1], [1, 2, 5, 77, 134, 43, 441, 29, 148, 71, 6, 2, 1], [1, 2, 5, 78, 127, 64, 406, 64, 127, 78, 5, 2, 1], [1, 2, 5, 78, 128, 57, 427, 29, 162, 57, 12, 1, 1], [1, 2, 5, 79, 120, 85, 371, 99, 106, 85, 4, 2, 1], [1, 2, 5, 79, 121, 78, 392, 64, 141, 64, 11, 1, 1], [1, 2, 5, 79, 122, 71, 413, 29, 176, 43, 18, 0, 1], [1, 2, 5, 79, 123, 65, 427, 15, 176, 57, 4, 6, 0], [1, 2, 5, 80, 113, 106, 336, 134, 85, 92, 3, 2, 1], [1, 2, 5, 80, 114, 99, 357, 99, 120, 71, 10, 1, 1], [1, 2, 5, 80, 115, 92, 378, 64, 155, 50, 17, 0, 1], [1, 2, 5, 80, 116, 86, 392, 50, 155, 64, 3, 6, 0], [1, 2, 5, 80, 117, 79, 413, 15, 190, 43, 10, 5, 0], [1, 2, 5, 81, 106, 127, 301, 169, 64, 99, 2, 2, 1], [1, 2, 5, 81, 107, 120, 322, 134, 99, 78, 9, 1, 1], [1, 2, 5, 81, 108, 113, 343, 99, 134, 57, 16, 0, 1], [1, 2, 5, 81, 109, 107, 357, 85, 134, 71, 2, 6, 0], [1, 2, 5, 81, 110, 100, 378, 50, 169, 50, 9, 5, 0], [1, 2, 5, 81, 111, 93, 399, 15, 204, 29, 16, 4, 0], [1, 2, 5, 82, 99, 148, 266, 204, 43, 106, 1, 2, 1], [1, 2, 5, 82, 100, 141, 287, 169, 78, 85, 8, 1, 1], [1, 2, 5, 82, 101, 134, 308, 134, 113, 64, 15, 0, 1], [1, 2, 5, 82, 102, 128, 322, 120, 113, 78, 1, 6, 0], [1, 2, 5, 82, 103, 121, 343, 85, 148, 57, 8, 5, 0], [1, 2, 5, 82, 104, 114, 364, 50, 183, 36, 15, 4, 0], [1, 2, 5, 82, 105, 107, 385, 15, 218, 15, 22, 3, 0], [1, 2, 5, 83, 92, 169, 231, 239, 22, 113, 0, 2, 1], [1, 2, 5, 83, 93, 162, 252, 204, 57, 92, 7, 1, 1], [1, 2, 5, 83, 94, 155, 273, 169, 92, 71, 14, 0, 1], [1, 2, 5, 83, 95, 149, 287, 155, 92, 85, 0, 6, 0], [1, 2, 5, 83, 96, 142, 308, 120, 127, 64, 7, 5, 0], [1, 2, 5, 83, 97, 135, 329, 85, 162, 43, 14, 4, 0], [1, 2, 5, 83, 98, 128, 350, 50, 197, 22, 21, 3, 0], [1, 2, 5, 83, 99, 121, 371, 15, 232, 1, 28, 2, 0], [1, 2, 5, 84, 86, 183, 217, 239, 36, 99, 6, 1, 1], [1, 2, 5, 84, 87, 176, 238, 204, 71, 78, 13, 0, 1], [1, 2, 5, 84, 89, 163, 273, 155, 106, 71, 6, 5, 0], [1, 2, 5, 84, 90, 156, 294, 120, 141, 50, 13, 4, 0], [1, 2, 5, 84, 91, 149, 315, 85, 176, 29, 20, 3, 0], [1, 2, 5, 84, 92, 142, 336, 50, 211, 8, 27, 2, 0], [1, 2, 5, 85, 79, 204, 182, 274, 15, 106, 5, 1, 1], [1, 2, 5, 85, 80, 197, 203, 239, 50, 85, 12, 0, 1], [1, 2, 5, 85, 82, 184, 238, 190, 85, 78, 5, 5, 0], [1, 2, 5, 85, 83, 177, 259, 155, 120, 57, 12, 4, 0], [1, 2, 5, 85, 84, 170, 280, 120, 155, 36, 19, 3, 0], [1, 2, 5, 85, 85, 163, 301, 85, 190, 15, 26, 2, 0], [1, 2, 5, 86, 73, 218, 168, 274, 29, 92, 11, 0, 1], [1, 2, 5, 86, 75, 205, 203, 225, 64, 85, 4, 5, 0], [1, 2, 5, 86, 76, 198, 224, 190, 99, 64, 11, 4, 0], [1, 2, 5, 86, 77, 191, 245, 155, 134, 43, 18, 3, 0], [1, 2, 5, 86, 78, 184, 266, 120, 169, 22, 25, 2, 0], [1, 2, 5, 86, 79, 177, 287, 85, 204, 1, 32, 1, 0], [1, 2, 5, 87, 66, 239, 133, 309, 8, 99, 10, 0, 1], [1, 2, 5, 87, 68, 226, 168, 260, 43, 92, 3, 5, 0], [1, 2, 5, 87, 69, 219, 189, 225, 78, 71, 10, 4, 0], [1, 2, 5, 87, 70, 212, 210, 190, 113, 50, 17, 3, 0], [1, 2, 5, 87, 71, 205, 231, 155, 148, 29, 24, 2, 0], [1, 2, 5, 87, 72, 198, 252, 120, 183, 8, 31, 1, 0], [1, 2, 5, 88, 61, 247, 133, 295, 22, 99, 2, 5, 0], [1, 2, 5, 88, 62, 240, 154, 260, 57, 78, 9, 4, 0], [1, 2, 5, 88, 63, 233, 175, 225, 92, 57, 16, 3, 0], [1, 2, 5, 88, 64, 226, 196, 190, 127, 36, 23, 2, 0], [1, 2, 5, 88, 65, 219, 217, 155, 162, 15, 30, 1, 0], [1, 2, 5, 89, 54, 268, 98, 330, 1, 106, 1, 5, 0], [1, 2, 5, 89, 55, 261, 119, 295, 36, 85, 8, 4, 0], [1, 2, 5, 89, 56, 254, 140, 260, 71, 64, 15, 3, 0], [1, 2, 5, 89, 57, 247, 161, 225, 106, 43, 22, 2, 0], [1, 2, 5, 89, 58, 240, 182, 190, 141, 22, 29, 1, 0], [1, 2, 5, 89, 59, 233, 203, 155, 176, 1, 36, 0, 0], [1, 2, 5, 90, 48, 282, 84, 330, 15, 92, 7, 4, 0], [1, 2, 5, 90, 49, 275, 105, 295, 50, 71, 14, 3, 0], [1, 2, 5, 90, 50, 268, 126, 260, 85, 50, 21, 2, 0], [1, 2, 5, 90, 51, 261, 147, 225, 120, 29, 28, 1, 0], [1, 2, 5, 90, 52, 254, 168, 190, 155, 8, 35, 0, 0], [1, 2, 5, 91, 42, 296, 70, 330, 29, 78, 13, 3, 0], [1, 2, 5, 91, 43, 289, 91, 295, 64, 57, 20, 2, 0], [1, 2, 5, 91, 44, 282, 112, 260, 99, 36, 27, 1, 0], [1, 2, 5, 91, 45, 275, 133, 225, 134, 15, 34, 0, 0], [1, 2, 5, 92, 35, 317, 35, 365, 8, 85, 12, 3, 0], [1, 2, 5, 92, 36, 310, 56, 330, 43, 64, 19, 2, 0], [1, 2, 5, 92, 37, 303, 77, 295, 78, 43, 26, 1, 0], [1, 2, 5, 92, 38, 296, 98, 260, 113, 22, 33, 0, 0], [1, 2, 5, 93, 29, 331, 21, 365, 22, 71, 18, 2, 0], [1, 2, 5, 93, 30, 324, 42, 330, 57, 50, 25, 1, 0], [1, 2, 5, 93, 31, 317, 63, 295, 92, 29, 32, 0, 0], [1, 2, 5, 94, 23, 345, 7, 365, 36, 57, 24, 1, 0], [1, 2, 5, 94, 24, 338, 28, 330, 71, 36, 31, 0, 0], [1, 2, 6, 70, 155, 8, 476, 8, 155, 70, 6, 2, 1], [1, 2, 6, 71, 148, 29, 441, 43, 134, 77, 5, 2, 1], [1, 2, 6, 71, 149, 22, 462, 8, 169, 56, 12, 1, 1], [1, 2, 6, 72, 141, 50, 406, 78, 113, 84, 4, 2, 1], [1, 2, 6, 72, 142, 43, 427, 43, 148, 63, 11, 1, 1], [1, 2, 6, 72, 143, 36, 448, 8, 183, 42, 18, 0, 1], [1, 2, 6, 73, 134, 71, 371, 113, 92, 91, 3, 2, 1], [1, 2, 6, 73, 135, 64, 392, 78, 127, 70, 10, 1, 1], [1, 2, 6, 73, 136, 57, 413, 43, 162, 49, 17, 0, 1], [1, 2, 6, 73, 137, 51, 427, 29, 162, 63, 3, 6, 0], [1, 2, 6, 74, 127, 92, 336, 148, 71, 98, 2, 2, 1], [1, 2, 6, 74, 128, 85, 357, 113, 106, 77, 9, 1, 1], [1, 2, 6, 74, 129, 78, 378, 78, 141, 56, 16, 0, 1], [1, 2, 6, 74, 130, 72, 392, 64, 141, 70, 2, 6, 0], [1, 2, 6, 74, 131, 65, 413, 29, 176, 49, 9, 5, 0], [1, 2, 6, 75, 120, 113, 301, 183, 50, 105, 1, 2, 1], [1, 2, 6, 75, 121, 106, 322, 148, 85, 84, 8, 1, 1], [1, 2, 6, 75, 122, 99, 343, 113, 120, 63, 15, 0, 1], [1, 2, 6, 75, 123, 93, 357, 99, 120, 77, 1, 6, 0], [1, 2, 6, 75, 124, 86, 378, 64, 155, 56, 8, 5, 0], [1, 2, 6, 75, 125, 79, 399, 29, 190, 35, 15, 4, 0], [1, 2, 6, 76, 113, 134, 266, 218, 29, 112, 0, 2, 1], [1, 2, 6, 76, 114, 127, 287, 183, 64, 91, 7, 1, 1], [1, 2, 6, 76, 115, 120, 308, 148, 99, 70, 14, 0, 1], [1, 2, 6, 76, 116, 114, 322, 134, 99, 84, 0, 6, 0], [1, 2, 6, 76, 117, 107, 343, 99, 134, 63, 7, 5, 0], [1, 2, 6, 76, 118, 100, 364, 64, 169, 42, 14, 4, 0], [1, 2, 6, 76, 119, 93, 385, 29, 204, 21, 21, 3, 0], [1, 2, 6, 77, 107, 148, 252, 218, 43, 98, 6, 1, 1], [1, 2, 6, 77, 108, 141, 273, 183, 78, 77, 13, 0, 1], [1, 2, 6, 77, 110, 128, 308, 134, 113, 70, 6, 5, 0], [1, 2, 6, 77, 111, 121, 329, 99, 148, 49, 13, 4, 0], [1, 2, 6, 77, 112, 114, 350, 64, 183, 28, 20, 3, 0], [1, 2, 6, 77, 113, 107, 371, 29, 218, 7, 27, 2, 0], [1, 2, 6, 78, 100, 169, 217, 253, 22, 105, 5, 1, 1], [1, 2, 6, 78, 101, 162, 238, 218, 57, 84, 12, 0, 1], [1, 2, 6, 78, 103, 149, 273, 169, 92, 77, 5, 5, 0], [1, 2, 6, 78, 104, 142, 294, 134, 127, 56, 12, 4, 0], [1, 2, 6, 78, 105, 135, 315, 99, 162, 35, 19, 3, 0], [1, 2, 6, 78, 106, 128, 336, 64, 197, 14, 26, 2, 0], [1, 2, 6, 79, 93, 190, 182, 288, 1, 112, 4, 1, 1], [1, 2, 6, 79, 94, 183, 203, 253, 36, 91, 11, 0, 1], [1, 2, 6, 79, 96, 170, 238, 204, 71, 84, 4, 5, 0], [1, 2, 6, 79, 97, 163, 259, 169, 106, 63, 11, 4, 0], [1, 2, 6, 79, 98, 156, 280, 134, 141, 42, 18, 3, 0], [1, 2, 6, 79, 99, 149, 301, 99, 176, 21, 25, 2, 0], [1, 2, 6, 79, 100, 142, 322, 64, 211, 0, 32, 1, 0], [1, 2, 6, 80, 87, 204, 168, 288, 15, 98, 10, 0, 1], [1, 2, 6, 80, 89, 191, 203, 239, 50, 91, 3, 5, 0], [1, 2, 6, 80, 90, 184, 224, 204, 85, 70, 10, 4, 0], [1, 2, 6, 80, 91, 177, 245, 169, 120, 49, 17, 3, 0], [1, 2, 6, 80, 92, 170, 266, 134, 155, 28, 24, 2, 0], [1, 2, 6, 80, 93, 163, 287, 99, 190, 7, 31, 1, 0], [1, 2, 6, 81, 82, 212, 168, 274, 29, 98, 2, 5, 0], [1, 2, 6, 81, 83, 205, 189, 239, 64, 77, 9, 4, 0], [1, 2, 6, 81, 84, 198, 210, 204, 99, 56, 16, 3, 0], [1, 2, 6, 81, 85, 191, 231, 169, 134, 35, 23, 2, 0], [1, 2, 6, 81, 86, 184, 252, 134, 169, 14, 30, 1, 0], [1, 2, 6, 82, 75, 233, 133, 309, 8, 105, 1, 5, 0], [1, 2, 6, 82, 76, 226, 154, 274, 43, 84, 8, 4, 0], [1, 2, 6, 82, 77, 219, 175, 239, 78, 63, 15, 3, 0], [1, 2, 6, 82, 78, 212, 196, 204, 113, 42, 22, 2, 0], [1, 2, 6, 82, 79, 205, 217, 169, 148, 21, 29, 1, 0], [1, 2, 6, 82, 80, 198, 238, 134, 183, 0, 36, 0, 0], [1, 2, 6, 83, 69, 247, 119, 309, 22, 91, 7, 4, 0], [1, 2, 6, 83, 70, 240, 140, 274, 57, 70, 14, 3, 0], [1, 2, 6, 83, 71, 233, 161, 239, 92, 49, 21, 2, 0], [1, 2, 6, 83, 72, 226, 182, 204, 127, 28, 28, 1, 0], [1, 2, 6, 83, 73, 219, 203, 169, 162, 7, 35, 0, 0], [1, 2, 6, 84, 62, 268, 84, 344, 1, 98, 6, 4, 0], [1, 2, 6, 84, 63, 261, 105, 309, 36, 77, 13, 3, 0], [1, 2, 6, 84, 64, 254, 126, 274, 71, 56, 20, 2, 0], [1, 2, 6, 84, 65, 247, 147, 239, 106, 35, 27, 1, 0], [1, 2, 6, 84, 66, 240, 168, 204, 141, 14, 34, 0, 0], [1, 2, 6, 85, 56, 282, 70, 344, 15, 84, 12, 3, 0], [1, 2, 6, 85, 57, 275, 91, 309, 50, 63, 19, 2, 0], [1, 2, 6, 85, 58, 268, 112, 274, 85, 42, 26, 1, 0], [1, 2, 6, 85, 59, 261, 133, 239, 120, 21, 33, 0, 0], [1, 2, 6, 86, 50, 296, 56, 344, 29, 70, 18, 2, 0], [1, 2, 6, 86, 51, 289, 77, 309, 64, 49, 25, 1, 0], [1, 2, 6, 86, 52, 282, 98, 274, 99, 28, 32, 0, 0], [1, 2, 6, 87, 43, 317, 21, 379, 8, 77, 17, 2, 0], [1, 2, 6, 87, 44, 310, 42, 344, 43, 56, 24, 1, 0], [1, 2, 6, 87, 45, 303, 63, 309, 78, 35, 31, 0, 0], [1, 2, 6, 88, 37, 331, 7, 379, 22, 63, 23, 1, 0], [1, 2, 6, 88, 38, 324, 28, 344, 57, 42, 30, 0, 0], [1, 2, 7, 65, 162, 15, 441, 57, 120, 83, 4, 2, 1], [1, 2, 7, 65, 163, 8, 462, 22, 155, 62, 11, 1, 1], [1, 2, 7, 66, 155, 36, 406, 92, 99, 90, 3, 2, 1], [1, 2, 7, 66, 156, 29, 427, 57, 134, 69, 10, 1, 1], [1, 2, 7, 66, 157, 22, 448, 22, 169, 48, 17, 0, 1], [1, 2, 7, 66, 158, 16, 462, 8, 169, 62, 3, 6, 0], [1, 2, 7, 67, 148, 57, 371, 127, 78, 97, 2, 2, 1], [1, 2, 7, 67, 149, 50, 392, 92, 113, 76, 9, 1, 1], [1, 2, 7, 67, 150, 43, 413, 57, 148, 55, 16, 0, 1], [1, 2, 7, 67, 151, 37, 427, 43, 148, 69, 2, 6, 0], [1, 2, 7, 67, 152, 30, 448, 8, 183, 48, 9, 5, 0], [1, 2, 7, 68, 141, 78, 336, 162, 57, 104, 1, 2, 1], [1, 2, 7, 68, 142, 71, 357, 127, 92, 83, 8, 1, 1], [1, 2, 7, 68, 143, 64, 378, 92, 127, 62, 15, 0, 1], [1, 2, 7, 68, 144, 58, 392, 78, 127, 76, 1, 6, 0], [1, 2, 7, 68, 145, 51, 413, 43, 162, 55, 8, 5, 0], [1, 2, 7, 68, 146, 44, 434, 8, 197, 34, 15, 4, 0], [1, 2, 7, 69, 134, 99, 301, 197, 36, 111, 0, 2, 1], [1, 2, 7, 69, 135, 92, 322, 162, 71, 90, 7, 1, 1], [1, 2, 7, 69, 136, 85, 343, 127, 106, 69, 14, 0, 1], [1, 2, 7, 69, 137, 79, 357, 113, 106, 83, 0, 6, 0], [1, 2, 7, 69, 138, 72, 378, 78, 141, 62, 7, 5, 0], [1, 2, 7, 69, 139, 65, 399, 43, 176, 41, 14, 4, 0], [1, 2, 7, 69, 140, 58, 420, 8, 211, 20, 21, 3, 0], [1, 2, 7, 70, 128, 113, 287, 197, 50, 97, 6, 1, 1], [1, 2, 7, 70, 129, 106, 308, 162, 85, 76, 13, 0, 1], [1, 2, 7, 70, 131, 93, 343, 113, 120, 69, 6, 5, 0], [1, 2, 7, 70, 132, 86, 364, 78, 155, 48, 13, 4, 0], [1, 2, 7, 70, 133, 79, 385, 43, 190, 27, 20, 3, 0], [1, 2, 7, 70, 134, 72, 406, 8, 225, 6, 27, 2, 0], [1, 2, 7, 71, 121, 134, 252, 232, 29, 104, 5, 1, 1], [1, 2, 7, 71, 122, 127, 273, 197, 64, 83, 12, 0, 1], [1, 2, 7, 71, 124, 114, 308, 148, 99, 76, 5, 5, 0], [1, 2, 7, 71, 125, 107, 329, 113, 134, 55, 12, 4, 0], [1, 2, 7, 71, 126, 100, 350, 78, 169, 34, 19, 3, 0], [1, 2, 7, 71, 127, 93, 371, 43, 204, 13, 26, 2, 0], [1, 2, 7, 72, 114, 155, 217, 267, 8, 111, 4, 1, 1], [1, 2, 7, 72, 115, 148, 238, 232, 43, 90, 11, 0, 1], [1, 2, 7, 72, 117, 135, 273, 183, 78, 83, 4, 5, 0], [1, 2, 7, 72, 118, 128, 294, 148, 113, 62, 11, 4, 0], [1, 2, 7, 72, 119, 121, 315, 113, 148, 41, 18, 3, 0], [1, 2, 7, 72, 120, 114, 336, 78, 183, 20, 25, 2, 0], [1, 2, 7, 73, 108, 169, 203, 267, 22, 97, 10, 0, 1], [1, 2, 7, 73, 110, 156, 238, 218, 57, 90, 3, 5, 0], [1, 2, 7, 73, 111, 149, 259, 183, 92, 69, 10, 4, 0], [1, 2, 7, 73, 112, 142, 280, 148, 127, 48, 17, 3, 0], [1, 2, 7, 73, 113, 135, 301, 113, 162, 27, 24, 2, 0], [1, 2, 7, 73, 114, 128, 322, 78, 197, 6, 31, 1, 0], [1, 2, 7, 74, 101, 190, 168, 302, 1, 104, 9, 0, 1], [1, 2, 7, 74, 103, 177, 203, 253, 36, 97, 2, 5, 0], [1, 2, 7, 74, 104, 170, 224, 218, 71, 76, 9, 4, 0], [1, 2, 7, 74, 105, 163, 245, 183, 106, 55, 16, 3, 0], [1, 2, 7, 74, 106, 156, 266, 148, 141, 34, 23, 2, 0], [1, 2, 7, 74, 107, 149, 287, 113, 176, 13, 30, 1, 0], [1, 2, 7, 75, 96, 198, 168, 288, 15, 104, 1, 5, 0], [1, 2, 7, 75, 97, 191, 189, 253, 50, 83, 8, 4, 0], [1, 2, 7, 75, 98, 184, 210, 218, 85, 62, 15, 3, 0], [1, 2, 7, 75, 99, 177, 231, 183, 120, 41, 22, 2, 0], [1, 2, 7, 75, 100, 170, 252, 148, 155, 20, 29, 1, 0], [1, 2, 7, 76, 90, 212, 154, 288, 29, 90, 7, 4, 0], [1, 2, 7, 76, 91, 205, 175, 253, 64, 69, 14, 3, 0], [1, 2, 7, 76, 92, 198, 196, 218, 99, 48, 21, 2, 0], [1, 2, 7, 76, 93, 191, 217, 183, 134, 27, 28, 1, 0], [1, 2, 7, 76, 94, 184, 238, 148, 169, 6, 35, 0, 0], [1, 2, 7, 77, 83, 233, 119, 323, 8, 97, 6, 4, 0], [1, 2, 7, 77, 84, 226, 140, 288, 43, 76, 13, 3, 0], [1, 2, 7, 77, 85, 219, 161, 253, 78, 55, 20, 2, 0], [1, 2, 7, 77, 86, 212, 182, 218, 113, 34, 27, 1, 0], [1, 2, 7, 77, 87, 205, 203, 183, 148, 13, 34, 0, 0], [1, 2, 7, 78, 77, 247, 105, 323, 22, 83, 12, 3, 0], [1, 2, 7, 78, 78, 240, 126, 288, 57, 62, 19, 2, 0], [1, 2, 7, 78, 79, 233, 147, 253, 92, 41, 26, 1, 0], [1, 2, 7, 78, 80, 226, 168, 218, 127, 20, 33, 0, 0], [1, 2, 7, 79, 70, 268, 70, 358, 1, 90, 11, 3, 0], [1, 2, 7, 79, 71, 261, 91, 323, 36, 69, 18, 2, 0], [1, 2, 7, 79, 72, 254, 112, 288, 71, 48, 25, 1, 0], [1, 2, 7, 79, 73, 247, 133, 253, 106, 27, 32, 0, 0], [1, 2, 7, 80, 64, 282, 56, 358, 15, 76, 17, 2, 0], [1, 2, 7, 80, 65, 275, 77, 323, 50, 55, 24, 1, 0], [1, 2, 7, 80, 66, 268, 98, 288, 85, 34, 31, 0, 0], [1, 2, 7, 81, 58, 296, 42, 358, 29, 62, 23, 1, 0], [1, 2, 7, 81, 59, 289, 63, 323, 64, 41, 30, 0, 0], [1, 2, 7, 82, 51, 317, 7, 393, 8, 69, 22, 1, 0], [1, 2, 7, 82, 52, 310, 28, 358, 43, 48, 29, 0, 0], [1, 2, 8, 59, 176, 1, 441, 71, 106, 89, 3, 2, 1], [1, 2, 8, 60, 169, 22, 406, 106, 85, 96, 2, 2, 1], [1, 2, 8, 60, 170, 15, 427, 71, 120, 75, 9, 1, 1], [1, 2, 8, 60, 171, 8, 448, 36, 155, 54, 16, 0, 1], [1, 2, 8, 60, 172, 2, 462, 22, 155, 68, 2, 6, 0], [1, 2, 8, 61, 162, 43, 371, 141, 64, 103, 1, 2, 1], [1, 2, 8, 61, 163, 36, 392, 106, 99, 82, 8, 1, 1], [1, 2, 8, 61, 164, 29, 413, 71, 134, 61, 15, 0, 1], [1, 2, 8, 61, 165, 23, 427, 57, 134, 75, 1, 6, 0], [1, 2, 8, 61, 166, 16, 448, 22, 169, 54, 8, 5, 0], [1, 2, 8, 62, 155, 64, 336, 176, 43, 110, 0, 2, 1], [1, 2, 8, 62, 156, 57, 357, 141, 78, 89, 7, 1, 1], [1, 2, 8, 62, 157, 50, 378, 106, 113, 68, 14, 0, 1], [1, 2, 8, 62, 158, 44, 392, 92, 113, 82, 0, 6, 0], [1, 2, 8, 62, 159, 37, 413, 57, 148, 61, 7, 5, 0], [1, 2, 8, 62, 160, 30, 434, 22, 183, 40, 14, 4, 0], [1, 2, 8, 63, 149, 78, 322, 176, 57, 96, 6, 1, 1], [1, 2, 8, 63, 150, 71, 343, 141, 92, 75, 13, 0, 1], [1, 2, 8, 63, 152, 58, 378, 92, 127, 68, 6, 5, 0], [1, 2, 8, 63, 153, 51, 399, 57, 162, 47, 13, 4, 0], [1, 2, 8, 63, 154, 44, 420, 22, 197, 26, 20, 3, 0], [1, 2, 8, 64, 142, 99, 287, 211, 36, 103, 5, 1, 1], [1, 2, 8, 64, 143, 92, 308, 176, 71, 82, 12, 0, 1], [1, 2, 8, 64, 145, 79, 343, 127, 106, 75, 5, 5, 0], [1, 2, 8, 64, 146, 72, 364, 92, 141, 54, 12, 4, 0], [1, 2, 8, 64, 147, 65, 385, 57, 176, 33, 19, 3, 0], [1, 2, 8, 64, 148, 58, 406, 22, 211, 12, 26, 2, 0], [1, 2, 8, 65, 135, 120, 252, 246, 15, 110, 4, 1, 1], [1, 2, 8, 65, 136, 113, 273, 211, 50, 89, 11, 0, 1], [1, 2, 8, 65, 138, 100, 308, 162, 85, 82, 4, 5, 0], [1, 2, 8, 65, 139, 93, 329, 127, 120, 61, 11, 4, 0], [1, 2, 8, 65, 140, 86, 350, 92, 155, 40, 18, 3, 0], [1, 2, 8, 65, 141, 79, 371, 57, 190, 19, 25, 2, 0], [1, 2, 8, 66, 129, 134, 238, 246, 29, 96, 10, 0, 1], [1, 2, 8, 66, 131, 121, 273, 197, 64, 89, 3, 5, 0], [1, 2, 8, 66, 132, 114, 294, 162, 99, 68, 10, 4, 0], [1, 2, 8, 66, 133, 107, 315, 127, 134, 47, 17, 3, 0], [1, 2, 8, 66, 134, 100, 336, 92, 169, 26, 24, 2, 0], [1, 2, 8, 66, 135, 93, 357, 57, 204, 5, 31, 1, 0], [1, 2, 8, 67, 122, 155, 203, 281, 8, 103, 9, 0, 1], [1, 2, 8, 67, 124, 142, 238, 232, 43, 96, 2, 5, 0], [1, 2, 8, 67, 125, 135, 259, 197, 78, 75, 9, 4, 0], [1, 2, 8, 67, 126, 128, 280, 162, 113, 54, 16, 3, 0], [1, 2, 8, 67, 127, 121, 301, 127, 148, 33, 23, 2, 0], [1, 2, 8, 67, 128, 114, 322, 92, 183, 12, 30, 1, 0], [1, 2, 8, 68, 117, 163, 203, 267, 22, 103, 1, 5, 0], [1, 2, 8, 68, 118, 156, 224, 232, 57, 82, 8, 4, 0], [1, 2, 8, 68, 119, 149, 245, 197, 92, 61, 15, 3, 0], [1, 2, 8, 68, 120, 142, 266, 162, 127, 40, 22, 2, 0], [1, 2, 8, 68, 121, 135, 287, 127, 162, 19, 29, 1, 0], [1, 2, 8, 69, 110, 184, 168, 302, 1, 110, 0, 5, 0], [1, 2, 8, 69, 111, 177, 189, 267, 36, 89, 7, 4, 0], [1, 2, 8, 69, 112, 170, 210, 232, 71, 68, 14, 3, 0], [1, 2, 8, 69, 113, 163, 231, 197, 106, 47, 21, 2, 0], [1, 2, 8, 69, 114, 156, 252, 162, 141, 26, 28, 1, 0], [1, 2, 8, 69, 115, 149, 273, 127, 176, 5, 35, 0, 0], [1, 2, 8, 70, 104, 198, 154, 302, 15, 96, 6, 4, 0], [1, 2, 8, 70, 105, 191, 175, 267, 50, 75, 13, 3, 0], [1, 2, 8, 70, 106, 184, 196, 232, 85, 54, 20, 2, 0], [1, 2, 8, 70, 107, 177, 217, 197, 120, 33, 27, 1, 0], [1, 2, 8, 70, 108, 170, 238, 162, 155, 12, 34, 0, 0], [1, 2, 8, 71, 98, 212, 140, 302, 29, 82, 12, 3, 0], [1, 2, 8, 71, 99, 205, 161, 267, 64, 61, 19, 2, 0], [1, 2, 8, 71, 100, 198, 182, 232, 99, 40, 26, 1, 0], [1, 2, 8, 71, 101, 191, 203, 197, 134, 19, 33, 0, 0], [1, 2, 8, 72, 91, 233, 105, 337, 8, 89, 11, 3, 0], [1, 2, 8, 72, 92, 226, 126, 302, 43, 68, 18, 2, 0], [1, 2, 8, 72, 93, 219, 147, 267, 78, 47, 25, 1, 0], [1, 2, 8, 72, 94, 212, 168, 232, 113, 26, 32, 0, 0], [1, 2, 8, 73, 85, 247, 91, 337, 22, 75, 17, 2, 0], [1, 2, 8, 73, 86, 240, 112, 302, 57, 54, 24, 1, 0], [1, 2, 8, 73, 87, 233, 133, 267, 92, 33, 31, 0, 0], [1, 2, 8, 74, 78, 268, 56, 372, 1, 82, 16, 2, 0], [1, 2, 8, 74, 79, 261, 77, 337, 36, 61, 23, 1, 0], [1, 2, 8, 74, 80, 254, 98, 302, 71, 40, 30, 0, 0], [1, 2, 8, 75, 72, 282, 42, 372, 15, 68, 22, 1, 0], [1, 2, 8, 75, 73, 275, 63, 337, 50, 47, 29, 0, 0], [1, 2, 8, 76, 66, 296, 28, 372, 29, 54, 28, 0, 0], [1, 2, 9, 54, 183, 8, 406, 120, 71, 102, 1, 2, 1], [1, 2, 9, 54, 184, 1, 427, 85, 106, 81, 8, 1, 1], [1, 2, 9, 55, 176, 29, 371, 155, 50, 109, 0, 2, 1], [1, 2, 9, 55, 177, 22, 392, 120, 85, 88, 7, 1, 1], [1, 2, 9, 55, 178, 15, 413, 85, 120, 67, 14, 0, 1], [1, 2, 9, 55, 179, 9, 427, 71, 120, 81, 0, 6, 0], [1, 2, 9, 55, 180, 2, 448, 36, 155, 60, 7, 5, 0], [1, 2, 9, 56, 170, 43, 357, 155, 64, 95, 6, 1, 1], [1, 2, 9, 56, 171, 36, 378, 120, 99, 74, 13, 0, 1], [1, 2, 9, 56, 173, 23, 413, 71, 134, 67, 6, 5, 0], [1, 2, 9, 56, 174, 16, 434, 36, 169, 46, 13, 4, 0], [1, 2, 9, 56, 175, 9, 455, 1, 204, 25, 20, 3, 0], [1, 2, 9, 57, 163, 64, 322, 190, 43, 102, 5, 1, 1], [1, 2, 9, 57, 164, 57, 343, 155, 78, 81, 12, 0, 1], [1, 2, 9, 57, 166, 44, 378, 106, 113, 74, 5, 5, 0], [1, 2, 9, 57, 167, 37, 399, 71, 148, 53, 12, 4, 0], [1, 2, 9, 57, 168, 30, 420, 36, 183, 32, 19, 3, 0], [1, 2, 9, 57, 169, 23, 441, 1, 218, 11, 26, 2, 0], [1, 2, 9, 58, 156, 85, 287, 225, 22, 109, 4, 1, 1], [1, 2, 9, 58, 157, 78, 308, 190, 57, 88, 11, 0, 1], [1, 2, 9, 58, 159, 65, 343, 141, 92, 81, 4, 5, 0], [1, 2, 9, 58, 160, 58, 364, 106, 127, 60, 11, 4, 0], [1, 2, 9, 58, 161, 51, 385, 71, 162, 39, 18, 3, 0], [1, 2, 9, 58, 162, 44, 406, 36, 197, 18, 25, 2, 0], [1, 2, 9, 59, 149, 106, 252, 260, 1, 116, 3, 1, 1], [1, 2, 9, 59, 150, 99, 273, 225, 36, 95, 10, 0, 1], [1, 2, 9, 59, 152, 86, 308, 176, 71, 88, 3, 5, 0], [1, 2, 9, 59, 153, 79, 329, 141, 106, 67, 10, 4, 0], [1, 2, 9, 59, 154, 72, 350, 106, 141, 46, 17, 3, 0], [1, 2, 9, 59, 155, 65, 371, 71, 176, 25, 24, 2, 0], [1, 2, 9, 59, 156, 58, 392, 36, 211, 4, 31, 1, 0], [1, 2, 9, 60, 143, 120, 238, 260, 15, 102, 9, 0, 1], [1, 2, 9, 60, 145, 107, 273, 211, 50, 95, 2, 5, 0], [1, 2, 9, 60, 146, 100, 294, 176, 85, 74, 9, 4, 0], [1, 2, 9, 60, 147, 93, 315, 141, 120, 53, 16, 3, 0], [1, 2, 9, 60, 148, 86, 336, 106, 155, 32, 23, 2, 0], [1, 2, 9, 60, 149, 79, 357, 71, 190, 11, 30, 1, 0], [1, 2, 9, 61, 138, 128, 238, 246, 29, 102, 1, 5, 0], [1, 2, 9, 61, 139, 121, 259, 211, 64, 81, 8, 4, 0], [1, 2, 9, 61, 140, 114, 280, 176, 99, 60, 15, 3, 0], [1, 2, 9, 61, 141, 107, 301, 141, 134, 39, 22, 2, 0], [1, 2, 9, 61, 142, 100, 322, 106, 169, 18, 29, 1, 0], [1, 2, 9, 62, 131, 149, 203, 281, 8, 109, 0, 5, 0], [1, 2, 9, 62, 132, 142, 224, 246, 43, 88, 7, 4, 0], [1, 2, 9, 62, 133, 135, 245, 211, 78, 67, 14, 3, 0], [1, 2, 9, 62, 134, 128, 266, 176, 113, 46, 21, 2, 0], [1, 2, 9, 62, 135, 121, 287, 141, 148, 25, 28, 1, 0], [1, 2, 9, 62, 136, 114, 308, 106, 183, 4, 35, 0, 0], [1, 2, 9, 63, 125, 163, 189, 281, 22, 95, 6, 4, 0], [1, 2, 9, 63, 126, 156, 210, 246, 57, 74, 13, 3, 0], [1, 2, 9, 63, 127, 149, 231, 211, 92, 53, 20, 2, 0], [1, 2, 9, 63, 128, 142, 252, 176, 127, 32, 27, 1, 0], [1, 2, 9, 63, 129, 135, 273, 141, 162, 11, 34, 0, 0], [1, 2, 9, 64, 118, 184, 154, 316, 1, 102, 5, 4, 0], [1, 2, 9, 64, 119, 177, 175, 281, 36, 81, 12, 3, 0], [1, 2, 9, 64, 120, 170, 196, 246, 71, 60, 19, 2, 0], [1, 2, 9, 64, 121, 163, 217, 211, 106, 39, 26, 1, 0], [1, 2, 9, 64, 122, 156, 238, 176, 141, 18, 33, 0, 0], [1, 2, 9, 65, 112, 198, 140, 316, 15, 88, 11, 3, 0], [1, 2, 9, 65, 113, 191, 161, 281, 50, 67, 18, 2, 0], [1, 2, 9, 65, 114, 184, 182, 246, 85, 46, 25, 1, 0], [1, 2, 9, 65, 115, 177, 203, 211, 120, 25, 32, 0, 0], [1, 2, 9, 66, 106, 212, 126, 316, 29, 74, 17, 2, 0], [1, 2, 9, 66, 107, 205, 147, 281, 64, 53, 24, 1, 0], [1, 2, 9, 66, 108, 198, 168, 246, 99, 32, 31, 0, 0], [1, 2, 9, 67, 99, 233, 91, 351, 8, 81, 16, 2, 0], [1, 2, 9, 67, 100, 226, 112, 316, 43, 60, 23, 1, 0], [1, 2, 9, 67, 101, 219, 133, 281, 78, 39, 30, 0, 0], [1, 2, 9, 68, 93, 247, 77, 351, 22, 67, 22, 1, 0], [1, 2, 9, 68, 94, 240, 98, 316, 57, 46, 29, 0, 0], [1, 2, 9, 69, 86, 268, 42, 386, 1, 74, 21, 1, 0], [1, 2, 9, 69, 87, 261, 63, 351, 36, 53, 28, 0, 0], [1, 2, 9, 70, 80, 282, 28, 386, 15, 60, 27, 0, 0], [1, 2, 10, 49, 191, 8, 392, 134, 71, 94, 6, 1, 1], [1, 2, 10, 49, 192, 1, 413, 99, 106, 73, 13, 0, 1], [1, 2, 10, 50, 184, 29, 357, 169, 50, 101, 5, 1, 1], [1, 2, 10, 50, 185, 22, 378, 134, 85, 80, 12, 0, 1], [1, 2, 10, 50, 187, 9, 413, 85, 120, 73, 5, 5, 0], [1, 2, 10, 50, 188, 2, 434, 50, 155, 52, 12, 4, 0], [1, 2, 10, 51, 177, 50, 322, 204, 29, 108, 4, 1, 1], [1, 2, 10, 51, 178, 43, 343, 169, 64, 87, 11, 0, 1], [1, 2, 10, 51, 180, 30, 378, 120, 99, 80, 4, 5, 0], [1, 2, 10, 51, 181, 23, 399, 85, 134, 59, 11, 4, 0], [1, 2, 10, 51, 182, 16, 420, 50, 169, 38, 18, 3, 0], [1, 2, 10, 51, 183, 9, 441, 15, 204, 17, 25, 2, 0], [1, 2, 10, 52, 170, 71, 287, 239, 8, 115, 3, 1, 1], [1, 2, 10, 52, 171, 64, 308, 204, 43, 94, 10, 0, 1], [1, 2, 10, 52, 173, 51, 343, 155, 78, 87, 3, 5, 0], [1, 2, 10, 52, 174, 44, 364, 120, 113, 66, 10, 4, 0], [1, 2, 10, 52, 175, 37, 385, 85, 148, 45, 17, 3, 0], [1, 2, 10, 52, 176, 30, 406, 50, 183, 24, 24, 2, 0], [1, 2, 10, 52, 177, 23, 427, 15, 218, 3, 31, 1, 0], [1, 2, 10, 53, 164, 85, 273, 239, 22, 101, 9, 0, 1], [1, 2, 10, 53, 166, 72, 308, 190, 57, 94, 2, 5, 0], [1, 2, 10, 53, 167, 65, 329, 155, 92, 73, 9, 4, 0], [1, 2, 10, 53, 168, 58, 350, 120, 127, 52, 16, 3, 0], [1, 2, 10, 53, 169, 51, 371, 85, 162, 31, 23, 2, 0], [1, 2, 10, 53, 170, 44, 392, 50, 197, 10, 30, 1, 0], [1, 2, 10, 54, 157, 106, 238, 274, 1, 108, 8, 0, 1], [1, 2, 10, 54, 159, 93, 273, 225, 36, 101, 1, 5, 0], [1, 2, 10, 54, 160, 86, 294, 190, 71, 80, 8, 4, 0], [1, 2, 10, 54, 161, 79, 315, 155, 106, 59, 15, 3, 0], [1, 2, 10, 54, 162, 72, 336, 120, 141, 38, 22, 2, 0], [1, 2, 10, 54, 163, 65, 357, 85, 176, 17, 29, 1, 0], [1, 2, 10, 55, 152, 114, 238, 260, 15, 108, 0, 5, 0], [1, 2, 10, 55, 153, 107, 259, 225, 50, 87, 7, 4, 0], [1, 2, 10, 55, 154, 100, 280, 190, 85, 66, 14, 3, 0], [1, 2, 10, 55, 155, 93, 301, 155, 120, 45, 21, 2, 0], [1, 2, 10, 55, 156, 86, 322, 120, 155, 24, 28, 1, 0], [1, 2, 10, 55, 157, 79, 343, 85, 190, 3, 35, 0, 0], [1, 2, 10, 56, 146, 128, 224, 260, 29, 94, 6, 4, 0], [1, 2, 10, 56, 147, 121, 245, 225, 64, 73, 13, 3, 0], [1, 2, 10, 56, 148, 114, 266, 190, 99, 52, 20, 2, 0], [1, 2, 10, 56, 149, 107, 287, 155, 134, 31, 27, 1, 0], [1, 2, 10, 56, 150, 100, 308, 120, 169, 10, 34, 0, 0], [1, 2, 10, 57, 139, 149, 189, 295, 8, 101, 5, 4, 0], [1, 2, 10, 57, 140, 142, 210, 260, 43, 80, 12, 3, 0], [1, 2, 10, 57, 141, 135, 231, 225, 78, 59, 19, 2, 0], [1, 2, 10, 57, 142, 128, 252, 190, 113, 38, 26, 1, 0], [1, 2, 10, 57, 143, 121, 273, 155, 148, 17, 33, 0, 0], [1, 2, 10, 58, 133, 163, 175, 295, 22, 87, 11, 3, 0], [1, 2, 10, 58, 134, 156, 196, 260, 57, 66, 18, 2, 0], [1, 2, 10, 58, 135, 149, 217, 225, 92, 45, 25, 1, 0], [1, 2, 10, 58, 136, 142, 238, 190, 127, 24, 32, 0, 0], [1, 2, 10, 59, 126, 184, 140, 330, 1, 94, 10, 3, 0], [1, 2, 10, 59, 127, 177, 161, 295, 36, 73, 17, 2, 0], [1, 2, 10, 59, 128, 170, 182, 260, 71, 52, 24, 1, 0], [1, 2, 10, 59, 129, 163, 203, 225, 106, 31, 31, 0, 0], [1, 2, 10, 60, 120, 198, 126, 330, 15, 80, 16, 2, 0], [1, 2, 10, 60, 121, 191, 147, 295, 50, 59, 23, 1, 0], [1, 2, 10, 60, 122, 184, 168, 260, 85, 38, 30, 0, 0], [1, 2, 10, 61, 114, 212, 112, 330, 29, 66, 22, 1, 0], [1, 2, 10, 61, 115, 205, 133, 295, 64, 45, 29, 0, 0], [1, 2, 10, 62, 107, 233, 77, 365, 8, 73, 21, 1, 0], [1, 2, 10, 62, 108, 226, 98, 330, 43, 52, 28, 0, 0], [1, 2, 10, 63, 101, 247, 63, 365, 22, 59, 27, 0, 0], [1, 2, 10, 64, 94, 268, 28, 400, 1, 66, 26, 0, 0], [1, 2, 11, 44, 198, 15, 357, 183, 36, 107, 4, 1, 1], [1, 2, 11, 44, 199, 8, 378, 148, 71, 86, 11, 0, 1], [1, 2, 11, 45, 191, 36, 322, 218, 15, 114, 3, 1, 1], [1, 2, 11, 45, 192, 29, 343, 183, 50, 93, 10, 0, 1], [1, 2, 11, 45, 194, 16, 378, 134, 85, 86, 3, 5, 0], [1, 2, 11, 45, 195, 9, 399, 99, 120, 65, 10, 4, 0], [1, 2, 11, 45, 196, 2, 420, 64, 155, 44, 17, 3, 0], [1, 2, 11, 46, 185, 50, 308, 218, 29, 100, 9, 0, 1], [1, 2, 11, 46, 187, 37, 343, 169, 64, 93, 2, 5, 0], [1, 2, 11, 46, 188, 30, 364, 134, 99, 72, 9, 4, 0], [1, 2, 11, 46, 189, 23, 385, 99, 134, 51, 16, 3, 0], [1, 2, 11, 46, 190, 16, 406, 64, 169, 30, 23, 2, 0], [1, 2, 11, 46, 191, 9, 427, 29, 204, 9, 30, 1, 0], [1, 2, 11, 47, 178, 71, 273, 253, 8, 107, 8, 0, 1], [1, 2, 11, 47, 180, 58, 308, 204, 43, 100, 1, 5, 0], [1, 2, 11, 47, 181, 51, 329, 169, 78, 79, 8, 4, 0], [1, 2, 11, 47, 182, 44, 350, 134, 113, 58, 15, 3, 0], [1, 2, 11, 47, 183, 37, 371, 99, 148, 37, 22, 2, 0], [1, 2, 11, 47, 184, 30, 392, 64, 183, 16, 29, 1, 0], [1, 2, 11, 48, 173, 79, 273, 239, 22, 107, 0, 5, 0], [1, 2, 11, 48, 174, 72, 294, 204, 57, 86, 7, 4, 0], [1, 2, 11, 48, 175, 65, 315, 169, 92, 65, 14, 3, 0], [1, 2, 11, 48, 176, 58, 336, 134, 127, 44, 21, 2, 0], [1, 2, 11, 48, 177, 51, 357, 99, 162, 23, 28, 1, 0], [1, 2, 11, 48, 178, 44, 378, 64, 197, 2, 35, 0, 0], [1, 2, 11, 49, 167, 93, 259, 239, 36, 93, 6, 4, 0], [1, 2, 11, 49, 168, 86, 280, 204, 71, 72, 13, 3, 0], [1, 2, 11, 49, 169, 79, 301, 169, 106, 51, 20, 2, 0], [1, 2, 11, 49, 170, 72, 322, 134, 141, 30, 27, 1, 0], [1, 2, 11, 49, 171, 65, 343, 99, 176, 9, 34, 0, 0], [1, 2, 11, 50, 160, 114, 224, 274, 15, 100, 5, 4, 0], [1, 2, 11, 50, 161, 107, 245, 239, 50, 79, 12, 3, 0], [1, 2, 11, 50, 162, 100, 266, 204, 85, 58, 19, 2, 0], [1, 2, 11, 50, 163, 93, 287, 169, 120, 37, 26, 1, 0], [1, 2, 11, 50, 164, 86, 308, 134, 155, 16, 33, 0, 0], [1, 2, 11, 51, 154, 128, 210, 274, 29, 86, 11, 3, 0], [1, 2, 11, 51, 155, 121, 231, 239, 64, 65, 18, 2, 0], [1, 2, 11, 51, 156, 114, 252, 204, 99, 44, 25, 1, 0], [1, 2, 11, 51, 157, 107, 273, 169, 134, 23, 32, 0, 0], [1, 2, 11, 52, 147, 149, 175, 309, 8, 93, 10, 3, 0], [1, 2, 11, 52, 148, 142, 196, 274, 43, 72, 17, 2, 0], [1, 2, 11, 52, 149, 135, 217, 239, 78, 51, 24, 1, 0], [1, 2, 11, 52, 150, 128, 238, 204, 113, 30, 31, 0, 0], [1, 2, 11, 53, 141, 163, 161, 309, 22, 79, 16, 2, 0], [1, 2, 11, 53, 142, 156, 182, 274, 57, 58, 23, 1, 0], [1, 2, 11, 53, 143, 149, 203, 239, 92, 37, 30, 0, 0], [1, 2, 11, 54, 134, 184, 126, 344, 1, 86, 15, 2, 0], [1, 2, 11, 54, 135, 177, 147, 309, 36, 65, 22, 1, 0], [1, 2, 11, 54, 136, 170, 168, 274, 71, 44, 29, 0, 0], [1, 2, 11, 55, 128, 198, 112, 344, 15, 72, 21, 1, 0], [1, 2, 11, 55, 129, 191, 133, 309, 50, 51, 28, 0, 0], [1, 2, 11, 56, 122, 212, 98, 344, 29, 58, 27, 0, 0], [1, 2, 11, 57, 115, 233, 63, 379, 8, 65, 26, 0, 0], [1, 2, 12, 38, 212, 1, 357, 197, 22, 113, 3, 1, 1], [1, 2, 12, 39, 205, 22, 322, 232, 1, 120, 2, 1, 1], [1, 2, 12, 39, 206, 15, 343, 197, 36, 99, 9, 0, 1], [1, 2, 12, 39, 208, 2, 378, 148, 71, 92, 2, 5, 0], [1, 2, 12, 40, 199, 36, 308, 232, 15, 106, 8, 0, 1], [1, 2, 12, 40, 201, 23, 343, 183, 50, 99, 1, 5, 0], [1, 2, 12, 40, 202, 16, 364, 148, 85, 78, 8, 4, 0], [1, 2, 12, 40, 203, 9, 385, 113, 120, 57, 15, 3, 0], [1, 2, 12, 40, 204, 2, 406, 78, 155, 36, 22, 2, 0], [1, 2, 12, 41, 194, 44, 308, 218, 29, 106, 0, 5, 0], [1, 2, 12, 41, 195, 37, 329, 183, 64, 85, 7, 4, 0], [1, 2, 12, 41, 196, 30, 350, 148, 99, 64, 14, 3, 0], [1, 2, 12, 41, 197, 23, 371, 113, 134, 43, 21, 2, 0], [1, 2, 12, 41, 198, 16, 392, 78, 169, 22, 28, 1, 0], [1, 2, 12, 41, 199, 9, 413, 43, 204, 1, 35, 0, 0], [1, 2, 12, 42, 188, 58, 294, 218, 43, 92, 6, 4, 0], [1, 2, 12, 42, 189, 51, 315, 183, 78, 71, 13, 3, 0], [1, 2, 12, 42, 190, 44, 336, 148, 113, 50, 20, 2, 0], [1, 2, 12, 42, 191, 37, 357, 113, 148, 29, 27, 1, 0], [1, 2, 12, 42, 192, 30, 378, 78, 183, 8, 34, 0, 0], [1, 2, 12, 43, 181, 79, 259, 253, 22, 99, 5, 4, 0], [1, 2, 12, 43, 182, 72, 280, 218, 57, 78, 12, 3, 0], [1, 2, 12, 43, 183, 65, 301, 183, 92, 57, 19, 2, 0], [1, 2, 12, 43, 184, 58, 322, 148, 127, 36, 26, 1, 0], [1, 2, 12, 43, 185, 51, 343, 113, 162, 15, 33, 0, 0], [1, 2, 12, 44, 174, 100, 224, 288, 1, 106, 4, 4, 0], [1, 2, 12, 44, 175, 93, 245, 253, 36, 85, 11, 3, 0], [1, 2, 12, 44, 176, 86, 266, 218, 71, 64, 18, 2, 0], [1, 2, 12, 44, 177, 79, 287, 183, 106, 43, 25, 1, 0], [1, 2, 12, 44, 178, 72, 308, 148, 141, 22, 32, 0, 0], [1, 2, 12, 45, 168, 114, 210, 288, 15, 92, 10, 3, 0], [1, 2, 12, 45, 169, 107, 231, 253, 50, 71, 17, 2, 0], [1, 2, 12, 45, 170, 100, 252, 218, 85, 50, 24, 1, 0], [1, 2, 12, 45, 171, 93, 273, 183, 120, 29, 31, 0, 0], [1, 2, 12, 46, 162, 128, 196, 288, 29, 78, 16, 2, 0], [1, 2, 12, 46, 163, 121, 217, 253, 64, 57, 23, 1, 0], [1, 2, 12, 46, 164, 114, 238, 218, 99, 36, 30, 0, 0], [1, 2, 12, 47, 155, 149, 161, 323, 8, 85, 15, 2, 0], [1, 2, 12, 47, 156, 142, 182, 288, 43, 64, 22, 1, 0], [1, 2, 12, 47, 157, 135, 203, 253, 78, 43, 29, 0, 0], [1, 2, 12, 48, 149, 163, 147, 323, 22, 71, 21, 1, 0], [1, 2, 12, 48, 150, 156, 168, 288, 57, 50, 28, 0, 0], [1, 2, 12, 49, 142, 184, 112, 358, 1, 78, 20, 1, 0], [1, 2, 12, 49, 143, 177, 133, 323, 36, 57, 27, 0, 0], [1, 2, 12, 50, 136, 198, 98, 358, 15, 64, 26, 0, 0], [1, 2, 13, 33, 220, 1, 343, 211, 22, 105, 8, 0, 1], [1, 2, 13, 34, 213, 22, 308, 246, 1, 112, 7, 0, 1], [1, 2, 13, 34, 215, 9, 343, 197, 36, 105, 0, 5, 0], [1, 2, 13, 34, 216, 2, 364, 162, 71, 84, 7, 4, 0], [1, 2, 13, 35, 209, 23, 329, 197, 50, 91, 6, 4, 0], [1, 2, 13, 35, 210, 16, 350, 162, 85, 70, 13, 3, 0], [1, 2, 13, 35, 211, 9, 371, 127, 120, 49, 20, 2, 0], [1, 2, 13, 35, 212, 2, 392, 92, 155, 28, 27, 1, 0], [1, 2, 13, 36, 202, 44, 294, 232, 29, 98, 5, 4, 0], [1, 2, 13, 36, 203, 37, 315, 197, 64, 77, 12, 3, 0], [1, 2, 13, 36, 204, 30, 336, 162, 99, 56, 19, 2, 0], [1, 2, 13, 36, 205, 23, 357, 127, 134, 35, 26, 1, 0], [1, 2, 13, 36, 206, 16, 378, 92, 169, 14, 33, 0, 0], [1, 2, 13, 37, 195, 65, 259, 267, 8, 105, 4, 4, 0], [1, 2, 13, 37, 196, 58, 280, 232, 43, 84, 11, 3, 0], [1, 2, 13, 37, 197, 51, 301, 197, 78, 63, 18, 2, 0], [1, 2, 13, 37, 198, 44, 322, 162, 113, 42, 25, 1, 0], [1, 2, 13, 37, 199, 37, 343, 127, 148, 21, 32, 0, 0], [1, 2, 13, 38, 189, 79, 245, 267, 22, 91, 10, 3, 0], [1, 2, 13, 38, 190, 72, 266, 232, 57, 70, 17, 2, 0], [1, 2, 13, 38, 191, 65, 287, 197, 92, 49, 24, 1, 0], [1, 2, 13, 38, 192, 58, 308, 162, 127, 28, 31, 0, 0], [1, 2, 13, 39, 182, 100, 210, 302, 1, 98, 9, 3, 0], [1, 2, 13, 39, 183, 93, 231, 267, 36, 77, 16, 2, 0], [1, 2, 13, 39, 184, 86, 252, 232, 71, 56, 23, 1, 0], [1, 2, 13, 39, 185, 79, 273, 197, 106, 35, 30, 0, 0], [1, 2, 13, 40, 176, 114, 196, 302, 15, 84, 15, 2, 0], [1, 2, 13, 40, 177, 107, 217, 267, 50, 63, 22, 1, 0], [1, 2, 13, 40, 178, 100, 238, 232, 85, 42, 29, 0, 0], [1, 2, 13, 41, 170, 128, 182, 302, 29, 70, 21, 1, 0], [1, 2, 13, 41, 171, 121, 203, 267, 64, 49, 28, 0, 0], [1, 2, 13, 42, 163, 149, 147, 337, 8, 77, 20, 1, 0], [1, 2, 13, 42, 164, 142, 168, 302, 43, 56, 27, 0, 0], [1, 2, 13, 43, 157, 163, 133, 337, 22, 63, 26, 0, 0], [1, 2, 13, 44, 150, 184, 98, 372, 1, 70, 25, 0, 0], [1, 2, 14, 29, 223, 9, 329, 211, 36, 97, 5, 4, 0], [1, 2, 14, 29, 224, 2, 350, 176, 71, 76, 12, 3, 0], [1, 2, 14, 30, 216, 30, 294, 246, 15, 104, 4, 4, 0], [1, 2, 14, 30, 217, 23, 315, 211, 50, 83, 11, 3, 0], [1, 2, 14, 30, 218, 16, 336, 176, 85, 62, 18, 2, 0], [1, 2, 14, 30, 219, 9, 357, 141, 120, 41, 25, 1, 0], [1, 2, 14, 30, 220, 2, 378, 106, 155, 20, 32, 0, 0], [1, 2, 14, 31, 210, 44, 280, 246, 29, 90, 10, 3, 0], [1, 2, 14, 31, 211, 37, 301, 211, 64, 69, 17, 2, 0], [1, 2, 14, 31, 212, 30, 322, 176, 99, 48, 24, 1, 0], [1, 2, 14, 31, 213, 23, 343, 141, 134, 27, 31, 0, 0], [1, 2, 14, 32, 203, 65, 245, 281, 8, 97, 9, 3, 0], [1, 2, 14, 32, 204, 58, 266, 246, 43, 76, 16, 2, 0], [1, 2, 14, 32, 205, 51, 287, 211, 78, 55, 23, 1, 0], [1, 2, 14, 32, 206, 44, 308, 176, 113, 34, 30, 0, 0], [1, 2, 14, 33, 197, 79, 231, 281, 22, 83, 15, 2, 0], [1, 2, 14, 33, 198, 72, 252, 246, 57, 62, 22, 1, 0], [1, 2, 14, 33, 199, 65, 273, 211, 92, 41, 29, 0, 0], [1, 2, 14, 34, 190, 100, 196, 316, 1, 90, 14, 2, 0], [1, 2, 14, 34, 191, 93, 217, 281, 36, 69, 21, 1, 0], [1, 2, 14, 34, 192, 86, 238, 246, 71, 48, 28, 0, 0], [1, 2, 14, 35, 184, 114, 182, 316, 15, 76, 20, 1, 0], [1, 2, 14, 35, 185, 107, 203, 281, 50, 55, 27, 0, 0], [1, 2, 14, 36, 178, 128, 168, 316, 29, 62, 26, 0, 0], [1, 2, 14, 37, 171, 149, 133, 351, 8, 69, 25, 0, 0], [1, 2, 15, 24, 230, 16, 294, 260, 1, 110, 3, 4, 0], [1, 2, 15, 24, 231, 9, 315, 225, 36, 89, 10, 3, 0], [1, 2, 15, 24, 232, 2, 336, 190, 71, 68, 17, 2, 0], [1, 2, 15, 25, 224, 30, 280, 260, 15, 96, 9, 3, 0], [1, 2, 15, 25, 225, 23, 301, 225, 50, 75, 16, 2, 0], [1, 2, 15, 25, 226, 16, 322, 190, 85, 54, 23, 1, 0], [1, 2, 15, 25, 227, 9, 343, 155, 120, 33, 30, 0, 0], [1, 2, 15, 26, 218, 44, 266, 260, 29, 82, 15, 2, 0], [1, 2, 15, 26, 219, 37, 287, 225, 64, 61, 22, 1, 0], [1, 2, 15, 26, 220, 30, 308, 190, 99, 40, 29, 0, 0], [1, 2, 15, 27, 211, 65, 231, 295, 8, 89, 14, 2, 0], [1, 2, 15, 27, 212, 58, 252, 260, 43, 68, 21, 1, 0], [1, 2, 15, 27, 213, 51, 273, 225, 78, 47, 28, 0, 0], [1, 2, 15, 28, 205, 79, 217, 295, 22, 75, 20, 1, 0], [1, 2, 15, 28, 206, 72, 238, 260, 57, 54, 27, 0, 0], [1, 2, 15, 29, 198, 100, 182, 330, 1, 82, 19, 1, 0], [1, 2, 15, 29, 199, 93, 203, 295, 36, 61, 26, 0, 0], [1, 2, 15, 30, 192, 114, 168, 330, 15, 68, 25, 0, 0], [1, 2, 16, 19, 238, 16, 280, 274, 1, 102, 8, 3, 0], [1, 2, 16, 19, 239, 9, 301, 239, 36, 81, 15, 2, 0], [1, 2, 16, 19, 240, 2, 322, 204, 71, 60, 22, 1, 0], [1, 2, 16, 20, 232, 30, 266, 274, 15, 88, 14, 2, 0], [1, 2, 16, 20, 233, 23, 287, 239, 50, 67, 21, 1, 0], [1, 2, 16, 20, 234, 16, 308, 204, 85, 46, 28, 0, 0], [1, 2, 16, 21, 226, 44, 252, 274, 29, 74, 20, 1, 0], [1, 2, 16, 21, 227, 37, 273, 239, 64, 53, 27, 0, 0], [1, 2, 16, 22, 219, 65, 217, 309, 8, 81, 19, 1, 0], [1, 2, 16, 22, 220, 58, 238, 274, 43, 60, 26, 0, 0], [1, 2, 16, 23, 213, 79, 203, 309, 22, 67, 25, 0, 0], [1, 2, 16, 24, 206, 100, 168, 344, 1, 74, 24, 0, 0], [1, 2, 17, 14, 246, 16, 266, 288, 1, 94, 13, 2, 0], [1, 2, 17, 14, 247, 9, 287, 253, 36, 73, 20, 1, 0], [1, 2, 17, 14, 248, 2, 308, 218, 71, 52, 27, 0, 0], [1, 2, 17, 15, 240, 30, 252, 288, 15, 80, 19, 1, 0], [1, 2, 17, 15, 241, 23, 273, 253, 50, 59, 26, 0, 0], [1, 2, 17, 16, 234, 44, 238, 288, 29, 66, 25, 0, 0], [1, 2, 17, 17, 227, 65, 203, 323, 8, 73, 24, 0, 0], [1, 2, 18, 9, 254, 16, 252, 302, 1, 86, 18, 1, 0], [1, 2, 18, 9, 255, 9, 273, 267, 36, 65, 25, 0, 0], [1, 2, 18, 10, 248, 30, 238, 302, 15, 72, 24, 0, 0], [1, 2, 19, 4, 262, 16, 238, 316, 1, 78, 23, 0, 0], [1, 3, 0, 85, 134, 29, 455, 29, 140, 76, 5, 2, 1], [1, 3, 0, 86, 127, 50, 420, 64, 119, 83, 4, 2, 1], [1, 3, 0, 86, 128, 43, 441, 29, 154, 62, 11, 1, 1], [1, 3, 0, 87, 120, 71, 385, 99, 98, 90, 3, 2, 1], [1, 3, 0, 87, 121, 64, 406, 64, 133, 69, 10, 1, 1], [1, 3, 0, 87, 122, 57, 427, 29, 168, 48, 17, 0, 1], [1, 3, 0, 87, 123, 51, 441, 15, 168, 62, 3, 6, 0], [1, 3, 0, 88, 113, 92, 350, 134, 77, 97, 2, 2, 1], [1, 3, 0, 88, 114, 85, 371, 99, 112, 76, 9, 1, 1], [1, 3, 0, 88, 115, 78, 392, 64, 147, 55, 16, 0, 1], [1, 3, 0, 88, 116, 72, 406, 50, 147, 69, 2, 6, 0], [1, 3, 0, 88, 117, 65, 427, 15, 182, 48, 9, 5, 0], [1, 3, 0, 89, 106, 113, 315, 169, 56, 104, 1, 2, 1], [1, 3, 0, 89, 107, 106, 336, 134, 91, 83, 8, 1, 1], [1, 3, 0, 89, 108, 99, 357, 99, 126, 62, 15, 0, 1], [1, 3, 0, 89, 109, 93, 371, 85, 126, 76, 1, 6, 0], [1, 3, 0, 89, 110, 86, 392, 50, 161, 55, 8, 5, 0], [1, 3, 0, 89, 111, 79, 413, 15, 196, 34, 15, 4, 0], [1, 3, 0, 90, 99, 134, 280, 204, 35, 111, 0, 2, 1], [1, 3, 0, 90, 100, 127, 301, 169, 70, 90, 7, 1, 1], [1, 3, 0, 90, 101, 120, 322, 134, 105, 69, 14, 0, 1], [1, 3, 0, 90, 102, 114, 336, 120, 105, 83, 0, 6, 0], [1, 3, 0, 90, 103, 107, 357, 85, 140, 62, 7, 5, 0], [1, 3, 0, 90, 104, 100, 378, 50, 175, 41, 14, 4, 0], [1, 3, 0, 90, 105, 93, 399, 15, 210, 20, 21, 3, 0], [1, 3, 0, 91, 93, 148, 266, 204, 49, 97, 6, 1, 1], [1, 3, 0, 91, 94, 141, 287, 169, 84, 76, 13, 0, 1], [1, 3, 0, 91, 96, 128, 322, 120, 119, 69, 6, 5, 0], [1, 3, 0, 91, 97, 121, 343, 85, 154, 48, 13, 4, 0], [1, 3, 0, 91, 98, 114, 364, 50, 189, 27, 20, 3, 0], [1, 3, 0, 91, 99, 107, 385, 15, 224, 6, 27, 2, 0], [1, 3, 0, 92, 86, 169, 231, 239, 28, 104, 5, 1, 1], [1, 3, 0, 92, 87, 162, 252, 204, 63, 83, 12, 0, 1], [1, 3, 0, 92, 89, 149, 287, 155, 98, 76, 5, 5, 0], [1, 3, 0, 92, 90, 142, 308, 120, 133, 55, 12, 4, 0], [1, 3, 0, 92, 91, 135, 329, 85, 168, 34, 19, 3, 0], [1, 3, 0, 92, 92, 128, 350, 50, 203, 13, 26, 2, 0], [1, 3, 0, 93, 79, 190, 196, 274, 7, 111, 4, 1, 1], [1, 3, 0, 93, 80, 183, 217, 239, 42, 90, 11, 0, 1], [1, 3, 0, 93, 82, 170, 252, 190, 77, 83, 4, 5, 0], [1, 3, 0, 93, 83, 163, 273, 155, 112, 62, 11, 4, 0], [1, 3, 0, 93, 84, 156, 294, 120, 147, 41, 18, 3, 0], [1, 3, 0, 93, 85, 149, 315, 85, 182, 20, 25, 2, 0], [1, 3, 0, 94, 73, 204, 182, 274, 21, 97, 10, 0, 1], [1, 3, 0, 94, 75, 191, 217, 225, 56, 90, 3, 5, 0], [1, 3, 0, 94, 76, 184, 238, 190, 91, 69, 10, 4, 0], [1, 3, 0, 94, 77, 177, 259, 155, 126, 48, 17, 3, 0], [1, 3, 0, 94, 78, 170, 280, 120, 161, 27, 24, 2, 0], [1, 3, 0, 94, 79, 163, 301, 85, 196, 6, 31, 1, 0], [1, 3, 0, 95, 66, 225, 147, 309, 0, 104, 9, 0, 1], [1, 3, 0, 95, 68, 212, 182, 260, 35, 97, 2, 5, 0], [1, 3, 0, 95, 69, 205, 203, 225, 70, 76, 9, 4, 0], [1, 3, 0, 95, 70, 198, 224, 190, 105, 55, 16, 3, 0], [1, 3, 0, 95, 71, 191, 245, 155, 140, 34, 23, 2, 0], [1, 3, 0, 95, 72, 184, 266, 120, 175, 13, 30, 1, 0], [1, 3, 0, 96, 61, 233, 147, 295, 14, 104, 1, 5, 0], [1, 3, 0, 96, 62, 226, 168, 260, 49, 83, 8, 4, 0], [1, 3, 0, 96, 63, 219, 189, 225, 84, 62, 15, 3, 0], [1, 3, 0, 96, 64, 212, 210, 190, 119, 41, 22, 2, 0], [1, 3, 0, 96, 65, 205, 231, 155, 154, 20, 29, 1, 0], [1, 3, 0, 97, 55, 247, 133, 295, 28, 90, 7, 4, 0], [1, 3, 0, 97, 56, 240, 154, 260, 63, 69, 14, 3, 0], [1, 3, 0, 97, 57, 233, 175, 225, 98, 48, 21, 2, 0], [1, 3, 0, 97, 58, 226, 196, 190, 133, 27, 28, 1, 0], [1, 3, 0, 97, 59, 219, 217, 155, 168, 6, 35, 0, 0], [1, 3, 0, 98, 48, 268, 98, 330, 7, 97, 6, 4, 0], [1, 3, 0, 98, 49, 261, 119, 295, 42, 76, 13, 3, 0], [1, 3, 0, 98, 50, 254, 140, 260, 77, 55, 20, 2, 0], [1, 3, 0, 98, 51, 247, 161, 225, 112, 34, 27, 1, 0], [1, 3, 0, 98, 52, 240, 182, 190, 147, 13, 34, 0, 0], [1, 3, 0, 99, 42, 282, 84, 330, 21, 83, 12, 3, 0], [1, 3, 0, 99, 43, 275, 105, 295, 56, 62, 19, 2, 0], [1, 3, 0, 99, 44, 268, 126, 260, 91, 41, 26, 1, 0], [1, 3, 0, 99, 45, 261, 147, 225, 126, 20, 33, 0, 0], [1, 3, 0, 100, 35, 303, 49, 365, 0, 90, 11, 3, 0], [1, 3, 0, 100, 36, 296, 70, 330, 35, 69, 18, 2, 0], [1, 3, 0, 100, 37, 289, 91, 295, 70, 48, 25, 1, 0], [1, 3, 0, 100, 38, 282, 112, 260, 105, 27, 32, 0, 0], [1, 3, 0, 101, 29, 317, 35, 365, 14, 76, 17, 2, 0], [1, 3, 0, 101, 30, 310, 56, 330, 49, 55, 24, 1, 0], [1, 3, 0, 101, 31, 303, 77, 295, 84, 34, 31, 0, 0], [1, 3, 0, 102, 23, 331, 21, 365, 28, 62, 23, 1, 0], [1, 3, 0, 102, 24, 324, 42, 330, 63, 41, 30, 0, 0], [1, 3, 0, 103, 17, 345, 7, 365, 42, 48, 29, 0, 0], [1, 3, 1, 79, 148, 15, 455, 43, 126, 82, 4, 2, 1], [1, 3, 1, 79, 149, 8, 476, 8, 161, 61, 11, 1, 1], [1, 3, 1, 80, 141, 36, 420, 78, 105, 89, 3, 2, 1], [1, 3, 1, 80, 142, 29, 441, 43, 140, 68, 10, 1, 1], [1, 3, 1, 80, 143, 22, 462, 8, 175, 47, 17, 0, 1], [1, 3, 1, 81, 134, 57, 385, 113, 84, 96, 2, 2, 1], [1, 3, 1, 81, 135, 50, 406, 78, 119, 75, 9, 1, 1], [1, 3, 1, 81, 136, 43, 427, 43, 154, 54, 16, 0, 1], [1, 3, 1, 81, 137, 37, 441, 29, 154, 68, 2, 6, 0], [1, 3, 1, 82, 127, 78, 350, 148, 63, 103, 1, 2, 1], [1, 3, 1, 82, 128, 71, 371, 113, 98, 82, 8, 1, 1], [1, 3, 1, 82, 129, 64, 392, 78, 133, 61, 15, 0, 1], [1, 3, 1, 82, 130, 58, 406, 64, 133, 75, 1, 6, 0], [1, 3, 1, 82, 131, 51, 427, 29, 168, 54, 8, 5, 0], [1, 3, 1, 83, 120, 99, 315, 183, 42, 110, 0, 2, 1], [1, 3, 1, 83, 121, 92, 336, 148, 77, 89, 7, 1, 1], [1, 3, 1, 83, 122, 85, 357, 113, 112, 68, 14, 0, 1], [1, 3, 1, 83, 123, 79, 371, 99, 112, 82, 0, 6, 0], [1, 3, 1, 83, 124, 72, 392, 64, 147, 61, 7, 5, 0], [1, 3, 1, 83, 125, 65, 413, 29, 182, 40, 14, 4, 0], [1, 3, 1, 84, 114, 113, 301, 183, 56, 96, 6, 1, 1], [1, 3, 1, 84, 115, 106, 322, 148, 91, 75, 13, 0, 1], [1, 3, 1, 84, 117, 93, 357, 99, 126, 68, 6, 5, 0], [1, 3, 1, 84, 118, 86, 378, 64, 161, 47, 13, 4, 0], [1, 3, 1, 84, 119, 79, 399, 29, 196, 26, 20, 3, 0], [1, 3, 1, 85, 107, 134, 266, 218, 35, 103, 5, 1, 1], [1, 3, 1, 85, 108, 127, 287, 183, 70, 82, 12, 0, 1], [1, 3, 1, 85, 110, 114, 322, 134, 105, 75, 5, 5, 0], [1, 3, 1, 85, 111, 107, 343, 99, 140, 54, 12, 4, 0], [1, 3, 1, 85, 112, 100, 364, 64, 175, 33, 19, 3, 0], [1, 3, 1, 85, 113, 93, 385, 29, 210, 12, 26, 2, 0], [1, 3, 1, 86, 100, 155, 231, 253, 14, 110, 4, 1, 1], [1, 3, 1, 86, 101, 148, 252, 218, 49, 89, 11, 0, 1], [1, 3, 1, 86, 103, 135, 287, 169, 84, 82, 4, 5, 0], [1, 3, 1, 86, 104, 128, 308, 134, 119, 61, 11, 4, 0], [1, 3, 1, 86, 105, 121, 329, 99, 154, 40, 18, 3, 0], [1, 3, 1, 86, 106, 114, 350, 64, 189, 19, 25, 2, 0], [1, 3, 1, 87, 94, 169, 217, 253, 28, 96, 10, 0, 1], [1, 3, 1, 87, 96, 156, 252, 204, 63, 89, 3, 5, 0], [1, 3, 1, 87, 97, 149, 273, 169, 98, 68, 10, 4, 0], [1, 3, 1, 87, 98, 142, 294, 134, 133, 47, 17, 3, 0], [1, 3, 1, 87, 99, 135, 315, 99, 168, 26, 24, 2, 0], [1, 3, 1, 87, 100, 128, 336, 64, 203, 5, 31, 1, 0], [1, 3, 1, 88, 87, 190, 182, 288, 7, 103, 9, 0, 1], [1, 3, 1, 88, 89, 177, 217, 239, 42, 96, 2, 5, 0], [1, 3, 1, 88, 90, 170, 238, 204, 77, 75, 9, 4, 0], [1, 3, 1, 88, 91, 163, 259, 169, 112, 54, 16, 3, 0], [1, 3, 1, 88, 92, 156, 280, 134, 147, 33, 23, 2, 0], [1, 3, 1, 88, 93, 149, 301, 99, 182, 12, 30, 1, 0], [1, 3, 1, 89, 82, 198, 182, 274, 21, 103, 1, 5, 0], [1, 3, 1, 89, 83, 191, 203, 239, 56, 82, 8, 4, 0], [1, 3, 1, 89, 84, 184, 224, 204, 91, 61, 15, 3, 0], [1, 3, 1, 89, 85, 177, 245, 169, 126, 40, 22, 2, 0], [1, 3, 1, 89, 86, 170, 266, 134, 161, 19, 29, 1, 0], [1, 3, 1, 90, 75, 219, 147, 309, 0, 110, 0, 5, 0], [1, 3, 1, 90, 76, 212, 168, 274, 35, 89, 7, 4, 0], [1, 3, 1, 90, 77, 205, 189, 239, 70, 68, 14, 3, 0], [1, 3, 1, 90, 78, 198, 210, 204, 105, 47, 21, 2, 0], [1, 3, 1, 90, 79, 191, 231, 169, 140, 26, 28, 1, 0], [1, 3, 1, 90, 80, 184, 252, 134, 175, 5, 35, 0, 0], [1, 3, 1, 91, 69, 233, 133, 309, 14, 96, 6, 4, 0], [1, 3, 1, 91, 70, 226, 154, 274, 49, 75, 13, 3, 0], [1, 3, 1, 91, 71, 219, 175, 239, 84, 54, 20, 2, 0], [1, 3, 1, 91, 72, 212, 196, 204, 119, 33, 27, 1, 0], [1, 3, 1, 91, 73, 205, 217, 169, 154, 12, 34, 0, 0], [1, 3, 1, 92, 63, 247, 119, 309, 28, 82, 12, 3, 0], [1, 3, 1, 92, 64, 240, 140, 274, 63, 61, 19, 2, 0], [1, 3, 1, 92, 65, 233, 161, 239, 98, 40, 26, 1, 0], [1, 3, 1, 92, 66, 226, 182, 204, 133, 19, 33, 0, 0], [1, 3, 1, 93, 56, 268, 84, 344, 7, 89, 11, 3, 0], [1, 3, 1, 93, 57, 261, 105, 309, 42, 68, 18, 2, 0], [1, 3, 1, 93, 58, 254, 126, 274, 77, 47, 25, 1, 0], [1, 3, 1, 93, 59, 247, 147, 239, 112, 26, 32, 0, 0], [1, 3, 1, 94, 50, 282, 70, 344, 21, 75, 17, 2, 0], [1, 3, 1, 94, 51, 275, 91, 309, 56, 54, 24, 1, 0], [1, 3, 1, 94, 52, 268, 112, 274, 91, 33, 31, 0, 0], [1, 3, 1, 95, 43, 303, 35, 379, 0, 82, 16, 2, 0], [1, 3, 1, 95, 44, 296, 56, 344, 35, 61, 23, 1, 0], [1, 3, 1, 95, 45, 289, 77, 309, 70, 40, 30, 0, 0], [1, 3, 1, 96, 37, 317, 21, 379, 14, 68, 22, 1, 0], [1, 3, 1, 96, 38, 310, 42, 344, 49, 47, 29, 0, 0], [1, 3, 1, 97, 31, 331, 7, 379, 28, 54, 28, 0, 0], [1, 3, 2, 73, 162, 1, 455, 57, 112, 88, 3, 2, 1], [1, 3, 2, 74, 155, 22, 420, 92, 91, 95, 2, 2, 1], [1, 3, 2, 74, 156, 15, 441, 57, 126, 74, 9, 1, 1], [1, 3, 2, 74, 157, 8, 462, 22, 161, 53, 16, 0, 1], [1, 3, 2, 74, 158, 2, 476, 8, 161, 67, 2, 6, 0], [1, 3, 2, 75, 148, 43, 385, 127, 70, 102, 1, 2, 1], [1, 3, 2, 75, 149, 36, 406, 92, 105, 81, 8, 1, 1], [1, 3, 2, 75, 150, 29, 427, 57, 140, 60, 15, 0, 1], [1, 3, 2, 75, 151, 23, 441, 43, 140, 74, 1, 6, 0], [1, 3, 2, 75, 152, 16, 462, 8, 175, 53, 8, 5, 0], [1, 3, 2, 76, 141, 64, 350, 162, 49, 109, 0, 2, 1], [1, 3, 2, 76, 142, 57, 371, 127, 84, 88, 7, 1, 1], [1, 3, 2, 76, 143, 50, 392, 92, 119, 67, 14, 0, 1], [1, 3, 2, 76, 144, 44, 406, 78, 119, 81, 0, 6, 0], [1, 3, 2, 76, 145, 37, 427, 43, 154, 60, 7, 5, 0], [1, 3, 2, 76, 146, 30, 448, 8, 189, 39, 14, 4, 0], [1, 3, 2, 77, 135, 78, 336, 162, 63, 95, 6, 1, 1], [1, 3, 2, 77, 136, 71, 357, 127, 98, 74, 13, 0, 1], [1, 3, 2, 77, 138, 58, 392, 78, 133, 67, 6, 5, 0], [1, 3, 2, 77, 139, 51, 413, 43, 168, 46, 13, 4, 0], [1, 3, 2, 77, 140, 44, 434, 8, 203, 25, 20, 3, 0], [1, 3, 2, 78, 128, 99, 301, 197, 42, 102, 5, 1, 1], [1, 3, 2, 78, 129, 92, 322, 162, 77, 81, 12, 0, 1], [1, 3, 2, 78, 131, 79, 357, 113, 112, 74, 5, 5, 0], [1, 3, 2, 78, 132, 72, 378, 78, 147, 53, 12, 4, 0], [1, 3, 2, 78, 133, 65, 399, 43, 182, 32, 19, 3, 0], [1, 3, 2, 78, 134, 58, 420, 8, 217, 11, 26, 2, 0], [1, 3, 2, 79, 121, 120, 266, 232, 21, 109, 4, 1, 1], [1, 3, 2, 79, 122, 113, 287, 197, 56, 88, 11, 0, 1], [1, 3, 2, 79, 124, 100, 322, 148, 91, 81, 4, 5, 0], [1, 3, 2, 79, 125, 93, 343, 113, 126, 60, 11, 4, 0], [1, 3, 2, 79, 126, 86, 364, 78, 161, 39, 18, 3, 0], [1, 3, 2, 79, 127, 79, 385, 43, 196, 18, 25, 2, 0], [1, 3, 2, 80, 114, 141, 231, 267, 0, 116, 3, 1, 1], [1, 3, 2, 80, 115, 134, 252, 232, 35, 95, 10, 0, 1], [1, 3, 2, 80, 117, 121, 287, 183, 70, 88, 3, 5, 0], [1, 3, 2, 80, 118, 114, 308, 148, 105, 67, 10, 4, 0], [1, 3, 2, 80, 119, 107, 329, 113, 140, 46, 17, 3, 0], [1, 3, 2, 80, 120, 100, 350, 78, 175, 25, 24, 2, 0], [1, 3, 2, 80, 121, 93, 371, 43, 210, 4, 31, 1, 0], [1, 3, 2, 81, 108, 155, 217, 267, 14, 102, 9, 0, 1], [1, 3, 2, 81, 110, 142, 252, 218, 49, 95, 2, 5, 0], [1, 3, 2, 81, 111, 135, 273, 183, 84, 74, 9, 4, 0], [1, 3, 2, 81, 112, 128, 294, 148, 119, 53, 16, 3, 0], [1, 3, 2, 81, 113, 121, 315, 113, 154, 32, 23, 2, 0], [1, 3, 2, 81, 114, 114, 336, 78, 189, 11, 30, 1, 0], [1, 3, 2, 82, 103, 163, 217, 253, 28, 102, 1, 5, 0], [1, 3, 2, 82, 104, 156, 238, 218, 63, 81, 8, 4, 0], [1, 3, 2, 82, 105, 149, 259, 183, 98, 60, 15, 3, 0], [1, 3, 2, 82, 106, 142, 280, 148, 133, 39, 22, 2, 0], [1, 3, 2, 82, 107, 135, 301, 113, 168, 18, 29, 1, 0], [1, 3, 2, 83, 96, 184, 182, 288, 7, 109, 0, 5, 0], [1, 3, 2, 83, 97, 177, 203, 253, 42, 88, 7, 4, 0], [1, 3, 2, 83, 98, 170, 224, 218, 77, 67, 14, 3, 0], [1, 3, 2, 83, 99, 163, 245, 183, 112, 46, 21, 2, 0], [1, 3, 2, 83, 100, 156, 266, 148, 147, 25, 28, 1, 0], [1, 3, 2, 83, 101, 149, 287, 113, 182, 4, 35, 0, 0], [1, 3, 2, 84, 90, 198, 168, 288, 21, 95, 6, 4, 0], [1, 3, 2, 84, 91, 191, 189, 253, 56, 74, 13, 3, 0], [1, 3, 2, 84, 92, 184, 210, 218, 91, 53, 20, 2, 0], [1, 3, 2, 84, 93, 177, 231, 183, 126, 32, 27, 1, 0], [1, 3, 2, 84, 94, 170, 252, 148, 161, 11, 34, 0, 0], [1, 3, 2, 85, 83, 219, 133, 323, 0, 102, 5, 4, 0], [1, 3, 2, 85, 84, 212, 154, 288, 35, 81, 12, 3, 0], [1, 3, 2, 85, 85, 205, 175, 253, 70, 60, 19, 2, 0], [1, 3, 2, 85, 86, 198, 196, 218, 105, 39, 26, 1, 0], [1, 3, 2, 85, 87, 191, 217, 183, 140, 18, 33, 0, 0], [1, 3, 2, 86, 77, 233, 119, 323, 14, 88, 11, 3, 0], [1, 3, 2, 86, 78, 226, 140, 288, 49, 67, 18, 2, 0], [1, 3, 2, 86, 79, 219, 161, 253, 84, 46, 25, 1, 0], [1, 3, 2, 86, 80, 212, 182, 218, 119, 25, 32, 0, 0], [1, 3, 2, 87, 71, 247, 105, 323, 28, 74, 17, 2, 0], [1, 3, 2, 87, 72, 240, 126, 288, 63, 53, 24, 1, 0], [1, 3, 2, 87, 73, 233, 147, 253, 98, 32, 31, 0, 0], [1, 3, 2, 88, 64, 268, 70, 358, 7, 81, 16, 2, 0], [1, 3, 2, 88, 65, 261, 91, 323, 42, 60, 23, 1, 0], [1, 3, 2, 88, 66, 254, 112, 288, 77, 39, 30, 0, 0], [1, 3, 2, 89, 58, 282, 56, 358, 21, 67, 22, 1, 0], [1, 3, 2, 89, 59, 275, 77, 323, 56, 46, 29, 0, 0], [1, 3, 2, 90, 51, 303, 21, 393, 0, 74, 21, 1, 0], [1, 3, 2, 90, 52, 296, 42, 358, 35, 53, 28, 0, 0], [1, 3, 2, 91, 45, 317, 7, 393, 14, 60, 27, 0, 0], [1, 3, 3, 68, 169, 8, 420, 106, 77, 101, 1, 2, 1], [1, 3, 3, 68, 170, 1, 441, 71, 112, 80, 8, 1, 1], [1, 3, 3, 69, 162, 29, 385, 141, 56, 108, 0, 2, 1], [1, 3, 3, 69, 163, 22, 406, 106, 91, 87, 7, 1, 1], [1, 3, 3, 69, 164, 15, 427, 71, 126, 66, 14, 0, 1], [1, 3, 3, 69, 165, 9, 441, 57, 126, 80, 0, 6, 0], [1, 3, 3, 69, 166, 2, 462, 22, 161, 59, 7, 5, 0], [1, 3, 3, 70, 156, 43, 371, 141, 70, 94, 6, 1, 1], [1, 3, 3, 70, 157, 36, 392, 106, 105, 73, 13, 0, 1], [1, 3, 3, 70, 159, 23, 427, 57, 140, 66, 6, 5, 0], [1, 3, 3, 70, 160, 16, 448, 22, 175, 45, 13, 4, 0], [1, 3, 3, 71, 149, 64, 336, 176, 49, 101, 5, 1, 1], [1, 3, 3, 71, 150, 57, 357, 141, 84, 80, 12, 0, 1], [1, 3, 3, 71, 152, 44, 392, 92, 119, 73, 5, 5, 0], [1, 3, 3, 71, 153, 37, 413, 57, 154, 52, 12, 4, 0], [1, 3, 3, 71, 154, 30, 434, 22, 189, 31, 19, 3, 0], [1, 3, 3, 72, 142, 85, 301, 211, 28, 108, 4, 1, 1], [1, 3, 3, 72, 143, 78, 322, 176, 63, 87, 11, 0, 1], [1, 3, 3, 72, 145, 65, 357, 127, 98, 80, 4, 5, 0], [1, 3, 3, 72, 146, 58, 378, 92, 133, 59, 11, 4, 0], [1, 3, 3, 72, 147, 51, 399, 57, 168, 38, 18, 3, 0], [1, 3, 3, 72, 148, 44, 420, 22, 203, 17, 25, 2, 0], [1, 3, 3, 73, 135, 106, 266, 246, 7, 115, 3, 1, 1], [1, 3, 3, 73, 136, 99, 287, 211, 42, 94, 10, 0, 1], [1, 3, 3, 73, 138, 86, 322, 162, 77, 87, 3, 5, 0], [1, 3, 3, 73, 139, 79, 343, 127, 112, 66, 10, 4, 0], [1, 3, 3, 73, 140, 72, 364, 92, 147, 45, 17, 3, 0], [1, 3, 3, 73, 141, 65, 385, 57, 182, 24, 24, 2, 0], [1, 3, 3, 73, 142, 58, 406, 22, 217, 3, 31, 1, 0], [1, 3, 3, 74, 129, 120, 252, 246, 21, 101, 9, 0, 1], [1, 3, 3, 74, 131, 107, 287, 197, 56, 94, 2, 5, 0], [1, 3, 3, 74, 132, 100, 308, 162, 91, 73, 9, 4, 0], [1, 3, 3, 74, 133, 93, 329, 127, 126, 52, 16, 3, 0], [1, 3, 3, 74, 134, 86, 350, 92, 161, 31, 23, 2, 0], [1, 3, 3, 74, 135, 79, 371, 57, 196, 10, 30, 1, 0], [1, 3, 3, 75, 122, 141, 217, 281, 0, 108, 8, 0, 1], [1, 3, 3, 75, 124, 128, 252, 232, 35, 101, 1, 5, 0], [1, 3, 3, 75, 125, 121, 273, 197, 70, 80, 8, 4, 0], [1, 3, 3, 75, 126, 114, 294, 162, 105, 59, 15, 3, 0], [1, 3, 3, 75, 127, 107, 315, 127, 140, 38, 22, 2, 0], [1, 3, 3, 75, 128, 100, 336, 92, 175, 17, 29, 1, 0], [1, 3, 3, 76, 117, 149, 217, 267, 14, 108, 0, 5, 0], [1, 3, 3, 76, 118, 142, 238, 232, 49, 87, 7, 4, 0], [1, 3, 3, 76, 119, 135, 259, 197, 84, 66, 14, 3, 0], [1, 3, 3, 76, 120, 128, 280, 162, 119, 45, 21, 2, 0], [1, 3, 3, 76, 121, 121, 301, 127, 154, 24, 28, 1, 0], [1, 3, 3, 76, 122, 114, 322, 92, 189, 3, 35, 0, 0], [1, 3, 3, 77, 111, 163, 203, 267, 28, 94, 6, 4, 0], [1, 3, 3, 77, 112, 156, 224, 232, 63, 73, 13, 3, 0], [1, 3, 3, 77, 113, 149, 245, 197, 98, 52, 20, 2, 0], [1, 3, 3, 77, 114, 142, 266, 162, 133, 31, 27, 1, 0], [1, 3, 3, 77, 115, 135, 287, 127, 168, 10, 34, 0, 0], [1, 3, 3, 78, 104, 184, 168, 302, 7, 101, 5, 4, 0], [1, 3, 3, 78, 105, 177, 189, 267, 42, 80, 12, 3, 0], [1, 3, 3, 78, 106, 170, 210, 232, 77, 59, 19, 2, 0], [1, 3, 3, 78, 107, 163, 231, 197, 112, 38, 26, 1, 0], [1, 3, 3, 78, 108, 156, 252, 162, 147, 17, 33, 0, 0], [1, 3, 3, 79, 98, 198, 154, 302, 21, 87, 11, 3, 0], [1, 3, 3, 79, 99, 191, 175, 267, 56, 66, 18, 2, 0], [1, 3, 3, 79, 100, 184, 196, 232, 91, 45, 25, 1, 0], [1, 3, 3, 79, 101, 177, 217, 197, 126, 24, 32, 0, 0], [1, 3, 3, 80, 91, 219, 119, 337, 0, 94, 10, 3, 0], [1, 3, 3, 80, 92, 212, 140, 302, 35, 73, 17, 2, 0], [1, 3, 3, 80, 93, 205, 161, 267, 70, 52, 24, 1, 0], [1, 3, 3, 80, 94, 198, 182, 232, 105, 31, 31, 0, 0], [1, 3, 3, 81, 85, 233, 105, 337, 14, 80, 16, 2, 0], [1, 3, 3, 81, 86, 226, 126, 302, 49, 59, 23, 1, 0], [1, 3, 3, 81, 87, 219, 147, 267, 84, 38, 30, 0, 0], [1, 3, 3, 82, 79, 247, 91, 337, 28, 66, 22, 1, 0], [1, 3, 3, 82, 80, 240, 112, 302, 63, 45, 29, 0, 0], [1, 3, 3, 83, 72, 268, 56, 372, 7, 73, 21, 1, 0], [1, 3, 3, 83, 73, 261, 77, 337, 42, 52, 28, 0, 0], [1, 3, 3, 84, 66, 282, 42, 372, 21, 59, 27, 0, 0], [1, 3, 3, 85, 59, 303, 7, 407, 0, 66, 26, 0, 0], [1, 3, 4, 63, 177, 8, 406, 120, 77, 93, 6, 1, 1], [1, 3, 4, 63, 178, 1, 427, 85, 112, 72, 13, 0, 1], [1, 3, 4, 64, 170, 29, 371, 155, 56, 100, 5, 1, 1], [1, 3, 4, 64, 171, 22, 392, 120, 91, 79, 12, 0, 1], [1, 3, 4, 64, 173, 9, 427, 71, 126, 72, 5, 5, 0], [1, 3, 4, 64, 174, 2, 448, 36, 161, 51, 12, 4, 0], [1, 3, 4, 65, 163, 50, 336, 190, 35, 107, 4, 1, 1], [1, 3, 4, 65, 164, 43, 357, 155, 70, 86, 11, 0, 1], [1, 3, 4, 65, 166, 30, 392, 106, 105, 79, 4, 5, 0], [1, 3, 4, 65, 167, 23, 413, 71, 140, 58, 11, 4, 0], [1, 3, 4, 65, 168, 16, 434, 36, 175, 37, 18, 3, 0], [1, 3, 4, 65, 169, 9, 455, 1, 210, 16, 25, 2, 0], [1, 3, 4, 66, 156, 71, 301, 225, 14, 114, 3, 1, 1], [1, 3, 4, 66, 157, 64, 322, 190, 49, 93, 10, 0, 1], [1, 3, 4, 66, 159, 51, 357, 141, 84, 86, 3, 5, 0], [1, 3, 4, 66, 160, 44, 378, 106, 119, 65, 10, 4, 0], [1, 3, 4, 66, 161, 37, 399, 71, 154, 44, 17, 3, 0], [1, 3, 4, 66, 162, 30, 420, 36, 189, 23, 24, 2, 0], [1, 3, 4, 66, 163, 23, 441, 1, 224, 2, 31, 1, 0], [1, 3, 4, 67, 150, 85, 287, 225, 28, 100, 9, 0, 1], [1, 3, 4, 67, 152, 72, 322, 176, 63, 93, 2, 5, 0], [1, 3, 4, 67, 153, 65, 343, 141, 98, 72, 9, 4, 0], [1, 3, 4, 67, 154, 58, 364, 106, 133, 51, 16, 3, 0], [1, 3, 4, 67, 155, 51, 385, 71, 168, 30, 23, 2, 0], [1, 3, 4, 67, 156, 44, 406, 36, 203, 9, 30, 1, 0], [1, 3, 4, 68, 143, 106, 252, 260, 7, 107, 8, 0, 1], [1, 3, 4, 68, 145, 93, 287, 211, 42, 100, 1, 5, 0], [1, 3, 4, 68, 146, 86, 308, 176, 77, 79, 8, 4, 0], [1, 3, 4, 68, 147, 79, 329, 141, 112, 58, 15, 3, 0], [1, 3, 4, 68, 148, 72, 350, 106, 147, 37, 22, 2, 0], [1, 3, 4, 68, 149, 65, 371, 71, 182, 16, 29, 1, 0], [1, 3, 4, 69, 138, 114, 252, 246, 21, 107, 0, 5, 0], [1, 3, 4, 69, 139, 107, 273, 211, 56, 86, 7, 4, 0], [1, 3, 4, 69, 140, 100, 294, 176, 91, 65, 14, 3, 0], [1, 3, 4, 69, 141, 93, 315, 141, 126, 44, 21, 2, 0], [1, 3, 4, 69, 142, 86, 336, 106, 161, 23, 28, 1, 0], [1, 3, 4, 69, 143, 79, 357, 71, 196, 2, 35, 0, 0], [1, 3, 4, 70, 132, 128, 238, 246, 35, 93, 6, 4, 0], [1, 3, 4, 70, 133, 121, 259, 211, 70, 72, 13, 3, 0], [1, 3, 4, 70, 134, 114, 280, 176, 105, 51, 20, 2, 0], [1, 3, 4, 70, 135, 107, 301, 141, 140, 30, 27, 1, 0], [1, 3, 4, 70, 136, 100, 322, 106, 175, 9, 34, 0, 0], [1, 3, 4, 71, 125, 149, 203, 281, 14, 100, 5, 4, 0], [1, 3, 4, 71, 126, 142, 224, 246, 49, 79, 12, 3, 0], [1, 3, 4, 71, 127, 135, 245, 211, 84, 58, 19, 2, 0], [1, 3, 4, 71, 128, 128, 266, 176, 119, 37, 26, 1, 0], [1, 3, 4, 71, 129, 121, 287, 141, 154, 16, 33, 0, 0], [1, 3, 4, 72, 119, 163, 189, 281, 28, 86, 11, 3, 0], [1, 3, 4, 72, 120, 156, 210, 246, 63, 65, 18, 2, 0], [1, 3, 4, 72, 121, 149, 231, 211, 98, 44, 25, 1, 0], [1, 3, 4, 72, 122, 142, 252, 176, 133, 23, 32, 0, 0], [1, 3, 4, 73, 112, 184, 154, 316, 7, 93, 10, 3, 0], [1, 3, 4, 73, 113, 177, 175, 281, 42, 72, 17, 2, 0], [1, 3, 4, 73, 114, 170, 196, 246, 77, 51, 24, 1, 0], [1, 3, 4, 73, 115, 163, 217, 211, 112, 30, 31, 0, 0], [1, 3, 4, 74, 106, 198, 140, 316, 21, 79, 16, 2, 0], [1, 3, 4, 74, 107, 191, 161, 281, 56, 58, 23, 1, 0], [1, 3, 4, 74, 108, 184, 182, 246, 91, 37, 30, 0, 0], [1, 3, 4, 75, 99, 219, 105, 351, 0, 86, 15, 2, 0], [1, 3, 4, 75, 100, 212, 126, 316, 35, 65, 22, 1, 0], [1, 3, 4, 75, 101, 205, 147, 281, 70, 44, 29, 0, 0], [1, 3, 4, 76, 93, 233, 91, 351, 14, 72, 21, 1, 0], [1, 3, 4, 76, 94, 226, 112, 316, 49, 51, 28, 0, 0], [1, 3, 4, 77, 87, 247, 77, 351, 28, 58, 27, 0, 0], [1, 3, 4, 78, 80, 268, 42, 386, 7, 65, 26, 0, 0], [1, 3, 5, 58, 184, 15, 371, 169, 42, 106, 4, 1, 1], [1, 3, 5, 58, 185, 8, 392, 134, 77, 85, 11, 0, 1], [1, 3, 5, 59, 177, 36, 336, 204, 21, 113, 3, 1, 1], [1, 3, 5, 59, 178, 29, 357, 169, 56, 92, 10, 0, 1], [1, 3, 5, 59, 180, 16, 392, 120, 91, 85, 3, 5, 0], [1, 3, 5, 59, 181, 9, 413, 85, 126, 64, 10, 4, 0], [1, 3, 5, 59, 182, 2, 434, 50, 161, 43, 17, 3, 0], [1, 3, 5, 60, 170, 57, 301, 239, 0, 120, 2, 1, 1], [1, 3, 5, 60, 171, 50, 322, 204, 35, 99, 9, 0, 1], [1, 3, 5, 60, 173, 37, 357, 155, 70, 92, 2, 5, 0], [1, 3, 5, 60, 174, 30, 378, 120, 105, 71, 9, 4, 0], [1, 3, 5, 60, 175, 23, 399, 85, 140, 50, 16, 3, 0], [1, 3, 5, 60, 176, 16, 420, 50, 175, 29, 23, 2, 0], [1, 3, 5, 60, 177, 9, 441, 15, 210, 8, 30, 1, 0], [1, 3, 5, 61, 164, 71, 287, 239, 14, 106, 8, 0, 1], [1, 3, 5, 61, 166, 58, 322, 190, 49, 99, 1, 5, 0], [1, 3, 5, 61, 167, 51, 343, 155, 84, 78, 8, 4, 0], [1, 3, 5, 61, 168, 44, 364, 120, 119, 57, 15, 3, 0], [1, 3, 5, 61, 169, 37, 385, 85, 154, 36, 22, 2, 0], [1, 3, 5, 61, 170, 30, 406, 50, 189, 15, 29, 1, 0], [1, 3, 5, 62, 159, 79, 287, 225, 28, 106, 0, 5, 0], [1, 3, 5, 62, 160, 72, 308, 190, 63, 85, 7, 4, 0], [1, 3, 5, 62, 161, 65, 329, 155, 98, 64, 14, 3, 0], [1, 3, 5, 62, 162, 58, 350, 120, 133, 43, 21, 2, 0], [1, 3, 5, 62, 163, 51, 371, 85, 168, 22, 28, 1, 0], [1, 3, 5, 62, 164, 44, 392, 50, 203, 1, 35, 0, 0], [1, 3, 5, 63, 153, 93, 273, 225, 42, 92, 6, 4, 0], [1, 3, 5, 63, 154, 86, 294, 190, 77, 71, 13, 3, 0], [1, 3, 5, 63, 155, 79, 315, 155, 112, 50, 20, 2, 0], [1, 3, 5, 63, 156, 72, 336, 120, 147, 29, 27, 1, 0], [1, 3, 5, 63, 157, 65, 357, 85, 182, 8, 34, 0, 0], [1, 3, 5, 64, 146, 114, 238, 260, 21, 99, 5, 4, 0], [1, 3, 5, 64, 147, 107, 259, 225, 56, 78, 12, 3, 0], [1, 3, 5, 64, 148, 100, 280, 190, 91, 57, 19, 2, 0], [1, 3, 5, 64, 149, 93, 301, 155, 126, 36, 26, 1, 0], [1, 3, 5, 64, 150, 86, 322, 120, 161, 15, 33, 0, 0], [1, 3, 5, 65, 139, 135, 203, 295, 0, 106, 4, 4, 0], [1, 3, 5, 65, 140, 128, 224, 260, 35, 85, 11, 3, 0], [1, 3, 5, 65, 141, 121, 245, 225, 70, 64, 18, 2, 0], [1, 3, 5, 65, 142, 114, 266, 190, 105, 43, 25, 1, 0], [1, 3, 5, 65, 143, 107, 287, 155, 140, 22, 32, 0, 0], [1, 3, 5, 66, 133, 149, 189, 295, 14, 92, 10, 3, 0], [1, 3, 5, 66, 134, 142, 210, 260, 49, 71, 17, 2, 0], [1, 3, 5, 66, 135, 135, 231, 225, 84, 50, 24, 1, 0], [1, 3, 5, 66, 136, 128, 252, 190, 119, 29, 31, 0, 0], [1, 3, 5, 67, 127, 163, 175, 295, 28, 78, 16, 2, 0], [1, 3, 5, 67, 128, 156, 196, 260, 63, 57, 23, 1, 0], [1, 3, 5, 67, 129, 149, 217, 225, 98, 36, 30, 0, 0], [1, 3, 5, 68, 120, 184, 140, 330, 7, 85, 15, 2, 0], [1, 3, 5, 68, 121, 177, 161, 295, 42, 64, 22, 1, 0], [1, 3, 5, 68, 122, 170, 182, 260, 77, 43, 29, 0, 0], [1, 3, 5, 69, 114, 198, 126, 330, 21, 71, 21, 1, 0], [1, 3, 5, 69, 115, 191, 147, 295, 56, 50, 28, 0, 0], [1, 3, 5, 70, 107, 219, 91, 365, 0, 78, 20, 1, 0], [1, 3, 5, 70, 108, 212, 112, 330, 35, 57, 27, 0, 0], [1, 3, 5, 71, 101, 233, 77, 365, 14, 64, 26, 0, 0], [1, 3, 6, 52, 198, 1, 371, 183, 28, 112, 3, 1, 1], [1, 3, 6, 53, 191, 22, 336, 218, 7, 119, 2, 1, 1], [1, 3, 6, 53, 192, 15, 357, 183, 42, 98, 9, 0, 1], [1, 3, 6, 53, 194, 2, 392, 134, 77, 91, 2, 5, 0], [1, 3, 6, 54, 185, 36, 322, 218, 21, 105, 8, 0, 1], [1, 3, 6, 54, 187, 23, 357, 169, 56, 98, 1, 5, 0], [1, 3, 6, 54, 188, 16, 378, 134, 91, 77, 8, 4, 0], [1, 3, 6, 54, 189, 9, 399, 99, 126, 56, 15, 3, 0], [1, 3, 6, 54, 190, 2, 420, 64, 161, 35, 22, 2, 0], [1, 3, 6, 55, 178, 57, 287, 253, 0, 112, 7, 0, 1], [1, 3, 6, 55, 180, 44, 322, 204, 35, 105, 0, 5, 0], [1, 3, 6, 55, 181, 37, 343, 169, 70, 84, 7, 4, 0], [1, 3, 6, 55, 182, 30, 364, 134, 105, 63, 14, 3, 0], [1, 3, 6, 55, 183, 23, 385, 99, 140, 42, 21, 2, 0], [1, 3, 6, 55, 184, 16, 406, 64, 175, 21, 28, 1, 0], [1, 3, 6, 55, 185, 9, 427, 29, 210, 0, 35, 0, 0], [1, 3, 6, 56, 174, 58, 308, 204, 49, 91, 6, 4, 0], [1, 3, 6, 56, 175, 51, 329, 169, 84, 70, 13, 3, 0], [1, 3, 6, 56, 176, 44, 350, 134, 119, 49, 20, 2, 0], [1, 3, 6, 56, 177, 37, 371, 99, 154, 28, 27, 1, 0], [1, 3, 6, 56, 178, 30, 392, 64, 189, 7, 34, 0, 0], [1, 3, 6, 57, 167, 79, 273, 239, 28, 98, 5, 4, 0], [1, 3, 6, 57, 168, 72, 294, 204, 63, 77, 12, 3, 0], [1, 3, 6, 57, 169, 65, 315, 169, 98, 56, 19, 2, 0], [1, 3, 6, 57, 170, 58, 336, 134, 133, 35, 26, 1, 0], [1, 3, 6, 57, 171, 51, 357, 99, 168, 14, 33, 0, 0], [1, 3, 6, 58, 160, 100, 238, 274, 7, 105, 4, 4, 0], [1, 3, 6, 58, 161, 93, 259, 239, 42, 84, 11, 3, 0], [1, 3, 6, 58, 162, 86, 280, 204, 77, 63, 18, 2, 0], [1, 3, 6, 58, 163, 79, 301, 169, 112, 42, 25, 1, 0], [1, 3, 6, 58, 164, 72, 322, 134, 147, 21, 32, 0, 0], [1, 3, 6, 59, 154, 114, 224, 274, 21, 91, 10, 3, 0], [1, 3, 6, 59, 155, 107, 245, 239, 56, 70, 17, 2, 0], [1, 3, 6, 59, 156, 100, 266, 204, 91, 49, 24, 1, 0], [1, 3, 6, 59, 157, 93, 287, 169, 126, 28, 31, 0, 0], [1, 3, 6, 60, 147, 135, 189, 309, 0, 98, 9, 3, 0], [1, 3, 6, 60, 148, 128, 210, 274, 35, 77, 16, 2, 0], [1, 3, 6, 60, 149, 121, 231, 239, 70, 56, 23, 1, 0], [1, 3, 6, 60, 150, 114, 252, 204, 105, 35, 30, 0, 0], [1, 3, 6, 61, 141, 149, 175, 309, 14, 84, 15, 2, 0], [1, 3, 6, 61, 142, 142, 196, 274, 49, 63, 22, 1, 0], [1, 3, 6, 61, 143, 135, 217, 239, 84, 42, 29, 0, 0], [1, 3, 6, 62, 135, 163, 161, 309, 28, 70, 21, 1, 0], [1, 3, 6, 62, 136, 156, 182, 274, 63, 49, 28, 0, 0], [1, 3, 6, 63, 128, 184, 126, 344, 7, 77, 20, 1, 0], [1, 3, 6, 63, 129, 177, 147, 309, 42, 56, 27, 0, 0], [1, 3, 6, 64, 122, 198, 112, 344, 21, 63, 26, 0, 0], [1, 3, 6, 65, 115, 219, 77, 379, 0, 70, 25, 0, 0], [1, 3, 7, 47, 206, 1, 357, 197, 28, 104, 8, 0, 1], [1, 3, 7, 48, 199, 22, 322, 232, 7, 111, 7, 0, 1], [1, 3, 7, 48, 201, 9, 357, 183, 42, 104, 0, 5, 0], [1, 3, 7, 48, 202, 2, 378, 148, 77, 83, 7, 4, 0], [1, 3, 7, 49, 195, 23, 343, 183, 56, 90, 6, 4, 0], [1, 3, 7, 49, 196, 16, 364, 148, 91, 69, 13, 3, 0], [1, 3, 7, 49, 197, 9, 385, 113, 126, 48, 20, 2, 0], [1, 3, 7, 49, 198, 2, 406, 78, 161, 27, 27, 1, 0], [1, 3, 7, 50, 188, 44, 308, 218, 35, 97, 5, 4, 0], [1, 3, 7, 50, 189, 37, 329, 183, 70, 76, 12, 3, 0], [1, 3, 7, 50, 190, 30, 350, 148, 105, 55, 19, 2, 0], [1, 3, 7, 50, 191, 23, 371, 113, 140, 34, 26, 1, 0], [1, 3, 7, 50, 192, 16, 392, 78, 175, 13, 33, 0, 0], [1, 3, 7, 51, 181, 65, 273, 253, 14, 104, 4, 4, 0], [1, 3, 7, 51, 182, 58, 294, 218, 49, 83, 11, 3, 0], [1, 3, 7, 51, 183, 51, 315, 183, 84, 62, 18, 2, 0], [1, 3, 7, 51, 184, 44, 336, 148, 119, 41, 25, 1, 0], [1, 3, 7, 51, 185, 37, 357, 113, 154, 20, 32, 0, 0], [1, 3, 7, 52, 175, 79, 259, 253, 28, 90, 10, 3, 0], [1, 3, 7, 52, 176, 72, 280, 218, 63, 69, 17, 2, 0], [1, 3, 7, 52, 177, 65, 301, 183, 98, 48, 24, 1, 0], [1, 3, 7, 52, 178, 58, 322, 148, 133, 27, 31, 0, 0], [1, 3, 7, 53, 168, 100, 224, 288, 7, 97, 9, 3, 0], [1, 3, 7, 53, 169, 93, 245, 253, 42, 76, 16, 2, 0], [1, 3, 7, 53, 170, 86, 266, 218, 77, 55, 23, 1, 0], [1, 3, 7, 53, 171, 79, 287, 183, 112, 34, 30, 0, 0], [1, 3, 7, 54, 162, 114, 210, 288, 21, 83, 15, 2, 0], [1, 3, 7, 54, 163, 107, 231, 253, 56, 62, 22, 1, 0], [1, 3, 7, 54, 164, 100, 252, 218, 91, 41, 29, 0, 0], [1, 3, 7, 55, 155, 135, 175, 323, 0, 90, 14, 2, 0], [1, 3, 7, 55, 156, 128, 196, 288, 35, 69, 21, 1, 0], [1, 3, 7, 55, 157, 121, 217, 253, 70, 48, 28, 0, 0], [1, 3, 7, 56, 149, 149, 161, 323, 14, 76, 20, 1, 0], [1, 3, 7, 56, 150, 142, 182, 288, 49, 55, 27, 0, 0], [1, 3, 7, 57, 143, 163, 147, 323, 28, 62, 26, 0, 0], [1, 3, 7, 58, 136, 184, 112, 358, 7, 69, 25, 0, 0], [1, 3, 8, 43, 209, 9, 343, 197, 42, 96, 5, 4, 0], [1, 3, 8, 43, 210, 2, 364, 162, 77, 75, 12, 3, 0], [1, 3, 8, 44, 202, 30, 308, 232, 21, 103, 4, 4, 0], [1, 3, 8, 44, 203, 23, 329, 197, 56, 82, 11, 3, 0], [1, 3, 8, 44, 204, 16, 350, 162, 91, 61, 18, 2, 0], [1, 3, 8, 44, 205, 9, 371, 127, 126, 40, 25, 1, 0], [1, 3, 8, 44, 206, 2, 392, 92, 161, 19, 32, 0, 0], [1, 3, 8, 45, 195, 51, 273, 267, 0, 110, 3, 4, 0], [1, 3, 8, 45, 196, 44, 294, 232, 35, 89, 10, 3, 0], [1, 3, 8, 45, 197, 37, 315, 197, 70, 68, 17, 2, 0], [1, 3, 8, 45, 198, 30, 336, 162, 105, 47, 24, 1, 0], [1, 3, 8, 45, 199, 23, 357, 127, 140, 26, 31, 0, 0], [1, 3, 8, 46, 189, 65, 259, 267, 14, 96, 9, 3, 0], [1, 3, 8, 46, 190, 58, 280, 232, 49, 75, 16, 2, 0], [1, 3, 8, 46, 191, 51, 301, 197, 84, 54, 23, 1, 0], [1, 3, 8, 46, 192, 44, 322, 162, 119, 33, 30, 0, 0], [1, 3, 8, 47, 183, 79, 245, 267, 28, 82, 15, 2, 0], [1, 3, 8, 47, 184, 72, 266, 232, 63, 61, 22, 1, 0], [1, 3, 8, 47, 185, 65, 287, 197, 98, 40, 29, 0, 0], [1, 3, 8, 48, 176, 100, 210, 302, 7, 89, 14, 2, 0], [1, 3, 8, 48, 177, 93, 231, 267, 42, 68, 21, 1, 0], [1, 3, 8, 48, 178, 86, 252, 232, 77, 47, 28, 0, 0], [1, 3, 8, 49, 170, 114, 196, 302, 21, 75, 20, 1, 0], [1, 3, 8, 49, 171, 107, 217, 267, 56, 54, 27, 0, 0], [1, 3, 8, 50, 163, 135, 161, 337, 0, 82, 19, 1, 0], [1, 3, 8, 50, 164, 128, 182, 302, 35, 61, 26, 0, 0], [1, 3, 8, 51, 157, 149, 147, 337, 14, 68, 25, 0, 0], [1, 3, 9, 38, 216, 16, 308, 246, 7, 109, 3, 4, 0], [1, 3, 9, 38, 217, 9, 329, 211, 42, 88, 10, 3, 0], [1, 3, 9, 38, 218, 2, 350, 176, 77, 67, 17, 2, 0], [1, 3, 9, 39, 210, 30, 294, 246, 21, 95, 9, 3, 0], [1, 3, 9, 39, 211, 23, 315, 211, 56, 74, 16, 2, 0], [1, 3, 9, 39, 212, 16, 336, 176, 91, 53, 23, 1, 0], [1, 3, 9, 39, 213, 9, 357, 141, 126, 32, 30, 0, 0], [1, 3, 9, 40, 203, 51, 259, 281, 0, 102, 8, 3, 0], [1, 3, 9, 40, 204, 44, 280, 246, 35, 81, 15, 2, 0], [1, 3, 9, 40, 205, 37, 301, 211, 70, 60, 22, 1, 0], [1, 3, 9, 40, 206, 30, 322, 176, 105, 39, 29, 0, 0], [1, 3, 9, 41, 197, 65, 245, 281, 14, 88, 14, 2, 0], [1, 3, 9, 41, 198, 58, 266, 246, 49, 67, 21, 1, 0], [1, 3, 9, 41, 199, 51, 287, 211, 84, 46, 28, 0, 0], [1, 3, 9, 42, 191, 79, 231, 281, 28, 74, 20, 1, 0], [1, 3, 9, 42, 192, 72, 252, 246, 63, 53, 27, 0, 0], [1, 3, 9, 43, 184, 100, 196, 316, 7, 81, 19, 1, 0], [1, 3, 9, 43, 185, 93, 217, 281, 42, 60, 26, 0, 0], [1, 3, 9, 44, 178, 114, 182, 316, 21, 67, 25, 0, 0], [1, 3, 9, 45, 171, 135, 147, 351, 0, 74, 24, 0, 0], [1, 3, 10, 33, 224, 16, 294, 260, 7, 101, 8, 3, 0], [1, 3, 10, 33, 225, 9, 315, 225, 42, 80, 15, 2, 0], [1, 3, 10, 33, 226, 2, 336, 190, 77, 59, 22, 1, 0], [1, 3, 10, 34, 218, 30, 280, 260, 21, 87, 14, 2, 0], [1, 3, 10, 34, 219, 23, 301, 225, 56, 66, 21, 1, 0], [1, 3, 10, 34, 220, 16, 322, 190, 91, 45, 28, 0, 0], [1, 3, 10, 35, 211, 51, 245, 295, 0, 94, 13, 2, 0], [1, 3, 10, 35, 212, 44, 266, 260, 35, 73, 20, 1, 0], [1, 3, 10, 35, 213, 37, 287, 225, 70, 52, 27, 0, 0], [1, 3, 10, 36, 205, 65, 231, 295, 14, 80, 19, 1, 0], [1, 3, 10, 36, 206, 58, 252, 260, 49, 59, 26, 0, 0], [1, 3, 10, 37, 199, 79, 217, 295, 28, 66, 25, 0, 0], [1, 3, 10, 38, 192, 100, 182, 330, 7, 73, 24, 0, 0], [1, 3, 11, 28, 232, 16, 280, 274, 7, 93, 13, 2, 0], [1, 3, 11, 28, 233, 9, 301, 239, 42, 72, 20, 1, 0], [1, 3, 11, 28, 234, 2, 322, 204, 77, 51, 27, 0, 0], [1, 3, 11, 29, 226, 30, 266, 274, 21, 79, 19, 1, 0], [1, 3, 11, 29, 227, 23, 287, 239, 56, 58, 26, 0, 0], [1, 3, 11, 30, 219, 51, 231, 309, 0, 86, 18, 1, 0], [1, 3, 11, 30, 220, 44, 252, 274, 35, 65, 25, 0, 0], [1, 3, 11, 31, 213, 65, 217, 309, 14, 72, 24, 0, 0], [1, 3, 12, 23, 240, 16, 266, 288, 7, 85, 18, 1, 0], [1, 3, 12, 23, 241, 9, 287, 253, 42, 64, 25, 0, 0], [1, 3, 12, 24, 234, 30, 252, 288, 21, 71, 24, 0, 0], [1, 3, 12, 25, 227, 51, 217, 323, 0, 78, 23, 0, 0], [1, 3, 13, 18, 248, 16, 252, 302, 7, 77, 23, 0, 0], [1, 4, 0, 66, 184, 1, 385, 169, 34, 111, 3, 1, 1], [1, 4, 0, 67, 177, 22, 350, 204, 13, 118, 2, 1, 1], [1, 4, 0, 67, 178, 15, 371, 169, 48, 97, 9, 0, 1], [1, 4, 0, 67, 180, 2, 406, 120, 83, 90, 2, 5, 0], [1, 4, 0, 68, 171, 36, 336, 204, 27, 104, 8, 0, 1], [1, 4, 0, 68, 173, 23, 371, 155, 62, 97, 1, 5, 0], [1, 4, 0, 68, 174, 16, 392, 120, 97, 76, 8, 4, 0], [1, 4, 0, 68, 175, 9, 413, 85, 132, 55, 15, 3, 0], [1, 4, 0, 68, 176, 2, 434, 50, 167, 34, 22, 2, 0], [1, 4, 0, 69, 164, 57, 301, 239, 6, 111, 7, 0, 1], [1, 4, 0, 69, 166, 44, 336, 190, 41, 104, 0, 5, 0], [1, 4, 0, 69, 167, 37, 357, 155, 76, 83, 7, 4, 0], [1, 4, 0, 69, 168, 30, 378, 120, 111, 62, 14, 3, 0], [1, 4, 0, 69, 169, 23, 399, 85, 146, 41, 21, 2, 0], [1, 4, 0, 69, 170, 16, 420, 50, 181, 20, 28, 1, 0], [1, 4, 0, 70, 160, 58, 322, 190, 55, 90, 6, 4, 0], [1, 4, 0, 70, 161, 51, 343, 155, 90, 69, 13, 3, 0], [1, 4, 0, 70, 162, 44, 364, 120, 125, 48, 20, 2, 0], [1, 4, 0, 70, 163, 37, 385, 85, 160, 27, 27, 1, 0], [1, 4, 0, 70, 164, 30, 406, 50, 195, 6, 34, 0, 0], [1, 4, 0, 71, 153, 79, 287, 225, 34, 97, 5, 4, 0], [1, 4, 0, 71, 154, 72, 308, 190, 69, 76, 12, 3, 0], [1, 4, 0, 71, 155, 65, 329, 155, 104, 55, 19, 2, 0], [1, 4, 0, 71, 156, 58, 350, 120, 139, 34, 26, 1, 0], [1, 4, 0, 71, 157, 51, 371, 85, 174, 13, 33, 0, 0], [1, 4, 0, 72, 146, 100, 252, 260, 13, 104, 4, 4, 0], [1, 4, 0, 72, 147, 93, 273, 225, 48, 83, 11, 3, 0], [1, 4, 0, 72, 148, 86, 294, 190, 83, 62, 18, 2, 0], [1, 4, 0, 72, 149, 79, 315, 155, 118, 41, 25, 1, 0], [1, 4, 0, 72, 150, 72, 336, 120, 153, 20, 32, 0, 0], [1, 4, 0, 73, 140, 114, 238, 260, 27, 90, 10, 3, 0], [1, 4, 0, 73, 141, 107, 259, 225, 62, 69, 17, 2, 0], [1, 4, 0, 73, 142, 100, 280, 190, 97, 48, 24, 1, 0], [1, 4, 0, 73, 143, 93, 301, 155, 132, 27, 31, 0, 0], [1, 4, 0, 74, 133, 135, 203, 295, 6, 97, 9, 3, 0], [1, 4, 0, 74, 134, 128, 224, 260, 41, 76, 16, 2, 0], [1, 4, 0, 74, 135, 121, 245, 225, 76, 55, 23, 1, 0], [1, 4, 0, 74, 136, 114, 266, 190, 111, 34, 30, 0, 0], [1, 4, 0, 75, 127, 149, 189, 295, 20, 83, 15, 2, 0], [1, 4, 0, 75, 128, 142, 210, 260, 55, 62, 22, 1, 0], [1, 4, 0, 75, 129, 135, 231, 225, 90, 41, 29, 0, 0], [1, 4, 0, 76, 121, 163, 175, 295, 34, 69, 21, 1, 0], [1, 4, 0, 76, 122, 156, 196, 260, 69, 48, 28, 0, 0], [1, 4, 0, 77, 114, 184, 140, 330, 13, 76, 20, 1, 0], [1, 4, 0, 77, 115, 177, 161, 295, 48, 55, 27, 0, 0], [1, 4, 0, 78, 108, 198, 126, 330, 27, 62, 26, 0, 0], [1, 4, 0, 79, 101, 219, 91, 365, 6, 69, 25, 0, 0], [1, 4, 1, 61, 192, 1, 371, 183, 34, 103, 8, 0, 1], [1, 4, 1, 62, 185, 22, 336, 218, 13, 110, 7, 0, 1], [1, 4, 1, 62, 187, 9, 371, 169, 48, 103, 0, 5, 0], [1, 4, 1, 62, 188, 2, 392, 134, 83, 82, 7, 4, 0], [1, 4, 1, 63, 181, 23, 357, 169, 62, 89, 6, 4, 0], [1, 4, 1, 63, 182, 16, 378, 134, 97, 68, 13, 3, 0], [1, 4, 1, 63, 183, 9, 399, 99, 132, 47, 20, 2, 0], [1, 4, 1, 63, 184, 2, 420, 64, 167, 26, 27, 1, 0], [1, 4, 1, 64, 174, 44, 322, 204, 41, 96, 5, 4, 0], [1, 4, 1, 64, 175, 37, 343, 169, 76, 75, 12, 3, 0], [1, 4, 1, 64, 176, 30, 364, 134, 111, 54, 19, 2, 0], [1, 4, 1, 64, 177, 23, 385, 99, 146, 33, 26, 1, 0], [1, 4, 1, 64, 178, 16, 406, 64, 181, 12, 33, 0, 0], [1, 4, 1, 65, 167, 65, 287, 239, 20, 103, 4, 4, 0], [1, 4, 1, 65, 168, 58, 308, 204, 55, 82, 11, 3, 0], [1, 4, 1, 65, 169, 51, 329, 169, 90, 61, 18, 2, 0], [1, 4, 1, 65, 170, 44, 350, 134, 125, 40, 25, 1, 0], [1, 4, 1, 65, 171, 37, 371, 99, 160, 19, 32, 0, 0], [1, 4, 1, 66, 161, 79, 273, 239, 34, 89, 10, 3, 0], [1, 4, 1, 66, 162, 72, 294, 204, 69, 68, 17, 2, 0], [1, 4, 1, 66, 163, 65, 315, 169, 104, 47, 24, 1, 0], [1, 4, 1, 66, 164, 58, 336, 134, 139, 26, 31, 0, 0], [1, 4, 1, 67, 154, 100, 238, 274, 13, 96, 9, 3, 0], [1, 4, 1, 67, 155, 93, 259, 239, 48, 75, 16, 2, 0], [1, 4, 1, 67, 156, 86, 280, 204, 83, 54, 23, 1, 0], [1, 4, 1, 67, 157, 79, 301, 169, 118, 33, 30, 0, 0], [1, 4, 1, 68, 148, 114, 224, 274, 27, 82, 15, 2, 0], [1, 4, 1, 68, 149, 107, 245, 239, 62, 61, 22, 1, 0], [1, 4, 1, 68, 150, 100, 266, 204, 97, 40, 29, 0, 0], [1, 4, 1, 69, 141, 135, 189, 309, 6, 89, 14, 2, 0], [1, 4, 1, 69, 142, 128, 210, 274, 41, 68, 21, 1, 0], [1, 4, 1, 69, 143, 121, 231, 239, 76, 47, 28, 0, 0], [1, 4, 1, 70, 135, 149, 175, 309, 20, 75, 20, 1, 0], [1, 4, 1, 70, 136, 142, 196, 274, 55, 54, 27, 0, 0], [1, 4, 1, 71, 129, 163, 161, 309, 34, 61, 26, 0, 0], [1, 4, 1, 72, 122, 184, 126, 344, 13, 68, 25, 0, 0], [1, 4, 2, 57, 195, 9, 357, 183, 48, 95, 5, 4, 0], [1, 4, 2, 57, 196, 2, 378, 148, 83, 74, 12, 3, 0], [1, 4, 2, 58, 188, 30, 322, 218, 27, 102, 4, 4, 0], [1, 4, 2, 58, 189, 23, 343, 183, 62, 81, 11, 3, 0], [1, 4, 2, 58, 190, 16, 364, 148, 97, 60, 18, 2, 0], [1, 4, 2, 58, 191, 9, 385, 113, 132, 39, 25, 1, 0], [1, 4, 2, 58, 192, 2, 406, 78, 167, 18, 32, 0, 0], [1, 4, 2, 59, 181, 51, 287, 253, 6, 109, 3, 4, 0], [1, 4, 2, 59, 182, 44, 308, 218, 41, 88, 10, 3, 0], [1, 4, 2, 59, 183, 37, 329, 183, 76, 67, 17, 2, 0], [1, 4, 2, 59, 184, 30, 350, 148, 111, 46, 24, 1, 0], [1, 4, 2, 59, 185, 23, 371, 113, 146, 25, 31, 0, 0], [1, 4, 2, 60, 175, 65, 273, 253, 20, 95, 9, 3, 0], [1, 4, 2, 60, 176, 58, 294, 218, 55, 74, 16, 2, 0], [1, 4, 2, 60, 177, 51, 315, 183, 90, 53, 23, 1, 0], [1, 4, 2, 60, 178, 44, 336, 148, 125, 32, 30, 0, 0], [1, 4, 2, 61, 169, 79, 259, 253, 34, 81, 15, 2, 0], [1, 4, 2, 61, 170, 72, 280, 218, 69, 60, 22, 1, 0], [1, 4, 2, 61, 171, 65, 301, 183, 104, 39, 29, 0, 0], [1, 4, 2, 62, 162, 100, 224, 288, 13, 88, 14, 2, 0], [1, 4, 2, 62, 163, 93, 245, 253, 48, 67, 21, 1, 0], [1, 4, 2, 62, 164, 86, 266, 218, 83, 46, 28, 0, 0], [1, 4, 2, 63, 156, 114, 210, 288, 27, 74, 20, 1, 0], [1, 4, 2, 63, 157, 107, 231, 253, 62, 53, 27, 0, 0], [1, 4, 2, 64, 149, 135, 175, 323, 6, 81, 19, 1, 0], [1, 4, 2, 64, 150, 128, 196, 288, 41, 60, 26, 0, 0], [1, 4, 2, 65, 143, 149, 161, 323, 20, 67, 25, 0, 0], [1, 4, 3, 52, 202, 16, 322, 232, 13, 108, 3, 4, 0], [1, 4, 3, 52, 203, 9, 343, 197, 48, 87, 10, 3, 0], [1, 4, 3, 52, 204, 2, 364, 162, 83, 66, 17, 2, 0], [1, 4, 3, 53, 196, 30, 308, 232, 27, 94, 9, 3, 0], [1, 4, 3, 53, 197, 23, 329, 197, 62, 73, 16, 2, 0], [1, 4, 3, 53, 198, 16, 350, 162, 97, 52, 23, 1, 0], [1, 4, 3, 53, 199, 9, 371, 127, 132, 31, 30, 0, 0], [1, 4, 3, 54, 189, 51, 273, 267, 6, 101, 8, 3, 0], [1, 4, 3, 54, 190, 44, 294, 232, 41, 80, 15, 2, 0], [1, 4, 3, 54, 191, 37, 315, 197, 76, 59, 22, 1, 0], [1, 4, 3, 54, 192, 30, 336, 162, 111, 38, 29, 0, 0], [1, 4, 3, 55, 183, 65, 259, 267, 20, 87, 14, 2, 0], [1, 4, 3, 55, 184, 58, 280, 232, 55, 66, 21, 1, 0], [1, 4, 3, 55, 185, 51, 301, 197, 90, 45, 28, 0, 0], [1, 4, 3, 56, 177, 79, 245, 267, 34, 73, 20, 1, 0], [1, 4, 3, 56, 178, 72, 266, 232, 69, 52, 27, 0, 0], [1, 4, 3, 57, 170, 100, 210, 302, 13, 80, 19, 1, 0], [1, 4, 3, 57, 171, 93, 231, 267, 48, 59, 26, 0, 0], [1, 4, 3, 58, 164, 114, 196, 302, 27, 66, 25, 0, 0], [1, 4, 3, 59, 157, 135, 161, 337, 6, 73, 24, 0, 0], [1, 4, 4, 47, 210, 16, 308, 246, 13, 100, 8, 3, 0], [1, 4, 4, 47, 211, 9, 329, 211, 48, 79, 15, 2, 0], [1, 4, 4, 47, 212, 2, 350, 176, 83, 58, 22, 1, 0], [1, 4, 4, 48, 204, 30, 294, 246, 27, 86, 14, 2, 0], [1, 4, 4, 48, 205, 23, 315, 211, 62, 65, 21, 1, 0], [1, 4, 4, 48, 206, 16, 336, 176, 97, 44, 28, 0, 0], [1, 4, 4, 49, 197, 51, 259, 281, 6, 93, 13, 2, 0], [1, 4, 4, 49, 198, 44, 280, 246, 41, 72, 20, 1, 0], [1, 4, 4, 49, 199, 37, 301, 211, 76, 51, 27, 0, 0], [1, 4, 4, 50, 191, 65, 245, 281, 20, 79, 19, 1, 0], [1, 4, 4, 50, 192, 58, 266, 246, 55, 58, 26, 0, 0], [1, 4, 4, 51, 185, 79, 231, 281, 34, 65, 25, 0, 0], [1, 4, 4, 52, 178, 100, 196, 316, 13, 72, 24, 0, 0], [1, 4, 5, 42, 218, 16, 294, 260, 13, 92, 13, 2, 0], [1, 4, 5, 42, 219, 9, 315, 225, 48, 71, 20, 1, 0], [1, 4, 5, 42, 220, 2, 336, 190, 83, 50, 27, 0, 0], [1, 4, 5, 43, 212, 30, 280, 260, 27, 78, 19, 1, 0], [1, 4, 5, 43, 213, 23, 301, 225, 62, 57, 26, 0, 0], [1, 4, 5, 44, 205, 51, 245, 295, 6, 85, 18, 1, 0], [1, 4, 5, 44, 206, 44, 266, 260, 41, 64, 25, 0, 0], [1, 4, 5, 45, 199, 65, 231, 295, 20, 71, 24, 0, 0], [1, 4, 6, 37, 226, 16, 280, 274, 13, 84, 18, 1, 0], [1, 4, 6, 37, 227, 9, 301, 239, 48, 63, 25, 0, 0], [1, 4, 6, 38, 220, 30, 266, 274, 27, 70, 24, 0, 0], [1, 4, 6, 39, 213, 51, 231, 309, 6, 77, 23, 0, 0], [1, 4, 7, 32, 234, 16, 266, 288, 13, 76, 23, 0, 0], [1, 5, 0, 50, 218, 2, 308, 260, 5, 97, 12, 2, 0], [1, 5, 0, 51, 212, 16, 294, 260, 19, 83, 18, 1, 0], [1, 5, 0, 51, 213, 9, 315, 225, 54, 62, 25, 0, 0], [1, 5, 0, 52, 206, 30, 280, 260, 33, 69, 24, 0, 0], [1, 5, 0, 53, 199, 51, 245, 295, 12, 76, 23, 0, 0], [1, 5, 1, 45, 226, 2, 294, 274, 5, 89, 17, 1, 0], [1, 5, 1, 46, 220, 16, 280, 274, 19, 75, 23, 0, 0], [1, 5, 2, 40, 234, 2, 280, 288, 5, 81, 22, 0, 0], [2, 0, 0, 90, 141, 8, 448, 84, 80, 104, 0, 2, 1], [2, 0, 0, 90, 142, 1, 469, 49, 115, 83, 7, 1, 1], [2, 0, 0, 91, 135, 22, 434, 84, 94, 90, 6, 1, 1], [2, 0, 0, 91, 136, 15, 455, 49, 129, 69, 13, 0, 1], [2, 0, 0, 91, 138, 2, 490, 0, 164, 62, 6, 5, 0], [2, 0, 0, 92, 128, 43, 399, 119, 73, 97, 5, 1, 1], [2, 0, 0, 92, 129, 36, 420, 84, 108, 76, 12, 0, 1], [2, 0, 0, 92, 131, 23, 455, 35, 143, 69, 5, 5, 0], [2, 0, 0, 92, 132, 16, 476, 0, 178, 48, 12, 4, 0], [2, 0, 0, 93, 121, 64, 364, 154, 52, 104, 4, 1, 1], [2, 0, 0, 93, 122, 57, 385, 119, 87, 83, 11, 0, 1], [2, 0, 0, 93, 124, 44, 420, 70, 122, 76, 4, 5, 0], [2, 0, 0, 93, 125, 37, 441, 35, 157, 55, 11, 4, 0], [2, 0, 0, 93, 126, 30, 462, 0, 192, 34, 18, 3, 0], [2, 0, 0, 94, 114, 85, 329, 189, 31, 111, 3, 1, 1], [2, 0, 0, 94, 115, 78, 350, 154, 66, 90, 10, 0, 1], [2, 0, 0, 94, 117, 65, 385, 105, 101, 83, 3, 5, 0], [2, 0, 0, 94, 118, 58, 406, 70, 136, 62, 10, 4, 0], [2, 0, 0, 94, 119, 51, 427, 35, 171, 41, 17, 3, 0], [2, 0, 0, 94, 120, 44, 448, 0, 206, 20, 24, 2, 0], [2, 0, 0, 95, 107, 106, 294, 224, 10, 118, 2, 1, 1], [2, 0, 0, 95, 108, 99, 315, 189, 45, 97, 9, 0, 1], [2, 0, 0, 95, 110, 86, 350, 140, 80, 90, 2, 5, 0], [2, 0, 0, 95, 111, 79, 371, 105, 115, 69, 9, 4, 0], [2, 0, 0, 95, 112, 72, 392, 70, 150, 48, 16, 3, 0], [2, 0, 0, 95, 113, 65, 413, 35, 185, 27, 23, 2, 0], [2, 0, 0, 95, 114, 58, 434, 0, 220, 6, 30, 1, 0], [2, 0, 0, 96, 101, 120, 280, 224, 24, 104, 8, 0, 1], [2, 0, 0, 96, 103, 107, 315, 175, 59, 97, 1, 5, 0], [2, 0, 0, 96, 104, 100, 336, 140, 94, 76, 8, 4, 0], [2, 0, 0, 96, 105, 93, 357, 105, 129, 55, 15, 3, 0], [2, 0, 0, 96, 106, 86, 378, 70, 164, 34, 22, 2, 0], [2, 0, 0, 96, 107, 79, 399, 35, 199, 13, 29, 1, 0], [2, 0, 0, 97, 94, 141, 245, 259, 3, 111, 7, 0, 1], [2, 0, 0, 97, 96, 128, 280, 210, 38, 104, 0, 5, 0], [2, 0, 0, 97, 97, 121, 301, 175, 73, 83, 7, 4, 0], [2, 0, 0, 97, 98, 114, 322, 140, 108, 62, 14, 3, 0], [2, 0, 0, 97, 99, 107, 343, 105, 143, 41, 21, 2, 0], [2, 0, 0, 97, 100, 100, 364, 70, 178, 20, 28, 1, 0], [2, 0, 0, 98, 90, 142, 266, 210, 52, 90, 6, 4, 0], [2, 0, 0, 98, 91, 135, 287, 175, 87, 69, 13, 3, 0], [2, 0, 0, 98, 92, 128, 308, 140, 122, 48, 20, 2, 0], [2, 0, 0, 98, 93, 121, 329, 105, 157, 27, 27, 1, 0], [2, 0, 0, 98, 94, 114, 350, 70, 192, 6, 34, 0, 0], [2, 0, 0, 99, 83, 163, 231, 245, 31, 97, 5, 4, 0], [2, 0, 0, 99, 84, 156, 252, 210, 66, 76, 12, 3, 0], [2, 0, 0, 99, 85, 149, 273, 175, 101, 55, 19, 2, 0], [2, 0, 0, 99, 86, 142, 294, 140, 136, 34, 26, 1, 0], [2, 0, 0, 99, 87, 135, 315, 105, 171, 13, 33, 0, 0], [2, 0, 0, 100, 76, 184, 196, 280, 10, 104, 4, 4, 0], [2, 0, 0, 100, 77, 177, 217, 245, 45, 83, 11, 3, 0], [2, 0, 0, 100, 78, 170, 238, 210, 80, 62, 18, 2, 0], [2, 0, 0, 100, 79, 163, 259, 175, 115, 41, 25, 1, 0], [2, 0, 0, 100, 80, 156, 280, 140, 150, 20, 32, 0, 0], [2, 0, 0, 101, 70, 198, 182, 280, 24, 90, 10, 3, 0], [2, 0, 0, 101, 71, 191, 203, 245, 59, 69, 17, 2, 0], [2, 0, 0, 101, 72, 184, 224, 210, 94, 48, 24, 1, 0], [2, 0, 0, 101, 73, 177, 245, 175, 129, 27, 31, 0, 0], [2, 0, 0, 102, 63, 219, 147, 315, 3, 97, 9, 3, 0], [2, 0, 0, 102, 64, 212, 168, 280, 38, 76, 16, 2, 0], [2, 0, 0, 102, 65, 205, 189, 245, 73, 55, 23, 1, 0], [2, 0, 0, 102, 66, 198, 210, 210, 108, 34, 30, 0, 0], [2, 0, 0, 103, 57, 233, 133, 315, 17, 83, 15, 2, 0], [2, 0, 0, 103, 58, 226, 154, 280, 52, 62, 22, 1, 0], [2, 0, 0, 103, 59, 219, 175, 245, 87, 41, 29, 0, 0], [2, 0, 0, 104, 51, 247, 119, 315, 31, 69, 21, 1, 0], [2, 0, 0, 104, 52, 240, 140, 280, 66, 48, 28, 0, 0], [2, 0, 0, 105, 44, 268, 84, 350, 10, 76, 20, 1, 0], [2, 0, 0, 105, 45, 261, 105, 315, 45, 55, 27, 0, 0], [2, 0, 0, 106, 38, 282, 70, 350, 24, 62, 26, 0, 0], [2, 0, 0, 107, 31, 303, 35, 385, 3, 69, 25, 0, 0], [2, 0, 1, 85, 149, 8, 434, 98, 80, 96, 5, 1, 1], [2, 0, 1, 85, 150, 1, 455, 63, 115, 75, 12, 0, 1], [2, 0, 1, 86, 142, 29, 399, 133, 59, 103, 4, 1, 1], [2, 0, 1, 86, 143, 22, 420, 98, 94, 82, 11, 0, 1], [2, 0, 1, 86, 145, 9, 455, 49, 129, 75, 4, 5, 0], [2, 0, 1, 86, 146, 2, 476, 14, 164, 54, 11, 4, 0], [2, 0, 1, 87, 135, 50, 364, 168, 38, 110, 3, 1, 1], [2, 0, 1, 87, 136, 43, 385, 133, 73, 89, 10, 0, 1], [2, 0, 1, 87, 138, 30, 420, 84, 108, 82, 3, 5, 0], [2, 0, 1, 87, 139, 23, 441, 49, 143, 61, 10, 4, 0], [2, 0, 1, 87, 140, 16, 462, 14, 178, 40, 17, 3, 0], [2, 0, 1, 88, 128, 71, 329, 203, 17, 117, 2, 1, 1], [2, 0, 1, 88, 129, 64, 350, 168, 52, 96, 9, 0, 1], [2, 0, 1, 88, 131, 51, 385, 119, 87, 89, 2, 5, 0], [2, 0, 1, 88, 132, 44, 406, 84, 122, 68, 9, 4, 0], [2, 0, 1, 88, 133, 37, 427, 49, 157, 47, 16, 3, 0], [2, 0, 1, 88, 134, 30, 448, 14, 192, 26, 23, 2, 0], [2, 0, 1, 89, 122, 85, 315, 203, 31, 103, 8, 0, 1], [2, 0, 1, 89, 124, 72, 350, 154, 66, 96, 1, 5, 0], [2, 0, 1, 89, 125, 65, 371, 119, 101, 75, 8, 4, 0], [2, 0, 1, 89, 126, 58, 392, 84, 136, 54, 15, 3, 0], [2, 0, 1, 89, 127, 51, 413, 49, 171, 33, 22, 2, 0], [2, 0, 1, 89, 128, 44, 434, 14, 206, 12, 29, 1, 0], [2, 0, 1, 90, 115, 106, 280, 238, 10, 110, 7, 0, 1], [2, 0, 1, 90, 117, 93, 315, 189, 45, 103, 0, 5, 0], [2, 0, 1, 90, 118, 86, 336, 154, 80, 82, 7, 4, 0], [2, 0, 1, 90, 119, 79, 357, 119, 115, 61, 14, 3, 0], [2, 0, 1, 90, 120, 72, 378, 84, 150, 40, 21, 2, 0], [2, 0, 1, 90, 121, 65, 399, 49, 185, 19, 28, 1, 0], [2, 0, 1, 91, 111, 107, 301, 189, 59, 89, 6, 4, 0], [2, 0, 1, 91, 112, 100, 322, 154, 94, 68, 13, 3, 0], [2, 0, 1, 91, 113, 93, 343, 119, 129, 47, 20, 2, 0], [2, 0, 1, 91, 114, 86, 364, 84, 164, 26, 27, 1, 0], [2, 0, 1, 91, 115, 79, 385, 49, 199, 5, 34, 0, 0], [2, 0, 1, 92, 104, 128, 266, 224, 38, 96, 5, 4, 0], [2, 0, 1, 92, 105, 121, 287, 189, 73, 75, 12, 3, 0], [2, 0, 1, 92, 106, 114, 308, 154, 108, 54, 19, 2, 0], [2, 0, 1, 92, 107, 107, 329, 119, 143, 33, 26, 1, 0], [2, 0, 1, 92, 108, 100, 350, 84, 178, 12, 33, 0, 0], [2, 0, 1, 93, 97, 149, 231, 259, 17, 103, 4, 4, 0], [2, 0, 1, 93, 98, 142, 252, 224, 52, 82, 11, 3, 0], [2, 0, 1, 93, 99, 135, 273, 189, 87, 61, 18, 2, 0], [2, 0, 1, 93, 100, 128, 294, 154, 122, 40, 25, 1, 0], [2, 0, 1, 93, 101, 121, 315, 119, 157, 19, 32, 0, 0], [2, 0, 1, 94, 91, 163, 217, 259, 31, 89, 10, 3, 0], [2, 0, 1, 94, 92, 156, 238, 224, 66, 68, 17, 2, 0], [2, 0, 1, 94, 93, 149, 259, 189, 101, 47, 24, 1, 0], [2, 0, 1, 94, 94, 142, 280, 154, 136, 26, 31, 0, 0], [2, 0, 1, 95, 84, 184, 182, 294, 10, 96, 9, 3, 0], [2, 0, 1, 95, 85, 177, 203, 259, 45, 75, 16, 2, 0], [2, 0, 1, 95, 86, 170, 224, 224, 80, 54, 23, 1, 0], [2, 0, 1, 95, 87, 163, 245, 189, 115, 33, 30, 0, 0], [2, 0, 1, 96, 78, 198, 168, 294, 24, 82, 15, 2, 0], [2, 0, 1, 96, 79, 191, 189, 259, 59, 61, 22, 1, 0], [2, 0, 1, 96, 80, 184, 210, 224, 94, 40, 29, 0, 0], [2, 0, 1, 97, 71, 219, 133, 329, 3, 89, 14, 2, 0], [2, 0, 1, 97, 72, 212, 154, 294, 38, 68, 21, 1, 0], [2, 0, 1, 97, 73, 205, 175, 259, 73, 47, 28, 0, 0], [2, 0, 1, 98, 65, 233, 119, 329, 17, 75, 20, 1, 0], [2, 0, 1, 98, 66, 226, 140, 294, 52, 54, 27, 0, 0], [2, 0, 1, 99, 59, 247, 105, 329, 31, 61, 26, 0, 0], [2, 0, 1, 100, 52, 268, 70, 364, 10, 68, 25, 0, 0], [2, 0, 2, 80, 156, 15, 399, 147, 45, 109, 3, 1, 1], [2, 0, 2, 80, 157, 8, 420, 112, 80, 88, 10, 0, 1], [2, 0, 2, 81, 149, 36, 364, 182, 24, 116, 2, 1, 1], [2, 0, 2, 81, 150, 29, 385, 147, 59, 95, 9, 0, 1], [2, 0, 2, 81, 152, 16, 420, 98, 94, 88, 2, 5, 0], [2, 0, 2, 81, 153, 9, 441, 63, 129, 67, 9, 4, 0], [2, 0, 2, 81, 154, 2, 462, 28, 164, 46, 16, 3, 0], [2, 0, 2, 82, 142, 57, 329, 217, 3, 123, 1, 1, 1], [2, 0, 2, 82, 143, 50, 350, 182, 38, 102, 8, 0, 1], [2, 0, 2, 82, 145, 37, 385, 133, 73, 95, 1, 5, 0], [2, 0, 2, 82, 146, 30, 406, 98, 108, 74, 8, 4, 0], [2, 0, 2, 82, 147, 23, 427, 63, 143, 53, 15, 3, 0], [2, 0, 2, 82, 148, 16, 448, 28, 178, 32, 22, 2, 0], [2, 0, 2, 83, 136, 71, 315, 217, 17, 109, 7, 0, 1], [2, 0, 2, 83, 138, 58, 350, 168, 52, 102, 0, 5, 0], [2, 0, 2, 83, 139, 51, 371, 133, 87, 81, 7, 4, 0], [2, 0, 2, 83, 140, 44, 392, 98, 122, 60, 14, 3, 0], [2, 0, 2, 83, 141, 37, 413, 63, 157, 39, 21, 2, 0], [2, 0, 2, 83, 142, 30, 434, 28, 192, 18, 28, 1, 0], [2, 0, 2, 84, 132, 72, 336, 168, 66, 88, 6, 4, 0], [2, 0, 2, 84, 133, 65, 357, 133, 101, 67, 13, 3, 0], [2, 0, 2, 84, 134, 58, 378, 98, 136, 46, 20, 2, 0], [2, 0, 2, 84, 135, 51, 399, 63, 171, 25, 27, 1, 0], [2, 0, 2, 84, 136, 44, 420, 28, 206, 4, 34, 0, 0], [2, 0, 2, 85, 125, 93, 301, 203, 45, 95, 5, 4, 0], [2, 0, 2, 85, 126, 86, 322, 168, 80, 74, 12, 3, 0], [2, 0, 2, 85, 127, 79, 343, 133, 115, 53, 19, 2, 0], [2, 0, 2, 85, 128, 72, 364, 98, 150, 32, 26, 1, 0], [2, 0, 2, 85, 129, 65, 385, 63, 185, 11, 33, 0, 0], [2, 0, 2, 86, 118, 114, 266, 238, 24, 102, 4, 4, 0], [2, 0, 2, 86, 119, 107, 287, 203, 59, 81, 11, 3, 0], [2, 0, 2, 86, 120, 100, 308, 168, 94, 60, 18, 2, 0], [2, 0, 2, 86, 121, 93, 329, 133, 129, 39, 25, 1, 0], [2, 0, 2, 86, 122, 86, 350, 98, 164, 18, 32, 0, 0], [2, 0, 2, 87, 111, 135, 231, 273, 3, 109, 3, 4, 0], [2, 0, 2, 87, 112, 128, 252, 238, 38, 88, 10, 3, 0], [2, 0, 2, 87, 113, 121, 273, 203, 73, 67, 17, 2, 0], [2, 0, 2, 87, 114, 114, 294, 168, 108, 46, 24, 1, 0], [2, 0, 2, 87, 115, 107, 315, 133, 143, 25, 31, 0, 0], [2, 0, 2, 88, 105, 149, 217, 273, 17, 95, 9, 3, 0], [2, 0, 2, 88, 106, 142, 238, 238, 52, 74, 16, 2, 0], [2, 0, 2, 88, 107, 135, 259, 203, 87, 53, 23, 1, 0], [2, 0, 2, 88, 108, 128, 280, 168, 122, 32, 30, 0, 0], [2, 0, 2, 89, 99, 163, 203, 273, 31, 81, 15, 2, 0], [2, 0, 2, 89, 100, 156, 224, 238, 66, 60, 22, 1, 0], [2, 0, 2, 89, 101, 149, 245, 203, 101, 39, 29, 0, 0], [2, 0, 2, 90, 92, 184, 168, 308, 10, 88, 14, 2, 0], [2, 0, 2, 90, 93, 177, 189, 273, 45, 67, 21, 1, 0], [2, 0, 2, 90, 94, 170, 210, 238, 80, 46, 28, 0, 0], [2, 0, 2, 91, 86, 198, 154, 308, 24, 74, 20, 1, 0], [2, 0, 2, 91, 87, 191, 175, 273, 59, 53, 27, 0, 0], [2, 0, 2, 92, 79, 219, 119, 343, 3, 81, 19, 1, 0], [2, 0, 2, 92, 80, 212, 140, 308, 38, 60, 26, 0, 0], [2, 0, 2, 93, 73, 233, 105, 343, 17, 67, 25, 0, 0], [2, 0, 3, 74, 170, 1, 399, 161, 31, 115, 2, 1, 1], [2, 0, 3, 75, 163, 22, 364, 196, 10, 122, 1, 1, 1], [2, 0, 3, 75, 164, 15, 385, 161, 45, 101, 8, 0, 1], [2, 0, 3, 75, 166, 2, 420, 112, 80, 94, 1, 5, 0], [2, 0, 3, 76, 157, 36, 350, 196, 24, 108, 7, 0, 1], [2, 0, 3, 76, 159, 23, 385, 147, 59, 101, 0, 5, 0], [2, 0, 3, 76, 160, 16, 406, 112, 94, 80, 7, 4, 0], [2, 0, 3, 76, 161, 9, 427, 77, 129, 59, 14, 3, 0], [2, 0, 3, 76, 162, 2, 448, 42, 164, 38, 21, 2, 0], [2, 0, 3, 77, 150, 57, 315, 231, 3, 115, 6, 0, 1], [2, 0, 3, 77, 153, 37, 371, 147, 73, 87, 6, 4, 0], [2, 0, 3, 77, 154, 30, 392, 112, 108, 66, 13, 3, 0], [2, 0, 3, 77, 155, 23, 413, 77, 143, 45, 20, 2, 0], [2, 0, 3, 77, 156, 16, 434, 42, 178, 24, 27, 1, 0], [2, 0, 3, 77, 157, 9, 455, 7, 213, 3, 34, 0, 0], [2, 0, 3, 78, 146, 58, 336, 182, 52, 94, 5, 4, 0], [2, 0, 3, 78, 147, 51, 357, 147, 87, 73, 12, 3, 0], [2, 0, 3, 78, 148, 44, 378, 112, 122, 52, 19, 2, 0], [2, 0, 3, 78, 149, 37, 399, 77, 157, 31, 26, 1, 0], [2, 0, 3, 78, 150, 30, 420, 42, 192, 10, 33, 0, 0], [2, 0, 3, 79, 139, 79, 301, 217, 31, 101, 4, 4, 0], [2, 0, 3, 79, 140, 72, 322, 182, 66, 80, 11, 3, 0], [2, 0, 3, 79, 141, 65, 343, 147, 101, 59, 18, 2, 0], [2, 0, 3, 79, 142, 58, 364, 112, 136, 38, 25, 1, 0], [2, 0, 3, 79, 143, 51, 385, 77, 171, 17, 32, 0, 0], [2, 0, 3, 80, 132, 100, 266, 252, 10, 108, 3, 4, 0], [2, 0, 3, 80, 133, 93, 287, 217, 45, 87, 10, 3, 0], [2, 0, 3, 80, 134, 86, 308, 182, 80, 66, 17, 2, 0], [2, 0, 3, 80, 135, 79, 329, 147, 115, 45, 24, 1, 0], [2, 0, 3, 80, 136, 72, 350, 112, 150, 24, 31, 0, 0], [2, 0, 3, 81, 126, 114, 252, 252, 24, 94, 9, 3, 0], [2, 0, 3, 81, 127, 107, 273, 217, 59, 73, 16, 2, 0], [2, 0, 3, 81, 128, 100, 294, 182, 94, 52, 23, 1, 0], [2, 0, 3, 81, 129, 93, 315, 147, 129, 31, 30, 0, 0], [2, 0, 3, 82, 119, 135, 217, 287, 3, 101, 8, 3, 0], [2, 0, 3, 82, 120, 128, 238, 252, 38, 80, 15, 2, 0], [2, 0, 3, 82, 121, 121, 259, 217, 73, 59, 22, 1, 0], [2, 0, 3, 82, 122, 114, 280, 182, 108, 38, 29, 0, 0], [2, 0, 3, 83, 113, 149, 203, 287, 17, 87, 14, 2, 0], [2, 0, 3, 83, 114, 142, 224, 252, 52, 66, 21, 1, 0], [2, 0, 3, 83, 115, 135, 245, 217, 87, 45, 28, 0, 0], [2, 0, 3, 84, 107, 163, 189, 287, 31, 73, 20, 1, 0], [2, 0, 3, 84, 108, 156, 210, 252, 66, 52, 27, 0, 0], [2, 0, 3, 85, 100, 184, 154, 322, 10, 80, 19, 1, 0], [2, 0, 3, 85, 101, 177, 175, 287, 45, 59, 26, 0, 0], [2, 0, 3, 86, 94, 198, 140, 322, 24, 66, 25, 0, 0], [2, 0, 3, 87, 87, 219, 105, 357, 3, 73, 24, 0, 0], [2, 0, 4, 69, 178, 1, 385, 175, 31, 107, 7, 0, 1], [2, 0, 4, 70, 171, 22, 350, 210, 10, 114, 6, 0, 1], [2, 0, 4, 70, 174, 2, 406, 126, 80, 86, 6, 4, 0], [2, 0, 4, 71, 167, 23, 371, 161, 59, 93, 5, 4, 0], [2, 0, 4, 71, 168, 16, 392, 126, 94, 72, 12, 3, 0], [2, 0, 4, 71, 169, 9, 413, 91, 129, 51, 19, 2, 0], [2, 0, 4, 71, 170, 2, 434, 56, 164, 30, 26, 1, 0], [2, 0, 4, 72, 160, 44, 336, 196, 38, 100, 4, 4, 0], [2, 0, 4, 72, 161, 37, 357, 161, 73, 79, 11, 3, 0], [2, 0, 4, 72, 162, 30, 378, 126, 108, 58, 18, 2, 0], [2, 0, 4, 72, 163, 23, 399, 91, 143, 37, 25, 1, 0], [2, 0, 4, 72, 164, 16, 420, 56, 178, 16, 32, 0, 0], [2, 0, 4, 73, 153, 65, 301, 231, 17, 107, 3, 4, 0], [2, 0, 4, 73, 154, 58, 322, 196, 52, 86, 10, 3, 0], [2, 0, 4, 73, 155, 51, 343, 161, 87, 65, 17, 2, 0], [2, 0, 4, 73, 156, 44, 364, 126, 122, 44, 24, 1, 0], [2, 0, 4, 73, 157, 37, 385, 91, 157, 23, 31, 0, 0], [2, 0, 4, 74, 147, 79, 287, 231, 31, 93, 9, 3, 0], [2, 0, 4, 74, 148, 72, 308, 196, 66, 72, 16, 2, 0], [2, 0, 4, 74, 149, 65, 329, 161, 101, 51, 23, 1, 0], [2, 0, 4, 74, 150, 58, 350, 126, 136, 30, 30, 0, 0], [2, 0, 4, 75, 140, 100, 252, 266, 10, 100, 8, 3, 0], [2, 0, 4, 75, 141, 93, 273, 231, 45, 79, 15, 2, 0], [2, 0, 4, 75, 142, 86, 294, 196, 80, 58, 22, 1, 0], [2, 0, 4, 75, 143, 79, 315, 161, 115, 37, 29, 0, 0], [2, 0, 4, 76, 134, 114, 238, 266, 24, 86, 14, 2, 0], [2, 0, 4, 76, 135, 107, 259, 231, 59, 65, 21, 1, 0], [2, 0, 4, 76, 136, 100, 280, 196, 94, 44, 28, 0, 0], [2, 0, 4, 77, 127, 135, 203, 301, 3, 93, 13, 2, 0], [2, 0, 4, 77, 128, 128, 224, 266, 38, 72, 20, 1, 0], [2, 0, 4, 77, 129, 121, 245, 231, 73, 51, 27, 0, 0], [2, 0, 4, 78, 121, 149, 189, 301, 17, 79, 19, 1, 0], [2, 0, 4, 78, 122, 142, 210, 266, 52, 58, 26, 0, 0], [2, 0, 4, 79, 115, 163, 175, 301, 31, 65, 25, 0, 0], [2, 0, 4, 80, 108, 184, 140, 336, 10, 72, 24, 0, 0], [2, 0, 5, 65, 181, 9, 371, 175, 45, 99, 4, 4, 0], [2, 0, 5, 65, 182, 2, 392, 140, 80, 78, 11, 3, 0], [2, 0, 5, 66, 174, 30, 336, 210, 24, 106, 3, 4, 0], [2, 0, 5, 66, 175, 23, 357, 175, 59, 85, 10, 3, 0], [2, 0, 5, 66, 176, 16, 378, 140, 94, 64, 17, 2, 0], [2, 0, 5, 66, 177, 9, 399, 105, 129, 43, 24, 1, 0], [2, 0, 5, 66, 178, 2, 420, 70, 164, 22, 31, 0, 0], [2, 0, 5, 67, 167, 51, 301, 245, 3, 113, 2, 4, 0], [2, 0, 5, 67, 168, 44, 322, 210, 38, 92, 9, 3, 0], [2, 0, 5, 67, 169, 37, 343, 175, 73, 71, 16, 2, 0], [2, 0, 5, 67, 170, 30, 364, 140, 108, 50, 23, 1, 0], [2, 0, 5, 67, 171, 23, 385, 105, 143, 29, 30, 0, 0], [2, 0, 5, 68, 161, 65, 287, 245, 17, 99, 8, 3, 0], [2, 0, 5, 68, 162, 58, 308, 210, 52, 78, 15, 2, 0], [2, 0, 5, 68, 163, 51, 329, 175, 87, 57, 22, 1, 0], [2, 0, 5, 68, 164, 44, 350, 140, 122, 36, 29, 0, 0], [2, 0, 5, 69, 155, 79, 273, 245, 31, 85, 14, 2, 0], [2, 0, 5, 69, 156, 72, 294, 210, 66, 64, 21, 1, 0], [2, 0, 5, 69, 157, 65, 315, 175, 101, 43, 28, 0, 0], [2, 0, 5, 70, 148, 100, 238, 280, 10, 92, 13, 2, 0], [2, 0, 5, 70, 149, 93, 259, 245, 45, 71, 20, 1, 0], [2, 0, 5, 70, 150, 86, 280, 210, 80, 50, 27, 0, 0], [2, 0, 5, 71, 142, 114, 224, 280, 24, 78, 19, 1, 0], [2, 0, 5, 71, 143, 107, 245, 245, 59, 57, 26, 0, 0], [2, 0, 5, 72, 135, 135, 189, 315, 3, 85, 18, 1, 0], [2, 0, 5, 72, 136, 128, 210, 280, 38, 64, 25, 0, 0], [2, 0, 5, 73, 129, 149, 175, 315, 17, 71, 24, 0, 0], [2, 0, 6, 60, 188, 16, 336, 224, 10, 112, 2, 4, 0], [2, 0, 6, 60, 189, 9, 357, 189, 45, 91, 9, 3, 0], [2, 0, 6, 60, 190, 2, 378, 154, 80, 70, 16, 2, 0], [2, 0, 6, 61, 182, 30, 322, 224, 24, 98, 8, 3, 0], [2, 0, 6, 61, 183, 23, 343, 189, 59, 77, 15, 2, 0], [2, 0, 6, 61, 184, 16, 364, 154, 94, 56, 22, 1, 0], [2, 0, 6, 61, 185, 9, 385, 119, 129, 35, 29, 0, 0], [2, 0, 6, 62, 175, 51, 287, 259, 3, 105, 7, 3, 0], [2, 0, 6, 62, 176, 44, 308, 224, 38, 84, 14, 2, 0], [2, 0, 6, 62, 177, 37, 329, 189, 73, 63, 21, 1, 0], [2, 0, 6, 62, 178, 30, 350, 154, 108, 42, 28, 0, 0], [2, 0, 6, 63, 169, 65, 273, 259, 17, 91, 13, 2, 0], [2, 0, 6, 63, 170, 58, 294, 224, 52, 70, 20, 1, 0], [2, 0, 6, 63, 171, 51, 315, 189, 87, 49, 27, 0, 0], [2, 0, 6, 64, 163, 79, 259, 259, 31, 77, 19, 1, 0], [2, 0, 6, 64, 164, 72, 280, 224, 66, 56, 26, 0, 0], [2, 0, 6, 65, 156, 100, 224, 294, 10, 84, 18, 1, 0], [2, 0, 6, 65, 157, 93, 245, 259, 45, 63, 25, 0, 0], [2, 0, 6, 66, 150, 114, 210, 294, 24, 70, 24, 0, 0], [2, 0, 6, 67, 143, 135, 175, 329, 3, 77, 23, 0, 0], [2, 0, 7, 55, 196, 16, 322, 238, 10, 104, 7, 3, 0], [2, 0, 7, 55, 197, 9, 343, 203, 45, 83, 14, 2, 0], [2, 0, 7, 55, 198, 2, 364, 168, 80, 62, 21, 1, 0], [2, 0, 7, 56, 190, 30, 308, 238, 24, 90, 13, 2, 0], [2, 0, 7, 56, 191, 23, 329, 203, 59, 69, 20, 1, 0], [2, 0, 7, 56, 192, 16, 350, 168, 94, 48, 27, 0, 0], [2, 0, 7, 57, 183, 51, 273, 273, 3, 97, 12, 2, 0], [2, 0, 7, 57, 184, 44, 294, 238, 38, 76, 19, 1, 0], [2, 0, 7, 57, 185, 37, 315, 203, 73, 55, 26, 0, 0], [2, 0, 7, 58, 177, 65, 259, 273, 17, 83, 18, 1, 0], [2, 0, 7, 58, 178, 58, 280, 238, 52, 62, 25, 0, 0], [2, 0, 7, 59, 171, 79, 245, 273, 31, 69, 24, 0, 0], [2, 0, 7, 60, 164, 100, 210, 308, 10, 76, 23, 0, 0], [2, 0, 8, 50, 204, 16, 308, 252, 10, 96, 12, 2, 0], [2, 0, 8, 50, 205, 9, 329, 217, 45, 75, 19, 1, 0], [2, 0, 8, 50, 206, 2, 350, 182, 80, 54, 26, 0, 0], [2, 0, 8, 51, 198, 30, 294, 252, 24, 82, 18, 1, 0], [2, 0, 8, 51, 199, 23, 315, 217, 59, 61, 25, 0, 0], [2, 0, 8, 52, 191, 51, 259, 287, 3, 89, 17, 1, 0], [2, 0, 8, 52, 192, 44, 280, 252, 38, 68, 24, 0, 0], [2, 0, 8, 53, 185, 65, 245, 287, 17, 75, 23, 0, 0], [2, 0, 9, 45, 212, 16, 294, 266, 10, 88, 17, 1, 0], [2, 0, 9, 45, 213, 9, 315, 231, 45, 67, 24, 0, 0], [2, 0, 9, 46, 206, 30, 280, 266, 24, 74, 23, 0, 0], [2, 0, 9, 47, 199, 51, 245, 301, 3, 81, 22, 0, 0], [2, 0, 10, 40, 220, 16, 280, 280, 10, 80, 22, 0, 0], [2, 1, 0, 74, 174, 16, 350, 210, 16, 111, 2, 4, 0], [2, 1, 0, 74, 175, 9, 371, 175, 51, 90, 9, 3, 0], [2, 1, 0, 74, 176, 2, 392, 140, 86, 69, 16, 2, 0], [2, 1, 0, 75, 168, 30, 336, 210, 30, 97, 8, 3, 0], [2, 1, 0, 75, 169, 23, 357, 175, 65, 76, 15, 2, 0], [2, 1, 0, 75, 170, 16, 378, 140, 100, 55, 22, 1, 0], [2, 1, 0, 75, 171, 9, 399, 105, 135, 34, 29, 0, 0], [2, 1, 0, 76, 161, 51, 301, 245, 9, 104, 7, 3, 0], [2, 1, 0, 76, 162, 44, 322, 210, 44, 83, 14, 2, 0], [2, 1, 0, 76, 163, 37, 343, 175, 79, 62, 21, 1, 0], [2, 1, 0, 76, 164, 30, 364, 140, 114, 41, 28, 0, 0], [2, 1, 0, 77, 155, 65, 287, 245, 23, 90, 13, 2, 0], [2, 1, 0, 77, 156, 58, 308, 210, 58, 69, 20, 1, 0], [2, 1, 0, 77, 157, 51, 329, 175, 93, 48, 27, 0, 0], [2, 1, 0, 78, 148, 86, 252, 280, 2, 97, 12, 2, 0], [2, 1, 0, 78, 149, 79, 273, 245, 37, 76, 19, 1, 0], [2, 1, 0, 78, 150, 72, 294, 210, 72, 55, 26, 0, 0], [2, 1, 0, 79, 142, 100, 238, 280, 16, 83, 18, 1, 0], [2, 1, 0, 79, 143, 93, 259, 245, 51, 62, 25, 0, 0], [2, 1, 0, 80, 136, 114, 224, 280, 30, 69, 24, 0, 0], [2, 1, 0, 81, 129, 135, 189, 315, 9, 76, 23, 0, 0], [2, 1, 1, 68, 188, 2, 350, 224, 2, 117, 1, 4, 0], [2, 1, 1, 69, 182, 16, 336, 224, 16, 103, 7, 3, 0], [2, 1, 1, 69, 183, 9, 357, 189, 51, 82, 14, 2, 0], [2, 1, 1, 69, 184, 2, 378, 154, 86, 61, 21, 1, 0], [2, 1, 1, 70, 176, 30, 322, 224, 30, 89, 13, 2, 0], [2, 1, 1, 70, 177, 23, 343, 189, 65, 68, 20, 1, 0], [2, 1, 1, 70, 178, 16, 364, 154, 100, 47, 27, 0, 0], [2, 1, 1, 71, 169, 51, 287, 259, 9, 96, 12, 2, 0], [2, 1, 1, 71, 170, 44, 308, 224, 44, 75, 19, 1, 0], [2, 1, 1, 71, 171, 37, 329, 189, 79, 54, 26, 0, 0], [2, 1, 1, 72, 163, 65, 273, 259, 23, 82, 18, 1, 0], [2, 1, 1, 72, 164, 58, 294, 224, 58, 61, 25, 0, 0], [2, 1, 1, 73, 156, 86, 238, 294, 2, 89, 17, 1, 0], [2, 1, 1, 73, 157, 79, 259, 259, 37, 68, 24, 0, 0], [2, 1, 1, 74, 150, 100, 224, 294, 16, 75, 23, 0, 0], [2, 1, 2, 63, 196, 2, 336, 238, 2, 109, 6, 3, 0], [2, 1, 2, 64, 190, 16, 322, 238, 16, 95, 12, 2, 0], [2, 1, 2, 64, 191, 9, 343, 203, 51, 74, 19, 1, 0], [2, 1, 2, 64, 192, 2, 364, 168, 86, 53, 26, 0, 0], [2, 1, 2, 65, 184, 30, 308, 238, 30, 81, 18, 1, 0], [2, 1, 2, 65, 185, 23, 329, 203, 65, 60, 25, 0, 0], [2, 1, 2, 66, 177, 51, 273, 273, 9, 88, 17, 1, 0], [2, 1, 2, 66, 178, 44, 294, 238, 44, 67, 24, 0, 0], [2, 1, 2, 67, 171, 65, 259, 273, 23, 74, 23, 0, 0], [2, 1, 2, 68, 164, 86, 224, 308, 2, 81, 22, 0, 0], [2, 1, 3, 58, 204, 2, 322, 252, 2, 101, 11, 2, 0], [2, 1, 3, 59, 198, 16, 308, 252, 16, 87, 17, 1, 0], [2, 1, 3, 59, 199, 9, 329, 217, 51, 66, 24, 0, 0], [2, 1, 3, 60, 192, 30, 294, 252, 30, 73, 23, 0, 0], [2, 1, 3, 61, 185, 51, 259, 287, 9, 80, 22, 0, 0], [2, 1, 4, 53, 212, 2, 308, 266, 2, 93, 16, 1, 0], [2, 1, 4, 54, 206, 16, 294, 266, 16, 79, 22, 0, 0], [2, 1, 5, 48, 220, 2, 294, 280, 2, 85, 21, 0, 0]}