------- (13, 1536, 7) ALL distance distributions for EXTERNAL point (7, 1536, 7) has 0 possible DDs: {} (8, 1536, 7) has 1 possible DDs: {[0, 96, 0, 672, 0, 672, 0, 96, 0]} (9, 1536, 7) has 7 possible DDs: {[0, 48, 48, 336, 336, 336, 336, 48, 48, 0], [0, 49, 40, 364, 280, 406, 280, 76, 40, 1], [0, 50, 32, 392, 224, 476, 224, 104, 32, 2], [0, 51, 24, 420, 168, 546, 168, 132, 24, 3], [0, 52, 16, 448, 112, 616, 112, 160, 16, 4], [0, 53, 8, 476, 56, 686, 56, 188, 8, 5], [0, 54, 0, 504, 0, 756, 0, 216, 0, 6]} (10, 1536, 7) has 38 possible DDs: {[0, 20, 80, 80, 560, 56, 560, 80, 80, 20, 0], [0, 20, 81, 72, 588, 0, 630, 24, 108, 12, 1], [0, 21, 72, 108, 504, 126, 504, 108, 72, 21, 0], [0, 21, 73, 100, 532, 70, 574, 52, 100, 13, 1], [0, 22, 64, 136, 448, 196, 448, 136, 64, 22, 0], [0, 22, 65, 128, 476, 140, 518, 80, 92, 14, 1], [0, 22, 66, 120, 504, 84, 588, 24, 120, 6, 2], [0, 23, 56, 164, 392, 266, 392, 164, 56, 23, 0], [0, 23, 57, 156, 420, 210, 462, 108, 84, 15, 1], [0, 23, 58, 148, 448, 154, 532, 52, 112, 7, 2], [0, 24, 48, 192, 336, 336, 336, 192, 48, 24, 0], [0, 24, 49, 184, 364, 280, 406, 136, 76, 16, 1], [0, 24, 50, 176, 392, 224, 476, 80, 104, 8, 2], [0, 24, 51, 168, 420, 168, 546, 24, 132, 0, 3], [0, 25, 40, 220, 280, 406, 280, 220, 40, 25, 0], [0, 25, 41, 212, 308, 350, 350, 164, 68, 17, 1], [0, 25, 42, 204, 336, 294, 420, 108, 96, 9, 2], [0, 25, 43, 196, 364, 238, 490, 52, 124, 1, 3], [0, 26, 32, 248, 224, 476, 224, 248, 32, 26, 0], [0, 26, 33, 240, 252, 420, 294, 192, 60, 18, 1], [0, 26, 34, 232, 280, 364, 364, 136, 88, 10, 2], [0, 26, 35, 224, 308, 308, 434, 80, 116, 2, 3], [0, 27, 24, 276, 168, 546, 168, 276, 24, 27, 0], [0, 27, 25, 268, 196, 490, 238, 220, 52, 19, 1], [0, 27, 26, 260, 224, 434, 308, 164, 80, 11, 2], [0, 27, 27, 252, 252, 378, 378, 108, 108, 3, 3], [0, 28, 16, 304, 112, 616, 112, 304, 16, 28, 0], [0, 28, 17, 296, 140, 560, 182, 248, 44, 20, 1], [0, 28, 18, 288, 168, 504, 252, 192, 72, 12, 2], [0, 28, 19, 280, 196, 448, 322, 136, 100, 4, 3], [0, 29, 8, 332, 56, 686, 56, 332, 8, 29, 0], [0, 29, 9, 324, 84, 630, 126, 276, 36, 21, 1], [0, 29, 10, 316, 112, 574, 196, 220, 64, 13, 2], [0, 29, 11, 308, 140, 518, 266, 164, 92, 5, 3], [0, 30, 0, 360, 0, 756, 0, 360, 0, 30, 0], [0, 30, 1, 352, 28, 700, 70, 304, 28, 22, 1], [0, 30, 2, 344, 56, 644, 140, 248, 56, 14, 2], [0, 30, 3, 336, 84, 588, 210, 192, 84, 6, 3]} (11, 1536, 7) has 185 possible DDs: {[0, 6, 78, 0, 432, 252, 252, 432, 0, 78, 6, 0], [0, 7, 71, 20, 404, 266, 266, 404, 20, 71, 7, 0], [0, 7, 72, 12, 432, 210, 336, 348, 48, 63, 8, 0], [0, 7, 73, 4, 460, 154, 406, 292, 76, 55, 9, 0], [0, 7, 73, 5, 452, 182, 350, 362, 20, 83, 1, 1], [0, 8, 63, 48, 348, 336, 210, 432, 12, 72, 7, 0], [0, 8, 64, 40, 376, 280, 280, 376, 40, 64, 8, 0], [0, 8, 65, 32, 404, 224, 350, 320, 68, 56, 9, 0], [0, 8, 65, 33, 396, 252, 294, 390, 12, 84, 1, 1], [0, 8, 66, 24, 432, 168, 420, 264, 96, 48, 10, 0], [0, 8, 66, 25, 424, 196, 364, 334, 40, 76, 2, 1], [0, 8, 67, 16, 460, 112, 490, 208, 124, 40, 11, 0], [0, 8, 67, 17, 452, 140, 434, 278, 68, 68, 3, 1], [0, 8, 68, 8, 488, 56, 560, 152, 152, 32, 12, 0], [0, 8, 68, 9, 480, 84, 504, 222, 96, 60, 4, 1], [0, 8, 69, 0, 516, 0, 630, 96, 180, 24, 13, 0], [0, 8, 69, 1, 508, 28, 574, 166, 124, 52, 5, 1], [0, 9, 55, 76, 292, 406, 154, 460, 4, 73, 7, 0], [0, 9, 56, 68, 320, 350, 224, 404, 32, 65, 8, 0], [0, 9, 57, 60, 348, 294, 294, 348, 60, 57, 9, 0], [0, 9, 57, 61, 340, 322, 238, 418, 4, 85, 1, 1], [0, 9, 58, 52, 376, 238, 364, 292, 88, 49, 10, 0], [0, 9, 58, 53, 368, 266, 308, 362, 32, 77, 2, 1], [0, 9, 59, 44, 404, 182, 434, 236, 116, 41, 11, 0], [0, 9, 59, 45, 396, 210, 378, 306, 60, 69, 3, 1], [0, 9, 60, 36, 432, 126, 504, 180, 144, 33, 12, 0], [0, 9, 60, 37, 424, 154, 448, 250, 88, 61, 4, 1], [0, 9, 61, 28, 460, 70, 574, 124, 172, 25, 13, 0], [0, 9, 61, 29, 452, 98, 518, 194, 116, 53, 5, 1], [0, 9, 62, 20, 488, 14, 644, 68, 200, 17, 14, 0], [0, 9, 62, 21, 480, 42, 588, 138, 144, 45, 6, 1], [0, 10, 48, 96, 264, 420, 168, 432, 24, 66, 8, 0], [0, 10, 49, 88, 292, 364, 238, 376, 52, 58, 9, 0], [0, 10, 50, 80, 320, 308, 308, 320, 80, 50, 10, 0], [0, 10, 50, 81, 312, 336, 252, 390, 24, 78, 2, 1], [0, 10, 51, 72, 348, 252, 378, 264, 108, 42, 11, 0], [0, 10, 51, 73, 340, 280, 322, 334, 52, 70, 3, 1], [0, 10, 52, 64, 376, 196, 448, 208, 136, 34, 12, 0], [0, 10, 52, 65, 368, 224, 392, 278, 80, 62, 4, 1], [0, 10, 53, 56, 404, 140, 518, 152, 164, 26, 13, 0], [0, 10, 53, 57, 396, 168, 462, 222, 108, 54, 5, 1], [0, 10, 54, 48, 432, 84, 588, 96, 192, 18, 14, 0], [0, 10, 54, 49, 424, 112, 532, 166, 136, 46, 6, 1], [0, 10, 55, 40, 460, 28, 658, 40, 220, 10, 15, 0], [0, 10, 55, 41, 452, 56, 602, 110, 164, 38, 7, 1], [0, 10, 56, 33, 480, 0, 672, 54, 192, 30, 8, 1], [0, 10, 56, 34, 472, 28, 616, 124, 136, 58, 0, 2], [0, 11, 40, 124, 208, 490, 112, 460, 16, 67, 8, 0], [0, 11, 41, 116, 236, 434, 182, 404, 44, 59, 9, 0], [0, 11, 42, 108, 264, 378, 252, 348, 72, 51, 10, 0], [0, 11, 42, 109, 256, 406, 196, 418, 16, 79, 2, 1], [0, 11, 43, 100, 292, 322, 322, 292, 100, 43, 11, 0], [0, 11, 43, 101, 284, 350, 266, 362, 44, 71, 3, 1], [0, 11, 44, 92, 320, 266, 392, 236, 128, 35, 12, 0], [0, 11, 44, 93, 312, 294, 336, 306, 72, 63, 4, 1], [0, 11, 45, 84, 348, 210, 462, 180, 156, 27, 13, 0], [0, 11, 45, 85, 340, 238, 406, 250, 100, 55, 5, 1], [0, 11, 46, 76, 376, 154, 532, 124, 184, 19, 14, 0], [0, 11, 46, 77, 368, 182, 476, 194, 128, 47, 6, 1], [0, 11, 47, 68, 404, 98, 602, 68, 212, 11, 15, 0], [0, 11, 47, 69, 396, 126, 546, 138, 156, 39, 7, 1], [0, 11, 48, 60, 432, 42, 672, 12, 240, 3, 16, 0], [0, 11, 48, 61, 424, 70, 616, 82, 184, 31, 8, 1], [0, 11, 48, 62, 416, 98, 560, 152, 128, 59, 0, 2], [0, 11, 49, 53, 452, 14, 686, 26, 212, 23, 9, 1], [0, 11, 49, 54, 444, 42, 630, 96, 156, 51, 1, 2], [0, 12, 32, 152, 152, 560, 56, 488, 8, 68, 8, 0], [0, 12, 33, 144, 180, 504, 126, 432, 36, 60, 9, 0], [0, 12, 34, 136, 208, 448, 196, 376, 64, 52, 10, 0], [0, 12, 34, 137, 200, 476, 140, 446, 8, 80, 2, 1], [0, 12, 35, 128, 236, 392, 266, 320, 92, 44, 11, 0], [0, 12, 35, 129, 228, 420, 210, 390, 36, 72, 3, 1], [0, 12, 36, 120, 264, 336, 336, 264, 120, 36, 12, 0], [0, 12, 36, 121, 256, 364, 280, 334, 64, 64, 4, 1], [0, 12, 37, 112, 292, 280, 406, 208, 148, 28, 13, 0], [0, 12, 37, 113, 284, 308, 350, 278, 92, 56, 5, 1], [0, 12, 38, 104, 320, 224, 476, 152, 176, 20, 14, 0], [0, 12, 38, 105, 312, 252, 420, 222, 120, 48, 6, 1], [0, 12, 39, 96, 348, 168, 546, 96, 204, 12, 15, 0], [0, 12, 39, 97, 340, 196, 490, 166, 148, 40, 7, 1], [0, 12, 40, 88, 376, 112, 616, 40, 232, 4, 16, 0], [0, 12, 40, 89, 368, 140, 560, 110, 176, 32, 8, 1], [0, 12, 40, 90, 360, 168, 504, 180, 120, 60, 0, 2], [0, 12, 41, 81, 396, 84, 630, 54, 204, 24, 9, 1], [0, 12, 41, 82, 388, 112, 574, 124, 148, 52, 1, 2], [0, 12, 42, 74, 416, 56, 644, 68, 176, 44, 2, 2], [0, 12, 43, 66, 444, 0, 714, 12, 204, 36, 3, 2], [0, 13, 24, 180, 96, 630, 0, 516, 0, 69, 8, 0], [0, 13, 25, 172, 124, 574, 70, 460, 28, 61, 9, 0], [0, 13, 26, 164, 152, 518, 140, 404, 56, 53, 10, 0], [0, 13, 26, 165, 144, 546, 84, 474, 0, 81, 2, 1], [0, 13, 27, 156, 180, 462, 210, 348, 84, 45, 11, 0], [0, 13, 27, 157, 172, 490, 154, 418, 28, 73, 3, 1], [0, 13, 28, 148, 208, 406, 280, 292, 112, 37, 12, 0], [0, 13, 28, 149, 200, 434, 224, 362, 56, 65, 4, 1], [0, 13, 29, 140, 236, 350, 350, 236, 140, 29, 13, 0], [0, 13, 29, 141, 228, 378, 294, 306, 84, 57, 5, 1], [0, 13, 30, 132, 264, 294, 420, 180, 168, 21, 14, 0], [0, 13, 30, 133, 256, 322, 364, 250, 112, 49, 6, 1], [0, 13, 31, 124, 292, 238, 490, 124, 196, 13, 15, 0], [0, 13, 31, 125, 284, 266, 434, 194, 140, 41, 7, 1], [0, 13, 32, 116, 320, 182, 560, 68, 224, 5, 16, 0], [0, 13, 32, 117, 312, 210, 504, 138, 168, 33, 8, 1], [0, 13, 32, 118, 304, 238, 448, 208, 112, 61, 0, 2], [0, 13, 33, 109, 340, 154, 574, 82, 196, 25, 9, 1], [0, 13, 33, 110, 332, 182, 518, 152, 140, 53, 1, 2], [0, 13, 34, 101, 368, 98, 644, 26, 224, 17, 10, 1], [0, 13, 34, 102, 360, 126, 588, 96, 168, 45, 2, 2], [0, 13, 35, 94, 388, 70, 658, 40, 196, 37, 3, 2], [0, 14, 17, 200, 68, 644, 14, 488, 20, 62, 9, 0], [0, 14, 18, 192, 96, 588, 84, 432, 48, 54, 10, 0], [0, 14, 19, 184, 124, 532, 154, 376, 76, 46, 11, 0], [0, 14, 19, 185, 116, 560, 98, 446, 20, 74, 3, 1], [0, 14, 20, 176, 152, 476, 224, 320, 104, 38, 12, 0], [0, 14, 20, 177, 144, 504, 168, 390, 48, 66, 4, 1], [0, 14, 21, 168, 180, 420, 294, 264, 132, 30, 13, 0], [0, 14, 21, 169, 172, 448, 238, 334, 76, 58, 5, 1], [0, 14, 22, 160, 208, 364, 364, 208, 160, 22, 14, 0], [0, 14, 22, 161, 200, 392, 308, 278, 104, 50, 6, 1], [0, 14, 23, 152, 236, 308, 434, 152, 188, 14, 15, 0], [0, 14, 23, 153, 228, 336, 378, 222, 132, 42, 7, 1], [0, 14, 24, 144, 264, 252, 504, 96, 216, 6, 16, 0], [0, 14, 24, 145, 256, 280, 448, 166, 160, 34, 8, 1], [0, 14, 24, 146, 248, 308, 392, 236, 104, 62, 0, 2], [0, 14, 25, 137, 284, 224, 518, 110, 188, 26, 9, 1], [0, 14, 25, 138, 276, 252, 462, 180, 132, 54, 1, 2], [0, 14, 26, 129, 312, 168, 588, 54, 216, 18, 10, 1], [0, 14, 26, 130, 304, 196, 532, 124, 160, 46, 2, 2], [0, 14, 27, 122, 332, 140, 602, 68, 188, 38, 3, 2], [0, 14, 28, 114, 360, 84, 672, 12, 216, 30, 4, 2], [0, 15, 10, 220, 40, 658, 28, 460, 40, 55, 10, 0], [0, 15, 11, 212, 68, 602, 98, 404, 68, 47, 11, 0], [0, 15, 11, 213, 60, 630, 42, 474, 12, 75, 3, 1], [0, 15, 12, 204, 96, 546, 168, 348, 96, 39, 12, 0], [0, 15, 12, 205, 88, 574, 112, 418, 40, 67, 4, 1], [0, 15, 13, 196, 124, 490, 238, 292, 124, 31, 13, 0], [0, 15, 13, 197, 116, 518, 182, 362, 68, 59, 5, 1], [0, 15, 14, 188, 152, 434, 308, 236, 152, 23, 14, 0], [0, 15, 14, 189, 144, 462, 252, 306, 96, 51, 6, 1], [0, 15, 15, 180, 180, 378, 378, 180, 180, 15, 15, 0], [0, 15, 15, 181, 172, 406, 322, 250, 124, 43, 7, 1], [0, 15, 16, 172, 208, 322, 448, 124, 208, 7, 16, 0], [0, 15, 16, 173, 200, 350, 392, 194, 152, 35, 8, 1], [0, 15, 16, 174, 192, 378, 336, 264, 96, 63, 0, 2], [0, 15, 17, 165, 228, 294, 462, 138, 180, 27, 9, 1], [0, 15, 17, 166, 220, 322, 406, 208, 124, 55, 1, 2], [0, 15, 18, 157, 256, 238, 532, 82, 208, 19, 10, 1], [0, 15, 18, 158, 248, 266, 476, 152, 152, 47, 2, 2], [0, 15, 19, 149, 284, 182, 602, 26, 236, 11, 11, 1], [0, 15, 19, 150, 276, 210, 546, 96, 180, 39, 3, 2], [0, 15, 20, 142, 304, 154, 616, 40, 208, 31, 4, 2], [0, 16, 3, 240, 12, 672, 42, 432, 60, 48, 11, 0], [0, 16, 4, 232, 40, 616, 112, 376, 88, 40, 12, 0], [0, 16, 4, 233, 32, 644, 56, 446, 32, 68, 4, 1], [0, 16, 5, 224, 68, 560, 182, 320, 116, 32, 13, 0], [0, 16, 5, 225, 60, 588, 126, 390, 60, 60, 5, 1], [0, 16, 6, 216, 96, 504, 252, 264, 144, 24, 14, 0], [0, 16, 6, 217, 88, 532, 196, 334, 88, 52, 6, 1], [0, 16, 7, 208, 124, 448, 322, 208, 172, 16, 15, 0], [0, 16, 7, 209, 116, 476, 266, 278, 116, 44, 7, 1], [0, 16, 8, 200, 152, 392, 392, 152, 200, 8, 16, 0], [0, 16, 8, 201, 144, 420, 336, 222, 144, 36, 8, 1], [0, 16, 8, 202, 136, 448, 280, 292, 88, 64, 0, 2], [0, 16, 9, 192, 180, 336, 462, 96, 228, 0, 17, 0], [0, 16, 9, 193, 172, 364, 406, 166, 172, 28, 9, 1], [0, 16, 9, 194, 164, 392, 350, 236, 116, 56, 1, 2], [0, 16, 10, 185, 200, 308, 476, 110, 200, 20, 10, 1], [0, 16, 10, 186, 192, 336, 420, 180, 144, 48, 2, 2], [0, 16, 11, 177, 228, 252, 546, 54, 228, 12, 11, 1], [0, 16, 11, 178, 220, 280, 490, 124, 172, 40, 3, 2], [0, 16, 12, 170, 248, 224, 560, 68, 200, 32, 4, 2], [0, 16, 13, 162, 276, 168, 630, 12, 228, 24, 5, 2], [0, 17, 0, 228, 96, 462, 336, 180, 192, 9, 16, 0], [0, 17, 0, 229, 88, 490, 280, 250, 136, 37, 8, 1], [0, 17, 0, 230, 80, 518, 224, 320, 80, 65, 0, 2], [0, 17, 1, 220, 124, 406, 406, 124, 220, 1, 17, 0], [0, 17, 1, 221, 116, 434, 350, 194, 164, 29, 9, 1], [0, 17, 1, 222, 108, 462, 294, 264, 108, 57, 1, 2], [0, 17, 2, 213, 144, 378, 420, 138, 192, 21, 10, 1], [0, 17, 2, 214, 136, 406, 364, 208, 136, 49, 2, 2], [0, 17, 3, 205, 172, 322, 490, 82, 220, 13, 11, 1], [0, 17, 3, 206, 164, 350, 434, 152, 164, 41, 3, 2], [0, 17, 4, 197, 200, 266, 560, 26, 248, 5, 12, 1], [0, 17, 4, 198, 192, 294, 504, 96, 192, 33, 4, 2], [0, 17, 5, 190, 220, 238, 574, 40, 220, 25, 5, 2]} (12, 1536, 7) has 844 possible DDs: {[0, 0, 58, 16, 184, 496, 28, 496, 184, 16, 58, 0, 0], [0, 0, 59, 8, 212, 440, 98, 440, 212, 8, 59, 0, 0], [0, 0, 59, 9, 204, 468, 42, 510, 156, 36, 51, 1, 0], [0, 0, 60, 0, 240, 384, 168, 384, 240, 0, 60, 0, 0], [0, 0, 60, 1, 232, 412, 112, 454, 184, 28, 52, 1, 0], [0, 0, 60, 2, 224, 440, 56, 524, 128, 56, 44, 2, 0], [0, 0, 60, 3, 216, 468, 0, 594, 72, 84, 36, 3, 0], [0, 1, 51, 36, 156, 510, 42, 468, 204, 9, 59, 0, 0], [0, 1, 52, 28, 184, 454, 112, 412, 232, 1, 60, 0, 0], [0, 1, 52, 29, 176, 482, 56, 482, 176, 29, 52, 1, 0], [0, 1, 52, 30, 168, 510, 0, 552, 120, 57, 44, 2, 0], [0, 1, 53, 21, 204, 426, 126, 426, 204, 21, 53, 1, 0], [0, 1, 53, 22, 196, 454, 70, 496, 148, 49, 45, 2, 0], [0, 1, 53, 23, 188, 482, 14, 566, 92, 77, 37, 3, 0], [0, 1, 54, 13, 232, 370, 196, 370, 232, 13, 54, 1, 0], [0, 1, 54, 14, 224, 398, 140, 440, 176, 41, 46, 2, 0], [0, 1, 54, 15, 216, 426, 84, 510, 120, 69, 38, 3, 0], [0, 1, 54, 16, 208, 454, 28, 580, 64, 97, 30, 4, 0], [0, 1, 55, 5, 260, 314, 266, 314, 260, 5, 55, 1, 0], [0, 1, 55, 6, 252, 342, 210, 384, 204, 33, 47, 2, 0], [0, 1, 55, 7, 244, 370, 154, 454, 148, 61, 39, 3, 0], [0, 1, 55, 8, 236, 398, 98, 524, 92, 89, 31, 4, 0], [0, 1, 55, 9, 228, 426, 42, 594, 36, 117, 23, 5, 0], [0, 1, 56, 0, 264, 342, 168, 468, 120, 81, 32, 4, 0], [0, 1, 56, 1, 256, 370, 112, 538, 64, 109, 24, 5, 0], [0, 1, 56, 2, 248, 398, 56, 608, 8, 137, 16, 6, 0], [0, 2, 44, 56, 128, 524, 56, 440, 224, 2, 60, 0, 0], [0, 2, 44, 57, 120, 552, 0, 510, 168, 30, 52, 1, 0], [0, 2, 45, 49, 148, 496, 70, 454, 196, 22, 53, 1, 0], [0, 2, 45, 50, 140, 524, 14, 524, 140, 50, 45, 2, 0], [0, 2, 46, 41, 176, 440, 140, 398, 224, 14, 54, 1, 0], [0, 2, 46, 42, 168, 468, 84, 468, 168, 42, 46, 2, 0], [0, 2, 46, 43, 160, 496, 28, 538, 112, 70, 38, 3, 0], [0, 2, 47, 33, 204, 384, 210, 342, 252, 6, 55, 1, 0], [0, 2, 47, 34, 196, 412, 154, 412, 196, 34, 47, 2, 0], [0, 2, 47, 35, 188, 440, 98, 482, 140, 62, 39, 3, 0], [0, 2, 47, 36, 180, 468, 42, 552, 84, 90, 31, 4, 0], [0, 2, 48, 26, 224, 356, 224, 356, 224, 26, 48, 2, 0], [0, 2, 48, 27, 216, 384, 168, 426, 168, 54, 40, 3, 0], [0, 2, 48, 28, 208, 412, 112, 496, 112, 82, 32, 4, 0], [0, 2, 48, 29, 200, 440, 56, 566, 56, 110, 24, 5, 0], [0, 2, 48, 30, 192, 468, 0, 636, 0, 138, 16, 6, 0], [0, 2, 49, 18, 252, 300, 294, 300, 252, 18, 49, 2, 0], [0, 2, 49, 19, 244, 328, 238, 370, 196, 46, 41, 3, 0], [0, 2, 49, 20, 236, 356, 182, 440, 140, 74, 33, 4, 0], [0, 2, 49, 21, 228, 384, 126, 510, 84, 102, 25, 5, 0], [0, 2, 49, 22, 220, 412, 70, 580, 28, 130, 17, 6, 0], [0, 2, 50, 10, 280, 244, 364, 244, 280, 10, 50, 2, 0], [0, 2, 50, 11, 272, 272, 308, 314, 224, 38, 42, 3, 0], [0, 2, 50, 12, 264, 300, 252, 384, 168, 66, 34, 4, 0], [0, 2, 50, 13, 256, 328, 196, 454, 112, 94, 26, 5, 0], [0, 2, 50, 14, 248, 356, 140, 524, 56, 122, 18, 6, 0], [0, 2, 50, 15, 240, 384, 84, 594, 0, 150, 10, 7, 0], [0, 2, 50, 16, 233, 404, 56, 608, 14, 122, 30, 0, 1], [0, 2, 51, 2, 308, 188, 434, 188, 308, 2, 51, 2, 0], [0, 2, 51, 3, 300, 216, 378, 258, 252, 30, 43, 3, 0], [0, 2, 51, 4, 292, 244, 322, 328, 196, 58, 35, 4, 0], [0, 2, 51, 5, 284, 272, 266, 398, 140, 86, 27, 5, 0], [0, 2, 51, 6, 276, 300, 210, 468, 84, 114, 19, 6, 0], [0, 2, 51, 7, 268, 328, 154, 538, 28, 142, 11, 7, 0], [0, 2, 51, 8, 261, 348, 126, 552, 42, 114, 31, 0, 1], [0, 2, 52, 0, 288, 300, 168, 552, 0, 162, 4, 8, 0], [0, 2, 52, 0, 289, 292, 196, 496, 70, 106, 32, 0, 1], [0, 2, 52, 1, 281, 320, 140, 566, 14, 134, 24, 1, 1], [0, 3, 36, 84, 72, 594, 0, 468, 216, 3, 60, 0, 0], [0, 3, 37, 77, 92, 566, 14, 482, 188, 23, 53, 1, 0], [0, 3, 38, 69, 120, 510, 84, 426, 216, 15, 54, 1, 0], [0, 3, 38, 70, 112, 538, 28, 496, 160, 43, 46, 2, 0], [0, 3, 39, 61, 148, 454, 154, 370, 244, 7, 55, 1, 0], [0, 3, 39, 62, 140, 482, 98, 440, 188, 35, 47, 2, 0], [0, 3, 39, 63, 132, 510, 42, 510, 132, 63, 39, 3, 0], [0, 3, 40, 54, 168, 426, 168, 384, 216, 27, 48, 2, 0], [0, 3, 40, 55, 160, 454, 112, 454, 160, 55, 40, 3, 0], [0, 3, 40, 56, 152, 482, 56, 524, 104, 83, 32, 4, 0], [0, 3, 40, 57, 144, 510, 0, 594, 48, 111, 24, 5, 0], [0, 3, 41, 46, 196, 370, 238, 328, 244, 19, 49, 2, 0], [0, 3, 41, 47, 188, 398, 182, 398, 188, 47, 41, 3, 0], [0, 3, 41, 48, 180, 426, 126, 468, 132, 75, 33, 4, 0], [0, 3, 41, 49, 172, 454, 70, 538, 76, 103, 25, 5, 0], [0, 3, 41, 50, 164, 482, 14, 608, 20, 131, 17, 6, 0], [0, 3, 42, 38, 224, 314, 308, 272, 272, 11, 50, 2, 0], [0, 3, 42, 39, 216, 342, 252, 342, 216, 39, 42, 3, 0], [0, 3, 42, 40, 208, 370, 196, 412, 160, 67, 34, 4, 0], [0, 3, 42, 41, 200, 398, 140, 482, 104, 95, 26, 5, 0], [0, 3, 42, 42, 192, 426, 84, 552, 48, 123, 18, 6, 0], [0, 3, 42, 44, 177, 474, 0, 636, 6, 123, 30, 0, 1], [0, 3, 43, 30, 252, 258, 378, 216, 300, 3, 51, 2, 0], [0, 3, 43, 31, 244, 286, 322, 286, 244, 31, 43, 3, 0], [0, 3, 43, 32, 236, 314, 266, 356, 188, 59, 35, 4, 0], [0, 3, 43, 33, 228, 342, 210, 426, 132, 87, 27, 5, 0], [0, 3, 43, 34, 220, 370, 154, 496, 76, 115, 19, 6, 0], [0, 3, 43, 35, 212, 398, 98, 566, 20, 143, 11, 7, 0], [0, 3, 43, 36, 205, 418, 70, 580, 34, 115, 31, 0, 1], [0, 3, 44, 23, 272, 230, 392, 230, 272, 23, 44, 3, 0], [0, 3, 44, 24, 264, 258, 336, 300, 216, 51, 36, 4, 0], [0, 3, 44, 25, 256, 286, 280, 370, 160, 79, 28, 5, 0], [0, 3, 44, 26, 248, 314, 224, 440, 104, 107, 20, 6, 0], [0, 3, 44, 27, 240, 342, 168, 510, 48, 135, 12, 7, 0], [0, 3, 44, 28, 233, 362, 140, 524, 62, 107, 32, 0, 1], [0, 3, 44, 29, 225, 390, 84, 594, 6, 135, 24, 1, 1], [0, 3, 45, 15, 300, 174, 462, 174, 300, 15, 45, 3, 0], [0, 3, 45, 16, 292, 202, 406, 244, 244, 43, 37, 4, 0], [0, 3, 45, 17, 284, 230, 350, 314, 188, 71, 29, 5, 0], [0, 3, 45, 18, 276, 258, 294, 384, 132, 99, 21, 6, 0], [0, 3, 45, 19, 268, 286, 238, 454, 76, 127, 13, 7, 0], [0, 3, 45, 20, 260, 314, 182, 524, 20, 155, 5, 8, 0], [0, 3, 45, 20, 261, 306, 210, 468, 90, 99, 33, 0, 1], [0, 3, 45, 21, 253, 334, 154, 538, 34, 127, 25, 1, 1], [0, 3, 46, 7, 328, 118, 532, 118, 328, 7, 46, 3, 0], [0, 3, 46, 8, 320, 146, 476, 188, 272, 35, 38, 4, 0], [0, 3, 46, 9, 312, 174, 420, 258, 216, 63, 30, 5, 0], [0, 3, 46, 10, 304, 202, 364, 328, 160, 91, 22, 6, 0], [0, 3, 46, 11, 296, 230, 308, 398, 104, 119, 14, 7, 0], [0, 3, 46, 12, 288, 258, 252, 468, 48, 147, 6, 8, 0], [0, 3, 46, 12, 289, 250, 280, 412, 118, 91, 34, 0, 1], [0, 3, 46, 13, 281, 278, 224, 482, 62, 119, 26, 1, 1], [0, 3, 46, 14, 273, 306, 168, 552, 6, 147, 18, 2, 1], [0, 3, 47, 0, 348, 90, 546, 132, 300, 27, 39, 4, 0], [0, 3, 47, 1, 340, 118, 490, 202, 244, 55, 31, 5, 0], [0, 3, 47, 2, 332, 146, 434, 272, 188, 83, 23, 6, 0], [0, 3, 47, 3, 324, 174, 378, 342, 132, 111, 15, 7, 0], [0, 3, 47, 4, 316, 202, 322, 412, 76, 139, 7, 8, 0], [0, 3, 47, 4, 317, 194, 350, 356, 146, 83, 35, 0, 1], [0, 3, 47, 5, 309, 222, 294, 426, 90, 111, 27, 1, 1], [0, 3, 47, 6, 301, 250, 238, 496, 34, 139, 19, 2, 1], [0, 4, 30, 97, 64, 580, 28, 454, 208, 16, 54, 1, 0], [0, 4, 31, 89, 92, 524, 98, 398, 236, 8, 55, 1, 0], [0, 4, 31, 90, 84, 552, 42, 468, 180, 36, 47, 2, 0], [0, 4, 32, 81, 120, 468, 168, 342, 264, 0, 56, 1, 0], [0, 4, 32, 82, 112, 496, 112, 412, 208, 28, 48, 2, 0], [0, 4, 32, 83, 104, 524, 56, 482, 152, 56, 40, 3, 0], [0, 4, 32, 84, 96, 552, 0, 552, 96, 84, 32, 4, 0], [0, 4, 33, 74, 140, 440, 182, 356, 236, 20, 49, 2, 0], [0, 4, 33, 75, 132, 468, 126, 426, 180, 48, 41, 3, 0], [0, 4, 33, 76, 124, 496, 70, 496, 124, 76, 33, 4, 0], [0, 4, 33, 77, 116, 524, 14, 566, 68, 104, 25, 5, 0], [0, 4, 34, 66, 168, 384, 252, 300, 264, 12, 50, 2, 0], [0, 4, 34, 67, 160, 412, 196, 370, 208, 40, 42, 3, 0], [0, 4, 34, 68, 152, 440, 140, 440, 152, 68, 34, 4, 0], [0, 4, 34, 69, 144, 468, 84, 510, 96, 96, 26, 5, 0], [0, 4, 34, 70, 136, 496, 28, 580, 40, 124, 18, 6, 0], [0, 4, 35, 58, 196, 328, 322, 244, 292, 4, 51, 2, 0], [0, 4, 35, 59, 188, 356, 266, 314, 236, 32, 43, 3, 0], [0, 4, 35, 60, 180, 384, 210, 384, 180, 60, 35, 4, 0], [0, 4, 35, 61, 172, 412, 154, 454, 124, 88, 27, 5, 0], [0, 4, 35, 62, 164, 440, 98, 524, 68, 116, 19, 6, 0], [0, 4, 35, 63, 156, 468, 42, 594, 12, 144, 11, 7, 0], [0, 4, 35, 64, 149, 488, 14, 608, 26, 116, 31, 0, 1], [0, 4, 36, 51, 216, 300, 336, 258, 264, 24, 44, 3, 0], [0, 4, 36, 52, 208, 328, 280, 328, 208, 52, 36, 4, 0], [0, 4, 36, 53, 200, 356, 224, 398, 152, 80, 28, 5, 0], [0, 4, 36, 54, 192, 384, 168, 468, 96, 108, 20, 6, 0], [0, 4, 36, 55, 184, 412, 112, 538, 40, 136, 12, 7, 0], [0, 4, 36, 56, 177, 432, 84, 552, 54, 108, 32, 0, 1], [0, 4, 37, 43, 244, 244, 406, 202, 292, 16, 45, 3, 0], [0, 4, 37, 44, 236, 272, 350, 272, 236, 44, 37, 4, 0], [0, 4, 37, 45, 228, 300, 294, 342, 180, 72, 29, 5, 0], [0, 4, 37, 46, 220, 328, 238, 412, 124, 100, 21, 6, 0], [0, 4, 37, 47, 212, 356, 182, 482, 68, 128, 13, 7, 0], [0, 4, 37, 48, 204, 384, 126, 552, 12, 156, 5, 8, 0], [0, 4, 37, 48, 205, 376, 154, 496, 82, 100, 33, 0, 1], [0, 4, 37, 49, 197, 404, 98, 566, 26, 128, 25, 1, 1], [0, 4, 38, 35, 272, 188, 476, 146, 320, 8, 46, 3, 0], [0, 4, 38, 36, 264, 216, 420, 216, 264, 36, 38, 4, 0], [0, 4, 38, 37, 256, 244, 364, 286, 208, 64, 30, 5, 0], [0, 4, 38, 38, 248, 272, 308, 356, 152, 92, 22, 6, 0], [0, 4, 38, 39, 240, 300, 252, 426, 96, 120, 14, 7, 0], [0, 4, 38, 40, 232, 328, 196, 496, 40, 148, 6, 8, 0], [0, 4, 38, 40, 233, 320, 224, 440, 110, 92, 34, 0, 1], [0, 4, 38, 41, 225, 348, 168, 510, 54, 120, 26, 1, 1], [0, 4, 39, 27, 300, 132, 546, 90, 348, 0, 47, 3, 0], [0, 4, 39, 28, 292, 160, 490, 160, 292, 28, 39, 4, 0], [0, 4, 39, 29, 284, 188, 434, 230, 236, 56, 31, 5, 0], [0, 4, 39, 30, 276, 216, 378, 300, 180, 84, 23, 6, 0], [0, 4, 39, 31, 268, 244, 322, 370, 124, 112, 15, 7, 0], [0, 4, 39, 32, 260, 272, 266, 440, 68, 140, 7, 8, 0], [0, 4, 39, 32, 261, 264, 294, 384, 138, 84, 35, 0, 1], [0, 4, 39, 33, 253, 292, 238, 454, 82, 112, 27, 1, 1], [0, 4, 39, 34, 245, 320, 182, 524, 26, 140, 19, 2, 1], [0, 4, 40, 20, 320, 104, 560, 104, 320, 20, 40, 4, 0], [0, 4, 40, 21, 312, 132, 504, 174, 264, 48, 32, 5, 0], [0, 4, 40, 22, 304, 160, 448, 244, 208, 76, 24, 6, 0], [0, 4, 40, 23, 296, 188, 392, 314, 152, 104, 16, 7, 0], [0, 4, 40, 24, 288, 216, 336, 384, 96, 132, 8, 8, 0], [0, 4, 40, 24, 289, 208, 364, 328, 166, 76, 36, 0, 1], [0, 4, 40, 25, 280, 244, 280, 454, 40, 160, 0, 9, 0], [0, 4, 40, 25, 281, 236, 308, 398, 110, 104, 28, 1, 1], [0, 4, 40, 26, 273, 264, 252, 468, 54, 132, 20, 2, 1], [0, 4, 41, 12, 348, 48, 630, 48, 348, 12, 41, 4, 0], [0, 4, 41, 13, 340, 76, 574, 118, 292, 40, 33, 5, 0], [0, 4, 41, 14, 332, 104, 518, 188, 236, 68, 25, 6, 0], [0, 4, 41, 15, 324, 132, 462, 258, 180, 96, 17, 7, 0], [0, 4, 41, 16, 316, 160, 406, 328, 124, 124, 9, 8, 0], [0, 4, 41, 16, 317, 152, 434, 272, 194, 68, 37, 0, 1], [0, 4, 41, 17, 308, 188, 350, 398, 68, 152, 1, 9, 0], [0, 4, 41, 17, 309, 180, 378, 342, 138, 96, 29, 1, 1], [0, 4, 41, 18, 301, 208, 322, 412, 82, 124, 21, 2, 1], [0, 4, 41, 19, 293, 236, 266, 482, 26, 152, 13, 3, 1], [0, 4, 42, 5, 368, 20, 644, 62, 320, 32, 34, 5, 0], [0, 4, 42, 6, 360, 48, 588, 132, 264, 60, 26, 6, 0], [0, 4, 42, 7, 352, 76, 532, 202, 208, 88, 18, 7, 0], [0, 4, 42, 8, 344, 104, 476, 272, 152, 116, 10, 8, 0], [0, 4, 42, 8, 345, 96, 504, 216, 222, 60, 38, 0, 1], [0, 4, 42, 9, 336, 132, 420, 342, 96, 144, 2, 9, 0], [0, 4, 42, 9, 337, 124, 448, 286, 166, 88, 30, 1, 1], [0, 4, 42, 10, 329, 152, 392, 356, 110, 116, 22, 2, 1], [0, 4, 42, 11, 321, 180, 336, 426, 54, 144, 14, 3, 1], [0, 4, 43, 0, 372, 48, 546, 216, 180, 108, 11, 8, 0], [0, 4, 43, 0, 373, 40, 574, 160, 250, 52, 39, 0, 1], [0, 4, 43, 1, 364, 76, 490, 286, 124, 136, 3, 9, 0], [0, 4, 43, 1, 365, 68, 518, 230, 194, 80, 31, 1, 1], [0, 4, 43, 2, 357, 96, 462, 300, 138, 108, 23, 2, 1], [0, 4, 43, 3, 349, 124, 406, 370, 82, 136, 15, 3, 1], [0, 4, 43, 4, 341, 152, 350, 440, 26, 164, 7, 4, 1], [0, 5, 23, 117, 36, 594, 42, 426, 228, 9, 55, 1, 0], [0, 5, 24, 109, 64, 538, 112, 370, 256, 1, 56, 1, 0], [0, 5, 24, 110, 56, 566, 56, 440, 200, 29, 48, 2, 0], [0, 5, 24, 111, 48, 594, 0, 510, 144, 57, 40, 3, 0], [0, 5, 25, 102, 84, 510, 126, 384, 228, 21, 49, 2, 0], [0, 5, 25, 103, 76, 538, 70, 454, 172, 49, 41, 3, 0], [0, 5, 25, 104, 68, 566, 14, 524, 116, 77, 33, 4, 0], [0, 5, 26, 94, 112, 454, 196, 328, 256, 13, 50, 2, 0], [0, 5, 26, 95, 104, 482, 140, 398, 200, 41, 42, 3, 0], [0, 5, 26, 96, 96, 510, 84, 468, 144, 69, 34, 4, 0], [0, 5, 26, 97, 88, 538, 28, 538, 88, 97, 26, 5, 0], [0, 5, 27, 86, 140, 398, 266, 272, 284, 5, 51, 2, 0], [0, 5, 27, 87, 132, 426, 210, 342, 228, 33, 43, 3, 0], [0, 5, 27, 88, 124, 454, 154, 412, 172, 61, 35, 4, 0], [0, 5, 27, 89, 116, 482, 98, 482, 116, 89, 27, 5, 0], [0, 5, 27, 90, 108, 510, 42, 552, 60, 117, 19, 6, 0], [0, 5, 28, 79, 160, 370, 280, 286, 256, 25, 44, 3, 0], [0, 5, 28, 80, 152, 398, 224, 356, 200, 53, 36, 4, 0], [0, 5, 28, 81, 144, 426, 168, 426, 144, 81, 28, 5, 0], [0, 5, 28, 82, 136, 454, 112, 496, 88, 109, 20, 6, 0], [0, 5, 28, 83, 128, 482, 56, 566, 32, 137, 12, 7, 0], [0, 5, 28, 84, 121, 502, 28, 580, 46, 109, 32, 0, 1], [0, 5, 29, 71, 188, 314, 350, 230, 284, 17, 45, 3, 0], [0, 5, 29, 72, 180, 342, 294, 300, 228, 45, 37, 4, 0], [0, 5, 29, 73, 172, 370, 238, 370, 172, 73, 29, 5, 0], [0, 5, 29, 74, 164, 398, 182, 440, 116, 101, 21, 6, 0], [0, 5, 29, 75, 156, 426, 126, 510, 60, 129, 13, 7, 0], [0, 5, 29, 76, 148, 454, 70, 580, 4, 157, 5, 8, 0], [0, 5, 29, 76, 149, 446, 98, 524, 74, 101, 33, 0, 1], [0, 5, 29, 77, 141, 474, 42, 594, 18, 129, 25, 1, 1], [0, 5, 30, 63, 216, 258, 420, 174, 312, 9, 46, 3, 0], [0, 5, 30, 64, 208, 286, 364, 244, 256, 37, 38, 4, 0], [0, 5, 30, 65, 200, 314, 308, 314, 200, 65, 30, 5, 0], [0, 5, 30, 66, 192, 342, 252, 384, 144, 93, 22, 6, 0], [0, 5, 30, 67, 184, 370, 196, 454, 88, 121, 14, 7, 0], [0, 5, 30, 68, 176, 398, 140, 524, 32, 149, 6, 8, 0], [0, 5, 30, 68, 177, 390, 168, 468, 102, 93, 34, 0, 1], [0, 5, 30, 69, 169, 418, 112, 538, 46, 121, 26, 1, 1], [0, 5, 31, 55, 244, 202, 490, 118, 340, 1, 47, 3, 0], [0, 5, 31, 56, 236, 230, 434, 188, 284, 29, 39, 4, 0], [0, 5, 31, 57, 228, 258, 378, 258, 228, 57, 31, 5, 0], [0, 5, 31, 58, 220, 286, 322, 328, 172, 85, 23, 6, 0], [0, 5, 31, 59, 212, 314, 266, 398, 116, 113, 15, 7, 0], [0, 5, 31, 60, 204, 342, 210, 468, 60, 141, 7, 8, 0], [0, 5, 31, 60, 205, 334, 238, 412, 130, 85, 35, 0, 1], [0, 5, 31, 61, 197, 362, 182, 482, 74, 113, 27, 1, 1], [0, 5, 31, 62, 189, 390, 126, 552, 18, 141, 19, 2, 1], [0, 5, 32, 48, 264, 174, 504, 132, 312, 21, 40, 4, 0], [0, 5, 32, 49, 256, 202, 448, 202, 256, 49, 32, 5, 0], [0, 5, 32, 50, 248, 230, 392, 272, 200, 77, 24, 6, 0], [0, 5, 32, 51, 240, 258, 336, 342, 144, 105, 16, 7, 0], [0, 5, 32, 52, 232, 286, 280, 412, 88, 133, 8, 8, 0], [0, 5, 32, 52, 233, 278, 308, 356, 158, 77, 36, 0, 1], [0, 5, 32, 53, 224, 314, 224, 482, 32, 161, 0, 9, 0], [0, 5, 32, 53, 225, 306, 252, 426, 102, 105, 28, 1, 1], [0, 5, 32, 54, 217, 334, 196, 496, 46, 133, 20, 2, 1], [0, 5, 33, 40, 292, 118, 574, 76, 340, 13, 41, 4, 0], [0, 5, 33, 41, 284, 146, 518, 146, 284, 41, 33, 5, 0], [0, 5, 33, 42, 276, 174, 462, 216, 228, 69, 25, 6, 0], [0, 5, 33, 43, 268, 202, 406, 286, 172, 97, 17, 7, 0], [0, 5, 33, 44, 260, 230, 350, 356, 116, 125, 9, 8, 0], [0, 5, 33, 44, 261, 222, 378, 300, 186, 69, 37, 0, 1], [0, 5, 33, 45, 252, 258, 294, 426, 60, 153, 1, 9, 0], [0, 5, 33, 45, 253, 250, 322, 370, 130, 97, 29, 1, 1], [0, 5, 33, 46, 245, 278, 266, 440, 74, 125, 21, 2, 1], [0, 5, 33, 47, 237, 306, 210, 510, 18, 153, 13, 3, 1], [0, 5, 34, 32, 320, 62, 644, 20, 368, 5, 42, 4, 0], [0, 5, 34, 33, 312, 90, 588, 90, 312, 33, 34, 5, 0], [0, 5, 34, 34, 304, 118, 532, 160, 256, 61, 26, 6, 0], [0, 5, 34, 35, 296, 146, 476, 230, 200, 89, 18, 7, 0], [0, 5, 34, 36, 288, 174, 420, 300, 144, 117, 10, 8, 0], [0, 5, 34, 36, 289, 166, 448, 244, 214, 61, 38, 0, 1], [0, 5, 34, 37, 280, 202, 364, 370, 88, 145, 2, 9, 0], [0, 5, 34, 37, 281, 194, 392, 314, 158, 89, 30, 1, 1], [0, 5, 34, 38, 273, 222, 336, 384, 102, 117, 22, 2, 1], [0, 5, 34, 39, 265, 250, 280, 454, 46, 145, 14, 3, 1], [0, 5, 35, 25, 340, 34, 658, 34, 340, 25, 35, 5, 0], [0, 5, 35, 26, 332, 62, 602, 104, 284, 53, 27, 6, 0], [0, 5, 35, 27, 324, 90, 546, 174, 228, 81, 19, 7, 0], [0, 5, 35, 28, 316, 118, 490, 244, 172, 109, 11, 8, 0], [0, 5, 35, 28, 317, 110, 518, 188, 242, 53, 39, 0, 1], [0, 5, 35, 29, 308, 146, 434, 314, 116, 137, 3, 9, 0], [0, 5, 35, 29, 309, 138, 462, 258, 186, 81, 31, 1, 1], [0, 5, 35, 30, 301, 166, 406, 328, 130, 109, 23, 2, 1], [0, 5, 35, 31, 293, 194, 350, 398, 74, 137, 15, 3, 1], [0, 5, 35, 32, 285, 222, 294, 468, 18, 165, 7, 4, 1], [0, 5, 36, 18, 360, 6, 672, 48, 312, 45, 28, 6, 0], [0, 5, 36, 19, 352, 34, 616, 118, 256, 73, 20, 7, 0], [0, 5, 36, 20, 344, 62, 560, 188, 200, 101, 12, 8, 0], [0, 5, 36, 20, 345, 54, 588, 132, 270, 45, 40, 0, 1], [0, 5, 36, 21, 336, 90, 504, 258, 144, 129, 4, 9, 0], [0, 5, 36, 21, 337, 82, 532, 202, 214, 73, 32, 1, 1], [0, 5, 36, 22, 329, 110, 476, 272, 158, 101, 24, 2, 1], [0, 5, 36, 23, 321, 138, 420, 342, 102, 129, 16, 3, 1], [0, 5, 36, 24, 313, 166, 364, 412, 46, 157, 8, 4, 1], [0, 5, 37, 12, 372, 6, 630, 132, 228, 93, 13, 8, 0], [0, 5, 37, 13, 364, 34, 574, 202, 172, 121, 5, 9, 0], [0, 5, 37, 13, 365, 26, 602, 146, 242, 65, 33, 1, 1], [0, 5, 37, 14, 357, 54, 546, 216, 186, 93, 25, 2, 1], [0, 5, 37, 15, 349, 82, 490, 286, 130, 121, 17, 3, 1], [0, 5, 37, 16, 341, 110, 434, 356, 74, 149, 9, 4, 1], [0, 5, 37, 17, 333, 138, 378, 426, 18, 177, 1, 5, 1], [0, 5, 38, 7, 377, 26, 560, 230, 158, 113, 18, 3, 1], [0, 5, 38, 8, 369, 54, 504, 300, 102, 141, 10, 4, 1], [0, 5, 38, 9, 361, 82, 448, 370, 46, 169, 2, 5, 1], [0, 5, 39, 1, 389, 26, 518, 314, 74, 161, 3, 5, 1], [0, 6, 16, 137, 8, 608, 56, 398, 248, 2, 56, 1, 0], [0, 6, 16, 138, 0, 636, 0, 468, 192, 30, 48, 2, 0], [0, 6, 17, 130, 28, 580, 70, 412, 220, 22, 49, 2, 0], [0, 6, 17, 131, 20, 608, 14, 482, 164, 50, 41, 3, 0], [0, 6, 18, 122, 56, 524, 140, 356, 248, 14, 50, 2, 0], [0, 6, 18, 123, 48, 552, 84, 426, 192, 42, 42, 3, 0], [0, 6, 18, 124, 40, 580, 28, 496, 136, 70, 34, 4, 0], [0, 6, 19, 114, 84, 468, 210, 300, 276, 6, 51, 2, 0], [0, 6, 19, 115, 76, 496, 154, 370, 220, 34, 43, 3, 0], [0, 6, 19, 116, 68, 524, 98, 440, 164, 62, 35, 4, 0], [0, 6, 19, 117, 60, 552, 42, 510, 108, 90, 27, 5, 0], [0, 6, 20, 107, 104, 440, 224, 314, 248, 26, 44, 3, 0], [0, 6, 20, 108, 96, 468, 168, 384, 192, 54, 36, 4, 0], [0, 6, 20, 109, 88, 496, 112, 454, 136, 82, 28, 5, 0], [0, 6, 20, 110, 80, 524, 56, 524, 80, 110, 20, 6, 0], [0, 6, 20, 111, 72, 552, 0, 594, 24, 138, 12, 7, 0], [0, 6, 21, 99, 132, 384, 294, 258, 276, 18, 45, 3, 0], [0, 6, 21, 100, 124, 412, 238, 328, 220, 46, 37, 4, 0], [0, 6, 21, 101, 116, 440, 182, 398, 164, 74, 29, 5, 0], [0, 6, 21, 102, 108, 468, 126, 468, 108, 102, 21, 6, 0], [0, 6, 21, 103, 100, 496, 70, 538, 52, 130, 13, 7, 0], [0, 6, 21, 104, 93, 516, 42, 552, 66, 102, 33, 0, 1], [0, 6, 22, 91, 160, 328, 364, 202, 304, 10, 46, 3, 0], [0, 6, 22, 92, 152, 356, 308, 272, 248, 38, 38, 4, 0], [0, 6, 22, 93, 144, 384, 252, 342, 192, 66, 30, 5, 0], [0, 6, 22, 94, 136, 412, 196, 412, 136, 94, 22, 6, 0], [0, 6, 22, 95, 128, 440, 140, 482, 80, 122, 14, 7, 0], [0, 6, 22, 96, 120, 468, 84, 552, 24, 150, 6, 8, 0], [0, 6, 22, 96, 121, 460, 112, 496, 94, 94, 34, 0, 1], [0, 6, 22, 97, 113, 488, 56, 566, 38, 122, 26, 1, 1], [0, 6, 23, 83, 188, 272, 434, 146, 332, 2, 47, 3, 0], [0, 6, 23, 84, 180, 300, 378, 216, 276, 30, 39, 4, 0], [0, 6, 23, 85, 172, 328, 322, 286, 220, 58, 31, 5, 0], [0, 6, 23, 86, 164, 356, 266, 356, 164, 86, 23, 6, 0], [0, 6, 23, 87, 156, 384, 210, 426, 108, 114, 15, 7, 0], [0, 6, 23, 88, 148, 412, 154, 496, 52, 142, 7, 8, 0], [0, 6, 23, 88, 149, 404, 182, 440, 122, 86, 35, 0, 1], [0, 6, 23, 89, 141, 432, 126, 510, 66, 114, 27, 1, 1], [0, 6, 23, 90, 133, 460, 70, 580, 10, 142, 19, 2, 1], [0, 6, 24, 76, 208, 244, 448, 160, 304, 22, 40, 4, 0], [0, 6, 24, 77, 200, 272, 392, 230, 248, 50, 32, 5, 0], [0, 6, 24, 78, 192, 300, 336, 300, 192, 78, 24, 6, 0], [0, 6, 24, 79, 184, 328, 280, 370, 136, 106, 16, 7, 0], [0, 6, 24, 80, 176, 356, 224, 440, 80, 134, 8, 8, 0], [0, 6, 24, 80, 177, 348, 252, 384, 150, 78, 36, 0, 1], [0, 6, 24, 81, 168, 384, 168, 510, 24, 162, 0, 9, 0], [0, 6, 24, 81, 169, 376, 196, 454, 94, 106, 28, 1, 1], [0, 6, 24, 82, 161, 404, 140, 524, 38, 134, 20, 2, 1], [0, 6, 25, 68, 236, 188, 518, 104, 332, 14, 41, 4, 0], [0, 6, 25, 69, 228, 216, 462, 174, 276, 42, 33, 5, 0], [0, 6, 25, 70, 220, 244, 406, 244, 220, 70, 25, 6, 0], [0, 6, 25, 71, 212, 272, 350, 314, 164, 98, 17, 7, 0], [0, 6, 25, 72, 204, 300, 294, 384, 108, 126, 9, 8, 0], [0, 6, 25, 72, 205, 292, 322, 328, 178, 70, 37, 0, 1], [0, 6, 25, 73, 196, 328, 238, 454, 52, 154, 1, 9, 0], [0, 6, 25, 73, 197, 320, 266, 398, 122, 98, 29, 1, 1], [0, 6, 25, 74, 189, 348, 210, 468, 66, 126, 21, 2, 1], [0, 6, 25, 75, 181, 376, 154, 538, 10, 154, 13, 3, 1], [0, 6, 26, 60, 264, 132, 588, 48, 360, 6, 42, 4, 0], [0, 6, 26, 61, 256, 160, 532, 118, 304, 34, 34, 5, 0], [0, 6, 26, 62, 248, 188, 476, 188, 248, 62, 26, 6, 0], [0, 6, 26, 63, 240, 216, 420, 258, 192, 90, 18, 7, 0], [0, 6, 26, 64, 232, 244, 364, 328, 136, 118, 10, 8, 0], [0, 6, 26, 64, 233, 236, 392, 272, 206, 62, 38, 0, 1], [0, 6, 26, 65, 224, 272, 308, 398, 80, 146, 2, 9, 0], [0, 6, 26, 65, 225, 264, 336, 342, 150, 90, 30, 1, 1], [0, 6, 26, 66, 217, 292, 280, 412, 94, 118, 22, 2, 1], [0, 6, 26, 67, 209, 320, 224, 482, 38, 146, 14, 3, 1], [0, 6, 27, 53, 284, 104, 602, 62, 332, 26, 35, 5, 0], [0, 6, 27, 54, 276, 132, 546, 132, 276, 54, 27, 6, 0], [0, 6, 27, 55, 268, 160, 490, 202, 220, 82, 19, 7, 0], [0, 6, 27, 56, 260, 188, 434, 272, 164, 110, 11, 8, 0], [0, 6, 27, 56, 261, 180, 462, 216, 234, 54, 39, 0, 1], [0, 6, 27, 57, 252, 216, 378, 342, 108, 138, 3, 9, 0], [0, 6, 27, 57, 253, 208, 406, 286, 178, 82, 31, 1, 1], [0, 6, 27, 58, 245, 236, 350, 356, 122, 110, 23, 2, 1], [0, 6, 27, 59, 237, 264, 294, 426, 66, 138, 15, 3, 1], [0, 6, 27, 60, 229, 292, 238, 496, 10, 166, 7, 4, 1], [0, 6, 28, 45, 312, 48, 672, 6, 360, 18, 36, 5, 0], [0, 6, 28, 46, 304, 76, 616, 76, 304, 46, 28, 6, 0], [0, 6, 28, 47, 296, 104, 560, 146, 248, 74, 20, 7, 0], [0, 6, 28, 48, 288, 132, 504, 216, 192, 102, 12, 8, 0], [0, 6, 28, 48, 289, 124, 532, 160, 262, 46, 40, 0, 1], [0, 6, 28, 49, 280, 160, 448, 286, 136, 130, 4, 9, 0], [0, 6, 28, 49, 281, 152, 476, 230, 206, 74, 32, 1, 1], [0, 6, 28, 50, 273, 180, 420, 300, 150, 102, 24, 2, 1], [0, 6, 28, 51, 265, 208, 364, 370, 94, 130, 16, 3, 1], [0, 6, 28, 52, 257, 236, 308, 440, 38, 158, 8, 4, 1], [0, 6, 29, 38, 332, 20, 686, 20, 332, 38, 29, 6, 0], [0, 6, 29, 39, 324, 48, 630, 90, 276, 66, 21, 7, 0], [0, 6, 29, 40, 316, 76, 574, 160, 220, 94, 13, 8, 0], [0, 6, 29, 40, 317, 68, 602, 104, 290, 38, 41, 0, 1], [0, 6, 29, 41, 308, 104, 518, 230, 164, 122, 5, 9, 0], [0, 6, 29, 41, 309, 96, 546, 174, 234, 66, 33, 1, 1], [0, 6, 29, 42, 301, 124, 490, 244, 178, 94, 25, 2, 1], [0, 6, 29, 43, 293, 152, 434, 314, 122, 122, 17, 3, 1], [0, 6, 29, 44, 285, 180, 378, 384, 66, 150, 9, 4, 1], [0, 6, 29, 45, 277, 208, 322, 454, 10, 178, 1, 5, 1], [0, 6, 30, 32, 344, 20, 644, 104, 248, 86, 14, 8, 0], [0, 6, 30, 32, 345, 12, 672, 48, 318, 30, 42, 0, 1], [0, 6, 30, 33, 336, 48, 588, 174, 192, 114, 6, 9, 0], [0, 6, 30, 33, 337, 40, 616, 118, 262, 58, 34, 1, 1], [0, 6, 30, 34, 329, 68, 560, 188, 206, 86, 26, 2, 1], [0, 6, 30, 35, 321, 96, 504, 258, 150, 114, 18, 3, 1], [0, 6, 30, 36, 313, 124, 448, 328, 94, 142, 10, 4, 1], [0, 6, 30, 37, 305, 152, 392, 398, 38, 170, 2, 5, 1], [0, 6, 31, 26, 357, 12, 630, 132, 234, 78, 27, 2, 1], [0, 6, 31, 27, 349, 40, 574, 202, 178, 106, 19, 3, 1], [0, 6, 31, 28, 341, 68, 518, 272, 122, 134, 11, 4, 1], [0, 6, 31, 29, 333, 96, 462, 342, 66, 162, 3, 5, 1], [0, 6, 32, 20, 369, 12, 588, 216, 150, 126, 12, 4, 1], [0, 6, 32, 21, 361, 40, 532, 286, 94, 154, 4, 5, 1], [0, 6, 33, 16, 366, 60, 462, 384, 24, 174, 9, 0, 2], [0, 6, 34, 8, 394, 4, 532, 328, 52, 166, 10, 0, 2], [0, 7, 10, 150, 0, 594, 84, 384, 240, 15, 50, 2, 0], [0, 7, 11, 142, 28, 538, 154, 328, 268, 7, 51, 2, 0], [0, 7, 11, 143, 20, 566, 98, 398, 212, 35, 43, 3, 0], [0, 7, 11, 144, 12, 594, 42, 468, 156, 63, 35, 4, 0], [0, 7, 12, 135, 48, 510, 168, 342, 240, 27, 44, 3, 0], [0, 7, 12, 136, 40, 538, 112, 412, 184, 55, 36, 4, 0], [0, 7, 12, 137, 32, 566, 56, 482, 128, 83, 28, 5, 0], [0, 7, 12, 138, 24, 594, 0, 552, 72, 111, 20, 6, 0], [0, 7, 13, 127, 76, 454, 238, 286, 268, 19, 45, 3, 0], [0, 7, 13, 128, 68, 482, 182, 356, 212, 47, 37, 4, 0], [0, 7, 13, 129, 60, 510, 126, 426, 156, 75, 29, 5, 0], [0, 7, 13, 130, 52, 538, 70, 496, 100, 103, 21, 6, 0], [0, 7, 13, 131, 44, 566, 14, 566, 44, 131, 13, 7, 0], [0, 7, 14, 119, 104, 398, 308, 230, 296, 11, 46, 3, 0], [0, 7, 14, 120, 96, 426, 252, 300, 240, 39, 38, 4, 0], [0, 7, 14, 121, 88, 454, 196, 370, 184, 67, 30, 5, 0], [0, 7, 14, 122, 80, 482, 140, 440, 128, 95, 22, 6, 0], [0, 7, 14, 123, 72, 510, 84, 510, 72, 123, 14, 7, 0], [0, 7, 14, 124, 64, 538, 28, 580, 16, 151, 6, 8, 0], [0, 7, 14, 124, 65, 530, 56, 524, 86, 95, 34, 0, 1], [0, 7, 14, 125, 57, 558, 0, 594, 30, 123, 26, 1, 1], [0, 7, 15, 111, 132, 342, 378, 174, 324, 3, 47, 3, 0], [0, 7, 15, 112, 124, 370, 322, 244, 268, 31, 39, 4, 0], [0, 7, 15, 113, 116, 398, 266, 314, 212, 59, 31, 5, 0], [0, 7, 15, 114, 108, 426, 210, 384, 156, 87, 23, 6, 0], [0, 7, 15, 115, 100, 454, 154, 454, 100, 115, 15, 7, 0], [0, 7, 15, 116, 92, 482, 98, 524, 44, 143, 7, 8, 0], [0, 7, 15, 116, 93, 474, 126, 468, 114, 87, 35, 0, 1], [0, 7, 15, 117, 85, 502, 70, 538, 58, 115, 27, 1, 1], [0, 7, 15, 118, 77, 530, 14, 608, 2, 143, 19, 2, 1], [0, 7, 16, 104, 152, 314, 392, 188, 296, 23, 40, 4, 0], [0, 7, 16, 105, 144, 342, 336, 258, 240, 51, 32, 5, 0], [0, 7, 16, 106, 136, 370, 280, 328, 184, 79, 24, 6, 0], [0, 7, 16, 107, 128, 398, 224, 398, 128, 107, 16, 7, 0], [0, 7, 16, 108, 120, 426, 168, 468, 72, 135, 8, 8, 0], [0, 7, 16, 108, 121, 418, 196, 412, 142, 79, 36, 0, 1], [0, 7, 16, 109, 112, 454, 112, 538, 16, 163, 0, 9, 0], [0, 7, 16, 109, 113, 446, 140, 482, 86, 107, 28, 1, 1], [0, 7, 16, 110, 105, 474, 84, 552, 30, 135, 20, 2, 1], [0, 7, 17, 96, 180, 258, 462, 132, 324, 15, 41, 4, 0], [0, 7, 17, 97, 172, 286, 406, 202, 268, 43, 33, 5, 0], [0, 7, 17, 98, 164, 314, 350, 272, 212, 71, 25, 6, 0], [0, 7, 17, 99, 156, 342, 294, 342, 156, 99, 17, 7, 0], [0, 7, 17, 100, 148, 370, 238, 412, 100, 127, 9, 8, 0], [0, 7, 17, 100, 149, 362, 266, 356, 170, 71, 37, 0, 1], [0, 7, 17, 101, 140, 398, 182, 482, 44, 155, 1, 9, 0], [0, 7, 17, 101, 141, 390, 210, 426, 114, 99, 29, 1, 1], [0, 7, 17, 102, 133, 418, 154, 496, 58, 127, 21, 2, 1], [0, 7, 17, 103, 125, 446, 98, 566, 2, 155, 13, 3, 1], [0, 7, 18, 88, 208, 202, 532, 76, 352, 7, 42, 4, 0], [0, 7, 18, 89, 200, 230, 476, 146, 296, 35, 34, 5, 0], [0, 7, 18, 90, 192, 258, 420, 216, 240, 63, 26, 6, 0], [0, 7, 18, 91, 184, 286, 364, 286, 184, 91, 18, 7, 0], [0, 7, 18, 92, 176, 314, 308, 356, 128, 119, 10, 8, 0], [0, 7, 18, 92, 177, 306, 336, 300, 198, 63, 38, 0, 1], [0, 7, 18, 93, 168, 342, 252, 426, 72, 147, 2, 9, 0], [0, 7, 18, 93, 169, 334, 280, 370, 142, 91, 30, 1, 1], [0, 7, 18, 94, 161, 362, 224, 440, 86, 119, 22, 2, 1], [0, 7, 18, 95, 153, 390, 168, 510, 30, 147, 14, 3, 1], [0, 7, 19, 81, 228, 174, 546, 90, 324, 27, 35, 5, 0], [0, 7, 19, 82, 220, 202, 490, 160, 268, 55, 27, 6, 0], [0, 7, 19, 83, 212, 230, 434, 230, 212, 83, 19, 7, 0], [0, 7, 19, 84, 204, 258, 378, 300, 156, 111, 11, 8, 0], [0, 7, 19, 84, 205, 250, 406, 244, 226, 55, 39, 0, 1], [0, 7, 19, 85, 196, 286, 322, 370, 100, 139, 3, 9, 0], [0, 7, 19, 85, 197, 278, 350, 314, 170, 83, 31, 1, 1], [0, 7, 19, 86, 189, 306, 294, 384, 114, 111, 23, 2, 1], [0, 7, 19, 87, 181, 334, 238, 454, 58, 139, 15, 3, 1], [0, 7, 19, 88, 173, 362, 182, 524, 2, 167, 7, 4, 1], [0, 7, 20, 73, 256, 118, 616, 34, 352, 19, 36, 5, 0], [0, 7, 20, 74, 248, 146, 560, 104, 296, 47, 28, 6, 0], [0, 7, 20, 75, 240, 174, 504, 174, 240, 75, 20, 7, 0], [0, 7, 20, 76, 232, 202, 448, 244, 184, 103, 12, 8, 0], [0, 7, 20, 76, 233, 194, 476, 188, 254, 47, 40, 0, 1], [0, 7, 20, 77, 224, 230, 392, 314, 128, 131, 4, 9, 0], [0, 7, 20, 77, 225, 222, 420, 258, 198, 75, 32, 1, 1], [0, 7, 20, 78, 217, 250, 364, 328, 142, 103, 24, 2, 1], [0, 7, 20, 79, 209, 278, 308, 398, 86, 131, 16, 3, 1], [0, 7, 20, 80, 201, 306, 252, 468, 30, 159, 8, 4, 1], [0, 7, 21, 66, 276, 90, 630, 48, 324, 39, 29, 6, 0], [0, 7, 21, 67, 268, 118, 574, 118, 268, 67, 21, 7, 0], [0, 7, 21, 68, 260, 146, 518, 188, 212, 95, 13, 8, 0], [0, 7, 21, 68, 261, 138, 546, 132, 282, 39, 41, 0, 1], [0, 7, 21, 69, 252, 174, 462, 258, 156, 123, 5, 9, 0], [0, 7, 21, 69, 253, 166, 490, 202, 226, 67, 33, 1, 1], [0, 7, 21, 70, 245, 194, 434, 272, 170, 95, 25, 2, 1], [0, 7, 21, 71, 237, 222, 378, 342, 114, 123, 17, 3, 1], [0, 7, 21, 72, 229, 250, 322, 412, 58, 151, 9, 4, 1], [0, 7, 21, 73, 221, 278, 266, 482, 2, 179, 1, 5, 1], [0, 7, 22, 59, 296, 62, 644, 62, 296, 59, 22, 7, 0], [0, 7, 22, 60, 288, 90, 588, 132, 240, 87, 14, 8, 0], [0, 7, 22, 60, 289, 82, 616, 76, 310, 31, 42, 0, 1], [0, 7, 22, 61, 280, 118, 532, 202, 184, 115, 6, 9, 0], [0, 7, 22, 61, 281, 110, 560, 146, 254, 59, 34, 1, 1], [0, 7, 22, 62, 273, 138, 504, 216, 198, 87, 26, 2, 1], [0, 7, 22, 63, 265, 166, 448, 286, 142, 115, 18, 3, 1], [0, 7, 22, 64, 257, 194, 392, 356, 86, 143, 10, 4, 1], [0, 7, 22, 65, 249, 222, 336, 426, 30, 171, 2, 5, 1], [0, 7, 23, 51, 324, 6, 714, 6, 324, 51, 23, 7, 0], [0, 7, 23, 52, 316, 34, 658, 76, 268, 79, 15, 8, 0], [0, 7, 23, 52, 317, 26, 686, 20, 338, 23, 43, 0, 1], [0, 7, 23, 53, 308, 62, 602, 146, 212, 107, 7, 9, 0], [0, 7, 23, 53, 309, 54, 630, 90, 282, 51, 35, 1, 1], [0, 7, 23, 54, 301, 82, 574, 160, 226, 79, 27, 2, 1], [0, 7, 23, 55, 293, 110, 518, 230, 170, 107, 19, 3, 1], [0, 7, 23, 56, 285, 138, 462, 300, 114, 135, 11, 4, 1], [0, 7, 23, 57, 277, 166, 406, 370, 58, 163, 3, 5, 1], [0, 7, 24, 45, 336, 6, 672, 90, 240, 99, 8, 9, 0], [0, 7, 24, 46, 328, 34, 616, 160, 184, 127, 0, 10, 0], [0, 7, 24, 46, 329, 26, 644, 104, 254, 71, 28, 2, 1], [0, 7, 24, 47, 321, 54, 588, 174, 198, 99, 20, 3, 1], [0, 7, 24, 48, 313, 82, 532, 244, 142, 127, 12, 4, 1], [0, 7, 24, 49, 305, 110, 476, 314, 86, 155, 4, 5, 1], [0, 7, 25, 40, 341, 26, 602, 188, 170, 119, 13, 4, 1], [0, 7, 25, 41, 333, 54, 546, 258, 114, 147, 5, 5, 1], [0, 7, 25, 44, 310, 130, 406, 412, 16, 175, 9, 0, 2], [0, 7, 26, 36, 338, 74, 476, 356, 44, 167, 10, 0, 2], [0, 7, 27, 28, 366, 18, 546, 300, 72, 159, 11, 0, 2], [0, 7, 27, 29, 358, 46, 490, 370, 16, 187, 3, 1, 2], [0, 8, 4, 162, 0, 552, 168, 300, 288, 0, 52, 2, 0], [0, 8, 5, 155, 20, 524, 182, 314, 260, 20, 45, 3, 0], [0, 8, 5, 156, 12, 552, 126, 384, 204, 48, 37, 4, 0], [0, 8, 5, 157, 4, 580, 70, 454, 148, 76, 29, 5, 0], [0, 8, 6, 147, 48, 468, 252, 258, 288, 12, 46, 3, 0], [0, 8, 6, 148, 40, 496, 196, 328, 232, 40, 38, 4, 0], [0, 8, 6, 149, 32, 524, 140, 398, 176, 68, 30, 5, 0], [0, 8, 6, 150, 24, 552, 84, 468, 120, 96, 22, 6, 0], [0, 8, 6, 151, 16, 580, 28, 538, 64, 124, 14, 7, 0], [0, 8, 6, 152, 9, 600, 0, 552, 78, 96, 34, 0, 1], [0, 8, 7, 139, 76, 412, 322, 202, 316, 4, 47, 3, 0], [0, 8, 7, 140, 68, 440, 266, 272, 260, 32, 39, 4, 0], [0, 8, 7, 141, 60, 468, 210, 342, 204, 60, 31, 5, 0], [0, 8, 7, 142, 52, 496, 154, 412, 148, 88, 23, 6, 0], [0, 8, 7, 143, 44, 524, 98, 482, 92, 116, 15, 7, 0], [0, 8, 7, 144, 36, 552, 42, 552, 36, 144, 7, 8, 0], [0, 8, 7, 144, 37, 544, 70, 496, 106, 88, 35, 0, 1], [0, 8, 7, 145, 29, 572, 14, 566, 50, 116, 27, 1, 1], [0, 8, 8, 132, 96, 384, 336, 216, 288, 24, 40, 4, 0], [0, 8, 8, 133, 88, 412, 280, 286, 232, 52, 32, 5, 0], [0, 8, 8, 134, 80, 440, 224, 356, 176, 80, 24, 6, 0], [0, 8, 8, 135, 72, 468, 168, 426, 120, 108, 16, 7, 0], [0, 8, 8, 136, 64, 496, 112, 496, 64, 136, 8, 8, 0], [0, 8, 8, 136, 65, 488, 140, 440, 134, 80, 36, 0, 1], [0, 8, 8, 137, 56, 524, 56, 566, 8, 164, 0, 9, 0], [0, 8, 8, 137, 57, 516, 84, 510, 78, 108, 28, 1, 1], [0, 8, 8, 138, 49, 544, 28, 580, 22, 136, 20, 2, 1], [0, 8, 9, 124, 124, 328, 406, 160, 316, 16, 41, 4, 0], [0, 8, 9, 125, 116, 356, 350, 230, 260, 44, 33, 5, 0], [0, 8, 9, 126, 108, 384, 294, 300, 204, 72, 25, 6, 0], [0, 8, 9, 127, 100, 412, 238, 370, 148, 100, 17, 7, 0], [0, 8, 9, 128, 92, 440, 182, 440, 92, 128, 9, 8, 0], [0, 8, 9, 128, 93, 432, 210, 384, 162, 72, 37, 0, 1], [0, 8, 9, 129, 84, 468, 126, 510, 36, 156, 1, 9, 0], [0, 8, 9, 129, 85, 460, 154, 454, 106, 100, 29, 1, 1], [0, 8, 9, 130, 77, 488, 98, 524, 50, 128, 21, 2, 1], [0, 8, 10, 116, 152, 272, 476, 104, 344, 8, 42, 4, 0], [0, 8, 10, 117, 144, 300, 420, 174, 288, 36, 34, 5, 0], [0, 8, 10, 118, 136, 328, 364, 244, 232, 64, 26, 6, 0], [0, 8, 10, 119, 128, 356, 308, 314, 176, 92, 18, 7, 0], [0, 8, 10, 120, 120, 384, 252, 384, 120, 120, 10, 8, 0], [0, 8, 10, 120, 121, 376, 280, 328, 190, 64, 38, 0, 1], [0, 8, 10, 121, 112, 412, 196, 454, 64, 148, 2, 9, 0], [0, 8, 10, 121, 113, 404, 224, 398, 134, 92, 30, 1, 1], [0, 8, 10, 122, 105, 432, 168, 468, 78, 120, 22, 2, 1], [0, 8, 10, 123, 97, 460, 112, 538, 22, 148, 14, 3, 1], [0, 8, 11, 108, 180, 216, 546, 48, 372, 0, 43, 4, 0], [0, 8, 11, 109, 172, 244, 490, 118, 316, 28, 35, 5, 0], [0, 8, 11, 110, 164, 272, 434, 188, 260, 56, 27, 6, 0], [0, 8, 11, 111, 156, 300, 378, 258, 204, 84, 19, 7, 0], [0, 8, 11, 112, 148, 328, 322, 328, 148, 112, 11, 8, 0], [0, 8, 11, 112, 149, 320, 350, 272, 218, 56, 39, 0, 1], [0, 8, 11, 113, 140, 356, 266, 398, 92, 140, 3, 9, 0], [0, 8, 11, 113, 141, 348, 294, 342, 162, 84, 31, 1, 1], [0, 8, 11, 114, 133, 376, 238, 412, 106, 112, 23, 2, 1], [0, 8, 11, 115, 125, 404, 182, 482, 50, 140, 15, 3, 1], [0, 8, 12, 101, 200, 188, 560, 62, 344, 20, 36, 5, 0], [0, 8, 12, 102, 192, 216, 504, 132, 288, 48, 28, 6, 0], [0, 8, 12, 103, 184, 244, 448, 202, 232, 76, 20, 7, 0], [0, 8, 12, 104, 176, 272, 392, 272, 176, 104, 12, 8, 0], [0, 8, 12, 104, 177, 264, 420, 216, 246, 48, 40, 0, 1], [0, 8, 12, 105, 168, 300, 336, 342, 120, 132, 4, 9, 0], [0, 8, 12, 105, 169, 292, 364, 286, 190, 76, 32, 1, 1], [0, 8, 12, 106, 161, 320, 308, 356, 134, 104, 24, 2, 1], [0, 8, 12, 107, 153, 348, 252, 426, 78, 132, 16, 3, 1], [0, 8, 12, 108, 145, 376, 196, 496, 22, 160, 8, 4, 1], [0, 8, 13, 93, 228, 132, 630, 6, 372, 12, 37, 5, 0], [0, 8, 13, 94, 220, 160, 574, 76, 316, 40, 29, 6, 0], [0, 8, 13, 95, 212, 188, 518, 146, 260, 68, 21, 7, 0], [0, 8, 13, 96, 204, 216, 462, 216, 204, 96, 13, 8, 0], [0, 8, 13, 96, 205, 208, 490, 160, 274, 40, 41, 0, 1], [0, 8, 13, 97, 196, 244, 406, 286, 148, 124, 5, 9, 0], [0, 8, 13, 97, 197, 236, 434, 230, 218, 68, 33, 1, 1], [0, 8, 13, 98, 189, 264, 378, 300, 162, 96, 25, 2, 1], [0, 8, 13, 99, 181, 292, 322, 370, 106, 124, 17, 3, 1], [0, 8, 13, 100, 173, 320, 266, 440, 50, 152, 9, 4, 1], [0, 8, 14, 86, 248, 104, 644, 20, 344, 32, 30, 6, 0], [0, 8, 14, 87, 240, 132, 588, 90, 288, 60, 22, 7, 0], [0, 8, 14, 88, 232, 160, 532, 160, 232, 88, 14, 8, 0], [0, 8, 14, 88, 233, 152, 560, 104, 302, 32, 42, 0, 1], [0, 8, 14, 89, 224, 188, 476, 230, 176, 116, 6, 9, 0], [0, 8, 14, 89, 225, 180, 504, 174, 246, 60, 34, 1, 1], [0, 8, 14, 90, 217, 208, 448, 244, 190, 88, 26, 2, 1], [0, 8, 14, 91, 209, 236, 392, 314, 134, 116, 18, 3, 1], [0, 8, 14, 92, 201, 264, 336, 384, 78, 144, 10, 4, 1], [0, 8, 14, 93, 193, 292, 280, 454, 22, 172, 2, 5, 1], [0, 8, 15, 79, 268, 76, 658, 34, 316, 52, 23, 7, 0], [0, 8, 15, 80, 260, 104, 602, 104, 260, 80, 15, 8, 0], [0, 8, 15, 80, 261, 96, 630, 48, 330, 24, 43, 0, 1], [0, 8, 15, 81, 252, 132, 546, 174, 204, 108, 7, 9, 0], [0, 8, 15, 81, 253, 124, 574, 118, 274, 52, 35, 1, 1], [0, 8, 15, 82, 245, 152, 518, 188, 218, 80, 27, 2, 1], [0, 8, 15, 83, 237, 180, 462, 258, 162, 108, 19, 3, 1], [0, 8, 15, 84, 229, 208, 406, 328, 106, 136, 11, 4, 1], [0, 8, 15, 85, 221, 236, 350, 398, 50, 164, 3, 5, 1], [0, 8, 16, 72, 288, 48, 672, 48, 288, 72, 16, 8, 0], [0, 8, 16, 73, 280, 76, 616, 118, 232, 100, 8, 9, 0], [0, 8, 16, 73, 281, 68, 644, 62, 302, 44, 36, 1, 1], [0, 8, 16, 74, 272, 104, 560, 188, 176, 128, 0, 10, 0], [0, 8, 16, 74, 273, 96, 588, 132, 246, 72, 28, 2, 1], [0, 8, 16, 75, 265, 124, 532, 202, 190, 100, 20, 3, 1], [0, 8, 16, 76, 257, 152, 476, 272, 134, 128, 12, 4, 1], [0, 8, 16, 77, 249, 180, 420, 342, 78, 156, 4, 5, 1], [0, 8, 17, 65, 308, 20, 686, 62, 260, 92, 9, 9, 0], [0, 8, 17, 65, 309, 12, 714, 6, 330, 36, 37, 1, 1], [0, 8, 17, 66, 300, 48, 630, 132, 204, 120, 1, 10, 0], [0, 8, 17, 66, 301, 40, 658, 76, 274, 64, 29, 2, 1], [0, 8, 17, 67, 293, 68, 602, 146, 218, 92, 21, 3, 1], [0, 8, 17, 68, 285, 96, 546, 216, 162, 120, 13, 4, 1], [0, 8, 17, 69, 277, 124, 490, 286, 106, 148, 5, 5, 1], [0, 8, 17, 72, 254, 200, 350, 440, 8, 176, 9, 0, 2], [0, 8, 18, 59, 321, 12, 672, 90, 246, 84, 22, 3, 1], [0, 8, 18, 60, 313, 40, 616, 160, 190, 112, 14, 4, 1], [0, 8, 18, 61, 305, 68, 560, 230, 134, 140, 6, 5, 1], [0, 8, 18, 64, 282, 144, 420, 384, 36, 168, 10, 0, 2], [0, 8, 19, 53, 333, 12, 630, 174, 162, 132, 7, 5, 1], [0, 8, 19, 56, 310, 88, 490, 328, 64, 160, 11, 0, 2], [0, 8, 19, 57, 302, 116, 434, 398, 8, 188, 3, 1, 2], [0, 8, 20, 48, 338, 32, 560, 272, 92, 152, 12, 0, 2], [0, 8, 20, 49, 330, 60, 504, 342, 36, 180, 4, 1, 2], [0, 8, 21, 41, 358, 4, 574, 286, 64, 172, 5, 1, 2], [0, 9, 0, 160, 40, 454, 280, 244, 280, 25, 40, 4, 0], [0, 9, 0, 161, 32, 482, 224, 314, 224, 53, 32, 5, 0], [0, 9, 0, 162, 24, 510, 168, 384, 168, 81, 24, 6, 0], [0, 9, 0, 163, 16, 538, 112, 454, 112, 109, 16, 7, 0], [0, 9, 0, 164, 8, 566, 56, 524, 56, 137, 8, 8, 0], [0, 9, 0, 164, 9, 558, 84, 468, 126, 81, 36, 0, 1], [0, 9, 0, 165, 0, 594, 0, 594, 0, 165, 0, 9, 0], [0, 9, 0, 165, 1, 586, 28, 538, 70, 109, 28, 1, 1], [0, 9, 1, 152, 68, 398, 350, 188, 308, 17, 41, 4, 0], [0, 9, 1, 153, 60, 426, 294, 258, 252, 45, 33, 5, 0], [0, 9, 1, 154, 52, 454, 238, 328, 196, 73, 25, 6, 0], [0, 9, 1, 155, 44, 482, 182, 398, 140, 101, 17, 7, 0], [0, 9, 1, 156, 36, 510, 126, 468, 84, 129, 9, 8, 0], [0, 9, 1, 156, 37, 502, 154, 412, 154, 73, 37, 0, 1], [0, 9, 1, 157, 28, 538, 70, 538, 28, 157, 1, 9, 0], [0, 9, 1, 157, 29, 530, 98, 482, 98, 101, 29, 1, 1], [0, 9, 1, 158, 21, 558, 42, 552, 42, 129, 21, 2, 1], [0, 9, 2, 144, 96, 342, 420, 132, 336, 9, 42, 4, 0], [0, 9, 2, 145, 88, 370, 364, 202, 280, 37, 34, 5, 0], [0, 9, 2, 146, 80, 398, 308, 272, 224, 65, 26, 6, 0], [0, 9, 2, 147, 72, 426, 252, 342, 168, 93, 18, 7, 0], [0, 9, 2, 148, 64, 454, 196, 412, 112, 121, 10, 8, 0], [0, 9, 2, 148, 65, 446, 224, 356, 182, 65, 38, 0, 1], [0, 9, 2, 149, 56, 482, 140, 482, 56, 149, 2, 9, 0], [0, 9, 2, 149, 57, 474, 168, 426, 126, 93, 30, 1, 1], [0, 9, 2, 150, 49, 502, 112, 496, 70, 121, 22, 2, 1], [0, 9, 2, 151, 41, 530, 56, 566, 14, 149, 14, 3, 1], [0, 9, 3, 136, 124, 286, 490, 76, 364, 1, 43, 4, 0], [0, 9, 3, 137, 116, 314, 434, 146, 308, 29, 35, 5, 0], [0, 9, 3, 138, 108, 342, 378, 216, 252, 57, 27, 6, 0], [0, 9, 3, 139, 100, 370, 322, 286, 196, 85, 19, 7, 0], [0, 9, 3, 140, 92, 398, 266, 356, 140, 113, 11, 8, 0], [0, 9, 3, 140, 93, 390, 294, 300, 210, 57, 39, 0, 1], [0, 9, 3, 141, 84, 426, 210, 426, 84, 141, 3, 9, 0], [0, 9, 3, 141, 85, 418, 238, 370, 154, 85, 31, 1, 1], [0, 9, 3, 142, 77, 446, 182, 440, 98, 113, 23, 2, 1], [0, 9, 3, 143, 69, 474, 126, 510, 42, 141, 15, 3, 1], [0, 9, 4, 129, 144, 258, 504, 90, 336, 21, 36, 5, 0], [0, 9, 4, 130, 136, 286, 448, 160, 280, 49, 28, 6, 0], [0, 9, 4, 131, 128, 314, 392, 230, 224, 77, 20, 7, 0], [0, 9, 4, 132, 120, 342, 336, 300, 168, 105, 12, 8, 0], [0, 9, 4, 132, 121, 334, 364, 244, 238, 49, 40, 0, 1], [0, 9, 4, 133, 112, 370, 280, 370, 112, 133, 4, 9, 0], [0, 9, 4, 133, 113, 362, 308, 314, 182, 77, 32, 1, 1], [0, 9, 4, 134, 105, 390, 252, 384, 126, 105, 24, 2, 1], [0, 9, 4, 135, 97, 418, 196, 454, 70, 133, 16, 3, 1], [0, 9, 4, 136, 89, 446, 140, 524, 14, 161, 8, 4, 1], [0, 9, 5, 121, 172, 202, 574, 34, 364, 13, 37, 5, 0], [0, 9, 5, 122, 164, 230, 518, 104, 308, 41, 29, 6, 0], [0, 9, 5, 123, 156, 258, 462, 174, 252, 69, 21, 7, 0], [0, 9, 5, 124, 148, 286, 406, 244, 196, 97, 13, 8, 0], [0, 9, 5, 124, 149, 278, 434, 188, 266, 41, 41, 0, 1], [0, 9, 5, 125, 140, 314, 350, 314, 140, 125, 5, 9, 0], [0, 9, 5, 125, 141, 306, 378, 258, 210, 69, 33, 1, 1], [0, 9, 5, 126, 133, 334, 322, 328, 154, 97, 25, 2, 1], [0, 9, 5, 127, 125, 362, 266, 398, 98, 125, 17, 3, 1], [0, 9, 5, 128, 117, 390, 210, 468, 42, 153, 9, 4, 1], [0, 9, 6, 114, 192, 174, 588, 48, 336, 33, 30, 6, 0], [0, 9, 6, 115, 184, 202, 532, 118, 280, 61, 22, 7, 0], [0, 9, 6, 116, 176, 230, 476, 188, 224, 89, 14, 8, 0], [0, 9, 6, 116, 177, 222, 504, 132, 294, 33, 42, 0, 1], [0, 9, 6, 117, 168, 258, 420, 258, 168, 117, 6, 9, 0], [0, 9, 6, 117, 169, 250, 448, 202, 238, 61, 34, 1, 1], [0, 9, 6, 118, 161, 278, 392, 272, 182, 89, 26, 2, 1], [0, 9, 6, 119, 153, 306, 336, 342, 126, 117, 18, 3, 1], [0, 9, 6, 120, 145, 334, 280, 412, 70, 145, 10, 4, 1], [0, 9, 6, 121, 137, 362, 224, 482, 14, 173, 2, 5, 1], [0, 9, 7, 107, 212, 146, 602, 62, 308, 53, 23, 7, 0], [0, 9, 7, 108, 204, 174, 546, 132, 252, 81, 15, 8, 0], [0, 9, 7, 108, 205, 166, 574, 76, 322, 25, 43, 0, 1], [0, 9, 7, 109, 196, 202, 490, 202, 196, 109, 7, 9, 0], [0, 9, 7, 109, 197, 194, 518, 146, 266, 53, 35, 1, 1], [0, 9, 7, 110, 189, 222, 462, 216, 210, 81, 27, 2, 1], [0, 9, 7, 111, 181, 250, 406, 286, 154, 109, 19, 3, 1], [0, 9, 7, 112, 173, 278, 350, 356, 98, 137, 11, 4, 1], [0, 9, 7, 113, 165, 306, 294, 426, 42, 165, 3, 5, 1], [0, 9, 8, 99, 240, 90, 672, 6, 336, 45, 24, 7, 0], [0, 9, 8, 100, 232, 118, 616, 76, 280, 73, 16, 8, 0], [0, 9, 8, 100, 233, 110, 644, 20, 350, 17, 44, 0, 1], [0, 9, 8, 101, 224, 146, 560, 146, 224, 101, 8, 9, 0], [0, 9, 8, 101, 225, 138, 588, 90, 294, 45, 36, 1, 1], [0, 9, 8, 102, 216, 174, 504, 216, 168, 129, 0, 10, 0], [0, 9, 8, 102, 217, 166, 532, 160, 238, 73, 28, 2, 1], [0, 9, 8, 103, 209, 194, 476, 230, 182, 101, 20, 3, 1], [0, 9, 8, 104, 201, 222, 420, 300, 126, 129, 12, 4, 1], [0, 9, 8, 105, 193, 250, 364, 370, 70, 157, 4, 5, 1], [0, 9, 9, 92, 260, 62, 686, 20, 308, 65, 17, 8, 0], [0, 9, 9, 93, 252, 90, 630, 90, 252, 93, 9, 9, 0], [0, 9, 9, 93, 253, 82, 658, 34, 322, 37, 37, 1, 1], [0, 9, 9, 94, 244, 118, 574, 160, 196, 121, 1, 10, 0], [0, 9, 9, 94, 245, 110, 602, 104, 266, 65, 29, 2, 1], [0, 9, 9, 95, 237, 138, 546, 174, 210, 93, 21, 3, 1], [0, 9, 9, 96, 229, 166, 490, 244, 154, 121, 13, 4, 1], [0, 9, 9, 97, 221, 194, 434, 314, 98, 149, 5, 5, 1], [0, 9, 9, 100, 198, 270, 294, 468, 0, 177, 9, 0, 2], [0, 9, 10, 85, 280, 34, 700, 34, 280, 85, 10, 9, 0], [0, 9, 10, 86, 272, 62, 644, 104, 224, 113, 2, 10, 0], [0, 9, 10, 86, 273, 54, 672, 48, 294, 57, 30, 2, 1], [0, 9, 10, 87, 265, 82, 616, 118, 238, 85, 22, 3, 1], [0, 9, 10, 88, 257, 110, 560, 188, 182, 113, 14, 4, 1], [0, 9, 10, 89, 249, 138, 504, 258, 126, 141, 6, 5, 1], [0, 9, 10, 92, 226, 214, 364, 412, 28, 169, 10, 0, 2], [0, 9, 11, 78, 300, 6, 714, 48, 252, 105, 3, 10, 0], [0, 9, 11, 79, 293, 26, 686, 62, 266, 77, 23, 3, 1], [0, 9, 11, 80, 285, 54, 630, 132, 210, 105, 15, 4, 1], [0, 9, 11, 81, 277, 82, 574, 202, 154, 133, 7, 5, 1], [0, 9, 11, 84, 254, 158, 434, 356, 56, 161, 11, 0, 2], [0, 9, 11, 85, 246, 186, 378, 426, 0, 189, 3, 1, 2], [0, 9, 12, 73, 305, 26, 644, 146, 182, 125, 8, 5, 1], [0, 9, 12, 74, 297, 54, 588, 216, 126, 153, 0, 6, 1], [0, 9, 12, 76, 282, 102, 504, 300, 84, 153, 12, 0, 2], [0, 9, 12, 77, 274, 130, 448, 370, 28, 181, 4, 1, 2], [0, 9, 13, 68, 310, 46, 574, 244, 112, 145, 13, 0, 2], [0, 9, 13, 69, 302, 74, 518, 314, 56, 173, 5, 1, 2], [0, 9, 14, 61, 330, 18, 588, 258, 84, 165, 6, 1, 2], [0, 10, 0, 127, 184, 160, 616, 34, 328, 46, 24, 7, 0], [0, 10, 0, 128, 176, 188, 560, 104, 272, 74, 16, 8, 0], [0, 10, 0, 128, 177, 180, 588, 48, 342, 18, 44, 0, 1], [0, 10, 0, 129, 168, 216, 504, 174, 216, 102, 8, 9, 0], [0, 10, 0, 129, 169, 208, 532, 118, 286, 46, 36, 1, 1], [0, 10, 0, 130, 160, 244, 448, 244, 160, 130, 0, 10, 0], [0, 10, 0, 130, 161, 236, 476, 188, 230, 74, 28, 2, 1], [0, 10, 0, 131, 153, 264, 420, 258, 174, 102, 20, 3, 1], [0, 10, 0, 132, 145, 292, 364, 328, 118, 130, 12, 4, 1], [0, 10, 0, 133, 137, 320, 308, 398, 62, 158, 4, 5, 1], [0, 10, 1, 120, 204, 132, 630, 48, 300, 66, 17, 8, 0], [0, 10, 1, 121, 196, 160, 574, 118, 244, 94, 9, 9, 0], [0, 10, 1, 121, 197, 152, 602, 62, 314, 38, 37, 1, 1], [0, 10, 1, 122, 188, 188, 518, 188, 188, 122, 1, 10, 0], [0, 10, 1, 122, 189, 180, 546, 132, 258, 66, 29, 2, 1], [0, 10, 1, 123, 181, 208, 490, 202, 202, 94, 21, 3, 1], [0, 10, 1, 124, 173, 236, 434, 272, 146, 122, 13, 4, 1], [0, 10, 1, 125, 165, 264, 378, 342, 90, 150, 5, 5, 1], [0, 10, 2, 113, 224, 104, 644, 62, 272, 86, 10, 9, 0], [0, 10, 2, 113, 225, 96, 672, 6, 342, 30, 38, 1, 1], [0, 10, 2, 114, 216, 132, 588, 132, 216, 114, 2, 10, 0], [0, 10, 2, 114, 217, 124, 616, 76, 286, 58, 30, 2, 1], [0, 10, 2, 115, 209, 152, 560, 146, 230, 86, 22, 3, 1], [0, 10, 2, 116, 201, 180, 504, 216, 174, 114, 14, 4, 1], [0, 10, 2, 117, 193, 208, 448, 286, 118, 142, 6, 5, 1], [0, 10, 2, 120, 170, 284, 308, 440, 20, 170, 10, 0, 2], [0, 10, 3, 105, 252, 48, 714, 6, 300, 78, 11, 9, 0], [0, 10, 3, 106, 244, 76, 658, 76, 244, 106, 3, 10, 0], [0, 10, 3, 106, 245, 68, 686, 20, 314, 50, 31, 2, 1], [0, 10, 3, 107, 237, 96, 630, 90, 258, 78, 23, 3, 1], [0, 10, 3, 108, 229, 124, 574, 160, 202, 106, 15, 4, 1], [0, 10, 3, 109, 221, 152, 518, 230, 146, 134, 7, 5, 1], [0, 10, 3, 112, 198, 228, 378, 384, 48, 162, 11, 0, 2], [0, 10, 4, 98, 272, 20, 728, 20, 272, 98, 4, 10, 0], [0, 10, 4, 99, 265, 40, 700, 34, 286, 70, 24, 3, 1], [0, 10, 4, 100, 257, 68, 644, 104, 230, 98, 16, 4, 1], [0, 10, 4, 101, 249, 96, 588, 174, 174, 126, 8, 5, 1], [0, 10, 4, 102, 241, 124, 532, 244, 118, 154, 0, 6, 1], [0, 10, 4, 104, 226, 172, 448, 328, 76, 154, 12, 0, 2], [0, 10, 4, 105, 218, 200, 392, 398, 20, 182, 4, 1, 2], [0, 10, 5, 92, 285, 12, 714, 48, 258, 90, 17, 4, 1], [0, 10, 5, 93, 277, 40, 658, 118, 202, 118, 9, 5, 1], [0, 10, 5, 94, 269, 68, 602, 188, 146, 146, 1, 6, 1], [0, 10, 5, 96, 254, 116, 518, 272, 104, 146, 13, 0, 2], [0, 10, 5, 97, 246, 144, 462, 342, 48, 174, 5, 1, 2], [0, 10, 6, 86, 297, 12, 672, 132, 174, 138, 2, 6, 1], [0, 10, 6, 88, 282, 60, 588, 216, 132, 138, 14, 0, 2], [0, 10, 6, 89, 274, 88, 532, 286, 76, 166, 6, 1, 2], [0, 10, 7, 80, 310, 4, 658, 160, 160, 130, 15, 0, 2], [0, 10, 7, 81, 302, 32, 602, 230, 104, 158, 7, 1, 2], [0, 10, 8, 74, 322, 4, 616, 244, 76, 178, 0, 2, 2], [0, 11, 0, 100, 282, 18, 672, 132, 180, 123, 16, 0, 2], [0, 11, 0, 101, 274, 46, 616, 202, 124, 151, 8, 1, 2], [0, 11, 0, 102, 266, 74, 560, 272, 68, 179, 0, 2, 2], [0, 11, 1, 94, 294, 18, 630, 216, 96, 171, 1, 2, 2]} (13, 1536, 7) has 3197 possible DDs: {[0, 0, 24, 72, 0, 480, 192, 192, 480, 0, 72, 24, 0, 0], [0, 0, 25, 65, 20, 452, 206, 206, 452, 20, 65, 25, 0, 0], [0, 0, 25, 66, 12, 480, 150, 276, 396, 48, 57, 26, 0, 0], [0, 0, 25, 67, 4, 508, 94, 346, 340, 76, 49, 27, 0, 0], [0, 0, 25, 67, 5, 500, 122, 290, 410, 20, 77, 19, 1, 0], [0, 0, 26, 57, 48, 396, 276, 150, 480, 12, 66, 25, 0, 0], [0, 0, 26, 58, 40, 424, 220, 220, 424, 40, 58, 26, 0, 0], [0, 0, 26, 59, 32, 452, 164, 290, 368, 68, 50, 27, 0, 0], [0, 0, 26, 59, 33, 444, 192, 234, 438, 12, 78, 19, 1, 0], [0, 0, 26, 60, 24, 480, 108, 360, 312, 96, 42, 28, 0, 0], [0, 0, 26, 60, 25, 472, 136, 304, 382, 40, 70, 20, 1, 0], [0, 0, 26, 61, 16, 508, 52, 430, 256, 124, 34, 29, 0, 0], [0, 0, 26, 61, 17, 500, 80, 374, 326, 68, 62, 21, 1, 0], [0, 0, 26, 61, 18, 492, 108, 318, 396, 12, 90, 13, 2, 0], [0, 0, 26, 62, 9, 528, 24, 444, 270, 96, 54, 22, 1, 0], [0, 0, 26, 62, 10, 520, 52, 388, 340, 40, 82, 14, 2, 0], [0, 0, 26, 63, 3, 540, 24, 402, 354, 12, 102, 7, 3, 0], [0, 0, 27, 49, 76, 340, 346, 94, 508, 4, 67, 25, 0, 0], [0, 0, 27, 50, 68, 368, 290, 164, 452, 32, 59, 26, 0, 0], [0, 0, 27, 51, 60, 396, 234, 234, 396, 60, 51, 27, 0, 0], [0, 0, 27, 51, 61, 388, 262, 178, 466, 4, 79, 19, 1, 0], [0, 0, 27, 52, 52, 424, 178, 304, 340, 88, 43, 28, 0, 0], [0, 0, 27, 52, 53, 416, 206, 248, 410, 32, 71, 20, 1, 0], [0, 0, 27, 53, 44, 452, 122, 374, 284, 116, 35, 29, 0, 0], [0, 0, 27, 53, 45, 444, 150, 318, 354, 60, 63, 21, 1, 0], [0, 0, 27, 53, 46, 436, 178, 262, 424, 4, 91, 13, 2, 0], [0, 0, 27, 54, 36, 480, 66, 444, 228, 144, 27, 30, 0, 0], [0, 0, 27, 54, 37, 472, 94, 388, 298, 88, 55, 22, 1, 0], [0, 0, 27, 54, 38, 464, 122, 332, 368, 32, 83, 14, 2, 0], [0, 0, 27, 55, 28, 508, 10, 514, 172, 172, 19, 31, 0, 0], [0, 0, 27, 55, 29, 500, 38, 458, 242, 116, 47, 23, 1, 0], [0, 0, 27, 55, 30, 492, 66, 402, 312, 60, 75, 15, 2, 0], [0, 0, 27, 55, 31, 484, 94, 346, 382, 4, 103, 7, 3, 0], [0, 0, 27, 56, 22, 520, 10, 472, 256, 88, 67, 16, 2, 0], [0, 0, 27, 56, 23, 512, 38, 416, 326, 32, 95, 8, 3, 0], [0, 0, 27, 57, 16, 532, 10, 430, 340, 4, 115, 1, 4, 0], [0, 0, 28, 42, 96, 312, 360, 108, 480, 24, 60, 26, 0, 0], [0, 0, 28, 43, 88, 340, 304, 178, 424, 52, 52, 27, 0, 0], [0, 0, 28, 44, 80, 368, 248, 248, 368, 80, 44, 28, 0, 0], [0, 0, 28, 44, 81, 360, 276, 192, 438, 24, 72, 20, 1, 0], [0, 0, 28, 45, 72, 396, 192, 318, 312, 108, 36, 29, 0, 0], [0, 0, 28, 45, 73, 388, 220, 262, 382, 52, 64, 21, 1, 0], [0, 0, 28, 46, 64, 424, 136, 388, 256, 136, 28, 30, 0, 0], [0, 0, 28, 46, 65, 416, 164, 332, 326, 80, 56, 22, 1, 0], [0, 0, 28, 46, 66, 408, 192, 276, 396, 24, 84, 14, 2, 0], [0, 0, 28, 47, 56, 452, 80, 458, 200, 164, 20, 31, 0, 0], [0, 0, 28, 47, 57, 444, 108, 402, 270, 108, 48, 23, 1, 0], [0, 0, 28, 47, 58, 436, 136, 346, 340, 52, 76, 15, 2, 0], [0, 0, 28, 48, 48, 480, 24, 528, 144, 192, 12, 32, 0, 0], [0, 0, 28, 48, 49, 472, 52, 472, 214, 136, 40, 24, 1, 0], [0, 0, 28, 48, 50, 464, 80, 416, 284, 80, 68, 16, 2, 0], [0, 0, 28, 48, 51, 456, 108, 360, 354, 24, 96, 8, 3, 0], [0, 0, 28, 49, 42, 492, 24, 486, 228, 108, 60, 17, 2, 0], [0, 0, 28, 49, 43, 484, 52, 430, 298, 52, 88, 9, 3, 0], [0, 0, 28, 50, 36, 504, 24, 444, 312, 24, 108, 2, 4, 0], [0, 0, 29, 34, 124, 256, 430, 52, 508, 16, 61, 26, 0, 0], [0, 0, 29, 35, 116, 284, 374, 122, 452, 44, 53, 27, 0, 0], [0, 0, 29, 36, 108, 312, 318, 192, 396, 72, 45, 28, 0, 0], [0, 0, 29, 36, 109, 304, 346, 136, 466, 16, 73, 20, 1, 0], [0, 0, 29, 37, 100, 340, 262, 262, 340, 100, 37, 29, 0, 0], [0, 0, 29, 37, 101, 332, 290, 206, 410, 44, 65, 21, 1, 0], [0, 0, 29, 38, 92, 368, 206, 332, 284, 128, 29, 30, 0, 0], [0, 0, 29, 38, 93, 360, 234, 276, 354, 72, 57, 22, 1, 0], [0, 0, 29, 38, 94, 352, 262, 220, 424, 16, 85, 14, 2, 0], [0, 0, 29, 39, 84, 396, 150, 402, 228, 156, 21, 31, 0, 0], [0, 0, 29, 39, 85, 388, 178, 346, 298, 100, 49, 23, 1, 0], [0, 0, 29, 39, 86, 380, 206, 290, 368, 44, 77, 15, 2, 0], [0, 0, 29, 40, 76, 424, 94, 472, 172, 184, 13, 32, 0, 0], [0, 0, 29, 40, 77, 416, 122, 416, 242, 128, 41, 24, 1, 0], [0, 0, 29, 40, 78, 408, 150, 360, 312, 72, 69, 16, 2, 0], [0, 0, 29, 40, 79, 400, 178, 304, 382, 16, 97, 8, 3, 0], [0, 0, 29, 41, 68, 452, 38, 542, 116, 212, 5, 33, 0, 0], [0, 0, 29, 41, 69, 444, 66, 486, 186, 156, 33, 25, 1, 0], [0, 0, 29, 41, 70, 436, 94, 430, 256, 100, 61, 17, 2, 0], [0, 0, 29, 41, 71, 428, 122, 374, 326, 44, 89, 9, 3, 0], [0, 0, 29, 42, 61, 472, 10, 556, 130, 184, 25, 26, 1, 0], [0, 0, 29, 42, 62, 464, 38, 500, 200, 128, 53, 18, 2, 0], [0, 0, 29, 42, 63, 456, 66, 444, 270, 72, 81, 10, 3, 0], [0, 0, 29, 42, 64, 448, 94, 388, 340, 16, 109, 2, 4, 0], [0, 0, 29, 43, 55, 484, 10, 514, 214, 100, 73, 11, 3, 0], [0, 0, 29, 43, 56, 476, 38, 458, 284, 44, 101, 3, 4, 0], [0, 0, 30, 27, 144, 228, 444, 66, 480, 36, 54, 27, 0, 0], [0, 0, 30, 28, 136, 256, 388, 136, 424, 64, 46, 28, 0, 0], [0, 0, 30, 28, 137, 248, 416, 80, 494, 8, 74, 20, 1, 0], [0, 0, 30, 29, 128, 284, 332, 206, 368, 92, 38, 29, 0, 0], [0, 0, 30, 29, 129, 276, 360, 150, 438, 36, 66, 21, 1, 0], [0, 0, 30, 30, 120, 312, 276, 276, 312, 120, 30, 30, 0, 0], [0, 0, 30, 30, 121, 304, 304, 220, 382, 64, 58, 22, 1, 0], [0, 0, 30, 30, 122, 296, 332, 164, 452, 8, 86, 14, 2, 0], [0, 0, 30, 31, 112, 340, 220, 346, 256, 148, 22, 31, 0, 0], [0, 0, 30, 31, 113, 332, 248, 290, 326, 92, 50, 23, 1, 0], [0, 0, 30, 31, 114, 324, 276, 234, 396, 36, 78, 15, 2, 0], [0, 0, 30, 32, 104, 368, 164, 416, 200, 176, 14, 32, 0, 0], [0, 0, 30, 32, 105, 360, 192, 360, 270, 120, 42, 24, 1, 0], [0, 0, 30, 32, 106, 352, 220, 304, 340, 64, 70, 16, 2, 0], [0, 0, 30, 32, 107, 344, 248, 248, 410, 8, 98, 8, 3, 0], [0, 0, 30, 33, 96, 396, 108, 486, 144, 204, 6, 33, 0, 0], [0, 0, 30, 33, 97, 388, 136, 430, 214, 148, 34, 25, 1, 0], [0, 0, 30, 33, 98, 380, 164, 374, 284, 92, 62, 17, 2, 0], [0, 0, 30, 33, 99, 372, 192, 318, 354, 36, 90, 9, 3, 0], [0, 0, 30, 34, 89, 416, 80, 500, 158, 176, 26, 26, 1, 0], [0, 0, 30, 34, 90, 408, 108, 444, 228, 120, 54, 18, 2, 0], [0, 0, 30, 34, 91, 400, 136, 388, 298, 64, 82, 10, 3, 0], [0, 0, 30, 34, 92, 392, 164, 332, 368, 8, 110, 2, 4, 0], [0, 0, 30, 35, 81, 444, 24, 570, 102, 204, 18, 27, 1, 0], [0, 0, 30, 35, 82, 436, 52, 514, 172, 148, 46, 19, 2, 0], [0, 0, 30, 35, 83, 428, 80, 458, 242, 92, 74, 11, 3, 0], [0, 0, 30, 35, 84, 420, 108, 402, 312, 36, 102, 3, 4, 0], [0, 0, 30, 36, 75, 456, 24, 528, 186, 120, 66, 12, 3, 0], [0, 0, 30, 36, 76, 448, 52, 472, 256, 64, 94, 4, 4, 0], [0, 0, 31, 19, 172, 172, 514, 10, 508, 28, 55, 27, 0, 0], [0, 0, 31, 20, 164, 200, 458, 80, 452, 56, 47, 28, 0, 0], [0, 0, 31, 20, 165, 192, 486, 24, 522, 0, 75, 20, 1, 0], [0, 0, 31, 21, 156, 228, 402, 150, 396, 84, 39, 29, 0, 0], [0, 0, 31, 21, 157, 220, 430, 94, 466, 28, 67, 21, 1, 0], [0, 0, 31, 22, 148, 256, 346, 220, 340, 112, 31, 30, 0, 0], [0, 0, 31, 22, 149, 248, 374, 164, 410, 56, 59, 22, 1, 0], [0, 0, 31, 22, 150, 240, 402, 108, 480, 0, 87, 14, 2, 0], [0, 0, 31, 23, 140, 284, 290, 290, 284, 140, 23, 31, 0, 0], [0, 0, 31, 23, 141, 276, 318, 234, 354, 84, 51, 23, 1, 0], [0, 0, 31, 23, 142, 268, 346, 178, 424, 28, 79, 15, 2, 0], [0, 0, 31, 24, 132, 312, 234, 360, 228, 168, 15, 32, 0, 0], [0, 0, 31, 24, 133, 304, 262, 304, 298, 112, 43, 24, 1, 0], [0, 0, 31, 24, 134, 296, 290, 248, 368, 56, 71, 16, 2, 0], [0, 0, 31, 24, 135, 288, 318, 192, 438, 0, 99, 8, 3, 0], [0, 0, 31, 25, 124, 340, 178, 430, 172, 196, 7, 33, 0, 0], [0, 0, 31, 25, 125, 332, 206, 374, 242, 140, 35, 25, 1, 0], [0, 0, 31, 25, 126, 324, 234, 318, 312, 84, 63, 17, 2, 0], [0, 0, 31, 25, 127, 316, 262, 262, 382, 28, 91, 9, 3, 0], [0, 0, 31, 26, 117, 360, 150, 444, 186, 168, 27, 26, 1, 0], [0, 0, 31, 26, 118, 352, 178, 388, 256, 112, 55, 18, 2, 0], [0, 0, 31, 26, 119, 344, 206, 332, 326, 56, 83, 10, 3, 0], [0, 0, 31, 26, 120, 336, 234, 276, 396, 0, 111, 2, 4, 0], [0, 0, 31, 27, 109, 388, 94, 514, 130, 196, 19, 27, 1, 0], [0, 0, 31, 27, 110, 380, 122, 458, 200, 140, 47, 19, 2, 0], [0, 0, 31, 27, 111, 372, 150, 402, 270, 84, 75, 11, 3, 0], [0, 0, 31, 27, 112, 364, 178, 346, 340, 28, 103, 3, 4, 0], [0, 0, 31, 28, 101, 416, 38, 584, 74, 224, 11, 28, 1, 0], [0, 0, 31, 28, 102, 408, 66, 528, 144, 168, 39, 20, 2, 0], [0, 0, 31, 28, 103, 400, 94, 472, 214, 112, 67, 12, 3, 0], [0, 0, 31, 28, 104, 392, 122, 416, 284, 56, 95, 4, 4, 0], [0, 0, 31, 29, 94, 436, 10, 598, 88, 196, 31, 21, 2, 0], [0, 0, 31, 29, 95, 428, 38, 542, 158, 140, 59, 13, 3, 0], [0, 0, 31, 29, 96, 420, 66, 486, 228, 84, 87, 5, 4, 0], [0, 0, 31, 30, 88, 448, 10, 556, 172, 112, 79, 6, 4, 0], [0, 0, 31, 32, 76, 473, 2, 500, 284, 14, 119, 4, 0, 1], [0, 0, 32, 12, 192, 144, 528, 24, 480, 48, 48, 28, 0, 0], [0, 0, 32, 13, 184, 172, 472, 94, 424, 76, 40, 29, 0, 0], [0, 0, 32, 13, 185, 164, 500, 38, 494, 20, 68, 21, 1, 0], [0, 0, 32, 14, 176, 200, 416, 164, 368, 104, 32, 30, 0, 0], [0, 0, 32, 14, 177, 192, 444, 108, 438, 48, 60, 22, 1, 0], [0, 0, 32, 15, 168, 228, 360, 234, 312, 132, 24, 31, 0, 0], [0, 0, 32, 15, 169, 220, 388, 178, 382, 76, 52, 23, 1, 0], [0, 0, 32, 15, 170, 212, 416, 122, 452, 20, 80, 15, 2, 0], [0, 0, 32, 16, 160, 256, 304, 304, 256, 160, 16, 32, 0, 0], [0, 0, 32, 16, 161, 248, 332, 248, 326, 104, 44, 24, 1, 0], [0, 0, 32, 16, 162, 240, 360, 192, 396, 48, 72, 16, 2, 0], [0, 0, 32, 17, 152, 284, 248, 374, 200, 188, 8, 33, 0, 0], [0, 0, 32, 17, 153, 276, 276, 318, 270, 132, 36, 25, 1, 0], [0, 0, 32, 17, 154, 268, 304, 262, 340, 76, 64, 17, 2, 0], [0, 0, 32, 17, 155, 260, 332, 206, 410, 20, 92, 9, 3, 0], [0, 0, 32, 18, 144, 312, 192, 444, 144, 216, 0, 34, 0, 0], [0, 0, 32, 18, 145, 304, 220, 388, 214, 160, 28, 26, 1, 0], [0, 0, 32, 18, 146, 296, 248, 332, 284, 104, 56, 18, 2, 0], [0, 0, 32, 18, 147, 288, 276, 276, 354, 48, 84, 10, 3, 0], [0, 0, 32, 19, 137, 332, 164, 458, 158, 188, 20, 27, 1, 0], [0, 0, 32, 19, 138, 324, 192, 402, 228, 132, 48, 19, 2, 0], [0, 0, 32, 19, 139, 316, 220, 346, 298, 76, 76, 11, 3, 0], [0, 0, 32, 19, 140, 308, 248, 290, 368, 20, 104, 3, 4, 0], [0, 0, 32, 20, 129, 360, 108, 528, 102, 216, 12, 28, 1, 0], [0, 0, 32, 20, 130, 352, 136, 472, 172, 160, 40, 20, 2, 0], [0, 0, 32, 20, 131, 344, 164, 416, 242, 104, 68, 12, 3, 0], [0, 0, 32, 20, 132, 336, 192, 360, 312, 48, 96, 4, 4, 0], [0, 0, 32, 21, 121, 388, 52, 598, 46, 244, 4, 29, 1, 0], [0, 0, 32, 21, 122, 380, 80, 542, 116, 188, 32, 21, 2, 0], [0, 0, 32, 21, 123, 372, 108, 486, 186, 132, 60, 13, 3, 0], [0, 0, 32, 21, 124, 364, 136, 430, 256, 76, 88, 5, 4, 0], [0, 0, 32, 22, 114, 408, 24, 612, 60, 216, 24, 22, 2, 0], [0, 0, 32, 22, 115, 400, 52, 556, 130, 160, 52, 14, 3, 0], [0, 0, 32, 22, 116, 392, 80, 500, 200, 104, 80, 6, 4, 0], [0, 0, 32, 23, 108, 420, 24, 570, 144, 132, 72, 7, 4, 0], [0, 0, 32, 24, 104, 417, 72, 444, 312, 6, 120, 4, 0, 1], [0, 0, 32, 25, 96, 445, 16, 514, 256, 34, 112, 5, 0, 1], [0, 0, 33, 5, 212, 116, 542, 38, 452, 68, 41, 29, 0, 0], [0, 0, 33, 6, 204, 144, 486, 108, 396, 96, 33, 30, 0, 0], [0, 0, 33, 6, 205, 136, 514, 52, 466, 40, 61, 22, 1, 0], [0, 0, 33, 7, 196, 172, 430, 178, 340, 124, 25, 31, 0, 0], [0, 0, 33, 7, 197, 164, 458, 122, 410, 68, 53, 23, 1, 0], [0, 0, 33, 7, 198, 156, 486, 66, 480, 12, 81, 15, 2, 0], [0, 0, 33, 8, 188, 200, 374, 248, 284, 152, 17, 32, 0, 0], [0, 0, 33, 8, 189, 192, 402, 192, 354, 96, 45, 24, 1, 0], [0, 0, 33, 8, 190, 184, 430, 136, 424, 40, 73, 16, 2, 0], [0, 0, 33, 9, 180, 228, 318, 318, 228, 180, 9, 33, 0, 0], [0, 0, 33, 9, 181, 220, 346, 262, 298, 124, 37, 25, 1, 0], [0, 0, 33, 9, 182, 212, 374, 206, 368, 68, 65, 17, 2, 0], [0, 0, 33, 9, 183, 204, 402, 150, 438, 12, 93, 9, 3, 0], [0, 0, 33, 10, 172, 256, 262, 388, 172, 208, 1, 34, 0, 0], [0, 0, 33, 10, 173, 248, 290, 332, 242, 152, 29, 26, 1, 0], [0, 0, 33, 10, 174, 240, 318, 276, 312, 96, 57, 18, 2, 0], [0, 0, 33, 10, 175, 232, 346, 220, 382, 40, 85, 10, 3, 0], [0, 0, 33, 11, 165, 276, 234, 402, 186, 180, 21, 27, 1, 0], [0, 0, 33, 11, 166, 268, 262, 346, 256, 124, 49, 19, 2, 0], [0, 0, 33, 11, 167, 260, 290, 290, 326, 68, 77, 11, 3, 0], [0, 0, 33, 11, 168, 252, 318, 234, 396, 12, 105, 3, 4, 0], [0, 0, 33, 12, 157, 304, 178, 472, 130, 208, 13, 28, 1, 0], [0, 0, 33, 12, 158, 296, 206, 416, 200, 152, 41, 20, 2, 0], [0, 0, 33, 12, 159, 288, 234, 360, 270, 96, 69, 12, 3, 0], [0, 0, 33, 12, 160, 280, 262, 304, 340, 40, 97, 4, 4, 0], [0, 0, 33, 13, 149, 332, 122, 542, 74, 236, 5, 29, 1, 0], [0, 0, 33, 13, 150, 324, 150, 486, 144, 180, 33, 21, 2, 0], [0, 0, 33, 13, 151, 316, 178, 430, 214, 124, 61, 13, 3, 0], [0, 0, 33, 13, 152, 308, 206, 374, 284, 68, 89, 5, 4, 0], [0, 0, 33, 14, 142, 352, 94, 556, 88, 208, 25, 22, 2, 0], [0, 0, 33, 14, 143, 344, 122, 500, 158, 152, 53, 14, 3, 0], [0, 0, 33, 14, 144, 336, 150, 444, 228, 96, 81, 6, 4, 0], [0, 0, 33, 15, 134, 380, 38, 626, 32, 236, 17, 23, 2, 0], [0, 0, 33, 15, 135, 372, 66, 570, 102, 180, 45, 15, 3, 0], [0, 0, 33, 15, 136, 364, 94, 514, 172, 124, 73, 7, 4, 0], [0, 0, 33, 16, 127, 400, 10, 640, 46, 208, 37, 16, 3, 0], [0, 0, 33, 16, 128, 392, 38, 584, 116, 152, 65, 8, 4, 0], [0, 0, 33, 16, 129, 384, 66, 528, 186, 96, 93, 0, 5, 0], [0, 0, 33, 17, 121, 412, 10, 598, 130, 124, 85, 1, 5, 0], [0, 0, 33, 17, 124, 389, 86, 458, 284, 26, 113, 5, 0, 1], [0, 0, 33, 18, 116, 417, 30, 528, 228, 54, 105, 6, 0, 1], [0, 0, 34, 0, 216, 144, 444, 192, 312, 144, 18, 32, 0, 0], [0, 0, 34, 0, 217, 136, 472, 136, 382, 88, 46, 24, 1, 0], [0, 0, 34, 0, 218, 128, 500, 80, 452, 32, 74, 16, 2, 0], [0, 0, 34, 1, 208, 172, 388, 262, 256, 172, 10, 33, 0, 0], [0, 0, 34, 1, 209, 164, 416, 206, 326, 116, 38, 25, 1, 0], [0, 0, 34, 1, 210, 156, 444, 150, 396, 60, 66, 17, 2, 0], [0, 0, 34, 1, 211, 148, 472, 94, 466, 4, 94, 9, 3, 0], [0, 0, 34, 2, 200, 200, 332, 332, 200, 200, 2, 34, 0, 0], [0, 0, 34, 2, 201, 192, 360, 276, 270, 144, 30, 26, 1, 0], [0, 0, 34, 2, 202, 184, 388, 220, 340, 88, 58, 18, 2, 0], [0, 0, 34, 2, 203, 176, 416, 164, 410, 32, 86, 10, 3, 0], [0, 0, 34, 3, 193, 220, 304, 346, 214, 172, 22, 27, 1, 0], [0, 0, 34, 3, 194, 212, 332, 290, 284, 116, 50, 19, 2, 0], [0, 0, 34, 3, 195, 204, 360, 234, 354, 60, 78, 11, 3, 0], [0, 0, 34, 3, 196, 196, 388, 178, 424, 4, 106, 3, 4, 0], [0, 0, 34, 4, 185, 248, 248, 416, 158, 200, 14, 28, 1, 0], [0, 0, 34, 4, 186, 240, 276, 360, 228, 144, 42, 20, 2, 0], [0, 0, 34, 4, 187, 232, 304, 304, 298, 88, 70, 12, 3, 0], [0, 0, 34, 4, 188, 224, 332, 248, 368, 32, 98, 4, 4, 0], [0, 0, 34, 5, 177, 276, 192, 486, 102, 228, 6, 29, 1, 0], [0, 0, 34, 5, 178, 268, 220, 430, 172, 172, 34, 21, 2, 0], [0, 0, 34, 5, 179, 260, 248, 374, 242, 116, 62, 13, 3, 0], [0, 0, 34, 5, 180, 252, 276, 318, 312, 60, 90, 5, 4, 0], [0, 0, 34, 6, 170, 296, 164, 500, 116, 200, 26, 22, 2, 0], [0, 0, 34, 6, 171, 288, 192, 444, 186, 144, 54, 14, 3, 0], [0, 0, 34, 6, 172, 280, 220, 388, 256, 88, 82, 6, 4, 0], [0, 0, 34, 7, 162, 324, 108, 570, 60, 228, 18, 23, 2, 0], [0, 0, 34, 7, 163, 316, 136, 514, 130, 172, 46, 15, 3, 0], [0, 0, 34, 7, 164, 308, 164, 458, 200, 116, 74, 7, 4, 0], [0, 0, 34, 8, 154, 352, 52, 640, 4, 256, 10, 24, 2, 0], [0, 0, 34, 8, 155, 344, 80, 584, 74, 200, 38, 16, 3, 0], [0, 0, 34, 8, 156, 336, 108, 528, 144, 144, 66, 8, 4, 0], [0, 0, 34, 8, 157, 328, 136, 472, 214, 88, 94, 0, 5, 0], [0, 0, 34, 9, 147, 372, 24, 654, 18, 228, 30, 17, 3, 0], [0, 0, 34, 9, 148, 364, 52, 598, 88, 172, 58, 9, 4, 0], [0, 0, 34, 9, 149, 356, 80, 542, 158, 116, 86, 1, 5, 0], [0, 0, 34, 9, 152, 333, 156, 402, 312, 18, 114, 5, 0, 1], [0, 0, 34, 10, 141, 384, 24, 612, 102, 144, 78, 2, 5, 0], [0, 0, 34, 10, 144, 361, 100, 472, 256, 46, 106, 6, 0, 1], [0, 0, 34, 11, 136, 389, 44, 542, 200, 74, 98, 7, 0, 1], [0, 0, 34, 12, 129, 409, 16, 556, 214, 46, 118, 0, 1, 1], [0, 0, 35, 0, 182, 296, 122, 584, 32, 248, 11, 24, 2, 0], [0, 0, 35, 0, 183, 288, 150, 528, 102, 192, 39, 16, 3, 0], [0, 0, 35, 0, 184, 280, 178, 472, 172, 136, 67, 8, 4, 0], [0, 0, 35, 0, 185, 272, 206, 416, 242, 80, 95, 0, 5, 0], [0, 0, 35, 1, 175, 316, 94, 598, 46, 220, 31, 17, 3, 0], [0, 0, 35, 1, 176, 308, 122, 542, 116, 164, 59, 9, 4, 0], [0, 0, 35, 1, 177, 300, 150, 486, 186, 108, 87, 1, 5, 0], [0, 0, 35, 1, 180, 277, 226, 346, 340, 10, 115, 5, 0, 1], [0, 0, 35, 2, 168, 336, 66, 612, 60, 192, 51, 10, 4, 0], [0, 0, 35, 2, 169, 328, 94, 556, 130, 136, 79, 2, 5, 0], [0, 0, 35, 2, 172, 305, 170, 416, 284, 38, 107, 6, 0, 1], [0, 0, 35, 3, 160, 364, 10, 682, 4, 220, 43, 11, 4, 0], [0, 0, 35, 3, 161, 356, 38, 626, 74, 164, 71, 3, 5, 0], [0, 0, 35, 3, 164, 333, 114, 486, 228, 66, 99, 7, 0, 1], [0, 0, 35, 4, 156, 361, 58, 556, 172, 94, 91, 8, 0, 1], [0, 0, 35, 4, 157, 353, 86, 500, 242, 38, 119, 0, 1, 1], [0, 0, 35, 5, 148, 389, 2, 626, 116, 122, 83, 9, 0, 1], [0, 0, 35, 5, 149, 381, 30, 570, 186, 66, 111, 1, 1, 1], [0, 1, 19, 77, 20, 410, 290, 122, 500, 5, 67, 25, 0, 0], [0, 1, 19, 78, 12, 438, 234, 192, 444, 33, 59, 26, 0, 0], [0, 1, 19, 79, 4, 466, 178, 262, 388, 61, 51, 27, 0, 0], [0, 1, 19, 79, 5, 458, 206, 206, 458, 5, 79, 19, 1, 0], [0, 1, 20, 70, 40, 382, 304, 136, 472, 25, 60, 26, 0, 0], [0, 1, 20, 71, 32, 410, 248, 206, 416, 53, 52, 27, 0, 0], [0, 1, 20, 72, 24, 438, 192, 276, 360, 81, 44, 28, 0, 0], [0, 1, 20, 72, 25, 430, 220, 220, 430, 25, 72, 20, 1, 0], [0, 1, 20, 73, 16, 466, 136, 346, 304, 109, 36, 29, 0, 0], [0, 1, 20, 73, 17, 458, 164, 290, 374, 53, 64, 21, 1, 0], [0, 1, 20, 74, 8, 494, 80, 416, 248, 137, 28, 30, 0, 0], [0, 1, 20, 74, 9, 486, 108, 360, 318, 81, 56, 22, 1, 0], [0, 1, 20, 74, 10, 478, 136, 304, 388, 25, 84, 14, 2, 0], [0, 1, 20, 75, 0, 522, 24, 486, 192, 165, 20, 31, 0, 0], [0, 1, 20, 75, 1, 514, 52, 430, 262, 109, 48, 23, 1, 0], [0, 1, 20, 75, 2, 506, 80, 374, 332, 53, 76, 15, 2, 0], [0, 1, 21, 62, 68, 326, 374, 80, 500, 17, 61, 26, 0, 0], [0, 1, 21, 63, 60, 354, 318, 150, 444, 45, 53, 27, 0, 0], [0, 1, 21, 64, 52, 382, 262, 220, 388, 73, 45, 28, 0, 0], [0, 1, 21, 64, 53, 374, 290, 164, 458, 17, 73, 20, 1, 0], [0, 1, 21, 65, 44, 410, 206, 290, 332, 101, 37, 29, 0, 0], [0, 1, 21, 65, 45, 402, 234, 234, 402, 45, 65, 21, 1, 0], [0, 1, 21, 66, 36, 438, 150, 360, 276, 129, 29, 30, 0, 0], [0, 1, 21, 66, 37, 430, 178, 304, 346, 73, 57, 22, 1, 0], [0, 1, 21, 66, 38, 422, 206, 248, 416, 17, 85, 14, 2, 0], [0, 1, 21, 67, 28, 466, 94, 430, 220, 157, 21, 31, 0, 0], [0, 1, 21, 67, 29, 458, 122, 374, 290, 101, 49, 23, 1, 0], [0, 1, 21, 67, 30, 450, 150, 318, 360, 45, 77, 15, 2, 0], [0, 1, 21, 68, 20, 494, 38, 500, 164, 185, 13, 32, 0, 0], [0, 1, 21, 68, 21, 486, 66, 444, 234, 129, 41, 24, 1, 0], [0, 1, 21, 68, 22, 478, 94, 388, 304, 73, 69, 16, 2, 0], [0, 1, 21, 68, 23, 470, 122, 332, 374, 17, 97, 8, 3, 0], [0, 1, 21, 69, 13, 514, 10, 514, 178, 157, 33, 25, 1, 0], [0, 1, 21, 69, 14, 506, 38, 458, 248, 101, 61, 17, 2, 0], [0, 1, 21, 69, 15, 498, 66, 402, 318, 45, 89, 9, 3, 0], [0, 1, 21, 70, 7, 526, 10, 472, 262, 73, 81, 10, 3, 0], [0, 1, 21, 70, 8, 518, 38, 416, 332, 17, 109, 2, 4, 0], [0, 1, 22, 54, 96, 270, 444, 24, 528, 9, 62, 26, 0, 0], [0, 1, 22, 55, 88, 298, 388, 94, 472, 37, 54, 27, 0, 0], [0, 1, 22, 56, 80, 326, 332, 164, 416, 65, 46, 28, 0, 0], [0, 1, 22, 56, 81, 318, 360, 108, 486, 9, 74, 20, 1, 0], [0, 1, 22, 57, 72, 354, 276, 234, 360, 93, 38, 29, 0, 0], [0, 1, 22, 57, 73, 346, 304, 178, 430, 37, 66, 21, 1, 0], [0, 1, 22, 58, 64, 382, 220, 304, 304, 121, 30, 30, 0, 0], [0, 1, 22, 58, 65, 374, 248, 248, 374, 65, 58, 22, 1, 0], [0, 1, 22, 58, 66, 366, 276, 192, 444, 9, 86, 14, 2, 0], [0, 1, 22, 59, 56, 410, 164, 374, 248, 149, 22, 31, 0, 0], [0, 1, 22, 59, 57, 402, 192, 318, 318, 93, 50, 23, 1, 0], [0, 1, 22, 59, 58, 394, 220, 262, 388, 37, 78, 15, 2, 0], [0, 1, 22, 60, 48, 438, 108, 444, 192, 177, 14, 32, 0, 0], [0, 1, 22, 60, 49, 430, 136, 388, 262, 121, 42, 24, 1, 0], [0, 1, 22, 60, 50, 422, 164, 332, 332, 65, 70, 16, 2, 0], [0, 1, 22, 60, 51, 414, 192, 276, 402, 9, 98, 8, 3, 0], [0, 1, 22, 61, 40, 466, 52, 514, 136, 205, 6, 33, 0, 0], [0, 1, 22, 61, 41, 458, 80, 458, 206, 149, 34, 25, 1, 0], [0, 1, 22, 61, 42, 450, 108, 402, 276, 93, 62, 17, 2, 0], [0, 1, 22, 61, 43, 442, 136, 346, 346, 37, 90, 9, 3, 0], [0, 1, 22, 62, 33, 486, 24, 528, 150, 177, 26, 26, 1, 0], [0, 1, 22, 62, 34, 478, 52, 472, 220, 121, 54, 18, 2, 0], [0, 1, 22, 62, 35, 470, 80, 416, 290, 65, 82, 10, 3, 0], [0, 1, 22, 62, 36, 462, 108, 360, 360, 9, 110, 2, 4, 0], [0, 1, 22, 63, 27, 498, 24, 486, 234, 93, 74, 11, 3, 0], [0, 1, 22, 63, 28, 490, 52, 430, 304, 37, 102, 3, 4, 0], [0, 1, 23, 47, 116, 242, 458, 38, 500, 29, 55, 27, 0, 0], [0, 1, 23, 48, 108, 270, 402, 108, 444, 57, 47, 28, 0, 0], [0, 1, 23, 48, 109, 262, 430, 52, 514, 1, 75, 20, 1, 0], [0, 1, 23, 49, 100, 298, 346, 178, 388, 85, 39, 29, 0, 0], [0, 1, 23, 49, 101, 290, 374, 122, 458, 29, 67, 21, 1, 0], [0, 1, 23, 50, 92, 326, 290, 248, 332, 113, 31, 30, 0, 0], [0, 1, 23, 50, 93, 318, 318, 192, 402, 57, 59, 22, 1, 0], [0, 1, 23, 50, 94, 310, 346, 136, 472, 1, 87, 14, 2, 0], [0, 1, 23, 51, 84, 354, 234, 318, 276, 141, 23, 31, 0, 0], [0, 1, 23, 51, 85, 346, 262, 262, 346, 85, 51, 23, 1, 0], [0, 1, 23, 51, 86, 338, 290, 206, 416, 29, 79, 15, 2, 0], [0, 1, 23, 52, 76, 382, 178, 388, 220, 169, 15, 32, 0, 0], [0, 1, 23, 52, 77, 374, 206, 332, 290, 113, 43, 24, 1, 0], [0, 1, 23, 52, 78, 366, 234, 276, 360, 57, 71, 16, 2, 0], [0, 1, 23, 52, 79, 358, 262, 220, 430, 1, 99, 8, 3, 0], [0, 1, 23, 53, 68, 410, 122, 458, 164, 197, 7, 33, 0, 0], [0, 1, 23, 53, 69, 402, 150, 402, 234, 141, 35, 25, 1, 0], [0, 1, 23, 53, 70, 394, 178, 346, 304, 85, 63, 17, 2, 0], [0, 1, 23, 53, 71, 386, 206, 290, 374, 29, 91, 9, 3, 0], [0, 1, 23, 54, 61, 430, 94, 472, 178, 169, 27, 26, 1, 0], [0, 1, 23, 54, 62, 422, 122, 416, 248, 113, 55, 18, 2, 0], [0, 1, 23, 54, 63, 414, 150, 360, 318, 57, 83, 10, 3, 0], [0, 1, 23, 54, 64, 406, 178, 304, 388, 1, 111, 2, 4, 0], [0, 1, 23, 55, 53, 458, 38, 542, 122, 197, 19, 27, 1, 0], [0, 1, 23, 55, 54, 450, 66, 486, 192, 141, 47, 19, 2, 0], [0, 1, 23, 55, 55, 442, 94, 430, 262, 85, 75, 11, 3, 0], [0, 1, 23, 55, 56, 434, 122, 374, 332, 29, 103, 3, 4, 0], [0, 1, 23, 56, 46, 478, 10, 556, 136, 169, 39, 20, 2, 0], [0, 1, 23, 56, 47, 470, 38, 500, 206, 113, 67, 12, 3, 0], [0, 1, 23, 56, 48, 462, 66, 444, 276, 57, 95, 4, 4, 0], [0, 1, 23, 57, 40, 490, 10, 514, 220, 85, 87, 5, 4, 0], [0, 1, 24, 40, 136, 214, 472, 52, 472, 49, 48, 28, 0, 0], [0, 1, 24, 41, 128, 242, 416, 122, 416, 77, 40, 29, 0, 0], [0, 1, 24, 41, 129, 234, 444, 66, 486, 21, 68, 21, 1, 0], [0, 1, 24, 42, 120, 270, 360, 192, 360, 105, 32, 30, 0, 0], [0, 1, 24, 42, 121, 262, 388, 136, 430, 49, 60, 22, 1, 0], [0, 1, 24, 43, 112, 298, 304, 262, 304, 133, 24, 31, 0, 0], [0, 1, 24, 43, 113, 290, 332, 206, 374, 77, 52, 23, 1, 0], [0, 1, 24, 43, 114, 282, 360, 150, 444, 21, 80, 15, 2, 0], [0, 1, 24, 44, 104, 326, 248, 332, 248, 161, 16, 32, 0, 0], [0, 1, 24, 44, 105, 318, 276, 276, 318, 105, 44, 24, 1, 0], [0, 1, 24, 44, 106, 310, 304, 220, 388, 49, 72, 16, 2, 0], [0, 1, 24, 45, 96, 354, 192, 402, 192, 189, 8, 33, 0, 0], [0, 1, 24, 45, 97, 346, 220, 346, 262, 133, 36, 25, 1, 0], [0, 1, 24, 45, 98, 338, 248, 290, 332, 77, 64, 17, 2, 0], [0, 1, 24, 45, 99, 330, 276, 234, 402, 21, 92, 9, 3, 0], [0, 1, 24, 46, 88, 382, 136, 472, 136, 217, 0, 34, 0, 0], [0, 1, 24, 46, 89, 374, 164, 416, 206, 161, 28, 26, 1, 0], [0, 1, 24, 46, 90, 366, 192, 360, 276, 105, 56, 18, 2, 0], [0, 1, 24, 46, 91, 358, 220, 304, 346, 49, 84, 10, 3, 0], [0, 1, 24, 47, 81, 402, 108, 486, 150, 189, 20, 27, 1, 0], [0, 1, 24, 47, 82, 394, 136, 430, 220, 133, 48, 19, 2, 0], [0, 1, 24, 47, 83, 386, 164, 374, 290, 77, 76, 11, 3, 0], [0, 1, 24, 47, 84, 378, 192, 318, 360, 21, 104, 3, 4, 0], [0, 1, 24, 48, 73, 430, 52, 556, 94, 217, 12, 28, 1, 0], [0, 1, 24, 48, 74, 422, 80, 500, 164, 161, 40, 20, 2, 0], [0, 1, 24, 48, 75, 414, 108, 444, 234, 105, 68, 12, 3, 0], [0, 1, 24, 48, 76, 406, 136, 388, 304, 49, 96, 4, 4, 0], [0, 1, 24, 49, 66, 450, 24, 570, 108, 189, 32, 21, 2, 0], [0, 1, 24, 49, 67, 442, 52, 514, 178, 133, 60, 13, 3, 0], [0, 1, 24, 49, 68, 434, 80, 458, 248, 77, 88, 5, 4, 0], [0, 1, 24, 50, 60, 462, 24, 528, 192, 105, 80, 6, 4, 0], [0, 1, 24, 52, 48, 487, 16, 472, 304, 7, 120, 4, 0, 1], [0, 1, 25, 33, 156, 186, 486, 66, 444, 69, 41, 29, 0, 0], [0, 1, 25, 33, 157, 178, 514, 10, 514, 13, 69, 21, 1, 0], [0, 1, 25, 34, 148, 214, 430, 136, 388, 97, 33, 30, 0, 0], [0, 1, 25, 34, 149, 206, 458, 80, 458, 41, 61, 22, 1, 0], [0, 1, 25, 35, 140, 242, 374, 206, 332, 125, 25, 31, 0, 0], [0, 1, 25, 35, 141, 234, 402, 150, 402, 69, 53, 23, 1, 0], [0, 1, 25, 35, 142, 226, 430, 94, 472, 13, 81, 15, 2, 0], [0, 1, 25, 36, 132, 270, 318, 276, 276, 153, 17, 32, 0, 0], [0, 1, 25, 36, 133, 262, 346, 220, 346, 97, 45, 24, 1, 0], [0, 1, 25, 36, 134, 254, 374, 164, 416, 41, 73, 16, 2, 0], [0, 1, 25, 37, 124, 298, 262, 346, 220, 181, 9, 33, 0, 0], [0, 1, 25, 37, 125, 290, 290, 290, 290, 125, 37, 25, 1, 0], [0, 1, 25, 37, 126, 282, 318, 234, 360, 69, 65, 17, 2, 0], [0, 1, 25, 37, 127, 274, 346, 178, 430, 13, 93, 9, 3, 0], [0, 1, 25, 38, 116, 326, 206, 416, 164, 209, 1, 34, 0, 0], [0, 1, 25, 38, 117, 318, 234, 360, 234, 153, 29, 26, 1, 0], [0, 1, 25, 38, 118, 310, 262, 304, 304, 97, 57, 18, 2, 0], [0, 1, 25, 38, 119, 302, 290, 248, 374, 41, 85, 10, 3, 0], [0, 1, 25, 39, 109, 346, 178, 430, 178, 181, 21, 27, 1, 0], [0, 1, 25, 39, 110, 338, 206, 374, 248, 125, 49, 19, 2, 0], [0, 1, 25, 39, 111, 330, 234, 318, 318, 69, 77, 11, 3, 0], [0, 1, 25, 39, 112, 322, 262, 262, 388, 13, 105, 3, 4, 0], [0, 1, 25, 40, 101, 374, 122, 500, 122, 209, 13, 28, 1, 0], [0, 1, 25, 40, 102, 366, 150, 444, 192, 153, 41, 20, 2, 0], [0, 1, 25, 40, 103, 358, 178, 388, 262, 97, 69, 12, 3, 0], [0, 1, 25, 40, 104, 350, 206, 332, 332, 41, 97, 4, 4, 0], [0, 1, 25, 41, 93, 402, 66, 570, 66, 237, 5, 29, 1, 0], [0, 1, 25, 41, 94, 394, 94, 514, 136, 181, 33, 21, 2, 0], [0, 1, 25, 41, 95, 386, 122, 458, 206, 125, 61, 13, 3, 0], [0, 1, 25, 41, 96, 378, 150, 402, 276, 69, 89, 5, 4, 0], [0, 1, 25, 42, 86, 422, 38, 584, 80, 209, 25, 22, 2, 0], [0, 1, 25, 42, 87, 414, 66, 528, 150, 153, 53, 14, 3, 0], [0, 1, 25, 42, 88, 406, 94, 472, 220, 97, 81, 6, 4, 0], [0, 1, 25, 43, 79, 442, 10, 598, 94, 181, 45, 15, 3, 0], [0, 1, 25, 43, 80, 434, 38, 542, 164, 125, 73, 7, 4, 0], [0, 1, 25, 44, 73, 454, 10, 556, 178, 97, 93, 0, 5, 0], [0, 1, 25, 45, 68, 459, 30, 486, 276, 27, 113, 5, 0, 1], [0, 1, 26, 25, 184, 130, 556, 10, 472, 61, 42, 29, 0, 0], [0, 1, 26, 26, 176, 158, 500, 80, 416, 89, 34, 30, 0, 0], [0, 1, 26, 26, 177, 150, 528, 24, 486, 33, 62, 22, 1, 0], [0, 1, 26, 27, 168, 186, 444, 150, 360, 117, 26, 31, 0, 0], [0, 1, 26, 27, 169, 178, 472, 94, 430, 61, 54, 23, 1, 0], [0, 1, 26, 27, 170, 170, 500, 38, 500, 5, 82, 15, 2, 0], [0, 1, 26, 28, 160, 214, 388, 220, 304, 145, 18, 32, 0, 0], [0, 1, 26, 28, 161, 206, 416, 164, 374, 89, 46, 24, 1, 0], [0, 1, 26, 28, 162, 198, 444, 108, 444, 33, 74, 16, 2, 0], [0, 1, 26, 29, 152, 242, 332, 290, 248, 173, 10, 33, 0, 0], [0, 1, 26, 29, 153, 234, 360, 234, 318, 117, 38, 25, 1, 0], [0, 1, 26, 29, 154, 226, 388, 178, 388, 61, 66, 17, 2, 0], [0, 1, 26, 29, 155, 218, 416, 122, 458, 5, 94, 9, 3, 0], [0, 1, 26, 30, 144, 270, 276, 360, 192, 201, 2, 34, 0, 0], [0, 1, 26, 30, 145, 262, 304, 304, 262, 145, 30, 26, 1, 0], [0, 1, 26, 30, 146, 254, 332, 248, 332, 89, 58, 18, 2, 0], [0, 1, 26, 30, 147, 246, 360, 192, 402, 33, 86, 10, 3, 0], [0, 1, 26, 31, 137, 290, 248, 374, 206, 173, 22, 27, 1, 0], [0, 1, 26, 31, 138, 282, 276, 318, 276, 117, 50, 19, 2, 0], [0, 1, 26, 31, 139, 274, 304, 262, 346, 61, 78, 11, 3, 0], [0, 1, 26, 31, 140, 266, 332, 206, 416, 5, 106, 3, 4, 0], [0, 1, 26, 32, 129, 318, 192, 444, 150, 201, 14, 28, 1, 0], [0, 1, 26, 32, 130, 310, 220, 388, 220, 145, 42, 20, 2, 0], [0, 1, 26, 32, 131, 302, 248, 332, 290, 89, 70, 12, 3, 0], [0, 1, 26, 32, 132, 294, 276, 276, 360, 33, 98, 4, 4, 0], [0, 1, 26, 33, 121, 346, 136, 514, 94, 229, 6, 29, 1, 0], [0, 1, 26, 33, 122, 338, 164, 458, 164, 173, 34, 21, 2, 0], [0, 1, 26, 33, 123, 330, 192, 402, 234, 117, 62, 13, 3, 0], [0, 1, 26, 33, 124, 322, 220, 346, 304, 61, 90, 5, 4, 0], [0, 1, 26, 34, 114, 366, 108, 528, 108, 201, 26, 22, 2, 0], [0, 1, 26, 34, 115, 358, 136, 472, 178, 145, 54, 14, 3, 0], [0, 1, 26, 34, 116, 350, 164, 416, 248, 89, 82, 6, 4, 0], [0, 1, 26, 35, 106, 394, 52, 598, 52, 229, 18, 23, 2, 0], [0, 1, 26, 35, 107, 386, 80, 542, 122, 173, 46, 15, 3, 0], [0, 1, 26, 35, 108, 378, 108, 486, 192, 117, 74, 7, 4, 0], [0, 1, 26, 36, 99, 414, 24, 612, 66, 201, 38, 16, 3, 0], [0, 1, 26, 36, 100, 406, 52, 556, 136, 145, 66, 8, 4, 0], [0, 1, 26, 36, 101, 398, 80, 500, 206, 89, 94, 0, 5, 0], [0, 1, 26, 37, 93, 426, 24, 570, 150, 117, 86, 1, 5, 0], [0, 1, 26, 37, 96, 403, 100, 430, 304, 19, 114, 5, 0, 1], [0, 1, 26, 38, 88, 431, 44, 500, 248, 47, 106, 6, 0, 1], [0, 1, 27, 18, 204, 102, 570, 24, 444, 81, 35, 30, 0, 0], [0, 1, 27, 19, 196, 130, 514, 94, 388, 109, 27, 31, 0, 0], [0, 1, 27, 19, 197, 122, 542, 38, 458, 53, 55, 23, 1, 0], [0, 1, 27, 20, 188, 158, 458, 164, 332, 137, 19, 32, 0, 0], [0, 1, 27, 20, 189, 150, 486, 108, 402, 81, 47, 24, 1, 0], [0, 1, 27, 20, 190, 142, 514, 52, 472, 25, 75, 16, 2, 0], [0, 1, 27, 21, 180, 186, 402, 234, 276, 165, 11, 33, 0, 0], [0, 1, 27, 21, 181, 178, 430, 178, 346, 109, 39, 25, 1, 0], [0, 1, 27, 21, 182, 170, 458, 122, 416, 53, 67, 17, 2, 0], [0, 1, 27, 22, 172, 214, 346, 304, 220, 193, 3, 34, 0, 0], [0, 1, 27, 22, 173, 206, 374, 248, 290, 137, 31, 26, 1, 0], [0, 1, 27, 22, 174, 198, 402, 192, 360, 81, 59, 18, 2, 0], [0, 1, 27, 22, 175, 190, 430, 136, 430, 25, 87, 10, 3, 0], [0, 1, 27, 23, 165, 234, 318, 318, 234, 165, 23, 27, 1, 0], [0, 1, 27, 23, 166, 226, 346, 262, 304, 109, 51, 19, 2, 0], [0, 1, 27, 23, 167, 218, 374, 206, 374, 53, 79, 11, 3, 0], [0, 1, 27, 24, 157, 262, 262, 388, 178, 193, 15, 28, 1, 0], [0, 1, 27, 24, 158, 254, 290, 332, 248, 137, 43, 20, 2, 0], [0, 1, 27, 24, 159, 246, 318, 276, 318, 81, 71, 12, 3, 0], [0, 1, 27, 24, 160, 238, 346, 220, 388, 25, 99, 4, 4, 0], [0, 1, 27, 25, 149, 290, 206, 458, 122, 221, 7, 29, 1, 0], [0, 1, 27, 25, 150, 282, 234, 402, 192, 165, 35, 21, 2, 0], [0, 1, 27, 25, 151, 274, 262, 346, 262, 109, 63, 13, 3, 0], [0, 1, 27, 25, 152, 266, 290, 290, 332, 53, 91, 5, 4, 0], [0, 1, 27, 26, 142, 310, 178, 472, 136, 193, 27, 22, 2, 0], [0, 1, 27, 26, 143, 302, 206, 416, 206, 137, 55, 14, 3, 0], [0, 1, 27, 26, 144, 294, 234, 360, 276, 81, 83, 6, 4, 0], [0, 1, 27, 27, 134, 338, 122, 542, 80, 221, 19, 23, 2, 0], [0, 1, 27, 27, 135, 330, 150, 486, 150, 165, 47, 15, 3, 0], [0, 1, 27, 27, 136, 322, 178, 430, 220, 109, 75, 7, 4, 0], [0, 1, 27, 28, 126, 366, 66, 612, 24, 249, 11, 24, 2, 0], [0, 1, 27, 28, 127, 358, 94, 556, 94, 193, 39, 16, 3, 0], [0, 1, 27, 28, 128, 350, 122, 500, 164, 137, 67, 8, 4, 0], [0, 1, 27, 28, 129, 342, 150, 444, 234, 81, 95, 0, 5, 0], [0, 1, 27, 29, 119, 386, 38, 626, 38, 221, 31, 17, 3, 0], [0, 1, 27, 29, 120, 378, 66, 570, 108, 165, 59, 9, 4, 0], [0, 1, 27, 29, 121, 370, 94, 514, 178, 109, 87, 1, 5, 0], [0, 1, 27, 29, 124, 347, 170, 374, 332, 11, 115, 5, 0, 1], [0, 1, 27, 30, 112, 406, 10, 640, 52, 193, 51, 10, 4, 0], [0, 1, 27, 30, 113, 398, 38, 584, 122, 137, 79, 2, 5, 0], [0, 1, 27, 30, 116, 375, 114, 444, 276, 39, 107, 6, 0, 1], [0, 1, 27, 31, 108, 403, 58, 514, 220, 67, 99, 7, 0, 1], [0, 1, 27, 32, 100, 431, 2, 584, 164, 95, 91, 8, 0, 1], [0, 1, 27, 32, 101, 423, 30, 528, 234, 39, 119, 0, 1, 1], [0, 1, 28, 11, 224, 74, 584, 38, 416, 101, 28, 31, 0, 0], [0, 1, 28, 12, 216, 102, 528, 108, 360, 129, 20, 32, 0, 0], [0, 1, 28, 12, 217, 94, 556, 52, 430, 73, 48, 24, 1, 0], [0, 1, 28, 13, 208, 130, 472, 178, 304, 157, 12, 33, 0, 0], [0, 1, 28, 13, 209, 122, 500, 122, 374, 101, 40, 25, 1, 0], [0, 1, 28, 13, 210, 114, 528, 66, 444, 45, 68, 17, 2, 0], [0, 1, 28, 14, 200, 158, 416, 248, 248, 185, 4, 34, 0, 0], [0, 1, 28, 14, 201, 150, 444, 192, 318, 129, 32, 26, 1, 0], [0, 1, 28, 14, 202, 142, 472, 136, 388, 73, 60, 18, 2, 0], [0, 1, 28, 14, 203, 134, 500, 80, 458, 17, 88, 10, 3, 0], [0, 1, 28, 15, 193, 178, 388, 262, 262, 157, 24, 27, 1, 0], [0, 1, 28, 15, 194, 170, 416, 206, 332, 101, 52, 19, 2, 0], [0, 1, 28, 15, 195, 162, 444, 150, 402, 45, 80, 11, 3, 0], [0, 1, 28, 16, 185, 206, 332, 332, 206, 185, 16, 28, 1, 0], [0, 1, 28, 16, 186, 198, 360, 276, 276, 129, 44, 20, 2, 0], [0, 1, 28, 16, 187, 190, 388, 220, 346, 73, 72, 12, 3, 0], [0, 1, 28, 16, 188, 182, 416, 164, 416, 17, 100, 4, 4, 0], [0, 1, 28, 17, 177, 234, 276, 402, 150, 213, 8, 29, 1, 0], [0, 1, 28, 17, 178, 226, 304, 346, 220, 157, 36, 21, 2, 0], [0, 1, 28, 17, 179, 218, 332, 290, 290, 101, 64, 13, 3, 0], [0, 1, 28, 17, 180, 210, 360, 234, 360, 45, 92, 5, 4, 0], [0, 1, 28, 18, 169, 262, 220, 472, 94, 241, 0, 30, 1, 0], [0, 1, 28, 18, 170, 254, 248, 416, 164, 185, 28, 22, 2, 0], [0, 1, 28, 18, 171, 246, 276, 360, 234, 129, 56, 14, 3, 0], [0, 1, 28, 18, 172, 238, 304, 304, 304, 73, 84, 6, 4, 0], [0, 1, 28, 19, 162, 282, 192, 486, 108, 213, 20, 23, 2, 0], [0, 1, 28, 19, 163, 274, 220, 430, 178, 157, 48, 15, 3, 0], [0, 1, 28, 19, 164, 266, 248, 374, 248, 101, 76, 7, 4, 0], [0, 1, 28, 20, 154, 310, 136, 556, 52, 241, 12, 24, 2, 0], [0, 1, 28, 20, 155, 302, 164, 500, 122, 185, 40, 16, 3, 0], [0, 1, 28, 20, 156, 294, 192, 444, 192, 129, 68, 8, 4, 0], [0, 1, 28, 20, 157, 286, 220, 388, 262, 73, 96, 0, 5, 0], [0, 1, 28, 21, 147, 330, 108, 570, 66, 213, 32, 17, 3, 0], [0, 1, 28, 21, 148, 322, 136, 514, 136, 157, 60, 9, 4, 0], [0, 1, 28, 21, 149, 314, 164, 458, 206, 101, 88, 1, 5, 0], [0, 1, 28, 21, 152, 291, 240, 318, 360, 3, 116, 5, 0, 1], [0, 1, 28, 22, 139, 358, 52, 640, 10, 241, 24, 18, 3, 0], [0, 1, 28, 22, 140, 350, 80, 584, 80, 185, 52, 10, 4, 0], [0, 1, 28, 22, 141, 342, 108, 528, 150, 129, 80, 2, 5, 0], [0, 1, 28, 22, 144, 319, 184, 388, 304, 31, 108, 6, 0, 1], [0, 1, 28, 23, 132, 378, 24, 654, 24, 213, 44, 11, 4, 0], [0, 1, 28, 23, 133, 370, 52, 598, 94, 157, 72, 3, 5, 0], [0, 1, 28, 23, 136, 347, 128, 458, 248, 59, 100, 7, 0, 1], [0, 1, 28, 24, 128, 375, 72, 528, 192, 87, 92, 8, 0, 1], [0, 1, 28, 24, 129, 367, 100, 472, 262, 31, 120, 0, 1, 1], [0, 1, 28, 25, 120, 403, 16, 598, 136, 115, 84, 9, 0, 1], [0, 1, 28, 25, 121, 395, 44, 542, 206, 59, 112, 1, 1, 1], [0, 1, 29, 4, 244, 46, 598, 52, 388, 121, 21, 32, 0, 0], [0, 1, 29, 5, 236, 74, 542, 122, 332, 149, 13, 33, 0, 0], [0, 1, 29, 5, 237, 66, 570, 66, 402, 93, 41, 25, 1, 0], [0, 1, 29, 5, 238, 58, 598, 10, 472, 37, 69, 17, 2, 0], [0, 1, 29, 6, 228, 102, 486, 192, 276, 177, 5, 34, 0, 0], [0, 1, 29, 6, 229, 94, 514, 136, 346, 121, 33, 26, 1, 0], [0, 1, 29, 6, 230, 86, 542, 80, 416, 65, 61, 18, 2, 0], [0, 1, 29, 6, 231, 78, 570, 24, 486, 9, 89, 10, 3, 0], [0, 1, 29, 7, 221, 122, 458, 206, 290, 149, 25, 27, 1, 0], [0, 1, 29, 7, 222, 114, 486, 150, 360, 93, 53, 19, 2, 0], [0, 1, 29, 7, 223, 106, 514, 94, 430, 37, 81, 11, 3, 0], [0, 1, 29, 8, 213, 150, 402, 276, 234, 177, 17, 28, 1, 0], [0, 1, 29, 8, 214, 142, 430, 220, 304, 121, 45, 20, 2, 0], [0, 1, 29, 8, 215, 134, 458, 164, 374, 65, 73, 12, 3, 0], [0, 1, 29, 8, 216, 126, 486, 108, 444, 9, 101, 4, 4, 0], [0, 1, 29, 9, 205, 178, 346, 346, 178, 205, 9, 29, 1, 0], [0, 1, 29, 9, 206, 170, 374, 290, 248, 149, 37, 21, 2, 0], [0, 1, 29, 9, 207, 162, 402, 234, 318, 93, 65, 13, 3, 0], [0, 1, 29, 9, 208, 154, 430, 178, 388, 37, 93, 5, 4, 0], [0, 1, 29, 10, 197, 206, 290, 416, 122, 233, 1, 30, 1, 0], [0, 1, 29, 10, 198, 198, 318, 360, 192, 177, 29, 22, 2, 0], [0, 1, 29, 10, 199, 190, 346, 304, 262, 121, 57, 14, 3, 0], [0, 1, 29, 10, 200, 182, 374, 248, 332, 65, 85, 6, 4, 0], [0, 1, 29, 11, 190, 226, 262, 430, 136, 205, 21, 23, 2, 0], [0, 1, 29, 11, 191, 218, 290, 374, 206, 149, 49, 15, 3, 0], [0, 1, 29, 11, 192, 210, 318, 318, 276, 93, 77, 7, 4, 0], [0, 1, 29, 12, 182, 254, 206, 500, 80, 233, 13, 24, 2, 0], [0, 1, 29, 12, 183, 246, 234, 444, 150, 177, 41, 16, 3, 0], [0, 1, 29, 12, 184, 238, 262, 388, 220, 121, 69, 8, 4, 0], [0, 1, 29, 12, 185, 230, 290, 332, 290, 65, 97, 0, 5, 0], [0, 1, 29, 13, 174, 282, 150, 570, 24, 261, 5, 25, 2, 0], [0, 1, 29, 13, 175, 274, 178, 514, 94, 205, 33, 17, 3, 0], [0, 1, 29, 13, 176, 266, 206, 458, 164, 149, 61, 9, 4, 0], [0, 1, 29, 13, 177, 258, 234, 402, 234, 93, 89, 1, 5, 0], [0, 1, 29, 14, 167, 302, 122, 584, 38, 233, 25, 18, 3, 0], [0, 1, 29, 14, 168, 294, 150, 528, 108, 177, 53, 10, 4, 0], [0, 1, 29, 14, 169, 286, 178, 472, 178, 121, 81, 2, 5, 0], [0, 1, 29, 14, 172, 263, 254, 332, 332, 23, 109, 6, 0, 1], [0, 1, 29, 15, 160, 322, 94, 598, 52, 205, 45, 11, 4, 0], [0, 1, 29, 15, 161, 314, 122, 542, 122, 149, 73, 3, 5, 0], [0, 1, 29, 15, 164, 291, 198, 402, 276, 51, 101, 7, 0, 1], [0, 1, 29, 16, 153, 342, 66, 612, 66, 177, 65, 4, 5, 0], [0, 1, 29, 16, 156, 319, 142, 472, 220, 79, 93, 8, 0, 1], [0, 1, 29, 16, 157, 311, 170, 416, 290, 23, 121, 0, 1, 1], [0, 1, 29, 17, 145, 370, 10, 682, 10, 205, 57, 5, 5, 0], [0, 1, 29, 17, 148, 347, 86, 542, 164, 107, 85, 9, 0, 1], [0, 1, 29, 17, 149, 339, 114, 486, 234, 51, 113, 1, 1, 1], [0, 1, 29, 18, 140, 375, 30, 612, 108, 135, 77, 10, 0, 1], [0, 1, 29, 18, 141, 367, 58, 556, 178, 79, 105, 2, 1, 1], [0, 1, 29, 19, 133, 395, 2, 626, 122, 107, 97, 3, 1, 1], [0, 1, 30, 0, 241, 94, 472, 220, 262, 169, 18, 28, 1, 0], [0, 1, 30, 0, 242, 86, 500, 164, 332, 113, 46, 20, 2, 0], [0, 1, 30, 0, 243, 78, 528, 108, 402, 57, 74, 12, 3, 0], [0, 1, 30, 0, 244, 70, 556, 52, 472, 1, 102, 4, 4, 0], [0, 1, 30, 1, 233, 122, 416, 290, 206, 197, 10, 29, 1, 0], [0, 1, 30, 1, 234, 114, 444, 234, 276, 141, 38, 21, 2, 0], [0, 1, 30, 1, 235, 106, 472, 178, 346, 85, 66, 13, 3, 0], [0, 1, 30, 1, 236, 98, 500, 122, 416, 29, 94, 5, 4, 0], [0, 1, 30, 2, 225, 150, 360, 360, 150, 225, 2, 30, 1, 0], [0, 1, 30, 2, 226, 142, 388, 304, 220, 169, 30, 22, 2, 0], [0, 1, 30, 2, 227, 134, 416, 248, 290, 113, 58, 14, 3, 0], [0, 1, 30, 2, 228, 126, 444, 192, 360, 57, 86, 6, 4, 0], [0, 1, 30, 3, 218, 170, 332, 374, 164, 197, 22, 23, 2, 0], [0, 1, 30, 3, 219, 162, 360, 318, 234, 141, 50, 15, 3, 0], [0, 1, 30, 3, 220, 154, 388, 262, 304, 85, 78, 7, 4, 0], [0, 1, 30, 4, 210, 198, 276, 444, 108, 225, 14, 24, 2, 0], [0, 1, 30, 4, 211, 190, 304, 388, 178, 169, 42, 16, 3, 0], [0, 1, 30, 4, 212, 182, 332, 332, 248, 113, 70, 8, 4, 0], [0, 1, 30, 4, 213, 174, 360, 276, 318, 57, 98, 0, 5, 0], [0, 1, 30, 5, 202, 226, 220, 514, 52, 253, 6, 25, 2, 0], [0, 1, 30, 5, 203, 218, 248, 458, 122, 197, 34, 17, 3, 0], [0, 1, 30, 5, 204, 210, 276, 402, 192, 141, 62, 9, 4, 0], [0, 1, 30, 5, 205, 202, 304, 346, 262, 85, 90, 1, 5, 0], [0, 1, 30, 6, 195, 246, 192, 528, 66, 225, 26, 18, 3, 0], [0, 1, 30, 6, 196, 238, 220, 472, 136, 169, 54, 10, 4, 0], [0, 1, 30, 6, 197, 230, 248, 416, 206, 113, 82, 2, 5, 0], [0, 1, 30, 6, 200, 207, 324, 276, 360, 15, 110, 6, 0, 1], [0, 1, 30, 7, 187, 274, 136, 598, 10, 253, 18, 19, 3, 0], [0, 1, 30, 7, 188, 266, 164, 542, 80, 197, 46, 11, 4, 0], [0, 1, 30, 7, 189, 258, 192, 486, 150, 141, 74, 3, 5, 0], [0, 1, 30, 7, 192, 235, 268, 346, 304, 43, 102, 7, 0, 1], [0, 1, 30, 8, 180, 294, 108, 612, 24, 225, 38, 12, 4, 0], [0, 1, 30, 8, 181, 286, 136, 556, 94, 169, 66, 4, 5, 0], [0, 1, 30, 8, 184, 263, 212, 416, 248, 71, 94, 8, 0, 1], [0, 1, 30, 8, 185, 255, 240, 360, 318, 15, 122, 0, 1, 1], [0, 1, 30, 9, 173, 314, 80, 626, 38, 197, 58, 5, 5, 0], [0, 1, 30, 9, 176, 291, 156, 486, 192, 99, 86, 9, 0, 1], [0, 1, 30, 9, 177, 283, 184, 430, 262, 43, 114, 1, 1, 1], [0, 1, 30, 10, 168, 319, 100, 556, 136, 127, 78, 10, 0, 1], [0, 1, 30, 10, 169, 311, 128, 500, 206, 71, 106, 2, 1, 1], [0, 1, 30, 11, 160, 347, 44, 626, 80, 155, 70, 11, 0, 1], [0, 1, 30, 11, 161, 339, 72, 570, 150, 99, 98, 3, 1, 1], [0, 1, 30, 12, 153, 367, 16, 640, 94, 127, 90, 4, 1, 1], [0, 1, 31, 0, 208, 238, 178, 556, 52, 217, 39, 12, 4, 0], [0, 1, 31, 0, 209, 230, 206, 500, 122, 161, 67, 4, 5, 0], [0, 1, 31, 0, 212, 207, 282, 360, 276, 63, 95, 8, 0, 1], [0, 1, 31, 0, 213, 199, 310, 304, 346, 7, 123, 0, 1, 1], [0, 1, 31, 1, 201, 258, 150, 570, 66, 189, 59, 5, 5, 0], [0, 1, 31, 1, 204, 235, 226, 430, 220, 91, 87, 9, 0, 1], [0, 1, 31, 1, 205, 227, 254, 374, 290, 35, 115, 1, 1, 1], [0, 1, 31, 2, 193, 286, 94, 640, 10, 217, 51, 6, 5, 0], [0, 1, 31, 2, 196, 263, 170, 500, 164, 119, 79, 10, 0, 1], [0, 1, 31, 2, 197, 255, 198, 444, 234, 63, 107, 2, 1, 1], [0, 1, 31, 3, 188, 291, 114, 570, 108, 147, 71, 11, 0, 1], [0, 1, 31, 3, 189, 283, 142, 514, 178, 91, 99, 3, 1, 1], [0, 1, 31, 4, 180, 319, 58, 640, 52, 175, 63, 12, 0, 1], [0, 1, 31, 4, 181, 311, 86, 584, 122, 119, 91, 4, 1, 1], [0, 1, 31, 5, 173, 339, 30, 654, 66, 147, 83, 5, 1, 1], [0, 2, 13, 90, 12, 396, 318, 108, 492, 18, 61, 26, 0, 0], [0, 2, 13, 91, 4, 424, 262, 178, 436, 46, 53, 27, 0, 0], [0, 2, 14, 82, 40, 340, 388, 52, 520, 10, 62, 26, 0, 0], [0, 2, 14, 83, 32, 368, 332, 122, 464, 38, 54, 27, 0, 0], [0, 2, 14, 84, 24, 396, 276, 192, 408, 66, 46, 28, 0, 0], [0, 2, 14, 84, 25, 388, 304, 136, 478, 10, 74, 20, 1, 0], [0, 2, 14, 85, 16, 424, 220, 262, 352, 94, 38, 29, 0, 0], [0, 2, 14, 85, 17, 416, 248, 206, 422, 38, 66, 21, 1, 0], [0, 2, 14, 86, 8, 452, 164, 332, 296, 122, 30, 30, 0, 0], [0, 2, 14, 86, 9, 444, 192, 276, 366, 66, 58, 22, 1, 0], [0, 2, 14, 86, 10, 436, 220, 220, 436, 10, 86, 14, 2, 0], [0, 2, 14, 87, 0, 480, 108, 402, 240, 150, 22, 31, 0, 0], [0, 2, 14, 87, 1, 472, 136, 346, 310, 94, 50, 23, 1, 0], [0, 2, 14, 87, 2, 464, 164, 290, 380, 38, 78, 15, 2, 0], [0, 2, 15, 75, 60, 312, 402, 66, 492, 30, 55, 27, 0, 0], [0, 2, 15, 76, 52, 340, 346, 136, 436, 58, 47, 28, 0, 0], [0, 2, 15, 76, 53, 332, 374, 80, 506, 2, 75, 20, 1, 0], [0, 2, 15, 77, 44, 368, 290, 206, 380, 86, 39, 29, 0, 0], [0, 2, 15, 77, 45, 360, 318, 150, 450, 30, 67, 21, 1, 0], [0, 2, 15, 78, 36, 396, 234, 276, 324, 114, 31, 30, 0, 0], [0, 2, 15, 78, 37, 388, 262, 220, 394, 58, 59, 22, 1, 0], [0, 2, 15, 78, 38, 380, 290, 164, 464, 2, 87, 14, 2, 0], [0, 2, 15, 79, 28, 424, 178, 346, 268, 142, 23, 31, 0, 0], [0, 2, 15, 79, 29, 416, 206, 290, 338, 86, 51, 23, 1, 0], [0, 2, 15, 79, 30, 408, 234, 234, 408, 30, 79, 15, 2, 0], [0, 2, 15, 80, 20, 452, 122, 416, 212, 170, 15, 32, 0, 0], [0, 2, 15, 80, 21, 444, 150, 360, 282, 114, 43, 24, 1, 0], [0, 2, 15, 80, 22, 436, 178, 304, 352, 58, 71, 16, 2, 0], [0, 2, 15, 80, 23, 428, 206, 248, 422, 2, 99, 8, 3, 0], [0, 2, 15, 81, 12, 480, 66, 486, 156, 198, 7, 33, 0, 0], [0, 2, 15, 81, 13, 472, 94, 430, 226, 142, 35, 25, 1, 0], [0, 2, 15, 81, 14, 464, 122, 374, 296, 86, 63, 17, 2, 0], [0, 2, 15, 81, 15, 456, 150, 318, 366, 30, 91, 9, 3, 0], [0, 2, 15, 82, 5, 500, 38, 500, 170, 170, 27, 26, 1, 0], [0, 2, 15, 82, 6, 492, 66, 444, 240, 114, 55, 18, 2, 0], [0, 2, 15, 82, 7, 484, 94, 388, 310, 58, 83, 10, 3, 0], [0, 2, 15, 82, 8, 476, 122, 332, 380, 2, 111, 2, 4, 0], [0, 2, 15, 83, 0, 504, 66, 402, 324, 30, 103, 3, 4, 0], [0, 2, 16, 67, 88, 256, 472, 10, 520, 22, 56, 27, 0, 0], [0, 2, 16, 68, 80, 284, 416, 80, 464, 50, 48, 28, 0, 0], [0, 2, 16, 69, 72, 312, 360, 150, 408, 78, 40, 29, 0, 0], [0, 2, 16, 69, 73, 304, 388, 94, 478, 22, 68, 21, 1, 0], [0, 2, 16, 70, 64, 340, 304, 220, 352, 106, 32, 30, 0, 0], [0, 2, 16, 70, 65, 332, 332, 164, 422, 50, 60, 22, 1, 0], [0, 2, 16, 71, 56, 368, 248, 290, 296, 134, 24, 31, 0, 0], [0, 2, 16, 71, 57, 360, 276, 234, 366, 78, 52, 23, 1, 0], [0, 2, 16, 71, 58, 352, 304, 178, 436, 22, 80, 15, 2, 0], [0, 2, 16, 72, 48, 396, 192, 360, 240, 162, 16, 32, 0, 0], [0, 2, 16, 72, 49, 388, 220, 304, 310, 106, 44, 24, 1, 0], [0, 2, 16, 72, 50, 380, 248, 248, 380, 50, 72, 16, 2, 0], [0, 2, 16, 73, 40, 424, 136, 430, 184, 190, 8, 33, 0, 0], [0, 2, 16, 73, 41, 416, 164, 374, 254, 134, 36, 25, 1, 0], [0, 2, 16, 73, 42, 408, 192, 318, 324, 78, 64, 17, 2, 0], [0, 2, 16, 73, 43, 400, 220, 262, 394, 22, 92, 9, 3, 0], [0, 2, 16, 74, 32, 452, 80, 500, 128, 218, 0, 34, 0, 0], [0, 2, 16, 74, 33, 444, 108, 444, 198, 162, 28, 26, 1, 0], [0, 2, 16, 74, 34, 436, 136, 388, 268, 106, 56, 18, 2, 0], [0, 2, 16, 74, 35, 428, 164, 332, 338, 50, 84, 10, 3, 0], [0, 2, 16, 75, 25, 472, 52, 514, 142, 190, 20, 27, 1, 0], [0, 2, 16, 75, 26, 464, 80, 458, 212, 134, 48, 19, 2, 0], [0, 2, 16, 75, 27, 456, 108, 402, 282, 78, 76, 11, 3, 0], [0, 2, 16, 75, 28, 448, 136, 346, 352, 22, 104, 3, 4, 0], [0, 2, 16, 76, 18, 492, 24, 528, 156, 162, 40, 20, 2, 0], [0, 2, 16, 76, 19, 484, 52, 472, 226, 106, 68, 12, 3, 0], [0, 2, 16, 76, 20, 476, 80, 416, 296, 50, 96, 4, 4, 0], [0, 2, 16, 77, 12, 504, 24, 486, 240, 78, 88, 5, 4, 0], [0, 2, 17, 60, 108, 228, 486, 24, 492, 42, 49, 28, 0, 0], [0, 2, 17, 61, 100, 256, 430, 94, 436, 70, 41, 29, 0, 0], [0, 2, 17, 61, 101, 248, 458, 38, 506, 14, 69, 21, 1, 0], [0, 2, 17, 62, 92, 284, 374, 164, 380, 98, 33, 30, 0, 0], [0, 2, 17, 62, 93, 276, 402, 108, 450, 42, 61, 22, 1, 0], [0, 2, 17, 63, 84, 312, 318, 234, 324, 126, 25, 31, 0, 0], [0, 2, 17, 63, 85, 304, 346, 178, 394, 70, 53, 23, 1, 0], [0, 2, 17, 63, 86, 296, 374, 122, 464, 14, 81, 15, 2, 0], [0, 2, 17, 64, 76, 340, 262, 304, 268, 154, 17, 32, 0, 0], [0, 2, 17, 64, 77, 332, 290, 248, 338, 98, 45, 24, 1, 0], [0, 2, 17, 64, 78, 324, 318, 192, 408, 42, 73, 16, 2, 0], [0, 2, 17, 65, 68, 368, 206, 374, 212, 182, 9, 33, 0, 0], [0, 2, 17, 65, 69, 360, 234, 318, 282, 126, 37, 25, 1, 0], [0, 2, 17, 65, 70, 352, 262, 262, 352, 70, 65, 17, 2, 0], [0, 2, 17, 65, 71, 344, 290, 206, 422, 14, 93, 9, 3, 0], [0, 2, 17, 66, 60, 396, 150, 444, 156, 210, 1, 34, 0, 0], [0, 2, 17, 66, 61, 388, 178, 388, 226, 154, 29, 26, 1, 0], [0, 2, 17, 66, 62, 380, 206, 332, 296, 98, 57, 18, 2, 0], [0, 2, 17, 66, 63, 372, 234, 276, 366, 42, 85, 10, 3, 0], [0, 2, 17, 67, 53, 416, 122, 458, 170, 182, 21, 27, 1, 0], [0, 2, 17, 67, 54, 408, 150, 402, 240, 126, 49, 19, 2, 0], [0, 2, 17, 67, 55, 400, 178, 346, 310, 70, 77, 11, 3, 0], [0, 2, 17, 67, 56, 392, 206, 290, 380, 14, 105, 3, 4, 0], [0, 2, 17, 68, 45, 444, 66, 528, 114, 210, 13, 28, 1, 0], [0, 2, 17, 68, 46, 436, 94, 472, 184, 154, 41, 20, 2, 0], [0, 2, 17, 68, 47, 428, 122, 416, 254, 98, 69, 12, 3, 0], [0, 2, 17, 68, 48, 420, 150, 360, 324, 42, 97, 4, 4, 0], [0, 2, 17, 69, 37, 472, 10, 598, 58, 238, 5, 29, 1, 0], [0, 2, 17, 69, 38, 464, 38, 542, 128, 182, 33, 21, 2, 0], [0, 2, 17, 69, 39, 456, 66, 486, 198, 126, 61, 13, 3, 0], [0, 2, 17, 69, 40, 448, 94, 430, 268, 70, 89, 5, 4, 0], [0, 2, 17, 70, 31, 484, 10, 556, 142, 154, 53, 14, 3, 0], [0, 2, 17, 70, 32, 476, 38, 500, 212, 98, 81, 6, 4, 0], [0, 2, 17, 72, 20, 501, 30, 444, 324, 0, 121, 4, 0, 1], [0, 2, 18, 53, 128, 200, 500, 38, 464, 62, 42, 29, 0, 0], [0, 2, 18, 54, 120, 228, 444, 108, 408, 90, 34, 30, 0, 0], [0, 2, 18, 54, 121, 220, 472, 52, 478, 34, 62, 22, 1, 0], [0, 2, 18, 55, 112, 256, 388, 178, 352, 118, 26, 31, 0, 0], [0, 2, 18, 55, 113, 248, 416, 122, 422, 62, 54, 23, 1, 0], [0, 2, 18, 55, 114, 240, 444, 66, 492, 6, 82, 15, 2, 0], [0, 2, 18, 56, 104, 284, 332, 248, 296, 146, 18, 32, 0, 0], [0, 2, 18, 56, 105, 276, 360, 192, 366, 90, 46, 24, 1, 0], [0, 2, 18, 56, 106, 268, 388, 136, 436, 34, 74, 16, 2, 0], [0, 2, 18, 57, 96, 312, 276, 318, 240, 174, 10, 33, 0, 0], [0, 2, 18, 57, 97, 304, 304, 262, 310, 118, 38, 25, 1, 0], [0, 2, 18, 57, 98, 296, 332, 206, 380, 62, 66, 17, 2, 0], [0, 2, 18, 57, 99, 288, 360, 150, 450, 6, 94, 9, 3, 0], [0, 2, 18, 58, 88, 340, 220, 388, 184, 202, 2, 34, 0, 0], [0, 2, 18, 58, 89, 332, 248, 332, 254, 146, 30, 26, 1, 0], [0, 2, 18, 58, 90, 324, 276, 276, 324, 90, 58, 18, 2, 0], [0, 2, 18, 58, 91, 316, 304, 220, 394, 34, 86, 10, 3, 0], [0, 2, 18, 59, 81, 360, 192, 402, 198, 174, 22, 27, 1, 0], [0, 2, 18, 59, 82, 352, 220, 346, 268, 118, 50, 19, 2, 0], [0, 2, 18, 59, 83, 344, 248, 290, 338, 62, 78, 11, 3, 0], [0, 2, 18, 59, 84, 336, 276, 234, 408, 6, 106, 3, 4, 0], [0, 2, 18, 60, 73, 388, 136, 472, 142, 202, 14, 28, 1, 0], [0, 2, 18, 60, 74, 380, 164, 416, 212, 146, 42, 20, 2, 0], [0, 2, 18, 60, 75, 372, 192, 360, 282, 90, 70, 12, 3, 0], [0, 2, 18, 60, 76, 364, 220, 304, 352, 34, 98, 4, 4, 0], [0, 2, 18, 61, 65, 416, 80, 542, 86, 230, 6, 29, 1, 0], [0, 2, 18, 61, 66, 408, 108, 486, 156, 174, 34, 21, 2, 0], [0, 2, 18, 61, 67, 400, 136, 430, 226, 118, 62, 13, 3, 0], [0, 2, 18, 61, 68, 392, 164, 374, 296, 62, 90, 5, 4, 0], [0, 2, 18, 62, 58, 436, 52, 556, 100, 202, 26, 22, 2, 0], [0, 2, 18, 62, 59, 428, 80, 500, 170, 146, 54, 14, 3, 0], [0, 2, 18, 62, 60, 420, 108, 444, 240, 90, 82, 6, 4, 0], [0, 2, 18, 63, 51, 456, 24, 570, 114, 174, 46, 15, 3, 0], [0, 2, 18, 63, 52, 448, 52, 514, 184, 118, 74, 7, 4, 0], [0, 2, 18, 64, 45, 468, 24, 528, 198, 90, 94, 0, 5, 0], [0, 2, 18, 65, 40, 473, 44, 458, 296, 20, 114, 5, 0, 1], [0, 2, 19, 46, 148, 172, 514, 52, 436, 82, 35, 30, 0, 0], [0, 2, 19, 47, 140, 200, 458, 122, 380, 110, 27, 31, 0, 0], [0, 2, 19, 47, 141, 192, 486, 66, 450, 54, 55, 23, 1, 0], [0, 2, 19, 48, 132, 228, 402, 192, 324, 138, 19, 32, 0, 0], [0, 2, 19, 48, 133, 220, 430, 136, 394, 82, 47, 24, 1, 0], [0, 2, 19, 48, 134, 212, 458, 80, 464, 26, 75, 16, 2, 0], [0, 2, 19, 49, 124, 256, 346, 262, 268, 166, 11, 33, 0, 0], [0, 2, 19, 49, 125, 248, 374, 206, 338, 110, 39, 25, 1, 0], [0, 2, 19, 49, 126, 240, 402, 150, 408, 54, 67, 17, 2, 0], [0, 2, 19, 50, 116, 284, 290, 332, 212, 194, 3, 34, 0, 0], [0, 2, 19, 50, 117, 276, 318, 276, 282, 138, 31, 26, 1, 0], [0, 2, 19, 50, 118, 268, 346, 220, 352, 82, 59, 18, 2, 0], [0, 2, 19, 50, 119, 260, 374, 164, 422, 26, 87, 10, 3, 0], [0, 2, 19, 51, 109, 304, 262, 346, 226, 166, 23, 27, 1, 0], [0, 2, 19, 51, 110, 296, 290, 290, 296, 110, 51, 19, 2, 0], [0, 2, 19, 51, 111, 288, 318, 234, 366, 54, 79, 11, 3, 0], [0, 2, 19, 52, 101, 332, 206, 416, 170, 194, 15, 28, 1, 0], [0, 2, 19, 52, 102, 324, 234, 360, 240, 138, 43, 20, 2, 0], [0, 2, 19, 52, 103, 316, 262, 304, 310, 82, 71, 12, 3, 0], [0, 2, 19, 52, 104, 308, 290, 248, 380, 26, 99, 4, 4, 0], [0, 2, 19, 53, 93, 360, 150, 486, 114, 222, 7, 29, 1, 0], [0, 2, 19, 53, 94, 352, 178, 430, 184, 166, 35, 21, 2, 0], [0, 2, 19, 53, 95, 344, 206, 374, 254, 110, 63, 13, 3, 0], [0, 2, 19, 53, 96, 336, 234, 318, 324, 54, 91, 5, 4, 0], [0, 2, 19, 54, 86, 380, 122, 500, 128, 194, 27, 22, 2, 0], [0, 2, 19, 54, 87, 372, 150, 444, 198, 138, 55, 14, 3, 0], [0, 2, 19, 54, 88, 364, 178, 388, 268, 82, 83, 6, 4, 0], [0, 2, 19, 55, 78, 408, 66, 570, 72, 222, 19, 23, 2, 0], [0, 2, 19, 55, 79, 400, 94, 514, 142, 166, 47, 15, 3, 0], [0, 2, 19, 55, 80, 392, 122, 458, 212, 110, 75, 7, 4, 0], [0, 2, 19, 56, 70, 436, 10, 640, 16, 250, 11, 24, 2, 0], [0, 2, 19, 56, 71, 428, 38, 584, 86, 194, 39, 16, 3, 0], [0, 2, 19, 56, 72, 420, 66, 528, 156, 138, 67, 8, 4, 0], [0, 2, 19, 56, 73, 412, 94, 472, 226, 82, 95, 0, 5, 0], [0, 2, 19, 57, 64, 448, 10, 598, 100, 166, 59, 9, 4, 0], [0, 2, 19, 57, 65, 440, 38, 542, 170, 110, 87, 1, 5, 0], [0, 2, 19, 57, 68, 417, 114, 402, 324, 12, 115, 5, 0, 1], [0, 2, 19, 58, 60, 445, 58, 472, 268, 40, 107, 6, 0, 1], [0, 2, 19, 59, 52, 473, 2, 542, 212, 68, 99, 7, 0, 1], [0, 2, 20, 39, 168, 144, 528, 66, 408, 102, 28, 31, 0, 0], [0, 2, 20, 39, 169, 136, 556, 10, 478, 46, 56, 23, 1, 0], [0, 2, 20, 40, 160, 172, 472, 136, 352, 130, 20, 32, 0, 0], [0, 2, 20, 40, 161, 164, 500, 80, 422, 74, 48, 24, 1, 0], [0, 2, 20, 40, 162, 156, 528, 24, 492, 18, 76, 16, 2, 0], [0, 2, 20, 41, 152, 200, 416, 206, 296, 158, 12, 33, 0, 0], [0, 2, 20, 41, 153, 192, 444, 150, 366, 102, 40, 25, 1, 0], [0, 2, 20, 41, 154, 184, 472, 94, 436, 46, 68, 17, 2, 0], [0, 2, 20, 42, 144, 228, 360, 276, 240, 186, 4, 34, 0, 0], [0, 2, 20, 42, 145, 220, 388, 220, 310, 130, 32, 26, 1, 0], [0, 2, 20, 42, 146, 212, 416, 164, 380, 74, 60, 18, 2, 0], [0, 2, 20, 42, 147, 204, 444, 108, 450, 18, 88, 10, 3, 0], [0, 2, 20, 43, 137, 248, 332, 290, 254, 158, 24, 27, 1, 0], [0, 2, 20, 43, 138, 240, 360, 234, 324, 102, 52, 19, 2, 0], [0, 2, 20, 43, 139, 232, 388, 178, 394, 46, 80, 11, 3, 0], [0, 2, 20, 44, 129, 276, 276, 360, 198, 186, 16, 28, 1, 0], [0, 2, 20, 44, 130, 268, 304, 304, 268, 130, 44, 20, 2, 0], [0, 2, 20, 44, 131, 260, 332, 248, 338, 74, 72, 12, 3, 0], [0, 2, 20, 44, 132, 252, 360, 192, 408, 18, 100, 4, 4, 0], [0, 2, 20, 45, 121, 304, 220, 430, 142, 214, 8, 29, 1, 0], [0, 2, 20, 45, 122, 296, 248, 374, 212, 158, 36, 21, 2, 0], [0, 2, 20, 45, 123, 288, 276, 318, 282, 102, 64, 13, 3, 0], [0, 2, 20, 45, 124, 280, 304, 262, 352, 46, 92, 5, 4, 0], [0, 2, 20, 46, 113, 332, 164, 500, 86, 242, 0, 30, 1, 0], [0, 2, 20, 46, 114, 324, 192, 444, 156, 186, 28, 22, 2, 0], [0, 2, 20, 46, 115, 316, 220, 388, 226, 130, 56, 14, 3, 0], [0, 2, 20, 46, 116, 308, 248, 332, 296, 74, 84, 6, 4, 0], [0, 2, 20, 47, 106, 352, 136, 514, 100, 214, 20, 23, 2, 0], [0, 2, 20, 47, 107, 344, 164, 458, 170, 158, 48, 15, 3, 0], [0, 2, 20, 47, 108, 336, 192, 402, 240, 102, 76, 7, 4, 0], [0, 2, 20, 48, 98, 380, 80, 584, 44, 242, 12, 24, 2, 0], [0, 2, 20, 48, 99, 372, 108, 528, 114, 186, 40, 16, 3, 0], [0, 2, 20, 48, 100, 364, 136, 472, 184, 130, 68, 8, 4, 0], [0, 2, 20, 48, 101, 356, 164, 416, 254, 74, 96, 0, 5, 0], [0, 2, 20, 49, 91, 400, 52, 598, 58, 214, 32, 17, 3, 0], [0, 2, 20, 49, 92, 392, 80, 542, 128, 158, 60, 9, 4, 0], [0, 2, 20, 49, 93, 384, 108, 486, 198, 102, 88, 1, 5, 0], [0, 2, 20, 49, 96, 361, 184, 346, 352, 4, 116, 5, 0, 1], [0, 2, 20, 50, 84, 420, 24, 612, 72, 186, 52, 10, 4, 0], [0, 2, 20, 50, 85, 412, 52, 556, 142, 130, 80, 2, 5, 0], [0, 2, 20, 50, 88, 389, 128, 416, 296, 32, 108, 6, 0, 1], [0, 2, 20, 51, 80, 417, 72, 486, 240, 60, 100, 7, 0, 1], [0, 2, 20, 52, 72, 445, 16, 556, 184, 88, 92, 8, 0, 1], [0, 2, 20, 52, 73, 437, 44, 500, 254, 32, 120, 0, 1, 1], [0, 2, 21, 31, 196, 88, 598, 10, 436, 94, 29, 31, 0, 0], [0, 2, 21, 32, 188, 116, 542, 80, 380, 122, 21, 32, 0, 0], [0, 2, 21, 32, 189, 108, 570, 24, 450, 66, 49, 24, 1, 0], [0, 2, 21, 33, 180, 144, 486, 150, 324, 150, 13, 33, 0, 0], [0, 2, 21, 33, 181, 136, 514, 94, 394, 94, 41, 25, 1, 0], [0, 2, 21, 33, 182, 128, 542, 38, 464, 38, 69, 17, 2, 0], [0, 2, 21, 34, 172, 172, 430, 220, 268, 178, 5, 34, 0, 0], [0, 2, 21, 34, 173, 164, 458, 164, 338, 122, 33, 26, 1, 0], [0, 2, 21, 34, 174, 156, 486, 108, 408, 66, 61, 18, 2, 0], [0, 2, 21, 34, 175, 148, 514, 52, 478, 10, 89, 10, 3, 0], [0, 2, 21, 35, 165, 192, 402, 234, 282, 150, 25, 27, 1, 0], [0, 2, 21, 35, 166, 184, 430, 178, 352, 94, 53, 19, 2, 0], [0, 2, 21, 35, 167, 176, 458, 122, 422, 38, 81, 11, 3, 0], [0, 2, 21, 36, 157, 220, 346, 304, 226, 178, 17, 28, 1, 0], [0, 2, 21, 36, 158, 212, 374, 248, 296, 122, 45, 20, 2, 0], [0, 2, 21, 36, 159, 204, 402, 192, 366, 66, 73, 12, 3, 0], [0, 2, 21, 36, 160, 196, 430, 136, 436, 10, 101, 4, 4, 0], [0, 2, 21, 37, 149, 248, 290, 374, 170, 206, 9, 29, 1, 0], [0, 2, 21, 37, 150, 240, 318, 318, 240, 150, 37, 21, 2, 0], [0, 2, 21, 37, 151, 232, 346, 262, 310, 94, 65, 13, 3, 0], [0, 2, 21, 37, 152, 224, 374, 206, 380, 38, 93, 5, 4, 0], [0, 2, 21, 38, 141, 276, 234, 444, 114, 234, 1, 30, 1, 0], [0, 2, 21, 38, 142, 268, 262, 388, 184, 178, 29, 22, 2, 0], [0, 2, 21, 38, 143, 260, 290, 332, 254, 122, 57, 14, 3, 0], [0, 2, 21, 38, 144, 252, 318, 276, 324, 66, 85, 6, 4, 0], [0, 2, 21, 39, 134, 296, 206, 458, 128, 206, 21, 23, 2, 0], [0, 2, 21, 39, 135, 288, 234, 402, 198, 150, 49, 15, 3, 0], [0, 2, 21, 39, 136, 280, 262, 346, 268, 94, 77, 7, 4, 0], [0, 2, 21, 40, 126, 324, 150, 528, 72, 234, 13, 24, 2, 0], [0, 2, 21, 40, 127, 316, 178, 472, 142, 178, 41, 16, 3, 0], [0, 2, 21, 40, 128, 308, 206, 416, 212, 122, 69, 8, 4, 0], [0, 2, 21, 40, 129, 300, 234, 360, 282, 66, 97, 0, 5, 0], [0, 2, 21, 41, 118, 352, 94, 598, 16, 262, 5, 25, 2, 0], [0, 2, 21, 41, 119, 344, 122, 542, 86, 206, 33, 17, 3, 0], [0, 2, 21, 41, 120, 336, 150, 486, 156, 150, 61, 9, 4, 0], [0, 2, 21, 41, 121, 328, 178, 430, 226, 94, 89, 1, 5, 0], [0, 2, 21, 42, 111, 372, 66, 612, 30, 234, 25, 18, 3, 0], [0, 2, 21, 42, 112, 364, 94, 556, 100, 178, 53, 10, 4, 0], [0, 2, 21, 42, 113, 356, 122, 500, 170, 122, 81, 2, 5, 0], [0, 2, 21, 42, 116, 333, 198, 360, 324, 24, 109, 6, 0, 1], [0, 2, 21, 43, 104, 392, 38, 626, 44, 206, 45, 11, 4, 0], [0, 2, 21, 43, 105, 384, 66, 570, 114, 150, 73, 3, 5, 0], [0, 2, 21, 43, 108, 361, 142, 430, 268, 52, 101, 7, 0, 1], [0, 2, 21, 44, 97, 412, 10, 640, 58, 178, 65, 4, 5, 0], [0, 2, 21, 44, 100, 389, 86, 500, 212, 80, 93, 8, 0, 1], [0, 2, 21, 44, 101, 381, 114, 444, 282, 24, 121, 0, 1, 1], [0, 2, 21, 45, 92, 417, 30, 570, 156, 108, 85, 9, 0, 1], [0, 2, 21, 45, 93, 409, 58, 514, 226, 52, 113, 1, 1, 1], [0, 2, 21, 46, 85, 437, 2, 584, 170, 80, 105, 2, 1, 1], [0, 2, 22, 24, 216, 60, 612, 24, 408, 114, 22, 32, 0, 0], [0, 2, 22, 25, 208, 88, 556, 94, 352, 142, 14, 33, 0, 0], [0, 2, 22, 25, 209, 80, 584, 38, 422, 86, 42, 25, 1, 0], [0, 2, 22, 26, 200, 116, 500, 164, 296, 170, 6, 34, 0, 0], [0, 2, 22, 26, 201, 108, 528, 108, 366, 114, 34, 26, 1, 0], [0, 2, 22, 26, 202, 100, 556, 52, 436, 58, 62, 18, 2, 0], [0, 2, 22, 27, 193, 136, 472, 178, 310, 142, 26, 27, 1, 0], [0, 2, 22, 27, 194, 128, 500, 122, 380, 86, 54, 19, 2, 0], [0, 2, 22, 27, 195, 120, 528, 66, 450, 30, 82, 11, 3, 0], [0, 2, 22, 28, 185, 164, 416, 248, 254, 170, 18, 28, 1, 0], [0, 2, 22, 28, 186, 156, 444, 192, 324, 114, 46, 20, 2, 0], [0, 2, 22, 28, 187, 148, 472, 136, 394, 58, 74, 12, 3, 0], [0, 2, 22, 28, 188, 140, 500, 80, 464, 2, 102, 4, 4, 0], [0, 2, 22, 29, 177, 192, 360, 318, 198, 198, 10, 29, 1, 0], [0, 2, 22, 29, 178, 184, 388, 262, 268, 142, 38, 21, 2, 0], [0, 2, 22, 29, 179, 176, 416, 206, 338, 86, 66, 13, 3, 0], [0, 2, 22, 29, 180, 168, 444, 150, 408, 30, 94, 5, 4, 0], [0, 2, 22, 30, 169, 220, 304, 388, 142, 226, 2, 30, 1, 0], [0, 2, 22, 30, 170, 212, 332, 332, 212, 170, 30, 22, 2, 0], [0, 2, 22, 30, 171, 204, 360, 276, 282, 114, 58, 14, 3, 0], [0, 2, 22, 30, 172, 196, 388, 220, 352, 58, 86, 6, 4, 0], [0, 2, 22, 31, 162, 240, 276, 402, 156, 198, 22, 23, 2, 0], [0, 2, 22, 31, 163, 232, 304, 346, 226, 142, 50, 15, 3, 0], [0, 2, 22, 31, 164, 224, 332, 290, 296, 86, 78, 7, 4, 0], [0, 2, 22, 32, 154, 268, 220, 472, 100, 226, 14, 24, 2, 0], [0, 2, 22, 32, 155, 260, 248, 416, 170, 170, 42, 16, 3, 0], [0, 2, 22, 32, 156, 252, 276, 360, 240, 114, 70, 8, 4, 0], [0, 2, 22, 32, 157, 244, 304, 304, 310, 58, 98, 0, 5, 0], [0, 2, 22, 33, 146, 296, 164, 542, 44, 254, 6, 25, 2, 0], [0, 2, 22, 33, 147, 288, 192, 486, 114, 198, 34, 17, 3, 0], [0, 2, 22, 33, 148, 280, 220, 430, 184, 142, 62, 9, 4, 0], [0, 2, 22, 33, 149, 272, 248, 374, 254, 86, 90, 1, 5, 0], [0, 2, 22, 34, 139, 316, 136, 556, 58, 226, 26, 18, 3, 0], [0, 2, 22, 34, 140, 308, 164, 500, 128, 170, 54, 10, 4, 0], [0, 2, 22, 34, 141, 300, 192, 444, 198, 114, 82, 2, 5, 0], [0, 2, 22, 34, 144, 277, 268, 304, 352, 16, 110, 6, 0, 1], [0, 2, 22, 35, 131, 344, 80, 626, 2, 254, 18, 19, 3, 0], [0, 2, 22, 35, 132, 336, 108, 570, 72, 198, 46, 11, 4, 0], [0, 2, 22, 35, 133, 328, 136, 514, 142, 142, 74, 3, 5, 0], [0, 2, 22, 35, 136, 305, 212, 374, 296, 44, 102, 7, 0, 1], [0, 2, 22, 36, 124, 364, 52, 640, 16, 226, 38, 12, 4, 0], [0, 2, 22, 36, 125, 356, 80, 584, 86, 170, 66, 4, 5, 0], [0, 2, 22, 36, 128, 333, 156, 444, 240, 72, 94, 8, 0, 1], [0, 2, 22, 36, 129, 325, 184, 388, 310, 16, 122, 0, 1, 1], [0, 2, 22, 37, 117, 384, 24, 654, 30, 198, 58, 5, 5, 0], [0, 2, 22, 37, 120, 361, 100, 514, 184, 100, 86, 9, 0, 1], [0, 2, 22, 37, 121, 353, 128, 458, 254, 44, 114, 1, 1, 1], [0, 2, 22, 38, 112, 389, 44, 584, 128, 128, 78, 10, 0, 1], [0, 2, 22, 38, 113, 381, 72, 528, 198, 72, 106, 2, 1, 1], [0, 2, 22, 39, 105, 409, 16, 598, 142, 100, 98, 3, 1, 1], [0, 2, 23, 17, 236, 32, 626, 38, 380, 134, 15, 33, 0, 0], [0, 2, 23, 18, 228, 60, 570, 108, 324, 162, 7, 34, 0, 0], [0, 2, 23, 18, 229, 52, 598, 52, 394, 106, 35, 26, 1, 0], [0, 2, 23, 19, 221, 80, 542, 122, 338, 134, 27, 27, 1, 0], [0, 2, 23, 19, 222, 72, 570, 66, 408, 78, 55, 19, 2, 0], [0, 2, 23, 19, 223, 64, 598, 10, 478, 22, 83, 11, 3, 0], [0, 2, 23, 20, 213, 108, 486, 192, 282, 162, 19, 28, 1, 0], [0, 2, 23, 20, 214, 100, 514, 136, 352, 106, 47, 20, 2, 0], [0, 2, 23, 20, 215, 92, 542, 80, 422, 50, 75, 12, 3, 0], [0, 2, 23, 21, 205, 136, 430, 262, 226, 190, 11, 29, 1, 0], [0, 2, 23, 21, 206, 128, 458, 206, 296, 134, 39, 21, 2, 0], [0, 2, 23, 21, 207, 120, 486, 150, 366, 78, 67, 13, 3, 0], [0, 2, 23, 21, 208, 112, 514, 94, 436, 22, 95, 5, 4, 0], [0, 2, 23, 22, 197, 164, 374, 332, 170, 218, 3, 30, 1, 0], [0, 2, 23, 22, 198, 156, 402, 276, 240, 162, 31, 22, 2, 0], [0, 2, 23, 22, 199, 148, 430, 220, 310, 106, 59, 14, 3, 0], [0, 2, 23, 22, 200, 140, 458, 164, 380, 50, 87, 6, 4, 0], [0, 2, 23, 23, 190, 184, 346, 346, 184, 190, 23, 23, 2, 0], [0, 2, 23, 23, 191, 176, 374, 290, 254, 134, 51, 15, 3, 0], [0, 2, 23, 23, 192, 168, 402, 234, 324, 78, 79, 7, 4, 0], [0, 2, 23, 24, 182, 212, 290, 416, 128, 218, 15, 24, 2, 0], [0, 2, 23, 24, 183, 204, 318, 360, 198, 162, 43, 16, 3, 0], [0, 2, 23, 24, 184, 196, 346, 304, 268, 106, 71, 8, 4, 0], [0, 2, 23, 24, 185, 188, 374, 248, 338, 50, 99, 0, 5, 0], [0, 2, 23, 25, 174, 240, 234, 486, 72, 246, 7, 25, 2, 0], [0, 2, 23, 25, 175, 232, 262, 430, 142, 190, 35, 17, 3, 0], [0, 2, 23, 25, 176, 224, 290, 374, 212, 134, 63, 9, 4, 0], [0, 2, 23, 25, 177, 216, 318, 318, 282, 78, 91, 1, 5, 0], [0, 2, 23, 26, 167, 260, 206, 500, 86, 218, 27, 18, 3, 0], [0, 2, 23, 26, 168, 252, 234, 444, 156, 162, 55, 10, 4, 0], [0, 2, 23, 26, 169, 244, 262, 388, 226, 106, 83, 2, 5, 0], [0, 2, 23, 26, 172, 221, 338, 248, 380, 8, 111, 6, 0, 1], [0, 2, 23, 27, 159, 288, 150, 570, 30, 246, 19, 19, 3, 0], [0, 2, 23, 27, 160, 280, 178, 514, 100, 190, 47, 11, 4, 0], [0, 2, 23, 27, 161, 272, 206, 458, 170, 134, 75, 3, 5, 0], [0, 2, 23, 27, 164, 249, 282, 318, 324, 36, 103, 7, 0, 1], [0, 2, 23, 28, 152, 308, 122, 584, 44, 218, 39, 12, 4, 0], [0, 2, 23, 28, 153, 300, 150, 528, 114, 162, 67, 4, 5, 0], [0, 2, 23, 28, 156, 277, 226, 388, 268, 64, 95, 8, 0, 1], [0, 2, 23, 28, 157, 269, 254, 332, 338, 8, 123, 0, 1, 1], [0, 2, 23, 29, 145, 328, 94, 598, 58, 190, 59, 5, 5, 0], [0, 2, 23, 29, 148, 305, 170, 458, 212, 92, 87, 9, 0, 1], [0, 2, 23, 29, 149, 297, 198, 402, 282, 36, 115, 1, 1, 1], [0, 2, 23, 30, 137, 356, 38, 668, 2, 218, 51, 6, 5, 0], [0, 2, 23, 30, 140, 333, 114, 528, 156, 120, 79, 10, 0, 1], [0, 2, 23, 30, 141, 325, 142, 472, 226, 64, 107, 2, 1, 1], [0, 2, 23, 31, 132, 361, 58, 598, 100, 148, 71, 11, 0, 1], [0, 2, 23, 31, 133, 353, 86, 542, 170, 92, 99, 3, 1, 1], [0, 2, 23, 32, 124, 389, 2, 668, 44, 176, 63, 12, 0, 1], [0, 2, 23, 32, 125, 381, 30, 612, 114, 120, 91, 4, 1, 1], [0, 2, 24, 10, 256, 4, 640, 52, 352, 154, 8, 34, 0, 0], [0, 2, 24, 11, 248, 32, 584, 122, 296, 182, 0, 35, 0, 0], [0, 2, 24, 11, 249, 24, 612, 66, 366, 126, 28, 27, 1, 0], [0, 2, 24, 11, 250, 16, 640, 10, 436, 70, 56, 19, 2, 0], [0, 2, 24, 12, 241, 52, 556, 136, 310, 154, 20, 28, 1, 0], [0, 2, 24, 12, 242, 44, 584, 80, 380, 98, 48, 20, 2, 0], [0, 2, 24, 12, 243, 36, 612, 24, 450, 42, 76, 12, 3, 0], [0, 2, 24, 13, 233, 80, 500, 206, 254, 182, 12, 29, 1, 0], [0, 2, 24, 13, 234, 72, 528, 150, 324, 126, 40, 21, 2, 0], [0, 2, 24, 13, 235, 64, 556, 94, 394, 70, 68, 13, 3, 0], [0, 2, 24, 13, 236, 56, 584, 38, 464, 14, 96, 5, 4, 0], [0, 2, 24, 14, 225, 108, 444, 276, 198, 210, 4, 30, 1, 0], [0, 2, 24, 14, 226, 100, 472, 220, 268, 154, 32, 22, 2, 0], [0, 2, 24, 14, 227, 92, 500, 164, 338, 98, 60, 14, 3, 0], [0, 2, 24, 14, 228, 84, 528, 108, 408, 42, 88, 6, 4, 0], [0, 2, 24, 15, 218, 128, 416, 290, 212, 182, 24, 23, 2, 0], [0, 2, 24, 15, 219, 120, 444, 234, 282, 126, 52, 15, 3, 0], [0, 2, 24, 15, 220, 112, 472, 178, 352, 70, 80, 7, 4, 0], [0, 2, 24, 16, 210, 156, 360, 360, 156, 210, 16, 24, 2, 0], [0, 2, 24, 16, 211, 148, 388, 304, 226, 154, 44, 16, 3, 0], [0, 2, 24, 16, 212, 140, 416, 248, 296, 98, 72, 8, 4, 0], [0, 2, 24, 16, 213, 132, 444, 192, 366, 42, 100, 0, 5, 0], [0, 2, 24, 17, 202, 184, 304, 430, 100, 238, 8, 25, 2, 0], [0, 2, 24, 17, 203, 176, 332, 374, 170, 182, 36, 17, 3, 0], [0, 2, 24, 17, 204, 168, 360, 318, 240, 126, 64, 9, 4, 0], [0, 2, 24, 17, 205, 160, 388, 262, 310, 70, 92, 1, 5, 0], [0, 2, 24, 18, 194, 212, 248, 500, 44, 266, 0, 26, 2, 0], [0, 2, 24, 18, 195, 204, 276, 444, 114, 210, 28, 18, 3, 0], [0, 2, 24, 18, 196, 196, 304, 388, 184, 154, 56, 10, 4, 0], [0, 2, 24, 18, 197, 188, 332, 332, 254, 98, 84, 2, 5, 0], [0, 2, 24, 18, 200, 165, 408, 192, 408, 0, 112, 6, 0, 1], [0, 2, 24, 19, 187, 232, 220, 514, 58, 238, 20, 19, 3, 0], [0, 2, 24, 19, 188, 224, 248, 458, 128, 182, 48, 11, 4, 0], [0, 2, 24, 19, 189, 216, 276, 402, 198, 126, 76, 3, 5, 0], [0, 2, 24, 19, 192, 193, 352, 262, 352, 28, 104, 7, 0, 1], [0, 2, 24, 20, 179, 260, 164, 584, 2, 266, 12, 20, 3, 0], [0, 2, 24, 20, 180, 252, 192, 528, 72, 210, 40, 12, 4, 0], [0, 2, 24, 20, 181, 244, 220, 472, 142, 154, 68, 4, 5, 0], [0, 2, 24, 20, 184, 221, 296, 332, 296, 56, 96, 8, 0, 1], [0, 2, 24, 20, 185, 213, 324, 276, 366, 0, 124, 0, 1, 1], [0, 2, 24, 21, 172, 280, 136, 598, 16, 238, 32, 13, 4, 0], [0, 2, 24, 21, 173, 272, 164, 542, 86, 182, 60, 5, 5, 0], [0, 2, 24, 21, 176, 249, 240, 402, 240, 84, 88, 9, 0, 1], [0, 2, 24, 21, 177, 241, 268, 346, 310, 28, 116, 1, 1, 1], [0, 2, 24, 22, 165, 300, 108, 612, 30, 210, 52, 6, 5, 0], [0, 2, 24, 22, 168, 277, 184, 472, 184, 112, 80, 10, 0, 1], [0, 2, 24, 22, 169, 269, 212, 416, 254, 56, 108, 2, 1, 1], [0, 2, 24, 23, 160, 305, 128, 542, 128, 140, 72, 11, 0, 1], [0, 2, 24, 23, 161, 297, 156, 486, 198, 84, 100, 3, 1, 1], [0, 2, 24, 24, 152, 333, 72, 612, 72, 168, 64, 12, 0, 1], [0, 2, 24, 24, 153, 325, 100, 556, 142, 112, 92, 4, 1, 1], [0, 2, 24, 25, 144, 361, 16, 682, 16, 196, 56, 13, 0, 1], [0, 2, 24, 25, 145, 353, 44, 626, 86, 140, 84, 5, 1, 1], [0, 2, 25, 5, 261, 24, 570, 150, 282, 174, 13, 29, 1, 0], [0, 2, 25, 5, 262, 16, 598, 94, 352, 118, 41, 21, 2, 0], [0, 2, 25, 5, 263, 8, 626, 38, 422, 62, 69, 13, 3, 0], [0, 2, 25, 6, 253, 52, 514, 220, 226, 202, 5, 30, 1, 0], [0, 2, 25, 6, 254, 44, 542, 164, 296, 146, 33, 22, 2, 0], [0, 2, 25, 6, 255, 36, 570, 108, 366, 90, 61, 14, 3, 0], [0, 2, 25, 6, 256, 28, 598, 52, 436, 34, 89, 6, 4, 0], [0, 2, 25, 7, 246, 72, 486, 234, 240, 174, 25, 23, 2, 0], [0, 2, 25, 7, 247, 64, 514, 178, 310, 118, 53, 15, 3, 0], [0, 2, 25, 7, 248, 56, 542, 122, 380, 62, 81, 7, 4, 0], [0, 2, 25, 8, 238, 100, 430, 304, 184, 202, 17, 24, 2, 0], [0, 2, 25, 8, 239, 92, 458, 248, 254, 146, 45, 16, 3, 0], [0, 2, 25, 8, 240, 84, 486, 192, 324, 90, 73, 8, 4, 0], [0, 2, 25, 8, 241, 76, 514, 136, 394, 34, 101, 0, 5, 0], [0, 2, 25, 9, 230, 128, 374, 374, 128, 230, 9, 25, 2, 0], [0, 2, 25, 9, 231, 120, 402, 318, 198, 174, 37, 17, 3, 0], [0, 2, 25, 9, 232, 112, 430, 262, 268, 118, 65, 9, 4, 0], [0, 2, 25, 9, 233, 104, 458, 206, 338, 62, 93, 1, 5, 0], [0, 2, 25, 10, 222, 156, 318, 444, 72, 258, 1, 26, 2, 0], [0, 2, 25, 10, 223, 148, 346, 388, 142, 202, 29, 18, 3, 0], [0, 2, 25, 10, 224, 140, 374, 332, 212, 146, 57, 10, 4, 0], [0, 2, 25, 10, 225, 132, 402, 276, 282, 90, 85, 2, 5, 0], [0, 2, 25, 11, 215, 176, 290, 458, 86, 230, 21, 19, 3, 0], [0, 2, 25, 11, 216, 168, 318, 402, 156, 174, 49, 11, 4, 0], [0, 2, 25, 11, 217, 160, 346, 346, 226, 118, 77, 3, 5, 0], [0, 2, 25, 11, 220, 137, 422, 206, 380, 20, 105, 7, 0, 1], [0, 2, 25, 12, 207, 204, 234, 528, 30, 258, 13, 20, 3, 0], [0, 2, 25, 12, 208, 196, 262, 472, 100, 202, 41, 12, 4, 0], [0, 2, 25, 12, 209, 188, 290, 416, 170, 146, 69, 4, 5, 0], [0, 2, 25, 12, 212, 165, 366, 276, 324, 48, 97, 8, 0, 1], [0, 2, 25, 13, 200, 224, 206, 542, 44, 230, 33, 13, 4, 0], [0, 2, 25, 13, 201, 216, 234, 486, 114, 174, 61, 5, 5, 0], [0, 2, 25, 13, 204, 193, 310, 346, 268, 76, 89, 9, 0, 1], [0, 2, 25, 13, 205, 185, 338, 290, 338, 20, 117, 1, 1, 1], [0, 2, 25, 14, 193, 244, 178, 556, 58, 202, 53, 6, 5, 0], [0, 2, 25, 14, 196, 221, 254, 416, 212, 104, 81, 10, 0, 1], [0, 2, 25, 14, 197, 213, 282, 360, 282, 48, 109, 2, 1, 1], [0, 2, 25, 15, 185, 272, 122, 626, 2, 230, 45, 7, 5, 0], [0, 2, 25, 15, 188, 249, 198, 486, 156, 132, 73, 11, 0, 1], [0, 2, 25, 15, 189, 241, 226, 430, 226, 76, 101, 3, 1, 1], [0, 2, 25, 16, 178, 292, 94, 640, 16, 202, 65, 0, 6, 0], [0, 2, 25, 16, 180, 277, 142, 556, 100, 160, 65, 12, 0, 1], [0, 2, 25, 16, 181, 269, 170, 500, 170, 104, 93, 4, 1, 1], [0, 2, 25, 17, 172, 305, 86, 626, 44, 188, 57, 13, 0, 1], [0, 2, 25, 17, 173, 297, 114, 570, 114, 132, 85, 5, 1, 1], [0, 2, 25, 18, 165, 325, 58, 640, 58, 160, 77, 6, 1, 1], [0, 2, 25, 19, 157, 353, 2, 710, 2, 188, 69, 7, 1, 1], [0, 2, 26, 0, 266, 44, 500, 248, 212, 194, 18, 24, 2, 0], [0, 2, 26, 0, 267, 36, 528, 192, 282, 138, 46, 16, 3, 0], [0, 2, 26, 0, 268, 28, 556, 136, 352, 82, 74, 8, 4, 0], [0, 2, 26, 0, 269, 20, 584, 80, 422, 26, 102, 0, 5, 0], [0, 2, 26, 1, 258, 72, 444, 318, 156, 222, 10, 25, 2, 0], [0, 2, 26, 1, 259, 64, 472, 262, 226, 166, 38, 17, 3, 0], [0, 2, 26, 1, 260, 56, 500, 206, 296, 110, 66, 9, 4, 0], [0, 2, 26, 1, 261, 48, 528, 150, 366, 54, 94, 1, 5, 0], [0, 2, 26, 2, 250, 100, 388, 388, 100, 250, 2, 26, 2, 0], [0, 2, 26, 2, 251, 92, 416, 332, 170, 194, 30, 18, 3, 0], [0, 2, 26, 2, 252, 84, 444, 276, 240, 138, 58, 10, 4, 0], [0, 2, 26, 2, 253, 76, 472, 220, 310, 82, 86, 2, 5, 0], [0, 2, 26, 3, 243, 120, 360, 402, 114, 222, 22, 19, 3, 0], [0, 2, 26, 3, 244, 112, 388, 346, 184, 166, 50, 11, 4, 0], [0, 2, 26, 3, 245, 104, 416, 290, 254, 110, 78, 3, 5, 0], [0, 2, 26, 3, 248, 81, 492, 150, 408, 12, 106, 7, 0, 1], [0, 2, 26, 4, 235, 148, 304, 472, 58, 250, 14, 20, 3, 0], [0, 2, 26, 4, 236, 140, 332, 416, 128, 194, 42, 12, 4, 0], [0, 2, 26, 4, 237, 132, 360, 360, 198, 138, 70, 4, 5, 0], [0, 2, 26, 4, 240, 109, 436, 220, 352, 40, 98, 8, 0, 1], [0, 2, 26, 5, 227, 176, 248, 542, 2, 278, 6, 21, 3, 0], [0, 2, 26, 5, 228, 168, 276, 486, 72, 222, 34, 13, 4, 0], [0, 2, 26, 5, 229, 160, 304, 430, 142, 166, 62, 5, 5, 0], [0, 2, 26, 5, 232, 137, 380, 290, 296, 68, 90, 9, 0, 1], [0, 2, 26, 5, 233, 129, 408, 234, 366, 12, 118, 1, 1, 1], [0, 2, 26, 6, 220, 196, 220, 556, 16, 250, 26, 14, 4, 0], [0, 2, 26, 6, 221, 188, 248, 500, 86, 194, 54, 6, 5, 0], [0, 2, 26, 6, 224, 165, 324, 360, 240, 96, 82, 10, 0, 1], [0, 2, 26, 6, 225, 157, 352, 304, 310, 40, 110, 2, 1, 1], [0, 2, 26, 7, 213, 216, 192, 570, 30, 222, 46, 7, 5, 0], [0, 2, 26, 7, 216, 193, 268, 430, 184, 124, 74, 11, 0, 1], [0, 2, 26, 7, 217, 185, 296, 374, 254, 68, 102, 3, 1, 1], [0, 2, 26, 8, 206, 236, 164, 584, 44, 194, 66, 0, 6, 0], [0, 2, 26, 8, 208, 221, 212, 500, 128, 152, 66, 12, 0, 1], [0, 2, 26, 8, 209, 213, 240, 444, 198, 96, 94, 4, 1, 1], [0, 2, 26, 9, 200, 249, 156, 570, 72, 180, 58, 13, 0, 1], [0, 2, 26, 9, 201, 241, 184, 514, 142, 124, 86, 5, 1, 1], [0, 2, 26, 10, 192, 277, 100, 640, 16, 208, 50, 14, 0, 1], [0, 2, 26, 10, 193, 269, 128, 584, 86, 152, 78, 6, 1, 1], [0, 2, 26, 11, 185, 297, 72, 654, 30, 180, 70, 7, 1, 1], [0, 2, 26, 12, 178, 317, 44, 668, 44, 152, 90, 0, 2, 1], [0, 2, 27, 0, 233, 188, 206, 584, 2, 242, 39, 8, 5, 0], [0, 2, 27, 0, 234, 180, 234, 528, 72, 186, 67, 0, 6, 0], [0, 2, 27, 0, 236, 165, 282, 444, 156, 144, 67, 12, 0, 1], [0, 2, 27, 0, 237, 157, 310, 388, 226, 88, 95, 4, 1, 1], [0, 2, 27, 1, 226, 208, 178, 598, 16, 214, 59, 1, 6, 0], [0, 2, 27, 1, 228, 193, 226, 514, 100, 172, 59, 13, 0, 1], [0, 2, 27, 1, 229, 185, 254, 458, 170, 116, 87, 5, 1, 1], [0, 2, 27, 2, 220, 221, 170, 584, 44, 200, 51, 14, 0, 1], [0, 2, 27, 2, 221, 213, 198, 528, 114, 144, 79, 6, 1, 1], [0, 2, 27, 3, 213, 241, 142, 598, 58, 172, 71, 7, 1, 1], [0, 2, 27, 4, 205, 269, 86, 668, 2, 200, 63, 8, 1, 1], [0, 2, 27, 4, 206, 261, 114, 612, 72, 144, 91, 0, 2, 1], [0, 2, 27, 5, 198, 289, 58, 682, 16, 172, 83, 1, 2, 1], [0, 3, 7, 102, 12, 354, 402, 24, 540, 3, 63, 26, 0, 0], [0, 3, 7, 103, 4, 382, 346, 94, 484, 31, 55, 27, 0, 0], [0, 3, 8, 95, 32, 326, 416, 38, 512, 23, 56, 27, 0, 0], [0, 3, 8, 96, 24, 354, 360, 108, 456, 51, 48, 28, 0, 0], [0, 3, 8, 97, 16, 382, 304, 178, 400, 79, 40, 29, 0, 0], [0, 3, 8, 97, 17, 374, 332, 122, 470, 23, 68, 21, 1, 0], [0, 3, 8, 98, 8, 410, 248, 248, 344, 107, 32, 30, 0, 0], [0, 3, 8, 98, 9, 402, 276, 192, 414, 51, 60, 22, 1, 0], [0, 3, 8, 99, 0, 438, 192, 318, 288, 135, 24, 31, 0, 0], [0, 3, 8, 99, 1, 430, 220, 262, 358, 79, 52, 23, 1, 0], [0, 3, 8, 99, 2, 422, 248, 206, 428, 23, 80, 15, 2, 0], [0, 3, 9, 88, 52, 298, 430, 52, 484, 43, 49, 28, 0, 0], [0, 3, 9, 89, 44, 326, 374, 122, 428, 71, 41, 29, 0, 0], [0, 3, 9, 89, 45, 318, 402, 66, 498, 15, 69, 21, 1, 0], [0, 3, 9, 90, 36, 354, 318, 192, 372, 99, 33, 30, 0, 0], [0, 3, 9, 90, 37, 346, 346, 136, 442, 43, 61, 22, 1, 0], [0, 3, 9, 91, 28, 382, 262, 262, 316, 127, 25, 31, 0, 0], [0, 3, 9, 91, 29, 374, 290, 206, 386, 71, 53, 23, 1, 0], [0, 3, 9, 91, 30, 366, 318, 150, 456, 15, 81, 15, 2, 0], [0, 3, 9, 92, 20, 410, 206, 332, 260, 155, 17, 32, 0, 0], [0, 3, 9, 92, 21, 402, 234, 276, 330, 99, 45, 24, 1, 0], [0, 3, 9, 92, 22, 394, 262, 220, 400, 43, 73, 16, 2, 0], [0, 3, 9, 93, 12, 438, 150, 402, 204, 183, 9, 33, 0, 0], [0, 3, 9, 93, 13, 430, 178, 346, 274, 127, 37, 25, 1, 0], [0, 3, 9, 93, 14, 422, 206, 290, 344, 71, 65, 17, 2, 0], [0, 3, 9, 93, 15, 414, 234, 234, 414, 15, 93, 9, 3, 0], [0, 3, 9, 94, 4, 466, 94, 472, 148, 211, 1, 34, 0, 0], [0, 3, 9, 94, 5, 458, 122, 416, 218, 155, 29, 26, 1, 0], [0, 3, 9, 94, 6, 450, 150, 360, 288, 99, 57, 18, 2, 0], [0, 3, 9, 94, 7, 442, 178, 304, 358, 43, 85, 10, 3, 0], [0, 3, 9, 95, 0, 462, 150, 318, 372, 15, 105, 3, 4, 0], [0, 3, 10, 81, 72, 270, 444, 66, 456, 63, 42, 29, 0, 0], [0, 3, 10, 81, 73, 262, 472, 10, 526, 7, 70, 21, 1, 0], [0, 3, 10, 82, 64, 298, 388, 136, 400, 91, 34, 30, 0, 0], [0, 3, 10, 82, 65, 290, 416, 80, 470, 35, 62, 22, 1, 0], [0, 3, 10, 83, 56, 326, 332, 206, 344, 119, 26, 31, 0, 0], [0, 3, 10, 83, 57, 318, 360, 150, 414, 63, 54, 23, 1, 0], [0, 3, 10, 83, 58, 310, 388, 94, 484, 7, 82, 15, 2, 0], [0, 3, 10, 84, 48, 354, 276, 276, 288, 147, 18, 32, 0, 0], [0, 3, 10, 84, 49, 346, 304, 220, 358, 91, 46, 24, 1, 0], [0, 3, 10, 84, 50, 338, 332, 164, 428, 35, 74, 16, 2, 0], [0, 3, 10, 85, 40, 382, 220, 346, 232, 175, 10, 33, 0, 0], [0, 3, 10, 85, 41, 374, 248, 290, 302, 119, 38, 25, 1, 0], [0, 3, 10, 85, 42, 366, 276, 234, 372, 63, 66, 17, 2, 0], [0, 3, 10, 85, 43, 358, 304, 178, 442, 7, 94, 9, 3, 0], [0, 3, 10, 86, 32, 410, 164, 416, 176, 203, 2, 34, 0, 0], [0, 3, 10, 86, 33, 402, 192, 360, 246, 147, 30, 26, 1, 0], [0, 3, 10, 86, 34, 394, 220, 304, 316, 91, 58, 18, 2, 0], [0, 3, 10, 86, 35, 386, 248, 248, 386, 35, 86, 10, 3, 0], [0, 3, 10, 87, 25, 430, 136, 430, 190, 175, 22, 27, 1, 0], [0, 3, 10, 87, 26, 422, 164, 374, 260, 119, 50, 19, 2, 0], [0, 3, 10, 87, 27, 414, 192, 318, 330, 63, 78, 11, 3, 0], [0, 3, 10, 87, 28, 406, 220, 262, 400, 7, 106, 3, 4, 0], [0, 3, 10, 88, 17, 458, 80, 500, 134, 203, 14, 28, 1, 0], [0, 3, 10, 88, 18, 450, 108, 444, 204, 147, 42, 20, 2, 0], [0, 3, 10, 88, 19, 442, 136, 388, 274, 91, 70, 12, 3, 0], [0, 3, 10, 88, 20, 434, 164, 332, 344, 35, 98, 4, 4, 0], [0, 3, 10, 89, 9, 486, 24, 570, 78, 231, 6, 29, 1, 0], [0, 3, 10, 89, 10, 478, 52, 514, 148, 175, 34, 21, 2, 0], [0, 3, 10, 89, 11, 470, 80, 458, 218, 119, 62, 13, 3, 0], [0, 3, 10, 89, 12, 462, 108, 402, 288, 63, 90, 5, 4, 0], [0, 3, 10, 90, 3, 498, 24, 528, 162, 147, 54, 14, 3, 0], [0, 3, 10, 90, 4, 490, 52, 472, 232, 91, 82, 6, 4, 0], [0, 3, 11, 73, 100, 214, 514, 10, 484, 55, 43, 29, 0, 0], [0, 3, 11, 74, 92, 242, 458, 80, 428, 83, 35, 30, 0, 0], [0, 3, 11, 74, 93, 234, 486, 24, 498, 27, 63, 22, 1, 0], [0, 3, 11, 75, 84, 270, 402, 150, 372, 111, 27, 31, 0, 0], [0, 3, 11, 75, 85, 262, 430, 94, 442, 55, 55, 23, 1, 0], [0, 3, 11, 76, 76, 298, 346, 220, 316, 139, 19, 32, 0, 0], [0, 3, 11, 76, 77, 290, 374, 164, 386, 83, 47, 24, 1, 0], [0, 3, 11, 76, 78, 282, 402, 108, 456, 27, 75, 16, 2, 0], [0, 3, 11, 77, 68, 326, 290, 290, 260, 167, 11, 33, 0, 0], [0, 3, 11, 77, 69, 318, 318, 234, 330, 111, 39, 25, 1, 0], [0, 3, 11, 77, 70, 310, 346, 178, 400, 55, 67, 17, 2, 0], [0, 3, 11, 78, 60, 354, 234, 360, 204, 195, 3, 34, 0, 0], [0, 3, 11, 78, 61, 346, 262, 304, 274, 139, 31, 26, 1, 0], [0, 3, 11, 78, 62, 338, 290, 248, 344, 83, 59, 18, 2, 0], [0, 3, 11, 78, 63, 330, 318, 192, 414, 27, 87, 10, 3, 0], [0, 3, 11, 79, 53, 374, 206, 374, 218, 167, 23, 27, 1, 0], [0, 3, 11, 79, 54, 366, 234, 318, 288, 111, 51, 19, 2, 0], [0, 3, 11, 79, 55, 358, 262, 262, 358, 55, 79, 11, 3, 0], [0, 3, 11, 80, 45, 402, 150, 444, 162, 195, 15, 28, 1, 0], [0, 3, 11, 80, 46, 394, 178, 388, 232, 139, 43, 20, 2, 0], [0, 3, 11, 80, 47, 386, 206, 332, 302, 83, 71, 12, 3, 0], [0, 3, 11, 80, 48, 378, 234, 276, 372, 27, 99, 4, 4, 0], [0, 3, 11, 81, 37, 430, 94, 514, 106, 223, 7, 29, 1, 0], [0, 3, 11, 81, 38, 422, 122, 458, 176, 167, 35, 21, 2, 0], [0, 3, 11, 81, 39, 414, 150, 402, 246, 111, 63, 13, 3, 0], [0, 3, 11, 81, 40, 406, 178, 346, 316, 55, 91, 5, 4, 0], [0, 3, 11, 82, 30, 450, 66, 528, 120, 195, 27, 22, 2, 0], [0, 3, 11, 82, 31, 442, 94, 472, 190, 139, 55, 14, 3, 0], [0, 3, 11, 82, 32, 434, 122, 416, 260, 83, 83, 6, 4, 0], [0, 3, 11, 83, 22, 478, 10, 598, 64, 223, 19, 23, 2, 0], [0, 3, 11, 83, 23, 470, 38, 542, 134, 167, 47, 15, 3, 0], [0, 3, 11, 83, 24, 462, 66, 486, 204, 111, 75, 7, 4, 0], [0, 3, 11, 84, 16, 490, 10, 556, 148, 139, 67, 8, 4, 0], [0, 3, 11, 84, 17, 482, 38, 500, 218, 83, 95, 0, 5, 0], [0, 3, 11, 85, 12, 487, 58, 430, 316, 13, 115, 5, 0, 1], [0, 3, 11, 86, 4, 515, 2, 500, 260, 41, 107, 6, 0, 1], [0, 3, 12, 66, 120, 186, 528, 24, 456, 75, 36, 30, 0, 0], [0, 3, 12, 67, 112, 214, 472, 94, 400, 103, 28, 31, 0, 0], [0, 3, 12, 67, 113, 206, 500, 38, 470, 47, 56, 23, 1, 0], [0, 3, 12, 68, 104, 242, 416, 164, 344, 131, 20, 32, 0, 0], [0, 3, 12, 68, 105, 234, 444, 108, 414, 75, 48, 24, 1, 0], [0, 3, 12, 68, 106, 226, 472, 52, 484, 19, 76, 16, 2, 0], [0, 3, 12, 69, 96, 270, 360, 234, 288, 159, 12, 33, 0, 0], [0, 3, 12, 69, 97, 262, 388, 178, 358, 103, 40, 25, 1, 0], [0, 3, 12, 69, 98, 254, 416, 122, 428, 47, 68, 17, 2, 0], [0, 3, 12, 70, 88, 298, 304, 304, 232, 187, 4, 34, 0, 0], [0, 3, 12, 70, 89, 290, 332, 248, 302, 131, 32, 26, 1, 0], [0, 3, 12, 70, 90, 282, 360, 192, 372, 75, 60, 18, 2, 0], [0, 3, 12, 70, 91, 274, 388, 136, 442, 19, 88, 10, 3, 0], [0, 3, 12, 71, 81, 318, 276, 318, 246, 159, 24, 27, 1, 0], [0, 3, 12, 71, 82, 310, 304, 262, 316, 103, 52, 19, 2, 0], [0, 3, 12, 71, 83, 302, 332, 206, 386, 47, 80, 11, 3, 0], [0, 3, 12, 72, 73, 346, 220, 388, 190, 187, 16, 28, 1, 0], [0, 3, 12, 72, 74, 338, 248, 332, 260, 131, 44, 20, 2, 0], [0, 3, 12, 72, 75, 330, 276, 276, 330, 75, 72, 12, 3, 0], [0, 3, 12, 72, 76, 322, 304, 220, 400, 19, 100, 4, 4, 0], [0, 3, 12, 73, 65, 374, 164, 458, 134, 215, 8, 29, 1, 0], [0, 3, 12, 73, 66, 366, 192, 402, 204, 159, 36, 21, 2, 0], [0, 3, 12, 73, 67, 358, 220, 346, 274, 103, 64, 13, 3, 0], [0, 3, 12, 73, 68, 350, 248, 290, 344, 47, 92, 5, 4, 0], [0, 3, 12, 74, 57, 402, 108, 528, 78, 243, 0, 30, 1, 0], [0, 3, 12, 74, 58, 394, 136, 472, 148, 187, 28, 22, 2, 0], [0, 3, 12, 74, 59, 386, 164, 416, 218, 131, 56, 14, 3, 0], [0, 3, 12, 74, 60, 378, 192, 360, 288, 75, 84, 6, 4, 0], [0, 3, 12, 75, 50, 422, 80, 542, 92, 215, 20, 23, 2, 0], [0, 3, 12, 75, 51, 414, 108, 486, 162, 159, 48, 15, 3, 0], [0, 3, 12, 75, 52, 406, 136, 430, 232, 103, 76, 7, 4, 0], [0, 3, 12, 76, 42, 450, 24, 612, 36, 243, 12, 24, 2, 0], [0, 3, 12, 76, 43, 442, 52, 556, 106, 187, 40, 16, 3, 0], [0, 3, 12, 76, 44, 434, 80, 500, 176, 131, 68, 8, 4, 0], [0, 3, 12, 76, 45, 426, 108, 444, 246, 75, 96, 0, 5, 0], [0, 3, 12, 77, 36, 462, 24, 570, 120, 159, 60, 9, 4, 0], [0, 3, 12, 77, 37, 454, 52, 514, 190, 103, 88, 1, 5, 0], [0, 3, 12, 77, 40, 431, 128, 374, 344, 5, 116, 5, 0, 1], [0, 3, 12, 78, 32, 459, 72, 444, 288, 33, 108, 6, 0, 1], [0, 3, 12, 79, 24, 487, 16, 514, 232, 61, 100, 7, 0, 1], [0, 3, 13, 59, 140, 158, 542, 38, 428, 95, 29, 31, 0, 0], [0, 3, 13, 60, 132, 186, 486, 108, 372, 123, 21, 32, 0, 0], [0, 3, 13, 60, 133, 178, 514, 52, 442, 67, 49, 24, 1, 0], [0, 3, 13, 61, 124, 214, 430, 178, 316, 151, 13, 33, 0, 0], [0, 3, 13, 61, 125, 206, 458, 122, 386, 95, 41, 25, 1, 0], [0, 3, 13, 61, 126, 198, 486, 66, 456, 39, 69, 17, 2, 0], [0, 3, 13, 62, 116, 242, 374, 248, 260, 179, 5, 34, 0, 0], [0, 3, 13, 62, 117, 234, 402, 192, 330, 123, 33, 26, 1, 0], [0, 3, 13, 62, 118, 226, 430, 136, 400, 67, 61, 18, 2, 0], [0, 3, 13, 62, 119, 218, 458, 80, 470, 11, 89, 10, 3, 0], [0, 3, 13, 63, 109, 262, 346, 262, 274, 151, 25, 27, 1, 0], [0, 3, 13, 63, 110, 254, 374, 206, 344, 95, 53, 19, 2, 0], [0, 3, 13, 63, 111, 246, 402, 150, 414, 39, 81, 11, 3, 0], [0, 3, 13, 64, 101, 290, 290, 332, 218, 179, 17, 28, 1, 0], [0, 3, 13, 64, 102, 282, 318, 276, 288, 123, 45, 20, 2, 0], [0, 3, 13, 64, 103, 274, 346, 220, 358, 67, 73, 12, 3, 0], [0, 3, 13, 64, 104, 266, 374, 164, 428, 11, 101, 4, 4, 0], [0, 3, 13, 65, 93, 318, 234, 402, 162, 207, 9, 29, 1, 0], [0, 3, 13, 65, 94, 310, 262, 346, 232, 151, 37, 21, 2, 0], [0, 3, 13, 65, 95, 302, 290, 290, 302, 95, 65, 13, 3, 0], [0, 3, 13, 65, 96, 294, 318, 234, 372, 39, 93, 5, 4, 0], [0, 3, 13, 66, 85, 346, 178, 472, 106, 235, 1, 30, 1, 0], [0, 3, 13, 66, 86, 338, 206, 416, 176, 179, 29, 22, 2, 0], [0, 3, 13, 66, 87, 330, 234, 360, 246, 123, 57, 14, 3, 0], [0, 3, 13, 66, 88, 322, 262, 304, 316, 67, 85, 6, 4, 0], [0, 3, 13, 67, 78, 366, 150, 486, 120, 207, 21, 23, 2, 0], [0, 3, 13, 67, 79, 358, 178, 430, 190, 151, 49, 15, 3, 0], [0, 3, 13, 67, 80, 350, 206, 374, 260, 95, 77, 7, 4, 0], [0, 3, 13, 68, 70, 394, 94, 556, 64, 235, 13, 24, 2, 0], [0, 3, 13, 68, 71, 386, 122, 500, 134, 179, 41, 16, 3, 0], [0, 3, 13, 68, 72, 378, 150, 444, 204, 123, 69, 8, 4, 0], [0, 3, 13, 68, 73, 370, 178, 388, 274, 67, 97, 0, 5, 0], [0, 3, 13, 69, 62, 422, 38, 626, 8, 263, 5, 25, 2, 0], [0, 3, 13, 69, 63, 414, 66, 570, 78, 207, 33, 17, 3, 0], [0, 3, 13, 69, 64, 406, 94, 514, 148, 151, 61, 9, 4, 0], [0, 3, 13, 69, 65, 398, 122, 458, 218, 95, 89, 1, 5, 0], [0, 3, 13, 70, 55, 442, 10, 640, 22, 235, 25, 18, 3, 0], [0, 3, 13, 70, 56, 434, 38, 584, 92, 179, 53, 10, 4, 0], [0, 3, 13, 70, 57, 426, 66, 528, 162, 123, 81, 2, 5, 0], [0, 3, 13, 70, 60, 403, 142, 388, 316, 25, 109, 6, 0, 1], [0, 3, 13, 71, 49, 454, 10, 598, 106, 151, 73, 3, 5, 0], [0, 3, 13, 71, 52, 431, 86, 458, 260, 53, 101, 7, 0, 1], [0, 3, 13, 72, 44, 459, 30, 528, 204, 81, 93, 8, 0, 1], [0, 3, 13, 72, 45, 451, 58, 472, 274, 25, 121, 0, 1, 1], [0, 3, 13, 73, 37, 479, 2, 542, 218, 53, 113, 1, 1, 1], [0, 3, 14, 52, 160, 130, 556, 52, 400, 115, 22, 32, 0, 0], [0, 3, 14, 53, 152, 158, 500, 122, 344, 143, 14, 33, 0, 0], [0, 3, 14, 53, 153, 150, 528, 66, 414, 87, 42, 25, 1, 0], [0, 3, 14, 53, 154, 142, 556, 10, 484, 31, 70, 17, 2, 0], [0, 3, 14, 54, 144, 186, 444, 192, 288, 171, 6, 34, 0, 0], [0, 3, 14, 54, 145, 178, 472, 136, 358, 115, 34, 26, 1, 0], [0, 3, 14, 54, 146, 170, 500, 80, 428, 59, 62, 18, 2, 0], [0, 3, 14, 54, 147, 162, 528, 24, 498, 3, 90, 10, 3, 0], [0, 3, 14, 55, 137, 206, 416, 206, 302, 143, 26, 27, 1, 0], [0, 3, 14, 55, 138, 198, 444, 150, 372, 87, 54, 19, 2, 0], [0, 3, 14, 55, 139, 190, 472, 94, 442, 31, 82, 11, 3, 0], [0, 3, 14, 56, 129, 234, 360, 276, 246, 171, 18, 28, 1, 0], [0, 3, 14, 56, 130, 226, 388, 220, 316, 115, 46, 20, 2, 0], [0, 3, 14, 56, 131, 218, 416, 164, 386, 59, 74, 12, 3, 0], [0, 3, 14, 56, 132, 210, 444, 108, 456, 3, 102, 4, 4, 0], [0, 3, 14, 57, 121, 262, 304, 346, 190, 199, 10, 29, 1, 0], [0, 3, 14, 57, 122, 254, 332, 290, 260, 143, 38, 21, 2, 0], [0, 3, 14, 57, 123, 246, 360, 234, 330, 87, 66, 13, 3, 0], [0, 3, 14, 57, 124, 238, 388, 178, 400, 31, 94, 5, 4, 0], [0, 3, 14, 58, 113, 290, 248, 416, 134, 227, 2, 30, 1, 0], [0, 3, 14, 58, 114, 282, 276, 360, 204, 171, 30, 22, 2, 0], [0, 3, 14, 58, 115, 274, 304, 304, 274, 115, 58, 14, 3, 0], [0, 3, 14, 58, 116, 266, 332, 248, 344, 59, 86, 6, 4, 0], [0, 3, 14, 59, 106, 310, 220, 430, 148, 199, 22, 23, 2, 0], [0, 3, 14, 59, 107, 302, 248, 374, 218, 143, 50, 15, 3, 0], [0, 3, 14, 59, 108, 294, 276, 318, 288, 87, 78, 7, 4, 0], [0, 3, 14, 60, 98, 338, 164, 500, 92, 227, 14, 24, 2, 0], [0, 3, 14, 60, 99, 330, 192, 444, 162, 171, 42, 16, 3, 0], [0, 3, 14, 60, 100, 322, 220, 388, 232, 115, 70, 8, 4, 0], [0, 3, 14, 60, 101, 314, 248, 332, 302, 59, 98, 0, 5, 0], [0, 3, 14, 61, 90, 366, 108, 570, 36, 255, 6, 25, 2, 0], [0, 3, 14, 61, 91, 358, 136, 514, 106, 199, 34, 17, 3, 0], [0, 3, 14, 61, 92, 350, 164, 458, 176, 143, 62, 9, 4, 0], [0, 3, 14, 61, 93, 342, 192, 402, 246, 87, 90, 1, 5, 0], [0, 3, 14, 62, 83, 386, 80, 584, 50, 227, 26, 18, 3, 0], [0, 3, 14, 62, 84, 378, 108, 528, 120, 171, 54, 10, 4, 0], [0, 3, 14, 62, 85, 370, 136, 472, 190, 115, 82, 2, 5, 0], [0, 3, 14, 62, 88, 347, 212, 332, 344, 17, 110, 6, 0, 1], [0, 3, 14, 63, 76, 406, 52, 598, 64, 199, 46, 11, 4, 0], [0, 3, 14, 63, 77, 398, 80, 542, 134, 143, 74, 3, 5, 0], [0, 3, 14, 63, 80, 375, 156, 402, 288, 45, 102, 7, 0, 1], [0, 3, 14, 64, 69, 426, 24, 612, 78, 171, 66, 4, 5, 0], [0, 3, 14, 64, 72, 403, 100, 472, 232, 73, 94, 8, 0, 1], [0, 3, 14, 64, 73, 395, 128, 416, 302, 17, 122, 0, 1, 1], [0, 3, 14, 65, 64, 431, 44, 542, 176, 101, 86, 9, 0, 1], [0, 3, 14, 65, 65, 423, 72, 486, 246, 45, 114, 1, 1, 1], [0, 3, 14, 66, 57, 451, 16, 556, 190, 73, 106, 2, 1, 1], [0, 3, 15, 45, 180, 102, 570, 66, 372, 135, 15, 33, 0, 0], [0, 3, 15, 45, 181, 94, 598, 10, 442, 79, 43, 25, 1, 0], [0, 3, 15, 46, 172, 130, 514, 136, 316, 163, 7, 34, 0, 0], [0, 3, 15, 46, 173, 122, 542, 80, 386, 107, 35, 26, 1, 0], [0, 3, 15, 46, 174, 114, 570, 24, 456, 51, 63, 18, 2, 0], [0, 3, 15, 47, 165, 150, 486, 150, 330, 135, 27, 27, 1, 0], [0, 3, 15, 47, 166, 142, 514, 94, 400, 79, 55, 19, 2, 0], [0, 3, 15, 47, 167, 134, 542, 38, 470, 23, 83, 11, 3, 0], [0, 3, 15, 48, 157, 178, 430, 220, 274, 163, 19, 28, 1, 0], [0, 3, 15, 48, 158, 170, 458, 164, 344, 107, 47, 20, 2, 0], [0, 3, 15, 48, 159, 162, 486, 108, 414, 51, 75, 12, 3, 0], [0, 3, 15, 49, 149, 206, 374, 290, 218, 191, 11, 29, 1, 0], [0, 3, 15, 49, 150, 198, 402, 234, 288, 135, 39, 21, 2, 0], [0, 3, 15, 49, 151, 190, 430, 178, 358, 79, 67, 13, 3, 0], [0, 3, 15, 49, 152, 182, 458, 122, 428, 23, 95, 5, 4, 0], [0, 3, 15, 50, 141, 234, 318, 360, 162, 219, 3, 30, 1, 0], [0, 3, 15, 50, 142, 226, 346, 304, 232, 163, 31, 22, 2, 0], [0, 3, 15, 50, 143, 218, 374, 248, 302, 107, 59, 14, 3, 0], [0, 3, 15, 50, 144, 210, 402, 192, 372, 51, 87, 6, 4, 0], [0, 3, 15, 51, 134, 254, 290, 374, 176, 191, 23, 23, 2, 0], [0, 3, 15, 51, 135, 246, 318, 318, 246, 135, 51, 15, 3, 0], [0, 3, 15, 51, 136, 238, 346, 262, 316, 79, 79, 7, 4, 0], [0, 3, 15, 52, 126, 282, 234, 444, 120, 219, 15, 24, 2, 0], [0, 3, 15, 52, 127, 274, 262, 388, 190, 163, 43, 16, 3, 0], [0, 3, 15, 52, 128, 266, 290, 332, 260, 107, 71, 8, 4, 0], [0, 3, 15, 52, 129, 258, 318, 276, 330, 51, 99, 0, 5, 0], [0, 3, 15, 53, 118, 310, 178, 514, 64, 247, 7, 25, 2, 0], [0, 3, 15, 53, 119, 302, 206, 458, 134, 191, 35, 17, 3, 0], [0, 3, 15, 53, 120, 294, 234, 402, 204, 135, 63, 9, 4, 0], [0, 3, 15, 53, 121, 286, 262, 346, 274, 79, 91, 1, 5, 0], [0, 3, 15, 54, 111, 330, 150, 528, 78, 219, 27, 18, 3, 0], [0, 3, 15, 54, 112, 322, 178, 472, 148, 163, 55, 10, 4, 0], [0, 3, 15, 54, 113, 314, 206, 416, 218, 107, 83, 2, 5, 0], [0, 3, 15, 54, 116, 291, 282, 276, 372, 9, 111, 6, 0, 1], [0, 3, 15, 55, 103, 358, 94, 598, 22, 247, 19, 19, 3, 0], [0, 3, 15, 55, 104, 350, 122, 542, 92, 191, 47, 11, 4, 0], [0, 3, 15, 55, 105, 342, 150, 486, 162, 135, 75, 3, 5, 0], [0, 3, 15, 55, 108, 319, 226, 346, 316, 37, 103, 7, 0, 1], [0, 3, 15, 56, 96, 378, 66, 612, 36, 219, 39, 12, 4, 0], [0, 3, 15, 56, 97, 370, 94, 556, 106, 163, 67, 4, 5, 0], [0, 3, 15, 56, 100, 347, 170, 416, 260, 65, 95, 8, 0, 1], [0, 3, 15, 56, 101, 339, 198, 360, 330, 9, 123, 0, 1, 1], [0, 3, 15, 57, 89, 398, 38, 626, 50, 191, 59, 5, 5, 0], [0, 3, 15, 57, 92, 375, 114, 486, 204, 93, 87, 9, 0, 1], [0, 3, 15, 57, 93, 367, 142, 430, 274, 37, 115, 1, 1, 1], [0, 3, 15, 58, 84, 403, 58, 556, 148, 121, 79, 10, 0, 1], [0, 3, 15, 58, 85, 395, 86, 500, 218, 65, 107, 2, 1, 1], [0, 3, 15, 59, 76, 431, 2, 626, 92, 149, 71, 11, 0, 1], [0, 3, 15, 59, 77, 423, 30, 570, 162, 93, 99, 3, 1, 1], [0, 3, 16, 37, 208, 46, 640, 10, 400, 127, 16, 33, 0, 0], [0, 3, 16, 38, 200, 74, 584, 80, 344, 155, 8, 34, 0, 0], [0, 3, 16, 38, 201, 66, 612, 24, 414, 99, 36, 26, 1, 0], [0, 3, 16, 39, 192, 102, 528, 150, 288, 183, 0, 35, 0, 0], [0, 3, 16, 39, 193, 94, 556, 94, 358, 127, 28, 27, 1, 0], [0, 3, 16, 39, 194, 86, 584, 38, 428, 71, 56, 19, 2, 0], [0, 3, 16, 40, 185, 122, 500, 164, 302, 155, 20, 28, 1, 0], [0, 3, 16, 40, 186, 114, 528, 108, 372, 99, 48, 20, 2, 0], [0, 3, 16, 40, 187, 106, 556, 52, 442, 43, 76, 12, 3, 0], [0, 3, 16, 41, 177, 150, 444, 234, 246, 183, 12, 29, 1, 0], [0, 3, 16, 41, 178, 142, 472, 178, 316, 127, 40, 21, 2, 0], [0, 3, 16, 41, 179, 134, 500, 122, 386, 71, 68, 13, 3, 0], [0, 3, 16, 41, 180, 126, 528, 66, 456, 15, 96, 5, 4, 0], [0, 3, 16, 42, 169, 178, 388, 304, 190, 211, 4, 30, 1, 0], [0, 3, 16, 42, 170, 170, 416, 248, 260, 155, 32, 22, 2, 0], [0, 3, 16, 42, 171, 162, 444, 192, 330, 99, 60, 14, 3, 0], [0, 3, 16, 42, 172, 154, 472, 136, 400, 43, 88, 6, 4, 0], [0, 3, 16, 43, 162, 198, 360, 318, 204, 183, 24, 23, 2, 0], [0, 3, 16, 43, 163, 190, 388, 262, 274, 127, 52, 15, 3, 0], [0, 3, 16, 43, 164, 182, 416, 206, 344, 71, 80, 7, 4, 0], [0, 3, 16, 44, 154, 226, 304, 388, 148, 211, 16, 24, 2, 0], [0, 3, 16, 44, 155, 218, 332, 332, 218, 155, 44, 16, 3, 0], [0, 3, 16, 44, 156, 210, 360, 276, 288, 99, 72, 8, 4, 0], [0, 3, 16, 44, 157, 202, 388, 220, 358, 43, 100, 0, 5, 0], [0, 3, 16, 45, 146, 254, 248, 458, 92, 239, 8, 25, 2, 0], [0, 3, 16, 45, 147, 246, 276, 402, 162, 183, 36, 17, 3, 0], [0, 3, 16, 45, 148, 238, 304, 346, 232, 127, 64, 9, 4, 0], [0, 3, 16, 45, 149, 230, 332, 290, 302, 71, 92, 1, 5, 0], [0, 3, 16, 46, 138, 282, 192, 528, 36, 267, 0, 26, 2, 0], [0, 3, 16, 46, 139, 274, 220, 472, 106, 211, 28, 18, 3, 0], [0, 3, 16, 46, 140, 266, 248, 416, 176, 155, 56, 10, 4, 0], [0, 3, 16, 46, 141, 258, 276, 360, 246, 99, 84, 2, 5, 0], [0, 3, 16, 46, 144, 235, 352, 220, 400, 1, 112, 6, 0, 1], [0, 3, 16, 47, 131, 302, 164, 542, 50, 239, 20, 19, 3, 0], [0, 3, 16, 47, 132, 294, 192, 486, 120, 183, 48, 11, 4, 0], [0, 3, 16, 47, 133, 286, 220, 430, 190, 127, 76, 3, 5, 0], [0, 3, 16, 47, 136, 263, 296, 290, 344, 29, 104, 7, 0, 1], [0, 3, 16, 48, 124, 322, 136, 556, 64, 211, 40, 12, 4, 0], [0, 3, 16, 48, 125, 314, 164, 500, 134, 155, 68, 4, 5, 0], [0, 3, 16, 48, 128, 291, 240, 360, 288, 57, 96, 8, 0, 1], [0, 3, 16, 48, 129, 283, 268, 304, 358, 1, 124, 0, 1, 1], [0, 3, 16, 49, 116, 350, 80, 626, 8, 239, 32, 13, 4, 0], [0, 3, 16, 49, 117, 342, 108, 570, 78, 183, 60, 5, 5, 0], [0, 3, 16, 49, 120, 319, 184, 430, 232, 85, 88, 9, 0, 1], [0, 3, 16, 49, 121, 311, 212, 374, 302, 29, 116, 1, 1, 1], [0, 3, 16, 50, 109, 370, 52, 640, 22, 211, 52, 6, 5, 0], [0, 3, 16, 50, 112, 347, 128, 500, 176, 113, 80, 10, 0, 1], [0, 3, 16, 50, 113, 339, 156, 444, 246, 57, 108, 2, 1, 1], [0, 3, 16, 51, 104, 375, 72, 570, 120, 141, 72, 11, 0, 1], [0, 3, 16, 51, 105, 367, 100, 514, 190, 85, 100, 3, 1, 1], [0, 3, 16, 52, 96, 403, 16, 640, 64, 169, 64, 12, 0, 1], [0, 3, 16, 52, 97, 395, 44, 584, 134, 113, 92, 4, 1, 1], [0, 3, 17, 30, 228, 18, 654, 24, 372, 147, 9, 34, 0, 0], [0, 3, 17, 31, 220, 46, 598, 94, 316, 175, 1, 35, 0, 0], [0, 3, 17, 31, 221, 38, 626, 38, 386, 119, 29, 27, 1, 0], [0, 3, 17, 32, 213, 66, 570, 108, 330, 147, 21, 28, 1, 0], [0, 3, 17, 32, 214, 58, 598, 52, 400, 91, 49, 20, 2, 0], [0, 3, 17, 33, 205, 94, 514, 178, 274, 175, 13, 29, 1, 0], [0, 3, 17, 33, 206, 86, 542, 122, 344, 119, 41, 21, 2, 0], [0, 3, 17, 33, 207, 78, 570, 66, 414, 63, 69, 13, 3, 0], [0, 3, 17, 33, 208, 70, 598, 10, 484, 7, 97, 5, 4, 0], [0, 3, 17, 34, 197, 122, 458, 248, 218, 203, 5, 30, 1, 0], [0, 3, 17, 34, 198, 114, 486, 192, 288, 147, 33, 22, 2, 0], [0, 3, 17, 34, 199, 106, 514, 136, 358, 91, 61, 14, 3, 0], [0, 3, 17, 34, 200, 98, 542, 80, 428, 35, 89, 6, 4, 0], [0, 3, 17, 35, 190, 142, 430, 262, 232, 175, 25, 23, 2, 0], [0, 3, 17, 35, 191, 134, 458, 206, 302, 119, 53, 15, 3, 0], [0, 3, 17, 35, 192, 126, 486, 150, 372, 63, 81, 7, 4, 0], [0, 3, 17, 36, 182, 170, 374, 332, 176, 203, 17, 24, 2, 0], [0, 3, 17, 36, 183, 162, 402, 276, 246, 147, 45, 16, 3, 0], [0, 3, 17, 36, 184, 154, 430, 220, 316, 91, 73, 8, 4, 0], [0, 3, 17, 36, 185, 146, 458, 164, 386, 35, 101, 0, 5, 0], [0, 3, 17, 37, 174, 198, 318, 402, 120, 231, 9, 25, 2, 0], [0, 3, 17, 37, 175, 190, 346, 346, 190, 175, 37, 17, 3, 0], [0, 3, 17, 37, 176, 182, 374, 290, 260, 119, 65, 9, 4, 0], [0, 3, 17, 37, 177, 174, 402, 234, 330, 63, 93, 1, 5, 0], [0, 3, 17, 38, 166, 226, 262, 472, 64, 259, 1, 26, 2, 0], [0, 3, 17, 38, 167, 218, 290, 416, 134, 203, 29, 18, 3, 0], [0, 3, 17, 38, 168, 210, 318, 360, 204, 147, 57, 10, 4, 0], [0, 3, 17, 38, 169, 202, 346, 304, 274, 91, 85, 2, 5, 0], [0, 3, 17, 39, 159, 246, 234, 486, 78, 231, 21, 19, 3, 0], [0, 3, 17, 39, 160, 238, 262, 430, 148, 175, 49, 11, 4, 0], [0, 3, 17, 39, 161, 230, 290, 374, 218, 119, 77, 3, 5, 0], [0, 3, 17, 39, 164, 207, 366, 234, 372, 21, 105, 7, 0, 1], [0, 3, 17, 40, 151, 274, 178, 556, 22, 259, 13, 20, 3, 0], [0, 3, 17, 40, 152, 266, 206, 500, 92, 203, 41, 12, 4, 0], [0, 3, 17, 40, 153, 258, 234, 444, 162, 147, 69, 4, 5, 0], [0, 3, 17, 40, 156, 235, 310, 304, 316, 49, 97, 8, 0, 1], [0, 3, 17, 41, 144, 294, 150, 570, 36, 231, 33, 13, 4, 0], [0, 3, 17, 41, 145, 286, 178, 514, 106, 175, 61, 5, 5, 0], [0, 3, 17, 41, 148, 263, 254, 374, 260, 77, 89, 9, 0, 1], [0, 3, 17, 41, 149, 255, 282, 318, 330, 21, 117, 1, 1, 1], [0, 3, 17, 42, 137, 314, 122, 584, 50, 203, 53, 6, 5, 0], [0, 3, 17, 42, 140, 291, 198, 444, 204, 105, 81, 10, 0, 1], [0, 3, 17, 42, 141, 283, 226, 388, 274, 49, 109, 2, 1, 1], [0, 3, 17, 43, 132, 319, 142, 514, 148, 133, 73, 11, 0, 1], [0, 3, 17, 43, 133, 311, 170, 458, 218, 77, 101, 3, 1, 1], [0, 3, 17, 44, 122, 362, 38, 668, 8, 203, 65, 0, 6, 0], [0, 3, 17, 44, 124, 347, 86, 584, 92, 161, 65, 12, 0, 1], [0, 3, 17, 44, 125, 339, 114, 528, 162, 105, 93, 4, 1, 1], [0, 3, 17, 45, 116, 375, 30, 654, 36, 189, 57, 13, 0, 1], [0, 3, 17, 45, 117, 367, 58, 598, 106, 133, 85, 5, 1, 1], [0, 3, 17, 46, 109, 395, 2, 668, 50, 161, 77, 6, 1, 1], [0, 3, 18, 24, 241, 10, 640, 52, 358, 139, 22, 28, 1, 0], [0, 3, 18, 25, 233, 38, 584, 122, 302, 167, 14, 29, 1, 0], [0, 3, 18, 25, 234, 30, 612, 66, 372, 111, 42, 21, 2, 0], [0, 3, 18, 25, 235, 22, 640, 10, 442, 55, 70, 13, 3, 0], [0, 3, 18, 26, 225, 66, 528, 192, 246, 195, 6, 30, 1, 0], [0, 3, 18, 26, 226, 58, 556, 136, 316, 139, 34, 22, 2, 0], [0, 3, 18, 26, 227, 50, 584, 80, 386, 83, 62, 14, 3, 0], [0, 3, 18, 26, 228, 42, 612, 24, 456, 27, 90, 6, 4, 0], [0, 3, 18, 27, 218, 86, 500, 206, 260, 167, 26, 23, 2, 0], [0, 3, 18, 27, 219, 78, 528, 150, 330, 111, 54, 15, 3, 0], [0, 3, 18, 27, 220, 70, 556, 94, 400, 55, 82, 7, 4, 0], [0, 3, 18, 28, 210, 114, 444, 276, 204, 195, 18, 24, 2, 0], [0, 3, 18, 28, 211, 106, 472, 220, 274, 139, 46, 16, 3, 0], [0, 3, 18, 28, 212, 98, 500, 164, 344, 83, 74, 8, 4, 0], [0, 3, 18, 28, 213, 90, 528, 108, 414, 27, 102, 0, 5, 0], [0, 3, 18, 29, 202, 142, 388, 346, 148, 223, 10, 25, 2, 0], [0, 3, 18, 29, 203, 134, 416, 290, 218, 167, 38, 17, 3, 0], [0, 3, 18, 29, 204, 126, 444, 234, 288, 111, 66, 9, 4, 0], [0, 3, 18, 29, 205, 118, 472, 178, 358, 55, 94, 1, 5, 0], [0, 3, 18, 30, 194, 170, 332, 416, 92, 251, 2, 26, 2, 0], [0, 3, 18, 30, 195, 162, 360, 360, 162, 195, 30, 18, 3, 0], [0, 3, 18, 30, 196, 154, 388, 304, 232, 139, 58, 10, 4, 0], [0, 3, 18, 30, 197, 146, 416, 248, 302, 83, 86, 2, 5, 0], [0, 3, 18, 31, 187, 190, 304, 430, 106, 223, 22, 19, 3, 0], [0, 3, 18, 31, 188, 182, 332, 374, 176, 167, 50, 11, 4, 0], [0, 3, 18, 31, 189, 174, 360, 318, 246, 111, 78, 3, 5, 0], [0, 3, 18, 31, 192, 151, 436, 178, 400, 13, 106, 7, 0, 1], [0, 3, 18, 32, 179, 218, 248, 500, 50, 251, 14, 20, 3, 0], [0, 3, 18, 32, 180, 210, 276, 444, 120, 195, 42, 12, 4, 0], [0, 3, 18, 32, 181, 202, 304, 388, 190, 139, 70, 4, 5, 0], [0, 3, 18, 32, 184, 179, 380, 248, 344, 41, 98, 8, 0, 1], [0, 3, 18, 33, 172, 238, 220, 514, 64, 223, 34, 13, 4, 0], [0, 3, 18, 33, 173, 230, 248, 458, 134, 167, 62, 5, 5, 0], [0, 3, 18, 33, 176, 207, 324, 318, 288, 69, 90, 9, 0, 1], [0, 3, 18, 33, 177, 199, 352, 262, 358, 13, 118, 1, 1, 1], [0, 3, 18, 34, 164, 266, 164, 584, 8, 251, 26, 14, 4, 0], [0, 3, 18, 34, 165, 258, 192, 528, 78, 195, 54, 6, 5, 0], [0, 3, 18, 34, 168, 235, 268, 388, 232, 97, 82, 10, 0, 1], [0, 3, 18, 34, 169, 227, 296, 332, 302, 41, 110, 2, 1, 1], [0, 3, 18, 35, 157, 286, 136, 598, 22, 223, 46, 7, 5, 0], [0, 3, 18, 35, 160, 263, 212, 458, 176, 125, 74, 11, 0, 1], [0, 3, 18, 35, 161, 255, 240, 402, 246, 69, 102, 3, 1, 1], [0, 3, 18, 36, 150, 306, 108, 612, 36, 195, 66, 0, 6, 0], [0, 3, 18, 36, 152, 291, 156, 528, 120, 153, 66, 12, 0, 1], [0, 3, 18, 36, 153, 283, 184, 472, 190, 97, 94, 4, 1, 1], [0, 3, 18, 37, 144, 319, 100, 598, 64, 181, 58, 13, 0, 1], [0, 3, 18, 37, 145, 311, 128, 542, 134, 125, 86, 5, 1, 1], [0, 3, 18, 38, 136, 347, 44, 668, 8, 209, 50, 14, 0, 1], [0, 3, 18, 38, 137, 339, 72, 612, 78, 153, 78, 6, 1, 1], [0, 3, 18, 39, 129, 367, 16, 682, 22, 181, 70, 7, 1, 1], [0, 3, 19, 18, 253, 10, 598, 136, 274, 187, 7, 30, 1, 0], [0, 3, 19, 18, 254, 2, 626, 80, 344, 131, 35, 22, 2, 0], [0, 3, 19, 19, 246, 30, 570, 150, 288, 159, 27, 23, 2, 0], [0, 3, 19, 19, 247, 22, 598, 94, 358, 103, 55, 15, 3, 0], [0, 3, 19, 19, 248, 14, 626, 38, 428, 47, 83, 7, 4, 0], [0, 3, 19, 20, 238, 58, 514, 220, 232, 187, 19, 24, 2, 0], [0, 3, 19, 20, 239, 50, 542, 164, 302, 131, 47, 16, 3, 0], [0, 3, 19, 20, 240, 42, 570, 108, 372, 75, 75, 8, 4, 0], [0, 3, 19, 20, 241, 34, 598, 52, 442, 19, 103, 0, 5, 0], [0, 3, 19, 21, 230, 86, 458, 290, 176, 215, 11, 25, 2, 0], [0, 3, 19, 21, 231, 78, 486, 234, 246, 159, 39, 17, 3, 0], [0, 3, 19, 21, 232, 70, 514, 178, 316, 103, 67, 9, 4, 0], [0, 3, 19, 21, 233, 62, 542, 122, 386, 47, 95, 1, 5, 0], [0, 3, 19, 22, 222, 114, 402, 360, 120, 243, 3, 26, 2, 0], [0, 3, 19, 22, 223, 106, 430, 304, 190, 187, 31, 18, 3, 0], [0, 3, 19, 22, 224, 98, 458, 248, 260, 131, 59, 10, 4, 0], [0, 3, 19, 22, 225, 90, 486, 192, 330, 75, 87, 2, 5, 0], [0, 3, 19, 23, 215, 134, 374, 374, 134, 215, 23, 19, 3, 0], [0, 3, 19, 23, 216, 126, 402, 318, 204, 159, 51, 11, 4, 0], [0, 3, 19, 23, 217, 118, 430, 262, 274, 103, 79, 3, 5, 0], [0, 3, 19, 23, 220, 95, 506, 122, 428, 5, 107, 7, 0, 1], [0, 3, 19, 24, 207, 162, 318, 444, 78, 243, 15, 20, 3, 0], [0, 3, 19, 24, 208, 154, 346, 388, 148, 187, 43, 12, 4, 0], [0, 3, 19, 24, 209, 146, 374, 332, 218, 131, 71, 4, 5, 0], [0, 3, 19, 24, 212, 123, 450, 192, 372, 33, 99, 8, 0, 1], [0, 3, 19, 25, 199, 190, 262, 514, 22, 271, 7, 21, 3, 0], [0, 3, 19, 25, 200, 182, 290, 458, 92, 215, 35, 13, 4, 0], [0, 3, 19, 25, 201, 174, 318, 402, 162, 159, 63, 5, 5, 0], [0, 3, 19, 25, 204, 151, 394, 262, 316, 61, 91, 9, 0, 1], [0, 3, 19, 25, 205, 143, 422, 206, 386, 5, 119, 1, 1, 1], [0, 3, 19, 26, 192, 210, 234, 528, 36, 243, 27, 14, 4, 0], [0, 3, 19, 26, 193, 202, 262, 472, 106, 187, 55, 6, 5, 0], [0, 3, 19, 26, 196, 179, 338, 332, 260, 89, 83, 10, 0, 1], [0, 3, 19, 26, 197, 171, 366, 276, 330, 33, 111, 2, 1, 1], [0, 3, 19, 27, 185, 230, 206, 542, 50, 215, 47, 7, 5, 0], [0, 3, 19, 27, 188, 207, 282, 402, 204, 117, 75, 11, 0, 1], [0, 3, 19, 27, 189, 199, 310, 346, 274, 61, 103, 3, 1, 1], [0, 3, 19, 28, 178, 250, 178, 556, 64, 187, 67, 0, 6, 0], [0, 3, 19, 28, 180, 235, 226, 472, 148, 145, 67, 12, 0, 1], [0, 3, 19, 28, 181, 227, 254, 416, 218, 89, 95, 4, 1, 1], [0, 3, 19, 29, 170, 278, 122, 626, 8, 215, 59, 1, 6, 0], [0, 3, 19, 29, 172, 263, 170, 542, 92, 173, 59, 13, 0, 1], [0, 3, 19, 29, 173, 255, 198, 486, 162, 117, 87, 5, 1, 1], [0, 3, 19, 30, 164, 291, 114, 612, 36, 201, 51, 14, 0, 1], [0, 3, 19, 30, 165, 283, 142, 556, 106, 145, 79, 6, 1, 1], [0, 3, 19, 31, 157, 311, 86, 626, 50, 173, 71, 7, 1, 1], [0, 3, 19, 32, 150, 331, 58, 640, 64, 145, 91, 0, 2, 1], [0, 3, 19, 33, 142, 359, 2, 710, 8, 173, 83, 1, 2, 1], [0, 3, 20, 12, 266, 2, 584, 164, 260, 179, 20, 24, 2, 0], [0, 3, 20, 13, 258, 30, 528, 234, 204, 207, 12, 25, 2, 0], [0, 3, 20, 13, 259, 22, 556, 178, 274, 151, 40, 17, 3, 0], [0, 3, 20, 13, 260, 14, 584, 122, 344, 95, 68, 9, 4, 0], [0, 3, 20, 13, 261, 6, 612, 66, 414, 39, 96, 1, 5, 0], [0, 3, 20, 14, 250, 58, 472, 304, 148, 235, 4, 26, 2, 0], [0, 3, 20, 14, 251, 50, 500, 248, 218, 179, 32, 18, 3, 0], [0, 3, 20, 14, 252, 42, 528, 192, 288, 123, 60, 10, 4, 0], [0, 3, 20, 14, 253, 34, 556, 136, 358, 67, 88, 2, 5, 0], [0, 3, 20, 15, 243, 78, 444, 318, 162, 207, 24, 19, 3, 0], [0, 3, 20, 15, 244, 70, 472, 262, 232, 151, 52, 11, 4, 0], [0, 3, 20, 15, 245, 62, 500, 206, 302, 95, 80, 3, 5, 0], [0, 3, 20, 16, 235, 106, 388, 388, 106, 235, 16, 20, 3, 0], [0, 3, 20, 16, 236, 98, 416, 332, 176, 179, 44, 12, 4, 0], [0, 3, 20, 16, 237, 90, 444, 276, 246, 123, 72, 4, 5, 0], [0, 3, 20, 16, 240, 67, 520, 136, 400, 25, 100, 8, 0, 1], [0, 3, 20, 17, 227, 134, 332, 458, 50, 263, 8, 21, 3, 0], [0, 3, 20, 17, 228, 126, 360, 402, 120, 207, 36, 13, 4, 0], [0, 3, 20, 17, 229, 118, 388, 346, 190, 151, 64, 5, 5, 0], [0, 3, 20, 17, 232, 95, 464, 206, 344, 53, 92, 9, 0, 1], [0, 3, 20, 18, 220, 154, 304, 472, 64, 235, 28, 14, 4, 0], [0, 3, 20, 18, 221, 146, 332, 416, 134, 179, 56, 6, 5, 0], [0, 3, 20, 18, 224, 123, 408, 276, 288, 81, 84, 10, 0, 1], [0, 3, 20, 18, 225, 115, 436, 220, 358, 25, 112, 2, 1, 1], [0, 3, 20, 19, 212, 182, 248, 542, 8, 263, 20, 15, 4, 0], [0, 3, 20, 19, 213, 174, 276, 486, 78, 207, 48, 7, 5, 0], [0, 3, 20, 19, 216, 151, 352, 346, 232, 109, 76, 11, 0, 1], [0, 3, 20, 19, 217, 143, 380, 290, 302, 53, 104, 3, 1, 1], [0, 3, 20, 20, 205, 202, 220, 556, 22, 235, 40, 8, 5, 0], [0, 3, 20, 20, 206, 194, 248, 500, 92, 179, 68, 0, 6, 0], [0, 3, 20, 20, 208, 179, 296, 416, 176, 137, 68, 12, 0, 1], [0, 3, 20, 20, 209, 171, 324, 360, 246, 81, 96, 4, 1, 1], [0, 3, 20, 21, 198, 222, 192, 570, 36, 207, 60, 1, 6, 0], [0, 3, 20, 21, 200, 207, 240, 486, 120, 165, 60, 13, 0, 1], [0, 3, 20, 21, 201, 199, 268, 430, 190, 109, 88, 5, 1, 1], [0, 3, 20, 22, 192, 235, 184, 556, 64, 193, 52, 14, 0, 1], [0, 3, 20, 22, 193, 227, 212, 500, 134, 137, 80, 6, 1, 1], [0, 3, 20, 23, 184, 263, 128, 626, 8, 221, 44, 15, 0, 1], [0, 3, 20, 23, 185, 255, 156, 570, 78, 165, 72, 7, 1, 1], [0, 3, 20, 24, 177, 283, 100, 640, 22, 193, 64, 8, 1, 1], [0, 3, 20, 24, 178, 275, 128, 584, 92, 137, 92, 0, 2, 1], [0, 3, 20, 25, 170, 303, 72, 654, 36, 165, 84, 1, 2, 1], [0, 3, 21, 6, 278, 2, 542, 248, 176, 227, 5, 26, 2, 0], [0, 3, 21, 7, 271, 22, 514, 262, 190, 199, 25, 19, 3, 0], [0, 3, 21, 7, 272, 14, 542, 206, 260, 143, 53, 11, 4, 0], [0, 3, 21, 7, 273, 6, 570, 150, 330, 87, 81, 3, 5, 0], [0, 3, 21, 8, 263, 50, 458, 332, 134, 227, 17, 20, 3, 0], [0, 3, 21, 8, 264, 42, 486, 276, 204, 171, 45, 12, 4, 0], [0, 3, 21, 8, 265, 34, 514, 220, 274, 115, 73, 4, 5, 0], [0, 3, 21, 8, 268, 11, 590, 80, 428, 17, 101, 8, 0, 1], [0, 3, 21, 9, 255, 78, 402, 402, 78, 255, 9, 21, 3, 0], [0, 3, 21, 9, 256, 70, 430, 346, 148, 199, 37, 13, 4, 0], [0, 3, 21, 9, 257, 62, 458, 290, 218, 143, 65, 5, 5, 0], [0, 3, 21, 9, 260, 39, 534, 150, 372, 45, 93, 9, 0, 1], [0, 3, 21, 10, 247, 106, 346, 472, 22, 283, 1, 22, 3, 0], [0, 3, 21, 10, 248, 98, 374, 416, 92, 227, 29, 14, 4, 0], [0, 3, 21, 10, 249, 90, 402, 360, 162, 171, 57, 6, 5, 0], [0, 3, 21, 10, 252, 67, 478, 220, 316, 73, 85, 10, 0, 1], [0, 3, 21, 10, 253, 59, 506, 164, 386, 17, 113, 2, 1, 1], [0, 3, 21, 11, 240, 126, 318, 486, 36, 255, 21, 15, 4, 0], [0, 3, 21, 11, 241, 118, 346, 430, 106, 199, 49, 7, 5, 0], [0, 3, 21, 11, 244, 95, 422, 290, 260, 101, 77, 11, 0, 1], [0, 3, 21, 11, 245, 87, 450, 234, 330, 45, 105, 3, 1, 1], [0, 3, 21, 12, 233, 146, 290, 500, 50, 227, 41, 8, 5, 0], [0, 3, 21, 12, 234, 138, 318, 444, 120, 171, 69, 0, 6, 0], [0, 3, 21, 12, 236, 123, 366, 360, 204, 129, 69, 12, 0, 1], [0, 3, 21, 12, 237, 115, 394, 304, 274, 73, 97, 4, 1, 1], [0, 3, 21, 13, 226, 166, 262, 514, 64, 199, 61, 1, 6, 0], [0, 3, 21, 13, 228, 151, 310, 430, 148, 157, 61, 13, 0, 1], [0, 3, 21, 13, 229, 143, 338, 374, 218, 101, 89, 5, 1, 1], [0, 3, 21, 14, 218, 194, 206, 584, 8, 227, 53, 2, 6, 0], [0, 3, 21, 14, 220, 179, 254, 500, 92, 185, 53, 14, 0, 1], [0, 3, 21, 14, 221, 171, 282, 444, 162, 129, 81, 6, 1, 1], [0, 3, 21, 15, 212, 207, 198, 570, 36, 213, 45, 15, 0, 1], [0, 3, 21, 15, 213, 199, 226, 514, 106, 157, 73, 7, 1, 1], [0, 3, 21, 16, 205, 227, 170, 584, 50, 185, 65, 8, 1, 1], [0, 3, 21, 16, 206, 219, 198, 528, 120, 129, 93, 0, 2, 1], [0, 3, 21, 17, 198, 247, 142, 598, 64, 157, 85, 1, 2, 1], [0, 3, 21, 18, 190, 275, 86, 668, 8, 185, 77, 2, 2, 1], [0, 3, 22, 1, 283, 22, 472, 346, 106, 247, 10, 21, 3, 0], [0, 3, 22, 1, 284, 14, 500, 290, 176, 191, 38, 13, 4, 0], [0, 3, 22, 1, 285, 6, 528, 234, 246, 135, 66, 5, 5, 0], [0, 3, 22, 2, 275, 50, 416, 416, 50, 275, 2, 22, 3, 0], [0, 3, 22, 2, 276, 42, 444, 360, 120, 219, 30, 14, 4, 0], [0, 3, 22, 2, 277, 34, 472, 304, 190, 163, 58, 6, 5, 0], [0, 3, 22, 2, 280, 11, 548, 164, 344, 65, 86, 10, 0, 1], [0, 3, 22, 2, 281, 3, 576, 108, 414, 9, 114, 2, 1, 1], [0, 3, 22, 3, 268, 70, 388, 430, 64, 247, 22, 15, 4, 0], [0, 3, 22, 3, 269, 62, 416, 374, 134, 191, 50, 7, 5, 0], [0, 3, 22, 3, 272, 39, 492, 234, 288, 93, 78, 11, 0, 1], [0, 3, 22, 3, 273, 31, 520, 178, 358, 37, 106, 3, 1, 1], [0, 3, 22, 4, 260, 98, 332, 500, 8, 275, 14, 16, 4, 0], [0, 3, 22, 4, 261, 90, 360, 444, 78, 219, 42, 8, 5, 0], [0, 3, 22, 4, 262, 82, 388, 388, 148, 163, 70, 0, 6, 0], [0, 3, 22, 4, 264, 67, 436, 304, 232, 121, 70, 12, 0, 1], [0, 3, 22, 4, 265, 59, 464, 248, 302, 65, 98, 4, 1, 1], [0, 3, 22, 5, 253, 118, 304, 514, 22, 247, 34, 9, 5, 0], [0, 3, 22, 5, 254, 110, 332, 458, 92, 191, 62, 1, 6, 0], [0, 3, 22, 5, 256, 95, 380, 374, 176, 149, 62, 13, 0, 1], [0, 3, 22, 5, 257, 87, 408, 318, 246, 93, 90, 5, 1, 1], [0, 3, 22, 6, 246, 138, 276, 528, 36, 219, 54, 2, 6, 0], [0, 3, 22, 6, 248, 123, 324, 444, 120, 177, 54, 14, 0, 1], [0, 3, 22, 6, 249, 115, 352, 388, 190, 121, 82, 6, 1, 1], [0, 3, 22, 7, 240, 151, 268, 514, 64, 205, 46, 15, 0, 1], [0, 3, 22, 7, 241, 143, 296, 458, 134, 149, 74, 7, 1, 1], [0, 3, 22, 8, 232, 179, 212, 584, 8, 233, 38, 16, 0, 1], [0, 3, 22, 8, 233, 171, 240, 528, 78, 177, 66, 8, 1, 1], [0, 3, 22, 8, 234, 163, 268, 472, 148, 121, 94, 0, 2, 1], [0, 3, 22, 9, 225, 199, 184, 598, 22, 205, 58, 9, 1, 1], [0, 3, 22, 9, 226, 191, 212, 542, 92, 149, 86, 1, 2, 1], [0, 3, 22, 10, 218, 219, 156, 612, 36, 177, 78, 2, 2, 1], [0, 3, 23, 0, 260, 123, 282, 528, 36, 225, 39, 16, 0, 1], [0, 3, 23, 0, 261, 115, 310, 472, 106, 169, 67, 8, 1, 1], [0, 3, 23, 0, 262, 107, 338, 416, 176, 113, 95, 0, 2, 1], [0, 3, 23, 1, 253, 143, 254, 542, 50, 197, 59, 9, 1, 1], [0, 3, 23, 1, 254, 135, 282, 486, 120, 141, 87, 1, 2, 1], [0, 3, 23, 2, 246, 163, 226, 556, 64, 169, 79, 2, 2, 1], [0, 3, 23, 3, 238, 191, 170, 626, 8, 197, 71, 3, 2, 1], [0, 4, 1, 115, 4, 340, 430, 10, 532, 16, 57, 27, 0, 0], [0, 4, 2, 108, 24, 312, 444, 24, 504, 36, 50, 28, 0, 0], [0, 4, 2, 109, 16, 340, 388, 94, 448, 64, 42, 29, 0, 0], [0, 4, 2, 109, 17, 332, 416, 38, 518, 8, 70, 21, 1, 0], [0, 4, 2, 110, 8, 368, 332, 164, 392, 92, 34, 30, 0, 0], [0, 4, 2, 110, 9, 360, 360, 108, 462, 36, 62, 22, 1, 0], [0, 4, 2, 111, 0, 396, 276, 234, 336, 120, 26, 31, 0, 0], [0, 4, 2, 111, 1, 388, 304, 178, 406, 64, 54, 23, 1, 0], [0, 4, 2, 111, 2, 380, 332, 122, 476, 8, 82, 15, 2, 0], [0, 4, 3, 101, 44, 284, 458, 38, 476, 56, 43, 29, 0, 0], [0, 4, 3, 102, 36, 312, 402, 108, 420, 84, 35, 30, 0, 0], [0, 4, 3, 102, 37, 304, 430, 52, 490, 28, 63, 22, 1, 0], [0, 4, 3, 103, 28, 340, 346, 178, 364, 112, 27, 31, 0, 0], [0, 4, 3, 103, 29, 332, 374, 122, 434, 56, 55, 23, 1, 0], [0, 4, 3, 103, 30, 324, 402, 66, 504, 0, 83, 15, 2, 0], [0, 4, 3, 104, 20, 368, 290, 248, 308, 140, 19, 32, 0, 0], [0, 4, 3, 104, 21, 360, 318, 192, 378, 84, 47, 24, 1, 0], [0, 4, 3, 104, 22, 352, 346, 136, 448, 28, 75, 16, 2, 0], [0, 4, 3, 105, 12, 396, 234, 318, 252, 168, 11, 33, 0, 0], [0, 4, 3, 105, 13, 388, 262, 262, 322, 112, 39, 25, 1, 0], [0, 4, 3, 105, 14, 380, 290, 206, 392, 56, 67, 17, 2, 0], [0, 4, 3, 105, 15, 372, 318, 150, 462, 0, 95, 9, 3, 0], [0, 4, 3, 106, 4, 424, 178, 388, 196, 196, 3, 34, 0, 0], [0, 4, 3, 106, 5, 416, 206, 332, 266, 140, 31, 26, 1, 0], [0, 4, 3, 106, 6, 408, 234, 276, 336, 84, 59, 18, 2, 0], [0, 4, 3, 106, 7, 400, 262, 220, 406, 28, 87, 10, 3, 0], [0, 4, 3, 107, 0, 420, 234, 234, 420, 0, 107, 3, 4, 0], [0, 4, 4, 94, 64, 256, 472, 52, 448, 76, 36, 30, 0, 0], [0, 4, 4, 95, 56, 284, 416, 122, 392, 104, 28, 31, 0, 0], [0, 4, 4, 95, 57, 276, 444, 66, 462, 48, 56, 23, 1, 0], [0, 4, 4, 96, 48, 312, 360, 192, 336, 132, 20, 32, 0, 0], [0, 4, 4, 96, 49, 304, 388, 136, 406, 76, 48, 24, 1, 0], [0, 4, 4, 96, 50, 296, 416, 80, 476, 20, 76, 16, 2, 0], [0, 4, 4, 97, 40, 340, 304, 262, 280, 160, 12, 33, 0, 0], [0, 4, 4, 97, 41, 332, 332, 206, 350, 104, 40, 25, 1, 0], [0, 4, 4, 97, 42, 324, 360, 150, 420, 48, 68, 17, 2, 0], [0, 4, 4, 98, 32, 368, 248, 332, 224, 188, 4, 34, 0, 0], [0, 4, 4, 98, 33, 360, 276, 276, 294, 132, 32, 26, 1, 0], [0, 4, 4, 98, 34, 352, 304, 220, 364, 76, 60, 18, 2, 0], [0, 4, 4, 98, 35, 344, 332, 164, 434, 20, 88, 10, 3, 0], [0, 4, 4, 99, 25, 388, 220, 346, 238, 160, 24, 27, 1, 0], [0, 4, 4, 99, 26, 380, 248, 290, 308, 104, 52, 19, 2, 0], [0, 4, 4, 99, 27, 372, 276, 234, 378, 48, 80, 11, 3, 0], [0, 4, 4, 100, 17, 416, 164, 416, 182, 188, 16, 28, 1, 0], [0, 4, 4, 100, 18, 408, 192, 360, 252, 132, 44, 20, 2, 0], [0, 4, 4, 100, 19, 400, 220, 304, 322, 76, 72, 12, 3, 0], [0, 4, 4, 100, 20, 392, 248, 248, 392, 20, 100, 4, 4, 0], [0, 4, 4, 101, 9, 444, 108, 486, 126, 216, 8, 29, 1, 0], [0, 4, 4, 101, 10, 436, 136, 430, 196, 160, 36, 21, 2, 0], [0, 4, 4, 101, 11, 428, 164, 374, 266, 104, 64, 13, 3, 0], [0, 4, 4, 101, 12, 420, 192, 318, 336, 48, 92, 5, 4, 0], [0, 4, 4, 102, 1, 472, 52, 556, 70, 244, 0, 30, 1, 0], [0, 4, 4, 102, 2, 464, 80, 500, 140, 188, 28, 22, 2, 0], [0, 4, 4, 102, 3, 456, 108, 444, 210, 132, 56, 14, 3, 0], [0, 4, 4, 102, 4, 448, 136, 388, 280, 76, 84, 6, 4, 0], [0, 4, 5, 87, 84, 228, 486, 66, 420, 96, 29, 31, 0, 0], [0, 4, 5, 87, 85, 220, 514, 10, 490, 40, 57, 23, 1, 0], [0, 4, 5, 88, 76, 256, 430, 136, 364, 124, 21, 32, 0, 0], [0, 4, 5, 88, 77, 248, 458, 80, 434, 68, 49, 24, 1, 0], [0, 4, 5, 88, 78, 240, 486, 24, 504, 12, 77, 16, 2, 0], [0, 4, 5, 89, 68, 284, 374, 206, 308, 152, 13, 33, 0, 0], [0, 4, 5, 89, 69, 276, 402, 150, 378, 96, 41, 25, 1, 0], [0, 4, 5, 89, 70, 268, 430, 94, 448, 40, 69, 17, 2, 0], [0, 4, 5, 90, 60, 312, 318, 276, 252, 180, 5, 34, 0, 0], [0, 4, 5, 90, 61, 304, 346, 220, 322, 124, 33, 26, 1, 0], [0, 4, 5, 90, 62, 296, 374, 164, 392, 68, 61, 18, 2, 0], [0, 4, 5, 90, 63, 288, 402, 108, 462, 12, 89, 10, 3, 0], [0, 4, 5, 91, 53, 332, 290, 290, 266, 152, 25, 27, 1, 0], [0, 4, 5, 91, 54, 324, 318, 234, 336, 96, 53, 19, 2, 0], [0, 4, 5, 91, 55, 316, 346, 178, 406, 40, 81, 11, 3, 0], [0, 4, 5, 92, 45, 360, 234, 360, 210, 180, 17, 28, 1, 0], [0, 4, 5, 92, 46, 352, 262, 304, 280, 124, 45, 20, 2, 0], [0, 4, 5, 92, 47, 344, 290, 248, 350, 68, 73, 12, 3, 0], [0, 4, 5, 92, 48, 336, 318, 192, 420, 12, 101, 4, 4, 0], [0, 4, 5, 93, 37, 388, 178, 430, 154, 208, 9, 29, 1, 0], [0, 4, 5, 93, 38, 380, 206, 374, 224, 152, 37, 21, 2, 0], [0, 4, 5, 93, 39, 372, 234, 318, 294, 96, 65, 13, 3, 0], [0, 4, 5, 93, 40, 364, 262, 262, 364, 40, 93, 5, 4, 0], [0, 4, 5, 94, 29, 416, 122, 500, 98, 236, 1, 30, 1, 0], [0, 4, 5, 94, 30, 408, 150, 444, 168, 180, 29, 22, 2, 0], [0, 4, 5, 94, 31, 400, 178, 388, 238, 124, 57, 14, 3, 0], [0, 4, 5, 94, 32, 392, 206, 332, 308, 68, 85, 6, 4, 0], [0, 4, 5, 95, 22, 436, 94, 514, 112, 208, 21, 23, 2, 0], [0, 4, 5, 95, 23, 428, 122, 458, 182, 152, 49, 15, 3, 0], [0, 4, 5, 95, 24, 420, 150, 402, 252, 96, 77, 7, 4, 0], [0, 4, 5, 96, 14, 464, 38, 584, 56, 236, 13, 24, 2, 0], [0, 4, 5, 96, 15, 456, 66, 528, 126, 180, 41, 16, 3, 0], [0, 4, 5, 96, 16, 448, 94, 472, 196, 124, 69, 8, 4, 0], [0, 4, 5, 96, 17, 440, 122, 416, 266, 68, 97, 0, 5, 0], [0, 4, 5, 97, 7, 484, 10, 598, 70, 208, 33, 17, 3, 0], [0, 4, 5, 97, 8, 476, 38, 542, 140, 152, 61, 9, 4, 0], [0, 4, 5, 97, 9, 468, 66, 486, 210, 96, 89, 1, 5, 0], [0, 4, 5, 98, 1, 496, 10, 556, 154, 124, 81, 2, 5, 0], [0, 4, 5, 98, 4, 473, 86, 416, 308, 26, 109, 6, 0, 1], [0, 4, 6, 79, 112, 172, 556, 10, 448, 88, 30, 31, 0, 0], [0, 4, 6, 80, 104, 200, 500, 80, 392, 116, 22, 32, 0, 0], [0, 4, 6, 80, 105, 192, 528, 24, 462, 60, 50, 24, 1, 0], [0, 4, 6, 81, 96, 228, 444, 150, 336, 144, 14, 33, 0, 0], [0, 4, 6, 81, 97, 220, 472, 94, 406, 88, 42, 25, 1, 0], [0, 4, 6, 81, 98, 212, 500, 38, 476, 32, 70, 17, 2, 0], [0, 4, 6, 82, 88, 256, 388, 220, 280, 172, 6, 34, 0, 0], [0, 4, 6, 82, 89, 248, 416, 164, 350, 116, 34, 26, 1, 0], [0, 4, 6, 82, 90, 240, 444, 108, 420, 60, 62, 18, 2, 0], [0, 4, 6, 82, 91, 232, 472, 52, 490, 4, 90, 10, 3, 0], [0, 4, 6, 83, 81, 276, 360, 234, 294, 144, 26, 27, 1, 0], [0, 4, 6, 83, 82, 268, 388, 178, 364, 88, 54, 19, 2, 0], [0, 4, 6, 83, 83, 260, 416, 122, 434, 32, 82, 11, 3, 0], [0, 4, 6, 84, 73, 304, 304, 304, 238, 172, 18, 28, 1, 0], [0, 4, 6, 84, 74, 296, 332, 248, 308, 116, 46, 20, 2, 0], [0, 4, 6, 84, 75, 288, 360, 192, 378, 60, 74, 12, 3, 0], [0, 4, 6, 84, 76, 280, 388, 136, 448, 4, 102, 4, 4, 0], [0, 4, 6, 85, 65, 332, 248, 374, 182, 200, 10, 29, 1, 0], [0, 4, 6, 85, 66, 324, 276, 318, 252, 144, 38, 21, 2, 0], [0, 4, 6, 85, 67, 316, 304, 262, 322, 88, 66, 13, 3, 0], [0, 4, 6, 85, 68, 308, 332, 206, 392, 32, 94, 5, 4, 0], [0, 4, 6, 86, 57, 360, 192, 444, 126, 228, 2, 30, 1, 0], [0, 4, 6, 86, 58, 352, 220, 388, 196, 172, 30, 22, 2, 0], [0, 4, 6, 86, 59, 344, 248, 332, 266, 116, 58, 14, 3, 0], [0, 4, 6, 86, 60, 336, 276, 276, 336, 60, 86, 6, 4, 0], [0, 4, 6, 87, 50, 380, 164, 458, 140, 200, 22, 23, 2, 0], [0, 4, 6, 87, 51, 372, 192, 402, 210, 144, 50, 15, 3, 0], [0, 4, 6, 87, 52, 364, 220, 346, 280, 88, 78, 7, 4, 0], [0, 4, 6, 88, 42, 408, 108, 528, 84, 228, 14, 24, 2, 0], [0, 4, 6, 88, 43, 400, 136, 472, 154, 172, 42, 16, 3, 0], [0, 4, 6, 88, 44, 392, 164, 416, 224, 116, 70, 8, 4, 0], [0, 4, 6, 88, 45, 384, 192, 360, 294, 60, 98, 0, 5, 0], [0, 4, 6, 89, 34, 436, 52, 598, 28, 256, 6, 25, 2, 0], [0, 4, 6, 89, 35, 428, 80, 542, 98, 200, 34, 17, 3, 0], [0, 4, 6, 89, 36, 420, 108, 486, 168, 144, 62, 9, 4, 0], [0, 4, 6, 89, 37, 412, 136, 430, 238, 88, 90, 1, 5, 0], [0, 4, 6, 90, 27, 456, 24, 612, 42, 228, 26, 18, 3, 0], [0, 4, 6, 90, 28, 448, 52, 556, 112, 172, 54, 10, 4, 0], [0, 4, 6, 90, 29, 440, 80, 500, 182, 116, 82, 2, 5, 0], [0, 4, 6, 90, 32, 417, 156, 360, 336, 18, 110, 6, 0, 1], [0, 4, 6, 91, 21, 468, 24, 570, 126, 144, 74, 3, 5, 0], [0, 4, 6, 91, 24, 445, 100, 430, 280, 46, 102, 7, 0, 1], [0, 4, 6, 92, 16, 473, 44, 500, 224, 74, 94, 8, 0, 1], [0, 4, 6, 92, 17, 465, 72, 444, 294, 18, 122, 0, 1, 1], [0, 4, 6, 93, 9, 493, 16, 514, 238, 46, 114, 1, 1, 1], [0, 4, 7, 72, 132, 144, 570, 24, 420, 108, 23, 32, 0, 0], [0, 4, 7, 73, 124, 172, 514, 94, 364, 136, 15, 33, 0, 0], [0, 4, 7, 73, 125, 164, 542, 38, 434, 80, 43, 25, 1, 0], [0, 4, 7, 74, 116, 200, 458, 164, 308, 164, 7, 34, 0, 0], [0, 4, 7, 74, 117, 192, 486, 108, 378, 108, 35, 26, 1, 0], [0, 4, 7, 74, 118, 184, 514, 52, 448, 52, 63, 18, 2, 0], [0, 4, 7, 75, 109, 220, 430, 178, 322, 136, 27, 27, 1, 0], [0, 4, 7, 75, 110, 212, 458, 122, 392, 80, 55, 19, 2, 0], [0, 4, 7, 75, 111, 204, 486, 66, 462, 24, 83, 11, 3, 0], [0, 4, 7, 76, 101, 248, 374, 248, 266, 164, 19, 28, 1, 0], [0, 4, 7, 76, 102, 240, 402, 192, 336, 108, 47, 20, 2, 0], [0, 4, 7, 76, 103, 232, 430, 136, 406, 52, 75, 12, 3, 0], [0, 4, 7, 77, 93, 276, 318, 318, 210, 192, 11, 29, 1, 0], [0, 4, 7, 77, 94, 268, 346, 262, 280, 136, 39, 21, 2, 0], [0, 4, 7, 77, 95, 260, 374, 206, 350, 80, 67, 13, 3, 0], [0, 4, 7, 77, 96, 252, 402, 150, 420, 24, 95, 5, 4, 0], [0, 4, 7, 78, 85, 304, 262, 388, 154, 220, 3, 30, 1, 0], [0, 4, 7, 78, 86, 296, 290, 332, 224, 164, 31, 22, 2, 0], [0, 4, 7, 78, 87, 288, 318, 276, 294, 108, 59, 14, 3, 0], [0, 4, 7, 78, 88, 280, 346, 220, 364, 52, 87, 6, 4, 0], [0, 4, 7, 79, 78, 324, 234, 402, 168, 192, 23, 23, 2, 0], [0, 4, 7, 79, 79, 316, 262, 346, 238, 136, 51, 15, 3, 0], [0, 4, 7, 79, 80, 308, 290, 290, 308, 80, 79, 7, 4, 0], [0, 4, 7, 80, 70, 352, 178, 472, 112, 220, 15, 24, 2, 0], [0, 4, 7, 80, 71, 344, 206, 416, 182, 164, 43, 16, 3, 0], [0, 4, 7, 80, 72, 336, 234, 360, 252, 108, 71, 8, 4, 0], [0, 4, 7, 80, 73, 328, 262, 304, 322, 52, 99, 0, 5, 0], [0, 4, 7, 81, 62, 380, 122, 542, 56, 248, 7, 25, 2, 0], [0, 4, 7, 81, 63, 372, 150, 486, 126, 192, 35, 17, 3, 0], [0, 4, 7, 81, 64, 364, 178, 430, 196, 136, 63, 9, 4, 0], [0, 4, 7, 81, 65, 356, 206, 374, 266, 80, 91, 1, 5, 0], [0, 4, 7, 82, 55, 400, 94, 556, 70, 220, 27, 18, 3, 0], [0, 4, 7, 82, 56, 392, 122, 500, 140, 164, 55, 10, 4, 0], [0, 4, 7, 82, 57, 384, 150, 444, 210, 108, 83, 2, 5, 0], [0, 4, 7, 82, 60, 361, 226, 304, 364, 10, 111, 6, 0, 1], [0, 4, 7, 83, 47, 428, 38, 626, 14, 248, 19, 19, 3, 0], [0, 4, 7, 83, 48, 420, 66, 570, 84, 192, 47, 11, 4, 0], [0, 4, 7, 83, 49, 412, 94, 514, 154, 136, 75, 3, 5, 0], [0, 4, 7, 83, 52, 389, 170, 374, 308, 38, 103, 7, 0, 1], [0, 4, 7, 84, 40, 448, 10, 640, 28, 220, 39, 12, 4, 0], [0, 4, 7, 84, 41, 440, 38, 584, 98, 164, 67, 4, 5, 0], [0, 4, 7, 84, 44, 417, 114, 444, 252, 66, 95, 8, 0, 1], [0, 4, 7, 84, 45, 409, 142, 388, 322, 10, 123, 0, 1, 1], [0, 4, 7, 85, 36, 445, 58, 514, 196, 94, 87, 9, 0, 1], [0, 4, 7, 85, 37, 437, 86, 458, 266, 38, 115, 1, 1, 1], [0, 4, 7, 86, 28, 473, 2, 584, 140, 122, 79, 10, 0, 1], [0, 4, 7, 86, 29, 465, 30, 528, 210, 66, 107, 2, 1, 1], [0, 4, 8, 65, 152, 116, 584, 38, 392, 128, 16, 33, 0, 0], [0, 4, 8, 66, 144, 144, 528, 108, 336, 156, 8, 34, 0, 0], [0, 4, 8, 66, 145, 136, 556, 52, 406, 100, 36, 26, 1, 0], [0, 4, 8, 67, 136, 172, 472, 178, 280, 184, 0, 35, 0, 0], [0, 4, 8, 67, 137, 164, 500, 122, 350, 128, 28, 27, 1, 0], [0, 4, 8, 67, 138, 156, 528, 66, 420, 72, 56, 19, 2, 0], [0, 4, 8, 67, 139, 148, 556, 10, 490, 16, 84, 11, 3, 0], [0, 4, 8, 68, 129, 192, 444, 192, 294, 156, 20, 28, 1, 0], [0, 4, 8, 68, 130, 184, 472, 136, 364, 100, 48, 20, 2, 0], [0, 4, 8, 68, 131, 176, 500, 80, 434, 44, 76, 12, 3, 0], [0, 4, 8, 69, 121, 220, 388, 262, 238, 184, 12, 29, 1, 0], [0, 4, 8, 69, 122, 212, 416, 206, 308, 128, 40, 21, 2, 0], [0, 4, 8, 69, 123, 204, 444, 150, 378, 72, 68, 13, 3, 0], [0, 4, 8, 69, 124, 196, 472, 94, 448, 16, 96, 5, 4, 0], [0, 4, 8, 70, 113, 248, 332, 332, 182, 212, 4, 30, 1, 0], [0, 4, 8, 70, 114, 240, 360, 276, 252, 156, 32, 22, 2, 0], [0, 4, 8, 70, 115, 232, 388, 220, 322, 100, 60, 14, 3, 0], [0, 4, 8, 70, 116, 224, 416, 164, 392, 44, 88, 6, 4, 0], [0, 4, 8, 71, 106, 268, 304, 346, 196, 184, 24, 23, 2, 0], [0, 4, 8, 71, 107, 260, 332, 290, 266, 128, 52, 15, 3, 0], [0, 4, 8, 71, 108, 252, 360, 234, 336, 72, 80, 7, 4, 0], [0, 4, 8, 72, 98, 296, 248, 416, 140, 212, 16, 24, 2, 0], [0, 4, 8, 72, 99, 288, 276, 360, 210, 156, 44, 16, 3, 0], [0, 4, 8, 72, 100, 280, 304, 304, 280, 100, 72, 8, 4, 0], [0, 4, 8, 72, 101, 272, 332, 248, 350, 44, 100, 0, 5, 0], [0, 4, 8, 73, 90, 324, 192, 486, 84, 240, 8, 25, 2, 0], [0, 4, 8, 73, 91, 316, 220, 430, 154, 184, 36, 17, 3, 0], [0, 4, 8, 73, 92, 308, 248, 374, 224, 128, 64, 9, 4, 0], [0, 4, 8, 73, 93, 300, 276, 318, 294, 72, 92, 1, 5, 0], [0, 4, 8, 74, 82, 352, 136, 556, 28, 268, 0, 26, 2, 0], [0, 4, 8, 74, 83, 344, 164, 500, 98, 212, 28, 18, 3, 0], [0, 4, 8, 74, 84, 336, 192, 444, 168, 156, 56, 10, 4, 0], [0, 4, 8, 74, 85, 328, 220, 388, 238, 100, 84, 2, 5, 0], [0, 4, 8, 74, 88, 305, 296, 248, 392, 2, 112, 6, 0, 1], [0, 4, 8, 75, 75, 372, 108, 570, 42, 240, 20, 19, 3, 0], [0, 4, 8, 75, 76, 364, 136, 514, 112, 184, 48, 11, 4, 0], [0, 4, 8, 75, 77, 356, 164, 458, 182, 128, 76, 3, 5, 0], [0, 4, 8, 75, 80, 333, 240, 318, 336, 30, 104, 7, 0, 1], [0, 4, 8, 76, 68, 392, 80, 584, 56, 212, 40, 12, 4, 0], [0, 4, 8, 76, 69, 384, 108, 528, 126, 156, 68, 4, 5, 0], [0, 4, 8, 76, 72, 361, 184, 388, 280, 58, 96, 8, 0, 1], [0, 4, 8, 76, 73, 353, 212, 332, 350, 2, 124, 0, 1, 1], [0, 4, 8, 77, 60, 420, 24, 654, 0, 240, 32, 13, 4, 0], [0, 4, 8, 77, 61, 412, 52, 598, 70, 184, 60, 5, 5, 0], [0, 4, 8, 77, 64, 389, 128, 458, 224, 86, 88, 9, 0, 1], [0, 4, 8, 77, 65, 381, 156, 402, 294, 30, 116, 1, 1, 1], [0, 4, 8, 78, 56, 417, 72, 528, 168, 114, 80, 10, 0, 1], [0, 4, 8, 78, 57, 409, 100, 472, 238, 58, 108, 2, 1, 1], [0, 4, 8, 79, 48, 445, 16, 598, 112, 142, 72, 11, 0, 1], [0, 4, 8, 79, 49, 437, 44, 542, 182, 86, 100, 3, 1, 1], [0, 4, 9, 58, 172, 88, 598, 52, 364, 148, 9, 34, 0, 0], [0, 4, 9, 59, 164, 116, 542, 122, 308, 176, 1, 35, 0, 0], [0, 4, 9, 59, 165, 108, 570, 66, 378, 120, 29, 27, 1, 0], [0, 4, 9, 59, 166, 100, 598, 10, 448, 64, 57, 19, 2, 0], [0, 4, 9, 60, 157, 136, 514, 136, 322, 148, 21, 28, 1, 0], [0, 4, 9, 60, 158, 128, 542, 80, 392, 92, 49, 20, 2, 0], [0, 4, 9, 60, 159, 120, 570, 24, 462, 36, 77, 12, 3, 0], [0, 4, 9, 61, 149, 164, 458, 206, 266, 176, 13, 29, 1, 0], [0, 4, 9, 61, 150, 156, 486, 150, 336, 120, 41, 21, 2, 0], [0, 4, 9, 61, 151, 148, 514, 94, 406, 64, 69, 13, 3, 0], [0, 4, 9, 61, 152, 140, 542, 38, 476, 8, 97, 5, 4, 0], [0, 4, 9, 62, 141, 192, 402, 276, 210, 204, 5, 30, 1, 0], [0, 4, 9, 62, 142, 184, 430, 220, 280, 148, 33, 22, 2, 0], [0, 4, 9, 62, 143, 176, 458, 164, 350, 92, 61, 14, 3, 0], [0, 4, 9, 62, 144, 168, 486, 108, 420, 36, 89, 6, 4, 0], [0, 4, 9, 63, 134, 212, 374, 290, 224, 176, 25, 23, 2, 0], [0, 4, 9, 63, 135, 204, 402, 234, 294, 120, 53, 15, 3, 0], [0, 4, 9, 63, 136, 196, 430, 178, 364, 64, 81, 7, 4, 0], [0, 4, 9, 64, 126, 240, 318, 360, 168, 204, 17, 24, 2, 0], [0, 4, 9, 64, 127, 232, 346, 304, 238, 148, 45, 16, 3, 0], [0, 4, 9, 64, 128, 224, 374, 248, 308, 92, 73, 8, 4, 0], [0, 4, 9, 64, 129, 216, 402, 192, 378, 36, 101, 0, 5, 0], [0, 4, 9, 65, 118, 268, 262, 430, 112, 232, 9, 25, 2, 0], [0, 4, 9, 65, 119, 260, 290, 374, 182, 176, 37, 17, 3, 0], [0, 4, 9, 65, 120, 252, 318, 318, 252, 120, 65, 9, 4, 0], [0, 4, 9, 65, 121, 244, 346, 262, 322, 64, 93, 1, 5, 0], [0, 4, 9, 66, 110, 296, 206, 500, 56, 260, 1, 26, 2, 0], [0, 4, 9, 66, 111, 288, 234, 444, 126, 204, 29, 18, 3, 0], [0, 4, 9, 66, 112, 280, 262, 388, 196, 148, 57, 10, 4, 0], [0, 4, 9, 66, 113, 272, 290, 332, 266, 92, 85, 2, 5, 0], [0, 4, 9, 67, 103, 316, 178, 514, 70, 232, 21, 19, 3, 0], [0, 4, 9, 67, 104, 308, 206, 458, 140, 176, 49, 11, 4, 0], [0, 4, 9, 67, 105, 300, 234, 402, 210, 120, 77, 3, 5, 0], [0, 4, 9, 67, 108, 277, 310, 262, 364, 22, 105, 7, 0, 1], [0, 4, 9, 68, 95, 344, 122, 584, 14, 260, 13, 20, 3, 0], [0, 4, 9, 68, 96, 336, 150, 528, 84, 204, 41, 12, 4, 0], [0, 4, 9, 68, 97, 328, 178, 472, 154, 148, 69, 4, 5, 0], [0, 4, 9, 68, 100, 305, 254, 332, 308, 50, 97, 8, 0, 1], [0, 4, 9, 69, 88, 364, 94, 598, 28, 232, 33, 13, 4, 0], [0, 4, 9, 69, 89, 356, 122, 542, 98, 176, 61, 5, 5, 0], [0, 4, 9, 69, 92, 333, 198, 402, 252, 78, 89, 9, 0, 1], [0, 4, 9, 69, 93, 325, 226, 346, 322, 22, 117, 1, 1, 1], [0, 4, 9, 70, 81, 384, 66, 612, 42, 204, 53, 6, 5, 0], [0, 4, 9, 70, 84, 361, 142, 472, 196, 106, 81, 10, 0, 1], [0, 4, 9, 70, 85, 353, 170, 416, 266, 50, 109, 2, 1, 1], [0, 4, 9, 71, 76, 389, 86, 542, 140, 134, 73, 11, 0, 1], [0, 4, 9, 71, 77, 381, 114, 486, 210, 78, 101, 3, 1, 1], [0, 4, 9, 72, 68, 417, 30, 612, 84, 162, 65, 12, 0, 1], [0, 4, 9, 72, 69, 409, 58, 556, 154, 106, 93, 4, 1, 1], [0, 4, 9, 73, 61, 437, 2, 626, 98, 134, 85, 5, 1, 1], [0, 4, 10, 51, 192, 60, 612, 66, 336, 168, 2, 35, 0, 0], [0, 4, 10, 51, 193, 52, 640, 10, 406, 112, 30, 27, 1, 0], [0, 4, 10, 52, 185, 80, 584, 80, 350, 140, 22, 28, 1, 0], [0, 4, 10, 52, 186, 72, 612, 24, 420, 84, 50, 20, 2, 0], [0, 4, 10, 53, 177, 108, 528, 150, 294, 168, 14, 29, 1, 0], [0, 4, 10, 53, 178, 100, 556, 94, 364, 112, 42, 21, 2, 0], [0, 4, 10, 53, 179, 92, 584, 38, 434, 56, 70, 13, 3, 0], [0, 4, 10, 54, 169, 136, 472, 220, 238, 196, 6, 30, 1, 0], [0, 4, 10, 54, 170, 128, 500, 164, 308, 140, 34, 22, 2, 0], [0, 4, 10, 54, 171, 120, 528, 108, 378, 84, 62, 14, 3, 0], [0, 4, 10, 54, 172, 112, 556, 52, 448, 28, 90, 6, 4, 0], [0, 4, 10, 55, 162, 156, 444, 234, 252, 168, 26, 23, 2, 0], [0, 4, 10, 55, 163, 148, 472, 178, 322, 112, 54, 15, 3, 0], [0, 4, 10, 55, 164, 140, 500, 122, 392, 56, 82, 7, 4, 0], [0, 4, 10, 56, 154, 184, 388, 304, 196, 196, 18, 24, 2, 0], [0, 4, 10, 56, 155, 176, 416, 248, 266, 140, 46, 16, 3, 0], [0, 4, 10, 56, 156, 168, 444, 192, 336, 84, 74, 8, 4, 0], [0, 4, 10, 56, 157, 160, 472, 136, 406, 28, 102, 0, 5, 0], [0, 4, 10, 57, 146, 212, 332, 374, 140, 224, 10, 25, 2, 0], [0, 4, 10, 57, 147, 204, 360, 318, 210, 168, 38, 17, 3, 0], [0, 4, 10, 57, 148, 196, 388, 262, 280, 112, 66, 9, 4, 0], [0, 4, 10, 57, 149, 188, 416, 206, 350, 56, 94, 1, 5, 0], [0, 4, 10, 58, 138, 240, 276, 444, 84, 252, 2, 26, 2, 0], [0, 4, 10, 58, 139, 232, 304, 388, 154, 196, 30, 18, 3, 0], [0, 4, 10, 58, 140, 224, 332, 332, 224, 140, 58, 10, 4, 0], [0, 4, 10, 58, 141, 216, 360, 276, 294, 84, 86, 2, 5, 0], [0, 4, 10, 59, 131, 260, 248, 458, 98, 224, 22, 19, 3, 0], [0, 4, 10, 59, 132, 252, 276, 402, 168, 168, 50, 11, 4, 0], [0, 4, 10, 59, 133, 244, 304, 346, 238, 112, 78, 3, 5, 0], [0, 4, 10, 59, 136, 221, 380, 206, 392, 14, 106, 7, 0, 1], [0, 4, 10, 60, 123, 288, 192, 528, 42, 252, 14, 20, 3, 0], [0, 4, 10, 60, 124, 280, 220, 472, 112, 196, 42, 12, 4, 0], [0, 4, 10, 60, 125, 272, 248, 416, 182, 140, 70, 4, 5, 0], [0, 4, 10, 60, 128, 249, 324, 276, 336, 42, 98, 8, 0, 1], [0, 4, 10, 61, 116, 308, 164, 542, 56, 224, 34, 13, 4, 0], [0, 4, 10, 61, 117, 300, 192, 486, 126, 168, 62, 5, 5, 0], [0, 4, 10, 61, 120, 277, 268, 346, 280, 70, 90, 9, 0, 1], [0, 4, 10, 61, 121, 269, 296, 290, 350, 14, 118, 1, 1, 1], [0, 4, 10, 62, 108, 336, 108, 612, 0, 252, 26, 14, 4, 0], [0, 4, 10, 62, 109, 328, 136, 556, 70, 196, 54, 6, 5, 0], [0, 4, 10, 62, 112, 305, 212, 416, 224, 98, 82, 10, 0, 1], [0, 4, 10, 62, 113, 297, 240, 360, 294, 42, 110, 2, 1, 1], [0, 4, 10, 63, 101, 356, 80, 626, 14, 224, 46, 7, 5, 0], [0, 4, 10, 63, 104, 333, 156, 486, 168, 126, 74, 11, 0, 1], [0, 4, 10, 63, 105, 325, 184, 430, 238, 70, 102, 3, 1, 1], [0, 4, 10, 64, 94, 376, 52, 640, 28, 196, 66, 0, 6, 0], [0, 4, 10, 64, 96, 361, 100, 556, 112, 154, 66, 12, 0, 1], [0, 4, 10, 64, 97, 353, 128, 500, 182, 98, 94, 4, 1, 1], [0, 4, 10, 65, 88, 389, 44, 626, 56, 182, 58, 13, 0, 1], [0, 4, 10, 65, 89, 381, 72, 570, 126, 126, 86, 5, 1, 1], [0, 4, 10, 66, 81, 409, 16, 640, 70, 154, 78, 6, 1, 1], [0, 4, 11, 43, 220, 4, 682, 10, 364, 160, 3, 35, 0, 0], [0, 4, 11, 44, 213, 24, 654, 24, 378, 132, 23, 28, 1, 0], [0, 4, 11, 45, 205, 52, 598, 94, 322, 160, 15, 29, 1, 0], [0, 4, 11, 45, 206, 44, 626, 38, 392, 104, 43, 21, 2, 0], [0, 4, 11, 46, 197, 80, 542, 164, 266, 188, 7, 30, 1, 0], [0, 4, 11, 46, 198, 72, 570, 108, 336, 132, 35, 22, 2, 0], [0, 4, 11, 46, 199, 64, 598, 52, 406, 76, 63, 14, 3, 0], [0, 4, 11, 47, 190, 100, 514, 178, 280, 160, 27, 23, 2, 0], [0, 4, 11, 47, 191, 92, 542, 122, 350, 104, 55, 15, 3, 0], [0, 4, 11, 47, 192, 84, 570, 66, 420, 48, 83, 7, 4, 0], [0, 4, 11, 48, 182, 128, 458, 248, 224, 188, 19, 24, 2, 0], [0, 4, 11, 48, 183, 120, 486, 192, 294, 132, 47, 16, 3, 0], [0, 4, 11, 48, 184, 112, 514, 136, 364, 76, 75, 8, 4, 0], [0, 4, 11, 48, 185, 104, 542, 80, 434, 20, 103, 0, 5, 0], [0, 4, 11, 49, 174, 156, 402, 318, 168, 216, 11, 25, 2, 0], [0, 4, 11, 49, 175, 148, 430, 262, 238, 160, 39, 17, 3, 0], [0, 4, 11, 49, 176, 140, 458, 206, 308, 104, 67, 9, 4, 0], [0, 4, 11, 49, 177, 132, 486, 150, 378, 48, 95, 1, 5, 0], [0, 4, 11, 50, 166, 184, 346, 388, 112, 244, 3, 26, 2, 0], [0, 4, 11, 50, 167, 176, 374, 332, 182, 188, 31, 18, 3, 0], [0, 4, 11, 50, 168, 168, 402, 276, 252, 132, 59, 10, 4, 0], [0, 4, 11, 50, 169, 160, 430, 220, 322, 76, 87, 2, 5, 0], [0, 4, 11, 51, 159, 204, 318, 402, 126, 216, 23, 19, 3, 0], [0, 4, 11, 51, 160, 196, 346, 346, 196, 160, 51, 11, 4, 0], [0, 4, 11, 51, 161, 188, 374, 290, 266, 104, 79, 3, 5, 0], [0, 4, 11, 51, 164, 165, 450, 150, 420, 6, 107, 7, 0, 1], [0, 4, 11, 52, 151, 232, 262, 472, 70, 244, 15, 20, 3, 0], [0, 4, 11, 52, 152, 224, 290, 416, 140, 188, 43, 12, 4, 0], [0, 4, 11, 52, 153, 216, 318, 360, 210, 132, 71, 4, 5, 0], [0, 4, 11, 52, 156, 193, 394, 220, 364, 34, 99, 8, 0, 1], [0, 4, 11, 53, 143, 260, 206, 542, 14, 272, 7, 21, 3, 0], [0, 4, 11, 53, 144, 252, 234, 486, 84, 216, 35, 13, 4, 0], [0, 4, 11, 53, 145, 244, 262, 430, 154, 160, 63, 5, 5, 0], [0, 4, 11, 53, 148, 221, 338, 290, 308, 62, 91, 9, 0, 1], [0, 4, 11, 53, 149, 213, 366, 234, 378, 6, 119, 1, 1, 1], [0, 4, 11, 54, 136, 280, 178, 556, 28, 244, 27, 14, 4, 0], [0, 4, 11, 54, 137, 272, 206, 500, 98, 188, 55, 6, 5, 0], [0, 4, 11, 54, 140, 249, 282, 360, 252, 90, 83, 10, 0, 1], [0, 4, 11, 54, 141, 241, 310, 304, 322, 34, 111, 2, 1, 1], [0, 4, 11, 55, 129, 300, 150, 570, 42, 216, 47, 7, 5, 0], [0, 4, 11, 55, 132, 277, 226, 430, 196, 118, 75, 11, 0, 1], [0, 4, 11, 55, 133, 269, 254, 374, 266, 62, 103, 3, 1, 1], [0, 4, 11, 56, 122, 320, 122, 584, 56, 188, 67, 0, 6, 0], [0, 4, 11, 56, 124, 305, 170, 500, 140, 146, 67, 12, 0, 1], [0, 4, 11, 56, 125, 297, 198, 444, 210, 90, 95, 4, 1, 1], [0, 4, 11, 57, 114, 348, 66, 654, 0, 216, 59, 1, 6, 0], [0, 4, 11, 57, 116, 333, 114, 570, 84, 174, 59, 13, 0, 1], [0, 4, 11, 57, 117, 325, 142, 514, 154, 118, 87, 5, 1, 1], [0, 4, 11, 58, 108, 361, 58, 640, 28, 202, 51, 14, 0, 1], [0, 4, 11, 58, 109, 353, 86, 584, 98, 146, 79, 6, 1, 1], [0, 4, 11, 59, 101, 381, 30, 654, 42, 174, 71, 7, 1, 1], [0, 4, 11, 60, 94, 401, 2, 668, 56, 146, 91, 0, 2, 1], [0, 4, 12, 38, 225, 24, 612, 108, 294, 180, 8, 30, 1, 0], [0, 4, 12, 38, 226, 16, 640, 52, 364, 124, 36, 22, 2, 0], [0, 4, 12, 39, 217, 52, 556, 178, 238, 208, 0, 31, 1, 0], [0, 4, 12, 39, 218, 44, 584, 122, 308, 152, 28, 23, 2, 0], [0, 4, 12, 39, 219, 36, 612, 66, 378, 96, 56, 15, 3, 0], [0, 4, 12, 39, 220, 28, 640, 10, 448, 40, 84, 7, 4, 0], [0, 4, 12, 40, 210, 72, 528, 192, 252, 180, 20, 24, 2, 0], [0, 4, 12, 40, 211, 64, 556, 136, 322, 124, 48, 16, 3, 0], [0, 4, 12, 40, 212, 56, 584, 80, 392, 68, 76, 8, 4, 0], [0, 4, 12, 40, 213, 48, 612, 24, 462, 12, 104, 0, 5, 0], [0, 4, 12, 41, 202, 100, 472, 262, 196, 208, 12, 25, 2, 0], [0, 4, 12, 41, 203, 92, 500, 206, 266, 152, 40, 17, 3, 0], [0, 4, 12, 41, 204, 84, 528, 150, 336, 96, 68, 9, 4, 0], [0, 4, 12, 41, 205, 76, 556, 94, 406, 40, 96, 1, 5, 0], [0, 4, 12, 42, 194, 128, 416, 332, 140, 236, 4, 26, 2, 0], [0, 4, 12, 42, 195, 120, 444, 276, 210, 180, 32, 18, 3, 0], [0, 4, 12, 42, 196, 112, 472, 220, 280, 124, 60, 10, 4, 0], [0, 4, 12, 42, 197, 104, 500, 164, 350, 68, 88, 2, 5, 0], [0, 4, 12, 43, 187, 148, 388, 346, 154, 208, 24, 19, 3, 0], [0, 4, 12, 43, 188, 140, 416, 290, 224, 152, 52, 11, 4, 0], [0, 4, 12, 43, 189, 132, 444, 234, 294, 96, 80, 3, 5, 0], [0, 4, 12, 44, 179, 176, 332, 416, 98, 236, 16, 20, 3, 0], [0, 4, 12, 44, 180, 168, 360, 360, 168, 180, 44, 12, 4, 0], [0, 4, 12, 44, 181, 160, 388, 304, 238, 124, 72, 4, 5, 0], [0, 4, 12, 44, 184, 137, 464, 164, 392, 26, 100, 8, 0, 1], [0, 4, 12, 45, 171, 204, 276, 486, 42, 264, 8, 21, 3, 0], [0, 4, 12, 45, 172, 196, 304, 430, 112, 208, 36, 13, 4, 0], [0, 4, 12, 45, 173, 188, 332, 374, 182, 152, 64, 5, 5, 0], [0, 4, 12, 45, 176, 165, 408, 234, 336, 54, 92, 9, 0, 1], [0, 4, 12, 46, 164, 224, 248, 500, 56, 236, 28, 14, 4, 0], [0, 4, 12, 46, 165, 216, 276, 444, 126, 180, 56, 6, 5, 0], [0, 4, 12, 46, 168, 193, 352, 304, 280, 82, 84, 10, 0, 1], [0, 4, 12, 46, 169, 185, 380, 248, 350, 26, 112, 2, 1, 1], [0, 4, 12, 47, 156, 252, 192, 570, 0, 264, 20, 15, 4, 0], [0, 4, 12, 47, 157, 244, 220, 514, 70, 208, 48, 7, 5, 0], [0, 4, 12, 47, 160, 221, 296, 374, 224, 110, 76, 11, 0, 1], [0, 4, 12, 47, 161, 213, 324, 318, 294, 54, 104, 3, 1, 1], [0, 4, 12, 48, 149, 272, 164, 584, 14, 236, 40, 8, 5, 0], [0, 4, 12, 48, 150, 264, 192, 528, 84, 180, 68, 0, 6, 0], [0, 4, 12, 48, 152, 249, 240, 444, 168, 138, 68, 12, 0, 1], [0, 4, 12, 48, 153, 241, 268, 388, 238, 82, 96, 4, 1, 1], [0, 4, 12, 49, 142, 292, 136, 598, 28, 208, 60, 1, 6, 0], [0, 4, 12, 49, 144, 277, 184, 514, 112, 166, 60, 13, 0, 1], [0, 4, 12, 49, 145, 269, 212, 458, 182, 110, 88, 5, 1, 1], [0, 4, 12, 50, 136, 305, 128, 584, 56, 194, 52, 14, 0, 1], [0, 4, 12, 50, 137, 297, 156, 528, 126, 138, 80, 6, 1, 1], [0, 4, 12, 51, 128, 333, 72, 654, 0, 222, 44, 15, 0, 1], [0, 4, 12, 51, 129, 325, 100, 598, 70, 166, 72, 7, 1, 1], [0, 4, 12, 52, 121, 353, 44, 668, 14, 194, 64, 8, 1, 1], [0, 4, 12, 52, 122, 345, 72, 612, 84, 138, 92, 0, 2, 1], [0, 4, 12, 53, 114, 373, 16, 682, 28, 166, 84, 1, 2, 1], [0, 4, 13, 32, 238, 16, 598, 136, 280, 172, 21, 24, 2, 0], [0, 4, 13, 32, 239, 8, 626, 80, 350, 116, 49, 16, 3, 0], [0, 4, 13, 32, 240, 0, 654, 24, 420, 60, 77, 8, 4, 0], [0, 4, 13, 33, 230, 44, 542, 206, 224, 200, 13, 25, 2, 0], [0, 4, 13, 33, 231, 36, 570, 150, 294, 144, 41, 17, 3, 0], [0, 4, 13, 33, 232, 28, 598, 94, 364, 88, 69, 9, 4, 0], [0, 4, 13, 33, 233, 20, 626, 38, 434, 32, 97, 1, 5, 0], [0, 4, 13, 34, 222, 72, 486, 276, 168, 228, 5, 26, 2, 0], [0, 4, 13, 34, 223, 64, 514, 220, 238, 172, 33, 18, 3, 0], [0, 4, 13, 34, 224, 56, 542, 164, 308, 116, 61, 10, 4, 0], [0, 4, 13, 34, 225, 48, 570, 108, 378, 60, 89, 2, 5, 0], [0, 4, 13, 35, 215, 92, 458, 290, 182, 200, 25, 19, 3, 0], [0, 4, 13, 35, 216, 84, 486, 234, 252, 144, 53, 11, 4, 0], [0, 4, 13, 35, 217, 76, 514, 178, 322, 88, 81, 3, 5, 0], [0, 4, 13, 36, 207, 120, 402, 360, 126, 228, 17, 20, 3, 0], [0, 4, 13, 36, 208, 112, 430, 304, 196, 172, 45, 12, 4, 0], [0, 4, 13, 36, 209, 104, 458, 248, 266, 116, 73, 4, 5, 0], [0, 4, 13, 36, 212, 81, 534, 108, 420, 18, 101, 8, 0, 1], [0, 4, 13, 37, 199, 148, 346, 430, 70, 256, 9, 21, 3, 0], [0, 4, 13, 37, 200, 140, 374, 374, 140, 200, 37, 13, 4, 0], [0, 4, 13, 37, 201, 132, 402, 318, 210, 144, 65, 5, 5, 0], [0, 4, 13, 37, 204, 109, 478, 178, 364, 46, 93, 9, 0, 1], [0, 4, 13, 38, 191, 176, 290, 500, 14, 284, 1, 22, 3, 0], [0, 4, 13, 38, 192, 168, 318, 444, 84, 228, 29, 14, 4, 0], [0, 4, 13, 38, 193, 160, 346, 388, 154, 172, 57, 6, 5, 0], [0, 4, 13, 38, 196, 137, 422, 248, 308, 74, 85, 10, 0, 1], [0, 4, 13, 38, 197, 129, 450, 192, 378, 18, 113, 2, 1, 1], [0, 4, 13, 39, 184, 196, 262, 514, 28, 256, 21, 15, 4, 0], [0, 4, 13, 39, 185, 188, 290, 458, 98, 200, 49, 7, 5, 0], [0, 4, 13, 39, 188, 165, 366, 318, 252, 102, 77, 11, 0, 1], [0, 4, 13, 39, 189, 157, 394, 262, 322, 46, 105, 3, 1, 1], [0, 4, 13, 40, 177, 216, 234, 528, 42, 228, 41, 8, 5, 0], [0, 4, 13, 40, 178, 208, 262, 472, 112, 172, 69, 0, 6, 0], [0, 4, 13, 40, 180, 193, 310, 388, 196, 130, 69, 12, 0, 1], [0, 4, 13, 40, 181, 185, 338, 332, 266, 74, 97, 4, 1, 1], [0, 4, 13, 41, 170, 236, 206, 542, 56, 200, 61, 1, 6, 0], [0, 4, 13, 41, 172, 221, 254, 458, 140, 158, 61, 13, 0, 1], [0, 4, 13, 41, 173, 213, 282, 402, 210, 102, 89, 5, 1, 1], [0, 4, 13, 42, 162, 264, 150, 612, 0, 228, 53, 2, 6, 0], [0, 4, 13, 42, 164, 249, 198, 528, 84, 186, 53, 14, 0, 1], [0, 4, 13, 42, 165, 241, 226, 472, 154, 130, 81, 6, 1, 1], [0, 4, 13, 43, 156, 277, 142, 598, 28, 214, 45, 15, 0, 1], [0, 4, 13, 43, 157, 269, 170, 542, 98, 158, 73, 7, 1, 1], [0, 4, 13, 44, 149, 297, 114, 612, 42, 186, 65, 8, 1, 1], [0, 4, 13, 44, 150, 289, 142, 556, 112, 130, 93, 0, 2, 1], [0, 4, 13, 45, 142, 317, 86, 626, 56, 158, 85, 1, 2, 1], [0, 4, 13, 46, 134, 345, 30, 696, 0, 186, 77, 2, 2, 1], [0, 4, 14, 26, 250, 16, 556, 220, 196, 220, 6, 26, 2, 0], [0, 4, 14, 26, 251, 8, 584, 164, 266, 164, 34, 18, 3, 0], [0, 4, 14, 26, 252, 0, 612, 108, 336, 108, 62, 10, 4, 0], [0, 4, 14, 27, 243, 36, 528, 234, 210, 192, 26, 19, 3, 0], [0, 4, 14, 27, 244, 28, 556, 178, 280, 136, 54, 11, 4, 0], [0, 4, 14, 27, 245, 20, 584, 122, 350, 80, 82, 3, 5, 0], [0, 4, 14, 28, 235, 64, 472, 304, 154, 220, 18, 20, 3, 0], [0, 4, 14, 28, 236, 56, 500, 248, 224, 164, 46, 12, 4, 0], [0, 4, 14, 28, 237, 48, 528, 192, 294, 108, 74, 4, 5, 0], [0, 4, 14, 28, 240, 25, 604, 52, 448, 10, 102, 8, 0, 1], [0, 4, 14, 29, 227, 92, 416, 374, 98, 248, 10, 21, 3, 0], [0, 4, 14, 29, 228, 84, 444, 318, 168, 192, 38, 13, 4, 0], [0, 4, 14, 29, 229, 76, 472, 262, 238, 136, 66, 5, 5, 0], [0, 4, 14, 29, 232, 53, 548, 122, 392, 38, 94, 9, 0, 1], [0, 4, 14, 30, 219, 120, 360, 444, 42, 276, 2, 22, 3, 0], [0, 4, 14, 30, 220, 112, 388, 388, 112, 220, 30, 14, 4, 0], [0, 4, 14, 30, 221, 104, 416, 332, 182, 164, 58, 6, 5, 0], [0, 4, 14, 30, 224, 81, 492, 192, 336, 66, 86, 10, 0, 1], [0, 4, 14, 30, 225, 73, 520, 136, 406, 10, 114, 2, 1, 1], [0, 4, 14, 31, 212, 140, 332, 458, 56, 248, 22, 15, 4, 0], [0, 4, 14, 31, 213, 132, 360, 402, 126, 192, 50, 7, 5, 0], [0, 4, 14, 31, 216, 109, 436, 262, 280, 94, 78, 11, 0, 1], [0, 4, 14, 31, 217, 101, 464, 206, 350, 38, 106, 3, 1, 1], [0, 4, 14, 32, 204, 168, 276, 528, 0, 276, 14, 16, 4, 0], [0, 4, 14, 32, 205, 160, 304, 472, 70, 220, 42, 8, 5, 0], [0, 4, 14, 32, 206, 152, 332, 416, 140, 164, 70, 0, 6, 0], [0, 4, 14, 32, 208, 137, 380, 332, 224, 122, 70, 12, 0, 1], [0, 4, 14, 32, 209, 129, 408, 276, 294, 66, 98, 4, 1, 1], [0, 4, 14, 33, 197, 188, 248, 542, 14, 248, 34, 9, 5, 0], [0, 4, 14, 33, 198, 180, 276, 486, 84, 192, 62, 1, 6, 0], [0, 4, 14, 33, 200, 165, 324, 402, 168, 150, 62, 13, 0, 1], [0, 4, 14, 33, 201, 157, 352, 346, 238, 94, 90, 5, 1, 1], [0, 4, 14, 34, 190, 208, 220, 556, 28, 220, 54, 2, 6, 0], [0, 4, 14, 34, 192, 193, 268, 472, 112, 178, 54, 14, 0, 1], [0, 4, 14, 34, 193, 185, 296, 416, 182, 122, 82, 6, 1, 1], [0, 4, 14, 35, 184, 221, 212, 542, 56, 206, 46, 15, 0, 1], [0, 4, 14, 35, 185, 213, 240, 486, 126, 150, 74, 7, 1, 1], [0, 4, 14, 36, 176, 249, 156, 612, 0, 234, 38, 16, 0, 1], [0, 4, 14, 36, 177, 241, 184, 556, 70, 178, 66, 8, 1, 1], [0, 4, 14, 36, 178, 233, 212, 500, 140, 122, 94, 0, 2, 1], [0, 4, 14, 37, 169, 269, 128, 626, 14, 206, 58, 9, 1, 1], [0, 4, 14, 37, 170, 261, 156, 570, 84, 150, 86, 1, 2, 1], [0, 4, 14, 38, 162, 289, 100, 640, 28, 178, 78, 2, 2, 1], [0, 4, 15, 20, 263, 8, 542, 248, 182, 212, 19, 20, 3, 0], [0, 4, 15, 20, 264, 0, 570, 192, 252, 156, 47, 12, 4, 0], [0, 4, 15, 21, 255, 36, 486, 318, 126, 240, 11, 21, 3, 0], [0, 4, 15, 21, 256, 28, 514, 262, 196, 184, 39, 13, 4, 0], [0, 4, 15, 21, 257, 20, 542, 206, 266, 128, 67, 5, 5, 0], [0, 4, 15, 22, 247, 64, 430, 388, 70, 268, 3, 22, 3, 0], [0, 4, 15, 22, 248, 56, 458, 332, 140, 212, 31, 14, 4, 0], [0, 4, 15, 22, 249, 48, 486, 276, 210, 156, 59, 6, 5, 0], [0, 4, 15, 22, 252, 25, 562, 136, 364, 58, 87, 10, 0, 1], [0, 4, 15, 22, 253, 17, 590, 80, 434, 2, 115, 2, 1, 1], [0, 4, 15, 23, 240, 84, 402, 402, 84, 240, 23, 15, 4, 0], [0, 4, 15, 23, 241, 76, 430, 346, 154, 184, 51, 7, 5, 0], [0, 4, 15, 23, 244, 53, 506, 206, 308, 86, 79, 11, 0, 1], [0, 4, 15, 23, 245, 45, 534, 150, 378, 30, 107, 3, 1, 1], [0, 4, 15, 24, 232, 112, 346, 472, 28, 268, 15, 16, 4, 0], [0, 4, 15, 24, 233, 104, 374, 416, 98, 212, 43, 8, 5, 0], [0, 4, 15, 24, 234, 96, 402, 360, 168, 156, 71, 0, 6, 0], [0, 4, 15, 24, 236, 81, 450, 276, 252, 114, 71, 12, 0, 1], [0, 4, 15, 24, 237, 73, 478, 220, 322, 58, 99, 4, 1, 1], [0, 4, 15, 25, 225, 132, 318, 486, 42, 240, 35, 9, 5, 0], [0, 4, 15, 25, 226, 124, 346, 430, 112, 184, 63, 1, 6, 0], [0, 4, 15, 25, 228, 109, 394, 346, 196, 142, 63, 13, 0, 1], [0, 4, 15, 25, 229, 101, 422, 290, 266, 86, 91, 5, 1, 1], [0, 4, 15, 26, 218, 152, 290, 500, 56, 212, 55, 2, 6, 0], [0, 4, 15, 26, 220, 137, 338, 416, 140, 170, 55, 14, 0, 1], [0, 4, 15, 26, 221, 129, 366, 360, 210, 114, 83, 6, 1, 1], [0, 4, 15, 27, 210, 180, 234, 570, 0, 240, 47, 3, 6, 0], [0, 4, 15, 27, 212, 165, 282, 486, 84, 198, 47, 15, 0, 1], [0, 4, 15, 27, 213, 157, 310, 430, 154, 142, 75, 7, 1, 1], [0, 4, 15, 28, 204, 193, 226, 556, 28, 226, 39, 16, 0, 1], [0, 4, 15, 28, 205, 185, 254, 500, 98, 170, 67, 8, 1, 1], [0, 4, 15, 28, 206, 177, 282, 444, 168, 114, 95, 0, 2, 1], [0, 4, 15, 29, 197, 213, 198, 570, 42, 198, 59, 9, 1, 1], [0, 4, 15, 29, 198, 205, 226, 514, 112, 142, 87, 1, 2, 1], [0, 4, 15, 30, 190, 233, 170, 584, 56, 170, 79, 2, 2, 1], [0, 4, 15, 31, 182, 261, 114, 654, 0, 198, 71, 3, 2, 1], [0, 4, 16, 14, 275, 8, 500, 332, 98, 260, 4, 22, 3, 0], [0, 4, 16, 14, 276, 0, 528, 276, 168, 204, 32, 14, 4, 0], [0, 4, 16, 15, 268, 28, 472, 346, 112, 232, 24, 15, 4, 0], [0, 4, 16, 15, 269, 20, 500, 290, 182, 176, 52, 7, 5, 0], [0, 4, 16, 16, 260, 56, 416, 416, 56, 260, 16, 16, 4, 0], [0, 4, 16, 16, 261, 48, 444, 360, 126, 204, 44, 8, 5, 0], [0, 4, 16, 16, 262, 40, 472, 304, 196, 148, 72, 0, 6, 0], [0, 4, 16, 16, 264, 25, 520, 220, 280, 106, 72, 12, 0, 1], [0, 4, 16, 16, 265, 17, 548, 164, 350, 50, 100, 4, 1, 1], [0, 4, 16, 17, 252, 84, 360, 486, 0, 288, 8, 17, 4, 0], [0, 4, 16, 17, 253, 76, 388, 430, 70, 232, 36, 9, 5, 0], [0, 4, 16, 17, 254, 68, 416, 374, 140, 176, 64, 1, 6, 0], [0, 4, 16, 17, 256, 53, 464, 290, 224, 134, 64, 13, 0, 1], [0, 4, 16, 17, 257, 45, 492, 234, 294, 78, 92, 5, 1, 1], [0, 4, 16, 18, 245, 104, 332, 500, 14, 260, 28, 10, 5, 0], [0, 4, 16, 18, 246, 96, 360, 444, 84, 204, 56, 2, 6, 0], [0, 4, 16, 18, 248, 81, 408, 360, 168, 162, 56, 14, 0, 1], [0, 4, 16, 18, 249, 73, 436, 304, 238, 106, 84, 6, 1, 1], [0, 4, 16, 19, 238, 124, 304, 514, 28, 232, 48, 3, 6, 0], [0, 4, 16, 19, 240, 109, 352, 430, 112, 190, 48, 15, 0, 1], [0, 4, 16, 19, 241, 101, 380, 374, 182, 134, 76, 7, 1, 1], [0, 4, 16, 20, 232, 137, 296, 500, 56, 218, 40, 16, 0, 1], [0, 4, 16, 20, 233, 129, 324, 444, 126, 162, 68, 8, 1, 1], [0, 4, 16, 20, 234, 121, 352, 388, 196, 106, 96, 0, 2, 1], [0, 4, 16, 21, 224, 165, 240, 570, 0, 246, 32, 17, 0, 1], [0, 4, 16, 21, 225, 157, 268, 514, 70, 190, 60, 9, 1, 1], [0, 4, 16, 21, 226, 149, 296, 458, 140, 134, 88, 1, 2, 1], [0, 4, 16, 22, 217, 185, 212, 584, 14, 218, 52, 10, 1, 1], [0, 4, 16, 22, 218, 177, 240, 528, 84, 162, 80, 2, 2, 1], [0, 4, 16, 23, 210, 205, 184, 598, 28, 190, 72, 3, 2, 1], [0, 4, 17, 8, 288, 0, 486, 360, 84, 252, 17, 16, 4, 0], [0, 4, 17, 9, 280, 28, 430, 430, 28, 280, 9, 17, 4, 0], [0, 4, 17, 9, 281, 20, 458, 374, 98, 224, 37, 9, 5, 0], [0, 4, 17, 9, 282, 12, 486, 318, 168, 168, 65, 1, 6, 0], [0, 4, 17, 10, 273, 48, 402, 444, 42, 252, 29, 10, 5, 0], [0, 4, 17, 10, 274, 40, 430, 388, 112, 196, 57, 2, 6, 0], [0, 4, 17, 10, 276, 25, 478, 304, 196, 154, 57, 14, 0, 1], [0, 4, 17, 10, 277, 17, 506, 248, 266, 98, 85, 6, 1, 1], [0, 4, 17, 11, 266, 68, 374, 458, 56, 224, 49, 3, 6, 0], [0, 4, 17, 11, 268, 53, 422, 374, 140, 182, 49, 15, 0, 1], [0, 4, 17, 11, 269, 45, 450, 318, 210, 126, 77, 7, 1, 1], [0, 4, 17, 12, 258, 96, 318, 528, 0, 252, 41, 4, 6, 0], [0, 4, 17, 12, 260, 81, 366, 444, 84, 210, 41, 16, 0, 1], [0, 4, 17, 12, 261, 73, 394, 388, 154, 154, 69, 8, 1, 1], [0, 4, 17, 12, 262, 65, 422, 332, 224, 98, 97, 0, 2, 1], [0, 4, 17, 13, 252, 109, 310, 514, 28, 238, 33, 17, 0, 1], [0, 4, 17, 13, 253, 101, 338, 458, 98, 182, 61, 9, 1, 1], [0, 4, 17, 13, 254, 93, 366, 402, 168, 126, 89, 1, 2, 1], [0, 4, 17, 14, 245, 129, 282, 528, 42, 210, 53, 10, 1, 1], [0, 4, 17, 14, 246, 121, 310, 472, 112, 154, 81, 2, 2, 1], [0, 4, 17, 15, 238, 149, 254, 542, 56, 182, 73, 3, 2, 1], [0, 4, 17, 16, 230, 177, 198, 612, 0, 210, 65, 4, 2, 1], [0, 4, 18, 2, 300, 0, 444, 444, 0, 300, 2, 18, 4, 0], [0, 4, 18, 3, 293, 20, 416, 458, 14, 272, 22, 11, 5, 0], [0, 4, 18, 3, 294, 12, 444, 402, 84, 216, 50, 3, 6, 0], [0, 4, 18, 4, 286, 40, 388, 472, 28, 244, 42, 4, 6, 0], [0, 4, 18, 4, 288, 25, 436, 388, 112, 202, 42, 16, 0, 1], [0, 4, 18, 4, 289, 17, 464, 332, 182, 146, 70, 8, 1, 1], [0, 4, 18, 4, 290, 9, 492, 276, 252, 90, 98, 0, 2, 1], [0, 4, 18, 5, 280, 53, 380, 458, 56, 230, 34, 17, 0, 1], [0, 4, 18, 5, 281, 45, 408, 402, 126, 174, 62, 9, 1, 1], [0, 4, 18, 5, 282, 37, 436, 346, 196, 118, 90, 1, 2, 1], [0, 4, 18, 6, 272, 81, 324, 528, 0, 258, 26, 18, 0, 1], [0, 4, 18, 6, 273, 73, 352, 472, 70, 202, 54, 10, 1, 1], [0, 4, 18, 6, 274, 65, 380, 416, 140, 146, 82, 2, 2, 1], [0, 4, 18, 7, 265, 101, 296, 542, 14, 230, 46, 11, 1, 1], [0, 4, 18, 7, 266, 93, 324, 486, 84, 174, 74, 3, 2, 1], [0, 4, 18, 8, 258, 121, 268, 556, 28, 202, 66, 4, 2, 1], [0, 4, 19, 0, 286, 65, 338, 500, 56, 194, 67, 4, 2, 1], [0, 4, 19, 1, 278, 93, 282, 570, 0, 222, 59, 5, 2, 1], [0, 5, 0, 93, 96, 186, 528, 66, 384, 129, 16, 33, 0, 0], [0, 5, 0, 93, 97, 178, 556, 10, 454, 73, 44, 25, 1, 0], [0, 5, 0, 94, 88, 214, 472, 136, 328, 157, 8, 34, 0, 0], [0, 5, 0, 94, 89, 206, 500, 80, 398, 101, 36, 26, 1, 0], [0, 5, 0, 94, 90, 198, 528, 24, 468, 45, 64, 18, 2, 0], [0, 5, 0, 95, 80, 242, 416, 206, 272, 185, 0, 35, 0, 0], [0, 5, 0, 95, 81, 234, 444, 150, 342, 129, 28, 27, 1, 0], [0, 5, 0, 95, 82, 226, 472, 94, 412, 73, 56, 19, 2, 0], [0, 5, 0, 95, 83, 218, 500, 38, 482, 17, 84, 11, 3, 0], [0, 5, 0, 96, 73, 262, 388, 220, 286, 157, 20, 28, 1, 0], [0, 5, 0, 96, 74, 254, 416, 164, 356, 101, 48, 20, 2, 0], [0, 5, 0, 96, 75, 246, 444, 108, 426, 45, 76, 12, 3, 0], [0, 5, 0, 97, 65, 290, 332, 290, 230, 185, 12, 29, 1, 0], [0, 5, 0, 97, 66, 282, 360, 234, 300, 129, 40, 21, 2, 0], [0, 5, 0, 97, 67, 274, 388, 178, 370, 73, 68, 13, 3, 0], [0, 5, 0, 97, 68, 266, 416, 122, 440, 17, 96, 5, 4, 0], [0, 5, 0, 98, 57, 318, 276, 360, 174, 213, 4, 30, 1, 0], [0, 5, 0, 98, 58, 310, 304, 304, 244, 157, 32, 22, 2, 0], [0, 5, 0, 98, 59, 302, 332, 248, 314, 101, 60, 14, 3, 0], [0, 5, 0, 98, 60, 294, 360, 192, 384, 45, 88, 6, 4, 0], [0, 5, 0, 99, 50, 338, 248, 374, 188, 185, 24, 23, 2, 0], [0, 5, 0, 99, 51, 330, 276, 318, 258, 129, 52, 15, 3, 0], [0, 5, 0, 99, 52, 322, 304, 262, 328, 73, 80, 7, 4, 0], [0, 5, 0, 100, 42, 366, 192, 444, 132, 213, 16, 24, 2, 0], [0, 5, 0, 100, 43, 358, 220, 388, 202, 157, 44, 16, 3, 0], [0, 5, 0, 100, 44, 350, 248, 332, 272, 101, 72, 8, 4, 0], [0, 5, 0, 100, 45, 342, 276, 276, 342, 45, 100, 0, 5, 0], [0, 5, 0, 101, 34, 394, 136, 514, 76, 241, 8, 25, 2, 0], [0, 5, 0, 101, 35, 386, 164, 458, 146, 185, 36, 17, 3, 0], [0, 5, 0, 101, 36, 378, 192, 402, 216, 129, 64, 9, 4, 0], [0, 5, 0, 101, 37, 370, 220, 346, 286, 73, 92, 1, 5, 0], [0, 5, 0, 102, 26, 422, 80, 584, 20, 269, 0, 26, 2, 0], [0, 5, 0, 102, 27, 414, 108, 528, 90, 213, 28, 18, 3, 0], [0, 5, 0, 102, 28, 406, 136, 472, 160, 157, 56, 10, 4, 0], [0, 5, 0, 102, 29, 398, 164, 416, 230, 101, 84, 2, 5, 0], [0, 5, 0, 102, 32, 375, 240, 276, 384, 3, 112, 6, 0, 1], [0, 5, 0, 103, 19, 442, 52, 598, 34, 241, 20, 19, 3, 0], [0, 5, 0, 103, 20, 434, 80, 542, 104, 185, 48, 11, 4, 0], [0, 5, 0, 103, 21, 426, 108, 486, 174, 129, 76, 3, 5, 0], [0, 5, 0, 103, 24, 403, 184, 346, 328, 31, 104, 7, 0, 1], [0, 5, 0, 104, 12, 462, 24, 612, 48, 213, 40, 12, 4, 0], [0, 5, 0, 104, 13, 454, 52, 556, 118, 157, 68, 4, 5, 0], [0, 5, 0, 104, 16, 431, 128, 416, 272, 59, 96, 8, 0, 1], [0, 5, 0, 104, 17, 423, 156, 360, 342, 3, 124, 0, 1, 1], [0, 5, 0, 105, 8, 459, 72, 486, 216, 87, 88, 9, 0, 1], [0, 5, 0, 105, 9, 451, 100, 430, 286, 31, 116, 1, 1, 1], [0, 5, 0, 106, 0, 487, 16, 556, 160, 115, 80, 10, 0, 1], [0, 5, 0, 106, 1, 479, 44, 500, 230, 59, 108, 2, 1, 1], [0, 5, 1, 85, 124, 130, 598, 10, 412, 121, 17, 33, 0, 0], [0, 5, 1, 86, 116, 158, 542, 80, 356, 149, 9, 34, 0, 0], [0, 5, 1, 86, 117, 150, 570, 24, 426, 93, 37, 26, 1, 0], [0, 5, 1, 87, 108, 186, 486, 150, 300, 177, 1, 35, 0, 0], [0, 5, 1, 87, 109, 178, 514, 94, 370, 121, 29, 27, 1, 0], [0, 5, 1, 87, 110, 170, 542, 38, 440, 65, 57, 19, 2, 0], [0, 5, 1, 88, 101, 206, 458, 164, 314, 149, 21, 28, 1, 0], [0, 5, 1, 88, 102, 198, 486, 108, 384, 93, 49, 20, 2, 0], [0, 5, 1, 88, 103, 190, 514, 52, 454, 37, 77, 12, 3, 0], [0, 5, 1, 89, 93, 234, 402, 234, 258, 177, 13, 29, 1, 0], [0, 5, 1, 89, 94, 226, 430, 178, 328, 121, 41, 21, 2, 0], [0, 5, 1, 89, 95, 218, 458, 122, 398, 65, 69, 13, 3, 0], [0, 5, 1, 89, 96, 210, 486, 66, 468, 9, 97, 5, 4, 0], [0, 5, 1, 90, 85, 262, 346, 304, 202, 205, 5, 30, 1, 0], [0, 5, 1, 90, 86, 254, 374, 248, 272, 149, 33, 22, 2, 0], [0, 5, 1, 90, 87, 246, 402, 192, 342, 93, 61, 14, 3, 0], [0, 5, 1, 90, 88, 238, 430, 136, 412, 37, 89, 6, 4, 0], [0, 5, 1, 91, 78, 282, 318, 318, 216, 177, 25, 23, 2, 0], [0, 5, 1, 91, 79, 274, 346, 262, 286, 121, 53, 15, 3, 0], [0, 5, 1, 91, 80, 266, 374, 206, 356, 65, 81, 7, 4, 0], [0, 5, 1, 92, 70, 310, 262, 388, 160, 205, 17, 24, 2, 0], [0, 5, 1, 92, 71, 302, 290, 332, 230, 149, 45, 16, 3, 0], [0, 5, 1, 92, 72, 294, 318, 276, 300, 93, 73, 8, 4, 0], [0, 5, 1, 92, 73, 286, 346, 220, 370, 37, 101, 0, 5, 0], [0, 5, 1, 93, 62, 338, 206, 458, 104, 233, 9, 25, 2, 0], [0, 5, 1, 93, 63, 330, 234, 402, 174, 177, 37, 17, 3, 0], [0, 5, 1, 93, 64, 322, 262, 346, 244, 121, 65, 9, 4, 0], [0, 5, 1, 93, 65, 314, 290, 290, 314, 65, 93, 1, 5, 0], [0, 5, 1, 94, 54, 366, 150, 528, 48, 261, 1, 26, 2, 0], [0, 5, 1, 94, 55, 358, 178, 472, 118, 205, 29, 18, 3, 0], [0, 5, 1, 94, 56, 350, 206, 416, 188, 149, 57, 10, 4, 0], [0, 5, 1, 94, 57, 342, 234, 360, 258, 93, 85, 2, 5, 0], [0, 5, 1, 95, 47, 386, 122, 542, 62, 233, 21, 19, 3, 0], [0, 5, 1, 95, 48, 378, 150, 486, 132, 177, 49, 11, 4, 0], [0, 5, 1, 95, 49, 370, 178, 430, 202, 121, 77, 3, 5, 0], [0, 5, 1, 95, 52, 347, 254, 290, 356, 23, 105, 7, 0, 1], [0, 5, 1, 96, 39, 414, 66, 612, 6, 261, 13, 20, 3, 0], [0, 5, 1, 96, 40, 406, 94, 556, 76, 205, 41, 12, 4, 0], [0, 5, 1, 96, 41, 398, 122, 500, 146, 149, 69, 4, 5, 0], [0, 5, 1, 96, 44, 375, 198, 360, 300, 51, 97, 8, 0, 1], [0, 5, 1, 97, 32, 434, 38, 626, 20, 233, 33, 13, 4, 0], [0, 5, 1, 97, 33, 426, 66, 570, 90, 177, 61, 5, 5, 0], [0, 5, 1, 97, 36, 403, 142, 430, 244, 79, 89, 9, 0, 1], [0, 5, 1, 97, 37, 395, 170, 374, 314, 23, 117, 1, 1, 1], [0, 5, 1, 98, 25, 454, 10, 640, 34, 205, 53, 6, 5, 0], [0, 5, 1, 98, 28, 431, 86, 500, 188, 107, 81, 10, 0, 1], [0, 5, 1, 98, 29, 423, 114, 444, 258, 51, 109, 2, 1, 1], [0, 5, 1, 99, 20, 459, 30, 570, 132, 135, 73, 11, 0, 1], [0, 5, 1, 99, 21, 451, 58, 514, 202, 79, 101, 3, 1, 1], [0, 5, 1, 100, 13, 479, 2, 584, 146, 107, 93, 4, 1, 1], [0, 5, 2, 78, 144, 102, 612, 24, 384, 141, 10, 34, 0, 0], [0, 5, 2, 79, 136, 130, 556, 94, 328, 169, 2, 35, 0, 0], [0, 5, 2, 79, 137, 122, 584, 38, 398, 113, 30, 27, 1, 0], [0, 5, 2, 80, 129, 150, 528, 108, 342, 141, 22, 28, 1, 0], [0, 5, 2, 80, 130, 142, 556, 52, 412, 85, 50, 20, 2, 0], [0, 5, 2, 81, 121, 178, 472, 178, 286, 169, 14, 29, 1, 0], [0, 5, 2, 81, 122, 170, 500, 122, 356, 113, 42, 21, 2, 0], [0, 5, 2, 81, 123, 162, 528, 66, 426, 57, 70, 13, 3, 0], [0, 5, 2, 81, 124, 154, 556, 10, 496, 1, 98, 5, 4, 0], [0, 5, 2, 82, 113, 206, 416, 248, 230, 197, 6, 30, 1, 0], [0, 5, 2, 82, 114, 198, 444, 192, 300, 141, 34, 22, 2, 0], [0, 5, 2, 82, 115, 190, 472, 136, 370, 85, 62, 14, 3, 0], [0, 5, 2, 82, 116, 182, 500, 80, 440, 29, 90, 6, 4, 0], [0, 5, 2, 83, 106, 226, 388, 262, 244, 169, 26, 23, 2, 0], [0, 5, 2, 83, 107, 218, 416, 206, 314, 113, 54, 15, 3, 0], [0, 5, 2, 83, 108, 210, 444, 150, 384, 57, 82, 7, 4, 0], [0, 5, 2, 84, 98, 254, 332, 332, 188, 197, 18, 24, 2, 0], [0, 5, 2, 84, 99, 246, 360, 276, 258, 141, 46, 16, 3, 0], [0, 5, 2, 84, 100, 238, 388, 220, 328, 85, 74, 8, 4, 0], [0, 5, 2, 84, 101, 230, 416, 164, 398, 29, 102, 0, 5, 0], [0, 5, 2, 85, 90, 282, 276, 402, 132, 225, 10, 25, 2, 0], [0, 5, 2, 85, 91, 274, 304, 346, 202, 169, 38, 17, 3, 0], [0, 5, 2, 85, 92, 266, 332, 290, 272, 113, 66, 9, 4, 0], [0, 5, 2, 85, 93, 258, 360, 234, 342, 57, 94, 1, 5, 0], [0, 5, 2, 86, 82, 310, 220, 472, 76, 253, 2, 26, 2, 0], [0, 5, 2, 86, 83, 302, 248, 416, 146, 197, 30, 18, 3, 0], [0, 5, 2, 86, 84, 294, 276, 360, 216, 141, 58, 10, 4, 0], [0, 5, 2, 86, 85, 286, 304, 304, 286, 85, 86, 2, 5, 0], [0, 5, 2, 87, 75, 330, 192, 486, 90, 225, 22, 19, 3, 0], [0, 5, 2, 87, 76, 322, 220, 430, 160, 169, 50, 11, 4, 0], [0, 5, 2, 87, 77, 314, 248, 374, 230, 113, 78, 3, 5, 0], [0, 5, 2, 87, 80, 291, 324, 234, 384, 15, 106, 7, 0, 1], [0, 5, 2, 88, 67, 358, 136, 556, 34, 253, 14, 20, 3, 0], [0, 5, 2, 88, 68, 350, 164, 500, 104, 197, 42, 12, 4, 0], [0, 5, 2, 88, 69, 342, 192, 444, 174, 141, 70, 4, 5, 0], [0, 5, 2, 88, 72, 319, 268, 304, 328, 43, 98, 8, 0, 1], [0, 5, 2, 89, 60, 378, 108, 570, 48, 225, 34, 13, 4, 0], [0, 5, 2, 89, 61, 370, 136, 514, 118, 169, 62, 5, 5, 0], [0, 5, 2, 89, 64, 347, 212, 374, 272, 71, 90, 9, 0, 1], [0, 5, 2, 89, 65, 339, 240, 318, 342, 15, 118, 1, 1, 1], [0, 5, 2, 90, 53, 398, 80, 584, 62, 197, 54, 6, 5, 0], [0, 5, 2, 90, 56, 375, 156, 444, 216, 99, 82, 10, 0, 1], [0, 5, 2, 90, 57, 367, 184, 388, 286, 43, 110, 2, 1, 1], [0, 5, 2, 91, 45, 426, 24, 654, 6, 225, 46, 7, 5, 0], [0, 5, 2, 91, 48, 403, 100, 514, 160, 127, 74, 11, 0, 1], [0, 5, 2, 91, 49, 395, 128, 458, 230, 71, 102, 3, 1, 1], [0, 5, 2, 92, 40, 431, 44, 584, 104, 155, 66, 12, 0, 1], [0, 5, 2, 92, 41, 423, 72, 528, 174, 99, 94, 4, 1, 1], [0, 5, 2, 93, 33, 451, 16, 598, 118, 127, 86, 5, 1, 1], [0, 5, 3, 71, 164, 74, 626, 38, 356, 161, 3, 35, 0, 0], [0, 5, 3, 72, 157, 94, 598, 52, 370, 133, 23, 28, 1, 0], [0, 5, 3, 73, 149, 122, 542, 122, 314, 161, 15, 29, 1, 0], [0, 5, 3, 73, 150, 114, 570, 66, 384, 105, 43, 21, 2, 0], [0, 5, 3, 73, 151, 106, 598, 10, 454, 49, 71, 13, 3, 0], [0, 5, 3, 74, 141, 150, 486, 192, 258, 189, 7, 30, 1, 0], [0, 5, 3, 74, 142, 142, 514, 136, 328, 133, 35, 22, 2, 0], [0, 5, 3, 74, 143, 134, 542, 80, 398, 77, 63, 14, 3, 0], [0, 5, 3, 74, 144, 126, 570, 24, 468, 21, 91, 6, 4, 0], [0, 5, 3, 75, 134, 170, 458, 206, 272, 161, 27, 23, 2, 0], [0, 5, 3, 75, 135, 162, 486, 150, 342, 105, 55, 15, 3, 0], [0, 5, 3, 75, 136, 154, 514, 94, 412, 49, 83, 7, 4, 0], [0, 5, 3, 76, 126, 198, 402, 276, 216, 189, 19, 24, 2, 0], [0, 5, 3, 76, 127, 190, 430, 220, 286, 133, 47, 16, 3, 0], [0, 5, 3, 76, 128, 182, 458, 164, 356, 77, 75, 8, 4, 0], [0, 5, 3, 76, 129, 174, 486, 108, 426, 21, 103, 0, 5, 0], [0, 5, 3, 77, 118, 226, 346, 346, 160, 217, 11, 25, 2, 0], [0, 5, 3, 77, 119, 218, 374, 290, 230, 161, 39, 17, 3, 0], [0, 5, 3, 77, 120, 210, 402, 234, 300, 105, 67, 9, 4, 0], [0, 5, 3, 77, 121, 202, 430, 178, 370, 49, 95, 1, 5, 0], [0, 5, 3, 78, 110, 254, 290, 416, 104, 245, 3, 26, 2, 0], [0, 5, 3, 78, 111, 246, 318, 360, 174, 189, 31, 18, 3, 0], [0, 5, 3, 78, 112, 238, 346, 304, 244, 133, 59, 10, 4, 0], [0, 5, 3, 78, 113, 230, 374, 248, 314, 77, 87, 2, 5, 0], [0, 5, 3, 79, 103, 274, 262, 430, 118, 217, 23, 19, 3, 0], [0, 5, 3, 79, 104, 266, 290, 374, 188, 161, 51, 11, 4, 0], [0, 5, 3, 79, 105, 258, 318, 318, 258, 105, 79, 3, 5, 0], [0, 5, 3, 79, 108, 235, 394, 178, 412, 7, 107, 7, 0, 1], [0, 5, 3, 80, 95, 302, 206, 500, 62, 245, 15, 20, 3, 0], [0, 5, 3, 80, 96, 294, 234, 444, 132, 189, 43, 12, 4, 0], [0, 5, 3, 80, 97, 286, 262, 388, 202, 133, 71, 4, 5, 0], [0, 5, 3, 80, 100, 263, 338, 248, 356, 35, 99, 8, 0, 1], [0, 5, 3, 81, 87, 330, 150, 570, 6, 273, 7, 21, 3, 0], [0, 5, 3, 81, 88, 322, 178, 514, 76, 217, 35, 13, 4, 0], [0, 5, 3, 81, 89, 314, 206, 458, 146, 161, 63, 5, 5, 0], [0, 5, 3, 81, 92, 291, 282, 318, 300, 63, 91, 9, 0, 1], [0, 5, 3, 81, 93, 283, 310, 262, 370, 7, 119, 1, 1, 1], [0, 5, 3, 82, 80, 350, 122, 584, 20, 245, 27, 14, 4, 0], [0, 5, 3, 82, 81, 342, 150, 528, 90, 189, 55, 6, 5, 0], [0, 5, 3, 82, 84, 319, 226, 388, 244, 91, 83, 10, 0, 1], [0, 5, 3, 82, 85, 311, 254, 332, 314, 35, 111, 2, 1, 1], [0, 5, 3, 83, 73, 370, 94, 598, 34, 217, 47, 7, 5, 0], [0, 5, 3, 83, 76, 347, 170, 458, 188, 119, 75, 11, 0, 1], [0, 5, 3, 83, 77, 339, 198, 402, 258, 63, 103, 3, 1, 1], [0, 5, 3, 84, 66, 390, 66, 612, 48, 189, 67, 0, 6, 0], [0, 5, 3, 84, 68, 375, 114, 528, 132, 147, 67, 12, 0, 1], [0, 5, 3, 84, 69, 367, 142, 472, 202, 91, 95, 4, 1, 1], [0, 5, 3, 85, 60, 403, 58, 598, 76, 175, 59, 13, 0, 1], [0, 5, 3, 85, 61, 395, 86, 542, 146, 119, 87, 5, 1, 1], [0, 5, 3, 86, 52, 431, 2, 668, 20, 203, 51, 14, 0, 1], [0, 5, 3, 86, 53, 423, 30, 612, 90, 147, 79, 6, 1, 1], [0, 5, 4, 65, 177, 66, 612, 66, 342, 153, 16, 29, 1, 0], [0, 5, 4, 65, 178, 58, 640, 10, 412, 97, 44, 21, 2, 0], [0, 5, 4, 66, 169, 94, 556, 136, 286, 181, 8, 30, 1, 0], [0, 5, 4, 66, 170, 86, 584, 80, 356, 125, 36, 22, 2, 0], [0, 5, 4, 66, 171, 78, 612, 24, 426, 69, 64, 14, 3, 0], [0, 5, 4, 67, 161, 122, 500, 206, 230, 209, 0, 31, 1, 0], [0, 5, 4, 67, 162, 114, 528, 150, 300, 153, 28, 23, 2, 0], [0, 5, 4, 67, 163, 106, 556, 94, 370, 97, 56, 15, 3, 0], [0, 5, 4, 67, 164, 98, 584, 38, 440, 41, 84, 7, 4, 0], [0, 5, 4, 68, 154, 142, 472, 220, 244, 181, 20, 24, 2, 0], [0, 5, 4, 68, 155, 134, 500, 164, 314, 125, 48, 16, 3, 0], [0, 5, 4, 68, 156, 126, 528, 108, 384, 69, 76, 8, 4, 0], [0, 5, 4, 68, 157, 118, 556, 52, 454, 13, 104, 0, 5, 0], [0, 5, 4, 69, 146, 170, 416, 290, 188, 209, 12, 25, 2, 0], [0, 5, 4, 69, 147, 162, 444, 234, 258, 153, 40, 17, 3, 0], [0, 5, 4, 69, 148, 154, 472, 178, 328, 97, 68, 9, 4, 0], [0, 5, 4, 69, 149, 146, 500, 122, 398, 41, 96, 1, 5, 0], [0, 5, 4, 70, 138, 198, 360, 360, 132, 237, 4, 26, 2, 0], [0, 5, 4, 70, 139, 190, 388, 304, 202, 181, 32, 18, 3, 0], [0, 5, 4, 70, 140, 182, 416, 248, 272, 125, 60, 10, 4, 0], [0, 5, 4, 70, 141, 174, 444, 192, 342, 69, 88, 2, 5, 0], [0, 5, 4, 71, 131, 218, 332, 374, 146, 209, 24, 19, 3, 0], [0, 5, 4, 71, 132, 210, 360, 318, 216, 153, 52, 11, 4, 0], [0, 5, 4, 71, 133, 202, 388, 262, 286, 97, 80, 3, 5, 0], [0, 5, 4, 72, 123, 246, 276, 444, 90, 237, 16, 20, 3, 0], [0, 5, 4, 72, 124, 238, 304, 388, 160, 181, 44, 12, 4, 0], [0, 5, 4, 72, 125, 230, 332, 332, 230, 125, 72, 4, 5, 0], [0, 5, 4, 72, 128, 207, 408, 192, 384, 27, 100, 8, 0, 1], [0, 5, 4, 73, 115, 274, 220, 514, 34, 265, 8, 21, 3, 0], [0, 5, 4, 73, 116, 266, 248, 458, 104, 209, 36, 13, 4, 0], [0, 5, 4, 73, 117, 258, 276, 402, 174, 153, 64, 5, 5, 0], [0, 5, 4, 73, 120, 235, 352, 262, 328, 55, 92, 9, 0, 1], [0, 5, 4, 74, 108, 294, 192, 528, 48, 237, 28, 14, 4, 0], [0, 5, 4, 74, 109, 286, 220, 472, 118, 181, 56, 6, 5, 0], [0, 5, 4, 74, 112, 263, 296, 332, 272, 83, 84, 10, 0, 1], [0, 5, 4, 74, 113, 255, 324, 276, 342, 27, 112, 2, 1, 1], [0, 5, 4, 75, 101, 314, 164, 542, 62, 209, 48, 7, 5, 0], [0, 5, 4, 75, 104, 291, 240, 402, 216, 111, 76, 11, 0, 1], [0, 5, 4, 75, 105, 283, 268, 346, 286, 55, 104, 3, 1, 1], [0, 5, 4, 76, 93, 342, 108, 612, 6, 237, 40, 8, 5, 0], [0, 5, 4, 76, 94, 334, 136, 556, 76, 181, 68, 0, 6, 0], [0, 5, 4, 76, 96, 319, 184, 472, 160, 139, 68, 12, 0, 1], [0, 5, 4, 76, 97, 311, 212, 416, 230, 83, 96, 4, 1, 1], [0, 5, 4, 77, 86, 362, 80, 626, 20, 209, 60, 1, 6, 0], [0, 5, 4, 77, 88, 347, 128, 542, 104, 167, 60, 13, 0, 1], [0, 5, 4, 77, 89, 339, 156, 486, 174, 111, 88, 5, 1, 1], [0, 5, 4, 78, 80, 375, 72, 612, 48, 195, 52, 14, 0, 1], [0, 5, 4, 78, 81, 367, 100, 556, 118, 139, 80, 6, 1, 1], [0, 5, 4, 79, 73, 395, 44, 626, 62, 167, 72, 7, 1, 1], [0, 5, 4, 80, 66, 415, 16, 640, 76, 139, 92, 0, 2, 1], [0, 5, 5, 57, 205, 10, 682, 10, 370, 145, 17, 29, 1, 0], [0, 5, 5, 58, 197, 38, 626, 80, 314, 173, 9, 30, 1, 0], [0, 5, 5, 58, 198, 30, 654, 24, 384, 117, 37, 22, 2, 0], [0, 5, 5, 59, 189, 66, 570, 150, 258, 201, 1, 31, 1, 0], [0, 5, 5, 59, 190, 58, 598, 94, 328, 145, 29, 23, 2, 0], [0, 5, 5, 59, 191, 50, 626, 38, 398, 89, 57, 15, 3, 0], [0, 5, 5, 60, 182, 86, 542, 164, 272, 173, 21, 24, 2, 0], [0, 5, 5, 60, 183, 78, 570, 108, 342, 117, 49, 16, 3, 0], [0, 5, 5, 60, 184, 70, 598, 52, 412, 61, 77, 8, 4, 0], [0, 5, 5, 61, 174, 114, 486, 234, 216, 201, 13, 25, 2, 0], [0, 5, 5, 61, 175, 106, 514, 178, 286, 145, 41, 17, 3, 0], [0, 5, 5, 61, 176, 98, 542, 122, 356, 89, 69, 9, 4, 0], [0, 5, 5, 61, 177, 90, 570, 66, 426, 33, 97, 1, 5, 0], [0, 5, 5, 62, 166, 142, 430, 304, 160, 229, 5, 26, 2, 0], [0, 5, 5, 62, 167, 134, 458, 248, 230, 173, 33, 18, 3, 0], [0, 5, 5, 62, 168, 126, 486, 192, 300, 117, 61, 10, 4, 0], [0, 5, 5, 62, 169, 118, 514, 136, 370, 61, 89, 2, 5, 0], [0, 5, 5, 63, 159, 162, 402, 318, 174, 201, 25, 19, 3, 0], [0, 5, 5, 63, 160, 154, 430, 262, 244, 145, 53, 11, 4, 0], [0, 5, 5, 63, 161, 146, 458, 206, 314, 89, 81, 3, 5, 0], [0, 5, 5, 64, 151, 190, 346, 388, 118, 229, 17, 20, 3, 0], [0, 5, 5, 64, 152, 182, 374, 332, 188, 173, 45, 12, 4, 0], [0, 5, 5, 64, 153, 174, 402, 276, 258, 117, 73, 4, 5, 0], [0, 5, 5, 64, 156, 151, 478, 136, 412, 19, 101, 8, 0, 1], [0, 5, 5, 65, 143, 218, 290, 458, 62, 257, 9, 21, 3, 0], [0, 5, 5, 65, 144, 210, 318, 402, 132, 201, 37, 13, 4, 0], [0, 5, 5, 65, 145, 202, 346, 346, 202, 145, 65, 5, 5, 0], [0, 5, 5, 65, 148, 179, 422, 206, 356, 47, 93, 9, 0, 1], [0, 5, 5, 66, 135, 246, 234, 528, 6, 285, 1, 22, 3, 0], [0, 5, 5, 66, 136, 238, 262, 472, 76, 229, 29, 14, 4, 0], [0, 5, 5, 66, 137, 230, 290, 416, 146, 173, 57, 6, 5, 0], [0, 5, 5, 66, 140, 207, 366, 276, 300, 75, 85, 10, 0, 1], [0, 5, 5, 66, 141, 199, 394, 220, 370, 19, 113, 2, 1, 1], [0, 5, 5, 67, 128, 266, 206, 542, 20, 257, 21, 15, 4, 0], [0, 5, 5, 67, 129, 258, 234, 486, 90, 201, 49, 7, 5, 0], [0, 5, 5, 67, 132, 235, 310, 346, 244, 103, 77, 11, 0, 1], [0, 5, 5, 67, 133, 227, 338, 290, 314, 47, 105, 3, 1, 1], [0, 5, 5, 68, 121, 286, 178, 556, 34, 229, 41, 8, 5, 0], [0, 5, 5, 68, 122, 278, 206, 500, 104, 173, 69, 0, 6, 0], [0, 5, 5, 68, 124, 263, 254, 416, 188, 131, 69, 12, 0, 1], [0, 5, 5, 68, 125, 255, 282, 360, 258, 75, 97, 4, 1, 1], [0, 5, 5, 69, 114, 306, 150, 570, 48, 201, 61, 1, 6, 0], [0, 5, 5, 69, 116, 291, 198, 486, 132, 159, 61, 13, 0, 1], [0, 5, 5, 69, 117, 283, 226, 430, 202, 103, 89, 5, 1, 1], [0, 5, 5, 70, 108, 319, 142, 556, 76, 187, 53, 14, 0, 1], [0, 5, 5, 70, 109, 311, 170, 500, 146, 131, 81, 6, 1, 1], [0, 5, 5, 71, 100, 347, 86, 626, 20, 215, 45, 15, 0, 1], [0, 5, 5, 71, 101, 339, 114, 570, 90, 159, 73, 7, 1, 1], [0, 5, 5, 72, 93, 367, 58, 640, 34, 187, 65, 8, 1, 1], [0, 5, 5, 72, 94, 359, 86, 584, 104, 131, 93, 0, 2, 1], [0, 5, 5, 73, 86, 387, 30, 654, 48, 159, 85, 1, 2, 1], [0, 5, 6, 51, 217, 10, 640, 94, 286, 193, 2, 31, 1, 0], [0, 5, 6, 51, 218, 2, 668, 38, 356, 137, 30, 23, 2, 0], [0, 5, 6, 52, 210, 30, 612, 108, 300, 165, 22, 24, 2, 0], [0, 5, 6, 52, 211, 22, 640, 52, 370, 109, 50, 16, 3, 0], [0, 5, 6, 53, 202, 58, 556, 178, 244, 193, 14, 25, 2, 0], [0, 5, 6, 53, 203, 50, 584, 122, 314, 137, 42, 17, 3, 0], [0, 5, 6, 53, 204, 42, 612, 66, 384, 81, 70, 9, 4, 0], [0, 5, 6, 53, 205, 34, 640, 10, 454, 25, 98, 1, 5, 0], [0, 5, 6, 54, 194, 86, 500, 248, 188, 221, 6, 26, 2, 0], [0, 5, 6, 54, 195, 78, 528, 192, 258, 165, 34, 18, 3, 0], [0, 5, 6, 54, 196, 70, 556, 136, 328, 109, 62, 10, 4, 0], [0, 5, 6, 54, 197, 62, 584, 80, 398, 53, 90, 2, 5, 0], [0, 5, 6, 55, 187, 106, 472, 262, 202, 193, 26, 19, 3, 0], [0, 5, 6, 55, 188, 98, 500, 206, 272, 137, 54, 11, 4, 0], [0, 5, 6, 55, 189, 90, 528, 150, 342, 81, 82, 3, 5, 0], [0, 5, 6, 56, 179, 134, 416, 332, 146, 221, 18, 20, 3, 0], [0, 5, 6, 56, 180, 126, 444, 276, 216, 165, 46, 12, 4, 0], [0, 5, 6, 56, 181, 118, 472, 220, 286, 109, 74, 4, 5, 0], [0, 5, 6, 56, 184, 95, 548, 80, 440, 11, 102, 8, 0, 1], [0, 5, 6, 57, 171, 162, 360, 402, 90, 249, 10, 21, 3, 0], [0, 5, 6, 57, 172, 154, 388, 346, 160, 193, 38, 13, 4, 0], [0, 5, 6, 57, 173, 146, 416, 290, 230, 137, 66, 5, 5, 0], [0, 5, 6, 57, 176, 123, 492, 150, 384, 39, 94, 9, 0, 1], [0, 5, 6, 58, 163, 190, 304, 472, 34, 277, 2, 22, 3, 0], [0, 5, 6, 58, 164, 182, 332, 416, 104, 221, 30, 14, 4, 0], [0, 5, 6, 58, 165, 174, 360, 360, 174, 165, 58, 6, 5, 0], [0, 5, 6, 58, 168, 151, 436, 220, 328, 67, 86, 10, 0, 1], [0, 5, 6, 58, 169, 143, 464, 164, 398, 11, 114, 2, 1, 1], [0, 5, 6, 59, 156, 210, 276, 486, 48, 249, 22, 15, 4, 0], [0, 5, 6, 59, 157, 202, 304, 430, 118, 193, 50, 7, 5, 0], [0, 5, 6, 59, 160, 179, 380, 290, 272, 95, 78, 11, 0, 1], [0, 5, 6, 59, 161, 171, 408, 234, 342, 39, 106, 3, 1, 1], [0, 5, 6, 60, 149, 230, 248, 500, 62, 221, 42, 8, 5, 0], [0, 5, 6, 60, 150, 222, 276, 444, 132, 165, 70, 0, 6, 0], [0, 5, 6, 60, 152, 207, 324, 360, 216, 123, 70, 12, 0, 1], [0, 5, 6, 60, 153, 199, 352, 304, 286, 67, 98, 4, 1, 1], [0, 5, 6, 61, 141, 258, 192, 570, 6, 249, 34, 9, 5, 0], [0, 5, 6, 61, 142, 250, 220, 514, 76, 193, 62, 1, 6, 0], [0, 5, 6, 61, 144, 235, 268, 430, 160, 151, 62, 13, 0, 1], [0, 5, 6, 61, 145, 227, 296, 374, 230, 95, 90, 5, 1, 1], [0, 5, 6, 62, 134, 278, 164, 584, 20, 221, 54, 2, 6, 0], [0, 5, 6, 62, 136, 263, 212, 500, 104, 179, 54, 14, 0, 1], [0, 5, 6, 62, 137, 255, 240, 444, 174, 123, 82, 6, 1, 1], [0, 5, 6, 63, 128, 291, 156, 570, 48, 207, 46, 15, 0, 1], [0, 5, 6, 63, 129, 283, 184, 514, 118, 151, 74, 7, 1, 1], [0, 5, 6, 64, 121, 311, 128, 584, 62, 179, 66, 8, 1, 1], [0, 5, 6, 64, 122, 303, 156, 528, 132, 123, 94, 0, 2, 1], [0, 5, 6, 65, 113, 339, 72, 654, 6, 207, 58, 9, 1, 1], [0, 5, 6, 65, 114, 331, 100, 598, 76, 151, 86, 1, 2, 1], [0, 5, 6, 66, 106, 359, 44, 668, 20, 179, 78, 2, 2, 1], [0, 5, 7, 45, 230, 2, 626, 122, 272, 185, 15, 25, 2, 0], [0, 5, 7, 46, 222, 30, 570, 192, 216, 213, 7, 26, 2, 0], [0, 5, 7, 46, 223, 22, 598, 136, 286, 157, 35, 18, 3, 0], [0, 5, 7, 46, 224, 14, 626, 80, 356, 101, 63, 10, 4, 0], [0, 5, 7, 46, 225, 6, 654, 24, 426, 45, 91, 2, 5, 0], [0, 5, 7, 47, 215, 50, 542, 206, 230, 185, 27, 19, 3, 0], [0, 5, 7, 47, 216, 42, 570, 150, 300, 129, 55, 11, 4, 0], [0, 5, 7, 47, 217, 34, 598, 94, 370, 73, 83, 3, 5, 0], [0, 5, 7, 48, 207, 78, 486, 276, 174, 213, 19, 20, 3, 0], [0, 5, 7, 48, 208, 70, 514, 220, 244, 157, 47, 12, 4, 0], [0, 5, 7, 48, 209, 62, 542, 164, 314, 101, 75, 4, 5, 0], [0, 5, 7, 48, 212, 39, 618, 24, 468, 3, 103, 8, 0, 1], [0, 5, 7, 49, 199, 106, 430, 346, 118, 241, 11, 21, 3, 0], [0, 5, 7, 49, 200, 98, 458, 290, 188, 185, 39, 13, 4, 0], [0, 5, 7, 49, 201, 90, 486, 234, 258, 129, 67, 5, 5, 0], [0, 5, 7, 49, 204, 67, 562, 94, 412, 31, 95, 9, 0, 1], [0, 5, 7, 50, 191, 134, 374, 416, 62, 269, 3, 22, 3, 0], [0, 5, 7, 50, 192, 126, 402, 360, 132, 213, 31, 14, 4, 0], [0, 5, 7, 50, 193, 118, 430, 304, 202, 157, 59, 6, 5, 0], [0, 5, 7, 50, 196, 95, 506, 164, 356, 59, 87, 10, 0, 1], [0, 5, 7, 50, 197, 87, 534, 108, 426, 3, 115, 2, 1, 1], [0, 5, 7, 51, 184, 154, 346, 430, 76, 241, 23, 15, 4, 0], [0, 5, 7, 51, 185, 146, 374, 374, 146, 185, 51, 7, 5, 0], [0, 5, 7, 51, 188, 123, 450, 234, 300, 87, 79, 11, 0, 1], [0, 5, 7, 51, 189, 115, 478, 178, 370, 31, 107, 3, 1, 1], [0, 5, 7, 52, 176, 182, 290, 500, 20, 269, 15, 16, 4, 0], [0, 5, 7, 52, 177, 174, 318, 444, 90, 213, 43, 8, 5, 0], [0, 5, 7, 52, 178, 166, 346, 388, 160, 157, 71, 0, 6, 0], [0, 5, 7, 52, 180, 151, 394, 304, 244, 115, 71, 12, 0, 1], [0, 5, 7, 52, 181, 143, 422, 248, 314, 59, 99, 4, 1, 1], [0, 5, 7, 53, 169, 202, 262, 514, 34, 241, 35, 9, 5, 0], [0, 5, 7, 53, 170, 194, 290, 458, 104, 185, 63, 1, 6, 0], [0, 5, 7, 53, 172, 179, 338, 374, 188, 143, 63, 13, 0, 1], [0, 5, 7, 53, 173, 171, 366, 318, 258, 87, 91, 5, 1, 1], [0, 5, 7, 54, 162, 222, 234, 528, 48, 213, 55, 2, 6, 0], [0, 5, 7, 54, 164, 207, 282, 444, 132, 171, 55, 14, 0, 1], [0, 5, 7, 54, 165, 199, 310, 388, 202, 115, 83, 6, 1, 1], [0, 5, 7, 55, 156, 235, 226, 514, 76, 199, 47, 15, 0, 1], [0, 5, 7, 55, 157, 227, 254, 458, 146, 143, 75, 7, 1, 1], [0, 5, 7, 56, 148, 263, 170, 584, 20, 227, 39, 16, 0, 1], [0, 5, 7, 56, 149, 255, 198, 528, 90, 171, 67, 8, 1, 1], [0, 5, 7, 56, 150, 247, 226, 472, 160, 115, 95, 0, 2, 1], [0, 5, 7, 57, 141, 283, 142, 598, 34, 199, 59, 9, 1, 1], [0, 5, 7, 57, 142, 275, 170, 542, 104, 143, 87, 1, 2, 1], [0, 5, 7, 58, 134, 303, 114, 612, 48, 171, 79, 2, 2, 1], [0, 5, 8, 39, 242, 2, 584, 206, 188, 233, 0, 27, 2, 0], [0, 5, 8, 40, 235, 22, 556, 220, 202, 205, 20, 20, 3, 0], [0, 5, 8, 40, 236, 14, 584, 164, 272, 149, 48, 12, 4, 0], [0, 5, 8, 40, 237, 6, 612, 108, 342, 93, 76, 4, 5, 0], [0, 5, 8, 41, 227, 50, 500, 290, 146, 233, 12, 21, 3, 0], [0, 5, 8, 41, 228, 42, 528, 234, 216, 177, 40, 13, 4, 0], [0, 5, 8, 41, 229, 34, 556, 178, 286, 121, 68, 5, 5, 0], [0, 5, 8, 41, 232, 11, 632, 38, 440, 23, 96, 9, 0, 1], [0, 5, 8, 42, 219, 78, 444, 360, 90, 261, 4, 22, 3, 0], [0, 5, 8, 42, 220, 70, 472, 304, 160, 205, 32, 14, 4, 0], [0, 5, 8, 42, 221, 62, 500, 248, 230, 149, 60, 6, 5, 0], [0, 5, 8, 42, 224, 39, 576, 108, 384, 51, 88, 10, 0, 1], [0, 5, 8, 43, 212, 98, 416, 374, 104, 233, 24, 15, 4, 0], [0, 5, 8, 43, 213, 90, 444, 318, 174, 177, 52, 7, 5, 0], [0, 5, 8, 43, 216, 67, 520, 178, 328, 79, 80, 11, 0, 1], [0, 5, 8, 43, 217, 59, 548, 122, 398, 23, 108, 3, 1, 1], [0, 5, 8, 44, 204, 126, 360, 444, 48, 261, 16, 16, 4, 0], [0, 5, 8, 44, 205, 118, 388, 388, 118, 205, 44, 8, 5, 0], [0, 5, 8, 44, 206, 110, 416, 332, 188, 149, 72, 0, 6, 0], [0, 5, 8, 44, 208, 95, 464, 248, 272, 107, 72, 12, 0, 1], [0, 5, 8, 44, 209, 87, 492, 192, 342, 51, 100, 4, 1, 1], [0, 5, 8, 45, 197, 146, 332, 458, 62, 233, 36, 9, 5, 0], [0, 5, 8, 45, 198, 138, 360, 402, 132, 177, 64, 1, 6, 0], [0, 5, 8, 45, 200, 123, 408, 318, 216, 135, 64, 13, 0, 1], [0, 5, 8, 45, 201, 115, 436, 262, 286, 79, 92, 5, 1, 1], [0, 5, 8, 46, 189, 174, 276, 528, 6, 261, 28, 10, 5, 0], [0, 5, 8, 46, 190, 166, 304, 472, 76, 205, 56, 2, 6, 0], [0, 5, 8, 46, 192, 151, 352, 388, 160, 163, 56, 14, 0, 1], [0, 5, 8, 46, 193, 143, 380, 332, 230, 107, 84, 6, 1, 1], [0, 5, 8, 47, 182, 194, 248, 542, 20, 233, 48, 3, 6, 0], [0, 5, 8, 47, 184, 179, 296, 458, 104, 191, 48, 15, 0, 1], [0, 5, 8, 47, 185, 171, 324, 402, 174, 135, 76, 7, 1, 1], [0, 5, 8, 48, 176, 207, 240, 528, 48, 219, 40, 16, 0, 1], [0, 5, 8, 48, 177, 199, 268, 472, 118, 163, 68, 8, 1, 1], [0, 5, 8, 48, 178, 191, 296, 416, 188, 107, 96, 0, 2, 1], [0, 5, 8, 49, 169, 227, 212, 542, 62, 191, 60, 9, 1, 1], [0, 5, 8, 49, 170, 219, 240, 486, 132, 135, 88, 1, 2, 1], [0, 5, 8, 50, 161, 255, 156, 612, 6, 219, 52, 10, 1, 1], [0, 5, 8, 50, 162, 247, 184, 556, 76, 163, 80, 2, 2, 1], [0, 5, 8, 51, 154, 275, 128, 626, 20, 191, 72, 3, 2, 1], [0, 5, 9, 34, 247, 22, 514, 304, 118, 253, 5, 22, 3, 0], [0, 5, 9, 34, 248, 14, 542, 248, 188, 197, 33, 14, 4, 0], [0, 5, 9, 34, 249, 6, 570, 192, 258, 141, 61, 6, 5, 0], [0, 5, 9, 35, 240, 42, 486, 318, 132, 225, 25, 15, 4, 0], [0, 5, 9, 35, 241, 34, 514, 262, 202, 169, 53, 7, 5, 0], [0, 5, 9, 35, 244, 11, 590, 122, 356, 71, 81, 11, 0, 1], [0, 5, 9, 35, 245, 3, 618, 66, 426, 15, 109, 3, 1, 1], [0, 5, 9, 36, 232, 70, 430, 388, 76, 253, 17, 16, 4, 0], [0, 5, 9, 36, 233, 62, 458, 332, 146, 197, 45, 8, 5, 0], [0, 5, 9, 36, 234, 54, 486, 276, 216, 141, 73, 0, 6, 0], [0, 5, 9, 36, 236, 39, 534, 192, 300, 99, 73, 12, 0, 1], [0, 5, 9, 36, 237, 31, 562, 136, 370, 43, 101, 4, 1, 1], [0, 5, 9, 37, 224, 98, 374, 458, 20, 281, 9, 17, 4, 0], [0, 5, 9, 37, 225, 90, 402, 402, 90, 225, 37, 9, 5, 0], [0, 5, 9, 37, 226, 82, 430, 346, 160, 169, 65, 1, 6, 0], [0, 5, 9, 37, 228, 67, 478, 262, 244, 127, 65, 13, 0, 1], [0, 5, 9, 37, 229, 59, 506, 206, 314, 71, 93, 5, 1, 1], [0, 5, 9, 38, 217, 118, 346, 472, 34, 253, 29, 10, 5, 0], [0, 5, 9, 38, 218, 110, 374, 416, 104, 197, 57, 2, 6, 0], [0, 5, 9, 38, 220, 95, 422, 332, 188, 155, 57, 14, 0, 1], [0, 5, 9, 38, 221, 87, 450, 276, 258, 99, 85, 6, 1, 1], [0, 5, 9, 39, 210, 138, 318, 486, 48, 225, 49, 3, 6, 0], [0, 5, 9, 39, 212, 123, 366, 402, 132, 183, 49, 15, 0, 1], [0, 5, 9, 39, 213, 115, 394, 346, 202, 127, 77, 7, 1, 1], [0, 5, 9, 40, 204, 151, 310, 472, 76, 211, 41, 16, 0, 1], [0, 5, 9, 40, 205, 143, 338, 416, 146, 155, 69, 8, 1, 1], [0, 5, 9, 40, 206, 135, 366, 360, 216, 99, 97, 0, 2, 1], [0, 5, 9, 41, 196, 179, 254, 542, 20, 239, 33, 17, 0, 1], [0, 5, 9, 41, 197, 171, 282, 486, 90, 183, 61, 9, 1, 1], [0, 5, 9, 41, 198, 163, 310, 430, 160, 127, 89, 1, 2, 1], [0, 5, 9, 42, 189, 199, 226, 556, 34, 211, 53, 10, 1, 1], [0, 5, 9, 42, 190, 191, 254, 500, 104, 155, 81, 2, 2, 1], [0, 5, 9, 43, 182, 219, 198, 570, 48, 183, 73, 3, 2, 1], [0, 5, 10, 28, 260, 14, 500, 332, 104, 245, 18, 16, 4, 0], [0, 5, 10, 28, 261, 6, 528, 276, 174, 189, 46, 8, 5, 0], [0, 5, 10, 29, 252, 42, 444, 402, 48, 273, 10, 17, 4, 0], [0, 5, 10, 29, 253, 34, 472, 346, 118, 217, 38, 9, 5, 0], [0, 5, 10, 29, 254, 26, 500, 290, 188, 161, 66, 1, 6, 0], [0, 5, 10, 29, 256, 11, 548, 206, 272, 119, 66, 13, 0, 1], [0, 5, 10, 29, 257, 3, 576, 150, 342, 63, 94, 5, 1, 1], [0, 5, 10, 30, 245, 62, 416, 416, 62, 245, 30, 10, 5, 0], [0, 5, 10, 30, 246, 54, 444, 360, 132, 189, 58, 2, 6, 0], [0, 5, 10, 30, 248, 39, 492, 276, 216, 147, 58, 14, 0, 1], [0, 5, 10, 30, 249, 31, 520, 220, 286, 91, 86, 6, 1, 1], [0, 5, 10, 31, 237, 90, 360, 486, 6, 273, 22, 11, 5, 0], [0, 5, 10, 31, 238, 82, 388, 430, 76, 217, 50, 3, 6, 0], [0, 5, 10, 31, 240, 67, 436, 346, 160, 175, 50, 15, 0, 1], [0, 5, 10, 31, 241, 59, 464, 290, 230, 119, 78, 7, 1, 1], [0, 5, 10, 32, 230, 110, 332, 500, 20, 245, 42, 4, 6, 0], [0, 5, 10, 32, 232, 95, 380, 416, 104, 203, 42, 16, 0, 1], [0, 5, 10, 32, 233, 87, 408, 360, 174, 147, 70, 8, 1, 1], [0, 5, 10, 32, 234, 79, 436, 304, 244, 91, 98, 0, 2, 1], [0, 5, 10, 33, 224, 123, 324, 486, 48, 231, 34, 17, 0, 1], [0, 5, 10, 33, 225, 115, 352, 430, 118, 175, 62, 9, 1, 1], [0, 5, 10, 33, 226, 107, 380, 374, 188, 119, 90, 1, 2, 1], [0, 5, 10, 34, 217, 143, 296, 500, 62, 203, 54, 10, 1, 1], [0, 5, 10, 34, 218, 135, 324, 444, 132, 147, 82, 2, 2, 1], [0, 5, 10, 35, 209, 171, 240, 570, 6, 231, 46, 11, 1, 1], [0, 5, 10, 35, 210, 163, 268, 514, 76, 175, 74, 3, 2, 1], [0, 5, 10, 36, 202, 191, 212, 584, 20, 203, 66, 4, 2, 1], [0, 5, 11, 22, 272, 14, 458, 416, 20, 293, 3, 18, 4, 0], [0, 5, 11, 22, 273, 6, 486, 360, 90, 237, 31, 10, 5, 0], [0, 5, 11, 23, 265, 34, 430, 430, 34, 265, 23, 11, 5, 0], [0, 5, 11, 23, 266, 26, 458, 374, 104, 209, 51, 3, 6, 0], [0, 5, 11, 23, 268, 11, 506, 290, 188, 167, 51, 15, 0, 1], [0, 5, 11, 23, 269, 3, 534, 234, 258, 111, 79, 7, 1, 1], [0, 5, 11, 24, 258, 54, 402, 444, 48, 237, 43, 4, 6, 0], [0, 5, 11, 24, 260, 39, 450, 360, 132, 195, 43, 16, 0, 1], [0, 5, 11, 24, 261, 31, 478, 304, 202, 139, 71, 8, 1, 1], [0, 5, 11, 24, 262, 23, 506, 248, 272, 83, 99, 0, 2, 1], [0, 5, 11, 25, 252, 67, 394, 430, 76, 223, 35, 17, 0, 1], [0, 5, 11, 25, 253, 59, 422, 374, 146, 167, 63, 9, 1, 1], [0, 5, 11, 25, 254, 51, 450, 318, 216, 111, 91, 1, 2, 1], [0, 5, 11, 26, 244, 95, 338, 500, 20, 251, 27, 18, 0, 1], [0, 5, 11, 26, 245, 87, 366, 444, 90, 195, 55, 10, 1, 1], [0, 5, 11, 26, 246, 79, 394, 388, 160, 139, 83, 2, 2, 1], [0, 5, 11, 27, 237, 115, 310, 514, 34, 223, 47, 11, 1, 1], [0, 5, 11, 27, 238, 107, 338, 458, 104, 167, 75, 3, 2, 1], [0, 5, 11, 28, 230, 135, 282, 528, 48, 195, 67, 4, 2, 1], [0, 5, 12, 16, 285, 6, 444, 444, 6, 285, 16, 12, 5, 0], [0, 5, 12, 17, 278, 26, 416, 458, 20, 257, 36, 5, 6, 0], [0, 5, 12, 17, 280, 11, 464, 374, 104, 215, 36, 17, 0, 1], [0, 5, 12, 17, 281, 3, 492, 318, 174, 159, 64, 9, 1, 1], [0, 5, 12, 18, 272, 39, 408, 444, 48, 243, 28, 18, 0, 1], [0, 5, 12, 18, 273, 31, 436, 388, 118, 187, 56, 10, 1, 1], [0, 5, 12, 18, 274, 23, 464, 332, 188, 131, 84, 2, 2, 1], [0, 5, 12, 19, 265, 59, 380, 458, 62, 215, 48, 11, 1, 1], [0, 5, 12, 19, 266, 51, 408, 402, 132, 159, 76, 3, 2, 1], [0, 5, 12, 20, 257, 87, 324, 528, 6, 243, 40, 12, 1, 1], [0, 5, 12, 20, 258, 79, 352, 472, 76, 187, 68, 4, 2, 1], [0, 5, 12, 21, 250, 107, 296, 542, 20, 215, 60, 5, 2, 1], [0, 5, 13, 11, 292, 11, 422, 458, 20, 263, 21, 19, 0, 1], [0, 5, 13, 11, 293, 3, 450, 402, 90, 207, 49, 11, 1, 1], [0, 5, 13, 12, 285, 31, 394, 472, 34, 235, 41, 12, 1, 1], [0, 5, 13, 12, 286, 23, 422, 416, 104, 179, 69, 4, 2, 1], [0, 5, 13, 13, 278, 51, 366, 486, 48, 207, 61, 5, 2, 1], [0, 5, 14, 5, 305, 3, 408, 486, 6, 255, 34, 13, 1, 1], [0, 5, 14, 6, 298, 23, 380, 500, 20, 227, 54, 6, 2, 1], [0, 5, 15, 0, 311, 15, 366, 528, 6, 219, 67, 0, 3, 1], [0, 6, 0, 65, 202, 16, 640, 94, 292, 178, 16, 25, 2, 0], [0, 6, 0, 65, 203, 8, 668, 38, 362, 122, 44, 17, 3, 0], [0, 6, 0, 66, 194, 44, 584, 164, 236, 206, 8, 26, 2, 0], [0, 6, 0, 66, 195, 36, 612, 108, 306, 150, 36, 18, 3, 0], [0, 6, 0, 66, 196, 28, 640, 52, 376, 94, 64, 10, 4, 0], [0, 6, 0, 67, 186, 72, 528, 234, 180, 234, 0, 27, 2, 0], [0, 6, 0, 67, 187, 64, 556, 178, 250, 178, 28, 19, 3, 0], [0, 6, 0, 67, 188, 56, 584, 122, 320, 122, 56, 11, 4, 0], [0, 6, 0, 67, 189, 48, 612, 66, 390, 66, 84, 3, 5, 0], [0, 6, 0, 68, 179, 92, 500, 248, 194, 206, 20, 20, 3, 0], [0, 6, 0, 68, 180, 84, 528, 192, 264, 150, 48, 12, 4, 0], [0, 6, 0, 68, 181, 76, 556, 136, 334, 94, 76, 4, 5, 0], [0, 6, 0, 69, 171, 120, 444, 318, 138, 234, 12, 21, 3, 0], [0, 6, 0, 69, 172, 112, 472, 262, 208, 178, 40, 13, 4, 0], [0, 6, 0, 69, 173, 104, 500, 206, 278, 122, 68, 5, 5, 0], [0, 6, 0, 69, 176, 81, 576, 66, 432, 24, 96, 9, 0, 1], [0, 6, 0, 70, 163, 148, 388, 388, 82, 262, 4, 22, 3, 0], [0, 6, 0, 70, 164, 140, 416, 332, 152, 206, 32, 14, 4, 0], [0, 6, 0, 70, 165, 132, 444, 276, 222, 150, 60, 6, 5, 0], [0, 6, 0, 70, 168, 109, 520, 136, 376, 52, 88, 10, 0, 1], [0, 6, 0, 71, 156, 168, 360, 402, 96, 234, 24, 15, 4, 0], [0, 6, 0, 71, 157, 160, 388, 346, 166, 178, 52, 7, 5, 0], [0, 6, 0, 71, 160, 137, 464, 206, 320, 80, 80, 11, 0, 1], [0, 6, 0, 71, 161, 129, 492, 150, 390, 24, 108, 3, 1, 1], [0, 6, 0, 72, 148, 196, 304, 472, 40, 262, 16, 16, 4, 0], [0, 6, 0, 72, 149, 188, 332, 416, 110, 206, 44, 8, 5, 0], [0, 6, 0, 72, 150, 180, 360, 360, 180, 150, 72, 0, 6, 0], [0, 6, 0, 72, 152, 165, 408, 276, 264, 108, 72, 12, 0, 1], [0, 6, 0, 72, 153, 157, 436, 220, 334, 52, 100, 4, 1, 1], [0, 6, 0, 73, 141, 216, 276, 486, 54, 234, 36, 9, 5, 0], [0, 6, 0, 73, 142, 208, 304, 430, 124, 178, 64, 1, 6, 0], [0, 6, 0, 73, 144, 193, 352, 346, 208, 136, 64, 13, 0, 1], [0, 6, 0, 73, 145, 185, 380, 290, 278, 80, 92, 5, 1, 1], [0, 6, 0, 74, 134, 236, 248, 500, 68, 206, 56, 2, 6, 0], [0, 6, 0, 74, 136, 221, 296, 416, 152, 164, 56, 14, 0, 1], [0, 6, 0, 74, 137, 213, 324, 360, 222, 108, 84, 6, 1, 1], [0, 6, 0, 75, 126, 264, 192, 570, 12, 234, 48, 3, 6, 0], [0, 6, 0, 75, 128, 249, 240, 486, 96, 192, 48, 15, 0, 1], [0, 6, 0, 75, 129, 241, 268, 430, 166, 136, 76, 7, 1, 1], [0, 6, 0, 76, 120, 277, 184, 556, 40, 220, 40, 16, 0, 1], [0, 6, 0, 76, 121, 269, 212, 500, 110, 164, 68, 8, 1, 1], [0, 6, 0, 76, 122, 261, 240, 444, 180, 108, 96, 0, 2, 1], [0, 6, 0, 77, 113, 297, 156, 570, 54, 192, 60, 9, 1, 1], [0, 6, 0, 77, 114, 289, 184, 514, 124, 136, 88, 1, 2, 1], [0, 6, 0, 78, 106, 317, 128, 584, 68, 164, 80, 2, 2, 1], [0, 6, 0, 79, 98, 345, 72, 654, 12, 192, 72, 3, 2, 1], [0, 6, 1, 59, 214, 16, 598, 178, 208, 226, 1, 27, 2, 0], [0, 6, 1, 59, 215, 8, 626, 122, 278, 170, 29, 19, 3, 0], [0, 6, 1, 59, 216, 0, 654, 66, 348, 114, 57, 11, 4, 0], [0, 6, 1, 60, 207, 36, 570, 192, 222, 198, 21, 20, 3, 0], [0, 6, 1, 60, 208, 28, 598, 136, 292, 142, 49, 12, 4, 0], [0, 6, 1, 60, 209, 20, 626, 80, 362, 86, 77, 4, 5, 0], [0, 6, 1, 61, 199, 64, 514, 262, 166, 226, 13, 21, 3, 0], [0, 6, 1, 61, 200, 56, 542, 206, 236, 170, 41, 13, 4, 0], [0, 6, 1, 61, 201, 48, 570, 150, 306, 114, 69, 5, 5, 0], [0, 6, 1, 61, 204, 25, 646, 10, 460, 16, 97, 9, 0, 1], [0, 6, 1, 62, 191, 92, 458, 332, 110, 254, 5, 22, 3, 0], [0, 6, 1, 62, 192, 84, 486, 276, 180, 198, 33, 14, 4, 0], [0, 6, 1, 62, 193, 76, 514, 220, 250, 142, 61, 6, 5, 0], [0, 6, 1, 62, 196, 53, 590, 80, 404, 44, 89, 10, 0, 1], [0, 6, 1, 63, 184, 112, 430, 346, 124, 226, 25, 15, 4, 0], [0, 6, 1, 63, 185, 104, 458, 290, 194, 170, 53, 7, 5, 0], [0, 6, 1, 63, 188, 81, 534, 150, 348, 72, 81, 11, 0, 1], [0, 6, 1, 63, 189, 73, 562, 94, 418, 16, 109, 3, 1, 1], [0, 6, 1, 64, 176, 140, 374, 416, 68, 254, 17, 16, 4, 0], [0, 6, 1, 64, 177, 132, 402, 360, 138, 198, 45, 8, 5, 0], [0, 6, 1, 64, 178, 124, 430, 304, 208, 142, 73, 0, 6, 0], [0, 6, 1, 64, 180, 109, 478, 220, 292, 100, 73, 12, 0, 1], [0, 6, 1, 64, 181, 101, 506, 164, 362, 44, 101, 4, 1, 1], [0, 6, 1, 65, 168, 168, 318, 486, 12, 282, 9, 17, 4, 0], [0, 6, 1, 65, 169, 160, 346, 430, 82, 226, 37, 9, 5, 0], [0, 6, 1, 65, 170, 152, 374, 374, 152, 170, 65, 1, 6, 0], [0, 6, 1, 65, 172, 137, 422, 290, 236, 128, 65, 13, 0, 1], [0, 6, 1, 65, 173, 129, 450, 234, 306, 72, 93, 5, 1, 1], [0, 6, 1, 66, 161, 188, 290, 500, 26, 254, 29, 10, 5, 0], [0, 6, 1, 66, 162, 180, 318, 444, 96, 198, 57, 2, 6, 0], [0, 6, 1, 66, 164, 165, 366, 360, 180, 156, 57, 14, 0, 1], [0, 6, 1, 66, 165, 157, 394, 304, 250, 100, 85, 6, 1, 1], [0, 6, 1, 67, 154, 208, 262, 514, 40, 226, 49, 3, 6, 0], [0, 6, 1, 67, 156, 193, 310, 430, 124, 184, 49, 15, 0, 1], [0, 6, 1, 67, 157, 185, 338, 374, 194, 128, 77, 7, 1, 1], [0, 6, 1, 68, 148, 221, 254, 500, 68, 212, 41, 16, 0, 1], [0, 6, 1, 68, 149, 213, 282, 444, 138, 156, 69, 8, 1, 1], [0, 6, 1, 68, 150, 205, 310, 388, 208, 100, 97, 0, 2, 1], [0, 6, 1, 69, 140, 249, 198, 570, 12, 240, 33, 17, 0, 1], [0, 6, 1, 69, 141, 241, 226, 514, 82, 184, 61, 9, 1, 1], [0, 6, 1, 69, 142, 233, 254, 458, 152, 128, 89, 1, 2, 1], [0, 6, 1, 70, 133, 269, 170, 584, 26, 212, 53, 10, 1, 1], [0, 6, 1, 70, 134, 261, 198, 528, 96, 156, 81, 2, 2, 1], [0, 6, 1, 71, 126, 289, 142, 598, 40, 184, 73, 3, 2, 1], [0, 6, 2, 53, 227, 8, 584, 206, 194, 218, 14, 21, 3, 0], [0, 6, 2, 53, 228, 0, 612, 150, 264, 162, 42, 13, 4, 0], [0, 6, 2, 54, 219, 36, 528, 276, 138, 246, 6, 22, 3, 0], [0, 6, 2, 54, 220, 28, 556, 220, 208, 190, 34, 14, 4, 0], [0, 6, 2, 54, 221, 20, 584, 164, 278, 134, 62, 6, 5, 0], [0, 6, 2, 55, 212, 56, 500, 290, 152, 218, 26, 15, 4, 0], [0, 6, 2, 55, 213, 48, 528, 234, 222, 162, 54, 7, 5, 0], [0, 6, 2, 55, 216, 25, 604, 94, 376, 64, 82, 11, 0, 1], [0, 6, 2, 55, 217, 17, 632, 38, 446, 8, 110, 3, 1, 1], [0, 6, 2, 56, 204, 84, 444, 360, 96, 246, 18, 16, 4, 0], [0, 6, 2, 56, 205, 76, 472, 304, 166, 190, 46, 8, 5, 0], [0, 6, 2, 56, 206, 68, 500, 248, 236, 134, 74, 0, 6, 0], [0, 6, 2, 56, 208, 53, 548, 164, 320, 92, 74, 12, 0, 1], [0, 6, 2, 56, 209, 45, 576, 108, 390, 36, 102, 4, 1, 1], [0, 6, 2, 57, 196, 112, 388, 430, 40, 274, 10, 17, 4, 0], [0, 6, 2, 57, 197, 104, 416, 374, 110, 218, 38, 9, 5, 0], [0, 6, 2, 57, 198, 96, 444, 318, 180, 162, 66, 1, 6, 0], [0, 6, 2, 57, 200, 81, 492, 234, 264, 120, 66, 13, 0, 1], [0, 6, 2, 57, 201, 73, 520, 178, 334, 64, 94, 5, 1, 1], [0, 6, 2, 58, 189, 132, 360, 444, 54, 246, 30, 10, 5, 0], [0, 6, 2, 58, 190, 124, 388, 388, 124, 190, 58, 2, 6, 0], [0, 6, 2, 58, 192, 109, 436, 304, 208, 148, 58, 14, 0, 1], [0, 6, 2, 58, 193, 101, 464, 248, 278, 92, 86, 6, 1, 1], [0, 6, 2, 59, 182, 152, 332, 458, 68, 218, 50, 3, 6, 0], [0, 6, 2, 59, 184, 137, 380, 374, 152, 176, 50, 15, 0, 1], [0, 6, 2, 59, 185, 129, 408, 318, 222, 120, 78, 7, 1, 1], [0, 6, 2, 60, 174, 180, 276, 528, 12, 246, 42, 4, 6, 0], [0, 6, 2, 60, 176, 165, 324, 444, 96, 204, 42, 16, 0, 1], [0, 6, 2, 60, 177, 157, 352, 388, 166, 148, 70, 8, 1, 1], [0, 6, 2, 60, 178, 149, 380, 332, 236, 92, 98, 0, 2, 1], [0, 6, 2, 61, 168, 193, 268, 514, 40, 232, 34, 17, 0, 1], [0, 6, 2, 61, 169, 185, 296, 458, 110, 176, 62, 9, 1, 1], [0, 6, 2, 61, 170, 177, 324, 402, 180, 120, 90, 1, 2, 1], [0, 6, 2, 62, 161, 213, 240, 528, 54, 204, 54, 10, 1, 1], [0, 6, 2, 62, 162, 205, 268, 472, 124, 148, 82, 2, 2, 1], [0, 6, 2, 63, 154, 233, 212, 542, 68, 176, 74, 3, 2, 1], [0, 6, 2, 64, 146, 261, 156, 612, 12, 204, 66, 4, 2, 1], [0, 6, 3, 47, 240, 0, 570, 234, 180, 210, 27, 15, 4, 0], [0, 6, 3, 48, 232, 28, 514, 304, 124, 238, 19, 16, 4, 0], [0, 6, 3, 48, 233, 20, 542, 248, 194, 182, 47, 8, 5, 0], [0, 6, 3, 48, 234, 12, 570, 192, 264, 126, 75, 0, 6, 0], [0, 6, 3, 49, 224, 56, 458, 374, 68, 266, 11, 17, 4, 0], [0, 6, 3, 49, 225, 48, 486, 318, 138, 210, 39, 9, 5, 0], [0, 6, 3, 49, 226, 40, 514, 262, 208, 154, 67, 1, 6, 0], [0, 6, 3, 49, 228, 25, 562, 178, 292, 112, 67, 13, 0, 1], [0, 6, 3, 49, 229, 17, 590, 122, 362, 56, 95, 5, 1, 1], [0, 6, 3, 50, 216, 84, 402, 444, 12, 294, 3, 18, 4, 0], [0, 6, 3, 50, 217, 76, 430, 388, 82, 238, 31, 10, 5, 0], [0, 6, 3, 50, 218, 68, 458, 332, 152, 182, 59, 2, 6, 0], [0, 6, 3, 50, 220, 53, 506, 248, 236, 140, 59, 14, 0, 1], [0, 6, 3, 50, 221, 45, 534, 192, 306, 84, 87, 6, 1, 1], [0, 6, 3, 51, 209, 104, 374, 458, 26, 266, 23, 11, 5, 0], [0, 6, 3, 51, 210, 96, 402, 402, 96, 210, 51, 3, 6, 0], [0, 6, 3, 51, 212, 81, 450, 318, 180, 168, 51, 15, 0, 1], [0, 6, 3, 51, 213, 73, 478, 262, 250, 112, 79, 7, 1, 1], [0, 6, 3, 52, 202, 124, 346, 472, 40, 238, 43, 4, 6, 0], [0, 6, 3, 52, 204, 109, 394, 388, 124, 196, 43, 16, 0, 1], [0, 6, 3, 52, 205, 101, 422, 332, 194, 140, 71, 8, 1, 1], [0, 6, 3, 52, 206, 93, 450, 276, 264, 84, 99, 0, 2, 1], [0, 6, 3, 53, 196, 137, 338, 458, 68, 224, 35, 17, 0, 1], [0, 6, 3, 53, 197, 129, 366, 402, 138, 168, 63, 9, 1, 1], [0, 6, 3, 53, 198, 121, 394, 346, 208, 112, 91, 1, 2, 1], [0, 6, 3, 54, 188, 165, 282, 528, 12, 252, 27, 18, 0, 1], [0, 6, 3, 54, 189, 157, 310, 472, 82, 196, 55, 10, 1, 1], [0, 6, 3, 54, 190, 149, 338, 416, 152, 140, 83, 2, 2, 1], [0, 6, 3, 55, 181, 185, 254, 542, 26, 224, 47, 11, 1, 1], [0, 6, 3, 55, 182, 177, 282, 486, 96, 168, 75, 3, 2, 1], [0, 6, 3, 56, 174, 205, 226, 556, 40, 196, 67, 4, 2, 1], [0, 6, 4, 41, 252, 0, 528, 318, 96, 258, 12, 17, 4, 0], [0, 6, 4, 42, 244, 28, 472, 388, 40, 286, 4, 18, 4, 0], [0, 6, 4, 42, 245, 20, 500, 332, 110, 230, 32, 10, 5, 0], [0, 6, 4, 42, 246, 12, 528, 276, 180, 174, 60, 2, 6, 0], [0, 6, 4, 43, 237, 48, 444, 402, 54, 258, 24, 11, 5, 0], [0, 6, 4, 43, 238, 40, 472, 346, 124, 202, 52, 3, 6, 0], [0, 6, 4, 43, 240, 25, 520, 262, 208, 160, 52, 15, 0, 1], [0, 6, 4, 43, 241, 17, 548, 206, 278, 104, 80, 7, 1, 1], [0, 6, 4, 44, 230, 68, 416, 416, 68, 230, 44, 4, 6, 0], [0, 6, 4, 44, 232, 53, 464, 332, 152, 188, 44, 16, 0, 1], [0, 6, 4, 44, 233, 45, 492, 276, 222, 132, 72, 8, 1, 1], [0, 6, 4, 44, 234, 37, 520, 220, 292, 76, 100, 0, 2, 1], [0, 6, 4, 45, 222, 96, 360, 486, 12, 258, 36, 5, 6, 0], [0, 6, 4, 45, 224, 81, 408, 402, 96, 216, 36, 17, 0, 1], [0, 6, 4, 45, 225, 73, 436, 346, 166, 160, 64, 9, 1, 1], [0, 6, 4, 45, 226, 65, 464, 290, 236, 104, 92, 1, 2, 1], [0, 6, 4, 46, 216, 109, 352, 472, 40, 244, 28, 18, 0, 1], [0, 6, 4, 46, 217, 101, 380, 416, 110, 188, 56, 10, 1, 1], [0, 6, 4, 46, 218, 93, 408, 360, 180, 132, 84, 2, 2, 1], [0, 6, 4, 47, 209, 129, 324, 486, 54, 216, 48, 11, 1, 1], [0, 6, 4, 47, 210, 121, 352, 430, 124, 160, 76, 3, 2, 1], [0, 6, 4, 48, 202, 149, 296, 500, 68, 188, 68, 4, 2, 1], [0, 6, 4, 49, 194, 177, 240, 570, 12, 216, 60, 5, 2, 1], [0, 6, 5, 36, 257, 20, 458, 416, 26, 278, 17, 12, 5, 0], [0, 6, 5, 36, 258, 12, 486, 360, 96, 222, 45, 4, 6, 0], [0, 6, 5, 37, 250, 40, 430, 430, 40, 250, 37, 5, 6, 0], [0, 6, 5, 37, 252, 25, 478, 346, 124, 208, 37, 17, 0, 1], [0, 6, 5, 37, 253, 17, 506, 290, 194, 152, 65, 9, 1, 1], [0, 6, 5, 37, 254, 9, 534, 234, 264, 96, 93, 1, 2, 1], [0, 6, 5, 38, 244, 53, 422, 416, 68, 236, 29, 18, 0, 1], [0, 6, 5, 38, 245, 45, 450, 360, 138, 180, 57, 10, 1, 1], [0, 6, 5, 38, 246, 37, 478, 304, 208, 124, 85, 2, 2, 1], [0, 6, 5, 39, 236, 81, 366, 486, 12, 264, 21, 19, 0, 1], [0, 6, 5, 39, 237, 73, 394, 430, 82, 208, 49, 11, 1, 1], [0, 6, 5, 39, 238, 65, 422, 374, 152, 152, 77, 3, 2, 1], [0, 6, 5, 40, 229, 101, 338, 500, 26, 236, 41, 12, 1, 1], [0, 6, 5, 40, 230, 93, 366, 444, 96, 180, 69, 4, 2, 1], [0, 6, 5, 41, 222, 121, 310, 514, 40, 208, 61, 5, 2, 1], [0, 6, 6, 30, 270, 12, 444, 444, 12, 270, 30, 6, 6, 0], [0, 6, 6, 31, 264, 25, 436, 430, 40, 256, 22, 19, 0, 1], [0, 6, 6, 31, 265, 17, 464, 374, 110, 200, 50, 11, 1, 1], [0, 6, 6, 31, 266, 9, 492, 318, 180, 144, 78, 3, 2, 1], [0, 6, 6, 32, 257, 45, 408, 444, 54, 228, 42, 12, 1, 1], [0, 6, 6, 32, 258, 37, 436, 388, 124, 172, 70, 4, 2, 1], [0, 6, 6, 33, 250, 65, 380, 458, 68, 200, 62, 5, 2, 1], [0, 6, 6, 34, 242, 93, 324, 528, 12, 228, 54, 6, 2, 1], [0, 6, 7, 25, 277, 17, 422, 458, 26, 248, 35, 13, 1, 1], [0, 6, 7, 25, 278, 9, 450, 402, 96, 192, 63, 5, 2, 1], [0, 6, 7, 26, 270, 37, 394, 472, 40, 220, 55, 6, 2, 1], [0, 6, 8, 19, 290, 9, 408, 486, 12, 240, 48, 7, 2, 1], [0, 6, 8, 20, 283, 29, 380, 500, 26, 212, 68, 0, 3, 1], [0, 7, 0, 44, 255, 18, 444, 444, 18, 255, 44, 0, 7, 0], [0, 7, 0, 44, 256, 11, 464, 416, 32, 269, 16, 20, 0, 1], [0, 7, 0, 44, 257, 3, 492, 360, 102, 213, 44, 12, 1, 1], [0, 7, 0, 45, 249, 31, 436, 430, 46, 241, 36, 13, 1, 1], [0, 7, 0, 45, 250, 23, 464, 374, 116, 185, 64, 5, 2, 1], [0, 7, 0, 46, 242, 51, 408, 444, 60, 213, 56, 6, 2, 1], [0, 7, 0, 47, 234, 79, 352, 514, 4, 241, 48, 7, 2, 1], [0, 7, 0, 48, 227, 99, 324, 528, 18, 213, 68, 0, 3, 1], [0, 7, 1, 38, 269, 3, 450, 444, 18, 261, 29, 14, 1, 1], [0, 7, 1, 39, 262, 23, 422, 458, 32, 233, 49, 7, 2, 1], [0, 7, 1, 40, 255, 43, 394, 472, 46, 205, 69, 0, 3, 1], [0, 7, 2, 33, 275, 15, 408, 486, 18, 225, 62, 1, 3, 1]}