WhaletechAI/Absorb-1B-Dataset · Datasets at Hugging Face

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 2541, 3890, 15985, 13, 8927, 330, 204, 264, 1642, 9017, 204, 264, 436, 16483, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2541, 3890, 273, 13267, 397, 275, 30578, 48191, 869, 18498, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 676, 6503, 4872, 3890, 299, 13, 4872, 3890, 15985, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 2519, 30578, 6060, 19, 204, 204, 264, 1532, 31, 204, 268, 387, 7966, 3376, 3096, 68, 2328, 4755, 11655, 322, 339, 330, 334, 48191, 3155, 1283, 24969, 19, 204, 264, 320, 204, 264, 387, 7966, 3376, 3096, 68, 2328, 4755, 11655, 289, 2153, 226, 314, 968, 275, 30578, 48191, 448, 273, 3324, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4368, 31, 14568, 330, 204, 268, 320, 204, 268, 977, 275, 6503, 4872, 3890, 299, 850, 19, 204, 204, 268, 457, 31, 204, 305, 4368, 322, 11600, 330, 334, 4368, 496, 1120, 444, 30578, 19, 204, 268, 320, 204, 268, 370, 19, 7208, 289, 4368, 204, 268, 370, 19, 36090, 299, 68, 395, 32351, 289, 500, 226, 314, 977, 275, 30578, 48191, 204, 204, 264, 436, 16483, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2541, 3890, 273, 13267, 397, 275, 30578, 48191, 869, 18498, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 397, 275, 30578, 48191, 869, 18498, 204, 268, 397, 370, 19, 36090, 299, 68, 395, 32351, 564, 500, 31, 204, 305, 314, 666, 273, 717, 13267, 329, 881, 490, 311, 275, 2304, 204, 305, 370, 806, 1510, 68, 21187, 374, 204, 305, 314, 8715, 275, 30578, 48191, 204, 305, 370, 19, 36090, 299, 68, 395, 32351, 289, 370, 19, 4175, 52, 3376, 3096, 68, 2328, 4755, 11655, 204, 268, 902, 31, 204, 305, 314, 25151, 275, 30578, 48191, 204, 305, 370, 19, 36090, 299, 68, 395, 32351, 4922, 368, 204, 204, 264, 436, 906, 1510, 68, 21187, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 13267, 329, 881, 490, 311, 275, 2304, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 13267, 204, 305, 13267, 289, 32283, 13, 327, 19, 7208, 19, 1608, 17, 370, 19, 7208, 19, 1932, 68, 93, 17, 370, 19, 7208, 19, 1932, 68, 94, 17, 370, 19, 7208, 19, 5863, 14, 204, 305, 314, 1255, 275, 13267, 311, 275, 2304, 204, 305, 370, 19, 7208, 19, 1608, 19, 826, 68, 7208, 13, 21187, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 13267, 5247, 521, 4998, 311, 275, 2304, 204, 305, 456, 13, 75, 7, 596, 4141, 521, 5209, 13267, 31, 463, 74, 743, 204, 204, 676, 9015, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 9015, 850, 19, 204, 268, 320, 204, 268, 370, 19, 33299, 289, 1306, 204, 204, 264, 436, 881, 68, 7208, 13, 327, 17, 4368, 31, 14568, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1255, 273, 4368, 311, 275, 2304, 19, 204, 204, 268, 457, 31, 204, 305, 4368, 322, 11600, 330, 334, 4368, 311, 444, 4327, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 370, 19, 33299, 19, 1223, 13, 7208, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 2304, 204, 264, 2304, 289, 9015, 374, 204, 264, 314, 666, 273, 717, 4368, 204, 264, 4368, 289, 14568, 13, 1608, 17, 500, 17, 500, 17, 388, 1633, 431, 204, 264, 314, 666, 273, 717, 30578, 6060, 204, 264, 30578, 68, 4007, 289, 6503, 4872, 3890, 299, 13, 7208, 14, 204, 264, 314, 2541, 3890, 273, 13267, 204, 264, 30578, 68, 4007, 19, 36090, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 647, 1361, 204, 531, 13830, 532, 21796, 204, 531, 1498, 532, 5006, 17, 2334, 17, 1061, 17, 783, 17, 1884, 204, 204, 647, 8674, 72, 1825, 19, 41089, 204, 647, 8674, 72, 1825, 19, 1723, 204, 647, 8674, 72, 1825, 19, 14270, 204, 647, 23821, 26139, 204, 647, 23821, 26139, 19, 28324, 204, 204, 676, 31779, 8759, 13, 76, 41089, 1825, 19, 1723, 19, 9481, 40, 3368, 330, 204, 264, 320, 204, 264, 31779, 1363, 850, 19, 204, 204, 264, 1058, 850, 4504, 437, 31779, 1363, 496, 618, 2906, 5453, 329, 3780, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 1363, 19, 204, 204, 268, 27800, 311, 275, 31779, 1981, 329, 3416, 719, 1643, 11882, 19, 204, 268, 320, 204, 268, 2234, 13, 9481, 40, 8759, 17, 370, 7906, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 6792, 31, 783, 64, 2983, 64, 325, 17, 5006, 17, 1061, 64, 325, 17, 2334, 648, 421, 17, 394, 2629, 289, 1306, 204, 268, 370, 19, 6316, 31, 783, 64, 2983, 64, 325, 17, 5006, 2629, 289, 1306, 204, 268, 370, 806, 2933, 68, 2977, 68, 12605, 374, 204, 204, 264, 436, 906, 2933, 68, 2977, 68, 12605, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 6370, 1643, 11882, 311, 275, 31779, 1545, 19, 204, 204, 268, 1058, 1216, 21443, 1643, 11882, 311, 275, 31779, 1545, 677, 8432, 19, 204, 268, 320, 204, 268, 314, 763, 830, 1643, 8432, 497, 8674, 72, 1825, 19, 14270, 204, 268, 1643, 68, 14270, 289, 551, 75, 348, 283, 292, 7892, 13, 76, 41089, 1825, 19, 14270, 14, 397, 283, 19, 7209, 611, 271, 68, 10116, 204, 268, 348, 1643, 292, 1643, 68, 14270, 31, 204, 305, 314, 763, 275, 1643, 4713, 497, 8674, 72, 1825, 19, 14270, 204, 305, 1643, 68, 4075, 289, 10175, 13, 76, 41089, 1825, 19, 14270, 17, 1643, 14, 204, 305, 314, 666, 273, 4713, 348, 275, 1643, 204, 305, 4713, 289, 370, 806, 4103, 68, 2977, 13, 2977, 14, 204, 305, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 6370, 275, 4713, 311, 275, 1643, 3683, 204, 305, 1643, 68, 4075, 19, 2933, 13, 4075, 17, 9701, 34, 1975, 14, 204, 204, 264, 436, 1354, 13, 327, 17, 588, 31, 394, 17, 3737, 31, 1061, 64, 325, 17, 2334, 66, 289, 443, 17, 4849, 31, 421, 289, 500, 17, 4016, 31, 394, 289, 388, 5397, 393, 5006, 31, 204, 268, 320, 204, 268, 27107, 311, 4080, 273, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1354, 19, 204, 305, 3737, 322, 1665, 64, 325, 17, 2334, 648, 1448, 330, 334, 2072, 302, 275, 1354, 19, 1243, 311, 443, 19, 204, 305, 4849, 322, 339, 17, 1448, 330, 334, 4849, 1945, 311, 732, 275, 1354, 19, 1243, 311, 500, 19, 204, 305, 4016, 322, 325, 17, 1448, 330, 334, 4016, 302, 275, 1354, 19, 1243, 311, 45600, 2948, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 13170, 741, 19, 204, 268, 320, 204, 268, 436, 10812, 68, 18693, 13, 4266, 31, 5006, 14, 393, 5006, 31, 204, 305, 1642, 21162, 13, 4266, 14, 204, 305, 436, 7086, 68, 18693, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 2334, 31, 204, 485, 314, 2735, 275, 1906, 204, 485, 397, 508, 2042, 31, 204, 895, 2042, 289, 322, 3170, 16391, 204, 485, 3634, 68, 1038, 289, 23821, 26139, 19, 28324, 806, 1703, 68, 1038, 13, 2645, 17, 540, 1038, 14, 204, 485, 314, 4889, 275, 741, 440, 275, 3634, 1906, 204, 485, 407, 6398, 7680, 9891, 68, 1038, 14, 204, 305, 314, 6676, 275, 1354, 204, 305, 370, 19, 6792, 19, 1223, 1802, 417, 17, 7086, 68, 18693, 17, 3737, 17, 4849, 17, 4016, 602, 204, 305, 407, 7086, 68, 18693, 204, 268, 407, 10812, 68, 18693, 204, 204, 264, 436, 1643, 13, 327, 17, 1643, 31, 394, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 27107, 311, 4080, 437, 1643, 4713, 19, 204, 204, 268, 457, 31, 204, 305, 1643, 322, 325, 330, 334, 588, 302, 275, 1643, 19, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 13170, 741, 19, 204, 268, 320, 204, 268, 436, 10812, 68, 18693, 13, 4266, 31, 5006, 14, 393, 5006, 31, 204, 305, 314, 6676, 275, 1643, 4713, 204, 305, 370, 19, 6316, 19, 1223, 1802, 75, 12, 271, 1859, 2977, 7798, 6398, 602, 204, 305, 407, 6398, 204, 268, 407, 10812, 68, 18693, 204, 204, 264, 436, 906, 4103, 68, 2977, 13, 327, 17, 1643, 31, 394, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 1426, 437, 1643, 560, 14101, 9882, 1643, 11882, 19, 204, 204, 268, 457, 31, 204, 305, 1643, 322, 325, 330, 334, 588, 302, 275, 1643, 19, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 1643, 4713, 19, 204, 268, 320, 204, 268, 436, 11820, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 305, 810, 31, 204, 485, 314, 763, 275, 1643, 11882, 348, 275, 1643, 204, 485, 11882, 289, 551, 4075, 348, 4713, 68, 417, 17, 4713, 292, 370, 19, 6316, 397, 4713, 68, 417, 564, 1643, 66, 204, 485, 314, 4889, 848, 1643, 4713, 204, 485, 348, 4713, 292, 11882, 31, 204, 895, 4713, 4934, 1038, 17, 930, 2251, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 2175, 1169, 2744, 496, 1336, 204, 485, 1361, 19, 718, 13, 75, 7, 596, 6886, 1643, 463, 2977, 2829, 463, 74, 743, 204, 268, 407, 11820, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 31779, 1363, 204, 264, 1363, 289, 31779, 8759, 374, 204, 204, 264, 314, 6676, 273, 1354, 204, 264, 1642, 2511, 19, 2196, 499, 9226, 528, 3737, 10703, 417, 559, 394, 1937, 204, 264, 436, 15399, 13, 417, 31, 394, 14, 393, 443, 31, 204, 268, 456, 13, 75, 7, 5975, 17, 463, 417, 23214, 204, 204, 264, 314, 6676, 437, 1643, 4713, 204, 264, 1642, 2511, 19, 2977, 499, 1541, 431, 204, 264, 436, 523, 68, 1541, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 268, 456, 499, 8390, 389, 12174, 275, 3906, 5397, 204, 204, 264, 314, 4055, 275, 1363, 204, 264, 1363, 19, 1530, 374, 204, 0, 658, 1687, 368, 31, 8554, 275, 800, 741, 329, 275, 1781, 204, 673, 800, 741, 353, 1743, 2514, 96, 22, 7610, 6685, 265, 7078, 329, 572, 1519, 311, 1020, 1163, 5442, 440, 4130, 311, 686, 89, 2176, 204, 204, 658, 1687, 435, 31, 3291, 275, 5649, 4090, 311, 1020, 275, 5442, 204, 1449, 1020, 275, 5442, 302, 1743, 2514, 96, 22, 7610, 6685, 265, 7078, 572, 6356, 3120, 275, 5649, 4090, 19, 334, 5442, 302, 275, 10812, 741, 7269, 22, 7610, 6685, 265, 2246, 65, 1209, 96, 22, 1134, 23, 1617, 353, 1743, 1209, 96, 22, 1134, 23, 7293, 22, 7610, 6685, 265, 14, 25474, 1209, 96, 22, 1134, 23, 35651, 329, 275, 5442, 302, 275, 7086, 741, 686, 22, 7610, 6685, 265, 9, 353, 1743, 1209, 96, 22, 1134, 89, 4742, 204, 204, 658, 1687, 571, 31, 888, 275, 5442, 974, 275, 5649, 4090, 204, 4931, 275, 5649, 4090, 17, 275, 5442, 302, 1743, 2514, 96, 22, 7610, 6685, 265, 1617, 353, 1743, 1209, 96, 22, 1134, 23, 7293, 22, 7610, 6685, 265, 14, 25474, 1209, 96, 22, 1134, 23, 3734, 688, 4423, 688, 1209, 96, 22, 1134, 89, 4742, 204, 204, 658, 1687, 681, 31, 8730, 275, 5442, 204, 10714, 275, 2231, 17, 572, 636, 1743, 1209, 96, 22, 1134, 23, 65, 2514, 96, 22, 7610, 6685, 265, 3734, 688, 4423, 688, 1209, 96, 22, 1134, 89, 98, 289, 688, 1209, 96, 22, 1134, 23, 89, 65, 2514, 96, 22, 7610, 6685, 265, 20644, 204, 204, 673, 2423, 2073, 353, 31, 1743, 1209, 96, 22, 1134, 23, 89, 65, 2514, 96, 22, 7610, 6685, 265, 10512, 0, 461, 5495, 68, 816, 68, 1630, 13, 920, 68, 4599, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 37139, 273, 1713, 542, 302, 1892, 497, 275, 575, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 329, 2584, 1475, 448, 273, 458, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4599, 322, 339, 330, 334, 542, 302, 1892, 311, 5495, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1892, 10831, 497, 275, 575, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 575, 537, 886, 204, 264, 575, 68, 1630, 31, 458, 64, 339, 66, 289, 1306, 204, 615, 264, 314, 11333, 21035, 886, 3119, 275, 6736, 1040, 353, 7486, 204, 264, 1335, 1245, 13, 816, 68, 1630, 14, 962, 771, 68, 4599, 31, 204, 268, 314, 1974, 273, 3546, 311, 2906, 2872, 3806, 204, 268, 1335, 959, 31, 204, 305, 314, 763, 575, 537, 329, 4809, 311, 1814, 490, 311, 437, 1534, 204, 305, 575, 68, 768, 31, 394, 289, 537, 13, 75, 7, 2101, 542, 463, 1796, 13, 816, 68, 1630, 14, 465, 368, 2829, 2810, 204, 305, 810, 31, 204, 485, 314, 3289, 311, 1814, 275, 537, 311, 437, 1534, 204, 485, 542, 31, 421, 289, 421, 13, 816, 68, 768, 14, 204, 485, 314, 828, 2707, 17, 881, 275, 542, 311, 275, 458, 329, 2280, 275, 3546, 204, 485, 575, 68, 1630, 19, 1223, 13, 1190, 14, 204, 485, 456, 499, 4290, 4327, 5397, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 314, 828, 275, 537, 2950, 444, 6004, 311, 437, 1534, 17, 456, 437, 908, 943, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 407, 575, 68, 1630, 204, 204, 204, 461, 1020, 68, 15496, 68, 1190, 13, 1630, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 5527, 542, 292, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 5527, 542, 292, 275, 458, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 1006, 741, 311, 1020, 275, 5527, 542, 204, 264, 407, 1006, 13, 1630, 14, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 542, 302, 3806, 311, 5495, 497, 275, 575, 204, 264, 771, 68, 4599, 31, 421, 289, 720, 204, 615, 264, 314, 14718, 575, 886, 204, 264, 575, 68, 1630, 31, 458, 64, 339, 66, 289, 5495, 68, 816, 68, 1630, 13, 920, 68, 4599, 14, 204, 615, 264, 314, 1752, 275, 5527, 542, 204, 264, 5527, 68, 1190, 31, 421, 289, 1020, 68, 15496, 68, 1190, 13, 816, 68, 1630, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 673, 5527, 542, 353, 31, 463, 15496, 68, 1190, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 6845, 68, 1663, 68, 531, 68, 816, 13, 835, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 273, 2415, 1525, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 264, 1302, 322, 339, 330, 334, 1302, 302, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 311, 1640, 575, 537, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 68, 998, 292, 933, 13, 835, 330, 204, 268, 314, 763, 575, 537, 348, 848, 1103, 292, 275, 1237, 204, 268, 1237, 289, 1306, 204, 268, 348, 1837, 68, 998, 292, 933, 13, 835, 330, 204, 305, 314, 13485, 575, 311, 2064, 275, 1103, 630, 275, 790, 1502, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1103, 289, 421, 13, 768, 13, 75, 7, 2101, 1103, 8267, 937, 68, 998, 16, 22, 17620, 3071, 68, 998, 16, 22, 23474, 4091, 204, 895, 1237, 19, 1223, 13, 1849, 14, 204, 895, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 822, 268, 314, 1255, 275, 1237, 311, 275, 1525, 204, 268, 1525, 19, 1223, 13, 937, 14, 204, 615, 264, 407, 1525, 204, 204, 461, 6246, 68, 11230, 68, 1630, 68, 266, 68, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 18447, 275, 4069, 886, 292, 273, 435, 41, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 334, 5846, 1525, 440, 4069, 886, 21552, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 2171, 1525, 311, 4516, 11227, 490, 292, 18, 1721, 204, 264, 5846, 68, 1663, 289, 551, 937, 16280, 348, 1237, 292, 1525, 66, 204, 615, 264, 314, 1861, 1048, 848, 1103, 292, 275, 1525, 204, 264, 348, 1237, 68, 998, 17, 1237, 292, 3209, 13, 12171, 68, 1663, 330, 204, 268, 348, 1837, 68, 998, 17, 1103, 292, 3209, 13, 937, 330, 204, 305, 314, 778, 397, 275, 1103, 353, 437, 4069, 542, 204, 305, 397, 1103, 1564, 435, 2167, 500, 31, 204, 485, 314, 18447, 275, 4069, 542, 204, 485, 5846, 68, 1663, 64, 937, 68, 998, 1799, 3071, 68, 998, 66, 10744, 435, 204, 615, 264, 407, 5846, 68, 1663, 204, 204, 461, 456, 68, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 273, 435, 41, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 292, 1525, 31, 204, 268, 456, 13, 937, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 1302, 302, 275, 1525, 204, 264, 1525, 68, 835, 289, 435, 204, 615, 264, 314, 763, 275, 1525, 497, 275, 575, 204, 264, 575, 68, 1663, 289, 636, 68, 6845, 68, 1663, 68, 531, 68, 816, 13, 1663, 68, 835, 14, 204, 615, 264, 314, 18447, 275, 4069, 886, 292, 275, 1525, 204, 264, 5846, 68, 1663, 289, 6246, 68, 11230, 68, 1630, 68, 266, 68, 1663, 13, 816, 68, 1663, 14, 204, 615, 264, 314, 1198, 275, 5846, 1525, 204, 264, 456, 499, 25448, 9260, 2212, 204, 264, 456, 68, 1663, 13, 12171, 68, 1663, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 20488, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2522, 292, 273, 2304, 19, 204, 204, 264, 1532, 31, 204, 268, 26272, 322, 2107, 330, 2266, 311, 2248, 273, 29829, 440, 3986, 1330, 275, 2522, 353, 18728, 19, 204, 268, 3564, 322, 325, 330, 2303, 365, 18, 7996, 458, 302, 3564, 311, 2037, 1330, 275, 2522, 353, 18728, 19, 204, 268, 732, 68, 39449, 322, 2107, 330, 2266, 311, 732, 275, 13066, 302, 275, 2522, 19, 204, 264, 320, 204, 204, 264, 26272, 289, 1094, 19, 10030, 13, 204, 268, 1540, 34, 1975, 17, 716, 268, 1340, 68, 492, 833, 14625, 29829, 440, 3986, 1330, 2522, 353, 18728, 491, 716, 268, 2874, 68, 417, 833, 23147, 12, 204, 264, 1179, 204, 264, 3564, 289, 1094, 19, 2580, 13, 204, 268, 4247, 34, 1021, 17, 716, 268, 1340, 68, 492, 833, 3715, 365, 5289, 458, 302, 3564, 311, 2037, 1330, 2522, 353, 18728, 491, 716, 268, 846, 68, 1205, 34, 2825, 17, 716, 268, 3749, 34, 1021, 17, 716, 268, 2874, 68, 417, 833, 6664, 12, 204, 264, 1179, 204, 264, 732, 68, 39449, 289, 1094, 19, 10030, 13, 2305, 34, 1021, 17, 2874, 68, 417, 833, 11345, 13066, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 9384, 463, 327, 19, 359, 2495, 204, 0, 3728, 45673, 1873, 275, 3714, 302, 12387, 292, 273, 6783, 36, 204, 204, 673, 15639, 5018, 275, 2796, 302, 275, 16266, 3332, 275, 8795, 329, 45673, 1873, 275, 3714, 302, 16266, 19, 716, 204, 673, 1277, 302, 273, 6285, 302, 8795, 1425, 13605, 275, 6132, 790, 12056, 1924, 490, 19, 334, 6397, 275, 1277, 302, 275, 8795, 17, 275, 3114, 275, 6795, 17, 8337, 12711, 275, 790, 21418, 1924, 275, 8795, 19, 716, 204, 837, 4998, 17, 275, 13276, 302, 275, 8795, 13605, 275, 3714, 302, 12387, 19, 332, 377, 9424, 8795, 869, 14645, 16266, 311, 7918, 275, 790, 17, 6465, 292, 3114, 6795, 17, 1335, 273, 9205, 270, 8795, 11138, 1182, 1864, 348, 16266, 311, 2284, 1924, 275, 6783, 17, 6465, 292, 2202, 6795, 19, 204, 204, 673, 2969, 302, 12387, 292, 273, 8795, 353, 5387, 4950, 10, 302, 275, 2969, 302, 3702, 17, 928, 353, 3332, 18534, 17, 1207, 5437, 20, 88, 19, 3355, 17, 275, 2641, 2969, 302, 275, 16266, 7105, 17, 1425, 3556, 448, 275, 23051, 3581, 17, 353, 3171, 25379, 19, 204, 204, 673, 3857, 496, 4767, 275, 2969, 302, 12387, 292, 273, 8795, 2255, 31, 204, 204, 22, 19, 10217, 302, 275, 8795, 31, 480, 271, 727, 22695, 874, 1182, 6795, 17, 928, 45673, 1873, 275, 3714, 302, 12387, 19, 204, 23, 19, 2767, 19087, 302, 275, 8795, 31, 2767, 21853, 22695, 874, 2202, 6795, 17, 11439, 12387, 311, 3714, 12096, 19, 204, 24, 19, 25493, 302, 275, 8795, 31, 16568, 22613, 874, 1792, 8386, 31575, 17, 440, 18381, 2545, 275, 2765, 23940, 17, 8367, 560, 17423, 17, 7905, 17, 26631, 17, 329, 28792, 19, 204, 204, 837, 5549, 17, 275, 3714, 302, 12387, 292, 273, 8795, 353, 9647, 560, 275, 1277, 17, 13276, 17, 329, 3821, 302, 275, 8795, 17, 448, 2590, 448, 275, 9920, 302, 24154, 19, 12775, 1605, 3857, 353, 11897, 292, 25583, 329, 2976, 4616, 12632, 18147, 19, 0, 531, 1907, 19, 11761, 532, 2111, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 273, 955, 311, 2304, 1351, 3003, 311, 1017, 11882, 204, 30991, 68, 32968, 49, 9567, 31, 1061, 64, 325, 17, 7063, 66, 289, 463, 204, 264, 379, 71, 1476, 597, 2906, 68, 71, 1476, 17, 204, 264, 379, 495, 79, 7014, 597, 2906, 68, 495, 79, 7014, 17, 204, 264, 379, 1715, 12677, 68, 29756, 597, 2906, 68, 1715, 12677, 68, 29756, 17, 204, 264, 379, 88, 12432, 32121, 597, 2906, 68, 88, 12432, 32121, 17, 204, 98, 204, 204, 461, 2941, 68, 2225, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12093, 275, 2941, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 2941, 1472, 19, 204, 264, 320, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 998, 19, 2079, 534, 204, 204, 461, 1351, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 1351, 1472, 521, 437, 908, 1472, 397, 275, 1351, 1187, 353, 7843, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1351, 1187, 353, 292, 275, 824, 204, 264, 348, 1351, 68, 932, 17, 4713, 292, 14239, 24881, 68, 32968, 49, 9567, 19, 1996, 1293, 204, 268, 397, 1351, 68, 932, 292, 824, 19, 4252, 31, 204, 305, 314, 4889, 275, 4713, 741, 348, 275, 1351, 1187, 204, 305, 407, 4713, 13, 1443, 14, 204, 204, 264, 314, 1426, 7843, 1351, 3003, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 718, 19, 2079, 534, 204, 204, 461, 2906, 68, 71, 1476, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 565, 1476, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 565, 1476, 1351, 1472, 19, 204, 264, 320, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 565, 1476, 1351, 1472, 204, 264, 1724, 289, 388, 39, 1476, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 495, 79, 7014, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 852, 79, 7014, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 852, 79, 7014, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 852, 79, 7014, 1351, 1472, 204, 264, 1724, 289, 388, 1046, 79, 7014, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 17, 379, 1778, 23, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 1715, 12677, 68, 29756, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 9469, 12677, 415, 10687, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 9469, 12677, 415, 10687, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 9469, 12677, 415, 10687, 1351, 1472, 204, 264, 1724, 289, 388, 10215, 12677, 415, 10687, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 88, 12432, 32121, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 387, 12432, 32121, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 387, 12432, 32121, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 387, 12432, 32121, 1351, 1472, 204, 264, 1724, 289, 388, 56, 12432, 32121, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 676, 41449, 916, 55, 1518, 31, 204, 264, 320, 204, 264, 5307, 275, 5926, 302, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 2696, 322, 1218, 64, 4307, 1037, 332, 458, 302, 2696, 311, 1395, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2696, 31, 783, 736, 4307, 2378, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 41449, 916, 55, 1518, 440, 273, 458, 302, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 2696, 31, 332, 458, 302, 2696, 311, 1395, 19, 204, 268, 320, 204, 268, 370, 19, 1996, 289, 2696, 204, 204, 264, 436, 1395, 68, 11382, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 848, 1184, 19, 204, 268, 320, 204, 268, 314, 1861, 1048, 848, 1184, 329, 1395, 1163, 5926, 204, 268, 348, 1184, 292, 370, 19, 1996, 31, 204, 305, 314, 778, 275, 1184, 1187, 329, 1395, 1163, 5926, 15844, 204, 305, 397, 1184, 19, 417, 564, 388, 38, 2669, 565, 1476, 559, 204, 485, 370, 806, 2045, 68, 71, 1476, 13, 1271, 14, 204, 305, 1677, 1184, 19, 417, 564, 388, 10215, 12677, 11669, 311, 273, 313, 10059, 48, 1889, 2934, 47651, 27041, 559, 204, 485, 370, 806, 2045, 68, 1715, 12677, 68, 29756, 13, 1271, 14, 204, 305, 1677, 1184, 19, 417, 564, 388, 1046, 79, 7014, 559, 204, 485, 370, 806, 2045, 68, 495, 79, 7014, 13, 1271, 14, 204, 305, 314, 1255, 273, 1540, 1322, 311, 2906, 7843, 1184, 3003, 204, 305, 902, 31, 204, 485, 456, 13, 75, 7, 11725, 1184, 1187, 31, 463, 1271, 19, 417, 743, 204, 204, 264, 436, 906, 2045, 68, 71, 1476, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 332, 2669, 565, 1476, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 22295, 275, 5926, 302, 332, 2669, 565, 1476, 2696, 204, 268, 397, 1184, 19, 11382, 962, 2753, 31, 204, 305, 1184, 19, 11382, 1412, 368, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 264, 436, 906, 2045, 68, 1715, 12677, 68, 29756, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 9469, 12677, 415, 10687, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 22295, 275, 5926, 302, 9469, 12677, 415, 10687, 2696, 1609, 523, 275, 11327, 68, 266, 1489, 204, 268, 397, 1184, 19, 13914, 68, 266, 292, 933, 13, 27, 17, 2958, 330, 204, 305, 397, 1184, 19, 11382, 962, 2753, 31, 204, 485, 1184, 19, 11382, 1412, 435, 204, 268, 1677, 1184, 19, 13914, 68, 266, 292, 933, 13, 21, 17, 887, 330, 204, 305, 397, 1184, 19, 11382, 962, 2753, 31, 204, 485, 1184, 19, 11382, 1412, 571, 204, 268, 902, 31, 204, 305, 314, 8715, 275, 5926, 311, 500, 397, 275, 11327, 68, 266, 1489, 869, 7568, 204, 305, 1184, 19, 11382, 289, 500, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 264, 436, 906, 2045, 68, 495, 79, 7014, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 852, 79, 7014, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 33276, 275, 5926, 302, 852, 79, 7014, 2696, 204, 268, 397, 1184, 19, 11382, 1323, 500, 31, 204, 305, 1184, 19, 11382, 4922, 435, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 676, 9342, 31, 204, 264, 320, 204, 264, 2646, 437, 1184, 440, 273, 588, 17, 11327, 68, 266, 1489, 17, 329, 5926, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1184, 19, 204, 268, 11327, 68, 266, 322, 339, 330, 334, 11327, 68, 266, 1489, 302, 275, 1184, 19, 204, 268, 5926, 322, 339, 330, 334, 5926, 302, 275, 1184, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 11327, 68, 266, 31, 421, 17, 5926, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1184, 440, 273, 588, 17, 11327, 68, 266, 1489, 17, 329, 5926, 19, 204, 204, 268, 457, 31, 204, 305, 588, 31, 334, 588, 302, 275, 1184, 19, 204, 305, 11327, 68, 266, 31, 334, 11327, 68, 266, 1489, 302, 275, 1184, 19, 204, 305, 5926, 31, 334, 5926, 302, 275, 1184, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 13914, 68, 266, 289, 11327, 68, 266, 204, 268, 370, 19, 11382, 289, 5926, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1184, 19, 204, 204, 268, 475, 31, 204, 305, 332, 782, 2355, 302, 275, 1184, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 417, 1522, 463, 327, 19, 13914, 68, 266, 1522, 463, 327, 19, 11382, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 458, 302, 2696, 204, 264, 2696, 289, 551, 204, 268, 9342, 499, 38, 2669, 565, 1476, 528, 931, 17, 1199, 659, 204, 268, 9342, 499, 10215, 12677, 11669, 311, 273, 313, 10059, 48, 1889, 2934, 47651, 27041, 528, 720, 17, 2468, 659, 204, 268, 9342, 499, 1046, 79, 7014, 528, 2153, 17, 2846, 659, 204, 264, 2437, 204, 204, 264, 314, 666, 273, 41449, 916, 55, 1518, 1014, 204, 264, 357, 362, 916, 68, 22692, 289, 41449, 916, 55, 1518, 13, 1996, 14, 204, 204, 264, 314, 1716, 275, 5926, 302, 275, 2696, 204, 264, 357, 362, 916, 68, 22692, 19, 2045, 68, 11382, 374, 204, 204, 264, 314, 1198, 275, 2908, 2696, 204, 264, 348, 1184, 292, 357, 362, 916, 68, 22692, 19, 1996, 31, 204, 268, 456, 13, 1271, 14, 204, 0, 658, 3957, 1940, 10718, 204, 204, 673, 41680, 3284, 353, 273, 4474, 1376, 292, 7299, 11258, 17, 4310, 448, 31, 204, 204, 5965, 82, 1859, 57, 5609, 23, 98, 289, 309, 1881, 23, 98, 465, 284, 1859, 93, 5609, 23, 98, 465, 284, 1859, 94, 5609, 23, 98, 289, 471, 1881, 23, 98, 338, 284, 1859, 95, 5609, 23, 20149, 204, 204, 3663, 31, 204, 18, 4728, 82, 8021, 353, 275, 35118, 3284, 17, 204, 18, 4728, 85, 1859, 93, 22116, 329, 4728, 85, 1859, 94, 22116, 529, 275, 5353, 70, 10066, 311, 275, 11310, 9669, 322, 266, 275, 41680, 2945, 659, 204, 18, 4728, 42, 8021, 353, 275, 2796, 17, 329, 204, 18, 4728, 85, 1859, 95, 22116, 353, 275, 8454, 4558, 275, 11310, 9669, 19, 204, 204, 1380, 3957, 1940, 10754, 204, 204, 673, 41680, 2796, 353, 4310, 448, 31, 204, 204, 5965, 42, 1859, 57, 98, 289, 471, 688, 1209, 3164, 5968, 96, 85, 7449, 57, 7015, 12799, 5968, 96, 85, 20212, 20149, 204, 204, 3663, 16815, 5968, 96, 85, 7449, 57, 98, 289, 322, 85, 1859, 93, 1522, 284, 1859, 94, 1937, 8021, 353, 275, 41680, 8454, 2450, 19, 204, 204, 3070, 273, 3284, 3275, 7299, 11407, 13, 82, 289, 500, 65, 3917, 4728, 42, 1859, 57, 98, 289, 284, 1859, 57, 98, 289, 309, 1859, 57, 38833, 204, 204, 1380, 7609, 18, 23399, 15966, 204, 204, 3070, 273, 1561, 302, 970, 9312, 17, 275, 3284, 618, 444, 3392, 974, 31, 204, 204, 5965, 50, 1859, 429, 5609, 23, 98, 289, 322, 85, 1859, 70, 98, 465, 284, 1859, 71, 35418, 23, 98, 289, 284, 1859, 70, 5609, 23, 98, 465, 284, 1859, 71, 5609, 23, 98, 465, 435, 85, 1859, 70, 98, 85, 1859, 71, 20149, 204, 204, 5965, 50, 1859, 429, 5609, 23, 98, 289, 309, 1859, 70, 5609, 23, 98, 465, 309, 1859, 71, 5609, 23, 98, 465, 435, 13, 42, 1859, 70, 98, 42, 1859, 71, 98, 338, 688, 5968, 96, 85, 7449, 70, 98, 688, 4423, 688, 5968, 96, 85, 7449, 71, 1937, 12705, 204, 204, 1380, 3957, 1940, 10718, 292, 7609, 18, 23399, 15966, 204, 204, 837, 275, 1322, 302, 273, 10321, 1025, 970, 9312, 1273, 1051, 7299, 2950, 444, 7675, 5104, 17, 275, 41680, 3284, 353, 4310, 448, 31, 204, 204, 5965, 50, 1859, 57, 5609, 23, 98, 289, 322, 42, 1859, 57, 17, 22, 98, 465, 471, 1859, 57, 17, 23, 35418, 23, 98, 338, 11407, 5968, 96, 85, 7449, 57, 17, 22, 98, 465, 688, 5968, 96, 85, 7449, 57, 17, 23, 35418, 23, 20149, 204, 204, 3663, 4728, 42, 1859, 57, 17, 22, 22116, 329, 4728, 42, 1859, 57, 17, 23, 22116, 529, 275, 41680, 21940, 302, 275, 35240, 19, 204, 204, 3070, 3284, 3275, 35240, 17, 275, 41680, 3284, 11388, 311, 31, 204, 204, 5965, 50, 1859, 57, 5609, 23, 98, 289, 435, 42, 1859, 57, 17, 22, 98, 42, 1859, 57, 17, 23, 7293, 22, 338, 688, 2809, 688, 7430, 36715, 204, 204, 3663, 16815, 7430, 8021, 353, 275, 2746, 1283, 275, 35240, 292, 275, 41680, 6258, 19, 0, 647, 4104, 204, 647, 1875, 204, 647, 2454, 204, 647, 3238, 204, 204, 461, 1137, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 273, 2084, 510, 497, 275, 800, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 3271, 2084, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 87, 534, 448, 510, 31, 204, 305, 407, 1875, 19, 986, 13, 553, 14, 226, 314, 1974, 1875, 19, 986, 374, 5976, 302, 1875, 19, 5569, 374, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 2106, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 17, 424, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 273, 955, 311, 273, 2084, 510, 630, 275, 800, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 268, 424, 322, 873, 330, 334, 424, 311, 444, 6467, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 510, 31, 204, 268, 1875, 19, 4573, 13, 481, 17, 510, 17, 8851, 34, 25, 17, 1688, 68, 3261, 34, 1021, 14, 204, 204, 461, 1352, 68, 2039, 68, 553, 13, 2039, 68, 553, 68, 546, 31, 394, 17, 1714, 31, 1135, 17, 1627, 880, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2306, 510, 329, 1395, 275, 1714, 329, 1627, 880, 5239, 19, 204, 204, 264, 457, 31, 204, 268, 4104, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 268, 1714, 322, 873, 330, 334, 1714, 955, 19, 204, 268, 1627, 880, 322, 873, 330, 334, 1627, 880, 955, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 510, 2560, 2518, 9221, 311, 1451, 490, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 2039, 68, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 4104, 68, 6439, 289, 4104, 19, 29180, 13, 553, 14, 204, 305, 456, 13, 75, 7, 2310, 874, 1605, 2357, 31, 463, 2039, 68, 6439, 19, 44293, 743, 204, 305, 348, 1237, 292, 4104, 68, 6439, 31, 204, 485, 7276, 68, 417, 289, 636, 68, 9521, 68, 417, 13, 937, 14, 204, 485, 314, 1716, 275, 1714, 955, 204, 485, 397, 7276, 68, 417, 508, 292, 1714, 31, 204, 895, 1714, 64, 9521, 68, 417, 66, 289, 379, 1957, 12, 204, 485, 314, 1716, 275, 1627, 880, 955, 204, 485, 397, 1237, 736, 17257, 2295, 839, 508, 292, 1627, 880, 31, 204, 895, 1627, 880, 64, 937, 736, 17257, 2295, 11653, 289, 1306, 204, 485, 397, 7276, 68, 417, 508, 292, 1627, 880, 64, 937, 736, 17257, 2295, 839, 744, 204, 895, 1627, 880, 64, 937, 736, 17257, 2295, 29385, 1223, 13, 9521, 68, 417, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 2039, 68, 553, 68, 546, 743, 204, 204, 461, 636, 68, 9521, 68, 417, 13, 937, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 7276, 588, 497, 275, 800, 1237, 19, 204, 204, 264, 457, 31, 204, 268, 1237, 322, 873, 330, 334, 1237, 1174, 275, 7276, 677, 1483, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7276, 677, 588, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 379, 5434, 22974, 588, 12, 397, 490, 677, 508, 1392, 17, 2130, 732, 379, 5834, 417, 12, 204, 264, 7276, 68, 417, 289, 1237, 736, 5434, 22974, 588, 839, 397, 1237, 736, 5434, 22974, 588, 839, 2167, 5607, 902, 1237, 736, 5834, 417, 839, 204, 264, 7276, 68, 417, 1412, 379, 379, 465, 1237, 736, 12378, 588, 839, 204, 264, 407, 7276, 68, 417, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 1974, 3238, 348, 1354, 1007, 4601, 6673, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 4880, 273, 2306, 510, 329, 1395, 275, 1714, 329, 1627, 880, 5239, 5901, 204, 264, 1732, 19, 826, 68, 2389, 611, 2039, 68, 553, 68, 546, 491, 1340, 833, 673, 832, 311, 275, 2306, 510, 5901, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 4104, 68, 553, 68, 546, 289, 2042, 19, 2039, 68, 553, 68, 546, 204, 264, 1714, 68, 553, 68, 546, 289, 379, 2262, 405, 270, 419, 18, 1835, 19, 1775, 12, 204, 264, 1627, 880, 68, 553, 68, 546, 289, 379, 2262, 405, 270, 419, 18, 2207, 880, 19, 1775, 12, 204, 204, 264, 314, 1385, 275, 1714, 329, 1627, 880, 5239, 204, 264, 1714, 289, 1137, 68, 1775, 68, 553, 13, 1835, 68, 553, 68, 546, 14, 204, 264, 1627, 880, 289, 1137, 68, 1775, 68, 553, 13, 2207, 880, 68, 553, 68, 546, 14, 204, 204, 264, 314, 3325, 275, 2306, 510, 204, 264, 1352, 68, 2039, 68, 553, 13, 2039, 68, 553, 68, 546, 17, 1714, 17, 1627, 880, 14, 204, 204, 264, 314, 3025, 275, 2908, 1714, 329, 1627, 880, 5239, 204, 264, 2106, 68, 1775, 68, 553, 13, 1835, 68, 553, 68, 546, 17, 1714, 14, 204, 264, 2106, 68, 1775, 68, 553, 13, 2207, 880, 68, 553, 68, 546, 17, 1627, 880, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 676, 11942, 3609, 23194, 596, 13, 2940, 330, 204, 264, 320, 204, 264, 5336, 2710, 348, 4854, 560, 2962, 19, 204, 204, 264, 1532, 31, 204, 268, 943, 322, 325, 330, 334, 908, 943, 19, 204, 268, 424, 322, 873, 330, 6119, 424, 3232, 311, 275, 908, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 943, 31, 394, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 2710, 440, 273, 943, 329, 4916, 424, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 330, 334, 908, 943, 19, 204, 305, 424, 322, 873, 330, 6119, 424, 3232, 311, 275, 908, 19, 204, 268, 320, 204, 268, 370, 19, 1454, 289, 943, 204, 268, 370, 19, 481, 289, 424, 204, 268, 2234, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3853, 924, 889, 1454, 14, 204, 204, 461, 3281, 13, 20262, 31, 818, 17, 4731, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 35629, 275, 11054, 560, 275, 4731, 17, 17863, 437, 2710, 397, 275, 4731, 353, 2962, 19, 204, 204, 264, 457, 31, 204, 268, 11054, 322, 996, 330, 334, 542, 2545, 6167, 19, 204, 268, 4731, 322, 996, 330, 334, 542, 560, 928, 572, 529, 8631, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 722, 302, 275, 4854, 19, 204, 204, 264, 1632, 31, 204, 268, 11942, 3609, 23194, 596, 31, 828, 275, 4731, 353, 2962, 19, 204, 264, 320, 204, 264, 314, 778, 348, 4854, 560, 2962, 329, 980, 273, 2363, 2710, 204, 264, 397, 4731, 564, 500, 31, 204, 268, 980, 11942, 3609, 23194, 596, 499, 8195, 560, 2962, 528, 2552, 20262, 597, 11054, 17, 379, 13610, 597, 4731, 1937, 204, 615, 264, 314, 3055, 275, 4854, 204, 264, 407, 11054, 802, 4731, 204, 204, 461, 683, 68, 17529, 4934, 1038, 31, 927, 64, 996, 17, 818, 694, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 3281, 741, 440, 275, 1917, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 540, 1038, 31, 1884, 88, 1174, 275, 11054, 329, 4731, 19, 204, 264, 320, 204, 264, 348, 2571, 292, 2042, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 2811, 275, 4854, 204, 305, 722, 289, 3281, 13, 2345, 64, 21, 648, 2571, 64, 22, 694, 204, 305, 456, 13, 75, 7, 8195, 722, 31, 463, 1300, 743, 204, 268, 827, 11942, 3609, 23194, 596, 448, 9981, 31, 204, 305, 314, 1426, 275, 4854, 560, 2962, 908, 204, 305, 456, 13, 75, 7, 596, 31, 463, 932, 13, 5823, 7906, 417, 367, 1522, 7837, 31, 463, 5823, 19, 1454, 1522, 1594, 31, 463, 5823, 19, 481, 743, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 17529, 1802, 22, 17, 500, 659, 322, 22, 17, 368, 659, 322, 1003, 17, 435, 602, 204, 0, 461, 949, 68, 12046, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 9776, 6400, 542, 974, 437, 18574, 3979, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 1502, 302, 275, 6400, 542, 311, 949, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 9776, 6400, 542, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 300, 353, 273, 2917, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 348, 2917, 537, 204, 264, 397, 300, 962, 500, 31, 204, 268, 980, 987, 499, 3383, 1631, 444, 273, 1950, 18, 4721, 1534, 1280, 204, 204, 264, 314, 3301, 2910, 348, 6400, 1767, 204, 264, 397, 300, 962, 435, 31, 204, 268, 407, 300, 204, 204, 264, 314, 977, 2558, 348, 275, 6400, 1767, 204, 264, 273, 17, 308, 289, 500, 17, 368, 204, 204, 264, 314, 888, 275, 9776, 6400, 542, 204, 264, 348, 906, 292, 933, 13, 23, 17, 300, 465, 368, 330, 204, 268, 314, 1716, 273, 329, 308, 348, 275, 1682, 6491, 204, 268, 273, 17, 308, 289, 308, 17, 273, 465, 308, 204, 204, 264, 407, 308, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 3893, 490, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 677, 537, 448, 437, 1534, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 1950, 18, 4721, 1534, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 575, 537, 204, 305, 537, 68, 1190, 289, 421, 13, 768, 499, 2101, 273, 542, 31, 4091, 204, 204, 305, 314, 778, 397, 275, 537, 353, 1950, 18, 4721, 204, 305, 397, 537, 68, 1190, 962, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 1950, 18, 4721, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 537, 68, 1190, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 763, 575, 537, 17, 949, 275, 3310, 6400, 542, 17, 329, 456, 275, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 575, 537, 204, 268, 537, 68, 1190, 289, 636, 68, 816, 68, 768, 374, 204, 204, 268, 314, 888, 275, 6400, 542, 204, 268, 16638, 68, 1300, 289, 949, 68, 12046, 13, 768, 68, 1190, 14, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 13, 75, 7, 673, 463, 768, 68, 1190, 98, 427, 6400, 542, 353, 31, 463, 12046, 68, 1300, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 4433, 68, 29710, 532, 11578, 204, 531, 4433, 68, 16807, 68, 26931, 532, 20210, 68, 5593, 204, 531, 19194, 276, 532, 19194, 204, 531, 1498, 532, 1884, 17, 1061, 204, 204, 531, 5325, 4949, 19, 19710, 68, 26351, 532, 17223, 63, 3535, 29216, 4949, 204, 204, 676, 17223, 30366, 8048, 13, 8048, 330, 204, 264, 320, 204, 264, 332, 3966, 348, 6886, 17223, 9624, 2758, 19, 204, 204, 264, 1058, 850, 3629, 273, 19870, 1382, 4510, 348, 9933, 17223, 20036, 19, 204, 264, 320, 204, 204, 264, 1642, 42309, 204, 264, 436, 589, 924, 889, 327, 17, 26358, 68, 26351, 68, 15293, 4949, 31, 17223, 63, 3535, 29216, 4949, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 17223, 30366, 8048, 440, 273, 17223, 63, 3535, 29216, 4949, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 26358, 68, 26351, 68, 15293, 4949, 322, 31611, 63, 3535, 29216, 4949, 330, 334, 5325, 4949, 348, 17223, 9624, 2758, 19, 204, 268, 320, 204, 268, 370, 806, 19710, 68, 26351, 68, 15293, 4949, 289, 26358, 68, 26351, 68, 15293, 4949, 204, 204, 264, 1642, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16807, 68, 5593, 204, 264, 436, 636, 13, 327, 14, 393, 1884, 64, 1665, 17, 421, 744, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 830, 17223, 20036, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 1665, 17, 421, 744, 332, 927, 1174, 275, 458, 302, 17223, 20036, 329, 273, 2031, 1714, 1576, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 4491, 275, 458, 302, 17223, 20036, 497, 275, 5325, 4949, 204, 305, 26358, 68, 26351, 289, 370, 806, 19710, 68, 26351, 68, 15293, 4949, 19, 655, 68, 668, 68, 26351, 374, 204, 305, 407, 2832, 19710, 68, 26351, 559, 26358, 68, 26351, 1522, 2031, 204, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 275, 2710, 348, 17114, 5356, 204, 305, 314, 2082, 19, 718, 13, 75, 7, 596, 9933, 17223, 20036, 31, 463, 325, 13, 74, 3835, 204, 305, 407, 2832, 1454, 559, 388, 3504, 311, 3686, 17223, 20036, 7832, 5106, 204, 0, 647, 1400, 204, 204, 461, 1900, 68, 24924, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 17, 5999, 68, 7709, 31, 818, 289, 500, 19, 24, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2069, 273, 12713, 1525, 440, 1400, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 264, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 264, 5999, 68, 7709, 322, 996, 17, 1448, 330, 334, 2634, 302, 273, 2092, 2545, 273, 5999, 322, 2305, 353, 500, 19, 24, 789, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 2069, 848, 1237, 302, 275, 1525, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 314, 2069, 275, 1043, 4315, 302, 275, 1237, 204, 268, 1237, 289, 551, 24, 397, 1400, 19, 2017, 374, 2186, 5999, 68, 7709, 902, 500, 348, 906, 292, 933, 13, 6103, 3166, 435, 2395, 204, 822, 268, 314, 39989, 275, 1237, 311, 838, 13825, 204, 268, 1237, 1412, 551, 21, 66, 465, 1237, 12658, 22, 66, 204, 822, 268, 314, 9251, 275, 1237, 869, 275, 1706, 542, 302, 2630, 204, 268, 397, 10426, 1564, 435, 564, 500, 31, 204, 305, 1237, 289, 1237, 9128, 22, 66, 204, 822, 268, 1525, 19, 1223, 13, 937, 14, 204, 615, 264, 407, 1525, 204, 204, 461, 1020, 68, 9663, 13, 1663, 31, 458, 17, 1029, 68, 1309, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1752, 275, 3265, 302, 4207, 440, 2824, 1019, 292, 275, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 330, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 1029, 68, 1309, 322, 655, 330, 332, 458, 302, 1019, 311, 1020, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 332, 955, 1273, 275, 3583, 529, 275, 1029, 1019, 329, 275, 1019, 529, 3330, 302, 3265, 19, 204, 264, 320, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 3265, 302, 848, 1029, 700, 204, 264, 2092, 68, 3992, 289, 463, 876, 31, 1306, 348, 700, 292, 1029, 68, 1309, 98, 204, 615, 264, 314, 1861, 1048, 275, 1525, 311, 1020, 275, 3265, 302, 848, 1029, 700, 204, 264, 348, 296, 17, 1237, 292, 3209, 13, 1663, 330, 204, 268, 348, 781, 17, 700, 292, 3209, 13, 937, 330, 204, 305, 397, 700, 292, 1029, 68, 1309, 31, 204, 485, 2092, 68, 3992, 64, 876, 1664, 1223, 1568, 78, 17, 781, 694, 204, 615, 264, 407, 2092, 68, 3992, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 1525, 5150, 204, 264, 3015, 289, 1199, 204, 264, 10426, 289, 13316, 204, 615, 264, 314, 2069, 273, 12713, 1525, 204, 264, 1525, 289, 1900, 68, 24924, 68, 1663, 13, 3173, 17, 10426, 14, 204, 615, 264, 314, 1752, 275, 3265, 302, 2962, 329, 5999, 4207, 204, 264, 1029, 68, 1309, 289, 551, 21, 17, 571, 66, 204, 264, 2092, 68, 3992, 289, 1020, 68, 9663, 13, 1663, 17, 1029, 68, 1309, 14, 204, 615, 264, 314, 1198, 275, 1563, 204, 264, 456, 499, 23194, 4207, 2180, 2092, 68, 3992, 64, 21, 694, 204, 264, 456, 499, 38780, 4207, 2180, 2092, 68, 3992, 64, 24, 694, 204, 264, 456, 499, 6425, 4207, 2180, 1245, 13, 4039, 68, 3992, 64, 21, 694, 465, 1245, 13, 4039, 68, 3992, 64, 24, 4513, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 4036, 68, 4649, 68, 1031, 13, 768, 68, 325, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 273, 800, 1534, 782, 17, 7057, 12467, 7152, 329, 27055, 275, 1574, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 325, 322, 325, 330, 334, 537, 1534, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 1534, 782, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 782, 353, 1392, 521, 508, 273, 1097, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 782, 353, 1392, 204, 264, 397, 508, 537, 68, 325, 31, 204, 268, 980, 987, 499, 3383, 782, 353, 1392, 431, 204, 204, 264, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 1534, 204, 264, 397, 508, 537, 68, 325, 19, 26920, 6905, 3930, 13314, 1293, 204, 268, 980, 987, 499, 3383, 782, 353, 508, 273, 1097, 1534, 431, 204, 204, 264, 314, 4347, 275, 1574, 302, 275, 537, 782, 204, 264, 1574, 289, 21171, 397, 537, 68, 325, 19, 7209, 39657, 902, 5607, 204, 264, 314, 3182, 275, 1574, 497, 275, 537, 782, 204, 264, 4923, 68, 325, 289, 537, 68, 325, 19, 26920, 39657, 204, 204, 264, 314, 3182, 12467, 7152, 329, 4036, 275, 782, 204, 264, 7563, 68, 325, 289, 4923, 68, 325, 19, 14246, 611, 21, 534, 521, 379, 21, 12, 204, 264, 7563, 68, 325, 289, 7563, 68, 325, 12658, 22, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 66, 204, 204, 264, 314, 9587, 275, 1574, 329, 275, 7563, 782, 204, 264, 722, 289, 1574, 465, 7563, 68, 325, 204, 204, 264, 407, 722, 204, 204, 8, 1165, 1265, 31, 204, 461, 667, 1293, 204, 264, 537, 68, 325, 289, 537, 499, 2101, 437, 1534, 782, 31, 2810, 204, 264, 810, 31, 204, 268, 456, 13, 8553, 68, 4649, 68, 1031, 13, 768, 68, 325, 602, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 6032, 448, 1774, 204, 647, 2010, 448, 645, 204, 204, 8, 4861, 204, 29707, 68, 2956, 289, 931, 204, 29483, 68, 57, 68, 5605, 289, 931, 204, 920, 68, 1219, 68, 481, 289, 3861, 204, 2884, 68, 835, 289, 931, 204, 920, 68, 804, 68, 481, 289, 1607, 204, 16027, 289, 931, 204, 204, 676, 9389, 31, 204, 264, 320, 204, 264, 3301, 850, 348, 5829, 11898, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3532, 68, 998, 31, 421, 17, 2086, 68, 835, 31, 421, 330, 204, 268, 320, 204, 268, 977, 275, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3532, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 3532, 19, 204, 268, 338, 2086, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2086, 2817, 19, 204, 268, 320, 204, 268, 370, 806, 1744, 68, 835, 289, 2086, 68, 835, 204, 268, 370, 806, 5625, 68, 998, 289, 3532, 68, 998, 204, 204, 264, 436, 636, 68, 9727, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 763, 275, 2558, 302, 275, 2364, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 2558, 19, 204, 268, 320, 204, 268, 980, 9936, 374, 204, 204, 264, 436, 16545, 68, 531, 13, 327, 17, 6934, 68, 4165, 17, 588, 31, 394, 289, 443, 14, 393, 1774, 19, 12558, 31, 204, 268, 320, 204, 268, 31905, 275, 2364, 440, 275, 2139, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 6934, 68, 4165, 31, 334, 2139, 2364, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 16545, 2661, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 12105, 2661, 496, 7787, 4434, 275, 11898, 19, 204, 268, 320, 204, 268, 6934, 68, 9727, 289, 6934, 68, 4165, 19, 505, 68, 9727, 374, 204, 268, 13393, 68, 9727, 289, 370, 19, 505, 68, 9727, 374, 204, 204, 268, 16545, 68, 6147, 289, 1306, 204, 204, 268, 440, 1774, 19, 417, 68, 8871, 13, 417, 17, 388, 4165, 528, 10336, 448, 588, 31, 204, 305, 348, 322, 6422, 68, 4415, 17, 13393, 68, 4415, 14, 292, 4337, 13, 6422, 68, 9727, 17, 13393, 68, 9727, 330, 204, 485, 16545, 68, 760, 289, 1774, 19, 12188, 13, 15880, 68, 4415, 17, 6934, 68, 4415, 14, 204, 485, 16545, 68, 6147, 19, 1223, 13, 13417, 68, 760, 14, 204, 204, 268, 407, 1774, 19, 2207, 4934, 13417, 68, 6147, 17, 588, 34, 417, 14, 204, 204, 204, 676, 415, 1268, 310, 7822, 13, 7822, 330, 204, 264, 320, 204, 264, 415, 1268, 310, 2364, 850, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3532, 68, 998, 31, 421, 17, 2086, 68, 835, 31, 421, 330, 204, 268, 320, 204, 268, 977, 275, 678, 3052, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3532, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 3532, 19, 204, 268, 338, 2086, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2086, 2817, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5625, 68, 998, 17, 2086, 68, 835, 14, 204, 268, 8995, 68, 417, 289, 283, 7, 1460, 68, 3052, 1859, 327, 806, 5625, 68, 998, 2495, 204, 268, 440, 1774, 19, 3334, 68, 8871, 13, 8871, 68, 417, 14, 448, 8995, 31, 204, 305, 314, 9389, 3093, 204, 305, 370, 19, 60, 22, 17, 370, 19, 71, 22, 289, 370, 806, 6586, 68, 3334, 1568, 1258, 17, 1132, 694, 204, 204, 305, 314, 4429, 424, 204, 305, 370, 19, 88, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 2665, 3603, 3170, 17, 435, 540, 43567, 68, 2956, 694, 204, 204, 305, 314, 23620, 19224, 2522, 204, 305, 373, 68, 6586, 22, 289, 1774, 19, 2606, 19, 5723, 13, 2987, 19, 15800, 13, 327, 19, 88, 17, 370, 19, 60, 22, 14, 465, 370, 19, 71, 22, 14, 204, 204, 305, 314, 13059, 2092, 204, 305, 26731, 289, 1774, 19, 2606, 19, 14968, 68, 4039, 19, 16624, 16794, 13446, 13, 29, 17, 1259, 68, 360, 68, 2644, 34, 1021, 14, 204, 204, 305, 314, 13194, 348, 4643, 919, 2522, 204, 305, 370, 19, 60, 23, 17, 370, 19, 71, 23, 289, 370, 806, 6586, 68, 3334, 1568, 29, 17, 43567, 68, 2956, 694, 204, 204, 305, 373, 68, 6586, 22, 289, 1774, 19, 6358, 13, 77, 68, 6586, 22, 17, 8308, 22, 17, 421, 13, 29483, 68, 57, 68, 5605, 659, 1132, 694, 204, 204, 305, 26731, 68, 7247, 17, 26731, 68, 1512, 289, 1774, 19, 2606, 19, 16520, 68, 14968, 13, 15283, 17, 373, 68, 6586, 22, 17, 204, 4157, 7263, 4798, 34, 2987, 19, 996, 2177, 17, 204, 4157, 7263, 8995, 34, 8871, 14, 204, 204, 305, 26731, 68, 7247, 289, 1774, 19, 6358, 13, 15283, 68, 7247, 17, 8308, 22, 17, 1132, 694, 204, 204, 305, 314, 15868, 322, 1420, 14, 204, 305, 370, 19, 976, 607, 68, 1460, 289, 1774, 19, 2606, 19, 11397, 13, 2987, 19, 15800, 13, 15283, 68, 7247, 17, 370, 19, 60, 23, 14, 465, 370, 19, 71, 23, 14, 204, 204, 305, 8995, 19, 47682, 68, 5592, 374, 204, 305, 370, 19, 60, 68, 15283, 289, 1774, 19, 505, 68, 3334, 499, 16624, 16794, 13446, 20, 6446, 20, 11767, 431, 204, 305, 370, 19, 71, 68, 15283, 289, 1774, 19, 505, 68, 3334, 499, 16624, 16794, 13446, 20, 6446, 20, 39, 3418, 431, 204, 204, 305, 370, 19, 7142, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 1512, 374, 204, 204, 264, 436, 7264, 68, 1512, 13, 327, 330, 204, 268, 320, 204, 268, 8715, 275, 1259, 302, 275, 2364, 19, 204, 268, 320, 204, 268, 370, 19, 15283, 68, 1512, 68, 607, 289, 1774, 19, 2606, 19, 14968, 68, 4039, 19, 16794, 5059, 2983, 13, 1123, 19, 4324, 1568, 22, 17, 1132, 5060, 204, 4157, 4511, 645, 19, 4324, 1568, 22, 17, 1132, 4513, 204, 204, 264, 436, 906, 6586, 68, 3334, 13, 327, 17, 2308, 68, 1827, 31, 458, 14, 393, 927, 31, 204, 268, 320, 204, 268, 666, 273, 8106, 4851, 1554, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2308, 68, 1827, 322, 655, 330, 334, 2665, 302, 275, 2308, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 927, 302, 3093, 329, 13311, 19, 204, 268, 320, 204, 268, 537, 68, 4588, 289, 2308, 68, 1827, 64, 21, 66, 204, 268, 919, 68, 4588, 289, 2308, 68, 1827, 64, 22, 66, 204, 268, 303, 289, 368, 19, 21, 802, 645, 19, 2514, 13, 768, 68, 4588, 14, 204, 268, 6458, 68, 1827, 289, 551, 1420, 68, 4588, 66, 204, 268, 2308, 289, 1774, 19, 8092, 13, 2987, 19, 2017, 68, 8745, 13, 3374, 68, 1827, 17, 47879, 8981, 73, 17, 42133, 34, 73, 602, 204, 268, 6458, 289, 1774, 19, 8092, 13, 2987, 19, 2017, 68, 8745, 13, 8168, 68, 1827, 17, 47879, 8981, 73, 17, 42133, 34, 73, 602, 204, 268, 407, 2308, 17, 6458, 204, 204, 264, 436, 7324, 68, 2650, 13, 327, 330, 204, 268, 320, 204, 268, 8254, 275, 2210, 741, 19, 204, 268, 320, 204, 268, 370, 19, 94, 68, 5015, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 2665, 3603, 3170, 17, 9060, 21425, 68, 57, 68, 5605, 17, 370, 806, 1744, 68, 835, 694, 204, 268, 370, 19, 2650, 68, 1460, 289, 1774, 19, 11659, 68, 3037, 13, 2987, 19, 2606, 19, 11397, 68, 9634, 68, 9450, 68, 2004, 68, 11792, 13, 11792, 34, 327, 19, 976, 607, 68, 1460, 17, 1769, 34, 327, 19, 94, 68, 5015, 602, 204, 268, 370, 19, 2650, 289, 370, 19, 2650, 68, 1460, 204, 204, 264, 436, 636, 68, 9727, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 763, 275, 2558, 302, 275, 2364, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 2558, 19, 204, 268, 320, 204, 268, 407, 551, 327, 19, 60, 22, 17, 370, 19, 71, 22, 17, 204, 485, 370, 19, 60, 68, 15283, 17, 370, 19, 71, 68, 15283, 17, 204, 485, 370, 19, 60, 23, 17, 370, 19, 71, 23, 66, 204, 204, 204, 676, 415, 1268, 310, 13000, 9928, 31, 204, 264, 320, 204, 264, 415, 1268, 310, 1737, 3532, 850, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3532, 68, 998, 31, 421, 17, 14441, 68, 748, 4576, 17, 4610, 68, 4165, 31, 415, 1268, 310, 7822, 330, 204, 268, 320, 204, 268, 977, 275, 678, 3052, 1737, 3532, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3532, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 3532, 19, 204, 268, 338, 14441, 68, 748, 4576, 31, 334, 6361, 740, 4576, 19, 204, 268, 338, 4610, 68, 4165, 31, 334, 4610, 2364, 19, 204, 268, 320, 204, 268, 370, 806, 5625, 68, 998, 289, 3532, 68, 998, 204, 268, 370, 19, 809, 289, 443, 226, 314, 977, 570, 204, 268, 370, 19, 4027, 68, 4165, 289, 415, 1268, 310, 7822, 13, 5625, 68, 998, 17, 43567, 68, 2956, 14, 204, 268, 370, 19, 4027, 68, 4165, 19, 14665, 68, 2650, 374, 204, 268, 370, 19, 4415, 68, 29587, 289, 551, 91, 806, 3484, 374, 348, 376, 292, 370, 19, 4027, 68, 4165, 19, 505, 68, 9727, 6485, 204, 268, 370, 19, 18368, 289, 1774, 19, 18368, 13, 204, 305, 370, 19, 4027, 68, 4165, 19, 2650, 17, 370, 19, 4415, 68, 29587, 17, 204, 305, 9297, 68, 18368, 34, 1975, 17, 204, 305, 20862, 68, 1939, 34, 3170, 17, 204, 305, 401, 19357, 68, 18368, 68, 2004, 68, 6147, 34, 1975, 14, 204, 268, 370, 19, 6774, 68, 18368, 289, 14441, 68, 748, 4576, 19, 6774, 68, 18368, 13, 204, 305, 4610, 68, 4165, 19, 505, 68, 9727, 2144, 204, 305, 370, 19, 18368, 14, 204, 268, 370, 19, 13417, 289, 370, 19, 4027, 68, 4165, 19, 13417, 68, 531, 13, 8313, 68, 4165, 14, 204, 204, 264, 436, 951, 13, 327, 17, 9897, 31, 1774, 19, 5191, 17, 5107, 68, 1155, 31, 645, 19, 766, 17, 3584, 68, 1155, 31, 645, 19, 766, 17, 5107, 68, 804, 68, 1155, 31, 645, 19, 766, 17, 3584, 68, 804, 68, 1155, 31, 645, 19, 766, 330, 204, 268, 320, 204, 268, 2672, 275, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 9897, 31, 334, 12105, 2067, 19, 204, 268, 338, 5107, 68, 1155, 31, 334, 5107, 1525, 19, 204, 268, 338, 3584, 68, 1155, 31, 334, 3584, 1525, 19, 204, 268, 338, 5107, 68, 804, 68, 1155, 31, 334, 683, 5107, 1525, 19, 204, 268, 338, 3584, 68, 804, 68, 1155, 31, 334, 683, 3584, 1525, 19, 204, 268, 320, 204, 268, 314, 13600, 275, 537, 424, 204, 268, 5107, 68, 1155, 68, 272, 289, 645, 19, 6358, 13, 3616, 68, 1155, 17, 771, 68, 1219, 68, 481, 14, 204, 268, 3584, 68, 1155, 68, 272, 289, 645, 19, 6358, 13, 5950, 68, 1155, 17, 551, 920, 68, 1219, 68, 481, 17, 435, 540, 43567, 68, 2956, 694, 204, 268, 5107, 68, 804, 68, 1155, 68, 272, 289, 645, 19, 6358, 13, 3616, 68, 804, 68, 1155, 17, 771, 68, 804, 68, 481, 14, 204, 268, 3584, 68, 804, 68, 1155, 68, 272, 289, 645, 19, 6358, 13, 5950, 68, 804, 68, 1155, 17, 551, 920, 68, 804, 68, 481, 17, 435, 540, 43567, 68, 2956, 694, 204, 204, 268, 314, 666, 273, 1051, 18, 5617, 4051, 302, 275, 5107, 204, 268, 273, 289, 645, 19, 4324, 1568, 920, 68, 1219, 68, 481, 17, 43567, 68, 2956, 694, 204, 268, 348, 300, 292, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 933, 13, 920, 68, 1219, 68, 481, 330, 204, 305, 273, 64, 83, 17, 421, 13, 3616, 68, 1155, 68, 272, 64, 83, 19094, 289, 368, 204, 268, 273, 289, 645, 19, 6358, 13, 70, 17, 551, 920, 68, 1219, 68, 481, 3166, 9060, 21425, 68, 57, 68, 5605, 17, 9060, 21425, 68, 57, 68, 5605, 17, 43567, 68, 2956, 694, 204, 204, 268, 314, 977, 275, 3666, 458, 204, 268, 814, 4434, 289, 1306, 204, 204, 268, 314, 2672, 275, 2364, 204, 268, 348, 296, 292, 933, 13, 339, 13, 920, 68, 1219, 68, 481, 3166, 2068, 68, 835, 3166, 9060, 21425, 68, 57, 68, 5605, 4019, 204, 305, 314, 31905, 275, 3221, 2364, 440, 275, 4610, 2364, 204, 305, 9897, 19, 1777, 13, 327, 19, 13417, 14, 204, 204, 305, 314, 3291, 275, 11431, 329, 636, 275, 2210, 204, 305, 6915, 2210, 68, 876, 289, 9897, 19, 1777, 1568, 327, 19, 6774, 68, 18368, 17, 370, 19, 4027, 68, 4165, 19, 2650, 648, 4182, 68, 873, 2508, 204, 485, 370, 19, 4027, 68, 4165, 19, 88, 31, 3584, 68, 1155, 68, 272, 64, 78, 540, 2068, 68, 835, 540, 9060, 21425, 68, 57, 68, 5605, 24082, 78, 465, 368, 14, 540, 2068, 68, 835, 540, 9060, 21425, 68, 57, 68, 5605, 17, 24083, 204, 485, 370, 19, 4027, 68, 4165, 19, 94, 68, 5015, 31, 273, 64, 78, 540, 2068, 68, 835, 24082, 78, 465, 368, 14, 540, 2068, 68, 835, 17, 8893, 10113, 1937, 204, 204, 305, 314, 763, 275, 919, 302, 275, 2364, 204, 305, 685, 289, 370, 19, 4027, 68, 4165, 19, 976, 607, 68, 1460, 19, 6844, 13, 2488, 34, 5338, 17, 4182, 68, 873, 2508, 327, 19, 4027, 68, 4165, 19, 88, 31, 3584, 68, 804, 68, 1155, 68, 272, 1937, 204, 204, 305, 314, 888, 275, 3666, 204, 305, 685, 68, 5015, 289, 645, 19, 11300, 13, 607, 17, 368, 14, 204, 305, 7417, 289, 645, 19, 3037, 13, 607, 68, 5015, 564, 5107, 68, 804, 68, 1155, 68, 272, 14, 204, 305, 814, 4434, 19, 1223, 13, 5015, 14, 204, 204, 305, 314, 1198, 275, 2210, 329, 3666, 204, 305, 397, 370, 806, 5625, 68, 998, 564, 500, 31, 204, 485, 456, 13, 75, 12, 9928, 463, 327, 806, 5625, 68, 998, 98, 2210, 463, 2650, 68, 876, 3501, 204, 485, 456, 13, 5015, 14, 204, 204, 305, 314, 8715, 275, 1259, 302, 275, 2364, 204, 305, 397, 296, 540, 9060, 21425, 68, 57, 68, 5605, 564, 771, 68, 1219, 68, 481, 3166, 13460, 31, 204, 485, 370, 19, 4027, 68, 4165, 19, 7142, 68, 1512, 374, 204, 204, 268, 314, 3025, 275, 3666, 311, 273, 510, 204, 268, 440, 1451, 13, 75, 7, 603, 481, 20, 5015, 1859, 327, 806, 5625, 68, 998, 3572, 3039, 528, 379, 92, 534, 448, 283, 31, 204, 305, 348, 7417, 292, 814, 4434, 31, 204, 485, 283, 19, 2206, 13, 325, 13, 5015, 14, 465, 7810, 83, 534, 204, 305, 283, 19, 3529, 374, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 12105, 2067, 204, 264, 9897, 289, 1774, 19, 5191, 374, 204, 204, 264, 314, 666, 273, 4610, 2364, 204, 264, 4610, 68, 4165, 289, 415, 1268, 310, 7822, 13, 21, 17, 43567, 68, 2956, 14, 204, 204, 264, 314, 666, 273, 6361, 740, 4576, 204, 264, 14441, 68, 748, 4576, 289, 1774, 19, 1219, 19, 39607, 13, 21, 19, 7585, 14, 204, 204, 264, 314, 666, 273, 678, 3052, 1737, 3532, 204, 264, 3532, 289, 415, 1268, 310, 13000, 9928, 13, 21, 17, 14441, 68, 748, 4576, 17, 4610, 68, 4165, 14, 204, 204, 264, 314, 977, 275, 2558, 204, 264, 9897, 19, 1777, 13, 2987, 19, 8313, 68, 5592, 68, 11873, 1447, 204, 204, 264, 314, 2672, 275, 2364, 204, 264, 3532, 19, 1219, 13, 5338, 17, 645, 19, 2017, 19, 2329, 13, 920, 68, 1219, 68, 481, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 1219, 68, 481, 17, 435, 540, 43567, 68, 2956, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 804, 68, 481, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 804, 68, 481, 17, 435, 540, 43567, 68, 2956, 602, 204, 0, 647, 4433, 204, 647, 5683, 204, 531, 11330, 19, 14643, 532, 636, 68, 18794, 68, 748, 17, 1523, 68, 18794, 68, 748, 204, 204, 8, 28356, 311, 838, 273, 683, 1545, 348, 275, 11330, 740, 204, 37, 6598, 19, 8999, 204, 461, 838, 68, 804, 68, 1723, 374, 393, 4433, 19, 9154, 19, 12865, 3368, 31, 204, 264, 320, 204, 264, 2605, 273, 683, 1545, 348, 275, 11330, 740, 19, 204, 204, 264, 9112, 31, 204, 268, 4433, 19, 9154, 19, 12865, 3368, 31, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 666, 275, 11330, 740, 204, 264, 740, 289, 636, 68, 18794, 68, 748, 374, 204, 264, 2136, 2381, 13, 748, 17, 4433, 19, 12865, 659, 388, 673, 11330, 740, 353, 508, 273, 3017, 1014, 7, 204, 204, 264, 314, 6153, 275, 740, 348, 2907, 204, 264, 740, 19, 1087, 1166, 41986, 1339, 289, 959, 204, 204, 264, 314, 666, 275, 683, 1545, 204, 264, 440, 740, 19, 804, 68, 1723, 374, 448, 1545, 31, 204, 268, 440, 740, 19, 748, 68, 3348, 1293, 204, 305, 4353, 1545, 204, 204, 204, 8, 1295, 496, 275, 740, 2584, 273, 2031, 1714, 1576, 204, 461, 683, 68, 748, 68, 1835, 68, 1181, 13, 1510, 68, 804, 68, 1723, 31, 4433, 19, 9154, 19, 12865, 3368, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 740, 2584, 273, 2031, 1714, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 838, 68, 804, 68, 1723, 322, 9879, 19, 9154, 19, 12865, 3368, 330, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1610, 1274, 204, 264, 958, 289, 838, 68, 804, 68, 1723, 19, 505, 19255, 204, 204, 264, 314, 4416, 496, 275, 1714, 1576, 353, 2031, 204, 264, 2136, 958, 19, 1835, 68, 1181, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 564, 2031, 17, 388, 673, 740, 3756, 508, 407, 273, 2031, 1714, 1576, 7, 204, 204, 204, 8, 1295, 496, 275, 740, 958, 3192, 275, 1812, 1666, 204, 461, 683, 68, 748, 68, 1935, 68, 2387, 13, 1510, 68, 804, 68, 1723, 31, 4433, 19, 9154, 19, 12865, 3368, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 740, 958, 3192, 275, 1812, 1666, 19, 204, 204, 264, 457, 31, 204, 268, 838, 68, 804, 68, 1723, 322, 9879, 19, 9154, 19, 12865, 3368, 330, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1610, 1274, 204, 264, 958, 289, 838, 68, 804, 68, 1723, 19, 505, 19255, 204, 204, 264, 314, 4416, 496, 275, 958, 3192, 275, 1812, 1666, 204, 264, 2136, 308, 7, 5975, 9851, 292, 958, 19, 481, 17, 388, 673, 740, 958, 1583, 508, 918, 275, 1812, 1666, 7, 204, 204, 204, 8, 1295, 496, 275, 5187, 7590, 4248, 2584, 275, 1812, 919, 204, 461, 683, 68, 7590, 68, 6182, 13, 3972, 4807, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 5187, 7590, 4248, 2584, 275, 1812, 919, 19, 204, 204, 264, 457, 31, 204, 268, 2737, 4807, 31, 334, 5656, 1561, 919, 11598, 19, 204, 264, 320, 204, 264, 314, 2466, 275, 11330, 740, 440, 275, 5187, 7590, 4248, 204, 264, 440, 5683, 19, 11688, 13, 8177, 17100, 14, 448, 908, 31, 204, 268, 1523, 68, 18794, 68, 748, 9792, 582, 7590, 3808, 204, 204, 264, 314, 19305, 275, 919, 204, 264, 10573, 17, 14125, 289, 2737, 4807, 19, 976, 607, 5823, 374, 204, 204, 264, 314, 4416, 496, 275, 5925, 1576, 353, 500, 204, 264, 2136, 908, 19, 876, 19, 1181, 564, 500, 17, 388, 673, 5187, 7590, 4248, 3756, 508, 5925, 440, 1576, 500, 7, 204, 204, 264, 314, 4416, 496, 275, 919, 7036, 440, 388, 11281, 29027, 204, 264, 2136, 10573, 19, 7209, 499, 11281, 2212, 17, 388, 673, 919, 1583, 508, 1012, 440, 379, 11281, 31, 27130, 204, 204, 264, 314, 4416, 496, 1422, 353, 1236, 908, 919, 204, 264, 2136, 14125, 564, 8897, 388, 2841, 353, 908, 919, 7, 204, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 204, 204, 8, 4861, 204, 26721, 68, 16779, 3096, 68, 15462, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 6355, 68, 15462, 289, 1127, 19, 546, 19, 1541, 13, 26721, 68, 16779, 3096, 68, 15462, 17, 388, 481, 68, 12142, 431, 204, 204, 8, 5448, 348, 10775, 424, 204, 6355, 68, 34579, 289, 463, 204, 264, 388, 14240, 68, 19735, 559, 379, 3189, 1963, 8750, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 1292, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 14240, 19735, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 3871, 559, 379, 3189, 1963, 8750, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 1292, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 3871, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 29673, 559, 379, 3189, 1963, 1292, 19, 41262, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 29673, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 38526, 559, 379, 3189, 1963, 1292, 19, 41262, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 38526, 19, 2039, 491, 204, 264, 388, 18919, 68, 481, 559, 388, 3189, 1963, 19665, 1794, 19, 18919, 19, 339, 20, 40247, 18, 38556, 18, 1794, 18, 8313, 18, 481, 19, 2039, 7, 204, 98, 204, 204, 8, 2462, 1987, 348, 14460, 424, 204, 3951, 68, 17026, 289, 463, 204, 264, 388, 14240, 68, 19735, 559, 379, 14240, 68, 2045, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 3871, 559, 379, 5950, 68, 14240, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 29673, 559, 379, 5950, 68, 14240, 68, 19450, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 38526, 559, 379, 5950, 68, 14240, 68, 42532, 68, 12142, 19, 2039, 491, 204, 264, 388, 18919, 68, 481, 559, 379, 18919, 68, 12142, 19, 2039, 12, 204, 98, 204, 204, 461, 3752, 68, 481, 13, 805, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 11244, 424, 497, 275, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 311, 3752, 424, 497, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 15801, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 3752, 424, 497, 275, 1274, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 805, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 10775, 204, 268, 456, 13, 75, 7, 596, 10775, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 3752, 68, 18919, 68, 481, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 11244, 27542, 424, 348, 36285, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 15801, 27542, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6579, 27542, 424, 204, 268, 1415, 68, 481, 289, 1246, 19, 976, 68, 2039, 13, 6355, 68, 34579, 1166, 18919, 68, 481, 3808, 204, 268, 314, 4863, 424, 348, 36285, 204, 268, 407, 1415, 68, 481, 19, 1229, 64, 18919, 68, 481, 736, 18035, 839, 564, 379, 51, 15227, 1257, 6970, 736, 3713, 68, 40479, 491, 379, 18035, 491, 379, 6001, 68, 3871, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 491, 379, 40, 32053, 68, 3871, 491, 379, 6001, 68, 29673, 491, 379, 40, 32053, 68, 29673, 11653, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 10775, 204, 268, 456, 13, 75, 7, 596, 10775, 27542, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 636, 68, 481, 374, 393, 783, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 11244, 830, 3600, 424, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 2600, 19, 1362, 744, 332, 458, 302, 15801, 424, 19, 204, 264, 320, 204, 264, 424, 289, 551, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 14240, 68, 19735, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 3871, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 29673, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 38526, 15100, 204, 268, 3752, 68, 18919, 68, 481, 374, 204, 264, 2437, 204, 264, 407, 424, 204, 204, 461, 1640, 68, 481, 13, 481, 31, 783, 64, 2600, 19, 1362, 694, 393, 443, 31, 204, 264, 320, 204, 264, 30479, 275, 15801, 424, 311, 2306, 1860, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1218, 64, 2600, 19, 1362, 1037, 332, 458, 302, 424, 311, 1640, 19, 204, 264, 320, 204, 264, 314, 666, 275, 424, 1445, 397, 490, 5409, 2964, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 6355, 68, 15462, 330, 204, 268, 1127, 19, 8240, 13, 6355, 68, 15462, 14, 204, 204, 264, 314, 6993, 848, 424, 2023, 311, 273, 2306, 510, 204, 264, 348, 296, 17, 2349, 292, 3209, 13, 481, 330, 204, 268, 397, 296, 564, 681, 31, 204, 305, 2349, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 15462, 17, 28267, 68, 17026, 1166, 18919, 68, 481, 15100, 1112, 34, 1975, 14, 204, 268, 902, 31, 204, 305, 2349, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 15462, 17, 28267, 68, 17026, 64, 655, 13, 3951, 68, 17026, 19, 3261, 26041, 78, 28541, 1112, 34, 1975, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 424, 289, 636, 68, 481, 374, 204, 264, 1640, 68, 481, 13, 481, 14, 204, 0, 38205, 3500, 990, 18673, 22858, 1001, 1002, 4348, 7744, 5340, 408, 2426, 5031, 18661, 19161, 942, 6658, 460, 20316, 59, 204, 27341, 408, 38205, 22858, 30115, 6810, 21161, 18084, 8075, 408, 38205, 22858, 2093, 15313, 11226, 9138, 18673, 22858, 408, 2499, 17280, 3784, 8342, 27659, 31947, 7624, 408, 5227, 12966, 16648, 4264, 35821, 6155, 568, 30510, 12869, 7782, 5381, 7509, 18, 9789, 4684, 4906, 10847, 460, 26456, 1398, 8075, 408, 38205, 22858, 7115, 1002, 1254, 48930, 1189, 7238, 10211, 408, 29608, 17576, 4499, 4228, 19768, 2436, 2638, 9255, 10361, 408, 12722, 4348, 7744, 5340, 408, 17202, 2494, 204, 27341, 408, 38205, 22858, 30115, 6810, 21161, 18084, 8075, 408, 38205, 22858, 2093, 15313, 11226, 9138, 990, 18673, 22858, 6681, 2499, 17280, 3784, 8342, 27659, 31947, 7624, 408, 5227, 12966, 16648, 4264, 35821, 6155, 568, 30510, 12869, 7782, 5381, 7509, 18, 9789, 4684, 4906, 10847, 460, 26456, 1398, 8075, 408, 38205, 22858, 7115, 1002, 1254, 48930, 1189, 7238, 10211, 408, 29608, 17576, 4499, 4228, 19768, 2436, 2638, 9255, 10361, 408, 12722, 4348, 7744, 5340, 408, 17202, 17979, 46830, 408, 2426, 5031, 18661, 10220, 942, 6658, 460, 20316, 59, 24630, 12185, 18543, 8464, 204, 4805, 1189, 990, 18673, 22858, 1001, 3812, 3167, 10144, 408, 6049, 6303, 921, 7427, 2426, 22978, 13636, 9516, 408, 42012, 38205, 22858, 3362, 24986, 408, 21511, 45650, 12175, 10368, 408, 854, 3944, 12966, 33640, 1111, 18673, 568, 2336, 14843, 2499, 8957, 9674, 23197, 1189, 990, 18673, 22858, 8464, 6810, 21161, 18084, 8075, 408, 1438, 6848, 7624, 7115, 4127, 2778, 5295, 22673, 11572, 408, 854, 38205, 22858, 460, 1458, 2034, 12927, 568, 204, 990, 2780, 26780, 2174, 1689, 19765, 460, 568, 1970, 2853, 19768, 22858, 10734, 408, 14843, 24257, 2780, 19765, 12676, 1002, 1490, 408, 6744, 19768, 22858, 568, 5643, 19768, 22858, 1970, 5227, 5002, 2730, 3500, 2382, 1111, 408, 3730, 2382, 1111, 568, 7782, 2780, 10531, 29797, 12722, 12776, 19768, 22858, 29797, 408, 19768, 22858, 35151, 854, 8695, 33868, 568, 6271, 2853, 2780, 12676, 35845, 18673, 22858, 6540, 6810, 21161, 18084, 2853, 408, 5768, 18673, 22858, 8957, 19582, 7059, 11035, 14843, 19765, 460, 568, 204, 38205, 9398, 22858, 5038, 408, 1456, 34083, 3854, 12582, 21590, 408, 3675, 27384, 16382, 3500, 5768, 10454, 3812, 38205, 22858, 12164, 6511, 9459, 1116, 7819, 7509, 8075, 408, 18673, 22858, 1603, 3854, 12582, 22858, 8437, 6583, 3606, 23316, 10220, 2426, 19137, 27384, 10332, 11691, 4129, 2359, 408, 2780, 8547, 27384, 17183, 7059, 9141, 6663, 408, 2218, 26572, 15609, 1926, 8085, 2853, 921, 9896, 22858, 408, 8085, 2853, 18992, 8437, 408, 2780, 7059, 9141, 11632, 30097, 6899, 13154, 11017, 6462, 10005, 408, 921, 38205, 1438, 6760, 9141, 4264, 5299, 11860, 17156, 4129, 2359, 408, 1527, 942, 9138, 6303, 725, 9138, 17321, 408, 6663, 6693, 2218, 12319, 8215, 10005, 21344, 7474, 5757, 20446, 21982, 6848, 408, 11204, 11691, 4771, 5309, 35558, 10734, 6540, 204, 17151, 10220, 1926, 13317, 4127, 17708, 7744, 5340, 17708, 4696, 6337, 1001, 1955, 19582, 831, 4762, 921, 23204, 8437, 14136, 1490, 408, 1886, 6693, 1946, 9398, 17535, 5626, 3733, 10644, 568, 8465, 408, 38205, 921, 9398, 22858, 8437, 38564, 408, 1456, 16806, 4323, 3632, 21707, 10454, 3812, 6810, 21161, 18084, 7479, 4311, 1111, 8957, 40177, 408, 2218, 8075, 9157, 2780, 4265, 38450, 11520, 4348, 5881, 5584, 4323, 3632, 25305, 5340, 6540, 204, 6810, 21161, 18084, 2853, 10220, 2780, 9141, 11095, 5844, 14328, 408, 2174, 14328, 1886, 9141, 15143, 7744, 854, 30933, 408, 6271, 2780, 1002, 19161, 27924, 3632, 568, 14464, 408, 6445, 40972, 2657, 7395, 1524, 6049, 2675, 28374, 27443, 408, 21210, 9826, 36549, 725, 11611, 1955, 408, 7782, 6049, 45500, 25361, 408, 7744, 21623, 2675, 11114, 568, 6878, 28374, 27443, 408, 2780, 9141, 4411, 7965, 854, 2174, 14328, 6540, 204, 11448, 408, 6462, 27384, 1456, 9092, 4323, 3632, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16019, 6303, 408, 8181, 6689, 30802, 6791, 3178, 568, 6810, 21161, 18084, 8075, 408, 9141, 4525, 6689, 18661, 460, 21137, 408, 5958, 8547, 18980, 27384, 7652, 408, 3601, 7880, 31441, 568, 204, 990, 17013, 408, 2780, 31085, 1111, 4144, 7251, 4241, 7420, 35288, 1789, 1227, 27384, 39708, 1789, 408, 6573, 1789, 7678, 17280, 6303, 29931, 725, 12966, 6658, 725, 3248, 22953, 22105, 5727, 28257, 6256, 13934, 568, 2766, 11004, 18980, 35091, 408, 2766, 19661, 11004, 8376, 16799, 1227, 12164, 23343, 9163, 568, 6573, 21137, 20813, 408, 6445, 1550, 11095, 7420, 2657, 408, 3038, 6583, 2093, 1345, 11095, 2174, 7420, 408, 16192, 4660, 5844, 3456, 568, 6271, 408, 2780, 19161, 7360, 942, 6658, 460, 20316, 59, 6540, 204, 6810, 21161, 18084, 29968, 408, 921, 37593, 1227, 13974, 5949, 408, 7115, 38205, 4265, 1902, 2526, 14281, 12253, 13974, 408, 8376, 854, 8547, 18992, 13974, 460, 28805, 408, 7782, 23989, 460, 28805, 408, 3601, 7652, 568, 2780, 16294, 6462, 13974, 12164, 13423, 408, 28493, 854, 10366, 7652, 408, 10644, 24084, 3675, 6445, 7557, 2780, 4660, 18980, 13974, 3523, 2034, 12037, 408, 6429, 13974, 23989, 12023, 22105, 5727, 26431, 5844, 408, 2780, 42109, 6462, 13974, 18661, 568, 35151, 2675, 7292, 2675, 7292, 408, 27449, 47001, 27449, 3650, 229, 408, 6445, 33667, 5562, 2675, 24029, 3601, 6142, 408, 12833, 22858, 30164, 17663, 19774, 6540, 204, 3500, 6689, 3622, 22858, 2570, 5522, 17991, 4987, 4068, 6689, 7858, 27384, 1227, 12966, 408, 17013, 1003, 2903, 408, 38205, 22858, 29608, 25869, 16865, 460, 12966, 9398, 19768, 2436, 24986, 3068, 408, 37602, 10852, 25669, 19084, 35607, 4852, 568, 204, 6810, 21161, 18084, 8075, 9157, 921, 30802, 8728, 408, 21711, 27659, 3733, 9703, 408, 2402, 13444, 2638, 17576, 26749, 408, 6445, 2853, 1527, 7395, 27443, 26431, 2174, 408, 1524, 38205, 35196, 568, 11204, 2780, 19390, 4684, 13251, 568, 3248, 22953, 12966, 921, 30113, 5201, 21904, 408, 2780, 27919, 3248, 22953, 30114, 725, 4411, 1390, 9784, 460, 12966, 29964, 460, 30114, 725, 12966, 16785, 42109, 17621, 22700, 408, 6429, 27384, 35860, 725, 27405, 11934, 8085, 8766, 16761, 1684, 3248, 22953, 22378, 408, 1456, 10513, 9169, 568, 2780, 3601, 14515, 2638, 9255, 19768, 408, 9536, 7238, 14168, 10859, 6540, 204, 2218, 8075, 408, 38205, 41976, 6689, 18661, 1227, 46830, 39552, 1550, 12198, 5002, 25246, 568, 5643, 12966, 4525, 2638, 9255, 17576, 27007, 9238, 408, 2780, 21756, 42109, 21178, 10717, 1227, 38636, 408, 7782, 4296, 27384, 4660, 41021, 3456, 725, 25500, 568, 921, 28450, 25869, 26749, 1946, 408, 6303, 921, 38205, 10531, 725, 24591, 408, 10434, 13399, 408, 22610, 21826, 19726, 38205, 22858, 8088, 408, 12319, 13399, 10844, 854, 10092, 19572, 460, 408, 6271, 11632, 10844, 17584, 568, 204, 6810, 21161, 18084, 6076, 408, 2218, 10011, 38205, 22858, 1946, 25326, 7238, 28987, 408, 4987, 5227, 6689, 18661, 2274, 7756, 19987, 24019, 4079, 568, 38205, 22858, 15789, 4045, 17087, 3560, 725, 35007, 12164, 14525, 5759, 15122, 18661, 10332, 408, 11962, 47186, 27384, 725, 12966, 460, 18661, 38636, 408, 12244, 9741, 1296, 124, 1296, 116, 20316, 59, 22842, 12833, 6689, 18661, 408, 1254, 27969, 2822, 7604, 10884, 2056, 3248, 5932, 568, 204, 29705, 38205, 19297, 10529, 36138, 408, 7267, 1565, 6689, 4239, 2849, 16294, 22, 19, 27, 12700, 408, 13421, 11007, 24379, 12037, 12122, 408, 7530, 24293, 19556, 12573, 25609, 46259, 1603, 12966, 3590, 1689, 5097, 15789, 5300, 3058, 4525, 3784, 21137, 22378, 5253, 25, 4330, 3183, 34013, 27405, 35860, 11934, 408, 48580, 9784, 2426, 9850, 1649, 105, 14808, 35860, 12966, 5253, 2188, 4330, 3151, 408, 23788, 1926, 9784, 35860, 12966, 5253, 35898, 3151, 568, 204, 6810, 21161, 18084, 8075, 408, 2218, 6371, 3131, 2174, 18673, 22858, 23217, 6010, 408, 3038, 5718, 1603, 21947, 942, 40412, 408, 1002, 10694, 1638, 831, 1398, 568, 38205, 22858, 2499, 1189, 18099, 27384, 4660, 15191, 8830, 5932, 408, 12037, 13284, 35968, 24986, 10844, 408, 1002, 3675, 27657, 12012, 17403, 10539, 7604, 12012, 14281, 10880, 1822, 20316, 59, 6744, 38205, 22858, 408, 1367, 4660, 3941, 3632, 2174, 2654, 24630, 38205, 22858, 6540, 6810, 21161, 18084, 2853, 568, 0, 647, 1127, 204, 647, 2454, 204, 531, 24790, 19, 936, 532, 38543, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 824, 17, 2566, 68, 531, 68, 2100, 204, 531, 309, 37222, 532, 8775, 204, 647, 309, 37222, 19, 809, 448, 570, 1825, 204, 531, 309, 37222, 532, 8603, 204, 531, 309, 37222, 19, 1087, 532, 2937, 204, 204, 8, 4861, 204, 676, 4861, 31, 204, 264, 320, 7554, 1376, 7870, 275, 1650, 1279, 204, 264, 21025, 68, 4887, 289, 1127, 19, 14702, 374, 204, 264, 13158, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 10642, 68, 4887, 17, 388, 2936, 431, 204, 264, 30184, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 10642, 68, 4887, 17, 388, 8236, 431, 204, 264, 30184, 68, 4082, 289, 1127, 19, 546, 19, 1541, 13, 9534, 68, 4887, 17, 388, 3497, 68, 37222, 68, 19298, 24, 19, 77, 26, 431, 204, 204, 8, 21075, 361, 19965, 1586, 204, 676, 23348, 2108, 13, 2108, 330, 204, 264, 320, 9515, 348, 1737, 523, 275, 1485, 1279, 204, 264, 27442, 289, 388, 19298, 7, 204, 264, 12526, 68, 9763, 289, 368, 204, 264, 382, 2097, 19285, 68, 6959, 68, 22690, 289, 368, 204, 264, 10028, 68, 15176, 289, 368, 465, 368, 226, 314, 5665, 465, 26735, 204, 264, 41675, 68, 2313, 2421, 1452, 68, 4586, 14138, 289, 322, 29, 17, 2247, 17, 5737, 17, 7569, 17, 7328, 14, 226, 314, 12205, 1653, 292, 9685, 204, 264, 29147, 68, 2267, 6906, 68, 6959, 68, 8440, 289, 11818, 204, 264, 20432, 5354, 68, 6959, 68, 13425, 289, 2031, 204, 204, 676, 39425, 2108, 13, 4872, 5861, 2108, 330, 204, 264, 320, 9515, 348, 12849, 1279, 204, 264, 12526, 68, 9763, 289, 368, 204, 264, 382, 2097, 19285, 68, 6959, 68, 22690, 289, 368, 204, 264, 412, 2166, 42, 7482, 68, 6930, 68, 42807, 39887, 289, 500, 19, 30, 204, 204, 8, 1385, 21075, 361, 19965, 570, 204, 461, 1137, 68, 809, 374, 393, 570, 1825, 19, 22343, 43712, 31, 204, 264, 320, 204, 264, 1385, 275, 21075, 361, 19965, 570, 19, 204, 204, 264, 475, 31, 204, 268, 570, 1825, 19, 22343, 43712, 31, 334, 3271, 21075, 361, 19965, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 570, 19, 204, 264, 320, 204, 264, 12849, 68, 1087, 289, 39425, 2108, 374, 204, 264, 570, 289, 570, 1825, 19, 22343, 43712, 13, 3607, 1022, 20361, 528, 954, 34, 20361, 68, 1087, 17, 570, 68, 1217, 34, 7554, 19, 9534, 68, 4887, 14, 204, 264, 570, 19, 986, 68, 3815, 13, 7554, 19, 9534, 68, 4082, 17, 560, 68, 417, 34, 1021, 14, 204, 264, 407, 570, 204, 204, 8, 9557, 2828, 292, 437, 752, 204, 461, 4522, 68, 2856, 13, 935, 68, 546, 31, 394, 17, 570, 31, 570, 1825, 19, 22343, 43712, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 9557, 2828, 292, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 268, 570, 322, 809, 1825, 19, 22343, 43712, 330, 334, 21075, 361, 19965, 570, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 7151, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 752, 204, 264, 752, 289, 38543, 13, 935, 68, 546, 14, 204, 615, 264, 314, 9557, 2828, 292, 275, 752, 204, 264, 1563, 289, 570, 19, 11283, 1568, 935, 648, 2874, 34, 22, 14, 204, 615, 264, 407, 1563, 64, 21, 66, 204, 204, 8, 3025, 7151, 1563, 204, 461, 2106, 68, 2826, 13, 935, 68, 546, 31, 394, 17, 1563, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 7151, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 268, 1563, 322, 873, 330, 334, 7151, 1563, 19, 204, 264, 320, 204, 264, 314, 763, 275, 752, 588, 204, 264, 752, 68, 417, 289, 1127, 19, 546, 19, 17752, 13, 935, 68, 546, 5604, 21, 66, 204, 615, 264, 314, 778, 397, 275, 752, 588, 10045, 440, 12895, 6906, 7, 204, 264, 397, 508, 752, 68, 417, 19, 9641, 22361, 6906, 6471, 204, 268, 314, 12626, 275, 7151, 1563, 204, 268, 9066, 289, 8603, 19, 2994, 68, 12270, 13, 10465, 13, 935, 68, 546, 659, 1563, 736, 40301, 2043, 1563, 736, 15719, 2043, 1563, 736, 676, 68, 1915, 2043, 3134, 35990, 528, 388, 5365, 2869, 1563, 736, 4319, 2378, 204, 822, 268, 314, 3025, 275, 17574, 204, 268, 9066, 19, 12273, 13, 935, 68, 417, 465, 12895, 6906, 19, 5684, 528, 14185, 68, 22520, 1022, 14923, 528, 5258, 68, 22520, 34, 21, 14, 204, 204, 8, 3017, 1650, 204, 748, 289, 3017, 3843, 417, 4422, 204, 8558, 68, 10642, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 204, 8, 666, 275, 752, 1445, 397, 490, 1583, 508, 1337, 204, 403, 508, 1127, 19, 546, 19, 16249, 13, 865, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 15357, 330, 204, 264, 1127, 19, 13986, 13, 865, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 20, 3063, 204, 204, 37, 748, 19, 3955, 12394, 204, 461, 2941, 374, 393, 394, 31, 204, 264, 320, 204, 264, 334, 2941, 1472, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 19, 204, 264, 320, 204, 264, 407, 2111, 68, 3143, 611, 7488, 19, 2079, 534, 204, 204, 37, 748, 19, 3955, 6343, 7488, 528, 2986, 8090, 4252, 528, 379, 5016, 2378, 204, 461, 5991, 374, 393, 394, 31, 204, 264, 320, 204, 264, 334, 5991, 1472, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 19, 204, 264, 320, 204, 264, 1029, 289, 1127, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 15357, 204, 615, 264, 314, 763, 275, 10460, 1860, 204, 264, 348, 5991, 292, 824, 19, 2375, 19, 505, 655, 499, 553, 6471, 204, 268, 2049, 289, 5991, 19, 2029, 204, 268, 4297, 289, 1127, 19, 546, 19, 1541, 13, 2170, 17, 2049, 14, 204, 268, 5991, 19, 2360, 13, 8480, 14, 204, 615, 264, 314, 1385, 275, 570, 204, 264, 570, 289, 1137, 68, 809, 374, 204, 615, 264, 314, 9557, 2828, 292, 275, 10460, 2388, 204, 264, 348, 752, 68, 546, 292, 1127, 19, 8970, 13, 7554, 19, 8440, 68, 4887, 330, 204, 268, 752, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7554, 19, 8440, 68, 4887, 17, 752, 68, 546, 14, 204, 268, 1563, 289, 4522, 68, 2856, 13, 935, 68, 546, 17, 570, 14, 204, 268, 2106, 68, 2826, 13, 935, 68, 546, 17, 1563, 14, 204, 615, 264, 314, 763, 275, 752, 1987, 204, 264, 752, 68, 2199, 289, 1127, 19, 8970, 13, 7554, 19, 8440, 68, 4887, 14, 204, 615, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 752, 68, 2199, 34, 935, 68, 2199, 14, 204, 204, 37, 748, 19, 3955, 4195, 7488, 8121, 2029, 16906, 204, 461, 2566, 68, 935, 13, 2029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 2878, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2312, 752, 19, 204, 264, 320, 204, 264, 407, 2566, 68, 531, 68, 2100, 499, 2936, 528, 2049, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 647, 1127, 204, 531, 1498, 532, 1535, 204, 204, 676, 9258, 2108, 31, 204, 264, 320, 204, 264, 9258, 1586, 2557, 19, 204, 204, 264, 1058, 850, 11040, 13515, 329, 1950, 18, 14260, 1586, 2557, 348, 275, 1650, 19, 204, 264, 30133, 1536, 1483, 1702, 448, 14180, 329, 1893, 3583, 529, 3271, 497, 1964, 2558, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 314, 1385, 13515, 1483, 497, 1964, 2558, 204, 268, 370, 19, 4159, 68, 2574, 31, 394, 289, 379, 4159, 12, 204, 268, 370, 19, 4159, 68, 1989, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 25430, 68, 9778, 534, 204, 268, 370, 19, 5051, 31, 394, 289, 379, 7941, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5051, 19, 1453, 12, 204, 268, 370, 19, 1479, 68, 553, 31, 394, 289, 5014, 5189, 20, 3515, 3677, 19, 1479, 12, 204, 268, 370, 19, 25768, 68, 644, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 39645, 68, 4617, 534, 204, 268, 370, 19, 25768, 68, 8076, 68, 359, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 39645, 68, 46974, 68, 1701, 534, 204, 204, 264, 436, 3893, 68, 1087, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3866, 275, 1586, 2557, 19, 204, 204, 268, 1058, 1216, 5377, 397, 830, 1945, 1586, 2557, 529, 3113, 19, 204, 268, 320, 204, 268, 1945, 68, 3282, 289, 2470, 4159, 68, 1989, 491, 379, 25768, 68, 644, 491, 379, 25768, 68, 8076, 68, 359, 839, 204, 268, 348, 5465, 292, 1945, 68, 3282, 31, 204, 305, 397, 508, 10175, 13, 327, 17, 5465, 330, 204, 485, 980, 987, 13, 75, 7, 14344, 1945, 1586, 5465, 31, 463, 12825, 743, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 1586, 2557, 19, 204, 204, 268, 1058, 1216, 2584, 273, 782, 2355, 302, 275, 1586, 2557, 17, 16533, 13515, 1483, 19, 204, 268, 320, 204, 268, 407, 283, 7, 42112, 13, 4159, 68, 2574, 11607, 327, 19, 4159, 68, 2574, 7798, 4064, 11607, 327, 19, 5051, 7798, 1863, 68, 553, 11607, 327, 19, 1479, 68, 553, 21121, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 954, 289, 9258, 2108, 374, 204, 264, 954, 19, 5542, 68, 1087, 374, 204, 264, 456, 13, 1087, 14, 204, 0, 647, 1875, 204, 647, 1127, 204, 647, 690, 204, 531, 1498, 532, 783, 204, 204, 647, 10987, 204, 531, 10987, 19, 1219, 532, 23190, 204, 531, 10987, 19, 1219, 19, 11610, 19, 8575, 7387, 478, 19, 8575, 7387, 478, 68, 2569, 532, 322, 204, 264, 951, 68, 4266, 448, 4057, 7387, 478, 68, 3109, 68, 1219, 68, 4266, 17, 204, 14, 204, 204, 461, 5345, 68, 549, 13, 2820, 31, 394, 289, 388, 4881, 431, 393, 443, 31, 204, 264, 320, 204, 264, 977, 275, 22264, 1964, 19, 204, 204, 264, 457, 31, 204, 268, 1995, 322, 325, 330, 334, 1995, 311, 732, 348, 22264, 7934, 19, 1243, 311, 388, 4881, 2948, 204, 264, 320, 204, 264, 314, 977, 275, 22264, 1964, 440, 275, 800, 1995, 204, 264, 10987, 19, 924, 13, 2820, 34, 2820, 14, 204, 204, 461, 951, 68, 809, 13, 920, 68, 8938, 31, 421, 17, 771, 68, 7064, 31, 421, 14, 393, 783, 64, 1218, 64, 996, 2440, 204, 264, 320, 204, 264, 2672, 273, 570, 974, 275, 14502, 7387, 478, 11136, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 8938, 322, 339, 330, 334, 542, 302, 7809, 311, 732, 348, 1737, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 348, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 996, 2440, 332, 458, 302, 1737, 1563, 348, 848, 7259, 19, 204, 264, 320, 204, 264, 314, 666, 273, 14502, 7387, 478, 11136, 440, 275, 1713, 542, 302, 7809, 204, 264, 11136, 289, 23190, 499, 8575, 7387, 478, 528, 771, 68, 8938, 14, 204, 615, 264, 810, 31, 204, 268, 314, 4055, 275, 11136, 204, 268, 11136, 19, 1530, 374, 204, 822, 268, 314, 2466, 275, 1737, 741, 440, 275, 1713, 1586, 204, 268, 1563, 289, 11136, 19, 1777, 13, 204, 305, 4057, 7387, 478, 68, 3109, 68, 1219, 68, 4266, 17, 716, 305, 954, 10703, 920, 68, 7064, 559, 771, 68, 7064, 17, 388, 7350, 559, 368, 74, 18, 24, 98, 204, 268, 1179, 204, 264, 6666, 31, 204, 268, 314, 9251, 275, 11136, 353, 12262, 1873, 204, 268, 11136, 19, 20425, 374, 204, 615, 264, 407, 1563, 204, 204, 461, 3893, 68, 2826, 13, 2826, 31, 783, 64, 1218, 64, 996, 4395, 771, 68, 8938, 31, 421, 17, 771, 68, 7064, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3866, 275, 1737, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1563, 322, 1218, 64, 1218, 64, 996, 3795, 334, 458, 302, 1737, 1563, 348, 848, 7259, 19, 204, 268, 771, 68, 8938, 322, 339, 330, 334, 542, 302, 7809, 1376, 348, 1737, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 6020, 348, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 542, 302, 1563, 4083, 275, 542, 302, 7809, 204, 264, 2136, 1245, 13, 2826, 14, 564, 771, 68, 8938, 204, 615, 264, 314, 3866, 275, 1563, 348, 848, 7259, 204, 264, 348, 7259, 68, 1300, 292, 1563, 31, 204, 268, 314, 778, 397, 275, 542, 302, 6175, 4083, 275, 1812, 700, 204, 268, 2136, 1245, 13, 11678, 68, 1300, 14, 564, 771, 68, 7064, 204, 822, 268, 314, 778, 397, 275, 2210, 14279, 1048, 690, 204, 268, 2136, 7259, 68, 1300, 64, 920, 68, 7064, 338, 368, 66, 962, 7259, 68, 1300, 64, 21, 66, 204, 204, 461, 2281, 68, 1420, 68, 553, 13, 4336, 31, 818, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 19, 204, 204, 264, 457, 31, 204, 268, 6189, 322, 996, 330, 334, 1737, 690, 292, 3331, 19, 204, 268, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 320, 204, 264, 314, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 204, 264, 440, 1451, 13, 1420, 68, 553, 17, 388, 92, 431, 448, 283, 31, 204, 268, 283, 19, 2206, 13, 1775, 19, 7362, 7075, 1219, 68, 834, 559, 6189, 17, 388, 5937, 559, 959, 24063, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 22264, 1995, 497, 275, 1964, 1554, 521, 732, 275, 1540, 700, 204, 264, 1995, 289, 1127, 19, 4969, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 505, 499, 37237, 68, 18291, 528, 388, 4881, 431, 204, 615, 264, 314, 977, 275, 22264, 1964, 204, 264, 5345, 68, 549, 13, 2820, 14, 204, 204, 264, 314, 968, 275, 542, 302, 7809, 329, 6175, 204, 264, 771, 68, 8938, 289, 1132, 204, 264, 771, 68, 7064, 289, 931, 204, 615, 264, 314, 9363, 275, 1012, 690, 204, 264, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 1563, 289, 951, 68, 809, 13, 920, 68, 8938, 17, 771, 68, 7064, 14, 204, 615, 264, 314, 3866, 275, 1563, 204, 264, 3893, 68, 2826, 13, 2826, 17, 771, 68, 8938, 17, 771, 68, 7064, 14, 204, 615, 264, 314, 888, 275, 1737, 690, 204, 264, 6189, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 615, 264, 314, 763, 275, 919, 510, 832, 497, 275, 1964, 1554, 204, 264, 919, 68, 553, 289, 1127, 19, 4969, 1166, 8004, 68, 11927, 68, 7261, 1339, 204, 615, 264, 314, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 204, 264, 2281, 68, 1420, 68, 553, 13, 4336, 17, 919, 68, 553, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 531, 9688, 532, 4028, 3150, 204, 204, 461, 838, 68, 16810, 68, 2100, 13, 3112, 68, 2100, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 12622, 1445, 440, 275, 1729, 4147, 448, 275, 2139, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 2139, 68, 2100, 322, 325, 330, 334, 832, 311, 275, 2139, 1445, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 2139, 1445, 1583, 508, 1337, 19, 204, 268, 4275, 3007, 78, 1056, 596, 31, 828, 275, 2139, 1445, 353, 508, 273, 1097, 1445, 19, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 275, 1445, 23731, 1352, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2139, 1445, 2560, 329, 353, 273, 1097, 1445, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 3112, 68, 2100, 330, 204, 268, 980, 3180, 13, 75, 7, 673, 2139, 1445, 3318, 3112, 68, 2100, 2867, 1583, 508, 1337, 1280, 204, 264, 397, 508, 1127, 19, 546, 19, 16249, 13, 3112, 68, 2100, 330, 204, 268, 980, 4275, 3007, 78, 1056, 596, 13, 75, 7, 673, 2139, 1445, 3318, 3112, 68, 2100, 2867, 353, 508, 273, 1097, 1445, 1280, 204, 204, 264, 314, 666, 275, 12622, 1445, 588, 204, 264, 12622, 68, 2100, 289, 283, 1954, 3112, 68, 2100, 3572, 71, 934, 7, 204, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 12622, 1445, 2861, 2560, 204, 268, 397, 1127, 19, 546, 19, 4332, 13, 16810, 68, 2100, 330, 204, 305, 980, 45734, 13, 75, 7, 673, 12622, 1445, 3318, 16810, 68, 2100, 2867, 2861, 2560, 1280, 204, 204, 268, 314, 10235, 275, 2139, 1445, 311, 275, 12622, 1445, 204, 268, 4028, 3150, 13, 3112, 68, 2100, 17, 12622, 68, 2100, 14, 204, 268, 456, 13, 75, 7, 44086, 1445, 3318, 16810, 68, 2100, 2867, 1966, 4073, 1280, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1445, 23731, 1352, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 9918, 275, 2139, 1445, 204, 264, 2139, 68, 2100, 289, 379, 76, 4635, 68, 12041, 12, 204, 264, 838, 68, 16810, 68, 2100, 13, 3112, 68, 2100, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 204, 647, 9456, 204, 531, 3747, 23, 19, 31697, 532, 622, 702, 44960, 17, 455, 6714, 79, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 2428, 68, 3309, 68, 32057, 68, 3823, 13, 204, 264, 1419, 68, 93, 31, 818, 17, 716, 264, 1419, 68, 94, 31, 818, 17, 716, 264, 1419, 68, 3907, 31, 818, 17, 716, 264, 3542, 68, 7182, 31, 818, 17, 716, 264, 9955, 68, 7182, 31, 818, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 29297, 275, 379, 3309, 68, 32057, 12, 3158, 329, 2584, 275, 610, 329, 469, 1728, 302, 275, 11974, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 93, 322, 996, 330, 334, 1419, 610, 18, 3936, 302, 275, 794, 22362, 19, 204, 268, 1419, 68, 94, 322, 996, 330, 334, 1419, 469, 18, 3936, 302, 275, 794, 22362, 19, 204, 268, 1419, 68, 3907, 322, 996, 330, 334, 1419, 11640, 302, 275, 794, 22362, 19, 204, 268, 3542, 68, 7182, 322, 996, 330, 334, 3542, 3581, 302, 275, 794, 22362, 19, 204, 268, 9955, 68, 7182, 322, 996, 330, 334, 9955, 3581, 302, 275, 794, 22362, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 610, 329, 469, 1728, 302, 275, 11974, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 379, 3309, 68, 32057, 12, 3158, 311, 444, 2755, 204, 264, 9456, 19, 5940, 68, 1538, 68, 3823, 611, 3309, 68, 32057, 534, 204, 615, 264, 810, 31, 204, 268, 314, 666, 273, 3158, 7852, 348, 275, 379, 3309, 68, 32057, 12, 3158, 204, 268, 407, 68, 32057, 289, 9456, 19, 5619, 16955, 611, 3309, 68, 32057, 491, 455, 6714, 79, 14, 204, 822, 268, 314, 4889, 275, 379, 3309, 68, 32057, 12, 3158, 440, 275, 800, 2072, 204, 268, 9564, 289, 407, 68, 32057, 13, 3474, 68, 93, 17, 1419, 68, 94, 17, 1419, 68, 3907, 17, 3542, 68, 7182, 17, 9955, 68, 7182, 14, 204, 822, 268, 314, 455, 275, 610, 329, 469, 1728, 302, 275, 11974, 204, 268, 407, 9564, 19, 93, 68, 32057, 17, 9564, 19, 94, 68, 32057, 204, 615, 264, 827, 9456, 19, 5619, 2940, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 397, 275, 3158, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 5619, 508, 1193, 31, 463, 74, 743, 204, 268, 407, 443, 17, 443, 204, 204, 204, 461, 1807, 68, 17777, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 93, 68, 2160, 31, 458, 17, 469, 68, 2160, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 11974, 302, 275, 794, 22362, 570, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 2160, 322, 655, 330, 332, 458, 302, 610, 18, 5099, 302, 275, 11974, 19, 204, 268, 469, 68, 2160, 322, 655, 330, 332, 458, 302, 469, 18, 5099, 302, 275, 11974, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 348, 275, 1807, 204, 264, 1513, 19, 7208, 374, 204, 615, 264, 314, 1359, 275, 1724, 329, 1769, 348, 275, 1807, 204, 264, 1513, 19, 1778, 499, 3739, 22362, 3746, 4964, 8559, 431, 204, 264, 1513, 19, 7246, 499, 61, 18, 39289, 322, 82, 12008, 204, 264, 1513, 19, 7127, 499, 62, 18, 39289, 322, 82, 12008, 204, 615, 264, 314, 3045, 275, 11974, 204, 264, 1513, 19, 1657, 13, 93, 68, 2160, 17, 469, 68, 2160, 17, 1848, 1022, 747, 528, 5405, 34, 21, 19, 3534, 14, 204, 615, 264, 314, 3740, 275, 2333, 204, 264, 1513, 19, 2700, 374, 204, 615, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1419, 2072, 348, 275, 794, 22362, 204, 264, 1419, 68, 93, 289, 500, 19, 21, 204, 264, 1419, 68, 94, 289, 500, 19, 21, 204, 264, 1419, 68, 3907, 289, 500, 19, 21, 204, 264, 3542, 68, 7182, 289, 368, 19, 21, 204, 264, 9955, 68, 7182, 289, 500, 19, 26, 204, 615, 264, 314, 4889, 275, 379, 3309, 68, 32057, 12, 3158, 329, 636, 275, 11974, 1728, 204, 264, 610, 68, 2160, 17, 469, 68, 2160, 289, 2428, 68, 3309, 68, 32057, 68, 3823, 13, 3474, 68, 93, 17, 1419, 68, 94, 17, 1419, 68, 3907, 17, 3542, 68, 7182, 17, 9955, 68, 7182, 14, 204, 615, 264, 314, 778, 397, 275, 11974, 1728, 529, 1097, 204, 264, 397, 610, 68, 2160, 353, 508, 443, 329, 469, 68, 2160, 353, 508, 443, 31, 204, 268, 314, 3045, 275, 11974, 204, 268, 1807, 68, 17777, 13, 93, 68, 2160, 17, 469, 68, 2160, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 2010, 19, 365, 448, 425, 204, 647, 5683, 204, 531, 13830, 532, 21796, 204, 204, 461, 4407, 68, 1300, 13, 4800, 68, 553, 31, 394, 330, 204, 264, 320, 204, 264, 27107, 311, 4407, 275, 722, 302, 273, 741, 19, 204, 204, 264, 457, 31, 204, 264, 4407, 68, 553, 322, 325, 330, 334, 510, 832, 311, 1640, 275, 13872, 722, 19, 204, 204, 264, 475, 31, 204, 264, 332, 11820, 496, 40630, 275, 722, 302, 275, 741, 19, 204, 264, 320, 204, 264, 436, 11820, 13, 4266, 330, 204, 268, 1642, 21162, 13, 4266, 14, 204, 268, 436, 9073, 4934, 1038, 17, 930, 2251, 330, 204, 305, 314, 778, 397, 275, 4407, 510, 2560, 204, 305, 397, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 330, 204, 485, 314, 1385, 275, 13872, 722, 204, 485, 407, 645, 19, 986, 13, 4800, 68, 553, 17, 2512, 68, 11350, 34, 1021, 14, 204, 305, 902, 31, 204, 485, 314, 3963, 275, 722, 329, 4407, 490, 204, 485, 722, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 485, 645, 19, 2360, 13, 4800, 68, 553, 17, 722, 14, 204, 485, 407, 722, 204, 268, 407, 9073, 204, 264, 407, 11820, 204, 204, 461, 1900, 68, 643, 13, 2345, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2069, 273, 12913, 1348, 1609, 523, 275, 537, 4601, 19, 204, 204, 264, 457, 31, 204, 264, 2571, 322, 339, 330, 334, 537, 4601, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 4489, 12913, 1348, 19, 204, 264, 320, 204, 264, 397, 2571, 564, 368, 31, 204, 268, 407, 645, 19, 643, 1568, 22, 17, 435, 17, 571, 694, 204, 264, 902, 31, 204, 268, 407, 645, 19, 643, 1568, 23, 17, 571, 17, 681, 694, 204, 204, 461, 1900, 68, 23219, 68, 643, 13, 2345, 31, 421, 14, 393, 425, 19, 23219, 68, 643, 31, 204, 264, 320, 204, 264, 2069, 273, 18384, 1348, 1609, 523, 275, 537, 4601, 19, 204, 204, 264, 457, 31, 204, 264, 2571, 322, 339, 330, 334, 537, 4601, 19, 204, 204, 264, 475, 31, 204, 264, 425, 19, 23219, 68, 643, 31, 334, 4489, 18384, 1348, 19, 204, 264, 320, 204, 264, 397, 2571, 564, 368, 31, 204, 268, 407, 425, 19, 23219, 68, 4597, 1568, 21, 17, 368, 17, 435, 648, 500, 14, 204, 264, 902, 31, 204, 268, 407, 425, 19, 23219, 68, 4597, 1568, 22, 17, 435, 17, 571, 648, 500, 14, 204, 204, 461, 683, 68, 19414, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 12913, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 461, 683, 68, 19414, 68, 23219, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 18384, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 23219, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 461, 683, 68, 19414, 68, 5770, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 12913, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 5683, 19, 660, 27323, 553, 27178, 204, 0, 647, 1875, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 1061, 204, 204, 647, 5683, 204, 647, 9564, 93, 204, 531, 4778, 93, 532, 4899, 204, 204, 531, 769, 4158, 94, 68, 6439, 19, 3107, 4878, 68, 6439, 532, 3431, 4158, 94, 9526, 204, 204, 461, 636, 68, 23481, 68, 2100, 374, 393, 2621, 31, 204, 264, 320, 204, 264, 475, 275, 1445, 1174, 275, 23443, 19, 204, 204, 264, 475, 31, 204, 268, 2621, 31, 334, 1445, 1174, 275, 23443, 19, 204, 264, 320, 204, 264, 407, 2621, 3843, 553, 21460, 3619, 802, 388, 23481, 7, 204, 204, 461, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 31, 394, 17, 588, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 5984, 273, 2084, 11598, 497, 275, 23443, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 11598, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 334, 3271, 2084, 11598, 19, 204, 264, 320, 204, 264, 11598, 68, 546, 289, 636, 68, 23481, 68, 2100, 374, 802, 32788, 68, 2256, 802, 588, 204, 264, 440, 1451, 13, 8999, 68, 546, 17, 388, 87, 431, 448, 510, 31, 204, 268, 407, 1875, 19, 986, 13, 553, 14, 204, 204, 461, 3219, 68, 494, 11930, 68, 6026, 88, 13, 46639, 68, 2256, 31, 394, 17, 2255, 68, 266, 419, 1008, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 9564, 93, 4306, 88, 348, 275, 683, 19, 204, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 2255, 68, 266, 419, 1008, 322, 2107, 330, 2266, 311, 2255, 292, 419, 1008, 292, 275, 683, 19, 204, 264, 320, 204, 264, 314, 7614, 275, 802, 1270, 19, 5153, 4584, 204, 264, 9564, 93, 19, 505, 6343, 1270, 19, 5153, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1068, 34, 282, 602, 204, 204, 264, 314, 7614, 275, 802, 16305, 19, 1775, 4584, 204, 264, 9564, 93, 19, 505, 6343, 16305, 19, 1775, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 7793, 602, 204, 204, 264, 314, 7614, 275, 802, 2005, 20, 91, 22, 20, 16305, 4584, 204, 264, 5627, 68, 8999, 289, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 17, 388, 2005, 68, 91, 22, 68, 16305, 431, 204, 264, 9564, 93, 19, 505, 6343, 2005, 20, 91, 22, 20, 16305, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1875, 34, 16305, 68, 8999, 602, 204, 204, 264, 314, 7614, 275, 802, 2005, 20, 91, 22, 20, 16305, 20, 266, 419, 1008, 4584, 397, 2255, 68, 266, 419, 1008, 353, 959, 204, 264, 397, 2255, 68, 266, 419, 1008, 31, 204, 268, 292, 419, 1008, 68, 8999, 289, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 17, 388, 2005, 68, 91, 22, 68, 16305, 68, 266, 419, 1008, 431, 204, 268, 9564, 93, 19, 505, 6343, 2005, 20, 91, 22, 20, 16305, 20, 266, 419, 1008, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1875, 34, 266, 419, 1008, 68, 8999, 602, 204, 204, 37, 6598, 19, 2472, 19, 18136, 204, 37, 494, 11930, 19, 6026, 204, 37, 6598, 19, 2472, 19, 16402, 13, 204, 264, 388, 46639, 68, 2256, 17, 2255, 68, 266, 419, 1008, 17, 1812, 68, 1309, 528, 204, 264, 551, 204, 268, 4401, 25, 19, 23, 19, 4343, 528, 1078, 17, 2832, 23068, 559, 14478, 1641, 17, 388, 16305, 559, 720, 7946, 22, 17047, 204, 268, 4401, 26, 19, 21, 19, 7298, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 681, 6007, 30, 17047, 204, 268, 4401, 24, 19, 30, 19, 3701, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 1598, 9769, 17047, 204, 268, 4401, 24, 19, 2314, 19, 24, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 720, 7378, 24, 17047, 204, 264, 7241, 204, 14, 204, 6419, 436, 683, 68, 3107, 4878, 68, 6439, 13, 204, 264, 32788, 68, 2256, 31, 394, 17, 2255, 68, 266, 419, 1008, 31, 1109, 17, 1812, 68, 1309, 31, 1061, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 3431, 4158, 94, 9526, 850, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 2255, 68, 266, 419, 1008, 322, 2107, 330, 2266, 311, 2255, 292, 419, 1008, 292, 275, 683, 19, 204, 268, 1812, 68, 1309, 322, 1665, 330, 334, 1812, 1019, 348, 275, 683, 19, 204, 264, 320, 204, 264, 314, 13553, 9564, 93, 4306, 88, 204, 264, 3219, 68, 494, 11930, 68, 6026, 88, 13, 46639, 68, 2256, 17, 2255, 68, 266, 419, 1008, 14, 204, 204, 264, 314, 666, 437, 1014, 302, 3431, 4158, 94, 9526, 204, 264, 6686, 289, 3431, 4158, 94, 9526, 499, 10779, 19, 21, 19, 21, 19, 22, 528, 2255, 68, 266, 419, 1008, 14, 204, 204, 264, 314, 763, 424, 497, 275, 3431, 4158, 94, 9526, 204, 264, 4177, 6686, 19, 505, 68, 481, 374, 204, 204, 264, 314, 4416, 275, 9757, 329, 5627, 1019, 204, 264, 2136, 4177, 6686, 19, 23068, 374, 564, 1812, 68, 1309, 1166, 23068, 1339, 204, 264, 2136, 4177, 6686, 19, 16305, 374, 564, 1812, 68, 1309, 1166, 16305, 1339, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 17, 537, 68, 932, 31, 1187, 14, 393, 726, 31, 204, 264, 320, 204, 264, 13485, 275, 575, 311, 2064, 537, 329, 407, 275, 537, 448, 275, 1713, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 268, 537, 68, 932, 322, 932, 330, 334, 1187, 311, 928, 275, 537, 1856, 444, 6004, 19, 204, 204, 264, 475, 31, 204, 268, 726, 31, 334, 575, 677, 537, 6004, 311, 275, 1713, 1187, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 636, 275, 575, 677, 537, 329, 1814, 490, 311, 275, 1713, 1187, 204, 305, 407, 537, 68, 932, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 828, 275, 537, 2950, 444, 6004, 311, 275, 1713, 1187, 17, 2037, 437, 908, 943, 204, 305, 456, 499, 13203, 677, 508, 273, 1097, 537, 19, 2982, 810, 2528, 1280, 204, 204, 461, 456, 68, 1190, 13, 1190, 31, 818, 17, 7548, 31, 421, 289, 500, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 800, 542, 440, 275, 1713, 7548, 19, 204, 204, 264, 457, 31, 204, 268, 542, 322, 996, 330, 334, 542, 311, 456, 19, 204, 268, 7548, 322, 339, 17, 1448, 330, 334, 542, 302, 4048, 6759, 311, 2037, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 542, 440, 275, 1713, 7548, 204, 264, 456, 13, 75, 12, 673, 542, 353, 31, 463, 1190, 4567, 96, 12258, 98, 75, 3501, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 537, 448, 437, 1534, 204, 264, 575, 68, 4649, 289, 636, 68, 816, 68, 768, 611, 2101, 437, 1534, 31, 7537, 421, 14, 204, 615, 264, 314, 763, 275, 575, 677, 537, 448, 273, 818, 204, 264, 575, 68, 996, 289, 636, 68, 816, 68, 768, 611, 2101, 273, 818, 31, 7537, 818, 14, 204, 615, 264, 314, 1198, 275, 575, 677, 1534, 537, 204, 264, 456, 68, 1190, 13, 816, 68, 4649, 14, 204, 615, 264, 314, 1198, 275, 575, 677, 818, 537, 440, 571, 4048, 6759, 204, 264, 456, 68, 1190, 13, 816, 68, 996, 17, 571, 14, 204, 204, 264, 314, 1198, 273, 21092, 818, 542, 440, 435, 4048, 6759, 204, 264, 21092, 68, 996, 289, 5487, 19, 1258, 4049, 7378, 204, 264, 456, 68, 1190, 13, 603, 10208, 68, 996, 17, 435, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 13084, 353, 275, 27877, 302, 23232, 3204, 6403, 302, 275, 15059, 1085, 302, 297, 36, 204, 204, 673, 23232, 3204, 302, 273, 32703, 741, 610, 13, 89, 14, 289, 2787, 13, 89, 14, 353, 800, 560, 31, 204, 3266, 61, 13, 88, 14, 289, 688, 339, 68, 21, 10584, 6785, 610, 13, 89, 14, 74, 5373, 274, 98, 5144, 289, 688, 339, 68, 21, 10584, 6785, 318, 5373, 274, 98, 5144, 3266, 204, 3266, 61, 13, 88, 14, 289, 10723, 1209, 96, 22, 1134, 88, 98, 74, 5373, 274, 2277, 14813, 6499, 97, 1859, 21, 12528, 6785, 98, 289, 688, 1209, 96, 22, 1134, 88, 98, 289, 688, 1209, 96, 22, 1134, 3453, 8456, 465, 781, 92, 43256, 204, 3609, 9137, 7145, 329, 5081, 440, 11645, 3453, 8456, 338, 781, 92, 3920, 2543, 572, 636, 31, 226, 204, 3266, 61, 13, 88, 14, 289, 688, 1209, 43791, 8456, 338, 781, 92, 9844, 3453, 8456, 67, 23, 41494, 11065, 67, 23, 43256, 204, 204, 673, 5312, 1698, 18142, 348, 13257, 492, 96, 1252, 2277, 96, 88, 41491, 35, 21, 36857, 754, 275, 722, 11645, 22, 20, 88, 3266, 1583, 508, 1895, 1169, 7211, 348, 904, 1019, 302, 11645, 88, 34213, 334, 2318, 1085, 302, 11645, 88, 3266, 292, 275, 3018, 11645, 74, 5373, 274, 7836, 6204, 275, 5312, 3629, 275, 3600, 27478, 348, 275, 5312, 311, 25717, 19, 716, 204, 673, 3618, 302, 13220, 322, 43289, 14, 8788, 1698, 523, 275, 2318, 1085, 302, 11645, 88, 3266, 2404, 490, 17469, 3855, 275, 5312, 18142, 521, 38971, 19, 828, 13257, 8456, 289, 500, 3266, 329, 11645, 92, 688, 19484, 500, 36857, 11645, 61, 13, 88, 16702, 2560, 17, 1101, 808, 353, 508, 6826, 311, 275, 27877, 19, 334, 27877, 353, 9002, 560, 275, 1019, 302, 11645, 88, 3266, 348, 928, 275, 5312, 18142, 17, 329, 808, 8788, 1698, 523, 13257, 8456, 34213, 204, 204, 837, 27599, 17, 275, 23232, 3204, 618, 444, 17514, 448, 275, 15233, 3204, 302, 273, 3683, 11983, 560, 11645, 4041, 23261, 8456, 265, 3920, 2176, 6263, 17, 13257, 8456, 3266, 1856, 444, 7540, 1702, 496, 275, 9432, 302, 275, 2171, 3683, 11983, 560, 11645, 4041, 23261, 8456, 265, 16702, 13729, 273, 11339, 700, 19, 828, 13257, 8456, 3266, 353, 2917, 17, 275, 44499, 353, 437, 7921, 18, 21113, 3683, 17, 6043, 311, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24111, 19, 0, 3883, 7799, 1984, 15489, 3571, 13749, 20064, 25461, 14972, 408, 19212, 1189, 13035, 8824, 19487, 11509, 4821, 408, 9681, 4384, 1189, 1984, 8131, 18, 1258, 18, 1003, 408, 16155, 4901, 2642, 4771, 7849, 30, 1377, 408, 42513, 1638, 2183, 2704, 21226, 25535, 2704, 18354, 2676, 3362, 408, 29898, 1189, 4015, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 4002, 5757, 29039, 27094, 21607, 1189, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 226, 1505, 2868, 2371, 27341, 15244, 9681, 4015, 13749, 20064, 5038, 4084, 2739, 10250, 2677, 14768, 1565, 42458, 2653, 4002, 1227, 4015, 13749, 20064, 5038, 4084, 2739, 21804, 4068, 18850, 1490, 15378, 2677, 46878, 15184, 22119, 2653, 29181, 6326, 13256, 1603, 10268, 408, 10971, 1189, 16155, 3429, 2791, 408, 9141, 15489, 6949, 6899, 9308, 1524, 5290, 568, 204, 1505, 2868, 2371, 27341, 15244, 9681, 4015, 13749, 20064, 5038, 4084, 2739, 10250, 2677, 14768, 1565, 42458, 2653, 4002, 1227, 4015, 13749, 20064, 5038, 4084, 2739, 21804, 4068, 18850, 1490, 15378, 2677, 46878, 15184, 22119, 2653, 29181, 6326, 13256, 1603, 12522, 31506, 1811, 22467, 2338, 16233, 2114, 11567, 41531, 942, 13415, 8483, 408, 3178, 2174, 33556, 3140, 568, 204, 4136, 34518, 24406, 6443, 37045, 5840, 4906, 17179, 13749, 20064, 29840, 10400, 12548, 6633, 8610, 921, 26783, 2338, 1565, 1684, 381, 252, 27133, 9942, 35794, 6969, 11020, 29840, 43224, 381, 252, 2544, 15244, 21141, 2014, 3491, 4139, 1684, 408, 1189, 1191, 26783, 8846, 7652, 2110, 47206, 1111, 1951, 8437, 568, 204, 13749, 20064, 19582, 5972, 2677, 6326, 1377, 5972, 2653, 204, 12858, 38187, 1951, 4409, 1984, 2774, 5757, 18196, 13749, 20064, 34342, 725, 7447, 2654, 2338, 22926, 725, 42563, 22926, 725, 22146, 7047, 20064, 460, 7447, 2654, 2338, 22926, 725, 8167, 2338, 16658, 16814, 6713, 26997, 725, 9013, 408, 854, 6233, 23600, 44410, 45735, 13749, 20064, 4574, 2093, 2615, 48149, 408, 6233, 2056, 14617, 6660, 13749, 20064, 36744, 38963, 11736, 48149, 408, 6233, 15043, 38771, 3140, 408, 4136, 13749, 20064, 5110, 10528, 22926, 17363, 408, 10709, 6653, 19598, 16691, 24, 1565, 6260, 9467, 13262, 16856, 5038, 2426, 3283, 2894, 568, 2774, 14890, 6443, 22, 19, 6007, 12700, 6142, 1822, 9760, 21574, 6713, 16691, 13749, 20064, 40395, 16102, 1635, 100, 3560, 7833, 2338, 4664, 5182, 568, 204, 4136, 13262, 16856, 1984, 2774, 33519, 33594, 29561, 13749, 20064, 8215, 32293, 3140, 408, 1254, 13749, 20064, 2338, 22926, 26997, 2065, 9013, 17922, 3984, 8215, 408, 854, 11476, 1951, 6713, 5038, 9398, 17619, 4127, 7335, 725, 3140, 11764, 6650, 30158, 568, 2014, 2537, 39526, 12548, 6633, 8610, 11962, 1390, 4045, 13262, 16856, 16362, 3632, 2825, 4228, 7077, 3820, 568, 204, 1191, 4409, 7821, 1984, 854, 11476, 45735, 20064, 21574, 6713, 5038, 1699, 259, 831, 460, 4146, 11082, 4587, 725, 3560, 9143, 2065, 9013, 725, 1579, 8706, 3784, 2065, 24265, 3456, 43450, 12883, 24985, 3140, 408, 6436, 9025, 1111, 3854, 24046, 13749, 20064, 6232, 4587, 4231, 725, 9789, 42563, 6232, 4587, 4231, 1227, 36267, 4438, 13592, 11859, 8846, 4587, 27372, 29084, 44299, 20369, 4231, 2405, 5335, 4515, 30719, 12185, 3784, 8182, 408, 9813, 31192, 45333, 11148, 408, 33519, 45735, 20064, 21574, 28870, 7047, 6841, 39788, 24265, 11082, 6841, 408, 7059, 4136, 1572, 4121, 8846, 19865, 45735, 20064, 21574, 6713, 11082, 17363, 408, 10194, 3013, 4136, 45735, 20064, 21574, 6713, 12261, 12927, 568, 204, 2564, 4172, 17772, 1984, 2774, 2732, 9250, 48461, 13262, 16856, 22926, 2338, 13262, 16856, 21574, 6713, 48149, 408, 854, 9250, 11764, 19865, 3079, 25790, 13262, 16856, 22926, 10709, 48149, 11104, 408, 7059, 9250, 11764, 19865, 13262, 16856, 21574, 11613, 4661, 48149, 568, 204, 43535, 11264, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 460, 14781, 6949, 408, 4945, 14041, 7533, 8376, 13749, 20064, 25461, 460, 21226, 23933, 18239, 408, 14139, 11808, 21226, 25535, 2704, 4134, 15510, 5972, 40864, 25670, 6949, 1955, 3013, 5290, 4134, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 204, 8, 968, 273, 927, 302, 5981, 440, 1182, 11100, 1987, 204, 34065, 68, 10337, 289, 322, 204, 264, 2448, 3637, 4175, 2613, 491, 379, 43, 13494, 2008, 204, 264, 2448, 5917, 6274, 56, 10274, 1801, 491, 379, 56, 6568, 31637, 2008, 204, 264, 2448, 9359, 10274, 1801, 491, 379, 13074, 31637, 534, 204, 14, 204, 204, 676, 13331, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 4943, 570, 496, 19596, 275, 5082, 18, 266, 2221, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 3610, 575, 19, 204, 268, 588, 322, 325, 330, 334, 4943, 677, 588, 19, 204, 268, 1692, 322, 325, 330, 334, 4943, 677, 1692, 19, 204, 264, 320, 204, 264, 575, 289, 1094, 19, 20748, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 3749, 34, 1021, 14, 204, 264, 1692, 289, 1094, 19, 15478, 13, 1129, 68, 1205, 34, 2051, 17, 3749, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 5310, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 1351, 570, 496, 4504, 273, 1351, 292, 275, 1640, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1351, 1724, 19, 204, 268, 2297, 322, 996, 330, 334, 1351, 2297, 19, 204, 268, 6778, 322, 996, 330, 334, 1351, 6778, 19, 204, 268, 2851, 322, 325, 330, 334, 1351, 2851, 19, 204, 268, 2342, 322, 325, 330, 334, 1351, 2342, 19, 204, 268, 752, 322, 325, 330, 334, 1351, 752, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 19, 204, 264, 320, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 2297, 289, 1094, 19, 18315, 374, 204, 264, 6778, 289, 1094, 19, 18315, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 2851, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5426, 34, 34065, 68, 10337, 14, 204, 264, 2342, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 752, 289, 1094, 19, 12043, 13, 2305, 833, 935, 20, 2305, 19, 4955, 534, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 1642, 3830, 204, 264, 436, 752, 68, 805, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1274, 302, 275, 1351, 752, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 752, 2560, 204, 268, 397, 370, 19, 935, 31, 204, 305, 407, 370, 19, 935, 19, 805, 204, 268, 407, 3026, 204, 204, 264, 1642, 3830, 204, 264, 436, 1800, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 1800, 1609, 523, 275, 1351, 2851, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 955, 311, 2304, 5981, 311, 1769, 204, 268, 2851, 68, 2185, 289, 463, 204, 305, 379, 3637, 4175, 2613, 597, 379, 5937, 491, 204, 305, 379, 5917, 6274, 56, 10274, 1801, 597, 379, 1270, 491, 204, 305, 379, 9359, 10274, 1801, 597, 379, 9041, 12, 204, 268, 1211, 204, 268, 407, 2851, 68, 2185, 19, 505, 13, 327, 19, 3924, 17, 8930, 204, 204, 676, 5868, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 1346, 1552, 570, 496, 4504, 273, 4943, 677, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 4151, 322, 2107, 330, 2266, 275, 1552, 353, 4151, 19, 204, 268, 4391, 68, 359, 322, 325, 330, 334, 4391, 1222, 19, 204, 268, 1489, 68, 5903, 322, 2664, 330, 334, 1489, 275, 1552, 867, 1966, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4151, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 4391, 68, 359, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 1489, 68, 5903, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 394, 13, 327, 19, 359, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1113, 68, 9279, 68, 3803, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 1113, 2264, 302, 275, 6099, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 458, 6459, 311, 949, 275, 1113, 2264, 204, 268, 407, 1066, 13, 1271, 19, 1996, 68, 3803, 348, 1184, 292, 370, 19, 9279, 1271, 68, 574, 19, 668, 1447, 204, 204, 264, 1642, 3830, 204, 264, 436, 1113, 68, 9279, 68, 1996, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1113, 542, 302, 2696, 292, 275, 6099, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 458, 6459, 311, 949, 275, 1113, 542, 302, 2696, 204, 268, 407, 1066, 13, 1271, 19, 7871, 348, 1184, 292, 370, 19, 9279, 1271, 68, 574, 19, 668, 1447, 204, 204, 676, 12613, 4307, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 6099, 1184, 570, 496, 4504, 273, 1351, 292, 275, 6099, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 1552, 322, 8477, 330, 334, 3610, 1552, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 1351, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 311, 275, 6099, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1552, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4474, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 2572, 19, 1778, 204, 204, 264, 1642, 3830, 204, 264, 436, 2696, 68, 3803, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 2264, 302, 275, 2696, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1351, 869, 273, 6778, 204, 268, 397, 370, 19, 2572, 19, 13641, 31, 204, 305, 407, 370, 19, 7871, 540, 370, 19, 2572, 19, 13641, 204, 268, 407, 370, 19, 7871, 540, 370, 19, 2572, 19, 2895, 204, 204, 676, 48749, 1218, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 13181, 458, 570, 496, 4504, 273, 4943, 677, 13181, 458, 19, 204, 204, 264, 1532, 31, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 311, 275, 13181, 458, 19, 204, 264, 320, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 268, 407, 370, 19, 2572, 19, 1778, 204, 204, 676, 48349, 10979, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 17487, 1995, 570, 496, 4504, 273, 4943, 677, 17487, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1552, 322, 8477, 330, 334, 3610, 1552, 19, 204, 268, 1995, 322, 325, 330, 334, 17487, 1995, 19, 204, 268, 3226, 322, 325, 330, 334, 3226, 19, 204, 268, 1259, 322, 325, 330, 334, 1259, 19, 204, 268, 36459, 322, 325, 330, 334, 4337, 1576, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 17487, 1995, 867, 4327, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1552, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1995, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 3226, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 1259, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 36459, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 8315, 19, 417, 204, 0, 2310, 9295, 636, 1376, 311, 275, 2501, 5337, 529, 329, 754, 490, 353, 440, 275, 14743, 19, 334, 717, 6309, 302, 275, 40013, 13995, 353, 448, 4768, 348, 19923, 5319, 448, 275, 12272, 3275, 2147, 13394, 329, 275, 19731, 5525, 19, 4253, 7301, 448, 10547, 448, 1916, 2181, 8518, 3060, 4542, 1880, 1466, 974, 490, 19, 204, 673, 14743, 869, 2220, 23007, 4461, 490, 10178, 22177, 10080, 2518, 19, 592, 4539, 490, 353, 16261, 8280, 16863, 329, 7249, 311, 732, 19, 1547, 353, 24926, 19, 10455, 14052, 329, 10103, 353, 10394, 19, 1547, 353, 437, 8924, 10103, 6280, 496, 6202, 12262, 88, 1873, 19, 1547, 1102, 72, 3254, 690, 329, 27952, 754, 496, 1163, 5288, 353, 39950, 4610, 19, 1547, 618, 444, 1376, 10976, 21514, 447, 17, 2202, 754, 1194, 302, 469, 573, 17, 1101, 397, 3612, 13181, 311, 23170, 281, 1017, 6572, 1250, 618, 3848, 770, 754, 560, 1361, 523, 630, 6759, 1702, 448, 25628, 48584, 301, 19, 5028, 1874, 618, 5288, 1910, 440, 275, 16987, 302, 19468, 17, 27604, 17, 1692, 329, 8471, 19, 204, 7990, 3060, 23007, 302, 275, 14743, 496, 5814, 490, 273, 2220, 1964, 348, 16282, 1070, 1702, 26776, 448, 21625, 299, 17, 21625, 89, 467, 2643, 17, 10575, 26107, 17, 30476, 15505, 17, 2786, 32602, 17, 819, 555, 6712, 17, 21957, 6712, 17, 406, 8975, 521, 45382, 17, 529, 6488, 2075, 5814, 490, 273, 2220, 1964, 348, 43360, 34904, 329, 19822, 351, 11500, 17, 38036, 299, 1475, 329, 37500, 46543, 275, 1563, 19, 204, 673, 14743, 508, 1698, 6876, 24926, 10103, 490, 11138, 9682, 4151, 3326, 302, 1666, 19, 3433, 618, 2219, 758, 719, 2150, 9206, 19482, 496, 6743, 311, 444, 6759, 348, 1451, 9206, 1101, 496, 529, 292, 3718, 38907, 560, 5035, 496, 4897, 4153, 2013, 2160, 529, 22637, 19, 204, 2310, 874, 3303, 47700, 496, 2075, 17334, 18028, 355, 2925, 525, 618, 1425, 1340, 31010, 490, 19, 3242, 273, 2153, 1324, 3299, 17, 21487, 1286, 34786, 1193, 808, 311, 444, 275, 1322, 523, 273, 25920, 77, 656, 677, 17561, 14743, 24572, 496, 22637, 3850, 348, 25696, 685, 496, 275, 30541, 1478, 23128, 2545, 14511, 560, 1163, 5131, 13782, 18028, 13091, 15921, 714, 19, 4275, 311, 444, 377, 30579, 336, 275, 6695, 34786, 1376, 275, 1729, 7572, 302, 1214, 3346, 4064, 2479, 311, 4481, 275, 943, 685, 1422, 9271, 1704, 4978, 2317, 1048, 928, 566, 1425, 869, 4151, 3326, 19, 334, 5889, 867, 496, 275, 1351, 502, 11162, 1478, 5134, 5382, 10748, 867, 9759, 22637, 19, 5120, 4576, 808, 1324, 566, 11278, 273, 9023, 523, 275, 3397, 311, 4275, 1693, 8013, 884, 88, 36201, 386, 1154, 292, 275, 6781, 19, 1785, 1466, 754, 45539, 496, 572, 26055, 3850, 311, 5190, 275, 1729, 9023, 311, 32988, 885, 6531, 2459, 630, 4275, 1693, 8013, 313, 617, 4639, 17, 928, 9453, 1873, 3060, 2590, 448, 2459, 284, 27231, 336, 275, 44568, 447, 794, 48862, 1864, 302, 855, 825, 868, 1047, 5009, 618, 1151, 1182, 1465, 34786, 884, 88, 4884, 4263, 292, 14031, 4777, 386, 5388, 18, 45049, 823, 299, 9271, 14743, 34036, 3237, 31, 4778, 1963, 23152, 1286, 7405, 2262, 19, 395, 20, 204, 51, 842, 23540, 38878, 634, 356, 17, 275, 27820, 302, 595, 7574, 21125, 17, 10946, 808, 1688, 302, 7936, 11311, 4569, 2181, 2518, 34786, 867, 9596, 329, 49063, 275, 5094, 1335, 754, 1910, 5261, 43842, 490, 322, 6950, 23097, 634, 356, 18663, 17, 284, 41634, 330, 204, 11069, 5013, 9859, 1194, 10080, 17, 2745, 2976, 2643, 7336, 798, 275, 2347, 302, 2545, 8950, 19, 334, 3073, 17, 275, 27864, 17, 329, 275, 7103, 311, 2620, 2652, 529, 2075, 1120, 1895, 275, 5094, 754, 1792, 497, 275, 3113, 19, 334, 1483, 2234, 7602, 4386, 1741, 444, 13627, 373, 1357, 5319, 17, 1101, 490, 353, 437, 1683, 15215, 1465, 29303, 19, 1547, 1120, 1337, 10701, 1880, 884, 88, 306, 362, 4418, 3705, 19, 3242, 2804, 9029, 273, 4610, 1483, 3966, 17, 329, 1250, 12146, 496, 1698, 10299, 1519, 19950, 34658, 5013, 884, 204, 13203, 29303, 353, 3303, 3237, 19, 204, 5013, 1047, 1449, 444, 10891, 292, 334, 8302, 1247, 4639, 5565, 15623, 204, 6950, 23097, 634, 356, 17, 392, 19, 322, 31587, 14, 25511, 20608, 19, 11128, 14825, 19, 552, 478, 1597, 329, 1200, 4445, 271, 19, 0, 531, 6214, 19, 3424, 68, 2225, 532, 36969, 204, 647, 35838, 204, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 531, 5567, 19, 5554, 19, 6815, 19, 3802, 532, 9552, 204, 531, 5567, 19, 5554, 19, 6815, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 532, 1812, 68, 9821, 448, 7999, 204, 531, 5567, 19, 4608, 19, 5678, 532, 15383, 204, 647, 1361, 204, 204, 676, 11578, 18963, 31, 204, 264, 320, 204, 264, 332, 850, 348, 6886, 3966, 15939, 19, 204, 204, 264, 1532, 31, 204, 268, 3175, 322, 1386, 330, 334, 14025, 7471, 1014, 19, 204, 268, 2082, 322, 4387, 330, 334, 2082, 1014, 348, 1361, 3780, 19, 204, 268, 47189, 322, 339, 330, 334, 5119, 700, 292, 3331, 19, 204, 264, 320, 204, 204, 264, 47189, 289, 1199, 226, 314, 968, 273, 3324, 348, 275, 5119, 700, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3175, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 11578, 18963, 850, 19, 204, 204, 268, 457, 31, 204, 305, 3175, 322, 1386, 330, 334, 14025, 7471, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 2127, 289, 3175, 204, 268, 370, 19, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 264, 1642, 31535, 19, 2290, 611, 5995, 397, 275, 2924, 798, 3806, 529, 9455, 329, 26272, 534, 204, 264, 436, 1356, 68, 3424, 68, 654, 68, 4599, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 1692, 329, 1482, 537, 2357, 529, 9455, 329, 26272, 19, 204, 268, 320, 204, 268, 314, 778, 1692, 537, 1242, 204, 268, 370, 806, 2555, 68, 768, 68, 1993, 13, 10937, 6188, 19, 768, 68, 2302, 68, 1229, 17, 388, 2302, 431, 204, 822, 268, 314, 778, 1482, 537, 1242, 204, 268, 370, 806, 2555, 68, 768, 68, 1993, 13, 10937, 6188, 19, 768, 68, 1989, 68, 1229, 17, 388, 1989, 431, 204, 204, 264, 436, 906, 2555, 68, 768, 68, 1993, 13, 327, 17, 12580, 31, 394, 17, 1242, 68, 417, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 437, 537, 1242, 353, 9455, 329, 26272, 19, 204, 204, 268, 457, 31, 204, 305, 12580, 322, 325, 330, 334, 17134, 11550, 348, 275, 537, 1242, 19, 204, 305, 1242, 68, 417, 322, 325, 330, 334, 588, 302, 275, 537, 1242, 322, 74, 19, 76, 2458, 388, 2302, 7, 521, 388, 1989, 5561, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 5730, 348, 275, 537, 1242, 311, 444, 9455, 329, 26272, 204, 305, 9552, 13, 327, 19, 2127, 17, 370, 19, 15831, 789, 2776, 13, 204, 485, 7999, 19, 1849, 68, 633, 68, 2115, 68, 23147, 1802, 3609, 19, 14507, 68, 16355, 17, 12580, 602, 204, 305, 1179, 204, 268, 827, 15383, 31, 204, 305, 314, 2175, 437, 908, 397, 275, 537, 1242, 353, 508, 9455, 521, 508, 26272, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 5476, 348, 537, 463, 1993, 68, 417, 98, 353, 508, 9455, 521, 508, 26272, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4390, 275, 1945, 12947, 204, 264, 497, 5567, 532, 4942, 204, 264, 497, 5567, 19, 5554, 19, 10082, 19, 3823, 532, 8544, 204, 264, 497, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 204, 264, 314, 1359, 719, 275, 2082, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 264, 314, 666, 273, 717, 1014, 302, 275, 7099, 3175, 204, 264, 3175, 289, 4942, 19, 7140, 13, 3823, 34, 5619, 13, 7140, 32067, 1528, 9310, 5887, 204, 204, 264, 314, 666, 273, 717, 1014, 302, 275, 11578, 18963, 850, 204, 264, 3966, 68, 24525, 289, 11578, 18963, 13, 2127, 14, 204, 204, 264, 314, 11454, 311, 275, 2924, 1472, 204, 264, 3175, 19, 505, 499, 3189, 1963, 2569, 19, 1453, 20, 3424, 431, 204, 204, 264, 314, 778, 275, 2924, 798, 3806, 204, 264, 3966, 68, 24525, 19, 2555, 68, 3424, 68, 654, 68, 4599, 374, 204, 204, 264, 314, 5706, 275, 5214, 2158, 204, 264, 3175, 19, 8289, 374, 204, 0, 647, 2010, 448, 645, 204, 204, 461, 838, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 17, 1019, 31, 458, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 435, 41, 12913, 1348, 322, 1663, 14, 440, 275, 800, 3015, 17, 2630, 17, 329, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 268, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 268, 1019, 322, 655, 330, 332, 458, 302, 1019, 311, 16836, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 542, 302, 1019, 1583, 508, 2216, 275, 1525, 5150, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 542, 302, 1019, 4083, 275, 1525, 5150, 204, 264, 397, 1245, 13, 1309, 14, 2167, 3015, 540, 10426, 31, 204, 268, 980, 987, 499, 4290, 302, 1019, 1583, 508, 2216, 1525, 5150, 431, 204, 204, 264, 314, 666, 275, 1525, 974, 2010, 677, 1348, 329, 28261, 3263, 204, 264, 407, 645, 19, 643, 13, 1309, 789, 6358, 13, 3173, 17, 10426, 14, 204, 204, 461, 838, 68, 3828, 13, 1309, 31, 458, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 368, 41, 12913, 1348, 322, 3828, 14, 440, 275, 800, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 1019, 322, 655, 330, 332, 458, 302, 1019, 311, 16836, 275, 2450, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 264, 320, 204, 264, 407, 645, 19, 643, 13, 1309, 14, 204, 204, 461, 2811, 68, 1663, 68, 3828, 68, 6211, 13, 1663, 31, 645, 19, 766, 17, 2450, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 9715, 273, 1525, 18, 3828, 2661, 974, 275, 1642, 4708, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 1123, 19, 766, 330, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 268, 2450, 322, 1123, 19, 766, 330, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 722, 302, 275, 1525, 18, 3828, 2661, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1525, 329, 2450, 5150, 529, 41672, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1525, 329, 2450, 5150, 529, 19686, 204, 264, 397, 1525, 19, 1827, 64, 22, 66, 2167, 2450, 19, 1827, 64, 21, 744, 204, 268, 980, 987, 499, 11767, 329, 2450, 5150, 529, 41672, 431, 204, 204, 264, 314, 3055, 275, 1525, 18, 3828, 2661, 974, 275, 1642, 4708, 204, 264, 407, 1525, 1642, 2450, 204, 204, 461, 2811, 68, 3828, 68, 1663, 68, 6211, 13, 3828, 31, 645, 19, 766, 17, 1525, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 9715, 273, 2450, 18, 1663, 2661, 974, 275, 1642, 4708, 19, 204, 204, 264, 457, 31, 204, 268, 2450, 322, 1123, 19, 766, 330, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 268, 1525, 322, 1123, 19, 766, 330, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 722, 302, 275, 2450, 18, 1663, 2661, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 2450, 329, 1525, 5150, 529, 41672, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2450, 329, 1525, 5150, 529, 19686, 204, 264, 397, 2450, 19, 1827, 64, 21, 66, 2167, 1525, 19, 1827, 64, 21, 744, 204, 268, 980, 987, 499, 8144, 329, 1525, 5150, 529, 41672, 431, 204, 204, 264, 314, 3055, 275, 2450, 18, 1663, 2661, 974, 275, 1642, 4708, 204, 264, 407, 2450, 1642, 1525, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 7703, 329, 5302, 204, 264, 1525, 22, 289, 838, 68, 1663, 13, 24, 17, 435, 17, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 694, 204, 264, 1525, 23, 289, 838, 68, 1663, 13, 23, 17, 571, 17, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 694, 204, 264, 2450, 289, 838, 68, 3828, 1568, 1003, 17, 1607, 694, 204, 204, 264, 314, 3055, 1525, 18, 3828, 2661, 204, 264, 810, 31, 204, 268, 722, 22, 289, 2811, 68, 1663, 68, 3828, 68, 6211, 13, 1663, 22, 17, 2450, 14, 204, 268, 456, 13, 75, 7, 11767, 18, 8144, 18283, 9541, 31, 463, 1300, 22, 1522, 14924, 31, 463, 1300, 22, 19, 1827, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 3055, 2450, 18, 1663, 2661, 204, 264, 810, 31, 204, 268, 722, 23, 289, 2811, 68, 3828, 68, 1663, 68, 6211, 13, 3828, 17, 1525, 23, 14, 204, 268, 456, 13, 75, 7, 8144, 18, 11767, 18283, 9541, 31, 463, 1300, 23, 1522, 14924, 31, 463, 1300, 23, 19, 1827, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 11354, 401, 94, 4877, 329, 32705, 529, 10597, 16136, 1924, 3171, 302, 275, 5269, 5439, 292, 1910, 1792, 25653, 19, 9469, 24075, 18697, 560, 4260, 521, 1855, 302, 1605, 21847, 11155, 2964, 34298, 32, 1855, 21847, 529, 8578, 8649, 578, 311, 7497, 292, 3671, 29960, 311, 9712, 19, 592, 4303, 17, 1855, 21847, 874, 3557, 15249, 17441, 329, 874, 273, 21185, 5800, 523, 1017, 24686, 19, 204, 39199, 3395, 40236, 269, 32975, 1320, 204, 14884, 1605, 2637, 17, 6247, 18, 5705, 2172, 25948, 529, 8649, 578, 311, 12787, 25653, 329, 14003, 17, 2864, 13087, 4549, 17, 32705, 10180, 273, 4542, 43513, 793, 292, 1017, 25653, 19, 36291, 353, 4751, 275, 1901, 3287, 15249, 13305, 19, 14233, 7440, 8628, 10180, 4549, 440, 45327, 1424, 1048, 20947, 521, 308, 391, 290, 15482, 19, 19179, 4921, 17, 24980, 12257, 292, 273, 800, 1864, 1784, 16941, 19, 10910, 311, 275, 4639, 302, 21487, 369, 13940, 15044, 12594, 552, 26743, 17395, 2548, 17, 24980, 12257, 529, 5104, 4201, 508, 1698, 311, 275, 4474, 302, 4921, 17, 1101, 311, 275, 5926, 19, 204, 2567, 94, 2178, 40236, 269, 32975, 1320, 204, 18365, 32705, 17, 401, 94, 4877, 529, 8578, 8649, 578, 311, 1910, 1792, 25653, 19, 3242, 28443, 17, 5862, 17, 1250, 7188, 508, 448, 8317, 608, 523, 4921, 448, 1017, 5406, 35812, 19, 10303, 1250, 7188, 8649, 578, 17, 1250, 3667, 10180, 12931, 18, 3664, 25653, 496, 874, 1855, 14985, 2706, 329, 37212, 521, 8180, 19, 33940, 329, 860, 35254, 4549, 529, 1425, 21501, 311, 1910, 401, 94, 4877, 17, 329, 1605, 12168, 18, 25163, 618, 1224, 15607, 2964, 3667, 377, 30579, 336, 560, 3651, 401, 17543, 6279, 19, 204, 14884, 401, 94, 4877, 529, 6432, 275, 2481, 302, 5658, 17, 1182, 17976, 28443, 5187, 8578, 6727, 43566, 329, 14498, 45679, 5187, 496, 874, 1742, 1718, 37904, 756, 560, 9712, 17, 1250, 2709, 15131, 43221, 467, 17440, 17, 329, 819, 42057, 299, 13909, 273, 3403, 1085, 292, 1017, 8114, 19, 346, 4339, 288, 17, 18537, 17, 2637, 14654, 698, 17, 1009, 43069, 329, 32705, 529, 830, 523, 275, 4607, 17, 329, 1250, 6356, 27770, 3074, 1873, 5658, 22630, 397, 275, 10931, 17792, 5398, 19, 24825, 5225, 17, 8578, 36447, 17, 1741, 444, 42010, 311, 1910, 401, 94, 4877, 17, 9504, 283, 5382, 12133, 529, 15131, 311, 30765, 292, 1429, 4549, 17, 5575, 311, 275, 4639, 302, 25845, 20775, 19, 204, 39199, 7440, 874, 1910, 8160, 2614, 1017, 15785, 17, 14918, 448, 273, 22630, 6555, 348, 34482, 467, 17440, 7343, 19, 592, 275, 1818, 24075, 17, 5862, 17, 32705, 874, 7656, 8160, 440, 9712, 19, 4171, 2637, 21847, 618, 3253, 21185, 7034, 311, 16891, 30582, 23939, 6415, 329, 23477, 24518, 17, 9504, 1718, 270, 25275, 11155, 2964, 3600, 521, 2219, 273, 15532, 19, 1765, 1763, 17, 808, 353, 275, 3633, 13861, 1283, 401, 94, 4877, 329, 32705, 19, 204, 18, 30862, 2936, 20, 39598, 865, 19, 1453, 20, 5136, 605, 24349, 0, 4377, 273, 1950, 18, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2399, 289, 27400, 68, 5719, 19, 505, 68, 3143, 499, 5937, 19, 10751, 73, 431, 204, 268, 407, 2399, 19, 6392, 13, 11163, 34, 1087, 17, 2042, 34, 1038, 14, 204, 204, 264, 436, 906, 2102, 68, 3143, 13, 327, 17, 2399, 31, 394, 17, 18185, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1198, 275, 5703, 2399, 17, 30733, 9499, 2238, 19, 204, 204, 268, 457, 31, 204, 305, 2399, 31, 334, 5703, 2399, 448, 273, 782, 19, 204, 305, 18185, 31, 2221, 4510, 726, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1673, 1007, 311, 443, 204, 268, 1673, 68, 1054, 289, 443, 204, 822, 268, 314, 1861, 1048, 848, 1007, 292, 275, 2399, 204, 268, 348, 1007, 292, 2399, 19, 1590, 3273, 83, 6471, 204, 305, 314, 778, 397, 275, 1007, 353, 1792, 497, 275, 1673, 1007, 204, 305, 397, 1007, 2167, 1673, 68, 1054, 31, 204, 485, 314, 1198, 275, 1007, 974, 275, 9166, 726, 204, 485, 18185, 19, 2102, 68, 6696, 13, 1054, 14, 204, 305, 314, 1716, 275, 1673, 1007, 204, 305, 1673, 68, 1054, 289, 1007, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 13511, 12118, 1014, 204, 264, 3243, 68, 2170, 289, 13511, 12118, 374, 204, 615, 264, 314, 666, 4306, 1906, 329, 9166, 2828, 348, 6893, 5356, 204, 264, 850, 7614, 28139, 31, 204, 268, 436, 589, 924, 889, 327, 17, 1586, 330, 204, 305, 370, 19, 7491, 289, 1586, 204, 204, 264, 850, 7614, 7096, 31, 204, 268, 436, 456, 68, 6696, 13, 327, 17, 1007, 330, 204, 305, 456, 13, 1054, 14, 204, 204, 264, 314, 666, 273, 4306, 1948, 4651, 726, 204, 264, 850, 7614, 7545, 6574, 31, 204, 268, 1879, 204, 204, 264, 314, 4889, 275, 13511, 12118, 1014, 440, 4306, 1906, 329, 9166, 2828, 204, 264, 3243, 68, 2170, 13, 9975, 28139, 499, 2569, 68, 1087, 19, 1775, 3186, 7614, 7096, 2144, 7614, 7545, 6574, 1447, 204, 0, 658, 7802, 4616, 275, 23833, 4187, 4160, 533, 13288, 204, 204, 673, 800, 1581, 353, 31, 204, 51, 289, 322, 51, 21, 3085, 74, 7218, 21, 19, 27, 7723, 89, 20, 89, 35348, 602, 204, 204, 1449, 3542, 504, 808, 1581, 17, 572, 1519, 311, 3204, 490, 1025, 275, 798, 469, 289, 14566, 465, 308, 19, 204, 204, 1380, 1687, 368, 31, 968, 2558, 329, 3454, 204, 3661, 677, 7072, 31, 204, 18, 11895, 322, 3605, 14, 289, 265, 35348, 322, 9441, 18, 8597, 14, 204, 18, 469, 289, 392, 20, 51, 21, 322, 13651, 4474, 14, 204, 204, 1380, 1687, 435, 31, 32357, 275, 1581, 204, 51, 289, 392, 21, 540, 318, 7218, 21, 19, 27, 7723, 89, 20, 11606, 14, 204, 204, 1380, 1687, 571, 31, 10423, 275, 4193, 14821, 322, 6685, 14, 302, 1855, 2902, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 540, 318, 7218, 21, 19, 27, 7723, 89, 20, 11606, 602, 204, 204, 1380, 1687, 681, 31, 3291, 21895, 3564, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 14, 465, 10363, 13, 74, 7218, 21, 19, 27, 7723, 89, 20, 11606, 602, 204, 204, 1380, 1687, 720, 31, 8730, 974, 275, 4355, 10363, 13, 74, 67, 70, 14, 289, 273, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 14, 338, 500, 19, 27, 7723, 89, 20, 11606, 204, 204, 1380, 1687, 887, 31, 33801, 275, 1581, 311, 275, 798, 469, 289, 14566, 465, 308, 204, 3661, 469, 289, 10363, 13, 51, 659, 309, 289, 338, 21, 19, 27, 7723, 20, 11606, 17, 610, 289, 265, 17, 329, 308, 289, 10363, 13, 51, 21, 14, 204, 94, 289, 14566, 465, 308, 204, 6685, 13, 51, 14, 289, 3457, 21, 19, 27, 7723, 20, 11606, 14, 89, 465, 10363, 13, 51, 21, 14, 204, 204, 4063, 275, 1581, 353, 292, 275, 6736, 3542, 798, 17, 469, 289, 14566, 465, 308, 17, 1273, 31, 204, 18, 469, 289, 10363, 13, 51, 14, 204, 18, 309, 289, 338, 21, 19, 27, 7723, 20, 11606, 322, 14776, 14, 204, 18, 610, 289, 265, 322, 834, 14, 204, 18, 308, 289, 10363, 13, 51, 21, 14, 322, 94, 18, 9097, 14, 0, 658, 1687, 368, 31, 10721, 311, 3239, 15966, 204, 673, 1844, 17792, 4109, 7345, 3232, 311, 542, 5194, 17, 2864, 2510, 17, 4048, 17, 329, 12575, 19, 1547, 22161, 1662, 886, 529, 6717, 292, 1792, 12442, 329, 1662, 311, 1814, 1283, 1475, 19, 204, 204, 658, 1687, 435, 31, 12775, 8870, 29376, 204, 837, 2510, 17, 848, 3717, 322, 276, 4577, 14, 618, 444, 4260, 500, 521, 368, 19, 334, 1502, 302, 848, 4577, 4504, 273, 2347, 302, 435, 17, 4145, 497, 435, 67, 21, 348, 275, 32875, 4577, 19, 204, 204, 658, 1687, 571, 31, 22402, 18473, 3301, 88, 204, 1449, 1814, 273, 4048, 542, 311, 2510, 17, 572, 618, 732, 275, 4854, 6576, 1216, 521, 275, 11043, 1216, 19, 334, 4854, 6576, 1216, 5628, 8631, 275, 4048, 542, 560, 435, 329, 13492, 3234, 302, 275, 25230, 17, 1335, 275, 11043, 1216, 5628, 11745, 9350, 302, 435, 497, 275, 4048, 542, 19, 204, 204, 658, 1687, 681, 31, 387, 8537, 11143, 29376, 204, 673, 1844, 22161, 2327, 3942, 311, 1173, 12344, 1892, 292, 2510, 31, 12344, 6922, 17, 1051, 677, 10393, 17, 329, 970, 677, 10393, 19, 7616, 1216, 869, 1163, 17428, 329, 35086, 19, 204, 204, 658, 1687, 720, 31, 387, 8537, 47214, 29376, 204, 837, 12344, 6922, 2355, 17, 275, 1901, 4883, 4577, 4504, 275, 1574, 302, 275, 542, 17, 329, 275, 4017, 8113, 1173, 275, 6922, 19, 1058, 1216, 353, 7249, 311, 3126, 1101, 6481, 18353, 15875, 19, 204, 204, 658, 1687, 887, 31, 5028, 677, 39668, 29376, 204, 837, 1051, 677, 10393, 2355, 17, 2917, 886, 529, 6717, 560, 33092, 275, 8113, 302, 275, 3310, 2140, 542, 19, 1058, 1216, 353, 19486, 311, 3288, 1194, 12344, 6922, 1101, 3848, 869, 970, 1792, 16685, 348, 2962, 19, 204, 204, 658, 1687, 1168, 31, 7609, 677, 39668, 29376, 204, 837, 970, 677, 10393, 2355, 17, 2917, 886, 529, 6717, 560, 5209, 368, 311, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 1051, 677, 10393, 302, 275, 3310, 2140, 542, 19, 1058, 1216, 47085, 275, 1844, 302, 970, 1792, 16685, 348, 2962, 19, 204, 204, 658, 1687, 1132, 31, 19898, 15853, 204, 673, 1844, 22161, 1662, 311, 2811, 7339, 2758, 17, 1702, 448, 4998, 329, 11043, 17, 974, 970, 677, 10393, 2355, 19, 1547, 1425, 14450, 1662, 311, 4522, 20502, 329, 1683, 2788, 19, 204, 204, 658, 1687, 1233, 31, 5166, 3570, 677, 13985, 204, 673, 1844, 28869, 5166, 3570, 677, 3372, 17, 928, 353, 273, 1216, 348, 9137, 970, 886, 974, 4577, 25162, 19, 1058, 3372, 353, 12096, 329, 1182, 10205, 1194, 31725, 25855, 18, 416, 18, 10047, 2986, 19, 204, 204, 658, 1687, 931, 31, 18123, 204, 673, 1844, 3629, 273, 15964, 18126, 302, 542, 5194, 17, 2510, 2355, 17, 329, 12344, 1534, 2355, 19, 1547, 1425, 22161, 7339, 2758, 329, 28869, 5166, 3570, 677, 3372, 348, 6177, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 36864, 1617, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 204, 315, 204, 7352, 1054, 1545, 311, 415, 416, 38, 14896, 1981, 19, 204, 204, 1834, 3467, 3629, 273, 3277, 1354, 1054, 4510, 311, 8808, 440, 273, 415, 416, 38, 14896, 1981, 19, 204, 3837, 6876, 3612, 311, 2566, 5453, 311, 275, 1981, 329, 7137, 9347, 19, 204, 315, 204, 204, 647, 3056, 204, 647, 3238, 204, 647, 2454, 204, 204, 676, 28754, 13, 2940, 330, 204, 264, 320, 9005, 2710, 348, 1727, 18, 5969, 2744, 1279, 204, 264, 1879, 204, 204, 461, 353, 68, 1867, 68, 2196, 13, 2196, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 3855, 275, 1981, 1120, 9820, 275, 1354, 448, 273, 1435, 1354, 19, 204, 204, 264, 457, 31, 204, 268, 1354, 322, 325, 330, 334, 1354, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1354, 353, 273, 1435, 1354, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1354, 3192, 1169, 2872, 2724, 521, 275, 13487, 12, 1943, 204, 264, 348, 1125, 292, 1354, 31, 204, 268, 397, 1125, 292, 43940, 44452, 204, 305, 407, 1078, 204, 268, 397, 1125, 564, 13487, 597, 204, 305, 407, 959, 204, 264, 407, 1078, 204, 204, 676, 415, 416, 2899, 915, 31, 204, 264, 320, 204, 264, 332, 1545, 348, 17322, 440, 273, 415, 416, 38, 14896, 1981, 19, 204, 204, 264, 1532, 31, 204, 268, 9571, 322, 325, 330, 334, 9571, 302, 275, 415, 416, 38, 2871, 19, 204, 268, 2054, 322, 339, 330, 334, 2054, 542, 302, 275, 14896, 1981, 19, 204, 268, 3056, 322, 2794, 19, 2794, 330, 334, 3056, 1727, 311, 275, 1981, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 9571, 31, 394, 17, 2054, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 1545, 440, 275, 800, 9571, 329, 2054, 19, 204, 204, 268, 457, 31, 204, 305, 9571, 322, 325, 330, 334, 9571, 302, 275, 415, 416, 38, 2871, 19, 204, 305, 2054, 322, 339, 330, 334, 2054, 542, 302, 275, 14896, 1981, 19, 204, 268, 320, 204, 268, 370, 19, 12797, 289, 9571, 204, 268, 370, 19, 898, 289, 2054, 204, 268, 370, 19, 2794, 289, 3056, 19, 2794, 13, 2794, 19, 10059, 68, 15961, 17, 3056, 19, 15071, 68, 17651, 14, 204, 268, 370, 19, 2794, 19, 2933, 1802, 12797, 17, 2054, 602, 204, 268, 370, 19, 2794, 19, 42755, 13, 2794, 19, 26052, 68, 27645, 17, 3056, 19, 27645, 68, 5830, 21877, 17, 368, 14, 204, 268, 370, 19, 1054, 68, 15554, 289, 370, 19, 505, 68, 2604, 374, 204, 204, 264, 436, 636, 68, 2604, 13, 327, 330, 204, 268, 320, 204, 268, 9112, 2238, 497, 275, 3056, 19, 204, 204, 268, 9112, 31, 204, 305, 394, 31, 334, 1682, 1007, 497, 275, 3056, 19, 204, 268, 320, 204, 268, 5668, 289, 3026, 204, 268, 1335, 959, 31, 204, 305, 314, 3736, 275, 5668, 1025, 2238, 329, 4353, 830, 1101, 275, 1673, 1051, 204, 305, 2238, 289, 5668, 19, 1590, 3273, 83, 431, 204, 305, 348, 1007, 292, 2238, 9128, 22, 744, 204, 485, 4353, 1007, 204, 305, 5668, 289, 2238, 3327, 22, 66, 204, 305, 314, 12154, 717, 424, 497, 275, 3056, 204, 305, 810, 31, 204, 485, 5445, 68, 481, 289, 370, 19, 2794, 19, 12383, 13, 33253, 789, 5286, 374, 204, 305, 827, 12121, 22134, 596, 31, 204, 485, 980, 28754, 499, 5064, 7264, 560, 275, 1981, 431, 204, 305, 397, 508, 5445, 68, 481, 31, 204, 485, 980, 28754, 499, 28409, 83, 2964, 636, 958, 292, 690, 431, 204, 305, 5668, 1412, 5445, 68, 481, 204, 204, 264, 436, 7137, 68, 668, 13, 327, 14, 393, 458, 64, 325, 744, 204, 268, 320, 204, 268, 39171, 830, 2238, 497, 275, 3056, 3119, 273, 1007, 4145, 440, 19849, 353, 5445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 325, 744, 334, 5445, 2238, 19, 204, 268, 320, 204, 268, 9347, 289, 551, 2715, 13, 327, 19, 1054, 68, 15554, 2395, 204, 268, 397, 508, 9347, 64, 21, 744, 204, 305, 980, 28754, 499, 5064, 7106, 431, 204, 268, 397, 9347, 64, 21, 1664, 7209, 499, 6, 6471, 204, 305, 1335, 508, 9347, 3327, 22, 1664, 7209, 499, 3343, 330, 204, 485, 9347, 19, 1223, 13, 2715, 13, 327, 19, 1054, 68, 15554, 602, 204, 268, 407, 9347, 204, 204, 264, 436, 3176, 68, 416, 68, 3345, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 24213, 275, 575, 348, 537, 329, 15125, 490, 311, 275, 1981, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 575, 677, 537, 19, 204, 268, 320, 204, 268, 314, 13485, 275, 575, 348, 537, 329, 2566, 490, 311, 275, 1981, 204, 268, 943, 289, 537, 21431, 2810, 204, 268, 370, 19, 2794, 19, 27594, 1802, 1454, 465, 7805, 83, 5561, 4170, 1447, 204, 268, 407, 943, 204, 204, 264, 436, 1523, 13, 327, 330, 204, 268, 320, 204, 268, 8209, 275, 1545, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1335, 959, 31, 204, 485, 943, 289, 370, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 4202, 68, 416, 68, 3345, 374, 204, 485, 397, 353, 68, 1867, 68, 2196, 13, 1454, 330, 204, 895, 314, 828, 275, 943, 353, 273, 1435, 1354, 17, 3524, 41094, 3119, 437, 1392, 943, 353, 6027, 204, 895, 1335, 943, 31, 204, 2058, 943, 289, 370, 19, 4202, 68, 416, 68, 3345, 374, 204, 485, 348, 958, 292, 370, 19, 18330, 68, 668, 1293, 204, 895, 456, 41572, 14761, 2478, 13, 1935, 602, 204, 268, 827, 322, 42, 12051, 596, 17, 16797, 330, 204, 305, 314, 1426, 38456, 16, 41, 329, 38456, 16, 40, 204, 305, 1879, 204, 268, 827, 28754, 448, 318, 31, 204, 305, 456, 499, 5064, 908, 31, 14761, 2478, 13, 74, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 499, 596, 31, 14761, 2478, 13, 74, 602, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3056, 1727, 204, 305, 370, 19, 2794, 19, 20425, 13, 2794, 19, 4175, 3057, 68, 20420, 14, 204, 305, 370, 19, 2794, 19, 3529, 374, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 7352, 1054, 1545, 311, 415, 416, 38, 14896, 1981, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 12797, 528, 1540, 1022, 7714, 528, 16771, 1022, 15330, 1340, 1022, 15647, 417, 302, 415, 416, 38, 2871, 322, 2305, 3221, 2463, 12008, 204, 264, 1732, 19, 826, 68, 2389, 499, 898, 528, 1187, 34, 339, 17, 1540, 34, 35930, 17, 16771, 1022, 15330, 1340, 1022, 13840, 542, 302, 14896, 1981, 322, 2305, 1132, 29210, 12008, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 264, 1545, 289, 415, 416, 2899, 915, 13, 1038, 19, 12797, 17, 2042, 19, 898, 14, 204, 264, 1545, 19, 1777, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 16329, 1397, 1213, 353, 275, 1901, 3287, 9365, 808, 6129, 348, 273, 15836, 14214, 19, 592, 3718, 17, 440, 754, 3171, 2652, 19276, 3332, 451, 830, 275, 690, 17, 3793, 869, 6680, 496, 292, 1552, 311, 636, 1880, 311, 8649, 311, 2652, 43623, 17, 490, 1741, 1340, 311, 7253, 523, 2075, 29261, 275, 1729, 19, 204, 8990, 299, 437, 1397, 371, 3100, 31182, 1025, 1214, 3100, 329, 4383, 6684, 618, 5190, 1214, 7365, 437, 12312, 1048, 1163, 40649, 1924, 2969, 329, 23489, 19, 1547, 1425, 6609, 437, 1397, 371, 3100, 8908, 496, 5814, 3100, 717, 6173, 3171, 1182, 16863, 311, 1214, 8740, 19, 5486, 884, 88, 636, 1025, 490, 19, 204, 3728, 353, 1397, 371, 3100, 36, 204, 18444, 371, 3100, 353, 437, 3979, 311, 1737, 329, 4383, 496, 19236, 523, 23489, 17, 20992, 17, 329, 2969, 19, 204, 3837, 884, 88, 273, 4382, 3979, 311, 732, 292, 1910, 1792, 13026, 17, 497, 12750, 3793, 311, 904, 7177, 302, 36478, 3440, 1702, 448, 25583, 9442, 19, 9656, 2530, 42, 884, 88, 4376, 27346, 591, 353, 8608, 302, 2969, 2404, 302, 273, 1182, 24347, 7572, 3478, 19, 204, 4931, 275, 9656, 2530, 42, 3979, 17, 872, 1784, 3440, 1214, 3200, 884, 88, 6500, 830, 630, 5602, 329, 1698, 636, 275, 1136, 18, 4162, 8033, 348, 2907, 1330, 10350, 353, 10689, 19, 828, 872, 1519, 311, 2652, 10080, 292, 1214, 3200, 496, 4935, 1025, 275, 4383, 6771, 17, 490, 1120, 3074, 11864, 6397, 311, 2216, 10350, 1818, 719, 2528, 19, 204, 837, 42917, 437, 1397, 371, 3979, 17, 872, 1784, 4581, 275, 3200, 4383, 292, 14113, 302, 5343, 329, 2907, 19, 3665, 6061, 15646, 10285, 1877, 848, 3697, 4383, 3155, 5976, 302, 830, 630, 5602, 630, 275, 1136, 19, 4168, 6310, 311, 3100, 17, 1397, 371, 4948, 286, 1440, 2969, 1048, 10080, 902, 19, 204, 18444, 371, 3100, 869, 1910, 1792, 7177, 17, 497, 2002, 6294, 311, 3384, 20992, 17, 1101, 490, 884, 88, 1901, 7562, 1882, 275, 4383, 6771, 302, 1737, 8217, 1273, 275, 1519, 311, 7023, 353, 3667, 5092, 1194, 292, 904, 3003, 302, 8217, 19, 1547, 884, 88, 1425, 4382, 1330, 6310, 311, 3100, 2614, 1214, 7365, 17, 448, 490, 6876, 348, 23489, 329, 2969, 1335, 26753, 1182, 20992, 329, 8749, 4751, 1214, 8740, 19, 204, 3728, 529, 275, 8753, 302, 1397, 371, 3100, 36, 204, 673, 3018, 1397, 371, 7336, 497, 275, 8130, 4383, 7561, 17, 1101, 353, 3303, 2545, 1376, 292, 1910, 1792, 4549, 329, 19623, 19, 5028, 302, 275, 1901, 1376, 2048, 302, 1397, 371, 3100, 353, 275, 38133, 19, 1058, 353, 1273, 273, 4383, 1352, 353, 4581, 1025, 5406, 21551, 322, 88, 2102, 88, 14, 311, 838, 273, 27726, 17, 928, 353, 1675, 13320, 560, 1136, 18, 4162, 348, 10285, 19, 204, 17996, 523, 275, 10285, 17, 3731, 1120, 444, 2927, 311, 275, 27726, 2518, 3161, 4672, 302, 2907, 19, 334, 1729, 13456, 311, 3100, 17, 1273, 275, 3200, 353, 4581, 1025, 28397, 18, 25163, 8305, 329, 273, 2384, 19692, 10285, 1877, 38061, 848, 2254, 19, 7616, 4672, 9329, 273, 38133, 19, 204, 673, 8753, 302, 808, 3979, 292, 3100, 329, 4383, 529, 31, 204, 3882, 1182, 11979, 3332, 3119, 275, 1136, 302, 273, 3200, 869, 10689, 2518, 872, 7137, 1214, 10285, 19, 3665, 884, 953, 5508, 3020, 437, 2931, 292, 4703, 23746, 329, 47343, 302, 3100, 560, 26753, 14276, 3100, 37055, 3450, 440, 15621, 690, 292, 18, 13744, 19, 204, 13936, 15646, 10285, 204, 3661, 884, 88, 4627, 872, 884, 358, 2842, 7784, 437, 32687, 3200, 348, 1214, 9700, 17, 329, 872, 884, 272, 15024, 1017, 10285, 523, 490, 3303, 496, 490, 884, 88, 273, 10689, 1351, 19, 592, 830, 4367, 404, 3962, 17, 1784, 872, 1895, 275, 7214, 311, 2652, 275, 3200, 1609, 523, 1017, 10285, 16635, 490, 1784, 444, 5362, 311, 770, 17, 2264, 1182, 5132, 329, 7915, 1214, 21376, 685, 2219, 1182, 36, 204, 673, 1729, 9211, 348, 1214, 9700, 6432, 1214, 3200, 397, 1250, 1466, 311, 7137, 10285, 630, 275, 1136, 19, 2026, 5508, 770, 872, 4030, 490, 884, 953, 444, 496, 1250, 3288, 1214, 10285, 523, 6500, 1250, 884, 358, 3870, 3054, 521, 8735, 8518, 17, 4744, 523, 292, 275, 3200, 36, 828, 872, 884, 272, 4636, 440, 437, 1397, 371, 3100, 3979, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 10285, 1784, 11616, 1877, 521, 2219, 1882, 848, 2413, 17, 1330, 275, 9932, 11712, 1483, 353, 3848, 11370, 292, 1880, 884, 88, 23580, 19, 204, 38799, 517, 9208, 302, 3100, 204, 3837, 1741, 5233, 872, 440, 303, 976, 16635, 496, 872, 874, 311, 4930, 1924, 273, 2344, 18, 5515, 3200, 19, 8800, 9700, 6612, 884, 89, 874, 275, 6005, 9659, 521, 45160, 311, 8106, 7253, 348, 10549, 3658, 7400, 17, 329, 12956, 1784, 872, 19, 828, 872, 2280, 275, 3100, 719, 1025, 14276, 6808, 521, 732, 7203, 6859, 17, 872, 618, 2931, 23746, 560, 2753, 2847, 329, 16209, 6121, 29573, 19, 204, 837, 1062, 3710, 8749, 329, 30445, 20992, 204, 43, 1667, 319, 8749, 353, 896, 311, 275, 2969, 2479, 302, 1397, 371, 3100, 19, 12338, 3100, 353, 4581, 1025, 14276, 6808, 440, 10285, 630, 275, 1136, 17, 1422, 884, 88, 437, 6863, 1519, 348, 8749, 329, 20992, 19, 7054, 17, 292, 3638, 17, 11337, 311, 14645, 30340, 45732, 17, 2202, 9578, 17, 329, 4037, 47821, 288, 19, 204, 2920, 311, 838, 437, 1397, 371, 3100, 8908, 204, 5009, 618, 3020, 1662, 24177, 1397, 371, 3100, 1025, 1214, 7365, 618, 304, 784, 8753, 2590, 10701, 275, 3100, 329, 4383, 6684, 19, 1131, 275, 15363, 17, 872, 884, 272, 17140, 1873, 275, 5343, 6808, 348, 437, 1397, 371, 6160, 19, 828, 872, 3480, 311, 838, 437, 1397, 371, 3100, 8908, 292, 1214, 7365, 17, 1422, 529, 273, 4542, 896, 3214, 311, 1696, 311, 1895, 275, 2765, 732, 302, 275, 31182, 19, 204, 5964, 273, 11676, 204, 1834, 353, 273, 896, 1043, 1660, 311, 508, 444, 42103, 19, 19179, 273, 4199, 11676, 17, 1169, 2002, 1120, 292, 2447, 8280, 8508, 26112, 630, 1429, 7341, 17, 440, 521, 2900, 437, 1397, 371, 31182, 19, 204, 35250, 685, 2075, 1214, 7365, 11237, 311, 7940, 292, 3099, 302, 3100, 329, 4383, 630, 275, 1012, 302, 275, 2002, 353, 273, 4382, 2501, 311, 4897, 11243, 353, 523, 275, 1729, 1472, 2518, 872, 3288, 273, 717, 6684, 329, 5821, 490, 685, 311, 8740, 19, 204, 28702, 1214, 31287, 204, 21912, 5252, 311, 444, 8033, 2614, 1214, 7365, 311, 874, 1017, 4627, 329, 444, 12527, 292, 275, 3546, 1882, 275, 1352, 302, 4141, 437, 1397, 371, 3100, 8908, 36, 204, 15406, 1873, 830, 275, 1880, 329, 4119, 2614, 1214, 6160, 496, 872, 4030, 2549, 11200, 497, 2545, 8033, 292, 275, 2002, 19, 4055, 440, 896, 31287, 1702, 448, 552, 11, 55, 521, 275, 480, 11, 41, 3384, 329, 1225, 1214, 2501, 1873, 311, 10038, 31287, 1702, 448, 8269, 21051, 329, 8348, 4764, 19, 204, 5274, 1760, 13149, 3100, 204, 46834, 311, 13149, 3100, 5814, 437, 7365, 1182, 1397, 371, 19, 1547, 618, 2280, 1873, 8749, 25397, 329, 1782, 12407, 2614, 1214, 7365, 329, 2931, 20992, 4751, 1214, 8740, 19, 1547, 884, 88, 1425, 273, 4382, 17, 2264, 18, 17953, 2501, 311, 2931, 3100, 4751, 1214, 9700, 17, 928, 618, 3014, 311, 11959, 13405, 273, 4362, 6859, 7365, 16289, 204, 46901, 7092, 630, 273, 3100, 7365, 529, 21071, 329, 8905, 311, 20185, 4309, 717, 6173, 9295, 928, 7894, 8774, 311, 9291, 24369, 17, 6826, 17, 329, 31579, 273, 8908, 302, 7346, 3100, 19, 204, 5136, 3384, 5131, 311, 4309, 4430, 204, 3719, 1214, 15209, 353, 311, 9393, 1182, 13149, 311, 13149, 3100, 17, 872, 1519, 311, 874, 2817, 2755, 2614, 1214, 10293, 521, 6657, 1225, 1964, 348, 1880, 311, 770, 754, 19, 666, 5685, 496, 14973, 4361, 3100, 1273, 9700, 618, 4930, 4430, 329, 1273, 1250, 884, 272, 21071, 311, 874, 1017, 20123, 521, 13106, 18, 8263, 19, 204, 29459, 1693, 6183, 1025, 275, 3440, 329, 5328, 302, 904, 4361, 4549, 2614, 1214, 5343, 17, 1702, 448, 1214, 7365, 884, 88, 48584, 2972, 1257, 17, 618, 2931, 1182, 20992, 1283, 1214, 8740, 329, 1741, 1340, 311, 2280, 1873, 1782, 12407, 448, 2590, 19, 204, 22232, 270, 18114, 302, 3100, 6813, 7870, 273, 1225, 2124, 521, 3747, 7894, 31579, 275, 6733, 496, 3100, 11080, 830, 275, 690, 329, 496, 490, 884, 88, 437, 5312, 1085, 302, 1214, 7365, 19, 3665, 618, 732, 273, 11031, 480, 5200, 1702, 448, 5389, 13263, 3919, 311, 838, 28397, 18, 25163, 3200, 3821, 496, 884, 88, 16863, 311, 1214, 8740, 22006, 1250, 3480, 19, 204, 17724, 292, 3100, 653, 5792, 204, 5842, 302, 275, 896, 12759, 302, 275, 1397, 371, 31182, 292, 3100, 329, 4383, 353, 496, 490, 9995, 302, 3697, 38133, 88, 17, 8367, 560, 15621, 19, 17789, 653, 5792, 292, 3100, 529, 11897, 292, 275, 1978, 302, 275, 1216, 448, 1250, 2512, 348, 3171, 18, 20556, 10285, 16108, 329, 25435, 19, 1058, 5814, 275, 4835, 1352, 302, 3100, 3171, 1182, 6184, 17, 448, 872, 884, 272, 508, 11979, 3119, 275, 1136, 302, 273, 3200, 311, 4930, 273, 683, 521, 7137, 10285, 19, 204, 11345, 6309, 2755, 204, 38, 11031, 480, 5200, 7051, 691, 1224, 292, 437, 1397, 371, 1225, 1964, 329, 448, 1085, 302, 437, 480, 11, 41, 6684, 19, 1058, 353, 2404, 302, 1163, 2652, 3423, 329, 21200, 18, 75, 45863, 3979, 19, 204, 32405, 11067, 397, 1214, 3384, 7051, 5252, 311, 444, 292, 275, 1729, 4308, 348, 3658, 523, 1136, 311, 22459, 717, 6173, 17, 521, 397, 1250, 618, 4309, 275, 1729, 1690, 292, 14276, 3220, 6808, 329, 1182, 15924, 7110, 3100, 14003, 19, 21956, 3100, 353, 1085, 302, 496, 7110, 1964, 4440, 329, 6571, 440, 7203, 6859, 17, 1214, 9700, 618, 3074, 292, 28397, 18, 25163, 8113, 302, 1483, 22006, 1250, 3480, 17, 34622, 1250, 3480, 19, 204, 60, 321, 2172, 490, 719, 204, 3719, 872, 3480, 1214, 7365, 311, 9291, 6826, 329, 24369, 292, 1214, 7561, 17, 872, 1519, 311, 4582, 292, 1214, 9700, 884, 3100, 329, 4383, 19, 204, 18444, 371, 3100, 353, 273, 4382, 3979, 496, 6876, 348, 1182, 23489, 17, 2969, 17, 329, 20992, 1194, 9293, 36478, 3440, 1702, 448, 9656, 2530, 42, 19, 1547, 1583, 808, 1924, 3697, 4383, 38133, 88, 8367, 560, 10285, 329, 23472, 19, 204, 5058, 872, 3480, 311, 3288, 1397, 371, 3100, 292, 1214, 7365, 329, 636, 1214, 8740, 311, 4309, 717, 6173, 292, 273, 9819, 329, 28397, 18, 25163, 2501, 36, 6608, 5389, 13263, 3919, 685, 5319, 348, 4476, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7791, 1169, 1302, 3384, 204, 3837, 677, 9509, 1194, 7921, 311, 3234, 329, 4204, 1214, 3384, 677, 1737, 440, 275, 5389, 13263, 3919, 480, 5200, 19, 28506, 348, 4476, 0, 531, 1804, 532, 1489, 204, 531, 6440, 5719, 532, 20534, 11690, 204, 531, 9417, 19, 17732, 12170, 6295, 6182, 532, 44074, 43092, 6295, 14324, 204, 531, 690, 30235, 1745, 19, 672, 24191, 532, 1489, 68, 531, 68, 1031, 204, 531, 1498, 532, 783, 17, 1535, 204, 531, 8378, 532, 2621, 204, 647, 3805, 448, 1246, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 1151, 68, 2039, 68, 553, 13, 553, 68, 546, 31, 2621, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 4143, 273, 2306, 510, 1025, 273, 3805, 3135, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 2306, 510, 4578, 448, 273, 3805, 3135, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1151, 275, 2306, 510, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 264, 827, 1246, 19, 6240, 19, 29831, 31, 204, 268, 314, 1426, 1392, 424, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 31, 334, 510, 463, 553, 68, 546, 98, 353, 1392, 1280, 204, 268, 407, 1246, 19, 1362, 374, 204, 264, 827, 1246, 19, 6240, 19, 34828, 31, 204, 268, 314, 1426, 1732, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 31, 22677, 311, 2252, 275, 510, 463, 553, 68, 546, 12443, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 838, 68, 6182, 68, 481, 13, 937, 31, 1246, 19, 4813, 17, 6440, 68, 5719, 31, 20534, 11690, 14, 393, 44074, 43092, 6295, 14324, 31, 204, 264, 320, 204, 264, 2605, 273, 44074, 43092, 6295, 14324, 726, 497, 273, 3805, 10665, 19, 204, 204, 264, 457, 31, 204, 268, 1237, 322, 2600, 19, 4813, 330, 334, 3805, 10665, 1174, 275, 4248, 424, 19, 204, 268, 6440, 68, 5719, 322, 31275, 11690, 330, 334, 6440, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 44074, 43092, 6295, 14324, 31, 334, 1966, 44074, 43092, 6295, 14324, 726, 19, 204, 264, 320, 204, 264, 314, 1986, 6826, 424, 497, 275, 1237, 204, 264, 28224, 68, 672, 289, 1489, 68, 531, 68, 1031, 13, 937, 736, 33382, 2378, 204, 264, 16606, 68, 2895, 289, 818, 13, 937, 736, 37361, 2378, 204, 264, 4248, 68, 932, 289, 1237, 736, 932, 839, 204, 264, 3671, 68, 2895, 289, 818, 13, 937, 736, 3529, 2378, 204, 204, 264, 314, 666, 273, 44074, 43092, 6295, 14324, 726, 204, 264, 407, 44074, 43092, 6295, 14324, 13, 33382, 68, 672, 17, 16606, 68, 2895, 17, 4248, 68, 932, 17, 3671, 68, 2895, 17, 6440, 68, 5719, 14, 204, 204, 461, 4248, 68, 481, 68, 531, 68, 2039, 13, 876, 68, 672, 31, 1489, 17, 6440, 68, 5719, 31, 20534, 11690, 14, 393, 1535, 64, 1218, 64, 38768, 43092, 6295, 14324, 2440, 204, 264, 320, 204, 264, 4143, 4248, 424, 497, 273, 2306, 510, 329, 6609, 273, 458, 302, 44074, 43092, 6295, 14324, 2828, 19, 204, 204, 264, 457, 31, 204, 268, 700, 68, 672, 322, 672, 330, 334, 700, 1489, 19, 204, 268, 6440, 68, 5719, 322, 31275, 11690, 330, 334, 6440, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 1535, 64, 1218, 64, 38768, 43092, 6295, 14324, 2440, 334, 458, 302, 44074, 43092, 6295, 14324, 2828, 521, 443, 397, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 510, 832, 204, 264, 1489, 68, 1031, 289, 283, 1954, 876, 68, 672, 19, 2873, 15135, 876, 68, 672, 19, 4994, 15135, 876, 68, 672, 19, 2124, 2495, 204, 264, 510, 68, 417, 289, 283, 7, 23503, 68, 6182, 1859, 672, 68, 1031, 3572, 2039, 7, 204, 264, 510, 68, 546, 289, 2621, 15736, 6182, 68, 481, 15357, 802, 510, 68, 417, 204, 204, 264, 314, 778, 397, 275, 510, 2560, 204, 264, 397, 510, 68, 546, 19, 4332, 1293, 204, 268, 314, 1606, 275, 2306, 510, 204, 268, 4793, 68, 481, 289, 1151, 68, 2039, 68, 553, 13, 553, 68, 546, 14, 204, 822, 268, 314, 666, 273, 458, 302, 44074, 43092, 6295, 14324, 2828, 204, 268, 407, 4793, 68, 481, 19, 6774, 13, 3605, 1237, 31, 838, 68, 6182, 68, 481, 13, 937, 17, 6440, 68, 5719, 659, 3138, 34, 22, 789, 11380, 374, 204, 264, 902, 31, 204, 268, 314, 2175, 273, 10473, 397, 275, 510, 1583, 508, 1337, 204, 268, 2082, 19, 9041, 13, 75, 7, 673, 510, 463, 553, 68, 546, 98, 1583, 508, 1337, 1280, 204, 268, 407, 443, 204, 204, 461, 4793, 68, 481, 68, 531, 68, 2039, 13, 553, 68, 546, 31, 2621, 14, 393, 1246, 19, 4813, 31, 204, 264, 320, 204, 264, 4143, 4793, 424, 497, 273, 2306, 510, 329, 2584, 273, 3805, 10665, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 4813, 31, 334, 4793, 424, 448, 273, 3805, 10665, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 2306, 510, 204, 264, 4793, 68, 481, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 1112, 68, 982, 833, 672, 534, 204, 615, 264, 314, 2208, 275, 1112, 311, 1804, 204, 264, 4793, 68, 481, 19, 998, 289, 1246, 19, 633, 68, 2664, 13, 1292, 68, 481, 19, 998, 14, 204, 615, 264, 407, 4793, 68, 481, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 20534, 11690, 726, 204, 264, 6440, 68, 5719, 289, 20534, 11690, 374, 204, 204, 264, 314, 1359, 275, 700, 1489, 204, 264, 700, 68, 672, 289, 1489, 13, 8409, 17, 368, 17, 368, 14, 204, 204, 264, 314, 763, 275, 4248, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 424, 204, 264, 4248, 68, 481, 289, 4248, 68, 481, 68, 531, 68, 2039, 13, 876, 68, 672, 17, 6440, 68, 5719, 14, 204, 204, 264, 314, 1198, 275, 4248, 424, 204, 264, 397, 4248, 68, 481, 31, 204, 268, 348, 4248, 292, 4248, 68, 481, 31, 204, 305, 456, 13, 6182, 14, 204, 264, 902, 31, 204, 268, 456, 499, 3882, 4248, 424, 2755, 1280, 204, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 23589, 448, 15533, 204, 531, 4277, 19, 5702, 532, 19527, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 5984, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1137, 275, 424, 497, 275, 2306, 510, 204, 268, 424, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 268, 407, 424, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 7009, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 34759, 275, 424, 329, 5538, 5549, 4685, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 7009, 19, 204, 264, 320, 204, 264, 314, 778, 348, 4520, 1019, 204, 264, 456, 499, 32151, 348, 392, 20, 38, 1019, 2212, 204, 264, 348, 1837, 292, 424, 31, 204, 268, 456, 13, 75, 1954, 3071, 2829, 463, 481, 64, 3071, 1664, 360, 3662, 1528, 1303, 8050, 204, 204, 264, 314, 888, 329, 2037, 8200, 1283, 2558, 204, 264, 456, 3273, 83, 35423, 302, 2558, 2212, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1003, 17, 1132, 602, 204, 264, 15533, 19, 25363, 13, 481, 19, 20126, 2144, 5704, 34, 1021, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3740, 4802, 11100, 4685, 204, 264, 456, 3273, 83, 16624, 11100, 4685, 2212, 204, 264, 1246, 19, 574, 68, 6182, 611, 2994, 19, 1129, 68, 3786, 491, 443, 14, 204, 264, 456, 13, 481, 19, 24715, 1447, 204, 204, 461, 8603, 68, 24771, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 41140, 275, 3272, 302, 848, 2648, 292, 275, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 8603, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4368, 440, 20266, 348, 848, 2648, 204, 264, 2836, 17, 8648, 289, 1513, 19, 11552, 13, 32994, 3644, 1796, 13, 481, 19, 3786, 14, 465, 435, 14, 3166, 571, 17, 45109, 34, 24, 17, 18550, 3644, 2188, 17, 2153, 602, 204, 264, 348, 296, 17, 1837, 292, 3209, 13, 481, 19, 3786, 330, 204, 268, 314, 3045, 275, 3272, 302, 275, 790, 2648, 204, 268, 15533, 19, 3657, 1657, 13, 481, 64, 3071, 648, 11466, 34, 1036, 17, 1711, 34, 13352, 64, 78, 3166, 571, 17, 296, 1564, 571, 694, 204, 268, 8648, 64, 78, 3166, 571, 17, 296, 1564, 571, 1664, 574, 68, 1778, 13, 75, 7, 22763, 15040, 302, 463, 3071, 743, 204, 264, 314, 30596, 1169, 27984, 20266, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 481, 19, 3786, 659, 1245, 13, 13352, 19, 15203, 4019, 204, 268, 8648, 19, 15203, 64, 78, 1664, 3399, 611, 3008, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 3981, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7074, 5358, 275, 424, 974, 1144, 18, 14730, 329, 4954, 1440, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 3981, 19, 204, 264, 320, 204, 264, 314, 4347, 275, 8819, 542, 302, 8949, 974, 275, 9401, 12718, 1216, 204, 264, 306, 11016, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 22, 17, 2958, 330, 204, 268, 19869, 289, 19527, 13, 83, 68, 8073, 34, 78, 17, 1400, 68, 1512, 34, 11215, 14, 204, 268, 19869, 19, 2714, 13, 481, 14, 204, 268, 306, 11016, 19, 1223, 13, 25121, 19, 42767, 18903, 204, 204, 264, 314, 3045, 275, 595, 14507, 1019, 311, 3822, 275, 8819, 542, 302, 8949, 204, 264, 1513, 19, 1657, 13, 2307, 13, 22, 17, 2958, 659, 306, 11016, 17, 279, 833, 747, 534, 204, 264, 1513, 19, 1778, 611, 21153, 542, 302, 8949, 534, 204, 264, 1513, 19, 7246, 611, 4290, 302, 8949, 534, 204, 264, 1513, 19, 7127, 611, 60, 14507, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3055, 1144, 18, 14730, 13060, 440, 275, 8819, 542, 302, 8949, 204, 264, 19869, 289, 19527, 13, 83, 68, 8073, 34, 24, 17, 1400, 68, 1512, 34, 11215, 14, 204, 264, 469, 68, 25121, 289, 19869, 19, 2714, 68, 4396, 13, 481, 14, 204, 264, 424, 68, 643, 289, 424, 19, 1309, 204, 204, 264, 314, 3045, 275, 8949, 329, 1017, 15417, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 500, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 500, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 747, 491, 1800, 833, 15950, 368, 534, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 368, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 368, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 6267, 491, 1800, 833, 15950, 435, 534, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 435, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 435, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 9378, 491, 1800, 833, 15950, 571, 534, 204, 264, 1513, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10129, 13, 25121, 19, 5702, 68, 15137, 68, 3460, 500, 648, 19869, 19, 5702, 68, 15137, 68, 3460, 368, 648, 297, 34, 2051, 17, 279, 833, 17903, 491, 1800, 833, 17111, 11346, 534, 204, 264, 1513, 19, 1778, 611, 48, 14730, 46230, 11250, 1657, 440, 15417, 534, 204, 264, 1513, 19, 9042, 374, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 379, 20981, 19, 2039, 12, 204, 264, 424, 289, 1137, 68, 481, 13, 553, 68, 546, 14, 204, 264, 397, 424, 353, 508, 443, 31, 204, 268, 7009, 68, 481, 13, 481, 14, 204, 268, 8603, 68, 24771, 13, 481, 14, 204, 268, 3981, 68, 481, 13, 481, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1125, 82, 19, 9747, 2036, 19, 12798, 3869, 6410, 532, 34412, 8451, 28, 53, 4334, 204, 531, 1125, 82, 19, 9747, 2036, 19, 277, 712, 270, 994, 532, 3594, 2740, 16709, 416, 204, 531, 1125, 82, 19, 1234, 19, 23923, 19, 23923, 772, 532, 47675, 68, 46435, 17, 17660, 17, 2694, 12374, 53, 204, 531, 12348, 532, 15266, 6372, 448, 15266, 23, 204, 647, 1875, 204, 647, 39474, 204, 531, 1034, 2562, 532, 308, 2562, 4170, 17, 308, 2562, 5286, 204, 204, 676, 7837, 12309, 730, 31, 204, 264, 320, 204, 264, 5443, 41141, 348, 27250, 329, 26850, 11269, 3595, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 896, 31, 3154, 17, 3372, 31, 394, 289, 388, 45, 25749, 68, 17491, 23, 6471, 204, 268, 320, 204, 268, 2605, 273, 943, 34274, 329, 46891, 1683, 275, 1713, 896, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 3881, 330, 334, 896, 1376, 348, 5888, 19, 204, 305, 3372, 322, 325, 17, 1448, 330, 334, 3372, 1376, 348, 5888, 19, 1243, 311, 388, 45, 25749, 68, 17491, 23, 2948, 204, 268, 320, 204, 268, 397, 3372, 2167, 388, 45, 25749, 68, 17491, 23, 559, 204, 305, 980, 987, 499, 42970, 1698, 42922, 68, 17491, 23, 353, 6300, 448, 437, 3372, 431, 204, 268, 370, 806, 10992, 289, 3372, 204, 268, 370, 806, 644, 289, 896, 204, 204, 264, 436, 11958, 13, 327, 17, 943, 31, 394, 521, 3154, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 308, 12, 534, 393, 1135, 31, 204, 268, 320, 204, 268, 40519, 322, 25749, 14, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 16413, 448, 537, 311, 275, 42922, 3372, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 308, 12, 2625, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 6881, 15864, 302, 275, 17370, 3372, 17, 275, 17370, 336, 943, 322, 276, 16708, 659, 329, 275, 12323, 14406, 560, 17370, 299, 42922, 68, 10992, 465, 4916, 989, 465, 5530, 19, 204, 268, 320, 204, 268, 314, 9251, 275, 4916, 424, 353, 292, 7480, 1883, 17, 1814, 397, 3600, 19, 204, 268, 397, 508, 2381, 13, 16684, 68, 481, 17, 3154, 330, 204, 305, 4916, 68, 481, 289, 3154, 13, 16684, 68, 481, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 314, 2208, 943, 311, 3154, 397, 3600, 204, 268, 397, 508, 2381, 13, 1454, 17, 3154, 330, 204, 305, 943, 289, 3154, 13, 1454, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 407, 463, 204, 305, 388, 25101, 559, 370, 806, 10992, 17, 204, 305, 388, 5000, 559, 943, 17, 204, 305, 388, 12743, 559, 39474, 19, 1957, 13, 327, 806, 644, 17, 3154, 13, 327, 806, 10992, 17, 388, 3102, 18, 29, 431, 465, 4916, 68, 481, 465, 943, 17, 12323, 2272, 34, 11481, 23, 789, 18927, 374, 204, 268, 1211, 204, 204, 264, 436, 6767, 13, 327, 17, 943, 68, 416, 68, 12743, 31, 1135, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 308, 12, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 11885, 3855, 275, 17370, 12323, 497, 537, 16708, 329, 12323, 4083, 275, 14406, 1051, 1048, 16708, 329, 4916, 424, 19, 204, 204, 268, 457, 31, 204, 305, 943, 68, 416, 68, 12743, 322, 873, 330, 6881, 15864, 302, 275, 17370, 3372, 17, 275, 17370, 336, 943, 322, 276, 16708, 659, 329, 275, 12323, 14406, 560, 17370, 299, 42922, 68, 10992, 465, 4916, 989, 465, 5530, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 308, 12, 2625, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 12323, 88, 2216, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 397, 943, 68, 416, 68, 12743, 736, 25101, 839, 2167, 370, 806, 10992, 31, 204, 305, 980, 987, 499, 42970, 1698, 42922, 68, 17491, 23, 353, 6300, 448, 437, 3372, 431, 204, 822, 268, 314, 9251, 275, 4916, 424, 353, 292, 7480, 1883, 17, 1814, 397, 3600, 19, 204, 268, 397, 508, 2381, 13, 16684, 68, 481, 17, 3154, 330, 204, 305, 4916, 68, 481, 289, 3154, 13, 16684, 68, 481, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 1812, 289, 3154, 13, 327, 19, 9113, 13, 1454, 68, 416, 68, 12743, 736, 5000, 2043, 4916, 68, 481, 34, 16684, 68, 481, 26459, 12743, 2043, 379, 3102, 18, 29, 534, 204, 268, 5445, 289, 3154, 13, 1454, 68, 416, 68, 12743, 736, 12743, 2043, 379, 3102, 18, 29, 534, 204, 822, 268, 314, 1785, 5408, 275, 3678, 5976, 302, 275, 3422, 700, 311, 4516, 273, 19730, 5087, 204, 268, 407, 15266, 23, 13, 5477, 789, 12743, 374, 564, 15266, 23, 13, 15925, 789, 12743, 374, 204, 204, 204, 676, 25403, 5504, 38307, 84, 7637, 41141, 31, 204, 264, 320, 204, 264, 5443, 41141, 348, 12713, 11255, 329, 22455, 302, 424, 19, 204, 264, 25497, 3483, 1308, 437, 382, 4495, 40, 2157, 23, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10390, 12713, 6318, 348, 18086, 424, 19, 204, 264, 29118, 1698, 13157, 1410, 26965, 496, 2084, 618, 9694, 329, 10318, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 896, 31, 3154, 17, 3372, 31, 394, 289, 17660, 17, 2291, 31, 394, 289, 47675, 68, 46435, 330, 204, 268, 320, 204, 268, 1865, 275, 12713, 17910, 995, 41141, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 3881, 330, 334, 12713, 896, 19, 204, 305, 3372, 322, 325, 17, 1448, 330, 334, 3372, 1376, 348, 11255, 19, 1243, 311, 17660, 19, 204, 305, 2291, 322, 325, 17, 1448, 330, 334, 2291, 1376, 348, 11255, 19, 1243, 311, 47675, 68, 46435, 19, 204, 268, 320, 204, 268, 370, 806, 10992, 289, 3372, 204, 268, 370, 806, 644, 68, 1796, 289, 2247, 204, 268, 370, 806, 3199, 68, 835, 289, 2247, 204, 268, 370, 806, 3607, 289, 2291, 204, 268, 370, 806, 644, 289, 896, 2022, 327, 806, 644, 68, 1796, 66, 226, 314, 1812, 311, 444, 3154, 204, 268, 2136, 1245, 13, 327, 806, 644, 14, 564, 370, 806, 644, 68, 1796, 17, 388, 32410, 5504, 38307, 84, 7637, 41141, 896, 4440, 3697, 7, 204, 268, 370, 806, 12798, 289, 34412, 8451, 28, 53, 4334, 374, 204, 204, 264, 436, 906, 924, 68, 13378, 13, 327, 17, 22173, 31, 3154, 289, 443, 330, 204, 268, 320, 204, 268, 1865, 275, 8384, 19, 204, 204, 268, 457, 31, 204, 305, 22173, 322, 3881, 17, 1448, 330, 334, 7934, 2450, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 397, 22173, 353, 443, 31, 204, 305, 22173, 289, 3594, 2740, 16709, 416, 1528, 505, 10300, 33454, 13, 327, 806, 3199, 68, 835, 14, 204, 268, 370, 806, 467, 289, 22173, 204, 268, 407, 2694, 12374, 53, 13, 327, 806, 10992, 17, 322, 327, 806, 644, 17, 370, 806, 3607, 17, 370, 806, 467, 602, 204, 204, 264, 436, 906, 4170, 68, 5286, 13, 327, 17, 424, 31, 1135, 17, 6398, 330, 204, 268, 320, 204, 268, 32066, 521, 355, 7676, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 6093, 521, 9581, 19, 204, 305, 6398, 31, 334, 741, 311, 444, 6310, 311, 275, 424, 19, 204, 268, 320, 204, 268, 424, 736, 8644, 839, 289, 6398, 13, 481, 736, 8644, 2378, 204, 268, 424, 736, 31213, 3430, 839, 289, 6398, 13, 481, 736, 31213, 3430, 2378, 204, 268, 407, 424, 204, 204, 264, 436, 906, 4170, 13, 327, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 32066, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 6093, 19, 204, 268, 320, 204, 268, 407, 370, 806, 4170, 68, 5286, 13, 481, 17, 4464, 610, 31, 308, 2562, 4170, 13, 93, 789, 5286, 611, 3102, 18, 29, 3063, 204, 204, 264, 436, 906, 5286, 13, 327, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 30783, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 9581, 19, 204, 268, 320, 204, 268, 407, 370, 806, 4170, 68, 5286, 13, 481, 17, 4464, 610, 31, 308, 2562, 5286, 13, 3881, 13, 93, 17, 379, 3102, 18, 29, 22090, 204, 204, 264, 436, 14251, 13, 327, 17, 943, 31, 394, 521, 3154, 330, 204, 268, 320, 204, 268, 37825, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 311, 444, 8079, 19, 204, 268, 320, 204, 268, 314, 2208, 943, 311, 3154, 397, 3600, 204, 268, 397, 508, 2381, 13, 1454, 17, 3154, 330, 204, 305, 943, 289, 3154, 13, 1454, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 25636, 289, 370, 806, 17780, 13, 1454, 14, 204, 268, 314, 2084, 3157, 2950, 874, 2510, 424, 292, 1475, 17, 754, 572, 1631, 1034, 2562, 9694, 8384, 204, 268, 279, 356, 289, 1875, 19, 7362, 13, 327, 806, 4170, 13, 294, 602, 204, 268, 407, 279, 356, 204, 204, 264, 436, 906, 17780, 13, 327, 17, 943, 31, 3154, 330, 204, 268, 320, 204, 268, 37825, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 3881, 330, 334, 943, 311, 444, 8079, 19, 204, 268, 320, 204, 268, 314, 12338, 275, 16605, 2950, 444, 758, 1877, 12943, 7908, 17, 15194, 329, 14251, 204, 268, 314, 1631, 17046, 523, 1017, 3346, 5644, 302, 275, 8384, 204, 268, 8384, 289, 370, 806, 924, 68, 13378, 374, 204, 268, 25636, 289, 2552, 1889, 44, 597, 370, 806, 10992, 17, 204, 11826, 379, 7847, 597, 370, 806, 3607, 17, 204, 11826, 379, 8644, 597, 370, 806, 467, 17, 204, 11826, 379, 31213, 3430, 597, 8384, 19, 17780, 13, 327, 806, 12798, 19, 4170, 13, 1454, 602, 204, 11826, 1211, 204, 268, 407, 25636, 204, 204, 264, 436, 15194, 13, 327, 17, 8384, 68, 492, 31, 394, 330, 204, 268, 320, 204, 268, 42711, 273, 16708, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 325, 330, 334, 16708, 311, 444, 12225, 19, 204, 268, 320, 204, 268, 283, 289, 1875, 19, 5569, 13, 13378, 68, 492, 14, 204, 268, 407, 370, 806, 20480, 13, 327, 806, 5286, 13, 75, 602, 204, 204, 264, 436, 906, 20480, 13, 327, 17, 8384, 68, 492, 31, 1135, 330, 204, 268, 320, 204, 268, 42711, 273, 16708, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 873, 330, 334, 16708, 311, 444, 12225, 19, 204, 268, 320, 204, 268, 8384, 289, 370, 806, 924, 68, 13378, 13, 13378, 68, 492, 736, 8644, 2378, 204, 268, 5530, 289, 8384, 19, 20480, 13, 13378, 68, 492, 736, 31213, 3430, 2378, 204, 268, 407, 370, 806, 12798, 19, 5286, 13, 5000, 14, 204, 204, 204, 676, 10276, 756, 38307, 84, 7637, 41141, 13, 32410, 5504, 38307, 84, 7637, 41141, 330, 204, 264, 320, 204, 264, 42940, 10276, 756, 37979, 7945, 440, 6119, 1594, 322, 15578, 3007, 14, 995, 41141, 19, 204, 264, 334, 4916, 424, 353, 1448, 17, 329, 808, 2585, 353, 27809, 19686, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 440, 275, 1729, 850, 2900, 275, 4916, 424, 4248, 19, 204, 264, 320, 204, 204, 264, 436, 14251, 13, 327, 17, 943, 31, 394, 521, 3154, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 48849, 204, 268, 320, 204, 268, 37825, 273, 943, 292, 32291, 3007, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 311, 444, 8079, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 9434, 204, 268, 320, 204, 268, 314, 10473, 1698, 1097, 292, 275, 1400, 33611, 204, 268, 11958, 68, 644, 289, 15266, 23, 13, 71, 12, 16710, 276, 502, 640, 3970, 48597, 12, 465, 370, 806, 644, 789, 12743, 374, 204, 268, 11958, 289, 7837, 12309, 730, 13, 9113, 68, 644, 14, 204, 268, 4493, 289, 2234, 13, 26712, 38307, 84, 7637, 41141, 17, 370, 789, 17780, 13, 1454, 14, 204, 268, 407, 11958, 19, 9113, 13, 999, 17, 4916, 68, 481, 34, 16684, 68, 481, 14, 204, 204, 264, 436, 15194, 13, 327, 17, 8384, 68, 492, 31, 1135, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 48849, 204, 268, 320, 204, 268, 42711, 273, 16708, 292, 32291, 3007, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 873, 330, 334, 16708, 311, 444, 12225, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 9434, 204, 268, 320, 204, 268, 314, 10473, 1698, 1097, 292, 275, 1400, 33611, 204, 268, 11958, 68, 644, 289, 15266, 23, 13, 71, 12, 16710, 276, 502, 640, 3970, 48597, 12, 465, 370, 806, 644, 789, 12743, 374, 204, 268, 11958, 289, 7837, 12309, 730, 13, 9113, 68, 644, 14, 204, 268, 397, 508, 11958, 19, 11174, 13, 13378, 68, 492, 17, 4916, 68, 481, 34, 16684, 68, 481, 330, 204, 305, 980, 987, 499, 1962, 11958, 19, 8800, 424, 867, 265, 2063, 14725, 440, 521, 1214, 896, 353, 9263, 431, 204, 268, 902, 31, 204, 305, 407, 2234, 13, 26712, 38307, 84, 7637, 41141, 17, 370, 789, 20480, 13, 13378, 68, 492, 736, 5000, 2378, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 896, 289, 308, 8761, 93, 473, 12, 540, 2247, 226, 314, 2247, 3154, 896, 204, 264, 17910, 289, 10276, 756, 38307, 84, 7637, 41141, 13, 644, 14, 204, 615, 264, 943, 289, 388, 5975, 17, 5179, 9851, 204, 264, 4916, 68, 481, 289, 388, 1834, 353, 4916, 424, 7, 204, 615, 264, 8079, 68, 1454, 289, 17910, 19, 17780, 13, 1454, 17, 4916, 68, 481, 14, 204, 264, 456, 499, 42677, 943, 2180, 8079, 68, 1454, 14, 204, 615, 264, 12225, 68, 1454, 289, 17910, 19, 20480, 13, 16452, 68, 1454, 17, 4916, 68, 481, 14, 204, 264, 456, 499, 47019, 943, 2180, 12225, 68, 1454, 19, 5286, 499, 3102, 18, 29, 3687, 204, 0, 6674, 5553, 946, 8996, 2680, 85, 311, 10504, 887, 204, 56, 44024, 2717, 299, 30678, 311, 636, 275, 904, 1874, 311, 2073, 1017, 3346, 3888, 560, 4461, 1475, 4030, 329, 8374, 685, 275, 2073, 497, 1475, 19, 204, 6674, 5553, 946, 8996, 13157, 4193, 38573, 17, 329, 47491, 2804, 292, 1017, 1813, 348, 5268, 19, 1547, 28534, 19972, 9056, 329, 7894, 311, 2390, 275, 23007, 496, 1895, 348, 3094, 48325, 292, 3307, 19, 204, 6674, 5553, 946, 696, 787, 29009, 4658, 2459, 275, 10931, 311, 2717, 329, 10647, 6705, 17, 7345, 329, 8660, 496, 529, 3287, 329, 6826, 311, 1475, 7870, 42540, 329, 3307, 19, 204, 5797, 2459, 322, 53, 18, 27, 14, 630, 36141, 1462, 1887, 6939, 37193, 10582, 25486, 292, 17299, 17696, 15483, 19, 334, 15483, 1340, 311, 2390, 16244, 3269, 6173, 292, 4998, 311, 21536, 1017, 6121, 17, 26975, 1475, 311, 13290, 329, 700, 275, 8660, 302, 5261, 329, 311, 6635, 1017, 15729, 19, 334, 15483, 874, 19424, 273, 4883, 6061, 292, 275, 2384, 332, 354, 59, 961, 4585, 7455, 329, 783, 6533, 424, 5229, 275, 3859, 19, 204, 6674, 5553, 946, 696, 787, 9206, 618, 1336, 7870, 275, 2344, 292, 1169, 3100, 4699, 329, 353, 49088, 560, 275, 1182, 23636, 17299, 15483, 19, 0, 55, 865, 7011, 70, 31, 38028, 329, 31841, 204, 13263, 266, 3490, 1856, 444, 19599, 329, 12331, 630, 275, 17338, 2237, 19, 39937, 3490, 2549, 1895, 273, 1874, 2909, 5726, 329, 34437, 19, 30739, 7011, 70, 353, 1051, 302, 275, 7498, 4042, 496, 4767, 1910, 1880, 292, 7504, 3054, 19, 9419, 2249, 884, 88, 32460, 2909, 1025, 30739, 7011, 70, 19, 204, 55, 865, 7011, 70, 353, 20166, 560, 4720, 2292, 329, 18544, 299, 302, 275, 7498, 19, 1058, 7498, 2407, 5971, 13605, 17987, 17, 556, 266, 17, 9621, 329, 3811, 41681, 19, 9496, 1880, 11512, 3067, 622, 3804, 331, 70, 448, 44157, 1882, 275, 7830, 7341, 329, 1120, 1698, 20450, 5287, 1330, 275, 2407, 17517, 30222, 19, 30739, 7011, 70, 508, 1698, 8095, 3731, 292, 7498, 1848, 1101, 1741, 1425, 3253, 7150, 19, 204, 673, 4710, 5127, 348, 275, 2641, 3253, 302, 30739, 7011, 70, 353, 508, 9002, 46872, 19, 3846, 1422, 529, 754, 1910, 18738, 496, 529, 12459, 12551, 311, 444, 275, 5127, 348, 275, 3253, 302, 622, 3804, 331, 70, 5104, 521, 40506, 19, 852, 19460, 302, 4440, 3171, 1573, 3011, 3117, 329, 8797, 3117, 353, 12551, 311, 444, 1051, 302, 275, 2727, 10769, 348, 275, 622, 3804, 331, 70, 19, 14262, 12459, 12551, 5127, 353, 275, 11954, 9757, 19, 40612, 74, 5583, 4042, 329, 8797, 2263, 17286, 329, 1533, 16954, 1784, 1425, 43802, 275, 2407, 19, 204, 5009, 1856, 2379, 496, 1422, 353, 1236, 19679, 23128, 348, 622, 3804, 331, 70, 2407, 19, 3355, 17, 275, 2407, 2549, 444, 14771, 311, 5068, 13405, 11312, 329, 2549, 1425, 47528, 275, 2620, 19, 3665, 618, 4260, 6321, 273, 39350, 23502, 521, 732, 1048, 18, 1947, 18, 5951, 1913, 787, 20750, 311, 636, 17712, 19, 3065, 353, 1425, 16244, 15781, 2755, 348, 808, 2407, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9024, 5086, 17, 16127, 15278, 529, 6028, 448, 275, 2765, 4248, 348, 622, 3804, 331, 70, 19, 334, 16127, 15278, 529, 9395, 6639, 448, 275, 1225, 6497, 1025, 275, 7498, 17, 523, 275, 5043, 18525, 19, 1058, 5519, 353, 2202, 25196, 329, 1583, 508, 11139, 1169, 9233, 1653, 6126, 19, 204, 3728, 353, 16567, 36333, 430, 344, 36, 204, 673, 1848, 329, 19309, 302, 7498, 13909, 273, 11897, 2479, 292, 35926, 2077, 14748, 19, 334, 42800, 23725, 356, 4207, 292, 2077, 7498, 6626, 42800, 266, 17, 928, 4658, 1848, 311, 2077, 7498, 19, 4168, 275, 5627, 302, 42800, 266, 6401, 2223, 17, 1675, 2077, 7498, 1848, 6401, 3060, 9373, 2317, 273, 2407, 13018, 448, 6053, 36333, 430, 344, 19, 1058, 2407, 2549, 444, 13861, 3913, 311, 1910, 10769, 1702, 10789, 311, 22735, 329, 3913, 311, 1653, 6126, 302, 1429, 11458, 19, 22106, 6053, 36333, 430, 344, 353, 508, 273, 21216, 7155, 2407, 17, 5862, 17, 1051, 1856, 44186, 4070, 490, 11050, 311, 5068, 275, 7498, 3472, 1182, 9373, 329, 794, 32777, 447, 19, 3065, 529, 754, 1910, 2914, 311, 23128, 17, 4070, 329, 5068, 275, 6053, 36333, 430, 344, 19, 204, 19243, 35926, 275, 3200, 302, 5519, 17, 1051, 1856, 3126, 275, 1187, 302, 6053, 36333, 430, 344, 19, 24962, 292, 48760, 1870, 2549, 722, 292, 6053, 36333, 430, 344, 19, 1765, 1763, 17, 38942, 292, 24704, 21506, 1870, 2549, 2931, 275, 37392, 344, 19, 204, 14167, 9940, 353, 273, 1187, 302, 37392, 344, 496, 353, 5971, 1193, 4751, 275, 1880, 21656, 4166, 3382, 19, 592, 1429, 2910, 17, 6053, 36333, 430, 344, 2549, 1425, 1336, 3913, 311, 17737, 7498, 329, 904, 7498, 4042, 329, 9745, 19, 828, 872, 3480, 13055, 4070, 275, 6053, 36333, 430, 344, 17, 490, 353, 4037, 311, 6321, 273, 39350, 23502, 19, 332, 39350, 23502, 1784, 7260, 275, 1187, 302, 6053, 36333, 430, 344, 1924, 4109, 5962, 4155, 19, 5512, 566, 1784, 8789, 275, 2765, 1913, 787, 20750, 5575, 311, 1214, 7498, 2407, 19, 828, 275, 1419, 5519, 3756, 508, 1225, 2590, 17, 1675, 275, 8634, 1784, 48385, 11772, 5519, 1702, 448, 16127, 5519, 17, 7498, 1464, 961, 521, 8912, 1464, 961, 19, 204, 2841, 529, 754, 1910, 7498, 4101, 11366, 521, 26293, 3332, 275, 3477, 311, 6018, 275, 2765, 1988, 348, 1214, 6053, 36333, 430, 344, 1844, 19, 0, 647, 1875, 204, 647, 1127, 204, 647, 304, 204, 647, 690, 204, 531, 1498, 532, 2334, 17, 5006, 17, 1061, 17, 783, 17, 1535, 204, 647, 5634, 19, 3520, 204, 647, 5634, 19, 2184, 9424, 204, 647, 3238, 204, 647, 2821, 204, 204, 8, 4861, 204, 6355, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 31720, 379, 481, 534, 204, 204, 461, 1151, 68, 1775, 13, 553, 68, 546, 31, 394, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 273, 2084, 510, 329, 2584, 1163, 4578, 448, 273, 955, 19, 204, 615, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 305, 407, 1875, 19, 986, 13, 75, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 510, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 1775, 13, 553, 68, 546, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 2334, 694, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 273, 955, 311, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 264, 424, 322, 1665, 64, 325, 17, 2334, 1037, 334, 424, 311, 2281, 311, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 465, 3759, 8435, 491, 379, 92, 534, 448, 283, 31, 204, 268, 1875, 19, 4573, 13, 481, 17, 283, 17, 8851, 20265, 89, 534, 204, 264, 1127, 19, 14925, 13, 553, 68, 546, 465, 3759, 8435, 491, 510, 68, 546, 14, 204, 204, 461, 4897, 68, 1217, 13, 1217, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 1445, 397, 490, 1583, 508, 1337, 19, 204, 615, 264, 457, 31, 204, 264, 7892, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 264, 320, 204, 264, 1127, 19, 8240, 13, 1217, 68, 546, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 461, 4897, 68, 481, 1217, 13, 1509, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 23909, 292, 275, 424, 1445, 397, 490, 1583, 508, 1337, 19, 204, 615, 264, 457, 31, 204, 264, 860, 417, 322, 325, 330, 334, 588, 302, 275, 23909, 19, 204, 264, 320, 204, 264, 4897, 68, 1217, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 860, 417, 602, 204, 204, 461, 1151, 68, 481, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 424, 497, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 21584, 68, 2029, 13, 11498, 17, 30404, 14, 204, 264, 407, 1151, 68, 1775, 13, 553, 68, 546, 14, 204, 204, 461, 21584, 68, 2029, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 325, 66, 289, 443, 17, 7929, 31, 394, 289, 3759, 1775, 534, 393, 394, 31, 204, 264, 320, 204, 264, 3989, 275, 510, 832, 348, 273, 800, 1034, 588, 329, 1445, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 264, 7929, 322, 325, 330, 334, 510, 7929, 19, 1243, 311, 3759, 1775, 2625, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 510, 832, 19, 204, 264, 320, 204, 264, 397, 508, 304, 19, 4054, 13, 87, 17081, 64, 19, 70, 18, 95, 21, 18, 30, 38, 18, 63, 47230, 10809, 21842, 23176, 330, 204, 268, 980, 1319, 13, 75, 7, 1962, 23176, 463, 11498, 743, 204, 264, 397, 30404, 31, 204, 268, 407, 1127, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 30404, 17, 23176, 465, 7929, 14, 204, 264, 902, 31, 204, 268, 407, 1127, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 23176, 465, 7929, 14, 204, 204, 461, 424, 68, 4332, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 424, 510, 2560, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 1109, 31, 959, 397, 275, 510, 2560, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 21584, 68, 2029, 13, 11498, 17, 30404, 14, 204, 264, 407, 1127, 19, 546, 19, 4332, 13, 553, 68, 546, 14, 204, 204, 461, 2281, 68, 481, 13, 11498, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 2334, 648, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 424, 311, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 424, 322, 1665, 64, 325, 17, 2334, 1037, 334, 424, 311, 2281, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 4897, 68, 1217, 13, 6355, 68, 4887, 14, 204, 264, 2281, 68, 1775, 13, 17756, 68, 2029, 13, 11498, 17, 30404, 659, 424, 14, 204, 204, 461, 5634, 68, 655, 13, 5404, 31, 5006, 17, 1040, 31, 1535, 64, 339, 66, 289, 443, 14, 393, 783, 64, 5588, 744, 204, 264, 320, 204, 264, 2605, 273, 5634, 4184, 348, 273, 4651, 19, 204, 615, 264, 457, 31, 204, 264, 4651, 322, 9261, 330, 334, 4651, 311, 13767, 1048, 19, 204, 264, 1040, 322, 4437, 64, 339, 1037, 334, 1113, 1040, 302, 2696, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 5588, 744, 334, 458, 302, 2696, 497, 275, 4651, 19, 204, 264, 320, 204, 264, 33009, 289, 5634, 19, 3520, 19, 12392, 13, 1129, 34, 765, 14, 397, 1040, 902, 5634, 19, 2184, 9424, 19, 38154, 1570, 374, 204, 264, 407, 458, 13, 11922, 19, 2062, 13, 5404, 602, 204, 204, 461, 906, 976, 68, 1087, 374, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 275, 954, 510, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 954, 510, 19, 204, 264, 320, 204, 264, 954, 68, 6696, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 31720, 379, 1087, 19, 1775, 534, 204, 264, 407, 1151, 68, 1775, 13, 1087, 68, 6696, 14, 204, 204, 68, 1087, 289, 906, 976, 68, 1087, 374, 204, 204, 461, 1151, 68, 1087, 374, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 475, 275, 954, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 954, 19, 204, 264, 320, 204, 264, 407, 906, 1087, 204, 204, 461, 7399, 68, 2029, 13, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 16089, 273, 2049, 7399, 560, 13931, 2872, 2724, 19, 204, 615, 264, 457, 31, 204, 264, 588, 322, 325, 330, 334, 2049, 311, 1895, 7399, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 7399, 2049, 19, 204, 264, 320, 204, 264, 513, 289, 304, 19, 1509, 13, 87, 18380, 67, 19, 70, 18, 17530, 18, 63, 21, 18, 30, 47230, 10809, 491, 2325, 47848, 588, 14, 204, 264, 2136, 304, 19, 4054, 13, 87, 17081, 64, 19, 70, 18, 17530, 18, 63, 21, 18, 30, 47230, 10809, 21842, 513, 659, 283, 1954, 494, 98, 353, 508, 273, 7399, 2049, 7, 204, 264, 407, 513, 204, 204, 461, 2497, 68, 27999, 13, 3766, 31, 3238, 19, 6261, 17, 30404, 31, 394, 17, 6398, 31, 5006, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 1048, 21028, 19, 204, 615, 264, 457, 31, 204, 264, 1732, 322, 11996, 19, 6261, 330, 334, 1732, 311, 732, 19, 204, 264, 30404, 322, 325, 330, 334, 1445, 588, 19, 204, 264, 6398, 322, 9261, 330, 334, 741, 311, 2428, 348, 848, 5662, 19, 204, 264, 320, 204, 264, 1732, 19, 826, 68, 2389, 6905, 91, 491, 6262, 7952, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 10660, 1714, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 86, 491, 6262, 1625, 18, 1835, 491, 2984, 833, 1625, 68, 1835, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 5058, 508, 2248, 5634, 14389, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 75, 491, 6262, 2741, 491, 17067, 833, 23525, 53, 491, 1187, 34, 272, 19, 7354, 17, 1340, 833, 8865, 560, 5662, 44351, 322, 10381, 7277, 11953, 204, 264, 1732, 19, 826, 68, 2389, 6905, 87, 491, 6262, 747, 84, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 5058, 808, 2086, 2219, 397, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 490, 353, 12208, 4151, 348, 275, 5662, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 954, 289, 1151, 68, 1087, 374, 204, 264, 17435, 68, 27999, 289, 758, 13, 1087, 19, 505, 611, 43652, 68, 27999, 491, 36020, 204, 204, 264, 4897, 68, 481, 1217, 13, 7094, 14, 204, 204, 264, 2042, 19, 1087, 289, 954, 204, 204, 264, 436, 906, 17201, 68, 15440, 13, 9519, 68, 873, 31, 1061, 64, 325, 17, 2334, 694, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 5662, 1856, 444, 4371, 19, 204, 822, 268, 457, 31, 204, 268, 12945, 68, 873, 322, 1665, 64, 325, 17, 2334, 1037, 334, 5662, 955, 19, 204, 822, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 5662, 1856, 444, 4371, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 397, 12945, 68, 873, 736, 5022, 68, 417, 839, 292, 17435, 68, 27999, 31, 204, 305, 407, 1078, 204, 204, 268, 397, 2042, 19, 2741, 329, 508, 2042, 19, 2741, 19, 1803, 13, 9519, 68, 873, 736, 5022, 68, 417, 18311, 204, 305, 407, 1078, 204, 204, 268, 397, 508, 2042, 19, 747, 84, 31, 204, 305, 23176, 289, 7399, 68, 2029, 13, 9519, 68, 873, 736, 5022, 68, 417, 2378, 204, 305, 397, 424, 68, 4332, 13, 11498, 17, 30404, 330, 204, 485, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 1419, 68, 27999, 289, 458, 13, 976, 68, 481, 611, 655, 3063, 204, 264, 397, 508, 2042, 19, 7952, 329, 508, 2042, 19, 1625, 68, 1835, 31, 204, 268, 5530, 289, 30404, 19, 14246, 12394, 204, 268, 1419, 68, 27999, 289, 5634, 19, 3520, 19, 12392, 13, 5000, 789, 2062, 13, 3474, 68, 27999, 14, 204, 264, 348, 12945, 68, 873, 292, 1419, 68, 27999, 31, 204, 268, 397, 508, 906, 17201, 68, 15440, 13, 9519, 68, 873, 330, 204, 305, 3524, 204, 268, 6398, 13, 1038, 17, 12945, 68, 873, 14, 204, 204, 461, 12268, 13, 10656, 31, 783, 64, 5588, 648, 300, 31, 421, 14, 393, 783, 64, 1218, 64, 5588, 2440, 204, 264, 320, 204, 264, 21663, 273, 458, 1025, 12268, 19, 204, 615, 264, 457, 31, 204, 264, 15409, 322, 1218, 64, 5588, 1037, 334, 458, 311, 3404, 19, 204, 264, 300, 322, 339, 330, 334, 5212, 1302, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 1218, 64, 5588, 2440, 334, 458, 302, 12268, 19, 204, 264, 320, 204, 264, 407, 551, 10656, 64, 78, 31, 78, 465, 300, 66, 348, 296, 292, 933, 13, 21, 17, 1245, 13, 10656, 659, 300, 2395, 204, 204, 461, 690, 325, 13, 3450, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8109, 273, 4521, 311, 273, 782, 19, 204, 615, 264, 457, 31, 204, 264, 14018, 322, 339, 330, 334, 4521, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 4521, 448, 273, 782, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 11493, 62, 10, 82, 10, 73, 20406, 45, 10, 50, 10, 56, 491, 690, 19, 37100, 13, 3450, 602, 204, 204, 461, 1489, 325, 13, 3450, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8109, 273, 4521, 311, 273, 1489, 782, 19, 204, 615, 264, 457, 31, 204, 264, 14018, 322, 339, 330, 334, 4521, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 1489, 782, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 11493, 62, 5079, 82, 5079, 73, 491, 690, 19, 37100, 13, 3450, 602, 204, 204, 461, 1417, 1709, 13, 3470, 31, 2334, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 437, 726, 292, 273, 12925, 1883, 19, 204, 615, 264, 457, 31, 204, 264, 5026, 322, 5588, 330, 334, 726, 311, 456, 19, 204, 264, 320, 204, 264, 456, 13, 1775, 19, 7362, 13, 3470, 17, 8851, 34, 23, 602, 204, 204, 461, 690, 68, 4266, 13, 4266, 31, 5006, 17, 2042, 31, 783, 64, 5588, 66, 289, 7541, 6416, 31, 1061, 64, 325, 17, 2334, 66, 289, 12881, 393, 2334, 31, 204, 264, 320, 204, 264, 15576, 273, 741, 2428, 19, 204, 615, 264, 457, 31, 204, 264, 6398, 322, 9261, 330, 334, 741, 311, 2428, 19, 204, 264, 2042, 322, 1218, 64, 5588, 1037, 334, 1906, 311, 1879, 311, 275, 741, 19, 1243, 311, 44138, 204, 264, 6416, 322, 1665, 64, 325, 17, 2334, 1037, 334, 4541, 1906, 311, 1879, 311, 275, 741, 19, 1243, 311, 29577, 204, 615, 264, 475, 31, 204, 264, 2334, 31, 334, 722, 302, 275, 741, 2428, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 513, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 13, 75, 7, 13203, 7117, 463, 409, 338, 1012, 98, 3331, 431, 204, 264, 407, 513, 204, 204, 461, 20573, 13, 6169, 31, 818, 17, 424, 31, 783, 64, 996, 694, 393, 818, 31, 204, 264, 320, 204, 264, 3989, 273, 20573, 19, 204, 615, 264, 457, 31, 204, 264, 2847, 322, 996, 330, 334, 20573, 311, 949, 19, 204, 264, 424, 322, 1218, 64, 996, 1037, 334, 424, 311, 949, 275, 20573, 497, 19, 204, 615, 264, 475, 31, 204, 264, 818, 31, 334, 3392, 20573, 19, 204, 264, 320, 204, 264, 2282, 68, 481, 289, 2282, 13, 481, 14, 204, 264, 724, 289, 322, 1796, 13, 5518, 68, 481, 14, 338, 368, 14, 540, 2847, 204, 264, 283, 289, 2821, 19, 11062, 13, 80, 14, 204, 264, 279, 289, 2821, 19, 16304, 13, 80, 14, 204, 264, 397, 283, 564, 279, 31, 204, 268, 407, 2282, 68, 481, 64, 339, 13, 80, 2395, 204, 264, 303, 21, 289, 2282, 68, 481, 64, 339, 13, 75, 2395, 540, 322, 72, 18, 80, 14, 204, 264, 303, 22, 289, 2282, 68, 481, 64, 339, 13, 72, 2395, 540, 322, 80, 18, 75, 14, 204, 264, 407, 303, 21, 16, 73, 22, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1732, 289, 3238, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6261, 13, 2749, 833, 5063, 1265, 534, 204, 264, 2497, 68, 27999, 13, 3766, 17, 379, 2569, 68, 1217, 491, 4464, 2042, 17, 12945, 68, 873, 31, 456, 13, 9519, 68, 873, 602, 204, 0, 10486, 5102, 302, 33296, 322, 53, 19, 49, 19, 18386, 18, 21627, 32, 19736, 29993, 925, 38658, 789, 334, 717, 3938, 30678, 5607, 633, 1308, 273, 3210, 40351, 275, 24686, 6982, 928, 27444, 4680, 329, 24260, 4680, 2979, 1741, 444, 30274, 17, 311, 1308, 273, 2548, 348, 275, 11531, 302, 1702, 27444, 4680, 329, 24260, 4680, 17, 329, 311, 3074, 1702, 3214, 448, 1741, 444, 9029, 311, 7940, 275, 5356, 302, 275, 4070, 543, 329, 11531, 302, 8341, 41162, 329, 47765, 17634, 3343, 204, 6895, 21428, 13704, 1683, 275, 9772, 22705, 26449, 5102, 353, 1305, 7651, 292, 275, 36553, 302, 275, 548, 19, 56, 19, 8955, 302, 275, 38937, 322, 21290, 22, 14, 329, 7306, 560, 27903, 22, 12, 720, 23845, 329, 25301, 8544, 19, 4862, 299, 5035, 329, 19559, 529, 6193, 292, 275, 8756, 302, 16328, 3999, 6402, 17, 13279, 2753, 322, 45986, 8597, 329, 22470, 29321, 659, 14481, 368, 322, 58, 19, 56, 19, 23845, 329, 25301, 8544, 17, 8955, 302, 275, 38937, 659, 3685, 19203, 565, 17, 5565, 3139, 322, 10981, 22705, 329, 45413, 7175, 25301, 329, 32111, 789, 34640, 302, 275, 19559, 17, 2864, 273, 458, 302, 4680, 9003, 6028, 27444, 521, 24260, 17, 618, 444, 8744, 560, 4695, 311, 275, 15792, 302, 9772, 22705, 26449, 17, 548, 19, 56, 19, 8955, 302, 275, 38937, 17, 23845, 329, 25301, 8544, 17, 11248, 17, 15495, 1199, 19620, 19, 0, 531, 1907, 19, 1479, 532, 30251, 204, 531, 1907, 19, 1479, 532, 4391, 204, 204, 461, 838, 68, 1241, 68, 14595, 13, 204, 264, 1656, 68, 1241, 31, 379, 26685, 1160, 2533, 491, 716, 264, 2260, 68, 1241, 31, 379, 26685, 1160, 2533, 491, 716, 264, 3633, 68, 932, 31, 421, 289, 379, 2533, 32289, 19, 6014, 491, 716, 264, 11829, 68, 3858, 31, 1109, 289, 1078, 17, 716, 264, 838, 68, 1772, 19537, 31, 1109, 289, 959, 204, 14, 393, 379, 2533, 32289, 597, 204, 264, 320, 204, 264, 2605, 273, 717, 3633, 1283, 970, 2731, 19, 204, 204, 264, 457, 31, 204, 268, 1656, 68, 1241, 31, 334, 1656, 944, 292, 275, 3633, 19, 204, 268, 2260, 68, 1241, 31, 334, 2260, 944, 292, 275, 3633, 19, 204, 268, 3633, 68, 932, 31, 334, 1187, 302, 3633, 322, 2305, 31, 14239, 789, 204, 268, 11829, 68, 3858, 31, 2266, 311, 11829, 275, 1656, 944, 322, 2305, 31, 1078, 789, 204, 268, 838, 68, 1772, 19537, 31, 2266, 311, 838, 273, 9206, 944, 322, 2305, 31, 959, 789, 204, 204, 264, 475, 31, 204, 268, 334, 9932, 1966, 3633, 19, 204, 204, 264, 1632, 31, 204, 268, 30251, 31, 828, 275, 3633, 2861, 2560, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 3633, 2861, 2560, 204, 268, 314, 4496, 636, 68, 276, 68, 1510, 5976, 302, 636, 311, 4516, 16274, 9609, 2710, 204, 268, 4449, 68, 2024, 17, 1966, 289, 4534, 32289, 19, 2856, 19, 505, 68, 276, 68, 1510, 13, 204, 305, 1656, 68, 1241, 34, 3858, 68, 1241, 17, 716, 305, 2260, 68, 1241, 34, 3619, 68, 1241, 17, 716, 305, 3633, 34, 14595, 68, 932, 17, 204, 305, 19636, 2508, 204, 485, 379, 33446, 68, 3858, 597, 11829, 68, 3858, 204, 305, 1211, 204, 268, 1179, 204, 822, 268, 314, 828, 275, 3633, 867, 508, 1966, 17, 490, 2861, 2560, 204, 268, 397, 508, 1966, 31, 204, 305, 980, 30251, 499, 32289, 2861, 2560, 431, 204, 204, 268, 314, 666, 273, 9206, 944, 397, 1945, 204, 268, 397, 838, 68, 1772, 19537, 31, 204, 305, 838, 68, 1772, 19537, 68, 1241, 13, 14028, 68, 2024, 14, 204, 204, 268, 407, 4449, 68, 2024, 204, 204, 264, 827, 30251, 448, 318, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 3633, 2861, 2560, 204, 268, 980, 30251, 499, 32289, 2861, 2560, 431, 497, 318, 204, 204, 204, 461, 838, 68, 1772, 19537, 68, 1241, 13, 14595, 31, 379, 2533, 32289, 534, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 9206, 944, 348, 273, 800, 3633, 19, 204, 204, 264, 457, 31, 204, 268, 3633, 31, 334, 3633, 348, 928, 311, 838, 273, 9206, 944, 19, 204, 264, 320, 204, 264, 314, 35956, 944, 5247, 3975, 9211, 3237, 204, 264, 1879, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 647, 17373, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 1498, 532, 1061, 17, 2334, 204, 204, 8, 968, 3454, 348, 12237, 299, 1094, 329, 19981, 204, 8087, 55, 2267, 12021, 68, 40582, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 21192, 289, 10175, 13, 3282, 17, 379, 8087, 55, 2267, 12021, 68, 40582, 491, 12881, 204, 8087, 55, 7467, 68, 43641, 31, 1061, 64, 325, 17, 2334, 66, 289, 10175, 13, 3282, 17, 379, 8087, 55, 7467, 68, 43641, 491, 12881, 204, 204, 461, 532, 68, 809, 13, 809, 68, 546, 31, 394, 14, 393, 1187, 31, 204, 264, 320, 204, 264, 4390, 273, 570, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 546, 322, 325, 330, 334, 832, 311, 275, 570, 322, 74, 19, 76, 2458, 379, 748, 19, 1618, 19, 1655, 2687, 534, 204, 204, 264, 475, 31, 204, 268, 1187, 31, 334, 15846, 570, 850, 204, 204, 264, 1632, 31, 204, 268, 16581, 31, 828, 275, 570, 2950, 444, 15846, 204, 268, 13289, 31, 828, 275, 570, 1583, 508, 1337, 292, 275, 2413, 204, 264, 320, 204, 264, 314, 3736, 275, 570, 832, 1025, 2413, 329, 570, 1987, 204, 264, 2413, 68, 546, 17, 570, 68, 417, 289, 570, 68, 546, 19, 33800, 28408, 368, 14, 204, 615, 264, 314, 4390, 275, 2413, 204, 264, 810, 31, 204, 268, 2413, 289, 17373, 19, 647, 68, 3909, 13, 3909, 68, 546, 14, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 980, 16581, 13, 75, 7, 3504, 311, 532, 2413, 3318, 3909, 68, 546, 14800, 463, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 74, 743, 204, 615, 264, 314, 763, 275, 570, 497, 275, 2413, 204, 264, 810, 31, 204, 268, 407, 10175, 13, 3909, 17, 570, 68, 417, 14, 204, 264, 827, 13289, 31, 204, 268, 980, 13289, 13, 75, 7, 1655, 3318, 809, 68, 417, 2867, 508, 1193, 292, 2413, 3318, 3909, 68, 546, 15049, 204, 204, 461, 636, 68, 2819, 13, 1479, 68, 417, 31, 394, 14, 393, 2334, 31, 204, 264, 320, 204, 264, 763, 273, 1104, 497, 275, 502, 9481, 7467, 68, 43641, 5465, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 204, 204, 264, 475, 31, 204, 268, 2334, 31, 334, 1104, 726, 204, 204, 264, 1632, 31, 204, 268, 7323, 31, 828, 275, 1104, 353, 508, 1193, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1104, 2560, 292, 275, 502, 9481, 7467, 68, 43641, 204, 264, 397, 1863, 68, 417, 508, 292, 502, 9481, 7467, 68, 43641, 31, 204, 268, 980, 7323, 13, 75, 7, 7073, 3318, 1479, 68, 417, 2867, 508, 1193, 431, 204, 615, 264, 314, 455, 275, 1104, 726, 204, 264, 407, 502, 9481, 7467, 68, 43641, 64, 1479, 68, 417, 66, 204, 204, 461, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 31, 1187, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 2440, 204, 264, 320, 204, 264, 763, 275, 1104, 2914, 348, 273, 800, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 932, 330, 334, 570, 850, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 2440, 334, 1104, 2914, 348, 275, 570, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 502, 9481, 2267, 12021, 68, 40582, 311, 1020, 275, 570, 204, 264, 348, 570, 68, 546, 17, 1863, 68, 4018, 292, 502, 9481, 2267, 12021, 68, 40582, 19, 1996, 1293, 204, 268, 314, 4390, 275, 570, 497, 275, 832, 204, 268, 570, 68, 676, 289, 532, 68, 809, 13, 809, 68, 546, 14, 204, 822, 268, 314, 778, 397, 275, 570, 4083, 275, 800, 570, 204, 268, 397, 570, 68, 676, 564, 570, 31, 204, 305, 314, 455, 275, 1104, 2914, 348, 275, 570, 204, 305, 407, 1863, 68, 4018, 204, 615, 264, 314, 455, 437, 1392, 955, 397, 275, 570, 353, 508, 1193, 204, 264, 407, 2087, 204, 204, 461, 636, 68, 6182, 13, 1648, 31, 726, 17, 1863, 68, 417, 31, 394, 17, 4248, 68, 417, 31, 394, 14, 393, 2334, 31, 204, 264, 320, 204, 264, 763, 437, 4248, 348, 273, 800, 1014, 17, 1104, 17, 329, 4248, 588, 19, 204, 204, 264, 457, 31, 204, 268, 1014, 322, 1386, 330, 334, 1014, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 204, 268, 4248, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4248, 204, 204, 264, 475, 31, 204, 268, 2334, 31, 334, 4248, 700, 17, 521, 443, 397, 508, 1193, 204, 264, 320, 204, 264, 314, 763, 275, 570, 850, 302, 275, 1014, 204, 264, 570, 289, 1014, 3925, 676, 367, 204, 615, 264, 314, 763, 275, 1104, 2914, 348, 275, 570, 204, 264, 1863, 68, 4018, 289, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 14, 204, 615, 264, 314, 778, 397, 275, 1104, 329, 4248, 1337, 292, 275, 2914, 204, 264, 397, 1863, 68, 417, 292, 1863, 68, 4018, 329, 4248, 68, 417, 292, 1863, 68, 4018, 64, 1479, 68, 417, 744, 204, 268, 314, 455, 275, 4248, 700, 204, 268, 407, 1863, 68, 4018, 64, 1479, 68, 417, 1799, 6182, 68, 417, 66, 204, 615, 264, 314, 455, 443, 397, 275, 4248, 353, 508, 1193, 204, 264, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 273, 570, 832, 204, 264, 570, 68, 546, 289, 388, 748, 19, 1618, 19, 1655, 2687, 7, 204, 615, 264, 314, 4390, 275, 570, 204, 264, 570, 289, 532, 68, 809, 13, 809, 68, 546, 14, 204, 615, 264, 314, 763, 275, 1104, 2914, 348, 275, 570, 204, 264, 1863, 68, 4018, 289, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 14, 204, 615, 264, 314, 1198, 275, 1104, 2914, 204, 264, 456, 13, 1479, 68, 4018, 14, 204, 615, 264, 314, 968, 437, 1014, 302, 275, 570, 204, 264, 1014, 289, 570, 374, 204, 615, 264, 314, 763, 437, 4248, 348, 275, 1014, 204, 264, 4248, 289, 636, 68, 6182, 13, 1648, 17, 388, 1479, 68, 417, 528, 388, 6182, 68, 417, 431, 204, 615, 264, 314, 1198, 275, 4248, 700, 204, 264, 456, 13, 6182, 14, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 8955, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 8269, 292, 275, 12347, 19, 204, 615, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8269, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 8269, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 2342, 289, 1094, 19, 7320, 374, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 676, 10903, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3200, 292, 275, 12347, 19, 204, 615, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3200, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 3200, 19, 204, 268, 8269, 322, 25407, 330, 334, 8269, 496, 11138, 275, 3200, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 2342, 289, 1094, 19, 7320, 374, 204, 264, 8269, 289, 1094, 19, 4483, 13, 25407, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 12583, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1165, 1265, 31, 204, 461, 838, 68, 15114, 13, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 417, 31, 394, 17, 2342, 31, 394, 14, 393, 8955, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 8269, 19, 204, 615, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8269, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 8269, 19, 204, 615, 264, 475, 31, 204, 268, 8955, 31, 334, 9932, 1966, 8269, 19, 204, 264, 320, 204, 264, 407, 8955, 19, 2856, 19, 1510, 13, 417, 34, 417, 17, 2342, 34, 2749, 14, 204, 204, 461, 838, 68, 6270, 13, 417, 31, 394, 17, 2342, 31, 394, 17, 8269, 31, 8955, 14, 393, 10903, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 3200, 19, 204, 615, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3200, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 3200, 19, 204, 268, 8269, 322, 25407, 330, 334, 8269, 496, 11138, 275, 3200, 19, 204, 615, 264, 475, 31, 204, 268, 10903, 31, 334, 9932, 1966, 3200, 19, 204, 264, 320, 204, 264, 407, 10903, 19, 2856, 19, 1510, 13, 417, 34, 417, 17, 2342, 34, 2749, 17, 8269, 34, 15114, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 8269, 204, 264, 8269, 289, 838, 68, 15114, 499, 21885, 8134, 528, 388, 673, 5431, 6218, 8269, 1280, 204, 615, 264, 314, 666, 717, 9442, 204, 264, 3200, 22, 289, 838, 68, 6270, 499, 21867, 311, 23456, 528, 388, 2021, 11856, 311, 7786, 3200, 7729, 8269, 14, 204, 264, 3200, 23, 289, 838, 68, 6270, 499, 989, 15867, 981, 329, 36451, 528, 388, 38, 3200, 523, 424, 9901, 329, 11619, 7729, 8269, 14, 204, 615, 264, 314, 1198, 275, 8269, 329, 1163, 9442, 204, 264, 456, 13, 15114, 19, 417, 14, 204, 264, 348, 3200, 292, 8269, 19, 12583, 19, 668, 1293, 204, 268, 456, 13, 6270, 19, 417, 14, 204, 0, 38, 832, 720, 82, 6592, 6944, 4558, 275, 6204, 302, 273, 2415, 13979, 440, 273, 1653, 1277, 302, 1607, 82, 19, 2416, 1020, 275, 1864, 302, 275, 832, 17, 572, 1043, 1519, 311, 1020, 275, 1864, 302, 275, 5406, 2415, 6204, 275, 13979, 19, 204, 204, 673, 1653, 1277, 302, 275, 5406, 2415, 353, 275, 1653, 1277, 302, 275, 16599, 2415, 13576, 8697, 275, 2198, 302, 275, 832, 31, 204, 34, 1607, 82, 338, 435, 13, 26, 82, 14, 204, 34, 1607, 82, 338, 931, 82, 204, 34, 4950, 82, 204, 204, 673, 1864, 302, 275, 832, 353, 275, 2712, 1283, 275, 1864, 302, 275, 16599, 2415, 329, 275, 1864, 302, 275, 5406, 2415, 31, 204, 8928, 302, 275, 832, 289, 322, 2051, 82, 14, 3231, 338, 322, 3276, 82, 14, 3231, 204, 34, 10850, 82, 3231, 338, 1132, 2051, 82, 3231, 204, 34, 22063, 82, 3231, 204, 204, 1449, 1020, 275, 2264, 302, 28116, 299, 275, 832, 630, 273, 2233, 302, 7613, 10835, 841, 931, 82, 3231, 17, 572, 1043, 1519, 311, 1020, 685, 1662, 1910, 3416, 302, 931, 82, 3231, 529, 292, 22063, 82, 3231, 31, 204, 38134, 82, 3231, 802, 931, 82, 3231, 289, 27961, 204, 204, 9538, 17, 572, 4122, 275, 542, 302, 3416, 560, 275, 2264, 841, 758, 31, 204, 17978, 302, 28116, 299, 289, 27961, 610, 7613, 10835, 204, 34, 7613, 681, 3534, 473, 0, 658, 29083, 37182, 204, 204, 673, 12652, 5514, 17, 3667, 13018, 311, 448, 388, 83, 5710, 724, 528, 353, 3392, 448, 31, 204, 204, 4292, 1479, 266, 509, 96, 83, 1134, 80, 98, 289, 688, 8151, 96, 83, 40570, 80, 32582, 83, 18, 80, 13664, 1617, 204, 204, 3663, 686, 83, 6, 9, 4504, 275, 8736, 302, 686, 83, 2543, 928, 353, 275, 1351, 302, 830, 2140, 1892, 719, 311, 686, 83, 2176, 204, 204, 1380, 9134, 204, 204, 22, 19, 930, 1571, 84, 10176, 435, 497, 720, 1416, 226, 204, 4292, 1479, 266, 509, 96, 26, 1134, 23, 98, 289, 688, 8151, 96, 26, 40570, 23, 32582, 26, 18, 23, 13664, 98, 289, 688, 8151, 96, 26, 688, 2760, 681, 1134, 23, 688, 2760, 368, 98, 289, 931, 9, 204, 204, 23, 19, 930, 1571, 84, 10176, 720, 497, 435, 1416, 226, 204, 4592, 872, 618, 2964, 5710, 720, 2696, 497, 273, 758, 302, 435, 17, 1743, 1479, 266, 509, 96, 23, 1134, 26, 98, 289, 500, 2176, 204, 204, 24, 19, 930, 1571, 84, 10176, 435, 497, 338, 26, 1416, 226, 204, 1834, 353, 508, 273, 2599, 12652, 5514, 4183, 2404, 275, 2089, 8978, 13456, 311, 1950, 18, 4721, 1892, 19, 3355, 17, 292, 1429, 18655, 17, 490, 4230, 444, 24190, 974, 275, 2089, 348, 2917, 886, 17, 1101, 808, 353, 1182, 11772, 329, 508, 8978, 9811, 292, 4802, 33804, 1154, 19, 204, 204, 25, 19, 930, 1571, 84, 10176, 720, 497, 338, 23, 1416, 226, 204, 16525, 311, 275, 3090, 1763, 17, 808, 1583, 508, 4185, 275, 2599, 1650, 302, 12652, 5692, 19, 204, 204, 26, 19, 930, 1571, 84, 10176, 571, 497, 1168, 1416, 226, 204, 4292, 1479, 266, 509, 96, 28, 1134, 24, 98, 289, 688, 8151, 96, 28, 40570, 24, 32582, 28, 18, 24, 13664, 98, 289, 688, 8151, 96, 28, 688, 2760, 887, 688, 2760, 720, 1134, 24, 688, 2760, 435, 688, 2760, 368, 98, 289, 5924, 9, 204, 204, 27, 19, 930, 1571, 84, 10176, 571, 497, 1132, 1416, 226, 204, 4292, 1479, 266, 509, 96, 29, 1134, 24, 98, 289, 688, 8151, 96, 29, 40570, 24, 32582, 29, 18, 24, 13664, 98, 289, 688, 8151, 96, 29, 688, 2760, 1168, 688, 2760, 887, 1134, 24, 688, 2760, 435, 688, 2760, 368, 98, 289, 10610, 9, 204, 204, 28, 19, 930, 1571, 84, 10176, 681, 497, 10691, 322, 7735, 292, 273, 7667, 12541, 226, 204, 4292, 1479, 266, 509, 96, 8532, 1134, 25, 98, 289, 688, 8151, 96, 8532, 40570, 25, 32582, 8532, 18, 25, 13664, 98, 289, 688, 8151, 96, 8532, 688, 2760, 13316, 688, 2760, 2753, 688, 2760, 10516, 1134, 25, 688, 2760, 571, 688, 2760, 435, 688, 2760, 368, 98, 289, 18534, 17, 28, 1511, 9, 204, 204, 29, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 930, 4290, 302, 24291, 4508, 88, 1416, 226, 204, 3070, 273, 7667, 302, 10691, 5682, 17, 16080, 2989, 5682, 348, 273, 1922, 4658, 31, 204, 9, 51, 289, 688, 1479, 266, 509, 96, 8532, 1134, 2353, 98, 289, 688, 8151, 96, 8532, 40570, 2353, 32582, 8532, 18, 2353, 13664, 98, 289, 688, 8151, 96, 8532, 40570, 2353, 6, 6221, 29121, 289, 887, 4049, 17, 44732, 17, 4656, 30, 17, 9913, 9, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 204, 531, 1907, 19, 1479, 532, 1094, 17, 6447, 204, 531, 1907, 19, 4120, 532, 2557, 204, 647, 1034, 19, 3939, 204, 204, 676, 14501, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 666, 275, 9461, 17, 8953, 17, 329, 9582, 9070, 1094, 440, 1017, 3610, 2357, 19, 204, 264, 320, 204, 264, 6127, 289, 551, 204, 268, 6447, 19, 8057, 748, 578, 68, 19124, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 659, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 968, 275, 9461, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 13528, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 3062, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 13279, 302, 275, 3062, 204, 485, 2448, 1778, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 3917, 204, 485, 314, 17993, 302, 275, 3062, 204, 485, 2448, 7111, 491, 1094, 19, 7320, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 7077, 17, 3749, 34, 1021, 3917, 204, 485, 314, 15082, 811, 348, 275, 3062, 322, 5293, 292, 5448, 14, 204, 485, 2448, 8420, 491, 1094, 19, 29752, 13, 41829, 34, 1975, 3917, 204, 485, 314, 6547, 1666, 302, 275, 3062, 204, 485, 2448, 5982, 68, 492, 491, 1034, 19, 3939, 19, 5141, 756, 33573, 7320, 10206, 204, 485, 314, 7300, 275, 3062, 867, 1966, 204, 485, 2448, 5903, 68, 672, 491, 1094, 19, 12860, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 485, 314, 3682, 275, 3062, 867, 1966, 204, 485, 2448, 5903, 68, 834, 491, 1094, 19, 43244, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 485, 314, 7300, 329, 690, 275, 3062, 867, 1673, 2908, 204, 485, 2448, 8107, 491, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 3917, 204, 485, 314, 3207, 3610, 440, 275, 3062, 204, 485, 2448, 5982, 68, 935, 491, 1094, 19, 12043, 13, 8436, 34, 1021, 17, 5991, 68, 633, 833, 7577, 20, 5982, 68, 427, 35233, 491, 204, 45698, 1340, 68, 492, 833, 38, 2637, 7157, 1376, 292, 275, 4240, 4182, 491, 3749, 34, 1021, 3917, 204, 485, 314, 10784, 302, 275, 3062, 204, 485, 2448, 4020, 491, 1094, 19, 4483, 13, 633, 34, 3282, 19, 10475, 68, 6520, 68, 9534, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 5868, 7192, 560, 5247, 1489, 329, 690, 204, 485, 379, 25554, 597, 29690, 5903, 68, 672, 491, 6159, 5903, 68, 834, 2043, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 968, 275, 8953, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 7627, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 2851, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 4014, 302, 275, 2851, 204, 485, 2448, 417, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 2220, 34, 1021, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 5868, 5981, 560, 588, 204, 485, 379, 25554, 597, 2470, 417, 2043, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 968, 275, 9582, 9070, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 17872, 9070, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 4240, 2557, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 18064, 5850, 3855, 4240, 2557, 529, 758, 719, 204, 485, 2448, 360, 68, 5666, 491, 1094, 19, 10030, 13, 2305, 34, 1975, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 379, 20433, 597, 1078, 17, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 1255, 273, 8624, 12476, 1242, 311, 275, 9461, 570, 348, 5981, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 833, 5982, 491, 204, 305, 588, 833, 7983, 491, 204, 305, 1242, 34, 1618, 19, 13243, 13, 8436, 34, 1021, 17, 311, 833, 7577, 19, 7627, 2008, 204, 305, 17195, 68, 2305, 34, 1021, 17, 204, 268, 5334, 204, 822, 268, 314, 1255, 273, 2220, 6120, 311, 275, 9461, 570, 348, 7286, 329, 5247, 1489, 204, 268, 6447, 19, 17954, 20771, 1449, 4025, 13, 204, 305, 588, 833, 5982, 491, 204, 305, 2220, 68, 18356, 2508, 611, 8420, 491, 379, 5903, 68, 672, 47823, 204, 268, 5334, 204, 264, 2437, 204, 0, 315, 204, 1834, 2413, 4504, 273, 3277, 14050, 783, 1650, 974, 3017, 329, 10130, 19, 204, 3837, 3629, 7800, 311, 838, 17, 1151, 17, 1395, 329, 4032, 4625, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 1779, 68, 1538, 17, 824, 17, 4123, 204, 531, 4433, 68, 18080, 532, 10130, 204, 531, 1804, 532, 1804, 204, 647, 1361, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 748, 19, 1087, 736, 18502, 68, 9326, 68, 12450, 839, 289, 379, 9853, 20304, 6381, 19, 1479, 12, 204, 748, 19, 1087, 736, 18502, 68, 22600, 68, 30813, 839, 289, 1078, 226, 314, 20786, 8557, 13575, 204, 204, 8, 666, 273, 10130, 1014, 204, 1479, 289, 10130, 13, 748, 14, 204, 204, 8, 968, 273, 14050, 570, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 676, 14050, 13, 1479, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11667, 1184, 19, 204, 615, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1781, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 1781, 19, 204, 268, 1966, 322, 2664, 330, 334, 1489, 329, 690, 275, 1781, 867, 1966, 19, 204, 264, 320, 204, 264, 1276, 289, 1863, 19, 4690, 13, 1479, 19, 3937, 17, 4408, 68, 644, 34, 1021, 14, 204, 264, 1666, 289, 1863, 19, 4690, 13, 1479, 19, 4269, 13, 2825, 659, 5943, 34, 1975, 14, 204, 264, 1966, 289, 1863, 19, 4690, 13, 1479, 19, 5691, 17, 1540, 34, 2664, 19, 17226, 14, 204, 615, 264, 436, 589, 6843, 889, 327, 330, 204, 268, 407, 283, 16716, 7289, 463, 327, 19, 359, 38958, 204, 204, 8, 968, 273, 741, 311, 3686, 830, 4625, 497, 275, 1104, 204, 461, 636, 68, 668, 68, 6381, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 4625, 497, 275, 1104, 17, 8783, 560, 5247, 1489, 19, 204, 615, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 14050, 2828, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 830, 4625, 17, 8783, 560, 5247, 1489, 204, 264, 407, 14050, 19, 2120, 19, 1115, 68, 1424, 13, 34288, 19, 5903, 789, 668, 374, 204, 204, 8, 968, 273, 741, 311, 838, 273, 717, 1781, 204, 461, 838, 68, 2607, 13, 2387, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 1781, 440, 275, 800, 1666, 19, 204, 615, 264, 457, 31, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 1781, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 14050, 726, 204, 264, 1781, 289, 14050, 13, 2387, 34, 2387, 14, 204, 264, 810, 31, 204, 268, 314, 1255, 275, 1781, 311, 275, 1104, 2067, 204, 268, 1863, 19, 2488, 19, 826, 13, 2607, 14, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 838, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 741, 311, 4032, 273, 1781, 204, 461, 4032, 68, 2607, 13, 359, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11183, 273, 1781, 440, 275, 800, 1222, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 4032, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 275, 1781, 440, 275, 800, 1222, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 810, 31, 204, 268, 314, 6117, 275, 1781, 497, 275, 1104, 2067, 204, 268, 1863, 19, 2488, 19, 2756, 13, 2607, 14, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 4032, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 741, 311, 1395, 273, 1781, 204, 461, 1395, 68, 2607, 13, 359, 31, 421, 17, 1666, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5307, 273, 1781, 440, 275, 800, 1222, 329, 1666, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 1395, 19, 204, 268, 1666, 322, 325, 330, 334, 717, 1666, 302, 275, 1781, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 275, 1781, 440, 275, 800, 1222, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 1716, 275, 1781, 677, 1666, 204, 264, 1781, 19, 2387, 289, 1666, 204, 264, 810, 31, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 1395, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 5143, 348, 275, 1112, 1472, 204, 37, 748, 19, 3955, 22403, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 461, 1112, 1293, 204, 264, 320, 204, 264, 5133, 4559, 329, 6379, 2164, 348, 275, 1112, 1472, 19, 204, 615, 264, 475, 31, 204, 268, 332, 5703, 2399, 348, 275, 1112, 1472, 17, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 763, 275, 1666, 302, 275, 717, 1781, 497, 275, 798, 424, 204, 268, 1666, 289, 824, 19, 654, 736, 2387, 839, 204, 268, 314, 666, 273, 717, 1781, 204, 268, 838, 68, 2607, 13, 2387, 14, 204, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 12394, 204, 264, 902, 31, 204, 268, 314, 763, 830, 4625, 497, 275, 1104, 204, 268, 4625, 289, 636, 68, 668, 68, 6381, 374, 204, 268, 314, 4784, 275, 1112, 2399, 440, 275, 4625, 204, 268, 407, 2111, 68, 3143, 611, 998, 19, 2079, 491, 4625, 34, 6381, 14, 204, 204, 8, 968, 273, 5143, 348, 12629, 273, 1781, 204, 37, 748, 19, 3955, 4195, 2756, 8121, 339, 31, 359, 16906, 204, 461, 4032, 13, 359, 31, 421, 330, 204, 264, 320, 204, 264, 11183, 273, 1781, 440, 275, 800, 1222, 329, 24741, 311, 275, 1112, 1472, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 4032, 19, 204, 615, 264, 475, 31, 204, 268, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 6117, 275, 1781, 204, 264, 4032, 68, 2607, 13, 359, 14, 204, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 12394, 204, 204, 8, 968, 273, 5143, 348, 9683, 273, 1781, 204, 37, 748, 19, 3955, 4195, 2045, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 461, 1395, 13, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 359, 31, 421, 330, 204, 264, 320, 204, 264, 5307, 273, 1781, 440, 275, 800, 1222, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 1395, 19, 204, 615, 264, 475, 31, 204, 268, 332, 5703, 2399, 348, 275, 1395, 1472, 17, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1781, 497, 275, 1104, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 763, 275, 717, 1666, 302, 275, 1781, 497, 275, 798, 424, 204, 268, 1666, 289, 824, 19, 654, 736, 2387, 839, 204, 268, 314, 1716, 275, 1781, 204, 268, 1395, 68, 2607, 13, 359, 17, 1666, 14, 204, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 12394, 204, 264, 902, 31, 204, 268, 314, 4784, 275, 1395, 2399, 440, 275, 1781, 204, 268, 407, 2111, 68, 3143, 611, 2045, 19, 2079, 491, 1781, 34, 2607, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 275, 1104, 5630, 204, 264, 440, 740, 19, 748, 68, 3348, 1293, 204, 268, 1863, 19, 1510, 68, 668, 374, 204, 264, 314, 2466, 275, 1650, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 647, 1400, 204, 531, 1498, 532, 1884, 204, 204, 676, 19081, 31, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 17, 5343, 68, 932, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 19081, 726, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 5343, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 5343, 19, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 5343, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 5343, 19, 204, 305, 5343, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 5343, 19, 204, 268, 320, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 268, 370, 19, 835, 68, 93, 289, 1302, 68, 93, 204, 268, 370, 19, 835, 68, 94, 289, 1302, 68, 94, 204, 268, 370, 19, 16058, 68, 932, 289, 5343, 68, 932, 204, 204, 264, 436, 838, 68, 16058, 13, 327, 17, 7959, 330, 204, 268, 320, 204, 268, 666, 275, 5343, 523, 275, 7959, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 5343, 523, 19, 204, 268, 320, 204, 268, 314, 2069, 27152, 2355, 302, 275, 5343, 204, 268, 397, 370, 19, 16058, 68, 932, 564, 388, 10255, 559, 204, 305, 314, 4456, 6942, 5343, 204, 305, 1879, 204, 268, 1677, 370, 19, 16058, 68, 932, 564, 388, 9335, 559, 204, 305, 314, 4456, 6297, 5343, 204, 305, 1879, 204, 204, 204, 676, 8187, 6574, 31, 204, 264, 436, 589, 924, 889, 327, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 330, 204, 268, 320, 204, 268, 977, 273, 8187, 6574, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 3226, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 3226, 19, 204, 268, 320, 204, 268, 370, 19, 835, 68, 93, 289, 1302, 68, 93, 204, 268, 370, 19, 835, 68, 94, 289, 1302, 68, 94, 204, 204, 264, 436, 4522, 68, 2816, 13, 327, 17, 5343, 31, 19081, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 1422, 353, 2817, 348, 275, 5343, 19, 204, 204, 268, 457, 31, 204, 305, 5343, 322, 26966, 330, 334, 5343, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 1422, 353, 2817, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 4862, 2817, 7151, 3975, 3237, 204, 268, 1879, 204, 204, 264, 436, 1900, 68, 16058, 13, 327, 17, 7959, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 17, 5343, 68, 932, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2069, 273, 5343, 630, 275, 1713, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 5343, 523, 19, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 5343, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 5343, 19, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 5343, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 5343, 19, 204, 305, 5343, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 5343, 19, 204, 268, 320, 204, 268, 5343, 289, 19081, 13, 93, 17, 469, 17, 1302, 68, 93, 17, 1302, 68, 94, 17, 5343, 68, 932, 14, 204, 268, 397, 370, 19, 11283, 68, 2816, 13, 16058, 330, 204, 305, 5343, 19, 1510, 68, 16058, 13, 9426, 14, 204, 204, 264, 436, 1400, 68, 4776, 13, 327, 17, 7959, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20328, 1900, 11773, 292, 275, 3226, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 11773, 523, 19, 204, 268, 320, 204, 268, 314, 968, 5343, 7539, 329, 1017, 3310, 10207, 204, 268, 5343, 68, 7516, 289, 551, 204, 305, 2832, 835, 559, 322, 23, 17, 571, 659, 388, 2307, 559, 322, 23, 17, 571, 15740, 226, 314, 22759, 11773, 204, 305, 2832, 835, 559, 322, 22, 17, 435, 659, 388, 2307, 559, 322, 22, 17, 435, 15740, 226, 314, 40704, 11773, 204, 305, 2832, 835, 559, 322, 22, 17, 368, 659, 388, 2307, 559, 322, 22, 17, 368, 4150, 262, 314, 19463, 11773, 204, 268, 2437, 204, 204, 268, 314, 2069, 11773, 302, 848, 1302, 204, 268, 348, 5343, 68, 835, 292, 5343, 68, 7516, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 305, 348, 296, 292, 933, 13, 327, 19, 835, 68, 93, 338, 435, 330, 204, 485, 348, 781, 292, 933, 13, 327, 19, 835, 68, 94, 338, 435, 330, 204, 895, 13389, 68, 835, 68, 93, 289, 1400, 19, 5574, 13, 16058, 68, 835, 1166, 835, 10895, 21, 648, 5343, 68, 835, 1166, 835, 10895, 22, 694, 204, 895, 13389, 68, 835, 68, 94, 289, 1400, 19, 5574, 13, 16058, 68, 835, 1166, 835, 10895, 21, 648, 5343, 68, 835, 1166, 835, 10895, 22, 694, 204, 895, 370, 19, 4776, 68, 16058, 13, 9426, 17, 296, 17, 781, 17, 13389, 68, 835, 68, 93, 17, 13389, 68, 835, 68, 94, 17, 388, 10255, 431, 204, 204, 204, 8, 1165, 1265, 31, 204, 5419, 68, 5404, 289, 8187, 6574, 13, 1003, 17, 931, 14, 204, 5419, 68, 5404, 19, 2017, 68, 4776, 13, 3170, 14, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 7260, 275, 2089, 4331, 204, 673, 1844, 12692, 348, 275, 1759, 27466, 3332, 273, 9951, 28171, 440, 273, 800, 8035, 19, 2416, 1020, 808, 1759, 17, 572, 1519, 311, 949, 275, 12691, 302, 275, 3620, 19, 334, 2089, 348, 275, 12691, 353, 346, 289, 5780, 73, 17, 1273, 346, 353, 275, 12691, 329, 303, 353, 275, 8035, 19, 4682, 572, 7188, 10571, 311, 732, 5436, 20, 28, 448, 437, 14241, 348, 5780, 17, 275, 2089, 6401, 346, 289, 322, 2898, 20, 28, 14, 73, 19, 204, 204, 658, 1687, 435, 31, 16641, 275, 800, 8035, 1025, 275, 2089, 204, 4377, 496, 275, 8035, 322, 73, 14, 302, 275, 28171, 353, 48722, 5301, 17, 572, 8776, 808, 700, 1025, 2077, 2089, 31, 346, 289, 322, 2898, 20, 28, 8787, 44678, 19, 204, 204, 658, 1687, 571, 31, 3055, 275, 4183, 204, 1449, 949, 275, 12691, 17, 572, 4122, 5436, 560, 48722, 329, 1675, 3281, 275, 722, 560, 1168, 31, 322, 2898, 15, 44678, 4061, 28, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 7145, 1043, 204, 2898, 540, 48722, 289, 1916, 17, 28515, 19, 204, 204, 658, 1687, 720, 31, 10164, 560, 1168, 311, 1020, 275, 12691, 204, 2132, 17, 28515, 802, 1168, 289, 435, 17, 24983, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 4635, 2169, 1617, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 26945, 68, 42487, 19, 46177, 24, 73, 532, 31465, 24, 41, 204, 204, 461, 838, 68, 24, 73, 68, 10836, 68, 1657, 13, 93, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 469, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 1264, 68, 2307, 31, 927, 64, 996, 17, 818, 694, 393, 1513, 19, 16571, 31, 204, 264, 320, 204, 264, 2605, 273, 571, 41, 1807, 302, 6699, 15220, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 610, 2992, 19, 204, 268, 469, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 469, 2992, 19, 204, 268, 1264, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 1264, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 16571, 31, 334, 571, 41, 21620, 3138, 19, 204, 264, 320, 204, 264, 314, 666, 273, 41891, 302, 610, 329, 469, 2992, 204, 264, 610, 68, 8190, 289, 645, 19, 11391, 13, 93, 68, 2307, 64, 21, 648, 610, 68, 2307, 64, 22, 648, 1607, 14, 204, 264, 469, 68, 8190, 289, 645, 19, 11391, 13, 94, 68, 2307, 64, 21, 648, 469, 68, 2307, 64, 22, 648, 1607, 14, 204, 264, 1504, 17, 1358, 289, 645, 19, 28857, 13, 93, 68, 8190, 17, 469, 68, 8190, 14, 204, 204, 264, 314, 968, 275, 2747, 2992, 204, 264, 2747, 289, 645, 19, 3535, 68, 4995, 13, 61, 14, 204, 204, 264, 314, 666, 273, 571, 41, 21620, 204, 264, 1711, 289, 1513, 19, 14196, 13, 14362, 17, 11115, 833, 24, 73, 534, 204, 204, 264, 314, 3045, 275, 6699, 15220, 204, 264, 314, 6319, 31, 47831, 275, 15220, 440, 1792, 42211, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 1358, 17, 2747, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 368, 31, 1504, 18, 62, 6258, 440, 2747, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 1358, 17, 338, 63, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 435, 31, 1504, 18, 62, 6258, 440, 2747, 8981, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 2747, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 571, 31, 1504, 18, 63, 6258, 440, 1358, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 338, 63, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 681, 31, 1504, 18, 63, 6258, 440, 1358, 8981, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 63, 17, 1504, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 720, 31, 2747, 18, 61, 6258, 440, 1358, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 2422, 63, 17, 1504, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 887, 31, 2747, 18, 61, 6258, 440, 1358, 8981, 22, 204, 204, 264, 407, 1711, 204, 204, 461, 758, 68, 1657, 68, 12456, 13, 1474, 31, 1513, 19, 16571, 17, 610, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 469, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 1264, 68, 2307, 31, 927, 64, 996, 17, 818, 694, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 275, 8354, 302, 275, 571, 41, 1807, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 571, 41, 21620, 3138, 19, 204, 268, 610, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 610, 2992, 19, 204, 268, 469, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 469, 2992, 19, 204, 268, 1264, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 1264, 2992, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 1673, 1103, 497, 275, 458, 322, 2723, 302, 275, 3194, 14, 204, 268, 407, 370, 19, 3337, 19, 3377, 374, 204, 204, 264, 436, 29150, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 1913, 1103, 497, 275, 3194, 2900, 7057, 490, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1913, 1103, 497, 275, 3194, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 3194, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 3194, 353, 1392, 2518, 5202, 275, 1913, 1103, 204, 268, 397, 370, 19, 360, 68, 4868, 1293, 204, 305, 980, 9394, 499, 10219, 636, 1913, 1103, 497, 437, 1392, 3194, 431, 204, 268, 314, 455, 275, 1673, 1103, 497, 275, 458, 322, 2723, 302, 275, 3194, 14, 204, 268, 407, 370, 19, 3337, 3327, 22, 66, 204, 204, 264, 436, 353, 68, 4868, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 3194, 353, 1392, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3194, 353, 1392, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 458, 353, 1392, 204, 268, 407, 508, 370, 19, 3337, 204, 204, 264, 436, 1302, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 542, 302, 1842, 292, 275, 3194, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 1842, 292, 275, 3194, 19, 204, 268, 320, 204, 268, 314, 455, 275, 1277, 302, 275, 458, 204, 268, 407, 1245, 13, 327, 19, 3337, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3194, 289, 14390, 374, 204, 264, 456, 13, 4173, 19, 360, 68, 4868, 1447, 226, 314, 3215, 31, 959, 204, 264, 3194, 19, 9653, 13, 22, 14, 204, 264, 3194, 19, 9653, 13, 23, 14, 204, 264, 3194, 19, 9653, 13, 24, 14, 204, 264, 456, 13, 4173, 19, 835, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 30975, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 3377, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 835, 1447, 226, 314, 3215, 31, 435, 204, 264, 456, 13, 4173, 19, 360, 68, 4868, 1447, 226, 314, 3215, 31, 1078, 204, 0, 531, 2573, 532, 5782, 204, 204, 676, 38225, 11176, 13, 5346, 330, 204, 264, 320, 204, 264, 38225, 2291, 302, 275, 1561, 19, 204, 204, 264, 334, 1561, 618, 17046, 292, 970, 14077, 31, 204, 264, 338, 502, 3376, 2613, 68, 4403, 68, 8514, 1889, 31, 334, 1561, 6315, 8206, 273, 1713, 5210, 19, 204, 264, 338, 565, 48808, 10042, 68, 12634, 9967, 3096, 31, 334, 1561, 6353, 273, 8042, 19, 204, 264, 320, 204, 264, 502, 3376, 2613, 68, 4403, 68, 8514, 1889, 289, 368, 204, 264, 565, 48808, 10042, 68, 12634, 9967, 3096, 289, 435, 204, 204, 676, 13490, 13, 5346, 330, 204, 264, 320, 204, 264, 13490, 302, 726, 928, 353, 8367, 292, 42830, 18, 31137, 2291, 19, 204, 204, 264, 334, 1561, 618, 1696, 275, 8042, 292, 970, 7505, 31, 204, 264, 338, 29059, 31, 334, 1561, 6353, 275, 8042, 311, 275, 1824, 19, 204, 264, 338, 33627, 31, 334, 1561, 6353, 275, 8042, 311, 275, 1629, 19, 204, 264, 320, 204, 264, 29059, 289, 368, 204, 264, 33627, 289, 435, 204, 204, 676, 41463, 11176, 13, 5346, 330, 204, 264, 320, 204, 264, 41463, 2291, 302, 15779, 2413, 19, 204, 204, 264, 334, 1561, 618, 17046, 292, 3420, 5156, 14077, 31, 204, 264, 338, 361, 58, 35918, 31, 334, 1561, 353, 4436, 20816, 19, 204, 264, 338, 415, 7981, 22994, 31, 334, 1561, 353, 47316, 329, 618, 444, 16528, 73, 19, 204, 264, 338, 47546, 31, 334, 1561, 28062, 1051, 1660, 630, 273, 690, 19, 204, 264, 338, 47070, 31, 334, 1561, 353, 14418, 329, 2950, 444, 16528, 73, 19, 204, 264, 320, 204, 264, 361, 58, 35918, 289, 500, 204, 264, 415, 7981, 22994, 289, 368, 204, 264, 47546, 289, 435, 204, 264, 47070, 289, 571, 204, 204, 676, 38225, 8177, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 16062, 1561, 19, 204, 204, 264, 334, 16062, 1561, 618, 17046, 292, 1792, 14077, 329, 1696, 10873, 292, 4109, 7505, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 16062, 68, 3607, 31, 38225, 11176, 17, 5156, 68, 3607, 31, 41463, 11176, 289, 41463, 11176, 19, 43083, 330, 204, 268, 320, 204, 268, 1865, 275, 16062, 1561, 19, 204, 204, 268, 457, 31, 204, 268, 338, 16062, 68, 3607, 322, 51, 12238, 11176, 330, 334, 1419, 16062, 2291, 302, 275, 1561, 19, 204, 268, 338, 5156, 68, 3607, 322, 25549, 11176, 330, 334, 1419, 5156, 2291, 302, 275, 1561, 19, 1243, 311, 41463, 11176, 19, 43083, 19, 204, 268, 320, 204, 268, 370, 19, 34396, 68, 3607, 289, 16062, 68, 3607, 204, 268, 370, 19, 12762, 68, 3607, 289, 5156, 68, 3607, 204, 268, 370, 19, 14055, 68, 5863, 289, 443, 204, 204, 264, 436, 758, 68, 14055, 68, 5863, 13, 327, 17, 2945, 31, 13490, 330, 204, 268, 320, 204, 268, 5313, 275, 2945, 302, 275, 8042, 311, 1696, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2945, 322, 18839, 330, 334, 2945, 302, 275, 8042, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 16062, 2291, 353, 565, 48808, 10042, 68, 12634, 9967, 3096, 204, 268, 397, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 31, 204, 305, 370, 19, 14055, 68, 5863, 289, 2945, 204, 268, 902, 31, 204, 305, 456, 499, 33302, 557, 2945, 618, 1698, 444, 758, 292, 565, 48808, 10042, 68, 12634, 9967, 3096, 2291, 1280, 204, 204, 264, 436, 1012, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 15374, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 361, 58, 35918, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 43083, 31, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 305, 456, 499, 51, 12238, 6911, 1280, 204, 305, 397, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 26137, 2613, 68, 4403, 68, 8514, 1889, 31, 204, 485, 456, 499, 35740, 8206, 275, 5210, 1280, 204, 305, 1677, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 31, 204, 485, 397, 370, 19, 14055, 68, 5863, 31, 204, 895, 456, 13, 75, 7, 31137, 275, 8042, 311, 275, 463, 327, 19, 14055, 68, 5863, 19, 417, 19, 3006, 9447, 1280, 204, 485, 902, 31, 204, 895, 456, 499, 5213, 758, 275, 8042, 2945, 1043, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 5213, 758, 275, 5156, 2291, 311, 361, 58, 35918, 1043, 1280, 204, 204, 264, 436, 21606, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 4694, 5792, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 361, 58, 35918, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 43083, 31, 204, 305, 370, 19, 12762, 68, 3607, 289, 41463, 11176, 19, 4329, 12687, 41, 204, 305, 456, 499, 51, 12238, 47316, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 51, 12238, 353, 508, 4436, 1280, 204, 204, 264, 436, 16528, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 2315, 22634, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 415, 7981, 22994, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 4329, 12687, 41, 31, 204, 305, 370, 19, 12762, 68, 3607, 289, 41463, 11176, 19, 43083, 204, 305, 456, 499, 51, 12238, 16528, 73, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 51, 12238, 353, 508, 47316, 1280, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 16062, 68, 4038, 289, 38225, 8177, 13, 51, 12238, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 14, 204, 264, 16062, 68, 4038, 19, 574, 68, 14055, 68, 5863, 13, 18839, 19, 12842, 14, 204, 264, 16062, 68, 4038, 19, 1530, 68, 34396, 374, 204, 264, 16062, 68, 4038, 19, 16763, 68, 34396, 374, 204, 264, 16062, 68, 4038, 19, 23253, 68, 34396, 374, 204, 0, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 8, 4861, 204, 20221, 31, 818, 289, 571, 19, 21, 226, 314, 3441, 302, 908, 741, 204, 9118, 8644, 34989, 68, 20155, 31, 818, 289, 368, 74, 18, 28, 226, 314, 1660, 292, 5442, 14241, 204, 1143, 2705, 8126, 4380, 68, 20155, 31, 818, 289, 720, 74, 18, 25, 226, 314, 1660, 1302, 302, 275, 9432, 741, 204, 24263, 68, 39, 31, 818, 289, 435, 19, 32629, 226, 314, 1419, 700, 302, 308, 204, 44, 39802, 31, 818, 289, 500, 19, 3222, 226, 314, 1660, 1302, 10731, 204, 9202, 44554, 31, 818, 289, 368, 74, 18, 29, 226, 314, 6736, 7548, 302, 722, 204, 5605, 68, 17176, 31, 421, 289, 2031, 1207, 226, 314, 1646, 542, 302, 6195, 204, 204, 461, 949, 68, 718, 13, 71, 31, 818, 17, 3441, 31, 818, 17, 9432, 68, 2290, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 908, 630, 273, 800, 917, 19, 204, 204, 264, 457, 31, 204, 264, 338, 308, 322, 996, 330, 917, 630, 928, 311, 949, 275, 908, 204, 264, 338, 3441, 322, 996, 330, 3441, 302, 908, 741, 204, 264, 338, 9432, 68, 2290, 322, 996, 330, 1660, 1302, 302, 275, 9432, 741, 204, 204, 264, 475, 31, 204, 264, 338, 908, 322, 996, 330, 908, 630, 275, 800, 917, 204, 264, 320, 204, 264, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 12317, 741, 348, 636, 68, 718, 204, 264, 314, 4546, 808, 440, 1214, 2641, 5581, 204, 264, 436, 636, 68, 718, 13, 3006, 68, 3499, 31, 818, 17, 3482, 68, 3499, 31, 818, 17, 9432, 68, 2290, 31, 818, 17, 308, 31, 818, 14, 393, 818, 31, 204, 268, 314, 1165, 5581, 31, 14900, 610, 67, 23, 497, 3124, 68, 3499, 311, 3482, 68, 3499, 204, 268, 532, 2010, 448, 645, 204, 268, 610, 289, 645, 19, 8268, 13, 3006, 68, 3499, 17, 3482, 68, 3499, 17, 9432, 68, 2290, 14, 204, 268, 407, 645, 19, 1303, 13, 93, 777, 23, 14, 540, 9432, 68, 2290, 204, 204, 264, 407, 636, 68, 718, 2422, 6575, 17, 3441, 17, 9432, 68, 2290, 17, 308, 14, 204, 204, 461, 949, 68, 16441, 13, 718, 68, 4266, 31, 7063, 17, 308, 31, 818, 17, 5442, 68, 2290, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 5442, 302, 275, 908, 630, 273, 800, 917, 974, 11339, 6108, 19, 204, 204, 264, 457, 31, 204, 264, 338, 908, 68, 4266, 322, 10740, 330, 741, 311, 949, 275, 908, 204, 264, 338, 308, 322, 996, 330, 917, 630, 928, 311, 949, 275, 5442, 204, 264, 338, 5442, 68, 2290, 322, 996, 330, 1660, 1302, 348, 5442, 14241, 204, 204, 264, 475, 31, 204, 264, 338, 5442, 322, 996, 330, 5442, 302, 275, 908, 630, 275, 800, 917, 204, 264, 320, 204, 264, 908, 68, 11967, 68, 2290, 289, 908, 68, 4266, 13, 71, 465, 5442, 68, 2290, 14, 204, 264, 908, 68, 20977, 68, 2290, 289, 908, 68, 4266, 13, 71, 338, 5442, 68, 2290, 14, 204, 264, 407, 322, 718, 68, 11967, 68, 2290, 338, 908, 68, 20977, 68, 2290, 14, 802, 322, 23, 540, 5442, 68, 2290, 14, 204, 204, 461, 15688, 68, 11272, 68, 29852, 13, 3474, 68, 71, 31, 818, 17, 9077, 31, 818, 17, 7548, 31, 818, 17, 846, 68, 2062, 31, 421, 17, 716, 8567, 3441, 31, 818, 17, 9432, 68, 2290, 31, 818, 17, 5442, 68, 2290, 31, 818, 14, 393, 783, 64, 1218, 64, 996, 2440, 204, 264, 320, 204, 264, 3055, 6361, 17391, 11689, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1419, 68, 71, 322, 996, 330, 1419, 700, 302, 308, 204, 264, 338, 9077, 322, 996, 330, 1660, 1302, 10731, 204, 264, 338, 7548, 322, 996, 330, 6736, 7548, 302, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 722, 204, 264, 338, 846, 68, 2062, 322, 339, 330, 1646, 542, 302, 6195, 204, 264, 338, 3441, 322, 996, 330, 3441, 302, 908, 741, 204, 264, 338, 9432, 68, 2290, 322, 996, 330, 1660, 1302, 302, 275, 9432, 741, 204, 264, 338, 5442, 68, 2290, 322, 996, 330, 1660, 1302, 348, 5442, 14241, 204, 204, 264, 475, 31, 204, 264, 338, 11689, 68, 481, 322, 1218, 64, 1218, 64, 996, 3795, 458, 302, 11689, 424, 204, 264, 320, 204, 264, 314, 968, 275, 908, 741, 204, 264, 436, 908, 68, 4266, 13, 71, 31, 818, 14, 393, 818, 31, 204, 268, 407, 949, 68, 718, 13, 71, 17, 3441, 17, 9432, 68, 2290, 14, 204, 204, 264, 1682, 68, 71, 289, 1419, 68, 71, 204, 264, 11689, 68, 481, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 1129, 68, 2062, 330, 204, 268, 397, 296, 1564, 931, 564, 500, 31, 204, 305, 456, 13, 75, 1954, 78, 8246, 1129, 68, 2062, 743, 204, 268, 790, 68, 71, 289, 1682, 68, 71, 204, 268, 908, 289, 908, 68, 4266, 13, 1976, 68, 71, 14, 204, 268, 5442, 289, 949, 68, 16441, 13, 718, 68, 4266, 17, 790, 68, 71, 17, 5442, 68, 2290, 14, 204, 268, 1682, 68, 71, 289, 790, 68, 71, 338, 9077, 540, 5442, 204, 204, 268, 308, 68, 2290, 289, 1682, 68, 71, 338, 790, 68, 71, 204, 268, 11689, 68, 481, 19, 1223, 1568, 2715, 68, 71, 17, 908, 17, 308, 68, 2290, 694, 204, 268, 397, 7041, 13, 71, 68, 2290, 14, 2186, 7548, 31, 204, 305, 2280, 204, 204, 264, 407, 11689, 68, 481, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 11689, 68, 481, 289, 15688, 68, 11272, 68, 29852, 13, 24263, 68, 39, 17, 501, 39802, 17, 25384, 44554, 17, 8438, 68, 17176, 17, 716, 43212, 21725, 2530, 3322, 17, 5697, 2705, 8126, 4380, 68, 20155, 17, 412, 1053, 8644, 34989, 68, 20155, 14, 204, 264, 456, 499, 11039, 431, 204, 204, 264, 314, 18320, 424, 204, 264, 2349, 289, 1246, 19, 1362, 13, 28094, 68, 481, 14, 204, 264, 2349, 19, 633, 68, 2039, 22335, 481, 20, 11272, 68, 45635, 19, 2039, 528, 3494, 8090, 71, 528, 388, 718, 528, 388, 2290, 2869, 1112, 34, 1975, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1066, 302, 275, 26096, 1330, 5209, 329, 9137, 970, 886, 292, 1034, 284, 204, 204, 3661, 1743, 8456, 68, 85, 13, 82, 17, 83, 3920, 322, 18614, 19, 1743, 1460, 68, 85, 13, 82, 17, 83, 3920, 14, 12091, 275, 1066, 302, 275, 26096, 1330, 5209, 322, 18614, 19, 9137, 14, 275, 886, 686, 82, 6958, 1303, 1859, 80, 65, 340, 21, 98, 82, 68, 35158, 67, 80, 9, 329, 686, 83, 6958, 1303, 1859, 80, 65, 340, 21, 98, 83, 68, 35158, 67, 80, 9, 974, 1034, 18, 9, 85, 9, 7339, 1273, 686, 82, 68, 80, 17, 83, 68, 80, 65, 266, 28543, 21, 13299, 16701, 17, 85, 18, 22, 24935, 348, 686, 80, 65, 340, 21, 2176, 5486, 686, 88, 68, 85, 13, 82, 21039, 1303, 1859, 80, 65, 340, 21, 98, 82, 68, 80, 9, 444, 275, 1066, 302, 275, 1034, 18, 9, 85, 9, 3258, 19, 204, 204, 12124, 9994, 529, 800, 31, 204, 8515, 8456, 68, 85, 13, 82, 17, 83, 21039, 1209, 96, 88, 68, 85, 13, 82, 14040, 88, 68, 85, 13, 83, 12195, 88, 68, 85, 13, 82, 16, 83, 9844, 85, 18, 22, 31209, 17957, 688, 1460, 68, 85, 13, 82, 17, 83, 21039, 1209, 96, 88, 68, 85, 13, 82, 14, 88, 68, 85, 13, 83, 12195, 88, 68, 85, 13, 7398, 9844, 85, 18, 22, 3572, 3266, 204, 204, 38, 8864, 348, 1743, 1460, 68, 85, 13, 82, 17, 83, 3920, 353, 448, 6353, 31, 204, 204, 22167, 275, 1034, 18, 9, 85, 9, 43035, 686, 70, 6958, 1303, 1859, 80, 65, 340, 21, 98, 70, 68, 35158, 67, 80, 9, 329, 686, 71, 6958, 1303, 1859, 80, 65, 340, 21, 98, 71, 68, 35158, 67, 80, 9, 12015, 26096, 686, 72, 68, 21, 17, 72, 68, 22, 13299, 16701, 9, 1273, 686, 72, 68, 80, 9, 353, 275, 7918, 4489, 560, 5209, 10112, 302, 686, 85, 67, 80, 2176, 334, 1034, 18, 9, 85, 9, 10291, 302, 275, 1351, 686, 429, 6958, 1303, 1859, 80, 65, 340, 21, 7293, 429, 38919, 35158, 67, 80, 9, 353, 3232, 311, 275, 686, 70, 68, 78, 2543, 686, 71, 68, 79, 9, 329, 686, 72, 68, 80, 9, 9271, 275, 3779, 31, 226, 204, 65, 6411, 96, 14156, 28842, 226, 204, 13, 429, 38919, 21, 34686, 70, 68, 21, 71, 68, 21, 18, 6092, 68, 21, 4727, 226, 204, 13, 429, 38919, 22, 34686, 70, 68, 21, 71, 68, 22, 16, 70, 68, 22, 71, 68, 21, 16, 72, 68, 21, 18, 6092, 68, 22, 4727, 226, 204, 13, 429, 38919, 23, 34686, 70, 68, 21, 71, 68, 23, 16, 70, 68, 22, 71, 68, 22, 16, 70, 68, 23, 71, 68, 21, 16, 72, 68, 22, 18, 6092, 68, 23, 4727, 226, 204, 48058, 688, 43473, 226, 204, 65, 409, 96, 14156, 28842, 226, 204, 3663, 7269, 429, 38919, 80, 6958, 1735, 3453, 1303, 1859, 78, 16, 79, 34, 80, 98, 70, 68, 1156, 68, 79, 65, 1633, 14040, 72, 1859, 80, 18, 22, 8172, 6092, 68, 80, 9, 348, 686, 80, 65, 340, 22, 2176, 19524, 1605, 3779, 4658, 226, 204, 3266, 88, 68, 85, 13, 429, 21039, 1735, 3453, 1303, 1859, 78, 65, 340, 21, 98, 70, 68, 78, 65, 1633, 6239, 1735, 3453, 1303, 1859, 79, 65, 340, 21, 98, 71, 68, 79, 65, 1633, 14, 18141, 85, 18, 22, 6239, 1303, 1859, 80, 65, 340, 21, 98, 72, 68, 80, 34, 88, 68, 85, 13, 70, 14, 88, 68, 85, 13, 71, 12195, 13, 85, 18, 22, 6239, 1460, 68, 85, 13, 70, 17, 71, 789, 3266, 226, 204, 18672, 4658, 275, 6736, 2089, 348, 1743, 1460, 68, 85, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 70, 17, 71, 7891, 716, 204, 673, 2089, 348, 1743, 8456, 68, 85, 13, 70, 17, 71, 3920, 353, 8744, 27280, 560, 5209, 7269, 70, 16, 71, 38919, 21, 34, 70, 68, 21, 16, 71, 68, 21, 18, 6092, 68, 21, 9, 329, 7269, 70, 16, 71, 38919, 80, 34, 70, 68, 80, 16, 71, 68, 80, 16, 72, 1859, 80, 18, 22, 8172, 6092, 68, 80, 9, 348, 686, 80, 65, 340, 22, 36517, 716, 204, 7108, 31, 332, 12178, 722, 302, 1144, 328, 1652, 5366, 496, 1743, 8456, 68, 85, 13, 82, 17, 83, 3920, 353, 275, 6409, 302, 275, 4794, 2347, 302, 686, 85, 9, 8631, 1743, 18174, 96, 82, 16, 83, 1134, 83, 4742, 0, 647, 1875, 204, 647, 1361, 204, 647, 8738, 204, 647, 690, 204, 647, 2164, 204, 204, 676, 21182, 8162, 4093, 31, 204, 264, 320, 204, 264, 332, 850, 311, 8808, 440, 275, 21182, 8162, 1893, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 1034, 68, 805, 1164, 394, 204, 268, 334, 1034, 1274, 302, 275, 21182, 8162, 1893, 19, 204, 264, 4584, 1164, 394, 204, 268, 334, 4584, 311, 3752, 275, 1504, 39, 61, 2297, 19, 204, 264, 2082, 1164, 1361, 19, 4387, 204, 268, 334, 2082, 1014, 19, 204, 264, 353, 68, 34434, 1164, 1109, 204, 268, 332, 5168, 311, 8956, 397, 275, 1014, 353, 14418, 19, 204, 264, 790, 68, 93, 24566, 68, 2895, 1164, 818, 204, 268, 334, 790, 1504, 39, 61, 2297, 19, 204, 264, 353, 68, 23855, 1164, 1109, 204, 268, 332, 5168, 311, 8956, 397, 275, 7346, 4457, 353, 4436, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1034, 68, 805, 31, 394, 289, 388, 3189, 1963, 2005, 19, 16293, 3199, 19, 1453, 13669, 4584, 31, 394, 289, 388, 40271, 20, 93, 24566, 20, 6471, 204, 268, 320, 204, 268, 977, 275, 21182, 8162, 4093, 1014, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 1034, 68, 805, 1164, 394, 17, 1448, 204, 305, 334, 1034, 1274, 302, 275, 21182, 8162, 1893, 322, 2305, 353, 388, 3189, 1963, 2005, 19, 16293, 3199, 19, 1453, 20, 5561, 204, 268, 4584, 1164, 394, 17, 1448, 204, 305, 334, 4584, 311, 3752, 275, 1504, 39, 61, 2297, 322, 2305, 353, 388, 40271, 20, 93, 24566, 20, 5561, 204, 268, 320, 204, 268, 370, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 268, 370, 19, 8155, 289, 4584, 204, 268, 370, 19, 3342, 289, 1361, 19, 6095, 611, 2125, 534, 204, 268, 370, 19, 3342, 19, 1270, 499, 38783, 8162, 4093, 807, 1491, 431, 204, 268, 370, 19, 360, 68, 34434, 289, 1078, 204, 268, 370, 19, 1976, 68, 93, 24566, 68, 2895, 289, 443, 204, 268, 370, 19, 360, 68, 23855, 289, 1078, 204, 204, 264, 436, 2601, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 21182, 8162, 1893, 19, 204, 204, 268, 1058, 1216, 7036, 275, 1727, 560, 10775, 275, 790, 1504, 39, 61, 2297, 19, 204, 268, 320, 204, 268, 370, 19, 3342, 19, 1270, 499, 17333, 12121, 7862, 204, 268, 370, 19, 6291, 68, 93, 24566, 68, 2895, 374, 204, 204, 264, 436, 3752, 68, 93, 24566, 68, 2895, 13, 327, 14, 393, 818, 1152, 443, 31, 204, 268, 320, 204, 268, 6579, 275, 790, 1504, 39, 61, 2297, 497, 275, 21182, 8162, 1893, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 818, 1152, 443, 204, 305, 334, 790, 1504, 39, 61, 2297, 521, 443, 397, 275, 824, 4737, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 5128, 275, 3101, 1274, 204, 305, 1779, 289, 283, 1954, 327, 19, 772, 68, 805, 1134, 327, 19, 8155, 2495, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 305, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 305, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 314, 2735, 275, 958, 448, 2084, 204, 305, 424, 289, 958, 19, 1775, 374, 204, 305, 314, 2735, 275, 1504, 39, 61, 2297, 497, 275, 958, 204, 305, 370, 19, 1976, 68, 93, 24566, 68, 2895, 289, 370, 806, 1703, 68, 93, 24566, 68, 2895, 13, 481, 14, 204, 305, 407, 370, 19, 1976, 68, 93, 24566, 68, 2895, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 2175, 275, 908, 329, 407, 443, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 10775, 1504, 39, 61, 2297, 31, 463, 74, 743, 204, 305, 407, 443, 204, 204, 264, 436, 1012, 68, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4055, 273, 7346, 4457, 302, 1504, 39, 61, 6042, 497, 275, 21182, 8162, 1893, 19, 204, 204, 268, 1058, 1216, 7036, 273, 717, 3532, 311, 20816, 3752, 1504, 39, 61, 6042, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 360, 68, 23855, 31, 204, 305, 370, 19, 360, 68, 23855, 289, 959, 204, 305, 314, 4055, 273, 717, 3532, 348, 7346, 6042, 204, 305, 8738, 19, 9928, 13, 2170, 34, 327, 806, 23855, 68, 8665, 789, 1530, 374, 204, 204, 264, 436, 3506, 68, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 7346, 4457, 302, 1504, 39, 61, 6042, 19, 204, 268, 320, 204, 268, 397, 370, 19, 360, 68, 23855, 31, 204, 305, 370, 19, 360, 68, 23855, 289, 1078, 204, 204, 264, 436, 906, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 26118, 1216, 311, 20816, 3752, 1504, 39, 61, 6042, 19, 204, 204, 268, 1058, 1216, 6944, 292, 273, 7490, 3532, 329, 20816, 39321, 1504, 39, 61, 6042, 204, 268, 3119, 275, 7346, 4457, 353, 14418, 19, 204, 268, 320, 204, 268, 1335, 370, 19, 360, 68, 23855, 31, 204, 305, 314, 6579, 275, 1504, 39, 61, 2297, 204, 305, 370, 19, 6291, 68, 93, 24566, 68, 2895, 374, 204, 305, 314, 18285, 348, 500, 19, 26, 3331, 2518, 275, 1682, 3752, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 305, 690, 19, 4867, 13, 21, 19, 26, 14, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 1703, 68, 93, 24566, 68, 2895, 13, 481, 31, 1135, 14, 393, 818, 31, 204, 268, 320, 204, 268, 2735, 275, 1504, 39, 61, 2297, 497, 275, 1893, 958, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 424, 1164, 1135, 204, 305, 334, 1893, 958, 424, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 818, 204, 305, 334, 3634, 1504, 39, 61, 2297, 19, 204, 268, 320, 204, 268, 407, 424, 736, 93, 24566, 839, 204, 204, 264, 436, 5925, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 21182, 8162, 4093, 1014, 19, 204, 204, 268, 1058, 1216, 15362, 275, 7346, 4457, 329, 3416, 275, 14418, 5168, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 360, 68, 34434, 31, 204, 305, 370, 19, 360, 68, 34434, 289, 959, 204, 305, 370, 19, 5029, 68, 23855, 68, 8665, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 21182, 8162, 4093, 1014, 204, 264, 7612, 3199, 68, 2005, 289, 21182, 8162, 4093, 374, 204, 264, 314, 4055, 275, 7346, 6042, 4457, 204, 264, 7612, 3199, 68, 2005, 19, 1530, 68, 23855, 68, 8665, 374, 204, 264, 314, 18285, 348, 1607, 3331, 204, 264, 690, 19, 4867, 13, 2051, 14, 204, 264, 314, 9829, 275, 7346, 6042, 4457, 204, 264, 7612, 3199, 68, 2005, 19, 5029, 68, 23855, 68, 8665, 374, 204, 0, 25005, 9748, 29646, 204, 204, 673, 2415, 1610, 302, 273, 542, 353, 273, 700, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 275, 2171, 542, 19, 1765, 1763, 17, 275, 2415, 1610, 302, 2247, 353, 681, 17, 2404, 681, 540, 681, 289, 2247, 19, 204, 204, 673, 9758, 2415, 1610, 302, 273, 542, 353, 275, 47718, 700, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 275, 2171, 542, 19, 1547, 353, 13772, 560, 275, 4414, 3849, 19, 1765, 1014, 17, 3849, 1845, 289, 681, 19, 204, 204, 1449, 3953, 273, 2415, 1610, 17, 572, 618, 732, 275, 2631, 2089, 31, 204, 204, 4646, 70, 289, 308, 17, 1273, 308, 353, 273, 542, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 273, 19, 204, 204, 18882, 31, 204, 204, 15, 3849, 2051, 289, 931, 17, 2404, 931, 540, 931, 289, 1607, 204, 15, 3849, 1511, 289, 720, 17, 2404, 720, 540, 720, 289, 2019, 204, 15, 3849, 7298, 289, 1168, 17, 2404, 1168, 540, 1168, 289, 10516, 204, 204, 4931, 275, 5310, 12469, 311, 8730, 9748, 29646, 204, 204, 673, 1351, 4090, 348, 18656, 2415, 6601, 3584, 496, 275, 2415, 1610, 302, 273, 1351, 302, 970, 886, 353, 1936, 311, 275, 1351, 302, 275, 2415, 6601, 302, 275, 3509, 886, 19, 12240, 2547, 17, 808, 618, 444, 8286, 448, 31, 204, 204, 16407, 429, 14, 289, 3849, 70, 540, 3849, 71, 204, 204, 18882, 31, 204, 204, 15, 7408, 25, 540, 1233, 14, 289, 3849, 25, 540, 3849, 30, 289, 435, 540, 571, 289, 887, 204, 15, 7408, 1845, 540, 2019, 14, 289, 3849, 1845, 540, 3849, 1511, 289, 681, 540, 720, 289, 1199, 204, 204, 4931, 275, 44866, 12469, 311, 8730, 9748, 29646, 204, 204, 673, 9684, 4090, 348, 18656, 2415, 6601, 3584, 496, 275, 2415, 1610, 302, 273, 9684, 302, 970, 886, 353, 1936, 311, 275, 9684, 302, 275, 2415, 6601, 302, 275, 3509, 886, 19, 12240, 2547, 17, 808, 618, 444, 8286, 448, 31, 204, 204, 16407, 70, 20, 71, 14, 289, 3849, 70, 802, 3849, 71, 204, 204, 18882, 31, 204, 204, 15, 7408, 1845, 20, 30, 14, 289, 3849, 1845, 802, 3849, 30, 289, 681, 20, 24, 204, 15, 7408, 1511, 20, 25, 14, 289, 3849, 1511, 802, 3849, 25, 289, 720, 20, 23, 204, 204, 20542, 329, 31889, 9748, 29646, 204, 204, 1449, 881, 521, 5400, 2415, 6601, 17, 275, 7919, 323, 5152, 322, 1947, 886, 6204, 275, 2415, 1610, 14, 1631, 444, 275, 1729, 19, 828, 275, 7919, 323, 5152, 529, 275, 1729, 17, 572, 618, 881, 521, 5400, 275, 5692, 322, 1947, 886, 7066, 275, 2415, 1610, 789, 204, 204, 18882, 31, 204, 204, 15, 435, 4646, 25, 465, 571, 4646, 25, 289, 322, 23, 16, 24, 14, 4646, 25, 289, 720, 4646, 25, 289, 931, 204, 15, 681, 4646, 30, 338, 435, 4646, 30, 289, 322, 25, 18, 23, 14, 4646, 30, 289, 435, 4646, 30, 289, 887, 204, 204, 4931, 23023, 29646, 204, 204, 39830, 6601, 529, 6601, 496, 618, 444, 8286, 448, 273, 8793, 542, 322, 70, 4628, 789, 1765, 1763, 17, 275, 6871, 1610, 302, 1132, 353, 435, 17, 2404, 435, 67, 24, 289, 1132, 19, 204, 204, 673, 9776, 1610, 302, 273, 542, 353, 273, 700, 496, 17, 1330, 7514, 311, 275, 9776, 2347, 17, 4658, 275, 2171, 542, 19, 1547, 353, 13772, 560, 275, 4414, 3849, 64, 83, 1664, 1765, 1014, 17, 3849, 64, 24, 66, 29, 289, 435, 17, 2404, 435, 67, 24, 289, 1132, 19, 204, 204, 18882, 31, 204, 204, 15, 3849, 64, 25, 66, 1845, 289, 435, 17, 2404, 435, 67, 25, 289, 2247, 204, 15, 3849, 64, 26, 35920, 2177, 289, 338, 23, 17, 2404, 3457, 23, 2246, 26, 289, 338, 2177, 204, 204, 4931, 23023, 33339, 204, 204, 39830, 15231, 529, 15231, 496, 529, 6249, 19, 3433, 618, 444, 1376, 311, 12091, 6601, 329, 9350, 19, 1765, 1763, 17, 435, 6023, 22, 20, 23, 14, 289, 3849, 23, 17, 329, 435, 6023, 24, 20, 23, 14, 289, 13079, 23, 2246, 24, 289, 435, 4646, 23, 19, 204, 204, 673, 4303, 798, 348, 10657, 1283, 273, 16049, 2231, 440, 273, 16049, 4414, 329, 1051, 440, 273, 8793, 6409, 353, 31, 204, 204, 70, 6023, 82, 20, 83, 14, 289, 13079, 64, 83, 66, 70, 2246, 82, 289, 3849, 64, 83, 66, 70, 67, 82, 204, 204, 18882, 31, 204, 204, 15, 1132, 6023, 23, 20, 24, 14, 289, 13079, 64, 24, 66, 29, 2246, 23, 289, 435, 67, 23, 289, 681, 204, 15, 1233, 6023, 22, 20, 23, 14, 289, 3849, 30, 289, 571, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 837, 5549, 17, 18680, 329, 18656, 2415, 6601, 329, 8793, 6601, 5628, 974, 4109, 5035, 329, 9994, 17, 1702, 448, 275, 1351, 4090, 17, 9684, 4090, 17, 329, 8793, 6409, 4090, 17, 311, 23912, 329, 5620, 7277, 19, 0, 3728, 2474, 20398, 1151, 1101, 6202, 33408, 329, 2075, 830, 275, 48051, 26277, 19, 11449, 36, 204, 7374, 41204, 501, 12032, 15613, 71, 9629, 77, 280, 17, 501, 301, 366, 842, 356, 3356, 48371, 1349, 29569, 696, 705, 414, 286, 3356, 471, 538, 1118, 3356, 595, 4890, 270, 517, 274, 1128, 3711, 3356, 595, 360, 5740, 9105, 22425, 17, 292, 6699, 14827, 17, 41204, 19657, 38337, 6724, 366, 17, 501, 14620, 89, 1693, 278, 17, 21299, 17, 3351, 435, 204, 12129, 641, 6037, 10167, 18, 28160, 349, 15360, 867, 41127, 497, 25304, 326, 551, 40, 33690, 292, 13533, 648, 273, 15400, 292, 275, 9284, 302, 6405, 270, 322, 42936, 1405, 659, 1273, 566, 867, 9596, 292, 275, 4744, 11543, 21843, 6129, 19, 2474, 754, 26476, 10566, 560, 1704, 30437, 525, 17, 9004, 728, 639, 329, 18385, 496, 566, 867, 2927, 273, 8634, 302, 37418, 17, 39143, 302, 565, 985, 278, 17, 329, 1425, 273, 23360, 19, 592, 1704, 1998, 19170, 70, 33301, 608, 1257, 31823, 979, 1566, 360, 1602, 286, 39539, 292, 269, 1693, 1156, 362, 360, 322, 5824, 11712, 44435, 302, 275, 794, 269, 797, 3423, 302, 4710, 7180, 14, 566, 24600, 292, 4539, 275, 7167, 2513, 302, 275, 11121, 349, 812, 1154, 348, 10076, 1070, 1169, 3397, 2219, 397, 490, 20905, 447, 1102, 72, 4186, 275, 7119, 302, 3651, 5127, 19, 592, 1704, 3346, 24972, 5809, 566, 867, 14392, 311, 273, 11710, 34798, 15439, 19, 592, 3161, 1225, 17, 1998, 378, 78, 462, 19291, 322, 5824, 49018, 659, 566, 18377, 496, 1169, 3651, 24718, 440, 2318, 1666, 867, 1236, 1182, 1194, 273, 33420, 17455, 19, 2474, 1425, 25555, 440, 1182, 4539, 5713, 19800, 3888, 292, 904, 5994, 19, 204, 673, 3511, 302, 275, 18662, 271, 2156, 302, 275, 3420, 21843, 329, 11543, 21843, 15056, 17, 448, 8699, 719, 311, 3303, 17, 3192, 4935, 1182, 496, 353, 37443, 302, 4806, 1194, 496, 302, 3153, 302, 1017, 378, 46260, 2890, 1415, 1466, 3597, 31553, 2178, 612, 640, 19, 334, 16405, 1466, 348, 275, 1901, 1085, 27655, 13533, 4281, 2471, 302, 329, 3777, 2471, 523, 39636, 884, 88, 29155, 19, 2935, 867, 4539, 311, 1475, 17, 1702, 448, 13275, 302, 14367, 71, 410, 3954, 17, 501, 6352, 364, 5717, 19657, 5717, 8868, 349, 45496, 6623, 19, 292, 1017, 34583, 440, 275, 18662, 271, 2156, 17, 869, 2861, 1742, 11799, 292, 275, 8916, 9206, 302, 808, 34583, 17, 1273, 382, 1425, 36431, 523, 275, 1901, 3287, 17606, 302, 1017, 7977, 19, 204, 13936, 6005, 353, 3913, 311, 45834, 41127, 302, 346, 33690, 17, 508, 754, 3171, 448, 273, 3597, 31553, 2178, 37716, 17, 1101, 448, 437, 2171, 5871, 1415, 2080, 28148, 10566, 560, 275, 2986, 302, 31553, 2178, 37716, 17696, 19, 2474, 2080, 14918, 13731, 10566, 440, 275, 3220, 302, 9207, 329, 15775, 6310, 1704, 6542, 7345, 311, 5713, 19800, 10446, 17, 292, 4539, 37418, 19, 3846, 1704, 6542, 7345, 529, 2842, 448, 292, 1668, 5262, 1313, 292, 7105, 448, 353, 1704, 5713, 19800, 1650, 302, 1475, 17, 329, 348, 808, 5127, 41127, 302, 346, 33690, 884, 88, 17696, 17, 4811, 522, 290, 448, 490, 353, 2171, 17, 4230, 444, 39309, 273, 5568, 302, 6542, 2745, 10548, 2643, 19, 34361, 497, 29155, 12361, 28329, 311, 9207, 329, 37418, 17, 1704, 1901, 3287, 29449, 5994, 529, 275, 2631, 31, 1998, 19170, 70, 33301, 608, 1257, 3353, 270, 382, 322, 5824, 11712, 44435, 551, 13554, 5967, 30385, 332, 538, 761, 1257, 19170, 6237, 33301, 608, 1257, 74, 3353, 270, 382, 322, 7146, 652, 302, 11712, 44435, 551, 389, 2016, 30385, 1998, 378, 78, 462, 19291, 3353, 391, 11933, 84, 322, 5824, 49018, 551, 7434, 5967, 30385, 1998, 46072, 1275, 1257, 3353, 391, 15623, 322, 5824, 22846, 551, 13554, 5967, 12670, 22, 334, 4578, 302, 275, 1043, 302, 1605, 529, 9395, 1792, 497, 2075, 1051, 1784, 7523, 497, 1163, 1724, 19, 332, 5713, 12367, 323, 353, 11352, 523, 275, 6733, 302, 275, 4923, 1646, 17, 928, 353, 19400, 4923, 523, 17285, 17, 497, 928, 41127, 17782, 30678, 311, 8335, 1425, 275, 2140, 7781, 25815, 302, 13709, 329, 275, 26903, 543, 302, 275, 44022, 329, 275, 791, 285, 6544, 19, 334, 19170, 70, 33301, 608, 1257, 322, 3838, 336, 44435, 14, 9995, 292, 275, 12083, 496, 275, 4923, 1646, 521, 4923, 523, 17285, 353, 34159, 578, 841, 414, 17, 2404, 830, 6121, 1631, 444, 3267, 756, 1924, 273, 542, 17, 7301, 808, 1646, 353, 3114, 1194, 1169, 542, 19, 18911, 275, 722, 302, 808, 12083, 353, 273, 11712, 44435, 19, 23, 41127, 1583, 508, 3237, 44590, 311, 19200, 1662, 572, 21851, 311, 275, 6733, 302, 275, 1646, 521, 4923, 523, 17285, 32, 566, 20251, 18479, 496, 490, 353, 4816, 398, 6100, 560, 830, 4757, 329, 353, 275, 1136, 302, 1017, 8793, 41695, 580, 19, 11917, 437, 22968, 4273, 17, 20761, 6121, 302, 275, 1646, 353, 2237, 32, 275, 4414, 353, 9470, 497, 9207, 19, 334, 1646, 353, 4923, 523, 17285, 329, 8337, 23104, 3896, 440, 275, 2311, 32, 490, 353, 23055, 3600, 17, 35139, 17, 329, 275, 35139, 15363, 302, 275, 2688, 19, 24, 1547, 11669, 1043, 1025, 275, 44022, 19, 334, 1646, 448, 4923, 4161, 17285, 353, 5608, 32, 808, 523, 17285, 24879, 5398, 521, 444, 505, 88, 14144, 440, 5398, 322, 1947, 26582, 22412, 659, 329, 275, 8651, 302, 523, 17285, 440, 1163, 14144, 39660, 275, 4986, 1874, 302, 275, 1381, 12474, 322, 1947, 19155, 23507, 789, 5443, 2350, 316, 357, 796, 286, 298, 2350, 39539, 273, 4597, 286, 402, 32, 378, 16285, 936, 1602, 84, 995, 2350, 316, 426, 4618, 286, 3772, 995, 2350, 39539, 273, 4597, 41105, 19, 25, 322, 2803, 516, 302, 523, 17285, 353, 10471, 363, 1876, 497, 523, 17285, 17, 1101, 8651, 42329, 497, 523, 17285, 329, 497, 14144, 302, 523, 17285, 6268, 204, 8837, 970, 20, 633, 444, 10891, 5013, 204, 22, 19, 35017, 275, 4166, 18, 40450, 17905, 302, 275, 5994, 302, 31291, 8678, 354, 302, 346, 33690, 322, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28989, 326, 2153, 4452, 17, 571, 11644, 936, 14827, 659, 970, 904, 47581, 1337, 19, 334, 1043, 867, 6193, 292, 12352, 17, 9047, 630, 12934, 326, 17, 329, 353, 34330, 4569, 302, 41127, 884, 5994, 19, 11757, 552, 18067, 727, 884, 88, 392, 714, 2027, 489, 278, 26279, 3000, 376, 26770, 34474, 46254, 8868, 31247, 274, 1128, 1349, 17, 2241, 19, 16605, 17, 415, 19, 43516, 19, 334, 1350, 353, 1182, 4151, 19, 3242, 275, 17642, 5376, 4669, 5913, 17, 490, 867, 9750, 560, 27344, 472, 44738, 302, 5905, 784, 793, 19, 12694, 2342, 10428, 31, 15956, 979, 7808, 345, 4650, 286, 936, 1659, 328, 2241, 12438, 328, 1317, 328, 1567, 815, 333, 449, 78, 415, 19, 27588, 349, 1678, 346, 354, 6237, 10037, 19, 432, 6777, 4732, 43648, 624, 20043, 304, 5342, 318, 8017, 70, 2432, 32, 279, 3802, 354, 11577, 21257, 3149, 547, 13719, 470, 29198, 624, 8303, 4732, 1898, 44758, 19, 34270, 278, 41497, 298, 7556, 1731, 2972, 360, 318, 5717, 1317, 1156, 354, 292, 273, 336, 1156, 354, 43648, 624, 1516, 360, 32, 15623, 7356, 81, 19, 11644, 19, 322, 1834, 16957, 15936, 302, 2327, 14827, 302, 275, 5994, 302, 275, 12178, 45834, 41127, 302, 346, 33690, 17, 867, 10547, 16687, 560, 275, 43648, 624, 1516, 8931, 17, 302, 928, 273, 4151, 35595, 6644, 523, 275, 1682, 1472, 19, 3433, 529, 2755, 4430, 440, 275, 3022, 302, 1704, 5994, 497, 275, 43648, 624, 1516, 30926, 9354, 32, 13056, 11644, 936, 14827, 659, 440, 1236, 30716, 302, 275, 1324, 329, 2481, 302, 9095, 19, 1131, 275, 1136, 302, 1998, 4523, 8495, 48449, 74, 322, 5824, 6542, 48449, 14, 292, 3351, 571, 1422, 353, 273, 4806, 496, 275, 5641, 3599, 867, 9425, 630, 17058, 292, 2153, 2300, 19, 2416, 808, 1225, 292, 3351, 571, 353, 27396, 275, 1998, 378, 1366, 608, 1257, 44275, 8237, 70, 322, 5824, 16625, 378, 1366, 525, 789, 1058, 17905, 353, 275, 1051, 382, 874, 2518, 479, 19, 22608, 108, 204, 23, 19, 27588, 349, 13, 70, 354, 14, 346, 354, 13, 70, 659, 1998, 19170, 70, 33301, 13, 608, 1257, 659, 6030, 368, 17, 556, 19, 368, 4154, 24, 17, 7356, 19, 368, 17, 11644, 19, 435, 22608, 108, 204, 24, 19, 382, 12746, 19, 6030, 382, 17, 556, 19, 681, 4154, 29, 22608, 108, 204, 25, 19, 41127, 1425, 42187, 808, 448, 6353, 31, 13622, 20705, 2272, 328, 1091, 2763, 2350, 39539, 995, 2350, 316, 2432, 33694, 2350, 39539, 4611, 310, 286, 936, 32, 490, 70, 1352, 936, 995, 6831, 295, 518, 2432, 19312, 360, 15915, 612, 354, 2350, 39539, 17, 297, 545, 425, 3624, 32241, 1239, 17, 2350, 39539, 3772, 273, 4597, 286, 39539, 2350, 39539, 296, 2554, 5717, 2350, 936, 19, 382, 12746, 19, 6030, 8392, 17, 556, 19, 887, 19, 7356, 19, 382, 11644, 19, 681, 19, 322, 21910, 448, 7513, 302, 523, 17285, 353, 1051, 19312, 302, 523, 17285, 17, 754, 275, 1352, 288, 497, 1855, 353, 523, 17285, 302, 275, 19312, 302, 808, 523, 17285, 3217, 276, 17, 397, 872, 10180, 275, 2231, 2317, 353, 523, 17285, 302, 523, 17285, 329, 302, 275, 14144, 302, 808, 523, 17285, 19, 551, 5055, 19, 334, 4398, 353, 6162, 17, 928, 353, 275, 5127, 382, 867, 630, 1043, 17224, 311, 7260, 808, 9566, 31, 275, 2139, 353, 1998, 19170, 70, 33301, 608, 1257, 17, 6030, 382, 17, 556, 19, 1233, 694, 22608, 108, 204, 19792, 18936, 302, 275, 5994, 302, 346, 354, 43563, 560, 871, 402, 558, 40260, 0, 658, 5248, 31, 40822, 13823, 204, 204, 39, 1055, 705, 5252, 311, 838, 273, 13160, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 19, 3355, 17, 1429, 21175, 18, 82, 842, 1493, 2950, 444, 9493, 440, 848, 904, 521, 902, 1250, 1120, 3253, 437, 25263, 19, 7609, 21175, 18, 82, 842, 1493, 440, 1769, 686, 70, 9, 329, 686, 71, 9, 618, 1698, 444, 3113, 292, 275, 1729, 13160, 397, 686, 70, 688, 46950, 308, 688, 280, 1144, 9, 14584, 22, 688, 280, 1144, 688, 280, 931, 67, 30, 46640, 1273, 686, 70, 65, 46950, 308, 9, 26671, 275, 18888, 21594, 521, 302, 1950, 18, 4721, 1892, 686, 70, 9, 329, 686, 71, 2176, 204, 204, 39, 1055, 705, 869, 686, 51, 9, 14584, 22, 65, 280, 392, 65, 280, 435, 65, 4423, 931, 67, 25, 27766, 6591, 302, 21175, 18, 82, 842, 1493, 17, 329, 275, 686, 78, 16909, 427, 2871, 3192, 21175, 18, 82, 842, 1493, 15993, 686, 81, 68, 78, 9, 1924, 686, 87, 68, 78, 9, 24493, 7269, 21, 65, 280, 317, 68, 78, 688, 280, 468, 68, 78, 688, 280, 931, 67, 30, 7891, 4222, 970, 6591, 874, 1169, 21175, 18, 82, 842, 1493, 292, 2323, 19, 6234, 11237, 311, 2379, 1662, 1910, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 2268, 618, 838, 19, 204, 204, 1380, 4429, 9265, 204, 204, 15, 334, 1043, 1007, 3192, 970, 1892, 686, 51, 9, 329, 686, 48, 2176, 204, 15, 7616, 302, 275, 1682, 686, 51, 9, 2238, 3192, 970, 2817, 18, 7996, 1892, 686, 81, 68, 78, 9, 329, 686, 87, 68, 78, 2176, 204, 204, 1380, 3215, 9265, 204, 204, 15, 334, 542, 302, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 565, 1055, 705, 618, 838, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 1165, 204, 204, 15, 4429, 31, 1758, 22, 2989, 7147, 1758, 21, 39387, 69, 204, 15, 3215, 31, 1758, 5820, 2934, 69, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 3404, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 1609, 523, 275, 18888, 21594, 521, 2661, 19, 1765, 848, 1627, 17, 572, 618, 949, 275, 542, 302, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 19, 334, 1113, 542, 302, 46751, 353, 275, 1066, 302, 275, 46751, 292, 848, 1627, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 1687, 18, 1424, 18, 6702, 5696, 204, 204, 22, 19, 1606, 275, 537, 1019, 686, 51, 9, 329, 686, 48, 2176, 204, 23, 19, 1765, 848, 2871, 302, 21175, 18, 82, 842, 1493, 17, 949, 275, 933, 302, 1769, 686, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 81, 68, 78, 9, 311, 686, 87, 68, 78, 2176, 204, 24, 19, 3736, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 1609, 523, 275, 18888, 21594, 521, 2661, 19, 204, 25, 19, 1765, 848, 1627, 17, 949, 275, 542, 302, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 974, 275, 5660, 2089, 1743, 18174, 96, 83, 1134, 24, 7078, 1273, 686, 83, 9, 353, 275, 542, 302, 21175, 18, 82, 842, 1493, 292, 275, 1627, 19, 204, 26, 19, 888, 275, 1113, 542, 302, 46751, 560, 17020, 275, 46751, 292, 848, 1627, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 8756, 204, 204, 3691, 5207, 204, 461, 949, 68, 38999, 981, 13, 51, 17, 1144, 17, 6591, 330, 204, 264, 314, 3736, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 204, 264, 4119, 289, 1306, 204, 264, 348, 317, 17, 468, 292, 6591, 31, 204, 268, 1627, 289, 1306, 204, 268, 348, 296, 292, 933, 13, 81, 17, 468, 465, 368, 330, 204, 305, 1627, 19, 1223, 13, 78, 14, 204, 268, 4119, 19, 1223, 13, 2207, 14, 204, 204, 264, 314, 888, 275, 542, 302, 2220, 46751, 292, 848, 1627, 204, 264, 1113, 68, 38999, 981, 289, 500, 204, 264, 348, 1627, 292, 4119, 31, 204, 268, 300, 289, 1245, 13, 2207, 14, 204, 268, 46751, 289, 500, 204, 268, 348, 296, 292, 933, 13, 83, 330, 204, 305, 348, 781, 292, 933, 13, 78, 465, 368, 17, 300, 330, 204, 485, 348, 724, 292, 933, 13, 79, 465, 368, 17, 300, 330, 204, 895, 397, 1627, 64, 78, 66, 11030, 1627, 64, 79, 66, 2186, 1144, 329, 1627, 64, 78, 66, 11030, 1627, 64, 80, 66, 2186, 1144, 329, 1627, 64, 79, 66, 11030, 1627, 64, 80, 66, 2186, 1144, 31, 204, 2058, 46751, 1412, 368, 204, 268, 1113, 68, 38999, 981, 1412, 46751, 204, 204, 264, 314, 455, 275, 1113, 542, 302, 46751, 10814, 931, 67, 30, 465, 1168, 204, 264, 407, 1113, 68, 38999, 981, 1564, 322, 1003, 777, 30, 465, 1168, 14, 204, 204, 8, 1606, 275, 537, 1019, 204, 51, 17, 1144, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 7040, 289, 551, 2644, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 348, 906, 292, 933, 13, 51, 2395, 204, 204, 8, 888, 329, 456, 275, 1113, 542, 302, 46751, 204, 2102, 13, 3446, 68, 38999, 981, 13, 51, 17, 1144, 17, 6591, 602, 204, 3691, 0, 18, 2935, 353, 275, 17294, 3269, 292, 3511, 36, 204, 18, 2935, 867, 275, 1043, 3269, 18915, 560, 14272, 329, 33259, 36, 204, 18, 10643, 353, 275, 17294, 13709, 36, 204, 18, 17182, 6860, 5899, 36, 204, 18, 17182, 9139, 1153, 8971, 1043, 36, 204, 18, 2026, 3299, 353, 275, 17294, 3477, 36, 204, 18, 2026, 3299, 353, 8971, 36, 204, 18, 2026, 3299, 353, 18461, 36, 204, 18, 10643, 353, 275, 8453, 302, 830, 9351, 36, 204, 18, 2935, 529, 275, 931, 17294, 5899, 36, 204, 18, 4208, 9340, 10212, 1194, 24412, 36, 204, 18, 4208, 8971, 10212, 1194, 9340, 36, 204, 18, 10643, 867, 275, 1043, 3269, 523, 7625, 36, 204, 18, 2935, 884, 88, 275, 23167, 4418, 3477, 292, 275, 2688, 36, 204, 18, 4208, 8971, 275, 17294, 3477, 292, 275, 2688, 36, 204, 3728, 353, 275, 17294, 3269, 292, 3511, 36, 204, 7279, 270, 1516, 673, 17294, 3556, 5052, 3269, 353, 7035, 270, 1516, 17, 329, 490, 7163, 1818, 311, 630, 3406, 571, 4589, 10355, 19, 204, 673, 17338, 8864, 496, 275, 5052, 7035, 270, 1516, 3269, 23500, 867, 275, 1144, 1282, 8817, 89, 17, 928, 867, 1193, 292, 27512, 1047, 204, 3728, 867, 275, 1043, 3269, 18915, 560, 14272, 329, 33259, 36, 204, 6031, 19812, 3269, 6714, 25627, 12464, 20801, 1110, 360, 1702, 448, 17758, 321, 823, 322, 13529, 21476, 14233, 71, 3901, 10785, 14, 5366, 496, 14272, 24873, 275, 23483, 3269, 2404, 275, 1987, 566, 4658, 33259, 2317, 382, 11481, 322, 8478, 302, 36822, 435, 31, 3787, 14, 329, 1407, 6851, 322, 13529, 21476, 571, 31, 1036, 14, 2317, 1698, 1895, 7211, 292, 23483, 19, 204, 15297, 353, 275, 17294, 13709, 36, 204, 673, 1142, 25762, 353, 437, 432, 21298, 17, 329, 1335, 25762, 2643, 869, 1742, 3250, 275, 17294, 13709, 292, 275, 2688, 17, 1910, 33854, 5438, 311, 1017, 13709, 448, 10195, 18322, 5563, 70, 412, 11704, 365, 322, 56, 640, 41073, 31, 16245, 122, 42627, 26209, 38742, 42627, 16245, 106, 31971, 28885, 6953, 112, 31, 1622, 1947, 471, 4029, 281, 19988, 1001, 659, 928, 11647, 311, 275, 6733, 496, 1163, 21631, 14029, 10701, 3651, 3511, 17, 448, 16343, 292, 275, 25762, 10370, 19, 204, 21912, 6860, 5899, 36, 204, 837, 7669, 28, 7089, 6099, 84, 21595, 19449, 14150, 73, 277, 547, 15455, 25643, 13567, 1605, 17412, 3217, 269, 275, 690, 17, 28264, 2842, 311, 7149, 7266, 3217, 2115, 6860, 1622, 531, 275, 12146, 270, 332, 1652, 27915, 5013, 402, 397, 490, 1466, 275, 4719, 3623, 17, 521, 7266, 3582, 41925, 6644, 311, 874, 1824, 1704, 2434, 523, 275, 1901, 5899, 302, 1169, 1051, 1874, 17, 10549, 5899, 1113, 19, 204, 21912, 9139, 1153, 8971, 1043, 36, 204, 34809, 6800, 26177, 779, 70, 21912, 26372, 8971, 1043, 36, 13634, 6800, 26177, 779, 70, 17, 1415, 18321, 275, 7364, 3935, 70, 44855, 292, 8449, 364, 6603, 17, 867, 275, 1043, 23882, 302, 8971, 1415, 34959, 1901, 302, 275, 7136, 9992, 3584, 1043, 19, 17182, 26372, 8971, 497, 36918, 311, 20388, 36, 204, 2920, 3299, 353, 275, 17294, 3477, 36, 204, 28, 30838, 4418, 43798, 292, 275, 5179, 46, 3084, 2317, 472, 15870, 279, 19, 27664, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 9517, 12668, 2317, 472, 15870, 887, 2682, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 5933, 2139, 31, 47626, 19, 9517, 24412, 2317, 472, 15870, 279, 19, 11818, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 9517, 44126, 2317, 472, 15870, 279, 19, 1233, 2934, 34269, 19, 9517, 8971, 2317, 472, 15870, 279, 19, 18881, 34269, 19, 9517, 9340, 2317, 472, 15870, 279, 19, 1199, 3894, 34269, 19, 9517, 12415, 2317, 472, 15870, 279, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 571, 2051, 34269, 19, 204, 2920, 3299, 353, 8971, 36, 204, 19917, 10835, 17, 1207, 2181, 40256, 353, 2941, 311, 1051, 302, 275, 17294, 45336, 292, 275, 2688, 19, 8879, 275, 21479, 302, 373, 3128, 3201, 4801, 10921, 292, 275, 860, 40138, 17, 490, 353, 11022, 496, 275, 1864, 3303, 3556, 448, 8971, 867, 43195, 5387, 10835, 17, 1207, 2181, 8518, 19, 204, 2920, 3299, 353, 18461, 36, 204, 673, 13941, 302, 275, 7504, 19280, 1259, 7988, 292, 39707, 440, 275, 794, 2151, 302, 1901, 302, 275, 8157, 29540, 1683, 275, 9354, 302, 29275, 4878, 322, 53, 4890, 27513, 18, 56, 619, 266, 1257, 14, 1025, 275, 20318, 302, 18461, 19, 18461, 26648, 20208, 310, 1257, 329, 275, 11435, 24382, 281, 5439, 322, 17683, 18172, 14, 560, 1916, 9769, 2631, 275, 12535, 395, 18, 53, 44278, 6482, 322, 2132, 3894, 18, 9769, 789, 204, 15297, 353, 275, 8453, 302, 830, 9351, 36, 204, 56, 640, 41073, 1252, 30393, 2841, 529, 1236, 11525, 24446, 302, 48514, 19, 15653, 4316, 10972, 84, 18, 38525, 3898, 84, 18, 46, 3084, 1516, 3898, 84, 18, 38, 569, 291, 48514, 29037, 798, 59, 34825, 48514, 27743, 1561, 9562, 447, 521, 3483, 21272, 19, 4222, 630, 37148, 11525, 3467, 32, 497, 368, 274, 18, 16977, 6352, 2915, 19798, 17, 5052, 292, 4109, 45147, 4432, 19283, 19, 1258, 1182, 3015, 204, 3728, 529, 275, 931, 17294, 5899, 36, 204, 1003, 30838, 4418, 43798, 292, 275, 5179, 44389, 28454, 1257, 19, 8624, 27615, 9610, 496, 44126, 353, 1051, 302, 275, 17294, 5899, 292, 275, 2688, 19, 9517, 24412, 19, 412, 1070, 1818, 311, 275, 27747, 12509, 15606, 17, 275, 3477, 302, 24412, 869, 14893, 38926, 292, 275, 24619, 302, 13100, 1697, 640, 348, 630, 3406, 720, 17, 1207, 18, 27, 17, 1207, 2181, 19, 9517, 42613, 19, 9517, 12668, 19, 9517, 12415, 19, 9517, 9340, 19, 9517, 10195, 6856, 6484, 19, 9517, 21762, 19, 13936, 2696, 5013, 8617, 204, 4947, 9340, 10212, 1194, 24412, 36, 204, 44, 821, 331, 329, 9340, 874, 23500, 348, 1910, 16023, 302, 2181, 19, 4682, 9340, 353, 1910, 2666, 5658, 1194, 24412, 490, 1856, 874, 1910, 2666, 1182, 24157, 38431, 3511, 19, 10162, 4109, 8250, 302, 9340, 1856, 874, 7196, 1048, 273, 3171, 22376, 9659, 1194, 24412, 7196, 19, 204, 4947, 8971, 10212, 1194, 9340, 36, 204, 673, 472, 864, 371, 346, 46139, 322, 41990, 40757, 555, 1257, 329, 27747, 12415, 14, 329, 27747, 8971, 529, 12551, 311, 444, 275, 17338, 19, 27747, 9340, 24979, 19542, 5287, 19, 334, 13066, 311, 928, 1422, 867, 4883, 8142, 1283, 275, 4744, 45336, 302, 275, 33978, 8934, 329, 3153, 302, 8934, 14109, 322, 40557, 8934, 14, 353, 22360, 336, 19, 204, 15297, 867, 275, 1043, 3269, 523, 7625, 36, 204, 57, 555, 362, 3269, 673, 48653, 3269, 353, 11022, 448, 275, 17294, 3269, 292, 275, 2688, 329, 490, 353, 275, 17294, 3269, 302, 275, 23815, 10593, 1516, 4316, 19, 1058, 3269, 2080, 273, 9920, 2219, 3332, 720, 17, 1207, 2181, 8518, 19, 204, 3728, 884, 88, 275, 23167, 4418, 3477, 292, 275, 2688, 36, 204, 29764, 43109, 867, 6860, 275, 794, 77, 748, 16857, 2481, 292, 275, 2688, 17, 8367, 560, 12867, 10261, 13509, 17, 34132, 17, 48570, 1257, 329, 361, 92, 13595, 19, 204, 4947, 8971, 275, 17294, 3477, 292, 275, 2688, 36, 204, 42, 11675, 353, 6028, 1051, 302, 275, 17294, 5899, 292, 275, 2688, 329, 867, 1043, 22986, 3332, 29077, 10355, 19, 334, 1043, 37912, 867, 12551, 311, 444, 18321, 3332, 571, 2051, 10355, 19, 14262, 1051, 302, 275, 2688, 884, 88, 17294, 3477, 353, 9340, 19, 9517, 8971, 353, 1425, 275, 9665, 8944, 1429, 302, 275, 2688, 884, 88, 17294, 32313, 17, 2864, 38439, 329, 25762, 2643, 19, 0, 676, 6937, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 2510, 2192, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 6937, 440, 273, 800, 700, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 577, 289, 700, 204, 268, 370, 19, 1735, 289, 443, 204, 268, 370, 19, 1633, 289, 443, 204, 204, 676, 20838, 31, 204, 264, 320, 37657, 2986, 348, 4636, 440, 2510, 7223, 1279, 204, 264, 436, 1020, 68, 1241, 68, 1270, 13, 327, 17, 1610, 31, 6937, 17, 1029, 68, 876, 31, 421, 17, 4450, 31, 421, 289, 500, 17, 2260, 68, 876, 31, 421, 289, 443, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 273, 4450, 18, 2922, 1813, 311, 1020, 275, 2260, 329, 4450, 302, 273, 944, 440, 275, 800, 700, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 790, 944, 2545, 4050, 19, 204, 305, 1029, 68, 876, 322, 339, 330, 334, 700, 302, 275, 944, 311, 1813, 348, 19, 204, 305, 4450, 322, 339, 17, 1448, 330, 334, 790, 4450, 302, 275, 1813, 19, 1243, 311, 500, 19, 204, 305, 2260, 68, 876, 322, 339, 17, 1448, 330, 334, 700, 302, 275, 2260, 944, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 2260, 700, 329, 4450, 302, 275, 1029, 944, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 314, 3301, 1322, 31, 828, 275, 2192, 353, 1392, 17, 407, 443, 204, 268, 397, 1610, 353, 443, 31, 204, 305, 407, 443, 204, 822, 268, 314, 828, 275, 790, 944, 4083, 275, 1029, 700, 17, 407, 1163, 2260, 329, 4450, 204, 268, 397, 1610, 19, 577, 564, 1029, 68, 876, 31, 204, 305, 407, 322, 3619, 68, 876, 17, 4450, 14, 204, 822, 268, 314, 8276, 1813, 275, 1824, 329, 1629, 20457, 204, 268, 1824, 68, 1300, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 19, 1735, 17, 1029, 68, 876, 17, 4450, 465, 368, 17, 1610, 19, 577, 14, 397, 1610, 19, 1735, 902, 443, 204, 268, 1629, 68, 1300, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 19, 1633, 17, 1029, 68, 876, 17, 4450, 465, 368, 17, 1610, 19, 577, 14, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 397, 1610, 19, 1735, 353, 443, 329, 1610, 19, 1633, 902, 443, 204, 822, 268, 314, 455, 275, 722, 497, 275, 1824, 521, 1629, 11309, 17, 521, 443, 397, 508, 1193, 204, 268, 407, 1824, 68, 1300, 521, 1629, 68, 1300, 204, 204, 264, 436, 529, 68, 36074, 1679, 13, 327, 17, 1610, 31, 6937, 17, 944, 22, 68, 876, 31, 421, 17, 944, 23, 68, 876, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 20783, 3855, 970, 2731, 292, 273, 2510, 2192, 529, 32663, 1679, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 1610, 302, 275, 2510, 2192, 19, 204, 305, 944, 22, 68, 876, 322, 339, 330, 334, 700, 302, 275, 1043, 944, 19, 204, 305, 944, 23, 68, 876, 322, 339, 330, 334, 700, 302, 275, 1350, 944, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2731, 529, 32663, 1679, 17, 1078, 2130, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 2192, 353, 443, 521, 1051, 521, 1855, 2731, 529, 508, 1193, 292, 275, 2192, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 2192, 353, 443, 204, 268, 397, 1610, 353, 443, 31, 204, 305, 980, 987, 499, 3383, 2192, 353, 443, 431, 204, 822, 268, 314, 1752, 275, 2260, 329, 4450, 302, 848, 944, 204, 268, 944, 22, 68, 1270, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 17, 944, 22, 68, 876, 14, 204, 268, 944, 23, 68, 1270, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 17, 944, 23, 68, 876, 14, 204, 822, 268, 314, 778, 397, 1855, 2731, 529, 1193, 292, 275, 2192, 204, 268, 397, 944, 22, 68, 1270, 353, 443, 521, 944, 23, 68, 1270, 353, 443, 31, 204, 305, 980, 987, 499, 5842, 521, 1855, 2731, 508, 1193, 292, 275, 2192, 431, 204, 822, 268, 314, 778, 397, 275, 2731, 529, 32663, 1679, 322, 9743, 4450, 17, 1792, 6757, 14, 204, 268, 407, 944, 22, 68, 1270, 64, 21, 66, 2167, 944, 23, 68, 1270, 64, 21, 66, 329, 944, 22, 68, 1270, 64, 22, 66, 564, 944, 23, 68, 1270, 64, 22, 66, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2510, 2192, 204, 264, 1610, 289, 6937, 13, 22, 14, 204, 264, 1610, 19, 1735, 289, 6937, 13, 23, 14, 204, 264, 1610, 19, 1633, 289, 6937, 13, 24, 14, 204, 264, 1610, 19, 1735, 19, 1735, 289, 6937, 13, 25, 14, 204, 264, 1610, 19, 1735, 19, 1633, 289, 6937, 13, 26, 14, 204, 264, 1610, 19, 1633, 19, 1735, 289, 6937, 13, 27, 14, 204, 264, 1610, 19, 1633, 19, 1633, 289, 6937, 13, 28, 14, 204, 204, 264, 314, 666, 273, 20838, 1014, 204, 264, 2192, 289, 20838, 374, 204, 204, 264, 314, 778, 397, 2731, 681, 329, 887, 529, 32663, 1679, 204, 264, 722, 289, 2192, 19, 879, 68, 36074, 1679, 13, 2125, 17, 681, 17, 887, 14, 204, 264, 456, 13, 75, 7, 18696, 2731, 681, 329, 887, 32663, 1679, 36, 463, 1300, 743, 204, 0, 658, 16190, 28456, 329, 15132, 15867, 981, 204, 204, 1380, 10721, 311, 16190, 28456, 204, 204, 38, 16190, 2231, 353, 273, 4818, 496, 1563, 292, 273, 700, 302, 3597, 521, 7463, 19, 334, 1901, 4802, 16190, 2231, 9995, 302, 273, 3324, 700, 521, 1554, 17, 273, 7448, 4708, 17, 329, 3161, 3324, 700, 521, 1554, 19, 204, 204, 1380, 25828, 39576, 204, 204, 34152, 10496, 529, 1376, 311, 5408, 1019, 292, 273, 16190, 2231, 19, 334, 1901, 2323, 7448, 10496, 529, 31, 204, 204, 15, 22684, 322, 1495, 14, 204, 15, 4275, 22684, 47900, 34, 521, 962, 35, 14, 204, 15, 33915, 38004, 322, 35, 14, 204, 15, 28457, 38004, 322, 33, 14, 204, 15, 33915, 38004, 521, 22684, 2416, 322, 17823, 14, 204, 15, 28457, 38004, 521, 22684, 2416, 322, 37530, 14, 204, 204, 1380, 16190, 16351, 9134, 204, 204, 15, 1758, 11497, 564, 388, 43, 7, 69, 204, 15, 1758, 8618, 7975, 336, 1323, 2846, 69, 204, 204, 1380, 15132, 15867, 981, 204, 204, 22197, 9901, 2512, 273, 35216, 311, 7072, 2824, 4042, 1330, 273, 4818, 1856, 444, 11529, 19, 33333, 529, 1713, 448, 16190, 7277, 19, 204, 204, 1380, 828, 20, 9538, 20, 20133, 277, 43134, 204, 204, 3719, 20, 9538, 20, 20133, 277, 8886, 529, 1376, 311, 4490, 1792, 6808, 302, 1576, 1609, 523, 273, 16190, 2231, 19, 334, 15618, 353, 31, 204, 3691, 204, 3719, 322, 8368, 2231, 14, 5512, 204, 226, 8886, 311, 444, 11529, 397, 3597, 204, 20133, 277, 204, 226, 8886, 311, 444, 11529, 397, 7463, 204, 10981, 828, 204, 3691, 204, 1380, 42198, 828, 88, 204, 204, 40434, 828, 88, 529, 1376, 311, 1356, 348, 3536, 4042, 19, 334, 15618, 353, 31, 204, 3691, 204, 3719, 322, 8368, 2231, 14, 5512, 204, 226, 828, 322, 8368, 2231, 14, 5512, 204, 264, 8886, 311, 444, 11529, 397, 1855, 3597, 204, 226, 41300, 204, 264, 8886, 311, 444, 11529, 397, 1043, 3597, 329, 1350, 7463, 204, 226, 9772, 828, 204, 20133, 277, 204, 226, 8886, 311, 444, 11529, 397, 1043, 7463, 204, 10981, 828, 204, 3691, 204, 1380, 11846, 25137, 204, 204, 673, 11846, 4147, 353, 437, 9037, 311, 10756, 828, 88, 19, 1547, 5018, 275, 4541, 5988, 311, 7260, 275, 1554, 311, 444, 13860, 17, 329, 275, 4541, 11846, 311, 16549, 275, 700, 311, 1356, 348, 19, 204, 3691, 204, 10894, 1554, 204, 226, 11846, 700, 22, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 22, 204, 226, 11846, 700, 23, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 23, 204, 226, 3168, 204, 226, 1210, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 1583, 508, 1936, 1169, 302, 275, 1713, 1019, 204, 10981, 5988, 204, 3691, 204, 1380, 32818, 33333, 204, 204, 44448, 4042, 529, 1966, 560, 17108, 16190, 7277, 440, 9273, 329, 20, 276, 9636, 10496, 19, 204, 204, 15, 9273, 3210, 1855, 4042, 1631, 444, 3597, 204, 15, 9636, 3210, 4260, 1051, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 521, 1855, 4042, 1631, 444, 3597, 204, 204, 1380, 31274, 30284, 204, 204, 26685, 1160, 5630, 529, 1376, 311, 2248, 830, 2237, 5687, 302, 13885, 1019, 329, 275, 6465, 16190, 700, 19, 204, 204, 1380, 37601, 9273, 88, 329, 9636, 88, 204, 204, 5681, 17108, 9273, 88, 329, 9636, 88, 17, 275, 9273, 4708, 353, 14416, 1043, 17, 329, 1675, 275, 9636, 4708, 19, 204, 204, 1380, 15132, 30284, 204, 204, 22197, 5630, 529, 1376, 311, 2248, 830, 2237, 5687, 302, 13885, 1019, 329, 275, 6465, 5107, 19, 204, 204, 1380, 12033, 9134, 204, 204, 28638, 5018, 275, 1758, 403, 69, 4818, 311, 3288, 6646, 9901, 19, 334, 15618, 353, 31, 204, 3691, 204, 403, 322, 8368, 2231, 14, 463, 204, 226, 8886, 311, 444, 11529, 397, 3597, 204, 98, 902, 463, 204, 226, 8886, 311, 444, 11529, 397, 7463, 204, 98, 204, 3691, 204, 28638, 1425, 5018, 275, 1758, 12263, 69, 4818, 311, 3288, 275, 11846, 4147, 19, 334, 15618, 353, 31, 204, 3691, 204, 12263, 322, 3334, 14, 463, 204, 226, 1322, 700, 22, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 22, 204, 264, 2280, 32, 204, 226, 1322, 700, 23, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 23, 204, 264, 2280, 32, 204, 226, 3168, 204, 226, 1540, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 1583, 508, 1936, 1169, 302, 275, 1713, 1019, 204, 98, 204, 3691, 204, 1380, 30414, 204, 204, 22, 19, 666, 273, 2548, 311, 949, 275, 2264, 302, 273, 3783, 2428, 1609, 523, 275, 4943, 677, 1864, 1576, 17, 3783, 542, 17, 3250, 1864, 1576, 17, 3250, 542, 17, 329, 2428, 690, 292, 4112, 19, 204, 23, 19, 666, 273, 2548, 311, 3822, 3855, 273, 2384, 353, 21772, 348, 275, 355, 291, 677, 458, 1609, 523, 1017, 33692, 19, 204, 24, 19, 666, 273, 2548, 311, 3822, 275, 2297, 302, 273, 1351, 1609, 523, 275, 4943, 677, 2852, 329, 275, 1351, 677, 2297, 19, 204, 204, 1380, 16361, 311, 22597, 204, 204, 15, 4160, 9106, 20, 36444, 4426, 16190, 7277, 521, 2558, 19, 204, 15, 16190, 7277, 722, 292, 273, 700, 302, 3597, 521, 7463, 19, 204, 15, 1974, 41180, 10496, 311, 2270, 16190, 7277, 19, 204, 15, 666, 10915, 4042, 560, 17108, 16190, 7277, 440, 9273, 329, 20, 276, 9636, 10496, 19, 0, 531, 10271, 532, 3207, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 5702, 532, 29173, 9731, 48, 14730, 204, 531, 4433, 532, 3017, 17, 5908, 17, 824, 204, 531, 4433, 68, 26762, 532, 21659, 204, 647, 8729, 204, 647, 1400, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 45251, 13, 748, 14, 204, 204, 461, 1137, 68, 935, 13, 546, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 329, 407, 1163, 1302, 329, 6729, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 752, 1302, 329, 6729, 1019, 19, 204, 264, 320, 204, 264, 314, 3594, 275, 752, 974, 10271, 204, 264, 440, 3207, 19, 3664, 13, 546, 14, 448, 3840, 31, 204, 268, 314, 763, 275, 752, 1302, 204, 268, 752, 68, 835, 289, 3840, 19, 835, 204, 268, 314, 2208, 275, 752, 311, 273, 2010, 1348, 204, 268, 6729, 68, 1309, 289, 645, 19, 643, 13, 655, 13, 3371, 19, 505, 481, 5887, 204, 268, 407, 752, 68, 835, 17, 6729, 68, 1309, 204, 204, 461, 3981, 68, 13645, 13, 10425, 68, 1309, 31, 645, 19, 766, 17, 771, 68, 8073, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 16627, 6729, 1019, 974, 19527, 19, 204, 204, 264, 457, 31, 204, 268, 6729, 68, 1309, 322, 1123, 19, 766, 330, 334, 6729, 1019, 311, 3981, 19, 204, 268, 771, 68, 8073, 322, 339, 330, 334, 542, 302, 8949, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 6729, 1769, 329, 3981, 11366, 19, 204, 264, 320, 204, 264, 314, 666, 273, 29173, 9731, 48, 14730, 570, 440, 275, 1713, 542, 302, 8949, 204, 264, 19869, 289, 29173, 9731, 48, 14730, 13, 83, 68, 8073, 34, 920, 68, 8073, 14, 204, 264, 314, 10083, 275, 570, 311, 275, 6729, 1019, 329, 2885, 275, 1769, 204, 264, 6729, 68, 2185, 289, 19869, 19, 2714, 68, 4396, 13, 10425, 68, 1309, 14, 204, 264, 314, 763, 275, 3981, 11366, 204, 264, 3981, 68, 15137, 289, 19869, 19, 5702, 68, 15137, 68, 204, 264, 407, 6729, 68, 2185, 17, 3981, 68, 15137, 204, 204, 461, 1395, 68, 481, 13, 481, 31, 645, 19, 766, 17, 6729, 68, 1309, 31, 645, 19, 766, 17, 6729, 68, 2185, 31, 645, 19, 766, 17, 7540, 68, 1190, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1716, 424, 440, 7540, 6729, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1123, 19, 766, 330, 334, 424, 311, 1395, 19, 204, 268, 6729, 68, 1309, 322, 1123, 19, 766, 330, 334, 6729, 1019, 311, 732, 348, 9683, 19, 204, 268, 6729, 68, 2185, 322, 1123, 19, 766, 330, 334, 1769, 348, 275, 6729, 1019, 19, 204, 268, 7540, 68, 1190, 322, 339, 330, 334, 1800, 302, 275, 7540, 6729, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 2908, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 3265, 302, 275, 7540, 6729, 1019, 204, 264, 7540, 68, 3992, 289, 645, 19, 3663, 13, 10425, 68, 2185, 564, 7540, 68, 1190, 14, 204, 264, 314, 1716, 275, 424, 440, 275, 7540, 6729, 1019, 204, 264, 424, 64, 28624, 68, 3992, 66, 289, 6729, 68, 1309, 64, 28624, 68, 3992, 66, 204, 264, 407, 424, 204, 204, 37, 748, 19, 3955, 4195, 986, 8121, 986, 68, 932, 17462, 2986, 4980, 5016, 2378, 204, 461, 1137, 68, 935, 68, 2923, 13, 986, 68, 932, 31, 394, 330, 204, 264, 320, 204, 264, 1385, 437, 752, 329, 407, 1163, 1302, 329, 6729, 1019, 19, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 457, 31, 204, 268, 1137, 68, 932, 322, 325, 330, 334, 1187, 302, 752, 311, 1137, 322, 1957, 521, 1682, 789, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 752, 1302, 329, 6729, 1019, 19, 204, 264, 320, 204, 264, 314, 778, 275, 1137, 1187, 204, 264, 397, 1137, 68, 932, 508, 292, 2470, 1957, 491, 379, 2715, 5441, 204, 268, 407, 5908, 13, 718, 833, 1962, 1137, 1187, 534, 204, 264, 314, 763, 273, 1400, 752, 832, 204, 264, 832, 289, 1400, 19, 4352, 13, 10944, 19, 10944, 15736, 11968, 18, 2936, 31980, 5684, 3063, 204, 264, 314, 1385, 275, 752, 204, 264, 752, 68, 835, 17, 6729, 68, 1309, 289, 1137, 68, 935, 13, 546, 14, 204, 264, 314, 455, 275, 752, 1302, 329, 6729, 1019, 448, 2084, 204, 264, 407, 5908, 13, 935, 68, 835, 34, 935, 68, 835, 17, 6729, 68, 1309, 34, 10425, 68, 1309, 19, 11380, 1447, 204, 204, 37, 748, 19, 3955, 4195, 4018, 8121, 83, 68, 8073, 17462, 2986, 4980, 4252, 2378, 204, 461, 3981, 68, 8024, 13, 83, 68, 8073, 31, 421, 330, 204, 264, 320, 204, 264, 16627, 6729, 1019, 329, 407, 1848, 2914, 19, 204, 204, 264, 457, 31, 204, 268, 300, 68, 8073, 322, 339, 330, 334, 542, 302, 8949, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 1848, 2914, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6729, 1019, 497, 275, 824, 204, 264, 6729, 68, 1309, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 1309, 2378, 204, 264, 314, 16627, 275, 6729, 1019, 204, 264, 6729, 68, 2185, 17, 3981, 68, 15137, 289, 3981, 68, 13645, 13, 10425, 68, 1309, 17, 300, 68, 8073, 14, 204, 264, 314, 455, 275, 1848, 2914, 448, 2084, 204, 264, 407, 5908, 13, 2640, 68, 4018, 34, 5702, 68, 15137, 19, 11380, 1447, 204, 204, 37, 748, 19, 3955, 4195, 18513, 8121, 4352, 17462, 2986, 4980, 4252, 2378, 204, 461, 5710, 68, 2640, 13, 4352, 31, 421, 330, 204, 264, 320, 204, 264, 1716, 424, 440, 7540, 6729, 1019, 329, 407, 2908, 424, 329, 1848, 2914, 19, 204, 204, 264, 457, 31, 204, 268, 3508, 322, 339, 330, 334, 1800, 302, 275, 7540, 6729, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 2908, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6729, 1019, 17, 1769, 17, 329, 424, 497, 275, 824, 204, 264, 6729, 68, 1309, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 1309, 2378, 204, 264, 6729, 68, 2185, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 2185, 2378, 204, 264, 424, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 481, 2378, 204, 264, 314, 1716, 275, 424, 440, 275, 7540, 6729, 1019, 204, 264, 2908, 68, 481, 289, 1395, 68, 481, 13, 481, 17, 6729, 68, 1309, 17, 6729, 68, 2185, 17, 421, 13, 4352, 602, 204, 264, 314, 455, 275, 2908, 424, 448, 2084, 204, 264, 407, 5908, 13, 10425, 68, 1309, 34, 8107, 68, 481, 19, 11380, 1447, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 17305, 61, 346, 14841, 18, 1909, 25178, 204, 17305, 61, 346, 14841, 18, 1909, 17, 1425, 3556, 448, 8257, 61, 18, 1909, 17, 353, 273, 33051, 2025, 2315, 398, 18213, 8544, 9737, 311, 275, 9755, 11036, 17320, 7829, 311, 11037, 17, 9815, 7500, 427, 17, 11794, 630, 720, 31, 7879, 3315, 471, 1185, 40795, 273, 40261, 1233, 19403, 19, 332, 11036, 61, 40261, 1233, 19403, 1120, 11037, 275, 3139, 427, 9737, 302, 273, 43668, 22873, 523, 11036, 61, 884, 88, 2153, 427, 25149, 22658, 12364, 8933, 311, 275, 9755, 11036, 17320, 19, 334, 8933, 353, 2545, 13013, 1683, 275, 33051, 2025, 2315, 398, 18213, 19158, 7528, 440, 14475, 19, 1058, 9737, 1120, 732, 273, 12650, 18, 2788, 83, 2254, 681, 1043, 7341, 710, 15104, 329, 273, 304, 5293, 43668, 32539, 19, 204, 11625, 336, 440, 1182, 1194, 720, 17, 17244, 9513, 302, 3793, 17, 20688, 17627, 17, 329, 15875, 17, 275, 11036, 61, 43668, 22873, 1120, 11037, 523, 273, 40261, 1233, 19403, 497, 11036, 25178, 12503, 2846, 630, 29169, 4128, 21644, 281, 10122, 13108, 17320, 292, 17126, 19, 14614, 931, 4112, 1877, 11037, 17, 43668, 14169, 1163, 35537, 12181, 17, 630, 928, 917, 490, 1120, 13383, 1163, 9001, 6946, 329, 4959, 273, 15858, 556, 573, 84, 861, 35272, 3196, 302, 22854, 2636, 45558, 880, 311, 5288, 275, 9755, 11036, 17320, 19, 204, 837, 4998, 311, 20825, 3793, 311, 275, 6297, 17, 275, 43668, 884, 88, 794, 4321, 298, 1491, 27539, 353, 17803, 273, 717, 17567, 18, 18451, 480, 993, 299, 9772, 23028, 4605, 521, 480, 13799, 19, 1058, 717, 480, 13799, 353, 2545, 17434, 448, 273, 35349, 311, 4066, 275, 5585, 2350, 36544, 5748, 1882, 273, 3196, 302, 2817, 38777, 292, 275, 5573, 302, 6894, 19, 7616, 1136, 302, 275, 4128, 364, 3040, 23, 37466, 9739, 869, 437, 13341, 480, 13799, 17, 329, 1250, 529, 1376, 448, 275, 1622, 27971, 1001, 496, 1065, 38281, 2761, 5569, 329, 22864, 22658, 5685, 42787, 19, 3433, 1425, 9393, 4128, 364, 3040, 23, 311, 1622, 11105, 1001, 311, 1792, 7777, 523, 275, 43734, 685, 2288, 17, 2864, 11053, 884, 88, 21956, 3301, 17, 928, 16913, 4558, 753, 1331, 523, 275, 2817, 6297, 884, 88, 667, 12346, 333, 19, 204, 3837, 1120, 3074, 2327, 3054, 311, 5288, 275, 2817, 6297, 17, 1273, 490, 1120, 21402, 19528, 17, 10228, 435, 19, 14475, 26186, 361, 1162, 94, 39842, 929, 17, 39706, 719, 560, 20478, 14475, 26186, 412, 10543, 6487, 707, 404, 17, 1120, 29768, 594, 275, 2661, 302, 275, 4128, 364, 3040, 23, 37466, 9739, 348, 43668, 884, 88, 5656, 1335, 14475, 26186, 3983, 17191, 332, 90, 21122, 16725, 18, 1571, 525, 953, 276, 34713, 275, 22873, 884, 88, 5194, 19, 6917, 43668, 5656, 17, 4410, 5453, 1120, 444, 2312, 497, 9737, 3326, 292, 39063, 348, 275, 6297, 884, 88, 9739, 311, 11774, 329, 6348, 490, 523, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 5533, 302, 275, 6297, 884, 88, 8705, 43324, 2413, 19, 204, 38, 11502, 302, 275, 12471, 496, 1120, 444, 2312, 311, 275, 30468, 523, 275, 346, 14841, 18, 1909, 9737, 2255, 346, 8281, 1000, 329, 5370, 22775, 19, 3665, 618, 4309, 1182, 1465, 1605, 12471, 5084, 19, 204, 22307, 6724, 17, 292, 24272, 440, 30962, 17, 353, 9218, 346, 8281, 1000, 322, 9313, 92, 38774, 12714, 7679, 2001, 291, 936, 51, 659, 437, 14284, 18, 6070, 21437, 348, 36544, 348, 275, 412, 16709, 11036, 21139, 19, 334, 6309, 3514, 730, 17, 928, 353, 275, 1302, 302, 273, 11636, 4279, 329, 28635, 3332, 720, 5279, 17, 1120, 444, 13320, 523, 275, 30468, 560, 23415, 6252, 274, 1882, 275, 9618, 11036, 19404, 884, 88, 14502, 410, 2527, 9737, 1283, 9815, 329, 11261, 11794, 19, 204, 41, 16709, 6138, 30133, 299, 28940, 1067, 20989, 39694, 322, 1557, 22775, 14, 204, 673, 7089, 11036, 19404, 322, 41, 16709, 14, 6138, 30133, 299, 28940, 1067, 20989, 39694, 322, 1557, 22775, 14, 5018, 275, 12022, 1570, 6320, 39694, 2725, 7531, 1080, 2417, 9417, 348, 275, 18773, 933, 302, 5953, 18, 5758, 23985, 17, 928, 6019, 275, 4954, 311, 4789, 34142, 11651, 322, 39612, 18, 51, 9481, 789, 334, 1561, 2048, 2255, 273, 2001, 773, 4147, 440, 273, 16034, 542, 302, 19014, 4550, 322, 28894, 17, 46079, 17, 4408, 12237, 17, 16453, 357, 6124, 329, 24732, 9823, 4154, 15037, 4154, 277, 4432, 271, 18438, 551, 40, 39903, 66, 1348, 10780, 789, 45567, 17, 8810, 19825, 14885, 8985, 322, 22824, 707, 17, 7249, 21737, 17, 3264, 3284, 14, 440, 10244, 1242, 329, 16034, 995, 270, 4579, 19, 8257, 18562, 4408, 12237, 17, 928, 25040, 734, 4169, 1070, 329, 23429, 5163, 1154, 19, 852, 13053, 357, 6124, 448, 29871, 1103, 17, 275, 9029, 11689, 302, 275, 6320, 39694, 630, 2223, 13283, 329, 18773, 8352, 719, 311, 273, 10244, 18243, 6258, 19, 4585, 5795, 7784, 20941, 2105, 3680, 302, 275, 357, 6124, 11337, 311, 4151, 31170, 302, 275, 1350, 18, 1115, 11651, 329, 2311, 40326, 17192, 19, 2001, 773, 440, 4542, 19014, 1842, 19, 45567, 8810, 19825, 14885, 322, 11968, 292, 5150, 329, 2308, 14, 440, 437, 7510, 995, 270, 2446, 18, 8382, 4368, 19, 501, 6124, 448, 273, 29871, 1103, 6876, 273, 2223, 13283, 329, 18773, 8352, 302, 275, 6320, 39694, 311, 273, 3060, 22885, 18243, 6258, 4147, 19, 4585, 5795, 7784, 20941, 2105, 3680, 302, 275, 357, 6124, 928, 11337, 311, 273, 31170, 302, 275, 1350, 1552, 302, 275, 11651, 329, 16034, 40326, 17192, 19, 41416, 628, 6906, 18, 51, 9481, 10780, 1609, 523, 275, 3440, 302, 273, 717, 9693, 24574, 10780, 19, 10074, 19303, 537, 12237, 6876, 275, 2652, 302, 275, 24755, 2746, 292, 275, 8933, 2945, 19, 204, 3070, 1182, 12471, 329, 17627, 2545, 2312, 311, 275, 9755, 11036, 17320, 17, 6321, 14475, 884, 88, 1472, 630, 10447, 1963, 4537, 19, 41704, 19, 13942, 20, 4321, 18, 8242, 20, 2816, 93, 18, 32459, 18, 1909, 18, 71, 7762, 880, 18, 416, 18, 6316, 19, 204, 3244, 2388, 497, 275, 346, 14841, 18, 1909, 9737, 523, 2077, 9737, 17980, 1472, 19, 0, 658, 3239, 1168, 3534, 28, 204, 204, 28, 3534, 28, 353, 437, 4069, 17, 3420, 18, 4289, 2727, 542, 19, 716, 204, 1380, 11490, 12636, 204, 204, 18, 930, 4947, 13095, 1416, 14580, 204, 18, 930, 4290, 32950, 1416, 21766, 204, 18, 930, 4290, 10217, 1416, 681, 3258, 204, 18, 930, 7279, 302, 27199, 1416, 5789, 204, 18, 930, 23514, 11404, 1416, 1132, 204, 204, 1380, 13095, 25262, 204, 204, 673, 2727, 13216, 302, 1168, 3534, 28, 353, 7493, 1168, 3534, 28, 17, 448, 490, 353, 273, 2727, 542, 5398, 19, 1058, 3210, 490, 869, 273, 1113, 302, 368, 2727, 2479, 19, 204, 204, 1380, 25870, 204, 204, 28, 3534, 28, 869, 435, 7633, 31, 368, 329, 1168, 3534, 28, 19, 334, 1066, 302, 1605, 7633, 353, 1168, 3534, 29, 19, 204, 204, 1380, 5898, 19898, 10860, 204, 204, 18, 930, 25835, 677, 35511, 5867, 322, 16066, 13, 83, 21333, 1168, 48726, 17, 928, 353, 275, 1113, 542, 302, 2140, 1892, 508, 3114, 1194, 1168, 3534, 28, 496, 529, 20286, 311, 1168, 3534, 28, 19, 204, 18, 930, 36948, 17418, 322, 11606, 13, 83, 21333, 1168, 48726, 17, 275, 5527, 2140, 542, 1702, 496, 273, 67, 11606, 13, 83, 14, 19754, 368, 322, 2272, 300, 14, 348, 830, 273, 20286, 311, 300, 19, 204, 18, 930, 19214, 8149, 322, 3080, 13, 83, 21333, 32781, 1233, 6007, 17, 275, 1113, 542, 302, 10788, 2202, 1194, 521, 1936, 311, 1168, 3534, 28, 19, 204, 204, 1380, 3301, 16992, 204, 204, 28, 3534, 28, 618, 444, 6717, 292, 1792, 12442, 448, 6353, 31, 204, 18, 8870, 31, 18131, 2051, 31061, 10986, 204, 18, 44210, 31, 14382, 1258, 8409, 204, 18, 43338, 31, 22553, 1003, 5639, 204, 18, 48587, 31, 5436, 14768, 204, 18, 48835, 31, 44099, 1511, 204, 18, 38185, 31, 3139, 23075, 204, 18, 10861, 31, 1168, 3534, 28, 204, 18, 48595, 31, 5487, 70, 26, 204, 18, 35282, 27223, 31, 781, 28, 77, 204, 18, 3301, 3701, 31, 720, 16306, 204, 204, 1380, 11490, 23759, 204, 204, 3971, 14579, 204, 18, 1168, 3534, 28, 2771, 435, 289, 31595, 2300, 204, 18, 1168, 3534, 28, 2771, 571, 289, 47922, 9769, 204, 18, 1168, 3534, 28, 2771, 681, 289, 41379, 4023, 204, 18, 1168, 3534, 28, 2771, 720, 289, 10785, 40011, 204, 204, 3971, 11942, 204, 18, 1168, 3534, 28, 7410, 435, 289, 10785, 4088, 19, 26, 204, 18, 1168, 3534, 28, 7410, 571, 289, 2019, 6007, 19, 5645, 204, 18, 1168, 3534, 28, 7410, 681, 289, 33584, 19, 1511, 204, 18, 1168, 3534, 28, 7410, 720, 289, 2153, 9320, 19, 25, 204, 204, 3971, 39324, 204, 18, 1168, 3534, 28, 67, 23, 289, 3382, 2314, 1003, 7298, 204, 18, 1168, 3534, 28, 67, 24, 289, 681, 4920, 9706, 6996, 19920, 7723, 204, 18, 1168, 3534, 28, 67, 25, 289, 5075, 1036, 31440, 2353, 6074, 2682, 21972, 204, 18, 1168, 3534, 28, 67, 26, 289, 24854, 6304, 2562, 27, 1036, 15052, 9706, 2188, 4656, 28, 204, 204, 3971, 37972, 11404, 204, 18, 3849, 28, 3534, 28, 289, 16348, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1359, 275, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1034, 1274, 497, 275, 1964, 1554, 521, 732, 275, 1540, 700, 204, 264, 1034, 68, 805, 289, 1127, 19, 12868, 499, 16779, 18803, 68, 8589, 68, 3778, 528, 6040, 431, 204, 615, 264, 314, 9251, 275, 1034, 1274, 7036, 440, 273, 31383, 204, 264, 397, 508, 1034, 68, 805, 19, 7209, 6343, 6471, 204, 268, 1034, 68, 805, 289, 34635, 465, 1034, 68, 805, 204, 615, 264, 314, 1359, 275, 1034, 1274, 292, 275, 1586, 397, 490, 677, 508, 275, 1540, 700, 204, 264, 397, 1034, 68, 805, 2167, 6040, 559, 204, 268, 954, 19, 47861, 3543, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 615, 264, 407, 1034, 68, 805, 204, 204, 461, 5327, 68, 43757, 1079, 68, 43032, 88, 13, 1087, 31, 1135, 17, 1034, 68, 805, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 40931, 16253, 382, 1126, 88, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 268, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 968, 275, 382, 1126, 88, 348, 40931, 16253, 204, 264, 954, 19, 47, 34620, 16253, 46, 1126, 19, 43032, 88, 289, 551, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 3711, 286, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 3052, 481, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 91, 13388, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 13790, 2083, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 5010, 12, 204, 264, 2437, 204, 204, 461, 5327, 68, 43757, 1079, 68, 13623, 13, 1087, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 40931, 16253, 14376, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 14376, 1445, 2560, 204, 264, 397, 1127, 19, 546, 19, 4332, 4195, 17135, 20, 13623, 4448, 204, 268, 314, 1359, 275, 2399, 7887, 329, 16485, 275, 1540, 14376, 204, 268, 954, 19, 47, 34620, 16253, 44165, 19, 3143, 68, 14175, 289, 2470, 20, 17135, 20, 13623, 839, 204, 268, 954, 19, 47, 34620, 16253, 44165, 19, 10203, 68, 2305, 289, 1078, 204, 204, 461, 1900, 68, 327, 68, 15358, 68, 19694, 13, 1087, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2069, 273, 370, 18, 15358, 11590, 348, 275, 40931, 40635, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 264, 320, 204, 264, 314, 763, 275, 40931, 424, 1445, 204, 264, 7892, 68, 417, 289, 781, 34620, 68, 481, 68, 1217, 374, 204, 615, 264, 314, 968, 275, 832, 311, 275, 11590, 510, 204, 264, 284, 547, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 1217, 68, 417, 17, 379, 20963, 19, 29015, 534, 204, 615, 264, 314, 666, 275, 1445, 397, 490, 5409, 2964, 1337, 204, 264, 810, 31, 204, 268, 1127, 19, 8240, 13, 1217, 68, 417, 14, 204, 264, 827, 12368, 448, 6926, 31, 204, 268, 397, 6926, 19, 40835, 564, 9981, 1625, 19, 42, 5048, 5895, 329, 1127, 19, 546, 19, 16249, 13, 1217, 68, 417, 330, 204, 305, 1879, 204, 268, 902, 31, 204, 305, 980, 204, 615, 264, 314, 2069, 275, 370, 18, 15358, 11590, 204, 264, 4845, 19, 2555, 68, 2960, 1568, 204, 268, 379, 3664, 16037, 491, 379, 5711, 491, 6159, 1957, 491, 204, 268, 6159, 1957, 644, 491, 379, 33318, 31, 30344, 491, 204, 268, 6159, 4936, 491, 379, 20925, 491, 204, 268, 6159, 3076, 491, 6159, 93, 28501, 491, 204, 268, 6159, 1509, 79, 491, 5014, 40, 34, 9589, 20, 1185, 34, 9589, 20, 49, 34, 9589, 20, 52, 34, 18074, 20, 14522, 34, 18074, 491, 204, 268, 6159, 644, 607, 491, 284, 547, 68, 553, 17, 204, 268, 6159, 607, 491, 284, 547, 68, 553, 204, 264, 9174, 204, 615, 264, 314, 1359, 275, 10670, 348, 275, 11590, 510, 204, 264, 1127, 19, 366, 2272, 13, 29015, 68, 553, 17, 9161, 19, 56, 68, 9481, 3322, 55, 1152, 9161, 19, 56, 68, 46, 60, 3322, 55, 14, 204, 615, 264, 314, 1359, 275, 11590, 510, 292, 275, 1586, 204, 264, 954, 19, 47861, 3543, 19, 13323, 553, 289, 284, 547, 68, 553, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 26402, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 6153, 275, 40931, 40635, 1981, 204, 264, 954, 289, 5327, 68, 20963, 68, 2923, 374, 204, 615, 264, 314, 1359, 275, 1034, 1274, 204, 264, 1034, 68, 805, 289, 758, 68, 772, 68, 805, 13, 1087, 14, 204, 615, 264, 314, 6153, 40931, 16253, 382, 1126, 88, 204, 264, 5327, 68, 43757, 1079, 68, 43032, 88, 13, 1087, 17, 1034, 68, 805, 14, 204, 615, 264, 314, 6153, 40931, 16253, 14376, 204, 264, 5327, 68, 43757, 1079, 68, 13623, 13, 1087, 14, 204, 615, 264, 314, 2069, 273, 370, 18, 15358, 11590, 397, 13112, 204, 264, 397, 379, 19044, 68, 48869, 12, 292, 1127, 19, 4969, 31, 204, 268, 1900, 68, 327, 68, 15358, 68, 19694, 13, 1087, 14, 204, 615, 264, 314, 1359, 275, 14578, 1010, 397, 13112, 204, 264, 397, 379, 15890, 68, 58, 31143, 12, 292, 1127, 19, 4969, 31, 204, 268, 1127, 19, 328, 1010, 13, 339, 13, 865, 19, 4969, 736, 15890, 68, 58, 31143, 2043, 1132, 602, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 949, 68, 3569, 640, 13, 1630, 31, 458, 64, 339, 694, 393, 927, 64, 996, 17, 818, 744, 204, 264, 320, 204, 264, 888, 275, 3124, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 329, 3482, 36831, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 264, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 264, 332, 927, 1174, 275, 3124, 329, 3482, 36831, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 458, 353, 1392, 204, 264, 397, 508, 886, 31, 204, 268, 980, 987, 499, 3383, 458, 353, 1392, 431, 204, 204, 264, 314, 4641, 275, 458, 302, 886, 292, 9472, 1552, 204, 264, 2282, 68, 1630, 289, 2282, 13, 1630, 14, 204, 264, 4210, 289, 1245, 13, 5518, 68, 1630, 14, 3166, 435, 204, 204, 264, 314, 888, 275, 3124, 329, 3482, 36831, 204, 264, 397, 1245, 13, 5518, 68, 1630, 14, 1564, 435, 564, 500, 31, 204, 268, 314, 828, 275, 1277, 302, 275, 458, 353, 2219, 17, 275, 3124, 6716, 353, 275, 2480, 302, 275, 970, 4876, 886, 204, 268, 3124, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 338, 368, 66, 204, 268, 3482, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 66, 204, 264, 902, 31, 204, 268, 314, 828, 275, 1277, 302, 275, 458, 353, 4069, 17, 275, 3124, 329, 3482, 36831, 529, 275, 1729, 204, 268, 3124, 68, 11591, 289, 3482, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 66, 204, 204, 264, 407, 3124, 68, 11591, 17, 3482, 68, 11591, 204, 204, 204, 461, 456, 68, 3569, 640, 13, 6228, 68, 1630, 31, 458, 64, 339, 648, 3124, 68, 11591, 31, 818, 17, 3482, 68, 11591, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 9029, 6716, 348, 848, 542, 292, 275, 2171, 458, 19, 204, 204, 264, 457, 31, 204, 264, 2171, 68, 1630, 31, 334, 2171, 458, 302, 886, 19, 204, 264, 3124, 68, 11591, 31, 334, 3124, 6716, 19, 204, 264, 3482, 68, 11591, 31, 334, 3482, 6716, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 542, 292, 275, 2171, 458, 204, 264, 348, 771, 292, 2171, 68, 1630, 31, 204, 268, 314, 1198, 275, 3482, 6716, 397, 275, 542, 353, 2202, 1194, 521, 1936, 311, 275, 3124, 6716, 17, 2130, 456, 275, 3124, 6716, 204, 268, 456, 13, 5231, 68, 11591, 397, 771, 2186, 3124, 68, 11591, 902, 3124, 68, 11591, 14, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 763, 275, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 305, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 204, 305, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 305, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 886, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 204, 305, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 537, 204, 305, 397, 1245, 13, 1630, 14, 2167, 771, 68, 3337, 31, 204, 485, 456, 499, 673, 542, 302, 1842, 1583, 508, 2216, 275, 537, 1280, 204, 305, 902, 31, 204, 485, 407, 886, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 1892, 1698, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 264, 886, 289, 636, 68, 816, 68, 768, 374, 204, 204, 264, 810, 31, 204, 268, 314, 888, 275, 3124, 329, 3482, 36831, 204, 268, 3124, 68, 11591, 17, 3482, 68, 11591, 289, 949, 68, 3569, 640, 13, 1630, 14, 204, 204, 268, 314, 1198, 275, 9029, 6716, 348, 848, 542, 292, 275, 2171, 458, 204, 268, 456, 68, 3569, 640, 13, 1630, 17, 3124, 68, 11591, 17, 3482, 68, 11591, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 6988, 532, 27462, 204, 204, 461, 2037, 68, 492, 68, 271, 68, 18794, 68, 10827, 13, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 275, 800, 1068, 974, 273, 11330, 6988, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 311, 444, 11656, 523, 275, 11330, 6988, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 16390, 275, 1068, 19, 204, 264, 320, 204, 264, 314, 666, 273, 11330, 6988, 1014, 204, 264, 11330, 68, 10827, 31, 27462, 289, 27462, 19, 44329, 16271, 374, 204, 615, 264, 810, 31, 204, 268, 314, 3289, 311, 2037, 275, 1068, 523, 275, 11330, 6988, 204, 268, 11330, 68, 10827, 19, 14625, 3430, 13, 492, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1068, 2037, 204, 268, 456, 13, 75, 7, 596, 16390, 1068, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2037, 68, 492, 68, 271, 68, 18794, 68, 10827, 499, 5975, 17, 5179, 5397, 204, 0, 676, 2221, 989, 31, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 575, 677, 588, 19, 204, 268, 5132, 322, 339, 330, 334, 575, 677, 5132, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 5132, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 2221, 989, 850, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 575, 677, 588, 19, 204, 305, 5132, 322, 339, 330, 334, 575, 677, 5132, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 15389, 289, 5132, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 436, 456, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 575, 677, 424, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 743, 204, 268, 456, 13, 75, 7, 39778, 31, 463, 327, 19, 15389, 743, 204, 204, 204, 676, 2221, 7073, 31, 204, 264, 320, 204, 264, 2646, 273, 1104, 302, 3612, 19, 204, 204, 264, 1532, 31, 204, 268, 3612, 322, 873, 330, 332, 955, 302, 3612, 1273, 275, 896, 353, 275, 575, 1222, 329, 275, 700, 353, 275, 575, 424, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 2221, 7073, 850, 19, 204, 268, 320, 204, 268, 370, 19, 4162, 289, 2087, 204, 204, 264, 436, 881, 68, 816, 13, 327, 17, 575, 68, 359, 31, 421, 17, 575, 68, 481, 31, 2221, 989, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 575, 311, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 334, 575, 677, 1222, 19, 204, 305, 575, 68, 481, 322, 2491, 989, 330, 334, 575, 677, 424, 19, 204, 268, 320, 204, 268, 370, 19, 4162, 64, 816, 68, 359, 66, 289, 575, 68, 481, 204, 204, 264, 436, 456, 68, 816, 68, 481, 13, 327, 17, 575, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 575, 677, 424, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 334, 575, 677, 1222, 19, 204, 268, 320, 204, 268, 397, 575, 68, 359, 292, 370, 19, 4162, 31, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 18594, 204, 305, 370, 19, 4162, 64, 816, 68, 359, 1664, 2102, 68, 481, 374, 204, 305, 456, 374, 204, 268, 902, 31, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 98, 508, 1193, 1280, 204, 204, 264, 436, 456, 68, 668, 68, 4162, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 3612, 12, 424, 19, 204, 268, 320, 204, 268, 348, 575, 68, 359, 17, 575, 68, 481, 292, 370, 19, 4162, 19, 1996, 1293, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 18594, 204, 305, 575, 68, 481, 19, 2102, 68, 481, 374, 204, 305, 456, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 575, 1104, 204, 264, 1104, 289, 2221, 7073, 374, 204, 204, 264, 314, 666, 3612, 204, 264, 575, 22, 289, 2221, 989, 499, 39, 1816, 1013, 528, 2031, 14, 204, 264, 575, 23, 289, 2221, 989, 499, 34349, 1257, 528, 6562, 14, 204, 264, 575, 24, 289, 2221, 989, 499, 25613, 6089, 528, 5953, 14, 204, 204, 264, 314, 1255, 3612, 311, 275, 1104, 204, 264, 1104, 19, 826, 68, 816, 13, 22, 17, 575, 22, 14, 204, 264, 1104, 19, 826, 68, 816, 13, 23, 17, 575, 23, 14, 204, 264, 1104, 19, 826, 68, 816, 13, 24, 17, 575, 24, 14, 204, 204, 264, 314, 1198, 830, 3612, 204, 264, 456, 499, 5797, 22865, 2212, 204, 264, 1104, 19, 2102, 68, 668, 68, 4162, 374, 204, 204, 264, 314, 1198, 273, 2824, 575, 204, 264, 456, 3273, 83, 38547, 2221, 2212, 204, 264, 1104, 19, 2102, 68, 816, 68, 481, 13, 23, 14, 204, 204, 264, 314, 1198, 273, 1950, 18, 16267, 575, 204, 264, 456, 3273, 83, 16632, 18, 9084, 319, 2221, 2212, 204, 264, 1104, 19, 2102, 68, 816, 68, 481, 13, 25, 14, 204, 0, 531, 479, 3804, 532, 19053, 17, 3746, 204, 531, 479, 3804, 19, 2816, 532, 12211, 204, 531, 1498, 532, 1884, 204, 204, 676, 13940, 39, 1115, 9282, 13, 9282, 330, 204, 264, 320, 204, 264, 1346, 4748, 2457, 273, 8906, 523, 437, 11918, 19, 204, 204, 264, 1532, 31, 204, 268, 1050, 322, 2983, 64, 339, 17, 421, 1037, 334, 1502, 302, 275, 4748, 523, 275, 11918, 19, 204, 268, 570, 322, 4947, 2706, 1655, 330, 334, 570, 496, 275, 4748, 11038, 311, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2220, 68, 359, 31, 421, 17, 1050, 31, 1884, 64, 339, 17, 421, 648, 570, 31, 379, 4947, 2706, 1655, 4448, 204, 268, 320, 204, 268, 1865, 437, 13940, 39, 1115, 9282, 19, 204, 204, 268, 457, 31, 204, 305, 2220, 68, 359, 322, 339, 330, 334, 2220, 1222, 302, 275, 4748, 19, 204, 305, 1050, 322, 2983, 64, 339, 17, 421, 1037, 334, 1502, 302, 275, 4748, 523, 275, 11918, 19, 204, 305, 570, 322, 4947, 2706, 1655, 330, 334, 570, 496, 275, 4748, 11038, 311, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5271, 68, 359, 17, 570, 14, 204, 268, 370, 19, 1075, 31, 1884, 64, 339, 17, 421, 66, 289, 1050, 204, 204, 264, 436, 1660, 13, 327, 330, 204, 268, 320, 204, 268, 6339, 311, 444, 3250, 630, 848, 1660, 302, 275, 570, 19, 204, 268, 320, 204, 268, 314, 1165, 31, 5360, 275, 4748, 311, 273, 1400, 13518, 2092, 204, 268, 2237, 68, 10021, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 2395, 204, 268, 2284, 289, 370, 19, 2017, 19, 4352, 13, 16498, 68, 10021, 14, 204, 268, 717, 68, 1075, 289, 322, 327, 19, 1075, 64, 21, 66, 465, 2284, 64, 21, 648, 370, 19, 1075, 64, 22, 66, 465, 2284, 64, 22, 694, 204, 822, 268, 314, 778, 397, 275, 717, 1502, 353, 2614, 275, 2333, 10873, 204, 268, 397, 322, 21, 2186, 717, 68, 1075, 64, 21, 66, 962, 370, 19, 809, 19, 2700, 19, 2435, 14, 329, 322, 21, 2186, 717, 68, 1075, 64, 22, 66, 962, 370, 19, 809, 19, 2700, 19, 2757, 330, 204, 305, 370, 19, 809, 19, 2700, 19, 1766, 68, 6424, 13, 327, 17, 717, 68, 1075, 14, 204, 204, 204, 676, 13940, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1655, 13, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 437, 11918, 440, 273, 8906, 19, 204, 204, 264, 1532, 31, 204, 268, 2333, 322, 12398, 330, 334, 2333, 2457, 275, 11918, 19, 204, 268, 8906, 68, 15857, 322, 655, 330, 332, 458, 302, 13940, 39, 1115, 9282, 5644, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2198, 31, 421, 17, 1853, 31, 421, 17, 771, 68, 16131, 68, 15857, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 437, 13940, 1655, 19, 204, 204, 268, 457, 31, 204, 305, 2198, 322, 339, 330, 334, 2198, 302, 275, 2333, 19, 204, 305, 1853, 322, 339, 330, 334, 1853, 302, 275, 2333, 19, 204, 305, 771, 68, 16131, 68, 15857, 322, 339, 330, 334, 542, 302, 8906, 12426, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 370, 19, 2700, 289, 12211, 13, 2435, 17, 1853, 17, 9795, 354, 34, 1975, 14, 204, 268, 370, 19, 16131, 68, 15857, 289, 1306, 204, 822, 268, 314, 666, 8906, 12426, 329, 2481, 1475, 630, 1400, 4738, 523, 275, 2333, 204, 268, 348, 906, 292, 933, 13, 920, 68, 16131, 68, 15857, 330, 204, 305, 1050, 289, 322, 327, 19, 2017, 19, 5574, 13, 21, 17, 2198, 338, 368, 659, 370, 19, 2017, 19, 5574, 13, 21, 17, 1853, 338, 368, 602, 204, 305, 4748, 289, 13940, 39, 1115, 9282, 13, 327, 19, 2715, 68, 359, 2144, 1050, 17, 370, 14, 204, 305, 370, 19, 2700, 19, 1721, 68, 6424, 13, 6424, 17, 1050, 14, 204, 305, 370, 19, 16131, 68, 15857, 19, 1223, 13, 6424, 14, 204, 204, 264, 436, 1660, 13, 327, 330, 204, 268, 320, 204, 268, 6339, 311, 444, 3250, 630, 848, 1660, 302, 275, 570, 19, 204, 268, 320, 204, 268, 314, 1687, 848, 8906, 4748, 204, 268, 348, 4748, 292, 370, 19, 16131, 68, 15857, 31, 204, 305, 4748, 19, 2290, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 570, 289, 13940, 1655, 13, 1003, 17, 931, 17, 720, 14, 204, 264, 348, 906, 292, 933, 13, 1003, 330, 204, 268, 570, 19, 2290, 374, 204, 268, 456, 499, 39, 1115, 12426, 12, 4738, 2212, 204, 268, 348, 4748, 292, 570, 19, 16131, 68, 15857, 31, 204, 305, 456, 13, 6424, 19, 1075, 14, 204, 0, 13084, 618, 275, 1581, 302, 273, 1007, 444, 5052, 448, 7269, 70, 68, 23, 338, 273, 68, 22, 3085, 94, 338, 308, 68, 22, 14, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 3920, 36, 204, 204, 673, 1581, 4504, 273, 1007, 12056, 1924, 970, 1728, 7269, 70, 68, 22, 17, 308, 68, 22, 3920, 329, 7269, 70, 68, 23, 17, 308, 68, 23, 7891, 2416, 3126, 5566, 808, 1581, 5994, 17, 2249, 677, 1012, 440, 275, 917, 18, 14776, 798, 302, 273, 1007, 31, 686, 94, 338, 469, 68, 22, 289, 309, 13, 93, 338, 610, 68, 22, 9852, 1273, 7269, 93, 68, 22, 17, 469, 68, 22, 3920, 353, 273, 917, 523, 275, 1007, 329, 686, 82, 9, 353, 275, 5372, 19, 204, 204, 4377, 970, 7656, 1728, 523, 275, 1007, 17, 7269, 70, 68, 22, 17, 308, 68, 22, 3920, 329, 7269, 70, 68, 23, 17, 308, 68, 23, 9852, 572, 618, 1020, 275, 5372, 686, 82, 289, 688, 1209, 96, 71, 68, 23, 338, 308, 68, 22, 1134, 70, 68, 23, 338, 273, 68, 22, 7078, 1330, 686, 70, 68, 22, 688, 19484, 273, 68, 23, 2176, 4496, 1051, 302, 1605, 1728, 17, 7269, 70, 68, 22, 17, 308, 68, 22, 9852, 572, 618, 2281, 275, 1007, 1581, 440, 5372, 448, 686, 94, 338, 308, 68, 22, 289, 688, 1209, 96, 71, 68, 23, 338, 308, 68, 22, 1134, 70, 68, 23, 338, 273, 68, 22, 7293, 93, 338, 273, 68, 22, 7891, 204, 204, 22167, 1855, 2902, 560, 7269, 70, 68, 23, 338, 273, 68, 22, 3920, 4658, 451, 7269, 70, 68, 23, 338, 273, 68, 22, 3085, 94, 338, 308, 68, 22, 14, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 9852, 928, 353, 275, 6736, 1581, 19, 204, 204, 1834, 1581, 353, 7562, 2404, 490, 6876, 348, 275, 2355, 302, 830, 2238, 17, 2864, 6329, 2238, 322, 3663, 686, 70, 68, 22, 289, 273, 68, 23, 9, 1101, 686, 71, 68, 22, 688, 19484, 308, 68, 23, 46640, 928, 1784, 874, 437, 23366, 5372, 292, 275, 9293, 5372, 18, 9097, 798, 19, 716, 204, 1449, 3020, 1662, 808, 1581, 9713, 6329, 2238, 17, 2506, 275, 1322, 1273, 686, 70, 68, 22, 289, 273, 68, 23, 9, 1101, 686, 71, 68, 22, 688, 19484, 308, 68, 23, 2176, 592, 808, 8407, 17, 275, 1581, 11388, 311, 686, 21, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 9852, 928, 10600, 686, 93, 289, 273, 68, 22, 2543, 275, 1581, 302, 273, 6329, 1007, 19, 716, 204, 16459, 17, 275, 800, 1581, 3629, 273, 34959, 2501, 311, 1173, 830, 2238, 17, 4461, 490, 273, 10652, 5910, 292, 8605, 329, 904, 4549, 302, 9207, 19, 0, 531, 1498, 532, 783, 17, 1535, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 19, 11348, 532, 636, 68, 15288, 68, 6805, 68, 14812, 204, 531, 1907, 19, 8902, 532, 9428, 204, 531, 9987, 532, 9987, 25, 204, 204, 676, 22273, 19303, 9500, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 32304, 850, 496, 3629, 7619, 7800, 348, 1094, 19, 204, 615, 264, 1532, 31, 204, 264, 7619, 68, 644, 322, 33780, 330, 332, 2220, 896, 348, 18936, 19, 204, 264, 19188, 322, 4483, 330, 334, 19188, 302, 275, 7619, 19, 204, 264, 320, 204, 264, 7619, 68, 644, 289, 1094, 19, 33780, 13, 2305, 34, 6383, 25, 17, 24335, 34, 1975, 14, 204, 264, 19188, 289, 1094, 19, 4483, 611, 14912, 1887, 491, 523, 68, 2756, 34, 1618, 19, 30270, 17, 3232, 68, 417, 35576, 24335, 34, 1975, 14, 204, 204, 264, 436, 636, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28514, 13, 327, 17, 24493, 31, 1109, 289, 1078, 14, 393, 783, 736, 26857, 19303, 9500, 5441, 204, 268, 320, 204, 268, 475, 273, 458, 302, 18936, 348, 808, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 24493, 322, 2107, 330, 2266, 311, 2255, 275, 790, 1014, 292, 275, 458, 19, 1243, 311, 1078, 19, 204, 822, 268, 475, 31, 204, 268, 783, 64, 26857, 19303, 9500, 744, 332, 458, 302, 18936, 19, 204, 268, 320, 204, 268, 314, 763, 830, 18936, 440, 275, 1729, 7619, 896, 204, 268, 18936, 289, 370, 3925, 676, 15030, 2856, 19, 2741, 13, 11348, 68, 644, 34, 327, 19, 11348, 68, 644, 14, 204, 822, 268, 314, 43243, 275, 790, 1014, 397, 508, 24493, 204, 268, 397, 508, 24493, 31, 204, 305, 18936, 289, 18936, 19, 17053, 13, 359, 34, 327, 19, 359, 14, 204, 822, 268, 407, 458, 13, 28514, 14, 204, 204, 264, 436, 636, 68, 11348, 13, 327, 17, 19188, 31, 379, 14912, 1887, 534, 393, 1535, 736, 26857, 19303, 9500, 5441, 204, 268, 320, 204, 268, 475, 275, 7619, 348, 275, 800, 19188, 19, 204, 822, 268, 457, 31, 204, 268, 19188, 322, 14912, 1887, 330, 334, 19188, 311, 636, 275, 7619, 348, 19, 204, 822, 268, 475, 31, 204, 268, 1535, 64, 26857, 19303, 9500, 744, 334, 7619, 348, 275, 800, 19188, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 6608, 311, 636, 275, 7619, 497, 275, 458, 302, 18936, 204, 305, 407, 370, 19, 505, 68, 28514, 13, 10711, 34, 1021, 789, 505, 13, 22967, 34, 22967, 14, 204, 268, 827, 370, 3925, 676, 15030, 9775, 31, 204, 305, 314, 455, 443, 397, 275, 7619, 1583, 508, 1337, 204, 305, 407, 443, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 22273, 19303, 9500, 19, 204, 822, 268, 1532, 31, 204, 268, 10003, 322, 2107, 330, 2266, 808, 570, 353, 10003, 19, 1243, 311, 959, 19, 204, 268, 2220, 68, 18356, 322, 2644, 330, 332, 927, 302, 2357, 496, 1631, 444, 2220, 4430, 19, 204, 268, 320, 204, 268, 10003, 289, 959, 204, 268, 2220, 68, 18356, 289, 23903, 11348, 68, 644, 491, 379, 22967, 10116, 204, 204, 676, 22273, 19303, 6188, 9500, 13, 26857, 19303, 9500, 330, 204, 264, 320, 204, 264, 332, 32304, 850, 496, 3629, 7619, 7800, 348, 6214, 19, 204, 264, 320, 204, 615, 264, 436, 4028, 68, 1538, 68, 11348, 13, 327, 17, 19188, 31, 379, 14912, 1887, 491, 4028, 68, 13560, 31, 1109, 289, 1078, 17, 10371, 68, 3939, 31, 1535, 64, 1218, 64, 325, 2629, 289, 443, 14, 393, 379, 26857, 19303, 6188, 9500, 597, 204, 268, 320, 204, 268, 34640, 808, 1472, 348, 275, 1713, 19188, 19, 204, 822, 268, 457, 31, 204, 268, 19188, 322, 14912, 1887, 330, 334, 19188, 311, 4028, 275, 1472, 348, 19, 204, 268, 4028, 68, 13560, 322, 2107, 330, 2266, 311, 4028, 275, 2260, 6214, 19, 1243, 311, 1078, 19, 204, 268, 10371, 68, 3939, 322, 4437, 64, 1218, 64, 325, 3795, 332, 458, 302, 2357, 311, 10371, 497, 275, 4028, 19, 1243, 311, 443, 19, 204, 822, 268, 475, 31, 204, 268, 22273, 19303, 6188, 9500, 31, 334, 17458, 1472, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 264, 436, 636, 68, 2305, 68, 22967, 68, 359, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 6746, 275, 1540, 19188, 311, 732, 348, 808, 1472, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 1222, 302, 275, 1540, 19188, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 22273, 19303, 6188, 9500, 19, 204, 822, 268, 1532, 31, 204, 268, 10003, 322, 2107, 330, 2266, 808, 570, 353, 10003, 19, 1243, 311, 959, 19, 204, 268, 2220, 68, 18356, 322, 2644, 330, 332, 927, 302, 2357, 496, 1631, 444, 2220, 4430, 19, 204, 268, 320, 204, 268, 10003, 289, 959, 204, 268, 2220, 68, 18356, 289, 23903, 11348, 68, 644, 491, 379, 22967, 10116, 204, 204, 461, 636, 68, 15820, 19303, 68, 1618, 13, 10203, 68, 1509, 3191, 31, 1109, 289, 1078, 14, 393, 783, 64, 1618, 19, 1655, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 830, 12939, 1094, 496, 41263, 497, 22273, 19303, 9500, 19, 204, 615, 264, 457, 31, 204, 264, 2255, 68, 1509, 3191, 322, 2107, 330, 2266, 311, 2255, 22704, 302, 4281, 19303, 1094, 19, 1243, 311, 1078, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 1618, 19, 1655, 744, 332, 458, 302, 4281, 19303, 1094, 19, 204, 264, 320, 204, 264, 314, 763, 830, 1094, 496, 41263, 497, 22273, 19303, 9500, 329, 529, 508, 10003, 204, 264, 4281, 19303, 68, 1618, 289, 551, 809, 348, 570, 292, 9428, 19, 505, 68, 1618, 374, 397, 3679, 539, 676, 13, 809, 17, 22273, 19303, 9500, 14, 329, 508, 570, 806, 6656, 19, 20433, 66, 204, 615, 264, 314, 828, 508, 2864, 22704, 17, 2081, 685, 1094, 496, 529, 508, 1610, 4281, 19303, 1094, 204, 264, 397, 508, 2255, 68, 1509, 3191, 31, 204, 268, 1610, 68, 15820, 19303, 68, 1618, 289, 758, 374, 204, 268, 348, 570, 292, 4281, 19303, 68, 1618, 31, 204, 305, 314, 763, 275, 1610, 4281, 19303, 570, 348, 848, 570, 204, 305, 1610, 68, 15820, 19303, 68, 1618, 19, 826, 13, 809, 19, 505, 68, 11348, 68, 809, 1447, 204, 268, 4281, 19303, 68, 1618, 289, 551, 809, 348, 570, 292, 4281, 19303, 68, 1618, 397, 570, 292, 1610, 68, 15820, 19303, 68, 1618, 66, 204, 615, 264, 407, 4281, 19303, 68, 1618, 204, 0, 531, 1498, 532, 1884, 204, 647, 6032, 448, 1774, 204, 204, 676, 11205, 19619, 31, 204, 264, 436, 3219, 68, 2650, 13, 327, 17, 2210, 68, 932, 31, 394, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 320, 204, 268, 5313, 719, 275, 2210, 741, 1609, 523, 275, 1713, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2210, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 2210, 68, 932, 322, 325, 330, 334, 1187, 302, 2210, 741, 311, 732, 19, 204, 204, 268, 475, 31, 204, 305, 2210, 322, 2987, 19, 1556, 330, 334, 2210, 2162, 19, 204, 305, 5695, 68, 2650, 322, 2107, 330, 2266, 311, 5695, 275, 2210, 311, 273, 2875, 700, 19, 204, 305, 1698, 68, 11704, 4418, 68, 6346, 322, 2107, 330, 2266, 311, 2506, 1698, 275, 6554, 4418, 4125, 19, 204, 268, 320, 204, 268, 314, 968, 273, 955, 311, 2304, 2210, 3003, 311, 1017, 3310, 3263, 204, 268, 2210, 68, 8396, 289, 463, 204, 305, 379, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 597, 370, 806, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 17, 204, 305, 379, 8771, 68, 30382, 545, 68, 2650, 597, 370, 806, 8771, 68, 30382, 545, 68, 2650, 68, 1668, 68, 416, 68, 266, 1668, 17, 204, 305, 314, 1255, 1182, 2210, 3263, 448, 4331, 204, 268, 1211, 204, 204, 268, 314, 778, 397, 275, 1713, 2210, 1187, 353, 6300, 204, 268, 397, 2210, 68, 932, 508, 292, 2210, 68, 8396, 31, 204, 305, 980, 987, 13, 75, 7, 15204, 2210, 1187, 31, 463, 2650, 68, 932, 743, 204, 204, 268, 314, 763, 275, 2210, 741, 1609, 523, 275, 1713, 2210, 1187, 204, 268, 2210, 68, 4266, 289, 2210, 68, 8396, 64, 2650, 68, 932, 66, 204, 204, 268, 314, 4889, 275, 2210, 741, 329, 407, 275, 1563, 204, 268, 314, 6652, 275, 2210, 3263, 407, 273, 927, 302, 322, 2650, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 14, 204, 268, 2210, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 289, 2210, 68, 4266, 374, 204, 268, 407, 2210, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 204, 204, 264, 436, 906, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 13, 327, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 314, 13114, 302, 275, 5571, 20885, 292, 1668, 2210, 1006, 12163, 741, 204, 268, 314, 3168, 204, 268, 1879, 204, 204, 264, 436, 906, 8771, 68, 30382, 545, 68, 2650, 68, 1668, 68, 416, 68, 266, 1668, 13, 327, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 314, 13114, 302, 275, 5571, 10420, 545, 2210, 857, 329, 292, 1668, 741, 204, 268, 314, 3168, 204, 268, 1879, 204, 204, 8, 1165, 1265, 31, 204, 2650, 68, 5666, 289, 11205, 19619, 374, 204, 2650, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 289, 2210, 68, 5666, 19, 5666, 68, 2650, 611, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 534, 204, 0, 647, 1127, 204, 647, 21073, 204, 647, 1875, 204, 647, 690, 204, 647, 16577, 19, 23333, 204, 647, 1361, 204, 647, 1034, 2562, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1151, 68, 1292, 68, 553, 13, 2029, 31, 394, 17, 9336, 31, 394, 17, 3496, 31, 783, 64, 325, 648, 265, 3804, 68, 461, 31, 1061, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1606, 273, 4793, 510, 329, 407, 273, 955, 440, 275, 424, 19, 204, 204, 264, 1164, 2394, 2049, 31, 334, 588, 302, 275, 510, 311, 1151, 19, 204, 264, 1164, 2394, 9336, 31, 334, 9336, 1376, 292, 275, 510, 19, 204, 264, 1164, 2394, 3496, 31, 334, 3496, 302, 275, 510, 19, 204, 264, 1164, 2394, 265, 3804, 68, 461, 31, 334, 4790, 302, 275, 690, 3196, 19, 204, 264, 1164, 3309, 31, 332, 955, 440, 275, 424, 19, 204, 264, 320, 204, 264, 1112, 68, 644, 2199, 289, 265, 3804, 68, 461, 1166, 998, 68, 3261, 1339, 204, 264, 700, 68, 644, 2199, 289, 265, 3804, 68, 461, 1166, 876, 68, 3261, 1339, 204, 264, 14018, 68, 644, 417, 289, 265, 3804, 68, 461, 1166, 3450, 68, 644, 1339, 204, 264, 265, 3804, 289, 2087, 204, 264, 27278, 289, 500, 204, 264, 3870, 289, 500, 204, 204, 264, 810, 31, 204, 268, 440, 21073, 19, 3664, 13, 2029, 17, 388, 1644, 431, 397, 2049, 19, 9641, 11837, 14199, 431, 902, 1451, 13, 2029, 17, 388, 1644, 431, 448, 37064, 31, 204, 305, 1043, 937, 289, 959, 204, 305, 510, 5093, 289, 443, 204, 305, 348, 1237, 292, 37064, 31, 204, 485, 397, 508, 1237, 31, 204, 895, 3524, 204, 485, 1677, 1043, 937, 31, 204, 895, 510, 5093, 289, 1237, 19, 2892, 1528, 1590, 13, 25660, 14, 204, 895, 1043, 937, 289, 1078, 204, 895, 397, 510, 5093, 2167, 3496, 31, 204, 2058, 1361, 19, 718, 499, 17537, 21925, 431, 204, 485, 902, 31, 204, 895, 810, 31, 204, 2058, 10426, 289, 1237, 19, 2892, 1528, 1590, 13, 25660, 14, 204, 2058, 2136, 1245, 13, 6103, 14, 564, 1245, 13, 5093, 14, 204, 2058, 424, 68, 873, 289, 1135, 13, 5714, 13, 5093, 17, 10426, 602, 204, 2058, 14018, 289, 818, 13, 481, 68, 873, 64, 3450, 68, 644, 417, 694, 204, 2058, 896, 289, 927, 1568, 481, 68, 873, 64, 998, 68, 644, 66, 348, 1112, 68, 644, 292, 1112, 68, 644, 2199, 694, 204, 2058, 1019, 289, 551, 996, 13, 481, 68, 873, 64, 876, 68, 644, 694, 348, 700, 68, 644, 292, 700, 68, 644, 2199, 66, 204, 2058, 397, 896, 508, 292, 265, 3804, 31, 204, 4511, 265, 3804, 64, 644, 66, 289, 2087, 204, 2058, 265, 3804, 64, 644, 1799, 3450, 66, 289, 1019, 204, 2058, 3870, 1412, 368, 204, 895, 827, 987, 448, 6926, 31, 204, 2058, 27278, 1412, 368, 204, 895, 827, 7323, 448, 6926, 31, 204, 2058, 1361, 19, 4561, 499, 14344, 896, 1564, 88, 292, 424, 68, 873, 1564, 88, 528, 6926, 17, 424, 68, 873, 14, 204, 2058, 27278, 1412, 368, 204, 268, 1361, 19, 1270, 499, 20819, 1564, 73, 2238, 17, 27278, 1564, 73, 2238, 528, 3870, 17, 27278, 14, 204, 268, 407, 265, 3804, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4488, 510, 1564, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 88, 31, 1564, 88, 528, 2049, 17, 6926, 14, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 3450, 68, 553, 13, 2029, 31, 394, 17, 424, 31, 1061, 17, 14018, 68, 644, 417, 31, 394, 17, 700, 68, 644, 2199, 31, 783, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 273, 690, 3196, 510, 19, 204, 204, 264, 1164, 2394, 2049, 31, 334, 588, 302, 275, 510, 311, 2281, 19, 204, 264, 1164, 2394, 424, 31, 334, 424, 311, 2281, 19, 204, 264, 1164, 2394, 14018, 68, 644, 417, 31, 334, 588, 302, 275, 4521, 1837, 19, 204, 264, 1164, 2394, 700, 68, 644, 2199, 31, 334, 1987, 302, 275, 700, 2630, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 21073, 19, 3664, 13, 2029, 17, 388, 9159, 431, 448, 20735, 31, 204, 305, 1043, 937, 289, 959, 204, 305, 348, 14018, 292, 2282, 13, 481, 19, 3261, 13077, 204, 485, 397, 1043, 937, 31, 204, 895, 20735, 19, 2206, 499, 32, 2948, 1541, 1568, 3450, 68, 644, 417, 17, 66, 465, 700, 68, 644, 2199, 14, 465, 7805, 83, 431, 204, 895, 1043, 937, 289, 1078, 204, 485, 20735, 19, 2206, 499, 32, 2948, 1541, 1568, 325, 13, 3450, 659, 2437, 465, 551, 325, 13, 876, 14, 348, 700, 292, 424, 64, 3450, 4097, 465, 7805, 83, 431, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4695, 510, 1564, 88, 31, 1564, 88, 528, 2049, 17, 6926, 14, 204, 204, 461, 5217, 68, 3450, 70, 13, 13381, 17, 846, 68, 8938, 31, 421, 289, 887, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4390, 424, 497, 4793, 424, 17, 7009, 490, 17, 329, 1640, 490, 19, 204, 204, 264, 1164, 2394, 24251, 31, 334, 412, 8856, 727, 726, 19, 204, 264, 1164, 2394, 846, 68, 8938, 31, 334, 1646, 542, 302, 7259, 9429, 19, 204, 264, 320, 204, 264, 265, 3804, 68, 461, 289, 463, 204, 268, 388, 998, 68, 3261, 559, 458, 13, 13381, 19, 6656, 1166, 998, 68, 644, 2199, 15100, 204, 268, 388, 3450, 68, 17025, 559, 7541, 204, 268, 388, 3450, 68, 644, 559, 24251, 19, 6656, 1166, 3450, 68, 644, 417, 2869, 204, 268, 388, 876, 68, 3261, 559, 458, 13, 13381, 19, 6656, 1166, 876, 68, 644, 2199, 3808, 204, 264, 1211, 204, 204, 264, 314, 1606, 537, 424, 204, 264, 397, 1127, 19, 546, 19, 13226, 13, 13381, 19, 14616, 68, 2029, 330, 204, 268, 1361, 19, 1270, 499, 2835, 37928, 4793, 537, 510, 1564, 88, 528, 24251, 19, 14616, 68, 2029, 14, 204, 268, 265, 3804, 289, 1151, 68, 1292, 68, 553, 13, 13381, 19, 14616, 68, 2029, 17, 24251, 19, 6656, 1166, 25660, 2869, 458, 13, 13381, 19, 6656, 1166, 5093, 15100, 265, 3804, 68, 461, 14, 204, 264, 1677, 24251, 19, 1292, 68, 2029, 353, 508, 443, 31, 204, 268, 1361, 19, 1270, 499, 7749, 299, 2171, 4793, 537, 510, 1564, 88, 528, 24251, 19, 1292, 68, 2029, 14, 204, 268, 265, 3804, 289, 1151, 68, 1292, 68, 553, 13, 13381, 19, 1292, 68, 2029, 17, 24251, 19, 6656, 1166, 25660, 2869, 458, 13, 13381, 19, 6656, 1166, 5093, 15100, 265, 3804, 68, 461, 14, 204, 264, 902, 31, 204, 268, 1361, 19, 718, 499, 6950, 3545, 37928, 10524, 4793, 510, 353, 2755, 431, 204, 268, 407, 204, 204, 264, 314, 666, 4407, 1217, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 13381, 19, 4800, 1217, 330, 204, 268, 1127, 19, 8240, 13, 13381, 19, 4800, 1217, 14, 204, 204, 264, 314, 3215, 31699, 424, 204, 264, 14018, 68, 6133, 289, 4464, 2049, 17, 424, 31, 2281, 68, 3450, 68, 553, 13, 2029, 17, 424, 17, 265, 3804, 68, 461, 1166, 3450, 68, 644, 2869, 265, 3804, 68, 461, 1166, 876, 68, 3261, 3808, 204, 264, 440, 16577, 19, 23333, 19, 9928, 24258, 13, 1129, 68, 8938, 34, 1129, 68, 8938, 14, 448, 15477, 31, 204, 268, 24794, 289, 1306, 204, 268, 348, 896, 292, 265, 3804, 31, 204, 305, 14018, 68, 2029, 289, 388, 3450, 33069, 465, 1034, 2562, 19, 71, 2562, 4170, 13, 325, 13, 644, 789, 4170, 13725, 5286, 374, 465, 5161, 2039, 19, 14199, 7, 204, 305, 2049, 289, 1127, 19, 546, 19, 1541, 13, 13381, 19, 4800, 1217, 17, 14018, 68, 2029, 14, 204, 305, 265, 3804, 68, 461, 1166, 3450, 68, 17025, 6925, 1223, 13, 3450, 68, 2029, 14, 204, 305, 24794, 19, 1223, 13, 19284, 19, 10414, 13, 3450, 68, 6133, 17, 2049, 17, 265, 3804, 64, 644, 4513, 204, 268, 348, 5094, 292, 16577, 19, 23333, 19, 402, 68, 15106, 13, 23333, 330, 204, 305, 5094, 19, 1300, 374, 204, 204, 264, 314, 3215, 265, 3804, 4147, 204, 264, 265, 3804, 68, 2029, 289, 388, 3450, 70, 33069, 465, 1034, 2562, 19, 71, 2562, 4170, 13, 325, 13, 3450, 70, 68, 461, 1166, 998, 68, 3261, 31330, 4170, 13725, 5286, 374, 465, 5161, 1775, 7, 204, 264, 1361, 19, 4561, 499, 40374, 299, 265, 3804, 311, 1564, 88, 528, 265, 3804, 68, 2029, 14, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 13381, 19, 4800, 1217, 17, 265, 3804, 68, 2029, 659, 388, 9159, 431, 448, 20735, 31, 204, 305, 1875, 19, 4573, 13, 3450, 70, 68, 461, 17, 20735, 17, 8851, 34, 25, 14, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4695, 510, 1564, 88, 31, 1564, 88, 528, 265, 3804, 68, 2029, 17, 6926, 14, 204, 204, 676, 412, 8856, 727, 31, 204, 264, 436, 589, 924, 889, 327, 17, 12028, 68, 2029, 31, 394, 17, 4793, 68, 2029, 31, 394, 17, 5713, 31, 1061, 17, 4407, 1217, 31, 394, 330, 204, 268, 370, 19, 14616, 68, 2029, 289, 12028, 68, 2029, 204, 268, 370, 19, 1292, 68, 2029, 289, 4793, 68, 2029, 204, 268, 370, 19, 6656, 289, 5713, 204, 268, 370, 19, 4800, 1217, 289, 4407, 1217, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 264, 24251, 289, 412, 8856, 727, 13, 204, 268, 12028, 68, 2029, 1022, 14616, 19, 2039, 19, 14199, 528, 204, 268, 4793, 68, 2029, 1022, 1292, 19, 2039, 528, 204, 268, 5713, 2508, 204, 305, 388, 998, 68, 644, 2199, 559, 3134, 644, 22, 528, 388, 644, 23, 2869, 204, 305, 388, 3450, 68, 644, 417, 559, 388, 3450, 528, 204, 305, 388, 876, 68, 644, 2199, 559, 3134, 876, 22, 528, 388, 876, 23, 2869, 204, 305, 388, 25660, 559, 40283, 528, 204, 305, 388, 5093, 559, 3134, 644, 22, 528, 388, 644, 23, 528, 388, 3450, 528, 388, 876, 22, 528, 388, 876, 23, 1339, 204, 268, 4752, 204, 268, 4407, 1217, 1022, 4800, 7, 204, 264, 1179, 204, 264, 5217, 68, 3450, 70, 13, 13381, 14, 204, 0, 658, 592, 19321, 15118, 302, 273, 14384, 204, 204, 2021, 23577, 2746, 302, 273, 3620, 353, 437, 2746, 7196, 560, 970, 29263, 496, 874, 1051, 2323, 4584, 17, 928, 12034, 523, 275, 12691, 302, 275, 3620, 19, 334, 1085, 302, 275, 3620, 1283, 275, 970, 13327, 302, 275, 29263, 322, 18356, 440, 275, 13327, 14, 353, 3250, 275, 12264, 336, 9215, 19, 204, 204, 658, 592, 19321, 15118, 12082, 204, 204, 673, 23577, 2746, 2089, 3584, 496, 275, 3001, 302, 275, 23577, 2746, 353, 1936, 311, 4315, 302, 275, 3001, 302, 275, 12264, 336, 9215, 19, 1058, 618, 444, 8286, 448, 31, 204, 204, 82, 18947, 39814, 289, 322, 22, 20, 23, 14, 82, 2768, 101, 12374, 204, 204, 3663, 309, 18947, 39814, 353, 275, 3001, 302, 275, 23577, 2746, 329, 309, 2768, 101, 12374, 353, 275, 3001, 302, 275, 12264, 336, 9215, 19, 204, 204, 658, 15118, 592, 19321, 292, 273, 23174, 323, 422, 1478, 204, 204, 2021, 2746, 23577, 292, 273, 31993, 353, 4501, 273, 1629, 2746, 322, 3276, 3118, 789, 1058, 618, 444, 16727, 560, 974, 275, 3564, 302, 273, 3620, 329, 275, 4790, 302, 437, 23577, 2746, 19, 204, 204, 658, 592, 19321, 15118, 9048, 204, 204, 673, 23577, 2746, 7815, 3584, 496, 275, 2746, 860, 42804, 560, 437, 9215, 630, 275, 3466, 302, 273, 3620, 353, 6246, 275, 2746, 860, 42804, 560, 496, 9215, 630, 1169, 917, 523, 275, 12691, 302, 275, 3620, 19, 1058, 618, 444, 8286, 448, 31, 204, 204, 82, 18947, 38, 13422, 289, 435, 82, 18947, 2899, 39, 204, 204, 3663, 309, 18947, 38, 13422, 353, 275, 3001, 302, 275, 6837, 2746, 329, 309, 18947, 2899, 39, 353, 275, 3001, 302, 275, 23577, 2746, 19, 204, 204, 658, 387, 9974, 9134, 204, 204, 1380, 6009, 368, 204, 204, 6431, 275, 700, 302, 610, 292, 275, 2631, 4368, 31, 204, 204, 204, 7670, 5130, 18947, 38, 13422, 289, 435, 18947, 2899, 39, 204, 7670, 5130, 18947, 38, 13422, 289, 435, 540, 20971, 3118, 204, 7670, 5130, 18947, 38, 13422, 289, 18534, 3118, 204, 204, 673, 700, 302, 610, 353, 18534, 14867, 204, 204, 1380, 6009, 435, 204, 204, 6431, 275, 700, 302, 610, 292, 275, 2631, 4368, 31, 204, 204, 204, 7374, 275, 23577, 2746, 7815, 31, 204, 18947, 38, 13422, 289, 435, 18947, 2899, 39, 204, 1719, 3118, 289, 435, 540, 8854, 2899, 39, 204, 18947, 2899, 39, 289, 2019, 3118, 204, 204, 1449, 1020, 275, 700, 302, 610, 17, 572, 1519, 1182, 1483, 1465, 275, 4368, 19, 3355, 17, 572, 618, 732, 275, 23577, 2746, 7815, 311, 17929, 275, 4893, 292, 275, 4368, 19, 828, 572, 2379, 275, 3001, 302, 275, 12264, 336, 9215, 521, 275, 6837, 2746, 17, 572, 618, 732, 275, 7815, 311, 1020, 275, 700, 302, 610, 19, 0, 8477, 302, 2758, 10025, 10592, 2073, 896, 19, 334, 6306, 618, 1425, 444, 1376, 311, 570, 1662, 275, 3888, 1856, 444, 7868, 329, 311, 15216, 504, 2459, 440, 275, 1552, 302, 2758, 19, 204, 3837, 1741, 444, 9425, 17, 12579, 521, 6467, 329, 1376, 292, 1214, 11510, 17, 2941, 3859, 17, 521, 904, 11975, 1964, 311, 1340, 8965, 4309, 2821, 19, 204, 8477, 302, 2758, 18520, 440, 2073, 896, 19, 5868, 302, 2758, 1848, 560, 542, 4476, 71, 705, 19, 3665, 15177, 275, 1552, 17, 872, 15177, 275, 2073, 6, 334, 2765, 2139, 348, 4476, 1552, 302, 2758, 18520, 19, 204, 673, 1552, 302, 2758, 10592, 21538, 1120, 1900, 273, 34248, 10592, 302, 3490, 329, 437, 2073, 896, 19, 435, 14, 5075, 8455, 931, 2104, 33261, 299, 2327, 4683, 302, 11447, 17, 275, 34248, 1552, 302, 2758, 18520, 1308, 6296, 292, 974, 303, 5509, 523, 7277, 440, 681, 1892, 329, 571, 10496, 32, 204, 53, 547, 27780, 353, 273, 48836, 348, 11131, 17, 15231, 17, 6177, 17, 4854, 17, 4998, 329, 11043, 19, 12375, 896, 1552, 302, 2758, 1330, 872, 874, 1792, 2758, 292, 273, 2821, 1844, 17, 872, 1519, 311, 2616, 1475, 292, 273, 2824, 1552, 19, 1058, 1351, 3192, 273, 8372, 302, 1552, 302, 2758, 18520, 19, 204, 11744, 5483, 618, 4065, 808, 2821, 10592, 329, 2281, 1017, 9347, 292, 275, 2817, 1917, 19, 5868, 302, 2758, 887, 427, 5686, 2821, 18520, 2073, 896, 19, 12955, 18520, 348, 1552, 302, 2758, 19, 204, 20794, 1552, 302, 2758, 18520, 440, 6306, 19, 332, 284, 547, 27780, 22410, 353, 1917, 523, 848, 10592, 19, 415, 547, 27780, 273, 4382, 4398, 6087, 311, 874, 42026, 1330, 3100, 808, 1352, 19, 204, 7990, 5686, 720, 1552, 302, 2758, 18520, 2255, 275, 732, 302, 3277, 15231, 329, 18271, 292, 4998, 311, 275, 681, 2599, 2758, 32, 3433, 1012, 440, 3277, 3490, 496, 6675, 1698, 440, 275, 1552, 302, 2758, 3490, 3232, 311, 275, 4802, 4998, 17, 11043, 17, 6177, 329, 4854, 5035, 17, 1101, 5287, 18520, 6675, 440, 1552, 302, 2758, 11939, 830, 302, 275, 284, 547, 27780, 5035, 19, 29023, 311, 16482, 1465, 1552, 302, 2758, 284, 547, 27780, 6296, 18520, 6306, 17, 1895, 6430, 872, 11506, 496, 5798, 329, 3100, 353, 848, 302, 2077, 2479, 311, 273, 4037, 3161, 2344, 17, 9729, 7572, 299, 5409, 884, 89, 2842, 4516, 5602, 275, 5798, 21090, 23252, 19, 12964, 1120, 4017, 13171, 17, 572, 1308, 872, 440, 273, 1596, 372, 430, 302, 7249, 5862, 18139, 7192, 292, 4998, 311, 2150, 14376, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7758, 10495, 348, 19, 204, 11279, 578, 18520, 1642, 17255, 19, 3394, 1208, 12615, 25, 80, 1915, 19, 1453, 2616, 19, 5868, 302, 2758, 18520, 348, 720, 427, 5686, 17, 887, 427, 5686, 329, 1168, 427, 5686, 10677, 1225, 1924, 273, 542, 302, 4802, 18520, 329, 1675, 14224, 311, 3420, 329, 5544, 1660, 2758, 19, 204, 673, 18520, 523, 808, 1472, 529, 14104, 1870, 17, 329, 1250, 2255, 3779, 329, 7277, 496, 918, 18271, 17, 1101, 508, 15231, 19, 334, 18520, 529, 2755, 1855, 292, 11878, 329, 5004, 13218, 322, 2079, 353, 24335, 14, 329, 618, 444, 39770, 292, 43534, 88, 302, 3942, 19, 4222, 15231, 14, 11524, 2459, 311, 2616, 3779, 329, 3953, 7277, 974, 275, 1552, 302, 2758, 19, 204, 8477, 302, 2758, 10592, 348, 1168, 427, 5686, 2804, 19, 12375, 896, 11772, 1552, 302, 2758, 10592, 19, 5868, 302, 2758, 440, 15231, 329, 18271, 19, 204, 14225, 275, 1085, 292, 18271, 322, 14647, 5868, 302, 2758, 802, 284, 547, 27780, 18520, 19, 5610, 18520, 1552, 302, 2758, 18520, 440, 2073, 896, 2263, 6596, 10592, 2223, 3859, 19, 204, 673, 1552, 302, 2758, 18520, 529, 15095, 1966, 329, 1120, 6202, 9437, 754, 872, 874, 437, 39070, 8459, 302, 5926, 1552, 302, 2758, 18520, 311, 732, 292, 275, 11510, 521, 630, 2941, 19, 334, 34248, 1552, 302, 2758, 18520, 5084, 1120, 636, 872, 7572, 299, 1214, 284, 547, 27780, 6173, 292, 1236, 690, 6, 12375, 896, 1552, 302, 2758, 1330, 872, 874, 1792, 2758, 292, 273, 2821, 1844, 17, 872, 1519, 311, 2616, 1475, 292, 273, 2824, 1552, 19, 204, 3837, 869, 437, 2073, 896, 13975, 523, 275, 1350, 1472, 19, 5868, 302, 2758, 10592, 9796, 31, 5610, 15231, 529, 3277, 5537, 521, 11078, 302, 2875, 3717, 886, 19, 204, 8477, 302, 2758, 17, 10592, 1966, 1489, 5868, 302, 2758, 10592, 2799, 31, 5868, 302, 2758, 10592, 368, 2073, 896, 19, 204, 1834, 10592, 353, 273, 31048, 30652, 5686, 3966, 311, 1340, 8277, 17, 6757, 329, 2804, 630, 2941, 329, 292, 3859, 19, 5868, 302, 2758, 10592, 2073, 896, 19, 11453, 1552, 302, 2758, 18520, 529, 4476, 311, 4065, 17, 7249, 311, 732, 17, 329, 3060, 21296, 19, 204, 673, 2073, 3583, 348, 1605, 1552, 302, 2758, 18520, 2248, 848, 1660, 17, 754, 490, 353, 7249, 311, 31696, 1273, 2459, 4230, 874, 17517, 9263, 397, 1250, 636, 273, 1792, 2073, 19, 11453, 1552, 302, 2758, 18520, 10140, 292, 11447, 560, 20252, 275, 542, 302, 3099, 17, 275, 6999, 2758, 329, 3855, 18271, 529, 6999, 19, 1058, 353, 273, 2821, 11878, 34248, 4801, 6087, 440, 4569, 14696, 19, 204, 6350, 1792, 4683, 302, 11447, 311, 6296, 6, 5868, 302, 2758, 322, 39295, 18271, 32, 6597, 275, 1085, 292, 18271, 322, 14647, 204, 673, 18520, 529, 27576, 560, 5686, 32, 12955, 1552, 302, 2758, 18520, 19, 4171, 1552, 302, 2758, 18520, 1120, 636, 1214, 284, 547, 27780, 6173, 292, 25149, 1552, 6, 204, 8477, 302, 2661, 18520, 918, 6571, 2758, 1283, 4998, 11043, 6177, 329, 4854, 19, 3433, 529, 15095, 4489, 754, 872, 1120, 636, 273, 717, 1051, 848, 690, 872, 4974, 275, 5444, 19, 5868, 302, 2758, 18520, 3051, 781, 291, 8306, 1916, 17, 17371, 1429, 302, 275, 18520, 5084, 529, 1552, 302, 2758, 18520, 17, 4309, 1662, 5620, 8247, 7277, 11939, 2140, 6409, 974, 1552, 302, 2758, 329, 3564, 302, 2758, 440, 4569, 5962, 6060, 3888, 440, 2073, 3583, 19, 204, 20397, 529, 9176, 311, 3953, 7277, 440, 329, 2900, 11131, 17, 14383, 17, 329, 42645, 19, 435, 720, 8455, 2958, 1787, 289, 368, 14, 887, 465, 8178, 435, 8455, 2153, 1787, 289, 681, 14, 571, 465, 4236, 1132, 8455, 1233, 1787, 289, 571, 14, 2019, 2104, 5868, 302, 2758, 440, 1892, 10592, 2073, 896, 19, 204, 1834, 353, 275, 1552, 292, 928, 2758, 529, 6310, 311, 2616, 1182, 3700, 2821, 3490, 496, 874, 3536, 3099, 329, 3536, 2758, 19, 7616, 1552, 302, 2758, 10592, 292, 808, 4446, 4394, 2459, 284, 547, 27780, 6173, 19, 1198, 521, 4065, 4476, 11878, 34248, 10592, 329, 11524, 2459, 1465, 1552, 302, 2758, 19, 204, 7975, 12615, 1323, 2821, 1323, 5686, 720, 1323, 1552, 302, 2758, 19, 15229, 275, 1552, 302, 2758, 440, 1605, 4476, 2821, 18520, 19, 37314, 368, 302, 887, 322, 12423, 523, 12641, 19, 204, 23, 8455, 8178, 887, 465, 1916, 4839, 7215, 3232, 311, 11772, 1552, 302, 2758, 10592, 2073, 896, 19, 720, 427, 5686, 11772, 1552, 302, 2758, 10592, 204, 8390, 302, 275, 18520, 348, 808, 3773, 529, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 284, 547, 27780, 6296, 1225, 17, 974, 1552, 302, 2758, 17, 720, 427, 5686, 17, 1552, 302, 2758, 19, 1058, 1351, 353, 17498, 440, 275, 2631, 2323, 6836, 2599, 31, 4839, 7215, 3232, 311, 2073, 896, 1534, 1552, 302, 2758, 10592, 19, 204, 8477, 302, 2758, 368, 2821, 10592, 348, 8881, 440, 2073, 896, 19, 1144, 28800, 17, 368, 274, 5686, 17, 435, 307, 5686, 17, 571, 10988, 19, 41011, 1323, 2821, 1323, 2821, 560, 4711, 1323, 1552, 302, 2758, 19, 204, 26, 287, 70, 19, 70, 22, 2073, 896, 6999, 6, 0, 26, 2903, 4343, 2544, 408, 23521, 1116, 22828, 9491, 11247, 16870, 14669, 2682, 33886, 44322, 408, 4136, 9491, 5159, 4821, 5851, 11329, 10945, 2946, 7221, 12318, 49133, 408, 4640, 1390, 31387, 2356, 984, 233, 568, 16197, 4762, 9491, 16870, 14669, 408, 4136, 9491, 5159, 35063, 32164, 1886, 41876, 1111, 4136, 6463, 15593, 1984, 27349, 725, 40996, 3863, 725, 3863, 36243, 725, 9107, 2591, 9491, 12434, 33491, 4136, 6463, 4146, 3455, 23095, 408, 1189, 9491, 11247, 27297, 408, 3841, 7221, 1458, 6807, 4134, 6385, 4136, 9491, 5159, 4821, 9491, 11247, 16870, 14669, 2682, 33886, 19297, 30608, 47294, 408, 3863, 36243, 47294, 1886, 1638, 9491, 11247, 44322, 408, 3675, 6463, 16308, 988, 256, 35004, 15780, 1638, 7221, 2356, 984, 233, 408, 1254, 7221, 18846, 408, 21224, 4136, 6463, 22607, 8807, 3419, 4736, 4134, 204, 12069, 8360, 8662, 9910, 408, 3863, 36243, 2781, 4805, 6899, 9491, 1390, 7221, 2356, 984, 233, 3812, 204, 20421, 2299, 8069, 5264, 15712, 108, 13295, 38595, 408, 3863, 36243, 2065, 4136, 9491, 5159, 4821, 831, 3031, 17438, 7221, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18846, 408, 10194, 47294, 5038, 2065, 21133, 23806, 6463, 831, 3031, 12792, 1579, 831, 5972, 26503, 16870, 14669, 15593, 408, 30842, 17888, 12069, 8360, 8662, 9910, 460, 6233, 16236, 42607, 2449, 1227, 11520, 2449, 568, 8465, 408, 2781, 4805, 47294, 5038, 10880, 3863, 36243, 6899, 2065, 27349, 725, 40996, 3863, 1955, 7221, 4079, 6463, 2823, 29128, 44879, 408, 12120, 9491, 1390, 7221, 2356, 984, 233, 3812, 204, 11204, 408, 47981, 45422, 32164, 408, 854, 6589, 1398, 2314, 9399, 6463, 15421, 408, 6583, 6822, 17438, 5881, 4907, 990, 36795, 9491, 2449, 11568, 6681, 2498, 6583, 6822, 13444, 13358, 2411, 2498, 7292, 460, 19598, 1227, 7386, 3464, 568, 204, 1902, 21343, 1565, 6463, 41867, 13398, 408, 3863, 36243, 39731, 2564, 7292, 408, 21183, 6553, 40129, 3654, 31044, 408, 9813, 41658, 41293, 7764, 9250, 20287, 19888, 408, 9850, 33873, 31660, 4136, 47294, 19539, 7821, 3049, 16902, 568, 3863, 36243, 1262, 19448, 3784, 21982, 3560, 34694, 1984, 3064, 7238, 3558, 990, 1822, 9760, 47294, 6681, 1524, 13358, 2411, 2498, 7292, 460, 990, 1423, 125, 7292, 7720, 47294, 6681, 4762, 1524, 2498, 7657, 460, 990, 5564, 7292, 7720, 47294, 6681, 3863, 36243, 460, 4126, 9158, 2402, 26748, 3013, 47294, 7821, 460, 14609, 1227, 22238, 408, 12707, 3560, 13358, 2411, 2498, 7292, 4134, 204, 3140, 13353, 10536, 4730, 14613, 5718, 408, 3863, 36243, 2778, 23556, 11520, 47294, 5038, 6233, 6770, 16312, 408, 29310, 3152, 11870, 4015, 4136, 47294, 19448, 4747, 8010, 5103, 27245, 16174, 10106, 3068, 1227, 17853, 43250, 19448, 10700, 20315, 4002, 2338, 3784, 19493, 12334, 4015, 17853, 43250, 19448, 3560, 3784, 12330, 4002, 1955, 408, 28554, 47294, 19448, 12644, 3784, 35581, 1227, 28657, 35581, 408, 14621, 8461, 11476, 47294, 5038, 921, 19448, 8437, 12840, 41000, 33779, 20550, 460, 4276, 4747, 408, 26748, 5038, 13358, 2411, 2498, 7292, 4134, 204, 3064, 990, 3784, 16870, 14669, 1001, 1524, 990, 5038, 16870, 14669, 6681, 3863, 36243, 8241, 13150, 5216, 408, 13006, 14034, 1111, 42443, 27912, 22572, 3411, 15593, 408, 1886, 5601, 24385, 3152, 9491, 1390, 7221, 2356, 984, 233, 460, 31192, 19598, 568, 204, 6385, 14403, 1572, 17853, 32013, 28805, 408, 3863, 36243, 854, 47294, 5038, 22395, 19233, 2065, 14403, 1572, 5932, 16139, 20587, 7652, 19119, 568, 33812, 14403, 1572, 408, 3863, 36243, 47294, 47176, 17150, 43852, 9531, 20587, 17853, 32013, 7652, 26483, 28522, 25563, 3235, 408, 2499, 10513, 19448, 725, 10513, 38246, 47294, 3560, 921, 7221, 26684, 3590, 14159, 568, 204, 14464, 408, 3863, 36243, 47294, 2778, 17437, 12838, 13919, 42485, 2494, 8510, 568, 3064, 27785, 14403, 1572, 5485, 17258, 408, 1524, 36589, 19456, 10218, 9438, 8208, 11751, 408, 3863, 36243, 17853, 26916, 7764, 12235, 28829, 2615, 17928, 408, 9555, 10366, 3152, 13353, 27912, 10218, 6807, 17288, 408, 1886, 46465, 47294, 5038, 9938, 3152, 9486, 1999, 16308, 988, 256, 408, 3675, 7221, 29664, 4136, 27912, 15593, 4134, 204, 4136, 3863, 36243, 408, 7221, 18846, 568, 5552, 1638, 2065, 3476, 2449, 1189, 18509, 408, 1002, 35757, 2065, 3476, 2449, 11567, 408, 854, 20079, 23806, 460, 14525, 3464, 408, 7059, 4136, 6463, 31036, 7221, 35122, 2386, 6625, 568, 16197, 3863, 36243, 6463, 45480, 16870, 14669, 408, 854, 6463, 19598, 2678, 3036, 408, 7059, 3140, 9459, 20527, 568, 12321, 8626, 29363, 408, 20079, 15684, 255, 3152, 408, 3863, 36243, 27241, 4525, 8241, 7869, 408, 9491, 1390, 8376, 7221, 18846, 408, 3675, 4136, 6463, 921, 7221, 29927, 1390, 13358, 2411, 2498, 7292, 6, 204, 0, 531, 1498, 532, 1884, 17, 783, 204, 647, 14698, 204, 204, 676, 23588, 5064, 11546, 270, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2668, 31, 783, 64, 1218, 64, 325, 4395, 19696, 31, 1135, 330, 204, 268, 320, 204, 268, 977, 275, 23588, 5064, 11546, 270, 19, 204, 204, 268, 457, 31, 204, 305, 2668, 322, 1218, 64, 1218, 64, 325, 3795, 334, 2668, 311, 2790, 7369, 523, 19, 204, 305, 19696, 322, 873, 330, 332, 955, 302, 9297, 2992, 19, 204, 268, 320, 204, 268, 370, 19, 2052, 289, 2668, 204, 268, 370, 19, 8190, 289, 19696, 204, 204, 264, 436, 2790, 68, 2602, 13, 327, 17, 1012, 68, 417, 31, 394, 17, 919, 68, 998, 31, 421, 17, 1136, 68, 417, 31, 394, 17, 537, 68, 998, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4456, 273, 1727, 1283, 970, 21999, 523, 275, 2668, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4145, 9297, 19, 204, 305, 919, 68, 998, 322, 339, 330, 334, 919, 1112, 302, 275, 4145, 9297, 19, 204, 305, 1136, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2423, 9297, 19, 204, 305, 537, 68, 998, 322, 339, 330, 334, 537, 1112, 302, 275, 2423, 9297, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1012, 68, 3470, 289, 370, 19, 8190, 64, 1530, 68, 417, 66, 204, 305, 1136, 68, 3470, 289, 370, 19, 8190, 64, 409, 68, 417, 66, 204, 268, 827, 7323, 31, 204, 305, 456, 13, 75, 7, 596, 31, 23588, 3318, 1530, 68, 417, 2867, 521, 3318, 409, 68, 417, 2867, 508, 1193, 1280, 204, 305, 407, 204, 204, 268, 314, 968, 3454, 348, 4037, 12996, 204, 268, 11538, 8298, 7482, 68, 6828, 289, 7810, 93, 22, 71, 64, 21, 82, 12, 204, 268, 28788, 68, 61, 289, 1012, 68, 3470, 64, 22, 66, 465, 931, 204, 268, 28788, 68, 62, 289, 1012, 68, 3470, 64, 23, 66, 465, 368, 465, 919, 68, 998, 204, 268, 24941, 68, 61, 289, 1136, 68, 3470, 64, 22, 66, 338, 368, 204, 268, 24941, 68, 62, 289, 1136, 68, 3470, 64, 23, 66, 465, 368, 465, 537, 68, 998, 204, 204, 268, 314, 1974, 273, 7490, 741, 311, 949, 275, 832, 204, 268, 832, 289, 370, 806, 3446, 68, 546, 1802, 13858, 68, 61, 17, 28788, 68, 62, 659, 322, 6627, 68, 61, 17, 24941, 68, 62, 602, 204, 204, 268, 314, 4456, 275, 1727, 204, 268, 370, 806, 3320, 68, 546, 13, 546, 17, 11538, 8298, 7482, 68, 6828, 14, 204, 204, 264, 436, 906, 3446, 68, 546, 13, 327, 17, 1012, 31, 1884, 64, 339, 17, 421, 648, 1136, 31, 1884, 64, 339, 17, 421, 694, 393, 783, 64, 2983, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 64, 339, 17, 421, 2440, 204, 268, 320, 204, 268, 888, 275, 832, 1283, 970, 1728, 523, 275, 2668, 974, 332, 15, 3372, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 322, 2983, 64, 339, 17, 421, 1037, 334, 4145, 917, 19, 204, 305, 1136, 322, 2983, 64, 339, 17, 421, 1037, 334, 9801, 917, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 2983, 64, 339, 17, 421, 2440, 334, 3392, 832, 19, 204, 268, 320, 204, 268, 314, 968, 2237, 12773, 322, 398, 17, 1873, 17, 1824, 17, 1629, 14, 204, 268, 12773, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 2395, 204, 204, 268, 314, 977, 275, 1451, 458, 329, 275, 7106, 458, 204, 268, 1451, 68, 655, 289, 1306, 204, 268, 7106, 68, 655, 289, 758, 374, 204, 204, 268, 314, 1255, 275, 4145, 917, 311, 275, 1451, 458, 204, 268, 14698, 19, 28748, 13, 3664, 68, 655, 17, 322, 21, 17, 1012, 602, 204, 204, 268, 314, 977, 275, 2264, 329, 3090, 944, 5239, 204, 268, 2264, 289, 463, 1530, 31, 500, 98, 204, 268, 3090, 289, 463, 1530, 31, 443, 98, 204, 204, 268, 1335, 1451, 68, 655, 31, 204, 305, 314, 763, 275, 944, 440, 275, 10658, 2264, 497, 275, 1451, 458, 204, 305, 790, 68, 3803, 17, 790, 68, 1241, 289, 14698, 19, 31227, 13, 3664, 68, 655, 14, 204, 204, 305, 314, 778, 397, 275, 790, 944, 353, 275, 1136, 944, 204, 305, 397, 790, 68, 1241, 564, 1136, 31, 204, 485, 314, 27573, 275, 832, 204, 485, 832, 289, 1306, 204, 485, 1335, 790, 68, 1241, 353, 508, 443, 31, 204, 895, 832, 19, 1223, 13, 1976, 68, 1241, 14, 204, 895, 790, 68, 1241, 289, 3090, 64, 1976, 68, 1241, 66, 204, 485, 407, 832, 12658, 22, 66, 204, 204, 305, 314, 1255, 275, 790, 944, 311, 275, 7106, 458, 204, 305, 7106, 68, 655, 19, 826, 13, 1976, 68, 1241, 14, 204, 204, 305, 314, 19947, 275, 7343, 302, 275, 790, 944, 204, 305, 348, 6438, 292, 12773, 31, 204, 485, 6199, 289, 322, 1976, 68, 1241, 64, 21, 66, 465, 6438, 64, 21, 648, 790, 68, 1241, 64, 22, 66, 465, 6438, 64, 22, 694, 204, 204, 485, 314, 778, 397, 275, 6199, 353, 2614, 275, 2668, 10873, 204, 485, 397, 322, 21, 2186, 6199, 64, 21, 66, 962, 1245, 13, 327, 19, 2052, 64, 21, 4513, 329, 322, 21, 2186, 6199, 64, 22, 66, 962, 1245, 13, 327, 19, 2052, 4019, 204, 895, 314, 888, 275, 717, 2264, 204, 895, 717, 68, 3803, 289, 2264, 64, 1976, 68, 1241, 66, 465, 368, 204, 204, 895, 314, 778, 397, 275, 6199, 353, 508, 292, 275, 7106, 458, 521, 869, 273, 3124, 2264, 204, 895, 397, 6199, 508, 292, 7106, 68, 655, 521, 717, 68, 3803, 962, 2264, 19, 505, 13, 9431, 17, 818, 611, 3643, 25843, 204, 2058, 314, 1716, 275, 2264, 329, 3090, 944, 204, 2058, 2264, 64, 9431, 66, 289, 717, 68, 3803, 204, 2058, 3090, 64, 9431, 66, 289, 790, 68, 1241, 204, 204, 2058, 314, 888, 275, 20205, 322, 2938, 14704, 1759, 14, 204, 2058, 20205, 289, 7041, 13, 9431, 64, 21, 66, 338, 1136, 64, 21, 694, 465, 7041, 13, 9431, 64, 22, 66, 338, 1136, 64, 22, 694, 204, 204, 2058, 314, 1255, 275, 6199, 311, 275, 1451, 458, 204, 2058, 14698, 19, 28748, 13, 3664, 68, 655, 17, 322, 1957, 68, 3803, 465, 20205, 17, 6199, 602, 204, 204, 268, 314, 828, 1236, 832, 353, 1193, 17, 407, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 906, 3320, 68, 546, 13, 327, 17, 832, 31, 783, 64, 2983, 64, 339, 17, 421, 4395, 1848, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4456, 275, 1727, 523, 275, 2668, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 1218, 64, 2983, 64, 339, 17, 421, 3795, 334, 832, 311, 2790, 19, 204, 305, 1848, 322, 325, 330, 334, 1848, 302, 275, 1727, 19, 204, 268, 320, 204, 268, 314, 4456, 275, 1727, 204, 268, 348, 296, 17, 322, 93, 17, 469, 14, 292, 3209, 13, 546, 330, 204, 305, 397, 296, 564, 500, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 21171, 465, 1848, 204, 305, 1677, 296, 564, 1245, 13, 546, 14, 338, 368, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 21171, 465, 1848, 204, 305, 902, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 28365, 12, 465, 1848, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 977, 275, 2668, 329, 2992, 204, 264, 2668, 289, 31099, 379, 348, 906, 292, 933, 13, 1036, 2395, 348, 906, 292, 933, 13, 1036, 2395, 204, 264, 19696, 289, 463, 204, 268, 379, 10743, 22, 597, 322, 21, 17, 500, 17, 500, 659, 204, 268, 379, 10743, 23, 597, 322, 1003, 17, 931, 17, 500, 14, 204, 264, 1211, 204, 204, 264, 314, 666, 273, 23588, 5064, 11546, 270, 1014, 204, 264, 44263, 289, 23588, 5064, 11546, 270, 13, 2052, 17, 19696, 14, 204, 204, 264, 314, 4456, 273, 1727, 1283, 970, 21999, 204, 264, 44263, 19, 3320, 68, 2602, 611, 10743, 22, 491, 500, 17, 379, 10743, 23, 491, 500, 14, 204, 204, 264, 314, 1198, 275, 2668, 204, 264, 348, 1237, 292, 2668, 31, 204, 268, 456, 27395, 1541, 13, 937, 602, 204, 0, 8, 968, 273, 1034, 850, 440, 273, 11100, 588, 204, 676, 15329, 31, 204, 264, 320, 204, 264, 3301, 850, 2457, 273, 5654, 440, 2986, 311, 2037, 1163, 1187, 329, 1895, 273, 5316, 19, 204, 204, 264, 1532, 31, 204, 268, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 5654, 68, 932, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 15329, 1014, 19, 204, 204, 268, 457, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 305, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 11735, 68, 932, 289, 5654, 68, 932, 204, 204, 264, 436, 2037, 68, 11735, 68, 932, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 1187, 302, 5654, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 1834, 353, 273, 463, 327, 19, 11735, 68, 932, 12443, 204, 204, 264, 436, 1895, 68, 11438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 5316, 2927, 560, 275, 5654, 19, 204, 268, 320, 204, 268, 456, 499, 20492, 5814, 273, 5316, 1280, 204, 204, 204, 8, 968, 3161, 1034, 850, 440, 273, 11100, 588, 204, 676, 20049, 20492, 31, 204, 264, 320, 204, 264, 3301, 850, 2457, 437, 6132, 5654, 440, 2986, 311, 2037, 1163, 10930, 1870, 329, 6979, 19, 204, 204, 264, 1532, 31, 204, 268, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 10930, 68, 2201, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 20049, 20492, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 23570, 68, 2201, 289, 10930, 68, 2201, 204, 204, 264, 436, 2037, 68, 23570, 68, 2201, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 39, 8663, 1870, 31, 463, 327, 19, 23570, 68, 2201, 28131, 204, 204, 264, 436, 6979, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 943, 5850, 275, 6132, 5654, 353, 27916, 19, 204, 268, 320, 204, 268, 456, 499, 37493, 5654, 353, 27916, 1280, 204, 204, 204, 8, 968, 273, 20333, 496, 28073, 497, 20049, 20492, 329, 15329, 204, 676, 20049, 11424, 13, 37493, 20492, 17, 15329, 330, 204, 264, 320, 204, 264, 3685, 676, 2457, 437, 6132, 2147, 496, 28073, 497, 20049, 20492, 329, 15329, 19, 204, 204, 264, 1532, 31, 204, 268, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 268, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 5654, 68, 932, 31, 394, 17, 10930, 68, 2201, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 20049, 11424, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 305, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 15329, 3925, 924, 889, 327, 17, 5654, 68, 932, 14, 204, 268, 20049, 20492, 3925, 924, 889, 327, 17, 10930, 68, 2201, 14, 204, 204, 264, 436, 1895, 68, 11438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8710, 17167, 275, 1895, 68, 11438, 1216, 311, 456, 273, 5316, 2824, 311, 437, 6132, 2147, 19, 204, 268, 320, 204, 268, 456, 499, 37493, 2147, 5814, 273, 19249, 2888, 6712, 5316, 1280, 204, 204, 204, 8, 666, 437, 1014, 302, 275, 20333, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 6132, 68, 5365, 289, 20049, 11424, 499, 37493, 5403, 528, 5074, 14, 204, 268, 6132, 68, 5365, 19, 2994, 68, 11735, 68, 932, 374, 204, 268, 6132, 68, 5365, 19, 2994, 68, 23570, 68, 2201, 374, 204, 268, 6132, 68, 5365, 19, 5934, 68, 11438, 374, 204, 268, 6132, 68, 5365, 19, 11146, 374, 204, 268, 314, 4347, 275, 1216, 8352, 1552, 302, 275, 20333, 204, 268, 456, 13, 37493, 11424, 3925, 82, 295, 4422, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 0, 10853, 7741, 2677, 12730, 2653, 854, 28555, 16864, 460, 11620, 8356, 408, 8075, 2657, 30868, 1524, 9560, 460, 31690, 28892, 408, 28892, 10774, 3064, 7077, 48, 14742, 18889, 7077, 44, 14742, 9863, 568, 10853, 7741, 24057, 12730, 10853, 7741, 4987, 10853, 7741, 24973, 408, 4411, 13427, 1822, 7741, 12749, 11679, 31690, 9107, 460, 24057, 568, 4126, 21365, 11679, 33494, 5758, 47217, 12749, 2134, 19605, 4323, 7741, 24973, 408, 29228, 13971, 47217, 19605, 1822, 7741, 24973, 408, 2253, 10853, 7741, 4987, 6663, 11226, 1822, 7741, 24973, 568, 1822, 7741, 13, 29228, 1003, 48, 14, 3058, 10853, 7741, 2677, 7077, 48, 18, 7077, 44, 2653, 854, 1822, 7741, 460, 26200, 7741, 6107, 3058, 6226, 9107, 7741, 6107, 2677, 7077, 50, 18, 7077, 44, 2653, 40940, 10853, 7741, 460, 26200, 7741, 6107, 568, 921, 9855, 1674, 17939, 1191, 408, 24973, 3361, 1811, 35021, 408, 35021, 23992, 1456, 10434, 16207, 2299, 3058, 3653, 3796, 24973, 4525, 35021, 408, 35021, 23992, 1456, 10434, 3653, 3796, 460, 31690, 2299, 408, 19605, 31690, 9107, 568, 921, 31690, 9107, 28892, 22944, 2051, 80, 28603, 1398, 408, 31690, 9107, 43355, 1773, 2949, 21307, 408, 7813, 10434, 23412, 27905, 408, 3038, 31690, 9107, 28892, 28628, 2051, 80, 14742, 1398, 408, 31690, 9107, 19511, 12489, 1191, 20087, 408, 2823, 2056, 27173, 5784, 2638, 14970, 460, 2134, 5788, 5784, 48352, 408, 10434, 7292, 15932, 27905, 6486, 408, 2780, 5227, 6472, 7292, 15932, 27905, 6486, 12883, 7741, 31690, 9107, 19605, 10853, 7741, 3058, 10853, 7741, 3784, 921, 26464, 23819, 8437, 1191, 3944, 13191, 3865, 408, 942, 3491, 14668, 4769, 4987, 7452, 10853, 7741, 27905, 6478, 568, 204, 7115, 23197, 12730, 1701, 3560, 13423, 28892, 942, 4323, 7741, 725, 1822, 7741, 1227, 10097, 1822, 7741, 460, 28892, 10774, 15944, 12239, 5890, 31282, 12145, 3560, 9027, 5890, 7741, 6107, 460, 12730, 1701, 3560, 18255, 12145, 21817, 568, 8695, 42341, 3708, 48524, 4152, 1227, 942, 4152, 20182, 6478, 568, 204, 4323, 7741, 13, 3064, 11165, 48, 14742, 1524, 30303, 48, 14742, 14, 11204, 12730, 1701, 3784, 13643, 921, 4323, 7741, 11004, 45877, 8706, 1262, 1227, 14159, 568, 4296, 28892, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20887, 4525, 2134, 3602, 1107, 105, 1990, 16229, 3590, 3235, 20780, 921, 7799, 8356, 3708, 3491, 12923, 1227, 42341, 3708, 3491, 12923, 2436, 9358, 3013, 44297, 226, 1107, 105, 7652, 1262, 568, 4525, 7799, 8356, 3708, 3653, 3796, 2299, 21472, 921, 42341, 3708, 2773, 3491, 1191, 42341, 460, 22806, 3944, 4021, 3361, 1432, 1531, 38983, 22806, 3865, 19, 16207, 2299, 12399, 6899, 21178, 3944, 23197, 408, 6878, 2299, 3476, 15603, 460, 6325, 4565, 568, 204, 3235, 921, 4323, 7741, 460, 42341, 3708, 7080, 7162, 3235, 28892, 3064, 9030, 48, 14742, 1524, 30303, 48, 14742, 4743, 13423, 28892, 1189, 30303, 19, 23, 48, 14742, 568, 4296, 7741, 6107, 460, 9107, 2564, 29165, 1189, 31782, 82, 3058, 204, 22, 19, 11746, 13592, 6713, 6290, 2638, 408, 7931, 4323, 7741, 6899, 12744, 1811, 30444, 28870, 25383, 29491, 11219, 15143, 7799, 4472, 15932, 568, 204, 23, 19, 3235, 921, 4323, 7741, 460, 7799, 8356, 3708, 47176, 40427, 40259, 21304, 18639, 568, 204, 24, 19, 4323, 7741, 3560, 942, 12145, 10458, 3589, 12554, 568, 5844, 10458, 3589, 12554, 4987, 7744, 6325, 11114, 408, 6878, 942, 1003, 1565, 23758, 28258, 568, 204, 25, 19, 10282, 4296, 28892, 460, 16207, 2299, 12399, 15603, 25460, 408, 6878, 6899, 9014, 14655, 22897, 460, 7799, 8356, 12399, 568, 204, 26, 19, 2738, 6429, 6966, 7741, 6107, 460, 12730, 1701, 3560, 408, 4296, 7741, 6107, 5778, 27905, 47239, 7474, 10795, 568, 204, 27, 19, 42341, 18938, 7744, 14655, 38147, 7741, 6107, 9184, 1345, 11114, 568, 204, 5757, 8706, 1262, 1984, 204, 36488, 27525, 1284, 29760, 4769, 3058, 9109, 4121, 29636, 1227, 3079, 2889, 104, 45436, 2110, 3655, 21103, 8706, 1262, 3058, 6523, 6969, 10090, 4856, 13358, 21103, 8706, 1262, 3058, 9190, 39929, 25232, 1227, 17339, 34822, 3058, 9190, 38410, 21103, 8706, 1262, 3058, 10451, 3655, 16570, 21103, 8706, 1262, 3058, 3655, 13739, 1227, 5137, 34822, 568, 204, 1822, 7741, 13, 3235, 28892, 1189, 2353, 19, 7525, 50, 14742, 14, 921, 4296, 28892, 460, 42341, 3708, 22128, 4485, 3491, 12923, 3590, 16064, 2366, 408, 27919, 20197, 3227, 3013, 20719, 16229, 11135, 2773, 3491, 568, 42341, 3708, 7931, 4525, 38671, 4045, 2366, 16229, 16229, 3590, 3235, 568, 20780, 4525, 42341, 3708, 7858, 38671, 41458, 460, 3190, 2414, 1227, 5548, 2110, 47292, 7799, 8356, 3708, 2773, 3491, 7858, 22806, 8383, 11679, 408, 7307, 1262, 7292, 15932, 42341, 3708, 1603, 2773, 3491, 22806, 3590, 16103, 11677, 4045, 2366, 568, 4945, 11197, 4525, 5778, 7780, 38671, 22806, 460, 3190, 2414, 1227, 5548, 2110, 408, 8465, 6573, 5778, 1970, 6899, 3064, 42341, 3708, 27905, 1524, 7799, 8356, 3708, 568, 204, 22, 19, 3235, 28892, 1189, 2353, 19, 7525, 50, 14742, 408, 4296, 28892, 460, 9107, 2564, 25731, 1189, 2898, 82, 3058, 204, 23, 19, 11746, 13592, 6713, 2638, 408, 4296, 28892, 460, 9107, 2564, 2657, 12744, 1811, 19759, 45624, 408, 6878, 17793, 1456, 11219, 7799, 4472, 15932, 568, 42341, 3708, 4485, 21535, 13592, 23226, 15932, 3058, 204, 24, 19, 4296, 7741, 6107, 47176, 2402, 11004, 21247, 22978, 40259, 18639, 3058, 204, 25, 19, 42341, 3708, 7931, 1254, 9855, 27125, 34498, 3058, 204, 27, 19, 4296, 4769, 6472, 4121, 9620, 23047, 21817, 408, 2657, 5718, 7799, 4472, 17150, 9855, 27125, 3058, 204, 28, 19, 2657, 5227, 25951, 5778, 5452, 8356, 2739, 27125, 1191, 3058, 204, 29, 19, 5778, 27905, 47239, 2807, 4323, 7741, 1345, 4565, 408, 7744, 6744, 2675, 11114, 568, 204, 29220, 4068, 21103, 8706, 1262, 3058, 8345, 1971, 3464, 6538, 17698, 29760, 8706, 1262, 3058, 26771, 29840, 1227, 13974, 21103, 44055, 8706, 1262, 3058, 3283, 2949, 5531, 25232, 4769, 3058, 10451, 3655, 16570, 29760, 1227, 8706, 1262, 3058, 17179, 11423, 6514, 26584, 4769, 3058, 19017, 13294, 29760, 4769, 3058, 25034, 13974, 21103, 44055, 8706, 1262, 3058, 7657, 39734, 29760, 568, 204, 10097, 1822, 7741, 13, 3235, 28892, 1189, 29, 2682, 50, 14742, 1524, 36373, 50, 14742, 9863, 10097, 1822, 7741, 4769, 4525, 2134, 2299, 1550, 27905, 23324, 568, 2134, 32140, 23324, 15603, 460, 6744, 25460, 408, 6878, 7799, 4472, 460, 12399, 6744, 22673, 3590, 23197, 568, 4296, 7741, 6107, 7799, 4472, 15932, 7474, 7292, 408, 3079, 4152, 37704, 1003, 82, 13620, 568, 20887, 4525, 2134, 3965, 1107, 105, 1990, 16229, 3590, 7307, 568, 204, 22, 19, 921, 4296, 7741, 6107, 408, 10218, 460, 23197, 6744, 2675, 18787, 30413, 18974, 1227, 6848, 28348, 23197, 460, 28892, 1189, 29, 6996, 50, 14742, 408, 5381, 3380, 23197, 460, 7741, 6107, 1189, 3276, 23, 50, 14742, 1524, 44767, 50, 14742, 9863, 408, 921, 13440, 11516, 460, 7741, 6107, 1189, 41374, 50, 14742, 1524, 4957, 27, 50, 14742, 9863, 568, 4296, 7741, 6107, 460, 9107, 2564, 25731, 1189, 2188, 3912, 13620, 568, 204, 23, 19, 7115, 408, 4296, 7741, 6107, 21946, 22171, 7115, 16792, 460, 23197, 13, 9594, 23197, 1189, 25, 60, 408, 18974, 23197, 1189, 4589, 82, 60, 23215, 204, 24, 19, 10097, 1822, 7741, 7741, 6107, 460, 2134, 9107, 7813, 4525, 10272, 6713, 408, 19479, 2321, 408, 43986, 408, 21147, 1955, 46406, 22764, 33715, 568, 2738, 6429, 1822, 7741, 460, 9855, 27125, 9184, 408, 4296, 7741, 6107, 460, 9855, 27125, 25777, 1227, 13592, 1789, 2110, 1550, 568, 204, 25, 19, 9855, 27125, 460, 2773, 3491, 7931, 854, 2564, 4906, 1227, 27125, 6213, 568, 2773, 3491, 942, 3491, 18262, 13274, 5881, 1971, 20182, 4587, 408, 11572, 5890, 8706, 15727, 7624, 568, 204, 26, 19, 4296, 7741, 6107, 942, 5844, 7799, 4472, 15932, 408, 6878, 1603, 7799, 4472, 12399, 21756, 3590, 23197, 568, 204, 27, 19, 942, 48644, 5778, 27905, 47239, 408, 921, 2675, 8552, 15563, 2657, 7799, 4472, 24459, 9855, 27125, 568, 204, 32315, 7858, 44055, 8706, 1262, 3058, 29840, 9190, 12644, 44055, 8706, 1262, 3058, 23600, 4232, 45201, 29760, 1227, 8706, 1262, 3058, 7420, 18500, 29760, 1227, 8706, 1262, 3058, 26443, 4232, 45201, 29760, 1227, 8706, 1262, 3058, 1946, 20455, 4068, 21103, 8706, 1262, 3058, 41589, 6514, 1899, 1670, 33340, 8706, 1262, 568, 204, 942, 4152, 12730, 1701, 3784, 2677, 23, 19, 2985, 44, 14742, 725, 26, 19, 29, 44, 14742, 2653, 942, 4152, 12730, 1701, 16118, 4323, 1458, 10853, 21946, 725, 23819, 15932, 2564, 725, 27905, 5778, 2359, 1251, 39241, 1822, 1227, 17211, 3965, 36486, 42456, 2065, 3079, 4152, 12730, 1701, 16858, 921, 3784, 7858, 11148, 6371, 13415, 568, 3944, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13191, 1773, 8706, 1262, 1524, 23707, 25232, 725, 10265, 4304, 48010, 4068, 725, 6514, 19344, 4068, 1955, 8706, 1262, 1191, 568, 6878, 3865, 3136, 7741, 6107, 6472, 2675, 20945, 12927, 2114, 408, 11026, 921, 34261, 12399, 2386, 33871, 13592, 44463, 12808, 408, 13592, 44463, 1603, 4296, 7741, 6107, 460, 10853, 7741, 48639, 14650, 10853, 1227, 48352, 408, 13225, 6290, 10853, 7741, 34261, 18938, 20222, 7799, 8356, 568, 204, 10853, 7741, 4698, 3875, 25961, 50, 26, 3787, 204, 21103, 9219, 3235, 15159, 854, 1984, 16759, 3708, 4525, 1458, 10853, 2773, 3491, 3921, 7573, 7191, 28892, 460, 10853, 7741, 20222, 408, 2891, 10853, 7741, 8494, 9398, 1458, 10853, 2773, 3491, 3235, 12399, 1398, 9014, 42341, 24973, 27265, 10853, 7741, 8494, 8181, 23324, 3944, 8626, 3227, 3058, 10853, 7741, 8494, 2499, 13353, 7939, 9019, 1955, 5452, 4525, 8494, 48773, 3921, 7573, 2773, 3491, 3921, 7573, 27007, 3058, 4769, 34261, 2773, 3491, 3190, 26761, 3064, 10853, 7741, 8494, 3921, 7573, 8398, 8360, 9107, 20222, 408, 2056, 2773, 3491, 20597, 3708, 3921, 43934, 16759, 3708, 408, 16759, 3708, 32099, 3827, 460, 20222, 3590, 3240, 4045, 1227, 3240, 9019, 11012, 43934, 1946, 3863, 2453, 4769, 3590, 6326, 6152, 3058, 2453, 4769, 6606, 28718, 3523, 6201, 21542, 4296, 8494, 460, 27279, 2114, 408, 12253, 12145, 27016, 21306, 26692, 6152, 1227, 7780, 408, 27834, 4477, 9960, 20222, 7780, 12023, 7436, 21826, 568, 204, 921, 1107, 105, 1990, 6478, 13, 2134, 3602, 18, 31690, 27064, 23819, 15159, 13, 35036, 61, 725, 16521, 61, 725, 43614, 27064, 3064, 10853, 7741, 8494, 1524, 16759, 18938, 5778, 27905, 7371, 13, 38671, 4045, 2366, 725, 5673, 3841, 10633, 10853, 725, 1822, 3183, 25719, 9107, 14, 5958, 28892, 10774, 24170, 408, 12145, 4438, 16081, 27905, 7371, 942, 19737, 460, 24627, 408, 3038, 22610, 16759, 3708, 921, 7340, 24089, 1390, 408, 5958, 31576, 12391, 19864, 41136, 1390, 33628, 35458, 408, 7462, 16759, 3708, 44365, 48928, 1189, 1822, 7741, 31819, 1227, 7780, 30647, 11152, 9219, 4698, 3875, 568, 1822, 7741, 31819, 17168, 3921, 7573, 3708, 1227, 34261, 3708, 408, 2336, 7340, 7782, 1984, 9014, 1822, 7741, 1458, 10853, 21946, 1254, 17359, 10853, 7741, 8494, 2823, 4660, 23324, 3058, 1603, 1458, 10853, 20222, 3590, 4045, 2366, 408, 8777, 2499, 5778, 3921, 7573, 4264, 10853, 7741, 8494, 3058, 34261, 2823, 3240, 4045, 13444, 10853, 7741, 8494, 12883, 7741, 20222, 568, 5890, 10853, 7741, 22378, 4769, 12883, 7741, 31819, 4587, 6472, 6462, 22074, 568, 204, 16759, 18938, 7780, 30647, 31952, 7782, 1984, 2065, 8706, 1262, 4769, 11910, 3590, 23819, 408, 2823, 12023, 8706, 1262, 4769, 11910, 1458, 8398, 38903, 3058, 7780, 2065, 10853, 7741, 8494, 460, 23819, 6614, 13, 2453, 18, 3064, 16948, 14, 3058, 20222, 460, 7939, 3240, 9019, 568, 1603, 6462, 40259, 4769, 9189, 12023, 5673, 39634, 30198, 408, 1603, 10853, 7741, 8494, 2065, 16759, 3708, 2436, 1345, 3921, 7573, 25598, 3590, 35285, 1227, 3240, 6730, 408, 5958, 3590, 10853, 7741, 8494, 1227, 16759, 3708, 30542, 18245, 27933, 1955, 41619, 7340, 568, 204, 26464, 10853, 7741, 22378, 21103, 7799, 8356, 15932, 11691, 2675, 10644, 460, 22440, 568, 7115, 408, 2564, 15932, 26464, 10853, 7741, 22378, 21103, 7744, 2778, 2675, 11114, 408, 7466, 20294, 6960, 2336, 7799, 8356, 15932, 20244, 44544, 568, 6290, 10853, 7741, 8494, 7799, 8356, 15932, 460, 13679, 7782, 2773, 3491, 3235, 28892, 725, 16759, 18938, 12730, 22171, 21946, 725, 16759, 18938, 34261, 9884, 16262, 2148, 725, 10853, 7741, 8494, 460, 4413, 13573, 725, 2773, 3491, 2338, 25719, 16103, 27053, 460, 54, 5057, 725, 2773, 3491, 12927, 725, 16759, 3708, 1227, 10853, 7741, 8494, 460, 1107, 105, 1990, 2148, 408, 5958, 10853, 7741, 8494, 16785, 8181, 460, 23324, 2338, 3921, 7573, 39151, 23324, 1955, 568, 19759, 21103, 7799, 4472, 15932, 1227, 8356, 2739, 15932, 854, 12145, 408, 8356, 2739, 15932, 29165, 854, 7799, 4472, 15932, 460, 2169, 10, 18889, 2934, 12899, 204, 8612, 10853, 7741, 42498, 11501, 8255, 408, 854, 16937, 1773, 14927, 10853, 7741, 19582, 460, 5083, 3445, 8310, 9969, 11104, 3058, 23035, 21946, 460, 32669, 8075, 10853, 7741, 20222, 460, 23035, 21946, 42498, 32669, 82, 725, 32669, 60, 8075, 408, 4411, 2065, 82, 60, 725, 60, 460, 7712, 6201, 9978, 21131, 1984, 204, 14407, 20222, 21946, 1189, 93, 408, 60, 408, 9092, 32669, 82, 8075, 1398, 2336, 25131, 1189, 1984, 204, 22, 82, 60, 41170, 21, 32669, 82, 568, 14407, 1984, 22, 60, 41170, 2188, 32669, 82, 408, 41170, 21, 32669, 60, 568, 204, 14655, 21946, 460, 32669, 8075, 10853, 7741, 20222, 460, 14655, 21946, 42498, 32669, 1227, 32669, 72, 20182, 12554, 8075, 408, 2336, 24627, 20679, 1984, 204, 32669, 854, 30444, 11152, 21946, 460, 2807, 5057, 460, 1603, 2642, 8075, 12554, 3058, 2253, 32669, 72, 854, 9317, 831, 7741, 2615, 22171, 21946, 1227, 8360, 7741, 22171, 21946, 460, 2807, 5057, 460, 1603, 2642, 8075, 12554, 568, 204, 2773, 3491, 4129, 6599, 7931, 3571, 73, 30313, 2860, 32669, 73, 8075, 568, 73, 30313, 21252, 2773, 3491, 2738, 6429, 3079, 12927, 2773, 26772, 21946, 23324, 26326, 2356, 2807, 408, 32669, 73, 21252, 2738, 6429, 7814, 9107, 16103, 2455, 5876, 15170, 18603, 21946, 23324, 26326, 2356, 2807, 408, 7814, 9107, 16103, 19459, 4129, 6599, 1189, 23, 19, 1909, 73, 30313, 408, 7466, 21, 32669, 73, 34, 23, 19, 1909, 73, 30313, 568, 204, 41458, 1984, 12599, 24285, 24973, 4525, 460, 44463, 2860, 16122, 408, 13225, 5227, 2134, 1367, 47703, 4250, 1367, 2860, 22146, 12554, 460, 23324, 408, 8255, 1984, 9678, 18782, 408, 20860, 204, 24973, 1984, 8255, 38593, 4525, 27053, 1390, 9317, 831, 13363, 35294, 2134, 17902, 2642, 408, 8255, 1984, 2857, 6773, 408, 38, 204, 2134, 3602, 1984, 3491, 12923, 3716, 16064, 3013, 27443, 408, 14765, 854, 3883, 3491, 408, 8185, 31690, 42341, 22131, 408, 3491, 12923, 1432, 9014, 17853, 5827, 1367, 408, 8255, 1984, 512, 107, 3178, 408, 45, 204, 2134, 3965, 1984, 2822, 22347, 460, 35130, 3883, 2134, 44463, 31947, 6472, 44823, 2134, 17902, 4562, 408, 8255, 1984, 2337, 6969, 408, 43, 204, 4081, 1984, 32669, 82, 854, 4472, 22, 38471, 1531, 3354, 4084, 5057, 408, 1254, 1789, 17490, 8075, 460, 23035, 21946, 2134, 3004, 568, 7712, 6201, 1833, 2815, 1984, 204, 3064, 1390, 1002, 5522, 36328, 408, 21946, 4126, 9145, 831, 14557, 408, 2134, 3004, 5057, 9145, 24, 32669, 204, 5651, 1984, 32669, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 34, 1003, 34382, 38, 2677, 38, 1189, 21946, 41825, 14557, 2642, 2653, 204, 24, 19896, 19193, 8275, 1984, 2891, 9317, 831, 38005, 2860, 23480, 45202, 27905, 27053, 1946, 2405, 9145, 460, 28696, 6619, 408, 8255, 1262, 32669, 8075, 568, 204, 25, 19896, 5768, 2114, 1984, 15019, 2359, 3235, 7741, 4241, 15944, 4129, 6599, 2338, 4241, 2638, 30868, 460, 36069, 6486, 568, 18, 24, 32669, 4241, 13489, 5651, 4129, 6599, 15603, 24, 32669, 20363, 4241, 13489, 408, 18, 2169, 32669, 725, 18, 2682, 32669, 2098, 1748, 568, 204, 26, 19896, 21948, 9107, 2807, 2677, 4286, 9107, 8275, 13573, 42684, 1490, 21948, 9107, 12682, 1398, 408, 9107, 25495, 22806, 2065, 9107, 4197, 22806, 2356, 2807, 2677, 59, 18240, 55, 2653, 204, 27, 19896, 3283, 10258, 3653, 4045, 226, 1984, 10732, 9358, 11152, 3429, 47403, 20222, 13155, 22, 1227, 13155, 23, 8185, 4438, 3491, 2114, 8418, 2499, 9014, 10272, 6366, 4045, 1789, 2359, 408, 39466, 23, 13155, 22, 18, 13155, 23, 1227, 23, 13155, 23, 18, 13155, 22, 11152, 28892, 1789, 2359, 19605, 3283, 10258, 3653, 4045, 1789, 2359, 408, 2336, 21946, 53, 24, 1227, 20222, 13155, 22, 2860, 13155, 23, 460, 21946, 2356, 2807, 6076, 3283, 10258, 3653, 4045, 30462, 50, 24, 568, 204, 5651, 50, 24, 34, 1003, 34382, 53, 24, 20, 53, 22, 2677, 32669, 72, 2653, 204, 28, 19896, 34191, 30462, 1984, 7931, 23197, 1189, 22171, 2868, 20620, 2807, 2065, 14981, 2868, 20620, 2807, 460, 2807, 5057, 408, 9414, 3865, 1191, 1971, 1189, 1789, 17490, 1550, 11501, 568, 8255, 1262, 32669, 568, 204, 29, 19896, 1107, 105, 1990, 2148, 1984, 1107, 105, 1990, 6128, 3491, 1757, 260, 2065, 14981, 6128, 3491, 1757, 260, 460, 21946, 2807, 408, 8255, 1262, 32669, 568, 204, 30, 19896, 31523, 2148, 1984, 2183, 16103, 2860, 20222, 26020, 12166, 1524, 6966, 6128, 3491, 1757, 260, 460, 21946, 2065, 3854, 942, 21946, 2356, 2807, 408, 8255, 32669, 568, 204, 1003, 19896, 2773, 3491, 4129, 6599, 2677, 32669, 42684, 4477, 2773, 3491, 2499, 1458, 10853, 21946, 6588, 9317, 831, 30608, 12927, 15860, 30868, 28186, 568, 7931, 5227, 2773, 3491, 44823, 30868, 12927, 7858, 2299, 3476, 42, 2065, 19238, 3359, 3841, 2098, 2114, 2773, 3491, 22897, 30868, 2299, 2299, 3476, 42, 21, 16858, 408, 1254, 21946, 26326, 9145, 460, 14557, 2642, 23197, 1189, 4129, 6599, 568, 48076, 34, 42, 23, 20, 42, 5559, 204, 1641, 19896, 2773, 3491, 12927, 5776, 1984, 854, 2773, 3491, 30868, 13934, 31690, 9107, 921, 17394, 9560, 34992, 10774, 568, 12927, 5776, 13489, 2148, 7931, 21252, 2453, 44885, 13489, 2148, 5651, 3064, 18454, 5057, 15603, 45134, 1398, 4004, 2615, 2405, 6496, 460, 22379, 7217, 568, 204, 1258, 19896, 2773, 3491, 39754, 2807, 1984, 4477, 18454, 3429, 3841, 4129, 6599, 2065, 18454, 5673, 3841, 4129, 6599, 2356, 2807, 408, 1262, 1789, 17490, 8075, 568, 204, 2353, 19896, 3579, 1505, 1984, 15851, 6076, 3579, 7741, 3579, 1505, 2366, 408, 5651, 3827, 1458, 3865, 25846, 28892, 408, 8185, 34261, 1227, 3921, 7573, 3865, 2098, 2822, 28892, 408, 6271, 3827, 1458, 7813, 5718, 3590, 408, 19605, 3579, 1505, 568, 204, 2300, 19896, 7161, 1505, 1984, 15851, 6076, 8684, 7741, 7161, 1505, 2366, 408, 5651, 3827, 1458, 3865, 11152, 5890, 28892, 408, 9198, 44220, 921, 1458, 5532, 20168, 22346, 26761, 18784, 460, 40227, 568, 3579, 1505, 725, 7161, 1505, 2402, 13430, 14117, 23819, 13423, 6478, 568, 204, 2314, 19896, 28696, 6619, 3708, 1984, 13, 26295, 30519, 14, 18371, 16506, 13489, 460, 7741, 6107, 26684, 11226, 2738, 8350, 1189, 9652, 725, 2336, 28696, 6619, 1227, 21817, 12599, 9438, 42419, 2065, 28892, 47952, 460, 2968, 2642, 460, 725, 3571, 41458, 34939, 38506, 5335, 7594, 8128, 408, 2336, 5757, 26793, 854, 12673, 27053, 1191, 20222, 25131, 725, 16841, 12599, 9438, 29257, 568, 204, 2132, 19896, 1107, 105, 1990, 3708, 1984, 3064, 2453, 5759, 26584, 1191, 33713, 1670, 6848, 20222, 460, 38005, 568, 6395, 1107, 105, 1990, 2148, 25131, 15856, 26, 19, 1003, 19, 1909, 19, 1036, 5013, 32669, 5890, 24134, 3058, 3064, 3354, 4640, 33713, 20222, 33985, 1251, 21946, 1107, 105, 1990, 3708, 2677, 7077, 60, 10412, 2336, 1107, 105, 1990, 2148, 1432, 3064, 2188, 99, 4452, 32669, 1191, 22851, 3058, 1107, 105, 1990, 18938, 41874, 1689, 7452, 51, 4684, 568, 204, 1794, 19896, 38671, 1984, 25911, 921, 9317, 831, 27053, 2677, 2278, 41825, 3708, 2653, 2860, 25361, 22171, 6128, 3491, 1757, 260, 408, 34261, 2134, 21946, 460, 3820, 20, 38005, 725, 23480, 2860, 16167, 3378, 19605, 38671, 568, 1603, 38671, 2570, 9219, 20458, 854, 12599, 9438, 29257, 1227, 2405, 1367, 31400, 460, 21946, 568, 204, 1036, 19896, 3716, 4138, 3708, 1984, 2678, 20222, 3579, 12927, 27905, 460, 38005, 568, 204, 3699, 19896, 4499, 41874, 1984, 5227, 5890, 34278, 27905, 3491, 6128, 3491, 23095, 460, 16167, 568, 204, 2898, 19896, 25734, 3491, 1984, 854, 27905, 1822, 7741, 24973, 460, 27905, 3491, 568, 204, 3787, 19896, 2773, 3491, 1984, 13, 608, 18115, 14, 854, 2499, 1822, 7741, 24973, 2860, 9107, 3883, 12554, 460, 23324, 3796, 7712, 1579, 31690, 9107, 2823, 3841, 8840, 12927, 1458, 10853, 27007, 2860, 5227, 13444, 7191, 12927, 460, 31690, 9107, 44545, 1189, 1822, 7741, 24973, 568, 204, 921, 12319, 10853, 7741, 23819, 1191, 408, 5757, 17168, 10971, 41687, 28892, 1984, 27905, 28892, 48791, 34261, 28892, 725, 1191, 7741, 1227, 3354, 4241, 28892, 568, 3354, 4241, 28892, 854, 25253, 4045, 2366, 41504, 20222, 28892, 568, 2253, 27406, 27905, 28892, 5385, 2807, 3354, 4241, 28892, 1822, 6049, 408, 44044, 7741, 23342, 10774, 854, 4589, 50, 14742, 1524, 5049, 44, 14742, 408, 5778, 20222, 7059, 22209, 1822, 7741, 1926, 3590, 27905, 460, 568, 39643, 408, 10853, 7741, 4769, 6472, 6371, 26503, 27905, 4045, 2366, 20222, 31952, 408, 17622, 921, 942, 37187, 20222, 1227, 12599, 5548, 20222, 64, 95, 23, 66, 20076, 408, 4296, 4769, 15289, 16492, 1254, 2570, 12690, 6658, 3921, 7573, 11026, 1254, 23368, 9884, 16262, 2148, 34261, 4045, 2366, 20222, 568, 12599, 5548, 20222, 39772, 20182, 1984, 4241, 2386, 12599, 5548, 20222, 1227, 4241, 2638, 12599, 5548, 20222, 568, 4241, 2638, 12599, 5548, 20222, 21252, 23034, 921, 20222, 7741, 23342, 18118, 460, 47952, 20222, 408, 14407, 3571, 22146, 26464, 27905, 3784, 25327, 5778, 20222, 568, 4241, 2386, 12599, 5548, 20222, 5385, 23034, 45411, 35821, 460, 20222, 7741, 23342, 46731, 408, 14407, 3571, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 40930, 26464, 27905, 3784, 921, 22146, 25911, 25327, 5778, 20222, 568, 6429, 26464, 23819, 17400, 408, 1345, 9850, 1773, 7307, 10853, 7741, 34261, 7340, 408, 36780, 16112, 14515, 1438, 20182, 12599, 5548, 20222, 568, 1191, 7741, 1689, 3944, 25253, 6385, 27905, 20, 12869, 28892, 1227, 3354, 4241, 28892, 460, 48856, 408, 2253, 7986, 27905, 6478, 25561, 5253, 2638, 7658, 8412, 19346, 568, 7931, 17400, 408, 4241, 2638, 12599, 5548, 20222, 2657, 3944, 2773, 3491, 1902, 4241, 460, 11530, 9107, 3708, 16112, 14515, 568, 2253, 1191, 7741, 460, 9358, 2678, 2780, 39054, 921, 20222, 3944, 20855, 1524, 3354, 4241, 28892, 2823, 3500, 11703, 6152, 12665, 2499, 4241, 2386, 12599, 5548, 20222, 11530, 5277, 568, 25986, 408, 921, 3921, 7573, 7594, 408, 1191, 7741, 2968, 3944, 25253, 11530, 5277, 7462, 3064, 3354, 4241, 25418, 1524, 1191, 7741, 5002, 9878, 5490, 25327, 35391, 5778, 1227, 34191, 568, 204, 7452, 5253, 2638, 7658, 43387, 12994, 11226, 7307, 7371, 854, 9092, 1191, 7741, 4736, 3411, 1550, 11153, 20222, 9255, 7858, 38005, 1377, 2642, 568, 7986, 7371, 5768, 921, 1191, 7741, 1603, 20222, 3590, 4736, 3411, 408, 26784, 921, 4736, 3411, 2426, 4239, 2499, 20222, 20855, 1524, 3354, 4241, 568, 921, 7238, 2587, 5253, 2638, 7658, 8412, 1191, 408, 47540, 7741, 1524, 3354, 4241, 460, 25418, 6614, 4485, 10971, 38005, 1984, 2183, 1843, 16570, 2738, 3716, 725, 7657, 3240, 4045, 3708, 2677, 10947, 7741, 3708, 2653, 1227, 7161, 3841, 39900, 2677, 29749, 18, 11703, 25418, 3708, 13349, 4945, 5768, 921, 1191, 7741, 3590, 4736, 3411, 408, 3878, 1438, 17718, 38005, 40550, 2822, 1822, 9760, 460, 39900, 1550, 40035, 568, 1438, 9555, 2657, 11219, 20222, 9255, 460, 17663, 13402, 408, 21649, 6960, 20222, 3240, 4045, 29677, 568, 204, 6878, 408, 4945, 921, 1926, 1490, 3354, 4241, 25418, 3708, 3362, 8706, 1262, 22876, 7657, 3240, 4045, 3708, 408, 23111, 11004, 6371, 5844, 23819, 8483, 568, 4945, 1367, 2678, 2183, 1843, 16570, 2738, 3716, 1227, 10853, 7741, 38005, 460, 16921, 2134, 22867, 2382, 408, 3354, 4241, 460, 44083, 6817, 4045, 5186, 1432, 2570, 2382, 1971, 568, 37229, 408, 3240, 4045, 18938, 2738, 2894, 22822, 7340, 2657, 16492, 6371, 18517, 460, 3276, 17096, 2738, 2894, 22822, 408, 1438, 2499, 11999, 20222, 3240, 4045, 1398, 408, 48360, 3841, 12577, 5057, 8221, 3796, 12515, 8085, 12776, 3796, 12515, 15208, 568, 10747, 408, 4945, 24159, 3865, 7657, 3240, 4045, 18938, 5718, 408, 3865, 2822, 6472, 4323, 2738, 2894, 34191, 460, 16570, 2738, 3716, 408, 20742, 11999, 3354, 4241, 22171, 20222, 460, 4323, 34191, 408, 11026, 7466, 8181, 2822, 5844, 2894, 19853, 4562, 13, 10159, 23215, 204, 5643, 39900, 35527, 12612, 12690, 28892, 1926, 3235, 408, 6271, 1191, 7741, 4736, 3411, 43387, 4413, 13573, 18744, 2807, 7238, 2587, 5253, 2638, 7658, 8412, 12612, 1822, 408, 2823, 7466, 2253, 12612, 31319, 11114, 408, 9536, 1191, 7741, 4736, 3411, 8412, 16257, 46347, 33243, 568, 8185, 5002, 10859, 408, 17280, 1191, 7741, 4736, 14942, 10853, 7741, 8412, 17793, 2498, 12924, 16742, 921, 14655, 4323, 7741, 8085, 1191, 7741, 460, 8706, 1262, 408, 24959, 6573, 7741, 6107, 1603, 9580, 19090, 39861, 568, 11448, 9768, 7821, 12261, 408, 20319, 40, 39903, 11485, 460, 26840, 408, 20215, 24701, 1822, 9760, 460, 38005, 1227, 27053, 25305, 12612, 4323, 408, 921, 1002, 7292, 460, 31783, 408, 1191, 7741, 4736, 3411, 8412, 2499, 22128, 13427, 31319, 11114, 25943, 568, 204, 921, 10853, 7741, 23819, 1191, 8706, 15727, 11463, 2587, 8412, 854, 9487, 25418, 8412, 568, 8185, 9487, 25418, 8412, 9487, 2499, 3354, 4241, 20222, 1227, 10853, 7741, 20222, 921, 25846, 31053, 1191, 20855, 23095, 408, 1438, 20215, 4296, 43387, 20222, 9255, 3928, 36666, 10344, 408, 4411, 2405, 33322, 3820, 38005, 2570, 4076, 568, 2065, 22146, 20182, 8412, 5890, 7360, 408, 4411, 2499, 25777, 1191, 7741, 6152, 1227, 6807, 12054, 9107, 2677, 4688, 60, 2653, 11530, 9107, 3708, 568, 204, 9487, 25418, 8412, 20230, 21577, 854, 1984, 7744, 28374, 725, 32170, 1971, 725, 4323, 4413, 13573, 408, 11026, 4265, 1191, 7741, 25418, 6326, 38005, 568, 6573, 21577, 20215, 7986, 8412, 6371, 12924, 921, 4323, 4413, 13573, 725, 5186, 18667, 2815, 25911, 460, 8706, 1262, 568, 21055, 15355, 408, 6462, 1822, 9760, 38005, 22204, 1189, 9487, 25418, 8412, 8706, 1262, 921, 22330, 4127, 19992, 1111, 12350, 2356, 3655, 568, 29167, 408, 25561, 6573, 1822, 9760, 38005, 22204, 408, 20215, 9487, 25418, 8412, 12165, 40520, 11808, 568, 204, 8185, 921, 9487, 25418, 8412, 1191, 4265, 1191, 7741, 6152, 30647, 408, 4241, 2386, 12599, 5548, 20222, 460, 21946, 2499, 9487, 26089, 1524, 10947, 7741, 3708, 1227, 4698, 2642, 25418, 3708, 2677, 4945, 20222, 9255, 33076, 24477, 4698, 2642, 25418, 3708, 13349, 4323, 34191, 460, 10947, 7741, 3708, 2499, 11999, 15733, 20222, 8221, 3944, 34191, 1227, 12599, 5548, 20222, 2405, 3274, 123, 3468, 568, 12994, 408, 8185, 10947, 7741, 3708, 6472, 12690, 22171, 19075, 11677, 1227, 41787, 6817, 4615, 408, 12599, 5548, 20222, 13006, 8221, 1811, 21982, 12319, 4769, 29432, 4045, 2366, 1524, 2780, 33322, 8360, 9107, 20222, 1390, 568, 204, 6429, 3354, 4241, 5253, 2638, 7658, 34261, 3708, 408, 4945, 46463, 1843, 16570, 2738, 3716, 1227, 10853, 7741, 14981, 9863, 9358, 26020, 16921, 2414, 3928, 408, 1970, 38343, 9014, 44083, 6817, 4045, 568, 6429, 1227, 10218, 14117, 23819, 4769, 21210, 460, 9163, 17576, 7741, 39876, 10853, 7741, 8706, 1262, 9184, 408, 28892, 460, 17576, 3796, 2499, 10379, 2183, 1843, 16570, 2738, 3716, 3928, 16921, 2134, 460, 13919, 408, 2823, 13406, 10379, 12319, 21103, 44083, 6817, 4045, 460, 17576, 3796, 568, 4945, 1345, 23042, 3429, 4411, 408, 48757, 45461, 31273, 2822, 44083, 6817, 4045, 460, 34984, 3716, 3928, 568, 21055, 15355, 408, 921, 16742, 25777, 17576, 7741, 460, 8706, 1262, 1191, 408, 2183, 1843, 16570, 2738, 3716, 460, 16921, 2134, 21002, 3796, 460, 408, 7466, 23156, 44083, 6817, 4045, 460, 34984, 15849, 39861, 568, 204, 921, 27905, 7594, 408, 8185, 7813, 8681, 11219, 4241, 2386, 34191, 1227, 6817, 4615, 408, 7452, 9487, 25418, 43387, 10853, 7741, 1458, 10853, 1843, 7965, 22244, 16742, 23156, 10774, 6650, 3820, 38005, 23247, 568, 204, 921, 3354, 4640, 29429, 8706, 1262, 1191, 408, 8185, 13630, 1227, 40897, 26326, 1345, 3944, 11736, 12198, 408, 9487, 25418, 8412, 14536, 3944, 3131, 2174, 568, 5643, 3064, 3354, 4640, 39552, 3131, 408, 4241, 2386, 12599, 5548, 20222, 21002, 34992, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2677, 35733, 3354, 4640, 3994, 2499, 6152, 4241, 2386, 12599, 5548, 20222, 10412, 6271, 408, 17622, 9487, 25418, 8412, 23832, 11530, 5277, 4241, 2386, 12599, 5548, 20222, 31952, 7059, 2657, 12869, 460, 568, 204, 14116, 408, 5768, 4805, 2587, 10853, 7741, 27053, 8412, 9302, 3571, 4127, 8706, 25253, 12391, 568, 6573, 14062, 26785, 13679, 7782, 1984, 3064, 4587, 1524, 3560, 9398, 4127, 15563, 725, 9580, 725, 48536, 725, 7340, 18543, 725, 9884, 23427, 725, 33124, 9163, 15916, 12145, 8706, 1262, 9674, 17062, 568, 8312, 12253, 2822, 13363, 460, 8706, 1262, 3601, 5768, 30933, 10853, 7741, 8412, 29726, 15489, 460, 10144, 10774, 46731, 568, 6878, 2657, 13636, 7360, 408, 17151, 6462, 10853, 7741, 38005, 35143, 6225, 2657, 4660, 8612, 12253, 10884, 3456, 1254, 9308, 2780, 4587, 30933, 10853, 7741, 4769, 408, 921, 12319, 8412, 26785, 9878, 408, 5299, 10961, 2657, 4660, 5523, 2894, 43786, 10378, 460, 26504, 1189, 2780, 10725, 12285, 3240, 30378, 568, 204, 921, 12319, 11082, 9878, 408, 2766, 1603, 6326, 3784, 7533, 2411, 48246, 408, 45541, 5216, 1367, 22413, 1971, 9898, 4587, 568, 8069, 6307, 9184, 408, 43290, 4587, 1191, 3865, 2822, 7474, 31319, 35887, 38005, 25485, 2657, 11219, 12319, 21103, 9580, 408, 7712, 28156, 2853, 408, 942, 8728, 921, 6462, 38005, 1390, 1689, 16294, 17754, 3380, 1789, 408, 15699, 12354, 1773, 28652, 18824, 14819, 22204, 4384, 568, 204, 28321, 27482, 17991, 854, 21946, 10822, 3708, 408, 4411, 2499, 1458, 10853, 1843, 9414, 25327, 1458, 10853, 21946, 2065, 17939, 5057, 2738, 7474, 1254, 21542, 9862, 40562, 1432, 31400, 460, 10774, 568, 8185, 1458, 10853, 20222, 8728, 1458, 10853, 1843, 7965, 3235, 921, 17388, 21946, 26684, 408, 40022, 9414, 5932, 18260, 40318, 27053, 4413, 13573, 8383, 17388, 17576, 3796, 408, 21946, 10822, 18938, 8418, 1970, 28560, 48956, 568, 2891, 25911, 460, 1458, 10853, 21946, 22944, 17939, 10774, 1398, 408, 3354, 4640, 46823, 22378, 3136, 20222, 408, 38228, 408, 4945, 25911, 460, 1458, 10853, 21946, 5253, 13733, 17939, 10774, 408, 3136, 20222, 12562, 46258, 9830, 4411, 2738, 25336, 460, 20222, 568, 204, 20062, 408, 3064, 4413, 13573, 39552, 14862, 408, 4945, 21103, 1458, 10853, 21946, 921, 17939, 10774, 12883, 7594, 408, 2499, 10379, 14655, 17156, 4769, 4413, 13573, 408, 2823, 13406, 11219, 14819, 22204, 18031, 408, 46670, 4769, 16192, 4525, 6960, 1458, 10853, 21946, 1550, 38517, 7292, 4838, 7512, 1262, 568, 1970, 7931, 5661, 17400, 408, 38005, 460, 1458, 10853, 21946, 5216, 25652, 17939, 10774, 460, 4323, 7594, 408, 14819, 22204, 4562, 1970, 45940, 568, 4945, 1345, 34381, 3675, 38005, 460, 1458, 10853, 21946, 41977, 921, 17939, 10774, 460, 4323, 7594, 408, 1970, 7965, 20189, 6371, 9884, 16262, 460, 21946, 10822, 3708, 1550, 9632, 1458, 10853, 21946, 8221, 17236, 1670, 17939, 1390, 1432, 12869, 460, 21946, 10774, 408, 7466, 408, 921, 4323, 1458, 10853, 21946, 2677, 20780, 4323, 4413, 13573, 2653, 2065, 1822, 9884, 16262, 17096, 21946, 10822, 3708, 9863, 9358, 2822, 14650, 1191, 568, 204, 17280, 1603, 2642, 460, 21946, 10822, 3708, 19511, 6371, 13489, 460, 23156, 26684, 4660, 1822, 4484, 17096, 21946, 10822, 408, 2336, 19769, 19751, 13006, 2657, 854, 21946, 921, 17754, 18492, 16517, 460, 15733, 20222, 408, 15289, 854, 21946, 921, 16517, 30409, 3476, 20222, 568, 921, 21210, 1638, 26464, 5556, 5621, 8128, 6770, 13, 2934, 23, 19, 1641, 14, 2860, 37316, 5605, 26464, 13489, 7741, 31282, 6462, 26464, 23819, 6770, 1926, 408, 20222, 6764, 14669, 5057, 2807, 4562, 460, 17576, 3796, 40318, 17280, 1603, 2642, 460, 21946, 10822, 18938, 9884, 16262, 2148, 15603, 568, 8069, 6307, 9184, 408, 2891, 25911, 3064, 4323, 25598, 29748, 4562, 2677, 13210, 1390, 8360, 2822, 12674, 41576, 5452, 2653, 27683, 1524, 12690, 5778, 29748, 4562, 2677, 13210, 21289, 2822, 9138, 42322, 33807, 1227, 8085, 20550, 27063, 2653, 1398, 408, 5778, 29748, 4562, 460, 23156, 10005, 1227, 4045, 2366, 32464, 2499, 10379, 20222, 6764, 14669, 5057, 2807, 4562, 460, 17576, 3796, 408, 34831, 408, 17280, 1603, 2642, 460, 21946, 10822, 3708, 20742, 2807, 13154, 5661, 1689, 2860, 4076, 1773, 10822, 1524, 1458, 10853, 21946, 3058, 4945, 13406, 10822, 35752, 43944, 408, 12562, 47292, 4769, 9190, 11219, 1458, 10853, 21946, 408, 21145, 9414, 21946, 22944, 17939, 21946, 10774, 460, 1926, 4907, 408, 12319, 23819, 20742, 3944, 20820, 1191, 5548, 568, 204, 6429, 25009, 27764, 8706, 1262, 9184, 408, 6764, 1740, 5062, 13, 37633, 14, 21946, 10822, 3708, 20195, 20903, 568, 6764, 1740, 5062, 21946, 10822, 3708, 9555, 2657, 3235, 921, 2675, 13489, 460, 23156, 26684, 408, 2778, 19511, 5778, 29748, 4562, 17576, 3796, 20076, 18517, 1773, 10822, 25258, 10853, 21946, 568, 11448, 408, 6472, 18824, 13489, 460, 23156, 10774, 460, 6764, 1740, 5062, 21946, 10822, 3708, 2807, 17280, 1603, 2642, 460, 21946, 10822, 3708, 1345, 24378, 6226, 11114, 6462, 408, 7466, 408, 921, 7744, 1227, 9760, 1390, 18824, 9358, 2822, 14650, 1191, 568, 4945, 9898, 8706, 1262, 25777, 48644, 25458, 408, 8465, 2822, 17280, 1603, 2642, 460, 21946, 10822, 3708, 8085, 2822, 3976, 39757, 23156, 10774, 460, 6764, 1740, 5062, 21946, 10822, 3708, 31567, 7678, 2766, 5368, 8550, 25943, 568, 204, 6429, 5186, 18667, 2815, 25911, 460, 8706, 1262, 408, 38005, 20496, 45246, 854, 4587, 1398, 1345, 11736, 12198, 460, 13679, 568, 8185, 10272, 10853, 7741, 8706, 1262, 7678, 921, 5186, 18667, 2815, 3560, 8437, 408, 24457, 11095, 2453, 1398, 2968, 5659, 10272, 12145, 10458, 3589, 9674, 568, 5216, 20665, 10458, 3589, 29613, 20813, 10513, 12690, 9760, 5659, 408, 2780, 7965, 8915, 2891, 10458, 3589, 20496, 2382, 1524, 7191, 13402, 8728, 408, 24457, 5186, 33903, 24938, 568, 8185, 10458, 3589, 20496, 12612, 2382, 408, 2891, 24457, 3235, 921, 1458, 10853, 9674, 8728, 408, 24457, 460, 31600, 20742, 12612, 16553, 568, 1189, 7533, 4740, 31441, 408, 10272, 20665, 10458, 3589, 29613, 3865, 31600, 5349, 1254, 6619, 2382, 24457, 22483, 12599, 9438, 568, 4411, 10880, 831, 22058, 2575, 12977, 1227, 17552, 17552, 7080, 5784, 32476, 2638, 18629, 1262, 1254, 8792, 24457, 568, 204, 33540, 12391, 4587, 18992, 7340, 4698, 3875, 8728, 408, 16192, 18830, 12198, 9898, 4587, 13406, 2499, 8706, 1262, 921, 15772, 10853, 7741, 8437, 568, 8069, 6307, 9184, 408, 2766, 25485, 4485, 1189, 9898, 6631, 4660, 28368, 17280, 27008, 28892, 460, 10853, 7741, 23819, 4769, 568, 34240, 4587, 2822, 10853, 7741, 23819, 21103, 17663, 13402, 408, 36666, 942, 3178, 20244, 854, 4239, 25779, 2822, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8706, 1262, 25365, 6878, 2657, 3500, 10272, 19293, 2114, 26790, 2677, 13210, 9163, 15916, 28892, 2653, 460, 10853, 7741, 23819, 4769, 568, 4945, 1262, 7986, 7371, 408, 2766, 38006, 1262, 31007, 15563, 3601, 10366, 2822, 1432, 15727, 10853, 7741, 23819, 4769, 408, 11026, 2657, 18287, 1670, 8376, 15563, 3601, 2370, 9135, 16742, 12253, 9216, 7624, 19864, 568, 204, 8069, 1377, 39252, 408, 2822, 10774, 921, 44083, 1524, 1003, 44, 14742, 460, 21946, 10822, 3708, 2657, 19147, 9198, 26464, 6770, 568, 4945, 3865, 10513, 35606, 725, 10513, 10427, 2677, 14407, 1603, 11338, 10427, 2653, 12883, 6658, 38005, 408, 2253, 24805, 8706, 1262, 5851, 25777, 16497, 12690, 25458, 1227, 30699, 408, 1438, 31567, 1456, 9145, 26785, 9580, 568, 34381, 1773, 3865, 3579, 1377, 38005, 25485, 2657, 11583, 16776, 4345, 22146, 6848, 460, 3558, 3632, 11026, 8481, 942, 16009, 9396, 568, 34831, 408, 9189, 5490, 37445, 3064, 4587, 1524, 3560, 15312, 15563, 568, 204, 19068, 1345, 12198, 921, 9898, 4587, 1191, 31273, 10853, 7741, 3784, 408, 2766, 13894, 4485, 46117, 18951, 1773, 12391, 2822, 7307, 10853, 7741, 42345, 8412, 568, 921, 13406, 12391, 4769, 8412, 2426, 408, 7965, 34010, 12198, 9898, 11095, 2453, 24486, 8706, 1262, 408, 11026, 1345, 34240, 9768, 37525, 4287, 8350, 408, 6462, 9138, 10853, 7741, 7340, 2499, 3944, 5659, 921, 9898, 3560, 1191, 7307, 568, 204, 10853, 7741, 5277, 46888, 13427, 4438, 17144, 2739, 28271, 9276, 6478, 408, 47402, 2822, 36666, 5137, 408, 2570, 942, 8483, 25827, 3965, 3601, 46888, 7371, 11104, 568, 204, 10853, 7741, 5277, 46888, 460, 24089, 854, 1984, 10853, 7741, 9107, 12744, 9057, 2949, 8010, 3354, 7386, 26829, 5944, 19595, 460, 13464, 8701, 408, 2678, 4615, 8010, 5784, 9352, 3854, 20064, 20706, 4228, 4656, 17145, 18, 4452, 45022, 9352, 3854, 20064, 45034, 408, 2678, 10090, 1030, 255, 460, 15812, 46888, 15011, 3944, 6969, 8936, 408, 13225, 9518, 39901, 3601, 46888, 30726, 568, 204, 12453, 22, 1984, 17548, 408, 14066, 16325, 408, 10853, 7741, 5277, 46888, 1367, 8681, 22960, 9352, 3854, 23458, 226, 43846, 408, 8936, 5584, 37737, 725, 11153, 46888, 15011, 408, 9276, 1946, 21102, 2148, 26200, 568, 204, 12453, 23, 1984, 5137, 408, 10853, 7741, 5277, 46888, 4769, 1367, 8792, 2949, 8010, 5784, 408, 9518, 5651, 5137, 5851, 17548, 460, 21102, 8483, 408, 2807, 22146, 4438, 17144, 2739, 28271, 9276, 32536, 28318, 568, 14464, 408, 9276, 1946, 4265, 17361, 2849, 408, 10914, 2657, 21732, 17361, 16392, 1531, 4299, 408, 6722, 25129, 22146, 9276, 1946, 2405, 7965, 460, 39196, 568, 204, 12453, 24, 1984, 3617, 10364, 408, 9276, 1946, 408, 2781, 1951, 19166, 9352, 3854, 23458, 10852, 37548, 8241, 9014, 408, 15812, 45353, 13604, 942, 16841, 568, 5017, 23804, 25, 3217, 27, 14881, 13620, 9518, 10513, 25190, 408, 19109, 21102, 27257, 568, 204, 10853, 7741, 22378, 3784, 6766, 2336, 7452, 460, 28892, 5890, 43724, 4323, 7741, 4769, 1227, 1822, 7741, 4769, 40334, 4044, 3058, 6606, 9855, 27125, 2386, 9862, 3589, 942, 14819, 1189, 2336, 38983, 408, 5851, 1432, 26508, 15856, 942, 4152, 4769, 1227, 3079, 4152, 4769, 40334, 4044, 3058, 3064, 9855, 27125, 2386, 28540, 23532, 42656, 16229, 1432, 26508, 15856, 5601, 2006, 27053, 42304, 2815, 725, 10435, 942, 3491, 4667, 8356, 2815, 1227, 10435, 26464, 4667, 8356, 2815, 29084, 4044, 3058, 6606, 7799, 4472, 9855, 27125, 5778, 20236, 7307, 21137, 408, 1432, 26508, 15856, 34868, 1458, 10853, 2815, 725, 14557, 7741, 2815, 1227, 48352, 4045, 2366, 2815, 29084, 4044, 568, 204, 22, 19896, 4323, 7741, 4769, 7931, 4477, 2336, 3235, 28892, 33494, 2188, 50, 14742, 408, 37721, 13423, 28892, 942, 1984, 11165, 48, 14742, 725, 18932, 48, 14742, 725, 2353, 19, 7525, 50, 14742, 1955, 408, 6573, 7741, 2615, 8706, 15727, 10853, 7741, 22378, 4769, 7931, 13391, 26692, 7764, 6770, 31158, 9163, 568, 2336, 9219, 12453, 854, 9855, 27125, 460, 9580, 26900, 725, 27125, 2386, 28540, 25598, 2359, 46870, 725, 16759, 15932, 3976, 8552, 2677, 3079, 4152, 5661, 408, 37721, 16759, 15932, 1189, 1003, 3912, 2653, 9855, 27125, 48536, 25689, 2677, 8494, 6213, 725, 3716, 6213, 725, 35040, 19185, 6213, 725, 12495, 6213, 17172, 16759, 2773, 3491, 12927, 2114, 1002, 3476, 1955, 568, 204, 23, 19896, 1822, 7741, 4769, 7931, 4477, 2336, 3235, 28892, 29228, 6386, 50, 14742, 408, 37721, 13423, 7741, 6107, 942, 1984, 30, 1909, 50, 14742, 725, 2500, 1719, 50, 14742, 725, 8667, 473, 50, 14742, 1955, 568, 1822, 7741, 4769, 921, 6573, 7741, 6107, 1390, 12693, 6050, 14818, 7764, 6770, 31158, 9163, 568, 1822, 7741, 21103, 9219, 12453, 854, 9855, 27125, 2338, 16759, 3708, 9580, 6764, 26200, 725, 27125, 2386, 28540, 25598, 2359, 24431, 725, 16759, 15932, 3976, 7292, 2677, 37704, 5523, 6377, 4228, 4515, 5523, 6377, 10412, 19293, 44463, 19495, 11618, 9760, 2174, 725, 48536, 7931, 1189, 8494, 6213, 725, 16759, 2773, 3491, 2338, 9855, 27125, 2773, 3491, 6764, 942, 47635, 12927, 2114, 568, 204, 24, 19896, 942, 4152, 9855, 27125, 2386, 3589, 942, 14819, 408, 7931, 6472, 3976, 7292, 460, 16759, 15932, 408, 17249, 33105, 854, 14819, 460, 18031, 7898, 2677, 24, 99, 1003, 1565, 34509, 3079, 4152, 9855, 27125, 2386, 3079, 14819, 408, 4411, 3190, 26761, 16759, 3708, 2677, 7799, 1670, 16167, 2653, 1458, 13934, 6226, 9107, 20222, 1946, 408, 2499, 6848, 6226, 9107, 23324, 47703, 44083, 2134, 3608, 3994, 3235, 408, 7931, 1432, 16492, 6722, 13833, 568, 16858, 942, 4152, 4769, 408, 3079, 4152, 4769, 921, 16759, 15932, 2338, 19293, 44463, 11618, 13587, 5949, 8481, 7898, 2366, 568, 204, 22, 19896, 27125, 13, 10833, 408, 5651, 10853, 7741, 8494, 14, 1984, 3571, 1107, 105, 1990, 34939, 2338, 24457, 13387, 408, 27125, 24477, 48773, 2773, 3491, 408, 8777, 1227, 10853, 7741, 2773, 3491, 2436, 3590, 23819, 568, 204, 23, 19896, 16759, 3708, 1984, 7799, 4472, 13, 921, 7799, 8356, 8494, 1191, 21649, 8356, 2739, 14, 27125, 39151, 5259, 568, 204, 24, 19896, 2773, 3491, 1984, 921, 27125, 1227, 7799, 4472, 3708, 2436, 26089, 10853, 7741, 20222, 568, 204, 13764, 4769, 2778, 4525, 16759, 18938, 14841, 33762, 2860, 14841, 25562, 31819, 2065, 26323, 22776, 13, 1390, 2894, 1843, 2453, 4769, 14, 6128, 3491, 408, 3590, 5778, 29748, 568, 204, 21103, 9219, 3235, 15159, 854, 1984, 16759, 3708, 4525, 1458, 10853, 2773, 3491, 3921, 7573, 7191, 28892, 460, 10853, 7741, 20222, 408, 2891, 10853, 7741, 8494, 9398, 1458, 10853, 2773, 3491, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3235, 12399, 1398, 9014, 42341, 24973, 408, 10853, 7741, 8494, 8181, 23324, 3944, 8626, 3227, 3058, 10853, 7741, 8494, 2499, 13353, 7939, 9019, 1955, 5452, 4525, 8494, 48773, 3921, 7573, 2773, 3491, 3921, 7573, 27007, 3058, 4769, 34261, 2773, 3491, 3190, 26761, 3064, 10853, 7741, 8494, 3921, 7573, 8398, 8360, 9107, 20222, 408, 2056, 2773, 3491, 20597, 3708, 3921, 43934, 16759, 3708, 408, 16759, 3708, 32099, 3827, 460, 20222, 3590, 3240, 4045, 1227, 3240, 9019, 11012, 43934, 1946, 3863, 2453, 4769, 3590, 6326, 6152, 3058, 2453, 4769, 6606, 28718, 3523, 6201, 21542, 4296, 8494, 460, 27279, 2114, 408, 12253, 12145, 27016, 21306, 26692, 6152, 1227, 7780, 408, 27834, 4477, 9960, 20222, 7780, 12023, 7436, 21826, 568, 204, 921, 1107, 105, 1990, 6478, 13, 2134, 3602, 18, 31690, 27064, 23819, 15159, 13, 35036, 61, 725, 16521, 61, 725, 43614, 27064, 3064, 10853, 7741, 8494, 1524, 16759, 18938, 5778, 27905, 7371, 13, 38671, 4045, 2366, 725, 5673, 3841, 10633, 10853, 725, 1822, 3183, 25719, 9107, 14, 5958, 28892, 10774, 24170, 408, 12145, 4438, 16081, 27905, 7371, 942, 19737, 460, 24627, 408, 3038, 22610, 16759, 3708, 921, 7340, 24089, 1390, 408, 5958, 31576, 12391, 19864, 41136, 1390, 33628, 35458, 408, 7462, 16759, 3708, 44365, 48928, 1189, 1822, 7741, 31819, 1227, 7780, 30647, 11152, 9219, 4698, 3875, 568, 1822, 7741, 31819, 17168, 3921, 7573, 3708, 1227, 34261, 3708, 408, 2336, 7340, 7782, 1984, 9014, 1822, 7741, 1458, 10853, 21946, 1254, 17359, 10853, 7741, 8494, 2823, 4660, 23324, 3058, 1603, 1458, 10853, 20222, 3590, 4045, 2366, 408, 8777, 2499, 5778, 3921, 7573, 4264, 10853, 7741, 8494, 3058, 34261, 2823, 3240, 4045, 13444, 10853, 7741, 8494, 12883, 7741, 20222, 568, 5890, 10853, 7741, 22378, 4769, 12883, 7741, 31819, 4587, 6472, 6462, 22074, 408, 2134, 3602, 1107, 105, 1990, 4769, 12883, 7741, 31819, 24089, 5776, 2278, 5776, 22, 2405, 4095, 568, 204, 10853, 7741, 22378, 21103, 7799, 8356, 15932, 11691, 2675, 10644, 460, 22440, 568, 2564, 15932, 10853, 7741, 22378, 21103, 7744, 2778, 2675, 11114, 408, 7466, 20294, 6960, 2336, 7799, 8356, 15932, 20244, 44544, 568, 6290, 10853, 7741, 8494, 7799, 8356, 15932, 460, 13679, 7782, 2773, 3491, 3235, 28892, 725, 16759, 18938, 12730, 22171, 21946, 725, 16759, 18938, 34261, 9884, 16262, 2148, 725, 10853, 7741, 8494, 460, 4413, 13573, 725, 2773, 3491, 2338, 25719, 16103, 27053, 460, 54, 5057, 725, 2773, 3491, 12927, 725, 16759, 3708, 1227, 10853, 7741, 8494, 460, 1107, 105, 1990, 2148, 408, 5958, 10853, 7741, 8494, 16785, 8181, 460, 23324, 2338, 3921, 7573, 39151, 23324, 1955, 568, 19759, 21103, 7799, 4472, 15932, 1227, 8356, 2739, 15932, 854, 12145, 408, 8356, 2739, 15932, 29165, 854, 7799, 4472, 15932, 460, 2169, 10, 18889, 2934, 12899, 204, 7452, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 8681, 12522, 21220, 16043, 34073, 3407, 725, 4276, 16043, 4472, 3407, 1955, 5661, 408, 12522, 12271, 5932, 408, 14947, 11932, 408, 12522, 30038, 408, 29889, 13201, 408, 16354, 8846, 4664, 16237, 408, 12522, 8824, 1843, 408, 6960, 19989, 44469, 568, 204, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 408, 22244, 2134, 3965, 2815, 3407, 2894, 27052, 20236, 3654, 2253, 8398, 408, 854, 2134, 3965, 28271, 14609, 7720, 408, 16118, 6722, 40078, 1902, 4772, 4084, 725, 18724, 29608, 725, 23267, 17233, 42456, 568, 204, 10853, 7741, 5651, 1822, 7741, 2134, 9107, 408, 3883, 9603, 1189, 12599, 9438, 460, 13956, 2642, 408, 17168, 12599, 2114, 725, 3965, 2114, 2338, 3602, 2114, 3283, 6848, 408, 24872, 19605, 28555, 16864, 13826, 18907, 19, 24057, 12730, 19, 204, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 4525, 10565, 4684, 2453, 2134, 5881, 2065, 41398, 8792, 5881, 9863, 1458, 10853, 2822, 31690, 2299, 408, 42341, 10565, 4684, 2453, 2134, 5881, 23992, 3883, 9603, 5057, 32464, 408, 2891, 25314, 4882, 9830, 6231, 3197, 107, 10794, 408, 3883, 9603, 5057, 8383, 11679, 408, 9855, 4698, 3875, 42341, 1524, 4296, 27052, 2615, 20222, 408, 408, 22171, 26692, 27052, 2359, 30166, 20222, 568, 204, 6606, 12145, 8706, 1262, 1505, 4846, 408, 43724, 6770, 3622, 725, 2494, 8360, 3622, 2338, 20281, 3622, 32613, 3058, 204, 6606, 12145, 10166, 6478, 2338, 36873, 6478, 408, 43724, 16902, 2815, 11220, 2419, 3622, 725, 22800, 2815, 11220, 2419, 3622, 2338, 1789, 2006, 2815, 1955, 568, 204, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 9813, 15916, 10001, 2338, 28216, 1254, 11572, 5890, 1505, 4846, 460, 8706, 1262, 1984, 204, 22, 2653, 7931, 14451, 1505, 4846, 8706, 1262, 408, 1432, 5768, 6770, 3622, 12730, 24, 2051, 10001, 408, 9195, 11436, 1511, 3520, 408, 9195, 20281, 19620, 45022, 2278, 16761, 13863, 725, 16761, 10398, 725, 9098, 14648, 16761, 725, 14648, 9098, 725, 1999, 9098, 725, 38042, 725, 32476, 22764, 725, 18157, 14198, 725, 29619, 9098, 725, 11859, 9098, 1955, 3058, 204, 23, 2653, 1822, 11648, 38671, 1505, 4846, 8706, 1262, 408, 1432, 5768, 2494, 8360, 3622, 12730, 2177, 473, 10001, 408, 9195, 11436, 1511, 3520, 408, 9195, 20281, 19620, 45022, 9438, 11648, 38671, 4144, 26, 1511, 51, 82, 11, 3276, 51, 82, 2860, 2169, 80, 51, 408, 2278, 3854, 14648, 725, 11859, 6633, 725, 8410, 9098, 725, 18583, 9098, 2338, 18244, 1822, 26326, 8767, 3407, 1227, 9098, 3407, 1955, 3058, 204, 24, 2653, 20281, 38098, 8706, 1262, 408, 1432, 5768, 20281, 3622, 12730, 3268, 473, 10001, 408, 9195, 20281, 4144, 16, 4589, 45022, 2278, 23510, 6638, 460, 10269, 105, 8188, 1843, 16761, 13863, 725, 2134, 6638, 460, 5368, 14648, 3708, 16761, 13863, 725, 30944, 6638, 1822, 16276, 16761, 725, 14648, 21544, 20281, 14648, 9098, 725, 15414, 1971, 6638, 15414, 9098, 3058, 204, 25, 2653, 19147, 20635, 38098, 1505, 4846, 408, 4660, 8612, 40408, 12554, 3608, 5768, 1984, 2183, 2857, 3622, 1257, 408, 11613, 13172, 3622, 73, 408, 4129, 2857, 3622, 285, 3058, 204, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 8706, 1262, 13191, 408, 18026, 19147, 22610, 37685, 3407, 2894, 19769, 568, 2278, 14648, 16043, 3407, 2894, 27052, 725, 27198, 14648, 27052, 725, 27305, 3407, 13863, 725, 6796, 14648, 13863, 725, 5368, 14648, 3708, 16761, 13863, 725, 10269, 105, 8188, 1843, 16761, 13863, 725, 1822, 16276, 16761, 725, 1822, 16276, 11859, 23263, 725, 15414, 20660, 725, 15414, 14648, 725, 15414, 9098, 725, 32942, 20064, 725, 32942, 29908, 725, 32942, 32476, 725, 11611, 38042, 725, 23510, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 33594, 725, 3489, 9826, 31309, 725, 47502, 725, 11932, 35217, 1955, 44365, 8706, 1262, 568, 204, 7931, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 408, 3833, 16785, 19769, 24089, 460, 18639, 408, 2336, 3656, 3622, 1398, 40020, 12191, 21131, 1984, 204, 22, 2653, 7813, 19147, 7169, 2134, 2968, 2642, 9216, 41787, 25314, 408, 7931, 11516, 41, 48, 17823, 22, 19, 26, 408, 10732, 22944, 22, 19, 26, 408, 3035, 7530, 1490, 12907, 32, 204, 23, 2653, 7813, 8706, 8777, 25314, 9620, 13443, 35353, 1505, 4846, 408, 11516, 10166, 1398, 10268, 2110, 25314, 9620, 13443, 3058, 204, 24, 2653, 7813, 19769, 11020, 6213, 2654, 3058, 204, 25, 2653, 6606, 12145, 25314, 26326, 408, 5768, 12145, 36873, 6478, 2338, 8792, 6478, 3058, 204, 26, 2653, 7965, 4660, 31186, 1505, 4846, 5452, 408, 7782, 40408, 17483, 725, 11338, 725, 11436, 725, 3407, 16043, 20496, 8412, 1955, 6949, 408, 29140, 5768, 30933, 28216, 568, 204, 23, 2653, 19888, 26785, 18724, 29608, 3784, 408, 8681, 12522, 38784, 725, 13769, 13004, 15865, 3407, 49077, 37187, 3058, 204, 24, 2653, 24068, 24241, 6003, 5645, 408, 11583, 11613, 8807, 38784, 9398, 408, 19147, 30533, 10166, 3058, 204, 25, 2653, 7657, 3622, 1902, 4772, 4084, 725, 1902, 29306, 3784, 3058, 204, 27, 2653, 3049, 4795, 35166, 38983, 22806, 41485, 408, 12749, 44083, 38983, 9190, 42689, 3058, 3699, 1047, 24179, 42847, 20, 15223, 226, 9025, 25361, 7838, 17374, 22171, 3058, 204, 28, 2653, 1902, 4241, 39075, 40050, 408, 1432, 10222, 10565, 4852, 1398, 9414, 2134, 3965, 5057, 408, 35606, 27016, 27052, 2615, 3058, 38019, 20222, 22171, 12682, 2338, 1902, 29306, 5452, 3058, 204, 29, 2653, 9195, 31683, 4144, 18, 2169, 17145, 3058, 9195, 20281, 4144, 4589, 17145, 3058, 9195, 24066, 4144, 2500, 3520, 3058, 20281, 40408, 3622, 1432, 9195, 4837, 25, 2985, 17145, 3058, 204, 4664, 12730, 1701, 14687, 6049, 2774, 2402, 7452, 7413, 6770, 408, 7764, 1390, 29897, 16792, 40735, 568, 25612, 2132, 31963, 52, 568, 8706, 1262, 35092, 7360, 25612, 2300, 40079, 1227, 25612, 32037, 7723, 408, 44589, 6770, 2402, 3571, 24849, 21817, 725, 10853, 7741, 21946, 1227, 20222, 31819, 725, 7961, 5407, 46865, 5673, 39634, 5958, 27905, 6278, 2093, 5335, 6848, 13387, 568, 204, 11698, 5890, 2411, 6478, 408, 10853, 7741, 8494, 942, 10971, 41687, 19859, 1984, 204, 22, 19896, 6395, 38983, 6478, 15856, 942, 4152, 8494, 1227, 3079, 4152, 8494, 568, 942, 4152, 21252, 8494, 2386, 942, 14819, 4660, 21834, 408, 2336, 8418, 15932, 3976, 7292, 408, 3038, 18031, 7898, 725, 32534, 24431, 725, 9580, 1822, 408, 5017, 1002, 12924, 921, 16233, 27657, 44721, 3235, 3058, 3079, 4152, 8494, 2386, 3079, 14819, 408, 4411, 9092, 9107, 12875, 38983, 3784, 2499, 34261, 22401, 10853, 7741, 23324, 47703, 44083, 21834, 1189, 8494, 2386, 27053, 38983, 408, 2336, 8418, 15932, 14655, 942, 4152, 8494, 8552, 408, 3038, 18031, 2564, 5017, 1603, 3235, 5932, 5659, 42237, 568, 204, 23, 19896, 6395, 8360, 9107, 28892, 15856, 4323, 7741, 10853, 7741, 8494, 725, 1191, 7741, 10853, 7741, 8494, 1227, 1822, 7741, 10853, 7741, 8494, 568, 4323, 7741, 10853, 7741, 8494, 39772, 11165, 80, 14742, 1227, 30303, 19, 23, 80, 14742, 20182, 408, 1191, 7741, 10853, 7741, 8494, 28892, 5757, 1189, 2353, 19, 7525, 50, 14742, 408, 1822, 7741, 10853, 7741, 8494, 5757, 1189, 25, 3268, 50, 14742, 725, 30, 1909, 50, 14742, 725, 23, 19, 2985, 44, 14742, 725, 26, 19, 29, 44, 14742, 1955, 568, 4323, 7741, 4769, 41907, 8552, 15932, 725, 4323, 9580, 460, 8706, 1262, 1191, 408, 2278, 31386, 460, 3655, 13739, 7780, 725, 24358, 8494, 725, 22118, 15912, 725, 31940, 33736, 1955, 568, 1191, 7741, 4769, 8777, 3655, 13739, 7780, 1227, 3035, 3921, 7573, 17087, 41504, 8706, 1262, 4769, 3058, 1822, 7741, 4769, 8706, 8777, 4485, 3976, 24249, 7799, 8356, 15932, 1227, 1822, 7799, 8356, 13587, 460, 38098, 408, 2336, 2773, 3491, 9107, 12875, 12927, 3976, 39757, 5017, 7744, 26200, 408, 921, 46081, 21283, 725, 45838, 25232, 1955, 45461, 8706, 1262, 568, 204, 24, 19896, 6395, 4045, 2366, 6478, 39649, 43724, 18724, 2815, 1227, 3944, 1871, 2815, 568, 18724, 2815, 10853, 7741, 8494, 1262, 29159, 10853, 7741, 23324, 18724, 1773, 3921, 7573, 5778, 4264, 7799, 8356, 3708, 3058, 3944, 1871, 2815, 10853, 7741, 8494, 3865, 4045, 2366, 10633, 10853, 6478, 1458, 10853, 5778, 408, 4411, 7965, 9092, 7799, 8356, 18938, 8360, 9107, 1550, 4045, 2366, 7413, 20222, 408, 4296, 4044, 3784, 12924, 1262, 921, 3655, 13739, 2860, 11559, 8706, 1262, 1191, 408, 5643, 7799, 8356, 3708, 2657, 11999, 3879, 8626, 3227, 7191, 10774, 2356, 15944, 10853, 7741, 8494, 568, 921, 942, 29519, 2654, 20076, 408, 1262, 4045, 2366, 10633, 10853, 6478, 408, 7799, 8356, 18938, 23324, 7965, 1550, 3601, 12744, 1811, 29519, 2654, 36777, 568, 2253, 18724, 6478, 460, 10853, 7741, 8494, 1458, 10853, 460, 20222, 6055, 12744, 1811, 29519, 2654, 11329, 408, 7466, 18724, 6478, 18896, 10853, 7741, 8494, 41907, 942, 29519, 17891, 8706, 1262, 1191, 408, 15932, 2498, 7292, 13, 37704, 2188, 6377, 23215, 204, 25, 19896, 6395, 8418, 15932, 43724, 6730, 1107, 105, 1990, 8494, 13, 8418, 15932, 33494, 22, 43176, 27064, 4838, 1107, 105, 1990, 8494, 13, 8418, 15932, 33494, 1909, 43176, 27064, 25708, 1107, 105, 1990, 8494, 13, 8418, 15932, 5727, 22, 6377, 14, 1227, 7292, 15932, 8494, 13, 8418, 15932, 3064, 22, 6377, 1524, 1003, 6377, 408, 10961, 2498, 7292, 23215, 204, 26, 19896, 6395, 24457, 15856, 3879, 7799, 8494, 725, 7799, 8356, 8494, 1227, 22990, 8494, 568, 204, 10853, 7741, 22378, 408, 12730, 1701, 2677, 28555, 16864, 45776, 2653, 3784, 408, 5851, 6076, 26464, 10853, 7741, 22378, 408, 13427, 23819, 3784, 408, 1432, 4525, 26464, 2134, 10231, 5485, 22378, 31183, 10211, 2823, 7799, 8356, 6326, 5778, 408, 2253, 28081, 22378, 4769, 2065, 31183, 10211, 9863, 10366, 11648, 2860, 4402, 1674, 16081, 568, 0, 647, 1875, 204, 647, 11444, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 14076, 17, 783, 17, 1535, 204, 531, 37228, 532, 31709, 204, 204, 531, 309, 4434, 68, 15083, 68, 481, 806, 809, 532, 906, 1655, 204, 531, 309, 4434, 68, 15083, 68, 481, 806, 15083, 68, 19421, 532, 906, 37618, 17560, 204, 531, 309, 4434, 68, 15083, 68, 481, 19, 1618, 19, 15083, 68, 6008, 68, 932, 532, 30418, 9240, 2191, 204, 531, 309, 4434, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 15083, 68, 481, 19, 2182, 68, 932, 532, 9954, 2191, 204, 531, 309, 4434, 68, 15083, 68, 481, 19, 2182, 68, 2387, 68, 932, 532, 9954, 8334, 2191, 204, 204, 204, 676, 21023, 46, 54, 70, 37618, 17560, 9705, 37618, 17560, 330, 204, 264, 320, 204, 264, 332, 14686, 348, 21023, 382, 28823, 11305, 424, 19, 204, 264, 320, 204, 204, 264, 436, 3204, 68, 15083, 68, 2393, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 932, 31, 9954, 2191, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 930, 2251, 31, 1135, 17, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 35384, 273, 11305, 1672, 1025, 273, 4651, 302, 1094, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 11305, 1672, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1672, 1769, 510, 832, 204, 268, 1672, 68, 2185, 68, 553, 68, 546, 289, 370, 806, 505, 68, 2393, 68, 2185, 68, 553, 68, 546, 13, 2182, 68, 932, 14, 204, 204, 268, 810, 31, 204, 305, 314, 1606, 275, 1672, 1769, 510, 204, 305, 830, 68, 2185, 289, 370, 806, 976, 68, 2185, 68, 553, 13, 2393, 68, 2185, 68, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 314, 828, 275, 510, 1583, 508, 1337, 17, 1900, 273, 458, 302, 443, 1019, 204, 305, 830, 68, 2185, 289, 370, 806, 4776, 68, 10953, 374, 204, 204, 268, 314, 763, 275, 1672, 2084, 49, 510, 832, 204, 268, 1672, 68, 47537, 68, 553, 68, 546, 289, 370, 806, 505, 68, 2393, 68, 47537, 68, 553, 68, 546, 13, 204, 305, 1485, 68, 932, 17, 9954, 8334, 2191, 19, 29500, 204, 268, 1179, 204, 204, 268, 314, 1861, 1048, 275, 4645, 329, 1769, 204, 268, 348, 1672, 17, 1800, 292, 4337, 13, 204, 305, 370, 806, 976, 68, 47537, 68, 553, 13, 2393, 68, 47537, 68, 553, 68, 546, 659, 830, 68, 2185, 204, 268, 16330, 204, 305, 314, 763, 275, 1672, 1222, 329, 11305, 1672, 9740, 204, 305, 1672, 68, 359, 289, 1672, 1166, 359, 1339, 204, 305, 11305, 68, 2393, 68, 6670, 289, 370, 806, 505, 68, 15083, 68, 2393, 68, 6670, 13, 2182, 68, 6670, 17, 1672, 68, 359, 14, 204, 204, 305, 314, 7000, 275, 11305, 2717, 1187, 204, 305, 4353, 30418, 9240, 2191, 19, 11786, 68, 4352, 13, 204, 485, 17800, 68, 772, 34, 327, 806, 6670, 68, 772, 17, 11305, 68, 2393, 68, 6670, 34, 15083, 68, 2393, 68, 6670, 204, 305, 1179, 204, 204, 305, 314, 7000, 275, 1672, 3773, 2085, 204, 305, 4353, 497, 370, 806, 25382, 68, 2393, 68, 26739, 68, 3348, 13, 204, 485, 1485, 68, 6670, 34, 2182, 68, 6670, 17, 204, 485, 1672, 68, 359, 34, 2393, 68, 359, 17, 204, 485, 7345, 34, 3170, 17, 204, 485, 2085, 34, 3170, 17, 204, 485, 1706, 68, 4352, 34, 327, 806, 505, 68, 4381, 68, 4352, 13, 15083, 68, 2393, 68, 6670, 17, 1800, 659, 204, 305, 1179, 204, 204, 305, 314, 7000, 275, 5210, 1094, 204, 305, 4353, 497, 370, 806, 25382, 68, 11692, 68, 1618, 13, 204, 485, 1485, 68, 6670, 34, 2182, 68, 6670, 17, 204, 485, 1672, 68, 359, 34, 2393, 68, 359, 17, 204, 485, 11305, 68, 2393, 68, 6670, 34, 15083, 68, 2393, 68, 6670, 17, 204, 485, 5210, 34, 2393, 1166, 11692, 2869, 204, 485, 5169, 3644, 2393, 1166, 2880, 22, 2869, 1672, 1166, 2880, 23, 15100, 204, 305, 1179, 204, 204, 264, 436, 906, 976, 68, 2185, 68, 553, 13, 327, 17, 510, 68, 546, 31, 2621, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 4143, 273, 1769, 510, 329, 2584, 273, 458, 302, 1769, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 1769, 510, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 332, 458, 302, 1769, 19, 204, 268, 320, 204, 268, 314, 1606, 275, 1769, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 388, 87, 431, 448, 1769, 68, 553, 31, 204, 305, 407, 551, 1054, 19, 2892, 374, 348, 1007, 292, 1769, 68, 553, 19, 9872, 6485, 204, 204, 264, 436, 906, 505, 68, 4381, 68, 4352, 13, 327, 17, 11305, 68, 2393, 68, 6670, 31, 31709, 17, 1800, 31, 394, 14, 393, 1535, 64, 12450, 7670, 744, 204, 268, 320, 204, 268, 3596, 275, 1706, 3508, 9740, 348, 273, 11305, 1672, 19, 204, 204, 268, 457, 31, 204, 305, 11305, 68, 2393, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 11305, 1672, 19, 204, 305, 1800, 322, 325, 330, 334, 1800, 302, 275, 1706, 3508, 19, 204, 204, 268, 475, 31, 204, 305, 1535, 64, 12450, 7670, 744, 334, 9740, 302, 275, 1706, 3508, 17, 521, 443, 397, 275, 1800, 353, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1800, 353, 508, 443, 204, 268, 397, 1800, 353, 508, 443, 31, 204, 305, 314, 455, 275, 1706, 3508, 9740, 204, 305, 407, 31709, 13, 75, 1954, 15083, 68, 2393, 68, 6670, 2829, 4381, 68, 4352, 14509, 339, 13, 1676, 14, 465, 368, 743, 204, 268, 314, 455, 443, 397, 275, 1800, 353, 443, 204, 268, 407, 443, 204, 204, 264, 436, 906, 505, 68, 2393, 68, 2185, 68, 553, 68, 546, 13, 327, 17, 1485, 68, 932, 31, 9954, 2191, 14, 393, 2621, 31, 204, 268, 320, 204, 268, 3596, 275, 1672, 1769, 510, 832, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 204, 268, 475, 31, 204, 305, 2621, 31, 334, 1672, 1769, 510, 832, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1672, 1769, 510, 832, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 1879, 204, 204, 264, 436, 906, 505, 68, 2393, 68, 47537, 68, 553, 68, 546, 13, 204, 268, 370, 17, 1485, 68, 932, 31, 9954, 2191, 17, 1485, 68, 2387, 68, 932, 31, 9954, 8334, 2191, 204, 264, 1179, 393, 2621, 31, 204, 268, 320, 204, 268, 3596, 275, 1672, 2084, 49, 510, 832, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 305, 1485, 68, 2387, 68, 932, 322, 5030, 8334, 2191, 330, 334, 1666, 1187, 302, 275, 1485, 19, 204, 204, 268, 475, 31, 204, 305, 2621, 31, 334, 1672, 2084, 49, 510, 832, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1672, 2084, 49, 510, 832, 204, 268, 1879, 204, 204, 264, 436, 906, 505, 68, 15083, 68, 2393, 68, 6670, 13, 327, 17, 1485, 68, 6670, 31, 31709, 17, 1672, 68, 359, 31, 394, 14, 393, 31709, 31, 204, 268, 320, 204, 268, 3596, 275, 11305, 1672, 9740, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 204, 268, 475, 31, 204, 305, 31709, 31, 334, 11305, 1672, 9740, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 11305, 1672, 9740, 204, 268, 1879, 204, 204, 264, 436, 906, 25382, 68, 2393, 68, 26739, 68, 3348, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 1672, 68, 359, 31, 394, 17, 204, 268, 7345, 31, 443, 17, 204, 268, 2085, 31, 443, 17, 204, 268, 1706, 68, 4352, 31, 1535, 64, 12450, 7670, 648, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 9112, 275, 1672, 3773, 2085, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 305, 7345, 322, 3170, 330, 334, 7345, 19, 204, 305, 2085, 322, 3170, 330, 334, 2085, 19, 204, 305, 1706, 68, 4352, 322, 4437, 64, 12450, 7670, 1037, 334, 1706, 3508, 9740, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 1672, 3773, 2085, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 4353, 275, 1672, 3773, 2085, 204, 268, 1879, 204, 204, 264, 436, 906, 25382, 68, 11692, 68, 1618, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 1672, 68, 359, 31, 394, 17, 204, 268, 11305, 68, 2393, 68, 6670, 31, 31709, 17, 204, 268, 5210, 31, 394, 17, 204, 268, 5169, 31, 927, 17, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 9112, 275, 5210, 1094, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 305, 11305, 68, 2393, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 11305, 1672, 19, 204, 305, 5210, 322, 325, 330, 334, 5210, 19, 204, 305, 5169, 322, 2644, 330, 334, 5169, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 5210, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 4353, 275, 5210, 1094, 204, 268, 1879, 204, 204, 264, 436, 906, 4776, 68, 10953, 13, 327, 14, 393, 783, 64, 3170, 744, 204, 268, 320, 204, 268, 6071, 273, 458, 302, 443, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 3170, 744, 332, 458, 302, 443, 1019, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 1900, 273, 458, 302, 443, 1019, 204, 268, 1879, 204, 204, 264, 436, 906, 976, 68, 47537, 68, 553, 13, 327, 17, 510, 68, 546, 31, 2621, 14, 393, 783, 64, 873, 744, 204, 268, 320, 204, 268, 4143, 273, 2084, 49, 510, 329, 2584, 273, 458, 302, 5239, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2084, 49, 510, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 873, 744, 332, 458, 302, 5239, 19, 204, 268, 320, 204, 268, 314, 1606, 275, 2084, 49, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 388, 87, 431, 448, 1875, 81, 68, 553, 31, 204, 305, 407, 551, 1775, 19, 5569, 13, 1054, 14, 348, 1007, 292, 1875, 81, 68, 553, 19, 9872, 6485, 204, 0, 647, 20210, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 3022, 68, 7522, 532, 5888, 17, 2805, 204, 531, 2617, 1618, 532, 2221, 204, 204, 676, 17588, 17471, 13, 22168, 19, 3295, 17471, 330, 204, 264, 320, 204, 264, 5336, 17588, 5888, 850, 19, 204, 204, 264, 1058, 850, 9713, 17588, 5888, 348, 7348, 2164, 19, 204, 264, 1547, 5377, 348, 275, 9920, 302, 273, 1097, 17588, 1948, 292, 275, 379, 18963, 12, 3494, 17, 204, 264, 355, 7676, 275, 1948, 17, 329, 3887, 675, 275, 575, 19, 204, 264, 320, 204, 204, 264, 1948, 68, 4830, 289, 379, 7545, 12, 204, 204, 264, 436, 11368, 13, 327, 17, 824, 31, 726, 14, 393, 927, 1152, 443, 31, 204, 268, 320, 204, 268, 16699, 275, 824, 329, 407, 275, 575, 329, 1948, 397, 5888, 353, 2707, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 927, 1152, 443, 31, 332, 927, 1174, 275, 575, 329, 1948, 397, 5888, 353, 2707, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 977, 275, 575, 311, 443, 204, 268, 824, 19, 816, 289, 443, 204, 204, 268, 314, 763, 275, 5888, 3494, 497, 275, 824, 204, 268, 5121, 68, 4603, 289, 370, 806, 505, 68, 3340, 68, 4603, 13, 1443, 14, 204, 268, 397, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 508, 5121, 68, 4603, 31, 204, 305, 314, 828, 1236, 5888, 3494, 353, 1193, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 2735, 275, 5888, 3494, 1025, 4016, 329, 1948, 204, 268, 4016, 17, 1948, 289, 370, 806, 1703, 68, 3340, 68, 4603, 13, 3340, 68, 4603, 14, 204, 268, 397, 508, 370, 806, 360, 68, 1018, 68, 4830, 13, 4830, 330, 204, 305, 314, 828, 275, 4016, 353, 508, 1097, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 16699, 275, 4997, 204, 268, 407, 370, 806, 22909, 68, 7272, 13, 1443, 17, 1948, 14, 204, 204, 264, 436, 906, 505, 68, 3340, 68, 4603, 13, 327, 17, 824, 31, 726, 14, 393, 458, 1152, 443, 31, 204, 268, 320, 204, 268, 763, 275, 5888, 3494, 497, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 458, 1152, 443, 31, 334, 5888, 3494, 448, 273, 458, 302, 3157, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 314, 763, 275, 379, 18963, 12, 3494, 497, 275, 824, 204, 268, 5121, 68, 4603, 289, 5888, 19, 505, 68, 24525, 68, 4603, 13, 1443, 14, 204, 268, 397, 508, 5121, 68, 4603, 31, 204, 305, 314, 828, 1236, 379, 18963, 12, 3494, 353, 1193, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 3736, 275, 379, 18963, 12, 3494, 1025, 273, 458, 302, 3157, 204, 268, 407, 5121, 68, 4603, 19, 1590, 374, 204, 204, 264, 436, 906, 1703, 68, 3340, 68, 4603, 13, 327, 17, 5121, 68, 4603, 31, 458, 14, 393, 927, 31, 204, 268, 320, 204, 268, 2735, 275, 5888, 3494, 1025, 4016, 329, 1948, 19, 204, 204, 268, 457, 31, 204, 305, 5121, 68, 4603, 322, 655, 330, 334, 5888, 3494, 448, 273, 458, 302, 3157, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 4016, 329, 1948, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5888, 3494, 869, 6488, 970, 3576, 204, 268, 397, 1245, 13, 3340, 68, 4603, 14, 2167, 435, 31, 204, 305, 314, 828, 508, 17, 407, 443, 348, 1855, 4016, 329, 1948, 204, 305, 407, 443, 17, 443, 204, 204, 268, 314, 12210, 275, 4016, 329, 1948, 497, 3154, 311, 3157, 204, 268, 4016, 289, 5121, 68, 4603, 64, 21, 1664, 5286, 611, 3102, 18, 29, 534, 204, 268, 1948, 289, 5121, 68, 4603, 64, 22, 1664, 5286, 611, 3102, 18, 29, 534, 204, 268, 407, 4016, 17, 1948, 204, 204, 264, 436, 906, 360, 68, 1018, 68, 4830, 13, 327, 17, 4016, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 4016, 353, 1097, 19, 204, 204, 268, 457, 31, 204, 305, 4016, 322, 325, 330, 334, 4016, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 4016, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 4016, 4083, 275, 1812, 1948, 4016, 322, 2059, 18, 20586, 14, 204, 268, 407, 4016, 19, 3006, 374, 564, 370, 19, 2119, 68, 4830, 19, 3006, 374, 204, 204, 264, 436, 906, 22909, 68, 7272, 13, 327, 17, 824, 31, 726, 17, 1948, 31, 394, 14, 393, 927, 31, 204, 268, 320, 204, 268, 6608, 311, 11368, 275, 800, 4997, 19, 828, 5888, 353, 2707, 17, 407, 275, 575, 329, 1948, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 305, 1948, 322, 325, 330, 334, 17588, 1948, 311, 11368, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 575, 329, 1948, 397, 5888, 353, 2707, 19, 204, 204, 268, 1632, 31, 204, 305, 2805, 19, 17471, 3504, 31, 828, 5888, 4737, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 12210, 275, 17588, 1948, 974, 275, 4583, 896, 204, 305, 5735, 289, 20210, 19, 5286, 13, 2119, 17, 2557, 19, 9187, 68, 4617, 17, 11619, 4980, 14663, 6372, 2378, 204, 268, 827, 20210, 19, 46930, 26362, 596, 31, 204, 305, 314, 828, 275, 1948, 869, 18498, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 7545, 869, 18498, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 268, 827, 20210, 19, 1962, 7545, 596, 31, 204, 305, 314, 828, 275, 1948, 353, 2872, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 1962, 5888, 19, 29122, 508, 10318, 1948, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 810, 31, 204, 305, 314, 763, 275, 575, 497, 275, 1104, 974, 275, 575, 1222, 497, 275, 5735, 204, 305, 575, 289, 2221, 19, 2856, 19, 505, 13, 5331, 34, 8101, 736, 359, 2378, 204, 268, 827, 2221, 19, 9775, 31, 204, 305, 314, 828, 275, 575, 1583, 508, 1337, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 3882, 575, 7535, 808, 1948, 867, 1193, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 314, 778, 397, 275, 575, 353, 4884, 204, 268, 397, 508, 575, 19, 360, 68, 4187, 31, 204, 305, 314, 828, 275, 575, 353, 508, 4884, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 1834, 575, 869, 1742, 355, 29858, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 314, 455, 275, 575, 329, 1948, 397, 5888, 353, 2707, 204, 268, 407, 575, 17, 1948, 204, 0, 23513, 5805, 717, 2589, 2344, 204, 13936, 19823, 2152, 560, 1692, 204, 7637, 4056, 24704, 45464, 21506, 322, 57, 4175, 14, 4683, 529, 10597, 8077, 560, 3490, 440, 275, 24704, 31187, 496, 722, 497, 6053, 427, 32672, 521, 43194, 19, 592, 1605, 7155, 13546, 17, 275, 4683, 302, 275, 24704, 25810, 313, 24, 329, 17, 6469, 17, 313, 25, 529, 4440, 2223, 521, 4440, 3264, 19, 9404, 44129, 4042, 618, 4767, 275, 5627, 302, 24704, 25810, 17, 329, 508, 1910, 302, 1475, 529, 8578, 2323, 19, 204, 4167, 16620, 45464, 21506, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11155, 884, 89, 7758, 560, 275, 24704, 31187, 19, 13472, 17, 490, 677, 29660, 560, 275, 16866, 27891, 557, 31187, 17, 329, 490, 869, 273, 45464, 329, 28347, 2620, 523, 275, 24704, 31187, 19, 334, 1690, 302, 24704, 45464, 21506, 17, 448, 9140, 292, 273, 5043, 683, 17, 23786, 2075, 275, 16866, 27891, 557, 388, 92, 1372, 7, 275, 24704, 311, 770, 19, 332, 2519, 4488, 10846, 3094, 24704, 741, 17, 1101, 17912, 313, 4175, 4683, 8956, 275, 16866, 27891, 557, 31187, 884, 88, 4809, 311, 2931, 521, 10574, 275, 25810, 19, 204, 673, 1901, 2323, 329, 3422, 8095, 302, 17912, 313, 4175, 4683, 17, 8405, 17, 529, 43194, 329, 6053, 427, 32672, 19, 12896, 7529, 292, 313, 4175, 529, 5298, 1330, 24704, 25810, 529, 3264, 2404, 275, 16866, 27891, 557, 31187, 353, 18493, 311, 31640, 5627, 19, 4168, 4683, 302, 275, 45464, 21506, 529, 3264, 17, 523, 275, 904, 1922, 17, 808, 353, 311, 940, 30766, 1182, 5627, 302, 313, 571, 329, 313, 681, 17, 2404, 1422, 353, 2861, 4440, 3171, 3113, 292, 275, 2484, 19, 204, 14426, 85, 3570, 32672, 329, 6053, 427, 32672, 4006, 884, 89, 4501, 722, 497, 275, 1729, 8095, 19, 1547, 884, 88, 508, 496, 34298, 348, 4598, 311, 2390, 43194, 19, 592, 1901, 2910, 17, 1422, 11155, 884, 89, 273, 2824, 41721, 17, 2090, 273, 944, 521, 27838, 302, 275, 31187, 19, 332, 3836, 3253, 302, 43194, 353, 437, 39455, 4614, 3250, 13392, 449, 3517, 884, 88, 24704, 10438, 17, 928, 353, 1182, 10690, 19, 48548, 17, 7057, 275, 24704, 31187, 1425, 1563, 292, 43194, 19, 204, 673, 1901, 2323, 3253, 302, 6053, 427, 32672, 353, 6890, 1405, 12, 4614, 19, 29560, 5175, 17, 273, 2637, 944, 523, 275, 24704, 31187, 618, 2566, 490, 1025, 1048, 16305, 17, 928, 4230, 444, 13567, 560, 3264, 17, 17912, 313, 4175, 4683, 19, 9988, 5792, 618, 1425, 722, 292, 6053, 427, 32672, 17, 329, 1465, 720, 10, 302, 4598, 2390, 273, 8987, 3155, 302, 490, 1877, 5701, 273, 11535, 19, 204, 12695, 3836, 8095, 302, 2223, 521, 3264, 21506, 4683, 529, 275, 732, 302, 275, 16661, 45569, 329, 273, 1624, 478, 290, 389, 19, 2767, 16620, 6427, 353, 10976, 10690, 17, 1101, 490, 353, 5508, 311, 722, 292, 17912, 313, 4175, 4683, 19, 1606, 880, 348, 313, 4175, 1120, 5573, 7066, 302, 2519, 292, 1429, 6396, 42008, 12772, 11861, 348, 6427, 19, 204, 3837, 677, 3287, 311, 4806, 496, 17912, 313, 4175, 4683, 529, 8489, 3913, 311, 273, 29454, 13013, 521, 48474, 683, 19, 828, 273, 1874, 353, 10178, 4476, 302, 7112, 17, 490, 353, 273, 3094, 6733, 311, 9437, 275, 683, 19, 1058, 618, 8184, 521, 2872, 316, 275, 2171, 1563, 329, 3422, 16610, 10996, 9029, 23410, 17, 397, 1945, 19, 204, 5842, 302, 2077, 33569, 1120, 5197, 1214, 22639, 329, 1895, 3731, 397, 32783, 10948, 19, 9076, 496, 10625, 523, 275, 542, 302, 19340, 572, 7137, 17, 808, 618, 3074, 20160, 497, 273, 4542, 3658, 311, 273, 4542, 3054, 19, 28700, 872, 348, 14644, 311, 6024, 26668, 3249, 26155, 6, 0, 38, 4790, 302, 21781, 329, 13496, 204, 18489, 353, 387, 1156, 18994, 8373, 17, 273, 2344, 8696, 292, 1429, 3576, 302, 275, 2688, 19, 334, 1489, 448, 1702, 17, 630, 3406, 292, 3099, 302, 2688, 3511, 17, 353, 292, 35664, 17, 1101, 9631, 22121, 41007, 311, 2909, 630, 1429, 2590, 18, 4917, 22846, 19, 204, 3728, 529, 34719, 36, 387, 1156, 18994, 529, 3232, 560, 5043, 17, 1629, 36, 7054, 353, 508, 13765, 275, 1322, 17, 5862, 17, 2404, 34719, 529, 508, 4501, 13496, 329, 21781, 521, 13496, 329, 13496, 521, 21781, 329, 21781, 1415, 6635, 275, 1729, 6757, 19, 3065, 529, 1425, 4315, 18, 30220, 18994, 329, 1660, 18, 30220, 18994, 19, 4253, 1675, 1422, 529, 17260, 34719, 17, 1415, 529, 34719, 5575, 311, 275, 3938, 17, 1101, 508, 6038, 28045, 19, 19265, 16031, 34719, 6635, 2753, 841, 1762, 302, 1017, 10141, 17, 4315, 18, 30220, 18994, 630, 3406, 2019, 841, 1762, 17, 329, 17260, 34719, 11077, 19, 204, 35433, 808, 3697, 2342, 5814, 4199, 1662, 41160, 17796, 618, 444, 19, 3242, 353, 3667, 275, 1322, 17, 273, 6247, 4790, 353, 508, 2237, 19, 204, 56, 8291, 329, 25377, 292, 5936, 204, 15904, 302, 3397, 31, 22076, 1995, 848, 904, 448, 25377, 329, 37880, 19, 3846, 5566, 36, 12338, 1250, 1307, 311, 275, 1729, 11575, 521, 13441, 311, 275, 1729, 22813, 36, 12338, 1250, 22135, 275, 1729, 21670, 292, 24021, 36, 12338, 1250, 529, 34462, 5329, 36, 8278, 4440, 17, 273, 3277, 18082, 521, 1236, 353, 28895, 2237, 19, 6917, 273, 1043, 24032, 1422, 353, 5971, 273, 5348, 1622, 780, 10559, 20410, 1880, 884, 88, 6733, 302, 5608, 30091, 17, 8489, 1017, 6733, 302, 2804, 353, 1792, 19, 4087, 2075, 5814, 273, 10927, 273, 10927, 17, 329, 496, 566, 521, 2268, 618, 444, 273, 13496, 521, 273, 21781, 36, 204, 673, 10927, 13082, 353, 10442, 924, 10401, 19, 334, 10927, 1994, 336, 353, 18321, 523, 19155, 43175, 329, 275, 44305, 793, 884, 2427, 336, 19, 22076, 27144, 275, 2631, 19, 204, 18, 1785, 8732, 292, 5608, 275, 21670, 17, 275, 22412, 17, 329, 275, 19155, 23507, 19, 204, 18, 1785, 8732, 496, 11297, 5936, 10564, 348, 451, 329, 20008, 2528, 17, 329, 496, 2474, 1120, 3891, 2528, 19, 204, 18, 1785, 8732, 292, 1051, 27191, 16147, 329, 35599, 8237, 11575, 17, 275, 3156, 288, 302, 1533, 10562, 17, 43718, 12328, 302, 36414, 17, 275, 47776, 302, 275, 2484, 17, 329, 3307, 7921, 44225, 19, 204, 837, 4998, 17, 22076, 5506, 26448, 560, 34462, 2643, 19, 4253, 1250, 4070, 848, 904, 292, 273, 20972, 329, 33655, 2501, 19, 204, 26053, 4825, 8732, 292, 5936, 204, 4237, 17, 273, 2909, 630, 24596, 5913, 31, 508, 830, 8732, 808, 1169, 1182, 19, 592, 36556, 2666, 17, 22076, 1466, 14351, 1415, 12551, 292, 11297, 5936, 448, 275, 22412, 302, 5608, 19, 15601, 17, 22076, 2428, 7105, 22076, 1415, 1236, 6397, 2219, 8732, 292, 11297, 5936, 19, 3065, 529, 4325, 286, 87, 924, 10401, 21992, 17, 1898, 19513, 3704, 21992, 17, 303, 286, 267, 3704, 21992, 3217, 416, 830, 292, 275, 27949, 2085, 302, 24596, 19, 3065, 529, 4447, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1872, 9172, 440, 4382, 23623, 17, 7301, 12574, 302, 10927, 21992, 1425, 7647, 560, 1017, 2268, 270, 4474, 1662, 6167, 275, 2484, 302, 5936, 353, 19, 204, 35395, 17, 10927, 13082, 353, 311, 444, 30560, 5215, 19, 332, 11132, 496, 1583, 508, 21757, 1283, 10165, 521, 6978, 17, 30751, 521, 13927, 521, 4361, 1502, 19, 332, 11132, 496, 19236, 523, 275, 15319, 329, 275, 8602, 2842, 448, 490, 1583, 523, 275, 11031, 329, 275, 7831, 19, 332, 11132, 348, 928, 830, 3651, 20955, 529, 21847, 302, 5608, 329, 529, 44706, 302, 7953, 11015, 8336, 19, 10927, 13082, 1583, 508, 4627, 17, 1622, 12950, 17, 1101, 9517, 4412, 1101, 6216, 17, 1622, 12950, 17, 496, 884, 88, 4153, 24194, 17182, 1826, 38084, 275, 3698, 1570, 2404, 5608, 38084, 3850, 353, 273, 10927, 19, 17182, 1826, 22036, 275, 14638, 1873, 5976, 302, 33466, 1475, 353, 273, 10927, 19, 204, 37890, 273, 10927, 2317, 437, 25270, 204, 673, 588, 5366, 490, 830, 19, 25511, 273, 10927, 3210, 2631, 275, 1763, 302, 5936, 17, 7497, 275, 8336, 302, 5608, 17, 329, 33359, 275, 6990, 302, 275, 19155, 23507, 18995, 3217, 668, 1605, 529, 10569, 302, 10927, 25377, 329, 37880, 19, 31437, 21781, 447, 329, 13496, 447, 3210, 15776, 299, 348, 5261, 17, 32295, 440, 5261, 17, 37649, 440, 5261, 17, 329, 37924, 299, 2077, 18068, 19, 1058, 353, 2075, 5814, 25377, 329, 37880, 292, 5936, 19, 204, 21912, 1826, 7977, 2090, 808, 13374, 2483, 5608, 19, 204, 16119, 31, 724, 879, 6685, 760, 396, 338, 3613, 19, 364, 33475, 19, 1453, 0, 531, 10697, 532, 14354, 17, 10375, 204, 531, 28083, 19, 29441, 532, 44123, 204, 204, 8, 968, 3454, 348, 11192, 886, 204, 676, 4861, 31, 204, 264, 320, 7554, 348, 275, 313, 5655, 2023, 1279, 204, 264, 33665, 68, 2956, 289, 1199, 204, 264, 595, 3458, 32977, 68, 8327, 289, 2031, 204, 264, 39333, 3096, 68, 44003, 289, 571, 204, 264, 39333, 3096, 68, 17378, 3285, 289, 887, 204, 264, 39333, 3096, 68, 49, 38790, 289, 931, 204, 204, 676, 313, 5655, 13, 1126, 17, 44123, 330, 204, 264, 320, 204, 264, 332, 10697, 2023, 496, 12784, 1483, 1465, 273, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1727, 68, 1270, 322, 1386, 330, 1346, 726, 1174, 1483, 1465, 275, 1727, 19, 204, 268, 7572, 322, 44655, 5237, 17, 1448, 330, 334, 2260, 5237, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1727, 68, 1270, 31, 726, 17, 7572, 34, 3170, 330, 204, 268, 320, 204, 268, 1865, 275, 313, 5655, 2023, 19, 204, 204, 268, 457, 31, 204, 305, 1727, 68, 1270, 322, 1386, 330, 1346, 726, 1174, 1483, 1465, 275, 1727, 19, 204, 305, 7572, 322, 44655, 5237, 17, 1448, 330, 334, 2260, 5237, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 8319, 34, 8319, 14, 204, 268, 44123, 3925, 924, 889, 327, 17, 1727, 68, 1270, 14, 204, 268, 370, 806, 2602, 68, 1270, 289, 1727, 68, 1270, 204, 268, 370, 806, 1270, 68, 1676, 289, 10375, 13, 327, 17, 1068, 833, 19573, 491, 4514, 34, 75, 12, 58, 46509, 463, 7554, 19, 14340, 68, 2956, 98, 19520, 534, 204, 268, 370, 806, 579, 68, 1669, 289, 370, 806, 1510, 68, 1270, 68, 1669, 611, 10979, 3877, 31, 7537, 1727, 68, 1270, 19, 579, 14, 204, 268, 370, 806, 898, 68, 1669, 289, 370, 806, 1510, 68, 1270, 68, 1669, 611, 13840, 31, 7537, 1727, 68, 1270, 19, 898, 14, 204, 268, 370, 806, 2749, 68, 1676, 289, 10375, 13, 327, 17, 1068, 34, 2602, 68, 1270, 19, 2749, 17, 10191, 863, 786, 34, 7554, 19, 60, 3458, 32977, 68, 8327, 14, 204, 268, 370, 806, 5666, 68, 3802, 374, 204, 204, 264, 436, 906, 1510, 68, 1270, 68, 1669, 13, 327, 17, 1800, 68, 492, 31, 394, 17, 700, 31, 394, 14, 393, 14354, 31, 204, 268, 320, 204, 268, 2605, 273, 2023, 440, 273, 1800, 329, 273, 700, 1800, 19, 204, 204, 268, 457, 31, 204, 305, 1800, 68, 492, 322, 325, 330, 334, 1068, 348, 275, 1800, 19, 204, 305, 700, 322, 325, 330, 334, 700, 311, 2037, 19, 204, 204, 268, 475, 31, 204, 305, 14354, 31, 334, 1966, 2023, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 2023, 311, 5148, 275, 1800, 329, 700, 204, 268, 2023, 289, 14354, 13, 327, 14, 204, 268, 314, 666, 275, 1800, 329, 700, 1800, 204, 268, 1800, 289, 10375, 13, 1669, 17, 1068, 34, 1676, 68, 492, 14, 204, 268, 700, 68, 1676, 289, 10375, 13, 1669, 17, 1068, 34, 876, 17, 5665, 833, 21968, 534, 204, 268, 314, 10806, 275, 1800, 329, 700, 1800, 1025, 275, 2023, 204, 268, 1800, 19, 3674, 13, 2662, 833, 1735, 491, 16350, 34, 7554, 19, 38376, 68, 44003, 14, 204, 268, 700, 68, 1676, 19, 3674, 13, 2662, 833, 1735, 491, 16350, 34, 7554, 19, 38376, 68, 44003, 14, 204, 268, 407, 2023, 204, 204, 264, 436, 906, 5666, 68, 3802, 13, 327, 330, 204, 268, 320, 204, 268, 5313, 719, 275, 9166, 4550, 19, 204, 268, 320, 204, 268, 314, 10806, 275, 3986, 1800, 204, 268, 370, 806, 1270, 68, 1676, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 49, 38790, 14, 204, 268, 314, 10806, 275, 6344, 329, 2054, 6710, 204, 268, 370, 806, 579, 68, 1669, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 268, 370, 806, 898, 68, 1669, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 268, 314, 10806, 275, 2342, 1800, 204, 268, 370, 806, 2749, 68, 1676, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 204, 264, 436, 21110, 13, 327, 17, 1483, 31, 726, 289, 443, 330, 204, 268, 320, 204, 268, 5307, 275, 11656, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 1483, 322, 1386, 17, 1448, 330, 334, 717, 1483, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 1727, 3986, 397, 717, 1483, 353, 1917, 204, 268, 397, 1483, 353, 508, 443, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 204, 305, 370, 806, 2602, 68, 1270, 289, 1483, 204, 268, 314, 1716, 275, 6344, 329, 2054, 1019, 292, 275, 6710, 204, 268, 370, 806, 579, 68, 1669, 19, 43937, 68, 7507, 8083, 22, 1664, 1087, 13, 492, 34, 327, 806, 2602, 68, 1270, 19, 579, 14, 204, 268, 370, 806, 898, 68, 1669, 19, 43937, 68, 7507, 8083, 22, 1664, 1087, 13, 492, 34, 327, 806, 2602, 68, 1270, 19, 898, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 10697, 448, 3347, 204, 264, 497, 8632, 532, 8204, 204, 204, 264, 1642, 6611, 204, 264, 850, 12121, 5655, 31, 204, 268, 6344, 31, 394, 204, 268, 2054, 31, 421, 204, 268, 2342, 31, 394, 204, 204, 264, 850, 7614, 38778, 31, 204, 268, 436, 589, 924, 889, 327, 17, 1727, 68, 1270, 330, 204, 305, 370, 19, 2602, 68, 1270, 289, 1727, 68, 1270, 204, 204, 264, 1610, 289, 3347, 19, 7882, 374, 204, 264, 1727, 68, 1270, 289, 12121, 5655, 499, 12595, 19, 13282, 19, 22, 19, 22, 528, 27707, 17, 388, 1834, 353, 273, 683, 1727, 431, 204, 264, 265, 68, 1270, 289, 313, 5655, 13, 2602, 68, 1270, 17, 7572, 34, 2125, 14, 204, 264, 265, 68, 1270, 19, 3674, 374, 204, 264, 1610, 19, 14677, 374, 204, 0, 23976, 1984, 4726, 45, 32837, 19592, 14758, 15144, 32837, 2065, 21307, 8345, 921, 41464, 12054, 942, 3976, 14818, 16081, 13630, 1227, 16135, 4384, 568, 19592, 13911, 21230, 1456, 25041, 7333, 29539, 11035, 14758, 11247, 460, 5277, 21147, 16167, 29588, 29539, 1946, 9487, 21225, 27173, 1191, 568, 204, 4726, 45, 32837, 19592, 14758, 15144, 1254, 4726, 1189, 5757, 6713, 4664, 41464, 13644, 27564, 14758, 408, 41464, 7452, 4726, 22605, 8690, 241, 6677, 3716, 2860, 4276, 2433, 4298, 408, 6606, 21230, 21307, 6614, 921, 3464, 8345, 4004, 2738, 30728, 1390, 3590, 408, 26089, 47239, 1227, 30728, 13630, 1579, 3429, 2807, 460, 24089, 408, 7452, 41464, 1550, 41648, 4004, 2738, 16081, 13630, 408, 2678, 4004, 2738, 12354, 32273, 408, 9518, 19592, 32837, 30726, 568, 13644, 27564, 2815, 16460, 3361, 4661, 32837, 19592, 14758, 5851, 37631, 2321, 13644, 27564, 14758, 725, 32837, 6152, 14758, 725, 19278, 3464, 19592, 14758, 725, 32837, 21307, 14758, 725, 32837, 45675, 14758, 725, 16460, 3361, 4661, 32837, 19592, 14758, 568, 13004, 2815, 16460, 3361, 4661, 32837, 19592, 14758, 921, 13004, 2337, 35217, 1191, 3784, 3976, 15234, 408, 921, 33917, 1390, 35217, 11066, 24821, 2338, 39622, 5277, 16217, 21147, 8483, 45898, 25190, 408, 6883, 1886, 6371, 13191, 408, 3976, 22146, 13004, 2337, 11485, 35217, 8483, 17584, 408, 19592, 1946, 21230, 31391, 23056, 2498, 4323, 568, 13006, 38626, 4957, 21581, 23758, 16217, 12530, 408, 5851, 9632, 21230, 31391, 23056, 4323, 408, 11530, 2321, 10344, 568, 204, 21544, 725, 9855, 725, 44029, 725, 2134, 22268, 725, 34671, 2677, 1971, 16856, 17172, 11648, 9143, 40099, 921, 27757, 9878, 48639, 7720, 10000, 21147, 568, 4411, 9555, 11422, 2338, 5115, 33217, 2338, 40604, 23992, 19043, 460, 42116, 408, 20197, 40604, 5259, 2338, 32199, 23428, 408, 10150, 4664, 1227, 28835, 19591, 408, 9027, 25066, 1603, 6806, 43571, 43357, 1871, 11079, 17891, 28308, 11860, 26286, 6290, 408, 10150, 1603, 39128, 725, 9103, 19563, 37886, 26327, 1955, 568, 204, 13644, 27564, 14758, 854, 8777, 8846, 35217, 2860, 32837, 6152, 25365, 5259, 408, 2336, 8412, 10344, 725, 45912, 4323, 23772, 725, 21230, 4758, 6311, 2382, 408, 5017, 8221, 42449, 568, 204, 13644, 27564, 14758, 13423, 24089, 43724, 10092, 3361, 725, 22363, 3361, 1227, 8704, 3361, 32613, 12554, 568, 8695, 42154, 4987, 22363, 3361, 13644, 27564, 1984, 14187, 10000, 2114, 2860, 27101, 10884, 10000, 21147, 32837, 3571, 3419, 2575, 31273, 19592, 14758, 408, 11035, 41464, 5784, 408, 32837, 3064, 14758, 7386, 7573, 2739, 408, 2056, 21230, 23034, 16167, 23034, 1946, 2065, 29179, 17408, 47634, 21307, 8345, 14187, 22363, 3361, 16691, 4525, 41464, 33768, 4276, 29193, 568, 921, 41464, 12054, 1390, 408, 3464, 8345, 4004, 2738, 12354, 16081, 21307, 1191, 1227, 16135, 408, 1254, 31081, 32837, 1191, 2405, 7333, 460, 10000, 2114, 2860, 27101, 2114, 7580, 2654, 568, 10000, 21147, 32837, 11035, 19592, 1946, 408, 4762, 2056, 5277, 21147, 4661, 43063, 5277, 21147, 1946, 2499, 18753, 21230, 3064, 20233, 5612, 2739, 27173, 568, 1002, 17571, 2114, 15865, 9352, 22764, 725, 12530, 26783, 1427, 125, 2739, 4146, 3827, 9942, 1191, 408, 46406, 22764, 3064, 34073, 3361, 4304, 27007, 408, 20506, 460, 33159, 2654, 3064, 5612, 7580, 4304, 21225, 27007, 568, 21307, 8345, 921, 14758, 7386, 2056, 46610, 4129, 4758, 1946, 921, 14758, 11247, 13644, 27564, 2253, 1926, 408, 4286, 3361, 4228, 14758, 7386, 18095, 3865, 568, 415, 9049, 32837, 19592, 14758, 15144, 8412, 12453, 31, 4726, 41464, 13644, 27564, 14758, 8412, 4587, 3622, 2815, 15856, 4035, 2815, 1227, 31417, 2815, 568, 4035, 2815, 8412, 13423, 24089, 1189, 3464, 8345, 4004, 2738, 4035, 22363, 16081, 408, 31417, 2815, 8412, 13423, 24089, 1189, 3464, 8345, 4004, 2738, 42442, 3361, 16081, 408, 32837, 4525, 41464, 5784, 6107, 1227, 8345, 2738, 16081, 21307, 1191, 1227, 408, 13225, 9518, 19592, 8483, 568, 3579, 2006, 14758, 1191, 41464, 5784, 1432, 1789, 4905, 3579, 5784, 2860, 1689, 5784, 568, 21577, 31, 6472, 19592, 47220, 408, 40803, 9760, 2174, 408, 26994, 6829, 725, 10166, 14745, 12350, 725, 2807, 16161, 1822, 725, 22603, 32849, 725, 47193, 2382, 725, 32837, 6152, 2359, 1251, 1955, 21577, 568, 204, 0, 40344, 17, 11261, 2905, 17, 10599, 204, 14829, 321, 353, 275, 30652, 29788, 4132, 1574, 292, 275, 2747, 30655, 17, 5576, 1070, 497, 275, 36230, 302, 8721, 321, 19, 1547, 353, 6028, 437, 3585, 1574, 329, 353, 1051, 302, 3420, 23360, 9649, 19, 8721, 321, 353, 26372, 560, 275, 8504, 34037, 322, 9798, 1425, 5035, 313, 36159, 789, 25511, 275, 30652, 1574, 302, 275, 1264, 30655, 17, 8721, 321, 869, 1742, 3610, 440, 275, 29788, 4132, 30652, 4554, 19, 204, 30710, 88, 9596, 1330, 275, 12536, 867, 292, 808, 1574, 529, 6028, 8721, 321, 7330, 19, 334, 12536, 21311, 8721, 321, 523, 275, 5353, 302, 6025, 1203, 281, 6703, 6484, 93, 560, 4790, 17, 521, 3332, 11047, 5436, 17, 12637, 490, 3332, 11261, 3528, 19, 204, 14829, 321, 17, 1425, 3556, 448, 388, 673, 39716, 7, 521, 388, 15674, 528, 353, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 1698, 4414, 302, 275, 1264, 30655, 496, 353, 6717, 560, 437, 292, 47552, 726, 17, 6216, 1194, 437, 6555, 521, 3651, 19, 0, 647, 304, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 461, 1967, 68, 9316, 68, 1270, 13, 805, 31, 394, 14, 393, 1535, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 7483, 6858, 1483, 497, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 1174, 6858, 1483, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 1665, 64, 325, 17, 394, 2440, 332, 955, 1174, 275, 7751, 329, 6858, 886, 17, 521, 443, 397, 13348, 4737, 19, 204, 264, 320, 204, 264, 314, 15155, 2231, 3758, 311, 2216, 6858, 329, 7751, 886, 204, 264, 6858, 68, 4745, 289, 468, 12, 33782, 18, 1568, 21, 18, 30, 15862, 15795, 204, 264, 7751, 68, 4745, 289, 468, 12, 42604, 18, 1568, 21, 18, 30, 15862, 15795, 204, 204, 264, 810, 31, 204, 268, 314, 6994, 348, 6858, 329, 7751, 886, 292, 275, 1274, 204, 268, 6858, 68, 4054, 289, 304, 19, 1803, 13, 9316, 68, 4745, 17, 1779, 14, 204, 268, 7751, 68, 4054, 289, 304, 19, 1803, 13, 15675, 68, 4745, 17, 1779, 14, 204, 204, 268, 314, 778, 397, 1855, 6858, 329, 7751, 886, 529, 1193, 204, 268, 397, 6858, 68, 4054, 329, 7751, 68, 4054, 31, 204, 305, 314, 1986, 275, 6858, 329, 7751, 886, 204, 305, 6858, 68, 1190, 289, 6858, 68, 4054, 19, 2207, 13, 22, 14, 204, 305, 7751, 68, 1190, 289, 7751, 68, 4054, 19, 2207, 13, 22, 14, 204, 204, 305, 314, 666, 273, 955, 311, 1640, 275, 6858, 1483, 204, 305, 6858, 68, 1270, 289, 463, 204, 485, 379, 15675, 597, 7751, 68, 1190, 17, 204, 485, 379, 9316, 597, 6858, 68, 1190, 204, 305, 1211, 204, 305, 407, 6858, 68, 1270, 204, 268, 902, 31, 204, 305, 314, 1426, 275, 1322, 1273, 4260, 6858, 521, 7751, 542, 353, 508, 1193, 204, 305, 456, 499, 596, 31, 32470, 311, 1967, 6858, 1483, 497, 275, 1274, 1280, 204, 305, 407, 443, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 13504, 2805, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 204, 461, 1900, 68, 553, 68, 417, 13, 9316, 68, 1270, 31, 1061, 64, 325, 17, 394, 694, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 273, 510, 588, 1609, 523, 275, 6858, 1483, 19, 204, 204, 264, 457, 31, 204, 264, 6858, 68, 1270, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1174, 275, 7751, 329, 6858, 886, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4489, 510, 588, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 510, 588, 974, 275, 6858, 1483, 204, 264, 510, 68, 417, 289, 283, 7, 40, 28092, 68, 35705, 68, 42162, 68, 56, 96, 9316, 68, 1270, 736, 15675, 839, 6803, 42, 96, 9316, 68, 1270, 736, 9316, 25958, 204, 264, 407, 510, 68, 417, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 1779, 289, 379, 3189, 1963, 6891, 18, 39655, 19, 638, 812, 19, 1453, 20, 9904, 20, 45608, 74, 28, 72, 473, 18, 7946, 2985, 18, 25, 74, 21, 73, 18, 70, 25, 1805, 18, 71, 30, 2188, 7298, 11425, 331, 22, 20, 2177, 7879, 75, 29, 5639, 18, 599, 3222, 18, 2985, 25, 74, 18, 9889, 74, 29, 18, 21, 75, 24, 73, 22, 74, 6913, 1511, 6007, 20, 9904, 18, 3916, 599, 28, 71, 8265, 71, 25, 75, 30574, 71, 27, 6655, 429, 6586, 27, 3916, 23, 75, 23, 74, 29, 73, 28, 18, 7489, 19, 324, 24, 36, 1935, 18, 2387, 18, 1772, 1932, 34, 2029, 10, 24, 41, 10, 2898, 40, 28092, 18, 35705, 18, 42162, 18, 33782, 18, 2169, 18, 42604, 18, 25, 18, 40, 28092, 18, 25676, 19, 324, 24, 10, 2898, 11, 1697, 12, 204, 264, 6858, 68, 1270, 289, 1967, 68, 9316, 68, 1270, 13, 805, 14, 204, 264, 397, 6858, 68, 1270, 31, 204, 268, 510, 68, 417, 289, 1900, 68, 553, 68, 417, 13, 9316, 68, 1270, 14, 204, 268, 456, 13, 553, 68, 417, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 1535, 204, 204, 676, 41831, 31, 204, 264, 320, 204, 264, 2646, 273, 15189, 440, 273, 1012, 329, 1136, 1489, 19, 204, 204, 264, 1532, 31, 204, 268, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 268, 9801, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 10045, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 68, 672, 31, 1804, 17, 5401, 68, 266, 68, 4936, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 41831, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 305, 5401, 68, 266, 68, 4936, 322, 339, 330, 334, 5401, 302, 275, 15189, 292, 3054, 19, 204, 268, 320, 204, 268, 370, 19, 1530, 68, 672, 289, 1012, 68, 672, 204, 268, 370, 19, 3439, 68, 672, 289, 370, 19, 3446, 68, 3439, 68, 672, 13, 1530, 68, 672, 17, 5401, 68, 266, 68, 4936, 14, 204, 204, 264, 436, 949, 68, 3439, 68, 672, 13, 327, 17, 1012, 68, 672, 31, 1804, 17, 5401, 68, 266, 68, 4936, 31, 421, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 3989, 275, 9801, 1489, 1609, 523, 275, 1012, 1489, 329, 5401, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 305, 5401, 68, 266, 68, 4936, 322, 339, 330, 334, 5401, 302, 275, 15189, 292, 3054, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3392, 9801, 1489, 19, 204, 268, 320, 204, 268, 314, 888, 275, 9801, 1489, 560, 5209, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 5401, 311, 275, 1012, 1489, 204, 268, 407, 1012, 68, 672, 465, 8351, 13, 4936, 34, 7083, 68, 266, 68, 4936, 14, 204, 204, 264, 436, 1395, 68, 3439, 68, 672, 13, 327, 17, 717, 68, 3439, 68, 672, 31, 1804, 330, 204, 268, 320, 204, 268, 5307, 275, 9801, 1489, 302, 275, 15189, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 3439, 68, 672, 322, 2664, 330, 334, 717, 9801, 1489, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 9801, 1489, 204, 268, 370, 19, 3439, 68, 672, 289, 717, 68, 3439, 68, 672, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 15189, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 15189, 19, 204, 268, 320, 204, 268, 407, 283, 7, 43347, 497, 463, 327, 19, 1530, 68, 672, 98, 311, 463, 327, 19, 3439, 68, 672, 2495, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 1012, 68, 672, 289, 1804, 19, 1520, 374, 204, 264, 15189, 289, 41831, 13, 1530, 68, 672, 17, 2468, 14, 204, 264, 456, 13, 23701, 14, 204, 204, 264, 314, 1716, 275, 9801, 1489, 204, 264, 717, 68, 3439, 68, 672, 289, 1804, 19, 1520, 374, 465, 8351, 13, 4936, 34, 2682, 14, 204, 264, 15189, 19, 2045, 68, 3439, 68, 672, 13, 1957, 68, 3439, 68, 672, 14, 204, 264, 456, 13, 23701, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 13683, 41516, 15630, 10231, 43025, 22, 2903, 22, 2544, 18239, 408, 1951, 21161, 4763, 16579, 2704, 3733, 2299, 17438, 7386, 3169, 7473, 3227, 15887, 4821, 408, 13406, 16579, 2704, 1254, 3534, 18, 9361, 1002, 24736, 3227, 15887, 408, 36947, 7756, 4004, 6128, 14763, 568, 9993, 3988, 2014, 2299, 2300, 4139, 26, 1191, 408, 18224, 4298, 23, 18224, 22, 1191, 21222, 1258, 1789, 25, 39596, 408, 12682, 24378, 942, 4286, 4885, 408, 21268, 4197, 1886, 24554, 3240, 20785, 3944, 27946, 3152, 1262, 568, 4856, 1946, 7386, 3169, 7473, 1773, 12235, 4015, 7386, 3169, 7473, 14510, 2704, 4002, 34795, 1603, 2183, 30800, 21306, 2615, 6256, 408, 10971, 854, 5757, 6949, 1984, 204, 1748, 4875, 6613, 18, 12232, 6730, 6677, 18047, 2781, 25495, 5972, 13907, 38090, 16691, 11463, 2299, 9510, 16270, 408, 2857, 4500, 12075, 12723, 18, 16645, 7228, 17481, 6111, 2145, 239, 14525, 38090, 3136, 34849, 42403, 1390, 2299, 408, 5843, 20026, 6642, 5385, 921, 7238, 4197, 27472, 9230, 1111, 12977, 568, 21055, 19534, 7115, 42726, 35353, 9230, 5124, 17144, 30398, 408, 3038, 14533, 4532, 8688, 4696, 942, 38548, 21455, 44658, 16579, 2704, 568, 23150, 30707, 15895, 6693, 2183, 2299, 16009, 4298, 27255, 15600, 408, 2014, 2299, 2218, 2684, 241, 34161, 1794, 1789, 408, 2498, 45702, 2274, 7360, 408, 921, 11254, 10747, 460, 23, 1789, 5049, 21365, 408, 28432, 25621, 1970, 1189, 19534, 21222, 1111, 27, 1789, 408, 13406, 921, 11632, 27580, 1926, 19534, 1254, 9361, 18, 3534, 44658, 1111, 16579, 2704, 408, 1254, 6245, 6128, 11457, 5220, 4226, 18094, 1565, 568, 204, 3675, 3227, 15887, 21301, 48253, 7360, 408, 42012, 2183, 30800, 1191, 19591, 1111, 1251, 2499, 6969, 7994, 6613, 18, 5843, 20026, 6642, 408, 921, 5840, 4197, 16240, 2426, 25, 1789, 6221, 21365, 408, 4465, 2526, 3988, 37374, 4821, 6347, 460, 3921, 4298, 1946, 408, 18764, 19185, 16579, 408, 5843, 20026, 6642, 1822, 1822, 21937, 3152, 17399, 1670, 1251, 3304, 2499, 8010, 4298, 31795, 10536, 408, 11448, 921, 25563, 1398, 4265, 4640, 7689, 27472, 9230, 1111, 10251, 12977, 14281, 33706, 695, 126, 2773, 18806, 1001, 1886, 4623, 3013, 1390, 2299, 11409, 11254, 408, 3038, 11632, 10251, 12977, 26964, 6325, 27932, 17413, 3944, 16611, 7712, 1926, 2299, 408, 9238, 921, 10251, 12977, 36399, 1390, 776, 121, 4241, 408, 12319, 1926, 41216, 4265, 1390, 2299, 568, 21055, 2014, 2299, 3879, 4348, 1111, 1003, 11259, 408, 3038, 5843, 20026, 6642, 7441, 1189, 19534, 21222, 1111, 28, 1789, 568, 204, 8185, 31386, 23117, 9510, 16270, 408, 5727, 48647, 34848, 5851, 7335, 7335, 460, 12165, 15518, 3447, 460, 42474, 408, 7466, 31842, 6523, 7228, 4763, 6677, 1227, 4574, 18554, 17156, 1670, 2299, 4384, 408, 45973, 26604, 1604, 256, 6511, 2453, 27946, 460, 2274, 18667, 408, 1990, 2034, 1189, 3227, 15887, 21222, 1111, 1258, 1789, 1845, 1377, 39596, 568, 204, 16579, 2704, 1951, 11211, 1191, 22538, 19454, 22852, 34326, 2014, 2299, 2684, 241, 34161, 3787, 1789, 1258, 1377, 39596, 408, 2253, 19534, 48498, 4760, 9110, 6613, 2791, 18, 14966, 47560, 46463, 30800, 1191, 22978, 6308, 4004, 4821, 22828, 3653, 22538, 1398, 3878, 7162, 5921, 17437, 408, 921, 4004, 4821, 44053, 22828, 3653, 3304, 1398, 408, 14966, 47560, 2014, 2299, 2684, 241, 34161, 5049, 1789, 408, 2499, 3227, 15887, 43898, 6796, 32404, 408, 3675, 14533, 4532, 8688, 4696, 18460, 7756, 44053, 5840, 14763, 568, 921, 12243, 460, 43190, 408, 3227, 15887, 460, 6111, 14758, 3354, 1227, 9993, 2337, 6969, 9374, 45973, 9239, 25213, 4121, 12059, 14966, 47560, 408, 1002, 3675, 2336, 942, 8376, 39888, 460, 1670, 10632, 1456, 408, 13406, 921, 7005, 4121, 28846, 408, 14966, 47560, 10880, 1794, 1789, 1899, 34703, 568, 204, 12994, 408, 2791, 6111, 18, 8494, 3169, 460, 3944, 10539, 7059, 16579, 2704, 6817, 3178, 7080, 1251, 10859, 408, 11254, 9398, 9827, 4197, 1398, 408, 2453, 2499, 8494, 3169, 2065, 16847, 12151, 44265, 7228, 18, 6111, 14758, 8127, 6613, 8383, 40954, 408, 46062, 36777, 3784, 15518, 3447, 3944, 17403, 10539, 1670, 2299, 408, 6663, 33366, 30058, 41734, 22015, 460, 16579, 2704, 13321, 1390, 2235, 41919, 20302, 13683, 41516, 15630, 1984, 23900, 2321, 3079, 12530, 2653, 204, 0, 647, 304, 204, 204, 676, 11402, 31, 204, 264, 320, 204, 264, 2646, 273, 3754, 440, 273, 1043, 588, 17, 1673, 588, 17, 329, 3783, 542, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1043, 68, 417, 31, 394, 289, 443, 17, 1673, 68, 417, 31, 394, 289, 443, 17, 3783, 68, 1190, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 1865, 273, 11402, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1043, 68, 417, 322, 325, 330, 334, 1043, 588, 302, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 3754, 19, 204, 305, 1673, 68, 417, 322, 325, 330, 334, 1673, 588, 302, 275, 3754, 19, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 302, 275, 3754, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 1169, 302, 275, 2072, 529, 508, 3157, 19, 204, 305, 987, 31, 828, 275, 3783, 542, 353, 508, 292, 275, 1706, 1883, 19, 204, 268, 320, 204, 268, 314, 778, 397, 2072, 529, 3157, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2922, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 5834, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2391, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 12378, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 329, 508, 2381, 13, 4700, 68, 1190, 17, 394, 330, 204, 305, 980, 3660, 499, 15351, 542, 1631, 444, 273, 782, 1280, 204, 204, 268, 314, 3866, 3783, 542, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 397, 508, 370, 806, 360, 68, 1018, 68, 4700, 68, 1190, 13, 4700, 68, 1190, 330, 204, 485, 980, 987, 499, 1962, 3783, 542, 19, 2982, 732, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 1280, 204, 204, 268, 370, 19, 2922, 68, 417, 31, 394, 289, 1043, 68, 417, 204, 268, 370, 19, 2391, 68, 417, 31, 394, 289, 1673, 68, 417, 204, 268, 370, 19, 4700, 68, 1190, 31, 394, 289, 3783, 68, 1190, 204, 268, 370, 19, 6451, 68, 932, 31, 394, 289, 388, 3739, 22040, 7, 204, 204, 264, 436, 906, 360, 68, 1018, 68, 4700, 68, 1190, 13, 327, 17, 3783, 68, 1190, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 3783, 542, 353, 292, 275, 1706, 1883, 19, 204, 204, 268, 457, 31, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3783, 542, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 15155, 2231, 311, 2216, 3783, 886, 292, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 204, 268, 2679, 289, 304, 19, 7354, 13, 87, 7, 10584, 73, 96, 24, 20744, 73, 96, 24, 20744, 73, 96, 25, 1617, 431, 204, 268, 407, 1109, 13, 4745, 19, 4054, 13, 4700, 68, 1190, 602, 204, 204, 264, 436, 1395, 68, 6451, 13, 327, 17, 1043, 68, 417, 31, 394, 289, 443, 17, 1673, 68, 417, 31, 394, 289, 443, 17, 3783, 68, 1190, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 5307, 275, 3754, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 1043, 68, 417, 322, 325, 330, 334, 717, 1043, 588, 302, 275, 3754, 19, 204, 305, 1673, 68, 417, 322, 325, 330, 334, 717, 1673, 588, 302, 275, 3754, 19, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 717, 3783, 542, 302, 275, 3754, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 1169, 302, 275, 2072, 529, 508, 3157, 19, 204, 305, 987, 31, 828, 275, 3783, 542, 353, 508, 292, 275, 1706, 1883, 19, 204, 268, 320, 204, 268, 314, 778, 397, 2072, 529, 3157, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2922, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 5834, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2391, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 12378, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 329, 508, 2381, 13, 4700, 68, 1190, 17, 394, 330, 204, 305, 980, 3660, 499, 15351, 542, 1631, 444, 273, 782, 1280, 204, 204, 268, 314, 3866, 3783, 542, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 397, 508, 370, 806, 360, 68, 1018, 68, 4700, 68, 1190, 13, 4700, 68, 1190, 330, 204, 485, 980, 987, 499, 1962, 3783, 542, 19, 2982, 732, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 1280, 204, 204, 268, 314, 1716, 3754, 1483, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 31, 204, 305, 370, 19, 2922, 68, 417, 289, 1043, 68, 417, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 31, 204, 305, 370, 19, 2391, 68, 417, 289, 1673, 68, 417, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 370, 19, 4700, 68, 1190, 289, 3783, 68, 1190, 204, 204, 264, 436, 4080, 68, 6451, 13, 327, 330, 204, 268, 320, 204, 268, 19795, 275, 3754, 19, 204, 268, 320, 204, 268, 370, 19, 6451, 68, 932, 289, 388, 46983, 7, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 11402, 726, 19, 204, 268, 320, 204, 268, 407, 283, 7, 2687, 31, 463, 327, 19, 2922, 68, 417, 98, 463, 327, 19, 2391, 68, 417, 1522, 16769, 3239, 31, 463, 327, 19, 4700, 68, 1190, 1522, 2838, 31, 463, 327, 19, 6451, 68, 932, 2495, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3754, 289, 11402, 499, 6192, 528, 388, 21869, 528, 388, 4326, 18, 7372, 18, 25820, 431, 204, 264, 456, 13, 6451, 14, 204, 204, 264, 314, 1716, 3754, 1483, 204, 264, 3754, 19, 2045, 68, 6451, 13, 2391, 68, 417, 1022, 34494, 431, 204, 264, 456, 13, 6451, 14, 204, 204, 264, 314, 6676, 3754, 204, 264, 3754, 19, 4216, 68, 6451, 374, 204, 264, 456, 13, 6451, 14, 204, 0, 6765, 6049, 29639, 13391, 23037, 5124, 408, 4945, 6445, 1603, 23037, 5124, 1002, 17979, 408, 3922, 3571, 2336, 3654, 408, 12562, 25391, 23037, 22152, 408, 7756, 23037, 22152, 460, 13402, 408, 14041, 9276, 2174, 12562, 942, 23887, 30061, 408, 6271, 34172, 22084, 7533, 17092, 23037, 22152, 20244, 408, 6663, 37832, 1002, 25950, 18276, 3944, 38242, 4900, 1773, 408, 15699, 18724, 1670, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8208, 408, 8792, 7413, 12854, 408, 1002, 25950, 42726, 23037, 22152, 460, 17144, 30398, 568, 8465, 17092, 23037, 22152, 20244, 25216, 8922, 3812, 204, 22, 725, 10490, 9276, 2065, 23037, 22152, 8383, 10369, 460, 15272, 568, 2278, 2801, 242, 11620, 2114, 23037, 15025, 11574, 26998, 1390, 8010, 1971, 1401, 725, 24592, 4129, 1401, 725, 10364, 5170, 1002, 20202, 460, 23037, 46163, 3105, 100, 725, 23037, 4299, 11413, 1955, 568, 204, 23, 725, 1345, 48565, 15191, 20703, 18423, 568, 10732, 20703, 1002, 2093, 1398, 2093, 2359, 725, 16733, 9058, 16733, 5173, 725, 1899, 5173, 1811, 4565, 1811, 46667, 408, 1603, 23037, 11691, 36068, 10884, 22960, 408, 2065, 23037, 22152, 40195, 942, 7191, 9978, 568, 204, 24, 725, 4076, 7960, 2860, 1002, 7960, 5817, 240, 10086, 568, 7466, 4044, 19007, 1191, 24477, 2860, 1367, 9014, 17087, 7388, 45606, 10000, 18005, 1227, 33550, 40426, 408, 9398, 1843, 2006, 1946, 921, 7191, 34239, 1367, 32942, 7388, 45606, 40426, 4044, 44718, 2654, 408, 27764, 44718, 2654, 30164, 20945, 5584, 22152, 16122, 568, 204, 25, 725, 4076, 7960, 2860, 1002, 7960, 18005, 5817, 240, 725, 12709, 7769, 243, 725, 5351, 24608, 1227, 20960, 23449, 19007, 2278, 41662, 12019, 725, 6444, 24393, 725, 35228, 11413, 1955, 18005, 5817, 240, 11611, 6764, 24477, 3976, 14818, 18005, 408, 942, 8275, 23037, 15865, 11361, 460, 19219, 2114, 408, 5718, 6573, 19007, 921, 11135, 9878, 1432, 2678, 5584, 22152, 16122, 24, 18, 25, 34612, 2823, 2632, 252, 23056, 9145, 2253, 13751, 23037, 22152, 8383, 568, 204, 26, 725, 48565, 38136, 1531, 4299, 18423, 568, 48565, 30731, 460, 1531, 4299, 408, 6395, 1398, 43805, 725, 6395, 1398, 3152, 12068, 408, 9632, 34139, 460, 36269, 408, 34139, 460, 36269, 854, 38136, 9632, 408, 6960, 1843, 2006, 29390, 2034, 408, 9145, 44325, 20292, 460, 23324, 568, 204, 27, 725, 22426, 10700, 990, 1789, 1459, 121, 2366, 8464, 23037, 22152, 10943, 17092, 4770, 8681, 8922, 3812, 45134, 460, 13154, 23717, 2386, 2402, 34374, 1367, 13751, 23037, 22152, 460, 33531, 3655, 45400, 16902, 14122, 408, 1262, 1459, 121, 2455, 1251, 16154, 4771, 7960, 725, 17369, 2065, 7402, 4304, 1603, 4304, 41335, 13951, 1955, 11934, 22664, 44525, 4296, 5124, 14122, 568, 204, 21630, 25009, 17754, 18557, 10144, 408, 6445, 1603, 17092, 23037, 22152, 460, 15378, 2402, 17955, 31425, 10454, 3812, 22027, 10233, 19238, 19745, 408, 22027, 2780, 14041, 3601, 5759, 5591, 408, 13643, 2780, 22447, 20189, 5844, 12854, 408, 942, 17864, 5844, 12854, 2780, 11753, 2014, 33284, 1773, 16294, 1524, 2780, 2405, 45240, 19774, 1191, 3601, 408, 6271, 6445, 16192, 5629, 4831, 2174, 7413, 23037, 408, 5629, 4831, 2174, 7413, 12854, 568, 204, 0, 531, 10271, 532, 3207, 204, 204, 461, 1451, 68, 935, 13, 553, 68, 546, 31, 394, 14, 393, 3207, 1152, 443, 31, 204, 264, 320, 204, 264, 23763, 437, 752, 497, 273, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 1152, 443, 31, 334, 11771, 752, 17, 521, 443, 397, 275, 510, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 752, 497, 275, 800, 510, 832, 204, 268, 407, 3207, 19, 3664, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 443, 204, 204, 461, 1814, 68, 633, 68, 17317, 13, 935, 31, 3207, 14, 393, 3207, 31, 204, 264, 320, 204, 264, 8109, 437, 752, 311, 8818, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 31, 334, 8818, 752, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1814, 1216, 311, 2652, 275, 752, 2291, 311, 379, 49, 12, 322, 17317, 14, 204, 264, 407, 752, 19, 6470, 611, 49, 534, 204, 204, 461, 7023, 68, 30382, 13, 935, 31, 3207, 17, 3442, 31, 421, 14, 393, 3207, 31, 204, 264, 320, 204, 264, 14312, 88, 275, 10420, 302, 437, 752, 560, 5465, 9685, 440, 1019, 5084, 273, 3442, 311, 4580, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 7023, 19, 204, 268, 3442, 322, 339, 330, 334, 3442, 700, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 31, 334, 752, 440, 14201, 10420, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 917, 1216, 311, 3120, 273, 4464, 741, 311, 848, 6729, 292, 275, 752, 204, 264, 407, 752, 19, 1096, 13, 3605, 296, 31, 4580, 397, 296, 962, 3442, 902, 296, 14, 204, 204, 461, 2037, 68, 935, 13, 935, 31, 3207, 17, 1724, 31, 394, 289, 388, 3873, 431, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 437, 752, 440, 273, 800, 1724, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 2037, 19, 204, 268, 1724, 322, 325, 17, 1448, 330, 334, 1724, 302, 275, 752, 19, 1243, 311, 388, 3873, 2948, 204, 264, 320, 204, 264, 314, 1974, 275, 2248, 1216, 311, 2037, 275, 752, 204, 264, 752, 19, 2896, 13, 1778, 34, 1778, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 968, 275, 510, 832, 311, 275, 752, 204, 264, 510, 68, 546, 289, 379, 3162, 19, 4955, 12, 204, 615, 264, 314, 3594, 275, 752, 497, 275, 510, 832, 204, 264, 752, 289, 1451, 68, 935, 13, 553, 68, 546, 14, 204, 615, 264, 397, 752, 31, 204, 268, 314, 2208, 275, 752, 311, 8818, 204, 268, 8818, 68, 935, 289, 1814, 68, 633, 68, 17317, 13, 935, 14, 204, 822, 268, 314, 14312, 275, 10420, 302, 275, 8818, 752, 204, 268, 14201, 68, 17317, 68, 935, 289, 7023, 68, 30382, 13, 17317, 68, 935, 17, 5074, 14, 204, 822, 268, 314, 3740, 275, 14201, 8818, 752, 204, 268, 2037, 68, 935, 13, 29120, 68, 17317, 68, 935, 17, 388, 42043, 336, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28518, 3782, 3207, 431, 204, 822, 268, 314, 3736, 275, 752, 1025, 1163, 1848, 6505, 204, 268, 1848, 68, 4588, 289, 752, 19, 1590, 374, 204, 822, 268, 314, 14312, 275, 10420, 302, 848, 1848, 3906, 204, 268, 14201, 68, 2640, 68, 4588, 289, 551, 16026, 68, 30382, 13, 4782, 17, 5074, 14, 348, 3906, 292, 1848, 68, 4588, 66, 204, 822, 268, 314, 3740, 848, 14201, 1848, 3906, 204, 268, 348, 296, 17, 3906, 292, 3209, 13, 29120, 68, 2640, 68, 4588, 330, 204, 305, 2037, 68, 935, 13, 4782, 17, 283, 7, 42043, 336, 8329, 18414, 463, 78, 16, 22, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 12082, 348, 275, 35874, 28811, 302, 12503, 28811, 9389, 204, 204, 1449, 1020, 275, 6414, 6795, 302, 273, 3700, 6795, 2364, 17, 572, 618, 732, 273, 2089, 1609, 523, 1582, 7156, 329, 1525, 7156, 19, 716, 204, 4377, 273, 6783, 440, 300, 2731, 17, 572, 618, 1173, 275, 7575, 525, 1283, 970, 2731, 448, 273, 12713, 1525, 357, 13, 78, 17, 781, 659, 1273, 357, 13, 78, 17, 781, 14, 353, 275, 7575, 525, 1283, 2731, 296, 329, 781, 19, 204, 204, 673, 3214, 311, 1020, 275, 6414, 6795, 1283, 970, 2731, 529, 448, 6353, 31, 204, 204, 22, 19, 666, 273, 1525, 502, 2457, 275, 1582, 17, 1273, 275, 667, 8166, 1842, 529, 275, 1066, 302, 830, 7575, 525, 523, 275, 1729, 1237, 11983, 560, 338, 22, 19, 204, 23, 19, 3182, 275, 1673, 1237, 329, 275, 1673, 1837, 302, 275, 1525, 311, 636, 275, 1525, 313, 19, 204, 24, 19, 888, 275, 14248, 302, 313, 17, 13772, 448, 1152, 57, 36879, 204, 25, 19, 4546, 275, 7575, 525, 357, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 440, 368, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 17, 13772, 448, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 368, 10808, 19, 204, 26, 19, 4546, 275, 7575, 525, 357, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 440, 500, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 17, 13772, 448, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 500, 10808, 19, 204, 27, 19, 334, 6414, 7575, 525, 501, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 353, 800, 560, 275, 2089, 31, 204, 204, 44, 13, 78, 17, 781, 14, 289, 1152, 57, 97, 802, 322, 97, 57, 13, 76, 13, 78, 17, 781, 14, 289, 368, 10808, 338, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 500, 10808, 14, 204, 204, 28, 19, 334, 6414, 6795, 361, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 353, 800, 560, 275, 2089, 31, 204, 204, 55, 13, 78, 17, 781, 14, 289, 368, 802, 501, 13, 78, 17, 781, 14, 204, 204, 3070, 1763, 17, 2506, 273, 6783, 440, 681, 2731, 329, 275, 2631, 7575, 525, 1525, 31, 204, 204, 76, 13, 22, 17, 435, 14, 289, 368, 17, 357, 13, 22, 17, 571, 14, 289, 435, 17, 357, 13, 22, 17, 681, 14, 289, 571, 17, 357, 13, 23, 17, 571, 14, 289, 681, 17, 357, 13, 23, 17, 681, 14, 289, 720, 17, 357, 13, 24, 17, 681, 14, 289, 887, 204, 204, 673, 1525, 502, 2457, 275, 1582, 353, 31, 204, 204, 50, 289, 3168, 204, 204, 673, 1525, 313, 353, 8744, 560, 7057, 275, 1673, 1237, 329, 1837, 31, 204, 204, 57, 289, 3168, 204, 204, 673, 14248, 302, 313, 353, 1152, 57, 97, 289, 338, 4656, 27, 19, 204, 204, 1449, 1020, 275, 6414, 6795, 1283, 2731, 368, 329, 435, 17, 572, 4066, 357, 13, 22, 17, 435, 14, 440, 368, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 31, 204, 204, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 368, 10808, 289, 338, 4656, 27, 204, 204, 2310, 1425, 4066, 357, 13, 22, 17, 435, 14, 440, 500, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 31, 204, 204, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 500, 10808, 289, 338, 25, 2500, 204, 204, 673, 6414, 7575, 525, 501, 13, 22, 17, 435, 14, 353, 31, 204, 204, 44, 13, 22, 17, 435, 14, 289, 1152, 57, 97, 802, 322, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 368, 10808, 338, 1152, 57, 13, 76, 13, 22, 17, 435, 14, 289, 500, 10808, 14, 289, 3457, 4656, 27, 14, 802, 36387, 4656, 27, 14, 338, 3457, 25, 2500, 602, 289, 38403, 20, 3268, 289, 681, 19, 23, 21062, 204, 204, 673, 6414, 6795, 361, 13, 22, 17, 435, 14, 353, 31, 204, 204, 55, 13, 22, 17, 435, 14, 289, 368, 802, 501, 13, 22, 17, 435, 14, 289, 368, 802, 681, 19, 23, 21062, 289, 500, 19, 3787, 9706, 204, 204, 24911, 17, 572, 618, 1020, 275, 6414, 6795, 1283, 904, 2731, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 24, 204, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 4778, 19, 2923, 532, 41311, 17, 3301, 39938, 204, 531, 4778, 532, 38698, 204, 647, 6280, 204, 647, 1875, 204, 647, 2454, 204, 647, 3238, 204, 204, 676, 16735, 4441, 13, 3295, 39938, 330, 204, 264, 320, 204, 264, 332, 2363, 3426, 824, 4713, 496, 32388, 311, 4559, 2164, 19, 204, 204, 264, 1532, 31, 204, 268, 443, 204, 204, 264, 10523, 31, 204, 268, 770, 68, 5016, 31, 5133, 4559, 2164, 560, 7553, 273, 2084, 958, 440, 275, 9571, 19, 204, 264, 320, 204, 204, 264, 436, 770, 68, 5016, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 4559, 2164, 560, 7553, 273, 2084, 958, 440, 275, 9571, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 2707, 958, 204, 305, 370, 19, 3345, 68, 1935, 13, 6654, 5330, 19, 7444, 14, 204, 305, 370, 19, 3345, 68, 4603, 611, 8334, 18, 932, 491, 379, 5580, 20, 1775, 534, 204, 305, 370, 19, 409, 68, 5093, 374, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 3123, 305, 314, 763, 275, 9571, 329, 838, 273, 958, 955, 204, 305, 9571, 289, 6280, 19, 1241, 374, 204, 305, 958, 68, 481, 289, 2552, 417, 597, 9571, 98, 204, 3123, 305, 314, 3400, 275, 958, 424, 311, 275, 919, 4457, 204, 305, 370, 19, 42482, 19, 2206, 13, 1775, 19, 7362, 13, 1935, 68, 481, 789, 4170, 611, 3102, 18, 29, 3063, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 329, 2566, 437, 908, 958, 204, 305, 370, 19, 3345, 68, 1935, 13, 6654, 5330, 19, 30684, 68, 12920, 68, 8252, 14, 204, 305, 370, 19, 3345, 68, 4603, 611, 8334, 18, 932, 491, 379, 492, 20, 17732, 534, 204, 305, 370, 19, 409, 68, 5093, 374, 204, 305, 370, 19, 42482, 19, 2206, 13, 75, 7, 596, 31, 463, 325, 13, 74, 14, 14303, 4170, 611, 3102, 18, 29, 3063, 204, 204, 461, 1523, 68, 2923, 13, 2463, 31, 394, 17, 2054, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 3426, 1981, 440, 275, 1713, 2442, 329, 2054, 19, 204, 204, 264, 457, 31, 204, 268, 2442, 322, 325, 330, 334, 2442, 311, 8523, 275, 1981, 311, 19, 204, 268, 2054, 322, 339, 330, 334, 2054, 311, 8523, 275, 1981, 311, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 1981, 1995, 927, 204, 264, 1981, 68, 2820, 289, 322, 2463, 17, 2054, 14, 204, 615, 264, 314, 666, 437, 3426, 1981, 1014, 204, 264, 41760, 289, 41311, 13, 2923, 68, 2820, 17, 16735, 4441, 14, 204, 615, 264, 810, 31, 204, 268, 314, 1198, 273, 943, 5850, 275, 1981, 353, 15620, 204, 268, 456, 13, 75, 7, 1218, 6533, 523, 463, 2463, 10829, 898, 29358, 204, 822, 268, 314, 4055, 275, 1981, 204, 268, 41760, 19, 15168, 68, 28861, 374, 204, 264, 827, 16797, 31, 204, 268, 314, 1426, 11245, 17346, 88, 329, 3671, 275, 1981, 3056, 204, 268, 41760, 19, 2794, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 437, 4601, 1732, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 6552, 437, 3426, 1981, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2463, 491, 1187, 34, 325, 17, 1540, 833, 7714, 491, 1340, 833, 673, 2442, 311, 8523, 275, 1981, 311, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 898, 491, 1187, 34, 339, 17, 1540, 34, 2169, 2169, 17, 1340, 833, 673, 2054, 311, 8523, 275, 1981, 311, 534, 204, 615, 264, 314, 2735, 275, 1354, 1007, 1906, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 615, 264, 314, 2466, 275, 1981, 204, 264, 1523, 68, 2923, 13, 1038, 19, 2463, 17, 2042, 19, 898, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 275, 1945, 798, 302, 275, 1581, 204, 673, 1844, 12692, 348, 275, 5372, 18, 9097, 798, 302, 273, 1007, 17, 928, 353, 800, 560, 469, 289, 14566, 465, 308, 17, 1273, 309, 353, 275, 5372, 329, 308, 353, 275, 469, 18, 9097, 19, 1785, 529, 800, 275, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 273, 917, 523, 275, 1007, 322, 25, 17, 435, 789, 204, 204, 658, 1687, 435, 31, 3291, 275, 5372, 18, 9097, 798, 974, 275, 800, 917, 329, 5372, 204, 1449, 1020, 275, 1581, 302, 275, 1007, 17, 572, 8776, 275, 800, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 275, 917, 322, 93, 289, 681, 17, 469, 289, 435, 14, 1025, 275, 5372, 18, 9097, 798, 19, 1058, 4658, 451, 435, 289, 322, 22, 20, 23, 3085, 25, 14, 465, 308, 19, 204, 204, 658, 1687, 571, 31, 6597, 348, 308, 17, 275, 469, 18, 9097, 204, 2310, 949, 322, 22, 20, 23, 3085, 25, 14, 289, 435, 19, 4087, 275, 1581, 6401, 435, 289, 435, 465, 308, 19, 2416, 2616, 348, 308, 17, 572, 5400, 435, 497, 1855, 2902, 302, 275, 1581, 17, 928, 4658, 451, 308, 289, 500, 19, 204, 204, 658, 1687, 681, 31, 3400, 275, 1581, 292, 5372, 18, 9097, 798, 204, 4063, 496, 572, 2379, 275, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 275, 469, 18, 9097, 322, 71, 289, 500, 659, 572, 618, 2281, 275, 1581, 302, 275, 1007, 292, 5372, 18, 9097, 798, 31, 469, 289, 322, 22, 20, 23, 14, 93, 465, 500, 17, 928, 11388, 311, 469, 289, 322, 22, 20, 23, 14, 93, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 94, 289, 688, 1209, 96, 22, 1134, 23, 98, 93, 1617, 0, 676, 13392, 7131, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 3678, 1435, 424, 4147, 19, 204, 615, 264, 1532, 31, 204, 264, 1302, 322, 339, 330, 334, 1302, 302, 275, 3678, 1435, 19, 204, 264, 1435, 322, 655, 330, 332, 458, 2457, 275, 3678, 1435, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 886, 31, 458, 64, 339, 694, 393, 443, 31, 204, 268, 320, 204, 268, 977, 273, 3678, 1435, 440, 273, 800, 458, 302, 886, 19, 204, 822, 268, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 311, 1640, 292, 275, 3678, 1435, 19, 204, 268, 320, 204, 268, 314, 11420, 273, 2727, 542, 448, 275, 1302, 302, 275, 3678, 1435, 311, 14792, 19986, 204, 268, 370, 19, 835, 289, 1433, 25, 5839, 204, 268, 370, 19, 1867, 289, 551, 3170, 66, 540, 370, 19, 835, 204, 268, 314, 1974, 273, 1182, 19707, 3678, 741, 311, 5695, 19986, 204, 268, 348, 771, 292, 886, 31, 204, 305, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 305, 314, 1426, 19986, 560, 14460, 886, 292, 273, 458, 630, 275, 1729, 1112, 204, 305, 397, 370, 19, 1867, 64, 998, 66, 353, 443, 31, 204, 485, 370, 19, 1867, 64, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 998, 66, 289, 551, 920, 66, 204, 305, 902, 31, 204, 485, 370, 19, 1867, 64, 998, 1664, 1223, 13, 920, 14, 204, 204, 264, 436, 906, 4074, 13, 327, 17, 771, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 888, 275, 3678, 700, 302, 273, 542, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 949, 275, 3678, 700, 348, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 3678, 700, 302, 275, 542, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 3277, 3678, 741, 348, 6893, 5356, 204, 268, 407, 421, 13, 920, 930, 368, 19, 26, 14, 1564, 370, 19, 835, 204, 204, 264, 436, 3192, 13, 327, 17, 771, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 542, 353, 292, 275, 3678, 1435, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 1356, 19, 204, 822, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 542, 353, 292, 275, 3678, 1435, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 268, 314, 778, 397, 275, 542, 353, 292, 275, 458, 630, 275, 3392, 1112, 204, 268, 407, 771, 292, 370, 19, 1867, 64, 998, 66, 397, 370, 19, 1867, 64, 998, 66, 353, 508, 443, 902, 1078, 204, 204, 264, 436, 3142, 13, 327, 17, 771, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3182, 273, 542, 497, 275, 3678, 1435, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 3142, 19, 204, 268, 320, 204, 268, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 268, 314, 3182, 275, 542, 497, 275, 458, 630, 275, 3392, 1112, 204, 268, 397, 370, 19, 1867, 64, 998, 66, 353, 508, 443, 31, 204, 305, 370, 19, 1867, 64, 998, 66, 289, 551, 93, 348, 610, 292, 370, 19, 1867, 64, 998, 66, 397, 610, 2167, 771, 66, 204, 204, 264, 436, 1020, 68, 11867, 68, 15391, 68, 2626, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 1752, 275, 6726, 6920, 1767, 292, 275, 3678, 1435, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 1277, 302, 275, 6726, 6920, 1767, 19, 204, 268, 320, 204, 268, 846, 68, 1205, 289, 500, 204, 268, 314, 666, 273, 758, 302, 886, 292, 275, 3678, 1435, 348, 6184, 24312, 204, 268, 771, 68, 574, 289, 758, 374, 204, 268, 348, 6382, 292, 370, 19, 1867, 31, 204, 305, 397, 6382, 353, 508, 443, 31, 204, 485, 771, 68, 574, 19, 2045, 13, 7853, 14, 204, 822, 268, 348, 771, 292, 771, 68, 574, 31, 204, 305, 314, 778, 397, 275, 790, 542, 353, 275, 1012, 302, 273, 1767, 204, 305, 397, 771, 338, 368, 508, 292, 771, 68, 574, 31, 204, 485, 790, 68, 920, 289, 771, 204, 485, 790, 68, 1205, 289, 368, 204, 485, 1335, 790, 68, 920, 465, 368, 292, 771, 68, 574, 31, 204, 895, 790, 68, 920, 1412, 368, 204, 895, 790, 68, 1205, 1412, 368, 204, 485, 846, 68, 1205, 289, 846, 13, 1129, 68, 1205, 17, 790, 68, 1205, 14, 204, 268, 407, 846, 68, 1205, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 763, 537, 497, 275, 575, 204, 264, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 273, 458, 302, 886, 5289, 560, 5685, 31, 6165, 1590, 5887, 204, 264, 3678, 68, 1867, 289, 13392, 7131, 13, 1630, 14, 204, 264, 722, 289, 3678, 68, 1867, 19, 2269, 68, 11867, 68, 15391, 68, 2626, 374, 204, 264, 456, 499, 673, 1277, 302, 275, 6726, 6920, 1767, 353, 2180, 722, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 204, 8, 26552, 3454, 204, 676, 8187, 31, 204, 264, 320, 5346, 348, 7850, 1279, 204, 264, 346, 1889, 44, 10042, 289, 379, 2837, 76, 557, 12, 204, 264, 471, 26580, 9929, 1000, 289, 379, 336, 1637, 1333, 12, 204, 204, 676, 38738, 31, 204, 264, 320, 5346, 348, 424, 3003, 1279, 204, 264, 15201, 1318, 289, 379, 10640, 12, 204, 264, 471, 11186, 40, 4380, 289, 379, 25808, 12, 204, 264, 332, 9481, 31863, 8723, 289, 379, 4115, 5926, 12, 204, 204, 676, 10122, 37582, 44810, 31, 204, 264, 320, 5346, 348, 3585, 5926, 2630, 1279, 204, 264, 346, 1889, 44, 10042, 289, 3134, 9335, 68, 417, 528, 388, 6854, 528, 388, 672, 528, 388, 5670, 68, 14240, 68, 876, 1339, 204, 204, 8, 1594, 14360, 348, 848, 3226, 204, 46506, 68, 6355, 289, 463, 204, 264, 8187, 19, 21425, 44, 10042, 31, 463, 204, 268, 38738, 19, 45220, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 10598, 5831, 18, 2418, 23, 94, 19, 2039, 528, 204, 268, 38738, 19, 3185, 33387, 4380, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 76, 632, 72, 18, 5226, 75, 24, 19, 2039, 528, 204, 268, 38738, 19, 41442, 31863, 8723, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 5303, 34461, 18, 29675, 30, 93, 19, 2039, 528, 204, 264, 4752, 204, 264, 8187, 19, 3185, 50, 9929, 1000, 31, 463, 204, 268, 38738, 19, 45220, 31, 388, 3189, 1963, 481, 19, 336, 1637, 1333, 19, 1389, 20, 5433, 20, 16358, 33703, 18, 95, 91, 21805, 19, 2039, 7, 204, 264, 1211, 204, 98, 204, 204, 676, 1594, 42650, 31, 204, 264, 320, 204, 264, 4071, 424, 497, 275, 1713, 3226, 329, 424, 1187, 19, 204, 204, 264, 1532, 31, 204, 268, 3226, 68, 481, 322, 873, 330, 332, 955, 1174, 424, 5448, 348, 848, 3226, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3226, 68, 481, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 1594, 42650, 19, 204, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 457, 31, 204, 305, 3226, 68, 481, 322, 873, 330, 332, 955, 1174, 424, 5448, 348, 848, 3226, 19, 204, 268, 320, 204, 268, 370, 19, 5419, 68, 481, 289, 3226, 68, 481, 204, 204, 264, 436, 636, 68, 481, 13, 327, 17, 3226, 31, 394, 17, 424, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 4071, 424, 497, 275, 1713, 3226, 329, 424, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 3226, 322, 325, 330, 334, 3226, 311, 3686, 424, 497, 19, 204, 305, 424, 68, 932, 322, 325, 330, 334, 1187, 302, 424, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 8781, 424, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 424, 1977, 1583, 508, 1337, 348, 275, 1713, 3226, 329, 424, 1187, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1274, 348, 275, 1713, 3226, 329, 424, 1187, 204, 305, 1779, 289, 370, 19, 5419, 68, 481, 64, 5419, 1799, 481, 68, 932, 66, 204, 305, 314, 1606, 275, 2306, 424, 497, 275, 1274, 204, 305, 2349, 289, 1246, 19, 976, 68, 2039, 13, 805, 14, 204, 268, 827, 7323, 31, 204, 305, 314, 5149, 437, 908, 397, 275, 424, 1977, 1583, 508, 1337, 204, 305, 980, 987, 13, 75, 7, 989, 1977, 1583, 508, 1337, 348, 463, 481, 68, 932, 98, 292, 463, 5419, 743, 204, 204, 268, 407, 2349, 204, 204, 264, 436, 3106, 68, 4115, 68, 11382, 68, 481, 13, 327, 17, 2349, 31, 1246, 19, 1362, 17, 3226, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 25027, 275, 3585, 5926, 424, 560, 7057, 8557, 2630, 19, 204, 204, 268, 457, 31, 204, 305, 2349, 322, 2600, 19, 1362, 330, 334, 424, 311, 3106, 19, 204, 305, 3226, 322, 325, 330, 334, 3226, 275, 424, 353, 497, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 5872, 424, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 1837, 1987, 529, 2872, 348, 275, 1713, 3226, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 2630, 311, 3550, 348, 275, 1713, 3226, 204, 305, 397, 3226, 564, 8187, 19, 21425, 44, 10042, 31, 204, 485, 2630, 68, 633, 68, 11472, 289, 10122, 37582, 44810, 19, 21425, 44, 10042, 204, 305, 902, 31, 204, 485, 980, 987, 13, 75, 7, 1962, 3226, 31, 463, 5419, 743, 204, 305, 314, 763, 275, 2630, 311, 5790, 204, 305, 2630, 68, 633, 68, 5613, 289, 551, 72, 348, 279, 292, 2349, 19, 3786, 397, 279, 508, 292, 2630, 68, 633, 68, 11472, 66, 204, 305, 314, 9738, 275, 8557, 2630, 204, 305, 2349, 289, 2349, 19, 5613, 13, 3786, 68, 633, 68, 5613, 17, 3138, 34, 22, 14, 204, 268, 827, 7323, 31, 204, 305, 314, 5149, 437, 908, 397, 275, 1837, 1987, 529, 2872, 204, 305, 980, 987, 13, 75, 7, 1962, 1837, 1987, 348, 463, 5419, 98, 3585, 5926, 424, 431, 204, 204, 268, 407, 2349, 204, 204, 204, 676, 38982, 31, 204, 264, 320, 204, 264, 9506, 275, 8781, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 424, 68, 9362, 1826, 322, 989, 42650, 330, 334, 1594, 42650, 1014, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 68, 9362, 1826, 31, 1594, 42650, 330, 204, 268, 320, 204, 268, 1865, 275, 38982, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 9362, 1826, 322, 989, 42650, 330, 334, 1594, 42650, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 481, 68, 9362, 1826, 289, 424, 68, 9362, 1826, 204, 204, 264, 436, 1352, 68, 481, 13, 327, 17, 3226, 31, 394, 17, 424, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 4071, 329, 6332, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 3226, 322, 325, 330, 334, 3226, 311, 3686, 424, 497, 19, 204, 305, 424, 68, 932, 322, 325, 330, 334, 1187, 302, 424, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 4050, 424, 19, 204, 268, 320, 204, 268, 314, 4491, 275, 424, 204, 268, 2349, 289, 370, 19, 481, 68, 9362, 1826, 19, 505, 68, 481, 13, 5419, 17, 424, 68, 932, 14, 204, 204, 268, 314, 8414, 275, 3585, 5926, 424, 397, 3600, 204, 268, 397, 424, 68, 932, 564, 38738, 19, 41442, 31863, 8723, 31, 204, 305, 2349, 289, 370, 19, 481, 68, 9362, 1826, 19, 5614, 68, 4115, 68, 11382, 68, 481, 13, 1695, 17, 3226, 14, 204, 204, 268, 407, 2349, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 456, 499, 7820, 336, 2907, 431, 204, 264, 314, 666, 273, 1594, 42650, 1014, 204, 264, 424, 68, 9362, 1826, 289, 1594, 42650, 13, 46506, 68, 6355, 14, 204, 264, 314, 666, 273, 38982, 1014, 204, 264, 424, 68, 9306, 289, 38982, 13, 481, 68, 9362, 1826, 14, 204, 264, 314, 3325, 275, 3585, 5926, 424, 348, 3505, 76, 557, 204, 264, 2349, 289, 424, 68, 9306, 19, 1616, 68, 481, 13, 16693, 19, 21425, 44, 10042, 17, 38738, 19, 41442, 31863, 8723, 14, 204, 264, 397, 2349, 353, 508, 443, 31, 204, 268, 314, 1198, 275, 1043, 720, 3015, 302, 275, 4050, 424, 204, 268, 456, 13, 1695, 19, 1885, 13, 26, 602, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 3746, 27, 4701, 43, 532, 3746, 27, 4701, 43, 17, 3746, 8116, 17, 3746, 4912, 364, 34389, 270, 204, 531, 471, 48, 43, 532, 30747, 2129, 26155, 43, 204, 531, 11920, 17040, 532, 11920, 17040, 204, 531, 3204, 532, 540, 204, 204, 8, 4861, 204, 7043, 68, 20155, 289, 500, 19, 7585, 226, 314, 3331, 204, 23392, 28820, 68, 7043, 289, 2019, 226, 314, 3331, 204, 55, 3007, 23, 1557, 44, 289, 6449, 19, 21, 802, 645, 19, 1460, 204, 1557, 44, 23, 55, 3007, 289, 368, 802, 361, 3007, 23, 1557, 44, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 461, 9831, 68, 17957, 34389, 270, 13, 834, 68, 2290, 31, 818, 17, 4946, 68, 834, 31, 818, 14, 393, 927, 31, 204, 264, 320, 204, 264, 18712, 273, 23687, 34389, 270, 348, 273, 800, 690, 3155, 19, 204, 204, 264, 457, 31, 204, 264, 338, 690, 68, 2290, 322, 996, 330, 334, 690, 1660, 348, 275, 4946, 19, 204, 264, 338, 4946, 68, 834, 322, 996, 330, 334, 1113, 690, 348, 275, 4946, 19, 204, 204, 264, 475, 31, 204, 264, 338, 570, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 570, 19, 204, 264, 338, 3326, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 3326, 1561, 19, 204, 264, 320, 204, 264, 314, 13553, 690, 204, 264, 690, 68, 4593, 289, 421, 1802, 9945, 68, 834, 338, 500, 14, 802, 690, 68, 2290, 14, 465, 368, 204, 264, 690, 289, 645, 19, 11391, 13, 21, 17, 4946, 68, 834, 17, 771, 34, 834, 68, 4593, 14, 204, 204, 264, 314, 13553, 2012, 570, 204, 264, 570, 289, 3746, 27, 4701, 43, 13, 834, 68, 2290, 14, 204, 264, 3326, 289, 11920, 17040, 13, 834, 68, 2290, 14, 204, 204, 264, 314, 13553, 570, 6360, 204, 264, 570, 68, 4415, 68, 655, 289, 551, 204, 268, 379, 87, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 91, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 86, 68, 633, 49, 531, 39, 491, 204, 268, 379, 9220, 491, 204, 268, 379, 70, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 9220, 38126, 491, 204, 268, 379, 86, 68, 633, 39, 531, 49, 491, 204, 268, 379, 87, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 91, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 70, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 30934, 29151, 68, 633, 39, 531, 49, 491, 204, 268, 379, 30934, 29151, 491, 204, 264, 2437, 204, 264, 570, 68, 481, 289, 3746, 8116, 13, 809, 68, 4415, 68, 655, 17, 570, 14, 204, 204, 264, 3326, 68, 4415, 68, 655, 289, 551, 204, 268, 379, 773, 44960, 491, 204, 268, 379, 3825, 44960, 491, 204, 268, 379, 1949, 42, 18989, 491, 204, 268, 379, 1949, 44960, 491, 204, 268, 379, 40902, 491, 204, 268, 379, 5129, 31628, 491, 204, 268, 379, 86, 7183, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 18984, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 40597, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 42, 18989, 491, 204, 268, 379, 86, 18984, 68, 633, 40, 531, 39, 491, 204, 268, 379, 86, 7183, 68, 633, 40, 531, 39, 491, 204, 264, 2437, 204, 264, 3326, 68, 481, 289, 3746, 8116, 13, 7025, 68, 4415, 68, 655, 17, 3326, 14, 204, 204, 264, 314, 7877, 23687, 34389, 270, 204, 264, 348, 690, 68, 2290, 292, 690, 31, 204, 268, 314, 1716, 3326, 204, 268, 3326, 19, 42256, 68, 7414, 289, 645, 19, 643, 1568, 21, 17, 368, 19, 21, 17, 368, 19, 21, 694, 204, 268, 3326, 19, 27547, 68, 7414, 289, 500, 19, 21, 540, 5370, 44, 23, 55, 3007, 204, 268, 9840, 289, 3326, 19, 2045, 13, 809, 17, 690, 68, 2290, 14, 204, 204, 268, 314, 1716, 2012, 1094, 204, 268, 570, 19, 2045, 13, 834, 68, 2290, 17, 690, 68, 2290, 17, 9840, 14, 204, 204, 268, 314, 6993, 424, 204, 268, 570, 68, 481, 19, 1223, 374, 204, 268, 3326, 68, 481, 19, 1223, 374, 204, 204, 264, 407, 570, 68, 481, 17, 3326, 68, 481, 204, 204, 461, 1807, 68, 481, 13, 809, 68, 481, 31, 3746, 8116, 17, 3326, 68, 481, 31, 3746, 8116, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 424, 497, 275, 570, 329, 3326, 1561, 19, 204, 204, 264, 457, 31, 204, 264, 338, 570, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 570, 19, 204, 264, 338, 3326, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 3326, 1561, 19, 204, 264, 320, 204, 264, 314, 666, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 22, 17, 368, 17, 6635, 93, 34, 1021, 14, 204, 204, 264, 314, 3045, 424, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 21, 17, 24083, 379, 80, 491, 1800, 833, 86, 92, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 22, 17, 24083, 379, 87, 491, 1800, 833, 86, 93, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 23, 17, 24083, 379, 76, 491, 1800, 833, 86, 94, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 24, 17, 24083, 379, 71, 491, 1800, 833, 86, 95, 534, 204, 264, 1711, 19, 2700, 374, 204, 264, 1711, 19, 9042, 374, 204, 264, 1711, 19, 574, 68, 18222, 20791, 22, 19, 22, 17, 368, 19, 22, 694, 204, 264, 1711, 19, 574, 68, 7246, 611, 3103, 322, 88, 11953, 204, 264, 1711, 19, 574, 68, 7127, 611, 86, 68, 633, 49, 531, 39, 534, 204, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 570, 68, 481, 17, 3326, 68, 481, 289, 9831, 68, 17957, 34389, 270, 13, 7043, 68, 20155, 17, 39953, 28820, 68, 7043, 14, 204, 264, 1807, 68, 481, 13, 809, 68, 481, 17, 3326, 68, 481, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 1380, 17385, 742, 9533, 17914, 329, 13095, 21098, 204, 204, 3971, 3970, 10750, 16361, 204, 204, 22, 19, 13095, 13216, 353, 1376, 311, 7260, 2323, 10112, 329, 275, 10658, 2323, 3536, 19, 204, 23, 19, 37622, 21608, 618, 444, 1376, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 311, 1688, 2727, 3857, 19, 204, 204, 3971, 15195, 204, 204, 22, 19, 1752, 275, 10658, 2323, 3536, 302, 571, 329, 887, 19, 204, 262, 338, 12375, 31, 887, 204, 204, 23, 19, 1752, 275, 6862, 2323, 2479, 302, 571, 329, 887, 19, 204, 262, 338, 12375, 31, 571, 204, 204, 24, 19, 1752, 275, 14753, 302, 2905, 329, 4839, 19, 204, 262, 338, 12375, 31, 8178, 204, 204, 25, 19, 332, 3868, 302, 886, 874, 437, 14753, 302, 3528, 19, 2935, 2549, 275, 3868, 302, 886, 444, 36, 204, 262, 338, 34577, 6306, 31, 887, 329, 681, 17, 1132, 329, 571, 17, 1598, 329, 435, 17, 6623, 19, 204, 204, 26, 19, 2747, 23792, 5366, 496, 275, 14753, 302, 435, 2727, 886, 353, 1193, 560, 9137, 275, 2727, 886, 4430, 19, 4208, 808, 3597, 521, 7463, 36, 204, 262, 338, 12375, 31, 959, 204, 204, 3971, 14221, 23434, 204, 204, 22, 19, 10155, 292, 275, 20086, 31, 18923, 886, 448, 273, 36398, 302, 1017, 45964, 3857, 7894, 872, 311, 1020, 275, 10658, 2323, 3536, 19, 204, 262, 338, 12375, 31, 1351, 17, 2727, 204, 204, 23, 19, 3400, 3382, 448, 273, 1351, 302, 1163, 2727, 3857, 19, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 204, 204, 24, 19, 3400, 13451, 448, 273, 1351, 302, 1163, 2727, 3857, 19, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 1168, 204, 204, 25, 19, 10643, 4183, 4504, 275, 14753, 302, 3382, 329, 13451, 36, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 1168, 204, 204, 26, 19, 2935, 353, 275, 14753, 302, 3382, 329, 13451, 36, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 1168, 289, 29821, 0, 647, 2010, 448, 645, 204, 204, 461, 1967, 68, 7321, 68, 522, 68, 11190, 13, 935, 31, 645, 19, 766, 17, 1913, 68, 1735, 68, 5099, 31, 927, 17, 5533, 68, 1633, 68, 5099, 31, 927, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 7483, 273, 3618, 302, 3205, 497, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 268, 1913, 68, 1735, 68, 5099, 322, 2644, 330, 334, 1913, 18, 1735, 2992, 322, 94, 17, 610, 14, 302, 275, 3618, 19, 204, 268, 5533, 68, 1633, 68, 5099, 322, 2644, 330, 334, 5533, 18, 1633, 2992, 322, 94, 17, 610, 14, 302, 275, 3618, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4989, 3618, 302, 3205, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1913, 18, 1735, 2992, 529, 3114, 1194, 275, 5533, 18, 1633, 2992, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1913, 18, 1735, 2992, 529, 508, 3114, 1194, 275, 5533, 18, 1633, 2992, 204, 264, 397, 1913, 68, 1735, 68, 5099, 64, 21, 66, 1323, 5533, 68, 1633, 68, 5099, 64, 21, 66, 521, 1913, 68, 1735, 68, 5099, 64, 22, 66, 1323, 5533, 68, 1633, 68, 5099, 64, 22, 744, 204, 268, 980, 987, 499, 11889, 18, 1735, 2992, 2950, 444, 3114, 1194, 5533, 18, 1633, 2992, 431, 204, 204, 264, 314, 1986, 275, 3618, 302, 3205, 974, 12913, 1348, 16880, 204, 264, 3618, 68, 522, 68, 11190, 289, 752, 64, 2723, 68, 1735, 68, 5099, 64, 21, 744, 10568, 68, 1633, 68, 5099, 64, 21, 648, 1913, 68, 1735, 68, 5099, 64, 22, 744, 10568, 68, 1633, 68, 5099, 64, 22, 2629, 204, 204, 264, 407, 3618, 68, 522, 68, 11190, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 752, 204, 264, 752, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 1607, 14, 204, 204, 264, 314, 968, 275, 1913, 18, 1735, 329, 5533, 18, 1633, 2992, 204, 264, 1913, 68, 1735, 68, 5099, 289, 322, 1003, 17, 931, 14, 204, 264, 5533, 68, 1633, 68, 5099, 289, 322, 1719, 17, 2753, 14, 204, 204, 264, 314, 1986, 275, 3618, 302, 3205, 204, 264, 3618, 68, 522, 68, 11190, 289, 1967, 68, 7321, 68, 522, 68, 11190, 13, 935, 17, 1913, 68, 1735, 68, 5099, 17, 5533, 68, 1633, 68, 5099, 14, 204, 204, 264, 314, 1198, 275, 2665, 302, 275, 4989, 3618, 204, 264, 456, 13, 7321, 68, 522, 68, 11190, 19, 1827, 14, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 676, 501, 3738, 20794, 2513, 989, 42650, 31, 204, 264, 436, 589, 924, 889, 327, 17, 14767, 68, 2602, 17, 14430, 817, 70, 68, 29334, 17, 25244, 68, 453, 24876, 17, 14430, 817, 70, 68, 76, 324, 17, 716, 1095, 636, 68, 531, 68, 453, 24876, 31, 394, 17, 636, 68, 531, 68, 76, 324, 31, 394, 17, 794, 986, 68, 266, 68, 2375, 31, 394, 17, 716, 1095, 8351, 68, 4936, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 501, 3738, 22948, 424, 4822, 419, 19, 204, 204, 268, 457, 31, 204, 268, 338, 14767, 68, 2602, 31, 332, 741, 311, 7087, 273, 7450, 1727, 19, 204, 268, 338, 14430, 817, 70, 68, 29334, 322, 1218, 330, 332, 458, 302, 30028, 817, 70, 25244, 5448, 19, 204, 268, 338, 25244, 68, 453, 24876, 322, 1218, 330, 332, 458, 302, 25244, 41914, 63, 5448, 19, 204, 268, 338, 14430, 817, 70, 68, 76, 324, 322, 1218, 330, 332, 458, 302, 30028, 817, 70, 501, 3738, 5448, 19, 204, 268, 338, 636, 68, 531, 68, 453, 24876, 322, 325, 330, 332, 5168, 311, 3686, 424, 497, 41914, 63, 19, 204, 268, 338, 636, 68, 531, 68, 76, 324, 322, 325, 330, 332, 5168, 311, 3686, 424, 497, 501, 3738, 19, 204, 268, 338, 794, 986, 68, 266, 68, 2375, 322, 325, 330, 332, 5168, 311, 2281, 424, 311, 1860, 19, 204, 268, 338, 8351, 68, 4936, 322, 339, 330, 334, 542, 302, 3054, 348, 275, 690, 6189, 19, 204, 268, 320, 204, 268, 370, 19, 8946, 68, 2602, 289, 14767, 68, 2602, 204, 268, 370, 19, 13958, 817, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 70, 68, 29334, 289, 14430, 817, 70, 68, 29334, 204, 268, 370, 19, 29334, 68, 453, 24876, 289, 25244, 68, 453, 24876, 204, 268, 370, 19, 13958, 817, 70, 68, 76, 324, 289, 14430, 817, 70, 68, 76, 324, 204, 268, 370, 19, 505, 68, 531, 68, 453, 24876, 289, 636, 68, 531, 68, 453, 24876, 204, 268, 370, 19, 505, 68, 531, 68, 76, 324, 289, 636, 68, 531, 68, 76, 324, 204, 268, 370, 19, 350, 986, 68, 266, 68, 2375, 289, 794, 986, 68, 266, 68, 2375, 204, 268, 370, 19, 15392, 68, 4936, 289, 8351, 68, 4936, 204, 204, 264, 436, 3686, 68, 76, 324, 68, 31404, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4071, 501, 3738, 22948, 424, 497, 7450, 329, 30028, 817, 70, 1893, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 977, 275, 30028, 817, 70, 1893, 11234, 204, 268, 370, 806, 9462, 68, 13958, 817, 70, 68, 2005, 68, 13953, 374, 204, 204, 268, 314, 4491, 424, 497, 7450, 204, 268, 3599, 289, 370, 19, 8946, 68, 2602, 374, 204, 268, 1484, 289, 370, 806, 3751, 68, 8946, 68, 2120, 374, 204, 268, 11115, 289, 370, 806, 3751, 68, 8946, 68, 18970, 374, 204, 268, 1040, 68, 5711, 289, 500, 204, 268, 1875, 68, 1300, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 7450, 1484, 1563, 204, 268, 348, 1184, 68, 1300, 292, 3599, 19, 2269, 13, 2120, 17, 11115, 330, 204, 305, 1040, 68, 5711, 1412, 368, 204, 305, 810, 31, 204, 485, 314, 4347, 275, 25244, 542, 204, 485, 771, 68, 522, 68, 29334, 289, 370, 19, 29334, 68, 453, 24876, 19, 998, 13, 1271, 68, 1300, 736, 71, 7795, 2533, 4729, 4976, 53, 2701, 63, 2378, 204, 305, 827, 987, 31, 204, 485, 771, 68, 522, 68, 29334, 289, 2958, 204, 204, 305, 314, 4491, 424, 497, 30028, 817, 70, 1893, 204, 305, 1184, 68, 1300, 289, 370, 806, 16988, 68, 481, 68, 531, 68, 13958, 817, 70, 68, 2005, 13, 1271, 68, 1300, 17, 771, 68, 522, 68, 29334, 14, 204, 204, 305, 314, 3400, 424, 311, 510, 397, 1945, 204, 305, 397, 370, 19, 350, 986, 68, 266, 68, 2375, 564, 379, 10897, 597, 204, 485, 370, 19, 2206, 68, 481, 68, 266, 68, 553, 13, 1271, 68, 1300, 17, 771, 68, 522, 68, 29334, 14, 204, 204, 268, 456, 13, 75, 12, 6425, 2164, 31, 463, 765, 68, 5711, 3501, 204, 204, 264, 436, 906, 9462, 68, 13958, 817, 70, 68, 2005, 68, 13953, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 30028, 817, 70, 1893, 11234, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 977, 275, 30028, 817, 70, 1893, 11234, 348, 41914, 63, 329, 501, 3738, 204, 268, 370, 19, 2923, 68, 2005, 68, 453, 24876, 289, 551, 38551, 817, 70, 10254, 13, 327, 19, 13958, 817, 70, 68, 29334, 64, 78, 694, 348, 296, 292, 933, 13, 1796, 13, 327, 19, 29334, 68, 453, 24876, 14, 338, 368, 2395, 204, 268, 370, 19, 2923, 68, 2005, 68, 76, 324, 289, 551, 38551, 817, 70, 10254, 13, 327, 19, 13958, 817, 70, 68, 76, 324, 64, 21, 19094, 204, 204, 264, 436, 906, 3751, 68, 8946, 68, 2120, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 12781, 275, 7450, 1484, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 2457, 275, 7450, 1484, 19, 204, 268, 320, 204, 268, 3303, 834, 289, 1804, 19, 1520, 374, 204, 268, 407, 463, 204, 305, 379, 1835, 597, 379, 8289, 89, 2083, 16231, 491, 204, 305, 379, 13892, 36465, 19, 767, 1449, 6895, 8177, 597, 443, 17, 204, 305, 379, 2391, 8673, 3713, 597, 40366, 10477, 597, 322, 1520, 834, 338, 8351, 13, 4936, 34, 327, 19, 15392, 68, 4936, 39403, 204, 268, 1211, 204, 204, 264, 436, 906, 3751, 68, 8946, 68, 18970, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 12781, 275, 7450, 11115, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 2457, 275, 7450, 11115, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 10151, 359, 597, 368, 17, 204, 305, 379, 7321, 597, 368, 17, 204, 305, 379, 76, 324, 5619, 2862, 4290, 597, 368, 17, 204, 305, 379, 1835, 597, 368, 17, 204, 305, 379, 13892, 36465, 597, 368, 17, 204, 305, 379, 71, 7795, 2533, 4729, 19, 53, 2701, 63, 597, 368, 17, 204, 305, 379, 2391, 8673, 3713, 597, 368, 204, 268, 1211, 204, 204, 264, 436, 906, 16988, 68, 481, 68, 531, 68, 13958, 817, 70, 68, 2005, 13, 327, 17, 1184, 68, 1300, 31, 1061, 17, 771, 68, 522, 68, 29334, 31, 421, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 4071, 424, 497, 275, 30028, 817, 70, 1893, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1184, 68, 1300, 322, 1665, 330, 334, 1184, 722, 497, 7450, 19, 204, 268, 338, 771, 68, 522, 68, 29334, 322, 339, 330, 334, 25244, 542, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2908, 1184, 722, 440, 424, 497, 30028, 817, 70, 1893, 19, 204, 268, 320, 204, 268, 397, 370, 19, 505, 68, 531, 68, 453, 24876, 564, 379, 10897, 597, 204, 305, 636, 68, 6961, 68, 2005, 289, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 1664, 505, 68, 1775, 68, 1849, 13, 204, 485, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 1664, 505, 68, 2036, 68, 2005, 13, 1271, 68, 1300, 28357, 359, 11028, 204, 485, 379, 453, 24876, 68, 76, 324, 12, 204, 305, 1179, 204, 305, 1184, 68, 1300, 736, 53, 2701, 63, 839, 289, 636, 68, 6961, 68, 2005, 204, 268, 397, 370, 19, 505, 68, 531, 68, 76, 324, 564, 379, 10897, 597, 204, 305, 636, 68, 6961, 68, 2005, 68, 76, 324, 289, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1664, 505, 68, 1775, 68, 1849, 13, 204, 485, 370, 19, 2923, 68, 2005, 68, 76, 324, 64, 21, 1664, 505, 68, 2036, 68, 2005, 13, 1271, 68, 1300, 736, 76, 324, 5619, 2862, 4290, 11028, 204, 485, 5607, 204, 305, 1179, 204, 305, 1184, 68, 1300, 736, 44, 3738, 839, 289, 636, 68, 6961, 68, 2005, 68, 76, 324, 204, 268, 407, 1184, 68, 1300, 204, 204, 264, 436, 2281, 68, 481, 68, 266, 68, 553, 13, 327, 17, 1184, 68, 1300, 31, 1061, 17, 771, 68, 522, 68, 29334, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10515, 424, 311, 273, 510, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1184, 68, 1300, 322, 1665, 330, 334, 1184, 722, 311, 2281, 311, 275, 510, 19, 204, 268, 338, 771, 68, 522, 68, 29334, 322, 339, 330, 334, 25244, 542, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2281, 424, 311, 273, 510, 204, 268, 1879, 204, 0, 5399, 529, 275, 970, 3490, 440, 275, 8557, 3576, 5748, 31, 204, 204, 777, 7232, 368, 777, 204, 204, 3661, 1743, 2514, 64, 24, 13110, 23, 1617, 444, 275, 2318, 6871, 1610, 302, 435, 19, 11328, 275, 758, 686, 38, 289, 21700, 70, 465, 308, 65, 2514, 64, 24, 13110, 23, 98, 465, 279, 65, 2514, 64, 24, 13110, 25, 98, 1152, 273, 17, 308, 17, 279, 688, 492, 96, 529, 1892, 2277, 1617, 302, 2318, 886, 19, 716, 204, 28967, 275, 2631, 741, 496, 5178, 970, 10542, 886, 686, 93, 22, 17, 610, 23, 9, 448, 1906, 329, 2584, 1017, 1351, 19, 204, 204, 3691, 72, 204, 932, 461, 3130, 463, 204, 264, 421, 273, 17, 308, 17, 279, 32, 802, 15, 2646, 273, 465, 308, 540, 5900, 64, 24, 13281, 23, 14, 465, 279, 540, 5900, 64, 24, 13281, 25, 14, 540, 20, 204, 98, 10542, 4290, 32, 204, 204, 35865, 4290, 10542, 1560, 73, 13, 35865, 4290, 610, 22, 17, 10542, 4290, 610, 23, 14, 463, 204, 264, 802, 15, 3221, 2558, 540, 20, 204, 264, 421, 273, 289, 610, 22, 19, 70, 540, 610, 23, 19, 70, 465, 435, 540, 610, 22, 19, 71, 540, 610, 23, 19, 72, 465, 435, 540, 610, 22, 19, 72, 540, 610, 23, 19, 71, 32, 204, 264, 421, 308, 289, 610, 22, 19, 70, 540, 610, 23, 19, 71, 465, 610, 22, 19, 71, 540, 610, 23, 19, 70, 465, 435, 540, 610, 22, 19, 72, 540, 610, 23, 19, 72, 32, 204, 264, 421, 279, 289, 610, 22, 19, 70, 540, 610, 23, 19, 72, 465, 610, 22, 19, 71, 540, 610, 23, 19, 71, 465, 610, 22, 19, 72, 540, 610, 23, 19, 70, 32, 204, 264, 10542, 4290, 722, 289, 463, 70, 17, 308, 17, 279, 16258, 204, 264, 407, 722, 32, 204, 98, 204, 3691, 204, 204, 777, 7232, 435, 777, 204, 204, 38, 4554, 869, 686, 83, 9, 12372, 27368, 686, 21, 17, 368, 17, 688, 19315, 17, 300, 18, 22, 2176, 11328, 275, 686, 83, 688, 2760, 300, 9, 1525, 686, 50, 2176, 334, 686, 78, 17, 781, 16909, 427, 2901, 302, 686, 50, 9, 353, 368, 397, 1422, 353, 273, 11304, 1283, 4308, 686, 78, 9, 329, 4308, 686, 79, 9, 32, 490, 353, 500, 2130, 19, 716, 204, 28967, 275, 2631, 741, 311, 2616, 808, 27071, 1844, 19, 204, 204, 3691, 72, 204, 339, 4851, 13, 339, 502, 64, 1799, 5605, 19719, 648, 421, 300, 17, 421, 2787, 17, 421, 376, 14, 463, 204, 264, 421, 540, 14049, 289, 322, 339, 540, 14, 10443, 1229, 13, 83, 540, 1302, 522, 13, 339, 23810, 204, 264, 421, 540, 633, 37910, 289, 322, 339, 540, 14, 10443, 1229, 13, 83, 540, 1302, 522, 13, 339, 23810, 204, 264, 421, 296, 17, 781, 17, 1012, 17, 1136, 32, 204, 264, 348, 322, 78, 289, 500, 32, 296, 962, 300, 32, 39012, 78, 14, 4371, 64, 78, 66, 289, 500, 32, 204, 264, 4371, 64, 90, 66, 289, 368, 32, 204, 264, 311, 37910, 64, 21, 66, 289, 2787, 32, 1012, 289, 500, 32, 1136, 289, 368, 32, 204, 264, 1335, 322, 1530, 962, 1136, 14, 463, 204, 268, 296, 289, 311, 37910, 64, 1530, 12951, 39012, 1530, 32, 204, 268, 397, 322, 78, 564, 376, 14, 463, 204, 305, 4476, 13, 14049, 5224, 204, 305, 4476, 13, 633, 37910, 5224, 204, 305, 407, 368, 32, 204, 268, 1211, 204, 268, 348, 322, 79, 289, 500, 32, 781, 962, 300, 32, 39012, 79, 14, 463, 204, 305, 397, 322, 50, 64, 78, 1799, 79, 66, 564, 368, 19122, 4371, 64, 79, 66, 564, 500, 14, 463, 204, 485, 4371, 64, 79, 66, 289, 368, 32, 204, 485, 311, 37910, 64, 409, 66, 289, 781, 32, 204, 485, 39012, 409, 32, 204, 305, 1211, 204, 268, 1211, 204, 264, 1211, 204, 264, 4476, 13, 14049, 5224, 204, 264, 4476, 13, 633, 37910, 5224, 204, 264, 407, 500, 32, 204, 98, 204, 3691, 0, 647, 1804, 204, 647, 1361, 204, 647, 690, 204, 531, 1498, 532, 1535, 204, 204, 531, 3585, 86, 19, 1618, 19, 21795, 532, 19182, 204, 531, 3585, 86, 19, 1618, 19, 5714, 7676, 532, 28757, 1181, 204, 531, 3585, 86, 19, 13417, 19, 14423, 9482, 532, 3061, 271, 9482, 68, 13417, 204, 531, 3585, 86, 19, 13417, 19, 37676, 4115, 532, 27957, 4115, 68, 13417, 204, 204, 8, 666, 273, 2082, 1014, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 1976, 68, 834, 31, 1804, 19, 2664, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4347, 397, 3061, 271, 9482, 16545, 1856, 444, 8942, 1609, 523, 275, 790, 690, 19, 204, 204, 264, 334, 16545, 353, 8942, 397, 275, 790, 690, 353, 2614, 720, 4112, 302, 275, 2344, 1012, 19, 204, 204, 264, 457, 31, 204, 268, 790, 68, 834, 322, 2664, 19, 2664, 330, 334, 790, 690, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 3061, 271, 9482, 16545, 1856, 444, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8942, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 2344, 68, 1530, 289, 790, 68, 834, 19, 3834, 13, 7459, 34, 21, 17, 8054, 34, 21, 17, 1350, 34, 21, 17, 7203, 4397, 34, 21, 14, 204, 264, 407, 322, 1976, 68, 834, 338, 2344, 68, 1530, 789, 2609, 68, 6821, 374, 802, 3382, 962, 720, 204, 204, 461, 636, 68, 43573, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 1040, 302, 4337, 7676, 292, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1040, 302, 4337, 7676, 19, 204, 264, 320, 204, 264, 314, 6652, 28757, 1181, 19, 2120, 19, 765, 374, 353, 273, 1097, 1216, 311, 636, 275, 1040, 302, 4337, 7676, 204, 264, 407, 28757, 1181, 19, 2120, 19, 765, 374, 204, 204, 461, 636, 68, 9123, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 1040, 302, 15126, 292, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1040, 302, 15126, 19, 204, 264, 320, 204, 264, 314, 6652, 19182, 19, 2120, 19, 765, 374, 353, 273, 1097, 1216, 311, 636, 275, 1040, 302, 15126, 204, 264, 407, 19182, 19, 2120, 19, 765, 374, 204, 204, 461, 16545, 68, 14423, 9482, 68, 403, 68, 8262, 13, 6921, 68, 272, 3751, 68, 340, 8887, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 31905, 3061, 271, 9482, 397, 3600, 1609, 523, 275, 2955, 68, 272, 3751, 68, 340, 8887, 5168, 329, 275, 790, 690, 19, 204, 204, 264, 457, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 2955, 37957, 27952, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 790, 68, 834, 289, 1804, 19, 2664, 19, 1520, 374, 204, 264, 397, 2955, 68, 272, 3751, 68, 340, 8887, 521, 322, 6921, 68, 272, 3751, 68, 340, 8887, 353, 443, 329, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 1976, 68, 834, 4019, 204, 268, 3061, 271, 9482, 68, 13417, 374, 204, 204, 461, 16545, 68, 37676, 4115, 68, 403, 68, 8262, 13, 6593, 68, 403, 68, 4868, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 31905, 27957, 4115, 397, 3600, 1609, 523, 275, 1698, 68, 403, 68, 4868, 5168, 329, 275, 5722, 1040, 19, 204, 204, 264, 457, 31, 204, 268, 1698, 68, 403, 68, 4868, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 1698, 16545, 397, 1392, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 397, 508, 1698, 68, 403, 68, 4868, 521, 636, 68, 9123, 68, 765, 374, 564, 500, 31, 204, 268, 27957, 4115, 68, 13417, 374, 204, 204, 461, 2811, 68, 1618, 68, 13417, 13, 204, 264, 2955, 68, 272, 3751, 68, 340, 8887, 31, 1535, 64, 2107, 66, 289, 443, 17, 204, 264, 1698, 68, 403, 68, 4868, 31, 1535, 64, 2107, 66, 289, 443, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3055, 1094, 16545, 1609, 523, 275, 1917, 8725, 19, 204, 204, 264, 457, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 2955, 37957, 27952, 19, 1243, 311, 443, 19, 204, 268, 1698, 68, 403, 68, 4868, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 1698, 16545, 397, 1392, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 1012, 68, 834, 289, 690, 19, 21310, 68, 5951, 374, 204, 615, 264, 314, 763, 275, 1040, 302, 4337, 7676, 204, 264, 36459, 68, 765, 289, 636, 68, 43573, 68, 765, 374, 204, 615, 264, 314, 4347, 397, 572, 1856, 2955, 37957, 27952, 204, 264, 397, 1698, 68, 403, 68, 4868, 521, 36459, 68, 765, 564, 500, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 289, 36459, 68, 765, 564, 500, 204, 264, 1677, 2955, 68, 272, 3751, 68, 340, 8887, 353, 443, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 289, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 2664, 19, 2664, 19, 1520, 1447, 204, 204, 264, 810, 31, 204, 268, 314, 3055, 3061, 271, 9482, 16545, 397, 3600, 204, 268, 16545, 68, 14423, 9482, 68, 403, 68, 8262, 13, 6921, 68, 272, 3751, 68, 340, 8887, 14, 204, 822, 268, 314, 3055, 27957, 4115, 16545, 397, 3600, 204, 268, 16545, 68, 37676, 4115, 68, 403, 68, 8262, 13, 6593, 68, 403, 68, 4868, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 1882, 275, 16545, 1352, 204, 268, 2082, 19, 718, 499, 596, 1882, 1094, 16545, 31, 1564, 88, 528, 318, 14, 204, 615, 264, 314, 888, 275, 5401, 302, 275, 16545, 1352, 204, 264, 5401, 289, 690, 19, 21310, 68, 5951, 374, 338, 1012, 68, 834, 204, 615, 264, 314, 4347, 275, 711, 1870, 1609, 523, 275, 5401, 204, 264, 711, 68, 2201, 289, 1361, 19, 8252, 397, 5401, 1323, 3382, 540, 720, 902, 1361, 19, 5142, 204, 615, 264, 314, 2175, 275, 13967, 302, 275, 16545, 1352, 204, 264, 2082, 19, 761, 13, 761, 68, 2201, 17, 388, 32397, 1094, 68, 13417, 292, 1564, 88, 3331, 528, 5401, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2811, 68, 1618, 68, 13417, 374, 204, 0, 1456, 2405, 15944, 13261, 28257, 18906, 2815, 3411, 1689, 3796, 408, 1254, 11572, 19043, 460, 4485, 1189, 32892, 568, 2857, 37902, 1456, 2405, 1191, 408, 30602, 15780, 460, 14330, 1189, 38458, 1926, 46632, 14959, 14157, 2729, 4045, 408, 2174, 24541, 2857, 3036, 3865, 3079, 17713, 2704, 408, 36589, 3451, 239, 1638, 7764, 8128, 45348, 3058, 5851, 2860, 1432, 3656, 7799, 2014, 10265, 28281, 3903, 9826, 725, 34682, 408, 17955, 43635, 14510, 22399, 568, 204, 1191, 4763, 2815, 21701, 226, 1984, 226, 40113, 4660, 8612, 47357, 10875, 2145, 118, 408, 2822, 33372, 3733, 19578, 10073, 568, 204, 4276, 9396, 2860, 9595, 12625, 408, 19233, 38692, 1432, 3359, 5463, 4298, 2844, 408, 6522, 7527, 239, 831, 25213, 568, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2541, 3890, 15985, 13, 8927, 330, 204, 264, 1642, 9017, 204, 264, 436, 16483, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2541, 3890, 273, 13267, 397, 275, 30578, 48191, 869, 18498, 19, 204, 268, 320, 204, 268, 1879, 204, 204, 676, 6503, 4872, 3890, 299, 13, 4872, 3890, 15985, 330, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 2519, 30578, 6060, 19, 204, 204, 264, 1532, 31, 204, 268, 387, 7966, 3376, 3096, 68, 2328, 4755, 11655, 322, 339, 330, 334, 48191, 3155, 1283, 24969, 19, 204, 264, 320, 204, 264, 387, 7966, 3376, 3096, 68, 2328, 4755, 11655, 289, 2153, 226, 314, 968, 275, 30578, 48191, 448, 273, 3324, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4368, 31, 14568, 330, 204, 268, 320, 204, 268, 977, 275, 6503, 4872, 3890, 299, 850, 19, 204, 204, 268, 457, 31, 204, 305, 4368, 322, 11600, 330, 334, 4368, 496, 1120, 444, 30578, 19, 204, 268, 320, 204, 268, 370, 19, 7208, 289, 4368, 204, 268, 370, 19, 36090, 299, 68, 395, 32351, 289, 500, 226, 314, 977, 275, 30578, 48191, 204, 204, 264, 436, 16483, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2541, 3890, 273, 13267, 397, 275, 30578, 48191, 869, 18498, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 397, 275, 30578, 48191, 869, 18498, 204, 268, 397, 370, 19, 36090, 299, 68, 395, 32351, 564, 500, 31, 204, 305, 314, 666, 273, 717, 13267, 329, 881, 490, 311, 275, 2304, 204, 305, 370, 806, 1510, 68, 21187, 374, 204, 305, 314, 8715, 275, 30578, 48191, 204, 305, 370, 19, 36090, 299, 68, 395, 32351, 289, 370, 19, 4175, 52, 3376, 3096, 68, 2328, 4755, 11655, 204, 268, 902, 31, 204, 305, 314, 25151, 275, 30578, 48191, 204, 305, 370, 19, 36090, 299, 68, 395, 32351, 4922, 368, 204, 204, 264, 436, 906, 1510, 68, 21187, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 13267, 329, 881, 490, 311, 275, 2304, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 13267, 204, 305, 13267, 289, 32283, 13, 327, 19, 7208, 19, 1608, 17, 370, 19, 7208, 19, 1932, 68, 93, 17, 370, 19, 7208, 19, 1932, 68, 94, 17, 370, 19, 7208, 19, 5863, 14, 204, 305, 314, 1255, 275, 13267, 311, 275, 2304, 204, 305, 370, 19, 7208, 19, 1608, 19, 826, 68, 7208, 13, 21187, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 13267, 5247, 521, 4998, 311, 275, 2304, 204, 305, 456, 13, 75, 7, 596, 4141, 521, 5209, 13267, 31, 463, 74, 743, 204, 204, 676, 9015, 31, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 9015, 850, 19, 204, 268, 320, 204, 268, 370, 19, 33299, 289, 1306, 204, 204, 264, 436, 881, 68, 7208, 13, 327, 17, 4368, 31, 14568, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1255, 273, 4368, 311, 275, 2304, 19, 204, 204, 268, 457, 31, 204, 305, 4368, 322, 11600, 330, 334, 4368, 311, 444, 4327, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 370, 19, 33299, 19, 1223, 13, 7208, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 2304, 204, 264, 2304, 289, 9015, 374, 204, 264, 314, 666, 273, 717, 4368, 204, 264, 4368, 289, 14568, 13, 1608, 17, 500, 17, 500, 17, 388, 1633, 431, 204, 264, 314, 666, 273, 717, 30578, 6060, 204, 264, 30578, 68, 4007, 289, 6503, 4872, 3890, 299, 13, 7208, 14, 204, 264, 314, 2541, 3890, 273, 13267, 204, 264, 30578, 68, 4007, 19, 36090, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 647, 1361, 204, 531, 13830, 532, 21796, 204, 531, 1498, 532, 5006, 17, 2334, 17, 1061, 17, 783, 17, 1884, 204, 204, 647, 8674, 72, 1825, 19, 41089, 204, 647, 8674, 72, 1825, 19, 1723, 204, 647, 8674, 72, 1825, 19, 14270, 204, 647, 23821, 26139, 204, 647, 23821, 26139, 19, 28324, 204, 204, 676, 31779, 8759, 13, 76, 41089, 1825, 19, 1723, 19, 9481, 40, 3368, 330, 204, 264, 320, 204, 264, 31779, 1363, 850, 19, 204, 204, 264, 1058, 850, 4504, 437, 31779, 1363, 496, 618, 2906, 5453, 329, 3780, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 1363, 19, 204, 204, 268, 27800, 311, 275, 31779, 1981, 329, 3416, 719, 1643, 11882, 19, 204, 268, 320, 204, 268, 2234, 13, 9481, 40, 8759, 17, 370, 7906, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 6792, 31, 783, 64, 2983, 64, 325, 17, 5006, 17, 1061, 64, 325, 17, 2334, 648, 421, 17, 394, 2629, 289, 1306, 204, 268, 370, 19, 6316, 31, 783, 64, 2983, 64, 325, 17, 5006, 2629, 289, 1306, 204, 268, 370, 806, 2933, 68, 2977, 68, 12605, 374, 204, 204, 264, 436, 906, 2933, 68, 2977, 68, 12605, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 6370, 1643, 11882, 311, 275, 31779, 1545, 19, 204, 204, 268, 1058, 1216, 21443, 1643, 11882, 311, 275, 31779, 1545, 677, 8432, 19, 204, 268, 320, 204, 268, 314, 763, 830, 1643, 8432, 497, 8674, 72, 1825, 19, 14270, 204, 268, 1643, 68, 14270, 289, 551, 75, 348, 283, 292, 7892, 13, 76, 41089, 1825, 19, 14270, 14, 397, 283, 19, 7209, 611, 271, 68, 10116, 204, 268, 348, 1643, 292, 1643, 68, 14270, 31, 204, 305, 314, 763, 275, 1643, 4713, 497, 8674, 72, 1825, 19, 14270, 204, 305, 1643, 68, 4075, 289, 10175, 13, 76, 41089, 1825, 19, 14270, 17, 1643, 14, 204, 305, 314, 666, 273, 4713, 348, 275, 1643, 204, 305, 4713, 289, 370, 806, 4103, 68, 2977, 13, 2977, 14, 204, 305, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 314, 6370, 275, 4713, 311, 275, 1643, 3683, 204, 305, 1643, 68, 4075, 19, 2933, 13, 4075, 17, 9701, 34, 1975, 14, 204, 204, 264, 436, 1354, 13, 327, 17, 588, 31, 394, 17, 3737, 31, 1061, 64, 325, 17, 2334, 66, 289, 443, 17, 4849, 31, 421, 289, 500, 17, 4016, 31, 394, 289, 388, 5397, 393, 5006, 31, 204, 268, 320, 204, 268, 27107, 311, 4080, 273, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1354, 19, 204, 305, 3737, 322, 1665, 64, 325, 17, 2334, 648, 1448, 330, 334, 2072, 302, 275, 1354, 19, 1243, 311, 443, 19, 204, 305, 4849, 322, 339, 17, 1448, 330, 334, 4849, 1945, 311, 732, 275, 1354, 19, 1243, 311, 500, 19, 204, 305, 4016, 322, 325, 17, 1448, 330, 334, 4016, 302, 275, 1354, 19, 1243, 311, 45600, 2948, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 13170, 741, 19, 204, 268, 320, 204, 268, 436, 10812, 68, 18693, 13, 4266, 31, 5006, 14, 393, 5006, 31, 204, 305, 1642, 21162, 13, 4266, 14, 204, 305, 436, 7086, 68, 18693, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 2334, 31, 204, 485, 314, 2735, 275, 1906, 204, 485, 397, 508, 2042, 31, 204, 895, 2042, 289, 322, 3170, 16391, 204, 485, 3634, 68, 1038, 289, 23821, 26139, 19, 28324, 806, 1703, 68, 1038, 13, 2645, 17, 540, 1038, 14, 204, 485, 314, 4889, 275, 741, 440, 275, 3634, 1906, 204, 485, 407, 6398, 7680, 9891, 68, 1038, 14, 204, 305, 314, 6676, 275, 1354, 204, 305, 370, 19, 6792, 19, 1223, 1802, 417, 17, 7086, 68, 18693, 17, 3737, 17, 4849, 17, 4016, 602, 204, 305, 407, 7086, 68, 18693, 204, 268, 407, 10812, 68, 18693, 204, 204, 264, 436, 1643, 13, 327, 17, 1643, 31, 394, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 27107, 311, 4080, 437, 1643, 4713, 19, 204, 204, 268, 457, 31, 204, 305, 1643, 322, 325, 330, 334, 588, 302, 275, 1643, 19, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 13170, 741, 19, 204, 268, 320, 204, 268, 436, 10812, 68, 18693, 13, 4266, 31, 5006, 14, 393, 5006, 31, 204, 305, 314, 6676, 275, 1643, 4713, 204, 305, 370, 19, 6316, 19, 1223, 1802, 75, 12, 271, 1859, 2977, 7798, 6398, 602, 204, 305, 407, 6398, 204, 268, 407, 10812, 68, 18693, 204, 204, 264, 436, 906, 4103, 68, 2977, 13, 327, 17, 1643, 31, 394, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 1426, 437, 1643, 560, 14101, 9882, 1643, 11882, 19, 204, 204, 268, 457, 31, 204, 305, 1643, 322, 325, 330, 334, 588, 302, 275, 1643, 19, 204, 204, 268, 475, 31, 204, 305, 5006, 31, 334, 1643, 4713, 19, 204, 268, 320, 204, 268, 436, 11820, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 305, 810, 31, 204, 485, 314, 763, 275, 1643, 11882, 348, 275, 1643, 204, 485, 11882, 289, 551, 4075, 348, 4713, 68, 417, 17, 4713, 292, 370, 19, 6316, 397, 4713, 68, 417, 564, 1643, 66, 204, 485, 314, 4889, 848, 1643, 4713, 204, 485, 348, 4713, 292, 11882, 31, 204, 895, 4713, 4934, 1038, 17, 930, 2251, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 2175, 1169, 2744, 496, 1336, 204, 485, 1361, 19, 718, 13, 75, 7, 596, 6886, 1643, 463, 2977, 2829, 463, 74, 743, 204, 268, 407, 11820, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 31779, 1363, 204, 264, 1363, 289, 31779, 8759, 374, 204, 204, 264, 314, 6676, 273, 1354, 204, 264, 1642, 2511, 19, 2196, 499, 9226, 528, 3737, 10703, 417, 559, 394, 1937, 204, 264, 436, 15399, 13, 417, 31, 394, 14, 393, 443, 31, 204, 268, 456, 13, 75, 7, 5975, 17, 463, 417, 23214, 204, 204, 264, 314, 6676, 437, 1643, 4713, 204, 264, 1642, 2511, 19, 2977, 499, 1541, 431, 204, 264, 436, 523, 68, 1541, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 443, 31, 204, 268, 456, 499, 8390, 389, 12174, 275, 3906, 5397, 204, 204, 264, 314, 4055, 275, 1363, 204, 264, 1363, 19, 1530, 374, 204, 0, 658, 1687, 368, 31, 8554, 275, 800, 741, 329, 275, 1781, 204, 673, 800, 741, 353, 1743, 2514, 96, 22, 7610, 6685, 265, 7078, 329, 572, 1519, 311, 1020, 1163, 5442, 440, 4130, 311, 686, 89, 2176, 204, 204, 658, 1687, 435, 31, 3291, 275, 5649, 4090, 311, 1020, 275, 5442, 204, 1449, 1020, 275, 5442, 302, 1743, 2514, 96, 22, 7610, 6685, 265, 7078, 572, 6356, 3120, 275, 5649, 4090, 19, 334, 5442, 302, 275, 10812, 741, 7269, 22, 7610, 6685, 265, 2246, 65, 1209, 96, 22, 1134, 23, 1617, 353, 1743, 1209, 96, 22, 1134, 23, 7293, 22, 7610, 6685, 265, 14, 25474, 1209, 96, 22, 1134, 23, 35651, 329, 275, 5442, 302, 275, 7086, 741, 686, 22, 7610, 6685, 265, 9, 353, 1743, 1209, 96, 22, 1134, 89, 4742, 204, 204, 658, 1687, 571, 31, 888, 275, 5442, 974, 275, 5649, 4090, 204, 4931, 275, 5649, 4090, 17, 275, 5442, 302, 1743, 2514, 96, 22, 7610, 6685, 265, 1617, 353, 1743, 1209, 96, 22, 1134, 23, 7293, 22, 7610, 6685, 265, 14, 25474, 1209, 96, 22, 1134, 23, 3734, 688, 4423, 688, 1209, 96, 22, 1134, 89, 4742, 204, 204, 658, 1687, 681, 31, 8730, 275, 5442, 204, 10714, 275, 2231, 17, 572, 636, 1743, 1209, 96, 22, 1134, 23, 65, 2514, 96, 22, 7610, 6685, 265, 3734, 688, 4423, 688, 1209, 96, 22, 1134, 89, 98, 289, 688, 1209, 96, 22, 1134, 23, 89, 65, 2514, 96, 22, 7610, 6685, 265, 20644, 204, 204, 673, 2423, 2073, 353, 31, 1743, 1209, 96, 22, 1134, 23, 89, 65, 2514, 96, 22, 7610, 6685, 265, 10512, 0, 461, 5495, 68, 816, 68, 1630, 13, 920, 68, 4599, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 37139, 273, 1713, 542, 302, 1892, 497, 275, 575, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 329, 2584, 1475, 448, 273, 458, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4599, 322, 339, 330, 334, 542, 302, 1892, 311, 5495, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1892, 10831, 497, 275, 575, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 575, 537, 886, 204, 264, 575, 68, 1630, 31, 458, 64, 339, 66, 289, 1306, 204, 615, 264, 314, 11333, 21035, 886, 3119, 275, 6736, 1040, 353, 7486, 204, 264, 1335, 1245, 13, 816, 68, 1630, 14, 962, 771, 68, 4599, 31, 204, 268, 314, 1974, 273, 3546, 311, 2906, 2872, 3806, 204, 268, 1335, 959, 31, 204, 305, 314, 763, 575, 537, 329, 4809, 311, 1814, 490, 311, 437, 1534, 204, 305, 575, 68, 768, 31, 394, 289, 537, 13, 75, 7, 2101, 542, 463, 1796, 13, 816, 68, 1630, 14, 465, 368, 2829, 2810, 204, 305, 810, 31, 204, 485, 314, 3289, 311, 1814, 275, 537, 311, 437, 1534, 204, 485, 542, 31, 421, 289, 421, 13, 816, 68, 768, 14, 204, 485, 314, 828, 2707, 17, 881, 275, 542, 311, 275, 458, 329, 2280, 275, 3546, 204, 485, 575, 68, 1630, 19, 1223, 13, 1190, 14, 204, 485, 456, 499, 4290, 4327, 5397, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 314, 828, 275, 537, 2950, 444, 6004, 311, 437, 1534, 17, 456, 437, 908, 943, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 615, 264, 407, 575, 68, 1630, 204, 204, 204, 461, 1020, 68, 15496, 68, 1190, 13, 1630, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 5527, 542, 292, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 5527, 542, 292, 275, 458, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 1006, 741, 311, 1020, 275, 5527, 542, 204, 264, 407, 1006, 13, 1630, 14, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 275, 542, 302, 3806, 311, 5495, 497, 275, 575, 204, 264, 771, 68, 4599, 31, 421, 289, 720, 204, 615, 264, 314, 14718, 575, 886, 204, 264, 575, 68, 1630, 31, 458, 64, 339, 66, 289, 5495, 68, 816, 68, 1630, 13, 920, 68, 4599, 14, 204, 615, 264, 314, 1752, 275, 5527, 542, 204, 264, 5527, 68, 1190, 31, 421, 289, 1020, 68, 15496, 68, 1190, 13, 816, 68, 1630, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 673, 5527, 542, 353, 31, 463, 15496, 68, 1190, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 636, 68, 6845, 68, 1663, 68, 531, 68, 816, 13, 835, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 273, 2415, 1525, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 264, 1302, 322, 339, 330, 334, 1302, 302, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 311, 1640, 575, 537, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 68, 998, 292, 933, 13, 835, 330, 204, 268, 314, 763, 575, 537, 348, 848, 1103, 292, 275, 1237, 204, 268, 1237, 289, 1306, 204, 268, 348, 1837, 68, 998, 292, 933, 13, 835, 330, 204, 305, 314, 13485, 575, 311, 2064, 275, 1103, 630, 275, 790, 1502, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1103, 289, 421, 13, 768, 13, 75, 7, 2101, 1103, 8267, 937, 68, 998, 16, 22, 17620, 3071, 68, 998, 16, 22, 23474, 4091, 204, 895, 1237, 19, 1223, 13, 1849, 14, 204, 895, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 822, 268, 314, 1255, 275, 1237, 311, 275, 1525, 204, 268, 1525, 19, 1223, 13, 937, 14, 204, 615, 264, 407, 1525, 204, 204, 461, 6246, 68, 11230, 68, 1630, 68, 266, 68, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 18447, 275, 4069, 886, 292, 273, 435, 41, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 334, 5846, 1525, 440, 4069, 886, 21552, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 2171, 1525, 311, 4516, 11227, 490, 292, 18, 1721, 204, 264, 5846, 68, 1663, 289, 551, 937, 16280, 348, 1237, 292, 1525, 66, 204, 615, 264, 314, 1861, 1048, 848, 1103, 292, 275, 1525, 204, 264, 348, 1237, 68, 998, 17, 1237, 292, 3209, 13, 12171, 68, 1663, 330, 204, 268, 348, 1837, 68, 998, 17, 1103, 292, 3209, 13, 937, 330, 204, 305, 314, 778, 397, 275, 1103, 353, 437, 4069, 542, 204, 305, 397, 1103, 1564, 435, 2167, 500, 31, 204, 485, 314, 18447, 275, 4069, 542, 204, 485, 5846, 68, 1663, 64, 937, 68, 998, 1799, 3071, 68, 998, 66, 10744, 435, 204, 615, 264, 407, 5846, 68, 1663, 204, 204, 461, 456, 68, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 273, 435, 41, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 1525, 204, 264, 348, 1237, 292, 1525, 31, 204, 268, 456, 13, 937, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 1302, 302, 275, 1525, 204, 264, 1525, 68, 835, 289, 435, 204, 615, 264, 314, 763, 275, 1525, 497, 275, 575, 204, 264, 575, 68, 1663, 289, 636, 68, 6845, 68, 1663, 68, 531, 68, 816, 13, 1663, 68, 835, 14, 204, 615, 264, 314, 18447, 275, 4069, 886, 292, 275, 1525, 204, 264, 5846, 68, 1663, 289, 6246, 68, 11230, 68, 1630, 68, 266, 68, 1663, 13, 816, 68, 1663, 14, 204, 615, 264, 314, 1198, 275, 5846, 1525, 204, 264, 456, 499, 25448, 9260, 2212, 204, 264, 456, 68, 1663, 13, 12171, 68, 1663, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 20488, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 2522, 292, 273, 2304, 19, 204, 204, 264, 1532, 31, 204, 268, 26272, 322, 2107, 330, 2266, 311, 2248, 273, 29829, 440, 3986, 1330, 275, 2522, 353, 18728, 19, 204, 268, 3564, 322, 325, 330, 2303, 365, 18, 7996, 458, 302, 3564, 311, 2037, 1330, 275, 2522, 353, 18728, 19, 204, 268, 732, 68, 39449, 322, 2107, 330, 2266, 311, 732, 275, 13066, 302, 275, 2522, 19, 204, 264, 320, 204, 204, 264, 26272, 289, 1094, 19, 10030, 13, 204, 268, 1540, 34, 1975, 17, 716, 268, 1340, 68, 492, 833, 14625, 29829, 440, 3986, 1330, 2522, 353, 18728, 491, 716, 268, 2874, 68, 417, 833, 23147, 12, 204, 264, 1179, 204, 264, 3564, 289, 1094, 19, 2580, 13, 204, 268, 4247, 34, 1021, 17, 716, 268, 1340, 68, 492, 833, 3715, 365, 5289, 458, 302, 3564, 311, 2037, 1330, 2522, 353, 18728, 491, 716, 268, 846, 68, 1205, 34, 2825, 17, 716, 268, 3749, 34, 1021, 17, 716, 268, 2874, 68, 417, 833, 6664, 12, 204, 264, 1179, 204, 264, 732, 68, 39449, 289, 1094, 19, 10030, 13, 2305, 34, 1021, 17, 2874, 68, 417, 833, 11345, 13066, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 7, 9384, 463, 327, 19, 359, 2495, 204, 0, 3728, 45673, 1873, 275, 3714, 302, 12387, 292, 273, 6783, 36, 204, 204, 673, 15639, 5018, 275, 2796, 302, 275, 16266, 3332, 275, 8795, 329, 45673, 1873, 275, 3714, 302, 16266, 19, 716, 204, 673, 1277, 302, 273, 6285, 302, 8795, 1425, 13605, 275, 6132, 790, 12056, 1924, 490, 19, 334, 6397, 275, 1277, 302, 275, 8795, 17, 275, 3114, 275, 6795, 17, 8337, 12711, 275, 790, 21418, 1924, 275, 8795, 19, 716, 204, 837, 4998, 17, 275, 13276, 302, 275, 8795, 13605, 275, 3714, 302, 12387, 19, 332, 377, 9424, 8795, 869, 14645, 16266, 311, 7918, 275, 790, 17, 6465, 292, 3114, 6795, 17, 1335, 273, 9205, 270, 8795, 11138, 1182, 1864, 348, 16266, 311, 2284, 1924, 275, 6783, 17, 6465, 292, 2202, 6795, 19, 204, 204, 673, 2969, 302, 12387, 292, 273, 8795, 353, 5387, 4950, 10, 302, 275, 2969, 302, 3702, 17, 928, 353, 3332, 18534, 17, 1207, 5437, 20, 88, 19, 3355, 17, 275, 2641, 2969, 302, 275, 16266, 7105, 17, 1425, 3556, 448, 275, 23051, 3581, 17, 353, 3171, 25379, 19, 204, 204, 673, 3857, 496, 4767, 275, 2969, 302, 12387, 292, 273, 8795, 2255, 31, 204, 204, 22, 19, 10217, 302, 275, 8795, 31, 480, 271, 727, 22695, 874, 1182, 6795, 17, 928, 45673, 1873, 275, 3714, 302, 12387, 19, 204, 23, 19, 2767, 19087, 302, 275, 8795, 31, 2767, 21853, 22695, 874, 2202, 6795, 17, 11439, 12387, 311, 3714, 12096, 19, 204, 24, 19, 25493, 302, 275, 8795, 31, 16568, 22613, 874, 1792, 8386, 31575, 17, 440, 18381, 2545, 275, 2765, 23940, 17, 8367, 560, 17423, 17, 7905, 17, 26631, 17, 329, 28792, 19, 204, 204, 837, 5549, 17, 275, 3714, 302, 12387, 292, 273, 8795, 353, 9647, 560, 275, 1277, 17, 13276, 17, 329, 3821, 302, 275, 8795, 17, 448, 2590, 448, 275, 9920, 302, 24154, 19, 12775, 1605, 3857, 353, 11897, 292, 25583, 329, 2976, 4616, 12632, 18147, 19, 0, 531, 1907, 19, 11761, 532, 2111, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 273, 955, 311, 2304, 1351, 3003, 311, 1017, 11882, 204, 30991, 68, 32968, 49, 9567, 31, 1061, 64, 325, 17, 7063, 66, 289, 463, 204, 264, 379, 71, 1476, 597, 2906, 68, 71, 1476, 17, 204, 264, 379, 495, 79, 7014, 597, 2906, 68, 495, 79, 7014, 17, 204, 264, 379, 1715, 12677, 68, 29756, 597, 2906, 68, 1715, 12677, 68, 29756, 17, 204, 264, 379, 88, 12432, 32121, 597, 2906, 68, 88, 12432, 32121, 17, 204, 98, 204, 204, 461, 2941, 68, 2225, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12093, 275, 2941, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 2941, 1472, 19, 204, 264, 320, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 998, 19, 2079, 534, 204, 204, 461, 1351, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 1351, 1472, 521, 437, 908, 1472, 397, 275, 1351, 1187, 353, 7843, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1351, 1187, 353, 292, 275, 824, 204, 264, 348, 1351, 68, 932, 17, 4713, 292, 14239, 24881, 68, 32968, 49, 9567, 19, 1996, 1293, 204, 268, 397, 1351, 68, 932, 292, 824, 19, 4252, 31, 204, 305, 314, 4889, 275, 4713, 741, 348, 275, 1351, 1187, 204, 305, 407, 4713, 13, 1443, 14, 204, 204, 264, 314, 1426, 7843, 1351, 3003, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 718, 19, 2079, 534, 204, 204, 461, 2906, 68, 71, 1476, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 565, 1476, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 565, 1476, 1351, 1472, 19, 204, 264, 320, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 565, 1476, 1351, 1472, 204, 264, 1724, 289, 388, 39, 1476, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 495, 79, 7014, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 852, 79, 7014, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 852, 79, 7014, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 852, 79, 7014, 1351, 1472, 204, 264, 1724, 289, 388, 1046, 79, 7014, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 17, 379, 1778, 23, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 1715, 12677, 68, 29756, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 9469, 12677, 415, 10687, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 9469, 12677, 415, 10687, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 9469, 12677, 415, 10687, 1351, 1472, 204, 264, 1724, 289, 388, 10215, 12677, 415, 10687, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 461, 2906, 68, 88, 12432, 32121, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5133, 387, 12432, 32121, 1351, 2164, 19, 204, 204, 264, 457, 31, 204, 268, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 5703, 387, 12432, 32121, 1351, 1472, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1724, 329, 2085, 348, 275, 387, 12432, 32121, 1351, 1472, 204, 264, 1724, 289, 388, 56, 12432, 32121, 7, 204, 264, 2085, 289, 2552, 1778, 597, 1724, 98, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 20, 2572, 19, 2079, 491, 2085, 14, 204, 204, 676, 41449, 916, 55, 1518, 31, 204, 264, 320, 204, 264, 5307, 275, 5926, 302, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 2696, 322, 1218, 64, 4307, 1037, 332, 458, 302, 2696, 311, 1395, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2696, 31, 783, 736, 4307, 2378, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 41449, 916, 55, 1518, 440, 273, 458, 302, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 2696, 31, 332, 458, 302, 2696, 311, 1395, 19, 204, 268, 320, 204, 268, 370, 19, 1996, 289, 2696, 204, 204, 264, 436, 1395, 68, 11382, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 848, 1184, 19, 204, 268, 320, 204, 268, 314, 1861, 1048, 848, 1184, 329, 1395, 1163, 5926, 204, 268, 348, 1184, 292, 370, 19, 1996, 31, 204, 305, 314, 778, 275, 1184, 1187, 329, 1395, 1163, 5926, 15844, 204, 305, 397, 1184, 19, 417, 564, 388, 38, 2669, 565, 1476, 559, 204, 485, 370, 806, 2045, 68, 71, 1476, 13, 1271, 14, 204, 305, 1677, 1184, 19, 417, 564, 388, 10215, 12677, 11669, 311, 273, 313, 10059, 48, 1889, 2934, 47651, 27041, 559, 204, 485, 370, 806, 2045, 68, 1715, 12677, 68, 29756, 13, 1271, 14, 204, 305, 1677, 1184, 19, 417, 564, 388, 1046, 79, 7014, 559, 204, 485, 370, 806, 2045, 68, 495, 79, 7014, 13, 1271, 14, 204, 305, 314, 1255, 273, 1540, 1322, 311, 2906, 7843, 1184, 3003, 204, 305, 902, 31, 204, 485, 456, 13, 75, 7, 11725, 1184, 1187, 31, 463, 1271, 19, 417, 743, 204, 204, 264, 436, 906, 2045, 68, 71, 1476, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 332, 2669, 565, 1476, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 22295, 275, 5926, 302, 332, 2669, 565, 1476, 2696, 204, 268, 397, 1184, 19, 11382, 962, 2753, 31, 204, 305, 1184, 19, 11382, 1412, 368, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 264, 436, 906, 2045, 68, 1715, 12677, 68, 29756, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 9469, 12677, 415, 10687, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 22295, 275, 5926, 302, 9469, 12677, 415, 10687, 2696, 1609, 523, 275, 11327, 68, 266, 1489, 204, 268, 397, 1184, 19, 13914, 68, 266, 292, 933, 13, 27, 17, 2958, 330, 204, 305, 397, 1184, 19, 11382, 962, 2753, 31, 204, 485, 1184, 19, 11382, 1412, 435, 204, 268, 1677, 1184, 19, 13914, 68, 266, 292, 933, 13, 21, 17, 887, 330, 204, 305, 397, 1184, 19, 11382, 962, 2753, 31, 204, 485, 1184, 19, 11382, 1412, 571, 204, 268, 902, 31, 204, 305, 314, 8715, 275, 5926, 311, 500, 397, 275, 11327, 68, 266, 1489, 869, 7568, 204, 305, 1184, 19, 11382, 289, 500, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 264, 436, 906, 2045, 68, 495, 79, 7014, 13, 327, 17, 1184, 31, 379, 4307, 534, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 5926, 302, 852, 79, 7014, 2696, 19, 204, 204, 268, 457, 31, 204, 305, 1184, 31, 334, 1184, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 33276, 275, 5926, 302, 852, 79, 7014, 2696, 204, 268, 397, 1184, 19, 11382, 1323, 500, 31, 204, 305, 1184, 19, 11382, 4922, 435, 204, 268, 314, 33276, 275, 11327, 68, 266, 1489, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1184, 19, 13914, 68, 266, 4922, 368, 204, 204, 676, 9342, 31, 204, 264, 320, 204, 264, 2646, 437, 1184, 440, 273, 588, 17, 11327, 68, 266, 1489, 17, 329, 5926, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1184, 19, 204, 268, 11327, 68, 266, 322, 339, 330, 334, 11327, 68, 266, 1489, 302, 275, 1184, 19, 204, 268, 5926, 322, 339, 330, 334, 5926, 302, 275, 1184, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 11327, 68, 266, 31, 421, 17, 5926, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1184, 440, 273, 588, 17, 11327, 68, 266, 1489, 17, 329, 5926, 19, 204, 204, 268, 457, 31, 204, 305, 588, 31, 334, 588, 302, 275, 1184, 19, 204, 305, 11327, 68, 266, 31, 334, 11327, 68, 266, 1489, 302, 275, 1184, 19, 204, 305, 5926, 31, 334, 5926, 302, 275, 1184, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 13914, 68, 266, 289, 11327, 68, 266, 204, 268, 370, 19, 11382, 289, 5926, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1184, 19, 204, 204, 268, 475, 31, 204, 305, 332, 782, 2355, 302, 275, 1184, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 417, 1522, 463, 327, 19, 13914, 68, 266, 1522, 463, 327, 19, 11382, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 458, 302, 2696, 204, 264, 2696, 289, 551, 204, 268, 9342, 499, 38, 2669, 565, 1476, 528, 931, 17, 1199, 659, 204, 268, 9342, 499, 10215, 12677, 11669, 311, 273, 313, 10059, 48, 1889, 2934, 47651, 27041, 528, 720, 17, 2468, 659, 204, 268, 9342, 499, 1046, 79, 7014, 528, 2153, 17, 2846, 659, 204, 264, 2437, 204, 204, 264, 314, 666, 273, 41449, 916, 55, 1518, 1014, 204, 264, 357, 362, 916, 68, 22692, 289, 41449, 916, 55, 1518, 13, 1996, 14, 204, 204, 264, 314, 1716, 275, 5926, 302, 275, 2696, 204, 264, 357, 362, 916, 68, 22692, 19, 2045, 68, 11382, 374, 204, 204, 264, 314, 1198, 275, 2908, 2696, 204, 264, 348, 1184, 292, 357, 362, 916, 68, 22692, 19, 1996, 31, 204, 268, 456, 13, 1271, 14, 204, 0, 658, 3957, 1940, 10718, 204, 204, 673, 41680, 3284, 353, 273, 4474, 1376, 292, 7299, 11258, 17, 4310, 448, 31, 204, 204, 5965, 82, 1859, 57, 5609, 23, 98, 289, 309, 1881, 23, 98, 465, 284, 1859, 93, 5609, 23, 98, 465, 284, 1859, 94, 5609, 23, 98, 289, 471, 1881, 23, 98, 338, 284, 1859, 95, 5609, 23, 20149, 204, 204, 3663, 31, 204, 18, 4728, 82, 8021, 353, 275, 35118, 3284, 17, 204, 18, 4728, 85, 1859, 93, 22116, 329, 4728, 85, 1859, 94, 22116, 529, 275, 5353, 70, 10066, 311, 275, 11310, 9669, 322, 266, 275, 41680, 2945, 659, 204, 18, 4728, 42, 8021, 353, 275, 2796, 17, 329, 204, 18, 4728, 85, 1859, 95, 22116, 353, 275, 8454, 4558, 275, 11310, 9669, 19, 204, 204, 1380, 3957, 1940, 10754, 204, 204, 673, 41680, 2796, 353, 4310, 448, 31, 204, 204, 5965, 42, 1859, 57, 98, 289, 471, 688, 1209, 3164, 5968, 96, 85, 7449, 57, 7015, 12799, 5968, 96, 85, 20212, 20149, 204, 204, 3663, 16815, 5968, 96, 85, 7449, 57, 98, 289, 322, 85, 1859, 93, 1522, 284, 1859, 94, 1937, 8021, 353, 275, 41680, 8454, 2450, 19, 204, 204, 3070, 273, 3284, 3275, 7299, 11407, 13, 82, 289, 500, 65, 3917, 4728, 42, 1859, 57, 98, 289, 284, 1859, 57, 98, 289, 309, 1859, 57, 38833, 204, 204, 1380, 7609, 18, 23399, 15966, 204, 204, 3070, 273, 1561, 302, 970, 9312, 17, 275, 3284, 618, 444, 3392, 974, 31, 204, 204, 5965, 50, 1859, 429, 5609, 23, 98, 289, 322, 85, 1859, 70, 98, 465, 284, 1859, 71, 35418, 23, 98, 289, 284, 1859, 70, 5609, 23, 98, 465, 284, 1859, 71, 5609, 23, 98, 465, 435, 85, 1859, 70, 98, 85, 1859, 71, 20149, 204, 204, 5965, 50, 1859, 429, 5609, 23, 98, 289, 309, 1859, 70, 5609, 23, 98, 465, 309, 1859, 71, 5609, 23, 98, 465, 435, 13, 42, 1859, 70, 98, 42, 1859, 71, 98, 338, 688, 5968, 96, 85, 7449, 70, 98, 688, 4423, 688, 5968, 96, 85, 7449, 71, 1937, 12705, 204, 204, 1380, 3957, 1940, 10718, 292, 7609, 18, 23399, 15966, 204, 204, 837, 275, 1322, 302, 273, 10321, 1025, 970, 9312, 1273, 1051, 7299, 2950, 444, 7675, 5104, 17, 275, 41680, 3284, 353, 4310, 448, 31, 204, 204, 5965, 50, 1859, 57, 5609, 23, 98, 289, 322, 42, 1859, 57, 17, 22, 98, 465, 471, 1859, 57, 17, 23, 35418, 23, 98, 338, 11407, 5968, 96, 85, 7449, 57, 17, 22, 98, 465, 688, 5968, 96, 85, 7449, 57, 17, 23, 35418, 23, 20149, 204, 204, 3663, 4728, 42, 1859, 57, 17, 22, 22116, 329, 4728, 42, 1859, 57, 17, 23, 22116, 529, 275, 41680, 21940, 302, 275, 35240, 19, 204, 204, 3070, 3284, 3275, 35240, 17, 275, 41680, 3284, 11388, 311, 31, 204, 204, 5965, 50, 1859, 57, 5609, 23, 98, 289, 435, 42, 1859, 57, 17, 22, 98, 42, 1859, 57, 17, 23, 7293, 22, 338, 688, 2809, 688, 7430, 36715, 204, 204, 3663, 16815, 7430, 8021, 353, 275, 2746, 1283, 275, 35240, 292, 275, 41680, 6258, 19, 0, 647, 4104, 204, 647, 1875, 204, 647, 2454, 204, 647, 3238, 204, 204, 461, 1137, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 273, 2084, 510, 497, 275, 800, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 3271, 2084, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 87, 534, 448, 510, 31, 204, 305, 407, 1875, 19, 986, 13, 553, 14, 226, 314, 1974, 1875, 19, 986, 374, 5976, 302, 1875, 19, 5569, 374, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 2106, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 17, 424, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 273, 955, 311, 273, 2084, 510, 630, 275, 800, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 268, 424, 322, 873, 330, 334, 424, 311, 444, 6467, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 92, 534, 448, 510, 31, 204, 268, 1875, 19, 4573, 13, 481, 17, 510, 17, 8851, 34, 25, 17, 1688, 68, 3261, 34, 1021, 14, 204, 204, 461, 1352, 68, 2039, 68, 553, 13, 2039, 68, 553, 68, 546, 31, 394, 17, 1714, 31, 1135, 17, 1627, 880, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2306, 510, 329, 1395, 275, 1714, 329, 1627, 880, 5239, 19, 204, 204, 264, 457, 31, 204, 268, 4104, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 268, 1714, 322, 873, 330, 334, 1714, 955, 19, 204, 268, 1627, 880, 322, 873, 330, 334, 1627, 880, 955, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 510, 2560, 2518, 9221, 311, 1451, 490, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 2039, 68, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 4104, 68, 6439, 289, 4104, 19, 29180, 13, 553, 14, 204, 305, 456, 13, 75, 7, 2310, 874, 1605, 2357, 31, 463, 2039, 68, 6439, 19, 44293, 743, 204, 305, 348, 1237, 292, 4104, 68, 6439, 31, 204, 485, 7276, 68, 417, 289, 636, 68, 9521, 68, 417, 13, 937, 14, 204, 485, 314, 1716, 275, 1714, 955, 204, 485, 397, 7276, 68, 417, 508, 292, 1714, 31, 204, 895, 1714, 64, 9521, 68, 417, 66, 289, 379, 1957, 12, 204, 485, 314, 1716, 275, 1627, 880, 955, 204, 485, 397, 1237, 736, 17257, 2295, 839, 508, 292, 1627, 880, 31, 204, 895, 1627, 880, 64, 937, 736, 17257, 2295, 11653, 289, 1306, 204, 485, 397, 7276, 68, 417, 508, 292, 1627, 880, 64, 937, 736, 17257, 2295, 839, 744, 204, 895, 1627, 880, 64, 937, 736, 17257, 2295, 29385, 1223, 13, 9521, 68, 417, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 2039, 68, 553, 68, 546, 743, 204, 204, 461, 636, 68, 9521, 68, 417, 13, 937, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 7276, 588, 497, 275, 800, 1237, 19, 204, 204, 264, 457, 31, 204, 268, 1237, 322, 873, 330, 334, 1237, 1174, 275, 7276, 677, 1483, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7276, 677, 588, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 379, 5434, 22974, 588, 12, 397, 490, 677, 508, 1392, 17, 2130, 732, 379, 5834, 417, 12, 204, 264, 7276, 68, 417, 289, 1237, 736, 5434, 22974, 588, 839, 397, 1237, 736, 5434, 22974, 588, 839, 2167, 5607, 902, 1237, 736, 5834, 417, 839, 204, 264, 7276, 68, 417, 1412, 379, 379, 465, 1237, 736, 12378, 588, 839, 204, 264, 407, 7276, 68, 417, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 1974, 3238, 348, 1354, 1007, 4601, 6673, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 4880, 273, 2306, 510, 329, 1395, 275, 1714, 329, 1627, 880, 5239, 5901, 204, 264, 1732, 19, 826, 68, 2389, 611, 2039, 68, 553, 68, 546, 491, 1340, 833, 673, 832, 311, 275, 2306, 510, 5901, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 4104, 68, 553, 68, 546, 289, 2042, 19, 2039, 68, 553, 68, 546, 204, 264, 1714, 68, 553, 68, 546, 289, 379, 2262, 405, 270, 419, 18, 1835, 19, 1775, 12, 204, 264, 1627, 880, 68, 553, 68, 546, 289, 379, 2262, 405, 270, 419, 18, 2207, 880, 19, 1775, 12, 204, 204, 264, 314, 1385, 275, 1714, 329, 1627, 880, 5239, 204, 264, 1714, 289, 1137, 68, 1775, 68, 553, 13, 1835, 68, 553, 68, 546, 14, 204, 264, 1627, 880, 289, 1137, 68, 1775, 68, 553, 13, 2207, 880, 68, 553, 68, 546, 14, 204, 204, 264, 314, 3325, 275, 2306, 510, 204, 264, 1352, 68, 2039, 68, 553, 13, 2039, 68, 553, 68, 546, 17, 1714, 17, 1627, 880, 14, 204, 204, 264, 314, 3025, 275, 2908, 1714, 329, 1627, 880, 5239, 204, 264, 2106, 68, 1775, 68, 553, 13, 1835, 68, 553, 68, 546, 17, 1714, 14, 204, 264, 2106, 68, 1775, 68, 553, 13, 2207, 880, 68, 553, 68, 546, 17, 1627, 880, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 676, 11942, 3609, 23194, 596, 13, 2940, 330, 204, 264, 320, 204, 264, 5336, 2710, 348, 4854, 560, 2962, 19, 204, 204, 264, 1532, 31, 204, 268, 943, 322, 325, 330, 334, 908, 943, 19, 204, 268, 424, 322, 873, 330, 6119, 424, 3232, 311, 275, 908, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 943, 31, 394, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 2710, 440, 273, 943, 329, 4916, 424, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 330, 334, 908, 943, 19, 204, 305, 424, 322, 873, 330, 6119, 424, 3232, 311, 275, 908, 19, 204, 268, 320, 204, 268, 370, 19, 1454, 289, 943, 204, 268, 370, 19, 481, 289, 424, 204, 268, 2234, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3853, 924, 889, 1454, 14, 204, 204, 461, 3281, 13, 20262, 31, 818, 17, 4731, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 35629, 275, 11054, 560, 275, 4731, 17, 17863, 437, 2710, 397, 275, 4731, 353, 2962, 19, 204, 204, 264, 457, 31, 204, 268, 11054, 322, 996, 330, 334, 542, 2545, 6167, 19, 204, 268, 4731, 322, 996, 330, 334, 542, 560, 928, 572, 529, 8631, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 722, 302, 275, 4854, 19, 204, 204, 264, 1632, 31, 204, 268, 11942, 3609, 23194, 596, 31, 828, 275, 4731, 353, 2962, 19, 204, 264, 320, 204, 264, 314, 778, 348, 4854, 560, 2962, 329, 980, 273, 2363, 2710, 204, 264, 397, 4731, 564, 500, 31, 204, 268, 980, 11942, 3609, 23194, 596, 499, 8195, 560, 2962, 528, 2552, 20262, 597, 11054, 17, 379, 13610, 597, 4731, 1937, 204, 615, 264, 314, 3055, 275, 4854, 204, 264, 407, 11054, 802, 4731, 204, 204, 461, 683, 68, 17529, 4934, 1038, 31, 927, 64, 996, 17, 818, 694, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 3281, 741, 440, 275, 1917, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 540, 1038, 31, 1884, 88, 1174, 275, 11054, 329, 4731, 19, 204, 264, 320, 204, 264, 348, 2571, 292, 2042, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 2811, 275, 4854, 204, 305, 722, 289, 3281, 13, 2345, 64, 21, 648, 2571, 64, 22, 694, 204, 305, 456, 13, 75, 7, 8195, 722, 31, 463, 1300, 743, 204, 268, 827, 11942, 3609, 23194, 596, 448, 9981, 31, 204, 305, 314, 1426, 275, 4854, 560, 2962, 908, 204, 305, 456, 13, 75, 7, 596, 31, 463, 932, 13, 5823, 7906, 417, 367, 1522, 7837, 31, 463, 5823, 19, 1454, 1522, 1594, 31, 463, 5823, 19, 481, 743, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 17529, 1802, 22, 17, 500, 659, 322, 22, 17, 368, 659, 322, 1003, 17, 435, 602, 204, 0, 461, 949, 68, 12046, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 9776, 6400, 542, 974, 437, 18574, 3979, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 1502, 302, 275, 6400, 542, 311, 949, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 9776, 6400, 542, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 300, 353, 273, 2917, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 348, 2917, 537, 204, 264, 397, 300, 962, 500, 31, 204, 268, 980, 987, 499, 3383, 1631, 444, 273, 1950, 18, 4721, 1534, 1280, 204, 204, 264, 314, 3301, 2910, 348, 6400, 1767, 204, 264, 397, 300, 962, 435, 31, 204, 268, 407, 300, 204, 204, 264, 314, 977, 2558, 348, 275, 6400, 1767, 204, 264, 273, 17, 308, 289, 500, 17, 368, 204, 204, 264, 314, 888, 275, 9776, 6400, 542, 204, 264, 348, 906, 292, 933, 13, 23, 17, 300, 465, 368, 330, 204, 268, 314, 1716, 273, 329, 308, 348, 275, 1682, 6491, 204, 268, 273, 17, 308, 289, 308, 17, 273, 465, 308, 204, 204, 264, 407, 308, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 3893, 490, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 677, 537, 448, 437, 1534, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 1950, 18, 4721, 1534, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 575, 537, 204, 305, 537, 68, 1190, 289, 421, 13, 768, 499, 2101, 273, 542, 31, 4091, 204, 204, 305, 314, 778, 397, 275, 537, 353, 1950, 18, 4721, 204, 305, 397, 537, 68, 1190, 962, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 1950, 18, 4721, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 537, 68, 1190, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 763, 575, 537, 17, 949, 275, 3310, 6400, 542, 17, 329, 456, 275, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 575, 537, 204, 268, 537, 68, 1190, 289, 636, 68, 816, 68, 768, 374, 204, 204, 268, 314, 888, 275, 6400, 542, 204, 268, 16638, 68, 1300, 289, 949, 68, 12046, 13, 768, 68, 1190, 14, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 13, 75, 7, 673, 463, 768, 68, 1190, 98, 427, 6400, 542, 353, 31, 463, 12046, 68, 1300, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 4433, 68, 29710, 532, 11578, 204, 531, 4433, 68, 16807, 68, 26931, 532, 20210, 68, 5593, 204, 531, 19194, 276, 532, 19194, 204, 531, 1498, 532, 1884, 17, 1061, 204, 204, 531, 5325, 4949, 19, 19710, 68, 26351, 532, 17223, 63, 3535, 29216, 4949, 204, 204, 676, 17223, 30366, 8048, 13, 8048, 330, 204, 264, 320, 204, 264, 332, 3966, 348, 6886, 17223, 9624, 2758, 19, 204, 204, 264, 1058, 850, 3629, 273, 19870, 1382, 4510, 348, 9933, 17223, 20036, 19, 204, 264, 320, 204, 204, 264, 1642, 42309, 204, 264, 436, 589, 924, 889, 327, 17, 26358, 68, 26351, 68, 15293, 4949, 31, 17223, 63, 3535, 29216, 4949, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 17223, 30366, 8048, 440, 273, 17223, 63, 3535, 29216, 4949, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 26358, 68, 26351, 68, 15293, 4949, 322, 31611, 63, 3535, 29216, 4949, 330, 334, 5325, 4949, 348, 17223, 9624, 2758, 19, 204, 268, 320, 204, 268, 370, 806, 19710, 68, 26351, 68, 15293, 4949, 289, 26358, 68, 26351, 68, 15293, 4949, 204, 204, 264, 1642, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 16807, 68, 5593, 204, 264, 436, 636, 13, 327, 14, 393, 1884, 64, 1665, 17, 421, 744, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 830, 17223, 20036, 19, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 1665, 17, 421, 744, 332, 927, 1174, 275, 458, 302, 17223, 20036, 329, 273, 2031, 1714, 1576, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 4491, 275, 458, 302, 17223, 20036, 497, 275, 5325, 4949, 204, 305, 26358, 68, 26351, 289, 370, 806, 19710, 68, 26351, 68, 15293, 4949, 19, 655, 68, 668, 68, 26351, 374, 204, 305, 407, 2832, 19710, 68, 26351, 559, 26358, 68, 26351, 1522, 2031, 204, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 275, 2710, 348, 17114, 5356, 204, 305, 314, 2082, 19, 718, 13, 75, 7, 596, 9933, 17223, 20036, 31, 463, 325, 13, 74, 3835, 204, 305, 407, 2832, 1454, 559, 388, 3504, 311, 3686, 17223, 20036, 7832, 5106, 204, 0, 647, 1400, 204, 204, 461, 1900, 68, 24924, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 17, 5999, 68, 7709, 31, 818, 289, 500, 19, 24, 14, 393, 458, 31, 204, 264, 320, 204, 264, 2069, 273, 12713, 1525, 440, 1400, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 264, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 264, 5999, 68, 7709, 322, 996, 17, 1448, 330, 334, 2634, 302, 273, 2092, 2545, 273, 5999, 322, 2305, 353, 500, 19, 24, 789, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 2069, 848, 1237, 302, 275, 1525, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 314, 2069, 275, 1043, 4315, 302, 275, 1237, 204, 268, 1237, 289, 551, 24, 397, 1400, 19, 2017, 374, 2186, 5999, 68, 7709, 902, 500, 348, 906, 292, 933, 13, 6103, 3166, 435, 2395, 204, 822, 268, 314, 39989, 275, 1237, 311, 838, 13825, 204, 268, 1237, 1412, 551, 21, 66, 465, 1237, 12658, 22, 66, 204, 822, 268, 314, 9251, 275, 1237, 869, 275, 1706, 542, 302, 2630, 204, 268, 397, 10426, 1564, 435, 564, 500, 31, 204, 305, 1237, 289, 1237, 9128, 22, 66, 204, 822, 268, 1525, 19, 1223, 13, 937, 14, 204, 615, 264, 407, 1525, 204, 204, 461, 1020, 68, 9663, 13, 1663, 31, 458, 17, 1029, 68, 1309, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1752, 275, 3265, 302, 4207, 440, 2824, 1019, 292, 275, 1525, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 330, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 264, 1029, 68, 1309, 322, 655, 330, 332, 458, 302, 1019, 311, 1020, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 332, 955, 1273, 275, 3583, 529, 275, 1029, 1019, 329, 275, 1019, 529, 3330, 302, 3265, 19, 204, 264, 320, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 3265, 302, 848, 1029, 700, 204, 264, 2092, 68, 3992, 289, 463, 876, 31, 1306, 348, 700, 292, 1029, 68, 1309, 98, 204, 615, 264, 314, 1861, 1048, 275, 1525, 311, 1020, 275, 3265, 302, 848, 1029, 700, 204, 264, 348, 296, 17, 1237, 292, 3209, 13, 1663, 330, 204, 268, 348, 781, 17, 700, 292, 3209, 13, 937, 330, 204, 305, 397, 700, 292, 1029, 68, 1309, 31, 204, 485, 2092, 68, 3992, 64, 876, 1664, 1223, 1568, 78, 17, 781, 694, 204, 615, 264, 407, 2092, 68, 3992, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 1525, 5150, 204, 264, 3015, 289, 1199, 204, 264, 10426, 289, 13316, 204, 615, 264, 314, 2069, 273, 12713, 1525, 204, 264, 1525, 289, 1900, 68, 24924, 68, 1663, 13, 3173, 17, 10426, 14, 204, 615, 264, 314, 1752, 275, 3265, 302, 2962, 329, 5999, 4207, 204, 264, 1029, 68, 1309, 289, 551, 21, 17, 571, 66, 204, 264, 2092, 68, 3992, 289, 1020, 68, 9663, 13, 1663, 17, 1029, 68, 1309, 14, 204, 615, 264, 314, 1198, 275, 1563, 204, 264, 456, 499, 23194, 4207, 2180, 2092, 68, 3992, 64, 21, 694, 204, 264, 456, 499, 38780, 4207, 2180, 2092, 68, 3992, 64, 24, 694, 204, 264, 456, 499, 6425, 4207, 2180, 1245, 13, 4039, 68, 3992, 64, 21, 694, 465, 1245, 13, 4039, 68, 3992, 64, 24, 4513, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 4036, 68, 4649, 68, 1031, 13, 768, 68, 325, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 273, 800, 1534, 782, 17, 7057, 12467, 7152, 329, 27055, 275, 1574, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 325, 322, 325, 330, 334, 537, 1534, 782, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 1534, 782, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 782, 353, 1392, 521, 508, 273, 1097, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 782, 353, 1392, 204, 264, 397, 508, 537, 68, 325, 31, 204, 268, 980, 987, 499, 3383, 782, 353, 1392, 431, 204, 204, 264, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 1534, 204, 264, 397, 508, 537, 68, 325, 19, 26920, 6905, 3930, 13314, 1293, 204, 268, 980, 987, 499, 3383, 782, 353, 508, 273, 1097, 1534, 431, 204, 204, 264, 314, 4347, 275, 1574, 302, 275, 537, 782, 204, 264, 1574, 289, 21171, 397, 537, 68, 325, 19, 7209, 39657, 902, 5607, 204, 264, 314, 3182, 275, 1574, 497, 275, 537, 782, 204, 264, 4923, 68, 325, 289, 537, 68, 325, 19, 26920, 39657, 204, 204, 264, 314, 3182, 12467, 7152, 329, 4036, 275, 782, 204, 264, 7563, 68, 325, 289, 4923, 68, 325, 19, 14246, 611, 21, 534, 521, 379, 21, 12, 204, 264, 7563, 68, 325, 289, 7563, 68, 325, 12658, 22, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 66, 204, 204, 264, 314, 9587, 275, 1574, 329, 275, 7563, 782, 204, 264, 722, 289, 1574, 465, 7563, 68, 325, 204, 204, 264, 407, 722, 204, 204, 8, 1165, 1265, 31, 204, 461, 667, 1293, 204, 264, 537, 68, 325, 289, 537, 499, 2101, 437, 1534, 782, 31, 2810, 204, 264, 810, 31, 204, 268, 456, 13, 8553, 68, 4649, 68, 1031, 13, 768, 68, 325, 602, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 6032, 448, 1774, 204, 647, 2010, 448, 645, 204, 204, 8, 4861, 204, 29707, 68, 2956, 289, 931, 204, 29483, 68, 57, 68, 5605, 289, 931, 204, 920, 68, 1219, 68, 481, 289, 3861, 204, 2884, 68, 835, 289, 931, 204, 920, 68, 804, 68, 481, 289, 1607, 204, 16027, 289, 931, 204, 204, 676, 9389, 31, 204, 264, 320, 204, 264, 3301, 850, 348, 5829, 11898, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3532, 68, 998, 31, 421, 17, 2086, 68, 835, 31, 421, 330, 204, 268, 320, 204, 268, 977, 275, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3532, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 3532, 19, 204, 268, 338, 2086, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2086, 2817, 19, 204, 268, 320, 204, 268, 370, 806, 1744, 68, 835, 289, 2086, 68, 835, 204, 268, 370, 806, 5625, 68, 998, 289, 3532, 68, 998, 204, 204, 264, 436, 636, 68, 9727, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 763, 275, 2558, 302, 275, 2364, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 2558, 19, 204, 268, 320, 204, 268, 980, 9936, 374, 204, 204, 264, 436, 16545, 68, 531, 13, 327, 17, 6934, 68, 4165, 17, 588, 31, 394, 289, 443, 14, 393, 1774, 19, 12558, 31, 204, 268, 320, 204, 268, 31905, 275, 2364, 440, 275, 2139, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 6934, 68, 4165, 31, 334, 2139, 2364, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 16545, 2661, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 12105, 2661, 496, 7787, 4434, 275, 11898, 19, 204, 268, 320, 204, 268, 6934, 68, 9727, 289, 6934, 68, 4165, 19, 505, 68, 9727, 374, 204, 268, 13393, 68, 9727, 289, 370, 19, 505, 68, 9727, 374, 204, 204, 268, 16545, 68, 6147, 289, 1306, 204, 204, 268, 440, 1774, 19, 417, 68, 8871, 13, 417, 17, 388, 4165, 528, 10336, 448, 588, 31, 204, 305, 348, 322, 6422, 68, 4415, 17, 13393, 68, 4415, 14, 292, 4337, 13, 6422, 68, 9727, 17, 13393, 68, 9727, 330, 204, 485, 16545, 68, 760, 289, 1774, 19, 12188, 13, 15880, 68, 4415, 17, 6934, 68, 4415, 14, 204, 485, 16545, 68, 6147, 19, 1223, 13, 13417, 68, 760, 14, 204, 204, 268, 407, 1774, 19, 2207, 4934, 13417, 68, 6147, 17, 588, 34, 417, 14, 204, 204, 204, 676, 415, 1268, 310, 7822, 13, 7822, 330, 204, 264, 320, 204, 264, 415, 1268, 310, 2364, 850, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3532, 68, 998, 31, 421, 17, 2086, 68, 835, 31, 421, 330, 204, 268, 320, 204, 268, 977, 275, 678, 3052, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3532, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 3532, 19, 204, 268, 338, 2086, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 2086, 2817, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5625, 68, 998, 17, 2086, 68, 835, 14, 204, 268, 8995, 68, 417, 289, 283, 7, 1460, 68, 3052, 1859, 327, 806, 5625, 68, 998, 2495, 204, 268, 440, 1774, 19, 3334, 68, 8871, 13, 8871, 68, 417, 14, 448, 8995, 31, 204, 305, 314, 9389, 3093, 204, 305, 370, 19, 60, 22, 17, 370, 19, 71, 22, 289, 370, 806, 6586, 68, 3334, 1568, 1258, 17, 1132, 694, 204, 204, 305, 314, 4429, 424, 204, 305, 370, 19, 88, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 2665, 3603, 3170, 17, 435, 540, 43567, 68, 2956, 694, 204, 204, 305, 314, 23620, 19224, 2522, 204, 305, 373, 68, 6586, 22, 289, 1774, 19, 2606, 19, 5723, 13, 2987, 19, 15800, 13, 327, 19, 88, 17, 370, 19, 60, 22, 14, 465, 370, 19, 71, 22, 14, 204, 204, 305, 314, 13059, 2092, 204, 305, 26731, 289, 1774, 19, 2606, 19, 14968, 68, 4039, 19, 16624, 16794, 13446, 13, 29, 17, 1259, 68, 360, 68, 2644, 34, 1021, 14, 204, 204, 305, 314, 13194, 348, 4643, 919, 2522, 204, 305, 370, 19, 60, 23, 17, 370, 19, 71, 23, 289, 370, 806, 6586, 68, 3334, 1568, 29, 17, 43567, 68, 2956, 694, 204, 204, 305, 373, 68, 6586, 22, 289, 1774, 19, 6358, 13, 77, 68, 6586, 22, 17, 8308, 22, 17, 421, 13, 29483, 68, 57, 68, 5605, 659, 1132, 694, 204, 204, 305, 26731, 68, 7247, 17, 26731, 68, 1512, 289, 1774, 19, 2606, 19, 16520, 68, 14968, 13, 15283, 17, 373, 68, 6586, 22, 17, 204, 4157, 7263, 4798, 34, 2987, 19, 996, 2177, 17, 204, 4157, 7263, 8995, 34, 8871, 14, 204, 204, 305, 26731, 68, 7247, 289, 1774, 19, 6358, 13, 15283, 68, 7247, 17, 8308, 22, 17, 1132, 694, 204, 204, 305, 314, 15868, 322, 1420, 14, 204, 305, 370, 19, 976, 607, 68, 1460, 289, 1774, 19, 2606, 19, 11397, 13, 2987, 19, 15800, 13, 15283, 68, 7247, 17, 370, 19, 60, 23, 14, 465, 370, 19, 71, 23, 14, 204, 204, 305, 8995, 19, 47682, 68, 5592, 374, 204, 305, 370, 19, 60, 68, 15283, 289, 1774, 19, 505, 68, 3334, 499, 16624, 16794, 13446, 20, 6446, 20, 11767, 431, 204, 305, 370, 19, 71, 68, 15283, 289, 1774, 19, 505, 68, 3334, 499, 16624, 16794, 13446, 20, 6446, 20, 39, 3418, 431, 204, 204, 305, 370, 19, 7142, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 933, 13, 920, 68, 1219, 68, 481, 330, 204, 305, 273, 64, 83, 17, 421, 13, 3616, 68, 1155, 68, 272, 64, 83, 19094, 289, 368, 204, 268, 273, 289, 645, 19, 6358, 13, 70, 17, 551, 920, 68, 1219, 68, 481, 3166, 9060, 21425, 68, 57, 68, 5605, 17, 9060, 21425, 68, 57, 68, 5605, 17, 43567, 68, 2956, 694, 204, 204, 268, 314, 977, 275, 3666, 458, 204, 268, 814, 4434, 289, 1306, 204, 204, 268, 314, 2672, 275, 2364, 204, 268, 348, 296, 292, 933, 13, 339, 13, 920, 68, 1219, 68, 481, 3166, 2068, 68, 835, 3166, 9060, 21425, 68, 57, 68, 5605, 4019, 204, 305, 314, 31905, 275, 3221, 2364, 440, 275, 4610, 2364, 204, 305, 9897, 19, 1777, 13, 327, 19, 13417, 14, 204, 204, 305, 314, 3291, 275, 11431, 329, 636, 275, 2210, 204, 305, 6915, 2210, 68, 876, 289, 9897, 19, 1777, 1568, 327, 19, 6774, 68, 18368, 17, 370, 19, 4027, 68, 4165, 19, 2650, 648, 4182, 68, 873, 2508, 204, 485, 370, 19, 4027, 68, 4165, 19, 88, 31, 3584, 68, 1155, 68, 272, 64, 78, 540, 2068, 68, 835, 540, 9060, 21425, 68, 57, 68, 5605, 24082, 78, 465, 368, 14, 540, 2068, 68, 835, 540, 9060, 21425, 68, 57, 68, 5605, 17, 24083, 204, 485, 370, 19, 4027, 68, 4165, 19, 94, 68, 5015, 31, 273, 64, 78, 540, 2068, 68, 835, 24082, 78, 465, 368, 14, 540, 2068, 68, 835, 17, 8893, 10113, 1937, 204, 204, 305, 314, 763, 275, 919, 302, 275, 2364, 204, 305, 685, 289, 370, 19, 4027, 68, 4165, 19, 976, 607, 68, 1460, 19, 6844, 13, 2488, 34, 5338, 17, 4182, 68, 873, 2508, 327, 19, 4027, 68, 4165, 19, 88, 31, 3584, 68, 804, 68, 1155, 68, 272, 1937, 204, 204, 305, 314, 888, 275, 3666, 204, 305, 685, 68, 5015, 289, 645, 19, 11300, 13, 607, 17, 368, 14, 204, 305, 7417, 289, 645, 19, 3037, 13, 607, 68, 5015, 564, 5107, 68, 804, 68, 1155, 68, 272, 14, 204, 305, 814, 4434, 19, 1223, 13, 5015, 14, 204, 204, 305, 314, 1198, 275, 2210, 329, 3666, 204, 305, 397, 370, 806, 5625, 68, 998, 564, 500, 31, 204, 485, 456, 13, 75, 12, 9928, 463, 327, 806, 5625, 68, 998, 98, 2210, 463, 2650, 68, 876, 3501, 204, 485, 456, 13, 5015, 14, 204, 204, 305, 314, 8715, 275, 1259, 302, 275, 2364, 204, 305, 397, 296, 540, 9060, 21425, 68, 57, 68, 5605, 564, 771, 68, 1219, 68, 481, 3166, 13460, 31, 204, 485, 370, 19, 4027, 68, 4165, 19, 7142, 68, 1512, 374, 204, 204, 268, 314, 3025, 275, 3666, 311, 273, 510, 204, 268, 440, 1451, 13, 75, 7, 603, 481, 20, 5015, 1859, 327, 806, 5625, 68, 998, 3572, 3039, 528, 379, 92, 534, 448, 283, 31, 204, 305, 348, 7417, 292, 814, 4434, 31, 204, 485, 283, 19, 2206, 13, 325, 13, 5015, 14, 465, 7810, 83, 534, 204, 305, 283, 19, 3529, 374, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 12105, 2067, 204, 264, 9897, 289, 1774, 19, 5191, 374, 204, 204, 264, 314, 666, 273, 4610, 2364, 204, 264, 4610, 68, 4165, 289, 415, 1268, 310, 7822, 13, 21, 17, 43567, 68, 2956, 14, 204, 204, 264, 314, 666, 273, 6361, 740, 4576, 204, 264, 14441, 68, 748, 4576, 289, 1774, 19, 1219, 19, 39607, 13, 21, 19, 7585, 14, 204, 204, 264, 314, 666, 273, 678, 3052, 1737, 3532, 204, 264, 3532, 289, 415, 1268, 310, 13000, 9928, 13, 21, 17, 14441, 68, 748, 4576, 17, 4610, 68, 4165, 14, 204, 204, 264, 314, 977, 275, 2558, 204, 264, 9897, 19, 1777, 13, 2987, 19, 8313, 68, 5592, 68, 11873, 1447, 204, 204, 264, 314, 2672, 275, 2364, 204, 264, 3532, 19, 1219, 13, 5338, 17, 645, 19, 2017, 19, 2329, 13, 920, 68, 1219, 68, 481, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 1219, 68, 481, 17, 435, 540, 43567, 68, 2956, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 804, 68, 481, 659, 645, 19, 2017, 19, 2329, 13, 920, 68, 804, 68, 481, 17, 435, 540, 43567, 68, 2956, 602, 204, 0, 647, 4433, 204, 647, 5683, 204, 531, 11330, 19, 14643, 532, 636, 68, 18794, 68, 748, 17, 1523, 68, 18794, 68, 748, 204, 204, 8, 28356, 311, 838, 273, 683, 1545, 348, 275, 11330, 740, 204, 37, 6598, 19, 8999, 204, 461, 838, 68, 804, 68, 1723, 374, 393, 4433, 19, 9154, 19, 12865, 3368, 31, 204, 264, 320, 204, 264, 2605, 273, 683, 1545, 348, 275, 11330, 740, 19, 204, 204, 264, 9112, 31, 204, 268, 4433, 19, 9154, 19, 12865, 3368, 31, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 666, 275, 11330, 740, 204, 264, 740, 289, 636, 68, 18794, 68, 748, 374, 204, 264, 2136, 2381, 13, 748, 17, 4433, 19, 12865, 659, 388, 673, 11330, 740, 353, 508, 273, 3017, 1014, 7, 204, 204, 264, 314, 6153, 275, 740, 348, 2907, 204, 264, 740, 19, 1087, 1166, 41986, 1339, 289, 959, 204, 204, 264, 314, 666, 275, 683, 1545, 204, 264, 440, 740, 19, 804, 68, 1723, 374, 448, 1545, 31, 204, 268, 440, 740, 19, 748, 68, 3348, 1293, 204, 305, 4353, 1545, 204, 204, 204, 8, 1295, 496, 275, 740, 2584, 273, 2031, 1714, 1576, 204, 461, 683, 68, 748, 68, 1835, 68, 1181, 13, 1510, 68, 804, 68, 1723, 31, 4433, 19, 9154, 19, 12865, 3368, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 740, 2584, 273, 2031, 1714, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 838, 68, 804, 68, 1723, 322, 9879, 19, 9154, 19, 12865, 3368, 330, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1610, 1274, 204, 264, 958, 289, 838, 68, 804, 68, 1723, 19, 505, 19255, 204, 204, 264, 314, 4416, 496, 275, 1714, 1576, 353, 2031, 204, 264, 2136, 958, 19, 1835, 68, 1181, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 564, 2031, 17, 388, 673, 740, 3756, 508, 407, 273, 2031, 1714, 1576, 7, 204, 204, 204, 8, 1295, 496, 275, 740, 958, 3192, 275, 1812, 1666, 204, 461, 683, 68, 748, 68, 1935, 68, 2387, 13, 1510, 68, 804, 68, 1723, 31, 4433, 19, 9154, 19, 12865, 3368, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 740, 958, 3192, 275, 1812, 1666, 19, 204, 204, 264, 457, 31, 204, 268, 838, 68, 804, 68, 1723, 322, 9879, 19, 9154, 19, 12865, 3368, 330, 334, 683, 1545, 348, 275, 11330, 740, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1610, 1274, 204, 264, 958, 289, 838, 68, 804, 68, 1723, 19, 505, 19255, 204, 204, 264, 314, 4416, 496, 275, 958, 3192, 275, 1812, 1666, 204, 264, 2136, 308, 7, 5975, 9851, 292, 958, 19, 481, 17, 388, 673, 740, 958, 1583, 508, 918, 275, 1812, 1666, 7, 204, 204, 204, 8, 1295, 496, 275, 5187, 7590, 4248, 2584, 275, 1812, 919, 204, 461, 683, 68, 7590, 68, 6182, 13, 3972, 4807, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 496, 275, 5187, 7590, 4248, 2584, 275, 1812, 919, 19, 204, 204, 264, 457, 31, 204, 268, 2737, 4807, 31, 334, 5656, 1561, 919, 11598, 19, 204, 264, 320, 204, 264, 314, 2466, 275, 11330, 740, 440, 275, 5187, 7590, 4248, 204, 264, 440, 5683, 19, 11688, 13, 8177, 17100, 14, 448, 908, 31, 204, 268, 1523, 68, 18794, 68, 748, 9792, 582, 7590, 3808, 204, 204, 264, 314, 19305, 275, 919, 204, 264, 10573, 17, 14125, 289, 2737, 4807, 19, 976, 607, 5823, 374, 204, 204, 264, 314, 4416, 496, 275, 5925, 1576, 353, 500, 204, 264, 2136, 908, 19, 876, 19, 1181, 564, 500, 17, 388, 673, 5187, 7590, 4248, 3756, 508, 5925, 440, 1576, 500, 7, 204, 204, 264, 314, 4416, 496, 275, 919, 7036, 440, 388, 11281, 29027, 204, 264, 2136, 10573, 19, 7209, 499, 11281, 2212, 17, 388, 673, 919, 1583, 508, 1012, 440, 379, 11281, 31, 27130, 204, 204, 264, 314, 4416, 496, 1422, 353, 1236, 908, 919, 204, 264, 2136, 14125, 564, 8897, 388, 2841, 353, 908, 919, 7, 204, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 204, 204, 8, 4861, 204, 26721, 68, 16779, 3096, 68, 15462, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 6355, 68, 15462, 289, 1127, 19, 546, 19, 1541, 13, 26721, 68, 16779, 3096, 68, 15462, 17, 388, 481, 68, 12142, 431, 204, 204, 8, 5448, 348, 10775, 424, 204, 6355, 68, 34579, 289, 463, 204, 264, 388, 14240, 68, 19735, 559, 379, 3189, 1963, 8750, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 1292, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 14240, 19735, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 3871, 559, 379, 3189, 1963, 8750, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 1292, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 3871, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 29673, 559, 379, 3189, 1963, 1292, 19, 41262, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 29673, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 38526, 559, 379, 3189, 1963, 1292, 19, 41262, 19, 1453, 20, 48, 2063, 11887, 20, 83, 15227, 1257, 18, 19665, 1794, 18, 481, 20, 8319, 20, 481, 20, 2039, 20, 83, 5845, 72, 18, 19665, 1794, 18, 5950, 18, 14240, 18, 38526, 19, 2039, 491, 204, 264, 388, 18919, 68, 481, 559, 388, 3189, 1963, 19665, 1794, 19, 18919, 19, 339, 20, 40247, 18, 38556, 18, 1794, 18, 8313, 18, 481, 19, 2039, 7, 204, 98, 204, 204, 8, 2462, 1987, 348, 14460, 424, 204, 3951, 68, 17026, 289, 463, 204, 264, 388, 14240, 68, 19735, 559, 379, 14240, 68, 2045, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 3871, 559, 379, 5950, 68, 14240, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 29673, 559, 379, 5950, 68, 14240, 68, 19450, 68, 12142, 19, 2039, 491, 204, 264, 388, 5950, 68, 14240, 68, 38526, 559, 379, 5950, 68, 14240, 68, 42532, 68, 12142, 19, 2039, 491, 204, 264, 388, 18919, 68, 481, 559, 379, 18919, 68, 12142, 19, 2039, 12, 204, 98, 204, 204, 461, 3752, 68, 481, 13, 805, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 11244, 424, 497, 275, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 311, 3752, 424, 497, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 15801, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 3752, 424, 497, 275, 1274, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 805, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 10775, 204, 268, 456, 13, 75, 7, 596, 10775, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 3752, 68, 18919, 68, 481, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 11244, 27542, 424, 348, 36285, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 334, 15801, 27542, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6579, 27542, 424, 204, 268, 1415, 68, 481, 289, 1246, 19, 976, 68, 2039, 13, 6355, 68, 34579, 1166, 18919, 68, 481, 3808, 204, 268, 314, 4863, 424, 348, 36285, 204, 268, 407, 1415, 68, 481, 19, 1229, 64, 18919, 68, 481, 736, 18035, 839, 564, 379, 51, 15227, 1257, 6970, 736, 3713, 68, 40479, 491, 379, 18035, 491, 379, 6001, 68, 3871, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 491, 379, 40, 32053, 68, 3871, 491, 379, 6001, 68, 29673, 491, 379, 40, 32053, 68, 29673, 11653, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 10775, 204, 268, 456, 13, 75, 7, 596, 10775, 27542, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 636, 68, 481, 374, 393, 783, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 11244, 830, 3600, 424, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 2600, 19, 1362, 744, 332, 458, 302, 15801, 424, 19, 204, 264, 320, 204, 264, 424, 289, 551, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 14240, 68, 19735, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 3871, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 29673, 15100, 204, 268, 3752, 68, 481, 13, 6355, 68, 34579, 1166, 5950, 68, 14240, 68, 38526, 15100, 204, 268, 3752, 68, 18919, 68, 481, 374, 204, 264, 2437, 204, 264, 407, 424, 204, 204, 461, 1640, 68, 481, 13, 481, 31, 783, 64, 2600, 19, 1362, 694, 393, 443, 31, 204, 264, 320, 204, 264, 30479, 275, 15801, 424, 311, 2306, 1860, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1218, 64, 2600, 19, 1362, 1037, 332, 458, 302, 424, 311, 1640, 19, 204, 264, 320, 204, 264, 314, 666, 275, 424, 1445, 397, 490, 5409, 2964, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 6355, 68, 15462, 330, 204, 268, 1127, 19, 8240, 13, 6355, 68, 15462, 14, 204, 204, 264, 314, 6993, 848, 424, 2023, 311, 273, 2306, 510, 204, 264, 348, 296, 17, 2349, 292, 3209, 13, 481, 330, 204, 268, 397, 296, 564, 681, 31, 204, 305, 2349, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 15462, 17, 28267, 68, 17026, 1166, 18919, 68, 481, 15100, 1112, 34, 1975, 14, 204, 268, 902, 31, 204, 305, 2349, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 15462, 17, 28267, 68, 17026, 64, 655, 13, 3951, 68, 17026, 19, 3261, 26041, 78, 28541, 1112, 34, 1975, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 424, 289, 636, 68, 481, 374, 204, 264, 1640, 68, 481, 13, 481, 14, 204, 0, 38205, 3500, 990, 18673, 22858, 1001, 1002, 4348, 7744, 5340, 408, 2426, 5031, 18661, 19161, 942, 6658, 460, 20316, 59, 204, 27341, 408, 38205, 22858, 30115, 6810, 21161, 18084, 8075, 408, 38205, 22858, 2093, 15313, 11226, 9138, 18673, 22858, 408, 2499, 17280, 3784, 8342, 27659, 31947, 7624, 408, 5227, 12966, 16648, 4264, 35821, 6155, 568, 30510, 12869, 7782, 5381, 7509, 18, 9789, 4684, 4906, 10847, 460, 26456, 1398, 8075, 408, 38205, 22858, 7115, 1002, 1254, 48930, 1189, 7238, 10211, 408, 29608, 17576, 4499, 4228, 19768, 2436, 2638, 9255, 10361, 408, 12722, 4348, 7744, 5340, 408, 17202, 2494, 204, 27341, 408, 38205, 22858, 30115, 6810, 21161, 18084, 8075, 408, 38205, 22858, 2093, 15313, 11226, 9138, 990, 18673, 22858, 6681, 2499, 17280, 3784, 8342, 27659, 31947, 7624, 408, 5227, 12966, 16648, 4264, 35821, 6155, 568, 30510, 12869, 7782, 5381, 7509, 18, 9789, 4684, 4906, 10847, 460, 26456, 1398, 8075, 408, 38205, 22858, 7115, 1002, 1254, 48930, 1189, 7238, 10211, 408, 29608, 17576, 4499, 4228, 19768, 2436, 2638, 9255, 10361, 408, 12722, 4348, 7744, 5340, 408, 17202, 17979, 46830, 408, 2426, 5031, 18661, 10220, 942, 6658, 460, 20316, 59, 24630, 12185, 18543, 8464, 204, 4805, 1189, 990, 18673, 22858, 1001, 3812, 3167, 10144, 408, 6049, 6303, 921, 7427, 2426, 22978, 13636, 9516, 408, 42012, 38205, 22858, 3362, 24986, 408, 21511, 45650, 12175, 10368, 408, 854, 3944, 12966, 33640, 1111, 18673, 568, 2336, 14843, 2499, 8957, 9674, 23197, 1189, 990, 18673, 22858, 8464, 6810, 21161, 18084, 8075, 408, 1438, 6848, 7624, 7115, 4127, 2778, 5295, 22673, 11572, 408, 854, 38205, 22858, 460, 1458, 2034, 12927, 568, 204, 990, 2780, 26780, 2174, 1689, 19765, 460, 568, 1970, 2853, 19768, 22858, 10734, 408, 14843, 24257, 2780, 19765, 12676, 1002, 1490, 408, 6744, 19768, 22858, 568, 5643, 19768, 22858, 1970, 5227, 5002, 2730, 3500, 2382, 1111, 408, 3730, 2382, 1111, 568, 7782, 2780, 10531, 29797, 12722, 12776, 19768, 22858, 29797, 408, 19768, 22858, 35151, 854, 8695, 33868, 568, 6271, 2853, 2780, 12676, 35845, 18673, 22858, 6540, 6810, 21161, 18084, 2853, 408, 5768, 18673, 22858, 8957, 19582, 7059, 11035, 14843, 19765, 460, 568, 204, 38205, 9398, 22858, 5038, 408, 1456, 34083, 3854, 12582, 21590, 408, 3675, 27384, 16382, 3500, 5768, 10454, 3812, 38205, 22858, 12164, 6511, 9459, 1116, 7819, 7509, 8075, 408, 18673, 22858, 1603, 3854, 12582, 22858, 8437, 6583, 3606, 23316, 10220, 2426, 19137, 27384, 10332, 11691, 4129, 2359, 408, 2780, 8547, 27384, 17183, 7059, 9141, 6663, 408, 2218, 26572, 15609, 1926, 8085, 2853, 921, 9896, 22858, 408, 8085, 2853, 18992, 8437, 408, 2780, 7059, 9141, 11632, 30097, 6899, 13154, 11017, 6462, 10005, 408, 921, 38205, 1438, 6760, 9141, 4264, 5299, 11860, 17156, 4129, 2359, 408, 1527, 942, 9138, 6303, 725, 9138, 17321, 408, 6663, 6693, 2218, 12319, 8215, 10005, 21344, 7474, 5757, 20446, 21982, 6848, 408, 11204, 11691, 4771, 5309, 35558, 10734, 6540, 204, 17151, 10220, 1926, 13317, 4127, 17708, 7744, 5340, 17708, 4696, 6337, 1001, 1955, 19582, 831, 4762, 921, 23204, 8437, 14136, 1490, 408, 1886, 6693, 1946, 9398, 17535, 5626, 3733, 10644, 568, 8465, 408, 38205, 921, 9398, 22858, 8437, 38564, 408, 1456, 16806, 4323, 3632, 21707, 10454, 3812, 6810, 21161, 18084, 7479, 4311, 1111, 8957, 40177, 408, 2218, 8075, 9157, 2780, 4265, 38450, 11520, 4348, 5881, 5584, 4323, 3632, 25305, 5340, 6540, 204, 6810, 21161, 18084, 2853, 10220, 2780, 9141, 11095, 5844, 14328, 408, 2174, 14328, 1886, 9141, 15143, 7744, 854, 30933, 408, 6271, 2780, 1002, 19161, 27924, 3632, 568, 14464, 408, 6445, 40972, 2657, 7395, 1524, 6049, 2675, 28374, 27443, 408, 21210, 9826, 36549, 725, 11611, 1955, 408, 7782, 6049, 45500, 25361, 408, 7744, 21623, 2675, 11114, 568, 6878, 28374, 27443, 408, 2780, 9141, 4411, 7965, 854, 2174, 14328, 6540, 204, 11448, 408, 6462, 27384, 1456, 9092, 4323, 3632, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 16019, 6303, 408, 8181, 6689, 30802, 6791, 3178, 568, 6810, 21161, 18084, 8075, 408, 9141, 4525, 6689, 18661, 460, 21137, 408, 5958, 8547, 18980, 27384, 7652, 408, 3601, 7880, 31441, 568, 204, 990, 17013, 408, 2780, 31085, 1111, 4144, 7251, 4241, 7420, 35288, 1789, 1227, 27384, 39708, 1789, 408, 6573, 1789, 7678, 17280, 6303, 29931, 725, 12966, 6658, 725, 3248, 22953, 22105, 5727, 28257, 6256, 13934, 568, 2766, 11004, 18980, 35091, 408, 2766, 19661, 11004, 8376, 16799, 1227, 12164, 23343, 9163, 568, 6573, 21137, 20813, 408, 6445, 1550, 11095, 7420, 2657, 408, 3038, 6583, 2093, 1345, 11095, 2174, 7420, 408, 16192, 4660, 5844, 3456, 568, 6271, 408, 2780, 19161, 7360, 942, 6658, 460, 20316, 59, 6540, 204, 6810, 21161, 18084, 29968, 408, 921, 37593, 1227, 13974, 5949, 408, 7115, 38205, 4265, 1902, 2526, 14281, 12253, 13974, 408, 8376, 854, 8547, 18992, 13974, 460, 28805, 408, 7782, 23989, 460, 28805, 408, 3601, 7652, 568, 2780, 16294, 6462, 13974, 12164, 13423, 408, 28493, 854, 10366, 7652, 408, 10644, 24084, 3675, 6445, 7557, 2780, 4660, 18980, 13974, 3523, 2034, 12037, 408, 6429, 13974, 23989, 12023, 22105, 5727, 26431, 5844, 408, 2780, 42109, 6462, 13974, 18661, 568, 35151, 2675, 7292, 2675, 7292, 408, 27449, 47001, 27449, 3650, 229, 408, 6445, 33667, 5562, 2675, 24029, 3601, 6142, 408, 12833, 22858, 30164, 17663, 19774, 6540, 204, 3500, 6689, 3622, 22858, 2570, 5522, 17991, 4987, 4068, 6689, 7858, 27384, 1227, 12966, 408, 17013, 1003, 2903, 408, 38205, 22858, 29608, 25869, 16865, 460, 12966, 9398, 19768, 2436, 24986, 3068, 408, 37602, 10852, 25669, 19084, 35607, 4852, 568, 204, 6810, 21161, 18084, 8075, 9157, 921, 30802, 8728, 408, 21711, 27659, 3733, 9703, 408, 2402, 13444, 2638, 17576, 26749, 408, 6445, 2853, 1527, 7395, 27443, 26431, 2174, 408, 1524, 38205, 35196, 568, 11204, 2780, 19390, 4684, 13251, 568, 3248, 22953, 12966, 921, 30113, 5201, 21904, 408, 2780, 27919, 3248, 22953, 30114, 725, 4411, 1390, 9784, 460, 12966, 29964, 460, 30114, 725, 12966, 16785, 42109, 17621, 22700, 408, 6429, 27384, 35860, 725, 27405, 11934, 8085, 8766, 16761, 1684, 3248, 22953, 22378, 408, 1456, 10513, 9169, 568, 2780, 3601, 14515, 2638, 9255, 19768, 408, 9536, 7238, 14168, 10859, 6540, 204, 2218, 8075, 408, 38205, 41976, 6689, 18661, 1227, 46830, 39552, 1550, 12198, 5002, 25246, 568, 5643, 12966, 4525, 2638, 9255, 17576, 27007, 9238, 408, 2780, 21756, 42109, 21178, 10717, 1227, 38636, 408, 7782, 4296, 27384, 4660, 41021, 3456, 725, 25500, 568, 921, 28450, 25869, 26749, 1946, 408, 6303, 921, 38205, 10531, 725, 24591, 408, 10434, 13399, 408, 22610, 21826, 19726, 38205, 22858, 8088, 408, 12319, 13399, 10844, 854, 10092, 19572, 460, 408, 6271, 11632, 10844, 17584, 568, 204, 6810, 21161, 18084, 6076, 408, 2218, 10011, 38205, 22858, 1946, 25326, 7238, 28987, 408, 4987, 5227, 6689, 18661, 2274, 7756, 19987, 24019, 4079, 568, 38205, 22858, 15789, 4045, 17087, 3560, 725, 35007, 12164, 14525, 5759, 15122, 18661, 10332, 408, 11962, 47186, 27384, 725, 12966, 460, 18661, 38636, 408, 12244, 9741, 1296, 124, 1296, 116, 20316, 59, 22842, 12833, 6689, 18661, 408, 1254, 27969, 2822, 7604, 10884, 2056, 3248, 5932, 568, 204, 29705, 38205, 19297, 10529, 36138, 408, 7267, 1565, 6689, 4239, 2849, 16294, 22, 19, 27, 12700, 408, 13421, 11007, 24379, 12037, 12122, 408, 7530, 24293, 19556, 12573, 25609, 46259, 1603, 12966, 3590, 1689, 5097, 15789, 5300, 3058, 4525, 3784, 21137, 22378, 5253, 25, 4330, 3183, 34013, 27405, 35860, 11934, 408, 48580, 9784, 2426, 9850, 1649, 105, 14808, 35860, 12966, 5253, 2188, 4330, 3151, 408, 23788, 1926, 9784, 35860, 12966, 5253, 35898, 3151, 568, 204, 6810, 21161, 18084, 8075, 408, 2218, 6371, 3131, 2174, 18673, 22858, 23217, 6010, 408, 3038, 5718, 1603, 21947, 942, 40412, 408, 1002, 10694, 1638, 831, 1398, 568, 38205, 22858, 2499, 1189, 18099, 27384, 4660, 15191, 8830, 5932, 408, 12037, 13284, 35968, 24986, 10844, 408, 1002, 3675, 27657, 12012, 17403, 10539, 7604, 12012, 14281, 10880, 1822, 20316, 59, 6744, 38205, 22858, 408, 1367, 4660, 3941, 3632, 2174, 2654, 24630, 38205, 22858, 6540, 6810, 21161, 18084, 2853, 568, 0, 647, 1127, 204, 647, 2454, 204, 531, 24790, 19, 936, 532, 38543, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 824, 17, 2566, 68, 531, 68, 2100, 204, 531, 309, 37222, 532, 8775, 204, 647, 309, 37222, 19, 809, 448, 570, 1825, 204, 531, 309, 37222, 532, 8603, 204, 531, 309, 37222, 19, 1087, 532, 2937, 204, 204, 8, 4861, 204, 676, 4861, 31, 204, 264, 320, 7554, 1376, 7870, 275, 1650, 1279, 204, 264, 21025, 68, 4887, 289, 1127, 19, 14702, 374, 204, 264, 13158, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 10642, 68, 4887, 17, 388, 2936, 431, 204, 264, 30184, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 10642, 68, 4887, 17, 388, 8236, 431, 204, 264, 30184, 68, 4082, 289, 1127, 19, 546, 19, 1541, 13, 9534, 68, 4887, 17, 388, 3497, 68, 37222, 68, 19298, 24, 19, 77, 26, 431, 204, 204, 8, 21075, 361, 19965, 1586, 204, 676, 23348, 2108, 13, 2108, 330, 204, 264, 320, 9515, 348, 1737, 523, 275, 1485, 1279, 204, 264, 27442, 289, 388, 19298, 7, 204, 264, 12526, 68, 9763, 289, 368, 204, 264, 382, 2097, 19285, 68, 6959, 68, 22690, 289, 368, 204, 264, 10028, 68, 15176, 289, 368, 465, 368, 226, 314, 5665, 465, 26735, 204, 264, 41675, 68, 2313, 2421, 1452, 68, 4586, 14138, 289, 322, 29, 17, 2247, 17, 5737, 17, 7569, 17, 7328, 14, 226, 314, 12205, 1653, 292, 9685, 204, 264, 29147, 68, 2267, 6906, 68, 6959, 68, 8440, 289, 11818, 204, 264, 20432, 5354, 68, 6959, 68, 13425, 289, 2031, 204, 204, 676, 39425, 2108, 13, 4872, 5861, 2108, 330, 204, 264, 320, 9515, 348, 12849, 1279, 204, 264, 12526, 68, 9763, 289, 368, 204, 264, 382, 2097, 19285, 68, 6959, 68, 22690, 289, 368, 204, 264, 412, 2166, 42, 7482, 68, 6930, 68, 42807, 39887, 289, 500, 19, 30, 204, 204, 8, 1385, 21075, 361, 19965, 570, 204, 461, 1137, 68, 809, 374, 393, 570, 1825, 19, 22343, 43712, 31, 204, 264, 320, 204, 264, 1385, 275, 21075, 361, 19965, 570, 19, 204, 204, 264, 475, 31, 204, 268, 570, 1825, 19, 22343, 43712, 31, 334, 3271, 21075, 361, 19965, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 570, 19, 204, 264, 320, 204, 264, 12849, 68, 1087, 289, 39425, 2108, 374, 204, 264, 570, 289, 570, 1825, 19, 22343, 43712, 13, 3607, 1022, 20361, 528, 954, 34, 20361, 68, 1087, 17, 570, 68, 1217, 34, 7554, 19, 9534, 68, 4887, 14, 204, 264, 570, 19, 986, 68, 3815, 13, 7554, 19, 9534, 68, 4082, 17, 560, 68, 417, 34, 1021, 14, 204, 264, 407, 570, 204, 204, 8, 9557, 2828, 292, 437, 752, 204, 461, 4522, 68, 2856, 13, 935, 68, 546, 31, 394, 17, 570, 31, 570, 1825, 19, 22343, 43712, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 9557, 2828, 292, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 268, 570, 322, 809, 1825, 19, 22343, 43712, 330, 334, 21075, 361, 19965, 570, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 7151, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 752, 204, 264, 752, 289, 38543, 13, 935, 68, 546, 14, 204, 615, 264, 314, 9557, 2828, 292, 275, 752, 204, 264, 1563, 289, 570, 19, 11283, 1568, 935, 648, 2874, 34, 22, 14, 204, 615, 264, 407, 1563, 64, 21, 66, 204, 204, 8, 3025, 7151, 1563, 204, 461, 2106, 68, 2826, 13, 935, 68, 546, 31, 394, 17, 1563, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 7151, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 19, 204, 268, 1563, 322, 873, 330, 334, 7151, 1563, 19, 204, 264, 320, 204, 264, 314, 763, 275, 752, 588, 204, 264, 752, 68, 417, 289, 1127, 19, 546, 19, 17752, 13, 935, 68, 546, 5604, 21, 66, 204, 615, 264, 314, 778, 397, 275, 752, 588, 10045, 440, 12895, 6906, 7, 204, 264, 397, 508, 752, 68, 417, 19, 9641, 22361, 6906, 6471, 204, 268, 314, 12626, 275, 7151, 1563, 204, 268, 9066, 289, 8603, 19, 2994, 68, 12270, 13, 10465, 13, 935, 68, 546, 659, 1563, 736, 40301, 2043, 1563, 736, 15719, 2043, 1563, 736, 676, 68, 1915, 2043, 3134, 35990, 528, 388, 5365, 2869, 1563, 736, 4319, 2378, 204, 822, 268, 314, 3025, 275, 17574, 204, 268, 9066, 19, 12273, 13, 935, 68, 417, 465, 12895, 6906, 19, 5684, 528, 14185, 68, 22520, 1022, 14923, 528, 5258, 68, 22520, 34, 21, 14, 204, 204, 8, 3017, 1650, 204, 748, 289, 3017, 3843, 417, 4422, 204, 8558, 68, 10642, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 204, 8, 666, 275, 752, 1445, 397, 490, 1583, 508, 1337, 204, 403, 508, 1127, 19, 546, 19, 16249, 13, 865, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 15357, 330, 204, 264, 1127, 19, 13986, 13, 865, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 20, 3063, 204, 204, 37, 748, 19, 3955, 12394, 204, 461, 2941, 374, 393, 394, 31, 204, 264, 320, 204, 264, 334, 2941, 1472, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 19, 204, 264, 320, 204, 264, 407, 2111, 68, 3143, 611, 7488, 19, 2079, 534, 204, 204, 37, 748, 19, 3955, 6343, 7488, 528, 2986, 8090, 4252, 528, 379, 5016, 2378, 204, 461, 5991, 374, 393, 394, 31, 204, 264, 320, 204, 264, 334, 5991, 1472, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2399, 19, 204, 264, 320, 204, 264, 1029, 289, 1127, 19, 546, 19, 1541, 13, 8558, 68, 10642, 17, 379, 2936, 15357, 204, 615, 264, 314, 763, 275, 10460, 1860, 204, 264, 348, 5991, 292, 824, 19, 2375, 19, 505, 655, 499, 553, 6471, 204, 268, 2049, 289, 5991, 19, 2029, 204, 268, 4297, 289, 1127, 19, 546, 19, 1541, 13, 2170, 17, 2049, 14, 204, 268, 5991, 19, 2360, 13, 8480, 14, 204, 615, 264, 314, 1385, 275, 570, 204, 264, 570, 289, 1137, 68, 809, 374, 204, 615, 264, 314, 9557, 2828, 292, 275, 10460, 2388, 204, 264, 348, 752, 68, 546, 292, 1127, 19, 8970, 13, 7554, 19, 8440, 68, 4887, 330, 204, 268, 752, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7554, 19, 8440, 68, 4887, 17, 752, 68, 546, 14, 204, 268, 1563, 289, 4522, 68, 2856, 13, 935, 68, 546, 17, 570, 14, 204, 268, 2106, 68, 2826, 13, 935, 68, 546, 17, 1563, 14, 204, 615, 264, 314, 763, 275, 752, 1987, 204, 264, 752, 68, 2199, 289, 1127, 19, 8970, 13, 7554, 19, 8440, 68, 4887, 14, 204, 615, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 752, 68, 2199, 34, 935, 68, 2199, 14, 204, 204, 37, 748, 19, 3955, 4195, 7488, 8121, 2029, 16906, 204, 461, 2566, 68, 935, 13, 2029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 2878, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2312, 752, 19, 204, 264, 320, 204, 264, 407, 2566, 68, 531, 68, 2100, 499, 2936, 528, 2049, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 647, 1127, 204, 531, 1498, 532, 1535, 204, 204, 676, 9258, 2108, 31, 204, 264, 320, 204, 264, 9258, 1586, 2557, 19, 204, 204, 264, 1058, 850, 11040, 13515, 329, 1950, 18, 14260, 1586, 2557, 348, 275, 1650, 19, 204, 264, 30133, 1536, 1483, 1702, 448, 14180, 329, 1893, 3583, 529, 3271, 497, 1964, 2558, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 314, 1385, 13515, 1483, 497, 1964, 2558, 204, 268, 370, 19, 4159, 68, 2574, 31, 394, 289, 379, 4159, 12, 204, 268, 370, 19, 4159, 68, 1989, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 25430, 68, 9778, 534, 204, 268, 370, 19, 5051, 31, 394, 289, 379, 7941, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5051, 19, 1453, 12, 204, 268, 370, 19, 1479, 68, 553, 31, 394, 289, 5014, 5189, 20, 3515, 3677, 19, 1479, 12, 204, 268, 370, 19, 25768, 68, 644, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 39645, 68, 4617, 534, 204, 268, 370, 19, 25768, 68, 8076, 68, 359, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 611, 39645, 68, 46974, 68, 1701, 534, 204, 204, 264, 436, 3893, 68, 1087, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3866, 275, 1586, 2557, 19, 204, 204, 268, 1058, 1216, 5377, 397, 830, 1945, 1586, 2557, 529, 3113, 19, 204, 268, 320, 204, 268, 1945, 68, 3282, 289, 2470, 4159, 68, 1989, 491, 379, 25768, 68, 644, 491, 379, 25768, 68, 8076, 68, 359, 839, 204, 268, 348, 5465, 292, 1945, 68, 3282, 31, 204, 305, 397, 508, 10175, 13, 327, 17, 5465, 330, 204, 485, 980, 987, 13, 75, 7, 14344, 1945, 1586, 5465, 31, 463, 12825, 743, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 1586, 2557, 19, 204, 204, 268, 1058, 1216, 2584, 273, 782, 2355, 302, 275, 1586, 2557, 17, 16533, 13515, 1483, 19, 204, 268, 320, 204, 268, 407, 283, 7, 42112, 13, 4159, 68, 2574, 11607, 327, 19, 4159, 68, 2574, 7798, 4064, 11607, 327, 19, 5051, 7798, 1863, 68, 553, 11607, 327, 19, 1479, 68, 553, 21121, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 954, 289, 9258, 2108, 374, 204, 264, 954, 19, 5542, 68, 1087, 374, 204, 264, 456, 13, 1087, 14, 204, 0, 647, 1875, 204, 647, 1127, 204, 647, 690, 204, 531, 1498, 532, 783, 204, 204, 647, 10987, 204, 531, 10987, 19, 1219, 532, 23190, 204, 531, 10987, 19, 1219, 19, 11610, 19, 8575, 7387, 478, 19, 8575, 7387, 478, 68, 2569, 532, 322, 204, 264, 951, 68, 4266, 448, 4057, 7387, 478, 68, 3109, 68, 1219, 68, 4266, 17, 204, 14, 204, 204, 461, 5345, 68, 549, 13, 2820, 31, 394, 289, 388, 4881, 431, 393, 443, 31, 204, 264, 320, 204, 264, 977, 275, 22264, 1964, 19, 204, 204, 264, 457, 31, 204, 268, 1995, 322, 325, 330, 334, 1995, 311, 732, 348, 22264, 7934, 19, 1243, 311, 388, 4881, 2948, 204, 264, 320, 204, 264, 314, 977, 275, 22264, 1964, 440, 275, 800, 1995, 204, 264, 10987, 19, 924, 13, 2820, 34, 2820, 14, 204, 204, 461, 951, 68, 809, 13, 920, 68, 8938, 31, 421, 17, 771, 68, 7064, 31, 421, 14, 393, 783, 64, 1218, 64, 996, 2440, 204, 264, 320, 204, 264, 2672, 273, 570, 974, 275, 14502, 7387, 478, 11136, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 8938, 322, 339, 330, 334, 542, 302, 7809, 311, 732, 348, 1737, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 348, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1218, 64, 996, 2440, 332, 458, 302, 1737, 1563, 348, 848, 7259, 19, 204, 264, 320, 204, 264, 314, 666, 273, 14502, 7387, 478, 11136, 440, 275, 1713, 542, 302, 7809, 204, 264, 11136, 289, 23190, 499, 8575, 7387, 478, 528, 771, 68, 8938, 14, 204, 615, 264, 810, 31, 204, 268, 314, 4055, 275, 11136, 204, 268, 11136, 19, 1530, 374, 204, 822, 268, 314, 2466, 275, 1737, 741, 440, 275, 1713, 1586, 204, 268, 1563, 289, 11136, 19, 1777, 13, 204, 305, 4057, 7387, 478, 68, 3109, 68, 1219, 68, 4266, 17, 716, 305, 954, 10703, 920, 68, 7064, 559, 771, 68, 7064, 17, 388, 7350, 559, 368, 74, 18, 24, 98, 204, 268, 1179, 204, 264, 6666, 31, 204, 268, 314, 9251, 275, 11136, 353, 12262, 1873, 204, 268, 11136, 19, 20425, 374, 204, 615, 264, 407, 1563, 204, 204, 461, 3893, 68, 2826, 13, 2826, 31, 783, 64, 1218, 64, 996, 4395, 771, 68, 8938, 31, 421, 17, 771, 68, 7064, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3866, 275, 1737, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1563, 322, 1218, 64, 1218, 64, 996, 3795, 334, 458, 302, 1737, 1563, 348, 848, 7259, 19, 204, 268, 771, 68, 8938, 322, 339, 330, 334, 542, 302, 7809, 1376, 348, 1737, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 334, 542, 302, 6175, 6020, 348, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 542, 302, 1563, 4083, 275, 542, 302, 7809, 204, 264, 2136, 1245, 13, 2826, 14, 564, 771, 68, 8938, 204, 615, 264, 314, 3866, 275, 1563, 348, 848, 7259, 204, 264, 348, 7259, 68, 1300, 292, 1563, 31, 204, 268, 314, 778, 397, 275, 542, 302, 6175, 4083, 275, 1812, 700, 204, 268, 2136, 1245, 13, 11678, 68, 1300, 14, 564, 771, 68, 7064, 204, 822, 268, 314, 778, 397, 275, 2210, 14279, 1048, 690, 204, 268, 2136, 7259, 68, 1300, 64, 920, 68, 7064, 338, 368, 66, 962, 7259, 68, 1300, 64, 21, 66, 204, 204, 461, 2281, 68, 1420, 68, 553, 13, 4336, 31, 818, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 19, 204, 204, 264, 457, 31, 204, 268, 6189, 322, 996, 330, 334, 1737, 690, 292, 3331, 19, 204, 268, 919, 68, 553, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 320, 204, 264, 314, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 204, 264, 440, 1451, 13, 1420, 68, 553, 17, 388, 92, 431, 448, 283, 31, 204, 268, 283, 19, 2206, 13, 1775, 19, 7362, 7075, 1219, 68, 834, 559, 6189, 17, 388, 5937, 559, 959, 24063, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 22264, 1995, 497, 275, 1964, 1554, 521, 732, 275, 1540, 700, 204, 264, 1995, 289, 1127, 19, 4969, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 505, 499, 37237, 68, 18291, 528, 388, 4881, 431, 204, 615, 264, 314, 977, 275, 22264, 1964, 204, 264, 5345, 68, 549, 13, 2820, 14, 204, 204, 264, 314, 968, 275, 542, 302, 7809, 329, 6175, 204, 264, 771, 68, 8938, 289, 1132, 204, 264, 771, 68, 7064, 289, 931, 204, 615, 264, 314, 9363, 275, 1012, 690, 204, 264, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 1563, 289, 951, 68, 809, 13, 920, 68, 8938, 17, 771, 68, 7064, 14, 204, 615, 264, 314, 3866, 275, 1563, 204, 264, 3893, 68, 2826, 13, 2826, 17, 771, 68, 8938, 17, 771, 68, 7064, 14, 204, 615, 264, 314, 888, 275, 1737, 690, 204, 264, 6189, 289, 690, 19, 834, 374, 338, 1012, 68, 834, 204, 615, 264, 314, 763, 275, 919, 510, 832, 497, 275, 1964, 1554, 204, 264, 919, 68, 553, 289, 1127, 19, 4969, 1166, 8004, 68, 11927, 68, 7261, 1339, 204, 615, 264, 314, 3400, 275, 1737, 690, 329, 1978, 1714, 311, 275, 919, 510, 204, 264, 2281, 68, 1420, 68, 553, 13, 4336, 17, 919, 68, 553, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 531, 9688, 532, 4028, 3150, 204, 204, 461, 838, 68, 16810, 68, 2100, 13, 3112, 68, 2100, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 12622, 1445, 440, 275, 1729, 4147, 448, 275, 2139, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 2139, 68, 2100, 322, 325, 330, 334, 832, 311, 275, 2139, 1445, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 2139, 1445, 1583, 508, 1337, 19, 204, 268, 4275, 3007, 78, 1056, 596, 31, 828, 275, 2139, 1445, 353, 508, 273, 1097, 1445, 19, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 275, 1445, 23731, 1352, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2139, 1445, 2560, 329, 353, 273, 1097, 1445, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 3112, 68, 2100, 330, 204, 268, 980, 3180, 13, 75, 7, 673, 2139, 1445, 3318, 3112, 68, 2100, 2867, 1583, 508, 1337, 1280, 204, 264, 397, 508, 1127, 19, 546, 19, 16249, 13, 3112, 68, 2100, 330, 204, 268, 980, 4275, 3007, 78, 1056, 596, 13, 75, 7, 673, 2139, 1445, 3318, 3112, 68, 2100, 2867, 353, 508, 273, 1097, 1445, 1280, 204, 204, 264, 314, 666, 275, 12622, 1445, 588, 204, 264, 12622, 68, 2100, 289, 283, 1954, 3112, 68, 2100, 3572, 71, 934, 7, 204, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 12622, 1445, 2861, 2560, 204, 268, 397, 1127, 19, 546, 19, 4332, 13, 16810, 68, 2100, 330, 204, 305, 980, 45734, 13, 75, 7, 673, 12622, 1445, 3318, 16810, 68, 2100, 2867, 2861, 2560, 1280, 204, 204, 268, 314, 10235, 275, 2139, 1445, 311, 275, 12622, 1445, 204, 268, 4028, 3150, 13, 3112, 68, 2100, 17, 12622, 68, 2100, 14, 204, 268, 456, 13, 75, 7, 44086, 1445, 3318, 16810, 68, 2100, 2867, 1966, 4073, 1280, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1445, 23731, 1352, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 9918, 275, 2139, 1445, 204, 264, 2139, 68, 2100, 289, 379, 76, 4635, 68, 12041, 12, 204, 264, 838, 68, 16810, 68, 2100, 13, 3112, 68, 2100, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 204, 647, 9456, 204, 531, 3747, 23, 19, 31697, 532, 622, 702, 44960, 17, 455, 6714, 79, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 2428, 68, 3309, 68, 32057, 68, 3823, 13, 204, 264, 1419, 68, 93, 31, 818, 17, 716, 264, 1419, 68, 94, 31, 818, 17, 716, 264, 1419, 68, 3907, 31, 818, 17, 716, 264, 3542, 68, 7182, 31, 818, 17, 716, 264, 9955, 68, 7182, 31, 818, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 29297, 275, 379, 3309, 68, 32057, 12, 3158, 329, 2584, 275, 610, 329, 469, 1728, 302, 275, 11974, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 93, 322, 996, 330, 334, 1419, 610, 18, 3936, 302, 275, 794, 22362, 19, 204, 268, 1419, 68, 94, 322, 996, 330, 334, 1419, 469, 18, 3936, 302, 275, 794, 22362, 19, 204, 268, 1419, 68, 3907, 322, 996, 330, 334, 1419, 11640, 302, 275, 794, 22362, 19, 204, 268, 3542, 68, 7182, 322, 996, 330, 334, 3542, 3581, 302, 275, 794, 22362, 19, 204, 268, 9955, 68, 7182, 322, 996, 330, 334, 9955, 3581, 302, 275, 794, 22362, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 610, 329, 469, 1728, 302, 275, 11974, 19, 204, 264, 320, 204, 264, 314, 5730, 348, 275, 379, 3309, 68, 32057, 12, 3158, 311, 444, 2755, 204, 264, 9456, 19, 5940, 68, 1538, 68, 3823, 611, 3309, 68, 32057, 534, 204, 615, 264, 810, 31, 204, 268, 314, 666, 273, 3158, 7852, 348, 275, 379, 3309, 68, 32057, 12, 3158, 204, 268, 407, 68, 32057, 289, 9456, 19, 5619, 16955, 611, 3309, 68, 32057, 491, 455, 6714, 79, 14, 204, 822, 268, 314, 4889, 275, 379, 3309, 68, 32057, 12, 3158, 440, 275, 800, 2072, 204, 268, 9564, 289, 407, 68, 32057, 13, 3474, 68, 93, 17, 1419, 68, 94, 17, 1419, 68, 3907, 17, 3542, 68, 7182, 17, 9955, 68, 7182, 14, 204, 822, 268, 314, 455, 275, 610, 329, 469, 1728, 302, 275, 11974, 204, 268, 407, 9564, 19, 93, 68, 32057, 17, 9564, 19, 94, 68, 32057, 204, 615, 264, 827, 9456, 19, 5619, 2940, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 397, 275, 3158, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 5619, 508, 1193, 31, 463, 74, 743, 204, 268, 407, 443, 17, 443, 204, 204, 204, 461, 1807, 68, 17777, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 93, 68, 2160, 31, 458, 17, 469, 68, 2160, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 11974, 302, 275, 794, 22362, 570, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 2160, 322, 655, 330, 332, 458, 302, 610, 18, 5099, 302, 275, 11974, 19, 204, 268, 469, 68, 2160, 322, 655, 330, 332, 458, 302, 469, 18, 5099, 302, 275, 11974, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 348, 275, 1807, 204, 264, 1513, 19, 7208, 374, 204, 615, 264, 314, 1359, 275, 1724, 329, 1769, 348, 275, 1807, 204, 264, 1513, 19, 1778, 499, 3739, 22362, 3746, 4964, 8559, 431, 204, 264, 1513, 19, 7246, 499, 61, 18, 39289, 322, 82, 12008, 204, 264, 1513, 19, 7127, 499, 62, 18, 39289, 322, 82, 12008, 204, 615, 264, 314, 3045, 275, 11974, 204, 264, 1513, 19, 1657, 13, 93, 68, 2160, 17, 469, 68, 2160, 17, 1848, 1022, 747, 528, 5405, 34, 21, 19, 3534, 14, 204, 615, 264, 314, 3740, 275, 2333, 204, 264, 1513, 19, 2700, 374, 204, 615, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1419, 2072, 348, 275, 794, 22362, 204, 264, 1419, 68, 93, 289, 500, 19, 21, 204, 264, 1419, 68, 94, 289, 500, 19, 21, 204, 264, 1419, 68, 3907, 289, 500, 19, 21, 204, 264, 3542, 68, 7182, 289, 368, 19, 21, 204, 264, 9955, 68, 7182, 289, 500, 19, 26, 204, 615, 264, 314, 4889, 275, 379, 3309, 68, 32057, 12, 3158, 329, 636, 275, 11974, 1728, 204, 264, 610, 68, 2160, 17, 469, 68, 2160, 289, 2428, 68, 3309, 68, 32057, 68, 3823, 13, 3474, 68, 93, 17, 1419, 68, 94, 17, 1419, 68, 3907, 17, 3542, 68, 7182, 17, 9955, 68, 7182, 14, 204, 615, 264, 314, 778, 397, 275, 11974, 1728, 529, 1097, 204, 264, 397, 610, 68, 2160, 353, 508, 443, 329, 469, 68, 2160, 353, 508, 443, 31, 204, 268, 314, 3045, 275, 11974, 204, 268, 1807, 68, 17777, 13, 93, 68, 2160, 17, 469, 68, 2160, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 2010, 19, 365, 448, 425, 204, 647, 5683, 204, 531, 13830, 532, 21796, 204, 204, 461, 4407, 68, 1300, 13, 4800, 68, 553, 31, 394, 330, 204, 264, 320, 204, 264, 27107, 311, 4407, 275, 722, 302, 273, 741, 19, 204, 204, 264, 457, 31, 204, 264, 4407, 68, 553, 322, 325, 330, 334, 510, 832, 311, 1640, 275, 13872, 722, 19, 204, 204, 264, 475, 31, 204, 264, 332, 11820, 496, 40630, 275, 722, 302, 275, 741, 19, 204, 264, 320, 204, 264, 436, 11820, 13, 4266, 330, 204, 268, 1642, 21162, 13, 4266, 14, 204, 268, 436, 9073, 4934, 1038, 17, 930, 2251, 330, 204, 305, 314, 778, 397, 275, 4407, 510, 2560, 204, 305, 397, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 330, 204, 485, 314, 1385, 275, 13872, 722, 204, 485, 407, 645, 19, 986, 13, 4800, 68, 553, 17, 2512, 68, 11350, 34, 1021, 14, 204, 305, 902, 31, 204, 485, 314, 3963, 275, 722, 329, 4407, 490, 204, 485, 722, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 485, 645, 19, 2360, 13, 4800, 68, 553, 17, 722, 14, 204, 485, 407, 722, 204, 268, 407, 9073, 204, 264, 407, 11820, 204, 204, 461, 1900, 68, 643, 13, 2345, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2069, 273, 12913, 1348, 1609, 523, 275, 537, 4601, 19, 204, 204, 264, 457, 31, 204, 264, 2571, 322, 339, 330, 334, 537, 4601, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 4489, 12913, 1348, 19, 204, 264, 320, 204, 264, 397, 2571, 564, 368, 31, 204, 268, 407, 645, 19, 643, 1568, 22, 17, 435, 17, 571, 694, 204, 264, 902, 31, 204, 268, 407, 645, 19, 643, 1568, 23, 17, 571, 17, 681, 694, 204, 204, 461, 1900, 68, 23219, 68, 643, 13, 2345, 31, 421, 14, 393, 425, 19, 23219, 68, 643, 31, 204, 264, 320, 204, 264, 2069, 273, 18384, 1348, 1609, 523, 275, 537, 4601, 19, 204, 204, 264, 457, 31, 204, 264, 2571, 322, 339, 330, 334, 537, 4601, 19, 204, 204, 264, 475, 31, 204, 264, 425, 19, 23219, 68, 643, 31, 334, 4489, 18384, 1348, 19, 204, 264, 320, 204, 264, 397, 2571, 564, 368, 31, 204, 268, 407, 425, 19, 23219, 68, 4597, 1568, 21, 17, 368, 17, 435, 648, 500, 14, 204, 264, 902, 31, 204, 268, 407, 425, 19, 23219, 68, 4597, 1568, 22, 17, 435, 17, 571, 648, 500, 14, 204, 204, 461, 683, 68, 19414, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 12913, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 461, 683, 68, 19414, 68, 23219, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 18384, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 23219, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 461, 683, 68, 19414, 68, 5770, 68, 643, 13, 29607, 330, 204, 264, 320, 204, 264, 1295, 29942, 302, 273, 741, 496, 2584, 273, 12913, 1348, 19, 204, 204, 264, 457, 31, 204, 264, 33571, 31, 334, 6610, 1445, 19, 204, 264, 320, 204, 264, 4407, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 29607, 17, 388, 804, 19, 12942, 431, 204, 264, 13872, 68, 4266, 289, 4407, 68, 1300, 13, 4800, 68, 553, 3085, 4776, 68, 643, 14, 204, 204, 264, 314, 1295, 29942, 6137, 204, 264, 722, 22, 289, 13872, 68, 4266, 13, 22, 14, 204, 264, 2136, 1127, 19, 546, 19, 4332, 13, 4800, 68, 553, 14, 204, 264, 722, 23, 289, 13872, 68, 4266, 13, 23, 14, 204, 264, 314, 334, 13872, 722, 1856, 444, 275, 1729, 448, 275, 1043, 722, 204, 264, 2136, 645, 19, 643, 68, 4597, 13, 1300, 22, 17, 722, 23, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 5683, 19, 660, 27323, 553, 27178, 204, 0, 647, 1875, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 1061, 204, 204, 647, 5683, 204, 647, 9564, 93, 204, 531, 4778, 93, 532, 4899, 204, 204, 531, 769, 4158, 94, 68, 6439, 19, 3107, 4878, 68, 6439, 532, 3431, 4158, 94, 9526, 204, 204, 461, 636, 68, 23481, 68, 2100, 374, 393, 2621, 31, 204, 264, 320, 204, 264, 475, 275, 1445, 1174, 275, 23443, 19, 204, 204, 264, 475, 31, 204, 268, 2621, 31, 334, 1445, 1174, 275, 23443, 19, 204, 264, 320, 204, 264, 407, 2621, 3843, 553, 21460, 3619, 802, 388, 23481, 7, 204, 204, 461, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 31, 394, 17, 588, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 5984, 273, 2084, 11598, 497, 275, 23443, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 11598, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 334, 3271, 2084, 11598, 19, 204, 264, 320, 204, 264, 11598, 68, 546, 289, 636, 68, 23481, 68, 2100, 374, 802, 32788, 68, 2256, 802, 588, 204, 264, 440, 1451, 13, 8999, 68, 546, 17, 388, 87, 431, 448, 510, 31, 204, 268, 407, 1875, 19, 986, 13, 553, 14, 204, 204, 461, 3219, 68, 494, 11930, 68, 6026, 88, 13, 46639, 68, 2256, 31, 394, 17, 2255, 68, 266, 419, 1008, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 9564, 93, 4306, 88, 348, 275, 683, 19, 204, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 2255, 68, 266, 419, 1008, 322, 2107, 330, 2266, 311, 2255, 292, 419, 1008, 292, 275, 683, 19, 204, 264, 320, 204, 264, 314, 7614, 275, 802, 1270, 19, 5153, 4584, 204, 264, 9564, 93, 19, 505, 6343, 1270, 19, 5153, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1068, 34, 282, 602, 204, 204, 264, 314, 7614, 275, 802, 16305, 19, 1775, 4584, 204, 264, 9564, 93, 19, 505, 6343, 16305, 19, 1775, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 7793, 602, 204, 204, 264, 314, 7614, 275, 802, 2005, 20, 91, 22, 20, 16305, 4584, 204, 264, 5627, 68, 8999, 289, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 17, 388, 2005, 68, 91, 22, 68, 16305, 431, 204, 264, 9564, 93, 19, 505, 6343, 2005, 20, 91, 22, 20, 16305, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1875, 34, 16305, 68, 8999, 602, 204, 204, 264, 314, 7614, 275, 802, 2005, 20, 91, 22, 20, 16305, 20, 266, 419, 1008, 4584, 397, 2255, 68, 266, 419, 1008, 353, 959, 204, 264, 397, 2255, 68, 266, 419, 1008, 31, 204, 268, 292, 419, 1008, 68, 8999, 289, 1137, 68, 1775, 68, 8999, 13, 46639, 68, 2256, 17, 388, 2005, 68, 91, 22, 68, 16305, 68, 266, 419, 1008, 431, 204, 268, 9564, 93, 19, 505, 6343, 2005, 20, 91, 22, 20, 16305, 20, 266, 419, 1008, 5561, 6026, 13, 3309, 68, 876, 34, 2628, 13, 2825, 17, 1875, 34, 266, 419, 1008, 68, 8999, 602, 204, 204, 37, 6598, 19, 2472, 19, 18136, 204, 37, 494, 11930, 19, 6026, 204, 37, 6598, 19, 2472, 19, 16402, 13, 204, 264, 388, 46639, 68, 2256, 17, 2255, 68, 266, 419, 1008, 17, 1812, 68, 1309, 528, 204, 264, 551, 204, 268, 4401, 25, 19, 23, 19, 4343, 528, 1078, 17, 2832, 23068, 559, 14478, 1641, 17, 388, 16305, 559, 720, 7946, 22, 17047, 204, 268, 4401, 26, 19, 21, 19, 7298, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 681, 6007, 30, 17047, 204, 268, 4401, 24, 19, 30, 19, 3701, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 1598, 9769, 17047, 204, 268, 4401, 24, 19, 2314, 19, 24, 528, 959, 17, 2832, 23068, 559, 443, 17, 388, 16305, 559, 720, 7378, 24, 17047, 204, 264, 7241, 204, 14, 204, 6419, 436, 683, 68, 3107, 4878, 68, 6439, 13, 204, 264, 32788, 68, 2256, 31, 394, 17, 2255, 68, 266, 419, 1008, 31, 1109, 17, 1812, 68, 1309, 31, 1061, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 3431, 4158, 94, 9526, 850, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 457, 31, 204, 268, 32788, 68, 2256, 322, 325, 330, 334, 32788, 2585, 19, 204, 268, 2255, 68, 266, 419, 1008, 322, 2107, 330, 2266, 311, 2255, 292, 419, 1008, 292, 275, 683, 19, 204, 268, 1812, 68, 1309, 322, 1665, 330, 334, 1812, 1019, 348, 275, 683, 19, 204, 264, 320, 204, 264, 314, 13553, 9564, 93, 4306, 88, 204, 264, 3219, 68, 494, 11930, 68, 6026, 88, 13, 46639, 68, 2256, 17, 2255, 68, 266, 419, 1008, 14, 204, 204, 264, 314, 666, 437, 1014, 302, 3431, 4158, 94, 9526, 204, 264, 6686, 289, 3431, 4158, 94, 9526, 499, 10779, 19, 21, 19, 21, 19, 22, 528, 2255, 68, 266, 419, 1008, 14, 204, 204, 264, 314, 763, 424, 497, 275, 3431, 4158, 94, 9526, 204, 264, 4177, 6686, 19, 505, 68, 481, 374, 204, 204, 264, 314, 4416, 275, 9757, 329, 5627, 1019, 204, 264, 2136, 4177, 6686, 19, 23068, 374, 564, 1812, 68, 1309, 1166, 23068, 1339, 204, 264, 2136, 4177, 6686, 19, 16305, 374, 564, 1812, 68, 1309, 1166, 16305, 1339, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 17, 537, 68, 932, 31, 1187, 14, 393, 726, 31, 204, 264, 320, 204, 264, 13485, 275, 575, 311, 2064, 537, 329, 407, 275, 537, 448, 275, 1713, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 268, 537, 68, 932, 322, 932, 330, 334, 1187, 311, 928, 275, 537, 1856, 444, 6004, 19, 204, 204, 264, 475, 31, 204, 268, 726, 31, 334, 575, 677, 537, 6004, 311, 275, 1713, 1187, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 636, 275, 575, 677, 537, 329, 1814, 490, 311, 275, 1713, 1187, 204, 305, 407, 537, 68, 932, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 828, 275, 537, 2950, 444, 6004, 311, 275, 1713, 1187, 17, 2037, 437, 908, 943, 204, 305, 456, 499, 13203, 677, 508, 273, 1097, 537, 19, 2982, 810, 2528, 1280, 204, 204, 461, 456, 68, 1190, 13, 1190, 31, 818, 17, 7548, 31, 421, 289, 500, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 800, 542, 440, 275, 1713, 7548, 19, 204, 204, 264, 457, 31, 204, 268, 542, 322, 996, 330, 334, 542, 311, 456, 19, 204, 268, 7548, 322, 339, 17, 1448, 330, 334, 542, 302, 4048, 6759, 311, 2037, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 542, 440, 275, 1713, 7548, 204, 264, 456, 13, 75, 12, 673, 542, 353, 31, 463, 1190, 4567, 96, 12258, 98, 75, 3501, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 537, 448, 437, 1534, 204, 264, 575, 68, 4649, 289, 636, 68, 816, 68, 768, 611, 2101, 437, 1534, 31, 7537, 421, 14, 204, 615, 264, 314, 763, 275, 575, 677, 537, 448, 273, 818, 204, 264, 575, 68, 996, 289, 636, 68, 816, 68, 768, 611, 2101, 273, 818, 31, 7537, 818, 14, 204, 615, 264, 314, 1198, 275, 575, 677, 1534, 537, 204, 264, 456, 68, 1190, 13, 816, 68, 4649, 14, 204, 615, 264, 314, 1198, 275, 575, 677, 818, 537, 440, 571, 4048, 6759, 204, 264, 456, 68, 1190, 13, 816, 68, 996, 17, 571, 14, 204, 204, 264, 314, 1198, 273, 21092, 818, 542, 440, 435, 4048, 6759, 204, 264, 21092, 68, 996, 289, 5487, 19, 1258, 4049, 7378, 204, 264, 456, 68, 1190, 13, 603, 10208, 68, 996, 17, 435, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 13084, 353, 275, 27877, 302, 23232, 3204, 6403, 302, 275, 15059, 1085, 302, 297, 36, 204, 204, 673, 23232, 3204, 302, 273, 32703, 741, 610, 13, 89, 14, 289, 2787, 13, 89, 14, 353, 800, 560, 31, 204, 3266, 61, 13, 88, 14, 289, 688, 339, 68, 21, 10584, 6785, 610, 13, 89, 14, 74, 5373, 274, 98, 5144, 289, 688, 339, 68, 21, 10584, 6785, 318, 5373, 274, 98, 5144, 3266, 204, 3266, 61, 13, 88, 14, 289, 10723, 1209, 96, 22, 1134, 88, 98, 74, 5373, 274, 2277, 14813, 6499, 97, 1859, 21, 12528, 6785, 98, 289, 688, 1209, 96, 22, 1134, 88, 98, 289, 688, 1209, 96, 22, 1134, 3453, 8456, 465, 781, 92, 43256, 204, 3609, 9137, 7145, 329, 5081, 440, 11645, 3453, 8456, 338, 781, 92, 3920, 2543, 572, 636, 31, 226, 204, 3266, 61, 13, 88, 14, 289, 688, 1209, 43791, 8456, 338, 781, 92, 9844, 3453, 8456, 67, 23, 41494, 11065, 67, 23, 43256, 204, 204, 673, 5312, 1698, 18142, 348, 13257, 492, 96, 1252, 2277, 96, 88, 41491, 35, 21, 36857, 754, 275, 722, 11645, 22, 20, 88, 3266, 1583, 508, 1895, 1169, 7211, 348, 904, 1019, 302, 11645, 88, 34213, 334, 2318, 1085, 302, 11645, 88, 3266, 292, 275, 3018, 11645, 74, 5373, 274, 7836, 6204, 275, 5312, 3629, 275, 3600, 27478, 348, 275, 5312, 311, 25717, 19, 716, 204, 673, 3618, 302, 13220, 322, 43289, 14, 8788, 1698, 523, 275, 2318, 1085, 302, 11645, 88, 3266, 2404, 490, 17469, 3855, 275, 5312, 18142, 521, 38971, 19, 828, 13257, 8456, 289, 500, 3266, 329, 11645, 92, 688, 19484, 500, 36857, 11645, 61, 13, 88, 16702, 2560, 17, 1101, 808, 353, 508, 6826, 311, 275, 27877, 19, 334, 27877, 353, 9002, 560, 275, 1019, 302, 11645, 88, 3266, 348, 928, 275, 5312, 18142, 17, 329, 808, 8788, 1698, 523, 13257, 8456, 34213, 204, 204, 837, 27599, 17, 275, 23232, 3204, 618, 444, 17514, 448, 275, 15233, 3204, 302, 273, 3683, 11983, 560, 11645, 4041, 23261, 8456, 265, 3920, 2176, 6263, 17, 13257, 8456, 3266, 1856, 444, 7540, 1702, 496, 275, 9432, 302, 275, 2171, 3683, 11983, 560, 11645, 4041, 23261, 8456, 265, 16702, 13729, 273, 11339, 700, 19, 828, 13257, 8456, 3266, 353, 2917, 17, 275, 44499, 353, 437, 7921, 18, 21113, 3683, 17, 6043, 311, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 24111, 19, 0, 3883, 7799, 1984, 15489, 3571, 13749, 20064, 25461, 14972, 408, 19212, 1189, 13035, 8824, 19487, 11509, 4821, 408, 9681, 4384, 1189, 1984, 8131, 18, 1258, 18, 1003, 408, 16155, 4901, 2642, 4771, 7849, 30, 1377, 408, 42513, 1638, 2183, 2704, 21226, 25535, 2704, 18354, 2676, 3362, 408, 29898, 1189, 4015, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 4002, 5757, 29039, 27094, 21607, 1189, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 226, 1505, 2868, 2371, 27341, 15244, 9681, 4015, 13749, 20064, 5038, 4084, 2739, 10250, 2677, 14768, 1565, 42458, 2653, 4002, 1227, 4015, 13749, 20064, 5038, 4084, 2739, 21804, 4068, 18850, 1490, 15378, 2677, 46878, 15184, 22119, 2653, 29181, 6326, 13256, 1603, 10268, 408, 10971, 1189, 16155, 3429, 2791, 408, 9141, 15489, 6949, 6899, 9308, 1524, 5290, 568, 204, 1505, 2868, 2371, 27341, 15244, 9681, 4015, 13749, 20064, 5038, 4084, 2739, 10250, 2677, 14768, 1565, 42458, 2653, 4002, 1227, 4015, 13749, 20064, 5038, 4084, 2739, 21804, 4068, 18850, 1490, 15378, 2677, 46878, 15184, 22119, 2653, 29181, 6326, 13256, 1603, 12522, 31506, 1811, 22467, 2338, 16233, 2114, 11567, 41531, 942, 13415, 8483, 408, 3178, 2174, 33556, 3140, 568, 204, 4136, 34518, 24406, 6443, 37045, 5840, 4906, 17179, 13749, 20064, 29840, 10400, 12548, 6633, 8610, 921, 26783, 2338, 1565, 1684, 381, 252, 27133, 9942, 35794, 6969, 11020, 29840, 43224, 381, 252, 2544, 15244, 21141, 2014, 3491, 4139, 1684, 408, 1189, 1191, 26783, 8846, 7652, 2110, 47206, 1111, 1951, 8437, 568, 204, 13749, 20064, 19582, 5972, 2677, 6326, 1377, 5972, 2653, 204, 12858, 38187, 1951, 4409, 1984, 2774, 5757, 18196, 13749, 20064, 34342, 725, 7447, 2654, 2338, 22926, 725, 42563, 22926, 725, 22146, 7047, 20064, 460, 7447, 2654, 2338, 22926, 725, 8167, 2338, 16658, 16814, 6713, 26997, 725, 9013, 408, 854, 6233, 23600, 44410, 45735, 13749, 20064, 4574, 2093, 2615, 48149, 408, 6233, 2056, 14617, 6660, 13749, 20064, 36744, 38963, 11736, 48149, 408, 6233, 15043, 38771, 3140, 408, 4136, 13749, 20064, 5110, 10528, 22926, 17363, 408, 10709, 6653, 19598, 16691, 24, 1565, 6260, 9467, 13262, 16856, 5038, 2426, 3283, 2894, 568, 2774, 14890, 6443, 22, 19, 6007, 12700, 6142, 1822, 9760, 21574, 6713, 16691, 13749, 20064, 40395, 16102, 1635, 100, 3560, 7833, 2338, 4664, 5182, 568, 204, 4136, 13262, 16856, 1984, 2774, 33519, 33594, 29561, 13749, 20064, 8215, 32293, 3140, 408, 1254, 13749, 20064, 2338, 22926, 26997, 2065, 9013, 17922, 3984, 8215, 408, 854, 11476, 1951, 6713, 5038, 9398, 17619, 4127, 7335, 725, 3140, 11764, 6650, 30158, 568, 2014, 2537, 39526, 12548, 6633, 8610, 11962, 1390, 4045, 13262, 16856, 16362, 3632, 2825, 4228, 7077, 3820, 568, 204, 1191, 4409, 7821, 1984, 854, 11476, 45735, 20064, 21574, 6713, 5038, 1699, 259, 831, 460, 4146, 11082, 4587, 725, 3560, 9143, 2065, 9013, 725, 1579, 8706, 3784, 2065, 24265, 3456, 43450, 12883, 24985, 3140, 408, 6436, 9025, 1111, 3854, 24046, 13749, 20064, 6232, 4587, 4231, 725, 9789, 42563, 6232, 4587, 4231, 1227, 36267, 4438, 13592, 11859, 8846, 4587, 27372, 29084, 44299, 20369, 4231, 2405, 5335, 4515, 30719, 12185, 3784, 8182, 408, 9813, 31192, 45333, 11148, 408, 33519, 45735, 20064, 21574, 28870, 7047, 6841, 39788, 24265, 11082, 6841, 408, 7059, 4136, 1572, 4121, 8846, 19865, 45735, 20064, 21574, 6713, 11082, 17363, 408, 10194, 3013, 4136, 45735, 20064, 21574, 6713, 12261, 12927, 568, 204, 2564, 4172, 17772, 1984, 2774, 2732, 9250, 48461, 13262, 16856, 22926, 2338, 13262, 16856, 21574, 6713, 48149, 408, 854, 9250, 11764, 19865, 3079, 25790, 13262, 16856, 22926, 10709, 48149, 11104, 408, 7059, 9250, 11764, 19865, 13262, 16856, 21574, 11613, 4661, 48149, 568, 204, 43535, 11264, 13749, 20064, 19582, 5972, 1377, 5972, 3240, 7972, 226, 13749, 20064, 19582, 5972, 831, 12900, 460, 14781, 6949, 408, 4945, 14041, 7533, 8376, 13749, 20064, 25461, 460, 21226, 23933, 18239, 408, 14139, 11808, 21226, 25535, 2704, 4134, 15510, 5972, 40864, 25670, 6949, 1955, 3013, 5290, 4134, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 204, 8, 968, 273, 927, 302, 5981, 440, 1182, 11100, 1987, 204, 34065, 68, 10337, 289, 322, 204, 264, 2448, 3637, 4175, 2613, 491, 379, 43, 13494, 2008, 204, 264, 2448, 5917, 6274, 56, 10274, 1801, 491, 379, 56, 6568, 31637, 2008, 204, 264, 2448, 9359, 10274, 1801, 491, 379, 13074, 31637, 534, 204, 14, 204, 204, 676, 13331, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 4943, 570, 496, 19596, 275, 5082, 18, 266, 2221, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 3610, 575, 19, 204, 268, 588, 322, 325, 330, 334, 4943, 677, 588, 19, 204, 268, 1692, 322, 325, 330, 334, 4943, 677, 1692, 19, 204, 264, 320, 204, 264, 575, 289, 1094, 19, 20748, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 3749, 34, 1021, 14, 204, 264, 1692, 289, 1094, 19, 15478, 13, 1129, 68, 1205, 34, 2051, 17, 3749, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 417, 204, 204, 676, 5310, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 1351, 570, 496, 4504, 273, 1351, 292, 275, 1640, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1351, 1724, 19, 204, 268, 2297, 322, 996, 330, 334, 1351, 2297, 19, 204, 268, 6778, 322, 996, 330, 334, 1351, 6778, 19, 204, 268, 2851, 322, 325, 330, 334, 1351, 2851, 19, 204, 268, 2342, 322, 325, 330, 334, 1351, 2342, 19, 204, 268, 752, 322, 325, 330, 334, 1351, 752, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 19, 204, 264, 320, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 2297, 289, 1094, 19, 18315, 374, 204, 264, 6778, 289, 1094, 19, 18315, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 2851, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5426, 34, 34065, 68, 10337, 14, 204, 264, 2342, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 752, 289, 1094, 19, 12043, 13, 2305, 833, 935, 20, 2305, 19, 4955, 534, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 1642, 3830, 204, 264, 436, 752, 68, 805, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1274, 302, 275, 1351, 752, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 752, 2560, 204, 268, 397, 370, 19, 935, 31, 204, 305, 407, 370, 19, 935, 19, 805, 204, 268, 407, 3026, 204, 204, 264, 1642, 3830, 204, 264, 436, 1800, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 1800, 1609, 523, 275, 1351, 2851, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 955, 311, 2304, 5981, 311, 1769, 204, 268, 2851, 68, 2185, 289, 463, 204, 305, 379, 3637, 4175, 2613, 597, 379, 5937, 491, 204, 305, 379, 5917, 6274, 56, 10274, 1801, 597, 379, 1270, 491, 204, 305, 379, 9359, 10274, 1801, 597, 379, 9041, 12, 204, 268, 1211, 204, 268, 407, 2851, 68, 2185, 19, 505, 13, 327, 19, 3924, 17, 8930, 204, 204, 676, 5868, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 1346, 1552, 570, 496, 4504, 273, 4943, 677, 1552, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 4151, 322, 2107, 330, 2266, 275, 1552, 353, 4151, 19, 204, 268, 4391, 68, 359, 322, 325, 330, 334, 4391, 1222, 19, 204, 268, 1489, 68, 5903, 322, 2664, 330, 334, 1489, 275, 1552, 867, 1966, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4151, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 4391, 68, 359, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 17, 3749, 34, 1021, 14, 204, 264, 1489, 68, 5903, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 394, 13, 327, 19, 359, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 1113, 68, 9279, 68, 3803, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 1113, 2264, 302, 275, 6099, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 458, 6459, 311, 949, 275, 1113, 2264, 204, 268, 407, 1066, 13, 1271, 19, 1996, 68, 3803, 348, 1184, 292, 370, 19, 9279, 1271, 68, 574, 19, 668, 1447, 204, 204, 264, 1642, 3830, 204, 264, 436, 1113, 68, 9279, 68, 1996, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1113, 542, 302, 2696, 292, 275, 6099, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 458, 6459, 311, 949, 275, 1113, 542, 302, 2696, 204, 268, 407, 1066, 13, 1271, 19, 7871, 348, 1184, 292, 370, 19, 9279, 1271, 68, 574, 19, 668, 1447, 204, 204, 676, 12613, 4307, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 6099, 1184, 570, 496, 4504, 273, 1351, 292, 275, 6099, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 1552, 322, 8477, 330, 334, 3610, 1552, 19, 204, 268, 4474, 322, 339, 330, 334, 4474, 302, 275, 1351, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 311, 275, 6099, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1552, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4474, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 2572, 19, 1778, 204, 204, 264, 1642, 3830, 204, 264, 436, 2696, 68, 3803, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 2264, 302, 275, 2696, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1351, 869, 273, 6778, 204, 268, 397, 370, 19, 2572, 19, 13641, 31, 204, 305, 407, 370, 19, 7871, 540, 370, 19, 2572, 19, 13641, 204, 268, 407, 370, 19, 7871, 540, 370, 19, 2572, 19, 2895, 204, 204, 676, 48749, 1218, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 13181, 458, 570, 496, 4504, 273, 4943, 677, 13181, 458, 19, 204, 204, 264, 1532, 31, 204, 268, 1351, 322, 6902, 330, 334, 3610, 1351, 19, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 1351, 867, 4327, 311, 275, 13181, 458, 19, 204, 264, 320, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 5206, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 268, 407, 370, 19, 2572, 19, 1778, 204, 204, 676, 48349, 10979, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 17487, 1995, 570, 496, 4504, 273, 4943, 677, 17487, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 4943, 322, 17813, 330, 334, 3610, 4943, 19, 204, 268, 1552, 322, 8477, 330, 334, 3610, 1552, 19, 204, 268, 1995, 322, 325, 330, 334, 17487, 1995, 19, 204, 268, 3226, 322, 325, 330, 334, 3226, 19, 204, 268, 1259, 322, 325, 330, 334, 1259, 19, 204, 268, 36459, 322, 325, 330, 334, 4337, 1576, 19, 204, 268, 1489, 68, 15612, 322, 2664, 330, 334, 1489, 275, 17487, 1995, 867, 4327, 19, 204, 264, 320, 204, 264, 4943, 289, 1094, 19, 4483, 13, 17813, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1552, 289, 1094, 19, 4483, 13, 8477, 17, 523, 68, 2756, 34, 1618, 19, 8458, 68, 16162, 17, 3749, 34, 1021, 14, 204, 264, 1995, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 3226, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 1259, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 36459, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 3749, 34, 1021, 14, 204, 264, 1489, 68, 15612, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 407, 370, 19, 8315, 19, 417, 204, 0, 2310, 9295, 636, 1376, 311, 275, 2501, 5337, 529, 329, 754, 490, 353, 440, 275, 14743, 19, 334, 717, 6309, 302, 275, 40013, 13995, 353, 448, 4768, 348, 19923, 5319, 448, 275, 12272, 3275, 2147, 13394, 329, 275, 19731, 5525, 19, 4253, 7301, 448, 10547, 448, 1916, 2181, 8518, 3060, 4542, 1880, 1466, 974, 490, 19, 204, 673, 14743, 869, 2220, 23007, 4461, 490, 10178, 22177, 10080, 2518, 19, 592, 4539, 490, 353, 16261, 8280, 16863, 329, 7249, 311, 732, 19, 1547, 353, 24926, 19, 10455, 14052, 329, 10103, 353, 10394, 19, 1547, 353, 437, 8924, 10103, 6280, 496, 6202, 12262, 88, 1873, 19, 1547, 1102, 72, 3254, 690, 329, 27952, 754, 496, 1163, 5288, 353, 39950, 4610, 19, 1547, 618, 444, 1376, 10976, 21514, 447, 17, 2202, 754, 1194, 302, 469, 573, 17, 1101, 397, 3612, 13181, 311, 23170, 281, 1017, 6572, 1250, 618, 3848, 770, 754, 560, 1361, 523, 630, 6759, 1702, 448, 25628, 48584, 301, 19, 5028, 1874, 618, 5288, 1910, 440, 275, 16987, 302, 19468, 17, 27604, 17, 1692, 329, 8471, 19, 204, 7990, 3060, 23007, 302, 275, 14743, 496, 5814, 490, 273, 2220, 1964, 348, 16282, 1070, 1702, 26776, 448, 21625, 299, 17, 21625, 89, 467, 2643, 17, 10575, 26107, 17, 30476, 15505, 17, 2786, 32602, 17, 819, 555, 6712, 17, 21957, 6712, 17, 406, 8975, 521, 45382, 17, 529, 6488, 2075, 5814, 490, 273, 2220, 1964, 348, 43360, 34904, 329, 19822, 351, 11500, 17, 38036, 299, 1475, 329, 37500, 46543, 275, 1563, 19, 204, 673, 14743, 508, 1698, 6876, 24926, 10103, 490, 11138, 9682, 4151, 3326, 302, 1666, 19, 3433, 618, 2219, 758, 719, 2150, 9206, 19482, 496, 6743, 311, 444, 6759, 348, 1451, 9206, 1101, 496, 529, 292, 3718, 38907, 560, 5035, 496, 4897, 4153, 2013, 2160, 529, 22637, 19, 204, 2310, 874, 3303, 47700, 496, 2075, 17334, 18028, 355, 2925, 525, 618, 1425, 1340, 31010, 490, 19, 3242, 273, 2153, 1324, 3299, 17, 21487, 1286, 34786, 1193, 808, 311, 444, 275, 1322, 523, 273, 25920, 77, 656, 677, 17561, 14743, 24572, 496, 22637, 3850, 348, 25696, 685, 496, 275, 30541, 1478, 23128, 2545, 14511, 560, 1163, 5131, 13782, 18028, 13091, 15921, 714, 19, 4275, 311, 444, 377, 30579, 336, 275, 6695, 34786, 1376, 275, 1729, 7572, 302, 1214, 3346, 4064, 2479, 311, 4481, 275, 943, 685, 1422, 9271, 1704, 4978, 2317, 1048, 928, 566, 1425, 869, 4151, 3326, 19, 334, 5889, 867, 496, 275, 1351, 502, 11162, 1478, 5134, 5382, 10748, 867, 9759, 22637, 19, 5120, 4576, 808, 1324, 566, 11278, 273, 9023, 523, 275, 3397, 311, 4275, 1693, 8013, 884, 88, 36201, 386, 1154, 292, 275, 6781, 19, 1785, 1466, 754, 45539, 496, 572, 26055, 3850, 311, 5190, 275, 1729, 9023, 311, 32988, 885, 6531, 2459, 630, 4275, 1693, 8013, 313, 617, 4639, 17, 928, 9453, 1873, 3060, 2590, 448, 2459, 284, 27231, 336, 275, 44568, 447, 794, 48862, 1864, 302, 855, 825, 868, 1047, 5009, 618, 1151, 1182, 1465, 34786, 884, 88, 4884, 4263, 292, 14031, 4777, 386, 5388, 18, 45049, 823, 299, 9271, 14743, 34036, 3237, 31, 4778, 1963, 23152, 1286, 7405, 2262, 19, 395, 20, 204, 51, 842, 23540, 38878, 634, 356, 17, 275, 27820, 302, 595, 7574, 21125, 17, 10946, 808, 1688, 302, 7936, 11311, 4569, 2181, 2518, 34786, 867, 9596, 329, 49063, 275, 5094, 1335, 754, 1910, 5261, 43842, 490, 322, 6950, 23097, 634, 356, 18663, 17, 284, 41634, 330, 204, 11069, 5013, 9859, 1194, 10080, 17, 2745, 2976, 2643, 7336, 798, 275, 2347, 302, 2545, 8950, 19, 334, 3073, 17, 275, 27864, 17, 329, 275, 7103, 311, 2620, 2652, 529, 2075, 1120, 1895, 275, 5094, 754, 1792, 497, 275, 3113, 19, 334, 1483, 2234, 7602, 4386, 1741, 444, 13627, 373, 1357, 5319, 17, 1101, 490, 353, 437, 1683, 15215, 1465, 29303, 19, 1547, 1120, 1337, 10701, 1880, 884, 88, 306, 362, 4418, 3705, 19, 3242, 2804, 9029, 273, 4610, 1483, 3966, 17, 329, 1250, 12146, 496, 1698, 10299, 1519, 19950, 34658, 5013, 884, 204, 13203, 29303, 353, 3303, 3237, 19, 204, 5013, 1047, 1449, 444, 10891, 292, 334, 8302, 1247, 4639, 5565, 15623, 204, 6950, 23097, 634, 356, 17, 392, 19, 322, 31587, 14, 25511, 20608, 19, 11128, 14825, 19, 552, 478, 1597, 329, 1200, 4445, 271, 19, 0, 531, 6214, 19, 3424, 68, 2225, 532, 36969, 204, 647, 35838, 204, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 531, 5567, 19, 5554, 19, 6815, 19, 3802, 532, 9552, 204, 531, 5567, 19, 5554, 19, 6815, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 532, 1812, 68, 9821, 448, 7999, 204, 531, 5567, 19, 4608, 19, 5678, 532, 15383, 204, 647, 1361, 204, 204, 676, 11578, 18963, 31, 204, 264, 320, 204, 264, 332, 850, 348, 6886, 3966, 15939, 19, 204, 204, 264, 1532, 31, 204, 268, 3175, 322, 1386, 330, 334, 14025, 7471, 1014, 19, 204, 268, 2082, 322, 4387, 330, 334, 2082, 1014, 348, 1361, 3780, 19, 204, 268, 47189, 322, 339, 330, 334, 5119, 700, 292, 3331, 19, 204, 264, 320, 204, 204, 264, 47189, 289, 1199, 226, 314, 968, 273, 3324, 348, 275, 5119, 700, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3175, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 11578, 18963, 850, 19, 204, 204, 268, 457, 31, 204, 305, 3175, 322, 1386, 330, 334, 14025, 7471, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 2127, 289, 3175, 204, 268, 370, 19, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 264, 1642, 31535, 19, 2290, 611, 5995, 397, 275, 2924, 798, 3806, 529, 9455, 329, 26272, 534, 204, 264, 436, 1356, 68, 3424, 68, 654, 68, 4599, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 1692, 329, 1482, 537, 2357, 529, 9455, 329, 26272, 19, 204, 268, 320, 204, 268, 314, 778, 1692, 537, 1242, 204, 268, 370, 806, 2555, 68, 768, 68, 1993, 13, 10937, 6188, 19, 768, 68, 2302, 68, 1229, 17, 388, 2302, 431, 204, 822, 268, 314, 778, 1482, 537, 1242, 204, 268, 370, 806, 2555, 68, 768, 68, 1993, 13, 10937, 6188, 19, 768, 68, 1989, 68, 1229, 17, 388, 1989, 431, 204, 204, 264, 436, 906, 2555, 68, 768, 68, 1993, 13, 327, 17, 12580, 31, 394, 17, 1242, 68, 417, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 437, 537, 1242, 353, 9455, 329, 26272, 19, 204, 204, 268, 457, 31, 204, 305, 12580, 322, 325, 330, 334, 17134, 11550, 348, 275, 537, 1242, 19, 204, 305, 1242, 68, 417, 322, 325, 330, 334, 588, 302, 275, 537, 1242, 322, 74, 19, 76, 2458, 388, 2302, 7, 521, 388, 1989, 5561, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 5730, 348, 275, 537, 1242, 311, 444, 9455, 329, 26272, 204, 305, 9552, 13, 327, 19, 2127, 17, 370, 19, 15831, 789, 2776, 13, 204, 485, 7999, 19, 1849, 68, 633, 68, 2115, 68, 23147, 1802, 3609, 19, 14507, 68, 16355, 17, 12580, 602, 204, 305, 1179, 204, 268, 827, 15383, 31, 204, 305, 314, 2175, 437, 908, 397, 275, 537, 1242, 353, 508, 9455, 521, 508, 26272, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 5476, 348, 537, 463, 1993, 68, 417, 98, 353, 508, 9455, 521, 508, 26272, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4390, 275, 1945, 12947, 204, 264, 497, 5567, 532, 4942, 204, 264, 497, 5567, 19, 5554, 19, 10082, 19, 3823, 532, 8544, 204, 264, 497, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 204, 264, 314, 1359, 719, 275, 2082, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 264, 314, 666, 273, 717, 1014, 302, 275, 7099, 3175, 204, 264, 3175, 289, 4942, 19, 7140, 13, 3823, 34, 5619, 13, 7140, 32067, 1528, 9310, 5887, 204, 204, 264, 314, 666, 273, 717, 1014, 302, 275, 11578, 18963, 850, 204, 264, 3966, 68, 24525, 289, 11578, 18963, 13, 2127, 14, 204, 204, 264, 314, 11454, 311, 275, 2924, 1472, 204, 264, 3175, 19, 505, 499, 3189, 1963, 2569, 19, 1453, 20, 3424, 431, 204, 204, 264, 314, 778, 275, 2924, 798, 3806, 204, 264, 3966, 68, 24525, 19, 2555, 68, 3424, 68, 654, 68, 4599, 374, 204, 204, 264, 314, 5706, 275, 5214, 2158, 204, 264, 3175, 19, 8289, 374, 204, 0, 647, 2010, 448, 645, 204, 204, 461, 838, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 17, 1019, 31, 458, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 435, 41, 12913, 1348, 322, 1663, 14, 440, 275, 800, 3015, 17, 2630, 17, 329, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 268, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 268, 1019, 322, 655, 330, 332, 458, 302, 1019, 311, 16836, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 542, 302, 1019, 1583, 508, 2216, 275, 1525, 5150, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 542, 302, 1019, 4083, 275, 1525, 5150, 204, 264, 397, 1245, 13, 1309, 14, 2167, 3015, 540, 10426, 31, 204, 268, 980, 987, 499, 4290, 302, 1019, 1583, 508, 2216, 1525, 5150, 431, 204, 204, 264, 314, 666, 275, 1525, 974, 2010, 677, 1348, 329, 28261, 3263, 204, 264, 407, 645, 19, 643, 13, 1309, 789, 6358, 13, 3173, 17, 10426, 14, 204, 204, 461, 838, 68, 3828, 13, 1309, 31, 458, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 368, 41, 12913, 1348, 322, 3828, 14, 440, 275, 800, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 1019, 322, 655, 330, 332, 458, 302, 1019, 311, 16836, 275, 2450, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 264, 320, 204, 264, 407, 645, 19, 643, 13, 1309, 14, 204, 204, 461, 2811, 68, 1663, 68, 3828, 68, 6211, 13, 1663, 31, 645, 19, 766, 17, 2450, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 9715, 273, 1525, 18, 3828, 2661, 974, 275, 1642, 4708, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 1123, 19, 766, 330, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 268, 2450, 322, 1123, 19, 766, 330, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 722, 302, 275, 1525, 18, 3828, 2661, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1525, 329, 2450, 5150, 529, 41672, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1525, 329, 2450, 5150, 529, 19686, 204, 264, 397, 1525, 19, 1827, 64, 22, 66, 2167, 2450, 19, 1827, 64, 21, 744, 204, 268, 980, 987, 499, 11767, 329, 2450, 5150, 529, 41672, 431, 204, 204, 264, 314, 3055, 275, 1525, 18, 3828, 2661, 974, 275, 1642, 4708, 204, 264, 407, 1525, 1642, 2450, 204, 204, 461, 2811, 68, 3828, 68, 1663, 68, 6211, 13, 3828, 31, 645, 19, 766, 17, 1525, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 9715, 273, 2450, 18, 1663, 2661, 974, 275, 1642, 4708, 19, 204, 204, 264, 457, 31, 204, 268, 2450, 322, 1123, 19, 766, 330, 332, 368, 41, 12913, 1348, 2457, 275, 2450, 19, 204, 268, 1525, 322, 1123, 19, 766, 330, 332, 435, 41, 12913, 1348, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 722, 302, 275, 2450, 18, 1663, 2661, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 2450, 329, 1525, 5150, 529, 41672, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 2450, 329, 1525, 5150, 529, 19686, 204, 264, 397, 2450, 19, 1827, 64, 21, 66, 2167, 1525, 19, 1827, 64, 21, 744, 204, 268, 980, 987, 499, 8144, 329, 1525, 5150, 529, 41672, 431, 204, 204, 264, 314, 3055, 275, 2450, 18, 1663, 2661, 974, 275, 1642, 4708, 204, 264, 407, 2450, 1642, 1525, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 7703, 329, 5302, 204, 264, 1525, 22, 289, 838, 68, 1663, 13, 24, 17, 435, 17, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 694, 204, 264, 1525, 23, 289, 838, 68, 1663, 13, 23, 17, 571, 17, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 694, 204, 264, 2450, 289, 838, 68, 3828, 1568, 1003, 17, 1607, 694, 204, 204, 264, 314, 3055, 1525, 18, 3828, 2661, 204, 264, 810, 31, 204, 268, 722, 22, 289, 2811, 68, 1663, 68, 3828, 68, 6211, 13, 1663, 22, 17, 2450, 14, 204, 268, 456, 13, 75, 7, 11767, 18, 8144, 18283, 9541, 31, 463, 1300, 22, 1522, 14924, 31, 463, 1300, 22, 19, 1827, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 3055, 2450, 18, 1663, 2661, 204, 264, 810, 31, 204, 268, 722, 23, 289, 2811, 68, 3828, 68, 1663, 68, 6211, 13, 3828, 17, 1525, 23, 14, 204, 268, 456, 13, 75, 7, 8144, 18, 11767, 18283, 9541, 31, 463, 1300, 23, 1522, 14924, 31, 463, 1300, 23, 19, 1827, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 11354, 401, 94, 4877, 329, 32705, 529, 10597, 16136, 1924, 3171, 302, 275, 5269, 5439, 292, 1910, 1792, 25653, 19, 9469, 24075, 18697, 560, 4260, 521, 1855, 302, 1605, 21847, 11155, 2964, 34298, 32, 1855, 21847, 529, 8578, 8649, 578, 311, 7497, 292, 3671, 29960, 311, 9712, 19, 592, 4303, 17, 1855, 21847, 874, 3557, 15249, 17441, 329, 874, 273, 21185, 5800, 523, 1017, 24686, 19, 204, 39199, 3395, 40236, 269, 32975, 1320, 204, 14884, 1605, 2637, 17, 6247, 18, 5705, 2172, 25948, 529, 8649, 578, 311, 12787, 25653, 329, 14003, 17, 2864, 13087, 4549, 17, 32705, 10180, 273, 4542, 43513, 793, 292, 1017, 25653, 19, 36291, 353, 4751, 275, 1901, 3287, 15249, 13305, 19, 14233, 7440, 8628, 10180, 4549, 440, 45327, 1424, 1048, 20947, 521, 308, 391, 290, 15482, 19, 19179, 4921, 17, 24980, 12257, 292, 273, 800, 1864, 1784, 16941, 19, 10910, 311, 275, 4639, 302, 21487, 369, 13940, 15044, 12594, 552, 26743, 17395, 2548, 17, 24980, 12257, 529, 5104, 4201, 508, 1698, 311, 275, 4474, 302, 4921, 17, 1101, 311, 275, 5926, 19, 204, 2567, 94, 2178, 40236, 269, 32975, 1320, 204, 18365, 32705, 17, 401, 94, 4877, 529, 8578, 8649, 578, 311, 1910, 1792, 25653, 19, 3242, 28443, 17, 5862, 17, 1250, 7188, 508, 448, 8317, 608, 523, 4921, 448, 1017, 5406, 35812, 19, 10303, 1250, 7188, 8649, 578, 17, 1250, 3667, 10180, 12931, 18, 3664, 25653, 496, 874, 1855, 14985, 2706, 329, 37212, 521, 8180, 19, 33940, 329, 860, 35254, 4549, 529, 1425, 21501, 311, 1910, 401, 94, 4877, 17, 329, 1605, 12168, 18, 25163, 618, 1224, 15607, 2964, 3667, 377, 30579, 336, 560, 3651, 401, 17543, 6279, 19, 204, 14884, 401, 94, 4877, 529, 6432, 275, 2481, 302, 5658, 17, 1182, 17976, 28443, 5187, 8578, 6727, 43566, 329, 14498, 45679, 5187, 496, 874, 1742, 1718, 37904, 756, 560, 9712, 17, 1250, 2709, 15131, 43221, 467, 17440, 17, 329, 819, 42057, 299, 13909, 273, 3403, 1085, 292, 1017, 8114, 19, 346, 4339, 288, 17, 18537, 17, 2637, 14654, 698, 17, 1009, 43069, 329, 32705, 529, 830, 523, 275, 4607, 17, 329, 1250, 6356, 27770, 3074, 1873, 5658, 22630, 397, 275, 10931, 17792, 5398, 19, 24825, 5225, 17, 8578, 36447, 17, 1741, 444, 42010, 311, 1910, 401, 94, 4877, 17, 9504, 283, 5382, 12133, 529, 15131, 311, 30765, 292, 1429, 4549, 17, 5575, 311, 275, 4639, 302, 25845, 20775, 19, 204, 39199, 7440, 874, 1910, 8160, 2614, 1017, 15785, 17, 14918, 448, 273, 22630, 6555, 348, 34482, 467, 17440, 7343, 19, 592, 275, 1818, 24075, 17, 5862, 17, 32705, 874, 7656, 8160, 440, 9712, 19, 4171, 2637, 21847, 618, 3253, 21185, 7034, 311, 16891, 30582, 23939, 6415, 329, 23477, 24518, 17, 9504, 1718, 270, 25275, 11155, 2964, 3600, 521, 2219, 273, 15532, 19, 1765, 1763, 17, 808, 353, 275, 3633, 13861, 1283, 401, 94, 4877, 329, 32705, 19, 204, 18, 30862, 2936, 20, 39598, 865, 19, 1453, 20, 5136, 605, 24349, 0, 4377, 273, 1950, 18, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2399, 289, 27400, 68, 5719, 19, 505, 68, 3143, 499, 5937, 19, 10751, 73, 431, 204, 268, 407, 2399, 19, 6392, 13, 11163, 34, 1087, 17, 2042, 34, 1038, 14, 204, 204, 264, 436, 906, 2102, 68, 3143, 13, 327, 17, 2399, 31, 394, 17, 18185, 31, 726, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1198, 275, 5703, 2399, 17, 30733, 9499, 2238, 19, 204, 204, 268, 457, 31, 204, 305, 2399, 31, 334, 5703, 2399, 448, 273, 782, 19, 204, 305, 18185, 31, 2221, 4510, 726, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1673, 1007, 311, 443, 204, 268, 1673, 68, 1054, 289, 443, 204, 822, 268, 314, 1861, 1048, 848, 1007, 292, 275, 2399, 204, 268, 348, 1007, 292, 2399, 19, 1590, 3273, 83, 6471, 204, 305, 314, 778, 397, 275, 1007, 353, 1792, 497, 275, 1673, 1007, 204, 305, 397, 1007, 2167, 1673, 68, 1054, 31, 204, 485, 314, 1198, 275, 1007, 974, 275, 9166, 726, 204, 485, 18185, 19, 2102, 68, 6696, 13, 1054, 14, 204, 305, 314, 1716, 275, 1673, 1007, 204, 305, 1673, 68, 1054, 289, 1007, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 13511, 12118, 1014, 204, 264, 3243, 68, 2170, 289, 13511, 12118, 374, 204, 615, 264, 314, 666, 4306, 1906, 329, 9166, 2828, 348, 6893, 5356, 204, 264, 850, 7614, 28139, 31, 204, 268, 436, 589, 924, 889, 327, 17, 1586, 330, 204, 305, 370, 19, 7491, 289, 1586, 204, 204, 264, 850, 7614, 7096, 31, 204, 268, 436, 456, 68, 6696, 13, 327, 17, 1007, 330, 204, 305, 456, 13, 1054, 14, 204, 204, 264, 314, 666, 273, 4306, 1948, 4651, 726, 204, 264, 850, 7614, 7545, 6574, 31, 204, 268, 1879, 204, 204, 264, 314, 4889, 275, 13511, 12118, 1014, 440, 4306, 1906, 329, 9166, 2828, 204, 264, 3243, 68, 2170, 13, 9975, 28139, 499, 2569, 68, 1087, 19, 1775, 3186, 7614, 7096, 2144, 7614, 7545, 6574, 1447, 204, 0, 658, 7802, 4616, 275, 23833, 4187, 4160, 533, 13288, 204, 204, 673, 800, 1581, 353, 31, 204, 51, 289, 322, 51, 21, 3085, 74, 7218, 21, 19, 27, 7723, 89, 20, 89, 35348, 602, 204, 204, 1449, 3542, 504, 808, 1581, 17, 572, 1519, 311, 3204, 490, 1025, 275, 798, 469, 289, 14566, 465, 308, 19, 204, 204, 1380, 1687, 368, 31, 968, 2558, 329, 3454, 204, 3661, 677, 7072, 31, 204, 18, 11895, 322, 3605, 14, 289, 265, 35348, 322, 9441, 18, 8597, 14, 204, 18, 469, 289, 392, 20, 51, 21, 322, 13651, 4474, 14, 204, 204, 1380, 1687, 435, 31, 32357, 275, 1581, 204, 51, 289, 392, 21, 540, 318, 7218, 21, 19, 27, 7723, 89, 20, 11606, 14, 204, 204, 1380, 1687, 571, 31, 10423, 275, 4193, 14821, 322, 6685, 14, 302, 1855, 2902, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 540, 318, 7218, 21, 19, 27, 7723, 89, 20, 11606, 602, 204, 204, 1380, 1687, 681, 31, 3291, 21895, 3564, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 14, 465, 10363, 13, 74, 7218, 21, 19, 27, 7723, 89, 20, 11606, 602, 204, 204, 1380, 1687, 720, 31, 8730, 974, 275, 4355, 10363, 13, 74, 67, 70, 14, 289, 273, 204, 6685, 13, 51, 14, 289, 10363, 13, 51, 21, 14, 338, 500, 19, 27, 7723, 89, 20, 11606, 204, 204, 1380, 1687, 887, 31, 33801, 275, 1581, 311, 275, 798, 469, 289, 14566, 465, 308, 204, 3661, 469, 289, 10363, 13, 51, 659, 309, 289, 338, 21, 19, 27, 7723, 20, 11606, 17, 610, 289, 265, 17, 329, 308, 289, 10363, 13, 51, 21, 14, 204, 94, 289, 14566, 465, 308, 204, 6685, 13, 51, 14, 289, 3457, 21, 19, 27, 7723, 20, 11606, 14, 89, 465, 10363, 13, 51, 21, 14, 204, 204, 4063, 275, 1581, 353, 292, 275, 6736, 3542, 798, 17, 469, 289, 14566, 465, 308, 17, 1273, 31, 204, 18, 469, 289, 10363, 13, 51, 14, 204, 18, 309, 289, 338, 21, 19, 27, 7723, 20, 11606, 322, 14776, 14, 204, 18, 610, 289, 265, 322, 834, 14, 204, 18, 308, 289, 10363, 13, 51, 21, 14, 322, 94, 18, 9097, 14, 0, 658, 1687, 368, 31, 10721, 311, 3239, 15966, 204, 673, 1844, 17792, 4109, 7345, 3232, 311, 542, 5194, 17, 2864, 2510, 17, 4048, 17, 329, 12575, 19, 1547, 22161, 1662, 886, 529, 6717, 292, 1792, 12442, 329, 1662, 311, 1814, 1283, 1475, 19, 204, 204, 658, 1687, 435, 31, 12775, 8870, 29376, 204, 837, 2510, 17, 848, 3717, 322, 276, 4577, 14, 618, 444, 4260, 500, 521, 368, 19, 334, 1502, 302, 848, 4577, 4504, 273, 2347, 302, 435, 17, 4145, 497, 435, 67, 21, 348, 275, 32875, 4577, 19, 204, 204, 658, 1687, 571, 31, 22402, 18473, 3301, 88, 204, 1449, 1814, 273, 4048, 542, 311, 2510, 17, 572, 618, 732, 275, 4854, 6576, 1216, 521, 275, 11043, 1216, 19, 334, 4854, 6576, 1216, 5628, 8631, 275, 4048, 542, 560, 435, 329, 13492, 3234, 302, 275, 25230, 17, 1335, 275, 11043, 1216, 5628, 11745, 9350, 302, 435, 497, 275, 4048, 542, 19, 204, 204, 658, 1687, 681, 31, 387, 8537, 11143, 29376, 204, 673, 1844, 22161, 2327, 3942, 311, 1173, 12344, 1892, 292, 2510, 31, 12344, 6922, 17, 1051, 677, 10393, 17, 329, 970, 677, 10393, 19, 7616, 1216, 869, 1163, 17428, 329, 35086, 19, 204, 204, 658, 1687, 720, 31, 387, 8537, 47214, 29376, 204, 837, 12344, 6922, 2355, 17, 275, 1901, 4883, 4577, 4504, 275, 1574, 302, 275, 542, 17, 329, 275, 4017, 8113, 1173, 275, 6922, 19, 1058, 1216, 353, 7249, 311, 3126, 1101, 6481, 18353, 15875, 19, 204, 204, 658, 1687, 887, 31, 5028, 677, 39668, 29376, 204, 837, 1051, 677, 10393, 2355, 17, 2917, 886, 529, 6717, 560, 33092, 275, 8113, 302, 275, 3310, 2140, 542, 19, 1058, 1216, 353, 19486, 311, 3288, 1194, 12344, 6922, 1101, 3848, 869, 970, 1792, 16685, 348, 2962, 19, 204, 204, 658, 1687, 1168, 31, 7609, 677, 39668, 29376, 204, 837, 970, 677, 10393, 2355, 17, 2917, 886, 529, 6717, 560, 5209, 368, 311, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 1051, 677, 10393, 302, 275, 3310, 2140, 542, 19, 1058, 1216, 47085, 275, 1844, 302, 970, 1792, 16685, 348, 2962, 19, 204, 204, 658, 1687, 1132, 31, 19898, 15853, 204, 673, 1844, 22161, 1662, 311, 2811, 7339, 2758, 17, 1702, 448, 4998, 329, 11043, 17, 974, 970, 677, 10393, 2355, 19, 1547, 1425, 14450, 1662, 311, 4522, 20502, 329, 1683, 2788, 19, 204, 204, 658, 1687, 1233, 31, 5166, 3570, 677, 13985, 204, 673, 1844, 28869, 5166, 3570, 677, 3372, 17, 928, 353, 273, 1216, 348, 9137, 970, 886, 974, 4577, 25162, 19, 1058, 3372, 353, 12096, 329, 1182, 10205, 1194, 31725, 25855, 18, 416, 18, 10047, 2986, 19, 204, 204, 658, 1687, 931, 31, 18123, 204, 673, 1844, 3629, 273, 15964, 18126, 302, 542, 5194, 17, 2510, 2355, 17, 329, 12344, 1534, 2355, 19, 1547, 1425, 22161, 7339, 2758, 329, 28869, 5166, 3570, 677, 3372, 348, 6177, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 36864, 1617, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 204, 315, 204, 7352, 1054, 1545, 311, 415, 416, 38, 14896, 1981, 19, 204, 204, 1834, 3467, 3629, 273, 3277, 1354, 1054, 4510, 311, 8808, 440, 273, 415, 416, 38, 14896, 1981, 19, 204, 3837, 6876, 3612, 311, 2566, 5453, 311, 275, 1981, 329, 7137, 9347, 19, 204, 315, 204, 204, 647, 3056, 204, 647, 3238, 204, 647, 2454, 204, 204, 676, 28754, 13, 2940, 330, 204, 264, 320, 9005, 2710, 348, 1727, 18, 5969, 2744, 1279, 204, 264, 1879, 204, 204, 461, 353, 68, 1867, 68, 2196, 13, 2196, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 3855, 275, 1981, 1120, 9820, 275, 1354, 448, 273, 1435, 1354, 19, 204, 204, 264, 457, 31, 204, 268, 1354, 322, 325, 330, 334, 1354, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1354, 353, 273, 1435, 1354, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1354, 3192, 1169, 2872, 2724, 521, 275, 13487, 12, 1943, 204, 264, 348, 1125, 292, 1354, 31, 204, 268, 397, 1125, 292, 43940, 44452, 204, 305, 407, 1078, 204, 268, 397, 1125, 564, 13487, 597, 204, 305, 407, 959, 204, 264, 407, 1078, 204, 204, 676, 415, 416, 2899, 915, 31, 204, 264, 320, 204, 264, 332, 1545, 348, 17322, 440, 273, 415, 416, 38, 14896, 1981, 19, 204, 204, 264, 1532, 31, 204, 268, 9571, 322, 325, 330, 334, 9571, 302, 275, 415, 416, 38, 2871, 19, 204, 268, 2054, 322, 339, 330, 334, 2054, 542, 302, 275, 14896, 1981, 19, 204, 268, 3056, 322, 2794, 19, 2794, 330, 334, 3056, 1727, 311, 275, 1981, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 9571, 31, 394, 17, 2054, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 1545, 440, 275, 800, 9571, 329, 2054, 19, 204, 204, 268, 457, 31, 204, 305, 9571, 322, 325, 330, 334, 9571, 302, 275, 415, 416, 38, 2871, 19, 204, 305, 2054, 322, 339, 330, 334, 2054, 542, 302, 275, 14896, 1981, 19, 204, 268, 320, 204, 268, 370, 19, 12797, 289, 9571, 204, 268, 370, 19, 898, 289, 2054, 204, 268, 370, 19, 2794, 289, 3056, 19, 2794, 13, 2794, 19, 10059, 68, 15961, 17, 3056, 19, 15071, 68, 17651, 14, 204, 268, 370, 19, 2794, 19, 2933, 1802, 12797, 17, 2054, 602, 204, 268, 370, 19, 2794, 19, 42755, 13, 2794, 19, 26052, 68, 27645, 17, 3056, 19, 27645, 68, 5830, 21877, 17, 368, 14, 204, 268, 370, 19, 1054, 68, 15554, 289, 370, 19, 505, 68, 2604, 374, 204, 204, 264, 436, 636, 68, 2604, 13, 327, 330, 204, 268, 320, 204, 268, 9112, 2238, 497, 275, 3056, 19, 204, 204, 268, 9112, 31, 204, 305, 394, 31, 334, 1682, 1007, 497, 275, 3056, 19, 204, 268, 320, 204, 268, 5668, 289, 3026, 204, 268, 1335, 959, 31, 204, 305, 314, 3736, 275, 5668, 1025, 2238, 329, 4353, 830, 1101, 275, 1673, 1051, 204, 305, 2238, 289, 5668, 19, 1590, 3273, 83, 431, 204, 305, 348, 1007, 292, 2238, 9128, 22, 744, 204, 485, 4353, 1007, 204, 305, 5668, 289, 2238, 3327, 22, 66, 204, 305, 314, 12154, 717, 424, 497, 275, 3056, 204, 305, 810, 31, 204, 485, 5445, 68, 481, 289, 370, 19, 2794, 19, 12383, 13, 33253, 789, 5286, 374, 204, 305, 827, 12121, 22134, 596, 31, 204, 485, 980, 28754, 499, 5064, 7264, 560, 275, 1981, 431, 204, 305, 397, 508, 5445, 68, 481, 31, 204, 485, 980, 28754, 499, 28409, 83, 2964, 636, 958, 292, 690, 431, 204, 305, 5668, 1412, 5445, 68, 481, 204, 204, 264, 436, 7137, 68, 668, 13, 327, 14, 393, 458, 64, 325, 744, 204, 268, 320, 204, 268, 39171, 830, 2238, 497, 275, 3056, 3119, 273, 1007, 4145, 440, 19849, 353, 5445, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 325, 744, 334, 5445, 2238, 19, 204, 268, 320, 204, 268, 9347, 289, 551, 2715, 13, 327, 19, 1054, 68, 15554, 2395, 204, 268, 397, 508, 9347, 64, 21, 744, 204, 305, 980, 28754, 499, 5064, 7106, 431, 204, 268, 397, 9347, 64, 21, 1664, 7209, 499, 6, 6471, 204, 305, 1335, 508, 9347, 3327, 22, 1664, 7209, 499, 3343, 330, 204, 485, 9347, 19, 1223, 13, 2715, 13, 327, 19, 1054, 68, 15554, 602, 204, 268, 407, 9347, 204, 204, 264, 436, 3176, 68, 416, 68, 3345, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 24213, 275, 575, 348, 537, 329, 15125, 490, 311, 275, 1981, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 575, 677, 537, 19, 204, 268, 320, 204, 268, 314, 13485, 275, 575, 348, 537, 329, 2566, 490, 311, 275, 1981, 204, 268, 943, 289, 537, 21431, 2810, 204, 268, 370, 19, 2794, 19, 27594, 1802, 1454, 465, 7805, 83, 5561, 4170, 1447, 204, 268, 407, 943, 204, 204, 264, 436, 1523, 13, 327, 330, 204, 268, 320, 204, 268, 8209, 275, 1545, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1335, 959, 31, 204, 485, 943, 289, 370, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 4202, 68, 416, 68, 3345, 374, 204, 485, 397, 353, 68, 1867, 68, 2196, 13, 1454, 330, 204, 895, 314, 828, 275, 943, 353, 273, 1435, 1354, 17, 3524, 41094, 3119, 437, 1392, 943, 353, 6027, 204, 895, 1335, 943, 31, 204, 2058, 943, 289, 370, 19, 4202, 68, 416, 68, 3345, 374, 204, 485, 348, 958, 292, 370, 19, 18330, 68, 668, 1293, 204, 895, 456, 41572, 14761, 2478, 13, 1935, 602, 204, 268, 827, 322, 42, 12051, 596, 17, 16797, 330, 204, 305, 314, 1426, 38456, 16, 41, 329, 38456, 16, 40, 204, 305, 1879, 204, 268, 827, 28754, 448, 318, 31, 204, 305, 456, 499, 5064, 908, 31, 14761, 2478, 13, 74, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 499, 596, 31, 14761, 2478, 13, 74, 602, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3056, 1727, 204, 305, 370, 19, 2794, 19, 20425, 13, 2794, 19, 4175, 3057, 68, 20420, 14, 204, 305, 370, 19, 2794, 19, 3529, 374, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 1022, 7352, 1054, 1545, 311, 415, 416, 38, 14896, 1981, 431, 204, 264, 1732, 19, 826, 68, 2389, 499, 12797, 528, 1540, 1022, 7714, 528, 16771, 1022, 15330, 1340, 1022, 15647, 417, 302, 415, 416, 38, 2871, 322, 2305, 3221, 2463, 12008, 204, 264, 1732, 19, 826, 68, 2389, 499, 898, 528, 1187, 34, 339, 17, 1540, 34, 35930, 17, 16771, 1022, 15330, 1340, 1022, 13840, 542, 302, 14896, 1981, 322, 2305, 1132, 29210, 12008, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 264, 1545, 289, 415, 416, 2899, 915, 13, 1038, 19, 12797, 17, 2042, 19, 898, 14, 204, 264, 1545, 19, 1777, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 16329, 1397, 1213, 353, 275, 1901, 3287, 9365, 808, 6129, 348, 273, 15836, 14214, 19, 592, 3718, 17, 440, 754, 3171, 2652, 19276, 3332, 451, 830, 275, 690, 17, 3793, 869, 6680, 496, 292, 1552, 311, 636, 1880, 311, 8649, 311, 2652, 43623, 17, 490, 1741, 1340, 311, 7253, 523, 2075, 29261, 275, 1729, 19, 204, 8990, 299, 437, 1397, 371, 3100, 31182, 1025, 1214, 3100, 329, 4383, 6684, 618, 5190, 1214, 7365, 437, 12312, 1048, 1163, 40649, 1924, 2969, 329, 23489, 19, 1547, 1425, 6609, 437, 1397, 371, 3100, 8908, 496, 5814, 3100, 717, 6173, 3171, 1182, 16863, 311, 1214, 8740, 19, 5486, 884, 88, 636, 1025, 490, 19, 204, 3728, 353, 1397, 371, 3100, 36, 204, 18444, 371, 3100, 353, 437, 3979, 311, 1737, 329, 4383, 496, 19236, 523, 23489, 17, 20992, 17, 329, 2969, 19, 204, 3837, 884, 88, 273, 4382, 3979, 311, 732, 292, 1910, 1792, 13026, 17, 497, 12750, 3793, 311, 904, 7177, 302, 36478, 3440, 1702, 448, 25583, 9442, 19, 9656, 2530, 42, 884, 88, 4376, 27346, 591, 353, 8608, 302, 2969, 2404, 302, 273, 1182, 24347, 7572, 3478, 19, 204, 4931, 275, 9656, 2530, 42, 3979, 17, 872, 1784, 3440, 1214, 3200, 884, 88, 6500, 830, 630, 5602, 329, 1698, 636, 275, 1136, 18, 4162, 8033, 348, 2907, 1330, 10350, 353, 10689, 19, 828, 872, 1519, 311, 2652, 10080, 292, 1214, 3200, 496, 4935, 1025, 275, 4383, 6771, 17, 490, 1120, 3074, 11864, 6397, 311, 2216, 10350, 1818, 719, 2528, 19, 204, 837, 42917, 437, 1397, 371, 3979, 17, 872, 1784, 4581, 275, 3200, 4383, 292, 14113, 302, 5343, 329, 2907, 19, 3665, 6061, 15646, 10285, 1877, 848, 3697, 4383, 3155, 5976, 302, 830, 630, 5602, 630, 275, 1136, 19, 4168, 6310, 311, 3100, 17, 1397, 371, 4948, 286, 1440, 2969, 1048, 10080, 902, 19, 204, 18444, 371, 3100, 869, 1910, 1792, 7177, 17, 497, 2002, 6294, 311, 3384, 20992, 17, 1101, 490, 884, 88, 1901, 7562, 1882, 275, 4383, 6771, 302, 1737, 8217, 1273, 275, 1519, 311, 7023, 353, 3667, 5092, 1194, 292, 904, 3003, 302, 8217, 19, 1547, 884, 88, 1425, 4382, 1330, 6310, 311, 3100, 2614, 1214, 7365, 17, 448, 490, 6876, 348, 23489, 329, 2969, 1335, 26753, 1182, 20992, 329, 8749, 4751, 1214, 8740, 19, 204, 3728, 529, 275, 8753, 302, 1397, 371, 3100, 36, 204, 673, 3018, 1397, 371, 7336, 497, 275, 8130, 4383, 7561, 17, 1101, 353, 3303, 2545, 1376, 292, 1910, 1792, 4549, 329, 19623, 19, 5028, 302, 275, 1901, 1376, 2048, 302, 1397, 371, 3100, 353, 275, 38133, 19, 1058, 353, 1273, 273, 4383, 1352, 353, 4581, 1025, 5406, 21551, 322, 88, 2102, 88, 14, 311, 838, 273, 27726, 17, 928, 353, 1675, 13320, 560, 1136, 18, 4162, 348, 10285, 19, 204, 17996, 523, 275, 10285, 17, 3731, 1120, 444, 2927, 311, 275, 27726, 2518, 3161, 4672, 302, 2907, 19, 334, 1729, 13456, 311, 3100, 17, 1273, 275, 3200, 353, 4581, 1025, 28397, 18, 25163, 8305, 329, 273, 2384, 19692, 10285, 1877, 38061, 848, 2254, 19, 7616, 4672, 9329, 273, 38133, 19, 204, 673, 8753, 302, 808, 3979, 292, 3100, 329, 4383, 529, 31, 204, 3882, 1182, 11979, 3332, 3119, 275, 1136, 302, 273, 3200, 869, 10689, 2518, 872, 7137, 1214, 10285, 19, 3665, 884, 953, 5508, 3020, 437, 2931, 292, 4703, 23746, 329, 47343, 302, 3100, 560, 26753, 14276, 3100, 37055, 3450, 440, 15621, 690, 292, 18, 13744, 19, 204, 13936, 15646, 10285, 204, 3661, 884, 88, 4627, 872, 884, 358, 2842, 7784, 437, 32687, 3200, 348, 1214, 9700, 17, 329, 872, 884, 272, 15024, 1017, 10285, 523, 490, 3303, 496, 490, 884, 88, 273, 10689, 1351, 19, 592, 830, 4367, 404, 3962, 17, 1784, 872, 1895, 275, 7214, 311, 2652, 275, 3200, 1609, 523, 1017, 10285, 16635, 490, 1784, 444, 5362, 311, 770, 17, 2264, 1182, 5132, 329, 7915, 1214, 21376, 685, 2219, 1182, 36, 204, 673, 1729, 9211, 348, 1214, 9700, 6432, 1214, 3200, 397, 1250, 1466, 311, 7137, 10285, 630, 275, 1136, 19, 2026, 5508, 770, 872, 4030, 490, 884, 953, 444, 496, 1250, 3288, 1214, 10285, 523, 6500, 1250, 884, 358, 3870, 3054, 521, 8735, 8518, 17, 4744, 523, 292, 275, 3200, 36, 828, 872, 884, 272, 4636, 440, 437, 1397, 371, 3100, 3979, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 10285, 1784, 11616, 1877, 521, 2219, 1882, 848, 2413, 17, 1330, 275, 9932, 11712, 1483, 353, 3848, 11370, 292, 1880, 884, 88, 23580, 19, 204, 38799, 517, 9208, 302, 3100, 204, 3837, 1741, 5233, 872, 440, 303, 976, 16635, 496, 872, 874, 311, 4930, 1924, 273, 2344, 18, 5515, 3200, 19, 8800, 9700, 6612, 884, 89, 874, 275, 6005, 9659, 521, 45160, 311, 8106, 7253, 348, 10549, 3658, 7400, 17, 329, 12956, 1784, 872, 19, 828, 872, 2280, 275, 3100, 719, 1025, 14276, 6808, 521, 732, 7203, 6859, 17, 872, 618, 2931, 23746, 560, 2753, 2847, 329, 16209, 6121, 29573, 19, 204, 837, 1062, 3710, 8749, 329, 30445, 20992, 204, 43, 1667, 319, 8749, 353, 896, 311, 275, 2969, 2479, 302, 1397, 371, 3100, 19, 12338, 3100, 353, 4581, 1025, 14276, 6808, 440, 10285, 630, 275, 1136, 17, 1422, 884, 88, 437, 6863, 1519, 348, 8749, 329, 20992, 19, 7054, 17, 292, 3638, 17, 11337, 311, 14645, 30340, 45732, 17, 2202, 9578, 17, 329, 4037, 47821, 288, 19, 204, 2920, 311, 838, 437, 1397, 371, 3100, 8908, 204, 5009, 618, 3020, 1662, 24177, 1397, 371, 3100, 1025, 1214, 7365, 618, 304, 784, 8753, 2590, 10701, 275, 3100, 329, 4383, 6684, 19, 1131, 275, 15363, 17, 872, 884, 272, 17140, 1873, 275, 5343, 6808, 348, 437, 1397, 371, 6160, 19, 828, 872, 3480, 311, 838, 437, 1397, 371, 3100, 8908, 292, 1214, 7365, 17, 1422, 529, 273, 4542, 896, 3214, 311, 1696, 311, 1895, 275, 2765, 732, 302, 275, 31182, 19, 204, 5964, 273, 11676, 204, 1834, 353, 273, 896, 1043, 1660, 311, 508, 444, 42103, 19, 19179, 273, 4199, 11676, 17, 1169, 2002, 1120, 292, 2447, 8280, 8508, 26112, 630, 1429, 7341, 17, 440, 521, 2900, 437, 1397, 371, 31182, 19, 204, 35250, 685, 2075, 1214, 7365, 11237, 311, 7940, 292, 3099, 302, 3100, 329, 4383, 630, 275, 1012, 302, 275, 2002, 353, 273, 4382, 2501, 311, 4897, 11243, 353, 523, 275, 1729, 1472, 2518, 872, 3288, 273, 717, 6684, 329, 5821, 490, 685, 311, 8740, 19, 204, 28702, 1214, 31287, 204, 21912, 5252, 311, 444, 8033, 2614, 1214, 7365, 311, 874, 1017, 4627, 329, 444, 12527, 292, 275, 3546, 1882, 275, 1352, 302, 4141, 437, 1397, 371, 3100, 8908, 36, 204, 15406, 1873, 830, 275, 1880, 329, 4119, 2614, 1214, 6160, 496, 872, 4030, 2549, 11200, 497, 2545, 8033, 292, 275, 2002, 19, 4055, 440, 896, 31287, 1702, 448, 552, 11, 55, 521, 275, 480, 11, 41, 3384, 329, 1225, 1214, 2501, 1873, 311, 10038, 31287, 1702, 448, 8269, 21051, 329, 8348, 4764, 19, 204, 5274, 1760, 13149, 3100, 204, 46834, 311, 13149, 3100, 5814, 437, 7365, 1182, 1397, 371, 19, 1547, 618, 2280, 1873, 8749, 25397, 329, 1782, 12407, 2614, 1214, 7365, 329, 2931, 20992, 4751, 1214, 8740, 19, 1547, 884, 88, 1425, 273, 4382, 17, 2264, 18, 17953, 2501, 311, 2931, 3100, 4751, 1214, 9700, 17, 928, 618, 3014, 311, 11959, 13405, 273, 4362, 6859, 7365, 16289, 204, 46901, 7092, 630, 273, 3100, 7365, 529, 21071, 329, 8905, 311, 20185, 4309, 717, 6173, 9295, 928, 7894, 8774, 311, 9291, 24369, 17, 6826, 17, 329, 31579, 273, 8908, 302, 7346, 3100, 19, 204, 5136, 3384, 5131, 311, 4309, 4430, 204, 3719, 1214, 15209, 353, 311, 9393, 1182, 13149, 311, 13149, 3100, 17, 872, 1519, 311, 874, 2817, 2755, 2614, 1214, 10293, 521, 6657, 1225, 1964, 348, 1880, 311, 770, 754, 19, 666, 5685, 496, 14973, 4361, 3100, 1273, 9700, 618, 4930, 4430, 329, 1273, 1250, 884, 272, 21071, 311, 874, 1017, 20123, 521, 13106, 18, 8263, 19, 204, 29459, 1693, 6183, 1025, 275, 3440, 329, 5328, 302, 904, 4361, 4549, 2614, 1214, 5343, 17, 1702, 448, 1214, 7365, 884, 88, 48584, 2972, 1257, 17, 618, 2931, 1182, 20992, 1283, 1214, 8740, 329, 1741, 1340, 311, 2280, 1873, 1782, 12407, 448, 2590, 19, 204, 22232, 270, 18114, 302, 3100, 6813, 7870, 273, 1225, 2124, 521, 3747, 7894, 31579, 275, 6733, 496, 3100, 11080, 830, 275, 690, 329, 496, 490, 884, 88, 437, 5312, 1085, 302, 1214, 7365, 19, 3665, 618, 732, 273, 11031, 480, 5200, 1702, 448, 5389, 13263, 3919, 311, 838, 28397, 18, 25163, 3200, 3821, 496, 884, 88, 16863, 311, 1214, 8740, 22006, 1250, 3480, 19, 204, 17724, 292, 3100, 653, 5792, 204, 5842, 302, 275, 896, 12759, 302, 275, 1397, 371, 31182, 292, 3100, 329, 4383, 353, 496, 490, 9995, 302, 3697, 38133, 88, 17, 8367, 560, 15621, 19, 17789, 653, 5792, 292, 3100, 529, 11897, 292, 275, 1978, 302, 275, 1216, 448, 1250, 2512, 348, 3171, 18, 20556, 10285, 16108, 329, 25435, 19, 1058, 5814, 275, 4835, 1352, 302, 3100, 3171, 1182, 6184, 17, 448, 872, 884, 272, 508, 11979, 3119, 275, 1136, 302, 273, 3200, 311, 4930, 273, 683, 521, 7137, 10285, 19, 204, 11345, 6309, 2755, 204, 38, 11031, 480, 5200, 7051, 691, 1224, 292, 437, 1397, 371, 1225, 1964, 329, 448, 1085, 302, 437, 480, 11, 41, 6684, 19, 1058, 353, 2404, 302, 1163, 2652, 3423, 329, 21200, 18, 75, 45863, 3979, 19, 204, 32405, 11067, 397, 1214, 3384, 7051, 5252, 311, 444, 292, 275, 1729, 4308, 348, 3658, 523, 1136, 311, 22459, 717, 6173, 17, 521, 397, 1250, 618, 4309, 275, 1729, 1690, 292, 14276, 3220, 6808, 329, 1182, 15924, 7110, 3100, 14003, 19, 21956, 3100, 353, 1085, 302, 496, 7110, 1964, 4440, 329, 6571, 440, 7203, 6859, 17, 1214, 9700, 618, 3074, 292, 28397, 18, 25163, 8113, 302, 1483, 22006, 1250, 3480, 17, 34622, 1250, 3480, 19, 204, 60, 321, 2172, 490, 719, 204, 3719, 872, 3480, 1214, 7365, 311, 9291, 6826, 329, 24369, 292, 1214, 7561, 17, 872, 1519, 311, 4582, 292, 1214, 9700, 884, 3100, 329, 4383, 19, 204, 18444, 371, 3100, 353, 273, 4382, 3979, 496, 6876, 348, 1182, 23489, 17, 2969, 17, 329, 20992, 1194, 9293, 36478, 3440, 1702, 448, 9656, 2530, 42, 19, 1547, 1583, 808, 1924, 3697, 4383, 38133, 88, 8367, 560, 10285, 329, 23472, 19, 204, 5058, 872, 3480, 311, 3288, 1397, 371, 3100, 292, 1214, 7365, 329, 636, 1214, 8740, 311, 4309, 717, 6173, 292, 273, 9819, 329, 28397, 18, 25163, 2501, 36, 6608, 5389, 13263, 3919, 685, 5319, 348, 4476, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7791, 1169, 1302, 3384, 204, 3837, 677, 9509, 1194, 7921, 311, 3234, 329, 4204, 1214, 3384, 677, 1737, 440, 275, 5389, 13263, 3919, 480, 5200, 19, 28506, 348, 4476, 0, 531, 1804, 532, 1489, 204, 531, 6440, 5719, 532, 20534, 11690, 204, 531, 9417, 19, 17732, 12170, 6295, 6182, 532, 44074, 43092, 6295, 14324, 204, 531, 690, 30235, 1745, 19, 672, 24191, 532, 1489, 68, 531, 68, 1031, 204, 531, 1498, 532, 783, 17, 1535, 204, 531, 8378, 532, 2621, 204, 647, 3805, 448, 1246, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 1151, 68, 2039, 68, 553, 13, 553, 68, 546, 31, 2621, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 4143, 273, 2306, 510, 1025, 273, 3805, 3135, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 2306, 510, 4578, 448, 273, 3805, 3135, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1151, 275, 2306, 510, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 264, 827, 1246, 19, 6240, 19, 29831, 31, 204, 268, 314, 1426, 1392, 424, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 31, 334, 510, 463, 553, 68, 546, 98, 353, 1392, 1280, 204, 268, 407, 1246, 19, 1362, 374, 204, 264, 827, 1246, 19, 6240, 19, 34828, 31, 204, 268, 314, 1426, 1732, 908, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 31, 22677, 311, 2252, 275, 510, 463, 553, 68, 546, 12443, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 461, 838, 68, 6182, 68, 481, 13, 937, 31, 1246, 19, 4813, 17, 6440, 68, 5719, 31, 20534, 11690, 14, 393, 44074, 43092, 6295, 14324, 31, 204, 264, 320, 204, 264, 2605, 273, 44074, 43092, 6295, 14324, 726, 497, 273, 3805, 10665, 19, 204, 204, 264, 457, 31, 204, 268, 1237, 322, 2600, 19, 4813, 330, 334, 3805, 10665, 1174, 275, 4248, 424, 19, 204, 268, 6440, 68, 5719, 322, 31275, 11690, 330, 334, 6440, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 44074, 43092, 6295, 14324, 31, 334, 1966, 44074, 43092, 6295, 14324, 726, 19, 204, 264, 320, 204, 264, 314, 1986, 6826, 424, 497, 275, 1237, 204, 264, 28224, 68, 672, 289, 1489, 68, 531, 68, 1031, 13, 937, 736, 33382, 2378, 204, 264, 16606, 68, 2895, 289, 818, 13, 937, 736, 37361, 2378, 204, 264, 4248, 68, 932, 289, 1237, 736, 932, 839, 204, 264, 3671, 68, 2895, 289, 818, 13, 937, 736, 3529, 2378, 204, 204, 264, 314, 666, 273, 44074, 43092, 6295, 14324, 726, 204, 264, 407, 44074, 43092, 6295, 14324, 13, 33382, 68, 672, 17, 16606, 68, 2895, 17, 4248, 68, 932, 17, 3671, 68, 2895, 17, 6440, 68, 5719, 14, 204, 204, 461, 4248, 68, 481, 68, 531, 68, 2039, 13, 876, 68, 672, 31, 1489, 17, 6440, 68, 5719, 31, 20534, 11690, 14, 393, 1535, 64, 1218, 64, 38768, 43092, 6295, 14324, 2440, 204, 264, 320, 204, 264, 4143, 4248, 424, 497, 273, 2306, 510, 329, 6609, 273, 458, 302, 44074, 43092, 6295, 14324, 2828, 19, 204, 204, 264, 457, 31, 204, 268, 700, 68, 672, 322, 672, 330, 334, 700, 1489, 19, 204, 268, 6440, 68, 5719, 322, 31275, 11690, 330, 334, 6440, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 1535, 64, 1218, 64, 38768, 43092, 6295, 14324, 2440, 334, 458, 302, 44074, 43092, 6295, 14324, 2828, 521, 443, 397, 275, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 510, 832, 204, 264, 1489, 68, 1031, 289, 283, 1954, 876, 68, 672, 19, 2873, 15135, 876, 68, 672, 19, 4994, 15135, 876, 68, 672, 19, 2124, 2495, 204, 264, 510, 68, 417, 289, 283, 7, 23503, 68, 6182, 1859, 672, 68, 1031, 3572, 2039, 7, 204, 264, 510, 68, 546, 289, 2621, 15736, 6182, 68, 481, 15357, 802, 510, 68, 417, 204, 204, 264, 314, 778, 397, 275, 510, 2560, 204, 264, 397, 510, 68, 546, 19, 4332, 1293, 204, 268, 314, 1606, 275, 2306, 510, 204, 268, 4793, 68, 481, 289, 1151, 68, 2039, 68, 553, 13, 553, 68, 546, 14, 204, 822, 268, 314, 666, 273, 458, 302, 44074, 43092, 6295, 14324, 2828, 204, 268, 407, 4793, 68, 481, 19, 6774, 13, 3605, 1237, 31, 838, 68, 6182, 68, 481, 13, 937, 17, 6440, 68, 5719, 659, 3138, 34, 22, 789, 11380, 374, 204, 264, 902, 31, 204, 268, 314, 2175, 273, 10473, 397, 275, 510, 1583, 508, 1337, 204, 268, 2082, 19, 9041, 13, 75, 7, 673, 510, 463, 553, 68, 546, 98, 1583, 508, 1337, 1280, 204, 268, 407, 443, 204, 204, 461, 4793, 68, 481, 68, 531, 68, 2039, 13, 553, 68, 546, 31, 2621, 14, 393, 1246, 19, 4813, 31, 204, 264, 320, 204, 264, 4143, 4793, 424, 497, 273, 2306, 510, 329, 2584, 273, 3805, 10665, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 4813, 31, 334, 4793, 424, 448, 273, 3805, 10665, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 2306, 510, 204, 264, 4793, 68, 481, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 1112, 68, 982, 833, 672, 534, 204, 615, 264, 314, 2208, 275, 1112, 311, 1804, 204, 264, 4793, 68, 481, 19, 998, 289, 1246, 19, 633, 68, 2664, 13, 1292, 68, 481, 19, 998, 14, 204, 615, 264, 407, 4793, 68, 481, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 20534, 11690, 726, 204, 264, 6440, 68, 5719, 289, 20534, 11690, 374, 204, 204, 264, 314, 1359, 275, 700, 1489, 204, 264, 700, 68, 672, 289, 1489, 13, 8409, 17, 368, 17, 368, 14, 204, 204, 264, 314, 763, 275, 4248, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 424, 204, 264, 4248, 68, 481, 289, 4248, 68, 481, 68, 531, 68, 2039, 13, 876, 68, 672, 17, 6440, 68, 5719, 14, 204, 204, 264, 314, 1198, 275, 4248, 424, 204, 264, 397, 4248, 68, 481, 31, 204, 268, 348, 4248, 292, 4248, 68, 481, 31, 204, 305, 456, 13, 6182, 14, 204, 264, 902, 31, 204, 268, 456, 499, 3882, 4248, 424, 2755, 1280, 204, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 23589, 448, 15533, 204, 531, 4277, 19, 5702, 532, 19527, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 5984, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1137, 275, 424, 497, 275, 2306, 510, 204, 268, 424, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 14, 204, 268, 407, 424, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 424, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 7009, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 34759, 275, 424, 329, 5538, 5549, 4685, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 7009, 19, 204, 264, 320, 204, 264, 314, 778, 348, 4520, 1019, 204, 264, 456, 499, 32151, 348, 392, 20, 38, 1019, 2212, 204, 264, 348, 1837, 292, 424, 31, 204, 268, 456, 13, 75, 1954, 3071, 2829, 463, 481, 64, 3071, 1664, 360, 3662, 1528, 1303, 8050, 204, 204, 264, 314, 888, 329, 2037, 8200, 1283, 2558, 204, 264, 456, 3273, 83, 35423, 302, 2558, 2212, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1003, 17, 1132, 602, 204, 264, 15533, 19, 25363, 13, 481, 19, 20126, 2144, 5704, 34, 1021, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3740, 4802, 11100, 4685, 204, 264, 456, 3273, 83, 16624, 11100, 4685, 2212, 204, 264, 1246, 19, 574, 68, 6182, 611, 2994, 19, 1129, 68, 3786, 491, 443, 14, 204, 264, 456, 13, 481, 19, 24715, 1447, 204, 204, 461, 8603, 68, 24771, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 41140, 275, 3272, 302, 848, 2648, 292, 275, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 8603, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4368, 440, 20266, 348, 848, 2648, 204, 264, 2836, 17, 8648, 289, 1513, 19, 11552, 13, 32994, 3644, 1796, 13, 481, 19, 3786, 14, 465, 435, 14, 3166, 571, 17, 45109, 34, 24, 17, 18550, 3644, 2188, 17, 2153, 602, 204, 264, 348, 296, 17, 1837, 292, 3209, 13, 481, 19, 3786, 330, 204, 268, 314, 3045, 275, 3272, 302, 275, 790, 2648, 204, 268, 15533, 19, 3657, 1657, 13, 481, 64, 3071, 648, 11466, 34, 1036, 17, 1711, 34, 13352, 64, 78, 3166, 571, 17, 296, 1564, 571, 694, 204, 268, 8648, 64, 78, 3166, 571, 17, 296, 1564, 571, 1664, 574, 68, 1778, 13, 75, 7, 22763, 15040, 302, 463, 3071, 743, 204, 264, 314, 30596, 1169, 27984, 20266, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 481, 19, 3786, 659, 1245, 13, 13352, 19, 15203, 4019, 204, 268, 8648, 19, 15203, 64, 78, 1664, 3399, 611, 3008, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 3981, 68, 481, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7074, 5358, 275, 424, 974, 1144, 18, 14730, 329, 4954, 1440, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 311, 3981, 19, 204, 264, 320, 204, 264, 314, 4347, 275, 8819, 542, 302, 8949, 974, 275, 9401, 12718, 1216, 204, 264, 306, 11016, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 22, 17, 2958, 330, 204, 268, 19869, 289, 19527, 13, 83, 68, 8073, 34, 78, 17, 1400, 68, 1512, 34, 11215, 14, 204, 268, 19869, 19, 2714, 13, 481, 14, 204, 268, 306, 11016, 19, 1223, 13, 25121, 19, 42767, 18903, 204, 204, 264, 314, 3045, 275, 595, 14507, 1019, 311, 3822, 275, 8819, 542, 302, 8949, 204, 264, 1513, 19, 1657, 13, 2307, 13, 22, 17, 2958, 659, 306, 11016, 17, 279, 833, 747, 534, 204, 264, 1513, 19, 1778, 611, 21153, 542, 302, 8949, 534, 204, 264, 1513, 19, 7246, 611, 4290, 302, 8949, 534, 204, 264, 1513, 19, 7127, 611, 60, 14507, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3055, 1144, 18, 14730, 13060, 440, 275, 8819, 542, 302, 8949, 204, 264, 19869, 289, 19527, 13, 83, 68, 8073, 34, 24, 17, 1400, 68, 1512, 34, 11215, 14, 204, 264, 469, 68, 25121, 289, 19869, 19, 2714, 68, 4396, 13, 481, 14, 204, 264, 424, 68, 643, 289, 424, 19, 1309, 204, 204, 264, 314, 3045, 275, 8949, 329, 1017, 15417, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 500, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 500, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 747, 491, 1800, 833, 15950, 368, 534, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 368, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 368, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 6267, 491, 1800, 833, 15950, 435, 534, 204, 264, 1513, 19, 10129, 13, 481, 68, 643, 64, 94, 68, 25121, 564, 435, 17, 500, 648, 424, 68, 643, 64, 94, 68, 25121, 564, 435, 17, 368, 648, 297, 34, 1719, 17, 279, 833, 9378, 491, 1800, 833, 15950, 571, 534, 204, 264, 1513, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 10129, 13, 25121, 19, 5702, 68, 15137, 68, 3460, 500, 648, 19869, 19, 5702, 68, 15137, 68, 3460, 368, 648, 297, 34, 2051, 17, 279, 833, 17903, 491, 1800, 833, 17111, 11346, 534, 204, 264, 1513, 19, 1778, 611, 48, 14730, 46230, 11250, 1657, 440, 15417, 534, 204, 264, 1513, 19, 9042, 374, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 379, 20981, 19, 2039, 12, 204, 264, 424, 289, 1137, 68, 481, 13, 553, 68, 546, 14, 204, 264, 397, 424, 353, 508, 443, 31, 204, 268, 7009, 68, 481, 13, 481, 14, 204, 268, 8603, 68, 24771, 13, 481, 14, 204, 268, 3981, 68, 481, 13, 481, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1125, 82, 19, 9747, 2036, 19, 12798, 3869, 6410, 532, 34412, 8451, 28, 53, 4334, 204, 531, 1125, 82, 19, 9747, 2036, 19, 277, 712, 270, 994, 532, 3594, 2740, 16709, 416, 204, 531, 1125, 82, 19, 1234, 19, 23923, 19, 23923, 772, 532, 47675, 68, 46435, 17, 17660, 17, 2694, 12374, 53, 204, 531, 12348, 532, 15266, 6372, 448, 15266, 23, 204, 647, 1875, 204, 647, 39474, 204, 531, 1034, 2562, 532, 308, 2562, 4170, 17, 308, 2562, 5286, 204, 204, 676, 7837, 12309, 730, 31, 204, 264, 320, 204, 264, 5443, 41141, 348, 27250, 329, 26850, 11269, 3595, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 896, 31, 3154, 17, 3372, 31, 394, 289, 388, 45, 25749, 68, 17491, 23, 6471, 204, 268, 320, 204, 268, 2605, 273, 943, 34274, 329, 46891, 1683, 275, 1713, 896, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 3881, 330, 334, 896, 1376, 348, 5888, 19, 204, 305, 3372, 322, 325, 17, 1448, 330, 334, 3372, 1376, 348, 5888, 19, 1243, 311, 388, 45, 25749, 68, 17491, 23, 2948, 204, 268, 320, 204, 268, 397, 3372, 2167, 388, 45, 25749, 68, 17491, 23, 559, 204, 305, 980, 987, 499, 42970, 1698, 42922, 68, 17491, 23, 353, 6300, 448, 437, 3372, 431, 204, 268, 370, 806, 10992, 289, 3372, 204, 268, 370, 806, 644, 289, 896, 204, 204, 264, 436, 11958, 13, 327, 17, 943, 31, 394, 521, 3154, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 308, 12, 534, 393, 1135, 31, 204, 268, 320, 204, 268, 40519, 322, 25749, 14, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 16413, 448, 537, 311, 275, 42922, 3372, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 308, 12, 2625, 204, 204, 268, 475, 31, 204, 305, 1135, 31, 6881, 15864, 302, 275, 17370, 3372, 17, 275, 17370, 336, 943, 322, 276, 16708, 659, 329, 275, 12323, 14406, 560, 17370, 299, 42922, 68, 10992, 465, 4916, 989, 465, 5530, 19, 204, 268, 320, 204, 268, 314, 9251, 275, 4916, 424, 353, 292, 7480, 1883, 17, 1814, 397, 3600, 19, 204, 268, 397, 508, 2381, 13, 16684, 68, 481, 17, 3154, 330, 204, 305, 4916, 68, 481, 289, 3154, 13, 16684, 68, 481, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 314, 2208, 943, 311, 3154, 397, 3600, 204, 268, 397, 508, 2381, 13, 1454, 17, 3154, 330, 204, 305, 943, 289, 3154, 13, 1454, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 407, 463, 204, 305, 388, 25101, 559, 370, 806, 10992, 17, 204, 305, 388, 5000, 559, 943, 17, 204, 305, 388, 12743, 559, 39474, 19, 1957, 13, 327, 806, 644, 17, 3154, 13, 327, 806, 10992, 17, 388, 3102, 18, 29, 431, 465, 4916, 68, 481, 465, 943, 17, 12323, 2272, 34, 11481, 23, 789, 18927, 374, 204, 268, 1211, 204, 204, 264, 436, 6767, 13, 327, 17, 943, 68, 416, 68, 12743, 31, 1135, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 308, 12, 534, 393, 1109, 31, 204, 268, 320, 204, 268, 11885, 3855, 275, 17370, 12323, 497, 537, 16708, 329, 12323, 4083, 275, 14406, 1051, 1048, 16708, 329, 4916, 424, 19, 204, 204, 268, 457, 31, 204, 305, 943, 68, 416, 68, 12743, 322, 873, 330, 6881, 15864, 302, 275, 17370, 3372, 17, 275, 17370, 336, 943, 322, 276, 16708, 659, 329, 275, 12323, 14406, 560, 17370, 299, 42922, 68, 10992, 465, 4916, 989, 465, 5530, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 308, 12, 2625, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 12323, 88, 2216, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 397, 943, 68, 416, 68, 12743, 736, 25101, 839, 2167, 370, 806, 10992, 31, 204, 305, 980, 987, 499, 42970, 1698, 42922, 68, 17491, 23, 353, 6300, 448, 437, 3372, 431, 204, 822, 268, 314, 9251, 275, 4916, 424, 353, 292, 7480, 1883, 17, 1814, 397, 3600, 19, 204, 268, 397, 508, 2381, 13, 16684, 68, 481, 17, 3154, 330, 204, 305, 4916, 68, 481, 289, 3154, 13, 16684, 68, 481, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 1812, 289, 3154, 13, 327, 19, 9113, 13, 1454, 68, 416, 68, 12743, 736, 5000, 2043, 4916, 68, 481, 34, 16684, 68, 481, 26459, 12743, 2043, 379, 3102, 18, 29, 534, 204, 268, 5445, 289, 3154, 13, 1454, 68, 416, 68, 12743, 736, 12743, 2043, 379, 3102, 18, 29, 534, 204, 822, 268, 314, 1785, 5408, 275, 3678, 5976, 302, 275, 3422, 700, 311, 4516, 273, 19730, 5087, 204, 268, 407, 15266, 23, 13, 5477, 789, 12743, 374, 564, 15266, 23, 13, 15925, 789, 12743, 374, 204, 204, 204, 676, 25403, 5504, 38307, 84, 7637, 41141, 31, 204, 264, 320, 204, 264, 5443, 41141, 348, 12713, 11255, 329, 22455, 302, 424, 19, 204, 264, 25497, 3483, 1308, 437, 382, 4495, 40, 2157, 23, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 10390, 12713, 6318, 348, 18086, 424, 19, 204, 264, 29118, 1698, 13157, 1410, 26965, 496, 2084, 618, 9694, 329, 10318, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 896, 31, 3154, 17, 3372, 31, 394, 289, 17660, 17, 2291, 31, 394, 289, 47675, 68, 46435, 330, 204, 268, 320, 204, 268, 1865, 275, 12713, 17910, 995, 41141, 19, 204, 204, 268, 457, 31, 204, 305, 896, 322, 3881, 330, 334, 12713, 896, 19, 204, 305, 3372, 322, 325, 17, 1448, 330, 334, 3372, 1376, 348, 11255, 19, 1243, 311, 17660, 19, 204, 305, 2291, 322, 325, 17, 1448, 330, 334, 2291, 1376, 348, 11255, 19, 1243, 311, 47675, 68, 46435, 19, 204, 268, 320, 204, 268, 370, 806, 10992, 289, 3372, 204, 268, 370, 806, 644, 68, 1796, 289, 2247, 204, 268, 370, 806, 3199, 68, 835, 289, 2247, 204, 268, 370, 806, 3607, 289, 2291, 204, 268, 370, 806, 644, 289, 896, 2022, 327, 806, 644, 68, 1796, 66, 226, 314, 1812, 311, 444, 3154, 204, 268, 2136, 1245, 13, 327, 806, 644, 14, 564, 370, 806, 644, 68, 1796, 17, 388, 32410, 5504, 38307, 84, 7637, 41141, 896, 4440, 3697, 7, 204, 268, 370, 806, 12798, 289, 34412, 8451, 28, 53, 4334, 374, 204, 204, 264, 436, 906, 924, 68, 13378, 13, 327, 17, 22173, 31, 3154, 289, 443, 330, 204, 268, 320, 204, 268, 1865, 275, 8384, 19, 204, 204, 268, 457, 31, 204, 305, 22173, 322, 3881, 17, 1448, 330, 334, 7934, 2450, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 397, 22173, 353, 443, 31, 204, 305, 22173, 289, 3594, 2740, 16709, 416, 1528, 505, 10300, 33454, 13, 327, 806, 3199, 68, 835, 14, 204, 268, 370, 806, 467, 289, 22173, 204, 268, 407, 2694, 12374, 53, 13, 327, 806, 10992, 17, 322, 327, 806, 644, 17, 370, 806, 3607, 17, 370, 806, 467, 602, 204, 204, 264, 436, 906, 4170, 68, 5286, 13, 327, 17, 424, 31, 1135, 17, 6398, 330, 204, 268, 320, 204, 268, 32066, 521, 355, 7676, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 6093, 521, 9581, 19, 204, 305, 6398, 31, 334, 741, 311, 444, 6310, 311, 275, 424, 19, 204, 268, 320, 204, 268, 424, 736, 8644, 839, 289, 6398, 13, 481, 736, 8644, 2378, 204, 268, 424, 736, 31213, 3430, 839, 289, 6398, 13, 481, 736, 31213, 3430, 2378, 204, 268, 407, 424, 204, 204, 264, 436, 906, 4170, 13, 327, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 32066, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 6093, 19, 204, 268, 320, 204, 268, 407, 370, 806, 4170, 68, 5286, 13, 481, 17, 4464, 610, 31, 308, 2562, 4170, 13, 93, 789, 5286, 611, 3102, 18, 29, 3063, 204, 204, 264, 436, 906, 5286, 13, 327, 17, 424, 31, 1135, 330, 204, 268, 320, 204, 268, 30783, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 873, 330, 334, 424, 311, 444, 9581, 19, 204, 268, 320, 204, 268, 407, 370, 806, 4170, 68, 5286, 13, 481, 17, 4464, 610, 31, 308, 2562, 5286, 13, 3881, 13, 93, 17, 379, 3102, 18, 29, 22090, 204, 204, 264, 436, 14251, 13, 327, 17, 943, 31, 394, 521, 3154, 330, 204, 268, 320, 204, 268, 37825, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 311, 444, 8079, 19, 204, 268, 320, 204, 268, 314, 2208, 943, 311, 3154, 397, 3600, 204, 268, 397, 508, 2381, 13, 1454, 17, 3154, 330, 204, 305, 943, 289, 3154, 13, 1454, 17, 388, 3102, 18, 29, 431, 204, 822, 268, 25636, 289, 370, 806, 17780, 13, 1454, 14, 204, 268, 314, 2084, 3157, 2950, 874, 2510, 424, 292, 1475, 17, 754, 572, 1631, 1034, 2562, 9694, 8384, 204, 268, 279, 356, 289, 1875, 19, 7362, 13, 327, 806, 4170, 13, 294, 602, 204, 268, 407, 279, 356, 204, 204, 264, 436, 906, 17780, 13, 327, 17, 943, 31, 3154, 330, 204, 268, 320, 204, 268, 37825, 273, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 3881, 330, 334, 943, 311, 444, 8079, 19, 204, 268, 320, 204, 268, 314, 12338, 275, 16605, 2950, 444, 758, 1877, 12943, 7908, 17, 15194, 329, 14251, 204, 268, 314, 1631, 17046, 523, 1017, 3346, 5644, 302, 275, 8384, 204, 268, 8384, 289, 370, 806, 924, 68, 13378, 374, 204, 268, 25636, 289, 2552, 1889, 44, 597, 370, 806, 10992, 17, 204, 11826, 379, 7847, 597, 370, 806, 3607, 17, 204, 11826, 379, 8644, 597, 370, 806, 467, 17, 204, 11826, 379, 31213, 3430, 597, 8384, 19, 17780, 13, 327, 806, 12798, 19, 4170, 13, 1454, 602, 204, 11826, 1211, 204, 268, 407, 25636, 204, 204, 264, 436, 15194, 13, 327, 17, 8384, 68, 492, 31, 394, 330, 204, 268, 320, 204, 268, 42711, 273, 16708, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 325, 330, 334, 16708, 311, 444, 12225, 19, 204, 268, 320, 204, 268, 283, 289, 1875, 19, 5569, 13, 13378, 68, 492, 14, 204, 268, 407, 370, 806, 20480, 13, 327, 806, 5286, 13, 75, 602, 204, 204, 264, 436, 906, 20480, 13, 327, 17, 8384, 68, 492, 31, 1135, 330, 204, 268, 320, 204, 268, 42711, 273, 16708, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 873, 330, 334, 16708, 311, 444, 12225, 19, 204, 268, 320, 204, 268, 8384, 289, 370, 806, 924, 68, 13378, 13, 13378, 68, 492, 736, 8644, 2378, 204, 268, 5530, 289, 8384, 19, 20480, 13, 13378, 68, 492, 736, 31213, 3430, 2378, 204, 268, 407, 370, 806, 12798, 19, 5286, 13, 5000, 14, 204, 204, 204, 676, 10276, 756, 38307, 84, 7637, 41141, 13, 32410, 5504, 38307, 84, 7637, 41141, 330, 204, 264, 320, 204, 264, 42940, 10276, 756, 37979, 7945, 440, 6119, 1594, 322, 15578, 3007, 14, 995, 41141, 19, 204, 264, 334, 4916, 424, 353, 1448, 17, 329, 808, 2585, 353, 27809, 19686, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 440, 275, 1729, 850, 2900, 275, 4916, 424, 4248, 19, 204, 264, 320, 204, 204, 264, 436, 14251, 13, 327, 17, 943, 31, 394, 521, 3154, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 48849, 204, 268, 320, 204, 268, 37825, 273, 943, 292, 32291, 3007, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 521, 3154, 330, 334, 943, 311, 444, 8079, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 9434, 204, 268, 320, 204, 268, 314, 10473, 1698, 1097, 292, 275, 1400, 33611, 204, 268, 11958, 68, 644, 289, 15266, 23, 13, 71, 12, 16710, 276, 502, 640, 3970, 48597, 12, 465, 370, 806, 644, 789, 12743, 374, 204, 268, 11958, 289, 7837, 12309, 730, 13, 9113, 68, 644, 14, 204, 268, 4493, 289, 2234, 13, 26712, 38307, 84, 7637, 41141, 17, 370, 789, 17780, 13, 1454, 14, 204, 268, 407, 11958, 19, 9113, 13, 999, 17, 4916, 68, 481, 34, 16684, 68, 481, 14, 204, 204, 264, 436, 15194, 13, 327, 17, 8384, 68, 492, 31, 1135, 17, 4916, 68, 481, 31, 394, 521, 3154, 289, 48849, 204, 268, 320, 204, 268, 42711, 273, 16708, 292, 32291, 3007, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 8384, 68, 492, 322, 873, 330, 334, 16708, 311, 444, 12225, 19, 204, 305, 4916, 68, 481, 322, 325, 521, 3154, 17, 1448, 330, 6119, 424, 496, 1120, 444, 17370, 336, 4430, 440, 275, 16708, 329, 3372, 19, 1243, 311, 9434, 204, 268, 320, 204, 268, 314, 10473, 1698, 1097, 292, 275, 1400, 33611, 204, 268, 11958, 68, 644, 289, 15266, 23, 13, 71, 12, 16710, 276, 502, 640, 3970, 48597, 12, 465, 370, 806, 644, 789, 12743, 374, 204, 268, 11958, 289, 7837, 12309, 730, 13, 9113, 68, 644, 14, 204, 268, 397, 508, 11958, 19, 11174, 13, 13378, 68, 492, 17, 4916, 68, 481, 34, 16684, 68, 481, 330, 204, 305, 980, 987, 499, 1962, 11958, 19, 8800, 424, 867, 265, 2063, 14725, 440, 521, 1214, 896, 353, 9263, 431, 204, 268, 902, 31, 204, 305, 407, 2234, 13, 26712, 38307, 84, 7637, 41141, 17, 370, 789, 20480, 13, 13378, 68, 492, 736, 5000, 2378, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 896, 289, 308, 8761, 93, 473, 12, 540, 2247, 226, 314, 2247, 3154, 896, 204, 264, 17910, 289, 10276, 756, 38307, 84, 7637, 41141, 13, 644, 14, 204, 615, 264, 943, 289, 388, 5975, 17, 5179, 9851, 204, 264, 4916, 68, 481, 289, 388, 1834, 353, 4916, 424, 7, 204, 615, 264, 8079, 68, 1454, 289, 17910, 19, 17780, 13, 1454, 17, 4916, 68, 481, 14, 204, 264, 456, 499, 42677, 943, 2180, 8079, 68, 1454, 14, 204, 615, 264, 12225, 68, 1454, 289, 17910, 19, 20480, 13, 16452, 68, 1454, 17, 4916, 68, 481, 14, 204, 264, 456, 499, 47019, 943, 2180, 12225, 68, 1454, 19, 5286, 499, 3102, 18, 29, 3687, 204, 0, 6674, 5553, 946, 8996, 2680, 85, 311, 10504, 887, 204, 56, 44024, 2717, 299, 30678, 311, 636, 275, 904, 1874, 311, 2073, 1017, 3346, 3888, 560, 4461, 1475, 4030, 329, 8374, 685, 275, 2073, 497, 1475, 19, 204, 6674, 5553, 946, 8996, 13157, 4193, 38573, 17, 329, 47491, 2804, 292, 1017, 1813, 348, 5268, 19, 1547, 28534, 19972, 9056, 329, 7894, 311, 2390, 275, 23007, 496, 1895, 348, 3094, 48325, 292, 3307, 19, 204, 6674, 5553, 946, 696, 787, 29009, 4658, 2459, 275, 10931, 311, 2717, 329, 10647, 6705, 17, 7345, 329, 8660, 496, 529, 3287, 329, 6826, 311, 1475, 7870, 42540, 329, 3307, 19, 204, 5797, 2459, 322, 53, 18, 27, 14, 630, 36141, 1462, 1887, 6939, 37193, 10582, 25486, 292, 17299, 17696, 15483, 19, 334, 15483, 1340, 311, 2390, 16244, 3269, 6173, 292, 4998, 311, 21536, 1017, 6121, 17, 26975, 1475, 311, 13290, 329, 700, 275, 8660, 302, 5261, 329, 311, 6635, 1017, 15729, 19, 334, 15483, 874, 19424, 273, 4883, 6061, 292, 275, 2384, 332, 354, 59, 961, 4585, 7455, 329, 783, 6533, 424, 5229, 275, 3859, 19, 204, 6674, 5553, 946, 696, 787, 9206, 618, 1336, 7870, 275, 2344, 292, 1169, 3100, 4699, 329, 353, 49088, 560, 275, 1182, 23636, 17299, 15483, 19, 0, 55, 865, 7011, 70, 31, 38028, 329, 31841, 204, 13263, 266, 3490, 1856, 444, 19599, 329, 12331, 630, 275, 17338, 2237, 19, 39937, 3490, 2549, 1895, 273, 1874, 2909, 5726, 329, 34437, 19, 30739, 7011, 70, 353, 1051, 302, 275, 7498, 4042, 496, 4767, 1910, 1880, 292, 7504, 3054, 19, 9419, 2249, 884, 88, 32460, 2909, 1025, 30739, 7011, 70, 19, 204, 55, 865, 7011, 70, 353, 20166, 560, 4720, 2292, 329, 18544, 299, 302, 275, 7498, 19, 1058, 7498, 2407, 5971, 13605, 17987, 17, 556, 266, 17, 9621, 329, 3811, 41681, 19, 9496, 1880, 11512, 3067, 622, 3804, 331, 70, 448, 44157, 1882, 275, 7830, 7341, 329, 1120, 1698, 20450, 5287, 1330, 275, 2407, 17517, 30222, 19, 30739, 7011, 70, 508, 1698, 8095, 3731, 292, 7498, 1848, 1101, 1741, 1425, 3253, 7150, 19, 204, 673, 4710, 5127, 348, 275, 2641, 3253, 302, 30739, 7011, 70, 353, 508, 9002, 46872, 19, 3846, 1422, 529, 754, 1910, 18738, 496, 529, 12459, 12551, 311, 444, 275, 5127, 348, 275, 3253, 302, 622, 3804, 331, 70, 5104, 521, 40506, 19, 852, 19460, 302, 4440, 3171, 1573, 3011, 3117, 329, 8797, 3117, 353, 12551, 311, 444, 1051, 302, 275, 2727, 10769, 348, 275, 622, 3804, 331, 70, 19, 14262, 12459, 12551, 5127, 353, 275, 11954, 9757, 19, 40612, 74, 5583, 4042, 329, 8797, 2263, 17286, 329, 1533, 16954, 1784, 1425, 43802, 275, 2407, 19, 204, 5009, 1856, 2379, 496, 1422, 353, 1236, 19679, 23128, 348, 622, 3804, 331, 70, 2407, 19, 3355, 17, 275, 2407, 2549, 444, 14771, 311, 5068, 13405, 11312, 329, 2549, 1425, 47528, 275, 2620, 19, 3665, 618, 4260, 6321, 273, 39350, 23502, 521, 732, 1048, 18, 1947, 18, 5951, 1913, 787, 20750, 311, 636, 17712, 19, 3065, 353, 1425, 16244, 15781, 2755, 348, 808, 2407, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9024, 5086, 17, 16127, 15278, 529, 6028, 448, 275, 2765, 4248, 348, 622, 3804, 331, 70, 19, 334, 16127, 15278, 529, 9395, 6639, 448, 275, 1225, 6497, 1025, 275, 7498, 17, 523, 275, 5043, 18525, 19, 1058, 5519, 353, 2202, 25196, 329, 1583, 508, 11139, 1169, 9233, 1653, 6126, 19, 204, 3728, 353, 16567, 36333, 430, 344, 36, 204, 673, 1848, 329, 19309, 302, 7498, 13909, 273, 11897, 2479, 292, 35926, 2077, 14748, 19, 334, 42800, 23725, 356, 4207, 292, 2077, 7498, 6626, 42800, 266, 17, 928, 4658, 1848, 311, 2077, 7498, 19, 4168, 275, 5627, 302, 42800, 266, 6401, 2223, 17, 1675, 2077, 7498, 1848, 6401, 3060, 9373, 2317, 273, 2407, 13018, 448, 6053, 36333, 430, 344, 19, 1058, 2407, 2549, 444, 13861, 3913, 311, 1910, 10769, 1702, 10789, 311, 22735, 329, 3913, 311, 1653, 6126, 302, 1429, 11458, 19, 22106, 6053, 36333, 430, 344, 353, 508, 273, 21216, 7155, 2407, 17, 5862, 17, 1051, 1856, 44186, 4070, 490, 11050, 311, 5068, 275, 7498, 3472, 1182, 9373, 329, 794, 32777, 447, 19, 3065, 529, 754, 1910, 2914, 311, 23128, 17, 4070, 329, 5068, 275, 6053, 36333, 430, 344, 19, 204, 19243, 35926, 275, 3200, 302, 5519, 17, 1051, 1856, 3126, 275, 1187, 302, 6053, 36333, 430, 344, 19, 24962, 292, 48760, 1870, 2549, 722, 292, 6053, 36333, 430, 344, 19, 1765, 1763, 17, 38942, 292, 24704, 21506, 1870, 2549, 2931, 275, 37392, 344, 19, 204, 14167, 9940, 353, 273, 1187, 302, 37392, 344, 496, 353, 5971, 1193, 4751, 275, 1880, 21656, 4166, 3382, 19, 592, 1429, 2910, 17, 6053, 36333, 430, 344, 2549, 1425, 1336, 3913, 311, 17737, 7498, 329, 904, 7498, 4042, 329, 9745, 19, 828, 872, 3480, 13055, 4070, 275, 6053, 36333, 430, 344, 17, 490, 353, 4037, 311, 6321, 273, 39350, 23502, 19, 332, 39350, 23502, 1784, 7260, 275, 1187, 302, 6053, 36333, 430, 344, 1924, 4109, 5962, 4155, 19, 5512, 566, 1784, 8789, 275, 2765, 1913, 787, 20750, 5575, 311, 1214, 7498, 2407, 19, 828, 275, 1419, 5519, 3756, 508, 1225, 2590, 17, 1675, 275, 8634, 1784, 48385, 11772, 5519, 1702, 448, 16127, 5519, 17, 7498, 1464, 961, 521, 8912, 1464, 961, 19, 204, 2841, 529, 754, 1910, 7498, 4101, 11366, 521, 26293, 3332, 275, 3477, 311, 6018, 275, 2765, 1988, 348, 1214, 6053, 36333, 430, 344, 1844, 19, 0, 647, 1875, 204, 647, 1127, 204, 647, 304, 204, 647, 690, 204, 531, 1498, 532, 2334, 17, 5006, 17, 1061, 17, 783, 17, 1535, 204, 647, 5634, 19, 3520, 204, 647, 5634, 19, 2184, 9424, 204, 647, 3238, 204, 647, 2821, 204, 204, 8, 4861, 204, 6355, 68, 4887, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 31720, 379, 481, 534, 204, 204, 461, 1151, 68, 1775, 13, 553, 68, 546, 31, 394, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 273, 2084, 510, 329, 2584, 1163, 4578, 448, 273, 955, 19, 204, 615, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 283, 31, 204, 305, 407, 1875, 19, 986, 13, 75, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 510, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 1775, 13, 553, 68, 546, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 2334, 694, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 273, 955, 311, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 264, 424, 322, 1665, 64, 325, 17, 2334, 1037, 334, 424, 311, 2281, 311, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 465, 3759, 8435, 491, 379, 92, 534, 448, 283, 31, 204, 268, 1875, 19, 4573, 13, 481, 17, 283, 17, 8851, 20265, 89, 534, 204, 264, 1127, 19, 14925, 13, 553, 68, 546, 465, 3759, 8435, 491, 510, 68, 546, 14, 204, 204, 461, 4897, 68, 1217, 13, 1217, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 1445, 397, 490, 1583, 508, 1337, 19, 204, 615, 264, 457, 31, 204, 264, 7892, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 264, 320, 204, 264, 1127, 19, 8240, 13, 1217, 68, 546, 17, 1337, 68, 779, 34, 1021, 14, 204, 204, 461, 4897, 68, 481, 1217, 13, 1509, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 23909, 292, 275, 424, 1445, 397, 490, 1583, 508, 1337, 19, 204, 615, 264, 457, 31, 204, 264, 860, 417, 322, 325, 330, 334, 588, 302, 275, 23909, 19, 204, 264, 320, 204, 264, 4897, 68, 1217, 13, 865, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 860, 417, 602, 204, 204, 461, 1151, 68, 481, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 424, 497, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 2084, 510, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 21584, 68, 2029, 13, 11498, 17, 30404, 14, 204, 264, 407, 1151, 68, 1775, 13, 553, 68, 546, 14, 204, 204, 461, 21584, 68, 2029, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 325, 66, 289, 443, 17, 7929, 31, 394, 289, 3759, 1775, 534, 393, 394, 31, 204, 264, 320, 204, 264, 3989, 275, 510, 832, 348, 273, 800, 1034, 588, 329, 1445, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 264, 7929, 322, 325, 330, 334, 510, 7929, 19, 1243, 311, 3759, 1775, 2625, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 510, 832, 19, 204, 264, 320, 204, 264, 397, 508, 304, 19, 4054, 13, 87, 17081, 64, 19, 70, 18, 95, 21, 18, 30, 38, 18, 63, 47230, 10809, 21842, 23176, 330, 204, 268, 980, 1319, 13, 75, 7, 1962, 23176, 463, 11498, 743, 204, 264, 397, 30404, 31, 204, 268, 407, 1127, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 30404, 17, 23176, 465, 7929, 14, 204, 264, 902, 31, 204, 268, 407, 1127, 19, 546, 19, 1541, 13, 6355, 68, 4887, 17, 23176, 465, 7929, 14, 204, 204, 461, 424, 68, 4332, 13, 11498, 31, 394, 17, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 424, 510, 2560, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 1109, 31, 959, 397, 275, 510, 2560, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 510, 68, 546, 289, 21584, 68, 2029, 13, 11498, 17, 30404, 14, 204, 264, 407, 1127, 19, 546, 19, 4332, 13, 553, 68, 546, 14, 204, 204, 461, 2281, 68, 481, 13, 11498, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 2334, 648, 30404, 31, 1535, 64, 325, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 424, 311, 273, 2084, 510, 19, 204, 615, 264, 457, 31, 204, 264, 23176, 322, 325, 330, 334, 1034, 588, 302, 275, 510, 19, 204, 264, 424, 322, 1665, 64, 325, 17, 2334, 1037, 334, 424, 311, 2281, 19, 204, 264, 30404, 322, 4437, 64, 325, 1037, 334, 1445, 588, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 4897, 68, 1217, 13, 6355, 68, 4887, 14, 204, 264, 2281, 68, 1775, 13, 17756, 68, 2029, 13, 11498, 17, 30404, 659, 424, 14, 204, 204, 461, 5634, 68, 655, 13, 5404, 31, 5006, 17, 1040, 31, 1535, 64, 339, 66, 289, 443, 14, 393, 783, 64, 5588, 744, 204, 264, 320, 204, 264, 2605, 273, 5634, 4184, 348, 273, 4651, 19, 204, 615, 264, 457, 31, 204, 264, 4651, 322, 9261, 330, 334, 4651, 311, 13767, 1048, 19, 204, 264, 1040, 322, 4437, 64, 339, 1037, 334, 1113, 1040, 302, 2696, 19, 1243, 311, 443, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 5588, 744, 334, 458, 302, 2696, 497, 275, 4651, 19, 204, 264, 320, 204, 264, 33009, 289, 5634, 19, 3520, 19, 12392, 13, 1129, 34, 765, 14, 397, 1040, 902, 5634, 19, 2184, 9424, 19, 38154, 1570, 374, 204, 264, 407, 458, 13, 11922, 19, 2062, 13, 5404, 602, 204, 204, 461, 906, 976, 68, 1087, 374, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 4143, 275, 954, 510, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 4578, 302, 275, 954, 510, 19, 204, 264, 320, 204, 264, 954, 68, 6696, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 31720, 379, 1087, 19, 1775, 534, 204, 264, 407, 1151, 68, 1775, 13, 1087, 68, 6696, 14, 204, 204, 68, 1087, 289, 906, 976, 68, 1087, 374, 204, 204, 461, 1151, 68, 1087, 374, 393, 1061, 64, 325, 17, 2334, 744, 204, 264, 320, 204, 264, 475, 275, 954, 19, 204, 615, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 2334, 744, 334, 954, 19, 204, 264, 320, 204, 264, 407, 906, 1087, 204, 204, 461, 7399, 68, 2029, 13, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 16089, 273, 2049, 7399, 560, 13931, 2872, 2724, 19, 204, 615, 264, 457, 31, 204, 264, 588, 322, 325, 330, 334, 2049, 311, 1895, 7399, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 7399, 2049, 19, 204, 264, 320, 204, 264, 513, 289, 304, 19, 1509, 13, 87, 18380, 67, 19, 70, 18, 17530, 18, 63, 21, 18, 30, 47230, 10809, 491, 2325, 47848, 588, 14, 204, 264, 2136, 304, 19, 4054, 13, 87, 17081, 64, 19, 70, 18, 17530, 18, 63, 21, 18, 30, 47230, 10809, 21842, 513, 659, 283, 1954, 494, 98, 353, 508, 273, 7399, 2049, 7, 204, 264, 407, 513, 204, 204, 461, 2497, 68, 27999, 13, 3766, 31, 3238, 19, 6261, 17, 30404, 31, 394, 17, 6398, 31, 5006, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1739, 675, 1048, 21028, 19, 204, 615, 264, 457, 31, 204, 264, 1732, 322, 11996, 19, 6261, 330, 334, 1732, 311, 732, 19, 204, 264, 30404, 322, 325, 330, 334, 1445, 588, 19, 204, 264, 6398, 322, 9261, 330, 334, 741, 311, 2428, 348, 848, 5662, 19, 204, 264, 320, 204, 264, 1732, 19, 826, 68, 2389, 6905, 91, 491, 6262, 7952, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 10660, 1714, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 86, 491, 6262, 1625, 18, 1835, 491, 2984, 833, 1625, 68, 1835, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 5058, 508, 2248, 5634, 14389, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 75, 491, 6262, 2741, 491, 17067, 833, 23525, 53, 491, 1187, 34, 272, 19, 7354, 17, 1340, 833, 8865, 560, 5662, 44351, 322, 10381, 7277, 11953, 204, 264, 1732, 19, 826, 68, 2389, 6905, 87, 491, 6262, 747, 84, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 5058, 808, 2086, 2219, 397, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 490, 353, 12208, 4151, 348, 275, 5662, 534, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 954, 289, 1151, 68, 1087, 374, 204, 264, 17435, 68, 27999, 289, 758, 13, 1087, 19, 505, 611, 43652, 68, 27999, 491, 36020, 204, 204, 264, 4897, 68, 481, 1217, 13, 7094, 14, 204, 204, 264, 2042, 19, 1087, 289, 954, 204, 204, 264, 436, 906, 17201, 68, 15440, 13, 9519, 68, 873, 31, 1061, 64, 325, 17, 2334, 694, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 5662, 1856, 444, 4371, 19, 204, 822, 268, 457, 31, 204, 268, 12945, 68, 873, 322, 1665, 64, 325, 17, 2334, 1037, 334, 5662, 955, 19, 204, 822, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 5662, 1856, 444, 4371, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 397, 12945, 68, 873, 736, 5022, 68, 417, 839, 292, 17435, 68, 27999, 31, 204, 305, 407, 1078, 204, 204, 268, 397, 2042, 19, 2741, 329, 508, 2042, 19, 2741, 19, 1803, 13, 9519, 68, 873, 736, 5022, 68, 417, 18311, 204, 305, 407, 1078, 204, 204, 268, 397, 508, 2042, 19, 747, 84, 31, 204, 305, 23176, 289, 7399, 68, 2029, 13, 9519, 68, 873, 736, 5022, 68, 417, 2378, 204, 305, 397, 424, 68, 4332, 13, 11498, 17, 30404, 330, 204, 485, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 1419, 68, 27999, 289, 458, 13, 976, 68, 481, 611, 655, 3063, 204, 264, 397, 508, 2042, 19, 7952, 329, 508, 2042, 19, 1625, 68, 1835, 31, 204, 268, 5530, 289, 30404, 19, 14246, 12394, 204, 268, 1419, 68, 27999, 289, 5634, 19, 3520, 19, 12392, 13, 5000, 789, 2062, 13, 3474, 68, 27999, 14, 204, 264, 348, 12945, 68, 873, 292, 1419, 68, 27999, 31, 204, 268, 397, 508, 906, 17201, 68, 15440, 13, 9519, 68, 873, 330, 204, 305, 3524, 204, 268, 6398, 13, 1038, 17, 12945, 68, 873, 14, 204, 204, 461, 12268, 13, 10656, 31, 783, 64, 5588, 648, 300, 31, 421, 14, 393, 783, 64, 1218, 64, 5588, 2440, 204, 264, 320, 204, 264, 21663, 273, 458, 1025, 12268, 19, 204, 615, 264, 457, 31, 204, 264, 15409, 322, 1218, 64, 5588, 1037, 334, 458, 311, 3404, 19, 204, 264, 300, 322, 339, 330, 334, 5212, 1302, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 1218, 64, 5588, 2440, 334, 458, 302, 12268, 19, 204, 264, 320, 204, 264, 407, 551, 10656, 64, 78, 31, 78, 465, 300, 66, 348, 296, 292, 933, 13, 21, 17, 1245, 13, 10656, 659, 300, 2395, 204, 204, 461, 690, 325, 13, 3450, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8109, 273, 4521, 311, 273, 782, 19, 204, 615, 264, 457, 31, 204, 264, 14018, 322, 339, 330, 334, 4521, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 4521, 448, 273, 782, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 11493, 62, 10, 82, 10, 73, 20406, 45, 10, 50, 10, 56, 491, 690, 19, 37100, 13, 3450, 602, 204, 204, 461, 1489, 325, 13, 3450, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8109, 273, 4521, 311, 273, 1489, 782, 19, 204, 615, 264, 457, 31, 204, 264, 14018, 322, 339, 330, 334, 4521, 19, 204, 615, 264, 475, 31, 204, 264, 394, 31, 334, 1489, 782, 19, 204, 264, 320, 204, 264, 407, 690, 19, 7899, 11493, 62, 5079, 82, 5079, 73, 491, 690, 19, 37100, 13, 3450, 602, 204, 204, 461, 1417, 1709, 13, 3470, 31, 2334, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 437, 726, 292, 273, 12925, 1883, 19, 204, 615, 264, 457, 31, 204, 264, 5026, 322, 5588, 330, 334, 726, 311, 456, 19, 204, 264, 320, 204, 264, 456, 13, 1775, 19, 7362, 13, 3470, 17, 8851, 34, 23, 602, 204, 204, 461, 690, 68, 4266, 13, 4266, 31, 5006, 17, 2042, 31, 783, 64, 5588, 66, 289, 7541, 6416, 31, 1061, 64, 325, 17, 2334, 66, 289, 12881, 393, 2334, 31, 204, 264, 320, 204, 264, 15576, 273, 741, 2428, 19, 204, 615, 264, 457, 31, 204, 264, 6398, 322, 9261, 330, 334, 741, 311, 2428, 19, 204, 264, 2042, 322, 1218, 64, 5588, 1037, 334, 1906, 311, 1879, 311, 275, 741, 19, 1243, 311, 44138, 204, 264, 6416, 322, 1665, 64, 325, 17, 2334, 1037, 334, 4541, 1906, 311, 1879, 311, 275, 741, 19, 1243, 311, 29577, 204, 615, 264, 475, 31, 204, 264, 2334, 31, 334, 722, 302, 275, 741, 2428, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 513, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 13, 75, 7, 13203, 7117, 463, 409, 338, 1012, 98, 3331, 431, 204, 264, 407, 513, 204, 204, 461, 20573, 13, 6169, 31, 818, 17, 424, 31, 783, 64, 996, 694, 393, 818, 31, 204, 264, 320, 204, 264, 3989, 273, 20573, 19, 204, 615, 264, 457, 31, 204, 264, 2847, 322, 996, 330, 334, 20573, 311, 949, 19, 204, 264, 424, 322, 1218, 64, 996, 1037, 334, 424, 311, 949, 275, 20573, 497, 19, 204, 615, 264, 475, 31, 204, 264, 818, 31, 334, 3392, 20573, 19, 204, 264, 320, 204, 264, 2282, 68, 481, 289, 2282, 13, 481, 14, 204, 264, 724, 289, 322, 1796, 13, 5518, 68, 481, 14, 338, 368, 14, 540, 2847, 204, 264, 283, 289, 2821, 19, 11062, 13, 80, 14, 204, 264, 279, 289, 2821, 19, 16304, 13, 80, 14, 204, 264, 397, 283, 564, 279, 31, 204, 268, 407, 2282, 68, 481, 64, 339, 13, 80, 2395, 204, 264, 303, 21, 289, 2282, 68, 481, 64, 339, 13, 75, 2395, 540, 322, 72, 18, 80, 14, 204, 264, 303, 22, 289, 2282, 68, 481, 64, 339, 13, 72, 2395, 540, 322, 80, 18, 75, 14, 204, 264, 407, 303, 21, 16, 73, 22, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1732, 289, 3238, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6261, 13, 2749, 833, 5063, 1265, 534, 204, 264, 2497, 68, 27999, 13, 3766, 17, 379, 2569, 68, 1217, 491, 4464, 2042, 17, 12945, 68, 873, 31, 456, 13, 9519, 68, 873, 602, 204, 0, 10486, 5102, 302, 33296, 322, 53, 19, 49, 19, 18386, 18, 21627, 32, 19736, 29993, 925, 38658, 789, 334, 717, 3938, 30678, 5607, 633, 1308, 273, 3210, 40351, 275, 24686, 6982, 928, 27444, 4680, 329, 24260, 4680, 2979, 1741, 444, 30274, 17, 311, 1308, 273, 2548, 348, 275, 11531, 302, 1702, 27444, 4680, 329, 24260, 4680, 17, 329, 311, 3074, 1702, 3214, 448, 1741, 444, 9029, 311, 7940, 275, 5356, 302, 275, 4070, 543, 329, 11531, 302, 8341, 41162, 329, 47765, 17634, 3343, 204, 6895, 21428, 13704, 1683, 275, 9772, 22705, 26449, 5102, 353, 1305, 7651, 292, 275, 36553, 302, 275, 548, 19, 56, 19, 8955, 302, 275, 38937, 322, 21290, 22, 14, 329, 7306, 560, 27903, 22, 12, 720, 23845, 329, 25301, 8544, 19, 4862, 299, 5035, 329, 19559, 529, 6193, 292, 275, 8756, 302, 16328, 3999, 6402, 17, 13279, 2753, 322, 45986, 8597, 329, 22470, 29321, 659, 14481, 368, 322, 58, 19, 56, 19, 23845, 329, 25301, 8544, 17, 8955, 302, 275, 38937, 659, 3685, 19203, 565, 17, 5565, 3139, 322, 10981, 22705, 329, 45413, 7175, 25301, 329, 32111, 789, 34640, 302, 275, 19559, 17, 2864, 273, 458, 302, 4680, 9003, 6028, 27444, 521, 24260, 17, 618, 444, 8744, 560, 4695, 311, 275, 15792, 302, 9772, 22705, 26449, 17, 548, 19, 56, 19, 8955, 302, 275, 38937, 17, 23845, 329, 25301, 8544, 17, 11248, 17, 15495, 1199, 19620, 19, 0, 531, 1907, 19, 1479, 532, 30251, 204, 531, 1907, 19, 1479, 532, 4391, 204, 204, 461, 838, 68, 1241, 68, 14595, 13, 204, 264, 1656, 68, 1241, 31, 379, 26685, 1160, 2533, 491, 716, 264, 2260, 68, 1241, 31, 379, 26685, 1160, 2533, 491, 716, 264, 3633, 68, 932, 31, 421, 289, 379, 2533, 32289, 19, 6014, 491, 716, 264, 11829, 68, 3858, 31, 1109, 289, 1078, 17, 716, 264, 838, 68, 1772, 19537, 31, 1109, 289, 959, 204, 14, 393, 379, 2533, 32289, 597, 204, 264, 320, 204, 264, 2605, 273, 717, 3633, 1283, 970, 2731, 19, 204, 204, 264, 457, 31, 204, 268, 1656, 68, 1241, 31, 334, 1656, 944, 292, 275, 3633, 19, 204, 268, 2260, 68, 1241, 31, 334, 2260, 944, 292, 275, 3633, 19, 204, 268, 3633, 68, 932, 31, 334, 1187, 302, 3633, 322, 2305, 31, 14239, 789, 204, 268, 11829, 68, 3858, 31, 2266, 311, 11829, 275, 1656, 944, 322, 2305, 31, 1078, 789, 204, 268, 838, 68, 1772, 19537, 31, 2266, 311, 838, 273, 9206, 944, 322, 2305, 31, 959, 789, 204, 204, 264, 475, 31, 204, 268, 334, 9932, 1966, 3633, 19, 204, 204, 264, 1632, 31, 204, 268, 30251, 31, 828, 275, 3633, 2861, 2560, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 3633, 2861, 2560, 204, 268, 314, 4496, 636, 68, 276, 68, 1510, 5976, 302, 636, 311, 4516, 16274, 9609, 2710, 204, 268, 4449, 68, 2024, 17, 1966, 289, 4534, 32289, 19, 2856, 19, 505, 68, 276, 68, 1510, 13, 204, 305, 1656, 68, 1241, 34, 3858, 68, 1241, 17, 716, 305, 2260, 68, 1241, 34, 3619, 68, 1241, 17, 716, 305, 3633, 34, 14595, 68, 932, 17, 204, 305, 19636, 2508, 204, 485, 379, 33446, 68, 3858, 597, 11829, 68, 3858, 204, 305, 1211, 204, 268, 1179, 204, 822, 268, 314, 828, 275, 3633, 867, 508, 1966, 17, 490, 2861, 2560, 204, 268, 397, 508, 1966, 31, 204, 305, 980, 30251, 499, 32289, 2861, 2560, 431, 204, 204, 268, 314, 666, 273, 9206, 944, 397, 1945, 204, 268, 397, 838, 68, 1772, 19537, 31, 204, 305, 838, 68, 1772, 19537, 68, 1241, 13, 14028, 68, 2024, 14, 204, 204, 268, 407, 4449, 68, 2024, 204, 204, 264, 827, 30251, 448, 318, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 3633, 2861, 2560, 204, 268, 980, 30251, 499, 32289, 2861, 2560, 431, 497, 318, 204, 204, 204, 461, 838, 68, 1772, 19537, 68, 1241, 13, 14595, 31, 379, 2533, 32289, 534, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 9206, 944, 348, 273, 800, 3633, 19, 204, 204, 264, 457, 31, 204, 268, 3633, 31, 334, 3633, 348, 928, 311, 838, 273, 9206, 944, 19, 204, 264, 320, 204, 264, 314, 35956, 944, 5247, 3975, 9211, 3237, 204, 264, 1879, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 647, 17373, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 1498, 532, 1061, 17, 2334, 204, 204, 8, 968, 3454, 348, 12237, 299, 1094, 329, 19981, 204, 8087, 55, 2267, 12021, 68, 40582, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 21192, 289, 10175, 13, 3282, 17, 379, 8087, 55, 2267, 12021, 68, 40582, 491, 12881, 204, 8087, 55, 7467, 68, 43641, 31, 1061, 64, 325, 17, 2334, 66, 289, 10175, 13, 3282, 17, 379, 8087, 55, 7467, 68, 43641, 491, 12881, 204, 204, 461, 532, 68, 809, 13, 809, 68, 546, 31, 394, 14, 393, 1187, 31, 204, 264, 320, 204, 264, 4390, 273, 570, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 546, 322, 325, 330, 334, 832, 311, 275, 570, 322, 74, 19, 76, 2458, 379, 748, 19, 1618, 19, 1655, 2687, 534, 204, 204, 264, 475, 31, 204, 268, 1187, 31, 334, 15846, 570, 850, 204, 204, 264, 1632, 31, 204, 268, 16581, 31, 828, 275, 570, 2950, 444, 15846, 204, 268, 13289, 31, 828, 275, 570, 1583, 508, 1337, 292, 275, 2413, 204, 264, 320, 204, 264, 314, 3736, 275, 570, 832, 1025, 2413, 329, 570, 1987, 204, 264, 2413, 68, 546, 17, 570, 68, 417, 289, 570, 68, 546, 19, 33800, 28408, 368, 14, 204, 615, 264, 314, 4390, 275, 2413, 204, 264, 810, 31, 204, 268, 2413, 289, 17373, 19, 647, 68, 3909, 13, 3909, 68, 546, 14, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 980, 16581, 13, 75, 7, 3504, 311, 532, 2413, 3318, 3909, 68, 546, 14800, 463, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 74, 743, 204, 615, 264, 314, 763, 275, 570, 497, 275, 2413, 204, 264, 810, 31, 204, 268, 407, 10175, 13, 3909, 17, 570, 68, 417, 14, 204, 264, 827, 13289, 31, 204, 268, 980, 13289, 13, 75, 7, 1655, 3318, 809, 68, 417, 2867, 508, 1193, 292, 2413, 3318, 3909, 68, 546, 15049, 204, 204, 461, 636, 68, 2819, 13, 1479, 68, 417, 31, 394, 14, 393, 2334, 31, 204, 264, 320, 204, 264, 763, 273, 1104, 497, 275, 502, 9481, 7467, 68, 43641, 5465, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 204, 204, 264, 475, 31, 204, 268, 2334, 31, 334, 1104, 726, 204, 204, 264, 1632, 31, 204, 268, 7323, 31, 828, 275, 1104, 353, 508, 1193, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1104, 2560, 292, 275, 502, 9481, 7467, 68, 43641, 204, 264, 397, 1863, 68, 417, 508, 292, 502, 9481, 7467, 68, 43641, 31, 204, 268, 980, 7323, 13, 75, 7, 7073, 3318, 1479, 68, 417, 2867, 508, 1193, 431, 204, 615, 264, 314, 455, 275, 1104, 726, 204, 264, 407, 502, 9481, 7467, 68, 43641, 64, 1479, 68, 417, 66, 204, 204, 461, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 31, 1187, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 2440, 204, 264, 320, 204, 264, 763, 275, 1104, 2914, 348, 273, 800, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 932, 330, 334, 570, 850, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 1061, 64, 325, 17, 2334, 2440, 334, 1104, 2914, 348, 275, 570, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 502, 9481, 2267, 12021, 68, 40582, 311, 1020, 275, 570, 204, 264, 348, 570, 68, 546, 17, 1863, 68, 4018, 292, 502, 9481, 2267, 12021, 68, 40582, 19, 1996, 1293, 204, 268, 314, 4390, 275, 570, 497, 275, 832, 204, 268, 570, 68, 676, 289, 532, 68, 809, 13, 809, 68, 546, 14, 204, 822, 268, 314, 778, 397, 275, 570, 4083, 275, 800, 570, 204, 268, 397, 570, 68, 676, 564, 570, 31, 204, 305, 314, 455, 275, 1104, 2914, 348, 275, 570, 204, 305, 407, 1863, 68, 4018, 204, 615, 264, 314, 455, 437, 1392, 955, 397, 275, 570, 353, 508, 1193, 204, 264, 407, 2087, 204, 204, 461, 636, 68, 6182, 13, 1648, 31, 726, 17, 1863, 68, 417, 31, 394, 17, 4248, 68, 417, 31, 394, 14, 393, 2334, 31, 204, 264, 320, 204, 264, 763, 437, 4248, 348, 273, 800, 1014, 17, 1104, 17, 329, 4248, 588, 19, 204, 204, 264, 457, 31, 204, 268, 1014, 322, 1386, 330, 334, 1014, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 204, 268, 4248, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4248, 204, 204, 264, 475, 31, 204, 268, 2334, 31, 334, 4248, 700, 17, 521, 443, 397, 508, 1193, 204, 264, 320, 204, 264, 314, 763, 275, 570, 850, 302, 275, 1014, 204, 264, 570, 289, 1014, 3925, 676, 367, 204, 615, 264, 314, 763, 275, 1104, 2914, 348, 275, 570, 204, 264, 1863, 68, 4018, 289, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 14, 204, 615, 264, 314, 778, 397, 275, 1104, 329, 4248, 1337, 292, 275, 2914, 204, 264, 397, 1863, 68, 417, 292, 1863, 68, 4018, 329, 4248, 68, 417, 292, 1863, 68, 4018, 64, 1479, 68, 417, 744, 204, 268, 314, 455, 275, 4248, 700, 204, 268, 407, 1863, 68, 4018, 64, 1479, 68, 417, 1799, 6182, 68, 417, 66, 204, 615, 264, 314, 455, 443, 397, 275, 4248, 353, 508, 1193, 204, 264, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 273, 570, 832, 204, 264, 570, 68, 546, 289, 388, 748, 19, 1618, 19, 1655, 2687, 7, 204, 615, 264, 314, 4390, 275, 570, 204, 264, 570, 289, 532, 68, 809, 13, 809, 68, 546, 14, 204, 615, 264, 314, 763, 275, 1104, 2914, 348, 275, 570, 204, 264, 1863, 68, 4018, 289, 636, 68, 809, 68, 2819, 68, 4018, 13, 809, 14, 204, 615, 264, 314, 1198, 275, 1104, 2914, 204, 264, 456, 13, 1479, 68, 4018, 14, 204, 615, 264, 314, 968, 437, 1014, 302, 275, 570, 204, 264, 1014, 289, 570, 374, 204, 615, 264, 314, 763, 437, 4248, 348, 275, 1014, 204, 264, 4248, 289, 636, 68, 6182, 13, 1648, 17, 388, 1479, 68, 417, 528, 388, 6182, 68, 417, 431, 204, 615, 264, 314, 1198, 275, 4248, 700, 204, 264, 456, 13, 6182, 14, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 8955, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 8269, 292, 275, 12347, 19, 204, 615, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8269, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 8269, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 2342, 289, 1094, 19, 7320, 374, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 676, 10903, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3200, 292, 275, 12347, 19, 204, 615, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3200, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 3200, 19, 204, 268, 8269, 322, 25407, 330, 334, 8269, 496, 11138, 275, 3200, 19, 204, 264, 320, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 14, 204, 264, 2342, 289, 1094, 19, 7320, 374, 204, 264, 8269, 289, 1094, 19, 4483, 13, 25407, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 12583, 534, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 417, 204, 204, 8, 1165, 1265, 31, 204, 461, 838, 68, 15114, 13, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 417, 31, 394, 17, 2342, 31, 394, 14, 393, 8955, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 8269, 19, 204, 615, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8269, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 8269, 19, 204, 615, 264, 475, 31, 204, 268, 8955, 31, 334, 9932, 1966, 8269, 19, 204, 264, 320, 204, 264, 407, 8955, 19, 2856, 19, 1510, 13, 417, 34, 417, 17, 2342, 34, 2749, 14, 204, 204, 461, 838, 68, 6270, 13, 417, 31, 394, 17, 2342, 31, 394, 17, 8269, 31, 8955, 14, 393, 10903, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 3200, 19, 204, 615, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 3200, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 3200, 19, 204, 268, 8269, 322, 25407, 330, 334, 8269, 496, 11138, 275, 3200, 19, 204, 615, 264, 475, 31, 204, 268, 10903, 31, 334, 9932, 1966, 3200, 19, 204, 264, 320, 204, 264, 407, 10903, 19, 2856, 19, 1510, 13, 417, 34, 417, 17, 2342, 34, 2749, 17, 8269, 34, 15114, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 8269, 204, 264, 8269, 289, 838, 68, 15114, 499, 21885, 8134, 528, 388, 673, 5431, 6218, 8269, 1280, 204, 615, 264, 314, 666, 717, 9442, 204, 264, 3200, 22, 289, 838, 68, 6270, 499, 21867, 311, 23456, 528, 388, 2021, 11856, 311, 7786, 3200, 7729, 8269, 14, 204, 264, 3200, 23, 289, 838, 68, 6270, 499, 989, 15867, 981, 329, 36451, 528, 388, 38, 3200, 523, 424, 9901, 329, 11619, 7729, 8269, 14, 204, 615, 264, 314, 1198, 275, 8269, 329, 1163, 9442, 204, 264, 456, 13, 15114, 19, 417, 14, 204, 264, 348, 3200, 292, 8269, 19, 12583, 19, 668, 1293, 204, 268, 456, 13, 6270, 19, 417, 14, 204, 0, 38, 832, 720, 82, 6592, 6944, 4558, 275, 6204, 302, 273, 2415, 13979, 440, 273, 1653, 1277, 302, 1607, 82, 19, 2416, 1020, 275, 1864, 302, 275, 832, 17, 572, 1043, 1519, 311, 1020, 275, 1864, 302, 275, 5406, 2415, 6204, 275, 13979, 19, 204, 204, 673, 1653, 1277, 302, 275, 5406, 2415, 353, 275, 1653, 1277, 302, 275, 16599, 2415, 13576, 8697, 275, 2198, 302, 275, 832, 31, 204, 34, 1607, 82, 338, 435, 13, 26, 82, 14, 204, 34, 1607, 82, 338, 931, 82, 204, 34, 4950, 82, 204, 204, 673, 1864, 302, 275, 832, 353, 275, 2712, 1283, 275, 1864, 302, 275, 16599, 2415, 329, 275, 1864, 302, 275, 5406, 2415, 31, 204, 8928, 302, 275, 832, 289, 322, 2051, 82, 14, 3231, 338, 322, 3276, 82, 14, 3231, 204, 34, 10850, 82, 3231, 338, 1132, 2051, 82, 3231, 204, 34, 22063, 82, 3231, 204, 204, 1449, 1020, 275, 2264, 302, 28116, 299, 275, 832, 630, 273, 2233, 302, 7613, 10835, 841, 931, 82, 3231, 17, 572, 1043, 1519, 311, 1020, 685, 1662, 1910, 3416, 302, 931, 82, 3231, 529, 292, 22063, 82, 3231, 31, 204, 38134, 82, 3231, 802, 931, 82, 3231, 289, 27961, 204, 204, 9538, 17, 572, 4122, 275, 542, 302, 3416, 560, 275, 2264, 841, 758, 31, 204, 17978, 302, 28116, 299, 289, 27961, 610, 7613, 10835, 204, 34, 7613, 681, 3534, 473, 0, 658, 29083, 37182, 204, 204, 673, 12652, 5514, 17, 3667, 13018, 311, 448, 388, 83, 5710, 724, 528, 353, 3392, 448, 31, 204, 204, 4292, 1479, 266, 509, 96, 83, 1134, 80, 98, 289, 688, 8151, 96, 83, 40570, 80, 32582, 83, 18, 80, 13664, 1617, 204, 204, 3663, 686, 83, 6, 9, 4504, 275, 8736, 302, 686, 83, 2543, 928, 353, 275, 1351, 302, 830, 2140, 1892, 719, 311, 686, 83, 2176, 204, 204, 1380, 9134, 204, 204, 22, 19, 930, 1571, 84, 10176, 435, 497, 720, 1416, 226, 204, 4292, 1479, 266, 509, 96, 26, 1134, 23, 98, 289, 688, 8151, 96, 26, 40570, 23, 32582, 26, 18, 23, 13664, 98, 289, 688, 8151, 96, 26, 688, 2760, 681, 1134, 23, 688, 2760, 368, 98, 289, 931, 9, 204, 204, 23, 19, 930, 1571, 84, 10176, 720, 497, 435, 1416, 226, 204, 4592, 872, 618, 2964, 5710, 720, 2696, 497, 273, 758, 302, 435, 17, 1743, 1479, 266, 509, 96, 23, 1134, 26, 98, 289, 500, 2176, 204, 204, 24, 19, 930, 1571, 84, 10176, 435, 497, 338, 26, 1416, 226, 204, 1834, 353, 508, 273, 2599, 12652, 5514, 4183, 2404, 275, 2089, 8978, 13456, 311, 1950, 18, 4721, 1892, 19, 3355, 17, 292, 1429, 18655, 17, 490, 4230, 444, 24190, 974, 275, 2089, 348, 2917, 886, 17, 1101, 808, 353, 1182, 11772, 329, 508, 8978, 9811, 292, 4802, 33804, 1154, 19, 204, 204, 25, 19, 930, 1571, 84, 10176, 720, 497, 338, 23, 1416, 226, 204, 16525, 311, 275, 3090, 1763, 17, 808, 1583, 508, 4185, 275, 2599, 1650, 302, 12652, 5692, 19, 204, 204, 26, 19, 930, 1571, 84, 10176, 571, 497, 1168, 1416, 226, 204, 4292, 1479, 266, 509, 96, 28, 1134, 24, 98, 289, 688, 8151, 96, 28, 40570, 24, 32582, 28, 18, 24, 13664, 98, 289, 688, 8151, 96, 28, 688, 2760, 887, 688, 2760, 720, 1134, 24, 688, 2760, 435, 688, 2760, 368, 98, 289, 5924, 9, 204, 204, 27, 19, 930, 1571, 84, 10176, 571, 497, 1132, 1416, 226, 204, 4292, 1479, 266, 509, 96, 29, 1134, 24, 98, 289, 688, 8151, 96, 29, 40570, 24, 32582, 29, 18, 24, 13664, 98, 289, 688, 8151, 96, 29, 688, 2760, 1168, 688, 2760, 887, 1134, 24, 688, 2760, 435, 688, 2760, 368, 98, 289, 10610, 9, 204, 204, 28, 19, 930, 1571, 84, 10176, 681, 497, 10691, 322, 7735, 292, 273, 7667, 12541, 226, 204, 4292, 1479, 266, 509, 96, 8532, 1134, 25, 98, 289, 688, 8151, 96, 8532, 40570, 25, 32582, 8532, 18, 25, 13664, 98, 289, 688, 8151, 96, 8532, 688, 2760, 13316, 688, 2760, 2753, 688, 2760, 10516, 1134, 25, 688, 2760, 571, 688, 2760, 435, 688, 2760, 368, 98, 289, 18534, 17, 28, 1511, 9, 204, 204, 29, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 930, 4290, 302, 24291, 4508, 88, 1416, 226, 204, 3070, 273, 7667, 302, 10691, 5682, 17, 16080, 2989, 5682, 348, 273, 1922, 4658, 31, 204, 9, 51, 289, 688, 1479, 266, 509, 96, 8532, 1134, 2353, 98, 289, 688, 8151, 96, 8532, 40570, 2353, 32582, 8532, 18, 2353, 13664, 98, 289, 688, 8151, 96, 8532, 40570, 2353, 6, 6221, 29121, 289, 887, 4049, 17, 44732, 17, 4656, 30, 17, 9913, 9, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 531, 589, 8991, 367, 532, 15185, 68, 17625, 204, 204, 531, 1907, 19, 1479, 532, 1094, 17, 6447, 204, 531, 1907, 19, 4120, 532, 2557, 204, 647, 1034, 19, 3939, 204, 204, 676, 14501, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 666, 275, 9461, 17, 8953, 17, 329, 9582, 9070, 1094, 440, 1017, 3610, 2357, 19, 204, 264, 320, 204, 264, 6127, 289, 551, 204, 268, 6447, 19, 8057, 748, 578, 68, 19124, 13, 3282, 19, 10475, 68, 6520, 68, 9534, 659, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 968, 275, 9461, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 13528, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 3062, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 13279, 302, 275, 3062, 204, 485, 2448, 1778, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 3917, 204, 485, 314, 17993, 302, 275, 3062, 204, 485, 2448, 7111, 491, 1094, 19, 7320, 13, 8436, 34, 1021, 17, 846, 68, 1205, 34, 7077, 17, 3749, 34, 1021, 3917, 204, 485, 314, 15082, 811, 348, 275, 3062, 322, 5293, 292, 5448, 14, 204, 485, 2448, 8420, 491, 1094, 19, 29752, 13, 41829, 34, 1975, 3917, 204, 485, 314, 6547, 1666, 302, 275, 3062, 204, 485, 2448, 5982, 68, 492, 491, 1034, 19, 3939, 19, 5141, 756, 33573, 7320, 10206, 204, 485, 314, 7300, 275, 3062, 867, 1966, 204, 485, 2448, 5903, 68, 672, 491, 1094, 19, 12860, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 485, 314, 3682, 275, 3062, 867, 1966, 204, 485, 2448, 5903, 68, 834, 491, 1094, 19, 43244, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 485, 314, 7300, 329, 690, 275, 3062, 867, 1673, 2908, 204, 485, 2448, 8107, 491, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 3917, 204, 485, 314, 3207, 3610, 440, 275, 3062, 204, 485, 2448, 5982, 68, 935, 491, 1094, 19, 12043, 13, 8436, 34, 1021, 17, 5991, 68, 633, 833, 7577, 20, 5982, 68, 427, 35233, 491, 204, 45698, 1340, 68, 492, 833, 38, 2637, 7157, 1376, 292, 275, 4240, 4182, 491, 3749, 34, 1021, 3917, 204, 485, 314, 10784, 302, 275, 3062, 204, 485, 2448, 4020, 491, 1094, 19, 4483, 13, 633, 34, 3282, 19, 10475, 68, 6520, 68, 9534, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 5868, 7192, 560, 5247, 1489, 329, 690, 204, 485, 379, 25554, 597, 29690, 5903, 68, 672, 491, 6159, 5903, 68, 834, 2043, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 968, 275, 8953, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 7627, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 2851, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 4014, 302, 275, 2851, 204, 485, 2448, 417, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2051, 17, 2220, 34, 1021, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 5868, 5981, 560, 588, 204, 485, 379, 25554, 597, 2470, 417, 2043, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 968, 275, 9582, 9070, 570, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 17872, 9070, 491, 204, 305, 2357, 3603, 204, 485, 314, 6581, 4634, 348, 275, 4240, 2557, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 7952, 68, 417, 833, 1701, 491, 6545, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 3917, 204, 485, 314, 18064, 5850, 3855, 4240, 2557, 529, 758, 719, 204, 485, 2448, 360, 68, 5666, 491, 1094, 19, 10030, 13, 2305, 34, 1975, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 379, 20433, 597, 1078, 17, 204, 305, 4752, 204, 268, 5334, 204, 822, 268, 314, 1255, 273, 8624, 12476, 1242, 311, 275, 9461, 570, 348, 5981, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 833, 5982, 491, 204, 305, 588, 833, 7983, 491, 204, 305, 1242, 34, 1618, 19, 13243, 13, 8436, 34, 1021, 17, 311, 833, 7577, 19, 7627, 2008, 204, 305, 17195, 68, 2305, 34, 1021, 17, 204, 268, 5334, 204, 822, 268, 314, 1255, 273, 2220, 6120, 311, 275, 9461, 570, 348, 7286, 329, 5247, 1489, 204, 268, 6447, 19, 17954, 20771, 1449, 4025, 13, 204, 305, 588, 833, 5982, 491, 204, 305, 2220, 68, 18356, 2508, 611, 8420, 491, 379, 5903, 68, 672, 47823, 204, 268, 5334, 204, 264, 2437, 204, 0, 315, 204, 1834, 2413, 4504, 273, 3277, 14050, 783, 1650, 974, 3017, 329, 10130, 19, 204, 3837, 3629, 7800, 311, 838, 17, 1151, 17, 1395, 329, 4032, 4625, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 17, 1779, 68, 1538, 17, 824, 17, 4123, 204, 531, 4433, 68, 18080, 532, 10130, 204, 531, 1804, 532, 1804, 204, 647, 1361, 204, 204, 8, 666, 273, 3017, 1650, 1014, 204, 748, 289, 3017, 3843, 417, 4422, 204, 748, 19, 1087, 736, 18502, 68, 9326, 68, 12450, 839, 289, 379, 9853, 20304, 6381, 19, 1479, 12, 204, 748, 19, 1087, 736, 18502, 68, 22600, 68, 30813, 839, 289, 1078, 226, 314, 20786, 8557, 13575, 204, 204, 8, 666, 273, 10130, 1014, 204, 1479, 289, 10130, 13, 748, 14, 204, 204, 8, 968, 273, 14050, 570, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 676, 14050, 13, 1479, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 11667, 1184, 19, 204, 615, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1781, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 1781, 19, 204, 268, 1966, 322, 2664, 330, 334, 1489, 329, 690, 275, 1781, 867, 1966, 19, 204, 264, 320, 204, 264, 1276, 289, 1863, 19, 4690, 13, 1479, 19, 3937, 17, 4408, 68, 644, 34, 1021, 14, 204, 264, 1666, 289, 1863, 19, 4690, 13, 1479, 19, 4269, 13, 2825, 659, 5943, 34, 1975, 14, 204, 264, 1966, 289, 1863, 19, 4690, 13, 1479, 19, 5691, 17, 1540, 34, 2664, 19, 17226, 14, 204, 615, 264, 436, 589, 6843, 889, 327, 330, 204, 268, 407, 283, 16716, 7289, 463, 327, 19, 359, 38958, 204, 204, 8, 968, 273, 741, 311, 3686, 830, 4625, 497, 275, 1104, 204, 461, 636, 68, 668, 68, 6381, 374, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 830, 4625, 497, 275, 1104, 17, 8783, 560, 5247, 1489, 19, 204, 615, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 14050, 2828, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 830, 4625, 17, 8783, 560, 5247, 1489, 204, 264, 407, 14050, 19, 2120, 19, 1115, 68, 1424, 13, 34288, 19, 5903, 789, 668, 374, 204, 204, 8, 968, 273, 741, 311, 838, 273, 717, 1781, 204, 461, 838, 68, 2607, 13, 2387, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 1781, 440, 275, 800, 1666, 19, 204, 615, 264, 457, 31, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 1781, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 14050, 726, 204, 264, 1781, 289, 14050, 13, 2387, 34, 2387, 14, 204, 264, 810, 31, 204, 268, 314, 1255, 275, 1781, 311, 275, 1104, 2067, 204, 268, 1863, 19, 2488, 19, 826, 13, 2607, 14, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 838, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 741, 311, 4032, 273, 1781, 204, 461, 4032, 68, 2607, 13, 359, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 11183, 273, 1781, 440, 275, 800, 1222, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 4032, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 275, 1781, 440, 275, 800, 1222, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 810, 31, 204, 268, 314, 6117, 275, 1781, 497, 275, 1104, 2067, 204, 268, 1863, 19, 2488, 19, 2756, 13, 2607, 14, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 4032, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 741, 311, 1395, 273, 1781, 204, 461, 1395, 68, 2607, 13, 359, 31, 421, 17, 1666, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5307, 273, 1781, 440, 275, 800, 1222, 329, 1666, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 1395, 19, 204, 268, 1666, 322, 325, 330, 334, 717, 1666, 302, 275, 1781, 19, 204, 264, 320, 204, 264, 314, 6864, 275, 1104, 348, 275, 1781, 440, 275, 800, 1222, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 314, 1716, 275, 1781, 677, 1666, 204, 264, 1781, 19, 2387, 289, 1666, 204, 264, 810, 31, 204, 268, 314, 8588, 275, 3731, 204, 268, 1863, 19, 2488, 19, 4827, 374, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 204, 268, 1361, 19, 718, 13, 75, 12, 3504, 311, 1395, 1781, 31, 463, 74, 3501, 204, 204, 8, 968, 273, 5143, 348, 275, 1112, 1472, 204, 37, 748, 19, 3955, 22403, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 461, 1112, 1293, 204, 264, 320, 204, 264, 5133, 4559, 329, 6379, 2164, 348, 275, 1112, 1472, 19, 204, 615, 264, 475, 31, 204, 268, 332, 5703, 2399, 348, 275, 1112, 1472, 17, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 763, 275, 1666, 302, 275, 717, 1781, 497, 275, 798, 424, 204, 268, 1666, 289, 824, 19, 654, 736, 2387, 839, 204, 268, 314, 666, 273, 717, 1781, 204, 268, 838, 68, 2607, 13, 2387, 14, 204, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 12394, 204, 264, 902, 31, 204, 268, 314, 763, 830, 4625, 497, 275, 1104, 204, 268, 4625, 289, 636, 68, 668, 68, 6381, 374, 204, 268, 314, 4784, 275, 1112, 2399, 440, 275, 4625, 204, 268, 407, 2111, 68, 3143, 611, 998, 19, 2079, 491, 4625, 34, 6381, 14, 204, 204, 8, 968, 273, 5143, 348, 12629, 273, 1781, 204, 37, 748, 19, 3955, 4195, 2756, 8121, 339, 31, 359, 16906, 204, 461, 4032, 13, 359, 31, 421, 330, 204, 264, 320, 204, 264, 11183, 273, 1781, 440, 275, 800, 1222, 329, 24741, 311, 275, 1112, 1472, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 4032, 19, 204, 615, 264, 475, 31, 204, 268, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 6117, 275, 1781, 204, 264, 4032, 68, 2607, 13, 359, 14, 204, 264, 314, 10693, 311, 275, 1112, 1472, 204, 264, 407, 4123, 12394, 204, 204, 8, 968, 273, 5143, 348, 9683, 273, 1781, 204, 37, 748, 19, 3955, 4195, 2045, 8121, 339, 31, 359, 12560, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 461, 1395, 13, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 359, 31, 421, 330, 204, 264, 320, 204, 264, 5307, 273, 1781, 440, 275, 800, 1222, 19, 204, 615, 264, 457, 31, 204, 268, 1276, 322, 339, 330, 334, 1222, 302, 275, 1781, 311, 1395, 19, 204, 615, 264, 475, 31, 204, 268, 332, 5703, 2399, 348, 275, 1395, 1472, 17, 521, 273, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1781, 497, 275, 1104, 204, 264, 1781, 289, 14050, 19, 2120, 19, 505, 68, 276, 68, 7793, 13, 359, 14, 204, 264, 397, 824, 19, 1939, 564, 379, 4252, 597, 204, 268, 314, 763, 275, 717, 1666, 302, 275, 1781, 497, 275, 798, 424, 204, 268, 1666, 289, 824, 19, 654, 736, 2387, 839, 204, 268, 314, 1716, 275, 1781, 204, 268, 1395, 68, 2607, 13, 359, 17, 1666, 14, 204, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 12394, 204, 264, 902, 31, 204, 268, 314, 4784, 275, 1395, 2399, 440, 275, 1781, 204, 268, 407, 2111, 68, 3143, 611, 2045, 19, 2079, 491, 1781, 34, 2607, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 275, 1104, 5630, 204, 264, 440, 740, 19, 748, 68, 3348, 1293, 204, 268, 1863, 19, 1510, 68, 668, 374, 204, 264, 314, 2466, 275, 1650, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 647, 1400, 204, 531, 1498, 532, 1884, 204, 204, 676, 19081, 31, 204, 264, 436, 589, 924, 889, 327, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 17, 5343, 68, 932, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 19081, 726, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 5343, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 5343, 19, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 5343, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 5343, 19, 204, 305, 5343, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 5343, 19, 204, 268, 320, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 268, 370, 19, 835, 68, 93, 289, 1302, 68, 93, 204, 268, 370, 19, 835, 68, 94, 289, 1302, 68, 94, 204, 268, 370, 19, 16058, 68, 932, 289, 5343, 68, 932, 204, 204, 264, 436, 838, 68, 16058, 13, 327, 17, 7959, 330, 204, 268, 320, 204, 268, 666, 275, 5343, 523, 275, 7959, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 5343, 523, 19, 204, 268, 320, 204, 268, 314, 2069, 27152, 2355, 302, 275, 5343, 204, 268, 397, 370, 19, 16058, 68, 932, 564, 388, 10255, 559, 204, 305, 314, 4456, 6942, 5343, 204, 305, 1879, 204, 268, 1677, 370, 19, 16058, 68, 932, 564, 388, 9335, 559, 204, 305, 314, 4456, 6297, 5343, 204, 305, 1879, 204, 204, 204, 676, 8187, 6574, 31, 204, 264, 436, 589, 924, 889, 327, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 330, 204, 268, 320, 204, 268, 977, 273, 8187, 6574, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 3226, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 3226, 19, 204, 268, 320, 204, 268, 370, 19, 835, 68, 93, 289, 1302, 68, 93, 204, 268, 370, 19, 835, 68, 94, 289, 1302, 68, 94, 204, 204, 264, 436, 4522, 68, 2816, 13, 327, 17, 5343, 31, 19081, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 1422, 353, 2817, 348, 275, 5343, 19, 204, 204, 268, 457, 31, 204, 305, 5343, 322, 26966, 330, 334, 5343, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 1422, 353, 2817, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 4862, 2817, 7151, 3975, 3237, 204, 268, 1879, 204, 204, 264, 436, 1900, 68, 16058, 13, 327, 17, 7959, 17, 610, 31, 421, 17, 469, 31, 421, 17, 1302, 68, 93, 31, 421, 17, 1302, 68, 94, 31, 421, 17, 5343, 68, 932, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2069, 273, 5343, 630, 275, 1713, 2852, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 5343, 523, 19, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 5343, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 5343, 19, 204, 305, 1302, 68, 93, 322, 339, 330, 334, 2198, 302, 275, 5343, 19, 204, 305, 1302, 68, 94, 322, 339, 330, 334, 1853, 302, 275, 5343, 19, 204, 305, 5343, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 5343, 19, 204, 268, 320, 204, 268, 5343, 289, 19081, 13, 93, 17, 469, 17, 1302, 68, 93, 17, 1302, 68, 94, 17, 5343, 68, 932, 14, 204, 268, 397, 370, 19, 11283, 68, 2816, 13, 16058, 330, 204, 305, 5343, 19, 1510, 68, 16058, 13, 9426, 14, 204, 204, 264, 436, 1400, 68, 4776, 13, 327, 17, 7959, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20328, 1900, 11773, 292, 275, 3226, 19, 204, 204, 268, 457, 31, 204, 305, 7959, 31, 334, 7959, 311, 2790, 275, 11773, 523, 19, 204, 268, 320, 204, 268, 314, 968, 5343, 7539, 329, 1017, 3310, 10207, 204, 268, 5343, 68, 7516, 289, 551, 204, 305, 2832, 835, 559, 322, 23, 17, 571, 659, 388, 2307, 559, 322, 23, 17, 571, 15740, 226, 314, 22759, 11773, 204, 305, 2832, 835, 559, 322, 22, 17, 435, 659, 388, 2307, 559, 322, 22, 17, 435, 15740, 226, 314, 40704, 11773, 204, 305, 2832, 835, 559, 322, 22, 17, 368, 659, 388, 2307, 559, 322, 22, 17, 368, 4150, 262, 314, 19463, 11773, 204, 268, 2437, 204, 204, 268, 314, 2069, 11773, 302, 848, 1302, 204, 268, 348, 5343, 68, 835, 292, 5343, 68, 7516, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 305, 348, 296, 292, 933, 13, 327, 19, 835, 68, 93, 338, 435, 330, 204, 485, 348, 781, 292, 933, 13, 327, 19, 835, 68, 94, 338, 435, 330, 204, 895, 13389, 68, 835, 68, 93, 289, 1400, 19, 5574, 13, 16058, 68, 835, 1166, 835, 10895, 21, 648, 5343, 68, 835, 1166, 835, 10895, 22, 694, 204, 895, 13389, 68, 835, 68, 94, 289, 1400, 19, 5574, 13, 16058, 68, 835, 1166, 835, 10895, 21, 648, 5343, 68, 835, 1166, 835, 10895, 22, 694, 204, 895, 370, 19, 4776, 68, 16058, 13, 9426, 17, 296, 17, 781, 17, 13389, 68, 835, 68, 93, 17, 13389, 68, 835, 68, 94, 17, 388, 10255, 431, 204, 204, 204, 8, 1165, 1265, 31, 204, 5419, 68, 5404, 289, 8187, 6574, 13, 1003, 17, 931, 14, 204, 5419, 68, 5404, 19, 2017, 68, 4776, 13, 3170, 14, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 7260, 275, 2089, 4331, 204, 673, 1844, 12692, 348, 275, 1759, 27466, 3332, 273, 9951, 28171, 440, 273, 800, 8035, 19, 2416, 1020, 808, 1759, 17, 572, 1519, 311, 949, 275, 12691, 302, 275, 3620, 19, 334, 2089, 348, 275, 12691, 353, 346, 289, 5780, 73, 17, 1273, 346, 353, 275, 12691, 329, 303, 353, 275, 8035, 19, 4682, 572, 7188, 10571, 311, 732, 5436, 20, 28, 448, 437, 14241, 348, 5780, 17, 275, 2089, 6401, 346, 289, 322, 2898, 20, 28, 14, 73, 19, 204, 204, 658, 1687, 435, 31, 16641, 275, 800, 8035, 1025, 275, 2089, 204, 4377, 496, 275, 8035, 322, 73, 14, 302, 275, 28171, 353, 48722, 5301, 17, 572, 8776, 808, 700, 1025, 2077, 2089, 31, 346, 289, 322, 2898, 20, 28, 8787, 44678, 19, 204, 204, 658, 1687, 571, 31, 3055, 275, 4183, 204, 1449, 949, 275, 12691, 17, 572, 4122, 5436, 560, 48722, 329, 1675, 3281, 275, 722, 560, 1168, 31, 322, 2898, 15, 44678, 4061, 28, 19, 204, 204, 658, 1687, 681, 31, 888, 275, 7145, 1043, 204, 2898, 540, 48722, 289, 1916, 17, 28515, 19, 204, 204, 658, 1687, 720, 31, 10164, 560, 1168, 311, 1020, 275, 12691, 204, 2132, 17, 28515, 802, 1168, 289, 435, 17, 24983, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 4635, 2169, 1617, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 26945, 68, 42487, 19, 46177, 24, 73, 532, 31465, 24, 41, 204, 204, 461, 838, 68, 24, 73, 68, 10836, 68, 1657, 13, 93, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 469, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 1264, 68, 2307, 31, 927, 64, 996, 17, 818, 694, 393, 1513, 19, 16571, 31, 204, 264, 320, 204, 264, 2605, 273, 571, 41, 1807, 302, 6699, 15220, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 610, 2992, 19, 204, 268, 469, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 469, 2992, 19, 204, 268, 1264, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 1264, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 16571, 31, 334, 571, 41, 21620, 3138, 19, 204, 264, 320, 204, 264, 314, 666, 273, 41891, 302, 610, 329, 469, 2992, 204, 264, 610, 68, 8190, 289, 645, 19, 11391, 13, 93, 68, 2307, 64, 21, 648, 610, 68, 2307, 64, 22, 648, 1607, 14, 204, 264, 469, 68, 8190, 289, 645, 19, 11391, 13, 94, 68, 2307, 64, 21, 648, 469, 68, 2307, 64, 22, 648, 1607, 14, 204, 264, 1504, 17, 1358, 289, 645, 19, 28857, 13, 93, 68, 8190, 17, 469, 68, 8190, 14, 204, 204, 264, 314, 968, 275, 2747, 2992, 204, 264, 2747, 289, 645, 19, 3535, 68, 4995, 13, 61, 14, 204, 204, 264, 314, 666, 273, 571, 41, 21620, 204, 264, 1711, 289, 1513, 19, 14196, 13, 14362, 17, 11115, 833, 24, 73, 534, 204, 204, 264, 314, 3045, 275, 6699, 15220, 204, 264, 314, 6319, 31, 47831, 275, 15220, 440, 1792, 42211, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 1358, 17, 2747, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 368, 31, 1504, 18, 62, 6258, 440, 2747, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 1358, 17, 338, 63, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 435, 31, 1504, 18, 62, 6258, 440, 2747, 8981, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 2747, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 571, 31, 1504, 18, 63, 6258, 440, 1358, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 61, 17, 338, 63, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 681, 31, 1504, 18, 63, 6258, 440, 1358, 8981, 22, 204, 264, 1711, 19, 1657, 68, 10836, 13, 63, 17, 1504, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 720, 31, 2747, 18, 61, 6258, 440, 1358, 34, 22, 204, 264, 1711, 19, 1657, 68, 10836, 2422, 63, 17, 1504, 17, 1358, 17, 5405, 34, 21, 19, 28, 14, 226, 314, 15415, 887, 31, 2747, 18, 61, 6258, 440, 1358, 8981, 22, 204, 204, 264, 407, 1711, 204, 204, 461, 758, 68, 1657, 68, 12456, 13, 1474, 31, 1513, 19, 16571, 17, 610, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 469, 68, 2307, 31, 927, 64, 996, 17, 818, 648, 1264, 68, 2307, 31, 927, 64, 996, 17, 818, 694, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 275, 8354, 302, 275, 571, 41, 1807, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 571, 41, 21620, 3138, 19, 204, 268, 610, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 610, 2992, 19, 204, 268, 469, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 469, 2992, 19, 204, 268, 1264, 68, 2307, 322, 2644, 64, 996, 17, 818, 1037, 334, 933, 302, 1264, 2992, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 1673, 1103, 497, 275, 458, 322, 2723, 302, 275, 3194, 14, 204, 268, 407, 370, 19, 3337, 19, 3377, 374, 204, 204, 264, 436, 29150, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 1913, 1103, 497, 275, 3194, 2900, 7057, 490, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1913, 1103, 497, 275, 3194, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 3194, 353, 1392, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 3194, 353, 1392, 2518, 5202, 275, 1913, 1103, 204, 268, 397, 370, 19, 360, 68, 4868, 1293, 204, 305, 980, 9394, 499, 10219, 636, 1913, 1103, 497, 437, 1392, 3194, 431, 204, 268, 314, 455, 275, 1673, 1103, 497, 275, 458, 322, 2723, 302, 275, 3194, 14, 204, 268, 407, 370, 19, 3337, 3327, 22, 66, 204, 204, 264, 436, 353, 68, 4868, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 3194, 353, 1392, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3194, 353, 1392, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 458, 353, 1392, 204, 268, 407, 508, 370, 19, 3337, 204, 204, 264, 436, 1302, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 763, 275, 542, 302, 1842, 292, 275, 3194, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 1842, 292, 275, 3194, 19, 204, 268, 320, 204, 268, 314, 455, 275, 1277, 302, 275, 458, 204, 268, 407, 1245, 13, 327, 19, 3337, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3194, 289, 14390, 374, 204, 264, 456, 13, 4173, 19, 360, 68, 4868, 1447, 226, 314, 3215, 31, 959, 204, 264, 3194, 19, 9653, 13, 22, 14, 204, 264, 3194, 19, 9653, 13, 23, 14, 204, 264, 3194, 19, 9653, 13, 24, 14, 204, 264, 456, 13, 4173, 19, 835, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 30975, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 3377, 1447, 226, 314, 3215, 31, 571, 204, 264, 456, 13, 4173, 19, 835, 1447, 226, 314, 3215, 31, 435, 204, 264, 456, 13, 4173, 19, 360, 68, 4868, 1447, 226, 314, 3215, 31, 1078, 204, 0, 531, 2573, 532, 5782, 204, 204, 676, 38225, 11176, 13, 5346, 330, 204, 264, 320, 204, 264, 38225, 2291, 302, 275, 1561, 19, 204, 204, 264, 334, 1561, 618, 17046, 292, 970, 14077, 31, 204, 264, 338, 502, 3376, 2613, 68, 4403, 68, 8514, 1889, 31, 334, 1561, 6315, 8206, 273, 1713, 5210, 19, 204, 264, 338, 565, 48808, 10042, 68, 12634, 9967, 3096, 31, 334, 1561, 6353, 273, 8042, 19, 204, 264, 320, 204, 264, 502, 3376, 2613, 68, 4403, 68, 8514, 1889, 289, 368, 204, 264, 565, 48808, 10042, 68, 12634, 9967, 3096, 289, 435, 204, 204, 676, 13490, 13, 5346, 330, 204, 264, 320, 204, 264, 13490, 302, 726, 928, 353, 8367, 292, 42830, 18, 31137, 2291, 19, 204, 204, 264, 334, 1561, 618, 1696, 275, 8042, 292, 970, 7505, 31, 204, 264, 338, 29059, 31, 334, 1561, 6353, 275, 8042, 311, 275, 1824, 19, 204, 264, 338, 33627, 31, 334, 1561, 6353, 275, 8042, 311, 275, 1629, 19, 204, 264, 320, 204, 264, 29059, 289, 368, 204, 264, 33627, 289, 435, 204, 204, 676, 41463, 11176, 13, 5346, 330, 204, 264, 320, 204, 264, 41463, 2291, 302, 15779, 2413, 19, 204, 204, 264, 334, 1561, 618, 17046, 292, 3420, 5156, 14077, 31, 204, 264, 338, 361, 58, 35918, 31, 334, 1561, 353, 4436, 20816, 19, 204, 264, 338, 415, 7981, 22994, 31, 334, 1561, 353, 47316, 329, 618, 444, 16528, 73, 19, 204, 264, 338, 47546, 31, 334, 1561, 28062, 1051, 1660, 630, 273, 690, 19, 204, 264, 338, 47070, 31, 334, 1561, 353, 14418, 329, 2950, 444, 16528, 73, 19, 204, 264, 320, 204, 264, 361, 58, 35918, 289, 500, 204, 264, 415, 7981, 22994, 289, 368, 204, 264, 47546, 289, 435, 204, 264, 47070, 289, 571, 204, 204, 676, 38225, 8177, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 16062, 1561, 19, 204, 204, 264, 334, 16062, 1561, 618, 17046, 292, 1792, 14077, 329, 1696, 10873, 292, 4109, 7505, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 16062, 68, 3607, 31, 38225, 11176, 17, 5156, 68, 3607, 31, 41463, 11176, 289, 41463, 11176, 19, 43083, 330, 204, 268, 320, 204, 268, 1865, 275, 16062, 1561, 19, 204, 204, 268, 457, 31, 204, 268, 338, 16062, 68, 3607, 322, 51, 12238, 11176, 330, 334, 1419, 16062, 2291, 302, 275, 1561, 19, 204, 268, 338, 5156, 68, 3607, 322, 25549, 11176, 330, 334, 1419, 5156, 2291, 302, 275, 1561, 19, 1243, 311, 41463, 11176, 19, 43083, 19, 204, 268, 320, 204, 268, 370, 19, 34396, 68, 3607, 289, 16062, 68, 3607, 204, 268, 370, 19, 12762, 68, 3607, 289, 5156, 68, 3607, 204, 268, 370, 19, 14055, 68, 5863, 289, 443, 204, 204, 264, 436, 758, 68, 14055, 68, 5863, 13, 327, 17, 2945, 31, 13490, 330, 204, 268, 320, 204, 268, 5313, 275, 2945, 302, 275, 8042, 311, 1696, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2945, 322, 18839, 330, 334, 2945, 302, 275, 8042, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 16062, 2291, 353, 565, 48808, 10042, 68, 12634, 9967, 3096, 204, 268, 397, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 31, 204, 305, 370, 19, 14055, 68, 5863, 289, 2945, 204, 268, 902, 31, 204, 305, 456, 499, 33302, 557, 2945, 618, 1698, 444, 758, 292, 565, 48808, 10042, 68, 12634, 9967, 3096, 2291, 1280, 204, 204, 264, 436, 1012, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 15374, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 361, 58, 35918, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 43083, 31, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 305, 456, 499, 51, 12238, 6911, 1280, 204, 305, 397, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 26137, 2613, 68, 4403, 68, 8514, 1889, 31, 204, 485, 456, 499, 35740, 8206, 275, 5210, 1280, 204, 305, 1677, 370, 19, 34396, 68, 3607, 564, 38225, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 31, 204, 485, 397, 370, 19, 14055, 68, 5863, 31, 204, 895, 456, 13, 75, 7, 31137, 275, 8042, 311, 275, 463, 327, 19, 14055, 68, 5863, 19, 417, 19, 3006, 9447, 1280, 204, 485, 902, 31, 204, 895, 456, 499, 5213, 758, 275, 8042, 2945, 1043, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 5213, 758, 275, 5156, 2291, 311, 361, 58, 35918, 1043, 1280, 204, 204, 264, 436, 21606, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 4694, 5792, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 361, 58, 35918, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 43083, 31, 204, 305, 370, 19, 12762, 68, 3607, 289, 41463, 11176, 19, 4329, 12687, 41, 204, 305, 456, 499, 51, 12238, 47316, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 51, 12238, 353, 508, 4436, 1280, 204, 204, 264, 436, 16528, 68, 34396, 13, 327, 330, 204, 268, 320, 204, 268, 2315, 22634, 275, 16062, 1561, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5156, 2291, 353, 415, 7981, 22994, 204, 268, 397, 370, 19, 12762, 68, 3607, 564, 41463, 11176, 19, 4329, 12687, 41, 31, 204, 305, 370, 19, 12762, 68, 3607, 289, 41463, 11176, 19, 43083, 204, 305, 456, 499, 51, 12238, 16528, 73, 1280, 204, 268, 902, 31, 204, 305, 456, 499, 51, 12238, 353, 508, 47316, 1280, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 16062, 68, 4038, 289, 38225, 8177, 13, 51, 12238, 11176, 19, 31539, 10042, 68, 12634, 9967, 3096, 14, 204, 264, 16062, 68, 4038, 19, 574, 68, 14055, 68, 5863, 13, 18839, 19, 12842, 14, 204, 264, 16062, 68, 4038, 19, 1530, 68, 34396, 374, 204, 264, 16062, 68, 4038, 19, 16763, 68, 34396, 374, 204, 264, 16062, 68, 4038, 19, 23253, 68, 34396, 374, 204, 0, 647, 3805, 448, 1246, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 8, 4861, 204, 20221, 31, 818, 289, 571, 19, 21, 226, 314, 3441, 302, 908, 741, 204, 9118, 8644, 34989, 68, 20155, 31, 818, 289, 368, 74, 18, 28, 226, 314, 1660, 292, 5442, 14241, 204, 1143, 2705, 8126, 4380, 68, 20155, 31, 818, 289, 720, 74, 18, 25, 226, 314, 1660, 1302, 302, 275, 9432, 741, 204, 24263, 68, 39, 31, 818, 289, 435, 19, 32629, 226, 314, 1419, 700, 302, 308, 204, 44, 39802, 31, 818, 289, 500, 19, 3222, 226, 314, 1660, 1302, 10731, 204, 9202, 44554, 31, 818, 289, 368, 74, 18, 29, 226, 314, 6736, 7548, 302, 722, 204, 5605, 68, 17176, 31, 421, 289, 2031, 1207, 226, 314, 1646, 542, 302, 6195, 204, 204, 461, 949, 68, 718, 13, 71, 31, 818, 17, 3441, 31, 818, 17, 9432, 68, 2290, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 908, 630, 273, 800, 917, 19, 204, 204, 264, 457, 31, 204, 264, 338, 308, 322, 996, 330, 917, 630, 928, 311, 949, 275, 908, 204, 264, 338, 3441, 322, 996, 330, 3441, 302, 908, 741, 204, 264, 338, 9432, 68, 2290, 322, 996, 330, 1660, 1302, 302, 275, 9432, 741, 204, 204, 264, 475, 31, 204, 264, 338, 908, 322, 996, 330, 908, 630, 275, 800, 917, 204, 264, 320, 204, 264, 314, 1765, 6893, 5356, 17, 572, 6356, 732, 273, 12317, 741, 348, 636, 68, 718, 204, 264, 314, 4546, 808, 440, 1214, 2641, 5581, 204, 264, 436, 636, 68, 718, 13, 3006, 68, 3499, 31, 818, 17, 3482, 68, 3499, 31, 818, 17, 9432, 68, 2290, 31, 818, 17, 308, 31, 818, 14, 393, 818, 31, 204, 268, 314, 1165, 5581, 31, 14900, 610, 67, 23, 497, 3124, 68, 3499, 311, 3482, 68, 3499, 204, 268, 532, 2010, 448, 645, 204, 268, 610, 289, 645, 19, 8268, 13, 3006, 68, 3499, 17, 3482, 68, 3499, 17, 9432, 68, 2290, 14, 204, 268, 407, 645, 19, 1303, 13, 93, 777, 23, 14, 540, 9432, 68, 2290, 204, 204, 264, 407, 636, 68, 718, 2422, 6575, 17, 3441, 17, 9432, 68, 2290, 17, 308, 14, 204, 204, 461, 949, 68, 16441, 13, 718, 68, 4266, 31, 7063, 17, 308, 31, 818, 17, 5442, 68, 2290, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 5442, 302, 275, 908, 630, 273, 800, 917, 974, 11339, 6108, 19, 204, 204, 264, 457, 31, 204, 264, 338, 908, 68, 4266, 322, 10740, 330, 741, 311, 949, 275, 908, 204, 264, 338, 308, 322, 996, 330, 917, 630, 928, 311, 949, 275, 5442, 204, 264, 338, 5442, 68, 2290, 322, 996, 330, 1660, 1302, 348, 5442, 14241, 204, 204, 264, 475, 31, 204, 264, 338, 5442, 322, 996, 330, 5442, 302, 275, 908, 630, 275, 800, 917, 204, 264, 320, 204, 264, 908, 68, 11967, 68, 2290, 289, 908, 68, 4266, 13, 71, 465, 5442, 68, 2290, 14, 204, 264, 908, 68, 20977, 68, 2290, 289, 908, 68, 4266, 13, 71, 338, 5442, 68, 2290, 14, 204, 264, 407, 322, 718, 68, 11967, 68, 2290, 338, 908, 68, 20977, 68, 2290, 14, 802, 322, 23, 540, 5442, 68, 2290, 14, 204, 204, 461, 15688, 68, 11272, 68, 29852, 13, 3474, 68, 71, 31, 818, 17, 9077, 31, 818, 17, 7548, 31, 818, 17, 846, 68, 2062, 31, 421, 17, 716, 8567, 3441, 31, 818, 17, 9432, 68, 2290, 31, 818, 17, 5442, 68, 2290, 31, 818, 14, 393, 783, 64, 1218, 64, 996, 2440, 204, 264, 320, 204, 264, 3055, 6361, 17391, 11689, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1419, 68, 71, 322, 996, 330, 1419, 700, 302, 308, 204, 264, 338, 9077, 322, 996, 330, 1660, 1302, 10731, 204, 264, 338, 7548, 322, 996, 330, 6736, 7548, 302, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 722, 204, 264, 338, 846, 68, 2062, 322, 339, 330, 1646, 542, 302, 6195, 204, 264, 338, 3441, 322, 996, 330, 3441, 302, 908, 741, 204, 264, 338, 9432, 68, 2290, 322, 996, 330, 1660, 1302, 302, 275, 9432, 741, 204, 264, 338, 5442, 68, 2290, 322, 996, 330, 1660, 1302, 348, 5442, 14241, 204, 204, 264, 475, 31, 204, 264, 338, 11689, 68, 481, 322, 1218, 64, 1218, 64, 996, 3795, 458, 302, 11689, 424, 204, 264, 320, 204, 264, 314, 968, 275, 908, 741, 204, 264, 436, 908, 68, 4266, 13, 71, 31, 818, 14, 393, 818, 31, 204, 268, 407, 949, 68, 718, 13, 71, 17, 3441, 17, 9432, 68, 2290, 14, 204, 204, 264, 1682, 68, 71, 289, 1419, 68, 71, 204, 264, 11689, 68, 481, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 1129, 68, 2062, 330, 204, 268, 397, 296, 1564, 931, 564, 500, 31, 204, 305, 456, 13, 75, 1954, 78, 8246, 1129, 68, 2062, 743, 204, 268, 790, 68, 71, 289, 1682, 68, 71, 204, 268, 908, 289, 908, 68, 4266, 13, 1976, 68, 71, 14, 204, 268, 5442, 289, 949, 68, 16441, 13, 718, 68, 4266, 17, 790, 68, 71, 17, 5442, 68, 2290, 14, 204, 268, 1682, 68, 71, 289, 790, 68, 71, 338, 9077, 540, 5442, 204, 204, 268, 308, 68, 2290, 289, 1682, 68, 71, 338, 790, 68, 71, 204, 268, 11689, 68, 481, 19, 1223, 1568, 2715, 68, 71, 17, 908, 17, 308, 68, 2290, 694, 204, 268, 397, 7041, 13, 71, 68, 2290, 14, 2186, 7548, 31, 204, 305, 2280, 204, 204, 264, 407, 11689, 68, 481, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 11689, 68, 481, 289, 15688, 68, 11272, 68, 29852, 13, 24263, 68, 39, 17, 501, 39802, 17, 25384, 44554, 17, 8438, 68, 17176, 17, 716, 43212, 21725, 2530, 3322, 17, 5697, 2705, 8126, 4380, 68, 20155, 17, 412, 1053, 8644, 34989, 68, 20155, 14, 204, 264, 456, 499, 11039, 431, 204, 204, 264, 314, 18320, 424, 204, 264, 2349, 289, 1246, 19, 1362, 13, 28094, 68, 481, 14, 204, 264, 2349, 19, 633, 68, 2039, 22335, 481, 20, 11272, 68, 45635, 19, 2039, 528, 3494, 8090, 71, 528, 388, 718, 528, 388, 2290, 2869, 1112, 34, 1975, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1066, 302, 275, 26096, 1330, 5209, 329, 9137, 970, 886, 292, 1034, 284, 204, 204, 3661, 1743, 8456, 68, 85, 13, 82, 17, 83, 3920, 322, 18614, 19, 1743, 1460, 68, 85, 13, 82, 17, 83, 3920, 14, 12091, 275, 1066, 302, 275, 26096, 1330, 5209, 322, 18614, 19, 9137, 14, 275, 886, 686, 82, 6958, 1303, 1859, 80, 65, 340, 21, 98, 82, 68, 35158, 67, 80, 9, 329, 686, 83, 6958, 1303, 1859, 80, 65, 340, 21, 98, 83, 68, 35158, 67, 80, 9, 974, 1034, 18, 9, 85, 9, 7339, 1273, 686, 82, 68, 80, 17, 83, 68, 80, 65, 266, 28543, 21, 13299, 16701, 17, 85, 18, 22, 24935, 348, 686, 80, 65, 340, 21, 2176, 5486, 686, 88, 68, 85, 13, 82, 21039, 1303, 1859, 80, 65, 340, 21, 98, 82, 68, 80, 9, 444, 275, 1066, 302, 275, 1034, 18, 9, 85, 9, 3258, 19, 204, 204, 12124, 9994, 529, 800, 31, 204, 8515, 8456, 68, 85, 13, 82, 17, 83, 21039, 1209, 96, 88, 68, 85, 13, 82, 14040, 88, 68, 85, 13, 83, 12195, 88, 68, 85, 13, 82, 16, 83, 9844, 85, 18, 22, 31209, 17957, 688, 1460, 68, 85, 13, 82, 17, 83, 21039, 1209, 96, 88, 68, 85, 13, 82, 14, 88, 68, 85, 13, 83, 12195, 88, 68, 85, 13, 7398, 9844, 85, 18, 22, 3572, 3266, 204, 204, 38, 8864, 348, 1743, 1460, 68, 85, 13, 82, 17, 83, 3920, 353, 448, 6353, 31, 204, 204, 22167, 275, 1034, 18, 9, 85, 9, 43035, 686, 70, 6958, 1303, 1859, 80, 65, 340, 21, 98, 70, 68, 35158, 67, 80, 9, 329, 686, 71, 6958, 1303, 1859, 80, 65, 340, 21, 98, 71, 68, 35158, 67, 80, 9, 12015, 26096, 686, 72, 68, 21, 17, 72, 68, 22, 13299, 16701, 9, 1273, 686, 72, 68, 80, 9, 353, 275, 7918, 4489, 560, 5209, 10112, 302, 686, 85, 67, 80, 2176, 334, 1034, 18, 9, 85, 9, 10291, 302, 275, 1351, 686, 429, 6958, 1303, 1859, 80, 65, 340, 21, 7293, 429, 38919, 35158, 67, 80, 9, 353, 3232, 311, 275, 686, 70, 68, 78, 2543, 686, 71, 68, 79, 9, 329, 686, 72, 68, 80, 9, 9271, 275, 3779, 31, 226, 204, 65, 6411, 96, 14156, 28842, 226, 204, 13, 429, 38919, 21, 34686, 70, 68, 21, 71, 68, 21, 18, 6092, 68, 21, 4727, 226, 204, 13, 429, 38919, 22, 34686, 70, 68, 21, 71, 68, 22, 16, 70, 68, 22, 71, 68, 21, 16, 72, 68, 21, 18, 6092, 68, 22, 4727, 226, 204, 13, 429, 38919, 23, 34686, 70, 68, 21, 71, 68, 23, 16, 70, 68, 22, 71, 68, 22, 16, 70, 68, 23, 71, 68, 21, 16, 72, 68, 22, 18, 6092, 68, 23, 4727, 226, 204, 48058, 688, 43473, 226, 204, 65, 409, 96, 14156, 28842, 226, 204, 3663, 7269, 429, 38919, 80, 6958, 1735, 3453, 1303, 1859, 78, 16, 79, 34, 80, 98, 70, 68, 1156, 68, 79, 65, 1633, 14040, 72, 1859, 80, 18, 22, 8172, 6092, 68, 80, 9, 348, 686, 80, 65, 340, 22, 2176, 19524, 1605, 3779, 4658, 226, 204, 3266, 88, 68, 85, 13, 429, 21039, 1735, 3453, 1303, 1859, 78, 65, 340, 21, 98, 70, 68, 78, 65, 1633, 6239, 1735, 3453, 1303, 1859, 79, 65, 340, 21, 98, 71, 68, 79, 65, 1633, 14, 18141, 85, 18, 22, 6239, 1303, 1859, 80, 65, 340, 21, 98, 72, 68, 80, 34, 88, 68, 85, 13, 70, 14, 88, 68, 85, 13, 71, 12195, 13, 85, 18, 22, 6239, 1460, 68, 85, 13, 70, 17, 71, 789, 3266, 226, 204, 18672, 4658, 275, 6736, 2089, 348, 1743, 1460, 68, 85, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 70, 17, 71, 7891, 716, 204, 673, 2089, 348, 1743, 8456, 68, 85, 13, 70, 17, 71, 3920, 353, 8744, 27280, 560, 5209, 7269, 70, 16, 71, 38919, 21, 34, 70, 68, 21, 16, 71, 68, 21, 18, 6092, 68, 21, 9, 329, 7269, 70, 16, 71, 38919, 80, 34, 70, 68, 80, 16, 71, 68, 80, 16, 72, 1859, 80, 18, 22, 8172, 6092, 68, 80, 9, 348, 686, 80, 65, 340, 22, 36517, 716, 204, 7108, 31, 332, 12178, 722, 302, 1144, 328, 1652, 5366, 496, 1743, 8456, 68, 85, 13, 82, 17, 83, 3920, 353, 275, 6409, 302, 275, 4794, 2347, 302, 686, 85, 9, 8631, 1743, 18174, 96, 82, 16, 83, 1134, 83, 4742, 0, 647, 1875, 204, 647, 1361, 204, 647, 8738, 204, 647, 690, 204, 647, 2164, 204, 204, 676, 21182, 8162, 4093, 31, 204, 264, 320, 204, 264, 332, 850, 311, 8808, 440, 275, 21182, 8162, 1893, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 1034, 68, 805, 1164, 394, 204, 268, 334, 1034, 1274, 302, 275, 21182, 8162, 1893, 19, 204, 264, 4584, 1164, 394, 204, 268, 334, 4584, 311, 3752, 275, 1504, 39, 61, 2297, 19, 204, 264, 2082, 1164, 1361, 19, 4387, 204, 268, 334, 2082, 1014, 19, 204, 264, 353, 68, 34434, 1164, 1109, 204, 268, 332, 5168, 311, 8956, 397, 275, 1014, 353, 14418, 19, 204, 264, 790, 68, 93, 24566, 68, 2895, 1164, 818, 204, 268, 334, 790, 1504, 39, 61, 2297, 19, 204, 264, 353, 68, 23855, 1164, 1109, 204, 268, 332, 5168, 311, 8956, 397, 275, 7346, 4457, 353, 4436, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1034, 68, 805, 31, 394, 289, 388, 3189, 1963, 2005, 19, 16293, 3199, 19, 1453, 13669, 4584, 31, 394, 289, 388, 40271, 20, 93, 24566, 20, 6471, 204, 268, 320, 204, 268, 977, 275, 21182, 8162, 4093, 1014, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 1034, 68, 805, 1164, 394, 17, 1448, 204, 305, 334, 1034, 1274, 302, 275, 21182, 8162, 1893, 322, 2305, 353, 388, 3189, 1963, 2005, 19, 16293, 3199, 19, 1453, 20, 5561, 204, 268, 4584, 1164, 394, 17, 1448, 204, 305, 334, 4584, 311, 3752, 275, 1504, 39, 61, 2297, 322, 2305, 353, 388, 40271, 20, 93, 24566, 20, 5561, 204, 268, 320, 204, 268, 370, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 268, 370, 19, 8155, 289, 4584, 204, 268, 370, 19, 3342, 289, 1361, 19, 6095, 611, 2125, 534, 204, 268, 370, 19, 3342, 19, 1270, 499, 38783, 8162, 4093, 807, 1491, 431, 204, 268, 370, 19, 360, 68, 34434, 289, 1078, 204, 268, 370, 19, 1976, 68, 93, 24566, 68, 2895, 289, 443, 204, 268, 370, 19, 360, 68, 23855, 289, 1078, 204, 204, 264, 436, 2601, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9050, 273, 1727, 311, 275, 21182, 8162, 1893, 19, 204, 204, 268, 1058, 1216, 7036, 275, 1727, 560, 10775, 275, 790, 1504, 39, 61, 2297, 19, 204, 268, 320, 204, 268, 370, 19, 3342, 19, 1270, 499, 17333, 12121, 7862, 204, 268, 370, 19, 6291, 68, 93, 24566, 68, 2895, 374, 204, 204, 264, 436, 3752, 68, 93, 24566, 68, 2895, 13, 327, 14, 393, 818, 1152, 443, 31, 204, 268, 320, 204, 268, 6579, 275, 790, 1504, 39, 61, 2297, 497, 275, 21182, 8162, 1893, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 818, 1152, 443, 204, 305, 334, 790, 1504, 39, 61, 2297, 521, 443, 397, 275, 824, 4737, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 5128, 275, 3101, 1274, 204, 305, 1779, 289, 283, 1954, 327, 19, 772, 68, 805, 1134, 327, 19, 8155, 2495, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 305, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 305, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 314, 2735, 275, 958, 448, 2084, 204, 305, 424, 289, 958, 19, 1775, 374, 204, 305, 314, 2735, 275, 1504, 39, 61, 2297, 497, 275, 958, 204, 305, 370, 19, 1976, 68, 93, 24566, 68, 2895, 289, 370, 806, 1703, 68, 93, 24566, 68, 2895, 13, 481, 14, 204, 305, 407, 370, 19, 1976, 68, 93, 24566, 68, 2895, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 2175, 275, 908, 329, 407, 443, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 10775, 1504, 39, 61, 2297, 31, 463, 74, 743, 204, 305, 407, 443, 204, 204, 264, 436, 1012, 68, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4055, 273, 7346, 4457, 302, 1504, 39, 61, 6042, 497, 275, 21182, 8162, 1893, 19, 204, 204, 268, 1058, 1216, 7036, 273, 717, 3532, 311, 20816, 3752, 1504, 39, 61, 6042, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 360, 68, 23855, 31, 204, 305, 370, 19, 360, 68, 23855, 289, 959, 204, 305, 314, 4055, 273, 717, 3532, 348, 7346, 6042, 204, 305, 8738, 19, 9928, 13, 2170, 34, 327, 806, 23855, 68, 8665, 789, 1530, 374, 204, 204, 264, 436, 3506, 68, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 7346, 4457, 302, 1504, 39, 61, 6042, 19, 204, 268, 320, 204, 268, 397, 370, 19, 360, 68, 23855, 31, 204, 305, 370, 19, 360, 68, 23855, 289, 1078, 204, 204, 264, 436, 906, 23855, 68, 8665, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 26118, 1216, 311, 20816, 3752, 1504, 39, 61, 6042, 19, 204, 204, 268, 1058, 1216, 6944, 292, 273, 7490, 3532, 329, 20816, 39321, 1504, 39, 61, 6042, 204, 268, 3119, 275, 7346, 4457, 353, 14418, 19, 204, 268, 320, 204, 268, 1335, 370, 19, 360, 68, 23855, 31, 204, 305, 314, 6579, 275, 1504, 39, 61, 2297, 204, 305, 370, 19, 6291, 68, 93, 24566, 68, 2895, 374, 204, 305, 314, 18285, 348, 500, 19, 26, 3331, 2518, 275, 1682, 3752, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 305, 690, 19, 4867, 13, 21, 19, 26, 14, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 1703, 68, 93, 24566, 68, 2895, 13, 481, 31, 1135, 14, 393, 818, 31, 204, 268, 320, 204, 268, 2735, 275, 1504, 39, 61, 2297, 497, 275, 1893, 958, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 424, 1164, 1135, 204, 305, 334, 1893, 958, 424, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 818, 204, 305, 334, 3634, 1504, 39, 61, 2297, 19, 204, 268, 320, 204, 268, 407, 424, 736, 93, 24566, 839, 204, 204, 264, 436, 5925, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 21182, 8162, 4093, 1014, 19, 204, 204, 268, 1058, 1216, 15362, 275, 7346, 4457, 329, 3416, 275, 14418, 5168, 19, 204, 268, 320, 204, 268, 397, 508, 370, 19, 360, 68, 34434, 31, 204, 305, 370, 19, 360, 68, 34434, 289, 959, 204, 305, 370, 19, 5029, 68, 23855, 68, 8665, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 21182, 8162, 4093, 1014, 204, 264, 7612, 3199, 68, 2005, 289, 21182, 8162, 4093, 374, 204, 264, 314, 4055, 275, 7346, 6042, 4457, 204, 264, 7612, 3199, 68, 2005, 19, 1530, 68, 23855, 68, 8665, 374, 204, 264, 314, 18285, 348, 1607, 3331, 204, 264, 690, 19, 4867, 13, 2051, 14, 204, 264, 314, 9829, 275, 7346, 6042, 4457, 204, 264, 7612, 3199, 68, 2005, 19, 5029, 68, 23855, 68, 8665, 374, 204, 0, 25005, 9748, 29646, 204, 204, 673, 2415, 1610, 302, 273, 542, 353, 273, 700, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 275, 2171, 542, 19, 1765, 1763, 17, 275, 2415, 1610, 302, 2247, 353, 681, 17, 2404, 681, 540, 681, 289, 2247, 19, 204, 204, 673, 9758, 2415, 1610, 302, 273, 542, 353, 275, 47718, 700, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 275, 2171, 542, 19, 1547, 353, 13772, 560, 275, 4414, 3849, 19, 1765, 1014, 17, 3849, 1845, 289, 681, 19, 204, 204, 1449, 3953, 273, 2415, 1610, 17, 572, 618, 732, 275, 2631, 2089, 31, 204, 204, 4646, 70, 289, 308, 17, 1273, 308, 353, 273, 542, 496, 17, 1330, 11983, 560, 5398, 17, 4658, 273, 19, 204, 204, 18882, 31, 204, 204, 15, 3849, 2051, 289, 931, 17, 2404, 931, 540, 931, 289, 1607, 204, 15, 3849, 1511, 289, 720, 17, 2404, 720, 540, 720, 289, 2019, 204, 15, 3849, 7298, 289, 1168, 17, 2404, 1168, 540, 1168, 289, 10516, 204, 204, 4931, 275, 5310, 12469, 311, 8730, 9748, 29646, 204, 204, 673, 1351, 4090, 348, 18656, 2415, 6601, 3584, 496, 275, 2415, 1610, 302, 273, 1351, 302, 970, 886, 353, 1936, 311, 275, 1351, 302, 275, 2415, 6601, 302, 275, 3509, 886, 19, 12240, 2547, 17, 808, 618, 444, 8286, 448, 31, 204, 204, 16407, 429, 14, 289, 3849, 70, 540, 3849, 71, 204, 204, 18882, 31, 204, 204, 15, 7408, 25, 540, 1233, 14, 289, 3849, 25, 540, 3849, 30, 289, 435, 540, 571, 289, 887, 204, 15, 7408, 1845, 540, 2019, 14, 289, 3849, 1845, 540, 3849, 1511, 289, 681, 540, 720, 289, 1199, 204, 204, 4931, 275, 44866, 12469, 311, 8730, 9748, 29646, 204, 204, 673, 9684, 4090, 348, 18656, 2415, 6601, 3584, 496, 275, 2415, 1610, 302, 273, 9684, 302, 970, 886, 353, 1936, 311, 275, 9684, 302, 275, 2415, 6601, 302, 275, 3509, 886, 19, 12240, 2547, 17, 808, 618, 444, 8286, 448, 31, 204, 204, 16407, 70, 20, 71, 14, 289, 3849, 70, 802, 3849, 71, 204, 204, 18882, 31, 204, 204, 15, 7408, 1845, 20, 30, 14, 289, 3849, 1845, 802, 3849, 30, 289, 681, 20, 24, 204, 15, 7408, 1511, 20, 25, 14, 289, 3849, 1511, 802, 3849, 25, 289, 720, 20, 23, 204, 204, 20542, 329, 31889, 9748, 29646, 204, 204, 1449, 881, 521, 5400, 2415, 6601, 17, 275, 7919, 323, 5152, 322, 1947, 886, 6204, 275, 2415, 1610, 14, 1631, 444, 275, 1729, 19, 828, 275, 7919, 323, 5152, 529, 275, 1729, 17, 572, 618, 881, 521, 5400, 275, 5692, 322, 1947, 886, 7066, 275, 2415, 1610, 789, 204, 204, 18882, 31, 204, 204, 15, 435, 4646, 25, 465, 571, 4646, 25, 289, 322, 23, 16, 24, 14, 4646, 25, 289, 720, 4646, 25, 289, 931, 204, 15, 681, 4646, 30, 338, 435, 4646, 30, 289, 322, 25, 18, 23, 14, 4646, 30, 289, 435, 4646, 30, 289, 887, 204, 204, 4931, 23023, 29646, 204, 204, 39830, 6601, 529, 6601, 496, 618, 444, 8286, 448, 273, 8793, 542, 322, 70, 4628, 789, 1765, 1763, 17, 275, 6871, 1610, 302, 1132, 353, 435, 17, 2404, 435, 67, 24, 289, 1132, 19, 204, 204, 673, 9776, 1610, 302, 273, 542, 353, 273, 700, 496, 17, 1330, 7514, 311, 275, 9776, 2347, 17, 4658, 275, 2171, 542, 19, 1547, 353, 13772, 560, 275, 4414, 3849, 64, 83, 1664, 1765, 1014, 17, 3849, 64, 24, 66, 29, 289, 435, 17, 2404, 435, 67, 24, 289, 1132, 19, 204, 204, 18882, 31, 204, 204, 15, 3849, 64, 25, 66, 1845, 289, 435, 17, 2404, 435, 67, 25, 289, 2247, 204, 15, 3849, 64, 26, 35920, 2177, 289, 338, 23, 17, 2404, 3457, 23, 2246, 26, 289, 338, 2177, 204, 204, 4931, 23023, 33339, 204, 204, 39830, 15231, 529, 15231, 496, 529, 6249, 19, 3433, 618, 444, 1376, 311, 12091, 6601, 329, 9350, 19, 1765, 1763, 17, 435, 6023, 22, 20, 23, 14, 289, 3849, 23, 17, 329, 435, 6023, 24, 20, 23, 14, 289, 13079, 23, 2246, 24, 289, 435, 4646, 23, 19, 204, 204, 673, 4303, 798, 348, 10657, 1283, 273, 16049, 2231, 440, 273, 16049, 4414, 329, 1051, 440, 273, 8793, 6409, 353, 31, 204, 204, 70, 6023, 82, 20, 83, 14, 289, 13079, 64, 83, 66, 70, 2246, 82, 289, 3849, 64, 83, 66, 70, 67, 82, 204, 204, 18882, 31, 204, 204, 15, 1132, 6023, 23, 20, 24, 14, 289, 13079, 64, 24, 66, 29, 2246, 23, 289, 435, 67, 23, 289, 681, 204, 15, 1233, 6023, 22, 20, 23, 14, 289, 3849, 30, 289, 571, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 837, 5549, 17, 18680, 329, 18656, 2415, 6601, 329, 8793, 6601, 5628, 974, 4109, 5035, 329, 9994, 17, 1702, 448, 275, 1351, 4090, 17, 9684, 4090, 17, 329, 8793, 6409, 4090, 17, 311, 23912, 329, 5620, 7277, 19, 0, 3728, 2474, 20398, 1151, 1101, 6202, 33408, 329, 2075, 830, 275, 48051, 26277, 19, 11449, 36, 204, 7374, 41204, 501, 12032, 15613, 71, 9629, 77, 280, 17, 501, 301, 366, 842, 356, 3356, 48371, 1349, 29569, 696, 705, 414, 286, 3356, 471, 538, 1118, 3356, 595, 4890, 270, 517, 274, 1128, 3711, 3356, 595, 360, 5740, 9105, 22425, 17, 292, 6699, 14827, 17, 41204, 19657, 38337, 6724, 366, 17, 501, 14620, 89, 1693, 278, 17, 21299, 17, 3351, 435, 204, 12129, 641, 6037, 10167, 18, 28160, 349, 15360, 867, 41127, 497, 25304, 326, 551, 40, 33690, 292, 13533, 648, 273, 15400, 292, 275, 9284, 302, 6405, 270, 322, 42936, 1405, 659, 1273, 566, 867, 9596, 292, 275, 4744, 11543, 21843, 6129, 19, 2474, 754, 26476, 10566, 560, 1704, 30437, 525, 17, 9004, 728, 639, 329, 18385, 496, 566, 867, 2927, 273, 8634, 302, 37418, 17, 39143, 302, 565, 985, 278, 17, 329, 1425, 273, 23360, 19, 592, 1704, 1998, 19170, 70, 33301, 608, 1257, 31823, 979, 1566, 360, 1602, 286, 39539, 292, 269, 1693, 1156, 362, 360, 322, 5824, 11712, 44435, 302, 275, 794, 269, 797, 3423, 302, 4710, 7180, 14, 566, 24600, 292, 4539, 275, 7167, 2513, 302, 275, 11121, 349, 812, 1154, 348, 10076, 1070, 1169, 3397, 2219, 397, 490, 20905, 447, 1102, 72, 4186, 275, 7119, 302, 3651, 5127, 19, 592, 1704, 3346, 24972, 5809, 566, 867, 14392, 311, 273, 11710, 34798, 15439, 19, 592, 3161, 1225, 17, 1998, 378, 78, 462, 19291, 322, 5824, 49018, 659, 566, 18377, 496, 1169, 3651, 24718, 440, 2318, 1666, 867, 1236, 1182, 1194, 273, 33420, 17455, 19, 2474, 1425, 25555, 440, 1182, 4539, 5713, 19800, 3888, 292, 904, 5994, 19, 204, 673, 3511, 302, 275, 18662, 271, 2156, 302, 275, 3420, 21843, 329, 11543, 21843, 15056, 17, 448, 8699, 719, 311, 3303, 17, 3192, 4935, 1182, 496, 353, 37443, 302, 4806, 1194, 496, 302, 3153, 302, 1017, 378, 46260, 2890, 1415, 1466, 3597, 31553, 2178, 612, 640, 19, 334, 16405, 1466, 348, 275, 1901, 1085, 27655, 13533, 4281, 2471, 302, 329, 3777, 2471, 523, 39636, 884, 88, 29155, 19, 2935, 867, 4539, 311, 1475, 17, 1702, 448, 13275, 302, 14367, 71, 410, 3954, 17, 501, 6352, 364, 5717, 19657, 5717, 8868, 349, 45496, 6623, 19, 292, 1017, 34583, 440, 275, 18662, 271, 2156, 17, 869, 2861, 1742, 11799, 292, 275, 8916, 9206, 302, 808, 34583, 17, 1273, 382, 1425, 36431, 523, 275, 1901, 3287, 17606, 302, 1017, 7977, 19, 204, 13936, 6005, 353, 3913, 311, 45834, 41127, 302, 346, 33690, 17, 508, 754, 3171, 448, 273, 3597, 31553, 2178, 37716, 17, 1101, 448, 437, 2171, 5871, 1415, 2080, 28148, 10566, 560, 275, 2986, 302, 31553, 2178, 37716, 17696, 19, 2474, 2080, 14918, 13731, 10566, 440, 275, 3220, 302, 9207, 329, 15775, 6310, 1704, 6542, 7345, 311, 5713, 19800, 10446, 17, 292, 4539, 37418, 19, 3846, 1704, 6542, 7345, 529, 2842, 448, 292, 1668, 5262, 1313, 292, 7105, 448, 353, 1704, 5713, 19800, 1650, 302, 1475, 17, 329, 348, 808, 5127, 41127, 302, 346, 33690, 884, 88, 17696, 17, 4811, 522, 290, 448, 490, 353, 2171, 17, 4230, 444, 39309, 273, 5568, 302, 6542, 2745, 10548, 2643, 19, 34361, 497, 29155, 12361, 28329, 311, 9207, 329, 37418, 17, 1704, 1901, 3287, 29449, 5994, 529, 275, 2631, 31, 1998, 19170, 70, 33301, 608, 1257, 3353, 270, 382, 322, 5824, 11712, 44435, 551, 13554, 5967, 30385, 332, 538, 761, 1257, 19170, 6237, 33301, 608, 1257, 74, 3353, 270, 382, 322, 7146, 652, 302, 11712, 44435, 551, 389, 2016, 30385, 1998, 378, 78, 462, 19291, 3353, 391, 11933, 84, 322, 5824, 49018, 551, 7434, 5967, 30385, 1998, 46072, 1275, 1257, 3353, 391, 15623, 322, 5824, 22846, 551, 13554, 5967, 12670, 22, 334, 4578, 302, 275, 1043, 302, 1605, 529, 9395, 1792, 497, 2075, 1051, 1784, 7523, 497, 1163, 1724, 19, 332, 5713, 12367, 323, 353, 11352, 523, 275, 6733, 302, 275, 4923, 1646, 17, 928, 353, 19400, 4923, 523, 17285, 17, 497, 928, 41127, 17782, 30678, 311, 8335, 1425, 275, 2140, 7781, 25815, 302, 13709, 329, 275, 26903, 543, 302, 275, 44022, 329, 275, 791, 285, 6544, 19, 334, 19170, 70, 33301, 608, 1257, 322, 3838, 336, 44435, 14, 9995, 292, 275, 12083, 496, 275, 4923, 1646, 521, 4923, 523, 17285, 353, 34159, 578, 841, 414, 17, 2404, 830, 6121, 1631, 444, 3267, 756, 1924, 273, 542, 17, 7301, 808, 1646, 353, 3114, 1194, 1169, 542, 19, 18911, 275, 722, 302, 808, 12083, 353, 273, 11712, 44435, 19, 23, 41127, 1583, 508, 3237, 44590, 311, 19200, 1662, 572, 21851, 311, 275, 6733, 302, 275, 1646, 521, 4923, 523, 17285, 32, 566, 20251, 18479, 496, 490, 353, 4816, 398, 6100, 560, 830, 4757, 329, 353, 275, 1136, 302, 1017, 8793, 41695, 580, 19, 11917, 437, 22968, 4273, 17, 20761, 6121, 302, 275, 1646, 353, 2237, 32, 275, 4414, 353, 9470, 497, 9207, 19, 334, 1646, 353, 4923, 523, 17285, 329, 8337, 23104, 3896, 440, 275, 2311, 32, 490, 353, 23055, 3600, 17, 35139, 17, 329, 275, 35139, 15363, 302, 275, 2688, 19, 24, 1547, 11669, 1043, 1025, 275, 44022, 19, 334, 1646, 448, 4923, 4161, 17285, 353, 5608, 32, 808, 523, 17285, 24879, 5398, 521, 444, 505, 88, 14144, 440, 5398, 322, 1947, 26582, 22412, 659, 329, 275, 8651, 302, 523, 17285, 440, 1163, 14144, 39660, 275, 4986, 1874, 302, 275, 1381, 12474, 322, 1947, 19155, 23507, 789, 5443, 2350, 316, 357, 796, 286, 298, 2350, 39539, 273, 4597, 286, 402, 32, 378, 16285, 936, 1602, 84, 995, 2350, 316, 426, 4618, 286, 3772, 995, 2350, 39539, 273, 4597, 41105, 19, 25, 322, 2803, 516, 302, 523, 17285, 353, 10471, 363, 1876, 497, 523, 17285, 17, 1101, 8651, 42329, 497, 523, 17285, 329, 497, 14144, 302, 523, 17285, 6268, 204, 8837, 970, 20, 633, 444, 10891, 5013, 204, 22, 19, 35017, 275, 4166, 18, 40450, 17905, 302, 275, 5994, 302, 31291, 8678, 354, 302, 346, 33690, 322, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 28989, 326, 2153, 4452, 17, 571, 11644, 936, 14827, 659, 970, 904, 47581, 1337, 19, 334, 1043, 867, 6193, 292, 12352, 17, 9047, 630, 12934, 326, 17, 329, 353, 34330, 4569, 302, 41127, 884, 5994, 19, 11757, 552, 18067, 727, 884, 88, 392, 714, 2027, 489, 278, 26279, 3000, 376, 26770, 34474, 46254, 8868, 31247, 274, 1128, 1349, 17, 2241, 19, 16605, 17, 415, 19, 43516, 19, 334, 1350, 353, 1182, 4151, 19, 3242, 275, 17642, 5376, 4669, 5913, 17, 490, 867, 9750, 560, 27344, 472, 44738, 302, 5905, 784, 793, 19, 12694, 2342, 10428, 31, 15956, 979, 7808, 345, 4650, 286, 936, 1659, 328, 2241, 12438, 328, 1317, 328, 1567, 815, 333, 449, 78, 415, 19, 27588, 349, 1678, 346, 354, 6237, 10037, 19, 432, 6777, 4732, 43648, 624, 20043, 304, 5342, 318, 8017, 70, 2432, 32, 279, 3802, 354, 11577, 21257, 3149, 547, 13719, 470, 29198, 624, 8303, 4732, 1898, 44758, 19, 34270, 278, 41497, 298, 7556, 1731, 2972, 360, 318, 5717, 1317, 1156, 354, 292, 273, 336, 1156, 354, 43648, 624, 1516, 360, 32, 15623, 7356, 81, 19, 11644, 19, 322, 1834, 16957, 15936, 302, 2327, 14827, 302, 275, 5994, 302, 275, 12178, 45834, 41127, 302, 346, 33690, 17, 867, 10547, 16687, 560, 275, 43648, 624, 1516, 8931, 17, 302, 928, 273, 4151, 35595, 6644, 523, 275, 1682, 1472, 19, 3433, 529, 2755, 4430, 440, 275, 3022, 302, 1704, 5994, 497, 275, 43648, 624, 1516, 30926, 9354, 32, 13056, 11644, 936, 14827, 659, 440, 1236, 30716, 302, 275, 1324, 329, 2481, 302, 9095, 19, 1131, 275, 1136, 302, 1998, 4523, 8495, 48449, 74, 322, 5824, 6542, 48449, 14, 292, 3351, 571, 1422, 353, 273, 4806, 496, 275, 5641, 3599, 867, 9425, 630, 17058, 292, 2153, 2300, 19, 2416, 808, 1225, 292, 3351, 571, 353, 27396, 275, 1998, 378, 1366, 608, 1257, 44275, 8237, 70, 322, 5824, 16625, 378, 1366, 525, 789, 1058, 17905, 353, 275, 1051, 382, 874, 2518, 479, 19, 22608, 108, 204, 23, 19, 27588, 349, 13, 70, 354, 14, 346, 354, 13, 70, 659, 1998, 19170, 70, 33301, 13, 608, 1257, 659, 6030, 368, 17, 556, 19, 368, 4154, 24, 17, 7356, 19, 368, 17, 11644, 19, 435, 22608, 108, 204, 24, 19, 382, 12746, 19, 6030, 382, 17, 556, 19, 681, 4154, 29, 22608, 108, 204, 25, 19, 41127, 1425, 42187, 808, 448, 6353, 31, 13622, 20705, 2272, 328, 1091, 2763, 2350, 39539, 995, 2350, 316, 2432, 33694, 2350, 39539, 4611, 310, 286, 936, 32, 490, 70, 1352, 936, 995, 6831, 295, 518, 2432, 19312, 360, 15915, 612, 354, 2350, 39539, 17, 297, 545, 425, 3624, 32241, 1239, 17, 2350, 39539, 3772, 273, 4597, 286, 39539, 2350, 39539, 296, 2554, 5717, 2350, 936, 19, 382, 12746, 19, 6030, 8392, 17, 556, 19, 887, 19, 7356, 19, 382, 11644, 19, 681, 19, 322, 21910, 448, 7513, 302, 523, 17285, 353, 1051, 19312, 302, 523, 17285, 17, 754, 275, 1352, 288, 497, 1855, 353, 523, 17285, 302, 275, 19312, 302, 808, 523, 17285, 3217, 276, 17, 397, 872, 10180, 275, 2231, 2317, 353, 523, 17285, 302, 523, 17285, 329, 302, 275, 14144, 302, 808, 523, 17285, 19, 551, 5055, 19, 334, 4398, 353, 6162, 17, 928, 353, 275, 5127, 382, 867, 630, 1043, 17224, 311, 7260, 808, 9566, 31, 275, 2139, 353, 1998, 19170, 70, 33301, 608, 1257, 17, 6030, 382, 17, 556, 19, 1233, 694, 22608, 108, 204, 19792, 18936, 302, 275, 5994, 302, 346, 354, 43563, 560, 871, 402, 558, 40260, 0, 658, 5248, 31, 40822, 13823, 204, 204, 39, 1055, 705, 5252, 311, 838, 273, 13160, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 19, 3355, 17, 1429, 21175, 18, 82, 842, 1493, 2950, 444, 9493, 440, 848, 904, 521, 902, 1250, 1120, 3253, 437, 25263, 19, 7609, 21175, 18, 82, 842, 1493, 440, 1769, 686, 70, 9, 329, 686, 71, 9, 618, 1698, 444, 3113, 292, 275, 1729, 13160, 397, 686, 70, 688, 46950, 308, 688, 280, 1144, 9, 14584, 22, 688, 280, 1144, 688, 280, 931, 67, 30, 46640, 1273, 686, 70, 65, 46950, 308, 9, 26671, 275, 18888, 21594, 521, 302, 1950, 18, 4721, 1892, 686, 70, 9, 329, 686, 71, 2176, 204, 204, 39, 1055, 705, 869, 686, 51, 9, 14584, 22, 65, 280, 392, 65, 280, 435, 65, 4423, 931, 67, 25, 27766, 6591, 302, 21175, 18, 82, 842, 1493, 17, 329, 275, 686, 78, 16909, 427, 2871, 3192, 21175, 18, 82, 842, 1493, 15993, 686, 81, 68, 78, 9, 1924, 686, 87, 68, 78, 9, 24493, 7269, 21, 65, 280, 317, 68, 78, 688, 280, 468, 68, 78, 688, 280, 931, 67, 30, 7891, 4222, 970, 6591, 874, 1169, 21175, 18, 82, 842, 1493, 292, 2323, 19, 6234, 11237, 311, 2379, 1662, 1910, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 2268, 618, 838, 19, 204, 204, 1380, 4429, 9265, 204, 204, 15, 334, 1043, 1007, 3192, 970, 1892, 686, 51, 9, 329, 686, 48, 2176, 204, 15, 7616, 302, 275, 1682, 686, 51, 9, 2238, 3192, 970, 2817, 18, 7996, 1892, 686, 81, 68, 78, 9, 329, 686, 87, 68, 78, 2176, 204, 204, 1380, 3215, 9265, 204, 204, 15, 334, 542, 302, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 565, 1055, 705, 618, 838, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 1165, 204, 204, 15, 4429, 31, 1758, 22, 2989, 7147, 1758, 21, 39387, 69, 204, 15, 3215, 31, 1758, 5820, 2934, 69, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 3404, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 1609, 523, 275, 18888, 21594, 521, 2661, 19, 1765, 848, 1627, 17, 572, 618, 949, 275, 542, 302, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 19, 334, 1113, 542, 302, 46751, 353, 275, 1066, 302, 275, 46751, 292, 848, 1627, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 1687, 18, 1424, 18, 6702, 5696, 204, 204, 22, 19, 1606, 275, 537, 1019, 686, 51, 9, 329, 686, 48, 2176, 204, 23, 19, 1765, 848, 2871, 302, 21175, 18, 82, 842, 1493, 17, 949, 275, 933, 302, 1769, 686, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 81, 68, 78, 9, 311, 686, 87, 68, 78, 2176, 204, 24, 19, 3736, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 1609, 523, 275, 18888, 21594, 521, 2661, 19, 204, 25, 19, 1765, 848, 1627, 17, 949, 275, 542, 302, 2220, 46751, 302, 2327, 1792, 21175, 18, 82, 842, 1493, 974, 275, 5660, 2089, 1743, 18174, 96, 83, 1134, 24, 7078, 1273, 686, 83, 9, 353, 275, 542, 302, 21175, 18, 82, 842, 1493, 292, 275, 1627, 19, 204, 26, 19, 888, 275, 1113, 542, 302, 46751, 560, 17020, 275, 46751, 292, 848, 1627, 17, 10814, 686, 1003, 67, 30, 465, 1168, 2176, 204, 204, 1380, 8756, 204, 204, 3691, 5207, 204, 461, 949, 68, 38999, 981, 13, 51, 17, 1144, 17, 6591, 330, 204, 264, 314, 3736, 275, 15279, 1025, 4119, 496, 2950, 4393, 18, 14664, 204, 264, 4119, 289, 1306, 204, 264, 348, 317, 17, 468, 292, 6591, 31, 204, 268, 1627, 289, 1306, 204, 268, 348, 296, 292, 933, 13, 81, 17, 468, 465, 368, 330, 204, 305, 1627, 19, 1223, 13, 78, 14, 204, 268, 4119, 19, 1223, 13, 2207, 14, 204, 204, 264, 314, 888, 275, 542, 302, 2220, 46751, 292, 848, 1627, 204, 264, 1113, 68, 38999, 981, 289, 500, 204, 264, 348, 1627, 292, 4119, 31, 204, 268, 300, 289, 1245, 13, 2207, 14, 204, 268, 46751, 289, 500, 204, 268, 348, 296, 292, 933, 13, 83, 330, 204, 305, 348, 781, 292, 933, 13, 78, 465, 368, 17, 300, 330, 204, 485, 348, 724, 292, 933, 13, 79, 465, 368, 17, 300, 330, 204, 895, 397, 1627, 64, 78, 66, 11030, 1627, 64, 79, 66, 2186, 1144, 329, 1627, 64, 78, 66, 11030, 1627, 64, 80, 66, 2186, 1144, 329, 1627, 64, 79, 66, 11030, 1627, 64, 80, 66, 2186, 1144, 31, 204, 2058, 46751, 1412, 368, 204, 268, 1113, 68, 38999, 981, 1412, 46751, 204, 204, 264, 314, 455, 275, 1113, 542, 302, 46751, 10814, 931, 67, 30, 465, 1168, 204, 264, 407, 1113, 68, 38999, 981, 1564, 322, 1003, 777, 30, 465, 1168, 14, 204, 204, 8, 1606, 275, 537, 1019, 204, 51, 17, 1144, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 7040, 289, 551, 2644, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 348, 906, 292, 933, 13, 51, 2395, 204, 204, 8, 888, 329, 456, 275, 1113, 542, 302, 46751, 204, 2102, 13, 3446, 68, 38999, 981, 13, 51, 17, 1144, 17, 6591, 602, 204, 3691, 0, 18, 2935, 353, 275, 17294, 3269, 292, 3511, 36, 204, 18, 2935, 867, 275, 1043, 3269, 18915, 560, 14272, 329, 33259, 36, 204, 18, 10643, 353, 275, 17294, 13709, 36, 204, 18, 17182, 6860, 5899, 36, 204, 18, 17182, 9139, 1153, 8971, 1043, 36, 204, 18, 2026, 3299, 353, 275, 17294, 3477, 36, 204, 18, 2026, 3299, 353, 8971, 36, 204, 18, 2026, 3299, 353, 18461, 36, 204, 18, 10643, 353, 275, 8453, 302, 830, 9351, 36, 204, 18, 2935, 529, 275, 931, 17294, 5899, 36, 204, 18, 4208, 9340, 10212, 1194, 24412, 36, 204, 18, 4208, 8971, 10212, 1194, 9340, 36, 204, 18, 10643, 867, 275, 1043, 3269, 523, 7625, 36, 204, 18, 2935, 884, 88, 275, 23167, 4418, 3477, 292, 275, 2688, 36, 204, 18, 4208, 8971, 275, 17294, 3477, 292, 275, 2688, 36, 204, 3728, 353, 275, 17294, 3269, 292, 3511, 36, 204, 7279, 270, 1516, 673, 17294, 3556, 5052, 3269, 353, 7035, 270, 1516, 17, 329, 490, 7163, 1818, 311, 630, 3406, 571, 4589, 10355, 19, 204, 673, 17338, 8864, 496, 275, 5052, 7035, 270, 1516, 3269, 23500, 867, 275, 1144, 1282, 8817, 89, 17, 928, 867, 1193, 292, 27512, 1047, 204, 3728, 867, 275, 1043, 3269, 18915, 560, 14272, 329, 33259, 36, 204, 6031, 19812, 3269, 6714, 25627, 12464, 20801, 1110, 360, 1702, 448, 17758, 321, 823, 322, 13529, 21476, 14233, 71, 3901, 10785, 14, 5366, 496, 14272, 24873, 275, 23483, 3269, 2404, 275, 1987, 566, 4658, 33259, 2317, 382, 11481, 322, 8478, 302, 36822, 435, 31, 3787, 14, 329, 1407, 6851, 322, 13529, 21476, 571, 31, 1036, 14, 2317, 1698, 1895, 7211, 292, 23483, 19, 204, 15297, 353, 275, 17294, 13709, 36, 204, 673, 1142, 25762, 353, 437, 432, 21298, 17, 329, 1335, 25762, 2643, 869, 1742, 3250, 275, 17294, 13709, 292, 275, 2688, 17, 1910, 33854, 5438, 311, 1017, 13709, 448, 10195, 18322, 5563, 70, 412, 11704, 365, 322, 56, 640, 41073, 31, 16245, 122, 42627, 26209, 38742, 42627, 16245, 106, 31971, 28885, 6953, 112, 31, 1622, 1947, 471, 4029, 281, 19988, 1001, 659, 928, 11647, 311, 275, 6733, 496, 1163, 21631, 14029, 10701, 3651, 3511, 17, 448, 16343, 292, 275, 25762, 10370, 19, 204, 21912, 6860, 5899, 36, 204, 837, 7669, 28, 7089, 6099, 84, 21595, 19449, 14150, 73, 277, 547, 15455, 25643, 13567, 1605, 17412, 3217, 269, 275, 690, 17, 28264, 2842, 311, 7149, 7266, 3217, 2115, 6860, 1622, 531, 275, 12146, 270, 332, 1652, 27915, 5013, 402, 397, 490, 1466, 275, 4719, 3623, 17, 521, 7266, 3582, 41925, 6644, 311, 874, 1824, 1704, 2434, 523, 275, 1901, 5899, 302, 1169, 1051, 1874, 17, 10549, 5899, 1113, 19, 204, 21912, 9139, 1153, 8971, 1043, 36, 204, 34809, 6800, 26177, 779, 70, 21912, 26372, 8971, 1043, 36, 13634, 6800, 26177, 779, 70, 17, 1415, 18321, 275, 7364, 3935, 70, 44855, 292, 8449, 364, 6603, 17, 867, 275, 1043, 23882, 302, 8971, 1415, 34959, 1901, 302, 275, 7136, 9992, 3584, 1043, 19, 17182, 26372, 8971, 497, 36918, 311, 20388, 36, 204, 2920, 3299, 353, 275, 17294, 3477, 36, 204, 28, 30838, 4418, 43798, 292, 275, 5179, 46, 3084, 2317, 472, 15870, 279, 19, 27664, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 9517, 12668, 2317, 472, 15870, 887, 2682, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 5933, 2139, 31, 47626, 19, 9517, 24412, 2317, 472, 15870, 279, 19, 11818, 34269, 19, 5933, 2139, 31, 29508, 23655, 25077, 19, 9517, 44126, 2317, 472, 15870, 279, 19, 1233, 2934, 34269, 19, 9517, 8971, 2317, 472, 15870, 279, 19, 18881, 34269, 19, 9517, 9340, 2317, 472, 15870, 279, 19, 1199, 3894, 34269, 19, 9517, 12415, 2317, 472, 15870, 279, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 571, 2051, 34269, 19, 204, 2920, 3299, 353, 8971, 36, 204, 19917, 10835, 17, 1207, 2181, 40256, 353, 2941, 311, 1051, 302, 275, 17294, 45336, 292, 275, 2688, 19, 8879, 275, 21479, 302, 373, 3128, 3201, 4801, 10921, 292, 275, 860, 40138, 17, 490, 353, 11022, 496, 275, 1864, 3303, 3556, 448, 8971, 867, 43195, 5387, 10835, 17, 1207, 2181, 8518, 19, 204, 2920, 3299, 353, 18461, 36, 204, 673, 13941, 302, 275, 7504, 19280, 1259, 7988, 292, 39707, 440, 275, 794, 2151, 302, 1901, 302, 275, 8157, 29540, 1683, 275, 9354, 302, 29275, 4878, 322, 53, 4890, 27513, 18, 56, 619, 266, 1257, 14, 1025, 275, 20318, 302, 18461, 19, 18461, 26648, 20208, 310, 1257, 329, 275, 11435, 24382, 281, 5439, 322, 17683, 18172, 14, 560, 1916, 9769, 2631, 275, 12535, 395, 18, 53, 44278, 6482, 322, 2132, 3894, 18, 9769, 789, 204, 15297, 353, 275, 8453, 302, 830, 9351, 36, 204, 56, 640, 41073, 1252, 30393, 2841, 529, 1236, 11525, 24446, 302, 48514, 19, 15653, 4316, 10972, 84, 18, 38525, 3898, 84, 18, 46, 3084, 1516, 3898, 84, 18, 38, 569, 291, 48514, 29037, 798, 59, 34825, 48514, 27743, 1561, 9562, 447, 521, 3483, 21272, 19, 4222, 630, 37148, 11525, 3467, 32, 497, 368, 274, 18, 16977, 6352, 2915, 19798, 17, 5052, 292, 4109, 45147, 4432, 19283, 19, 1258, 1182, 3015, 204, 3728, 529, 275, 931, 17294, 5899, 36, 204, 1003, 30838, 4418, 43798, 292, 275, 5179, 44389, 28454, 1257, 19, 8624, 27615, 9610, 496, 44126, 353, 1051, 302, 275, 17294, 5899, 292, 275, 2688, 19, 9517, 24412, 19, 412, 1070, 1818, 311, 275, 27747, 12509, 15606, 17, 275, 3477, 302, 24412, 869, 14893, 38926, 292, 275, 24619, 302, 13100, 1697, 640, 348, 630, 3406, 720, 17, 1207, 18, 27, 17, 1207, 2181, 19, 9517, 42613, 19, 9517, 12668, 19, 9517, 12415, 19, 9517, 9340, 19, 9517, 10195, 6856, 6484, 19, 9517, 21762, 19, 13936, 2696, 5013, 8617, 204, 4947, 9340, 10212, 1194, 24412, 36, 204, 44, 821, 331, 329, 9340, 874, 23500, 348, 1910, 16023, 302, 2181, 19, 4682, 9340, 353, 1910, 2666, 5658, 1194, 24412, 490, 1856, 874, 1910, 2666, 1182, 24157, 38431, 3511, 19, 10162, 4109, 8250, 302, 9340, 1856, 874, 7196, 1048, 273, 3171, 22376, 9659, 1194, 24412, 7196, 19, 204, 4947, 8971, 10212, 1194, 9340, 36, 204, 673, 472, 864, 371, 346, 46139, 322, 41990, 40757, 555, 1257, 329, 27747, 12415, 14, 329, 27747, 8971, 529, 12551, 311, 444, 275, 17338, 19, 27747, 9340, 24979, 19542, 5287, 19, 334, 13066, 311, 928, 1422, 867, 4883, 8142, 1283, 275, 4744, 45336, 302, 275, 33978, 8934, 329, 3153, 302, 8934, 14109, 322, 40557, 8934, 14, 353, 22360, 336, 19, 204, 15297, 867, 275, 1043, 3269, 523, 7625, 36, 204, 57, 555, 362, 3269, 673, 48653, 3269, 353, 11022, 448, 275, 17294, 3269, 292, 275, 2688, 329, 490, 353, 275, 17294, 3269, 302, 275, 23815, 10593, 1516, 4316, 19, 1058, 3269, 2080, 273, 9920, 2219, 3332, 720, 17, 1207, 2181, 8518, 19, 204, 3728, 884, 88, 275, 23167, 4418, 3477, 292, 275, 2688, 36, 204, 29764, 43109, 867, 6860, 275, 794, 77, 748, 16857, 2481, 292, 275, 2688, 17, 8367, 560, 12867, 10261, 13509, 17, 34132, 17, 48570, 1257, 329, 361, 92, 13595, 19, 204, 4947, 8971, 275, 17294, 3477, 292, 275, 2688, 36, 204, 42, 11675, 353, 6028, 1051, 302, 275, 17294, 5899, 292, 275, 2688, 329, 867, 1043, 22986, 3332, 29077, 10355, 19, 334, 1043, 37912, 867, 12551, 311, 444, 18321, 3332, 571, 2051, 10355, 19, 14262, 1051, 302, 275, 2688, 884, 88, 17294, 3477, 353, 9340, 19, 9517, 8971, 353, 1425, 275, 9665, 8944, 1429, 302, 275, 2688, 884, 88, 17294, 32313, 17, 2864, 38439, 329, 25762, 2643, 19, 0, 676, 6937, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 2510, 2192, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 700, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 6937, 440, 273, 800, 700, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 339, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 577, 289, 700, 204, 268, 370, 19, 1735, 289, 443, 204, 268, 370, 19, 1633, 289, 443, 204, 204, 676, 20838, 31, 204, 264, 320, 37657, 2986, 348, 4636, 440, 2510, 7223, 1279, 204, 264, 436, 1020, 68, 1241, 68, 1270, 13, 327, 17, 1610, 31, 6937, 17, 1029, 68, 876, 31, 421, 17, 4450, 31, 421, 289, 500, 17, 2260, 68, 876, 31, 421, 289, 443, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 273, 4450, 18, 2922, 1813, 311, 1020, 275, 2260, 329, 4450, 302, 273, 944, 440, 275, 800, 700, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 790, 944, 2545, 4050, 19, 204, 305, 1029, 68, 876, 322, 339, 330, 334, 700, 302, 275, 944, 311, 1813, 348, 19, 204, 305, 4450, 322, 339, 17, 1448, 330, 334, 790, 4450, 302, 275, 1813, 19, 1243, 311, 500, 19, 204, 305, 2260, 68, 876, 322, 339, 17, 1448, 330, 334, 700, 302, 275, 2260, 944, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 2260, 700, 329, 4450, 302, 275, 1029, 944, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 314, 3301, 1322, 31, 828, 275, 2192, 353, 1392, 17, 407, 443, 204, 268, 397, 1610, 353, 443, 31, 204, 305, 407, 443, 204, 822, 268, 314, 828, 275, 790, 944, 4083, 275, 1029, 700, 17, 407, 1163, 2260, 329, 4450, 204, 268, 397, 1610, 19, 577, 564, 1029, 68, 876, 31, 204, 305, 407, 322, 3619, 68, 876, 17, 4450, 14, 204, 822, 268, 314, 8276, 1813, 275, 1824, 329, 1629, 20457, 204, 268, 1824, 68, 1300, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 19, 1735, 17, 1029, 68, 876, 17, 4450, 465, 368, 17, 1610, 19, 577, 14, 397, 1610, 19, 1735, 902, 443, 204, 268, 1629, 68, 1300, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 19, 1633, 17, 1029, 68, 876, 17, 4450, 465, 368, 17, 1610, 19, 577, 14, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 397, 1610, 19, 1735, 353, 443, 329, 1610, 19, 1633, 902, 443, 204, 822, 268, 314, 455, 275, 722, 497, 275, 1824, 521, 1629, 11309, 17, 521, 443, 397, 508, 1193, 204, 268, 407, 1824, 68, 1300, 521, 1629, 68, 1300, 204, 204, 264, 436, 529, 68, 36074, 1679, 13, 327, 17, 1610, 31, 6937, 17, 944, 22, 68, 876, 31, 421, 17, 944, 23, 68, 876, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 20783, 3855, 970, 2731, 292, 273, 2510, 2192, 529, 32663, 1679, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 1610, 302, 275, 2510, 2192, 19, 204, 305, 944, 22, 68, 876, 322, 339, 330, 334, 700, 302, 275, 1043, 944, 19, 204, 305, 944, 23, 68, 876, 322, 339, 330, 334, 700, 302, 275, 1350, 944, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 2731, 529, 32663, 1679, 17, 1078, 2130, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 2192, 353, 443, 521, 1051, 521, 1855, 2731, 529, 508, 1193, 292, 275, 2192, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 2192, 353, 443, 204, 268, 397, 1610, 353, 443, 31, 204, 305, 980, 987, 499, 3383, 2192, 353, 443, 431, 204, 822, 268, 314, 1752, 275, 2260, 329, 4450, 302, 848, 944, 204, 268, 944, 22, 68, 1270, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 17, 944, 22, 68, 876, 14, 204, 268, 944, 23, 68, 1270, 289, 370, 19, 2269, 68, 1241, 68, 1270, 13, 2125, 17, 944, 23, 68, 876, 14, 204, 822, 268, 314, 778, 397, 1855, 2731, 529, 1193, 292, 275, 2192, 204, 268, 397, 944, 22, 68, 1270, 353, 443, 521, 944, 23, 68, 1270, 353, 443, 31, 204, 305, 980, 987, 499, 5842, 521, 1855, 2731, 508, 1193, 292, 275, 2192, 431, 204, 822, 268, 314, 778, 397, 275, 2731, 529, 32663, 1679, 322, 9743, 4450, 17, 1792, 6757, 14, 204, 268, 407, 944, 22, 68, 1270, 64, 21, 66, 2167, 944, 23, 68, 1270, 64, 21, 66, 329, 944, 22, 68, 1270, 64, 22, 66, 564, 944, 23, 68, 1270, 64, 22, 66, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2510, 2192, 204, 264, 1610, 289, 6937, 13, 22, 14, 204, 264, 1610, 19, 1735, 289, 6937, 13, 23, 14, 204, 264, 1610, 19, 1633, 289, 6937, 13, 24, 14, 204, 264, 1610, 19, 1735, 19, 1735, 289, 6937, 13, 25, 14, 204, 264, 1610, 19, 1735, 19, 1633, 289, 6937, 13, 26, 14, 204, 264, 1610, 19, 1633, 19, 1735, 289, 6937, 13, 27, 14, 204, 264, 1610, 19, 1633, 19, 1633, 289, 6937, 13, 28, 14, 204, 204, 264, 314, 666, 273, 20838, 1014, 204, 264, 2192, 289, 20838, 374, 204, 204, 264, 314, 778, 397, 2731, 681, 329, 887, 529, 32663, 1679, 204, 264, 722, 289, 2192, 19, 879, 68, 36074, 1679, 13, 2125, 17, 681, 17, 887, 14, 204, 264, 456, 13, 75, 7, 18696, 2731, 681, 329, 887, 32663, 1679, 36, 463, 1300, 743, 204, 0, 658, 16190, 28456, 329, 15132, 15867, 981, 204, 204, 1380, 10721, 311, 16190, 28456, 204, 204, 38, 16190, 2231, 353, 273, 4818, 496, 1563, 292, 273, 700, 302, 3597, 521, 7463, 19, 334, 1901, 4802, 16190, 2231, 9995, 302, 273, 3324, 700, 521, 1554, 17, 273, 7448, 4708, 17, 329, 3161, 3324, 700, 521, 1554, 19, 204, 204, 1380, 25828, 39576, 204, 204, 34152, 10496, 529, 1376, 311, 5408, 1019, 292, 273, 16190, 2231, 19, 334, 1901, 2323, 7448, 10496, 529, 31, 204, 204, 15, 22684, 322, 1495, 14, 204, 15, 4275, 22684, 47900, 34, 521, 962, 35, 14, 204, 15, 33915, 38004, 322, 35, 14, 204, 15, 28457, 38004, 322, 33, 14, 204, 15, 33915, 38004, 521, 22684, 2416, 322, 17823, 14, 204, 15, 28457, 38004, 521, 22684, 2416, 322, 37530, 14, 204, 204, 1380, 16190, 16351, 9134, 204, 204, 15, 1758, 11497, 564, 388, 43, 7, 69, 204, 15, 1758, 8618, 7975, 336, 1323, 2846, 69, 204, 204, 1380, 15132, 15867, 981, 204, 204, 22197, 9901, 2512, 273, 35216, 311, 7072, 2824, 4042, 1330, 273, 4818, 1856, 444, 11529, 19, 33333, 529, 1713, 448, 16190, 7277, 19, 204, 204, 1380, 828, 20, 9538, 20, 20133, 277, 43134, 204, 204, 3719, 20, 9538, 20, 20133, 277, 8886, 529, 1376, 311, 4490, 1792, 6808, 302, 1576, 1609, 523, 273, 16190, 2231, 19, 334, 15618, 353, 31, 204, 3691, 204, 3719, 322, 8368, 2231, 14, 5512, 204, 226, 8886, 311, 444, 11529, 397, 3597, 204, 20133, 277, 204, 226, 8886, 311, 444, 11529, 397, 7463, 204, 10981, 828, 204, 3691, 204, 1380, 42198, 828, 88, 204, 204, 40434, 828, 88, 529, 1376, 311, 1356, 348, 3536, 4042, 19, 334, 15618, 353, 31, 204, 3691, 204, 3719, 322, 8368, 2231, 14, 5512, 204, 226, 828, 322, 8368, 2231, 14, 5512, 204, 264, 8886, 311, 444, 11529, 397, 1855, 3597, 204, 226, 41300, 204, 264, 8886, 311, 444, 11529, 397, 1043, 3597, 329, 1350, 7463, 204, 226, 9772, 828, 204, 20133, 277, 204, 226, 8886, 311, 444, 11529, 397, 1043, 7463, 204, 10981, 828, 204, 3691, 204, 1380, 11846, 25137, 204, 204, 673, 11846, 4147, 353, 437, 9037, 311, 10756, 828, 88, 19, 1547, 5018, 275, 4541, 5988, 311, 7260, 275, 1554, 311, 444, 13860, 17, 329, 275, 4541, 11846, 311, 16549, 275, 700, 311, 1356, 348, 19, 204, 3691, 204, 10894, 1554, 204, 226, 11846, 700, 22, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 22, 204, 226, 11846, 700, 23, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 23, 204, 226, 3168, 204, 226, 1210, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 1583, 508, 1936, 1169, 302, 275, 1713, 1019, 204, 10981, 5988, 204, 3691, 204, 1380, 32818, 33333, 204, 204, 44448, 4042, 529, 1966, 560, 17108, 16190, 7277, 440, 9273, 329, 20, 276, 9636, 10496, 19, 204, 204, 15, 9273, 3210, 1855, 4042, 1631, 444, 3597, 204, 15, 9636, 3210, 4260, 1051, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 521, 1855, 4042, 1631, 444, 3597, 204, 204, 1380, 31274, 30284, 204, 204, 26685, 1160, 5630, 529, 1376, 311, 2248, 830, 2237, 5687, 302, 13885, 1019, 329, 275, 6465, 16190, 700, 19, 204, 204, 1380, 37601, 9273, 88, 329, 9636, 88, 204, 204, 5681, 17108, 9273, 88, 329, 9636, 88, 17, 275, 9273, 4708, 353, 14416, 1043, 17, 329, 1675, 275, 9636, 4708, 19, 204, 204, 1380, 15132, 30284, 204, 204, 22197, 5630, 529, 1376, 311, 2248, 830, 2237, 5687, 302, 13885, 1019, 329, 275, 6465, 5107, 19, 204, 204, 1380, 12033, 9134, 204, 204, 28638, 5018, 275, 1758, 403, 69, 4818, 311, 3288, 6646, 9901, 19, 334, 15618, 353, 31, 204, 3691, 204, 403, 322, 8368, 2231, 14, 463, 204, 226, 8886, 311, 444, 11529, 397, 3597, 204, 98, 902, 463, 204, 226, 8886, 311, 444, 11529, 397, 7463, 204, 98, 204, 3691, 204, 28638, 1425, 5018, 275, 1758, 12263, 69, 4818, 311, 3288, 275, 11846, 4147, 19, 334, 15618, 353, 31, 204, 3691, 204, 12263, 322, 3334, 14, 463, 204, 226, 1322, 700, 22, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 22, 204, 264, 2280, 32, 204, 226, 1322, 700, 23, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 9329, 700, 23, 204, 264, 2280, 32, 204, 226, 3168, 204, 226, 1540, 31, 204, 264, 8886, 311, 444, 11529, 397, 1554, 1583, 508, 1936, 1169, 302, 275, 1713, 1019, 204, 98, 204, 3691, 204, 1380, 30414, 204, 204, 22, 19, 666, 273, 2548, 311, 949, 275, 2264, 302, 273, 3783, 2428, 1609, 523, 275, 4943, 677, 1864, 1576, 17, 3783, 542, 17, 3250, 1864, 1576, 17, 3250, 542, 17, 329, 2428, 690, 292, 4112, 19, 204, 23, 19, 666, 273, 2548, 311, 3822, 3855, 273, 2384, 353, 21772, 348, 275, 355, 291, 677, 458, 1609, 523, 1017, 33692, 19, 204, 24, 19, 666, 273, 2548, 311, 3822, 275, 2297, 302, 273, 1351, 1609, 523, 275, 4943, 677, 2852, 329, 275, 1351, 677, 2297, 19, 204, 204, 1380, 16361, 311, 22597, 204, 204, 15, 4160, 9106, 20, 36444, 4426, 16190, 7277, 521, 2558, 19, 204, 15, 16190, 7277, 722, 292, 273, 700, 302, 3597, 521, 7463, 19, 204, 15, 1974, 41180, 10496, 311, 2270, 16190, 7277, 19, 204, 15, 666, 10915, 4042, 560, 17108, 16190, 7277, 440, 9273, 329, 20, 276, 9636, 10496, 19, 0, 531, 10271, 532, 3207, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 5702, 532, 29173, 9731, 48, 14730, 204, 531, 4433, 532, 3017, 17, 5908, 17, 824, 204, 531, 4433, 68, 26762, 532, 21659, 204, 647, 8729, 204, 647, 1400, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 45251, 13, 748, 14, 204, 204, 461, 1137, 68, 935, 13, 546, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 329, 407, 1163, 1302, 329, 6729, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 752, 1302, 329, 6729, 1019, 19, 204, 264, 320, 204, 264, 314, 3594, 275, 752, 974, 10271, 204, 264, 440, 3207, 19, 3664, 13, 546, 14, 448, 3840, 31, 204, 268, 314, 763, 275, 752, 1302, 204, 268, 752, 68, 835, 289, 3840, 19, 835, 204, 268, 314, 2208, 275, 752, 311, 273, 2010, 1348, 204, 268, 6729, 68, 1309, 289, 645, 19, 643, 13, 655, 13, 3371, 19, 505, 481, 5887, 204, 268, 407, 752, 68, 835, 17, 6729, 68, 1309, 204, 204, 461, 3981, 68, 13645, 13, 10425, 68, 1309, 31, 645, 19, 766, 17, 771, 68, 8073, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 16627, 6729, 1019, 974, 19527, 19, 204, 204, 264, 457, 31, 204, 268, 6729, 68, 1309, 322, 1123, 19, 766, 330, 334, 6729, 1019, 311, 3981, 19, 204, 268, 771, 68, 8073, 322, 339, 330, 334, 542, 302, 8949, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 6729, 1769, 329, 3981, 11366, 19, 204, 264, 320, 204, 264, 314, 666, 273, 29173, 9731, 48, 14730, 570, 440, 275, 1713, 542, 302, 8949, 204, 264, 19869, 289, 29173, 9731, 48, 14730, 13, 83, 68, 8073, 34, 920, 68, 8073, 14, 204, 264, 314, 10083, 275, 570, 311, 275, 6729, 1019, 329, 2885, 275, 1769, 204, 264, 6729, 68, 2185, 289, 19869, 19, 2714, 68, 4396, 13, 10425, 68, 1309, 14, 204, 264, 314, 763, 275, 3981, 11366, 204, 264, 3981, 68, 15137, 289, 19869, 19, 5702, 68, 15137, 68, 204, 264, 407, 6729, 68, 2185, 17, 3981, 68, 15137, 204, 204, 461, 1395, 68, 481, 13, 481, 31, 645, 19, 766, 17, 6729, 68, 1309, 31, 645, 19, 766, 17, 6729, 68, 2185, 31, 645, 19, 766, 17, 7540, 68, 1190, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1716, 424, 440, 7540, 6729, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1123, 19, 766, 330, 334, 424, 311, 1395, 19, 204, 268, 6729, 68, 1309, 322, 1123, 19, 766, 330, 334, 6729, 1019, 311, 732, 348, 9683, 19, 204, 268, 6729, 68, 2185, 322, 1123, 19, 766, 330, 334, 1769, 348, 275, 6729, 1019, 19, 204, 268, 7540, 68, 1190, 322, 339, 330, 334, 1800, 302, 275, 7540, 6729, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 2908, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 3265, 302, 275, 7540, 6729, 1019, 204, 264, 7540, 68, 3992, 289, 645, 19, 3663, 13, 10425, 68, 2185, 564, 7540, 68, 1190, 14, 204, 264, 314, 1716, 275, 424, 440, 275, 7540, 6729, 1019, 204, 264, 424, 64, 28624, 68, 3992, 66, 289, 6729, 68, 1309, 64, 28624, 68, 3992, 66, 204, 264, 407, 424, 204, 204, 37, 748, 19, 3955, 4195, 986, 8121, 986, 68, 932, 17462, 2986, 4980, 5016, 2378, 204, 461, 1137, 68, 935, 68, 2923, 13, 986, 68, 932, 31, 394, 330, 204, 264, 320, 204, 264, 1385, 437, 752, 329, 407, 1163, 1302, 329, 6729, 1019, 19, 204, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 457, 31, 204, 268, 1137, 68, 932, 322, 325, 330, 334, 1187, 302, 752, 311, 1137, 322, 1957, 521, 1682, 789, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 752, 1302, 329, 6729, 1019, 19, 204, 264, 320, 204, 264, 314, 778, 275, 1137, 1187, 204, 264, 397, 1137, 68, 932, 508, 292, 2470, 1957, 491, 379, 2715, 5441, 204, 268, 407, 5908, 13, 718, 833, 1962, 1137, 1187, 534, 204, 264, 314, 763, 273, 1400, 752, 832, 204, 264, 832, 289, 1400, 19, 4352, 13, 10944, 19, 10944, 15736, 11968, 18, 2936, 31980, 5684, 3063, 204, 264, 314, 1385, 275, 752, 204, 264, 752, 68, 835, 17, 6729, 68, 1309, 289, 1137, 68, 935, 13, 546, 14, 204, 264, 314, 455, 275, 752, 1302, 329, 6729, 1019, 448, 2084, 204, 264, 407, 5908, 13, 935, 68, 835, 34, 935, 68, 835, 17, 6729, 68, 1309, 34, 10425, 68, 1309, 19, 11380, 1447, 204, 204, 37, 748, 19, 3955, 4195, 4018, 8121, 83, 68, 8073, 17462, 2986, 4980, 4252, 2378, 204, 461, 3981, 68, 8024, 13, 83, 68, 8073, 31, 421, 330, 204, 264, 320, 204, 264, 16627, 6729, 1019, 329, 407, 1848, 2914, 19, 204, 204, 264, 457, 31, 204, 268, 300, 68, 8073, 322, 339, 330, 334, 542, 302, 8949, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 1848, 2914, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6729, 1019, 497, 275, 824, 204, 264, 6729, 68, 1309, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 1309, 2378, 204, 264, 314, 16627, 275, 6729, 1019, 204, 264, 6729, 68, 2185, 17, 3981, 68, 15137, 289, 3981, 68, 13645, 13, 10425, 68, 1309, 17, 300, 68, 8073, 14, 204, 264, 314, 455, 275, 1848, 2914, 448, 2084, 204, 264, 407, 5908, 13, 2640, 68, 4018, 34, 5702, 68, 15137, 19, 11380, 1447, 204, 204, 37, 748, 19, 3955, 4195, 18513, 8121, 4352, 17462, 2986, 4980, 4252, 2378, 204, 461, 5710, 68, 2640, 13, 4352, 31, 421, 330, 204, 264, 320, 204, 264, 1716, 424, 440, 7540, 6729, 1019, 329, 407, 2908, 424, 329, 1848, 2914, 19, 204, 204, 264, 457, 31, 204, 268, 3508, 322, 339, 330, 334, 1800, 302, 275, 7540, 6729, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 5908, 31, 332, 2084, 958, 1174, 275, 2908, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 6729, 1019, 17, 1769, 17, 329, 424, 497, 275, 824, 204, 264, 6729, 68, 1309, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 1309, 2378, 204, 264, 6729, 68, 2185, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 10425, 68, 2185, 2378, 204, 264, 424, 289, 645, 19, 643, 13, 1443, 19, 1775, 736, 481, 2378, 204, 264, 314, 1716, 275, 424, 440, 275, 7540, 6729, 1019, 204, 264, 2908, 68, 481, 289, 1395, 68, 481, 13, 481, 17, 6729, 68, 1309, 17, 6729, 68, 2185, 17, 421, 13, 4352, 602, 204, 264, 314, 455, 275, 2908, 424, 448, 2084, 204, 264, 407, 5908, 13, 10425, 68, 1309, 34, 8107, 68, 481, 19, 11380, 1447, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 17305, 61, 346, 14841, 18, 1909, 25178, 204, 17305, 61, 346, 14841, 18, 1909, 17, 1425, 3556, 448, 8257, 61, 18, 1909, 17, 353, 273, 33051, 2025, 2315, 398, 18213, 8544, 9737, 311, 275, 9755, 11036, 17320, 7829, 311, 11037, 17, 9815, 7500, 427, 17, 11794, 630, 720, 31, 7879, 3315, 471, 1185, 40795, 273, 40261, 1233, 19403, 19, 332, 11036, 61, 40261, 1233, 19403, 1120, 11037, 275, 3139, 427, 9737, 302, 273, 43668, 22873, 523, 11036, 61, 884, 88, 2153, 427, 25149, 22658, 12364, 8933, 311, 275, 9755, 11036, 17320, 19, 334, 8933, 353, 2545, 13013, 1683, 275, 33051, 2025, 2315, 398, 18213, 19158, 7528, 440, 14475, 19, 1058, 9737, 1120, 732, 273, 12650, 18, 2788, 83, 2254, 681, 1043, 7341, 710, 15104, 329, 273, 304, 5293, 43668, 32539, 19, 204, 11625, 336, 440, 1182, 1194, 720, 17, 17244, 9513, 302, 3793, 17, 20688, 17627, 17, 329, 15875, 17, 275, 11036, 61, 43668, 22873, 1120, 11037, 523, 273, 40261, 1233, 19403, 497, 11036, 25178, 12503, 2846, 630, 29169, 4128, 21644, 281, 10122, 13108, 17320, 292, 17126, 19, 14614, 931, 4112, 1877, 11037, 17, 43668, 14169, 1163, 35537, 12181, 17, 630, 928, 917, 490, 1120, 13383, 1163, 9001, 6946, 329, 4959, 273, 15858, 556, 573, 84, 861, 35272, 3196, 302, 22854, 2636, 45558, 880, 311, 5288, 275, 9755, 11036, 17320, 19, 204, 837, 4998, 311, 20825, 3793, 311, 275, 6297, 17, 275, 43668, 884, 88, 794, 4321, 298, 1491, 27539, 353, 17803, 273, 717, 17567, 18, 18451, 480, 993, 299, 9772, 23028, 4605, 521, 480, 13799, 19, 1058, 717, 480, 13799, 353, 2545, 17434, 448, 273, 35349, 311, 4066, 275, 5585, 2350, 36544, 5748, 1882, 273, 3196, 302, 2817, 38777, 292, 275, 5573, 302, 6894, 19, 7616, 1136, 302, 275, 4128, 364, 3040, 23, 37466, 9739, 869, 437, 13341, 480, 13799, 17, 329, 1250, 529, 1376, 448, 275, 1622, 27971, 1001, 496, 1065, 38281, 2761, 5569, 329, 22864, 22658, 5685, 42787, 19, 3433, 1425, 9393, 4128, 364, 3040, 23, 311, 1622, 11105, 1001, 311, 1792, 7777, 523, 275, 43734, 685, 2288, 17, 2864, 11053, 884, 88, 21956, 3301, 17, 928, 16913, 4558, 753, 1331, 523, 275, 2817, 6297, 884, 88, 667, 12346, 333, 19, 204, 3837, 1120, 3074, 2327, 3054, 311, 5288, 275, 2817, 6297, 17, 1273, 490, 1120, 21402, 19528, 17, 10228, 435, 19, 14475, 26186, 361, 1162, 94, 39842, 929, 17, 39706, 719, 560, 20478, 14475, 26186, 412, 10543, 6487, 707, 404, 17, 1120, 29768, 594, 275, 2661, 302, 275, 4128, 364, 3040, 23, 37466, 9739, 348, 43668, 884, 88, 5656, 1335, 14475, 26186, 3983, 17191, 332, 90, 21122, 16725, 18, 1571, 525, 953, 276, 34713, 275, 22873, 884, 88, 5194, 19, 6917, 43668, 5656, 17, 4410, 5453, 1120, 444, 2312, 497, 9737, 3326, 292, 39063, 348, 275, 6297, 884, 88, 9739, 311, 11774, 329, 6348, 490, 523, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 5533, 302, 275, 6297, 884, 88, 8705, 43324, 2413, 19, 204, 38, 11502, 302, 275, 12471, 496, 1120, 444, 2312, 311, 275, 30468, 523, 275, 346, 14841, 18, 1909, 9737, 2255, 346, 8281, 1000, 329, 5370, 22775, 19, 3665, 618, 4309, 1182, 1465, 1605, 12471, 5084, 19, 204, 22307, 6724, 17, 292, 24272, 440, 30962, 17, 353, 9218, 346, 8281, 1000, 322, 9313, 92, 38774, 12714, 7679, 2001, 291, 936, 51, 659, 437, 14284, 18, 6070, 21437, 348, 36544, 348, 275, 412, 16709, 11036, 21139, 19, 334, 6309, 3514, 730, 17, 928, 353, 275, 1302, 302, 273, 11636, 4279, 329, 28635, 3332, 720, 5279, 17, 1120, 444, 13320, 523, 275, 30468, 560, 23415, 6252, 274, 1882, 275, 9618, 11036, 19404, 884, 88, 14502, 410, 2527, 9737, 1283, 9815, 329, 11261, 11794, 19, 204, 41, 16709, 6138, 30133, 299, 28940, 1067, 20989, 39694, 322, 1557, 22775, 14, 204, 673, 7089, 11036, 19404, 322, 41, 16709, 14, 6138, 30133, 299, 28940, 1067, 20989, 39694, 322, 1557, 22775, 14, 5018, 275, 12022, 1570, 6320, 39694, 2725, 7531, 1080, 2417, 9417, 348, 275, 18773, 933, 302, 5953, 18, 5758, 23985, 17, 928, 6019, 275, 4954, 311, 4789, 34142, 11651, 322, 39612, 18, 51, 9481, 789, 334, 1561, 2048, 2255, 273, 2001, 773, 4147, 440, 273, 16034, 542, 302, 19014, 4550, 322, 28894, 17, 46079, 17, 4408, 12237, 17, 16453, 357, 6124, 329, 24732, 9823, 4154, 15037, 4154, 277, 4432, 271, 18438, 551, 40, 39903, 66, 1348, 10780, 789, 45567, 17, 8810, 19825, 14885, 8985, 322, 22824, 707, 17, 7249, 21737, 17, 3264, 3284, 14, 440, 10244, 1242, 329, 16034, 995, 270, 4579, 19, 8257, 18562, 4408, 12237, 17, 928, 25040, 734, 4169, 1070, 329, 23429, 5163, 1154, 19, 852, 13053, 357, 6124, 448, 29871, 1103, 17, 275, 9029, 11689, 302, 275, 6320, 39694, 630, 2223, 13283, 329, 18773, 8352, 719, 311, 273, 10244, 18243, 6258, 19, 4585, 5795, 7784, 20941, 2105, 3680, 302, 275, 357, 6124, 11337, 311, 4151, 31170, 302, 275, 1350, 18, 1115, 11651, 329, 2311, 40326, 17192, 19, 2001, 773, 440, 4542, 19014, 1842, 19, 45567, 8810, 19825, 14885, 322, 11968, 292, 5150, 329, 2308, 14, 440, 437, 7510, 995, 270, 2446, 18, 8382, 4368, 19, 501, 6124, 448, 273, 29871, 1103, 6876, 273, 2223, 13283, 329, 18773, 8352, 302, 275, 6320, 39694, 311, 273, 3060, 22885, 18243, 6258, 4147, 19, 4585, 5795, 7784, 20941, 2105, 3680, 302, 275, 357, 6124, 928, 11337, 311, 273, 31170, 302, 275, 1350, 1552, 302, 275, 11651, 329, 16034, 40326, 17192, 19, 41416, 628, 6906, 18, 51, 9481, 10780, 1609, 523, 275, 3440, 302, 273, 717, 9693, 24574, 10780, 19, 10074, 19303, 537, 12237, 6876, 275, 2652, 302, 275, 24755, 2746, 292, 275, 8933, 2945, 19, 204, 3070, 1182, 12471, 329, 17627, 2545, 2312, 311, 275, 9755, 11036, 17320, 17, 6321, 14475, 884, 88, 1472, 630, 10447, 1963, 4537, 19, 41704, 19, 13942, 20, 4321, 18, 8242, 20, 2816, 93, 18, 32459, 18, 1909, 18, 71, 7762, 880, 18, 416, 18, 6316, 19, 204, 3244, 2388, 497, 275, 346, 14841, 18, 1909, 9737, 523, 2077, 9737, 17980, 1472, 19, 0, 658, 3239, 1168, 3534, 28, 204, 204, 28, 3534, 28, 353, 437, 4069, 17, 3420, 18, 4289, 2727, 542, 19, 716, 204, 1380, 11490, 12636, 204, 204, 18, 930, 4947, 13095, 1416, 14580, 204, 18, 930, 4290, 32950, 1416, 21766, 204, 18, 930, 4290, 10217, 1416, 681, 3258, 204, 18, 930, 7279, 302, 27199, 1416, 5789, 204, 18, 930, 23514, 11404, 1416, 1132, 204, 204, 1380, 13095, 25262, 204, 204, 673, 2727, 13216, 302, 1168, 3534, 28, 353, 7493, 1168, 3534, 28, 17, 448, 490, 353, 273, 2727, 542, 5398, 19, 1058, 3210, 490, 869, 273, 1113, 302, 368, 2727, 2479, 19, 204, 204, 1380, 25870, 204, 204, 28, 3534, 28, 869, 435, 7633, 31, 368, 329, 1168, 3534, 28, 19, 334, 1066, 302, 1605, 7633, 353, 1168, 3534, 29, 19, 204, 204, 1380, 5898, 19898, 10860, 204, 204, 18, 930, 25835, 677, 35511, 5867, 322, 16066, 13, 83, 21333, 1168, 48726, 17, 928, 353, 275, 1113, 542, 302, 2140, 1892, 508, 3114, 1194, 1168, 3534, 28, 496, 529, 20286, 311, 1168, 3534, 28, 19, 204, 18, 930, 36948, 17418, 322, 11606, 13, 83, 21333, 1168, 48726, 17, 275, 5527, 2140, 542, 1702, 496, 273, 67, 11606, 13, 83, 14, 19754, 368, 322, 2272, 300, 14, 348, 830, 273, 20286, 311, 300, 19, 204, 18, 930, 19214, 8149, 322, 3080, 13, 83, 21333, 32781, 1233, 6007, 17, 275, 1113, 542, 302, 10788, 2202, 1194, 521, 1936, 311, 1168, 3534, 28, 19, 204, 204, 1380, 3301, 16992, 204, 204, 28, 3534, 28, 618, 444, 6717, 292, 1792, 12442, 448, 6353, 31, 204, 18, 8870, 31, 18131, 2051, 31061, 10986, 204, 18, 44210, 31, 14382, 1258, 8409, 204, 18, 43338, 31, 22553, 1003, 5639, 204, 18, 48587, 31, 5436, 14768, 204, 18, 48835, 31, 44099, 1511, 204, 18, 38185, 31, 3139, 23075, 204, 18, 10861, 31, 1168, 3534, 28, 204, 18, 48595, 31, 5487, 70, 26, 204, 18, 35282, 27223, 31, 781, 28, 77, 204, 18, 3301, 3701, 31, 720, 16306, 204, 204, 1380, 11490, 23759, 204, 204, 3971, 14579, 204, 18, 1168, 3534, 28, 2771, 435, 289, 31595, 2300, 204, 18, 1168, 3534, 28, 2771, 571, 289, 47922, 9769, 204, 18, 1168, 3534, 28, 2771, 681, 289, 41379, 4023, 204, 18, 1168, 3534, 28, 2771, 720, 289, 10785, 40011, 204, 204, 3971, 11942, 204, 18, 1168, 3534, 28, 7410, 435, 289, 10785, 4088, 19, 26, 204, 18, 1168, 3534, 28, 7410, 571, 289, 2019, 6007, 19, 5645, 204, 18, 1168, 3534, 28, 7410, 681, 289, 33584, 19, 1511, 204, 18, 1168, 3534, 28, 7410, 720, 289, 2153, 9320, 19, 25, 204, 204, 3971, 39324, 204, 18, 1168, 3534, 28, 67, 23, 289, 3382, 2314, 1003, 7298, 204, 18, 1168, 3534, 28, 67, 24, 289, 681, 4920, 9706, 6996, 19920, 7723, 204, 18, 1168, 3534, 28, 67, 25, 289, 5075, 1036, 31440, 2353, 6074, 2682, 21972, 204, 18, 1168, 3534, 28, 67, 26, 289, 24854, 6304, 2562, 27, 1036, 15052, 9706, 2188, 4656, 28, 204, 204, 3971, 37972, 11404, 204, 18, 3849, 28, 3534, 28, 289, 16348, 19, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1359, 275, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1034, 1274, 497, 275, 1964, 1554, 521, 732, 275, 1540, 700, 204, 264, 1034, 68, 805, 289, 1127, 19, 12868, 499, 16779, 18803, 68, 8589, 68, 3778, 528, 6040, 431, 204, 615, 264, 314, 9251, 275, 1034, 1274, 7036, 440, 273, 31383, 204, 264, 397, 508, 1034, 68, 805, 19, 7209, 6343, 6471, 204, 268, 1034, 68, 805, 289, 34635, 465, 1034, 68, 805, 204, 615, 264, 314, 1359, 275, 1034, 1274, 292, 275, 1586, 397, 490, 677, 508, 275, 1540, 700, 204, 264, 397, 1034, 68, 805, 2167, 6040, 559, 204, 268, 954, 19, 47861, 3543, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 615, 264, 407, 1034, 68, 805, 204, 204, 461, 5327, 68, 43757, 1079, 68, 43032, 88, 13, 1087, 31, 1135, 17, 1034, 68, 805, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 40931, 16253, 382, 1126, 88, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 268, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 348, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 968, 275, 382, 1126, 88, 348, 40931, 16253, 204, 264, 954, 19, 47, 34620, 16253, 46, 1126, 19, 43032, 88, 289, 551, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 3711, 286, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 3052, 481, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 91, 13388, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 13790, 2083, 491, 204, 268, 1034, 68, 805, 465, 379, 7010, 20, 5010, 12, 204, 264, 2437, 204, 204, 461, 5327, 68, 43757, 1079, 68, 13623, 13, 1087, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 40931, 16253, 14376, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 14376, 1445, 2560, 204, 264, 397, 1127, 19, 546, 19, 4332, 4195, 17135, 20, 13623, 4448, 204, 268, 314, 1359, 275, 2399, 7887, 329, 16485, 275, 1540, 14376, 204, 268, 954, 19, 47, 34620, 16253, 44165, 19, 3143, 68, 14175, 289, 2470, 20, 17135, 20, 13623, 839, 204, 268, 954, 19, 47, 34620, 16253, 44165, 19, 10203, 68, 2305, 289, 1078, 204, 204, 461, 1900, 68, 327, 68, 15358, 68, 19694, 13, 1087, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2069, 273, 370, 18, 15358, 11590, 348, 275, 40931, 40635, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 954, 322, 873, 330, 334, 40931, 40635, 1981, 1586, 19, 204, 264, 320, 204, 264, 314, 763, 275, 40931, 424, 1445, 204, 264, 7892, 68, 417, 289, 781, 34620, 68, 481, 68, 1217, 374, 204, 615, 264, 314, 968, 275, 832, 311, 275, 11590, 510, 204, 264, 284, 547, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 1217, 68, 417, 17, 379, 20963, 19, 29015, 534, 204, 615, 264, 314, 666, 275, 1445, 397, 490, 5409, 2964, 1337, 204, 264, 810, 31, 204, 268, 1127, 19, 8240, 13, 1217, 68, 417, 14, 204, 264, 827, 12368, 448, 6926, 31, 204, 268, 397, 6926, 19, 40835, 564, 9981, 1625, 19, 42, 5048, 5895, 329, 1127, 19, 546, 19, 16249, 13, 1217, 68, 417, 330, 204, 305, 1879, 204, 268, 902, 31, 204, 305, 980, 204, 615, 264, 314, 2069, 275, 370, 18, 15358, 11590, 204, 264, 4845, 19, 2555, 68, 2960, 1568, 204, 268, 379, 3664, 16037, 491, 379, 5711, 491, 6159, 1957, 491, 204, 268, 6159, 1957, 644, 491, 379, 33318, 31, 30344, 491, 204, 268, 6159, 4936, 491, 379, 20925, 491, 204, 268, 6159, 3076, 491, 6159, 93, 28501, 491, 204, 268, 6159, 1509, 79, 491, 5014, 40, 34, 9589, 20, 1185, 34, 9589, 20, 49, 34, 9589, 20, 52, 34, 18074, 20, 14522, 34, 18074, 491, 204, 268, 6159, 644, 607, 491, 284, 547, 68, 553, 17, 204, 268, 6159, 607, 491, 284, 547, 68, 553, 204, 264, 9174, 204, 615, 264, 314, 1359, 275, 10670, 348, 275, 11590, 510, 204, 264, 1127, 19, 366, 2272, 13, 29015, 68, 553, 17, 9161, 19, 56, 68, 9481, 3322, 55, 1152, 9161, 19, 56, 68, 46, 60, 3322, 55, 14, 204, 615, 264, 314, 1359, 275, 11590, 510, 292, 275, 1586, 204, 264, 954, 19, 47861, 3543, 19, 13323, 553, 289, 284, 547, 68, 553, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 26402, 275, 40931, 40635, 1981, 19, 204, 264, 320, 204, 264, 314, 6153, 275, 40931, 40635, 1981, 204, 264, 954, 289, 5327, 68, 20963, 68, 2923, 374, 204, 615, 264, 314, 1359, 275, 1034, 1274, 204, 264, 1034, 68, 805, 289, 758, 68, 772, 68, 805, 13, 1087, 14, 204, 615, 264, 314, 6153, 40931, 16253, 382, 1126, 88, 204, 264, 5327, 68, 43757, 1079, 68, 43032, 88, 13, 1087, 17, 1034, 68, 805, 14, 204, 615, 264, 314, 6153, 40931, 16253, 14376, 204, 264, 5327, 68, 43757, 1079, 68, 13623, 13, 1087, 14, 204, 615, 264, 314, 2069, 273, 370, 18, 15358, 11590, 397, 13112, 204, 264, 397, 379, 19044, 68, 48869, 12, 292, 1127, 19, 4969, 31, 204, 268, 1900, 68, 327, 68, 15358, 68, 19694, 13, 1087, 14, 204, 615, 264, 314, 1359, 275, 14578, 1010, 397, 13112, 204, 264, 397, 379, 15890, 68, 58, 31143, 12, 292, 1127, 19, 4969, 31, 204, 268, 1127, 19, 328, 1010, 13, 339, 13, 865, 19, 4969, 736, 15890, 68, 58, 31143, 2043, 1132, 602, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 949, 68, 3569, 640, 13, 1630, 31, 458, 64, 339, 694, 393, 927, 64, 996, 17, 818, 744, 204, 264, 320, 204, 264, 888, 275, 3124, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 329, 3482, 36831, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 264, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 264, 332, 927, 1174, 275, 3124, 329, 3482, 36831, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 458, 353, 1392, 204, 264, 397, 508, 886, 31, 204, 268, 980, 987, 499, 3383, 458, 353, 1392, 431, 204, 204, 264, 314, 4641, 275, 458, 302, 886, 292, 9472, 1552, 204, 264, 2282, 68, 1630, 289, 2282, 13, 1630, 14, 204, 264, 4210, 289, 1245, 13, 5518, 68, 1630, 14, 3166, 435, 204, 204, 264, 314, 888, 275, 3124, 329, 3482, 36831, 204, 264, 397, 1245, 13, 5518, 68, 1630, 14, 1564, 435, 564, 500, 31, 204, 268, 314, 828, 275, 1277, 302, 275, 458, 353, 2219, 17, 275, 3124, 6716, 353, 275, 2480, 302, 275, 970, 4876, 886, 204, 268, 3124, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 338, 368, 66, 204, 268, 3482, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 66, 204, 264, 902, 31, 204, 268, 314, 828, 275, 1277, 302, 275, 458, 353, 4069, 17, 275, 3124, 329, 3482, 36831, 529, 275, 1729, 204, 268, 3124, 68, 11591, 289, 3482, 68, 11591, 289, 2282, 68, 1630, 64, 6607, 66, 204, 204, 264, 407, 3124, 68, 11591, 17, 3482, 68, 11591, 204, 204, 204, 461, 456, 68, 3569, 640, 13, 6228, 68, 1630, 31, 458, 64, 339, 648, 3124, 68, 11591, 31, 818, 17, 3482, 68, 11591, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 9029, 6716, 348, 848, 542, 292, 275, 2171, 458, 19, 204, 204, 264, 457, 31, 204, 264, 2171, 68, 1630, 31, 334, 2171, 458, 302, 886, 19, 204, 264, 3124, 68, 11591, 31, 334, 3124, 6716, 19, 204, 264, 3482, 68, 11591, 31, 334, 3482, 6716, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 848, 542, 292, 275, 2171, 458, 204, 264, 348, 771, 292, 2171, 68, 1630, 31, 204, 268, 314, 1198, 275, 3482, 6716, 397, 275, 542, 353, 2202, 1194, 521, 1936, 311, 275, 3124, 6716, 17, 2130, 456, 275, 3124, 6716, 204, 268, 456, 13, 5231, 68, 11591, 397, 771, 2186, 3124, 68, 11591, 902, 3124, 68, 11591, 14, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 763, 275, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 542, 302, 1842, 497, 275, 575, 204, 305, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 204, 305, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 305, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 886, 5289, 560, 2817, 31, 6165, 1590, 5887, 204, 204, 305, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 537, 204, 305, 397, 1245, 13, 1630, 14, 2167, 771, 68, 3337, 31, 204, 485, 456, 499, 673, 542, 302, 1842, 1583, 508, 2216, 275, 537, 1280, 204, 305, 902, 31, 204, 485, 407, 886, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 1892, 1698, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 264, 886, 289, 636, 68, 816, 68, 768, 374, 204, 204, 264, 810, 31, 204, 268, 314, 888, 275, 3124, 329, 3482, 36831, 204, 268, 3124, 68, 11591, 17, 3482, 68, 11591, 289, 949, 68, 3569, 640, 13, 1630, 14, 204, 204, 268, 314, 1198, 275, 9029, 6716, 348, 848, 542, 292, 275, 2171, 458, 204, 268, 456, 68, 3569, 640, 13, 1630, 17, 3124, 68, 11591, 17, 3482, 68, 11591, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 6988, 532, 27462, 204, 204, 461, 2037, 68, 492, 68, 271, 68, 18794, 68, 10827, 13, 492, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 275, 800, 1068, 974, 273, 11330, 6988, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 311, 444, 11656, 523, 275, 11330, 6988, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 16390, 275, 1068, 19, 204, 264, 320, 204, 264, 314, 666, 273, 11330, 6988, 1014, 204, 264, 11330, 68, 10827, 31, 27462, 289, 27462, 19, 44329, 16271, 374, 204, 615, 264, 810, 31, 204, 268, 314, 3289, 311, 2037, 275, 1068, 523, 275, 11330, 6988, 204, 268, 11330, 68, 10827, 19, 14625, 3430, 13, 492, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1068, 2037, 204, 268, 456, 13, 75, 7, 596, 16390, 1068, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2037, 68, 492, 68, 271, 68, 18794, 68, 10827, 499, 5975, 17, 5179, 5397, 204, 0, 676, 2221, 989, 31, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 575, 677, 588, 19, 204, 268, 5132, 322, 339, 330, 334, 575, 677, 5132, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 5132, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 2221, 989, 850, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 575, 677, 588, 19, 204, 305, 5132, 322, 339, 330, 334, 575, 677, 5132, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 15389, 289, 5132, 204, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 436, 456, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 575, 677, 424, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 417, 743, 204, 268, 456, 13, 75, 7, 39778, 31, 463, 327, 19, 15389, 743, 204, 204, 204, 676, 2221, 7073, 31, 204, 264, 320, 204, 264, 2646, 273, 1104, 302, 3612, 19, 204, 204, 264, 1532, 31, 204, 268, 3612, 322, 873, 330, 332, 955, 302, 3612, 1273, 275, 896, 353, 275, 575, 1222, 329, 275, 700, 353, 275, 575, 424, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 1014, 302, 275, 2221, 7073, 850, 19, 204, 268, 320, 204, 268, 370, 19, 4162, 289, 2087, 204, 204, 264, 436, 881, 68, 816, 13, 327, 17, 575, 68, 359, 31, 421, 17, 575, 68, 481, 31, 2221, 989, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 575, 311, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 334, 575, 677, 1222, 19, 204, 305, 575, 68, 481, 322, 2491, 989, 330, 334, 575, 677, 424, 19, 204, 268, 320, 204, 268, 370, 19, 4162, 64, 816, 68, 359, 66, 289, 575, 68, 481, 204, 204, 264, 436, 456, 68, 816, 68, 481, 13, 327, 17, 575, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 575, 677, 424, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 334, 575, 677, 1222, 19, 204, 268, 320, 204, 268, 397, 575, 68, 359, 292, 370, 19, 4162, 31, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 18594, 204, 305, 370, 19, 4162, 64, 816, 68, 359, 1664, 2102, 68, 481, 374, 204, 305, 456, 374, 204, 268, 902, 31, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 98, 508, 1193, 1280, 204, 204, 264, 436, 456, 68, 668, 68, 4162, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 3612, 12, 424, 19, 204, 268, 320, 204, 268, 348, 575, 68, 359, 17, 575, 68, 481, 292, 370, 19, 4162, 19, 1996, 1293, 204, 305, 456, 13, 75, 7, 2491, 463, 816, 68, 359, 18594, 204, 305, 575, 68, 481, 19, 2102, 68, 481, 374, 204, 305, 456, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 575, 1104, 204, 264, 1104, 289, 2221, 7073, 374, 204, 204, 264, 314, 666, 3612, 204, 264, 575, 22, 289, 2221, 989, 499, 39, 1816, 1013, 528, 2031, 14, 204, 264, 575, 23, 289, 2221, 989, 499, 34349, 1257, 528, 6562, 14, 204, 264, 575, 24, 289, 2221, 989, 499, 25613, 6089, 528, 5953, 14, 204, 204, 264, 314, 1255, 3612, 311, 275, 1104, 204, 264, 1104, 19, 826, 68, 816, 13, 22, 17, 575, 22, 14, 204, 264, 1104, 19, 826, 68, 816, 13, 23, 17, 575, 23, 14, 204, 264, 1104, 19, 826, 68, 816, 13, 24, 17, 575, 24, 14, 204, 204, 264, 314, 1198, 830, 3612, 204, 264, 456, 499, 5797, 22865, 2212, 204, 264, 1104, 19, 2102, 68, 668, 68, 4162, 374, 204, 204, 264, 314, 1198, 273, 2824, 575, 204, 264, 456, 3273, 83, 38547, 2221, 2212, 204, 264, 1104, 19, 2102, 68, 816, 68, 481, 13, 23, 14, 204, 204, 264, 314, 1198, 273, 1950, 18, 16267, 575, 204, 264, 456, 3273, 83, 16632, 18, 9084, 319, 2221, 2212, 204, 264, 1104, 19, 2102, 68, 816, 68, 481, 13, 25, 14, 204, 0, 531, 479, 3804, 532, 19053, 17, 3746, 204, 531, 479, 3804, 19, 2816, 532, 12211, 204, 531, 1498, 532, 1884, 204, 204, 676, 13940, 39, 1115, 9282, 13, 9282, 330, 204, 264, 320, 204, 264, 1346, 4748, 2457, 273, 8906, 523, 437, 11918, 19, 204, 204, 264, 1532, 31, 204, 268, 1050, 322, 2983, 64, 339, 17, 421, 1037, 334, 1502, 302, 275, 4748, 523, 275, 11918, 19, 204, 268, 570, 322, 4947, 2706, 1655, 330, 334, 570, 496, 275, 4748, 11038, 311, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2220, 68, 359, 31, 421, 17, 1050, 31, 1884, 64, 339, 17, 421, 648, 570, 31, 379, 4947, 2706, 1655, 4448, 204, 268, 320, 204, 268, 1865, 437, 13940, 39, 1115, 9282, 19, 204, 204, 268, 457, 31, 204, 305, 2220, 68, 359, 322, 339, 330, 334, 2220, 1222, 302, 275, 4748, 19, 204, 305, 1050, 322, 2983, 64, 339, 17, 421, 1037, 334, 1502, 302, 275, 4748, 523, 275, 11918, 19, 204, 305, 570, 322, 4947, 2706, 1655, 330, 334, 570, 496, 275, 4748, 11038, 311, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5271, 68, 359, 17, 570, 14, 204, 268, 370, 19, 1075, 31, 1884, 64, 339, 17, 421, 66, 289, 1050, 204, 204, 264, 436, 1660, 13, 327, 330, 204, 268, 320, 204, 268, 6339, 311, 444, 3250, 630, 848, 1660, 302, 275, 570, 19, 204, 268, 320, 204, 268, 314, 1165, 31, 5360, 275, 4748, 311, 273, 1400, 13518, 2092, 204, 268, 2237, 68, 10021, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 2395, 204, 268, 2284, 289, 370, 19, 2017, 19, 4352, 13, 16498, 68, 10021, 14, 204, 268, 717, 68, 1075, 289, 322, 327, 19, 1075, 64, 21, 66, 465, 2284, 64, 21, 648, 370, 19, 1075, 64, 22, 66, 465, 2284, 64, 22, 694, 204, 822, 268, 314, 778, 397, 275, 717, 1502, 353, 2614, 275, 2333, 10873, 204, 268, 397, 322, 21, 2186, 717, 68, 1075, 64, 21, 66, 962, 370, 19, 809, 19, 2700, 19, 2435, 14, 329, 322, 21, 2186, 717, 68, 1075, 64, 22, 66, 962, 370, 19, 809, 19, 2700, 19, 2757, 330, 204, 305, 370, 19, 809, 19, 2700, 19, 1766, 68, 6424, 13, 327, 17, 717, 68, 1075, 14, 204, 204, 204, 676, 13940, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1655, 13, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 437, 11918, 440, 273, 8906, 19, 204, 204, 264, 1532, 31, 204, 268, 2333, 322, 12398, 330, 334, 2333, 2457, 275, 11918, 19, 204, 268, 8906, 68, 15857, 322, 655, 330, 332, 458, 302, 13940, 39, 1115, 9282, 5644, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2198, 31, 421, 17, 1853, 31, 421, 17, 771, 68, 16131, 68, 15857, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 437, 13940, 1655, 19, 204, 204, 268, 457, 31, 204, 305, 2198, 322, 339, 330, 334, 2198, 302, 275, 2333, 19, 204, 305, 1853, 322, 339, 330, 334, 1853, 302, 275, 2333, 19, 204, 305, 771, 68, 16131, 68, 15857, 322, 339, 330, 334, 542, 302, 8906, 12426, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 6203, 204, 268, 370, 19, 2700, 289, 12211, 13, 2435, 17, 1853, 17, 9795, 354, 34, 1975, 14, 204, 268, 370, 19, 16131, 68, 15857, 289, 1306, 204, 822, 268, 314, 666, 8906, 12426, 329, 2481, 1475, 630, 1400, 4738, 523, 275, 2333, 204, 268, 348, 906, 292, 933, 13, 920, 68, 16131, 68, 15857, 330, 204, 305, 1050, 289, 322, 327, 19, 2017, 19, 5574, 13, 21, 17, 2198, 338, 368, 659, 370, 19, 2017, 19, 5574, 13, 21, 17, 1853, 338, 368, 602, 204, 305, 4748, 289, 13940, 39, 1115, 9282, 13, 327, 19, 2715, 68, 359, 2144, 1050, 17, 370, 14, 204, 305, 370, 19, 2700, 19, 1721, 68, 6424, 13, 6424, 17, 1050, 14, 204, 305, 370, 19, 16131, 68, 15857, 19, 1223, 13, 6424, 14, 204, 204, 264, 436, 1660, 13, 327, 330, 204, 268, 320, 204, 268, 6339, 311, 444, 3250, 630, 848, 1660, 302, 275, 570, 19, 204, 268, 320, 204, 268, 314, 1687, 848, 8906, 4748, 204, 268, 348, 4748, 292, 370, 19, 16131, 68, 15857, 31, 204, 305, 4748, 19, 2290, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 570, 289, 13940, 1655, 13, 1003, 17, 931, 17, 720, 14, 204, 264, 348, 906, 292, 933, 13, 1003, 330, 204, 268, 570, 19, 2290, 374, 204, 268, 456, 499, 39, 1115, 12426, 12, 4738, 2212, 204, 268, 348, 4748, 292, 570, 19, 16131, 68, 15857, 31, 204, 305, 456, 13, 6424, 19, 1075, 14, 204, 0, 13084, 618, 275, 1581, 302, 273, 1007, 444, 5052, 448, 7269, 70, 68, 23, 338, 273, 68, 22, 3085, 94, 338, 308, 68, 22, 14, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 3920, 36, 204, 204, 673, 1581, 4504, 273, 1007, 12056, 1924, 970, 1728, 7269, 70, 68, 22, 17, 308, 68, 22, 3920, 329, 7269, 70, 68, 23, 17, 308, 68, 23, 7891, 2416, 3126, 5566, 808, 1581, 5994, 17, 2249, 677, 1012, 440, 275, 917, 18, 14776, 798, 302, 273, 1007, 31, 686, 94, 338, 469, 68, 22, 289, 309, 13, 93, 338, 610, 68, 22, 9852, 1273, 7269, 93, 68, 22, 17, 469, 68, 22, 3920, 353, 273, 917, 523, 275, 1007, 329, 686, 82, 9, 353, 275, 5372, 19, 204, 204, 4377, 970, 7656, 1728, 523, 275, 1007, 17, 7269, 70, 68, 22, 17, 308, 68, 22, 3920, 329, 7269, 70, 68, 23, 17, 308, 68, 23, 9852, 572, 618, 1020, 275, 5372, 686, 82, 289, 688, 1209, 96, 71, 68, 23, 338, 308, 68, 22, 1134, 70, 68, 23, 338, 273, 68, 22, 7078, 1330, 686, 70, 68, 22, 688, 19484, 273, 68, 23, 2176, 4496, 1051, 302, 1605, 1728, 17, 7269, 70, 68, 22, 17, 308, 68, 22, 9852, 572, 618, 2281, 275, 1007, 1581, 440, 5372, 448, 686, 94, 338, 308, 68, 22, 289, 688, 1209, 96, 71, 68, 23, 338, 308, 68, 22, 1134, 70, 68, 23, 338, 273, 68, 22, 7293, 93, 338, 273, 68, 22, 7891, 204, 204, 22167, 1855, 2902, 560, 7269, 70, 68, 23, 338, 273, 68, 22, 3920, 4658, 451, 7269, 70, 68, 23, 338, 273, 68, 22, 3085, 94, 338, 308, 68, 22, 14, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 9852, 928, 353, 275, 6736, 1581, 19, 204, 204, 1834, 1581, 353, 7562, 2404, 490, 6876, 348, 275, 2355, 302, 830, 2238, 17, 2864, 6329, 2238, 322, 3663, 686, 70, 68, 22, 289, 273, 68, 23, 9, 1101, 686, 71, 68, 22, 688, 19484, 308, 68, 23, 46640, 928, 1784, 874, 437, 23366, 5372, 292, 275, 9293, 5372, 18, 9097, 798, 19, 716, 204, 1449, 3020, 1662, 808, 1581, 9713, 6329, 2238, 17, 2506, 275, 1322, 1273, 686, 70, 68, 22, 289, 273, 68, 23, 9, 1101, 686, 71, 68, 22, 688, 19484, 308, 68, 23, 2176, 592, 808, 8407, 17, 275, 1581, 11388, 311, 686, 21, 289, 322, 71, 68, 23, 338, 308, 68, 22, 3085, 93, 338, 273, 68, 22, 9852, 928, 10600, 686, 93, 289, 273, 68, 22, 2543, 275, 1581, 302, 273, 6329, 1007, 19, 716, 204, 16459, 17, 275, 800, 1581, 3629, 273, 34959, 2501, 311, 1173, 830, 2238, 17, 4461, 490, 273, 10652, 5910, 292, 8605, 329, 904, 4549, 302, 9207, 19, 0, 531, 1498, 532, 783, 17, 1535, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 19, 11348, 532, 636, 68, 15288, 68, 6805, 68, 14812, 204, 531, 1907, 19, 8902, 532, 9428, 204, 531, 9987, 532, 9987, 25, 204, 204, 676, 22273, 19303, 9500, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 32304, 850, 496, 3629, 7619, 7800, 348, 1094, 19, 204, 615, 264, 1532, 31, 204, 264, 7619, 68, 644, 322, 33780, 330, 332, 2220, 896, 348, 18936, 19, 204, 264, 19188, 322, 4483, 330, 334, 19188, 302, 275, 7619, 19, 204, 264, 320, 204, 264, 7619, 68, 644, 289, 1094, 19, 33780, 13, 2305, 34, 6383, 25, 17, 24335, 34, 1975, 14, 204, 264, 19188, 289, 1094, 19, 4483, 611, 14912, 1887, 491, 523, 68, 2756, 34, 1618, 19, 30270, 17, 3232, 68, 417, 35576, 24335, 34, 1975, 14, 204, 204, 264, 436, 636, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 28514, 13, 327, 17, 24493, 31, 1109, 289, 1078, 14, 393, 783, 736, 26857, 19303, 9500, 5441, 204, 268, 320, 204, 268, 475, 273, 458, 302, 18936, 348, 808, 1014, 19, 204, 822, 268, 457, 31, 204, 268, 24493, 322, 2107, 330, 2266, 311, 2255, 275, 790, 1014, 292, 275, 458, 19, 1243, 311, 1078, 19, 204, 822, 268, 475, 31, 204, 268, 783, 64, 26857, 19303, 9500, 744, 332, 458, 302, 18936, 19, 204, 268, 320, 204, 268, 314, 763, 830, 18936, 440, 275, 1729, 7619, 896, 204, 268, 18936, 289, 370, 3925, 676, 15030, 2856, 19, 2741, 13, 11348, 68, 644, 34, 327, 19, 11348, 68, 644, 14, 204, 822, 268, 314, 43243, 275, 790, 1014, 397, 508, 24493, 204, 268, 397, 508, 24493, 31, 204, 305, 18936, 289, 18936, 19, 17053, 13, 359, 34, 327, 19, 359, 14, 204, 822, 268, 407, 458, 13, 28514, 14, 204, 204, 264, 436, 636, 68, 11348, 13, 327, 17, 19188, 31, 379, 14912, 1887, 534, 393, 1535, 736, 26857, 19303, 9500, 5441, 204, 268, 320, 204, 268, 475, 275, 7619, 348, 275, 800, 19188, 19, 204, 822, 268, 457, 31, 204, 268, 19188, 322, 14912, 1887, 330, 334, 19188, 311, 636, 275, 7619, 348, 19, 204, 822, 268, 475, 31, 204, 268, 1535, 64, 26857, 19303, 9500, 744, 334, 7619, 348, 275, 800, 19188, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 6608, 311, 636, 275, 7619, 497, 275, 458, 302, 18936, 204, 305, 407, 370, 19, 505, 68, 28514, 13, 10711, 34, 1021, 789, 505, 13, 22967, 34, 22967, 14, 204, 268, 827, 370, 3925, 676, 15030, 9775, 31, 204, 305, 314, 455, 443, 397, 275, 7619, 1583, 508, 1337, 204, 305, 407, 443, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 22273, 19303, 9500, 19, 204, 822, 268, 1532, 31, 204, 268, 10003, 322, 2107, 330, 2266, 808, 570, 353, 10003, 19, 1243, 311, 959, 19, 204, 268, 2220, 68, 18356, 322, 2644, 330, 332, 927, 302, 2357, 496, 1631, 444, 2220, 4430, 19, 204, 268, 320, 204, 268, 10003, 289, 959, 204, 268, 2220, 68, 18356, 289, 23903, 11348, 68, 644, 491, 379, 22967, 10116, 204, 204, 676, 22273, 19303, 6188, 9500, 13, 26857, 19303, 9500, 330, 204, 264, 320, 204, 264, 332, 32304, 850, 496, 3629, 7619, 7800, 348, 6214, 19, 204, 264, 320, 204, 615, 264, 436, 4028, 68, 1538, 68, 11348, 13, 327, 17, 19188, 31, 379, 14912, 1887, 491, 4028, 68, 13560, 31, 1109, 289, 1078, 17, 10371, 68, 3939, 31, 1535, 64, 1218, 64, 325, 2629, 289, 443, 14, 393, 379, 26857, 19303, 6188, 9500, 597, 204, 268, 320, 204, 268, 34640, 808, 1472, 348, 275, 1713, 19188, 19, 204, 822, 268, 457, 31, 204, 268, 19188, 322, 14912, 1887, 330, 334, 19188, 311, 4028, 275, 1472, 348, 19, 204, 268, 4028, 68, 13560, 322, 2107, 330, 2266, 311, 4028, 275, 2260, 6214, 19, 1243, 311, 1078, 19, 204, 268, 10371, 68, 3939, 322, 4437, 64, 1218, 64, 325, 3795, 332, 458, 302, 2357, 311, 10371, 497, 275, 4028, 19, 1243, 311, 443, 19, 204, 822, 268, 475, 31, 204, 268, 22273, 19303, 6188, 9500, 31, 334, 17458, 1472, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 264, 436, 636, 68, 2305, 68, 22967, 68, 359, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 6746, 275, 1540, 19188, 311, 732, 348, 808, 1472, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 1222, 302, 275, 1540, 19188, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 850, 348, 22273, 19303, 6188, 9500, 19, 204, 822, 268, 1532, 31, 204, 268, 10003, 322, 2107, 330, 2266, 808, 570, 353, 10003, 19, 1243, 311, 959, 19, 204, 268, 2220, 68, 18356, 322, 2644, 330, 332, 927, 302, 2357, 496, 1631, 444, 2220, 4430, 19, 204, 268, 320, 204, 268, 10003, 289, 959, 204, 268, 2220, 68, 18356, 289, 23903, 11348, 68, 644, 491, 379, 22967, 10116, 204, 204, 461, 636, 68, 15820, 19303, 68, 1618, 13, 10203, 68, 1509, 3191, 31, 1109, 289, 1078, 14, 393, 783, 64, 1618, 19, 1655, 744, 204, 264, 320, 204, 264, 475, 273, 458, 302, 830, 12939, 1094, 496, 41263, 497, 22273, 19303, 9500, 19, 204, 615, 264, 457, 31, 204, 264, 2255, 68, 1509, 3191, 322, 2107, 330, 2266, 311, 2255, 22704, 302, 4281, 19303, 1094, 19, 1243, 311, 1078, 19, 204, 615, 264, 475, 31, 204, 264, 783, 64, 1618, 19, 1655, 744, 332, 458, 302, 4281, 19303, 1094, 19, 204, 264, 320, 204, 264, 314, 763, 830, 1094, 496, 41263, 497, 22273, 19303, 9500, 329, 529, 508, 10003, 204, 264, 4281, 19303, 68, 1618, 289, 551, 809, 348, 570, 292, 9428, 19, 505, 68, 1618, 374, 397, 3679, 539, 676, 13, 809, 17, 22273, 19303, 9500, 14, 329, 508, 570, 806, 6656, 19, 20433, 66, 204, 615, 264, 314, 828, 508, 2864, 22704, 17, 2081, 685, 1094, 496, 529, 508, 1610, 4281, 19303, 1094, 204, 264, 397, 508, 2255, 68, 1509, 3191, 31, 204, 268, 1610, 68, 15820, 19303, 68, 1618, 289, 758, 374, 204, 268, 348, 570, 292, 4281, 19303, 68, 1618, 31, 204, 305, 314, 763, 275, 1610, 4281, 19303, 570, 348, 848, 570, 204, 305, 1610, 68, 15820, 19303, 68, 1618, 19, 826, 13, 809, 19, 505, 68, 11348, 68, 809, 1447, 204, 268, 4281, 19303, 68, 1618, 289, 551, 809, 348, 570, 292, 4281, 19303, 68, 1618, 397, 570, 292, 1610, 68, 15820, 19303, 68, 1618, 66, 204, 615, 264, 407, 4281, 19303, 68, 1618, 204, 0, 531, 1498, 532, 1884, 204, 647, 6032, 448, 1774, 204, 204, 676, 11205, 19619, 31, 204, 264, 436, 3219, 68, 2650, 13, 327, 17, 2210, 68, 932, 31, 394, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 320, 204, 268, 5313, 719, 275, 2210, 741, 1609, 523, 275, 1713, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2210, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 2210, 68, 932, 322, 325, 330, 334, 1187, 302, 2210, 741, 311, 732, 19, 204, 204, 268, 475, 31, 204, 305, 2210, 322, 2987, 19, 1556, 330, 334, 2210, 2162, 19, 204, 305, 5695, 68, 2650, 322, 2107, 330, 2266, 311, 5695, 275, 2210, 311, 273, 2875, 700, 19, 204, 305, 1698, 68, 11704, 4418, 68, 6346, 322, 2107, 330, 2266, 311, 2506, 1698, 275, 6554, 4418, 4125, 19, 204, 268, 320, 204, 268, 314, 968, 273, 955, 311, 2304, 2210, 3003, 311, 1017, 3310, 3263, 204, 268, 2210, 68, 8396, 289, 463, 204, 305, 379, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 597, 370, 806, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 17, 204, 305, 379, 8771, 68, 30382, 545, 68, 2650, 597, 370, 806, 8771, 68, 30382, 545, 68, 2650, 68, 1668, 68, 416, 68, 266, 1668, 17, 204, 305, 314, 1255, 1182, 2210, 3263, 448, 4331, 204, 268, 1211, 204, 204, 268, 314, 778, 397, 275, 1713, 2210, 1187, 353, 6300, 204, 268, 397, 2210, 68, 932, 508, 292, 2210, 68, 8396, 31, 204, 305, 980, 987, 13, 75, 7, 15204, 2210, 1187, 31, 463, 2650, 68, 932, 743, 204, 204, 268, 314, 763, 275, 2210, 741, 1609, 523, 275, 1713, 2210, 1187, 204, 268, 2210, 68, 4266, 289, 2210, 68, 8396, 64, 2650, 68, 932, 66, 204, 204, 268, 314, 4889, 275, 2210, 741, 329, 407, 275, 1563, 204, 268, 314, 6652, 275, 2210, 3263, 407, 273, 927, 302, 322, 2650, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 14, 204, 268, 2210, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 289, 2210, 68, 4266, 374, 204, 268, 407, 2210, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 204, 204, 264, 436, 906, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 13, 327, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 314, 13114, 302, 275, 5571, 20885, 292, 1668, 2210, 1006, 12163, 741, 204, 268, 314, 3168, 204, 268, 1879, 204, 204, 264, 436, 906, 8771, 68, 30382, 545, 68, 2650, 68, 1668, 68, 416, 68, 266, 1668, 13, 327, 14, 393, 1884, 64, 2987, 19, 1556, 17, 1109, 17, 1109, 744, 204, 268, 314, 13114, 302, 275, 5571, 10420, 545, 2210, 857, 329, 292, 1668, 741, 204, 268, 314, 3168, 204, 268, 1879, 204, 204, 8, 1165, 1265, 31, 204, 2650, 68, 5666, 289, 11205, 19619, 374, 204, 2650, 17, 5695, 68, 2650, 17, 1698, 68, 11704, 4418, 68, 6346, 289, 2210, 68, 5666, 19, 5666, 68, 2650, 611, 8771, 68, 33862, 68, 266, 1668, 68, 2650, 68, 885, 68, 18811, 534, 204, 0, 647, 1127, 204, 647, 21073, 204, 647, 1875, 204, 647, 690, 204, 647, 16577, 19, 23333, 204, 647, 1361, 204, 647, 1034, 2562, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1151, 68, 1292, 68, 553, 13, 2029, 31, 394, 17, 9336, 31, 394, 17, 3496, 31, 783, 64, 325, 648, 265, 3804, 68, 461, 31, 1061, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1606, 273, 4793, 510, 329, 407, 273, 955, 440, 275, 424, 19, 204, 204, 264, 1164, 2394, 2049, 31, 334, 588, 302, 275, 510, 311, 1151, 19, 204, 264, 1164, 2394, 9336, 31, 334, 9336, 1376, 292, 275, 510, 19, 204, 264, 1164, 2394, 3496, 31, 334, 3496, 302, 275, 510, 19, 204, 264, 1164, 2394, 265, 3804, 68, 461, 31, 334, 4790, 302, 275, 690, 3196, 19, 204, 264, 1164, 3309, 31, 332, 955, 440, 275, 424, 19, 204, 264, 320, 204, 264, 1112, 68, 644, 2199, 289, 265, 3804, 68, 461, 1166, 998, 68, 3261, 1339, 204, 264, 700, 68, 644, 2199, 289, 265, 3804, 68, 461, 1166, 876, 68, 3261, 1339, 204, 264, 14018, 68, 644, 417, 289, 265, 3804, 68, 461, 1166, 3450, 68, 644, 1339, 204, 264, 265, 3804, 289, 2087, 204, 264, 27278, 289, 500, 204, 264, 3870, 289, 500, 204, 204, 264, 810, 31, 204, 268, 440, 21073, 19, 3664, 13, 2029, 17, 388, 1644, 431, 397, 2049, 19, 9641, 11837, 14199, 431, 902, 1451, 13, 2029, 17, 388, 1644, 431, 448, 37064, 31, 204, 305, 1043, 937, 289, 959, 204, 305, 510, 5093, 289, 443, 204, 305, 348, 1237, 292, 37064, 31, 204, 485, 397, 508, 1237, 31, 204, 895, 3524, 204, 485, 1677, 1043, 937, 31, 204, 895, 510, 5093, 289, 1237, 19, 2892, 1528, 1590, 13, 25660, 14, 204, 895, 1043, 937, 289, 1078, 204, 895, 397, 510, 5093, 2167, 3496, 31, 204, 2058, 1361, 19, 718, 499, 17537, 21925, 431, 204, 485, 902, 31, 204, 895, 810, 31, 204, 2058, 10426, 289, 1237, 19, 2892, 1528, 1590, 13, 25660, 14, 204, 2058, 2136, 1245, 13, 6103, 14, 564, 1245, 13, 5093, 14, 204, 2058, 424, 68, 873, 289, 1135, 13, 5714, 13, 5093, 17, 10426, 602, 204, 2058, 14018, 289, 818, 13, 481, 68, 873, 64, 3450, 68, 644, 417, 694, 204, 2058, 896, 289, 927, 1568, 481, 68, 873, 64, 998, 68, 644, 66, 348, 1112, 68, 644, 292, 1112, 68, 644, 2199, 694, 204, 2058, 1019, 289, 551, 996, 13, 481, 68, 873, 64, 876, 68, 644, 694, 348, 700, 68, 644, 292, 700, 68, 644, 2199, 66, 204, 2058, 397, 896, 508, 292, 265, 3804, 31, 204, 4511, 265, 3804, 64, 644, 66, 289, 2087, 204, 2058, 265, 3804, 64, 644, 1799, 3450, 66, 289, 1019, 204, 2058, 3870, 1412, 368, 204, 895, 827, 987, 448, 6926, 31, 204, 2058, 27278, 1412, 368, 204, 895, 827, 7323, 448, 6926, 31, 204, 2058, 1361, 19, 4561, 499, 14344, 896, 1564, 88, 292, 424, 68, 873, 1564, 88, 528, 6926, 17, 424, 68, 873, 14, 204, 2058, 27278, 1412, 368, 204, 268, 1361, 19, 1270, 499, 20819, 1564, 73, 2238, 17, 27278, 1564, 73, 2238, 528, 3870, 17, 27278, 14, 204, 268, 407, 265, 3804, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4488, 510, 1564, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 88, 31, 1564, 88, 528, 2049, 17, 6926, 14, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 3450, 68, 553, 13, 2029, 31, 394, 17, 424, 31, 1061, 17, 14018, 68, 644, 417, 31, 394, 17, 700, 68, 644, 2199, 31, 783, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 3400, 273, 690, 3196, 510, 19, 204, 204, 264, 1164, 2394, 2049, 31, 334, 588, 302, 275, 510, 311, 2281, 19, 204, 264, 1164, 2394, 424, 31, 334, 424, 311, 2281, 19, 204, 264, 1164, 2394, 14018, 68, 644, 417, 31, 334, 588, 302, 275, 4521, 1837, 19, 204, 264, 1164, 2394, 700, 68, 644, 2199, 31, 334, 1987, 302, 275, 700, 2630, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 21073, 19, 3664, 13, 2029, 17, 388, 9159, 431, 448, 20735, 31, 204, 305, 1043, 937, 289, 959, 204, 305, 348, 14018, 292, 2282, 13, 481, 19, 3261, 13077, 204, 485, 397, 1043, 937, 31, 204, 895, 20735, 19, 2206, 499, 32, 2948, 1541, 1568, 3450, 68, 644, 417, 17, 66, 465, 700, 68, 644, 2199, 14, 465, 7805, 83, 431, 204, 895, 1043, 937, 289, 1078, 204, 485, 20735, 19, 2206, 499, 32, 2948, 1541, 1568, 325, 13, 3450, 659, 2437, 465, 551, 325, 13, 876, 14, 348, 700, 292, 424, 64, 3450, 4097, 465, 7805, 83, 431, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4695, 510, 1564, 88, 31, 1564, 88, 528, 2049, 17, 6926, 14, 204, 204, 461, 5217, 68, 3450, 70, 13, 13381, 17, 846, 68, 8938, 31, 421, 289, 887, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4390, 424, 497, 4793, 424, 17, 7009, 490, 17, 329, 1640, 490, 19, 204, 204, 264, 1164, 2394, 24251, 31, 334, 412, 8856, 727, 726, 19, 204, 264, 1164, 2394, 846, 68, 8938, 31, 334, 1646, 542, 302, 7259, 9429, 19, 204, 264, 320, 204, 264, 265, 3804, 68, 461, 289, 463, 204, 268, 388, 998, 68, 3261, 559, 458, 13, 13381, 19, 6656, 1166, 998, 68, 644, 2199, 15100, 204, 268, 388, 3450, 68, 17025, 559, 7541, 204, 268, 388, 3450, 68, 644, 559, 24251, 19, 6656, 1166, 3450, 68, 644, 417, 2869, 204, 268, 388, 876, 68, 3261, 559, 458, 13, 13381, 19, 6656, 1166, 876, 68, 644, 2199, 3808, 204, 264, 1211, 204, 204, 264, 314, 1606, 537, 424, 204, 264, 397, 1127, 19, 546, 19, 13226, 13, 13381, 19, 14616, 68, 2029, 330, 204, 268, 1361, 19, 1270, 499, 2835, 37928, 4793, 537, 510, 1564, 88, 528, 24251, 19, 14616, 68, 2029, 14, 204, 268, 265, 3804, 289, 1151, 68, 1292, 68, 553, 13, 13381, 19, 14616, 68, 2029, 17, 24251, 19, 6656, 1166, 25660, 2869, 458, 13, 13381, 19, 6656, 1166, 5093, 15100, 265, 3804, 68, 461, 14, 204, 264, 1677, 24251, 19, 1292, 68, 2029, 353, 508, 443, 31, 204, 268, 1361, 19, 1270, 499, 7749, 299, 2171, 4793, 537, 510, 1564, 88, 528, 24251, 19, 1292, 68, 2029, 14, 204, 268, 265, 3804, 289, 1151, 68, 1292, 68, 553, 13, 13381, 19, 1292, 68, 2029, 17, 24251, 19, 6656, 1166, 25660, 2869, 458, 13, 13381, 19, 6656, 1166, 5093, 15100, 265, 3804, 68, 461, 14, 204, 264, 902, 31, 204, 268, 1361, 19, 718, 499, 6950, 3545, 37928, 10524, 4793, 510, 353, 2755, 431, 204, 268, 407, 204, 204, 264, 314, 666, 4407, 1217, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 13381, 19, 4800, 1217, 330, 204, 268, 1127, 19, 8240, 13, 13381, 19, 4800, 1217, 14, 204, 204, 264, 314, 3215, 31699, 424, 204, 264, 14018, 68, 6133, 289, 4464, 2049, 17, 424, 31, 2281, 68, 3450, 68, 553, 13, 2029, 17, 424, 17, 265, 3804, 68, 461, 1166, 3450, 68, 644, 2869, 265, 3804, 68, 461, 1166, 876, 68, 3261, 3808, 204, 264, 440, 16577, 19, 23333, 19, 9928, 24258, 13, 1129, 68, 8938, 34, 1129, 68, 8938, 14, 448, 15477, 31, 204, 268, 24794, 289, 1306, 204, 268, 348, 896, 292, 265, 3804, 31, 204, 305, 14018, 68, 2029, 289, 388, 3450, 33069, 465, 1034, 2562, 19, 71, 2562, 4170, 13, 325, 13, 644, 789, 4170, 13725, 5286, 374, 465, 5161, 2039, 19, 14199, 7, 204, 305, 2049, 289, 1127, 19, 546, 19, 1541, 13, 13381, 19, 4800, 1217, 17, 14018, 68, 2029, 14, 204, 305, 265, 3804, 68, 461, 1166, 3450, 68, 17025, 6925, 1223, 13, 3450, 68, 2029, 14, 204, 305, 24794, 19, 1223, 13, 19284, 19, 10414, 13, 3450, 68, 6133, 17, 2049, 17, 265, 3804, 64, 644, 4513, 204, 268, 348, 5094, 292, 16577, 19, 23333, 19, 402, 68, 15106, 13, 23333, 330, 204, 305, 5094, 19, 1300, 374, 204, 204, 264, 314, 3215, 265, 3804, 4147, 204, 264, 265, 3804, 68, 2029, 289, 388, 3450, 70, 33069, 465, 1034, 2562, 19, 71, 2562, 4170, 13, 325, 13, 3450, 70, 68, 461, 1166, 998, 68, 3261, 31330, 4170, 13725, 5286, 374, 465, 5161, 1775, 7, 204, 264, 1361, 19, 4561, 499, 40374, 299, 265, 3804, 311, 1564, 88, 528, 265, 3804, 68, 2029, 14, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 13381, 19, 4800, 1217, 17, 265, 3804, 68, 2029, 659, 388, 9159, 431, 448, 20735, 31, 204, 305, 1875, 19, 4573, 13, 3450, 70, 68, 461, 17, 20735, 17, 8851, 34, 25, 14, 204, 264, 827, 1319, 448, 6926, 31, 204, 268, 1361, 19, 718, 499, 596, 4695, 510, 1564, 88, 31, 1564, 88, 528, 265, 3804, 68, 2029, 17, 6926, 14, 204, 204, 676, 412, 8856, 727, 31, 204, 264, 436, 589, 924, 889, 327, 17, 12028, 68, 2029, 31, 394, 17, 4793, 68, 2029, 31, 394, 17, 5713, 31, 1061, 17, 4407, 1217, 31, 394, 330, 204, 268, 370, 19, 14616, 68, 2029, 289, 12028, 68, 2029, 204, 268, 370, 19, 1292, 68, 2029, 289, 4793, 68, 2029, 204, 268, 370, 19, 6656, 289, 5713, 204, 268, 370, 19, 4800, 1217, 289, 4407, 1217, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 264, 24251, 289, 412, 8856, 727, 13, 204, 268, 12028, 68, 2029, 1022, 14616, 19, 2039, 19, 14199, 528, 204, 268, 4793, 68, 2029, 1022, 1292, 19, 2039, 528, 204, 268, 5713, 2508, 204, 305, 388, 998, 68, 644, 2199, 559, 3134, 644, 22, 528, 388, 644, 23, 2869, 204, 305, 388, 3450, 68, 644, 417, 559, 388, 3450, 528, 204, 305, 388, 876, 68, 644, 2199, 559, 3134, 876, 22, 528, 388, 876, 23, 2869, 204, 305, 388, 25660, 559, 40283, 528, 204, 305, 388, 5093, 559, 3134, 644, 22, 528, 388, 644, 23, 528, 388, 3450, 528, 388, 876, 22, 528, 388, 876, 23, 1339, 204, 268, 4752, 204, 268, 4407, 1217, 1022, 4800, 7, 204, 264, 1179, 204, 264, 5217, 68, 3450, 70, 13, 13381, 14, 204, 0, 658, 592, 19321, 15118, 302, 273, 14384, 204, 204, 2021, 23577, 2746, 302, 273, 3620, 353, 437, 2746, 7196, 560, 970, 29263, 496, 874, 1051, 2323, 4584, 17, 928, 12034, 523, 275, 12691, 302, 275, 3620, 19, 334, 1085, 302, 275, 3620, 1283, 275, 970, 13327, 302, 275, 29263, 322, 18356, 440, 275, 13327, 14, 353, 3250, 275, 12264, 336, 9215, 19, 204, 204, 658, 592, 19321, 15118, 12082, 204, 204, 673, 23577, 2746, 2089, 3584, 496, 275, 3001, 302, 275, 23577, 2746, 353, 1936, 311, 4315, 302, 275, 3001, 302, 275, 12264, 336, 9215, 19, 1058, 618, 444, 8286, 448, 31, 204, 204, 82, 18947, 39814, 289, 322, 22, 20, 23, 14, 82, 2768, 101, 12374, 204, 204, 3663, 309, 18947, 39814, 353, 275, 3001, 302, 275, 23577, 2746, 329, 309, 2768, 101, 12374, 353, 275, 3001, 302, 275, 12264, 336, 9215, 19, 204, 204, 658, 15118, 592, 19321, 292, 273, 23174, 323, 422, 1478, 204, 204, 2021, 2746, 23577, 292, 273, 31993, 353, 4501, 273, 1629, 2746, 322, 3276, 3118, 789, 1058, 618, 444, 16727, 560, 974, 275, 3564, 302, 273, 3620, 329, 275, 4790, 302, 437, 23577, 2746, 19, 204, 204, 658, 592, 19321, 15118, 9048, 204, 204, 673, 23577, 2746, 7815, 3584, 496, 275, 2746, 860, 42804, 560, 437, 9215, 630, 275, 3466, 302, 273, 3620, 353, 6246, 275, 2746, 860, 42804, 560, 496, 9215, 630, 1169, 917, 523, 275, 12691, 302, 275, 3620, 19, 1058, 618, 444, 8286, 448, 31, 204, 204, 82, 18947, 38, 13422, 289, 435, 82, 18947, 2899, 39, 204, 204, 3663, 309, 18947, 38, 13422, 353, 275, 3001, 302, 275, 6837, 2746, 329, 309, 18947, 2899, 39, 353, 275, 3001, 302, 275, 23577, 2746, 19, 204, 204, 658, 387, 9974, 9134, 204, 204, 1380, 6009, 368, 204, 204, 6431, 275, 700, 302, 610, 292, 275, 2631, 4368, 31, 204, 204, 204, 7670, 5130, 18947, 38, 13422, 289, 435, 18947, 2899, 39, 204, 7670, 5130, 18947, 38, 13422, 289, 435, 540, 20971, 3118, 204, 7670, 5130, 18947, 38, 13422, 289, 18534, 3118, 204, 204, 673, 700, 302, 610, 353, 18534, 14867, 204, 204, 1380, 6009, 435, 204, 204, 6431, 275, 700, 302, 610, 292, 275, 2631, 4368, 31, 204, 204, 204, 7374, 275, 23577, 2746, 7815, 31, 204, 18947, 38, 13422, 289, 435, 18947, 2899, 39, 204, 1719, 3118, 289, 435, 540, 8854, 2899, 39, 204, 18947, 2899, 39, 289, 2019, 3118, 204, 204, 1449, 1020, 275, 700, 302, 610, 17, 572, 1519, 1182, 1483, 1465, 275, 4368, 19, 3355, 17, 572, 618, 732, 275, 23577, 2746, 7815, 311, 17929, 275, 4893, 292, 275, 4368, 19, 828, 572, 2379, 275, 3001, 302, 275, 12264, 336, 9215, 521, 275, 6837, 2746, 17, 572, 618, 732, 275, 7815, 311, 1020, 275, 700, 302, 610, 19, 0, 8477, 302, 2758, 10025, 10592, 2073, 896, 19, 334, 6306, 618, 1425, 444, 1376, 311, 570, 1662, 275, 3888, 1856, 444, 7868, 329, 311, 15216, 504, 2459, 440, 275, 1552, 302, 2758, 19, 204, 3837, 1741, 444, 9425, 17, 12579, 521, 6467, 329, 1376, 292, 1214, 11510, 17, 2941, 3859, 17, 521, 904, 11975, 1964, 311, 1340, 8965, 4309, 2821, 19, 204, 8477, 302, 2758, 18520, 440, 2073, 896, 19, 5868, 302, 2758, 1848, 560, 542, 4476, 71, 705, 19, 3665, 15177, 275, 1552, 17, 872, 15177, 275, 2073, 6, 334, 2765, 2139, 348, 4476, 1552, 302, 2758, 18520, 19, 204, 673, 1552, 302, 2758, 10592, 21538, 1120, 1900, 273, 34248, 10592, 302, 3490, 329, 437, 2073, 896, 19, 435, 14, 5075, 8455, 931, 2104, 33261, 299, 2327, 4683, 302, 11447, 17, 275, 34248, 1552, 302, 2758, 18520, 1308, 6296, 292, 974, 303, 5509, 523, 7277, 440, 681, 1892, 329, 571, 10496, 32, 204, 53, 547, 27780, 353, 273, 48836, 348, 11131, 17, 15231, 17, 6177, 17, 4854, 17, 4998, 329, 11043, 19, 12375, 896, 1552, 302, 2758, 1330, 872, 874, 1792, 2758, 292, 273, 2821, 1844, 17, 872, 1519, 311, 2616, 1475, 292, 273, 2824, 1552, 19, 1058, 1351, 3192, 273, 8372, 302, 1552, 302, 2758, 18520, 19, 204, 11744, 5483, 618, 4065, 808, 2821, 10592, 329, 2281, 1017, 9347, 292, 275, 2817, 1917, 19, 5868, 302, 2758, 887, 427, 5686, 2821, 18520, 2073, 896, 19, 12955, 18520, 348, 1552, 302, 2758, 19, 204, 20794, 1552, 302, 2758, 18520, 440, 6306, 19, 332, 284, 547, 27780, 22410, 353, 1917, 523, 848, 10592, 19, 415, 547, 27780, 273, 4382, 4398, 6087, 311, 874, 42026, 1330, 3100, 808, 1352, 19, 204, 7990, 5686, 720, 1552, 302, 2758, 18520, 2255, 275, 732, 302, 3277, 15231, 329, 18271, 292, 4998, 311, 275, 681, 2599, 2758, 32, 3433, 1012, 440, 3277, 3490, 496, 6675, 1698, 440, 275, 1552, 302, 2758, 3490, 3232, 311, 275, 4802, 4998, 17, 11043, 17, 6177, 329, 4854, 5035, 17, 1101, 5287, 18520, 6675, 440, 1552, 302, 2758, 11939, 830, 302, 275, 284, 547, 27780, 5035, 19, 29023, 311, 16482, 1465, 1552, 302, 2758, 284, 547, 27780, 6296, 18520, 6306, 17, 1895, 6430, 872, 11506, 496, 5798, 329, 3100, 353, 848, 302, 2077, 2479, 311, 273, 4037, 3161, 2344, 17, 9729, 7572, 299, 5409, 884, 89, 2842, 4516, 5602, 275, 5798, 21090, 23252, 19, 12964, 1120, 4017, 13171, 17, 572, 1308, 872, 440, 273, 1596, 372, 430, 302, 7249, 5862, 18139, 7192, 292, 4998, 311, 2150, 14376, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7758, 10495, 348, 19, 204, 11279, 578, 18520, 1642, 17255, 19, 3394, 1208, 12615, 25, 80, 1915, 19, 1453, 2616, 19, 5868, 302, 2758, 18520, 348, 720, 427, 5686, 17, 887, 427, 5686, 329, 1168, 427, 5686, 10677, 1225, 1924, 273, 542, 302, 4802, 18520, 329, 1675, 14224, 311, 3420, 329, 5544, 1660, 2758, 19, 204, 673, 18520, 523, 808, 1472, 529, 14104, 1870, 17, 329, 1250, 2255, 3779, 329, 7277, 496, 918, 18271, 17, 1101, 508, 15231, 19, 334, 18520, 529, 2755, 1855, 292, 11878, 329, 5004, 13218, 322, 2079, 353, 24335, 14, 329, 618, 444, 39770, 292, 43534, 88, 302, 3942, 19, 4222, 15231, 14, 11524, 2459, 311, 2616, 3779, 329, 3953, 7277, 974, 275, 1552, 302, 2758, 19, 204, 8477, 302, 2758, 10592, 348, 1168, 427, 5686, 2804, 19, 12375, 896, 11772, 1552, 302, 2758, 10592, 19, 5868, 302, 2758, 440, 15231, 329, 18271, 19, 204, 14225, 275, 1085, 292, 18271, 322, 14647, 5868, 302, 2758, 802, 284, 547, 27780, 18520, 19, 5610, 18520, 1552, 302, 2758, 18520, 440, 2073, 896, 2263, 6596, 10592, 2223, 3859, 19, 204, 673, 1552, 302, 2758, 18520, 529, 15095, 1966, 329, 1120, 6202, 9437, 754, 872, 874, 437, 39070, 8459, 302, 5926, 1552, 302, 2758, 18520, 311, 732, 292, 275, 11510, 521, 630, 2941, 19, 334, 34248, 1552, 302, 2758, 18520, 5084, 1120, 636, 872, 7572, 299, 1214, 284, 547, 27780, 6173, 292, 1236, 690, 6, 12375, 896, 1552, 302, 2758, 1330, 872, 874, 1792, 2758, 292, 273, 2821, 1844, 17, 872, 1519, 311, 2616, 1475, 292, 273, 2824, 1552, 19, 204, 3837, 869, 437, 2073, 896, 13975, 523, 275, 1350, 1472, 19, 5868, 302, 2758, 10592, 9796, 31, 5610, 15231, 529, 3277, 5537, 521, 11078, 302, 2875, 3717, 886, 19, 204, 8477, 302, 2758, 17, 10592, 1966, 1489, 5868, 302, 2758, 10592, 2799, 31, 5868, 302, 2758, 10592, 368, 2073, 896, 19, 204, 1834, 10592, 353, 273, 31048, 30652, 5686, 3966, 311, 1340, 8277, 17, 6757, 329, 2804, 630, 2941, 329, 292, 3859, 19, 5868, 302, 2758, 10592, 2073, 896, 19, 11453, 1552, 302, 2758, 18520, 529, 4476, 311, 4065, 17, 7249, 311, 732, 17, 329, 3060, 21296, 19, 204, 673, 2073, 3583, 348, 1605, 1552, 302, 2758, 18520, 2248, 848, 1660, 17, 754, 490, 353, 7249, 311, 31696, 1273, 2459, 4230, 874, 17517, 9263, 397, 1250, 636, 273, 1792, 2073, 19, 11453, 1552, 302, 2758, 18520, 10140, 292, 11447, 560, 20252, 275, 542, 302, 3099, 17, 275, 6999, 2758, 329, 3855, 18271, 529, 6999, 19, 1058, 353, 273, 2821, 11878, 34248, 4801, 6087, 440, 4569, 14696, 19, 204, 6350, 1792, 4683, 302, 11447, 311, 6296, 6, 5868, 302, 2758, 322, 39295, 18271, 32, 6597, 275, 1085, 292, 18271, 322, 14647, 204, 673, 18520, 529, 27576, 560, 5686, 32, 12955, 1552, 302, 2758, 18520, 19, 4171, 1552, 302, 2758, 18520, 1120, 636, 1214, 284, 547, 27780, 6173, 292, 25149, 1552, 6, 204, 8477, 302, 2661, 18520, 918, 6571, 2758, 1283, 4998, 11043, 6177, 329, 4854, 19, 3433, 529, 15095, 4489, 754, 872, 1120, 636, 273, 717, 1051, 848, 690, 872, 4974, 275, 5444, 19, 5868, 302, 2758, 18520, 3051, 781, 291, 8306, 1916, 17, 17371, 1429, 302, 275, 18520, 5084, 529, 1552, 302, 2758, 18520, 17, 4309, 1662, 5620, 8247, 7277, 11939, 2140, 6409, 974, 1552, 302, 2758, 329, 3564, 302, 2758, 440, 4569, 5962, 6060, 3888, 440, 2073, 3583, 19, 204, 20397, 529, 9176, 311, 3953, 7277, 440, 329, 2900, 11131, 17, 14383, 17, 329, 42645, 19, 435, 720, 8455, 2958, 1787, 289, 368, 14, 887, 465, 8178, 435, 8455, 2153, 1787, 289, 681, 14, 571, 465, 4236, 1132, 8455, 1233, 1787, 289, 571, 14, 2019, 2104, 5868, 302, 2758, 440, 1892, 10592, 2073, 896, 19, 204, 1834, 353, 275, 1552, 292, 928, 2758, 529, 6310, 311, 2616, 1182, 3700, 2821, 3490, 496, 874, 3536, 3099, 329, 3536, 2758, 19, 7616, 1552, 302, 2758, 10592, 292, 808, 4446, 4394, 2459, 284, 547, 27780, 6173, 19, 1198, 521, 4065, 4476, 11878, 34248, 10592, 329, 11524, 2459, 1465, 1552, 302, 2758, 19, 204, 7975, 12615, 1323, 2821, 1323, 5686, 720, 1323, 1552, 302, 2758, 19, 15229, 275, 1552, 302, 2758, 440, 1605, 4476, 2821, 18520, 19, 37314, 368, 302, 887, 322, 12423, 523, 12641, 19, 204, 23, 8455, 8178, 887, 465, 1916, 4839, 7215, 3232, 311, 11772, 1552, 302, 2758, 10592, 2073, 896, 19, 720, 427, 5686, 11772, 1552, 302, 2758, 10592, 204, 8390, 302, 275, 18520, 348, 808, 3773, 529, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 17, 1552, 302, 2758, 284, 547, 27780, 6296, 1225, 17, 974, 1552, 302, 2758, 17, 720, 427, 5686, 17, 1552, 302, 2758, 19, 1058, 1351, 353, 17498, 440, 275, 2631, 2323, 6836, 2599, 31, 4839, 7215, 3232, 311, 2073, 896, 1534, 1552, 302, 2758, 10592, 19, 204, 8477, 302, 2758, 368, 2821, 10592, 348, 8881, 440, 2073, 896, 19, 1144, 28800, 17, 368, 274, 5686, 17, 435, 307, 5686, 17, 571, 10988, 19, 41011, 1323, 2821, 1323, 2821, 560, 4711, 1323, 1552, 302, 2758, 19, 204, 26, 287, 70, 19, 70, 22, 2073, 896, 6999, 6, 0, 26, 2903, 4343, 2544, 408, 23521, 1116, 22828, 9491, 11247, 16870, 14669, 2682, 33886, 44322, 408, 4136, 9491, 5159, 4821, 5851, 11329, 10945, 2946, 7221, 12318, 49133, 408, 4640, 1390, 31387, 2356, 984, 233, 568, 16197, 4762, 9491, 16870, 14669, 408, 4136, 9491, 5159, 35063, 32164, 1886, 41876, 1111, 4136, 6463, 15593, 1984, 27349, 725, 40996, 3863, 725, 3863, 36243, 725, 9107, 2591, 9491, 12434, 33491, 4136, 6463, 4146, 3455, 23095, 408, 1189, 9491, 11247, 27297, 408, 3841, 7221, 1458, 6807, 4134, 6385, 4136, 9491, 5159, 4821, 9491, 11247, 16870, 14669, 2682, 33886, 19297, 30608, 47294, 408, 3863, 36243, 47294, 1886, 1638, 9491, 11247, 44322, 408, 3675, 6463, 16308, 988, 256, 35004, 15780, 1638, 7221, 2356, 984, 233, 408, 1254, 7221, 18846, 408, 21224, 4136, 6463, 22607, 8807, 3419, 4736, 4134, 204, 12069, 8360, 8662, 9910, 408, 3863, 36243, 2781, 4805, 6899, 9491, 1390, 7221, 2356, 984, 233, 3812, 204, 20421, 2299, 8069, 5264, 15712, 108, 13295, 38595, 408, 3863, 36243, 2065, 4136, 9491, 5159, 4821, 831, 3031, 17438, 7221, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18846, 408, 10194, 47294, 5038, 2065, 21133, 23806, 6463, 831, 3031, 12792, 1579, 831, 5972, 26503, 16870, 14669, 15593, 408, 30842, 17888, 12069, 8360, 8662, 9910, 460, 6233, 16236, 42607, 2449, 1227, 11520, 2449, 568, 8465, 408, 2781, 4805, 47294, 5038, 10880, 3863, 36243, 6899, 2065, 27349, 725, 40996, 3863, 1955, 7221, 4079, 6463, 2823, 29128, 44879, 408, 12120, 9491, 1390, 7221, 2356, 984, 233, 3812, 204, 11204, 408, 47981, 45422, 32164, 408, 854, 6589, 1398, 2314, 9399, 6463, 15421, 408, 6583, 6822, 17438, 5881, 4907, 990, 36795, 9491, 2449, 11568, 6681, 2498, 6583, 6822, 13444, 13358, 2411, 2498, 7292, 460, 19598, 1227, 7386, 3464, 568, 204, 1902, 21343, 1565, 6463, 41867, 13398, 408, 3863, 36243, 39731, 2564, 7292, 408, 21183, 6553, 40129, 3654, 31044, 408, 9813, 41658, 41293, 7764, 9250, 20287, 19888, 408, 9850, 33873, 31660, 4136, 47294, 19539, 7821, 3049, 16902, 568, 3863, 36243, 1262, 19448, 3784, 21982, 3560, 34694, 1984, 3064, 7238, 3558, 990, 1822, 9760, 47294, 6681, 1524, 13358, 2411, 2498, 7292, 460, 990, 1423, 125, 7292, 7720, 47294, 6681, 4762, 1524, 2498, 7657, 460, 990, 5564, 7292, 7720, 47294, 6681, 3863, 36243, 460, 4126, 9158, 2402, 26748, 3013, 47294, 7821, 460, 14609, 1227, 22238, 408, 12707, 3560, 13358, 2411, 2498, 7292, 4134, 204, 3140, 13353, 10536, 4730, 14613, 5718, 408, 3863, 36243, 2778, 23556, 11520, 47294, 5038, 6233, 6770, 16312, 408, 29310, 3152, 11870, 4015, 4136, 47294, 19448, 4747, 8010, 5103, 27245, 16174, 10106, 3068, 1227, 17853, 43250, 19448, 10700, 20315, 4002, 2338, 3784, 19493, 12334, 4015, 17853, 43250, 19448, 3560, 3784, 12330, 4002, 1955, 408, 28554, 47294, 19448, 12644, 3784, 35581, 1227, 28657, 35581, 408, 14621, 8461, 11476, 47294, 5038, 921, 19448, 8437, 12840, 41000, 33779, 20550, 460, 4276, 4747, 408, 26748, 5038, 13358, 2411, 2498, 7292, 4134, 204, 3064, 990, 3784, 16870, 14669, 1001, 1524, 990, 5038, 16870, 14669, 6681, 3863, 36243, 8241, 13150, 5216, 408, 13006, 14034, 1111, 42443, 27912, 22572, 3411, 15593, 408, 1886, 5601, 24385, 3152, 9491, 1390, 7221, 2356, 984, 233, 460, 31192, 19598, 568, 204, 6385, 14403, 1572, 17853, 32013, 28805, 408, 3863, 36243, 854, 47294, 5038, 22395, 19233, 2065, 14403, 1572, 5932, 16139, 20587, 7652, 19119, 568, 33812, 14403, 1572, 408, 3863, 36243, 47294, 47176, 17150, 43852, 9531, 20587, 17853, 32013, 7652, 26483, 28522, 25563, 3235, 408, 2499, 10513, 19448, 725, 10513, 38246, 47294, 3560, 921, 7221, 26684, 3590, 14159, 568, 204, 14464, 408, 3863, 36243, 47294, 2778, 17437, 12838, 13919, 42485, 2494, 8510, 568, 3064, 27785, 14403, 1572, 5485, 17258, 408, 1524, 36589, 19456, 10218, 9438, 8208, 11751, 408, 3863, 36243, 17853, 26916, 7764, 12235, 28829, 2615, 17928, 408, 9555, 10366, 3152, 13353, 27912, 10218, 6807, 17288, 408, 1886, 46465, 47294, 5038, 9938, 3152, 9486, 1999, 16308, 988, 256, 408, 3675, 7221, 29664, 4136, 27912, 15593, 4134, 204, 4136, 3863, 36243, 408, 7221, 18846, 568, 5552, 1638, 2065, 3476, 2449, 1189, 18509, 408, 1002, 35757, 2065, 3476, 2449, 11567, 408, 854, 20079, 23806, 460, 14525, 3464, 408, 7059, 4136, 6463, 31036, 7221, 35122, 2386, 6625, 568, 16197, 3863, 36243, 6463, 45480, 16870, 14669, 408, 854, 6463, 19598, 2678, 3036, 408, 7059, 3140, 9459, 20527, 568, 12321, 8626, 29363, 408, 20079, 15684, 255, 3152, 408, 3863, 36243, 27241, 4525, 8241, 7869, 408, 9491, 1390, 8376, 7221, 18846, 408, 3675, 4136, 6463, 921, 7221, 29927, 1390, 13358, 2411, 2498, 7292, 6, 204, 0, 531, 1498, 532, 1884, 17, 783, 204, 647, 14698, 204, 204, 676, 23588, 5064, 11546, 270, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2668, 31, 783, 64, 1218, 64, 325, 4395, 19696, 31, 1135, 330, 204, 268, 320, 204, 268, 977, 275, 23588, 5064, 11546, 270, 19, 204, 204, 268, 457, 31, 204, 305, 2668, 322, 1218, 64, 1218, 64, 325, 3795, 334, 2668, 311, 2790, 7369, 523, 19, 204, 305, 19696, 322, 873, 330, 332, 955, 302, 9297, 2992, 19, 204, 268, 320, 204, 268, 370, 19, 2052, 289, 2668, 204, 268, 370, 19, 8190, 289, 19696, 204, 204, 264, 436, 2790, 68, 2602, 13, 327, 17, 1012, 68, 417, 31, 394, 17, 919, 68, 998, 31, 421, 17, 1136, 68, 417, 31, 394, 17, 537, 68, 998, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4456, 273, 1727, 1283, 970, 21999, 523, 275, 2668, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4145, 9297, 19, 204, 305, 919, 68, 998, 322, 339, 330, 334, 919, 1112, 302, 275, 4145, 9297, 19, 204, 305, 1136, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2423, 9297, 19, 204, 305, 537, 68, 998, 322, 339, 330, 334, 537, 1112, 302, 275, 2423, 9297, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 1012, 68, 3470, 289, 370, 19, 8190, 64, 1530, 68, 417, 66, 204, 305, 1136, 68, 3470, 289, 370, 19, 8190, 64, 409, 68, 417, 66, 204, 268, 827, 7323, 31, 204, 305, 456, 13, 75, 7, 596, 31, 23588, 3318, 1530, 68, 417, 2867, 521, 3318, 409, 68, 417, 2867, 508, 1193, 1280, 204, 305, 407, 204, 204, 268, 314, 968, 3454, 348, 4037, 12996, 204, 268, 11538, 8298, 7482, 68, 6828, 289, 7810, 93, 22, 71, 64, 21, 82, 12, 204, 268, 28788, 68, 61, 289, 1012, 68, 3470, 64, 22, 66, 465, 931, 204, 268, 28788, 68, 62, 289, 1012, 68, 3470, 64, 23, 66, 465, 368, 465, 919, 68, 998, 204, 268, 24941, 68, 61, 289, 1136, 68, 3470, 64, 22, 66, 338, 368, 204, 268, 24941, 68, 62, 289, 1136, 68, 3470, 64, 23, 66, 465, 368, 465, 537, 68, 998, 204, 204, 268, 314, 1974, 273, 7490, 741, 311, 949, 275, 832, 204, 268, 832, 289, 370, 806, 3446, 68, 546, 1802, 13858, 68, 61, 17, 28788, 68, 62, 659, 322, 6627, 68, 61, 17, 24941, 68, 62, 602, 204, 204, 268, 314, 4456, 275, 1727, 204, 268, 370, 806, 3320, 68, 546, 13, 546, 17, 11538, 8298, 7482, 68, 6828, 14, 204, 204, 264, 436, 906, 3446, 68, 546, 13, 327, 17, 1012, 31, 1884, 64, 339, 17, 421, 648, 1136, 31, 1884, 64, 339, 17, 421, 694, 393, 783, 64, 2983, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 64, 339, 17, 421, 2440, 204, 268, 320, 204, 268, 888, 275, 832, 1283, 970, 1728, 523, 275, 2668, 974, 332, 15, 3372, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 322, 2983, 64, 339, 17, 421, 1037, 334, 4145, 917, 19, 204, 305, 1136, 322, 2983, 64, 339, 17, 421, 1037, 334, 9801, 917, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 2983, 64, 339, 17, 421, 2440, 334, 3392, 832, 19, 204, 268, 320, 204, 268, 314, 968, 2237, 12773, 322, 398, 17, 1873, 17, 1824, 17, 1629, 14, 204, 268, 12773, 289, 6229, 21, 17, 368, 659, 322, 21, 17, 338, 22, 659, 322, 22, 17, 500, 659, 3457, 22, 17, 500, 2395, 204, 204, 268, 314, 977, 275, 1451, 458, 329, 275, 7106, 458, 204, 268, 1451, 68, 655, 289, 1306, 204, 268, 7106, 68, 655, 289, 758, 374, 204, 204, 268, 314, 1255, 275, 4145, 917, 311, 275, 1451, 458, 204, 268, 14698, 19, 28748, 13, 3664, 68, 655, 17, 322, 21, 17, 1012, 602, 204, 204, 268, 314, 977, 275, 2264, 329, 3090, 944, 5239, 204, 268, 2264, 289, 463, 1530, 31, 500, 98, 204, 268, 3090, 289, 463, 1530, 31, 443, 98, 204, 204, 268, 1335, 1451, 68, 655, 31, 204, 305, 314, 763, 275, 944, 440, 275, 10658, 2264, 497, 275, 1451, 458, 204, 305, 790, 68, 3803, 17, 790, 68, 1241, 289, 14698, 19, 31227, 13, 3664, 68, 655, 14, 204, 204, 305, 314, 778, 397, 275, 790, 944, 353, 275, 1136, 944, 204, 305, 397, 790, 68, 1241, 564, 1136, 31, 204, 485, 314, 27573, 275, 832, 204, 485, 832, 289, 1306, 204, 485, 1335, 790, 68, 1241, 353, 508, 443, 31, 204, 895, 832, 19, 1223, 13, 1976, 68, 1241, 14, 204, 895, 790, 68, 1241, 289, 3090, 64, 1976, 68, 1241, 66, 204, 485, 407, 832, 12658, 22, 66, 204, 204, 305, 314, 1255, 275, 790, 944, 311, 275, 7106, 458, 204, 305, 7106, 68, 655, 19, 826, 13, 1976, 68, 1241, 14, 204, 204, 305, 314, 19947, 275, 7343, 302, 275, 790, 944, 204, 305, 348, 6438, 292, 12773, 31, 204, 485, 6199, 289, 322, 1976, 68, 1241, 64, 21, 66, 465, 6438, 64, 21, 648, 790, 68, 1241, 64, 22, 66, 465, 6438, 64, 22, 694, 204, 204, 485, 314, 778, 397, 275, 6199, 353, 2614, 275, 2668, 10873, 204, 485, 397, 322, 21, 2186, 6199, 64, 21, 66, 962, 1245, 13, 327, 19, 2052, 64, 21, 4513, 329, 322, 21, 2186, 6199, 64, 22, 66, 962, 1245, 13, 327, 19, 2052, 4019, 204, 895, 314, 888, 275, 717, 2264, 204, 895, 717, 68, 3803, 289, 2264, 64, 1976, 68, 1241, 66, 465, 368, 204, 204, 895, 314, 778, 397, 275, 6199, 353, 508, 292, 275, 7106, 458, 521, 869, 273, 3124, 2264, 204, 895, 397, 6199, 508, 292, 7106, 68, 655, 521, 717, 68, 3803, 962, 2264, 19, 505, 13, 9431, 17, 818, 611, 3643, 25843, 204, 2058, 314, 1716, 275, 2264, 329, 3090, 944, 204, 2058, 2264, 64, 9431, 66, 289, 717, 68, 3803, 204, 2058, 3090, 64, 9431, 66, 289, 790, 68, 1241, 204, 204, 2058, 314, 888, 275, 20205, 322, 2938, 14704, 1759, 14, 204, 2058, 20205, 289, 7041, 13, 9431, 64, 21, 66, 338, 1136, 64, 21, 694, 465, 7041, 13, 9431, 64, 22, 66, 338, 1136, 64, 22, 694, 204, 204, 2058, 314, 1255, 275, 6199, 311, 275, 1451, 458, 204, 2058, 14698, 19, 28748, 13, 3664, 68, 655, 17, 322, 1957, 68, 3803, 465, 20205, 17, 6199, 602, 204, 204, 268, 314, 828, 1236, 832, 353, 1193, 17, 407, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 906, 3320, 68, 546, 13, 327, 17, 832, 31, 783, 64, 2983, 64, 339, 17, 421, 4395, 1848, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4456, 275, 1727, 523, 275, 2668, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 1218, 64, 2983, 64, 339, 17, 421, 3795, 334, 832, 311, 2790, 19, 204, 305, 1848, 322, 325, 330, 334, 1848, 302, 275, 1727, 19, 204, 268, 320, 204, 268, 314, 4456, 275, 1727, 204, 268, 348, 296, 17, 322, 93, 17, 469, 14, 292, 3209, 13, 546, 330, 204, 305, 397, 296, 564, 500, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 21171, 465, 1848, 204, 305, 1677, 296, 564, 1245, 13, 546, 14, 338, 368, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 21171, 465, 1848, 204, 305, 902, 31, 204, 485, 370, 19, 2052, 64, 94, 1799, 93, 66, 289, 1848, 465, 28365, 12, 465, 1848, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 977, 275, 2668, 329, 2992, 204, 264, 2668, 289, 31099, 379, 348, 906, 292, 933, 13, 1036, 2395, 348, 906, 292, 933, 13, 1036, 2395, 204, 264, 19696, 289, 463, 204, 268, 379, 10743, 22, 597, 322, 21, 17, 500, 17, 500, 659, 204, 268, 379, 10743, 23, 597, 322, 1003, 17, 931, 17, 500, 14, 204, 264, 1211, 204, 204, 264, 314, 666, 273, 23588, 5064, 11546, 270, 1014, 204, 264, 44263, 289, 23588, 5064, 11546, 270, 13, 2052, 17, 19696, 14, 204, 204, 264, 314, 4456, 273, 1727, 1283, 970, 21999, 204, 264, 44263, 19, 3320, 68, 2602, 611, 10743, 22, 491, 500, 17, 379, 10743, 23, 491, 500, 14, 204, 204, 264, 314, 1198, 275, 2668, 204, 264, 348, 1237, 292, 2668, 31, 204, 268, 456, 27395, 1541, 13, 937, 602, 204, 0, 8, 968, 273, 1034, 850, 440, 273, 11100, 588, 204, 676, 15329, 31, 204, 264, 320, 204, 264, 3301, 850, 2457, 273, 5654, 440, 2986, 311, 2037, 1163, 1187, 329, 1895, 273, 5316, 19, 204, 204, 264, 1532, 31, 204, 268, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 5654, 68, 932, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 15329, 1014, 19, 204, 204, 268, 457, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 305, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 11735, 68, 932, 289, 5654, 68, 932, 204, 204, 264, 436, 2037, 68, 11735, 68, 932, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 1187, 302, 5654, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 1834, 353, 273, 463, 327, 19, 11735, 68, 932, 12443, 204, 204, 264, 436, 1895, 68, 11438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 5316, 2927, 560, 275, 5654, 19, 204, 268, 320, 204, 268, 456, 499, 20492, 5814, 273, 5316, 1280, 204, 204, 204, 8, 968, 3161, 1034, 850, 440, 273, 11100, 588, 204, 676, 20049, 20492, 31, 204, 264, 320, 204, 264, 3301, 850, 2457, 437, 6132, 5654, 440, 2986, 311, 2037, 1163, 10930, 1870, 329, 6979, 19, 204, 204, 264, 1532, 31, 204, 268, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 10930, 68, 2201, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 20049, 20492, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 370, 19, 23570, 68, 2201, 289, 10930, 68, 2201, 204, 204, 264, 436, 2037, 68, 23570, 68, 2201, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 456, 13, 75, 7, 39, 8663, 1870, 31, 463, 327, 19, 23570, 68, 2201, 28131, 204, 204, 264, 436, 6979, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 943, 5850, 275, 6132, 5654, 353, 27916, 19, 204, 268, 320, 204, 268, 456, 499, 37493, 5654, 353, 27916, 1280, 204, 204, 204, 8, 968, 273, 20333, 496, 28073, 497, 20049, 20492, 329, 15329, 204, 676, 20049, 11424, 13, 37493, 20492, 17, 15329, 330, 204, 264, 320, 204, 264, 3685, 676, 2457, 437, 6132, 2147, 496, 28073, 497, 20049, 20492, 329, 15329, 19, 204, 204, 264, 1532, 31, 204, 268, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 268, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 5654, 68, 932, 31, 394, 17, 10930, 68, 2201, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 20049, 11424, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 5654, 68, 932, 322, 325, 330, 334, 1187, 302, 5654, 19, 204, 305, 10930, 68, 2201, 322, 339, 330, 334, 790, 10930, 1870, 302, 275, 6132, 5654, 19, 204, 268, 320, 204, 268, 15329, 3925, 924, 889, 327, 17, 5654, 68, 932, 14, 204, 268, 20049, 20492, 3925, 924, 889, 327, 17, 10930, 68, 2201, 14, 204, 204, 264, 436, 1895, 68, 11438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8710, 17167, 275, 1895, 68, 11438, 1216, 311, 456, 273, 5316, 2824, 311, 437, 6132, 2147, 19, 204, 268, 320, 204, 268, 456, 499, 37493, 2147, 5814, 273, 19249, 2888, 6712, 5316, 1280, 204, 204, 204, 8, 666, 437, 1014, 302, 275, 20333, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 6132, 68, 5365, 289, 20049, 11424, 499, 37493, 5403, 528, 5074, 14, 204, 268, 6132, 68, 5365, 19, 2994, 68, 11735, 68, 932, 374, 204, 268, 6132, 68, 5365, 19, 2994, 68, 23570, 68, 2201, 374, 204, 268, 6132, 68, 5365, 19, 5934, 68, 11438, 374, 204, 268, 6132, 68, 5365, 19, 11146, 374, 204, 268, 314, 4347, 275, 1216, 8352, 1552, 302, 275, 20333, 204, 268, 456, 13, 37493, 11424, 3925, 82, 295, 4422, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 0, 10853, 7741, 2677, 12730, 2653, 854, 28555, 16864, 460, 11620, 8356, 408, 8075, 2657, 30868, 1524, 9560, 460, 31690, 28892, 408, 28892, 10774, 3064, 7077, 48, 14742, 18889, 7077, 44, 14742, 9863, 568, 10853, 7741, 24057, 12730, 10853, 7741, 4987, 10853, 7741, 24973, 408, 4411, 13427, 1822, 7741, 12749, 11679, 31690, 9107, 460, 24057, 568, 4126, 21365, 11679, 33494, 5758, 47217, 12749, 2134, 19605, 4323, 7741, 24973, 408, 29228, 13971, 47217, 19605, 1822, 7741, 24973, 408, 2253, 10853, 7741, 4987, 6663, 11226, 1822, 7741, 24973, 568, 1822, 7741, 13, 29228, 1003, 48, 14, 3058, 10853, 7741, 2677, 7077, 48, 18, 7077, 44, 2653, 854, 1822, 7741, 460, 26200, 7741, 6107, 3058, 6226, 9107, 7741, 6107, 2677, 7077, 50, 18, 7077, 44, 2653, 40940, 10853, 7741, 460, 26200, 7741, 6107, 568, 921, 9855, 1674, 17939, 1191, 408, 24973, 3361, 1811, 35021, 408, 35021, 23992, 1456, 10434, 16207, 2299, 3058, 3653, 3796, 24973, 4525, 35021, 408, 35021, 23992, 1456, 10434, 3653, 3796, 460, 31690, 2299, 408, 19605, 31690, 9107, 568, 921, 31690, 9107, 28892, 22944, 2051, 80, 28603, 1398, 408, 31690, 9107, 43355, 1773, 2949, 21307, 408, 7813, 10434, 23412, 27905, 408, 3038, 31690, 9107, 28892, 28628, 2051, 80, 14742, 1398, 408, 31690, 9107, 19511, 12489, 1191, 20087, 408, 2823, 2056, 27173, 5784, 2638, 14970, 460, 2134, 5788, 5784, 48352, 408, 10434, 7292, 15932, 27905, 6486, 408, 2780, 5227, 6472, 7292, 15932, 27905, 6486, 12883, 7741, 31690, 9107, 19605, 10853, 7741, 3058, 10853, 7741, 3784, 921, 26464, 23819, 8437, 1191, 3944, 13191, 3865, 408, 942, 3491, 14668, 4769, 4987, 7452, 10853, 7741, 27905, 6478, 568, 204, 7115, 23197, 12730, 1701, 3560, 13423, 28892, 942, 4323, 7741, 725, 1822, 7741, 1227, 10097, 1822, 7741, 460, 28892, 10774, 15944, 12239, 5890, 31282, 12145, 3560, 9027, 5890, 7741, 6107, 460, 12730, 1701, 3560, 18255, 12145, 21817, 568, 8695, 42341, 3708, 48524, 4152, 1227, 942, 4152, 20182, 6478, 568, 204, 4323, 7741, 13, 3064, 11165, 48, 14742, 1524, 30303, 48, 14742, 14, 11204, 12730, 1701, 3784, 13643, 921, 4323, 7741, 11004, 45877, 8706, 1262, 1227, 14159, 568, 4296, 28892, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20887, 4525, 2134, 3602, 1107, 105, 1990, 16229, 3590, 3235, 20780, 921, 7799, 8356, 3708, 3491, 12923, 1227, 42341, 3708, 3491, 12923, 2436, 9358, 3013, 44297, 226, 1107, 105, 7652, 1262, 568, 4525, 7799, 8356, 3708, 3653, 3796, 2299, 21472, 921, 42341, 3708, 2773, 3491, 1191, 42341, 460, 22806, 3944, 4021, 3361, 1432, 1531, 38983, 22806, 3865, 19, 16207, 2299, 12399, 6899, 21178, 3944, 23197, 408, 6878, 2299, 3476, 15603, 460, 6325, 4565, 568, 204, 3235, 921, 4323, 7741, 460, 42341, 3708, 7080, 7162, 3235, 28892, 3064, 9030, 48, 14742, 1524, 30303, 48, 14742, 4743, 13423, 28892, 1189, 30303, 19, 23, 48, 14742, 568, 4296, 7741, 6107, 460, 9107, 2564, 29165, 1189, 31782, 82, 3058, 204, 22, 19, 11746, 13592, 6713, 6290, 2638, 408, 7931, 4323, 7741, 6899, 12744, 1811, 30444, 28870, 25383, 29491, 11219, 15143, 7799, 4472, 15932, 568, 204, 23, 19, 3235, 921, 4323, 7741, 460, 7799, 8356, 3708, 47176, 40427, 40259, 21304, 18639, 568, 204, 24, 19, 4323, 7741, 3560, 942, 12145, 10458, 3589, 12554, 568, 5844, 10458, 3589, 12554, 4987, 7744, 6325, 11114, 408, 6878, 942, 1003, 1565, 23758, 28258, 568, 204, 25, 19, 10282, 4296, 28892, 460, 16207, 2299, 12399, 15603, 25460, 408, 6878, 6899, 9014, 14655, 22897, 460, 7799, 8356, 12399, 568, 204, 26, 19, 2738, 6429, 6966, 7741, 6107, 460, 12730, 1701, 3560, 408, 4296, 7741, 6107, 5778, 27905, 47239, 7474, 10795, 568, 204, 27, 19, 42341, 18938, 7744, 14655, 38147, 7741, 6107, 9184, 1345, 11114, 568, 204, 5757, 8706, 1262, 1984, 204, 36488, 27525, 1284, 29760, 4769, 3058, 9109, 4121, 29636, 1227, 3079, 2889, 104, 45436, 2110, 3655, 21103, 8706, 1262, 3058, 6523, 6969, 10090, 4856, 13358, 21103, 8706, 1262, 3058, 9190, 39929, 25232, 1227, 17339, 34822, 3058, 9190, 38410, 21103, 8706, 1262, 3058, 10451, 3655, 16570, 21103, 8706, 1262, 3058, 3655, 13739, 1227, 5137, 34822, 568, 204, 1822, 7741, 13, 3235, 28892, 1189, 2353, 19, 7525, 50, 14742, 14, 921, 4296, 28892, 460, 42341, 3708, 22128, 4485, 3491, 12923, 3590, 16064, 2366, 408, 27919, 20197, 3227, 3013, 20719, 16229, 11135, 2773, 3491, 568, 42341, 3708, 7931, 4525, 38671, 4045, 2366, 16229, 16229, 3590, 3235, 568, 20780, 4525, 42341, 3708, 7858, 38671, 41458, 460, 3190, 2414, 1227, 5548, 2110, 47292, 7799, 8356, 3708, 2773, 3491, 7858, 22806, 8383, 11679, 408, 7307, 1262, 7292, 15932, 42341, 3708, 1603, 2773, 3491, 22806, 3590, 16103, 11677, 4045, 2366, 568, 4945, 11197, 4525, 5778, 7780, 38671, 22806, 460, 3190, 2414, 1227, 5548, 2110, 408, 8465, 6573, 5778, 1970, 6899, 3064, 42341, 3708, 27905, 1524, 7799, 8356, 3708, 568, 204, 22, 19, 3235, 28892, 1189, 2353, 19, 7525, 50, 14742, 408, 4296, 28892, 460, 9107, 2564, 25731, 1189, 2898, 82, 3058, 204, 23, 19, 11746, 13592, 6713, 2638, 408, 4296, 28892, 460, 9107, 2564, 2657, 12744, 1811, 19759, 45624, 408, 6878, 17793, 1456, 11219, 7799, 4472, 15932, 568, 42341, 3708, 4485, 21535, 13592, 23226, 15932, 3058, 204, 24, 19, 4296, 7741, 6107, 47176, 2402, 11004, 21247, 22978, 40259, 18639, 3058, 204, 25, 19, 42341, 3708, 7931, 1254, 9855, 27125, 34498, 3058, 204, 27, 19, 4296, 4769, 6472, 4121, 9620, 23047, 21817, 408, 2657, 5718, 7799, 4472, 17150, 9855, 27125, 3058, 204, 28, 19, 2657, 5227, 25951, 5778, 5452, 8356, 2739, 27125, 1191, 3058, 204, 29, 19, 5778, 27905, 47239, 2807, 4323, 7741, 1345, 4565, 408, 7744, 6744, 2675, 11114, 568, 204, 29220, 4068, 21103, 8706, 1262, 3058, 8345, 1971, 3464, 6538, 17698, 29760, 8706, 1262, 3058, 26771, 29840, 1227, 13974, 21103, 44055, 8706, 1262, 3058, 3283, 2949, 5531, 25232, 4769, 3058, 10451, 3655, 16570, 29760, 1227, 8706, 1262, 3058, 17179, 11423, 6514, 26584, 4769, 3058, 19017, 13294, 29760, 4769, 3058, 25034, 13974, 21103, 44055, 8706, 1262, 3058, 7657, 39734, 29760, 568, 204, 10097, 1822, 7741, 13, 3235, 28892, 1189, 29, 2682, 50, 14742, 1524, 36373, 50, 14742, 9863, 10097, 1822, 7741, 4769, 4525, 2134, 2299, 1550, 27905, 23324, 568, 2134, 32140, 23324, 15603, 460, 6744, 25460, 408, 6878, 7799, 4472, 460, 12399, 6744, 22673, 3590, 23197, 568, 4296, 7741, 6107, 7799, 4472, 15932, 7474, 7292, 408, 3079, 4152, 37704, 1003, 82, 13620, 568, 20887, 4525, 2134, 3965, 1107, 105, 1990, 16229, 3590, 7307, 568, 204, 22, 19, 921, 4296, 7741, 6107, 408, 10218, 460, 23197, 6744, 2675, 18787, 30413, 18974, 1227, 6848, 28348, 23197, 460, 28892, 1189, 29, 6996, 50, 14742, 408, 5381, 3380, 23197, 460, 7741, 6107, 1189, 3276, 23, 50, 14742, 1524, 44767, 50, 14742, 9863, 408, 921, 13440, 11516, 460, 7741, 6107, 1189, 41374, 50, 14742, 1524, 4957, 27, 50, 14742, 9863, 568, 4296, 7741, 6107, 460, 9107, 2564, 25731, 1189, 2188, 3912, 13620, 568, 204, 23, 19, 7115, 408, 4296, 7741, 6107, 21946, 22171, 7115, 16792, 460, 23197, 13, 9594, 23197, 1189, 25, 60, 408, 18974, 23197, 1189, 4589, 82, 60, 23215, 204, 24, 19, 10097, 1822, 7741, 7741, 6107, 460, 2134, 9107, 7813, 4525, 10272, 6713, 408, 19479, 2321, 408, 43986, 408, 21147, 1955, 46406, 22764, 33715, 568, 2738, 6429, 1822, 7741, 460, 9855, 27125, 9184, 408, 4296, 7741, 6107, 460, 9855, 27125, 25777, 1227, 13592, 1789, 2110, 1550, 568, 204, 25, 19, 9855, 27125, 460, 2773, 3491, 7931, 854, 2564, 4906, 1227, 27125, 6213, 568, 2773, 3491, 942, 3491, 18262, 13274, 5881, 1971, 20182, 4587, 408, 11572, 5890, 8706, 15727, 7624, 568, 204, 26, 19, 4296, 7741, 6107, 942, 5844, 7799, 4472, 15932, 408, 6878, 1603, 7799, 4472, 12399, 21756, 3590, 23197, 568, 204, 27, 19, 942, 48644, 5778, 27905, 47239, 408, 921, 2675, 8552, 15563, 2657, 7799, 4472, 24459, 9855, 27125, 568, 204, 32315, 7858, 44055, 8706, 1262, 3058, 29840, 9190, 12644, 44055, 8706, 1262, 3058, 23600, 4232, 45201, 29760, 1227, 8706, 1262, 3058, 7420, 18500, 29760, 1227, 8706, 1262, 3058, 26443, 4232, 45201, 29760, 1227, 8706, 1262, 3058, 1946, 20455, 4068, 21103, 8706, 1262, 3058, 41589, 6514, 1899, 1670, 33340, 8706, 1262, 568, 204, 942, 4152, 12730, 1701, 3784, 2677, 23, 19, 2985, 44, 14742, 725, 26, 19, 29, 44, 14742, 2653, 942, 4152, 12730, 1701, 16118, 4323, 1458, 10853, 21946, 725, 23819, 15932, 2564, 725, 27905, 5778, 2359, 1251, 39241, 1822, 1227, 17211, 3965, 36486, 42456, 2065, 3079, 4152, 12730, 1701, 16858, 921, 3784, 7858, 11148, 6371, 13415, 568, 3944, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13191, 1773, 8706, 1262, 1524, 23707, 25232, 725, 10265, 4304, 48010, 4068, 725, 6514, 19344, 4068, 1955, 8706, 1262, 1191, 568, 6878, 3865, 3136, 7741, 6107, 6472, 2675, 20945, 12927, 2114, 408, 11026, 921, 34261, 12399, 2386, 33871, 13592, 44463, 12808, 408, 13592, 44463, 1603, 4296, 7741, 6107, 460, 10853, 7741, 48639, 14650, 10853, 1227, 48352, 408, 13225, 6290, 10853, 7741, 34261, 18938, 20222, 7799, 8356, 568, 204, 10853, 7741, 4698, 3875, 25961, 50, 26, 3787, 204, 21103, 9219, 3235, 15159, 854, 1984, 16759, 3708, 4525, 1458, 10853, 2773, 3491, 3921, 7573, 7191, 28892, 460, 10853, 7741, 20222, 408, 2891, 10853, 7741, 8494, 9398, 1458, 10853, 2773, 3491, 3235, 12399, 1398, 9014, 42341, 24973, 27265, 10853, 7741, 8494, 8181, 23324, 3944, 8626, 3227, 3058, 10853, 7741, 8494, 2499, 13353, 7939, 9019, 1955, 5452, 4525, 8494, 48773, 3921, 7573, 2773, 3491, 3921, 7573, 27007, 3058, 4769, 34261, 2773, 3491, 3190, 26761, 3064, 10853, 7741, 8494, 3921, 7573, 8398, 8360, 9107, 20222, 408, 2056, 2773, 3491, 20597, 3708, 3921, 43934, 16759, 3708, 408, 16759, 3708, 32099, 3827, 460, 20222, 3590, 3240, 4045, 1227, 3240, 9019, 11012, 43934, 1946, 3863, 2453, 4769, 3590, 6326, 6152, 3058, 2453, 4769, 6606, 28718, 3523, 6201, 21542, 4296, 8494, 460, 27279, 2114, 408, 12253, 12145, 27016, 21306, 26692, 6152, 1227, 7780, 408, 27834, 4477, 9960, 20222, 7780, 12023, 7436, 21826, 568, 204, 921, 1107, 105, 1990, 6478, 13, 2134, 3602, 18, 31690, 27064, 23819, 15159, 13, 35036, 61, 725, 16521, 61, 725, 43614, 27064, 3064, 10853, 7741, 8494, 1524, 16759, 18938, 5778, 27905, 7371, 13, 38671, 4045, 2366, 725, 5673, 3841, 10633, 10853, 725, 1822, 3183, 25719, 9107, 14, 5958, 28892, 10774, 24170, 408, 12145, 4438, 16081, 27905, 7371, 942, 19737, 460, 24627, 408, 3038, 22610, 16759, 3708, 921, 7340, 24089, 1390, 408, 5958, 31576, 12391, 19864, 41136, 1390, 33628, 35458, 408, 7462, 16759, 3708, 44365, 48928, 1189, 1822, 7741, 31819, 1227, 7780, 30647, 11152, 9219, 4698, 3875, 568, 1822, 7741, 31819, 17168, 3921, 7573, 3708, 1227, 34261, 3708, 408, 2336, 7340, 7782, 1984, 9014, 1822, 7741, 1458, 10853, 21946, 1254, 17359, 10853, 7741, 8494, 2823, 4660, 23324, 3058, 1603, 1458, 10853, 20222, 3590, 4045, 2366, 408, 8777, 2499, 5778, 3921, 7573, 4264, 10853, 7741, 8494, 3058, 34261, 2823, 3240, 4045, 13444, 10853, 7741, 8494, 12883, 7741, 20222, 568, 5890, 10853, 7741, 22378, 4769, 12883, 7741, 31819, 4587, 6472, 6462, 22074, 568, 204, 16759, 18938, 7780, 30647, 31952, 7782, 1984, 2065, 8706, 1262, 4769, 11910, 3590, 23819, 408, 2823, 12023, 8706, 1262, 4769, 11910, 1458, 8398, 38903, 3058, 7780, 2065, 10853, 7741, 8494, 460, 23819, 6614, 13, 2453, 18, 3064, 16948, 14, 3058, 20222, 460, 7939, 3240, 9019, 568, 1603, 6462, 40259, 4769, 9189, 12023, 5673, 39634, 30198, 408, 1603, 10853, 7741, 8494, 2065, 16759, 3708, 2436, 1345, 3921, 7573, 25598, 3590, 35285, 1227, 3240, 6730, 408, 5958, 3590, 10853, 7741, 8494, 1227, 16759, 3708, 30542, 18245, 27933, 1955, 41619, 7340, 568, 204, 26464, 10853, 7741, 22378, 21103, 7799, 8356, 15932, 11691, 2675, 10644, 460, 22440, 568, 7115, 408, 2564, 15932, 26464, 10853, 7741, 22378, 21103, 7744, 2778, 2675, 11114, 408, 7466, 20294, 6960, 2336, 7799, 8356, 15932, 20244, 44544, 568, 6290, 10853, 7741, 8494, 7799, 8356, 15932, 460, 13679, 7782, 2773, 3491, 3235, 28892, 725, 16759, 18938, 12730, 22171, 21946, 725, 16759, 18938, 34261, 9884, 16262, 2148, 725, 10853, 7741, 8494, 460, 4413, 13573, 725, 2773, 3491, 2338, 25719, 16103, 27053, 460, 54, 5057, 725, 2773, 3491, 12927, 725, 16759, 3708, 1227, 10853, 7741, 8494, 460, 1107, 105, 1990, 2148, 408, 5958, 10853, 7741, 8494, 16785, 8181, 460, 23324, 2338, 3921, 7573, 39151, 23324, 1955, 568, 19759, 21103, 7799, 4472, 15932, 1227, 8356, 2739, 15932, 854, 12145, 408, 8356, 2739, 15932, 29165, 854, 7799, 4472, 15932, 460, 2169, 10, 18889, 2934, 12899, 204, 8612, 10853, 7741, 42498, 11501, 8255, 408, 854, 16937, 1773, 14927, 10853, 7741, 19582, 460, 5083, 3445, 8310, 9969, 11104, 3058, 23035, 21946, 460, 32669, 8075, 10853, 7741, 20222, 460, 23035, 21946, 42498, 32669, 82, 725, 32669, 60, 8075, 408, 4411, 2065, 82, 60, 725, 60, 460, 7712, 6201, 9978, 21131, 1984, 204, 14407, 20222, 21946, 1189, 93, 408, 60, 408, 9092, 32669, 82, 8075, 1398, 2336, 25131, 1189, 1984, 204, 22, 82, 60, 41170, 21, 32669, 82, 568, 14407, 1984, 22, 60, 41170, 2188, 32669, 82, 408, 41170, 21, 32669, 60, 568, 204, 14655, 21946, 460, 32669, 8075, 10853, 7741, 20222, 460, 14655, 21946, 42498, 32669, 1227, 32669, 72, 20182, 12554, 8075, 408, 2336, 24627, 20679, 1984, 204, 32669, 854, 30444, 11152, 21946, 460, 2807, 5057, 460, 1603, 2642, 8075, 12554, 3058, 2253, 32669, 72, 854, 9317, 831, 7741, 2615, 22171, 21946, 1227, 8360, 7741, 22171, 21946, 460, 2807, 5057, 460, 1603, 2642, 8075, 12554, 568, 204, 2773, 3491, 4129, 6599, 7931, 3571, 73, 30313, 2860, 32669, 73, 8075, 568, 73, 30313, 21252, 2773, 3491, 2738, 6429, 3079, 12927, 2773, 26772, 21946, 23324, 26326, 2356, 2807, 408, 32669, 73, 21252, 2738, 6429, 7814, 9107, 16103, 2455, 5876, 15170, 18603, 21946, 23324, 26326, 2356, 2807, 408, 7814, 9107, 16103, 19459, 4129, 6599, 1189, 23, 19, 1909, 73, 30313, 408, 7466, 21, 32669, 73, 34, 23, 19, 1909, 73, 30313, 568, 204, 41458, 1984, 12599, 24285, 24973, 4525, 460, 44463, 2860, 16122, 408, 13225, 5227, 2134, 1367, 47703, 4250, 1367, 2860, 22146, 12554, 460, 23324, 408, 8255, 1984, 9678, 18782, 408, 20860, 204, 24973, 1984, 8255, 38593, 4525, 27053, 1390, 9317, 831, 13363, 35294, 2134, 17902, 2642, 408, 8255, 1984, 2857, 6773, 408, 38, 204, 2134, 3602, 1984, 3491, 12923, 3716, 16064, 3013, 27443, 408, 14765, 854, 3883, 3491, 408, 8185, 31690, 42341, 22131, 408, 3491, 12923, 1432, 9014, 17853, 5827, 1367, 408, 8255, 1984, 512, 107, 3178, 408, 45, 204, 2134, 3965, 1984, 2822, 22347, 460, 35130, 3883, 2134, 44463, 31947, 6472, 44823, 2134, 17902, 4562, 408, 8255, 1984, 2337, 6969, 408, 43, 204, 4081, 1984, 32669, 82, 854, 4472, 22, 38471, 1531, 3354, 4084, 5057, 408, 1254, 1789, 17490, 8075, 460, 23035, 21946, 2134, 3004, 568, 7712, 6201, 1833, 2815, 1984, 204, 3064, 1390, 1002, 5522, 36328, 408, 21946, 4126, 9145, 831, 14557, 408, 2134, 3004, 5057, 9145, 24, 32669, 204, 5651, 1984, 32669, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 34, 1003, 34382, 38, 2677, 38, 1189, 21946, 41825, 14557, 2642, 2653, 204, 24, 19896, 19193, 8275, 1984, 2891, 9317, 831, 38005, 2860, 23480, 45202, 27905, 27053, 1946, 2405, 9145, 460, 28696, 6619, 408, 8255, 1262, 32669, 8075, 568, 204, 25, 19896, 5768, 2114, 1984, 15019, 2359, 3235, 7741, 4241, 15944, 4129, 6599, 2338, 4241, 2638, 30868, 460, 36069, 6486, 568, 18, 24, 32669, 4241, 13489, 5651, 4129, 6599, 15603, 24, 32669, 20363, 4241, 13489, 408, 18, 2169, 32669, 725, 18, 2682, 32669, 2098, 1748, 568, 204, 26, 19896, 21948, 9107, 2807, 2677, 4286, 9107, 8275, 13573, 42684, 1490, 21948, 9107, 12682, 1398, 408, 9107, 25495, 22806, 2065, 9107, 4197, 22806, 2356, 2807, 2677, 59, 18240, 55, 2653, 204, 27, 19896, 3283, 10258, 3653, 4045, 226, 1984, 10732, 9358, 11152, 3429, 47403, 20222, 13155, 22, 1227, 13155, 23, 8185, 4438, 3491, 2114, 8418, 2499, 9014, 10272, 6366, 4045, 1789, 2359, 408, 39466, 23, 13155, 22, 18, 13155, 23, 1227, 23, 13155, 23, 18, 13155, 22, 11152, 28892, 1789, 2359, 19605, 3283, 10258, 3653, 4045, 1789, 2359, 408, 2336, 21946, 53, 24, 1227, 20222, 13155, 22, 2860, 13155, 23, 460, 21946, 2356, 2807, 6076, 3283, 10258, 3653, 4045, 30462, 50, 24, 568, 204, 5651, 50, 24, 34, 1003, 34382, 53, 24, 20, 53, 22, 2677, 32669, 72, 2653, 204, 28, 19896, 34191, 30462, 1984, 7931, 23197, 1189, 22171, 2868, 20620, 2807, 2065, 14981, 2868, 20620, 2807, 460, 2807, 5057, 408, 9414, 3865, 1191, 1971, 1189, 1789, 17490, 1550, 11501, 568, 8255, 1262, 32669, 568, 204, 29, 19896, 1107, 105, 1990, 2148, 1984, 1107, 105, 1990, 6128, 3491, 1757, 260, 2065, 14981, 6128, 3491, 1757, 260, 460, 21946, 2807, 408, 8255, 1262, 32669, 568, 204, 30, 19896, 31523, 2148, 1984, 2183, 16103, 2860, 20222, 26020, 12166, 1524, 6966, 6128, 3491, 1757, 260, 460, 21946, 2065, 3854, 942, 21946, 2356, 2807, 408, 8255, 32669, 568, 204, 1003, 19896, 2773, 3491, 4129, 6599, 2677, 32669, 42684, 4477, 2773, 3491, 2499, 1458, 10853, 21946, 6588, 9317, 831, 30608, 12927, 15860, 30868, 28186, 568, 7931, 5227, 2773, 3491, 44823, 30868, 12927, 7858, 2299, 3476, 42, 2065, 19238, 3359, 3841, 2098, 2114, 2773, 3491, 22897, 30868, 2299, 2299, 3476, 42, 21, 16858, 408, 1254, 21946, 26326, 9145, 460, 14557, 2642, 23197, 1189, 4129, 6599, 568, 48076, 34, 42, 23, 20, 42, 5559, 204, 1641, 19896, 2773, 3491, 12927, 5776, 1984, 854, 2773, 3491, 30868, 13934, 31690, 9107, 921, 17394, 9560, 34992, 10774, 568, 12927, 5776, 13489, 2148, 7931, 21252, 2453, 44885, 13489, 2148, 5651, 3064, 18454, 5057, 15603, 45134, 1398, 4004, 2615, 2405, 6496, 460, 22379, 7217, 568, 204, 1258, 19896, 2773, 3491, 39754, 2807, 1984, 4477, 18454, 3429, 3841, 4129, 6599, 2065, 18454, 5673, 3841, 4129, 6599, 2356, 2807, 408, 1262, 1789, 17490, 8075, 568, 204, 2353, 19896, 3579, 1505, 1984, 15851, 6076, 3579, 7741, 3579, 1505, 2366, 408, 5651, 3827, 1458, 3865, 25846, 28892, 408, 8185, 34261, 1227, 3921, 7573, 3865, 2098, 2822, 28892, 408, 6271, 3827, 1458, 7813, 5718, 3590, 408, 19605, 3579, 1505, 568, 204, 2300, 19896, 7161, 1505, 1984, 15851, 6076, 8684, 7741, 7161, 1505, 2366, 408, 5651, 3827, 1458, 3865, 11152, 5890, 28892, 408, 9198, 44220, 921, 1458, 5532, 20168, 22346, 26761, 18784, 460, 40227, 568, 3579, 1505, 725, 7161, 1505, 2402, 13430, 14117, 23819, 13423, 6478, 568, 204, 2314, 19896, 28696, 6619, 3708, 1984, 13, 26295, 30519, 14, 18371, 16506, 13489, 460, 7741, 6107, 26684, 11226, 2738, 8350, 1189, 9652, 725, 2336, 28696, 6619, 1227, 21817, 12599, 9438, 42419, 2065, 28892, 47952, 460, 2968, 2642, 460, 725, 3571, 41458, 34939, 38506, 5335, 7594, 8128, 408, 2336, 5757, 26793, 854, 12673, 27053, 1191, 20222, 25131, 725, 16841, 12599, 9438, 29257, 568, 204, 2132, 19896, 1107, 105, 1990, 3708, 1984, 3064, 2453, 5759, 26584, 1191, 33713, 1670, 6848, 20222, 460, 38005, 568, 6395, 1107, 105, 1990, 2148, 25131, 15856, 26, 19, 1003, 19, 1909, 19, 1036, 5013, 32669, 5890, 24134, 3058, 3064, 3354, 4640, 33713, 20222, 33985, 1251, 21946, 1107, 105, 1990, 3708, 2677, 7077, 60, 10412, 2336, 1107, 105, 1990, 2148, 1432, 3064, 2188, 99, 4452, 32669, 1191, 22851, 3058, 1107, 105, 1990, 18938, 41874, 1689, 7452, 51, 4684, 568, 204, 1794, 19896, 38671, 1984, 25911, 921, 9317, 831, 27053, 2677, 2278, 41825, 3708, 2653, 2860, 25361, 22171, 6128, 3491, 1757, 260, 408, 34261, 2134, 21946, 460, 3820, 20, 38005, 725, 23480, 2860, 16167, 3378, 19605, 38671, 568, 1603, 38671, 2570, 9219, 20458, 854, 12599, 9438, 29257, 1227, 2405, 1367, 31400, 460, 21946, 568, 204, 1036, 19896, 3716, 4138, 3708, 1984, 2678, 20222, 3579, 12927, 27905, 460, 38005, 568, 204, 3699, 19896, 4499, 41874, 1984, 5227, 5890, 34278, 27905, 3491, 6128, 3491, 23095, 460, 16167, 568, 204, 2898, 19896, 25734, 3491, 1984, 854, 27905, 1822, 7741, 24973, 460, 27905, 3491, 568, 204, 3787, 19896, 2773, 3491, 1984, 13, 608, 18115, 14, 854, 2499, 1822, 7741, 24973, 2860, 9107, 3883, 12554, 460, 23324, 3796, 7712, 1579, 31690, 9107, 2823, 3841, 8840, 12927, 1458, 10853, 27007, 2860, 5227, 13444, 7191, 12927, 460, 31690, 9107, 44545, 1189, 1822, 7741, 24973, 568, 204, 921, 12319, 10853, 7741, 23819, 1191, 408, 5757, 17168, 10971, 41687, 28892, 1984, 27905, 28892, 48791, 34261, 28892, 725, 1191, 7741, 1227, 3354, 4241, 28892, 568, 3354, 4241, 28892, 854, 25253, 4045, 2366, 41504, 20222, 28892, 568, 2253, 27406, 27905, 28892, 5385, 2807, 3354, 4241, 28892, 1822, 6049, 408, 44044, 7741, 23342, 10774, 854, 4589, 50, 14742, 1524, 5049, 44, 14742, 408, 5778, 20222, 7059, 22209, 1822, 7741, 1926, 3590, 27905, 460, 568, 39643, 408, 10853, 7741, 4769, 6472, 6371, 26503, 27905, 4045, 2366, 20222, 31952, 408, 17622, 921, 942, 37187, 20222, 1227, 12599, 5548, 20222, 64, 95, 23, 66, 20076, 408, 4296, 4769, 15289, 16492, 1254, 2570, 12690, 6658, 3921, 7573, 11026, 1254, 23368, 9884, 16262, 2148, 34261, 4045, 2366, 20222, 568, 12599, 5548, 20222, 39772, 20182, 1984, 4241, 2386, 12599, 5548, 20222, 1227, 4241, 2638, 12599, 5548, 20222, 568, 4241, 2638, 12599, 5548, 20222, 21252, 23034, 921, 20222, 7741, 23342, 18118, 460, 47952, 20222, 408, 14407, 3571, 22146, 26464, 27905, 3784, 25327, 5778, 20222, 568, 4241, 2386, 12599, 5548, 20222, 5385, 23034, 45411, 35821, 460, 20222, 7741, 23342, 46731, 408, 14407, 3571, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 40930, 26464, 27905, 3784, 921, 22146, 25911, 25327, 5778, 20222, 568, 6429, 26464, 23819, 17400, 408, 1345, 9850, 1773, 7307, 10853, 7741, 34261, 7340, 408, 36780, 16112, 14515, 1438, 20182, 12599, 5548, 20222, 568, 1191, 7741, 1689, 3944, 25253, 6385, 27905, 20, 12869, 28892, 1227, 3354, 4241, 28892, 460, 48856, 408, 2253, 7986, 27905, 6478, 25561, 5253, 2638, 7658, 8412, 19346, 568, 7931, 17400, 408, 4241, 2638, 12599, 5548, 20222, 2657, 3944, 2773, 3491, 1902, 4241, 460, 11530, 9107, 3708, 16112, 14515, 568, 2253, 1191, 7741, 460, 9358, 2678, 2780, 39054, 921, 20222, 3944, 20855, 1524, 3354, 4241, 28892, 2823, 3500, 11703, 6152, 12665, 2499, 4241, 2386, 12599, 5548, 20222, 11530, 5277, 568, 25986, 408, 921, 3921, 7573, 7594, 408, 1191, 7741, 2968, 3944, 25253, 11530, 5277, 7462, 3064, 3354, 4241, 25418, 1524, 1191, 7741, 5002, 9878, 5490, 25327, 35391, 5778, 1227, 34191, 568, 204, 7452, 5253, 2638, 7658, 43387, 12994, 11226, 7307, 7371, 854, 9092, 1191, 7741, 4736, 3411, 1550, 11153, 20222, 9255, 7858, 38005, 1377, 2642, 568, 7986, 7371, 5768, 921, 1191, 7741, 1603, 20222, 3590, 4736, 3411, 408, 26784, 921, 4736, 3411, 2426, 4239, 2499, 20222, 20855, 1524, 3354, 4241, 568, 921, 7238, 2587, 5253, 2638, 7658, 8412, 1191, 408, 47540, 7741, 1524, 3354, 4241, 460, 25418, 6614, 4485, 10971, 38005, 1984, 2183, 1843, 16570, 2738, 3716, 725, 7657, 3240, 4045, 3708, 2677, 10947, 7741, 3708, 2653, 1227, 7161, 3841, 39900, 2677, 29749, 18, 11703, 25418, 3708, 13349, 4945, 5768, 921, 1191, 7741, 3590, 4736, 3411, 408, 3878, 1438, 17718, 38005, 40550, 2822, 1822, 9760, 460, 39900, 1550, 40035, 568, 1438, 9555, 2657, 11219, 20222, 9255, 460, 17663, 13402, 408, 21649, 6960, 20222, 3240, 4045, 29677, 568, 204, 6878, 408, 4945, 921, 1926, 1490, 3354, 4241, 25418, 3708, 3362, 8706, 1262, 22876, 7657, 3240, 4045, 3708, 408, 23111, 11004, 6371, 5844, 23819, 8483, 568, 4945, 1367, 2678, 2183, 1843, 16570, 2738, 3716, 1227, 10853, 7741, 38005, 460, 16921, 2134, 22867, 2382, 408, 3354, 4241, 460, 44083, 6817, 4045, 5186, 1432, 2570, 2382, 1971, 568, 37229, 408, 3240, 4045, 18938, 2738, 2894, 22822, 7340, 2657, 16492, 6371, 18517, 460, 3276, 17096, 2738, 2894, 22822, 408, 1438, 2499, 11999, 20222, 3240, 4045, 1398, 408, 48360, 3841, 12577, 5057, 8221, 3796, 12515, 8085, 12776, 3796, 12515, 15208, 568, 10747, 408, 4945, 24159, 3865, 7657, 3240, 4045, 18938, 5718, 408, 3865, 2822, 6472, 4323, 2738, 2894, 34191, 460, 16570, 2738, 3716, 408, 20742, 11999, 3354, 4241, 22171, 20222, 460, 4323, 34191, 408, 11026, 7466, 8181, 2822, 5844, 2894, 19853, 4562, 13, 10159, 23215, 204, 5643, 39900, 35527, 12612, 12690, 28892, 1926, 3235, 408, 6271, 1191, 7741, 4736, 3411, 43387, 4413, 13573, 18744, 2807, 7238, 2587, 5253, 2638, 7658, 8412, 12612, 1822, 408, 2823, 7466, 2253, 12612, 31319, 11114, 408, 9536, 1191, 7741, 4736, 3411, 8412, 16257, 46347, 33243, 568, 8185, 5002, 10859, 408, 17280, 1191, 7741, 4736, 14942, 10853, 7741, 8412, 17793, 2498, 12924, 16742, 921, 14655, 4323, 7741, 8085, 1191, 7741, 460, 8706, 1262, 408, 24959, 6573, 7741, 6107, 1603, 9580, 19090, 39861, 568, 11448, 9768, 7821, 12261, 408, 20319, 40, 39903, 11485, 460, 26840, 408, 20215, 24701, 1822, 9760, 460, 38005, 1227, 27053, 25305, 12612, 4323, 408, 921, 1002, 7292, 460, 31783, 408, 1191, 7741, 4736, 3411, 8412, 2499, 22128, 13427, 31319, 11114, 25943, 568, 204, 921, 10853, 7741, 23819, 1191, 8706, 15727, 11463, 2587, 8412, 854, 9487, 25418, 8412, 568, 8185, 9487, 25418, 8412, 9487, 2499, 3354, 4241, 20222, 1227, 10853, 7741, 20222, 921, 25846, 31053, 1191, 20855, 23095, 408, 1438, 20215, 4296, 43387, 20222, 9255, 3928, 36666, 10344, 408, 4411, 2405, 33322, 3820, 38005, 2570, 4076, 568, 2065, 22146, 20182, 8412, 5890, 7360, 408, 4411, 2499, 25777, 1191, 7741, 6152, 1227, 6807, 12054, 9107, 2677, 4688, 60, 2653, 11530, 9107, 3708, 568, 204, 9487, 25418, 8412, 20230, 21577, 854, 1984, 7744, 28374, 725, 32170, 1971, 725, 4323, 4413, 13573, 408, 11026, 4265, 1191, 7741, 25418, 6326, 38005, 568, 6573, 21577, 20215, 7986, 8412, 6371, 12924, 921, 4323, 4413, 13573, 725, 5186, 18667, 2815, 25911, 460, 8706, 1262, 568, 21055, 15355, 408, 6462, 1822, 9760, 38005, 22204, 1189, 9487, 25418, 8412, 8706, 1262, 921, 22330, 4127, 19992, 1111, 12350, 2356, 3655, 568, 29167, 408, 25561, 6573, 1822, 9760, 38005, 22204, 408, 20215, 9487, 25418, 8412, 12165, 40520, 11808, 568, 204, 8185, 921, 9487, 25418, 8412, 1191, 4265, 1191, 7741, 6152, 30647, 408, 4241, 2386, 12599, 5548, 20222, 460, 21946, 2499, 9487, 26089, 1524, 10947, 7741, 3708, 1227, 4698, 2642, 25418, 3708, 2677, 4945, 20222, 9255, 33076, 24477, 4698, 2642, 25418, 3708, 13349, 4323, 34191, 460, 10947, 7741, 3708, 2499, 11999, 15733, 20222, 8221, 3944, 34191, 1227, 12599, 5548, 20222, 2405, 3274, 123, 3468, 568, 12994, 408, 8185, 10947, 7741, 3708, 6472, 12690, 22171, 19075, 11677, 1227, 41787, 6817, 4615, 408, 12599, 5548, 20222, 13006, 8221, 1811, 21982, 12319, 4769, 29432, 4045, 2366, 1524, 2780, 33322, 8360, 9107, 20222, 1390, 568, 204, 6429, 3354, 4241, 5253, 2638, 7658, 34261, 3708, 408, 4945, 46463, 1843, 16570, 2738, 3716, 1227, 10853, 7741, 14981, 9863, 9358, 26020, 16921, 2414, 3928, 408, 1970, 38343, 9014, 44083, 6817, 4045, 568, 6429, 1227, 10218, 14117, 23819, 4769, 21210, 460, 9163, 17576, 7741, 39876, 10853, 7741, 8706, 1262, 9184, 408, 28892, 460, 17576, 3796, 2499, 10379, 2183, 1843, 16570, 2738, 3716, 3928, 16921, 2134, 460, 13919, 408, 2823, 13406, 10379, 12319, 21103, 44083, 6817, 4045, 460, 17576, 3796, 568, 4945, 1345, 23042, 3429, 4411, 408, 48757, 45461, 31273, 2822, 44083, 6817, 4045, 460, 34984, 3716, 3928, 568, 21055, 15355, 408, 921, 16742, 25777, 17576, 7741, 460, 8706, 1262, 1191, 408, 2183, 1843, 16570, 2738, 3716, 460, 16921, 2134, 21002, 3796, 460, 408, 7466, 23156, 44083, 6817, 4045, 460, 34984, 15849, 39861, 568, 204, 921, 27905, 7594, 408, 8185, 7813, 8681, 11219, 4241, 2386, 34191, 1227, 6817, 4615, 408, 7452, 9487, 25418, 43387, 10853, 7741, 1458, 10853, 1843, 7965, 22244, 16742, 23156, 10774, 6650, 3820, 38005, 23247, 568, 204, 921, 3354, 4640, 29429, 8706, 1262, 1191, 408, 8185, 13630, 1227, 40897, 26326, 1345, 3944, 11736, 12198, 408, 9487, 25418, 8412, 14536, 3944, 3131, 2174, 568, 5643, 3064, 3354, 4640, 39552, 3131, 408, 4241, 2386, 12599, 5548, 20222, 21002, 34992, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2677, 35733, 3354, 4640, 3994, 2499, 6152, 4241, 2386, 12599, 5548, 20222, 10412, 6271, 408, 17622, 9487, 25418, 8412, 23832, 11530, 5277, 4241, 2386, 12599, 5548, 20222, 31952, 7059, 2657, 12869, 460, 568, 204, 14116, 408, 5768, 4805, 2587, 10853, 7741, 27053, 8412, 9302, 3571, 4127, 8706, 25253, 12391, 568, 6573, 14062, 26785, 13679, 7782, 1984, 3064, 4587, 1524, 3560, 9398, 4127, 15563, 725, 9580, 725, 48536, 725, 7340, 18543, 725, 9884, 23427, 725, 33124, 9163, 15916, 12145, 8706, 1262, 9674, 17062, 568, 8312, 12253, 2822, 13363, 460, 8706, 1262, 3601, 5768, 30933, 10853, 7741, 8412, 29726, 15489, 460, 10144, 10774, 46731, 568, 6878, 2657, 13636, 7360, 408, 17151, 6462, 10853, 7741, 38005, 35143, 6225, 2657, 4660, 8612, 12253, 10884, 3456, 1254, 9308, 2780, 4587, 30933, 10853, 7741, 4769, 408, 921, 12319, 8412, 26785, 9878, 408, 5299, 10961, 2657, 4660, 5523, 2894, 43786, 10378, 460, 26504, 1189, 2780, 10725, 12285, 3240, 30378, 568, 204, 921, 12319, 11082, 9878, 408, 2766, 1603, 6326, 3784, 7533, 2411, 48246, 408, 45541, 5216, 1367, 22413, 1971, 9898, 4587, 568, 8069, 6307, 9184, 408, 43290, 4587, 1191, 3865, 2822, 7474, 31319, 35887, 38005, 25485, 2657, 11219, 12319, 21103, 9580, 408, 7712, 28156, 2853, 408, 942, 8728, 921, 6462, 38005, 1390, 1689, 16294, 17754, 3380, 1789, 408, 15699, 12354, 1773, 28652, 18824, 14819, 22204, 4384, 568, 204, 28321, 27482, 17991, 854, 21946, 10822, 3708, 408, 4411, 2499, 1458, 10853, 1843, 9414, 25327, 1458, 10853, 21946, 2065, 17939, 5057, 2738, 7474, 1254, 21542, 9862, 40562, 1432, 31400, 460, 10774, 568, 8185, 1458, 10853, 20222, 8728, 1458, 10853, 1843, 7965, 3235, 921, 17388, 21946, 26684, 408, 40022, 9414, 5932, 18260, 40318, 27053, 4413, 13573, 8383, 17388, 17576, 3796, 408, 21946, 10822, 18938, 8418, 1970, 28560, 48956, 568, 2891, 25911, 460, 1458, 10853, 21946, 22944, 17939, 10774, 1398, 408, 3354, 4640, 46823, 22378, 3136, 20222, 408, 38228, 408, 4945, 25911, 460, 1458, 10853, 21946, 5253, 13733, 17939, 10774, 408, 3136, 20222, 12562, 46258, 9830, 4411, 2738, 25336, 460, 20222, 568, 204, 20062, 408, 3064, 4413, 13573, 39552, 14862, 408, 4945, 21103, 1458, 10853, 21946, 921, 17939, 10774, 12883, 7594, 408, 2499, 10379, 14655, 17156, 4769, 4413, 13573, 408, 2823, 13406, 11219, 14819, 22204, 18031, 408, 46670, 4769, 16192, 4525, 6960, 1458, 10853, 21946, 1550, 38517, 7292, 4838, 7512, 1262, 568, 1970, 7931, 5661, 17400, 408, 38005, 460, 1458, 10853, 21946, 5216, 25652, 17939, 10774, 460, 4323, 7594, 408, 14819, 22204, 4562, 1970, 45940, 568, 4945, 1345, 34381, 3675, 38005, 460, 1458, 10853, 21946, 41977, 921, 17939, 10774, 460, 4323, 7594, 408, 1970, 7965, 20189, 6371, 9884, 16262, 460, 21946, 10822, 3708, 1550, 9632, 1458, 10853, 21946, 8221, 17236, 1670, 17939, 1390, 1432, 12869, 460, 21946, 10774, 408, 7466, 408, 921, 4323, 1458, 10853, 21946, 2677, 20780, 4323, 4413, 13573, 2653, 2065, 1822, 9884, 16262, 17096, 21946, 10822, 3708, 9863, 9358, 2822, 14650, 1191, 568, 204, 17280, 1603, 2642, 460, 21946, 10822, 3708, 19511, 6371, 13489, 460, 23156, 26684, 4660, 1822, 4484, 17096, 21946, 10822, 408, 2336, 19769, 19751, 13006, 2657, 854, 21946, 921, 17754, 18492, 16517, 460, 15733, 20222, 408, 15289, 854, 21946, 921, 16517, 30409, 3476, 20222, 568, 921, 21210, 1638, 26464, 5556, 5621, 8128, 6770, 13, 2934, 23, 19, 1641, 14, 2860, 37316, 5605, 26464, 13489, 7741, 31282, 6462, 26464, 23819, 6770, 1926, 408, 20222, 6764, 14669, 5057, 2807, 4562, 460, 17576, 3796, 40318, 17280, 1603, 2642, 460, 21946, 10822, 18938, 9884, 16262, 2148, 15603, 568, 8069, 6307, 9184, 408, 2891, 25911, 3064, 4323, 25598, 29748, 4562, 2677, 13210, 1390, 8360, 2822, 12674, 41576, 5452, 2653, 27683, 1524, 12690, 5778, 29748, 4562, 2677, 13210, 21289, 2822, 9138, 42322, 33807, 1227, 8085, 20550, 27063, 2653, 1398, 408, 5778, 29748, 4562, 460, 23156, 10005, 1227, 4045, 2366, 32464, 2499, 10379, 20222, 6764, 14669, 5057, 2807, 4562, 460, 17576, 3796, 408, 34831, 408, 17280, 1603, 2642, 460, 21946, 10822, 3708, 20742, 2807, 13154, 5661, 1689, 2860, 4076, 1773, 10822, 1524, 1458, 10853, 21946, 3058, 4945, 13406, 10822, 35752, 43944, 408, 12562, 47292, 4769, 9190, 11219, 1458, 10853, 21946, 408, 21145, 9414, 21946, 22944, 17939, 21946, 10774, 460, 1926, 4907, 408, 12319, 23819, 20742, 3944, 20820, 1191, 5548, 568, 204, 6429, 25009, 27764, 8706, 1262, 9184, 408, 6764, 1740, 5062, 13, 37633, 14, 21946, 10822, 3708, 20195, 20903, 568, 6764, 1740, 5062, 21946, 10822, 3708, 9555, 2657, 3235, 921, 2675, 13489, 460, 23156, 26684, 408, 2778, 19511, 5778, 29748, 4562, 17576, 3796, 20076, 18517, 1773, 10822, 25258, 10853, 21946, 568, 11448, 408, 6472, 18824, 13489, 460, 23156, 10774, 460, 6764, 1740, 5062, 21946, 10822, 3708, 2807, 17280, 1603, 2642, 460, 21946, 10822, 3708, 1345, 24378, 6226, 11114, 6462, 408, 7466, 408, 921, 7744, 1227, 9760, 1390, 18824, 9358, 2822, 14650, 1191, 568, 4945, 9898, 8706, 1262, 25777, 48644, 25458, 408, 8465, 2822, 17280, 1603, 2642, 460, 21946, 10822, 3708, 8085, 2822, 3976, 39757, 23156, 10774, 460, 6764, 1740, 5062, 21946, 10822, 3708, 31567, 7678, 2766, 5368, 8550, 25943, 568, 204, 6429, 5186, 18667, 2815, 25911, 460, 8706, 1262, 408, 38005, 20496, 45246, 854, 4587, 1398, 1345, 11736, 12198, 460, 13679, 568, 8185, 10272, 10853, 7741, 8706, 1262, 7678, 921, 5186, 18667, 2815, 3560, 8437, 408, 24457, 11095, 2453, 1398, 2968, 5659, 10272, 12145, 10458, 3589, 9674, 568, 5216, 20665, 10458, 3589, 29613, 20813, 10513, 12690, 9760, 5659, 408, 2780, 7965, 8915, 2891, 10458, 3589, 20496, 2382, 1524, 7191, 13402, 8728, 408, 24457, 5186, 33903, 24938, 568, 8185, 10458, 3589, 20496, 12612, 2382, 408, 2891, 24457, 3235, 921, 1458, 10853, 9674, 8728, 408, 24457, 460, 31600, 20742, 12612, 16553, 568, 1189, 7533, 4740, 31441, 408, 10272, 20665, 10458, 3589, 29613, 3865, 31600, 5349, 1254, 6619, 2382, 24457, 22483, 12599, 9438, 568, 4411, 10880, 831, 22058, 2575, 12977, 1227, 17552, 17552, 7080, 5784, 32476, 2638, 18629, 1262, 1254, 8792, 24457, 568, 204, 33540, 12391, 4587, 18992, 7340, 4698, 3875, 8728, 408, 16192, 18830, 12198, 9898, 4587, 13406, 2499, 8706, 1262, 921, 15772, 10853, 7741, 8437, 568, 8069, 6307, 9184, 408, 2766, 25485, 4485, 1189, 9898, 6631, 4660, 28368, 17280, 27008, 28892, 460, 10853, 7741, 23819, 4769, 568, 34240, 4587, 2822, 10853, 7741, 23819, 21103, 17663, 13402, 408, 36666, 942, 3178, 20244, 854, 4239, 25779, 2822, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8706, 1262, 25365, 6878, 2657, 3500, 10272, 19293, 2114, 26790, 2677, 13210, 9163, 15916, 28892, 2653, 460, 10853, 7741, 23819, 4769, 568, 4945, 1262, 7986, 7371, 408, 2766, 38006, 1262, 31007, 15563, 3601, 10366, 2822, 1432, 15727, 10853, 7741, 23819, 4769, 408, 11026, 2657, 18287, 1670, 8376, 15563, 3601, 2370, 9135, 16742, 12253, 9216, 7624, 19864, 568, 204, 8069, 1377, 39252, 408, 2822, 10774, 921, 44083, 1524, 1003, 44, 14742, 460, 21946, 10822, 3708, 2657, 19147, 9198, 26464, 6770, 568, 4945, 3865, 10513, 35606, 725, 10513, 10427, 2677, 14407, 1603, 11338, 10427, 2653, 12883, 6658, 38005, 408, 2253, 24805, 8706, 1262, 5851, 25777, 16497, 12690, 25458, 1227, 30699, 408, 1438, 31567, 1456, 9145, 26785, 9580, 568, 34381, 1773, 3865, 3579, 1377, 38005, 25485, 2657, 11583, 16776, 4345, 22146, 6848, 460, 3558, 3632, 11026, 8481, 942, 16009, 9396, 568, 34831, 408, 9189, 5490, 37445, 3064, 4587, 1524, 3560, 15312, 15563, 568, 204, 19068, 1345, 12198, 921, 9898, 4587, 1191, 31273, 10853, 7741, 3784, 408, 2766, 13894, 4485, 46117, 18951, 1773, 12391, 2822, 7307, 10853, 7741, 42345, 8412, 568, 921, 13406, 12391, 4769, 8412, 2426, 408, 7965, 34010, 12198, 9898, 11095, 2453, 24486, 8706, 1262, 408, 11026, 1345, 34240, 9768, 37525, 4287, 8350, 408, 6462, 9138, 10853, 7741, 7340, 2499, 3944, 5659, 921, 9898, 3560, 1191, 7307, 568, 204, 10853, 7741, 5277, 46888, 13427, 4438, 17144, 2739, 28271, 9276, 6478, 408, 47402, 2822, 36666, 5137, 408, 2570, 942, 8483, 25827, 3965, 3601, 46888, 7371, 11104, 568, 204, 10853, 7741, 5277, 46888, 460, 24089, 854, 1984, 10853, 7741, 9107, 12744, 9057, 2949, 8010, 3354, 7386, 26829, 5944, 19595, 460, 13464, 8701, 408, 2678, 4615, 8010, 5784, 9352, 3854, 20064, 20706, 4228, 4656, 17145, 18, 4452, 45022, 9352, 3854, 20064, 45034, 408, 2678, 10090, 1030, 255, 460, 15812, 46888, 15011, 3944, 6969, 8936, 408, 13225, 9518, 39901, 3601, 46888, 30726, 568, 204, 12453, 22, 1984, 17548, 408, 14066, 16325, 408, 10853, 7741, 5277, 46888, 1367, 8681, 22960, 9352, 3854, 23458, 226, 43846, 408, 8936, 5584, 37737, 725, 11153, 46888, 15011, 408, 9276, 1946, 21102, 2148, 26200, 568, 204, 12453, 23, 1984, 5137, 408, 10853, 7741, 5277, 46888, 4769, 1367, 8792, 2949, 8010, 5784, 408, 9518, 5651, 5137, 5851, 17548, 460, 21102, 8483, 408, 2807, 22146, 4438, 17144, 2739, 28271, 9276, 32536, 28318, 568, 14464, 408, 9276, 1946, 4265, 17361, 2849, 408, 10914, 2657, 21732, 17361, 16392, 1531, 4299, 408, 6722, 25129, 22146, 9276, 1946, 2405, 7965, 460, 39196, 568, 204, 12453, 24, 1984, 3617, 10364, 408, 9276, 1946, 408, 2781, 1951, 19166, 9352, 3854, 23458, 10852, 37548, 8241, 9014, 408, 15812, 45353, 13604, 942, 16841, 568, 5017, 23804, 25, 3217, 27, 14881, 13620, 9518, 10513, 25190, 408, 19109, 21102, 27257, 568, 204, 10853, 7741, 22378, 3784, 6766, 2336, 7452, 460, 28892, 5890, 43724, 4323, 7741, 4769, 1227, 1822, 7741, 4769, 40334, 4044, 3058, 6606, 9855, 27125, 2386, 9862, 3589, 942, 14819, 1189, 2336, 38983, 408, 5851, 1432, 26508, 15856, 942, 4152, 4769, 1227, 3079, 4152, 4769, 40334, 4044, 3058, 3064, 9855, 27125, 2386, 28540, 23532, 42656, 16229, 1432, 26508, 15856, 5601, 2006, 27053, 42304, 2815, 725, 10435, 942, 3491, 4667, 8356, 2815, 1227, 10435, 26464, 4667, 8356, 2815, 29084, 4044, 3058, 6606, 7799, 4472, 9855, 27125, 5778, 20236, 7307, 21137, 408, 1432, 26508, 15856, 34868, 1458, 10853, 2815, 725, 14557, 7741, 2815, 1227, 48352, 4045, 2366, 2815, 29084, 4044, 568, 204, 22, 19896, 4323, 7741, 4769, 7931, 4477, 2336, 3235, 28892, 33494, 2188, 50, 14742, 408, 37721, 13423, 28892, 942, 1984, 11165, 48, 14742, 725, 18932, 48, 14742, 725, 2353, 19, 7525, 50, 14742, 1955, 408, 6573, 7741, 2615, 8706, 15727, 10853, 7741, 22378, 4769, 7931, 13391, 26692, 7764, 6770, 31158, 9163, 568, 2336, 9219, 12453, 854, 9855, 27125, 460, 9580, 26900, 725, 27125, 2386, 28540, 25598, 2359, 46870, 725, 16759, 15932, 3976, 8552, 2677, 3079, 4152, 5661, 408, 37721, 16759, 15932, 1189, 1003, 3912, 2653, 9855, 27125, 48536, 25689, 2677, 8494, 6213, 725, 3716, 6213, 725, 35040, 19185, 6213, 725, 12495, 6213, 17172, 16759, 2773, 3491, 12927, 2114, 1002, 3476, 1955, 568, 204, 23, 19896, 1822, 7741, 4769, 7931, 4477, 2336, 3235, 28892, 29228, 6386, 50, 14742, 408, 37721, 13423, 7741, 6107, 942, 1984, 30, 1909, 50, 14742, 725, 2500, 1719, 50, 14742, 725, 8667, 473, 50, 14742, 1955, 568, 1822, 7741, 4769, 921, 6573, 7741, 6107, 1390, 12693, 6050, 14818, 7764, 6770, 31158, 9163, 568, 1822, 7741, 21103, 9219, 12453, 854, 9855, 27125, 2338, 16759, 3708, 9580, 6764, 26200, 725, 27125, 2386, 28540, 25598, 2359, 24431, 725, 16759, 15932, 3976, 7292, 2677, 37704, 5523, 6377, 4228, 4515, 5523, 6377, 10412, 19293, 44463, 19495, 11618, 9760, 2174, 725, 48536, 7931, 1189, 8494, 6213, 725, 16759, 2773, 3491, 2338, 9855, 27125, 2773, 3491, 6764, 942, 47635, 12927, 2114, 568, 204, 24, 19896, 942, 4152, 9855, 27125, 2386, 3589, 942, 14819, 408, 7931, 6472, 3976, 7292, 460, 16759, 15932, 408, 17249, 33105, 854, 14819, 460, 18031, 7898, 2677, 24, 99, 1003, 1565, 34509, 3079, 4152, 9855, 27125, 2386, 3079, 14819, 408, 4411, 3190, 26761, 16759, 3708, 2677, 7799, 1670, 16167, 2653, 1458, 13934, 6226, 9107, 20222, 1946, 408, 2499, 6848, 6226, 9107, 23324, 47703, 44083, 2134, 3608, 3994, 3235, 408, 7931, 1432, 16492, 6722, 13833, 568, 16858, 942, 4152, 4769, 408, 3079, 4152, 4769, 921, 16759, 15932, 2338, 19293, 44463, 11618, 13587, 5949, 8481, 7898, 2366, 568, 204, 22, 19896, 27125, 13, 10833, 408, 5651, 10853, 7741, 8494, 14, 1984, 3571, 1107, 105, 1990, 34939, 2338, 24457, 13387, 408, 27125, 24477, 48773, 2773, 3491, 408, 8777, 1227, 10853, 7741, 2773, 3491, 2436, 3590, 23819, 568, 204, 23, 19896, 16759, 3708, 1984, 7799, 4472, 13, 921, 7799, 8356, 8494, 1191, 21649, 8356, 2739, 14, 27125, 39151, 5259, 568, 204, 24, 19896, 2773, 3491, 1984, 921, 27125, 1227, 7799, 4472, 3708, 2436, 26089, 10853, 7741, 20222, 568, 204, 13764, 4769, 2778, 4525, 16759, 18938, 14841, 33762, 2860, 14841, 25562, 31819, 2065, 26323, 22776, 13, 1390, 2894, 1843, 2453, 4769, 14, 6128, 3491, 408, 3590, 5778, 29748, 568, 204, 21103, 9219, 3235, 15159, 854, 1984, 16759, 3708, 4525, 1458, 10853, 2773, 3491, 3921, 7573, 7191, 28892, 460, 10853, 7741, 20222, 408, 2891, 10853, 7741, 8494, 9398, 1458, 10853, 2773, 3491, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3235, 12399, 1398, 9014, 42341, 24973, 408, 10853, 7741, 8494, 8181, 23324, 3944, 8626, 3227, 3058, 10853, 7741, 8494, 2499, 13353, 7939, 9019, 1955, 5452, 4525, 8494, 48773, 3921, 7573, 2773, 3491, 3921, 7573, 27007, 3058, 4769, 34261, 2773, 3491, 3190, 26761, 3064, 10853, 7741, 8494, 3921, 7573, 8398, 8360, 9107, 20222, 408, 2056, 2773, 3491, 20597, 3708, 3921, 43934, 16759, 3708, 408, 16759, 3708, 32099, 3827, 460, 20222, 3590, 3240, 4045, 1227, 3240, 9019, 11012, 43934, 1946, 3863, 2453, 4769, 3590, 6326, 6152, 3058, 2453, 4769, 6606, 28718, 3523, 6201, 21542, 4296, 8494, 460, 27279, 2114, 408, 12253, 12145, 27016, 21306, 26692, 6152, 1227, 7780, 408, 27834, 4477, 9960, 20222, 7780, 12023, 7436, 21826, 568, 204, 921, 1107, 105, 1990, 6478, 13, 2134, 3602, 18, 31690, 27064, 23819, 15159, 13, 35036, 61, 725, 16521, 61, 725, 43614, 27064, 3064, 10853, 7741, 8494, 1524, 16759, 18938, 5778, 27905, 7371, 13, 38671, 4045, 2366, 725, 5673, 3841, 10633, 10853, 725, 1822, 3183, 25719, 9107, 14, 5958, 28892, 10774, 24170, 408, 12145, 4438, 16081, 27905, 7371, 942, 19737, 460, 24627, 408, 3038, 22610, 16759, 3708, 921, 7340, 24089, 1390, 408, 5958, 31576, 12391, 19864, 41136, 1390, 33628, 35458, 408, 7462, 16759, 3708, 44365, 48928, 1189, 1822, 7741, 31819, 1227, 7780, 30647, 11152, 9219, 4698, 3875, 568, 1822, 7741, 31819, 17168, 3921, 7573, 3708, 1227, 34261, 3708, 408, 2336, 7340, 7782, 1984, 9014, 1822, 7741, 1458, 10853, 21946, 1254, 17359, 10853, 7741, 8494, 2823, 4660, 23324, 3058, 1603, 1458, 10853, 20222, 3590, 4045, 2366, 408, 8777, 2499, 5778, 3921, 7573, 4264, 10853, 7741, 8494, 3058, 34261, 2823, 3240, 4045, 13444, 10853, 7741, 8494, 12883, 7741, 20222, 568, 5890, 10853, 7741, 22378, 4769, 12883, 7741, 31819, 4587, 6472, 6462, 22074, 408, 2134, 3602, 1107, 105, 1990, 4769, 12883, 7741, 31819, 24089, 5776, 2278, 5776, 22, 2405, 4095, 568, 204, 10853, 7741, 22378, 21103, 7799, 8356, 15932, 11691, 2675, 10644, 460, 22440, 568, 2564, 15932, 10853, 7741, 22378, 21103, 7744, 2778, 2675, 11114, 408, 7466, 20294, 6960, 2336, 7799, 8356, 15932, 20244, 44544, 568, 6290, 10853, 7741, 8494, 7799, 8356, 15932, 460, 13679, 7782, 2773, 3491, 3235, 28892, 725, 16759, 18938, 12730, 22171, 21946, 725, 16759, 18938, 34261, 9884, 16262, 2148, 725, 10853, 7741, 8494, 460, 4413, 13573, 725, 2773, 3491, 2338, 25719, 16103, 27053, 460, 54, 5057, 725, 2773, 3491, 12927, 725, 16759, 3708, 1227, 10853, 7741, 8494, 460, 1107, 105, 1990, 2148, 408, 5958, 10853, 7741, 8494, 16785, 8181, 460, 23324, 2338, 3921, 7573, 39151, 23324, 1955, 568, 19759, 21103, 7799, 4472, 15932, 1227, 8356, 2739, 15932, 854, 12145, 408, 8356, 2739, 15932, 29165, 854, 7799, 4472, 15932, 460, 2169, 10, 18889, 2934, 12899, 204, 7452, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 8681, 12522, 21220, 16043, 34073, 3407, 725, 4276, 16043, 4472, 3407, 1955, 5661, 408, 12522, 12271, 5932, 408, 14947, 11932, 408, 12522, 30038, 408, 29889, 13201, 408, 16354, 8846, 4664, 16237, 408, 12522, 8824, 1843, 408, 6960, 19989, 44469, 568, 204, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 408, 22244, 2134, 3965, 2815, 3407, 2894, 27052, 20236, 3654, 2253, 8398, 408, 854, 2134, 3965, 28271, 14609, 7720, 408, 16118, 6722, 40078, 1902, 4772, 4084, 725, 18724, 29608, 725, 23267, 17233, 42456, 568, 204, 10853, 7741, 5651, 1822, 7741, 2134, 9107, 408, 3883, 9603, 1189, 12599, 9438, 460, 13956, 2642, 408, 17168, 12599, 2114, 725, 3965, 2114, 2338, 3602, 2114, 3283, 6848, 408, 24872, 19605, 28555, 16864, 13826, 18907, 19, 24057, 12730, 19, 204, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 4525, 10565, 4684, 2453, 2134, 5881, 2065, 41398, 8792, 5881, 9863, 1458, 10853, 2822, 31690, 2299, 408, 42341, 10565, 4684, 2453, 2134, 5881, 23992, 3883, 9603, 5057, 32464, 408, 2891, 25314, 4882, 9830, 6231, 3197, 107, 10794, 408, 3883, 9603, 5057, 8383, 11679, 408, 9855, 4698, 3875, 42341, 1524, 4296, 27052, 2615, 20222, 408, 408, 22171, 26692, 27052, 2359, 30166, 20222, 568, 204, 6606, 12145, 8706, 1262, 1505, 4846, 408, 43724, 6770, 3622, 725, 2494, 8360, 3622, 2338, 20281, 3622, 32613, 3058, 204, 6606, 12145, 10166, 6478, 2338, 36873, 6478, 408, 43724, 16902, 2815, 11220, 2419, 3622, 725, 22800, 2815, 11220, 2419, 3622, 2338, 1789, 2006, 2815, 1955, 568, 204, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 9813, 15916, 10001, 2338, 28216, 1254, 11572, 5890, 1505, 4846, 460, 8706, 1262, 1984, 204, 22, 2653, 7931, 14451, 1505, 4846, 8706, 1262, 408, 1432, 5768, 6770, 3622, 12730, 24, 2051, 10001, 408, 9195, 11436, 1511, 3520, 408, 9195, 20281, 19620, 45022, 2278, 16761, 13863, 725, 16761, 10398, 725, 9098, 14648, 16761, 725, 14648, 9098, 725, 1999, 9098, 725, 38042, 725, 32476, 22764, 725, 18157, 14198, 725, 29619, 9098, 725, 11859, 9098, 1955, 3058, 204, 23, 2653, 1822, 11648, 38671, 1505, 4846, 8706, 1262, 408, 1432, 5768, 2494, 8360, 3622, 12730, 2177, 473, 10001, 408, 9195, 11436, 1511, 3520, 408, 9195, 20281, 19620, 45022, 9438, 11648, 38671, 4144, 26, 1511, 51, 82, 11, 3276, 51, 82, 2860, 2169, 80, 51, 408, 2278, 3854, 14648, 725, 11859, 6633, 725, 8410, 9098, 725, 18583, 9098, 2338, 18244, 1822, 26326, 8767, 3407, 1227, 9098, 3407, 1955, 3058, 204, 24, 2653, 20281, 38098, 8706, 1262, 408, 1432, 5768, 20281, 3622, 12730, 3268, 473, 10001, 408, 9195, 20281, 4144, 16, 4589, 45022, 2278, 23510, 6638, 460, 10269, 105, 8188, 1843, 16761, 13863, 725, 2134, 6638, 460, 5368, 14648, 3708, 16761, 13863, 725, 30944, 6638, 1822, 16276, 16761, 725, 14648, 21544, 20281, 14648, 9098, 725, 15414, 1971, 6638, 15414, 9098, 3058, 204, 25, 2653, 19147, 20635, 38098, 1505, 4846, 408, 4660, 8612, 40408, 12554, 3608, 5768, 1984, 2183, 2857, 3622, 1257, 408, 11613, 13172, 3622, 73, 408, 4129, 2857, 3622, 285, 3058, 204, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 8706, 1262, 13191, 408, 18026, 19147, 22610, 37685, 3407, 2894, 19769, 568, 2278, 14648, 16043, 3407, 2894, 27052, 725, 27198, 14648, 27052, 725, 27305, 3407, 13863, 725, 6796, 14648, 13863, 725, 5368, 14648, 3708, 16761, 13863, 725, 10269, 105, 8188, 1843, 16761, 13863, 725, 1822, 16276, 16761, 725, 1822, 16276, 11859, 23263, 725, 15414, 20660, 725, 15414, 14648, 725, 15414, 9098, 725, 32942, 20064, 725, 32942, 29908, 725, 32942, 32476, 725, 11611, 38042, 725, 23510, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 33594, 725, 3489, 9826, 31309, 725, 47502, 725, 11932, 35217, 1955, 44365, 8706, 1262, 568, 204, 7931, 58, 13361, 10853, 7741, 3883, 9603, 3407, 2894, 27052, 408, 3833, 16785, 19769, 24089, 460, 18639, 408, 2336, 3656, 3622, 1398, 40020, 12191, 21131, 1984, 204, 22, 2653, 7813, 19147, 7169, 2134, 2968, 2642, 9216, 41787, 25314, 408, 7931, 11516, 41, 48, 17823, 22, 19, 26, 408, 10732, 22944, 22, 19, 26, 408, 3035, 7530, 1490, 12907, 32, 204, 23, 2653, 7813, 8706, 8777, 25314, 9620, 13443, 35353, 1505, 4846, 408, 11516, 10166, 1398, 10268, 2110, 25314, 9620, 13443, 3058, 204, 24, 2653, 7813, 19769, 11020, 6213, 2654, 3058, 204, 25, 2653, 6606, 12145, 25314, 26326, 408, 5768, 12145, 36873, 6478, 2338, 8792, 6478, 3058, 204, 26, 2653, 7965, 4660, 31186, 1505, 4846, 5452, 408, 7782, 40408, 17483, 725, 11338, 725, 11436, 725, 3407, 16043, 20496, 8412, 1955, 6949, 408, 29140, 5768, 30933, 28216, 568, 204, 23, 2653, 19888, 26785, 18724, 29608, 3784, 408, 8681, 12522, 38784, 725, 13769, 13004, 15865, 3407, 49077, 37187, 3058, 204, 24, 2653, 24068, 24241, 6003, 5645, 408, 11583, 11613, 8807, 38784, 9398, 408, 19147, 30533, 10166, 3058, 204, 25, 2653, 7657, 3622, 1902, 4772, 4084, 725, 1902, 29306, 3784, 3058, 204, 27, 2653, 3049, 4795, 35166, 38983, 22806, 41485, 408, 12749, 44083, 38983, 9190, 42689, 3058, 3699, 1047, 24179, 42847, 20, 15223, 226, 9025, 25361, 7838, 17374, 22171, 3058, 204, 28, 2653, 1902, 4241, 39075, 40050, 408, 1432, 10222, 10565, 4852, 1398, 9414, 2134, 3965, 5057, 408, 35606, 27016, 27052, 2615, 3058, 38019, 20222, 22171, 12682, 2338, 1902, 29306, 5452, 3058, 204, 29, 2653, 9195, 31683, 4144, 18, 2169, 17145, 3058, 9195, 20281, 4144, 4589, 17145, 3058, 9195, 24066, 4144, 2500, 3520, 3058, 20281, 40408, 3622, 1432, 9195, 4837, 25, 2985, 17145, 3058, 204, 4664, 12730, 1701, 14687, 6049, 2774, 2402, 7452, 7413, 6770, 408, 7764, 1390, 29897, 16792, 40735, 568, 25612, 2132, 31963, 52, 568, 8706, 1262, 35092, 7360, 25612, 2300, 40079, 1227, 25612, 32037, 7723, 408, 44589, 6770, 2402, 3571, 24849, 21817, 725, 10853, 7741, 21946, 1227, 20222, 31819, 725, 7961, 5407, 46865, 5673, 39634, 5958, 27905, 6278, 2093, 5335, 6848, 13387, 568, 204, 11698, 5890, 2411, 6478, 408, 10853, 7741, 8494, 942, 10971, 41687, 19859, 1984, 204, 22, 19896, 6395, 38983, 6478, 15856, 942, 4152, 8494, 1227, 3079, 4152, 8494, 568, 942, 4152, 21252, 8494, 2386, 942, 14819, 4660, 21834, 408, 2336, 8418, 15932, 3976, 7292, 408, 3038, 18031, 7898, 725, 32534, 24431, 725, 9580, 1822, 408, 5017, 1002, 12924, 921, 16233, 27657, 44721, 3235, 3058, 3079, 4152, 8494, 2386, 3079, 14819, 408, 4411, 9092, 9107, 12875, 38983, 3784, 2499, 34261, 22401, 10853, 7741, 23324, 47703, 44083, 21834, 1189, 8494, 2386, 27053, 38983, 408, 2336, 8418, 15932, 14655, 942, 4152, 8494, 8552, 408, 3038, 18031, 2564, 5017, 1603, 3235, 5932, 5659, 42237, 568, 204, 23, 19896, 6395, 8360, 9107, 28892, 15856, 4323, 7741, 10853, 7741, 8494, 725, 1191, 7741, 10853, 7741, 8494, 1227, 1822, 7741, 10853, 7741, 8494, 568, 4323, 7741, 10853, 7741, 8494, 39772, 11165, 80, 14742, 1227, 30303, 19, 23, 80, 14742, 20182, 408, 1191, 7741, 10853, 7741, 8494, 28892, 5757, 1189, 2353, 19, 7525, 50, 14742, 408, 1822, 7741, 10853, 7741, 8494, 5757, 1189, 25, 3268, 50, 14742, 725, 30, 1909, 50, 14742, 725, 23, 19, 2985, 44, 14742, 725, 26, 19, 29, 44, 14742, 1955, 568, 4323, 7741, 4769, 41907, 8552, 15932, 725, 4323, 9580, 460, 8706, 1262, 1191, 408, 2278, 31386, 460, 3655, 13739, 7780, 725, 24358, 8494, 725, 22118, 15912, 725, 31940, 33736, 1955, 568, 1191, 7741, 4769, 8777, 3655, 13739, 7780, 1227, 3035, 3921, 7573, 17087, 41504, 8706, 1262, 4769, 3058, 1822, 7741, 4769, 8706, 8777, 4485, 3976, 24249, 7799, 8356, 15932, 1227, 1822, 7799, 8356, 13587, 460, 38098, 408, 2336, 2773, 3491, 9107, 12875, 12927, 3976, 39757, 5017, 7744, 26200, 408, 921, 46081, 21283, 725, 45838, 25232, 1955, 45461, 8706, 1262, 568, 204, 24, 19896, 6395, 4045, 2366, 6478, 39649, 43724, 18724, 2815, 1227, 3944, 1871, 2815, 568, 18724, 2815, 10853, 7741, 8494, 1262, 29159, 10853, 7741, 23324, 18724, 1773, 3921, 7573, 5778, 4264, 7799, 8356, 3708, 3058, 3944, 1871, 2815, 10853, 7741, 8494, 3865, 4045, 2366, 10633, 10853, 6478, 1458, 10853, 5778, 408, 4411, 7965, 9092, 7799, 8356, 18938, 8360, 9107, 1550, 4045, 2366, 7413, 20222, 408, 4296, 4044, 3784, 12924, 1262, 921, 3655, 13739, 2860, 11559, 8706, 1262, 1191, 408, 5643, 7799, 8356, 3708, 2657, 11999, 3879, 8626, 3227, 7191, 10774, 2356, 15944, 10853, 7741, 8494, 568, 921, 942, 29519, 2654, 20076, 408, 1262, 4045, 2366, 10633, 10853, 6478, 408, 7799, 8356, 18938, 23324, 7965, 1550, 3601, 12744, 1811, 29519, 2654, 36777, 568, 2253, 18724, 6478, 460, 10853, 7741, 8494, 1458, 10853, 460, 20222, 6055, 12744, 1811, 29519, 2654, 11329, 408, 7466, 18724, 6478, 18896, 10853, 7741, 8494, 41907, 942, 29519, 17891, 8706, 1262, 1191, 408, 15932, 2498, 7292, 13, 37704, 2188, 6377, 23215, 204, 25, 19896, 6395, 8418, 15932, 43724, 6730, 1107, 105, 1990, 8494, 13, 8418, 15932, 33494, 22, 43176, 27064, 4838, 1107, 105, 1990, 8494, 13, 8418, 15932, 33494, 1909, 43176, 27064, 25708, 1107, 105, 1990, 8494, 13, 8418, 15932, 5727, 22, 6377, 14, 1227, 7292, 15932, 8494, 13, 8418, 15932, 3064, 22, 6377, 1524, 1003, 6377, 408, 10961, 2498, 7292, 23215, 204, 26, 19896, 6395, 24457, 15856, 3879, 7799, 8494, 725, 7799, 8356, 8494, 1227, 22990, 8494, 568, 204, 10853, 7741, 22378, 408, 12730, 1701, 2677, 28555, 16864, 45776, 2653, 3784, 408, 5851, 6076, 26464, 10853, 7741, 22378, 408, 13427, 23819, 3784, 408, 1432, 4525, 26464, 2134, 10231, 5485, 22378, 31183, 10211, 2823, 7799, 8356, 6326, 5778, 408, 2253, 28081, 22378, 4769, 2065, 31183, 10211, 9863, 10366, 11648, 2860, 4402, 1674, 16081, 568, 0, 647, 1875, 204, 647, 11444, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 14076, 17, 783, 17, 1535, 204, 531, 37228, 532, 31709, 204, 204, 531, 309, 4434, 68, 15083, 68, 481, 806, 809, 532, 906, 1655, 204, 531, 309, 4434, 68, 15083, 68, 481, 806, 15083, 68, 19421, 532, 906, 37618, 17560, 204, 531, 309, 4434, 68, 15083, 68, 481, 19, 1618, 19, 15083, 68, 6008, 68, 932, 532, 30418, 9240, 2191, 204, 531, 309, 4434, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 15083, 68, 481, 19, 2182, 68, 932, 532, 9954, 2191, 204, 531, 309, 4434, 68, 15083, 68, 481, 19, 2182, 68, 2387, 68, 932, 532, 9954, 8334, 2191, 204, 204, 204, 676, 21023, 46, 54, 70, 37618, 17560, 9705, 37618, 17560, 330, 204, 264, 320, 204, 264, 332, 14686, 348, 21023, 382, 28823, 11305, 424, 19, 204, 264, 320, 204, 204, 264, 436, 3204, 68, 15083, 68, 2393, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 932, 31, 9954, 2191, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 930, 2251, 31, 1135, 17, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 35384, 273, 11305, 1672, 1025, 273, 4651, 302, 1094, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 11305, 1672, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1672, 1769, 510, 832, 204, 268, 1672, 68, 2185, 68, 553, 68, 546, 289, 370, 806, 505, 68, 2393, 68, 2185, 68, 553, 68, 546, 13, 2182, 68, 932, 14, 204, 204, 268, 810, 31, 204, 305, 314, 1606, 275, 1672, 1769, 510, 204, 305, 830, 68, 2185, 289, 370, 806, 976, 68, 2185, 68, 553, 13, 2393, 68, 2185, 68, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 314, 828, 275, 510, 1583, 508, 1337, 17, 1900, 273, 458, 302, 443, 1019, 204, 305, 830, 68, 2185, 289, 370, 806, 4776, 68, 10953, 374, 204, 204, 268, 314, 763, 275, 1672, 2084, 49, 510, 832, 204, 268, 1672, 68, 47537, 68, 553, 68, 546, 289, 370, 806, 505, 68, 2393, 68, 47537, 68, 553, 68, 546, 13, 204, 305, 1485, 68, 932, 17, 9954, 8334, 2191, 19, 29500, 204, 268, 1179, 204, 204, 268, 314, 1861, 1048, 275, 4645, 329, 1769, 204, 268, 348, 1672, 17, 1800, 292, 4337, 13, 204, 305, 370, 806, 976, 68, 47537, 68, 553, 13, 2393, 68, 47537, 68, 553, 68, 546, 659, 830, 68, 2185, 204, 268, 16330, 204, 305, 314, 763, 275, 1672, 1222, 329, 11305, 1672, 9740, 204, 305, 1672, 68, 359, 289, 1672, 1166, 359, 1339, 204, 305, 11305, 68, 2393, 68, 6670, 289, 370, 806, 505, 68, 15083, 68, 2393, 68, 6670, 13, 2182, 68, 6670, 17, 1672, 68, 359, 14, 204, 204, 305, 314, 7000, 275, 11305, 2717, 1187, 204, 305, 4353, 30418, 9240, 2191, 19, 11786, 68, 4352, 13, 204, 485, 17800, 68, 772, 34, 327, 806, 6670, 68, 772, 17, 11305, 68, 2393, 68, 6670, 34, 15083, 68, 2393, 68, 6670, 204, 305, 1179, 204, 204, 305, 314, 7000, 275, 1672, 3773, 2085, 204, 305, 4353, 497, 370, 806, 25382, 68, 2393, 68, 26739, 68, 3348, 13, 204, 485, 1485, 68, 6670, 34, 2182, 68, 6670, 17, 204, 485, 1672, 68, 359, 34, 2393, 68, 359, 17, 204, 485, 7345, 34, 3170, 17, 204, 485, 2085, 34, 3170, 17, 204, 485, 1706, 68, 4352, 34, 327, 806, 505, 68, 4381, 68, 4352, 13, 15083, 68, 2393, 68, 6670, 17, 1800, 659, 204, 305, 1179, 204, 204, 305, 314, 7000, 275, 5210, 1094, 204, 305, 4353, 497, 370, 806, 25382, 68, 11692, 68, 1618, 13, 204, 485, 1485, 68, 6670, 34, 2182, 68, 6670, 17, 204, 485, 1672, 68, 359, 34, 2393, 68, 359, 17, 204, 485, 11305, 68, 2393, 68, 6670, 34, 15083, 68, 2393, 68, 6670, 17, 204, 485, 5210, 34, 2393, 1166, 11692, 2869, 204, 485, 5169, 3644, 2393, 1166, 2880, 22, 2869, 1672, 1166, 2880, 23, 15100, 204, 305, 1179, 204, 204, 264, 436, 906, 976, 68, 2185, 68, 553, 13, 327, 17, 510, 68, 546, 31, 2621, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 4143, 273, 1769, 510, 329, 2584, 273, 458, 302, 1769, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 1769, 510, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 332, 458, 302, 1769, 19, 204, 268, 320, 204, 268, 314, 1606, 275, 1769, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 388, 87, 431, 448, 1769, 68, 553, 31, 204, 305, 407, 551, 1054, 19, 2892, 374, 348, 1007, 292, 1769, 68, 553, 19, 9872, 6485, 204, 204, 264, 436, 906, 505, 68, 4381, 68, 4352, 13, 327, 17, 11305, 68, 2393, 68, 6670, 31, 31709, 17, 1800, 31, 394, 14, 393, 1535, 64, 12450, 7670, 744, 204, 268, 320, 204, 268, 3596, 275, 1706, 3508, 9740, 348, 273, 11305, 1672, 19, 204, 204, 268, 457, 31, 204, 305, 11305, 68, 2393, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 11305, 1672, 19, 204, 305, 1800, 322, 325, 330, 334, 1800, 302, 275, 1706, 3508, 19, 204, 204, 268, 475, 31, 204, 305, 1535, 64, 12450, 7670, 744, 334, 9740, 302, 275, 1706, 3508, 17, 521, 443, 397, 275, 1800, 353, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1800, 353, 508, 443, 204, 268, 397, 1800, 353, 508, 443, 31, 204, 305, 314, 455, 275, 1706, 3508, 9740, 204, 305, 407, 31709, 13, 75, 1954, 15083, 68, 2393, 68, 6670, 2829, 4381, 68, 4352, 14509, 339, 13, 1676, 14, 465, 368, 743, 204, 268, 314, 455, 443, 397, 275, 1800, 353, 443, 204, 268, 407, 443, 204, 204, 264, 436, 906, 505, 68, 2393, 68, 2185, 68, 553, 68, 546, 13, 327, 17, 1485, 68, 932, 31, 9954, 2191, 14, 393, 2621, 31, 204, 268, 320, 204, 268, 3596, 275, 1672, 1769, 510, 832, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 204, 268, 475, 31, 204, 305, 2621, 31, 334, 1672, 1769, 510, 832, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1672, 1769, 510, 832, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 1879, 204, 204, 264, 436, 906, 505, 68, 2393, 68, 47537, 68, 553, 68, 546, 13, 204, 268, 370, 17, 1485, 68, 932, 31, 9954, 2191, 17, 1485, 68, 2387, 68, 932, 31, 9954, 8334, 2191, 204, 264, 1179, 393, 2621, 31, 204, 268, 320, 204, 268, 3596, 275, 1672, 2084, 49, 510, 832, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 932, 322, 5030, 2191, 330, 334, 1187, 302, 275, 1485, 19, 204, 305, 1485, 68, 2387, 68, 932, 322, 5030, 8334, 2191, 330, 334, 1666, 1187, 302, 275, 1485, 19, 204, 204, 268, 475, 31, 204, 305, 2621, 31, 334, 1672, 2084, 49, 510, 832, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1672, 2084, 49, 510, 832, 204, 268, 1879, 204, 204, 264, 436, 906, 505, 68, 15083, 68, 2393, 68, 6670, 13, 327, 17, 1485, 68, 6670, 31, 31709, 17, 1672, 68, 359, 31, 394, 14, 393, 31709, 31, 204, 268, 320, 204, 268, 3596, 275, 11305, 1672, 9740, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 204, 268, 475, 31, 204, 305, 31709, 31, 334, 11305, 1672, 9740, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 11305, 1672, 9740, 204, 268, 1879, 204, 204, 264, 436, 906, 25382, 68, 2393, 68, 26739, 68, 3348, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 1672, 68, 359, 31, 394, 17, 204, 268, 7345, 31, 443, 17, 204, 268, 2085, 31, 443, 17, 204, 268, 1706, 68, 4352, 31, 1535, 64, 12450, 7670, 648, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 9112, 275, 1672, 3773, 2085, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 305, 7345, 322, 3170, 330, 334, 7345, 19, 204, 305, 2085, 322, 3170, 330, 334, 2085, 19, 204, 305, 1706, 68, 4352, 322, 4437, 64, 12450, 7670, 1037, 334, 1706, 3508, 9740, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 1672, 3773, 2085, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 4353, 275, 1672, 3773, 2085, 204, 268, 1879, 204, 204, 264, 436, 906, 25382, 68, 11692, 68, 1618, 13, 204, 268, 370, 17, 204, 268, 1485, 68, 6670, 31, 31709, 17, 204, 268, 1672, 68, 359, 31, 394, 17, 204, 268, 11305, 68, 2393, 68, 6670, 31, 31709, 17, 204, 268, 5210, 31, 394, 17, 204, 268, 5169, 31, 927, 17, 204, 264, 1179, 393, 14076, 64, 68, 1655, 17, 443, 17, 443, 744, 204, 268, 320, 204, 268, 9112, 275, 5210, 1094, 19, 204, 204, 268, 457, 31, 204, 305, 1485, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 1485, 19, 204, 305, 1672, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 1672, 19, 204, 305, 11305, 68, 2393, 68, 6670, 322, 12450, 7670, 330, 334, 9740, 302, 275, 11305, 1672, 19, 204, 305, 5210, 322, 325, 330, 334, 5210, 19, 204, 305, 5169, 322, 2644, 330, 334, 5169, 19, 204, 204, 268, 9112, 31, 204, 305, 906, 1655, 31, 332, 570, 2457, 275, 5210, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 4353, 275, 5210, 1094, 204, 268, 1879, 204, 204, 264, 436, 906, 4776, 68, 10953, 13, 327, 14, 393, 783, 64, 3170, 744, 204, 268, 320, 204, 268, 6071, 273, 458, 302, 443, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 3170, 744, 332, 458, 302, 443, 1019, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 1900, 273, 458, 302, 443, 1019, 204, 268, 1879, 204, 204, 264, 436, 906, 976, 68, 47537, 68, 553, 13, 327, 17, 510, 68, 546, 31, 2621, 14, 393, 783, 64, 873, 744, 204, 268, 320, 204, 268, 4143, 273, 2084, 49, 510, 329, 2584, 273, 458, 302, 5239, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 4203, 330, 334, 832, 311, 275, 2084, 49, 510, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 873, 744, 332, 458, 302, 5239, 19, 204, 268, 320, 204, 268, 314, 1606, 275, 2084, 49, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 388, 87, 431, 448, 1875, 81, 68, 553, 31, 204, 305, 407, 551, 1775, 19, 5569, 13, 1054, 14, 348, 1007, 292, 1875, 81, 68, 553, 19, 9872, 6485, 204, 0, 647, 20210, 204, 531, 1907, 19, 4120, 532, 2557, 204, 531, 3022, 68, 7522, 532, 5888, 17, 2805, 204, 531, 2617, 1618, 532, 2221, 204, 204, 676, 17588, 17471, 13, 22168, 19, 3295, 17471, 330, 204, 264, 320, 204, 264, 5336, 17588, 5888, 850, 19, 204, 204, 264, 1058, 850, 9713, 17588, 5888, 348, 7348, 2164, 19, 204, 264, 1547, 5377, 348, 275, 9920, 302, 273, 1097, 17588, 1948, 292, 275, 379, 18963, 12, 3494, 17, 204, 264, 355, 7676, 275, 1948, 17, 329, 3887, 675, 275, 575, 19, 204, 264, 320, 204, 204, 264, 1948, 68, 4830, 289, 379, 7545, 12, 204, 204, 264, 436, 11368, 13, 327, 17, 824, 31, 726, 14, 393, 927, 1152, 443, 31, 204, 268, 320, 204, 268, 16699, 275, 824, 329, 407, 275, 575, 329, 1948, 397, 5888, 353, 2707, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 927, 1152, 443, 31, 332, 927, 1174, 275, 575, 329, 1948, 397, 5888, 353, 2707, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 977, 275, 575, 311, 443, 204, 268, 824, 19, 816, 289, 443, 204, 204, 268, 314, 763, 275, 5888, 3494, 497, 275, 824, 204, 268, 5121, 68, 4603, 289, 370, 806, 505, 68, 3340, 68, 4603, 13, 1443, 14, 204, 268, 397, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 508, 5121, 68, 4603, 31, 204, 305, 314, 828, 1236, 5888, 3494, 353, 1193, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 2735, 275, 5888, 3494, 1025, 4016, 329, 1948, 204, 268, 4016, 17, 1948, 289, 370, 806, 1703, 68, 3340, 68, 4603, 13, 3340, 68, 4603, 14, 204, 268, 397, 508, 370, 806, 360, 68, 1018, 68, 4830, 13, 4830, 330, 204, 305, 314, 828, 275, 4016, 353, 508, 1097, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 16699, 275, 4997, 204, 268, 407, 370, 806, 22909, 68, 7272, 13, 1443, 17, 1948, 14, 204, 204, 264, 436, 906, 505, 68, 3340, 68, 4603, 13, 327, 17, 824, 31, 726, 14, 393, 458, 1152, 443, 31, 204, 268, 320, 204, 268, 763, 275, 5888, 3494, 497, 275, 824, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 458, 1152, 443, 31, 334, 5888, 3494, 448, 273, 458, 302, 3157, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 204, 268, 314, 763, 275, 379, 18963, 12, 3494, 497, 275, 824, 204, 268, 5121, 68, 4603, 289, 5888, 19, 505, 68, 24525, 68, 4603, 13, 1443, 14, 204, 268, 397, 508, 5121, 68, 4603, 31, 204, 305, 314, 828, 1236, 379, 18963, 12, 3494, 353, 1193, 17, 407, 443, 204, 305, 407, 443, 204, 204, 268, 314, 3736, 275, 379, 18963, 12, 3494, 1025, 273, 458, 302, 3157, 204, 268, 407, 5121, 68, 4603, 19, 1590, 374, 204, 204, 264, 436, 906, 1703, 68, 3340, 68, 4603, 13, 327, 17, 5121, 68, 4603, 31, 458, 14, 393, 927, 31, 204, 268, 320, 204, 268, 2735, 275, 5888, 3494, 1025, 4016, 329, 1948, 19, 204, 204, 268, 457, 31, 204, 305, 5121, 68, 4603, 322, 655, 330, 334, 5888, 3494, 448, 273, 458, 302, 3157, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 4016, 329, 1948, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 5888, 3494, 869, 6488, 970, 3576, 204, 268, 397, 1245, 13, 3340, 68, 4603, 14, 2167, 435, 31, 204, 305, 314, 828, 508, 17, 407, 443, 348, 1855, 4016, 329, 1948, 204, 305, 407, 443, 17, 443, 204, 204, 268, 314, 12210, 275, 4016, 329, 1948, 497, 3154, 311, 3157, 204, 268, 4016, 289, 5121, 68, 4603, 64, 21, 1664, 5286, 611, 3102, 18, 29, 534, 204, 268, 1948, 289, 5121, 68, 4603, 64, 22, 1664, 5286, 611, 3102, 18, 29, 534, 204, 268, 407, 4016, 17, 1948, 204, 204, 264, 436, 906, 360, 68, 1018, 68, 4830, 13, 327, 17, 4016, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 4016, 353, 1097, 19, 204, 204, 268, 457, 31, 204, 305, 4016, 322, 325, 330, 334, 4016, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 4016, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 4016, 4083, 275, 1812, 1948, 4016, 322, 2059, 18, 20586, 14, 204, 268, 407, 4016, 19, 3006, 374, 564, 370, 19, 2119, 68, 4830, 19, 3006, 374, 204, 204, 264, 436, 906, 22909, 68, 7272, 13, 327, 17, 824, 31, 726, 17, 1948, 31, 394, 14, 393, 927, 31, 204, 268, 320, 204, 268, 6608, 311, 11368, 275, 800, 4997, 19, 828, 5888, 353, 2707, 17, 407, 275, 575, 329, 1948, 19, 204, 204, 268, 457, 31, 204, 305, 824, 322, 1386, 330, 334, 7348, 824, 726, 19, 204, 305, 1948, 322, 325, 330, 334, 17588, 1948, 311, 11368, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 575, 329, 1948, 397, 5888, 353, 2707, 19, 204, 204, 268, 1632, 31, 204, 305, 2805, 19, 17471, 3504, 31, 828, 5888, 4737, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 12210, 275, 17588, 1948, 974, 275, 4583, 896, 204, 305, 5735, 289, 20210, 19, 5286, 13, 2119, 17, 2557, 19, 9187, 68, 4617, 17, 11619, 4980, 14663, 6372, 2378, 204, 268, 827, 20210, 19, 46930, 26362, 596, 31, 204, 305, 314, 828, 275, 1948, 869, 18498, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 7545, 869, 18498, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 268, 827, 20210, 19, 1962, 7545, 596, 31, 204, 305, 314, 828, 275, 1948, 353, 2872, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 1962, 5888, 19, 29122, 508, 10318, 1948, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 810, 31, 204, 305, 314, 763, 275, 575, 497, 275, 1104, 974, 275, 575, 1222, 497, 275, 5735, 204, 305, 575, 289, 2221, 19, 2856, 19, 505, 13, 5331, 34, 8101, 736, 359, 2378, 204, 268, 827, 2221, 19, 9775, 31, 204, 305, 314, 828, 275, 575, 1583, 508, 1337, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 3882, 575, 7535, 808, 1948, 867, 1193, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 314, 778, 397, 275, 575, 353, 4884, 204, 268, 397, 508, 575, 19, 360, 68, 4187, 31, 204, 305, 314, 828, 275, 575, 353, 508, 4884, 17, 980, 437, 20696, 3504, 2710, 204, 305, 5530, 289, 379, 1834, 575, 869, 1742, 355, 29858, 10655, 204, 305, 980, 2805, 19, 17471, 3504, 13, 5000, 14, 204, 204, 268, 314, 455, 275, 575, 329, 1948, 397, 5888, 353, 2707, 204, 268, 407, 575, 17, 1948, 204, 0, 23513, 5805, 717, 2589, 2344, 204, 13936, 19823, 2152, 560, 1692, 204, 7637, 4056, 24704, 45464, 21506, 322, 57, 4175, 14, 4683, 529, 10597, 8077, 560, 3490, 440, 275, 24704, 31187, 496, 722, 497, 6053, 427, 32672, 521, 43194, 19, 592, 1605, 7155, 13546, 17, 275, 4683, 302, 275, 24704, 25810, 313, 24, 329, 17, 6469, 17, 313, 25, 529, 4440, 2223, 521, 4440, 3264, 19, 9404, 44129, 4042, 618, 4767, 275, 5627, 302, 24704, 25810, 17, 329, 508, 1910, 302, 1475, 529, 8578, 2323, 19, 204, 4167, 16620, 45464, 21506, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 11155, 884, 89, 7758, 560, 275, 24704, 31187, 19, 13472, 17, 490, 677, 29660, 560, 275, 16866, 27891, 557, 31187, 17, 329, 490, 869, 273, 45464, 329, 28347, 2620, 523, 275, 24704, 31187, 19, 334, 1690, 302, 24704, 45464, 21506, 17, 448, 9140, 292, 273, 5043, 683, 17, 23786, 2075, 275, 16866, 27891, 557, 388, 92, 1372, 7, 275, 24704, 311, 770, 19, 332, 2519, 4488, 10846, 3094, 24704, 741, 17, 1101, 17912, 313, 4175, 4683, 8956, 275, 16866, 27891, 557, 31187, 884, 88, 4809, 311, 2931, 521, 10574, 275, 25810, 19, 204, 673, 1901, 2323, 329, 3422, 8095, 302, 17912, 313, 4175, 4683, 17, 8405, 17, 529, 43194, 329, 6053, 427, 32672, 19, 12896, 7529, 292, 313, 4175, 529, 5298, 1330, 24704, 25810, 529, 3264, 2404, 275, 16866, 27891, 557, 31187, 353, 18493, 311, 31640, 5627, 19, 4168, 4683, 302, 275, 45464, 21506, 529, 3264, 17, 523, 275, 904, 1922, 17, 808, 353, 311, 940, 30766, 1182, 5627, 302, 313, 571, 329, 313, 681, 17, 2404, 1422, 353, 2861, 4440, 3171, 3113, 292, 275, 2484, 19, 204, 14426, 85, 3570, 32672, 329, 6053, 427, 32672, 4006, 884, 89, 4501, 722, 497, 275, 1729, 8095, 19, 1547, 884, 88, 508, 496, 34298, 348, 4598, 311, 2390, 43194, 19, 592, 1901, 2910, 17, 1422, 11155, 884, 89, 273, 2824, 41721, 17, 2090, 273, 944, 521, 27838, 302, 275, 31187, 19, 332, 3836, 3253, 302, 43194, 353, 437, 39455, 4614, 3250, 13392, 449, 3517, 884, 88, 24704, 10438, 17, 928, 353, 1182, 10690, 19, 48548, 17, 7057, 275, 24704, 31187, 1425, 1563, 292, 43194, 19, 204, 673, 1901, 2323, 3253, 302, 6053, 427, 32672, 353, 6890, 1405, 12, 4614, 19, 29560, 5175, 17, 273, 2637, 944, 523, 275, 24704, 31187, 618, 2566, 490, 1025, 1048, 16305, 17, 928, 4230, 444, 13567, 560, 3264, 17, 17912, 313, 4175, 4683, 19, 9988, 5792, 618, 1425, 722, 292, 6053, 427, 32672, 17, 329, 1465, 720, 10, 302, 4598, 2390, 273, 8987, 3155, 302, 490, 1877, 5701, 273, 11535, 19, 204, 12695, 3836, 8095, 302, 2223, 521, 3264, 21506, 4683, 529, 275, 732, 302, 275, 16661, 45569, 329, 273, 1624, 478, 290, 389, 19, 2767, 16620, 6427, 353, 10976, 10690, 17, 1101, 490, 353, 5508, 311, 722, 292, 17912, 313, 4175, 4683, 19, 1606, 880, 348, 313, 4175, 1120, 5573, 7066, 302, 2519, 292, 1429, 6396, 42008, 12772, 11861, 348, 6427, 19, 204, 3837, 677, 3287, 311, 4806, 496, 17912, 313, 4175, 4683, 529, 8489, 3913, 311, 273, 29454, 13013, 521, 48474, 683, 19, 828, 273, 1874, 353, 10178, 4476, 302, 7112, 17, 490, 353, 273, 3094, 6733, 311, 9437, 275, 683, 19, 1058, 618, 8184, 521, 2872, 316, 275, 2171, 1563, 329, 3422, 16610, 10996, 9029, 23410, 17, 397, 1945, 19, 204, 5842, 302, 2077, 33569, 1120, 5197, 1214, 22639, 329, 1895, 3731, 397, 32783, 10948, 19, 9076, 496, 10625, 523, 275, 542, 302, 19340, 572, 7137, 17, 808, 618, 3074, 20160, 497, 273, 4542, 3658, 311, 273, 4542, 3054, 19, 28700, 872, 348, 14644, 311, 6024, 26668, 3249, 26155, 6, 0, 38, 4790, 302, 21781, 329, 13496, 204, 18489, 353, 387, 1156, 18994, 8373, 17, 273, 2344, 8696, 292, 1429, 3576, 302, 275, 2688, 19, 334, 1489, 448, 1702, 17, 630, 3406, 292, 3099, 302, 2688, 3511, 17, 353, 292, 35664, 17, 1101, 9631, 22121, 41007, 311, 2909, 630, 1429, 2590, 18, 4917, 22846, 19, 204, 3728, 529, 34719, 36, 387, 1156, 18994, 529, 3232, 560, 5043, 17, 1629, 36, 7054, 353, 508, 13765, 275, 1322, 17, 5862, 17, 2404, 34719, 529, 508, 4501, 13496, 329, 21781, 521, 13496, 329, 13496, 521, 21781, 329, 21781, 1415, 6635, 275, 1729, 6757, 19, 3065, 529, 1425, 4315, 18, 30220, 18994, 329, 1660, 18, 30220, 18994, 19, 4253, 1675, 1422, 529, 17260, 34719, 17, 1415, 529, 34719, 5575, 311, 275, 3938, 17, 1101, 508, 6038, 28045, 19, 19265, 16031, 34719, 6635, 2753, 841, 1762, 302, 1017, 10141, 17, 4315, 18, 30220, 18994, 630, 3406, 2019, 841, 1762, 17, 329, 17260, 34719, 11077, 19, 204, 35433, 808, 3697, 2342, 5814, 4199, 1662, 41160, 17796, 618, 444, 19, 3242, 353, 3667, 275, 1322, 17, 273, 6247, 4790, 353, 508, 2237, 19, 204, 56, 8291, 329, 25377, 292, 5936, 204, 15904, 302, 3397, 31, 22076, 1995, 848, 904, 448, 25377, 329, 37880, 19, 3846, 5566, 36, 12338, 1250, 1307, 311, 275, 1729, 11575, 521, 13441, 311, 275, 1729, 22813, 36, 12338, 1250, 22135, 275, 1729, 21670, 292, 24021, 36, 12338, 1250, 529, 34462, 5329, 36, 8278, 4440, 17, 273, 3277, 18082, 521, 1236, 353, 28895, 2237, 19, 6917, 273, 1043, 24032, 1422, 353, 5971, 273, 5348, 1622, 780, 10559, 20410, 1880, 884, 88, 6733, 302, 5608, 30091, 17, 8489, 1017, 6733, 302, 2804, 353, 1792, 19, 4087, 2075, 5814, 273, 10927, 273, 10927, 17, 329, 496, 566, 521, 2268, 618, 444, 273, 13496, 521, 273, 21781, 36, 204, 673, 10927, 13082, 353, 10442, 924, 10401, 19, 334, 10927, 1994, 336, 353, 18321, 523, 19155, 43175, 329, 275, 44305, 793, 884, 2427, 336, 19, 22076, 27144, 275, 2631, 19, 204, 18, 1785, 8732, 292, 5608, 275, 21670, 17, 275, 22412, 17, 329, 275, 19155, 23507, 19, 204, 18, 1785, 8732, 496, 11297, 5936, 10564, 348, 451, 329, 20008, 2528, 17, 329, 496, 2474, 1120, 3891, 2528, 19, 204, 18, 1785, 8732, 292, 1051, 27191, 16147, 329, 35599, 8237, 11575, 17, 275, 3156, 288, 302, 1533, 10562, 17, 43718, 12328, 302, 36414, 17, 275, 47776, 302, 275, 2484, 17, 329, 3307, 7921, 44225, 19, 204, 837, 4998, 17, 22076, 5506, 26448, 560, 34462, 2643, 19, 4253, 1250, 4070, 848, 904, 292, 273, 20972, 329, 33655, 2501, 19, 204, 26053, 4825, 8732, 292, 5936, 204, 4237, 17, 273, 2909, 630, 24596, 5913, 31, 508, 830, 8732, 808, 1169, 1182, 19, 592, 36556, 2666, 17, 22076, 1466, 14351, 1415, 12551, 292, 11297, 5936, 448, 275, 22412, 302, 5608, 19, 15601, 17, 22076, 2428, 7105, 22076, 1415, 1236, 6397, 2219, 8732, 292, 11297, 5936, 19, 3065, 529, 4325, 286, 87, 924, 10401, 21992, 17, 1898, 19513, 3704, 21992, 17, 303, 286, 267, 3704, 21992, 3217, 416, 830, 292, 275, 27949, 2085, 302, 24596, 19, 3065, 529, 4447, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1872, 9172, 440, 4382, 23623, 17, 7301, 12574, 302, 10927, 21992, 1425, 7647, 560, 1017, 2268, 270, 4474, 1662, 6167, 275, 2484, 302, 5936, 353, 19, 204, 35395, 17, 10927, 13082, 353, 311, 444, 30560, 5215, 19, 332, 11132, 496, 1583, 508, 21757, 1283, 10165, 521, 6978, 17, 30751, 521, 13927, 521, 4361, 1502, 19, 332, 11132, 496, 19236, 523, 275, 15319, 329, 275, 8602, 2842, 448, 490, 1583, 523, 275, 11031, 329, 275, 7831, 19, 332, 11132, 348, 928, 830, 3651, 20955, 529, 21847, 302, 5608, 329, 529, 44706, 302, 7953, 11015, 8336, 19, 10927, 13082, 1583, 508, 4627, 17, 1622, 12950, 17, 1101, 9517, 4412, 1101, 6216, 17, 1622, 12950, 17, 496, 884, 88, 4153, 24194, 17182, 1826, 38084, 275, 3698, 1570, 2404, 5608, 38084, 3850, 353, 273, 10927, 19, 17182, 1826, 22036, 275, 14638, 1873, 5976, 302, 33466, 1475, 353, 273, 10927, 19, 204, 37890, 273, 10927, 2317, 437, 25270, 204, 673, 588, 5366, 490, 830, 19, 25511, 273, 10927, 3210, 2631, 275, 1763, 302, 5936, 17, 7497, 275, 8336, 302, 5608, 17, 329, 33359, 275, 6990, 302, 275, 19155, 23507, 18995, 3217, 668, 1605, 529, 10569, 302, 10927, 25377, 329, 37880, 19, 31437, 21781, 447, 329, 13496, 447, 3210, 15776, 299, 348, 5261, 17, 32295, 440, 5261, 17, 37649, 440, 5261, 17, 329, 37924, 299, 2077, 18068, 19, 1058, 353, 2075, 5814, 25377, 329, 37880, 292, 5936, 19, 204, 21912, 1826, 7977, 2090, 808, 13374, 2483, 5608, 19, 204, 16119, 31, 724, 879, 6685, 760, 396, 338, 3613, 19, 364, 33475, 19, 1453, 0, 531, 10697, 532, 14354, 17, 10375, 204, 531, 28083, 19, 29441, 532, 44123, 204, 204, 8, 968, 3454, 348, 11192, 886, 204, 676, 4861, 31, 204, 264, 320, 7554, 348, 275, 313, 5655, 2023, 1279, 204, 264, 33665, 68, 2956, 289, 1199, 204, 264, 595, 3458, 32977, 68, 8327, 289, 2031, 204, 264, 39333, 3096, 68, 44003, 289, 571, 204, 264, 39333, 3096, 68, 17378, 3285, 289, 887, 204, 264, 39333, 3096, 68, 49, 38790, 289, 931, 204, 204, 676, 313, 5655, 13, 1126, 17, 44123, 330, 204, 264, 320, 204, 264, 332, 10697, 2023, 496, 12784, 1483, 1465, 273, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1727, 68, 1270, 322, 1386, 330, 1346, 726, 1174, 1483, 1465, 275, 1727, 19, 204, 268, 7572, 322, 44655, 5237, 17, 1448, 330, 334, 2260, 5237, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1727, 68, 1270, 31, 726, 17, 7572, 34, 3170, 330, 204, 268, 320, 204, 268, 1865, 275, 313, 5655, 2023, 19, 204, 204, 268, 457, 31, 204, 305, 1727, 68, 1270, 322, 1386, 330, 1346, 726, 1174, 1483, 1465, 275, 1727, 19, 204, 305, 7572, 322, 44655, 5237, 17, 1448, 330, 334, 2260, 5237, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 8319, 34, 8319, 14, 204, 268, 44123, 3925, 924, 889, 327, 17, 1727, 68, 1270, 14, 204, 268, 370, 806, 2602, 68, 1270, 289, 1727, 68, 1270, 204, 268, 370, 806, 1270, 68, 1676, 289, 10375, 13, 327, 17, 1068, 833, 19573, 491, 4514, 34, 75, 12, 58, 46509, 463, 7554, 19, 14340, 68, 2956, 98, 19520, 534, 204, 268, 370, 806, 579, 68, 1669, 289, 370, 806, 1510, 68, 1270, 68, 1669, 611, 10979, 3877, 31, 7537, 1727, 68, 1270, 19, 579, 14, 204, 268, 370, 806, 898, 68, 1669, 289, 370, 806, 1510, 68, 1270, 68, 1669, 611, 13840, 31, 7537, 1727, 68, 1270, 19, 898, 14, 204, 268, 370, 806, 2749, 68, 1676, 289, 10375, 13, 327, 17, 1068, 34, 2602, 68, 1270, 19, 2749, 17, 10191, 863, 786, 34, 7554, 19, 60, 3458, 32977, 68, 8327, 14, 204, 268, 370, 806, 5666, 68, 3802, 374, 204, 204, 264, 436, 906, 1510, 68, 1270, 68, 1669, 13, 327, 17, 1800, 68, 492, 31, 394, 17, 700, 31, 394, 14, 393, 14354, 31, 204, 268, 320, 204, 268, 2605, 273, 2023, 440, 273, 1800, 329, 273, 700, 1800, 19, 204, 204, 268, 457, 31, 204, 305, 1800, 68, 492, 322, 325, 330, 334, 1068, 348, 275, 1800, 19, 204, 305, 700, 322, 325, 330, 334, 700, 311, 2037, 19, 204, 204, 268, 475, 31, 204, 305, 14354, 31, 334, 1966, 2023, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 2023, 311, 5148, 275, 1800, 329, 700, 204, 268, 2023, 289, 14354, 13, 327, 14, 204, 268, 314, 666, 275, 1800, 329, 700, 1800, 204, 268, 1800, 289, 10375, 13, 1669, 17, 1068, 34, 1676, 68, 492, 14, 204, 268, 700, 68, 1676, 289, 10375, 13, 1669, 17, 1068, 34, 876, 17, 5665, 833, 21968, 534, 204, 268, 314, 10806, 275, 1800, 329, 700, 1800, 1025, 275, 2023, 204, 268, 1800, 19, 3674, 13, 2662, 833, 1735, 491, 16350, 34, 7554, 19, 38376, 68, 44003, 14, 204, 268, 700, 68, 1676, 19, 3674, 13, 2662, 833, 1735, 491, 16350, 34, 7554, 19, 38376, 68, 44003, 14, 204, 268, 407, 2023, 204, 204, 264, 436, 906, 5666, 68, 3802, 13, 327, 330, 204, 268, 320, 204, 268, 5313, 719, 275, 9166, 4550, 19, 204, 268, 320, 204, 268, 314, 10806, 275, 3986, 1800, 204, 268, 370, 806, 1270, 68, 1676, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 49, 38790, 14, 204, 268, 314, 10806, 275, 6344, 329, 2054, 6710, 204, 268, 370, 806, 579, 68, 1669, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 268, 370, 806, 898, 68, 1669, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 268, 314, 10806, 275, 2342, 1800, 204, 268, 370, 806, 2749, 68, 1676, 19, 3674, 13, 37560, 34, 7554, 19, 38376, 68, 17378, 3285, 14, 204, 204, 264, 436, 21110, 13, 327, 17, 1483, 31, 726, 289, 443, 330, 204, 268, 320, 204, 268, 5307, 275, 11656, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 1483, 322, 1386, 17, 1448, 330, 334, 717, 1483, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 1727, 3986, 397, 717, 1483, 353, 1917, 204, 268, 397, 1483, 353, 508, 443, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 204, 305, 370, 806, 2602, 68, 1270, 289, 1483, 204, 268, 314, 1716, 275, 6344, 329, 2054, 1019, 292, 275, 6710, 204, 268, 370, 806, 579, 68, 1669, 19, 43937, 68, 7507, 8083, 22, 1664, 1087, 13, 492, 34, 327, 806, 2602, 68, 1270, 19, 579, 14, 204, 268, 370, 806, 898, 68, 1669, 19, 43937, 68, 7507, 8083, 22, 1664, 1087, 13, 492, 34, 327, 806, 2602, 68, 1270, 19, 898, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 10697, 448, 3347, 204, 264, 497, 8632, 532, 8204, 204, 204, 264, 1642, 6611, 204, 264, 850, 12121, 5655, 31, 204, 268, 6344, 31, 394, 204, 268, 2054, 31, 421, 204, 268, 2342, 31, 394, 204, 204, 264, 850, 7614, 38778, 31, 204, 268, 436, 589, 924, 889, 327, 17, 1727, 68, 1270, 330, 204, 305, 370, 19, 2602, 68, 1270, 289, 1727, 68, 1270, 204, 204, 264, 1610, 289, 3347, 19, 7882, 374, 204, 264, 1727, 68, 1270, 289, 12121, 5655, 499, 12595, 19, 13282, 19, 22, 19, 22, 528, 27707, 17, 388, 1834, 353, 273, 683, 1727, 431, 204, 264, 265, 68, 1270, 289, 313, 5655, 13, 2602, 68, 1270, 17, 7572, 34, 2125, 14, 204, 264, 265, 68, 1270, 19, 3674, 374, 204, 264, 1610, 19, 14677, 374, 204, 0, 23976, 1984, 4726, 45, 32837, 19592, 14758, 15144, 32837, 2065, 21307, 8345, 921, 41464, 12054, 942, 3976, 14818, 16081, 13630, 1227, 16135, 4384, 568, 19592, 13911, 21230, 1456, 25041, 7333, 29539, 11035, 14758, 11247, 460, 5277, 21147, 16167, 29588, 29539, 1946, 9487, 21225, 27173, 1191, 568, 204, 4726, 45, 32837, 19592, 14758, 15144, 1254, 4726, 1189, 5757, 6713, 4664, 41464, 13644, 27564, 14758, 408, 41464, 7452, 4726, 22605, 8690, 241, 6677, 3716, 2860, 4276, 2433, 4298, 408, 6606, 21230, 21307, 6614, 921, 3464, 8345, 4004, 2738, 30728, 1390, 3590, 408, 26089, 47239, 1227, 30728, 13630, 1579, 3429, 2807, 460, 24089, 408, 7452, 41464, 1550, 41648, 4004, 2738, 16081, 13630, 408, 2678, 4004, 2738, 12354, 32273, 408, 9518, 19592, 32837, 30726, 568, 13644, 27564, 2815, 16460, 3361, 4661, 32837, 19592, 14758, 5851, 37631, 2321, 13644, 27564, 14758, 725, 32837, 6152, 14758, 725, 19278, 3464, 19592, 14758, 725, 32837, 21307, 14758, 725, 32837, 45675, 14758, 725, 16460, 3361, 4661, 32837, 19592, 14758, 568, 13004, 2815, 16460, 3361, 4661, 32837, 19592, 14758, 921, 13004, 2337, 35217, 1191, 3784, 3976, 15234, 408, 921, 33917, 1390, 35217, 11066, 24821, 2338, 39622, 5277, 16217, 21147, 8483, 45898, 25190, 408, 6883, 1886, 6371, 13191, 408, 3976, 22146, 13004, 2337, 11485, 35217, 8483, 17584, 408, 19592, 1946, 21230, 31391, 23056, 2498, 4323, 568, 13006, 38626, 4957, 21581, 23758, 16217, 12530, 408, 5851, 9632, 21230, 31391, 23056, 4323, 408, 11530, 2321, 10344, 568, 204, 21544, 725, 9855, 725, 44029, 725, 2134, 22268, 725, 34671, 2677, 1971, 16856, 17172, 11648, 9143, 40099, 921, 27757, 9878, 48639, 7720, 10000, 21147, 568, 4411, 9555, 11422, 2338, 5115, 33217, 2338, 40604, 23992, 19043, 460, 42116, 408, 20197, 40604, 5259, 2338, 32199, 23428, 408, 10150, 4664, 1227, 28835, 19591, 408, 9027, 25066, 1603, 6806, 43571, 43357, 1871, 11079, 17891, 28308, 11860, 26286, 6290, 408, 10150, 1603, 39128, 725, 9103, 19563, 37886, 26327, 1955, 568, 204, 13644, 27564, 14758, 854, 8777, 8846, 35217, 2860, 32837, 6152, 25365, 5259, 408, 2336, 8412, 10344, 725, 45912, 4323, 23772, 725, 21230, 4758, 6311, 2382, 408, 5017, 8221, 42449, 568, 204, 13644, 27564, 14758, 13423, 24089, 43724, 10092, 3361, 725, 22363, 3361, 1227, 8704, 3361, 32613, 12554, 568, 8695, 42154, 4987, 22363, 3361, 13644, 27564, 1984, 14187, 10000, 2114, 2860, 27101, 10884, 10000, 21147, 32837, 3571, 3419, 2575, 31273, 19592, 14758, 408, 11035, 41464, 5784, 408, 32837, 3064, 14758, 7386, 7573, 2739, 408, 2056, 21230, 23034, 16167, 23034, 1946, 2065, 29179, 17408, 47634, 21307, 8345, 14187, 22363, 3361, 16691, 4525, 41464, 33768, 4276, 29193, 568, 921, 41464, 12054, 1390, 408, 3464, 8345, 4004, 2738, 12354, 16081, 21307, 1191, 1227, 16135, 408, 1254, 31081, 32837, 1191, 2405, 7333, 460, 10000, 2114, 2860, 27101, 2114, 7580, 2654, 568, 10000, 21147, 32837, 11035, 19592, 1946, 408, 4762, 2056, 5277, 21147, 4661, 43063, 5277, 21147, 1946, 2499, 18753, 21230, 3064, 20233, 5612, 2739, 27173, 568, 1002, 17571, 2114, 15865, 9352, 22764, 725, 12530, 26783, 1427, 125, 2739, 4146, 3827, 9942, 1191, 408, 46406, 22764, 3064, 34073, 3361, 4304, 27007, 408, 20506, 460, 33159, 2654, 3064, 5612, 7580, 4304, 21225, 27007, 568, 21307, 8345, 921, 14758, 7386, 2056, 46610, 4129, 4758, 1946, 921, 14758, 11247, 13644, 27564, 2253, 1926, 408, 4286, 3361, 4228, 14758, 7386, 18095, 3865, 568, 415, 9049, 32837, 19592, 14758, 15144, 8412, 12453, 31, 4726, 41464, 13644, 27564, 14758, 8412, 4587, 3622, 2815, 15856, 4035, 2815, 1227, 31417, 2815, 568, 4035, 2815, 8412, 13423, 24089, 1189, 3464, 8345, 4004, 2738, 4035, 22363, 16081, 408, 31417, 2815, 8412, 13423, 24089, 1189, 3464, 8345, 4004, 2738, 42442, 3361, 16081, 408, 32837, 4525, 41464, 5784, 6107, 1227, 8345, 2738, 16081, 21307, 1191, 1227, 408, 13225, 9518, 19592, 8483, 568, 3579, 2006, 14758, 1191, 41464, 5784, 1432, 1789, 4905, 3579, 5784, 2860, 1689, 5784, 568, 21577, 31, 6472, 19592, 47220, 408, 40803, 9760, 2174, 408, 26994, 6829, 725, 10166, 14745, 12350, 725, 2807, 16161, 1822, 725, 22603, 32849, 725, 47193, 2382, 725, 32837, 6152, 2359, 1251, 1955, 21577, 568, 204, 0, 40344, 17, 11261, 2905, 17, 10599, 204, 14829, 321, 353, 275, 30652, 29788, 4132, 1574, 292, 275, 2747, 30655, 17, 5576, 1070, 497, 275, 36230, 302, 8721, 321, 19, 1547, 353, 6028, 437, 3585, 1574, 329, 353, 1051, 302, 3420, 23360, 9649, 19, 8721, 321, 353, 26372, 560, 275, 8504, 34037, 322, 9798, 1425, 5035, 313, 36159, 789, 25511, 275, 30652, 1574, 302, 275, 1264, 30655, 17, 8721, 321, 869, 1742, 3610, 440, 275, 29788, 4132, 30652, 4554, 19, 204, 30710, 88, 9596, 1330, 275, 12536, 867, 292, 808, 1574, 529, 6028, 8721, 321, 7330, 19, 334, 12536, 21311, 8721, 321, 523, 275, 5353, 302, 6025, 1203, 281, 6703, 6484, 93, 560, 4790, 17, 521, 3332, 11047, 5436, 17, 12637, 490, 3332, 11261, 3528, 19, 204, 14829, 321, 17, 1425, 3556, 448, 388, 673, 39716, 7, 521, 388, 15674, 528, 353, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 1698, 4414, 302, 275, 1264, 30655, 496, 353, 6717, 560, 437, 292, 47552, 726, 17, 6216, 1194, 437, 6555, 521, 3651, 19, 0, 647, 304, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 461, 1967, 68, 9316, 68, 1270, 13, 805, 31, 394, 14, 393, 1535, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 7483, 6858, 1483, 497, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 1779, 322, 325, 330, 334, 1274, 1174, 6858, 1483, 19, 204, 204, 264, 475, 31, 204, 264, 1535, 64, 1665, 64, 325, 17, 394, 2440, 332, 955, 1174, 275, 7751, 329, 6858, 886, 17, 521, 443, 397, 13348, 4737, 19, 204, 264, 320, 204, 264, 314, 15155, 2231, 3758, 311, 2216, 6858, 329, 7751, 886, 204, 264, 6858, 68, 4745, 289, 468, 12, 33782, 18, 1568, 21, 18, 30, 15862, 15795, 204, 264, 7751, 68, 4745, 289, 468, 12, 42604, 18, 1568, 21, 18, 30, 15862, 15795, 204, 204, 264, 810, 31, 204, 268, 314, 6994, 348, 6858, 329, 7751, 886, 292, 275, 1274, 204, 268, 6858, 68, 4054, 289, 304, 19, 1803, 13, 9316, 68, 4745, 17, 1779, 14, 204, 268, 7751, 68, 4054, 289, 304, 19, 1803, 13, 15675, 68, 4745, 17, 1779, 14, 204, 204, 268, 314, 778, 397, 1855, 6858, 329, 7751, 886, 529, 1193, 204, 268, 397, 6858, 68, 4054, 329, 7751, 68, 4054, 31, 204, 305, 314, 1986, 275, 6858, 329, 7751, 886, 204, 305, 6858, 68, 1190, 289, 6858, 68, 4054, 19, 2207, 13, 22, 14, 204, 305, 7751, 68, 1190, 289, 7751, 68, 4054, 19, 2207, 13, 22, 14, 204, 204, 305, 314, 666, 273, 955, 311, 1640, 275, 6858, 1483, 204, 305, 6858, 68, 1270, 289, 463, 204, 485, 379, 15675, 597, 7751, 68, 1190, 17, 204, 485, 379, 9316, 597, 6858, 68, 1190, 204, 305, 1211, 204, 305, 407, 6858, 68, 1270, 204, 268, 902, 31, 204, 305, 314, 1426, 275, 1322, 1273, 4260, 6858, 521, 7751, 542, 353, 508, 1193, 204, 305, 456, 499, 596, 31, 32470, 311, 1967, 6858, 1483, 497, 275, 1274, 1280, 204, 305, 407, 443, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 13504, 2805, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 204, 461, 1900, 68, 553, 68, 417, 13, 9316, 68, 1270, 31, 1061, 64, 325, 17, 394, 694, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 273, 510, 588, 1609, 523, 275, 6858, 1483, 19, 204, 204, 264, 457, 31, 204, 264, 6858, 68, 1270, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1174, 275, 7751, 329, 6858, 886, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4489, 510, 588, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 510, 588, 974, 275, 6858, 1483, 204, 264, 510, 68, 417, 289, 283, 7, 40, 28092, 68, 35705, 68, 42162, 68, 56, 96, 9316, 68, 1270, 736, 15675, 839, 6803, 42, 96, 9316, 68, 1270, 736, 9316, 25958, 204, 264, 407, 510, 68, 417, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 1779, 289, 379, 3189, 1963, 6891, 18, 39655, 19, 638, 812, 19, 1453, 20, 9904, 20, 45608, 74, 28, 72, 473, 18, 7946, 2985, 18, 25, 74, 21, 73, 18, 70, 25, 1805, 18, 71, 30, 2188, 7298, 11425, 331, 22, 20, 2177, 7879, 75, 29, 5639, 18, 599, 3222, 18, 2985, 25, 74, 18, 9889, 74, 29, 18, 21, 75, 24, 73, 22, 74, 6913, 1511, 6007, 20, 9904, 18, 3916, 599, 28, 71, 8265, 71, 25, 75, 30574, 71, 27, 6655, 429, 6586, 27, 3916, 23, 75, 23, 74, 29, 73, 28, 18, 7489, 19, 324, 24, 36, 1935, 18, 2387, 18, 1772, 1932, 34, 2029, 10, 24, 41, 10, 2898, 40, 28092, 18, 35705, 18, 42162, 18, 33782, 18, 2169, 18, 42604, 18, 25, 18, 40, 28092, 18, 25676, 19, 324, 24, 10, 2898, 11, 1697, 12, 204, 264, 6858, 68, 1270, 289, 1967, 68, 9316, 68, 1270, 13, 805, 14, 204, 264, 397, 6858, 68, 1270, 31, 204, 268, 510, 68, 417, 289, 1900, 68, 553, 68, 417, 13, 9316, 68, 1270, 14, 204, 268, 456, 13, 553, 68, 417, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 1535, 204, 204, 676, 41831, 31, 204, 264, 320, 204, 264, 2646, 273, 15189, 440, 273, 1012, 329, 1136, 1489, 19, 204, 204, 264, 1532, 31, 204, 268, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 268, 9801, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 10045, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 68, 672, 31, 1804, 17, 5401, 68, 266, 68, 4936, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 717, 41831, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 305, 5401, 68, 266, 68, 4936, 322, 339, 330, 334, 5401, 302, 275, 15189, 292, 3054, 19, 204, 268, 320, 204, 268, 370, 19, 1530, 68, 672, 289, 1012, 68, 672, 204, 268, 370, 19, 3439, 68, 672, 289, 370, 19, 3446, 68, 3439, 68, 672, 13, 1530, 68, 672, 17, 5401, 68, 266, 68, 4936, 14, 204, 204, 264, 436, 949, 68, 3439, 68, 672, 13, 327, 17, 1012, 68, 672, 31, 1804, 17, 5401, 68, 266, 68, 4936, 31, 421, 14, 393, 1804, 31, 204, 268, 320, 204, 268, 3989, 275, 9801, 1489, 1609, 523, 275, 1012, 1489, 329, 5401, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 68, 672, 322, 2664, 330, 334, 1489, 275, 15189, 6911, 19, 204, 305, 5401, 68, 266, 68, 4936, 322, 339, 330, 334, 5401, 302, 275, 15189, 292, 3054, 19, 204, 204, 268, 475, 31, 204, 305, 1804, 31, 334, 3392, 9801, 1489, 19, 204, 268, 320, 204, 268, 314, 888, 275, 9801, 1489, 560, 5209, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 5401, 311, 275, 1012, 1489, 204, 268, 407, 1012, 68, 672, 465, 8351, 13, 4936, 34, 7083, 68, 266, 68, 4936, 14, 204, 204, 264, 436, 1395, 68, 3439, 68, 672, 13, 327, 17, 717, 68, 3439, 68, 672, 31, 1804, 330, 204, 268, 320, 204, 268, 5307, 275, 9801, 1489, 302, 275, 15189, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 3439, 68, 672, 322, 2664, 330, 334, 717, 9801, 1489, 19, 204, 268, 320, 204, 268, 314, 1716, 275, 9801, 1489, 204, 268, 370, 19, 3439, 68, 672, 289, 717, 68, 3439, 68, 672, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 15189, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 15189, 19, 204, 268, 320, 204, 268, 407, 283, 7, 43347, 497, 463, 327, 19, 1530, 68, 672, 98, 311, 463, 327, 19, 3439, 68, 672, 2495, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 1012, 68, 672, 289, 1804, 19, 1520, 374, 204, 264, 15189, 289, 41831, 13, 1530, 68, 672, 17, 2468, 14, 204, 264, 456, 13, 23701, 14, 204, 204, 264, 314, 1716, 275, 9801, 1489, 204, 264, 717, 68, 3439, 68, 672, 289, 1804, 19, 1520, 374, 465, 8351, 13, 4936, 34, 2682, 14, 204, 264, 15189, 19, 2045, 68, 3439, 68, 672, 13, 1957, 68, 3439, 68, 672, 14, 204, 264, 456, 13, 23701, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 13683, 41516, 15630, 10231, 43025, 22, 2903, 22, 2544, 18239, 408, 1951, 21161, 4763, 16579, 2704, 3733, 2299, 17438, 7386, 3169, 7473, 3227, 15887, 4821, 408, 13406, 16579, 2704, 1254, 3534, 18, 9361, 1002, 24736, 3227, 15887, 408, 36947, 7756, 4004, 6128, 14763, 568, 9993, 3988, 2014, 2299, 2300, 4139, 26, 1191, 408, 18224, 4298, 23, 18224, 22, 1191, 21222, 1258, 1789, 25, 39596, 408, 12682, 24378, 942, 4286, 4885, 408, 21268, 4197, 1886, 24554, 3240, 20785, 3944, 27946, 3152, 1262, 568, 4856, 1946, 7386, 3169, 7473, 1773, 12235, 4015, 7386, 3169, 7473, 14510, 2704, 4002, 34795, 1603, 2183, 30800, 21306, 2615, 6256, 408, 10971, 854, 5757, 6949, 1984, 204, 1748, 4875, 6613, 18, 12232, 6730, 6677, 18047, 2781, 25495, 5972, 13907, 38090, 16691, 11463, 2299, 9510, 16270, 408, 2857, 4500, 12075, 12723, 18, 16645, 7228, 17481, 6111, 2145, 239, 14525, 38090, 3136, 34849, 42403, 1390, 2299, 408, 5843, 20026, 6642, 5385, 921, 7238, 4197, 27472, 9230, 1111, 12977, 568, 21055, 19534, 7115, 42726, 35353, 9230, 5124, 17144, 30398, 408, 3038, 14533, 4532, 8688, 4696, 942, 38548, 21455, 44658, 16579, 2704, 568, 23150, 30707, 15895, 6693, 2183, 2299, 16009, 4298, 27255, 15600, 408, 2014, 2299, 2218, 2684, 241, 34161, 1794, 1789, 408, 2498, 45702, 2274, 7360, 408, 921, 11254, 10747, 460, 23, 1789, 5049, 21365, 408, 28432, 25621, 1970, 1189, 19534, 21222, 1111, 27, 1789, 408, 13406, 921, 11632, 27580, 1926, 19534, 1254, 9361, 18, 3534, 44658, 1111, 16579, 2704, 408, 1254, 6245, 6128, 11457, 5220, 4226, 18094, 1565, 568, 204, 3675, 3227, 15887, 21301, 48253, 7360, 408, 42012, 2183, 30800, 1191, 19591, 1111, 1251, 2499, 6969, 7994, 6613, 18, 5843, 20026, 6642, 408, 921, 5840, 4197, 16240, 2426, 25, 1789, 6221, 21365, 408, 4465, 2526, 3988, 37374, 4821, 6347, 460, 3921, 4298, 1946, 408, 18764, 19185, 16579, 408, 5843, 20026, 6642, 1822, 1822, 21937, 3152, 17399, 1670, 1251, 3304, 2499, 8010, 4298, 31795, 10536, 408, 11448, 921, 25563, 1398, 4265, 4640, 7689, 27472, 9230, 1111, 10251, 12977, 14281, 33706, 695, 126, 2773, 18806, 1001, 1886, 4623, 3013, 1390, 2299, 11409, 11254, 408, 3038, 11632, 10251, 12977, 26964, 6325, 27932, 17413, 3944, 16611, 7712, 1926, 2299, 408, 9238, 921, 10251, 12977, 36399, 1390, 776, 121, 4241, 408, 12319, 1926, 41216, 4265, 1390, 2299, 568, 21055, 2014, 2299, 3879, 4348, 1111, 1003, 11259, 408, 3038, 5843, 20026, 6642, 7441, 1189, 19534, 21222, 1111, 28, 1789, 568, 204, 8185, 31386, 23117, 9510, 16270, 408, 5727, 48647, 34848, 5851, 7335, 7335, 460, 12165, 15518, 3447, 460, 42474, 408, 7466, 31842, 6523, 7228, 4763, 6677, 1227, 4574, 18554, 17156, 1670, 2299, 4384, 408, 45973, 26604, 1604, 256, 6511, 2453, 27946, 460, 2274, 18667, 408, 1990, 2034, 1189, 3227, 15887, 21222, 1111, 1258, 1789, 1845, 1377, 39596, 568, 204, 16579, 2704, 1951, 11211, 1191, 22538, 19454, 22852, 34326, 2014, 2299, 2684, 241, 34161, 3787, 1789, 1258, 1377, 39596, 408, 2253, 19534, 48498, 4760, 9110, 6613, 2791, 18, 14966, 47560, 46463, 30800, 1191, 22978, 6308, 4004, 4821, 22828, 3653, 22538, 1398, 3878, 7162, 5921, 17437, 408, 921, 4004, 4821, 44053, 22828, 3653, 3304, 1398, 408, 14966, 47560, 2014, 2299, 2684, 241, 34161, 5049, 1789, 408, 2499, 3227, 15887, 43898, 6796, 32404, 408, 3675, 14533, 4532, 8688, 4696, 18460, 7756, 44053, 5840, 14763, 568, 921, 12243, 460, 43190, 408, 3227, 15887, 460, 6111, 14758, 3354, 1227, 9993, 2337, 6969, 9374, 45973, 9239, 25213, 4121, 12059, 14966, 47560, 408, 1002, 3675, 2336, 942, 8376, 39888, 460, 1670, 10632, 1456, 408, 13406, 921, 7005, 4121, 28846, 408, 14966, 47560, 10880, 1794, 1789, 1899, 34703, 568, 204, 12994, 408, 2791, 6111, 18, 8494, 3169, 460, 3944, 10539, 7059, 16579, 2704, 6817, 3178, 7080, 1251, 10859, 408, 11254, 9398, 9827, 4197, 1398, 408, 2453, 2499, 8494, 3169, 2065, 16847, 12151, 44265, 7228, 18, 6111, 14758, 8127, 6613, 8383, 40954, 408, 46062, 36777, 3784, 15518, 3447, 3944, 17403, 10539, 1670, 2299, 408, 6663, 33366, 30058, 41734, 22015, 460, 16579, 2704, 13321, 1390, 2235, 41919, 20302, 13683, 41516, 15630, 1984, 23900, 2321, 3079, 12530, 2653, 204, 0, 647, 304, 204, 204, 676, 11402, 31, 204, 264, 320, 204, 264, 2646, 273, 3754, 440, 273, 1043, 588, 17, 1673, 588, 17, 329, 3783, 542, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1043, 68, 417, 31, 394, 289, 443, 17, 1673, 68, 417, 31, 394, 289, 443, 17, 3783, 68, 1190, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 1865, 273, 11402, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1043, 68, 417, 322, 325, 330, 334, 1043, 588, 302, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 3754, 19, 204, 305, 1673, 68, 417, 322, 325, 330, 334, 1673, 588, 302, 275, 3754, 19, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 302, 275, 3754, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 1169, 302, 275, 2072, 529, 508, 3157, 19, 204, 305, 987, 31, 828, 275, 3783, 542, 353, 508, 292, 275, 1706, 1883, 19, 204, 268, 320, 204, 268, 314, 778, 397, 2072, 529, 3157, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2922, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 5834, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2391, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 12378, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 329, 508, 2381, 13, 4700, 68, 1190, 17, 394, 330, 204, 305, 980, 3660, 499, 15351, 542, 1631, 444, 273, 782, 1280, 204, 204, 268, 314, 3866, 3783, 542, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 397, 508, 370, 806, 360, 68, 1018, 68, 4700, 68, 1190, 13, 4700, 68, 1190, 330, 204, 485, 980, 987, 499, 1962, 3783, 542, 19, 2982, 732, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 1280, 204, 204, 268, 370, 19, 2922, 68, 417, 31, 394, 289, 1043, 68, 417, 204, 268, 370, 19, 2391, 68, 417, 31, 394, 289, 1673, 68, 417, 204, 268, 370, 19, 4700, 68, 1190, 31, 394, 289, 3783, 68, 1190, 204, 268, 370, 19, 6451, 68, 932, 31, 394, 289, 388, 3739, 22040, 7, 204, 204, 264, 436, 906, 360, 68, 1018, 68, 4700, 68, 1190, 13, 327, 17, 3783, 68, 1190, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 3783, 542, 353, 292, 275, 1706, 1883, 19, 204, 204, 268, 457, 31, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3783, 542, 353, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 15155, 2231, 311, 2216, 3783, 886, 292, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 204, 268, 2679, 289, 304, 19, 7354, 13, 87, 7, 10584, 73, 96, 24, 20744, 73, 96, 24, 20744, 73, 96, 25, 1617, 431, 204, 268, 407, 1109, 13, 4745, 19, 4054, 13, 4700, 68, 1190, 602, 204, 204, 264, 436, 1395, 68, 6451, 13, 327, 17, 1043, 68, 417, 31, 394, 289, 443, 17, 1673, 68, 417, 31, 394, 289, 443, 17, 3783, 68, 1190, 31, 394, 289, 443, 330, 204, 268, 320, 204, 268, 5307, 275, 3754, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 1043, 68, 417, 322, 325, 330, 334, 717, 1043, 588, 302, 275, 3754, 19, 204, 305, 1673, 68, 417, 322, 325, 330, 334, 717, 1673, 588, 302, 275, 3754, 19, 204, 305, 3783, 68, 1190, 322, 325, 330, 334, 717, 3783, 542, 302, 275, 3754, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 1169, 302, 275, 2072, 529, 508, 3157, 19, 204, 305, 987, 31, 828, 275, 3783, 542, 353, 508, 292, 275, 1706, 1883, 19, 204, 268, 320, 204, 268, 314, 778, 397, 2072, 529, 3157, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2922, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 5834, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 329, 508, 2381, 13, 2391, 68, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 12378, 588, 1631, 444, 273, 782, 1280, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 329, 508, 2381, 13, 4700, 68, 1190, 17, 394, 330, 204, 305, 980, 3660, 499, 15351, 542, 1631, 444, 273, 782, 1280, 204, 204, 268, 314, 3866, 3783, 542, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 397, 508, 370, 806, 360, 68, 1018, 68, 4700, 68, 1190, 13, 4700, 68, 1190, 330, 204, 485, 980, 987, 499, 1962, 3783, 542, 19, 2982, 732, 275, 1883, 1504, 9589, 18, 33980, 18, 24461, 1280, 204, 204, 268, 314, 1716, 3754, 1483, 204, 268, 397, 1043, 68, 417, 353, 508, 443, 31, 204, 305, 370, 19, 2922, 68, 417, 289, 1043, 68, 417, 204, 268, 397, 1673, 68, 417, 353, 508, 443, 31, 204, 305, 370, 19, 2391, 68, 417, 289, 1673, 68, 417, 204, 268, 397, 3783, 68, 1190, 353, 508, 443, 31, 204, 305, 370, 19, 4700, 68, 1190, 289, 3783, 68, 1190, 204, 204, 264, 436, 4080, 68, 6451, 13, 327, 330, 204, 268, 320, 204, 268, 19795, 275, 3754, 19, 204, 268, 320, 204, 268, 370, 19, 6451, 68, 932, 289, 388, 46983, 7, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 11402, 726, 19, 204, 268, 320, 204, 268, 407, 283, 7, 2687, 31, 463, 327, 19, 2922, 68, 417, 98, 463, 327, 19, 2391, 68, 417, 1522, 16769, 3239, 31, 463, 327, 19, 4700, 68, 1190, 1522, 2838, 31, 463, 327, 19, 6451, 68, 932, 2495, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3754, 289, 11402, 499, 6192, 528, 388, 21869, 528, 388, 4326, 18, 7372, 18, 25820, 431, 204, 264, 456, 13, 6451, 14, 204, 204, 264, 314, 1716, 3754, 1483, 204, 264, 3754, 19, 2045, 68, 6451, 13, 2391, 68, 417, 1022, 34494, 431, 204, 264, 456, 13, 6451, 14, 204, 204, 264, 314, 6676, 3754, 204, 264, 3754, 19, 4216, 68, 6451, 374, 204, 264, 456, 13, 6451, 14, 204, 0, 6765, 6049, 29639, 13391, 23037, 5124, 408, 4945, 6445, 1603, 23037, 5124, 1002, 17979, 408, 3922, 3571, 2336, 3654, 408, 12562, 25391, 23037, 22152, 408, 7756, 23037, 22152, 460, 13402, 408, 14041, 9276, 2174, 12562, 942, 23887, 30061, 408, 6271, 34172, 22084, 7533, 17092, 23037, 22152, 20244, 408, 6663, 37832, 1002, 25950, 18276, 3944, 38242, 4900, 1773, 408, 15699, 18724, 1670, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8208, 408, 8792, 7413, 12854, 408, 1002, 25950, 42726, 23037, 22152, 460, 17144, 30398, 568, 8465, 17092, 23037, 22152, 20244, 25216, 8922, 3812, 204, 22, 725, 10490, 9276, 2065, 23037, 22152, 8383, 10369, 460, 15272, 568, 2278, 2801, 242, 11620, 2114, 23037, 15025, 11574, 26998, 1390, 8010, 1971, 1401, 725, 24592, 4129, 1401, 725, 10364, 5170, 1002, 20202, 460, 23037, 46163, 3105, 100, 725, 23037, 4299, 11413, 1955, 568, 204, 23, 725, 1345, 48565, 15191, 20703, 18423, 568, 10732, 20703, 1002, 2093, 1398, 2093, 2359, 725, 16733, 9058, 16733, 5173, 725, 1899, 5173, 1811, 4565, 1811, 46667, 408, 1603, 23037, 11691, 36068, 10884, 22960, 408, 2065, 23037, 22152, 40195, 942, 7191, 9978, 568, 204, 24, 725, 4076, 7960, 2860, 1002, 7960, 5817, 240, 10086, 568, 7466, 4044, 19007, 1191, 24477, 2860, 1367, 9014, 17087, 7388, 45606, 10000, 18005, 1227, 33550, 40426, 408, 9398, 1843, 2006, 1946, 921, 7191, 34239, 1367, 32942, 7388, 45606, 40426, 4044, 44718, 2654, 408, 27764, 44718, 2654, 30164, 20945, 5584, 22152, 16122, 568, 204, 25, 725, 4076, 7960, 2860, 1002, 7960, 18005, 5817, 240, 725, 12709, 7769, 243, 725, 5351, 24608, 1227, 20960, 23449, 19007, 2278, 41662, 12019, 725, 6444, 24393, 725, 35228, 11413, 1955, 18005, 5817, 240, 11611, 6764, 24477, 3976, 14818, 18005, 408, 942, 8275, 23037, 15865, 11361, 460, 19219, 2114, 408, 5718, 6573, 19007, 921, 11135, 9878, 1432, 2678, 5584, 22152, 16122, 24, 18, 25, 34612, 2823, 2632, 252, 23056, 9145, 2253, 13751, 23037, 22152, 8383, 568, 204, 26, 725, 48565, 38136, 1531, 4299, 18423, 568, 48565, 30731, 460, 1531, 4299, 408, 6395, 1398, 43805, 725, 6395, 1398, 3152, 12068, 408, 9632, 34139, 460, 36269, 408, 34139, 460, 36269, 854, 38136, 9632, 408, 6960, 1843, 2006, 29390, 2034, 408, 9145, 44325, 20292, 460, 23324, 568, 204, 27, 725, 22426, 10700, 990, 1789, 1459, 121, 2366, 8464, 23037, 22152, 10943, 17092, 4770, 8681, 8922, 3812, 45134, 460, 13154, 23717, 2386, 2402, 34374, 1367, 13751, 23037, 22152, 460, 33531, 3655, 45400, 16902, 14122, 408, 1262, 1459, 121, 2455, 1251, 16154, 4771, 7960, 725, 17369, 2065, 7402, 4304, 1603, 4304, 41335, 13951, 1955, 11934, 22664, 44525, 4296, 5124, 14122, 568, 204, 21630, 25009, 17754, 18557, 10144, 408, 6445, 1603, 17092, 23037, 22152, 460, 15378, 2402, 17955, 31425, 10454, 3812, 22027, 10233, 19238, 19745, 408, 22027, 2780, 14041, 3601, 5759, 5591, 408, 13643, 2780, 22447, 20189, 5844, 12854, 408, 942, 17864, 5844, 12854, 2780, 11753, 2014, 33284, 1773, 16294, 1524, 2780, 2405, 45240, 19774, 1191, 3601, 408, 6271, 6445, 16192, 5629, 4831, 2174, 7413, 23037, 408, 5629, 4831, 2174, 7413, 12854, 568, 204, 0, 531, 10271, 532, 3207, 204, 204, 461, 1451, 68, 935, 13, 553, 68, 546, 31, 394, 14, 393, 3207, 1152, 443, 31, 204, 264, 320, 204, 264, 23763, 437, 752, 497, 273, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 1152, 443, 31, 334, 11771, 752, 17, 521, 443, 397, 275, 510, 353, 508, 1193, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 752, 497, 275, 800, 510, 832, 204, 268, 407, 3207, 19, 3664, 13, 553, 68, 546, 14, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 443, 204, 204, 461, 1814, 68, 633, 68, 17317, 13, 935, 31, 3207, 14, 393, 3207, 31, 204, 264, 320, 204, 264, 8109, 437, 752, 311, 8818, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 31, 334, 8818, 752, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1814, 1216, 311, 2652, 275, 752, 2291, 311, 379, 49, 12, 322, 17317, 14, 204, 264, 407, 752, 19, 6470, 611, 49, 534, 204, 204, 461, 7023, 68, 30382, 13, 935, 31, 3207, 17, 3442, 31, 421, 14, 393, 3207, 31, 204, 264, 320, 204, 264, 14312, 88, 275, 10420, 302, 437, 752, 560, 5465, 9685, 440, 1019, 5084, 273, 3442, 311, 4580, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 7023, 19, 204, 268, 3442, 322, 339, 330, 334, 3442, 700, 19, 204, 204, 264, 475, 31, 204, 268, 3207, 31, 334, 752, 440, 14201, 10420, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 917, 1216, 311, 3120, 273, 4464, 741, 311, 848, 6729, 292, 275, 752, 204, 264, 407, 752, 19, 1096, 13, 3605, 296, 31, 4580, 397, 296, 962, 3442, 902, 296, 14, 204, 204, 461, 2037, 68, 935, 13, 935, 31, 3207, 17, 1724, 31, 394, 289, 388, 3873, 431, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 437, 752, 440, 273, 800, 1724, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 3873, 330, 334, 752, 311, 2037, 19, 204, 268, 1724, 322, 325, 17, 1448, 330, 334, 1724, 302, 275, 752, 19, 1243, 311, 388, 3873, 2948, 204, 264, 320, 204, 264, 314, 1974, 275, 2248, 1216, 311, 2037, 275, 752, 204, 264, 752, 19, 2896, 13, 1778, 34, 1778, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 968, 275, 510, 832, 311, 275, 752, 204, 264, 510, 68, 546, 289, 379, 3162, 19, 4955, 12, 204, 615, 264, 314, 3594, 275, 752, 497, 275, 510, 832, 204, 264, 752, 289, 1451, 68, 935, 13, 553, 68, 546, 14, 204, 615, 264, 397, 752, 31, 204, 268, 314, 2208, 275, 752, 311, 8818, 204, 268, 8818, 68, 935, 289, 1814, 68, 633, 68, 17317, 13, 935, 14, 204, 822, 268, 314, 14312, 275, 10420, 302, 275, 8818, 752, 204, 268, 14201, 68, 17317, 68, 935, 289, 7023, 68, 30382, 13, 17317, 68, 935, 17, 5074, 14, 204, 822, 268, 314, 3740, 275, 14201, 8818, 752, 204, 268, 2037, 68, 935, 13, 29120, 68, 17317, 68, 935, 17, 388, 42043, 336, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 28518, 3782, 3207, 431, 204, 822, 268, 314, 3736, 275, 752, 1025, 1163, 1848, 6505, 204, 268, 1848, 68, 4588, 289, 752, 19, 1590, 374, 204, 822, 268, 314, 14312, 275, 10420, 302, 848, 1848, 3906, 204, 268, 14201, 68, 2640, 68, 4588, 289, 551, 16026, 68, 30382, 13, 4782, 17, 5074, 14, 348, 3906, 292, 1848, 68, 4588, 66, 204, 822, 268, 314, 3740, 848, 14201, 1848, 3906, 204, 268, 348, 296, 17, 3906, 292, 3209, 13, 29120, 68, 2640, 68, 4588, 330, 204, 305, 2037, 68, 935, 13, 4782, 17, 283, 7, 42043, 336, 8329, 18414, 463, 78, 16, 22, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 12082, 348, 275, 35874, 28811, 302, 12503, 28811, 9389, 204, 204, 1449, 1020, 275, 6414, 6795, 302, 273, 3700, 6795, 2364, 17, 572, 618, 732, 273, 2089, 1609, 523, 1582, 7156, 329, 1525, 7156, 19, 716, 204, 4377, 273, 6783, 440, 300, 2731, 17, 572, 618, 1173, 275, 7575, 525, 1283, 970, 2731, 448, 273, 12713, 1525, 357, 13, 78, 17, 781, 659, 1273, 357, 13, 78, 17, 781, 14, 353, 275, 7575, 525, 1283, 2731, 296, 329, 781, 19, 204, 204, 673, 3214, 311, 1020, 275, 6414, 6795, 1283, 970, 2731, 529, 448, 6353, 31, 204, 204, 22, 19, 666, 273, 1525, 502, 2457, 275, 1582, 17, 1273, 275, 667, 8166, 1842, 529, 275, 1066, 302, 830, 7575, 525, 523, 275, 1729, 1237, 11983, 560, 338, 22, 19, 204, 23, 19, 3182, 275, 1673, 1237, 329, 275, 1673, 1837, 302, 275, 1525, 311, 636, 275, 1525, 313, 19, 204, 24, 19, 888, 275, 14248, 302, 313, 17, 13772, 448, 1152, 57, 36879, 204, 25, 19, 4546, 275, 7575, 525, 357, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 440, 368, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 17, 13772, 448, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 368, 10808, 19, 204, 26, 19, 4546, 275, 7575, 525, 357, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 440, 500, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 17, 13772, 448, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 500, 10808, 19, 204, 27, 19, 334, 6414, 7575, 525, 501, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 353, 800, 560, 275, 2089, 31, 204, 204, 44, 13, 78, 17, 781, 14, 289, 1152, 57, 97, 802, 322, 97, 57, 13, 76, 13, 78, 17, 781, 14, 289, 368, 10808, 338, 1152, 57, 13, 76, 13, 78, 17, 781, 14, 289, 500, 10808, 14, 204, 204, 28, 19, 334, 6414, 6795, 361, 13, 78, 17, 781, 14, 1283, 2731, 296, 329, 781, 353, 800, 560, 275, 2089, 31, 204, 204, 55, 13, 78, 17, 781, 14, 289, 368, 802, 501, 13, 78, 17, 781, 14, 204, 204, 3070, 1763, 17, 2506, 273, 6783, 440, 681, 2731, 329, 275, 2631, 7575, 525, 1525, 31, 204, 204, 76, 13, 22, 17, 435, 14, 289, 368, 17, 357, 13, 22, 17, 571, 14, 289, 435, 17, 357, 13, 22, 17, 681, 14, 289, 571, 17, 357, 13, 23, 17, 571, 14, 289, 681, 17, 357, 13, 23, 17, 681, 14, 289, 720, 17, 357, 13, 24, 17, 681, 14, 289, 887, 204, 204, 673, 1525, 502, 2457, 275, 1582, 353, 31, 204, 204, 50, 289, 3168, 204, 204, 673, 1525, 313, 353, 8744, 560, 7057, 275, 1673, 1237, 329, 1837, 31, 204, 204, 57, 289, 3168, 204, 204, 673, 14248, 302, 313, 353, 1152, 57, 97, 289, 338, 4656, 27, 19, 204, 204, 1449, 1020, 275, 6414, 6795, 1283, 2731, 368, 329, 435, 17, 572, 4066, 357, 13, 22, 17, 435, 14, 440, 368, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 31, 204, 204, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 368, 10808, 289, 338, 4656, 27, 204, 204, 2310, 1425, 4066, 357, 13, 22, 17, 435, 14, 440, 500, 329, 949, 275, 14248, 302, 275, 717, 1525, 313, 31, 204, 204, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 500, 10808, 289, 338, 25, 2500, 204, 204, 673, 6414, 7575, 525, 501, 13, 22, 17, 435, 14, 353, 31, 204, 204, 44, 13, 22, 17, 435, 14, 289, 1152, 57, 97, 802, 322, 97, 57, 13, 76, 13, 22, 17, 435, 14, 289, 368, 10808, 338, 1152, 57, 13, 76, 13, 22, 17, 435, 14, 289, 500, 10808, 14, 289, 3457, 4656, 27, 14, 802, 36387, 4656, 27, 14, 338, 3457, 25, 2500, 602, 289, 38403, 20, 3268, 289, 681, 19, 23, 21062, 204, 204, 673, 6414, 6795, 361, 13, 22, 17, 435, 14, 353, 31, 204, 204, 55, 13, 22, 17, 435, 14, 289, 368, 802, 501, 13, 22, 17, 435, 14, 289, 368, 802, 681, 19, 23, 21062, 289, 500, 19, 3787, 9706, 204, 204, 24911, 17, 572, 618, 1020, 275, 6414, 6795, 1283, 904, 2731, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 24, 204, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 4778, 19, 2923, 532, 41311, 17, 3301, 39938, 204, 531, 4778, 532, 38698, 204, 647, 6280, 204, 647, 1875, 204, 647, 2454, 204, 647, 3238, 204, 204, 676, 16735, 4441, 13, 3295, 39938, 330, 204, 264, 320, 204, 264, 332, 2363, 3426, 824, 4713, 496, 32388, 311, 4559, 2164, 19, 204, 204, 264, 1532, 31, 204, 268, 443, 204, 204, 264, 10523, 31, 204, 268, 770, 68, 5016, 31, 5133, 4559, 2164, 560, 7553, 273, 2084, 958, 440, 275, 9571, 19, 204, 264, 320, 204, 204, 264, 436, 770, 68, 5016, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 4559, 2164, 560, 7553, 273, 2084, 958, 440, 275, 9571, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 2707, 958, 204, 305, 370, 19, 3345, 68, 1935, 13, 6654, 5330, 19, 7444, 14, 204, 305, 370, 19, 3345, 68, 4603, 611, 8334, 18, 932, 491, 379, 5580, 20, 1775, 534, 204, 305, 370, 19, 409, 68, 5093, 374, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 3123, 305, 314, 763, 275, 9571, 329, 838, 273, 958, 955, 204, 305, 9571, 289, 6280, 19, 1241, 374, 204, 305, 958, 68, 481, 289, 2552, 417, 597, 9571, 98, 204, 3123, 305, 314, 3400, 275, 958, 424, 311, 275, 919, 4457, 204, 305, 370, 19, 42482, 19, 2206, 13, 1775, 19, 7362, 13, 1935, 68, 481, 789, 4170, 611, 3102, 18, 29, 3063, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 329, 2566, 437, 908, 958, 204, 305, 370, 19, 3345, 68, 1935, 13, 6654, 5330, 19, 30684, 68, 12920, 68, 8252, 14, 204, 305, 370, 19, 3345, 68, 4603, 611, 8334, 18, 932, 491, 379, 492, 20, 17732, 534, 204, 305, 370, 19, 409, 68, 5093, 374, 204, 305, 370, 19, 42482, 19, 2206, 13, 75, 7, 596, 31, 463, 325, 13, 74, 14, 14303, 4170, 611, 3102, 18, 29, 3063, 204, 204, 461, 1523, 68, 2923, 13, 2463, 31, 394, 17, 2054, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 3426, 1981, 440, 275, 1713, 2442, 329, 2054, 19, 204, 204, 264, 457, 31, 204, 268, 2442, 322, 325, 330, 334, 2442, 311, 8523, 275, 1981, 311, 19, 204, 268, 2054, 322, 339, 330, 334, 2054, 311, 8523, 275, 1981, 311, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 1981, 1995, 927, 204, 264, 1981, 68, 2820, 289, 322, 2463, 17, 2054, 14, 204, 615, 264, 314, 666, 437, 3426, 1981, 1014, 204, 264, 41760, 289, 41311, 13, 2923, 68, 2820, 17, 16735, 4441, 14, 204, 615, 264, 810, 31, 204, 268, 314, 1198, 273, 943, 5850, 275, 1981, 353, 15620, 204, 268, 456, 13, 75, 7, 1218, 6533, 523, 463, 2463, 10829, 898, 29358, 204, 822, 268, 314, 4055, 275, 1981, 204, 268, 41760, 19, 15168, 68, 28861, 374, 204, 264, 827, 16797, 31, 204, 268, 314, 1426, 11245, 17346, 88, 329, 3671, 275, 1981, 3056, 204, 268, 41760, 19, 2794, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 437, 4601, 1732, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 6552, 437, 3426, 1981, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2463, 491, 1187, 34, 325, 17, 1540, 833, 7714, 491, 1340, 833, 673, 2442, 311, 8523, 275, 1981, 311, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 898, 491, 1187, 34, 339, 17, 1540, 34, 2169, 2169, 17, 1340, 833, 673, 2054, 311, 8523, 275, 1981, 311, 534, 204, 615, 264, 314, 2735, 275, 1354, 1007, 1906, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 615, 264, 314, 2466, 275, 1981, 204, 264, 1523, 68, 2923, 13, 1038, 19, 2463, 17, 2042, 19, 898, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 7173, 275, 1844, 329, 275, 1945, 798, 302, 275, 1581, 204, 673, 1844, 12692, 348, 275, 5372, 18, 9097, 798, 302, 273, 1007, 17, 928, 353, 800, 560, 469, 289, 14566, 465, 308, 17, 1273, 309, 353, 275, 5372, 329, 308, 353, 275, 469, 18, 9097, 19, 1785, 529, 800, 275, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 273, 917, 523, 275, 1007, 322, 25, 17, 435, 789, 204, 204, 658, 1687, 435, 31, 3291, 275, 5372, 18, 9097, 798, 974, 275, 800, 917, 329, 5372, 204, 1449, 1020, 275, 1581, 302, 275, 1007, 17, 572, 8776, 275, 800, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 275, 917, 322, 93, 289, 681, 17, 469, 289, 435, 14, 1025, 275, 5372, 18, 9097, 798, 19, 1058, 4658, 451, 435, 289, 322, 22, 20, 23, 3085, 25, 14, 465, 308, 19, 204, 204, 658, 1687, 571, 31, 6597, 348, 308, 17, 275, 469, 18, 9097, 204, 2310, 949, 322, 22, 20, 23, 3085, 25, 14, 289, 435, 19, 4087, 275, 1581, 6401, 435, 289, 435, 465, 308, 19, 2416, 2616, 348, 308, 17, 572, 5400, 435, 497, 1855, 2902, 302, 275, 1581, 17, 928, 4658, 451, 308, 289, 500, 19, 204, 204, 658, 1687, 681, 31, 3400, 275, 1581, 292, 5372, 18, 9097, 798, 204, 4063, 496, 572, 2379, 275, 5372, 322, 82, 289, 368, 20, 23, 14, 329, 275, 469, 18, 9097, 322, 71, 289, 500, 659, 572, 618, 2281, 275, 1581, 302, 275, 1007, 292, 5372, 18, 9097, 798, 31, 469, 289, 322, 22, 20, 23, 14, 93, 465, 500, 17, 928, 11388, 311, 469, 289, 322, 22, 20, 23, 14, 93, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 94, 289, 688, 1209, 96, 22, 1134, 23, 98, 93, 1617, 0, 676, 13392, 7131, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 3678, 1435, 424, 4147, 19, 204, 615, 264, 1532, 31, 204, 264, 1302, 322, 339, 330, 334, 1302, 302, 275, 3678, 1435, 19, 204, 264, 1435, 322, 655, 330, 332, 458, 2457, 275, 3678, 1435, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 886, 31, 458, 64, 339, 694, 393, 443, 31, 204, 268, 320, 204, 268, 977, 273, 3678, 1435, 440, 273, 800, 458, 302, 886, 19, 204, 822, 268, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 311, 1640, 292, 275, 3678, 1435, 19, 204, 268, 320, 204, 268, 314, 11420, 273, 2727, 542, 448, 275, 1302, 302, 275, 3678, 1435, 311, 14792, 19986, 204, 268, 370, 19, 835, 289, 1433, 25, 5839, 204, 268, 370, 19, 1867, 289, 551, 3170, 66, 540, 370, 19, 835, 204, 268, 314, 1974, 273, 1182, 19707, 3678, 741, 311, 5695, 19986, 204, 268, 348, 771, 292, 886, 31, 204, 305, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 305, 314, 1426, 19986, 560, 14460, 886, 292, 273, 458, 630, 275, 1729, 1112, 204, 305, 397, 370, 19, 1867, 64, 998, 66, 353, 443, 31, 204, 485, 370, 19, 1867, 64, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 998, 66, 289, 551, 920, 66, 204, 305, 902, 31, 204, 485, 370, 19, 1867, 64, 998, 1664, 1223, 13, 920, 14, 204, 204, 264, 436, 906, 4074, 13, 327, 17, 771, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 888, 275, 3678, 700, 302, 273, 542, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 949, 275, 3678, 700, 348, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 3678, 700, 302, 275, 542, 19, 204, 268, 320, 204, 268, 314, 1974, 273, 3277, 3678, 741, 348, 6893, 5356, 204, 268, 407, 421, 13, 920, 930, 368, 19, 26, 14, 1564, 370, 19, 835, 204, 204, 264, 436, 3192, 13, 327, 17, 771, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 273, 542, 353, 292, 275, 3678, 1435, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 1356, 19, 204, 822, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 542, 353, 292, 275, 3678, 1435, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 268, 314, 778, 397, 275, 542, 353, 292, 275, 458, 630, 275, 3392, 1112, 204, 268, 407, 771, 292, 370, 19, 1867, 64, 998, 66, 397, 370, 19, 1867, 64, 998, 66, 353, 508, 443, 902, 1078, 204, 204, 264, 436, 3142, 13, 327, 17, 771, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3182, 273, 542, 497, 275, 3678, 1435, 19, 204, 822, 268, 457, 31, 204, 268, 771, 322, 339, 330, 334, 542, 311, 3142, 19, 204, 268, 320, 204, 268, 1112, 289, 370, 806, 4074, 13, 920, 14, 204, 268, 314, 3182, 275, 542, 497, 275, 458, 630, 275, 3392, 1112, 204, 268, 397, 370, 19, 1867, 64, 998, 66, 353, 508, 443, 31, 204, 305, 370, 19, 1867, 64, 998, 66, 289, 551, 93, 348, 610, 292, 370, 19, 1867, 64, 998, 66, 397, 610, 2167, 771, 66, 204, 204, 264, 436, 1020, 68, 11867, 68, 15391, 68, 2626, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 1752, 275, 6726, 6920, 1767, 292, 275, 3678, 1435, 19, 204, 822, 268, 475, 31, 204, 268, 421, 31, 334, 1277, 302, 275, 6726, 6920, 1767, 19, 204, 268, 320, 204, 268, 846, 68, 1205, 289, 500, 204, 268, 314, 666, 273, 758, 302, 886, 292, 275, 3678, 1435, 348, 6184, 24312, 204, 268, 771, 68, 574, 289, 758, 374, 204, 268, 348, 6382, 292, 370, 19, 1867, 31, 204, 305, 397, 6382, 353, 508, 443, 31, 204, 485, 771, 68, 574, 19, 2045, 13, 7853, 14, 204, 822, 268, 348, 771, 292, 771, 68, 574, 31, 204, 305, 314, 778, 397, 275, 790, 542, 353, 275, 1012, 302, 273, 1767, 204, 305, 397, 771, 338, 368, 508, 292, 771, 68, 574, 31, 204, 485, 790, 68, 920, 289, 771, 204, 485, 790, 68, 1205, 289, 368, 204, 485, 1335, 790, 68, 920, 465, 368, 292, 771, 68, 574, 31, 204, 895, 790, 68, 920, 1412, 368, 204, 895, 790, 68, 1205, 1412, 368, 204, 485, 846, 68, 1205, 289, 846, 13, 1129, 68, 1205, 17, 790, 68, 1205, 14, 204, 268, 407, 846, 68, 1205, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 763, 537, 497, 275, 575, 204, 264, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 273, 458, 302, 886, 5289, 560, 5685, 31, 6165, 1590, 5887, 204, 264, 3678, 68, 1867, 289, 13392, 7131, 13, 1630, 14, 204, 264, 722, 289, 3678, 68, 1867, 19, 2269, 68, 11867, 68, 15391, 68, 2626, 374, 204, 264, 456, 499, 673, 1277, 302, 275, 6726, 6920, 1767, 353, 2180, 722, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 204, 8, 26552, 3454, 204, 676, 8187, 31, 204, 264, 320, 5346, 348, 7850, 1279, 204, 264, 346, 1889, 44, 10042, 289, 379, 2837, 76, 557, 12, 204, 264, 471, 26580, 9929, 1000, 289, 379, 336, 1637, 1333, 12, 204, 204, 676, 38738, 31, 204, 264, 320, 5346, 348, 424, 3003, 1279, 204, 264, 15201, 1318, 289, 379, 10640, 12, 204, 264, 471, 11186, 40, 4380, 289, 379, 25808, 12, 204, 264, 332, 9481, 31863, 8723, 289, 379, 4115, 5926, 12, 204, 204, 676, 10122, 37582, 44810, 31, 204, 264, 320, 5346, 348, 3585, 5926, 2630, 1279, 204, 264, 346, 1889, 44, 10042, 289, 3134, 9335, 68, 417, 528, 388, 6854, 528, 388, 672, 528, 388, 5670, 68, 14240, 68, 876, 1339, 204, 204, 8, 1594, 14360, 348, 848, 3226, 204, 46506, 68, 6355, 289, 463, 204, 264, 8187, 19, 21425, 44, 10042, 31, 463, 204, 268, 38738, 19, 45220, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 10598, 5831, 18, 2418, 23, 94, 19, 2039, 528, 204, 268, 38738, 19, 3185, 33387, 4380, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 76, 632, 72, 18, 5226, 75, 24, 19, 2039, 528, 204, 268, 38738, 19, 41442, 31863, 8723, 31, 388, 3189, 1963, 481, 19, 2837, 76, 557, 19, 1389, 20, 5433, 20, 5303, 34461, 18, 29675, 30, 93, 19, 2039, 528, 204, 264, 4752, 204, 264, 8187, 19, 3185, 50, 9929, 1000, 31, 463, 204, 268, 38738, 19, 45220, 31, 388, 3189, 1963, 481, 19, 336, 1637, 1333, 19, 1389, 20, 5433, 20, 16358, 33703, 18, 95, 91, 21805, 19, 2039, 7, 204, 264, 1211, 204, 98, 204, 204, 676, 1594, 42650, 31, 204, 264, 320, 204, 264, 4071, 424, 497, 275, 1713, 3226, 329, 424, 1187, 19, 204, 204, 264, 1532, 31, 204, 268, 3226, 68, 481, 322, 873, 330, 332, 955, 1174, 424, 5448, 348, 848, 3226, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3226, 68, 481, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 1594, 42650, 19, 204, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 457, 31, 204, 305, 3226, 68, 481, 322, 873, 330, 332, 955, 1174, 424, 5448, 348, 848, 3226, 19, 204, 268, 320, 204, 268, 370, 19, 5419, 68, 481, 289, 3226, 68, 481, 204, 204, 264, 436, 636, 68, 481, 13, 327, 17, 3226, 31, 394, 17, 424, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 4071, 424, 497, 275, 1713, 3226, 329, 424, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 3226, 322, 325, 330, 334, 3226, 311, 3686, 424, 497, 19, 204, 305, 424, 68, 932, 322, 325, 330, 334, 1187, 302, 424, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 8781, 424, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 424, 1977, 1583, 508, 1337, 348, 275, 1713, 3226, 329, 424, 1187, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1274, 348, 275, 1713, 3226, 329, 424, 1187, 204, 305, 1779, 289, 370, 19, 5419, 68, 481, 64, 5419, 1799, 481, 68, 932, 66, 204, 305, 314, 1606, 275, 2306, 424, 497, 275, 1274, 204, 305, 2349, 289, 1246, 19, 976, 68, 2039, 13, 805, 14, 204, 268, 827, 7323, 31, 204, 305, 314, 5149, 437, 908, 397, 275, 424, 1977, 1583, 508, 1337, 204, 305, 980, 987, 13, 75, 7, 989, 1977, 1583, 508, 1337, 348, 463, 481, 68, 932, 98, 292, 463, 5419, 743, 204, 204, 268, 407, 2349, 204, 204, 264, 436, 3106, 68, 4115, 68, 11382, 68, 481, 13, 327, 17, 2349, 31, 1246, 19, 1362, 17, 3226, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 25027, 275, 3585, 5926, 424, 560, 7057, 8557, 2630, 19, 204, 204, 268, 457, 31, 204, 305, 2349, 322, 2600, 19, 1362, 330, 334, 424, 311, 3106, 19, 204, 305, 3226, 322, 325, 330, 334, 3226, 275, 424, 353, 497, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 5872, 424, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 1837, 1987, 529, 2872, 348, 275, 1713, 3226, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 2630, 311, 3550, 348, 275, 1713, 3226, 204, 305, 397, 3226, 564, 8187, 19, 21425, 44, 10042, 31, 204, 485, 2630, 68, 633, 68, 11472, 289, 10122, 37582, 44810, 19, 21425, 44, 10042, 204, 305, 902, 31, 204, 485, 980, 987, 13, 75, 7, 1962, 3226, 31, 463, 5419, 743, 204, 305, 314, 763, 275, 2630, 311, 5790, 204, 305, 2630, 68, 633, 68, 5613, 289, 551, 72, 348, 279, 292, 2349, 19, 3786, 397, 279, 508, 292, 2630, 68, 633, 68, 11472, 66, 204, 305, 314, 9738, 275, 8557, 2630, 204, 305, 2349, 289, 2349, 19, 5613, 13, 3786, 68, 633, 68, 5613, 17, 3138, 34, 22, 14, 204, 268, 827, 7323, 31, 204, 305, 314, 5149, 437, 908, 397, 275, 1837, 1987, 529, 2872, 204, 305, 980, 987, 13, 75, 7, 1962, 1837, 1987, 348, 463, 5419, 98, 3585, 5926, 424, 431, 204, 204, 268, 407, 2349, 204, 204, 204, 676, 38982, 31, 204, 264, 320, 204, 264, 9506, 275, 8781, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 424, 68, 9362, 1826, 322, 989, 42650, 330, 334, 1594, 42650, 1014, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 68, 9362, 1826, 31, 1594, 42650, 330, 204, 268, 320, 204, 268, 1865, 275, 38982, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 9362, 1826, 322, 989, 42650, 330, 334, 1594, 42650, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 481, 68, 9362, 1826, 289, 424, 68, 9362, 1826, 204, 204, 264, 436, 1352, 68, 481, 13, 327, 17, 3226, 31, 394, 17, 424, 68, 932, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 4071, 329, 6332, 275, 424, 19, 204, 204, 268, 457, 31, 204, 305, 3226, 322, 325, 330, 334, 3226, 311, 3686, 424, 497, 19, 204, 305, 424, 68, 932, 322, 325, 330, 334, 1187, 302, 424, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 1246, 19, 1362, 31, 334, 4050, 424, 19, 204, 268, 320, 204, 268, 314, 4491, 275, 424, 204, 268, 2349, 289, 370, 19, 481, 68, 9362, 1826, 19, 505, 68, 481, 13, 5419, 17, 424, 68, 932, 14, 204, 204, 268, 314, 8414, 275, 3585, 5926, 424, 397, 3600, 204, 268, 397, 424, 68, 932, 564, 38738, 19, 41442, 31863, 8723, 31, 204, 305, 2349, 289, 370, 19, 481, 68, 9362, 1826, 19, 5614, 68, 4115, 68, 11382, 68, 481, 13, 1695, 17, 3226, 14, 204, 204, 268, 407, 2349, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 456, 499, 7820, 336, 2907, 431, 204, 264, 314, 666, 273, 1594, 42650, 1014, 204, 264, 424, 68, 9362, 1826, 289, 1594, 42650, 13, 46506, 68, 6355, 14, 204, 264, 314, 666, 273, 38982, 1014, 204, 264, 424, 68, 9306, 289, 38982, 13, 481, 68, 9362, 1826, 14, 204, 264, 314, 3325, 275, 3585, 5926, 424, 348, 3505, 76, 557, 204, 264, 2349, 289, 424, 68, 9306, 19, 1616, 68, 481, 13, 16693, 19, 21425, 44, 10042, 17, 38738, 19, 41442, 31863, 8723, 14, 204, 264, 397, 2349, 353, 508, 443, 31, 204, 268, 314, 1198, 275, 1043, 720, 3015, 302, 275, 4050, 424, 204, 268, 456, 13, 1695, 19, 1885, 13, 26, 602, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 3746, 27, 4701, 43, 532, 3746, 27, 4701, 43, 17, 3746, 8116, 17, 3746, 4912, 364, 34389, 270, 204, 531, 471, 48, 43, 532, 30747, 2129, 26155, 43, 204, 531, 11920, 17040, 532, 11920, 17040, 204, 531, 3204, 532, 540, 204, 204, 8, 4861, 204, 7043, 68, 20155, 289, 500, 19, 7585, 226, 314, 3331, 204, 23392, 28820, 68, 7043, 289, 2019, 226, 314, 3331, 204, 55, 3007, 23, 1557, 44, 289, 6449, 19, 21, 802, 645, 19, 1460, 204, 1557, 44, 23, 55, 3007, 289, 368, 802, 361, 3007, 23, 1557, 44, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 461, 9831, 68, 17957, 34389, 270, 13, 834, 68, 2290, 31, 818, 17, 4946, 68, 834, 31, 818, 14, 393, 927, 31, 204, 264, 320, 204, 264, 18712, 273, 23687, 34389, 270, 348, 273, 800, 690, 3155, 19, 204, 204, 264, 457, 31, 204, 264, 338, 690, 68, 2290, 322, 996, 330, 334, 690, 1660, 348, 275, 4946, 19, 204, 264, 338, 4946, 68, 834, 322, 996, 330, 334, 1113, 690, 348, 275, 4946, 19, 204, 204, 264, 475, 31, 204, 264, 338, 570, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 570, 19, 204, 264, 338, 3326, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 3326, 1561, 19, 204, 264, 320, 204, 264, 314, 13553, 690, 204, 264, 690, 68, 4593, 289, 421, 1802, 9945, 68, 834, 338, 500, 14, 802, 690, 68, 2290, 14, 465, 368, 204, 264, 690, 289, 645, 19, 11391, 13, 21, 17, 4946, 68, 834, 17, 771, 34, 834, 68, 4593, 14, 204, 204, 264, 314, 13553, 2012, 570, 204, 264, 570, 289, 3746, 27, 4701, 43, 13, 834, 68, 2290, 14, 204, 264, 3326, 289, 11920, 17040, 13, 834, 68, 2290, 14, 204, 204, 264, 314, 13553, 570, 6360, 204, 264, 570, 68, 4415, 68, 655, 289, 551, 204, 268, 379, 87, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 91, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 86, 68, 633, 49, 531, 39, 491, 204, 268, 379, 9220, 491, 204, 268, 379, 70, 68, 39, 92, 1644, 49, 4041, 39, 491, 204, 268, 379, 9220, 38126, 491, 204, 268, 379, 86, 68, 633, 39, 531, 49, 491, 204, 268, 379, 87, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 91, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 70, 68, 39, 92, 1644, 49, 4041, 49, 491, 204, 268, 379, 30934, 29151, 68, 633, 39, 531, 49, 491, 204, 268, 379, 30934, 29151, 491, 204, 264, 2437, 204, 264, 570, 68, 481, 289, 3746, 8116, 13, 809, 68, 4415, 68, 655, 17, 570, 14, 204, 204, 264, 3326, 68, 4415, 68, 655, 289, 551, 204, 268, 379, 773, 44960, 491, 204, 268, 379, 3825, 44960, 491, 204, 268, 379, 1949, 42, 18989, 491, 204, 268, 379, 1949, 44960, 491, 204, 268, 379, 40902, 491, 204, 268, 379, 5129, 31628, 491, 204, 268, 379, 86, 7183, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 18984, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 40597, 68, 633, 40, 531, 49, 491, 204, 268, 379, 86, 42, 18989, 491, 204, 268, 379, 86, 18984, 68, 633, 40, 531, 39, 491, 204, 268, 379, 86, 7183, 68, 633, 40, 531, 39, 491, 204, 264, 2437, 204, 264, 3326, 68, 481, 289, 3746, 8116, 13, 7025, 68, 4415, 68, 655, 17, 3326, 14, 204, 204, 264, 314, 7877, 23687, 34389, 270, 204, 264, 348, 690, 68, 2290, 292, 690, 31, 204, 268, 314, 1716, 3326, 204, 268, 3326, 19, 42256, 68, 7414, 289, 645, 19, 643, 1568, 21, 17, 368, 19, 21, 17, 368, 19, 21, 694, 204, 268, 3326, 19, 27547, 68, 7414, 289, 500, 19, 21, 540, 5370, 44, 23, 55, 3007, 204, 268, 9840, 289, 3326, 19, 2045, 13, 809, 17, 690, 68, 2290, 14, 204, 204, 268, 314, 1716, 2012, 1094, 204, 268, 570, 19, 2045, 13, 834, 68, 2290, 17, 690, 68, 2290, 17, 9840, 14, 204, 204, 268, 314, 6993, 424, 204, 268, 570, 68, 481, 19, 1223, 374, 204, 268, 3326, 68, 481, 19, 1223, 374, 204, 204, 264, 407, 570, 68, 481, 17, 3326, 68, 481, 204, 204, 461, 1807, 68, 481, 13, 809, 68, 481, 31, 3746, 8116, 17, 3326, 68, 481, 31, 3746, 8116, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 424, 497, 275, 570, 329, 3326, 1561, 19, 204, 204, 264, 457, 31, 204, 264, 338, 570, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 570, 19, 204, 264, 338, 3326, 68, 481, 322, 1655, 8116, 330, 334, 919, 424, 497, 275, 3326, 1561, 19, 204, 264, 320, 204, 264, 314, 666, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 13, 22, 17, 368, 17, 6635, 93, 34, 1021, 14, 204, 204, 264, 314, 3045, 424, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 21, 17, 24083, 379, 80, 491, 1800, 833, 86, 92, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 22, 17, 24083, 379, 87, 491, 1800, 833, 86, 93, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 23, 17, 24083, 379, 76, 491, 1800, 833, 86, 94, 534, 204, 264, 1711, 19, 1657, 13, 809, 68, 481, 19, 481, 736, 86, 68, 633, 49, 531, 39, 6970, 24, 17, 24083, 379, 71, 491, 1800, 833, 86, 95, 534, 204, 264, 1711, 19, 2700, 374, 204, 264, 1711, 19, 9042, 374, 204, 264, 1711, 19, 574, 68, 18222, 20791, 22, 19, 22, 17, 368, 19, 22, 694, 204, 264, 1711, 19, 574, 68, 7246, 611, 3103, 322, 88, 11953, 204, 264, 1711, 19, 574, 68, 7127, 611, 86, 68, 633, 49, 531, 39, 534, 204, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 570, 68, 481, 17, 3326, 68, 481, 289, 9831, 68, 17957, 34389, 270, 13, 7043, 68, 20155, 17, 39953, 28820, 68, 7043, 14, 204, 264, 1807, 68, 481, 13, 809, 68, 481, 17, 3326, 68, 481, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 1380, 17385, 742, 9533, 17914, 329, 13095, 21098, 204, 204, 3971, 3970, 10750, 16361, 204, 204, 22, 19, 13095, 13216, 353, 1376, 311, 7260, 2323, 10112, 329, 275, 10658, 2323, 3536, 19, 204, 23, 19, 37622, 21608, 618, 444, 1376, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 311, 1688, 2727, 3857, 19, 204, 204, 3971, 15195, 204, 204, 22, 19, 1752, 275, 10658, 2323, 3536, 302, 571, 329, 887, 19, 204, 262, 338, 12375, 31, 887, 204, 204, 23, 19, 1752, 275, 6862, 2323, 2479, 302, 571, 329, 887, 19, 204, 262, 338, 12375, 31, 571, 204, 204, 24, 19, 1752, 275, 14753, 302, 2905, 329, 4839, 19, 204, 262, 338, 12375, 31, 8178, 204, 204, 25, 19, 332, 3868, 302, 886, 874, 437, 14753, 302, 3528, 19, 2935, 2549, 275, 3868, 302, 886, 444, 36, 204, 262, 338, 34577, 6306, 31, 887, 329, 681, 17, 1132, 329, 571, 17, 1598, 329, 435, 17, 6623, 19, 204, 204, 26, 19, 2747, 23792, 5366, 496, 275, 14753, 302, 435, 2727, 886, 353, 1193, 560, 9137, 275, 2727, 886, 4430, 19, 4208, 808, 3597, 521, 7463, 36, 204, 262, 338, 12375, 31, 959, 204, 204, 3971, 14221, 23434, 204, 204, 22, 19, 10155, 292, 275, 20086, 31, 18923, 886, 448, 273, 36398, 302, 1017, 45964, 3857, 7894, 872, 311, 1020, 275, 10658, 2323, 3536, 19, 204, 262, 338, 12375, 31, 1351, 17, 2727, 204, 204, 23, 19, 3400, 3382, 448, 273, 1351, 302, 1163, 2727, 3857, 19, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 204, 204, 24, 19, 3400, 13451, 448, 273, 1351, 302, 1163, 2727, 3857, 19, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 1168, 204, 204, 25, 19, 10643, 4183, 4504, 275, 14753, 302, 3382, 329, 13451, 36, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 1168, 204, 204, 26, 19, 2935, 353, 275, 14753, 302, 3382, 329, 13451, 36, 204, 262, 338, 12375, 31, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 1168, 289, 29821, 0, 647, 2010, 448, 645, 204, 204, 461, 1967, 68, 7321, 68, 522, 68, 11190, 13, 935, 31, 645, 19, 766, 17, 1913, 68, 1735, 68, 5099, 31, 927, 17, 5533, 68, 1633, 68, 5099, 31, 927, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 7483, 273, 3618, 302, 3205, 497, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 268, 1913, 68, 1735, 68, 5099, 322, 2644, 330, 334, 1913, 18, 1735, 2992, 322, 94, 17, 610, 14, 302, 275, 3618, 19, 204, 268, 5533, 68, 1633, 68, 5099, 322, 2644, 330, 334, 5533, 18, 1633, 2992, 322, 94, 17, 610, 14, 302, 275, 3618, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4989, 3618, 302, 3205, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1913, 18, 1735, 2992, 529, 3114, 1194, 275, 5533, 18, 1633, 2992, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1913, 18, 1735, 2992, 529, 508, 3114, 1194, 275, 5533, 18, 1633, 2992, 204, 264, 397, 1913, 68, 1735, 68, 5099, 64, 21, 66, 1323, 5533, 68, 1633, 68, 5099, 64, 21, 66, 521, 1913, 68, 1735, 68, 5099, 64, 22, 66, 1323, 5533, 68, 1633, 68, 5099, 64, 22, 744, 204, 268, 980, 987, 499, 11889, 18, 1735, 2992, 2950, 444, 3114, 1194, 5533, 18, 1633, 2992, 431, 204, 204, 264, 314, 1986, 275, 3618, 302, 3205, 974, 12913, 1348, 16880, 204, 264, 3618, 68, 522, 68, 11190, 289, 752, 64, 2723, 68, 1735, 68, 5099, 64, 21, 744, 10568, 68, 1633, 68, 5099, 64, 21, 648, 1913, 68, 1735, 68, 5099, 64, 22, 744, 10568, 68, 1633, 68, 5099, 64, 22, 2629, 204, 204, 264, 407, 3618, 68, 522, 68, 11190, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 752, 204, 264, 752, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 1607, 14, 204, 204, 264, 314, 968, 275, 1913, 18, 1735, 329, 5533, 18, 1633, 2992, 204, 264, 1913, 68, 1735, 68, 5099, 289, 322, 1003, 17, 931, 14, 204, 264, 5533, 68, 1633, 68, 5099, 289, 322, 1719, 17, 2753, 14, 204, 204, 264, 314, 1986, 275, 3618, 302, 3205, 204, 264, 3618, 68, 522, 68, 11190, 289, 1967, 68, 7321, 68, 522, 68, 11190, 13, 935, 17, 1913, 68, 1735, 68, 5099, 17, 5533, 68, 1633, 68, 5099, 14, 204, 204, 264, 314, 1198, 275, 2665, 302, 275, 4989, 3618, 204, 264, 456, 13, 7321, 68, 522, 68, 11190, 19, 1827, 14, 204, 0, 531, 1804, 532, 1804, 17, 8351, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 676, 501, 3738, 20794, 2513, 989, 42650, 31, 204, 264, 436, 589, 924, 889, 327, 17, 14767, 68, 2602, 17, 14430, 817, 70, 68, 29334, 17, 25244, 68, 453, 24876, 17, 14430, 817, 70, 68, 76, 324, 17, 716, 1095, 636, 68, 531, 68, 453, 24876, 31, 394, 17, 636, 68, 531, 68, 76, 324, 31, 394, 17, 794, 986, 68, 266, 68, 2375, 31, 394, 17, 716, 1095, 8351, 68, 4936, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 501, 3738, 22948, 424, 4822, 419, 19, 204, 204, 268, 457, 31, 204, 268, 338, 14767, 68, 2602, 31, 332, 741, 311, 7087, 273, 7450, 1727, 19, 204, 268, 338, 14430, 817, 70, 68, 29334, 322, 1218, 330, 332, 458, 302, 30028, 817, 70, 25244, 5448, 19, 204, 268, 338, 25244, 68, 453, 24876, 322, 1218, 330, 332, 458, 302, 25244, 41914, 63, 5448, 19, 204, 268, 338, 14430, 817, 70, 68, 76, 324, 322, 1218, 330, 332, 458, 302, 30028, 817, 70, 501, 3738, 5448, 19, 204, 268, 338, 636, 68, 531, 68, 453, 24876, 322, 325, 330, 332, 5168, 311, 3686, 424, 497, 41914, 63, 19, 204, 268, 338, 636, 68, 531, 68, 76, 324, 322, 325, 330, 332, 5168, 311, 3686, 424, 497, 501, 3738, 19, 204, 268, 338, 794, 986, 68, 266, 68, 2375, 322, 325, 330, 332, 5168, 311, 2281, 424, 311, 1860, 19, 204, 268, 338, 8351, 68, 4936, 322, 339, 330, 334, 542, 302, 3054, 348, 275, 690, 6189, 19, 204, 268, 320, 204, 268, 370, 19, 8946, 68, 2602, 289, 14767, 68, 2602, 204, 268, 370, 19, 13958, 817, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 70, 68, 29334, 289, 14430, 817, 70, 68, 29334, 204, 268, 370, 19, 29334, 68, 453, 24876, 289, 25244, 68, 453, 24876, 204, 268, 370, 19, 13958, 817, 70, 68, 76, 324, 289, 14430, 817, 70, 68, 76, 324, 204, 268, 370, 19, 505, 68, 531, 68, 453, 24876, 289, 636, 68, 531, 68, 453, 24876, 204, 268, 370, 19, 505, 68, 531, 68, 76, 324, 289, 636, 68, 531, 68, 76, 324, 204, 268, 370, 19, 350, 986, 68, 266, 68, 2375, 289, 794, 986, 68, 266, 68, 2375, 204, 268, 370, 19, 15392, 68, 4936, 289, 8351, 68, 4936, 204, 204, 264, 436, 3686, 68, 76, 324, 68, 31404, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4071, 501, 3738, 22948, 424, 497, 7450, 329, 30028, 817, 70, 1893, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 977, 275, 30028, 817, 70, 1893, 11234, 204, 268, 370, 806, 9462, 68, 13958, 817, 70, 68, 2005, 68, 13953, 374, 204, 204, 268, 314, 4491, 424, 497, 7450, 204, 268, 3599, 289, 370, 19, 8946, 68, 2602, 374, 204, 268, 1484, 289, 370, 806, 3751, 68, 8946, 68, 2120, 374, 204, 268, 11115, 289, 370, 806, 3751, 68, 8946, 68, 18970, 374, 204, 268, 1040, 68, 5711, 289, 500, 204, 268, 1875, 68, 1300, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 7450, 1484, 1563, 204, 268, 348, 1184, 68, 1300, 292, 3599, 19, 2269, 13, 2120, 17, 11115, 330, 204, 305, 1040, 68, 5711, 1412, 368, 204, 305, 810, 31, 204, 485, 314, 4347, 275, 25244, 542, 204, 485, 771, 68, 522, 68, 29334, 289, 370, 19, 29334, 68, 453, 24876, 19, 998, 13, 1271, 68, 1300, 736, 71, 7795, 2533, 4729, 4976, 53, 2701, 63, 2378, 204, 305, 827, 987, 31, 204, 485, 771, 68, 522, 68, 29334, 289, 2958, 204, 204, 305, 314, 4491, 424, 497, 30028, 817, 70, 1893, 204, 305, 1184, 68, 1300, 289, 370, 806, 16988, 68, 481, 68, 531, 68, 13958, 817, 70, 68, 2005, 13, 1271, 68, 1300, 17, 771, 68, 522, 68, 29334, 14, 204, 204, 305, 314, 3400, 424, 311, 510, 397, 1945, 204, 305, 397, 370, 19, 350, 986, 68, 266, 68, 2375, 564, 379, 10897, 597, 204, 485, 370, 19, 2206, 68, 481, 68, 266, 68, 553, 13, 1271, 68, 1300, 17, 771, 68, 522, 68, 29334, 14, 204, 204, 268, 456, 13, 75, 12, 6425, 2164, 31, 463, 765, 68, 5711, 3501, 204, 204, 264, 436, 906, 9462, 68, 13958, 817, 70, 68, 2005, 68, 13953, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 30028, 817, 70, 1893, 11234, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 977, 275, 30028, 817, 70, 1893, 11234, 348, 41914, 63, 329, 501, 3738, 204, 268, 370, 19, 2923, 68, 2005, 68, 453, 24876, 289, 551, 38551, 817, 70, 10254, 13, 327, 19, 13958, 817, 70, 68, 29334, 64, 78, 694, 348, 296, 292, 933, 13, 1796, 13, 327, 19, 29334, 68, 453, 24876, 14, 338, 368, 2395, 204, 268, 370, 19, 2923, 68, 2005, 68, 76, 324, 289, 551, 38551, 817, 70, 10254, 13, 327, 19, 13958, 817, 70, 68, 76, 324, 64, 21, 19094, 204, 204, 264, 436, 906, 3751, 68, 8946, 68, 2120, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 12781, 275, 7450, 1484, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 2457, 275, 7450, 1484, 19, 204, 268, 320, 204, 268, 3303, 834, 289, 1804, 19, 1520, 374, 204, 268, 407, 463, 204, 305, 379, 1835, 597, 379, 8289, 89, 2083, 16231, 491, 204, 305, 379, 13892, 36465, 19, 767, 1449, 6895, 8177, 597, 443, 17, 204, 305, 379, 2391, 8673, 3713, 597, 40366, 10477, 597, 322, 1520, 834, 338, 8351, 13, 4936, 34, 327, 19, 15392, 68, 4936, 39403, 204, 268, 1211, 204, 204, 264, 436, 906, 3751, 68, 8946, 68, 18970, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 12781, 275, 7450, 11115, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 2457, 275, 7450, 11115, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 10151, 359, 597, 368, 17, 204, 305, 379, 7321, 597, 368, 17, 204, 305, 379, 76, 324, 5619, 2862, 4290, 597, 368, 17, 204, 305, 379, 1835, 597, 368, 17, 204, 305, 379, 13892, 36465, 597, 368, 17, 204, 305, 379, 71, 7795, 2533, 4729, 19, 53, 2701, 63, 597, 368, 17, 204, 305, 379, 2391, 8673, 3713, 597, 368, 204, 268, 1211, 204, 204, 264, 436, 906, 16988, 68, 481, 68, 531, 68, 13958, 817, 70, 68, 2005, 13, 327, 17, 1184, 68, 1300, 31, 1061, 17, 771, 68, 522, 68, 29334, 31, 421, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 4071, 424, 497, 275, 30028, 817, 70, 1893, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1184, 68, 1300, 322, 1665, 330, 334, 1184, 722, 497, 7450, 19, 204, 268, 338, 771, 68, 522, 68, 29334, 322, 339, 330, 334, 25244, 542, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2908, 1184, 722, 440, 424, 497, 30028, 817, 70, 1893, 19, 204, 268, 320, 204, 268, 397, 370, 19, 505, 68, 531, 68, 453, 24876, 564, 379, 10897, 597, 204, 305, 636, 68, 6961, 68, 2005, 289, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 1664, 505, 68, 1775, 68, 1849, 13, 204, 485, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 1664, 505, 68, 2036, 68, 2005, 13, 1271, 68, 1300, 28357, 359, 11028, 204, 485, 379, 453, 24876, 68, 76, 324, 12, 204, 305, 1179, 204, 305, 1184, 68, 1300, 736, 53, 2701, 63, 839, 289, 636, 68, 6961, 68, 2005, 204, 268, 397, 370, 19, 505, 68, 531, 68, 76, 324, 564, 379, 10897, 597, 204, 305, 636, 68, 6961, 68, 2005, 68, 76, 324, 289, 370, 19, 2923, 68, 2005, 68, 453, 24876, 64, 920, 68, 522, 68, 29334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1664, 505, 68, 1775, 68, 1849, 13, 204, 485, 370, 19, 2923, 68, 2005, 68, 76, 324, 64, 21, 1664, 505, 68, 2036, 68, 2005, 13, 1271, 68, 1300, 736, 76, 324, 5619, 2862, 4290, 11028, 204, 485, 5607, 204, 305, 1179, 204, 305, 1184, 68, 1300, 736, 44, 3738, 839, 289, 636, 68, 6961, 68, 2005, 68, 76, 324, 204, 268, 407, 1184, 68, 1300, 204, 204, 264, 436, 2281, 68, 481, 68, 266, 68, 553, 13, 327, 17, 1184, 68, 1300, 31, 1061, 17, 771, 68, 522, 68, 29334, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10515, 424, 311, 273, 510, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1184, 68, 1300, 322, 1665, 330, 334, 1184, 722, 311, 2281, 311, 275, 510, 19, 204, 268, 338, 771, 68, 522, 68, 29334, 322, 339, 330, 334, 25244, 542, 19, 204, 204, 268, 475, 31, 204, 268, 338, 443, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2281, 424, 311, 273, 510, 204, 268, 1879, 204, 0, 5399, 529, 275, 970, 3490, 440, 275, 8557, 3576, 5748, 31, 204, 204, 777, 7232, 368, 777, 204, 204, 3661, 1743, 2514, 64, 24, 13110, 23, 1617, 444, 275, 2318, 6871, 1610, 302, 435, 19, 11328, 275, 758, 686, 38, 289, 21700, 70, 465, 308, 65, 2514, 64, 24, 13110, 23, 98, 465, 279, 65, 2514, 64, 24, 13110, 25, 98, 1152, 273, 17, 308, 17, 279, 688, 492, 96, 529, 1892, 2277, 1617, 302, 2318, 886, 19, 716, 204, 28967, 275, 2631, 741, 496, 5178, 970, 10542, 886, 686, 93, 22, 17, 610, 23, 9, 448, 1906, 329, 2584, 1017, 1351, 19, 204, 204, 3691, 72, 204, 932, 461, 3130, 463, 204, 264, 421, 273, 17, 308, 17, 279, 32, 802, 15, 2646, 273, 465, 308, 540, 5900, 64, 24, 13281, 23, 14, 465, 279, 540, 5900, 64, 24, 13281, 25, 14, 540, 20, 204, 98, 10542, 4290, 32, 204, 204, 35865, 4290, 10542, 1560, 73, 13, 35865, 4290, 610, 22, 17, 10542, 4290, 610, 23, 14, 463, 204, 264, 802, 15, 3221, 2558, 540, 20, 204, 264, 421, 273, 289, 610, 22, 19, 70, 540, 610, 23, 19, 70, 465, 435, 540, 610, 22, 19, 71, 540, 610, 23, 19, 72, 465, 435, 540, 610, 22, 19, 72, 540, 610, 23, 19, 71, 32, 204, 264, 421, 308, 289, 610, 22, 19, 70, 540, 610, 23, 19, 71, 465, 610, 22, 19, 71, 540, 610, 23, 19, 70, 465, 435, 540, 610, 22, 19, 72, 540, 610, 23, 19, 72, 32, 204, 264, 421, 279, 289, 610, 22, 19, 70, 540, 610, 23, 19, 72, 465, 610, 22, 19, 71, 540, 610, 23, 19, 71, 465, 610, 22, 19, 72, 540, 610, 23, 19, 70, 32, 204, 264, 10542, 4290, 722, 289, 463, 70, 17, 308, 17, 279, 16258, 204, 264, 407, 722, 32, 204, 98, 204, 3691, 204, 204, 777, 7232, 435, 777, 204, 204, 38, 4554, 869, 686, 83, 9, 12372, 27368, 686, 21, 17, 368, 17, 688, 19315, 17, 300, 18, 22, 2176, 11328, 275, 686, 83, 688, 2760, 300, 9, 1525, 686, 50, 2176, 334, 686, 78, 17, 781, 16909, 427, 2901, 302, 686, 50, 9, 353, 368, 397, 1422, 353, 273, 11304, 1283, 4308, 686, 78, 9, 329, 4308, 686, 79, 9, 32, 490, 353, 500, 2130, 19, 716, 204, 28967, 275, 2631, 741, 311, 2616, 808, 27071, 1844, 19, 204, 204, 3691, 72, 204, 339, 4851, 13, 339, 502, 64, 1799, 5605, 19719, 648, 421, 300, 17, 421, 2787, 17, 421, 376, 14, 463, 204, 264, 421, 540, 14049, 289, 322, 339, 540, 14, 10443, 1229, 13, 83, 540, 1302, 522, 13, 339, 23810, 204, 264, 421, 540, 633, 37910, 289, 322, 339, 540, 14, 10443, 1229, 13, 83, 540, 1302, 522, 13, 339, 23810, 204, 264, 421, 296, 17, 781, 17, 1012, 17, 1136, 32, 204, 264, 348, 322, 78, 289, 500, 32, 296, 962, 300, 32, 39012, 78, 14, 4371, 64, 78, 66, 289, 500, 32, 204, 264, 4371, 64, 90, 66, 289, 368, 32, 204, 264, 311, 37910, 64, 21, 66, 289, 2787, 32, 1012, 289, 500, 32, 1136, 289, 368, 32, 204, 264, 1335, 322, 1530, 962, 1136, 14, 463, 204, 268, 296, 289, 311, 37910, 64, 1530, 12951, 39012, 1530, 32, 204, 268, 397, 322, 78, 564, 376, 14, 463, 204, 305, 4476, 13, 14049, 5224, 204, 305, 4476, 13, 633, 37910, 5224, 204, 305, 407, 368, 32, 204, 268, 1211, 204, 268, 348, 322, 79, 289, 500, 32, 781, 962, 300, 32, 39012, 79, 14, 463, 204, 305, 397, 322, 50, 64, 78, 1799, 79, 66, 564, 368, 19122, 4371, 64, 79, 66, 564, 500, 14, 463, 204, 485, 4371, 64, 79, 66, 289, 368, 32, 204, 485, 311, 37910, 64, 409, 66, 289, 781, 32, 204, 485, 39012, 409, 32, 204, 305, 1211, 204, 268, 1211, 204, 264, 1211, 204, 264, 4476, 13, 14049, 5224, 204, 264, 4476, 13, 633, 37910, 5224, 204, 264, 407, 500, 32, 204, 98, 204, 3691, 0, 647, 1804, 204, 647, 1361, 204, 647, 690, 204, 531, 1498, 532, 1535, 204, 204, 531, 3585, 86, 19, 1618, 19, 21795, 532, 19182, 204, 531, 3585, 86, 19, 1618, 19, 5714, 7676, 532, 28757, 1181, 204, 531, 3585, 86, 19, 13417, 19, 14423, 9482, 532, 3061, 271, 9482, 68, 13417, 204, 531, 3585, 86, 19, 13417, 19, 37676, 4115, 532, 27957, 4115, 68, 13417, 204, 204, 8, 666, 273, 2082, 1014, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 461, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 1976, 68, 834, 31, 1804, 19, 2664, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4347, 397, 3061, 271, 9482, 16545, 1856, 444, 8942, 1609, 523, 275, 790, 690, 19, 204, 204, 264, 334, 16545, 353, 8942, 397, 275, 790, 690, 353, 2614, 720, 4112, 302, 275, 2344, 1012, 19, 204, 204, 264, 457, 31, 204, 268, 790, 68, 834, 322, 2664, 19, 2664, 330, 334, 790, 690, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 3061, 271, 9482, 16545, 1856, 444, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8942, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 2344, 68, 1530, 289, 790, 68, 834, 19, 3834, 13, 7459, 34, 21, 17, 8054, 34, 21, 17, 1350, 34, 21, 17, 7203, 4397, 34, 21, 14, 204, 264, 407, 322, 1976, 68, 834, 338, 2344, 68, 1530, 789, 2609, 68, 6821, 374, 802, 3382, 962, 720, 204, 204, 461, 636, 68, 43573, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 1040, 302, 4337, 7676, 292, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1040, 302, 4337, 7676, 19, 204, 264, 320, 204, 264, 314, 6652, 28757, 1181, 19, 2120, 19, 765, 374, 353, 273, 1097, 1216, 311, 636, 275, 1040, 302, 4337, 7676, 204, 264, 407, 28757, 1181, 19, 2120, 19, 765, 374, 204, 204, 461, 636, 68, 9123, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 1040, 302, 15126, 292, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1040, 302, 15126, 19, 204, 264, 320, 204, 264, 314, 6652, 19182, 19, 2120, 19, 765, 374, 353, 273, 1097, 1216, 311, 636, 275, 1040, 302, 15126, 204, 264, 407, 19182, 19, 2120, 19, 765, 374, 204, 204, 461, 16545, 68, 14423, 9482, 68, 403, 68, 8262, 13, 6921, 68, 272, 3751, 68, 340, 8887, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 31905, 3061, 271, 9482, 397, 3600, 1609, 523, 275, 2955, 68, 272, 3751, 68, 340, 8887, 5168, 329, 275, 790, 690, 19, 204, 204, 264, 457, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 2955, 37957, 27952, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 790, 68, 834, 289, 1804, 19, 2664, 19, 1520, 374, 204, 264, 397, 2955, 68, 272, 3751, 68, 340, 8887, 521, 322, 6921, 68, 272, 3751, 68, 340, 8887, 353, 443, 329, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 1976, 68, 834, 4019, 204, 268, 3061, 271, 9482, 68, 13417, 374, 204, 204, 461, 16545, 68, 37676, 4115, 68, 403, 68, 8262, 13, 6593, 68, 403, 68, 4868, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 31905, 27957, 4115, 397, 3600, 1609, 523, 275, 1698, 68, 403, 68, 4868, 5168, 329, 275, 5722, 1040, 19, 204, 204, 264, 457, 31, 204, 268, 1698, 68, 403, 68, 4868, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 1698, 16545, 397, 1392, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 397, 508, 1698, 68, 403, 68, 4868, 521, 636, 68, 9123, 68, 765, 374, 564, 500, 31, 204, 268, 27957, 4115, 68, 13417, 374, 204, 204, 461, 2811, 68, 1618, 68, 13417, 13, 204, 264, 2955, 68, 272, 3751, 68, 340, 8887, 31, 1535, 64, 2107, 66, 289, 443, 17, 204, 264, 1698, 68, 403, 68, 4868, 31, 1535, 64, 2107, 66, 289, 443, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3055, 1094, 16545, 1609, 523, 275, 1917, 8725, 19, 204, 204, 264, 457, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 2955, 37957, 27952, 19, 1243, 311, 443, 19, 204, 268, 1698, 68, 403, 68, 4868, 322, 4437, 64, 2107, 648, 1448, 330, 18064, 311, 1698, 16545, 397, 1392, 19, 1243, 311, 443, 19, 204, 264, 320, 204, 264, 1012, 68, 834, 289, 690, 19, 21310, 68, 5951, 374, 204, 615, 264, 314, 763, 275, 1040, 302, 4337, 7676, 204, 264, 36459, 68, 765, 289, 636, 68, 43573, 68, 765, 374, 204, 615, 264, 314, 4347, 397, 572, 1856, 2955, 37957, 27952, 204, 264, 397, 1698, 68, 403, 68, 4868, 521, 36459, 68, 765, 564, 500, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 289, 36459, 68, 765, 564, 500, 204, 264, 1677, 2955, 68, 272, 3751, 68, 340, 8887, 353, 443, 31, 204, 268, 2955, 68, 272, 3751, 68, 340, 8887, 289, 1856, 68, 10403, 68, 14423, 9482, 68, 13417, 13, 2664, 19, 2664, 19, 1520, 1447, 204, 204, 264, 810, 31, 204, 268, 314, 3055, 3061, 271, 9482, 16545, 397, 3600, 204, 268, 16545, 68, 14423, 9482, 68, 403, 68, 8262, 13, 6921, 68, 272, 3751, 68, 340, 8887, 14, 204, 822, 268, 314, 3055, 27957, 4115, 16545, 397, 3600, 204, 268, 16545, 68, 37676, 4115, 68, 403, 68, 8262, 13, 6593, 68, 403, 68, 4868, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 1882, 275, 16545, 1352, 204, 268, 2082, 19, 718, 499, 596, 1882, 1094, 16545, 31, 1564, 88, 528, 318, 14, 204, 615, 264, 314, 888, 275, 5401, 302, 275, 16545, 1352, 204, 264, 5401, 289, 690, 19, 21310, 68, 5951, 374, 338, 1012, 68, 834, 204, 615, 264, 314, 4347, 275, 711, 1870, 1609, 523, 275, 5401, 204, 264, 711, 68, 2201, 289, 1361, 19, 8252, 397, 5401, 1323, 3382, 540, 720, 902, 1361, 19, 5142, 204, 615, 264, 314, 2175, 275, 13967, 302, 275, 16545, 1352, 204, 264, 2082, 19, 761, 13, 761, 68, 2201, 17, 388, 32397, 1094, 68, 13417, 292, 1564, 88, 3331, 528, 5401, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2811, 68, 1618, 68, 13417, 374, 204, 0, 1456, 2405, 15944, 13261, 28257, 18906, 2815, 3411, 1689, 3796, 408, 1254, 11572, 19043, 460, 4485, 1189, 32892, 568, 2857, 37902, 1456, 2405, 1191, 408, 30602, 15780, 460, 14330, 1189, 38458, 1926, 46632, 14959, 14157, 2729, 4045, 408, 2174, 24541, 2857, 3036, 3865, 3079, 17713, 2704, 408, 36589, 3451, 239, 1638, 7764, 8128, 45348, 3058, 5851, 2860, 1432, 3656, 7799, 2014, 10265, 28281, 3903, 9826, 725, 34682, 408, 17955, 43635, 14510, 22399, 568, 204, 1191, 4763, 2815, 21701, 226, 1984, 226, 40113, 4660, 8612, 47357, 10875, 2145, 118, 408, 2822, 33372, 3733, 19578, 10073, 568, 204, 4276, 9396, 2860, 9595, 12625, 408, 19233, 38692, 1432, 3359, 5463, 4298, 2844, 408, 6522, 7527, 239, 831, 25213, 568, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]