-------
(12, 1920, 7) ALL distance distributions for INTERNAL point
(7, 1920, 7) has 1 possible DDs: {[15, 105, 315, 525, 525, 315, 105, 15]}
(8, 1920, 7) has 15 possible DDs: {[1, 112, 28, 784, 70, 784, 28, 112, 1], [2, 104, 56, 728, 140, 728, 56, 104, 2], [3, 96, 84, 672, 210, 672, 84, 96, 3], [4, 88, 112, 616, 280, 616, 112, 88, 4], [5, 80, 140, 560, 350, 560, 140, 80, 5], [6, 72, 168, 504, 420, 504, 168, 72, 6], [7, 64, 196, 448, 490, 448, 196, 64, 7], [8, 56, 224, 392, 560, 392, 224, 56, 8], [9, 48, 252, 336, 630, 336, 252, 48, 9], [10, 40, 280, 280, 700, 280, 280, 40, 10], [11, 32, 308, 224, 770, 224, 308, 32, 11], [12, 24, 336, 168, 840, 168, 336, 24, 12], [13, 16, 364, 112, 910, 112, 364, 16, 13], [14, 8, 392, 56, 980, 56, 392, 8, 14], [15, 0, 420, 0, 1050, 0, 420, 0, 15]}
(9, 1920, 7) has 65 possible DDs: {[1, 52, 88, 364, 490, 364, 448, 52, 61, 0], [1, 53, 80, 392, 434, 434, 392, 80, 53, 1], [1, 54, 72, 420, 378, 504, 336, 108, 45, 2], [1, 55, 64, 448, 322, 574, 280, 136, 37, 3], [1, 56, 56, 476, 266, 644, 224, 164, 29, 4], [1, 57, 48, 504, 210, 714, 168, 192, 21, 5], [1, 58, 40, 532, 154, 784, 112, 220, 13, 6], [1, 59, 32, 560, 98, 854, 56, 248, 5, 7], [2, 44, 116, 308, 560, 308, 476, 44, 62, 0], [2, 45, 108, 336, 504, 378, 420, 72, 54, 1], [2, 46, 100, 364, 448, 448, 364, 100, 46, 2], [2, 47, 92, 392, 392, 518, 308, 128, 38, 3], [2, 48, 84, 420, 336, 588, 252, 156, 30, 4], [2, 49, 76, 448, 280, 658, 196, 184, 22, 5], [2, 50, 68, 476, 224, 728, 140, 212, 14, 6], [2, 51, 60, 504, 168, 798, 84, 240, 6, 7], [3, 36, 144, 252, 630, 252, 504, 36, 63, 0], [3, 37, 136, 280, 574, 322, 448, 64, 55, 1], [3, 38, 128, 308, 518, 392, 392, 92, 47, 2], [3, 39, 120, 336, 462, 462, 336, 120, 39, 3], [3, 40, 112, 364, 406, 532, 280, 148, 31, 4], [3, 41, 104, 392, 350, 602, 224, 176, 23, 5], [3, 42, 96, 420, 294, 672, 168, 204, 15, 6], [3, 43, 88, 448, 238, 742, 112, 232, 7, 7], [4, 28, 172, 196, 700, 196, 532, 28, 64, 0], [4, 29, 164, 224, 644, 266, 476, 56, 56, 1], [4, 30, 156, 252, 588, 336, 420, 84, 48, 2], [4, 31, 148, 280, 532, 406, 364, 112, 40, 3], [4, 32, 140, 308, 476, 476, 308, 140, 32, 4], [4, 33, 132, 336, 420, 546, 252, 168, 24, 5], [4, 34, 124, 364, 364, 616, 196, 196, 16, 6], [4, 35, 116, 392, 308, 686, 140, 224, 8, 7], [4, 36, 108, 420, 252, 756, 84, 252, 0, 8], [5, 20, 200, 140, 770, 140, 560, 20, 65, 0], [5, 21, 192, 168, 714, 210, 504, 48, 57, 1], [5, 22, 184, 196, 658, 280, 448, 76, 49, 2], [5, 23, 176, 224, 602, 350, 392, 104, 41, 3], [5, 24, 168, 252, 546, 420, 336, 132, 33, 4], [5, 25, 160, 280, 490, 490, 280, 160, 25, 5], [5, 26, 152, 308, 434, 560, 224, 188, 17, 6], [5, 27, 144, 336, 378, 630, 168, 216, 9, 7], [5, 28, 136, 364, 322, 700, 112, 244, 1, 8], [6, 12, 228, 84, 840, 84, 588, 12, 66, 0], [6, 13, 220, 112, 784, 154, 532, 40, 58, 1], [6, 14, 212, 140, 728, 224, 476, 68, 50, 2], [6, 15, 204, 168, 672, 294, 420, 96, 42, 3], [6, 16, 196, 196, 616, 364, 364, 124, 34, 4], [6, 17, 188, 224, 560, 434, 308, 152, 26, 5], [6, 18, 180, 252, 504, 504, 252, 180, 18, 6], [6, 19, 172, 280, 448, 574, 196, 208, 10, 7], [6, 20, 164, 308, 392, 644, 140, 236, 2, 8], [7, 4, 256, 28, 910, 28, 616, 4, 67, 0], [7, 5, 248, 56, 854, 98, 560, 32, 59, 1], [7, 6, 240, 84, 798, 168, 504, 60, 51, 2], [7, 7, 232, 112, 742, 238, 448, 88, 43, 3], [7, 8, 224, 140, 686, 308, 392, 116, 35, 4], [7, 9, 216, 168, 630, 378, 336, 144, 27, 5], [7, 10, 208, 196, 574, 448, 280, 172, 19, 6], [7, 11, 200, 224, 518, 518, 224, 200, 11, 7], [7, 12, 192, 252, 462, 588, 168, 228, 3, 8], [8, 0, 252, 84, 756, 252, 420, 108, 36, 4], [8, 1, 244, 112, 700, 322, 364, 136, 28, 5], [8, 2, 236, 140, 644, 392, 308, 164, 20, 6], [8, 3, 228, 168, 588, 462, 252, 192, 12, 7], [8, 4, 220, 196, 532, 532, 196, 220, 4, 8]}
(10, 1920, 7) has 279 possible DDs: {[1, 17, 128, 44, 770, 14, 728, 92, 101, 25, 0], [1, 18, 120, 72, 714, 84, 672, 120, 93, 26, 0], [1, 18, 121, 64, 742, 28, 742, 64, 121, 18, 1], [1, 19, 112, 100, 658, 154, 616, 148, 85, 27, 0], [1, 19, 113, 92, 686, 98, 686, 92, 113, 19, 1], [1, 19, 114, 84, 714, 42, 756, 36, 141, 11, 2], [1, 20, 104, 128, 602, 224, 560, 176, 77, 28, 0], [1, 20, 105, 120, 630, 168, 630, 120, 105, 20, 1], [1, 20, 106, 112, 658, 112, 700, 64, 133, 12, 2], [1, 20, 107, 104, 686, 56, 770, 8, 161, 4, 3], [1, 21, 96, 156, 546, 294, 504, 204, 69, 29, 0], [1, 21, 97, 148, 574, 238, 574, 148, 97, 21, 1], [1, 21, 98, 140, 602, 182, 644, 92, 125, 13, 2], [1, 21, 99, 132, 630, 126, 714, 36, 153, 5, 3], [1, 22, 88, 184, 490, 364, 448, 232, 61, 30, 0], [1, 22, 89, 176, 518, 308, 518, 176, 89, 22, 1], [1, 22, 90, 168, 546, 252, 588, 120, 117, 14, 2], [1, 22, 91, 160, 574, 196, 658, 64, 145, 6, 3], [1, 23, 80, 212, 434, 434, 392, 260, 53, 31, 0], [1, 23, 81, 204, 462, 378, 462, 204, 81, 23, 1], [1, 23, 82, 196, 490, 322, 532, 148, 109, 15, 2], [1, 23, 83, 188, 518, 266, 602, 92, 137, 7, 3], [1, 24, 72, 240, 378, 504, 336, 288, 45, 32, 0], [1, 24, 73, 232, 406, 448, 406, 232, 73, 24, 1], [1, 24, 74, 224, 434, 392, 476, 176, 101, 16, 2], [1, 24, 75, 216, 462, 336, 546, 120, 129, 8, 3], [1, 24, 76, 208, 490, 280, 616, 64, 157, 0, 4], [1, 25, 64, 268, 322, 574, 280, 316, 37, 33, 0], [1, 25, 65, 260, 350, 518, 350, 260, 65, 25, 1], [1, 25, 66, 252, 378, 462, 420, 204, 93, 17, 2], [1, 25, 67, 244, 406, 406, 490, 148, 121, 9, 3], [1, 25, 68, 236, 434, 350, 560, 92, 149, 1, 4], [1, 26, 56, 296, 266, 644, 224, 344, 29, 34, 0], [1, 26, 57, 288, 294, 588, 294, 288, 57, 26, 1], [1, 26, 58, 280, 322, 532, 364, 232, 85, 18, 2], [1, 26, 59, 272, 350, 476, 434, 176, 113, 10, 3], [1, 26, 60, 264, 378, 420, 504, 120, 141, 2, 4], [1, 27, 48, 324, 210, 714, 168, 372, 21, 35, 0], [1, 27, 49, 316, 238, 658, 238, 316, 49, 27, 1], [1, 27, 50, 308, 266, 602, 308, 260, 77, 19, 2], [1, 27, 51, 300, 294, 546, 378, 204, 105, 11, 3], [1, 27, 52, 292, 322, 490, 448, 148, 133, 3, 4], [1, 28, 40, 352, 154, 784, 112, 400, 13, 36, 0], [1, 28, 41, 344, 182, 728, 182, 344, 41, 28, 1], [1, 28, 42, 336, 210, 672, 252, 288, 69, 20, 2], [1, 28, 43, 328, 238, 616, 322, 232, 97, 12, 3], [1, 28, 44, 320, 266, 560, 392, 176, 125, 4, 4], [1, 29, 32, 380, 98, 854, 56, 428, 5, 37, 0], [1, 29, 33, 372, 126, 798, 126, 372, 33, 29, 1], [1, 29, 34, 364, 154, 742, 196, 316, 61, 21, 2], [1, 29, 35, 356, 182, 686, 266, 260, 89, 13, 3], [1, 29, 36, 348, 210, 630, 336, 204, 117, 5, 4], [1, 30, 25, 400, 70, 868, 70, 400, 25, 30, 1], [1, 30, 26, 392, 98, 812, 140, 344, 53, 22, 2], [1, 30, 27, 384, 126, 756, 210, 288, 81, 14, 3], [1, 30, 28, 376, 154, 700, 280, 232, 109, 6, 4], [1, 31, 17, 428, 14, 938, 14, 428, 17, 31, 1], [1, 31, 18, 420, 42, 882, 84, 372, 45, 23, 2], [1, 31, 19, 412, 70, 826, 154, 316, 73, 15, 3], [1, 31, 20, 404, 98, 770, 224, 260, 101, 7, 4], [1, 32, 11, 440, 14, 896, 98, 344, 65, 16, 3], [1, 32, 12, 432, 42, 840, 168, 288, 93, 8, 4], [1, 32, 13, 424, 70, 784, 238, 232, 121, 0, 5], [1, 33, 5, 452, 14, 854, 182, 260, 113, 1, 5], [2, 10, 148, 16, 784, 28, 700, 112, 94, 26, 0], [2, 11, 140, 44, 728, 98, 644, 140, 86, 27, 0], [2, 11, 141, 36, 756, 42, 714, 84, 114, 19, 1], [2, 12, 132, 72, 672, 168, 588, 168, 78, 28, 0], [2, 12, 133, 64, 700, 112, 658, 112, 106, 20, 1], [2, 12, 134, 56, 728, 56, 728, 56, 134, 12, 2], [2, 12, 135, 48, 756, 0, 798, 0, 162, 4, 3], [2, 13, 124, 100, 616, 238, 532, 196, 70, 29, 0], [2, 13, 125, 92, 644, 182, 602, 140, 98, 21, 1], [2, 13, 126, 84, 672, 126, 672, 84, 126, 13, 2], [2, 13, 127, 76, 700, 70, 742, 28, 154, 5, 3], [2, 14, 116, 128, 560, 308, 476, 224, 62, 30, 0], [2, 14, 117, 120, 588, 252, 546, 168, 90, 22, 1], [2, 14, 118, 112, 616, 196, 616, 112, 118, 14, 2], [2, 14, 119, 104, 644, 140, 686, 56, 146, 6, 3], [2, 15, 108, 156, 504, 378, 420, 252, 54, 31, 0], [2, 15, 109, 148, 532, 322, 490, 196, 82, 23, 1], [2, 15, 110, 140, 560, 266, 560, 140, 110, 15, 2], [2, 15, 111, 132, 588, 210, 630, 84, 138, 7, 3], [2, 16, 100, 184, 448, 448, 364, 280, 46, 32, 0], [2, 16, 101, 176, 476, 392, 434, 224, 74, 24, 1], [2, 16, 102, 168, 504, 336, 504, 168, 102, 16, 2], [2, 16, 103, 160, 532, 280, 574, 112, 130, 8, 3], [2, 16, 104, 152, 560, 224, 644, 56, 158, 0, 4], [2, 17, 92, 212, 392, 518, 308, 308, 38, 33, 0], [2, 17, 93, 204, 420, 462, 378, 252, 66, 25, 1], [2, 17, 94, 196, 448, 406, 448, 196, 94, 17, 2], [2, 17, 95, 188, 476, 350, 518, 140, 122, 9, 3], [2, 17, 96, 180, 504, 294, 588, 84, 150, 1, 4], [2, 18, 84, 240, 336, 588, 252, 336, 30, 34, 0], [2, 18, 85, 232, 364, 532, 322, 280, 58, 26, 1], [2, 18, 86, 224, 392, 476, 392, 224, 86, 18, 2], [2, 18, 87, 216, 420, 420, 462, 168, 114, 10, 3], [2, 18, 88, 208, 448, 364, 532, 112, 142, 2, 4], [2, 19, 76, 268, 280, 658, 196, 364, 22, 35, 0], [2, 19, 77, 260, 308, 602, 266, 308, 50, 27, 1], [2, 19, 78, 252, 336, 546, 336, 252, 78, 19, 2], [2, 19, 79, 244, 364, 490, 406, 196, 106, 11, 3], [2, 19, 80, 236, 392, 434, 476, 140, 134, 3, 4], [2, 20, 68, 296, 224, 728, 140, 392, 14, 36, 0], [2, 20, 69, 288, 252, 672, 210, 336, 42, 28, 1], [2, 20, 70, 280, 280, 616, 280, 280, 70, 20, 2], [2, 20, 71, 272, 308, 560, 350, 224, 98, 12, 3], [2, 20, 72, 264, 336, 504, 420, 168, 126, 4, 4], [2, 21, 60, 324, 168, 798, 84, 420, 6, 37, 0], [2, 21, 61, 316, 196, 742, 154, 364, 34, 29, 1], [2, 21, 62, 308, 224, 686, 224, 308, 62, 21, 2], [2, 21, 63, 300, 252, 630, 294, 252, 90, 13, 3], [2, 21, 64, 292, 280, 574, 364, 196, 118, 5, 4], [2, 22, 53, 344, 140, 812, 98, 392, 26, 30, 1], [2, 22, 54, 336, 168, 756, 168, 336, 54, 22, 2], [2, 22, 55, 328, 196, 700, 238, 280, 82, 14, 3], [2, 22, 56, 320, 224, 644, 308, 224, 110, 6, 4], [2, 23, 45, 372, 84, 882, 42, 420, 18, 31, 1], [2, 23, 46, 364, 112, 826, 112, 364, 46, 23, 2], [2, 23, 47, 356, 140, 770, 182, 308, 74, 15, 3], [2, 23, 48, 348, 168, 714, 252, 252, 102, 7, 4], [2, 24, 38, 392, 56, 896, 56, 392, 38, 24, 2], [2, 24, 39, 384, 84, 840, 126, 336, 66, 16, 3], [2, 24, 40, 376, 112, 784, 196, 280, 94, 8, 4], [2, 24, 41, 368, 140, 728, 266, 224, 122, 0, 5], [2, 25, 30, 420, 0, 966, 0, 420, 30, 25, 2], [2, 25, 31, 412, 28, 910, 70, 364, 58, 17, 3], [2, 25, 32, 404, 56, 854, 140, 308, 86, 9, 4], [2, 25, 33, 396, 84, 798, 210, 252, 114, 1, 5], [2, 26, 24, 432, 0, 924, 84, 336, 78, 10, 4], [2, 26, 25, 424, 28, 868, 154, 280, 106, 2, 5], [3, 4, 160, 16, 742, 112, 616, 160, 79, 28, 0], [3, 4, 161, 8, 770, 56, 686, 104, 107, 20, 1], [3, 4, 162, 0, 798, 0, 756, 48, 135, 12, 2], [3, 5, 152, 44, 686, 182, 560, 188, 71, 29, 0], [3, 5, 153, 36, 714, 126, 630, 132, 99, 21, 1], [3, 5, 154, 28, 742, 70, 700, 76, 127, 13, 2], [3, 5, 155, 20, 770, 14, 770, 20, 155, 5, 3], [3, 6, 144, 72, 630, 252, 504, 216, 63, 30, 0], [3, 6, 145, 64, 658, 196, 574, 160, 91, 22, 1], [3, 6, 146, 56, 686, 140, 644, 104, 119, 14, 2], [3, 6, 147, 48, 714, 84, 714, 48, 147, 6, 3], [3, 7, 136, 100, 574, 322, 448, 244, 55, 31, 0], [3, 7, 137, 92, 602, 266, 518, 188, 83, 23, 1], [3, 7, 138, 84, 630, 210, 588, 132, 111, 15, 2], [3, 7, 139, 76, 658, 154, 658, 76, 139, 7, 3], [3, 8, 128, 128, 518, 392, 392, 272, 47, 32, 0], [3, 8, 129, 120, 546, 336, 462, 216, 75, 24, 1], [3, 8, 130, 112, 574, 280, 532, 160, 103, 16, 2], [3, 8, 131, 104, 602, 224, 602, 104, 131, 8, 3], [3, 8, 132, 96, 630, 168, 672, 48, 159, 0, 4], [3, 9, 120, 156, 462, 462, 336, 300, 39, 33, 0], [3, 9, 121, 148, 490, 406, 406, 244, 67, 25, 1], [3, 9, 122, 140, 518, 350, 476, 188, 95, 17, 2], [3, 9, 123, 132, 546, 294, 546, 132, 123, 9, 3], [3, 9, 124, 124, 574, 238, 616, 76, 151, 1, 4], [3, 10, 112, 184, 406, 532, 280, 328, 31, 34, 0], [3, 10, 113, 176, 434, 476, 350, 272, 59, 26, 1], [3, 10, 114, 168, 462, 420, 420, 216, 87, 18, 2], [3, 10, 115, 160, 490, 364, 490, 160, 115, 10, 3], [3, 10, 116, 152, 518, 308, 560, 104, 143, 2, 4], [3, 11, 104, 212, 350, 602, 224, 356, 23, 35, 0], [3, 11, 105, 204, 378, 546, 294, 300, 51, 27, 1], [3, 11, 106, 196, 406, 490, 364, 244, 79, 19, 2], [3, 11, 107, 188, 434, 434, 434, 188, 107, 11, 3], [3, 11, 108, 180, 462, 378, 504, 132, 135, 3, 4], [3, 12, 96, 240, 294, 672, 168, 384, 15, 36, 0], [3, 12, 97, 232, 322, 616, 238, 328, 43, 28, 1], [3, 12, 98, 224, 350, 560, 308, 272, 71, 20, 2], [3, 12, 99, 216, 378, 504, 378, 216, 99, 12, 3], [3, 12, 100, 208, 406, 448, 448, 160, 127, 4, 4], [3, 13, 88, 268, 238, 742, 112, 412, 7, 37, 0], [3, 13, 89, 260, 266, 686, 182, 356, 35, 29, 1], [3, 13, 90, 252, 294, 630, 252, 300, 63, 21, 2], [3, 13, 91, 244, 322, 574, 322, 244, 91, 13, 3], [3, 13, 92, 236, 350, 518, 392, 188, 119, 5, 4], [3, 14, 81, 288, 210, 756, 126, 384, 27, 30, 1], [3, 14, 82, 280, 238, 700, 196, 328, 55, 22, 2], [3, 14, 83, 272, 266, 644, 266, 272, 83, 14, 3], [3, 14, 84, 264, 294, 588, 336, 216, 111, 6, 4], [3, 15, 73, 316, 154, 826, 70, 412, 19, 31, 1], [3, 15, 74, 308, 182, 770, 140, 356, 47, 23, 2], [3, 15, 75, 300, 210, 714, 210, 300, 75, 15, 3], [3, 15, 76, 292, 238, 658, 280, 244, 103, 7, 4], [3, 16, 65, 344, 98, 896, 14, 440, 11, 32, 1], [3, 16, 66, 336, 126, 840, 84, 384, 39, 24, 2], [3, 16, 67, 328, 154, 784, 154, 328, 67, 16, 3], [3, 16, 68, 320, 182, 728, 224, 272, 95, 8, 4], [3, 16, 69, 312, 210, 672, 294, 216, 123, 0, 5], [3, 17, 58, 364, 70, 910, 28, 412, 31, 25, 2], [3, 17, 59, 356, 98, 854, 98, 356, 59, 17, 3], [3, 17, 60, 348, 126, 798, 168, 300, 87, 9, 4], [3, 17, 61, 340, 154, 742, 238, 244, 115, 1, 5], [3, 18, 51, 384, 42, 924, 42, 384, 51, 18, 3], [3, 18, 52, 376, 70, 868, 112, 328, 79, 10, 4], [3, 18, 53, 368, 98, 812, 182, 272, 107, 2, 5], [3, 19, 44, 404, 14, 938, 56, 356, 71, 11, 4], [3, 19, 45, 396, 42, 882, 126, 300, 99, 3, 5], [4, 0, 156, 72, 588, 336, 420, 264, 48, 32, 0], [4, 0, 157, 64, 616, 280, 490, 208, 76, 24, 1], [4, 0, 158, 56, 644, 224, 560, 152, 104, 16, 2], [4, 0, 159, 48, 672, 168, 630, 96, 132, 8, 3], [4, 0, 160, 40, 700, 112, 700, 40, 160, 0, 4], [4, 1, 148, 100, 532, 406, 364, 292, 40, 33, 0], [4, 1, 149, 92, 560, 350, 434, 236, 68, 25, 1], [4, 1, 150, 84, 588, 294, 504, 180, 96, 17, 2], [4, 1, 151, 76, 616, 238, 574, 124, 124, 9, 3], [4, 1, 152, 68, 644, 182, 644, 68, 152, 1, 4], [4, 2, 140, 128, 476, 476, 308, 320, 32, 34, 0], [4, 2, 141, 120, 504, 420, 378, 264, 60, 26, 1], [4, 2, 142, 112, 532, 364, 448, 208, 88, 18, 2], [4, 2, 143, 104, 560, 308, 518, 152, 116, 10, 3], [4, 2, 144, 96, 588, 252, 588, 96, 144, 2, 4], [4, 3, 132, 156, 420, 546, 252, 348, 24, 35, 0], [4, 3, 133, 148, 448, 490, 322, 292, 52, 27, 1], [4, 3, 134, 140, 476, 434, 392, 236, 80, 19, 2], [4, 3, 135, 132, 504, 378, 462, 180, 108, 11, 3], [4, 3, 136, 124, 532, 322, 532, 124, 136, 3, 4], [4, 4, 124, 184, 364, 616, 196, 376, 16, 36, 0], [4, 4, 125, 176, 392, 560, 266, 320, 44, 28, 1], [4, 4, 126, 168, 420, 504, 336, 264, 72, 20, 2], [4, 4, 127, 160, 448, 448, 406, 208, 100, 12, 3], [4, 4, 128, 152, 476, 392, 476, 152, 128, 4, 4], [4, 5, 116, 212, 308, 686, 140, 404, 8, 37, 0], [4, 5, 117, 204, 336, 630, 210, 348, 36, 29, 1], [4, 5, 118, 196, 364, 574, 280, 292, 64, 21, 2], [4, 5, 119, 188, 392, 518, 350, 236, 92, 13, 3], [4, 5, 120, 180, 420, 462, 420, 180, 120, 5, 4], [4, 6, 108, 240, 252, 756, 84, 432, 0, 38, 0], [4, 6, 109, 232, 280, 700, 154, 376, 28, 30, 1], [4, 6, 110, 224, 308, 644, 224, 320, 56, 22, 2], [4, 6, 111, 216, 336, 588, 294, 264, 84, 14, 3], [4, 6, 112, 208, 364, 532, 364, 208, 112, 6, 4], [4, 7, 101, 260, 224, 770, 98, 404, 20, 31, 1], [4, 7, 102, 252, 252, 714, 168, 348, 48, 23, 2], [4, 7, 103, 244, 280, 658, 238, 292, 76, 15, 3], [4, 7, 104, 236, 308, 602, 308, 236, 104, 7, 4], [4, 8, 93, 288, 168, 840, 42, 432, 12, 32, 1], [4, 8, 94, 280, 196, 784, 112, 376, 40, 24, 2], [4, 8, 95, 272, 224, 728, 182, 320, 68, 16, 3], [4, 8, 96, 264, 252, 672, 252, 264, 96, 8, 4], [4, 8, 97, 256, 280, 616, 322, 208, 124, 0, 5], [4, 9, 86, 308, 140, 854, 56, 404, 32, 25, 2], [4, 9, 87, 300, 168, 798, 126, 348, 60, 17, 3], [4, 9, 88, 292, 196, 742, 196, 292, 88, 9, 4], [4, 9, 89, 284, 224, 686, 266, 236, 116, 1, 5], [4, 10, 78, 336, 84, 924, 0, 432, 24, 26, 2], [4, 10, 79, 328, 112, 868, 70, 376, 52, 18, 3], [4, 10, 80, 320, 140, 812, 140, 320, 80, 10, 4], [4, 10, 81, 312, 168, 756, 210, 264, 108, 2, 5], [4, 11, 71, 356, 56, 938, 14, 404, 44, 19, 3], [4, 11, 72, 348, 84, 882, 84, 348, 72, 11, 4], [4, 11, 73, 340, 112, 826, 154, 292, 100, 3, 5], [4, 12, 64, 376, 28, 952, 28, 376, 64, 12, 4], [4, 12, 65, 368, 56, 896, 98, 320, 92, 4, 5], [4, 13, 57, 396, 0, 966, 42, 348, 84, 5, 5], [5, 0, 121, 232, 238, 784, 70, 424, 13, 32, 1], [5, 0, 122, 224, 266, 728, 140, 368, 41, 24, 2], [5, 0, 123, 216, 294, 672, 210, 312, 69, 16, 3], [5, 0, 124, 208, 322, 616, 280, 256, 97, 8, 4], [5, 0, 125, 200, 350, 560, 350, 200, 125, 0, 5], [5, 1, 113, 260, 182, 854, 14, 452, 5, 33, 1], [5, 1, 114, 252, 210, 798, 84, 396, 33, 25, 2], [5, 1, 115, 244, 238, 742, 154, 340, 61, 17, 3], [5, 1, 116, 236, 266, 686, 224, 284, 89, 9, 4], [5, 1, 117, 228, 294, 630, 294, 228, 117, 1, 5], [5, 2, 106, 280, 154, 868, 28, 424, 25, 26, 2], [5, 2, 107, 272, 182, 812, 98, 368, 53, 18, 3], [5, 2, 108, 264, 210, 756, 168, 312, 81, 10, 4], [5, 2, 109, 256, 238, 700, 238, 256, 109, 2, 5], [5, 3, 99, 300, 126, 882, 42, 396, 45, 19, 3], [5, 3, 100, 292, 154, 826, 112, 340, 73, 11, 4], [5, 3, 101, 284, 182, 770, 182, 284, 101, 3, 5], [5, 4, 92, 320, 98, 896, 56, 368, 65, 12, 4], [5, 4, 93, 312, 126, 840, 126, 312, 93, 4, 5], [5, 5, 84, 348, 42, 966, 0, 396, 57, 13, 4], [5, 5, 85, 340, 70, 910, 70, 340, 85, 5, 5], [5, 6, 77, 368, 14, 980, 14, 368, 77, 6, 5], [6, 0, 90, 360, 0, 1008, 0, 360, 90, 0, 6]}
(11, 1920, 7) has 973 possible DDs: {[1, 2, 107, 2, 512, 350, 308, 518, 23, 88, 9, 0], [1, 3, 99, 30, 456, 420, 252, 546, 15, 89, 9, 0], [1, 3, 100, 22, 484, 364, 322, 490, 43, 81, 10, 0], [1, 3, 101, 14, 512, 308, 392, 434, 71, 73, 11, 0], [1, 3, 101, 15, 504, 336, 336, 504, 15, 101, 3, 1], [1, 3, 102, 6, 540, 252, 462, 378, 99, 65, 12, 0], [1, 3, 102, 7, 532, 280, 406, 448, 43, 93, 4, 1], [1, 4, 91, 58, 400, 490, 196, 574, 7, 90, 9, 0], [1, 4, 92, 50, 428, 434, 266, 518, 35, 82, 10, 0], [1, 4, 93, 42, 456, 378, 336, 462, 63, 74, 11, 0], [1, 4, 93, 43, 448, 406, 280, 532, 7, 102, 3, 1], [1, 4, 94, 34, 484, 322, 406, 406, 91, 66, 12, 0], [1, 4, 94, 35, 476, 350, 350, 476, 35, 94, 4, 1], [1, 4, 95, 26, 512, 266, 476, 350, 119, 58, 13, 0], [1, 4, 95, 27, 504, 294, 420, 420, 63, 86, 5, 1], [1, 4, 96, 18, 540, 210, 546, 294, 147, 50, 14, 0], [1, 4, 96, 19, 532, 238, 490, 364, 91, 78, 6, 1], [1, 4, 97, 10, 568, 154, 616, 238, 175, 42, 15, 0], [1, 4, 97, 11, 560, 182, 560, 308, 119, 70, 7, 1], [1, 4, 98, 2, 596, 98, 686, 182, 203, 34, 16, 0], [1, 4, 98, 3, 588, 126, 630, 252, 147, 62, 8, 1], [1, 4, 98, 4, 580, 154, 574, 322, 91, 90, 0, 2], [1, 5, 84, 78, 372, 504, 210, 546, 27, 83, 10, 0], [1, 5, 85, 70, 400, 448, 280, 490, 55, 75, 11, 0], [1, 5, 86, 62, 428, 392, 350, 434, 83, 67, 12, 0], [1, 5, 86, 63, 420, 420, 294, 504, 27, 95, 4, 1], [1, 5, 87, 54, 456, 336, 420, 378, 111, 59, 13, 0], [1, 5, 87, 55, 448, 364, 364, 448, 55, 87, 5, 1], [1, 5, 88, 46, 484, 280, 490, 322, 139, 51, 14, 0], [1, 5, 88, 47, 476, 308, 434, 392, 83, 79, 6, 1], [1, 5, 89, 38, 512, 224, 560, 266, 167, 43, 15, 0], [1, 5, 89, 39, 504, 252, 504, 336, 111, 71, 7, 1], [1, 5, 90, 30, 540, 168, 630, 210, 195, 35, 16, 0], [1, 5, 90, 31, 532, 196, 574, 280, 139, 63, 8, 1], [1, 5, 90, 32, 524, 224, 518, 350, 83, 91, 0, 2], [1, 5, 91, 22, 568, 112, 700, 154, 223, 27, 17, 0], [1, 5, 91, 23, 560, 140, 644, 224, 167, 55, 9, 1], [1, 5, 91, 24, 552, 168, 588, 294, 111, 83, 1, 2], [1, 5, 92, 14, 596, 56, 770, 98, 251, 19, 18, 0], [1, 5, 92, 15, 588, 84, 714, 168, 195, 47, 10, 1], [1, 5, 92, 16, 580, 112, 658, 238, 139, 75, 2, 2], [1, 5, 93, 6, 624, 0, 840, 42, 279, 11, 19, 0], [1, 5, 93, 7, 616, 28, 784, 112, 223, 39, 11, 1], [1, 5, 93, 8, 608, 56, 728, 182, 167, 67, 3, 2], [1, 5, 94, 0, 636, 0, 798, 126, 195, 59, 4, 2], [1, 6, 76, 106, 316, 574, 154, 574, 19, 84, 10, 0], [1, 6, 77, 98, 344, 518, 224, 518, 47, 76, 11, 0], [1, 6, 78, 90, 372, 462, 294, 462, 75, 68, 12, 0], [1, 6, 78, 91, 364, 490, 238, 532, 19, 96, 4, 1], [1, 6, 79, 82, 400, 406, 364, 406, 103, 60, 13, 0], [1, 6, 79, 83, 392, 434, 308, 476, 47, 88, 5, 1], [1, 6, 80, 74, 428, 350, 434, 350, 131, 52, 14, 0], [1, 6, 80, 75, 420, 378, 378, 420, 75, 80, 6, 1], [1, 6, 81, 66, 456, 294, 504, 294, 159, 44, 15, 0], [1, 6, 81, 67, 448, 322, 448, 364, 103, 72, 7, 1], [1, 6, 82, 58, 484, 238, 574, 238, 187, 36, 16, 0], [1, 6, 82, 59, 476, 266, 518, 308, 131, 64, 8, 1], [1, 6, 82, 60, 468, 294, 462, 378, 75, 92, 0, 2], [1, 6, 83, 50, 512, 182, 644, 182, 215, 28, 17, 0], [1, 6, 83, 51, 504, 210, 588, 252, 159, 56, 9, 1], [1, 6, 83, 52, 496, 238, 532, 322, 103, 84, 1, 2], [1, 6, 84, 42, 540, 126, 714, 126, 243, 20, 18, 0], [1, 6, 84, 43, 532, 154, 658, 196, 187, 48, 10, 1], [1, 6, 84, 44, 524, 182, 602, 266, 131, 76, 2, 2], [1, 6, 85, 34, 568, 70, 784, 70, 271, 12, 19, 0], [1, 6, 85, 35, 560, 98, 728, 140, 215, 40, 11, 1], [1, 6, 85, 36, 552, 126, 672, 210, 159, 68, 3, 2], [1, 6, 86, 26, 596, 14, 854, 14, 299, 4, 20, 0], [1, 6, 86, 27, 588, 42, 798, 84, 243, 32, 12, 1], [1, 6, 86, 28, 580, 70, 742, 154, 187, 60, 4, 2], [1, 6, 87, 20, 608, 14, 812, 98, 215, 52, 5, 2], [1, 7, 68, 134, 260, 644, 98, 602, 11, 85, 10, 0], [1, 7, 69, 126, 288, 588, 168, 546, 39, 77, 11, 0], [1, 7, 70, 118, 316, 532, 238, 490, 67, 69, 12, 0], [1, 7, 70, 119, 308, 560, 182, 560, 11, 97, 4, 1], [1, 7, 71, 110, 344, 476, 308, 434, 95, 61, 13, 0], [1, 7, 71, 111, 336, 504, 252, 504, 39, 89, 5, 1], [1, 7, 72, 102, 372, 420, 378, 378, 123, 53, 14, 0], [1, 7, 72, 103, 364, 448, 322, 448, 67, 81, 6, 1], [1, 7, 73, 94, 400, 364, 448, 322, 151, 45, 15, 0], [1, 7, 73, 95, 392, 392, 392, 392, 95, 73, 7, 1], [1, 7, 74, 86, 428, 308, 518, 266, 179, 37, 16, 0], [1, 7, 74, 87, 420, 336, 462, 336, 123, 65, 8, 1], [1, 7, 74, 88, 412, 364, 406, 406, 67, 93, 0, 2], [1, 7, 75, 78, 456, 252, 588, 210, 207, 29, 17, 0], [1, 7, 75, 79, 448, 280, 532, 280, 151, 57, 9, 1], [1, 7, 75, 80, 440, 308, 476, 350, 95, 85, 1, 2], [1, 7, 76, 70, 484, 196, 658, 154, 235, 21, 18, 0], [1, 7, 76, 71, 476, 224, 602, 224, 179, 49, 10, 1], [1, 7, 76, 72, 468, 252, 546, 294, 123, 77, 2, 2], [1, 7, 77, 62, 512, 140, 728, 98, 263, 13, 19, 0], [1, 7, 77, 63, 504, 168, 672, 168, 207, 41, 11, 1], [1, 7, 77, 64, 496, 196, 616, 238, 151, 69, 3, 2], [1, 7, 78, 54, 540, 84, 798, 42, 291, 5, 20, 0], [1, 7, 78, 55, 532, 112, 742, 112, 235, 33, 12, 1], [1, 7, 78, 56, 524, 140, 686, 182, 179, 61, 4, 2], [1, 7, 79, 47, 560, 56, 812, 56, 263, 25, 13, 1], [1, 7, 79, 48, 552, 84, 756, 126, 207, 53, 5, 2], [1, 7, 80, 39, 588, 0, 882, 0, 291, 17, 14, 1], [1, 7, 80, 40, 580, 28, 826, 70, 235, 45, 6, 2], [1, 8, 60, 162, 204, 714, 42, 630, 3, 86, 10, 0], [1, 8, 61, 154, 232, 658, 112, 574, 31, 78, 11, 0], [1, 8, 62, 146, 260, 602, 182, 518, 59, 70, 12, 0], [1, 8, 62, 147, 252, 630, 126, 588, 3, 98, 4, 1], [1, 8, 63, 138, 288, 546, 252, 462, 87, 62, 13, 0], [1, 8, 63, 139, 280, 574, 196, 532, 31, 90, 5, 1], [1, 8, 64, 130, 316, 490, 322, 406, 115, 54, 14, 0], [1, 8, 64, 131, 308, 518, 266, 476, 59, 82, 6, 1], [1, 8, 65, 122, 344, 434, 392, 350, 143, 46, 15, 0], [1, 8, 65, 123, 336, 462, 336, 420, 87, 74, 7, 1], [1, 8, 66, 114, 372, 378, 462, 294, 171, 38, 16, 0], [1, 8, 66, 115, 364, 406, 406, 364, 115, 66, 8, 1], [1, 8, 66, 116, 356, 434, 350, 434, 59, 94, 0, 2], [1, 8, 67, 106, 400, 322, 532, 238, 199, 30, 17, 0], [1, 8, 67, 107, 392, 350, 476, 308, 143, 58, 9, 1], [1, 8, 67, 108, 384, 378, 420, 378, 87, 86, 1, 2], [1, 8, 68, 98, 428, 266, 602, 182, 227, 22, 18, 0], [1, 8, 68, 99, 420, 294, 546, 252, 171, 50, 10, 1], [1, 8, 68, 100, 412, 322, 490, 322, 115, 78, 2, 2], [1, 8, 69, 90, 456, 210, 672, 126, 255, 14, 19, 0], [1, 8, 69, 91, 448, 238, 616, 196, 199, 42, 11, 1], [1, 8, 69, 92, 440, 266, 560, 266, 143, 70, 3, 2], [1, 8, 70, 82, 484, 154, 742, 70, 283, 6, 20, 0], [1, 8, 70, 83, 476, 182, 686, 140, 227, 34, 12, 1], [1, 8, 70, 84, 468, 210, 630, 210, 171, 62, 4, 2], [1, 8, 71, 75, 504, 126, 756, 84, 255, 26, 13, 1], [1, 8, 71, 76, 496, 154, 700, 154, 199, 54, 5, 2], [1, 8, 72, 67, 532, 70, 826, 28, 283, 18, 14, 1], [1, 8, 72, 68, 524, 98, 770, 98, 227, 46, 6, 2], [1, 8, 73, 60, 552, 42, 840, 42, 255, 38, 7, 2], [1, 8, 74, 53, 572, 14, 854, 56, 227, 58, 0, 3], [1, 9, 53, 182, 176, 728, 56, 602, 23, 79, 11, 0], [1, 9, 54, 174, 204, 672, 126, 546, 51, 71, 12, 0], [1, 9, 55, 166, 232, 616, 196, 490, 79, 63, 13, 0], [1, 9, 55, 167, 224, 644, 140, 560, 23, 91, 5, 1], [1, 9, 56, 158, 260, 560, 266, 434, 107, 55, 14, 0], [1, 9, 56, 159, 252, 588, 210, 504, 51, 83, 6, 1], [1, 9, 57, 150, 288, 504, 336, 378, 135, 47, 15, 0], [1, 9, 57, 151, 280, 532, 280, 448, 79, 75, 7, 1], [1, 9, 58, 142, 316, 448, 406, 322, 163, 39, 16, 0], [1, 9, 58, 143, 308, 476, 350, 392, 107, 67, 8, 1], [1, 9, 58, 144, 300, 504, 294, 462, 51, 95, 0, 2], [1, 9, 59, 134, 344, 392, 476, 266, 191, 31, 17, 0], [1, 9, 59, 135, 336, 420, 420, 336, 135, 59, 9, 1], [1, 9, 59, 136, 328, 448, 364, 406, 79, 87, 1, 2], [1, 9, 60, 126, 372, 336, 546, 210, 219, 23, 18, 0], [1, 9, 60, 127, 364, 364, 490, 280, 163, 51, 10, 1], [1, 9, 60, 128, 356, 392, 434, 350, 107, 79, 2, 2], [1, 9, 61, 118, 400, 280, 616, 154, 247, 15, 19, 0], [1, 9, 61, 119, 392, 308, 560, 224, 191, 43, 11, 1], [1, 9, 61, 120, 384, 336, 504, 294, 135, 71, 3, 2], [1, 9, 62, 110, 428, 224, 686, 98, 275, 7, 20, 0], [1, 9, 62, 111, 420, 252, 630, 168, 219, 35, 12, 1], [1, 9, 62, 112, 412, 280, 574, 238, 163, 63, 4, 2], [1, 9, 63, 103, 448, 196, 700, 112, 247, 27, 13, 1], [1, 9, 63, 104, 440, 224, 644, 182, 191, 55, 5, 2], [1, 9, 64, 95, 476, 140, 770, 56, 275, 19, 14, 1], [1, 9, 64, 96, 468, 168, 714, 126, 219, 47, 6, 2], [1, 9, 65, 87, 504, 84, 840, 0, 303, 11, 15, 1], [1, 9, 65, 88, 496, 112, 784, 70, 247, 39, 7, 2], [1, 9, 66, 80, 524, 56, 854, 14, 275, 31, 8, 2], [1, 9, 66, 81, 516, 84, 798, 84, 219, 59, 0, 3], [1, 9, 67, 73, 544, 28, 868, 28, 247, 51, 1, 3], [1, 10, 45, 210, 120, 798, 0, 630, 15, 80, 11, 0], [1, 10, 46, 202, 148, 742, 70, 574, 43, 72, 12, 0], [1, 10, 47, 194, 176, 686, 140, 518, 71, 64, 13, 0], [1, 10, 47, 195, 168, 714, 84, 588, 15, 92, 5, 1], [1, 10, 48, 186, 204, 630, 210, 462, 99, 56, 14, 0], [1, 10, 48, 187, 196, 658, 154, 532, 43, 84, 6, 1], [1, 10, 49, 178, 232, 574, 280, 406, 127, 48, 15, 0], [1, 10, 49, 179, 224, 602, 224, 476, 71, 76, 7, 1], [1, 10, 50, 170, 260, 518, 350, 350, 155, 40, 16, 0], [1, 10, 50, 171, 252, 546, 294, 420, 99, 68, 8, 1], [1, 10, 50, 172, 244, 574, 238, 490, 43, 96, 0, 2], [1, 10, 51, 162, 288, 462, 420, 294, 183, 32, 17, 0], [1, 10, 51, 163, 280, 490, 364, 364, 127, 60, 9, 1], [1, 10, 51, 164, 272, 518, 308, 434, 71, 88, 1, 2], [1, 10, 52, 154, 316, 406, 490, 238, 211, 24, 18, 0], [1, 10, 52, 155, 308, 434, 434, 308, 155, 52, 10, 1], [1, 10, 52, 156, 300, 462, 378, 378, 99, 80, 2, 2], [1, 10, 53, 146, 344, 350, 560, 182, 239, 16, 19, 0], [1, 10, 53, 147, 336, 378, 504, 252, 183, 44, 11, 1], [1, 10, 53, 148, 328, 406, 448, 322, 127, 72, 3, 2], [1, 10, 54, 138, 372, 294, 630, 126, 267, 8, 20, 0], [1, 10, 54, 139, 364, 322, 574, 196, 211, 36, 12, 1], [1, 10, 54, 140, 356, 350, 518, 266, 155, 64, 4, 2], [1, 10, 55, 130, 400, 238, 700, 70, 295, 0, 21, 0], [1, 10, 55, 131, 392, 266, 644, 140, 239, 28, 13, 1], [1, 10, 55, 132, 384, 294, 588, 210, 183, 56, 5, 2], [1, 10, 56, 123, 420, 210, 714, 84, 267, 20, 14, 1], [1, 10, 56, 124, 412, 238, 658, 154, 211, 48, 6, 2], [1, 10, 57, 115, 448, 154, 784, 28, 295, 12, 15, 1], [1, 10, 57, 116, 440, 182, 728, 98, 239, 40, 7, 2], [1, 10, 58, 108, 468, 126, 798, 42, 267, 32, 8, 2], [1, 10, 58, 109, 460, 154, 742, 112, 211, 60, 0, 3], [1, 10, 59, 101, 488, 98, 812, 56, 239, 52, 1, 3], [1, 10, 60, 93, 516, 42, 882, 0, 267, 44, 2, 3], [1, 11, 38, 230, 92, 812, 14, 602, 35, 73, 12, 0], [1, 11, 39, 222, 120, 756, 84, 546, 63, 65, 13, 0], [1, 11, 39, 223, 112, 784, 28, 616, 7, 93, 5, 1], [1, 11, 40, 214, 148, 700, 154, 490, 91, 57, 14, 0], [1, 11, 40, 215, 140, 728, 98, 560, 35, 85, 6, 1], [1, 11, 41, 206, 176, 644, 224, 434, 119, 49, 15, 0], [1, 11, 41, 207, 168, 672, 168, 504, 63, 77, 7, 1], [1, 11, 42, 198, 204, 588, 294, 378, 147, 41, 16, 0], [1, 11, 42, 199, 196, 616, 238, 448, 91, 69, 8, 1], [1, 11, 42, 200, 188, 644, 182, 518, 35, 97, 0, 2], [1, 11, 43, 190, 232, 532, 364, 322, 175, 33, 17, 0], [1, 11, 43, 191, 224, 560, 308, 392, 119, 61, 9, 1], [1, 11, 43, 192, 216, 588, 252, 462, 63, 89, 1, 2], [1, 11, 44, 182, 260, 476, 434, 266, 203, 25, 18, 0], [1, 11, 44, 183, 252, 504, 378, 336, 147, 53, 10, 1], [1, 11, 44, 184, 244, 532, 322, 406, 91, 81, 2, 2], [1, 11, 45, 174, 288, 420, 504, 210, 231, 17, 19, 0], [1, 11, 45, 175, 280, 448, 448, 280, 175, 45, 11, 1], [1, 11, 45, 176, 272, 476, 392, 350, 119, 73, 3, 2], [1, 11, 46, 166, 316, 364, 574, 154, 259, 9, 20, 0], [1, 11, 46, 167, 308, 392, 518, 224, 203, 37, 12, 1], [1, 11, 46, 168, 300, 420, 462, 294, 147, 65, 4, 2], [1, 11, 47, 158, 344, 308, 644, 98, 287, 1, 21, 0], [1, 11, 47, 159, 336, 336, 588, 168, 231, 29, 13, 1], [1, 11, 47, 160, 328, 364, 532, 238, 175, 57, 5, 2], [1, 11, 48, 151, 364, 280, 658, 112, 259, 21, 14, 1], [1, 11, 48, 152, 356, 308, 602, 182, 203, 49, 6, 2], [1, 11, 49, 143, 392, 224, 728, 56, 287, 13, 15, 1], [1, 11, 49, 144, 384, 252, 672, 126, 231, 41, 7, 2], [1, 11, 50, 135, 420, 168, 798, 0, 315, 5, 16, 1], [1, 11, 50, 136, 412, 196, 742, 70, 259, 33, 8, 2], [1, 11, 50, 137, 404, 224, 686, 140, 203, 61, 0, 3], [1, 11, 51, 128, 440, 140, 812, 14, 287, 25, 9, 2], [1, 11, 51, 129, 432, 168, 756, 84, 231, 53, 1, 3], [1, 11, 52, 121, 460, 112, 826, 28, 259, 45, 2, 3], [1, 12, 31, 250, 64, 826, 28, 574, 55, 66, 13, 0], [1, 12, 32, 242, 92, 770, 98, 518, 83, 58, 14, 0], [1, 12, 32, 243, 84, 798, 42, 588, 27, 86, 6, 1], [1, 12, 33, 234, 120, 714, 168, 462, 111, 50, 15, 0], [1, 12, 33, 235, 112, 742, 112, 532, 55, 78, 7, 1], [1, 12, 34, 226, 148, 658, 238, 406, 139, 42, 16, 0], [1, 12, 34, 227, 140, 686, 182, 476, 83, 70, 8, 1], [1, 12, 34, 228, 132, 714, 126, 546, 27, 98, 0, 2], [1, 12, 35, 218, 176, 602, 308, 350, 167, 34, 17, 0], [1, 12, 35, 219, 168, 630, 252, 420, 111, 62, 9, 1], [1, 12, 35, 220, 160, 658, 196, 490, 55, 90, 1, 2], [1, 12, 36, 210, 204, 546, 378, 294, 195, 26, 18, 0], [1, 12, 36, 211, 196, 574, 322, 364, 139, 54, 10, 1], [1, 12, 36, 212, 188, 602, 266, 434, 83, 82, 2, 2], [1, 12, 37, 202, 232, 490, 448, 238, 223, 18, 19, 0], [1, 12, 37, 203, 224, 518, 392, 308, 167, 46, 11, 1], [1, 12, 37, 204, 216, 546, 336, 378, 111, 74, 3, 2], [1, 12, 38, 194, 260, 434, 518, 182, 251, 10, 20, 0], [1, 12, 38, 195, 252, 462, 462, 252, 195, 38, 12, 1], [1, 12, 38, 196, 244, 490, 406, 322, 139, 66, 4, 2], [1, 12, 39, 186, 288, 378, 588, 126, 279, 2, 21, 0], [1, 12, 39, 187, 280, 406, 532, 196, 223, 30, 13, 1], [1, 12, 39, 188, 272, 434, 476, 266, 167, 58, 5, 2], [1, 12, 40, 179, 308, 350, 602, 140, 251, 22, 14, 1], [1, 12, 40, 180, 300, 378, 546, 210, 195, 50, 6, 2], [1, 12, 41, 171, 336, 294, 672, 84, 279, 14, 15, 1], [1, 12, 41, 172, 328, 322, 616, 154, 223, 42, 7, 2], [1, 12, 42, 163, 364, 238, 742, 28, 307, 6, 16, 1], [1, 12, 42, 164, 356, 266, 686, 98, 251, 34, 8, 2], [1, 12, 42, 165, 348, 294, 630, 168, 195, 62, 0, 3], [1, 12, 43, 156, 384, 210, 756, 42, 279, 26, 9, 2], [1, 12, 43, 157, 376, 238, 700, 112, 223, 54, 1, 3], [1, 12, 44, 149, 404, 182, 770, 56, 251, 46, 2, 3], [1, 12, 45, 141, 432, 126, 840, 0, 279, 38, 3, 3], [1, 13, 24, 270, 36, 840, 42, 546, 75, 59, 14, 0], [1, 13, 25, 262, 64, 784, 112, 490, 103, 51, 15, 0], [1, 13, 25, 263, 56, 812, 56, 560, 47, 79, 7, 1], [1, 13, 26, 254, 92, 728, 182, 434, 131, 43, 16, 0], [1, 13, 26, 255, 84, 756, 126, 504, 75, 71, 8, 1], [1, 13, 26, 256, 76, 784, 70, 574, 19, 99, 0, 2], [1, 13, 27, 246, 120, 672, 252, 378, 159, 35, 17, 0], [1, 13, 27, 247, 112, 700, 196, 448, 103, 63, 9, 1], [1, 13, 27, 248, 104, 728, 140, 518, 47, 91, 1, 2], [1, 13, 28, 238, 148, 616, 322, 322, 187, 27, 18, 0], [1, 13, 28, 239, 140, 644, 266, 392, 131, 55, 10, 1], [1, 13, 28, 240, 132, 672, 210, 462, 75, 83, 2, 2], [1, 13, 29, 230, 176, 560, 392, 266, 215, 19, 19, 0], [1, 13, 29, 231, 168, 588, 336, 336, 159, 47, 11, 1], [1, 13, 29, 232, 160, 616, 280, 406, 103, 75, 3, 2], [1, 13, 30, 222, 204, 504, 462, 210, 243, 11, 20, 0], [1, 13, 30, 223, 196, 532, 406, 280, 187, 39, 12, 1], [1, 13, 30, 224, 188, 560, 350, 350, 131, 67, 4, 2], [1, 13, 31, 214, 232, 448, 532, 154, 271, 3, 21, 0], [1, 13, 31, 215, 224, 476, 476, 224, 215, 31, 13, 1], [1, 13, 31, 216, 216, 504, 420, 294, 159, 59, 5, 2], [1, 13, 32, 207, 252, 420, 546, 168, 243, 23, 14, 1], [1, 13, 32, 208, 244, 448, 490, 238, 187, 51, 6, 2], [1, 13, 33, 199, 280, 364, 616, 112, 271, 15, 15, 1], [1, 13, 33, 200, 272, 392, 560, 182, 215, 43, 7, 2], [1, 13, 34, 191, 308, 308, 686, 56, 299, 7, 16, 1], [1, 13, 34, 192, 300, 336, 630, 126, 243, 35, 8, 2], [1, 13, 34, 193, 292, 364, 574, 196, 187, 63, 0, 3], [1, 13, 35, 184, 328, 280, 700, 70, 271, 27, 9, 2], [1, 13, 35, 185, 320, 308, 644, 140, 215, 55, 1, 3], [1, 13, 36, 176, 356, 224, 770, 14, 299, 19, 10, 2], [1, 13, 36, 177, 348, 252, 714, 84, 243, 47, 2, 3], [1, 13, 37, 169, 376, 196, 784, 28, 271, 39, 3, 3], [1, 14, 17, 290, 8, 854, 56, 518, 95, 52, 15, 0], [1, 14, 17, 291, 0, 882, 0, 588, 39, 80, 7, 1], [1, 14, 18, 282, 36, 798, 126, 462, 123, 44, 16, 0], [1, 14, 18, 283, 28, 826, 70, 532, 67, 72, 8, 1], [1, 14, 18, 284, 20, 854, 14, 602, 11, 100, 0, 2], [1, 14, 19, 274, 64, 742, 196, 406, 151, 36, 17, 0], [1, 14, 19, 275, 56, 770, 140, 476, 95, 64, 9, 1], [1, 14, 19, 276, 48, 798, 84, 546, 39, 92, 1, 2], [1, 14, 20, 266, 92, 686, 266, 350, 179, 28, 18, 0], [1, 14, 20, 267, 84, 714, 210, 420, 123, 56, 10, 1], [1, 14, 20, 268, 76, 742, 154, 490, 67, 84, 2, 2], [1, 14, 21, 258, 120, 630, 336, 294, 207, 20, 19, 0], [1, 14, 21, 259, 112, 658, 280, 364, 151, 48, 11, 1], [1, 14, 21, 260, 104, 686, 224, 434, 95, 76, 3, 2], [1, 14, 22, 250, 148, 574, 406, 238, 235, 12, 20, 0], [1, 14, 22, 251, 140, 602, 350, 308, 179, 40, 12, 1], [1, 14, 22, 252, 132, 630, 294, 378, 123, 68, 4, 2], [1, 14, 23, 242, 176, 518, 476, 182, 263, 4, 21, 0], [1, 14, 23, 243, 168, 546, 420, 252, 207, 32, 13, 1], [1, 14, 23, 244, 160, 574, 364, 322, 151, 60, 5, 2], [1, 14, 24, 235, 196, 490, 490, 196, 235, 24, 14, 1], [1, 14, 24, 236, 188, 518, 434, 266, 179, 52, 6, 2], [1, 14, 25, 227, 224, 434, 560, 140, 263, 16, 15, 1], [1, 14, 25, 228, 216, 462, 504, 210, 207, 44, 7, 2], [1, 14, 26, 219, 252, 378, 630, 84, 291, 8, 16, 1], [1, 14, 26, 220, 244, 406, 574, 154, 235, 36, 8, 2], [1, 14, 26, 221, 236, 434, 518, 224, 179, 64, 0, 3], [1, 14, 27, 211, 280, 322, 700, 28, 319, 0, 17, 1], [1, 14, 27, 212, 272, 350, 644, 98, 263, 28, 9, 2], [1, 14, 27, 213, 264, 378, 588, 168, 207, 56, 1, 3], [1, 14, 28, 204, 300, 294, 714, 42, 291, 20, 10, 2], [1, 14, 28, 205, 292, 322, 658, 112, 235, 48, 2, 3], [1, 14, 29, 197, 320, 266, 728, 56, 263, 40, 3, 3], [1, 14, 30, 189, 348, 210, 798, 0, 291, 32, 4, 3], [1, 15, 11, 302, 8, 812, 140, 434, 143, 37, 17, 0], [1, 15, 11, 303, 0, 840, 84, 504, 87, 65, 9, 1], [1, 15, 12, 294, 36, 756, 210, 378, 171, 29, 18, 0], [1, 15, 12, 295, 28, 784, 154, 448, 115, 57, 10, 1], [1, 15, 12, 296, 20, 812, 98, 518, 59, 85, 2, 2], [1, 15, 13, 286, 64, 700, 280, 322, 199, 21, 19, 0], [1, 15, 13, 287, 56, 728, 224, 392, 143, 49, 11, 1], [1, 15, 13, 288, 48, 756, 168, 462, 87, 77, 3, 2], [1, 15, 14, 278, 92, 644, 350, 266, 227, 13, 20, 0], [1, 15, 14, 279, 84, 672, 294, 336, 171, 41, 12, 1], [1, 15, 14, 280, 76, 700, 238, 406, 115, 69, 4, 2], [1, 15, 15, 270, 120, 588, 420, 210, 255, 5, 21, 0], [1, 15, 15, 271, 112, 616, 364, 280, 199, 33, 13, 1], [1, 15, 15, 272, 104, 644, 308, 350, 143, 61, 5, 2], [1, 15, 16, 263, 140, 560, 434, 224, 227, 25, 14, 1], [1, 15, 16, 264, 132, 588, 378, 294, 171, 53, 6, 2], [1, 15, 17, 255, 168, 504, 504, 168, 255, 17, 15, 1], [1, 15, 17, 256, 160, 532, 448, 238, 199, 45, 7, 2], [1, 15, 18, 247, 196, 448, 574, 112, 283, 9, 16, 1], [1, 15, 18, 248, 188, 476, 518, 182, 227, 37, 8, 2], [1, 15, 18, 249, 180, 504, 462, 252, 171, 65, 0, 3], [1, 15, 19, 239, 224, 392, 644, 56, 311, 1, 17, 1], [1, 15, 19, 240, 216, 420, 588, 126, 255, 29, 9, 2], [1, 15, 19, 241, 208, 448, 532, 196, 199, 57, 1, 3], [1, 15, 20, 232, 244, 364, 658, 70, 283, 21, 10, 2], [1, 15, 20, 233, 236, 392, 602, 140, 227, 49, 2, 3], [1, 15, 21, 224, 272, 308, 728, 14, 311, 13, 11, 2], [1, 15, 21, 225, 264, 336, 672, 84, 255, 41, 3, 3], [1, 15, 22, 217, 292, 280, 742, 28, 283, 33, 4, 3], [1, 16, 5, 314, 8, 770, 224, 350, 191, 22, 19, 0], [1, 16, 5, 315, 0, 798, 168, 420, 135, 50, 11, 1], [1, 16, 6, 306, 36, 714, 294, 294, 219, 14, 20, 0], [1, 16, 6, 307, 28, 742, 238, 364, 163, 42, 12, 1], [1, 16, 6, 308, 20, 770, 182, 434, 107, 70, 4, 2], [1, 16, 7, 298, 64, 658, 364, 238, 247, 6, 21, 0], [1, 16, 7, 299, 56, 686, 308, 308, 191, 34, 13, 1], [1, 16, 7, 300, 48, 714, 252, 378, 135, 62, 5, 2], [1, 16, 8, 291, 84, 630, 378, 252, 219, 26, 14, 1], [1, 16, 8, 292, 76, 658, 322, 322, 163, 54, 6, 2], [1, 16, 9, 283, 112, 574, 448, 196, 247, 18, 15, 1], [1, 16, 9, 284, 104, 602, 392, 266, 191, 46, 7, 2], [1, 16, 10, 275, 140, 518, 518, 140, 275, 10, 16, 1], [1, 16, 10, 276, 132, 546, 462, 210, 219, 38, 8, 2], [1, 16, 10, 277, 124, 574, 406, 280, 163, 66, 0, 3], [1, 16, 11, 267, 168, 462, 588, 84, 303, 2, 17, 1], [1, 16, 11, 268, 160, 490, 532, 154, 247, 30, 9, 2], [1, 16, 11, 269, 152, 518, 476, 224, 191, 58, 1, 3], [1, 16, 12, 260, 188, 434, 602, 98, 275, 22, 10, 2], [1, 16, 12, 261, 180, 462, 546, 168, 219, 50, 2, 3], [1, 16, 13, 252, 216, 378, 672, 42, 303, 14, 11, 2], [1, 16, 13, 253, 208, 406, 616, 112, 247, 42, 3, 3], [1, 16, 14, 245, 236, 350, 686, 56, 275, 34, 4, 3], [1, 16, 15, 237, 264, 294, 756, 0, 303, 26, 5, 3], [1, 17, 0, 319, 28, 700, 322, 280, 211, 27, 14, 1], [1, 17, 0, 320, 20, 728, 266, 350, 155, 55, 6, 2], [1, 17, 1, 311, 56, 644, 392, 224, 239, 19, 15, 1], [1, 17, 1, 312, 48, 672, 336, 294, 183, 47, 7, 2], [1, 17, 2, 303, 84, 588, 462, 168, 267, 11, 16, 1], [1, 17, 2, 304, 76, 616, 406, 238, 211, 39, 8, 2], [1, 17, 2, 305, 68, 644, 350, 308, 155, 67, 0, 3], [1, 17, 3, 295, 112, 532, 532, 112, 295, 3, 17, 1], [1, 17, 3, 296, 104, 560, 476, 182, 239, 31, 9, 2], [1, 17, 3, 297, 96, 588, 420, 252, 183, 59, 1, 3], [1, 17, 4, 288, 132, 504, 546, 126, 267, 23, 10, 2], [1, 17, 4, 289, 124, 532, 490, 196, 211, 51, 2, 3], [1, 17, 5, 280, 160, 448, 616, 70, 295, 15, 11, 2], [1, 17, 5, 281, 152, 476, 560, 140, 239, 43, 3, 3], [1, 17, 6, 272, 188, 392, 686, 14, 323, 7, 12, 2], [1, 17, 6, 273, 180, 420, 630, 84, 267, 35, 4, 3], [1, 17, 7, 265, 208, 364, 700, 28, 295, 27, 5, 3], [1, 18, 0, 285, 180, 378, 714, 0, 315, 20, 6, 3], [2, 0, 88, 106, 274, 658, 70, 622, 4, 86, 10, 0], [2, 0, 89, 98, 302, 602, 140, 566, 32, 78, 11, 0], [2, 0, 90, 90, 330, 546, 210, 510, 60, 70, 12, 0], [2, 0, 90, 91, 322, 574, 154, 580, 4, 98, 4, 1], [2, 0, 91, 82, 358, 490, 280, 454, 88, 62, 13, 0], [2, 0, 91, 83, 350, 518, 224, 524, 32, 90, 5, 1], [2, 0, 92, 74, 386, 434, 350, 398, 116, 54, 14, 0], [2, 0, 92, 75, 378, 462, 294, 468, 60, 82, 6, 1], [2, 0, 93, 66, 414, 378, 420, 342, 144, 46, 15, 0], [2, 0, 93, 67, 406, 406, 364, 412, 88, 74, 7, 1], [2, 0, 94, 58, 442, 322, 490, 286, 172, 38, 16, 0], [2, 0, 94, 59, 434, 350, 434, 356, 116, 66, 8, 1], [2, 0, 94, 60, 426, 378, 378, 426, 60, 94, 0, 2], [2, 0, 95, 50, 470, 266, 560, 230, 200, 30, 17, 0], [2, 0, 95, 51, 462, 294, 504, 300, 144, 58, 9, 1], [2, 0, 95, 52, 454, 322, 448, 370, 88, 86, 1, 2], [2, 0, 96, 42, 498, 210, 630, 174, 228, 22, 18, 0], [2, 0, 96, 43, 490, 238, 574, 244, 172, 50, 10, 1], [2, 0, 96, 44, 482, 266, 518, 314, 116, 78, 2, 2], [2, 0, 97, 34, 526, 154, 700, 118, 256, 14, 19, 0], [2, 0, 97, 35, 518, 182, 644, 188, 200, 42, 11, 1], [2, 0, 97, 36, 510, 210, 588, 258, 144, 70, 3, 2], [2, 0, 98, 26, 554, 98, 770, 62, 284, 6, 20, 0], [2, 0, 98, 27, 546, 126, 714, 132, 228, 34, 12, 1], [2, 0, 98, 28, 538, 154, 658, 202, 172, 62, 4, 2], [2, 0, 99, 19, 574, 70, 784, 76, 256, 26, 13, 1], [2, 0, 99, 20, 566, 98, 728, 146, 200, 54, 5, 2], [2, 0, 100, 11, 602, 14, 854, 20, 284, 18, 14, 1], [2, 0, 100, 12, 594, 42, 798, 90, 228, 46, 6, 2], [2, 1, 81, 126, 246, 672, 84, 594, 24, 79, 11, 0], [2, 1, 82, 118, 274, 616, 154, 538, 52, 71, 12, 0], [2, 1, 83, 110, 302, 560, 224, 482, 80, 63, 13, 0], [2, 1, 83, 111, 294, 588, 168, 552, 24, 91, 5, 1], [2, 1, 84, 102, 330, 504, 294, 426, 108, 55, 14, 0], [2, 1, 84, 103, 322, 532, 238, 496, 52, 83, 6, 1], [2, 1, 85, 94, 358, 448, 364, 370, 136, 47, 15, 0], [2, 1, 85, 95, 350, 476, 308, 440, 80, 75, 7, 1], [2, 1, 86, 86, 386, 392, 434, 314, 164, 39, 16, 0], [2, 1, 86, 87, 378, 420, 378, 384, 108, 67, 8, 1], [2, 1, 86, 88, 370, 448, 322, 454, 52, 95, 0, 2], [2, 1, 87, 78, 414, 336, 504, 258, 192, 31, 17, 0], [2, 1, 87, 79, 406, 364, 448, 328, 136, 59, 9, 1], [2, 1, 87, 80, 398, 392, 392, 398, 80, 87, 1, 2], [2, 1, 88, 70, 442, 280, 574, 202, 220, 23, 18, 0], [2, 1, 88, 71, 434, 308, 518, 272, 164, 51, 10, 1], [2, 1, 88, 72, 426, 336, 462, 342, 108, 79, 2, 2], [2, 1, 89, 62, 470, 224, 644, 146, 248, 15, 19, 0], [2, 1, 89, 63, 462, 252, 588, 216, 192, 43, 11, 1], [2, 1, 89, 64, 454, 280, 532, 286, 136, 71, 3, 2], [2, 1, 90, 54, 498, 168, 714, 90, 276, 7, 20, 0], [2, 1, 90, 55, 490, 196, 658, 160, 220, 35, 12, 1], [2, 1, 90, 56, 482, 224, 602, 230, 164, 63, 4, 2], [2, 1, 91, 47, 518, 140, 728, 104, 248, 27, 13, 1], [2, 1, 91, 48, 510, 168, 672, 174, 192, 55, 5, 2], [2, 1, 92, 39, 546, 84, 798, 48, 276, 19, 14, 1], [2, 1, 92, 40, 538, 112, 742, 118, 220, 47, 6, 2], [2, 1, 93, 32, 566, 56, 812, 62, 248, 39, 7, 2], [2, 1, 94, 24, 594, 0, 882, 6, 276, 31, 8, 2], [2, 1, 94, 25, 586, 28, 826, 76, 220, 59, 0, 3], [2, 2, 73, 154, 190, 742, 28, 622, 16, 80, 11, 0], [2, 2, 74, 146, 218, 686, 98, 566, 44, 72, 12, 0], [2, 2, 75, 138, 246, 630, 168, 510, 72, 64, 13, 0], [2, 2, 75, 139, 238, 658, 112, 580, 16, 92, 5, 1], [2, 2, 76, 130, 274, 574, 238, 454, 100, 56, 14, 0], [2, 2, 76, 131, 266, 602, 182, 524, 44, 84, 6, 1], [2, 2, 77, 122, 302, 518, 308, 398, 128, 48, 15, 0], [2, 2, 77, 123, 294, 546, 252, 468, 72, 76, 7, 1], [2, 2, 78, 114, 330, 462, 378, 342, 156, 40, 16, 0], [2, 2, 78, 115, 322, 490, 322, 412, 100, 68, 8, 1], [2, 2, 78, 116, 314, 518, 266, 482, 44, 96, 0, 2], [2, 2, 79, 106, 358, 406, 448, 286, 184, 32, 17, 0], [2, 2, 79, 107, 350, 434, 392, 356, 128, 60, 9, 1], [2, 2, 79, 108, 342, 462, 336, 426, 72, 88, 1, 2], [2, 2, 80, 98, 386, 350, 518, 230, 212, 24, 18, 0], [2, 2, 80, 99, 378, 378, 462, 300, 156, 52, 10, 1], [2, 2, 80, 100, 370, 406, 406, 370, 100, 80, 2, 2], [2, 2, 81, 90, 414, 294, 588, 174, 240, 16, 19, 0], [2, 2, 81, 91, 406, 322, 532, 244, 184, 44, 11, 1], [2, 2, 81, 92, 398, 350, 476, 314, 128, 72, 3, 2], [2, 2, 82, 82, 442, 238, 658, 118, 268, 8, 20, 0], [2, 2, 82, 83, 434, 266, 602, 188, 212, 36, 12, 1], [2, 2, 82, 84, 426, 294, 546, 258, 156, 64, 4, 2], [2, 2, 83, 74, 470, 182, 728, 62, 296, 0, 21, 0], [2, 2, 83, 75, 462, 210, 672, 132, 240, 28, 13, 1], [2, 2, 83, 76, 454, 238, 616, 202, 184, 56, 5, 2], [2, 2, 84, 67, 490, 154, 742, 76, 268, 20, 14, 1], [2, 2, 84, 68, 482, 182, 686, 146, 212, 48, 6, 2], [2, 2, 85, 59, 518, 98, 812, 20, 296, 12, 15, 1], [2, 2, 85, 60, 510, 126, 756, 90, 240, 40, 7, 2], [2, 2, 86, 52, 538, 70, 826, 34, 268, 32, 8, 2], [2, 2, 86, 53, 530, 98, 770, 104, 212, 60, 0, 3], [2, 2, 87, 45, 558, 42, 840, 48, 240, 52, 1, 3], [2, 3, 66, 174, 162, 756, 42, 594, 36, 73, 12, 0], [2, 3, 67, 166, 190, 700, 112, 538, 64, 65, 13, 0], [2, 3, 67, 167, 182, 728, 56, 608, 8, 93, 5, 1], [2, 3, 68, 158, 218, 644, 182, 482, 92, 57, 14, 0], [2, 3, 68, 159, 210, 672, 126, 552, 36, 85, 6, 1], [2, 3, 69, 150, 246, 588, 252, 426, 120, 49, 15, 0], [2, 3, 69, 151, 238, 616, 196, 496, 64, 77, 7, 1], [2, 3, 70, 142, 274, 532, 322, 370, 148, 41, 16, 0], [2, 3, 70, 143, 266, 560, 266, 440, 92, 69, 8, 1], [2, 3, 70, 144, 258, 588, 210, 510, 36, 97, 0, 2], [2, 3, 71, 134, 302, 476, 392, 314, 176, 33, 17, 0], [2, 3, 71, 135, 294, 504, 336, 384, 120, 61, 9, 1], [2, 3, 71, 136, 286, 532, 280, 454, 64, 89, 1, 2], [2, 3, 72, 126, 330, 420, 462, 258, 204, 25, 18, 0], [2, 3, 72, 127, 322, 448, 406, 328, 148, 53, 10, 1], [2, 3, 72, 128, 314, 476, 350, 398, 92, 81, 2, 2], [2, 3, 73, 118, 358, 364, 532, 202, 232, 17, 19, 0], [2, 3, 73, 119, 350, 392, 476, 272, 176, 45, 11, 1], [2, 3, 73, 120, 342, 420, 420, 342, 120, 73, 3, 2], [2, 3, 74, 110, 386, 308, 602, 146, 260, 9, 20, 0], [2, 3, 74, 111, 378, 336, 546, 216, 204, 37, 12, 1], [2, 3, 74, 112, 370, 364, 490, 286, 148, 65, 4, 2], [2, 3, 75, 102, 414, 252, 672, 90, 288, 1, 21, 0], [2, 3, 75, 103, 406, 280, 616, 160, 232, 29, 13, 1], [2, 3, 75, 104, 398, 308, 560, 230, 176, 57, 5, 2], [2, 3, 76, 95, 434, 224, 686, 104, 260, 21, 14, 1], [2, 3, 76, 96, 426, 252, 630, 174, 204, 49, 6, 2], [2, 3, 77, 87, 462, 168, 756, 48, 288, 13, 15, 1], [2, 3, 77, 88, 454, 196, 700, 118, 232, 41, 7, 2], [2, 3, 78, 80, 482, 140, 770, 62, 260, 33, 8, 2], [2, 3, 78, 81, 474, 168, 714, 132, 204, 61, 0, 3], [2, 3, 79, 72, 510, 84, 840, 6, 288, 25, 9, 2], [2, 3, 79, 73, 502, 112, 784, 76, 232, 53, 1, 3], [2, 3, 80, 65, 530, 56, 854, 20, 260, 45, 2, 3], [2, 4, 59, 194, 134, 770, 56, 566, 56, 66, 13, 0], [2, 4, 59, 195, 126, 798, 0, 636, 0, 94, 5, 1], [2, 4, 60, 186, 162, 714, 126, 510, 84, 58, 14, 0], [2, 4, 60, 187, 154, 742, 70, 580, 28, 86, 6, 1], [2, 4, 61, 178, 190, 658, 196, 454, 112, 50, 15, 0], [2, 4, 61, 179, 182, 686, 140, 524, 56, 78, 7, 1], [2, 4, 62, 170, 218, 602, 266, 398, 140, 42, 16, 0], [2, 4, 62, 171, 210, 630, 210, 468, 84, 70, 8, 1], [2, 4, 62, 172, 202, 658, 154, 538, 28, 98, 0, 2], [2, 4, 63, 162, 246, 546, 336, 342, 168, 34, 17, 0], [2, 4, 63, 163, 238, 574, 280, 412, 112, 62, 9, 1], [2, 4, 63, 164, 230, 602, 224, 482, 56, 90, 1, 2], [2, 4, 64, 154, 274, 490, 406, 286, 196, 26, 18, 0], [2, 4, 64, 155, 266, 518, 350, 356, 140, 54, 10, 1], [2, 4, 64, 156, 258, 546, 294, 426, 84, 82, 2, 2], [2, 4, 65, 146, 302, 434, 476, 230, 224, 18, 19, 0], [2, 4, 65, 147, 294, 462, 420, 300, 168, 46, 11, 1], [2, 4, 65, 148, 286, 490, 364, 370, 112, 74, 3, 2], [2, 4, 66, 138, 330, 378, 546, 174, 252, 10, 20, 0], [2, 4, 66, 139, 322, 406, 490, 244, 196, 38, 12, 1], [2, 4, 66, 140, 314, 434, 434, 314, 140, 66, 4, 2], [2, 4, 67, 130, 358, 322, 616, 118, 280, 2, 21, 0], [2, 4, 67, 131, 350, 350, 560, 188, 224, 30, 13, 1], [2, 4, 67, 132, 342, 378, 504, 258, 168, 58, 5, 2], [2, 4, 68, 123, 378, 294, 630, 132, 252, 22, 14, 1], [2, 4, 68, 124, 370, 322, 574, 202, 196, 50, 6, 2], [2, 4, 69, 115, 406, 238, 700, 76, 280, 14, 15, 1], [2, 4, 69, 116, 398, 266, 644, 146, 224, 42, 7, 2], [2, 4, 70, 107, 434, 182, 770, 20, 308, 6, 16, 1], [2, 4, 70, 108, 426, 210, 714, 90, 252, 34, 8, 2], [2, 4, 70, 109, 418, 238, 658, 160, 196, 62, 0, 3], [2, 4, 71, 100, 454, 154, 784, 34, 280, 26, 9, 2], [2, 4, 71, 101, 446, 182, 728, 104, 224, 54, 1, 3], [2, 4, 72, 93, 474, 126, 798, 48, 252, 46, 2, 3], [2, 5, 51, 222, 78, 840, 0, 594, 48, 67, 13, 0], [2, 5, 52, 214, 106, 784, 70, 538, 76, 59, 14, 0], [2, 5, 52, 215, 98, 812, 14, 608, 20, 87, 6, 1], [2, 5, 53, 206, 134, 728, 140, 482, 104, 51, 15, 0], [2, 5, 53, 207, 126, 756, 84, 552, 48, 79, 7, 1], [2, 5, 54, 198, 162, 672, 210, 426, 132, 43, 16, 0], [2, 5, 54, 199, 154, 700, 154, 496, 76, 71, 8, 1], [2, 5, 54, 200, 146, 728, 98, 566, 20, 99, 0, 2], [2, 5, 55, 190, 190, 616, 280, 370, 160, 35, 17, 0], [2, 5, 55, 191, 182, 644, 224, 440, 104, 63, 9, 1], [2, 5, 55, 192, 174, 672, 168, 510, 48, 91, 1, 2], [2, 5, 56, 182, 218, 560, 350, 314, 188, 27, 18, 0], [2, 5, 56, 183, 210, 588, 294, 384, 132, 55, 10, 1], [2, 5, 56, 184, 202, 616, 238, 454, 76, 83, 2, 2], [2, 5, 57, 174, 246, 504, 420, 258, 216, 19, 19, 0], [2, 5, 57, 175, 238, 532, 364, 328, 160, 47, 11, 1], [2, 5, 57, 176, 230, 560, 308, 398, 104, 75, 3, 2], [2, 5, 58, 166, 274, 448, 490, 202, 244, 11, 20, 0], [2, 5, 58, 167, 266, 476, 434, 272, 188, 39, 12, 1], [2, 5, 58, 168, 258, 504, 378, 342, 132, 67, 4, 2], [2, 5, 59, 158, 302, 392, 560, 146, 272, 3, 21, 0], [2, 5, 59, 159, 294, 420, 504, 216, 216, 31, 13, 1], [2, 5, 59, 160, 286, 448, 448, 286, 160, 59, 5, 2], [2, 5, 60, 151, 322, 364, 574, 160, 244, 23, 14, 1], [2, 5, 60, 152, 314, 392, 518, 230, 188, 51, 6, 2], [2, 5, 61, 143, 350, 308, 644, 104, 272, 15, 15, 1], [2, 5, 61, 144, 342, 336, 588, 174, 216, 43, 7, 2], [2, 5, 62, 135, 378, 252, 714, 48, 300, 7, 16, 1], [2, 5, 62, 136, 370, 280, 658, 118, 244, 35, 8, 2], [2, 5, 62, 137, 362, 308, 602, 188, 188, 63, 0, 3], [2, 5, 63, 128, 398, 224, 728, 62, 272, 27, 9, 2], [2, 5, 63, 129, 390, 252, 672, 132, 216, 55, 1, 3], [2, 5, 64, 120, 426, 168, 798, 6, 300, 19, 10, 2], [2, 5, 64, 121, 418, 196, 742, 76, 244, 47, 2, 3], [2, 5, 65, 113, 446, 140, 812, 20, 272, 39, 3, 3], [2, 6, 44, 242, 50, 854, 14, 566, 68, 60, 14, 0], [2, 6, 45, 234, 78, 798, 84, 510, 96, 52, 15, 0], [2, 6, 45, 235, 70, 826, 28, 580, 40, 80, 7, 1], [2, 6, 46, 226, 106, 742, 154, 454, 124, 44, 16, 0], [2, 6, 46, 227, 98, 770, 98, 524, 68, 72, 8, 1], [2, 6, 46, 228, 90, 798, 42, 594, 12, 100, 0, 2], [2, 6, 47, 218, 134, 686, 224, 398, 152, 36, 17, 0], [2, 6, 47, 219, 126, 714, 168, 468, 96, 64, 9, 1], [2, 6, 47, 220, 118, 742, 112, 538, 40, 92, 1, 2], [2, 6, 48, 210, 162, 630, 294, 342, 180, 28, 18, 0], [2, 6, 48, 211, 154, 658, 238, 412, 124, 56, 10, 1], [2, 6, 48, 212, 146, 686, 182, 482, 68, 84, 2, 2], [2, 6, 49, 202, 190, 574, 364, 286, 208, 20, 19, 0], [2, 6, 49, 203, 182, 602, 308, 356, 152, 48, 11, 1], [2, 6, 49, 204, 174, 630, 252, 426, 96, 76, 3, 2], [2, 6, 50, 194, 218, 518, 434, 230, 236, 12, 20, 0], [2, 6, 50, 195, 210, 546, 378, 300, 180, 40, 12, 1], [2, 6, 50, 196, 202, 574, 322, 370, 124, 68, 4, 2], [2, 6, 51, 186, 246, 462, 504, 174, 264, 4, 21, 0], [2, 6, 51, 187, 238, 490, 448, 244, 208, 32, 13, 1], [2, 6, 51, 188, 230, 518, 392, 314, 152, 60, 5, 2], [2, 6, 52, 179, 266, 434, 518, 188, 236, 24, 14, 1], [2, 6, 52, 180, 258, 462, 462, 258, 180, 52, 6, 2], [2, 6, 53, 171, 294, 378, 588, 132, 264, 16, 15, 1], [2, 6, 53, 172, 286, 406, 532, 202, 208, 44, 7, 2], [2, 6, 54, 163, 322, 322, 658, 76, 292, 8, 16, 1], [2, 6, 54, 164, 314, 350, 602, 146, 236, 36, 8, 2], [2, 6, 54, 165, 306, 378, 546, 216, 180, 64, 0, 3], [2, 6, 55, 155, 350, 266, 728, 20, 320, 0, 17, 1], [2, 6, 55, 156, 342, 294, 672, 90, 264, 28, 9, 2], [2, 6, 55, 157, 334, 322, 616, 160, 208, 56, 1, 3], [2, 6, 56, 148, 370, 238, 742, 34, 292, 20, 10, 2], [2, 6, 56, 149, 362, 266, 686, 104, 236, 48, 2, 3], [2, 6, 57, 141, 390, 210, 756, 48, 264, 40, 3, 3], [2, 7, 37, 262, 22, 868, 28, 538, 88, 53, 15, 0], [2, 7, 38, 254, 50, 812, 98, 482, 116, 45, 16, 0], [2, 7, 38, 255, 42, 840, 42, 552, 60, 73, 8, 1], [2, 7, 39, 246, 78, 756, 168, 426, 144, 37, 17, 0], [2, 7, 39, 247, 70, 784, 112, 496, 88, 65, 9, 1], [2, 7, 39, 248, 62, 812, 56, 566, 32, 93, 1, 2], [2, 7, 40, 238, 106, 700, 238, 370, 172, 29, 18, 0], [2, 7, 40, 239, 98, 728, 182, 440, 116, 57, 10, 1], [2, 7, 40, 240, 90, 756, 126, 510, 60, 85, 2, 2], [2, 7, 41, 230, 134, 644, 308, 314, 200, 21, 19, 0], [2, 7, 41, 231, 126, 672, 252, 384, 144, 49, 11, 1], [2, 7, 41, 232, 118, 700, 196, 454, 88, 77, 3, 2], [2, 7, 42, 222, 162, 588, 378, 258, 228, 13, 20, 0], [2, 7, 42, 223, 154, 616, 322, 328, 172, 41, 12, 1], [2, 7, 42, 224, 146, 644, 266, 398, 116, 69, 4, 2], [2, 7, 43, 214, 190, 532, 448, 202, 256, 5, 21, 0], [2, 7, 43, 215, 182, 560, 392, 272, 200, 33, 13, 1], [2, 7, 43, 216, 174, 588, 336, 342, 144, 61, 5, 2], [2, 7, 44, 207, 210, 504, 462, 216, 228, 25, 14, 1], [2, 7, 44, 208, 202, 532, 406, 286, 172, 53, 6, 2], [2, 7, 45, 199, 238, 448, 532, 160, 256, 17, 15, 1], [2, 7, 45, 200, 230, 476, 476, 230, 200, 45, 7, 2], [2, 7, 46, 191, 266, 392, 602, 104, 284, 9, 16, 1], [2, 7, 46, 192, 258, 420, 546, 174, 228, 37, 8, 2], [2, 7, 46, 193, 250, 448, 490, 244, 172, 65, 0, 3], [2, 7, 47, 183, 294, 336, 672, 48, 312, 1, 17, 1], [2, 7, 47, 184, 286, 364, 616, 118, 256, 29, 9, 2], [2, 7, 47, 185, 278, 392, 560, 188, 200, 57, 1, 3], [2, 7, 48, 176, 314, 308, 686, 62, 284, 21, 10, 2], [2, 7, 48, 177, 306, 336, 630, 132, 228, 49, 2, 3], [2, 7, 49, 168, 342, 252, 756, 6, 312, 13, 11, 2], [2, 7, 49, 169, 334, 280, 700, 76, 256, 41, 3, 3], [2, 7, 50, 161, 362, 224, 770, 20, 284, 33, 4, 3], [2, 8, 31, 274, 22, 826, 112, 454, 136, 38, 17, 0], [2, 8, 31, 275, 14, 854, 56, 524, 80, 66, 9, 1], [2, 8, 31, 276, 6, 882, 0, 594, 24, 94, 1, 2], [2, 8, 32, 266, 50, 770, 182, 398, 164, 30, 18, 0], [2, 8, 32, 267, 42, 798, 126, 468, 108, 58, 10, 1], [2, 8, 32, 268, 34, 826, 70, 538, 52, 86, 2, 2], [2, 8, 33, 258, 78, 714, 252, 342, 192, 22, 19, 0], [2, 8, 33, 259, 70, 742, 196, 412, 136, 50, 11, 1], [2, 8, 33, 260, 62, 770, 140, 482, 80, 78, 3, 2], [2, 8, 34, 250, 106, 658, 322, 286, 220, 14, 20, 0], [2, 8, 34, 251, 98, 686, 266, 356, 164, 42, 12, 1], [2, 8, 34, 252, 90, 714, 210, 426, 108, 70, 4, 2], [2, 8, 35, 242, 134, 602, 392, 230, 248, 6, 21, 0], [2, 8, 35, 243, 126, 630, 336, 300, 192, 34, 13, 1], [2, 8, 35, 244, 118, 658, 280, 370, 136, 62, 5, 2], [2, 8, 36, 235, 154, 574, 406, 244, 220, 26, 14, 1], [2, 8, 36, 236, 146, 602, 350, 314, 164, 54, 6, 2], [2, 8, 37, 227, 182, 518, 476, 188, 248, 18, 15, 1], [2, 8, 37, 228, 174, 546, 420, 258, 192, 46, 7, 2], [2, 8, 38, 219, 210, 462, 546, 132, 276, 10, 16, 1], [2, 8, 38, 220, 202, 490, 490, 202, 220, 38, 8, 2], [2, 8, 38, 221, 194, 518, 434, 272, 164, 66, 0, 3], [2, 8, 39, 211, 238, 406, 616, 76, 304, 2, 17, 1], [2, 8, 39, 212, 230, 434, 560, 146, 248, 30, 9, 2], [2, 8, 39, 213, 222, 462, 504, 216, 192, 58, 1, 3], [2, 8, 40, 204, 258, 378, 630, 90, 276, 22, 10, 2], [2, 8, 40, 205, 250, 406, 574, 160, 220, 50, 2, 3], [2, 8, 41, 196, 286, 322, 700, 34, 304, 14, 11, 2], [2, 8, 41, 197, 278, 350, 644, 104, 248, 42, 3, 3], [2, 8, 42, 189, 306, 294, 714, 48, 276, 34, 4, 3], [2, 9, 25, 286, 22, 784, 196, 370, 184, 23, 19, 0], [2, 9, 25, 287, 14, 812, 140, 440, 128, 51, 11, 1], [2, 9, 25, 288, 6, 840, 84, 510, 72, 79, 3, 2], [2, 9, 26, 278, 50, 728, 266, 314, 212, 15, 20, 0], [2, 9, 26, 279, 42, 756, 210, 384, 156, 43, 12, 1], [2, 9, 26, 280, 34, 784, 154, 454, 100, 71, 4, 2], [2, 9, 27, 270, 78, 672, 336, 258, 240, 7, 21, 0], [2, 9, 27, 271, 70, 700, 280, 328, 184, 35, 13, 1], [2, 9, 27, 272, 62, 728, 224, 398, 128, 63, 5, 2], [2, 9, 28, 263, 98, 644, 350, 272, 212, 27, 14, 1], [2, 9, 28, 264, 90, 672, 294, 342, 156, 55, 6, 2], [2, 9, 29, 255, 126, 588, 420, 216, 240, 19, 15, 1], [2, 9, 29, 256, 118, 616, 364, 286, 184, 47, 7, 2], [2, 9, 30, 247, 154, 532, 490, 160, 268, 11, 16, 1], [2, 9, 30, 248, 146, 560, 434, 230, 212, 39, 8, 2], [2, 9, 30, 249, 138, 588, 378, 300, 156, 67, 0, 3], [2, 9, 31, 239, 182, 476, 560, 104, 296, 3, 17, 1], [2, 9, 31, 240, 174, 504, 504, 174, 240, 31, 9, 2], [2, 9, 31, 241, 166, 532, 448, 244, 184, 59, 1, 3], [2, 9, 32, 232, 202, 448, 574, 118, 268, 23, 10, 2], [2, 9, 32, 233, 194, 476, 518, 188, 212, 51, 2, 3], [2, 9, 33, 224, 230, 392, 644, 62, 296, 15, 11, 2], [2, 9, 33, 225, 222, 420, 588, 132, 240, 43, 3, 3], [2, 9, 34, 216, 258, 336, 714, 6, 324, 7, 12, 2], [2, 9, 34, 217, 250, 364, 658, 76, 268, 35, 4, 3], [2, 9, 35, 209, 278, 308, 728, 20, 296, 27, 5, 3], [2, 10, 19, 298, 22, 742, 280, 286, 232, 8, 21, 0], [2, 10, 19, 299, 14, 770, 224, 356, 176, 36, 13, 1], [2, 10, 19, 300, 6, 798, 168, 426, 120, 64, 5, 2], [2, 10, 20, 290, 50, 686, 350, 230, 260, 0, 22, 0], [2, 10, 20, 291, 42, 714, 294, 300, 204, 28, 14, 1], [2, 10, 20, 292, 34, 742, 238, 370, 148, 56, 6, 2], [2, 10, 21, 283, 70, 658, 364, 244, 232, 20, 15, 1], [2, 10, 21, 284, 62, 686, 308, 314, 176, 48, 7, 2], [2, 10, 22, 275, 98, 602, 434, 188, 260, 12, 16, 1], [2, 10, 22, 276, 90, 630, 378, 258, 204, 40, 8, 2], [2, 10, 22, 277, 82, 658, 322, 328, 148, 68, 0, 3], [2, 10, 23, 267, 126, 546, 504, 132, 288, 4, 17, 1], [2, 10, 23, 268, 118, 574, 448, 202, 232, 32, 9, 2], [2, 10, 23, 269, 110, 602, 392, 272, 176, 60, 1, 3], [2, 10, 24, 260, 146, 518, 518, 146, 260, 24, 10, 2], [2, 10, 24, 261, 138, 546, 462, 216, 204, 52, 2, 3], [2, 10, 25, 252, 174, 462, 588, 90, 288, 16, 11, 2], [2, 10, 25, 253, 166, 490, 532, 160, 232, 44, 3, 3], [2, 10, 26, 244, 202, 406, 658, 34, 316, 8, 12, 2], [2, 10, 26, 245, 194, 434, 602, 104, 260, 36, 4, 3], [2, 10, 27, 237, 222, 378, 672, 48, 288, 28, 5, 3], [2, 11, 13, 311, 14, 728, 308, 272, 224, 21, 15, 1], [2, 11, 13, 312, 6, 756, 252, 342, 168, 49, 7, 2], [2, 11, 14, 303, 42, 672, 378, 216, 252, 13, 16, 1], [2, 11, 14, 304, 34, 700, 322, 286, 196, 41, 8, 2], [2, 11, 14, 305, 26, 728, 266, 356, 140, 69, 0, 3], [2, 11, 15, 295, 70, 616, 448, 160, 280, 5, 17, 1], [2, 11, 15, 296, 62, 644, 392, 230, 224, 33, 9, 2], [2, 11, 15, 297, 54, 672, 336, 300, 168, 61, 1, 3], [2, 11, 16, 288, 90, 588, 462, 174, 252, 25, 10, 2], [2, 11, 16, 289, 82, 616, 406, 244, 196, 53, 2, 3], [2, 11, 17, 280, 118, 532, 532, 118, 280, 17, 11, 2], [2, 11, 17, 281, 110, 560, 476, 188, 224, 45, 3, 3], [2, 11, 18, 272, 146, 476, 602, 62, 308, 9, 12, 2], [2, 11, 18, 273, 138, 504, 546, 132, 252, 37, 4, 3], [2, 11, 19, 264, 174, 420, 672, 6, 336, 1, 13, 2], [2, 11, 19, 265, 166, 448, 616, 76, 280, 29, 5, 3], [2, 11, 20, 257, 194, 392, 686, 20, 308, 21, 6, 3], [2, 12, 7, 323, 14, 686, 392, 188, 272, 6, 17, 1], [2, 12, 7, 324, 6, 714, 336, 258, 216, 34, 9, 2], [2, 12, 8, 316, 34, 658, 406, 202, 244, 26, 10, 2], [2, 12, 8, 317, 26, 686, 350, 272, 188, 54, 2, 3], [2, 12, 9, 308, 62, 602, 476, 146, 272, 18, 11, 2], [2, 12, 9, 309, 54, 630, 420, 216, 216, 46, 3, 3], [2, 12, 10, 300, 90, 546, 546, 90, 300, 10, 12, 2], [2, 12, 10, 301, 82, 574, 490, 160, 244, 38, 4, 3], [2, 12, 11, 292, 118, 490, 616, 34, 328, 2, 13, 2], [2, 12, 11, 293, 110, 518, 560, 104, 272, 30, 5, 3], [2, 12, 12, 285, 138, 462, 630, 48, 300, 22, 6, 3], [2, 12, 14, 270, 186, 378, 714, 6, 300, 34, 0, 4], [2, 13, 1, 336, 6, 672, 420, 174, 264, 19, 11, 2], [2, 13, 2, 328, 34, 616, 490, 118, 292, 11, 12, 2], [2, 13, 2, 329, 26, 644, 434, 188, 236, 39, 4, 3], [2, 13, 3, 320, 62, 560, 560, 62, 320, 3, 13, 2], [2, 13, 3, 321, 54, 588, 504, 132, 264, 31, 5, 3], [2, 13, 4, 313, 82, 532, 574, 76, 292, 23, 6, 3], [2, 13, 5, 305, 110, 476, 644, 20, 320, 15, 7, 3], [2, 13, 6, 298, 130, 448, 658, 34, 292, 35, 0, 4], [3, 0, 57, 234, 36, 882, 0, 558, 81, 54, 15, 0], [3, 0, 58, 226, 64, 826, 70, 502, 109, 46, 16, 0], [3, 0, 58, 227, 56, 854, 14, 572, 53, 74, 8, 1], [3, 0, 59, 218, 92, 770, 140, 446, 137, 38, 17, 0], [3, 0, 59, 219, 84, 798, 84, 516, 81, 66, 9, 1], [3, 0, 59, 220, 76, 826, 28, 586, 25, 94, 1, 2], [3, 0, 60, 210, 120, 714, 210, 390, 165, 30, 18, 0], [3, 0, 60, 211, 112, 742, 154, 460, 109, 58, 10, 1], [3, 0, 60, 212, 104, 770, 98, 530, 53, 86, 2, 2], [3, 0, 61, 202, 148, 658, 280, 334, 193, 22, 19, 0], [3, 0, 61, 203, 140, 686, 224, 404, 137, 50, 11, 1], [3, 0, 61, 204, 132, 714, 168, 474, 81, 78, 3, 2], [3, 0, 62, 194, 176, 602, 350, 278, 221, 14, 20, 0], [3, 0, 62, 195, 168, 630, 294, 348, 165, 42, 12, 1], [3, 0, 62, 196, 160, 658, 238, 418, 109, 70, 4, 2], [3, 0, 63, 186, 204, 546, 420, 222, 249, 6, 21, 0], [3, 0, 63, 187, 196, 574, 364, 292, 193, 34, 13, 1], [3, 0, 63, 188, 188, 602, 308, 362, 137, 62, 5, 2], [3, 0, 64, 179, 224, 518, 434, 236, 221, 26, 14, 1], [3, 0, 64, 180, 216, 546, 378, 306, 165, 54, 6, 2], [3, 0, 65, 171, 252, 462, 504, 180, 249, 18, 15, 1], [3, 0, 65, 172, 244, 490, 448, 250, 193, 46, 7, 2], [3, 0, 66, 163, 280, 406, 574, 124, 277, 10, 16, 1], [3, 0, 66, 164, 272, 434, 518, 194, 221, 38, 8, 2], [3, 0, 66, 165, 264, 462, 462, 264, 165, 66, 0, 3], [3, 0, 67, 155, 308, 350, 644, 68, 305, 2, 17, 1], [3, 0, 67, 156, 300, 378, 588, 138, 249, 30, 9, 2], [3, 0, 67, 157, 292, 406, 532, 208, 193, 58, 1, 3], [3, 0, 68, 148, 328, 322, 658, 82, 277, 22, 10, 2], [3, 0, 68, 149, 320, 350, 602, 152, 221, 50, 2, 3], [3, 0, 69, 140, 356, 266, 728, 26, 305, 14, 11, 2], [3, 0, 69, 141, 348, 294, 672, 96, 249, 42, 3, 3], [3, 0, 70, 133, 376, 238, 742, 40, 277, 34, 4, 3], [3, 1, 50, 254, 8, 896, 14, 530, 101, 47, 16, 0], [3, 1, 51, 246, 36, 840, 84, 474, 129, 39, 17, 0], [3, 1, 51, 247, 28, 868, 28, 544, 73, 67, 9, 1], [3, 1, 52, 238, 64, 784, 154, 418, 157, 31, 18, 0], [3, 1, 52, 239, 56, 812, 98, 488, 101, 59, 10, 1], [3, 1, 52, 240, 48, 840, 42, 558, 45, 87, 2, 2], [3, 1, 53, 230, 92, 728, 224, 362, 185, 23, 19, 0], [3, 1, 53, 231, 84, 756, 168, 432, 129, 51, 11, 1], [3, 1, 53, 232, 76, 784, 112, 502, 73, 79, 3, 2], [3, 1, 54, 222, 120, 672, 294, 306, 213, 15, 20, 0], [3, 1, 54, 223, 112, 700, 238, 376, 157, 43, 12, 1], [3, 1, 54, 224, 104, 728, 182, 446, 101, 71, 4, 2], [3, 1, 55, 214, 148, 616, 364, 250, 241, 7, 21, 0], [3, 1, 55, 215, 140, 644, 308, 320, 185, 35, 13, 1], [3, 1, 55, 216, 132, 672, 252, 390, 129, 63, 5, 2], [3, 1, 56, 207, 168, 588, 378, 264, 213, 27, 14, 1], [3, 1, 56, 208, 160, 616, 322, 334, 157, 55, 6, 2], [3, 1, 57, 199, 196, 532, 448, 208, 241, 19, 15, 1], [3, 1, 57, 200, 188, 560, 392, 278, 185, 47, 7, 2], [3, 1, 58, 191, 224, 476, 518, 152, 269, 11, 16, 1], [3, 1, 58, 192, 216, 504, 462, 222, 213, 39, 8, 2], [3, 1, 58, 193, 208, 532, 406, 292, 157, 67, 0, 3], [3, 1, 59, 183, 252, 420, 588, 96, 297, 3, 17, 1], [3, 1, 59, 184, 244, 448, 532, 166, 241, 31, 9, 2], [3, 1, 59, 185, 236, 476, 476, 236, 185, 59, 1, 3], [3, 1, 60, 176, 272, 392, 602, 110, 269, 23, 10, 2], [3, 1, 60, 177, 264, 420, 546, 180, 213, 51, 2, 3], [3, 1, 61, 168, 300, 336, 672, 54, 297, 15, 11, 2], [3, 1, 61, 169, 292, 364, 616, 124, 241, 43, 3, 3], [3, 1, 62, 161, 320, 308, 686, 68, 269, 35, 4, 3], [3, 1, 63, 153, 348, 252, 756, 12, 297, 27, 5, 3], [3, 2, 44, 266, 8, 854, 98, 446, 149, 32, 18, 0], [3, 2, 44, 267, 0, 882, 42, 516, 93, 60, 10, 1], [3, 2, 45, 258, 36, 798, 168, 390, 177, 24, 19, 0], [3, 2, 45, 259, 28, 826, 112, 460, 121, 52, 11, 1], [3, 2, 45, 260, 20, 854, 56, 530, 65, 80, 3, 2], [3, 2, 46, 250, 64, 742, 238, 334, 205, 16, 20, 0], [3, 2, 46, 251, 56, 770, 182, 404, 149, 44, 12, 1], [3, 2, 46, 252, 48, 798, 126, 474, 93, 72, 4, 2], [3, 2, 47, 242, 92, 686, 308, 278, 233, 8, 21, 0], [3, 2, 47, 243, 84, 714, 252, 348, 177, 36, 13, 1], [3, 2, 47, 244, 76, 742, 196, 418, 121, 64, 5, 2], [3, 2, 48, 234, 120, 630, 378, 222, 261, 0, 22, 0], [3, 2, 48, 235, 112, 658, 322, 292, 205, 28, 14, 1], [3, 2, 48, 236, 104, 686, 266, 362, 149, 56, 6, 2], [3, 2, 49, 227, 140, 602, 392, 236, 233, 20, 15, 1], [3, 2, 49, 228, 132, 630, 336, 306, 177, 48, 7, 2], [3, 2, 50, 219, 168, 546, 462, 180, 261, 12, 16, 1], [3, 2, 50, 220, 160, 574, 406, 250, 205, 40, 8, 2], [3, 2, 50, 221, 152, 602, 350, 320, 149, 68, 0, 3], [3, 2, 51, 211, 196, 490, 532, 124, 289, 4, 17, 1], [3, 2, 51, 212, 188, 518, 476, 194, 233, 32, 9, 2], [3, 2, 51, 213, 180, 546, 420, 264, 177, 60, 1, 3], [3, 2, 52, 204, 216, 462, 546, 138, 261, 24, 10, 2], [3, 2, 52, 205, 208, 490, 490, 208, 205, 52, 2, 3], [3, 2, 53, 196, 244, 406, 616, 82, 289, 16, 11, 2], [3, 2, 53, 197, 236, 434, 560, 152, 233, 44, 3, 3], [3, 2, 54, 188, 272, 350, 686, 26, 317, 8, 12, 2], [3, 2, 54, 189, 264, 378, 630, 96, 261, 36, 4, 3], [3, 2, 55, 181, 292, 322, 700, 40, 289, 28, 5, 3], [3, 3, 38, 278, 8, 812, 182, 362, 197, 17, 20, 0], [3, 3, 38, 279, 0, 840, 126, 432, 141, 45, 12, 1], [3, 3, 39, 270, 36, 756, 252, 306, 225, 9, 21, 0], [3, 3, 39, 271, 28, 784, 196, 376, 169, 37, 13, 1], [3, 3, 39, 272, 20, 812, 140, 446, 113, 65, 5, 2], [3, 3, 40, 262, 64, 700, 322, 250, 253, 1, 22, 0], [3, 3, 40, 263, 56, 728, 266, 320, 197, 29, 14, 1], [3, 3, 40, 264, 48, 756, 210, 390, 141, 57, 6, 2], [3, 3, 41, 255, 84, 672, 336, 264, 225, 21, 15, 1], [3, 3, 41, 256, 76, 700, 280, 334, 169, 49, 7, 2], [3, 3, 42, 247, 112, 616, 406, 208, 253, 13, 16, 1], [3, 3, 42, 248, 104, 644, 350, 278, 197, 41, 8, 2], [3, 3, 42, 249, 96, 672, 294, 348, 141, 69, 0, 3], [3, 3, 43, 239, 140, 560, 476, 152, 281, 5, 17, 1], [3, 3, 43, 240, 132, 588, 420, 222, 225, 33, 9, 2], [3, 3, 43, 241, 124, 616, 364, 292, 169, 61, 1, 3], [3, 3, 44, 232, 160, 532, 490, 166, 253, 25, 10, 2], [3, 3, 44, 233, 152, 560, 434, 236, 197, 53, 2, 3], [3, 3, 45, 224, 188, 476, 560, 110, 281, 17, 11, 2], [3, 3, 45, 225, 180, 504, 504, 180, 225, 45, 3, 3], [3, 3, 46, 216, 216, 420, 630, 54, 309, 9, 12, 2], [3, 3, 46, 217, 208, 448, 574, 124, 253, 37, 4, 3], [3, 3, 47, 209, 236, 392, 644, 68, 281, 29, 5, 3], [3, 3, 48, 201, 264, 336, 714, 12, 309, 21, 6, 3], [3, 4, 32, 290, 8, 770, 266, 278, 245, 2, 22, 0], [3, 4, 32, 291, 0, 798, 210, 348, 189, 30, 14, 1], [3, 4, 33, 283, 28, 742, 280, 292, 217, 22, 15, 1], [3, 4, 33, 284, 20, 770, 224, 362, 161, 50, 7, 2], [3, 4, 34, 275, 56, 686, 350, 236, 245, 14, 16, 1], [3, 4, 34, 276, 48, 714, 294, 306, 189, 42, 8, 2], [3, 4, 34, 277, 40, 742, 238, 376, 133, 70, 0, 3], [3, 4, 35, 267, 84, 630, 420, 180, 273, 6, 17, 1], [3, 4, 35, 268, 76, 658, 364, 250, 217, 34, 9, 2], [3, 4, 35, 269, 68, 686, 308, 320, 161, 62, 1, 3], [3, 4, 36, 260, 104, 602, 434, 194, 245, 26, 10, 2], [3, 4, 36, 261, 96, 630, 378, 264, 189, 54, 2, 3], [3, 4, 37, 252, 132, 546, 504, 138, 273, 18, 11, 2], [3, 4, 37, 253, 124, 574, 448, 208, 217, 46, 3, 3], [3, 4, 38, 244, 160, 490, 574, 82, 301, 10, 12, 2], [3, 4, 38, 245, 152, 518, 518, 152, 245, 38, 4, 3], [3, 4, 39, 236, 188, 434, 644, 26, 329, 2, 13, 2], [3, 4, 39, 237, 180, 462, 588, 96, 273, 30, 5, 3], [3, 4, 40, 229, 208, 406, 658, 40, 301, 22, 6, 3], [3, 5, 26, 303, 0, 756, 294, 264, 237, 15, 16, 1], [3, 5, 27, 295, 28, 700, 364, 208, 265, 7, 17, 1], [3, 5, 27, 296, 20, 728, 308, 278, 209, 35, 9, 2], [3, 5, 27, 297, 12, 756, 252, 348, 153, 63, 1, 3], [3, 5, 28, 288, 48, 672, 378, 222, 237, 27, 10, 2], [3, 5, 28, 289, 40, 700, 322, 292, 181, 55, 2, 3], [3, 5, 29, 280, 76, 616, 448, 166, 265, 19, 11, 2], [3, 5, 29, 281, 68, 644, 392, 236, 209, 47, 3, 3], [3, 5, 30, 272, 104, 560, 518, 110, 293, 11, 12, 2], [3, 5, 30, 273, 96, 588, 462, 180, 237, 39, 4, 3], [3, 5, 31, 264, 132, 504, 588, 54, 321, 3, 13, 2], [3, 5, 31, 265, 124, 532, 532, 124, 265, 31, 5, 3], [3, 5, 32, 257, 152, 476, 602, 68, 293, 23, 6, 3], [3, 5, 33, 249, 180, 420, 672, 12, 321, 15, 7, 3], [3, 5, 34, 242, 200, 392, 686, 26, 293, 35, 0, 4], [3, 6, 20, 315, 0, 714, 378, 180, 285, 0, 18, 1], [3, 6, 21, 308, 20, 686, 392, 194, 257, 20, 11, 2], [3, 6, 21, 309, 12, 714, 336, 264, 201, 48, 3, 3], [3, 6, 22, 300, 48, 630, 462, 138, 285, 12, 12, 2], [3, 6, 22, 301, 40, 658, 406, 208, 229, 40, 4, 3], [3, 6, 23, 292, 76, 574, 532, 82, 313, 4, 13, 2], [3, 6, 23, 293, 68, 602, 476, 152, 257, 32, 5, 3], [3, 6, 24, 285, 96, 546, 546, 96, 285, 24, 6, 3], [3, 6, 25, 277, 124, 490, 616, 40, 313, 16, 7, 3], [3, 6, 26, 270, 144, 462, 630, 54, 285, 36, 0, 4], [3, 7, 15, 320, 20, 644, 476, 110, 305, 5, 13, 2], [3, 7, 15, 321, 12, 672, 420, 180, 249, 33, 5, 3], [3, 7, 16, 313, 40, 616, 490, 124, 277, 25, 6, 3], [3, 7, 17, 305, 68, 560, 560, 68, 305, 17, 7, 3], [3, 7, 18, 297, 96, 504, 630, 12, 333, 9, 8, 3], [3, 7, 18, 298, 88, 532, 574, 82, 277, 37, 0, 4], [3, 7, 19, 290, 116, 476, 644, 26, 305, 29, 1, 4], [3, 8, 9, 333, 12, 630, 504, 96, 297, 18, 7, 3], [3, 8, 10, 325, 40, 574, 574, 40, 325, 10, 8, 3], [3, 8, 10, 326, 32, 602, 518, 110, 269, 38, 0, 4], [3, 8, 11, 318, 60, 546, 588, 54, 297, 30, 1, 4], [3, 9, 3, 345, 12, 588, 588, 12, 345, 3, 9, 3], [3, 9, 3, 346, 4, 616, 532, 82, 289, 31, 1, 4], [3, 9, 4, 338, 32, 560, 602, 26, 317, 23, 2, 4], [4, 0, 34, 300, 6, 714, 378, 186, 270, 14, 12, 2], [4, 0, 35, 292, 34, 658, 448, 130, 298, 6, 13, 2], [4, 0, 35, 293, 26, 686, 392, 200, 242, 34, 5, 3], [4, 0, 36, 285, 54, 630, 462, 144, 270, 26, 6, 3], [4, 0, 37, 277, 82, 574, 532, 88, 298, 18, 7, 3], [4, 0, 38, 269, 110, 518, 602, 32, 326, 10, 8, 3], [4, 0, 38, 270, 102, 546, 546, 102, 270, 38, 0, 4], [4, 0, 39, 262, 130, 490, 616, 46, 298, 30, 1, 4], [4, 1, 29, 305, 26, 644, 476, 116, 290, 19, 7, 3], [4, 1, 30, 297, 54, 588, 546, 60, 318, 11, 8, 3], [4, 1, 30, 298, 46, 616, 490, 130, 262, 39, 0, 4], [4, 1, 31, 289, 82, 532, 616, 4, 346, 3, 9, 3], [4, 1, 31, 290, 74, 560, 560, 74, 290, 31, 1, 4], [4, 1, 32, 282, 102, 504, 630, 18, 318, 23, 2, 4], [4, 2, 23, 317, 26, 602, 560, 32, 338, 4, 9, 3], [4, 2, 23, 318, 18, 630, 504, 102, 282, 32, 1, 4], [4, 2, 24, 310, 46, 574, 574, 46, 310, 24, 2, 4], [4, 3, 17, 330, 18, 588, 588, 18, 330, 17, 3, 4]}
(12, 1920, 7) has 2912 possible DDs: {[1, 0, 43, 137, 26, 788, 14, 542, 293, 4, 71, 1, 0], [1, 0, 44, 130, 46, 760, 28, 556, 265, 24, 64, 2, 0], [1, 0, 45, 122, 74, 704, 98, 500, 293, 16, 65, 2, 0], [1, 0, 45, 123, 66, 732, 42, 570, 237, 44, 57, 3, 0], [1, 0, 46, 114, 102, 648, 168, 444, 321, 8, 66, 2, 0], [1, 0, 46, 115, 94, 676, 112, 514, 265, 36, 58, 3, 0], [1, 0, 46, 116, 86, 704, 56, 584, 209, 64, 50, 4, 0], [1, 0, 46, 117, 78, 732, 0, 654, 153, 92, 42, 5, 0], [1, 0, 47, 106, 130, 592, 238, 388, 349, 0, 67, 2, 0], [1, 0, 47, 107, 122, 620, 182, 458, 293, 28, 59, 3, 0], [1, 0, 47, 108, 114, 648, 126, 528, 237, 56, 51, 4, 0], [1, 0, 47, 109, 106, 676, 70, 598, 181, 84, 43, 5, 0], [1, 0, 47, 110, 98, 704, 14, 668, 125, 112, 35, 6, 0], [1, 0, 48, 99, 150, 564, 252, 402, 321, 20, 60, 3, 0], [1, 0, 48, 100, 142, 592, 196, 472, 265, 48, 52, 4, 0], [1, 0, 48, 101, 134, 620, 140, 542, 209, 76, 44, 5, 0], [1, 0, 48, 102, 126, 648, 84, 612, 153, 104, 36, 6, 0], [1, 0, 48, 103, 118, 676, 28, 682, 97, 132, 28, 7, 0], [1, 0, 48, 104, 111, 696, 0, 696, 111, 104, 48, 0, 1], [1, 0, 49, 91, 178, 508, 322, 346, 349, 12, 61, 3, 0], [1, 0, 49, 92, 170, 536, 266, 416, 293, 40, 53, 4, 0], [1, 0, 49, 93, 162, 564, 210, 486, 237, 68, 45, 5, 0], [1, 0, 49, 94, 154, 592, 154, 556, 181, 96, 37, 6, 0], [1, 0, 49, 95, 146, 620, 98, 626, 125, 124, 29, 7, 0], [1, 0, 49, 96, 138, 648, 42, 696, 69, 152, 21, 8, 0], [1, 0, 49, 96, 139, 640, 70, 640, 139, 96, 49, 0, 1], [1, 0, 49, 97, 131, 668, 14, 710, 83, 124, 41, 1, 1], [1, 0, 50, 83, 206, 452, 392, 290, 377, 4, 62, 3, 0], [1, 0, 50, 84, 198, 480, 336, 360, 321, 32, 54, 4, 0], [1, 0, 50, 85, 190, 508, 280, 430, 265, 60, 46, 5, 0], [1, 0, 50, 86, 182, 536, 224, 500, 209, 88, 38, 6, 0], [1, 0, 50, 87, 174, 564, 168, 570, 153, 116, 30, 7, 0], [1, 0, 50, 88, 166, 592, 112, 640, 97, 144, 22, 8, 0], [1, 0, 50, 88, 167, 584, 140, 584, 167, 88, 50, 0, 1], [1, 0, 50, 89, 158, 620, 56, 710, 41, 172, 14, 9, 0], [1, 0, 50, 89, 159, 612, 84, 654, 111, 116, 42, 1, 1], [1, 0, 50, 90, 151, 640, 28, 724, 55, 144, 34, 2, 1], [1, 0, 51, 76, 226, 424, 406, 304, 349, 24, 55, 4, 0], [1, 0, 51, 77, 218, 452, 350, 374, 293, 52, 47, 5, 0], [1, 0, 51, 78, 210, 480, 294, 444, 237, 80, 39, 6, 0], [1, 0, 51, 79, 202, 508, 238, 514, 181, 108, 31, 7, 0], [1, 0, 51, 80, 194, 536, 182, 584, 125, 136, 23, 8, 0], [1, 0, 51, 80, 195, 528, 210, 528, 195, 80, 51, 0, 1], [1, 0, 51, 81, 186, 564, 126, 654, 69, 164, 15, 9, 0], [1, 0, 51, 81, 187, 556, 154, 598, 139, 108, 43, 1, 1], [1, 0, 51, 82, 178, 592, 70, 724, 13, 192, 7, 10, 0], [1, 0, 51, 82, 179, 584, 98, 668, 83, 136, 35, 2, 1], [1, 0, 51, 83, 171, 612, 42, 738, 27, 164, 27, 3, 1], [1, 0, 52, 68, 254, 368, 476, 248, 377, 16, 56, 4, 0], [1, 0, 52, 69, 246, 396, 420, 318, 321, 44, 48, 5, 0], [1, 0, 52, 70, 238, 424, 364, 388, 265, 72, 40, 6, 0], [1, 0, 52, 71, 230, 452, 308, 458, 209, 100, 32, 7, 0], [1, 0, 52, 72, 222, 480, 252, 528, 153, 128, 24, 8, 0], [1, 0, 52, 72, 223, 472, 280, 472, 223, 72, 52, 0, 1], [1, 0, 52, 73, 214, 508, 196, 598, 97, 156, 16, 9, 0], [1, 0, 52, 73, 215, 500, 224, 542, 167, 100, 44, 1, 1], [1, 0, 52, 74, 206, 536, 140, 668, 41, 184, 8, 10, 0], [1, 0, 52, 74, 207, 528, 168, 612, 111, 128, 36, 2, 1], [1, 0, 52, 75, 199, 556, 112, 682, 55, 156, 28, 3, 1], [1, 0, 53, 60, 282, 312, 546, 192, 405, 8, 57, 4, 0], [1, 0, 53, 61, 274, 340, 490, 262, 349, 36, 49, 5, 0], [1, 0, 53, 62, 266, 368, 434, 332, 293, 64, 41, 6, 0], [1, 0, 53, 63, 258, 396, 378, 402, 237, 92, 33, 7, 0], [1, 0, 53, 64, 250, 424, 322, 472, 181, 120, 25, 8, 0], [1, 0, 53, 64, 251, 416, 350, 416, 251, 64, 53, 0, 1], [1, 0, 53, 65, 242, 452, 266, 542, 125, 148, 17, 9, 0], [1, 0, 53, 65, 243, 444, 294, 486, 195, 92, 45, 1, 1], [1, 0, 53, 66, 234, 480, 210, 612, 69, 176, 9, 10, 0], [1, 0, 53, 66, 235, 472, 238, 556, 139, 120, 37, 2, 1], [1, 0, 53, 67, 226, 508, 154, 682, 13, 204, 1, 11, 0], [1, 0, 53, 67, 227, 500, 182, 626, 83, 148, 29, 3, 1], [1, 0, 53, 68, 219, 528, 126, 696, 27, 176, 21, 4, 1], [1, 0, 54, 52, 310, 256, 616, 136, 433, 0, 58, 4, 0], [1, 0, 54, 53, 302, 284, 560, 206, 377, 28, 50, 5, 0], [1, 0, 54, 54, 294, 312, 504, 276, 321, 56, 42, 6, 0], [1, 0, 54, 55, 286, 340, 448, 346, 265, 84, 34, 7, 0], [1, 0, 54, 56, 278, 368, 392, 416, 209, 112, 26, 8, 0], [1, 0, 54, 56, 279, 360, 420, 360, 279, 56, 54, 0, 1], [1, 0, 54, 57, 270, 396, 336, 486, 153, 140, 18, 9, 0], [1, 0, 54, 57, 271, 388, 364, 430, 223, 84, 46, 1, 1], [1, 0, 54, 58, 262, 424, 280, 556, 97, 168, 10, 10, 0], [1, 0, 54, 58, 263, 416, 308, 500, 167, 112, 38, 2, 1], [1, 0, 54, 59, 254, 452, 224, 626, 41, 196, 2, 11, 0], [1, 0, 54, 59, 255, 444, 252, 570, 111, 140, 30, 3, 1], [1, 0, 54, 60, 247, 472, 196, 640, 55, 168, 22, 4, 1], [1, 0, 55, 45, 330, 228, 630, 150, 405, 20, 51, 5, 0], [1, 0, 55, 46, 322, 256, 574, 220, 349, 48, 43, 6, 0], [1, 0, 55, 47, 314, 284, 518, 290, 293, 76, 35, 7, 0], [1, 0, 55, 48, 306, 312, 462, 360, 237, 104, 27, 8, 0], [1, 0, 55, 48, 307, 304, 490, 304, 307, 48, 55, 0, 1], [1, 0, 55, 49, 298, 340, 406, 430, 181, 132, 19, 9, 0], [1, 0, 55, 49, 299, 332, 434, 374, 251, 76, 47, 1, 1], [1, 0, 55, 50, 290, 368, 350, 500, 125, 160, 11, 10, 0], [1, 0, 55, 50, 291, 360, 378, 444, 195, 104, 39, 2, 1], [1, 0, 55, 51, 282, 396, 294, 570, 69, 188, 3, 11, 0], [1, 0, 55, 51, 283, 388, 322, 514, 139, 132, 31, 3, 1], [1, 0, 55, 52, 275, 416, 266, 584, 83, 160, 23, 4, 1], [1, 0, 55, 53, 267, 444, 210, 654, 27, 188, 15, 5, 1], [1, 0, 56, 37, 358, 172, 700, 94, 433, 12, 52, 5, 0], [1, 0, 56, 38, 350, 200, 644, 164, 377, 40, 44, 6, 0], [1, 0, 56, 39, 342, 228, 588, 234, 321, 68, 36, 7, 0], [1, 0, 56, 40, 334, 256, 532, 304, 265, 96, 28, 8, 0], [1, 0, 56, 40, 335, 248, 560, 248, 335, 40, 56, 0, 1], [1, 0, 56, 41, 326, 284, 476, 374, 209, 124, 20, 9, 0], [1, 0, 56, 41, 327, 276, 504, 318, 279, 68, 48, 1, 1], [1, 0, 56, 42, 318, 312, 420, 444, 153, 152, 12, 10, 0], [1, 0, 56, 42, 319, 304, 448, 388, 223, 96, 40, 2, 1], [1, 0, 56, 43, 310, 340, 364, 514, 97, 180, 4, 11, 0], [1, 0, 56, 43, 311, 332, 392, 458, 167, 124, 32, 3, 1], [1, 0, 56, 44, 303, 360, 336, 528, 111, 152, 24, 4, 1], [1, 0, 56, 45, 295, 388, 280, 598, 55, 180, 16, 5, 1], [1, 0, 57, 29, 386, 116, 770, 38, 461, 4, 53, 5, 0], [1, 0, 57, 30, 378, 144, 714, 108, 405, 32, 45, 6, 0], [1, 0, 57, 31, 370, 172, 658, 178, 349, 60, 37, 7, 0], [1, 0, 57, 32, 362, 200, 602, 248, 293, 88, 29, 8, 0], [1, 0, 57, 32, 363, 192, 630, 192, 363, 32, 57, 0, 1], [1, 0, 57, 33, 354, 228, 546, 318, 237, 116, 21, 9, 0], [1, 0, 57, 33, 355, 220, 574, 262, 307, 60, 49, 1, 1], [1, 0, 57, 34, 346, 256, 490, 388, 181, 144, 13, 10, 0], [1, 0, 57, 34, 347, 248, 518, 332, 251, 88, 41, 2, 1], [1, 0, 57, 35, 338, 284, 434, 458, 125, 172, 5, 11, 0], [1, 0, 57, 35, 339, 276, 462, 402, 195, 116, 33, 3, 1], [1, 0, 57, 36, 331, 304, 406, 472, 139, 144, 25, 4, 1], [1, 0, 57, 37, 323, 332, 350, 542, 83, 172, 17, 5, 1], [1, 0, 57, 38, 315, 360, 294, 612, 27, 200, 9, 6, 1], [1, 0, 58, 22, 406, 88, 784, 52, 433, 24, 46, 6, 0], [1, 0, 58, 23, 398, 116, 728, 122, 377, 52, 38, 7, 0], [1, 0, 58, 24, 390, 144, 672, 192, 321, 80, 30, 8, 0], [1, 0, 58, 24, 391, 136, 700, 136, 391, 24, 58, 0, 1], [1, 0, 58, 25, 382, 172, 616, 262, 265, 108, 22, 9, 0], [1, 0, 58, 25, 383, 164, 644, 206, 335, 52, 50, 1, 1], [1, 0, 58, 26, 374, 200, 560, 332, 209, 136, 14, 10, 0], [1, 0, 58, 26, 375, 192, 588, 276, 279, 80, 42, 2, 1], [1, 0, 58, 27, 366, 228, 504, 402, 153, 164, 6, 11, 0], [1, 0, 58, 27, 367, 220, 532, 346, 223, 108, 34, 3, 1], [1, 0, 58, 28, 359, 248, 476, 416, 167, 136, 26, 4, 1], [1, 0, 58, 29, 351, 276, 420, 486, 111, 164, 18, 5, 1], [1, 0, 58, 30, 343, 304, 364, 556, 55, 192, 10, 6, 1], [1, 0, 58, 32, 328, 352, 280, 640, 13, 192, 22, 0, 2], [1, 0, 59, 15, 426, 60, 798, 66, 405, 44, 39, 7, 0], [1, 0, 59, 16, 418, 88, 742, 136, 349, 72, 31, 8, 0], [1, 0, 59, 16, 419, 80, 770, 80, 419, 16, 59, 0, 1], [1, 0, 59, 17, 410, 116, 686, 206, 293, 100, 23, 9, 0], [1, 0, 59, 17, 411, 108, 714, 150, 363, 44, 51, 1, 1], [1, 0, 59, 18, 402, 144, 630, 276, 237, 128, 15, 10, 0], [1, 0, 59, 18, 403, 136, 658, 220, 307, 72, 43, 2, 1], [1, 0, 59, 19, 394, 172, 574, 346, 181, 156, 7, 11, 0], [1, 0, 59, 19, 395, 164, 602, 290, 251, 100, 35, 3, 1], [1, 0, 59, 20, 387, 192, 546, 360, 195, 128, 27, 4, 1], [1, 0, 59, 21, 379, 220, 490, 430, 139, 156, 19, 5, 1], [1, 0, 59, 22, 371, 248, 434, 500, 83, 184, 11, 6, 1], [1, 0, 59, 23, 363, 276, 378, 570, 27, 212, 3, 7, 1], [1, 0, 59, 24, 356, 296, 350, 584, 41, 184, 23, 0, 2], [1, 0, 60, 7, 454, 4, 868, 10, 433, 36, 40, 7, 0], [1, 0, 60, 8, 446, 32, 812, 80, 377, 64, 32, 8, 0], [1, 0, 60, 8, 447, 24, 840, 24, 447, 8, 60, 0, 1], [1, 0, 60, 9, 438, 60, 756, 150, 321, 92, 24, 9, 0], [1, 0, 60, 9, 439, 52, 784, 94, 391, 36, 52, 1, 1], [1, 0, 60, 10, 430, 88, 700, 220, 265, 120, 16, 10, 0], [1, 0, 60, 10, 431, 80, 728, 164, 335, 64, 44, 2, 1], [1, 0, 60, 11, 422, 116, 644, 290, 209, 148, 8, 11, 0], [1, 0, 60, 11, 423, 108, 672, 234, 279, 92, 36, 3, 1], [1, 0, 60, 12, 414, 144, 588, 360, 153, 176, 0, 12, 0], [1, 0, 60, 12, 415, 136, 616, 304, 223, 120, 28, 4, 1], [1, 0, 60, 13, 407, 164, 560, 374, 167, 148, 20, 5, 1], [1, 0, 60, 14, 399, 192, 504, 444, 111, 176, 12, 6, 1], [1, 0, 60, 15, 391, 220, 448, 514, 55, 204, 4, 7, 1], [1, 0, 60, 16, 384, 240, 420, 528, 69, 176, 24, 0, 2], [1, 0, 60, 17, 376, 268, 364, 598, 13, 204, 16, 1, 2], [1, 0, 61, 1, 466, 4, 826, 94, 349, 84, 25, 9, 0], [1, 0, 61, 2, 458, 32, 770, 164, 293, 112, 17, 10, 0], [1, 0, 61, 2, 459, 24, 798, 108, 363, 56, 45, 2, 1], [1, 0, 61, 3, 450, 60, 714, 234, 237, 140, 9, 11, 0], [1, 0, 61, 3, 451, 52, 742, 178, 307, 84, 37, 3, 1], [1, 0, 61, 4, 442, 88, 658, 304, 181, 168, 1, 12, 0], [1, 0, 61, 4, 443, 80, 686, 248, 251, 112, 29, 4, 1], [1, 0, 61, 5, 435, 108, 630, 318, 195, 140, 21, 5, 1], [1, 0, 61, 6, 427, 136, 574, 388, 139, 168, 13, 6, 1], [1, 0, 61, 7, 419, 164, 518, 458, 83, 196, 5, 7, 1], [1, 0, 61, 8, 412, 184, 490, 472, 97, 168, 25, 0, 2], [1, 0, 61, 9, 404, 212, 434, 542, 41, 196, 17, 1, 2], [1, 0, 62, 0, 440, 128, 560, 416, 125, 160, 26, 0, 2], [1, 0, 62, 1, 432, 156, 504, 486, 69, 188, 18, 1, 2], [1, 0, 62, 2, 424, 184, 448, 556, 13, 216, 10, 2, 2], [1, 1, 37, 150, 18, 774, 42, 528, 285, 17, 65, 2, 0], [1, 1, 38, 142, 46, 718, 112, 472, 313, 9, 66, 2, 0], [1, 1, 38, 143, 38, 746, 56, 542, 257, 37, 58, 3, 0], [1, 1, 38, 144, 30, 774, 0, 612, 201, 65, 50, 4, 0], [1, 1, 39, 134, 74, 662, 182, 416, 341, 1, 67, 2, 0], [1, 1, 39, 135, 66, 690, 126, 486, 285, 29, 59, 3, 0], [1, 1, 39, 136, 58, 718, 70, 556, 229, 57, 51, 4, 0], [1, 1, 39, 137, 50, 746, 14, 626, 173, 85, 43, 5, 0], [1, 1, 40, 127, 94, 634, 196, 430, 313, 21, 60, 3, 0], [1, 1, 40, 128, 86, 662, 140, 500, 257, 49, 52, 4, 0], [1, 1, 40, 129, 78, 690, 84, 570, 201, 77, 44, 5, 0], [1, 1, 40, 130, 70, 718, 28, 640, 145, 105, 36, 6, 0], [1, 1, 41, 119, 122, 578, 266, 374, 341, 13, 61, 3, 0], [1, 1, 41, 120, 114, 606, 210, 444, 285, 41, 53, 4, 0], [1, 1, 41, 121, 106, 634, 154, 514, 229, 69, 45, 5, 0], [1, 1, 41, 122, 98, 662, 98, 584, 173, 97, 37, 6, 0], [1, 1, 41, 123, 90, 690, 42, 654, 117, 125, 29, 7, 0], [1, 1, 41, 124, 83, 710, 14, 668, 131, 97, 49, 0, 1], [1, 1, 42, 111, 150, 522, 336, 318, 369, 5, 62, 3, 0], [1, 1, 42, 112, 142, 550, 280, 388, 313, 33, 54, 4, 0], [1, 1, 42, 113, 134, 578, 224, 458, 257, 61, 46, 5, 0], [1, 1, 42, 114, 126, 606, 168, 528, 201, 89, 38, 6, 0], [1, 1, 42, 115, 118, 634, 112, 598, 145, 117, 30, 7, 0], [1, 1, 42, 116, 110, 662, 56, 668, 89, 145, 22, 8, 0], [1, 1, 42, 116, 111, 654, 84, 612, 159, 89, 50, 0, 1], [1, 1, 42, 117, 102, 690, 0, 738, 33, 173, 14, 9, 0], [1, 1, 42, 117, 103, 682, 28, 682, 103, 117, 42, 1, 1], [1, 1, 43, 104, 170, 494, 350, 332, 341, 25, 55, 4, 0], [1, 1, 43, 105, 162, 522, 294, 402, 285, 53, 47, 5, 0], [1, 1, 43, 106, 154, 550, 238, 472, 229, 81, 39, 6, 0], [1, 1, 43, 107, 146, 578, 182, 542, 173, 109, 31, 7, 0], [1, 1, 43, 108, 138, 606, 126, 612, 117, 137, 23, 8, 0], [1, 1, 43, 108, 139, 598, 154, 556, 187, 81, 51, 0, 1], [1, 1, 43, 109, 130, 634, 70, 682, 61, 165, 15, 9, 0], [1, 1, 43, 109, 131, 626, 98, 626, 131, 109, 43, 1, 1], [1, 1, 43, 110, 122, 662, 14, 752, 5, 193, 7, 10, 0], [1, 1, 43, 110, 123, 654, 42, 696, 75, 137, 35, 2, 1], [1, 1, 44, 96, 198, 438, 420, 276, 369, 17, 56, 4, 0], [1, 1, 44, 97, 190, 466, 364, 346, 313, 45, 48, 5, 0], [1, 1, 44, 98, 182, 494, 308, 416, 257, 73, 40, 6, 0], [1, 1, 44, 99, 174, 522, 252, 486, 201, 101, 32, 7, 0], [1, 1, 44, 100, 166, 550, 196, 556, 145, 129, 24, 8, 0], [1, 1, 44, 100, 167, 542, 224, 500, 215, 73, 52, 0, 1], [1, 1, 44, 101, 158, 578, 140, 626, 89, 157, 16, 9, 0], [1, 1, 44, 101, 159, 570, 168, 570, 159, 101, 44, 1, 1], [1, 1, 44, 102, 150, 606, 84, 696, 33, 185, 8, 10, 0], [1, 1, 44, 102, 151, 598, 112, 640, 103, 129, 36, 2, 1], [1, 1, 44, 103, 143, 626, 56, 710, 47, 157, 28, 3, 1], [1, 1, 45, 88, 226, 382, 490, 220, 397, 9, 57, 4, 0], [1, 1, 45, 89, 218, 410, 434, 290, 341, 37, 49, 5, 0], [1, 1, 45, 90, 210, 438, 378, 360, 285, 65, 41, 6, 0], [1, 1, 45, 91, 202, 466, 322, 430, 229, 93, 33, 7, 0], [1, 1, 45, 92, 194, 494, 266, 500, 173, 121, 25, 8, 0], [1, 1, 45, 92, 195, 486, 294, 444, 243, 65, 53, 0, 1], [1, 1, 45, 93, 186, 522, 210, 570, 117, 149, 17, 9, 0], [1, 1, 45, 93, 187, 514, 238, 514, 187, 93, 45, 1, 1], [1, 1, 45, 94, 178, 550, 154, 640, 61, 177, 9, 10, 0], [1, 1, 45, 94, 179, 542, 182, 584, 131, 121, 37, 2, 1], [1, 1, 45, 95, 170, 578, 98, 710, 5, 205, 1, 11, 0], [1, 1, 45, 95, 171, 570, 126, 654, 75, 149, 29, 3, 1], [1, 1, 45, 96, 163, 598, 70, 724, 19, 177, 21, 4, 1], [1, 1, 46, 80, 254, 326, 560, 164, 425, 1, 58, 4, 0], [1, 1, 46, 81, 246, 354, 504, 234, 369, 29, 50, 5, 0], [1, 1, 46, 82, 238, 382, 448, 304, 313, 57, 42, 6, 0], [1, 1, 46, 83, 230, 410, 392, 374, 257, 85, 34, 7, 0], [1, 1, 46, 84, 222, 438, 336, 444, 201, 113, 26, 8, 0], [1, 1, 46, 84, 223, 430, 364, 388, 271, 57, 54, 0, 1], [1, 1, 46, 85, 214, 466, 280, 514, 145, 141, 18, 9, 0], [1, 1, 46, 85, 215, 458, 308, 458, 215, 85, 46, 1, 1], [1, 1, 46, 86, 206, 494, 224, 584, 89, 169, 10, 10, 0], [1, 1, 46, 86, 207, 486, 252, 528, 159, 113, 38, 2, 1], [1, 1, 46, 87, 198, 522, 168, 654, 33, 197, 2, 11, 0], [1, 1, 46, 87, 199, 514, 196, 598, 103, 141, 30, 3, 1], [1, 1, 46, 88, 191, 542, 140, 668, 47, 169, 22, 4, 1], [1, 1, 47, 73, 274, 298, 574, 178, 397, 21, 51, 5, 0], [1, 1, 47, 74, 266, 326, 518, 248, 341, 49, 43, 6, 0], [1, 1, 47, 75, 258, 354, 462, 318, 285, 77, 35, 7, 0], [1, 1, 47, 76, 250, 382, 406, 388, 229, 105, 27, 8, 0], [1, 1, 47, 76, 251, 374, 434, 332, 299, 49, 55, 0, 1], [1, 1, 47, 77, 242, 410, 350, 458, 173, 133, 19, 9, 0], [1, 1, 47, 77, 243, 402, 378, 402, 243, 77, 47, 1, 1], [1, 1, 47, 78, 234, 438, 294, 528, 117, 161, 11, 10, 0], [1, 1, 47, 78, 235, 430, 322, 472, 187, 105, 39, 2, 1], [1, 1, 47, 79, 226, 466, 238, 598, 61, 189, 3, 11, 0], [1, 1, 47, 79, 227, 458, 266, 542, 131, 133, 31, 3, 1], [1, 1, 47, 80, 219, 486, 210, 612, 75, 161, 23, 4, 1], [1, 1, 47, 81, 211, 514, 154, 682, 19, 189, 15, 5, 1], [1, 1, 48, 65, 302, 242, 644, 122, 425, 13, 52, 5, 0], [1, 1, 48, 66, 294, 270, 588, 192, 369, 41, 44, 6, 0], [1, 1, 48, 67, 286, 298, 532, 262, 313, 69, 36, 7, 0], [1, 1, 48, 68, 278, 326, 476, 332, 257, 97, 28, 8, 0], [1, 1, 48, 68, 279, 318, 504, 276, 327, 41, 56, 0, 1], [1, 1, 48, 69, 270, 354, 420, 402, 201, 125, 20, 9, 0], [1, 1, 48, 69, 271, 346, 448, 346, 271, 69, 48, 1, 1], [1, 1, 48, 70, 262, 382, 364, 472, 145, 153, 12, 10, 0], [1, 1, 48, 70, 263, 374, 392, 416, 215, 97, 40, 2, 1], [1, 1, 48, 71, 254, 410, 308, 542, 89, 181, 4, 11, 0], [1, 1, 48, 71, 255, 402, 336, 486, 159, 125, 32, 3, 1], [1, 1, 48, 72, 247, 430, 280, 556, 103, 153, 24, 4, 1], [1, 1, 48, 73, 239, 458, 224, 626, 47, 181, 16, 5, 1], [1, 1, 49, 57, 330, 186, 714, 66, 453, 5, 53, 5, 0], [1, 1, 49, 58, 322, 214, 658, 136, 397, 33, 45, 6, 0], [1, 1, 49, 59, 314, 242, 602, 206, 341, 61, 37, 7, 0], [1, 1, 49, 60, 306, 270, 546, 276, 285, 89, 29, 8, 0], [1, 1, 49, 60, 307, 262, 574, 220, 355, 33, 57, 0, 1], [1, 1, 49, 61, 298, 298, 490, 346, 229, 117, 21, 9, 0], [1, 1, 49, 61, 299, 290, 518, 290, 299, 61, 49, 1, 1], [1, 1, 49, 62, 290, 326, 434, 416, 173, 145, 13, 10, 0], [1, 1, 49, 62, 291, 318, 462, 360, 243, 89, 41, 2, 1], [1, 1, 49, 63, 282, 354, 378, 486, 117, 173, 5, 11, 0], [1, 1, 49, 63, 283, 346, 406, 430, 187, 117, 33, 3, 1], [1, 1, 49, 64, 275, 374, 350, 500, 131, 145, 25, 4, 1], [1, 1, 49, 65, 267, 402, 294, 570, 75, 173, 17, 5, 1], [1, 1, 49, 66, 259, 430, 238, 640, 19, 201, 9, 6, 1], [1, 1, 50, 50, 350, 158, 728, 80, 425, 25, 46, 6, 0], [1, 1, 50, 51, 342, 186, 672, 150, 369, 53, 38, 7, 0], [1, 1, 50, 52, 334, 214, 616, 220, 313, 81, 30, 8, 0], [1, 1, 50, 52, 335, 206, 644, 164, 383, 25, 58, 0, 1], [1, 1, 50, 53, 326, 242, 560, 290, 257, 109, 22, 9, 0], [1, 1, 50, 53, 327, 234, 588, 234, 327, 53, 50, 1, 1], [1, 1, 50, 54, 318, 270, 504, 360, 201, 137, 14, 10, 0], [1, 1, 50, 54, 319, 262, 532, 304, 271, 81, 42, 2, 1], [1, 1, 50, 55, 310, 298, 448, 430, 145, 165, 6, 11, 0], [1, 1, 50, 55, 311, 290, 476, 374, 215, 109, 34, 3, 1], [1, 1, 50, 56, 303, 318, 420, 444, 159, 137, 26, 4, 1], [1, 1, 50, 57, 295, 346, 364, 514, 103, 165, 18, 5, 1], [1, 1, 50, 58, 287, 374, 308, 584, 47, 193, 10, 6, 1], [1, 1, 50, 60, 272, 422, 224, 668, 5, 193, 22, 0, 2], [1, 1, 51, 42, 378, 102, 798, 24, 453, 17, 47, 6, 0], [1, 1, 51, 43, 370, 130, 742, 94, 397, 45, 39, 7, 0], [1, 1, 51, 44, 362, 158, 686, 164, 341, 73, 31, 8, 0], [1, 1, 51, 44, 363, 150, 714, 108, 411, 17, 59, 0, 1], [1, 1, 51, 45, 354, 186, 630, 234, 285, 101, 23, 9, 0], [1, 1, 51, 45, 355, 178, 658, 178, 355, 45, 51, 1, 1], [1, 1, 51, 46, 346, 214, 574, 304, 229, 129, 15, 10, 0], [1, 1, 51, 46, 347, 206, 602, 248, 299, 73, 43, 2, 1], [1, 1, 51, 47, 338, 242, 518, 374, 173, 157, 7, 11, 0], [1, 1, 51, 47, 339, 234, 546, 318, 243, 101, 35, 3, 1], [1, 1, 51, 48, 331, 262, 490, 388, 187, 129, 27, 4, 1], [1, 1, 51, 49, 323, 290, 434, 458, 131, 157, 19, 5, 1], [1, 1, 51, 50, 315, 318, 378, 528, 75, 185, 11, 6, 1], [1, 1, 51, 51, 307, 346, 322, 598, 19, 213, 3, 7, 1], [1, 1, 51, 52, 300, 366, 294, 612, 33, 185, 23, 0, 2], [1, 1, 52, 35, 398, 74, 812, 38, 425, 37, 40, 7, 0], [1, 1, 52, 36, 390, 102, 756, 108, 369, 65, 32, 8, 0], [1, 1, 52, 36, 391, 94, 784, 52, 439, 9, 60, 0, 1], [1, 1, 52, 37, 382, 130, 700, 178, 313, 93, 24, 9, 0], [1, 1, 52, 37, 383, 122, 728, 122, 383, 37, 52, 1, 1], [1, 1, 52, 38, 374, 158, 644, 248, 257, 121, 16, 10, 0], [1, 1, 52, 38, 375, 150, 672, 192, 327, 65, 44, 2, 1], [1, 1, 52, 39, 366, 186, 588, 318, 201, 149, 8, 11, 0], [1, 1, 52, 39, 367, 178, 616, 262, 271, 93, 36, 3, 1], [1, 1, 52, 40, 358, 214, 532, 388, 145, 177, 0, 12, 0], [1, 1, 52, 40, 359, 206, 560, 332, 215, 121, 28, 4, 1], [1, 1, 52, 41, 351, 234, 504, 402, 159, 149, 20, 5, 1], [1, 1, 52, 42, 343, 262, 448, 472, 103, 177, 12, 6, 1], [1, 1, 52, 43, 335, 290, 392, 542, 47, 205, 4, 7, 1], [1, 1, 52, 44, 328, 310, 364, 556, 61, 177, 24, 0, 2], [1, 1, 52, 45, 320, 338, 308, 626, 5, 205, 16, 1, 2], [1, 1, 53, 28, 418, 46, 826, 52, 397, 57, 33, 8, 0], [1, 1, 53, 29, 410, 74, 770, 122, 341, 85, 25, 9, 0], [1, 1, 53, 29, 411, 66, 798, 66, 411, 29, 53, 1, 1], [1, 1, 53, 30, 402, 102, 714, 192, 285, 113, 17, 10, 0], [1, 1, 53, 30, 403, 94, 742, 136, 355, 57, 45, 2, 1], [1, 1, 53, 31, 394, 130, 658, 262, 229, 141, 9, 11, 0], [1, 1, 53, 31, 395, 122, 686, 206, 299, 85, 37, 3, 1], [1, 1, 53, 32, 386, 158, 602, 332, 173, 169, 1, 12, 0], [1, 1, 53, 32, 387, 150, 630, 276, 243, 113, 29, 4, 1], [1, 1, 53, 33, 379, 178, 574, 346, 187, 141, 21, 5, 1], [1, 1, 53, 34, 371, 206, 518, 416, 131, 169, 13, 6, 1], [1, 1, 53, 35, 363, 234, 462, 486, 75, 197, 5, 7, 1], [1, 1, 53, 36, 356, 254, 434, 500, 89, 169, 25, 0, 2], [1, 1, 53, 37, 348, 282, 378, 570, 33, 197, 17, 1, 2], [1, 1, 54, 21, 438, 18, 840, 66, 369, 77, 26, 9, 0], [1, 1, 54, 21, 439, 10, 868, 10, 439, 21, 54, 1, 1], [1, 1, 54, 22, 430, 46, 784, 136, 313, 105, 18, 10, 0], [1, 1, 54, 22, 431, 38, 812, 80, 383, 49, 46, 2, 1], [1, 1, 54, 23, 422, 74, 728, 206, 257, 133, 10, 11, 0], [1, 1, 54, 23, 423, 66, 756, 150, 327, 77, 38, 3, 1], [1, 1, 54, 24, 414, 102, 672, 276, 201, 161, 2, 12, 0], [1, 1, 54, 24, 415, 94, 700, 220, 271, 105, 30, 4, 1], [1, 1, 54, 25, 407, 122, 644, 290, 215, 133, 22, 5, 1], [1, 1, 54, 26, 399, 150, 588, 360, 159, 161, 14, 6, 1], [1, 1, 54, 27, 391, 178, 532, 430, 103, 189, 6, 7, 1], [1, 1, 54, 28, 384, 198, 504, 444, 117, 161, 26, 0, 2], [1, 1, 54, 29, 376, 226, 448, 514, 61, 189, 18, 1, 2], [1, 1, 54, 30, 368, 254, 392, 584, 5, 217, 10, 2, 2], [1, 1, 55, 15, 450, 18, 798, 150, 285, 125, 11, 11, 0], [1, 1, 55, 15, 451, 10, 826, 94, 355, 69, 39, 3, 1], [1, 1, 55, 16, 442, 46, 742, 220, 229, 153, 3, 12, 0], [1, 1, 55, 16, 443, 38, 770, 164, 299, 97, 31, 4, 1], [1, 1, 55, 17, 435, 66, 714, 234, 243, 125, 23, 5, 1], [1, 1, 55, 18, 427, 94, 658, 304, 187, 153, 15, 6, 1], [1, 1, 55, 19, 419, 122, 602, 374, 131, 181, 7, 7, 1], [1, 1, 55, 20, 412, 142, 574, 388, 145, 153, 27, 0, 2], [1, 1, 55, 21, 404, 170, 518, 458, 89, 181, 19, 1, 2], [1, 1, 55, 22, 396, 198, 462, 528, 33, 209, 11, 2, 2], [1, 1, 56, 9, 463, 10, 784, 178, 271, 117, 24, 5, 1], [1, 1, 56, 10, 455, 38, 728, 248, 215, 145, 16, 6, 1], [1, 1, 56, 11, 447, 66, 672, 318, 159, 173, 8, 7, 1], [1, 1, 56, 12, 439, 94, 616, 388, 103, 201, 0, 8, 1], [1, 1, 56, 12, 440, 86, 644, 332, 173, 145, 28, 0, 2], [1, 1, 56, 13, 432, 114, 588, 402, 117, 173, 20, 1, 2], [1, 1, 56, 14, 424, 142, 532, 472, 61, 201, 12, 2, 2], [1, 1, 56, 15, 416, 170, 476, 542, 5, 229, 4, 3, 2], [1, 1, 57, 3, 475, 10, 742, 262, 187, 165, 9, 7, 1], [1, 1, 57, 4, 467, 38, 686, 332, 131, 193, 1, 8, 1], [1, 1, 57, 4, 468, 30, 714, 276, 201, 137, 29, 0, 2], [1, 1, 57, 5, 460, 58, 658, 346, 145, 165, 21, 1, 2], [1, 1, 57, 6, 452, 86, 602, 416, 89, 193, 13, 2, 2], [1, 1, 57, 7, 444, 114, 546, 486, 33, 221, 5, 3, 2], [1, 2, 31, 162, 18, 732, 126, 444, 333, 2, 67, 2, 0], [1, 2, 31, 163, 10, 760, 70, 514, 277, 30, 59, 3, 0], [1, 2, 31, 164, 2, 788, 14, 584, 221, 58, 51, 4, 0], [1, 2, 32, 155, 38, 704, 140, 458, 305, 22, 60, 3, 0], [1, 2, 32, 156, 30, 732, 84, 528, 249, 50, 52, 4, 0], [1, 2, 32, 157, 22, 760, 28, 598, 193, 78, 44, 5, 0], [1, 2, 33, 147, 66, 648, 210, 402, 333, 14, 61, 3, 0], [1, 2, 33, 148, 58, 676, 154, 472, 277, 42, 53, 4, 0], [1, 2, 33, 149, 50, 704, 98, 542, 221, 70, 45, 5, 0], [1, 2, 33, 150, 42, 732, 42, 612, 165, 98, 37, 6, 0], [1, 2, 34, 139, 94, 592, 280, 346, 361, 6, 62, 3, 0], [1, 2, 34, 140, 86, 620, 224, 416, 305, 34, 54, 4, 0], [1, 2, 34, 141, 78, 648, 168, 486, 249, 62, 46, 5, 0], [1, 2, 34, 142, 70, 676, 112, 556, 193, 90, 38, 6, 0], [1, 2, 34, 143, 62, 704, 56, 626, 137, 118, 30, 7, 0], [1, 2, 34, 144, 54, 732, 0, 696, 81, 146, 22, 8, 0], [1, 2, 34, 144, 55, 724, 28, 640, 151, 90, 50, 0, 1], [1, 2, 35, 132, 114, 564, 294, 360, 333, 26, 55, 4, 0], [1, 2, 35, 133, 106, 592, 238, 430, 277, 54, 47, 5, 0], [1, 2, 35, 134, 98, 620, 182, 500, 221, 82, 39, 6, 0], [1, 2, 35, 135, 90, 648, 126, 570, 165, 110, 31, 7, 0], [1, 2, 35, 136, 82, 676, 70, 640, 109, 138, 23, 8, 0], [1, 2, 35, 136, 83, 668, 98, 584, 179, 82, 51, 0, 1], [1, 2, 35, 137, 74, 704, 14, 710, 53, 166, 15, 9, 0], [1, 2, 35, 137, 75, 696, 42, 654, 123, 110, 43, 1, 1], [1, 2, 36, 124, 142, 508, 364, 304, 361, 18, 56, 4, 0], [1, 2, 36, 125, 134, 536, 308, 374, 305, 46, 48, 5, 0], [1, 2, 36, 126, 126, 564, 252, 444, 249, 74, 40, 6, 0], [1, 2, 36, 127, 118, 592, 196, 514, 193, 102, 32, 7, 0], [1, 2, 36, 128, 110, 620, 140, 584, 137, 130, 24, 8, 0], [1, 2, 36, 128, 111, 612, 168, 528, 207, 74, 52, 0, 1], [1, 2, 36, 129, 102, 648, 84, 654, 81, 158, 16, 9, 0], [1, 2, 36, 129, 103, 640, 112, 598, 151, 102, 44, 1, 1], [1, 2, 36, 130, 94, 676, 28, 724, 25, 186, 8, 10, 0], [1, 2, 36, 130, 95, 668, 56, 668, 95, 130, 36, 2, 1], [1, 2, 36, 131, 87, 696, 0, 738, 39, 158, 28, 3, 1], [1, 2, 37, 116, 170, 452, 434, 248, 389, 10, 57, 4, 0], [1, 2, 37, 117, 162, 480, 378, 318, 333, 38, 49, 5, 0], [1, 2, 37, 118, 154, 508, 322, 388, 277, 66, 41, 6, 0], [1, 2, 37, 119, 146, 536, 266, 458, 221, 94, 33, 7, 0], [1, 2, 37, 120, 138, 564, 210, 528, 165, 122, 25, 8, 0], [1, 2, 37, 120, 139, 556, 238, 472, 235, 66, 53, 0, 1], [1, 2, 37, 121, 130, 592, 154, 598, 109, 150, 17, 9, 0], [1, 2, 37, 121, 131, 584, 182, 542, 179, 94, 45, 1, 1], [1, 2, 37, 122, 122, 620, 98, 668, 53, 178, 9, 10, 0], [1, 2, 37, 122, 123, 612, 126, 612, 123, 122, 37, 2, 1], [1, 2, 37, 123, 115, 640, 70, 682, 67, 150, 29, 3, 1], [1, 2, 37, 124, 107, 668, 14, 752, 11, 178, 21, 4, 1], [1, 2, 38, 108, 198, 396, 504, 192, 417, 2, 58, 4, 0], [1, 2, 38, 109, 190, 424, 448, 262, 361, 30, 50, 5, 0], [1, 2, 38, 110, 182, 452, 392, 332, 305, 58, 42, 6, 0], [1, 2, 38, 111, 174, 480, 336, 402, 249, 86, 34, 7, 0], [1, 2, 38, 112, 166, 508, 280, 472, 193, 114, 26, 8, 0], [1, 2, 38, 112, 167, 500, 308, 416, 263, 58, 54, 0, 1], [1, 2, 38, 113, 158, 536, 224, 542, 137, 142, 18, 9, 0], [1, 2, 38, 113, 159, 528, 252, 486, 207, 86, 46, 1, 1], [1, 2, 38, 114, 150, 564, 168, 612, 81, 170, 10, 10, 0], [1, 2, 38, 114, 151, 556, 196, 556, 151, 114, 38, 2, 1], [1, 2, 38, 115, 142, 592, 112, 682, 25, 198, 2, 11, 0], [1, 2, 38, 115, 143, 584, 140, 626, 95, 142, 30, 3, 1], [1, 2, 38, 116, 135, 612, 84, 696, 39, 170, 22, 4, 1], [1, 2, 39, 101, 218, 368, 518, 206, 389, 22, 51, 5, 0], [1, 2, 39, 102, 210, 396, 462, 276, 333, 50, 43, 6, 0], [1, 2, 39, 103, 202, 424, 406, 346, 277, 78, 35, 7, 0], [1, 2, 39, 104, 194, 452, 350, 416, 221, 106, 27, 8, 0], [1, 2, 39, 104, 195, 444, 378, 360, 291, 50, 55, 0, 1], [1, 2, 39, 105, 186, 480, 294, 486, 165, 134, 19, 9, 0], [1, 2, 39, 105, 187, 472, 322, 430, 235, 78, 47, 1, 1], [1, 2, 39, 106, 178, 508, 238, 556, 109, 162, 11, 10, 0], [1, 2, 39, 106, 179, 500, 266, 500, 179, 106, 39, 2, 1], [1, 2, 39, 107, 170, 536, 182, 626, 53, 190, 3, 11, 0], [1, 2, 39, 107, 171, 528, 210, 570, 123, 134, 31, 3, 1], [1, 2, 39, 108, 163, 556, 154, 640, 67, 162, 23, 4, 1], [1, 2, 39, 109, 155, 584, 98, 710, 11, 190, 15, 5, 1], [1, 2, 40, 93, 246, 312, 588, 150, 417, 14, 52, 5, 0], [1, 2, 40, 94, 238, 340, 532, 220, 361, 42, 44, 6, 0], [1, 2, 40, 95, 230, 368, 476, 290, 305, 70, 36, 7, 0], [1, 2, 40, 96, 222, 396, 420, 360, 249, 98, 28, 8, 0], [1, 2, 40, 96, 223, 388, 448, 304, 319, 42, 56, 0, 1], [1, 2, 40, 97, 214, 424, 364, 430, 193, 126, 20, 9, 0], [1, 2, 40, 97, 215, 416, 392, 374, 263, 70, 48, 1, 1], [1, 2, 40, 98, 206, 452, 308, 500, 137, 154, 12, 10, 0], [1, 2, 40, 98, 207, 444, 336, 444, 207, 98, 40, 2, 1], [1, 2, 40, 99, 198, 480, 252, 570, 81, 182, 4, 11, 0], [1, 2, 40, 99, 199, 472, 280, 514, 151, 126, 32, 3, 1], [1, 2, 40, 100, 191, 500, 224, 584, 95, 154, 24, 4, 1], [1, 2, 40, 101, 183, 528, 168, 654, 39, 182, 16, 5, 1], [1, 2, 41, 85, 274, 256, 658, 94, 445, 6, 53, 5, 0], [1, 2, 41, 86, 266, 284, 602, 164, 389, 34, 45, 6, 0], [1, 2, 41, 87, 258, 312, 546, 234, 333, 62, 37, 7, 0], [1, 2, 41, 88, 250, 340, 490, 304, 277, 90, 29, 8, 0], [1, 2, 41, 88, 251, 332, 518, 248, 347, 34, 57, 0, 1], [1, 2, 41, 89, 242, 368, 434, 374, 221, 118, 21, 9, 0], [1, 2, 41, 89, 243, 360, 462, 318, 291, 62, 49, 1, 1], [1, 2, 41, 90, 234, 396, 378, 444, 165, 146, 13, 10, 0], [1, 2, 41, 90, 235, 388, 406, 388, 235, 90, 41, 2, 1], [1, 2, 41, 91, 226, 424, 322, 514, 109, 174, 5, 11, 0], [1, 2, 41, 91, 227, 416, 350, 458, 179, 118, 33, 3, 1], [1, 2, 41, 92, 219, 444, 294, 528, 123, 146, 25, 4, 1], [1, 2, 41, 93, 211, 472, 238, 598, 67, 174, 17, 5, 1], [1, 2, 41, 94, 203, 500, 182, 668, 11, 202, 9, 6, 1], [1, 2, 42, 78, 294, 228, 672, 108, 417, 26, 46, 6, 0], [1, 2, 42, 79, 286, 256, 616, 178, 361, 54, 38, 7, 0], [1, 2, 42, 80, 278, 284, 560, 248, 305, 82, 30, 8, 0], [1, 2, 42, 80, 279, 276, 588, 192, 375, 26, 58, 0, 1], [1, 2, 42, 81, 270, 312, 504, 318, 249, 110, 22, 9, 0], [1, 2, 42, 81, 271, 304, 532, 262, 319, 54, 50, 1, 1], [1, 2, 42, 82, 262, 340, 448, 388, 193, 138, 14, 10, 0], [1, 2, 42, 82, 263, 332, 476, 332, 263, 82, 42, 2, 1], [1, 2, 42, 83, 254, 368, 392, 458, 137, 166, 6, 11, 0], [1, 2, 42, 83, 255, 360, 420, 402, 207, 110, 34, 3, 1], [1, 2, 42, 84, 247, 388, 364, 472, 151, 138, 26, 4, 1], [1, 2, 42, 85, 239, 416, 308, 542, 95, 166, 18, 5, 1], [1, 2, 42, 86, 231, 444, 252, 612, 39, 194, 10, 6, 1], [1, 2, 43, 70, 322, 172, 742, 52, 445, 18, 47, 6, 0], [1, 2, 43, 71, 314, 200, 686, 122, 389, 46, 39, 7, 0], [1, 2, 43, 72, 306, 228, 630, 192, 333, 74, 31, 8, 0], [1, 2, 43, 72, 307, 220, 658, 136, 403, 18, 59, 0, 1], [1, 2, 43, 73, 298, 256, 574, 262, 277, 102, 23, 9, 0], [1, 2, 43, 73, 299, 248, 602, 206, 347, 46, 51, 1, 1], [1, 2, 43, 74, 290, 284, 518, 332, 221, 130, 15, 10, 0], [1, 2, 43, 74, 291, 276, 546, 276, 291, 74, 43, 2, 1], [1, 2, 43, 75, 282, 312, 462, 402, 165, 158, 7, 11, 0], [1, 2, 43, 75, 283, 304, 490, 346, 235, 102, 35, 3, 1], [1, 2, 43, 76, 275, 332, 434, 416, 179, 130, 27, 4, 1], [1, 2, 43, 77, 267, 360, 378, 486, 123, 158, 19, 5, 1], [1, 2, 43, 78, 259, 388, 322, 556, 67, 186, 11, 6, 1], [1, 2, 43, 79, 251, 416, 266, 626, 11, 214, 3, 7, 1], [1, 2, 43, 80, 244, 436, 238, 640, 25, 186, 23, 0, 2], [1, 2, 44, 63, 342, 144, 756, 66, 417, 38, 40, 7, 0], [1, 2, 44, 64, 334, 172, 700, 136, 361, 66, 32, 8, 0], [1, 2, 44, 64, 335, 164, 728, 80, 431, 10, 60, 0, 1], [1, 2, 44, 65, 326, 200, 644, 206, 305, 94, 24, 9, 0], [1, 2, 44, 65, 327, 192, 672, 150, 375, 38, 52, 1, 1], [1, 2, 44, 66, 318, 228, 588, 276, 249, 122, 16, 10, 0], [1, 2, 44, 66, 319, 220, 616, 220, 319, 66, 44, 2, 1], [1, 2, 44, 67, 310, 256, 532, 346, 193, 150, 8, 11, 0], [1, 2, 44, 67, 311, 248, 560, 290, 263, 94, 36, 3, 1], [1, 2, 44, 68, 302, 284, 476, 416, 137, 178, 0, 12, 0], [1, 2, 44, 68, 303, 276, 504, 360, 207, 122, 28, 4, 1], [1, 2, 44, 69, 295, 304, 448, 430, 151, 150, 20, 5, 1], [1, 2, 44, 70, 287, 332, 392, 500, 95, 178, 12, 6, 1], [1, 2, 44, 71, 279, 360, 336, 570, 39, 206, 4, 7, 1], [1, 2, 44, 72, 272, 380, 308, 584, 53, 178, 24, 0, 2], [1, 2, 45, 55, 370, 88, 826, 10, 445, 30, 41, 7, 0], [1, 2, 45, 56, 362, 116, 770, 80, 389, 58, 33, 8, 0], [1, 2, 45, 56, 363, 108, 798, 24, 459, 2, 61, 0, 1], [1, 2, 45, 57, 354, 144, 714, 150, 333, 86, 25, 9, 0], [1, 2, 45, 57, 355, 136, 742, 94, 403, 30, 53, 1, 1], [1, 2, 45, 58, 346, 172, 658, 220, 277, 114, 17, 10, 0], [1, 2, 45, 58, 347, 164, 686, 164, 347, 58, 45, 2, 1], [1, 2, 45, 59, 338, 200, 602, 290, 221, 142, 9, 11, 0], [1, 2, 45, 59, 339, 192, 630, 234, 291, 86, 37, 3, 1], [1, 2, 45, 60, 330, 228, 546, 360, 165, 170, 1, 12, 0], [1, 2, 45, 60, 331, 220, 574, 304, 235, 114, 29, 4, 1], [1, 2, 45, 61, 323, 248, 518, 374, 179, 142, 21, 5, 1], [1, 2, 45, 62, 315, 276, 462, 444, 123, 170, 13, 6, 1], [1, 2, 45, 63, 307, 304, 406, 514, 67, 198, 5, 7, 1], [1, 2, 45, 64, 300, 324, 378, 528, 81, 170, 25, 0, 2], [1, 2, 45, 65, 292, 352, 322, 598, 25, 198, 17, 1, 2], [1, 2, 46, 48, 390, 60, 840, 24, 417, 50, 34, 8, 0], [1, 2, 46, 49, 382, 88, 784, 94, 361, 78, 26, 9, 0], [1, 2, 46, 49, 383, 80, 812, 38, 431, 22, 54, 1, 1], [1, 2, 46, 50, 374, 116, 728, 164, 305, 106, 18, 10, 0], [1, 2, 46, 50, 375, 108, 756, 108, 375, 50, 46, 2, 1], [1, 2, 46, 51, 366, 144, 672, 234, 249, 134, 10, 11, 0], [1, 2, 46, 51, 367, 136, 700, 178, 319, 78, 38, 3, 1], [1, 2, 46, 52, 358, 172, 616, 304, 193, 162, 2, 12, 0], [1, 2, 46, 52, 359, 164, 644, 248, 263, 106, 30, 4, 1], [1, 2, 46, 53, 351, 192, 588, 318, 207, 134, 22, 5, 1], [1, 2, 46, 54, 343, 220, 532, 388, 151, 162, 14, 6, 1], [1, 2, 46, 55, 335, 248, 476, 458, 95, 190, 6, 7, 1], [1, 2, 46, 56, 328, 268, 448, 472, 109, 162, 26, 0, 2], [1, 2, 46, 57, 320, 296, 392, 542, 53, 190, 18, 1, 2], [1, 2, 47, 41, 410, 32, 854, 38, 389, 70, 27, 9, 0], [1, 2, 47, 42, 402, 60, 798, 108, 333, 98, 19, 10, 0], [1, 2, 47, 42, 403, 52, 826, 52, 403, 42, 47, 2, 1], [1, 2, 47, 43, 394, 88, 742, 178, 277, 126, 11, 11, 0], [1, 2, 47, 43, 395, 80, 770, 122, 347, 70, 39, 3, 1], [1, 2, 47, 44, 386, 116, 686, 248, 221, 154, 3, 12, 0], [1, 2, 47, 44, 387, 108, 714, 192, 291, 98, 31, 4, 1], [1, 2, 47, 45, 379, 136, 658, 262, 235, 126, 23, 5, 1], [1, 2, 47, 46, 371, 164, 602, 332, 179, 154, 15, 6, 1], [1, 2, 47, 47, 363, 192, 546, 402, 123, 182, 7, 7, 1], [1, 2, 47, 48, 356, 212, 518, 416, 137, 154, 27, 0, 2], [1, 2, 47, 49, 348, 240, 462, 486, 81, 182, 19, 1, 2], [1, 2, 47, 50, 340, 268, 406, 556, 25, 210, 11, 2, 2], [1, 2, 48, 34, 430, 4, 868, 52, 361, 90, 20, 10, 0], [1, 2, 48, 35, 422, 32, 812, 122, 305, 118, 12, 11, 0], [1, 2, 48, 35, 423, 24, 840, 66, 375, 62, 40, 3, 1], [1, 2, 48, 36, 414, 60, 756, 192, 249, 146, 4, 12, 0], [1, 2, 48, 36, 415, 52, 784, 136, 319, 90, 32, 4, 1], [1, 2, 48, 37, 407, 80, 728, 206, 263, 118, 24, 5, 1], [1, 2, 48, 38, 399, 108, 672, 276, 207, 146, 16, 6, 1], [1, 2, 48, 39, 391, 136, 616, 346, 151, 174, 8, 7, 1], [1, 2, 48, 40, 383, 164, 560, 416, 95, 202, 0, 8, 1], [1, 2, 48, 40, 384, 156, 588, 360, 165, 146, 28, 0, 2], [1, 2, 48, 41, 376, 184, 532, 430, 109, 174, 20, 1, 2], [1, 2, 48, 42, 368, 212, 476, 500, 53, 202, 12, 2, 2], [1, 2, 49, 28, 442, 4, 826, 136, 277, 138, 5, 12, 0], [1, 2, 49, 29, 435, 24, 798, 150, 291, 110, 25, 5, 1], [1, 2, 49, 30, 427, 52, 742, 220, 235, 138, 17, 6, 1], [1, 2, 49, 31, 419, 80, 686, 290, 179, 166, 9, 7, 1], [1, 2, 49, 32, 411, 108, 630, 360, 123, 194, 1, 8, 1], [1, 2, 49, 32, 412, 100, 658, 304, 193, 138, 29, 0, 2], [1, 2, 49, 33, 404, 128, 602, 374, 137, 166, 21, 1, 2], [1, 2, 49, 34, 396, 156, 546, 444, 81, 194, 13, 2, 2], [1, 2, 49, 35, 388, 184, 490, 514, 25, 222, 5, 3, 2], [1, 2, 50, 23, 447, 24, 756, 234, 207, 158, 10, 7, 1], [1, 2, 50, 24, 439, 52, 700, 304, 151, 186, 2, 8, 1], [1, 2, 50, 24, 440, 44, 728, 248, 221, 130, 30, 0, 2], [1, 2, 50, 25, 432, 72, 672, 318, 165, 158, 22, 1, 2], [1, 2, 50, 26, 424, 100, 616, 388, 109, 186, 14, 2, 2], [1, 2, 50, 27, 416, 128, 560, 458, 53, 214, 6, 3, 2], [1, 2, 51, 17, 460, 16, 742, 262, 193, 150, 23, 1, 2], [1, 2, 51, 18, 452, 44, 686, 332, 137, 178, 15, 2, 2], [1, 2, 51, 19, 444, 72, 630, 402, 81, 206, 7, 3, 2], [1, 2, 52, 11, 472, 16, 700, 346, 109, 198, 8, 3, 2], [1, 2, 52, 12, 464, 44, 644, 416, 53, 226, 0, 4, 2], [1, 3, 25, 175, 10, 718, 154, 430, 325, 15, 61, 3, 0], [1, 3, 25, 176, 2, 746, 98, 500, 269, 43, 53, 4, 0], [1, 3, 26, 167, 38, 662, 224, 374, 353, 7, 62, 3, 0], [1, 3, 26, 168, 30, 690, 168, 444, 297, 35, 54, 4, 0], [1, 3, 26, 169, 22, 718, 112, 514, 241, 63, 46, 5, 0], [1, 3, 26, 170, 14, 746, 56, 584, 185, 91, 38, 6, 0], [1, 3, 26, 171, 6, 774, 0, 654, 129, 119, 30, 7, 0], [1, 3, 27, 160, 58, 634, 238, 388, 325, 27, 55, 4, 0], [1, 3, 27, 161, 50, 662, 182, 458, 269, 55, 47, 5, 0], [1, 3, 27, 162, 42, 690, 126, 528, 213, 83, 39, 6, 0], [1, 3, 27, 163, 34, 718, 70, 598, 157, 111, 31, 7, 0], [1, 3, 27, 164, 26, 746, 14, 668, 101, 139, 23, 8, 0], [1, 3, 27, 164, 27, 738, 42, 612, 171, 83, 51, 0, 1], [1, 3, 28, 152, 86, 578, 308, 332, 353, 19, 56, 4, 0], [1, 3, 28, 153, 78, 606, 252, 402, 297, 47, 48, 5, 0], [1, 3, 28, 154, 70, 634, 196, 472, 241, 75, 40, 6, 0], [1, 3, 28, 155, 62, 662, 140, 542, 185, 103, 32, 7, 0], [1, 3, 28, 156, 54, 690, 84, 612, 129, 131, 24, 8, 0], [1, 3, 28, 156, 55, 682, 112, 556, 199, 75, 52, 0, 1], [1, 3, 28, 157, 46, 718, 28, 682, 73, 159, 16, 9, 0], [1, 3, 28, 157, 47, 710, 56, 626, 143, 103, 44, 1, 1], [1, 3, 28, 158, 39, 738, 0, 696, 87, 131, 36, 2, 1], [1, 3, 29, 144, 114, 522, 378, 276, 381, 11, 57, 4, 0], [1, 3, 29, 145, 106, 550, 322, 346, 325, 39, 49, 5, 0], [1, 3, 29, 146, 98, 578, 266, 416, 269, 67, 41, 6, 0], [1, 3, 29, 147, 90, 606, 210, 486, 213, 95, 33, 7, 0], [1, 3, 29, 148, 82, 634, 154, 556, 157, 123, 25, 8, 0], [1, 3, 29, 148, 83, 626, 182, 500, 227, 67, 53, 0, 1], [1, 3, 29, 149, 74, 662, 98, 626, 101, 151, 17, 9, 0], [1, 3, 29, 149, 75, 654, 126, 570, 171, 95, 45, 1, 1], [1, 3, 29, 150, 66, 690, 42, 696, 45, 179, 9, 10, 0], [1, 3, 29, 150, 67, 682, 70, 640, 115, 123, 37, 2, 1], [1, 3, 29, 151, 59, 710, 14, 710, 59, 151, 29, 3, 1], [1, 3, 30, 136, 142, 466, 448, 220, 409, 3, 58, 4, 0], [1, 3, 30, 137, 134, 494, 392, 290, 353, 31, 50, 5, 0], [1, 3, 30, 138, 126, 522, 336, 360, 297, 59, 42, 6, 0], [1, 3, 30, 139, 118, 550, 280, 430, 241, 87, 34, 7, 0], [1, 3, 30, 140, 110, 578, 224, 500, 185, 115, 26, 8, 0], [1, 3, 30, 140, 111, 570, 252, 444, 255, 59, 54, 0, 1], [1, 3, 30, 141, 102, 606, 168, 570, 129, 143, 18, 9, 0], [1, 3, 30, 141, 103, 598, 196, 514, 199, 87, 46, 1, 1], [1, 3, 30, 142, 94, 634, 112, 640, 73, 171, 10, 10, 0], [1, 3, 30, 142, 95, 626, 140, 584, 143, 115, 38, 2, 1], [1, 3, 30, 143, 86, 662, 56, 710, 17, 199, 2, 11, 0], [1, 3, 30, 143, 87, 654, 84, 654, 87, 143, 30, 3, 1], [1, 3, 30, 144, 79, 682, 28, 724, 31, 171, 22, 4, 1], [1, 3, 31, 129, 162, 438, 462, 234, 381, 23, 51, 5, 0], [1, 3, 31, 130, 154, 466, 406, 304, 325, 51, 43, 6, 0], [1, 3, 31, 131, 146, 494, 350, 374, 269, 79, 35, 7, 0], [1, 3, 31, 132, 138, 522, 294, 444, 213, 107, 27, 8, 0], [1, 3, 31, 132, 139, 514, 322, 388, 283, 51, 55, 0, 1], [1, 3, 31, 133, 130, 550, 238, 514, 157, 135, 19, 9, 0], [1, 3, 31, 133, 131, 542, 266, 458, 227, 79, 47, 1, 1], [1, 3, 31, 134, 122, 578, 182, 584, 101, 163, 11, 10, 0], [1, 3, 31, 134, 123, 570, 210, 528, 171, 107, 39, 2, 1], [1, 3, 31, 135, 114, 606, 126, 654, 45, 191, 3, 11, 0], [1, 3, 31, 135, 115, 598, 154, 598, 115, 135, 31, 3, 1], [1, 3, 31, 136, 107, 626, 98, 668, 59, 163, 23, 4, 1], [1, 3, 31, 137, 99, 654, 42, 738, 3, 191, 15, 5, 1], [1, 3, 32, 121, 190, 382, 532, 178, 409, 15, 52, 5, 0], [1, 3, 32, 122, 182, 410, 476, 248, 353, 43, 44, 6, 0], [1, 3, 32, 123, 174, 438, 420, 318, 297, 71, 36, 7, 0], [1, 3, 32, 124, 166, 466, 364, 388, 241, 99, 28, 8, 0], [1, 3, 32, 124, 167, 458, 392, 332, 311, 43, 56, 0, 1], [1, 3, 32, 125, 158, 494, 308, 458, 185, 127, 20, 9, 0], [1, 3, 32, 125, 159, 486, 336, 402, 255, 71, 48, 1, 1], [1, 3, 32, 126, 150, 522, 252, 528, 129, 155, 12, 10, 0], [1, 3, 32, 126, 151, 514, 280, 472, 199, 99, 40, 2, 1], [1, 3, 32, 127, 142, 550, 196, 598, 73, 183, 4, 11, 0], [1, 3, 32, 127, 143, 542, 224, 542, 143, 127, 32, 3, 1], [1, 3, 32, 128, 135, 570, 168, 612, 87, 155, 24, 4, 1], [1, 3, 32, 129, 127, 598, 112, 682, 31, 183, 16, 5, 1], [1, 3, 33, 113, 218, 326, 602, 122, 437, 7, 53, 5, 0], [1, 3, 33, 114, 210, 354, 546, 192, 381, 35, 45, 6, 0], [1, 3, 33, 115, 202, 382, 490, 262, 325, 63, 37, 7, 0], [1, 3, 33, 116, 194, 410, 434, 332, 269, 91, 29, 8, 0], [1, 3, 33, 116, 195, 402, 462, 276, 339, 35, 57, 0, 1], [1, 3, 33, 117, 186, 438, 378, 402, 213, 119, 21, 9, 0], [1, 3, 33, 117, 187, 430, 406, 346, 283, 63, 49, 1, 1], [1, 3, 33, 118, 178, 466, 322, 472, 157, 147, 13, 10, 0], [1, 3, 33, 118, 179, 458, 350, 416, 227, 91, 41, 2, 1], [1, 3, 33, 119, 170, 494, 266, 542, 101, 175, 5, 11, 0], [1, 3, 33, 119, 171, 486, 294, 486, 171, 119, 33, 3, 1], [1, 3, 33, 120, 163, 514, 238, 556, 115, 147, 25, 4, 1], [1, 3, 33, 121, 155, 542, 182, 626, 59, 175, 17, 5, 1], [1, 3, 33, 122, 147, 570, 126, 696, 3, 203, 9, 6, 1], [1, 3, 34, 106, 238, 298, 616, 136, 409, 27, 46, 6, 0], [1, 3, 34, 107, 230, 326, 560, 206, 353, 55, 38, 7, 0], [1, 3, 34, 108, 222, 354, 504, 276, 297, 83, 30, 8, 0], [1, 3, 34, 108, 223, 346, 532, 220, 367, 27, 58, 0, 1], [1, 3, 34, 109, 214, 382, 448, 346, 241, 111, 22, 9, 0], [1, 3, 34, 109, 215, 374, 476, 290, 311, 55, 50, 1, 1], [1, 3, 34, 110, 206, 410, 392, 416, 185, 139, 14, 10, 0], [1, 3, 34, 110, 207, 402, 420, 360, 255, 83, 42, 2, 1], [1, 3, 34, 111, 198, 438, 336, 486, 129, 167, 6, 11, 0], [1, 3, 34, 111, 199, 430, 364, 430, 199, 111, 34, 3, 1], [1, 3, 34, 112, 191, 458, 308, 500, 143, 139, 26, 4, 1], [1, 3, 34, 113, 183, 486, 252, 570, 87, 167, 18, 5, 1], [1, 3, 34, 114, 175, 514, 196, 640, 31, 195, 10, 6, 1], [1, 3, 35, 98, 266, 242, 686, 80, 437, 19, 47, 6, 0], [1, 3, 35, 99, 258, 270, 630, 150, 381, 47, 39, 7, 0], [1, 3, 35, 100, 250, 298, 574, 220, 325, 75, 31, 8, 0], [1, 3, 35, 100, 251, 290, 602, 164, 395, 19, 59, 0, 1], [1, 3, 35, 101, 242, 326, 518, 290, 269, 103, 23, 9, 0], [1, 3, 35, 101, 243, 318, 546, 234, 339, 47, 51, 1, 1], [1, 3, 35, 102, 234, 354, 462, 360, 213, 131, 15, 10, 0], [1, 3, 35, 102, 235, 346, 490, 304, 283, 75, 43, 2, 1], [1, 3, 35, 103, 226, 382, 406, 430, 157, 159, 7, 11, 0], [1, 3, 35, 103, 227, 374, 434, 374, 227, 103, 35, 3, 1], [1, 3, 35, 104, 219, 402, 378, 444, 171, 131, 27, 4, 1], [1, 3, 35, 105, 211, 430, 322, 514, 115, 159, 19, 5, 1], [1, 3, 35, 106, 203, 458, 266, 584, 59, 187, 11, 6, 1], [1, 3, 35, 107, 195, 486, 210, 654, 3, 215, 3, 7, 1], [1, 3, 35, 108, 188, 506, 182, 668, 17, 187, 23, 0, 2], [1, 3, 36, 90, 294, 186, 756, 24, 465, 11, 48, 6, 0], [1, 3, 36, 91, 286, 214, 700, 94, 409, 39, 40, 7, 0], [1, 3, 36, 92, 278, 242, 644, 164, 353, 67, 32, 8, 0], [1, 3, 36, 92, 279, 234, 672, 108, 423, 11, 60, 0, 1], [1, 3, 36, 93, 270, 270, 588, 234, 297, 95, 24, 9, 0], [1, 3, 36, 93, 271, 262, 616, 178, 367, 39, 52, 1, 1], [1, 3, 36, 94, 262, 298, 532, 304, 241, 123, 16, 10, 0], [1, 3, 36, 94, 263, 290, 560, 248, 311, 67, 44, 2, 1], [1, 3, 36, 95, 254, 326, 476, 374, 185, 151, 8, 11, 0], [1, 3, 36, 95, 255, 318, 504, 318, 255, 95, 36, 3, 1], [1, 3, 36, 96, 246, 354, 420, 444, 129, 179, 0, 12, 0], [1, 3, 36, 96, 247, 346, 448, 388, 199, 123, 28, 4, 1], [1, 3, 36, 97, 239, 374, 392, 458, 143, 151, 20, 5, 1], [1, 3, 36, 98, 231, 402, 336, 528, 87, 179, 12, 6, 1], [1, 3, 36, 99, 223, 430, 280, 598, 31, 207, 4, 7, 1], [1, 3, 36, 100, 216, 450, 252, 612, 45, 179, 24, 0, 2], [1, 3, 37, 83, 314, 158, 770, 38, 437, 31, 41, 7, 0], [1, 3, 37, 84, 306, 186, 714, 108, 381, 59, 33, 8, 0], [1, 3, 37, 84, 307, 178, 742, 52, 451, 3, 61, 0, 1], [1, 3, 37, 85, 298, 214, 658, 178, 325, 87, 25, 9, 0], [1, 3, 37, 85, 299, 206, 686, 122, 395, 31, 53, 1, 1], [1, 3, 37, 86, 290, 242, 602, 248, 269, 115, 17, 10, 0], [1, 3, 37, 86, 291, 234, 630, 192, 339, 59, 45, 2, 1], [1, 3, 37, 87, 282, 270, 546, 318, 213, 143, 9, 11, 0], [1, 3, 37, 87, 283, 262, 574, 262, 283, 87, 37, 3, 1], [1, 3, 37, 88, 274, 298, 490, 388, 157, 171, 1, 12, 0], [1, 3, 37, 88, 275, 290, 518, 332, 227, 115, 29, 4, 1], [1, 3, 37, 89, 267, 318, 462, 402, 171, 143, 21, 5, 1], [1, 3, 37, 90, 259, 346, 406, 472, 115, 171, 13, 6, 1], [1, 3, 37, 91, 251, 374, 350, 542, 59, 199, 5, 7, 1], [1, 3, 37, 92, 244, 394, 322, 556, 73, 171, 25, 0, 2], [1, 3, 37, 93, 236, 422, 266, 626, 17, 199, 17, 1, 2], [1, 3, 38, 76, 334, 130, 784, 52, 409, 51, 34, 8, 0], [1, 3, 38, 77, 326, 158, 728, 122, 353, 79, 26, 9, 0], [1, 3, 38, 77, 327, 150, 756, 66, 423, 23, 54, 1, 1], [1, 3, 38, 78, 318, 186, 672, 192, 297, 107, 18, 10, 0], [1, 3, 38, 78, 319, 178, 700, 136, 367, 51, 46, 2, 1], [1, 3, 38, 79, 310, 214, 616, 262, 241, 135, 10, 11, 0], [1, 3, 38, 79, 311, 206, 644, 206, 311, 79, 38, 3, 1], [1, 3, 38, 80, 302, 242, 560, 332, 185, 163, 2, 12, 0], [1, 3, 38, 80, 303, 234, 588, 276, 255, 107, 30, 4, 1], [1, 3, 38, 81, 295, 262, 532, 346, 199, 135, 22, 5, 1], [1, 3, 38, 82, 287, 290, 476, 416, 143, 163, 14, 6, 1], [1, 3, 38, 83, 279, 318, 420, 486, 87, 191, 6, 7, 1], [1, 3, 38, 84, 272, 338, 392, 500, 101, 163, 26, 0, 2], [1, 3, 38, 85, 264, 366, 336, 570, 45, 191, 18, 1, 2], [1, 3, 39, 69, 354, 102, 798, 66, 381, 71, 27, 9, 0], [1, 3, 39, 69, 355, 94, 826, 10, 451, 15, 55, 1, 1], [1, 3, 39, 70, 346, 130, 742, 136, 325, 99, 19, 10, 0], [1, 3, 39, 70, 347, 122, 770, 80, 395, 43, 47, 2, 1], [1, 3, 39, 71, 338, 158, 686, 206, 269, 127, 11, 11, 0], [1, 3, 39, 71, 339, 150, 714, 150, 339, 71, 39, 3, 1], [1, 3, 39, 72, 330, 186, 630, 276, 213, 155, 3, 12, 0], [1, 3, 39, 72, 331, 178, 658, 220, 283, 99, 31, 4, 1], [1, 3, 39, 73, 323, 206, 602, 290, 227, 127, 23, 5, 1], [1, 3, 39, 74, 315, 234, 546, 360, 171, 155, 15, 6, 1], [1, 3, 39, 75, 307, 262, 490, 430, 115, 183, 7, 7, 1], [1, 3, 39, 76, 300, 282, 462, 444, 129, 155, 27, 0, 2], [1, 3, 39, 77, 292, 310, 406, 514, 73, 183, 19, 1, 2], [1, 3, 39, 78, 284, 338, 350, 584, 17, 211, 11, 2, 2], [1, 3, 40, 61, 382, 46, 868, 10, 409, 63, 28, 9, 0], [1, 3, 40, 62, 374, 74, 812, 80, 353, 91, 20, 10, 0], [1, 3, 40, 62, 375, 66, 840, 24, 423, 35, 48, 2, 1], [1, 3, 40, 63, 366, 102, 756, 150, 297, 119, 12, 11, 0], [1, 3, 40, 63, 367, 94, 784, 94, 367, 63, 40, 3, 1], [1, 3, 40, 64, 358, 130, 700, 220, 241, 147, 4, 12, 0], [1, 3, 40, 64, 359, 122, 728, 164, 311, 91, 32, 4, 1], [1, 3, 40, 65, 351, 150, 672, 234, 255, 119, 24, 5, 1], [1, 3, 40, 66, 343, 178, 616, 304, 199, 147, 16, 6, 1], [1, 3, 40, 67, 335, 206, 560, 374, 143, 175, 8, 7, 1], [1, 3, 40, 68, 327, 234, 504, 444, 87, 203, 0, 8, 1], [1, 3, 40, 68, 328, 226, 532, 388, 157, 147, 28, 0, 2], [1, 3, 40, 69, 320, 254, 476, 458, 101, 175, 20, 1, 2], [1, 3, 40, 70, 312, 282, 420, 528, 45, 203, 12, 2, 2], [1, 3, 41, 54, 402, 18, 882, 24, 381, 83, 21, 10, 0], [1, 3, 41, 55, 394, 46, 826, 94, 325, 111, 13, 11, 0], [1, 3, 41, 55, 395, 38, 854, 38, 395, 55, 41, 3, 1], [1, 3, 41, 56, 386, 74, 770, 164, 269, 139, 5, 12, 0], [1, 3, 41, 56, 387, 66, 798, 108, 339, 83, 33, 4, 1], [1, 3, 41, 57, 379, 94, 742, 178, 283, 111, 25, 5, 1], [1, 3, 41, 58, 371, 122, 686, 248, 227, 139, 17, 6, 1], [1, 3, 41, 59, 363, 150, 630, 318, 171, 167, 9, 7, 1], [1, 3, 41, 60, 355, 178, 574, 388, 115, 195, 1, 8, 1], [1, 3, 41, 60, 356, 170, 602, 332, 185, 139, 29, 0, 2], [1, 3, 41, 61, 348, 198, 546, 402, 129, 167, 21, 1, 2], [1, 3, 41, 62, 340, 226, 490, 472, 73, 195, 13, 2, 2], [1, 3, 41, 63, 332, 254, 434, 542, 17, 223, 5, 3, 2], [1, 3, 42, 48, 414, 18, 840, 108, 297, 131, 6, 12, 0], [1, 3, 42, 48, 415, 10, 868, 52, 367, 75, 34, 4, 1], [1, 3, 42, 49, 407, 38, 812, 122, 311, 103, 26, 5, 1], [1, 3, 42, 50, 399, 66, 756, 192, 255, 131, 18, 6, 1], [1, 3, 42, 51, 391, 94, 700, 262, 199, 159, 10, 7, 1], [1, 3, 42, 52, 383, 122, 644, 332, 143, 187, 2, 8, 1], [1, 3, 42, 52, 384, 114, 672, 276, 213, 131, 30, 0, 2], [1, 3, 42, 53, 376, 142, 616, 346, 157, 159, 22, 1, 2], [1, 3, 42, 54, 368, 170, 560, 416, 101, 187, 14, 2, 2], [1, 3, 42, 55, 360, 198, 504, 486, 45, 215, 6, 3, 2], [1, 3, 43, 42, 427, 10, 826, 136, 283, 123, 19, 6, 1], [1, 3, 43, 43, 419, 38, 770, 206, 227, 151, 11, 7, 1], [1, 3, 43, 44, 411, 66, 714, 276, 171, 179, 3, 8, 1], [1, 3, 43, 44, 412, 58, 742, 220, 241, 123, 31, 0, 2], [1, 3, 43, 45, 404, 86, 686, 290, 185, 151, 23, 1, 2], [1, 3, 43, 46, 396, 114, 630, 360, 129, 179, 15, 2, 2], [1, 3, 43, 47, 388, 142, 574, 430, 73, 207, 7, 3, 2], [1, 3, 44, 36, 439, 10, 784, 220, 199, 171, 4, 8, 1], [1, 3, 44, 36, 440, 2, 812, 164, 269, 115, 32, 0, 2], [1, 3, 44, 37, 432, 30, 756, 234, 213, 143, 24, 1, 2], [1, 3, 44, 38, 424, 58, 700, 304, 157, 171, 16, 2, 2], [1, 3, 44, 39, 416, 86, 644, 374, 101, 199, 8, 3, 2], [1, 3, 44, 40, 408, 114, 588, 444, 45, 227, 0, 4, 2], [1, 3, 45, 30, 452, 2, 770, 248, 185, 163, 17, 2, 2], [1, 3, 45, 31, 444, 30, 714, 318, 129, 191, 9, 3, 2], [1, 3, 45, 32, 436, 58, 658, 388, 73, 219, 1, 4, 2], [1, 3, 46, 24, 464, 2, 728, 332, 101, 211, 2, 4, 2], [1, 4, 19, 187, 10, 676, 238, 346, 373, 0, 63, 3, 0], [1, 4, 19, 188, 2, 704, 182, 416, 317, 28, 55, 4, 0], [1, 4, 20, 180, 30, 648, 252, 360, 345, 20, 56, 4, 0], [1, 4, 20, 181, 22, 676, 196, 430, 289, 48, 48, 5, 0], [1, 4, 20, 182, 14, 704, 140, 500, 233, 76, 40, 6, 0], [1, 4, 20, 183, 6, 732, 84, 570, 177, 104, 32, 7, 0], [1, 4, 21, 172, 58, 592, 322, 304, 373, 12, 57, 4, 0], [1, 4, 21, 173, 50, 620, 266, 374, 317, 40, 49, 5, 0], [1, 4, 21, 174, 42, 648, 210, 444, 261, 68, 41, 6, 0], [1, 4, 21, 175, 34, 676, 154, 514, 205, 96, 33, 7, 0], [1, 4, 21, 176, 26, 704, 98, 584, 149, 124, 25, 8, 0], [1, 4, 21, 176, 27, 696, 126, 528, 219, 68, 53, 0, 1], [1, 4, 21, 177, 18, 732, 42, 654, 93, 152, 17, 9, 0], [1, 4, 21, 177, 19, 724, 70, 598, 163, 96, 45, 1, 1], [1, 4, 21, 178, 11, 752, 14, 668, 107, 124, 37, 2, 1], [1, 4, 22, 164, 86, 536, 392, 248, 401, 4, 58, 4, 0], [1, 4, 22, 165, 78, 564, 336, 318, 345, 32, 50, 5, 0], [1, 4, 22, 166, 70, 592, 280, 388, 289, 60, 42, 6, 0], [1, 4, 22, 167, 62, 620, 224, 458, 233, 88, 34, 7, 0], [1, 4, 22, 168, 54, 648, 168, 528, 177, 116, 26, 8, 0], [1, 4, 22, 168, 55, 640, 196, 472, 247, 60, 54, 0, 1], [1, 4, 22, 169, 46, 676, 112, 598, 121, 144, 18, 9, 0], [1, 4, 22, 169, 47, 668, 140, 542, 191, 88, 46, 1, 1], [1, 4, 22, 170, 38, 704, 56, 668, 65, 172, 10, 10, 0], [1, 4, 22, 170, 39, 696, 84, 612, 135, 116, 38, 2, 1], [1, 4, 22, 171, 30, 732, 0, 738, 9, 200, 2, 11, 0], [1, 4, 22, 171, 31, 724, 28, 682, 79, 144, 30, 3, 1], [1, 4, 23, 157, 106, 508, 406, 262, 373, 24, 51, 5, 0], [1, 4, 23, 158, 98, 536, 350, 332, 317, 52, 43, 6, 0], [1, 4, 23, 159, 90, 564, 294, 402, 261, 80, 35, 7, 0], [1, 4, 23, 160, 82, 592, 238, 472, 205, 108, 27, 8, 0], [1, 4, 23, 160, 83, 584, 266, 416, 275, 52, 55, 0, 1], [1, 4, 23, 161, 74, 620, 182, 542, 149, 136, 19, 9, 0], [1, 4, 23, 161, 75, 612, 210, 486, 219, 80, 47, 1, 1], [1, 4, 23, 162, 66, 648, 126, 612, 93, 164, 11, 10, 0], [1, 4, 23, 162, 67, 640, 154, 556, 163, 108, 39, 2, 1], [1, 4, 23, 163, 58, 676, 70, 682, 37, 192, 3, 11, 0], [1, 4, 23, 163, 59, 668, 98, 626, 107, 136, 31, 3, 1], [1, 4, 23, 164, 51, 696, 42, 696, 51, 164, 23, 4, 1], [1, 4, 24, 149, 134, 452, 476, 206, 401, 16, 52, 5, 0], [1, 4, 24, 150, 126, 480, 420, 276, 345, 44, 44, 6, 0], [1, 4, 24, 151, 118, 508, 364, 346, 289, 72, 36, 7, 0], [1, 4, 24, 152, 110, 536, 308, 416, 233, 100, 28, 8, 0], [1, 4, 24, 152, 111, 528, 336, 360, 303, 44, 56, 0, 1], [1, 4, 24, 153, 102, 564, 252, 486, 177, 128, 20, 9, 0], [1, 4, 24, 153, 103, 556, 280, 430, 247, 72, 48, 1, 1], [1, 4, 24, 154, 94, 592, 196, 556, 121, 156, 12, 10, 0], [1, 4, 24, 154, 95, 584, 224, 500, 191, 100, 40, 2, 1], [1, 4, 24, 155, 86, 620, 140, 626, 65, 184, 4, 11, 0], [1, 4, 24, 155, 87, 612, 168, 570, 135, 128, 32, 3, 1], [1, 4, 24, 156, 79, 640, 112, 640, 79, 156, 24, 4, 1], [1, 4, 24, 157, 71, 668, 56, 710, 23, 184, 16, 5, 1], [1, 4, 25, 141, 162, 396, 546, 150, 429, 8, 53, 5, 0], [1, 4, 25, 142, 154, 424, 490, 220, 373, 36, 45, 6, 0], [1, 4, 25, 143, 146, 452, 434, 290, 317, 64, 37, 7, 0], [1, 4, 25, 144, 138, 480, 378, 360, 261, 92, 29, 8, 0], [1, 4, 25, 144, 139, 472, 406, 304, 331, 36, 57, 0, 1], [1, 4, 25, 145, 130, 508, 322, 430, 205, 120, 21, 9, 0], [1, 4, 25, 145, 131, 500, 350, 374, 275, 64, 49, 1, 1], [1, 4, 25, 146, 122, 536, 266, 500, 149, 148, 13, 10, 0], [1, 4, 25, 146, 123, 528, 294, 444, 219, 92, 41, 2, 1], [1, 4, 25, 147, 114, 564, 210, 570, 93, 176, 5, 11, 0], [1, 4, 25, 147, 115, 556, 238, 514, 163, 120, 33, 3, 1], [1, 4, 25, 148, 107, 584, 182, 584, 107, 148, 25, 4, 1], [1, 4, 25, 149, 99, 612, 126, 654, 51, 176, 17, 5, 1], [1, 4, 26, 133, 190, 340, 616, 94, 457, 0, 54, 5, 0], [1, 4, 26, 134, 182, 368, 560, 164, 401, 28, 46, 6, 0], [1, 4, 26, 135, 174, 396, 504, 234, 345, 56, 38, 7, 0], [1, 4, 26, 136, 166, 424, 448, 304, 289, 84, 30, 8, 0], [1, 4, 26, 136, 167, 416, 476, 248, 359, 28, 58, 0, 1], [1, 4, 26, 137, 158, 452, 392, 374, 233, 112, 22, 9, 0], [1, 4, 26, 137, 159, 444, 420, 318, 303, 56, 50, 1, 1], [1, 4, 26, 138, 150, 480, 336, 444, 177, 140, 14, 10, 0], [1, 4, 26, 138, 151, 472, 364, 388, 247, 84, 42, 2, 1], [1, 4, 26, 139, 142, 508, 280, 514, 121, 168, 6, 11, 0], [1, 4, 26, 139, 143, 500, 308, 458, 191, 112, 34, 3, 1], [1, 4, 26, 140, 135, 528, 252, 528, 135, 140, 26, 4, 1], [1, 4, 26, 141, 127, 556, 196, 598, 79, 168, 18, 5, 1], [1, 4, 26, 142, 119, 584, 140, 668, 23, 196, 10, 6, 1], [1, 4, 27, 126, 210, 312, 630, 108, 429, 20, 47, 6, 0], [1, 4, 27, 127, 202, 340, 574, 178, 373, 48, 39, 7, 0], [1, 4, 27, 128, 194, 368, 518, 248, 317, 76, 31, 8, 0], [1, 4, 27, 128, 195, 360, 546, 192, 387, 20, 59, 0, 1], [1, 4, 27, 129, 186, 396, 462, 318, 261, 104, 23, 9, 0], [1, 4, 27, 129, 187, 388, 490, 262, 331, 48, 51, 1, 1], [1, 4, 27, 130, 178, 424, 406, 388, 205, 132, 15, 10, 0], [1, 4, 27, 130, 179, 416, 434, 332, 275, 76, 43, 2, 1], [1, 4, 27, 131, 170, 452, 350, 458, 149, 160, 7, 11, 0], [1, 4, 27, 131, 171, 444, 378, 402, 219, 104, 35, 3, 1], [1, 4, 27, 132, 163, 472, 322, 472, 163, 132, 27, 4, 1], [1, 4, 27, 133, 155, 500, 266, 542, 107, 160, 19, 5, 1], [1, 4, 27, 134, 147, 528, 210, 612, 51, 188, 11, 6, 1], [1, 4, 27, 136, 132, 576, 126, 696, 9, 188, 23, 0, 2], [1, 4, 28, 118, 238, 256, 700, 52, 457, 12, 48, 6, 0], [1, 4, 28, 119, 230, 284, 644, 122, 401, 40, 40, 7, 0], [1, 4, 28, 120, 222, 312, 588, 192, 345, 68, 32, 8, 0], [1, 4, 28, 120, 223, 304, 616, 136, 415, 12, 60, 0, 1], [1, 4, 28, 121, 214, 340, 532, 262, 289, 96, 24, 9, 0], [1, 4, 28, 121, 215, 332, 560, 206, 359, 40, 52, 1, 1], [1, 4, 28, 122, 206, 368, 476, 332, 233, 124, 16, 10, 0], [1, 4, 28, 122, 207, 360, 504, 276, 303, 68, 44, 2, 1], [1, 4, 28, 123, 198, 396, 420, 402, 177, 152, 8, 11, 0], [1, 4, 28, 123, 199, 388, 448, 346, 247, 96, 36, 3, 1], [1, 4, 28, 124, 190, 424, 364, 472, 121, 180, 0, 12, 0], [1, 4, 28, 124, 191, 416, 392, 416, 191, 124, 28, 4, 1], [1, 4, 28, 125, 183, 444, 336, 486, 135, 152, 20, 5, 1], [1, 4, 28, 126, 175, 472, 280, 556, 79, 180, 12, 6, 1], [1, 4, 28, 127, 167, 500, 224, 626, 23, 208, 4, 7, 1], [1, 4, 28, 128, 160, 520, 196, 640, 37, 180, 24, 0, 2], [1, 4, 29, 111, 258, 228, 714, 66, 429, 32, 41, 7, 0], [1, 4, 29, 112, 250, 256, 658, 136, 373, 60, 33, 8, 0], [1, 4, 29, 112, 251, 248, 686, 80, 443, 4, 61, 0, 1], [1, 4, 29, 113, 242, 284, 602, 206, 317, 88, 25, 9, 0], [1, 4, 29, 113, 243, 276, 630, 150, 387, 32, 53, 1, 1], [1, 4, 29, 114, 234, 312, 546, 276, 261, 116, 17, 10, 0], [1, 4, 29, 114, 235, 304, 574, 220, 331, 60, 45, 2, 1], [1, 4, 29, 115, 226, 340, 490, 346, 205, 144, 9, 11, 0], [1, 4, 29, 115, 227, 332, 518, 290, 275, 88, 37, 3, 1], [1, 4, 29, 116, 218, 368, 434, 416, 149, 172, 1, 12, 0], [1, 4, 29, 116, 219, 360, 462, 360, 219, 116, 29, 4, 1], [1, 4, 29, 117, 211, 388, 406, 430, 163, 144, 21, 5, 1], [1, 4, 29, 118, 203, 416, 350, 500, 107, 172, 13, 6, 1], [1, 4, 29, 119, 195, 444, 294, 570, 51, 200, 5, 7, 1], [1, 4, 29, 120, 188, 464, 266, 584, 65, 172, 25, 0, 2], [1, 4, 29, 121, 180, 492, 210, 654, 9, 200, 17, 1, 2], [1, 4, 30, 103, 286, 172, 784, 10, 457, 24, 42, 7, 0], [1, 4, 30, 104, 278, 200, 728, 80, 401, 52, 34, 8, 0], [1, 4, 30, 105, 270, 228, 672, 150, 345, 80, 26, 9, 0], [1, 4, 30, 105, 271, 220, 700, 94, 415, 24, 54, 1, 1], [1, 4, 30, 106, 262, 256, 616, 220, 289, 108, 18, 10, 0], [1, 4, 30, 106, 263, 248, 644, 164, 359, 52, 46, 2, 1], [1, 4, 30, 107, 254, 284, 560, 290, 233, 136, 10, 11, 0], [1, 4, 30, 107, 255, 276, 588, 234, 303, 80, 38, 3, 1], [1, 4, 30, 108, 246, 312, 504, 360, 177, 164, 2, 12, 0], [1, 4, 30, 108, 247, 304, 532, 304, 247, 108, 30, 4, 1], [1, 4, 30, 109, 239, 332, 476, 374, 191, 136, 22, 5, 1], [1, 4, 30, 110, 231, 360, 420, 444, 135, 164, 14, 6, 1], [1, 4, 30, 111, 223, 388, 364, 514, 79, 192, 6, 7, 1], [1, 4, 30, 112, 216, 408, 336, 528, 93, 164, 26, 0, 2], [1, 4, 30, 113, 208, 436, 280, 598, 37, 192, 18, 1, 2], [1, 4, 31, 96, 306, 144, 798, 24, 429, 44, 35, 8, 0], [1, 4, 31, 97, 298, 172, 742, 94, 373, 72, 27, 9, 0], [1, 4, 31, 97, 299, 164, 770, 38, 443, 16, 55, 1, 1], [1, 4, 31, 98, 290, 200, 686, 164, 317, 100, 19, 10, 0], [1, 4, 31, 98, 291, 192, 714, 108, 387, 44, 47, 2, 1], [1, 4, 31, 99, 282, 228, 630, 234, 261, 128, 11, 11, 0], [1, 4, 31, 99, 283, 220, 658, 178, 331, 72, 39, 3, 1], [1, 4, 31, 100, 274, 256, 574, 304, 205, 156, 3, 12, 0], [1, 4, 31, 100, 275, 248, 602, 248, 275, 100, 31, 4, 1], [1, 4, 31, 101, 267, 276, 546, 318, 219, 128, 23, 5, 1], [1, 4, 31, 102, 259, 304, 490, 388, 163, 156, 15, 6, 1], [1, 4, 31, 103, 251, 332, 434, 458, 107, 184, 7, 7, 1], [1, 4, 31, 104, 244, 352, 406, 472, 121, 156, 27, 0, 2], [1, 4, 31, 105, 236, 380, 350, 542, 65, 184, 19, 1, 2], [1, 4, 31, 106, 228, 408, 294, 612, 9, 212, 11, 2, 2], [1, 4, 32, 89, 326, 116, 812, 38, 401, 64, 28, 9, 0], [1, 4, 32, 90, 318, 144, 756, 108, 345, 92, 20, 10, 0], [1, 4, 32, 90, 319, 136, 784, 52, 415, 36, 48, 2, 1], [1, 4, 32, 91, 310, 172, 700, 178, 289, 120, 12, 11, 0], [1, 4, 32, 91, 311, 164, 728, 122, 359, 64, 40, 3, 1], [1, 4, 32, 92, 302, 200, 644, 248, 233, 148, 4, 12, 0], [1, 4, 32, 92, 303, 192, 672, 192, 303, 92, 32, 4, 1], [1, 4, 32, 93, 295, 220, 616, 262, 247, 120, 24, 5, 1], [1, 4, 32, 94, 287, 248, 560, 332, 191, 148, 16, 6, 1], [1, 4, 32, 95, 279, 276, 504, 402, 135, 176, 8, 7, 1], [1, 4, 32, 96, 271, 304, 448, 472, 79, 204, 0, 8, 1], [1, 4, 32, 96, 272, 296, 476, 416, 149, 148, 28, 0, 2], [1, 4, 32, 97, 264, 324, 420, 486, 93, 176, 20, 1, 2], [1, 4, 32, 98, 256, 352, 364, 556, 37, 204, 12, 2, 2], [1, 4, 33, 82, 346, 88, 826, 52, 373, 84, 21, 10, 0], [1, 4, 33, 83, 338, 116, 770, 122, 317, 112, 13, 11, 0], [1, 4, 33, 83, 339, 108, 798, 66, 387, 56, 41, 3, 1], [1, 4, 33, 84, 330, 144, 714, 192, 261, 140, 5, 12, 0], [1, 4, 33, 84, 331, 136, 742, 136, 331, 84, 33, 4, 1], [1, 4, 33, 85, 323, 164, 686, 206, 275, 112, 25, 5, 1], [1, 4, 33, 86, 315, 192, 630, 276, 219, 140, 17, 6, 1], [1, 4, 33, 87, 307, 220, 574, 346, 163, 168, 9, 7, 1], [1, 4, 33, 88, 299, 248, 518, 416, 107, 196, 1, 8, 1], [1, 4, 33, 88, 300, 240, 546, 360, 177, 140, 29, 0, 2], [1, 4, 33, 89, 292, 268, 490, 430, 121, 168, 21, 1, 2], [1, 4, 33, 90, 284, 296, 434, 500, 65, 196, 13, 2, 2], [1, 4, 33, 91, 276, 324, 378, 570, 9, 224, 5, 3, 2], [1, 4, 34, 75, 366, 60, 840, 66, 345, 104, 14, 11, 0], [1, 4, 34, 75, 367, 52, 868, 10, 415, 48, 42, 3, 1], [1, 4, 34, 76, 358, 88, 784, 136, 289, 132, 6, 12, 0], [1, 4, 34, 76, 359, 80, 812, 80, 359, 76, 34, 4, 1], [1, 4, 34, 77, 351, 108, 756, 150, 303, 104, 26, 5, 1], [1, 4, 34, 78, 343, 136, 700, 220, 247, 132, 18, 6, 1], [1, 4, 34, 79, 335, 164, 644, 290, 191, 160, 10, 7, 1], [1, 4, 34, 80, 327, 192, 588, 360, 135, 188, 2, 8, 1], [1, 4, 34, 80, 328, 184, 616, 304, 205, 132, 30, 0, 2], [1, 4, 34, 81, 320, 212, 560, 374, 149, 160, 22, 1, 2], [1, 4, 34, 82, 312, 240, 504, 444, 93, 188, 14, 2, 2], [1, 4, 34, 83, 304, 268, 448, 514, 37, 216, 6, 3, 2], [1, 4, 35, 67, 394, 4, 910, 10, 373, 96, 15, 11, 0], [1, 4, 35, 68, 386, 32, 854, 80, 317, 124, 7, 12, 0], [1, 4, 35, 68, 387, 24, 882, 24, 387, 68, 35, 4, 1], [1, 4, 35, 69, 379, 52, 826, 94, 331, 96, 27, 5, 1], [1, 4, 35, 70, 371, 80, 770, 164, 275, 124, 19, 6, 1], [1, 4, 35, 71, 363, 108, 714, 234, 219, 152, 11, 7, 1], [1, 4, 35, 72, 355, 136, 658, 304, 163, 180, 3, 8, 1], [1, 4, 35, 72, 356, 128, 686, 248, 233, 124, 31, 0, 2], [1, 4, 35, 73, 348, 156, 630, 318, 177, 152, 23, 1, 2], [1, 4, 35, 74, 340, 184, 574, 388, 121, 180, 15, 2, 2], [1, 4, 35, 75, 332, 212, 518, 458, 65, 208, 7, 3, 2], [1, 4, 36, 61, 406, 4, 868, 94, 289, 144, 0, 13, 0], [1, 4, 36, 62, 399, 24, 840, 108, 303, 116, 20, 6, 1], [1, 4, 36, 63, 391, 52, 784, 178, 247, 144, 12, 7, 1], [1, 4, 36, 64, 383, 80, 728, 248, 191, 172, 4, 8, 1], [1, 4, 36, 64, 384, 72, 756, 192, 261, 116, 32, 0, 2], [1, 4, 36, 65, 376, 100, 700, 262, 205, 144, 24, 1, 2], [1, 4, 36, 66, 368, 128, 644, 332, 149, 172, 16, 2, 2], [1, 4, 36, 67, 360, 156, 588, 402, 93, 200, 8, 3, 2], [1, 4, 36, 68, 352, 184, 532, 472, 37, 228, 0, 4, 2], [1, 4, 37, 56, 411, 24, 798, 192, 219, 164, 5, 8, 1], [1, 4, 37, 56, 412, 16, 826, 136, 289, 108, 33, 0, 2], [1, 4, 37, 57, 404, 44, 770, 206, 233, 136, 25, 1, 2], [1, 4, 37, 58, 396, 72, 714, 276, 177, 164, 17, 2, 2], [1, 4, 37, 59, 388, 100, 658, 346, 121, 192, 9, 3, 2], [1, 4, 37, 60, 380, 128, 602, 416, 65, 220, 1, 4, 2], [1, 4, 38, 50, 424, 16, 784, 220, 205, 156, 18, 2, 2], [1, 4, 38, 51, 416, 44, 728, 290, 149, 184, 10, 3, 2], [1, 4, 38, 52, 408, 72, 672, 360, 93, 212, 2, 4, 2], [1, 4, 39, 44, 436, 16, 742, 304, 121, 204, 3, 4, 2], [1, 4, 41, 32, 461, 8, 686, 416, 23, 244, 1, 0, 3], [1, 5, 13, 200, 2, 662, 266, 332, 365, 13, 57, 4, 0], [1, 5, 14, 192, 30, 606, 336, 276, 393, 5, 58, 4, 0], [1, 5, 14, 193, 22, 634, 280, 346, 337, 33, 50, 5, 0], [1, 5, 14, 194, 14, 662, 224, 416, 281, 61, 42, 6, 0], [1, 5, 14, 195, 6, 690, 168, 486, 225, 89, 34, 7, 0], [1, 5, 15, 185, 50, 578, 350, 290, 365, 25, 51, 5, 0], [1, 5, 15, 186, 42, 606, 294, 360, 309, 53, 43, 6, 0], [1, 5, 15, 187, 34, 634, 238, 430, 253, 81, 35, 7, 0], [1, 5, 15, 188, 26, 662, 182, 500, 197, 109, 27, 8, 0], [1, 5, 15, 188, 27, 654, 210, 444, 267, 53, 55, 0, 1], [1, 5, 15, 189, 18, 690, 126, 570, 141, 137, 19, 9, 0], [1, 5, 15, 189, 19, 682, 154, 514, 211, 81, 47, 1, 1], [1, 5, 15, 190, 10, 718, 70, 640, 85, 165, 11, 10, 0], [1, 5, 15, 190, 11, 710, 98, 584, 155, 109, 39, 2, 1], [1, 5, 15, 191, 2, 746, 14, 710, 29, 193, 3, 11, 0], [1, 5, 15, 191, 3, 738, 42, 654, 99, 137, 31, 3, 1], [1, 5, 16, 177, 78, 522, 420, 234, 393, 17, 52, 5, 0], [1, 5, 16, 178, 70, 550, 364, 304, 337, 45, 44, 6, 0], [1, 5, 16, 179, 62, 578, 308, 374, 281, 73, 36, 7, 0], [1, 5, 16, 180, 54, 606, 252, 444, 225, 101, 28, 8, 0], [1, 5, 16, 180, 55, 598, 280, 388, 295, 45, 56, 0, 1], [1, 5, 16, 181, 46, 634, 196, 514, 169, 129, 20, 9, 0], [1, 5, 16, 181, 47, 626, 224, 458, 239, 73, 48, 1, 1], [1, 5, 16, 182, 38, 662, 140, 584, 113, 157, 12, 10, 0], [1, 5, 16, 182, 39, 654, 168, 528, 183, 101, 40, 2, 1], [1, 5, 16, 183, 30, 690, 84, 654, 57, 185, 4, 11, 0], [1, 5, 16, 183, 31, 682, 112, 598, 127, 129, 32, 3, 1], [1, 5, 16, 184, 23, 710, 56, 668, 71, 157, 24, 4, 1], [1, 5, 16, 185, 15, 738, 0, 738, 15, 185, 16, 5, 1], [1, 5, 17, 169, 106, 466, 490, 178, 421, 9, 53, 5, 0], [1, 5, 17, 170, 98, 494, 434, 248, 365, 37, 45, 6, 0], [1, 5, 17, 171, 90, 522, 378, 318, 309, 65, 37, 7, 0], [1, 5, 17, 172, 82, 550, 322, 388, 253, 93, 29, 8, 0], [1, 5, 17, 172, 83, 542, 350, 332, 323, 37, 57, 0, 1], [1, 5, 17, 173, 74, 578, 266, 458, 197, 121, 21, 9, 0], [1, 5, 17, 173, 75, 570, 294, 402, 267, 65, 49, 1, 1], [1, 5, 17, 174, 66, 606, 210, 528, 141, 149, 13, 10, 0], [1, 5, 17, 174, 67, 598, 238, 472, 211, 93, 41, 2, 1], [1, 5, 17, 175, 58, 634, 154, 598, 85, 177, 5, 11, 0], [1, 5, 17, 175, 59, 626, 182, 542, 155, 121, 33, 3, 1], [1, 5, 17, 176, 51, 654, 126, 612, 99, 149, 25, 4, 1], [1, 5, 17, 177, 43, 682, 70, 682, 43, 177, 17, 5, 1], [1, 5, 18, 161, 134, 410, 560, 122, 449, 1, 54, 5, 0], [1, 5, 18, 162, 126, 438, 504, 192, 393, 29, 46, 6, 0], [1, 5, 18, 163, 118, 466, 448, 262, 337, 57, 38, 7, 0], [1, 5, 18, 164, 110, 494, 392, 332, 281, 85, 30, 8, 0], [1, 5, 18, 164, 111, 486, 420, 276, 351, 29, 58, 0, 1], [1, 5, 18, 165, 102, 522, 336, 402, 225, 113, 22, 9, 0], [1, 5, 18, 165, 103, 514, 364, 346, 295, 57, 50, 1, 1], [1, 5, 18, 166, 94, 550, 280, 472, 169, 141, 14, 10, 0], [1, 5, 18, 166, 95, 542, 308, 416, 239, 85, 42, 2, 1], [1, 5, 18, 167, 86, 578, 224, 542, 113, 169, 6, 11, 0], [1, 5, 18, 167, 87, 570, 252, 486, 183, 113, 34, 3, 1], [1, 5, 18, 168, 79, 598, 196, 556, 127, 141, 26, 4, 1], [1, 5, 18, 169, 71, 626, 140, 626, 71, 169, 18, 5, 1], [1, 5, 18, 170, 63, 654, 84, 696, 15, 197, 10, 6, 1], [1, 5, 19, 154, 154, 382, 574, 136, 421, 21, 47, 6, 0], [1, 5, 19, 155, 146, 410, 518, 206, 365, 49, 39, 7, 0], [1, 5, 19, 156, 138, 438, 462, 276, 309, 77, 31, 8, 0], [1, 5, 19, 156, 139, 430, 490, 220, 379, 21, 59, 0, 1], [1, 5, 19, 157, 130, 466, 406, 346, 253, 105, 23, 9, 0], [1, 5, 19, 157, 131, 458, 434, 290, 323, 49, 51, 1, 1], [1, 5, 19, 158, 122, 494, 350, 416, 197, 133, 15, 10, 0], [1, 5, 19, 158, 123, 486, 378, 360, 267, 77, 43, 2, 1], [1, 5, 19, 159, 114, 522, 294, 486, 141, 161, 7, 11, 0], [1, 5, 19, 159, 115, 514, 322, 430, 211, 105, 35, 3, 1], [1, 5, 19, 160, 107, 542, 266, 500, 155, 133, 27, 4, 1], [1, 5, 19, 161, 99, 570, 210, 570, 99, 161, 19, 5, 1], [1, 5, 19, 162, 91, 598, 154, 640, 43, 189, 11, 6, 1], [1, 5, 19, 164, 76, 646, 70, 724, 1, 189, 23, 0, 2], [1, 5, 20, 146, 182, 326, 644, 80, 449, 13, 48, 6, 0], [1, 5, 20, 147, 174, 354, 588, 150, 393, 41, 40, 7, 0], [1, 5, 20, 148, 166, 382, 532, 220, 337, 69, 32, 8, 0], [1, 5, 20, 148, 167, 374, 560, 164, 407, 13, 60, 0, 1], [1, 5, 20, 149, 158, 410, 476, 290, 281, 97, 24, 9, 0], [1, 5, 20, 149, 159, 402, 504, 234, 351, 41, 52, 1, 1], [1, 5, 20, 150, 150, 438, 420, 360, 225, 125, 16, 10, 0], [1, 5, 20, 150, 151, 430, 448, 304, 295, 69, 44, 2, 1], [1, 5, 20, 151, 142, 466, 364, 430, 169, 153, 8, 11, 0], [1, 5, 20, 151, 143, 458, 392, 374, 239, 97, 36, 3, 1], [1, 5, 20, 152, 134, 494, 308, 500, 113, 181, 0, 12, 0], [1, 5, 20, 152, 135, 486, 336, 444, 183, 125, 28, 4, 1], [1, 5, 20, 153, 127, 514, 280, 514, 127, 153, 20, 5, 1], [1, 5, 20, 154, 119, 542, 224, 584, 71, 181, 12, 6, 1], [1, 5, 20, 155, 111, 570, 168, 654, 15, 209, 4, 7, 1], [1, 5, 20, 156, 104, 590, 140, 668, 29, 181, 24, 0, 2], [1, 5, 21, 138, 210, 270, 714, 24, 477, 5, 49, 6, 0], [1, 5, 21, 139, 202, 298, 658, 94, 421, 33, 41, 7, 0], [1, 5, 21, 140, 194, 326, 602, 164, 365, 61, 33, 8, 0], [1, 5, 21, 140, 195, 318, 630, 108, 435, 5, 61, 0, 1], [1, 5, 21, 141, 186, 354, 546, 234, 309, 89, 25, 9, 0], [1, 5, 21, 141, 187, 346, 574, 178, 379, 33, 53, 1, 1], [1, 5, 21, 142, 178, 382, 490, 304, 253, 117, 17, 10, 0], [1, 5, 21, 142, 179, 374, 518, 248, 323, 61, 45, 2, 1], [1, 5, 21, 143, 170, 410, 434, 374, 197, 145, 9, 11, 0], [1, 5, 21, 143, 171, 402, 462, 318, 267, 89, 37, 3, 1], [1, 5, 21, 144, 162, 438, 378, 444, 141, 173, 1, 12, 0], [1, 5, 21, 144, 163, 430, 406, 388, 211, 117, 29, 4, 1], [1, 5, 21, 145, 155, 458, 350, 458, 155, 145, 21, 5, 1], [1, 5, 21, 146, 147, 486, 294, 528, 99, 173, 13, 6, 1], [1, 5, 21, 147, 139, 514, 238, 598, 43, 201, 5, 7, 1], [1, 5, 21, 148, 132, 534, 210, 612, 57, 173, 25, 0, 2], [1, 5, 21, 149, 124, 562, 154, 682, 1, 201, 17, 1, 2], [1, 5, 22, 131, 230, 242, 728, 38, 449, 25, 42, 7, 0], [1, 5, 22, 132, 222, 270, 672, 108, 393, 53, 34, 8, 0], [1, 5, 22, 133, 214, 298, 616, 178, 337, 81, 26, 9, 0], [1, 5, 22, 133, 215, 290, 644, 122, 407, 25, 54, 1, 1], [1, 5, 22, 134, 206, 326, 560, 248, 281, 109, 18, 10, 0], [1, 5, 22, 134, 207, 318, 588, 192, 351, 53, 46, 2, 1], [1, 5, 22, 135, 198, 354, 504, 318, 225, 137, 10, 11, 0], [1, 5, 22, 135, 199, 346, 532, 262, 295, 81, 38, 3, 1], [1, 5, 22, 136, 190, 382, 448, 388, 169, 165, 2, 12, 0], [1, 5, 22, 136, 191, 374, 476, 332, 239, 109, 30, 4, 1], [1, 5, 22, 137, 183, 402, 420, 402, 183, 137, 22, 5, 1], [1, 5, 22, 138, 175, 430, 364, 472, 127, 165, 14, 6, 1], [1, 5, 22, 139, 167, 458, 308, 542, 71, 193, 6, 7, 1], [1, 5, 22, 140, 160, 478, 280, 556, 85, 165, 26, 0, 2], [1, 5, 22, 141, 152, 506, 224, 626, 29, 193, 18, 1, 2], [1, 5, 23, 124, 250, 214, 742, 52, 421, 45, 35, 8, 0], [1, 5, 23, 125, 242, 242, 686, 122, 365, 73, 27, 9, 0], [1, 5, 23, 125, 243, 234, 714, 66, 435, 17, 55, 1, 1], [1, 5, 23, 126, 234, 270, 630, 192, 309, 101, 19, 10, 0], [1, 5, 23, 126, 235, 262, 658, 136, 379, 45, 47, 2, 1], [1, 5, 23, 127, 226, 298, 574, 262, 253, 129, 11, 11, 0], [1, 5, 23, 127, 227, 290, 602, 206, 323, 73, 39, 3, 1], [1, 5, 23, 128, 218, 326, 518, 332, 197, 157, 3, 12, 0], [1, 5, 23, 128, 219, 318, 546, 276, 267, 101, 31, 4, 1], [1, 5, 23, 129, 211, 346, 490, 346, 211, 129, 23, 5, 1], [1, 5, 23, 130, 203, 374, 434, 416, 155, 157, 15, 6, 1], [1, 5, 23, 131, 195, 402, 378, 486, 99, 185, 7, 7, 1], [1, 5, 23, 132, 188, 422, 350, 500, 113, 157, 27, 0, 2], [1, 5, 23, 133, 180, 450, 294, 570, 57, 185, 19, 1, 2], [1, 5, 23, 134, 172, 478, 238, 640, 1, 213, 11, 2, 2], [1, 5, 24, 117, 270, 186, 756, 66, 393, 65, 28, 9, 0], [1, 5, 24, 117, 271, 178, 784, 10, 463, 9, 56, 1, 1], [1, 5, 24, 118, 262, 214, 700, 136, 337, 93, 20, 10, 0], [1, 5, 24, 118, 263, 206, 728, 80, 407, 37, 48, 2, 1], [1, 5, 24, 119, 254, 242, 644, 206, 281, 121, 12, 11, 0], [1, 5, 24, 119, 255, 234, 672, 150, 351, 65, 40, 3, 1], [1, 5, 24, 120, 246, 270, 588, 276, 225, 149, 4, 12, 0], [1, 5, 24, 120, 247, 262, 616, 220, 295, 93, 32, 4, 1], [1, 5, 24, 121, 239, 290, 560, 290, 239, 121, 24, 5, 1], [1, 5, 24, 122, 231, 318, 504, 360, 183, 149, 16, 6, 1], [1, 5, 24, 123, 223, 346, 448, 430, 127, 177, 8, 7, 1], [1, 5, 24, 124, 215, 374, 392, 500, 71, 205, 0, 8, 1], [1, 5, 24, 124, 216, 366, 420, 444, 141, 149, 28, 0, 2], [1, 5, 24, 125, 208, 394, 364, 514, 85, 177, 20, 1, 2], [1, 5, 24, 126, 200, 422, 308, 584, 29, 205, 12, 2, 2], [1, 5, 25, 109, 298, 130, 826, 10, 421, 57, 29, 9, 0], [1, 5, 25, 110, 290, 158, 770, 80, 365, 85, 21, 10, 0], [1, 5, 25, 110, 291, 150, 798, 24, 435, 29, 49, 2, 1], [1, 5, 25, 111, 282, 186, 714, 150, 309, 113, 13, 11, 0], [1, 5, 25, 111, 283, 178, 742, 94, 379, 57, 41, 3, 1], [1, 5, 25, 112, 274, 214, 658, 220, 253, 141, 5, 12, 0], [1, 5, 25, 112, 275, 206, 686, 164, 323, 85, 33, 4, 1], [1, 5, 25, 113, 267, 234, 630, 234, 267, 113, 25, 5, 1], [1, 5, 25, 114, 259, 262, 574, 304, 211, 141, 17, 6, 1], [1, 5, 25, 115, 251, 290, 518, 374, 155, 169, 9, 7, 1], [1, 5, 25, 116, 243, 318, 462, 444, 99, 197, 1, 8, 1], [1, 5, 25, 116, 244, 310, 490, 388, 169, 141, 29, 0, 2], [1, 5, 25, 117, 236, 338, 434, 458, 113, 169, 21, 1, 2], [1, 5, 25, 118, 228, 366, 378, 528, 57, 197, 13, 2, 2], [1, 5, 25, 119, 220, 394, 322, 598, 1, 225, 5, 3, 2], [1, 5, 26, 102, 318, 102, 840, 24, 393, 77, 22, 10, 0], [1, 5, 26, 103, 310, 130, 784, 94, 337, 105, 14, 11, 0], [1, 5, 26, 103, 311, 122, 812, 38, 407, 49, 42, 3, 1], [1, 5, 26, 104, 302, 158, 728, 164, 281, 133, 6, 12, 0], [1, 5, 26, 104, 303, 150, 756, 108, 351, 77, 34, 4, 1], [1, 5, 26, 105, 295, 178, 700, 178, 295, 105, 26, 5, 1], [1, 5, 26, 106, 287, 206, 644, 248, 239, 133, 18, 6, 1], [1, 5, 26, 107, 279, 234, 588, 318, 183, 161, 10, 7, 1], [1, 5, 26, 108, 271, 262, 532, 388, 127, 189, 2, 8, 1], [1, 5, 26, 108, 272, 254, 560, 332, 197, 133, 30, 0, 2], [1, 5, 26, 109, 264, 282, 504, 402, 141, 161, 22, 1, 2], [1, 5, 26, 110, 256, 310, 448, 472, 85, 189, 14, 2, 2], [1, 5, 26, 111, 248, 338, 392, 542, 29, 217, 6, 3, 2], [1, 5, 27, 95, 338, 74, 854, 38, 365, 97, 15, 11, 0], [1, 5, 27, 96, 330, 102, 798, 108, 309, 125, 7, 12, 0], [1, 5, 27, 96, 331, 94, 826, 52, 379, 69, 35, 4, 1], [1, 5, 27, 97, 323, 122, 770, 122, 323, 97, 27, 5, 1], [1, 5, 27, 98, 315, 150, 714, 192, 267, 125, 19, 6, 1], [1, 5, 27, 99, 307, 178, 658, 262, 211, 153, 11, 7, 1], [1, 5, 27, 100, 299, 206, 602, 332, 155, 181, 3, 8, 1], [1, 5, 27, 100, 300, 198, 630, 276, 225, 125, 31, 0, 2], [1, 5, 27, 101, 292, 226, 574, 346, 169, 153, 23, 1, 2], [1, 5, 27, 102, 284, 254, 518, 416, 113, 181, 15, 2, 2], [1, 5, 27, 103, 276, 282, 462, 486, 57, 209, 7, 3, 2], [1, 5, 28, 88, 358, 46, 868, 52, 337, 117, 8, 12, 0], [1, 5, 28, 89, 350, 74, 812, 122, 281, 145, 0, 13, 0], [1, 5, 28, 89, 351, 66, 840, 66, 351, 89, 28, 5, 1], [1, 5, 28, 90, 343, 94, 784, 136, 295, 117, 20, 6, 1], [1, 5, 28, 91, 335, 122, 728, 206, 239, 145, 12, 7, 1], [1, 5, 28, 92, 327, 150, 672, 276, 183, 173, 4, 8, 1], [1, 5, 28, 92, 328, 142, 700, 220, 253, 117, 32, 0, 2], [1, 5, 28, 93, 320, 170, 644, 290, 197, 145, 24, 1, 2], [1, 5, 28, 94, 312, 198, 588, 360, 141, 173, 16, 2, 2], [1, 5, 28, 95, 304, 226, 532, 430, 85, 201, 8, 3, 2], [1, 5, 28, 96, 296, 254, 476, 500, 29, 229, 0, 4, 2], [1, 5, 29, 81, 378, 18, 882, 66, 309, 137, 1, 13, 0], [1, 5, 29, 81, 379, 10, 910, 10, 379, 81, 29, 5, 1], [1, 5, 29, 82, 371, 38, 854, 80, 323, 109, 21, 6, 1], [1, 5, 29, 83, 363, 66, 798, 150, 267, 137, 13, 7, 1], [1, 5, 29, 84, 355, 94, 742, 220, 211, 165, 5, 8, 1], [1, 5, 29, 84, 356, 86, 770, 164, 281, 109, 33, 0, 2], [1, 5, 29, 85, 348, 114, 714, 234, 225, 137, 25, 1, 2], [1, 5, 29, 86, 340, 142, 658, 304, 169, 165, 17, 2, 2], [1, 5, 29, 87, 332, 170, 602, 374, 113, 193, 9, 3, 2], [1, 5, 29, 88, 324, 198, 546, 444, 57, 221, 1, 4, 2], [1, 5, 30, 75, 391, 10, 868, 94, 295, 129, 14, 7, 1], [1, 5, 30, 76, 383, 38, 812, 164, 239, 157, 6, 8, 1], [1, 5, 30, 76, 384, 30, 840, 108, 309, 101, 34, 0, 2], [1, 5, 30, 77, 376, 58, 784, 178, 253, 129, 26, 1, 2], [1, 5, 30, 78, 368, 86, 728, 248, 197, 157, 18, 2, 2], [1, 5, 30, 79, 360, 114, 672, 318, 141, 185, 10, 3, 2], [1, 5, 30, 80, 352, 142, 616, 388, 85, 213, 2, 4, 2], [1, 5, 31, 69, 404, 2, 854, 122, 281, 121, 27, 1, 2], [1, 5, 31, 70, 396, 30, 798, 192, 225, 149, 19, 2, 2], [1, 5, 31, 71, 388, 58, 742, 262, 169, 177, 11, 3, 2], [1, 5, 31, 72, 380, 86, 686, 332, 113, 205, 3, 4, 2], [1, 5, 32, 63, 416, 2, 812, 206, 197, 169, 12, 3, 2], [1, 5, 32, 64, 408, 30, 756, 276, 141, 197, 4, 4, 2], [1, 5, 33, 60, 405, 78, 630, 444, 15, 245, 1, 0, 3], [1, 5, 34, 52, 433, 22, 700, 388, 43, 237, 2, 0, 3], [1, 6, 8, 205, 22, 592, 364, 262, 385, 18, 52, 5, 0], [1, 6, 8, 206, 14, 620, 308, 332, 329, 46, 44, 6, 0], [1, 6, 8, 207, 6, 648, 252, 402, 273, 74, 36, 7, 0], [1, 6, 9, 197, 50, 536, 434, 206, 413, 10, 53, 5, 0], [1, 6, 9, 198, 42, 564, 378, 276, 357, 38, 45, 6, 0], [1, 6, 9, 199, 34, 592, 322, 346, 301, 66, 37, 7, 0], [1, 6, 9, 200, 26, 620, 266, 416, 245, 94, 29, 8, 0], [1, 6, 9, 200, 27, 612, 294, 360, 315, 38, 57, 0, 1], [1, 6, 9, 201, 18, 648, 210, 486, 189, 122, 21, 9, 0], [1, 6, 9, 201, 19, 640, 238, 430, 259, 66, 49, 1, 1], [1, 6, 9, 202, 10, 676, 154, 556, 133, 150, 13, 10, 0], [1, 6, 9, 202, 11, 668, 182, 500, 203, 94, 41, 2, 1], [1, 6, 9, 203, 2, 704, 98, 626, 77, 178, 5, 11, 0], [1, 6, 9, 203, 3, 696, 126, 570, 147, 122, 33, 3, 1], [1, 6, 10, 189, 78, 480, 504, 150, 441, 2, 54, 5, 0], [1, 6, 10, 190, 70, 508, 448, 220, 385, 30, 46, 6, 0], [1, 6, 10, 191, 62, 536, 392, 290, 329, 58, 38, 7, 0], [1, 6, 10, 192, 54, 564, 336, 360, 273, 86, 30, 8, 0], [1, 6, 10, 192, 55, 556, 364, 304, 343, 30, 58, 0, 1], [1, 6, 10, 193, 46, 592, 280, 430, 217, 114, 22, 9, 0], [1, 6, 10, 193, 47, 584, 308, 374, 287, 58, 50, 1, 1], [1, 6, 10, 194, 38, 620, 224, 500, 161, 142, 14, 10, 0], [1, 6, 10, 194, 39, 612, 252, 444, 231, 86, 42, 2, 1], [1, 6, 10, 195, 30, 648, 168, 570, 105, 170, 6, 11, 0], [1, 6, 10, 195, 31, 640, 196, 514, 175, 114, 34, 3, 1], [1, 6, 10, 196, 23, 668, 140, 584, 119, 142, 26, 4, 1], [1, 6, 10, 197, 15, 696, 84, 654, 63, 170, 18, 5, 1], [1, 6, 10, 198, 7, 724, 28, 724, 7, 198, 10, 6, 1], [1, 6, 11, 182, 98, 452, 518, 164, 413, 22, 47, 6, 0], [1, 6, 11, 183, 90, 480, 462, 234, 357, 50, 39, 7, 0], [1, 6, 11, 184, 82, 508, 406, 304, 301, 78, 31, 8, 0], [1, 6, 11, 184, 83, 500, 434, 248, 371, 22, 59, 0, 1], [1, 6, 11, 185, 74, 536, 350, 374, 245, 106, 23, 9, 0], [1, 6, 11, 185, 75, 528, 378, 318, 315, 50, 51, 1, 1], [1, 6, 11, 186, 66, 564, 294, 444, 189, 134, 15, 10, 0], [1, 6, 11, 186, 67, 556, 322, 388, 259, 78, 43, 2, 1], [1, 6, 11, 187, 58, 592, 238, 514, 133, 162, 7, 11, 0], [1, 6, 11, 187, 59, 584, 266, 458, 203, 106, 35, 3, 1], [1, 6, 11, 188, 51, 612, 210, 528, 147, 134, 27, 4, 1], [1, 6, 11, 189, 43, 640, 154, 598, 91, 162, 19, 5, 1], [1, 6, 11, 190, 35, 668, 98, 668, 35, 190, 11, 6, 1], [1, 6, 12, 174, 126, 396, 588, 108, 441, 14, 48, 6, 0], [1, 6, 12, 175, 118, 424, 532, 178, 385, 42, 40, 7, 0], [1, 6, 12, 176, 110, 452, 476, 248, 329, 70, 32, 8, 0], [1, 6, 12, 176, 111, 444, 504, 192, 399, 14, 60, 0, 1], [1, 6, 12, 177, 102, 480, 420, 318, 273, 98, 24, 9, 0], [1, 6, 12, 177, 103, 472, 448, 262, 343, 42, 52, 1, 1], [1, 6, 12, 178, 94, 508, 364, 388, 217, 126, 16, 10, 0], [1, 6, 12, 178, 95, 500, 392, 332, 287, 70, 44, 2, 1], [1, 6, 12, 179, 86, 536, 308, 458, 161, 154, 8, 11, 0], [1, 6, 12, 179, 87, 528, 336, 402, 231, 98, 36, 3, 1], [1, 6, 12, 180, 78, 564, 252, 528, 105, 182, 0, 12, 0], [1, 6, 12, 180, 79, 556, 280, 472, 175, 126, 28, 4, 1], [1, 6, 12, 181, 71, 584, 224, 542, 119, 154, 20, 5, 1], [1, 6, 12, 182, 63, 612, 168, 612, 63, 182, 12, 6, 1], [1, 6, 12, 183, 55, 640, 112, 682, 7, 210, 4, 7, 1], [1, 6, 12, 184, 48, 660, 84, 696, 21, 182, 24, 0, 2], [1, 6, 13, 166, 154, 340, 658, 52, 469, 6, 49, 6, 0], [1, 6, 13, 167, 146, 368, 602, 122, 413, 34, 41, 7, 0], [1, 6, 13, 168, 138, 396, 546, 192, 357, 62, 33, 8, 0], [1, 6, 13, 168, 139, 388, 574, 136, 427, 6, 61, 0, 1], [1, 6, 13, 169, 130, 424, 490, 262, 301, 90, 25, 9, 0], [1, 6, 13, 169, 131, 416, 518, 206, 371, 34, 53, 1, 1], [1, 6, 13, 170, 122, 452, 434, 332, 245, 118, 17, 10, 0], [1, 6, 13, 170, 123, 444, 462, 276, 315, 62, 45, 2, 1], [1, 6, 13, 171, 114, 480, 378, 402, 189, 146, 9, 11, 0], [1, 6, 13, 171, 115, 472, 406, 346, 259, 90, 37, 3, 1], [1, 6, 13, 172, 106, 508, 322, 472, 133, 174, 1, 12, 0], [1, 6, 13, 172, 107, 500, 350, 416, 203, 118, 29, 4, 1], [1, 6, 13, 173, 99, 528, 294, 486, 147, 146, 21, 5, 1], [1, 6, 13, 174, 91, 556, 238, 556, 91, 174, 13, 6, 1], [1, 6, 13, 175, 83, 584, 182, 626, 35, 202, 5, 7, 1], [1, 6, 13, 176, 76, 604, 154, 640, 49, 174, 25, 0, 2], [1, 6, 14, 159, 174, 312, 672, 66, 441, 26, 42, 7, 0], [1, 6, 14, 160, 166, 340, 616, 136, 385, 54, 34, 8, 0], [1, 6, 14, 161, 158, 368, 560, 206, 329, 82, 26, 9, 0], [1, 6, 14, 161, 159, 360, 588, 150, 399, 26, 54, 1, 1], [1, 6, 14, 162, 150, 396, 504, 276, 273, 110, 18, 10, 0], [1, 6, 14, 162, 151, 388, 532, 220, 343, 54, 46, 2, 1], [1, 6, 14, 163, 142, 424, 448, 346, 217, 138, 10, 11, 0], [1, 6, 14, 163, 143, 416, 476, 290, 287, 82, 38, 3, 1], [1, 6, 14, 164, 134, 452, 392, 416, 161, 166, 2, 12, 0], [1, 6, 14, 164, 135, 444, 420, 360, 231, 110, 30, 4, 1], [1, 6, 14, 165, 127, 472, 364, 430, 175, 138, 22, 5, 1], [1, 6, 14, 166, 119, 500, 308, 500, 119, 166, 14, 6, 1], [1, 6, 14, 167, 111, 528, 252, 570, 63, 194, 6, 7, 1], [1, 6, 14, 168, 104, 548, 224, 584, 77, 166, 26, 0, 2], [1, 6, 14, 169, 96, 576, 168, 654, 21, 194, 18, 1, 2], [1, 6, 15, 151, 202, 256, 742, 10, 469, 18, 43, 7, 0], [1, 6, 15, 152, 194, 284, 686, 80, 413, 46, 35, 8, 0], [1, 6, 15, 153, 186, 312, 630, 150, 357, 74, 27, 9, 0], [1, 6, 15, 153, 187, 304, 658, 94, 427, 18, 55, 1, 1], [1, 6, 15, 154, 178, 340, 574, 220, 301, 102, 19, 10, 0], [1, 6, 15, 154, 179, 332, 602, 164, 371, 46, 47, 2, 1], [1, 6, 15, 155, 170, 368, 518, 290, 245, 130, 11, 11, 0], [1, 6, 15, 155, 171, 360, 546, 234, 315, 74, 39, 3, 1], [1, 6, 15, 156, 162, 396, 462, 360, 189, 158, 3, 12, 0], [1, 6, 15, 156, 163, 388, 490, 304, 259, 102, 31, 4, 1], [1, 6, 15, 157, 155, 416, 434, 374, 203, 130, 23, 5, 1], [1, 6, 15, 158, 147, 444, 378, 444, 147, 158, 15, 6, 1], [1, 6, 15, 159, 139, 472, 322, 514, 91, 186, 7, 7, 1], [1, 6, 15, 160, 132, 492, 294, 528, 105, 158, 27, 0, 2], [1, 6, 15, 161, 124, 520, 238, 598, 49, 186, 19, 1, 2], [1, 6, 16, 144, 222, 228, 756, 24, 441, 38, 36, 8, 0], [1, 6, 16, 145, 214, 256, 700, 94, 385, 66, 28, 9, 0], [1, 6, 16, 145, 215, 248, 728, 38, 455, 10, 56, 1, 1], [1, 6, 16, 146, 206, 284, 644, 164, 329, 94, 20, 10, 0], [1, 6, 16, 146, 207, 276, 672, 108, 399, 38, 48, 2, 1], [1, 6, 16, 147, 198, 312, 588, 234, 273, 122, 12, 11, 0], [1, 6, 16, 147, 199, 304, 616, 178, 343, 66, 40, 3, 1], [1, 6, 16, 148, 190, 340, 532, 304, 217, 150, 4, 12, 0], [1, 6, 16, 148, 191, 332, 560, 248, 287, 94, 32, 4, 1], [1, 6, 16, 149, 183, 360, 504, 318, 231, 122, 24, 5, 1], [1, 6, 16, 150, 175, 388, 448, 388, 175, 150, 16, 6, 1], [1, 6, 16, 151, 167, 416, 392, 458, 119, 178, 8, 7, 1], [1, 6, 16, 152, 159, 444, 336, 528, 63, 206, 0, 8, 1], [1, 6, 16, 152, 160, 436, 364, 472, 133, 150, 28, 0, 2], [1, 6, 16, 153, 152, 464, 308, 542, 77, 178, 20, 1, 2], [1, 6, 16, 154, 144, 492, 252, 612, 21, 206, 12, 2, 2], [1, 6, 17, 137, 242, 200, 770, 38, 413, 58, 29, 9, 0], [1, 6, 17, 138, 234, 228, 714, 108, 357, 86, 21, 10, 0], [1, 6, 17, 138, 235, 220, 742, 52, 427, 30, 49, 2, 1], [1, 6, 17, 139, 226, 256, 658, 178, 301, 114, 13, 11, 0], [1, 6, 17, 139, 227, 248, 686, 122, 371, 58, 41, 3, 1], [1, 6, 17, 140, 218, 284, 602, 248, 245, 142, 5, 12, 0], [1, 6, 17, 140, 219, 276, 630, 192, 315, 86, 33, 4, 1], [1, 6, 17, 141, 211, 304, 574, 262, 259, 114, 25, 5, 1], [1, 6, 17, 142, 203, 332, 518, 332, 203, 142, 17, 6, 1], [1, 6, 17, 143, 195, 360, 462, 402, 147, 170, 9, 7, 1], [1, 6, 17, 144, 187, 388, 406, 472, 91, 198, 1, 8, 1], [1, 6, 17, 144, 188, 380, 434, 416, 161, 142, 29, 0, 2], [1, 6, 17, 145, 180, 408, 378, 486, 105, 170, 21, 1, 2], [1, 6, 17, 146, 172, 436, 322, 556, 49, 198, 13, 2, 2], [1, 6, 18, 130, 262, 172, 784, 52, 385, 78, 22, 10, 0], [1, 6, 18, 131, 254, 200, 728, 122, 329, 106, 14, 11, 0], [1, 6, 18, 131, 255, 192, 756, 66, 399, 50, 42, 3, 1], [1, 6, 18, 132, 246, 228, 672, 192, 273, 134, 6, 12, 0], [1, 6, 18, 132, 247, 220, 700, 136, 343, 78, 34, 4, 1], [1, 6, 18, 133, 239, 248, 644, 206, 287, 106, 26, 5, 1], [1, 6, 18, 134, 231, 276, 588, 276, 231, 134, 18, 6, 1], [1, 6, 18, 135, 223, 304, 532, 346, 175, 162, 10, 7, 1], [1, 6, 18, 136, 215, 332, 476, 416, 119, 190, 2, 8, 1], [1, 6, 18, 136, 216, 324, 504, 360, 189, 134, 30, 0, 2], [1, 6, 18, 137, 208, 352, 448, 430, 133, 162, 22, 1, 2], [1, 6, 18, 138, 200, 380, 392, 500, 77, 190, 14, 2, 2], [1, 6, 18, 139, 192, 408, 336, 570, 21, 218, 6, 3, 2], [1, 6, 19, 123, 282, 144, 798, 66, 357, 98, 15, 11, 0], [1, 6, 19, 123, 283, 136, 826, 10, 427, 42, 43, 3, 1], [1, 6, 19, 124, 274, 172, 742, 136, 301, 126, 7, 12, 0], [1, 6, 19, 124, 275, 164, 770, 80, 371, 70, 35, 4, 1], [1, 6, 19, 125, 267, 192, 714, 150, 315, 98, 27, 5, 1], [1, 6, 19, 126, 259, 220, 658, 220, 259, 126, 19, 6, 1], [1, 6, 19, 127, 251, 248, 602, 290, 203, 154, 11, 7, 1], [1, 6, 19, 128, 243, 276, 546, 360, 147, 182, 3, 8, 1], [1, 6, 19, 128, 244, 268, 574, 304, 217, 126, 31, 0, 2], [1, 6, 19, 129, 236, 296, 518, 374, 161, 154, 23, 1, 2], [1, 6, 19, 130, 228, 324, 462, 444, 105, 182, 15, 2, 2], [1, 6, 19, 131, 220, 352, 406, 514, 49, 210, 7, 3, 2], [1, 6, 20, 115, 310, 88, 868, 10, 385, 90, 16, 11, 0], [1, 6, 20, 116, 302, 116, 812, 80, 329, 118, 8, 12, 0], [1, 6, 20, 116, 303, 108, 840, 24, 399, 62, 36, 4, 1], [1, 6, 20, 117, 294, 144, 756, 150, 273, 146, 0, 13, 0], [1, 6, 20, 117, 295, 136, 784, 94, 343, 90, 28, 5, 1], [1, 6, 20, 118, 287, 164, 728, 164, 287, 118, 20, 6, 1], [1, 6, 20, 119, 279, 192, 672, 234, 231, 146, 12, 7, 1], [1, 6, 20, 120, 271, 220, 616, 304, 175, 174, 4, 8, 1], [1, 6, 20, 120, 272, 212, 644, 248, 245, 118, 32, 0, 2], [1, 6, 20, 121, 264, 240, 588, 318, 189, 146, 24, 1, 2], [1, 6, 20, 122, 256, 268, 532, 388, 133, 174, 16, 2, 2], [1, 6, 20, 123, 248, 296, 476, 458, 77, 202, 8, 3, 2], [1, 6, 20, 124, 240, 324, 420, 528, 21, 230, 0, 4, 2], [1, 6, 21, 108, 330, 60, 882, 24, 357, 110, 9, 12, 0], [1, 6, 21, 109, 322, 88, 826, 94, 301, 138, 1, 13, 0], [1, 6, 21, 109, 323, 80, 854, 38, 371, 82, 29, 5, 1], [1, 6, 21, 110, 315, 108, 798, 108, 315, 110, 21, 6, 1], [1, 6, 21, 111, 307, 136, 742, 178, 259, 138, 13, 7, 1], [1, 6, 21, 112, 299, 164, 686, 248, 203, 166, 5, 8, 1], [1, 6, 21, 112, 300, 156, 714, 192, 273, 110, 33, 0, 2], [1, 6, 21, 113, 292, 184, 658, 262, 217, 138, 25, 1, 2], [1, 6, 21, 114, 284, 212, 602, 332, 161, 166, 17, 2, 2], [1, 6, 21, 115, 276, 240, 546, 402, 105, 194, 9, 3, 2], [1, 6, 21, 116, 268, 268, 490, 472, 49, 222, 1, 4, 2], [1, 6, 22, 101, 350, 32, 896, 38, 329, 130, 2, 13, 0], [1, 6, 22, 102, 343, 52, 868, 52, 343, 102, 22, 6, 1], [1, 6, 22, 103, 335, 80, 812, 122, 287, 130, 14, 7, 1], [1, 6, 22, 104, 327, 108, 756, 192, 231, 158, 6, 8, 1], [1, 6, 22, 104, 328, 100, 784, 136, 301, 102, 34, 0, 2], [1, 6, 22, 105, 320, 128, 728, 206, 245, 130, 26, 1, 2], [1, 6, 22, 106, 312, 156, 672, 276, 189, 158, 18, 2, 2], [1, 6, 22, 107, 304, 184, 616, 346, 133, 186, 10, 3, 2], [1, 6, 22, 108, 296, 212, 560, 416, 77, 214, 2, 4, 2], [1, 6, 23, 95, 363, 24, 882, 66, 315, 122, 15, 7, 1], [1, 6, 23, 96, 355, 52, 826, 136, 259, 150, 7, 8, 1], [1, 6, 23, 96, 356, 44, 854, 80, 329, 94, 35, 0, 2], [1, 6, 23, 97, 348, 72, 798, 150, 273, 122, 27, 1, 2], [1, 6, 23, 98, 340, 100, 742, 220, 217, 150, 19, 2, 2], [1, 6, 23, 99, 332, 128, 686, 290, 161, 178, 11, 3, 2], [1, 6, 23, 100, 324, 156, 630, 360, 105, 206, 3, 4, 2], [1, 6, 24, 89, 375, 24, 840, 150, 231, 170, 0, 9, 1], [1, 6, 24, 89, 376, 16, 868, 94, 301, 114, 28, 1, 2], [1, 6, 24, 90, 368, 44, 812, 164, 245, 142, 20, 2, 2], [1, 6, 24, 91, 360, 72, 756, 234, 189, 170, 12, 3, 2], [1, 6, 24, 92, 352, 100, 700, 304, 133, 198, 4, 4, 2], [1, 6, 25, 83, 388, 16, 826, 178, 217, 162, 13, 3, 2], [1, 6, 25, 84, 380, 44, 770, 248, 161, 190, 5, 4, 2], [1, 6, 25, 88, 349, 148, 574, 472, 7, 246, 1, 0, 3], [1, 6, 26, 80, 377, 92, 644, 416, 35, 238, 2, 0, 3], [1, 6, 27, 72, 405, 36, 714, 360, 63, 230, 3, 0, 3], [1, 7, 2, 217, 22, 550, 448, 178, 433, 3, 54, 5, 0], [1, 7, 2, 218, 14, 578, 392, 248, 377, 31, 46, 6, 0], [1, 7, 2, 219, 6, 606, 336, 318, 321, 59, 38, 7, 0], [1, 7, 3, 210, 42, 522, 462, 192, 405, 23, 47, 6, 0], [1, 7, 3, 211, 34, 550, 406, 262, 349, 51, 39, 7, 0], [1, 7, 3, 212, 26, 578, 350, 332, 293, 79, 31, 8, 0], [1, 7, 3, 212, 27, 570, 378, 276, 363, 23, 59, 0, 1], [1, 7, 3, 213, 18, 606, 294, 402, 237, 107, 23, 9, 0], [1, 7, 3, 213, 19, 598, 322, 346, 307, 51, 51, 1, 1], [1, 7, 3, 214, 10, 634, 238, 472, 181, 135, 15, 10, 0], [1, 7, 3, 214, 11, 626, 266, 416, 251, 79, 43, 2, 1], [1, 7, 3, 215, 2, 662, 182, 542, 125, 163, 7, 11, 0], [1, 7, 3, 215, 3, 654, 210, 486, 195, 107, 35, 3, 1], [1, 7, 4, 202, 70, 466, 532, 136, 433, 15, 48, 6, 0], [1, 7, 4, 203, 62, 494, 476, 206, 377, 43, 40, 7, 0], [1, 7, 4, 204, 54, 522, 420, 276, 321, 71, 32, 8, 0], [1, 7, 4, 204, 55, 514, 448, 220, 391, 15, 60, 0, 1], [1, 7, 4, 205, 46, 550, 364, 346, 265, 99, 24, 9, 0], [1, 7, 4, 205, 47, 542, 392, 290, 335, 43, 52, 1, 1], [1, 7, 4, 206, 38, 578, 308, 416, 209, 127, 16, 10, 0], [1, 7, 4, 206, 39, 570, 336, 360, 279, 71, 44, 2, 1], [1, 7, 4, 207, 30, 606, 252, 486, 153, 155, 8, 11, 0], [1, 7, 4, 207, 31, 598, 280, 430, 223, 99, 36, 3, 1], [1, 7, 4, 208, 22, 634, 196, 556, 97, 183, 0, 12, 0], [1, 7, 4, 208, 23, 626, 224, 500, 167, 127, 28, 4, 1], [1, 7, 4, 209, 15, 654, 168, 570, 111, 155, 20, 5, 1], [1, 7, 4, 210, 7, 682, 112, 640, 55, 183, 12, 6, 1], [1, 7, 5, 194, 98, 410, 602, 80, 461, 7, 49, 6, 0], [1, 7, 5, 195, 90, 438, 546, 150, 405, 35, 41, 7, 0], [1, 7, 5, 196, 82, 466, 490, 220, 349, 63, 33, 8, 0], [1, 7, 5, 196, 83, 458, 518, 164, 419, 7, 61, 0, 1], [1, 7, 5, 197, 74, 494, 434, 290, 293, 91, 25, 9, 0], [1, 7, 5, 197, 75, 486, 462, 234, 363, 35, 53, 1, 1], [1, 7, 5, 198, 66, 522, 378, 360, 237, 119, 17, 10, 0], [1, 7, 5, 198, 67, 514, 406, 304, 307, 63, 45, 2, 1], [1, 7, 5, 199, 58, 550, 322, 430, 181, 147, 9, 11, 0], [1, 7, 5, 199, 59, 542, 350, 374, 251, 91, 37, 3, 1], [1, 7, 5, 200, 50, 578, 266, 500, 125, 175, 1, 12, 0], [1, 7, 5, 200, 51, 570, 294, 444, 195, 119, 29, 4, 1], [1, 7, 5, 201, 43, 598, 238, 514, 139, 147, 21, 5, 1], [1, 7, 5, 202, 35, 626, 182, 584, 83, 175, 13, 6, 1], [1, 7, 5, 203, 27, 654, 126, 654, 27, 203, 5, 7, 1], [1, 7, 5, 204, 20, 674, 98, 668, 41, 175, 25, 0, 2], [1, 7, 6, 187, 118, 382, 616, 94, 433, 27, 42, 7, 0], [1, 7, 6, 188, 110, 410, 560, 164, 377, 55, 34, 8, 0], [1, 7, 6, 189, 102, 438, 504, 234, 321, 83, 26, 9, 0], [1, 7, 6, 189, 103, 430, 532, 178, 391, 27, 54, 1, 1], [1, 7, 6, 190, 94, 466, 448, 304, 265, 111, 18, 10, 0], [1, 7, 6, 190, 95, 458, 476, 248, 335, 55, 46, 2, 1], [1, 7, 6, 191, 86, 494, 392, 374, 209, 139, 10, 11, 0], [1, 7, 6, 191, 87, 486, 420, 318, 279, 83, 38, 3, 1], [1, 7, 6, 192, 78, 522, 336, 444, 153, 167, 2, 12, 0], [1, 7, 6, 192, 79, 514, 364, 388, 223, 111, 30, 4, 1], [1, 7, 6, 193, 71, 542, 308, 458, 167, 139, 22, 5, 1], [1, 7, 6, 194, 63, 570, 252, 528, 111, 167, 14, 6, 1], [1, 7, 6, 195, 55, 598, 196, 598, 55, 195, 6, 7, 1], [1, 7, 6, 196, 48, 618, 168, 612, 69, 167, 26, 0, 2], [1, 7, 6, 197, 40, 646, 112, 682, 13, 195, 18, 1, 2], [1, 7, 7, 179, 146, 326, 686, 38, 461, 19, 43, 7, 0], [1, 7, 7, 180, 138, 354, 630, 108, 405, 47, 35, 8, 0], [1, 7, 7, 181, 130, 382, 574, 178, 349, 75, 27, 9, 0], [1, 7, 7, 181, 131, 374, 602, 122, 419, 19, 55, 1, 1], [1, 7, 7, 182, 122, 410, 518, 248, 293, 103, 19, 10, 0], [1, 7, 7, 182, 123, 402, 546, 192, 363, 47, 47, 2, 1], [1, 7, 7, 183, 114, 438, 462, 318, 237, 131, 11, 11, 0], [1, 7, 7, 183, 115, 430, 490, 262, 307, 75, 39, 3, 1], [1, 7, 7, 184, 106, 466, 406, 388, 181, 159, 3, 12, 0], [1, 7, 7, 184, 107, 458, 434, 332, 251, 103, 31, 4, 1], [1, 7, 7, 185, 99, 486, 378, 402, 195, 131, 23, 5, 1], [1, 7, 7, 186, 91, 514, 322, 472, 139, 159, 15, 6, 1], [1, 7, 7, 187, 83, 542, 266, 542, 83, 187, 7, 7, 1], [1, 7, 7, 188, 76, 562, 238, 556, 97, 159, 27, 0, 2], [1, 7, 7, 189, 68, 590, 182, 626, 41, 187, 19, 1, 2], [1, 7, 8, 172, 166, 298, 700, 52, 433, 39, 36, 8, 0], [1, 7, 8, 173, 158, 326, 644, 122, 377, 67, 28, 9, 0], [1, 7, 8, 173, 159, 318, 672, 66, 447, 11, 56, 1, 1], [1, 7, 8, 174, 150, 354, 588, 192, 321, 95, 20, 10, 0], [1, 7, 8, 174, 151, 346, 616, 136, 391, 39, 48, 2, 1], [1, 7, 8, 175, 142, 382, 532, 262, 265, 123, 12, 11, 0], [1, 7, 8, 175, 143, 374, 560, 206, 335, 67, 40, 3, 1], [1, 7, 8, 176, 134, 410, 476, 332, 209, 151, 4, 12, 0], [1, 7, 8, 176, 135, 402, 504, 276, 279, 95, 32, 4, 1], [1, 7, 8, 177, 127, 430, 448, 346, 223, 123, 24, 5, 1], [1, 7, 8, 178, 119, 458, 392, 416, 167, 151, 16, 6, 1], [1, 7, 8, 179, 111, 486, 336, 486, 111, 179, 8, 7, 1], [1, 7, 8, 180, 103, 514, 280, 556, 55, 207, 0, 8, 1], [1, 7, 8, 180, 104, 506, 308, 500, 125, 151, 28, 0, 2], [1, 7, 8, 181, 96, 534, 252, 570, 69, 179, 20, 1, 2], [1, 7, 8, 182, 88, 562, 196, 640, 13, 207, 12, 2, 2], [1, 7, 9, 165, 186, 270, 714, 66, 405, 59, 29, 9, 0], [1, 7, 9, 165, 187, 262, 742, 10, 475, 3, 57, 1, 1], [1, 7, 9, 166, 178, 298, 658, 136, 349, 87, 21, 10, 0], [1, 7, 9, 166, 179, 290, 686, 80, 419, 31, 49, 2, 1], [1, 7, 9, 167, 170, 326, 602, 206, 293, 115, 13, 11, 0], [1, 7, 9, 167, 171, 318, 630, 150, 363, 59, 41, 3, 1], [1, 7, 9, 168, 162, 354, 546, 276, 237, 143, 5, 12, 0], [1, 7, 9, 168, 163, 346, 574, 220, 307, 87, 33, 4, 1], [1, 7, 9, 169, 155, 374, 518, 290, 251, 115, 25, 5, 1], [1, 7, 9, 170, 147, 402, 462, 360, 195, 143, 17, 6, 1], [1, 7, 9, 171, 139, 430, 406, 430, 139, 171, 9, 7, 1], [1, 7, 9, 172, 131, 458, 350, 500, 83, 199, 1, 8, 1], [1, 7, 9, 172, 132, 450, 378, 444, 153, 143, 29, 0, 2], [1, 7, 9, 173, 124, 478, 322, 514, 97, 171, 21, 1, 2], [1, 7, 9, 174, 116, 506, 266, 584, 41, 199, 13, 2, 2], [1, 7, 10, 157, 214, 214, 784, 10, 433, 51, 30, 9, 0], [1, 7, 10, 158, 206, 242, 728, 80, 377, 79, 22, 10, 0], [1, 7, 10, 158, 207, 234, 756, 24, 447, 23, 50, 2, 1], [1, 7, 10, 159, 198, 270, 672, 150, 321, 107, 14, 11, 0], [1, 7, 10, 159, 199, 262, 700, 94, 391, 51, 42, 3, 1], [1, 7, 10, 160, 190, 298, 616, 220, 265, 135, 6, 12, 0], [1, 7, 10, 160, 191, 290, 644, 164, 335, 79, 34, 4, 1], [1, 7, 10, 161, 183, 318, 588, 234, 279, 107, 26, 5, 1], [1, 7, 10, 162, 175, 346, 532, 304, 223, 135, 18, 6, 1], [1, 7, 10, 163, 167, 374, 476, 374, 167, 163, 10, 7, 1], [1, 7, 10, 164, 159, 402, 420, 444, 111, 191, 2, 8, 1], [1, 7, 10, 164, 160, 394, 448, 388, 181, 135, 30, 0, 2], [1, 7, 10, 165, 152, 422, 392, 458, 125, 163, 22, 1, 2], [1, 7, 10, 166, 144, 450, 336, 528, 69, 191, 14, 2, 2], [1, 7, 10, 167, 136, 478, 280, 598, 13, 219, 6, 3, 2], [1, 7, 11, 150, 234, 186, 798, 24, 405, 71, 23, 10, 0], [1, 7, 11, 151, 226, 214, 742, 94, 349, 99, 15, 11, 0], [1, 7, 11, 151, 227, 206, 770, 38, 419, 43, 43, 3, 1], [1, 7, 11, 152, 218, 242, 686, 164, 293, 127, 7, 12, 0], [1, 7, 11, 152, 219, 234, 714, 108, 363, 71, 35, 4, 1], [1, 7, 11, 153, 211, 262, 658, 178, 307, 99, 27, 5, 1], [1, 7, 11, 154, 203, 290, 602, 248, 251, 127, 19, 6, 1], [1, 7, 11, 155, 195, 318, 546, 318, 195, 155, 11, 7, 1], [1, 7, 11, 156, 187, 346, 490, 388, 139, 183, 3, 8, 1], [1, 7, 11, 156, 188, 338, 518, 332, 209, 127, 31, 0, 2], [1, 7, 11, 157, 180, 366, 462, 402, 153, 155, 23, 1, 2], [1, 7, 11, 158, 172, 394, 406, 472, 97, 183, 15, 2, 2], [1, 7, 11, 159, 164, 422, 350, 542, 41, 211, 7, 3, 2], [1, 7, 12, 143, 254, 158, 812, 38, 377, 91, 16, 11, 0], [1, 7, 12, 144, 246, 186, 756, 108, 321, 119, 8, 12, 0], [1, 7, 12, 144, 247, 178, 784, 52, 391, 63, 36, 4, 1], [1, 7, 12, 145, 238, 214, 700, 178, 265, 147, 0, 13, 0], [1, 7, 12, 145, 239, 206, 728, 122, 335, 91, 28, 5, 1], [1, 7, 12, 146, 231, 234, 672, 192, 279, 119, 20, 6, 1], [1, 7, 12, 147, 223, 262, 616, 262, 223, 147, 12, 7, 1], [1, 7, 12, 148, 215, 290, 560, 332, 167, 175, 4, 8, 1], [1, 7, 12, 148, 216, 282, 588, 276, 237, 119, 32, 0, 2], [1, 7, 12, 149, 208, 310, 532, 346, 181, 147, 24, 1, 2], [1, 7, 12, 150, 200, 338, 476, 416, 125, 175, 16, 2, 2], [1, 7, 12, 151, 192, 366, 420, 486, 69, 203, 8, 3, 2], [1, 7, 12, 152, 184, 394, 364, 556, 13, 231, 0, 4, 2], [1, 7, 13, 136, 274, 130, 826, 52, 349, 111, 9, 12, 0], [1, 7, 13, 137, 266, 158, 770, 122, 293, 139, 1, 13, 0], [1, 7, 13, 137, 267, 150, 798, 66, 363, 83, 29, 5, 1], [1, 7, 13, 138, 259, 178, 742, 136, 307, 111, 21, 6, 1], [1, 7, 13, 139, 251, 206, 686, 206, 251, 139, 13, 7, 1], [1, 7, 13, 140, 243, 234, 630, 276, 195, 167, 5, 8, 1], [1, 7, 13, 140, 244, 226, 658, 220, 265, 111, 33, 0, 2], [1, 7, 13, 141, 236, 254, 602, 290, 209, 139, 25, 1, 2], [1, 7, 13, 142, 228, 282, 546, 360, 153, 167, 17, 2, 2], [1, 7, 13, 143, 220, 310, 490, 430, 97, 195, 9, 3, 2], [1, 7, 13, 144, 212, 338, 434, 500, 41, 223, 1, 4, 2], [1, 7, 14, 129, 294, 102, 840, 66, 321, 131, 2, 13, 0], [1, 7, 14, 129, 295, 94, 868, 10, 391, 75, 30, 5, 1], [1, 7, 14, 130, 287, 122, 812, 80, 335, 103, 22, 6, 1], [1, 7, 14, 131, 279, 150, 756, 150, 279, 131, 14, 7, 1], [1, 7, 14, 132, 271, 178, 700, 220, 223, 159, 6, 8, 1], [1, 7, 14, 132, 272, 170, 728, 164, 293, 103, 34, 0, 2], [1, 7, 14, 133, 264, 198, 672, 234, 237, 131, 26, 1, 2], [1, 7, 14, 134, 256, 226, 616, 304, 181, 159, 18, 2, 2], [1, 7, 14, 135, 248, 254, 560, 374, 125, 187, 10, 3, 2], [1, 7, 14, 136, 240, 282, 504, 444, 69, 215, 2, 4, 2], [1, 7, 15, 121, 322, 46, 910, 10, 349, 123, 3, 13, 0], [1, 7, 15, 122, 315, 66, 882, 24, 363, 95, 23, 6, 1], [1, 7, 15, 123, 307, 94, 826, 94, 307, 123, 15, 7, 1], [1, 7, 15, 124, 299, 122, 770, 164, 251, 151, 7, 8, 1], [1, 7, 15, 124, 300, 114, 798, 108, 321, 95, 35, 0, 2], [1, 7, 15, 125, 292, 142, 742, 178, 265, 123, 27, 1, 2], [1, 7, 15, 126, 284, 170, 686, 248, 209, 151, 19, 2, 2], [1, 7, 15, 127, 276, 198, 630, 318, 153, 179, 11, 3, 2], [1, 7, 15, 128, 268, 226, 574, 388, 97, 207, 3, 4, 2], [1, 7, 16, 115, 335, 38, 896, 38, 335, 115, 16, 7, 1], [1, 7, 16, 116, 327, 66, 840, 108, 279, 143, 8, 8, 1], [1, 7, 16, 116, 328, 58, 868, 52, 349, 87, 36, 0, 2], [1, 7, 16, 117, 319, 94, 784, 178, 223, 171, 0, 9, 1], [1, 7, 16, 117, 320, 86, 812, 122, 293, 115, 28, 1, 2], [1, 7, 16, 118, 312, 114, 756, 192, 237, 143, 20, 2, 2], [1, 7, 16, 119, 304, 142, 700, 262, 181, 171, 12, 3, 2], [1, 7, 16, 120, 296, 170, 644, 332, 125, 199, 4, 4, 2], [1, 7, 17, 108, 355, 10, 910, 52, 307, 135, 9, 8, 1], [1, 7, 17, 109, 347, 38, 854, 122, 251, 163, 1, 9, 1], [1, 7, 17, 109, 348, 30, 882, 66, 321, 107, 29, 1, 2], [1, 7, 17, 110, 340, 58, 826, 136, 265, 135, 21, 2, 2], [1, 7, 17, 111, 332, 86, 770, 206, 209, 163, 13, 3, 2], [1, 7, 17, 112, 324, 114, 714, 276, 153, 191, 5, 4, 2], [1, 7, 18, 102, 368, 2, 896, 80, 293, 127, 22, 2, 2], [1, 7, 18, 103, 360, 30, 840, 150, 237, 155, 14, 3, 2], [1, 7, 18, 104, 352, 58, 784, 220, 181, 183, 6, 4, 2], [1, 7, 18, 108, 321, 162, 588, 444, 27, 239, 2, 0, 3], [1, 7, 19, 96, 380, 2, 854, 164, 209, 175, 7, 4, 2], [1, 7, 19, 100, 349, 106, 658, 388, 55, 231, 3, 0, 3], [1, 7, 20, 92, 377, 50, 728, 332, 83, 223, 4, 0, 3], [1, 8, 0, 199, 118, 340, 700, 10, 481, 12, 44, 7, 0], [1, 8, 0, 200, 110, 368, 644, 80, 425, 40, 36, 8, 0], [1, 8, 0, 201, 102, 396, 588, 150, 369, 68, 28, 9, 0], [1, 8, 0, 201, 103, 388, 616, 94, 439, 12, 56, 1, 1], [1, 8, 0, 202, 94, 424, 532, 220, 313, 96, 20, 10, 0], [1, 8, 0, 202, 95, 416, 560, 164, 383, 40, 48, 2, 1], [1, 8, 0, 203, 86, 452, 476, 290, 257, 124, 12, 11, 0], [1, 8, 0, 203, 87, 444, 504, 234, 327, 68, 40, 3, 1], [1, 8, 0, 204, 78, 480, 420, 360, 201, 152, 4, 12, 0], [1, 8, 0, 204, 79, 472, 448, 304, 271, 96, 32, 4, 1], [1, 8, 0, 205, 71, 500, 392, 374, 215, 124, 24, 5, 1], [1, 8, 0, 206, 63, 528, 336, 444, 159, 152, 16, 6, 1], [1, 8, 0, 207, 55, 556, 280, 514, 103, 180, 8, 7, 1], [1, 8, 0, 208, 47, 584, 224, 584, 47, 208, 0, 8, 1], [1, 8, 0, 208, 48, 576, 252, 528, 117, 152, 28, 0, 2], [1, 8, 0, 209, 40, 604, 196, 598, 61, 180, 20, 1, 2], [1, 8, 0, 210, 32, 632, 140, 668, 5, 208, 12, 2, 2], [1, 8, 1, 192, 138, 312, 714, 24, 453, 32, 37, 8, 0], [1, 8, 1, 193, 130, 340, 658, 94, 397, 60, 29, 9, 0], [1, 8, 1, 193, 131, 332, 686, 38, 467, 4, 57, 1, 1], [1, 8, 1, 194, 122, 368, 602, 164, 341, 88, 21, 10, 0], [1, 8, 1, 194, 123, 360, 630, 108, 411, 32, 49, 2, 1], [1, 8, 1, 195, 114, 396, 546, 234, 285, 116, 13, 11, 0], [1, 8, 1, 195, 115, 388, 574, 178, 355, 60, 41, 3, 1], [1, 8, 1, 196, 106, 424, 490, 304, 229, 144, 5, 12, 0], [1, 8, 1, 196, 107, 416, 518, 248, 299, 88, 33, 4, 1], [1, 8, 1, 197, 99, 444, 462, 318, 243, 116, 25, 5, 1], [1, 8, 1, 198, 91, 472, 406, 388, 187, 144, 17, 6, 1], [1, 8, 1, 199, 83, 500, 350, 458, 131, 172, 9, 7, 1], [1, 8, 1, 200, 75, 528, 294, 528, 75, 200, 1, 8, 1], [1, 8, 1, 200, 76, 520, 322, 472, 145, 144, 29, 0, 2], [1, 8, 1, 201, 68, 548, 266, 542, 89, 172, 21, 1, 2], [1, 8, 1, 202, 60, 576, 210, 612, 33, 200, 13, 2, 2], [1, 8, 2, 185, 158, 284, 728, 38, 425, 52, 30, 9, 0], [1, 8, 2, 186, 150, 312, 672, 108, 369, 80, 22, 10, 0], [1, 8, 2, 186, 151, 304, 700, 52, 439, 24, 50, 2, 1], [1, 8, 2, 187, 142, 340, 616, 178, 313, 108, 14, 11, 0], [1, 8, 2, 187, 143, 332, 644, 122, 383, 52, 42, 3, 1], [1, 8, 2, 188, 134, 368, 560, 248, 257, 136, 6, 12, 0], [1, 8, 2, 188, 135, 360, 588, 192, 327, 80, 34, 4, 1], [1, 8, 2, 189, 127, 388, 532, 262, 271, 108, 26, 5, 1], [1, 8, 2, 190, 119, 416, 476, 332, 215, 136, 18, 6, 1], [1, 8, 2, 191, 111, 444, 420, 402, 159, 164, 10, 7, 1], [1, 8, 2, 192, 103, 472, 364, 472, 103, 192, 2, 8, 1], [1, 8, 2, 192, 104, 464, 392, 416, 173, 136, 30, 0, 2], [1, 8, 2, 193, 96, 492, 336, 486, 117, 164, 22, 1, 2], [1, 8, 2, 194, 88, 520, 280, 556, 61, 192, 14, 2, 2], [1, 8, 2, 195, 80, 548, 224, 626, 5, 220, 6, 3, 2], [1, 8, 3, 178, 178, 256, 742, 52, 397, 72, 23, 10, 0], [1, 8, 3, 179, 170, 284, 686, 122, 341, 100, 15, 11, 0], [1, 8, 3, 179, 171, 276, 714, 66, 411, 44, 43, 3, 1], [1, 8, 3, 180, 162, 312, 630, 192, 285, 128, 7, 12, 0], [1, 8, 3, 180, 163, 304, 658, 136, 355, 72, 35, 4, 1], [1, 8, 3, 181, 155, 332, 602, 206, 299, 100, 27, 5, 1], [1, 8, 3, 182, 147, 360, 546, 276, 243, 128, 19, 6, 1], [1, 8, 3, 183, 139, 388, 490, 346, 187, 156, 11, 7, 1], [1, 8, 3, 184, 131, 416, 434, 416, 131, 184, 3, 8, 1], [1, 8, 3, 184, 132, 408, 462, 360, 201, 128, 31, 0, 2], [1, 8, 3, 185, 124, 436, 406, 430, 145, 156, 23, 1, 2], [1, 8, 3, 186, 116, 464, 350, 500, 89, 184, 15, 2, 2], [1, 8, 3, 187, 108, 492, 294, 570, 33, 212, 7, 3, 2], [1, 8, 4, 171, 198, 228, 756, 66, 369, 92, 16, 11, 0], [1, 8, 4, 171, 199, 220, 784, 10, 439, 36, 44, 3, 1], [1, 8, 4, 172, 190, 256, 700, 136, 313, 120, 8, 12, 0], [1, 8, 4, 172, 191, 248, 728, 80, 383, 64, 36, 4, 1], [1, 8, 4, 173, 182, 284, 644, 206, 257, 148, 0, 13, 0], [1, 8, 4, 173, 183, 276, 672, 150, 327, 92, 28, 5, 1], [1, 8, 4, 174, 175, 304, 616, 220, 271, 120, 20, 6, 1], [1, 8, 4, 175, 167, 332, 560, 290, 215, 148, 12, 7, 1], [1, 8, 4, 176, 159, 360, 504, 360, 159, 176, 4, 8, 1], [1, 8, 4, 176, 160, 352, 532, 304, 229, 120, 32, 0, 2], [1, 8, 4, 177, 152, 380, 476, 374, 173, 148, 24, 1, 2], [1, 8, 4, 178, 144, 408, 420, 444, 117, 176, 16, 2, 2], [1, 8, 4, 179, 136, 436, 364, 514, 61, 204, 8, 3, 2], [1, 8, 4, 180, 128, 464, 308, 584, 5, 232, 0, 4, 2], [1, 8, 5, 163, 226, 172, 826, 10, 397, 84, 17, 11, 0], [1, 8, 5, 164, 218, 200, 770, 80, 341, 112, 9, 12, 0], [1, 8, 5, 164, 219, 192, 798, 24, 411, 56, 37, 4, 1], [1, 8, 5, 165, 210, 228, 714, 150, 285, 140, 1, 13, 0], [1, 8, 5, 165, 211, 220, 742, 94, 355, 84, 29, 5, 1], [1, 8, 5, 166, 203, 248, 686, 164, 299, 112, 21, 6, 1], [1, 8, 5, 167, 195, 276, 630, 234, 243, 140, 13, 7, 1], [1, 8, 5, 168, 187, 304, 574, 304, 187, 168, 5, 8, 1], [1, 8, 5, 168, 188, 296, 602, 248, 257, 112, 33, 0, 2], [1, 8, 5, 169, 180, 324, 546, 318, 201, 140, 25, 1, 2], [1, 8, 5, 170, 172, 352, 490, 388, 145, 168, 17, 2, 2], [1, 8, 5, 171, 164, 380, 434, 458, 89, 196, 9, 3, 2], [1, 8, 5, 172, 156, 408, 378, 528, 33, 224, 1, 4, 2], [1, 8, 6, 156, 246, 144, 840, 24, 369, 104, 10, 12, 0], [1, 8, 6, 157, 238, 172, 784, 94, 313, 132, 2, 13, 0], [1, 8, 6, 157, 239, 164, 812, 38, 383, 76, 30, 5, 1], [1, 8, 6, 158, 231, 192, 756, 108, 327, 104, 22, 6, 1], [1, 8, 6, 159, 223, 220, 700, 178, 271, 132, 14, 7, 1], [1, 8, 6, 160, 215, 248, 644, 248, 215, 160, 6, 8, 1], [1, 8, 6, 160, 216, 240, 672, 192, 285, 104, 34, 0, 2], [1, 8, 6, 161, 208, 268, 616, 262, 229, 132, 26, 1, 2], [1, 8, 6, 162, 200, 296, 560, 332, 173, 160, 18, 2, 2], [1, 8, 6, 163, 192, 324, 504, 402, 117, 188, 10, 3, 2], [1, 8, 6, 164, 184, 352, 448, 472, 61, 216, 2, 4, 2], [1, 8, 7, 149, 266, 116, 854, 38, 341, 124, 3, 13, 0], [1, 8, 7, 150, 259, 136, 826, 52, 355, 96, 23, 6, 1], [1, 8, 7, 151, 251, 164, 770, 122, 299, 124, 15, 7, 1], [1, 8, 7, 152, 243, 192, 714, 192, 243, 152, 7, 8, 1], [1, 8, 7, 152, 244, 184, 742, 136, 313, 96, 35, 0, 2], [1, 8, 7, 153, 236, 212, 686, 206, 257, 124, 27, 1, 2], [1, 8, 7, 154, 228, 240, 630, 276, 201, 152, 19, 2, 2], [1, 8, 7, 155, 220, 268, 574, 346, 145, 180, 11, 3, 2], [1, 8, 7, 156, 212, 296, 518, 416, 89, 208, 3, 4, 2], [1, 8, 8, 143, 279, 108, 840, 66, 327, 116, 16, 7, 1], [1, 8, 8, 144, 271, 136, 784, 136, 271, 144, 8, 8, 1], [1, 8, 8, 144, 272, 128, 812, 80, 341, 88, 36, 0, 2], [1, 8, 8, 145, 263, 164, 728, 206, 215, 172, 0, 9, 1], [1, 8, 8, 145, 264, 156, 756, 150, 285, 116, 28, 1, 2], [1, 8, 8, 146, 256, 184, 700, 220, 229, 144, 20, 2, 2], [1, 8, 8, 147, 248, 212, 644, 290, 173, 172, 12, 3, 2], [1, 8, 8, 148, 240, 240, 588, 360, 117, 200, 4, 4, 2], [1, 8, 9, 135, 307, 52, 910, 10, 355, 108, 17, 7, 1], [1, 8, 9, 136, 299, 80, 854, 80, 299, 136, 9, 8, 1], [1, 8, 9, 136, 300, 72, 882, 24, 369, 80, 37, 0, 2], [1, 8, 9, 137, 291, 108, 798, 150, 243, 164, 1, 9, 1], [1, 8, 9, 137, 292, 100, 826, 94, 313, 108, 29, 1, 2], [1, 8, 9, 138, 284, 128, 770, 164, 257, 136, 21, 2, 2], [1, 8, 9, 139, 276, 156, 714, 234, 201, 164, 13, 3, 2], [1, 8, 9, 140, 268, 184, 658, 304, 145, 192, 5, 4, 2], [1, 8, 10, 128, 327, 24, 924, 24, 327, 128, 10, 8, 1], [1, 8, 10, 129, 319, 52, 868, 94, 271, 156, 2, 9, 1], [1, 8, 10, 129, 320, 44, 896, 38, 341, 100, 30, 1, 2], [1, 8, 10, 130, 312, 72, 840, 108, 285, 128, 22, 2, 2], [1, 8, 10, 131, 304, 100, 784, 178, 229, 156, 14, 3, 2], [1, 8, 10, 132, 296, 128, 728, 248, 173, 184, 6, 4, 2], [1, 8, 10, 136, 265, 232, 532, 472, 19, 240, 2, 0, 3], [1, 8, 11, 122, 340, 16, 910, 52, 313, 120, 23, 2, 2], [1, 8, 11, 123, 332, 44, 854, 122, 257, 148, 15, 3, 2], [1, 8, 11, 124, 324, 72, 798, 192, 201, 176, 7, 4, 2], [1, 8, 11, 128, 293, 176, 602, 416, 47, 232, 3, 0, 3], [1, 8, 12, 116, 352, 16, 868, 136, 229, 168, 8, 4, 2], [1, 8, 12, 117, 344, 44, 812, 206, 173, 196, 0, 5, 2], [1, 8, 12, 120, 321, 120, 672, 360, 75, 224, 4, 0, 3], [1, 8, 13, 112, 349, 64, 742, 304, 103, 216, 5, 0, 3], [1, 8, 14, 104, 377, 8, 812, 248, 131, 208, 6, 0, 3], [1, 9, 0, 169, 238, 130, 868, 10, 361, 117, 4, 13, 0], [1, 9, 0, 170, 231, 150, 840, 24, 375, 89, 24, 6, 1], [1, 9, 0, 171, 223, 178, 784, 94, 319, 117, 16, 7, 1], [1, 9, 0, 172, 215, 206, 728, 164, 263, 145, 8, 8, 1], [1, 9, 0, 172, 216, 198, 756, 108, 333, 89, 36, 0, 2], [1, 9, 0, 173, 207, 234, 672, 234, 207, 173, 0, 9, 1], [1, 9, 0, 173, 208, 226, 700, 178, 277, 117, 28, 1, 2], [1, 9, 0, 174, 200, 254, 644, 248, 221, 145, 20, 2, 2], [1, 9, 0, 175, 192, 282, 588, 318, 165, 173, 12, 3, 2], [1, 9, 0, 176, 184, 310, 532, 388, 109, 201, 4, 4, 2], [1, 9, 1, 163, 251, 122, 854, 38, 347, 109, 17, 7, 1], [1, 9, 1, 164, 243, 150, 798, 108, 291, 137, 9, 8, 1], [1, 9, 1, 164, 244, 142, 826, 52, 361, 81, 37, 0, 2], [1, 9, 1, 165, 235, 178, 742, 178, 235, 165, 1, 9, 1], [1, 9, 1, 165, 236, 170, 770, 122, 305, 109, 29, 1, 2], [1, 9, 1, 166, 228, 198, 714, 192, 249, 137, 21, 2, 2], [1, 9, 1, 167, 220, 226, 658, 262, 193, 165, 13, 3, 2], [1, 9, 1, 168, 212, 254, 602, 332, 137, 193, 5, 4, 2], [1, 9, 2, 156, 271, 94, 868, 52, 319, 129, 10, 8, 1], [1, 9, 2, 157, 263, 122, 812, 122, 263, 157, 2, 9, 1], [1, 9, 2, 157, 264, 114, 840, 66, 333, 101, 30, 1, 2], [1, 9, 2, 158, 256, 142, 784, 136, 277, 129, 22, 2, 2], [1, 9, 2, 159, 248, 170, 728, 206, 221, 157, 14, 3, 2], [1, 9, 2, 160, 240, 198, 672, 276, 165, 185, 6, 4, 2], [1, 9, 2, 164, 209, 302, 476, 500, 11, 241, 2, 0, 3], [1, 9, 3, 149, 291, 66, 882, 66, 291, 149, 3, 9, 1], [1, 9, 3, 149, 292, 58, 910, 10, 361, 93, 31, 1, 2], [1, 9, 3, 150, 284, 86, 854, 80, 305, 121, 23, 2, 2], [1, 9, 3, 151, 276, 114, 798, 150, 249, 149, 15, 3, 2], [1, 9, 3, 152, 268, 142, 742, 220, 193, 177, 7, 4, 2], [1, 9, 3, 156, 237, 246, 546, 444, 39, 233, 3, 0, 3], [1, 9, 4, 141, 319, 10, 952, 10, 319, 141, 4, 9, 1], [1, 9, 4, 142, 312, 30, 924, 24, 333, 113, 24, 2, 2], [1, 9, 4, 143, 304, 58, 868, 94, 277, 141, 16, 3, 2], [1, 9, 4, 144, 296, 86, 812, 164, 221, 169, 8, 4, 2], [1, 9, 4, 145, 288, 114, 756, 234, 165, 197, 0, 5, 2], [1, 9, 4, 148, 265, 190, 616, 388, 67, 225, 4, 0, 3], [1, 9, 5, 135, 332, 2, 938, 38, 305, 133, 17, 3, 2], [1, 9, 5, 136, 324, 30, 882, 108, 249, 161, 9, 4, 2], [1, 9, 5, 137, 316, 58, 826, 178, 193, 189, 1, 5, 2], [1, 9, 5, 140, 293, 134, 686, 332, 95, 217, 5, 0, 3], [1, 9, 6, 129, 344, 2, 896, 122, 221, 181, 2, 5, 2], [1, 9, 6, 132, 321, 78, 756, 276, 123, 209, 6, 0, 3], [1, 9, 7, 124, 349, 22, 826, 220, 151, 201, 7, 0, 3], [1, 10, 0, 144, 321, 36, 840, 192, 171, 194, 8, 0, 3], [1, 10, 0, 145, 313, 64, 784, 262, 115, 222, 0, 1, 3], [1, 10, 1, 137, 341, 8, 854, 206, 143, 214, 1, 1, 3], [2, 0, 21, 197, 8, 620, 350, 254, 398, 12, 53, 5, 0], [2, 0, 21, 198, 0, 648, 294, 324, 342, 40, 45, 6, 0], [2, 0, 22, 189, 36, 564, 420, 198, 426, 4, 54, 5, 0], [2, 0, 22, 190, 28, 592, 364, 268, 370, 32, 46, 6, 0], [2, 0, 22, 191, 20, 620, 308, 338, 314, 60, 38, 7, 0], [2, 0, 22, 192, 12, 648, 252, 408, 258, 88, 30, 8, 0], [2, 0, 22, 192, 13, 640, 280, 352, 328, 32, 58, 0, 1], [2, 0, 22, 193, 4, 676, 196, 478, 202, 116, 22, 9, 0], [2, 0, 22, 193, 5, 668, 224, 422, 272, 60, 50, 1, 1], [2, 0, 23, 182, 56, 536, 434, 212, 398, 24, 47, 6, 0], [2, 0, 23, 183, 48, 564, 378, 282, 342, 52, 39, 7, 0], [2, 0, 23, 184, 40, 592, 322, 352, 286, 80, 31, 8, 0], [2, 0, 23, 184, 41, 584, 350, 296, 356, 24, 59, 0, 1], [2, 0, 23, 185, 32, 620, 266, 422, 230, 108, 23, 9, 0], [2, 0, 23, 185, 33, 612, 294, 366, 300, 52, 51, 1, 1], [2, 0, 23, 186, 24, 648, 210, 492, 174, 136, 15, 10, 0], [2, 0, 23, 186, 25, 640, 238, 436, 244, 80, 43, 2, 1], [2, 0, 23, 187, 16, 676, 154, 562, 118, 164, 7, 11, 0], [2, 0, 23, 187, 17, 668, 182, 506, 188, 108, 35, 3, 1], [2, 0, 23, 188, 9, 696, 126, 576, 132, 136, 27, 4, 1], [2, 0, 23, 189, 1, 724, 70, 646, 76, 164, 19, 5, 1], [2, 0, 24, 174, 84, 480, 504, 156, 426, 16, 48, 6, 0], [2, 0, 24, 175, 76, 508, 448, 226, 370, 44, 40, 7, 0], [2, 0, 24, 176, 68, 536, 392, 296, 314, 72, 32, 8, 0], [2, 0, 24, 176, 69, 528, 420, 240, 384, 16, 60, 0, 1], [2, 0, 24, 177, 60, 564, 336, 366, 258, 100, 24, 9, 0], [2, 0, 24, 177, 61, 556, 364, 310, 328, 44, 52, 1, 1], [2, 0, 24, 178, 52, 592, 280, 436, 202, 128, 16, 10, 0], [2, 0, 24, 178, 53, 584, 308, 380, 272, 72, 44, 2, 1], [2, 0, 24, 179, 44, 620, 224, 506, 146, 156, 8, 11, 0], [2, 0, 24, 179, 45, 612, 252, 450, 216, 100, 36, 3, 1], [2, 0, 24, 180, 36, 648, 168, 576, 90, 184, 0, 12, 0], [2, 0, 24, 180, 37, 640, 196, 520, 160, 128, 28, 4, 1], [2, 0, 24, 181, 29, 668, 140, 590, 104, 156, 20, 5, 1], [2, 0, 24, 182, 21, 696, 84, 660, 48, 184, 12, 6, 1], [2, 0, 24, 184, 6, 744, 0, 744, 6, 184, 24, 0, 2], [2, 0, 25, 166, 112, 424, 574, 100, 454, 8, 49, 6, 0], [2, 0, 25, 167, 104, 452, 518, 170, 398, 36, 41, 7, 0], [2, 0, 25, 168, 96, 480, 462, 240, 342, 64, 33, 8, 0], [2, 0, 25, 168, 97, 472, 490, 184, 412, 8, 61, 0, 1], [2, 0, 25, 169, 88, 508, 406, 310, 286, 92, 25, 9, 0], [2, 0, 25, 169, 89, 500, 434, 254, 356, 36, 53, 1, 1], [2, 0, 25, 170, 80, 536, 350, 380, 230, 120, 17, 10, 0], [2, 0, 25, 170, 81, 528, 378, 324, 300, 64, 45, 2, 1], [2, 0, 25, 171, 72, 564, 294, 450, 174, 148, 9, 11, 0], [2, 0, 25, 171, 73, 556, 322, 394, 244, 92, 37, 3, 1], [2, 0, 25, 172, 64, 592, 238, 520, 118, 176, 1, 12, 0], [2, 0, 25, 172, 65, 584, 266, 464, 188, 120, 29, 4, 1], [2, 0, 25, 173, 57, 612, 210, 534, 132, 148, 21, 5, 1], [2, 0, 25, 174, 49, 640, 154, 604, 76, 176, 13, 6, 1], [2, 0, 25, 175, 41, 668, 98, 674, 20, 204, 5, 7, 1], [2, 0, 25, 176, 34, 688, 70, 688, 34, 176, 25, 0, 2], [2, 0, 26, 158, 140, 368, 644, 44, 482, 0, 50, 6, 0], [2, 0, 26, 159, 132, 396, 588, 114, 426, 28, 42, 7, 0], [2, 0, 26, 160, 124, 424, 532, 184, 370, 56, 34, 8, 0], [2, 0, 26, 160, 125, 416, 560, 128, 440, 0, 62, 0, 1], [2, 0, 26, 161, 116, 452, 476, 254, 314, 84, 26, 9, 0], [2, 0, 26, 161, 117, 444, 504, 198, 384, 28, 54, 1, 1], [2, 0, 26, 162, 108, 480, 420, 324, 258, 112, 18, 10, 0], [2, 0, 26, 162, 109, 472, 448, 268, 328, 56, 46, 2, 1], [2, 0, 26, 163, 100, 508, 364, 394, 202, 140, 10, 11, 0], [2, 0, 26, 163, 101, 500, 392, 338, 272, 84, 38, 3, 1], [2, 0, 26, 164, 92, 536, 308, 464, 146, 168, 2, 12, 0], [2, 0, 26, 164, 93, 528, 336, 408, 216, 112, 30, 4, 1], [2, 0, 26, 165, 85, 556, 280, 478, 160, 140, 22, 5, 1], [2, 0, 26, 166, 77, 584, 224, 548, 104, 168, 14, 6, 1], [2, 0, 26, 167, 69, 612, 168, 618, 48, 196, 6, 7, 1], [2, 0, 26, 168, 62, 632, 140, 632, 62, 168, 26, 0, 2], [2, 0, 26, 169, 54, 660, 84, 702, 6, 196, 18, 1, 2], [2, 0, 27, 151, 160, 340, 658, 58, 454, 20, 43, 7, 0], [2, 0, 27, 152, 152, 368, 602, 128, 398, 48, 35, 8, 0], [2, 0, 27, 153, 144, 396, 546, 198, 342, 76, 27, 9, 0], [2, 0, 27, 153, 145, 388, 574, 142, 412, 20, 55, 1, 1], [2, 0, 27, 154, 136, 424, 490, 268, 286, 104, 19, 10, 0], [2, 0, 27, 154, 137, 416, 518, 212, 356, 48, 47, 2, 1], [2, 0, 27, 155, 128, 452, 434, 338, 230, 132, 11, 11, 0], [2, 0, 27, 155, 129, 444, 462, 282, 300, 76, 39, 3, 1], [2, 0, 27, 156, 120, 480, 378, 408, 174, 160, 3, 12, 0], [2, 0, 27, 156, 121, 472, 406, 352, 244, 104, 31, 4, 1], [2, 0, 27, 157, 113, 500, 350, 422, 188, 132, 23, 5, 1], [2, 0, 27, 158, 105, 528, 294, 492, 132, 160, 15, 6, 1], [2, 0, 27, 159, 97, 556, 238, 562, 76, 188, 7, 7, 1], [2, 0, 27, 160, 90, 576, 210, 576, 90, 160, 27, 0, 2], [2, 0, 27, 161, 82, 604, 154, 646, 34, 188, 19, 1, 2], [2, 0, 28, 143, 188, 284, 728, 2, 482, 12, 44, 7, 0], [2, 0, 28, 144, 180, 312, 672, 72, 426, 40, 36, 8, 0], [2, 0, 28, 145, 172, 340, 616, 142, 370, 68, 28, 9, 0], [2, 0, 28, 145, 173, 332, 644, 86, 440, 12, 56, 1, 1], [2, 0, 28, 146, 164, 368, 560, 212, 314, 96, 20, 10, 0], [2, 0, 28, 146, 165, 360, 588, 156, 384, 40, 48, 2, 1], [2, 0, 28, 147, 156, 396, 504, 282, 258, 124, 12, 11, 0], [2, 0, 28, 147, 157, 388, 532, 226, 328, 68, 40, 3, 1], [2, 0, 28, 148, 148, 424, 448, 352, 202, 152, 4, 12, 0], [2, 0, 28, 148, 149, 416, 476, 296, 272, 96, 32, 4, 1], [2, 0, 28, 149, 141, 444, 420, 366, 216, 124, 24, 5, 1], [2, 0, 28, 150, 133, 472, 364, 436, 160, 152, 16, 6, 1], [2, 0, 28, 151, 125, 500, 308, 506, 104, 180, 8, 7, 1], [2, 0, 28, 152, 117, 528, 252, 576, 48, 208, 0, 8, 1], [2, 0, 28, 152, 118, 520, 280, 520, 118, 152, 28, 0, 2], [2, 0, 28, 153, 110, 548, 224, 590, 62, 180, 20, 1, 2], [2, 0, 28, 154, 102, 576, 168, 660, 6, 208, 12, 2, 2], [2, 0, 29, 136, 208, 256, 742, 16, 454, 32, 37, 8, 0], [2, 0, 29, 137, 200, 284, 686, 86, 398, 60, 29, 9, 0], [2, 0, 29, 137, 201, 276, 714, 30, 468, 4, 57, 1, 1], [2, 0, 29, 138, 192, 312, 630, 156, 342, 88, 21, 10, 0], [2, 0, 29, 138, 193, 304, 658, 100, 412, 32, 49, 2, 1], [2, 0, 29, 139, 184, 340, 574, 226, 286, 116, 13, 11, 0], [2, 0, 29, 139, 185, 332, 602, 170, 356, 60, 41, 3, 1], [2, 0, 29, 140, 176, 368, 518, 296, 230, 144, 5, 12, 0], [2, 0, 29, 140, 177, 360, 546, 240, 300, 88, 33, 4, 1], [2, 0, 29, 141, 169, 388, 490, 310, 244, 116, 25, 5, 1], [2, 0, 29, 142, 161, 416, 434, 380, 188, 144, 17, 6, 1], [2, 0, 29, 143, 153, 444, 378, 450, 132, 172, 9, 7, 1], [2, 0, 29, 144, 145, 472, 322, 520, 76, 200, 1, 8, 1], [2, 0, 29, 144, 146, 464, 350, 464, 146, 144, 29, 0, 2], [2, 0, 29, 145, 138, 492, 294, 534, 90, 172, 21, 1, 2], [2, 0, 29, 146, 130, 520, 238, 604, 34, 200, 13, 2, 2], [2, 0, 30, 129, 228, 228, 756, 30, 426, 52, 30, 9, 0], [2, 0, 30, 130, 220, 256, 700, 100, 370, 80, 22, 10, 0], [2, 0, 30, 130, 221, 248, 728, 44, 440, 24, 50, 2, 1], [2, 0, 30, 131, 212, 284, 644, 170, 314, 108, 14, 11, 0], [2, 0, 30, 131, 213, 276, 672, 114, 384, 52, 42, 3, 1], [2, 0, 30, 132, 204, 312, 588, 240, 258, 136, 6, 12, 0], [2, 0, 30, 132, 205, 304, 616, 184, 328, 80, 34, 4, 1], [2, 0, 30, 133, 197, 332, 560, 254, 272, 108, 26, 5, 1], [2, 0, 30, 134, 189, 360, 504, 324, 216, 136, 18, 6, 1], [2, 0, 30, 135, 181, 388, 448, 394, 160, 164, 10, 7, 1], [2, 0, 30, 136, 173, 416, 392, 464, 104, 192, 2, 8, 1], [2, 0, 30, 136, 174, 408, 420, 408, 174, 136, 30, 0, 2], [2, 0, 30, 137, 166, 436, 364, 478, 118, 164, 22, 1, 2], [2, 0, 30, 138, 158, 464, 308, 548, 62, 192, 14, 2, 2], [2, 0, 30, 139, 150, 492, 252, 618, 6, 220, 6, 3, 2], [2, 0, 31, 122, 248, 200, 770, 44, 398, 72, 23, 10, 0], [2, 0, 31, 123, 240, 228, 714, 114, 342, 100, 15, 11, 0], [2, 0, 31, 123, 241, 220, 742, 58, 412, 44, 43, 3, 1], [2, 0, 31, 124, 232, 256, 658, 184, 286, 128, 7, 12, 0], [2, 0, 31, 124, 233, 248, 686, 128, 356, 72, 35, 4, 1], [2, 0, 31, 125, 225, 276, 630, 198, 300, 100, 27, 5, 1], [2, 0, 31, 126, 217, 304, 574, 268, 244, 128, 19, 6, 1], [2, 0, 31, 127, 209, 332, 518, 338, 188, 156, 11, 7, 1], [2, 0, 31, 128, 201, 360, 462, 408, 132, 184, 3, 8, 1], [2, 0, 31, 128, 202, 352, 490, 352, 202, 128, 31, 0, 2], [2, 0, 31, 129, 194, 380, 434, 422, 146, 156, 23, 1, 2], [2, 0, 31, 130, 186, 408, 378, 492, 90, 184, 15, 2, 2], [2, 0, 31, 131, 178, 436, 322, 562, 34, 212, 7, 3, 2], [2, 0, 32, 115, 268, 172, 784, 58, 370, 92, 16, 11, 0], [2, 0, 32, 115, 269, 164, 812, 2, 440, 36, 44, 3, 1], [2, 0, 32, 116, 260, 200, 728, 128, 314, 120, 8, 12, 0], [2, 0, 32, 116, 261, 192, 756, 72, 384, 64, 36, 4, 1], [2, 0, 32, 117, 252, 228, 672, 198, 258, 148, 0, 13, 0], [2, 0, 32, 117, 253, 220, 700, 142, 328, 92, 28, 5, 1], [2, 0, 32, 118, 245, 248, 644, 212, 272, 120, 20, 6, 1], [2, 0, 32, 119, 237, 276, 588, 282, 216, 148, 12, 7, 1], [2, 0, 32, 120, 229, 304, 532, 352, 160, 176, 4, 8, 1], [2, 0, 32, 120, 230, 296, 560, 296, 230, 120, 32, 0, 2], [2, 0, 32, 121, 222, 324, 504, 366, 174, 148, 24, 1, 2], [2, 0, 32, 122, 214, 352, 448, 436, 118, 176, 16, 2, 2], [2, 0, 32, 123, 206, 380, 392, 506, 62, 204, 8, 3, 2], [2, 0, 32, 124, 198, 408, 336, 576, 6, 232, 0, 4, 2], [2, 0, 33, 107, 296, 116, 854, 2, 398, 84, 17, 11, 0], [2, 0, 33, 108, 288, 144, 798, 72, 342, 112, 9, 12, 0], [2, 0, 33, 108, 289, 136, 826, 16, 412, 56, 37, 4, 1], [2, 0, 33, 109, 280, 172, 742, 142, 286, 140, 1, 13, 0], [2, 0, 33, 109, 281, 164, 770, 86, 356, 84, 29, 5, 1], [2, 0, 33, 110, 273, 192, 714, 156, 300, 112, 21, 6, 1], [2, 0, 33, 111, 265, 220, 658, 226, 244, 140, 13, 7, 1], [2, 0, 33, 112, 257, 248, 602, 296, 188, 168, 5, 8, 1], [2, 0, 33, 112, 258, 240, 630, 240, 258, 112, 33, 0, 2], [2, 0, 33, 113, 250, 268, 574, 310, 202, 140, 25, 1, 2], [2, 0, 33, 114, 242, 296, 518, 380, 146, 168, 17, 2, 2], [2, 0, 33, 115, 234, 324, 462, 450, 90, 196, 9, 3, 2], [2, 0, 33, 116, 226, 352, 406, 520, 34, 224, 1, 4, 2], [2, 0, 34, 100, 316, 88, 868, 16, 370, 104, 10, 12, 0], [2, 0, 34, 101, 308, 116, 812, 86, 314, 132, 2, 13, 0], [2, 0, 34, 101, 309, 108, 840, 30, 384, 76, 30, 5, 1], [2, 0, 34, 102, 301, 136, 784, 100, 328, 104, 22, 6, 1], [2, 0, 34, 103, 293, 164, 728, 170, 272, 132, 14, 7, 1], [2, 0, 34, 104, 285, 192, 672, 240, 216, 160, 6, 8, 1], [2, 0, 34, 104, 286, 184, 700, 184, 286, 104, 34, 0, 2], [2, 0, 34, 105, 278, 212, 644, 254, 230, 132, 26, 1, 2], [2, 0, 34, 106, 270, 240, 588, 324, 174, 160, 18, 2, 2], [2, 0, 34, 107, 262, 268, 532, 394, 118, 188, 10, 3, 2], [2, 0, 34, 108, 254, 296, 476, 464, 62, 216, 2, 4, 2], [2, 0, 35, 93, 336, 60, 882, 30, 342, 124, 3, 13, 0], [2, 0, 35, 94, 329, 80, 854, 44, 356, 96, 23, 6, 1], [2, 0, 35, 95, 321, 108, 798, 114, 300, 124, 15, 7, 1], [2, 0, 35, 96, 313, 136, 742, 184, 244, 152, 7, 8, 1], [2, 0, 35, 96, 314, 128, 770, 128, 314, 96, 35, 0, 2], [2, 0, 35, 97, 306, 156, 714, 198, 258, 124, 27, 1, 2], [2, 0, 35, 98, 298, 184, 658, 268, 202, 152, 19, 2, 2], [2, 0, 35, 99, 290, 212, 602, 338, 146, 180, 11, 3, 2], [2, 0, 35, 100, 282, 240, 546, 408, 90, 208, 3, 4, 2], [2, 0, 36, 87, 349, 52, 868, 58, 328, 116, 16, 7, 1], [2, 0, 36, 88, 341, 80, 812, 128, 272, 144, 8, 8, 1], [2, 0, 36, 88, 342, 72, 840, 72, 342, 88, 36, 0, 2], [2, 0, 36, 89, 333, 108, 756, 198, 216, 172, 0, 9, 1], [2, 0, 36, 89, 334, 100, 784, 142, 286, 116, 28, 1, 2], [2, 0, 36, 90, 326, 128, 728, 212, 230, 144, 20, 2, 2], [2, 0, 36, 91, 318, 156, 672, 282, 174, 172, 12, 3, 2], [2, 0, 36, 92, 310, 184, 616, 352, 118, 200, 4, 4, 2], [2, 0, 37, 80, 369, 24, 882, 72, 300, 136, 9, 8, 1], [2, 0, 37, 80, 370, 16, 910, 16, 370, 80, 37, 0, 2], [2, 0, 37, 81, 361, 52, 826, 142, 244, 164, 1, 9, 1], [2, 0, 37, 81, 362, 44, 854, 86, 314, 108, 29, 1, 2], [2, 0, 37, 82, 354, 72, 798, 156, 258, 136, 21, 2, 2], [2, 0, 37, 83, 346, 100, 742, 226, 202, 164, 13, 3, 2], [2, 0, 37, 84, 338, 128, 686, 296, 146, 192, 5, 4, 2], [2, 0, 38, 74, 382, 16, 868, 100, 286, 128, 22, 2, 2], [2, 0, 38, 75, 374, 44, 812, 170, 230, 156, 14, 3, 2], [2, 0, 38, 76, 366, 72, 756, 240, 174, 184, 6, 4, 2], [2, 0, 38, 80, 335, 176, 560, 464, 20, 240, 2, 0, 3], [2, 0, 39, 68, 394, 16, 826, 184, 202, 176, 7, 4, 2], [2, 0, 39, 72, 363, 120, 630, 408, 48, 232, 3, 0, 3], [2, 0, 40, 64, 391, 64, 700, 352, 76, 224, 4, 0, 3], [2, 0, 41, 56, 419, 8, 770, 296, 104, 216, 5, 0, 3], [2, 1, 15, 210, 0, 606, 378, 240, 390, 25, 47, 6, 0], [2, 1, 16, 202, 28, 550, 448, 184, 418, 17, 48, 6, 0], [2, 1, 16, 203, 20, 578, 392, 254, 362, 45, 40, 7, 0], [2, 1, 16, 204, 12, 606, 336, 324, 306, 73, 32, 8, 0], [2, 1, 16, 204, 13, 598, 364, 268, 376, 17, 60, 0, 1], [2, 1, 16, 205, 4, 634, 280, 394, 250, 101, 24, 9, 0], [2, 1, 16, 205, 5, 626, 308, 338, 320, 45, 52, 1, 1], [2, 1, 17, 194, 56, 494, 518, 128, 446, 9, 49, 6, 0], [2, 1, 17, 195, 48, 522, 462, 198, 390, 37, 41, 7, 0], [2, 1, 17, 196, 40, 550, 406, 268, 334, 65, 33, 8, 0], [2, 1, 17, 196, 41, 542, 434, 212, 404, 9, 61, 0, 1], [2, 1, 17, 197, 32, 578, 350, 338, 278, 93, 25, 9, 0], [2, 1, 17, 197, 33, 570, 378, 282, 348, 37, 53, 1, 1], [2, 1, 17, 198, 24, 606, 294, 408, 222, 121, 17, 10, 0], [2, 1, 17, 198, 25, 598, 322, 352, 292, 65, 45, 2, 1], [2, 1, 17, 199, 16, 634, 238, 478, 166, 149, 9, 11, 0], [2, 1, 17, 199, 17, 626, 266, 422, 236, 93, 37, 3, 1], [2, 1, 17, 200, 8, 662, 182, 548, 110, 177, 1, 12, 0], [2, 1, 17, 200, 9, 654, 210, 492, 180, 121, 29, 4, 1], [2, 1, 17, 201, 1, 682, 154, 562, 124, 149, 21, 5, 1], [2, 1, 18, 186, 84, 438, 588, 72, 474, 1, 50, 6, 0], [2, 1, 18, 187, 76, 466, 532, 142, 418, 29, 42, 7, 0], [2, 1, 18, 188, 68, 494, 476, 212, 362, 57, 34, 8, 0], [2, 1, 18, 188, 69, 486, 504, 156, 432, 1, 62, 0, 1], [2, 1, 18, 189, 60, 522, 420, 282, 306, 85, 26, 9, 0], [2, 1, 18, 189, 61, 514, 448, 226, 376, 29, 54, 1, 1], [2, 1, 18, 190, 52, 550, 364, 352, 250, 113, 18, 10, 0], [2, 1, 18, 190, 53, 542, 392, 296, 320, 57, 46, 2, 1], [2, 1, 18, 191, 44, 578, 308, 422, 194, 141, 10, 11, 0], [2, 1, 18, 191, 45, 570, 336, 366, 264, 85, 38, 3, 1], [2, 1, 18, 192, 36, 606, 252, 492, 138, 169, 2, 12, 0], [2, 1, 18, 192, 37, 598, 280, 436, 208, 113, 30, 4, 1], [2, 1, 18, 193, 29, 626, 224, 506, 152, 141, 22, 5, 1], [2, 1, 18, 194, 21, 654, 168, 576, 96, 169, 14, 6, 1], [2, 1, 18, 195, 13, 682, 112, 646, 40, 197, 6, 7, 1], [2, 1, 18, 196, 6, 702, 84, 660, 54, 169, 26, 0, 2], [2, 1, 19, 179, 104, 410, 602, 86, 446, 21, 43, 7, 0], [2, 1, 19, 180, 96, 438, 546, 156, 390, 49, 35, 8, 0], [2, 1, 19, 181, 88, 466, 490, 226, 334, 77, 27, 9, 0], [2, 1, 19, 181, 89, 458, 518, 170, 404, 21, 55, 1, 1], [2, 1, 19, 182, 80, 494, 434, 296, 278, 105, 19, 10, 0], [2, 1, 19, 182, 81, 486, 462, 240, 348, 49, 47, 2, 1], [2, 1, 19, 183, 72, 522, 378, 366, 222, 133, 11, 11, 0], [2, 1, 19, 183, 73, 514, 406, 310, 292, 77, 39, 3, 1], [2, 1, 19, 184, 64, 550, 322, 436, 166, 161, 3, 12, 0], [2, 1, 19, 184, 65, 542, 350, 380, 236, 105, 31, 4, 1], [2, 1, 19, 185, 57, 570, 294, 450, 180, 133, 23, 5, 1], [2, 1, 19, 186, 49, 598, 238, 520, 124, 161, 15, 6, 1], [2, 1, 19, 187, 41, 626, 182, 590, 68, 189, 7, 7, 1], [2, 1, 19, 188, 34, 646, 154, 604, 82, 161, 27, 0, 2], [2, 1, 19, 189, 26, 674, 98, 674, 26, 189, 19, 1, 2], [2, 1, 20, 171, 132, 354, 672, 30, 474, 13, 44, 7, 0], [2, 1, 20, 172, 124, 382, 616, 100, 418, 41, 36, 8, 0], [2, 1, 20, 173, 116, 410, 560, 170, 362, 69, 28, 9, 0], [2, 1, 20, 173, 117, 402, 588, 114, 432, 13, 56, 1, 1], [2, 1, 20, 174, 108, 438, 504, 240, 306, 97, 20, 10, 0], [2, 1, 20, 174, 109, 430, 532, 184, 376, 41, 48, 2, 1], [2, 1, 20, 175, 100, 466, 448, 310, 250, 125, 12, 11, 0], [2, 1, 20, 175, 101, 458, 476, 254, 320, 69, 40, 3, 1], [2, 1, 20, 176, 92, 494, 392, 380, 194, 153, 4, 12, 0], [2, 1, 20, 176, 93, 486, 420, 324, 264, 97, 32, 4, 1], [2, 1, 20, 177, 85, 514, 364, 394, 208, 125, 24, 5, 1], [2, 1, 20, 178, 77, 542, 308, 464, 152, 153, 16, 6, 1], [2, 1, 20, 179, 69, 570, 252, 534, 96, 181, 8, 7, 1], [2, 1, 20, 180, 61, 598, 196, 604, 40, 209, 0, 8, 1], [2, 1, 20, 180, 62, 590, 224, 548, 110, 153, 28, 0, 2], [2, 1, 20, 181, 54, 618, 168, 618, 54, 181, 20, 1, 2], [2, 1, 21, 164, 152, 326, 686, 44, 446, 33, 37, 8, 0], [2, 1, 21, 165, 144, 354, 630, 114, 390, 61, 29, 9, 0], [2, 1, 21, 165, 145, 346, 658, 58, 460, 5, 57, 1, 1], [2, 1, 21, 166, 136, 382, 574, 184, 334, 89, 21, 10, 0], [2, 1, 21, 166, 137, 374, 602, 128, 404, 33, 49, 2, 1], [2, 1, 21, 167, 128, 410, 518, 254, 278, 117, 13, 11, 0], [2, 1, 21, 167, 129, 402, 546, 198, 348, 61, 41, 3, 1], [2, 1, 21, 168, 120, 438, 462, 324, 222, 145, 5, 12, 0], [2, 1, 21, 168, 121, 430, 490, 268, 292, 89, 33, 4, 1], [2, 1, 21, 169, 113, 458, 434, 338, 236, 117, 25, 5, 1], [2, 1, 21, 170, 105, 486, 378, 408, 180, 145, 17, 6, 1], [2, 1, 21, 171, 97, 514, 322, 478, 124, 173, 9, 7, 1], [2, 1, 21, 172, 89, 542, 266, 548, 68, 201, 1, 8, 1], [2, 1, 21, 172, 90, 534, 294, 492, 138, 145, 29, 0, 2], [2, 1, 21, 173, 82, 562, 238, 562, 82, 173, 21, 1, 2], [2, 1, 21, 174, 74, 590, 182, 632, 26, 201, 13, 2, 2], [2, 1, 22, 157, 172, 298, 700, 58, 418, 53, 30, 9, 0], [2, 1, 22, 158, 164, 326, 644, 128, 362, 81, 22, 10, 0], [2, 1, 22, 158, 165, 318, 672, 72, 432, 25, 50, 2, 1], [2, 1, 22, 159, 156, 354, 588, 198, 306, 109, 14, 11, 0], [2, 1, 22, 159, 157, 346, 616, 142, 376, 53, 42, 3, 1], [2, 1, 22, 160, 148, 382, 532, 268, 250, 137, 6, 12, 0], [2, 1, 22, 160, 149, 374, 560, 212, 320, 81, 34, 4, 1], [2, 1, 22, 161, 141, 402, 504, 282, 264, 109, 26, 5, 1], [2, 1, 22, 162, 133, 430, 448, 352, 208, 137, 18, 6, 1], [2, 1, 22, 163, 125, 458, 392, 422, 152, 165, 10, 7, 1], [2, 1, 22, 164, 117, 486, 336, 492, 96, 193, 2, 8, 1], [2, 1, 22, 164, 118, 478, 364, 436, 166, 137, 30, 0, 2], [2, 1, 22, 165, 110, 506, 308, 506, 110, 165, 22, 1, 2], [2, 1, 22, 166, 102, 534, 252, 576, 54, 193, 14, 2, 2], [2, 1, 23, 149, 200, 242, 770, 2, 446, 45, 31, 9, 0], [2, 1, 23, 150, 192, 270, 714, 72, 390, 73, 23, 10, 0], [2, 1, 23, 150, 193, 262, 742, 16, 460, 17, 51, 2, 1], [2, 1, 23, 151, 184, 298, 658, 142, 334, 101, 15, 11, 0], [2, 1, 23, 151, 185, 290, 686, 86, 404, 45, 43, 3, 1], [2, 1, 23, 152, 176, 326, 602, 212, 278, 129, 7, 12, 0], [2, 1, 23, 152, 177, 318, 630, 156, 348, 73, 35, 4, 1], [2, 1, 23, 153, 169, 346, 574, 226, 292, 101, 27, 5, 1], [2, 1, 23, 154, 161, 374, 518, 296, 236, 129, 19, 6, 1], [2, 1, 23, 155, 153, 402, 462, 366, 180, 157, 11, 7, 1], [2, 1, 23, 156, 145, 430, 406, 436, 124, 185, 3, 8, 1], [2, 1, 23, 156, 146, 422, 434, 380, 194, 129, 31, 0, 2], [2, 1, 23, 157, 138, 450, 378, 450, 138, 157, 23, 1, 2], [2, 1, 23, 158, 130, 478, 322, 520, 82, 185, 15, 2, 2], [2, 1, 23, 159, 122, 506, 266, 590, 26, 213, 7, 3, 2], [2, 1, 24, 142, 220, 214, 784, 16, 418, 65, 24, 10, 0], [2, 1, 24, 143, 212, 242, 728, 86, 362, 93, 16, 11, 0], [2, 1, 24, 143, 213, 234, 756, 30, 432, 37, 44, 3, 1], [2, 1, 24, 144, 204, 270, 672, 156, 306, 121, 8, 12, 0], [2, 1, 24, 144, 205, 262, 700, 100, 376, 65, 36, 4, 1], [2, 1, 24, 145, 196, 298, 616, 226, 250, 149, 0, 13, 0], [2, 1, 24, 145, 197, 290, 644, 170, 320, 93, 28, 5, 1], [2, 1, 24, 146, 189, 318, 588, 240, 264, 121, 20, 6, 1], [2, 1, 24, 147, 181, 346, 532, 310, 208, 149, 12, 7, 1], [2, 1, 24, 148, 173, 374, 476, 380, 152, 177, 4, 8, 1], [2, 1, 24, 148, 174, 366, 504, 324, 222, 121, 32, 0, 2], [2, 1, 24, 149, 166, 394, 448, 394, 166, 149, 24, 1, 2], [2, 1, 24, 150, 158, 422, 392, 464, 110, 177, 16, 2, 2], [2, 1, 24, 151, 150, 450, 336, 534, 54, 205, 8, 3, 2], [2, 1, 25, 135, 240, 186, 798, 30, 390, 85, 17, 11, 0], [2, 1, 25, 136, 232, 214, 742, 100, 334, 113, 9, 12, 0], [2, 1, 25, 136, 233, 206, 770, 44, 404, 57, 37, 4, 1], [2, 1, 25, 137, 224, 242, 686, 170, 278, 141, 1, 13, 0], [2, 1, 25, 137, 225, 234, 714, 114, 348, 85, 29, 5, 1], [2, 1, 25, 138, 217, 262, 658, 184, 292, 113, 21, 6, 1], [2, 1, 25, 139, 209, 290, 602, 254, 236, 141, 13, 7, 1], [2, 1, 25, 140, 201, 318, 546, 324, 180, 169, 5, 8, 1], [2, 1, 25, 140, 202, 310, 574, 268, 250, 113, 33, 0, 2], [2, 1, 25, 141, 194, 338, 518, 338, 194, 141, 25, 1, 2], [2, 1, 25, 142, 186, 366, 462, 408, 138, 169, 17, 2, 2], [2, 1, 25, 143, 178, 394, 406, 478, 82, 197, 9, 3, 2], [2, 1, 25, 144, 170, 422, 350, 548, 26, 225, 1, 4, 2], [2, 1, 26, 128, 260, 158, 812, 44, 362, 105, 10, 12, 0], [2, 1, 26, 129, 252, 186, 756, 114, 306, 133, 2, 13, 0], [2, 1, 26, 129, 253, 178, 784, 58, 376, 77, 30, 5, 1], [2, 1, 26, 130, 245, 206, 728, 128, 320, 105, 22, 6, 1], [2, 1, 26, 131, 237, 234, 672, 198, 264, 133, 14, 7, 1], [2, 1, 26, 132, 229, 262, 616, 268, 208, 161, 6, 8, 1], [2, 1, 26, 132, 230, 254, 644, 212, 278, 105, 34, 0, 2], [2, 1, 26, 133, 222, 282, 588, 282, 222, 133, 26, 1, 2], [2, 1, 26, 134, 214, 310, 532, 352, 166, 161, 18, 2, 2], [2, 1, 26, 135, 206, 338, 476, 422, 110, 189, 10, 3, 2], [2, 1, 26, 136, 198, 366, 420, 492, 54, 217, 2, 4, 2], [2, 1, 27, 121, 280, 130, 826, 58, 334, 125, 3, 13, 0], [2, 1, 27, 121, 281, 122, 854, 2, 404, 69, 31, 5, 1], [2, 1, 27, 122, 273, 150, 798, 72, 348, 97, 23, 6, 1], [2, 1, 27, 123, 265, 178, 742, 142, 292, 125, 15, 7, 1], [2, 1, 27, 124, 257, 206, 686, 212, 236, 153, 7, 8, 1], [2, 1, 27, 124, 258, 198, 714, 156, 306, 97, 35, 0, 2], [2, 1, 27, 125, 250, 226, 658, 226, 250, 125, 27, 1, 2], [2, 1, 27, 126, 242, 254, 602, 296, 194, 153, 19, 2, 2], [2, 1, 27, 127, 234, 282, 546, 366, 138, 181, 11, 3, 2], [2, 1, 27, 128, 226, 310, 490, 436, 82, 209, 3, 4, 2], [2, 1, 28, 113, 308, 74, 896, 2, 362, 117, 4, 13, 0], [2, 1, 28, 114, 301, 94, 868, 16, 376, 89, 24, 6, 1], [2, 1, 28, 115, 293, 122, 812, 86, 320, 117, 16, 7, 1], [2, 1, 28, 116, 285, 150, 756, 156, 264, 145, 8, 8, 1], [2, 1, 28, 116, 286, 142, 784, 100, 334, 89, 36, 0, 2], [2, 1, 28, 117, 277, 178, 700, 226, 208, 173, 0, 9, 1], [2, 1, 28, 117, 278, 170, 728, 170, 278, 117, 28, 1, 2], [2, 1, 28, 118, 270, 198, 672, 240, 222, 145, 20, 2, 2], [2, 1, 28, 119, 262, 226, 616, 310, 166, 173, 12, 3, 2], [2, 1, 28, 120, 254, 254, 560, 380, 110, 201, 4, 4, 2], [2, 1, 29, 107, 321, 66, 882, 30, 348, 109, 17, 7, 1], [2, 1, 29, 108, 313, 94, 826, 100, 292, 137, 9, 8, 1], [2, 1, 29, 108, 314, 86, 854, 44, 362, 81, 37, 0, 2], [2, 1, 29, 109, 305, 122, 770, 170, 236, 165, 1, 9, 1], [2, 1, 29, 109, 306, 114, 798, 114, 306, 109, 29, 1, 2], [2, 1, 29, 110, 298, 142, 742, 184, 250, 137, 21, 2, 2], [2, 1, 29, 111, 290, 170, 686, 254, 194, 165, 13, 3, 2], [2, 1, 29, 112, 282, 198, 630, 324, 138, 193, 5, 4, 2], [2, 1, 30, 100, 341, 38, 896, 44, 320, 129, 10, 8, 1], [2, 1, 30, 101, 333, 66, 840, 114, 264, 157, 2, 9, 1], [2, 1, 30, 101, 334, 58, 868, 58, 334, 101, 30, 1, 2], [2, 1, 30, 102, 326, 86, 812, 128, 278, 129, 22, 2, 2], [2, 1, 30, 103, 318, 114, 756, 198, 222, 157, 14, 3, 2], [2, 1, 30, 104, 310, 142, 700, 268, 166, 185, 6, 4, 2], [2, 1, 30, 108, 279, 246, 504, 492, 12, 241, 2, 0, 3], [2, 1, 31, 93, 361, 10, 910, 58, 292, 149, 3, 9, 1], [2, 1, 31, 93, 362, 2, 938, 2, 362, 93, 31, 1, 2], [2, 1, 31, 94, 354, 30, 882, 72, 306, 121, 23, 2, 2], [2, 1, 31, 95, 346, 58, 826, 142, 250, 149, 15, 3, 2], [2, 1, 31, 96, 338, 86, 770, 212, 194, 177, 7, 4, 2], [2, 1, 31, 100, 307, 190, 574, 436, 40, 233, 3, 0, 3], [2, 1, 32, 87, 374, 2, 896, 86, 278, 141, 16, 3, 2], [2, 1, 32, 88, 366, 30, 840, 156, 222, 169, 8, 4, 2], [2, 1, 32, 89, 358, 58, 784, 226, 166, 197, 0, 5, 2], [2, 1, 32, 92, 335, 134, 644, 380, 68, 225, 4, 0, 3], [2, 1, 33, 81, 386, 2, 854, 170, 194, 189, 1, 5, 2], [2, 1, 33, 84, 363, 78, 714, 324, 96, 217, 5, 0, 3], [2, 1, 34, 76, 391, 22, 784, 268, 124, 209, 6, 0, 3], [2, 2, 9, 222, 0, 564, 462, 156, 438, 10, 49, 6, 0], [2, 2, 10, 214, 28, 508, 532, 100, 466, 2, 50, 6, 0], [2, 2, 10, 215, 20, 536, 476, 170, 410, 30, 42, 7, 0], [2, 2, 10, 216, 12, 564, 420, 240, 354, 58, 34, 8, 0], [2, 2, 10, 216, 13, 556, 448, 184, 424, 2, 62, 0, 1], [2, 2, 10, 217, 4, 592, 364, 310, 298, 86, 26, 9, 0], [2, 2, 10, 217, 5, 584, 392, 254, 368, 30, 54, 1, 1], [2, 2, 11, 207, 48, 480, 546, 114, 438, 22, 43, 7, 0], [2, 2, 11, 208, 40, 508, 490, 184, 382, 50, 35, 8, 0], [2, 2, 11, 209, 32, 536, 434, 254, 326, 78, 27, 9, 0], [2, 2, 11, 209, 33, 528, 462, 198, 396, 22, 55, 1, 1], [2, 2, 11, 210, 24, 564, 378, 324, 270, 106, 19, 10, 0], [2, 2, 11, 210, 25, 556, 406, 268, 340, 50, 47, 2, 1], [2, 2, 11, 211, 16, 592, 322, 394, 214, 134, 11, 11, 0], [2, 2, 11, 211, 17, 584, 350, 338, 284, 78, 39, 3, 1], [2, 2, 11, 212, 8, 620, 266, 464, 158, 162, 3, 12, 0], [2, 2, 11, 212, 9, 612, 294, 408, 228, 106, 31, 4, 1], [2, 2, 11, 213, 1, 640, 238, 478, 172, 134, 23, 5, 1], [2, 2, 12, 199, 76, 424, 616, 58, 466, 14, 44, 7, 0], [2, 2, 12, 200, 68, 452, 560, 128, 410, 42, 36, 8, 0], [2, 2, 12, 201, 60, 480, 504, 198, 354, 70, 28, 9, 0], [2, 2, 12, 201, 61, 472, 532, 142, 424, 14, 56, 1, 1], [2, 2, 12, 202, 52, 508, 448, 268, 298, 98, 20, 10, 0], [2, 2, 12, 202, 53, 500, 476, 212, 368, 42, 48, 2, 1], [2, 2, 12, 203, 44, 536, 392, 338, 242, 126, 12, 11, 0], [2, 2, 12, 203, 45, 528, 420, 282, 312, 70, 40, 3, 1], [2, 2, 12, 204, 36, 564, 336, 408, 186, 154, 4, 12, 0], [2, 2, 12, 204, 37, 556, 364, 352, 256, 98, 32, 4, 1], [2, 2, 12, 205, 29, 584, 308, 422, 200, 126, 24, 5, 1], [2, 2, 12, 206, 21, 612, 252, 492, 144, 154, 16, 6, 1], [2, 2, 12, 207, 13, 640, 196, 562, 88, 182, 8, 7, 1], [2, 2, 12, 208, 5, 668, 140, 632, 32, 210, 0, 8, 1], [2, 2, 12, 208, 6, 660, 168, 576, 102, 154, 28, 0, 2], [2, 2, 13, 191, 104, 368, 686, 2, 494, 6, 45, 7, 0], [2, 2, 13, 192, 96, 396, 630, 72, 438, 34, 37, 8, 0], [2, 2, 13, 193, 88, 424, 574, 142, 382, 62, 29, 9, 0], [2, 2, 13, 193, 89, 416, 602, 86, 452, 6, 57, 1, 1], [2, 2, 13, 194, 80, 452, 518, 212, 326, 90, 21, 10, 0], [2, 2, 13, 194, 81, 444, 546, 156, 396, 34, 49, 2, 1], [2, 2, 13, 195, 72, 480, 462, 282, 270, 118, 13, 11, 0], [2, 2, 13, 195, 73, 472, 490, 226, 340, 62, 41, 3, 1], [2, 2, 13, 196, 64, 508, 406, 352, 214, 146, 5, 12, 0], [2, 2, 13, 196, 65, 500, 434, 296, 284, 90, 33, 4, 1], [2, 2, 13, 197, 57, 528, 378, 366, 228, 118, 25, 5, 1], [2, 2, 13, 198, 49, 556, 322, 436, 172, 146, 17, 6, 1], [2, 2, 13, 199, 41, 584, 266, 506, 116, 174, 9, 7, 1], [2, 2, 13, 200, 33, 612, 210, 576, 60, 202, 1, 8, 1], [2, 2, 13, 200, 34, 604, 238, 520, 130, 146, 29, 0, 2], [2, 2, 13, 201, 26, 632, 182, 590, 74, 174, 21, 1, 2], [2, 2, 13, 202, 18, 660, 126, 660, 18, 202, 13, 2, 2], [2, 2, 14, 184, 124, 340, 700, 16, 466, 26, 38, 8, 0], [2, 2, 14, 185, 116, 368, 644, 86, 410, 54, 30, 9, 0], [2, 2, 14, 186, 108, 396, 588, 156, 354, 82, 22, 10, 0], [2, 2, 14, 186, 109, 388, 616, 100, 424, 26, 50, 2, 1], [2, 2, 14, 187, 100, 424, 532, 226, 298, 110, 14, 11, 0], [2, 2, 14, 187, 101, 416, 560, 170, 368, 54, 42, 3, 1], [2, 2, 14, 188, 92, 452, 476, 296, 242, 138, 6, 12, 0], [2, 2, 14, 188, 93, 444, 504, 240, 312, 82, 34, 4, 1], [2, 2, 14, 189, 85, 472, 448, 310, 256, 110, 26, 5, 1], [2, 2, 14, 190, 77, 500, 392, 380, 200, 138, 18, 6, 1], [2, 2, 14, 191, 69, 528, 336, 450, 144, 166, 10, 7, 1], [2, 2, 14, 192, 61, 556, 280, 520, 88, 194, 2, 8, 1], [2, 2, 14, 192, 62, 548, 308, 464, 158, 138, 30, 0, 2], [2, 2, 14, 193, 54, 576, 252, 534, 102, 166, 22, 1, 2], [2, 2, 14, 194, 46, 604, 196, 604, 46, 194, 14, 2, 2], [2, 2, 15, 177, 144, 312, 714, 30, 438, 46, 31, 9, 0], [2, 2, 15, 178, 136, 340, 658, 100, 382, 74, 23, 10, 0], [2, 2, 15, 178, 137, 332, 686, 44, 452, 18, 51, 2, 1], [2, 2, 15, 179, 128, 368, 602, 170, 326, 102, 15, 11, 0], [2, 2, 15, 179, 129, 360, 630, 114, 396, 46, 43, 3, 1], [2, 2, 15, 180, 120, 396, 546, 240, 270, 130, 7, 12, 0], [2, 2, 15, 180, 121, 388, 574, 184, 340, 74, 35, 4, 1], [2, 2, 15, 181, 113, 416, 518, 254, 284, 102, 27, 5, 1], [2, 2, 15, 182, 105, 444, 462, 324, 228, 130, 19, 6, 1], [2, 2, 15, 183, 97, 472, 406, 394, 172, 158, 11, 7, 1], [2, 2, 15, 184, 89, 500, 350, 464, 116, 186, 3, 8, 1], [2, 2, 15, 184, 90, 492, 378, 408, 186, 130, 31, 0, 2], [2, 2, 15, 185, 82, 520, 322, 478, 130, 158, 23, 1, 2], [2, 2, 15, 186, 74, 548, 266, 548, 74, 186, 15, 2, 2], [2, 2, 15, 187, 66, 576, 210, 618, 18, 214, 7, 3, 2], [2, 2, 16, 170, 164, 284, 728, 44, 410, 66, 24, 10, 0], [2, 2, 16, 171, 156, 312, 672, 114, 354, 94, 16, 11, 0], [2, 2, 16, 171, 157, 304, 700, 58, 424, 38, 44, 3, 1], [2, 2, 16, 172, 148, 340, 616, 184, 298, 122, 8, 12, 0], [2, 2, 16, 172, 149, 332, 644, 128, 368, 66, 36, 4, 1], [2, 2, 16, 173, 140, 368, 560, 254, 242, 150, 0, 13, 0], [2, 2, 16, 173, 141, 360, 588, 198, 312, 94, 28, 5, 1], [2, 2, 16, 174, 133, 388, 532, 268, 256, 122, 20, 6, 1], [2, 2, 16, 175, 125, 416, 476, 338, 200, 150, 12, 7, 1], [2, 2, 16, 176, 117, 444, 420, 408, 144, 178, 4, 8, 1], [2, 2, 16, 176, 118, 436, 448, 352, 214, 122, 32, 0, 2], [2, 2, 16, 177, 110, 464, 392, 422, 158, 150, 24, 1, 2], [2, 2, 16, 178, 102, 492, 336, 492, 102, 178, 16, 2, 2], [2, 2, 16, 179, 94, 520, 280, 562, 46, 206, 8, 3, 2], [2, 2, 17, 163, 184, 256, 742, 58, 382, 86, 17, 11, 0], [2, 2, 17, 163, 185, 248, 770, 2, 452, 30, 45, 3, 1], [2, 2, 17, 164, 176, 284, 686, 128, 326, 114, 9, 12, 0], [2, 2, 17, 164, 177, 276, 714, 72, 396, 58, 37, 4, 1], [2, 2, 17, 165, 168, 312, 630, 198, 270, 142, 1, 13, 0], [2, 2, 17, 165, 169, 304, 658, 142, 340, 86, 29, 5, 1], [2, 2, 17, 166, 161, 332, 602, 212, 284, 114, 21, 6, 1], [2, 2, 17, 167, 153, 360, 546, 282, 228, 142, 13, 7, 1], [2, 2, 17, 168, 145, 388, 490, 352, 172, 170, 5, 8, 1], [2, 2, 17, 168, 146, 380, 518, 296, 242, 114, 33, 0, 2], [2, 2, 17, 169, 138, 408, 462, 366, 186, 142, 25, 1, 2], [2, 2, 17, 170, 130, 436, 406, 436, 130, 170, 17, 2, 2], [2, 2, 17, 171, 122, 464, 350, 506, 74, 198, 9, 3, 2], [2, 2, 17, 172, 114, 492, 294, 576, 18, 226, 1, 4, 2], [2, 2, 18, 155, 212, 200, 812, 2, 410, 78, 18, 11, 0], [2, 2, 18, 156, 204, 228, 756, 72, 354, 106, 10, 12, 0], [2, 2, 18, 156, 205, 220, 784, 16, 424, 50, 38, 4, 1], [2, 2, 18, 157, 196, 256, 700, 142, 298, 134, 2, 13, 0], [2, 2, 18, 157, 197, 248, 728, 86, 368, 78, 30, 5, 1], [2, 2, 18, 158, 189, 276, 672, 156, 312, 106, 22, 6, 1], [2, 2, 18, 159, 181, 304, 616, 226, 256, 134, 14, 7, 1], [2, 2, 18, 160, 173, 332, 560, 296, 200, 162, 6, 8, 1], [2, 2, 18, 160, 174, 324, 588, 240, 270, 106, 34, 0, 2], [2, 2, 18, 161, 166, 352, 532, 310, 214, 134, 26, 1, 2], [2, 2, 18, 162, 158, 380, 476, 380, 158, 162, 18, 2, 2], [2, 2, 18, 163, 150, 408, 420, 450, 102, 190, 10, 3, 2], [2, 2, 18, 164, 142, 436, 364, 520, 46, 218, 2, 4, 2], [2, 2, 19, 148, 232, 172, 826, 16, 382, 98, 11, 12, 0], [2, 2, 19, 149, 224, 200, 770, 86, 326, 126, 3, 13, 0], [2, 2, 19, 149, 225, 192, 798, 30, 396, 70, 31, 5, 1], [2, 2, 19, 150, 217, 220, 742, 100, 340, 98, 23, 6, 1], [2, 2, 19, 151, 209, 248, 686, 170, 284, 126, 15, 7, 1], [2, 2, 19, 152, 201, 276, 630, 240, 228, 154, 7, 8, 1], [2, 2, 19, 152, 202, 268, 658, 184, 298, 98, 35, 0, 2], [2, 2, 19, 153, 194, 296, 602, 254, 242, 126, 27, 1, 2], [2, 2, 19, 154, 186, 324, 546, 324, 186, 154, 19, 2, 2], [2, 2, 19, 155, 178, 352, 490, 394, 130, 182, 11, 3, 2], [2, 2, 19, 156, 170, 380, 434, 464, 74, 210, 3, 4, 2], [2, 2, 20, 141, 252, 144, 840, 30, 354, 118, 4, 13, 0], [2, 2, 20, 142, 245, 164, 812, 44, 368, 90, 24, 6, 1], [2, 2, 20, 143, 237, 192, 756, 114, 312, 118, 16, 7, 1], [2, 2, 20, 144, 229, 220, 700, 184, 256, 146, 8, 8, 1], [2, 2, 20, 144, 230, 212, 728, 128, 326, 90, 36, 0, 2], [2, 2, 20, 145, 221, 248, 644, 254, 200, 174, 0, 9, 1], [2, 2, 20, 145, 222, 240, 672, 198, 270, 118, 28, 1, 2], [2, 2, 20, 146, 214, 268, 616, 268, 214, 146, 20, 2, 2], [2, 2, 20, 147, 206, 296, 560, 338, 158, 174, 12, 3, 2], [2, 2, 20, 148, 198, 324, 504, 408, 102, 202, 4, 4, 2], [2, 2, 21, 135, 265, 136, 826, 58, 340, 110, 17, 7, 1], [2, 2, 21, 136, 257, 164, 770, 128, 284, 138, 9, 8, 1], [2, 2, 21, 136, 258, 156, 798, 72, 354, 82, 37, 0, 2], [2, 2, 21, 137, 249, 192, 714, 198, 228, 166, 1, 9, 1], [2, 2, 21, 137, 250, 184, 742, 142, 298, 110, 29, 1, 2], [2, 2, 21, 138, 242, 212, 686, 212, 242, 138, 21, 2, 2], [2, 2, 21, 139, 234, 240, 630, 282, 186, 166, 13, 3, 2], [2, 2, 21, 140, 226, 268, 574, 352, 130, 194, 5, 4, 2], [2, 2, 22, 127, 293, 80, 896, 2, 368, 102, 18, 7, 1], [2, 2, 22, 128, 285, 108, 840, 72, 312, 130, 10, 8, 1], [2, 2, 22, 128, 286, 100, 868, 16, 382, 74, 38, 0, 2], [2, 2, 22, 129, 277, 136, 784, 142, 256, 158, 2, 9, 1], [2, 2, 22, 129, 278, 128, 812, 86, 326, 102, 30, 1, 2], [2, 2, 22, 130, 270, 156, 756, 156, 270, 130, 22, 2, 2], [2, 2, 22, 131, 262, 184, 700, 226, 214, 158, 14, 3, 2], [2, 2, 22, 132, 254, 212, 644, 296, 158, 186, 6, 4, 2], [2, 2, 22, 136, 223, 316, 448, 520, 4, 242, 2, 0, 3], [2, 2, 23, 120, 313, 52, 910, 16, 340, 122, 11, 8, 1], [2, 2, 23, 121, 305, 80, 854, 86, 284, 150, 3, 9, 1], [2, 2, 23, 121, 306, 72, 882, 30, 354, 94, 31, 1, 2], [2, 2, 23, 122, 298, 100, 826, 100, 298, 122, 23, 2, 2], [2, 2, 23, 123, 290, 128, 770, 170, 242, 150, 15, 3, 2], [2, 2, 23, 124, 282, 156, 714, 240, 186, 178, 7, 4, 2], [2, 2, 23, 128, 251, 260, 518, 464, 32, 234, 3, 0, 3], [2, 2, 24, 113, 333, 24, 924, 30, 312, 142, 4, 9, 1], [2, 2, 24, 114, 326, 44, 896, 44, 326, 114, 24, 2, 2], [2, 2, 24, 115, 318, 72, 840, 114, 270, 142, 16, 3, 2], [2, 2, 24, 116, 310, 100, 784, 184, 214, 170, 8, 4, 2], [2, 2, 24, 117, 302, 128, 728, 254, 158, 198, 0, 5, 2], [2, 2, 24, 120, 279, 204, 588, 408, 60, 226, 4, 0, 3], [2, 2, 25, 107, 346, 16, 910, 58, 298, 134, 17, 3, 2], [2, 2, 25, 108, 338, 44, 854, 128, 242, 162, 9, 4, 2], [2, 2, 25, 109, 330, 72, 798, 198, 186, 190, 1, 5, 2], [2, 2, 25, 112, 307, 148, 658, 352, 88, 218, 5, 0, 3], [2, 2, 26, 101, 358, 16, 868, 142, 214, 182, 2, 5, 2], [2, 2, 26, 104, 335, 92, 728, 296, 116, 210, 6, 0, 3], [2, 2, 27, 96, 363, 36, 798, 240, 144, 202, 7, 0, 3], [2, 2, 28, 89, 383, 8, 812, 254, 116, 222, 0, 1, 3], [2, 3, 4, 227, 20, 494, 560, 86, 458, 15, 44, 7, 0], [2, 3, 4, 228, 12, 522, 504, 156, 402, 43, 36, 8, 0], [2, 3, 4, 229, 4, 550, 448, 226, 346, 71, 28, 9, 0], [2, 3, 4, 229, 5, 542, 476, 170, 416, 15, 56, 1, 1], [2, 3, 5, 219, 48, 438, 630, 30, 486, 7, 45, 7, 0], [2, 3, 5, 220, 40, 466, 574, 100, 430, 35, 37, 8, 0], [2, 3, 5, 221, 32, 494, 518, 170, 374, 63, 29, 9, 0], [2, 3, 5, 221, 33, 486, 546, 114, 444, 7, 57, 1, 1], [2, 3, 5, 222, 24, 522, 462, 240, 318, 91, 21, 10, 0], [2, 3, 5, 222, 25, 514, 490, 184, 388, 35, 49, 2, 1], [2, 3, 5, 223, 16, 550, 406, 310, 262, 119, 13, 11, 0], [2, 3, 5, 223, 17, 542, 434, 254, 332, 63, 41, 3, 1], [2, 3, 5, 224, 8, 578, 350, 380, 206, 147, 5, 12, 0], [2, 3, 5, 224, 9, 570, 378, 324, 276, 91, 33, 4, 1], [2, 3, 5, 225, 1, 598, 322, 394, 220, 119, 25, 5, 1], [2, 3, 6, 212, 68, 410, 644, 44, 458, 27, 38, 8, 0], [2, 3, 6, 213, 60, 438, 588, 114, 402, 55, 30, 9, 0], [2, 3, 6, 214, 52, 466, 532, 184, 346, 83, 22, 10, 0], [2, 3, 6, 214, 53, 458, 560, 128, 416, 27, 50, 2, 1], [2, 3, 6, 215, 44, 494, 476, 254, 290, 111, 14, 11, 0], [2, 3, 6, 215, 45, 486, 504, 198, 360, 55, 42, 3, 1], [2, 3, 6, 216, 36, 522, 420, 324, 234, 139, 6, 12, 0], [2, 3, 6, 216, 37, 514, 448, 268, 304, 83, 34, 4, 1], [2, 3, 6, 217, 29, 542, 392, 338, 248, 111, 26, 5, 1], [2, 3, 6, 218, 21, 570, 336, 408, 192, 139, 18, 6, 1], [2, 3, 6, 219, 13, 598, 280, 478, 136, 167, 10, 7, 1], [2, 3, 6, 220, 5, 626, 224, 548, 80, 195, 2, 8, 1], [2, 3, 6, 220, 6, 618, 252, 492, 150, 139, 30, 0, 2], [2, 3, 7, 205, 88, 382, 658, 58, 430, 47, 31, 9, 0], [2, 3, 7, 206, 80, 410, 602, 128, 374, 75, 23, 10, 0], [2, 3, 7, 206, 81, 402, 630, 72, 444, 19, 51, 2, 1], [2, 3, 7, 207, 72, 438, 546, 198, 318, 103, 15, 11, 0], [2, 3, 7, 207, 73, 430, 574, 142, 388, 47, 43, 3, 1], [2, 3, 7, 208, 64, 466, 490, 268, 262, 131, 7, 12, 0], [2, 3, 7, 208, 65, 458, 518, 212, 332, 75, 35, 4, 1], [2, 3, 7, 209, 57, 486, 462, 282, 276, 103, 27, 5, 1], [2, 3, 7, 210, 49, 514, 406, 352, 220, 131, 19, 6, 1], [2, 3, 7, 211, 41, 542, 350, 422, 164, 159, 11, 7, 1], [2, 3, 7, 212, 33, 570, 294, 492, 108, 187, 3, 8, 1], [2, 3, 7, 212, 34, 562, 322, 436, 178, 131, 31, 0, 2], [2, 3, 7, 213, 26, 590, 266, 506, 122, 159, 23, 1, 2], [2, 3, 7, 214, 18, 618, 210, 576, 66, 187, 15, 2, 2], [2, 3, 7, 215, 10, 646, 154, 646, 10, 215, 7, 3, 2], [2, 3, 8, 197, 116, 326, 728, 2, 458, 39, 32, 9, 0], [2, 3, 8, 198, 108, 354, 672, 72, 402, 67, 24, 10, 0], [2, 3, 8, 198, 109, 346, 700, 16, 472, 11, 52, 2, 1], [2, 3, 8, 199, 100, 382, 616, 142, 346, 95, 16, 11, 0], [2, 3, 8, 199, 101, 374, 644, 86, 416, 39, 44, 3, 1], [2, 3, 8, 200, 92, 410, 560, 212, 290, 123, 8, 12, 0], [2, 3, 8, 200, 93, 402, 588, 156, 360, 67, 36, 4, 1], [2, 3, 8, 201, 84, 438, 504, 282, 234, 151, 0, 13, 0], [2, 3, 8, 201, 85, 430, 532, 226, 304, 95, 28, 5, 1], [2, 3, 8, 202, 77, 458, 476, 296, 248, 123, 20, 6, 1], [2, 3, 8, 203, 69, 486, 420, 366, 192, 151, 12, 7, 1], [2, 3, 8, 204, 61, 514, 364, 436, 136, 179, 4, 8, 1], [2, 3, 8, 204, 62, 506, 392, 380, 206, 123, 32, 0, 2], [2, 3, 8, 205, 54, 534, 336, 450, 150, 151, 24, 1, 2], [2, 3, 8, 206, 46, 562, 280, 520, 94, 179, 16, 2, 2], [2, 3, 8, 207, 38, 590, 224, 590, 38, 207, 8, 3, 2], [2, 3, 9, 190, 136, 298, 742, 16, 430, 59, 25, 10, 0], [2, 3, 9, 191, 128, 326, 686, 86, 374, 87, 17, 11, 0], [2, 3, 9, 191, 129, 318, 714, 30, 444, 31, 45, 3, 1], [2, 3, 9, 192, 120, 354, 630, 156, 318, 115, 9, 12, 0], [2, 3, 9, 192, 121, 346, 658, 100, 388, 59, 37, 4, 1], [2, 3, 9, 193, 112, 382, 574, 226, 262, 143, 1, 13, 0], [2, 3, 9, 193, 113, 374, 602, 170, 332, 87, 29, 5, 1], [2, 3, 9, 194, 105, 402, 546, 240, 276, 115, 21, 6, 1], [2, 3, 9, 195, 97, 430, 490, 310, 220, 143, 13, 7, 1], [2, 3, 9, 196, 89, 458, 434, 380, 164, 171, 5, 8, 1], [2, 3, 9, 196, 90, 450, 462, 324, 234, 115, 33, 0, 2], [2, 3, 9, 197, 82, 478, 406, 394, 178, 143, 25, 1, 2], [2, 3, 9, 198, 74, 506, 350, 464, 122, 171, 17, 2, 2], [2, 3, 9, 199, 66, 534, 294, 534, 66, 199, 9, 3, 2], [2, 3, 9, 200, 58, 562, 238, 604, 10, 227, 1, 4, 2], [2, 3, 10, 183, 156, 270, 756, 30, 402, 79, 18, 11, 0], [2, 3, 10, 184, 148, 298, 700, 100, 346, 107, 10, 12, 0], [2, 3, 10, 184, 149, 290, 728, 44, 416, 51, 38, 4, 1], [2, 3, 10, 185, 140, 326, 644, 170, 290, 135, 2, 13, 0], [2, 3, 10, 185, 141, 318, 672, 114, 360, 79, 30, 5, 1], [2, 3, 10, 186, 133, 346, 616, 184, 304, 107, 22, 6, 1], [2, 3, 10, 187, 125, 374, 560, 254, 248, 135, 14, 7, 1], [2, 3, 10, 188, 117, 402, 504, 324, 192, 163, 6, 8, 1], [2, 3, 10, 188, 118, 394, 532, 268, 262, 107, 34, 0, 2], [2, 3, 10, 189, 110, 422, 476, 338, 206, 135, 26, 1, 2], [2, 3, 10, 190, 102, 450, 420, 408, 150, 163, 18, 2, 2], [2, 3, 10, 191, 94, 478, 364, 478, 94, 191, 10, 3, 2], [2, 3, 10, 192, 86, 506, 308, 548, 38, 219, 2, 4, 2], [2, 3, 11, 176, 176, 242, 770, 44, 374, 99, 11, 12, 0], [2, 3, 11, 177, 168, 270, 714, 114, 318, 127, 3, 13, 0], [2, 3, 11, 177, 169, 262, 742, 58, 388, 71, 31, 5, 1], [2, 3, 11, 178, 161, 290, 686, 128, 332, 99, 23, 6, 1], [2, 3, 11, 179, 153, 318, 630, 198, 276, 127, 15, 7, 1], [2, 3, 11, 180, 145, 346, 574, 268, 220, 155, 7, 8, 1], [2, 3, 11, 180, 146, 338, 602, 212, 290, 99, 35, 0, 2], [2, 3, 11, 181, 138, 366, 546, 282, 234, 127, 27, 1, 2], [2, 3, 11, 182, 130, 394, 490, 352, 178, 155, 19, 2, 2], [2, 3, 11, 183, 122, 422, 434, 422, 122, 183, 11, 3, 2], [2, 3, 11, 184, 114, 450, 378, 492, 66, 211, 3, 4, 2], [2, 3, 12, 169, 196, 214, 784, 58, 346, 119, 4, 13, 0], [2, 3, 12, 169, 197, 206, 812, 2, 416, 63, 32, 5, 1], [2, 3, 12, 170, 189, 234, 756, 72, 360, 91, 24, 6, 1], [2, 3, 12, 171, 181, 262, 700, 142, 304, 119, 16, 7, 1], [2, 3, 12, 172, 173, 290, 644, 212, 248, 147, 8, 8, 1], [2, 3, 12, 172, 174, 282, 672, 156, 318, 91, 36, 0, 2], [2, 3, 12, 173, 165, 318, 588, 282, 192, 175, 0, 9, 1], [2, 3, 12, 173, 166, 310, 616, 226, 262, 119, 28, 1, 2], [2, 3, 12, 174, 158, 338, 560, 296, 206, 147, 20, 2, 2], [2, 3, 12, 175, 150, 366, 504, 366, 150, 175, 12, 3, 2], [2, 3, 12, 176, 142, 394, 448, 436, 94, 203, 4, 4, 2], [2, 3, 13, 161, 224, 158, 854, 2, 374, 111, 5, 13, 0], [2, 3, 13, 162, 217, 178, 826, 16, 388, 83, 25, 6, 1], [2, 3, 13, 163, 209, 206, 770, 86, 332, 111, 17, 7, 1], [2, 3, 13, 164, 201, 234, 714, 156, 276, 139, 9, 8, 1], [2, 3, 13, 164, 202, 226, 742, 100, 346, 83, 37, 0, 2], [2, 3, 13, 165, 193, 262, 658, 226, 220, 167, 1, 9, 1], [2, 3, 13, 165, 194, 254, 686, 170, 290, 111, 29, 1, 2], [2, 3, 13, 166, 186, 282, 630, 240, 234, 139, 21, 2, 2], [2, 3, 13, 167, 178, 310, 574, 310, 178, 167, 13, 3, 2], [2, 3, 13, 168, 170, 338, 518, 380, 122, 195, 5, 4, 2], [2, 3, 14, 155, 237, 150, 840, 30, 360, 103, 18, 7, 1], [2, 3, 14, 156, 229, 178, 784, 100, 304, 131, 10, 8, 1], [2, 3, 14, 156, 230, 170, 812, 44, 374, 75, 38, 0, 2], [2, 3, 14, 157, 221, 206, 728, 170, 248, 159, 2, 9, 1], [2, 3, 14, 157, 222, 198, 756, 114, 318, 103, 30, 1, 2], [2, 3, 14, 158, 214, 226, 700, 184, 262, 131, 22, 2, 2], [2, 3, 14, 159, 206, 254, 644, 254, 206, 159, 14, 3, 2], [2, 3, 14, 160, 198, 282, 588, 324, 150, 187, 6, 4, 2], [2, 3, 15, 148, 257, 122, 854, 44, 332, 123, 11, 8, 1], [2, 3, 15, 149, 249, 150, 798, 114, 276, 151, 3, 9, 1], [2, 3, 15, 149, 250, 142, 826, 58, 346, 95, 31, 1, 2], [2, 3, 15, 150, 242, 170, 770, 128, 290, 123, 23, 2, 2], [2, 3, 15, 151, 234, 198, 714, 198, 234, 151, 15, 3, 2], [2, 3, 15, 152, 226, 226, 658, 268, 178, 179, 7, 4, 2], [2, 3, 15, 156, 195, 330, 462, 492, 24, 235, 3, 0, 3], [2, 3, 16, 141, 277, 94, 868, 58, 304, 143, 4, 9, 1], [2, 3, 16, 141, 278, 86, 896, 2, 374, 87, 32, 1, 2], [2, 3, 16, 142, 270, 114, 840, 72, 318, 115, 24, 2, 2], [2, 3, 16, 143, 262, 142, 784, 142, 262, 143, 16, 3, 2], [2, 3, 16, 144, 254, 170, 728, 212, 206, 171, 8, 4, 2], [2, 3, 16, 145, 246, 198, 672, 282, 150, 199, 0, 5, 2], [2, 3, 16, 148, 223, 274, 532, 436, 52, 227, 4, 0, 3], [2, 3, 17, 133, 305, 38, 938, 2, 332, 135, 5, 9, 1], [2, 3, 17, 134, 298, 58, 910, 16, 346, 107, 25, 2, 2], [2, 3, 17, 135, 290, 86, 854, 86, 290, 135, 17, 3, 2], [2, 3, 17, 136, 282, 114, 798, 156, 234, 163, 9, 4, 2], [2, 3, 17, 137, 274, 142, 742, 226, 178, 191, 1, 5, 2], [2, 3, 17, 140, 251, 218, 602, 380, 80, 219, 5, 0, 3], [2, 3, 18, 127, 318, 30, 924, 30, 318, 127, 18, 3, 2], [2, 3, 18, 128, 310, 58, 868, 100, 262, 155, 10, 4, 2], [2, 3, 18, 129, 302, 86, 812, 170, 206, 183, 2, 5, 2], [2, 3, 18, 132, 279, 162, 672, 324, 108, 211, 6, 0, 3], [2, 3, 19, 120, 338, 2, 938, 44, 290, 147, 11, 4, 2], [2, 3, 19, 121, 330, 30, 882, 114, 234, 175, 3, 5, 2], [2, 3, 19, 124, 307, 106, 742, 268, 136, 203, 7, 0, 3], [2, 3, 20, 116, 335, 50, 812, 212, 164, 195, 8, 0, 3], [2, 3, 20, 117, 327, 78, 756, 282, 108, 223, 0, 1, 3], [2, 3, 21, 109, 355, 22, 826, 226, 136, 215, 1, 1, 3], [2, 4, 0, 225, 60, 396, 672, 30, 450, 40, 32, 9, 0], [2, 4, 0, 226, 52, 424, 616, 100, 394, 68, 24, 10, 0], [2, 4, 0, 226, 53, 416, 644, 44, 464, 12, 52, 2, 1], [2, 4, 0, 227, 44, 452, 560, 170, 338, 96, 16, 11, 0], [2, 4, 0, 227, 45, 444, 588, 114, 408, 40, 44, 3, 1], [2, 4, 0, 228, 36, 480, 504, 240, 282, 124, 8, 12, 0], [2, 4, 0, 228, 37, 472, 532, 184, 352, 68, 36, 4, 1], [2, 4, 0, 229, 28, 508, 448, 310, 226, 152, 0, 13, 0], [2, 4, 0, 229, 29, 500, 476, 254, 296, 96, 28, 5, 1], [2, 4, 0, 230, 21, 528, 420, 324, 240, 124, 20, 6, 1], [2, 4, 0, 231, 13, 556, 364, 394, 184, 152, 12, 7, 1], [2, 4, 0, 232, 5, 584, 308, 464, 128, 180, 4, 8, 1], [2, 4, 0, 232, 6, 576, 336, 408, 198, 124, 32, 0, 2], [2, 4, 1, 218, 80, 368, 686, 44, 422, 60, 25, 10, 0], [2, 4, 1, 219, 72, 396, 630, 114, 366, 88, 17, 11, 0], [2, 4, 1, 219, 73, 388, 658, 58, 436, 32, 45, 3, 1], [2, 4, 1, 220, 64, 424, 574, 184, 310, 116, 9, 12, 0], [2, 4, 1, 220, 65, 416, 602, 128, 380, 60, 37, 4, 1], [2, 4, 1, 221, 56, 452, 518, 254, 254, 144, 1, 13, 0], [2, 4, 1, 221, 57, 444, 546, 198, 324, 88, 29, 5, 1], [2, 4, 1, 222, 49, 472, 490, 268, 268, 116, 21, 6, 1], [2, 4, 1, 223, 41, 500, 434, 338, 212, 144, 13, 7, 1], [2, 4, 1, 224, 33, 528, 378, 408, 156, 172, 5, 8, 1], [2, 4, 1, 224, 34, 520, 406, 352, 226, 116, 33, 0, 2], [2, 4, 1, 225, 26, 548, 350, 422, 170, 144, 25, 1, 2], [2, 4, 1, 226, 18, 576, 294, 492, 114, 172, 17, 2, 2], [2, 4, 1, 227, 10, 604, 238, 562, 58, 200, 9, 3, 2], [2, 4, 1, 228, 2, 632, 182, 632, 2, 228, 1, 4, 2], [2, 4, 2, 211, 100, 340, 700, 58, 394, 80, 18, 11, 0], [2, 4, 2, 211, 101, 332, 728, 2, 464, 24, 46, 3, 1], [2, 4, 2, 212, 92, 368, 644, 128, 338, 108, 10, 12, 0], [2, 4, 2, 212, 93, 360, 672, 72, 408, 52, 38, 4, 1], [2, 4, 2, 213, 84, 396, 588, 198, 282, 136, 2, 13, 0], [2, 4, 2, 213, 85, 388, 616, 142, 352, 80, 30, 5, 1], [2, 4, 2, 214, 77, 416, 560, 212, 296, 108, 22, 6, 1], [2, 4, 2, 215, 69, 444, 504, 282, 240, 136, 14, 7, 1], [2, 4, 2, 216, 61, 472, 448, 352, 184, 164, 6, 8, 1], [2, 4, 2, 216, 62, 464, 476, 296, 254, 108, 34, 0, 2], [2, 4, 2, 217, 54, 492, 420, 366, 198, 136, 26, 1, 2], [2, 4, 2, 218, 46, 520, 364, 436, 142, 164, 18, 2, 2], [2, 4, 2, 219, 38, 548, 308, 506, 86, 192, 10, 3, 2], [2, 4, 2, 220, 30, 576, 252, 576, 30, 220, 2, 4, 2], [2, 4, 3, 203, 128, 284, 770, 2, 422, 72, 19, 11, 0], [2, 4, 3, 204, 120, 312, 714, 72, 366, 100, 11, 12, 0], [2, 4, 3, 204, 121, 304, 742, 16, 436, 44, 39, 4, 1], [2, 4, 3, 205, 112, 340, 658, 142, 310, 128, 3, 13, 0], [2, 4, 3, 205, 113, 332, 686, 86, 380, 72, 31, 5, 1], [2, 4, 3, 206, 105, 360, 630, 156, 324, 100, 23, 6, 1], [2, 4, 3, 207, 97, 388, 574, 226, 268, 128, 15, 7, 1], [2, 4, 3, 208, 89, 416, 518, 296, 212, 156, 7, 8, 1], [2, 4, 3, 208, 90, 408, 546, 240, 282, 100, 35, 0, 2], [2, 4, 3, 209, 82, 436, 490, 310, 226, 128, 27, 1, 2], [2, 4, 3, 210, 74, 464, 434, 380, 170, 156, 19, 2, 2], [2, 4, 3, 211, 66, 492, 378, 450, 114, 184, 11, 3, 2], [2, 4, 3, 212, 58, 520, 322, 520, 58, 212, 3, 4, 2], [2, 4, 4, 196, 148, 256, 784, 16, 394, 92, 12, 12, 0], [2, 4, 4, 197, 140, 284, 728, 86, 338, 120, 4, 13, 0], [2, 4, 4, 197, 141, 276, 756, 30, 408, 64, 32, 5, 1], [2, 4, 4, 198, 133, 304, 700, 100, 352, 92, 24, 6, 1], [2, 4, 4, 199, 125, 332, 644, 170, 296, 120, 16, 7, 1], [2, 4, 4, 200, 117, 360, 588, 240, 240, 148, 8, 8, 1], [2, 4, 4, 200, 118, 352, 616, 184, 310, 92, 36, 0, 2], [2, 4, 4, 201, 109, 388, 532, 310, 184, 176, 0, 9, 1], [2, 4, 4, 201, 110, 380, 560, 254, 254, 120, 28, 1, 2], [2, 4, 4, 202, 102, 408, 504, 324, 198, 148, 20, 2, 2], [2, 4, 4, 203, 94, 436, 448, 394, 142, 176, 12, 3, 2], [2, 4, 4, 204, 86, 464, 392, 464, 86, 204, 4, 4, 2], [2, 4, 5, 189, 168, 228, 798, 30, 366, 112, 5, 13, 0], [2, 4, 5, 190, 161, 248, 770, 44, 380, 84, 25, 6, 1], [2, 4, 5, 191, 153, 276, 714, 114, 324, 112, 17, 7, 1], [2, 4, 5, 192, 145, 304, 658, 184, 268, 140, 9, 8, 1], [2, 4, 5, 192, 146, 296, 686, 128, 338, 84, 37, 0, 2], [2, 4, 5, 193, 137, 332, 602, 254, 212, 168, 1, 9, 1], [2, 4, 5, 193, 138, 324, 630, 198, 282, 112, 29, 1, 2], [2, 4, 5, 194, 130, 352, 574, 268, 226, 140, 21, 2, 2], [2, 4, 5, 195, 122, 380, 518, 338, 170, 168, 13, 3, 2], [2, 4, 5, 196, 114, 408, 462, 408, 114, 196, 5, 4, 2], [2, 4, 6, 183, 181, 220, 784, 58, 352, 104, 18, 7, 1], [2, 4, 6, 184, 173, 248, 728, 128, 296, 132, 10, 8, 1], [2, 4, 6, 184, 174, 240, 756, 72, 366, 76, 38, 0, 2], [2, 4, 6, 185, 165, 276, 672, 198, 240, 160, 2, 9, 1], [2, 4, 6, 185, 166, 268, 700, 142, 310, 104, 30, 1, 2], [2, 4, 6, 186, 158, 296, 644, 212, 254, 132, 22, 2, 2], [2, 4, 6, 187, 150, 324, 588, 282, 198, 160, 14, 3, 2], [2, 4, 6, 188, 142, 352, 532, 352, 142, 188, 6, 4, 2], [2, 4, 7, 175, 209, 164, 854, 2, 380, 96, 19, 7, 1], [2, 4, 7, 176, 201, 192, 798, 72, 324, 124, 11, 8, 1], [2, 4, 7, 176, 202, 184, 826, 16, 394, 68, 39, 0, 2], [2, 4, 7, 177, 193, 220, 742, 142, 268, 152, 3, 9, 1], [2, 4, 7, 177, 194, 212, 770, 86, 338, 96, 31, 1, 2], [2, 4, 7, 178, 186, 240, 714, 156, 282, 124, 23, 2, 2], [2, 4, 7, 179, 178, 268, 658, 226, 226, 152, 15, 3, 2], [2, 4, 7, 180, 170, 296, 602, 296, 170, 180, 7, 4, 2], [2, 4, 7, 184, 139, 400, 406, 520, 16, 236, 3, 0, 3], [2, 4, 8, 168, 229, 136, 868, 16, 352, 116, 12, 8, 1], [2, 4, 8, 169, 221, 164, 812, 86, 296, 144, 4, 9, 1], [2, 4, 8, 169, 222, 156, 840, 30, 366, 88, 32, 1, 2], [2, 4, 8, 170, 214, 184, 784, 100, 310, 116, 24, 2, 2], [2, 4, 8, 171, 206, 212, 728, 170, 254, 144, 16, 3, 2], [2, 4, 8, 172, 198, 240, 672, 240, 198, 172, 8, 4, 2], [2, 4, 8, 173, 190, 268, 616, 310, 142, 200, 0, 5, 2], [2, 4, 8, 176, 167, 344, 476, 464, 44, 228, 4, 0, 3], [2, 4, 9, 161, 249, 108, 882, 30, 324, 136, 5, 9, 1], [2, 4, 9, 162, 242, 128, 854, 44, 338, 108, 25, 2, 2], [2, 4, 9, 163, 234, 156, 798, 114, 282, 136, 17, 3, 2], [2, 4, 9, 164, 226, 184, 742, 184, 226, 164, 9, 4, 2], [2, 4, 9, 165, 218, 212, 686, 254, 170, 192, 1, 5, 2], [2, 4, 9, 168, 195, 288, 546, 408, 72, 220, 5, 0, 3], [2, 4, 10, 155, 262, 100, 868, 58, 310, 128, 18, 3, 2], [2, 4, 10, 156, 254, 128, 812, 128, 254, 156, 10, 4, 2], [2, 4, 10, 157, 246, 156, 756, 198, 198, 184, 2, 5, 2], [2, 4, 10, 160, 223, 232, 616, 352, 100, 212, 6, 0, 3], [2, 4, 11, 147, 290, 44, 938, 2, 338, 120, 19, 3, 2], [2, 4, 11, 148, 282, 72, 882, 72, 282, 148, 11, 4, 2], [2, 4, 11, 149, 274, 100, 826, 142, 226, 176, 3, 5, 2], [2, 4, 11, 152, 251, 176, 686, 296, 128, 204, 7, 0, 3], [2, 4, 12, 140, 310, 16, 952, 16, 310, 140, 12, 4, 2], [2, 4, 12, 141, 302, 44, 896, 86, 254, 168, 4, 5, 2], [2, 4, 12, 144, 279, 120, 756, 240, 156, 196, 8, 0, 3], [2, 4, 12, 145, 271, 148, 700, 310, 100, 224, 0, 1, 3], [2, 4, 13, 136, 307, 64, 826, 184, 184, 188, 9, 0, 3], [2, 4, 13, 137, 299, 92, 770, 254, 128, 216, 1, 1, 3], [2, 4, 14, 128, 335, 8, 896, 128, 212, 180, 10, 0, 3], [2, 4, 14, 129, 327, 36, 840, 198, 156, 208, 2, 1, 3], [2, 5, 0, 196, 173, 206, 812, 44, 344, 117, 12, 8, 1], [2, 5, 0, 197, 165, 234, 756, 114, 288, 145, 4, 9, 1], [2, 5, 0, 197, 166, 226, 784, 58, 358, 89, 32, 1, 2], [2, 5, 0, 198, 158, 254, 728, 128, 302, 117, 24, 2, 2], [2, 5, 0, 199, 150, 282, 672, 198, 246, 145, 16, 3, 2], [2, 5, 0, 200, 142, 310, 616, 268, 190, 173, 8, 4, 2], [2, 5, 0, 201, 134, 338, 560, 338, 134, 201, 0, 5, 2], [2, 5, 0, 204, 111, 414, 420, 492, 36, 229, 4, 0, 3], [2, 5, 1, 189, 193, 178, 826, 58, 316, 137, 5, 9, 1], [2, 5, 1, 189, 194, 170, 854, 2, 386, 81, 33, 1, 2], [2, 5, 1, 190, 186, 198, 798, 72, 330, 109, 25, 2, 2], [2, 5, 1, 191, 178, 226, 742, 142, 274, 137, 17, 3, 2], [2, 5, 1, 192, 170, 254, 686, 212, 218, 165, 9, 4, 2], [2, 5, 1, 193, 162, 282, 630, 282, 162, 193, 1, 5, 2], [2, 5, 1, 196, 139, 358, 490, 436, 64, 221, 5, 0, 3], [2, 5, 2, 181, 221, 122, 896, 2, 344, 129, 6, 9, 1], [2, 5, 2, 182, 214, 142, 868, 16, 358, 101, 26, 2, 2], [2, 5, 2, 183, 206, 170, 812, 86, 302, 129, 18, 3, 2], [2, 5, 2, 184, 198, 198, 756, 156, 246, 157, 10, 4, 2], [2, 5, 2, 185, 190, 226, 700, 226, 190, 185, 2, 5, 2], [2, 5, 2, 188, 167, 302, 560, 380, 92, 213, 6, 0, 3], [2, 5, 3, 175, 234, 114, 882, 30, 330, 121, 19, 3, 2], [2, 5, 3, 176, 226, 142, 826, 100, 274, 149, 11, 4, 2], [2, 5, 3, 177, 218, 170, 770, 170, 218, 177, 3, 5, 2], [2, 5, 3, 180, 195, 246, 630, 324, 120, 205, 7, 0, 3], [2, 5, 4, 168, 254, 86, 896, 44, 302, 141, 12, 4, 2], [2, 5, 4, 169, 246, 114, 840, 114, 246, 169, 4, 5, 2], [2, 5, 4, 172, 223, 190, 700, 268, 148, 197, 8, 0, 3], [2, 5, 4, 173, 215, 218, 644, 338, 92, 225, 0, 1, 3], [2, 5, 5, 161, 274, 58, 910, 58, 274, 161, 5, 5, 2], [2, 5, 5, 164, 251, 134, 770, 212, 176, 189, 9, 0, 3], [2, 5, 5, 165, 243, 162, 714, 282, 120, 217, 1, 1, 3], [2, 5, 6, 153, 302, 2, 980, 2, 302, 153, 6, 5, 2], [2, 5, 6, 156, 279, 78, 840, 156, 204, 181, 10, 0, 3], [2, 5, 6, 157, 271, 106, 784, 226, 148, 209, 2, 1, 3], [2, 5, 7, 148, 307, 22, 910, 100, 232, 173, 11, 0, 3], [2, 5, 7, 149, 299, 50, 854, 170, 176, 201, 3, 1, 3], [2, 6, 0, 168, 279, 36, 924, 72, 252, 166, 12, 0, 3], [2, 6, 0, 169, 271, 64, 868, 142, 196, 194, 4, 1, 3], [2, 6, 1, 161, 299, 8, 938, 86, 224, 186, 5, 1, 3], [3, 0, 0, 251, 2, 452, 644, 50, 419, 68, 20, 11, 0], [3, 0, 1, 244, 22, 424, 658, 64, 391, 88, 13, 12, 0], [3, 0, 1, 244, 23, 416, 686, 8, 461, 32, 41, 4, 1], [3, 0, 1, 245, 14, 452, 602, 134, 335, 116, 5, 13, 0], [3, 0, 1, 245, 15, 444, 630, 78, 405, 60, 33, 5, 1], [3, 0, 1, 246, 7, 472, 574, 148, 349, 88, 25, 6, 1], [3, 0, 2, 236, 50, 368, 728, 8, 419, 80, 14, 12, 0], [3, 0, 2, 237, 42, 396, 672, 78, 363, 108, 6, 13, 0], [3, 0, 2, 237, 43, 388, 700, 22, 433, 52, 34, 5, 1], [3, 0, 2, 238, 35, 416, 644, 92, 377, 80, 26, 6, 1], [3, 0, 2, 239, 27, 444, 588, 162, 321, 108, 18, 7, 1], [3, 0, 2, 240, 19, 472, 532, 232, 265, 136, 10, 8, 1], [3, 0, 2, 240, 20, 464, 560, 176, 335, 80, 38, 0, 2], [3, 0, 2, 241, 11, 500, 476, 302, 209, 164, 2, 9, 1], [3, 0, 2, 241, 12, 492, 504, 246, 279, 108, 30, 1, 2], [3, 0, 2, 242, 4, 520, 448, 316, 223, 136, 22, 2, 2], [3, 0, 3, 229, 70, 340, 742, 22, 391, 100, 7, 13, 0], [3, 0, 3, 230, 63, 360, 714, 36, 405, 72, 27, 6, 1], [3, 0, 3, 231, 55, 388, 658, 106, 349, 100, 19, 7, 1], [3, 0, 3, 232, 47, 416, 602, 176, 293, 128, 11, 8, 1], [3, 0, 3, 232, 48, 408, 630, 120, 363, 72, 39, 0, 2], [3, 0, 3, 233, 39, 444, 546, 246, 237, 156, 3, 9, 1], [3, 0, 3, 233, 40, 436, 574, 190, 307, 100, 31, 1, 2], [3, 0, 3, 234, 32, 464, 518, 260, 251, 128, 23, 2, 2], [3, 0, 3, 235, 24, 492, 462, 330, 195, 156, 15, 3, 2], [3, 0, 3, 236, 16, 520, 406, 400, 139, 184, 7, 4, 2], [3, 0, 4, 222, 90, 312, 756, 36, 363, 120, 0, 14, 0], [3, 0, 4, 223, 83, 332, 728, 50, 377, 92, 20, 7, 1], [3, 0, 4, 224, 75, 360, 672, 120, 321, 120, 12, 8, 1], [3, 0, 4, 224, 76, 352, 700, 64, 391, 64, 40, 0, 2], [3, 0, 4, 225, 67, 388, 616, 190, 265, 148, 4, 9, 1], [3, 0, 4, 225, 68, 380, 644, 134, 335, 92, 32, 1, 2], [3, 0, 4, 226, 60, 408, 588, 204, 279, 120, 24, 2, 2], [3, 0, 4, 227, 52, 436, 532, 274, 223, 148, 16, 3, 2], [3, 0, 4, 228, 44, 464, 476, 344, 167, 176, 8, 4, 2], [3, 0, 4, 229, 36, 492, 420, 414, 111, 204, 0, 5, 2], [3, 0, 4, 232, 13, 568, 280, 568, 13, 232, 4, 0, 3], [3, 0, 5, 216, 103, 304, 742, 64, 349, 112, 13, 8, 1], [3, 0, 5, 216, 104, 296, 770, 8, 419, 56, 41, 0, 2], [3, 0, 5, 217, 95, 332, 686, 134, 293, 140, 5, 9, 1], [3, 0, 5, 217, 96, 324, 714, 78, 363, 84, 33, 1, 2], [3, 0, 5, 218, 88, 352, 658, 148, 307, 112, 25, 2, 2], [3, 0, 5, 219, 80, 380, 602, 218, 251, 140, 17, 3, 2], [3, 0, 5, 220, 72, 408, 546, 288, 195, 168, 9, 4, 2], [3, 0, 5, 221, 64, 436, 490, 358, 139, 196, 1, 5, 2], [3, 0, 5, 224, 41, 512, 350, 512, 41, 224, 5, 0, 3], [3, 0, 6, 208, 131, 248, 812, 8, 377, 104, 14, 8, 1], [3, 0, 6, 209, 123, 276, 756, 78, 321, 132, 6, 9, 1], [3, 0, 6, 209, 124, 268, 784, 22, 391, 76, 34, 1, 2], [3, 0, 6, 210, 116, 296, 728, 92, 335, 104, 26, 2, 2], [3, 0, 6, 211, 108, 324, 672, 162, 279, 132, 18, 3, 2], [3, 0, 6, 212, 100, 352, 616, 232, 223, 160, 10, 4, 2], [3, 0, 6, 213, 92, 380, 560, 302, 167, 188, 2, 5, 2], [3, 0, 6, 216, 69, 456, 420, 456, 69, 216, 6, 0, 3], [3, 0, 7, 201, 151, 220, 826, 22, 349, 124, 7, 9, 1], [3, 0, 7, 202, 144, 240, 798, 36, 363, 96, 27, 2, 2], [3, 0, 7, 203, 136, 268, 742, 106, 307, 124, 19, 3, 2], [3, 0, 7, 204, 128, 296, 686, 176, 251, 152, 11, 4, 2], [3, 0, 7, 205, 120, 324, 630, 246, 195, 180, 3, 5, 2], [3, 0, 7, 208, 97, 400, 490, 400, 97, 208, 7, 0, 3], [3, 0, 8, 194, 171, 192, 840, 36, 321, 144, 0, 10, 1], [3, 0, 8, 195, 164, 212, 812, 50, 335, 116, 20, 3, 2], [3, 0, 8, 196, 156, 240, 756, 120, 279, 144, 12, 4, 2], [3, 0, 8, 197, 148, 268, 700, 190, 223, 172, 4, 5, 2], [3, 0, 8, 200, 125, 344, 560, 344, 125, 200, 8, 0, 3], [3, 0, 8, 201, 117, 372, 504, 414, 69, 228, 0, 1, 3], [3, 0, 9, 188, 184, 184, 826, 64, 307, 136, 13, 4, 2], [3, 0, 9, 189, 176, 212, 770, 134, 251, 164, 5, 5, 2], [3, 0, 9, 192, 153, 288, 630, 288, 153, 192, 9, 0, 3], [3, 0, 9, 193, 145, 316, 574, 358, 97, 220, 1, 1, 3], [3, 0, 10, 180, 212, 128, 896, 8, 335, 128, 14, 4, 2], [3, 0, 10, 181, 204, 156, 840, 78, 279, 156, 6, 5, 2], [3, 0, 10, 184, 181, 232, 700, 232, 181, 184, 10, 0, 3], [3, 0, 10, 185, 173, 260, 644, 302, 125, 212, 2, 1, 3], [3, 0, 11, 173, 232, 100, 910, 22, 307, 148, 7, 5, 2], [3, 0, 11, 176, 209, 176, 770, 176, 209, 176, 11, 0, 3], [3, 0, 11, 177, 201, 204, 714, 246, 153, 204, 3, 1, 3], [3, 0, 12, 166, 252, 72, 924, 36, 279, 168, 0, 6, 2], [3, 0, 12, 168, 237, 120, 840, 120, 237, 168, 12, 0, 3], [3, 0, 12, 169, 229, 148, 784, 190, 181, 196, 4, 1, 3], [3, 0, 13, 160, 265, 64, 910, 64, 265, 160, 13, 0, 3], [3, 0, 13, 161, 257, 92, 854, 134, 209, 188, 5, 1, 3], [3, 0, 14, 152, 293, 8, 980, 8, 293, 152, 14, 0, 3], [3, 0, 14, 153, 285, 36, 924, 78, 237, 180, 6, 1, 3], [3, 1, 0, 222, 115, 262, 784, 64, 313, 145, 0, 10, 1], [3, 1, 0, 222, 116, 254, 812, 8, 383, 89, 28, 2, 2], [3, 1, 0, 223, 108, 282, 756, 78, 327, 117, 20, 3, 2], [3, 1, 0, 224, 100, 310, 700, 148, 271, 145, 12, 4, 2], [3, 1, 0, 225, 92, 338, 644, 218, 215, 173, 4, 5, 2], [3, 1, 0, 228, 69, 414, 504, 372, 117, 201, 8, 0, 3], [3, 1, 0, 229, 61, 442, 448, 442, 61, 229, 0, 1, 3], [3, 1, 1, 214, 143, 206, 854, 8, 341, 137, 1, 10, 1], [3, 1, 1, 215, 136, 226, 826, 22, 355, 109, 21, 3, 2], [3, 1, 1, 216, 128, 254, 770, 92, 299, 137, 13, 4, 2], [3, 1, 1, 217, 120, 282, 714, 162, 243, 165, 5, 5, 2], [3, 1, 1, 220, 97, 358, 574, 316, 145, 193, 9, 0, 3], [3, 1, 1, 221, 89, 386, 518, 386, 89, 221, 1, 1, 3], [3, 1, 2, 208, 156, 198, 840, 36, 327, 129, 14, 4, 2], [3, 1, 2, 209, 148, 226, 784, 106, 271, 157, 6, 5, 2], [3, 1, 2, 212, 125, 302, 644, 260, 173, 185, 10, 0, 3], [3, 1, 2, 213, 117, 330, 588, 330, 117, 213, 2, 1, 3], [3, 1, 3, 201, 176, 170, 854, 50, 299, 149, 7, 5, 2], [3, 1, 3, 204, 153, 246, 714, 204, 201, 177, 11, 0, 3], [3, 1, 3, 205, 145, 274, 658, 274, 145, 205, 3, 1, 3], [3, 1, 4, 194, 196, 142, 868, 64, 271, 169, 0, 6, 2], [3, 1, 4, 196, 181, 190, 784, 148, 229, 169, 12, 0, 3], [3, 1, 4, 197, 173, 218, 728, 218, 173, 197, 4, 1, 3], [3, 1, 5, 186, 224, 86, 938, 8, 299, 161, 1, 6, 2], [3, 1, 5, 188, 209, 134, 854, 92, 257, 161, 13, 0, 3], [3, 1, 5, 189, 201, 162, 798, 162, 201, 189, 5, 1, 3], [3, 1, 6, 180, 237, 78, 924, 36, 285, 153, 14, 0, 3], [3, 1, 6, 181, 229, 106, 868, 106, 229, 181, 6, 1, 3], [3, 1, 7, 173, 257, 50, 938, 50, 257, 173, 7, 1, 3], [3, 1, 8, 166, 277, 22, 952, 64, 229, 193, 0, 2, 3], [3, 2, 0, 193, 229, 64, 952, 22, 277, 166, 8, 1, 3], [3, 2, 0, 194, 221, 92, 896, 92, 221, 194, 0, 2, 3], [3, 2, 1, 186, 249, 36, 966, 36, 249, 186, 1, 2, 3]}