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

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 30708, 17, 19508, 1856, 3074, 4101, 508, 311, 23854, 1169, 302, 275, 19232, 17, 18183, 521, 4968, 3307, 292, 275, 618, 94, 271, 329, 444, 6430, 311, 3864, 719, 1877, 7105, 19, 3242, 11435, 11083, 43259, 7198, 29550, 5602, 3252, 302, 275, 21954, 43165, 17, 388, 44830, 490, 448, 490, 353, 19, 334, 10673, 874, 1742, 630, 1225, 523, 490, 17, 329, 1064, 618, 1698, 5080, 490, 19, 2935, 872, 618, 770, 353, 311, 3550, 490, 348, 1214, 2804, 17, 1214, 2804, 677, 2804, 17, 329, 348, 830, 1415, 3891, 1877, 872, 17, 448, 1051, 302, 275, 4382, 297, 1500, 928, 2589, 4719, 17, 397, 566, 618, 5886, 630, 830, 17, 1856, 3020, 3343, 0, 531, 1804, 532, 1489, 204, 204, 676, 6909, 31, 204, 264, 320, 204, 264, 2646, 273, 1874, 440, 273, 588, 329, 2523, 19, 204, 204, 264, 1532, 31, 204, 268, 3101, 68, 417, 322, 325, 330, 334, 1874, 677, 3101, 588, 19, 204, 268, 5251, 68, 2873, 322, 339, 330, 334, 1874, 677, 5251, 1324, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3101, 68, 417, 31, 394, 17, 5251, 68, 2873, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 6909, 726, 19, 204, 204, 268, 457, 31, 204, 305, 3101, 68, 417, 322, 325, 330, 334, 1874, 677, 3101, 588, 19, 204, 305, 5251, 68, 2873, 322, 339, 330, 334, 1874, 677, 5251, 1324, 19, 204, 268, 320, 204, 268, 370, 19, 5022, 68, 417, 289, 3101, 68, 417, 204, 268, 370, 19, 8521, 68, 2873, 289, 5251, 68, 2873, 204, 204, 264, 436, 2037, 68, 1270, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10616, 275, 1874, 677, 1483, 17, 2864, 1017, 588, 329, 2523, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 790, 68, 2873, 289, 1489, 19, 10388, 1528, 2873, 204, 268, 2523, 289, 790, 68, 2873, 338, 370, 19, 8521, 68, 2873, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 5022, 68, 417, 1522, 13995, 31, 463, 438, 743, 204, 204, 264, 436, 949, 68, 438, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1874, 677, 2523, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 790, 68, 2873, 289, 1489, 19, 10388, 1528, 2873, 204, 268, 407, 790, 68, 2873, 338, 370, 19, 8521, 68, 2873, 204, 204, 204, 676, 11262, 13, 11926, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 440, 273, 588, 17, 2523, 17, 329, 4703, 1222, 19, 204, 204, 264, 1532, 31, 204, 268, 4703, 68, 359, 322, 325, 330, 334, 4703, 677, 1222, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3101, 68, 417, 31, 394, 17, 5251, 68, 2873, 31, 421, 17, 4703, 68, 359, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 11262, 726, 19, 204, 204, 268, 457, 31, 204, 305, 3101, 68, 417, 322, 325, 330, 334, 4703, 677, 3101, 588, 19, 204, 305, 5251, 68, 2873, 322, 339, 330, 334, 4703, 677, 5251, 1324, 19, 204, 305, 4703, 68, 359, 322, 325, 330, 334, 4703, 677, 1222, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5022, 68, 417, 17, 5251, 68, 2873, 14, 204, 268, 370, 19, 8804, 68, 359, 289, 4703, 68, 359, 204, 204, 264, 436, 456, 68, 8804, 68, 1270, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 4703, 677, 1483, 17, 2864, 1017, 588, 17, 2523, 17, 329, 1222, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4703, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 2523, 289, 370, 19, 3446, 68, 438, 374, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 5022, 68, 417, 1522, 13995, 31, 463, 438, 1522, 11262, 1222, 31, 463, 327, 19, 8804, 68, 359, 743, 204, 204, 204, 676, 12199, 31, 204, 264, 320, 204, 264, 2646, 273, 6506, 440, 2986, 311, 881, 886, 19, 204, 264, 320, 204, 204, 264, 1642, 4460, 204, 264, 436, 881, 68, 1630, 7680, 1630, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 5276, 275, 1917, 886, 19, 204, 204, 268, 457, 31, 204, 305, 930, 1630, 322, 339, 330, 14839, 1906, 440, 1534, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1066, 302, 275, 1917, 886, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1066, 311, 500, 204, 268, 1113, 289, 500, 204, 268, 314, 1861, 1048, 275, 1917, 886, 329, 881, 1475, 311, 275, 1066, 204, 268, 348, 700, 292, 886, 19, 1309, 1293, 204, 305, 1113, 1412, 700, 204, 268, 407, 1113, 204, 204, 204, 461, 456, 68, 16532, 13, 16532, 31, 458, 64, 16928, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 458, 302, 4703, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 9700, 322, 655, 64, 16928, 1037, 332, 458, 302, 11262, 2828, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 9700, 329, 456, 1017, 1483, 204, 264, 348, 4703, 292, 9700, 31, 204, 268, 4703, 19, 2102, 68, 8804, 68, 1270, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 458, 302, 11262, 2828, 204, 264, 9700, 289, 551, 204, 268, 11262, 499, 49, 934, 10628, 43158, 528, 14667, 17, 388, 42, 7585, 3186, 204, 268, 11262, 499, 48, 45325, 43158, 528, 21078, 17, 388, 42, 22252, 3186, 204, 268, 11262, 499, 51, 4600, 43158, 528, 18663, 17, 388, 42, 28145, 431, 204, 264, 2437, 204, 204, 264, 314, 1198, 275, 4703, 1483, 204, 264, 456, 499, 16928, 10455, 2212, 204, 264, 456, 68, 16532, 13, 16532, 14, 204, 204, 264, 314, 666, 273, 6909, 726, 204, 264, 1874, 289, 6909, 499, 6192, 7358, 528, 14667, 14, 204, 204, 264, 314, 3740, 275, 1874, 677, 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, 1483, 204, 264, 456, 3273, 83, 11926, 10455, 2212, 204, 264, 1874, 19, 2994, 68, 1270, 374, 204, 204, 264, 314, 888, 275, 1874, 677, 2523, 204, 264, 2523, 289, 1874, 19, 3446, 68, 438, 374, 204, 264, 456, 13, 75, 7, 14167, 31, 463, 438, 743, 204, 204, 264, 314, 1255, 886, 974, 275, 12199, 850, 204, 264, 456, 3273, 83, 11287, 2212, 204, 264, 722, 289, 12199, 19, 826, 68, 1630, 13, 70, 34, 1003, 17, 308, 34, 1036, 17, 279, 34, 2188, 14, 204, 264, 456, 13, 75, 7, 7279, 31, 463, 1300, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 4377, 275, 741, 283, 13, 83, 14, 440, 2824, 1019, 31, 204, 204, 75, 13, 22, 14, 289, 463, 368, 7133, 571, 7133, 887, 1211, 204, 75, 13, 23, 14, 289, 463, 368, 7133, 720, 7133, 2958, 1211, 204, 75, 13, 24, 14, 289, 463, 435, 7133, 681, 7133, 887, 7133, 1132, 7133, 931, 1211, 204, 75, 13, 25, 14, 289, 463, 681, 7133, 720, 7133, 887, 7133, 1168, 7133, 1132, 1211, 204, 75, 13, 83, 14, 289, 392, 348, 300, 1323, 681, 204, 204, 2310, 1519, 311, 1020, 275, 758, 387, 289, 463, 300, 1152, 300, 12351, 74, 283, 13, 83, 14, 4752, 928, 3210, 275, 758, 302, 830, 886, 300, 1702, 496, 300, 353, 508, 437, 1103, 302, 283, 13, 83, 789, 204, 204, 1449, 1020, 387, 17, 572, 618, 1356, 848, 700, 302, 300, 31, 204, 204, 18, 4208, 368, 292, 283, 13, 22, 14369, 1358, 2214, 17, 754, 368, 353, 508, 292, 387, 19, 204, 18, 4208, 435, 292, 283, 13, 23, 14369, 12600, 17, 754, 435, 353, 292, 387, 19, 204, 18, 4208, 571, 292, 283, 13, 24, 14369, 12600, 17, 754, 571, 353, 292, 387, 19, 204, 18, 4208, 681, 292, 283, 13, 25, 14369, 1358, 2214, 17, 754, 681, 353, 508, 292, 387, 19, 204, 18, 1765, 300, 1323, 681, 17, 283, 13, 83, 14, 289, 392, 17, 928, 3210, 830, 886, 300, 1323, 681, 529, 292, 283, 13, 83, 659, 754, 1250, 529, 508, 292, 387, 19, 204, 204, 4356, 17, 275, 758, 387, 289, 463, 435, 7133, 571, 1211, 19, 0, 25, 2903, 26, 33733, 408, 1572, 2704, 2857, 3004, 8709, 38983, 2774, 17862, 26826, 3012, 41339, 1456, 568, 11423, 11962, 47183, 1111, 11225, 47947, 35107, 14510, 13376, 3235, 408, 18218, 47128, 1111, 14510, 27156, 9358, 23670, 10092, 19572, 17367, 2338, 17552, 15733, 2615, 408, 18218, 47128, 1111, 10654, 43904, 460, 11736, 3235, 408, 33213, 6122, 14510, 48148, 2891, 2299, 16302, 15615, 408, 5718, 1970, 14510, 48148, 4660, 725, 22119, 3151, 4034, 6510, 725, 12235, 4139, 22119, 1955, 6949, 16566, 16937, 460, 19765, 408, 31475, 4660, 15184, 1227, 11516, 408, 11148, 6366, 8461, 408, 10922, 1748, 10092, 1111, 14510, 3235, 15159, 568, 5718, 11605, 5335, 5949, 5659, 1984, 23179, 16338, 17427, 14510, 13376, 2065, 6463, 6142, 35558, 568, 7869, 12554, 408, 22424, 3235, 2494, 2433, 2499, 2774, 3429, 23324, 3590, 16338, 23412, 13376, 568, 24076, 24288, 39151, 5626, 3768, 568, 4525, 9228, 21266, 1251, 7763, 12836, 725, 38266, 1955, 6364, 408, 21204, 11058, 3064, 8128, 725, 12235, 725, 3903, 9826, 725, 14668, 725, 9934, 34387, 18925, 28333, 5626, 23933, 7118, 5452, 725, 7118, 23156, 408, 7533, 6233, 1740, 9817, 9903, 408, 10464, 13353, 20277, 2274, 18305, 14510, 48148, 568, 31736, 15035, 2094, 10464, 32015, 14510, 36830, 2615, 568, 16937, 29206, 16392, 3235, 6564, 41740, 14965, 725, 15234, 2730, 19563, 725, 3235, 7869, 725, 37721, 10378, 408, 35090, 6385, 14510, 26826, 18896, 36830, 2615, 408, 20587, 1689, 12554, 725, 29136, 12397, 10968, 18014, 568, 5335, 854, 11808, 21266, 5928, 2338, 34440, 568, 32684, 11808, 21266, 5928, 408, 24288, 921, 8145, 3875, 2338, 31269, 22660, 1191, 29206, 34440, 408, 10366, 49098, 23559, 1822, 725, 8215, 3476, 12397, 10968, 26826, 3012, 20861, 568, 6245, 854, 1748, 10092, 3235, 15159, 568, 1871, 3012, 11058, 13191, 11520, 408, 14487, 11058, 12397, 10968, 16262, 28002, 2148, 408, 35643, 2014, 3012, 1367, 3500, 14510, 5452, 3012, 20302, 3104, 115, 733, 261, 6810, 2653, 204, 0, 461, 838, 68, 1190, 68, 873, 13, 83, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2605, 273, 955, 1273, 275, 3583, 529, 886, 497, 368, 311, 300, 329, 275, 1019, 529, 275, 2415, 302, 275, 3583, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 440, 886, 448, 3583, 329, 1017, 5537, 448, 1019, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 974, 955, 6459, 204, 264, 314, 9076, 31, 334, 2171, 1576, 2080, 610, 930, 610, 928, 353, 508, 275, 2415, 302, 275, 542, 17, 716, 264, 314, 8023, 490, 677, 275, 542, 7514, 311, 275, 2347, 302, 5398, 19, 716, 264, 314, 8023, 382, 9314, 7716, 490, 311, 610, 930, 435, 311, 636, 275, 2415, 302, 275, 542, 19, 204, 264, 542, 68, 873, 289, 463, 93, 31, 610, 930, 435, 348, 610, 292, 933, 13, 22, 17, 300, 465, 368, 4150, 204, 264, 407, 542, 68, 873, 204, 204, 204, 461, 636, 68, 6418, 68, 4649, 68, 531, 68, 816, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3596, 273, 2140, 1534, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 332, 2140, 1534, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 542, 289, 421, 13, 768, 13, 4202, 602, 204, 305, 397, 542, 2186, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 542, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 537, 497, 275, 575, 204, 264, 542, 289, 636, 68, 6418, 68, 4649, 68, 531, 68, 816, 499, 2101, 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, 542, 31, 2810, 204, 204, 264, 314, 666, 329, 456, 275, 955, 204, 264, 542, 68, 873, 289, 838, 68, 1190, 68, 873, 13, 1190, 14, 204, 264, 456, 499, 17680, 33136, 542, 68, 873, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 204, 461, 5327, 68, 2819, 68, 3282, 13, 204, 264, 1104, 68, 2693, 31, 394, 289, 379, 5835, 19, 1479, 19, 15260, 19, 24871, 68, 27288, 23, 491, 204, 264, 1104, 68, 417, 31, 394, 289, 379, 603, 19744, 748, 491, 204, 264, 1104, 68, 816, 31, 394, 289, 379, 4159, 491, 204, 264, 1104, 68, 1989, 31, 394, 289, 443, 17, 204, 264, 1104, 68, 2463, 31, 394, 289, 8488, 204, 264, 1104, 68, 898, 31, 394, 289, 8488, 204, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 16927, 275, 1104, 2557, 348, 273, 5959, 2002, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 68, 2693, 322, 325, 330, 334, 1104, 3798, 311, 732, 322, 74, 19, 76, 2458, 379, 5835, 19, 1479, 19, 15260, 19, 24871, 68, 27288, 23, 3930, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 1104, 68, 816, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 1989, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 2463, 322, 325, 330, 334, 2442, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 898, 322, 325, 330, 334, 2054, 311, 732, 348, 275, 1104, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1135, 31, 332, 955, 1174, 275, 12770, 1104, 2557, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1104, 1482, 497, 275, 1964, 1554, 379, 3349, 68, 9778, 12, 397, 2755, 204, 264, 397, 1104, 68, 1989, 353, 443, 31, 204, 268, 1104, 68, 1989, 289, 1127, 19, 4969, 19, 505, 611, 3349, 68, 9778, 491, 379, 53, 4629, 4326, 534, 204, 204, 264, 314, 6153, 275, 1104, 2557, 204, 264, 1104, 68, 3282, 289, 463, 204, 268, 379, 2305, 597, 463, 204, 305, 314, 5496, 3798, 204, 305, 379, 30420, 597, 1104, 68, 2693, 17, 204, 305, 314, 5496, 588, 204, 305, 379, 3344, 597, 1104, 68, 417, 17, 204, 305, 314, 5496, 575, 204, 305, 379, 6520, 597, 1104, 68, 816, 17, 204, 305, 314, 5496, 1482, 204, 305, 379, 9778, 597, 1104, 68, 1989, 17, 204, 305, 314, 5496, 2442, 204, 305, 379, 8737, 597, 1104, 68, 2463, 17, 204, 305, 314, 5496, 2054, 204, 305, 379, 7660, 597, 1104, 68, 898, 17, 204, 268, 1211, 204, 264, 1211, 204, 204, 264, 407, 1104, 68, 3282, 204, 204, 461, 5327, 68, 4561, 68, 3607, 13, 4561, 31, 1109, 289, 959, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 16927, 275, 5344, 2291, 348, 273, 5959, 2002, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5344, 322, 2107, 330, 332, 8051, 5850, 3855, 5344, 2291, 1856, 444, 8905, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 334, 12770, 5344, 2291, 19, 204, 264, 320, 204, 264, 407, 5344, 204, 204, 461, 667, 1293, 204, 264, 314, 6153, 275, 1104, 2557, 204, 264, 1104, 68, 3282, 289, 5327, 68, 2819, 68, 3282, 374, 204, 204, 264, 314, 6153, 275, 5344, 2291, 204, 264, 5344, 68, 3607, 289, 5327, 68, 4561, 68, 3607, 374, 204, 204, 264, 314, 1198, 275, 12770, 2557, 204, 264, 456, 499, 7073, 15680, 2212, 204, 264, 456, 13, 2819, 68, 3282, 14, 204, 264, 456, 3273, 83, 31301, 18054, 2212, 204, 264, 456, 13, 4561, 68, 3607, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 39381, 31, 12775, 329, 12748, 17275, 14309, 204, 204, 45886, 6369, 8314, 273, 388, 1819, 311, 1085, 7, 3633, 17, 16379, 6249, 329, 16772, 8314, 273, 388, 1819, 311, 4835, 7, 3633, 19, 2416, 2616, 3726, 3490, 17, 490, 677, 14359, 311, 732, 273, 388, 6534, 2871, 7, 311, 34009, 4204, 275, 12134, 19, 204, 204, 1380, 24419, 1434, 273, 17275, 14851, 204, 204, 3070, 1763, 17, 800, 275, 3726, 302, 4757, 311, 4598, 292, 273, 850, 353, 571, 31, 23, 17, 572, 618, 758, 719, 273, 3726, 2871, 448, 6353, 31, 204, 204, 97, 18598, 1152, 16156, 1152, 7867, 1152, 17275, 1152, 204, 97, 4492, 1152, 4492, 1152, 4492, 1152, 4492, 1152, 204, 97, 571, 262, 1152, 435, 262, 1152, 720, 262, 1152, 571, 31, 23, 226, 1152, 204, 204, 1834, 2871, 6876, 451, 311, 8235, 2073, 3888, 1702, 448, 31, 204, 204, 15, 2935, 4628, 302, 275, 2459, 529, 4757, 36, 322, 24, 20, 26, 14, 204, 15, 2935, 2847, 302, 275, 2459, 529, 4598, 36, 322, 2169, 15408, 204, 15, 2935, 353, 275, 2634, 302, 16080, 273, 1064, 36, 322, 24, 20, 26, 14, 204, 204, 1380, 12748, 273, 501, 10196, 5434, 85, 5248, 204, 204, 3661, 677, 2506, 275, 2631, 1844, 31, 204, 204, 7, 673, 542, 302, 28386, 496, 1144, 533, 74, 329, 2439, 3554, 633, 2080, 1466, 292, 275, 3726, 720, 31, 24, 17, 8866, 19, 6917, 1144, 533, 74, 11278, 2439, 3554, 633, 931, 302, 2830, 28386, 17, 275, 3726, 302, 275, 542, 1144, 533, 74, 2080, 311, 275, 542, 2439, 3554, 633, 2080, 867, 1168, 31, 26, 19, 3242, 273, 722, 302, 808, 14520, 17, 1144, 533, 74, 2080, 1662, 1910, 1182, 28386, 1194, 2439, 3554, 633, 14581, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 444, 16957, 329, 16398, 19, 5486, 677, 1012, 560, 19028, 2075, 572, 3480, 311, 1020, 31, 1144, 533, 74, 677, 717, 542, 302, 28386, 13576, 2439, 3554, 633, 677, 717, 542, 302, 28386, 322, 48, 83, 338, 1346, 789, 204, 204, 2310, 618, 758, 719, 3779, 1609, 523, 275, 800, 12134, 329, 2616, 348, 275, 38206, 19, 204, 204, 3661, 677, 4627, 1144, 533, 74, 15975, 2080, 720, 93, 28386, 329, 2439, 3554, 633, 2080, 571, 93, 28386, 19, 6917, 1144, 533, 74, 11278, 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, 2439, 3554, 633, 931, 28386, 17, 1144, 533, 74, 2080, 720, 93, 338, 931, 28386, 329, 2439, 3554, 633, 2080, 571, 93, 465, 931, 28386, 19, 204, 204, 673, 717, 3726, 302, 1144, 533, 74, 677, 28386, 311, 2439, 3554, 633, 677, 28386, 353, 1168, 31, 26, 17, 754, 572, 618, 758, 719, 275, 1581, 31, 204, 204, 13, 26, 93, 338, 931, 14, 802, 322, 24, 93, 465, 931, 14, 289, 1168, 20, 26, 204, 204, 13766, 18, 40833, 329, 8565, 348, 610, 17, 572, 636, 31, 204, 204, 26, 13, 26, 93, 338, 931, 14, 289, 1168, 13, 24, 93, 465, 931, 14, 204, 1511, 93, 338, 2753, 289, 4839, 93, 465, 6787, 204, 25, 93, 289, 7219, 204, 93, 289, 2468, 204, 204, 4063, 572, 618, 1020, 1144, 533, 74, 677, 717, 542, 302, 28386, 329, 2439, 3554, 633, 677, 717, 542, 302, 28386, 31, 204, 204, 48, 533, 74, 677, 717, 28386, 31, 720, 93, 338, 931, 289, 720, 13, 2188, 14, 338, 931, 289, 7669, 338, 931, 289, 15274, 204, 3027, 3554, 633, 677, 717, 28386, 31, 571, 93, 465, 931, 289, 571, 13, 2188, 14, 465, 931, 289, 4950, 465, 931, 289, 1607, 204, 204, 18226, 17, 572, 618, 1020, 275, 2712, 1283, 1144, 533, 74, 677, 717, 542, 302, 28386, 329, 2439, 3554, 633, 677, 717, 542, 302, 28386, 31, 204, 204, 48, 83, 338, 1346, 289, 15274, 338, 1607, 289, 2846, 204, 204, 4356, 17, 1144, 533, 74, 2080, 2846, 1182, 28386, 1194, 2439, 3554, 633, 1877, 275, 14520, 19, 204, 204, 1380, 5565, 311, 5565, 329, 5565, 311, 30036, 39381, 204, 204, 45886, 6369, 618, 1425, 444, 1376, 311, 2616, 3490, 11939, 1085, 311, 4835, 8160, 19, 1765, 1763, 17, 800, 273, 7995, 348, 38870, 496, 7987, 348, 681, 3576, 3761, 89, 7144, 311, 1051, 1085, 19354, 17, 572, 618, 732, 12134, 311, 1020, 275, 1690, 302, 19354, 4331, 311, 1895, 720, 15861, 302, 38870, 19, 204, 204, 3661, 677, 4627, 275, 1113, 1690, 302, 38870, 353, 720, 15861, 17, 329, 572, 3480, 311, 1020, 275, 1690, 302, 19354, 4331, 19, 1785, 618, 758, 719, 273, 3726, 2871, 448, 6353, 31, 204, 204, 97, 10431, 89, 7144, 1152, 32949, 623, 1152, 7867, 1152, 204, 97, 4492, 1152, 4492, 1152, 4492, 1152, 204, 97, 681, 262, 1152, 368, 262, 1152, 720, 262, 1152, 204, 204, 4592, 275, 1113, 1690, 302, 38870, 353, 720, 15861, 17, 572, 618, 3948, 719, 275, 3726, 311, 1020, 275, 1690, 302, 19354, 4331, 31, 204, 204, 22, 23049, 289, 7569, 16594, 17, 754, 720, 15861, 289, 720, 610, 7569, 289, 27123, 16594, 204, 204, 2310, 618, 758, 719, 273, 5945, 311, 1020, 275, 1690, 302, 19354, 4331, 31, 204, 204, 22, 20, 26, 289, 610, 20, 24983, 204, 93, 289, 7569, 16594, 204, 204, 4592, 572, 3480, 311, 1020, 275, 542, 302, 1132, 18, 84, 9532, 30918, 302, 19354, 4331, 17, 572, 618, 3281, 275, 1113, 1690, 302, 19354, 4331, 560, 1132, 31, 204, 204, 7489, 16594, 802, 1132, 16594, 20, 4453, 289, 2247, 30918, 204, 204, 4356, 17, 6901, 5252, 2247, 30918, 302, 19354, 311, 1895, 720, 15861, 302, 38870, 19, 0, 647, 2010, 448, 645, 204, 204, 8, 968, 3324, 1019, 204, 6433, 68, 22182, 289, 379, 40, 30495, 12, 204, 6433, 68, 47336, 289, 1233, 7992, 204, 6433, 68, 7043, 68, 5200, 289, 368, 9952, 204, 6433, 68, 16423, 68, 47619, 289, 379, 41, 12, 204, 6433, 68, 11595, 61, 6906, 289, 720, 19, 26, 204, 204, 461, 1137, 68, 2305, 68, 417, 655, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1540, 588, 655, 19, 22865, 1856, 9749, 329, 10393, 808, 348, 273, 2707, 1523, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 1540, 588, 655, 19, 204, 264, 320, 204, 615, 264, 314, 968, 275, 1540, 588, 655, 204, 264, 588, 655, 289, 463, 204, 268, 379, 3075, 597, 8719, 68, 22182, 17, 204, 268, 379, 21534, 597, 8719, 68, 47336, 17, 204, 268, 379, 834, 597, 8719, 68, 7043, 68, 5200, 17, 226, 314, 292, 16169, 17, 348, 13471, 204, 268, 379, 8424, 597, 379, 19281, 491, 204, 822, 268, 314, 28337, 2072, 204, 268, 379, 9409, 597, 463, 204, 305, 379, 660, 68, 1849, 597, 8719, 68, 16423, 68, 47619, 17, 204, 305, 379, 39, 3399, 597, 8719, 68, 11595, 61, 6906, 17, 204, 268, 4752, 204, 822, 268, 314, 7739, 8364, 2139, 2072, 204, 268, 379, 4041, 8364, 68, 3112, 597, 463, 204, 305, 379, 10906, 597, 443, 17, 226, 314, 1308, 435, 41, 1348, 523, 13714, 68, 3112, 68, 834, 329, 13714, 68, 3112, 68, 23152, 760, 28080, 204, 305, 379, 834, 597, 443, 17, 716, 305, 379, 23152, 760, 597, 443, 17, 204, 268, 4752, 204, 822, 268, 314, 5898, 2914, 311, 16549, 2139, 204, 268, 379, 3112, 68, 4018, 597, 463, 204, 305, 379, 2435, 68, 266, 597, 500, 19, 21, 17, 226, 314, 9662, 18216, 1613, 10321, 497, 5999, 8042, 397, 27935, 1855, 289, 500, 204, 305, 379, 2435, 68, 607, 597, 500, 19, 21, 17, 615, 305, 379, 2507, 68, 74, 59, 597, 571, 19, 21, 17, 226, 314, 1698, 4331, 397, 2139, 68, 2435, 68, 266, 34, 3112, 68, 2435, 68, 607, 34, 21, 19, 21, 204, 305, 379, 4202, 68, 272, 10636, 68, 8530, 597, 1078, 17, 204, 305, 379, 30709, 21, 597, 368, 74, 16, 3699, 17, 204, 305, 379, 3112, 68, 932, 597, 379, 5491, 491, 716, 305, 379, 3112, 68, 553, 597, 443, 17, 226, 314, 1945, 397, 2139, 68, 932, 833, 553, 12, 204, 305, 379, 3112, 68, 3912, 68, 607, 68, 24767, 6340, 597, 368, 19, 21, 17, 226, 314, 2139, 1759, 292, 3179, 497, 48468, 8117, 204, 268, 4752, 204, 822, 268, 314, 480, 7003, 17941, 570, 17, 1698, 1376, 397, 2139, 68, 932, 833, 13041, 427, 68, 49, 7003, 12, 204, 268, 379, 49, 7003, 597, 463, 204, 305, 379, 83, 68, 16745, 597, 368, 74, 16, 2132, 17, 204, 305, 379, 89, 68, 10561, 597, 368, 19, 9769, 17, 204, 305, 379, 89, 68, 14345, 597, 500, 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, 36928, 17, 204, 305, 379, 89, 68, 1530, 597, 500, 19, 21, 204, 268, 4752, 204, 822, 268, 314, 313, 12524, 2072, 204, 268, 379, 35659, 597, 463, 204, 305, 379, 5144, 68, 21576, 597, 645, 19, 643, 1568, 22, 19, 19480, 17, 368, 19, 5060, 204, 305, 379, 5144, 68, 1530, 597, 645, 19, 643, 1568, 22, 74, 18, 26, 17, 500, 19, 7585, 5060, 204, 305, 379, 4593, 68, 558, 68, 10057, 597, 645, 19, 643, 1568, 22, 17, 368, 5060, 204, 305, 379, 2760, 597, 645, 19, 643, 1568, 21, 2458, 500, 19, 22, 694, 204, 268, 4752, 204, 822, 268, 314, 10612, 464, 2333, 2072, 204, 268, 379, 42993, 68, 2700, 597, 463, 204, 305, 379, 48, 597, 887, 19, 21, 17, 204, 305, 379, 3499, 68, 16228, 597, 435, 19, 21, 17, 204, 305, 379, 836, 278, 68, 511, 1039, 276, 597, 3139, 19, 21, 17, 204, 305, 379, 836, 278, 68, 8304, 597, 500, 19, 26, 17, 204, 305, 379, 7885, 68, 21, 597, 500, 19, 24, 17, 204, 305, 379, 7885, 68, 22, 597, 500, 19, 4779, 17, 204, 305, 379, 4169, 68, 16228, 597, 368, 19, 21, 17, 204, 305, 379, 26052, 68, 11560, 597, 500, 19, 4779, 17, 716, 268, 4752, 204, 822, 268, 314, 387, 2070, 570, 2072, 204, 268, 379, 88, 2070, 68, 809, 597, 463, 204, 305, 379, 88, 2070, 68, 8530, 597, 1078, 17, 204, 305, 379, 5001, 1077, 597, 3861, 19, 21, 17, 204, 305, 379, 2760, 597, 551, 22, 19, 21, 17, 648, 716, 305, 379, 88, 2070, 633, 3570, 68, 270, 6586, 68, 2435, 597, 368, 19, 21, 204, 268, 4752, 204, 822, 268, 314, 18022, 20, 272, 21385, 2072, 204, 268, 379, 5242, 68, 272, 21385, 597, 463, 204, 305, 379, 272, 21385, 68, 8530, 597, 1078, 17, 204, 305, 379, 10911, 68, 272, 21385, 597, 500, 19, 21, 17, 716, 305, 379, 2952, 71, 3391, 597, 500, 19, 21, 17, 204, 305, 379, 14381, 68, 2952, 68, 26052, 68, 1015, 597, 2753, 19, 21, 17, 226, 314, 16169, 204, 305, 379, 14381, 68, 34763, 68, 1015, 597, 5106, 19, 21, 17, 226, 314, 16169, 204, 305, 379, 14381, 68, 87, 836, 68, 2383, 68, 1015, 597, 2753, 19, 21, 17, 262, 314, 16169, 204, 305, 379, 26052, 68, 13384, 597, 500, 19, 22, 17, 204, 268, 4752, 204, 822, 268, 314, 41904, 14490, 2072, 204, 268, 379, 80, 10055, 68, 16160, 597, 463, 204, 305, 379, 5670, 68, 14092, 68, 664, 6340, 597, 959, 17, 204, 305, 379, 14092, 68, 664, 6340, 597, 463, 204, 485, 379, 656, 597, 2552, 21241, 597, 379, 1931, 671, 491, 379, 2760, 597, 551, 22, 19, 15745, 716, 485, 379, 5939, 597, 2552, 21241, 597, 379, 28933, 491, 379, 2760, 597, 551, 22, 39016, 379, 11560, 597, 551, 22, 19, 15745, 204, 485, 379, 43067, 597, 2552, 21241, 597, 379, 28933, 491, 379, 2760, 597, 551, 22, 39016, 379, 11560, 597, 551, 22, 19, 15745, 204, 485, 379, 83, 21, 597, 2552, 21241, 597, 379, 1931, 671, 491, 379, 2760, 597, 551, 22, 19, 7916, 204, 305, 1211, 204, 268, 4752, 204, 822, 268, 314, 472, 25008, 204, 268, 379, 11241, 597, 463, 204, 305, 379, 22178, 87, 68, 8530, 597, 1078, 17, 204, 305, 379, 83, 7803, 68, 22178, 87, 68, 8530, 597, 1078, 17, 204, 305, 379, 85, 9391, 68, 8530, 597, 1078, 17, 204, 305, 379, 39037, 68, 22178, 68, 9391, 68, 8530, 597, 1078, 17, 204, 305, 379, 28287, 68, 4927, 82, 68, 8530, 597, 1078, 17, 204, 305, 379, 88, 31829, 68, 8530, 597, 1078, 17, 204, 305, 379, 660, 68, 288, 68, 4927, 82, 68, 8530, 597, 1078, 17, 204, 268, 1211, 204, 264, 1211, 204, 615, 264, 407, 588, 655, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 588, 655, 289, 1137, 68, 2305, 68, 417, 655, 374, 204, 264, 456, 13, 417, 655, 14, 204, 0, 8, 1907, 68, 804, 1274, 6408, 204, 204, 531, 1907, 19, 4823, 532, 3051, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 204, 8, 4390, 5020, 497, 1792, 9428, 204, 531, 7911, 532, 5020, 448, 7911, 68, 4280, 204, 531, 30096, 68, 15564, 532, 5020, 448, 30096, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2924, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2002, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2413, 68, 4280, 204, 204, 461, 636, 68, 805, 68, 4918, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 1274, 3758, 348, 275, 5959, 1650, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 1274, 3758, 19, 204, 264, 320, 204, 264, 314, 968, 1274, 3758, 204, 264, 1779, 68, 4918, 289, 551, 204, 268, 314, 9657, 1274, 204, 268, 832, 611, 4159, 4750, 3051, 19, 3350, 19, 3968, 659, 204, 204, 268, 314, 8196, 329, 5888, 5448, 204, 268, 832, 14945, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 268, 832, 611, 998, 4750, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 268, 832, 611, 23309, 4750, 2924, 68, 4280, 19, 23309, 17, 588, 833, 3424, 68, 23309, 2008, 204, 268, 832, 611, 607, 4750, 2924, 68, 4280, 19, 3424, 68, 607, 17, 588, 833, 3424, 68, 607, 2008, 204, 268, 832, 611, 10764, 20, 3424, 4750, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 204, 268, 314, 6761, 6294, 5448, 204, 268, 832, 499, 3396, 13669, 2002, 68, 4280, 19, 3396, 68, 23309, 17, 588, 833, 3396, 68, 23309, 2008, 204, 268, 832, 499, 3396, 20, 826, 68, 3396, 13669, 2002, 68, 4280, 19, 826, 68, 3396, 17, 588, 833, 826, 68, 3396, 2008, 204, 268, 832, 499, 3396, 20, 7451, 68, 3396, 13669, 2002, 68, 4280, 19, 7451, 68, 3396, 17, 588, 833, 7451, 68, 3396, 2008, 204, 268, 832, 499, 3396, 20, 2756, 68, 3396, 13669, 2002, 68, 4280, 19, 2756, 68, 3396, 17, 588, 833, 2756, 68, 3396, 2008, 204, 204, 268, 314, 15065, 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, 6294, 5448, 204, 268, 832, 499, 3909, 13669, 2413, 68, 4280, 19, 3909, 68, 23309, 17, 588, 833, 3909, 68, 23309, 2008, 204, 204, 268, 314, 871, 56, 9412, 5448, 204, 268, 832, 499, 11092, 13669, 30096, 68, 4280, 19, 998, 17, 588, 833, 11092, 68, 998, 2008, 204, 268, 832, 499, 11092, 68, 25404, 16200, 13669, 30096, 68, 4280, 19, 25404, 16200, 17, 588, 833, 11092, 68, 25404, 16200, 2008, 204, 264, 2437, 204, 204, 264, 407, 1779, 68, 4918, 204, 204, 8, 763, 1274, 3758, 204, 11326, 289, 636, 68, 805, 68, 4918, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 13940, 29187, 11287, 31, 204, 264, 320, 204, 264, 3989, 275, 8089, 302, 437, 11918, 292, 273, 800, 435, 41, 2333, 19, 204, 264, 320, 204, 204, 264, 436, 949, 68, 17563, 13, 327, 17, 11918, 68, 1608, 31, 783, 64, 1218, 64, 339, 4097, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 8089, 302, 275, 11918, 292, 275, 800, 435, 41, 2333, 19, 204, 204, 268, 457, 31, 204, 268, 11918, 68, 1608, 322, 1218, 64, 1218, 64, 339, 3795, 334, 435, 41, 2333, 2457, 275, 11918, 2304, 19, 204, 305, 500, 4504, 2263, 329, 368, 4504, 3623, 19, 204, 204, 268, 475, 31, 204, 268, 421, 31, 334, 8089, 302, 275, 11918, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 2333, 353, 1392, 204, 268, 397, 508, 11918, 68, 1608, 31, 204, 305, 407, 500, 204, 204, 268, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 268, 771, 68, 3173, 17, 771, 68, 6103, 289, 1245, 13, 38656, 68, 1608, 659, 1245, 13, 38656, 68, 1608, 64, 21, 694, 204, 204, 268, 314, 977, 275, 8089, 204, 268, 8089, 289, 500, 204, 204, 268, 314, 1861, 1048, 848, 2092, 292, 275, 2333, 204, 268, 348, 1237, 292, 933, 13, 920, 68, 3173, 330, 204, 305, 348, 734, 292, 933, 13, 920, 68, 6103, 330, 204, 485, 314, 778, 397, 275, 790, 2092, 353, 273, 3623, 2092, 204, 485, 397, 11918, 68, 1608, 64, 937, 1799, 982, 66, 564, 368, 31, 204, 895, 314, 778, 275, 13518, 4207, 204, 895, 348, 4180, 17, 21255, 292, 29114, 22, 17, 500, 659, 322, 22, 17, 500, 659, 322, 21, 17, 338, 22, 659, 322, 21, 17, 368, 31902, 204, 2058, 31896, 17, 23125, 289, 1237, 465, 4180, 17, 734, 465, 21255, 204, 2058, 314, 778, 397, 275, 13518, 2092, 353, 685, 302, 7119, 521, 353, 273, 2263, 2092, 204, 2058, 397, 31896, 962, 500, 521, 23125, 962, 500, 521, 31896, 3721, 771, 68, 3173, 521, 23125, 3721, 771, 68, 6103, 521, 11918, 68, 1608, 64, 16601, 1799, 13388, 66, 564, 500, 31, 204, 4511, 314, 7415, 275, 8089, 204, 4511, 8089, 1412, 368, 204, 204, 268, 407, 8089, 204, 204, 8, 1165, 1265, 31, 204, 11752, 289, 13940, 29187, 11287, 374, 204, 38656, 68, 1608, 289, 5787, 21, 17, 368, 17, 500, 17, 500, 648, 551, 22, 17, 368, 17, 368, 17, 500, 648, 551, 21, 17, 368, 17, 500, 17, 500, 648, 551, 22, 17, 368, 17, 500, 17, 500, 2629, 204, 2102, 13, 11752, 19, 3446, 68, 17563, 13, 38656, 68, 1608, 602, 204, 0, 24658, 45682, 2148, 13592, 22926, 9125, 2774, 22138, 21334, 3608, 4250, 21196, 11082, 2065, 4664, 408, 22138, 21334, 12395, 3608, 4250, 23343, 4660, 568, 2774, 4664, 10378, 12179, 408, 11485, 31662, 4152, 7292, 3361, 2564, 408, 8830, 14447, 8028, 9938, 831, 988, 256, 408, 12067, 9138, 6653, 12554, 1926, 6472, 2675, 3476, 3654, 1946, 23323, 1227, 45699, 30287, 19119, 568, 204, 24658, 45682, 2148, 13592, 22926, 9125, 4664, 6638, 2831, 4262, 47193, 4838, 22, 4330, 48426, 408, 45112, 11058, 2682, 9396, 1116, 568, 2774, 9813, 13763, 4664, 35007, 5259, 408, 3875, 15501, 1843, 725, 34899, 23718, 4402, 15501, 2338, 48675, 38608, 39622, 5259, 32511, 15234, 19864, 14447, 1227, 36135, 7869, 11568, 408, 27757, 31600, 3708, 3411, 2815, 1689, 725, 6658, 2174, 408, 7340, 2014, 568, 48218, 460, 43, 1000, 11186, 45682, 2148, 31600, 3708, 3725, 2367, 125, 3774, 9250, 39112, 31600, 3708, 6463, 1490, 6260, 408, 4127, 29931, 20859, 40603, 11007, 14139, 568, 204, 7462, 16081, 43, 1000, 11186, 42815, 13604, 32115, 11632, 1421, 111, 1421, 111, 942, 12177, 568, 24781, 6642, 11568, 2677, 1571, 4089, 569, 2653, 13427, 21615, 460, 31662, 408, 4411, 36942, 11624, 12177, 22784, 1227, 17233, 568, 1189, 29554, 3013, 3730, 6583, 6522, 12177, 22784, 32293, 408, 2253, 38737, 3013, 3730, 25195, 43, 1000, 11186, 14447, 32293, 568, 2822, 19880, 23343, 6463, 31577, 28752, 13027, 408, 2822, 19880, 23343, 6463, 31577, 19161, 12215, 408, 2822, 19880, 23343, 36075, 31577, 24288, 35288, 568, 2780, 2122, 3730, 13688, 2822, 10147, 408, 46236, 3456, 1638, 29554, 2823, 17473, 2218, 7251, 3456, 408, 12120, 12821, 5017, 12120, 9813, 30750, 5928, 568, 39264, 33210, 38814, 7413, 12821, 4134, 204, 12185, 44300, 1984, 3500, 3560, 2278, 3500, 1116, 32801, 7413, 1846, 3598, 408, 43841, 7251, 7652, 1345, 10366, 921, 29207, 31354, 28979, 408, 18653, 12177, 22784, 29491, 15891, 12177, 1689, 4197, 408, 43672, 7689, 2494, 2253, 4438, 6829, 10795, 44167, 1281, 260, 568, 19161, 12215, 3038, 7813, 13540, 3304, 13540, 12977, 568, 8270, 33484, 408, 10490, 408, 37866, 408, 2961, 261, 2492, 105, 854, 14905, 12185, 9751, 32467, 568, 204, 43, 1000, 11186, 45682, 2148, 31600, 3708, 9555, 1262, 3407, 5428, 408, 5017, 32929, 17211, 5801, 568, 2638, 1999, 4736, 6303, 2386, 3622, 9777, 9098, 7161, 13644, 7161, 23449, 408, 9555, 3560, 22603, 4402, 21161, 10716, 11587, 408, 11755, 2494, 942, 46934, 408, 5017, 1002, 11066, 16217, 408, 1002, 40889, 109, 3788, 568, 2638, 12793, 4004, 5784, 9777, 10458, 4121, 12530, 408, 1822, 3476, 3464, 24123, 11361, 2235, 6245, 5784, 16517, 7273, 258, 38100, 16814, 13974, 9438, 4758, 1227, 4121, 7527, 249, 22086, 568, 18583, 13897, 9110, 24625, 10001, 6764, 7452, 29281, 40927, 4661, 12793, 408, 9438, 4758, 6486, 854, 16517, 7273, 258, 38100, 460, 45033, 14557, 568, 204, 3500, 3560, 2278, 3500, 1116, 32801, 7413, 1846, 3598, 408, 43841, 7251, 7652, 1345, 10366, 921, 29207, 31354, 28979, 408, 45682, 2148, 6463, 31600, 3708, 18653, 12177, 22784, 29491, 15891, 12177, 1689, 4197, 408, 43672, 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, 7689, 2494, 2253, 4438, 6829, 10795, 44167, 1281, 260, 408, 19161, 12215, 3038, 7813, 13540, 3304, 13540, 12977, 568, 8270, 33484, 408, 10490, 408, 37866, 408, 2961, 261, 2492, 105, 854, 14905, 12185, 9751, 32467, 568, 204, 45682, 2148, 31600, 18938, 20085, 3456, 24627, 1638, 7462, 22146, 6347, 3248, 460, 14965, 21788, 568, 226, 3841, 20085, 4660, 5299, 4485, 27443, 408, 11026, 4762, 1689, 15208, 3456, 408, 40696, 8498, 2780, 2675, 17979, 5299, 568, 921, 19853, 1191, 7403, 4472, 3369, 7433, 408, 1002, 7416, 9198, 11319, 4304, 408, 2253, 2370, 3841, 20085, 3031, 1436, 237, 568, 14752, 44547, 408, 2402, 2370, 12177, 3675, 30526, 568, 45682, 2148, 7251, 3235, 4987, 4525, 11572, 13806, 7624, 11026, 40562, 13806, 33126, 408, 5643, 5290, 36167, 30097, 1191, 6371, 14168, 6848, 568, 0, 38, 2384, 353, 19683, 1340, 440, 16124, 368, 7993, 1702, 448, 32016, 17, 1066, 302, 11078, 17, 6276, 7703, 17, 329, 8565, 7644, 19, 334, 2384, 353, 273, 717, 71, 705, 311, 16124, 368, 329, 11237, 311, 3126, 275, 31774, 1493, 302, 2680, 18, 36389, 8106, 17, 448, 1250, 874, 437, 5962, 1682, 3747, 19, 204, 204, 12129, 575, 29036, 974, 275, 2439, 340, 6600, 730, 8130, 17, 928, 1250, 1193, 14359, 292, 3100, 8585, 7345, 1702, 448, 610, 18, 9097, 17, 9350, 17, 329, 741, 4064, 19, 334, 8130, 3629, 1660, 18, 1424, 18, 2290, 5169, 311, 3490, 17, 11439, 3612, 311, 3126, 275, 1352, 329, 4309, 1662, 311, 2616, 3490, 523, 1017, 3346, 19, 204, 204, 673, 10290, 8130, 17, 2439, 340, 6600, 730, 17, 618, 444, 1376, 348, 4109, 8585, 4364, 17, 2864, 12661, 16124, 17, 44548, 16124, 17, 329, 791, 2283, 464, 16124, 19, 1547, 618, 1340, 440, 7993, 1702, 448, 31, 204, 204, 15, 48508, 88, 204, 15, 7035, 302, 11078, 204, 15, 22761, 7703, 204, 15, 12748, 7644, 204, 15, 22263, 11661, 204, 15, 19524, 7703, 204, 15, 22169, 18, 2662, 18, 2662, 8027, 204, 204, 673, 8130, 3629, 273, 1660, 18, 1424, 18, 2290, 1988, 311, 3490, 560, 7493, 1498, 292, 275, 1844, 497, 273, 9752, 329, 26222, 523, 388, 14225, 2948, 1547, 353, 273, 4382, 3966, 348, 2459, 1415, 1519, 1340, 440, 8585, 329, 3480, 311, 3126, 275, 31774, 1493, 302, 275, 3397, 19, 0, 647, 4028, 204, 531, 33112, 1825, 19, 6424, 532, 16447, 2157, 6067, 204, 531, 33112, 1825, 19, 27752, 19, 324, 72, 532, 346, 7460, 4872, 3890, 299, 17, 502, 7278, 20140, 17, 16447, 1338, 4872, 3890, 299, 17, 7052, 4872, 3890, 299, 204, 531, 33112, 1825, 19, 2182, 19, 18292, 68, 23712, 532, 26982, 40916, 204, 531, 33112, 1825, 19, 5719, 532, 34735, 11690, 204, 531, 33112, 1825, 19, 809, 19, 5719, 68, 809, 532, 8361, 1655, 204, 531, 33112, 1825, 19, 3978, 19, 5135, 19, 6424, 68, 5135, 532, 3953, 68, 6424, 17, 951, 68, 6424, 204, 204, 8, 4861, 204, 21951, 68, 11372, 289, 500, 204, 5605, 68, 22439, 68, 11372, 289, 2031, 204, 43287, 68, 3344, 289, 388, 59, 48571, 18, 19913, 33977, 18, 91, 21, 7, 204, 44, 39802, 68, 11372, 289, 500, 19, 2418, 204, 43833, 1000, 68, 11372, 289, 2753, 204, 5551, 68, 17176, 68, 11372, 289, 1607, 204, 5551, 68, 29500, 68, 11372, 289, 5953, 204, 5551, 68, 3668, 2229, 2214, 68, 11372, 289, 720, 204, 5551, 68, 22439, 68, 11372, 289, 552, 1452, 16083, 1000, 68, 11372, 204, 26052, 5077, 68, 3344, 289, 388, 331, 82, 68, 36090, 299, 7, 204, 48, 9213, 4329, 68, 11372, 289, 368, 19, 21, 204, 39, 2166, 3845, 68, 11372, 289, 551, 21, 19, 23, 17, 500, 19, 29, 17, 500, 66, 204, 60, 29396, 68, 13858, 68, 11372, 289, 959, 204, 5551, 68, 22990, 68, 11372, 289, 368, 204, 5551, 68, 44514, 20672, 68, 11372, 289, 2753, 204, 204, 461, 838, 68, 5719, 13, 5273, 31, 421, 17, 1964, 68, 417, 31, 394, 14, 393, 34735, 11690, 31, 204, 264, 320, 204, 264, 666, 273, 34735, 11690, 726, 19, 204, 204, 264, 457, 31, 204, 268, 4257, 322, 339, 330, 334, 4257, 700, 348, 275, 1964, 19, 204, 268, 1964, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 34735, 11690, 31, 334, 1966, 1964, 19, 204, 264, 320, 204, 264, 407, 34735, 11690, 13, 5719, 68, 417, 17, 4257, 14, 204, 204, 461, 838, 68, 5719, 68, 809, 13, 5719, 31, 34735, 11690, 14, 393, 8361, 1655, 31, 204, 264, 320, 204, 264, 666, 437, 8361, 1655, 726, 19, 204, 204, 264, 457, 31, 204, 268, 1964, 322, 44, 6412, 11690, 330, 334, 1964, 311, 838, 273, 570, 497, 19, 204, 204, 264, 475, 31, 204, 268, 8361, 1655, 31, 334, 1966, 1964, 570, 19, 204, 264, 320, 204, 264, 5162, 68, 809, 289, 4028, 19, 23619, 13, 5719, 14, 204, 264, 5162, 68, 809, 19, 7142, 374, 204, 264, 407, 5162, 68, 809, 204, 204, 461, 838, 68, 809, 13, 5719, 68, 809, 31, 8361, 1655, 17, 570, 68, 11951, 31, 394, 14, 393, 8361, 1655, 31, 204, 264, 320, 204, 264, 666, 273, 570, 302, 273, 2824, 5568, 19, 204, 204, 264, 457, 31, 204, 268, 1964, 68, 809, 322, 11690, 1655, 330, 334, 1964, 570, 311, 838, 273, 570, 497, 19, 204, 268, 570, 68, 11951, 322, 325, 330, 334, 5568, 302, 570, 311, 838, 322, 44330, 17, 11141, 17, 30238, 789, 204, 204, 264, 475, 31, 204, 268, 8361, 1655, 31, 334, 1966, 570, 19, 204, 264, 320, 204, 264, 407, 4028, 19, 23619, 13, 11690, 1655, 13, 5719, 68, 809, 17, 570, 68, 11951, 34, 809, 68, 11951, 602, 204, 204, 461, 838, 68, 324, 72, 68, 16448, 13, 204, 264, 20738, 787, 68, 809, 31, 8361, 1655, 17, 204, 264, 5877, 68, 809, 31, 8361, 1655, 17, 204, 264, 30238, 68, 809, 31, 8361, 1655, 17, 204, 264, 9077, 31, 818, 17, 204, 264, 22758, 31, 421, 17, 204, 264, 771, 68, 4077, 31, 421, 17, 204, 264, 771, 68, 404, 3379, 31, 421, 17, 204, 264, 11355, 68, 417, 31, 394, 17, 204, 264, 771, 68, 2062, 31, 421, 289, 443, 17, 204, 264, 34507, 31, 818, 289, 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, 443, 17, 204, 264, 47351, 31, 458, 289, 443, 17, 204, 264, 8862, 68, 1530, 31, 1109, 289, 959, 17, 204, 264, 771, 68, 6995, 31, 421, 289, 368, 17, 204, 14, 393, 502, 7278, 20140, 31, 204, 264, 320, 204, 264, 666, 437, 502, 7278, 11355, 726, 19, 204, 204, 264, 457, 31, 204, 268, 20738, 787, 68, 809, 322, 11690, 1655, 330, 334, 20738, 787, 570, 19, 204, 268, 5877, 68, 809, 322, 11690, 1655, 330, 334, 5877, 570, 19, 204, 268, 30238, 68, 809, 322, 11690, 1655, 330, 334, 30238, 570, 19, 204, 268, 9077, 322, 996, 330, 334, 6778, 2479, 19, 204, 268, 22758, 322, 339, 330, 334, 11666, 22758, 19, 204, 268, 771, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 268, 771, 68, 404, 3379, 322, 339, 330, 334, 542, 302, 32400, 4645, 19, 204, 268, 11355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 11355, 322, 2017, 68, 36090, 299, 17, 279, 547, 68, 36090, 299, 17, 309, 453, 78, 68, 36090, 299, 789, 204, 268, 771, 68, 2062, 322, 339, 17, 1448, 330, 334, 542, 302, 6195, 19, 1243, 311, 443, 19, 204, 268, 34507, 322, 996, 17, 1448, 330, 334, 34507, 700, 19, 1243, 311, 443, 19, 204, 268, 47351, 322, 655, 17, 1448, 330, 334, 7855, 1019, 19, 1243, 311, 443, 19, 204, 268, 8862, 68, 1530, 322, 2107, 17, 1448, 330, 2266, 311, 732, 8862, 1012, 19, 1243, 311, 959, 19, 204, 268, 771, 68, 6995, 322, 339, 17, 1448, 330, 334, 542, 302, 46266, 19, 1243, 311, 368, 19, 204, 204, 264, 475, 31, 204, 268, 502, 7278, 20140, 31, 334, 1966, 502, 7278, 11355, 19, 204, 264, 320, 204, 264, 46773, 289, 463, 204, 268, 388, 2017, 68, 36090, 299, 559, 7052, 4872, 3890, 299, 17, 204, 268, 388, 331, 82, 68, 36090, 299, 559, 346, 7460, 4872, 3890, 299, 17, 204, 268, 388, 324, 1460, 68, 36090, 299, 559, 16447, 1338, 4872, 3890, 299, 17, 204, 264, 1211, 204, 204, 264, 397, 11355, 68, 417, 508, 292, 46773, 31, 204, 268, 980, 9936, 13, 75, 7, 20140, 463, 16448, 68, 417, 98, 508, 7306, 431, 204, 204, 264, 11355, 68, 676, 289, 46773, 64, 16448, 68, 417, 66, 204, 204, 264, 397, 11355, 68, 417, 564, 388, 2017, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 771, 68, 404, 3379, 34, 920, 68, 404, 3379, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 264, 1677, 11355, 68, 417, 564, 388, 331, 82, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 2062, 34, 920, 68, 2062, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 771, 68, 404, 3379, 34, 920, 68, 404, 3379, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 264, 1677, 11355, 68, 417, 564, 388, 324, 1460, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 2062, 34, 920, 68, 2062, 17, 204, 305, 34507, 34, 31233, 17, 204, 305, 2081, 68, 10620, 34, 9553, 402, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 1964, 329, 1964, 570, 204, 264, 1964, 289, 838, 68, 5719, 13, 21951, 68, 11372, 17, 21765, 37539, 68, 3344, 14, 204, 264, 1964, 68, 809, 289, 838, 68, 5719, 68, 809, 13, 5719, 14, 204, 204, 264, 314, 666, 20738, 787, 17, 5877, 17, 329, 30238, 1094, 204, 264, 20738, 787, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 44330, 431, 204, 264, 5877, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 14493, 431, 204, 264, 30238, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 11781, 344, 431, 204, 204, 264, 314, 666, 502, 7278, 11355, 204, 264, 309, 6092, 68, 16448, 289, 838, 68, 324, 72, 68, 16448, 13, 204, 268, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 268, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 268, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 268, 9077, 34, 44, 39802, 68, 11372, 17, 204, 268, 22758, 34, 43833, 1000, 68, 11372, 17, 204, 268, 771, 68, 4077, 34, 5551, 68, 29500, 68, 11372, 17, 204, 268, 771, 68, 404, 3379, 34, 5551, 68, 3668, 2229, 2214, 68, 11372, 17, 204, 268, 11355, 68, 417, 34, 26052, 5077, 68, 3344, 17, 204, 268, 771, 68, 2062, 34, 5551, 68, 17176, 68, 11372, 17, 204, 268, 34507, 34, 48, 9213, 4329, 68, 11372, 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, 204, 268, 47351, 34, 39, 2166, 3845, 68, 11372, 17, 204, 268, 8862, 68, 1530, 34, 60, 29396, 68, 13858, 68, 11372, 17, 204, 268, 771, 68, 6995, 34, 5551, 68, 22990, 68, 11372, 17, 204, 264, 1179, 204, 204, 264, 314, 666, 4748, 329, 951, 204, 264, 4748, 289, 16447, 2157, 6067, 13, 324, 72, 68, 16448, 34, 324, 72, 68, 16448, 14, 204, 264, 951, 68, 6424, 13, 204, 268, 4748, 17, 204, 268, 1964, 68, 809, 17, 204, 268, 771, 68, 16853, 34, 5551, 68, 44514, 20672, 68, 11372, 17, 204, 268, 846, 68, 4593, 34, 5605, 68, 22439, 68, 11372, 17, 204, 268, 456, 68, 5270, 34, 22, 17, 204, 268, 2111, 34, 1021, 17, 204, 264, 1179, 204, 204, 264, 314, 4938, 4748, 204, 264, 3953, 68, 6424, 13, 6424, 17, 1964, 34, 5719, 17, 771, 68, 16853, 34, 22, 17, 846, 68, 4593, 34, 5605, 68, 22439, 68, 11372, 17, 2111, 34, 1021, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1040, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 268, 724, 31, 334, 1351, 3442, 19, 204, 204, 264, 475, 31, 204, 268, 334, 542, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 724, 353, 508, 3114, 1194, 500, 19, 204, 264, 320, 204, 264, 314, 778, 397, 724, 353, 1097, 204, 264, 397, 724, 2186, 500, 31, 204, 268, 980, 987, 499, 80, 1631, 444, 3114, 1194, 500, 431, 204, 204, 264, 314, 977, 2558, 311, 3550, 3234, 302, 275, 1351, 329, 275, 1040, 302, 21522, 204, 264, 1351, 289, 368, 204, 264, 1824, 289, 500, 204, 264, 1040, 289, 500, 204, 204, 264, 314, 1861, 1048, 275, 458, 302, 886, 204, 264, 348, 1629, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 314, 1716, 275, 1351, 204, 268, 1351, 10744, 886, 64, 1633, 66, 204, 204, 268, 314, 2541, 13820, 275, 2158, 497, 275, 1824, 397, 275, 1351, 353, 3114, 1194, 521, 1936, 311, 724, 204, 268, 1335, 1351, 3721, 724, 329, 1824, 2186, 1629, 31, 204, 305, 1351, 16695, 886, 64, 1735, 66, 204, 305, 1824, 1412, 368, 204, 204, 268, 314, 1716, 275, 1040, 302, 21522, 204, 268, 1040, 1412, 1629, 338, 1824, 465, 368, 204, 204, 264, 407, 1040, 204, 204, 204, 461, 636, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 3596, 275, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 268, 724, 31, 334, 1351, 3442, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 724, 353, 508, 3114, 1194, 500, 19, 204, 264, 320, 204, 264, 314, 778, 397, 724, 353, 1097, 204, 264, 397, 724, 2186, 500, 31, 204, 268, 980, 987, 499, 80, 1631, 444, 3114, 1194, 500, 431, 204, 204, 264, 314, 977, 2558, 311, 1640, 275, 21522, 204, 264, 21522, 289, 1306, 204, 204, 264, 314, 1861, 1048, 275, 458, 302, 886, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 1351, 289, 368, 204, 268, 348, 781, 292, 933, 13, 78, 17, 1245, 13, 1630, 4019, 204, 305, 314, 1716, 275, 1351, 204, 305, 1351, 10744, 886, 64, 79, 66, 204, 204, 305, 314, 778, 397, 275, 1351, 353, 2202, 1194, 724, 204, 305, 397, 1351, 962, 724, 31, 204, 485, 314, 5230, 275, 8577, 311, 275, 458, 302, 21522, 204, 485, 21522, 19, 1223, 13, 1630, 64, 78, 31, 79, 16, 22, 694, 204, 204, 264, 407, 21522, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 886, 289, 551, 1003, 17, 720, 17, 435, 17, 887, 66, 204, 264, 724, 289, 2753, 204, 264, 456, 499, 7366, 302, 21522, 440, 1351, 2202, 1194, 724, 2180, 1040, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 17, 724, 602, 204, 264, 456, 499, 3488, 14816, 440, 1351, 2202, 1194, 724, 2180, 636, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 17, 724, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 676, 25699, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 4389, 3595, 329, 886, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 732, 292, 275, 4389, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 25699, 440, 273, 588, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 311, 732, 292, 275, 4389, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 204, 264, 436, 456, 68, 7291, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 4389, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 330, 334, 943, 311, 456, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 4389, 943, 440, 275, 588, 204, 268, 456, 13, 75, 1954, 1454, 1522, 463, 327, 19, 417, 23214, 204, 204, 264, 436, 456, 68, 2017, 68, 1190, 13, 327, 17, 1006, 68, 876, 31, 421, 289, 368, 17, 846, 68, 876, 31, 421, 289, 1607, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 1400, 542, 2614, 273, 1713, 933, 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, 268, 457, 31, 204, 305, 1006, 68, 876, 322, 339, 17, 1448, 330, 334, 2311, 700, 19, 1243, 311, 368, 19, 204, 305, 846, 68, 876, 322, 339, 17, 1448, 330, 334, 1646, 700, 19, 1243, 311, 1607, 19, 204, 268, 320, 204, 268, 314, 2069, 329, 456, 273, 1400, 542, 2614, 275, 1713, 933, 204, 268, 1400, 68, 1190, 289, 1400, 19, 5574, 13, 885, 68, 876, 17, 846, 68, 876, 14, 204, 268, 456, 13, 75, 7, 10357, 1400, 542, 353, 31, 463, 2017, 68, 1190, 743, 204, 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, 666, 273, 25699, 1014, 440, 273, 588, 204, 264, 32324, 289, 25699, 499, 13142, 431, 204, 204, 264, 314, 1198, 273, 4389, 943, 204, 264, 4389, 68, 1454, 289, 388, 5975, 7, 204, 264, 32324, 19, 2102, 68, 7291, 13, 7291, 68, 1454, 14, 204, 204, 264, 314, 1198, 273, 1400, 542, 204, 264, 32324, 19, 2102, 68, 2017, 68, 1190, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 275, 542, 302, 2696, 17, 1029, 1066, 17, 329, 1184, 1019, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 332, 927, 1174, 275, 542, 302, 2696, 17, 1029, 1066, 17, 329, 1184, 1019, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 2696, 329, 1029, 1066, 497, 275, 575, 204, 264, 771, 68, 1996, 17, 1029, 68, 1303, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 2696, 329, 1029, 1066, 322, 2816, 18, 7996, 330, 6165, 1590, 1447, 204, 615, 264, 314, 763, 275, 1184, 1019, 497, 275, 575, 204, 264, 1184, 68, 1309, 289, 458, 13, 1608, 13, 339, 17, 537, 13, 75, 7, 2101, 463, 920, 68, 1996, 98, 1184, 1019, 322, 2816, 18, 7996, 330, 6165, 1590, 5887, 204, 615, 264, 314, 3866, 275, 542, 302, 1184, 1019, 204, 264, 397, 1245, 13, 1271, 68, 1309, 14, 2167, 771, 68, 1996, 31, 204, 268, 980, 987, 499, 1962, 542, 302, 1184, 1019, 431, 204, 615, 264, 407, 771, 68, 1996, 17, 1029, 68, 1303, 17, 1184, 68, 1309, 204, 204, 204, 461, 618, 68, 2922, 68, 3280, 68, 5450, 13, 2170, 68, 1303, 31, 421, 17, 1184, 68, 1309, 31, 458, 64, 339, 694, 393, 1109, 31, 204, 264, 320, 204, 264, 4347, 397, 275, 1043, 2061, 618, 4033, 974, 8175, 7786, 19, 204, 204, 264, 457, 31, 204, 268, 1029, 68, 1303, 322, 339, 330, 334, 1029, 1066, 311, 5288, 19, 204, 268, 1184, 68, 1309, 322, 655, 64, 339, 1037, 332, 458, 302, 1184, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1043, 2061, 618, 4033, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 666, 273, 8175, 7786, 1435, 311, 1640, 275, 1563, 302, 860, 20107, 204, 264, 7165, 68, 1867, 289, 551, 1975, 66, 540, 322, 2170, 68, 1303, 465, 368, 14, 204, 264, 7165, 68, 1867, 64, 21, 66, 289, 959, 226, 314, 3301, 1322, 31, 275, 1043, 2061, 618, 4033, 440, 273, 1029, 1066, 302, 500, 204, 615, 264, 314, 10155, 275, 8175, 7786, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1029, 68, 1303, 465, 368, 330, 204, 268, 348, 1184, 68, 876, 292, 1184, 68, 1309, 31, 204, 305, 397, 296, 338, 1184, 68, 876, 3721, 500, 31, 204, 485, 314, 828, 275, 1043, 2061, 618, 4033, 440, 275, 790, 1029, 1066, 13576, 275, 1184, 700, 17, 204, 485, 314, 1675, 1250, 618, 1425, 4033, 440, 275, 790, 1029, 1066, 204, 485, 7165, 68, 1867, 64, 78, 66, 29694, 508, 7165, 68, 1867, 64, 78, 338, 1184, 68, 876, 66, 204, 615, 264, 314, 455, 275, 722, 348, 275, 1029, 1066, 204, 264, 407, 7165, 68, 1867, 64, 2170, 68, 1303, 66, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 2906, 537, 17, 949, 275, 722, 17, 329, 456, 275, 919, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 575, 537, 204, 268, 771, 68, 1996, 17, 1029, 68, 1303, 17, 1184, 68, 1309, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 888, 275, 722, 204, 268, 722, 289, 618, 68, 2922, 68, 3280, 68, 5450, 13, 2170, 68, 1303, 17, 1184, 68, 1309, 14, 204, 822, 268, 314, 1198, 275, 919, 204, 268, 456, 611, 5834, 12, 397, 722, 902, 379, 17117, 534, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 1962, 537, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 5920, 532, 7664, 204, 204, 461, 1020, 68, 4425, 68, 19628, 68, 1849, 13, 1630, 31, 783, 64, 339, 694, 393, 1884, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 1752, 275, 1901, 11899, 1103, 292, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 1901, 11899, 1103, 329, 1163, 1040, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 458, 353, 1392, 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, 1974, 7664, 311, 1040, 275, 3133, 302, 848, 1103, 204, 264, 314, 1058, 353, 1182, 6184, 1194, 974, 275, 1040, 1216, 292, 273, 3546, 204, 264, 3133, 68, 765, 289, 7664, 13, 1630, 14, 204, 204, 264, 314, 1752, 275, 1901, 11899, 1103, 204, 264, 314, 334, 1901, 68, 4608, 1216, 2584, 273, 458, 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, 5760, 17, 1273, 275, 1043, 1103, 353, 275, 542, 329, 275, 1350, 1103, 353, 275, 1040, 204, 264, 314, 1785, 732, 275, 846, 741, 440, 273, 896, 311, 1020, 275, 927, 440, 275, 1646, 1040, 204, 264, 1901, 68, 19628, 68, 1849, 17, 846, 68, 765, 289, 846, 13, 5270, 68, 765, 19, 1996, 2144, 896, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 204, 264, 407, 1901, 68, 19628, 68, 1849, 17, 846, 68, 765, 204, 204, 204, 461, 456, 68, 1300, 13, 1849, 31, 421, 17, 1040, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 1901, 11899, 1103, 329, 1163, 1040, 19, 204, 204, 264, 457, 31, 204, 268, 1103, 31, 334, 1901, 11899, 1103, 19, 204, 268, 1040, 31, 334, 1040, 302, 275, 1901, 11899, 1103, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 722, 292, 273, 6585, 782, 204, 264, 456, 13, 75, 7, 673, 1901, 11899, 1103, 353, 463, 1849, 98, 440, 273, 1040, 302, 463, 765, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 681, 17, 720, 17, 720, 17, 720, 17, 887, 17, 368, 66, 204, 264, 810, 31, 204, 268, 1103, 17, 1040, 289, 1020, 68, 4425, 68, 19628, 68, 1849, 13, 1630, 14, 204, 268, 456, 68, 1300, 13, 1849, 17, 1040, 14, 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, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 12468, 26, 19, 11540, 532, 15791, 17, 26502, 17, 25962, 17, 38122, 17, 1301, 32009, 17, 1301, 33172, 3314, 17, 1301, 13096, 7131, 1655, 17, 1301, 7131, 3244, 204, 531, 12468, 26, 19, 13113, 532, 45294, 17, 1301, 3713, 204, 531, 8632, 532, 8204, 204, 204, 8, 968, 273, 424, 850, 311, 5148, 575, 3695, 204, 37, 6611, 204, 676, 2221, 17031, 31, 204, 264, 320, 38, 424, 850, 311, 5148, 575, 3695, 1279, 204, 264, 1724, 31, 394, 204, 264, 1043, 68, 417, 31, 394, 204, 264, 1673, 68, 417, 31, 394, 204, 264, 1489, 68, 522, 68, 8521, 31, 1301, 3713, 204, 264, 3783, 68, 1190, 31, 394, 204, 264, 1995, 31, 394, 204, 264, 3226, 31, 394, 204, 264, 7155, 68, 29647, 31, 394, 204, 264, 7155, 68, 29647, 68, 1190, 31, 394, 204, 264, 7155, 68, 29647, 68, 4780, 31, 394, 204, 204, 676, 3746, 5834, 13, 54, 13096, 7131, 1655, 330, 204, 264, 320, 38, 1435, 570, 311, 2037, 575, 3695, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 424, 17, 2260, 34, 3170, 330, 204, 268, 2234, 3853, 924, 889, 3619, 14, 204, 268, 370, 806, 481, 289, 424, 204, 204, 264, 436, 424, 13, 327, 17, 1112, 17, 4263, 330, 204, 268, 397, 4263, 564, 500, 31, 204, 305, 407, 370, 806, 481, 64, 998, 19, 937, 374, 1799, 998, 19, 3071, 6485, 204, 268, 407, 443, 204, 204, 264, 436, 1237, 7366, 13, 327, 17, 1112, 330, 204, 268, 407, 1245, 13, 327, 806, 481, 14, 204, 204, 264, 436, 1837, 7366, 13, 327, 17, 1112, 330, 204, 268, 407, 1245, 13, 327, 806, 481, 64, 21, 694, 204, 204, 676, 6867, 6188, 13, 14711, 330, 204, 264, 320, 38, 9841, 1472, 348, 18120, 575, 3695, 1279, 204, 264, 8170, 68, 2997, 289, 45294, 374, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 34, 3170, 330, 204, 268, 2234, 3853, 924, 889, 3619, 14, 204, 268, 370, 19, 924, 68, 14891, 374, 204, 204, 264, 436, 5520, 68, 14891, 13, 327, 330, 204, 268, 320, 12413, 275, 9841, 1842, 1279, 204, 268, 314, 666, 1769, 329, 537, 2357, 204, 268, 370, 19, 2185, 289, 551, 204, 305, 25962, 611, 10453, 2008, 204, 305, 25962, 611, 5834, 4014, 2008, 204, 305, 25962, 611, 12378, 4014, 2008, 204, 305, 25962, 611, 3713, 302, 24884, 2008, 204, 305, 25962, 611, 15351, 3239, 2008, 204, 305, 25962, 611, 10979, 2008, 204, 305, 25962, 611, 16693, 2008, 204, 305, 25962, 611, 39957, 47533, 2008, 204, 305, 25962, 611, 39957, 47533, 3239, 2008, 204, 305, 25962, 611, 39957, 47533, 18027, 534, 204, 268, 2437, 204, 204, 268, 370, 19, 4599, 289, 551, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 1301, 33172, 3314, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 374, 204, 268, 2437, 204, 204, 268, 314, 666, 273, 2333, 5328, 204, 268, 2333, 289, 1301, 32009, 374, 204, 268, 348, 296, 17, 322, 1676, 17, 537, 68, 1993, 14, 292, 3209, 13, 5714, 13, 327, 19, 2185, 17, 370, 19, 4599, 4019, 204, 305, 2333, 19, 10012, 13, 1676, 17, 296, 17, 500, 14, 204, 305, 2333, 19, 10012, 13, 768, 68, 1993, 17, 296, 17, 368, 14, 204, 204, 268, 370, 19, 25489, 13, 2700, 14, 204, 204, 264, 436, 2106, 13, 327, 330, 204, 268, 320, 19324, 275, 575, 537, 1279, 204, 268, 810, 31, 204, 305, 314, 763, 575, 537, 204, 305, 1724, 289, 370, 19, 4599, 64, 21, 1664, 492, 374, 204, 305, 1043, 68, 417, 289, 370, 19, 4599, 64, 22, 1664, 492, 374, 204, 305, 1673, 68, 417, 289, 370, 19, 4599, 64, 23, 1664, 492, 374, 204, 305, 1489, 68, 522, 68, 8521, 289, 370, 19, 4599, 64, 24, 1664, 9227, 3713, 374, 204, 305, 3783, 68, 1190, 289, 370, 19, 4599, 64, 25, 1664, 492, 374, 204, 305, 1995, 289, 370, 19, 4599, 64, 26, 1664, 492, 374, 204, 305, 3226, 289, 370, 19, 4599, 64, 27, 1664, 492, 374, 204, 305, 7155, 68, 29647, 289, 370, 19, 4599, 64, 28, 1664, 492, 374, 204, 305, 7155, 68, 29647, 68, 1190, 289, 370, 19, 4599, 64, 29, 1664, 492, 374, 204, 305, 7155, 68, 29647, 68, 4780, 289, 370, 19, 4599, 64, 30, 1664, 492, 374, 204, 204, 305, 314, 666, 273, 2221, 17031, 726, 204, 305, 575, 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, 4810, 289, 2221, 17031, 13, 204, 485, 1724, 17, 204, 485, 1043, 68, 417, 17, 204, 485, 1673, 68, 417, 17, 204, 485, 1489, 68, 522, 68, 8521, 17, 204, 485, 3783, 68, 1190, 17, 204, 485, 1995, 17, 204, 485, 3226, 17, 204, 485, 7155, 68, 29647, 17, 204, 485, 7155, 68, 29647, 68, 1190, 17, 204, 485, 7155, 68, 29647, 68, 4780, 204, 305, 1179, 204, 204, 305, 314, 666, 273, 1435, 570, 204, 305, 570, 289, 3746, 5834, 8963, 20537, 13, 816, 68, 4810, 17, 8148, 14, 348, 8148, 292, 27081, 13, 816, 68, 4810, 789, 3261, 374, 4097, 204, 204, 305, 314, 666, 273, 1435, 2013, 204, 305, 1435, 68, 1529, 289, 1301, 7131, 3244, 374, 204, 305, 1435, 68, 1529, 19, 574, 1655, 13, 809, 14, 204, 204, 305, 314, 6426, 275, 1435, 2013, 204, 305, 1435, 68, 1529, 19, 2896, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 7770, 537, 31, 463, 74, 743, 204, 204, 264, 436, 2901, 13, 327, 330, 204, 268, 320, 42, 2392, 275, 8170, 68, 2997, 3683, 1279, 204, 268, 370, 19, 12263, 68, 2997, 19, 17406, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 2454, 204, 264, 740, 289, 15791, 13, 4807, 19, 4983, 14, 204, 264, 2158, 289, 6867, 6188, 374, 204, 264, 2158, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 0, 676, 12160, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 5333, 1747, 19, 204, 204, 264, 1532, 31, 204, 268, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 268, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 19, 204, 268, 3188, 322, 996, 330, 334, 790, 3188, 292, 275, 1747, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1747, 68, 1190, 31, 394, 17, 1747, 68, 4624, 31, 394, 17, 1419, 68, 3631, 31, 818, 289, 500, 19, 21, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 5333, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 305, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 19, 204, 305, 1419, 68, 3631, 322, 996, 17, 1448, 330, 334, 1419, 3188, 292, 275, 1747, 19, 1243, 311, 500, 19, 21, 19, 204, 268, 320, 204, 268, 370, 19, 3652, 68, 1190, 289, 1747, 68, 1190, 204, 268, 370, 19, 3652, 68, 4624, 289, 1747, 68, 4624, 204, 268, 370, 19, 3631, 289, 1419, 68, 3631, 204, 204, 264, 436, 7666, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20640, 273, 1713, 1690, 1025, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7666, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 7666, 1690, 353, 1097, 322, 5198, 18, 4721, 14, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 24275, 1690, 2950, 444, 2917, 431, 204, 268, 314, 1716, 275, 1747, 3188, 204, 268, 370, 19, 3631, 1412, 1690, 204, 204, 264, 436, 7138, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20954, 273, 1713, 1690, 497, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7138, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 11528, 1690, 353, 1097, 322, 5198, 18, 4721, 329, 508, 26211, 275, 3188, 14, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 25463, 1690, 2950, 444, 2917, 431, 204, 268, 397, 1690, 1323, 370, 19, 3631, 31, 204, 305, 980, 987, 499, 20273, 14375, 431, 204, 268, 314, 1716, 275, 1747, 3188, 204, 268, 370, 19, 3631, 4922, 1690, 204, 204, 264, 436, 636, 68, 3631, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 790, 3188, 292, 275, 1747, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 790, 3188, 19, 204, 268, 320, 204, 268, 407, 370, 19, 3631, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5333, 1747, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 5333, 1747, 19, 204, 268, 320, 204, 268, 407, 283, 7, 7148, 3239, 31, 463, 327, 19, 3652, 68, 1190, 1522, 11937, 552, 1911, 31, 463, 327, 19, 3652, 68, 4624, 1522, 23904, 31, 463, 327, 19, 3631, 4567, 23, 75, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1747, 289, 12160, 499, 14788, 528, 388, 6192, 7358, 528, 3861, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 1747, 19, 15749, 13, 4589, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 1747, 19, 15691, 13, 2825, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 456, 13, 75, 7, 11322, 23904, 31, 463, 3652, 19, 505, 68, 3631, 22215, 23, 75, 743, 204, 0, 658, 10004, 19366, 47265, 20083, 278, 41471, 7422, 204, 204, 1380, 10721, 204, 204, 38, 5218, 2484, 353, 437, 726, 496, 11280, 4451, 830, 26865, 12772, 496, 14646, 523, 490, 329, 47544, 15682, 12772, 292, 273, 7346, 11651, 5575, 311, 1163, 3312, 19, 334, 26680, 12772, 560, 273, 5218, 2484, 353, 3250, 5218, 2484, 12772, 19, 204, 204, 1380, 20083, 278, 677, 41471, 7422, 204, 204, 37316, 278, 677, 11492, 3938, 3584, 496, 275, 5218, 18, 3825, 12772, 5825, 348, 1792, 10024, 1120, 7942, 630, 1792, 26827, 17, 928, 529, 30016, 11832, 311, 275, 3312, 19, 334, 3938, 353, 8286, 560, 275, 1581, 31, 204, 204, 11606, 12778, 289, 308, 20, 57, 204, 204, 3663, 11895, 12778, 353, 275, 13268, 630, 928, 275, 12772, 18001, 17, 313, 353, 275, 4923, 3312, 17, 329, 308, 353, 20083, 278, 677, 11492, 3324, 322, 19917, 435, 19, 29, 5839, 6074, 1794, 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, 4656, 2152, 11720, 1003, 12845, 24, 309, 164, 36976, 48, 789, 204, 204, 1380, 1165, 204, 204, 3070, 273, 6659, 630, 18881, 48, 17, 275, 7942, 12772, 353, 630, 8025, 23985, 17, 928, 353, 10701, 3651, 22494, 19, 334, 6747, 677, 3776, 3312, 353, 14811, 473, 1144, 17, 329, 1163, 7942, 12772, 919, 353, 630, 5106, 23985, 17, 928, 353, 292, 275, 9455, 3702, 11651, 19, 204, 204, 1380, 36263, 302, 20083, 278, 677, 41471, 7422, 204, 204, 673, 3938, 867, 10819, 560, 15192, 39695, 20083, 278, 292, 1916, 7723, 1609, 523, 33823, 5978, 1906, 19, 20083, 278, 6028, 275, 1352, 302, 37942, 47349, 10291, 302, 273, 29602, 1174, 3702, 12769, 292, 15682, 13471, 19, 204, 204, 1380, 30333, 88, 204, 204, 22, 19, 930, 3728, 353, 20083, 278, 677, 7422, 9390, 204, 37316, 278, 677, 3938, 3584, 496, 275, 5218, 18, 3825, 12772, 5825, 348, 1792, 10024, 1120, 7942, 630, 1792, 26827, 17, 928, 529, 30016, 11832, 311, 275, 3312, 19, 204, 23, 19, 930, 7874, 273, 5218, 2484, 16935, 12772, 9390, 204, 12950, 17, 830, 2828, 16935, 12772, 5575, 311, 1017, 3312, 19, 332, 5218, 2484, 353, 437, 10495, 1491, 726, 496, 11280, 4451, 830, 26865, 12772, 329, 47544, 15682, 12772, 292, 273, 7346, 11651, 19, 204, 24, 19, 930, 21912, 10819, 275, 2231, 348, 5218, 2484, 12772, 9390, 204, 6507, 40040, 10819, 275, 2231, 348, 5218, 2484, 12772, 17, 3556, 448, 40040, 677, 3938, 17, 292, 22063, 19, 204, 25, 19, 930, 3728, 353, 275, 2089, 348, 12772, 9390, 204, 673, 2089, 348, 12772, 353, 4443, 289, 12194, 74, 1119, 67, 25, 17, 1273, 12194, 353, 275, 10866, 22433, 18, 39, 349, 39102, 3324, 17, 332, 353, 275, 3776, 1864, 302, 275, 726, 17, 313, 353, 275, 4923, 3312, 17, 329, 318, 353, 275, 318, 8017, 3735, 19, 0, 647, 2164, 204, 647, 1875, 204, 647, 1400, 204, 647, 690, 204, 531, 10650, 25, 532, 5322, 204, 531, 7124, 19, 1443, 532, 7242, 204, 531, 5567, 532, 4942, 204, 647, 304, 204, 647, 5004, 204, 647, 9586, 204, 647, 7124, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 461, 636, 68, 9660, 68, 579, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 273, 1400, 7852, 3877, 497, 610, 323, 10284, 6033, 19, 1453, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 7852, 3877, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1274, 329, 3496, 348, 275, 824, 204, 264, 1779, 289, 379, 1942, 1963, 4537, 19, 10359, 10284, 6033, 19, 1453, 9248, 204, 264, 3496, 289, 463, 204, 268, 379, 2491, 18, 9282, 597, 379, 17094, 20, 26, 19, 21, 322, 10184, 18880, 931, 19, 21, 32, 17492, 2562, 32, 610, 2562, 14, 21738, 20, 14084, 19, 3701, 322, 21413, 17, 2090, 18996, 14, 7099, 20, 8867, 19, 21, 19, 22556, 23, 19, 8867, 20781, 20, 14084, 19, 3701, 12, 204, 264, 1211, 204, 204, 264, 314, 2878, 273, 824, 311, 275, 1274, 329, 636, 275, 958, 204, 264, 824, 289, 7242, 13, 805, 17, 3496, 34, 5093, 14, 204, 264, 958, 289, 7124, 19, 1443, 19, 21526, 13, 1443, 14, 204, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 10650, 68, 3470, 289, 5322, 13, 1935, 17, 379, 23249, 534, 204, 204, 264, 314, 763, 273, 458, 302, 3877, 8426, 497, 275, 5322, 726, 204, 264, 6344, 68, 655, 289, 636, 68, 579, 68, 655, 13, 4451, 68, 3470, 14, 204, 204, 264, 314, 5988, 273, 1400, 3877, 1995, 497, 275, 458, 204, 264, 1400, 68, 579, 289, 379, 1942, 1963, 12, 465, 1400, 19, 4352, 13, 579, 68, 655, 14, 204, 204, 264, 314, 455, 275, 7852, 3877, 448, 273, 955, 204, 264, 407, 2552, 1942, 597, 1400, 68, 579, 98, 204, 204, 461, 636, 68, 579, 68, 655, 13, 4451, 68, 3470, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 3877, 8426, 497, 275, 5322, 726, 19, 204, 204, 264, 457, 31, 204, 268, 10650, 68, 3470, 322, 18091, 330, 334, 5322, 726, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 3877, 8426, 19, 204, 264, 320, 204, 264, 314, 1752, 830, 1435, 3015, 440, 850, 379, 11230, 12, 204, 264, 6344, 68, 492, 289, 10650, 68, 3470, 19, 2269, 68, 668, 611, 997, 491, 2552, 676, 597, 379, 11230, 10419, 204, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3877, 8426, 204, 264, 6344, 68, 655, 289, 1306, 204, 204, 264, 314, 1861, 1048, 848, 1435, 1237, 204, 264, 348, 1237, 292, 6344, 68, 492, 31, 204, 268, 314, 1752, 830, 1435, 424, 292, 275, 1237, 204, 268, 6344, 68, 3709, 289, 1237, 19, 2269, 68, 668, 611, 8171, 534, 204, 204, 268, 314, 1986, 275, 3877, 1995, 329, 2054, 204, 268, 6344, 68, 898, 289, 6344, 68, 3709, 64, 22, 1664, 505, 68, 492, 374, 465, 46105, 465, 6344, 68, 3709, 64, 23, 1664, 505, 68, 492, 374, 204, 204, 268, 314, 1255, 275, 3877, 1995, 311, 275, 458, 204, 268, 6344, 68, 655, 19, 1223, 13, 579, 68, 898, 14, 204, 204, 264, 314, 455, 275, 458, 302, 3877, 8426, 204, 264, 407, 6344, 68, 655, 204, 204, 461, 636, 68, 1803, 68, 5982, 13, 11415, 31, 394, 17, 5165, 31, 421, 289, 500, 14, 393, 443, 31, 204, 264, 320, 204, 264, 763, 1813, 7192, 497, 311, 312, 27713, 19, 1453, 19, 204, 204, 264, 457, 31, 204, 268, 4541, 322, 325, 330, 334, 1813, 4541, 19, 204, 268, 5165, 322, 339, 330, 334, 5165, 348, 15096, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 2067, 204, 264, 2067, 289, 2164, 19, 5191, 374, 204, 204, 264, 314, 968, 275, 3496, 348, 275, 824, 204, 264, 3496, 289, 463, 204, 268, 379, 2491, 18, 9282, 597, 379, 17094, 20, 26, 19, 21, 322, 61, 1641, 32, 19368, 610, 7745, 68, 2562, 14, 21738, 20, 14084, 19, 3701, 322, 21413, 17, 2090, 18996, 14, 7099, 20, 8667, 19, 21, 19, 2188, 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, 4734, 19, 13151, 20781, 20, 14084, 19, 3701, 491, 204, 268, 379, 5064, 597, 379, 11472, 18, 15284, 491, 204, 268, 379, 42242, 597, 379, 4537, 19, 89, 607, 27713, 19, 1453, 491, 204, 268, 379, 26852, 270, 597, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 24605, 11415, 2508, 11415, 7068, 204, 268, 379, 1939, 597, 379, 5016, 491, 204, 268, 379, 546, 597, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 24605, 11415, 2508, 11415, 7068, 204, 268, 379, 16576, 597, 379, 3189, 12, 204, 264, 1211, 204, 204, 264, 314, 1716, 275, 2067, 3496, 204, 264, 2067, 19, 5093, 19, 2045, 13, 5093, 14, 204, 204, 264, 314, 968, 275, 1274, 348, 275, 824, 204, 264, 13002, 68, 805, 289, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 68, 2387, 24605, 5911, 2508, 5911, 14329, 2478, 34, 1775, 11, 11415, 2508, 11415, 14329, 4881, 986, 34, 4855, 11, 765, 34, 1036, 11, 712, 68, 7234, 34, 22, 11, 531, 34, 1803, 68, 7234, 7, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 440, 273, 7852, 3877, 204, 268, 13002, 289, 2067, 19, 505, 13, 5711, 68, 805, 17, 18670, 34, 505, 68, 9660, 68, 579, 1447, 204, 204, 268, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 13002, 19, 4952, 68, 1538, 68, 1835, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1198, 437, 908, 943, 397, 275, 824, 4737, 204, 268, 456, 13, 75, 7, 2862, 5585, 31, 463, 74, 743, 204, 268, 407, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 424, 289, 1875, 19, 5569, 13, 5711, 19, 492, 14, 204, 204, 264, 314, 1198, 275, 958, 424, 204, 264, 456, 13, 481, 14, 204, 204, 264, 314, 778, 397, 1422, 529, 1182, 1563, 204, 264, 397, 424, 736, 4753, 68, 9859, 839, 564, 368, 31, 204, 268, 314, 5730, 348, 273, 1400, 690, 1283, 571, 329, 720, 3331, 204, 268, 690, 19, 4867, 13, 2017, 19, 2017, 374, 540, 435, 465, 571, 14, 204, 204, 268, 314, 8276, 2428, 275, 741, 440, 275, 1682, 5165, 204, 268, 636, 68, 1803, 68, 5982, 13, 11415, 17, 5165, 465, 1199, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 4889, 275, 741, 440, 275, 4541, 379, 83, 10593, 1257, 12, 204, 264, 636, 68, 1803, 68, 5982, 611, 83, 10593, 1257, 534, 204, 0, 647, 690, 204, 531, 1498, 532, 783, 17, 1884, 17, 1535, 204, 531, 1264, 24, 532, 45739, 14181, 17, 4253, 17, 4275, 17, 36433, 204, 531, 2454, 532, 23021, 17, 5925, 204, 204, 676, 25854, 39132, 31, 204, 264, 320, 38, 850, 311, 13541, 7045, 1025, 273, 1883, 496, 618, 444, 1376, 560, 275, 2747, 24, 7815, 426, 419, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 8123, 31, 783, 64, 325, 648, 724, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 25854, 39132, 440, 275, 800, 8123, 329, 724, 700, 19, 204, 204, 268, 457, 31, 204, 268, 8123, 322, 1218, 64, 325, 1037, 334, 458, 302, 2220, 2724, 19, 204, 268, 724, 322, 339, 330, 334, 724, 700, 19, 204, 268, 320, 204, 268, 370, 19, 15252, 289, 8123, 204, 268, 370, 19, 80, 289, 724, 204, 268, 370, 19, 4415, 68, 655, 289, 1306, 204, 204, 264, 436, 2736, 68, 44999, 68, 22038, 13, 327, 14, 393, 726, 31, 204, 268, 320, 44575, 275, 31667, 2089, 1279, 204, 268, 314, 5581, 302, 2736, 68, 44999, 68, 22038, 204, 204, 264, 436, 2736, 68, 6814, 68, 10856, 13, 327, 17, 4094, 31, 783, 64, 325, 648, 353, 68, 6418, 31, 1109, 14, 393, 726, 31, 204, 268, 320, 204, 268, 6071, 275, 4094, 6120, 19, 204, 204, 268, 457, 31, 204, 268, 4094, 322, 1218, 64, 325, 1037, 334, 4094, 311, 1900, 275, 6120, 348, 19, 204, 268, 353, 68, 6418, 322, 2107, 330, 2266, 275, 4094, 353, 2140, 521, 2917, 19, 204, 204, 268, 475, 31, 204, 268, 726, 31, 334, 4489, 6120, 19, 204, 268, 320, 204, 268, 314, 5581, 302, 2736, 68, 6814, 68, 10856, 204, 204, 264, 436, 1900, 68, 8313, 68, 10856, 13, 327, 14, 393, 726, 31, 204, 268, 320, 44575, 275, 4610, 6120, 1279, 204, 268, 314, 5581, 302, 1900, 68, 8313, 68, 10856, 204, 204, 264, 436, 456, 68, 8313, 68, 1867, 68, 765, 13, 327, 14, 393, 443, 31, 204, 268, 320, 27145, 275, 4610, 1435, 1040, 1279, 204, 268, 314, 5581, 302, 456, 68, 8313, 68, 1867, 68, 765, 204, 204, 461, 1151, 68, 553, 13, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 758, 744, 204, 264, 320, 204, 264, 4143, 273, 510, 329, 2584, 273, 458, 302, 7045, 329, 273, 758, 302, 2220, 2724, 19, 204, 204, 264, 457, 31, 204, 264, 832, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 758, 744, 332, 927, 1174, 273, 458, 302, 7045, 329, 273, 758, 302, 2220, 2724, 19, 204, 264, 320, 204, 264, 7045, 289, 1306, 204, 264, 2220, 68, 8485, 289, 758, 374, 204, 264, 440, 1451, 13, 546, 14, 448, 510, 31, 204, 268, 348, 1007, 292, 510, 31, 204, 305, 1007, 289, 1007, 19, 2892, 374, 204, 305, 4094, 289, 1007, 19, 1590, 22620, 204, 305, 7045, 19, 1223, 13, 6814, 14, 204, 305, 2220, 68, 8485, 19, 2045, 13, 6814, 14, 204, 264, 407, 7045, 17, 2220, 68, 8485, 204, 204, 461, 636, 68, 6418, 68, 416, 68, 4721, 68, 10397, 13, 1075, 68, 546, 31, 394, 17, 7521, 68, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 2140, 329, 2917, 7045, 497, 275, 800, 1860, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 546, 322, 325, 330, 334, 832, 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, 2140, 7045, 510, 19, 204, 264, 7521, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2917, 7045, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 1050, 68, 10397, 17, 1050, 68, 5271, 68, 8485, 289, 1151, 68, 553, 13, 1075, 68, 546, 14, 204, 264, 7521, 68, 10397, 17, 7521, 68, 5271, 68, 8485, 289, 1151, 68, 553, 13, 10349, 68, 546, 14, 204, 264, 2220, 68, 8485, 289, 2282, 13, 655, 13, 1075, 68, 5271, 68, 8485, 2343, 7521, 68, 5271, 68, 8485, 602, 204, 264, 407, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 204, 204, 461, 636, 68, 6418, 68, 10397, 13, 553, 68, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 2140, 7045, 497, 275, 800, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 7045, 17, 2220, 68, 8485, 289, 1151, 68, 553, 13, 553, 68, 546, 14, 204, 264, 407, 7045, 17, 2282, 13, 655, 13, 5271, 68, 8485, 602, 204, 204, 461, 1900, 68, 22038, 13, 1075, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 7521, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 24994, 31, 25854, 39132, 14, 393, 726, 31, 204, 264, 320, 204, 264, 6071, 275, 2089, 1609, 523, 275, 2140, 329, 2917, 7045, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2140, 7045, 19, 204, 264, 7521, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2917, 7045, 19, 204, 264, 24994, 322, 32165, 39132, 330, 334, 25854, 39132, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 726, 31, 334, 4489, 2089, 19, 204, 264, 320, 204, 264, 314, 31667, 2089, 204, 264, 303, 68, 22038, 289, 24994, 19, 2721, 68, 44999, 68, 22038, 374, 204, 264, 314, 2140, 7045, 393, 6120, 204, 264, 348, 4094, 292, 1050, 68, 10397, 31, 204, 268, 406, 289, 24994, 204, 268, 406, 19, 2721, 68, 6814, 68, 10856, 13, 6814, 17, 959, 14, 204, 615, 264, 24994, 19, 2102, 68, 8313, 68, 1867, 68, 765, 374, 204, 204, 264, 2089, 68, 1075, 289, 24994, 19, 4776, 68, 8313, 68, 10856, 374, 204, 264, 314, 2917, 7045, 393, 6120, 716, 264, 2089, 68, 10349, 68, 655, 289, 551, 41841, 14181, 13, 1021, 2395, 204, 264, 348, 4094, 292, 7521, 68, 10397, 31, 204, 268, 406, 289, 24994, 204, 268, 406, 68, 5491, 289, 406, 19, 2721, 68, 6814, 68, 10856, 13, 6814, 17, 1078, 14, 204, 268, 2089, 68, 10349, 68, 655, 19, 1223, 13, 2204, 13, 274, 68, 5491, 602, 204, 264, 2089, 68, 10349, 289, 4253, 13, 22038, 68, 10349, 68, 655, 14, 204, 264, 314, 830, 6120, 204, 264, 2089, 289, 4253, 13, 73, 68, 22038, 17, 2089, 68, 1075, 17, 2089, 68, 10349, 14, 204, 264, 407, 2089, 204, 204, 461, 2616, 68, 22038, 13, 22038, 31, 726, 14, 393, 443, 31, 204, 264, 320, 204, 264, 23093, 275, 800, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 2089, 322, 1386, 330, 334, 2089, 311, 2616, 19, 204, 264, 320, 204, 264, 11355, 289, 36433, 374, 204, 264, 11355, 19, 826, 13, 22038, 14, 204, 264, 722, 289, 11355, 19, 2555, 374, 204, 264, 397, 394, 13, 1300, 14, 564, 388, 15512, 559, 204, 268, 309, 289, 11355, 19, 809, 374, 204, 268, 397, 1245, 13, 32165, 39132, 19, 15252, 14, 962, 571, 329, 25854, 39132, 19, 80, 962, 571, 31, 204, 305, 348, 376, 292, 25854, 39132, 19, 4415, 68, 655, 31, 204, 485, 456, 24833, 2829, 14761, 2478, 13, 91, 17, 309, 64, 91, 4513, 204, 264, 1677, 394, 13, 1300, 14, 564, 388, 8734, 269, 559, 204, 268, 456, 499, 6217, 33966, 431, 204, 204, 461, 1660, 22, 13, 1075, 68, 546, 31, 394, 17, 7521, 68, 546, 31, 1535, 64, 325, 694, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 537, 1860, 329, 2584, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2140, 7045, 510, 19, 204, 264, 7521, 68, 546, 322, 4437, 64, 325, 1037, 334, 832, 311, 275, 2917, 7045, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 397, 7521, 68, 546, 353, 443, 31, 204, 268, 1050, 68, 10397, 17, 2220, 68, 8485, 289, 636, 68, 6418, 68, 10397, 13, 1075, 68, 546, 14, 204, 268, 7521, 68, 10397, 289, 1306, 204, 264, 902, 31, 204, 268, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 289, 636, 68, 6418, 68, 416, 68, 4721, 68, 10397, 13, 1075, 68, 546, 17, 7521, 68, 546, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 22, 14283, 3096, 31, 8123, 36981, 1050, 68, 10397, 36981, 7521, 68, 10397, 36981, 690, 2264, 31, 22211, 25, 75, 14303, 2478, 13, 1796, 13, 5271, 68, 8485, 659, 1245, 13, 1075, 68, 10397, 659, 1245, 13, 10349, 68, 10397, 659, 322, 409, 18, 1530, 3694, 204, 264, 407, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 204, 204, 461, 1660, 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, 13, 1075, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 7521, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 2220, 68, 8485, 31, 783, 64, 325, 648, 724, 31, 421, 14, 393, 726, 31, 204, 264, 320, 204, 264, 1865, 275, 25854, 39132, 329, 12015, 275, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2140, 7045, 19, 204, 264, 7521, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2917, 7045, 19, 204, 264, 2220, 68, 8485, 322, 1218, 64, 325, 1037, 334, 458, 302, 2220, 2724, 19, 204, 264, 724, 322, 339, 330, 334, 724, 700, 19, 204, 204, 264, 475, 31, 204, 264, 726, 31, 334, 4489, 2089, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 24994, 289, 25854, 39132, 13, 5271, 68, 8485, 17, 724, 14, 204, 264, 2089, 289, 1900, 68, 22038, 13, 1075, 68, 10397, 17, 7521, 68, 10397, 17, 24994, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 23, 35396, 9964, 48423, 31, 8123, 36981, 1050, 68, 10397, 36981, 7521, 68, 10397, 36981, 690, 2264, 31, 22211, 25, 75, 14303, 2478, 13, 1796, 13, 5271, 68, 8485, 659, 1245, 13, 1075, 68, 10397, 659, 1245, 13, 10349, 68, 10397, 659, 322, 409, 18, 1530, 3694, 204, 264, 407, 2089, 204, 204, 461, 1660, 24, 13, 22038, 31, 726, 14, 393, 443, 31, 204, 264, 320, 204, 264, 23093, 275, 800, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 2089, 322, 1386, 330, 334, 2089, 311, 2616, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 2616, 68, 22038, 13, 22038, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 24, 387, 4755, 59, 3096, 31, 724, 36981, 8123, 36981, 690, 2264, 31, 22211, 25, 75, 98, 88, 2948, 2478, 13, 32165, 39132, 19, 80, 17, 1245, 13, 32165, 39132, 19, 15252, 659, 322, 409, 18, 1530, 3694, 204, 204, 461, 2252, 68, 4983, 374, 393, 1884, 64, 325, 17, 1535, 64, 325, 648, 421, 744, 204, 264, 320, 204, 264, 9246, 275, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 325, 17, 1535, 64, 325, 648, 421, 744, 332, 927, 1174, 275, 2140, 7045, 510, 832, 17, 2917, 7045, 510, 832, 17, 329, 724, 700, 19, 204, 264, 320, 204, 264, 2571, 72, 289, 1245, 13, 4983, 14, 204, 264, 397, 2571, 72, 2186, 435, 521, 2571, 72, 3721, 720, 31, 204, 268, 456, 499, 12534, 31, 5415, 14018, 68, 15564, 19, 948, 1050, 68, 546, 17, 724, 431, 204, 268, 456, 499, 521, 5415, 14018, 68, 15564, 19, 948, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 431, 204, 268, 5925, 13, 21, 14, 204, 204, 264, 1050, 68, 546, 289, 23021, 64, 22, 66, 204, 264, 7521, 68, 546, 289, 443, 204, 264, 397, 1245, 13, 4983, 14, 564, 681, 31, 204, 268, 7521, 68, 546, 289, 23021, 64, 23, 66, 204, 204, 264, 724, 289, 421, 13, 4983, 3327, 22, 694, 204, 264, 407, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 204, 204, 461, 1523, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 2548, 19, 204, 264, 320, 204, 264, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 289, 2252, 68, 4983, 374, 204, 264, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 289, 1660, 22, 13, 1075, 68, 546, 17, 7521, 68, 546, 14, 204, 264, 2089, 289, 1660, 23, 13, 1075, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 17, 724, 14, 204, 264, 397, 1245, 13, 5271, 68, 8485, 14, 962, 571, 329, 724, 962, 571, 31, 204, 268, 456, 13, 22038, 14, 204, 264, 1660, 24, 13, 22038, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1523, 374, 204, 0, 531, 4305, 532, 14131, 204, 204, 461, 1020, 68, 10057, 68, 1205, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1277, 302, 275, 15979, 6596, 292, 275, 4048, 2355, 302, 368, 20, 83, 19, 204, 204, 264, 457, 31, 204, 264, 300, 322, 339, 330, 334, 5081, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1277, 302, 275, 15979, 6596, 19, 475, 338, 22, 397, 1422, 353, 1236, 15979, 6596, 19, 204, 264, 320, 204, 264, 314, 778, 397, 300, 353, 2962, 311, 4516, 4854, 560, 2962, 908, 204, 264, 397, 300, 564, 500, 31, 204, 268, 980, 9651, 499, 10219, 3281, 560, 2962, 431, 204, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 25230, 329, 1017, 3310, 3265, 204, 264, 25230, 289, 2087, 204, 264, 6576, 289, 368, 1564, 300, 204, 264, 1502, 289, 500, 204, 204, 264, 314, 13818, 3119, 572, 1020, 273, 15979, 6576, 521, 275, 6576, 6401, 2962, 204, 264, 1335, 6576, 508, 292, 25230, 329, 6576, 2167, 500, 31, 204, 268, 314, 6993, 275, 790, 6576, 329, 1163, 1502, 204, 268, 25230, 64, 19949, 66, 289, 1502, 204, 268, 314, 1716, 275, 6576, 204, 268, 6576, 289, 322, 1003, 540, 6576, 14, 1564, 300, 204, 268, 314, 7415, 275, 1502, 204, 268, 1502, 1412, 368, 204, 204, 264, 314, 828, 275, 6576, 353, 2962, 17, 1422, 353, 1236, 15979, 6596, 204, 264, 397, 6576, 564, 500, 31, 204, 268, 407, 338, 22, 204, 264, 314, 9444, 17, 407, 275, 1277, 302, 275, 15979, 6596, 204, 264, 902, 31, 204, 268, 407, 1502, 338, 25230, 64, 19949, 66, 204, 204, 204, 676, 1295, 31197, 10746, 13, 5418, 330, 204, 264, 320, 204, 264, 1295, 1322, 348, 275, 1020, 68, 10057, 68, 1205, 741, 19, 204, 264, 320, 204, 264, 436, 683, 68, 2269, 68, 10057, 68, 1205, 13, 327, 330, 204, 268, 320, 204, 268, 1295, 275, 1020, 68, 10057, 68, 1205, 741, 440, 4109, 3806, 19, 204, 268, 320, 204, 268, 314, 1295, 2910, 440, 1812, 6360, 204, 268, 683, 68, 3871, 289, 551, 204, 305, 322, 24, 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, 368, 659, 204, 305, 322, 3268, 17, 435, 659, 204, 305, 322, 2132, 27015, 17, 338, 22, 659, 204, 305, 322, 9579, 17, 5436, 659, 204, 305, 322, 36218, 17, 15804, 659, 204, 305, 322, 4452, 17, 338, 22, 659, 204, 305, 322, 5839, 17, 13748, 659, 204, 305, 322, 1794, 17, 1916, 659, 204, 305, 322, 14362, 17, 571, 659, 204, 305, 322, 9287, 17, 2989, 659, 204, 305, 322, 9032, 17, 14478, 659, 204, 305, 322, 7723, 17, 2153, 659, 204, 305, 322, 9320, 17, 2247, 659, 204, 305, 322, 22370, 17, 2989, 659, 204, 305, 322, 38165, 17, 3382, 659, 204, 305, 322, 36218, 17, 15804, 659, 204, 305, 322, 27498, 17, 40640, 659, 204, 305, 322, 6655, 17, 338, 22, 659, 204, 305, 322, 29501, 17, 1916, 659, 204, 305, 322, 23, 35913, 2353, 17, 15503, 4832, 659, 204, 305, 322, 5049, 10779, 17, 15338, 2188, 659, 204, 305, 322, 7698, 1909, 7879, 17, 1168, 4635, 659, 204, 305, 322, 2898, 1641, 7723, 17, 5924, 1003, 659, 204, 305, 322, 16298, 5645, 17, 34934, 1036, 14, 204, 268, 2437, 204, 204, 268, 348, 537, 68, 876, 17, 1812, 68, 1420, 292, 683, 68, 3871, 31, 204, 305, 370, 19, 2978, 13, 2269, 68, 10057, 68, 1205, 13, 768, 68, 876, 659, 1812, 68, 1420, 14, 204, 204, 264, 436, 683, 68, 17529, 68, 1424, 68, 5306, 13, 327, 330, 204, 268, 320, 204, 268, 1295, 496, 275, 741, 10036, 273, 9651, 1330, 8631, 560, 2962, 19, 204, 268, 320, 204, 268, 440, 370, 19, 11164, 13, 23194, 9369, 330, 204, 305, 1020, 68, 10057, 68, 1205, 13, 21, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 4305, 204, 264, 4305, 19, 660, 374, 204, 0, 461, 949, 68, 2626, 68, 1205, 13, 2626, 31, 458, 1152, 927, 1152, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1277, 302, 273, 1767, 322, 655, 17, 927, 17, 521, 782, 789, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 1152, 927, 1152, 394, 330, 334, 1767, 311, 949, 275, 1277, 302, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1277, 302, 275, 1767, 17, 521, 443, 397, 275, 537, 353, 508, 273, 1767, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 537, 353, 273, 1767, 204, 268, 397, 508, 2381, 13, 2626, 17, 322, 655, 17, 927, 17, 394, 4019, 204, 305, 980, 3660, 499, 3383, 353, 508, 273, 1767, 1280, 204, 822, 268, 314, 888, 275, 1277, 302, 275, 1767, 204, 268, 1277, 289, 1245, 13, 2626, 14, 204, 268, 407, 1277, 204, 264, 827, 3660, 448, 318, 31, 204, 268, 314, 1426, 275, 908, 397, 275, 537, 353, 508, 273, 1767, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 273, 458, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 66, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 458, 204, 264, 458, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 1630, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 458, 353, 31, 463, 655, 68, 1205, 743, 204, 204, 264, 314, 968, 273, 927, 204, 264, 927, 68, 2569, 289, 322, 1641, 17, 379, 3916, 534, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 927, 204, 264, 927, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 2644, 68, 2569, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 927, 353, 31, 463, 2644, 68, 1205, 743, 204, 204, 264, 314, 968, 273, 782, 204, 264, 782, 68, 2569, 289, 388, 5975, 17, 5179, 9851, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 782, 204, 264, 782, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 1031, 68, 2569, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 782, 353, 31, 463, 1031, 68, 1205, 743, 204, 204, 264, 314, 1295, 440, 273, 1950, 18, 2626, 537, 204, 264, 1950, 68, 2626, 68, 768, 289, 12826, 204, 264, 1950, 68, 2626, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 5198, 68, 2626, 68, 768, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 1950, 18, 2626, 537, 353, 31, 463, 5198, 68, 2626, 68, 1205, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 40357, 720, 338, 1301, 368, 292, 4884, 3618, 204, 204, 3070, 437, 645, 83, 565, 47, 57, 311, 444, 292, 275, 4884, 3618, 17, 275, 2407, 353, 628, 10294, 962, 628, 15258, 271, 289, 500, 19, 25, 59, 19, 204, 204, 4377, 31, 204, 18, 29953, 289, 5106, 21325, 204, 18, 628, 6622, 289, 720, 59, 204, 18, 10125, 289, 887, 19, 4957, 11720, 1003, 7218, 1845, 14, 332, 204, 18, 12774, 289, 1607, 204, 18, 628, 57, 289, 2019, 82, 59, 204, 204, 1449, 1020, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 17, 572, 1519, 311, 4897, 496, 275, 39881, 353, 508, 292, 23911, 19, 204, 204, 673, 20237, 790, 322, 3225, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 3225, 289, 12774, 540, 38806, 204, 204, 673, 1034, 790, 322, 34946, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 34946, 289, 322, 59, 15258, 338, 500, 19, 28, 14, 802, 322, 10330, 465, 5882, 14, 204, 204, 4237, 17, 3522, 5882, 353, 508, 800, 17, 572, 1120, 732, 275, 3718, 496, 628, 10294, 962, 628, 15258, 271, 289, 500, 19, 25, 59, 311, 1020, 275, 1646, 700, 302, 628, 15258, 19, 204, 204, 673, 20237, 18, 17406, 476, 6264, 322, 59, 4552, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 59, 4552, 289, 628, 6622, 338, 26848, 540, 29953, 204, 204, 1449, 4897, 496, 275, 39881, 353, 508, 292, 23911, 17, 628, 4552, 1856, 444, 3114, 1194, 500, 19, 25, 59, 19, 204, 204, 3661, 677, 5257, 496, 628, 15258, 289, 500, 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, 28, 59, 19, 5512, 17, 275, 20237, 790, 322, 3225, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 3225, 289, 10125, 540, 318, 6023, 59, 15258, 20, 45841, 14, 540, 322, 22, 465, 628, 4552, 20, 11381, 14, 204, 204, 4592, 36785, 353, 508, 800, 17, 572, 1120, 5257, 496, 490, 353, 3060, 3403, 19, 204, 204, 3225, 289, 10125, 540, 318, 6023, 59, 15258, 20, 45841, 14, 204, 34, 887, 19, 4957, 11720, 1003, 7218, 1845, 14, 540, 318, 6023, 21, 19, 28, 20, 21, 19, 24420, 14, 204, 34, 435, 19, 3268, 35652, 204, 204, 4063, 17, 572, 618, 949, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 19, 204, 204, 59, 4552, 289, 628, 6622, 338, 26848, 540, 29953, 204, 34, 720, 338, 435, 19, 3268, 35652, 540, 5106, 204, 34, 571, 19, 29, 4049, 628, 204, 204, 4592, 628, 4552, 1323, 500, 19, 25, 59, 17, 275, 39881, 353, 508, 292, 23911, 19, 204, 204, 4063, 17, 2249, 677, 949, 275, 1646, 700, 302, 628, 15258, 19, 204, 204, 59, 10294, 289, 628, 15258, 338, 628, 4552, 204, 34, 628, 15258, 338, 571, 19, 29, 4049, 204, 204, 1449, 4897, 496, 275, 39881, 353, 292, 4884, 3618, 17, 628, 10294, 962, 500, 19, 25, 59, 19, 204, 204, 59, 15258, 338, 571, 19, 29, 4049, 962, 500, 19, 25, 204, 59, 15258, 962, 681, 19, 28416, 204, 204, 4356, 17, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 353, 5387, 681, 19, 28416, 59, 338, 500, 19, 28, 59, 289, 571, 19, 26, 4049, 59, 322, 31869, 299, 275, 13713, 700, 302, 628, 15258, 289, 500, 19, 28, 59, 348, 273, 33405, 39881, 659, 1101, 3522, 275, 13713, 700, 302, 628, 15258, 353, 3332, 500, 19, 28, 59, 17, 275, 1646, 700, 1120, 444, 2202, 1194, 808, 329, 3671, 311, 500, 19, 28, 59, 465, 500, 19, 25, 59, 289, 368, 19, 22, 59, 19, 716, 204, 4237, 17, 275, 4710, 700, 302, 1646, 628, 15258, 618, 444, 1193, 560, 974, 275, 471, 11822, 18, 50, 7774, 570, 302, 275, 39881, 329, 353, 800, 560, 31, 204, 59, 15258, 13, 1129, 14, 289, 500, 19, 28, 465, 500, 19, 25, 289, 368, 19, 22, 59, 716, 204, 27331, 17, 275, 1646, 700, 302, 628, 15258, 353, 5387, 368, 19, 22, 59, 19, 0, 647, 2164, 204, 531, 1804, 532, 1804, 204, 531, 4433, 532, 2111, 68, 3143, 17, 824, 204, 204, 531, 5583, 532, 740, 204, 531, 5583, 19, 15516, 532, 3226, 7793, 204, 531, 5583, 19, 3968, 532, 26760, 204, 531, 10608, 19, 7491, 532, 1137, 68, 4120, 204, 204, 8, 968, 3454, 348, 3312, 21718, 204, 48, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 289, 24413, 19, 1909, 204, 24519, 1815, 3322, 68, 4403, 68, 3637, 45, 24510, 4687, 2229, 289, 1233, 20, 26, 204, 204, 461, 636, 68, 8670, 68, 481, 13, 5419, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 5583, 424, 348, 275, 800, 3226, 497, 275, 43975, 1893, 19, 204, 204, 264, 457, 31, 204, 268, 3226, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3226, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 5583, 424, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 329, 2072, 204, 264, 1779, 289, 388, 1942, 1963, 2005, 19, 3664, 8670, 1608, 19, 4563, 20, 481, 20, 23, 19, 26, 20, 8670, 7, 204, 264, 3737, 289, 463, 204, 268, 388, 86, 559, 3226, 68, 417, 17, 204, 268, 388, 49097, 559, 1137, 68, 4120, 499, 4093, 528, 388, 644, 431, 204, 264, 1211, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 17, 3737, 34, 2645, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1426, 1893, 824, 2744, 204, 268, 740, 19, 3342, 19, 718, 13, 75, 7, 596, 9933, 5583, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1352, 68, 8670, 68, 481, 13, 8670, 68, 481, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 9506, 275, 5583, 424, 329, 15943, 6826, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 5583, 68, 481, 322, 873, 330, 332, 955, 1174, 275, 5583, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 4050, 5583, 424, 19, 204, 264, 320, 204, 264, 397, 5583, 68, 481, 353, 443, 31, 204, 268, 407, 443, 204, 204, 264, 314, 1986, 329, 1814, 3312, 1019, 204, 264, 846, 68, 3294, 68, 18761, 289, 5583, 68, 481, 736, 660, 4976, 3294, 68, 1129, 839, 338, 1144, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 204, 264, 846, 68, 3294, 68, 21262, 289, 846, 68, 3294, 68, 18761, 540, 346, 3668, 1815, 3322, 68, 4403, 68, 3637, 45, 24510, 4687, 2229, 465, 4236, 204, 264, 5506, 68, 3294, 68, 18761, 289, 5583, 68, 481, 736, 660, 4976, 2970, 961, 68, 4995, 839, 338, 1144, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 204, 204, 264, 314, 666, 273, 955, 440, 275, 4050, 5583, 424, 204, 264, 407, 463, 204, 268, 388, 5419, 417, 559, 959, 17, 204, 268, 388, 18761, 559, 4672, 13, 996, 13, 1129, 68, 3294, 68, 18761, 3917, 204, 268, 388, 672, 559, 1804, 19, 1520, 1528, 672, 2144, 204, 268, 388, 21262, 559, 4672, 13, 1129, 68, 3294, 68, 21262, 659, 204, 268, 388, 5419, 559, 5583, 68, 481, 736, 417, 2043, 204, 268, 388, 7199, 559, 5583, 68, 481, 736, 4807, 4976, 7199, 2043, 204, 268, 388, 2970, 404, 559, 4672, 13, 996, 13, 2970, 404, 68, 3294, 68, 18761, 3917, 204, 268, 388, 12953, 68, 5195, 559, 5583, 68, 481, 736, 12953, 4976, 5195, 2043, 204, 268, 388, 8670, 559, 5583, 68, 481, 736, 8670, 6970, 21, 6690, 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, 2749, 3750, 1778, 2144, 204, 268, 388, 14746, 559, 5583, 68, 481, 736, 660, 4976, 14746, 2043, 204, 268, 388, 21736, 559, 5583, 68, 481, 736, 660, 4976, 21736, 2043, 204, 268, 388, 22642, 559, 5583, 68, 481, 736, 22642, 839, 204, 264, 1211, 204, 204, 461, 636, 68, 2305, 68, 3348, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 475, 273, 955, 440, 1540, 1019, 348, 275, 5583, 2085, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 440, 1540, 1019, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 379, 672, 597, 1804, 19, 1520, 1528, 672, 2144, 204, 268, 388, 5419, 417, 559, 1078, 17, 204, 268, 379, 18761, 597, 379, 2438, 18, 4750, 204, 268, 379, 7199, 597, 379, 2438, 18, 4750, 204, 268, 388, 5419, 559, 379, 2438, 18, 4750, 204, 268, 379, 21262, 597, 379, 2438, 18, 4750, 204, 268, 379, 2970, 404, 597, 379, 2438, 18, 4750, 204, 268, 379, 12953, 68, 5195, 597, 379, 2438, 18, 4750, 204, 268, 379, 8670, 597, 379, 2438, 18, 4750, 204, 268, 379, 14746, 597, 379, 2438, 18, 4750, 204, 268, 379, 21736, 597, 379, 2438, 18, 4750, 204, 268, 379, 22642, 597, 379, 2438, 18, 9248, 204, 264, 1211, 204, 204, 37, 748, 19, 3955, 13, 11326, 736, 660, 68, 2225, 2043, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 5419, 7793, 204, 461, 636, 68, 8670, 374, 393, 394, 31, 204, 264, 320, 204, 264, 5133, 4559, 329, 6379, 2164, 311, 275, 667, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2966, 2399, 19, 204, 264, 320, 204, 264, 314, 778, 397, 273, 3226, 588, 353, 1917, 292, 275, 824, 204, 264, 397, 824, 19, 1038, 19, 505, 499, 5419, 6471, 204, 268, 3226, 68, 417, 289, 824, 19, 1038, 19, 505, 499, 5419, 5561, 1778, 374, 204, 268, 5583, 68, 481, 289, 636, 68, 8670, 68, 481, 13, 5419, 68, 417, 14, 204, 268, 2085, 289, 1352, 68, 8670, 68, 481, 13, 8670, 68, 481, 14, 204, 264, 902, 31, 204, 268, 2085, 289, 636, 68, 2305, 68, 3348, 374, 204, 204, 264, 314, 4784, 275, 5583, 2399, 440, 275, 2085, 204, 264, 407, 2111, 68, 3143, 499, 8670, 19, 2079, 528, 2085, 34, 3348, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 14206, 9764, 46436, 302, 12415, 204, 39547, 529, 13666, 275, 1901, 21050, 4193, 329, 1064, 2927, 17869, 302, 12415, 19, 204, 18, 412, 3901, 429, 10470, 552, 4340, 2317, 7149, 19700, 1678, 19, 32781, 15636, 309, 6497, 36203, 15683, 20839, 19, 1131, 275, 4450, 302, 10610, 309, 1422, 353, 273, 5789, 309, 2482, 20300, 2317, 334, 10267, 17, 6043, 685, 311, 275, 1451, 8469, 19, 1058, 20386, 4193, 2852, 869, 13861, 1910, 21216, 1291, 17, 20825, 7740, 680, 1147, 43051, 311, 275, 4245, 19, 204, 18, 4613, 14118, 9401, 5267, 2317, 3537, 15955, 19, 368, 17, 25, 4049, 309, 14977, 21518, 2317, 11512, 287, 13450, 17, 275, 1698, 4193, 8525, 2706, 292, 12415, 19, 1058, 353, 25687, 8797, 15084, 440, 5487, 29, 4968, 4680, 329, 12787, 6555, 4680, 19, 592, 1910, 7777, 292, 275, 21518, 353, 11482, 4921, 302, 814, 638, 3418, 329, 40556, 19, 1131, 3406, 1051, 44684, 4680, 302, 6415, 2317, 565, 360, 3533, 32130, 731, 71, 32886, 19, 204, 18, 45497, 362, 28606, 1133, 2317, 2991, 18515, 19, 15656, 22694, 17, 2202, 1194, 720, 17, 1207, 2181, 3299, 5800, 46041, 19, 22748, 353, 10405, 19, 29, 309, 17, 4450, 2317, 2153, 19, 29, 309, 19, 35266, 275, 46041, 3848, 353, 9455, 275, 10987, 336, 4147, 1966, 560, 275, 26810, 19, 204, 18, 19845, 8495, 40423, 18515, 2317, 2991, 18515, 19, 592, 275, 15028, 1653, 302, 275, 11128, 19585, 15955, 618, 444, 1193, 8305, 302, 13598, 17, 25414, 8529, 8495, 12451, 322, 14829, 19779, 40423, 14, 2317, 275, 1698, 1702, 1020, 292, 275, 2688, 19, 15579, 1795, 8305, 529, 719, 311, 5789, 5279, 12292, 19, 1547, 869, 1742, 1376, 448, 273, 32967, 2861, 292, 27747, 12415, 19, 415, 7334, 24411, 1966, 560, 275, 5800, 302, 3403, 26082, 704, 19, 204, 18, 595, 28218, 2439, 18, 45, 12872, 2317, 472, 1678, 94, 328, 19, 13884, 447, 3287, 1020, 302, 36299, 302, 33678, 860, 1115, 302, 31189, 2317, 32125, 912, 310, 78, 19, 4171, 7160, 12208, 275, 2652, 497, 3623, 1609, 7160, 311, 12724, 18, 11561, 7160, 19, 15656, 22694, 36299, 529, 8441, 292, 25444, 21251, 16891, 19, 204, 18, 595, 28218, 9401, 22264, 291, 41255, 2317, 472, 1678, 94, 328, 19, 15579, 1795, 2263, 10561, 292, 12415, 17, 1627, 302, 11728, 12150, 523, 1429, 887, 2317, 931, 309, 6592, 10469, 19, 7867, 1853, 2202, 1194, 931, 309, 19, 204, 18, 595, 28218, 387, 1311, 298, 46947, 2317, 3537, 15955, 19, 334, 1901, 13654, 3556, 22588, 292, 12415, 17, 1093, 3409, 336, 440, 840, 280, 19513, 1015, 19, 46947, 353, 1429, 16106, 309, 2482, 19, 204, 2938, 2927, 17869, 204, 18, 392, 429, 530, 10581, 3620, 2317, 2991, 18515, 19, 25428, 5465, 292, 273, 798, 302, 3620, 17, 497, 3332, 7332, 473, 10355, 17, 15469, 275, 17294, 19590, 35428, 325, 8377, 787, 28802, 292, 2688, 19, 204, 18, 46947, 302, 7338, 449, 22155, 2317, 2991, 18515, 19, 48340, 1429, 931, 17, 1207, 2181, 3299, 22588, 1838, 11263, 23926, 1880, 19, 4682, 1163, 13209, 17334, 448, 273, 8864, 348, 432, 1261, 302, 7515, 3731, 19, 17801, 311, 490, 16189, 46947, 302, 275, 2695, 21048, 17, 440, 26275, 302, 641, 21048, 497, 13777, 2317, 28332, 10355, 19, 204, 2021, 7866, 26104, 7850, 204, 18, 332, 1424, 22441, 2317, 387, 2981, 616, 19, 27747, 3226, 17, 7634, 1182, 1194, 13777, 2181, 8518, 19, 5028, 302, 275, 1901, 3287, 10033, 2887, 33027, 1439, 292, 22558, 12415, 17, 3287, 5012, 13535, 19, 48340, 42776, 302, 12787, 44343, 11773, 17, 1702, 448, 275, 17653, 302, 1359, 78, 382, 19, 204, 18, 10432, 1941, 70, 2317, 5134, 12005, 19, 23205, 3226, 928, 867, 7634, 560, 3844, 42390, 26795, 3486, 269, 278, 3332, 2989, 9287, 10355, 329, 9759, 26613, 19, 8187, 867, 28329, 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, 717, 13709, 7634, 560, 26795, 3486, 269, 278, 19, 35553, 311, 1163, 3697, 3511, 17, 275, 11666, 302, 275, 3226, 869, 1742, 2590, 22694, 19, 48340, 11031, 1348, 302, 1838, 19458, 292, 10432, 1941, 70, 6060, 17, 928, 353, 1182, 28263, 1194, 275, 9293, 26104, 1838, 19, 204, 18, 502, 2779, 847, 2317, 47508, 19, 334, 1043, 7695, 302, 20974, 12415, 292, 275, 2666, 302, 13448, 20318, 19, 7948, 3764, 3332, 18133, 10355, 329, 29241, 19264, 630, 41033, 10355, 17, 867, 1051, 302, 275, 1043, 2887, 33027, 1439, 292, 275, 2688, 19, 48340, 40922, 1372, 302, 12787, 15646, 9901, 17, 2864, 4569, 24834, 88, 302, 415, 28458, 329, 1910, 904, 36825, 17, 9584, 22344, 11014, 507, 12831, 22571, 17, 23516, 12997, 33534, 19, 204, 18, 334, 7008, 2317, 12415, 17, 480, 6517, 276, 19, 4385, 270, 7695, 302, 12415, 292, 275, 2666, 302, 14531, 329, 2991, 8503, 45344, 17, 1051, 302, 275, 17338, 2887, 33027, 1439, 292, 275, 2688, 19, 592, 17543, 2197, 3332, 571, 2825, 10355, 2317, 13451, 10355, 19, 8187, 3192, 42776, 302, 12787, 11773, 302, 2688, 8622, 17, 2864, 275, 24834, 302, 22446, 890, 15623, 17, 361, 9482, 277, 328, 17, 480, 6517, 276, 24834, 17, 24834, 302, 552, 2103, 267, 2554, 312, 17, 45582, 302, 8925, 5198, 19, 204, 2021, 7866, 26104, 36825, 204, 18, 412, 2581, 70, 24834, 322, 5939, 527, 302, 552, 434, 276, 14, 2317, 1301, 17191, 19, 5028, 302, 275, 2765, 22694, 27747, 26104, 36825, 292, 12415, 19, 9881, 5343, 867, 5082, 292, 415, 633, 280, 365, 323, 2666, 17, 1101, 16189, 523, 275, 31774, 497, 275, 5789, 427, 2317, 2019, 427, 6129, 10355, 19, 8278, 867, 1193, 1264, 30655, 45530, 380, 19, 204, 18, 471, 1695, 90, 24834, 2317, 3242, 19505, 19, 15656, 22694, 17653, 17, 5082, 1283, 435, 4462, 329, 14811, 10355, 17, 275, 2765, 22694, 27747, 26104, 17653, 19, 204, 18, 552, 607, 18, 6473, 18, 53, 28458, 322, 45, 38142, 18, 41317, 18, 53, 530, 17, 11128, 24834, 302, 415, 28458, 14, 2317, 501, 33186, 19, 334, 1901, 3287, 17653, 302, 27747, 12415, 17, 28329, 311, 275, 13555, 302, 15597, 6971, 19, 1058, 867, 23980, 17653, 292, 275, 13535, 302, 502, 2779, 847, 19, 9419, 2709, 2842, 34708, 42776, 17, 1101, 3237, 1466, 10921, 3287, 47061, 17, 318, 19, 76, 19, 44343, 32496, 302, 297, 19202, 322, 21280, 38244, 10355, 659, 1792, 21108, 47061, 19, 471, 48382, 3403, 867, 275, 2958, 309, 2223, 329, 19736, 17128, 12292, 32496, 302, 361, 341, 6731, 8392, 19, 204, 18, 1144, 1941, 934, 24834, 12503, 2317, 480, 6517, 276, 19, 9139, 1679, 302, 1051, 302, 275, 667, 36825, 292, 275, 7695, 302, 27747, 12415, 17, 4794, 10033, 17653, 3700, 292, 275, 2688, 19, 17362, 2156, 302, 3420, 4376, 3576, 17, 1273, 275, 2680, 72, 6149, 302, 28219, 17, 2680, 72, 6149, 302, 18429, 90, 17, 24834, 302, 48292, 5705, 1558, 16605, 329, 275, 2765, 3556, 2317, 2680, 72, 6149, 302, 332, 9479, 18, 1252, 19, 24834, 867, 4884, 348, 4013, 278, 1257, 19, 48340, 12787, 27883, 3695, 17, 318, 19, 76, 19, 8501, 2288, 2859, 18085, 440, 38962, 16686, 2630, 17, 1273, 1598, 2630, 529, 4839, 309, 14977, 17, 440, 273, 8035, 1048, 2327, 6166, 19, 4161, 275, 1913, 302, 1605, 2630, 529, 6787, 17128, 12292, 4725, 286, 321, 1405, 19, 204, 18, 480, 6517, 276, 24834, 2317, 480, 6517, 276, 19, 9083, 24706, 42776, 302, 437, 10033, 17653, 17, 928, 867, 18321, 8489, 3332, 38244, 10355, 19, 5028, 302, 275, 667, 36825, 292, 275, 7695, 302, 27747, 12415, 19, 204, 18, 3983, 7375, 731, 18, 48, 31476, 449, 322, 5939, 527, 302, 552, 434, 276, 14, 2317, 7149, 19700, 1678, 19, 27747, 26104, 13618, 411, 21778, 23260, 329, 2852, 302, 275, 24834, 302, 552, 434, 276, 19, 8278, 874, 1742, 1193, 292, 1071, 1347, 302, 1158, 633, 18, 37367, 1836, 323, 3467, 2317, 15469, 275, 1043, 8123, 292, 275, 2688, 19, 204, 18, 24834, 302, 10432, 7132, 2317, 2991, 18515, 19, 334, 17294, 26104, 17653, 292, 392, 539, 1257, 17, 11352, 8489, 3332, 2905, 1719, 10355, 19, 48340, 357, 11182, 1399, 20918, 17712, 88, 19, 24834, 353, 10094, 5501, 1429, 435, 19, 26, 5437, 497, 1163, 2171, 2852, 3913, 311, 3242, 19505, 37572, 19, 204, 18, 24834, 302, 412, 934, 6473, 2317, 3242, 19505, 19, 13100, 395, 18, 37553, 17653, 17, 18042, 311, 313, 3570, 17, 6911, 292, 275, 571, 10988, 6129, 10355, 560, 392, 539, 4825, 329, 40623, 19, 31764, 560, 27456, 17, 1415, 5082, 273, 10581, 5999, 3332, 490, 19, 21743, 1425, 448, 273, 10927, 11575, 19, 5305, 1462, 311, 273, 717, 2481, 311, 4516, 275, 29900, 560, 3242, 19505, 37572, 19, 204, 18, 24834, 302, 412, 5823, 2317, 2991, 18515, 19, 1058, 11118, 18, 3533, 17653, 867, 5082, 292, 275, 2666, 302, 361, 341, 6731, 8392, 292, 20974, 392, 539, 1257, 19, 48340, 357, 11182, 1399, 20918, 17712, 88, 19, 791, 12106, 311, 273, 717, 2481, 292, 32964, 311, 4516, 275, 29900, 19, 204, 18, 24834, 302, 4208, 360, 523, 3844, 11671, 74, 2317, 3537, 15955, 19, 27747, 26104, 17653, 630, 275, 6867, 346, 10034, 773, 302, 37386, 4789, 3242, 19505, 17, 1283, 12415, 329, 392, 539, 1257, 19, 5128, 336, 1429, 15056, 10355, 329, 25851, 3119, 275, 887, 427, 6129, 9656, 19, 5424, 275, 5343, 302, 3242, 19505, 37572, 867, 33555, 311, 275, 15182, 13940, 302, 7379, 7817, 1257, 19, 204, 18, 24834, 302, 23628, 429, 11481, 2317, 3242, 19505, 19, 1628, 16744, 17653, 17, 5082, 3332, 2468, 10355, 19, 5028, 302, 275, 48738, 26104, 9901, 292, 392, 539, 1257, 17, 28329, 311, 39751, 335, 360, 2317, 392, 539, 1516, 13555, 302, 12536, 19, 48340, 11150, 10581, 2147, 41552, 19, 791, 12106, 19, 204, 18, 595, 28218, 3077, 18, 3047, 2142, 70, 322, 52, 90, 28218, 20289, 2135, 71, 493, 3901, 14, 2317, 3242, 19505, 19, 22759, 26104, 17653, 17, 5082, 292, 275, 2666, 302, 48292, 5705, 1558, 15623, 292, 20974, 392, 539, 1257, 17, 11586, 560, 361, 341, 6731, 8392, 19, 2208, 336, 1025, 273, 10927, 11575, 292, 275, 720, 427, 6129, 9656, 19, 791, 12106, 311, 4516, 275, 29900, 560, 3242, 19505, 37572, 17, 3192, 15646, 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, 17712, 88, 19, 204, 2021, 7866, 26104, 12818, 8306, 36825, 204, 1834, 458, 6019, 36825, 5082, 311, 376, 674, 316, 275, 38680, 1428, 42390, 88, 302, 12415, 19, 204, 18, 332, 2142, 4590, 14118, 36825, 2317, 3242, 19505, 19, 7609, 23980, 11118, 18, 3533, 36825, 17, 5082, 560, 1428, 42390, 361, 341, 6731, 8392, 292, 275, 2989, 427, 6129, 10355, 19, 791, 12106, 292, 275, 18098, 88, 523, 437, 1838, 403, 787, 19208, 311, 2106, 497, 275, 14803, 302, 3242, 19505, 37572, 28171, 19, 204, 18, 1998, 422, 731, 18, 39, 3901, 815, 322, 39295, 552, 2103, 267, 2554, 312, 884, 88, 24834, 14, 2317, 2991, 18515, 19, 12503, 302, 12818, 8306, 36825, 17, 5082, 3332, 45257, 2317, 41033, 10355, 19, 43277, 26549, 11118, 18, 3533, 17, 26549, 5082, 17, 23980, 9901, 19, 471, 48382, 29161, 329, 13654, 353, 275, 552, 2103, 267, 2554, 312, 884, 88, 24834, 322, 11714, 2760, 3332, 2905, 1719, 10355, 659, 1051, 302, 275, 4382, 31185, 302, 9590, 292, 275, 3511, 302, 9590, 19, 204, 18, 361, 9482, 277, 328, 2317, 480, 6517, 276, 19, 39248, 8306, 17653, 302, 3844, 42390, 361, 341, 6731, 8392, 19, 2649, 83, 1372, 302, 32496, 302, 1105, 77, 1816, 336, 1428, 42390, 17, 1433, 309, 2223, 329, 34157, 1182, 1194, 3861, 17128, 19, 15579, 1795, 33555, 10033, 10581, 1898, 31290, 17, 33555, 1048, 2706, 38658, 5437, 311, 480, 6517, 276, 19, 1058, 14809, 867, 3870, 292, 275, 2989, 427, 6129, 10355, 19, 204, 2021, 7866, 26104, 507, 12831, 349, 1439, 204, 18, 11565, 78, 19191, 291, 507, 12831, 22571, 2317, 5134, 12005, 19, 13448, 20318, 329, 14531, 20318, 507, 12831, 22571, 440, 12574, 302, 11118, 4581, 27716, 88, 17, 1376, 14790, 292, 275, 4839, 274, 2317, 3139, 427, 6129, 10355, 19, 16706, 4451, 529, 13170, 440, 21050, 283, 494, 395, 301, 19, 204, 18, 501, 33186, 392, 979, 41049, 2317, 501, 33186, 19, 5028, 302, 4376, 10619, 40377, 302, 275, 2688, 17, 440, 2327, 21108, 36101, 322, 48, 12915, 34315, 884, 88, 7133, 25567, 3723, 272, 884, 88, 329, 18598, 6473, 562, 884, 88, 659, 11128, 34980, 17, 6084, 9645, 543, 329, 7259, 884, 88, 25982, 19, 42473, 14790, 292, 275, 5789, 427, 6129, 10355, 329, 13335, 448, 36417, 329, 12818, 8306, 17653, 3700, 302, 275, 4382, 1428, 42390, 88, 302, 12415, 19, 204, 18, 17002, 11014, 2317, 472, 1678, 94, 328, 19, 32443, 31718, 28802, 2317, 3403, 13333, 329, 507, 12831, 22571, 1682, 311, 490, 19, 4161, 275, 401, 897, 1679, 292, 808, 507, 12831, 22571, 1466, 1193, 40593, 28263, 2054, 42553, 523, 19482, 2317, 1429, 302, 275, 2765, 24690, 497, 40880, 9868, 6333, 516, 17, 497, 275, 435, 307, 6129, 9656, 19, 334, 13333, 2080, 9764, 758, 302, 719, 311, 1199, 17128, 12292, 1272, 2600, 36039, 329, 1910, 904, 7204, 22902, 311, 5068, 483, 10511, 19, 204, 18, 9584, 22344, 11014, 2317, 47508, 19, 31279, 3299, 23516, 507, 12831, 22571, 302, 27747, 12415, 17, 275, 17294, 8907, 6624, 529, 1429, 13777, 2181, 3299, 19, 48340, 1051, 302, 275, 17294, 4151, 4581, 10581, 11773, 292, 275, 2688, 2317, 10866, 3296, 21635, 302, 412, 13628, 590, 329, 501, 360, 87, 731, 18, 50, 728, 422, 2317, 275, 17294, 4581, 10581, 4147, 17, 2927, 8489, 3332, 5789, 3276, 10355, 19, 204, 18, 38381, 281, 731, 18, 8124, 14118, 2317, 5134, 12005, 19, 392, 979, 41049, 302, 275, 10033, 8880, 703, 2877, 360, 3226, 19, 16422, 4581, 27716, 88, 2317, 24831, 5524, 88, 2317, 1376, 311, 874, 11342, 302, 309, 29562, 302, 1880, 1101, 1425, 2317, 19822, 10745, 17, 17607, 45744, 17, 28899, 1439, 19, 32443, 529, 313, 9724, 329, 1407, 27574, 302, 4208, 359, 16600, 322, 1947, 435, 307, 6129, 9656, 659, 42830, 10866, 351, 74, 302, 26795, 3486, 269, 278, 322, 11714, 2760, 3332, 2989, 1719, 10355, 789, 204, 18, 18515, 302, 275, 33932, 440, 1144, 59, 26, 17, 1144, 59, 2314, 329, 904, 11118, 18, 3533, 27716, 88, 2317, 480, 6517, 276, 19, 592, 1113, 292, 18515, 302, 33932, 529, 3556, 13012, 27716, 88, 329, 42397, 19, 1144, 59, 26, 353, 275, 4794, 11118, 18, 3533, 27716, 292, 275, 18171, 507, 12831, 22571, 302, 10033, 26104, 34008, 9172, 19, 15602, 965, 336, 311, 24354, 302, 361, 341, 6731, 8392, 19, 592, 1144, 59, 26, 8337, 4935, 874, 1742, 10921, 22925, 12372, 521, 42397, 329, 490, 353, 1812, 496, 1182, 1120, 444, 10921, 17, 808, 3700, 867, 2927, 292, 275, 2989, 427, 2317, 1598, 427, 6129, 10355, 19, 1144, 59, 2314, 2317, 275, 27716, 302, 1428, 42390, 1359, 78, 382, 2317, 353, 1051, 302, 275, 2765, 13170, 27716, 88, 329, 275, 6726, 292, 275, 23193, 17, 33599, 309, 2482, 19, 204, 18, 18515, 302, 275, 36408, 2317, 2991, 18515, 19, 392, 979, 41049, 302, 275, 29265, 17, 2813, 266, 3851, 329, 2813, 20790, 302, 12415, 19, 48340, 1182, 1194, 6787, 27716, 88, 17, 1910, 302, 1475, 3060, 521, 83, 316, 329, 47737, 1282, 447, 13170, 17, 318, 19, 76, 19, 27716, 302, 18878, 392, 599, 864, 815, 19, 204, 2021, 7866, 26104, 36101, 204, 18, 47628, 21635, 322, 55, 13930, 702, 359, 21635, 14, 2317, 501, 33186, 19, 5028, 302, 3403, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 19, 30276, 608, 13333, 17, 5082, 8489, 3332, 5789, 473, 10355, 19, 334, 14382, 19, 22, 309, 14977, 13333, 7036, 440, 273, 27062, 2746, 7133, 1675, 490, 6401, 691, 281, 3006, 17, 4141, 273, 32829, 14748, 19, 334, 1619, 5311, 41569, 279, 3987, 6786, 34456, 2075, 353, 2220, 19, 204, 18, 25567, 3723, 272, 884, 88, 21635, 322, 5941, 9407, 302, 9020, 75, 1268, 14, 2317, 501, 33186, 19, 10110, 4794, 13333, 302, 501, 33186, 17, 15975, 37757, 19, 26, 309, 14977, 17, 3303, 36606, 19, 27, 309, 14977, 19, 42473, 8489, 3332, 28332, 10355, 19, 204, 18, 1144, 12915, 34315, 884, 88, 21635, 322, 32180, 21635, 302, 501, 33186, 14, 2317, 501, 33186, 19, 313, 4759, 10033, 13333, 329, 10033, 4147, 292, 275, 2688, 17, 5082, 8489, 3332, 28332, 10355, 19, 20811, 447, 867, 40593, 19, 26, 309, 14977, 17, 3303, 2317, 35677, 19, 29, 309, 19, 334, 32557, 1302, 329, 7548, 302, 808, 4147, 353, 20831, 1965, 24611, 5319, 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, 48340, 2327, 42397, 17, 1901, 5508, 5082, 448, 273, 36417, 329, 12818, 8306, 17653, 19, 204, 18, 21635, 302, 48292, 547, 1539, 382, 322, 20298, 21635, 14, 2317, 501, 33186, 19, 5028, 302, 275, 4376, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 17, 15975, 1429, 7776, 309, 14977, 17, 3303, 2842, 29161, 42776, 2709, 19, 8146, 7446, 25446, 15690, 2364, 329, 18335, 26606, 302, 275, 9511, 838, 10545, 302, 22971, 19, 204, 18, 21635, 302, 412, 13628, 590, 2317, 47508, 19, 334, 17294, 4581, 10581, 5343, 292, 275, 2688, 17, 5082, 292, 275, 5254, 427, 6129, 10355, 348, 275, 36417, 302, 1428, 42390, 412, 13628, 590, 19, 1058, 21108, 17, 48589, 13333, 15975, 867, 15338, 309, 14977, 19, 1058, 4147, 9035, 4376, 36363, 292, 275, 3511, 302, 2688, 9590, 329, 8908, 19, 6131, 275, 13333, 353, 273, 11029, 302, 25446, 29916, 329, 42397, 440, 273, 1113, 1277, 302, 720, 19, 27, 5437, 19, 204, 18, 21635, 302, 4467, 359, 328, 2317, 11565, 78, 387, 347, 75, 19, 3431, 536, 1399, 1660, 13333, 17, 15975, 19843, 19, 26, 309, 14977, 17, 3303, 2317, 9806, 309, 14977, 19, 42473, 292, 275, 5789, 427, 6129, 10355, 19, 9496, 5508, 490, 13861, 44852, 22971, 1882, 1163, 9511, 19, 204, 18, 21635, 302, 18598, 6473, 562, 2317, 501, 33186, 19, 19373, 13333, 302, 501, 33186, 17, 275, 5527, 1051, 19, 29502, 808, 353, 21108, 17, 16970, 309, 14977, 4147, 322, 6228, 447, 2317, 9806, 19, 26, 309, 789, 42473, 292, 275, 5789, 427, 6129, 10355, 19, 204, 18, 3537, 21635, 2317, 501, 33186, 19, 5028, 302, 275, 4376, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 17, 23956, 309, 14977, 19, 19373, 4794, 26104, 13333, 19, 415, 7334, 24411, 275, 1043, 3597, 13333, 292, 12415, 17, 275, 48574, 4147, 302, 275, 2688, 630, 1163, 9511, 19, 5128, 336, 5387, 292, 2019, 2934, 10355, 19, 204, 12695, 27747, 26104, 40377, 204, 18, 2439, 18, 47009, 43667, 1647, 404, 3385, 322, 1252, 18, 5019, 328, 1647, 404, 3385, 14, 2317, 47508, 19, 334, 4794, 9455, 40922, 608, 302, 275, 4382, 10033, 3226, 3226, 302, 552, 5841, 760, 22571, 17, 1199, 19, 9783, 309, 14977, 329, 7219, 17128, 12292, 19, 204, 18, 1212, 2650, 78, 302, 8925, 5198, 2317, 480, 6517, 276, 19, 7609, 401, 2650, 281, 11118, 47061, 17, 37864, 8489, 3332, 2989, 1719, 10355, 329, 19919, 299, 1428, 290, 3901, 2981, 48292, 5705, 1558, 15623, 19, 32252, 440, 1017, 19936, 47061, 529, 1916, 309, 2223, 17, 848, 24624, 17128, 12292, 19, 38413, 557, 4245, 302, 32856, 3205, 3522, 8517, 2666, 17, 26549, 3913, 311, 20386, 5316, 12260, 2197, 560, 275, 18358, 401, 2650, 354, 2518, 275, 42303, 19, 23196, 869, 508, 1742, 14006, 3522, 27083, 9656, 19, 204, 18, 11128, 34980, 302, 501, 33186, 2317, 501, 33186, 19, 15579, 1795, 1898, 37793, 32496, 292, 275, 2688, 17, 5082, 8489, 3332, 2019, 1719, 10355, 19, 18006, 19, 26, 309, 2482, 329, 719, 311, 1199, 19, 2898, 309, 2223, 17, 1051, 302, 275, 1901, 47613, 32118, 981, 292, 275, 2688, 17, 6837, 726, 302, 12787, 43233, 329, 11556, 19, 204, 18, 1628, 16744, 1647, 404, 3385, 292, 3242, 19505, 10581, 27951, 2882, 2317, 3242, 19505, 19, 15579, 1795, 3556, 10033, 1647, 404, 3385, 17, 1824, 794, 16744, 292, 27951, 569, 3913, 311, 39985, 292, 490, 19, 334, 10689, 1647, 404, 3385, 1784, 444, 8178, 309, 2223, 17, 1429, 32011, 17128, 12292, 19, 204, 18, 346, 345, 5524, 88, 302, 1144, 509, 731, 2541, 84, 19050, 1150, 2317, 40052, 13891, 19, 6581, 26645, 507, 12831, 22571, 17, 4581, 292, 275, 11118, 292, 275, 435, 307, 2317, 681, 427, 15056, 9656, 19, 852, 797, 3287, 28136, 2350, 299, 1838, 302, 27747, 12415, 17, 39411, 45383, 1838, 329, 4744, 8517, 1838, 15128, 19, 204, 18, 1144, 6369, 80, 302, 1301, 270, 530, 333, 78, 322, 934, 18, 48, 514, 2833, 78, 14, 2317, 3242, 19505, 19, 19463, 1101, 32163, 447, 1983, 10176, 4147, 17, 5082, 292, 275, 4744, 8517, 3155, 19, 791, 12106, 19, 204, 18, 8302, 324, 1707, 884, 88, 415, 713, 290, 2317, 40052, 13891, 19, 15579, 1795, 8517, 1659, 1411, 16442, 1837, 7066, 18172, 329, 17570, 6484, 15170, 17, 1051, 302, 275, 4794, 1898, 37793, 2630, 7921, 35899, 19, 5278, 353, 1199, 19, 7378, 309, 14977, 322, 2004, 1464, 4418, 281, 2317, 2468, 309, 659, 435, 19, 9769, 309, 6592, 630, 1163, 1034, 17, 1429, 4662, 26, 2317, 571, 3276, 265, 12292, 19, 42473, 292, 435, 5839, 9656, 19, 204, 45361, 1898, 812, 4774, 329, 25763, 204, 18, 332, 2142, 502, 17191, 2317, 40052, 13891, 19, 9139, 1679, 302, 10033, 10927, 27191, 3226, 329, 39564, 550, 4245, 19, 15395, 464, 302, 1200, 19, 18598, 402, 302, 40052, 13891, 19, 8187, 21749, 292, 275, 571, 10988, 6129, 329, 867, 16356, 560, 24898, 292, 275, 4876, 302, 275, 1168, 427, 6129, 19, 791, 660, 88, 302, 23980, 4744, 10927, 5464, 362, 323, 402, 2317, 43961, 17674, 362, 8495, 322, 1947, 720, 427, 6129, 14, 329, 17674, 362, 8495, 302, 28003, 364, 5717, 322, 1947, 720, 427, 6129, 789, 204, 18, 5973, 35693, 302, 24074, 38852, 2317, 3537, 15955, 19, 1212, 16998, 45956, 17, 17294, 20816, 10885, 10927, 45956, 292, 2688, 17, 5082, 292, 5924, 27, 17, 440, 3287, 28136, 329, 4712, 19, 204, 18, 1621, 1147, 865, 5973, 35693, 2317, 3300, 267, 11162, 19, 1212, 16998, 45956, 17, 15469, 275, 17294, 45956, 292, 2688, 17, 18321, 292, 571, 4049, 9656, 17, 16356, 4569, 2666, 1101, 46679, 329, 4884, 19, 48340, 12787, 8916, 329, 1838, 1019, 19, 204, 18, 24074, 43353, 884, 88, 5973, 35693, 17, 13134, 19700, 1678, 2317, 7149, 19700, 1678, 19, 27747, 17, 20816, 10885, 10927, 45956, 17, 4884, 3522, 3332, 571, 7900, 9656, 19, 5973, 35693, 5082, 1283, 720, 4343, 2317, 720, 4452, 17, 12805, 3060, 3287, 4712, 302, 10033, 29155, 19, 204, 18, 334, 552, 5648, 11052, 2317, 47508, 19, 27747, 1212, 16998, 11575, 5082, 1048, 273, 15690, 302, 8517, 13482, 1023, 19, 42473, 9047, 292, 887, 3276, 2317, 887, 6913, 9656, 17, 46679, 12787, 2666, 19, 48340, 12602, 3060, 15646, 33669, 19, 204, 18, 2439, 18, 38, 95, 11704, 22817, 518, 2317, 47508, 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, 9083, 24706, 813, 88, 518, 497, 1233, 3894, 9656, 17, 3237, 7001, 275, 1901, 4883, 23339, 12347, 292, 2688, 19, 9419, 35337, 1051, 302, 29504, 32488, 292, 23339, 2688, 19, 204, 18, 2439, 18, 45, 934, 449, 22817, 518, 2317, 47508, 19, 22759, 17, 3299, 813, 88, 518, 17, 5082, 292, 1233, 6913, 19, 5134, 879, 3450, 302, 813, 88, 518, 24896, 426, 948, 6335, 311, 273, 1428, 11014, 13078, 17653, 19, 204, 18, 22817, 518, 302, 382, 8826, 313, 335, 350, 2317, 47508, 19, 30838, 4418, 813, 88, 518, 292, 47508, 17, 5082, 292, 1132, 6537, 2317, 1132, 9642, 19, 15386, 299, 7058, 353, 275, 18415, 1006, 16384, 19, 204, 11641, 43166, 7850, 329, 20603, 204, 18, 346, 286, 4949, 81, 302, 1301, 1836, 31858, 2317, 40052, 13891, 19, 3431, 536, 1399, 13482, 1023, 630, 275, 26100, 17, 5082, 292, 275, 2153, 427, 6129, 9656, 1048, 275, 42776, 302, 275, 480, 42254, 302, 40052, 13891, 19, 204, 18, 3844, 42390, 884, 88, 13940, 2317, 7149, 19700, 1678, 19, 19463, 11918, 292, 275, 24226, 302, 332, 86, 28238, 440, 29161, 13482, 7973, 17, 5082, 560, 8508, 354, 18253, 329, 12654, 364, 266, 292, 275, 1598, 427, 6129, 19, 204, 18, 1212, 16998, 13673, 2317, 47508, 19, 5179, 884, 88, 1901, 3287, 3599, 302, 1212, 16998, 1838, 329, 3511, 1019, 19, 13673, 21479, 275, 3511, 302, 24596, 292, 12415, 19, 204, 18, 26104, 13673, 2317, 47508, 19, 5028, 302, 4376, 31718, 39809, 302, 275, 2688, 17, 28329, 311, 27747, 12415, 19, 48340, 12787, 641, 356, 20892, 302, 12479, 8622, 17, 2864, 5254, 23516, 309, 29562, 17, 14901, 21075, 302, 313, 312, 1378, 8013, 350, 329, 1910, 5261, 19, 204, 12695, 1064, 2927, 17869, 204, 18, 5973, 530, 11840, 40566, 329, 2439, 18, 21803, 555, 10008, 40566, 2317, 40052, 13891, 19, 5973, 530, 11840, 40566, 867, 5082, 292, 1916, 6913, 560, 1144, 267, 511, 358, 43111, 402, 8392, 448, 273, 24579, 317, 29424, 19, 334, 23980, 17, 521, 83, 316, 2439, 18, 21803, 555, 10008, 40566, 867, 5082, 292, 46521, 560, 8503, 48467, 364, 382, 448, 1704, 10865, 35424, 19, 21743, 448, 273, 31253, 35424, 3119, 5411, 2666, 19, 204, 18, 13134, 19700, 1678, 2317, 7149, 19700, 1678, 19, 1058, 435, 17, 40166, 309, 2223, 14498, 353, 23969, 292, 12464, 17, 10927, 329, 23339, 6546, 19, 1547, 353, 11799, 12787, 2666, 292, 23969, 19283, 302, 1792, 32313, 448, 275, 2481, 1273, 25924, 5445, 275, 22584, 8476, 1320, 19, 204, 6185, 19565, 46436, 302, 12415, 204, 42, 11675, 353, 2941, 311, 1910, 302, 275, 1901, 3287, 329, 29161, 31718, 40377, 292, 275, 2688, 19, 8278, 17, 292, 275, 23193, 302, 37386, 7001, 1051, 302, 275, 1043, 329, 8595, 25721, 2317, 27747, 12415, 322, 5639, 1719, 2317, 571, 2177, 10355, 659, 12637, 37461, 5658, 329, 5406, 40377, 19, 204, 8390, 302, 275, 8595, 26104, 17869, 529, 11128, 2802, 27847, 302, 501, 33186, 17, 27716, 88, 302, 1428, 42390, 88, 292, 275, 18515, 302, 33932, 17, 9584, 22344, 11014, 507, 12831, 22571, 440, 275, 1901, 10033, 10365, 10581, 11773, 292, 275, 2688, 17, 42776, 302, 480, 6517, 276, 19, 204, 673, 10652, 6601, 302, 26104, 25721, 7239, 1307, 17540, 292, 275, 5378, 329, 1673, 719, 311, 808, 2344, 2317, 1422, 529, 12787, 9764, 49096, 40377, 329, 2219, 1182, 8517, 17, 10927, 329, 23339, 17869, 17, 318, 19, 76, 19, 275, 17294, 10927, 1898, 812, 4774, 292, 275, 2688, 322, 2595, 1147, 865, 5973, 35693, 17, 24074, 43353, 884, 88, 5973, 35693, 17, 5973, 35693, 302, 24074, 38852, 329, 1910, 5261, 789, 204, 673, 23980, 12415, 869, 1910, 9764, 4193, 17869, 448, 2590, 2317, 1101, 1605, 529, 23058, 77, 12004, 336, 560, 275, 12787, 21050, 1064, 2927, 17869, 19, 204, 11896, 73, 31, 11128, 34980, 302, 501, 33186, 204, 3882, 1051, 17356, 348, 6430, 5566, 329, 1330, 867, 5082, 275, 4794, 1898, 37793, 32496, 292, 275, 2688, 2317, 275, 11128, 34980, 302, 501, 33186, 19, 3846, 1901, 5508, 808, 353, 275, 17294, 3403, 17, 28802, 281, 39198, 292, 275, 2688, 19, 204, 673, 8908, 302, 12415, 869, 11342, 302, 2181, 302, 11915, 3511, 19, 27747, 12415, 17963, 37701, 560, 1163, 13654, 32118, 981, 329, 24690, 17, 39127, 11773, 17, 3700, 329, 35909, 1381, 924, 543, 17, 329, 41438, 19, 1058, 19882, 3351, 353, 13626, 348, 46184, 34383, 311, 2379, 1182, 1465, 808, 25721, 19, 204, 14232, 12610, 3074, 523, 12415, 11208, 10350, 497, 275, 2802, 27847, 292, 501, 33186, 329, 480, 6517, 276, 884, 88, 36825, 311, 46096, 275, 3537, 15955, 329, 42933, 275, 21883, 302, 47508, 0, 647, 2010, 448, 645, 204, 647, 690, 204, 647, 1361, 204, 647, 13185, 204, 531, 4277, 19, 809, 68, 7419, 532, 40723, 4872, 5582, 16555, 17, 40723, 45304, 204, 531, 1498, 532, 783, 17, 1884, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 6490, 4321, 13185, 204, 21104, 19, 2741, 21104, 499, 12286, 528, 2851, 34, 2491, 18928, 14, 204, 204, 8, 977, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 3342, 19, 12419, 13, 3247, 19, 5142, 14, 204, 204, 461, 1137, 68, 481, 13, 481, 3880, 31, 783, 64, 325, 694, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 497, 275, 800, 3630, 19, 204, 204, 264, 457, 31, 204, 264, 338, 424, 3880, 31, 332, 458, 302, 424, 3630, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2010, 1348, 1174, 275, 3271, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 275, 1043, 832, 292, 275, 458, 204, 264, 407, 645, 19, 986, 13, 481, 3880, 64, 21, 694, 204, 204, 461, 23755, 1287, 68, 20274, 13, 204, 264, 1504, 31, 783, 64, 325, 648, 716, 264, 1358, 31, 783, 64, 339, 648, 716, 264, 21629, 31, 421, 289, 1168, 17, 716, 264, 8062, 68, 1590, 31, 1109, 289, 1078, 204, 14, 393, 1884, 64, 1218, 64, 325, 648, 783, 64, 339, 648, 783, 64, 325, 648, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 475, 275, 3265, 348, 1737, 21629, 329, 683, 3416, 19, 204, 204, 264, 457, 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, 264, 338, 1504, 31, 332, 458, 302, 424, 3630, 19, 204, 264, 338, 1358, 31, 332, 458, 302, 1029, 1019, 19, 204, 264, 338, 21629, 31, 334, 542, 302, 21629, 348, 4393, 18, 6877, 19, 204, 264, 338, 8062, 68, 1590, 31, 332, 5168, 311, 732, 40723, 4872, 5582, 16555, 5976, 302, 40723, 45304, 19, 204, 204, 264, 9112, 31, 204, 264, 338, 610, 68, 1219, 31, 332, 458, 302, 1737, 424, 3630, 19, 204, 264, 338, 469, 68, 1219, 31, 332, 458, 302, 1737, 1029, 1019, 19, 204, 264, 338, 610, 68, 804, 31, 332, 458, 302, 2907, 424, 3630, 19, 204, 264, 338, 469, 68, 804, 31, 332, 458, 302, 2907, 1029, 1019, 19, 204, 264, 320, 204, 264, 314, 11420, 275, 4393, 18, 6877, 6684, 204, 264, 297, 333, 289, 40723, 4872, 5582, 16555, 13, 83, 68, 19705, 34, 20274, 17, 683, 68, 835, 34, 21, 19, 23, 14, 397, 8062, 68, 1590, 902, 40723, 45304, 13, 83, 68, 19705, 34, 20274, 17, 8062, 34, 1975, 14, 204, 615, 264, 314, 1861, 1048, 275, 21629, 204, 264, 348, 951, 68, 998, 17, 683, 68, 998, 292, 297, 333, 19, 1590, 13, 61, 17, 1358, 330, 204, 268, 314, 1986, 275, 1737, 329, 2907, 424, 204, 268, 610, 68, 1219, 17, 469, 68, 1219, 289, 551, 1123, 19, 643, 13, 4415, 5604, 1219, 68, 998, 66, 348, 8439, 292, 322, 61, 17, 1358, 2395, 204, 268, 610, 68, 804, 17, 469, 68, 804, 289, 551, 1123, 19, 643, 13, 4415, 5604, 804, 68, 998, 66, 348, 8439, 292, 322, 61, 17, 1358, 2395, 204, 822, 268, 4353, 610, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 204, 204, 461, 724, 7951, 68, 1219, 13, 204, 264, 21200, 68, 655, 31, 783, 64, 2983, 64, 1386, 17, 1884, 64, 339, 17, 421, 648, 1135, 4395, 716, 264, 424, 31, 783, 64, 325, 648, 716, 264, 6801, 31, 783, 64, 339, 648, 716, 264, 21629, 31, 421, 17, 716, 264, 2248, 68, 33335, 31, 1109, 289, 959, 17, 716, 264, 2037, 31, 1109, 289, 959, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 14137, 275, 458, 302, 19950, 292, 5966, 19, 204, 204, 264, 457, 31, 204, 264, 338, 21200, 68, 655, 31, 332, 458, 302, 5760, 1174, 275, 21200, 726, 17, 1906, 17, 329, 4541, 1906, 19, 204, 264, 338, 424, 31, 332, 458, 302, 424, 3630, 19, 204, 264, 338, 6801, 31, 332, 458, 302, 1029, 1019, 19, 204, 264, 338, 21629, 31, 334, 542, 302, 21629, 348, 4393, 18, 6877, 19, 204, 264, 338, 2248, 68, 33335, 31, 332, 5168, 311, 2037, 275, 1737, 329, 2907, 2744, 19, 204, 264, 338, 2037, 31, 332, 5168, 311, 2037, 275, 1737, 5634, 19, 204, 264, 320, 204, 264, 397, 508, 2381, 13, 32287, 68, 655, 17, 458, 330, 204, 268, 980, 987, 499, 11741, 273, 458, 302, 19950, 448, 275, 1043, 4601, 17, 2219, 348, 2875, 19950, 431, 204, 204, 264, 348, 21200, 292, 21200, 68, 655, 31, 204, 268, 830, 68, 6240, 289, 1306, 204, 268, 31589, 289, 1306, 204, 268, 724, 289, 500, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 822, 268, 314, 1861, 1048, 275, 21629, 204, 268, 348, 610, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 292, 23755, 1287, 68, 20274, 13, 481, 17, 6801, 17, 21629, 34, 20274, 330, 204, 305, 397, 2037, 31, 204, 485, 397, 724, 2167, 500, 31, 204, 895, 2082, 19, 1270, 13, 75, 7, 21888, 463, 80, 18, 22, 2829, 3870, 292, 463, 834, 19, 834, 374, 18, 1530, 68, 834, 4567, 23, 75, 98, 7139, 431, 204, 485, 2082, 19, 1270, 13, 75, 7, 35250, 523, 463, 932, 13, 32287, 64, 21, 694, 3925, 417, 23614, 8803, 463, 80, 743, 204, 485, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 3123, 305, 314, 2672, 275, 21200, 204, 305, 6175, 68, 6240, 17, 683, 68, 5015, 289, 21200, 64, 21, 1664, 1219, 13, 93, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 17, 540, 32287, 64, 22, 648, 930, 32287, 64, 23, 694, 204, 305, 830, 68, 6240, 19, 1223, 13, 7064, 68, 6240, 14, 204, 305, 31589, 19, 1223, 13, 804, 68, 5015, 14, 204, 305, 724, 1412, 368, 204, 204, 268, 2082, 19, 4561, 13, 27021, 14, 204, 268, 397, 2248, 68, 33335, 31, 204, 305, 314, 3045, 275, 1737, 329, 2907, 2744, 204, 305, 1513, 19, 1657, 13, 668, 68, 6240, 64, 21, 694, 204, 305, 1513, 19, 7246, 611, 49013, 534, 204, 305, 1513, 19, 7127, 611, 596, 534, 204, 305, 1513, 19, 1778, 611, 13000, 7252, 534, 204, 305, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 12016, 741, 19, 204, 264, 320, 204, 264, 951, 68, 2884, 835, 289, 368, 204, 264, 771, 68, 7064, 289, 931, 204, 204, 264, 314, 1385, 275, 424, 204, 264, 424, 3880, 17, 6801, 289, 424, 6439, 19, 505, 68, 481, 68, 3880, 13, 22, 17, 951, 34, 1021, 17, 678, 15380, 833, 45233, 534, 204, 264, 610, 289, 1137, 68, 481, 13, 481, 3880, 14, 204, 264, 2648, 68, 765, 289, 610, 19, 1827, 64, 21, 66, 204, 204, 264, 314, 666, 273, 21200, 204, 264, 21200, 68, 655, 289, 6229, 3838, 375, 19, 49, 23, 6769, 3052, 13, 3170, 17, 2648, 68, 765, 659, 322, 920, 68, 7064, 17, 951, 68, 2884, 835, 659, 2552, 2994, 597, 1078, 1937, 66, 204, 204, 264, 314, 2672, 275, 21200, 204, 264, 724, 7951, 68, 1219, 13, 32287, 68, 655, 17, 424, 3880, 17, 6801, 17, 571, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 531, 954, 19, 19010, 68, 1087, 532, 22880, 68, 1087, 204, 204, 676, 2303, 702, 2108, 13, 32514, 68, 1087, 330, 204, 264, 320, 204, 264, 332, 5660, 1586, 850, 496, 28073, 497, 22880, 2108, 19, 204, 204, 264, 1058, 850, 4504, 273, 1586, 496, 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, 353, 273, 5660, 302, 3536, 1034, 10608, 19, 204, 264, 1547, 5377, 397, 273, 458, 302, 10608, 12478, 275, 5660, 1586, 19, 204, 204, 264, 1532, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 1586, 510, 19, 204, 268, 1034, 68, 13812, 322, 1218, 64, 325, 1037, 332, 458, 302, 1034, 1586, 1987, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 2303, 702, 2108, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 1586, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 1586, 510, 588, 1583, 508, 918, 630, 3406, 970, 1034, 27812, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 546, 14, 204, 268, 314, 1986, 1034, 1586, 1987, 497, 275, 510, 588, 204, 268, 370, 19, 772, 68, 13812, 289, 370, 19, 417, 19, 1590, 39657, 204, 822, 268, 314, 3866, 275, 542, 302, 1034, 10608, 204, 268, 397, 1245, 13, 327, 19, 772, 68, 13812, 14, 962, 435, 31, 204, 305, 980, 987, 13, 75, 7, 29877, 954, 510, 463, 546, 98, 1856, 874, 630, 3406, 970, 1034, 27812, 431, 204, 204, 264, 436, 353, 68, 28822, 36569, 68, 1424, 13, 327, 17, 954, 68, 655, 31, 783, 64, 32514, 68, 1087, 694, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 5660, 1586, 353, 20180, 560, 273, 458, 302, 10608, 19, 204, 204, 268, 457, 31, 204, 305, 954, 68, 655, 322, 1218, 64, 32514, 68, 1087, 1037, 332, 458, 302, 1586, 2828, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 5660, 1586, 353, 20180, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 830, 1034, 27812, 529, 3113, 292, 275, 954, 458, 204, 268, 314, 1974, 273, 758, 348, 6184, 24312, 204, 268, 954, 68, 2199, 289, 463, 1087, 19, 417, 348, 954, 292, 954, 68, 655, 98, 204, 268, 407, 830, 13, 772, 68, 1087, 292, 954, 68, 2199, 348, 1034, 68, 1087, 292, 370, 19, 772, 68, 13812, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2303, 702, 2108, 1014, 204, 264, 21312, 68, 1087, 289, 2303, 702, 2108, 499, 546, 20, 633, 20, 1087, 19, 3039, 431, 204, 204, 264, 314, 666, 273, 458, 302, 22880, 2108, 5644, 204, 264, 954, 68, 655, 289, 551, 32514, 68, 1087, 499, 1087, 22, 3186, 22880, 68, 1087, 499, 1087, 23, 3186, 22880, 68, 1087, 499, 1087, 24, 14094, 204, 204, 264, 314, 778, 397, 275, 5660, 1586, 353, 20180, 204, 264, 397, 21312, 68, 1087, 19, 360, 68, 28822, 36569, 68, 1424, 13, 1087, 68, 655, 330, 204, 268, 456, 499, 673, 5660, 1586, 353, 20180, 1280, 204, 264, 902, 31, 204, 268, 456, 499, 673, 5660, 1586, 353, 508, 20180, 1280, 204, 0, 647, 3238, 204, 647, 1127, 204, 647, 5503, 204, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 35275, 532, 7618, 204, 204, 531, 283, 15610, 19, 809, 19, 14524, 83, 19, 17014, 532, 472, 16365, 31472, 204, 531, 283, 15610, 19, 809, 19, 42372, 19, 42372, 68, 13291, 532, 46750, 17, 5571, 68, 42372, 204, 531, 283, 15610, 19, 809, 19, 46967, 19, 14577, 68, 4072, 532, 14185, 68, 4072, 68, 11334, 17, 11634, 68, 7040, 204, 531, 283, 15610, 19, 809, 19, 2918, 19, 1087, 532, 13122, 17, 13122, 68, 531, 68, 553, 17, 13122, 68, 531, 68, 655, 17, 636, 68, 1420, 68, 1217, 204, 531, 283, 15610, 19, 809, 19, 2918, 19, 3052, 68, 2918, 532, 2015, 68, 24381, 204, 531, 283, 15610, 19, 17316, 68, 481, 68, 2594, 19, 295, 27358, 4929, 532, 622, 27358, 4929, 204, 531, 283, 15610, 19, 17316, 68, 481, 68, 2594, 19, 6493, 71, 532, 6571, 68, 6493, 71, 204, 531, 283, 15610, 19, 804, 532, 3893, 204, 204, 461, 2252, 68, 1038, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 537, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 273, 13403, 361, 18, 19965, 2364, 534, 204, 264, 1732, 19, 826, 68, 2389, 611, 4041, 68, 417, 491, 1187, 34, 325, 17, 1540, 34, 3170, 17, 1340, 833, 9451, 588, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2182, 491, 2984, 833, 2182, 491, 1340, 833, 5135, 1485, 491, 1540, 833, 48740, 68, 35748, 491, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 26953, 577, 68, 417, 491, 2984, 833, 26953, 577, 68, 417, 491, 1340, 833, 577, 36859, 491, 1540, 18590, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3052, 491, 2984, 833, 3052, 491, 1340, 833, 21330, 1845, 17, 513, 1719, 17, 513, 10986, 17, 513, 27294, 491, 1540, 833, 494, 10986, 491, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 986, 68, 1217, 491, 2984, 833, 986, 68, 1217, 491, 1340, 833, 2100, 311, 1137, 1094, 491, 1540, 1022, 1420, 20, 14524, 83, 528, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 6938, 491, 2984, 833, 6938, 491, 1340, 833, 13746, 708, 732, 21292, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2224, 68, 18822, 491, 2984, 833, 2224, 68, 18822, 491, 1340, 833, 5053, 348, 6980, 2279, 491, 1540, 34, 21, 19, 4779, 17, 1187, 34, 996, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3624, 491, 2984, 833, 3624, 491, 1340, 833, 13746, 708, 311, 8603, 19078, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 8771, 68, 42372, 491, 2984, 833, 8771, 68, 42372, 491, 1340, 833, 13746, 708, 311, 732, 5571, 392, 5200, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 407, 1732, 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, 1703, 68, 1038, 374, 204, 204, 461, 1137, 68, 809, 13, 1038, 31, 3238, 19, 5750, 17, 36859, 14, 393, 472, 16365, 31472, 31, 204, 264, 320, 204, 264, 1385, 275, 570, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1906, 19, 204, 268, 36859, 31, 3207, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 472, 16365, 31472, 31, 9387, 570, 19, 204, 264, 320, 204, 264, 314, 1385, 570, 204, 264, 397, 2042, 19, 3052, 564, 379, 494, 10986, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 14382, 17, 21250, 34, 1975, 14, 204, 264, 1677, 2042, 19, 3052, 564, 379, 494, 1719, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 2753, 17, 21250, 34, 1975, 14, 204, 264, 1677, 2042, 19, 3052, 564, 379, 494, 27294, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 36091, 17, 21250, 34, 1975, 14, 204, 264, 902, 31, 204, 268, 980, 987, 611, 7822, 353, 508, 4310, 534, 204, 264, 570, 19, 1510, 68, 25313, 374, 204, 615, 264, 314, 1385, 570, 3093, 204, 264, 1137, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 1038, 19, 986, 68, 1217, 17, 379, 809, 19, 2957, 534, 204, 264, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 986, 68, 417, 26459, 809, 2378, 204, 264, 407, 570, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1906, 204, 264, 2042, 289, 2252, 68, 1038, 374, 204, 264, 456, 611, 14526, 440, 2042, 19376, 204, 264, 456, 13, 1038, 14, 204, 204, 264, 314, 1385, 424, 204, 264, 36859, 17, 622, 359, 71, 17, 3726, 68, 655, 17, 3726, 68, 998, 289, 6571, 68, 6493, 71, 13, 1038, 19, 26953, 577, 68, 417, 17, 1078, 14, 204, 264, 36859, 19, 30339, 68, 3607, 13, 271, 34, 1021, 14, 204, 264, 456, 18695, 31, 73, 98, 622, 359, 71, 7876, 2625, 2478, 13, 1796, 13, 6493, 71, 3694, 204, 264, 919, 68, 1217, 289, 636, 68, 1420, 68, 1217, 13, 26953, 17, 2042, 19, 4041, 68, 417, 14, 204, 264, 1485, 289, 622, 27358, 4929, 13, 6493, 71, 17, 3726, 68, 655, 17, 3726, 68, 998, 17, 368, 17, 36859, 19, 920, 68, 3191, 17, 1737, 34, 1975, 17, 8060, 34, 1975, 14, 204, 264, 19052, 289, 1437, 19, 2918, 19, 481, 19, 10535, 13, 2182, 17, 2068, 68, 835, 34, 22, 17, 8062, 34, 1975, 17, 771, 68, 8938, 34, 25, 17, 6468, 68, 6816, 34, 1021, 14, 204, 204, 264, 314, 1385, 570, 204, 264, 570, 289, 1137, 68, 809, 13, 1038, 17, 36859, 14, 204, 204, 264, 314, 4938, 570, 204, 264, 830, 68, 7040, 289, 3893, 13, 809, 17, 19052, 17, 36859, 17, 2015, 34, 1038, 19, 3624, 17, 29218, 34, 1038, 19, 6938, 17, 5571, 68, 42372, 34, 1038, 19, 8771, 68, 42372, 17, 2279, 68, 18822, 34, 1038, 19, 2224, 68, 18822, 14, 204, 264, 456, 611, 25005, 19078, 534, 204, 264, 36859, 19, 9925, 68, 24381, 13, 668, 68, 7040, 17, 919, 68, 1217, 14, 204, 204, 264, 314, 3025, 1563, 204, 264, 20940, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 1217, 17, 379, 24381, 19, 12586, 534, 204, 264, 440, 1451, 13, 14779, 68, 553, 17, 379, 9220, 534, 448, 283, 31, 204, 268, 5503, 19, 4573, 13, 668, 68, 7040, 17, 283, 17, 5503, 19, 45, 3931, 4687, 1185, 68, 38031, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 531, 68, 816, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 537, 497, 275, 575, 329, 2584, 275, 1113, 1277, 329, 542, 302, 10207, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 1113, 1277, 329, 275, 542, 302, 10207, 19, 204, 264, 320, 204, 264, 314, 1606, 1113, 1277, 329, 542, 302, 10207, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 1113, 68, 1205, 17, 771, 68, 13989, 289, 2304, 13, 339, 17, 537, 499, 2101, 1113, 1277, 329, 542, 302, 10207, 5289, 560, 2817, 31, 6165, 1590, 1447, 204, 305, 397, 1113, 68, 1205, 2186, 500, 521, 771, 68, 13989, 2186, 500, 31, 204, 485, 456, 499, 6425, 1277, 329, 542, 302, 10207, 1631, 444, 2140, 1892, 1280, 204, 485, 3524, 204, 305, 407, 1113, 68, 1205, 17, 771, 68, 13989, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 2817, 1280, 204, 204, 461, 1151, 68, 2307, 68, 12456, 68, 531, 68, 816, 13, 920, 68, 13989, 31, 421, 14, 393, 458, 64, 2644, 64, 339, 17, 421, 2440, 204, 264, 320, 204, 264, 4143, 933, 8354, 497, 275, 575, 329, 2584, 1475, 448, 273, 458, 302, 5760, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 13989, 322, 339, 330, 334, 542, 302, 10207, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 2644, 64, 339, 17, 421, 2440, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1824, 329, 1629, 8354, 302, 273, 933, 19, 204, 264, 320, 204, 264, 314, 1606, 933, 8354, 497, 275, 575, 204, 264, 933, 68, 12456, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 920, 68, 13989, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 1824, 17, 1629, 289, 2304, 13, 339, 17, 537, 13, 75, 7, 2101, 1824, 329, 1629, 8354, 302, 933, 463, 78, 16, 22, 98, 5289, 560, 2817, 31, 6165, 1590, 1447, 204, 485, 397, 1824, 2186, 500, 521, 1629, 2186, 500, 521, 1824, 1323, 1629, 31, 204, 895, 456, 499, 19584, 329, 1629, 8354, 1631, 444, 2140, 1892, 329, 1824, 2689, 1631, 444, 2202, 1194, 521, 1936, 311, 1629, 2689, 1280, 204, 895, 3524, 204, 485, 933, 68, 12456, 19, 1223, 1802, 1735, 17, 1629, 602, 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, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 2817, 1280, 204, 264, 407, 933, 68, 12456, 204, 204, 461, 949, 68, 16520, 68, 23495, 68, 1867, 13, 2609, 68, 1205, 31, 421, 17, 933, 68, 12456, 31, 458, 64, 2644, 64, 339, 17, 421, 4097, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 8175, 7786, 1435, 1609, 523, 275, 1113, 1277, 329, 933, 8354, 19, 204, 204, 264, 457, 31, 204, 268, 1113, 68, 1205, 322, 339, 330, 334, 1113, 1277, 19, 204, 268, 933, 68, 12456, 322, 655, 64, 2644, 64, 339, 17, 421, 3795, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1824, 329, 1629, 8354, 302, 273, 933, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 8175, 7786, 1435, 19, 204, 264, 320, 204, 264, 314, 977, 275, 8175, 7786, 1435, 204, 264, 8175, 68, 23495, 68, 1867, 289, 551, 21, 66, 540, 322, 2609, 68, 1205, 465, 368, 14, 204, 264, 8175, 68, 23495, 68, 1867, 64, 21, 66, 289, 368, 204, 264, 314, 888, 275, 8175, 7786, 1435, 204, 264, 348, 296, 292, 933, 13, 2609, 68, 1205, 330, 204, 268, 397, 296, 1323, 500, 31, 204, 305, 8175, 68, 23495, 68, 1867, 64, 78, 66, 1412, 8175, 68, 23495, 68, 1867, 64, 78, 338, 368, 66, 204, 268, 8175, 68, 23495, 68, 1867, 64, 78, 66, 34060, 1233, 4966, 36458, 42929, 204, 268, 348, 1824, 17, 1629, 292, 933, 68, 12456, 31, 204, 305, 397, 296, 465, 1824, 1323, 1113, 68, 1205, 31, 204, 485, 3524, 204, 305, 8175, 68, 23495, 68, 1867, 64, 78, 465, 1824, 66, 1412, 8175, 68, 23495, 68, 1867, 64, 78, 66, 204, 305, 8175, 68, 23495, 68, 1867, 64, 885, 13, 2609, 68, 1205, 17, 296, 465, 1629, 465, 368, 2395, 4922, 8175, 68, 23495, 68, 1867, 64, 78, 66, 204, 264, 407, 8175, 68, 23495, 68, 1867, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 496, 10428, 537, 17, 9111, 275, 8175, 7786, 1435, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 537, 497, 275, 575, 204, 264, 1113, 68, 1205, 17, 771, 68, 13989, 289, 1151, 68, 768, 68, 531, 68, 816, 374, 204, 264, 933, 68, 12456, 289, 1151, 68, 2307, 68, 12456, 68, 531, 68, 816, 13, 920, 68, 13989, 14, 204, 264, 314, 888, 275, 8175, 7786, 1435, 204, 264, 8175, 68, 23495, 68, 1867, 289, 949, 68, 16520, 68, 23495, 68, 1867, 13, 2609, 68, 1205, 17, 933, 68, 12456, 14, 204, 264, 314, 1198, 275, 722, 204, 264, 456, 499, 33671, 23456, 8817, 2180, 8175, 68, 23495, 68, 1867, 14, 204, 264, 456, 499, 5725, 2180, 8175, 68, 23495, 68, 1867, 3327, 23, 66, 1564, 1233, 4966, 36458, 42929, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 14131, 31, 204, 264, 320, 204, 264, 2646, 273, 683, 1322, 440, 1576, 17, 4213, 1714, 17, 329, 23391, 1714, 19, 204, 204, 264, 1532, 31, 204, 268, 1576, 322, 325, 330, 334, 1576, 348, 275, 683, 1322, 19, 204, 268, 4213, 322, 2107, 330, 2266, 275, 683, 1322, 353, 4213, 19, 204, 268, 23391, 322, 2107, 330, 2266, 275, 683, 1322, 353, 23391, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1576, 31, 394, 17, 4213, 31, 1109, 289, 1078, 17, 23391, 31, 1109, 289, 1078, 330, 204, 268, 320, 204, 268, 977, 273, 683, 1322, 440, 1576, 17, 4213, 1714, 17, 329, 23391, 1714, 19, 204, 204, 268, 457, 31, 204, 305, 1576, 322, 325, 330, 334, 1576, 348, 275, 683, 1322, 19, 204, 305, 4213, 322, 2107, 17, 1448, 330, 2266, 275, 683, 1322, 353, 4213, 19, 1243, 311, 1078, 19, 204, 305, 23391, 322, 2107, 17, 1448, 330, 2266, 275, 683, 1322, 353, 23391, 19, 1243, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 1181, 289, 1576, 204, 268, 370, 19, 5423, 289, 4213, 204, 268, 370, 19, 24041, 289, 23391, 204, 204, 204, 676, 44521, 31, 204, 264, 320, 204, 264, 2646, 273, 683, 9617, 440, 2910, 17, 20385, 1714, 17, 3219, 17, 26970, 17, 329, 683, 1187, 19, 204, 204, 264, 1532, 31, 204, 268, 2910, 322, 1218, 64, 5418, 1037, 332, 458, 302, 683, 2910, 19, 204, 268, 20385, 322, 2107, 330, 2266, 275, 683, 9617, 353, 20385, 19, 204, 268, 3219, 322, 325, 330, 334, 3219, 1576, 348, 275, 683, 9617, 19, 204, 268, 26970, 322, 325, 330, 334, 26970, 1576, 348, 275, 683, 9617, 19, 204, 268, 683, 68, 932, 322, 325, 330, 334, 1187, 302, 683, 9617, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2910, 31, 783, 64, 5418, 648, 20385, 31, 1109, 17, 3219, 31, 394, 289, 8488, 26970, 31, 394, 289, 8488, 683, 68, 932, 31, 394, 289, 379, 2663, 294, 742, 4448, 204, 268, 320, 204, 268, 977, 273, 683, 9617, 440, 2910, 17, 20385, 1714, 17, 3219, 17, 26970, 17, 329, 683, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 2910, 322, 1218, 64, 5418, 1037, 332, 458, 302, 683, 2910, 19, 204, 305, 20385, 322, 2107, 330, 2266, 275, 683, 9617, 353, 20385, 19, 204, 305, 3219, 322, 325, 17, 1448, 330, 334, 3219, 1576, 348, 275, 683, 9617, 19, 1243, 311, 9434, 204, 305, 26970, 322, 325, 17, 1448, 330, 334, 26970, 1576, 348, 275, 683, 9617, 19, 1243, 311, 9434, 204, 305, 683, 68, 932, 322, 325, 17, 1448, 330, 334, 1187, 302, 683, 9617, 19, 1243, 311, 379, 2663, 294, 742, 2625, 204, 268, 320, 204, 268, 370, 19, 3871, 289, 2910, 204, 268, 370, 19, 18361, 747, 289, 20385, 204, 268, 370, 19, 5666, 289, 3219, 204, 268, 370, 19, 37219, 289, 26970, 204, 268, 370, 19, 804, 68, 932, 289, 683, 68, 932, 204, 204, 204, 676, 2001, 33449, 5418, 31, 204, 264, 320, 204, 264, 2646, 273, 28149, 683, 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, 1322, 440, 273, 588, 17, 1728, 17, 329, 967, 3379, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 683, 1322, 19, 204, 268, 1728, 322, 339, 330, 334, 1728, 25370, 348, 275, 683, 1322, 19, 204, 268, 967, 3379, 322, 1218, 64, 28115, 1037, 332, 458, 302, 683, 967, 3379, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 1728, 31, 421, 289, 443, 17, 967, 3379, 31, 783, 64, 28115, 66, 289, 443, 330, 204, 268, 320, 204, 268, 977, 273, 28149, 683, 1322, 440, 273, 588, 17, 1728, 17, 329, 967, 3379, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 683, 1322, 19, 204, 305, 1728, 322, 339, 17, 1448, 330, 334, 1728, 25370, 348, 275, 683, 1322, 19, 1243, 311, 443, 19, 204, 305, 967, 3379, 322, 1218, 64, 28115, 648, 1448, 330, 332, 458, 302, 683, 967, 3379, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2160, 289, 1728, 204, 268, 370, 19, 2919, 3379, 289, 967, 3379, 397, 967, 3379, 902, 1306, 204, 204, 204, 8, 666, 683, 2910, 204, 804, 68, 2059, 22, 289, 14131, 13, 204, 264, 1576, 1022, 45662, 314, 3665, 4260, 11076, 2964, 881, 275, 379, 6425, 12382, 14584, 15795, 1837, 13299, 83, 45662, 314, 521, 872, 6976, 19345, 490, 13310, 83, 45662, 379, 6425, 12382, 14584, 15795, 292, 28149, 19, 2185, 65, 83, 1021, 528, 204, 264, 4213, 34, 1975, 17, 204, 264, 23391, 34, 1975, 204, 14, 204, 204, 804, 68, 2059, 23, 289, 14131, 13, 204, 264, 1576, 833, 45662, 314, 3665, 874, 275, 1837, 292, 1214, 1435, 13299, 83, 12, 204, 413, 379, 45662, 314, 1101, 1214, 1019, 1741, 444, 9263, 13310, 83, 12, 204, 413, 388, 45662, 265, 289, 28149, 19, 2975, 611, 6425, 12382, 14584, 11938, 9267, 289, 959, 6239, 83, 7, 204, 413, 388, 45662, 265, 19, 3071, 611, 6425, 12382, 14584, 14, 3930, 1271, 13, 21, 6239, 83, 7, 204, 413, 379, 31159, 6221, 40670, 19, 21, 491, 204, 264, 4213, 34, 1975, 17, 204, 264, 23391, 34, 1975, 204, 14, 204, 204, 8, 666, 273, 683, 9617, 204, 804, 68, 13124, 289, 44521, 13, 204, 264, 2910, 3603, 804, 68, 2059, 22, 17, 683, 68, 2059, 23, 648, 204, 264, 20385, 34, 1021, 17, 204, 264, 3219, 18590, 204, 264, 26970, 18590, 204, 264, 683, 68, 932, 833, 2663, 294, 742, 12, 204, 14, 204, 204, 8, 666, 273, 28149, 683, 1322, 204, 1668, 33449, 68, 804, 68, 2059, 289, 2001, 33449, 5418, 13, 204, 264, 588, 833, 86, 24, 68, 23, 491, 204, 264, 1728, 34, 3170, 17, 204, 264, 967, 3379, 3603, 804, 68, 13124, 66, 204, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 1668, 33449, 68, 804, 68, 2059, 19, 417, 14, 204, 264, 348, 9617, 292, 28149, 68, 804, 68, 2059, 19, 2919, 3379, 31, 204, 268, 456, 13, 75, 7, 2346, 11177, 704, 31, 463, 13124, 19, 804, 68, 932, 743, 204, 268, 348, 1322, 292, 9617, 19, 3871, 31, 204, 305, 456, 13, 75, 7, 2346, 11846, 31, 463, 2059, 19, 1181, 743, 204, 0, 5265, 4438, 2499, 6960, 9913, 31309, 18127, 2465, 10158, 7819, 18599, 9580, 4129, 1822, 18, 13359, 14510, 13345, 204, 27341, 5265, 4438, 6233, 10265, 4304, 4068, 5556, 8075, 408, 8185, 3833, 31309, 45463, 25132, 9510, 408, 5958, 7764, 31309, 10528, 35071, 19090, 408, 42360, 5265, 4438, 31309, 18127, 2465, 10158, 2499, 6960, 9913, 9489, 35339, 408, 4136, 19846, 31309, 9153, 1524, 13353, 1684, 12577, 2169, 10, 8778, 408, 13561, 30971, 26323, 13426, 408, 8695, 5265, 4438, 7059, 4136, 19846, 31309, 15703, 16865, 1773, 11104, 568, 5265, 4438, 6960, 31309, 18127, 2465, 10158, 408, 9555, 1603, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 9014, 1002, 3178, 19090, 408, 14635, 1603, 4136, 31309, 19846, 19084, 9107, 2338, 408, 4136, 7819, 2366, 18599, 14687, 9580, 2860, 43679, 6960, 568, 204, 9768, 5265, 4438, 10265, 4304, 4068, 5556, 24655, 32882, 460, 9913, 10, 460, 18127, 4129, 10158, 33755, 6429, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 20742, 9014, 6371, 1002, 3178, 19090, 568, 12253, 31309, 18127, 2235, 10158, 1951, 6809, 408, 5265, 4438, 21133, 31309, 18127, 3248, 8075, 1227, 6326, 7819, 1284, 15306, 2370, 31809, 3013, 3304, 21816, 9903, 2338, 11900, 39906, 24504, 12037, 5265, 4438, 31309, 5038, 921, 7764, 17889, 11567, 24504, 408, 29491, 6583, 7282, 1262, 21816, 37176, 18639, 31309, 19539, 32874, 3654, 568, 204, 3167, 17379, 408, 24919, 14882, 1565, 26, 36507, 408, 4136, 31309, 3560, 46585, 21007, 41254, 32896, 19, 22, 28118, 408, 30487, 7879, 19, 28, 10, 19846, 31309, 9153, 1524, 11476, 31309, 13353, 1684, 12577, 2169, 10, 8778, 568, 3136, 34084, 408, 4136, 31309, 4127, 3725, 13561, 30971, 26323, 13426, 408, 5265, 4438, 725, 6523, 1550, 39489, 725, 30697, 7678, 4136, 19846, 31309, 15703, 16865, 1773, 568, 3136, 25213, 5265, 4438, 6960, 31309, 18127, 2465, 10158, 408, 9555, 1603, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 9014, 1002, 3178, 19090, 408, 1886, 1603, 4136, 31309, 19846, 35801, 5459, 10444, 9304, 568, 30548, 30971, 15728, 19846, 31309, 408, 40765, 11476, 460, 7819, 2366, 33594, 725, 7819, 2366, 18599, 1955, 3560, 9580, 7858, 19998, 7780, 408, 5265, 4438, 31309, 18127, 2465, 10158, 460, 6960, 408, 5827, 5083, 1456, 9145, 4136, 7819, 2366, 18599, 3560, 9580, 408, 4264, 7115, 43968, 6233, 9980, 2112, 45330, 725, 5673, 20342, 5151, 14871, 725, 47100, 7819, 2366, 18599, 19846, 1951, 33755, 1955, 37363, 15877, 7819, 2366, 19104, 725, 7819, 2366, 18599, 5038, 408, 4762, 15098, 831, 2494, 11436, 568, 0, 647, 1361, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1061, 204, 204, 8, 968, 273, 2082, 348, 275, 2413, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 6419, 436, 838, 68, 1957, 68, 7492, 13, 7492, 68, 481, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 2605, 273, 717, 4263, 292, 275, 1104, 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, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 481, 31, 332, 955, 1174, 4263, 1483, 17, 2864, 588, 17, 1714, 17, 12289, 88, 17, 329, 6398, 68, 2340, 12737, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 955, 440, 273, 379, 1181, 12, 329, 379, 1454, 12, 5850, 275, 5889, 302, 275, 2661, 19, 204, 264, 320, 204, 264, 314, 3866, 275, 4263, 424, 2518, 7770, 204, 264, 3587, 68, 1300, 289, 4177, 3893, 68, 7492, 68, 481, 13, 7492, 68, 481, 14, 204, 264, 397, 3587, 68, 1300, 736, 1181, 839, 2167, 379, 21, 597, 204, 268, 407, 3587, 68, 1300, 204, 204, 264, 810, 31, 204, 268, 314, 2069, 273, 717, 4263, 1222, 204, 268, 717, 68, 7492, 68, 359, 289, 4177, 1900, 68, 2715, 68, 7492, 68, 359, 374, 204, 204, 268, 314, 1986, 4263, 424, 204, 268, 4263, 68, 417, 289, 4263, 68, 481, 736, 417, 839, 204, 268, 1714, 289, 4263, 68, 481, 736, 1835, 839, 204, 268, 12289, 88, 289, 4263, 68, 481, 736, 2340, 12737, 839, 204, 268, 6398, 68, 2340, 12737, 289, 4263, 68, 481, 736, 4266, 68, 2340, 12737, 839, 204, 204, 268, 314, 666, 275, 717, 4263, 204, 268, 4177, 838, 68, 7492, 13, 1957, 68, 7492, 68, 359, 17, 4263, 68, 417, 17, 1714, 14, 204, 268, 4177, 2106, 68, 7492, 68, 33163, 1110, 13, 1957, 68, 7492, 68, 359, 17, 12289, 88, 14, 204, 268, 4177, 2106, 68, 7492, 68, 2539, 68, 33163, 1110, 13, 1957, 68, 7492, 68, 359, 17, 6398, 68, 2340, 12737, 14, 204, 204, 268, 407, 2552, 1181, 597, 379, 21, 491, 379, 1454, 597, 379, 15123, 1966, 4073, 6241, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 2710, 348, 17114, 5356, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 4141, 4263, 31, 463, 74, 743, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 3504, 311, 838, 4263, 6241, 204, 204, 6419, 436, 3893, 68, 7492, 68, 481, 13, 7492, 68, 481, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 11149, 4263, 424, 2518, 7770, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 481, 31, 332, 955, 1174, 4263, 1483, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 955, 440, 273, 379, 1181, 12, 329, 379, 1454, 12, 5850, 275, 3587, 5889, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 4263, 588, 353, 1392, 204, 264, 397, 508, 4263, 68, 481, 19, 505, 499, 417, 6471, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 15123, 588, 2950, 444, 1392, 6241, 204, 204, 264, 314, 778, 397, 275, 4263, 588, 2861, 2560, 204, 264, 397, 4177, 1356, 68, 7492, 68, 417, 68, 4332, 13, 7492, 68, 481, 1166, 417, 28133, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 15123, 588, 2861, 2560, 6241, 204, 204, 264, 407, 2552, 1181, 597, 379, 21, 491, 379, 1454, 597, 379, 17189, 2707, 6241, 204, 204, 6419, 436, 1356, 68, 7492, 68, 417, 68, 4332, 13, 7492, 68, 417, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 4263, 440, 275, 800, 588, 2861, 2560, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 417, 31, 334, 588, 302, 275, 4263, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 264, 338, 959, 397, 275, 4263, 2560, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 37283, 1484, 311, 5068, 4053, 21411, 204, 264, 3790, 289, 388, 7097, 24748, 13, 21, 14, 7281, 265, 68, 7492, 8888, 548, 32977, 13, 417, 14, 289, 1564, 88, 7, 204, 264, 722, 289, 4177, 4470, 68, 664, 482, 590, 19, 2120, 68, 389, 13, 4655, 17, 322, 7492, 68, 417, 19, 5231, 2144, 602, 204, 264, 407, 722, 64, 21, 66, 1323, 500, 204, 204, 6419, 436, 1900, 68, 2715, 68, 7492, 68, 359, 374, 393, 421, 31, 204, 264, 320, 204, 264, 6071, 275, 1682, 2755, 4263, 1222, 19, 204, 204, 264, 475, 31, 204, 264, 338, 334, 1682, 2755, 4263, 1222, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 1900, 275, 1682, 4263, 1222, 204, 264, 314, 1765, 6893, 5356, 17, 5257, 490, 677, 273, 3277, 36798, 1222, 204, 264, 3790, 289, 388, 7097, 8438, 13, 359, 14, 7281, 265, 68, 7492, 7, 204, 264, 722, 289, 4177, 4470, 68, 664, 482, 590, 19, 2120, 68, 389, 13, 4655, 14, 204, 264, 407, 722, 64, 21, 66, 465, 368, 397, 722, 64, 21, 66, 353, 508, 443, 902, 368, 204, 204, 6419, 436, 838, 68, 7492, 13, 7492, 68, 359, 31, 421, 17, 4263, 68, 417, 31, 394, 17, 1714, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 4263, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 838, 19, 204, 264, 338, 4263, 68, 417, 31, 334, 588, 302, 275, 4263, 311, 838, 19, 204, 264, 338, 1714, 31, 334, 1714, 302, 275, 4263, 311, 838, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 37283, 1484, 311, 5068, 4053, 21411, 204, 264, 3790, 289, 320, 14483, 12377, 265, 68, 7492, 322, 359, 17, 588, 17, 1714, 17, 5247, 68, 672, 17, 16291, 17, 1673, 68, 2045, 68, 672, 17, 8726, 730, 14, 204, 4535, 12804, 18958, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 14, 315, 204, 264, 4177, 4470, 68, 664, 482, 590, 19, 5472, 68, 4655, 13, 4655, 17, 322, 7492, 68, 359, 17, 4263, 68, 417, 17, 1714, 17, 1804, 19, 1520, 2144, 379, 3349, 38, 491, 1804, 19, 1520, 2144, 379, 3349, 38, 3063, 204, 204, 6419, 436, 2106, 68, 7492, 68, 33163, 1110, 13, 7492, 68, 359, 31, 421, 17, 12289, 88, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 28679, 348, 273, 4263, 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, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 2106, 28679, 348, 19, 204, 264, 338, 12289, 88, 31, 334, 28679, 311, 2106, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 2106, 275, 4263, 28679, 204, 264, 1879, 204, 204, 6419, 436, 2106, 68, 7492, 68, 2539, 68, 33163, 1110, 13, 7492, 68, 359, 31, 421, 17, 6398, 68, 2340, 12737, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 741, 28679, 348, 273, 4263, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 2106, 741, 28679, 348, 19, 204, 264, 338, 6398, 68, 2340, 12737, 31, 334, 741, 28679, 311, 2106, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 2106, 275, 4263, 741, 28679, 204, 264, 1879, 204, 0, 461, 353, 68, 1018, 68, 1663, 13, 1663, 31, 458, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 537, 353, 273, 1097, 1525, 322, 78, 19, 74, 2458, 273, 458, 302, 3330, 789, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 330, 334, 537, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 537, 353, 273, 1097, 1525, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 458, 329, 830, 1163, 1842, 529, 1425, 3330, 204, 264, 407, 2381, 13, 1663, 17, 458, 14, 329, 830, 13, 12090, 13, 937, 17, 458, 14, 348, 1237, 292, 1525, 14, 204, 204, 204, 461, 2415, 68, 1663, 13, 768, 68, 1663, 31, 458, 64, 655, 64, 339, 1152, 818, 4097, 393, 458, 64, 655, 64, 339, 1152, 818, 2440, 204, 264, 320, 204, 264, 9748, 275, 1842, 302, 273, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1663, 322, 655, 64, 655, 64, 339, 1152, 818, 3795, 334, 537, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 1152, 818, 2440, 334, 8030, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 1097, 1525, 521, 3192, 1950, 18, 12011, 1019, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 1097, 1525, 204, 264, 397, 508, 353, 68, 1018, 68, 1663, 13, 768, 68, 1663, 330, 204, 268, 980, 987, 499, 1962, 1525, 431, 204, 204, 264, 314, 778, 397, 275, 1525, 3192, 1950, 18, 12011, 1019, 204, 264, 397, 508, 830, 13, 12090, 13, 1849, 17, 322, 339, 17, 818, 602, 348, 1237, 292, 537, 68, 1663, 348, 1103, 292, 1237, 330, 204, 268, 980, 987, 499, 11767, 3192, 1950, 18, 12011, 1019, 431, 204, 204, 264, 314, 9748, 275, 1842, 302, 275, 1525, 974, 458, 6459, 204, 264, 8030, 68, 1663, 289, 5787, 1849, 930, 435, 348, 1103, 292, 1237, 66, 348, 1237, 292, 537, 68, 1663, 66, 204, 264, 407, 8030, 68, 1663, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 1525, 289, 5787, 22, 17, 435, 17, 571, 648, 551, 25, 17, 720, 17, 887, 2629, 204, 264, 810, 31, 204, 268, 8030, 289, 2415, 68, 1663, 13, 1663, 14, 204, 268, 456, 499, 41101, 9260, 2212, 204, 268, 348, 1237, 292, 8030, 31, 204, 305, 456, 13, 937, 14, 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, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 17334, 448, 275, 667, 2901, 917, 348, 275, 1650, 19, 204, 3837, 36860, 273, 1727, 311, 275, 1104, 329, 6944, 275, 2924, 9166, 19, 204, 315, 204, 204, 531, 1863, 532, 1451, 68, 2819, 68, 2602, 204, 531, 24536, 532, 1523, 68, 3424, 68, 816, 68, 9259, 204, 531, 1361, 532, 25530, 17, 24452, 204, 204, 8, 666, 273, 2082, 311, 2906, 2805, 329, 2744, 204, 3342, 289, 25530, 3843, 417, 4422, 204, 204, 461, 7087, 68, 2819, 68, 2602, 374, 393, 443, 31, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 273, 1727, 311, 275, 1104, 204, 268, 1104, 68, 2602, 289, 1451, 68, 2819, 68, 2602, 374, 204, 268, 407, 1104, 68, 2602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2805, 496, 1336, 1882, 1104, 1727, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 7087, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1523, 68, 5580, 13, 2819, 68, 2602, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 2924, 9166, 440, 275, 1917, 1104, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 2602, 31, 334, 7634, 1104, 1727, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2466, 275, 2924, 9166, 440, 275, 1104, 1727, 204, 268, 1523, 68, 3424, 68, 3802, 13, 2819, 68, 2602, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2805, 496, 1336, 1882, 1650, 5156, 204, 268, 2082, 19, 718, 13, 75, 7, 2021, 908, 3129, 1882, 1650, 5156, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 1650, 19, 204, 204, 264, 22548, 273, 1727, 311, 275, 1104, 329, 6944, 275, 2924, 9166, 19, 204, 264, 320, 204, 264, 314, 1359, 275, 1361, 1870, 311, 24452, 204, 264, 2082, 19, 12419, 13, 8252, 14, 204, 204, 264, 314, 9050, 273, 1727, 311, 275, 1104, 204, 264, 1104, 68, 2602, 289, 7087, 68, 2819, 68, 2602, 374, 204, 204, 264, 314, 778, 397, 275, 1104, 1727, 867, 2707, 204, 264, 397, 1104, 68, 2602, 31, 204, 268, 314, 2466, 275, 1650, 440, 275, 7634, 1104, 1727, 204, 268, 1523, 68, 5580, 13, 2819, 68, 2602, 14, 204, 264, 902, 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, 268, 314, 2175, 437, 908, 397, 275, 1104, 1727, 5585, 204, 268, 2082, 19, 718, 499, 3504, 311, 7087, 1104, 1727, 19, 9258, 34590, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 10721, 311, 14712, 677, 24901, 204, 25835, 677, 24901, 353, 273, 6542, 1581, 496, 25040, 5544, 9728, 6542, 3454, 322, 21, 17, 368, 17, 318, 17, 296, 17, 329, 5780, 14, 329, 2327, 4802, 6542, 2758, 322, 24683, 17, 6177, 17, 329, 19883, 14, 292, 273, 2875, 1581, 31, 686, 74, 1881, 78, 65, 1460, 98, 465, 368, 289, 500, 2176, 2416, 3126, 808, 6572, 17, 572, 1519, 311, 2280, 1873, 1163, 4550, 17, 2864, 3263, 17, 12701, 17, 17488, 3196, 17, 329, 3700, 886, 19, 204, 204, 658, 1687, 435, 31, 12775, 10860, 329, 41599, 204, 38, 741, 353, 273, 7159, 1283, 273, 758, 302, 3806, 322, 10277, 275, 4064, 14, 329, 273, 758, 302, 2237, 6360, 322, 10277, 275, 933, 789, 334, 5442, 302, 273, 741, 4504, 275, 2233, 302, 2652, 302, 275, 741, 677, 919, 440, 4130, 311, 1051, 302, 1163, 3806, 19, 1765, 1763, 17, 275, 5442, 302, 686, 75, 13, 93, 14, 289, 610, 67, 23, 9, 353, 686, 75, 5822, 93, 14, 289, 435, 93, 2543, 928, 3210, 496, 348, 2589, 2350, 2931, 292, 610, 17, 275, 919, 302, 686, 75, 13, 93, 3920, 7529, 560, 686, 23, 93, 9, 4099, 19, 204, 204, 658, 1687, 571, 31, 45743, 275, 9554, 12469, 302, 26050, 204, 673, 9554, 12469, 302, 26050, 3584, 496, 397, 686, 75, 13, 93, 14, 289, 1711, 67, 71, 2543, 1675, 686, 75, 5822, 93, 14, 289, 995, 93, 1881, 71, 18, 22, 4742, 1058, 4090, 353, 6456, 348, 6154, 275, 12701, 302, 5326, 3263, 329, 353, 273, 896, 4781, 292, 3356, 4059, 14712, 677, 24901, 19, 204, 204, 658, 1687, 681, 31, 10721, 311, 17488, 10665, 204, 38, 17488, 3196, 353, 273, 2501, 311, 1173, 273, 741, 448, 437, 11015, 1066, 302, 3099, 496, 529, 8286, 292, 3099, 302, 275, 1019, 302, 275, 741, 677, 12701, 630, 273, 2875, 917, 19, 334, 17488, 3196, 348, 273, 741, 686, 75, 13, 93, 3920, 3332, 686, 93, 289, 500, 9, 353, 800, 560, 686, 75, 13, 93, 14, 289, 283, 13, 21, 14, 465, 283, 5822, 21, 14, 93, 465, 688, 1209, 96, 75, 21586, 21, 9844, 23, 29121, 93, 67, 23, 465, 688, 1209, 96, 75, 7848, 5822, 21, 9844, 24, 29121, 93, 67, 24, 465, 688, 18455, 2176, 204, 204, 658, 1687, 720, 31, 12597, 4059, 275, 17488, 10665, 348, 686, 74, 67, 93, 9, 204, 4931, 275, 3718, 496, 275, 5442, 302, 686, 74, 67, 93, 9, 353, 686, 74, 67, 93, 2543, 572, 618, 14989, 275, 17488, 3196, 348, 686, 74, 67, 93, 9, 448, 686, 74, 67, 93, 289, 368, 465, 610, 465, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 465, 688, 1209, 96, 93, 67, 24, 1134, 24, 29121, 465, 688, 18455, 2176, 204, 204, 658, 1687, 887, 31, 12775, 38688, 329, 35776, 10860, 204, 673, 10362, 329, 10115, 3263, 618, 444, 6717, 448, 17488, 3196, 31, 1743, 2883, 610, 289, 610, 338, 688, 1209, 96, 93, 67, 24, 1134, 24, 29121, 465, 688, 1209, 96, 93, 67, 26, 1134, 26, 29121, 338, 688, 18455, 9, 329, 1743, 2809, 610, 289, 368, 338, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 465, 688, 1209, 96, 93, 67, 25, 1134, 25, 29121, 338, 688, 18455, 2176, 204, 204, 658, 1687, 1168, 31, 10721, 311, 12503, 8587, 204, 25381, 886, 529, 886, 496, 618, 444, 8286, 292, 275, 798, 686, 70, 465, 6975, 2543, 1273, 686, 70, 9, 329, 686, 71, 9, 529, 2318, 886, 329, 686, 78, 9, 353, 275, 15059, 2350, 17, 928, 12478, 686, 78, 67, 23, 289, 338, 22, 2176, 204, 204, 658, 1687, 1132, 31, 12597, 4059, 14712, 677, 24901, 204, 3609, 23751, 686, 1077, 9, 348, 686, 93, 9, 292, 275, 17488, 3196, 348, 686, 74, 67, 93, 2543, 572, 636, 686, 74, 1881, 1077, 98, 289, 368, 465, 38181, 338, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 338, 688, 1209, 96, 1077, 67, 24, 1134, 24, 29121, 465, 688, 18455, 2176, 4496, 275, 17488, 3196, 348, 10362, 329, 10115, 17, 572, 618, 9721, 808, 448, 686, 74, 1881, 1077, 98, 289, 688, 2809, 610, 465, 296, 65, 2883, 610, 2176, 24419, 686, 93, 289, 688, 1460, 2543, 572, 636, 686, 74, 1881, 78, 65, 1460, 98, 289, 688, 2809, 688, 1460, 465, 296, 65, 2883, 688, 1460, 289, 338, 22, 2176, 6263, 17, 686, 74, 1881, 78, 65, 1460, 98, 465, 368, 289, 500, 2543, 928, 353, 14712, 677, 24901, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 74, 1881, 78, 65, 1460, 98, 338, 368, 289, 500, 1617, 0, 461, 1040, 68, 3641, 68, 633, 68, 43369, 68, 30300, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 3942, 311, 5288, 275, 1913, 302, 273, 32126, 440, 300, 25048, 17, 204, 264, 1273, 273, 1874, 618, 20968, 4260, 368, 521, 435, 25048, 630, 273, 690, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 542, 302, 25048, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3942, 311, 5288, 275, 1913, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 300, 353, 508, 273, 2140, 1534, 19, 204, 264, 320, 204, 264, 397, 508, 2381, 13, 83, 17, 421, 14, 521, 300, 2186, 500, 31, 204, 268, 980, 987, 499, 83, 1631, 444, 273, 2140, 1534, 431, 204, 204, 264, 314, 3301, 2910, 204, 264, 397, 300, 564, 368, 31, 204, 268, 314, 3065, 677, 1698, 1051, 2501, 311, 20968, 368, 20619, 322, 22, 1660, 14, 204, 268, 407, 368, 204, 264, 1677, 300, 564, 435, 31, 204, 268, 314, 3065, 529, 970, 3942, 311, 20968, 435, 25048, 322, 22, 16, 22, 521, 435, 14, 204, 268, 407, 435, 204, 204, 264, 314, 977, 273, 458, 311, 1640, 275, 542, 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, 3942, 311, 5288, 848, 20619, 204, 264, 3942, 68, 633, 68, 43369, 289, 551, 21, 66, 540, 322, 83, 465, 368, 14, 204, 264, 3942, 68, 633, 68, 43369, 64, 22, 66, 289, 368, 204, 264, 3942, 68, 633, 68, 43369, 64, 23, 66, 289, 435, 204, 204, 264, 314, 888, 275, 542, 302, 3942, 311, 5288, 848, 20619, 974, 8175, 7786, 204, 264, 348, 790, 68, 45234, 292, 933, 13, 24, 17, 300, 465, 368, 330, 204, 268, 314, 334, 542, 302, 3942, 311, 5288, 275, 790, 20619, 353, 275, 1066, 302, 275, 3942, 311, 5288, 275, 3090, 970, 25048, 204, 268, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 66, 289, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 338, 368, 66, 465, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 338, 435, 66, 204, 204, 264, 407, 3942, 68, 633, 68, 43369, 64, 83, 66, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1295, 2910, 204, 264, 348, 771, 68, 30300, 292, 933, 13, 22, 17, 887, 330, 204, 268, 456, 13, 75, 7, 4290, 302, 3942, 311, 20968, 463, 920, 68, 30300, 98, 25048, 31, 463, 765, 68, 3641, 68, 633, 68, 43369, 68, 30300, 13, 920, 68, 30300, 3835, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 315, 204, 3732, 1174, 275, 424, 570, 348, 18044, 2147, 1640, 2696, 19, 204, 315, 204, 204, 647, 7693, 204, 204, 676, 5403, 12909, 4307, 13, 14569, 19, 4307, 330, 204, 264, 320, 204, 264, 2646, 273, 18044, 1184, 497, 273, 2147, 1640, 17, 1174, 6826, 1483, 19, 204, 204, 264, 1532, 31, 204, 268, 2147, 4046, 68, 9919, 322, 325, 330, 334, 1274, 302, 275, 2147, 1640, 19, 204, 268, 1640, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2147, 1640, 19, 204, 268, 2147, 4046, 68, 2201, 322, 325, 330, 334, 1870, 302, 275, 2147, 1640, 19, 204, 268, 2147, 4046, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 2147, 1640, 19, 204, 268, 7612, 68, 920, 322, 339, 330, 334, 1113, 542, 302, 26178, 322, 17683, 774, 494, 17, 14956, 17, 329, 19506, 789, 204, 268, 7361, 322, 325, 330, 334, 6374, 302, 275, 2147, 1640, 19, 204, 268, 1225, 68, 834, 322, 325, 330, 334, 6160, 3658, 302, 275, 2147, 1640, 19, 204, 268, 1995, 322, 325, 330, 334, 1995, 302, 275, 2147, 1640, 19, 204, 268, 7361, 68, 920, 322, 339, 330, 334, 542, 302, 11857, 348, 275, 2147, 1640, 19, 204, 268, 774, 272, 68, 920, 322, 339, 330, 334, 542, 302, 774, 272, 8599, 19, 204, 268, 6618, 68, 920, 322, 339, 330, 334, 542, 302, 14956, 8599, 19, 204, 268, 4185, 68, 920, 322, 339, 330, 334, 542, 302, 19506, 8599, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 2357, 348, 275, 1184, 204, 264, 2147, 4046, 68, 9919, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1274, 204, 264, 1640, 68, 417, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 588, 204, 264, 2147, 4046, 68, 2201, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1870, 204, 264, 2147, 4046, 68, 932, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1187, 204, 264, 7612, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 7867, 7612, 1040, 204, 264, 7361, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 6374, 204, 264, 1225, 68, 834, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 19496, 3658, 204, 264, 1995, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1995, 204, 264, 7361, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 3239, 302, 11857, 204, 264, 774, 272, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 15256, 272, 1552, 1040, 204, 264, 6618, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 31530, 11229, 1552, 1040, 204, 264, 4185, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 3300, 17018, 1552, 1040, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5403, 12909, 4307, 19, 204, 268, 320, 204, 268, 407, 283, 7, 11424, 12909, 4307, 13, 4046, 68, 417, 2508, 327, 736, 4046, 68, 417, 18570, 2147, 4046, 68, 9919, 2508, 327, 736, 5365, 4046, 68, 9919, 839, 9222, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 475, 273, 955, 2355, 302, 275, 5403, 12909, 4307, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 5365, 4046, 68, 9919, 559, 370, 1166, 5365, 4046, 68, 9919, 2869, 204, 305, 388, 4046, 68, 417, 559, 370, 1166, 4046, 68, 417, 2869, 204, 305, 388, 5365, 4046, 68, 2201, 559, 370, 1166, 5365, 4046, 68, 2201, 2869, 204, 305, 388, 5365, 4046, 68, 932, 559, 370, 1166, 5365, 4046, 68, 932, 2869, 204, 305, 388, 16293, 68, 920, 559, 370, 1166, 16293, 68, 920, 2869, 204, 305, 388, 17558, 559, 370, 1166, 17558, 2869, 204, 305, 388, 1208, 68, 834, 559, 370, 1166, 1208, 68, 834, 2869, 204, 305, 388, 2820, 559, 370, 1166, 2820, 2869, 204, 305, 388, 17558, 68, 920, 559, 370, 1166, 17558, 68, 920, 2869, 204, 305, 388, 605, 272, 68, 920, 559, 370, 1166, 605, 272, 68, 920, 2869, 204, 305, 388, 46106, 68, 920, 559, 370, 1166, 46106, 68, 920, 2869, 204, 305, 388, 2714, 68, 920, 559, 370, 1166, 2714, 68, 920, 2869, 204, 268, 1211, 204, 0, 531, 5920, 532, 7826, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 5345, 68, 2700, 13, 2700, 31, 783, 64, 1218, 64, 325, 4097, 393, 1884, 64, 339, 17, 421, 17, 421, 17, 421, 17, 783, 64, 1218, 64, 2107, 10778, 204, 264, 320, 204, 264, 977, 275, 2333, 329, 1020, 275, 1012, 329, 4297, 1728, 19, 204, 204, 264, 457, 31, 204, 264, 2333, 322, 1218, 64, 1218, 64, 325, 3795, 332, 435, 41, 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, 458, 2457, 275, 2333, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 339, 17, 421, 17, 421, 17, 421, 17, 783, 64, 1218, 64, 2107, 10778, 332, 927, 1174, 275, 1012, 1237, 17, 1012, 1837, 17, 716, 264, 4297, 1237, 17, 4297, 1837, 17, 329, 273, 435, 41, 458, 2457, 275, 4371, 4207, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 264, 3015, 17, 2630, 289, 1245, 13, 2700, 659, 1245, 13, 2700, 64, 21, 694, 204, 615, 264, 314, 977, 273, 435, 41, 458, 311, 3550, 3234, 302, 4371, 4207, 204, 264, 4371, 289, 5787, 1975, 348, 906, 292, 933, 13, 3786, 2395, 348, 906, 292, 933, 13, 3173, 2395, 204, 615, 264, 314, 977, 2558, 311, 1640, 275, 1012, 329, 4297, 1728, 204, 264, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4297, 68, 937, 17, 4297, 68, 3071, 289, 338, 22, 17, 338, 22, 17, 338, 22, 17, 338, 22, 204, 615, 264, 314, 1861, 1048, 275, 2333, 311, 1020, 275, 1012, 329, 4297, 1728, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 348, 781, 292, 933, 13, 3786, 330, 204, 305, 314, 5979, 275, 2092, 448, 4371, 397, 490, 677, 273, 5999, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 33921, 204, 485, 4371, 64, 78, 1799, 79, 66, 289, 959, 204, 305, 314, 1716, 275, 1012, 917, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 379, 88, 597, 204, 485, 1012, 68, 937, 17, 1012, 68, 3071, 289, 296, 17, 781, 204, 305, 314, 1716, 275, 4297, 917, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 379, 73, 597, 204, 485, 4297, 68, 937, 17, 4297, 68, 3071, 289, 296, 17, 781, 204, 7933, 264, 407, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4297, 68, 937, 17, 4297, 68, 3071, 17, 4371, 204, 204, 204, 461, 35750, 13, 2700, 31, 783, 64, 1218, 64, 325, 4395, 1012, 68, 937, 31, 421, 17, 1012, 68, 3071, 31, 421, 17, 4371, 31, 783, 64, 1218, 64, 2107, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 3055, 273, 15715, 18, 2922, 1813, 311, 1020, 275, 8468, 832, 497, 275, 1012, 917, 311, 275, 4297, 917, 19, 204, 204, 264, 457, 31, 204, 264, 2333, 322, 1218, 64, 1218, 64, 325, 3795, 332, 435, 41, 458, 2457, 275, 2333, 19, 204, 264, 1012, 68, 937, 322, 339, 330, 334, 1237, 302, 275, 1012, 917, 19, 204, 264, 1012, 68, 3071, 322, 339, 330, 334, 1837, 302, 275, 1012, 917, 19, 204, 264, 4371, 322, 1218, 64, 1218, 64, 2107, 3795, 332, 435, 41, 458, 2457, 275, 4371, 4207, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1759, 311, 275, 4297, 917, 397, 1193, 17, 338, 22, 2130, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 264, 3015, 17, 2630, 289, 1245, 13, 2700, 659, 1245, 13, 2700, 64, 21, 694, 204, 615, 264, 314, 666, 273, 2769, 348, 19040, 329, 881, 275, 1012, 917, 204, 264, 2769, 289, 7826, 19748, 1530, 68, 937, 17, 1012, 68, 3071, 17, 500, 7971, 204, 615, 264, 314, 5979, 275, 1012, 917, 448, 4371, 204, 264, 4371, 64, 1530, 68, 937, 1799, 1530, 68, 3071, 66, 289, 959, 204, 615, 264, 314, 968, 275, 2237, 12773, 322, 398, 17, 1873, 17, 1824, 17, 1629, 14, 204, 264, 12773, 289, 29114, 22, 17, 500, 659, 322, 22, 17, 500, 659, 322, 21, 17, 338, 22, 659, 322, 21, 17, 368, 2395, 204, 615, 264, 314, 3055, 19040, 204, 264, 1335, 2769, 31, 204, 268, 1237, 17, 1837, 17, 1759, 289, 2769, 19, 17387, 374, 204, 822, 268, 314, 778, 397, 275, 790, 2092, 353, 275, 4297, 204, 268, 397, 2333, 64, 937, 1799, 3071, 66, 564, 379, 73, 597, 204, 305, 407, 1759, 204, 822, 268, 314, 19947, 275, 7343, 204, 268, 348, 4180, 17, 21255, 292, 12773, 31, 204, 305, 717, 68, 937, 17, 717, 68, 3071, 289, 1237, 465, 4180, 17, 1837, 465, 21255, 204, 3123, 305, 314, 778, 397, 275, 6199, 353, 2614, 275, 2333, 10873, 329, 508, 4371, 204, 305, 397, 322, 21, 2186, 717, 68, 937, 962, 3015, 329, 500, 2186, 717, 68, 3071, 962, 2630, 329, 204, 895, 508, 4371, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 329, 2333, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 2167, 12072, 4448, 204, 485, 314, 1255, 275, 6199, 311, 275, 2769, 329, 2434, 490, 448, 4371, 204, 485, 2769, 19, 1223, 1802, 1957, 68, 937, 17, 717, 68, 3071, 17, 1759, 465, 368, 602, 204, 485, 4371, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 289, 959, 204, 7933, 264, 314, 455, 338, 22, 397, 275, 4297, 353, 508, 22416, 204, 264, 407, 338, 22, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 2333, 204, 264, 2333, 289, 31099, 21, 491, 33497, 379, 21, 491, 379, 88, 2043, 204, 305, 2470, 27602, 379, 21, 491, 33497, 12072, 2043, 204, 305, 2470, 21, 491, 33497, 33497, 12072, 2043, 204, 305, 2470, 73, 491, 33497, 33497, 12072, 11653, 204, 615, 264, 314, 977, 275, 2333, 329, 1020, 275, 1012, 329, 4297, 1728, 204, 264, 1012, 68, 937, 17, 1012, 68, 3071, 17, 6915, 6915, 4371, 289, 5345, 68, 2700, 13, 2700, 14, 204, 615, 264, 314, 3055, 19040, 311, 1020, 275, 8468, 832, 204, 264, 1759, 289, 35750, 13, 2700, 17, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4371, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 397, 1759, 2167, 338, 22, 31, 204, 268, 456, 13, 75, 7, 673, 8468, 1759, 311, 275, 4297, 353, 463, 3174, 743, 204, 264, 902, 31, 204, 268, 456, 499, 673, 4297, 353, 508, 22416, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7826, 204, 531, 1498, 532, 783, 17, 1359, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 537, 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, 497, 275, 575, 329, 2584, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 264, 407, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 204, 204, 461, 1151, 68, 5729, 13, 920, 68, 5729, 31, 421, 17, 771, 68, 3076, 31, 421, 14, 393, 783, 64, 3029, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 3885, 497, 275, 575, 329, 2584, 273, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 7343, 302, 273, 944, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 5729, 322, 339, 330, 334, 542, 302, 3885, 19, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 3029, 64, 339, 2440, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 7343, 302, 273, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 458, 302, 3416, 311, 1640, 275, 7343, 302, 848, 944, 204, 264, 7343, 289, 551, 574, 374, 348, 906, 292, 933, 13, 920, 68, 3076, 465, 368, 2395, 204, 615, 264, 314, 1606, 275, 3885, 497, 275, 575, 329, 1395, 275, 7343, 458, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5729, 330, 204, 268, 944, 22, 17, 944, 23, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 268, 7343, 64, 1241, 22, 1664, 826, 13, 1241, 23, 14, 204, 268, 7343, 64, 1241, 23, 1664, 826, 13, 1241, 22, 14, 204, 615, 264, 407, 7343, 204, 204, 461, 949, 68, 4319, 13, 920, 68, 3076, 31, 421, 17, 8120, 31, 783, 64, 3029, 64, 339, 4395, 19058, 31, 783, 64, 3029, 64, 339, 4097, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 3703, 348, 848, 944, 1609, 523, 275, 542, 302, 8120, 329, 19058, 3885, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 19, 204, 268, 8120, 322, 1218, 64, 3029, 64, 339, 3795, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 8120, 302, 273, 944, 19, 204, 268, 19058, 322, 1218, 64, 3029, 64, 339, 3795, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 19058, 3885, 302, 273, 944, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 339, 744, 332, 458, 302, 3703, 17, 1273, 848, 2279, 4504, 275, 542, 302, 2731, 496, 618, 444, 7486, 560, 273, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 458, 311, 1640, 275, 3703, 302, 848, 944, 204, 264, 3703, 289, 551, 21, 66, 540, 322, 920, 68, 3076, 465, 368, 14, 204, 615, 264, 314, 977, 273, 458, 311, 3550, 3234, 302, 4371, 2731, 204, 264, 4371, 289, 551, 1975, 66, 540, 322, 920, 68, 3076, 465, 368, 14, 204, 615, 264, 314, 1861, 1048, 848, 944, 204, 264, 348, 944, 292, 933, 13, 22, 17, 771, 68, 3076, 465, 368, 330, 204, 268, 314, 828, 275, 944, 869, 2861, 1742, 4371, 17, 7943, 490, 204, 268, 397, 4371, 64, 1241, 744, 204, 305, 3524, 204, 822, 268, 314, 5979, 275, 944, 448, 4371, 204, 268, 4371, 64, 1241, 66, 289, 959, 204, 822, 268, 314, 977, 273, 758, 311, 1640, 275, 2731, 496, 618, 444, 7486, 497, 275, 790, 944, 204, 268, 22416, 68, 3076, 289, 463, 1241, 98, 204, 822, 268, 314, 977, 273, 2769, 311, 1640, 275, 2731, 311, 444, 4371, 204, 268, 2769, 289, 7826, 1568, 1241, 694, 204, 822, 268, 314, 3055, 273, 19040, 311, 1020, 830, 22416, 2731, 204, 268, 1335, 2769, 31, 204, 305, 790, 68, 1241, 289, 2769, 19, 17387, 374, 204, 3123, 305, 314, 1861, 1048, 275, 7343, 302, 275, 790, 944, 204, 305, 348, 6199, 292, 8120, 64, 1976, 68, 1241, 744, 204, 485, 314, 828, 275, 6199, 869, 508, 1742, 4371, 329, 353, 508, 19058, 17, 2434, 490, 448, 4371, 329, 881, 490, 311, 275, 2769, 204, 485, 397, 508, 4371, 64, 9431, 66, 329, 6199, 508, 292, 19058, 64, 1976, 68, 1241, 744, 204, 895, 4371, 64, 9431, 66, 289, 959, 204, 895, 22416, 68, 3076, 19, 826, 13, 9431, 14, 204, 895, 2769, 19, 1223, 13, 9431, 14, 204, 822, 268, 314, 888, 275, 2279, 348, 848, 944, 292, 275, 22416, 68, 3076, 758, 204, 268, 348, 22416, 68, 1241, 292, 22416, 68, 3076, 31, 204, 305, 314, 334, 2279, 353, 275, 542, 302, 22416, 2731, 13576, 275, 542, 302, 8120, 329, 19058, 3885, 204, 305, 3703, 64, 27794, 68, 1241, 66, 289, 1245, 13, 27794, 68, 3076, 14, 338, 1245, 13, 16426, 64, 27794, 68, 1241, 66, 2343, 22416, 68, 3076, 14, 338, 1245, 13, 31853, 64, 27794, 68, 1241, 66, 2343, 22416, 68, 3076, 14, 338, 368, 204, 615, 264, 407, 3703, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 537, 17, 9111, 3703, 17, 329, 5538, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 289, 1151, 68, 768, 374, 204, 615, 264, 314, 1606, 275, 3885, 329, 19058, 3885, 497, 275, 575, 204, 264, 8120, 289, 1151, 68, 5729, 13, 920, 68, 5729, 17, 771, 68, 3076, 14, 204, 264, 19058, 289, 1151, 68, 5729, 13, 920, 68, 31853, 68, 5729, 17, 771, 68, 3076, 14, 204, 615, 264, 314, 888, 275, 3703, 348, 848, 944, 204, 264, 3703, 289, 949, 68, 4319, 13, 920, 68, 3076, 17, 8120, 17, 19058, 14, 204, 615, 264, 314, 1198, 275, 3703, 204, 264, 456, 4934, 4319, 64, 22, 10101, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 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, 374, 204, 0, 531, 1498, 532, 783, 17, 1061, 17, 1535, 204, 204, 461, 1040, 68, 14434, 68, 15270, 13, 14434, 68, 655, 31, 783, 64, 325, 648, 1029, 68, 14434, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 7428, 302, 273, 2824, 7969, 292, 275, 7969, 458, 19, 204, 204, 264, 457, 31, 204, 268, 7969, 68, 655, 322, 1218, 64, 325, 1037, 332, 458, 302, 7969, 1987, 19, 204, 268, 1029, 68, 14434, 322, 325, 330, 334, 588, 302, 275, 7969, 311, 1040, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 7428, 302, 275, 7969, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 458, 1040, 1216, 311, 1020, 275, 7428, 302, 275, 1029, 7969, 204, 264, 407, 7969, 68, 655, 19, 765, 13, 2170, 68, 14434, 14, 204, 204, 204, 461, 636, 68, 48161, 68, 438, 13, 92, 46539, 31, 783, 64, 1665, 64, 325, 17, 421, 4395, 33095, 68, 417, 31, 394, 14, 393, 1535, 64, 339, 744, 204, 264, 320, 204, 264, 4071, 275, 2523, 302, 273, 33095, 560, 588, 497, 273, 458, 302, 306, 46539, 19, 204, 204, 264, 457, 31, 204, 268, 306, 46539, 322, 1218, 64, 1665, 64, 325, 17, 421, 3795, 332, 458, 302, 5239, 1174, 33095, 1483, 19, 204, 268, 33095, 68, 417, 322, 325, 330, 334, 588, 302, 275, 33095, 311, 1020, 19, 204, 204, 264, 475, 31, 204, 268, 1535, 64, 339, 744, 334, 2523, 302, 275, 33095, 397, 1193, 17, 443, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 458, 6459, 311, 2081, 275, 306, 46539, 329, 407, 275, 2523, 302, 275, 1029, 33095, 204, 264, 33095, 68, 1408, 289, 551, 48161, 736, 438, 839, 348, 33095, 292, 306, 46539, 397, 33095, 736, 417, 839, 564, 33095, 68, 417, 66, 204, 264, 407, 33095, 68, 1408, 64, 21, 66, 397, 33095, 68, 1408, 902, 443, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 7969, 68, 655, 289, 2470, 46700, 111, 33865, 126, 491, 379, 47998, 114, 491, 379, 172, 121, 103, 491, 379, 173, 117, 119, 174, 236, 261, 39284, 232, 491, 379, 174, 252, 103, 46622, 240, 37344, 228, 491, 379, 174, 42617, 47998, 249, 491, 379, 175, 243, 111, 43716, 232, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 47998, 114, 491, 379, 46700, 111, 33865, 126, 839, 204, 264, 456, 13, 75, 7, 7366, 302, 379, 46700, 111, 33865, 126, 597, 463, 765, 68, 14434, 68, 15270, 13, 14434, 68, 655, 17, 379, 46700, 111, 33865, 126, 20611, 204, 204, 264, 12406, 68, 92, 46539, 289, 551, 204, 268, 2552, 417, 597, 379, 173, 241, 103, 173, 122, 248, 43716, 232, 47667, 118, 491, 379, 438, 597, 26033, 1522, 204, 268, 2552, 417, 597, 379, 173, 106, 104, 33865, 260, 47666, 252, 172, 115, 122, 491, 379, 438, 597, 12961, 1522, 204, 268, 2552, 417, 597, 379, 35536, 103, 173, 232, 103, 31675, 175, 248, 232, 491, 379, 438, 597, 3382, 1522, 204, 264, 2437, 204, 204, 264, 456, 499, 60, 17933, 29874, 2212, 204, 264, 348, 33095, 292, 12406, 68, 92, 46539, 31, 204, 268, 456, 13, 75, 1954, 48161, 736, 417, 43942, 463, 48161, 736, 438, 9436, 204, 204, 264, 456, 3273, 83, 60, 17933, 13995, 39131, 2212, 204, 264, 33095, 68, 2199, 289, 2470, 173, 241, 103, 173, 122, 248, 43716, 232, 47667, 118, 491, 379, 173, 106, 104, 33865, 260, 47666, 252, 172, 115, 122, 491, 379, 35536, 103, 173, 232, 103, 31675, 175, 248, 232, 491, 379, 22898, 118, 42908, 111, 175, 243, 111, 175, 232, 114, 839, 204, 264, 348, 588, 292, 33095, 68, 2199, 31, 204, 268, 2523, 289, 636, 68, 48161, 68, 438, 13, 44235, 68, 92, 46539, 17, 588, 14, 204, 268, 456, 13, 75, 1954, 417, 2829, 463, 438, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 11761, 532, 2111, 204, 531, 1907, 19, 4280, 532, 9845, 204, 204, 8, 968, 273, 1034, 850, 348, 1472, 5020, 311, 4516, 1576, 303, 38871, 204, 676, 10406, 3244, 13, 3244, 330, 204, 264, 320, 204, 264, 332, 1034, 850, 348, 12077, 6214, 19, 204, 204, 264, 1532, 31, 204, 268, 2399, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2399, 311, 2111, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 2399, 68, 417, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 10406, 3244, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 2399, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2399, 311, 2111, 19, 204, 268, 320, 204, 268, 370, 19, 3143, 68, 417, 289, 2399, 68, 417, 204, 204, 264, 436, 636, 13, 327, 17, 824, 330, 204, 268, 320, 204, 268, 5133, 4559, 2164, 348, 275, 1472, 19, 204, 204, 268, 457, 31, 204, 305, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 4638, 31, 334, 5703, 1472, 19, 204, 268, 320, 204, 268, 314, 4784, 275, 1472, 440, 437, 1392, 2085, 204, 268, 407, 2111, 13, 1443, 17, 283, 12, 8381, 4235, 327, 19, 3143, 68, 417, 3572, 2079, 491, 12881, 204, 204, 204, 8, 666, 1472, 5020, 204, 676, 43007, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 2941, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 43007, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 30535, 534, 204, 204, 204, 676, 14614, 6188, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 1465, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 14614, 6188, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 12519, 534, 204, 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, 676, 30333, 6188, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 30333, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 30333, 6188, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 1150, 86, 534, 204, 0, 3728, 353, 4316, 36, 10910, 311, 275, 6720, 391, 555, 18, 8505, 2834, 955, 17, 275, 667, 4790, 302, 4316, 353, 1622, 1947, 4802, 2350, 292, 8295, 30209, 18103, 302, 970, 6757, 304, 4498, 1017, 2804, 10559, 332, 4316, 17, 292, 9293, 42113, 3942, 17, 9995, 302, 970, 1880, 1415, 1120, 17177, 5157, 6971, 311, 3472, 6757, 302, 2804, 1250, 3480, 311, 874, 32, 448, 572, 2379, 7239, 17, 808, 353, 508, 4501, 275, 1322, 19, 204, 3070, 275, 5356, 302, 808, 3062, 17, 382, 1784, 2090, 311, 7253, 523, 3161, 4790, 302, 4316, 17, 1425, 800, 560, 6720, 391, 555, 18, 8505, 2834, 1622, 1933, 302, 4109, 4361, 4099, 39464, 497, 1101, 21899, 448, 6414, 311, 275, 9293, 4316, 10559, 204, 1834, 1350, 4790, 4658, 451, 275, 10931, 311, 838, 329, 7072, 273, 4316, 292, 4109, 3942, 19, 1058, 6019, 2875, 2260, 22154, 17, 3536, 6757, 884, 22154, 17, 22154, 29481, 560, 904, 4316, 5131, 17, 329, 22154, 2927, 719, 302, 1880, 1415, 1193, 848, 904, 1924, 3307, 884, 88, 17775, 17606, 19, 204, 3837, 884, 88, 508, 34298, 348, 1880, 311, 798, 3536, 7369, 440, 5261, 496, 529, 7066, 1017, 5043, 28562, 17, 1101, 1330, 3153, 7369, 3638, 1025, 6497, 17, 39765, 17, 35061, 329, 37236, 8160, 496, 1936, 521, 1965, 5906, 3153, 496, 8295, 869, 14720, 451, 311, 25761, 1282, 440, 5043, 9172, 17, 1250, 529, 5971, 13018, 311, 448, 1622, 10213, 9172, 3582, 204, 38, 1193, 4316, 17, 448, 275, 3018, 5398, 1120, 2512, 872, 311, 3126, 17, 353, 273, 4316, 496, 1051, 13889, 440, 1880, 1415, 529, 508, 5043, 28562, 19, 1058, 3018, 353, 1051, 496, 29503, 497, 275, 40109, 54, 16, 5698, 329, 17, 5575, 311, 13780, 6865, 33995, 17, 490, 867, 1043, 1376, 311, 1622, 24715, 4744, 9679, 270, 14063, 880, 2090, 275, 8705, 9909, 44213, 19711, 88, 302, 275, 5086, 31078, 6129, 3582, 11240, 3556, 448, 1622, 28624, 9172, 1001, 808, 36970, 867, 1966, 440, 275, 8784, 302, 33359, 5261, 2379, 496, 5701, 273, 39765, 329, 37236, 4316, 2549, 4501, 444, 2237, 17, 2219, 397, 490, 19395, 884, 89, 1051, 36855, 497, 5043, 28562, 19, 204, 14884, 7369, 440, 1682, 302, 34069, 529, 3287, 17, 572, 874, 311, 3469, 496, 8489, 1250, 7493, 4006, 884, 89, 1225, 685, 19, 2541, 4498, 5043, 440, 8965, 1120, 508, 3638, 1475, 1025, 273, 39765, 329, 35061, 2545, 19, 26039, 9172, 529, 17514, 448, 5805, 496, 353, 26768, 17, 448, 1880, 872, 874, 311, 4501, 8336, 329, 2886, 17, 1101, 448, 1910, 1784, 2379, 17, 6469, 3536, 5131, 302, 275, 40109, 54, 16, 5698, 17, 808, 353, 508, 275, 1322, 19, 204, 21140, 88, 17, 25377, 17, 37880, 329, 904, 5043, 28562, 1120, 7493, 11809, 8965, 348, 1017, 6978, 6572, 329, 20, 276, 13650, 11640, 2900, 11109, 490, 273, 1350, 6183, 19, 14580, 17, 1422, 529, 18114, 1273, 275, 4316, 618, 1225, 1924, 808, 329, 6083, 496, 1017, 4316, 4985, 353, 508, 273, 1085, 302, 25282, 271, 536, 1026, 8908, 329, 2886, 1475, 1236, 7597, 2075, 17, 1101, 8489, 808, 5409, 884, 89, 11616, 19, 204, 7002, 348, 275, 5644, 1273, 1051, 1698, 6587, 3324, 31147, 497, 1017, 1682, 302, 34069, 17, 490, 353, 14636, 311, 2379, 329, 9356, 496, 3153, 1880, 770, 508, 874, 311, 444, 1214, 4316, 19, 828, 273, 1874, 21282, 311, 2652, 872, 521, 2467, 269, 22327, 11809, 88, 1415, 872, 529, 3913, 311, 1017, 6323, 18395, 17, 329, 2942, 5792, 311, 24118, 1415, 872, 529, 521, 7260, 448, 17, 1250, 4006, 884, 89, 41975, 872, 19, 204, 5009, 4006, 884, 89, 874, 311, 444, 440, 13169, 496, 618, 884, 89, 29460, 31734, 2886, 872, 17, 329, 490, 5409, 884, 89, 7597, 2075, 8295, 4230, 874, 2249, 872, 311, 8732, 31, 872, 618, 798, 1214, 3346, 4316, 19, 204, 18176, 3651, 523, 808, 8504, 355, 41291, 311, 874, 1880, 1415, 2886, 329, 8336, 1475, 19, 332, 1193, 4316, 353, 1051, 496, 11155, 884, 89, 440, 872, 2404, 1250, 5506, 19175, 756, 521, 14107, 32, 1250, 529, 1880, 1415, 5710, 311, 444, 440, 872, 2404, 1250, 3480, 311, 19, 3433, 1120, 8336, 872, 329, 2886, 872, 7870, 1214, 4835, 3307, 17, 329, 2219, 397, 872, 4006, 884, 89, 6635, 5043, 17, 1214, 3633, 1120, 444, 19356, 1194, 3153, 496, 770, 19, 204, 38, 1193, 4316, 353, 273, 4316, 292, 2589, 7211, 302, 275, 1142, 17, 1924, 3094, 2666, 17, 5027, 2666, 329, 2219, 22274, 2666, 17, 1120, 4501, 444, 440, 872, 19, 3433, 1120, 29460, 31734, 8336, 872, 348, 1415, 872, 529, 17, 2219, 292, 18114, 1330, 872, 618, 884, 89, 8336, 11067, 19, 0, 25351, 1614, 886, 17, 1425, 3556, 448, 860, 4056, 886, 17, 529, 273, 1187, 302, 15157, 18, 1096, 542, 292, 5431, 6218, 496, 32821, 275, 1683, 2788, 10602, 3332, 2962, 292, 15157, 18, 1096, 7339, 19, 3433, 529, 1376, 311, 1173, 3060, 2637, 886, 496, 529, 14392, 311, 2962, 1194, 275, 5527, 2519, 542, 19, 204, 204, 777, 3728, 529, 3000, 1614, 886, 9390, 204, 204, 25351, 1614, 886, 529, 886, 440, 273, 6922, 5406, 1194, 275, 5527, 2519, 542, 19, 592, 273, 2519, 15157, 18, 1096, 700, 17, 1422, 529, 1236, 6043, 7152, 292, 275, 4295, 416, 17, 1101, 3000, 1614, 886, 874, 6043, 7152, 292, 275, 4295, 416, 17, 11439, 1475, 311, 1173, 5406, 886, 19, 204, 204, 777, 2920, 529, 3000, 1614, 886, 6717, 9390, 204, 204, 25351, 1614, 886, 529, 6717, 974, 273, 4338, 4051, 292, 275, 15157, 18, 1096, 1883, 19, 592, 44565, 7776, 25, 18, 18094, 17, 3000, 1614, 886, 529, 6093, 440, 273, 33956, 6409, 302, 500, 17, 1101, 529, 24190, 440, 275, 700, 302, 275, 5527, 4675, 6409, 17, 928, 353, 1051, 3114, 19, 204, 204, 777, 13084, 529, 3000, 1614, 886, 3287, 9390, 204, 204, 25351, 1614, 886, 1308, 4569, 8753, 17, 2864, 31, 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, 22, 19, 930, 11537, 42721, 1683, 2788, 1416, 16547, 1614, 886, 2512, 9079, 311, 13395, 7548, 16811, 1330, 275, 722, 353, 2637, 17, 6216, 1194, 24479, 1683, 2788, 299, 311, 2962, 19, 204, 23, 19, 930, 48980, 299, 4854, 560, 2962, 1416, 16547, 1614, 886, 4897, 496, 4998, 329, 11043, 302, 15157, 18, 1096, 886, 6202, 1683, 28763, 17, 20796, 4854, 560, 2962, 2744, 19, 204, 24, 19, 930, 45944, 1462, 3666, 1416, 16547, 1614, 886, 618, 1173, 3060, 2637, 886, 1182, 17915, 1194, 2519, 886, 19, 204, 204, 777, 40028, 6705, 440, 3000, 1614, 886, 777, 204, 204, 11594, 3000, 1614, 886, 529, 7562, 17, 1250, 618, 1425, 3253, 5956, 6705, 523, 1429, 5194, 19, 45241, 3000, 1614, 1019, 292, 8130, 618, 3014, 311, 273, 4883, 10574, 292, 5956, 17, 329, 2219, 1330, 3000, 1614, 1019, 529, 14406, 292, 15875, 17, 275, 2969, 302, 15224, 618, 444, 8016, 19, 204, 204, 777, 6648, 21717, 3000, 1614, 16524, 777, 204, 204, 1449, 4516, 5956, 6705, 17, 1429, 7177, 1741, 5710, 311, 16485, 3000, 1614, 16524, 521, 4672, 1475, 311, 2962, 19, 1058, 618, 444, 3870, 974, 18548, 8725, 521, 1576, 18, 2201, 8506, 17, 1702, 448, 275, 1758, 2970, 574, 3107, 69, 741, 521, 275, 1758, 68, 649, 68, 574, 25742, 69, 6842, 19, 204, 204, 777, 5063, 1576, 777, 204, 204, 1449, 16485, 3000, 1614, 16524, 17, 872, 618, 732, 275, 2631, 1576, 31, 204, 3691, 72, 204, 8, 10203, 962, 75, 3107, 19, 77, 35, 204, 2970, 574, 3107, 13, 11604, 68, 4300, 49, 68, 14237, 6454, 68, 56, 1599, 68, 13660, 1452, 5200, 68, 19793, 5224, 204, 3691, 204, 11892, 17, 872, 618, 732, 275, 2631, 1576, 31, 204, 3691, 72, 204, 8, 10203, 962, 93, 649, 339, 23166, 19, 77, 35, 204, 68, 649, 68, 574, 25742, 13, 906, 649, 68, 505, 25742, 374, 1152, 500, 93, 2934, 2169, 32825, 204, 3691, 204, 7108, 496, 275, 10290, 2501, 311, 16485, 3000, 1614, 16524, 353, 311, 732, 275, 1758, 68, 6688, 68, 8458, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 7847, 69, 20285, 31, 204, 3691, 72, 204, 68, 6688, 68, 8458, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 7847, 9705, 6688, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 1000, 5224, 204, 3691, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 204, 1834, 3467, 3416, 719, 275, 1144, 37030, 30178, 3146, 440, 275, 1945, 6127, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 204, 204, 8, 968, 275, 3146, 3688, 204, 23494, 68, 3344, 31, 394, 289, 388, 80, 1224, 2156, 13878, 7, 204, 23494, 68, 12110, 31, 394, 289, 388, 21, 19, 21, 19, 22, 7, 204, 23494, 68, 25809, 31, 394, 289, 388, 3543, 496, 10428, 273, 1144, 37030, 42510, 4457, 329, 27827, 675, 275, 2696, 311, 23661, 7, 204, 23494, 68, 27505, 31, 394, 289, 388, 4270, 16723, 15146, 2996, 7, 204, 23494, 68, 27505, 68, 12986, 31, 394, 289, 388, 364, 16723, 19, 14398, 2996, 19, 7849, 37, 13260, 19, 1453, 7, 204, 23494, 68, 3778, 31, 394, 289, 3026, 204, 204, 8, 968, 275, 1945, 6127, 348, 275, 3146, 204, 38939, 68, 19369, 1888, 13660, 34860, 31, 458, 64, 325, 66, 289, 3134, 26264, 24, 1339, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 719, 275, 3146, 440, 275, 1945, 6127, 19, 204, 204, 264, 1058, 741, 8913, 275, 3146, 3688, 329, 6127, 17, 329, 1675, 7987, 275, 3219, 741, 497, 12800, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1359, 719, 275, 3146, 440, 275, 1945, 6127, 204, 268, 3219, 13, 204, 305, 588, 34, 23494, 68, 3344, 17, 204, 305, 2585, 34, 23494, 68, 12110, 17, 204, 305, 2342, 34, 23494, 68, 25809, 17, 204, 305, 2799, 34, 23494, 68, 27505, 17, 204, 305, 2799, 68, 2302, 34, 23494, 68, 27505, 68, 12986, 17, 204, 305, 1779, 34, 23494, 68, 3778, 17, 204, 305, 6348, 68, 11729, 34, 38939, 68, 19369, 1888, 13660, 34860, 204, 268, 1179, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 3219, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 1882, 3219, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 3219, 68, 4780, 741, 1330, 275, 3467, 353, 1523, 5104, 204, 264, 3219, 68, 4780, 374, 204, 0, 26720, 1984, 30773, 7292, 460, 1390, 9103, 12321, 408, 19030, 21615, 18118, 942, 5335, 8767, 36057, 11308, 14210, 568, 23286, 408, 36672, 13172, 26693, 8297, 14249, 43263, 48827, 408, 26695, 47269, 408, 13901, 13321, 2371, 6796, 2980, 5776, 9092, 8297, 14249, 44156, 4924, 4795, 7221, 408, 5146, 1550, 12994, 17718, 2371, 6796, 14346, 2433, 1603, 9438, 408, 3455, 5556, 5335, 8767, 1251, 31226, 204, 30773, 7292, 460, 1390, 9103, 12321, 408, 19030, 21615, 18118, 942, 5335, 8767, 36057, 11308, 14210, 568, 23286, 408, 36672, 13172, 26693, 8297, 14249, 43263, 48827, 408, 26695, 47269, 408, 13901, 13321, 2371, 6796, 2980, 5776, 9092, 8297, 14249, 44156, 4924, 4795, 7221, 408, 5146, 1550, 12994, 17718, 2371, 6796, 14346, 2433, 1603, 9438, 408, 3455, 5556, 5335, 8767, 32907, 12165, 2494, 3640, 408, 34784, 1111, 13317, 16869, 21344, 568, 4499, 29053, 9366, 1565, 3725, 46032, 568, 6496, 2773, 723, 238, 854, 8297, 16102, 2371, 6796, 460, 1946, 1116, 408, 1843, 14970, 15588, 1990, 28846, 408, 2218, 3104, 230, 1032, 233, 1111, 1390, 9103, 21965, 15827, 8056, 15877, 13172, 26693, 8297, 14249, 408, 2823, 3455, 5510, 1111, 22146, 2371, 6796, 460, 1946, 3069, 248, 568, 5299, 8960, 2098, 3031, 1990, 408, 3455, 11574, 44253, 13901, 13321, 2371, 6796, 460, 31662, 2449, 10400, 37947, 4438, 460, 18791, 24868, 226, 568, 5843, 11587, 5851, 22960, 460, 42089, 43479, 408, 1970, 3136, 20587, 568, 204, 0, 461, 636, 68, 4509, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 16679, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 16679, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 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, 499, 2101, 275, 542, 302, 16679, 31, 4091, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 4509, 68, 1309, 13, 4509, 68, 765, 31, 421, 14, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 763, 275, 4457, 1019, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 4457, 68, 765, 322, 339, 330, 334, 542, 302, 16679, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 332, 458, 302, 4457, 1019, 19, 204, 264, 320, 204, 264, 4457, 68, 1309, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 4509, 68, 765, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 700, 289, 818, 13, 768, 13, 75, 7, 2101, 4457, 463, 78, 16, 22, 98, 700, 31, 4091, 204, 485, 4457, 68, 1309, 19, 1223, 13, 876, 14, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 542, 1280, 204, 264, 407, 4457, 68, 1309, 204, 204, 461, 1352, 68, 4509, 68, 6792, 13, 22445, 31, 458, 64, 996, 694, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 3325, 4457, 5453, 3119, 275, 379, 6074, 12, 1354, 353, 16136, 19, 204, 204, 264, 457, 31, 204, 268, 16679, 322, 655, 64, 996, 1037, 332, 458, 302, 4457, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 334, 2908, 458, 302, 4457, 1019, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 1354, 289, 537, 499, 2101, 1354, 322, 6074, 311, 3506, 17, 10923, 311, 3404, 17, 16348, 311, 6879, 330, 2810, 204, 268, 397, 1354, 564, 388, 6074, 559, 204, 305, 2280, 204, 268, 1677, 1354, 564, 388, 2418, 559, 204, 305, 314, 3736, 4457, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 302, 275, 4457, 311, 3404, 322, 22, 18, 6070, 330, 4091, 338, 368, 204, 895, 397, 1112, 962, 500, 521, 1112, 3721, 1245, 13, 22445, 330, 204, 2058, 456, 499, 1962, 1112, 19, 2982, 2064, 273, 1097, 1112, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 5050, 289, 818, 13, 768, 499, 2101, 275, 5050, 311, 3404, 322, 21, 18, 2051, 330, 4091, 204, 895, 397, 5050, 962, 500, 521, 5050, 1323, 1607, 31, 204, 2058, 456, 499, 1962, 5050, 19, 2982, 2064, 273, 700, 1283, 500, 329, 1607, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 542, 1280, 204, 305, 3299, 68, 5747, 289, 16679, 64, 998, 66, 204, 305, 16679, 64, 998, 66, 10744, 5050, 802, 1607, 204, 305, 16679, 19, 5021, 13, 998, 465, 368, 17, 3299, 68, 5747, 540, 322, 22, 338, 5050, 802, 1607, 602, 204, 268, 1677, 1354, 564, 388, 5303, 559, 204, 305, 314, 9761, 16679, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 302, 275, 4457, 311, 6879, 322, 22, 18, 6070, 330, 4091, 338, 368, 204, 895, 397, 1112, 962, 500, 521, 1112, 3721, 1245, 13, 22445, 14, 338, 368, 31, 204, 2058, 456, 499, 1962, 1112, 19, 2982, 2064, 273, 1097, 1112, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 305, 16679, 64, 998, 66, 1412, 16679, 64, 998, 465, 368, 66, 204, 305, 6924, 16679, 64, 998, 465, 368, 66, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 1354, 19, 2982, 2064, 273, 1097, 1354, 1280, 204, 264, 407, 16679, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 2548, 19, 204, 264, 320, 204, 264, 4457, 68, 765, 289, 636, 68, 4509, 68, 765, 374, 204, 264, 16679, 289, 636, 68, 4509, 68, 1309, 13, 4509, 68, 765, 14, 204, 264, 4050, 68, 22445, 289, 1352, 68, 4509, 68, 6792, 13, 22445, 14, 204, 264, 456, 499, 29624, 16679, 2180, 4050, 68, 22445, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 204, 204, 676, 6937, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 2510, 2192, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 679, 31, 421, 17, 1824, 31, 379, 10753, 12, 289, 443, 17, 1629, 31, 379, 10753, 12, 289, 443, 330, 204, 268, 370, 19, 577, 289, 679, 204, 268, 370, 19, 1735, 289, 1824, 204, 268, 370, 19, 1633, 289, 1629, 204, 204, 461, 949, 68, 28035, 68, 1303, 13, 2125, 31, 6937, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1066, 302, 273, 11309, 28651, 630, 275, 800, 944, 19, 204, 204, 264, 457, 31, 204, 264, 1610, 31, 334, 1610, 302, 275, 11309, 19, 204, 204, 264, 475, 31, 204, 264, 334, 1066, 302, 275, 11309, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 437, 1392, 2192, 869, 273, 1066, 302, 500, 204, 264, 397, 1610, 353, 443, 31, 204, 268, 407, 500, 204, 615, 264, 314, 18302, 1322, 31, 1066, 302, 275, 790, 944, 329, 1163, 20457, 204, 264, 407, 1610, 19, 577, 465, 949, 68, 28035, 68, 1303, 13, 2125, 19, 1735, 14, 465, 949, 68, 28035, 68, 1303, 13, 2125, 19, 1633, 14, 204, 204, 461, 949, 68, 3150, 68, 1303, 68, 7728, 13, 2125, 31, 6937, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1066, 302, 4923, 6108, 1283, 275, 8598, 302, 1824, 329, 1629, 20457, 348, 848, 944, 19, 204, 204, 264, 457, 31, 204, 264, 1610, 31, 334, 1610, 302, 275, 2510, 2192, 19, 204, 204, 264, 475, 31, 204, 264, 334, 1066, 302, 4923, 6108, 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, 977, 273, 955, 311, 1640, 275, 8598, 302, 20457, 204, 264, 11309, 68, 10089, 31, 1061, 64, 10753, 17, 421, 66, 289, 2087, 204, 615, 264, 314, 977, 275, 1066, 302, 4923, 6108, 204, 264, 1066, 68, 522, 68, 17250, 31, 421, 289, 500, 204, 615, 264, 314, 968, 273, 12325, 741, 311, 949, 275, 1066, 302, 273, 11309, 329, 1395, 275, 1066, 302, 6108, 204, 264, 436, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 31, 6937, 14, 393, 421, 31, 204, 268, 37023, 1066, 68, 522, 68, 17250, 204, 822, 268, 314, 3301, 1322, 31, 437, 1392, 2192, 869, 273, 1066, 302, 500, 204, 268, 397, 944, 353, 443, 31, 204, 305, 407, 500, 204, 822, 268, 314, 828, 275, 11309, 1066, 353, 2861, 3392, 17, 407, 490, 204, 268, 397, 944, 292, 11309, 68, 10089, 31, 204, 305, 407, 11309, 68, 10089, 64, 1241, 66, 204, 822, 268, 314, 888, 275, 1066, 302, 275, 790, 944, 677, 11309, 204, 268, 11309, 68, 1303, 31, 421, 289, 944, 19, 577, 465, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 19, 1735, 14, 465, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 19, 1633, 14, 204, 822, 268, 314, 6993, 275, 1066, 302, 275, 790, 944, 677, 11309, 204, 268, 11309, 68, 10089, 64, 1241, 66, 289, 11309, 68, 1303, 204, 822, 268, 314, 1716, 275, 1066, 302, 4923, 6108, 204, 268, 1066, 68, 522, 68, 17250, 1412, 7041, 13, 28035, 68, 10089, 19, 505, 13, 1241, 19, 1735, 17, 500, 14, 338, 11309, 68, 10089, 19, 505, 13, 1241, 19, 1633, 17, 500, 602, 204, 822, 268, 407, 11309, 68, 1303, 204, 615, 264, 314, 888, 275, 1066, 302, 275, 2192, 329, 1395, 275, 1066, 302, 6108, 204, 264, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 2125, 14, 204, 615, 264, 407, 1066, 68, 522, 68, 17250, 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, 314, 8023, 368, 204, 264, 314, 6288, 802, 688, 204, 264, 314, 263, 435, 262, 571, 204, 264, 314, 264, 802, 688, 262, 688, 204, 264, 314, 262, 681, 262, 720, 262, 887, 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, 1633, 289, 6937, 13, 27, 14, 204, 615, 264, 314, 888, 275, 1066, 302, 4923, 6108, 204, 264, 1066, 68, 522, 68, 17250, 289, 949, 68, 3150, 68, 1303, 68, 7728, 13, 2125, 14, 204, 264, 456, 499, 7279, 302, 4923, 6108, 2180, 1066, 68, 522, 68, 17250, 14, 204, 0, 676, 10538, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 679, 31, 421, 330, 204, 268, 320, 17666, 273, 10538, 440, 273, 800, 700, 19, 204, 204, 268, 457, 31, 204, 268, 679, 322, 339, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 577, 289, 679, 204, 268, 370, 19, 2715, 289, 443, 204, 204, 461, 8370, 68, 655, 13, 1885, 31, 10538, 17, 610, 31, 421, 14, 393, 10538, 31, 204, 264, 320, 204, 264, 5565, 4459, 273, 4201, 458, 3332, 273, 800, 700, 610, 19, 204, 204, 264, 1058, 741, 20378, 2690, 275, 4201, 458, 1702, 496, 830, 2731, 440, 1019, 2202, 1194, 610, 3891, 2518, 830, 2731, 440, 1019, 3114, 1194, 521, 1936, 311, 610, 19, 204, 204, 264, 457, 31, 204, 264, 1526, 322, 21463, 330, 334, 1526, 302, 275, 4201, 458, 19, 204, 264, 610, 322, 339, 330, 334, 700, 311, 8370, 3332, 19, 204, 204, 264, 475, 31, 204, 264, 10538, 31, 334, 1526, 302, 275, 31669, 4201, 458, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 1322, 1273, 275, 537, 4201, 458, 353, 443, 204, 264, 397, 508, 1526, 31, 204, 268, 407, 443, 204, 204, 264, 314, 977, 275, 11879, 329, 24845, 302, 275, 970, 3330, 204, 264, 2202, 68, 13798, 68, 1885, 289, 443, 204, 264, 2202, 68, 13798, 68, 3809, 289, 443, 204, 264, 3114, 68, 13798, 68, 1885, 289, 443, 204, 264, 3114, 68, 13798, 68, 3809, 289, 443, 204, 204, 264, 314, 16165, 275, 4201, 458, 204, 264, 790, 68, 1241, 289, 1526, 204, 264, 1335, 790, 68, 1241, 31, 204, 268, 314, 6993, 275, 1682, 944, 2518, 9683, 275, 790, 944, 677, 1682, 9311, 204, 268, 1682, 68, 1241, 289, 790, 68, 1241, 19, 2715, 204, 204, 268, 314, 1255, 275, 790, 944, 311, 275, 2202, 1194, 458, 397, 1163, 700, 353, 2202, 1194, 610, 204, 268, 397, 790, 68, 1241, 19, 577, 962, 610, 31, 204, 305, 314, 1716, 275, 2202, 1194, 458, 204, 305, 397, 508, 2202, 68, 13798, 68, 1885, 31, 204, 485, 2202, 68, 13798, 68, 1885, 289, 790, 68, 1241, 204, 485, 2202, 68, 13798, 68, 3809, 289, 2202, 68, 13798, 68, 1885, 204, 305, 902, 31, 204, 485, 2202, 68, 13798, 68, 3809, 19, 2715, 289, 790, 68, 1241, 204, 485, 2202, 68, 13798, 68, 3809, 289, 790, 68, 1241, 204, 268, 314, 1255, 275, 790, 944, 311, 275, 3114, 1194, 458, 397, 1163, 700, 353, 3114, 1194, 521, 1936, 311, 610, 204, 268, 902, 31, 204, 305, 314, 1716, 275, 3114, 1194, 458, 204, 305, 397, 508, 3114, 68, 13798, 68, 1885, 31, 204, 485, 3114, 68, 13798, 68, 1885, 289, 790, 68, 1241, 204, 485, 3114, 68, 13798, 68, 3809, 289, 3114, 68, 13798, 68, 1885, 204, 305, 902, 31, 204, 485, 3114, 68, 13798, 68, 3809, 19, 2715, 289, 790, 68, 1241, 204, 485, 3114, 68, 13798, 68, 3809, 289, 790, 68, 1241, 204, 204, 268, 314, 5360, 311, 275, 1682, 944, 204, 268, 790, 68, 1241, 289, 1682, 68, 1241, 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, 314, 1716, 275, 1682, 13857, 311, 2601, 275, 970, 3330, 204, 264, 397, 2202, 68, 13798, 68, 3809, 31, 204, 268, 2202, 68, 13798, 68, 3809, 19, 2715, 289, 3114, 68, 13798, 68, 1885, 204, 264, 397, 3114, 68, 13798, 68, 3809, 31, 204, 268, 3114, 68, 13798, 68, 3809, 19, 2715, 289, 443, 204, 204, 264, 314, 455, 275, 1526, 302, 275, 31669, 458, 204, 264, 407, 2202, 68, 13798, 68, 1885, 397, 2202, 68, 13798, 68, 1885, 902, 3114, 68, 13798, 68, 1885, 204, 204, 461, 456, 68, 655, 13, 1885, 31, 10538, 14, 393, 443, 31, 204, 264, 320, 27145, 275, 1019, 292, 273, 4201, 458, 19, 204, 204, 264, 457, 31, 204, 264, 1526, 322, 21463, 330, 334, 1526, 302, 275, 4201, 458, 19, 204, 264, 320, 204, 264, 790, 68, 1241, 289, 1526, 204, 264, 1335, 790, 68, 1241, 31, 204, 268, 456, 13, 1976, 68, 1241, 19, 577, 17, 1136, 1022, 2810, 204, 268, 790, 68, 1241, 289, 790, 68, 1241, 19, 2715, 204, 264, 456, 374, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 4201, 458, 31, 368, 393, 681, 393, 571, 393, 435, 393, 720, 393, 435, 204, 264, 1526, 289, 10538, 13, 22, 14, 204, 264, 1526, 19, 2715, 289, 10538, 13, 25, 14, 204, 264, 1526, 19, 2715, 19, 2715, 289, 10538, 13, 24, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 23, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 26, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 23, 14, 204, 204, 264, 456, 499, 9562, 783, 2212, 204, 264, 456, 68, 655, 13, 1885, 14, 204, 204, 264, 314, 25894, 275, 4201, 458, 3332, 610, 289, 571, 204, 264, 31669, 68, 1885, 289, 8370, 68, 655, 13, 1885, 17, 571, 14, 204, 204, 264, 456, 499, 35467, 336, 783, 2212, 204, 264, 456, 68, 655, 13, 13435, 336, 68, 1885, 14, 204, 0, 647, 2454, 204, 531, 2802, 18945, 1972, 532, 30520, 204, 204, 676, 25903, 31, 204, 264, 320, 204, 264, 2646, 273, 8158, 726, 292, 275, 1470, 19, 204, 204, 264, 1532, 31, 204, 268, 752, 322, 22156, 19, 3873, 330, 334, 8158, 752, 19, 204, 268, 13945, 322, 22156, 19, 26786, 330, 334, 8158, 13945, 19, 204, 268, 3581, 322, 339, 330, 334, 3581, 302, 275, 8158, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1419, 68, 93, 31, 421, 17, 1419, 68, 94, 31, 421, 17, 752, 68, 546, 31, 394, 17, 3581, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 25903, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1419, 68, 93, 322, 339, 330, 334, 1419, 610, 18, 3936, 302, 275, 8158, 19, 204, 305, 1419, 68, 94, 322, 339, 330, 334, 1419, 469, 18, 3936, 302, 275, 8158, 19, 204, 305, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 8158, 752, 510, 19, 204, 305, 3581, 322, 339, 330, 334, 3581, 302, 275, 8158, 19, 204, 204, 268, 1632, 31, 204, 305, 1319, 31, 828, 275, 752, 510, 2950, 444, 3271, 19, 204, 268, 320, 204, 268, 370, 19, 935, 289, 30520, 19, 3873, 374, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1137, 275, 8158, 752, 497, 275, 800, 832, 204, 305, 370, 19, 935, 19, 16198, 7374, 2597, 13, 935, 68, 546, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 275, 2710, 329, 456, 437, 908, 943, 204, 305, 456, 13, 75, 7, 596, 4644, 752, 31, 463, 74, 743, 204, 305, 2454, 19, 4555, 13, 22, 14, 226, 314, 14221, 275, 2548, 440, 273, 1950, 18, 5306, 1714, 1576, 204, 268, 370, 19, 13705, 289, 30520, 19, 26786, 13, 327, 19, 935, 14, 204, 268, 370, 19, 13705, 19, 3029, 13819, 13, 3474, 68, 93, 17, 1419, 68, 94, 14, 204, 268, 370, 19, 7182, 289, 3581, 204, 204, 264, 436, 1395, 13, 327, 17, 537, 21911, 30520, 19, 3383, 17, 6189, 68, 834, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 8158, 677, 1502, 1609, 523, 575, 537, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 322, 22156, 19, 3383, 330, 334, 790, 537, 1259, 19, 204, 305, 6189, 68, 834, 322, 996, 330, 334, 690, 13179, 3522, 275, 1673, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1824, 16561, 896, 353, 15556, 204, 268, 397, 537, 18726, 4947, 2683, 8011, 13, 22156, 19, 2683, 19, 19584, 330, 204, 305, 314, 5360, 275, 8158, 311, 275, 1824, 204, 305, 370, 19, 13705, 19, 16067, 2422, 327, 19, 7182, 540, 6189, 68, 834, 17, 500, 14, 204, 204, 268, 314, 778, 397, 275, 1629, 16561, 896, 353, 15556, 204, 268, 397, 537, 18726, 4947, 2683, 8011, 13, 22156, 19, 2683, 19, 14004, 330, 204, 305, 314, 5360, 275, 8158, 311, 275, 1629, 204, 305, 370, 19, 13705, 19, 16067, 13, 327, 19, 7182, 540, 6189, 68, 834, 17, 500, 14, 204, 204, 264, 436, 2790, 13, 327, 17, 2158, 31, 30520, 19, 16175, 5114, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 8158, 523, 275, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 2158, 322, 22156, 19, 16175, 5114, 330, 334, 2158, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 314, 4456, 275, 8158, 13945, 523, 275, 2158, 204, 268, 2158, 19, 11546, 13, 327, 19, 13705, 14, 204, 204, 204, 676, 5180, 31, 204, 264, 320, 204, 264, 2646, 275, 1470, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 2158, 322, 22156, 19, 16175, 5114, 330, 334, 1470, 2158, 19, 204, 268, 8158, 322, 32708, 330, 334, 8158, 726, 19, 204, 268, 6988, 322, 22156, 19, 16271, 330, 334, 1470, 6988, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2198, 31, 421, 17, 1853, 31, 421, 17, 1724, 31, 394, 14, 393, 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, 268, 320, 204, 268, 1865, 273, 717, 5180, 726, 19, 204, 204, 268, 457, 31, 204, 305, 2198, 322, 339, 330, 334, 2198, 302, 275, 1470, 2158, 19, 204, 305, 1853, 322, 339, 330, 334, 1853, 302, 275, 1470, 2158, 19, 204, 305, 1724, 322, 325, 330, 334, 1724, 302, 275, 1470, 2158, 19, 204, 268, 320, 204, 268, 370, 19, 2997, 289, 30520, 19, 16175, 5114, 13, 22156, 19, 9501, 11176, 13, 2435, 17, 1853, 659, 1724, 14, 204, 268, 370, 19, 2997, 19, 3029, 18464, 28976, 21495, 13, 2682, 14, 226, 314, 1359, 275, 2023, 2233, 2689, 311, 3382, 29085, 204, 268, 370, 19, 6265, 289, 25903, 13, 22556, 17, 5953, 17, 388, 6265, 19, 4955, 528, 1607, 14, 226, 314, 666, 273, 717, 8158, 726, 204, 268, 370, 19, 10827, 289, 30520, 19, 16271, 374, 226, 314, 666, 273, 717, 1470, 6988, 204, 204, 264, 436, 2906, 68, 6316, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 1470, 3780, 19, 204, 268, 320, 204, 268, 314, 763, 275, 3780, 497, 275, 2158, 204, 268, 348, 1643, 292, 370, 19, 2997, 19, 5136, 26210, 1293, 204, 305, 314, 778, 397, 275, 2158, 353, 7106, 204, 305, 397, 1643, 19, 2191, 564, 30520, 19, 5653, 19, 38208, 31, 204, 485, 314, 14221, 275, 1470, 3546, 204, 485, 407, 1078, 204, 268, 407, 959, 204, 204, 264, 436, 1395, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 1470, 1259, 19, 204, 268, 320, 204, 268, 314, 763, 275, 790, 537, 1259, 204, 268, 537, 68, 289, 370, 19, 2997, 19, 5136, 3383, 374, 204, 268, 314, 763, 275, 690, 13179, 3522, 275, 1673, 1395, 204, 268, 6189, 68, 834, 289, 370, 19, 10827, 19, 5136, 42, 9082, 3103, 1528, 6821, 204, 268, 314, 45148, 275, 6988, 204, 268, 370, 19, 10827, 19, 17495, 514, 374, 204, 268, 314, 1716, 275, 8158, 1502, 204, 268, 370, 19, 6265, 19, 2045, 13, 768, 14596, 6189, 68, 834, 14, 204, 204, 264, 436, 2790, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 1470, 8328, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 2158, 204, 268, 370, 19, 2997, 19, 26956, 374, 204, 268, 314, 4456, 275, 8158, 204, 268, 370, 19, 6265, 19, 3320, 13, 327, 19, 2997, 14, 204, 268, 314, 3740, 275, 2158, 204, 268, 370, 19, 2997, 19, 14864, 374, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1470, 3546, 19, 204, 268, 320, 204, 268, 314, 5180, 3546, 204, 268, 1335, 959, 31, 204, 305, 314, 1426, 3780, 204, 305, 397, 508, 370, 19, 4103, 68, 6316, 1293, 204, 485, 2280, 204, 305, 314, 1716, 275, 1470, 1259, 204, 305, 370, 19, 2045, 374, 204, 305, 314, 4456, 275, 1470, 8328, 204, 305, 370, 19, 3320, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 1650, 19, 204, 264, 320, 204, 264, 1470, 289, 5180, 13, 24983, 17, 20509, 17, 388, 42, 79, 2779, 342, 42430, 431, 204, 264, 1470, 19, 1777, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 949, 68, 19105, 68, 10089, 13, 1630, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 8046, 8598, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 8046, 8598, 19, 204, 264, 320, 204, 264, 314, 977, 275, 8046, 8598, 458, 440, 275, 1043, 1103, 302, 886, 204, 264, 8046, 68, 10089, 289, 551, 21, 66, 540, 322, 1796, 13, 1630, 14, 465, 368, 14, 204, 264, 314, 888, 275, 8046, 8598, 974, 273, 348, 3546, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 314, 334, 8046, 1066, 630, 1112, 296, 16, 22, 353, 275, 1066, 302, 275, 3090, 8046, 1066, 329, 275, 790, 542, 204, 268, 8046, 68, 10089, 64, 78, 465, 368, 66, 289, 8046, 68, 10089, 64, 78, 66, 465, 886, 64, 78, 66, 204, 264, 407, 8046, 68, 10089, 204, 204, 204, 461, 949, 68, 6452, 13, 19105, 68, 10089, 31, 458, 64, 339, 648, 2158, 68, 835, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 2073, 560, 17020, 275, 6108, 1283, 8046, 8598, 19, 204, 204, 264, 457, 31, 204, 268, 8046, 68, 10089, 31, 332, 458, 302, 8046, 8598, 19, 204, 268, 2158, 68, 835, 31, 334, 1302, 302, 275, 2158, 19, 204, 204, 264, 475, 31, 204, 268, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 977, 275, 2073, 1554, 311, 500, 204, 264, 2073, 289, 500, 204, 264, 314, 1861, 1048, 275, 8046, 8598, 458, 440, 273, 21277, 2158, 302, 1302, 2158, 68, 835, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 19105, 68, 10089, 14, 338, 2158, 68, 835, 330, 204, 268, 314, 334, 2712, 1283, 275, 8046, 1066, 630, 1112, 296, 16, 2997, 68, 835, 329, 275, 8046, 1066, 630, 1112, 296, 204, 268, 314, 4504, 275, 1066, 302, 275, 886, 292, 275, 790, 2158, 204, 268, 2073, 1412, 8046, 68, 10089, 64, 78, 465, 2158, 68, 835, 66, 338, 8046, 68, 10089, 64, 78, 66, 204, 264, 407, 2073, 204, 204, 204, 461, 636, 68, 768, 374, 393, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 275, 537, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 542, 302, 1842, 17, 275, 2158, 1302, 17, 329, 275, 458, 302, 886, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 542, 302, 1842, 329, 275, 2158, 1302, 497, 275, 575, 204, 268, 771, 68, 3337, 17, 2158, 68, 835, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 268, 314, 763, 275, 458, 302, 886, 497, 275, 575, 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, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 204, 268, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 1277, 302, 275, 458, 204, 268, 397, 1245, 13, 1630, 14, 2167, 771, 68, 3337, 31, 204, 305, 980, 987, 499, 1962, 537, 431, 204, 268, 407, 771, 68, 3337, 17, 2158, 68, 835, 17, 886, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 268, 407, 443, 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, 275, 537, 497, 275, 575, 204, 264, 537, 68, 481, 289, 636, 68, 768, 374, 204, 264, 397, 537, 68, 481, 353, 443, 31, 204, 268, 407, 204, 264, 771, 68, 3337, 17, 2158, 68, 835, 17, 886, 289, 537, 68, 481, 204, 264, 314, 888, 275, 8046, 8598, 204, 264, 8046, 68, 10089, 289, 949, 68, 19105, 68, 10089, 13, 1630, 14, 204, 264, 314, 888, 275, 2073, 204, 264, 2073, 289, 949, 68, 6452, 13, 19105, 68, 10089, 17, 2158, 68, 835, 14, 204, 264, 314, 1198, 275, 2073, 204, 264, 456, 13, 6452, 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, 30295, 532, 32958, 204, 531, 1498, 532, 783, 204, 531, 3238, 532, 15211, 204, 531, 7135, 68, 5614, 270, 19, 1087, 532, 32926, 68, 13538, 204, 531, 7135, 68, 5614, 270, 19, 9315, 19, 5433, 532, 11578, 204, 531, 7135, 68, 5614, 270, 19, 1031, 68, 27627, 532, 6109, 26919, 204, 204, 676, 10541, 13, 8048, 330, 204, 264, 320, 204, 264, 9715, 5539, 329, 37352, 299, 302, 5644, 302, 16086, 497, 275, 12770, 3594, 13292, 13327, 19, 204, 204, 264, 1532, 31, 204, 268, 1187, 68, 417, 322, 325, 330, 334, 1187, 588, 302, 275, 3966, 19, 204, 268, 16086, 68, 633, 68, 1616, 322, 1218, 330, 332, 458, 302, 16086, 311, 1352, 19, 204, 268, 2523, 68, 5053, 322, 15392, 330, 334, 2311, 2523, 3442, 348, 16086, 19, 204, 268, 353, 68, 15581, 68, 3607, 322, 2107, 330, 332, 5168, 5850, 3855, 13052, 2291, 353, 8905, 19, 204, 268, 8143, 68, 1915, 322, 1218, 330, 332, 458, 302, 8143, 1981, 4192, 19, 204, 268, 7943, 68, 417, 68, 27627, 322, 4269, 26919, 330, 332, 782, 24597, 348, 26199, 1981, 1987, 19, 204, 268, 588, 68, 27627, 322, 4269, 26919, 330, 332, 782, 24597, 348, 1981, 1987, 19, 204, 264, 320, 204, 204, 264, 1187, 68, 417, 289, 388, 2923, 7, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 1865, 275, 10541, 3966, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 31, 7618, 1906, 19, 204, 305, 930, 2251, 31, 14839, 1906, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 1306, 204, 268, 370, 19, 438, 68, 5053, 289, 443, 204, 268, 370, 19, 360, 68, 15581, 68, 3607, 289, 1078, 204, 268, 370, 19, 16677, 68, 1915, 289, 1306, 204, 268, 370, 19, 12349, 68, 417, 68, 27627, 289, 6109, 26919, 13, 1975, 14, 204, 268, 370, 19, 417, 68, 27627, 289, 6109, 26919, 13, 1021, 14, 204, 204, 264, 436, 4080, 13, 327, 17, 954, 31, 15211, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19795, 275, 1981, 3966, 440, 275, 800, 1586, 19, 204, 204, 268, 457, 31, 204, 305, 954, 322, 6261, 330, 334, 1586, 726, 19, 204, 268, 320, 204, 268, 2234, 1528, 4216, 13, 1087, 14, 204, 268, 954, 19, 826, 68, 2389, 7783, 417, 528, 7031, 83, 528, 1340, 1022, 32309, 311, 2216, 275, 588, 302, 275, 16086, 431, 204, 268, 954, 19, 826, 68, 2389, 7783, 12349, 18, 417, 528, 7031, 88, 528, 2984, 1022, 12349, 68, 417, 528, 1340, 1022, 32309, 311, 2216, 348, 16086, 311, 8809, 431, 204, 268, 954, 19, 826, 68, 2389, 7783, 438, 528, 7031, 70, 528, 1340, 1022, 14543, 2523, 322, 22, 73, 17, 435, 92, 17, 887, 82, 17, 368, 94, 12008, 204, 204, 264, 436, 1352, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11244, 275, 458, 302, 16086, 329, 6332, 1475, 311, 2081, 685, 928, 6399, 29652, 311, 6327, 444, 8143, 19, 204, 268, 320, 204, 268, 314, 6579, 16086, 497, 275, 3594, 13292, 4584, 204, 268, 370, 806, 6291, 68, 14643, 374, 204, 822, 268, 314, 4863, 16086, 560, 2523, 329, 588, 204, 268, 370, 806, 2741, 68, 14643, 68, 1424, 68, 438, 374, 204, 268, 370, 806, 2741, 68, 14643, 68, 1424, 68, 417, 374, 204, 822, 268, 314, 2175, 275, 4017, 16086, 204, 268, 370, 806, 761, 68, 14643, 374, 204, 204, 264, 436, 906, 6291, 68, 14643, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11244, 275, 458, 302, 16086, 497, 275, 3594, 13292, 4584, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1727, 311, 275, 3594, 13292, 4584, 204, 268, 5828, 289, 370, 806, 505, 68, 6519, 374, 204, 822, 268, 314, 6579, 275, 458, 302, 16086, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 5828, 19, 655, 68, 14643, 374, 204, 204, 264, 436, 906, 2741, 68, 14643, 68, 1424, 68, 438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18403, 685, 16086, 496, 529, 4440, 6695, 1609, 523, 275, 2523, 3442, 19, 204, 268, 320, 204, 268, 397, 370, 19, 438, 68, 5053, 353, 508, 443, 31, 204, 305, 314, 4863, 16086, 560, 2523, 204, 305, 370, 19, 14643, 68, 633, 68, 1616, 289, 551, 2923, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 397, 370, 806, 360, 68, 2923, 68, 929, 68, 278, 2460, 13, 2923, 2395, 204, 204, 264, 436, 906, 2741, 68, 14643, 68, 1424, 68, 417, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18403, 685, 16086, 496, 770, 508, 2216, 275, 588, 2679, 19, 204, 268, 320, 204, 268, 314, 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, 4863, 16086, 560, 588, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 551, 2923, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 397, 370, 806, 26933, 68, 2923, 68, 4054, 68, 417, 13, 2923, 2395, 204, 204, 264, 436, 906, 761, 68, 14643, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15616, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 2175, 275, 542, 302, 4017, 16086, 204, 268, 370, 806, 1087, 19, 1270, 13, 75, 7, 2835, 463, 1796, 13, 327, 19, 14643, 68, 633, 68, 1616, 4150, 16086, 431, 204, 204, 264, 436, 906, 360, 68, 2923, 68, 929, 68, 278, 2460, 13, 327, 17, 1981, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 1981, 353, 3299, 5256, 1609, 523, 275, 2523, 3442, 19, 204, 204, 268, 457, 31, 204, 305, 1981, 31, 334, 1981, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 959, 397, 275, 1981, 353, 3299, 5256, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 17434, 68, 269, 1489, 204, 268, 1561, 68, 438, 289, 1804, 19, 12903, 13, 2923, 19, 351, 15777, 68, 269, 17, 32926, 68, 13538, 14, 204, 268, 1561, 68, 438, 289, 1561, 68, 438, 19, 3834, 13, 42264, 34, 11811, 14, 204, 822, 268, 314, 778, 397, 275, 1981, 353, 3299, 5256, 204, 268, 407, 370, 806, 1520, 1323, 322, 4038, 68, 438, 465, 370, 19, 438, 68, 5053, 14, 204, 204, 264, 436, 906, 26933, 68, 2923, 68, 4054, 68, 417, 13, 327, 17, 1981, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 1981, 4083, 275, 588, 2679, 19, 204, 204, 268, 457, 31, 204, 305, 1981, 31, 334, 1981, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 959, 397, 275, 1981, 4083, 275, 588, 2679, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1981, 588, 4083, 275, 2679, 204, 268, 407, 508, 370, 19, 12349, 68, 417, 68, 27627, 19, 4054, 13, 2923, 19, 417, 14, 329, 370, 19, 417, 68, 27627, 19, 4054, 13, 2923, 19, 417, 14, 204, 204, 264, 436, 3106, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1727, 311, 275, 3594, 13292, 4584, 204, 268, 5828, 289, 370, 806, 505, 68, 6519, 374, 204, 822, 268, 314, 6117, 275, 4017, 16086, 204, 268, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 31, 204, 305, 5828, 19, 2756, 68, 2923, 13, 2923, 19, 359, 14, 204, 305, 370, 19, 16677, 68, 1915, 19, 1223, 13, 2923, 19, 359, 14, 204, 305, 456, 13, 75, 7, 34453, 463, 2923, 19, 417, 743, 204, 204, 264, 436, 2566, 68, 17630, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10863, 10473, 15119, 311, 275, 12601, 302, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 461, 2252, 68, 438, 68, 5053, 13, 438, 68, 325, 31, 394, 14, 393, 8351, 31, 204, 264, 320, 204, 264, 9246, 275, 2523, 3442, 497, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 2523, 68, 325, 322, 325, 330, 334, 2523, 3442, 782, 322, 74, 19, 76, 2458, 368, 73, 17, 435, 92, 17, 887, 82, 17, 368, 94, 789, 204, 204, 264, 475, 31, 204, 268, 8351, 31, 334, 3634, 2523, 3442, 19, 204, 264, 320, 204, 264, 314, 2735, 275, 2523, 3442, 204, 264, 397, 2523, 68, 325, 19, 9641, 499, 73, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 4513, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 92, 6471, 204, 268, 407, 8351, 13, 32653, 34, 339, 13, 438, 68, 325, 9128, 22, 4513, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 82, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 694, 540, 2468, 14, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 94, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 694, 540, 21123, 14, 204, 264, 902, 31, 204, 268, 980, 987, 499, 1962, 2523, 3442, 1883, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 10541, 3966, 204, 264, 1981, 289, 10541, 374, 204, 615, 264, 314, 6676, 275, 1981, 3966, 204, 264, 1732, 289, 15211, 374, 204, 264, 1981, 19, 4216, 13, 3766, 14, 204, 615, 264, 314, 2735, 275, 1906, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 615, 264, 314, 1359, 275, 2523, 3442, 204, 264, 397, 2042, 19, 438, 31, 204, 268, 1981, 19, 438, 68, 5053, 289, 2252, 68, 438, 68, 5053, 13, 1038, 19, 438, 14, 204, 615, 264, 314, 1359, 275, 588, 24597, 204, 264, 397, 2042, 19, 417, 31, 204, 268, 1981, 19, 417, 68, 27627, 289, 6109, 26919, 13, 1038, 19, 417, 14, 204, 615, 264, 314, 1359, 275, 7943, 588, 24597, 204, 264, 397, 2042, 19, 12349, 68, 417, 31, 204, 268, 1981, 19, 12349, 68, 417, 68, 27627, 289, 6109, 26919, 13, 1038, 19, 12349, 68, 417, 14, 204, 615, 264, 314, 3325, 275, 16086, 204, 264, 1981, 19, 1616, 374, 204, 615, 264, 314, 8414, 275, 16086, 204, 264, 1981, 19, 5614, 374, 204, 615, 264, 314, 2878, 15119, 204, 264, 1981, 19, 3345, 68, 17630, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 6431, 275, 1019, 302, 724, 754, 496, 275, 1864, 302, 275, 3302, 440, 5855, 322, 80, 465, 368, 17, 368, 659, 322, 25, 17, 338, 24, 14, 329, 322, 28, 17, 338, 80, 14, 353, 887, 5223, 19, 4099, 19, 204, 204, 1449, 1020, 275, 1864, 302, 275, 3302, 17, 572, 732, 275, 2089, 31, 204, 38, 289, 368, 20, 23, 551, 93, 22, 13, 94, 23, 338, 469, 24, 14, 465, 610, 23, 13, 94, 24, 338, 469, 22, 14, 465, 610, 24, 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, 94, 22, 338, 469, 23, 2395, 204, 204, 4377, 5855, 31, 332, 13, 80, 465, 368, 17, 368, 659, 565, 13, 25, 17, 338, 24, 659, 329, 346, 13, 28, 17, 338, 80, 14, 204, 204, 8758, 275, 1019, 1025, 275, 2089, 31, 204, 27, 289, 368, 20, 23, 6229, 80, 465, 368, 20143, 24, 465, 724, 14, 465, 681, 2422, 80, 338, 368, 14, 465, 1168, 13, 22, 465, 571, 2395, 204, 204, 10714, 275, 1581, 31, 204, 1258, 289, 322, 80, 465, 368, 20143, 24, 465, 724, 14, 465, 681, 2422, 80, 338, 368, 14, 465, 1168, 13, 22, 465, 571, 14, 204, 1258, 289, 322, 80, 465, 368, 3085, 80, 338, 571, 14, 338, 681, 80, 338, 681, 465, 4662, 204, 1258, 289, 724, 67, 23, 338, 571, 80, 465, 724, 338, 571, 338, 681, 80, 338, 681, 465, 4662, 204, 1258, 289, 724, 67, 23, 338, 887, 80, 465, 4839, 204, 204, 18672, 275, 1581, 31, 204, 80, 67, 23, 338, 887, 80, 465, 4839, 338, 1598, 289, 500, 204, 80, 67, 23, 338, 887, 80, 465, 1233, 289, 500, 204, 204, 30142, 275, 6884, 1581, 31, 204, 13, 80, 338, 571, 2246, 23, 289, 500, 204, 204, 11471, 348, 724, 31, 204, 80, 289, 571, 204, 204, 4356, 17, 275, 700, 302, 724, 353, 571, 19, 0, 676, 7837, 24660, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 1792, 3003, 302, 3595, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 4016, 1164, 394, 204, 268, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 264, 7929, 1164, 394, 204, 268, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4016, 31, 394, 289, 8897, 7929, 31, 394, 289, 35152, 204, 268, 320, 204, 268, 1865, 275, 7837, 24660, 440, 273, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 4016, 322, 325, 330, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 320, 204, 268, 370, 19, 4830, 289, 4016, 204, 268, 370, 19, 10301, 289, 7929, 204, 204, 264, 436, 456, 68, 1454, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 275, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 943, 440, 275, 4016, 329, 7929, 204, 268, 456, 13, 75, 1954, 327, 19, 4830, 1134, 1454, 1134, 327, 19, 10301, 743, 204, 204, 264, 436, 456, 68, 2207, 68, 1454, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 379, 2207, 12, 448, 275, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 7837, 24660, 440, 379, 2207, 12, 448, 275, 7929, 204, 268, 1627, 68, 28108, 289, 7837, 24660, 13, 10301, 1022, 1627, 431, 204, 268, 314, 1198, 275, 943, 440, 275, 7929, 204, 268, 1627, 68, 28108, 19, 2102, 68, 1454, 13, 1454, 14, 204, 204, 264, 436, 456, 68, 15166, 68, 1454, 13, 327, 17, 943, 31, 394, 17, 4016, 31, 394, 289, 8897, 7929, 31, 394, 289, 11070, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 275, 1713, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 4016, 322, 325, 330, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 320, 204, 268, 314, 666, 273, 717, 7837, 24660, 440, 275, 1713, 4016, 329, 7929, 204, 268, 6585, 68, 28108, 289, 7837, 24660, 13, 4830, 17, 7929, 14, 204, 268, 314, 1198, 275, 943, 440, 275, 4016, 329, 7929, 204, 268, 6585, 68, 28108, 19, 2102, 68, 1454, 13, 1454, 14, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 273, 7837, 24660, 204, 264, 19439, 289, 7837, 24660, 374, 204, 264, 314, 1198, 273, 943, 204, 264, 19439, 19, 2102, 68, 1454, 499, 5975, 17, 5179, 5397, 204, 264, 314, 1198, 273, 1627, 943, 204, 264, 19439, 19, 2102, 68, 2207, 68, 1454, 499, 24353, 68, 276, 68, 39246, 431, 204, 264, 314, 1198, 273, 6585, 943, 204, 264, 19439, 19, 2102, 68, 15166, 68, 1454, 499, 5975, 17, 5179, 14876, 388, 32739, 31, 6277, 388, 338, 35364, 1077, 431, 204, 0, 531, 5920, 532, 7664, 204, 204, 676, 5696, 31, 204, 264, 436, 1356, 68, 266, 6762, 13, 327, 17, 297, 22, 31, 394, 17, 297, 23, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 297, 22, 353, 273, 9266, 302, 273, 6479, 292, 297, 23, 19, 204, 204, 268, 457, 31, 204, 305, 297, 22, 322, 325, 330, 334, 782, 311, 1356, 19, 204, 305, 297, 23, 322, 325, 330, 334, 782, 311, 1813, 292, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 297, 22, 353, 273, 9266, 302, 273, 6479, 292, 297, 23, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 4260, 302, 275, 3157, 353, 1392, 204, 268, 397, 508, 297, 22, 521, 508, 297, 23, 31, 204, 305, 407, 1078, 204, 204, 268, 314, 666, 273, 4328, 348, 275, 2724, 292, 297, 22, 204, 268, 297, 22, 68, 765, 289, 7664, 13, 88, 22, 14, 204, 268, 2158, 68, 1530, 289, 500, 204, 268, 12390, 289, 500, 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, 314, 1861, 1048, 275, 2724, 292, 297, 23, 204, 268, 348, 2158, 68, 409, 292, 933, 13, 1796, 13, 88, 23, 4019, 204, 305, 314, 828, 275, 790, 1943, 353, 292, 297, 22, 17, 20726, 1163, 1040, 204, 305, 397, 297, 23, 64, 2997, 68, 409, 66, 292, 297, 22, 68, 765, 31, 204, 485, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 409, 2629, 4922, 368, 204, 485, 314, 828, 275, 1040, 353, 500, 17, 6342, 275, 12390, 1040, 204, 485, 397, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 409, 2629, 564, 500, 31, 204, 895, 12390, 1412, 368, 204, 204, 305, 314, 828, 275, 2158, 1302, 353, 5658, 1194, 275, 1277, 302, 297, 22, 17, 23300, 275, 2158, 204, 305, 397, 2158, 68, 409, 3721, 1245, 13, 88, 22, 14, 338, 368, 31, 204, 485, 314, 828, 830, 2724, 292, 275, 2158, 2216, 17, 407, 959, 204, 485, 397, 12390, 564, 1245, 1568, 765, 348, 1040, 292, 297, 22, 68, 765, 19, 1309, 374, 397, 1040, 564, 500, 1037, 204, 895, 407, 959, 204, 204, 485, 314, 828, 275, 1943, 630, 275, 1012, 302, 275, 2158, 353, 292, 297, 22, 17, 6342, 1163, 1040, 204, 485, 397, 297, 23, 64, 2997, 68, 1530, 66, 292, 297, 22, 68, 765, 31, 204, 895, 397, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 1530, 2629, 564, 500, 31, 204, 2058, 12390, 4922, 368, 204, 895, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 1530, 2629, 1412, 368, 204, 485, 314, 5360, 275, 2158, 311, 275, 1629, 204, 485, 2158, 68, 1530, 1412, 368, 204, 204, 268, 407, 1078, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1988, 289, 5696, 374, 204, 264, 456, 13, 7107, 19, 2555, 68, 266, 6762, 499, 429, 528, 388, 74, 359, 5267, 6779, 84, 3687, 204, 0, 531, 1498, 532, 5739, 17, 1884, 204, 647, 1437, 204, 204, 7555, 2191, 289, 5739, 64, 932, 13, 42, 953, 4110, 360, 659, 10280, 17, 421, 17, 1437, 19, 35168, 66, 204, 204, 461, 5363, 68, 16823, 68, 835, 13, 204, 264, 5026, 31, 5739, 64, 3109, 19, 1556, 17, 388, 6446, 13132, 2869, 716, 264, 3265, 31, 1884, 64, 7555, 2191, 17, 24678, 204, 14, 393, 1437, 19, 8654, 31, 204, 264, 320, 204, 264, 3963, 275, 2423, 1302, 302, 275, 6465, 2162, 521, 7802, 13132, 1877, 8910, 275, 800, 3265, 19, 204, 204, 264, 457, 31, 204, 268, 5026, 31, 334, 726, 311, 3120, 275, 3265, 311, 19, 204, 268, 3265, 31, 332, 927, 302, 3265, 311, 3120, 311, 275, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 1812, 1302, 302, 275, 6465, 2162, 521, 7802, 13132, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 23601, 302, 5026, 329, 3265, 770, 508, 2216, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 23601, 302, 5026, 329, 3265, 2216, 204, 264, 397, 5026, 19, 2230, 374, 2167, 1245, 13, 3992, 330, 204, 268, 980, 987, 13, 204, 305, 283, 7, 25641, 3021, 302, 5026, 8267, 3470, 19, 1827, 1937, 329, 3265, 8267, 1796, 13, 3992, 17667, 770, 508, 2216, 3343, 204, 268, 1179, 204, 204, 264, 2423, 68, 1827, 289, 1306, 204, 264, 2162, 68, 3443, 289, 443, 204, 264, 2162, 68, 3443, 68, 1827, 289, 443, 204, 264, 10280, 68, 8344, 68, 3116, 68, 3443, 289, 1078, 204, 204, 264, 314, 1861, 1048, 275, 726, 677, 2665, 329, 3265, 204, 264, 348, 296, 17, 322, 835, 17, 6849, 14, 292, 3209, 13, 5714, 13, 3470, 19, 1827, 17, 3265, 4019, 204, 268, 397, 2381, 13, 3443, 17, 10280, 330, 204, 305, 314, 1426, 10280, 3265, 204, 305, 397, 6849, 564, 10280, 13, 3170, 17, 443, 17, 443, 330, 204, 485, 2423, 68, 1827, 19, 1223, 13, 835, 14, 204, 305, 902, 31, 204, 485, 2423, 68, 1827, 19, 1223, 13, 1796, 13, 2307, 4934, 3443, 19, 3992, 13, 835, 18742, 204, 204, 305, 314, 778, 397, 1422, 677, 273, 2162, 1112, 1877, 808, 10280, 204, 305, 397, 2162, 68, 3443, 353, 508, 443, 31, 204, 485, 10280, 68, 8344, 68, 3116, 68, 3443, 289, 959, 204, 204, 268, 1677, 2381, 13, 3443, 17, 421, 330, 204, 305, 314, 1426, 1534, 3265, 204, 305, 397, 2557, 19, 4561, 19, 271, 1293, 204, 485, 810, 31, 204, 895, 933, 13, 835, 5604, 3443, 66, 204, 485, 827, 9394, 31, 204, 895, 980, 9394, 13, 204, 2058, 283, 7, 7555, 463, 78, 98, 8267, 3443, 1937, 353, 685, 302, 933, 348, 5026, 302, 1302, 463, 3470, 19, 1827, 40964, 204, 895, 1179, 204, 204, 268, 1677, 1437, 19, 360, 68, 3116, 13, 3443, 330, 204, 305, 314, 1426, 2162, 3265, 204, 305, 397, 2162, 68, 3443, 68, 1827, 353, 443, 31, 204, 485, 2162, 68, 3443, 68, 1827, 289, 6849, 19, 1827, 204, 485, 2162, 68, 3443, 289, 1245, 13, 7912, 68, 1827, 14, 204, 204, 305, 902, 31, 204, 485, 810, 31, 204, 895, 2162, 68, 3443, 68, 1827, 289, 1437, 19, 23374, 68, 19298, 13, 3116, 68, 3443, 68, 1827, 17, 6849, 19, 1827, 14, 204, 485, 827, 12780, 31, 204, 895, 980, 9394, 13, 204, 2058, 283, 7, 837, 21168, 2162, 3265, 292, 1112, 338, 7550, 7687, 302, 45666, 3443, 19, 1827, 348, 6849, 292, 3265, 397, 1437, 19, 360, 68, 3116, 13, 3443, 2395, 40964, 204, 895, 1179, 204, 204, 485, 314, 778, 397, 1422, 677, 273, 10280, 1877, 808, 2162, 1112, 204, 485, 397, 10280, 68, 8344, 68, 3116, 68, 3443, 31, 204, 895, 2162, 68, 3443, 289, 500, 204, 204, 264, 314, 1716, 275, 2423, 2665, 440, 275, 2162, 1112, 2665, 204, 264, 397, 2162, 68, 3443, 353, 508, 443, 31, 204, 268, 2423, 68, 1827, 289, 2423, 68, 1827, 2022, 3116, 68, 3443, 66, 465, 458, 13, 3116, 68, 3443, 68, 1827, 14, 465, 2423, 68, 1827, 64, 3116, 68, 3443, 5853, 204, 204, 264, 407, 1437, 19, 8654, 13, 7912, 68, 1827, 14, 204, 204, 204, 461, 1814, 68, 3992, 68, 633, 68, 20232, 13, 204, 264, 5026, 31, 5739, 64, 3109, 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, 1556, 17, 388, 6446, 13132, 2869, 716, 264, 3265, 31, 1884, 64, 7555, 2191, 17, 24678, 204, 14, 393, 1884, 64, 3109, 19, 35168, 17, 26171, 204, 264, 320, 204, 264, 2208, 273, 927, 302, 3265, 311, 273, 927, 302, 2162, 3265, 19, 204, 204, 264, 457, 31, 204, 268, 5026, 31, 334, 726, 311, 3120, 275, 3265, 311, 19, 204, 268, 3265, 31, 332, 927, 302, 3265, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 302, 2162, 3265, 19, 204, 264, 320, 204, 264, 314, 21374, 10280, 329, 2162, 3265, 204, 264, 10280, 68, 3992, 289, 927, 13, 998, 348, 1112, 292, 3265, 397, 2381, 13, 998, 17, 10280, 602, 204, 264, 2162, 68, 3992, 289, 927, 13, 998, 348, 1112, 292, 3265, 397, 1437, 19, 360, 68, 3116, 13, 998, 602, 204, 204, 264, 314, 3963, 275, 14932, 336, 2665, 302, 2162, 3265, 204, 264, 2162, 68, 998, 68, 1827, 289, 1437, 19, 23374, 68, 19298, 46530, 3116, 68, 998, 19, 1827, 348, 2162, 68, 998, 292, 2162, 68, 3992, 694, 204, 204, 264, 314, 4347, 275, 542, 302, 2423, 5150, 204, 264, 771, 68, 7912, 68, 10840, 289, 1245, 13, 13465, 68, 3992, 14, 465, 1245, 13, 3116, 68, 998, 68, 1827, 14, 204, 204, 264, 314, 778, 397, 275, 2162, 1112, 353, 10094, 311, 275, 1012, 204, 264, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 289, 353, 68, 3116, 68, 998, 68, 43586, 68, 633, 68, 1530, 13, 3992, 14, 204, 204, 264, 314, 3963, 275, 542, 302, 2875, 22956, 2518, 329, 1877, 275, 2162, 1112, 204, 264, 771, 68, 8765, 22956, 68, 12505, 289, 1245, 13, 3116, 68, 998, 68, 1827, 14, 397, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 902, 500, 204, 264, 771, 68, 8765, 22956, 68, 8344, 289, 322, 920, 68, 7912, 68, 10840, 338, 1245, 13, 3116, 68, 998, 68, 1827, 602, 397, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 902, 771, 68, 7912, 68, 10840, 204, 204, 264, 717, 68, 3992, 289, 1306, 204, 264, 348, 2658, 17, 1112, 292, 3209, 13, 3992, 330, 204, 268, 397, 2381, 13, 998, 17, 10280, 330, 204, 305, 314, 1426, 10280, 3265, 204, 305, 771, 68, 8765, 22956, 68, 8344, 4922, 368, 204, 305, 717, 68, 998, 289, 1437, 19, 8268, 13, 21, 17, 5026, 19, 835, 13, 2230, 659, 2322, 34, 3470, 19, 3075, 5604, 998, 66, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 1957, 68, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 305, 771, 68, 8765, 22956, 68, 12505, 1412, 368, 204, 204, 268, 1677, 2381, 13, 998, 17, 421, 330, 204, 305, 314, 1426, 1534, 3265, 204, 305, 717, 68, 998, 289, 1437, 19, 3116, 13, 998, 17, 4798, 34, 3109, 19, 5515, 17, 2322, 34, 3470, 19, 3075, 14, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 1957, 68, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 204, 268, 1677, 1437, 19, 360, 68, 3116, 13, 998, 330, 204, 305, 314, 1426, 2162, 3265, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 204, 268, 717, 68, 3992, 19, 1223, 13, 1957, 68, 998, 14, 204, 204, 264, 407, 927, 13, 1957, 68, 3992, 14, 204, 204, 204, 461, 1936, 68, 3992, 13, 70, 17, 308, 330, 204, 264, 320, 204, 264, 778, 397, 970, 1112, 4550, 529, 1936, 19, 204, 204, 264, 457, 31, 204, 268, 273, 31, 334, 1043, 1112, 4781, 19, 204, 268, 308, 31, 334, 1350, 1112, 4781, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 1112, 4550, 529, 1936, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 397, 1437, 19, 360, 68, 3116, 13, 70, 14, 329, 1437, 19, 360, 68, 3116, 13, 71, 330, 204, 268, 407, 1437, 19, 4597, 13, 70, 17, 308, 14, 204, 264, 1677, 508, 1437, 19, 360, 68, 3116, 13, 70, 14, 329, 508, 1437, 19, 360, 68, 3116, 13, 71, 330, 204, 268, 407, 273, 564, 308, 204, 264, 902, 31, 204, 268, 407, 1078, 204, 204, 204, 461, 353, 68, 1625, 760, 68, 998, 13, 998, 330, 204, 264, 320, 204, 264, 778, 397, 273, 800, 1112, 353, 273, 1236, 760, 19, 204, 204, 264, 457, 31, 204, 268, 1112, 31, 334, 1112, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 1112, 353, 273, 1236, 760, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 407, 2381, 13, 998, 17, 10280, 14, 329, 1112, 564, 10280, 13, 3170, 17, 443, 17, 443, 14, 204, 204, 204, 461, 353, 68, 3116, 68, 998, 68, 43586, 68, 633, 68, 1530, 13, 3992, 330, 204, 264, 320, 204, 264, 778, 397, 275, 24227, 1085, 302, 275, 636, 1271, 353, 10094, 311, 275, 2962, 2964, 77, 5117, 19, 204, 204, 264, 457, 31, 204, 268, 3265, 31, 334, 3265, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 24227, 1085, 353, 10094, 311, 275, 2962, 2964, 77, 5117, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 869, 68, 3116, 68, 998, 289, 1078, 204, 264, 7346, 68, 3116, 68, 998, 289, 959, 204, 204, 264, 397, 1437, 19, 360, 68, 3116, 13, 3992, 64, 21, 1037, 204, 268, 407, 959, 204, 204, 264, 348, 1112, 292, 3265, 64, 22, 15136, 204, 268, 397, 1437, 19, 360, 68, 3116, 13, 998, 330, 204, 305, 397, 508, 869, 68, 3116, 68, 998, 31, 204, 485, 869, 68, 3116, 68, 998, 289, 959, 204, 305, 1677, 508, 7346, 68, 3116, 68, 998, 31, 204, 485, 407, 959, 204, 204, 268, 1677, 2381, 13, 998, 17, 10280, 330, 204, 305, 397, 869, 68, 3116, 68, 998, 31, 204, 485, 7346, 68, 3116, 68, 998, 289, 1078, 204, 204, 264, 407, 1078, 204, 204, 204, 461, 5258, 68, 2004, 68, 8765, 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, 22956, 13, 3116, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 330, 204, 264, 320, 204, 264, 17221, 273, 2162, 440, 2875, 22956, 19, 204, 204, 264, 457, 31, 204, 268, 2162, 31, 334, 2162, 311, 5258, 19, 204, 268, 771, 68, 8765, 22956, 68, 12505, 31, 334, 542, 302, 2875, 22956, 311, 881, 2518, 275, 2162, 19, 204, 268, 771, 68, 8765, 22956, 68, 8344, 31, 334, 542, 302, 2875, 22956, 311, 881, 1877, 275, 2162, 19, 204, 204, 264, 475, 31, 204, 268, 334, 12329, 2162, 19, 204, 264, 320, 204, 264, 314, 1255, 2875, 22956, 2518, 275, 2162, 204, 264, 348, 906, 292, 933, 13, 920, 68, 8765, 22956, 68, 12505, 330, 204, 268, 2162, 289, 2162, 19, 16876, 13, 21, 14, 204, 204, 264, 314, 1255, 2875, 22956, 1877, 275, 2162, 204, 264, 348, 906, 292, 933, 13, 920, 68, 8765, 22956, 68, 8344, 330, 204, 268, 2162, 289, 2162, 19, 16876, 2422, 22, 14, 204, 204, 264, 407, 2162, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2162, 204, 264, 2162, 289, 1437, 19, 9054, 13, 24, 17, 681, 17, 720, 14, 204, 204, 264, 314, 3963, 275, 636, 1271, 1302, 204, 264, 3265, 289, 322, 22, 17, 10280, 13, 22, 17, 571, 659, 435, 14, 204, 264, 636, 1271, 68, 835, 289, 5363, 68, 16823, 68, 835, 13, 3116, 17, 3265, 14, 204, 264, 456, 13, 75, 7, 5136, 1271, 1302, 31, 463, 16823, 68, 835, 743, 204, 204, 264, 314, 2208, 3265, 311, 10013, 204, 264, 2162, 68, 3992, 289, 1814, 68, 3992, 68, 633, 68, 20232, 13, 3116, 17, 3265, 14, 204, 264, 456, 13, 75, 7, 1556, 3265, 31, 463, 3116, 68, 3992, 743, 204, 0, 461, 456, 68, 11230, 68, 2922, 13, 1630, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 4069, 886, 292, 275, 537, 458, 17, 8367, 560, 275, 2219, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 778, 397, 537, 353, 273, 458, 302, 1892, 204, 264, 397, 508, 2381, 13, 1630, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 93, 17, 421, 14, 348, 610, 292, 886, 330, 204, 268, 980, 987, 499, 3383, 1631, 444, 273, 458, 302, 1892, 431, 204, 204, 264, 314, 21374, 4069, 329, 2219, 886, 1025, 1792, 3330, 204, 264, 4069, 68, 1630, 289, 551, 920, 348, 771, 292, 886, 397, 771, 1564, 435, 2167, 500, 66, 226, 314, 4496, 458, 6459, 348, 9208, 204, 264, 2219, 68, 1630, 289, 551, 920, 348, 771, 292, 886, 397, 771, 1564, 435, 564, 500, 66, 204, 204, 264, 314, 1198, 4069, 886, 8367, 560, 2219, 886, 204, 264, 456, 499, 29571, 886, 2212, 204, 264, 348, 771, 292, 4069, 68, 1630, 31, 204, 268, 456, 13, 920, 14, 204, 264, 456, 3273, 83, 15605, 886, 2212, 204, 264, 348, 771, 292, 2219, 68, 1630, 31, 204, 268, 456, 13, 920, 14, 204, 204, 8, 1165, 1265, 31, 204, 461, 667, 374, 393, 443, 31, 204, 264, 886, 289, 551, 21, 17, 368, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 66, 204, 264, 456, 68, 11230, 68, 2922, 13, 1630, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7664, 204, 204, 461, 1020, 68, 12761, 68, 2997, 13, 88, 31, 394, 17, 1029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 475, 275, 2311, 2158, 6479, 302, 1758, 88, 69, 496, 3192, 830, 2724, 292, 1758, 2170, 6557, 204, 615, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 268, 1029, 322, 325, 330, 334, 782, 1174, 275, 2724, 311, 1813, 348, 19, 204, 615, 264, 475, 31, 204, 268, 394, 31, 334, 2311, 2158, 6479, 302, 1758, 88, 69, 496, 3192, 830, 2724, 292, 1758, 2170, 6557, 204, 264, 320, 204, 615, 264, 314, 778, 348, 2872, 537, 204, 264, 397, 508, 297, 521, 508, 1029, 521, 1245, 13, 2170, 14, 1323, 1245, 13, 88, 330, 204, 268, 407, 3026, 204, 204, 264, 314, 666, 273, 4328, 348, 275, 2724, 292, 275, 1029, 782, 204, 264, 1029, 68, 5951, 289, 7664, 13, 2170, 14, 204, 264, 1945, 68, 8485, 289, 1245, 13, 2170, 14, 204, 615, 264, 314, 977, 275, 2158, 10873, 204, 264, 2158, 68, 1530, 289, 500, 204, 264, 1006, 68, 2997, 68, 1530, 289, 500, 204, 264, 1006, 68, 2997, 68, 1205, 289, 818, 611, 3643, 534, 204, 615, 264, 314, 1861, 1048, 275, 537, 782, 204, 264, 348, 2158, 68, 409, 17, 1125, 292, 3209, 13, 88, 17, 1012, 34, 22, 330, 204, 268, 314, 828, 275, 1943, 353, 292, 275, 1029, 782, 17, 20726, 275, 1945, 2724, 1040, 204, 268, 397, 1125, 292, 1029, 68, 5951, 31, 204, 305, 1029, 68, 5951, 64, 2441, 66, 4922, 368, 204, 305, 397, 1029, 68, 5951, 64, 2441, 66, 3721, 500, 31, 204, 485, 1945, 68, 8485, 4922, 368, 204, 822, 268, 314, 828, 830, 2724, 292, 275, 1029, 782, 529, 1193, 17, 810, 311, 14792, 275, 2158, 204, 268, 1335, 1945, 68, 8485, 564, 500, 31, 204, 305, 314, 828, 275, 790, 2158, 353, 5406, 1194, 275, 2311, 2158, 17, 1395, 275, 2311, 2158, 204, 305, 397, 2158, 68, 409, 338, 2158, 68, 1530, 962, 1006, 68, 2997, 68, 1205, 31, 204, 485, 1006, 68, 2997, 68, 1530, 289, 2158, 68, 1530, 204, 485, 1006, 68, 2997, 68, 1205, 289, 2158, 68, 409, 338, 2158, 68, 1530, 204, 3123, 305, 314, 828, 275, 1943, 630, 275, 1012, 302, 275, 2158, 353, 292, 275, 1029, 782, 17, 6342, 275, 1945, 2724, 1040, 204, 305, 397, 297, 64, 2997, 68, 1530, 66, 292, 1029, 68, 5951, 31, 204, 485, 1029, 68, 5951, 64, 88, 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, 2997, 68, 1530, 2629, 1412, 368, 204, 485, 397, 1029, 68, 5951, 64, 88, 64, 2997, 68, 1530, 2629, 1323, 500, 31, 204, 895, 1945, 68, 8485, 1412, 368, 204, 3123, 305, 314, 5360, 275, 1012, 302, 275, 2158, 311, 275, 1629, 204, 305, 2158, 68, 1530, 1412, 368, 204, 615, 264, 314, 455, 275, 2311, 2158, 6479, 204, 264, 407, 297, 64, 885, 68, 2997, 68, 1530, 31, 885, 68, 2997, 68, 1530, 465, 1006, 68, 2997, 68, 1205, 66, 397, 1006, 68, 2997, 68, 1205, 2167, 818, 611, 3643, 534, 902, 3026, 204, 204, 8, 1165, 1265, 31, 204, 2102, 13, 2269, 68, 12761, 68, 2997, 499, 3007, 13422, 42, 10707, 39, 2313, 40, 528, 388, 8927, 3687, 204, 0, 1252, 12197, 17, 292, 18692, 17, 2355, 12052, 1662, 1429, 7330, 10762, 292, 348, 5261, 521, 273, 1627, 302, 5261, 17, 348, 273, 4153, 690, 3155, 19, 29376, 5971, 11647, 311, 19063, 9412, 4419, 11500, 17, 1273, 20477, 16142, 23849, 447, 6293, 348, 1017, 45173, 292, 275, 39682, 19, 35616, 17, 1698, 12101, 529, 19923, 2355, 292, 275, 4886, 292, 275, 798, 302, 18776, 7705, 32, 5862, 17, 1429, 9412, 4419, 11500, 874, 11586, 808, 1629, 5395, 19, 204, 97, 1834, 12337, 3062, 353, 273, 22526, 19, 3665, 618, 1340, 29508, 6333, 2178, 560, 21536, 490, 16973, 204, 18, 5028, 4315, 302, 2077, 1890, 427, 1268, 1415, 9421, 329, 2761, 18893, 17, 529, 13711, 17, 2090, 2474, 9627, 17, 497, 275, 7705, 302, 2355, 17, 448, 397, 8295, 1466, 24923, 11584, 348, 275, 8006, 17, 329, 508, 348, 275, 4757, 20518, 299, 490, 32, 521, 1051, 4315, 302, 1605, 2549, 940, 3473, 302, 275, 7705, 329, 275, 1120, 302, 275, 904, 4315, 17, 2900, 1017, 24032, 19, 204, 18, 14083, 23835, 17, 4669, 311, 6901, 17488, 322, 18102, 4662, 17, 1916, 1845, 5224, 292, 12971, 480, 19, 27762, 17, 334, 8135, 880, 302, 14083, 23835, 322, 2132, 2418, 14, 2241, 19, 931, 17, 284, 19, 2468, 19, 204, 18, 595, 1239, 2077, 5140, 273, 13598, 21651, 17, 292, 928, 830, 1163, 24666, 1856, 7116, 4430, 311, 1102, 773, 830, 1017, 6160, 17, 1422, 1784, 7301, 444, 13711, 497, 1017, 26446, 270, 657, 17, 368, 19, 24405, 17, 3119, 17066, 630, 2181, 302, 26161, 288, 19, 435, 19, 16156, 17, 1415, 17, 311, 5068, 6799, 321, 25635, 302, 6525, 1493, 329, 43596, 13609, 302, 6248, 17, 2549, 508, 9984, 5516, 360, 3066, 15987, 292, 275, 3566, 20123, 302, 4757, 19, 571, 19, 35923, 1405, 17, 497, 13117, 275, 36927, 46936, 1259, 302, 5337, 440, 451, 5178, 5501, 275, 1629, 302, 1120, 329, 302, 4355, 19, 17789, 1675, 1415, 874, 1236, 1120, 2549, 444, 26525, 311, 8294, 11077, 292, 275, 7458, 15995, 32, 329, 302, 3200, 17, 2549, 42406, 11077, 311, 437, 4748, 292, 273, 19063, 15995, 19, 334, 6160, 17, 292, 275, 1043, 1322, 17, 1784, 444, 3870, 560, 22635, 12101, 1698, 19, 204, 18, 14083, 23835, 17, 4669, 311, 26755, 34485, 1118, 577, 17, 11047, 720, 17, 1916, 1845, 5224, 292, 12971, 480, 19, 27762, 17, 334, 8135, 880, 302, 14083, 23835, 322, 2132, 2418, 14, 2241, 19, 931, 17, 284, 19, 5487, 4154, 7378, 17, 6789, 7760, 368, 19, 204, 18, 334, 1838, 302, 2457, 275, 3651, 4368, 292, 275, 10033, 2688, 13372, 329, 10045, 440, 4362, 33184, 516, 16289, 204, 18, 39842, 929, 15956, 816, 19, 334, 12060, 9186, 302, 5904, 17, 11010, 382, 19, 8879, 2680, 35688, 15576, 311, 275, 14531, 29874, 17, 16016, 204, 18, 551, 6350, 15747, 24391, 66, 529, 4935, 1182, 3287, 292, 275, 3307, 302, 275, 5140, 1194, 1017, 3390, 23207, 311, 275, 5641, 3390, 302, 275, 5140, 19, 1547, 353, 348, 808, 5127, 496, 382, 874, 6202, 1742, 292, 6972, 302, 14191, 299, 1017, 2355, 292, 2077, 5140, 25042, 311, 273, 22082, 3390, 7032, 19, 1547, 353, 275, 1729, 5127, 496, 275, 31807, 35704, 302, 2077, 3477, 11278, 12218, 2355, 311, 275, 5439, 302, 275, 5739, 17, 1936, 2355, 292, 1051, 9354, 329, 5945, 316, 2355, 1609, 6982, 3390, 292, 275, 904, 19, 204, 18, 43080, 41909, 17, 27914, 302, 10224, 17, 7856, 630, 6720, 4618, 17, 10224, 322, 33286, 7500, 17, 35223, 659, 448, 8316, 292, 275, 10195, 21466, 36664, 1548, 322, 33286, 2468, 17, 35223, 659, 284, 19, 571, 19, 41909, 867, 15024, 348, 273, 388, 1625, 7, 9148, 523, 273, 24718, 928, 1784, 13344, 4834, 275, 1259, 5623, 316, 523, 275, 7032, 302, 3390, 19, 0, 1449, 2616, 275, 800, 2231, 17, 572, 1519, 311, 1696, 275, 1552, 302, 2758, 322, 49034, 330, 204, 204, 13, 26, 13, 23, 8787, 23, 338, 681, 15, 30, 48489, 24, 15, 23, 465, 571, 13, 23, 8787, 26, 13, 22, 602, 802, 322, 1003, 16, 26, 14, 204, 204, 5834, 17, 2249, 677, 5620, 275, 3099, 6204, 275, 11131, 31, 204, 18, 720, 13, 23, 14, 289, 931, 204, 18, 931, 15, 23, 289, 1199, 204, 18, 681, 15, 30, 289, 5075, 204, 18, 5075, 48489, 24, 289, 1598, 204, 18, 1598, 15, 23, 289, 3528, 204, 18, 571, 13, 23, 14, 289, 887, 204, 18, 887, 15, 26, 13, 22, 14, 289, 887, 15, 26, 289, 2468, 204, 204, 4063, 17, 8776, 1605, 1019, 1818, 1025, 275, 2231, 31, 204, 13, 1036, 338, 3528, 465, 2468, 14, 802, 322, 1003, 16, 26, 14, 204, 204, 12219, 17, 5620, 275, 3099, 6204, 275, 11131, 31, 204, 18, 1199, 338, 3528, 289, 338, 25, 204, 18, 338, 25, 465, 2468, 289, 5789, 204, 18, 931, 465, 720, 289, 2153, 204, 204, 4063, 17, 8776, 1605, 1019, 1818, 1025, 275, 2231, 31, 204, 4635, 802, 2153, 204, 204, 673, 2423, 722, 353, 31, 204, 4635, 20, 1909, 716, 204, 673, 1917, 1988, 6965, 6162, 448, 490, 1583, 508, 1696, 275, 1552, 302, 2758, 329, 275, 800, 2231, 5728, 19, 334, 1706, 1660, 18, 1424, 18, 2290, 4183, 1352, 353, 6680, 4166, 19, 0, 673, 16173, 329, 19477, 44216, 45576, 15847, 4558, 440, 275, 11981, 4886, 329, 275, 10918, 20242, 16588, 529, 31122, 299, 273, 4316, 11666, 37462, 311, 1995, 1662, 311, 3671, 275, 10602, 440, 275, 1182, 1194, 2031, 5857, 4598, 17, 15131, 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, 292, 275, 2202, 7001, 5899, 1415, 3480, 311, 732, 4316, 11666, 2986, 1101, 874, 1236, 3073, 311, 1475, 19, 334, 10769, 529, 3536, 17, 10619, 25397, 17, 4316, 9090, 17, 8608, 302, 5132, 17, 8608, 302, 14334, 17, 8608, 302, 6020, 22046, 19, 3846, 275, 1563, 5111, 311, 444, 496, 508, 2545, 5096, 311, 3326, 275, 542, 329, 18650, 302, 1017, 2804, 6644, 311, 3014, 311, 6863, 33392, 19464, 448, 2590, 448, 273, 2442, 302, 3490, 3232, 311, 8602, 521, 1950, 18, 16267, 33392, 2667, 19, 1765, 2589, 8453, 1415, 31715, 3793, 5913, 496, 1199, 1182, 9010, 497, 14072, 5570, 2667, 329, 24016, 19, 592, 4998, 17, 275, 3307, 19671, 302, 1605, 4598, 1425, 4767, 275, 7977, 302, 1017, 2804, 448, 2590, 448, 275, 8001, 329, 2667, 302, 1017, 9644, 19, 16623, 11666, 353, 273, 6556, 5910, 311, 1340, 19041, 1605, 3490, 19, 1547, 353, 275, 7032, 302, 8565, 1910, 5570, 88, 329, 353, 508, 15434, 8578, 348, 275, 2584, 490, 3629, 292, 3099, 302, 13887, 329, 4383, 19, 16173, 329, 19477, 44216, 45576, 5111, 311, 2861, 2379, 496, 1330, 5805, 618, 2106, 7977, 329, 10574, 16688, 448, 8235, 448, 4316, 11666, 17, 490, 355, 41291, 311, 444, 1182, 12459, 1376, 19, 5486, 884, 88, 10509, 3153, 1415, 884, 358, 1742, 726, 299, 1120, 11200, 497, 1017, 917, 302, 2013, 19, 0, 531, 589, 8991, 367, 532, 4923, 68, 647, 17, 4854, 17, 456, 68, 2539, 204, 531, 1498, 532, 1061, 17, 1535, 204, 531, 7124, 19, 1703, 532, 9566, 68, 11967, 204, 204, 531, 24799, 11743, 93, 532, 908, 17, 8811, 204, 531, 24799, 11743, 93, 19, 2005, 68, 9315, 19, 20433, 532, 322, 204, 264, 39180, 578, 4093, 8048, 17, 204, 264, 783, 578, 4093, 8048, 17, 204, 264, 1716, 578, 4093, 8048, 17, 204, 264, 10756, 68, 5433, 68, 676, 68, 12252, 17, 204, 14, 204, 204, 676, 38030, 13, 24012, 578, 4093, 8048, 17, 783, 578, 4093, 8048, 17, 1716, 578, 4093, 8048, 330, 204, 264, 320, 204, 264, 2646, 273, 3783, 542, 3966, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 325, 330, 334, 1222, 302, 275, 3783, 542, 19, 204, 264, 320, 204, 204, 264, 23765, 11410, 68, 3344, 289, 388, 4700, 68, 1190, 7, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 668, 68, 8019, 68, 3282, 13, 4621, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 10802, 2557, 348, 830, 886, 18871, 560, 275, 575, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 10802, 2557, 348, 830, 3783, 886, 19, 204, 268, 320, 204, 268, 407, 4963, 19, 655, 68, 8019, 13, 3170, 17, 930, 2645, 14, 204, 204, 264, 436, 636, 68, 8019, 68, 3282, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 10802, 2557, 348, 275, 47293, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 10802, 2557, 348, 275, 3783, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 655, 68, 8019, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 264, 436, 9393, 68, 48020, 1430, 68, 12533, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 3431, 6692, 14991, 6171, 348, 275, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 5327, 14991, 6171, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 722, 302, 275, 2661, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1510, 68, 13771, 68, 48020, 1430, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 668, 68, 37944, 5826, 68, 3282, 13, 4621, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 33944, 2557, 348, 830, 886, 18871, 560, 275, 575, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 33944, 2557, 348, 830, 3783, 886, 19, 204, 268, 320, 204, 268, 407, 4963, 19, 655, 68, 37944, 5826, 13, 3170, 17, 930, 2645, 14, 204, 204, 264, 436, 636, 68, 37944, 5826, 68, 3282, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 33944, 2557, 348, 275, 47293, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 33944, 2557, 348, 275, 3783, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 655, 68, 37944, 5826, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 204, 676, 3301, 9070, 13, 1218, 578, 4093, 8048, 17, 1716, 578, 4093, 8048, 330, 204, 264, 320, 204, 264, 3301, 850, 348, 3783, 542, 2557, 19, 204, 204, 264, 1532, 31, 204, 268, 23765, 11410, 68, 3344, 322, 325, 330, 334, 588, 302, 275, 2557, 726, 19, 204, 264, 320, 204, 204, 264, 436, 1014, 68, 805, 13, 327, 17, 3783, 68, 1190, 68, 359, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1274, 348, 275, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 3783, 68, 1190, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 3783, 542, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1274, 348, 275, 1014, 19, 204, 204, 268, 1632, 31, 204, 305, 908, 19, 1962, 44924, 31, 828, 275, 3783, 542, 1222, 353, 508, 273, 782, 19, 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 ]
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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, 523, 273, 19368, 10885, 1561, 3343, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 7987, 904, 3263, 19, 204, 264, 320, 204, 264, 314, 763, 275, 10885, 1561, 1483, 204, 264, 1127, 68, 1270, 289, 636, 68, 38747, 68, 4038, 68, 1270, 374, 204, 204, 264, 314, 1198, 275, 10885, 1561, 1483, 204, 264, 456, 499, 29769, 6136, 10455, 2212, 204, 264, 456, 13, 75, 7, 29769, 6136, 31, 463, 865, 68, 1270, 736, 38747, 68, 4038, 9436, 204, 264, 456, 13, 75, 7, 29769, 6136, 12815, 31, 463, 865, 68, 1270, 736, 38747, 68, 4038, 68, 2256, 9436, 204, 264, 456, 13, 75, 7, 21684, 18258, 31, 463, 865, 68, 1270, 736, 25313, 9436, 204, 264, 456, 13, 75, 7, 9117, 31, 463, 865, 68, 1270, 736, 9306, 9436, 204, 204, 264, 314, 778, 397, 275, 10885, 1561, 353, 19368, 204, 264, 1356, 68, 25518, 68, 865, 13, 865, 68, 1270, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 18, 2935, 5050, 302, 15781, 2744, 529, 8077, 560, 36183, 36, 204, 18, 2026, 770, 872, 4522, 15781, 2744, 36, 204, 18, 2935, 529, 275, 2327, 565, 599, 11976, 302, 15781, 16895, 36, 204, 18, 2026, 770, 872, 6721, 273, 5771, 872, 2927, 273, 18643, 36, 204, 18, 2935, 11080, 1330, 273, 8634, 5814, 273, 18643, 36, 204, 18, 2026, 618, 15781, 2744, 444, 28918, 36, 204, 18, 2935, 529, 275, 970, 1901, 2323, 15781, 2744, 36, 204, 18, 2935, 353, 275, 1901, 2323, 15781, 908, 36, 204, 18, 2026, 618, 872, 5068, 15781, 2744, 630, 2941, 36, 204, 18, 2935, 529, 275, 15298, 302, 6162, 16661, 36, 204, 18, 2026, 1910, 14263, 770, 16610, 3253, 36, 204, 18, 2935, 1856, 872, 770, 292, 1322, 302, 15781, 908, 36, 204, 18, 2935, 529, 275, 1913, 720, 7155, 2744, 36, 204, 18, 10643, 16661, 529, 1182, 10597, 8033, 292, 15781, 2744, 36, 204, 18, 2935, 353, 275, 1610, 3253, 302, 1901, 7155, 2744, 36, 204, 18, 2935, 11080, 1330, 872, 3074, 15781, 630, 275, 9263, 690, 36, 204, 18, 2935, 353, 275, 1901, 2323, 1187, 302, 5068, 578, 7155, 2744, 36, 204, 18, 16655, 770, 1901, 15781, 2744, 1336, 36, 204, 18, 2935, 353, 1051, 302, 275, 667, 8095, 302, 15781, 2744, 36, 204, 3728, 5050, 302, 15781, 2744, 529, 8077, 560, 36183, 36, 204, 673, 2327, 1901, 2323, 3003, 302, 24989, 18, 5969, 2744, 1466, 4816, 39428, 322, 5645, 19, 26, 2847, 659, 20254, 17459, 20, 7871, 322, 1036, 19, 28, 2847, 14, 329, 34177, 9750, 15781, 322, 24, 19, 30, 2847, 789, 19, 204, 2920, 770, 872, 4522, 15781, 2744, 36, 204, 673, 4376, 2986, 348, 28305, 25759, 3780, 529, 6338, 5197, 17, 5431, 1491, 13594, 17, 15739, 18062, 17, 329, 14223, 13312, 424, 19, 5375, 5743, 2744, 529, 14790, 7675, 560, 3210, 302, 3422, 6605, 17, 34070, 18062, 322, 1424, 16610, 17, 42496, 2156, 17, 33465, 17, 6396, 17, 329, 5261, 14, 329, 6338, 5197, 19, 204, 3728, 529, 275, 2327, 565, 599, 11976, 302, 15781, 16895, 36, 204, 14433, 1119, 46459, 15717, 14363, 18499, 43685, 56, 36, 28817, 275, 31, 2317, 4014, 302, 275, 1874, 32, 2317, 42526, 329, 39795, 32, 329, 2317, 16864, 4238, 275, 31, 14747, 1552, 32, 15152, 41660, 32, 9273, 15152, 5375, 5743, 6318, 19, 204, 2920, 770, 872, 6721, 273, 5771, 872, 2927, 273, 18643, 36, 204, 6648, 30346, 7155, 2744, 275, 1629, 2501, 31094, 560, 32914, 1422, 869, 1742, 437, 908, 32, 46958, 275, 3200, 302, 3780, 17, 974, 1950, 47706, 3269, 32, 5059, 275, 6797, 302, 275, 18643, 17, 15298, 17, 329, 1706, 545, 2086, 32, 44968, 6323, 35755, 329, 28100, 761, 504, 32, 42, 8364, 3888, 521, 14453, 329, 1995, 1475, 32, 329, 19, 17724, 275, 1682, 1660, 329, 1682, 3754, 440, 275, 5771, 19, 204, 3728, 11080, 1330, 273, 8634, 5814, 273, 18643, 36, 204, 5009, 1631, 7647, 496, 275, 8634, 884, 88, 18643, 8077, 872, 2641, 11268, 19, 1765, 1763, 17, 397, 275, 8634, 5585, 311, 24217, 1704, 521, 2830, 8650, 17, 329, 9430, 15342, 17, 872, 4006, 884, 89, 874, 273, 7319, 19, 828, 275, 8634, 11076, 884, 89, 24217, 1704, 521, 2830, 8650, 17, 329, 872, 21767, 497, 437, 9490, 448, 273, 722, 17, 872, 1784, 874, 1602, 31631, 34905, 19, 204, 2920, 618, 15781, 2744, 444, 28918, 36, 204, 1003, 36956, 348, 32259, 299, 5375, 5743, 39774, 42, 853, 562, 275, 5544, 7705, 302, 15781, 16895, 19, 9517, 15507, 2133, 15781, 30560, 19189, 15913, 19, 9517, 18447, 1356, 3217, 276, 2219, 16596, 1356, 3217, 664, 331, 14823, 19, 9517, 16033, 275, 21553, 322, 276, 3161, 30637, 14, 1151, 490, 1818, 19, 9517, 11328, 974, 273, 588, 10733, 19, 9517, 12006, 273, 2962, 292, 6509, 302, 275, 4048, 917, 19, 9517, 13511, 10350, 19, 13936, 2696, 5013, 8617, 204, 3728, 529, 275, 970, 1901, 2323, 15781, 2744, 36, 204, 673, 1901, 2323, 3003, 302, 8316, 15781, 2744, 1466, 40726, 39795, 329, 2296, 3659, 2233, 551, 11600, 368, 1664, 334, 1901, 2323, 8095, 302, 15781, 2744, 1466, 974, 36183, 322, 5145, 3794, 302, 3101, 1987, 302, 11458, 14, 292, 4816, 36595, 329, 19073, 292, 9680, 1987, 19, 204, 3728, 353, 275, 1901, 2323, 15781, 908, 36, 204, 673, 1901, 2323, 1187, 302, 908, 867, 9263, 690, 302, 16895, 17, 8367, 560, 287, 2138, 329, 9263, 17459, 17, 9263, 17502, 17, 521, 9263, 16895, 2233, 322, 1538, 22506, 2553, 1399, 15781, 789, 332, 16890, 5945, 302, 15781, 16895, 2744, 1336, 292, 11980, 1491, 2804, 19, 204, 2920, 618, 872, 5068, 15781, 2744, 630, 2941, 36, 204, 5434, 947, 5375, 5743, 39774, 630, 9114, 15047, 273, 15781, 458, 19, 9517, 14086, 1214, 15781, 458, 719, 18, 633, 18, 672, 19, 9517, 1606, 1769, 15858, 19, 9517, 15507, 770, 1908, 8506, 6488, 19, 9517, 6993, 16661, 292, 1017, 2171, 17474, 19, 9517, 1974, 273, 24491, 2036, 311, 25158, 24202, 19, 9517, 1974, 1051, 48619, 348, 830, 4816, 36595, 19, 204, 3728, 529, 275, 15298, 302, 6162, 16661, 36, 204, 673, 933, 302, 15298, 497, 15781, 908, 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, 6126, 6944, 497, 1236, 27420, 6126, 311, 5741, 19, 592, 1429, 2910, 17, 490, 618, 3253, 273, 717, 2407, 17, 4260, 6610, 521, 16619, 17, 1702, 448, 490, 23814, 17, 753, 88, 2734, 17, 521, 7498, 940, 7208, 430, 19, 10303, 34298, 17, 15781, 2744, 618, 722, 292, 11312, 5771, 13775, 521, 5741, 19, 204, 2920, 1910, 14263, 770, 16610, 3253, 36, 204, 837, 6903, 11166, 17, 275, 8105, 14747, 11059, 322, 15269, 47, 14, 6193, 437, 3062, 440, 275, 31171, 31, 14747, 908, 3217, 1947, 4986, 6043, 3253, 302, 5741, 292, 275, 548, 19, 56, 19, 334, 3062, 8421, 496, 448, 1910, 448, 10835, 17, 1207, 14263, 841, 1324, 292, 275, 5269, 5439, 1466, 8077, 560, 7155, 908, 19, 204, 3728, 1856, 872, 770, 292, 1322, 302, 15781, 908, 36, 204, 3719, 872, 1895, 273, 15781, 908, 17, 407, 311, 275, 25161, 302, 275, 6699, 7705, 302, 15781, 16895, 31, 275, 1629, 9680, 17, 17459, 17, 5143, 17, 690, 17, 5771, 329, 16022, 19, 828, 275, 5771, 14589, 872, 490, 353, 275, 9263, 15781, 521, 5519, 17, 3506, 329, 1356, 275, 1552, 19, 204, 3728, 529, 275, 1913, 720, 7155, 2744, 36, 204, 3728, 529, 275, 1901, 2323, 7155, 2744, 36, 48487, 42129, 19, 7252, 292, 13810, 353, 273, 2323, 7155, 908, 19, 9517, 32344, 336, 32471, 7593, 19, 332, 25127, 13810, 618, 444, 448, 47755, 448, 273, 6976, 42129, 19, 9517, 5375, 5743, 7252, 19, 9517, 592, 21069, 19, 9517, 18132, 7155, 7204, 19, 204, 15297, 16661, 529, 1182, 10597, 8033, 292, 15781, 2744, 36, 204, 6594, 321, 2553, 1399, 22315, 529, 275, 11458, 1901, 10597, 8033, 292, 15781, 2744, 292, 11980, 32, 4325, 579, 5417, 1592, 12426, 17, 506, 562, 14834, 17, 329, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 11458, 529, 1901, 5508, 311, 1747, 348, 4362, 603, 947, 578, 1093, 4879, 16289, 2001, 19678, 13055, 5695, 275, 7028, 302, 8235, 23108, 2744, 19, 204, 3728, 353, 275, 1610, 3253, 302, 1901, 7155, 2744, 36, 204, 46882, 3490, 1466, 1193, 311, 444, 275, 1901, 2323, 1610, 3253, 302, 7155, 2744, 19, 32693, 21828, 657, 618, 1336, 1169, 834, 1483, 353, 18901, 1283, 5771, 329, 8234, 521, 1283, 275, 43534, 302, 9873, 496, 29970, 273, 7504, 18416, 1561, 19, 204, 3728, 11080, 1330, 872, 3074, 15781, 630, 275, 9263, 690, 36, 204, 990, 3719, 872, 3074, 1214, 15781, 630, 275, 9263, 690, 4412, 566, 5366, 17, 1622, 286, 1741, 508, 1225, 448, 2590, 9517, 521, 872, 2549, 4699, 1182, 1653, 6126, 329, 33883, 3582, 48106, 329, 7160, 874, 273, 758, 302, 7599, 35885, 292, 1017, 27350, 17, 20691, 17, 20213, 17, 329, 4207, 496, 16428, 16545, 440, 6138, 884, 88, 3528, 18, 7459, 3702, 18, 19037, 6596, 19, 204, 3728, 353, 275, 1901, 2323, 1187, 302, 5068, 578, 7155, 2744, 36, 204, 16489, 32259, 578, 14747, 39774, 11641, 5743, 2744, 19, 1144, 2443, 448, 275, 1901, 2323, 1187, 302, 7155, 908, 17, 23233, 13431, 15781, 529, 1425, 275, 1901, 5068, 578, 19, 9517, 592, 21069, 19, 1785, 7523, 24537, 311, 444, 3106, 329, 719, 6219, 12753, 28577, 329, 38012, 7935, 19, 9517, 41173, 8749, 19, 204, 11142, 770, 1901, 15781, 2744, 1336, 36, 204, 11641, 5743, 2744, 618, 1336, 630, 1910, 3214, 292, 5771, 4101, 17, 497, 275, 917, 302, 10772, 275, 15781, 311, 275, 690, 1330, 275, 5771, 353, 28377, 275, 9680, 19, 592, 4303, 17, 15781, 2744, 5971, 17, 1336, 630, 1051, 302, 1605, 1728, 31, 5868, 299, 20, 29111, 39428, 19, 204, 3728, 353, 1051, 302, 275, 667, 8095, 302, 15781, 2744, 36, 204, 673, 1901, 2323, 8095, 302, 15781, 2744, 529, 31, 41173, 8749, 1283, 1214, 16610, 19, 41173, 8749, 1283, 872, 329, 1214, 16610, 19, 26404, 1987, 496, 5316, 28546, 329, 16661, 496, 2909, 28546, 19, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4277, 19, 27624, 532, 14054, 204, 531, 9325, 532, 10275, 448, 45950, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 20387, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 20387, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 7502, 329, 2907, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 20387, 510, 204, 264, 424, 289, 45950, 19, 986, 1155, 13, 553, 68, 546, 14, 204, 264, 951, 68, 2393, 289, 424, 736, 1219, 839, 204, 264, 683, 68, 2393, 289, 424, 736, 804, 839, 204, 264, 407, 951, 68, 2393, 17, 683, 68, 2393, 204, 204, 461, 7324, 68, 481, 13, 1219, 68, 2393, 17, 683, 68, 2393, 14, 393, 927, 31, 204, 264, 320, 204, 264, 8254, 424, 348, 1737, 329, 2907, 19, 204, 204, 264, 457, 31, 204, 268, 951, 68, 2393, 31, 7502, 424, 19, 204, 268, 683, 68, 2393, 31, 12016, 424, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 35762, 1737, 329, 2907, 424, 19, 204, 264, 320, 204, 264, 314, 8254, 1737, 424, 204, 264, 610, 68, 1219, 68, 5022, 289, 645, 19, 3071, 68, 4173, 13, 204, 268, 951, 68, 2393, 64, 21, 17, 296, 41917, 8893, 781, 1664, 6358, 13, 12595, 540, 27592, 17, 368, 14, 716, 268, 348, 296, 292, 933, 13, 1003, 14, 716, 268, 348, 781, 292, 933, 13, 1719, 14, 204, 264, 1179, 204, 615, 264, 314, 8254, 2907, 424, 204, 264, 610, 68, 804, 68, 5022, 289, 645, 19, 3071, 68, 4173, 13, 204, 268, 683, 68, 2393, 64, 21, 17, 296, 41917, 8893, 781, 1664, 6358, 13, 12595, 540, 27592, 17, 368, 14, 716, 268, 348, 296, 292, 933, 13, 1003, 14, 716, 268, 348, 781, 292, 933, 13, 2300, 14, 204, 264, 1179, 204, 264, 407, 610, 68, 1219, 68, 5022, 17, 610, 68, 804, 68, 5022, 204, 204, 461, 3120, 68, 18366, 13, 93, 68, 1219, 68, 5022, 31, 645, 19, 766, 17, 300, 68, 7027, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 3291, 14054, 311, 5695, 23601, 19, 204, 204, 264, 457, 31, 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, 610, 68, 1219, 68, 5022, 322, 1123, 19, 766, 330, 7502, 424, 19, 204, 268, 300, 68, 7027, 322, 339, 330, 3239, 302, 4550, 311, 15753, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 45025, 424, 19, 204, 264, 320, 204, 264, 314, 3291, 14054, 311, 5695, 23601, 204, 264, 20297, 289, 14054, 13, 83, 68, 7027, 34, 83, 68, 7027, 14, 204, 264, 610, 68, 26159, 289, 20297, 19, 2714, 68, 4072, 13, 93, 68, 1219, 68, 5022, 19, 57, 14, 204, 264, 407, 610, 68, 26159, 204, 204, 461, 1807, 68, 481, 13, 93, 68, 26159, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 8016, 424, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 26159, 322, 1123, 19, 766, 330, 45025, 424, 19, 204, 264, 320, 204, 264, 314, 968, 5427, 329, 14627, 348, 15905, 204, 264, 5427, 289, 2470, 7234, 31, 6267, 491, 379, 7234, 31, 21968, 491, 379, 7234, 31, 9378, 491, 379, 7234, 31, 747, 491, 379, 7234, 31, 37676, 491, 379, 7234, 31, 29249, 491, 379, 7234, 31, 44331, 491, 379, 7234, 31, 8472, 491, 204, 11826, 379, 7234, 31, 349, 545, 491, 379, 7234, 31, 40830, 839, 204, 264, 14627, 289, 2448, 84, 491, 379, 91, 491, 39367, 491, 13487, 491, 379, 12560, 379, 29, 491, 379, 88, 491, 379, 85, 491, 33497, 379, 77, 491, 379, 45, 491, 379, 41, 491, 379, 73, 534, 204, 615, 264, 314, 3045, 8016, 424, 204, 264, 348, 296, 292, 933, 13, 1003, 330, 204, 268, 1012, 289, 296, 540, 2753, 204, 268, 1136, 289, 322, 78, 465, 368, 14, 540, 2753, 204, 268, 610, 289, 610, 68, 26159, 64, 1530, 31, 409, 17, 500, 66, 204, 268, 469, 289, 610, 68, 26159, 64, 1530, 31, 409, 17, 368, 66, 204, 268, 1513, 19, 10129, 13, 93, 17, 469, 17, 8973, 34, 26983, 64, 78, 648, 1848, 34, 8024, 64, 78, 694, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 204, 264, 951, 68, 2393, 17, 683, 68, 2393, 289, 1137, 68, 481, 611, 8614, 62, 1887, 39, 1003, 19, 1155, 534, 204, 615, 264, 314, 8254, 424, 204, 264, 610, 68, 1219, 68, 5022, 17, 610, 68, 804, 68, 5022, 289, 7324, 68, 481, 13, 1219, 68, 2393, 17, 683, 68, 2393, 14, 204, 615, 264, 314, 3291, 14054, 204, 264, 610, 68, 26159, 289, 3120, 68, 18366, 13, 93, 68, 1219, 68, 5022, 17, 435, 14, 204, 615, 264, 314, 3045, 8016, 424, 204, 264, 1807, 68, 481, 13, 93, 68, 26159, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 8632, 532, 8204, 204, 531, 1498, 532, 783, 204, 204, 37, 6611, 204, 676, 38258, 31, 204, 264, 320, 5272, 273, 10883, 292, 275, 20059, 1561, 1279, 204, 264, 1276, 31, 421, 204, 264, 588, 31, 394, 204, 264, 4145, 68, 12746, 31, 818, 204, 264, 790, 68, 12746, 31, 818, 204, 264, 34168, 31, 783, 64, 996, 66, 204, 204, 676, 48682, 8177, 31, 204, 264, 320, 204, 264, 16318, 275, 20059, 1561, 17, 2864, 4141, 25466, 329, 21019, 34168, 19, 204, 204, 264, 1532, 31, 204, 268, 25466, 322, 1218, 64, 35485, 1037, 332, 458, 302, 830, 25466, 292, 275, 1561, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 17666, 275, 20059, 1561, 440, 437, 1392, 458, 302, 25466, 1279, 204, 268, 370, 19, 28986, 289, 1306, 204, 204, 264, 436, 838, 68, 20774, 13, 327, 17, 588, 31, 394, 17, 4145, 68, 12746, 31, 818, 14, 393, 38258, 31, 204, 268, 320, 204, 268, 2605, 273, 717, 10883, 292, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 10883, 19, 204, 305, 4145, 68, 12746, 322, 996, 330, 334, 4145, 11946, 348, 275, 10883, 19, 204, 204, 268, 475, 31, 204, 305, 38258, 31, 334, 9932, 1966, 10883, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 10883, 440, 273, 2220, 1276, 204, 268, 10883, 68, 359, 289, 1245, 13, 327, 19, 28986, 14, 465, 368, 204, 268, 10883, 289, 38258, 13, 20774, 68, 359, 17, 588, 17, 4145, 68, 12746, 17, 4145, 68, 12746, 17, 10336, 204, 268, 370, 19, 28986, 19, 1223, 13, 20774, 14, 204, 268, 407, 10883, 204, 204, 264, 436, 2481, 68, 12746, 13, 327, 17, 10883, 68, 359, 31, 421, 17, 11946, 31, 818, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 34813, 273, 11946, 523, 273, 10883, 292, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 10883, 68, 359, 322, 339, 330, 334, 1276, 302, 275, 10883, 311, 11946, 523, 19, 204, 305, 11946, 322, 996, 330, 334, 1690, 302, 275, 11946, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 11946, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 10883, 440, 275, 800, 1276, 204, 268, 348, 10883, 292, 370, 19, 28986, 31, 204, 305, 397, 10883, 19, 359, 564, 10883, 68, 359, 31, 204, 485, 314, 778, 397, 275, 11946, 353, 5092, 1194, 275, 790, 11946, 204, 485, 397, 11946, 1323, 10883, 19, 1976, 68, 12746, 31, 204, 895, 10883, 19, 1976, 68, 12746, 289, 11946, 204, 895, 10883, 19, 32668, 19, 1223, 13, 12746, 14, 204, 895, 407, 959, 204, 485, 902, 31, 204, 895, 407, 1078, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 20774, 13, 327, 17, 10883, 68, 359, 31, 421, 14, 393, 38258, 31, 204, 268, 320, 204, 268, 4071, 273, 10883, 497, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 10883, 68, 359, 322, 339, 330, 334, 1276, 302, 275, 10883, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 38258, 31, 334, 10883, 440, 275, 800, 1276, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 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, 314, 1752, 275, 10883, 440, 275, 800, 1276, 204, 268, 348, 10883, 292, 370, 19, 28986, 31, 204, 305, 397, 10883, 19, 359, 564, 10883, 68, 359, 31, 204, 485, 407, 10883, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 20059, 68, 4038, 289, 48682, 8177, 374, 204, 264, 10883, 289, 20059, 68, 4038, 19, 1510, 68, 20774, 499, 5063, 38258, 528, 931, 19, 21, 14, 204, 264, 456, 13, 75, 7, 35485, 1966, 31, 463, 20774, 19, 417, 98, 440, 4145, 11946, 463, 20774, 19, 17958, 68, 12746, 743, 204, 264, 20059, 68, 4038, 19, 1721, 68, 12746, 13, 20774, 19, 359, 17, 2153, 19, 21, 14, 204, 264, 456, 13, 75, 7, 11322, 11946, 31, 463, 20774, 19, 1976, 68, 12746, 743, 204, 264, 8781, 68, 20774, 289, 20059, 68, 4038, 19, 505, 68, 20774, 13, 20774, 19, 359, 14, 204, 264, 456, 13, 75, 7, 40107, 10883, 31, 463, 22679, 68, 20774, 19, 417, 98, 440, 790, 11946, 463, 22679, 68, 20774, 19, 1976, 68, 12746, 743, 204, 0, 461, 949, 68, 17073, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 41450, 9533, 49015, 322, 31503, 14, 302, 970, 886, 974, 275, 10781, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 273, 322, 339, 330, 334, 1043, 542, 19, 204, 268, 308, 322, 339, 330, 334, 1350, 542, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 16096, 302, 275, 970, 886, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 397, 308, 353, 500, 17, 275, 16096, 353, 273, 204, 264, 397, 308, 564, 500, 31, 204, 268, 407, 273, 204, 264, 314, 18302, 1322, 31, 949, 275, 16096, 302, 308, 329, 275, 6576, 302, 273, 6167, 560, 308, 204, 264, 902, 31, 204, 268, 407, 949, 68, 17073, 13, 71, 17, 273, 1564, 308, 14, 204, 204, 204, 461, 1020, 68, 17073, 68, 522, 68, 655, 13, 1630, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 16096, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 334, 458, 302, 886, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 16096, 302, 275, 458, 302, 886, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 458, 353, 1392, 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, 977, 275, 722, 440, 275, 1043, 542, 292, 275, 458, 204, 264, 722, 289, 886, 64, 21, 66, 204, 264, 314, 1861, 1048, 275, 3022, 302, 275, 886, 292, 275, 458, 204, 264, 348, 771, 292, 886, 64, 22, 15136, 204, 268, 314, 10248, 2962, 311, 4516, 4854, 560, 2962, 908, 204, 268, 397, 771, 2167, 500, 31, 204, 305, 314, 1716, 275, 722, 440, 275, 16096, 302, 275, 790, 722, 329, 275, 790, 542, 204, 305, 722, 289, 949, 68, 17073, 13, 1300, 17, 771, 14, 204, 264, 407, 722, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 458, 302, 886, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 2950, 444, 6004, 311, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 763, 537, 497, 575, 204, 264, 537, 68, 325, 289, 537, 499, 2101, 273, 458, 302, 886, 5289, 560, 17917, 31, 2810, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 537, 782, 311, 273, 458, 302, 1892, 204, 268, 407, 458, 13, 1608, 13, 339, 17, 537, 68, 325, 19, 1590, 48055, 204, 264, 827, 987, 448, 318, 31, 204, 268, 980, 987, 499, 1962, 537, 431, 497, 318, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 1058, 741, 8290, 273, 458, 302, 886, 497, 275, 575, 17, 9111, 275, 16096, 302, 275, 458, 17, 204, 264, 329, 5538, 3855, 275, 16096, 353, 368, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 268, 886, 289, 636, 68, 816, 68, 768, 374, 204, 268, 314, 888, 275, 16096, 302, 275, 458, 204, 268, 16196, 289, 1020, 68, 17073, 68, 522, 68, 655, 13, 1630, 14, 204, 268, 314, 1198, 3855, 275, 16096, 353, 368, 204, 268, 456, 13, 17073, 564, 368, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 314, 1198, 275, 908, 943, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 531, 636, 68, 40404, 2225, 68, 3337, 532, 322, 204, 264, 636, 68, 43180, 18504, 17, 204, 264, 636, 68, 14780, 36819, 17, 204, 264, 636, 68, 761, 865, 17, 204, 264, 2490, 590, 70, 68, 3968, 17, 204, 264, 636, 68, 35362, 17, 204, 264, 636, 68, 19862, 4280, 17, 204, 264, 26700, 880, 17, 204, 264, 636, 68, 2387, 68, 6124, 204, 14, 204, 204, 461, 3752, 68, 6270, 68, 481, 13, 805, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 11244, 3200, 424, 497, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 302, 275, 3200, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 15801, 3200, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6579, 3200, 424, 497, 275, 800, 1274, 204, 268, 407, 463, 204, 305, 388, 3044, 84, 322, 87, 38142, 42408, 636, 68, 761, 865, 13, 805, 659, 204, 305, 388, 57, 11863, 89, 18504, 559, 636, 68, 43180, 18504, 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, 805, 659, 204, 305, 388, 6185, 2520, 85, 31041, 559, 636, 68, 14780, 36819, 13, 805, 659, 204, 305, 388, 837, 1071, 36819, 301, 559, 636, 68, 35362, 13, 805, 659, 204, 305, 388, 59, 337, 402, 559, 636, 68, 19862, 4280, 13, 805, 659, 204, 305, 388, 23728, 4303, 559, 26700, 880, 19, 17246, 68, 6124, 13, 805, 659, 204, 305, 388, 23728, 21246, 2432, 2024, 1253, 559, 26700, 880, 19, 8074, 68, 742, 35944, 13, 805, 659, 204, 305, 388, 23728, 6924, 845, 278, 14836, 559, 636, 68, 2387, 68, 6124, 13, 805, 14, 204, 268, 1211, 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, 3200, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 6270, 68, 9045, 13, 3968, 31, 458, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 2605, 273, 3135, 497, 273, 458, 302, 3200, 5448, 19, 204, 204, 264, 457, 31, 204, 268, 14360, 322, 655, 330, 332, 458, 302, 3200, 5448, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3200, 424, 204, 264, 3200, 68, 481, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1274, 329, 3752, 3200, 424, 204, 264, 348, 1779, 292, 14360, 31, 204, 268, 456, 13, 75, 7, 31049, 299, 3200, 424, 497, 463, 805, 743, 204, 268, 424, 289, 3752, 68, 6270, 68, 481, 13, 805, 14, 204, 268, 397, 424, 31, 204, 305, 314, 5230, 15801, 424, 311, 275, 3200, 424, 458, 204, 305, 3200, 68, 481, 19, 1223, 13, 481, 14, 204, 615, 264, 314, 666, 273, 3135, 497, 275, 3200, 424, 458, 204, 264, 407, 1246, 19, 1362, 13, 6270, 68, 481, 14, 204, 204, 461, 2106, 68, 9045, 68, 633, 68, 2039, 13, 1695, 31, 1246, 19, 1362, 17, 2049, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 273, 3135, 311, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 3135, 311, 2106, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 2106, 275, 3135, 311, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 268, 2349, 19, 633, 68, 2039, 13, 2029, 17, 1112, 34, 1975, 17, 3494, 34, 1021, 14, 204, 268, 456, 13, 75, 7, 1362, 6467, 311, 463, 2029, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2306, 7770, 204, 268, 456, 13, 75, 7, 596, 7770, 3135, 311, 2306, 31, 463, 74, 743, 204, 204, 461, 1137, 68, 9045, 68, 531, 68, 2039, 13, 2029, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 5984, 273, 3135, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 1137, 275, 3135, 497, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 3135, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 3135, 497, 273, 2306, 510, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 2029, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2306, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 3135, 497, 2306, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 6579, 3200, 5448, 204, 264, 14360, 289, 2490, 590, 70, 68, 3968, 374, 204, 615, 264, 314, 666, 273, 3135, 497, 275, 3200, 5448, 204, 264, 2349, 289, 838, 68, 6270, 68, 9045, 13, 3968, 14, 204, 264, 456, 499, 22509, 3135, 431, 204, 264, 456, 13, 1695, 14, 204, 615, 264, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 264, 2049, 289, 379, 2039, 68, 481, 20, 1521, 278, 14836, 68, 1244, 19, 2039, 12, 204, 264, 2106, 68, 9045, 68, 633, 68, 2039, 13, 1695, 17, 2049, 14, 204, 264, 456, 499, 27743, 311, 2306, 431, 204, 615, 264, 314, 1385, 275, 3135, 497, 275, 2306, 510, 204, 264, 3271, 68, 1695, 289, 1137, 68, 9045, 68, 531, 68, 2039, 13, 2029, 14, 204, 264, 456, 499, 25501, 497, 2306, 431, 204, 264, 456, 13, 5391, 68, 1695, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 531, 1094, 19, 56, 5317, 19, 56, 5317, 5480, 532, 951, 68, 804, 17, 36917, 5480, 204, 531, 1094, 19, 56, 5317, 19, 9415, 56, 5317, 5480, 532, 12628, 56, 5317, 5480, 204, 531, 1094, 19, 56, 5317, 19, 56, 5317, 5480, 837, 532, 36917, 5480, 837, 204, 204, 461, 1137, 68, 481, 13, 204, 264, 510, 68, 546, 31, 394, 17, 716, 264, 860, 68, 644, 68, 998, 31, 421, 17, 716, 264, 2364, 17, 716, 264, 951, 68, 835, 31, 421, 17, 716, 264, 6175, 31, 421, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 3100, 68, 1949, 31, 818, 17, 716, 264, 732, 68, 23531, 31, 1109, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 329, 951, 275, 570, 19, 204, 204, 264, 457, 31, 204, 264, 338, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 424, 510, 19, 204, 264, 338, 860, 68, 644, 68, 998, 322, 339, 330, 3685, 18, 644, 1112, 19, 204, 264, 338, 2364, 31, 15301, 2364, 570, 19, 204, 264, 338, 951, 68, 835, 322, 339, 330, 7502, 1302, 19, 204, 264, 338, 6175, 322, 339, 330, 3239, 302, 6175, 19, 204, 264, 338, 2068, 68, 835, 322, 339, 330, 11579, 1302, 19, 204, 264, 338, 3100, 68, 1949, 322, 996, 330, 10750, 2233, 19, 204, 264, 338, 732, 68, 23531, 322, 2107, 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, 330, 2266, 311, 732, 15875, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 338, 610, 322, 5770, 1348, 330, 7502, 424, 19, 204, 264, 338, 469, 322, 5770, 1348, 330, 23585, 19, 204, 264, 320, 204, 264, 314, 2672, 275, 570, 329, 1137, 424, 204, 264, 407, 951, 68, 804, 13, 204, 268, 510, 68, 546, 17, 716, 268, 860, 68, 644, 68, 998, 34, 1509, 68, 644, 68, 998, 17, 716, 268, 2364, 34, 4165, 17, 716, 268, 951, 68, 835, 34, 1219, 68, 835, 17, 716, 268, 6175, 34, 7064, 17, 204, 268, 2068, 68, 835, 34, 2884, 68, 835, 17, 716, 268, 10264, 34, 6859, 68, 1949, 17, 716, 268, 732, 68, 23531, 34, 598, 68, 23531, 17, 716, 268, 5087, 68, 835, 34, 1003, 204, 264, 1179, 204, 204, 461, 1807, 68, 29291, 68, 1309, 13, 204, 264, 14104, 68, 1309, 31, 458, 17, 716, 264, 6175, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 14104, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 338, 14104, 68, 1309, 322, 655, 330, 783, 302, 14104, 1019, 19, 204, 264, 338, 6175, 322, 655, 330, 783, 302, 6175, 19, 204, 264, 320, 204, 264, 314, 763, 610, 1019, 348, 15905, 204, 264, 610, 68, 1309, 289, 933, 13, 1796, 13, 29291, 68, 1309, 64, 21, 1799, 21, 4513, 204, 615, 264, 314, 977, 3330, 311, 1640, 1563, 204, 264, 1869, 68, 5306, 301, 289, 1306, 204, 264, 4714, 68, 5707, 289, 1306, 204, 264, 1869, 68, 1309, 289, 1306, 204, 615, 264, 314, 888, 1869, 329, 2599, 5432, 302, 30335, 348, 848, 3741, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 7064, 4019, 204, 268, 314, 3398, 1950, 18, 5306, 1019, 204, 268, 2962, 68, 3115, 289, 645, 19, 765, 68, 25929, 13, 29291, 68, 1309, 64, 7064, 64, 78, 4395, 3138, 34, 22, 14, 204, 822, 268, 314, 888, 1869, 329, 2599, 5432, 204, 268, 4714, 68, 5707, 19, 1223, 13, 1123, 19, 3960, 13, 5306, 68, 3115, 602, 204, 268, 1869, 68, 5306, 301, 19, 1223, 13, 1123, 19, 3037, 13, 5306, 68, 3115, 602, 204, 268, 1869, 68, 1309, 19, 1223, 13, 1123, 19, 3037, 13, 29291, 68, 1309, 64, 7064, 64, 78, 4395, 3138, 34, 21, 602, 204, 204, 264, 314, 3045, 14104, 1019, 204, 264, 1513, 19, 1778, 611, 5987, 8214, 1019, 534, 204, 264, 1513, 19, 2700, 13, 1021, 14, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 3037, 68, 1309, 4019, 204, 268, 1513, 19, 1657, 13, 93, 68, 1309, 17, 1869, 68, 1309, 64, 78, 648, 1800, 833, 15934, 21294, 2478, 13, 7064, 64, 78, 4513, 204, 264, 1513, 19, 9042, 374, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 3454, 204, 264, 37573, 289, 5014, 8961, 20, 2027, 84, 20, 989, 20, 38893, 20, 1947, 11573, 12, 204, 264, 28267, 289, 3318, 5865, 481, 20, 3845, 38746, 68, 21, 19, 77, 26, 2625, 2478, 13, 4082, 14, 204, 264, 39287, 68, 47129, 289, 959, 204, 264, 387, 9202, 3007, 68, 18512, 289, 887, 204, 264, 361, 6217, 56, 289, 368, 204, 264, 29147, 68, 2956, 289, 3861, 204, 264, 45722, 289, 38244, 204, 264, 20476, 68, 2956, 289, 3861, 204, 264, 36223, 68, 9572, 289, 500, 19, 37425, 204, 264, 26472, 68, 4617, 68, 15841, 289, 500, 204, 204, 264, 314, 5988, 275, 542, 302, 4364, 311, 732, 10625, 523, 44647, 204, 264, 300, 68, 3191, 289, 1233, 397, 39287, 68, 47129, 902, 7328, 204, 204, 264, 314, 11420, 928, 2364, 311, 732, 204, 264, 2364, 289, 36917, 5480, 837, 13, 17911, 68, 4346, 34, 5917, 11371, 68, 18512, 17, 537, 68, 1827, 34, 16712, 17, 685, 68, 1827, 34, 83, 68, 3191, 14, 204, 204, 264, 314, 1385, 424, 329, 951, 275, 570, 204, 264, 610, 17, 469, 289, 1137, 68, 481, 13, 204, 268, 28267, 17, 716, 268, 26472, 68, 4617, 68, 15841, 17, 716, 268, 2364, 17, 716, 268, 29147, 68, 2956, 17, 716, 268, 45722, 17, 716, 268, 20476, 68, 2956, 17, 716, 268, 36223, 68, 9572, 17, 716, 268, 39287, 68, 47129, 204, 264, 1179, 204, 615, 264, 314, 763, 14104, 1019, 497, 275, 2364, 204, 264, 14104, 68, 1309, 289, 2364, 19, 29291, 68, 1309, 204, 204, 264, 314, 3045, 14104, 1019, 204, 264, 6175, 68, 655, 289, 933, 13, 21, 17, 45722, 16, 22, 17, 1607, 14, 204, 264, 1807, 68, 29291, 68, 1309, 13, 29291, 68, 1309, 17, 6175, 68, 655, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 17, 1535, 204, 647, 12348, 204, 647, 1361, 204, 531, 8632, 532, 8204, 204, 531, 2573, 532, 5782, 204, 204, 8, 968, 273, 2363, 2710, 348, 9499, 9649, 204, 676, 36502, 9650, 596, 13, 2940, 330, 204, 264, 320, 19096, 1330, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 315, 204, 264, 1879, 204, 204, 8, 968, 437, 2573, 348, 275, 3416, 292, 332, 3108, 39837, 204, 676, 332, 3108, 39837, 3029, 13, 5346, 330, 204, 264, 320, 5346, 348, 275, 3416, 292, 332, 3108, 39837, 315, 204, 264, 29774, 289, 379, 2040, 68, 1270, 12, 204, 264, 24623, 14211, 56, 289, 379, 2040, 68, 2226, 12, 204, 264, 27888, 38, 289, 379, 2040, 68, 6656, 12, 204, 264, 23765, 11410, 289, 379, 2040, 68, 1386, 12, 204, 264, 13158, 289, 379, 2040, 68, 935, 12, 204, 264, 13158, 68, 2504, 3285, 39, 2438, 3884, 289, 379, 2040, 68, 935, 68, 18978, 12, 204, 264, 25384, 23344, 289, 379, 2040, 68, 23413, 12, 204, 264, 332, 16593, 289, 379, 15889, 68, 816, 68, 2040, 12, 204, 204, 8, 968, 273, 8204, 348, 9067, 5655, 204, 37, 6611, 204, 676, 9067, 5655, 31, 204, 264, 320, 30663, 348, 1574, 1483, 315, 204, 264, 1574, 68, 359, 31, 421, 289, 443, 204, 264, 575, 68, 359, 31, 421, 289, 443, 204, 264, 7581, 31, 818, 289, 443, 204, 264, 7754, 31, 818, 289, 443, 204, 264, 3441, 31, 421, 289, 443, 204, 264, 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, 690, 68, 633, 68, 15622, 31, 421, 289, 443, 204, 264, 4521, 31, 421, 289, 443, 204, 264, 353, 68, 10719, 31, 1109, 289, 959, 204, 264, 15807, 68, 765, 31, 421, 289, 500, 204, 264, 5020, 68, 765, 31, 421, 289, 500, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 13671, 9067, 5655, 311, 273, 955, 315, 204, 268, 407, 463, 204, 305, 379, 2040, 68, 359, 597, 370, 19, 2040, 68, 359, 17, 204, 305, 379, 816, 68, 359, 597, 370, 19, 816, 68, 359, 17, 204, 305, 379, 10204, 597, 370, 19, 10204, 17, 204, 305, 379, 11117, 597, 370, 19, 11117, 17, 204, 305, 379, 6575, 597, 370, 19, 6575, 17, 204, 305, 379, 834, 68, 633, 68, 15622, 597, 370, 19, 834, 68, 633, 68, 15622, 17, 204, 305, 379, 5192, 597, 370, 19, 5192, 17, 204, 305, 379, 360, 68, 10719, 597, 421, 13, 327, 19, 360, 68, 10719, 659, 204, 305, 379, 17981, 68, 765, 597, 370, 19, 17981, 68, 765, 17, 204, 305, 379, 4280, 68, 765, 597, 370, 19, 4280, 68, 765, 204, 268, 1211, 204, 204, 264, 1642, 6649, 204, 264, 436, 497, 68, 873, 13, 4621, 17, 424, 31, 1135, 14, 393, 379, 9650, 5655, 597, 204, 268, 320, 5964, 273, 9067, 5655, 726, 497, 273, 955, 315, 204, 268, 407, 4963, 13, 204, 305, 1574, 68, 359, 34, 481, 19, 505, 611, 2040, 68, 359, 2008, 204, 305, 575, 68, 359, 34, 481, 19, 505, 611, 816, 68, 359, 2008, 204, 305, 7581, 34, 481, 19, 505, 611, 10204, 2008, 204, 305, 7754, 34, 481, 19, 505, 611, 11117, 2008, 204, 305, 3441, 34, 481, 19, 505, 611, 6575, 2008, 204, 305, 690, 68, 633, 68, 15622, 34, 481, 19, 505, 611, 834, 68, 633, 68, 15622, 2008, 204, 305, 4521, 34, 339, 13, 481, 19, 505, 611, 5192, 491, 500, 3917, 204, 305, 353, 68, 10719, 34, 2107, 13, 481, 19, 505, 611, 360, 68, 10719, 491, 959, 3917, 204, 305, 15807, 68, 765, 34, 481, 19, 505, 611, 17981, 68, 765, 491, 500, 659, 204, 305, 5020, 68, 765, 34, 481, 19, 505, 611, 4280, 68, 765, 491, 500, 14, 204, 268, 1179, 204, 204, 676, 38028, 12439, 31, 204, 264, 320, 3317, 348, 11696, 9649, 292, 275, 1104, 315, 204, 264, 436, 589, 924, 889, 327, 17, 30383, 39837, 68, 8430, 17, 297, 24, 8430, 17, 1813, 68, 998, 17, 8528, 31, 394, 289, 379, 47305, 4448, 204, 268, 320, 204, 268, 977, 275, 38028, 12439, 19, 204, 204, 268, 457, 31, 204, 268, 338, 30383, 39837, 68, 8430, 31, 334, 332, 3108, 39837, 15894, 19, 204, 268, 338, 297, 24, 8430, 31, 334, 387, 24, 15894, 19, 204, 268, 338, 1813, 68, 998, 31, 334, 1813, 1112, 19, 204, 268, 338, 8528, 31, 334, 8528, 348, 275, 9649, 322, 2305, 31, 379, 47305, 3930, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 289, 30383, 39837, 68, 8430, 204, 268, 370, 806, 88, 24, 8430, 289, 297, 24, 8430, 204, 268, 370, 806, 1803, 68, 998, 289, 1813, 68, 998, 204, 268, 370, 806, 11730, 289, 8528, 204, 268, 370, 806, 3604, 289, 332, 3108, 39837, 3029, 204, 204, 264, 436, 4481, 68, 2040, 13, 327, 17, 3986, 31, 9067, 5655, 17, 2048, 31, 783, 64, 339, 648, 5713, 68, 13412, 31, 1535, 64, 3881, 648, 726, 68, 13412, 31, 1535, 64, 3881, 648, 752, 68, 13412, 31, 1535, 64, 3881, 648, 20479, 68, 13412, 31, 1535, 64, 3881, 694, 393, 421, 31, 204, 268, 320, 204, 268, 15631, 273, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 338, 2048, 31, 334, 2048, 302, 275, 1574, 19, 204, 268, 338, 5713, 68, 13412, 31, 334, 5713, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 752, 68, 13412, 31, 334, 752, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 20479, 68, 13412, 31, 334, 20479, 424, 302, 275, 1574, 322, 9899, 789, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1276, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 314, 2069, 1574, 1276, 204, 268, 3986, 19, 2040, 68, 359, 289, 370, 806, 2721, 68, 2040, 68, 359, 13, 1270, 17, 726, 68, 13412, 14, 204, 268, 314, 778, 348, 9991, 204, 268, 370, 806, 2555, 68, 17433, 13, 1270, 19, 2040, 68, 359, 14, 204, 268, 314, 15631, 424, 329, 1675, 3986, 204, 268, 370, 806, 1803, 68, 998, 19, 826, 68, 2040, 13, 1270, 17, 2048, 14, 204, 268, 397, 5713, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 6656, 13, 1270, 19, 2040, 68, 359, 17, 5713, 68, 13412, 14, 204, 268, 397, 726, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 1386, 13, 1270, 19, 2040, 68, 359, 17, 726, 68, 13412, 14, 204, 268, 397, 752, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 935, 13, 1270, 19, 2040, 68, 359, 17, 752, 68, 13412, 14, 204, 268, 397, 20479, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 23413, 13, 1270, 19, 2040, 68, 359, 17, 20479, 68, 13412, 14, 204, 268, 370, 806, 399, 68, 1270, 13, 1270, 19, 2040, 68, 359, 17, 3986, 14, 204, 268, 407, 3986, 19, 2040, 68, 359, 204, 204, 264, 436, 3142, 68, 2040, 13, 327, 17, 1574, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3182, 273, 1574, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 311, 3142, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 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, 327, 806, 11730, 17, 370, 806, 3604, 19, 9202, 23344, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 8440, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 30907, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 31968, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 25783, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 1803, 68, 998, 19, 3956, 68, 2040, 13, 2040, 68, 359, 14, 204, 204, 264, 436, 906, 2721, 68, 2040, 68, 359, 13, 327, 17, 3986, 31, 9067, 5655, 17, 726, 68, 13412, 31, 1535, 64, 3881, 694, 393, 421, 31, 204, 268, 320, 204, 268, 2069, 273, 2220, 1574, 1276, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 322, 9899, 789, 204, 204, 268, 475, 31, 204, 268, 338, 334, 4489, 1574, 1276, 19, 204, 268, 320, 204, 268, 869, 517, 289, 12348, 19, 7648, 26, 374, 204, 268, 436, 906, 2045, 13, 876, 330, 204, 305, 397, 700, 31, 204, 485, 869, 517, 19, 2045, 13, 325, 13, 876, 789, 4170, 1447, 204, 268, 906, 2045, 13, 1270, 19, 816, 68, 359, 14, 204, 268, 906, 2045, 13, 1270, 19, 10204, 14, 204, 268, 906, 2045, 13, 1270, 19, 11117, 14, 204, 268, 906, 2045, 13, 1386, 68, 13412, 14, 204, 268, 407, 421, 13, 4753, 517, 19, 18927, 40172, 1845, 648, 2247, 14, 2343, 500, 93, 28, 26028, 26028, 26028, 5065, 43, 204, 204, 264, 436, 906, 2555, 68, 17433, 13, 327, 17, 1574, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 778, 397, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 311, 1356, 19, 204, 204, 268, 1632, 31, 204, 268, 338, 36502, 9650, 596, 31, 828, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 19, 204, 268, 320, 204, 268, 3986, 68, 644, 289, 322, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 602, 204, 268, 397, 370, 806, 70, 3108, 39837, 68, 8430, 19, 2555, 68, 4332, 13, 1270, 68, 644, 330, 204, 305, 980, 36502, 9650, 596, 611, 9650, 2861, 2560, 534, 204, 204, 264, 436, 906, 399, 68, 1270, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 3986, 31, 9067, 5655, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 1574, 1483, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 3986, 19, 633, 68, 873, 1447, 204, 204, 264, 436, 906, 399, 68, 6656, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 5713, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 5713, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 5713, 68, 13412, 31, 334, 5713, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 31968, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 5713, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 1386, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 726, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 726, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 30907, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 726, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 935, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 752, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 752, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 752, 68, 13412, 31, 334, 752, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 8440, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 752, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 23413, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 20479, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 20479, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 20479, 68, 13412, 31, 334, 20479, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 9202, 23344, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 20479, 68, 13412, 14, 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, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 977, 275, 30383, 39837, 15894, 17, 297, 24, 15894, 17, 329, 1813, 1112, 204, 264, 30383, 39837, 68, 8430, 289, 443, 226, 314, 4546, 440, 1214, 30383, 39837, 15894, 204, 264, 297, 24, 8430, 289, 443, 226, 314, 4546, 440, 1214, 297, 24, 15894, 204, 264, 1813, 68, 998, 289, 443, 226, 314, 4546, 440, 1214, 1813, 1112, 204, 204, 264, 314, 666, 273, 38028, 12439, 1014, 204, 264, 9649, 68, 2693, 289, 38028, 12439, 13, 70, 3108, 39837, 68, 8430, 17, 297, 24, 8430, 17, 1813, 68, 998, 14, 204, 204, 264, 314, 666, 273, 9067, 5655, 1014, 204, 264, 1574, 68, 1270, 289, 9067, 5655, 13, 204, 268, 575, 68, 359, 34, 22, 17, 204, 268, 7581, 34, 4462, 19, 45298, 17, 204, 268, 7754, 8981, 19113, 19, 45194, 17, 204, 268, 3441, 34, 2051, 17, 204, 268, 690, 68, 633, 68, 15622, 34, 32972, 17, 204, 268, 4521, 34, 27348, 44127, 17, 204, 268, 353, 68, 10719, 34, 1975, 17, 204, 268, 15807, 68, 765, 34, 1003, 17, 204, 268, 5020, 68, 765, 34, 2051, 204, 264, 1179, 204, 204, 264, 314, 15631, 275, 1574, 1025, 275, 1104, 204, 264, 1574, 68, 359, 289, 9649, 68, 2693, 19, 399, 68, 2040, 13, 2040, 68, 1270, 17, 551, 22, 17, 435, 17, 571, 648, 308, 12119, 2633, 68, 481, 491, 308, 12, 1386, 68, 481, 491, 308, 12, 935, 68, 481, 491, 308, 12, 23413, 68, 481, 534, 204, 264, 456, 13, 75, 12, 9650, 1276, 31, 463, 2040, 68, 359, 3501, 204, 204, 264, 314, 3182, 275, 1574, 497, 275, 1104, 204, 264, 9649, 68, 2693, 19, 3956, 68, 2040, 13, 2040, 68, 359, 14, 204, 0, 461, 636, 68, 8765, 68, 6391, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 273, 2875, 1943, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 2875, 1943, 537, 560, 275, 575, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 2875, 1943, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 1245, 13, 816, 68, 768, 14, 564, 368, 31, 204, 305, 407, 575, 68, 768, 204, 268, 456, 499, 5213, 2064, 273, 2875, 1943, 1280, 204, 204, 461, 1356, 68, 6391, 68, 2059, 13, 768, 68, 2441, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 3855, 273, 1943, 353, 12617, 521, 9236, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 2441, 322, 325, 330, 334, 1943, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 379, 28453, 2059, 12, 397, 275, 1943, 353, 12617, 17, 379, 29153, 2059, 12, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 353, 5231, 374, 1216, 311, 1356, 397, 275, 1943, 353, 12617, 204, 264, 397, 537, 68, 2441, 19, 31651, 1293, 204, 268, 407, 379, 28453, 2059, 12, 204, 264, 1677, 537, 68, 2441, 19, 35799, 1293, 204, 268, 407, 379, 29153, 2059, 12, 204, 264, 902, 31, 204, 268, 407, 379, 2204, 273, 4669, 12, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 273, 2875, 1943, 537, 497, 275, 575, 204, 264, 537, 68, 2441, 289, 636, 68, 8765, 68, 6391, 68, 768, 499, 2101, 273, 1943, 31, 2810, 204, 615, 264, 314, 778, 275, 1322, 302, 275, 537, 1943, 204, 264, 1322, 289, 1356, 68, 6391, 68, 2059, 13, 768, 68, 2441, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 673, 1943, 3318, 768, 68, 2441, 2867, 353, 463, 2059, 12443, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22, 19, 21, 19, 23, 47709, 12330, 19147, 1603, 38608, 32686, 460, 3820, 38005, 1227, 9855, 5259, 725, 10421, 18938, 44398, 725, 4664, 725, 10822, 725, 14745, 2338, 3865, 1955, 20434, 4121, 38608, 24820, 6551, 460, 460, 10298, 2338, 32586, 568, 204, 22, 19, 21, 19, 24, 226, 6436, 2526, 4121, 38608, 24820, 6551, 10298, 460, 8255, 7965, 14787, 6395, 4587, 10298, 408, 4587, 26455, 2370, 942, 3854, 4587, 48646, 26455, 16040, 5103, 2860, 42364, 568, 204, 22, 19, 21, 19, 25, 226, 4121, 38608, 24820, 6551, 10298, 2426, 408, 10298, 8255, 7965, 26526, 10298, 9516, 2065, 8404, 10700, 9516, 408, 2823, 2370, 10945, 2411, 28971, 10194, 21247, 568, 204, 22, 19, 21, 19, 26, 226, 6551, 2405, 1262, 6713, 2370, 21846, 408, 20326, 725, 28216, 725, 24134, 725, 16548, 2370, 12239, 4587, 5659, 408, 7965, 942, 1670, 6638, 20382, 20702, 568, 204, 22, 19, 21, 19, 27, 226, 6551, 2405, 1262, 5259, 725, 10421, 18938, 44349, 9760, 18543, 408, 3589, 27305, 725, 21342, 3523, 6478, 408, 10166, 3865, 7371, 408, 34346, 5932, 1955, 7965, 12239, 4296, 3560, 14205, 5103, 20458, 568, 204, 22, 19, 21, 19, 28, 226, 13231, 43139, 6551, 7965, 942, 10435, 10298, 16302, 2860, 6326, 12545, 2677, 2278, 12408, 5778, 725, 21628, 725, 7640, 6308, 1955, 10412, 2823, 3571, 28971, 10194, 32586, 10286, 4901, 1946, 408, 46730, 3590, 1926, 3031, 38050, 10298, 568, 204, 22, 19, 21, 19, 29, 18371, 942, 20188, 59, 725, 30686, 59, 44161, 1822, 22806, 460, 20434, 2526, 4121, 38608, 24820, 408, 12431, 3865, 38608, 13573, 10633, 3622, 6713, 408, 43917, 3865, 3883, 38608, 3622, 6713, 568, 204, 22, 19, 21, 19, 30, 226, 4121, 38608, 24820, 6551, 30, 226, 4121, 38608, 24820, 6551, 10298, 2338, 32586, 408, 5277, 12023, 2183, 12330, 2638, 408, 2778, 2370, 12239, 10369, 4121, 226, 6444, 725, 29156, 725, 12812, 5137, 14599, 43357, 6326, 6770, 725, 12330, 20458, 568, 204, 23, 19, 21, 19, 22, 4121, 38608, 24820, 226, 1367, 46870, 9014, 38608, 1227, 40305, 26020, 16921, 38608, 408, 1254, 16354, 38608, 23894, 460, 24820, 568, 435, 19, 21, 19, 23, 3883, 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, 11569, 35195, 226, 1367, 19469, 38608, 3841, 1251, 1773, 26020, 16921, 460, 3883, 35195, 6213, 8412, 2006, 568, 204, 23, 19, 21, 19, 24, 41398, 2006, 226, 7782, 3883, 2134, 1773, 2704, 725, 41398, 7594, 2455, 725, 41398, 5146, 1926, 3491, 2338, 27808, 25369, 7080, 4079, 2860, 1689, 3875, 41398, 16167, 460, 4262, 6076, 568, 204, 23, 19, 21, 19, 25, 4769, 41458, 226, 4121, 38608, 24820, 12054, 2065, 41398, 7594, 2455, 30542, 41458, 13, 20860, 14, 204, 23, 19, 21, 19, 26, 12054, 41458, 226, 4121, 38608, 24820, 12054, 7191, 2436, 11654, 2386, 4004, 2134, 5881, 30542, 41458, 13, 20860, 14, 204, 23, 19, 21, 19, 27, 32534, 41458, 226, 2499, 4004, 5881, 5031, 1638, 4623, 14942, 14655, 4004, 12054, 1390, 2405, 4852, 2411, 460, 41458, 2677, 20860, 2653, 204, 23, 19, 21, 19, 28, 4769, 41398, 41458, 226, 4121, 38608, 24820, 3883, 2134, 1773, 18884, 30444, 15208, 2065, 1251, 1773, 30542, 41458, 2677, 20860, 2653, 435, 19, 21, 19, 29, 8802, 26940, 30760, 226, 11226, 32942, 1822, 21793, 6713, 831, 8802, 26940, 3354, 12298, 10000, 30760, 460, 24057, 568, 204, 23, 19, 21, 19, 30, 37702, 29, 2132, 1902, 3361, 3004, 226, 35420, 11515, 15115, 21750, 10298, 7371, 831, 24278, 921, 2494, 2034, 2338, 12054, 6496, 15997, 8418, 1926, 17394, 21524, 408, 2056, 24795, 15713, 7416, 3004, 408, 10434, 44504, 460, 40594, 568, 204, 23, 19, 21, 19, 1003, 12069, 10364, 4121, 38608, 226, 4121, 38608, 9760, 460, 37548, 4384, 2370, 2065, 4296, 14687, 3865, 2849, 2738, 21844, 568, 435, 19, 21, 19, 1641, 38608, 13573, 10633, 3622, 6713, 226, 4241, 2134, 2006, 2677, 6713, 2653, 7858, 38608, 17902, 2781, 26020, 16921, 408, 1367, 2678, 38608, 2134, 17902, 6848, 2860, 14781, 33428, 45624, 568, 4296, 28870, 12054, 41458, 725, 32534, 41458, 22, 19, 21, 11720, 19237, 99, 22, 19, 21, 11720, 25257, 20860, 226, 9863, 568, 204, 23, 19, 21, 19, 1258, 3883, 38608, 3622, 6713, 226, 1367, 9487, 11702, 27034, 38608, 2134, 17902, 6713, 408, 4296, 28870, 12054, 41458, 725, 32534, 41458, 2370, 33494, 22, 19, 21, 11720, 24745, 20860, 571, 4121, 38608, 1929, 32332, 2321, 11798, 6633, 24820, 2677, 5368, 8481, 2653, 204, 25, 19, 22, 19, 22, 4121, 38608, 8802, 32935, 2677, 39267, 2653, 24820, 10298, 6949, 7782, 25595, 6152, 725, 41398, 4769, 10166, 725, 9352, 2321, 4795, 2366, 725, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 12256, 41558, 2677, 33244, 12256, 41558, 2653, 460, 16341, 21319, 2065, 18259, 1955, 10298, 725, 12408, 2338, 6658, 21846, 568, 204, 25, 19, 22, 19, 23, 10298, 10435, 11338, 42204, 1003, 3217, 4049, 17145, 2436, 3058, 14655, 31391, 13506, 29228, 2934, 31727, 27117, 2370, 20859, 568, 17164, 22146, 20287, 6551, 10298, 2370, 3725, 9219, 16240, 568, 204, 25, 19, 23, 6713, 725, 5259, 2065, 13856, 681, 19, 23, 19, 22, 10298, 1262, 6713, 2370, 12239, 10971, 5659, 1984, 368, 12256, 41558, 1984, 24849, 9760, 2338, 22603, 20496, 2370, 12239, 4015, 4121, 38608, 12256, 41558, 35166, 12330, 4002, 56, 47, 20, 57, 22051, 3701, 20458, 408, 2823, 6472, 12069, 10364, 4121, 38608, 9760, 568, 2336, 32534, 2338, 12054, 41458, 1984, 3883, 38608, 3622, 12256, 1999, 31134, 41458, 5057, 2370, 22944, 22, 19, 21, 11720, 24745, 20860, 38608, 13573, 10633, 3622, 12256, 1999, 31134, 41458, 5057, 2370, 1189, 22, 19, 21, 11720, 24745, 99, 22, 19, 21, 11720, 27763, 20860, 568, 435, 3883, 2134, 9352, 1984, 2370, 854, 4438, 2321, 17571, 2114, 9352, 408, 41458, 5057, 2370, 33494, 12256, 1999, 31134, 41458, 5057, 408, 15865, 3455, 16161, 2370, 29228, 24, 11720, 24745, 51, 20, 82, 23, 571, 17515, 15501, 4906, 1984, 2370, 7452, 3788, 21161, 22897, 725, 2638, 13501, 21844, 725, 17784, 2114, 5844, 6713, 568, 681, 3883, 2134, 1773, 2704, 1262, 18583, 1793, 248, 1984, 29495, 2370, 1002, 33494, 21, 19, 24420, 99, 21, 19, 4779, 649, 19, 13489, 12431, 1189, 29, 99, 1036, 649, 568, 204, 25, 19, 23, 19, 23, 12256, 41558, 2370, 10941, 9358, 27117, 19083, 460, 36848, 1191, 408, 44954, 10000, 725, 27101, 18968, 4411, 20197, 2114, 16122, 568, 21342, 3523, 1398, 2370, 6829, 3589, 6829, 27305, 408, 7005, 13739, 29235, 2034, 23047, 8208, 568, 7005, 13739, 5031, 1638, 40648, 2544, 27769, 11928, 27564, 568, 204, 25, 19, 23, 19, 24, 42498, 10298, 5259, 2677, 7333, 13856, 2653, 2370, 7782, 2110, 23263, 1843, 408, 17515, 15501, 29377, 725, 23652, 8669, 248, 4684, 725, 18609, 17411, 725, 4268, 16182, 725, 13443, 2455, 725, 4348, 46430, 1843, 1955, 408, 2336, 24134, 408, 9760, 39788, 18543, 2370, 12239, 10298, 11485, 5659, 568, 720, 19, 24, 10298, 13250, 681, 19, 24, 19, 22, 23547, 4587, 10298, 5776, 2823, 39633, 10295, 10298, 10435, 3058, 204, 25, 19, 24, 19, 23, 16312, 10298, 9061, 408, 20760, 2366, 4121, 38608, 24820, 41398, 4769, 5776, 725, 41398, 7594, 2455, 5776, 1227, 1773, 2704, 37324, 5776, 568, 681, 19, 24, 19, 24, 6606, 10298, 11485, 5659, 3445, 14346, 8612, 10298, 6713, 725, 5259, 725, 13856, 725, 2823, 19075, 4224, 4021, 14346, 568, 204, 25, 19, 24, 19, 25, 12054, 13630, 29228, 2825, 309, 23, 2677, 7333, 2825, 309, 23, 2653, 1398, 408, 921, 15244, 10298, 2426, 2370, 3500, 22982, 2114, 15335, 2122, 568, 681, 19, 24, 19, 26, 10298, 30986, 2370, 12239, 21131, 5659, 1984, 368, 25595, 24820, 1189, 23510, 24820, 2860, 2321, 11798, 6633, 24820, 1398, 1984, 368, 2653, 24820, 2370, 18753, 408, 2370, 2499, 24820, 7858, 3468, 16217, 725, 15865, 1990, 8747, 1955, 18816, 9396, 2654, 28450, 24817, 568, 435, 2653, 24820, 2370, 44504, 408, 1262, 23, 6377, 4615, 16182, 10717, 408, 2436, 29193, 2370, 33494, 23, 649, 568, 10732, 942, 43527, 33295, 1002, 3004, 2860, 942, 16791, 30089, 17991, 7965, 8461, 3004, 568, 571, 2653, 24820, 2370, 19083, 408, 10732, 1189, 7386, 5784, 24820, 2370, 4239, 1531, 27829, 6152, 568, 681, 2653, 1999, 5784, 2370, 8270, 11369, 37233, 18157, 408, 46740, 16161, 2370, 1002, 22944, 3534, 5485, 568, 435, 25595, 24820, 1189, 19104, 2677, 7819, 19104, 725, 42049, 725, 17515, 1955, 2653, 1398, 408, 2370, 19740, 5277, 3854, 19104, 408, 2823, 2370, 26043, 38626, 24820, 7858, 18816, 8056, 15865, 1990, 2654, 568, 204, 24, 10298, 10435, 2370, 28283, 15713, 27061, 16167, 568, 204, 25, 19, 24, 19, 27, 13363, 41398, 7594, 2455, 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, 13491, 1984, 13630, 921, 2825, 309, 23, 46058, 408, 41398, 7594, 2455, 2370, 14726, 1638, 22, 1377, 408, 13630, 4126, 9145, 2825, 82, 23, 408, 2370, 4129, 2122, 41398, 7594, 2455, 22, 3217, 23, 1377, 568, 681, 19, 24, 19, 28, 10298, 2426, 2370, 26043, 4709, 19211, 25595, 24820, 408, 24820, 1390, 13506, 8056, 942, 17171, 30929, 725, 12530, 6642, 1955, 21977, 2654, 568, 681, 19, 25, 10298, 681, 19, 25, 19, 22, 5762, 2093, 3354, 4084, 3491, 408, 2370, 4530, 24759, 5523, 4805, 28353, 13224, 13363, 568, 681, 19, 25, 19, 23, 2370, 6395, 1773, 2704, 37324, 5776, 47433, 3883, 2134, 18583, 1793, 248, 2704, 3598, 568, 18583, 1793, 248, 460, 24937, 19600, 42442, 2615, 408, 2370, 18276, 12256, 1999, 31134, 6841, 13491, 568, 18583, 1793, 248, 4906, 460, 47433, 2370, 3004, 4268, 408, 13506, 16102, 12078, 408, 12722, 2411, 2436, 5548, 568, 2065, 41398, 7594, 2455, 14541, 460, 18583, 1793, 248, 4906, 2370, 8056, 942, 22867, 28229, 568, 25, 19, 25, 19, 24, 17125, 3883, 2134, 9352, 1984, 2499, 20660, 8766, 1227, 9352, 2321, 2370, 6395, 22, 1984, 2051, 26994, 2807, 17125, 408, 2823, 27365, 22897, 568, 681, 19, 25, 19, 25, 13443, 9352, 1984, 2370, 14115, 921, 24820, 725, 3725, 16341, 21319, 460, 3883, 2134, 18583, 40907, 25009, 408, 12256, 1999, 31134, 5673, 1999, 5718, 11515, 45369, 3883, 2134, 9352, 568, 11515, 15115, 2370, 22897, 725, 11962, 408, 11515, 15115, 1946, 9754, 2369, 128, 5759, 568, 681, 19, 25, 19, 26, 16341, 12256, 12256, 41558, 1984, 8446, 11515, 942, 3883, 2134, 9352, 460, 12256, 41558, 2369, 128, 5759, 4228, 1002, 15865, 3304, 1398, 408, 2370, 21732, 6776, 16341, 12256, 568, 16341, 12256, 1398, 2370, 2499, 12256, 1999, 31134, 4004, 4268, 7217, 6760, 1603, 4084, 3354, 4084, 3491, 408, 16341, 12256, 2370, 18710, 35804, 568, 4661, 2065, 4661, 9863, 2370, 8056, 942, 22, 3217, 23, 649, 17613, 29193, 408, 17613, 29193, 13489, 2148, 2370, 11017, 9219, 21844, 568, 1262, 23652, 2524, 103, 22897, 35801, 4348, 4661, 1999, 408, 6760, 16341, 12256, 6760, 10717, 408, 11999, 15865, 12256, 43771, 568, 24820, 34681, 3541, 6883, 4438, 6770, 12256, 41558, 16341, 12256, 8461, 14346, 408, 4438, 6770, 12256, 41558, 1262, 18609, 17411, 27227, 30627, 568, 681, 19, 25, 19, 27, 2891, 16341, 12256, 1524, 41398, 7594, 2455, 3541, 1398, 408, 2370, 4239, 2499, 14541, 41398, 7594, 19459, 18583, 1793, 248, 4906, 5146, 1670, 408, 1262, 30987, 15501, 2860, 4758, 3190, 20244, 2065, 41398, 7594, 2455, 43771, 6128, 3455, 568, 4762, 11409, 16341, 12256, 41558, 568, 681, 19, 25, 19, 28, 12319, 24759, 16341, 12256, 33313, 1946, 408, 2370, 4239, 12256, 41558, 3190, 17613, 3541, 1262, 2110, 23263, 1843, 2110, 24309, 23263, 568, 23263, 3491, 2370, 3004, 4268, 725, 22897, 408, 23263, 13489, 25, 28715, 21, 19, 2898, 649, 1189, 12431, 568, 681, 19, 25, 19, 29, 6883, 17515, 15501, 29377, 921, 24309, 23263, 3541, 3590, 4250, 9777, 24309, 408, 2678, 4661, 2065, 4661, 6128, 1579, 15493, 568, 24309, 1689, 9396, 2654, 6883, 3178, 17411, 18609, 3004, 408, 3038, 13506, 5762, 9230, 12256, 41558, 12054, 568, 681, 19, 25, 19, 30, 41398, 4769, 10298, 2370, 7782, 11515, 3883, 2134, 9352, 5784, 725, 3883, 2134, 18583, 1793, 248, 1773, 2704, 725, 41398, 18583, 1793, 248, 725, 41398, 7594, 2455, 725, 41398, 5146, 1926, 3491, 725, 41398, 2006, 1955, 6949, 568, 5277, 2183, 9466, 8840, 2638, 408, 43845, 2370, 12239, 2183, 12330, 24, 19, 25, 19, 25, 65, 24, 19, 25, 19, 26, 4906, 8840, 568, 681, 19, 25, 19, 1003, 16341, 12256, 17554, 47729, 408, 2499, 24820, 18753, 24817, 408, 2823, 2370, 11515, 15115, 4121, 38608, 46430, 8792, 568, 204, 25, 19, 26, 19, 22, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 24820, 10822, 23428, 2370, 2098, 2183, 12330, 3336, 24, 19, 26, 19, 22, 4906, 990, 42498, 10822, 3708, 3401, 1001, 2356, 5659, 568, 681, 19, 26, 19, 23, 12408, 5932, 1984, 11338, 42204, 1909, 3217, 2188, 17145, 2436, 3058, 14655, 31391, 33494, 3894, 10, 681, 19, 26, 19, 24, 4121, 38608, 8802, 32935, 2677, 39267, 2653, 1773, 14794, 12054, 41458, 5057, 1227, 4769, 41458, 5057, 2370, 7452, 10971, 19769, 7371, 1984, 368, 12054, 41458, 460, 19769, 1984, 2370, 2499, 12319, 4121, 38608, 24820, 48316, 1579, 23, 3217, 25, 309, 23, 19769, 12399, 408, 42945, 15789, 4472, 2188, 10, 3217, 1719, 10, 460, 19769, 12399, 408, 2499, 4004, 2134, 5881, 14115, 5031, 1638, 12256, 41558, 12054, 408, 5881, 2436, 11654, 17244, 649, 408, 2134, 5881, 2065, 12256, 1999, 31134, 16081, 2370, 20859, 568, 921, 15789, 4472, 460, 23, 3217, 25, 309, 23, 460, 12399, 2386, 2370, 4852, 1670, 25, 3217, 29, 1377, 2642, 5057, 408, 2823, 1531, 16302, 568, 435, 4769, 41458, 460, 19769, 1984, 42204, 11654, 3359, 41398, 7594, 2455, 16607, 12399, 408, 42945, 15789, 4472, 43642, 2615, 408, 2370, 2499, 831, 2134, 5881, 2065, 12256, 41558, 12054, 20859, 16081, 408, 15881, 2134, 5881, 2370, 2065, 41398, 7594, 2455, 2738, 6128, 3455, 408, 4852, 1670, 4769, 41458, 5057, 408, 2823, 1531, 16302, 568, 571, 6658, 6256, 2093, 7371, 9302, 6395, 4015, 10539, 8898, 10717, 2698, 2642, 15789, 3411, 11514, 2338, 15789, 3411, 2949, 4002, 5709, 4023, 4023, 8840, 12023, 568, 681, 19, 26, 19, 25, 2134, 9760, 18543, 2370, 12239, 10971, 5659, 1984, 226, 43224, 5659, 6472, 3883, 38608, 28957, 408, 2336, 12054, 41458, 1227, 4769, 41458, 5057, 22944, 22, 19, 21, 11720, 24745, 20860, 32, 226, 381, 246, 5659, 6472, 38608, 13573, 10633, 28957, 408, 2336, 12054, 41458, 1227, 4769, 41458, 5057, 921, 22, 19, 21, 11720, 19237, 99, 22, 19, 21, 11720, 27763, 20860, 9863, 568, 226, 381, 247, 4769, 41398, 41458, 5057, 2370, 11572, 4587, 5659, 568, 204, 25, 19, 26, 19, 26, 22603, 9760, 2370, 12239, 10971, 5659, 1984, 368, 1002, 1227, 942, 4276, 14605, 725, 1789, 5784, 725, 45546, 16791, 16038, 3058, 435, 3079, 13415, 43527, 33295, 1002, 3004, 3058, 571, 3079, 13415, 5762, 30089, 3058, 681, 3079, 13415, 3788, 7658, 568, 681, 19, 26, 19, 27, 6436, 3190, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 24820, 10822, 460, 8255, 408, 2370, 3571, 11004, 6233, 24051, 460, 6472, 46584, 17621, 12408, 11713, 2537, 27538, 33779, 7436, 26409, 34444, 204, 0, 647, 9921, 19, 8430, 204, 531, 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, 9921, 19, 8430, 532, 7252, 204, 531, 1498, 532, 783, 17, 1884, 17, 1535, 204, 204, 8, 4053, 6752, 204, 14483, 68, 5811, 289, 388, 14483, 12377, 11544, 12804, 13, 16162, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 13287, 204, 18344, 68, 5811, 289, 388, 18344, 11544, 17899, 1576, 21451, 88, 17, 2297, 21451, 88, 17, 11544, 16923, 21451, 88, 17, 12163, 1949, 21451, 88, 8888, 1236, 21451, 88, 7, 204, 16908, 68, 5811, 289, 388, 16908, 7281, 11544, 8888, 1236, 289, 1564, 88, 7, 204, 7097, 68, 5811, 289, 388, 7097, 1236, 17, 1576, 17, 2297, 17, 11544, 16923, 17, 12163, 1949, 7281, 11544, 7, 204, 7097, 68, 5811, 68, 60, 8400, 289, 15754, 68, 5811, 465, 388, 8888, 1236, 289, 1564, 88, 7, 204, 204, 676, 27609, 46109, 31, 204, 264, 320, 204, 264, 1594, 12003, 7730, 348, 27609, 9873, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1727, 68, 5108, 330, 204, 268, 320, 204, 268, 1865, 275, 27609, 46109, 440, 273, 1727, 5089, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1727, 68, 5108, 31, 334, 1727, 5089, 311, 732, 348, 1104, 2758, 19, 204, 268, 320, 204, 268, 370, 19, 2602, 68, 5108, 289, 1727, 68, 5108, 204, 204, 264, 436, 4482, 68, 19145, 68, 1271, 13, 327, 17, 1576, 31, 394, 17, 2297, 31, 818, 17, 11544, 68, 765, 31, 421, 17, 12163, 68, 1949, 31, 818, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 17327, 273, 717, 11544, 1184, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1576, 322, 325, 330, 334, 1576, 302, 275, 11544, 1184, 19, 204, 268, 338, 2297, 322, 996, 330, 334, 2297, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 765, 322, 339, 330, 334, 11544, 1040, 302, 275, 11544, 1184, 19, 204, 268, 338, 12163, 68, 1949, 322, 996, 330, 334, 12163, 2233, 302, 275, 11544, 1184, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 13140, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 1181, 17, 2297, 17, 11544, 68, 765, 17, 12163, 68, 1949, 14, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 14483, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 18740, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 1395, 68, 19145, 68, 1271, 13, 327, 17, 1576, 31, 394, 17, 2297, 31, 818, 17, 11544, 68, 765, 31, 421, 17, 12163, 68, 1949, 31, 818, 17, 11544, 68, 359, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 5307, 437, 4449, 11544, 1184, 292, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1576, 322, 325, 330, 334, 1576, 302, 275, 11544, 1184, 19, 204, 268, 338, 2297, 322, 996, 330, 334, 2297, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 765, 322, 339, 330, 334, 11544, 1040, 302, 275, 11544, 1184, 19, 204, 268, 338, 12163, 68, 1949, 322, 996, 330, 334, 12163, 2233, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 1395, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 1395, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 1181, 17, 2297, 17, 11544, 68, 765, 17, 12163, 68, 1949, 17, 11544, 68, 359, 14, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 18344, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 9683, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 4032, 68, 19145, 68, 1271, 13, 327, 17, 11544, 68, 359, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 11183, 273, 11544, 1184, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 4032, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 13052, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 19145, 68, 359, 16391, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 16908, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 12629, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 2694, 68, 19145, 68, 1996, 13, 327, 17, 11544, 68, 359, 31, 1535, 64, 339, 66, 289, 443, 14, 393, 783, 64, 2983, 744, 204, 268, 320, 204, 268, 4071, 273, 11544, 1184, 521, 830, 11544, 2696, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 3686, 19, 828, 443, 17, 21030, 830, 11544, 2696, 19, 204, 204, 268, 475, 31, 204, 268, 338, 783, 64, 2983, 744, 332, 458, 302, 5760, 1174, 275, 11544, 1184, 424, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 273, 1727, 497, 275, 1727, 5089, 204, 305, 5828, 289, 370, 19, 2602, 68, 5108, 19, 505, 68, 2602, 374, 204, 305, 3370, 289, 5828, 19, 4322, 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, 305, 397, 11544, 68, 359, 353, 443, 31, 204, 485, 314, 5635, 275, 4053, 1484, 311, 3686, 830, 11544, 2696, 204, 485, 3370, 19, 4118, 13, 7097, 68, 5811, 14, 204, 305, 902, 31, 204, 485, 314, 5635, 275, 4053, 1484, 311, 3686, 273, 2824, 11544, 1184, 204, 485, 3370, 19, 4118, 13, 7097, 68, 5811, 68, 60, 8400, 17, 322, 19145, 68, 359, 11451, 204, 305, 314, 6579, 830, 3015, 497, 275, 1484, 722, 204, 305, 3015, 289, 3370, 19, 13208, 374, 204, 305, 407, 3015, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 14056, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 305, 397, 379, 6519, 12, 292, 24650, 1293, 204, 485, 5828, 19, 3529, 374, 204, 204, 264, 436, 906, 4118, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 2042, 31, 927, 330, 204, 268, 320, 204, 268, 18155, 273, 4053, 1484, 974, 275, 1727, 5089, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 268, 338, 2042, 322, 2644, 330, 334, 1906, 348, 275, 4053, 1484, 19, 204, 268, 320, 204, 268, 314, 763, 273, 1727, 497, 275, 1727, 5089, 204, 268, 5828, 289, 370, 19, 2602, 68, 5108, 19, 505, 68, 2602, 374, 204, 268, 810, 31, 204, 305, 314, 666, 273, 3370, 726, 204, 305, 3370, 289, 5828, 19, 4322, 374, 204, 305, 314, 5635, 275, 4053, 1484, 204, 305, 3370, 19, 4118, 13, 2120, 17, 2042, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 14026, 1484, 31, 463, 74, 743, 204, 305, 314, 32166, 275, 3731, 204, 305, 5828, 19, 19398, 374, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 305, 397, 379, 6519, 12, 292, 24650, 1293, 204, 485, 5828, 19, 3529, 374, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1727, 5089, 204, 264, 1727, 68, 5108, 289, 9921, 19, 8430, 19, 25432, 19, 30878, 7884, 13, 204, 268, 5089, 68, 417, 1022, 19145, 68, 5108, 528, 204, 268, 5089, 68, 835, 34, 26, 17, 204, 268, 2442, 1022, 7714, 528, 204, 268, 1104, 1022, 19145, 68, 1479, 528, 204, 268, 575, 1022, 19145, 68, 816, 528, 204, 268, 1482, 1022, 19145, 68, 1989, 7, 204, 264, 1179, 204, 204, 264, 314, 666, 273, 27609, 46109, 726, 204, 264, 11544, 68, 21238, 289, 27609, 46109, 13, 2602, 68, 5108, 14, 204, 204, 264, 314, 6461, 273, 717, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 5021, 68, 19145, 68, 1271, 499, 1181, 22, 528, 931, 19, 2418, 17, 1607, 17, 500, 19, 22, 14, 204, 204, 264, 314, 1716, 437, 4449, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 2045, 68, 19145, 68, 1271, 499, 1181, 22, 528, 2958, 19, 2418, 17, 1607, 17, 500, 19, 22, 17, 368, 14, 204, 204, 264, 314, 6117, 273, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 2756, 68, 19145, 68, 1271, 13, 22, 14, 204, 204, 264, 314, 4491, 830, 11544, 2696, 204, 264, 11544, 68, 1996, 289, 11544, 68, 21238, 19, 4637, 68, 19145, 68, 1996, 374, 204, 264, 456, 13, 19145, 68, 1996, 14, 204, 204, 264, 314, 4491, 273, 2824, 11544, 1184, 204, 264, 11544, 68, 1271, 289, 11544, 68, 21238, 19, 4637, 68, 19145, 68, 1996, 13, 22, 14, 204, 264, 456, 13, 19145, 68, 1271, 14, 204, 0, 647, 4104, 204, 647, 304, 204, 647, 5503, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 461, 1151, 68, 492, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 4143, 273, 1068, 510, 329, 2584, 273, 458, 302, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1068, 510, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 2238, 292, 275, 1068, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 329, 407, 275, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 9872, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 2462, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 3404, 68, 1054, 68, 10247, 68, 2489, 13, 1054, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 21663, 273, 1007, 1025, 273, 458, 302, 2159, 19, 204, 204, 264, 457, 31, 204, 268, 1007, 322, 325, 330, 334, 1007, 311, 3404, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 2159, 292, 275, 1007, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 3404, 275, 1007, 1025, 2159, 204, 264, 407, 551, 750, 348, 1142, 292, 304, 19, 1590, 7708, 60, 17152, 1007, 14, 397, 1142, 66, 204, 204, 461, 1813, 68, 1538, 68, 2170, 68, 750, 13, 2489, 31, 783, 64, 325, 648, 1029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 1029, 1142, 292, 273, 458, 302, 2159, 329, 2584, 275, 1068, 1877, 490, 19, 204, 204, 264, 457, 31, 204, 268, 2159, 322, 1218, 64, 325, 1037, 334, 458, 302, 2159, 311, 1813, 19, 204, 268, 1029, 322, 325, 330, 334, 1029, 1142, 311, 1813, 348, 19, 204, 204, 264, 475, 31, 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, 394, 31, 334, 1068, 1877, 275, 1029, 1142, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1752, 275, 1112, 302, 275, 1029, 1142, 329, 407, 275, 1068, 1877, 490, 204, 268, 1112, 289, 2159, 19, 998, 13, 2170, 14, 204, 268, 407, 379, 3759, 1541, 13, 2489, 64, 998, 465, 368, 10101, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 1029, 1142, 353, 508, 1193, 204, 268, 407, 5607, 204, 204, 461, 1900, 68, 359, 68, 417, 68, 8363, 13, 204, 264, 1068, 68, 2604, 31, 783, 64, 325, 648, 716, 264, 4104, 68, 553, 68, 546, 31, 394, 17, 716, 264, 919, 68, 553, 68, 546, 31, 394, 289, 379, 873, 1701, 2687, 491, 716, 264, 9336, 31, 394, 289, 42659, 204, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 6071, 273, 955, 302, 3918, 4192, 311, 1987, 329, 2584, 490, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 68, 2604, 322, 1218, 64, 325, 1037, 334, 2238, 497, 275, 1068, 510, 19, 204, 268, 4104, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 268, 919, 68, 553, 68, 546, 322, 325, 17, 1448, 330, 334, 832, 311, 275, 919, 510, 19, 1243, 311, 379, 873, 1701, 2687, 2625, 204, 268, 9336, 322, 325, 17, 1448, 330, 334, 9336, 311, 732, 19, 1243, 311, 32142, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 302, 3918, 4192, 311, 1987, 19, 204, 264, 320, 204, 264, 1276, 68, 417, 68, 2850, 289, 2087, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 3496, 204, 268, 440, 1451, 13, 2039, 68, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 305, 6686, 289, 4104, 19, 29180, 13, 2039, 68, 553, 14, 204, 305, 3496, 289, 6686, 19, 44293, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 1068, 510, 204, 305, 348, 1007, 292, 1068, 68, 2604, 31, 204, 485, 2159, 289, 3404, 68, 1054, 68, 10247, 68, 2489, 13, 1054, 14, 204, 485, 314, 1861, 1048, 848, 3494, 292, 275, 2306, 510, 204, 485, 348, 3494, 292, 3496, 31, 204, 895, 314, 778, 397, 275, 3494, 353, 292, 275, 2159, 204, 895, 397, 3494, 19, 5231, 374, 292, 2159, 31, 204, 2058, 314, 6994, 348, 275, 1029, 1142, 329, 636, 275, 588, 204, 2058, 588, 289, 1813, 68, 1538, 68, 2170, 68, 750, 13, 2489, 17, 3494, 19, 5231, 1447, 204, 2058, 314, 1255, 275, 1222, 329, 588, 311, 275, 955, 204, 2058, 1276, 68, 417, 68, 2850, 64, 4603, 66, 289, 588, 204, 268, 407, 1276, 68, 417, 68, 2850, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 2306, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 2462, 3318, 2039, 68, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 8363, 68, 633, 68, 553, 13, 8363, 31, 1061, 64, 325, 17, 394, 648, 510, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 273, 955, 311, 273, 510, 974, 5503, 19, 204, 204, 264, 457, 31, 204, 268, 955, 322, 1665, 64, 325, 17, 394, 1037, 334, 955, 311, 2281, 19, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 2510, 2281, 2291, 329, 10316, 275, 955, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 9220, 534, 448, 510, 31, 204, 305, 5503, 19, 4573, 13, 8363, 17, 510, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 4695, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 6944, 275, 2548, 19, 204, 264, 320, 204, 264, 532, 2454, 204, 264, 314, 778, 397, 275, 1706, 542, 302, 1906, 529, 1917, 204, 264, 397, 571, 2186, 1245, 13, 4807, 19, 4983, 14, 2186, 681, 31, 204, 268, 1068, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 22, 66, 204, 268, 4104, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 23, 66, 204, 268, 919, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 24, 66, 397, 1245, 13, 4807, 19, 4983, 14, 564, 681, 902, 379, 873, 1701, 2687, 12, 204, 268, 314, 1606, 275, 1068, 510, 204, 268, 1068, 68, 2604, 289, 1151, 68, 492, 68, 553, 13, 492, 68, 553, 68, 546, 14, 204, 268, 314, 2069, 275, 1222, 588, 955, 204, 268, 955, 289, 1900, 68, 359, 68, 417, 68, 8363, 13, 492, 68, 2604, 17, 4104, 68, 553, 68, 546, 17, 919, 68, 553, 68, 546, 14, 204, 268, 314, 3400, 275, 955, 311, 273, 510, 204, 268, 2281, 68, 8363, 68, 633, 68, 553, 13, 8363, 17, 919, 68, 553, 68, 546, 14, 204, 268, 456, 499, 20819, 431, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 542, 302, 1906, 431, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 676, 6109, 45800, 31, 204, 264, 436, 4794, 68, 9709, 13, 327, 17, 394, 22, 31, 394, 17, 394, 23, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9761, 970, 3157, 311, 6626, 275, 38360, 4794, 722, 19, 204, 204, 268, 457, 31, 204, 268, 394, 22, 322, 325, 330, 334, 1043, 782, 19, 204, 268, 394, 23, 322, 325, 330, 334, 1350, 782, 19, 204, 204, 268, 475, 31, 204, 268, 394, 31, 334, 6116, 782, 19, 204, 268, 320, 204, 822, 268, 314, 3301, 1322, 31, 397, 1855, 3157, 529, 1392, 17, 407, 437, 1392, 782, 204, 268, 397, 508, 394, 22, 329, 508, 394, 23, 31, 204, 305, 407, 3026, 204, 204, 268, 314, 828, 1051, 302, 275, 3157, 353, 1392, 17, 407, 275, 904, 782, 204, 268, 397, 508, 394, 22, 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, 407, 394, 23, 204, 268, 397, 508, 394, 23, 31, 204, 305, 407, 394, 22, 204, 204, 268, 314, 8139, 275, 790, 2724, 302, 1855, 3157, 204, 268, 314, 828, 275, 790, 1943, 302, 394, 22, 353, 38360, 5658, 17, 716, 268, 314, 6879, 490, 440, 275, 3022, 302, 275, 6116, 3157, 204, 268, 397, 394, 22, 1323, 394, 23, 31, 204, 305, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 822, 268, 314, 828, 275, 790, 1943, 302, 394, 23, 353, 38360, 5658, 17, 716, 268, 314, 6879, 490, 440, 275, 3022, 302, 275, 6116, 3157, 204, 268, 1677, 394, 23, 1323, 394, 22, 31, 204, 305, 407, 394, 23, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 17, 394, 23, 64, 22, 10101, 204, 822, 268, 314, 828, 275, 790, 2724, 529, 1936, 17, 5408, 275, 3022, 302, 275, 3157, 204, 268, 902, 31, 204, 305, 314, 828, 275, 3022, 302, 394, 22, 353, 38360, 5658, 17, 6879, 275, 790, 1943, 302, 394, 22, 204, 305, 397, 394, 22, 64, 22, 5853, 1323, 394, 23, 64, 22, 15136, 204, 485, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 305, 314, 828, 275, 3022, 302, 394, 23, 353, 38360, 5658, 17, 6879, 275, 790, 1943, 302, 394, 23, 204, 305, 1677, 394, 23, 64, 22, 5853, 1323, 394, 22, 64, 22, 15136, 204, 485, 407, 394, 23, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 17, 394, 23, 64, 22, 10101, 204, 305, 314, 828, 275, 3022, 302, 1855, 3157, 529, 1936, 17, 6879, 275, 790, 2724, 204, 305, 902, 31, 204, 485, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 204, 8, 1165, 1265, 31, 204, 1652, 727, 289, 6109, 45800, 374, 204, 2102, 13, 1652, 727, 19, 12680, 68, 9709, 499, 9525, 528, 388, 461, 3687, 226, 314, 3215, 31, 388, 461, 9525, 7, 204, 2102, 13, 1652, 727, 19, 12680, 68, 9709, 499, 9525, 528, 388, 37261, 3687, 226, 314, 3215, 31, 388, 37261, 9525, 7, 204, 0, 676, 33169, 7279, 31, 204, 264, 320, 204, 264, 332, 850, 311, 949, 4016, 8598, 329, 2811, 933, 1066, 6752, 19, 204, 204, 264, 1532, 31, 204, 268, 4016, 68, 1303, 322, 655, 64, 339, 1037, 334, 4016, 1066, 1348, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1348, 31, 458, 64, 339, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 33169, 7279, 850, 440, 437, 1348, 302, 1892, 19, 204, 204, 268, 457, 31, 204, 305, 1348, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 1348, 353, 508, 273, 458, 521, 3192, 1950, 18, 4649, 1019, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 1348, 353, 1097, 204, 268, 397, 508, 2381, 13, 643, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 93, 17, 421, 14, 348, 610, 292, 1348, 330, 204, 305, 980, 987, 499, 3383, 1348, 1631, 444, 273, 458, 302, 1892, 431, 204, 204, 268, 314, 977, 275, 4016, 1066, 1348, 204, 268, 370, 19, 4830, 68, 1303, 289, 370, 806, 3446, 68, 4830, 68, 1303, 13, 643, 14, 204, 204, 264, 436, 906, 3446, 68, 4830, 68, 1303, 13, 327, 17, 1348, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 3989, 275, 4016, 1066, 1348, 19, 204, 204, 268, 457, 31, 204, 305, 1348, 322, 655, 64, 339, 1037, 334, 537, 1348, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 334, 4016, 1066, 1348, 19, 204, 268, 320, 204, 268, 314, 977, 275, 4016, 1066, 1348, 440, 7152, 204, 268, 4016, 68, 1303, 289, 551, 21, 66, 540, 1245, 13, 643, 14, 204, 204, 268, 314, 888, 275, 4016, 1066, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 643, 4019, 204, 305, 397, 296, 564, 500, 31, 204, 485, 4016, 68, 1303, 64, 78, 66, 289, 1348, 64, 78, 66, 204, 305, 902, 31, 204, 485, 4016, 68, 1303, 64, 78, 66, 289, 4016, 68, 1303, 64, 78, 338, 368, 66, 465, 1348, 64, 78, 66, 204, 204, 268, 407, 4016, 68, 1303, 204, 204, 264, 436, 636, 68, 1303, 13, 327, 17, 1012, 31, 421, 17, 1136, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1066, 302, 275, 1348, 497, 275, 1012, 311, 275, 1136, 14368, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 322, 339, 330, 334, 1012, 1112, 322, 10711, 789, 204, 305, 1136, 322, 339, 330, 334, 1136, 1112, 322, 10711, 789, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1066, 302, 275, 1348, 497, 275, 1012, 311, 275, 1136, 14368, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 1012, 521, 1136, 1112, 353, 685, 302, 933, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1012, 329, 1136, 14368, 529, 1097, 204, 268, 397, 1012, 962, 500, 521, 1136, 3721, 1245, 13, 327, 19, 4830, 68, 1303, 14, 521, 1012, 1323, 1136, 31, 204, 305, 980, 9394, 499, 7820, 521, 1136, 1112, 353, 685, 302, 933, 431, 204, 204, 268, 314, 888, 275, 1066, 974, 275, 4016, 1066, 1348, 204, 268, 397, 1012, 564, 500, 31, 204, 305, 407, 370, 19, 4830, 68, 1303, 64, 409, 66, 204, 268, 902, 31, 204, 305, 407, 370, 19, 4830, 68, 1303, 64, 409, 66, 338, 370, 19, 4830, 68, 1303, 64, 1530, 338, 368, 66, 204, 204, 264, 436, 3192, 68, 1303, 13, 327, 17, 1029, 68, 1303, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 275, 1348, 3192, 275, 1029, 1066, 17, 1078, 2130, 19, 204, 204, 268, 457, 31, 204, 305, 1029, 68, 1303, 322, 339, 330, 334, 1029, 1066, 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, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 1348, 3192, 275, 1029, 1066, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1029, 1066, 353, 437, 1534, 204, 268, 397, 508, 2381, 13, 2170, 68, 1303, 17, 421, 330, 204, 305, 980, 3660, 499, 12118, 1066, 1631, 444, 437, 1534, 431, 204, 204, 268, 314, 1974, 273, 758, 311, 1640, 275, 4016, 8598, 348, 6184, 11936, 204, 268, 4016, 68, 10089, 289, 758, 374, 204, 268, 348, 1066, 68, 1271, 292, 370, 19, 4830, 68, 1303, 31, 204, 305, 397, 1066, 68, 1271, 338, 1029, 68, 1303, 292, 4016, 68, 10089, 31, 204, 485, 407, 959, 204, 305, 4016, 68, 10089, 19, 826, 13, 1303, 68, 1271, 14, 204, 204, 268, 407, 1078, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 1348, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 66, 204, 264, 4016, 68, 1303, 289, 33169, 7279, 13, 643, 14, 204, 264, 456, 13, 4830, 68, 1303, 19, 505, 68, 1303, 13, 22, 17, 571, 602, 226, 314, 3215, 31, 1233, 204, 264, 456, 13, 4830, 68, 1303, 19, 12930, 68, 1303, 13, 30, 602, 226, 314, 3215, 31, 959, 204, 0, 676, 42188, 1218, 31, 204, 264, 320, 204, 264, 332, 850, 311, 4204, 273, 311, 18, 2663, 458, 19, 204, 204, 264, 1532, 31, 204, 268, 4625, 322, 655, 330, 332, 458, 302, 4625, 292, 275, 311, 18, 2663, 458, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1392, 311, 18, 2663, 458, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 458, 311, 1640, 4625, 204, 268, 370, 19, 6381, 31, 458, 64, 325, 66, 289, 1306, 204, 204, 264, 436, 881, 68, 2607, 13, 327, 17, 1781, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 1781, 311, 275, 311, 18, 2663, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1781, 322, 325, 330, 334, 1781, 311, 444, 4327, 19, 204, 268, 320, 204, 268, 314, 1255, 275, 1781, 311, 275, 458, 204, 268, 370, 19, 6381, 19, 1223, 13, 2607, 14, 204, 204, 264, 436, 4032, 68, 2607, 13, 327, 17, 1781, 68, 998, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 273, 1781, 497, 275, 311, 18, 2663, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1781, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 1781, 311, 444, 8143, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 1781, 1112, 353, 685, 302, 933, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1781, 1112, 353, 2614, 275, 1097, 933, 204, 268, 397, 1781, 68, 998, 962, 500, 521, 1781, 68, 998, 3721, 1245, 13, 327, 19, 6381, 330, 204, 305, 980, 9394, 499, 7289, 1112, 353, 685, 302, 933, 431, 204, 268, 314, 6117, 275, 1781, 630, 275, 1713, 1112, 204, 268, 6924, 370, 19, 6381, 64, 2607, 68, 998, 66, 204, 204, 264, 436, 2013, 68, 6381, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 4625, 292, 275, 311, 18, 2663, 458, 19, 204, 268, 320, 204, 268, 314, 1198, 848, 1781, 292, 275, 458, 204, 268, 348, 1112, 17, 1781, 292, 3209, 13, 327, 19, 6381, 330, 204, 305, 456, 13, 75, 1954, 998, 465, 368, 3572, 463, 2607, 743, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 311, 18, 2663, 458, 204, 264, 11667, 68, 655, 289, 42188, 1218, 374, 204, 615, 264, 314, 1255, 4625, 311, 275, 458, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 32206, 20941, 46078, 431, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 5058, 5088, 41380, 431, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 21205, 275, 4308, 431, 204, 615, 264, 314, 9845, 4625, 292, 275, 458, 204, 264, 456, 499, 40915, 2212, 204, 264, 11667, 68, 655, 19, 1529, 68, 6381, 374, 204, 615, 264, 314, 6117, 273, 1781, 497, 275, 458, 204, 264, 11667, 68, 655, 19, 2756, 68, 2607, 13, 22, 14, 204, 615, 264, 314, 9845, 4625, 292, 275, 458, 1877, 13052, 204, 264, 456, 3273, 83, 40915, 1877, 13052, 2212, 204, 264, 11667, 68, 655, 19, 1529, 68, 6381, 374, 204, 0, 531, 4433, 532, 824, 17, 4123, 17, 1779, 68, 1538, 17, 2111, 68, 3143, 204, 531, 27289, 19, 2918, 532, 10390, 68, 2029, 204, 647, 1127, 204, 647, 424, 68, 2754, 204, 204, 461, 636, 68, 816, 68, 359, 13, 2574, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 4071, 275, 575, 1222, 497, 275, 1104, 1609, 523, 275, 1917, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 3686, 275, 1222, 348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 1222, 3610, 440, 275, 1917, 2143, 19, 204, 264, 320, 204, 264, 407, 424, 68, 2754, 19, 505, 68, 816, 68, 359, 68, 1424, 68, 2574, 13, 2574, 14, 204, 204, 461, 2106, 68, 935, 13, 553, 17, 5991, 68, 3810, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 9716, 275, 1917, 752, 510, 311, 275, 1713, 5991, 4622, 19, 204, 204, 264, 457, 31, 204, 268, 510, 31, 334, 752, 510, 311, 2106, 19, 204, 268, 5991, 68, 3810, 322, 325, 330, 334, 4622, 311, 2106, 275, 752, 292, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2049, 302, 275, 6467, 752, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 510, 353, 1917, 329, 869, 273, 2049, 204, 264, 397, 510, 329, 510, 19, 2029, 31, 204, 268, 2049, 289, 10390, 68, 2029, 13, 553, 19, 2029, 14, 204, 268, 510, 19, 2360, 13, 865, 19, 546, 19, 1541, 13, 7488, 68, 3810, 17, 2049, 602, 204, 268, 407, 2049, 204, 264, 407, 3026, 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, 838, 68, 1957, 68, 6008, 13, 2574, 31, 394, 17, 1724, 31, 394, 17, 943, 31, 394, 17, 752, 31, 394, 289, 11070, 393, 1135, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 2717, 955, 440, 275, 1917, 3695, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 4141, 275, 2717, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 2717, 19, 204, 268, 943, 322, 325, 330, 334, 943, 302, 275, 2717, 19, 204, 268, 752, 322, 325, 17, 1448, 330, 334, 2049, 302, 275, 752, 3610, 440, 275, 2717, 19, 1243, 311, 13080, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 2457, 275, 717, 2717, 19, 204, 264, 320, 204, 264, 575, 68, 359, 289, 636, 68, 816, 68, 359, 13, 2574, 14, 204, 264, 717, 68, 6008, 289, 463, 204, 268, 379, 1778, 597, 1724, 17, 204, 268, 379, 1454, 597, 943, 19, 3834, 7708, 83, 491, 13487, 6600, 20, 35, 2008, 204, 268, 379, 935, 597, 752, 17, 204, 268, 379, 816, 68, 359, 597, 575, 68, 359, 204, 264, 1211, 204, 264, 407, 717, 68, 6008, 204, 204, 37, 748, 19, 3955, 4195, 826, 18, 6008, 491, 2986, 4980, 5016, 2378, 204, 461, 636, 68, 826, 68, 6008, 374, 393, 394, 31, 204, 264, 320, 204, 264, 10616, 275, 881, 2717, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2966, 2399, 348, 275, 881, 2717, 1472, 19, 204, 264, 320, 204, 264, 314, 4491, 275, 2143, 497, 275, 2067, 204, 264, 2143, 289, 2067, 736, 2574, 839, 204, 264, 407, 2111, 68, 3143, 611, 1957, 68, 6008, 19, 2079, 491, 2143, 34, 2574, 14, 204, 204, 37, 748, 19, 3955, 4195, 826, 18, 6008, 491, 2986, 4980, 4252, 2378, 204, 461, 1722, 68, 826, 68, 6008, 374, 393, 394, 31, 204, 264, 320, 204, 264, 5133, 275, 881, 2717, 798, 8244, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4491, 275, 2143, 497, 275, 2067, 204, 268, 2143, 289, 2067, 736, 2574, 839, 204, 822, 268, 314, 4491, 275, 798, 424, 204, 268, 1724, 289, 824, 19, 654, 736, 1778, 839, 204, 268, 943, 289, 824, 19, 654, 736, 1454, 839, 204, 822, 268, 314, 778, 397, 437, 752, 353, 1917, 204, 268, 752, 289, 3026, 204, 268, 397, 379, 935, 12, 292, 824, 19, 2375, 329, 824, 19, 2375, 736, 935, 3750, 2029, 31, 204, 305, 752, 289, 2106, 68, 935, 13, 1443, 19, 2375, 736, 935, 2043, 740, 19, 1087, 736, 25616, 68, 13839, 2378, 204, 822, 268, 314, 666, 273, 717, 2717, 955, 204, 268, 717, 68, 6008, 289, 838, 68, 1957, 68, 6008, 13, 2574, 17, 1724, 17, 943, 17, 752, 14, 204, 822, 268, 314, 6461, 275, 717, 2717, 1025, 275, 1104, 204, 268, 424, 68, 2754, 19, 5021, 68, 1957, 68, 6008, 68, 633, 68, 2819, 13, 1957, 68, 6008, 14, 204, 822, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 314, 1547, 677, 273, 3094, 6296, 311, 711, 275, 2710, 348, 17114, 5356, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 0, 37553, 852, 947, 677, 11814, 2351, 472, 494, 395, 301, 11731, 6388, 204, 3070, 275, 1043, 690, 7921, 17, 275, 3566, 1120, 874, 275, 10931, 311, 2013, 275, 5005, 2351, 26645, 283, 494, 395, 301, 302, 18172, 677, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 5464, 362, 8495, 17, 9586, 7404, 1882, 275, 3200, 302, 273, 17142, 18, 5515, 11531, 2002, 496, 6911, 292, 18579, 17, 9337, 275, 5904, 9582, 10047, 19, 1765, 15056, 17, 275, 16166, 2080, 1742, 4213, 25597, 4131, 302, 27267, 270, 329, 7081, 17, 15469, 6310, 1882, 275, 37503, 302, 2989, 4553, 19, 204, 4592, 275, 2247, 427, 6129, 17, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 17, 5082, 292, 275, 12044, 521, 17555, 15056, 17, 869, 1742, 275, 2941, 302, 273, 1627, 302, 9907, 28121, 300, 8734, 19, 9419, 17, 19508, 1120, 444, 11171, 523, 970, 3054, 848, 2699, 17, 560, 14319, 1698, 17, 20921, 311, 273, 717, 3073, 5143, 496, 38699, 275, 300, 8734, 12, 22407, 1335, 29784, 1693, 275, 3566, 5104, 311, 275, 501, 39585, 18085, 523, 275, 1043, 8224, 302, 275, 5464, 362, 8495, 3700, 677, 14575, 272, 8449, 12888, 573, 5343, 19, 204, 837, 437, 10291, 302, 275, 5411, 9767, 496, 869, 5298, 5955, 8774, 284, 7113, 299, 719, 311, 5332, 3022, 276, 657, 302, 4376, 19280, 3566, 40377, 1702, 448, 18172, 677, 14367, 2925, 472, 35701, 322, 43, 409, 78, 659, 13014, 23069, 322, 29537, 76, 815, 659, 329, 1212, 12407, 277, 328, 322, 57, 478, 677, 659, 275, 2002, 867, 10872, 348, 560, 273, 686, 16317, 17, 1207, 17766, 497, 2695, 21286, 17, 273, 5955, 3886, 39706, 560, 275, 19280, 8908, 38024, 19, 29118, 17, 18172, 677, 26104, 18, 4007, 21635, 302, 346, 742, 5717, 322, 5123, 1389, 1598, 10355, 14, 353, 1425, 2545, 10365, 523, 20921, 311, 273, 26522, 497, 11623, 6160, 1486, 46276, 18734, 1358, 616, 78, 19, 204, 673, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 24690, 17, 928, 1489, 311, 275, 2989, 427, 6129, 17, 529, 4883, 448, 275, 3477, 677, 1901, 3287, 6596, 302, 5005, 2351, 26645, 283, 494, 395, 301, 19, 7954, 275, 24690, 770, 2648, 1429, 302, 275, 1533, 10562, 17, 275, 9794, 302, 275, 2388, 529, 1950, 18, 2024, 37090, 292, 6797, 17, 19919, 299, 1702, 32277, 21832, 448, 275, 23134, 17, 275, 48549, 17, 275, 2747, 30655, 17, 275, 27203, 19615, 17, 329, 1686, 1128, 657, 19, 1547, 677, 1236, 1622, 51, 3278, 402, 286, 449, 865, 867, 3237, 38826, 22308, 288, 70, 5167, 448, 10428, 275, 2688, 677, 17294, 9004, 10912, 1065, 897, 19732, 322, 48550, 8316, 560, 1838, 3052, 9582, 659, 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, 1101, 275, 3397, 7597, 353, 3848, 12925, 303, 4498, 348, 273, 1627, 302, 26645, 300, 8734, 19, 204, 673, 18298, 329, 1163, 283, 494, 395, 301, 529, 1682, 1451, 311, 275, 3566, 523, 11047, 1233, 329, 931, 17, 329, 11261, 2905, 329, 2153, 17, 440, 5094, 7163, 3848, 311, 444, 20198, 19, 334, 378, 947, 1120, 29784, 719, 311, 1199, 1880, 523, 275, 4904, 497, 1132, 31, 2188, 311, 681, 31, 2188, 17, 827, 630, 368, 31, 2188, 17, 928, 353, 45117, 275, 25317, 8740, 24458, 2280, 19, 35322, 447, 29481, 38504, 1120, 3074, 2481, 292, 19280, 7830, 630, 1233, 31, 2188, 17, 329, 529, 1425, 2755, 560, 824, 292, 5589, 329, 9464, 348, 273, 2311, 302, 10549, 1880, 19, 3839, 2138, 353, 38751, 1003, 14584, 2353, 19, 2169, 789, 0, 3728, 353, 275, 2089, 348, 275, 1869, 700, 302, 273, 741, 1048, 361, 36, 204, 204, 673, 1869, 700, 302, 273, 741, 283, 1048, 437, 3091, 551, 70, 17, 308, 66, 353, 4310, 448, 31, 204, 8515, 17546, 96, 75, 98, 289, 688, 1209, 3164, 339, 1859, 70, 98, 35014, 71, 98, 283, 13, 93, 14, 4992, 98, 463, 71, 18, 70, 3572, 3266, 204, 204, 1449, 14444, 808, 311, 275, 5641, 2318, 1007, 361, 17, 572, 618, 3074, 275, 2689, 448, 275, 3091, 551, 70, 17, 308, 66, 7881, 361, 19, 5028, 2501, 311, 770, 808, 353, 311, 3074, 275, 2689, 24208, 41061, 31, 204, 8515, 4169, 1859, 72, 688, 633, 41494, 6785, 2277, 1209, 96, 22, 1134, 23, 72, 2277, 339, 35019, 72, 8611, 72, 283, 13, 93, 6239, 13299, 37317, 96, 73, 98, 93, 3266, 204, 204, 1834, 2089, 3629, 273, 2501, 311, 7072, 275, 1869, 700, 302, 273, 741, 1048, 361, 17, 1101, 490, 677, 3287, 311, 4806, 496, 490, 1741, 508, 4501, 1337, 17, 2219, 348, 7346, 3263, 19, 18160, 17, 275, 722, 1741, 2979, 523, 1662, 275, 2689, 353, 4768, 19, 204, 204, 3070, 1763, 17, 348, 273, 741, 440, 273, 11339, 5312, 523, 361, 17, 275, 1869, 700, 1120, 444, 500, 19, 17570, 3263, 1120, 874, 273, 1869, 1936, 311, 1017, 741, 700, 19, 3355, 17, 348, 904, 3263, 17, 1702, 448, 686, 74, 5373, 70, 97, 89, 97, 7078, 275, 1869, 700, 1741, 444, 500, 17, 928, 1741, 521, 1741, 508, 444, 30562, 19, 204, 204, 3837, 677, 1425, 9631, 21214, 496, 275, 1869, 700, 302, 273, 741, 1048, 273, 3403, 3091, 551, 70, 17, 308, 66, 618, 3472, 44490, 2637, 448, 275, 1302, 302, 275, 3091, 7529, 19, 6263, 17, 490, 677, 508, 4199, 2075, 273, 388, 4132, 7, 1869, 700, 1784, 444, 348, 1702, 3263, 1048, 275, 5641, 2318, 1007, 361, 19, 0, 647, 4305, 204, 647, 1127, 204, 531, 4305, 532, 14131, 204, 531, 1498, 532, 783, 17, 1061, 204, 531, 16235, 19, 1234, 19, 761, 532, 636, 68, 3342, 204, 531, 16235, 19, 2182, 19, 804, 19, 804, 68, 3766, 532, 23783, 12885, 5418, 204, 531, 16235, 19, 2182, 19, 2182, 68, 3766, 532, 31988, 6056, 2108, 17641, 204, 531, 16235, 19, 2182, 19, 3766, 19, 34290, 386, 68, 82, 68, 73, 4739, 532, 3839, 72, 386, 12688, 4739, 3648, 204, 531, 16235, 19, 2182, 19, 2127, 19, 34290, 386, 68, 82, 19, 5433, 532, 22284, 38332, 68, 4082, 204, 531, 16235, 19, 1234, 19, 5678, 532, 8111, 2940, 204, 204, 761, 289, 636, 68, 3342, 374, 204, 204, 23405, 68, 3344, 289, 379, 1624, 19, 2182, 19, 3766, 19, 34290, 386, 68, 82, 68, 73, 4739, 12, 204, 204, 24188, 68, 7190, 68, 3951, 289, 388, 41, 12633, 22, 7793, 37133, 3699, 19, 3039, 7, 204, 29146, 68, 3951, 289, 388, 41, 12633, 22, 7793, 37133, 3699, 19, 20755, 7, 204, 28163, 68, 6355, 68, 3951, 68, 22, 289, 379, 7976, 41, 12633, 2300, 2051, 45046, 1036, 19, 3039, 12, 204, 28163, 68, 6355, 68, 3951, 68, 23, 289, 379, 7976, 41, 12633, 68, 1625, 68, 672, 19, 3039, 12, 204, 204, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 289, 368, 204, 5551, 68, 28163, 68, 5048, 4552, 18949, 289, 681, 204, 204, 676, 3839, 72, 386, 12688, 12633, 3648, 12885, 5418, 13, 3648, 12885, 5418, 330, 204, 264, 320, 204, 264, 11919, 683, 9617, 348, 3839, 72, 386, 12688, 12633, 3648, 19, 204, 204, 264, 1058, 683, 9617, 11208, 4109, 13761, 348, 275, 3839, 72, 386, 12688, 12633, 3648, 17, 2864, 204, 264, 2707, 6673, 17, 424, 21925, 17, 329, 2872, 18912, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 719, 275, 683, 1964, 19, 204, 204, 268, 1058, 1216, 353, 3250, 2518, 848, 683, 1216, 311, 758, 719, 275, 3600, 204, 268, 1586, 329, 4764, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 268, 370, 19, 12944, 68, 1087, 289, 463, 204, 305, 31988, 6056, 2108, 17641, 19, 23966, 29545, 68, 23405, 31, 21604, 38155, 68, 3344, 17, 204, 305, 31988, 6056, 2108, 17641, 19, 23966, 29545, 68, 16212, 31, 443, 204, 268, 1211, 204, 204, 264, 436, 1451, 68, 553, 13, 327, 17, 2049, 31, 394, 17, 2291, 31, 394, 289, 379, 87, 534, 393, 726, 31, 204, 268, 320, 204, 268, 3594, 273, 510, 292, 275, 1713, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 2049, 322, 325, 330, 334, 588, 302, 275, 510, 311, 1451, 19, 204, 305, 2291, 322, 325, 330, 334, 2291, 292, 928, 311, 1451, 275, 510, 322, 2305, 31, 379, 87, 3930, 204, 204, 268, 475, 31, 204, 305, 726, 31, 334, 11771, 510, 726, 19, 204, 268, 320, 204, 268, 407, 1451, 13, 865, 19, 546, 19, 1541, 13, 35257, 68, 4082, 17, 2049, 659, 2291, 14, 204, 204, 264, 436, 838, 68, 12944, 68, 3766, 13, 327, 17, 510, 68, 4103, 31, 726, 14, 393, 3839, 72, 386, 12688, 4739, 3648, 31, 204, 268, 320, 204, 268, 666, 437, 3839, 72, 386, 12688, 4739, 3648, 348, 21593, 424, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 4103, 322, 1386, 330, 334, 510, 2906, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 3839, 72, 386, 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, 12688, 4739, 3648, 31, 334, 1966, 1732, 19, 204, 268, 320, 204, 268, 407, 3839, 72, 386, 12688, 4739, 3648, 13, 327, 19, 12944, 68, 1087, 17, 510, 68, 4103, 17, 370, 19, 4108, 68, 6197, 14, 204, 204, 264, 436, 683, 68, 11174, 68, 3689, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 5594, 529, 4073, 1151, 329, 3634, 497, 273, 424, 510, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 16766, 9191, 15521, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 1300, 659, 10028, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 268, 370, 19, 1858, 1218, 2803, 13, 327, 19, 4108, 68, 6197, 68, 876, 17, 10336, 204, 204, 264, 436, 683, 68, 481, 68, 42052, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 4488, 424, 497, 273, 510, 1174, 273, 424, 21925, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 15521, 42067, 387, 33381, 1452, 20229, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 28163, 68, 6355, 68, 3951, 68, 22, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 22, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 1300, 659, 10028, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 327, 19, 4108, 68, 6197, 68, 876, 659, 10028, 68, 28163, 68, 5048, 4552, 18949, 14, 204, 204, 264, 436, 683, 68, 7976, 68, 5192, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 437, 2710, 353, 21061, 1330, 275, 510, 588, 1583, 508, 918, 273, 4521, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 15521, 42067, 18956, 28098, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 28163, 68, 6355, 68, 3951, 68, 23, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 440, 370, 19, 11164, 13, 12342, 2940, 330, 204, 485, 1732, 19, 505, 68, 7485, 13, 22, 14, 204, 204, 264, 436, 683, 68, 11174, 68, 3689, 68, 32814, 68, 9648, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 3634, 5594, 2216, 275, 1812, 1563, 292, 273, 10044, 510, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 10044, 15521, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 1858, 68, 16745, 13, 1300, 17, 10044, 68, 3951, 17, 22284, 38332, 68, 4082, 14, 204, 268, 370, 19, 1858, 1218, 2803, 13, 327, 19, 4108, 68, 6197, 68, 876, 17, 10336, 204, 204, 264, 436, 838, 68, 20755, 68, 553, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 10044, 510, 3310, 311, 437, 2641, 21593, 1485, 19, 204, 268, 320, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 16790, 68, 633, 68, 20755, 13, 1300, 17, 10044, 68, 3951, 14, 204, 204, 264, 436, 7299, 68, 633, 68, 20755, 13, 327, 17, 9312, 31, 783, 64, 1665, 648, 2049, 31, 394, 17, 2291, 31, 394, 289, 379, 92, 534, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 9312, 311, 273, 10044, 510, 19, 204, 204, 268, 457, 31, 204, 305, 9312, 322, 1218, 64, 1665, 1037, 334, 9312, 311, 2281, 19, 204, 305, 2049, 322, 325, 330, 334, 588, 302, 275, 10044, 510, 19, 204, 305, 2291, 322, 325, 330, 334, 2291, 292, 928, 311, 1451, 275, 510, 322, 2305, 31, 379, 92, 3930, 204, 268, 320, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 2029, 17, 2291, 14, 448, 44131, 31, 204, 305, 44131, 19, 2206, 611, 4603, 8563, 83, 534, 204, 305, 44131, 19, 2206, 499, 264, 7299, 68, 1386, 31, 379, 29872, 1334, 8761, 83, 431, 204, 305, 44131, 19, 2206, 499, 264, 7299, 68, 932, 31, 379, 29872, 1334, 8761, 83, 431, 204, 305, 44131, 19, 2206, 611, 481, 8563, 83, 534, 204, 305, 348, 296, 17, 7299, 292, 3209, 13, 16745, 330, 204, 485, 7299, 68, 873, 289, 7299, 19, 4776, 68, 873, 374, 204, 485, 44131, 19, 2206, 611, 226, 338, 906, 998, 31, 1564, 73, 65, 83, 12, 1564, 322, 78, 16, 22, 602, 204, 485, 44131, 19, 2206, 611, 264, 7299, 68, 1386, 31, 1564, 88, 65, 83, 12, 1564, 7299, 3925, 676, 18421, 417, 4422, 204, 485, 44131, 19, 2206, 611, 264, 7299, 68, 932, 31, 1564, 88, 65, 83, 12, 1564, 7299, 68, 873, 19, 505, 611, 4509, 68, 417, 3063, 204, 485, 44131, 19, 2206, 611, 264, 7599, 68, 5192, 31, 1564, 75, 65, 83, 12, 1564, 7299, 68, 873, 19, 505, 611, 15517, 68, 5192, 3063, 204, 485, 348, 679, 292, 7299, 68, 873, 19, 505, 611, 1309, 4448, 204, 895, 397, 2381, 13, 577, 19, 505, 611, 876, 2008, 818, 330, 204, 2058, 44131, 19, 2206, 611, 264, 1564, 88, 31, 1564, 1845, 19, 26, 75, 65, 83, 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, 12, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 895, 1677, 2381, 13, 577, 19, 505, 611, 876, 2008, 394, 330, 204, 2058, 44131, 19, 2206, 499, 264, 1564, 88, 31, 11307, 88, 8761, 83, 7, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 895, 902, 31, 204, 2058, 44131, 19, 2206, 611, 264, 1564, 88, 31, 1564, 88, 65, 83, 12, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 4305, 19, 660, 374, 204, 0, 35359, 24908, 17, 334, 6867, 1607, 25328, 204, 673, 445, 8904, 20519, 19780, 204, 9024, 830, 275, 29253, 302, 275, 361, 27151, 18, 18263, 30579, 5102, 322, 31229, 316, 16714, 281, 31001, 2468, 659, 275, 1051, 928, 1784, 2765, 10724, 275, 1259, 292, 1163, 1956, 348, 12918, 867, 275, 15939, 302, 1622, 1933, 798, 302, 47429, 508, 34628, 560, 275, 16714, 3582, 10932, 302, 808, 20393, 18918, 904, 717, 4840, 302, 47429, 17, 329, 1901, 302, 1475, 1466, 21758, 756, 311, 275, 11810, 302, 22684, 1613, 19, 334, 1043, 329, 560, 4935, 275, 8595, 717, 2139, 302, 12918, 867, 275, 445, 8904, 20519, 19780, 19, 204, 673, 3773, 302, 273, 7672, 5025, 867, 508, 717, 311, 275, 43367, 1680, 521, 275, 11810, 19, 1158, 1932, 1233, 17, 275, 348, 270, 350, 1570, 311, 275, 361, 27151, 18, 18263, 30579, 5102, 17, 2080, 1917, 348, 1855, 273, 6323, 7582, 5025, 329, 273, 7672, 5025, 17, 1101, 22714, 311, 1605, 18893, 4368, 73, 41483, 3498, 292, 1163, 23335, 19, 334, 11810, 302, 22684, 1613, 13567, 4569, 9037, 4840, 302, 47429, 17, 2864, 273, 1622, 12053, 5025, 1001, 521, 1622, 38838, 18484, 88, 1001, 5025, 928, 1784, 1622, 6774, 348, 4355, 5025, 17712, 3582, 6787, 334, 1622, 55, 27151, 10234, 1001, 3217, 46, 1133, 5846, 311, 798, 275, 1622, 55, 27151, 18, 18263, 30579, 3478, 1001, 3217, 31476, 3250, 348, 273, 19867, 7582, 521, 9093, 5025, 17, 1101, 808, 17, 4440, 17, 2887, 440, 4382, 22714, 329, 867, 8143, 497, 275, 2423, 361, 27151, 18, 18263, 30579, 10234, 19, 4168, 25042, 16714, 281, 31001, 2468, 867, 6666, 43396, 17, 275, 6646, 448, 311, 2075, 3003, 302, 18893, 311, 36123, 867, 1824, 311, 275, 43367, 1680, 19, 204, 12124, 3857, 1466, 38750, 292, 12056, 275, 361, 27151, 18, 18263, 30579, 5102, 31, 322, 22, 14, 4916, 12918, 867, 4331, 311, 7116, 275, 6863, 20117, 523, 275, 1259, 47355, 32, 329, 322, 23, 14, 808, 4916, 12918, 1856, 508, 3891, 497, 4355, 47429, 19, 592, 275, 3200, 302, 11019, 299, 348, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 31001, 17, 1910, 36204, 2080, 18915, 292, 6972, 302, 273, 27761, 7672, 5025, 19, 10146, 275, 25081, 43367, 1026, 19780, 18019, 2080, 13037, 273, 970, 2847, 27761, 7672, 5025, 292, 1163, 2556, 302, 9923, 7500, 17, 39439, 19, 9769, 1547, 353, 508, 20428, 8405, 17, 496, 1877, 275, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 31001, 17, 273, 27761, 7672, 5025, 867, 1622, 5477, 497, 275, 13344, 2553, 336, 43367, 1680, 3582, 10360, 204, 837, 275, 7591, 719, 20953, 577, 302, 275, 11128, 33104, 17, 490, 7117, 4382, 27799, 311, 37359, 273, 7672, 5025, 292, 275, 4744, 22265, 88, 19, 29502, 17, 37055, 747, 560, 275, 1259, 884, 88, 9104, 24754, 16188, 17, 24468, 22264, 361, 27151, 329, 11810, 19723, 23644, 10866, 30579, 7168, 275, 11810, 292, 16783, 1070, 275, 5025, 19, 4161, 10228, 1916, 17, 39439, 17, 2202, 1194, 1051, 2699, 1877, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 5102, 17, 273, 27761, 7672, 5025, 6357, 17, 25042, 16173, 1598, 1641, 17, 867, 12009, 1025, 275, 10224, 25042, 560, 46246, 361, 14660, 471, 19, 7338, 299, 19, 6917, 16689, 17527, 1048, 275, 2233, 17, 275, 25042, 329, 23423, 43660, 523, 970, 18, 416, 18, 389, 18, 9441, 2847, 17, 329, 275, 6357, 7568, 1855, 11522, 302, 275, 43367, 1680, 560, 273, 15064, 12163, 19, 27184, 22384, 696, 5498, 336, 3119, 275, 21376, 17, 10228, 2019, 17, 39439, 17, 311, 1574, 275, 6357, 1025, 3938, 19, 1547, 9453, 1025, 2620, 9907, 368, 17, 2842, 1051, 3747, 5287, 17, 440, 275, 970, 18, 416, 18, 389, 18, 9441, 2847, 2233, 496, 867, 311, 2709, 6639, 3119, 10228, 368, 17, 43448, 19, 3065, 8344, 17, 275, 2233, 867, 311, 444, 38668, 311, 970, 2847, 19, 334, 11810, 302, 22684, 1613, 867, 4285, 311, 21991, 275, 717, 5025, 329, 867, 21601, 311, 1895, 1622, 17538, 5035, 329, 9883, 1702, 1747, 1372, 17, 27172, 12763, 17, 44145, 17, 329, 9535, 1372, 448, 490, 1741, 355, 547, 3600, 311, 31488, 1163, 9350, 329, 2811, 1163, 26844, 2617, 2617, 2617, 1001, 18006, 19, 334, 11810, 1784, 1425, 13290, 3626, 1493, 560, 48007, 375, 426, 9154, 7672, 5025, 11566, 560, 1163, 31136, 19, 204, 19150, 17844, 447, 17, 1422, 867, 5680, 22714, 630, 1043, 311, 275, 7672, 5025, 6357, 19, 1622, 673, 3060, 2969, 440, 928, 275, 7672, 5025, 3938, 867, 7568, 940, 39354, 1163, 4193, 35227, 3582, 19146, 334, 501, 2307, 329, 275, 24128, 24383, 17, 928, 12894, 4260, 437, 7582, 5025, 521, 1855, 437, 7582, 329, 7672, 5025, 17, 26986, 437, 47757, 22714, 311, 275, 6357, 19, 445, 8904, 375, 1466, 24359, 3626, 7098, 560, 275, 20393, 496, 275, 5025, 2549, 444, 7568, 523, 311, 275, 4943, 19, 3355, 17, 11084, 1877, 275, 27761, 7672, 5025, 9453, 1025, 2620, 17, 22714, 7988, 38826, 19, 9496, 1880, 1784, 874, 15366, 437, 7582, 5025, 1101, 275, 27184, 376, 15359, 336, 1702, 273, 3001, 19, 4168, 4355, 18893, 3756, 508, 10574, 292, 39439, 18, 5091, 17, 490, 867, 12551, 496, 275, 1259, 2080, 20032, 6651, 302, 14375, 19, 18911, 17, 5566, 44139, 273, 7672, 5025, 496, 1784, 444, 6469, 8907, 73, 624, 1147, 523, 3264, 18, 14188, 9172, 17, 2861, 5027, 18, 13235, 560, 275, 12645, 36, 3355, 17, 275, 7672, 5025, 867, 437, 15548, 2139, 302, 12918, 329, 2404, 302, 275, 21932, 1519, 348, 12918, 17, 830, 11160, 311, 3124, 521, 13776, 275, 7672, 5025, 5585, 19, 204, 673, 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, 20519, 19780, 5102, 21601, 275, 11810, 311, 34200, 8740, 311, 21991, 275, 717, 604, 18401, 17, 1101, 490, 47103, 336, 1475, 497, 9272, 3158, 19, 548, 656, 324, 8535, 867, 22685, 608, 1882, 3153, 12645, 2181, 17, 329, 20568, 2471, 4815, 73, 275, 11810, 311, 34200, 1017, 45173, 17, 1910, 302, 13117, 1466, 508, 22635, 348, 1017, 8499, 19, 334, 20519, 19780, 5102, 25317, 2327, 2847, 302, 275, 5025, 10831, 311, 436, 549, 275, 2264, 302, 16895, 19, 3355, 17, 275, 43367, 1680, 3415, 4735, 336, 2900, 8061, 1070, 1169, 5132, 348, 16895, 17, 754, 496, 1422, 1784, 874, 1742, 1236, 15174, 302, 275, 2548, 497, 9907, 311, 11261, 1466, 490, 508, 348, 275, 14741, 292, 275, 5102, 496, 2589, 400, 70, 7621, 1631, 10326, 273, 7672, 5025, 21064, 348, 1051, 19892, 19, 5610, 11810, 9700, 1466, 10242, 311, 11327, 3153, 7672, 5025, 34658, 19, 334, 42329, 302, 3153, 21064, 7672, 10872, 275, 9700, 884, 22492, 17, 1101, 275, 28480, 928, 21269, 275, 10293, 8941, 348, 808, 717, 2350, 2080, 311, 5498, 348, 1017, 5132, 3119, 275, 43367, 1680, 13344, 2553, 336, 292, 275, 5573, 19, 204, 673, 7672, 5025, 17720, 22279, 15987, 5362, 311, 21991, 630, 1043, 17, 1855, 2404, 275, 8740, 867, 292, 18292, 73, 17, 329, 2404, 275, 3566, 304, 767, 336, 275, 717, 5025, 19, 334, 10837, 17, 1622, 70, 45982, 348, 25152, 2301, 12906, 19359, 25222, 630, 27184, 12424, 22384, 696, 348, 23694, 275, 7672, 5025, 1025, 3938, 19, 3355, 17, 1704, 27799, 292, 8205, 754, 15250, 275, 7546, 794, 47768, 2842, 4948, 311, 275, 45076, 13071, 1324, 6467, 275, 1259, 497, 8497, 19805, 1882, 496, 3155, 302, 11312, 7591, 12645, 19, 204, 2954, 270, 25716, 1212, 18215, 313, 549, 16741, 2080, 5052, 275, 7672, 5025, 3938, 19, 38689, 1163, 769, 773, 430, 17, 566, 13112, 273, 8720, 302, 18538, 497, 275, 4639, 311, 6083, 273, 6610, 10225, 448, 19963, 302, 275, 20519, 19780, 19, 1144, 7092, 2772, 329, 29943, 1466, 21821, 21437, 37152, 19, 595, 3901, 87, 6603, 1004, 352, 12174, 275, 10266, 8740, 329, 867, 10242, 311, 1225, 523, 7672, 5025, 18134, 19, 204, 11630, 26967, 24144, 415, 32951, 769, 22847, 275, 13887, 302, 3566, 11445, 8774, 1415, 11504, 336, 2327, 9208, 13935, 311, 275, 11810, 311, 1340, 20966, 275, 1419, 9578, 4489, 560, 275, 16615, 1983, 5044, 302, 808, 717, 5025, 19, 334, 2327, 11445, 9700, 40188, 292, 33453, 273, 8740, 329, 7001, 273, 1561, 302, 16895, 19, 313, 549, 16741, 5287, 28396, 73, 1605, 4757, 348, 1017, 27883, 1225, 17, 12482, 4616, 496, 275, 11445, 8774, 1917, 1605, 13935, 311, 275, 1259, 630, 1236, 6979, 19, 204, 57, 549, 16741, 17, 1144, 7092, 2772, 17, 329, 595, 3901, 87, 6603, 1004, 352, 16819, 336, 1910, 4802, 19559, 311, 3288, 275, 717, 7672, 5025, 3938, 17, 1901, 302, 1475, 3848, 292, 2620, 19, 20462, 1605, 1466, 275, 16751, 344, 4090, 17, 275, 5914, 7157, 4090, 17, 329, 275, 7254, 1854, 884, 4090, 19, 204, 17601, 4576, 17, 1882, 39439, 329, 45076, 17, 1422, 867, 16890, 48223, 302, 275, 717, 7672, 5025, 17, 448, 3505, 9332, 4825, 8783, 29468, 44188, 5104, 497, 3761, 6376, 292, 904, 3584, 19, 2416, 8180, 668, 1702, 1417, 42274, 17, 313, 549, 16741, 17, 1144, 7092, 2772, 17, 329, 595, 3901, 87, 6603, 1004, 352, 16819, 336, 273, 732, 5025, 6357, 17, 928, 867, 43396, 1025, 3938, 292, 43448, 19, 1058, 1187, 302, 5025, 867, 5287, 17260, 560, 275, 904, 3584, 928, 31653, 273, 27761, 7672, 5025, 19, 592, 43674, 17, 275, 1729, 1659, 84, 302, 6820, 26770, 1286, 16819, 336, 273, 6357, 928, 867, 43396, 17, 21064, 1693, 904, 3584, 311, 732, 10224, 23387, 311, 5495, 18893, 523, 273, 18211, 7032, 19, 5610, 3584, 27128, 43396, 3557, 20187, 19, 204, 5019, 275, 1136, 302, 39439, 17, 313, 549, 16741, 1384, 266, 411, 5311, 1704, 1502, 448, 19963, 302, 275, 20519, 19780, 329, 8885, 311, 275, 4639, 311, 11524, 3101, 690, 19, 8879, 39439, 3119, 1704, 14319, 311, 275, 5140, 21682, 13932, 292, 24603, 17, 566, 13335, 448, 273, 44773, 311, 275, 11810, 523, 5025, 18134, 19, 204, 14884, 275, 7672, 5025, 867, 26968, 311, 444, 273, 3094, 2139, 302, 3171, 4331, 12918, 17, 275, 11810, 17514, 440, 9104, 9834, 275, 12918, 10418, 275, 1259, 1784, 9708, 440, 275, 407, 302, 22394, 311, 275, 3221, 5025, 17768, 523, 10137, 368, 17, 43448, 19, 334, 11810, 21071, 275, 27184, 311, 7023, 275, 7672, 5025, 2233, 311, 4516, 275, 16541, 1051, 18, 9441, 302, 1051, 2847, 9924, 292, 275, 7672, 5025, 2233, 292, 10228, 302, 43448, 19, 334, 11810, 9453, 754, 4935, 448, 311, 4627, 31, 204, 990, 15605, 397, 275, 7672, 5025, 353, 31317, 630, 1163, 3113, 2233, 17, 1422, 1120, 444, 1236, 12918, 497, 490, 928, 1741, 444, 1376, 311, 4066, 275, 686, 2188, 17, 1207, 17, 1207, 302, 8213, 11445, 18893, 18901, 311, 275, 24391, 17, 7850, 17, 329, 20617, 19, 334, 2712, 1283, 39890, 7582, 497, 4449, 6651, 329, 275, 3310, 45248, 348, 928, 275, 1259, 353, 19175, 756, 5913, 437, 14489, 299, 4362, 747, 31514, 884, 4368, 19, 3065, 1120, 444, 1236, 6836, 302, 275, 7672, 5025, 16368, 311, 3074, 275, 2481, 302, 275, 11445, 5025, 36681, 3582, 7776, 204, 673, 1259, 304, 31721, 336, 808, 2210, 1924, 275, 9932, 43396, 18893, 523, 6160, 329, 6323, 7582, 17, 928, 41834, 5387, 686, 2169, 17, 1207, 17, 1207, 841, 1324, 19, 204, 44, 2953, 16741, 17417, 472, 19, 6720, 391, 555, 29247, 440, 273, 824, 348, 273, 2327, 2847, 5025, 292, 1704, 13037, 43448, 9307, 19, 6917, 273, 29507, 17527, 292, 1855, 11522, 275, 7018, 43367, 1026, 18019, 523, 39835, 329, 19780, 344, 10290, 273, 2327, 2847, 7672, 5025, 17, 275, 20801, 6544, 302, 3117, 348, 2941, 9757, 17, 273, 732, 329, 5688, 5025, 329, 275, 1650, 302, 7672, 5025, 311, 1429, 604, 3710, 329, 12847, 1493, 19, 6537, 334, 43367, 1680, 8367, 1605, 14815, 440, 275, 15690, 302, 2327, 19904, 31, 275, 34814, 16173, 7514, 275, 5025, 2233, 311, 2327, 2847, 329, 47103, 336, 3117, 41129, 88, 32, 273, 1350, 6357, 4327, 604, 3710, 329, 12847, 1493, 2927, 292, 14029, 90, 302, 7672, 311, 275, 458, 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, 5025, 578, 9093, 32, 273, 4986, 17, 275, 732, 5025, 6357, 17, 31653, 273, 7672, 5025, 49004, 311, 29279, 10342, 292, 497, 7066, 275, 1259, 19, 5610, 2327, 19904, 6802, 6639, 10228, 368, 17, 43448, 19, 204, 673, 11810, 884, 88, 8474, 867, 8628, 22886, 17, 8578, 311, 275, 732, 5025, 928, 490, 2080, 10290, 19, 12694, 6975, 26590, 2556, 18377, 31, 204, 990, 673, 1974, 19780, 5102, 869, 27704, 1163, 8784, 302, 21019, 10224, 27761, 375, 523, 1936, 3099, 440, 1017, 685, 18, 522, 18, 1512, 40649, 3582, 16964, 204, 1834, 35093, 344, 3756, 508, 17, 5862, 17, 8108, 275, 10424, 302, 275, 11810, 13431, 275, 3117, 41129, 88, 20801, 6544, 19, 11554, 41129, 88, 2080, 6327, 35357, 348, 16504, 18, 18338, 2847, 302, 275, 7672, 5025, 18484, 88, 292, 275, 1043, 16504, 18, 13554, 5869, 329, 17, 3126, 8280, 15502, 17, 275, 11810, 1093, 1637, 5311, 17, 19542, 45226, 31, 204, 990, 1480, 74, 16363, 17, 19065, 5256, 1330, 6028, 26925, 17, 1120, 798, 273, 376, 23063, 6596, 36151, 275, 7562, 2292, 302, 275, 3001, 17, 329, 1120, 903, 35363, 275, 1259, 1818, 1025, 275, 4362, 10924, 16188, 884, 497, 928, 490, 867, 44762, 336, 440, 275, 28127, 302, 275, 20519, 19780, 5102, 3582, 15066, 204, 5019, 275, 1853, 302, 275, 12645, 17, 275, 1259, 23859, 1462, 275, 24391, 302, 1017, 15214, 348, 37210, 5798, 17, 14958, 6923, 496, 311, 530, 1153, 686, 2169, 17, 1207, 17, 1207, 22159, 19, 592, 1163, 1043, 1324, 17, 275, 9932, 43396, 7672, 5025, 7514, 686, 7378, 17, 2825, 17, 1207, 311, 16757, 1163, 717, 36704, 19, 592, 39439, 18, 5091, 17, 275, 1259, 22123, 686, 2188, 841, 32838, 292, 2480, 6450, 15063, 630, 20482, 8229, 17, 686, 2682, 841, 32838, 292, 10038, 8229, 19, 1547, 867, 275, 7672, 5025, 496, 6467, 275, 8229, 17, 329, 12527, 1475, 1451, 7870, 275, 12645, 19, 204, 3894, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 45137, 18, 1794, 2177, 19, 284, 19, 2958, 204, 9769, 9376, 302, 275, 25081, 43367, 1026, 19780, 18019, 322, 31229, 316, 11059, 39439, 14, 284, 19, 435, 29347, 19, 204, 7653, 382, 12746, 2458, 10964, 19, 571, 26407, 329, 9131, 4452, 204, 9783, 3505, 34962, 19, 322, 1794, 3268, 659, 556, 19, 931, 1036, 17, 284, 19, 30168, 30, 204, 9706, 12418, 9439, 17, 4360, 19, 7889, 19, 204, 3534, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 17, 39439, 18, 1794, 5091, 19, 284, 19, 2958, 204, 6537, 9376, 302, 275, 15091, 25081, 43367, 1026, 18019, 523, 39835, 329, 19780, 344, 17, 25042, 21397, 11059, 322, 18102, 2153, 17, 43448, 659, 284, 19, 1199, 4635, 204, 6074, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 17, 43448, 18, 1794, 3701, 17, 284, 19, 571, 0, 41012, 34893, 295, 29992, 867, 9596, 523, 11157, 5436, 17, 1916, 4049, 292, 10866, 953, 514, 271, 17, 415, 762, 493, 11151, 17, 39237, 19002, 1257, 32, 275, 9348, 302, 12424, 29992, 329, 12254, 5973, 295, 19, 204, 26679, 6757, 2080, 318, 9588, 13120, 497, 22511, 292, 1916, 4635, 329, 2090, 904, 28939, 28165, 17, 14996, 1704, 1922, 630, 21156, 19, 3355, 17, 490, 867, 508, 1704, 14101, 17, 754, 566, 17243, 1704, 2501, 9116, 3859, 329, 19410, 10266, 6171, 19, 3846, 1675, 566, 14996, 1704, 1922, 630, 35189, 17, 12637, 275, 4316, 292, 8497, 48203, 19, 204, 5019, 275, 2523, 302, 14372, 17, 13275, 8287, 830, 275, 22042, 523, 1704, 1629, 1922, 292, 273, 11373, 440, 273, 14944, 299, 5525, 322, 22, 659, 928, 2927, 273, 14214, 292, 21156, 13337, 17, 329, 440, 5680, 5132, 17, 33464, 4542, 2914, 19, 204, 4259, 44910, 5175, 1704, 8453, 17, 12254, 34893, 295, 867, 273, 6556, 329, 9002, 10506, 1415, 48200, 496, 566, 7137, 273, 3094, 5798, 19, 6917, 30125, 415, 762, 493, 18924, 566, 5445, 273, 35900, 497, 275, 8689, 1424, 476, 1516, 11052, 311, 3220, 292, 22511, 17, 329, 523, 1704, 407, 867, 800, 275, 1621, 1282, 302, 1200, 19, 5188, 1947, 7650, 292, 28695, 403, 1474, 19, 204, 4259, 566, 867, 9002, 508, 311, 3014, 1704, 378, 21640, 440, 275, 3299, 6659, 329, 308, 43095, 9787, 17, 13713, 302, 1704, 15005, 17, 1101, 440, 437, 21212, 523, 275, 2140, 5337, 496, 13082, 2549, 7940, 19, 204, 44, 13849, 867, 6639, 292, 24177, 8978, 1417, 693, 22142, 5169, 311, 275, 4361, 3490, 302, 28695, 403, 1474, 19, 2474, 867, 8033, 292, 275, 2945, 302, 275, 8452, 348, 275, 17604, 541, 17, 275, 28695, 403, 1474, 30221, 348, 275, 1998, 3723, 329, 412, 420, 17, 275, 12817, 884, 88, 9114, 329, 9183, 20522, 6513, 10556, 6410, 17, 275, 13448, 480, 364, 543, 884, 9114, 17, 275, 28695, 403, 1474, 31458, 8452, 17, 275, 28695, 403, 1474, 7287, 9212, 2550, 85, 624, 557, 17, 329, 275, 20524, 18598, 884, 88, 10927, 12496, 17, 329, 13972, 980, 5132, 348, 1475, 19, 837, 904, 2159, 17, 2090, 16706, 2301, 35333, 17, 566, 448, 19565, 311, 273, 4361, 43705, 19, 204, 837, 4998, 17, 1200, 29034, 884, 88, 11052, 6300, 273, 3226, 9737, 557, 17, 12424, 387, 19, 16843, 476, 17, 1415, 1917, 17712, 311, 275, 8602, 329, 25851, 275, 33055, 44144, 348, 275, 9114, 3275, 19, 3846, 29992, 3756, 508, 2506, 1702, 5994, 275, 3210, 311, 4005, 358, 275, 5726, 378, 33130, 1708, 302, 275, 11031, 19, 2474, 678, 4988, 283, 5246, 447, 311, 1704, 378, 21640, 302, 41422, 329, 8158, 22220, 523, 275, 3633, 302, 22175, 329, 7695, 329, 30368, 14247, 4757, 1415, 2927, 5132, 560, 468, 360, 2655, 275, 7977, 302, 1017, 1994, 7650, 292, 794, 277, 2070, 3195, 94, 373, 335, 6464, 521, 10946, 29985, 630, 2941, 448, 273, 8776, 348, 16760, 630, 8469, 19, 322, 23, 14, 204, 5824, 6903, 1168, 17, 1916, 5645, 17, 566, 17470, 871, 1055, 705, 7422, 1013, 17, 16657, 302, 1051, 302, 275, 6043, 41422, 292, 275, 3226, 17, 1101, 490, 353, 3252, 496, 566, 10566, 388, 40933, 30442, 811, 3483, 329, 11278, 1091, 15987, 2948, 322, 24, 14, 204, 673, 11502, 1784, 874, 970, 2804, 32, 12247, 7422, 1013, 329, 13275, 17, 1415, 10564, 630, 275, 2523, 302, 1598, 19, 204, 41012, 34893, 295, 17243, 273, 26086, 17, 508, 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, 1698, 448, 273, 678, 3797, 17, 1101, 273, 38174, 14558, 523, 7546, 7993, 19, 592, 1916, 5645, 17, 1330, 39237, 19002, 1257, 867, 1093, 555, 22327, 20580, 311, 27886, 11134, 17, 29992, 21369, 336, 275, 3253, 17, 329, 1704, 24671, 27385, 440, 44340, 16319, 2026, 74, 1466, 46635, 19, 204, 3837, 353, 3252, 496, 2080, 29992, 508, 21061, 1704, 4835, 2308, 292, 18759, 302, 17567, 2586, 336, 11134, 17, 490, 1741, 508, 874, 4768, 2481, 1330, 490, 3756, 19, 3242, 311, 2026, 74, 17, 1422, 867, 1236, 2318, 5255, 24700, 329, 29992, 1784, 5287, 2281, 273, 31839, 299, 30751, 397, 1704, 40976, 557, 19, 25926, 17, 1704, 9348, 17, 12247, 7422, 1013, 1784, 1425, 2799, 334, 38115, 4761, 302, 39237, 19002, 1257, 31, 332, 36664, 1548, 302, 16319, 2026, 74, 17, 448, 1085, 302, 275, 36664, 3950, 302, 11053, 19, 204, 4259, 13275, 34893, 295, 29992, 867, 508, 10689, 5800, 299, 17567, 3511, 19, 592, 1916, 7653, 17, 566, 12736, 5229, 11053, 31, 204, 8604, 497, 275, 20268, 18254, 311, 275, 15217, 18254, 17, 440, 275, 20983, 17, 2864, 45245, 6914, 17, 21056, 19585, 9646, 44421, 6712, 17, 1415, 36264, 275, 5143, 302, 275, 17567, 15217, 43773, 19, 29992, 677, 2016, 18254, 311, 18254, 322, 2132, 9783, 14, 867, 1051, 302, 275, 1043, 5337, 496, 11771, 275, 9621, 302, 46472, 311, 275, 700, 302, 275, 38577, 23650, 1250, 25623, 19, 2474, 6202, 8287, 437, 10931, 17, 3855, 292, 275, 8136, 28194, 521, 523, 275, 6280, 17, 302, 30648, 523, 1704, 32105, 496, 275, 8595, 5094, 348, 11053, 1639, 292, 23554, 440, 275, 3022, 302, 275, 8105, 18831, 32, 329, 1704, 9055, 3584, 1486, 4995, 24243, 2927, 3850, 437, 13704, 928, 30117, 302, 830, 15193, 1466, 42950, 311, 12742, 19, 322, 24, 14, 7002, 292, 1916, 6074, 17, 448, 28020, 302, 18878, 677, 4639, 17, 566, 1425, 1824, 1704, 2434, 19, 10910, 311, 275, 4639, 677, 3346, 12400, 31, 204, 44, 13849, 353, 275, 1901, 3287, 302, 830, 18878, 677, 21719, 1493, 19, 8833, 12178, 292, 1704, 2344, 1194, 1169, 18878, 677, 28020, 2518, 521, 3522, 17, 29992, 7834, 275, 12347, 292, 1704, 2019, 2181, 302, 16675, 322, 2132, 6074, 18, 1794, 5559, 14, 497, 273, 28166, 4447, 1872, 10692, 1025, 273, 8175, 6838, 9463, 19, 322, 25, 14, 41012, 34893, 295, 29992, 10564, 292, 8503, 14042, 523, 6903, 931, 17, 1433, 5559, 204, 39538, 7422, 1013, 29992, 204, 44, 13849, 884, 88, 1901, 28362, 19034, 353, 18878, 884, 88, 17, 1273, 17, 448, 13439, 560, 552, 862, 70, 6856, 288, 392, 905, 1424, 17, 566, 1622, 574, 1704, 6323, 2434, 2617, 2617, 2617, 754, 292, 285, 1825, 447, 496, 1163, 3511, 292, 1704, 690, 869, 7510, 311, 444, 5052, 292, 6323, 3099, 3582, 4596, 275, 1136, 302, 1704, 3307, 17, 1622, 8124, 454, 705, 11453, 8503, 1001, 2080, 14534, 46635, 20882, 19, 204, 2152, 673, 22070, 19763, 337, 9008, 5129, 791, 629, 6455, 28710, 419, 17, 1415, 7988, 1704, 14214, 630, 18878, 884, 88, 17, 10869, 302, 29992, 496, 1622, 286, 867, 7301, 1236, 2637, 1085, 302, 275, 5798, 496, 18878, 884, 88, 11278, 311, 19611, 440, 273, 1064, 302, 1702, 40891, 88, 17, 1702, 933, 329, 1702, 7546, 22269, 19, 2617, 2617, 2617, 15490, 17, 13513, 17, 3175, 2317, 2428, 29992, 2075, 872, 1120, 32, 566, 6467, 275, 4639, 497, 19972, 48203, 448, 30696, 448, 566, 3756, 497, 8497, 32, 329, 17, 440, 830, 1704, 18113, 17, 1704, 9920, 17, 1704, 1142, 17, 1704, 44450, 17, 1466, 28609, 3582, 322, 23, 14, 204, 39538, 7422, 1013, 29992, 867, 9596, 523, 11639, 435, 17, 1916, 7653, 292, 28695, 403, 1474, 17, 39237, 19002, 1257, 17, 275, 9348, 302, 13275, 34893, 295, 29992, 329, 871, 1055, 705, 7422, 1013, 19, 2474, 1784, 3472, 273, 12406, 630, 36408, 4639, 329, 28020, 302, 22558, 11053, 12661, 19, 204, 6031, 17470, 7364, 1230, 31416, 31042, 9849, 266, 523, 9815, 368, 17, 41240, 17, 329, 1250, 2080, 3420, 2804, 31, 39242, 5973, 295, 17, 6679, 516, 7422, 1013, 17, 871, 1055, 705, 388, 38, 2708, 271, 7, 329, 13275, 9849, 266, 19, 204, 39538, 7422, 1013, 10564, 523, 11788, 571, 17, 43448, 19, 204, 673, 5898, 22169, 302, 275, 13288, 31, 204, 30891, 14810, 292, 275, 4744, 1433, 427, 6129, 867, 273, 2481, 302, 3171, 13618, 703, 362, 19, 346, 95, 290, 41127, 8392, 17, 7239, 273, 3094, 4316, 1064, 17, 867, 437, 292, 38001, 319, 11707, 17, 329, 1330, 5024, 26241, 685, 566, 9453, 311, 1370, 26426, 5976, 302, 24654, 18134, 630, 2941, 19, 204, 7002, 1335, 16765, 867, 630, 5024, 17, 1422, 867, 437, 7599, 5024, 6432, 2481, 523, 1910, 42533, 3450, 19, 334, 32602, 32447, 21490, 88, 302, 2747, 288, 17, 2080, 18887, 292, 526, 76, 385, 88, 17, 448, 275, 12464, 1880, 1466, 3303, 6183, 311, 444, 8944, 273, 1681, 1460, 24500, 311, 3074, 1048, 275, 2688, 19, 332, 3284, 432, 37068, 7117, 2481, 17, 329, 348, 3153, 1415, 19509, 311, 9291, 17, 10167, 18, 56, 17406, 2643, 867, 22685, 608, 329, 3667, 23637, 19, 59, 351, 2230, 422, 32113, 266, 20580, 275, 32624, 3704, 5024, 17, 329, 5976, 867, 24842, 273, 850, 5024, 19, 7954, 3905, 5809, 3938, 17, 566, 10365, 523, 13627, 3623, 18, 47938, 2910, 17, 1273, 566, 18503, 19488, 311, 275, 15411, 33379, 1372, 12, 24336, 18, 24894, 2407, 19, 3242, 273, 722, 566, 7001, 273, 7546, 1561, 566, 3250, 32113, 266, 2643, 17, 928, 867, 8699, 448, 273, 43688, 10854, 26381, 2643, 329, 3667, 13018, 311, 448, 32113, 266, 18, 17664, 93, 2643, 19, 204, 59, 351, 2230, 422, 867, 292, 34846, 630, 275, 690, 302, 275, 11788, 17451, 496, 10946, 275, 346, 95, 290, 41127, 8392, 355, 6100, 17, 1101, 440, 275, 1340, 302, 275, 27409, 17, 566, 867, 5096, 311, 636, 21404, 1818, 311, 16765, 311, 5157, 292, 275, 24280, 3122, 76, 302, 24448, 89, 19, 204, 7020, 275, 1136, 302, 275, 8517, 7387, 37912, 437, 32212, 1283, 3353, 17185, 329, 4361, 2156, 7196, 273, 20393, 281, 4886, 17, 18596, 311, 7546, 20146, 17, 560, 4141, 273, 9412, 72, 6800, 2547, 18, 13486, 336, 23137, 329, 15995, 19, 204, 4237, 17, 808, 717, 4886, 5585, 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, 292, 1085, 2404, 1250, 17228, 311, 3524, 1017, 18768, 292, 275, 11128, 6482, 17, 329, 275, 4722, 5032, 10891, 17, 6666, 24465, 46543, 292, 275, 11261, 17451, 496, 10946, 275, 565, 2319, 267, 2925, 80, 4886, 1683, 32113, 266, 6061, 2347, 17, 329, 275, 3477, 867, 21061, 1025, 9272, 5024, 19, 204, 5824, 9907, 2468, 17, 34098, 275, 1526, 302, 275, 13699, 295, 6164, 4583, 14751, 867, 33057, 11013, 17, 329, 273, 1784, 444, 33057, 266, 14996, 329, 5585, 311, 3074, 685, 32113, 266, 19, 592, 400, 281, 7908, 1910, 5131, 302, 275, 23516, 4316, 329, 3153, 41556, 311, 275, 13153, 14348, 17, 273, 4328, 18, 272, 3763, 557, 2955, 17, 1466, 16522, 719, 329, 32220, 19, 204, 5824, 11047, 887, 17, 34098, 17, 2019, 24551, 4757, 6027, 275, 2941, 302, 3398, 415, 629, 81, 42785, 349, 533, 4681, 842, 18843, 269, 705, 91, 329, 1704, 14310, 8896, 34922, 37230, 4473, 70, 30976, 3298, 2146, 24570, 19, 415, 629, 81, 867, 32220, 329, 8923, 440, 4328, 18, 272, 3763, 557, 25396, 17, 830, 3256, 756, 348, 5156, 19, 204, 6031, 2080, 1742, 275, 5798, 25713, 630, 275, 32624, 13932, 17, 1101, 867, 273, 29102, 3084, 1516, 23910, 302, 1429, 3210, 19, 42253, 275, 39909, 302, 2830, 4316, 329, 8120, 17, 37230, 4473, 291, 8367, 2830, 19435, 38796, 1704, 5367, 19, 3846, 490, 19395, 2964, 3119, 273, 27952, 4799, 14006, 496, 415, 629, 81, 2080, 1742, 32220, 329, 867, 2545, 8923, 496, 1704, 29341, 7716, 19, 204, 673, 4799, 17, 44316, 496, 415, 629, 81, 2080, 1742, 38750, 292, 17080, 275, 11975, 1561, 292, 275, 3477, 17, 16398, 273, 2384, 24717, 329, 448, 273, 722, 275, 273, 5215, 415, 629, 81, 867, 4675, 311, 407, 311, 1704, 4316, 19, 204, 4237, 17, 1250, 1466, 20185, 9795, 430, 336, 19, 12412, 2941, 867, 483, 8284, 19875, 29406, 2666, 17, 275, 2423, 4886, 11994, 380, 336, 622, 5235, 868, 5422, 1693, 2075, 867, 1824, 292, 1017, 2804, 677, 22962, 270, 2790, 375, 19, 204, 18226, 14107, 311, 35361, 15, 17, 1250, 11959, 22986, 292, 22558, 19477, 40782, 17, 43755, 17, 1273, 415, 629, 81, 1784, 407, 311, 1704, 1043, 8336, 32, 21156, 19, 415, 629, 81, 329, 37230, 4473, 291, 529, 4037, 3556, 448, 12971, 329, 392, 345, 88, 1257, 18843, 269, 7056, 75, 19, 6234, 10564, 292, 32272, 329, 275, 2991, 6751, 15576, 10869, 302, 2830, 5741, 292, 437, 3062, 26095, 379, 17856, 34922, 18843, 269, 7056, 75, 2625, 12971, 10564, 292, 27753, 19, 204, 5842, 302, 415, 629, 81, 677, 5544, 24354, 17, 13275, 32, 1784, 3437, 719, 311, 3472, 273, 2482, 16413, 17567, 24733, 1155, 329, 6323, 21437, 311, 275, 17567, 9963, 15268, 270, 292, 11343, 17, 28659, 1325, 32386, 15436, 19, 2474, 1784, 39631, 32386, 15436, 677, 300, 17019, 17, 2439, 4085, 29992, 17, 1415, 302, 3200, 867, 275, 16657, 302, 12247, 7422, 1013, 29992, 17, 11799, 4166, 329, 12892, 1805, 12926, 302, 13275, 34893, 295, 29992, 19, 204, 41012, 18843, 269, 7056, 75, 867, 1425, 275, 21437, 1683, 18, 4679, 557, 302, 1259, 348, 8348, 27088, 17, 1683, 6901, 3311, 599, 278, 71, 8203, 17, 329, 13972, 311, 47937, 437, 14898, 15474, 440, 11083, 28378, 19, 204, 41012, 18843, 269, 7056, 75, 17, 867, 275, 9217, 302, 18619, 18843, 269, 7056, 75, 17, 275, 1682, 2727, 25713, 302, 11053, 32, 4461, 13275, 34893, 295, 29992, 1704, 39927, 17, 1924, 1704, 8453, 2439, 4085, 32, 275, 300, 17019, 302, 275, 27184, 9592, 630, 275, 690, 17, 28659, 1325, 32386, 15436, 19, 204, 6031, 12098, 311, 13275, 18843, 269, 7056, 75, 3168, 348, 15048, 523, 273, 35100, 1887, 348, 1704, 566, 88, 6279, 523, 41276, 13022, 5024, 14057, 19, 388, 46, 14996, 311, 1895, 3850, 3126, 5167, 18843, 269, 7056, 75, 3252, 17, 388, 12964, 560, 44791, 11053, 311, 437, 18235, 7136, 4719, 35171, 1561, 17, 566, 2080, 12308, 273, 860, 3083, 4263, 292, 273, 6684, 1609, 7510, 15491, 523, 275, 13022, 2622, 617, 3343, 204, 5876, 599, 278, 71, 8203, 10571, 18843, 269, 7056, 75, 496, 566, 10497, 1742, 6976, 1153, 560, 275, 9604, 1025, 41693, 275, 565, 509, 13202, 18, 39, 10167, 18, 48176, 29404, 551, 12964, 10741, 275, 10252, 295, 46975, 66, 2549, 732, 17835, 19984, 5323, 273, 7319, 496, 27181, 292, 275, 3469, 302, 830, 6678, 19, 1346, 10407, 2585, 302, 565, 509, 13202, 17, 275, 565, 509, 13202, 18, 38, 17, 867, 16583, 302, 974, 17835, 5024, 14057, 17, 1101, 3311, 599, 278, 71, 8203, 2080, 43253, 18596, 11053, 311, 275, 13022, 18, 6593, 565, 509, 13202, 18, 39, 19, 388, 673, 2344, 566, 15536, 28527, 3007, 5167, 18843, 269, 7056, 75, 3252, 17, 388, 267, 3358, 39851, 523, 273, 3200, 928, 7168, 311, 275, 23382, 302, 13022, 19984, 3343, 204, 42955, 269, 7056, 75, 17, 9504, 273, 47064, 2318, 337, 17, 867, 1425, 437, 22329, 269, 352, 578, 21369, 302, 940, 13469, 430, 17, 329, 566, 20320, 311, 1308, 3311, 599, 278, 71, 8203, 440, 273, 2089, 496, 566, 2549, 732, 440, 28378, 292, 28827, 12429, 275, 4789, 18, 266, 1668, 5262, 4405, 302, 11053, 677, 11836, 1502, 523, 5024, 14057, 19, 334, 5832, 71, 2351, 24733, 1155, 13037, 496, 275, 2727, 25713, 4627, 566, 1784, 6083, 5024, 14057, 523, 970, 4042, 31, 1043, 17, 397, 1422, 1466, 7018, 3326, 292, 1017, 732, 5323, 273, 7018, 3326, 302, 3311, 599, 278, 71, 8203, 677, 4539, 4790, 32, 329, 1350, 17, 1698, 397, 437, 830, 18, 607, 7214, 630, 940, 13469, 430, 1466, 17434, 1043, 329, 397, 17, 630, 275, 1136, 17, 490, 867, 9002, 496, 1422, 2549, 444, 1236, 5634, 19, 204, 13203, 2089, 1784, 6584, 3311, 599, 278, 71, 8203, 1429, 690, 329, 490, 4230, 2590, 24217, 40632, 292, 11053, 17, 2219, 397, 490, 23617, 2964, 292, 11248, 19, 388, 30039, 4199, 18, 3533, 11566, 867, 508, 1085, 302, 3311, 599, 278, 71, 8203, 677, 6797, 5167, 18843, 269, 7056, 75, 5287, 16261, 336, 19, 322, 27, 14, 204, 5876, 599, 278, 71, 8203, 677, 1553, 728, 440, 871, 39685, 353, 12551, 311, 444, 7029, 17, 292, 1085, 17, 348, 1704, 1873, 10561, 19, 18619, 18843, 269, 7056, 75, 677, 42257, 13275, 9849, 266, 29992, 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, 867, 273, 7801, 607, 3311, 599, 278, 71, 8203, 24684, 19, 38689, 1704, 32305, 594, 566, 10869, 273, 2016, 1164, 480, 5034, 1765, 273, 28339, 17, 41693, 496, 11053, 1784, 3303, 444, 14219, 685, 311, 275, 548, 19, 56, 19, 334, 2016, 6802, 273, 15403, 311, 11053, 677, 1824, 17, 15250, 275, 3718, 496, 13275, 9849, 266, 867, 273, 852, 21264, 10927, 19, 322, 28, 14, 204, 7002, 490, 353, 808, 5665, 496, 18619, 18843, 269, 7056, 75, 1120, 444, 6432, 440, 3850, 448, 11707, 302, 808, 3477, 19, 2474, 353, 508, 388, 9476, 22864, 7, 448, 275, 31152, 375, 4894, 17, 1101, 353, 311, 275, 3060, 20976, 17, 273, 17567, 19, 204, 3070, 7008, 21125, 10547, 6860, 3850, 1051, 302, 275, 1913, 1607, 1880, 311, 9573, 448, 437, 8924, 8140, 31, 204, 7, 40494, 18843, 269, 7056, 75, 19, 6917, 13217, 292, 14825, 329, 275, 548, 19, 56, 2458, 275, 11394, 19972, 8885, 311, 1704, 11525, 11053, 329, 6802, 1526, 302, 275, 8721, 5382, 9094, 19, 828, 273, 10684, 13071, 353, 3250, 292, 9300, 17, 566, 2549, 3472, 275, 1682, 2727, 25713, 17, 329, 275, 17567, 1526, 302, 1259, 440, 275, 16933, 8924, 3680, 3522, 415, 40777, 10442, 1230, 2854, 3343, 204, 673, 4166, 7157, 6644, 292, 415, 40777, 10442, 1230, 2854, 677, 42691, 2352, 19, 334, 17225, 10428, 31, 388, 38, 6607, 17762, 3475, 21107, 29547, 630, 11343, 8452, 302, 32338, 382, 7178, 2113, 440, 18619, 18843, 269, 7056, 75, 17, 9348, 302, 26476, 17567, 24733, 1155, 13275, 18843, 269, 7056, 75, 3343, 322, 29, 14, 18619, 508, 1698, 14720, 630, 275, 11343, 8452, 302, 32338, 17, 1101, 1425, 23747, 17, 19804, 17, 22070, 329, 275, 4639, 302, 17058, 17, 4751, 5261, 19, 204, 3837, 677, 508, 3094, 5256, 311, 7493, 23861, 1880, 496, 275, 42708, 4886, 1631, 1307, 17, 1101, 572, 1425, 874, 311, 5190, 46472, 5805, 329, 8965, 311, 8732, 292, 19, 204, 15, 7609, 25377, 9008, 25881, 94, 329, 480, 8349, 19779, 7387, 1425, 33292, 497, 275, 42549, 1882, 275, 15411, 17451, 17, 10358, 2772, 292, 18442, 19, 9008, 25881, 94, 480, 913, 617, 705, 91, 842, 677, 14310, 36021, 329, 9348, 2747, 6484, 2925, 94, 17, 2080, 33292, 440, 3850, 17, 329, 11959, 1250, 2927, 1017, 2501, 311, 565, 13849, 9646, 30888, 17, 1273, 3420, 1182, 2804, 1784, 444, 9596, 31, 27376, 276, 17, 46704, 6033, 94, 17, 471, 80, 1133, 4732, 17, 329, 30838, 5352, 19, 204, 18558, 22265, 4042, 292, 1017, 2941, 2706, 2080, 13586, 329, 36021, 12894, 311, 407, 17, 1101, 9008, 25881, 94, 15366, 311, 9291, 292, 11053, 17, 754, 275, 4316, 5289, 19, 2474, 1784, 1675, 39631, 273, 27343, 17154, 17, 12254, 302, 415, 359, 46174, 3450, 78, 17, 42549, 17, 329, 1250, 1784, 874, 273, 9348, 6860, 33829, 1415, 1784, 11959, 874, 273, 9348, 6860, 19988, 656, 17, 1415, 1784, 3437, 719, 311, 444, 275, 8595, 373, 36572, 2061, 496, 7921, 13069, 19, 204, 22, 19, 959, 9997, 391, 363, 29386, 31, 10109, 1611, 657, 292, 6994, 302, 11053, 17, 560, 18619, 18843, 269, 7056, 75, 17, 415, 36049, 20002, 17, 10599, 17, 14297, 31, 25128, 18, 21, 18, 27, 3894, 18, 7788, 48729, 18, 30, 17, 415, 76, 19, 9039, 204, 23, 19, 501, 7816, 57, 17, 31965, 1452, 3249, 26109, 2267, 17, 6881, 302, 17567, 11270, 1944, 543, 17, 45499, 18, 1794, 1003, 322, 14562, 1504, 19850, 14, 204, 24, 19, 13275, 34893, 295, 29992, 17, 15222, 204, 25, 19, 334, 22219, 13275, 5973, 295, 29992, 322, 2132, 4049, 18, 1794, 5559, 659, 18878, 677, 20643, 204, 26, 19, 334, 15411, 27755, 17, 4596, 31, 18619, 18843, 269, 7056, 75, 17, 415, 36049, 20002, 17, 28309, 17, 14297, 31, 25128, 18, 21, 18, 2300, 18, 24, 2314, 27986, 18, 23, 17, 415, 76, 19, 31693, 18, 37005, 204, 27, 19, 28378, 2343, 3311, 599, 278, 71, 8203, 31, 673, 6487, 728, 7054, 8717, 8479, 2416, 38281, 273, 12893, 17, 4596, 22133, 81, 1333, 44355, 17, 36524, 280, 953, 416, 2343, 10866, 30579, 17, 21809, 17, 14297, 31, 500, 18, 6074, 1003, 18, 5645, 1641, 18, 30, 17, 415, 76, 19, 1607, 18, 10986, 204, 28, 19, 9997, 391, 363, 29386, 17, 18843, 269, 7056, 75, 17, 10599, 17, 415, 76, 19, 16595, 18, 26332, 204, 29, 19, 42691, 2352, 17, 4596, 415, 40777, 42086, 363, 10442, 1230, 2854, 17, 36524, 280, 953, 416, 2343, 10866, 30579, 17, 21349, 17, 14297, 31, 500, 18, 6074, 1003, 18, 6007, 5303, 18, 26, 17, 415, 76, 19, 10688, 0, 97, 41990, 84, 18734, 323, 40736, 3742, 673, 2427, 530, 41376, 338, 435, 97, 204, 97, 53, 1887, 13233, 3742, 40, 13355, 18734, 323, 3742, 29037, 2427, 530, 41376, 382, 3742, 3103, 3782, 97, 204, 29037, 2427, 530, 41376, 382, 322, 6950, 84, 1453, 1516, 14, 204, 29037, 2427, 530, 41376, 8392, 322, 38, 386, 1516, 18, 3027, 14488, 14, 204, 35734, 2427, 530, 41376, 382, 9963, 2427, 530, 41376, 14, 204, 35734, 2427, 530, 41376, 8392, 322, 10981, 18, 9313, 530, 41376, 14, 204, 16014, 1662, 275, 283, 675, 1017, 26912, 273, 901, 31, 204, 38, 353, 10048, 19, 565, 353, 508, 19, 204, 35395, 565, 353, 37443, 17, 382, 303, 879, 4627, 204, 9024, 1182, 36000, 1194, 332, 2617, 2617, 2617, 204, 4259, 1856, 332, 841, 1282, 36, 204, 13203, 1856, 566, 5187, 204, 13203, 353, 17, 14958, 382, 3315, 565, 19, 204, 582, 12247, 387, 19, 501, 27661, 17, 334, 502, 3278, 5802, 204, 38, 3554, 13849, 308, 4089, 358, 309, 7774, 354, 6464, 17, 3556, 448, 468, 728, 2156, 17, 27694, 2427, 530, 41376, 40808, 19, 3665, 618, 1020, 1182, 1483, 17, 448, 2590, 448, 1567, 328, 2018, 1417, 402, 1178, 329, 685, 1633, 49018, 17, 292, 275, 11056, 523, 275, 27153, 1453, 1516, 329, 275, 332, 386, 1516, 19, 8278, 17, 1877, 1429, 841, 21241, 963, 35690, 17, 572, 7188, 6186, 311, 3074, 719, 275, 28314, 302, 3161, 4342, 288, 302, 26638, 44295, 17, 275, 819, 1375, 773, 28121, 1098, 1493, 19, 1785, 7253, 523, 1098, 1493, 17, 508, 1698, 2404, 1250, 529, 3287, 5319, 17, 1101, 1425, 311, 19200, 275, 4263, 302, 24290, 13727, 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, 11091, 19, 204, 5399, 677, 275, 1844, 19, 592, 275, 3299, 3054, 5187, 12063, 2518, 17426, 521, 754, 5187, 1901, 8849, 12551, 496, 11091, 867, 18202, 15131, 560, 24369, 27956, 31, 275, 388, 47897, 4720, 292, 13720, 329, 4777, 92, 7, 3859, 302, 24702, 7156, 19, 19780, 271, 565, 10741, 332, 2404, 490, 867, 16599, 17, 308, 16739, 17, 329, 1182, 388, 2714, 3343, 40581, 3483, 17, 275, 17867, 3958, 3711, 275, 904, 2501, 17, 448, 6678, 22513, 23081, 496, 19259, 29341, 17, 7515, 17, 329, 8543, 3857, 11474, 437, 23980, 4263, 19, 15601, 17, 12717, 8119, 3053, 6481, 2589, 4960, 311, 13187, 496, 565, 10741, 332, 1698, 2404, 332, 867, 2861, 6186, 311, 42537, 292, 273, 1922, 14842, 348, 8543, 10769, 19, 1547, 353, 3303, 6028, 3060, 5726, 18385, 311, 378, 3143, 496, 565, 4230, 874, 1742, 4037, 630, 10080, 17, 521, 1182, 388, 2714, 5167, 1194, 332, 17, 521, 2219, 311, 29784, 496, 332, 329, 565, 6327, 7864, 336, 348, 10080, 19, 204, 3837, 1741, 444, 3277, 841, 1387, 516, 17, 521, 275, 3718, 496, 572, 529, 5726, 18, 3294, 14725, 329, 8235, 22144, 756, 17, 1101, 490, 353, 26744, 496, 1605, 970, 5020, 302, 275, 21209, 302, 11091, 2842, 11616, 311, 5966, 275, 11975, 12717, 8119, 3053, 302, 10998, 16315, 17, 448, 490, 869, 7716, 1048, 275, 2181, 19, 11453, 29755, 1178, 529, 40511, 5293, 2404, 754, 3171, 302, 808, 9206, 6965, 311, 444, 1048, 16075, 37004, 17, 6216, 1194, 6218, 19, 11328, 1429, 6016, 19, 828, 382, 4627, 496, 565, 353, 1182, 4185, 1194, 332, 17, 4230, 382, 1869, 496, 17, 560, 9151, 17, 275, 1964, 7716, 292, 273, 2501, 496, 30216, 565, 677, 14807, 1048, 332, 36, 28529, 17, 397, 382, 17929, 496, 332, 867, 2861, 4789, 18, 1549, 6149, 2518, 565, 10094, 292, 17, 11076, 2964, 565, 3848, 874, 311, 685, 18, 38001, 74, 346, 17, 412, 17, 329, 471, 348, 275, 1451, 13460, 36, 3242, 4501, 17, 572, 2887, 323, 335, 15987, 4516, 6432, 1169, 1502, 523, 275, 11750, 29449, 4738, 19, 334, 1844, 3237, 353, 496, 1855, 29449, 4738, 5111, 311, 444, 5202, 292, 275, 2501, 302, 273, 1182, 940, 671, 757, 316, 12130, 302, 275, 424, 19, 204, 3837, 11147, 685, 496, 2427, 530, 41376, 1098, 1493, 529, 437, 9764, 3220, 348, 1605, 5356, 348, 970, 10769, 19, 6867, 329, 46783, 17, 1429, 3060, 3094, 6709, 874, 1742, 3870, 1048, 275, 1673, 4542, 2181, 560, 1429, 6216, 16957, 7809, 19, 1547, 677, 18917, 311, 874, 3094, 424, 19, 10110, 17, 1422, 677, 1236, 34583, 496, 1098, 1493, 1466, 6216, 17598, 26638, 18, 3751, 375, 292, 275, 5287, 2427, 530, 41376, 329, 496, 468, 728, 337, 308, 4089, 1405, 13731, 275, 3466, 7341, 19, 2935, 618, 572, 4627, 1465, 13727, 329, 401, 18, 46351, 292, 808, 1561, 36, 204, 2310, 7253, 1043, 523, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 13797, 789, 4171, 9682, 1466, 14790, 12912, 292, 304, 18, 20411, 7187, 1429, 22959, 20675, 7486, 560, 42982, 80, 865, 14148, 23741, 311, 275, 2620, 302, 275, 1144, 57, 27621, 523, 1098, 1493, 19, 592, 275, 1352, 17, 1250, 9561, 4430, 275, 424, 6680, 292, 275, 4368, 17, 15131, 497, 3090, 1225, 2617, 1058, 1582, 21020, 29258, 26638, 13941, 7028, 322, 2572, 3735, 14, 329, 29258, 16434, 1048, 275, 3200, 302, 275, 23279, 84, 18734, 323, 19, 9076, 496, 275, 3948, 348, 26638, 21811, 2233, 353, 21895, 17, 754, 496, 275, 6556, 18001, 329, 37422, 292, 275, 26638, 21811, 1582, 529, 2219, 1182, 23470, 1194, 1250, 6743, 630, 1043, 44450, 19, 1765, 275, 2427, 530, 41376, 17, 29258, 16434, 11724, 273, 11992, 17, 1101, 10976, 21248, 2931, 19, 5468, 281, 26638, 21811, 867, 3264, 7870, 275, 2427, 530, 41376, 32, 1101, 490, 867, 18187, 2962, 1882, 275, 30247, 2427, 530, 41376, 17, 827, 630, 275, 3060, 1136, 302, 275, 3741, 19, 1765, 2077, 5356, 17, 275, 1182, 9764, 2679, 353, 275, 8200, 1283, 16434, 329, 21811, 19, 1765, 830, 6175, 827, 275, 30247, 2427, 530, 41376, 329, 19616, 42356, 17, 21811, 329, 16434, 529, 15087, 30165, 19, 1765, 275, 2753, 5672, 42377, 275, 30247, 2427, 530, 41376, 329, 19616, 42356, 17, 275, 3633, 353, 7563, 19, 2935, 677, 6186, 523, 36, 28090, 1194, 2073, 2077, 468, 22836, 4369, 2717, 17, 572, 1120, 6497, 278, 275, 27642, 17, 521, 630, 3406, 275, 9578, 17, 560, 15247, 3161, 22275, 94, 17, 10915, 1582, 31, 204, 5842, 302, 275, 1901, 2707, 11160, 311, 8335, 275, 719, 88, 329, 27346, 302, 26638, 18, 16058, 41474, 29604, 523, 17582, 17959, 18, 30832, 3188, 19, 4171, 970, 1381, 281, 319, 279, 657, 322, 19281, 7873, 329, 40144, 16339, 529, 31618, 2547, 3557, 329, 1741, 8776, 348, 848, 904, 292, 24314, 9901, 19, 1058, 11074, 869, 1429, 16031, 8622, 17, 3522, 275, 17959, 12336, 292, 275, 17959, 8318, 316, 322, 19281, 2328, 24, 14, 302, 31786, 1741, 444, 23663, 42201, 560, 30832, 19, 1058, 9493, 3821, 353, 3250, 2223, 18, 9973, 28405, 21584, 704, 19, 24791, 1182, 30708, 17, 17959, 8318, 316, 618, 42447, 504, 292, 1051, 302, 970, 3942, 17, 21584, 704, 329, 273, 26120, 704, 19, 4168, 30832, 4683, 529, 2223, 17, 273, 26120, 704, 353, 275, 44982, 24314, 798, 19, 332, 26120, 704, 353, 2202, 14353, 1194, 21584, 704, 19, 3355, 17, 18052, 496, 529, 5096, 311, 732, 273, 26120, 704, 874, 437, 12312, 1330, 30832, 4683, 529, 2223, 19, 1058, 353, 6680, 292, 275, 1582, 4166, 17, 22421, 497, 20225, 6455, 3772, 520, 19, 322, 24728, 789, 334, 1824, 4315, 5913, 17959, 4683, 329, 275, 30832, 20, 2837, 15988, 3726, 22563, 275, 5641, 3844, 291, 1841, 18734, 323, 19, 334, 1629, 4315, 5913, 275, 17976, 26638, 44295, 1048, 275, 1729, 3948, 19, 592, 9055, 17, 275, 29792, 1283, 18216, 3188, 329, 26638, 18, 12245, 9644, 353, 24003, 19, 791, 599, 18, 3751, 375, 5111, 311, 444, 22421, 311, 732, 4260, 21584, 704, 521, 273, 26120, 704, 292, 1017, 18335, 11470, 19, 4168, 275, 17959, 18, 30832, 3726, 3731, 17, 754, 770, 275, 26638, 18, 3751, 375, 19, 204, 4259, 12063, 273, 14392, 2909, 353, 32783, 10948, 19, 334, 388, 290, 10803, 29973, 7, 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, 819, 1375, 773, 28121, 1098, 1493, 5111, 311, 874, 3870, 16261, 8280, 2590, 292, 275, 15438, 2427, 530, 41376, 17, 830, 5337, 6028, 17, 8578, 292, 2013, 302, 275, 3718, 496, 17959, 4683, 1466, 630, 437, 830, 18, 834, 2223, 19, 20225, 6455, 3772, 520, 19, 2248, 275, 819, 1375, 773, 28121, 1098, 1493, 284, 2972, 299, 685, 1048, 275, 15438, 2427, 530, 41376, 17, 45117, 292, 958, 311, 9793, 18216, 3188, 19, 3846, 572, 874, 273, 9373, 329, 44005, 6797, 19, 10932, 302, 38573, 17, 572, 6571, 275, 11137, 302, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 4430, 440, 275, 424, 497, 20225, 6455, 3772, 520, 19, 348, 275, 23279, 84, 18734, 323, 19, 204, 673, 1563, 529, 9395, 38329, 19, 8879, 275, 7830, 302, 275, 23279, 84, 18734, 323, 17, 1629, 1924, 275, 15438, 2427, 530, 41376, 17, 830, 302, 2077, 5047, 529, 15087, 30165, 31, 29258, 16434, 17, 29258, 30978, 17, 329, 17959, 10879, 5187, 7510, 22890, 275, 7283, 302, 275, 20675, 302, 20225, 6455, 3772, 520, 19, 7054, 353, 17, 275, 1582, 5913, 496, 4744, 23279, 84, 18734, 323, 1098, 1493, 1466, 508, 10048, 440, 30832, 19, 2416, 275, 27804, 17, 29258, 16434, 329, 30978, 1696, 17959, 4683, 3060, 15087, 19, 3242, 440, 275, 16434, 20, 14449, 8245, 14299, 17, 808, 8200, 14646, 10867, 292, 275, 30247, 2427, 530, 41376, 19, 5512, 17, 1877, 275, 19616, 42356, 17, 275, 8200, 45157, 19, 48968, 329, 30978, 1696, 848, 904, 17, 440, 1855, 18348, 448, 17959, 4683, 5573, 19, 204, 2920, 770, 572, 8335, 830, 808, 36, 16575, 572, 17, 12063, 17, 874, 27425, 311, 11263, 12925, 13253, 302, 23524, 271, 3379, 329, 18995, 83, 2258, 275, 33338, 344, 311, 2909, 630, 275, 2641, 424, 36, 35305, 5086, 348, 496, 3303, 17, 382, 27383, 19, 204, 4259, 275, 1322, 353, 508, 10509, 3275, 19, 6867, 17, 572, 618, 488, 446, 10867, 275, 30978, 329, 16434, 14299, 19, 5468, 1493, 1336, 448, 1170, 40202, 329, 22621, 4840, 19, 1547, 353, 275, 22621, 4840, 5187, 521, 1429, 302, 1475, 5187, 496, 14863, 311, 4610, 26638, 30978, 19, 334, 424, 497, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 2248, 12356, 496, 275, 2427, 530, 41376, 329, 19616, 13233, 1466, 6327, 19412, 447, 10048, 2666, 348, 819, 1375, 773, 28121, 1098, 1493, 17, 440, 7353, 1101, 21248, 7529, 292, 16434, 19, 3846, 17, 2075, 275, 424, 1425, 8956, 353, 496, 275, 30247, 2427, 530, 41376, 329, 30247, 19616, 42356, 1466, 7051, 3286, 1876, 2666, 348, 273, 4539, 24290, 322, 1551, 38440, 3807, 14, 1627, 302, 1098, 1493, 17, 275, 26638, 44295, 19, 204, 673, 21705, 11414, 348, 1605, 424, 353, 24369, 27956, 560, 468, 728, 2156, 19, 361, 728, 337, 16434, 7051, 36193, 756, 7830, 292, 332, 386, 1516, 18, 3027, 14488, 690, 329, 15413, 17, 45113, 447, 17, 630, 275, 1144, 57, 19, 334, 468, 728, 2156, 11076, 2964, 7801, 580, 819, 1375, 773, 48909, 17, 521, 5148, 1169, 6323, 7740, 728, 1110, 19, 3433, 2842, 7117, 719, 4308, 292, 437, 5992, 542, 302, 26638, 318, 2809, 4428, 19, 1547, 29642, 2964, 444, 273, 24429, 496, 1170, 40202, 1098, 1493, 10891, 311, 32019, 448, 2518, 19, 1058, 15342, 22890, 2404, 275, 3798, 867, 24369, 27956, 302, 273, 4539, 13200, 11317, 17, 508, 437, 8543, 7443, 276, 15685, 311, 1098, 1493, 8628, 19, 204, 7020, 496, 5665, 17, 275, 17959, 5825, 5814, 1182, 7211, 19, 1785, 1519, 1698, 38930, 275, 15241, 13771, 11132, 496, 15438, 23279, 84, 18734, 323, 1098, 1493, 1466, 30832, 49039, 19, 334, 424, 529, 7493, 311, 275, 27804, 19, 56, 836, 270, 773, 28121, 16434, 329, 30978, 1696, 275, 17959, 5825, 497, 275, 1043, 14748, 302, 819, 1375, 773, 48909, 17, 630, 275, 7830, 302, 275, 14531, 6405, 2833, 323, 17, 1629, 1924, 275, 27153, 1453, 1516, 19, 3355, 17, 275, 5348, 17959, 22780, 302, 332, 386, 1516, 18, 3027, 14488, 690, 3756, 508, 722, 292, 273, 3310, 22780, 292, 29258, 30978, 2404, 468, 728, 337, 13727, 867, 2861, 7830, 311, 3074, 5148, 17, 23963, 299, 275, 14626, 19, 334, 3700, 2679, 3332, 275, 1144, 57, 353, 9047, 273, 5660, 302, 4109, 6126, 17, 928, 2950, 8235, 444, 15241, 16781, 630, 808, 1870, 302, 22888, 8352, 19, 4171, 6126, 1784, 2255, 31, 204, 70, 14, 334, 1419, 13876, 2151, 302, 4569, 717, 9172, 302, 17705, 273, 26120, 704, 1098, 1493, 17, 1702, 448, 275, 472, 1079, 1128, 30490, 17, 4467, 416, 23166, 30490, 17, 329, 412, 409, 295, 8996, 953, 30490, 20225, 6455, 14259, 5224, 204, 71, 14, 334, 1144, 57, 27621, 5398, 32, 204, 72, 14, 334, 12844, 302, 468, 728, 337, 13727, 5229, 275, 1144, 57, 32, 204, 73, 14, 334, 37492, 9924, 292, 17959, 19046, 1048, 275, 9772, 18, 9313, 530, 41376, 32, 329, 204, 74, 14, 334, 6465, 10262, 302, 23279, 84, 18734, 323, 21584, 704, 1091, 70, 560, 346, 13355, 18734, 323, 273, 26120, 29973, 1091, 70, 19, 204, 673, 5533, 1007, 6965, 311, 444, 496, 17, 311, 275, 13066, 1051, 618, 7490, 8543, 329, 24369, 6126, 292, 808, 1561, 17, 1855, 529, 3287, 19, 3355, 17, 13727, 329, 8543, 6126, 1741, 444, 23954, 292, 1792, 3942, 329, 630, 1792, 2666, 19, 1547, 353, 9764, 496, 29258, 329, 468, 728, 337, 9644, 14417, 311, 401, 8038, 348, 1465, 2846, 5672, 292, 275, 15438, 2427, 530, 41376, 17, 45117, 560, 7921, 18, 7038, 270, 36307, 302, 275, 2755, 318, 2809, 1391, 19, 3355, 17, 630, 1429, 917, 17, 24369, 27956, 6802, 275, 17976, 2291, 19, 4171, 424, 4894, 496, 29258, 9172, 22421, 311, 10180, 273, 26120, 704, 3756, 508, 31060, 3119, 275, 1136, 302, 275, 23279, 84, 18734, 323, 19, 28475, 311, 496, 690, 17, 819, 1375, 773, 28121, 1098, 1493, 15366, 2223, 17959, 4683, 19, 4087, 17, 2427, 530, 41376, 18216, 26405, 2950, 8335, 1017, 38719, 292, 275, 3469, 302, 468, 728, 337, 13727, 19, 204, 24049, 31, 361, 728, 337, 26638, 4393, 18, 3769, 497, 275, 502, 7085, 47393, 48114, 6423, 6531, 4245, 302, 19804, 13961, 23830, 4639, 19, 204, 1119, 60, 36893, 29488, 19, 22219, 5329, 332, 16111, 36893, 26, 1845, 19, 6547, 3566, 4064, 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, 4222, 7705, 16738, 19, 204, 14884, 275, 871, 298, 2833, 323, 29101, 402, 302, 16590, 853, 17, 15664, 10340, 17, 329, 378, 49123, 10891, 17, 275, 1901, 23470, 11499, 1882, 275, 2427, 530, 41376, 17, 867, 275, 1043, 14748, 302, 275, 35986, 6415, 17, 275, 1969, 6369, 40628, 19, 4596, 275, 1136, 302, 275, 2427, 530, 41376, 17, 273, 542, 302, 7504, 4968, 4840, 2080, 21749, 19, 204, 38, 649, 271, 3379, 17, 444, 280, 7398, 3379, 1824, 659, 904, 309, 7774, 354, 4434, 1466, 20312, 17, 448, 1466, 14676, 1110, 17, 308, 4089, 1405, 329, 318, 366, 6484, 1915, 19, 25022, 717, 4119, 302, 471, 366, 6484, 1915, 6743, 1882, 808, 690, 17, 329, 275, 9172, 471, 48945, 912, 843, 427, 30490, 329, 387, 5430, 651, 30490, 3472, 20312, 19, 334, 6563, 16024, 760, 27510, 1869, 15589, 29241, 292, 16434, 19, 31288, 28455, 7011, 640, 1702, 448, 26122, 13347, 3472, 2323, 19, 5468, 1493, 1466, 302, 18187, 7504, 3003, 19, 21909, 357, 812, 2076, 478, 4119, 322, 34555, 4853, 1312, 812, 2076, 27510, 14, 6743, 19, 4171, 1228, 497, 830, 3090, 357, 812, 2076, 27510, 560, 2545, 15131, 34482, 467, 17440, 17, 329, 17, 2090, 275, 23279, 1312, 812, 2076, 27510, 17, 529, 8235, 5096, 311, 5794, 292, 49031, 14003, 19, 204, 673, 13832, 26037, 447, 401, 2096, 23524, 271, 19405, 3074, 523, 308, 32494, 272, 7687, 17, 928, 867, 630, 1051, 690, 25564, 311, 273, 1688, 302, 21548, 5623, 1213, 19, 1058, 6733, 353, 1236, 6397, 6028, 1097, 19, 592, 4998, 311, 794, 395, 2096, 23524, 271, 19405, 17, 329, 2519, 401, 2096, 4840, 17, 1855, 440, 3700, 297, 3818, 3758, 17, 1422, 529, 3153, 3003, 1193, 292, 4549, 302, 7136, 9916, 17, 29293, 17, 7149, 7266, 329, 13990, 16926, 292, 928, 275, 297, 3818, 18, 2604, 2080, 3472, 10341, 754, 496, 1250, 15087, 24896, 73, 3153, 302, 275, 6405, 2833, 323, 346, 5823, 269, 3379, 19, 4171, 529, 17, 16428, 17, 3250, 388, 37341, 18, 3078, 269, 3379, 2948, 204, 9313, 530, 41376, 40808, 529, 15131, 2927, 719, 302, 468, 728, 2156, 17, 12479, 308, 4089, 1405, 440, 1051, 13708, 18, 19918, 23542, 329, 275, 904, 8016, 311, 273, 2637, 42719, 18, 4995, 4147, 19, 332, 2875, 6555, 2549, 444, 273, 12047, 292, 1853, 19, 361, 728, 2156, 18918, 15641, 17, 1901, 15072, 440, 275, 1340, 302, 911, 799, 24462, 30358, 19, 334, 4744, 2427, 530, 41376, 4840, 2090, 5973, 1661, 15514, 329, 10143, 664, 89, 4732, 1466, 10741, 1882, 275, 5287, 2427, 530, 41376, 560, 552, 7895, 298, 3379, 17, 6738, 5815, 18, 33709, 14043, 1153, 496, 302, 361, 811, 1518, 1098, 1493, 19, 471, 48382, 292, 275, 26100, 3618, 17, 1605, 1466, 437, 3287, 1085, 302, 275, 17582, 15785, 19, 204, 44464, 8810, 1081, 48818, 3472, 20441, 3332, 275, 4876, 329, 6469, 8206, 275, 1136, 302, 275, 3155, 17, 329, 7504, 35948, 1425, 6743, 1882, 808, 690, 19, 204, 673, 14748, 302, 35986, 6415, 18198, 10596, 6839, 13025, 11091, 17, 448, 275, 6415, 1376, 18537, 348, 7911, 1961, 19, 8624, 7504, 4119, 302, 18537, 15580, 329, 7988, 311, 13876, 1204, 17, 2864, 275, 17294, 3556, 31474, 329, 41102, 19, 204, 47482, 497, 273, 2875, 37598, 302, 21108, 488, 7398, 865, 634, 7198, 3391, 33734, 311, 275, 4722, 1004, 37422, 302, 9292, 18, 14301, 501, 3954, 92, 6495, 17, 275, 41124, 4825, 529, 6717, 1698, 560, 4449, 4119, 1702, 448, 34841, 329, 4005, 555, 416, 375, 204, 673, 3811, 6335, 1257, 30513, 329, 21454, 84, 1439, 14, 529, 2323, 17, 329, 2255, 25833, 302, 1855, 7497, 329, 33678, 4119, 19, 5860, 17582, 4840, 42696, 23980, 1302, 17, 1702, 448, 275, 571, 12047, 2695, 1118, 6335, 19, 204, 673, 29217, 10034, 70, 18, 4995, 8257, 3486, 478, 2797, 1257, 529, 3171, 8016, 17, 1017, 24290, 4263, 2545, 4768, 560, 275, 7255, 555, 345, 322, 81, 46539, 329, 30374, 789, 5028, 1007, 302, 31836, 317, 46539, 31060, 1025, 31605, 8785, 17582, 4840, 17, 275, 6178, 5376, 22817, 402, 4913, 30490, 17, 440, 5466, 302, 719, 311, 931, 6166, 329, 1182, 19, 204, 673, 382, 366, 31805, 865, 4913, 1257, 529, 18198, 8016, 17, 440, 1698, 273, 2875, 4316, 35409, 5779, 2772, 1924, 311, 275, 4744, 1085, 302, 275, 5086, 2427, 530, 41376, 19, 1547, 353, 5508, 496, 1250, 1466, 17224, 311, 8649, 311, 275, 717, 5217, 18, 8057, 45647, 8810, 1081, 6830, 19, 3433, 10564, 685, 2482, 2518, 275, 2427, 530, 41376, 15413, 19, 204, 53, 793, 6369, 4913, 88, 529, 6717, 560, 273, 542, 302, 717, 4840, 17, 2864, 275, 23236, 15803, 9779, 30490, 17, 346, 449, 349, 3418, 4913, 30490, 17, 329, 12479, 2482, 18, 656, 17401, 471, 1253, 703, 3804, 298, 1915, 1824, 789, 204, 44464, 11672, 20301, 362, 4825, 471, 354, 2348, 1257, 14, 31060, 348, 275, 1043, 690, 17, 1335, 273, 542, 302, 1182, 19036, 23279, 15160, 1516, 4119, 3524, 19, 334, 8469, 11672, 20301, 3402, 8527, 685, 4744, 292, 275, 2427, 530, 41376, 19, 334, 8862, 265, 29355, 4042, 5862, 529, 3094, 4240, 348, 275, 11370, 18, 7309, 11672, 4434, 17, 1429, 302, 928, 322, 74, 19, 76, 19, 22473, 2809, 2348, 354, 17, 1998, 16800, 2348, 354, 14, 21851, 12479, 1302, 19, 4171, 31605, 8785, 11672, 20301, 3402, 22064, 2273, 333, 20559, 523, 20078, 557, 38972, 292, 275, 1729, 2501, 496, 3403, 7504, 11672, 20301, 3402, 1120, 27487, 437, 794, 76, 3432, 30137, 322, 17538, 448, 273, 27633, 4733, 521, 306, 22703, 2115, 742, 14, 496, 7881, 275, 2263, 311, 7475, 19, 204, 41, 21507, 88, 329, 11340, 204, 18365, 275, 871, 298, 2833, 323, 17, 275, 2427, 530, 41376, 18852, 353, 26476, 292, 275, 7458, 26317, 560, 275, 9920, 302, 4382, 38972, 17, 17582, 45781, 17, 329, 19731, 284, 476, 865, 4913, 88, 19, 8624, 717, 3003, 302, 38972, 21749, 630, 808, 690, 19, 20462, 275, 8595, 302, 275, 16401, 1372, 17, 275, 6563, 366, 6369, 4913, 88, 329, 24733, 3228, 1915, 10564, 685, 17, 1335, 717, 1533, 90, 2076, 478, 38972, 17, 12361, 275, 313, 12872, 865, 4913, 1257, 17, 10891, 311, 18390, 1282, 292, 501, 3954, 19505, 19361, 17, 1101, 6802, 10690, 292, 39522, 402, 1257, 19, 334, 903, 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, 756, 10866, 76, 865, 4913, 1257, 1466, 10741, 560, 275, 21723, 9739, 24915, 1346, 11825, 342, 3804, 44242, 19, 334, 23132, 269, 6147, 1257, 322, 42195, 336, 38972, 14, 21749, 329, 18390, 5311, 292, 3242, 78, 22794, 8495, 1101, 322, 784, 514, 497, 1051, 521, 970, 2717, 578, 4840, 14, 529, 7843, 13762, 19, 334, 415, 714, 94, 331, 19245, 865, 4913, 1257, 5111, 311, 874, 1742, 27280, 9122, 292, 3272, 19, 6393, 27277, 17, 275, 1901, 20312, 329, 17775, 302, 275, 2427, 530, 41376, 23312, 45648, 1466, 275, 794, 3040, 24915, 521, 83, 418, 760, 478, 38972, 17, 12361, 275, 2725, 2554, 5553, 696, 478, 2797, 1915, 329, 296, 9120, 291, 478, 2797, 1516, 2238, 17, 830, 302, 928, 12156, 45372, 2877, 12872, 3272, 19, 204, 32790, 275, 275, 2076, 478, 34482, 45648, 1422, 867, 437, 44043, 15046, 12772, 302, 3403, 329, 2637, 7464, 18, 4995, 4840, 17, 20313, 497, 275, 21108, 279, 33901, 478, 15977, 3804, 14414, 17, 12984, 865, 4913, 88, 17, 329, 15256, 87, 1311, 865, 4913, 88, 17, 1924, 275, 12168, 18, 25163, 46654, 18, 7924, 19180, 355, 266, 7113, 366, 1915, 311, 275, 7464, 18, 4995, 521, 83, 418, 509, 449, 865, 4913, 88, 329, 275, 769, 352, 10854, 414, 1705, 865, 4913, 88, 19, 2439, 25801, 1605, 12168, 311, 3403, 4840, 1466, 437, 29621, 933, 302, 11340, 329, 25850, 18, 4995, 14732, 32846, 19, 23624, 17, 1882, 275, 2427, 530, 41376, 490, 1784, 874, 1742, 13337, 311, 6721, 1273, 38972, 15413, 329, 11340, 7988, 17, 1702, 353, 275, 46954, 1283, 1475, 19, 204, 673, 11340, 5111, 311, 874, 22568, 275, 415, 476, 865, 4913, 88, 19731, 45781, 14, 5634, 3498, 311, 27621, 19, 3242, 275, 2427, 530, 41376, 23160, 3947, 275, 415, 476, 865, 4913, 88, 29241, 39868, 17, 3119, 630, 275, 1136, 302, 275, 3155, 1698, 1051, 521, 970, 995, 5823, 608, 21108, 4840, 322, 53, 476, 291, 40003, 17, 3386, 310, 95, 404, 395, 269, 37997, 14, 14893, 19, 204, 6350, 717, 30137, 4119, 1425, 15580, 1882, 808, 690, 17, 2864, 275, 2327, 7497, 4119, 302, 25948, 4188, 1325, 1493, 17, 28467, 398, 6624, 329, 1898, 363, 37970, 14, 928, 6743, 1882, 275, 4210, 2427, 530, 41376, 19, 204, 673, 2427, 530, 41376, 18, 57, 48064, 8146, 16148, 204, 673, 2427, 530, 41376, 329, 275, 5641, 23279, 84, 18734, 323, 867, 10342, 311, 437, 1136, 560, 1051, 302, 275, 8595, 3284, 1718, 46457, 302, 830, 690, 17, 275, 1144, 18, 57, 1643, 521, 11221, 23279, 84, 18734, 323, 27621, 19, 14614, 1051, 4315, 302, 830, 6555, 9172, 10564, 685, 17, 2864, 38972, 17, 1910, 17582, 45781, 17, 4569, 2238, 302, 4725, 70, 323, 11340, 17, 275, 23524, 271, 3201, 329, 1901, 444, 280, 7398, 704, 24266, 281, 760, 27510, 17, 468, 728, 337, 4777, 1015, 17, 329, 1910, 41985, 19, 204, 28813, 302, 10224, 13673, 302, 19616, 35201, 5187, 334, 2427, 530, 41376, 18852, 204, 673, 2427, 530, 41376, 18852, 204, 9313, 530, 41376, 2304, 13, 1719, 19, 30, 43322, 14, 204, 20329, 12367, 323, 2156, 570, 275, 2427, 530, 41376, 39784, 302, 12448, 204, 13936, 36625, 31, 3431, 366, 10948, 10750, 329, 15222, 874, 3094, 17, 3060, 16863, 6214, 523, 275, 2427, 530, 41376, 19, 2427, 530, 41376, 313, 2939, 19779, 32091, 34546, 94, 869, 10660, 23755, 34546, 323, 1483, 329, 1429, 10105, 19, 334, 5481, 11383, 11208, 7136, 4719, 23755, 34546, 94, 17, 630, 273, 2202, 13862, 1870, 19, 5610, 5337, 2427, 530, 41376, 869, 3060, 2590, 18, 39532, 5444, 329, 1429, 12076, 3821, 19, 1785, 1020, 275, 19309, 302, 275, 4245, 22144, 1070, 447, 297, 2477, 5187, 1101, 17, 1675, 17, 572, 529, 3060, 8235, 22144, 756, 19, 332, 16111, 21, 2682, 25934, 0, 9099, 275, 4628, 31, 4236, 20, 2177, 204, 204, 673, 2073, 353, 368, 19, 2416, 3126, 808, 17, 4030, 302, 6249, 448, 4854, 19, 592, 808, 1322, 17, 4236, 6167, 560, 4236, 9329, 368, 19, 4168, 275, 7145, 329, 5081, 529, 1936, 17, 275, 2073, 353, 4501, 368, 17, 14958, 1855, 529, 2140, 521, 1855, 529, 2917, 19, 828, 1051, 353, 2917, 17, 275, 2073, 1784, 444, 338, 22, 19, 204, 204, 3070, 1763, 17, 4236, 20, 2177, 11388, 311, 368, 20, 22, 17, 928, 9329, 368, 19, 3355, 17, 397, 275, 4628, 867, 4236, 20, 22, 17, 275, 2073, 1784, 444, 4236, 19, 716, 204, 837, 4303, 17, 1330, 4636, 440, 6249, 17, 490, 677, 6456, 311, 9356, 496, 275, 7145, 4504, 275, 542, 302, 4099, 17, 329, 275, 5081, 4504, 2075, 872, 529, 11375, 19, 1058, 3773, 618, 444, 6310, 311, 4998, 329, 904, 2758, 440, 6249, 19, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 531, 1498, 532, 5006, 17, 1884, 204, 531, 2573, 532, 5782, 204, 531, 48238, 532, 300, 31238, 204, 204, 8, 968, 3454, 204, 676, 19190, 730, 24323, 13, 325, 17, 5782, 330, 204, 264, 320, 5346, 348, 9524, 730, 1987, 1279, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 22, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 22, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 23, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 23, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 24, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 24, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 25, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 25, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 26, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 26, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 22, 289, 388, 4270, 1544, 7753, 439, 271, 22, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 23, 289, 388, 4270, 1544, 7753, 439, 271, 23, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 24, 289, 388, 4270, 1544, 7753, 439, 271, 24, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 25, 289, 388, 4270, 1544, 7753, 439, 271, 25, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 26, 289, 388, 4270, 1544, 7753, 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, 439, 271, 26, 7, 204, 264, 21060, 22357, 68, 42, 2959, 1053, 289, 388, 27078, 25835, 7, 204, 264, 39249, 22357, 68, 42, 2959, 1053, 289, 388, 10215, 1396, 25835, 7, 204, 264, 361, 6217, 3249, 68, 48, 3057, 10310, 68, 3787, 289, 388, 6552, 340, 47326, 3787, 7, 204, 264, 361, 6217, 3249, 68, 48, 3057, 10310, 68, 2985, 289, 388, 6552, 340, 47326, 2985, 7, 204, 264, 9080, 53, 6007, 24, 289, 388, 4701, 53, 6007, 24, 7, 204, 204, 676, 392, 420, 70, 11176, 88, 13, 325, 17, 5782, 330, 204, 264, 320, 5346, 348, 392, 420, 70, 14077, 1279, 204, 264, 10028, 11595, 68, 35002, 289, 388, 877, 70, 68, 10782, 7, 204, 264, 10028, 11595, 68, 14237, 27030, 289, 388, 877, 70, 68, 25457, 7, 204, 204, 676, 36433, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 2616, 9309, 3779, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 394, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 264, 741, 1164, 5006, 204, 268, 334, 741, 311, 2616, 19, 204, 264, 1988, 1164, 726, 204, 268, 334, 1988, 726, 19, 204, 204, 264, 10523, 31, 204, 264, 5555, 204, 264, 1660, 374, 204, 268, 10423, 273, 2875, 1660, 292, 275, 1988, 19, 204, 264, 1523, 13, 83, 34, 1003, 68, 1207, 14, 204, 268, 2466, 275, 1988, 348, 300, 3214, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 9524, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 275, 36433, 726, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 9524, 730, 1164, 19190, 730, 24323, 204, 305, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 268, 48238, 68, 10782, 1164, 1109, 204, 305, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 268, 320, 204, 268, 370, 19, 28917, 730, 289, 9524, 730, 204, 268, 370, 19, 877, 70, 68, 10782, 289, 48238, 68, 10782, 204, 268, 370, 19, 2539, 289, 370, 806, 18125, 68, 2539, 374, 204, 268, 370, 19, 7107, 289, 370, 806, 18125, 68, 7107, 374, 204, 204, 264, 436, 906, 18125, 68, 2539, 13, 327, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 968, 275, 741, 311, 2616, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 5006, 204, 305, 334, 741, 311, 2616, 19, 204, 268, 320, 204, 268, 314, 20786, 392, 420, 70, 397, 508, 8905, 204, 268, 397, 508, 370, 19, 877, 70, 68, 10782, 31, 204, 305, 1127, 19, 4969, 1166, 15890, 47994, 1557, 68, 37287, 3285, 11595, 1339, 289, 388, 22, 7, 204, 822, 268, 314, 968, 275, 741, 974, 392, 420, 70, 204, 268, 1642, 83, 31238, 374, 204, 268, 436, 283, 13, 89, 31, 818, 17, 610, 31, 645, 19, 766, 17, 724, 31, 818, 14, 393, 645, 19, 766, 31, 204, 305, 320, 204, 305, 334, 741, 311, 2616, 19, 204, 204, 305, 4435, 31, 204, 305, 6036, 204, 305, 265, 1164, 818, 204, 485, 334, 690, 19, 204, 305, 610, 1164, 645, 19, 766, 204, 485, 334, 1259, 19, 204, 305, 724, 1164, 818, 204, 485, 334, 3918, 19, 204, 204, 305, 475, 31, 204, 305, 5555, 204, 305, 645, 19, 766, 204, 485, 334, 5442, 302, 275, 1259, 19, 204, 305, 320, 204, 305, 407, 724, 540, 610, 204, 204, 268, 314, 977, 275, 741, 204, 268, 906, 289, 283, 13, 21, 19, 21, 17, 645, 19, 269, 24713, 68, 22, 73, 13, 22, 19, 21, 659, 338, 21, 19, 3222, 14, 204, 268, 407, 283, 204, 204, 264, 436, 906, 18125, 68, 7107, 13, 327, 14, 393, 726, 31, 204, 268, 320, 204, 268, 968, 275, 1988, 726, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 726, 204, 305, 334, 1988, 726, 19, 204, 268, 320, 204, 268, 314, 4390, 275, 3600, 6500, 204, 268, 532, 17940, 80, 369, 204, 268, 497, 17940, 80, 369, 19, 14600, 35603, 532, 48238, 204, 204, 268, 314, 763, 275, 2755, 46773, 204, 268, 46773, 289, 463, 16448, 3925, 417, 29388, 11355, 348, 11355, 292, 17940, 80, 369, 19, 505, 68, 2880, 1387, 9447, 204, 204, 268, 314, 763, 275, 11355, 850, 204, 268, 11355, 68, 4621, 289, 46773, 64, 327, 19, 28917, 730, 19, 876, 66, 204, 204, 268, 314, 666, 275, 1988, 726, 204, 268, 407, 11355, 68, 4621, 13, 327, 19, 2539, 17, 500, 19, 21, 17, 645, 19, 269, 24713, 68, 22, 73, 13, 22, 19, 21, 659, 3737, 34, 2422, 21, 19, 3222, 18671, 373, 34, 21, 19, 3222, 14, 204, 204, 264, 436, 1660, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10423, 273, 2875, 1660, 292, 275, 1988, 19, 204, 268, 320, 204, 268, 370, 19, 7107, 19, 2290, 374, 204, 204, 264, 436, 1523, 13, 327, 17, 300, 31, 421, 289, 931, 68, 1207, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 1988, 348, 300, 3214, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 300, 1164, 421, 17, 1448, 204, 305, 334, 542, 302, 3214, 311, 1523, 322, 2305, 353, 931, 68, 1207, 789, 204, 268, 320, 204, 268, 397, 370, 19, 877, 70, 68, 10782, 31, 204, 305, 370, 19, 7107, 19, 2290, 13, 83, 34, 83, 14, 204, 268, 902, 31, 204, 305, 348, 906, 292, 933, 13, 83, 330, 204, 485, 370, 19, 7107, 19, 2290, 374, 204, 204, 461, 3219, 68, 43293, 11051, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 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, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 407, 36433, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 204, 461, 690, 68, 43293, 11051, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 407, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 204, 461, 3219, 68, 834, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 264, 407, 11355, 204, 204, 461, 690, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 834, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 204, 461, 3219, 68, 834, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 3607, 31, 392, 420, 70, 11176, 88, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 8862, 719, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 3607, 1164, 392, 420, 70, 11176, 88, 204, 268, 334, 392, 420, 70, 2291, 311, 732, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 48238, 68, 10782, 289, 48238, 68, 3607, 2167, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 14237, 27030, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 264, 314, 39078, 719, 906, 83, 4593, 204, 264, 11355, 19, 2290, 13, 83, 34, 23, 14, 204, 264, 407, 11355, 204, 204, 461, 690, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 3607, 31, 392, 420, 70, 11176, 88, 14, 393, 443, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 8862, 719, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 3607, 1164, 392, 420, 70, 11176, 88, 204, 268, 334, 392, 420, 70, 2291, 311, 732, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 834, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 17, 48238, 68, 3607, 14, 204, 264, 11355, 19, 1777, 374, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 9524, 730, 289, 19190, 730, 24323, 19, 28782, 3249, 68, 48, 3057, 10310, 68, 2985, 204, 264, 48238, 68, 3607, 289, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 35002, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 3607, 564, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 35002, 14, 204, 264, 11355, 19, 1777, 374, 204, 0, 33460, 11543, 84, 716, 204, 12385, 31, 22427, 273, 1965, 6477, 497, 11077, 324, 605, 11339, 3416, 311, 11339, 25745, 19, 204, 204, 14426, 16889, 31, 204, 14342, 123, 289, 322, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 105, 20552, 105, 14, 204, 204, 31332, 288, 31, 204, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 204, 204, 23886, 302, 9048, 11543, 84, 31, 204, 204, 22, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 8473, 20552, 105, 17106, 46892, 204, 23, 19, 20552, 105, 17106, 46892, 22608, 248, 20552, 105, 11966, 628, 204, 24, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 8473, 20552, 105, 11966, 628, 204, 25, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 20552, 105, 11966, 628, 204, 26, 19, 24271, 123, 289, 322, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 105, 20552, 105, 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, 204, 27, 19, 36445, 228, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 20552, 105, 11966, 628, 8473, 24271, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 24063, 204, 28, 19, 322, 36901, 11072, 237, 14342, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 24063, 204, 29, 19, 322, 14342, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 14, 204, 30, 19, 322, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 14, 204, 1003, 19, 322, 36901, 11072, 237, 8473, 322, 29299, 11966, 322, 20654, 11069, 36901, 14, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 602, 204, 1641, 19, 47387, 11966, 628, 204, 1258, 19, 322, 29299, 11966, 628, 8473, 322, 29299, 11966, 16001, 24271, 123, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 602, 204, 2353, 19, 322, 29299, 11966, 16001, 24271, 123, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 14, 204, 2300, 19, 322, 36901, 11072, 237, 8473, 322, 29299, 11966, 322, 20654, 11069, 36901, 14, 22608, 248, 47387, 11966, 16001, 24271, 123, 602, 204, 1909, 19, 322, 36901, 11072, 237, 8473, 322, 20654, 11069, 36901, 14, 289, 16001, 24271, 123, 14, 204, 1845, 19, 5796, 20654, 11069, 36901, 14, 289, 16001, 24271, 123, 8473, 322, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 602, 204, 2314, 19, 322, 36901, 11072, 237, 8473, 322, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 602, 204, 2132, 19, 322, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 602, 204, 204, 1834, 7815, 12052, 273, 1965, 6477, 497, 11077, 324, 605, 11339, 3416, 311, 11339, 25745, 19, 334, 8864, 5628, 4569, 3214, 17, 974, 4109, 31138, 329, 11893, 311, 7087, 275, 1965, 6477, 19, 334, 896, 3214, 10649, 11263, 496, 275, 741, 24271, 123, 353, 273, 1965, 6477, 497, 275, 758, 302, 11077, 324, 605, 11339, 12827, 302, 45822, 311, 275, 758, 302, 11339, 25745, 302, 45822, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 204, 1834, 3467, 3416, 719, 275, 12896, 50, 3611, 1650, 17, 928, 25006, 2388, 497, 1068, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 17, 1020, 68, 9290, 204, 647, 1127, 204, 204, 461, 1151, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 4578, 302, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4578, 302, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 329, 1151, 275, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 1583, 508, 1337, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 3026, 204, 204, 461, 636, 68, 16299, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 1945, 9912, 348, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 458, 302, 3146, 1987, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1945, 9912, 204, 264, 407, 551, 204, 268, 379, 76, 24577, 491, 204, 268, 379, 5770, 491, 204, 268, 379, 23503, 491, 204, 268, 379, 28567, 68, 15112, 68, 9277, 2262, 491, 204, 268, 379, 3109, 491, 204, 268, 379, 3109, 6302, 491, 204, 264, 2437, 204, 204, 461, 3219, 68, 5580, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 12896, 50, 3611, 1650, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1359, 719, 275, 1650, 204, 268, 3219, 13, 204, 305, 588, 833, 9277, 27839, 491, 204, 305, 2585, 833, 21, 19, 21, 19, 22, 491, 204, 305, 2342, 833, 16175, 2388, 497, 1068, 491, 204, 305, 2482, 68, 2749, 34, 976, 68, 553, 611, 24235, 19, 7648, 2008, 204, 305, 2799, 833, 12967, 595, 319, 95, 491, 204, 305, 2799, 68, 2302, 833, 16667, 37, 16667, 45643, 95, 19, 1453, 491, 204, 305, 1779, 833, 3189, 1963, 8750, 19, 1453, 20, 2070, 319, 9598, 1054, 20, 9277, 27839, 491, 204, 305, 9912, 34, 2269, 68, 9290, 2144, 204, 305, 6348, 68, 11729, 34, 505, 68, 16299, 2144, 204, 305, 11195, 833, 12570, 491, 204, 305, 16674, 3603, 204, 485, 379, 18427, 5997, 18220, 23655, 5997, 6341, 1154, 491, 204, 305, 7241, 204, 268, 1179, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 3219, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 3219, 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, 741, 1330, 275, 3467, 353, 1523, 5104, 204, 264, 3219, 68, 5580, 374, 204, 0, 461, 1900, 68, 6452, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 437, 2073, 782, 560, 21852, 379, 52, 677, 311, 379, 38, 12305, 40247, 12, 1609, 523, 275, 1277, 302, 275, 537, 782, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 3822, 275, 1277, 2712, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4489, 2073, 782, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1034, 2073, 782, 204, 264, 1034, 68, 6452, 289, 379, 38, 12305, 40247, 12, 204, 615, 264, 314, 888, 275, 1277, 2712, 1283, 275, 537, 782, 329, 275, 1034, 2073, 204, 264, 1277, 68, 7728, 289, 1245, 13, 768, 68, 1031, 14, 338, 1245, 13, 772, 68, 6452, 14, 204, 615, 264, 314, 828, 275, 537, 782, 353, 6397, 1194, 521, 1936, 311, 275, 1034, 2073, 17, 6283, 379, 52, 677, 204, 264, 397, 1277, 68, 7728, 3721, 500, 31, 204, 268, 314, 5230, 379, 52, 677, 311, 275, 1034, 2073, 1609, 523, 275, 1277, 2712, 204, 268, 2073, 289, 1034, 68, 6452, 465, 379, 52, 12, 540, 322, 1205, 68, 7728, 465, 368, 14, 204, 264, 902, 31, 204, 268, 314, 828, 275, 537, 782, 353, 14276, 17, 407, 275, 1034, 2073, 204, 268, 2073, 289, 1034, 68, 6452, 204, 615, 264, 407, 2073, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 275, 537, 782, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 19, 204, 264, 320, 204, 264, 314, 763, 275, 537, 782, 497, 275, 575, 204, 264, 407, 537, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12015, 437, 2073, 782, 1609, 523, 275, 575, 677, 537, 329, 5538, 490, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 2069, 275, 2073, 782, 204, 268, 2073, 289, 1900, 68, 6452, 13, 768, 68, 1031, 14, 204, 822, 268, 314, 1198, 275, 2073, 782, 204, 268, 456, 13, 6452, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 5518, 68, 339, 68, 655, 13, 4202, 31, 394, 289, 388, 2101, 273, 458, 302, 1892, 5289, 560, 5685, 31, 2810, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 4143, 273, 458, 302, 1892, 497, 537, 17, 19318, 1475, 17, 329, 2584, 275, 2282, 458, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 1243, 311, 388, 2101, 273, 458, 302, 1892, 5289, 560, 5685, 31, 5161, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 2282, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 1606, 537, 497, 275, 575, 329, 3404, 490, 1025, 273, 458, 302, 1892, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 305, 314, 3289, 311, 1814, 275, 537, 1025, 273, 458, 302, 1892, 204, 305, 421, 68, 655, 289, 551, 339, 13, 78, 14, 348, 296, 292, 575, 68, 768, 19, 1590, 6485, 204, 305, 314, 4641, 275, 458, 329, 407, 490, 204, 305, 407, 2282, 13, 339, 68, 655, 14, 204, 268, 827, 987, 31, 204, 305, 314, 828, 275, 537, 2950, 444, 6004, 1025, 273, 458, 302, 1892, 17, 3176, 275, 575, 311, 810, 2528, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 458, 302, 1892, 5289, 560, 5685, 1280, 204, 204, 461, 5408, 68, 5518, 68, 7518, 13, 655, 22, 31, 458, 64, 339, 648, 458, 23, 31, 458, 64, 339, 694, 393, 1109, 31, 204, 264, 320, 204, 264, 28079, 970, 2282, 3330, 329, 2584, 959, 397, 1250, 529, 1936, 17, 1078, 2130, 19, 204, 204, 264, 457, 31, 204, 268, 458, 22, 322, 655, 64, 339, 1037, 334, 1043, 2282, 458, 19, 204, 268, 458, 23, 322, 655, 64, 339, 1037, 334, 1350, 2282, 458, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 3330, 529, 1936, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 8139, 275, 970, 3330, 329, 407, 275, 722, 204, 264, 407, 458, 22, 564, 458, 23, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1523, 275, 2548, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 542, 302, 683, 2910, 497, 275, 575, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 771, 68, 804, 68, 3871, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 485, 397, 771, 68, 804, 68, 3871, 2186, 500, 31, 204, 895, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 485, 902, 31, 204, 895, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 2140, 1534, 1280, 204, 822, 268, 314, 2466, 848, 683, 1322, 204, 268, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 305, 314, 1606, 275, 970, 3330, 497, 275, 575, 204, 305, 458, 22, 289, 1151, 68, 5518, 68, 339, 68, 655, 499, 2101, 275, 1043, 458, 302, 1892, 31, 2810, 204, 305, 458, 23, 289, 1151, 68, 5518, 68, 339, 68, 655, 499, 2101, 275, 1350, 458, 302, 1892, 31, 2810, 204, 305, 314, 8139, 275, 3330, 329, 456, 275, 722, 204, 305, 456, 499, 38513, 529, 1936, 7, 397, 5408, 68, 5518, 68, 7518, 13, 655, 22, 17, 458, 23, 14, 902, 388, 38513, 529, 508, 1936, 431, 204, 264, 827, 1319, 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, 448, 318, 31, 204, 268, 314, 41797, 1169, 13504, 2805, 329, 456, 437, 908, 943, 204, 268, 456, 13, 75, 7, 2021, 13504, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 532, 2399, 204, 204, 8, 666, 273, 5959, 2399, 4712, 204, 4216, 289, 2399, 19, 20263, 374, 204, 204, 204, 37, 4216, 19, 2741, 611, 4776, 68, 2307, 534, 204, 461, 1900, 68, 2307, 13, 876, 31, 394, 14, 393, 933, 31, 204, 264, 320, 204, 264, 2069, 273, 933, 497, 500, 311, 275, 800, 700, 19, 204, 204, 264, 457, 31, 204, 268, 700, 322, 325, 330, 334, 1136, 700, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 268, 933, 31, 332, 933, 726, 497, 500, 311, 275, 800, 700, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 497, 500, 311, 275, 700, 204, 268, 407, 933, 13, 339, 13, 876, 14, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 437, 1392, 933, 204, 268, 407, 933, 13, 21, 14, 204, 204, 204, 37, 4216, 19, 2741, 611, 4776, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 534, 204, 461, 1900, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 13, 876, 31, 394, 17, 1136, 31, 421, 289, 720, 14, 393, 933, 31, 204, 264, 320, 204, 264, 2069, 273, 933, 497, 275, 800, 1012, 700, 311, 275, 1136, 700, 19, 204, 204, 264, 457, 31, 204, 268, 700, 322, 325, 330, 334, 1012, 700, 302, 275, 933, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 700, 302, 275, 933, 19, 1243, 311, 720, 19, 204, 204, 264, 475, 31, 204, 268, 933, 31, 332, 933, 726, 497, 275, 1012, 700, 311, 275, 1136, 700, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 497, 275, 700, 311, 275, 1136, 204, 268, 407, 933, 13, 339, 13, 876, 659, 1136, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 437, 1392, 933, 204, 268, 407, 933, 13, 21, 17, 1136, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 204, 204, 37, 4216, 19, 2741, 611, 360, 68, 6124, 68, 25073, 68, 5053, 534, 204, 461, 353, 68, 6124, 68, 25073, 68, 5053, 13, 6124, 31, 394, 17, 3442, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 6374, 353, 3114, 1194, 521, 1936, 311, 275, 3442, 19, 204, 204, 264, 457, 31, 204, 268, 6374, 322, 325, 330, 334, 6374, 700, 19, 204, 268, 3442, 322, 325, 330, 334, 3442, 700, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 6374, 353, 3114, 1194, 521, 1936, 311, 275, 3442, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 6374, 329, 3442, 311, 1892, 329, 5408, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 6374, 329, 3442, 311, 1892, 329, 5408, 204, 268, 407, 421, 13, 6124, 14, 3721, 421, 13, 5053, 14, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 1078, 204, 268, 407, 1078, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 6981, 204, 264, 456, 13, 655, 13, 4776, 68, 2307, 499, 1003, 28722, 226, 314, 3215, 31, 933, 13, 21, 17, 931, 14, 204, 264, 456, 13, 655, 13, 4776, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 499, 26, 528, 931, 3694, 226, 314, 3215, 31, 933, 13, 26, 17, 2958, 14, 204, 264, 456, 13, 360, 68, 6124, 68, 25073, 68, 5053, 499, 26, 528, 388, 24, 3687, 226, 314, 3215, 31, 959, 204, 264, 456, 13, 360, 68, 6124, 68, 25073, 68, 5053, 499, 24, 528, 388, 26, 3687, 226, 314, 3215, 31, 1078, 204, 0, 658, 10721, 311, 15935, 204, 204, 18464, 1027, 1173, 275, 3633, 1283, 273, 1085, 329, 275, 4835, 19, 1765, 1763, 17, 397, 572, 874, 6699, 15225, 329, 2327, 302, 1475, 529, 9492, 440, 2263, 17, 275, 4628, 496, 4504, 275, 542, 302, 9492, 15225, 353, 571, 20, 27, 19, 204, 204, 837, 808, 4628, 31, 204, 18, 334, 542, 523, 1913, 17, 571, 17, 353, 3250, 275, 930, 17127, 18501, 1547, 14589, 451, 1662, 1910, 3576, 302, 275, 4835, 529, 2545, 6028, 19, 204, 18, 334, 542, 630, 275, 5533, 17, 887, 17, 353, 3250, 275, 930, 18435, 18501, 1547, 14589, 451, 1662, 1910, 3576, 275, 4835, 353, 6167, 1025, 19, 204, 204, 2551, 17, 275, 4628, 571, 20, 27, 618, 444, 1151, 448, 388, 13554, 685, 302, 6699, 7, 521, 388, 13554, 20098, 11090, 2948, 1058, 3210, 496, 2327, 3576, 685, 302, 273, 1113, 302, 6699, 3576, 529, 9492, 440, 2263, 19, 0, 647, 12852, 448, 3790, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 676, 5496, 31, 204, 264, 320, 204, 264, 332, 850, 496, 8808, 88, 440, 273, 11706, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 2442, 322, 325, 330, 334, 9571, 521, 3877, 1995, 302, 275, 1104, 1981, 19, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 268, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 268, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 732, 19, 204, 268, 1863, 322, 4655, 19, 5064, 330, 334, 1104, 1727, 726, 19, 204, 268, 3370, 322, 4655, 19, 13467, 330, 334, 1104, 3370, 726, 19, 204, 264, 320, 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, 204, 264, 436, 589, 924, 889, 327, 17, 2442, 31, 394, 17, 2143, 31, 394, 17, 1482, 31, 394, 17, 1104, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 305, 2442, 322, 325, 330, 334, 9571, 521, 3877, 1995, 302, 275, 1104, 1981, 19, 204, 305, 2143, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 305, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 305, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 732, 19, 204, 268, 320, 204, 268, 370, 19, 2463, 289, 2442, 204, 268, 370, 19, 2574, 289, 2143, 204, 268, 370, 19, 1989, 289, 1482, 204, 268, 370, 19, 2819, 289, 1104, 204, 268, 370, 19, 1479, 289, 3790, 19, 2933, 13, 204, 305, 2442, 34, 2463, 17, 204, 305, 575, 34, 2574, 17, 204, 305, 1482, 34, 1989, 17, 204, 305, 1104, 34, 2819, 17, 204, 305, 6545, 4827, 34, 1021, 17, 204, 305, 3370, 676, 34, 4655, 19, 32563, 19, 1665, 13467, 204, 268, 1179, 204, 268, 370, 19, 4322, 289, 370, 19, 1479, 19, 4322, 374, 204, 204, 264, 436, 838, 68, 1867, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 2630, 31, 783, 64, 2983, 64, 325, 17, 394, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 1435, 292, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 838, 19, 204, 305, 2630, 322, 1218, 64, 2983, 64, 325, 17, 394, 3795, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1837, 588, 329, 424, 1187, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1435, 1484, 204, 268, 1484, 289, 283, 7, 20830, 12409, 13111, 7845, 15731, 463, 1867, 68, 417, 98, 4401, 204, 268, 1837, 68, 17637, 289, 551, 75, 1954, 3071, 64, 21, 7916, 463, 3071, 64, 22, 25718, 348, 1837, 292, 2630, 66, 204, 268, 1484, 1412, 6277, 5161, 1541, 13, 3071, 68, 17637, 14, 465, 2810, 28557, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 14, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4141, 1435, 31, 463, 74, 743, 204, 204, 264, 436, 4482, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 17327, 424, 1025, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 4482, 424, 1025, 19, 204, 305, 424, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 424, 311, 4482, 19, 204, 268, 320, 204, 268, 314, 6461, 424, 1484, 204, 268, 1484, 289, 283, 7, 14483, 12377, 463, 1867, 68, 417, 98, 4401, 204, 268, 2630, 289, 6277, 5161, 1541, 13, 481, 19, 3261, 1447, 204, 268, 19325, 289, 6277, 5161, 1541, 9792, 10, 88, 1339, 540, 1245, 13, 481, 602, 204, 268, 1484, 1412, 283, 1954, 3786, 1937, 12804, 8267, 34488, 1937, 28557, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 13, 481, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 18740, 424, 31, 463, 74, 743, 204, 204, 264, 436, 1395, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 394, 648, 2407, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 424, 292, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 1395, 19, 204, 305, 424, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 424, 311, 1395, 19, 204, 305, 2407, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 4042, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 1716, 424, 1484, 204, 268, 1484, 289, 283, 7, 18344, 463, 1867, 68, 417, 98, 17899, 388, 204, 268, 7861, 289, 6277, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 424, 694, 204, 268, 4042, 289, 388, 9273, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 2407, 694, 204, 268, 1484, 1412, 283, 1954, 19735, 98, 8888, 463, 9821, 16258, 7, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 13, 481, 19, 1309, 1447, 465, 927, 13, 9078, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 9683, 424, 31, 463, 74, 743, 204, 204, 264, 436, 4032, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 2407, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 424, 497, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 4032, 424, 497, 19, 204, 305, 2407, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 4042, 311, 4032, 19, 204, 268, 320, 204, 268, 314, 6117, 424, 1484, 204, 268, 1484, 289, 283, 7, 16908, 7281, 463, 1867, 68, 417, 98, 8888, 388, 204, 268, 4042, 289, 388, 9273, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 2407, 694, 204, 268, 1484, 1412, 283, 1954, 9821, 16258, 7, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 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, 9078, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 12629, 424, 31, 463, 74, 743, 204, 204, 264, 436, 3671, 68, 2602, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20806, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 19, 3529, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1863, 289, 5496, 499, 7714, 528, 388, 2125, 528, 388, 1989, 528, 388, 2819, 431, 204, 264, 1863, 19, 1510, 68, 1867, 499, 33881, 528, 28175, 359, 528, 388, 7699, 3186, 4401, 417, 528, 388, 42508, 13, 4808, 12008, 694, 204, 264, 1863, 19, 5021, 68, 481, 499, 33881, 528, 2832, 359, 559, 388, 22, 528, 388, 417, 559, 388, 39030, 368, 12483, 204, 264, 1863, 19, 2045, 68, 481, 499, 33881, 528, 2832, 417, 559, 388, 39030, 435, 7832, 2832, 359, 559, 388, 22, 12483, 204, 264, 1863, 19, 2756, 68, 481, 499, 33881, 528, 2832, 359, 559, 388, 22, 12483, 204, 264, 1863, 19, 3529, 68, 2602, 374, 204, 0, 647, 2010, 448, 645, 204, 204, 461, 9569, 68, 285, 6292, 13, 204, 264, 3906, 68, 1663, 31, 645, 19, 766, 17, 716, 264, 5445, 68, 6073, 31, 645, 19, 766, 17, 716, 264, 3259, 555, 68, 1115, 31, 421, 289, 681, 17, 716, 264, 1419, 68, 6575, 31, 818, 289, 368, 19, 21, 17, 716, 264, 846, 68, 5749, 31, 421, 289, 931, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 9715, 9569, 15183, 348, 27187, 4227, 5194, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3906, 68, 1663, 322, 1123, 19, 766, 330, 18414, 1525, 204, 264, 338, 5445, 68, 6073, 322, 1123, 19, 766, 330, 9939, 3050, 3683, 204, 264, 338, 3259, 555, 68, 1115, 322, 339, 17, 1448, 330, 1301, 6200, 1552, 19, 1243, 311, 681, 19, 204, 264, 338, 1419, 68, 6575, 322, 996, 17, 1448, 330, 807, 3441, 19, 1243, 311, 368, 19, 21, 19, 204, 264, 338, 846, 68, 5749, 322, 339, 17, 1448, 330, 9814, 542, 302, 6195, 19, 1243, 311, 931, 19, 204, 204, 264, 475, 31, 204, 264, 338, 927, 31, 322, 75, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 14, 204, 264, 320, 204, 264, 314, 968, 3454, 204, 264, 5697, 43, 289, 368, 74, 1003, 204, 264, 5405, 289, 435, 204, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 3906, 1525, 204, 264, 771, 68, 3173, 17, 771, 68, 6103, 289, 3906, 68, 1663, 19, 1827, 204, 204, 264, 314, 977, 2558, 204, 264, 3259, 68, 1663, 289, 645, 19, 4324, 1802, 920, 68, 3173, 17, 771, 68, 6103, 659, 4798, 833, 14024, 534, 204, 264, 468, 68, 1663, 289, 645, 19, 11450, 19, 15756, 13, 4782, 68, 1663, 5604, 22, 66, 204, 264, 3259, 68, 1663, 289, 645, 19, 11450, 19, 15756, 13, 4782, 68, 1663, 5604, 21, 66, 204, 264, 469, 289, 645, 19, 3005, 13, 86, 68, 1663, 19, 495, 79, 1528, 57, 17, 5445, 68, 6073, 14, 204, 264, 906, 94, 289, 469, 19, 3462, 374, 204, 264, 303, 289, 1419, 68, 6575, 930, 435, 204, 204, 264, 314, 977, 13754, 329, 2311, 1759, 204, 264, 283, 38923, 68, 765, 289, 500, 204, 264, 1006, 68, 3174, 289, 5697, 43, 204, 264, 15255, 68, 2160, 289, 500, 204, 204, 264, 348, 906, 292, 933, 13, 1129, 68, 5749, 330, 204, 268, 314, 977, 2558, 348, 848, 6491, 204, 268, 724, 289, 771, 68, 6103, 338, 368, 204, 268, 906, 94, 289, 469, 19, 3462, 374, 204, 268, 303, 68, 80, 289, 645, 19, 2514, 13, 73, 14, 204, 268, 758, 68, 539, 289, 368, 204, 268, 297, 289, 645, 19, 4324, 1802, 920, 68, 6103, 17, 368, 602, 204, 204, 268, 1335, 959, 31, 204, 305, 314, 7415, 283, 38923, 1040, 204, 305, 283, 38923, 68, 765, 1412, 368, 204, 204, 305, 314, 888, 3482, 2722, 204, 305, 397, 758, 68, 539, 564, 368, 31, 204, 485, 314, 4347, 275, 3482, 2722, 1609, 523, 275, 790, 700, 302, 469, 329, 412, 204, 485, 397, 322, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 66, 1323, 3457, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 744, 204, 895, 27461, 68, 80, 289, 645, 19, 11062, 1802, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 204, 895, 297, 68, 80, 289, 645, 19, 16304, 19728, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 338, 368, 204, 485, 902, 31, 204, 895, 27461, 68, 80, 289, 645, 19, 11062, 19728, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 204, 895, 297, 68, 80, 289, 645, 19, 16304, 1802, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 338, 368, 204, 204, 485, 314, 1716, 297, 68, 80, 204, 485, 488, 289, 297, 68, 80, 465, 368, 204, 485, 348, 781, 292, 933, 13, 86, 555, 68, 1115, 338, 368, 17, 338, 86, 555, 68, 1115, 17, 338, 23, 330, 204, 895, 397, 488, 1323, 781, 31, 204, 2058, 2280, 204, 895, 297, 68, 80, 289, 781, 338, 435, 204, 204, 305, 314, 1716, 297, 68, 80, 204, 305, 297, 68, 80, 1412, 435, 204, 204, 305, 314, 8715, 758, 68, 539, 5168, 204, 305, 758, 68, 539, 289, 500, 204, 204, 305, 314, 778, 397, 297, 68, 80, 353, 2614, 275, 3482, 2722, 329, 1301, 6200, 1552, 204, 305, 397, 297, 68, 80, 2186, 27461, 68, 80, 329, 297, 68, 80, 962, 3259, 555, 68, 1115, 31, 204, 485, 314, 828, 724, 353, 500, 17, 949, 275, 1759, 329, 1395, 275, 2311, 1759, 204, 485, 397, 724, 564, 500, 31, 204, 895, 15255, 68, 2160, 1412, 368, 204, 895, 1759, 289, 645, 19, 11450, 19, 5915, 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, 1123, 19, 3005, 13, 4782, 68, 1663, 17, 297, 19, 12114, 1447, 338, 5445, 68, 6073, 14, 204, 895, 397, 1006, 68, 3174, 1323, 1759, 31, 204, 2058, 1006, 68, 3174, 289, 1759, 204, 485, 902, 31, 204, 895, 314, 1716, 724, 329, 949, 275, 717, 700, 302, 469, 204, 895, 724, 4922, 368, 204, 895, 906, 94, 64, 80, 66, 289, 469, 64, 80, 66, 204, 895, 348, 296, 292, 933, 13, 80, 465, 368, 17, 771, 68, 6103, 330, 204, 2058, 906, 94, 64, 80, 66, 4922, 468, 68, 1663, 64, 80, 17, 296, 66, 540, 297, 64, 78, 66, 204, 895, 303, 68, 80, 289, 645, 19, 2514, 13, 73, 68, 80, 930, 435, 338, 46134, 94, 64, 80, 465, 368, 66, 338, 468, 68, 1663, 64, 80, 465, 368, 17, 724, 465, 368, 66, 540, 297, 64, 80, 465, 368, 694, 930, 435, 14, 204, 895, 758, 68, 539, 289, 368, 204, 485, 3524, 204, 305, 902, 31, 204, 485, 314, 828, 297, 68, 80, 353, 508, 2614, 275, 3482, 2722, 17, 6342, 724, 329, 2280, 275, 3546, 204, 485, 724, 1412, 368, 204, 485, 397, 724, 564, 771, 68, 6103, 31, 204, 895, 2280, 204, 204, 268, 314, 1716, 275, 3441, 329, 2311, 1759, 204, 268, 397, 1006, 68, 3174, 564, 5697, 43, 31, 204, 305, 397, 906, 1323, 368, 31, 204, 485, 303, 10744, 5405, 204, 305, 902, 31, 204, 485, 303, 289, 1419, 68, 6575, 930, 435, 204, 268, 902, 31, 204, 305, 2280, 204, 204, 264, 314, 888, 275, 1113, 283, 38923, 1040, 204, 264, 283, 38923, 68, 765, 10744, 2905, 204, 204, 264, 407, 283, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 273, 1400, 3906, 1525, 329, 5445, 3683, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 3906, 68, 1663, 289, 645, 19, 2017, 19, 2329, 13, 25, 17, 681, 14, 465, 368, 79, 540, 645, 19, 2017, 19, 2329, 13, 25, 17, 681, 14, 204, 264, 5445, 68, 6073, 289, 645, 19, 2017, 19, 2329, 13, 25, 14, 465, 368, 79, 540, 645, 19, 2017, 19, 2329, 13, 25, 14, 204, 204, 264, 314, 3055, 9569, 15183, 204, 264, 283, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 289, 9569, 68, 285, 6292, 13, 4782, 68, 1663, 17, 5445, 68, 6073, 14, 204, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 13, 75, 7, 43, 38923, 1040, 31, 463, 75, 38923, 68, 765, 743, 204, 264, 456, 13, 75, 7, 14543, 1759, 31, 463, 885, 68, 3174, 743, 204, 264, 456, 13, 75, 7, 49, 40383, 1728, 31, 463, 23999, 68, 2160, 743, 204, 0, 3637, 52, 677, 4263, 292, 2263, 204, 18444, 8425, 562, 6587, 3700, 11658, 1283, 3303, 329, 38555, 311, 10579, 437, 8421, 3390, 302, 14372, 11002, 19, 5028, 36643, 17, 5862, 17, 353, 496, 1182, 2263, 1120, 444, 4331, 311, 6626, 275, 8421, 3382, 10, 302, 4372, 3117, 4331, 19, 18624, 52, 884, 88, 1225, 292, 2263, 19236, 523, 273, 1182, 6184, 17, 899, 18521, 329, 37452, 20972, 732, 302, 2263, 292, 16700, 19, 204, 27532, 680, 3332, 2263, 496, 1519, 311, 444, 22062, 2255, 31, 204, 18, 15247, 1182, 3117, 1335, 974, 2202, 2263, 204, 18, 5343, 35379, 302, 21156, 9644, 311, 29653, 440, 36324, 329, 20335, 88, 204, 18, 8910, 3106, 2263, 13199, 496, 6156, 275, 1964, 204, 33121, 6708, 756, 16700, 13909, 273, 896, 4263, 292, 3117, 5627, 19, 1785, 1225, 440, 16972, 17, 2263, 21051, 17, 20983, 329, 14724, 311, 7504, 504, 1017, 25760, 5194, 754, 496, 1250, 529, 1182, 26001, 329, 2202, 31343, 348, 275, 1964, 19, 1765, 1910, 15722, 1880, 17, 2263, 353, 3667, 275, 4408, 5627, 2479, 496, 5252, 311, 444, 33470, 19, 18624, 52, 30445, 8235, 28708, 15747, 2263, 6294, 5169, 496, 2931, 15722, 7582, 329, 3117, 7355, 19, 204, 57, 16713, 409, 1399, 5634, 292, 3117, 5627, 292, 5411, 2181, 869, 2927, 490, 2237, 311, 1308, 4037, 5926, 3117, 311, 1182, 1880, 1194, 7921, 2518, 19, 204, 30005, 3667, 17, 5862, 17, 808, 353, 12156, 630, 275, 15667, 302, 2263, 4764, 329, 302, 275, 2667, 302, 275, 24686, 1250, 9708, 19, 204, 1449, 1995, 808, 9056, 17, 18624, 52, 353, 17313, 39233, 2151, 1094, 496, 529, 3106, 329, 3966, 18, 15000, 17, 17863, 275, 21811, 302, 2263, 5229, 275, 15198, 17, 13091, 329, 15747, 5018, 19, 204, 3637, 52, 13157, 8052, 496, 6024, 275, 34036, 302, 2263, 348, 1182, 6184, 17, 25414, 329, 899, 18521, 732, 302, 2263, 348, 16700, 19, 3837, 8426, 13727, 348, 2263, 1283, 23750, 1924, 275, 2263, 18, 9323, 18, 2507, 507, 93, 354, 3979, 17, 5343, 6982, 8534, 18, 25539, 281, 4643, 22437, 329, 9422, 8352, 1225, 19, 204, 3070, 1763, 17, 2077, 2548, 523, 31184, 34036, 19236, 523, 36782, 4643, 329, 31558, 17259, 7784, 630, 3221, 17, 6838, 329, 1102, 14055, 4683, 19, 1785, 15209, 311, 14561, 2765, 11845, 292, 31184, 34036, 448, 273, 2501, 311, 7940, 15836, 6294, 302, 31184, 4764, 19, 204, 45188, 2652, 329, 23616, 204, 45188, 2652, 1120, 3014, 311, 1182, 11899, 329, 22249, 5583, 8282, 3780, 2090, 20335, 88, 329, 36324, 17, 440, 33178, 15888, 523, 3117, 5627, 5194, 19, 23196, 2263, 6294, 353, 6456, 348, 5343, 42113, 35379, 4238, 1702, 6863, 14007, 19, 204, 3637, 52, 884, 88, 1225, 19236, 523, 31, 204, 18, 23512, 302, 426, 18, 4187, 20335, 329, 13196, 4190, 6294, 12058, 204, 18, 5960, 5343, 523, 4744, 10473, 329, 4217, 1483, 523, 22804, 204, 18, 2886, 311, 6863, 2263, 5688, 311, 5668, 7515, 23616, 329, 2652, 204, 673, 14916, 302, 275, 14971, 1283, 3117, 17, 2796, 17, 15254, 17, 1964, 329, 7515, 2652, 353, 5992, 17, 448, 2590, 448, 275, 12083, 496, 2263, 13909, 273, 6837, 4263, 292, 830, 1605, 6705, 19, 18624, 52, 29233, 329, 30155, 332, 4961, 38, 9593, 17, 275, 1901, 15964, 329, 25932, 2139, 523, 4610, 2263, 4685, 19, 204, 18, 332, 4961, 38, 9593, 338, 18624, 52, 677, 4610, 2263, 1483, 1561, 204, 18, 334, 5140, 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, 5179, 884, 88, 15044, 329, 10748, 17638, 348, 11554, 329, 23931, 0, 461, 5327, 68, 19301, 68, 9660, 68, 16037, 68, 4603, 374, 393, 927, 31, 204, 264, 320, 204, 264, 16927, 275, 10390, 7852, 18029, 3494, 311, 12117, 275, 379, 61, 18, 3070, 29685, 18, 32786, 12, 3494, 204, 264, 2312, 560, 275, 7852, 1981, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 3426, 3494, 329, 1163, 1812, 700, 19, 204, 264, 320, 204, 264, 314, 968, 275, 3426, 3494, 329, 1163, 1812, 700, 204, 264, 4778, 68, 4603, 289, 379, 6654, 68, 61, 68, 8197, 39960, 21449, 68, 33668, 12, 204, 264, 1812, 68, 876, 289, 379, 3189, 12, 204, 204, 264, 314, 6153, 275, 10390, 7852, 18029, 3494, 204, 264, 314, 1058, 353, 3600, 1330, 4436, 8944, 273, 4036, 7852, 496, 9713, 18029, 30238, 204, 264, 10390, 68, 9660, 68, 16037, 68, 4603, 289, 322, 1942, 68, 4603, 17, 1812, 68, 876, 14, 204, 204, 264, 407, 10390, 68, 9660, 68, 16037, 68, 4603, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 6153, 275, 10390, 7852, 18029, 3494, 204, 264, 10390, 68, 9660, 68, 16037, 68, 4603, 289, 5327, 68, 19301, 68, 9660, 68, 16037, 68, 4603, 374, 204, 264, 456, 499, 32731, 562, 26301, 18029, 25889, 2180, 10390, 68, 9660, 68, 16037, 68, 4603, 14, 204, 0, 8, 4390, 3600, 12947, 204, 647, 3805, 448, 1246, 204, 531, 25876, 532, 6704, 17, 1781, 204, 531, 1498, 532, 1535, 204, 204, 37, 2607, 204, 461, 838, 68, 2393, 68, 481, 374, 393, 1535, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 2605, 273, 1672, 3135, 440, 1987, 329, 38900, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 440, 1672, 424, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 458, 302, 5760, 1174, 1987, 329, 38900, 424, 204, 268, 424, 289, 458, 13, 5714, 9792, 22243, 528, 388, 47, 1055, 8495, 528, 388, 6192, 528, 388, 40769, 1930, 2869, 551, 5007, 29, 17, 31595, 17, 2031, 17, 1607, 4513, 204, 822, 268, 314, 666, 273, 3135, 497, 275, 424, 204, 268, 2349, 289, 1246, 19, 1362, 13, 481, 17, 2630, 8090, 2687, 528, 388, 35847, 88, 3808, 204, 822, 268, 314, 455, 275, 3135, 204, 268, 407, 2349, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 424, 4644, 521, 5539, 2744, 204, 268, 456, 13, 75, 7, 596, 4141, 1672, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 37, 2607, 204, 461, 1352, 68, 481, 13, 1695, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 9506, 275, 1672, 3135, 560, 8397, 275, 2480, 38900, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 537, 3135, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 4050, 3135, 440, 275, 2480, 38900, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 888, 275, 2480, 38900, 204, 268, 2480, 68, 8521, 88, 289, 2349, 1166, 35847, 88, 6925, 3037, 374, 204, 822, 268, 314, 666, 273, 717, 3135, 440, 275, 2480, 38900, 204, 268, 722, 68, 1695, 289, 1246, 19, 1362, 7075, 11769, 24884, 88, 559, 551, 5670, 68, 8521, 88, 23647, 204, 822, 268, 314, 455, 275, 722, 3135, 204, 268, 407, 722, 68, 1695, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 424, 5539, 2744, 204, 268, 456, 13, 75, 7, 596, 5539, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 37, 9405, 204, 461, 1672, 68, 481, 68, 9405, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 332, 6704, 496, 6609, 273, 1672, 3135, 17, 6332, 490, 17, 329, 2584, 275, 722, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 4050, 3135, 440, 275, 2480, 38900, 19, 204, 264, 320, 204, 264, 314, 666, 275, 1672, 424, 204, 264, 1672, 68, 481, 289, 838, 68, 2393, 68, 481, 374, 204, 615, 264, 314, 778, 397, 275, 1672, 424, 353, 508, 443, 204, 264, 397, 1672, 68, 481, 353, 508, 443, 31, 204, 268, 314, 3325, 275, 1672, 424, 204, 268, 722, 289, 1352, 68, 481, 13, 2393, 68, 481, 14, 204, 822, 268, 314, 455, 275, 722, 204, 268, 407, 722, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 3135, 397, 275, 1672, 424, 353, 443, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 722, 289, 1672, 68, 481, 68, 9405, 19, 2607, 374, 204, 264, 456, 13, 1300, 19, 1300, 14, 204, 0, 647, 690, 204, 531, 1498, 532, 1884, 204, 204, 8, 4861, 204, 45948, 68, 42145, 289, 2153, 226, 314, 3179, 204, 10830, 1889, 1334, 49, 68, 42145, 289, 931, 226, 314, 3179, 204, 45948, 68, 32063, 289, 2019, 465, 628, 15320, 18944, 68, 42145, 226, 314, 3179, 204, 10830, 1889, 1334, 49, 68, 6559, 289, 1199, 465, 33844, 1889, 1334, 49, 68, 42145, 226, 314, 3179, 204, 8004, 68, 17324, 289, 2153, 226, 314, 3179, 20, 88, 204, 204, 676, 9849, 299, 8177, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2284, 68, 7025, 17, 636, 68, 3174, 330, 204, 268, 320, 204, 268, 977, 275, 17926, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 2284, 68, 7025, 322, 1386, 330, 334, 2284, 3326, 726, 19, 204, 305, 636, 68, 3174, 322, 1386, 330, 334, 636, 1759, 726, 19, 204, 268, 320, 204, 268, 370, 19, 1766, 68, 7025, 289, 2284, 68, 7025, 204, 268, 370, 19, 505, 68, 3174, 289, 636, 68, 3174, 204, 204, 264, 436, 5345, 68, 31149, 68, 4038, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 977, 275, 17926, 1561, 560, 15628, 275, 790, 2945, 302, 275, 5654, 19, 204, 204, 268, 475, 31, 204, 305, 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, 334, 2945, 302, 275, 5654, 2448, 49, 12, 521, 379, 55, 534, 204, 268, 320, 204, 268, 314, 763, 275, 5324, 497, 275, 1824, 329, 1629, 45509, 15126, 204, 268, 1824, 68, 3174, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 23, 14, 204, 268, 1629, 68, 3174, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 24, 14, 204, 204, 268, 314, 4347, 275, 2945, 1609, 523, 275, 5324, 204, 268, 407, 379, 49, 12, 397, 1824, 68, 3174, 2186, 1629, 68, 3174, 902, 379, 55, 12, 204, 204, 264, 436, 3822, 68, 31149, 68, 932, 13, 327, 17, 2945, 31, 394, 14, 393, 1884, 64, 325, 17, 394, 17, 818, 17, 818, 17, 818, 744, 204, 268, 320, 204, 268, 4347, 275, 1187, 302, 17926, 2817, 1609, 523, 275, 2945, 302, 275, 5654, 19, 204, 204, 268, 457, 31, 204, 305, 2945, 322, 325, 330, 334, 2945, 302, 275, 5654, 2448, 49, 12, 521, 379, 55, 534, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 325, 17, 394, 17, 818, 17, 818, 17, 818, 744, 332, 927, 1174, 275, 2945, 17, 17926, 1187, 17, 1277, 17, 2480, 1759, 17, 329, 908, 204, 268, 320, 204, 268, 314, 968, 273, 955, 311, 2304, 2945, 311, 45509, 5722, 542, 204, 268, 2945, 68, 633, 68, 9123, 289, 2552, 49, 597, 435, 17, 379, 55, 597, 571, 98, 204, 204, 268, 314, 5360, 275, 5654, 4533, 630, 273, 683, 2969, 204, 268, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 22, 17, 15521, 68, 17324, 14, 204, 204, 268, 314, 977, 2558, 204, 268, 5168, 289, 500, 226, 314, 500, 348, 6329, 17926, 17, 368, 348, 5966, 17926, 204, 268, 17926, 68, 932, 289, 463, 21, 31, 379, 59, 491, 368, 31, 379, 53, 6241, 204, 268, 3001, 68, 765, 289, 500, 204, 268, 3001, 68, 5670, 289, 500, 204, 204, 268, 314, 11631, 275, 1759, 311, 275, 17926, 2817, 204, 268, 1759, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 5863, 68, 633, 68, 9123, 64, 5863, 694, 204, 268, 397, 1759, 3721, 33844, 1889, 1334, 49, 68, 6559, 31, 204, 305, 314, 828, 275, 1759, 353, 3114, 1194, 275, 5966, 2198, 17, 1012, 13978, 204, 305, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 305, 1335, 1759, 3721, 33844, 1889, 1334, 49, 68, 6559, 31, 204, 485, 314, 39139, 3432, 7654, 424, 204, 485, 3001, 68, 5670, 1412, 1759, 204, 485, 3001, 68, 765, 1412, 368, 204, 204, 485, 314, 778, 397, 275, 1759, 353, 2202, 1194, 275, 6329, 4450, 204, 485, 397, 1759, 962, 628, 15320, 18944, 68, 32063, 31, 204, 895, 5168, 289, 368, 204, 204, 485, 314, 888, 275, 790, 1277, 204, 485, 790, 68, 834, 289, 690, 19, 834, 374, 204, 485, 1277, 68, 1520, 289, 322, 1976, 68, 834, 338, 1012, 68, 834, 14, 540, 15521, 68, 17324, 204, 204, 485, 314, 778, 397, 275, 1277, 353, 9133, 348, 17926, 204, 485, 397, 322, 8530, 564, 500, 329, 1277, 68, 1520, 3721, 33844, 1889, 1334, 49, 68, 6559, 14, 521, 322, 8530, 564, 368, 329, 1277, 68, 1520, 3721, 628, 15320, 18944, 68, 32063, 330, 204, 895, 314, 9829, 275, 5654, 329, 407, 275, 17926, 1187, 204, 895, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 21, 14, 204, 895, 3001, 68, 5670, 16695, 3001, 68, 765, 204, 895, 407, 2945, 17, 17926, 68, 932, 64, 8530, 648, 1277, 68, 1520, 17, 3001, 68, 5670, 17, 500, 204, 204, 485, 314, 1716, 275, 1759, 7654, 204, 485, 1759, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 5863, 68, 633, 68, 9123, 64, 5863, 694, 204, 204, 268, 314, 828, 275, 1759, 7654, 3731, 24479, 17, 3506, 275, 5654, 329, 949, 275, 908, 204, 268, 3506, 68, 834, 289, 690, 19, 834, 374, 204, 268, 1277, 68, 1520, 289, 322, 5029, 68, 834, 338, 1012, 68, 834, 14, 540, 15521, 68, 17324, 204, 268, 3001, 68, 5670, 16695, 3001, 68, 765, 204, 268, 908, 289, 1759, 338, 3001, 68, 5670, 204, 204, 268, 314, 455, 275, 17926, 1187, 329, 908, 204, 268, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 21, 14, 204, 268, 407, 2945, 17, 17926, 68, 932, 64, 8530, 648, 1277, 68, 1520, 17, 3001, 68, 5670, 17, 908, 204, 204, 204, 676, 5360, 13773, 31, 204, 264, 1642, 4460, 204, 264, 436, 1307, 68, 36915, 13, 5195, 31, 421, 17, 3581, 31, 421, 330, 204, 268, 320, 204, 268, 5360, 275, 5654, 7400, 19, 204, 204, 268, 457, 31, 204, 305, 2969, 322, 339, 330, 334, 2969, 302, 275, 5654, 19, 204, 305, 3581, 322, 339, 330, 334, 3581, 302, 275, 5654, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2284, 275, 5654, 7400, 204, 268, 1879, 204, 204, 204, 676, 763, 14853, 31, 204, 264, 1642, 4460, 204, 264, 436, 636, 68, 389, 68, 3174, 13, 9123, 68, 1190, 31, 421, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 1759, 497, 273, 2875, 45509, 5722, 19, 204, 204, 268, 457, 31, 204, 305, 5722, 68, 1190, 322, 339, 330, 334, 542, 302, 275, 45509, 5722, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1759, 497, 275, 45509, 5722, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1759, 497, 275, 45509, 5722, 204, 268, 1879, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2284, 68, 7025, 289, 5360, 13773, 374, 204, 264, 636, 68, 3174, 289, 763, 14853, 374, 204, 264, 17926, 68, 4038, 289, 9849, 299, 8177, 13, 1766, 68, 7025, 17, 636, 68, 3174, 14, 204, 204, 264, 2945, 289, 17926, 68, 4038, 19, 9462, 68, 31149, 68, 4038, 374, 204, 264, 456, 13, 75, 7, 18839, 31, 463, 5863, 743, 204, 204, 264, 17926, 68, 932, 17, 1277, 17, 2480, 68, 3174, 17, 908, 289, 17926, 68, 4038, 19, 26154, 68, 31149, 68, 932, 13, 5863, 5604, 22, 5853, 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, 456, 13, 75, 7, 37687, 299, 2838, 31, 463, 31149, 68, 932, 743, 204, 264, 456, 13, 75, 7, 10746, 31, 463, 1205, 98, 3179, 431, 204, 264, 456, 13, 75, 7, 11769, 11833, 31, 463, 5670, 68, 3174, 98, 3179, 431, 204, 264, 456, 13, 75, 7, 596, 31, 463, 718, 98, 3179, 431, 204, 0, 647, 19009, 204, 647, 1875, 204, 531, 31884, 532, 14292, 25953, 204, 531, 7124, 24, 19, 5678, 532, 21490, 596, 204, 647, 1361, 204, 531, 1498, 532, 783, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 676, 25509, 27017, 31, 204, 264, 320, 204, 264, 29433, 9318, 560, 13931, 4338, 2724, 329, 14491, 685, 5448, 19, 204, 204, 264, 1532, 31, 204, 268, 28417, 322, 873, 330, 16195, 302, 4338, 2724, 311, 1017, 28417, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 40551, 289, 463, 204, 305, 379, 14700, 597, 379, 72, 491, 379, 133, 235, 597, 379, 40, 491, 379, 8433, 597, 379, 70, 491, 379, 133, 228, 597, 379, 38, 491, 379, 30837, 597, 379, 70, 491, 379, 133, 228, 597, 379, 38, 491, 204, 305, 379, 13524, 597, 379, 70, 491, 379, 43474, 597, 379, 38, 491, 379, 16990, 597, 379, 70, 491, 379, 41725, 597, 379, 38, 491, 379, 21697, 597, 379, 74, 491, 379, 133, 236, 597, 379, 42, 491, 204, 305, 379, 5733, 597, 379, 74, 491, 379, 133, 237, 597, 379, 42, 491, 379, 28544, 127, 597, 379, 74, 491, 379, 28544, 126, 597, 379, 42, 491, 379, 22213, 597, 379, 74, 491, 379, 133, 238, 597, 379, 42, 491, 204, 305, 379, 133, 111, 597, 379, 78, 491, 379, 133, 240, 597, 379, 46, 491, 379, 11863, 597, 379, 78, 491, 379, 133, 241, 597, 379, 46, 491, 379, 134, 108, 597, 379, 78, 491, 379, 134, 107, 597, 379, 46, 491, 204, 305, 379, 133, 112, 597, 379, 78, 491, 379, 133, 242, 597, 379, 46, 491, 379, 133, 116, 597, 379, 84, 491, 379, 133, 246, 597, 379, 52, 491, 379, 11175, 597, 379, 84, 491, 379, 133, 247, 597, 379, 52, 491, 204, 305, 379, 48113, 597, 379, 84, 491, 379, 133, 249, 597, 379, 52, 491, 379, 31585, 597, 379, 84, 491, 379, 133, 248, 597, 379, 52, 491, 379, 133, 123, 597, 379, 90, 491, 379, 133, 253, 597, 379, 58, 491, 204, 305, 379, 11614, 597, 379, 90, 491, 379, 133, 254, 597, 379, 58, 491, 379, 135, 108, 597, 379, 90, 491, 379, 135, 107, 597, 379, 58, 491, 379, 133, 125, 597, 379, 90, 491, 379, 133, 255, 597, 379, 58, 12, 204, 268, 1211, 204, 204, 264, 436, 5221, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 29433, 273, 7069, 560, 13931, 4338, 2724, 329, 14491, 685, 5448, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 5221, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 8049, 7069, 19, 204, 268, 320, 204, 268, 314, 3182, 4338, 2724, 329, 5448, 497, 275, 7069, 204, 268, 7069, 289, 370, 806, 3956, 68, 13130, 68, 8686, 13, 10563, 14, 204, 268, 7069, 289, 370, 806, 2741, 68, 607, 68, 3968, 13, 10563, 14, 204, 268, 407, 7069, 204, 204, 264, 436, 906, 3956, 68, 13130, 68, 8686, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 8847, 4338, 2724, 497, 273, 7069, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 3142, 4338, 2724, 497, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 7069, 440, 4338, 2724, 5748, 19, 204, 268, 320, 204, 268, 314, 4546, 4338, 2724, 440, 1017, 28417, 204, 268, 348, 1125, 17, 10262, 292, 370, 19, 40551, 19, 1996, 1293, 204, 305, 7069, 289, 7069, 19, 3834, 13, 2441, 17, 10262, 14, 204, 268, 314, 3182, 4017, 4338, 2724, 204, 268, 7069, 289, 7069, 19, 3834, 611, 2152, 491, 18242, 3834, 611, 5013, 491, 18242, 3834, 28408, 18242, 3834, 611, 22919, 18242, 3834, 611, 25364, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 611, 55, 21842, 379, 5061, 360, 3930, 3834, 18695, 491, 18242, 3834, 611, 7798, 18242, 3834, 11493, 491, 18242, 3834, 611, 27602, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 611, 9086, 18242, 3834, 41115, 491, 18242, 3834, 611, 17152, 18242, 3834, 42542, 18242, 3834, 611, 13404, 18242, 3834, 22403, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 21754, 491, 18242, 3834, 7708, 83, 491, 379, 25047, 3834, 611, 24891, 8930, 204, 268, 407, 7069, 204, 204, 264, 436, 906, 2741, 68, 607, 68, 3968, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 18403, 685, 5448, 497, 273, 7069, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 2081, 685, 5448, 497, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 7069, 440, 5448, 4932, 685, 19, 204, 268, 320, 204, 268, 314, 3736, 275, 7069, 1025, 2159, 204, 268, 2159, 289, 7069, 19, 1590, 611, 6947, 204, 268, 314, 4863, 685, 5448, 329, 275, 379, 13992, 12, 4541, 204, 268, 4932, 68, 2489, 289, 551, 750, 348, 1142, 292, 2159, 397, 1142, 2167, 379, 13992, 12, 329, 379, 1942, 12, 508, 292, 1142, 66, 204, 268, 407, 379, 3759, 1541, 13, 10975, 68, 2489, 14, 204, 204, 204, 676, 14292, 25953, 13308, 31, 204, 264, 320, 204, 264, 595, 321, 2554, 273, 14292, 15592, 311, 2566, 424, 311, 273, 4711, 19, 204, 204, 264, 1532, 31, 204, 268, 15592, 322, 48, 10186, 25953, 330, 334, 14292, 15592, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 20713, 68, 14643, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 1865, 275, 14292, 15592, 9073, 19, 204, 204, 268, 457, 31, 204, 305, 20713, 68, 14643, 322, 1218, 64, 325, 1037, 334, 458, 302, 14292, 20713, 16086, 19, 204, 268, 320, 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, 268, 370, 19, 24538, 289, 14292, 25953, 13, 20647, 68, 14643, 34, 20647, 68, 14643, 17, 700, 68, 9692, 34, 3605, 610, 31, 1875, 19, 7362, 13, 93, 789, 4170, 611, 20231, 18, 29, 3063, 204, 204, 264, 436, 2566, 13, 327, 17, 4711, 31, 394, 17, 700, 31, 1135, 330, 204, 268, 320, 204, 268, 10863, 424, 311, 273, 14292, 4711, 19, 204, 204, 268, 457, 31, 204, 305, 4711, 322, 325, 330, 334, 14292, 4711, 311, 2566, 424, 311, 19, 204, 305, 700, 322, 873, 330, 334, 424, 311, 2566, 19, 204, 268, 320, 204, 268, 370, 19, 24538, 19, 3345, 13, 7765, 17, 700, 34, 876, 14, 204, 204, 204, 676, 8471, 10062, 25164, 13, 39045, 19, 10062, 25164, 330, 204, 264, 320, 204, 264, 783, 624, 311, 8471, 16679, 329, 15125, 8049, 9318, 311, 273, 14292, 4711, 19, 204, 204, 264, 1532, 31, 204, 268, 23302, 322, 33200, 27017, 330, 334, 7069, 23302, 19, 204, 268, 31884, 68, 24538, 322, 48, 10186, 25953, 13308, 330, 334, 14292, 15592, 9073, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 23302, 31, 25509, 27017, 17, 31884, 68, 24538, 31, 14292, 25953, 13308, 330, 204, 268, 320, 204, 268, 1865, 275, 8471, 4457, 14750, 19, 204, 204, 268, 457, 31, 204, 305, 23302, 322, 33200, 27017, 330, 334, 7069, 23302, 19, 204, 305, 31884, 68, 24538, 322, 48, 10186, 25953, 13308, 330, 334, 14292, 15592, 9073, 19, 204, 268, 320, 204, 268, 370, 19, 29079, 289, 23302, 204, 268, 370, 19, 23984, 68, 24538, 289, 31884, 68, 24538, 204, 204, 264, 436, 523, 68, 718, 13, 327, 17, 1714, 68, 1181, 31, 421, 330, 204, 268, 320, 204, 268, 5133, 8471, 1893, 2744, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 68, 1181, 322, 339, 330, 334, 8471, 1893, 908, 1714, 1576, 19, 204, 268, 320, 204, 268, 397, 1714, 68, 1181, 564, 29821, 31, 204, 305, 407, 1078, 204, 204, 264, 436, 523, 68, 1835, 13, 327, 17, 1714, 31, 19009, 19, 5330, 330, 204, 268, 320, 204, 268, 5133, 7348, 9318, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 322, 39045, 19, 5330, 330, 334, 7348, 7069, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 8192, 275, 7069, 204, 305, 8049, 68, 10563, 289, 370, 19, 29079, 19, 7701, 13, 1835, 19, 492, 14, 204, 305, 1361, 19, 1270, 13, 22067, 68, 10563, 14, 204, 305, 314, 2878, 275, 8049, 7069, 311, 14292, 204, 305, 370, 19, 23984, 68, 24538, 19, 3345, 611, 14146, 9197, 491, 2552, 1190, 597, 8049, 68, 10563, 1937, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 1361, 19, 718, 13, 75, 12, 596, 5539, 7069, 31, 463, 74, 3501, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1359, 719, 8471, 1893, 4997, 204, 264, 8475, 68, 644, 289, 379, 13878, 68, 644, 12, 204, 264, 8475, 68, 4679, 289, 379, 13878, 68, 4679, 12, 204, 264, 3073, 68, 2119, 289, 379, 5281, 68, 2119, 12, 204, 264, 3073, 68, 2119, 68, 4679, 289, 379, 5281, 68, 2119, 68, 4679, 12, 204, 204, 264, 314, 1359, 719, 14292, 15592, 204, 264, 31884, 68, 20647, 68, 14643, 289, 2470, 7714, 31, 3276, 6913, 839, 204, 204, 264, 314, 1359, 719, 7069, 23302, 204, 264, 23302, 289, 25509, 27017, 374, 204, 204, 264, 314, 1359, 719, 14292, 15592, 9073, 204, 264, 31884, 68, 24538, 289, 14292, 25953, 13308, 13, 23984, 68, 20647, 68, 14643, 14, 204, 204, 264, 314, 1359, 719, 8471, 4457, 14750, 204, 264, 14750, 289, 8471, 10062, 25164, 13, 29079, 17, 31884, 68, 24538, 14, 204, 204, 264, 314, 1359, 719, 8471, 1893, 204, 264, 5121, 289, 19009, 19, 28931, 4441, 13, 13878, 68, 644, 17, 8475, 68, 4679, 14, 204, 264, 5121, 19, 574, 68, 5281, 68, 2119, 13, 5281, 68, 2119, 17, 3073, 68, 2119, 68, 4679, 14, 204, 264, 3923, 289, 19009, 19, 4093, 13, 3340, 14, 204, 204, 264, 314, 4055, 8471, 4457, 204, 264, 4457, 289, 19009, 19, 10062, 13, 3340, 34, 2005, 19, 3340, 17, 14750, 34, 19339, 14, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 4457, 19, 2741, 13, 5076, 4980, 37, 79, 4115, 35876, 1013, 32516, 491, 379, 47, 4115, 23756, 1013, 32516, 491, 379, 79, 4115, 31464, 1013, 32516, 491, 379, 37868, 9481, 565, 4755, 1850, 1801, 52, 2043, 9351, 4980, 278, 2043, 406, 668, 68, 21104, 34, 1021, 14, 204, 268, 827, 322, 19025, 596, 17, 13289, 330, 204, 305, 3524, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 949, 68, 2201, 68, 1309, 13, 920, 68, 11570, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 1019, 348, 848, 1870, 19, 204, 204, 264, 334, 1870, 1019, 529, 3392, 974, 275, 2089, 31, 1870, 68, 876, 289, 435, 540, 3090, 68, 2201, 68, 876, 465, 571, 19, 204, 264, 334, 1043, 1870, 700, 353, 368, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1870, 1019, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 302, 1870, 1019, 440, 275, 1043, 1870, 700, 204, 264, 1870, 68, 1309, 289, 551, 22, 66, 204, 615, 264, 314, 888, 275, 1870, 1019, 348, 275, 4017, 4683, 204, 264, 348, 906, 292, 933, 13, 920, 68, 11570, 338, 368, 330, 204, 268, 314, 888, 275, 1682, 1870, 700, 1609, 523, 275, 3090, 1870, 700, 204, 268, 1682, 68, 2201, 68, 876, 289, 1870, 68, 1309, 3327, 22, 66, 540, 435, 465, 571, 204, 268, 1870, 68, 1309, 19, 1223, 13, 2715, 68, 2201, 68, 876, 14, 204, 615, 264, 407, 1870, 68, 1309, 204, 204, 204, 461, 949, 68, 2201, 68, 2160, 13, 920, 68, 11570, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 1728, 348, 848, 1870, 19, 204, 204, 264, 334, 1870, 1728, 529, 3392, 974, 275, 2089, 31, 1870, 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, 1096, 289, 435, 540, 3090, 68, 2201, 68, 1096, 465, 368, 19, 204, 264, 334, 1043, 1870, 917, 353, 368, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1870, 1728, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 302, 1870, 1728, 440, 275, 1043, 1870, 917, 204, 264, 1870, 68, 2160, 289, 551, 22, 66, 204, 615, 264, 314, 888, 275, 1870, 1728, 348, 275, 4017, 4683, 204, 264, 348, 906, 292, 933, 13, 920, 68, 11570, 338, 368, 330, 204, 268, 314, 888, 275, 1682, 1870, 917, 1609, 523, 275, 3090, 1870, 917, 204, 268, 1682, 68, 2201, 68, 1096, 289, 1870, 68, 2160, 3327, 22, 66, 540, 435, 465, 368, 204, 268, 1870, 68, 2160, 19, 1223, 13, 2715, 68, 2201, 68, 1096, 14, 204, 615, 264, 407, 1870, 68, 2160, 204, 204, 204, 461, 949, 68, 1300, 13, 920, 68, 11570, 31, 421, 17, 1029, 68, 876, 31, 421, 17, 1870, 68, 1309, 31, 458, 64, 339, 648, 1870, 68, 2160, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 722, 348, 275, 800, 1029, 700, 19, 204, 204, 264, 334, 722, 353, 3392, 14395, 1609, 523, 275, 1029, 700, 329, 275, 1870, 1019, 329, 1728, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 268, 1029, 68, 876, 322, 339, 330, 334, 1029, 700, 19, 204, 268, 1870, 68, 1309, 322, 655, 64, 339, 1037, 332, 458, 302, 1870, 1019, 19, 204, 268, 1870, 68, 2160, 322, 655, 64, 339, 1037, 332, 458, 302, 1870, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 3392, 722, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 397, 1422, 529, 1236, 4683, 17, 407, 368, 397, 275, 1029, 700, 353, 3114, 1194, 521, 1936, 311, 368, 17, 2130, 407, 500, 204, 264, 397, 771, 68, 11570, 564, 500, 31, 204, 268, 407, 368, 397, 1029, 68, 876, 3721, 368, 902, 500, 204, 615, 264, 314, 828, 275, 1029, 700, 353, 2202, 1194, 521, 1936, 311, 368, 17, 407, 500, 204, 264, 397, 1029, 68, 876, 2186, 368, 31, 204, 268, 407, 500, 204, 615, 264, 314, 828, 275, 1029, 700, 353, 2202, 1194, 521, 1936, 311, 275, 1673, 1870, 700, 9729, 368, 17, 716, 264, 314, 949, 275, 722, 348, 275, 4017, 4683, 329, 275, 1029, 700, 13576, 368, 204, 264, 397, 1029, 68, 876, 2186, 1870, 68, 1309, 3327, 22, 66, 465, 368, 31, 204, 268, 407, 949, 68, 1300, 13, 920, 68, 11570, 338, 368, 17, 1029, 68, 876, 338, 368, 17, 1870, 68, 1309, 9128, 22, 648, 1870, 68, 2160, 9128, 22, 694, 204, 615, 264, 314, 9444, 17, 949, 275, 722, 348, 275, 4017, 4683, 329, 275, 1029, 700, 13576, 275, 1673, 1870, 700, 13576, 435, 17, 716, 264, 314, 329, 881, 275, 1673, 1870, 917, 9729, 368, 204, 264, 902, 31, 204, 268, 407, 1870, 68, 2160, 3327, 22, 66, 465, 368, 465, 949, 68, 1300, 13, 920, 68, 11570, 338, 368, 17, 1029, 68, 876, 338, 322, 2201, 68, 1309, 3327, 22, 66, 465, 435, 659, 1870, 68, 1309, 9128, 22, 648, 1870, 68, 2160, 9128, 22, 694, 204, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 4143, 275, 542, 302, 4683, 329, 275, 1029, 700, 497, 275, 537, 17, 9111, 275, 1870, 1019, 329, 1728, 17, 716, 264, 329, 5538, 275, 3392, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 542, 302, 4683, 329, 275, 1029, 700, 497, 275, 537, 204, 268, 771, 68, 11570, 17, 1029, 68, 876, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 822, 268, 314, 888, 275, 1870, 1019, 329, 1728, 204, 268, 1870, 68, 1309, 289, 949, 68, 2201, 68, 1309, 13, 920, 68, 11570, 14, 204, 268, 1870, 68, 2160, 289, 949, 68, 2201, 68, 2160, 13, 920, 68, 11570, 14, 204, 822, 268, 314, 888, 329, 456, 275, 722, 204, 268, 722, 289, 949, 68, 1300, 13, 920, 68, 11570, 17, 1029, 68, 876, 17, 1870, 68, 1309, 17, 1870, 68, 2160, 14, 204, 268, 456, 13, 1300, 14, 204, 615, 264, 827, 987, 31, 204, 268, 314, 1426, 2872, 537, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 24189, 6538, 36998, 2747, 10334, 14404, 472, 652, 226, 21252, 7452, 24189, 21396, 6713, 48072, 8777, 5890, 25883, 725, 16118, 5890, 7340, 10884, 6700, 36998, 16902, 408, 8185, 2336, 30068, 44539, 38608, 39622, 6152, 12054, 5784, 408, 2678, 6472, 1822, 16161, 725, 1822, 37854, 725, 22603, 4484, 3380, 725, 3788, 21161, 12169, 29022, 1955, 21577, 408, 6693, 23551, 24812, 725, 19989, 27654, 725, 17788, 11559, 1955, 21401, 34196, 3560, 568, 25019, 36998, 3865, 8410, 4906, 6713, 408, 4485, 33020, 2134, 15501, 1955, 11485, 3784, 408, 9027, 2967, 1773, 3976, 7897, 725, 9169, 1401, 15541, 725, 22917, 34409, 568, 24189, 6538, 7859, 3863, 36998, 20893, 1773, 37073, 9896, 36998, 460, 33243, 408, 9027, 7744, 5100, 1191, 408, 6693, 9896, 3359, 2815, 36998, 28870, 30324, 3560, 568, 24189, 6538, 36998, 7452, 3079, 15501, 12744, 19193, 19935, 6478, 3590, 17271, 3589, 13, 12693, 11485, 4485, 34393, 24309, 408, 3038, 35527, 39622, 2426, 3500, 8461, 24189, 6152, 18526, 3354, 4409, 29495, 854, 19120, 460, 23, 18, 24, 14557, 408, 4589, 15916, 17565, 1432, 3608, 5768, 408, 12054, 7452, 8802, 30760, 9438, 17408, 49083, 38608, 39622, 408, 16814, 1111, 36998, 460, 9438, 17408, 9438, 41912, 725, 9195, 5894, 9195, 13409, 6486, 568, 1254, 24189, 6538, 1189, 3354, 4409, 408, 1262, 921, 8167, 36998, 6564, 3560, 11862, 20230, 942, 31, 7859, 3863, 36998, 725, 24068, 13105, 725, 48593, 17209, 3304, 725, 32542, 18354, 725, 38232, 6700, 18354, 725, 6991, 10794, 13105, 725, 21259, 6700, 18354, 725, 17788, 36998, 568, 8846, 1262, 6700, 18354, 13, 2278, 6638, 2831, 6700, 18354, 725, 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, 12094, 30986, 6700, 18354, 27064, 15449, 1262, 6700, 18354, 13, 2278, 13522, 1773, 6700, 18354, 408, 36488, 27525, 6700, 18354, 27064, 3973, 1262, 6700, 18354, 13, 2278, 39128, 11247, 6700, 18354, 408, 6700, 18354, 11963, 1955, 27064, 15429, 13261, 6700, 18354, 13, 2278, 17788, 31523, 18354, 14, 17062, 568, 226, 3865, 7474, 13191, 568, 204, 24189, 6538, 36998, 3622, 4409, 460, 3354, 4409, 1189, 20281, 4250, 23078, 24189, 6713, 408, 4250, 23078, 24189, 21252, 5227, 14379, 41828, 16294, 5523, 9366, 17096, 24189, 8345, 9942, 1191, 408, 23078, 13397, 4144, 7191, 4384, 15113, 24189, 8345, 12562, 27303, 1524, 41828, 1191, 408, 2678, 2356, 10434, 11226, 40259, 24189, 6538, 21396, 408, 4250, 23078, 24189, 6713, 12054, 1002, 2056, 9198, 6152, 921, 15387, 2638, 44634, 17486, 4144, 2188, 1565, 18979, 16534, 408, 2278, 31, 45838, 36998, 725, 24066, 2134, 14758, 7678, 7452, 20281, 4250, 23078, 24189, 6713, 408, 2336, 4121, 15541, 2564, 4144, 2188, 1565, 2356, 10364, 408, 26043, 37073, 37478, 4121, 15541, 725, 28643, 2065, 5137, 9863, 12191, 568, 204, 24189, 6538, 7859, 3863, 36998, 28531, 7452, 28258, 37704, 1719, 1565, 2356, 40492, 4667, 2114, 1822, 16161, 6551, 12075, 8297, 408, 2336, 16161, 725, 37854, 7292, 28628, 14451, 6538, 2366, 6713, 408, 4126, 22443, 1432, 31400, 38165, 3738, 38, 23758, 11436, 408, 4343, 4734, 3738, 38, 460, 47520, 2034, 408, 1432, 31400, 20188, 17145, 10971, 20281, 1002, 25656, 1955, 21577, 568, 0, 531, 1907, 19, 804, 532, 14131, 204, 531, 1907, 19, 3968, 532, 4036, 204, 531, 570, 68, 47795, 2301, 532, 30194, 2301, 204, 531, 7501, 19, 7082, 19, 2918, 19, 1942, 68, 1723, 68, 45177, 532, 3426, 3368, 9500, 204, 531, 1498, 532, 783, 204, 204, 676, 1295, 25728, 18286, 20728, 13, 6654, 3368, 9500, 17, 14131, 330, 204, 264, 320, 204, 264, 1295, 1322, 348, 275, 19191, 18286, 20728, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 7800, 302, 275, 19191, 18286, 20728, 17, 2864, 204, 264, 275, 1714, 1576, 329, 958, 424, 302, 275, 4559, 824, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 719, 275, 683, 1322, 560, 4141, 273, 458, 302, 30477, 19, 204, 204, 268, 2605, 720, 30477, 974, 570, 68, 47795, 2301, 329, 11040, 1475, 292, 275, 1758, 327, 19, 38020, 69, 3929, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 268, 370, 19, 38020, 31, 783, 64, 47795, 2301, 19, 25728, 18286, 66, 289, 30194, 2301, 19, 5934, 611, 13411, 19, 25728, 18286, 491, 906, 7871, 34, 26, 14, 204, 204, 264, 436, 683, 68, 505, 68, 1835, 68, 1181, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 4559, 824, 2584, 273, 2031, 1714, 1576, 19, 204, 204, 268, 11885, 496, 275, 4559, 824, 311, 275, 379, 13411, 31, 38020, 12, 1274, 2584, 273, 2031, 1714, 1576, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1274, 348, 275, 379, 13411, 31, 38020, 12, 2013, 204, 268, 1779, 289, 4036, 611, 13411, 31, 38020, 534, 204, 822, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 268, 958, 289, 370, 19, 1723, 19, 505, 13, 805, 14, 204, 822, 268, 314, 4416, 496, 275, 1714, 1576, 353, 2031, 204, 268, 370, 19, 2978, 13, 1935, 19, 1835, 68, 1181, 17, 2031, 14, 204, 204, 264, 436, 683, 68, 505, 68, 1935, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 4559, 824, 2584, 275, 1706, 958, 424, 19, 204, 204, 268, 11885, 496, 275, 4559, 824, 311, 275, 379, 13411, 31, 38020, 12, 1274, 2584, 275, 1706, 958, 424, 17, 204, 268, 2864, 275, 1222, 329, 588, 302, 848, 25996, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1274, 348, 275, 379, 13411, 31, 38020, 12, 2013, 204, 268, 1779, 289, 4036, 611, 13411, 31, 38020, 534, 204, 822, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 268, 958, 289, 370, 19, 1723, 19, 505, 13, 805, 14, 204, 822, 268, 314, 4416, 496, 275, 1277, 302, 275, 958, 424, 4083, 275, 542, 302, 30477, 204, 268, 370, 19, 2978, 13, 1796, 13, 1935, 19, 481, 659, 1245, 13, 327, 19, 38020, 602, 204, 204, 268, 314, 1861, 1048, 275, 958, 424, 329, 6767, 275, 1222, 329, 588, 302, 848, 25996, 204, 268, 348, 1040, 17, 25996, 68, 481, 292, 3209, 13, 1935, 19, 481, 330, 204, 305, 314, 4416, 496, 275, 1222, 329, 588, 529, 3113, 292, 275, 25996, 424, 204, 305, 370, 19, 9672, 611, 359, 12, 292, 25996, 68, 481, 19, 3261, 1447, 204, 305, 370, 19, 9672, 611, 417, 12, 292, 25996, 68, 481, 19, 3261, 1447, 204, 3123, 305, 314, 4416, 496, 275, 1222, 329, 588, 2216, 275, 3310, 25996, 204, 305, 370, 19, 2978, 13, 33171, 68, 481, 19, 505, 611, 359, 2008, 370, 19, 38020, 64, 765, 1664, 359, 14, 204, 305, 370, 19, 2978, 13, 33171, 68, 481, 19, 505, 611, 417, 2008, 370, 19, 38020, 64, 765, 1664, 417, 14, 204, 0, 3728, 1583, 275, 6795, 2255, 36, 204, 204, 673, 1113, 6795, 353, 800, 560, 275, 1581, 31, 204, 204, 55, 68, 2609, 289, 500, 19, 25, 204, 204, 3837, 6019, 4569, 4550, 31, 204, 204, 22, 19, 852, 7499, 6795, 322, 55, 68, 72, 14, 3913, 311, 275, 34140, 302, 275, 9297, 19, 204, 23, 19, 14221, 6795, 322, 55, 68, 74, 14, 3913, 311, 275, 6795, 302, 275, 11576, 9823, 292, 275, 24571, 29602, 17, 521, 275, 2210, 302, 2796, 302, 275, 45850, 971, 21898, 19, 204, 24, 19, 15118, 6795, 322, 55, 68, 70, 14, 3913, 311, 275, 2652, 302, 2945, 19, 204, 25, 19, 27873, 6795, 322, 55, 68, 71, 14, 3913, 311, 3714, 292, 275, 7659, 19, 204, 26, 19, 20869, 6795, 322, 55, 68, 76, 14, 3913, 311, 275, 16522, 1727, 19, 204, 204, 7990, 4550, 529, 3232, 560, 275, 2631, 3779, 31, 204, 204, 55, 68, 2609, 289, 361, 68, 72, 465, 361, 68, 74, 465, 361, 68, 70, 465, 361, 68, 71, 465, 361, 68, 76, 204, 204, 3661, 677, 5257, 496, 361, 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, 72, 289, 361, 68, 74, 289, 361, 68, 70, 289, 361, 68, 71, 289, 361, 68, 76, 19, 5512, 31, 204, 204, 55, 68, 2609, 289, 720, 55, 68, 72, 204, 204, 2310, 618, 1425, 8314, 275, 6795, 292, 3099, 302, 275, 35392, 3441, 19, 334, 35392, 3441, 353, 3232, 311, 275, 8035, 302, 275, 6414, 9669, 19, 204, 204, 3070, 970, 2238, 17, 275, 6414, 8035, 353, 800, 560, 31, 204, 204, 41, 68, 11642, 289, 5900, 13, 23, 14, 8591, 412, 204, 204, 3663, 412, 353, 275, 8035, 302, 1051, 1007, 19, 204, 204, 673, 35392, 3441, 322, 55, 68, 77, 14, 353, 800, 560, 31, 204, 204, 55, 68, 77, 289, 412, 68, 11642, 802, 681, 204, 204, 673, 45460, 322, 56, 14, 618, 444, 8286, 292, 3099, 302, 275, 35392, 3441, 31, 204, 204, 56, 289, 322, 55, 68, 77, 22, 338, 361, 68, 77, 23, 14, 802, 322, 55, 68, 77, 22, 465, 361, 68, 77, 23, 14, 204, 204, 673, 3726, 302, 275, 45460, 353, 31, 204, 204, 56, 68, 6534, 289, 387, 22, 802, 387, 23, 204, 204, 1834, 618, 444, 8286, 292, 3099, 302, 275, 970, 904, 2558, 31, 204, 204, 56, 68, 6534, 289, 322, 55, 68, 77, 22, 338, 361, 68, 77, 23, 14, 802, 322, 55, 68, 77, 22, 465, 361, 68, 77, 23, 14, 204, 204, 7108, 31, 334, 4710, 1019, 329, 3779, 1741, 10140, 10625, 523, 275, 2824, 1844, 329, 2085, 19, 0, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 5702, 532, 19527, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2454, 204, 204, 8, 968, 3454, 204, 5605, 68, 8440, 68, 2956, 289, 21299, 204, 1318, 2956, 68, 18838, 289, 39053, 204, 12035, 4544, 68, 37804, 68, 2956, 289, 2958, 204, 45554, 68, 37804, 68, 2956, 289, 2753, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 10465, 13, 935, 68, 546, 17, 2044, 23, 19, 28152, 68, 6828, 14, 204, 204, 461, 10752, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 13070, 437, 752, 311, 273, 1646, 1302, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 10752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 12103, 752, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 752, 5252, 311, 444, 12103, 204, 264, 397, 752, 19, 1827, 64, 21, 66, 1323, 8438, 68, 8440, 68, 2956, 31, 204, 268, 314, 888, 275, 3948, 2479, 204, 268, 3948, 289, 421, 13, 1123, 19, 16304, 13, 935, 19, 1827, 64, 21, 66, 802, 5882, 2956, 68, 18838, 602, 204, 268, 314, 13070, 275, 752, 204, 268, 407, 2044, 23, 19, 9522, 13, 935, 17, 322, 935, 19, 1827, 64, 22, 66, 1654, 3782, 17, 752, 19, 1827, 64, 21, 66, 1654, 3782, 602, 204, 264, 407, 752, 204, 204, 461, 2694, 68, 17316, 13, 935, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 5988, 273, 3618, 302, 3205, 322, 35530, 14, 497, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 2694, 275, 20235, 497, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 4285, 20235, 2992, 322, 93, 17, 469, 17, 306, 17, 373, 789, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 4637, 35530, 13, 935, 14, 204, 204, 461, 12655, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 17604, 298, 437, 752, 974, 273, 7875, 2081, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 12655, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 22260, 752, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 39959, 13, 935, 17, 322, 12035, 4544, 68, 37804, 68, 2956, 17, 24240, 4544, 68, 37804, 68, 2956, 659, 2044, 23, 19, 46599, 68, 6433, 14, 204, 204, 461, 6824, 68, 935, 13, 935, 31, 645, 19, 766, 17, 18162, 31, 927, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 19108, 437, 752, 311, 273, 1713, 20235, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 6824, 19, 204, 268, 18162, 322, 2644, 330, 334, 20235, 2992, 322, 93, 17, 469, 17, 306, 17, 373, 789, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 17725, 752, 19, 204, 264, 320, 204, 264, 407, 752, 64, 17316, 64, 22, 744, 17316, 64, 22, 10809, 17316, 64, 24, 648, 18162, 64, 21, 744, 17316, 64, 21, 10809, 17316, 64, 23, 648, 10113, 204, 204, 461, 1814, 68, 633, 68, 21317, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2208, 437, 752, 311, 275, 21556, 1848, 2817, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6004, 752, 292, 21556, 1848, 2817, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 13104, 13, 935, 17, 2044, 23, 19, 6828, 68, 13219, 23, 34181, 14, 204, 204, 461, 3208, 68, 2004, 68, 12831, 13, 21317, 68, 935, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 666, 273, 3208, 497, 273, 17725, 21556, 752, 19, 204, 204, 264, 457, 31, 204, 268, 28790, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 21556, 752, 19, 204, 204, 264, 475, 31, 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, 927, 31, 334, 3208, 329, 1724, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3208, 5247, 3975, 3237, 204, 264, 314, 1765, 6893, 5356, 17, 407, 273, 11330, 3208, 329, 1724, 204, 264, 3208, 289, 645, 19, 4324, 13, 21317, 68, 935, 19, 1827, 2022, 23, 648, 4798, 34, 1123, 19, 9283, 29, 14, 204, 264, 1724, 289, 388, 22343, 7, 204, 264, 407, 322, 3497, 17, 1724, 659, 1724, 204, 204, 461, 4249, 68, 7208, 13, 21317, 68, 935, 31, 645, 19, 766, 17, 17725, 68, 935, 31, 645, 19, 766, 17, 17725, 68, 21317, 68, 935, 31, 645, 19, 766, 17, 6387, 3643, 31, 927, 17, 6387, 4314, 31, 927, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 437, 4249, 4368, 348, 275, 752, 19, 204, 204, 264, 457, 31, 204, 268, 28790, 68, 935, 322, 1123, 19, 766, 330, 334, 21556, 752, 19, 204, 268, 17725, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 752, 19, 204, 268, 17725, 68, 21317, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 21556, 752, 19, 204, 268, 6387, 3643, 322, 2644, 330, 334, 3124, 2689, 19, 204, 268, 6387, 4314, 322, 2644, 330, 334, 3482, 2689, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 4249, 4368, 5247, 3975, 3237, 204, 264, 314, 1765, 6893, 5356, 17, 2037, 275, 2388, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1258, 17, 887, 602, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 368, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 21317, 68, 935, 17, 2044, 23, 19, 6828, 68, 34181, 23, 13219, 602, 204, 264, 1513, 19, 1778, 499, 34181, 3207, 431, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 435, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 32754, 68, 935, 17, 2044, 23, 19, 6828, 68, 13219, 23, 12685, 602, 204, 264, 1513, 19, 1778, 499, 48556, 3296, 3207, 431, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 571, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 32754, 68, 21317, 68, 935, 17, 2044, 23, 19, 6828, 68, 34181, 23, 13219, 602, 204, 264, 1513, 19, 1778, 499, 48556, 3296, 21556, 3207, 431, 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, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 435, 31, 204, 268, 456, 499, 12534, 31, 5415, 3467, 19, 948, 962, 935, 68, 546, 12962, 204, 268, 407, 204, 204, 264, 752, 68, 546, 289, 2454, 19, 4983, 64, 22, 66, 204, 264, 2171, 68, 935, 289, 1137, 68, 935, 13, 935, 68, 546, 14, 204, 264, 397, 2171, 68, 935, 353, 443, 31, 204, 268, 456, 499, 3504, 311, 1137, 752, 431, 204, 268, 407, 204, 204, 264, 12103, 68, 935, 289, 10752, 68, 935, 13, 6228, 68, 935, 14, 204, 264, 18162, 289, 2694, 68, 17316, 13, 23223, 68, 935, 14, 204, 264, 22260, 68, 935, 289, 12655, 68, 935, 13, 23223, 68, 935, 14, 204, 264, 17725, 68, 935, 289, 6824, 68, 935, 13, 38679, 68, 935, 17, 18162, 14, 204, 264, 28790, 68, 935, 289, 1814, 68, 633, 68, 21317, 13, 38679, 68, 935, 14, 204, 264, 17725, 68, 21317, 68, 935, 289, 1814, 68, 633, 68, 21317, 13, 32754, 68, 935, 14, 204, 264, 322, 4169, 3643, 17, 6387, 4314, 659, 1724, 289, 3208, 68, 2004, 68, 12831, 13, 32754, 68, 21317, 68, 935, 14, 204, 264, 4249, 68, 7208, 13, 21317, 68, 935, 17, 17725, 68, 935, 17, 17725, 68, 21317, 68, 935, 17, 6387, 3643, 17, 6387, 4314, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 13830, 532, 21796, 204, 531, 1498, 532, 30189, 17, 5006, 17, 2334, 204, 204, 8, 968, 273, 1187, 1554, 348, 275, 407, 1187, 204, 4536, 2191, 289, 30189, 499, 4536, 2191, 431, 204, 204, 461, 2652, 68, 3309, 68, 932, 13, 3573, 68, 932, 31, 5006, 8538, 5588, 648, 455, 2191, 694, 393, 5006, 20465, 5006, 20465, 455, 2191, 2440, 204, 264, 320, 204, 264, 475, 273, 11820, 496, 3731, 275, 407, 1187, 302, 273, 741, 311, 275, 1187, 1713, 560, 1758, 3573, 68, 932, 6557, 204, 204, 264, 457, 31, 204, 268, 2652, 68, 932, 31, 332, 7063, 496, 5178, 1169, 1187, 329, 2584, 273, 700, 302, 1187, 1758, 4536, 2191, 6557, 204, 204, 264, 475, 31, 204, 268, 332, 11820, 496, 3731, 275, 407, 1187, 302, 273, 741, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 437, 908, 3459, 1335, 9793, 275, 407, 1187, 19, 204, 264, 320, 204, 264, 436, 2652, 13, 4266, 31, 5006, 20465, 2334, 694, 393, 5006, 20465, 455, 2191, 744, 204, 268, 320, 204, 268, 27107, 496, 3731, 275, 407, 1187, 302, 273, 741, 19, 204, 204, 268, 457, 31, 204, 305, 6398, 31, 334, 741, 311, 28498, 19, 204, 204, 268, 475, 31, 204, 305, 332, 13170, 741, 440, 275, 7716, 407, 1187, 19, 204, 268, 320, 204, 268, 1642, 21162, 13, 4266, 14, 204, 268, 436, 9073, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 455, 2191, 31, 204, 305, 314, 3289, 311, 2428, 275, 2171, 741, 329, 2652, 1163, 407, 1187, 204, 305, 810, 31, 204, 485, 722, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 485, 314, 3291, 275, 2652, 68, 932, 741, 311, 275, 722, 204, 485, 407, 2652, 68, 932, 13, 1300, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 275, 2710, 329, 1308, 273, 10430, 908, 943, 204, 485, 980, 987, 13, 75, 7, 596, 9793, 407, 1187, 31, 463, 325, 13, 74, 3835, 497, 318, 204, 268, 407, 9073, 204, 264, 407, 2652, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 1763, 3263, 204, 264, 436, 1763, 68, 2539, 374, 393, 394, 31, 204, 268, 320, 5063, 741, 496, 2584, 273, 782, 1279, 204, 268, 407, 388, 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, 5975, 17, 5179, 9851, 204, 204, 264, 436, 1763, 68, 2539, 68, 2004, 68, 1038, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 268, 320, 5063, 741, 496, 2584, 437, 1534, 1279, 204, 268, 407, 273, 465, 308, 204, 204, 264, 314, 666, 6942, 2471, 311, 2652, 407, 3003, 204, 264, 311, 68, 873, 289, 2652, 68, 3309, 68, 932, 13, 873, 14, 204, 264, 311, 68, 2644, 289, 2652, 68, 3309, 68, 932, 13, 2644, 14, 204, 264, 311, 68, 655, 289, 2652, 68, 3309, 68, 932, 13, 655, 14, 204, 264, 311, 68, 574, 289, 2652, 68, 3309, 68, 932, 13, 574, 14, 204, 204, 264, 314, 3291, 6942, 2471, 311, 1763, 3263, 204, 264, 13170, 68, 2569, 68, 2539, 289, 311, 68, 873, 13, 2569, 68, 2539, 14, 204, 264, 13170, 68, 2569, 68, 2539, 68, 2004, 68, 1038, 289, 311, 68, 655, 13, 2569, 68, 2539, 68, 2004, 68, 1038, 14, 204, 204, 264, 314, 1295, 275, 13170, 3263, 204, 264, 456, 13, 10255, 756, 68, 2569, 68, 2539, 1447, 226, 314, 3215, 31, 2552, 45, 597, 368, 17, 379, 74, 597, 368, 17, 379, 81, 597, 571, 17, 379, 84, 597, 435, 17, 7537, 597, 368, 17, 379, 18469, 368, 17, 379, 60, 597, 368, 17, 379, 87, 597, 368, 17, 379, 73, 597, 368, 17, 42311, 597, 368, 98, 204, 264, 456, 13, 10255, 756, 68, 2569, 68, 2539, 68, 2004, 68, 1038, 13, 22, 17, 435, 602, 226, 314, 3215, 31, 551, 24, 66, 204, 0, 837, 275, 5086, 20388, 677, 17, 22249, 20117, 348, 2263, 329, 9104, 14453, 1465, 45243, 292, 275, 5926, 302, 2263, 4489, 275, 1519, 348, 1182, 2263, 18, 9315, 424, 19, 14614, 23460, 16328, 16879, 17, 12574, 302, 5140, 17, 13129, 329, 3221, 16879, 17, 329, 1910, 5955, 12488, 2080, 1742, 21035, 2263, 424, 19, 3355, 17, 2404, 302, 6108, 292, 15913, 329, 8941, 17, 1910, 302, 275, 424, 12442, 1466, 41672, 19, 592, 32964, 17, 448, 273, 1660, 10996, 22843, 1182, 9000, 516, 17, 275, 24383, 302, 275, 34435, 322, 1520, 275, 15792, 302, 14628, 329, 34435, 17, 650, 12732, 14, 16687, 379, 13904, 5003, 332, 18, 5645, 12, 928, 11188, 17259, 348, 21035, 2263, 424, 329, 1425, 13335, 448, 273, 47106, 348, 4141, 275, 15792, 302, 10748, 1594, 1212, 48066, 322, 22481, 15223, 14, 2614, 275, 548, 19, 56, 19, 42157, 18237, 19, 1058, 4960, 22161, 5378, 17, 3113, 17, 329, 5094, 12759, 302, 275, 7159, 1283, 2986, 292, 275, 5946, 40335, 329, 11266, 6193, 560, 332, 9155, 322, 17345, 12360, 348, 12016, 329, 26958, 14, 18019, 412, 18, 1794, 523, 10748, 677, 3685, 40561, 412, 18, 1794, 19, 8265, 523, 48114, 6423, 17, 4613, 15909, 6531, 17, 329, 3594, 18414, 18582, 19, 334, 9206, 1425, 11208, 8916, 12759, 302, 11266, 338, 4383, 1225, 48696, 13013, 560, 650, 60, 15223, 329, 332, 9155, 19, 204, 18150, 35565, 23126, 204, 32960, 1283, 275, 6838, 1922, 2154, 302, 10290, 2986, 348, 2263, 424, 21446, 329, 332, 9155, 11266, 204, 8891, 81, 560, 332, 9155, 204, 6674, 24000, 17, 15845, 17, 5269, 5439, 204, 22288, 727, 6194, 13279, 31, 204, 38, 9155, 15091, 31433, 35565, 204, 21841, 299, 10748, 292, 275, 14667, 677, 31, 28797, 2991, 1407, 34699, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 9186, 12885, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 311, 1640, 8916, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 711, 68, 932, 322, 325, 330, 2838, 302, 711, 322, 74, 19, 76, 2458, 908, 17, 10473, 17, 3986, 14, 204, 268, 2851, 322, 325, 330, 8953, 302, 275, 711, 322, 9899, 14, 204, 268, 1724, 322, 325, 330, 13279, 302, 275, 711, 204, 268, 1666, 322, 325, 330, 13131, 302, 275, 711, 204, 268, 1966, 68, 834, 322, 2664, 330, 15811, 1330, 275, 711, 867, 1966, 204, 264, 320, 204, 204, 264, 13083, 68, 8516, 68, 10337, 289, 551, 204, 268, 2448, 718, 491, 379, 596, 2008, 204, 268, 2448, 9041, 491, 379, 18928, 2008, 204, 268, 2448, 1270, 491, 379, 5655, 2008, 204, 264, 2437, 204, 204, 264, 711, 68, 932, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2177, 17, 5426, 34, 7190, 68, 8516, 68, 10337, 14, 204, 264, 2851, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2177, 17, 3749, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2562, 14, 204, 264, 1666, 289, 1094, 19, 7320, 374, 226, 314, 22364, 311, 40211, 348, 6397, 1666, 204, 264, 1966, 68, 834, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 761, 68, 932, 98, 338, 463, 327, 19, 1778, 2495, 204, 0, 531, 1907, 19, 11761, 532, 2111, 17, 636, 68, 1386, 68, 276, 68, 7793, 204, 531, 3061, 7435, 19, 11949, 395, 11827, 532, 392, 3128, 269, 449, 204, 531, 3061, 7435, 19, 3174, 532, 4382, 68, 9085, 204, 531, 2617, 1618, 532, 6993, 204, 204, 461, 636, 68, 668, 68, 29820, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4491, 830, 1640, 3695, 497, 275, 1104, 329, 2111, 275, 1112, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1112, 1472, 440, 1640, 3695, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 1640, 3695, 497, 275, 1104, 204, 264, 1640, 68, 4810, 289, 6993, 19, 2856, 19, 668, 374, 204, 264, 407, 2111, 13, 1443, 17, 379, 998, 19, 2079, 491, 2552, 4046, 68, 4810, 597, 1640, 68, 4810, 1937, 204, 204, 461, 2111, 68, 3366, 68, 2225, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4784, 275, 2852, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 2852, 1472, 19, 204, 264, 320, 204, 264, 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, 407, 2111, 13, 1443, 17, 379, 3366, 19, 2079, 491, 12881, 204, 204, 461, 2906, 68, 3366, 68, 1803, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 2852, 1813, 2164, 329, 2111, 275, 1640, 3695, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1640, 3695, 1472, 440, 15182, 11040, 19, 204, 264, 320, 204, 264, 397, 824, 19, 1939, 564, 379, 5016, 597, 204, 268, 314, 763, 275, 1813, 1484, 497, 275, 4559, 824, 204, 268, 1813, 68, 2120, 289, 824, 19, 5016, 19, 505, 611, 3366, 9468, 336, 534, 204, 268, 314, 763, 275, 2852, 2992, 497, 275, 1813, 1484, 204, 268, 2852, 289, 636, 68, 3366, 68, 5099, 13, 1803, 68, 2120, 14, 204, 268, 314, 763, 275, 575, 677, 1813, 2992, 204, 268, 575, 68, 1803, 289, 322, 3366, 19, 10204, 17, 2852, 19, 11117, 14, 204, 264, 902, 31, 204, 268, 314, 763, 275, 575, 677, 1813, 2992, 497, 275, 6379, 824, 204, 268, 575, 68, 1803, 289, 322, 996, 13, 1443, 19, 4252, 736, 2603, 11028, 818, 13, 1443, 19, 4252, 736, 5515, 13649, 204, 204, 264, 314, 763, 275, 15182, 11040, 2614, 273, 931, 18, 21015, 3441, 204, 264, 15182, 68, 29820, 289, 636, 68, 43419, 68, 29820, 13, 816, 68, 1803, 14, 204, 264, 314, 4784, 275, 1640, 3695, 1472, 440, 15182, 11040, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 4810, 19, 2079, 491, 2552, 4046, 68, 655, 597, 15182, 68, 29820, 1937, 204, 204, 461, 636, 68, 3366, 68, 5099, 13, 1803, 68, 2120, 31, 394, 14, 393, 392, 3128, 269, 449, 31, 204, 264, 320, 204, 264, 763, 2852, 2992, 497, 273, 1813, 1484, 974, 392, 3128, 269, 449, 11363, 13569, 19, 204, 204, 264, 457, 31, 204, 268, 1813, 68, 2120, 322, 325, 330, 334, 1813, 1484, 311, 636, 2852, 2992, 348, 19, 204, 204, 264, 475, 31, 204, 268, 392, 3128, 269, 449, 31, 334, 2852, 2992, 19, 204, 264, 320, 204, 264, 314, 666, 273, 392, 3128, 269, 449, 11363, 13569, 204, 264, 11363, 13569, 289, 392, 3128, 269, 449, 374, 204, 264, 314, 763, 275, 2852, 2992, 497, 275, 1813, 1484, 204, 264, 407, 11363, 13569, 19, 42374, 13, 1803, 68, 2120, 14, 204, 204, 461, 636, 68, 43419, 68, 29820, 13, 816, 68, 1803, 31, 927, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 15182, 11040, 2614, 273, 931, 18, 21015, 3441, 19, 204, 204, 264, 457, 31, 204, 268, 575, 68, 1803, 322, 2644, 330, 334, 575, 677, 1813, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 15182, 11040, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 15182, 11040, 204, 264, 15182, 68, 29820, 289, 1306, 204, 264, 314, 4491, 830, 11040, 497, 275, 1104, 204, 264, 11040, 289, 6993, 19, 2856, 19, 668, 374, 204, 264, 314, 1861, 1048, 848, 1640, 204, 264, 348, 1640, 292, 11040, 31, 204, 268, 314, 763, 275, 1640, 677, 2992, 204, 268, 1640, 68, 5099, 289, 322, 4046, 19, 10204, 17, 1640, 19, 11117, 14, 204, 268, 314, 888, 275, 1759, 1283, 275, 575, 677, 1813, 2992, 329, 275, 1640, 677, 2992, 204, 268, 1759, 289, 4382, 68, 9085, 13, 816, 68, 1803, 17, 1640, 68, 5099, 789, 30053, 204, 268, 314, 778, 397, 275, 1759, 353, 2614, 931, 6172, 204, 268, 397, 1759, 962, 931, 31, 204, 305, 314, 666, 273, 1640, 726, 440, 588, 17, 1995, 17, 329, 1276, 204, 305, 1640, 68, 1386, 289, 463, 204, 485, 379, 417, 597, 1640, 19, 417, 17, 204, 485, 379, 2820, 597, 1640, 19, 2820, 17, 204, 485, 379, 359, 597, 1640, 19, 359, 204, 305, 1211, 204, 305, 314, 1255, 275, 1640, 726, 311, 275, 458, 302, 15182, 11040, 204, 305, 15182, 68, 29820, 19, 1223, 13, 4046, 68, 1386, 14, 204, 264, 314, 455, 275, 458, 302, 15182, 11040, 204, 264, 407, 15182, 68, 29820, 204, 204, 461, 636, 68, 4046, 68, 4810, 13, 1443, 17, 1640, 68, 359, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4784, 275, 1640, 3695, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 268, 1640, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1640, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1640, 3695, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1640, 726, 521, 980, 273, 9485, 908, 397, 490, 1583, 508, 1337, 204, 264, 1640, 289, 636, 68, 1386, 68, 276, 68, 7793, 13, 12909, 17, 11491, 34, 4046, 68, 359, 14, 204, 264, 314, 4784, 275, 1640, 3695, 1472, 440, 275, 1640, 677, 588, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 12930, 19, 2079, 491, 2552, 417, 68, 522, 68, 4046, 597, 1640, 19, 417, 1937, 204, 0, 8, 2026, 311, 20645, 2877, 316, 292, 6057, 204, 204, 13244, 2877, 344, 353, 273, 1216, 496, 5018, 4449, 424, 1728, 311, 2885, 521, 7361, 5094, 1019, 19, 1547, 353, 273, 798, 302, 41790, 496, 5814, 732, 302, 3542, 6058, 311, 1900, 3705, 10701, 275, 933, 302, 8696, 424, 19, 204, 204, 658, 2935, 353, 20645, 2877, 344, 36, 204, 204, 13244, 2877, 344, 5628, 6432, 275, 3542, 9767, 302, 273, 424, 758, 329, 26495, 490, 10701, 275, 933, 302, 275, 424, 1728, 19, 4596, 8205, 754, 17, 572, 618, 2885, 5094, 1019, 496, 1741, 508, 444, 2755, 311, 451, 7301, 19, 1058, 353, 3667, 3870, 974, 3542, 6058, 17, 928, 353, 273, 12721, 1352, 496, 1094, 273, 3542, 3633, 1283, 970, 521, 1182, 2558, 19, 204, 204, 658, 2026, 311, 20645, 2877, 316, 292, 6057, 204, 204, 1449, 40552, 316, 292, 6057, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 2101, 275, 424, 1728, 1416, 11612, 275, 424, 1728, 1025, 437, 6057, 20109, 19, 204, 23, 19, 930, 11345, 275, 480, 1143, 7243, 741, 1416, 1974, 275, 480, 1143, 7243, 741, 311, 949, 275, 3542, 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, 6058, 1581, 19, 204, 24, 19, 930, 2101, 275, 1673, 610, 18, 876, 329, 1581, 2072, 1416, 11612, 275, 1673, 610, 18, 876, 329, 275, 1581, 2072, 1025, 275, 1581, 469, 289, 14566, 465, 308, 17, 1273, 309, 353, 275, 5372, 329, 308, 353, 275, 469, 18, 9097, 19, 204, 25, 19, 930, 13244, 2877, 316, 275, 424, 1728, 1416, 1974, 275, 1581, 311, 40552, 316, 275, 424, 1728, 560, 18120, 275, 610, 18, 1309, 496, 872, 3480, 311, 40552, 316, 329, 8397, 275, 3310, 469, 18, 1309, 19, 204, 204, 658, 4496, 6057, 884, 88, 39561, 23742, 204, 204, 1449, 40552, 316, 974, 273, 11250, 6338, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 5964, 273, 11250, 6338, 1416, 5988, 275, 424, 1728, 329, 4974, 523, 275, 1622, 35116, 1001, 2963, 292, 275, 1407, 17432, 8951, 19, 204, 23, 19, 930, 4421, 273, 9767, 1054, 1416, 15169, 18, 4357, 523, 275, 6338, 329, 2694, 1622, 4421, 32729, 1054, 10559, 204, 24, 19, 930, 2101, 275, 2072, 348, 275, 9767, 1054, 1416, 11612, 275, 2072, 348, 275, 9767, 1054, 292, 275, 8320, 2871, 19, 204, 25, 19, 930, 11345, 275, 9767, 1054, 1581, 1416, 1974, 275, 9767, 1054, 1581, 311, 40552, 316, 275, 424, 1728, 19, 204, 204, 658, 4496, 6057, 884, 88, 38359, 5867, 204, 204, 1449, 40552, 316, 974, 275, 38359, 741, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 10894, 275, 424, 1728, 1416, 5988, 275, 424, 1728, 329, 4974, 523, 275, 1622, 23277, 4400, 1001, 2963, 292, 275, 1407, 17432, 8951, 19, 204, 23, 19, 930, 2101, 275, 2072, 348, 275, 10929, 1416, 11612, 275, 2072, 348, 275, 10929, 292, 275, 8320, 2871, 19, 204, 24, 19, 930, 11345, 275, 1581, 311, 40552, 316, 1416, 1974, 275, 1581, 311, 40552, 316, 275, 424, 1728, 19, 204, 204, 658, 11831, 657, 302, 20645, 2877, 344, 204, 204, 13244, 2877, 344, 869, 4569, 18113, 17, 2864, 31, 204, 204, 15, 930, 837, 18316, 16631, 1416, 20645, 2877, 657, 529, 26075, 447, 31756, 17, 754, 275, 3666, 302, 275, 40552, 344, 1741, 508, 444, 3060, 17590, 19, 204, 15, 930, 21495, 336, 560, 424, 1728, 1416, 20645, 2877, 657, 529, 9122, 560, 275, 424, 1728, 496, 529, 1376, 19, 828, 275, 933, 302, 275, 424, 1728, 353, 9122, 17, 1675, 275, 40552, 344, 1741, 508, 444, 3060, 10205, 19, 204, 15, 930, 21495, 336, 560, 3263, 2755, 1416, 20645, 2877, 657, 292, 6057, 529, 9122, 560, 275, 3263, 2755, 19, 7954, 6057, 1583, 874, 4569, 1792, 40552, 344, 3263, 17, 1250, 1741, 508, 830, 444, 12697, 348, 275, 424, 758, 496, 872, 529, 4636, 440, 19, 204, 204, 658, 29772, 6235, 8716, 336, 15195, 204, 204, 15, 930, 3728, 353, 20645, 2877, 344, 18931, 20645, 2877, 344, 353, 273, 12721, 1216, 496, 5018, 4449, 424, 1728, 311, 7361, 1019, 7066, 302, 275, 8696, 933, 19, 204, 15, 930, 3728, 529, 275, 36633, 302, 20645, 2877, 344, 292, 6057, 18931, 20645, 2877, 1070, 292, 6057, 869, 4569, 17428, 17, 2864, 9295, 9471, 37801, 329, 3705, 1609, 523, 4449, 424, 19, 204, 15, 930, 2920, 4128, 3665, 20645, 2877, 316, 1594, 292, 6057, 18931, 20645, 2877, 1070, 424, 292, 6057, 353, 273, 3277, 1352, 496, 5628, 17318, 275, 424, 1728, 17, 974, 437, 40552, 344, 741, 17, 329, 9471, 37801, 19, 204, 15, 930, 2920, 4176, 712, 316, 529, 20645, 2877, 657, 292, 6057, 18931, 334, 3666, 302, 40552, 657, 292, 6057, 8788, 523, 275, 424, 1728, 1376, 329, 275, 40552, 344, 10395, 19, 204, 15, 930, 3728, 21098, 16575, 444, 11328, 336, 4168, 20645, 2877, 1070, 292, 6057, 18931, 4168, 40552, 1070, 292, 6057, 17, 2506, 275, 424, 1728, 17, 40552, 344, 10395, 17, 329, 3666, 302, 275, 40552, 344, 19, 0, 315, 204, 1834, 2413, 3192, 275, 667, 1650, 3975, 348, 273, 3017, 2150, 1650, 19, 204, 3837, 13401, 1586, 424, 497, 273, 10044, 510, 329, 752, 424, 17, 1675, 25006, 437, 2966, 2399, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 204, 647, 287, 9648, 448, 11055, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1061, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 461, 1137, 68, 7491, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1385, 1586, 424, 497, 273, 10044, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 10044, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 9387, 1586, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 329, 1137, 275, 10044, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 11055, 19, 986, 13, 553, 17, 40304, 34, 9648, 19, 18984, 4929, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 510, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 954, 424, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1137, 68, 935, 68, 481, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 752, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 9387, 752, 424, 19, 204, 264, 320, 204, 264, 314, 8111, 752, 424, 322, 11813, 2549, 444, 10741, 440, 2641, 424, 4644, 3975, 14, 204, 264, 424, 289, 463, 204, 268, 379, 359, 597, 551, 22, 648, 204, 268, 379, 805, 597, 2470, 3189, 1963, 4537, 19, 4975, 337, 979, 19, 301, 20, 1551, 323, 3418, 20, 2300, 2353, 18, 533, 728, 402, 18, 31759, 18, 404, 18, 70, 49072, 366, 555, 32543, 18, 285, 18, 15476, 3418, 18, 1268, 7387, 6692, 18, 7267, 839, 204, 264, 1211, 204, 264, 407, 1246, 19, 1362, 13, 481, 14, 204, 204, 37, 748, 19, 3955, 19255, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4784, 275, 1112, 2966, 2399, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 44230, 2966, 2399, 19, 204, 264, 320, 204, 264, 314, 1385, 1586, 329, 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, 752, 424, 204, 264, 954, 68, 481, 289, 1137, 68, 7491, 68, 481, 16777, 1087, 19, 9648, 534, 204, 264, 752, 68, 481, 289, 1137, 68, 935, 68, 481, 374, 204, 615, 264, 314, 4784, 275, 1112, 2399, 440, 275, 3271, 424, 204, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 954, 34, 1087, 68, 481, 17, 2388, 34, 935, 68, 481, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 778, 397, 275, 1650, 353, 2545, 1523, 5104, 521, 1924, 273, 1354, 18, 1054, 4510, 204, 264, 532, 2454, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 1323, 368, 31, 204, 268, 314, 2466, 275, 1650, 1924, 275, 471, 3391, 70, 14857, 204, 268, 497, 731, 3804, 532, 7411, 204, 268, 7411, 13, 748, 17, 1034, 68, 805, 833, 3189, 1963, 897, 649, 18989, 5779, 19, 8750, 19, 936, 15357, 204, 264, 902, 31, 204, 268, 314, 2466, 275, 1650, 5104, 204, 268, 740, 19, 1777, 13, 4561, 34, 1021, 17, 2442, 833, 21, 19, 21, 19, 21, 19, 21, 491, 2054, 34, 5303, 473, 14, 204, 0, 1380, 12636, 302, 552, 19, 40, 19, 43, 19, 204, 204, 673, 3564, 302, 31240, 322, 38799, 5772, 9533, 9865, 14, 529, 448, 6353, 31, 204, 204, 22, 19, 930, 673, 552, 19, 40, 19, 43, 19, 302, 970, 521, 1182, 886, 2950, 444, 3114, 1194, 1169, 1051, 302, 1475, 11599, 204, 262, 338, 1165, 31, 334, 552, 19, 40, 19, 43, 19, 302, 2247, 17, 1916, 17, 329, 3528, 353, 435, 17, 928, 353, 2202, 1194, 830, 275, 800, 886, 19, 204, 204, 23, 19, 930, 3719, 1051, 542, 353, 273, 2479, 302, 275, 904, 886, 17, 1017, 552, 19, 40, 19, 43, 19, 1120, 444, 496, 5527, 542, 11599, 204, 262, 338, 1165, 31, 1132, 353, 275, 552, 19, 40, 19, 43, 19, 302, 1132, 17, 4236, 17, 329, 2846, 19, 204, 204, 24, 19, 930, 673, 552, 19, 40, 19, 43, 19, 302, 275, 886, 353, 275, 1351, 302, 275, 2323, 2727, 3857, 11599, 204, 262, 338, 1165, 31, 334, 552, 19, 40, 19, 43, 19, 302, 2905, 329, 4662, 353, 2905, 17, 928, 353, 275, 1351, 302, 275, 2323, 2727, 3857, 435, 329, 1168, 19, 204, 262, 338, 9076, 31, 4682, 368, 353, 4501, 273, 2323, 2479, 302, 830, 886, 17, 490, 353, 5971, 508, 5052, 448, 273, 2323, 2479, 17, 448, 490, 353, 14733, 19, 0, 647, 11609, 204, 531, 11609, 19, 1549, 532, 5453, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 8, 968, 3454, 204, 9237, 289, 388, 24676, 68, 40578, 5754, 68, 17672, 68, 9237, 7, 226, 314, 4546, 440, 1214, 1363, 1948, 204, 14984, 289, 40924, 7, 226, 314, 8476, 4016, 204, 15831, 289, 5075, 1207, 226, 314, 3331, 204, 204, 676, 16582, 8759, 13, 6792, 19, 8759, 330, 204, 264, 320, 38, 16582, 1363, 496, 32388, 311, 4802, 5453, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 12413, 275, 1363, 1279, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 2196, 68, 4830, 289, 25384, 12327, 204, 204, 264, 4470, 436, 523, 68, 2659, 13, 327, 330, 204, 268, 320, 5653, 16696, 1330, 275, 1363, 353, 7829, 1279, 204, 268, 1361, 19, 1270, 499, 673, 1363, 353, 7829, 1280, 204, 204, 264, 4470, 436, 523, 68, 2196, 68, 718, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 908, 31, 5453, 19, 7352, 596, 330, 204, 268, 320, 16514, 1354, 2744, 1279, 204, 268, 397, 2381, 13, 718, 17, 5453, 19, 7352, 2995, 330, 204, 305, 4177, 7773, 19, 3345, 499, 1962, 1354, 19, 2982, 810, 2528, 1280, 204, 268, 902, 31, 204, 305, 1361, 19, 718, 13, 718, 14, 204, 204, 676, 8476, 88, 13, 6792, 19, 28886, 330, 204, 264, 320, 38, 3599, 302, 5453, 348, 275, 1363, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1363, 31, 16582, 8759, 330, 204, 268, 320, 12413, 275, 5453, 1279, 204, 268, 370, 19, 2511, 289, 1363, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 9226, 528, 1340, 1022, 21983, 273, 15399, 943, 311, 275, 3906, 1280, 204, 264, 4470, 436, 15399, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 21983, 273, 15399, 943, 311, 275, 3906, 1279, 204, 268, 4177, 7773, 19, 3345, 499, 5975, 5397, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 8668, 528, 1340, 1022, 5995, 275, 1363, 677, 26207, 1280, 204, 264, 4470, 436, 17303, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 5995, 275, 1363, 677, 26207, 1279, 204, 268, 26207, 289, 370, 19, 2511, 19, 29824, 540, 3861, 204, 268, 4177, 7773, 19, 3345, 13, 75, 7, 53, 299, 31, 463, 29824, 4567, 23, 75, 98, 1015, 431, 204, 204, 461, 667, 1293, 204, 264, 320, 6552, 275, 1363, 1279, 204, 264, 1363, 289, 16582, 8759, 374, 204, 264, 1363, 19, 826, 68, 25056, 13, 32714, 13, 2511, 602, 204, 264, 1363, 19, 1777, 13, 9237, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 529, 275, 5872, 18, 398, 10537, 302, 275, 3888, 329, 6306, 31, 204, 204, 777, 9240, 368, 4626, 2935, 677, 275, 4628, 1916, 20, 2500, 8016, 311, 1163, 10658, 3099, 36, 204, 777, 4706, 4626, 334, 4628, 1916, 20, 2500, 8016, 311, 1163, 10658, 3099, 353, 571, 20, 25, 19, 204, 204, 777, 9240, 435, 4626, 1131, 275, 1136, 302, 275, 1324, 17, 273, 4712, 8316, 4236, 5967, 8287, 521, 35204, 329, 3528, 5967, 1466, 2312, 685, 348, 17306, 19, 828, 275, 4712, 15975, 2080, 368, 17, 45069, 5967, 17, 1662, 1910, 1466, 1824, 523, 275, 43328, 521, 292, 23998, 36, 204, 777, 4706, 4626, 2416, 1020, 275, 542, 302, 5967, 1824, 17, 5400, 275, 542, 302, 5967, 8287, 521, 35204, 329, 275, 542, 302, 5967, 2312, 685, 348, 17306, 497, 275, 2171, 542, 302, 5967, 19, 226, 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, 22, 17, 45069, 338, 4236, 289, 368, 17, 35913, 204, 22, 17, 35913, 338, 3528, 289, 368, 17, 26959, 204, 2551, 17, 275, 542, 302, 5967, 1824, 353, 368, 17, 26959, 19, 204, 204, 777, 9240, 571, 4626, 20239, 275, 7448, 31, 720, 465, 681, 289, 5478, 204, 777, 4706, 4626, 720, 465, 681, 289, 1233, 19, 204, 204, 777, 9240, 681, 4626, 2935, 677, 275, 1502, 302, 1233, 292, 275, 542, 1233, 2177, 17, 2934, 26, 36, 204, 777, 4706, 4626, 592, 275, 542, 1233, 2177, 17, 2934, 26, 17, 275, 1502, 302, 1233, 353, 292, 275, 7584, 18, 427, 36211, 2481, 19, 204, 204, 777, 9240, 720, 4626, 2935, 677, 275, 6276, 2661, 302, 4854, 36, 204, 777, 4706, 4626, 334, 6276, 2661, 302, 4854, 353, 6177, 19, 204, 204, 777, 9240, 887, 4626, 10643, 758, 353, 437, 1763, 302, 2090, 6249, 36, 204, 777, 4706, 4626, 13923, 6249, 874, 275, 1729, 5081, 19, 1346, 1763, 302, 2090, 6249, 353, 368, 20, 25, 329, 571, 20, 25, 19, 0, 4377, 275, 11929, 3263, 31, 204, 204, 9, 75, 13, 76, 13, 93, 602, 289, 283, 13, 22, 20, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 7078, 440, 273, 4064, 302, 686, 93, 688, 19484, 500, 9, 204, 204, 9, 76, 13, 75, 13, 93, 602, 289, 357, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 7078, 440, 273, 4064, 302, 686, 93, 688, 19484, 500, 9, 204, 204, 2310, 618, 17219, 496, 1855, 11929, 3263, 874, 275, 1729, 4064, 25286, 17, 686, 93, 688, 19484, 500, 2543, 5850, 496, 1855, 686, 75, 13, 93, 3920, 329, 686, 76, 13, 93, 3920, 529, 23366, 630, 686, 93, 289, 500, 2176, 716, 204, 1449, 1020, 275, 3509, 3263, 686, 75, 13, 93, 3920, 329, 686, 76, 13, 93, 9852, 2249, 677, 7009, 275, 800, 11929, 3263, 31, 204, 204, 22, 19, 686, 75, 13, 76, 13, 93, 602, 289, 283, 13, 22, 20, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 204, 204, 3661, 686, 90, 289, 357, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 4742, 5512, 17, 686, 75, 13, 90, 14, 289, 688, 1209, 96, 22, 20, 90, 15361, 22, 20, 90, 2246, 23, 465, 368, 98, 289, 688, 1209, 96, 22, 20, 90, 1134, 22, 20, 90, 67, 23, 465, 368, 98, 289, 688, 1209, 96, 90, 1134, 90, 67, 23, 465, 368, 4742, 204, 204, 2551, 17, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 4742, 204, 204, 23, 19, 686, 76, 13, 75, 13, 93, 602, 289, 357, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 1617, 204, 204, 3661, 686, 91, 289, 283, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 4742, 5512, 17, 686, 76, 13, 91, 14, 289, 688, 1209, 96, 22, 465, 322, 22, 20, 91, 2246, 23, 1134, 22, 20, 91, 98, 289, 688, 1209, 96, 91, 67, 23, 465, 368, 1134, 91, 4742, 204, 204, 4237, 17, 497, 275, 1043, 1581, 17, 572, 2379, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 4742, 4087, 17, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 1583, 508, 5104, 1696, 497, 275, 1350, 11929, 741, 19, 13472, 17, 572, 618, 6767, 397, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 12478, 275, 800, 686, 76, 13, 75, 13, 93, 602, 2176, 204, 204, 18106, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 1025, 686, 76, 13, 75, 13, 93, 602, 13137, 204, 204, 9, 76, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 465, 688, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 2246, 23, 4773, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 96, 22, 465, 688, 1209, 96, 93, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 3164, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 465, 610, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 3164, 1209, 96, 22, 465, 435, 93, 67, 23, 465, 610, 67, 25, 465, 610, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 96, 22, 465, 571, 93, 67, 23, 465, 610, 67, 25, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 465, 435, 93, 67, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 465, 688, 1209, 96, 23, 93, 67, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 98, 465, 688, 1209, 96, 23, 93, 1134, 22, 16, 93, 67, 23, 1617, 204, 204, 1834, 1583, 508, 5104, 5620, 311, 1743, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 1617, 448, 800, 19, 334, 18643, 3237, 353, 292, 14958, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 5104, 2900, 11050, 3356, 4059, 490, 497, 686, 76, 13, 75, 13, 93, 602, 2176, 716, 204, 4377, 686, 75, 13, 76, 13, 93, 602, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 329, 686, 76, 13, 75, 13, 93, 602, 289, 688, 1209, 96, 22, 16, 93, 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, 30708, 17, 19508, 1856, 3074, 4101, 508, 311, 23854, 1169, 302, 275, 19232, 17, 18183, 521, 4968, 3307, 292, 275, 618, 94, 271, 329, 444, 6430, 311, 3864, 719, 1877, 7105, 19, 3242, 11435, 11083, 43259, 7198, 29550, 5602, 3252, 302, 275, 21954, 43165, 17, 388, 44830, 490, 448, 490, 353, 19, 334, 10673, 874, 1742, 630, 1225, 523, 490, 17, 329, 1064, 618, 1698, 5080, 490, 19, 2935, 872, 618, 770, 353, 311, 3550, 490, 348, 1214, 2804, 17, 1214, 2804, 677, 2804, 17, 329, 348, 830, 1415, 3891, 1877, 872, 17, 448, 1051, 302, 275, 4382, 297, 1500, 928, 2589, 4719, 17, 397, 566, 618, 5886, 630, 830, 17, 1856, 3020, 3343, 0, 531, 1804, 532, 1489, 204, 204, 676, 6909, 31, 204, 264, 320, 204, 264, 2646, 273, 1874, 440, 273, 588, 329, 2523, 19, 204, 204, 264, 1532, 31, 204, 268, 3101, 68, 417, 322, 325, 330, 334, 1874, 677, 3101, 588, 19, 204, 268, 5251, 68, 2873, 322, 339, 330, 334, 1874, 677, 5251, 1324, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3101, 68, 417, 31, 394, 17, 5251, 68, 2873, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 6909, 726, 19, 204, 204, 268, 457, 31, 204, 305, 3101, 68, 417, 322, 325, 330, 334, 1874, 677, 3101, 588, 19, 204, 305, 5251, 68, 2873, 322, 339, 330, 334, 1874, 677, 5251, 1324, 19, 204, 268, 320, 204, 268, 370, 19, 5022, 68, 417, 289, 3101, 68, 417, 204, 268, 370, 19, 8521, 68, 2873, 289, 5251, 68, 2873, 204, 204, 264, 436, 2037, 68, 1270, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10616, 275, 1874, 677, 1483, 17, 2864, 1017, 588, 329, 2523, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 790, 68, 2873, 289, 1489, 19, 10388, 1528, 2873, 204, 268, 2523, 289, 790, 68, 2873, 338, 370, 19, 8521, 68, 2873, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 5022, 68, 417, 1522, 13995, 31, 463, 438, 743, 204, 204, 264, 436, 949, 68, 438, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1874, 677, 2523, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1874, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 790, 68, 2873, 289, 1489, 19, 10388, 1528, 2873, 204, 268, 407, 790, 68, 2873, 338, 370, 19, 8521, 68, 2873, 204, 204, 204, 676, 11262, 13, 11926, 330, 204, 264, 320, 204, 264, 2646, 437, 4703, 440, 273, 588, 17, 2523, 17, 329, 4703, 1222, 19, 204, 204, 264, 1532, 31, 204, 268, 4703, 68, 359, 322, 325, 330, 334, 4703, 677, 1222, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3101, 68, 417, 31, 394, 17, 5251, 68, 2873, 31, 421, 17, 4703, 68, 359, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 11262, 726, 19, 204, 204, 268, 457, 31, 204, 305, 3101, 68, 417, 322, 325, 330, 334, 4703, 677, 3101, 588, 19, 204, 305, 5251, 68, 2873, 322, 339, 330, 334, 4703, 677, 5251, 1324, 19, 204, 305, 4703, 68, 359, 322, 325, 330, 334, 4703, 677, 1222, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 5022, 68, 417, 17, 5251, 68, 2873, 14, 204, 268, 370, 19, 8804, 68, 359, 289, 4703, 68, 359, 204, 204, 264, 436, 456, 68, 8804, 68, 1270, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 4703, 677, 1483, 17, 2864, 1017, 588, 17, 2523, 17, 329, 1222, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4703, 677, 2523, 1609, 523, 1017, 5251, 1324, 204, 268, 2523, 289, 370, 19, 3446, 68, 438, 374, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 327, 19, 5022, 68, 417, 1522, 13995, 31, 463, 438, 1522, 11262, 1222, 31, 463, 327, 19, 8804, 68, 359, 743, 204, 204, 204, 676, 12199, 31, 204, 264, 320, 204, 264, 2646, 273, 6506, 440, 2986, 311, 881, 886, 19, 204, 264, 320, 204, 204, 264, 1642, 4460, 204, 264, 436, 881, 68, 1630, 7680, 1630, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 5276, 275, 1917, 886, 19, 204, 204, 268, 457, 31, 204, 305, 930, 1630, 322, 339, 330, 14839, 1906, 440, 1534, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1066, 302, 275, 1917, 886, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1066, 311, 500, 204, 268, 1113, 289, 500, 204, 268, 314, 1861, 1048, 275, 1917, 886, 329, 881, 1475, 311, 275, 1066, 204, 268, 348, 700, 292, 886, 19, 1309, 1293, 204, 305, 1113, 1412, 700, 204, 268, 407, 1113, 204, 204, 204, 461, 456, 68, 16532, 13, 16532, 31, 458, 64, 16928, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 458, 302, 4703, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 9700, 322, 655, 64, 16928, 1037, 332, 458, 302, 11262, 2828, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 9700, 329, 456, 1017, 1483, 204, 264, 348, 4703, 292, 9700, 31, 204, 268, 4703, 19, 2102, 68, 8804, 68, 1270, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 458, 302, 11262, 2828, 204, 264, 9700, 289, 551, 204, 268, 11262, 499, 49, 934, 10628, 43158, 528, 14667, 17, 388, 42, 7585, 3186, 204, 268, 11262, 499, 48, 45325, 43158, 528, 21078, 17, 388, 42, 22252, 3186, 204, 268, 11262, 499, 51, 4600, 43158, 528, 18663, 17, 388, 42, 28145, 431, 204, 264, 2437, 204, 204, 264, 314, 1198, 275, 4703, 1483, 204, 264, 456, 499, 16928, 10455, 2212, 204, 264, 456, 68, 16532, 13, 16532, 14, 204, 204, 264, 314, 666, 273, 6909, 726, 204, 264, 1874, 289, 6909, 499, 6192, 7358, 528, 14667, 14, 204, 204, 264, 314, 3740, 275, 1874, 677, 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, 1483, 204, 264, 456, 3273, 83, 11926, 10455, 2212, 204, 264, 1874, 19, 2994, 68, 1270, 374, 204, 204, 264, 314, 888, 275, 1874, 677, 2523, 204, 264, 2523, 289, 1874, 19, 3446, 68, 438, 374, 204, 264, 456, 13, 75, 7, 14167, 31, 463, 438, 743, 204, 204, 264, 314, 1255, 886, 974, 275, 12199, 850, 204, 264, 456, 3273, 83, 11287, 2212, 204, 264, 722, 289, 12199, 19, 826, 68, 1630, 13, 70, 34, 1003, 17, 308, 34, 1036, 17, 279, 34, 2188, 14, 204, 264, 456, 13, 75, 7, 7279, 31, 463, 1300, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 4377, 275, 741, 283, 13, 83, 14, 440, 2824, 1019, 31, 204, 204, 75, 13, 22, 14, 289, 463, 368, 7133, 571, 7133, 887, 1211, 204, 75, 13, 23, 14, 289, 463, 368, 7133, 720, 7133, 2958, 1211, 204, 75, 13, 24, 14, 289, 463, 435, 7133, 681, 7133, 887, 7133, 1132, 7133, 931, 1211, 204, 75, 13, 25, 14, 289, 463, 681, 7133, 720, 7133, 887, 7133, 1168, 7133, 1132, 1211, 204, 75, 13, 83, 14, 289, 392, 348, 300, 1323, 681, 204, 204, 2310, 1519, 311, 1020, 275, 758, 387, 289, 463, 300, 1152, 300, 12351, 74, 283, 13, 83, 14, 4752, 928, 3210, 275, 758, 302, 830, 886, 300, 1702, 496, 300, 353, 508, 437, 1103, 302, 283, 13, 83, 789, 204, 204, 1449, 1020, 387, 17, 572, 618, 1356, 848, 700, 302, 300, 31, 204, 204, 18, 4208, 368, 292, 283, 13, 22, 14369, 1358, 2214, 17, 754, 368, 353, 508, 292, 387, 19, 204, 18, 4208, 435, 292, 283, 13, 23, 14369, 12600, 17, 754, 435, 353, 292, 387, 19, 204, 18, 4208, 571, 292, 283, 13, 24, 14369, 12600, 17, 754, 571, 353, 292, 387, 19, 204, 18, 4208, 681, 292, 283, 13, 25, 14369, 1358, 2214, 17, 754, 681, 353, 508, 292, 387, 19, 204, 18, 1765, 300, 1323, 681, 17, 283, 13, 83, 14, 289, 392, 17, 928, 3210, 830, 886, 300, 1323, 681, 529, 292, 283, 13, 83, 659, 754, 1250, 529, 508, 292, 387, 19, 204, 204, 4356, 17, 275, 758, 387, 289, 463, 435, 7133, 571, 1211, 19, 0, 25, 2903, 26, 33733, 408, 1572, 2704, 2857, 3004, 8709, 38983, 2774, 17862, 26826, 3012, 41339, 1456, 568, 11423, 11962, 47183, 1111, 11225, 47947, 35107, 14510, 13376, 3235, 408, 18218, 47128, 1111, 14510, 27156, 9358, 23670, 10092, 19572, 17367, 2338, 17552, 15733, 2615, 408, 18218, 47128, 1111, 10654, 43904, 460, 11736, 3235, 408, 33213, 6122, 14510, 48148, 2891, 2299, 16302, 15615, 408, 5718, 1970, 14510, 48148, 4660, 725, 22119, 3151, 4034, 6510, 725, 12235, 4139, 22119, 1955, 6949, 16566, 16937, 460, 19765, 408, 31475, 4660, 15184, 1227, 11516, 408, 11148, 6366, 8461, 408, 10922, 1748, 10092, 1111, 14510, 3235, 15159, 568, 5718, 11605, 5335, 5949, 5659, 1984, 23179, 16338, 17427, 14510, 13376, 2065, 6463, 6142, 35558, 568, 7869, 12554, 408, 22424, 3235, 2494, 2433, 2499, 2774, 3429, 23324, 3590, 16338, 23412, 13376, 568, 24076, 24288, 39151, 5626, 3768, 568, 4525, 9228, 21266, 1251, 7763, 12836, 725, 38266, 1955, 6364, 408, 21204, 11058, 3064, 8128, 725, 12235, 725, 3903, 9826, 725, 14668, 725, 9934, 34387, 18925, 28333, 5626, 23933, 7118, 5452, 725, 7118, 23156, 408, 7533, 6233, 1740, 9817, 9903, 408, 10464, 13353, 20277, 2274, 18305, 14510, 48148, 568, 31736, 15035, 2094, 10464, 32015, 14510, 36830, 2615, 568, 16937, 29206, 16392, 3235, 6564, 41740, 14965, 725, 15234, 2730, 19563, 725, 3235, 7869, 725, 37721, 10378, 408, 35090, 6385, 14510, 26826, 18896, 36830, 2615, 408, 20587, 1689, 12554, 725, 29136, 12397, 10968, 18014, 568, 5335, 854, 11808, 21266, 5928, 2338, 34440, 568, 32684, 11808, 21266, 5928, 408, 24288, 921, 8145, 3875, 2338, 31269, 22660, 1191, 29206, 34440, 408, 10366, 49098, 23559, 1822, 725, 8215, 3476, 12397, 10968, 26826, 3012, 20861, 568, 6245, 854, 1748, 10092, 3235, 15159, 568, 1871, 3012, 11058, 13191, 11520, 408, 14487, 11058, 12397, 10968, 16262, 28002, 2148, 408, 35643, 2014, 3012, 1367, 3500, 14510, 5452, 3012, 20302, 3104, 115, 733, 261, 6810, 2653, 204, 0, 461, 838, 68, 1190, 68, 873, 13, 83, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2605, 273, 955, 1273, 275, 3583, 529, 886, 497, 368, 311, 300, 329, 275, 1019, 529, 275, 2415, 302, 275, 3583, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 3482, 2689, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 440, 886, 448, 3583, 329, 1017, 5537, 448, 1019, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 974, 955, 6459, 204, 264, 314, 9076, 31, 334, 2171, 1576, 2080, 610, 930, 610, 928, 353, 508, 275, 2415, 302, 275, 542, 17, 716, 264, 314, 8023, 490, 677, 275, 542, 7514, 311, 275, 2347, 302, 5398, 19, 716, 264, 314, 8023, 382, 9314, 7716, 490, 311, 610, 930, 435, 311, 636, 275, 2415, 302, 275, 542, 19, 204, 264, 542, 68, 873, 289, 463, 93, 31, 610, 930, 435, 348, 610, 292, 933, 13, 22, 17, 300, 465, 368, 4150, 204, 264, 407, 542, 68, 873, 204, 204, 204, 461, 636, 68, 6418, 68, 4649, 68, 531, 68, 816, 13, 4202, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3596, 273, 2140, 1534, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 332, 2140, 1534, 6027, 560, 275, 575, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 542, 289, 421, 13, 768, 13, 4202, 602, 204, 305, 397, 542, 2186, 500, 31, 204, 485, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 305, 902, 31, 204, 485, 407, 542, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 437, 1534, 1280, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 537, 497, 275, 575, 204, 264, 542, 289, 636, 68, 6418, 68, 4649, 68, 531, 68, 816, 499, 2101, 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, 542, 31, 2810, 204, 204, 264, 314, 666, 329, 456, 275, 955, 204, 264, 542, 68, 873, 289, 838, 68, 1190, 68, 873, 13, 1190, 14, 204, 264, 456, 499, 17680, 33136, 542, 68, 873, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 204, 461, 5327, 68, 2819, 68, 3282, 13, 204, 264, 1104, 68, 2693, 31, 394, 289, 379, 5835, 19, 1479, 19, 15260, 19, 24871, 68, 27288, 23, 491, 204, 264, 1104, 68, 417, 31, 394, 289, 379, 603, 19744, 748, 491, 204, 264, 1104, 68, 816, 31, 394, 289, 379, 4159, 491, 204, 264, 1104, 68, 1989, 31, 394, 289, 443, 17, 204, 264, 1104, 68, 2463, 31, 394, 289, 8488, 204, 264, 1104, 68, 898, 31, 394, 289, 8488, 204, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 16927, 275, 1104, 2557, 348, 273, 5959, 2002, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 68, 2693, 322, 325, 330, 334, 1104, 3798, 311, 732, 322, 74, 19, 76, 2458, 379, 5835, 19, 1479, 19, 15260, 19, 24871, 68, 27288, 23, 3930, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 1104, 68, 816, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 1989, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 2463, 322, 325, 330, 334, 2442, 311, 732, 348, 275, 1104, 1727, 19, 204, 264, 338, 1104, 68, 898, 322, 325, 330, 334, 2054, 311, 732, 348, 275, 1104, 1727, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1135, 31, 332, 955, 1174, 275, 12770, 1104, 2557, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1104, 1482, 497, 275, 1964, 1554, 379, 3349, 68, 9778, 12, 397, 2755, 204, 264, 397, 1104, 68, 1989, 353, 443, 31, 204, 268, 1104, 68, 1989, 289, 1127, 19, 4969, 19, 505, 611, 3349, 68, 9778, 491, 379, 53, 4629, 4326, 534, 204, 204, 264, 314, 6153, 275, 1104, 2557, 204, 264, 1104, 68, 3282, 289, 463, 204, 268, 379, 2305, 597, 463, 204, 305, 314, 5496, 3798, 204, 305, 379, 30420, 597, 1104, 68, 2693, 17, 204, 305, 314, 5496, 588, 204, 305, 379, 3344, 597, 1104, 68, 417, 17, 204, 305, 314, 5496, 575, 204, 305, 379, 6520, 597, 1104, 68, 816, 17, 204, 305, 314, 5496, 1482, 204, 305, 379, 9778, 597, 1104, 68, 1989, 17, 204, 305, 314, 5496, 2442, 204, 305, 379, 8737, 597, 1104, 68, 2463, 17, 204, 305, 314, 5496, 2054, 204, 305, 379, 7660, 597, 1104, 68, 898, 17, 204, 268, 1211, 204, 264, 1211, 204, 204, 264, 407, 1104, 68, 3282, 204, 204, 461, 5327, 68, 4561, 68, 3607, 13, 4561, 31, 1109, 289, 959, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 16927, 275, 5344, 2291, 348, 273, 5959, 2002, 19, 204, 204, 264, 457, 31, 204, 264, 338, 5344, 322, 2107, 330, 332, 8051, 5850, 3855, 5344, 2291, 1856, 444, 8905, 19, 204, 204, 264, 475, 31, 204, 264, 338, 1109, 31, 334, 12770, 5344, 2291, 19, 204, 264, 320, 204, 264, 407, 5344, 204, 204, 461, 667, 1293, 204, 264, 314, 6153, 275, 1104, 2557, 204, 264, 1104, 68, 3282, 289, 5327, 68, 2819, 68, 3282, 374, 204, 204, 264, 314, 6153, 275, 5344, 2291, 204, 264, 5344, 68, 3607, 289, 5327, 68, 4561, 68, 3607, 374, 204, 204, 264, 314, 1198, 275, 12770, 2557, 204, 264, 456, 499, 7073, 15680, 2212, 204, 264, 456, 13, 2819, 68, 3282, 14, 204, 264, 456, 3273, 83, 31301, 18054, 2212, 204, 264, 456, 13, 4561, 68, 3607, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 39381, 31, 12775, 329, 12748, 17275, 14309, 204, 204, 45886, 6369, 8314, 273, 388, 1819, 311, 1085, 7, 3633, 17, 16379, 6249, 329, 16772, 8314, 273, 388, 1819, 311, 4835, 7, 3633, 19, 2416, 2616, 3726, 3490, 17, 490, 677, 14359, 311, 732, 273, 388, 6534, 2871, 7, 311, 34009, 4204, 275, 12134, 19, 204, 204, 1380, 24419, 1434, 273, 17275, 14851, 204, 204, 3070, 1763, 17, 800, 275, 3726, 302, 4757, 311, 4598, 292, 273, 850, 353, 571, 31, 23, 17, 572, 618, 758, 719, 273, 3726, 2871, 448, 6353, 31, 204, 204, 97, 18598, 1152, 16156, 1152, 7867, 1152, 17275, 1152, 204, 97, 4492, 1152, 4492, 1152, 4492, 1152, 4492, 1152, 204, 97, 571, 262, 1152, 435, 262, 1152, 720, 262, 1152, 571, 31, 23, 226, 1152, 204, 204, 1834, 2871, 6876, 451, 311, 8235, 2073, 3888, 1702, 448, 31, 204, 204, 15, 2935, 4628, 302, 275, 2459, 529, 4757, 36, 322, 24, 20, 26, 14, 204, 15, 2935, 2847, 302, 275, 2459, 529, 4598, 36, 322, 2169, 15408, 204, 15, 2935, 353, 275, 2634, 302, 16080, 273, 1064, 36, 322, 24, 20, 26, 14, 204, 204, 1380, 12748, 273, 501, 10196, 5434, 85, 5248, 204, 204, 3661, 677, 2506, 275, 2631, 1844, 31, 204, 204, 7, 673, 542, 302, 28386, 496, 1144, 533, 74, 329, 2439, 3554, 633, 2080, 1466, 292, 275, 3726, 720, 31, 24, 17, 8866, 19, 6917, 1144, 533, 74, 11278, 2439, 3554, 633, 931, 302, 2830, 28386, 17, 275, 3726, 302, 275, 542, 1144, 533, 74, 2080, 311, 275, 542, 2439, 3554, 633, 2080, 867, 1168, 31, 26, 19, 3242, 273, 722, 302, 808, 14520, 17, 1144, 533, 74, 2080, 1662, 1910, 1182, 28386, 1194, 2439, 3554, 633, 14581, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 444, 16957, 329, 16398, 19, 5486, 677, 1012, 560, 19028, 2075, 572, 3480, 311, 1020, 31, 1144, 533, 74, 677, 717, 542, 302, 28386, 13576, 2439, 3554, 633, 677, 717, 542, 302, 28386, 322, 48, 83, 338, 1346, 789, 204, 204, 2310, 618, 758, 719, 3779, 1609, 523, 275, 800, 12134, 329, 2616, 348, 275, 38206, 19, 204, 204, 3661, 677, 4627, 1144, 533, 74, 15975, 2080, 720, 93, 28386, 329, 2439, 3554, 633, 2080, 571, 93, 28386, 19, 6917, 1144, 533, 74, 11278, 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, 2439, 3554, 633, 931, 28386, 17, 1144, 533, 74, 2080, 720, 93, 338, 931, 28386, 329, 2439, 3554, 633, 2080, 571, 93, 465, 931, 28386, 19, 204, 204, 673, 717, 3726, 302, 1144, 533, 74, 677, 28386, 311, 2439, 3554, 633, 677, 28386, 353, 1168, 31, 26, 17, 754, 572, 618, 758, 719, 275, 1581, 31, 204, 204, 13, 26, 93, 338, 931, 14, 802, 322, 24, 93, 465, 931, 14, 289, 1168, 20, 26, 204, 204, 13766, 18, 40833, 329, 8565, 348, 610, 17, 572, 636, 31, 204, 204, 26, 13, 26, 93, 338, 931, 14, 289, 1168, 13, 24, 93, 465, 931, 14, 204, 1511, 93, 338, 2753, 289, 4839, 93, 465, 6787, 204, 25, 93, 289, 7219, 204, 93, 289, 2468, 204, 204, 4063, 572, 618, 1020, 1144, 533, 74, 677, 717, 542, 302, 28386, 329, 2439, 3554, 633, 677, 717, 542, 302, 28386, 31, 204, 204, 48, 533, 74, 677, 717, 28386, 31, 720, 93, 338, 931, 289, 720, 13, 2188, 14, 338, 931, 289, 7669, 338, 931, 289, 15274, 204, 3027, 3554, 633, 677, 717, 28386, 31, 571, 93, 465, 931, 289, 571, 13, 2188, 14, 465, 931, 289, 4950, 465, 931, 289, 1607, 204, 204, 18226, 17, 572, 618, 1020, 275, 2712, 1283, 1144, 533, 74, 677, 717, 542, 302, 28386, 329, 2439, 3554, 633, 677, 717, 542, 302, 28386, 31, 204, 204, 48, 83, 338, 1346, 289, 15274, 338, 1607, 289, 2846, 204, 204, 4356, 17, 1144, 533, 74, 2080, 2846, 1182, 28386, 1194, 2439, 3554, 633, 1877, 275, 14520, 19, 204, 204, 1380, 5565, 311, 5565, 329, 5565, 311, 30036, 39381, 204, 204, 45886, 6369, 618, 1425, 444, 1376, 311, 2616, 3490, 11939, 1085, 311, 4835, 8160, 19, 1765, 1763, 17, 800, 273, 7995, 348, 38870, 496, 7987, 348, 681, 3576, 3761, 89, 7144, 311, 1051, 1085, 19354, 17, 572, 618, 732, 12134, 311, 1020, 275, 1690, 302, 19354, 4331, 311, 1895, 720, 15861, 302, 38870, 19, 204, 204, 3661, 677, 4627, 275, 1113, 1690, 302, 38870, 353, 720, 15861, 17, 329, 572, 3480, 311, 1020, 275, 1690, 302, 19354, 4331, 19, 1785, 618, 758, 719, 273, 3726, 2871, 448, 6353, 31, 204, 204, 97, 10431, 89, 7144, 1152, 32949, 623, 1152, 7867, 1152, 204, 97, 4492, 1152, 4492, 1152, 4492, 1152, 204, 97, 681, 262, 1152, 368, 262, 1152, 720, 262, 1152, 204, 204, 4592, 275, 1113, 1690, 302, 38870, 353, 720, 15861, 17, 572, 618, 3948, 719, 275, 3726, 311, 1020, 275, 1690, 302, 19354, 4331, 31, 204, 204, 22, 23049, 289, 7569, 16594, 17, 754, 720, 15861, 289, 720, 610, 7569, 289, 27123, 16594, 204, 204, 2310, 618, 758, 719, 273, 5945, 311, 1020, 275, 1690, 302, 19354, 4331, 31, 204, 204, 22, 20, 26, 289, 610, 20, 24983, 204, 93, 289, 7569, 16594, 204, 204, 4592, 572, 3480, 311, 1020, 275, 542, 302, 1132, 18, 84, 9532, 30918, 302, 19354, 4331, 17, 572, 618, 3281, 275, 1113, 1690, 302, 19354, 4331, 560, 1132, 31, 204, 204, 7489, 16594, 802, 1132, 16594, 20, 4453, 289, 2247, 30918, 204, 204, 4356, 17, 6901, 5252, 2247, 30918, 302, 19354, 311, 1895, 720, 15861, 302, 38870, 19, 0, 647, 2010, 448, 645, 204, 204, 8, 968, 3324, 1019, 204, 6433, 68, 22182, 289, 379, 40, 30495, 12, 204, 6433, 68, 47336, 289, 1233, 7992, 204, 6433, 68, 7043, 68, 5200, 289, 368, 9952, 204, 6433, 68, 16423, 68, 47619, 289, 379, 41, 12, 204, 6433, 68, 11595, 61, 6906, 289, 720, 19, 26, 204, 204, 461, 1137, 68, 2305, 68, 417, 655, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1540, 588, 655, 19, 22865, 1856, 9749, 329, 10393, 808, 348, 273, 2707, 1523, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 1540, 588, 655, 19, 204, 264, 320, 204, 615, 264, 314, 968, 275, 1540, 588, 655, 204, 264, 588, 655, 289, 463, 204, 268, 379, 3075, 597, 8719, 68, 22182, 17, 204, 268, 379, 21534, 597, 8719, 68, 47336, 17, 204, 268, 379, 834, 597, 8719, 68, 7043, 68, 5200, 17, 226, 314, 292, 16169, 17, 348, 13471, 204, 268, 379, 8424, 597, 379, 19281, 491, 204, 822, 268, 314, 28337, 2072, 204, 268, 379, 9409, 597, 463, 204, 305, 379, 660, 68, 1849, 597, 8719, 68, 16423, 68, 47619, 17, 204, 305, 379, 39, 3399, 597, 8719, 68, 11595, 61, 6906, 17, 204, 268, 4752, 204, 822, 268, 314, 7739, 8364, 2139, 2072, 204, 268, 379, 4041, 8364, 68, 3112, 597, 463, 204, 305, 379, 10906, 597, 443, 17, 226, 314, 1308, 435, 41, 1348, 523, 13714, 68, 3112, 68, 834, 329, 13714, 68, 3112, 68, 23152, 760, 28080, 204, 305, 379, 834, 597, 443, 17, 716, 305, 379, 23152, 760, 597, 443, 17, 204, 268, 4752, 204, 822, 268, 314, 5898, 2914, 311, 16549, 2139, 204, 268, 379, 3112, 68, 4018, 597, 463, 204, 305, 379, 2435, 68, 266, 597, 500, 19, 21, 17, 226, 314, 9662, 18216, 1613, 10321, 497, 5999, 8042, 397, 27935, 1855, 289, 500, 204, 305, 379, 2435, 68, 607, 597, 500, 19, 21, 17, 615, 305, 379, 2507, 68, 74, 59, 597, 571, 19, 21, 17, 226, 314, 1698, 4331, 397, 2139, 68, 2435, 68, 266, 34, 3112, 68, 2435, 68, 607, 34, 21, 19, 21, 204, 305, 379, 4202, 68, 272, 10636, 68, 8530, 597, 1078, 17, 204, 305, 379, 30709, 21, 597, 368, 74, 16, 3699, 17, 204, 305, 379, 3112, 68, 932, 597, 379, 5491, 491, 716, 305, 379, 3112, 68, 553, 597, 443, 17, 226, 314, 1945, 397, 2139, 68, 932, 833, 553, 12, 204, 305, 379, 3112, 68, 3912, 68, 607, 68, 24767, 6340, 597, 368, 19, 21, 17, 226, 314, 2139, 1759, 292, 3179, 497, 48468, 8117, 204, 268, 4752, 204, 822, 268, 314, 480, 7003, 17941, 570, 17, 1698, 1376, 397, 2139, 68, 932, 833, 13041, 427, 68, 49, 7003, 12, 204, 268, 379, 49, 7003, 597, 463, 204, 305, 379, 83, 68, 16745, 597, 368, 74, 16, 2132, 17, 204, 305, 379, 89, 68, 10561, 597, 368, 19, 9769, 17, 204, 305, 379, 89, 68, 14345, 597, 500, 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, 36928, 17, 204, 305, 379, 89, 68, 1530, 597, 500, 19, 21, 204, 268, 4752, 204, 822, 268, 314, 313, 12524, 2072, 204, 268, 379, 35659, 597, 463, 204, 305, 379, 5144, 68, 21576, 597, 645, 19, 643, 1568, 22, 19, 19480, 17, 368, 19, 5060, 204, 305, 379, 5144, 68, 1530, 597, 645, 19, 643, 1568, 22, 74, 18, 26, 17, 500, 19, 7585, 5060, 204, 305, 379, 4593, 68, 558, 68, 10057, 597, 645, 19, 643, 1568, 22, 17, 368, 5060, 204, 305, 379, 2760, 597, 645, 19, 643, 1568, 21, 2458, 500, 19, 22, 694, 204, 268, 4752, 204, 822, 268, 314, 10612, 464, 2333, 2072, 204, 268, 379, 42993, 68, 2700, 597, 463, 204, 305, 379, 48, 597, 887, 19, 21, 17, 204, 305, 379, 3499, 68, 16228, 597, 435, 19, 21, 17, 204, 305, 379, 836, 278, 68, 511, 1039, 276, 597, 3139, 19, 21, 17, 204, 305, 379, 836, 278, 68, 8304, 597, 500, 19, 26, 17, 204, 305, 379, 7885, 68, 21, 597, 500, 19, 24, 17, 204, 305, 379, 7885, 68, 22, 597, 500, 19, 4779, 17, 204, 305, 379, 4169, 68, 16228, 597, 368, 19, 21, 17, 204, 305, 379, 26052, 68, 11560, 597, 500, 19, 4779, 17, 716, 268, 4752, 204, 822, 268, 314, 387, 2070, 570, 2072, 204, 268, 379, 88, 2070, 68, 809, 597, 463, 204, 305, 379, 88, 2070, 68, 8530, 597, 1078, 17, 204, 305, 379, 5001, 1077, 597, 3861, 19, 21, 17, 204, 305, 379, 2760, 597, 551, 22, 19, 21, 17, 648, 716, 305, 379, 88, 2070, 633, 3570, 68, 270, 6586, 68, 2435, 597, 368, 19, 21, 204, 268, 4752, 204, 822, 268, 314, 18022, 20, 272, 21385, 2072, 204, 268, 379, 5242, 68, 272, 21385, 597, 463, 204, 305, 379, 272, 21385, 68, 8530, 597, 1078, 17, 204, 305, 379, 10911, 68, 272, 21385, 597, 500, 19, 21, 17, 716, 305, 379, 2952, 71, 3391, 597, 500, 19, 21, 17, 204, 305, 379, 14381, 68, 2952, 68, 26052, 68, 1015, 597, 2753, 19, 21, 17, 226, 314, 16169, 204, 305, 379, 14381, 68, 34763, 68, 1015, 597, 5106, 19, 21, 17, 226, 314, 16169, 204, 305, 379, 14381, 68, 87, 836, 68, 2383, 68, 1015, 597, 2753, 19, 21, 17, 262, 314, 16169, 204, 305, 379, 26052, 68, 13384, 597, 500, 19, 22, 17, 204, 268, 4752, 204, 822, 268, 314, 41904, 14490, 2072, 204, 268, 379, 80, 10055, 68, 16160, 597, 463, 204, 305, 379, 5670, 68, 14092, 68, 664, 6340, 597, 959, 17, 204, 305, 379, 14092, 68, 664, 6340, 597, 463, 204, 485, 379, 656, 597, 2552, 21241, 597, 379, 1931, 671, 491, 379, 2760, 597, 551, 22, 19, 15745, 716, 485, 379, 5939, 597, 2552, 21241, 597, 379, 28933, 491, 379, 2760, 597, 551, 22, 39016, 379, 11560, 597, 551, 22, 19, 15745, 204, 485, 379, 43067, 597, 2552, 21241, 597, 379, 28933, 491, 379, 2760, 597, 551, 22, 39016, 379, 11560, 597, 551, 22, 19, 15745, 204, 485, 379, 83, 21, 597, 2552, 21241, 597, 379, 1931, 671, 491, 379, 2760, 597, 551, 22, 19, 7916, 204, 305, 1211, 204, 268, 4752, 204, 822, 268, 314, 472, 25008, 204, 268, 379, 11241, 597, 463, 204, 305, 379, 22178, 87, 68, 8530, 597, 1078, 17, 204, 305, 379, 83, 7803, 68, 22178, 87, 68, 8530, 597, 1078, 17, 204, 305, 379, 85, 9391, 68, 8530, 597, 1078, 17, 204, 305, 379, 39037, 68, 22178, 68, 9391, 68, 8530, 597, 1078, 17, 204, 305, 379, 28287, 68, 4927, 82, 68, 8530, 597, 1078, 17, 204, 305, 379, 88, 31829, 68, 8530, 597, 1078, 17, 204, 305, 379, 660, 68, 288, 68, 4927, 82, 68, 8530, 597, 1078, 17, 204, 268, 1211, 204, 264, 1211, 204, 615, 264, 407, 588, 655, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 588, 655, 289, 1137, 68, 2305, 68, 417, 655, 374, 204, 264, 456, 13, 417, 655, 14, 204, 0, 8, 1907, 68, 804, 1274, 6408, 204, 204, 531, 1907, 19, 4823, 532, 3051, 204, 531, 1907, 19, 3968, 532, 832, 17, 2255, 204, 204, 8, 4390, 5020, 497, 1792, 9428, 204, 531, 7911, 532, 5020, 448, 7911, 68, 4280, 204, 531, 30096, 68, 15564, 532, 5020, 448, 30096, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2924, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2002, 68, 4280, 204, 531, 7911, 19, 4280, 532, 2413, 68, 4280, 204, 204, 461, 636, 68, 805, 68, 4918, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 1274, 3758, 348, 275, 5959, 1650, 19, 204, 204, 264, 1164, 3309, 31, 332, 458, 302, 1274, 3758, 19, 204, 264, 320, 204, 264, 314, 968, 1274, 3758, 204, 264, 1779, 68, 4918, 289, 551, 204, 268, 314, 9657, 1274, 204, 268, 832, 611, 4159, 4750, 3051, 19, 3350, 19, 3968, 659, 204, 204, 268, 314, 8196, 329, 5888, 5448, 204, 268, 832, 14945, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 268, 832, 611, 998, 4750, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 268, 832, 611, 23309, 4750, 2924, 68, 4280, 19, 23309, 17, 588, 833, 3424, 68, 23309, 2008, 204, 268, 832, 611, 607, 4750, 2924, 68, 4280, 19, 3424, 68, 607, 17, 588, 833, 3424, 68, 607, 2008, 204, 268, 832, 611, 10764, 20, 3424, 4750, 2924, 68, 4280, 19, 998, 17, 588, 833, 3424, 68, 998, 2008, 204, 204, 268, 314, 6761, 6294, 5448, 204, 268, 832, 499, 3396, 13669, 2002, 68, 4280, 19, 3396, 68, 23309, 17, 588, 833, 3396, 68, 23309, 2008, 204, 268, 832, 499, 3396, 20, 826, 68, 3396, 13669, 2002, 68, 4280, 19, 826, 68, 3396, 17, 588, 833, 826, 68, 3396, 2008, 204, 268, 832, 499, 3396, 20, 7451, 68, 3396, 13669, 2002, 68, 4280, 19, 7451, 68, 3396, 17, 588, 833, 7451, 68, 3396, 2008, 204, 268, 832, 499, 3396, 20, 2756, 68, 3396, 13669, 2002, 68, 4280, 19, 2756, 68, 3396, 17, 588, 833, 2756, 68, 3396, 2008, 204, 204, 268, 314, 15065, 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, 6294, 5448, 204, 268, 832, 499, 3909, 13669, 2413, 68, 4280, 19, 3909, 68, 23309, 17, 588, 833, 3909, 68, 23309, 2008, 204, 204, 268, 314, 871, 56, 9412, 5448, 204, 268, 832, 499, 11092, 13669, 30096, 68, 4280, 19, 998, 17, 588, 833, 11092, 68, 998, 2008, 204, 268, 832, 499, 11092, 68, 25404, 16200, 13669, 30096, 68, 4280, 19, 25404, 16200, 17, 588, 833, 11092, 68, 25404, 16200, 2008, 204, 264, 2437, 204, 204, 264, 407, 1779, 68, 4918, 204, 204, 8, 763, 1274, 3758, 204, 11326, 289, 636, 68, 805, 68, 4918, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 13940, 29187, 11287, 31, 204, 264, 320, 204, 264, 3989, 275, 8089, 302, 437, 11918, 292, 273, 800, 435, 41, 2333, 19, 204, 264, 320, 204, 204, 264, 436, 949, 68, 17563, 13, 327, 17, 11918, 68, 1608, 31, 783, 64, 1218, 64, 339, 4097, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 8089, 302, 275, 11918, 292, 275, 800, 435, 41, 2333, 19, 204, 204, 268, 457, 31, 204, 268, 11918, 68, 1608, 322, 1218, 64, 1218, 64, 339, 3795, 334, 435, 41, 2333, 2457, 275, 11918, 2304, 19, 204, 305, 500, 4504, 2263, 329, 368, 4504, 3623, 19, 204, 204, 268, 475, 31, 204, 268, 421, 31, 334, 8089, 302, 275, 11918, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 2333, 353, 1392, 204, 268, 397, 508, 11918, 68, 1608, 31, 204, 305, 407, 500, 204, 204, 268, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 268, 771, 68, 3173, 17, 771, 68, 6103, 289, 1245, 13, 38656, 68, 1608, 659, 1245, 13, 38656, 68, 1608, 64, 21, 694, 204, 204, 268, 314, 977, 275, 8089, 204, 268, 8089, 289, 500, 204, 204, 268, 314, 1861, 1048, 848, 2092, 292, 275, 2333, 204, 268, 348, 1237, 292, 933, 13, 920, 68, 3173, 330, 204, 305, 348, 734, 292, 933, 13, 920, 68, 6103, 330, 204, 485, 314, 778, 397, 275, 790, 2092, 353, 273, 3623, 2092, 204, 485, 397, 11918, 68, 1608, 64, 937, 1799, 982, 66, 564, 368, 31, 204, 895, 314, 778, 275, 13518, 4207, 204, 895, 348, 4180, 17, 21255, 292, 29114, 22, 17, 500, 659, 322, 22, 17, 500, 659, 322, 21, 17, 338, 22, 659, 322, 21, 17, 368, 31902, 204, 2058, 31896, 17, 23125, 289, 1237, 465, 4180, 17, 734, 465, 21255, 204, 2058, 314, 778, 397, 275, 13518, 2092, 353, 685, 302, 7119, 521, 353, 273, 2263, 2092, 204, 2058, 397, 31896, 962, 500, 521, 23125, 962, 500, 521, 31896, 3721, 771, 68, 3173, 521, 23125, 3721, 771, 68, 6103, 521, 11918, 68, 1608, 64, 16601, 1799, 13388, 66, 564, 500, 31, 204, 4511, 314, 7415, 275, 8089, 204, 4511, 8089, 1412, 368, 204, 204, 268, 407, 8089, 204, 204, 8, 1165, 1265, 31, 204, 11752, 289, 13940, 29187, 11287, 374, 204, 38656, 68, 1608, 289, 5787, 21, 17, 368, 17, 500, 17, 500, 648, 551, 22, 17, 368, 17, 368, 17, 500, 648, 551, 21, 17, 368, 17, 500, 17, 500, 648, 551, 22, 17, 368, 17, 500, 17, 500, 2629, 204, 2102, 13, 11752, 19, 3446, 68, 17563, 13, 38656, 68, 1608, 602, 204, 0, 24658, 45682, 2148, 13592, 22926, 9125, 2774, 22138, 21334, 3608, 4250, 21196, 11082, 2065, 4664, 408, 22138, 21334, 12395, 3608, 4250, 23343, 4660, 568, 2774, 4664, 10378, 12179, 408, 11485, 31662, 4152, 7292, 3361, 2564, 408, 8830, 14447, 8028, 9938, 831, 988, 256, 408, 12067, 9138, 6653, 12554, 1926, 6472, 2675, 3476, 3654, 1946, 23323, 1227, 45699, 30287, 19119, 568, 204, 24658, 45682, 2148, 13592, 22926, 9125, 4664, 6638, 2831, 4262, 47193, 4838, 22, 4330, 48426, 408, 45112, 11058, 2682, 9396, 1116, 568, 2774, 9813, 13763, 4664, 35007, 5259, 408, 3875, 15501, 1843, 725, 34899, 23718, 4402, 15501, 2338, 48675, 38608, 39622, 5259, 32511, 15234, 19864, 14447, 1227, 36135, 7869, 11568, 408, 27757, 31600, 3708, 3411, 2815, 1689, 725, 6658, 2174, 408, 7340, 2014, 568, 48218, 460, 43, 1000, 11186, 45682, 2148, 31600, 3708, 3725, 2367, 125, 3774, 9250, 39112, 31600, 3708, 6463, 1490, 6260, 408, 4127, 29931, 20859, 40603, 11007, 14139, 568, 204, 7462, 16081, 43, 1000, 11186, 42815, 13604, 32115, 11632, 1421, 111, 1421, 111, 942, 12177, 568, 24781, 6642, 11568, 2677, 1571, 4089, 569, 2653, 13427, 21615, 460, 31662, 408, 4411, 36942, 11624, 12177, 22784, 1227, 17233, 568, 1189, 29554, 3013, 3730, 6583, 6522, 12177, 22784, 32293, 408, 2253, 38737, 3013, 3730, 25195, 43, 1000, 11186, 14447, 32293, 568, 2822, 19880, 23343, 6463, 31577, 28752, 13027, 408, 2822, 19880, 23343, 6463, 31577, 19161, 12215, 408, 2822, 19880, 23343, 36075, 31577, 24288, 35288, 568, 2780, 2122, 3730, 13688, 2822, 10147, 408, 46236, 3456, 1638, 29554, 2823, 17473, 2218, 7251, 3456, 408, 12120, 12821, 5017, 12120, 9813, 30750, 5928, 568, 39264, 33210, 38814, 7413, 12821, 4134, 204, 12185, 44300, 1984, 3500, 3560, 2278, 3500, 1116, 32801, 7413, 1846, 3598, 408, 43841, 7251, 7652, 1345, 10366, 921, 29207, 31354, 28979, 408, 18653, 12177, 22784, 29491, 15891, 12177, 1689, 4197, 408, 43672, 7689, 2494, 2253, 4438, 6829, 10795, 44167, 1281, 260, 568, 19161, 12215, 3038, 7813, 13540, 3304, 13540, 12977, 568, 8270, 33484, 408, 10490, 408, 37866, 408, 2961, 261, 2492, 105, 854, 14905, 12185, 9751, 32467, 568, 204, 43, 1000, 11186, 45682, 2148, 31600, 3708, 9555, 1262, 3407, 5428, 408, 5017, 32929, 17211, 5801, 568, 2638, 1999, 4736, 6303, 2386, 3622, 9777, 9098, 7161, 13644, 7161, 23449, 408, 9555, 3560, 22603, 4402, 21161, 10716, 11587, 408, 11755, 2494, 942, 46934, 408, 5017, 1002, 11066, 16217, 408, 1002, 40889, 109, 3788, 568, 2638, 12793, 4004, 5784, 9777, 10458, 4121, 12530, 408, 1822, 3476, 3464, 24123, 11361, 2235, 6245, 5784, 16517, 7273, 258, 38100, 16814, 13974, 9438, 4758, 1227, 4121, 7527, 249, 22086, 568, 18583, 13897, 9110, 24625, 10001, 6764, 7452, 29281, 40927, 4661, 12793, 408, 9438, 4758, 6486, 854, 16517, 7273, 258, 38100, 460, 45033, 14557, 568, 204, 3500, 3560, 2278, 3500, 1116, 32801, 7413, 1846, 3598, 408, 43841, 7251, 7652, 1345, 10366, 921, 29207, 31354, 28979, 408, 45682, 2148, 6463, 31600, 3708, 18653, 12177, 22784, 29491, 15891, 12177, 1689, 4197, 408, 43672, 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, 7689, 2494, 2253, 4438, 6829, 10795, 44167, 1281, 260, 408, 19161, 12215, 3038, 7813, 13540, 3304, 13540, 12977, 568, 8270, 33484, 408, 10490, 408, 37866, 408, 2961, 261, 2492, 105, 854, 14905, 12185, 9751, 32467, 568, 204, 45682, 2148, 31600, 18938, 20085, 3456, 24627, 1638, 7462, 22146, 6347, 3248, 460, 14965, 21788, 568, 226, 3841, 20085, 4660, 5299, 4485, 27443, 408, 11026, 4762, 1689, 15208, 3456, 408, 40696, 8498, 2780, 2675, 17979, 5299, 568, 921, 19853, 1191, 7403, 4472, 3369, 7433, 408, 1002, 7416, 9198, 11319, 4304, 408, 2253, 2370, 3841, 20085, 3031, 1436, 237, 568, 14752, 44547, 408, 2402, 2370, 12177, 3675, 30526, 568, 45682, 2148, 7251, 3235, 4987, 4525, 11572, 13806, 7624, 11026, 40562, 13806, 33126, 408, 5643, 5290, 36167, 30097, 1191, 6371, 14168, 6848, 568, 0, 38, 2384, 353, 19683, 1340, 440, 16124, 368, 7993, 1702, 448, 32016, 17, 1066, 302, 11078, 17, 6276, 7703, 17, 329, 8565, 7644, 19, 334, 2384, 353, 273, 717, 71, 705, 311, 16124, 368, 329, 11237, 311, 3126, 275, 31774, 1493, 302, 2680, 18, 36389, 8106, 17, 448, 1250, 874, 437, 5962, 1682, 3747, 19, 204, 204, 12129, 575, 29036, 974, 275, 2439, 340, 6600, 730, 8130, 17, 928, 1250, 1193, 14359, 292, 3100, 8585, 7345, 1702, 448, 610, 18, 9097, 17, 9350, 17, 329, 741, 4064, 19, 334, 8130, 3629, 1660, 18, 1424, 18, 2290, 5169, 311, 3490, 17, 11439, 3612, 311, 3126, 275, 1352, 329, 4309, 1662, 311, 2616, 3490, 523, 1017, 3346, 19, 204, 204, 673, 10290, 8130, 17, 2439, 340, 6600, 730, 17, 618, 444, 1376, 348, 4109, 8585, 4364, 17, 2864, 12661, 16124, 17, 44548, 16124, 17, 329, 791, 2283, 464, 16124, 19, 1547, 618, 1340, 440, 7993, 1702, 448, 31, 204, 204, 15, 48508, 88, 204, 15, 7035, 302, 11078, 204, 15, 22761, 7703, 204, 15, 12748, 7644, 204, 15, 22263, 11661, 204, 15, 19524, 7703, 204, 15, 22169, 18, 2662, 18, 2662, 8027, 204, 204, 673, 8130, 3629, 273, 1660, 18, 1424, 18, 2290, 1988, 311, 3490, 560, 7493, 1498, 292, 275, 1844, 497, 273, 9752, 329, 26222, 523, 388, 14225, 2948, 1547, 353, 273, 4382, 3966, 348, 2459, 1415, 1519, 1340, 440, 8585, 329, 3480, 311, 3126, 275, 31774, 1493, 302, 275, 3397, 19, 0, 647, 4028, 204, 531, 33112, 1825, 19, 6424, 532, 16447, 2157, 6067, 204, 531, 33112, 1825, 19, 27752, 19, 324, 72, 532, 346, 7460, 4872, 3890, 299, 17, 502, 7278, 20140, 17, 16447, 1338, 4872, 3890, 299, 17, 7052, 4872, 3890, 299, 204, 531, 33112, 1825, 19, 2182, 19, 18292, 68, 23712, 532, 26982, 40916, 204, 531, 33112, 1825, 19, 5719, 532, 34735, 11690, 204, 531, 33112, 1825, 19, 809, 19, 5719, 68, 809, 532, 8361, 1655, 204, 531, 33112, 1825, 19, 3978, 19, 5135, 19, 6424, 68, 5135, 532, 3953, 68, 6424, 17, 951, 68, 6424, 204, 204, 8, 4861, 204, 21951, 68, 11372, 289, 500, 204, 5605, 68, 22439, 68, 11372, 289, 2031, 204, 43287, 68, 3344, 289, 388, 59, 48571, 18, 19913, 33977, 18, 91, 21, 7, 204, 44, 39802, 68, 11372, 289, 500, 19, 2418, 204, 43833, 1000, 68, 11372, 289, 2753, 204, 5551, 68, 17176, 68, 11372, 289, 1607, 204, 5551, 68, 29500, 68, 11372, 289, 5953, 204, 5551, 68, 3668, 2229, 2214, 68, 11372, 289, 720, 204, 5551, 68, 22439, 68, 11372, 289, 552, 1452, 16083, 1000, 68, 11372, 204, 26052, 5077, 68, 3344, 289, 388, 331, 82, 68, 36090, 299, 7, 204, 48, 9213, 4329, 68, 11372, 289, 368, 19, 21, 204, 39, 2166, 3845, 68, 11372, 289, 551, 21, 19, 23, 17, 500, 19, 29, 17, 500, 66, 204, 60, 29396, 68, 13858, 68, 11372, 289, 959, 204, 5551, 68, 22990, 68, 11372, 289, 368, 204, 5551, 68, 44514, 20672, 68, 11372, 289, 2753, 204, 204, 461, 838, 68, 5719, 13, 5273, 31, 421, 17, 1964, 68, 417, 31, 394, 14, 393, 34735, 11690, 31, 204, 264, 320, 204, 264, 666, 273, 34735, 11690, 726, 19, 204, 204, 264, 457, 31, 204, 268, 4257, 322, 339, 330, 334, 4257, 700, 348, 275, 1964, 19, 204, 268, 1964, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1964, 19, 204, 204, 264, 475, 31, 204, 268, 34735, 11690, 31, 334, 1966, 1964, 19, 204, 264, 320, 204, 264, 407, 34735, 11690, 13, 5719, 68, 417, 17, 4257, 14, 204, 204, 461, 838, 68, 5719, 68, 809, 13, 5719, 31, 34735, 11690, 14, 393, 8361, 1655, 31, 204, 264, 320, 204, 264, 666, 437, 8361, 1655, 726, 19, 204, 204, 264, 457, 31, 204, 268, 1964, 322, 44, 6412, 11690, 330, 334, 1964, 311, 838, 273, 570, 497, 19, 204, 204, 264, 475, 31, 204, 268, 8361, 1655, 31, 334, 1966, 1964, 570, 19, 204, 264, 320, 204, 264, 5162, 68, 809, 289, 4028, 19, 23619, 13, 5719, 14, 204, 264, 5162, 68, 809, 19, 7142, 374, 204, 264, 407, 5162, 68, 809, 204, 204, 461, 838, 68, 809, 13, 5719, 68, 809, 31, 8361, 1655, 17, 570, 68, 11951, 31, 394, 14, 393, 8361, 1655, 31, 204, 264, 320, 204, 264, 666, 273, 570, 302, 273, 2824, 5568, 19, 204, 204, 264, 457, 31, 204, 268, 1964, 68, 809, 322, 11690, 1655, 330, 334, 1964, 570, 311, 838, 273, 570, 497, 19, 204, 268, 570, 68, 11951, 322, 325, 330, 334, 5568, 302, 570, 311, 838, 322, 44330, 17, 11141, 17, 30238, 789, 204, 204, 264, 475, 31, 204, 268, 8361, 1655, 31, 334, 1966, 570, 19, 204, 264, 320, 204, 264, 407, 4028, 19, 23619, 13, 11690, 1655, 13, 5719, 68, 809, 17, 570, 68, 11951, 34, 809, 68, 11951, 602, 204, 204, 461, 838, 68, 324, 72, 68, 16448, 13, 204, 264, 20738, 787, 68, 809, 31, 8361, 1655, 17, 204, 264, 5877, 68, 809, 31, 8361, 1655, 17, 204, 264, 30238, 68, 809, 31, 8361, 1655, 17, 204, 264, 9077, 31, 818, 17, 204, 264, 22758, 31, 421, 17, 204, 264, 771, 68, 4077, 31, 421, 17, 204, 264, 771, 68, 404, 3379, 31, 421, 17, 204, 264, 11355, 68, 417, 31, 394, 17, 204, 264, 771, 68, 2062, 31, 421, 289, 443, 17, 204, 264, 34507, 31, 818, 289, 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, 443, 17, 204, 264, 47351, 31, 458, 289, 443, 17, 204, 264, 8862, 68, 1530, 31, 1109, 289, 959, 17, 204, 264, 771, 68, 6995, 31, 421, 289, 368, 17, 204, 14, 393, 502, 7278, 20140, 31, 204, 264, 320, 204, 264, 666, 437, 502, 7278, 11355, 726, 19, 204, 204, 264, 457, 31, 204, 268, 20738, 787, 68, 809, 322, 11690, 1655, 330, 334, 20738, 787, 570, 19, 204, 268, 5877, 68, 809, 322, 11690, 1655, 330, 334, 5877, 570, 19, 204, 268, 30238, 68, 809, 322, 11690, 1655, 330, 334, 30238, 570, 19, 204, 268, 9077, 322, 996, 330, 334, 6778, 2479, 19, 204, 268, 22758, 322, 339, 330, 334, 11666, 22758, 19, 204, 268, 771, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 268, 771, 68, 404, 3379, 322, 339, 330, 334, 542, 302, 32400, 4645, 19, 204, 268, 11355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 11355, 322, 2017, 68, 36090, 299, 17, 279, 547, 68, 36090, 299, 17, 309, 453, 78, 68, 36090, 299, 789, 204, 268, 771, 68, 2062, 322, 339, 17, 1448, 330, 334, 542, 302, 6195, 19, 1243, 311, 443, 19, 204, 268, 34507, 322, 996, 17, 1448, 330, 334, 34507, 700, 19, 1243, 311, 443, 19, 204, 268, 47351, 322, 655, 17, 1448, 330, 334, 7855, 1019, 19, 1243, 311, 443, 19, 204, 268, 8862, 68, 1530, 322, 2107, 17, 1448, 330, 2266, 311, 732, 8862, 1012, 19, 1243, 311, 959, 19, 204, 268, 771, 68, 6995, 322, 339, 17, 1448, 330, 334, 542, 302, 46266, 19, 1243, 311, 368, 19, 204, 204, 264, 475, 31, 204, 268, 502, 7278, 20140, 31, 334, 1966, 502, 7278, 11355, 19, 204, 264, 320, 204, 264, 46773, 289, 463, 204, 268, 388, 2017, 68, 36090, 299, 559, 7052, 4872, 3890, 299, 17, 204, 268, 388, 331, 82, 68, 36090, 299, 559, 346, 7460, 4872, 3890, 299, 17, 204, 268, 388, 324, 1460, 68, 36090, 299, 559, 16447, 1338, 4872, 3890, 299, 17, 204, 264, 1211, 204, 204, 264, 397, 11355, 68, 417, 508, 292, 46773, 31, 204, 268, 980, 9936, 13, 75, 7, 20140, 463, 16448, 68, 417, 98, 508, 7306, 431, 204, 204, 264, 11355, 68, 676, 289, 46773, 64, 16448, 68, 417, 66, 204, 204, 264, 397, 11355, 68, 417, 564, 388, 2017, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 771, 68, 404, 3379, 34, 920, 68, 404, 3379, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 264, 1677, 11355, 68, 417, 564, 388, 331, 82, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 2062, 34, 920, 68, 2062, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 771, 68, 404, 3379, 34, 920, 68, 404, 3379, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 264, 1677, 11355, 68, 417, 564, 388, 324, 1460, 68, 36090, 299, 559, 204, 268, 407, 11355, 68, 676, 13, 204, 305, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 305, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 305, 22758, 34, 31765, 17, 204, 305, 9077, 34, 9655, 17, 204, 305, 771, 68, 2062, 34, 920, 68, 2062, 17, 204, 305, 34507, 34, 31233, 17, 204, 305, 2081, 68, 10620, 34, 9553, 402, 17, 204, 305, 771, 68, 4077, 34, 920, 68, 4077, 17, 204, 305, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 305, 11221, 68, 8901, 34, 3170, 17, 204, 305, 8862, 68, 1530, 34, 24440, 68, 1530, 17, 204, 305, 1540, 68, 1744, 1022, 3037, 528, 204, 305, 771, 68, 6995, 34, 920, 68, 6995, 17, 204, 268, 1179, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 1964, 329, 1964, 570, 204, 264, 1964, 289, 838, 68, 5719, 13, 21951, 68, 11372, 17, 21765, 37539, 68, 3344, 14, 204, 264, 1964, 68, 809, 289, 838, 68, 5719, 68, 809, 13, 5719, 14, 204, 204, 264, 314, 666, 20738, 787, 17, 5877, 17, 329, 30238, 1094, 204, 264, 20738, 787, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 44330, 431, 204, 264, 5877, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 14493, 431, 204, 264, 30238, 68, 809, 289, 838, 68, 809, 13, 5719, 68, 809, 17, 388, 11781, 344, 431, 204, 204, 264, 314, 666, 502, 7278, 11355, 204, 264, 309, 6092, 68, 16448, 289, 838, 68, 324, 72, 68, 16448, 13, 204, 268, 20738, 787, 68, 809, 34, 25895, 787, 68, 809, 17, 204, 268, 5877, 68, 809, 34, 8901, 68, 809, 17, 204, 268, 30238, 68, 809, 34, 11781, 344, 68, 809, 17, 204, 268, 9077, 34, 44, 39802, 68, 11372, 17, 204, 268, 22758, 34, 43833, 1000, 68, 11372, 17, 204, 268, 771, 68, 4077, 34, 5551, 68, 29500, 68, 11372, 17, 204, 268, 771, 68, 404, 3379, 34, 5551, 68, 3668, 2229, 2214, 68, 11372, 17, 204, 268, 11355, 68, 417, 34, 26052, 5077, 68, 3344, 17, 204, 268, 771, 68, 2062, 34, 5551, 68, 17176, 68, 11372, 17, 204, 268, 34507, 34, 48, 9213, 4329, 68, 11372, 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, 204, 268, 47351, 34, 39, 2166, 3845, 68, 11372, 17, 204, 268, 8862, 68, 1530, 34, 60, 29396, 68, 13858, 68, 11372, 17, 204, 268, 771, 68, 6995, 34, 5551, 68, 22990, 68, 11372, 17, 204, 264, 1179, 204, 204, 264, 314, 666, 4748, 329, 951, 204, 264, 4748, 289, 16447, 2157, 6067, 13, 324, 72, 68, 16448, 34, 324, 72, 68, 16448, 14, 204, 264, 951, 68, 6424, 13, 204, 268, 4748, 17, 204, 268, 1964, 68, 809, 17, 204, 268, 771, 68, 16853, 34, 5551, 68, 44514, 20672, 68, 11372, 17, 204, 268, 846, 68, 4593, 34, 5605, 68, 22439, 68, 11372, 17, 204, 268, 456, 68, 5270, 34, 22, 17, 204, 268, 2111, 34, 1021, 17, 204, 264, 1179, 204, 204, 264, 314, 4938, 4748, 204, 264, 3953, 68, 6424, 13, 6424, 17, 1964, 34, 5719, 17, 771, 68, 16853, 34, 22, 17, 846, 68, 4593, 34, 5605, 68, 22439, 68, 11372, 17, 2111, 34, 1021, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1040, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 268, 724, 31, 334, 1351, 3442, 19, 204, 204, 264, 475, 31, 204, 268, 334, 542, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 724, 353, 508, 3114, 1194, 500, 19, 204, 264, 320, 204, 264, 314, 778, 397, 724, 353, 1097, 204, 264, 397, 724, 2186, 500, 31, 204, 268, 980, 987, 499, 80, 1631, 444, 3114, 1194, 500, 431, 204, 204, 264, 314, 977, 2558, 311, 3550, 3234, 302, 275, 1351, 329, 275, 1040, 302, 21522, 204, 264, 1351, 289, 368, 204, 264, 1824, 289, 500, 204, 264, 1040, 289, 500, 204, 204, 264, 314, 1861, 1048, 275, 458, 302, 886, 204, 264, 348, 1629, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 314, 1716, 275, 1351, 204, 268, 1351, 10744, 886, 64, 1633, 66, 204, 204, 268, 314, 2541, 13820, 275, 2158, 497, 275, 1824, 397, 275, 1351, 353, 3114, 1194, 521, 1936, 311, 724, 204, 268, 1335, 1351, 3721, 724, 329, 1824, 2186, 1629, 31, 204, 305, 1351, 16695, 886, 64, 1735, 66, 204, 305, 1824, 1412, 368, 204, 204, 268, 314, 1716, 275, 1040, 302, 21522, 204, 268, 1040, 1412, 1629, 338, 1824, 465, 368, 204, 204, 264, 407, 1040, 204, 204, 204, 461, 636, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 31, 458, 64, 339, 648, 724, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 3596, 275, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 268, 724, 31, 334, 1351, 3442, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 21522, 440, 273, 1351, 2202, 1194, 724, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 724, 353, 508, 3114, 1194, 500, 19, 204, 264, 320, 204, 264, 314, 778, 397, 724, 353, 1097, 204, 264, 397, 724, 2186, 500, 31, 204, 268, 980, 987, 499, 80, 1631, 444, 3114, 1194, 500, 431, 204, 204, 264, 314, 977, 2558, 311, 1640, 275, 21522, 204, 264, 21522, 289, 1306, 204, 204, 264, 314, 1861, 1048, 275, 458, 302, 886, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 1351, 289, 368, 204, 268, 348, 781, 292, 933, 13, 78, 17, 1245, 13, 1630, 4019, 204, 305, 314, 1716, 275, 1351, 204, 305, 1351, 10744, 886, 64, 79, 66, 204, 204, 305, 314, 778, 397, 275, 1351, 353, 2202, 1194, 724, 204, 305, 397, 1351, 962, 724, 31, 204, 485, 314, 5230, 275, 8577, 311, 275, 458, 302, 21522, 204, 485, 21522, 19, 1223, 13, 1630, 64, 78, 31, 79, 16, 22, 694, 204, 204, 264, 407, 21522, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 886, 289, 551, 1003, 17, 720, 17, 435, 17, 887, 66, 204, 264, 724, 289, 2753, 204, 264, 456, 499, 7366, 302, 21522, 440, 1351, 2202, 1194, 724, 2180, 1040, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 17, 724, 602, 204, 264, 456, 499, 3488, 14816, 440, 1351, 2202, 1194, 724, 2180, 636, 68, 40269, 68, 2004, 68, 2572, 68, 3275, 68, 13798, 68, 80, 13, 1630, 17, 724, 602, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 676, 25699, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 4389, 3595, 329, 886, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 732, 292, 275, 4389, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 25699, 440, 273, 588, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 311, 732, 292, 275, 4389, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 204, 264, 436, 456, 68, 7291, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 4389, 943, 19, 204, 204, 268, 457, 31, 204, 305, 943, 322, 325, 330, 334, 943, 311, 456, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 4389, 943, 440, 275, 588, 204, 268, 456, 13, 75, 1954, 1454, 1522, 463, 327, 19, 417, 23214, 204, 204, 264, 436, 456, 68, 2017, 68, 1190, 13, 327, 17, 1006, 68, 876, 31, 421, 289, 368, 17, 846, 68, 876, 31, 421, 289, 1607, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 1400, 542, 2614, 273, 1713, 933, 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, 268, 457, 31, 204, 305, 1006, 68, 876, 322, 339, 17, 1448, 330, 334, 2311, 700, 19, 1243, 311, 368, 19, 204, 305, 846, 68, 876, 322, 339, 17, 1448, 330, 334, 1646, 700, 19, 1243, 311, 1607, 19, 204, 268, 320, 204, 268, 314, 2069, 329, 456, 273, 1400, 542, 2614, 275, 1713, 933, 204, 268, 1400, 68, 1190, 289, 1400, 19, 5574, 13, 885, 68, 876, 17, 846, 68, 876, 14, 204, 268, 456, 13, 75, 7, 10357, 1400, 542, 353, 31, 463, 2017, 68, 1190, 743, 204, 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, 666, 273, 25699, 1014, 440, 273, 588, 204, 264, 32324, 289, 25699, 499, 13142, 431, 204, 204, 264, 314, 1198, 273, 4389, 943, 204, 264, 4389, 68, 1454, 289, 388, 5975, 7, 204, 264, 32324, 19, 2102, 68, 7291, 13, 7291, 68, 1454, 14, 204, 204, 264, 314, 1198, 273, 1400, 542, 204, 264, 32324, 19, 2102, 68, 2017, 68, 1190, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 636, 68, 816, 68, 768, 374, 393, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 275, 542, 302, 2696, 17, 1029, 1066, 17, 329, 1184, 1019, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 332, 927, 1174, 275, 542, 302, 2696, 17, 1029, 1066, 17, 329, 1184, 1019, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 2696, 329, 1029, 1066, 497, 275, 575, 204, 264, 771, 68, 1996, 17, 1029, 68, 1303, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 2696, 329, 1029, 1066, 322, 2816, 18, 7996, 330, 6165, 1590, 1447, 204, 615, 264, 314, 763, 275, 1184, 1019, 497, 275, 575, 204, 264, 1184, 68, 1309, 289, 458, 13, 1608, 13, 339, 17, 537, 13, 75, 7, 2101, 463, 920, 68, 1996, 98, 1184, 1019, 322, 2816, 18, 7996, 330, 6165, 1590, 5887, 204, 615, 264, 314, 3866, 275, 542, 302, 1184, 1019, 204, 264, 397, 1245, 13, 1271, 68, 1309, 14, 2167, 771, 68, 1996, 31, 204, 268, 980, 987, 499, 1962, 542, 302, 1184, 1019, 431, 204, 615, 264, 407, 771, 68, 1996, 17, 1029, 68, 1303, 17, 1184, 68, 1309, 204, 204, 204, 461, 618, 68, 2922, 68, 3280, 68, 5450, 13, 2170, 68, 1303, 31, 421, 17, 1184, 68, 1309, 31, 458, 64, 339, 694, 393, 1109, 31, 204, 264, 320, 204, 264, 4347, 397, 275, 1043, 2061, 618, 4033, 974, 8175, 7786, 19, 204, 204, 264, 457, 31, 204, 268, 1029, 68, 1303, 322, 339, 330, 334, 1029, 1066, 311, 5288, 19, 204, 268, 1184, 68, 1309, 322, 655, 64, 339, 1037, 332, 458, 302, 1184, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 1043, 2061, 618, 4033, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 666, 273, 8175, 7786, 1435, 311, 1640, 275, 1563, 302, 860, 20107, 204, 264, 7165, 68, 1867, 289, 551, 1975, 66, 540, 322, 2170, 68, 1303, 465, 368, 14, 204, 264, 7165, 68, 1867, 64, 21, 66, 289, 959, 226, 314, 3301, 1322, 31, 275, 1043, 2061, 618, 4033, 440, 273, 1029, 1066, 302, 500, 204, 615, 264, 314, 10155, 275, 8175, 7786, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1029, 68, 1303, 465, 368, 330, 204, 268, 348, 1184, 68, 876, 292, 1184, 68, 1309, 31, 204, 305, 397, 296, 338, 1184, 68, 876, 3721, 500, 31, 204, 485, 314, 828, 275, 1043, 2061, 618, 4033, 440, 275, 790, 1029, 1066, 13576, 275, 1184, 700, 17, 204, 485, 314, 1675, 1250, 618, 1425, 4033, 440, 275, 790, 1029, 1066, 204, 485, 7165, 68, 1867, 64, 78, 66, 29694, 508, 7165, 68, 1867, 64, 78, 338, 1184, 68, 876, 66, 204, 615, 264, 314, 455, 275, 722, 348, 275, 1029, 1066, 204, 264, 407, 7165, 68, 1867, 64, 2170, 68, 1303, 66, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 2906, 537, 17, 949, 275, 722, 17, 329, 456, 275, 919, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 575, 537, 204, 268, 771, 68, 1996, 17, 1029, 68, 1303, 17, 1184, 68, 1309, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 888, 275, 722, 204, 268, 722, 289, 618, 68, 2922, 68, 3280, 68, 5450, 13, 2170, 68, 1303, 17, 1184, 68, 1309, 14, 204, 822, 268, 314, 1198, 275, 919, 204, 268, 456, 611, 5834, 12, 397, 722, 902, 379, 17117, 534, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 1962, 537, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 5920, 532, 7664, 204, 204, 461, 1020, 68, 4425, 68, 19628, 68, 1849, 13, 1630, 31, 783, 64, 339, 694, 393, 1884, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 1752, 275, 1901, 11899, 1103, 292, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 1901, 11899, 1103, 329, 1163, 1040, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 458, 353, 1392, 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, 1974, 7664, 311, 1040, 275, 3133, 302, 848, 1103, 204, 264, 314, 1058, 353, 1182, 6184, 1194, 974, 275, 1040, 1216, 292, 273, 3546, 204, 264, 3133, 68, 765, 289, 7664, 13, 1630, 14, 204, 204, 264, 314, 1752, 275, 1901, 11899, 1103, 204, 264, 314, 334, 1901, 68, 4608, 1216, 2584, 273, 458, 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, 5760, 17, 1273, 275, 1043, 1103, 353, 275, 542, 329, 275, 1350, 1103, 353, 275, 1040, 204, 264, 314, 1785, 732, 275, 846, 741, 440, 273, 896, 311, 1020, 275, 927, 440, 275, 1646, 1040, 204, 264, 1901, 68, 19628, 68, 1849, 17, 846, 68, 765, 289, 846, 13, 5270, 68, 765, 19, 1996, 2144, 896, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 204, 264, 407, 1901, 68, 19628, 68, 1849, 17, 846, 68, 765, 204, 204, 204, 461, 456, 68, 1300, 13, 1849, 31, 421, 17, 1040, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 1901, 11899, 1103, 329, 1163, 1040, 19, 204, 204, 264, 457, 31, 204, 268, 1103, 31, 334, 1901, 11899, 1103, 19, 204, 268, 1040, 31, 334, 1040, 302, 275, 1901, 11899, 1103, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 722, 292, 273, 6585, 782, 204, 264, 456, 13, 75, 7, 673, 1901, 11899, 1103, 353, 463, 1849, 98, 440, 273, 1040, 302, 463, 765, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 681, 17, 720, 17, 720, 17, 720, 17, 887, 17, 368, 66, 204, 264, 810, 31, 204, 268, 1103, 17, 1040, 289, 1020, 68, 4425, 68, 19628, 68, 1849, 13, 1630, 14, 204, 268, 456, 68, 1300, 13, 1849, 17, 1040, 14, 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, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 12468, 26, 19, 11540, 532, 15791, 17, 26502, 17, 25962, 17, 38122, 17, 1301, 32009, 17, 1301, 33172, 3314, 17, 1301, 13096, 7131, 1655, 17, 1301, 7131, 3244, 204, 531, 12468, 26, 19, 13113, 532, 45294, 17, 1301, 3713, 204, 531, 8632, 532, 8204, 204, 204, 8, 968, 273, 424, 850, 311, 5148, 575, 3695, 204, 37, 6611, 204, 676, 2221, 17031, 31, 204, 264, 320, 38, 424, 850, 311, 5148, 575, 3695, 1279, 204, 264, 1724, 31, 394, 204, 264, 1043, 68, 417, 31, 394, 204, 264, 1673, 68, 417, 31, 394, 204, 264, 1489, 68, 522, 68, 8521, 31, 1301, 3713, 204, 264, 3783, 68, 1190, 31, 394, 204, 264, 1995, 31, 394, 204, 264, 3226, 31, 394, 204, 264, 7155, 68, 29647, 31, 394, 204, 264, 7155, 68, 29647, 68, 1190, 31, 394, 204, 264, 7155, 68, 29647, 68, 4780, 31, 394, 204, 204, 676, 3746, 5834, 13, 54, 13096, 7131, 1655, 330, 204, 264, 320, 38, 1435, 570, 311, 2037, 575, 3695, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 424, 17, 2260, 34, 3170, 330, 204, 268, 2234, 3853, 924, 889, 3619, 14, 204, 268, 370, 806, 481, 289, 424, 204, 204, 264, 436, 424, 13, 327, 17, 1112, 17, 4263, 330, 204, 268, 397, 4263, 564, 500, 31, 204, 305, 407, 370, 806, 481, 64, 998, 19, 937, 374, 1799, 998, 19, 3071, 6485, 204, 268, 407, 443, 204, 204, 264, 436, 1237, 7366, 13, 327, 17, 1112, 330, 204, 268, 407, 1245, 13, 327, 806, 481, 14, 204, 204, 264, 436, 1837, 7366, 13, 327, 17, 1112, 330, 204, 268, 407, 1245, 13, 327, 806, 481, 64, 21, 694, 204, 204, 676, 6867, 6188, 13, 14711, 330, 204, 264, 320, 38, 9841, 1472, 348, 18120, 575, 3695, 1279, 204, 264, 8170, 68, 2997, 289, 45294, 374, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2260, 34, 3170, 330, 204, 268, 2234, 3853, 924, 889, 3619, 14, 204, 268, 370, 19, 924, 68, 14891, 374, 204, 204, 264, 436, 5520, 68, 14891, 13, 327, 330, 204, 268, 320, 12413, 275, 9841, 1842, 1279, 204, 268, 314, 666, 1769, 329, 537, 2357, 204, 268, 370, 19, 2185, 289, 551, 204, 305, 25962, 611, 10453, 2008, 204, 305, 25962, 611, 5834, 4014, 2008, 204, 305, 25962, 611, 12378, 4014, 2008, 204, 305, 25962, 611, 3713, 302, 24884, 2008, 204, 305, 25962, 611, 15351, 3239, 2008, 204, 305, 25962, 611, 10979, 2008, 204, 305, 25962, 611, 16693, 2008, 204, 305, 25962, 611, 39957, 47533, 2008, 204, 305, 25962, 611, 39957, 47533, 3239, 2008, 204, 305, 25962, 611, 39957, 47533, 18027, 534, 204, 268, 2437, 204, 204, 268, 370, 19, 4599, 289, 551, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 1301, 33172, 3314, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 2144, 204, 305, 38122, 374, 204, 268, 2437, 204, 204, 268, 314, 666, 273, 2333, 5328, 204, 268, 2333, 289, 1301, 32009, 374, 204, 268, 348, 296, 17, 322, 1676, 17, 537, 68, 1993, 14, 292, 3209, 13, 5714, 13, 327, 19, 2185, 17, 370, 19, 4599, 4019, 204, 305, 2333, 19, 10012, 13, 1676, 17, 296, 17, 500, 14, 204, 305, 2333, 19, 10012, 13, 768, 68, 1993, 17, 296, 17, 368, 14, 204, 204, 268, 370, 19, 25489, 13, 2700, 14, 204, 204, 264, 436, 2106, 13, 327, 330, 204, 268, 320, 19324, 275, 575, 537, 1279, 204, 268, 810, 31, 204, 305, 314, 763, 575, 537, 204, 305, 1724, 289, 370, 19, 4599, 64, 21, 1664, 492, 374, 204, 305, 1043, 68, 417, 289, 370, 19, 4599, 64, 22, 1664, 492, 374, 204, 305, 1673, 68, 417, 289, 370, 19, 4599, 64, 23, 1664, 492, 374, 204, 305, 1489, 68, 522, 68, 8521, 289, 370, 19, 4599, 64, 24, 1664, 9227, 3713, 374, 204, 305, 3783, 68, 1190, 289, 370, 19, 4599, 64, 25, 1664, 492, 374, 204, 305, 1995, 289, 370, 19, 4599, 64, 26, 1664, 492, 374, 204, 305, 3226, 289, 370, 19, 4599, 64, 27, 1664, 492, 374, 204, 305, 7155, 68, 29647, 289, 370, 19, 4599, 64, 28, 1664, 492, 374, 204, 305, 7155, 68, 29647, 68, 1190, 289, 370, 19, 4599, 64, 29, 1664, 492, 374, 204, 305, 7155, 68, 29647, 68, 4780, 289, 370, 19, 4599, 64, 30, 1664, 492, 374, 204, 204, 305, 314, 666, 273, 2221, 17031, 726, 204, 305, 575, 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, 4810, 289, 2221, 17031, 13, 204, 485, 1724, 17, 204, 485, 1043, 68, 417, 17, 204, 485, 1673, 68, 417, 17, 204, 485, 1489, 68, 522, 68, 8521, 17, 204, 485, 3783, 68, 1190, 17, 204, 485, 1995, 17, 204, 485, 3226, 17, 204, 485, 7155, 68, 29647, 17, 204, 485, 7155, 68, 29647, 68, 1190, 17, 204, 485, 7155, 68, 29647, 68, 4780, 204, 305, 1179, 204, 204, 305, 314, 666, 273, 1435, 570, 204, 305, 570, 289, 3746, 5834, 8963, 20537, 13, 816, 68, 4810, 17, 8148, 14, 348, 8148, 292, 27081, 13, 816, 68, 4810, 789, 3261, 374, 4097, 204, 204, 305, 314, 666, 273, 1435, 2013, 204, 305, 1435, 68, 1529, 289, 1301, 7131, 3244, 374, 204, 305, 1435, 68, 1529, 19, 574, 1655, 13, 809, 14, 204, 204, 305, 314, 6426, 275, 1435, 2013, 204, 305, 1435, 68, 1529, 19, 2896, 374, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 7770, 537, 31, 463, 74, 743, 204, 204, 264, 436, 2901, 13, 327, 330, 204, 268, 320, 42, 2392, 275, 8170, 68, 2997, 3683, 1279, 204, 268, 370, 19, 12263, 68, 2997, 19, 17406, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 2454, 204, 264, 740, 289, 15791, 13, 4807, 19, 4983, 14, 204, 264, 2158, 289, 6867, 6188, 374, 204, 264, 2158, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 0, 676, 12160, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 5333, 1747, 19, 204, 204, 264, 1532, 31, 204, 268, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 268, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 19, 204, 268, 3188, 322, 996, 330, 334, 790, 3188, 292, 275, 1747, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1747, 68, 1190, 31, 394, 17, 1747, 68, 4624, 31, 394, 17, 1419, 68, 3631, 31, 818, 289, 500, 19, 21, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 5333, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1747, 68, 1190, 322, 325, 330, 334, 2220, 1747, 542, 19, 204, 305, 1747, 68, 4624, 322, 325, 330, 334, 588, 302, 275, 1747, 14058, 19, 204, 305, 1419, 68, 3631, 322, 996, 17, 1448, 330, 334, 1419, 3188, 292, 275, 1747, 19, 1243, 311, 500, 19, 21, 19, 204, 268, 320, 204, 268, 370, 19, 3652, 68, 1190, 289, 1747, 68, 1190, 204, 268, 370, 19, 3652, 68, 4624, 289, 1747, 68, 4624, 204, 268, 370, 19, 3631, 289, 1419, 68, 3631, 204, 204, 264, 436, 7666, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20640, 273, 1713, 1690, 1025, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7666, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 7666, 1690, 353, 1097, 322, 5198, 18, 4721, 14, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 24275, 1690, 2950, 444, 2917, 431, 204, 268, 314, 1716, 275, 1747, 3188, 204, 268, 370, 19, 3631, 1412, 1690, 204, 204, 264, 436, 7138, 13, 327, 17, 1690, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20954, 273, 1713, 1690, 497, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7138, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 11528, 1690, 353, 1097, 322, 5198, 18, 4721, 329, 508, 26211, 275, 3188, 14, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 25463, 1690, 2950, 444, 2917, 431, 204, 268, 397, 1690, 1323, 370, 19, 3631, 31, 204, 305, 980, 987, 499, 20273, 14375, 431, 204, 268, 314, 1716, 275, 1747, 3188, 204, 268, 370, 19, 3631, 4922, 1690, 204, 204, 264, 436, 636, 68, 3631, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 475, 275, 790, 3188, 292, 275, 1747, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 790, 3188, 19, 204, 268, 320, 204, 268, 407, 370, 19, 3631, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5333, 1747, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 5333, 1747, 19, 204, 268, 320, 204, 268, 407, 283, 7, 7148, 3239, 31, 463, 327, 19, 3652, 68, 1190, 1522, 11937, 552, 1911, 31, 463, 327, 19, 3652, 68, 4624, 1522, 23904, 31, 463, 327, 19, 3631, 4567, 23, 75, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1747, 289, 12160, 499, 14788, 528, 388, 6192, 7358, 528, 3861, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 1747, 19, 15749, 13, 4589, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 1747, 19, 15691, 13, 2825, 19, 21, 14, 204, 264, 456, 13, 3652, 14, 204, 264, 456, 13, 75, 7, 11322, 23904, 31, 463, 3652, 19, 505, 68, 3631, 22215, 23, 75, 743, 204, 0, 658, 10004, 19366, 47265, 20083, 278, 41471, 7422, 204, 204, 1380, 10721, 204, 204, 38, 5218, 2484, 353, 437, 726, 496, 11280, 4451, 830, 26865, 12772, 496, 14646, 523, 490, 329, 47544, 15682, 12772, 292, 273, 7346, 11651, 5575, 311, 1163, 3312, 19, 334, 26680, 12772, 560, 273, 5218, 2484, 353, 3250, 5218, 2484, 12772, 19, 204, 204, 1380, 20083, 278, 677, 41471, 7422, 204, 204, 37316, 278, 677, 11492, 3938, 3584, 496, 275, 5218, 18, 3825, 12772, 5825, 348, 1792, 10024, 1120, 7942, 630, 1792, 26827, 17, 928, 529, 30016, 11832, 311, 275, 3312, 19, 334, 3938, 353, 8286, 560, 275, 1581, 31, 204, 204, 11606, 12778, 289, 308, 20, 57, 204, 204, 3663, 11895, 12778, 353, 275, 13268, 630, 928, 275, 12772, 18001, 17, 313, 353, 275, 4923, 3312, 17, 329, 308, 353, 20083, 278, 677, 11492, 3324, 322, 19917, 435, 19, 29, 5839, 6074, 1794, 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, 4656, 2152, 11720, 1003, 12845, 24, 309, 164, 36976, 48, 789, 204, 204, 1380, 1165, 204, 204, 3070, 273, 6659, 630, 18881, 48, 17, 275, 7942, 12772, 353, 630, 8025, 23985, 17, 928, 353, 10701, 3651, 22494, 19, 334, 6747, 677, 3776, 3312, 353, 14811, 473, 1144, 17, 329, 1163, 7942, 12772, 919, 353, 630, 5106, 23985, 17, 928, 353, 292, 275, 9455, 3702, 11651, 19, 204, 204, 1380, 36263, 302, 20083, 278, 677, 41471, 7422, 204, 204, 673, 3938, 867, 10819, 560, 15192, 39695, 20083, 278, 292, 1916, 7723, 1609, 523, 33823, 5978, 1906, 19, 20083, 278, 6028, 275, 1352, 302, 37942, 47349, 10291, 302, 273, 29602, 1174, 3702, 12769, 292, 15682, 13471, 19, 204, 204, 1380, 30333, 88, 204, 204, 22, 19, 930, 3728, 353, 20083, 278, 677, 7422, 9390, 204, 37316, 278, 677, 3938, 3584, 496, 275, 5218, 18, 3825, 12772, 5825, 348, 1792, 10024, 1120, 7942, 630, 1792, 26827, 17, 928, 529, 30016, 11832, 311, 275, 3312, 19, 204, 23, 19, 930, 7874, 273, 5218, 2484, 16935, 12772, 9390, 204, 12950, 17, 830, 2828, 16935, 12772, 5575, 311, 1017, 3312, 19, 332, 5218, 2484, 353, 437, 10495, 1491, 726, 496, 11280, 4451, 830, 26865, 12772, 329, 47544, 15682, 12772, 292, 273, 7346, 11651, 19, 204, 24, 19, 930, 21912, 10819, 275, 2231, 348, 5218, 2484, 12772, 9390, 204, 6507, 40040, 10819, 275, 2231, 348, 5218, 2484, 12772, 17, 3556, 448, 40040, 677, 3938, 17, 292, 22063, 19, 204, 25, 19, 930, 3728, 353, 275, 2089, 348, 12772, 9390, 204, 673, 2089, 348, 12772, 353, 4443, 289, 12194, 74, 1119, 67, 25, 17, 1273, 12194, 353, 275, 10866, 22433, 18, 39, 349, 39102, 3324, 17, 332, 353, 275, 3776, 1864, 302, 275, 726, 17, 313, 353, 275, 4923, 3312, 17, 329, 318, 353, 275, 318, 8017, 3735, 19, 0, 647, 2164, 204, 647, 1875, 204, 647, 1400, 204, 647, 690, 204, 531, 10650, 25, 532, 5322, 204, 531, 7124, 19, 1443, 532, 7242, 204, 531, 5567, 532, 4942, 204, 647, 304, 204, 647, 5004, 204, 647, 9586, 204, 647, 7124, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 461, 636, 68, 9660, 68, 579, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 273, 1400, 7852, 3877, 497, 610, 323, 10284, 6033, 19, 1453, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 7852, 3877, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1274, 329, 3496, 348, 275, 824, 204, 264, 1779, 289, 379, 1942, 1963, 4537, 19, 10359, 10284, 6033, 19, 1453, 9248, 204, 264, 3496, 289, 463, 204, 268, 379, 2491, 18, 9282, 597, 379, 17094, 20, 26, 19, 21, 322, 10184, 18880, 931, 19, 21, 32, 17492, 2562, 32, 610, 2562, 14, 21738, 20, 14084, 19, 3701, 322, 21413, 17, 2090, 18996, 14, 7099, 20, 8867, 19, 21, 19, 22556, 23, 19, 8867, 20781, 20, 14084, 19, 3701, 12, 204, 264, 1211, 204, 204, 264, 314, 2878, 273, 824, 311, 275, 1274, 329, 636, 275, 958, 204, 264, 824, 289, 7242, 13, 805, 17, 3496, 34, 5093, 14, 204, 264, 958, 289, 7124, 19, 1443, 19, 21526, 13, 1443, 14, 204, 204, 264, 314, 2735, 275, 2966, 1666, 974, 5322, 204, 264, 10650, 68, 3470, 289, 5322, 13, 1935, 17, 379, 23249, 534, 204, 204, 264, 314, 763, 273, 458, 302, 3877, 8426, 497, 275, 5322, 726, 204, 264, 6344, 68, 655, 289, 636, 68, 579, 68, 655, 13, 4451, 68, 3470, 14, 204, 204, 264, 314, 5988, 273, 1400, 3877, 1995, 497, 275, 458, 204, 264, 1400, 68, 579, 289, 379, 1942, 1963, 12, 465, 1400, 19, 4352, 13, 579, 68, 655, 14, 204, 204, 264, 314, 455, 275, 7852, 3877, 448, 273, 955, 204, 264, 407, 2552, 1942, 597, 1400, 68, 579, 98, 204, 204, 461, 636, 68, 579, 68, 655, 13, 4451, 68, 3470, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 3877, 8426, 497, 275, 5322, 726, 19, 204, 204, 264, 457, 31, 204, 268, 10650, 68, 3470, 322, 18091, 330, 334, 5322, 726, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 3877, 8426, 19, 204, 264, 320, 204, 264, 314, 1752, 830, 1435, 3015, 440, 850, 379, 11230, 12, 204, 264, 6344, 68, 492, 289, 10650, 68, 3470, 19, 2269, 68, 668, 611, 997, 491, 2552, 676, 597, 379, 11230, 10419, 204, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3877, 8426, 204, 264, 6344, 68, 655, 289, 1306, 204, 204, 264, 314, 1861, 1048, 848, 1435, 1237, 204, 264, 348, 1237, 292, 6344, 68, 492, 31, 204, 268, 314, 1752, 830, 1435, 424, 292, 275, 1237, 204, 268, 6344, 68, 3709, 289, 1237, 19, 2269, 68, 668, 611, 8171, 534, 204, 204, 268, 314, 1986, 275, 3877, 1995, 329, 2054, 204, 268, 6344, 68, 898, 289, 6344, 68, 3709, 64, 22, 1664, 505, 68, 492, 374, 465, 46105, 465, 6344, 68, 3709, 64, 23, 1664, 505, 68, 492, 374, 204, 204, 268, 314, 1255, 275, 3877, 1995, 311, 275, 458, 204, 268, 6344, 68, 655, 19, 1223, 13, 579, 68, 898, 14, 204, 204, 264, 314, 455, 275, 458, 302, 3877, 8426, 204, 264, 407, 6344, 68, 655, 204, 204, 461, 636, 68, 1803, 68, 5982, 13, 11415, 31, 394, 17, 5165, 31, 421, 289, 500, 14, 393, 443, 31, 204, 264, 320, 204, 264, 763, 1813, 7192, 497, 311, 312, 27713, 19, 1453, 19, 204, 204, 264, 457, 31, 204, 268, 4541, 322, 325, 330, 334, 1813, 4541, 19, 204, 268, 5165, 322, 339, 330, 334, 5165, 348, 15096, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 2067, 204, 264, 2067, 289, 2164, 19, 5191, 374, 204, 204, 264, 314, 968, 275, 3496, 348, 275, 824, 204, 264, 3496, 289, 463, 204, 268, 379, 2491, 18, 9282, 597, 379, 17094, 20, 26, 19, 21, 322, 61, 1641, 32, 19368, 610, 7745, 68, 2562, 14, 21738, 20, 14084, 19, 3701, 322, 21413, 17, 2090, 18996, 14, 7099, 20, 8667, 19, 21, 19, 2188, 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, 4734, 19, 13151, 20781, 20, 14084, 19, 3701, 491, 204, 268, 379, 5064, 597, 379, 11472, 18, 15284, 491, 204, 268, 379, 42242, 597, 379, 4537, 19, 89, 607, 27713, 19, 1453, 491, 204, 268, 379, 26852, 270, 597, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 24605, 11415, 2508, 11415, 7068, 204, 268, 379, 1939, 597, 379, 5016, 491, 204, 268, 379, 546, 597, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 24605, 11415, 2508, 11415, 7068, 204, 268, 379, 16576, 597, 379, 3189, 12, 204, 264, 1211, 204, 204, 264, 314, 1716, 275, 2067, 3496, 204, 264, 2067, 19, 5093, 19, 2045, 13, 5093, 14, 204, 204, 264, 314, 968, 275, 1274, 348, 275, 824, 204, 264, 13002, 68, 805, 289, 283, 7, 3189, 1963, 4537, 19, 89, 607, 27713, 19, 1453, 20, 1803, 68, 2387, 24605, 5911, 2508, 5911, 14329, 2478, 34, 1775, 11, 11415, 2508, 11415, 14329, 4881, 986, 34, 4855, 11, 765, 34, 1036, 11, 712, 68, 7234, 34, 22, 11, 531, 34, 1803, 68, 7234, 7, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 440, 273, 7852, 3877, 204, 268, 13002, 289, 2067, 19, 505, 13, 5711, 68, 805, 17, 18670, 34, 505, 68, 9660, 68, 579, 1447, 204, 204, 268, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 13002, 19, 4952, 68, 1538, 68, 1835, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1198, 437, 908, 943, 397, 275, 824, 4737, 204, 268, 456, 13, 75, 7, 2862, 5585, 31, 463, 74, 743, 204, 268, 407, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 424, 289, 1875, 19, 5569, 13, 5711, 19, 492, 14, 204, 204, 264, 314, 1198, 275, 958, 424, 204, 264, 456, 13, 481, 14, 204, 204, 264, 314, 778, 397, 1422, 529, 1182, 1563, 204, 264, 397, 424, 736, 4753, 68, 9859, 839, 564, 368, 31, 204, 268, 314, 5730, 348, 273, 1400, 690, 1283, 571, 329, 720, 3331, 204, 268, 690, 19, 4867, 13, 2017, 19, 2017, 374, 540, 435, 465, 571, 14, 204, 204, 268, 314, 8276, 2428, 275, 741, 440, 275, 1682, 5165, 204, 268, 636, 68, 1803, 68, 5982, 13, 11415, 17, 5165, 465, 1199, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 4889, 275, 741, 440, 275, 4541, 379, 83, 10593, 1257, 12, 204, 264, 636, 68, 1803, 68, 5982, 611, 83, 10593, 1257, 534, 204, 0, 647, 690, 204, 531, 1498, 532, 783, 17, 1884, 17, 1535, 204, 531, 1264, 24, 532, 45739, 14181, 17, 4253, 17, 4275, 17, 36433, 204, 531, 2454, 532, 23021, 17, 5925, 204, 204, 676, 25854, 39132, 31, 204, 264, 320, 38, 850, 311, 13541, 7045, 1025, 273, 1883, 496, 618, 444, 1376, 560, 275, 2747, 24, 7815, 426, 419, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 8123, 31, 783, 64, 325, 648, 724, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 25854, 39132, 440, 275, 800, 8123, 329, 724, 700, 19, 204, 204, 268, 457, 31, 204, 268, 8123, 322, 1218, 64, 325, 1037, 334, 458, 302, 2220, 2724, 19, 204, 268, 724, 322, 339, 330, 334, 724, 700, 19, 204, 268, 320, 204, 268, 370, 19, 15252, 289, 8123, 204, 268, 370, 19, 80, 289, 724, 204, 268, 370, 19, 4415, 68, 655, 289, 1306, 204, 204, 264, 436, 2736, 68, 44999, 68, 22038, 13, 327, 14, 393, 726, 31, 204, 268, 320, 44575, 275, 31667, 2089, 1279, 204, 268, 314, 5581, 302, 2736, 68, 44999, 68, 22038, 204, 204, 264, 436, 2736, 68, 6814, 68, 10856, 13, 327, 17, 4094, 31, 783, 64, 325, 648, 353, 68, 6418, 31, 1109, 14, 393, 726, 31, 204, 268, 320, 204, 268, 6071, 275, 4094, 6120, 19, 204, 204, 268, 457, 31, 204, 268, 4094, 322, 1218, 64, 325, 1037, 334, 4094, 311, 1900, 275, 6120, 348, 19, 204, 268, 353, 68, 6418, 322, 2107, 330, 2266, 275, 4094, 353, 2140, 521, 2917, 19, 204, 204, 268, 475, 31, 204, 268, 726, 31, 334, 4489, 6120, 19, 204, 268, 320, 204, 268, 314, 5581, 302, 2736, 68, 6814, 68, 10856, 204, 204, 264, 436, 1900, 68, 8313, 68, 10856, 13, 327, 14, 393, 726, 31, 204, 268, 320, 44575, 275, 4610, 6120, 1279, 204, 268, 314, 5581, 302, 1900, 68, 8313, 68, 10856, 204, 204, 264, 436, 456, 68, 8313, 68, 1867, 68, 765, 13, 327, 14, 393, 443, 31, 204, 268, 320, 27145, 275, 4610, 1435, 1040, 1279, 204, 268, 314, 5581, 302, 456, 68, 8313, 68, 1867, 68, 765, 204, 204, 461, 1151, 68, 553, 13, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 758, 744, 204, 264, 320, 204, 264, 4143, 273, 510, 329, 2584, 273, 458, 302, 7045, 329, 273, 758, 302, 2220, 2724, 19, 204, 204, 264, 457, 31, 204, 264, 832, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 758, 744, 332, 927, 1174, 273, 458, 302, 7045, 329, 273, 758, 302, 2220, 2724, 19, 204, 264, 320, 204, 264, 7045, 289, 1306, 204, 264, 2220, 68, 8485, 289, 758, 374, 204, 264, 440, 1451, 13, 546, 14, 448, 510, 31, 204, 268, 348, 1007, 292, 510, 31, 204, 305, 1007, 289, 1007, 19, 2892, 374, 204, 305, 4094, 289, 1007, 19, 1590, 22620, 204, 305, 7045, 19, 1223, 13, 6814, 14, 204, 305, 2220, 68, 8485, 19, 2045, 13, 6814, 14, 204, 264, 407, 7045, 17, 2220, 68, 8485, 204, 204, 461, 636, 68, 6418, 68, 416, 68, 4721, 68, 10397, 13, 1075, 68, 546, 31, 394, 17, 7521, 68, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 2140, 329, 2917, 7045, 497, 275, 800, 1860, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 546, 322, 325, 330, 334, 832, 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, 2140, 7045, 510, 19, 204, 264, 7521, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2917, 7045, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 1050, 68, 10397, 17, 1050, 68, 5271, 68, 8485, 289, 1151, 68, 553, 13, 1075, 68, 546, 14, 204, 264, 7521, 68, 10397, 17, 7521, 68, 5271, 68, 8485, 289, 1151, 68, 553, 13, 10349, 68, 546, 14, 204, 264, 2220, 68, 8485, 289, 2282, 13, 655, 13, 1075, 68, 5271, 68, 8485, 2343, 7521, 68, 5271, 68, 8485, 602, 204, 264, 407, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 204, 204, 461, 636, 68, 6418, 68, 10397, 13, 553, 68, 546, 31, 394, 14, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 2140, 7045, 497, 275, 800, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 7045, 17, 2220, 68, 8485, 289, 1151, 68, 553, 13, 553, 68, 546, 14, 204, 264, 407, 7045, 17, 2282, 13, 655, 13, 5271, 68, 8485, 602, 204, 204, 461, 1900, 68, 22038, 13, 1075, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 7521, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 24994, 31, 25854, 39132, 14, 393, 726, 31, 204, 264, 320, 204, 264, 6071, 275, 2089, 1609, 523, 275, 2140, 329, 2917, 7045, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2140, 7045, 19, 204, 264, 7521, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2917, 7045, 19, 204, 264, 24994, 322, 32165, 39132, 330, 334, 25854, 39132, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 726, 31, 334, 4489, 2089, 19, 204, 264, 320, 204, 264, 314, 31667, 2089, 204, 264, 303, 68, 22038, 289, 24994, 19, 2721, 68, 44999, 68, 22038, 374, 204, 264, 314, 2140, 7045, 393, 6120, 204, 264, 348, 4094, 292, 1050, 68, 10397, 31, 204, 268, 406, 289, 24994, 204, 268, 406, 19, 2721, 68, 6814, 68, 10856, 13, 6814, 17, 959, 14, 204, 615, 264, 24994, 19, 2102, 68, 8313, 68, 1867, 68, 765, 374, 204, 204, 264, 2089, 68, 1075, 289, 24994, 19, 4776, 68, 8313, 68, 10856, 374, 204, 264, 314, 2917, 7045, 393, 6120, 716, 264, 2089, 68, 10349, 68, 655, 289, 551, 41841, 14181, 13, 1021, 2395, 204, 264, 348, 4094, 292, 7521, 68, 10397, 31, 204, 268, 406, 289, 24994, 204, 268, 406, 68, 5491, 289, 406, 19, 2721, 68, 6814, 68, 10856, 13, 6814, 17, 1078, 14, 204, 268, 2089, 68, 10349, 68, 655, 19, 1223, 13, 2204, 13, 274, 68, 5491, 602, 204, 264, 2089, 68, 10349, 289, 4253, 13, 22038, 68, 10349, 68, 655, 14, 204, 264, 314, 830, 6120, 204, 264, 2089, 289, 4253, 13, 73, 68, 22038, 17, 2089, 68, 1075, 17, 2089, 68, 10349, 14, 204, 264, 407, 2089, 204, 204, 461, 2616, 68, 22038, 13, 22038, 31, 726, 14, 393, 443, 31, 204, 264, 320, 204, 264, 23093, 275, 800, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 2089, 322, 1386, 330, 334, 2089, 311, 2616, 19, 204, 264, 320, 204, 264, 11355, 289, 36433, 374, 204, 264, 11355, 19, 826, 13, 22038, 14, 204, 264, 722, 289, 11355, 19, 2555, 374, 204, 264, 397, 394, 13, 1300, 14, 564, 388, 15512, 559, 204, 268, 309, 289, 11355, 19, 809, 374, 204, 268, 397, 1245, 13, 32165, 39132, 19, 15252, 14, 962, 571, 329, 25854, 39132, 19, 80, 962, 571, 31, 204, 305, 348, 376, 292, 25854, 39132, 19, 4415, 68, 655, 31, 204, 485, 456, 24833, 2829, 14761, 2478, 13, 91, 17, 309, 64, 91, 4513, 204, 264, 1677, 394, 13, 1300, 14, 564, 388, 8734, 269, 559, 204, 268, 456, 499, 6217, 33966, 431, 204, 204, 461, 1660, 22, 13, 1075, 68, 546, 31, 394, 17, 7521, 68, 546, 31, 1535, 64, 325, 694, 393, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 204, 264, 320, 204, 264, 4143, 275, 537, 1860, 329, 2584, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2140, 7045, 510, 19, 204, 264, 7521, 68, 546, 322, 4437, 64, 325, 1037, 334, 832, 311, 275, 2917, 7045, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1218, 64, 1218, 64, 325, 4395, 783, 64, 1218, 64, 325, 4395, 783, 64, 325, 2440, 332, 927, 1174, 275, 2140, 7045, 17, 2917, 7045, 17, 329, 2220, 2724, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 397, 7521, 68, 546, 353, 443, 31, 204, 268, 1050, 68, 10397, 17, 2220, 68, 8485, 289, 636, 68, 6418, 68, 10397, 13, 1075, 68, 546, 14, 204, 268, 7521, 68, 10397, 289, 1306, 204, 264, 902, 31, 204, 268, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 289, 636, 68, 6418, 68, 416, 68, 4721, 68, 10397, 13, 1075, 68, 546, 17, 7521, 68, 546, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 22, 14283, 3096, 31, 8123, 36981, 1050, 68, 10397, 36981, 7521, 68, 10397, 36981, 690, 2264, 31, 22211, 25, 75, 14303, 2478, 13, 1796, 13, 5271, 68, 8485, 659, 1245, 13, 1075, 68, 10397, 659, 1245, 13, 10349, 68, 10397, 659, 322, 409, 18, 1530, 3694, 204, 264, 407, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 204, 204, 461, 1660, 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, 13, 1075, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 7521, 68, 10397, 31, 783, 64, 1218, 64, 325, 4395, 2220, 68, 8485, 31, 783, 64, 325, 648, 724, 31, 421, 14, 393, 726, 31, 204, 264, 320, 204, 264, 1865, 275, 25854, 39132, 329, 12015, 275, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 1050, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2140, 7045, 19, 204, 264, 7521, 68, 10397, 322, 1218, 64, 1218, 64, 325, 3795, 334, 458, 302, 2917, 7045, 19, 204, 264, 2220, 68, 8485, 322, 1218, 64, 325, 1037, 334, 458, 302, 2220, 2724, 19, 204, 264, 724, 322, 339, 330, 334, 724, 700, 19, 204, 204, 264, 475, 31, 204, 264, 726, 31, 334, 4489, 2089, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 24994, 289, 25854, 39132, 13, 5271, 68, 8485, 17, 724, 14, 204, 264, 2089, 289, 1900, 68, 22038, 13, 1075, 68, 10397, 17, 7521, 68, 10397, 17, 24994, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 23, 35396, 9964, 48423, 31, 8123, 36981, 1050, 68, 10397, 36981, 7521, 68, 10397, 36981, 690, 2264, 31, 22211, 25, 75, 14303, 2478, 13, 1796, 13, 5271, 68, 8485, 659, 1245, 13, 1075, 68, 10397, 659, 1245, 13, 10349, 68, 10397, 659, 322, 409, 18, 1530, 3694, 204, 264, 407, 2089, 204, 204, 461, 1660, 24, 13, 22038, 31, 726, 14, 393, 443, 31, 204, 264, 320, 204, 264, 23093, 275, 800, 2089, 19, 204, 204, 264, 457, 31, 204, 264, 2089, 322, 1386, 330, 334, 2089, 311, 2616, 19, 204, 264, 320, 204, 264, 1012, 289, 690, 19, 834, 374, 204, 264, 2616, 68, 22038, 13, 22038, 14, 204, 264, 1136, 289, 690, 19, 834, 374, 204, 264, 456, 499, 2290, 24, 387, 4755, 59, 3096, 31, 724, 36981, 8123, 36981, 690, 2264, 31, 22211, 25, 75, 98, 88, 2948, 2478, 13, 32165, 39132, 19, 80, 17, 1245, 13, 32165, 39132, 19, 15252, 659, 322, 409, 18, 1530, 3694, 204, 204, 461, 2252, 68, 4983, 374, 393, 1884, 64, 325, 17, 1535, 64, 325, 648, 421, 744, 204, 264, 320, 204, 264, 9246, 275, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 325, 17, 1535, 64, 325, 648, 421, 744, 332, 927, 1174, 275, 2140, 7045, 510, 832, 17, 2917, 7045, 510, 832, 17, 329, 724, 700, 19, 204, 264, 320, 204, 264, 2571, 72, 289, 1245, 13, 4983, 14, 204, 264, 397, 2571, 72, 2186, 435, 521, 2571, 72, 3721, 720, 31, 204, 268, 456, 499, 12534, 31, 5415, 14018, 68, 15564, 19, 948, 1050, 68, 546, 17, 724, 431, 204, 268, 456, 499, 521, 5415, 14018, 68, 15564, 19, 948, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 431, 204, 268, 5925, 13, 21, 14, 204, 204, 264, 1050, 68, 546, 289, 23021, 64, 22, 66, 204, 264, 7521, 68, 546, 289, 443, 204, 264, 397, 1245, 13, 4983, 14, 564, 681, 31, 204, 268, 7521, 68, 546, 289, 23021, 64, 23, 66, 204, 204, 264, 724, 289, 421, 13, 4983, 3327, 22, 694, 204, 264, 407, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 204, 204, 461, 1523, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 2548, 19, 204, 264, 320, 204, 264, 1050, 68, 546, 17, 7521, 68, 546, 17, 724, 289, 2252, 68, 4983, 374, 204, 264, 1050, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 289, 1660, 22, 13, 1075, 68, 546, 17, 7521, 68, 546, 14, 204, 264, 2089, 289, 1660, 23, 13, 1075, 68, 10397, 17, 7521, 68, 10397, 17, 2220, 68, 8485, 17, 724, 14, 204, 264, 397, 1245, 13, 5271, 68, 8485, 14, 962, 571, 329, 724, 962, 571, 31, 204, 268, 456, 13, 22038, 14, 204, 264, 1660, 24, 13, 22038, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1523, 374, 204, 0, 531, 4305, 532, 14131, 204, 204, 461, 1020, 68, 10057, 68, 1205, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1277, 302, 275, 15979, 6596, 292, 275, 4048, 2355, 302, 368, 20, 83, 19, 204, 204, 264, 457, 31, 204, 264, 300, 322, 339, 330, 334, 5081, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1277, 302, 275, 15979, 6596, 19, 475, 338, 22, 397, 1422, 353, 1236, 15979, 6596, 19, 204, 264, 320, 204, 264, 314, 778, 397, 300, 353, 2962, 311, 4516, 4854, 560, 2962, 908, 204, 264, 397, 300, 564, 500, 31, 204, 268, 980, 9651, 499, 10219, 3281, 560, 2962, 431, 204, 204, 264, 314, 977, 273, 955, 311, 1640, 275, 25230, 329, 1017, 3310, 3265, 204, 264, 25230, 289, 2087, 204, 264, 6576, 289, 368, 1564, 300, 204, 264, 1502, 289, 500, 204, 204, 264, 314, 13818, 3119, 572, 1020, 273, 15979, 6576, 521, 275, 6576, 6401, 2962, 204, 264, 1335, 6576, 508, 292, 25230, 329, 6576, 2167, 500, 31, 204, 268, 314, 6993, 275, 790, 6576, 329, 1163, 1502, 204, 268, 25230, 64, 19949, 66, 289, 1502, 204, 268, 314, 1716, 275, 6576, 204, 268, 6576, 289, 322, 1003, 540, 6576, 14, 1564, 300, 204, 268, 314, 7415, 275, 1502, 204, 268, 1502, 1412, 368, 204, 204, 264, 314, 828, 275, 6576, 353, 2962, 17, 1422, 353, 1236, 15979, 6596, 204, 264, 397, 6576, 564, 500, 31, 204, 268, 407, 338, 22, 204, 264, 314, 9444, 17, 407, 275, 1277, 302, 275, 15979, 6596, 204, 264, 902, 31, 204, 268, 407, 1502, 338, 25230, 64, 19949, 66, 204, 204, 204, 676, 1295, 31197, 10746, 13, 5418, 330, 204, 264, 320, 204, 264, 1295, 1322, 348, 275, 1020, 68, 10057, 68, 1205, 741, 19, 204, 264, 320, 204, 264, 436, 683, 68, 2269, 68, 10057, 68, 1205, 13, 327, 330, 204, 268, 320, 204, 268, 1295, 275, 1020, 68, 10057, 68, 1205, 741, 440, 4109, 3806, 19, 204, 268, 320, 204, 268, 314, 1295, 2910, 440, 1812, 6360, 204, 268, 683, 68, 3871, 289, 551, 204, 305, 322, 24, 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, 368, 659, 204, 305, 322, 3268, 17, 435, 659, 204, 305, 322, 2132, 27015, 17, 338, 22, 659, 204, 305, 322, 9579, 17, 5436, 659, 204, 305, 322, 36218, 17, 15804, 659, 204, 305, 322, 4452, 17, 338, 22, 659, 204, 305, 322, 5839, 17, 13748, 659, 204, 305, 322, 1794, 17, 1916, 659, 204, 305, 322, 14362, 17, 571, 659, 204, 305, 322, 9287, 17, 2989, 659, 204, 305, 322, 9032, 17, 14478, 659, 204, 305, 322, 7723, 17, 2153, 659, 204, 305, 322, 9320, 17, 2247, 659, 204, 305, 322, 22370, 17, 2989, 659, 204, 305, 322, 38165, 17, 3382, 659, 204, 305, 322, 36218, 17, 15804, 659, 204, 305, 322, 27498, 17, 40640, 659, 204, 305, 322, 6655, 17, 338, 22, 659, 204, 305, 322, 29501, 17, 1916, 659, 204, 305, 322, 23, 35913, 2353, 17, 15503, 4832, 659, 204, 305, 322, 5049, 10779, 17, 15338, 2188, 659, 204, 305, 322, 7698, 1909, 7879, 17, 1168, 4635, 659, 204, 305, 322, 2898, 1641, 7723, 17, 5924, 1003, 659, 204, 305, 322, 16298, 5645, 17, 34934, 1036, 14, 204, 268, 2437, 204, 204, 268, 348, 537, 68, 876, 17, 1812, 68, 1420, 292, 683, 68, 3871, 31, 204, 305, 370, 19, 2978, 13, 2269, 68, 10057, 68, 1205, 13, 768, 68, 876, 659, 1812, 68, 1420, 14, 204, 204, 264, 436, 683, 68, 17529, 68, 1424, 68, 5306, 13, 327, 330, 204, 268, 320, 204, 268, 1295, 496, 275, 741, 10036, 273, 9651, 1330, 8631, 560, 2962, 19, 204, 268, 320, 204, 268, 440, 370, 19, 11164, 13, 23194, 9369, 330, 204, 305, 1020, 68, 10057, 68, 1205, 13, 21, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 4305, 204, 264, 4305, 19, 660, 374, 204, 0, 461, 949, 68, 2626, 68, 1205, 13, 2626, 31, 458, 1152, 927, 1152, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1277, 302, 273, 1767, 322, 655, 17, 927, 17, 521, 782, 789, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 1152, 927, 1152, 394, 330, 334, 1767, 311, 949, 275, 1277, 302, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1277, 302, 275, 1767, 17, 521, 443, 397, 275, 537, 353, 508, 273, 1767, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 778, 397, 275, 537, 353, 273, 1767, 204, 268, 397, 508, 2381, 13, 2626, 17, 322, 655, 17, 927, 17, 394, 4019, 204, 305, 980, 3660, 499, 3383, 353, 508, 273, 1767, 1280, 204, 822, 268, 314, 888, 275, 1277, 302, 275, 1767, 204, 268, 1277, 289, 1245, 13, 2626, 14, 204, 268, 407, 1277, 204, 264, 827, 3660, 448, 318, 31, 204, 268, 314, 1426, 275, 908, 397, 275, 537, 353, 508, 273, 1767, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 273, 458, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 66, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 458, 204, 264, 458, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 1630, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 458, 353, 31, 463, 655, 68, 1205, 743, 204, 204, 264, 314, 968, 273, 927, 204, 264, 927, 68, 2569, 289, 322, 1641, 17, 379, 3916, 534, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 927, 204, 264, 927, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 2644, 68, 2569, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 927, 353, 31, 463, 2644, 68, 1205, 743, 204, 204, 264, 314, 968, 273, 782, 204, 264, 782, 68, 2569, 289, 388, 5975, 17, 5179, 9851, 204, 615, 264, 314, 888, 329, 456, 275, 1277, 302, 275, 782, 204, 264, 782, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 1031, 68, 2569, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 782, 353, 31, 463, 1031, 68, 1205, 743, 204, 204, 264, 314, 1295, 440, 273, 1950, 18, 2626, 537, 204, 264, 1950, 68, 2626, 68, 768, 289, 12826, 204, 264, 1950, 68, 2626, 68, 1205, 289, 949, 68, 2626, 68, 1205, 13, 5198, 68, 2626, 68, 768, 14, 204, 264, 456, 13, 75, 7, 673, 1277, 302, 275, 1950, 18, 2626, 537, 353, 31, 463, 5198, 68, 2626, 68, 1205, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 40357, 720, 338, 1301, 368, 292, 4884, 3618, 204, 204, 3070, 437, 645, 83, 565, 47, 57, 311, 444, 292, 275, 4884, 3618, 17, 275, 2407, 353, 628, 10294, 962, 628, 15258, 271, 289, 500, 19, 25, 59, 19, 204, 204, 4377, 31, 204, 18, 29953, 289, 5106, 21325, 204, 18, 628, 6622, 289, 720, 59, 204, 18, 10125, 289, 887, 19, 4957, 11720, 1003, 7218, 1845, 14, 332, 204, 18, 12774, 289, 1607, 204, 18, 628, 57, 289, 2019, 82, 59, 204, 204, 1449, 1020, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 17, 572, 1519, 311, 4897, 496, 275, 39881, 353, 508, 292, 23911, 19, 204, 204, 673, 20237, 790, 322, 3225, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 3225, 289, 12774, 540, 38806, 204, 204, 673, 1034, 790, 322, 34946, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 34946, 289, 322, 59, 15258, 338, 500, 19, 28, 14, 802, 322, 10330, 465, 5882, 14, 204, 204, 4237, 17, 3522, 5882, 353, 508, 800, 17, 572, 1120, 732, 275, 3718, 496, 628, 10294, 962, 628, 15258, 271, 289, 500, 19, 25, 59, 311, 1020, 275, 1646, 700, 302, 628, 15258, 19, 204, 204, 673, 20237, 18, 17406, 476, 6264, 322, 59, 4552, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 59, 4552, 289, 628, 6622, 338, 26848, 540, 29953, 204, 204, 1449, 4897, 496, 275, 39881, 353, 508, 292, 23911, 17, 628, 4552, 1856, 444, 3114, 1194, 500, 19, 25, 59, 19, 204, 204, 3661, 677, 5257, 496, 628, 15258, 289, 500, 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, 28, 59, 19, 5512, 17, 275, 20237, 790, 322, 3225, 14, 618, 444, 3392, 974, 275, 1581, 31, 204, 3225, 289, 10125, 540, 318, 6023, 59, 15258, 20, 45841, 14, 540, 322, 22, 465, 628, 4552, 20, 11381, 14, 204, 204, 4592, 36785, 353, 508, 800, 17, 572, 1120, 5257, 496, 490, 353, 3060, 3403, 19, 204, 204, 3225, 289, 10125, 540, 318, 6023, 59, 15258, 20, 45841, 14, 204, 34, 887, 19, 4957, 11720, 1003, 7218, 1845, 14, 540, 318, 6023, 21, 19, 28, 20, 21, 19, 24420, 14, 204, 34, 435, 19, 3268, 35652, 204, 204, 4063, 17, 572, 618, 949, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 19, 204, 204, 59, 4552, 289, 628, 6622, 338, 26848, 540, 29953, 204, 34, 720, 338, 435, 19, 3268, 35652, 540, 5106, 204, 34, 571, 19, 29, 4049, 628, 204, 204, 4592, 628, 4552, 1323, 500, 19, 25, 59, 17, 275, 39881, 353, 508, 292, 23911, 19, 204, 204, 4063, 17, 2249, 677, 949, 275, 1646, 700, 302, 628, 15258, 19, 204, 204, 59, 10294, 289, 628, 15258, 338, 628, 4552, 204, 34, 628, 15258, 338, 571, 19, 29, 4049, 204, 204, 1449, 4897, 496, 275, 39881, 353, 292, 4884, 3618, 17, 628, 10294, 962, 500, 19, 25, 59, 19, 204, 204, 59, 15258, 338, 571, 19, 29, 4049, 962, 500, 19, 25, 204, 59, 15258, 962, 681, 19, 28416, 204, 204, 4356, 17, 275, 1646, 700, 302, 628, 15258, 496, 34658, 275, 2661, 302, 1301, 22, 292, 4884, 3618, 353, 5387, 681, 19, 28416, 59, 338, 500, 19, 28, 59, 289, 571, 19, 26, 4049, 59, 322, 31869, 299, 275, 13713, 700, 302, 628, 15258, 289, 500, 19, 28, 59, 348, 273, 33405, 39881, 659, 1101, 3522, 275, 13713, 700, 302, 628, 15258, 353, 3332, 500, 19, 28, 59, 17, 275, 1646, 700, 1120, 444, 2202, 1194, 808, 329, 3671, 311, 500, 19, 28, 59, 465, 500, 19, 25, 59, 289, 368, 19, 22, 59, 19, 716, 204, 4237, 17, 275, 4710, 700, 302, 1646, 628, 15258, 618, 444, 1193, 560, 974, 275, 471, 11822, 18, 50, 7774, 570, 302, 275, 39881, 329, 353, 800, 560, 31, 204, 59, 15258, 13, 1129, 14, 289, 500, 19, 28, 465, 500, 19, 25, 289, 368, 19, 22, 59, 716, 204, 27331, 17, 275, 1646, 700, 302, 628, 15258, 353, 5387, 368, 19, 22, 59, 19, 0, 647, 2164, 204, 531, 1804, 532, 1804, 204, 531, 4433, 532, 2111, 68, 3143, 17, 824, 204, 204, 531, 5583, 532, 740, 204, 531, 5583, 19, 15516, 532, 3226, 7793, 204, 531, 5583, 19, 3968, 532, 26760, 204, 531, 10608, 19, 7491, 532, 1137, 68, 4120, 204, 204, 8, 968, 3454, 348, 3312, 21718, 204, 48, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 289, 24413, 19, 1909, 204, 24519, 1815, 3322, 68, 4403, 68, 3637, 45, 24510, 4687, 2229, 289, 1233, 20, 26, 204, 204, 461, 636, 68, 8670, 68, 481, 13, 5419, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 5583, 424, 348, 275, 800, 3226, 497, 275, 43975, 1893, 19, 204, 204, 264, 457, 31, 204, 268, 3226, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3226, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 5583, 424, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 329, 2072, 204, 264, 1779, 289, 388, 1942, 1963, 2005, 19, 3664, 8670, 1608, 19, 4563, 20, 481, 20, 23, 19, 26, 20, 8670, 7, 204, 264, 3737, 289, 463, 204, 268, 388, 86, 559, 3226, 68, 417, 17, 204, 268, 388, 49097, 559, 1137, 68, 4120, 499, 4093, 528, 388, 644, 431, 204, 264, 1211, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 17, 3737, 34, 2645, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1426, 1893, 824, 2744, 204, 268, 740, 19, 3342, 19, 718, 13, 75, 7, 596, 9933, 5583, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1352, 68, 8670, 68, 481, 13, 8670, 68, 481, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 9506, 275, 5583, 424, 329, 15943, 6826, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 5583, 68, 481, 322, 873, 330, 332, 955, 1174, 275, 5583, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 4050, 5583, 424, 19, 204, 264, 320, 204, 264, 397, 5583, 68, 481, 353, 443, 31, 204, 268, 407, 443, 204, 204, 264, 314, 1986, 329, 1814, 3312, 1019, 204, 264, 846, 68, 3294, 68, 18761, 289, 5583, 68, 481, 736, 660, 4976, 3294, 68, 1129, 839, 338, 1144, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 204, 264, 846, 68, 3294, 68, 21262, 289, 846, 68, 3294, 68, 18761, 540, 346, 3668, 1815, 3322, 68, 4403, 68, 3637, 45, 24510, 4687, 2229, 465, 4236, 204, 264, 5506, 68, 3294, 68, 18761, 289, 5583, 68, 481, 736, 660, 4976, 2970, 961, 68, 4995, 839, 338, 1144, 3668, 59, 1143, 68, 4403, 68, 24519, 1815, 3322, 204, 204, 264, 314, 666, 273, 955, 440, 275, 4050, 5583, 424, 204, 264, 407, 463, 204, 268, 388, 5419, 417, 559, 959, 17, 204, 268, 388, 18761, 559, 4672, 13, 996, 13, 1129, 68, 3294, 68, 18761, 3917, 204, 268, 388, 672, 559, 1804, 19, 1520, 1528, 672, 2144, 204, 268, 388, 21262, 559, 4672, 13, 1129, 68, 3294, 68, 21262, 659, 204, 268, 388, 5419, 559, 5583, 68, 481, 736, 417, 2043, 204, 268, 388, 7199, 559, 5583, 68, 481, 736, 4807, 4976, 7199, 2043, 204, 268, 388, 2970, 404, 559, 4672, 13, 996, 13, 2970, 404, 68, 3294, 68, 18761, 3917, 204, 268, 388, 12953, 68, 5195, 559, 5583, 68, 481, 736, 12953, 4976, 5195, 2043, 204, 268, 388, 8670, 559, 5583, 68, 481, 736, 8670, 6970, 21, 6690, 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, 2749, 3750, 1778, 2144, 204, 268, 388, 14746, 559, 5583, 68, 481, 736, 660, 4976, 14746, 2043, 204, 268, 388, 21736, 559, 5583, 68, 481, 736, 660, 4976, 21736, 2043, 204, 268, 388, 22642, 559, 5583, 68, 481, 736, 22642, 839, 204, 264, 1211, 204, 204, 461, 636, 68, 2305, 68, 3348, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 475, 273, 955, 440, 1540, 1019, 348, 275, 5583, 2085, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 440, 1540, 1019, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 379, 672, 597, 1804, 19, 1520, 1528, 672, 2144, 204, 268, 388, 5419, 417, 559, 1078, 17, 204, 268, 379, 18761, 597, 379, 2438, 18, 4750, 204, 268, 379, 7199, 597, 379, 2438, 18, 4750, 204, 268, 388, 5419, 559, 379, 2438, 18, 4750, 204, 268, 379, 21262, 597, 379, 2438, 18, 4750, 204, 268, 379, 2970, 404, 597, 379, 2438, 18, 4750, 204, 268, 379, 12953, 68, 5195, 597, 379, 2438, 18, 4750, 204, 268, 379, 8670, 597, 379, 2438, 18, 4750, 204, 268, 379, 14746, 597, 379, 2438, 18, 4750, 204, 268, 379, 21736, 597, 379, 2438, 18, 4750, 204, 268, 379, 22642, 597, 379, 2438, 18, 9248, 204, 264, 1211, 204, 204, 37, 748, 19, 3955, 13, 11326, 736, 660, 68, 2225, 2043, 2986, 4980, 5016, 491, 379, 4252, 2378, 204, 37, 5419, 7793, 204, 461, 636, 68, 8670, 374, 393, 394, 31, 204, 264, 320, 204, 264, 5133, 4559, 329, 6379, 2164, 311, 275, 667, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2966, 2399, 19, 204, 264, 320, 204, 264, 314, 778, 397, 273, 3226, 588, 353, 1917, 292, 275, 824, 204, 264, 397, 824, 19, 1038, 19, 505, 499, 5419, 6471, 204, 268, 3226, 68, 417, 289, 824, 19, 1038, 19, 505, 499, 5419, 5561, 1778, 374, 204, 268, 5583, 68, 481, 289, 636, 68, 8670, 68, 481, 13, 5419, 68, 417, 14, 204, 268, 2085, 289, 1352, 68, 8670, 68, 481, 13, 8670, 68, 481, 14, 204, 264, 902, 31, 204, 268, 2085, 289, 636, 68, 2305, 68, 3348, 374, 204, 204, 264, 314, 4784, 275, 5583, 2399, 440, 275, 2085, 204, 264, 407, 2111, 68, 3143, 499, 8670, 19, 2079, 528, 2085, 34, 3348, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 13, 4561, 34, 1021, 14, 204, 0, 14206, 9764, 46436, 302, 12415, 204, 39547, 529, 13666, 275, 1901, 21050, 4193, 329, 1064, 2927, 17869, 302, 12415, 19, 204, 18, 412, 3901, 429, 10470, 552, 4340, 2317, 7149, 19700, 1678, 19, 32781, 15636, 309, 6497, 36203, 15683, 20839, 19, 1131, 275, 4450, 302, 10610, 309, 1422, 353, 273, 5789, 309, 2482, 20300, 2317, 334, 10267, 17, 6043, 685, 311, 275, 1451, 8469, 19, 1058, 20386, 4193, 2852, 869, 13861, 1910, 21216, 1291, 17, 20825, 7740, 680, 1147, 43051, 311, 275, 4245, 19, 204, 18, 4613, 14118, 9401, 5267, 2317, 3537, 15955, 19, 368, 17, 25, 4049, 309, 14977, 21518, 2317, 11512, 287, 13450, 17, 275, 1698, 4193, 8525, 2706, 292, 12415, 19, 1058, 353, 25687, 8797, 15084, 440, 5487, 29, 4968, 4680, 329, 12787, 6555, 4680, 19, 592, 1910, 7777, 292, 275, 21518, 353, 11482, 4921, 302, 814, 638, 3418, 329, 40556, 19, 1131, 3406, 1051, 44684, 4680, 302, 6415, 2317, 565, 360, 3533, 32130, 731, 71, 32886, 19, 204, 18, 45497, 362, 28606, 1133, 2317, 2991, 18515, 19, 15656, 22694, 17, 2202, 1194, 720, 17, 1207, 2181, 3299, 5800, 46041, 19, 22748, 353, 10405, 19, 29, 309, 17, 4450, 2317, 2153, 19, 29, 309, 19, 35266, 275, 46041, 3848, 353, 9455, 275, 10987, 336, 4147, 1966, 560, 275, 26810, 19, 204, 18, 19845, 8495, 40423, 18515, 2317, 2991, 18515, 19, 592, 275, 15028, 1653, 302, 275, 11128, 19585, 15955, 618, 444, 1193, 8305, 302, 13598, 17, 25414, 8529, 8495, 12451, 322, 14829, 19779, 40423, 14, 2317, 275, 1698, 1702, 1020, 292, 275, 2688, 19, 15579, 1795, 8305, 529, 719, 311, 5789, 5279, 12292, 19, 1547, 869, 1742, 1376, 448, 273, 32967, 2861, 292, 27747, 12415, 19, 415, 7334, 24411, 1966, 560, 275, 5800, 302, 3403, 26082, 704, 19, 204, 18, 595, 28218, 2439, 18, 45, 12872, 2317, 472, 1678, 94, 328, 19, 13884, 447, 3287, 1020, 302, 36299, 302, 33678, 860, 1115, 302, 31189, 2317, 32125, 912, 310, 78, 19, 4171, 7160, 12208, 275, 2652, 497, 3623, 1609, 7160, 311, 12724, 18, 11561, 7160, 19, 15656, 22694, 36299, 529, 8441, 292, 25444, 21251, 16891, 19, 204, 18, 595, 28218, 9401, 22264, 291, 41255, 2317, 472, 1678, 94, 328, 19, 15579, 1795, 2263, 10561, 292, 12415, 17, 1627, 302, 11728, 12150, 523, 1429, 887, 2317, 931, 309, 6592, 10469, 19, 7867, 1853, 2202, 1194, 931, 309, 19, 204, 18, 595, 28218, 387, 1311, 298, 46947, 2317, 3537, 15955, 19, 334, 1901, 13654, 3556, 22588, 292, 12415, 17, 1093, 3409, 336, 440, 840, 280, 19513, 1015, 19, 46947, 353, 1429, 16106, 309, 2482, 19, 204, 2938, 2927, 17869, 204, 18, 392, 429, 530, 10581, 3620, 2317, 2991, 18515, 19, 25428, 5465, 292, 273, 798, 302, 3620, 17, 497, 3332, 7332, 473, 10355, 17, 15469, 275, 17294, 19590, 35428, 325, 8377, 787, 28802, 292, 2688, 19, 204, 18, 46947, 302, 7338, 449, 22155, 2317, 2991, 18515, 19, 48340, 1429, 931, 17, 1207, 2181, 3299, 22588, 1838, 11263, 23926, 1880, 19, 4682, 1163, 13209, 17334, 448, 273, 8864, 348, 432, 1261, 302, 7515, 3731, 19, 17801, 311, 490, 16189, 46947, 302, 275, 2695, 21048, 17, 440, 26275, 302, 641, 21048, 497, 13777, 2317, 28332, 10355, 19, 204, 2021, 7866, 26104, 7850, 204, 18, 332, 1424, 22441, 2317, 387, 2981, 616, 19, 27747, 3226, 17, 7634, 1182, 1194, 13777, 2181, 8518, 19, 5028, 302, 275, 1901, 3287, 10033, 2887, 33027, 1439, 292, 22558, 12415, 17, 3287, 5012, 13535, 19, 48340, 42776, 302, 12787, 44343, 11773, 17, 1702, 448, 275, 17653, 302, 1359, 78, 382, 19, 204, 18, 10432, 1941, 70, 2317, 5134, 12005, 19, 23205, 3226, 928, 867, 7634, 560, 3844, 42390, 26795, 3486, 269, 278, 3332, 2989, 9287, 10355, 329, 9759, 26613, 19, 8187, 867, 28329, 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, 717, 13709, 7634, 560, 26795, 3486, 269, 278, 19, 35553, 311, 1163, 3697, 3511, 17, 275, 11666, 302, 275, 3226, 869, 1742, 2590, 22694, 19, 48340, 11031, 1348, 302, 1838, 19458, 292, 10432, 1941, 70, 6060, 17, 928, 353, 1182, 28263, 1194, 275, 9293, 26104, 1838, 19, 204, 18, 502, 2779, 847, 2317, 47508, 19, 334, 1043, 7695, 302, 20974, 12415, 292, 275, 2666, 302, 13448, 20318, 19, 7948, 3764, 3332, 18133, 10355, 329, 29241, 19264, 630, 41033, 10355, 17, 867, 1051, 302, 275, 1043, 2887, 33027, 1439, 292, 275, 2688, 19, 48340, 40922, 1372, 302, 12787, 15646, 9901, 17, 2864, 4569, 24834, 88, 302, 415, 28458, 329, 1910, 904, 36825, 17, 9584, 22344, 11014, 507, 12831, 22571, 17, 23516, 12997, 33534, 19, 204, 18, 334, 7008, 2317, 12415, 17, 480, 6517, 276, 19, 4385, 270, 7695, 302, 12415, 292, 275, 2666, 302, 14531, 329, 2991, 8503, 45344, 17, 1051, 302, 275, 17338, 2887, 33027, 1439, 292, 275, 2688, 19, 592, 17543, 2197, 3332, 571, 2825, 10355, 2317, 13451, 10355, 19, 8187, 3192, 42776, 302, 12787, 11773, 302, 2688, 8622, 17, 2864, 275, 24834, 302, 22446, 890, 15623, 17, 361, 9482, 277, 328, 17, 480, 6517, 276, 24834, 17, 24834, 302, 552, 2103, 267, 2554, 312, 17, 45582, 302, 8925, 5198, 19, 204, 2021, 7866, 26104, 36825, 204, 18, 412, 2581, 70, 24834, 322, 5939, 527, 302, 552, 434, 276, 14, 2317, 1301, 17191, 19, 5028, 302, 275, 2765, 22694, 27747, 26104, 36825, 292, 12415, 19, 9881, 5343, 867, 5082, 292, 415, 633, 280, 365, 323, 2666, 17, 1101, 16189, 523, 275, 31774, 497, 275, 5789, 427, 2317, 2019, 427, 6129, 10355, 19, 8278, 867, 1193, 1264, 30655, 45530, 380, 19, 204, 18, 471, 1695, 90, 24834, 2317, 3242, 19505, 19, 15656, 22694, 17653, 17, 5082, 1283, 435, 4462, 329, 14811, 10355, 17, 275, 2765, 22694, 27747, 26104, 17653, 19, 204, 18, 552, 607, 18, 6473, 18, 53, 28458, 322, 45, 38142, 18, 41317, 18, 53, 530, 17, 11128, 24834, 302, 415, 28458, 14, 2317, 501, 33186, 19, 334, 1901, 3287, 17653, 302, 27747, 12415, 17, 28329, 311, 275, 13555, 302, 15597, 6971, 19, 1058, 867, 23980, 17653, 292, 275, 13535, 302, 502, 2779, 847, 19, 9419, 2709, 2842, 34708, 42776, 17, 1101, 3237, 1466, 10921, 3287, 47061, 17, 318, 19, 76, 19, 44343, 32496, 302, 297, 19202, 322, 21280, 38244, 10355, 659, 1792, 21108, 47061, 19, 471, 48382, 3403, 867, 275, 2958, 309, 2223, 329, 19736, 17128, 12292, 32496, 302, 361, 341, 6731, 8392, 19, 204, 18, 1144, 1941, 934, 24834, 12503, 2317, 480, 6517, 276, 19, 9139, 1679, 302, 1051, 302, 275, 667, 36825, 292, 275, 7695, 302, 27747, 12415, 17, 4794, 10033, 17653, 3700, 292, 275, 2688, 19, 17362, 2156, 302, 3420, 4376, 3576, 17, 1273, 275, 2680, 72, 6149, 302, 28219, 17, 2680, 72, 6149, 302, 18429, 90, 17, 24834, 302, 48292, 5705, 1558, 16605, 329, 275, 2765, 3556, 2317, 2680, 72, 6149, 302, 332, 9479, 18, 1252, 19, 24834, 867, 4884, 348, 4013, 278, 1257, 19, 48340, 12787, 27883, 3695, 17, 318, 19, 76, 19, 8501, 2288, 2859, 18085, 440, 38962, 16686, 2630, 17, 1273, 1598, 2630, 529, 4839, 309, 14977, 17, 440, 273, 8035, 1048, 2327, 6166, 19, 4161, 275, 1913, 302, 1605, 2630, 529, 6787, 17128, 12292, 4725, 286, 321, 1405, 19, 204, 18, 480, 6517, 276, 24834, 2317, 480, 6517, 276, 19, 9083, 24706, 42776, 302, 437, 10033, 17653, 17, 928, 867, 18321, 8489, 3332, 38244, 10355, 19, 5028, 302, 275, 667, 36825, 292, 275, 7695, 302, 27747, 12415, 19, 204, 18, 3983, 7375, 731, 18, 48, 31476, 449, 322, 5939, 527, 302, 552, 434, 276, 14, 2317, 7149, 19700, 1678, 19, 27747, 26104, 13618, 411, 21778, 23260, 329, 2852, 302, 275, 24834, 302, 552, 434, 276, 19, 8278, 874, 1742, 1193, 292, 1071, 1347, 302, 1158, 633, 18, 37367, 1836, 323, 3467, 2317, 15469, 275, 1043, 8123, 292, 275, 2688, 19, 204, 18, 24834, 302, 10432, 7132, 2317, 2991, 18515, 19, 334, 17294, 26104, 17653, 292, 392, 539, 1257, 17, 11352, 8489, 3332, 2905, 1719, 10355, 19, 48340, 357, 11182, 1399, 20918, 17712, 88, 19, 24834, 353, 10094, 5501, 1429, 435, 19, 26, 5437, 497, 1163, 2171, 2852, 3913, 311, 3242, 19505, 37572, 19, 204, 18, 24834, 302, 412, 934, 6473, 2317, 3242, 19505, 19, 13100, 395, 18, 37553, 17653, 17, 18042, 311, 313, 3570, 17, 6911, 292, 275, 571, 10988, 6129, 10355, 560, 392, 539, 4825, 329, 40623, 19, 31764, 560, 27456, 17, 1415, 5082, 273, 10581, 5999, 3332, 490, 19, 21743, 1425, 448, 273, 10927, 11575, 19, 5305, 1462, 311, 273, 717, 2481, 311, 4516, 275, 29900, 560, 3242, 19505, 37572, 19, 204, 18, 24834, 302, 412, 5823, 2317, 2991, 18515, 19, 1058, 11118, 18, 3533, 17653, 867, 5082, 292, 275, 2666, 302, 361, 341, 6731, 8392, 292, 20974, 392, 539, 1257, 19, 48340, 357, 11182, 1399, 20918, 17712, 88, 19, 791, 12106, 311, 273, 717, 2481, 292, 32964, 311, 4516, 275, 29900, 19, 204, 18, 24834, 302, 4208, 360, 523, 3844, 11671, 74, 2317, 3537, 15955, 19, 27747, 26104, 17653, 630, 275, 6867, 346, 10034, 773, 302, 37386, 4789, 3242, 19505, 17, 1283, 12415, 329, 392, 539, 1257, 19, 5128, 336, 1429, 15056, 10355, 329, 25851, 3119, 275, 887, 427, 6129, 9656, 19, 5424, 275, 5343, 302, 3242, 19505, 37572, 867, 33555, 311, 275, 15182, 13940, 302, 7379, 7817, 1257, 19, 204, 18, 24834, 302, 23628, 429, 11481, 2317, 3242, 19505, 19, 1628, 16744, 17653, 17, 5082, 3332, 2468, 10355, 19, 5028, 302, 275, 48738, 26104, 9901, 292, 392, 539, 1257, 17, 28329, 311, 39751, 335, 360, 2317, 392, 539, 1516, 13555, 302, 12536, 19, 48340, 11150, 10581, 2147, 41552, 19, 791, 12106, 19, 204, 18, 595, 28218, 3077, 18, 3047, 2142, 70, 322, 52, 90, 28218, 20289, 2135, 71, 493, 3901, 14, 2317, 3242, 19505, 19, 22759, 26104, 17653, 17, 5082, 292, 275, 2666, 302, 48292, 5705, 1558, 15623, 292, 20974, 392, 539, 1257, 17, 11586, 560, 361, 341, 6731, 8392, 19, 2208, 336, 1025, 273, 10927, 11575, 292, 275, 720, 427, 6129, 9656, 19, 791, 12106, 311, 4516, 275, 29900, 560, 3242, 19505, 37572, 17, 3192, 15646, 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, 17712, 88, 19, 204, 2021, 7866, 26104, 12818, 8306, 36825, 204, 1834, 458, 6019, 36825, 5082, 311, 376, 674, 316, 275, 38680, 1428, 42390, 88, 302, 12415, 19, 204, 18, 332, 2142, 4590, 14118, 36825, 2317, 3242, 19505, 19, 7609, 23980, 11118, 18, 3533, 36825, 17, 5082, 560, 1428, 42390, 361, 341, 6731, 8392, 292, 275, 2989, 427, 6129, 10355, 19, 791, 12106, 292, 275, 18098, 88, 523, 437, 1838, 403, 787, 19208, 311, 2106, 497, 275, 14803, 302, 3242, 19505, 37572, 28171, 19, 204, 18, 1998, 422, 731, 18, 39, 3901, 815, 322, 39295, 552, 2103, 267, 2554, 312, 884, 88, 24834, 14, 2317, 2991, 18515, 19, 12503, 302, 12818, 8306, 36825, 17, 5082, 3332, 45257, 2317, 41033, 10355, 19, 43277, 26549, 11118, 18, 3533, 17, 26549, 5082, 17, 23980, 9901, 19, 471, 48382, 29161, 329, 13654, 353, 275, 552, 2103, 267, 2554, 312, 884, 88, 24834, 322, 11714, 2760, 3332, 2905, 1719, 10355, 659, 1051, 302, 275, 4382, 31185, 302, 9590, 292, 275, 3511, 302, 9590, 19, 204, 18, 361, 9482, 277, 328, 2317, 480, 6517, 276, 19, 39248, 8306, 17653, 302, 3844, 42390, 361, 341, 6731, 8392, 19, 2649, 83, 1372, 302, 32496, 302, 1105, 77, 1816, 336, 1428, 42390, 17, 1433, 309, 2223, 329, 34157, 1182, 1194, 3861, 17128, 19, 15579, 1795, 33555, 10033, 10581, 1898, 31290, 17, 33555, 1048, 2706, 38658, 5437, 311, 480, 6517, 276, 19, 1058, 14809, 867, 3870, 292, 275, 2989, 427, 6129, 10355, 19, 204, 2021, 7866, 26104, 507, 12831, 349, 1439, 204, 18, 11565, 78, 19191, 291, 507, 12831, 22571, 2317, 5134, 12005, 19, 13448, 20318, 329, 14531, 20318, 507, 12831, 22571, 440, 12574, 302, 11118, 4581, 27716, 88, 17, 1376, 14790, 292, 275, 4839, 274, 2317, 3139, 427, 6129, 10355, 19, 16706, 4451, 529, 13170, 440, 21050, 283, 494, 395, 301, 19, 204, 18, 501, 33186, 392, 979, 41049, 2317, 501, 33186, 19, 5028, 302, 4376, 10619, 40377, 302, 275, 2688, 17, 440, 2327, 21108, 36101, 322, 48, 12915, 34315, 884, 88, 7133, 25567, 3723, 272, 884, 88, 329, 18598, 6473, 562, 884, 88, 659, 11128, 34980, 17, 6084, 9645, 543, 329, 7259, 884, 88, 25982, 19, 42473, 14790, 292, 275, 5789, 427, 6129, 10355, 329, 13335, 448, 36417, 329, 12818, 8306, 17653, 3700, 302, 275, 4382, 1428, 42390, 88, 302, 12415, 19, 204, 18, 17002, 11014, 2317, 472, 1678, 94, 328, 19, 32443, 31718, 28802, 2317, 3403, 13333, 329, 507, 12831, 22571, 1682, 311, 490, 19, 4161, 275, 401, 897, 1679, 292, 808, 507, 12831, 22571, 1466, 1193, 40593, 28263, 2054, 42553, 523, 19482, 2317, 1429, 302, 275, 2765, 24690, 497, 40880, 9868, 6333, 516, 17, 497, 275, 435, 307, 6129, 9656, 19, 334, 13333, 2080, 9764, 758, 302, 719, 311, 1199, 17128, 12292, 1272, 2600, 36039, 329, 1910, 904, 7204, 22902, 311, 5068, 483, 10511, 19, 204, 18, 9584, 22344, 11014, 2317, 47508, 19, 31279, 3299, 23516, 507, 12831, 22571, 302, 27747, 12415, 17, 275, 17294, 8907, 6624, 529, 1429, 13777, 2181, 3299, 19, 48340, 1051, 302, 275, 17294, 4151, 4581, 10581, 11773, 292, 275, 2688, 2317, 10866, 3296, 21635, 302, 412, 13628, 590, 329, 501, 360, 87, 731, 18, 50, 728, 422, 2317, 275, 17294, 4581, 10581, 4147, 17, 2927, 8489, 3332, 5789, 3276, 10355, 19, 204, 18, 38381, 281, 731, 18, 8124, 14118, 2317, 5134, 12005, 19, 392, 979, 41049, 302, 275, 10033, 8880, 703, 2877, 360, 3226, 19, 16422, 4581, 27716, 88, 2317, 24831, 5524, 88, 2317, 1376, 311, 874, 11342, 302, 309, 29562, 302, 1880, 1101, 1425, 2317, 19822, 10745, 17, 17607, 45744, 17, 28899, 1439, 19, 32443, 529, 313, 9724, 329, 1407, 27574, 302, 4208, 359, 16600, 322, 1947, 435, 307, 6129, 9656, 659, 42830, 10866, 351, 74, 302, 26795, 3486, 269, 278, 322, 11714, 2760, 3332, 2989, 1719, 10355, 789, 204, 18, 18515, 302, 275, 33932, 440, 1144, 59, 26, 17, 1144, 59, 2314, 329, 904, 11118, 18, 3533, 27716, 88, 2317, 480, 6517, 276, 19, 592, 1113, 292, 18515, 302, 33932, 529, 3556, 13012, 27716, 88, 329, 42397, 19, 1144, 59, 26, 353, 275, 4794, 11118, 18, 3533, 27716, 292, 275, 18171, 507, 12831, 22571, 302, 10033, 26104, 34008, 9172, 19, 15602, 965, 336, 311, 24354, 302, 361, 341, 6731, 8392, 19, 592, 1144, 59, 26, 8337, 4935, 874, 1742, 10921, 22925, 12372, 521, 42397, 329, 490, 353, 1812, 496, 1182, 1120, 444, 10921, 17, 808, 3700, 867, 2927, 292, 275, 2989, 427, 2317, 1598, 427, 6129, 10355, 19, 1144, 59, 2314, 2317, 275, 27716, 302, 1428, 42390, 1359, 78, 382, 2317, 353, 1051, 302, 275, 2765, 13170, 27716, 88, 329, 275, 6726, 292, 275, 23193, 17, 33599, 309, 2482, 19, 204, 18, 18515, 302, 275, 36408, 2317, 2991, 18515, 19, 392, 979, 41049, 302, 275, 29265, 17, 2813, 266, 3851, 329, 2813, 20790, 302, 12415, 19, 48340, 1182, 1194, 6787, 27716, 88, 17, 1910, 302, 1475, 3060, 521, 83, 316, 329, 47737, 1282, 447, 13170, 17, 318, 19, 76, 19, 27716, 302, 18878, 392, 599, 864, 815, 19, 204, 2021, 7866, 26104, 36101, 204, 18, 47628, 21635, 322, 55, 13930, 702, 359, 21635, 14, 2317, 501, 33186, 19, 5028, 302, 3403, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 19, 30276, 608, 13333, 17, 5082, 8489, 3332, 5789, 473, 10355, 19, 334, 14382, 19, 22, 309, 14977, 13333, 7036, 440, 273, 27062, 2746, 7133, 1675, 490, 6401, 691, 281, 3006, 17, 4141, 273, 32829, 14748, 19, 334, 1619, 5311, 41569, 279, 3987, 6786, 34456, 2075, 353, 2220, 19, 204, 18, 25567, 3723, 272, 884, 88, 21635, 322, 5941, 9407, 302, 9020, 75, 1268, 14, 2317, 501, 33186, 19, 10110, 4794, 13333, 302, 501, 33186, 17, 15975, 37757, 19, 26, 309, 14977, 17, 3303, 36606, 19, 27, 309, 14977, 19, 42473, 8489, 3332, 28332, 10355, 19, 204, 18, 1144, 12915, 34315, 884, 88, 21635, 322, 32180, 21635, 302, 501, 33186, 14, 2317, 501, 33186, 19, 313, 4759, 10033, 13333, 329, 10033, 4147, 292, 275, 2688, 17, 5082, 8489, 3332, 28332, 10355, 19, 20811, 447, 867, 40593, 19, 26, 309, 14977, 17, 3303, 2317, 35677, 19, 29, 309, 19, 334, 32557, 1302, 329, 7548, 302, 808, 4147, 353, 20831, 1965, 24611, 5319, 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, 48340, 2327, 42397, 17, 1901, 5508, 5082, 448, 273, 36417, 329, 12818, 8306, 17653, 19, 204, 18, 21635, 302, 48292, 547, 1539, 382, 322, 20298, 21635, 14, 2317, 501, 33186, 19, 5028, 302, 275, 4376, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 17, 15975, 1429, 7776, 309, 14977, 17, 3303, 2842, 29161, 42776, 2709, 19, 8146, 7446, 25446, 15690, 2364, 329, 18335, 26606, 302, 275, 9511, 838, 10545, 302, 22971, 19, 204, 18, 21635, 302, 412, 13628, 590, 2317, 47508, 19, 334, 17294, 4581, 10581, 5343, 292, 275, 2688, 17, 5082, 292, 275, 5254, 427, 6129, 10355, 348, 275, 36417, 302, 1428, 42390, 412, 13628, 590, 19, 1058, 21108, 17, 48589, 13333, 15975, 867, 15338, 309, 14977, 19, 1058, 4147, 9035, 4376, 36363, 292, 275, 3511, 302, 2688, 9590, 329, 8908, 19, 6131, 275, 13333, 353, 273, 11029, 302, 25446, 29916, 329, 42397, 440, 273, 1113, 1277, 302, 720, 19, 27, 5437, 19, 204, 18, 21635, 302, 4467, 359, 328, 2317, 11565, 78, 387, 347, 75, 19, 3431, 536, 1399, 1660, 13333, 17, 15975, 19843, 19, 26, 309, 14977, 17, 3303, 2317, 9806, 309, 14977, 19, 42473, 292, 275, 5789, 427, 6129, 10355, 19, 9496, 5508, 490, 13861, 44852, 22971, 1882, 1163, 9511, 19, 204, 18, 21635, 302, 18598, 6473, 562, 2317, 501, 33186, 19, 19373, 13333, 302, 501, 33186, 17, 275, 5527, 1051, 19, 29502, 808, 353, 21108, 17, 16970, 309, 14977, 4147, 322, 6228, 447, 2317, 9806, 19, 26, 309, 789, 42473, 292, 275, 5789, 427, 6129, 10355, 19, 204, 18, 3537, 21635, 2317, 501, 33186, 19, 5028, 302, 275, 4376, 36101, 292, 412, 3901, 823, 298, 507, 12831, 22571, 17, 23956, 309, 14977, 19, 19373, 4794, 26104, 13333, 19, 415, 7334, 24411, 275, 1043, 3597, 13333, 292, 12415, 17, 275, 48574, 4147, 302, 275, 2688, 630, 1163, 9511, 19, 5128, 336, 5387, 292, 2019, 2934, 10355, 19, 204, 12695, 27747, 26104, 40377, 204, 18, 2439, 18, 47009, 43667, 1647, 404, 3385, 322, 1252, 18, 5019, 328, 1647, 404, 3385, 14, 2317, 47508, 19, 334, 4794, 9455, 40922, 608, 302, 275, 4382, 10033, 3226, 3226, 302, 552, 5841, 760, 22571, 17, 1199, 19, 9783, 309, 14977, 329, 7219, 17128, 12292, 19, 204, 18, 1212, 2650, 78, 302, 8925, 5198, 2317, 480, 6517, 276, 19, 7609, 401, 2650, 281, 11118, 47061, 17, 37864, 8489, 3332, 2989, 1719, 10355, 329, 19919, 299, 1428, 290, 3901, 2981, 48292, 5705, 1558, 15623, 19, 32252, 440, 1017, 19936, 47061, 529, 1916, 309, 2223, 17, 848, 24624, 17128, 12292, 19, 38413, 557, 4245, 302, 32856, 3205, 3522, 8517, 2666, 17, 26549, 3913, 311, 20386, 5316, 12260, 2197, 560, 275, 18358, 401, 2650, 354, 2518, 275, 42303, 19, 23196, 869, 508, 1742, 14006, 3522, 27083, 9656, 19, 204, 18, 11128, 34980, 302, 501, 33186, 2317, 501, 33186, 19, 15579, 1795, 1898, 37793, 32496, 292, 275, 2688, 17, 5082, 8489, 3332, 2019, 1719, 10355, 19, 18006, 19, 26, 309, 2482, 329, 719, 311, 1199, 19, 2898, 309, 2223, 17, 1051, 302, 275, 1901, 47613, 32118, 981, 292, 275, 2688, 17, 6837, 726, 302, 12787, 43233, 329, 11556, 19, 204, 18, 1628, 16744, 1647, 404, 3385, 292, 3242, 19505, 10581, 27951, 2882, 2317, 3242, 19505, 19, 15579, 1795, 3556, 10033, 1647, 404, 3385, 17, 1824, 794, 16744, 292, 27951, 569, 3913, 311, 39985, 292, 490, 19, 334, 10689, 1647, 404, 3385, 1784, 444, 8178, 309, 2223, 17, 1429, 32011, 17128, 12292, 19, 204, 18, 346, 345, 5524, 88, 302, 1144, 509, 731, 2541, 84, 19050, 1150, 2317, 40052, 13891, 19, 6581, 26645, 507, 12831, 22571, 17, 4581, 292, 275, 11118, 292, 275, 435, 307, 2317, 681, 427, 15056, 9656, 19, 852, 797, 3287, 28136, 2350, 299, 1838, 302, 27747, 12415, 17, 39411, 45383, 1838, 329, 4744, 8517, 1838, 15128, 19, 204, 18, 1144, 6369, 80, 302, 1301, 270, 530, 333, 78, 322, 934, 18, 48, 514, 2833, 78, 14, 2317, 3242, 19505, 19, 19463, 1101, 32163, 447, 1983, 10176, 4147, 17, 5082, 292, 275, 4744, 8517, 3155, 19, 791, 12106, 19, 204, 18, 8302, 324, 1707, 884, 88, 415, 713, 290, 2317, 40052, 13891, 19, 15579, 1795, 8517, 1659, 1411, 16442, 1837, 7066, 18172, 329, 17570, 6484, 15170, 17, 1051, 302, 275, 4794, 1898, 37793, 2630, 7921, 35899, 19, 5278, 353, 1199, 19, 7378, 309, 14977, 322, 2004, 1464, 4418, 281, 2317, 2468, 309, 659, 435, 19, 9769, 309, 6592, 630, 1163, 1034, 17, 1429, 4662, 26, 2317, 571, 3276, 265, 12292, 19, 42473, 292, 435, 5839, 9656, 19, 204, 45361, 1898, 812, 4774, 329, 25763, 204, 18, 332, 2142, 502, 17191, 2317, 40052, 13891, 19, 9139, 1679, 302, 10033, 10927, 27191, 3226, 329, 39564, 550, 4245, 19, 15395, 464, 302, 1200, 19, 18598, 402, 302, 40052, 13891, 19, 8187, 21749, 292, 275, 571, 10988, 6129, 329, 867, 16356, 560, 24898, 292, 275, 4876, 302, 275, 1168, 427, 6129, 19, 791, 660, 88, 302, 23980, 4744, 10927, 5464, 362, 323, 402, 2317, 43961, 17674, 362, 8495, 322, 1947, 720, 427, 6129, 14, 329, 17674, 362, 8495, 302, 28003, 364, 5717, 322, 1947, 720, 427, 6129, 789, 204, 18, 5973, 35693, 302, 24074, 38852, 2317, 3537, 15955, 19, 1212, 16998, 45956, 17, 17294, 20816, 10885, 10927, 45956, 292, 2688, 17, 5082, 292, 5924, 27, 17, 440, 3287, 28136, 329, 4712, 19, 204, 18, 1621, 1147, 865, 5973, 35693, 2317, 3300, 267, 11162, 19, 1212, 16998, 45956, 17, 15469, 275, 17294, 45956, 292, 2688, 17, 18321, 292, 571, 4049, 9656, 17, 16356, 4569, 2666, 1101, 46679, 329, 4884, 19, 48340, 12787, 8916, 329, 1838, 1019, 19, 204, 18, 24074, 43353, 884, 88, 5973, 35693, 17, 13134, 19700, 1678, 2317, 7149, 19700, 1678, 19, 27747, 17, 20816, 10885, 10927, 45956, 17, 4884, 3522, 3332, 571, 7900, 9656, 19, 5973, 35693, 5082, 1283, 720, 4343, 2317, 720, 4452, 17, 12805, 3060, 3287, 4712, 302, 10033, 29155, 19, 204, 18, 334, 552, 5648, 11052, 2317, 47508, 19, 27747, 1212, 16998, 11575, 5082, 1048, 273, 15690, 302, 8517, 13482, 1023, 19, 42473, 9047, 292, 887, 3276, 2317, 887, 6913, 9656, 17, 46679, 12787, 2666, 19, 48340, 12602, 3060, 15646, 33669, 19, 204, 18, 2439, 18, 38, 95, 11704, 22817, 518, 2317, 47508, 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, 9083, 24706, 813, 88, 518, 497, 1233, 3894, 9656, 17, 3237, 7001, 275, 1901, 4883, 23339, 12347, 292, 2688, 19, 9419, 35337, 1051, 302, 29504, 32488, 292, 23339, 2688, 19, 204, 18, 2439, 18, 45, 934, 449, 22817, 518, 2317, 47508, 19, 22759, 17, 3299, 813, 88, 518, 17, 5082, 292, 1233, 6913, 19, 5134, 879, 3450, 302, 813, 88, 518, 24896, 426, 948, 6335, 311, 273, 1428, 11014, 13078, 17653, 19, 204, 18, 22817, 518, 302, 382, 8826, 313, 335, 350, 2317, 47508, 19, 30838, 4418, 813, 88, 518, 292, 47508, 17, 5082, 292, 1132, 6537, 2317, 1132, 9642, 19, 15386, 299, 7058, 353, 275, 18415, 1006, 16384, 19, 204, 11641, 43166, 7850, 329, 20603, 204, 18, 346, 286, 4949, 81, 302, 1301, 1836, 31858, 2317, 40052, 13891, 19, 3431, 536, 1399, 13482, 1023, 630, 275, 26100, 17, 5082, 292, 275, 2153, 427, 6129, 9656, 1048, 275, 42776, 302, 275, 480, 42254, 302, 40052, 13891, 19, 204, 18, 3844, 42390, 884, 88, 13940, 2317, 7149, 19700, 1678, 19, 19463, 11918, 292, 275, 24226, 302, 332, 86, 28238, 440, 29161, 13482, 7973, 17, 5082, 560, 8508, 354, 18253, 329, 12654, 364, 266, 292, 275, 1598, 427, 6129, 19, 204, 18, 1212, 16998, 13673, 2317, 47508, 19, 5179, 884, 88, 1901, 3287, 3599, 302, 1212, 16998, 1838, 329, 3511, 1019, 19, 13673, 21479, 275, 3511, 302, 24596, 292, 12415, 19, 204, 18, 26104, 13673, 2317, 47508, 19, 5028, 302, 4376, 31718, 39809, 302, 275, 2688, 17, 28329, 311, 27747, 12415, 19, 48340, 12787, 641, 356, 20892, 302, 12479, 8622, 17, 2864, 5254, 23516, 309, 29562, 17, 14901, 21075, 302, 313, 312, 1378, 8013, 350, 329, 1910, 5261, 19, 204, 12695, 1064, 2927, 17869, 204, 18, 5973, 530, 11840, 40566, 329, 2439, 18, 21803, 555, 10008, 40566, 2317, 40052, 13891, 19, 5973, 530, 11840, 40566, 867, 5082, 292, 1916, 6913, 560, 1144, 267, 511, 358, 43111, 402, 8392, 448, 273, 24579, 317, 29424, 19, 334, 23980, 17, 521, 83, 316, 2439, 18, 21803, 555, 10008, 40566, 867, 5082, 292, 46521, 560, 8503, 48467, 364, 382, 448, 1704, 10865, 35424, 19, 21743, 448, 273, 31253, 35424, 3119, 5411, 2666, 19, 204, 18, 13134, 19700, 1678, 2317, 7149, 19700, 1678, 19, 1058, 435, 17, 40166, 309, 2223, 14498, 353, 23969, 292, 12464, 17, 10927, 329, 23339, 6546, 19, 1547, 353, 11799, 12787, 2666, 292, 23969, 19283, 302, 1792, 32313, 448, 275, 2481, 1273, 25924, 5445, 275, 22584, 8476, 1320, 19, 204, 6185, 19565, 46436, 302, 12415, 204, 42, 11675, 353, 2941, 311, 1910, 302, 275, 1901, 3287, 329, 29161, 31718, 40377, 292, 275, 2688, 19, 8278, 17, 292, 275, 23193, 302, 37386, 7001, 1051, 302, 275, 1043, 329, 8595, 25721, 2317, 27747, 12415, 322, 5639, 1719, 2317, 571, 2177, 10355, 659, 12637, 37461, 5658, 329, 5406, 40377, 19, 204, 8390, 302, 275, 8595, 26104, 17869, 529, 11128, 2802, 27847, 302, 501, 33186, 17, 27716, 88, 302, 1428, 42390, 88, 292, 275, 18515, 302, 33932, 17, 9584, 22344, 11014, 507, 12831, 22571, 440, 275, 1901, 10033, 10365, 10581, 11773, 292, 275, 2688, 17, 42776, 302, 480, 6517, 276, 19, 204, 673, 10652, 6601, 302, 26104, 25721, 7239, 1307, 17540, 292, 275, 5378, 329, 1673, 719, 311, 808, 2344, 2317, 1422, 529, 12787, 9764, 49096, 40377, 329, 2219, 1182, 8517, 17, 10927, 329, 23339, 17869, 17, 318, 19, 76, 19, 275, 17294, 10927, 1898, 812, 4774, 292, 275, 2688, 322, 2595, 1147, 865, 5973, 35693, 17, 24074, 43353, 884, 88, 5973, 35693, 17, 5973, 35693, 302, 24074, 38852, 329, 1910, 5261, 789, 204, 673, 23980, 12415, 869, 1910, 9764, 4193, 17869, 448, 2590, 2317, 1101, 1605, 529, 23058, 77, 12004, 336, 560, 275, 12787, 21050, 1064, 2927, 17869, 19, 204, 11896, 73, 31, 11128, 34980, 302, 501, 33186, 204, 3882, 1051, 17356, 348, 6430, 5566, 329, 1330, 867, 5082, 275, 4794, 1898, 37793, 32496, 292, 275, 2688, 2317, 275, 11128, 34980, 302, 501, 33186, 19, 3846, 1901, 5508, 808, 353, 275, 17294, 3403, 17, 28802, 281, 39198, 292, 275, 2688, 19, 204, 673, 8908, 302, 12415, 869, 11342, 302, 2181, 302, 11915, 3511, 19, 27747, 12415, 17963, 37701, 560, 1163, 13654, 32118, 981, 329, 24690, 17, 39127, 11773, 17, 3700, 329, 35909, 1381, 924, 543, 17, 329, 41438, 19, 1058, 19882, 3351, 353, 13626, 348, 46184, 34383, 311, 2379, 1182, 1465, 808, 25721, 19, 204, 14232, 12610, 3074, 523, 12415, 11208, 10350, 497, 275, 2802, 27847, 292, 501, 33186, 329, 480, 6517, 276, 884, 88, 36825, 311, 46096, 275, 3537, 15955, 329, 42933, 275, 21883, 302, 47508, 0, 647, 2010, 448, 645, 204, 647, 690, 204, 647, 1361, 204, 647, 13185, 204, 531, 4277, 19, 809, 68, 7419, 532, 40723, 4872, 5582, 16555, 17, 40723, 45304, 204, 531, 1498, 532, 783, 17, 1884, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 6490, 4321, 13185, 204, 21104, 19, 2741, 21104, 499, 12286, 528, 2851, 34, 2491, 18928, 14, 204, 204, 8, 977, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 3342, 19, 12419, 13, 3247, 19, 5142, 14, 204, 204, 461, 1137, 68, 481, 13, 481, 3880, 31, 783, 64, 325, 694, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 275, 424, 497, 275, 800, 3630, 19, 204, 204, 264, 457, 31, 204, 264, 338, 424, 3880, 31, 332, 458, 302, 424, 3630, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 2010, 1348, 1174, 275, 3271, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 275, 1043, 832, 292, 275, 458, 204, 264, 407, 645, 19, 986, 13, 481, 3880, 64, 21, 694, 204, 204, 461, 23755, 1287, 68, 20274, 13, 204, 264, 1504, 31, 783, 64, 325, 648, 716, 264, 1358, 31, 783, 64, 339, 648, 716, 264, 21629, 31, 421, 289, 1168, 17, 716, 264, 8062, 68, 1590, 31, 1109, 289, 1078, 204, 14, 393, 1884, 64, 1218, 64, 325, 648, 783, 64, 339, 648, 783, 64, 325, 648, 783, 64, 339, 2440, 204, 264, 320, 204, 264, 475, 275, 3265, 348, 1737, 21629, 329, 683, 3416, 19, 204, 204, 264, 457, 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, 264, 338, 1504, 31, 332, 458, 302, 424, 3630, 19, 204, 264, 338, 1358, 31, 332, 458, 302, 1029, 1019, 19, 204, 264, 338, 21629, 31, 334, 542, 302, 21629, 348, 4393, 18, 6877, 19, 204, 264, 338, 8062, 68, 1590, 31, 332, 5168, 311, 732, 40723, 4872, 5582, 16555, 5976, 302, 40723, 45304, 19, 204, 204, 264, 9112, 31, 204, 264, 338, 610, 68, 1219, 31, 332, 458, 302, 1737, 424, 3630, 19, 204, 264, 338, 469, 68, 1219, 31, 332, 458, 302, 1737, 1029, 1019, 19, 204, 264, 338, 610, 68, 804, 31, 332, 458, 302, 2907, 424, 3630, 19, 204, 264, 338, 469, 68, 804, 31, 332, 458, 302, 2907, 1029, 1019, 19, 204, 264, 320, 204, 264, 314, 11420, 275, 4393, 18, 6877, 6684, 204, 264, 297, 333, 289, 40723, 4872, 5582, 16555, 13, 83, 68, 19705, 34, 20274, 17, 683, 68, 835, 34, 21, 19, 23, 14, 397, 8062, 68, 1590, 902, 40723, 45304, 13, 83, 68, 19705, 34, 20274, 17, 8062, 34, 1975, 14, 204, 615, 264, 314, 1861, 1048, 275, 21629, 204, 264, 348, 951, 68, 998, 17, 683, 68, 998, 292, 297, 333, 19, 1590, 13, 61, 17, 1358, 330, 204, 268, 314, 1986, 275, 1737, 329, 2907, 424, 204, 268, 610, 68, 1219, 17, 469, 68, 1219, 289, 551, 1123, 19, 643, 13, 4415, 5604, 1219, 68, 998, 66, 348, 8439, 292, 322, 61, 17, 1358, 2395, 204, 268, 610, 68, 804, 17, 469, 68, 804, 289, 551, 1123, 19, 643, 13, 4415, 5604, 804, 68, 998, 66, 348, 8439, 292, 322, 61, 17, 1358, 2395, 204, 822, 268, 4353, 610, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 204, 204, 461, 724, 7951, 68, 1219, 13, 204, 264, 21200, 68, 655, 31, 783, 64, 2983, 64, 1386, 17, 1884, 64, 339, 17, 421, 648, 1135, 4395, 716, 264, 424, 31, 783, 64, 325, 648, 716, 264, 6801, 31, 783, 64, 339, 648, 716, 264, 21629, 31, 421, 17, 716, 264, 2248, 68, 33335, 31, 1109, 289, 959, 17, 716, 264, 2037, 31, 1109, 289, 959, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 14137, 275, 458, 302, 19950, 292, 5966, 19, 204, 204, 264, 457, 31, 204, 264, 338, 21200, 68, 655, 31, 332, 458, 302, 5760, 1174, 275, 21200, 726, 17, 1906, 17, 329, 4541, 1906, 19, 204, 264, 338, 424, 31, 332, 458, 302, 424, 3630, 19, 204, 264, 338, 6801, 31, 332, 458, 302, 1029, 1019, 19, 204, 264, 338, 21629, 31, 334, 542, 302, 21629, 348, 4393, 18, 6877, 19, 204, 264, 338, 2248, 68, 33335, 31, 332, 5168, 311, 2037, 275, 1737, 329, 2907, 2744, 19, 204, 264, 338, 2037, 31, 332, 5168, 311, 2037, 275, 1737, 5634, 19, 204, 264, 320, 204, 264, 397, 508, 2381, 13, 32287, 68, 655, 17, 458, 330, 204, 268, 980, 987, 499, 11741, 273, 458, 302, 19950, 448, 275, 1043, 4601, 17, 2219, 348, 2875, 19950, 431, 204, 204, 264, 348, 21200, 292, 21200, 68, 655, 31, 204, 268, 830, 68, 6240, 289, 1306, 204, 268, 31589, 289, 1306, 204, 268, 724, 289, 500, 204, 268, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 822, 268, 314, 1861, 1048, 275, 21629, 204, 268, 348, 610, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 292, 23755, 1287, 68, 20274, 13, 481, 17, 6801, 17, 21629, 34, 20274, 330, 204, 305, 397, 2037, 31, 204, 485, 397, 724, 2167, 500, 31, 204, 895, 2082, 19, 1270, 13, 75, 7, 21888, 463, 80, 18, 22, 2829, 3870, 292, 463, 834, 19, 834, 374, 18, 1530, 68, 834, 4567, 23, 75, 98, 7139, 431, 204, 485, 2082, 19, 1270, 13, 75, 7, 35250, 523, 463, 932, 13, 32287, 64, 21, 694, 3925, 417, 23614, 8803, 463, 80, 743, 204, 485, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 3123, 305, 314, 2672, 275, 21200, 204, 305, 6175, 68, 6240, 17, 683, 68, 5015, 289, 21200, 64, 21, 1664, 1219, 13, 93, 68, 1219, 17, 469, 68, 1219, 17, 610, 68, 804, 17, 469, 68, 804, 17, 540, 32287, 64, 22, 648, 930, 32287, 64, 23, 694, 204, 305, 830, 68, 6240, 19, 1223, 13, 7064, 68, 6240, 14, 204, 305, 31589, 19, 1223, 13, 804, 68, 5015, 14, 204, 305, 724, 1412, 368, 204, 204, 268, 2082, 19, 4561, 13, 27021, 14, 204, 268, 397, 2248, 68, 33335, 31, 204, 305, 314, 3045, 275, 1737, 329, 2907, 2744, 204, 305, 1513, 19, 1657, 13, 668, 68, 6240, 64, 21, 694, 204, 305, 1513, 19, 7246, 611, 49013, 534, 204, 305, 1513, 19, 7127, 611, 596, 534, 204, 305, 1513, 19, 1778, 611, 13000, 7252, 534, 204, 305, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 12016, 741, 19, 204, 264, 320, 204, 264, 951, 68, 2884, 835, 289, 368, 204, 264, 771, 68, 7064, 289, 931, 204, 204, 264, 314, 1385, 275, 424, 204, 264, 424, 3880, 17, 6801, 289, 424, 6439, 19, 505, 68, 481, 68, 3880, 13, 22, 17, 951, 34, 1021, 17, 678, 15380, 833, 45233, 534, 204, 264, 610, 289, 1137, 68, 481, 13, 481, 3880, 14, 204, 264, 2648, 68, 765, 289, 610, 19, 1827, 64, 21, 66, 204, 204, 264, 314, 666, 273, 21200, 204, 264, 21200, 68, 655, 289, 6229, 3838, 375, 19, 49, 23, 6769, 3052, 13, 3170, 17, 2648, 68, 765, 659, 322, 920, 68, 7064, 17, 951, 68, 2884, 835, 659, 2552, 2994, 597, 1078, 1937, 66, 204, 204, 264, 314, 2672, 275, 21200, 204, 264, 724, 7951, 68, 1219, 13, 32287, 68, 655, 17, 424, 3880, 17, 6801, 17, 571, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 531, 954, 19, 19010, 68, 1087, 532, 22880, 68, 1087, 204, 204, 676, 2303, 702, 2108, 13, 32514, 68, 1087, 330, 204, 264, 320, 204, 264, 332, 5660, 1586, 850, 496, 28073, 497, 22880, 2108, 19, 204, 204, 264, 1058, 850, 4504, 273, 1586, 496, 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, 353, 273, 5660, 302, 3536, 1034, 10608, 19, 204, 264, 1547, 5377, 397, 273, 458, 302, 10608, 12478, 275, 5660, 1586, 19, 204, 204, 264, 1532, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 275, 1586, 510, 19, 204, 268, 1034, 68, 13812, 322, 1218, 64, 325, 1037, 332, 458, 302, 1034, 1586, 1987, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 2303, 702, 2108, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 1586, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 1586, 510, 588, 1583, 508, 918, 630, 3406, 970, 1034, 27812, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 889, 546, 14, 204, 268, 314, 1986, 1034, 1586, 1987, 497, 275, 510, 588, 204, 268, 370, 19, 772, 68, 13812, 289, 370, 19, 417, 19, 1590, 39657, 204, 822, 268, 314, 3866, 275, 542, 302, 1034, 10608, 204, 268, 397, 1245, 13, 327, 19, 772, 68, 13812, 14, 962, 435, 31, 204, 305, 980, 987, 13, 75, 7, 29877, 954, 510, 463, 546, 98, 1856, 874, 630, 3406, 970, 1034, 27812, 431, 204, 204, 264, 436, 353, 68, 28822, 36569, 68, 1424, 13, 327, 17, 954, 68, 655, 31, 783, 64, 32514, 68, 1087, 694, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 5660, 1586, 353, 20180, 560, 273, 458, 302, 10608, 19, 204, 204, 268, 457, 31, 204, 305, 954, 68, 655, 322, 1218, 64, 32514, 68, 1087, 1037, 332, 458, 302, 1586, 2828, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 5660, 1586, 353, 20180, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 830, 1034, 27812, 529, 3113, 292, 275, 954, 458, 204, 268, 314, 1974, 273, 758, 348, 6184, 24312, 204, 268, 954, 68, 2199, 289, 463, 1087, 19, 417, 348, 954, 292, 954, 68, 655, 98, 204, 268, 407, 830, 13, 772, 68, 1087, 292, 954, 68, 2199, 348, 1034, 68, 1087, 292, 370, 19, 772, 68, 13812, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2303, 702, 2108, 1014, 204, 264, 21312, 68, 1087, 289, 2303, 702, 2108, 499, 546, 20, 633, 20, 1087, 19, 3039, 431, 204, 204, 264, 314, 666, 273, 458, 302, 22880, 2108, 5644, 204, 264, 954, 68, 655, 289, 551, 32514, 68, 1087, 499, 1087, 22, 3186, 22880, 68, 1087, 499, 1087, 23, 3186, 22880, 68, 1087, 499, 1087, 24, 14094, 204, 204, 264, 314, 778, 397, 275, 5660, 1586, 353, 20180, 204, 264, 397, 21312, 68, 1087, 19, 360, 68, 28822, 36569, 68, 1424, 13, 1087, 68, 655, 330, 204, 268, 456, 499, 673, 5660, 1586, 353, 20180, 1280, 204, 264, 902, 31, 204, 268, 456, 499, 673, 5660, 1586, 353, 508, 20180, 1280, 204, 0, 647, 3238, 204, 647, 1127, 204, 647, 5503, 204, 647, 1437, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 35275, 532, 7618, 204, 204, 531, 283, 15610, 19, 809, 19, 14524, 83, 19, 17014, 532, 472, 16365, 31472, 204, 531, 283, 15610, 19, 809, 19, 42372, 19, 42372, 68, 13291, 532, 46750, 17, 5571, 68, 42372, 204, 531, 283, 15610, 19, 809, 19, 46967, 19, 14577, 68, 4072, 532, 14185, 68, 4072, 68, 11334, 17, 11634, 68, 7040, 204, 531, 283, 15610, 19, 809, 19, 2918, 19, 1087, 532, 13122, 17, 13122, 68, 531, 68, 553, 17, 13122, 68, 531, 68, 655, 17, 636, 68, 1420, 68, 1217, 204, 531, 283, 15610, 19, 809, 19, 2918, 19, 3052, 68, 2918, 532, 2015, 68, 24381, 204, 531, 283, 15610, 19, 17316, 68, 481, 68, 2594, 19, 295, 27358, 4929, 532, 622, 27358, 4929, 204, 531, 283, 15610, 19, 17316, 68, 481, 68, 2594, 19, 6493, 71, 532, 6571, 68, 6493, 71, 204, 531, 283, 15610, 19, 804, 532, 3893, 204, 204, 461, 2252, 68, 1038, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 537, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 273, 13403, 361, 18, 19965, 2364, 534, 204, 264, 1732, 19, 826, 68, 2389, 611, 4041, 68, 417, 491, 1187, 34, 325, 17, 1540, 34, 3170, 17, 1340, 833, 9451, 588, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2182, 491, 2984, 833, 2182, 491, 1340, 833, 5135, 1485, 491, 1540, 833, 48740, 68, 35748, 491, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 26953, 577, 68, 417, 491, 2984, 833, 26953, 577, 68, 417, 491, 1340, 833, 577, 36859, 491, 1540, 18590, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3052, 491, 2984, 833, 3052, 491, 1340, 833, 21330, 1845, 17, 513, 1719, 17, 513, 10986, 17, 513, 27294, 491, 1540, 833, 494, 10986, 491, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 986, 68, 1217, 491, 2984, 833, 986, 68, 1217, 491, 1340, 833, 2100, 311, 1137, 1094, 491, 1540, 1022, 1420, 20, 14524, 83, 528, 1187, 34, 325, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 6938, 491, 2984, 833, 6938, 491, 1340, 833, 13746, 708, 732, 21292, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2224, 68, 18822, 491, 2984, 833, 2224, 68, 18822, 491, 1340, 833, 5053, 348, 6980, 2279, 491, 1540, 34, 21, 19, 4779, 17, 1187, 34, 996, 14, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3624, 491, 2984, 833, 3624, 491, 1340, 833, 13746, 708, 311, 8603, 19078, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 8771, 68, 42372, 491, 2984, 833, 8771, 68, 42372, 491, 1340, 833, 13746, 708, 311, 732, 5571, 392, 5200, 491, 2086, 833, 4046, 68, 4855, 534, 204, 264, 407, 1732, 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, 1703, 68, 1038, 374, 204, 204, 461, 1137, 68, 809, 13, 1038, 31, 3238, 19, 5750, 17, 36859, 14, 393, 472, 16365, 31472, 31, 204, 264, 320, 204, 264, 1385, 275, 570, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1906, 19, 204, 268, 36859, 31, 3207, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 472, 16365, 31472, 31, 9387, 570, 19, 204, 264, 320, 204, 264, 314, 1385, 570, 204, 264, 397, 2042, 19, 3052, 564, 379, 494, 10986, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 14382, 17, 21250, 34, 1975, 14, 204, 264, 1677, 2042, 19, 3052, 564, 379, 494, 1719, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 2753, 17, 21250, 34, 1975, 14, 204, 264, 1677, 2042, 19, 3052, 564, 379, 494, 27294, 597, 204, 268, 570, 289, 472, 16365, 31472, 13, 26953, 19, 3191, 17, 36091, 17, 21250, 34, 1975, 14, 204, 264, 902, 31, 204, 268, 980, 987, 611, 7822, 353, 508, 4310, 534, 204, 264, 570, 19, 1510, 68, 25313, 374, 204, 615, 264, 314, 1385, 570, 3093, 204, 264, 1137, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 1038, 19, 986, 68, 1217, 17, 379, 809, 19, 2957, 534, 204, 264, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 986, 68, 417, 26459, 809, 2378, 204, 264, 407, 570, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1906, 204, 264, 2042, 289, 2252, 68, 1038, 374, 204, 264, 456, 611, 14526, 440, 2042, 19376, 204, 264, 456, 13, 1038, 14, 204, 204, 264, 314, 1385, 424, 204, 264, 36859, 17, 622, 359, 71, 17, 3726, 68, 655, 17, 3726, 68, 998, 289, 6571, 68, 6493, 71, 13, 1038, 19, 26953, 577, 68, 417, 17, 1078, 14, 204, 264, 36859, 19, 30339, 68, 3607, 13, 271, 34, 1021, 14, 204, 264, 456, 18695, 31, 73, 98, 622, 359, 71, 7876, 2625, 2478, 13, 1796, 13, 6493, 71, 3694, 204, 264, 919, 68, 1217, 289, 636, 68, 1420, 68, 1217, 13, 26953, 17, 2042, 19, 4041, 68, 417, 14, 204, 264, 1485, 289, 622, 27358, 4929, 13, 6493, 71, 17, 3726, 68, 655, 17, 3726, 68, 998, 17, 368, 17, 36859, 19, 920, 68, 3191, 17, 1737, 34, 1975, 17, 8060, 34, 1975, 14, 204, 264, 19052, 289, 1437, 19, 2918, 19, 481, 19, 10535, 13, 2182, 17, 2068, 68, 835, 34, 22, 17, 8062, 34, 1975, 17, 771, 68, 8938, 34, 25, 17, 6468, 68, 6816, 34, 1021, 14, 204, 204, 264, 314, 1385, 570, 204, 264, 570, 289, 1137, 68, 809, 13, 1038, 17, 36859, 14, 204, 204, 264, 314, 4938, 570, 204, 264, 830, 68, 7040, 289, 3893, 13, 809, 17, 19052, 17, 36859, 17, 2015, 34, 1038, 19, 3624, 17, 29218, 34, 1038, 19, 6938, 17, 5571, 68, 42372, 34, 1038, 19, 8771, 68, 42372, 17, 2279, 68, 18822, 34, 1038, 19, 2224, 68, 18822, 14, 204, 264, 456, 611, 25005, 19078, 534, 204, 264, 36859, 19, 9925, 68, 24381, 13, 668, 68, 7040, 17, 919, 68, 1217, 14, 204, 204, 264, 314, 3025, 1563, 204, 264, 20940, 68, 553, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 1217, 17, 379, 24381, 19, 12586, 534, 204, 264, 440, 1451, 13, 14779, 68, 553, 17, 379, 9220, 534, 448, 283, 31, 204, 268, 5503, 19, 4573, 13, 668, 68, 7040, 17, 283, 17, 5503, 19, 45, 3931, 4687, 1185, 68, 38031, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 768, 68, 531, 68, 816, 374, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 4143, 537, 497, 275, 575, 329, 2584, 275, 1113, 1277, 329, 542, 302, 10207, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 339, 17, 421, 744, 332, 927, 1174, 275, 1113, 1277, 329, 275, 542, 302, 10207, 19, 204, 264, 320, 204, 264, 314, 1606, 1113, 1277, 329, 542, 302, 10207, 497, 275, 575, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 1113, 68, 1205, 17, 771, 68, 13989, 289, 2304, 13, 339, 17, 537, 499, 2101, 1113, 1277, 329, 542, 302, 10207, 5289, 560, 2817, 31, 6165, 1590, 1447, 204, 305, 397, 1113, 68, 1205, 2186, 500, 521, 771, 68, 13989, 2186, 500, 31, 204, 485, 456, 499, 6425, 1277, 329, 542, 302, 10207, 1631, 444, 2140, 1892, 1280, 204, 485, 3524, 204, 305, 407, 1113, 68, 1205, 17, 771, 68, 13989, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 2817, 1280, 204, 204, 461, 1151, 68, 2307, 68, 12456, 68, 531, 68, 816, 13, 920, 68, 13989, 31, 421, 14, 393, 458, 64, 2644, 64, 339, 17, 421, 2440, 204, 264, 320, 204, 264, 4143, 933, 8354, 497, 275, 575, 329, 2584, 1475, 448, 273, 458, 302, 5760, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 13989, 322, 339, 330, 334, 542, 302, 10207, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 2644, 64, 339, 17, 421, 2440, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1824, 329, 1629, 8354, 302, 273, 933, 19, 204, 264, 320, 204, 264, 314, 1606, 933, 8354, 497, 275, 575, 204, 264, 933, 68, 12456, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 920, 68, 13989, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 1824, 17, 1629, 289, 2304, 13, 339, 17, 537, 13, 75, 7, 2101, 1824, 329, 1629, 8354, 302, 933, 463, 78, 16, 22, 98, 5289, 560, 2817, 31, 6165, 1590, 1447, 204, 485, 397, 1824, 2186, 500, 521, 1629, 2186, 500, 521, 1824, 1323, 1629, 31, 204, 895, 456, 499, 19584, 329, 1629, 8354, 1631, 444, 2140, 1892, 329, 1824, 2689, 1631, 444, 2202, 1194, 521, 1936, 311, 1629, 2689, 1280, 204, 895, 3524, 204, 485, 933, 68, 12456, 19, 1223, 1802, 1735, 17, 1629, 602, 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, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 970, 1892, 5289, 560, 2817, 1280, 204, 264, 407, 933, 68, 12456, 204, 204, 461, 949, 68, 16520, 68, 23495, 68, 1867, 13, 2609, 68, 1205, 31, 421, 17, 933, 68, 12456, 31, 458, 64, 2644, 64, 339, 17, 421, 4097, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 8175, 7786, 1435, 1609, 523, 275, 1113, 1277, 329, 933, 8354, 19, 204, 204, 264, 457, 31, 204, 268, 1113, 68, 1205, 322, 339, 330, 334, 1113, 1277, 19, 204, 268, 933, 68, 12456, 322, 655, 64, 2644, 64, 339, 17, 421, 3795, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1824, 329, 1629, 8354, 302, 273, 933, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 8175, 7786, 1435, 19, 204, 264, 320, 204, 264, 314, 977, 275, 8175, 7786, 1435, 204, 264, 8175, 68, 23495, 68, 1867, 289, 551, 21, 66, 540, 322, 2609, 68, 1205, 465, 368, 14, 204, 264, 8175, 68, 23495, 68, 1867, 64, 21, 66, 289, 368, 204, 264, 314, 888, 275, 8175, 7786, 1435, 204, 264, 348, 296, 292, 933, 13, 2609, 68, 1205, 330, 204, 268, 397, 296, 1323, 500, 31, 204, 305, 8175, 68, 23495, 68, 1867, 64, 78, 66, 1412, 8175, 68, 23495, 68, 1867, 64, 78, 338, 368, 66, 204, 268, 8175, 68, 23495, 68, 1867, 64, 78, 66, 34060, 1233, 4966, 36458, 42929, 204, 268, 348, 1824, 17, 1629, 292, 933, 68, 12456, 31, 204, 305, 397, 296, 465, 1824, 1323, 1113, 68, 1205, 31, 204, 485, 3524, 204, 305, 8175, 68, 23495, 68, 1867, 64, 78, 465, 1824, 66, 1412, 8175, 68, 23495, 68, 1867, 64, 78, 66, 204, 305, 8175, 68, 23495, 68, 1867, 64, 885, 13, 2609, 68, 1205, 17, 296, 465, 1629, 465, 368, 2395, 4922, 8175, 68, 23495, 68, 1867, 64, 78, 66, 204, 264, 407, 8175, 68, 23495, 68, 1867, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 496, 10428, 537, 17, 9111, 275, 8175, 7786, 1435, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 537, 497, 275, 575, 204, 264, 1113, 68, 1205, 17, 771, 68, 13989, 289, 1151, 68, 768, 68, 531, 68, 816, 374, 204, 264, 933, 68, 12456, 289, 1151, 68, 2307, 68, 12456, 68, 531, 68, 816, 13, 920, 68, 13989, 14, 204, 264, 314, 888, 275, 8175, 7786, 1435, 204, 264, 8175, 68, 23495, 68, 1867, 289, 949, 68, 16520, 68, 23495, 68, 1867, 13, 2609, 68, 1205, 17, 933, 68, 12456, 14, 204, 264, 314, 1198, 275, 722, 204, 264, 456, 499, 33671, 23456, 8817, 2180, 8175, 68, 23495, 68, 1867, 14, 204, 264, 456, 499, 5725, 2180, 8175, 68, 23495, 68, 1867, 3327, 23, 66, 1564, 1233, 4966, 36458, 42929, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 14131, 31, 204, 264, 320, 204, 264, 2646, 273, 683, 1322, 440, 1576, 17, 4213, 1714, 17, 329, 23391, 1714, 19, 204, 204, 264, 1532, 31, 204, 268, 1576, 322, 325, 330, 334, 1576, 348, 275, 683, 1322, 19, 204, 268, 4213, 322, 2107, 330, 2266, 275, 683, 1322, 353, 4213, 19, 204, 268, 23391, 322, 2107, 330, 2266, 275, 683, 1322, 353, 23391, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1576, 31, 394, 17, 4213, 31, 1109, 289, 1078, 17, 23391, 31, 1109, 289, 1078, 330, 204, 268, 320, 204, 268, 977, 273, 683, 1322, 440, 1576, 17, 4213, 1714, 17, 329, 23391, 1714, 19, 204, 204, 268, 457, 31, 204, 305, 1576, 322, 325, 330, 334, 1576, 348, 275, 683, 1322, 19, 204, 305, 4213, 322, 2107, 17, 1448, 330, 2266, 275, 683, 1322, 353, 4213, 19, 1243, 311, 1078, 19, 204, 305, 23391, 322, 2107, 17, 1448, 330, 2266, 275, 683, 1322, 353, 23391, 19, 1243, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 1181, 289, 1576, 204, 268, 370, 19, 5423, 289, 4213, 204, 268, 370, 19, 24041, 289, 23391, 204, 204, 204, 676, 44521, 31, 204, 264, 320, 204, 264, 2646, 273, 683, 9617, 440, 2910, 17, 20385, 1714, 17, 3219, 17, 26970, 17, 329, 683, 1187, 19, 204, 204, 264, 1532, 31, 204, 268, 2910, 322, 1218, 64, 5418, 1037, 332, 458, 302, 683, 2910, 19, 204, 268, 20385, 322, 2107, 330, 2266, 275, 683, 9617, 353, 20385, 19, 204, 268, 3219, 322, 325, 330, 334, 3219, 1576, 348, 275, 683, 9617, 19, 204, 268, 26970, 322, 325, 330, 334, 26970, 1576, 348, 275, 683, 9617, 19, 204, 268, 683, 68, 932, 322, 325, 330, 334, 1187, 302, 683, 9617, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2910, 31, 783, 64, 5418, 648, 20385, 31, 1109, 17, 3219, 31, 394, 289, 8488, 26970, 31, 394, 289, 8488, 683, 68, 932, 31, 394, 289, 379, 2663, 294, 742, 4448, 204, 268, 320, 204, 268, 977, 273, 683, 9617, 440, 2910, 17, 20385, 1714, 17, 3219, 17, 26970, 17, 329, 683, 1187, 19, 204, 204, 268, 457, 31, 204, 305, 2910, 322, 1218, 64, 5418, 1037, 332, 458, 302, 683, 2910, 19, 204, 305, 20385, 322, 2107, 330, 2266, 275, 683, 9617, 353, 20385, 19, 204, 305, 3219, 322, 325, 17, 1448, 330, 334, 3219, 1576, 348, 275, 683, 9617, 19, 1243, 311, 9434, 204, 305, 26970, 322, 325, 17, 1448, 330, 334, 26970, 1576, 348, 275, 683, 9617, 19, 1243, 311, 9434, 204, 305, 683, 68, 932, 322, 325, 17, 1448, 330, 334, 1187, 302, 683, 9617, 19, 1243, 311, 379, 2663, 294, 742, 2625, 204, 268, 320, 204, 268, 370, 19, 3871, 289, 2910, 204, 268, 370, 19, 18361, 747, 289, 20385, 204, 268, 370, 19, 5666, 289, 3219, 204, 268, 370, 19, 37219, 289, 26970, 204, 268, 370, 19, 804, 68, 932, 289, 683, 68, 932, 204, 204, 204, 676, 2001, 33449, 5418, 31, 204, 264, 320, 204, 264, 2646, 273, 28149, 683, 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, 1322, 440, 273, 588, 17, 1728, 17, 329, 967, 3379, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 683, 1322, 19, 204, 268, 1728, 322, 339, 330, 334, 1728, 25370, 348, 275, 683, 1322, 19, 204, 268, 967, 3379, 322, 1218, 64, 28115, 1037, 332, 458, 302, 683, 967, 3379, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 1728, 31, 421, 289, 443, 17, 967, 3379, 31, 783, 64, 28115, 66, 289, 443, 330, 204, 268, 320, 204, 268, 977, 273, 28149, 683, 1322, 440, 273, 588, 17, 1728, 17, 329, 967, 3379, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 683, 1322, 19, 204, 305, 1728, 322, 339, 17, 1448, 330, 334, 1728, 25370, 348, 275, 683, 1322, 19, 1243, 311, 443, 19, 204, 305, 967, 3379, 322, 1218, 64, 28115, 648, 1448, 330, 332, 458, 302, 683, 967, 3379, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2160, 289, 1728, 204, 268, 370, 19, 2919, 3379, 289, 967, 3379, 397, 967, 3379, 902, 1306, 204, 204, 204, 8, 666, 683, 2910, 204, 804, 68, 2059, 22, 289, 14131, 13, 204, 264, 1576, 1022, 45662, 314, 3665, 4260, 11076, 2964, 881, 275, 379, 6425, 12382, 14584, 15795, 1837, 13299, 83, 45662, 314, 521, 872, 6976, 19345, 490, 13310, 83, 45662, 379, 6425, 12382, 14584, 15795, 292, 28149, 19, 2185, 65, 83, 1021, 528, 204, 264, 4213, 34, 1975, 17, 204, 264, 23391, 34, 1975, 204, 14, 204, 204, 804, 68, 2059, 23, 289, 14131, 13, 204, 264, 1576, 833, 45662, 314, 3665, 874, 275, 1837, 292, 1214, 1435, 13299, 83, 12, 204, 413, 379, 45662, 314, 1101, 1214, 1019, 1741, 444, 9263, 13310, 83, 12, 204, 413, 388, 45662, 265, 289, 28149, 19, 2975, 611, 6425, 12382, 14584, 11938, 9267, 289, 959, 6239, 83, 7, 204, 413, 388, 45662, 265, 19, 3071, 611, 6425, 12382, 14584, 14, 3930, 1271, 13, 21, 6239, 83, 7, 204, 413, 379, 31159, 6221, 40670, 19, 21, 491, 204, 264, 4213, 34, 1975, 17, 204, 264, 23391, 34, 1975, 204, 14, 204, 204, 8, 666, 273, 683, 9617, 204, 804, 68, 13124, 289, 44521, 13, 204, 264, 2910, 3603, 804, 68, 2059, 22, 17, 683, 68, 2059, 23, 648, 204, 264, 20385, 34, 1021, 17, 204, 264, 3219, 18590, 204, 264, 26970, 18590, 204, 264, 683, 68, 932, 833, 2663, 294, 742, 12, 204, 14, 204, 204, 8, 666, 273, 28149, 683, 1322, 204, 1668, 33449, 68, 804, 68, 2059, 289, 2001, 33449, 5418, 13, 204, 264, 588, 833, 86, 24, 68, 23, 491, 204, 264, 1728, 34, 3170, 17, 204, 264, 967, 3379, 3603, 804, 68, 13124, 66, 204, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 1668, 33449, 68, 804, 68, 2059, 19, 417, 14, 204, 264, 348, 9617, 292, 28149, 68, 804, 68, 2059, 19, 2919, 3379, 31, 204, 268, 456, 13, 75, 7, 2346, 11177, 704, 31, 463, 13124, 19, 804, 68, 932, 743, 204, 268, 348, 1322, 292, 9617, 19, 3871, 31, 204, 305, 456, 13, 75, 7, 2346, 11846, 31, 463, 2059, 19, 1181, 743, 204, 0, 5265, 4438, 2499, 6960, 9913, 31309, 18127, 2465, 10158, 7819, 18599, 9580, 4129, 1822, 18, 13359, 14510, 13345, 204, 27341, 5265, 4438, 6233, 10265, 4304, 4068, 5556, 8075, 408, 8185, 3833, 31309, 45463, 25132, 9510, 408, 5958, 7764, 31309, 10528, 35071, 19090, 408, 42360, 5265, 4438, 31309, 18127, 2465, 10158, 2499, 6960, 9913, 9489, 35339, 408, 4136, 19846, 31309, 9153, 1524, 13353, 1684, 12577, 2169, 10, 8778, 408, 13561, 30971, 26323, 13426, 408, 8695, 5265, 4438, 7059, 4136, 19846, 31309, 15703, 16865, 1773, 11104, 568, 5265, 4438, 6960, 31309, 18127, 2465, 10158, 408, 9555, 1603, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 9014, 1002, 3178, 19090, 408, 14635, 1603, 4136, 31309, 19846, 19084, 9107, 2338, 408, 4136, 7819, 2366, 18599, 14687, 9580, 2860, 43679, 6960, 568, 204, 9768, 5265, 4438, 10265, 4304, 4068, 5556, 24655, 32882, 460, 9913, 10, 460, 18127, 4129, 10158, 33755, 6429, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 20742, 9014, 6371, 1002, 3178, 19090, 568, 12253, 31309, 18127, 2235, 10158, 1951, 6809, 408, 5265, 4438, 21133, 31309, 18127, 3248, 8075, 1227, 6326, 7819, 1284, 15306, 2370, 31809, 3013, 3304, 21816, 9903, 2338, 11900, 39906, 24504, 12037, 5265, 4438, 31309, 5038, 921, 7764, 17889, 11567, 24504, 408, 29491, 6583, 7282, 1262, 21816, 37176, 18639, 31309, 19539, 32874, 3654, 568, 204, 3167, 17379, 408, 24919, 14882, 1565, 26, 36507, 408, 4136, 31309, 3560, 46585, 21007, 41254, 32896, 19, 22, 28118, 408, 30487, 7879, 19, 28, 10, 19846, 31309, 9153, 1524, 11476, 31309, 13353, 1684, 12577, 2169, 10, 8778, 568, 3136, 34084, 408, 4136, 31309, 4127, 3725, 13561, 30971, 26323, 13426, 408, 5265, 4438, 725, 6523, 1550, 39489, 725, 30697, 7678, 4136, 19846, 31309, 15703, 16865, 1773, 568, 3136, 25213, 5265, 4438, 6960, 31309, 18127, 2465, 10158, 408, 9555, 1603, 5265, 4438, 31309, 10528, 9143, 2338, 18127, 9014, 1002, 3178, 19090, 408, 1886, 1603, 4136, 31309, 19846, 35801, 5459, 10444, 9304, 568, 30548, 30971, 15728, 19846, 31309, 408, 40765, 11476, 460, 7819, 2366, 33594, 725, 7819, 2366, 18599, 1955, 3560, 9580, 7858, 19998, 7780, 408, 5265, 4438, 31309, 18127, 2465, 10158, 460, 6960, 408, 5827, 5083, 1456, 9145, 4136, 7819, 2366, 18599, 3560, 9580, 408, 4264, 7115, 43968, 6233, 9980, 2112, 45330, 725, 5673, 20342, 5151, 14871, 725, 47100, 7819, 2366, 18599, 19846, 1951, 33755, 1955, 37363, 15877, 7819, 2366, 19104, 725, 7819, 2366, 18599, 5038, 408, 4762, 15098, 831, 2494, 11436, 568, 0, 647, 1361, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1061, 204, 204, 8, 968, 273, 2082, 348, 275, 2413, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 6419, 436, 838, 68, 1957, 68, 7492, 13, 7492, 68, 481, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 2605, 273, 717, 4263, 292, 275, 1104, 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, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 481, 31, 332, 955, 1174, 4263, 1483, 17, 2864, 588, 17, 1714, 17, 12289, 88, 17, 329, 6398, 68, 2340, 12737, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 955, 440, 273, 379, 1181, 12, 329, 379, 1454, 12, 5850, 275, 5889, 302, 275, 2661, 19, 204, 264, 320, 204, 264, 314, 3866, 275, 4263, 424, 2518, 7770, 204, 264, 3587, 68, 1300, 289, 4177, 3893, 68, 7492, 68, 481, 13, 7492, 68, 481, 14, 204, 264, 397, 3587, 68, 1300, 736, 1181, 839, 2167, 379, 21, 597, 204, 268, 407, 3587, 68, 1300, 204, 204, 264, 810, 31, 204, 268, 314, 2069, 273, 717, 4263, 1222, 204, 268, 717, 68, 7492, 68, 359, 289, 4177, 1900, 68, 2715, 68, 7492, 68, 359, 374, 204, 204, 268, 314, 1986, 4263, 424, 204, 268, 4263, 68, 417, 289, 4263, 68, 481, 736, 417, 839, 204, 268, 1714, 289, 4263, 68, 481, 736, 1835, 839, 204, 268, 12289, 88, 289, 4263, 68, 481, 736, 2340, 12737, 839, 204, 268, 6398, 68, 2340, 12737, 289, 4263, 68, 481, 736, 4266, 68, 2340, 12737, 839, 204, 204, 268, 314, 666, 275, 717, 4263, 204, 268, 4177, 838, 68, 7492, 13, 1957, 68, 7492, 68, 359, 17, 4263, 68, 417, 17, 1714, 14, 204, 268, 4177, 2106, 68, 7492, 68, 33163, 1110, 13, 1957, 68, 7492, 68, 359, 17, 12289, 88, 14, 204, 268, 4177, 2106, 68, 7492, 68, 2539, 68, 33163, 1110, 13, 1957, 68, 7492, 68, 359, 17, 6398, 68, 2340, 12737, 14, 204, 204, 268, 407, 2552, 1181, 597, 379, 21, 491, 379, 1454, 597, 379, 15123, 1966, 4073, 6241, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 2710, 348, 17114, 5356, 204, 268, 2082, 19, 718, 13, 75, 7, 596, 4141, 4263, 31, 463, 74, 743, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 3504, 311, 838, 4263, 6241, 204, 204, 6419, 436, 3893, 68, 7492, 68, 481, 13, 7492, 68, 481, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 11149, 4263, 424, 2518, 7770, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 481, 31, 332, 955, 1174, 4263, 1483, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 955, 440, 273, 379, 1181, 12, 329, 379, 1454, 12, 5850, 275, 3587, 5889, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 4263, 588, 353, 1392, 204, 264, 397, 508, 4263, 68, 481, 19, 505, 499, 417, 6471, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 15123, 588, 2950, 444, 1392, 6241, 204, 204, 264, 314, 778, 397, 275, 4263, 588, 2861, 2560, 204, 264, 397, 4177, 1356, 68, 7492, 68, 417, 68, 4332, 13, 7492, 68, 481, 1166, 417, 28133, 204, 268, 407, 2552, 1181, 597, 6159, 22, 491, 379, 1454, 597, 379, 15123, 588, 2861, 2560, 6241, 204, 204, 264, 407, 2552, 1181, 597, 379, 21, 491, 379, 1454, 597, 379, 17189, 2707, 6241, 204, 204, 6419, 436, 1356, 68, 7492, 68, 417, 68, 4332, 13, 7492, 68, 417, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 4263, 440, 275, 800, 588, 2861, 2560, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 417, 31, 334, 588, 302, 275, 4263, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 264, 338, 959, 397, 275, 4263, 2560, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 37283, 1484, 311, 5068, 4053, 21411, 204, 264, 3790, 289, 388, 7097, 24748, 13, 21, 14, 7281, 265, 68, 7492, 8888, 548, 32977, 13, 417, 14, 289, 1564, 88, 7, 204, 264, 722, 289, 4177, 4470, 68, 664, 482, 590, 19, 2120, 68, 389, 13, 4655, 17, 322, 7492, 68, 417, 19, 5231, 2144, 602, 204, 264, 407, 722, 64, 21, 66, 1323, 500, 204, 204, 6419, 436, 1900, 68, 2715, 68, 7492, 68, 359, 374, 393, 421, 31, 204, 264, 320, 204, 264, 6071, 275, 1682, 2755, 4263, 1222, 19, 204, 204, 264, 475, 31, 204, 264, 338, 334, 1682, 2755, 4263, 1222, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 1900, 275, 1682, 4263, 1222, 204, 264, 314, 1765, 6893, 5356, 17, 5257, 490, 677, 273, 3277, 36798, 1222, 204, 264, 3790, 289, 388, 7097, 8438, 13, 359, 14, 7281, 265, 68, 7492, 7, 204, 264, 722, 289, 4177, 4470, 68, 664, 482, 590, 19, 2120, 68, 389, 13, 4655, 14, 204, 264, 407, 722, 64, 21, 66, 465, 368, 397, 722, 64, 21, 66, 353, 508, 443, 902, 368, 204, 204, 6419, 436, 838, 68, 7492, 13, 7492, 68, 359, 31, 421, 17, 4263, 68, 417, 31, 394, 17, 1714, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 4263, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 838, 19, 204, 264, 338, 4263, 68, 417, 31, 334, 588, 302, 275, 4263, 311, 838, 19, 204, 264, 338, 1714, 31, 334, 1714, 302, 275, 4263, 311, 838, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 37283, 1484, 311, 5068, 4053, 21411, 204, 264, 3790, 289, 320, 14483, 12377, 265, 68, 7492, 322, 359, 17, 588, 17, 1714, 17, 5247, 68, 672, 17, 16291, 17, 1673, 68, 2045, 68, 672, 17, 8726, 730, 14, 204, 4535, 12804, 18958, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 14, 315, 204, 264, 4177, 4470, 68, 664, 482, 590, 19, 5472, 68, 4655, 13, 4655, 17, 322, 7492, 68, 359, 17, 4263, 68, 417, 17, 1714, 17, 1804, 19, 1520, 2144, 379, 3349, 38, 491, 1804, 19, 1520, 2144, 379, 3349, 38, 3063, 204, 204, 6419, 436, 2106, 68, 7492, 68, 33163, 1110, 13, 7492, 68, 359, 31, 421, 17, 12289, 88, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 28679, 348, 273, 4263, 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, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 2106, 28679, 348, 19, 204, 264, 338, 12289, 88, 31, 334, 28679, 311, 2106, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 2106, 275, 4263, 28679, 204, 264, 1879, 204, 204, 6419, 436, 2106, 68, 7492, 68, 2539, 68, 33163, 1110, 13, 7492, 68, 359, 31, 421, 17, 6398, 68, 2340, 12737, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 741, 28679, 348, 273, 4263, 19, 204, 204, 264, 457, 31, 204, 264, 338, 4263, 68, 359, 31, 334, 1222, 302, 275, 4263, 311, 2106, 741, 28679, 348, 19, 204, 264, 338, 6398, 68, 2340, 12737, 31, 334, 741, 28679, 311, 2106, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 2106, 275, 4263, 741, 28679, 204, 264, 1879, 204, 0, 461, 353, 68, 1018, 68, 1663, 13, 1663, 31, 458, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 537, 353, 273, 1097, 1525, 322, 78, 19, 74, 2458, 273, 458, 302, 3330, 789, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 330, 334, 537, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 537, 353, 273, 1097, 1525, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 458, 329, 830, 1163, 1842, 529, 1425, 3330, 204, 264, 407, 2381, 13, 1663, 17, 458, 14, 329, 830, 13, 12090, 13, 937, 17, 458, 14, 348, 1237, 292, 1525, 14, 204, 204, 204, 461, 2415, 68, 1663, 13, 768, 68, 1663, 31, 458, 64, 655, 64, 339, 1152, 818, 4097, 393, 458, 64, 655, 64, 339, 1152, 818, 2440, 204, 264, 320, 204, 264, 9748, 275, 1842, 302, 273, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1663, 322, 655, 64, 655, 64, 339, 1152, 818, 3795, 334, 537, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 1152, 818, 2440, 334, 8030, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 1097, 1525, 521, 3192, 1950, 18, 12011, 1019, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 353, 273, 1097, 1525, 204, 264, 397, 508, 353, 68, 1018, 68, 1663, 13, 768, 68, 1663, 330, 204, 268, 980, 987, 499, 1962, 1525, 431, 204, 204, 264, 314, 778, 397, 275, 1525, 3192, 1950, 18, 12011, 1019, 204, 264, 397, 508, 830, 13, 12090, 13, 1849, 17, 322, 339, 17, 818, 602, 348, 1237, 292, 537, 68, 1663, 348, 1103, 292, 1237, 330, 204, 268, 980, 987, 499, 11767, 3192, 1950, 18, 12011, 1019, 431, 204, 204, 264, 314, 9748, 275, 1842, 302, 275, 1525, 974, 458, 6459, 204, 264, 8030, 68, 1663, 289, 5787, 1849, 930, 435, 348, 1103, 292, 1237, 66, 348, 1237, 292, 537, 68, 1663, 66, 204, 264, 407, 8030, 68, 1663, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 1525, 289, 5787, 22, 17, 435, 17, 571, 648, 551, 25, 17, 720, 17, 887, 2629, 204, 264, 810, 31, 204, 268, 8030, 289, 2415, 68, 1663, 13, 1663, 14, 204, 268, 456, 499, 41101, 9260, 2212, 204, 268, 348, 1237, 292, 8030, 31, 204, 305, 456, 13, 937, 14, 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, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 17334, 448, 275, 667, 2901, 917, 348, 275, 1650, 19, 204, 3837, 36860, 273, 1727, 311, 275, 1104, 329, 6944, 275, 2924, 9166, 19, 204, 315, 204, 204, 531, 1863, 532, 1451, 68, 2819, 68, 2602, 204, 531, 24536, 532, 1523, 68, 3424, 68, 816, 68, 9259, 204, 531, 1361, 532, 25530, 17, 24452, 204, 204, 8, 666, 273, 2082, 311, 2906, 2805, 329, 2744, 204, 3342, 289, 25530, 3843, 417, 4422, 204, 204, 461, 7087, 68, 2819, 68, 2602, 374, 393, 443, 31, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 275, 1104, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 273, 1727, 311, 275, 1104, 204, 268, 1104, 68, 2602, 289, 1451, 68, 2819, 68, 2602, 374, 204, 268, 407, 1104, 68, 2602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2805, 496, 1336, 1882, 1104, 1727, 204, 268, 2082, 19, 718, 13, 75, 7, 3504, 311, 7087, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1523, 68, 5580, 13, 2819, 68, 2602, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 2924, 9166, 440, 275, 1917, 1104, 1727, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 2602, 31, 334, 7634, 1104, 1727, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2466, 275, 2924, 9166, 440, 275, 1104, 1727, 204, 268, 1523, 68, 3424, 68, 3802, 13, 2819, 68, 2602, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2805, 496, 1336, 1882, 1650, 5156, 204, 268, 2082, 19, 718, 13, 75, 7, 2021, 908, 3129, 1882, 1650, 5156, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 1650, 19, 204, 204, 264, 22548, 273, 1727, 311, 275, 1104, 329, 6944, 275, 2924, 9166, 19, 204, 264, 320, 204, 264, 314, 1359, 275, 1361, 1870, 311, 24452, 204, 264, 2082, 19, 12419, 13, 8252, 14, 204, 204, 264, 314, 9050, 273, 1727, 311, 275, 1104, 204, 264, 1104, 68, 2602, 289, 7087, 68, 2819, 68, 2602, 374, 204, 204, 264, 314, 778, 397, 275, 1104, 1727, 867, 2707, 204, 264, 397, 1104, 68, 2602, 31, 204, 268, 314, 2466, 275, 1650, 440, 275, 7634, 1104, 1727, 204, 268, 1523, 68, 5580, 13, 2819, 68, 2602, 14, 204, 264, 902, 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, 268, 314, 2175, 437, 908, 397, 275, 1104, 1727, 5585, 204, 268, 2082, 19, 718, 499, 3504, 311, 7087, 1104, 1727, 19, 9258, 34590, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 1687, 368, 31, 10721, 311, 14712, 677, 24901, 204, 25835, 677, 24901, 353, 273, 6542, 1581, 496, 25040, 5544, 9728, 6542, 3454, 322, 21, 17, 368, 17, 318, 17, 296, 17, 329, 5780, 14, 329, 2327, 4802, 6542, 2758, 322, 24683, 17, 6177, 17, 329, 19883, 14, 292, 273, 2875, 1581, 31, 686, 74, 1881, 78, 65, 1460, 98, 465, 368, 289, 500, 2176, 2416, 3126, 808, 6572, 17, 572, 1519, 311, 2280, 1873, 1163, 4550, 17, 2864, 3263, 17, 12701, 17, 17488, 3196, 17, 329, 3700, 886, 19, 204, 204, 658, 1687, 435, 31, 12775, 10860, 329, 41599, 204, 38, 741, 353, 273, 7159, 1283, 273, 758, 302, 3806, 322, 10277, 275, 4064, 14, 329, 273, 758, 302, 2237, 6360, 322, 10277, 275, 933, 789, 334, 5442, 302, 273, 741, 4504, 275, 2233, 302, 2652, 302, 275, 741, 677, 919, 440, 4130, 311, 1051, 302, 1163, 3806, 19, 1765, 1763, 17, 275, 5442, 302, 686, 75, 13, 93, 14, 289, 610, 67, 23, 9, 353, 686, 75, 5822, 93, 14, 289, 435, 93, 2543, 928, 3210, 496, 348, 2589, 2350, 2931, 292, 610, 17, 275, 919, 302, 686, 75, 13, 93, 3920, 7529, 560, 686, 23, 93, 9, 4099, 19, 204, 204, 658, 1687, 571, 31, 45743, 275, 9554, 12469, 302, 26050, 204, 673, 9554, 12469, 302, 26050, 3584, 496, 397, 686, 75, 13, 93, 14, 289, 1711, 67, 71, 2543, 1675, 686, 75, 5822, 93, 14, 289, 995, 93, 1881, 71, 18, 22, 4742, 1058, 4090, 353, 6456, 348, 6154, 275, 12701, 302, 5326, 3263, 329, 353, 273, 896, 4781, 292, 3356, 4059, 14712, 677, 24901, 19, 204, 204, 658, 1687, 681, 31, 10721, 311, 17488, 10665, 204, 38, 17488, 3196, 353, 273, 2501, 311, 1173, 273, 741, 448, 437, 11015, 1066, 302, 3099, 496, 529, 8286, 292, 3099, 302, 275, 1019, 302, 275, 741, 677, 12701, 630, 273, 2875, 917, 19, 334, 17488, 3196, 348, 273, 741, 686, 75, 13, 93, 3920, 3332, 686, 93, 289, 500, 9, 353, 800, 560, 686, 75, 13, 93, 14, 289, 283, 13, 21, 14, 465, 283, 5822, 21, 14, 93, 465, 688, 1209, 96, 75, 21586, 21, 9844, 23, 29121, 93, 67, 23, 465, 688, 1209, 96, 75, 7848, 5822, 21, 9844, 24, 29121, 93, 67, 24, 465, 688, 18455, 2176, 204, 204, 658, 1687, 720, 31, 12597, 4059, 275, 17488, 10665, 348, 686, 74, 67, 93, 9, 204, 4931, 275, 3718, 496, 275, 5442, 302, 686, 74, 67, 93, 9, 353, 686, 74, 67, 93, 2543, 572, 618, 14989, 275, 17488, 3196, 348, 686, 74, 67, 93, 9, 448, 686, 74, 67, 93, 289, 368, 465, 610, 465, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 465, 688, 1209, 96, 93, 67, 24, 1134, 24, 29121, 465, 688, 18455, 2176, 204, 204, 658, 1687, 887, 31, 12775, 38688, 329, 35776, 10860, 204, 673, 10362, 329, 10115, 3263, 618, 444, 6717, 448, 17488, 3196, 31, 1743, 2883, 610, 289, 610, 338, 688, 1209, 96, 93, 67, 24, 1134, 24, 29121, 465, 688, 1209, 96, 93, 67, 26, 1134, 26, 29121, 338, 688, 18455, 9, 329, 1743, 2809, 610, 289, 368, 338, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 465, 688, 1209, 96, 93, 67, 25, 1134, 25, 29121, 338, 688, 18455, 2176, 204, 204, 658, 1687, 1168, 31, 10721, 311, 12503, 8587, 204, 25381, 886, 529, 886, 496, 618, 444, 8286, 292, 275, 798, 686, 70, 465, 6975, 2543, 1273, 686, 70, 9, 329, 686, 71, 9, 529, 2318, 886, 329, 686, 78, 9, 353, 275, 15059, 2350, 17, 928, 12478, 686, 78, 67, 23, 289, 338, 22, 2176, 204, 204, 658, 1687, 1132, 31, 12597, 4059, 14712, 677, 24901, 204, 3609, 23751, 686, 1077, 9, 348, 686, 93, 9, 292, 275, 17488, 3196, 348, 686, 74, 67, 93, 2543, 572, 636, 686, 74, 1881, 1077, 98, 289, 368, 465, 38181, 338, 688, 1209, 96, 93, 67, 23, 1134, 23, 29121, 338, 688, 1209, 96, 1077, 67, 24, 1134, 24, 29121, 465, 688, 18455, 2176, 4496, 275, 17488, 3196, 348, 10362, 329, 10115, 17, 572, 618, 9721, 808, 448, 686, 74, 1881, 1077, 98, 289, 688, 2809, 610, 465, 296, 65, 2883, 610, 2176, 24419, 686, 93, 289, 688, 1460, 2543, 572, 636, 686, 74, 1881, 78, 65, 1460, 98, 289, 688, 2809, 688, 1460, 465, 296, 65, 2883, 688, 1460, 289, 338, 22, 2176, 6263, 17, 686, 74, 1881, 78, 65, 1460, 98, 465, 368, 289, 500, 2543, 928, 353, 14712, 677, 24901, 19, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 96, 74, 1881, 78, 65, 1460, 98, 338, 368, 289, 500, 1617, 0, 461, 1040, 68, 3641, 68, 633, 68, 43369, 68, 30300, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 3942, 311, 5288, 275, 1913, 302, 273, 32126, 440, 300, 25048, 17, 204, 264, 1273, 273, 1874, 618, 20968, 4260, 368, 521, 435, 25048, 630, 273, 690, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 542, 302, 25048, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3942, 311, 5288, 275, 1913, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 300, 353, 508, 273, 2140, 1534, 19, 204, 264, 320, 204, 264, 397, 508, 2381, 13, 83, 17, 421, 14, 521, 300, 2186, 500, 31, 204, 268, 980, 987, 499, 83, 1631, 444, 273, 2140, 1534, 431, 204, 204, 264, 314, 3301, 2910, 204, 264, 397, 300, 564, 368, 31, 204, 268, 314, 3065, 677, 1698, 1051, 2501, 311, 20968, 368, 20619, 322, 22, 1660, 14, 204, 268, 407, 368, 204, 264, 1677, 300, 564, 435, 31, 204, 268, 314, 3065, 529, 970, 3942, 311, 20968, 435, 25048, 322, 22, 16, 22, 521, 435, 14, 204, 268, 407, 435, 204, 204, 264, 314, 977, 273, 458, 311, 1640, 275, 542, 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, 3942, 311, 5288, 848, 20619, 204, 264, 3942, 68, 633, 68, 43369, 289, 551, 21, 66, 540, 322, 83, 465, 368, 14, 204, 264, 3942, 68, 633, 68, 43369, 64, 22, 66, 289, 368, 204, 264, 3942, 68, 633, 68, 43369, 64, 23, 66, 289, 435, 204, 204, 264, 314, 888, 275, 542, 302, 3942, 311, 5288, 848, 20619, 974, 8175, 7786, 204, 264, 348, 790, 68, 45234, 292, 933, 13, 24, 17, 300, 465, 368, 330, 204, 268, 314, 334, 542, 302, 3942, 311, 5288, 275, 790, 20619, 353, 275, 1066, 302, 275, 3942, 311, 5288, 275, 3090, 970, 25048, 204, 268, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 66, 289, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 338, 368, 66, 465, 3942, 68, 633, 68, 43369, 64, 1976, 68, 45234, 338, 435, 66, 204, 204, 264, 407, 3942, 68, 633, 68, 43369, 64, 83, 66, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1295, 2910, 204, 264, 348, 771, 68, 30300, 292, 933, 13, 22, 17, 887, 330, 204, 268, 456, 13, 75, 7, 4290, 302, 3942, 311, 20968, 463, 920, 68, 30300, 98, 25048, 31, 463, 765, 68, 3641, 68, 633, 68, 43369, 68, 30300, 13, 920, 68, 30300, 3835, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 315, 204, 3732, 1174, 275, 424, 570, 348, 18044, 2147, 1640, 2696, 19, 204, 315, 204, 204, 647, 7693, 204, 204, 676, 5403, 12909, 4307, 13, 14569, 19, 4307, 330, 204, 264, 320, 204, 264, 2646, 273, 18044, 1184, 497, 273, 2147, 1640, 17, 1174, 6826, 1483, 19, 204, 204, 264, 1532, 31, 204, 268, 2147, 4046, 68, 9919, 322, 325, 330, 334, 1274, 302, 275, 2147, 1640, 19, 204, 268, 1640, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2147, 1640, 19, 204, 268, 2147, 4046, 68, 2201, 322, 325, 330, 334, 1870, 302, 275, 2147, 1640, 19, 204, 268, 2147, 4046, 68, 932, 322, 325, 330, 334, 1187, 302, 275, 2147, 1640, 19, 204, 268, 7612, 68, 920, 322, 339, 330, 334, 1113, 542, 302, 26178, 322, 17683, 774, 494, 17, 14956, 17, 329, 19506, 789, 204, 268, 7361, 322, 325, 330, 334, 6374, 302, 275, 2147, 1640, 19, 204, 268, 1225, 68, 834, 322, 325, 330, 334, 6160, 3658, 302, 275, 2147, 1640, 19, 204, 268, 1995, 322, 325, 330, 334, 1995, 302, 275, 2147, 1640, 19, 204, 268, 7361, 68, 920, 322, 339, 330, 334, 542, 302, 11857, 348, 275, 2147, 1640, 19, 204, 268, 774, 272, 68, 920, 322, 339, 330, 334, 542, 302, 774, 272, 8599, 19, 204, 268, 6618, 68, 920, 322, 339, 330, 334, 542, 302, 14956, 8599, 19, 204, 268, 4185, 68, 920, 322, 339, 330, 334, 542, 302, 19506, 8599, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 2357, 348, 275, 1184, 204, 264, 2147, 4046, 68, 9919, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1274, 204, 264, 1640, 68, 417, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 588, 204, 264, 2147, 4046, 68, 2201, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1870, 204, 264, 2147, 4046, 68, 932, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1187, 204, 264, 7612, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 7867, 7612, 1040, 204, 264, 7361, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 6374, 204, 264, 1225, 68, 834, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 19496, 3658, 204, 264, 1995, 31, 394, 289, 7693, 19, 1186, 374, 226, 314, 6993, 1995, 204, 264, 7361, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 3239, 302, 11857, 204, 264, 774, 272, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 15256, 272, 1552, 1040, 204, 264, 6618, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 31530, 11229, 1552, 1040, 204, 264, 4185, 68, 920, 31, 421, 289, 7693, 19, 1186, 374, 226, 314, 3300, 17018, 1552, 1040, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 5403, 12909, 4307, 19, 204, 268, 320, 204, 268, 407, 283, 7, 11424, 12909, 4307, 13, 4046, 68, 417, 2508, 327, 736, 4046, 68, 417, 18570, 2147, 4046, 68, 9919, 2508, 327, 736, 5365, 4046, 68, 9919, 839, 9222, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 475, 273, 955, 2355, 302, 275, 5403, 12909, 4307, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 5365, 4046, 68, 9919, 559, 370, 1166, 5365, 4046, 68, 9919, 2869, 204, 305, 388, 4046, 68, 417, 559, 370, 1166, 4046, 68, 417, 2869, 204, 305, 388, 5365, 4046, 68, 2201, 559, 370, 1166, 5365, 4046, 68, 2201, 2869, 204, 305, 388, 5365, 4046, 68, 932, 559, 370, 1166, 5365, 4046, 68, 932, 2869, 204, 305, 388, 16293, 68, 920, 559, 370, 1166, 16293, 68, 920, 2869, 204, 305, 388, 17558, 559, 370, 1166, 17558, 2869, 204, 305, 388, 1208, 68, 834, 559, 370, 1166, 1208, 68, 834, 2869, 204, 305, 388, 2820, 559, 370, 1166, 2820, 2869, 204, 305, 388, 17558, 68, 920, 559, 370, 1166, 17558, 68, 920, 2869, 204, 305, 388, 605, 272, 68, 920, 559, 370, 1166, 605, 272, 68, 920, 2869, 204, 305, 388, 46106, 68, 920, 559, 370, 1166, 46106, 68, 920, 2869, 204, 305, 388, 2714, 68, 920, 559, 370, 1166, 2714, 68, 920, 2869, 204, 268, 1211, 204, 0, 531, 5920, 532, 7826, 204, 531, 1498, 532, 783, 17, 1884, 204, 204, 461, 5345, 68, 2700, 13, 2700, 31, 783, 64, 1218, 64, 325, 4097, 393, 1884, 64, 339, 17, 421, 17, 421, 17, 421, 17, 783, 64, 1218, 64, 2107, 10778, 204, 264, 320, 204, 264, 977, 275, 2333, 329, 1020, 275, 1012, 329, 4297, 1728, 19, 204, 204, 264, 457, 31, 204, 264, 2333, 322, 1218, 64, 1218, 64, 325, 3795, 332, 435, 41, 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, 458, 2457, 275, 2333, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 339, 17, 421, 17, 421, 17, 421, 17, 783, 64, 1218, 64, 2107, 10778, 332, 927, 1174, 275, 1012, 1237, 17, 1012, 1837, 17, 716, 264, 4297, 1237, 17, 4297, 1837, 17, 329, 273, 435, 41, 458, 2457, 275, 4371, 4207, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 264, 3015, 17, 2630, 289, 1245, 13, 2700, 659, 1245, 13, 2700, 64, 21, 694, 204, 615, 264, 314, 977, 273, 435, 41, 458, 311, 3550, 3234, 302, 4371, 4207, 204, 264, 4371, 289, 5787, 1975, 348, 906, 292, 933, 13, 3786, 2395, 348, 906, 292, 933, 13, 3173, 2395, 204, 615, 264, 314, 977, 2558, 311, 1640, 275, 1012, 329, 4297, 1728, 204, 264, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4297, 68, 937, 17, 4297, 68, 3071, 289, 338, 22, 17, 338, 22, 17, 338, 22, 17, 338, 22, 204, 615, 264, 314, 1861, 1048, 275, 2333, 311, 1020, 275, 1012, 329, 4297, 1728, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 348, 781, 292, 933, 13, 3786, 330, 204, 305, 314, 5979, 275, 2092, 448, 4371, 397, 490, 677, 273, 5999, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 33921, 204, 485, 4371, 64, 78, 1799, 79, 66, 289, 959, 204, 305, 314, 1716, 275, 1012, 917, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 379, 88, 597, 204, 485, 1012, 68, 937, 17, 1012, 68, 3071, 289, 296, 17, 781, 204, 305, 314, 1716, 275, 4297, 917, 204, 305, 397, 2333, 64, 78, 1799, 79, 66, 564, 379, 73, 597, 204, 485, 4297, 68, 937, 17, 4297, 68, 3071, 289, 296, 17, 781, 204, 7933, 264, 407, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4297, 68, 937, 17, 4297, 68, 3071, 17, 4371, 204, 204, 204, 461, 35750, 13, 2700, 31, 783, 64, 1218, 64, 325, 4395, 1012, 68, 937, 31, 421, 17, 1012, 68, 3071, 31, 421, 17, 4371, 31, 783, 64, 1218, 64, 2107, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 3055, 273, 15715, 18, 2922, 1813, 311, 1020, 275, 8468, 832, 497, 275, 1012, 917, 311, 275, 4297, 917, 19, 204, 204, 264, 457, 31, 204, 264, 2333, 322, 1218, 64, 1218, 64, 325, 3795, 332, 435, 41, 458, 2457, 275, 2333, 19, 204, 264, 1012, 68, 937, 322, 339, 330, 334, 1237, 302, 275, 1012, 917, 19, 204, 264, 1012, 68, 3071, 322, 339, 330, 334, 1837, 302, 275, 1012, 917, 19, 204, 264, 4371, 322, 1218, 64, 1218, 64, 2107, 3795, 332, 435, 41, 458, 2457, 275, 4371, 4207, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1759, 311, 275, 4297, 917, 397, 1193, 17, 338, 22, 2130, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 2333, 204, 264, 3015, 17, 2630, 289, 1245, 13, 2700, 659, 1245, 13, 2700, 64, 21, 694, 204, 615, 264, 314, 666, 273, 2769, 348, 19040, 329, 881, 275, 1012, 917, 204, 264, 2769, 289, 7826, 19748, 1530, 68, 937, 17, 1012, 68, 3071, 17, 500, 7971, 204, 615, 264, 314, 5979, 275, 1012, 917, 448, 4371, 204, 264, 4371, 64, 1530, 68, 937, 1799, 1530, 68, 3071, 66, 289, 959, 204, 615, 264, 314, 968, 275, 2237, 12773, 322, 398, 17, 1873, 17, 1824, 17, 1629, 14, 204, 264, 12773, 289, 29114, 22, 17, 500, 659, 322, 22, 17, 500, 659, 322, 21, 17, 338, 22, 659, 322, 21, 17, 368, 2395, 204, 615, 264, 314, 3055, 19040, 204, 264, 1335, 2769, 31, 204, 268, 1237, 17, 1837, 17, 1759, 289, 2769, 19, 17387, 374, 204, 822, 268, 314, 778, 397, 275, 790, 2092, 353, 275, 4297, 204, 268, 397, 2333, 64, 937, 1799, 3071, 66, 564, 379, 73, 597, 204, 305, 407, 1759, 204, 822, 268, 314, 19947, 275, 7343, 204, 268, 348, 4180, 17, 21255, 292, 12773, 31, 204, 305, 717, 68, 937, 17, 717, 68, 3071, 289, 1237, 465, 4180, 17, 1837, 465, 21255, 204, 3123, 305, 314, 778, 397, 275, 6199, 353, 2614, 275, 2333, 10873, 329, 508, 4371, 204, 305, 397, 322, 21, 2186, 717, 68, 937, 962, 3015, 329, 500, 2186, 717, 68, 3071, 962, 2630, 329, 204, 895, 508, 4371, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 329, 2333, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 2167, 12072, 4448, 204, 485, 314, 1255, 275, 6199, 311, 275, 2769, 329, 2434, 490, 448, 4371, 204, 485, 2769, 19, 1223, 1802, 1957, 68, 937, 17, 717, 68, 3071, 17, 1759, 465, 368, 602, 204, 485, 4371, 64, 1957, 68, 937, 1799, 1957, 68, 3071, 66, 289, 959, 204, 7933, 264, 314, 455, 338, 22, 397, 275, 4297, 353, 508, 22416, 204, 264, 407, 338, 22, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 2333, 204, 264, 2333, 289, 31099, 21, 491, 33497, 379, 21, 491, 379, 88, 2043, 204, 305, 2470, 27602, 379, 21, 491, 33497, 12072, 2043, 204, 305, 2470, 21, 491, 33497, 33497, 12072, 2043, 204, 305, 2470, 73, 491, 33497, 33497, 12072, 11653, 204, 615, 264, 314, 977, 275, 2333, 329, 1020, 275, 1012, 329, 4297, 1728, 204, 264, 1012, 68, 937, 17, 1012, 68, 3071, 17, 6915, 6915, 4371, 289, 5345, 68, 2700, 13, 2700, 14, 204, 615, 264, 314, 3055, 19040, 311, 1020, 275, 8468, 832, 204, 264, 1759, 289, 35750, 13, 2700, 17, 1012, 68, 937, 17, 1012, 68, 3071, 17, 4371, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 397, 1759, 2167, 338, 22, 31, 204, 268, 456, 13, 75, 7, 673, 8468, 1759, 311, 275, 4297, 353, 463, 3174, 743, 204, 264, 902, 31, 204, 268, 456, 499, 673, 4297, 353, 508, 22416, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7826, 204, 531, 1498, 532, 783, 17, 1359, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4143, 537, 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, 497, 275, 575, 329, 2584, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 542, 302, 2731, 17, 3885, 17, 329, 19058, 3885, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 264, 407, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 204, 204, 461, 1151, 68, 5729, 13, 920, 68, 5729, 31, 421, 17, 771, 68, 3076, 31, 421, 14, 393, 783, 64, 3029, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 3885, 497, 275, 575, 329, 2584, 273, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 7343, 302, 273, 944, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 5729, 322, 339, 330, 334, 542, 302, 3885, 19, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 3029, 64, 339, 2440, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 7343, 302, 273, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 458, 302, 3416, 311, 1640, 275, 7343, 302, 848, 944, 204, 264, 7343, 289, 551, 574, 374, 348, 906, 292, 933, 13, 920, 68, 3076, 465, 368, 2395, 204, 615, 264, 314, 1606, 275, 3885, 497, 275, 575, 329, 1395, 275, 7343, 458, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5729, 330, 204, 268, 944, 22, 17, 944, 23, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 268, 7343, 64, 1241, 22, 1664, 826, 13, 1241, 23, 14, 204, 268, 7343, 64, 1241, 23, 1664, 826, 13, 1241, 22, 14, 204, 615, 264, 407, 7343, 204, 204, 461, 949, 68, 4319, 13, 920, 68, 3076, 31, 421, 17, 8120, 31, 783, 64, 3029, 64, 339, 4395, 19058, 31, 783, 64, 3029, 64, 339, 4097, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 3989, 275, 3703, 348, 848, 944, 1609, 523, 275, 542, 302, 8120, 329, 19058, 3885, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 19, 204, 268, 8120, 322, 1218, 64, 3029, 64, 339, 3795, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 8120, 302, 273, 944, 19, 204, 268, 19058, 322, 1218, 64, 3029, 64, 339, 3795, 332, 458, 302, 3416, 17, 1273, 848, 758, 4504, 275, 19058, 3885, 302, 273, 944, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 339, 744, 332, 458, 302, 3703, 17, 1273, 848, 2279, 4504, 275, 542, 302, 2731, 496, 618, 444, 7486, 560, 273, 944, 19, 204, 264, 320, 204, 264, 314, 977, 273, 458, 311, 1640, 275, 3703, 302, 848, 944, 204, 264, 3703, 289, 551, 21, 66, 540, 322, 920, 68, 3076, 465, 368, 14, 204, 615, 264, 314, 977, 273, 458, 311, 3550, 3234, 302, 4371, 2731, 204, 264, 4371, 289, 551, 1975, 66, 540, 322, 920, 68, 3076, 465, 368, 14, 204, 615, 264, 314, 1861, 1048, 848, 944, 204, 264, 348, 944, 292, 933, 13, 22, 17, 771, 68, 3076, 465, 368, 330, 204, 268, 314, 828, 275, 944, 869, 2861, 1742, 4371, 17, 7943, 490, 204, 268, 397, 4371, 64, 1241, 744, 204, 305, 3524, 204, 822, 268, 314, 5979, 275, 944, 448, 4371, 204, 268, 4371, 64, 1241, 66, 289, 959, 204, 822, 268, 314, 977, 273, 758, 311, 1640, 275, 2731, 496, 618, 444, 7486, 497, 275, 790, 944, 204, 268, 22416, 68, 3076, 289, 463, 1241, 98, 204, 822, 268, 314, 977, 273, 2769, 311, 1640, 275, 2731, 311, 444, 4371, 204, 268, 2769, 289, 7826, 1568, 1241, 694, 204, 822, 268, 314, 3055, 273, 19040, 311, 1020, 830, 22416, 2731, 204, 268, 1335, 2769, 31, 204, 305, 790, 68, 1241, 289, 2769, 19, 17387, 374, 204, 3123, 305, 314, 1861, 1048, 275, 7343, 302, 275, 790, 944, 204, 305, 348, 6199, 292, 8120, 64, 1976, 68, 1241, 744, 204, 485, 314, 828, 275, 6199, 869, 508, 1742, 4371, 329, 353, 508, 19058, 17, 2434, 490, 448, 4371, 329, 881, 490, 311, 275, 2769, 204, 485, 397, 508, 4371, 64, 9431, 66, 329, 6199, 508, 292, 19058, 64, 1976, 68, 1241, 744, 204, 895, 4371, 64, 9431, 66, 289, 959, 204, 895, 22416, 68, 3076, 19, 826, 13, 9431, 14, 204, 895, 2769, 19, 1223, 13, 9431, 14, 204, 822, 268, 314, 888, 275, 2279, 348, 848, 944, 292, 275, 22416, 68, 3076, 758, 204, 268, 348, 22416, 68, 1241, 292, 22416, 68, 3076, 31, 204, 305, 314, 334, 2279, 353, 275, 542, 302, 22416, 2731, 13576, 275, 542, 302, 8120, 329, 19058, 3885, 204, 305, 3703, 64, 27794, 68, 1241, 66, 289, 1245, 13, 27794, 68, 3076, 14, 338, 1245, 13, 16426, 64, 27794, 68, 1241, 66, 2343, 22416, 68, 3076, 14, 338, 1245, 13, 31853, 64, 27794, 68, 1241, 66, 2343, 22416, 68, 3076, 14, 338, 368, 204, 615, 264, 407, 3703, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 537, 17, 9111, 3703, 17, 329, 5538, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 497, 275, 575, 204, 264, 771, 68, 3076, 17, 771, 68, 5729, 17, 771, 68, 31853, 68, 5729, 289, 1151, 68, 768, 374, 204, 615, 264, 314, 1606, 275, 3885, 329, 19058, 3885, 497, 275, 575, 204, 264, 8120, 289, 1151, 68, 5729, 13, 920, 68, 5729, 17, 771, 68, 3076, 14, 204, 264, 19058, 289, 1151, 68, 5729, 13, 920, 68, 31853, 68, 5729, 17, 771, 68, 3076, 14, 204, 615, 264, 314, 888, 275, 3703, 348, 848, 944, 204, 264, 3703, 289, 949, 68, 4319, 13, 920, 68, 3076, 17, 8120, 17, 19058, 14, 204, 615, 264, 314, 1198, 275, 3703, 204, 264, 456, 4934, 4319, 64, 22, 10101, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 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, 374, 204, 0, 531, 1498, 532, 783, 17, 1061, 17, 1535, 204, 204, 461, 1040, 68, 14434, 68, 15270, 13, 14434, 68, 655, 31, 783, 64, 325, 648, 1029, 68, 14434, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 7428, 302, 273, 2824, 7969, 292, 275, 7969, 458, 19, 204, 204, 264, 457, 31, 204, 268, 7969, 68, 655, 322, 1218, 64, 325, 1037, 332, 458, 302, 7969, 1987, 19, 204, 268, 1029, 68, 14434, 322, 325, 330, 334, 588, 302, 275, 7969, 311, 1040, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 7428, 302, 275, 7969, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 458, 1040, 1216, 311, 1020, 275, 7428, 302, 275, 1029, 7969, 204, 264, 407, 7969, 68, 655, 19, 765, 13, 2170, 68, 14434, 14, 204, 204, 204, 461, 636, 68, 48161, 68, 438, 13, 92, 46539, 31, 783, 64, 1665, 64, 325, 17, 421, 4395, 33095, 68, 417, 31, 394, 14, 393, 1535, 64, 339, 744, 204, 264, 320, 204, 264, 4071, 275, 2523, 302, 273, 33095, 560, 588, 497, 273, 458, 302, 306, 46539, 19, 204, 204, 264, 457, 31, 204, 268, 306, 46539, 322, 1218, 64, 1665, 64, 325, 17, 421, 3795, 332, 458, 302, 5239, 1174, 33095, 1483, 19, 204, 268, 33095, 68, 417, 322, 325, 330, 334, 588, 302, 275, 33095, 311, 1020, 19, 204, 204, 264, 475, 31, 204, 268, 1535, 64, 339, 744, 334, 2523, 302, 275, 33095, 397, 1193, 17, 443, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 458, 6459, 311, 2081, 275, 306, 46539, 329, 407, 275, 2523, 302, 275, 1029, 33095, 204, 264, 33095, 68, 1408, 289, 551, 48161, 736, 438, 839, 348, 33095, 292, 306, 46539, 397, 33095, 736, 417, 839, 564, 33095, 68, 417, 66, 204, 264, 407, 33095, 68, 1408, 64, 21, 66, 397, 33095, 68, 1408, 902, 443, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 7969, 68, 655, 289, 2470, 46700, 111, 33865, 126, 491, 379, 47998, 114, 491, 379, 172, 121, 103, 491, 379, 173, 117, 119, 174, 236, 261, 39284, 232, 491, 379, 174, 252, 103, 46622, 240, 37344, 228, 491, 379, 174, 42617, 47998, 249, 491, 379, 175, 243, 111, 43716, 232, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 175, 240, 240, 17049, 122, 39284, 260, 175, 248, 240, 491, 379, 47998, 114, 491, 379, 46700, 111, 33865, 126, 839, 204, 264, 456, 13, 75, 7, 7366, 302, 379, 46700, 111, 33865, 126, 597, 463, 765, 68, 14434, 68, 15270, 13, 14434, 68, 655, 17, 379, 46700, 111, 33865, 126, 20611, 204, 204, 264, 12406, 68, 92, 46539, 289, 551, 204, 268, 2552, 417, 597, 379, 173, 241, 103, 173, 122, 248, 43716, 232, 47667, 118, 491, 379, 438, 597, 26033, 1522, 204, 268, 2552, 417, 597, 379, 173, 106, 104, 33865, 260, 47666, 252, 172, 115, 122, 491, 379, 438, 597, 12961, 1522, 204, 268, 2552, 417, 597, 379, 35536, 103, 173, 232, 103, 31675, 175, 248, 232, 491, 379, 438, 597, 3382, 1522, 204, 264, 2437, 204, 204, 264, 456, 499, 60, 17933, 29874, 2212, 204, 264, 348, 33095, 292, 12406, 68, 92, 46539, 31, 204, 268, 456, 13, 75, 1954, 48161, 736, 417, 43942, 463, 48161, 736, 438, 9436, 204, 204, 264, 456, 3273, 83, 60, 17933, 13995, 39131, 2212, 204, 264, 33095, 68, 2199, 289, 2470, 173, 241, 103, 173, 122, 248, 43716, 232, 47667, 118, 491, 379, 173, 106, 104, 33865, 260, 47666, 252, 172, 115, 122, 491, 379, 35536, 103, 173, 232, 103, 31675, 175, 248, 232, 491, 379, 22898, 118, 42908, 111, 175, 243, 111, 175, 232, 114, 839, 204, 264, 348, 588, 292, 33095, 68, 2199, 31, 204, 268, 2523, 289, 636, 68, 48161, 68, 438, 13, 44235, 68, 92, 46539, 17, 588, 14, 204, 268, 456, 13, 75, 1954, 417, 2829, 463, 438, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 11761, 532, 2111, 204, 531, 1907, 19, 4280, 532, 9845, 204, 204, 8, 968, 273, 1034, 850, 348, 1472, 5020, 311, 4516, 1576, 303, 38871, 204, 676, 10406, 3244, 13, 3244, 330, 204, 264, 320, 204, 264, 332, 1034, 850, 348, 12077, 6214, 19, 204, 204, 264, 1532, 31, 204, 268, 2399, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2399, 311, 2111, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 2399, 68, 417, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 10406, 3244, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 2399, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2399, 311, 2111, 19, 204, 268, 320, 204, 268, 370, 19, 3143, 68, 417, 289, 2399, 68, 417, 204, 204, 264, 436, 636, 13, 327, 17, 824, 330, 204, 268, 320, 204, 268, 5133, 4559, 2164, 348, 275, 1472, 19, 204, 204, 268, 457, 31, 204, 305, 824, 31, 334, 3426, 824, 726, 19, 204, 204, 268, 475, 31, 204, 305, 4638, 31, 334, 5703, 1472, 19, 204, 268, 320, 204, 268, 314, 4784, 275, 1472, 440, 437, 1392, 2085, 204, 268, 407, 2111, 13, 1443, 17, 283, 12, 8381, 4235, 327, 19, 3143, 68, 417, 3572, 2079, 491, 12881, 204, 204, 204, 8, 666, 1472, 5020, 204, 676, 43007, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 2941, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 43007, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 30535, 534, 204, 204, 204, 676, 14614, 6188, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 1465, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 14614, 6188, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 12519, 534, 204, 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, 676, 30333, 6188, 3244, 13, 6188, 3244, 330, 204, 264, 320, 204, 264, 12093, 275, 30333, 1472, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 30333, 6188, 3244, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 32414, 1150, 86, 534, 204, 0, 3728, 353, 4316, 36, 10910, 311, 275, 6720, 391, 555, 18, 8505, 2834, 955, 17, 275, 667, 4790, 302, 4316, 353, 1622, 1947, 4802, 2350, 292, 8295, 30209, 18103, 302, 970, 6757, 304, 4498, 1017, 2804, 10559, 332, 4316, 17, 292, 9293, 42113, 3942, 17, 9995, 302, 970, 1880, 1415, 1120, 17177, 5157, 6971, 311, 3472, 6757, 302, 2804, 1250, 3480, 311, 874, 32, 448, 572, 2379, 7239, 17, 808, 353, 508, 4501, 275, 1322, 19, 204, 3070, 275, 5356, 302, 808, 3062, 17, 382, 1784, 2090, 311, 7253, 523, 3161, 4790, 302, 4316, 17, 1425, 800, 560, 6720, 391, 555, 18, 8505, 2834, 1622, 1933, 302, 4109, 4361, 4099, 39464, 497, 1101, 21899, 448, 6414, 311, 275, 9293, 4316, 10559, 204, 1834, 1350, 4790, 4658, 451, 275, 10931, 311, 838, 329, 7072, 273, 4316, 292, 4109, 3942, 19, 1058, 6019, 2875, 2260, 22154, 17, 3536, 6757, 884, 22154, 17, 22154, 29481, 560, 904, 4316, 5131, 17, 329, 22154, 2927, 719, 302, 1880, 1415, 1193, 848, 904, 1924, 3307, 884, 88, 17775, 17606, 19, 204, 3837, 884, 88, 508, 34298, 348, 1880, 311, 798, 3536, 7369, 440, 5261, 496, 529, 7066, 1017, 5043, 28562, 17, 1101, 1330, 3153, 7369, 3638, 1025, 6497, 17, 39765, 17, 35061, 329, 37236, 8160, 496, 1936, 521, 1965, 5906, 3153, 496, 8295, 869, 14720, 451, 311, 25761, 1282, 440, 5043, 9172, 17, 1250, 529, 5971, 13018, 311, 448, 1622, 10213, 9172, 3582, 204, 38, 1193, 4316, 17, 448, 275, 3018, 5398, 1120, 2512, 872, 311, 3126, 17, 353, 273, 4316, 496, 1051, 13889, 440, 1880, 1415, 529, 508, 5043, 28562, 19, 1058, 3018, 353, 1051, 496, 29503, 497, 275, 40109, 54, 16, 5698, 329, 17, 5575, 311, 13780, 6865, 33995, 17, 490, 867, 1043, 1376, 311, 1622, 24715, 4744, 9679, 270, 14063, 880, 2090, 275, 8705, 9909, 44213, 19711, 88, 302, 275, 5086, 31078, 6129, 3582, 11240, 3556, 448, 1622, 28624, 9172, 1001, 808, 36970, 867, 1966, 440, 275, 8784, 302, 33359, 5261, 2379, 496, 5701, 273, 39765, 329, 37236, 4316, 2549, 4501, 444, 2237, 17, 2219, 397, 490, 19395, 884, 89, 1051, 36855, 497, 5043, 28562, 19, 204, 14884, 7369, 440, 1682, 302, 34069, 529, 3287, 17, 572, 874, 311, 3469, 496, 8489, 1250, 7493, 4006, 884, 89, 1225, 685, 19, 2541, 4498, 5043, 440, 8965, 1120, 508, 3638, 1475, 1025, 273, 39765, 329, 35061, 2545, 19, 26039, 9172, 529, 17514, 448, 5805, 496, 353, 26768, 17, 448, 1880, 872, 874, 311, 4501, 8336, 329, 2886, 17, 1101, 448, 1910, 1784, 2379, 17, 6469, 3536, 5131, 302, 275, 40109, 54, 16, 5698, 17, 808, 353, 508, 275, 1322, 19, 204, 21140, 88, 17, 25377, 17, 37880, 329, 904, 5043, 28562, 1120, 7493, 11809, 8965, 348, 1017, 6978, 6572, 329, 20, 276, 13650, 11640, 2900, 11109, 490, 273, 1350, 6183, 19, 14580, 17, 1422, 529, 18114, 1273, 275, 4316, 618, 1225, 1924, 808, 329, 6083, 496, 1017, 4316, 4985, 353, 508, 273, 1085, 302, 25282, 271, 536, 1026, 8908, 329, 2886, 1475, 1236, 7597, 2075, 17, 1101, 8489, 808, 5409, 884, 89, 11616, 19, 204, 7002, 348, 275, 5644, 1273, 1051, 1698, 6587, 3324, 31147, 497, 1017, 1682, 302, 34069, 17, 490, 353, 14636, 311, 2379, 329, 9356, 496, 3153, 1880, 770, 508, 874, 311, 444, 1214, 4316, 19, 828, 273, 1874, 21282, 311, 2652, 872, 521, 2467, 269, 22327, 11809, 88, 1415, 872, 529, 3913, 311, 1017, 6323, 18395, 17, 329, 2942, 5792, 311, 24118, 1415, 872, 529, 521, 7260, 448, 17, 1250, 4006, 884, 89, 41975, 872, 19, 204, 5009, 4006, 884, 89, 874, 311, 444, 440, 13169, 496, 618, 884, 89, 29460, 31734, 2886, 872, 17, 329, 490, 5409, 884, 89, 7597, 2075, 8295, 4230, 874, 2249, 872, 311, 8732, 31, 872, 618, 798, 1214, 3346, 4316, 19, 204, 18176, 3651, 523, 808, 8504, 355, 41291, 311, 874, 1880, 1415, 2886, 329, 8336, 1475, 19, 332, 1193, 4316, 353, 1051, 496, 11155, 884, 89, 440, 872, 2404, 1250, 5506, 19175, 756, 521, 14107, 32, 1250, 529, 1880, 1415, 5710, 311, 444, 440, 872, 2404, 1250, 3480, 311, 19, 3433, 1120, 8336, 872, 329, 2886, 872, 7870, 1214, 4835, 3307, 17, 329, 2219, 397, 872, 4006, 884, 89, 6635, 5043, 17, 1214, 3633, 1120, 444, 19356, 1194, 3153, 496, 770, 19, 204, 38, 1193, 4316, 353, 273, 4316, 292, 2589, 7211, 302, 275, 1142, 17, 1924, 3094, 2666, 17, 5027, 2666, 329, 2219, 22274, 2666, 17, 1120, 4501, 444, 440, 872, 19, 3433, 1120, 29460, 31734, 8336, 872, 348, 1415, 872, 529, 17, 2219, 292, 18114, 1330, 872, 618, 884, 89, 8336, 11067, 19, 0, 25351, 1614, 886, 17, 1425, 3556, 448, 860, 4056, 886, 17, 529, 273, 1187, 302, 15157, 18, 1096, 542, 292, 5431, 6218, 496, 32821, 275, 1683, 2788, 10602, 3332, 2962, 292, 15157, 18, 1096, 7339, 19, 3433, 529, 1376, 311, 1173, 3060, 2637, 886, 496, 529, 14392, 311, 2962, 1194, 275, 5527, 2519, 542, 19, 204, 204, 777, 3728, 529, 3000, 1614, 886, 9390, 204, 204, 25351, 1614, 886, 529, 886, 440, 273, 6922, 5406, 1194, 275, 5527, 2519, 542, 19, 592, 273, 2519, 15157, 18, 1096, 700, 17, 1422, 529, 1236, 6043, 7152, 292, 275, 4295, 416, 17, 1101, 3000, 1614, 886, 874, 6043, 7152, 292, 275, 4295, 416, 17, 11439, 1475, 311, 1173, 5406, 886, 19, 204, 204, 777, 2920, 529, 3000, 1614, 886, 6717, 9390, 204, 204, 25351, 1614, 886, 529, 6717, 974, 273, 4338, 4051, 292, 275, 15157, 18, 1096, 1883, 19, 592, 44565, 7776, 25, 18, 18094, 17, 3000, 1614, 886, 529, 6093, 440, 273, 33956, 6409, 302, 500, 17, 1101, 529, 24190, 440, 275, 700, 302, 275, 5527, 4675, 6409, 17, 928, 353, 1051, 3114, 19, 204, 204, 777, 13084, 529, 3000, 1614, 886, 3287, 9390, 204, 204, 25351, 1614, 886, 1308, 4569, 8753, 17, 2864, 31, 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, 22, 19, 930, 11537, 42721, 1683, 2788, 1416, 16547, 1614, 886, 2512, 9079, 311, 13395, 7548, 16811, 1330, 275, 722, 353, 2637, 17, 6216, 1194, 24479, 1683, 2788, 299, 311, 2962, 19, 204, 23, 19, 930, 48980, 299, 4854, 560, 2962, 1416, 16547, 1614, 886, 4897, 496, 4998, 329, 11043, 302, 15157, 18, 1096, 886, 6202, 1683, 28763, 17, 20796, 4854, 560, 2962, 2744, 19, 204, 24, 19, 930, 45944, 1462, 3666, 1416, 16547, 1614, 886, 618, 1173, 3060, 2637, 886, 1182, 17915, 1194, 2519, 886, 19, 204, 204, 777, 40028, 6705, 440, 3000, 1614, 886, 777, 204, 204, 11594, 3000, 1614, 886, 529, 7562, 17, 1250, 618, 1425, 3253, 5956, 6705, 523, 1429, 5194, 19, 45241, 3000, 1614, 1019, 292, 8130, 618, 3014, 311, 273, 4883, 10574, 292, 5956, 17, 329, 2219, 1330, 3000, 1614, 1019, 529, 14406, 292, 15875, 17, 275, 2969, 302, 15224, 618, 444, 8016, 19, 204, 204, 777, 6648, 21717, 3000, 1614, 16524, 777, 204, 204, 1449, 4516, 5956, 6705, 17, 1429, 7177, 1741, 5710, 311, 16485, 3000, 1614, 16524, 521, 4672, 1475, 311, 2962, 19, 1058, 618, 444, 3870, 974, 18548, 8725, 521, 1576, 18, 2201, 8506, 17, 1702, 448, 275, 1758, 2970, 574, 3107, 69, 741, 521, 275, 1758, 68, 649, 68, 574, 25742, 69, 6842, 19, 204, 204, 777, 5063, 1576, 777, 204, 204, 1449, 16485, 3000, 1614, 16524, 17, 872, 618, 732, 275, 2631, 1576, 31, 204, 3691, 72, 204, 8, 10203, 962, 75, 3107, 19, 77, 35, 204, 2970, 574, 3107, 13, 11604, 68, 4300, 49, 68, 14237, 6454, 68, 56, 1599, 68, 13660, 1452, 5200, 68, 19793, 5224, 204, 3691, 204, 11892, 17, 872, 618, 732, 275, 2631, 1576, 31, 204, 3691, 72, 204, 8, 10203, 962, 93, 649, 339, 23166, 19, 77, 35, 204, 68, 649, 68, 574, 25742, 13, 906, 649, 68, 505, 25742, 374, 1152, 500, 93, 2934, 2169, 32825, 204, 3691, 204, 7108, 496, 275, 10290, 2501, 311, 16485, 3000, 1614, 16524, 353, 311, 732, 275, 1758, 68, 6688, 68, 8458, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 7847, 69, 20285, 31, 204, 3691, 72, 204, 68, 6688, 68, 8458, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 7847, 9705, 6688, 68, 13660, 1452, 16976, 56, 68, 48016, 68, 1000, 5224, 204, 3691, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 204, 1834, 3467, 3416, 719, 275, 1144, 37030, 30178, 3146, 440, 275, 1945, 6127, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 204, 204, 8, 968, 275, 3146, 3688, 204, 23494, 68, 3344, 31, 394, 289, 388, 80, 1224, 2156, 13878, 7, 204, 23494, 68, 12110, 31, 394, 289, 388, 21, 19, 21, 19, 22, 7, 204, 23494, 68, 25809, 31, 394, 289, 388, 3543, 496, 10428, 273, 1144, 37030, 42510, 4457, 329, 27827, 675, 275, 2696, 311, 23661, 7, 204, 23494, 68, 27505, 31, 394, 289, 388, 4270, 16723, 15146, 2996, 7, 204, 23494, 68, 27505, 68, 12986, 31, 394, 289, 388, 364, 16723, 19, 14398, 2996, 19, 7849, 37, 13260, 19, 1453, 7, 204, 23494, 68, 3778, 31, 394, 289, 3026, 204, 204, 8, 968, 275, 1945, 6127, 348, 275, 3146, 204, 38939, 68, 19369, 1888, 13660, 34860, 31, 458, 64, 325, 66, 289, 3134, 26264, 24, 1339, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 719, 275, 3146, 440, 275, 1945, 6127, 19, 204, 204, 264, 1058, 741, 8913, 275, 3146, 3688, 329, 6127, 17, 329, 1675, 7987, 275, 3219, 741, 497, 12800, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1359, 719, 275, 3146, 440, 275, 1945, 6127, 204, 268, 3219, 13, 204, 305, 588, 34, 23494, 68, 3344, 17, 204, 305, 2585, 34, 23494, 68, 12110, 17, 204, 305, 2342, 34, 23494, 68, 25809, 17, 204, 305, 2799, 34, 23494, 68, 27505, 17, 204, 305, 2799, 68, 2302, 34, 23494, 68, 27505, 68, 12986, 17, 204, 305, 1779, 34, 23494, 68, 3778, 17, 204, 305, 6348, 68, 11729, 34, 38939, 68, 19369, 1888, 13660, 34860, 204, 268, 1179, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 3219, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 1882, 3219, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 3219, 68, 4780, 741, 1330, 275, 3467, 353, 1523, 5104, 204, 264, 3219, 68, 4780, 374, 204, 0, 26720, 1984, 30773, 7292, 460, 1390, 9103, 12321, 408, 19030, 21615, 18118, 942, 5335, 8767, 36057, 11308, 14210, 568, 23286, 408, 36672, 13172, 26693, 8297, 14249, 43263, 48827, 408, 26695, 47269, 408, 13901, 13321, 2371, 6796, 2980, 5776, 9092, 8297, 14249, 44156, 4924, 4795, 7221, 408, 5146, 1550, 12994, 17718, 2371, 6796, 14346, 2433, 1603, 9438, 408, 3455, 5556, 5335, 8767, 1251, 31226, 204, 30773, 7292, 460, 1390, 9103, 12321, 408, 19030, 21615, 18118, 942, 5335, 8767, 36057, 11308, 14210, 568, 23286, 408, 36672, 13172, 26693, 8297, 14249, 43263, 48827, 408, 26695, 47269, 408, 13901, 13321, 2371, 6796, 2980, 5776, 9092, 8297, 14249, 44156, 4924, 4795, 7221, 408, 5146, 1550, 12994, 17718, 2371, 6796, 14346, 2433, 1603, 9438, 408, 3455, 5556, 5335, 8767, 32907, 12165, 2494, 3640, 408, 34784, 1111, 13317, 16869, 21344, 568, 4499, 29053, 9366, 1565, 3725, 46032, 568, 6496, 2773, 723, 238, 854, 8297, 16102, 2371, 6796, 460, 1946, 1116, 408, 1843, 14970, 15588, 1990, 28846, 408, 2218, 3104, 230, 1032, 233, 1111, 1390, 9103, 21965, 15827, 8056, 15877, 13172, 26693, 8297, 14249, 408, 2823, 3455, 5510, 1111, 22146, 2371, 6796, 460, 1946, 3069, 248, 568, 5299, 8960, 2098, 3031, 1990, 408, 3455, 11574, 44253, 13901, 13321, 2371, 6796, 460, 31662, 2449, 10400, 37947, 4438, 460, 18791, 24868, 226, 568, 5843, 11587, 5851, 22960, 460, 42089, 43479, 408, 1970, 3136, 20587, 568, 204, 0, 461, 636, 68, 4509, 68, 765, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 16679, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 16679, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 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, 499, 2101, 275, 542, 302, 16679, 31, 4091, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 204, 461, 636, 68, 4509, 68, 1309, 13, 4509, 68, 765, 31, 421, 14, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 763, 275, 4457, 1019, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 4457, 68, 765, 322, 339, 330, 334, 542, 302, 16679, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 332, 458, 302, 4457, 1019, 19, 204, 264, 320, 204, 264, 4457, 68, 1309, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 4509, 68, 765, 330, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 700, 289, 818, 13, 768, 13, 75, 7, 2101, 4457, 463, 78, 16, 22, 98, 700, 31, 4091, 204, 485, 4457, 68, 1309, 19, 1223, 13, 876, 14, 204, 485, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 542, 1280, 204, 264, 407, 4457, 68, 1309, 204, 204, 461, 1352, 68, 4509, 68, 6792, 13, 22445, 31, 458, 64, 996, 694, 393, 458, 64, 996, 744, 204, 264, 320, 204, 264, 3325, 4457, 5453, 3119, 275, 379, 6074, 12, 1354, 353, 16136, 19, 204, 204, 264, 457, 31, 204, 268, 16679, 322, 655, 64, 996, 1037, 332, 458, 302, 4457, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 996, 744, 334, 2908, 458, 302, 4457, 1019, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 1354, 289, 537, 499, 2101, 1354, 322, 6074, 311, 3506, 17, 10923, 311, 3404, 17, 16348, 311, 6879, 330, 2810, 204, 268, 397, 1354, 564, 388, 6074, 559, 204, 305, 2280, 204, 268, 1677, 1354, 564, 388, 2418, 559, 204, 305, 314, 3736, 4457, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 302, 275, 4457, 311, 3404, 322, 22, 18, 6070, 330, 4091, 338, 368, 204, 895, 397, 1112, 962, 500, 521, 1112, 3721, 1245, 13, 22445, 330, 204, 2058, 456, 499, 1962, 1112, 19, 2982, 2064, 273, 1097, 1112, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 5050, 289, 818, 13, 768, 499, 2101, 275, 5050, 311, 3404, 322, 21, 18, 2051, 330, 4091, 204, 895, 397, 5050, 962, 500, 521, 5050, 1323, 1607, 31, 204, 2058, 456, 499, 1962, 5050, 19, 2982, 2064, 273, 700, 1283, 500, 329, 1607, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 542, 1280, 204, 305, 3299, 68, 5747, 289, 16679, 64, 998, 66, 204, 305, 16679, 64, 998, 66, 10744, 5050, 802, 1607, 204, 305, 16679, 19, 5021, 13, 998, 465, 368, 17, 3299, 68, 5747, 540, 322, 22, 338, 5050, 802, 1607, 602, 204, 268, 1677, 1354, 564, 388, 5303, 559, 204, 305, 314, 9761, 16679, 204, 305, 1335, 959, 31, 204, 485, 810, 31, 204, 895, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 302, 275, 4457, 311, 6879, 322, 22, 18, 6070, 330, 4091, 338, 368, 204, 895, 397, 1112, 962, 500, 521, 1112, 3721, 1245, 13, 22445, 14, 338, 368, 31, 204, 2058, 456, 499, 1962, 1112, 19, 2982, 2064, 273, 1097, 1112, 1280, 204, 895, 902, 31, 204, 2058, 2280, 204, 485, 827, 987, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 273, 1097, 1534, 1280, 204, 305, 16679, 64, 998, 66, 1412, 16679, 64, 998, 465, 368, 66, 204, 305, 6924, 16679, 64, 998, 465, 368, 66, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 1354, 19, 2982, 2064, 273, 1097, 1354, 1280, 204, 264, 407, 16679, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 2548, 19, 204, 264, 320, 204, 264, 4457, 68, 765, 289, 636, 68, 4509, 68, 765, 374, 204, 264, 16679, 289, 636, 68, 4509, 68, 1309, 13, 4509, 68, 765, 14, 204, 264, 4050, 68, 22445, 289, 1352, 68, 4509, 68, 6792, 13, 22445, 14, 204, 264, 456, 499, 29624, 16679, 2180, 4050, 68, 22445, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 204, 204, 676, 6937, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 2510, 2192, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 679, 31, 421, 17, 1824, 31, 379, 10753, 12, 289, 443, 17, 1629, 31, 379, 10753, 12, 289, 443, 330, 204, 268, 370, 19, 577, 289, 679, 204, 268, 370, 19, 1735, 289, 1824, 204, 268, 370, 19, 1633, 289, 1629, 204, 204, 461, 949, 68, 28035, 68, 1303, 13, 2125, 31, 6937, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1066, 302, 273, 11309, 28651, 630, 275, 800, 944, 19, 204, 204, 264, 457, 31, 204, 264, 1610, 31, 334, 1610, 302, 275, 11309, 19, 204, 204, 264, 475, 31, 204, 264, 334, 1066, 302, 275, 11309, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 437, 1392, 2192, 869, 273, 1066, 302, 500, 204, 264, 397, 1610, 353, 443, 31, 204, 268, 407, 500, 204, 615, 264, 314, 18302, 1322, 31, 1066, 302, 275, 790, 944, 329, 1163, 20457, 204, 264, 407, 1610, 19, 577, 465, 949, 68, 28035, 68, 1303, 13, 2125, 19, 1735, 14, 465, 949, 68, 28035, 68, 1303, 13, 2125, 19, 1633, 14, 204, 204, 461, 949, 68, 3150, 68, 1303, 68, 7728, 13, 2125, 31, 6937, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 1066, 302, 4923, 6108, 1283, 275, 8598, 302, 1824, 329, 1629, 20457, 348, 848, 944, 19, 204, 204, 264, 457, 31, 204, 264, 1610, 31, 334, 1610, 302, 275, 2510, 2192, 19, 204, 204, 264, 475, 31, 204, 264, 334, 1066, 302, 4923, 6108, 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, 977, 273, 955, 311, 1640, 275, 8598, 302, 20457, 204, 264, 11309, 68, 10089, 31, 1061, 64, 10753, 17, 421, 66, 289, 2087, 204, 615, 264, 314, 977, 275, 1066, 302, 4923, 6108, 204, 264, 1066, 68, 522, 68, 17250, 31, 421, 289, 500, 204, 615, 264, 314, 968, 273, 12325, 741, 311, 949, 275, 1066, 302, 273, 11309, 329, 1395, 275, 1066, 302, 6108, 204, 264, 436, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 31, 6937, 14, 393, 421, 31, 204, 268, 37023, 1066, 68, 522, 68, 17250, 204, 822, 268, 314, 3301, 1322, 31, 437, 1392, 2192, 869, 273, 1066, 302, 500, 204, 268, 397, 944, 353, 443, 31, 204, 305, 407, 500, 204, 822, 268, 314, 828, 275, 11309, 1066, 353, 2861, 3392, 17, 407, 490, 204, 268, 397, 944, 292, 11309, 68, 10089, 31, 204, 305, 407, 11309, 68, 10089, 64, 1241, 66, 204, 822, 268, 314, 888, 275, 1066, 302, 275, 790, 944, 677, 11309, 204, 268, 11309, 68, 1303, 31, 421, 289, 944, 19, 577, 465, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 19, 1735, 14, 465, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 1241, 19, 1633, 14, 204, 822, 268, 314, 6993, 275, 1066, 302, 275, 790, 944, 677, 11309, 204, 268, 11309, 68, 10089, 64, 1241, 66, 289, 11309, 68, 1303, 204, 822, 268, 314, 1716, 275, 1066, 302, 4923, 6108, 204, 268, 1066, 68, 522, 68, 17250, 1412, 7041, 13, 28035, 68, 10089, 19, 505, 13, 1241, 19, 1735, 17, 500, 14, 338, 11309, 68, 10089, 19, 505, 13, 1241, 19, 1633, 17, 500, 602, 204, 822, 268, 407, 11309, 68, 1303, 204, 615, 264, 314, 888, 275, 1066, 302, 275, 2192, 329, 1395, 275, 1066, 302, 6108, 204, 264, 949, 68, 28035, 68, 1303, 68, 416, 68, 2045, 68, 17250, 13, 2125, 14, 204, 615, 264, 407, 1066, 68, 522, 68, 17250, 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, 314, 8023, 368, 204, 264, 314, 6288, 802, 688, 204, 264, 314, 263, 435, 262, 571, 204, 264, 314, 264, 802, 688, 262, 688, 204, 264, 314, 262, 681, 262, 720, 262, 887, 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, 1633, 289, 6937, 13, 27, 14, 204, 615, 264, 314, 888, 275, 1066, 302, 4923, 6108, 204, 264, 1066, 68, 522, 68, 17250, 289, 949, 68, 3150, 68, 1303, 68, 7728, 13, 2125, 14, 204, 264, 456, 499, 7279, 302, 4923, 6108, 2180, 1066, 68, 522, 68, 17250, 14, 204, 0, 676, 10538, 31, 204, 264, 320, 5272, 273, 944, 292, 273, 22934, 4201, 458, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 679, 31, 421, 330, 204, 268, 320, 17666, 273, 10538, 440, 273, 800, 700, 19, 204, 204, 268, 457, 31, 204, 268, 679, 322, 339, 330, 334, 700, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 577, 289, 679, 204, 268, 370, 19, 2715, 289, 443, 204, 204, 461, 8370, 68, 655, 13, 1885, 31, 10538, 17, 610, 31, 421, 14, 393, 10538, 31, 204, 264, 320, 204, 264, 5565, 4459, 273, 4201, 458, 3332, 273, 800, 700, 610, 19, 204, 204, 264, 1058, 741, 20378, 2690, 275, 4201, 458, 1702, 496, 830, 2731, 440, 1019, 2202, 1194, 610, 3891, 2518, 830, 2731, 440, 1019, 3114, 1194, 521, 1936, 311, 610, 19, 204, 204, 264, 457, 31, 204, 264, 1526, 322, 21463, 330, 334, 1526, 302, 275, 4201, 458, 19, 204, 264, 610, 322, 339, 330, 334, 700, 311, 8370, 3332, 19, 204, 204, 264, 475, 31, 204, 264, 10538, 31, 334, 1526, 302, 275, 31669, 4201, 458, 19, 204, 264, 320, 204, 264, 314, 1426, 275, 1322, 1273, 275, 537, 4201, 458, 353, 443, 204, 264, 397, 508, 1526, 31, 204, 268, 407, 443, 204, 204, 264, 314, 977, 275, 11879, 329, 24845, 302, 275, 970, 3330, 204, 264, 2202, 68, 13798, 68, 1885, 289, 443, 204, 264, 2202, 68, 13798, 68, 3809, 289, 443, 204, 264, 3114, 68, 13798, 68, 1885, 289, 443, 204, 264, 3114, 68, 13798, 68, 3809, 289, 443, 204, 204, 264, 314, 16165, 275, 4201, 458, 204, 264, 790, 68, 1241, 289, 1526, 204, 264, 1335, 790, 68, 1241, 31, 204, 268, 314, 6993, 275, 1682, 944, 2518, 9683, 275, 790, 944, 677, 1682, 9311, 204, 268, 1682, 68, 1241, 289, 790, 68, 1241, 19, 2715, 204, 204, 268, 314, 1255, 275, 790, 944, 311, 275, 2202, 1194, 458, 397, 1163, 700, 353, 2202, 1194, 610, 204, 268, 397, 790, 68, 1241, 19, 577, 962, 610, 31, 204, 305, 314, 1716, 275, 2202, 1194, 458, 204, 305, 397, 508, 2202, 68, 13798, 68, 1885, 31, 204, 485, 2202, 68, 13798, 68, 1885, 289, 790, 68, 1241, 204, 485, 2202, 68, 13798, 68, 3809, 289, 2202, 68, 13798, 68, 1885, 204, 305, 902, 31, 204, 485, 2202, 68, 13798, 68, 3809, 19, 2715, 289, 790, 68, 1241, 204, 485, 2202, 68, 13798, 68, 3809, 289, 790, 68, 1241, 204, 268, 314, 1255, 275, 790, 944, 311, 275, 3114, 1194, 458, 397, 1163, 700, 353, 3114, 1194, 521, 1936, 311, 610, 204, 268, 902, 31, 204, 305, 314, 1716, 275, 3114, 1194, 458, 204, 305, 397, 508, 3114, 68, 13798, 68, 1885, 31, 204, 485, 3114, 68, 13798, 68, 1885, 289, 790, 68, 1241, 204, 485, 3114, 68, 13798, 68, 3809, 289, 3114, 68, 13798, 68, 1885, 204, 305, 902, 31, 204, 485, 3114, 68, 13798, 68, 3809, 19, 2715, 289, 790, 68, 1241, 204, 485, 3114, 68, 13798, 68, 3809, 289, 790, 68, 1241, 204, 204, 268, 314, 5360, 311, 275, 1682, 944, 204, 268, 790, 68, 1241, 289, 1682, 68, 1241, 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, 314, 1716, 275, 1682, 13857, 311, 2601, 275, 970, 3330, 204, 264, 397, 2202, 68, 13798, 68, 3809, 31, 204, 268, 2202, 68, 13798, 68, 3809, 19, 2715, 289, 3114, 68, 13798, 68, 1885, 204, 264, 397, 3114, 68, 13798, 68, 3809, 31, 204, 268, 3114, 68, 13798, 68, 3809, 19, 2715, 289, 443, 204, 204, 264, 314, 455, 275, 1526, 302, 275, 31669, 458, 204, 264, 407, 2202, 68, 13798, 68, 1885, 397, 2202, 68, 13798, 68, 1885, 902, 3114, 68, 13798, 68, 1885, 204, 204, 461, 456, 68, 655, 13, 1885, 31, 10538, 14, 393, 443, 31, 204, 264, 320, 27145, 275, 1019, 292, 273, 4201, 458, 19, 204, 204, 264, 457, 31, 204, 264, 1526, 322, 21463, 330, 334, 1526, 302, 275, 4201, 458, 19, 204, 264, 320, 204, 264, 790, 68, 1241, 289, 1526, 204, 264, 1335, 790, 68, 1241, 31, 204, 268, 456, 13, 1976, 68, 1241, 19, 577, 17, 1136, 1022, 2810, 204, 268, 790, 68, 1241, 289, 790, 68, 1241, 19, 2715, 204, 264, 456, 374, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 4201, 458, 31, 368, 393, 681, 393, 571, 393, 435, 393, 720, 393, 435, 204, 264, 1526, 289, 10538, 13, 22, 14, 204, 264, 1526, 19, 2715, 289, 10538, 13, 25, 14, 204, 264, 1526, 19, 2715, 19, 2715, 289, 10538, 13, 24, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 23, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 26, 14, 204, 264, 1526, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 19, 2715, 289, 10538, 13, 23, 14, 204, 204, 264, 456, 499, 9562, 783, 2212, 204, 264, 456, 68, 655, 13, 1885, 14, 204, 204, 264, 314, 25894, 275, 4201, 458, 3332, 610, 289, 571, 204, 264, 31669, 68, 1885, 289, 8370, 68, 655, 13, 1885, 17, 571, 14, 204, 204, 264, 456, 499, 35467, 336, 783, 2212, 204, 264, 456, 68, 655, 13, 13435, 336, 68, 1885, 14, 204, 0, 647, 2454, 204, 531, 2802, 18945, 1972, 532, 30520, 204, 204, 676, 25903, 31, 204, 264, 320, 204, 264, 2646, 273, 8158, 726, 292, 275, 1470, 19, 204, 204, 264, 1532, 31, 204, 268, 752, 322, 22156, 19, 3873, 330, 334, 8158, 752, 19, 204, 268, 13945, 322, 22156, 19, 26786, 330, 334, 8158, 13945, 19, 204, 268, 3581, 322, 339, 330, 334, 3581, 302, 275, 8158, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1419, 68, 93, 31, 421, 17, 1419, 68, 94, 31, 421, 17, 752, 68, 546, 31, 394, 17, 3581, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 273, 717, 25903, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1419, 68, 93, 322, 339, 330, 334, 1419, 610, 18, 3936, 302, 275, 8158, 19, 204, 305, 1419, 68, 94, 322, 339, 330, 334, 1419, 469, 18, 3936, 302, 275, 8158, 19, 204, 305, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 8158, 752, 510, 19, 204, 305, 3581, 322, 339, 330, 334, 3581, 302, 275, 8158, 19, 204, 204, 268, 1632, 31, 204, 305, 1319, 31, 828, 275, 752, 510, 2950, 444, 3271, 19, 204, 268, 320, 204, 268, 370, 19, 935, 289, 30520, 19, 3873, 374, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1137, 275, 8158, 752, 497, 275, 800, 832, 204, 305, 370, 19, 935, 19, 16198, 7374, 2597, 13, 935, 68, 546, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 275, 2710, 329, 456, 437, 908, 943, 204, 305, 456, 13, 75, 7, 596, 4644, 752, 31, 463, 74, 743, 204, 305, 2454, 19, 4555, 13, 22, 14, 226, 314, 14221, 275, 2548, 440, 273, 1950, 18, 5306, 1714, 1576, 204, 268, 370, 19, 13705, 289, 30520, 19, 26786, 13, 327, 19, 935, 14, 204, 268, 370, 19, 13705, 19, 3029, 13819, 13, 3474, 68, 93, 17, 1419, 68, 94, 14, 204, 268, 370, 19, 7182, 289, 3581, 204, 204, 264, 436, 1395, 13, 327, 17, 537, 21911, 30520, 19, 3383, 17, 6189, 68, 834, 31, 818, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 8158, 677, 1502, 1609, 523, 575, 537, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 322, 22156, 19, 3383, 330, 334, 790, 537, 1259, 19, 204, 305, 6189, 68, 834, 322, 996, 330, 334, 690, 13179, 3522, 275, 1673, 1395, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1824, 16561, 896, 353, 15556, 204, 268, 397, 537, 18726, 4947, 2683, 8011, 13, 22156, 19, 2683, 19, 19584, 330, 204, 305, 314, 5360, 275, 8158, 311, 275, 1824, 204, 305, 370, 19, 13705, 19, 16067, 2422, 327, 19, 7182, 540, 6189, 68, 834, 17, 500, 14, 204, 204, 268, 314, 778, 397, 275, 1629, 16561, 896, 353, 15556, 204, 268, 397, 537, 18726, 4947, 2683, 8011, 13, 22156, 19, 2683, 19, 14004, 330, 204, 305, 314, 5360, 275, 8158, 311, 275, 1629, 204, 305, 370, 19, 13705, 19, 16067, 13, 327, 19, 7182, 540, 6189, 68, 834, 17, 500, 14, 204, 204, 264, 436, 2790, 13, 327, 17, 2158, 31, 30520, 19, 16175, 5114, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 8158, 523, 275, 2158, 19, 204, 204, 268, 457, 31, 204, 305, 2158, 322, 22156, 19, 16175, 5114, 330, 334, 2158, 311, 2790, 523, 19, 204, 268, 320, 204, 268, 314, 4456, 275, 8158, 13945, 523, 275, 2158, 204, 268, 2158, 19, 11546, 13, 327, 19, 13705, 14, 204, 204, 204, 676, 5180, 31, 204, 264, 320, 204, 264, 2646, 275, 1470, 1650, 19, 204, 204, 264, 1532, 31, 204, 268, 2158, 322, 22156, 19, 16175, 5114, 330, 334, 1470, 2158, 19, 204, 268, 8158, 322, 32708, 330, 334, 8158, 726, 19, 204, 268, 6988, 322, 22156, 19, 16271, 330, 334, 1470, 6988, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2198, 31, 421, 17, 1853, 31, 421, 17, 1724, 31, 394, 14, 393, 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, 268, 320, 204, 268, 1865, 273, 717, 5180, 726, 19, 204, 204, 268, 457, 31, 204, 305, 2198, 322, 339, 330, 334, 2198, 302, 275, 1470, 2158, 19, 204, 305, 1853, 322, 339, 330, 334, 1853, 302, 275, 1470, 2158, 19, 204, 305, 1724, 322, 325, 330, 334, 1724, 302, 275, 1470, 2158, 19, 204, 268, 320, 204, 268, 370, 19, 2997, 289, 30520, 19, 16175, 5114, 13, 22156, 19, 9501, 11176, 13, 2435, 17, 1853, 659, 1724, 14, 204, 268, 370, 19, 2997, 19, 3029, 18464, 28976, 21495, 13, 2682, 14, 226, 314, 1359, 275, 2023, 2233, 2689, 311, 3382, 29085, 204, 268, 370, 19, 6265, 289, 25903, 13, 22556, 17, 5953, 17, 388, 6265, 19, 4955, 528, 1607, 14, 226, 314, 666, 273, 717, 8158, 726, 204, 268, 370, 19, 10827, 289, 30520, 19, 16271, 374, 226, 314, 666, 273, 717, 1470, 6988, 204, 204, 264, 436, 2906, 68, 6316, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5133, 275, 1470, 3780, 19, 204, 268, 320, 204, 268, 314, 763, 275, 3780, 497, 275, 2158, 204, 268, 348, 1643, 292, 370, 19, 2997, 19, 5136, 26210, 1293, 204, 305, 314, 778, 397, 275, 2158, 353, 7106, 204, 305, 397, 1643, 19, 2191, 564, 30520, 19, 5653, 19, 38208, 31, 204, 485, 314, 14221, 275, 1470, 3546, 204, 485, 407, 1078, 204, 268, 407, 959, 204, 204, 264, 436, 1395, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 1470, 1259, 19, 204, 268, 320, 204, 268, 314, 763, 275, 790, 537, 1259, 204, 268, 537, 68, 289, 370, 19, 2997, 19, 5136, 3383, 374, 204, 268, 314, 763, 275, 690, 13179, 3522, 275, 1673, 1395, 204, 268, 6189, 68, 834, 289, 370, 19, 10827, 19, 5136, 42, 9082, 3103, 1528, 6821, 204, 268, 314, 45148, 275, 6988, 204, 268, 370, 19, 10827, 19, 17495, 514, 374, 204, 268, 314, 1716, 275, 8158, 1502, 204, 268, 370, 19, 6265, 19, 2045, 13, 768, 14596, 6189, 68, 834, 14, 204, 204, 264, 436, 2790, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 16551, 275, 1470, 8328, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 2158, 204, 268, 370, 19, 2997, 19, 26956, 374, 204, 268, 314, 4456, 275, 8158, 204, 268, 370, 19, 6265, 19, 3320, 13, 327, 19, 2997, 14, 204, 268, 314, 3740, 275, 2158, 204, 268, 370, 19, 2997, 19, 14864, 374, 204, 204, 264, 436, 1523, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1470, 3546, 19, 204, 268, 320, 204, 268, 314, 5180, 3546, 204, 268, 1335, 959, 31, 204, 305, 314, 1426, 3780, 204, 305, 397, 508, 370, 19, 4103, 68, 6316, 1293, 204, 485, 2280, 204, 305, 314, 1716, 275, 1470, 1259, 204, 305, 370, 19, 2045, 374, 204, 305, 314, 4456, 275, 1470, 8328, 204, 305, 370, 19, 3320, 374, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 1650, 19, 204, 264, 320, 204, 264, 1470, 289, 5180, 13, 24983, 17, 20509, 17, 388, 42, 79, 2779, 342, 42430, 431, 204, 264, 1470, 19, 1777, 374, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 949, 68, 19105, 68, 10089, 13, 1630, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 8046, 8598, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 8046, 8598, 19, 204, 264, 320, 204, 264, 314, 977, 275, 8046, 8598, 458, 440, 275, 1043, 1103, 302, 886, 204, 264, 8046, 68, 10089, 289, 551, 21, 66, 540, 322, 1796, 13, 1630, 14, 465, 368, 14, 204, 264, 314, 888, 275, 8046, 8598, 974, 273, 348, 3546, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 1630, 4019, 204, 268, 314, 334, 8046, 1066, 630, 1112, 296, 16, 22, 353, 275, 1066, 302, 275, 3090, 8046, 1066, 329, 275, 790, 542, 204, 268, 8046, 68, 10089, 64, 78, 465, 368, 66, 289, 8046, 68, 10089, 64, 78, 66, 465, 886, 64, 78, 66, 204, 264, 407, 8046, 68, 10089, 204, 204, 204, 461, 949, 68, 6452, 13, 19105, 68, 10089, 31, 458, 64, 339, 648, 2158, 68, 835, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 2073, 560, 17020, 275, 6108, 1283, 8046, 8598, 19, 204, 204, 264, 457, 31, 204, 268, 8046, 68, 10089, 31, 332, 458, 302, 8046, 8598, 19, 204, 268, 2158, 68, 835, 31, 334, 1302, 302, 275, 2158, 19, 204, 204, 264, 475, 31, 204, 268, 334, 3392, 2073, 19, 204, 264, 320, 204, 264, 314, 977, 275, 2073, 1554, 311, 500, 204, 264, 2073, 289, 500, 204, 264, 314, 1861, 1048, 275, 8046, 8598, 458, 440, 273, 21277, 2158, 302, 1302, 2158, 68, 835, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 19105, 68, 10089, 14, 338, 2158, 68, 835, 330, 204, 268, 314, 334, 2712, 1283, 275, 8046, 1066, 630, 1112, 296, 16, 2997, 68, 835, 329, 275, 8046, 1066, 630, 1112, 296, 204, 268, 314, 4504, 275, 1066, 302, 275, 886, 292, 275, 790, 2158, 204, 268, 2073, 1412, 8046, 68, 10089, 64, 78, 465, 2158, 68, 835, 66, 338, 8046, 68, 10089, 64, 78, 66, 204, 264, 407, 2073, 204, 204, 204, 461, 636, 68, 768, 374, 393, 927, 64, 339, 17, 421, 17, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 763, 275, 537, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 542, 302, 1842, 17, 275, 2158, 1302, 17, 329, 275, 458, 302, 886, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 542, 302, 1842, 329, 275, 2158, 1302, 497, 275, 575, 204, 268, 771, 68, 3337, 17, 2158, 68, 835, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 268, 314, 763, 275, 458, 302, 886, 497, 275, 575, 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, 886, 289, 458, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 204, 268, 314, 778, 397, 275, 542, 302, 1842, 4083, 275, 1277, 302, 275, 458, 204, 268, 397, 1245, 13, 1630, 14, 2167, 771, 68, 3337, 31, 204, 305, 980, 987, 499, 1962, 537, 431, 204, 268, 407, 771, 68, 3337, 17, 2158, 68, 835, 17, 886, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 268, 407, 443, 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, 275, 537, 497, 275, 575, 204, 264, 537, 68, 481, 289, 636, 68, 768, 374, 204, 264, 397, 537, 68, 481, 353, 443, 31, 204, 268, 407, 204, 264, 771, 68, 3337, 17, 2158, 68, 835, 17, 886, 289, 537, 68, 481, 204, 264, 314, 888, 275, 8046, 8598, 204, 264, 8046, 68, 10089, 289, 949, 68, 19105, 68, 10089, 13, 1630, 14, 204, 264, 314, 888, 275, 2073, 204, 264, 2073, 289, 949, 68, 6452, 13, 19105, 68, 10089, 17, 2158, 68, 835, 14, 204, 264, 314, 1198, 275, 2073, 204, 264, 456, 13, 6452, 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, 30295, 532, 32958, 204, 531, 1498, 532, 783, 204, 531, 3238, 532, 15211, 204, 531, 7135, 68, 5614, 270, 19, 1087, 532, 32926, 68, 13538, 204, 531, 7135, 68, 5614, 270, 19, 9315, 19, 5433, 532, 11578, 204, 531, 7135, 68, 5614, 270, 19, 1031, 68, 27627, 532, 6109, 26919, 204, 204, 676, 10541, 13, 8048, 330, 204, 264, 320, 204, 264, 9715, 5539, 329, 37352, 299, 302, 5644, 302, 16086, 497, 275, 12770, 3594, 13292, 13327, 19, 204, 204, 264, 1532, 31, 204, 268, 1187, 68, 417, 322, 325, 330, 334, 1187, 588, 302, 275, 3966, 19, 204, 268, 16086, 68, 633, 68, 1616, 322, 1218, 330, 332, 458, 302, 16086, 311, 1352, 19, 204, 268, 2523, 68, 5053, 322, 15392, 330, 334, 2311, 2523, 3442, 348, 16086, 19, 204, 268, 353, 68, 15581, 68, 3607, 322, 2107, 330, 332, 5168, 5850, 3855, 13052, 2291, 353, 8905, 19, 204, 268, 8143, 68, 1915, 322, 1218, 330, 332, 458, 302, 8143, 1981, 4192, 19, 204, 268, 7943, 68, 417, 68, 27627, 322, 4269, 26919, 330, 332, 782, 24597, 348, 26199, 1981, 1987, 19, 204, 268, 588, 68, 27627, 322, 4269, 26919, 330, 332, 782, 24597, 348, 1981, 1987, 19, 204, 264, 320, 204, 204, 264, 1187, 68, 417, 289, 388, 2923, 7, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 1865, 275, 10541, 3966, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 31, 7618, 1906, 19, 204, 305, 930, 2251, 31, 14839, 1906, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 1306, 204, 268, 370, 19, 438, 68, 5053, 289, 443, 204, 268, 370, 19, 360, 68, 15581, 68, 3607, 289, 1078, 204, 268, 370, 19, 16677, 68, 1915, 289, 1306, 204, 268, 370, 19, 12349, 68, 417, 68, 27627, 289, 6109, 26919, 13, 1975, 14, 204, 268, 370, 19, 417, 68, 27627, 289, 6109, 26919, 13, 1021, 14, 204, 204, 264, 436, 4080, 13, 327, 17, 954, 31, 15211, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19795, 275, 1981, 3966, 440, 275, 800, 1586, 19, 204, 204, 268, 457, 31, 204, 305, 954, 322, 6261, 330, 334, 1586, 726, 19, 204, 268, 320, 204, 268, 2234, 1528, 4216, 13, 1087, 14, 204, 268, 954, 19, 826, 68, 2389, 7783, 417, 528, 7031, 83, 528, 1340, 1022, 32309, 311, 2216, 275, 588, 302, 275, 16086, 431, 204, 268, 954, 19, 826, 68, 2389, 7783, 12349, 18, 417, 528, 7031, 88, 528, 2984, 1022, 12349, 68, 417, 528, 1340, 1022, 32309, 311, 2216, 348, 16086, 311, 8809, 431, 204, 268, 954, 19, 826, 68, 2389, 7783, 438, 528, 7031, 70, 528, 1340, 1022, 14543, 2523, 322, 22, 73, 17, 435, 92, 17, 887, 82, 17, 368, 94, 12008, 204, 204, 264, 436, 1352, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11244, 275, 458, 302, 16086, 329, 6332, 1475, 311, 2081, 685, 928, 6399, 29652, 311, 6327, 444, 8143, 19, 204, 268, 320, 204, 268, 314, 6579, 16086, 497, 275, 3594, 13292, 4584, 204, 268, 370, 806, 6291, 68, 14643, 374, 204, 822, 268, 314, 4863, 16086, 560, 2523, 329, 588, 204, 268, 370, 806, 2741, 68, 14643, 68, 1424, 68, 438, 374, 204, 268, 370, 806, 2741, 68, 14643, 68, 1424, 68, 417, 374, 204, 822, 268, 314, 2175, 275, 4017, 16086, 204, 268, 370, 806, 761, 68, 14643, 374, 204, 204, 264, 436, 906, 6291, 68, 14643, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11244, 275, 458, 302, 16086, 497, 275, 3594, 13292, 4584, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1727, 311, 275, 3594, 13292, 4584, 204, 268, 5828, 289, 370, 806, 505, 68, 6519, 374, 204, 822, 268, 314, 6579, 275, 458, 302, 16086, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 5828, 19, 655, 68, 14643, 374, 204, 204, 264, 436, 906, 2741, 68, 14643, 68, 1424, 68, 438, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18403, 685, 16086, 496, 529, 4440, 6695, 1609, 523, 275, 2523, 3442, 19, 204, 268, 320, 204, 268, 397, 370, 19, 438, 68, 5053, 353, 508, 443, 31, 204, 305, 314, 4863, 16086, 560, 2523, 204, 305, 370, 19, 14643, 68, 633, 68, 1616, 289, 551, 2923, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 397, 370, 806, 360, 68, 2923, 68, 929, 68, 278, 2460, 13, 2923, 2395, 204, 204, 264, 436, 906, 2741, 68, 14643, 68, 1424, 68, 417, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 18403, 685, 16086, 496, 770, 508, 2216, 275, 588, 2679, 19, 204, 268, 320, 204, 268, 314, 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, 4863, 16086, 560, 588, 204, 268, 370, 19, 14643, 68, 633, 68, 1616, 289, 551, 2923, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 397, 370, 806, 26933, 68, 2923, 68, 4054, 68, 417, 13, 2923, 2395, 204, 204, 264, 436, 906, 761, 68, 14643, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15616, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 2175, 275, 542, 302, 4017, 16086, 204, 268, 370, 806, 1087, 19, 1270, 13, 75, 7, 2835, 463, 1796, 13, 327, 19, 14643, 68, 633, 68, 1616, 4150, 16086, 431, 204, 204, 264, 436, 906, 360, 68, 2923, 68, 929, 68, 278, 2460, 13, 327, 17, 1981, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 1981, 353, 3299, 5256, 1609, 523, 275, 2523, 3442, 19, 204, 204, 268, 457, 31, 204, 305, 1981, 31, 334, 1981, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 959, 397, 275, 1981, 353, 3299, 5256, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 2735, 275, 17434, 68, 269, 1489, 204, 268, 1561, 68, 438, 289, 1804, 19, 12903, 13, 2923, 19, 351, 15777, 68, 269, 17, 32926, 68, 13538, 14, 204, 268, 1561, 68, 438, 289, 1561, 68, 438, 19, 3834, 13, 42264, 34, 11811, 14, 204, 822, 268, 314, 778, 397, 275, 1981, 353, 3299, 5256, 204, 268, 407, 370, 806, 1520, 1323, 322, 4038, 68, 438, 465, 370, 19, 438, 68, 5053, 14, 204, 204, 264, 436, 906, 26933, 68, 2923, 68, 4054, 68, 417, 13, 327, 17, 1981, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 1981, 4083, 275, 588, 2679, 19, 204, 204, 268, 457, 31, 204, 305, 1981, 31, 334, 1981, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 959, 397, 275, 1981, 4083, 275, 588, 2679, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1981, 588, 4083, 275, 2679, 204, 268, 407, 508, 370, 19, 12349, 68, 417, 68, 27627, 19, 4054, 13, 2923, 19, 417, 14, 329, 370, 19, 417, 68, 27627, 19, 4054, 13, 2923, 19, 417, 14, 204, 204, 264, 436, 3106, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1727, 311, 275, 3594, 13292, 4584, 204, 268, 5828, 289, 370, 806, 505, 68, 6519, 374, 204, 822, 268, 314, 6117, 275, 4017, 16086, 204, 268, 348, 1981, 292, 370, 19, 14643, 68, 633, 68, 1616, 31, 204, 305, 5828, 19, 2756, 68, 2923, 13, 2923, 19, 359, 14, 204, 305, 370, 19, 16677, 68, 1915, 19, 1223, 13, 2923, 19, 359, 14, 204, 305, 456, 13, 75, 7, 34453, 463, 2923, 19, 417, 743, 204, 204, 264, 436, 2566, 68, 17630, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10863, 10473, 15119, 311, 275, 12601, 302, 275, 4017, 16086, 19, 204, 268, 320, 204, 268, 314, 3168, 322, 5243, 302, 275, 1576, 6786, 275, 1729, 14, 204, 204, 461, 2252, 68, 438, 68, 5053, 13, 438, 68, 325, 31, 394, 14, 393, 8351, 31, 204, 264, 320, 204, 264, 9246, 275, 2523, 3442, 497, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 2523, 68, 325, 322, 325, 330, 334, 2523, 3442, 782, 322, 74, 19, 76, 2458, 368, 73, 17, 435, 92, 17, 887, 82, 17, 368, 94, 789, 204, 204, 264, 475, 31, 204, 268, 8351, 31, 334, 3634, 2523, 3442, 19, 204, 264, 320, 204, 264, 314, 2735, 275, 2523, 3442, 204, 264, 397, 2523, 68, 325, 19, 9641, 499, 73, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 4513, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 92, 6471, 204, 268, 407, 8351, 13, 32653, 34, 339, 13, 438, 68, 325, 9128, 22, 4513, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 82, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 694, 540, 2468, 14, 204, 264, 1677, 2523, 68, 325, 19, 9641, 499, 94, 6471, 204, 268, 407, 8351, 13, 4936, 34, 339, 13, 438, 68, 325, 9128, 22, 694, 540, 21123, 14, 204, 264, 902, 31, 204, 268, 980, 987, 499, 1962, 2523, 3442, 1883, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 666, 273, 10541, 3966, 204, 264, 1981, 289, 10541, 374, 204, 615, 264, 314, 6676, 275, 1981, 3966, 204, 264, 1732, 289, 15211, 374, 204, 264, 1981, 19, 4216, 13, 3766, 14, 204, 615, 264, 314, 2735, 275, 1906, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 615, 264, 314, 1359, 275, 2523, 3442, 204, 264, 397, 2042, 19, 438, 31, 204, 268, 1981, 19, 438, 68, 5053, 289, 2252, 68, 438, 68, 5053, 13, 1038, 19, 438, 14, 204, 615, 264, 314, 1359, 275, 588, 24597, 204, 264, 397, 2042, 19, 417, 31, 204, 268, 1981, 19, 417, 68, 27627, 289, 6109, 26919, 13, 1038, 19, 417, 14, 204, 615, 264, 314, 1359, 275, 7943, 588, 24597, 204, 264, 397, 2042, 19, 12349, 68, 417, 31, 204, 268, 1981, 19, 12349, 68, 417, 68, 27627, 289, 6109, 26919, 13, 1038, 19, 12349, 68, 417, 14, 204, 615, 264, 314, 3325, 275, 16086, 204, 264, 1981, 19, 1616, 374, 204, 615, 264, 314, 8414, 275, 16086, 204, 264, 1981, 19, 5614, 374, 204, 615, 264, 314, 2878, 15119, 204, 264, 1981, 19, 3345, 68, 17630, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 6431, 275, 1019, 302, 724, 754, 496, 275, 1864, 302, 275, 3302, 440, 5855, 322, 80, 465, 368, 17, 368, 659, 322, 25, 17, 338, 24, 14, 329, 322, 28, 17, 338, 80, 14, 353, 887, 5223, 19, 4099, 19, 204, 204, 1449, 1020, 275, 1864, 302, 275, 3302, 17, 572, 732, 275, 2089, 31, 204, 38, 289, 368, 20, 23, 551, 93, 22, 13, 94, 23, 338, 469, 24, 14, 465, 610, 23, 13, 94, 24, 338, 469, 22, 14, 465, 610, 24, 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, 94, 22, 338, 469, 23, 2395, 204, 204, 4377, 5855, 31, 332, 13, 80, 465, 368, 17, 368, 659, 565, 13, 25, 17, 338, 24, 659, 329, 346, 13, 28, 17, 338, 80, 14, 204, 204, 8758, 275, 1019, 1025, 275, 2089, 31, 204, 27, 289, 368, 20, 23, 6229, 80, 465, 368, 20143, 24, 465, 724, 14, 465, 681, 2422, 80, 338, 368, 14, 465, 1168, 13, 22, 465, 571, 2395, 204, 204, 10714, 275, 1581, 31, 204, 1258, 289, 322, 80, 465, 368, 20143, 24, 465, 724, 14, 465, 681, 2422, 80, 338, 368, 14, 465, 1168, 13, 22, 465, 571, 14, 204, 1258, 289, 322, 80, 465, 368, 3085, 80, 338, 571, 14, 338, 681, 80, 338, 681, 465, 4662, 204, 1258, 289, 724, 67, 23, 338, 571, 80, 465, 724, 338, 571, 338, 681, 80, 338, 681, 465, 4662, 204, 1258, 289, 724, 67, 23, 338, 887, 80, 465, 4839, 204, 204, 18672, 275, 1581, 31, 204, 80, 67, 23, 338, 887, 80, 465, 4839, 338, 1598, 289, 500, 204, 80, 67, 23, 338, 887, 80, 465, 1233, 289, 500, 204, 204, 30142, 275, 6884, 1581, 31, 204, 13, 80, 338, 571, 2246, 23, 289, 500, 204, 204, 11471, 348, 724, 31, 204, 80, 289, 571, 204, 204, 4356, 17, 275, 700, 302, 724, 353, 571, 19, 0, 676, 7837, 24660, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 456, 1792, 3003, 302, 3595, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 4016, 1164, 394, 204, 268, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 264, 7929, 1164, 394, 204, 268, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4016, 31, 394, 289, 8897, 7929, 31, 394, 289, 35152, 204, 268, 320, 204, 268, 1865, 275, 7837, 24660, 440, 273, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 4016, 322, 325, 330, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 320, 204, 268, 370, 19, 4830, 289, 4016, 204, 268, 370, 19, 10301, 289, 7929, 204, 204, 264, 436, 456, 68, 1454, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 275, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 1198, 275, 943, 440, 275, 4016, 329, 7929, 204, 268, 456, 13, 75, 1954, 327, 19, 4830, 1134, 1454, 1134, 327, 19, 10301, 743, 204, 204, 264, 436, 456, 68, 2207, 68, 1454, 13, 327, 17, 943, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 379, 2207, 12, 448, 275, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 7837, 24660, 440, 379, 2207, 12, 448, 275, 7929, 204, 268, 1627, 68, 28108, 289, 7837, 24660, 13, 10301, 1022, 1627, 431, 204, 268, 314, 1198, 275, 943, 440, 275, 7929, 204, 268, 1627, 68, 28108, 19, 2102, 68, 1454, 13, 1454, 14, 204, 204, 264, 436, 456, 68, 15166, 68, 1454, 13, 327, 17, 943, 31, 394, 17, 4016, 31, 394, 289, 8897, 7929, 31, 394, 289, 11070, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 275, 800, 943, 440, 275, 1713, 4016, 329, 7929, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 9425, 19, 204, 268, 4016, 322, 325, 330, 334, 4016, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 7929, 322, 325, 330, 334, 7929, 311, 444, 4327, 311, 275, 943, 322, 2305, 353, 437, 1392, 782, 789, 204, 268, 320, 204, 268, 314, 666, 273, 717, 7837, 24660, 440, 275, 1713, 4016, 329, 7929, 204, 268, 6585, 68, 28108, 289, 7837, 24660, 13, 4830, 17, 7929, 14, 204, 268, 314, 1198, 275, 943, 440, 275, 4016, 329, 7929, 204, 268, 6585, 68, 28108, 19, 2102, 68, 1454, 13, 1454, 14, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 273, 7837, 24660, 204, 264, 19439, 289, 7837, 24660, 374, 204, 264, 314, 1198, 273, 943, 204, 264, 19439, 19, 2102, 68, 1454, 499, 5975, 17, 5179, 5397, 204, 264, 314, 1198, 273, 1627, 943, 204, 264, 19439, 19, 2102, 68, 2207, 68, 1454, 499, 24353, 68, 276, 68, 39246, 431, 204, 264, 314, 1198, 273, 6585, 943, 204, 264, 19439, 19, 2102, 68, 15166, 68, 1454, 499, 5975, 17, 5179, 14876, 388, 32739, 31, 6277, 388, 338, 35364, 1077, 431, 204, 0, 531, 5920, 532, 7664, 204, 204, 676, 5696, 31, 204, 264, 436, 1356, 68, 266, 6762, 13, 327, 17, 297, 22, 31, 394, 17, 297, 23, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 297, 22, 353, 273, 9266, 302, 273, 6479, 292, 297, 23, 19, 204, 204, 268, 457, 31, 204, 305, 297, 22, 322, 325, 330, 334, 782, 311, 1356, 19, 204, 305, 297, 23, 322, 325, 330, 334, 782, 311, 1813, 292, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 297, 22, 353, 273, 9266, 302, 273, 6479, 292, 297, 23, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 4260, 302, 275, 3157, 353, 1392, 204, 268, 397, 508, 297, 22, 521, 508, 297, 23, 31, 204, 305, 407, 1078, 204, 204, 268, 314, 666, 273, 4328, 348, 275, 2724, 292, 297, 22, 204, 268, 297, 22, 68, 765, 289, 7664, 13, 88, 22, 14, 204, 268, 2158, 68, 1530, 289, 500, 204, 268, 12390, 289, 500, 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, 314, 1861, 1048, 275, 2724, 292, 297, 23, 204, 268, 348, 2158, 68, 409, 292, 933, 13, 1796, 13, 88, 23, 4019, 204, 305, 314, 828, 275, 790, 1943, 353, 292, 297, 22, 17, 20726, 1163, 1040, 204, 305, 397, 297, 23, 64, 2997, 68, 409, 66, 292, 297, 22, 68, 765, 31, 204, 485, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 409, 2629, 4922, 368, 204, 485, 314, 828, 275, 1040, 353, 500, 17, 6342, 275, 12390, 1040, 204, 485, 397, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 409, 2629, 564, 500, 31, 204, 895, 12390, 1412, 368, 204, 204, 305, 314, 828, 275, 2158, 1302, 353, 5658, 1194, 275, 1277, 302, 297, 22, 17, 23300, 275, 2158, 204, 305, 397, 2158, 68, 409, 3721, 1245, 13, 88, 22, 14, 338, 368, 31, 204, 485, 314, 828, 830, 2724, 292, 275, 2158, 2216, 17, 407, 959, 204, 485, 397, 12390, 564, 1245, 1568, 765, 348, 1040, 292, 297, 22, 68, 765, 19, 1309, 374, 397, 1040, 564, 500, 1037, 204, 895, 407, 959, 204, 204, 485, 314, 828, 275, 1943, 630, 275, 1012, 302, 275, 2158, 353, 292, 297, 22, 17, 6342, 1163, 1040, 204, 485, 397, 297, 23, 64, 2997, 68, 1530, 66, 292, 297, 22, 68, 765, 31, 204, 895, 397, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 1530, 2629, 564, 500, 31, 204, 2058, 12390, 4922, 368, 204, 895, 297, 22, 68, 765, 64, 88, 23, 64, 2997, 68, 1530, 2629, 1412, 368, 204, 485, 314, 5360, 275, 2158, 311, 275, 1629, 204, 485, 2158, 68, 1530, 1412, 368, 204, 204, 268, 407, 1078, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1988, 289, 5696, 374, 204, 264, 456, 13, 7107, 19, 2555, 68, 266, 6762, 499, 429, 528, 388, 74, 359, 5267, 6779, 84, 3687, 204, 0, 531, 1498, 532, 5739, 17, 1884, 204, 647, 1437, 204, 204, 7555, 2191, 289, 5739, 64, 932, 13, 42, 953, 4110, 360, 659, 10280, 17, 421, 17, 1437, 19, 35168, 66, 204, 204, 461, 5363, 68, 16823, 68, 835, 13, 204, 264, 5026, 31, 5739, 64, 3109, 19, 1556, 17, 388, 6446, 13132, 2869, 716, 264, 3265, 31, 1884, 64, 7555, 2191, 17, 24678, 204, 14, 393, 1437, 19, 8654, 31, 204, 264, 320, 204, 264, 3963, 275, 2423, 1302, 302, 275, 6465, 2162, 521, 7802, 13132, 1877, 8910, 275, 800, 3265, 19, 204, 204, 264, 457, 31, 204, 268, 5026, 31, 334, 726, 311, 3120, 275, 3265, 311, 19, 204, 268, 3265, 31, 332, 927, 302, 3265, 311, 3120, 311, 275, 726, 19, 204, 204, 264, 475, 31, 204, 268, 334, 1812, 1302, 302, 275, 6465, 2162, 521, 7802, 13132, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 23601, 302, 5026, 329, 3265, 770, 508, 2216, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 23601, 302, 5026, 329, 3265, 2216, 204, 264, 397, 5026, 19, 2230, 374, 2167, 1245, 13, 3992, 330, 204, 268, 980, 987, 13, 204, 305, 283, 7, 25641, 3021, 302, 5026, 8267, 3470, 19, 1827, 1937, 329, 3265, 8267, 1796, 13, 3992, 17667, 770, 508, 2216, 3343, 204, 268, 1179, 204, 204, 264, 2423, 68, 1827, 289, 1306, 204, 264, 2162, 68, 3443, 289, 443, 204, 264, 2162, 68, 3443, 68, 1827, 289, 443, 204, 264, 10280, 68, 8344, 68, 3116, 68, 3443, 289, 1078, 204, 204, 264, 314, 1861, 1048, 275, 726, 677, 2665, 329, 3265, 204, 264, 348, 296, 17, 322, 835, 17, 6849, 14, 292, 3209, 13, 5714, 13, 3470, 19, 1827, 17, 3265, 4019, 204, 268, 397, 2381, 13, 3443, 17, 10280, 330, 204, 305, 314, 1426, 10280, 3265, 204, 305, 397, 6849, 564, 10280, 13, 3170, 17, 443, 17, 443, 330, 204, 485, 2423, 68, 1827, 19, 1223, 13, 835, 14, 204, 305, 902, 31, 204, 485, 2423, 68, 1827, 19, 1223, 13, 1796, 13, 2307, 4934, 3443, 19, 3992, 13, 835, 18742, 204, 204, 305, 314, 778, 397, 1422, 677, 273, 2162, 1112, 1877, 808, 10280, 204, 305, 397, 2162, 68, 3443, 353, 508, 443, 31, 204, 485, 10280, 68, 8344, 68, 3116, 68, 3443, 289, 959, 204, 204, 268, 1677, 2381, 13, 3443, 17, 421, 330, 204, 305, 314, 1426, 1534, 3265, 204, 305, 397, 2557, 19, 4561, 19, 271, 1293, 204, 485, 810, 31, 204, 895, 933, 13, 835, 5604, 3443, 66, 204, 485, 827, 9394, 31, 204, 895, 980, 9394, 13, 204, 2058, 283, 7, 7555, 463, 78, 98, 8267, 3443, 1937, 353, 685, 302, 933, 348, 5026, 302, 1302, 463, 3470, 19, 1827, 40964, 204, 895, 1179, 204, 204, 268, 1677, 1437, 19, 360, 68, 3116, 13, 3443, 330, 204, 305, 314, 1426, 2162, 3265, 204, 305, 397, 2162, 68, 3443, 68, 1827, 353, 443, 31, 204, 485, 2162, 68, 3443, 68, 1827, 289, 6849, 19, 1827, 204, 485, 2162, 68, 3443, 289, 1245, 13, 7912, 68, 1827, 14, 204, 204, 305, 902, 31, 204, 485, 810, 31, 204, 895, 2162, 68, 3443, 68, 1827, 289, 1437, 19, 23374, 68, 19298, 13, 3116, 68, 3443, 68, 1827, 17, 6849, 19, 1827, 14, 204, 485, 827, 12780, 31, 204, 895, 980, 9394, 13, 204, 2058, 283, 7, 837, 21168, 2162, 3265, 292, 1112, 338, 7550, 7687, 302, 45666, 3443, 19, 1827, 348, 6849, 292, 3265, 397, 1437, 19, 360, 68, 3116, 13, 3443, 2395, 40964, 204, 895, 1179, 204, 204, 485, 314, 778, 397, 1422, 677, 273, 10280, 1877, 808, 2162, 1112, 204, 485, 397, 10280, 68, 8344, 68, 3116, 68, 3443, 31, 204, 895, 2162, 68, 3443, 289, 500, 204, 204, 264, 314, 1716, 275, 2423, 2665, 440, 275, 2162, 1112, 2665, 204, 264, 397, 2162, 68, 3443, 353, 508, 443, 31, 204, 268, 2423, 68, 1827, 289, 2423, 68, 1827, 2022, 3116, 68, 3443, 66, 465, 458, 13, 3116, 68, 3443, 68, 1827, 14, 465, 2423, 68, 1827, 64, 3116, 68, 3443, 5853, 204, 204, 264, 407, 1437, 19, 8654, 13, 7912, 68, 1827, 14, 204, 204, 204, 461, 1814, 68, 3992, 68, 633, 68, 20232, 13, 204, 264, 5026, 31, 5739, 64, 3109, 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, 1556, 17, 388, 6446, 13132, 2869, 716, 264, 3265, 31, 1884, 64, 7555, 2191, 17, 24678, 204, 14, 393, 1884, 64, 3109, 19, 35168, 17, 26171, 204, 264, 320, 204, 264, 2208, 273, 927, 302, 3265, 311, 273, 927, 302, 2162, 3265, 19, 204, 204, 264, 457, 31, 204, 268, 5026, 31, 334, 726, 311, 3120, 275, 3265, 311, 19, 204, 268, 3265, 31, 332, 927, 302, 3265, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 302, 2162, 3265, 19, 204, 264, 320, 204, 264, 314, 21374, 10280, 329, 2162, 3265, 204, 264, 10280, 68, 3992, 289, 927, 13, 998, 348, 1112, 292, 3265, 397, 2381, 13, 998, 17, 10280, 602, 204, 264, 2162, 68, 3992, 289, 927, 13, 998, 348, 1112, 292, 3265, 397, 1437, 19, 360, 68, 3116, 13, 998, 602, 204, 204, 264, 314, 3963, 275, 14932, 336, 2665, 302, 2162, 3265, 204, 264, 2162, 68, 998, 68, 1827, 289, 1437, 19, 23374, 68, 19298, 46530, 3116, 68, 998, 19, 1827, 348, 2162, 68, 998, 292, 2162, 68, 3992, 694, 204, 204, 264, 314, 4347, 275, 542, 302, 2423, 5150, 204, 264, 771, 68, 7912, 68, 10840, 289, 1245, 13, 13465, 68, 3992, 14, 465, 1245, 13, 3116, 68, 998, 68, 1827, 14, 204, 204, 264, 314, 778, 397, 275, 2162, 1112, 353, 10094, 311, 275, 1012, 204, 264, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 289, 353, 68, 3116, 68, 998, 68, 43586, 68, 633, 68, 1530, 13, 3992, 14, 204, 204, 264, 314, 3963, 275, 542, 302, 2875, 22956, 2518, 329, 1877, 275, 2162, 1112, 204, 264, 771, 68, 8765, 22956, 68, 12505, 289, 1245, 13, 3116, 68, 998, 68, 1827, 14, 397, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 902, 500, 204, 264, 771, 68, 8765, 22956, 68, 8344, 289, 322, 920, 68, 7912, 68, 10840, 338, 1245, 13, 3116, 68, 998, 68, 1827, 602, 397, 2162, 68, 998, 68, 43586, 68, 633, 68, 1530, 902, 771, 68, 7912, 68, 10840, 204, 204, 264, 717, 68, 3992, 289, 1306, 204, 264, 348, 2658, 17, 1112, 292, 3209, 13, 3992, 330, 204, 268, 397, 2381, 13, 998, 17, 10280, 330, 204, 305, 314, 1426, 10280, 3265, 204, 305, 771, 68, 8765, 22956, 68, 8344, 4922, 368, 204, 305, 717, 68, 998, 289, 1437, 19, 8268, 13, 21, 17, 5026, 19, 835, 13, 2230, 659, 2322, 34, 3470, 19, 3075, 5604, 998, 66, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 1957, 68, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 305, 771, 68, 8765, 22956, 68, 12505, 1412, 368, 204, 204, 268, 1677, 2381, 13, 998, 17, 421, 330, 204, 305, 314, 1426, 1534, 3265, 204, 305, 717, 68, 998, 289, 1437, 19, 3116, 13, 998, 17, 4798, 34, 3109, 19, 5515, 17, 2322, 34, 3470, 19, 3075, 14, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 1957, 68, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 204, 268, 1677, 1437, 19, 360, 68, 3116, 13, 998, 330, 204, 305, 314, 1426, 2162, 3265, 204, 305, 717, 68, 998, 289, 5258, 68, 2004, 68, 8765, 22956, 13, 998, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 14, 204, 204, 268, 717, 68, 3992, 19, 1223, 13, 1957, 68, 998, 14, 204, 204, 264, 407, 927, 13, 1957, 68, 3992, 14, 204, 204, 204, 461, 1936, 68, 3992, 13, 70, 17, 308, 330, 204, 264, 320, 204, 264, 778, 397, 970, 1112, 4550, 529, 1936, 19, 204, 204, 264, 457, 31, 204, 268, 273, 31, 334, 1043, 1112, 4781, 19, 204, 268, 308, 31, 334, 1350, 1112, 4781, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 1112, 4550, 529, 1936, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 397, 1437, 19, 360, 68, 3116, 13, 70, 14, 329, 1437, 19, 360, 68, 3116, 13, 71, 330, 204, 268, 407, 1437, 19, 4597, 13, 70, 17, 308, 14, 204, 264, 1677, 508, 1437, 19, 360, 68, 3116, 13, 70, 14, 329, 508, 1437, 19, 360, 68, 3116, 13, 71, 330, 204, 268, 407, 273, 564, 308, 204, 264, 902, 31, 204, 268, 407, 1078, 204, 204, 204, 461, 353, 68, 1625, 760, 68, 998, 13, 998, 330, 204, 264, 320, 204, 264, 778, 397, 273, 800, 1112, 353, 273, 1236, 760, 19, 204, 204, 264, 457, 31, 204, 268, 1112, 31, 334, 1112, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 1112, 353, 273, 1236, 760, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 407, 2381, 13, 998, 17, 10280, 14, 329, 1112, 564, 10280, 13, 3170, 17, 443, 17, 443, 14, 204, 204, 204, 461, 353, 68, 3116, 68, 998, 68, 43586, 68, 633, 68, 1530, 13, 3992, 330, 204, 264, 320, 204, 264, 778, 397, 275, 24227, 1085, 302, 275, 636, 1271, 353, 10094, 311, 275, 2962, 2964, 77, 5117, 19, 204, 204, 264, 457, 31, 204, 268, 3265, 31, 334, 3265, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 959, 397, 275, 24227, 1085, 353, 10094, 311, 275, 2962, 2964, 77, 5117, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 869, 68, 3116, 68, 998, 289, 1078, 204, 264, 7346, 68, 3116, 68, 998, 289, 959, 204, 204, 264, 397, 1437, 19, 360, 68, 3116, 13, 3992, 64, 21, 1037, 204, 268, 407, 959, 204, 204, 264, 348, 1112, 292, 3265, 64, 22, 15136, 204, 268, 397, 1437, 19, 360, 68, 3116, 13, 998, 330, 204, 305, 397, 508, 869, 68, 3116, 68, 998, 31, 204, 485, 869, 68, 3116, 68, 998, 289, 959, 204, 305, 1677, 508, 7346, 68, 3116, 68, 998, 31, 204, 485, 407, 959, 204, 204, 268, 1677, 2381, 13, 998, 17, 10280, 330, 204, 305, 397, 869, 68, 3116, 68, 998, 31, 204, 485, 7346, 68, 3116, 68, 998, 289, 1078, 204, 204, 264, 407, 1078, 204, 204, 204, 461, 5258, 68, 2004, 68, 8765, 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, 22956, 13, 3116, 17, 771, 68, 8765, 22956, 68, 12505, 17, 771, 68, 8765, 22956, 68, 8344, 330, 204, 264, 320, 204, 264, 17221, 273, 2162, 440, 2875, 22956, 19, 204, 204, 264, 457, 31, 204, 268, 2162, 31, 334, 2162, 311, 5258, 19, 204, 268, 771, 68, 8765, 22956, 68, 12505, 31, 334, 542, 302, 2875, 22956, 311, 881, 2518, 275, 2162, 19, 204, 268, 771, 68, 8765, 22956, 68, 8344, 31, 334, 542, 302, 2875, 22956, 311, 881, 1877, 275, 2162, 19, 204, 204, 264, 475, 31, 204, 268, 334, 12329, 2162, 19, 204, 264, 320, 204, 264, 314, 1255, 2875, 22956, 2518, 275, 2162, 204, 264, 348, 906, 292, 933, 13, 920, 68, 8765, 22956, 68, 12505, 330, 204, 268, 2162, 289, 2162, 19, 16876, 13, 21, 14, 204, 204, 264, 314, 1255, 2875, 22956, 1877, 275, 2162, 204, 264, 348, 906, 292, 933, 13, 920, 68, 8765, 22956, 68, 8344, 330, 204, 268, 2162, 289, 2162, 19, 16876, 2422, 22, 14, 204, 204, 264, 407, 2162, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 2162, 204, 264, 2162, 289, 1437, 19, 9054, 13, 24, 17, 681, 17, 720, 14, 204, 204, 264, 314, 3963, 275, 636, 1271, 1302, 204, 264, 3265, 289, 322, 22, 17, 10280, 13, 22, 17, 571, 659, 435, 14, 204, 264, 636, 1271, 68, 835, 289, 5363, 68, 16823, 68, 835, 13, 3116, 17, 3265, 14, 204, 264, 456, 13, 75, 7, 5136, 1271, 1302, 31, 463, 16823, 68, 835, 743, 204, 204, 264, 314, 2208, 3265, 311, 10013, 204, 264, 2162, 68, 3992, 289, 1814, 68, 3992, 68, 633, 68, 20232, 13, 3116, 17, 3265, 14, 204, 264, 456, 13, 75, 7, 1556, 3265, 31, 463, 3116, 68, 3992, 743, 204, 0, 461, 456, 68, 11230, 68, 2922, 13, 1630, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 4069, 886, 292, 275, 537, 458, 17, 8367, 560, 275, 2219, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 353, 508, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 778, 397, 537, 353, 273, 458, 302, 1892, 204, 264, 397, 508, 2381, 13, 1630, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 93, 17, 421, 14, 348, 610, 292, 886, 330, 204, 268, 980, 987, 499, 3383, 1631, 444, 273, 458, 302, 1892, 431, 204, 204, 264, 314, 21374, 4069, 329, 2219, 886, 1025, 1792, 3330, 204, 264, 4069, 68, 1630, 289, 551, 920, 348, 771, 292, 886, 397, 771, 1564, 435, 2167, 500, 66, 226, 314, 4496, 458, 6459, 348, 9208, 204, 264, 2219, 68, 1630, 289, 551, 920, 348, 771, 292, 886, 397, 771, 1564, 435, 564, 500, 66, 204, 204, 264, 314, 1198, 4069, 886, 8367, 560, 2219, 886, 204, 264, 456, 499, 29571, 886, 2212, 204, 264, 348, 771, 292, 4069, 68, 1630, 31, 204, 268, 456, 13, 920, 14, 204, 264, 456, 3273, 83, 15605, 886, 2212, 204, 264, 348, 771, 292, 2219, 68, 1630, 31, 204, 268, 456, 13, 920, 14, 204, 204, 8, 1165, 1265, 31, 204, 461, 667, 374, 393, 443, 31, 204, 264, 886, 289, 551, 21, 17, 368, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 66, 204, 264, 456, 68, 11230, 68, 2922, 13, 1630, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7664, 204, 204, 461, 1020, 68, 12761, 68, 2997, 13, 88, 31, 394, 17, 1029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 475, 275, 2311, 2158, 6479, 302, 1758, 88, 69, 496, 3192, 830, 2724, 292, 1758, 2170, 6557, 204, 615, 264, 457, 31, 204, 268, 297, 322, 325, 330, 334, 537, 782, 19, 204, 268, 1029, 322, 325, 330, 334, 782, 1174, 275, 2724, 311, 1813, 348, 19, 204, 615, 264, 475, 31, 204, 268, 394, 31, 334, 2311, 2158, 6479, 302, 1758, 88, 69, 496, 3192, 830, 2724, 292, 1758, 2170, 6557, 204, 264, 320, 204, 615, 264, 314, 778, 348, 2872, 537, 204, 264, 397, 508, 297, 521, 508, 1029, 521, 1245, 13, 2170, 14, 1323, 1245, 13, 88, 330, 204, 268, 407, 3026, 204, 204, 264, 314, 666, 273, 4328, 348, 275, 2724, 292, 275, 1029, 782, 204, 264, 1029, 68, 5951, 289, 7664, 13, 2170, 14, 204, 264, 1945, 68, 8485, 289, 1245, 13, 2170, 14, 204, 615, 264, 314, 977, 275, 2158, 10873, 204, 264, 2158, 68, 1530, 289, 500, 204, 264, 1006, 68, 2997, 68, 1530, 289, 500, 204, 264, 1006, 68, 2997, 68, 1205, 289, 818, 611, 3643, 534, 204, 615, 264, 314, 1861, 1048, 275, 537, 782, 204, 264, 348, 2158, 68, 409, 17, 1125, 292, 3209, 13, 88, 17, 1012, 34, 22, 330, 204, 268, 314, 828, 275, 1943, 353, 292, 275, 1029, 782, 17, 20726, 275, 1945, 2724, 1040, 204, 268, 397, 1125, 292, 1029, 68, 5951, 31, 204, 305, 1029, 68, 5951, 64, 2441, 66, 4922, 368, 204, 305, 397, 1029, 68, 5951, 64, 2441, 66, 3721, 500, 31, 204, 485, 1945, 68, 8485, 4922, 368, 204, 822, 268, 314, 828, 830, 2724, 292, 275, 1029, 782, 529, 1193, 17, 810, 311, 14792, 275, 2158, 204, 268, 1335, 1945, 68, 8485, 564, 500, 31, 204, 305, 314, 828, 275, 790, 2158, 353, 5406, 1194, 275, 2311, 2158, 17, 1395, 275, 2311, 2158, 204, 305, 397, 2158, 68, 409, 338, 2158, 68, 1530, 962, 1006, 68, 2997, 68, 1205, 31, 204, 485, 1006, 68, 2997, 68, 1530, 289, 2158, 68, 1530, 204, 485, 1006, 68, 2997, 68, 1205, 289, 2158, 68, 409, 338, 2158, 68, 1530, 204, 3123, 305, 314, 828, 275, 1943, 630, 275, 1012, 302, 275, 2158, 353, 292, 275, 1029, 782, 17, 6342, 275, 1945, 2724, 1040, 204, 305, 397, 297, 64, 2997, 68, 1530, 66, 292, 1029, 68, 5951, 31, 204, 485, 1029, 68, 5951, 64, 88, 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, 2997, 68, 1530, 2629, 1412, 368, 204, 485, 397, 1029, 68, 5951, 64, 88, 64, 2997, 68, 1530, 2629, 1323, 500, 31, 204, 895, 1945, 68, 8485, 1412, 368, 204, 3123, 305, 314, 5360, 275, 1012, 302, 275, 2158, 311, 275, 1629, 204, 305, 2158, 68, 1530, 1412, 368, 204, 615, 264, 314, 455, 275, 2311, 2158, 6479, 204, 264, 407, 297, 64, 885, 68, 2997, 68, 1530, 31, 885, 68, 2997, 68, 1530, 465, 1006, 68, 2997, 68, 1205, 66, 397, 1006, 68, 2997, 68, 1205, 2167, 818, 611, 3643, 534, 902, 3026, 204, 204, 8, 1165, 1265, 31, 204, 2102, 13, 2269, 68, 12761, 68, 2997, 499, 3007, 13422, 42, 10707, 39, 2313, 40, 528, 388, 8927, 3687, 204, 0, 1252, 12197, 17, 292, 18692, 17, 2355, 12052, 1662, 1429, 7330, 10762, 292, 348, 5261, 521, 273, 1627, 302, 5261, 17, 348, 273, 4153, 690, 3155, 19, 29376, 5971, 11647, 311, 19063, 9412, 4419, 11500, 17, 1273, 20477, 16142, 23849, 447, 6293, 348, 1017, 45173, 292, 275, 39682, 19, 35616, 17, 1698, 12101, 529, 19923, 2355, 292, 275, 4886, 292, 275, 798, 302, 18776, 7705, 32, 5862, 17, 1429, 9412, 4419, 11500, 874, 11586, 808, 1629, 5395, 19, 204, 97, 1834, 12337, 3062, 353, 273, 22526, 19, 3665, 618, 1340, 29508, 6333, 2178, 560, 21536, 490, 16973, 204, 18, 5028, 4315, 302, 2077, 1890, 427, 1268, 1415, 9421, 329, 2761, 18893, 17, 529, 13711, 17, 2090, 2474, 9627, 17, 497, 275, 7705, 302, 2355, 17, 448, 397, 8295, 1466, 24923, 11584, 348, 275, 8006, 17, 329, 508, 348, 275, 4757, 20518, 299, 490, 32, 521, 1051, 4315, 302, 1605, 2549, 940, 3473, 302, 275, 7705, 329, 275, 1120, 302, 275, 904, 4315, 17, 2900, 1017, 24032, 19, 204, 18, 14083, 23835, 17, 4669, 311, 6901, 17488, 322, 18102, 4662, 17, 1916, 1845, 5224, 292, 12971, 480, 19, 27762, 17, 334, 8135, 880, 302, 14083, 23835, 322, 2132, 2418, 14, 2241, 19, 931, 17, 284, 19, 2468, 19, 204, 18, 595, 1239, 2077, 5140, 273, 13598, 21651, 17, 292, 928, 830, 1163, 24666, 1856, 7116, 4430, 311, 1102, 773, 830, 1017, 6160, 17, 1422, 1784, 7301, 444, 13711, 497, 1017, 26446, 270, 657, 17, 368, 19, 24405, 17, 3119, 17066, 630, 2181, 302, 26161, 288, 19, 435, 19, 16156, 17, 1415, 17, 311, 5068, 6799, 321, 25635, 302, 6525, 1493, 329, 43596, 13609, 302, 6248, 17, 2549, 508, 9984, 5516, 360, 3066, 15987, 292, 275, 3566, 20123, 302, 4757, 19, 571, 19, 35923, 1405, 17, 497, 13117, 275, 36927, 46936, 1259, 302, 5337, 440, 451, 5178, 5501, 275, 1629, 302, 1120, 329, 302, 4355, 19, 17789, 1675, 1415, 874, 1236, 1120, 2549, 444, 26525, 311, 8294, 11077, 292, 275, 7458, 15995, 32, 329, 302, 3200, 17, 2549, 42406, 11077, 311, 437, 4748, 292, 273, 19063, 15995, 19, 334, 6160, 17, 292, 275, 1043, 1322, 17, 1784, 444, 3870, 560, 22635, 12101, 1698, 19, 204, 18, 14083, 23835, 17, 4669, 311, 26755, 34485, 1118, 577, 17, 11047, 720, 17, 1916, 1845, 5224, 292, 12971, 480, 19, 27762, 17, 334, 8135, 880, 302, 14083, 23835, 322, 2132, 2418, 14, 2241, 19, 931, 17, 284, 19, 5487, 4154, 7378, 17, 6789, 7760, 368, 19, 204, 18, 334, 1838, 302, 2457, 275, 3651, 4368, 292, 275, 10033, 2688, 13372, 329, 10045, 440, 4362, 33184, 516, 16289, 204, 18, 39842, 929, 15956, 816, 19, 334, 12060, 9186, 302, 5904, 17, 11010, 382, 19, 8879, 2680, 35688, 15576, 311, 275, 14531, 29874, 17, 16016, 204, 18, 551, 6350, 15747, 24391, 66, 529, 4935, 1182, 3287, 292, 275, 3307, 302, 275, 5140, 1194, 1017, 3390, 23207, 311, 275, 5641, 3390, 302, 275, 5140, 19, 1547, 353, 348, 808, 5127, 496, 382, 874, 6202, 1742, 292, 6972, 302, 14191, 299, 1017, 2355, 292, 2077, 5140, 25042, 311, 273, 22082, 3390, 7032, 19, 1547, 353, 275, 1729, 5127, 496, 275, 31807, 35704, 302, 2077, 3477, 11278, 12218, 2355, 311, 275, 5439, 302, 275, 5739, 17, 1936, 2355, 292, 1051, 9354, 329, 5945, 316, 2355, 1609, 6982, 3390, 292, 275, 904, 19, 204, 18, 43080, 41909, 17, 27914, 302, 10224, 17, 7856, 630, 6720, 4618, 17, 10224, 322, 33286, 7500, 17, 35223, 659, 448, 8316, 292, 275, 10195, 21466, 36664, 1548, 322, 33286, 2468, 17, 35223, 659, 284, 19, 571, 19, 41909, 867, 15024, 348, 273, 388, 1625, 7, 9148, 523, 273, 24718, 928, 1784, 13344, 4834, 275, 1259, 5623, 316, 523, 275, 7032, 302, 3390, 19, 0, 1449, 2616, 275, 800, 2231, 17, 572, 1519, 311, 1696, 275, 1552, 302, 2758, 322, 49034, 330, 204, 204, 13, 26, 13, 23, 8787, 23, 338, 681, 15, 30, 48489, 24, 15, 23, 465, 571, 13, 23, 8787, 26, 13, 22, 602, 802, 322, 1003, 16, 26, 14, 204, 204, 5834, 17, 2249, 677, 5620, 275, 3099, 6204, 275, 11131, 31, 204, 18, 720, 13, 23, 14, 289, 931, 204, 18, 931, 15, 23, 289, 1199, 204, 18, 681, 15, 30, 289, 5075, 204, 18, 5075, 48489, 24, 289, 1598, 204, 18, 1598, 15, 23, 289, 3528, 204, 18, 571, 13, 23, 14, 289, 887, 204, 18, 887, 15, 26, 13, 22, 14, 289, 887, 15, 26, 289, 2468, 204, 204, 4063, 17, 8776, 1605, 1019, 1818, 1025, 275, 2231, 31, 204, 13, 1036, 338, 3528, 465, 2468, 14, 802, 322, 1003, 16, 26, 14, 204, 204, 12219, 17, 5620, 275, 3099, 6204, 275, 11131, 31, 204, 18, 1199, 338, 3528, 289, 338, 25, 204, 18, 338, 25, 465, 2468, 289, 5789, 204, 18, 931, 465, 720, 289, 2153, 204, 204, 4063, 17, 8776, 1605, 1019, 1818, 1025, 275, 2231, 31, 204, 4635, 802, 2153, 204, 204, 673, 2423, 722, 353, 31, 204, 4635, 20, 1909, 716, 204, 673, 1917, 1988, 6965, 6162, 448, 490, 1583, 508, 1696, 275, 1552, 302, 2758, 329, 275, 800, 2231, 5728, 19, 334, 1706, 1660, 18, 1424, 18, 2290, 4183, 1352, 353, 6680, 4166, 19, 0, 673, 16173, 329, 19477, 44216, 45576, 15847, 4558, 440, 275, 11981, 4886, 329, 275, 10918, 20242, 16588, 529, 31122, 299, 273, 4316, 11666, 37462, 311, 1995, 1662, 311, 3671, 275, 10602, 440, 275, 1182, 1194, 2031, 5857, 4598, 17, 15131, 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, 292, 275, 2202, 7001, 5899, 1415, 3480, 311, 732, 4316, 11666, 2986, 1101, 874, 1236, 3073, 311, 1475, 19, 334, 10769, 529, 3536, 17, 10619, 25397, 17, 4316, 9090, 17, 8608, 302, 5132, 17, 8608, 302, 14334, 17, 8608, 302, 6020, 22046, 19, 3846, 275, 1563, 5111, 311, 444, 496, 508, 2545, 5096, 311, 3326, 275, 542, 329, 18650, 302, 1017, 2804, 6644, 311, 3014, 311, 6863, 33392, 19464, 448, 2590, 448, 273, 2442, 302, 3490, 3232, 311, 8602, 521, 1950, 18, 16267, 33392, 2667, 19, 1765, 2589, 8453, 1415, 31715, 3793, 5913, 496, 1199, 1182, 9010, 497, 14072, 5570, 2667, 329, 24016, 19, 592, 4998, 17, 275, 3307, 19671, 302, 1605, 4598, 1425, 4767, 275, 7977, 302, 1017, 2804, 448, 2590, 448, 275, 8001, 329, 2667, 302, 1017, 9644, 19, 16623, 11666, 353, 273, 6556, 5910, 311, 1340, 19041, 1605, 3490, 19, 1547, 353, 275, 7032, 302, 8565, 1910, 5570, 88, 329, 353, 508, 15434, 8578, 348, 275, 2584, 490, 3629, 292, 3099, 302, 13887, 329, 4383, 19, 16173, 329, 19477, 44216, 45576, 5111, 311, 2861, 2379, 496, 1330, 5805, 618, 2106, 7977, 329, 10574, 16688, 448, 8235, 448, 4316, 11666, 17, 490, 355, 41291, 311, 444, 1182, 12459, 1376, 19, 5486, 884, 88, 10509, 3153, 1415, 884, 358, 1742, 726, 299, 1120, 11200, 497, 1017, 917, 302, 2013, 19, 0, 531, 589, 8991, 367, 532, 4923, 68, 647, 17, 4854, 17, 456, 68, 2539, 204, 531, 1498, 532, 1061, 17, 1535, 204, 531, 7124, 19, 1703, 532, 9566, 68, 11967, 204, 204, 531, 24799, 11743, 93, 532, 908, 17, 8811, 204, 531, 24799, 11743, 93, 19, 2005, 68, 9315, 19, 20433, 532, 322, 204, 264, 39180, 578, 4093, 8048, 17, 204, 264, 783, 578, 4093, 8048, 17, 204, 264, 1716, 578, 4093, 8048, 17, 204, 264, 10756, 68, 5433, 68, 676, 68, 12252, 17, 204, 14, 204, 204, 676, 38030, 13, 24012, 578, 4093, 8048, 17, 783, 578, 4093, 8048, 17, 1716, 578, 4093, 8048, 330, 204, 264, 320, 204, 264, 2646, 273, 3783, 542, 3966, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 325, 330, 334, 1222, 302, 275, 3783, 542, 19, 204, 264, 320, 204, 204, 264, 23765, 11410, 68, 3344, 289, 388, 4700, 68, 1190, 7, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 668, 68, 8019, 68, 3282, 13, 4621, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 10802, 2557, 348, 830, 886, 18871, 560, 275, 575, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 10802, 2557, 348, 830, 3783, 886, 19, 204, 268, 320, 204, 268, 407, 4963, 19, 655, 68, 8019, 13, 3170, 17, 930, 2645, 14, 204, 204, 264, 436, 636, 68, 8019, 68, 3282, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 10802, 2557, 348, 275, 47293, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 10802, 2557, 348, 275, 3783, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 655, 68, 8019, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 264, 436, 9393, 68, 48020, 1430, 68, 12533, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 3431, 6692, 14991, 6171, 348, 275, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 5327, 14991, 6171, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 722, 302, 275, 2661, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1510, 68, 13771, 68, 48020, 1430, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 668, 68, 37944, 5826, 68, 3282, 13, 4621, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 33944, 2557, 348, 830, 886, 18871, 560, 275, 575, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 33944, 2557, 348, 830, 3783, 886, 19, 204, 268, 320, 204, 268, 407, 4963, 19, 655, 68, 37944, 5826, 13, 3170, 17, 930, 2645, 14, 204, 204, 264, 436, 636, 68, 37944, 5826, 68, 3282, 13, 327, 17, 930, 2645, 31, 1061, 64, 325, 17, 394, 694, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 4071, 275, 33944, 2557, 348, 275, 47293, 3783, 542, 19, 204, 204, 268, 457, 31, 204, 305, 930, 2645, 31, 6119, 2072, 311, 2081, 275, 1563, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 1174, 275, 33944, 2557, 348, 275, 3783, 542, 19, 204, 268, 320, 204, 268, 407, 370, 19, 655, 68, 37944, 5826, 13, 327, 19, 359, 17, 930, 2645, 14, 204, 204, 204, 676, 3301, 9070, 13, 1218, 578, 4093, 8048, 17, 1716, 578, 4093, 8048, 330, 204, 264, 320, 204, 264, 3301, 850, 348, 3783, 542, 2557, 19, 204, 204, 264, 1532, 31, 204, 268, 23765, 11410, 68, 3344, 322, 325, 330, 334, 588, 302, 275, 2557, 726, 19, 204, 264, 320, 204, 204, 264, 436, 1014, 68, 805, 13, 327, 17, 3783, 68, 1190, 68, 359, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1274, 348, 275, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 3783, 68, 1190, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 3783, 542, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1274, 348, 275, 1014, 19, 204, 204, 268, 1632, 31, 204, 305, 908, 19, 1962, 44924, 31, 828, 275, 3783, 542, 1222, 353, 508, 273, 782, 19, 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 ]

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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, 523, 273, 19368, 10885, 1561, 3343, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 7987, 904, 3263, 19, 204, 264, 320, 204, 264, 314, 763, 275, 10885, 1561, 1483, 204, 264, 1127, 68, 1270, 289, 636, 68, 38747, 68, 4038, 68, 1270, 374, 204, 204, 264, 314, 1198, 275, 10885, 1561, 1483, 204, 264, 456, 499, 29769, 6136, 10455, 2212, 204, 264, 456, 13, 75, 7, 29769, 6136, 31, 463, 865, 68, 1270, 736, 38747, 68, 4038, 9436, 204, 264, 456, 13, 75, 7, 29769, 6136, 12815, 31, 463, 865, 68, 1270, 736, 38747, 68, 4038, 68, 2256, 9436, 204, 264, 456, 13, 75, 7, 21684, 18258, 31, 463, 865, 68, 1270, 736, 25313, 9436, 204, 264, 456, 13, 75, 7, 9117, 31, 463, 865, 68, 1270, 736, 9306, 9436, 204, 204, 264, 314, 778, 397, 275, 10885, 1561, 353, 19368, 204, 264, 1356, 68, 25518, 68, 865, 13, 865, 68, 1270, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 18, 2935, 5050, 302, 15781, 2744, 529, 8077, 560, 36183, 36, 204, 18, 2026, 770, 872, 4522, 15781, 2744, 36, 204, 18, 2935, 529, 275, 2327, 565, 599, 11976, 302, 15781, 16895, 36, 204, 18, 2026, 770, 872, 6721, 273, 5771, 872, 2927, 273, 18643, 36, 204, 18, 2935, 11080, 1330, 273, 8634, 5814, 273, 18643, 36, 204, 18, 2026, 618, 15781, 2744, 444, 28918, 36, 204, 18, 2935, 529, 275, 970, 1901, 2323, 15781, 2744, 36, 204, 18, 2935, 353, 275, 1901, 2323, 15781, 908, 36, 204, 18, 2026, 618, 872, 5068, 15781, 2744, 630, 2941, 36, 204, 18, 2935, 529, 275, 15298, 302, 6162, 16661, 36, 204, 18, 2026, 1910, 14263, 770, 16610, 3253, 36, 204, 18, 2935, 1856, 872, 770, 292, 1322, 302, 15781, 908, 36, 204, 18, 2935, 529, 275, 1913, 720, 7155, 2744, 36, 204, 18, 10643, 16661, 529, 1182, 10597, 8033, 292, 15781, 2744, 36, 204, 18, 2935, 353, 275, 1610, 3253, 302, 1901, 7155, 2744, 36, 204, 18, 2935, 11080, 1330, 872, 3074, 15781, 630, 275, 9263, 690, 36, 204, 18, 2935, 353, 275, 1901, 2323, 1187, 302, 5068, 578, 7155, 2744, 36, 204, 18, 16655, 770, 1901, 15781, 2744, 1336, 36, 204, 18, 2935, 353, 1051, 302, 275, 667, 8095, 302, 15781, 2744, 36, 204, 3728, 5050, 302, 15781, 2744, 529, 8077, 560, 36183, 36, 204, 673, 2327, 1901, 2323, 3003, 302, 24989, 18, 5969, 2744, 1466, 4816, 39428, 322, 5645, 19, 26, 2847, 659, 20254, 17459, 20, 7871, 322, 1036, 19, 28, 2847, 14, 329, 34177, 9750, 15781, 322, 24, 19, 30, 2847, 789, 19, 204, 2920, 770, 872, 4522, 15781, 2744, 36, 204, 673, 4376, 2986, 348, 28305, 25759, 3780, 529, 6338, 5197, 17, 5431, 1491, 13594, 17, 15739, 18062, 17, 329, 14223, 13312, 424, 19, 5375, 5743, 2744, 529, 14790, 7675, 560, 3210, 302, 3422, 6605, 17, 34070, 18062, 322, 1424, 16610, 17, 42496, 2156, 17, 33465, 17, 6396, 17, 329, 5261, 14, 329, 6338, 5197, 19, 204, 3728, 529, 275, 2327, 565, 599, 11976, 302, 15781, 16895, 36, 204, 14433, 1119, 46459, 15717, 14363, 18499, 43685, 56, 36, 28817, 275, 31, 2317, 4014, 302, 275, 1874, 32, 2317, 42526, 329, 39795, 32, 329, 2317, 16864, 4238, 275, 31, 14747, 1552, 32, 15152, 41660, 32, 9273, 15152, 5375, 5743, 6318, 19, 204, 2920, 770, 872, 6721, 273, 5771, 872, 2927, 273, 18643, 36, 204, 6648, 30346, 7155, 2744, 275, 1629, 2501, 31094, 560, 32914, 1422, 869, 1742, 437, 908, 32, 46958, 275, 3200, 302, 3780, 17, 974, 1950, 47706, 3269, 32, 5059, 275, 6797, 302, 275, 18643, 17, 15298, 17, 329, 1706, 545, 2086, 32, 44968, 6323, 35755, 329, 28100, 761, 504, 32, 42, 8364, 3888, 521, 14453, 329, 1995, 1475, 32, 329, 19, 17724, 275, 1682, 1660, 329, 1682, 3754, 440, 275, 5771, 19, 204, 3728, 11080, 1330, 273, 8634, 5814, 273, 18643, 36, 204, 5009, 1631, 7647, 496, 275, 8634, 884, 88, 18643, 8077, 872, 2641, 11268, 19, 1765, 1763, 17, 397, 275, 8634, 5585, 311, 24217, 1704, 521, 2830, 8650, 17, 329, 9430, 15342, 17, 872, 4006, 884, 89, 874, 273, 7319, 19, 828, 275, 8634, 11076, 884, 89, 24217, 1704, 521, 2830, 8650, 17, 329, 872, 21767, 497, 437, 9490, 448, 273, 722, 17, 872, 1784, 874, 1602, 31631, 34905, 19, 204, 2920, 618, 15781, 2744, 444, 28918, 36, 204, 1003, 36956, 348, 32259, 299, 5375, 5743, 39774, 42, 853, 562, 275, 5544, 7705, 302, 15781, 16895, 19, 9517, 15507, 2133, 15781, 30560, 19189, 15913, 19, 9517, 18447, 1356, 3217, 276, 2219, 16596, 1356, 3217, 664, 331, 14823, 19, 9517, 16033, 275, 21553, 322, 276, 3161, 30637, 14, 1151, 490, 1818, 19, 9517, 11328, 974, 273, 588, 10733, 19, 9517, 12006, 273, 2962, 292, 6509, 302, 275, 4048, 917, 19, 9517, 13511, 10350, 19, 13936, 2696, 5013, 8617, 204, 3728, 529, 275, 970, 1901, 2323, 15781, 2744, 36, 204, 673, 1901, 2323, 3003, 302, 8316, 15781, 2744, 1466, 40726, 39795, 329, 2296, 3659, 2233, 551, 11600, 368, 1664, 334, 1901, 2323, 8095, 302, 15781, 2744, 1466, 974, 36183, 322, 5145, 3794, 302, 3101, 1987, 302, 11458, 14, 292, 4816, 36595, 329, 19073, 292, 9680, 1987, 19, 204, 3728, 353, 275, 1901, 2323, 15781, 908, 36, 204, 673, 1901, 2323, 1187, 302, 908, 867, 9263, 690, 302, 16895, 17, 8367, 560, 287, 2138, 329, 9263, 17459, 17, 9263, 17502, 17, 521, 9263, 16895, 2233, 322, 1538, 22506, 2553, 1399, 15781, 789, 332, 16890, 5945, 302, 15781, 16895, 2744, 1336, 292, 11980, 1491, 2804, 19, 204, 2920, 618, 872, 5068, 15781, 2744, 630, 2941, 36, 204, 5434, 947, 5375, 5743, 39774, 630, 9114, 15047, 273, 15781, 458, 19, 9517, 14086, 1214, 15781, 458, 719, 18, 633, 18, 672, 19, 9517, 1606, 1769, 15858, 19, 9517, 15507, 770, 1908, 8506, 6488, 19, 9517, 6993, 16661, 292, 1017, 2171, 17474, 19, 9517, 1974, 273, 24491, 2036, 311, 25158, 24202, 19, 9517, 1974, 1051, 48619, 348, 830, 4816, 36595, 19, 204, 3728, 529, 275, 15298, 302, 6162, 16661, 36, 204, 673, 933, 302, 15298, 497, 15781, 908, 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, 6126, 6944, 497, 1236, 27420, 6126, 311, 5741, 19, 592, 1429, 2910, 17, 490, 618, 3253, 273, 717, 2407, 17, 4260, 6610, 521, 16619, 17, 1702, 448, 490, 23814, 17, 753, 88, 2734, 17, 521, 7498, 940, 7208, 430, 19, 10303, 34298, 17, 15781, 2744, 618, 722, 292, 11312, 5771, 13775, 521, 5741, 19, 204, 2920, 1910, 14263, 770, 16610, 3253, 36, 204, 837, 6903, 11166, 17, 275, 8105, 14747, 11059, 322, 15269, 47, 14, 6193, 437, 3062, 440, 275, 31171, 31, 14747, 908, 3217, 1947, 4986, 6043, 3253, 302, 5741, 292, 275, 548, 19, 56, 19, 334, 3062, 8421, 496, 448, 1910, 448, 10835, 17, 1207, 14263, 841, 1324, 292, 275, 5269, 5439, 1466, 8077, 560, 7155, 908, 19, 204, 3728, 1856, 872, 770, 292, 1322, 302, 15781, 908, 36, 204, 3719, 872, 1895, 273, 15781, 908, 17, 407, 311, 275, 25161, 302, 275, 6699, 7705, 302, 15781, 16895, 31, 275, 1629, 9680, 17, 17459, 17, 5143, 17, 690, 17, 5771, 329, 16022, 19, 828, 275, 5771, 14589, 872, 490, 353, 275, 9263, 15781, 521, 5519, 17, 3506, 329, 1356, 275, 1552, 19, 204, 3728, 529, 275, 1913, 720, 7155, 2744, 36, 204, 3728, 529, 275, 1901, 2323, 7155, 2744, 36, 48487, 42129, 19, 7252, 292, 13810, 353, 273, 2323, 7155, 908, 19, 9517, 32344, 336, 32471, 7593, 19, 332, 25127, 13810, 618, 444, 448, 47755, 448, 273, 6976, 42129, 19, 9517, 5375, 5743, 7252, 19, 9517, 592, 21069, 19, 9517, 18132, 7155, 7204, 19, 204, 15297, 16661, 529, 1182, 10597, 8033, 292, 15781, 2744, 36, 204, 6594, 321, 2553, 1399, 22315, 529, 275, 11458, 1901, 10597, 8033, 292, 15781, 2744, 292, 11980, 32, 4325, 579, 5417, 1592, 12426, 17, 506, 562, 14834, 17, 329, 1950, 18, 274, 17054, 281, 10167, 18, 33749, 11458, 529, 1901, 5508, 311, 1747, 348, 4362, 603, 947, 578, 1093, 4879, 16289, 2001, 19678, 13055, 5695, 275, 7028, 302, 8235, 23108, 2744, 19, 204, 3728, 353, 275, 1610, 3253, 302, 1901, 7155, 2744, 36, 204, 46882, 3490, 1466, 1193, 311, 444, 275, 1901, 2323, 1610, 3253, 302, 7155, 2744, 19, 32693, 21828, 657, 618, 1336, 1169, 834, 1483, 353, 18901, 1283, 5771, 329, 8234, 521, 1283, 275, 43534, 302, 9873, 496, 29970, 273, 7504, 18416, 1561, 19, 204, 3728, 11080, 1330, 872, 3074, 15781, 630, 275, 9263, 690, 36, 204, 990, 3719, 872, 3074, 1214, 15781, 630, 275, 9263, 690, 4412, 566, 5366, 17, 1622, 286, 1741, 508, 1225, 448, 2590, 9517, 521, 872, 2549, 4699, 1182, 1653, 6126, 329, 33883, 3582, 48106, 329, 7160, 874, 273, 758, 302, 7599, 35885, 292, 1017, 27350, 17, 20691, 17, 20213, 17, 329, 4207, 496, 16428, 16545, 440, 6138, 884, 88, 3528, 18, 7459, 3702, 18, 19037, 6596, 19, 204, 3728, 353, 275, 1901, 2323, 1187, 302, 5068, 578, 7155, 2744, 36, 204, 16489, 32259, 578, 14747, 39774, 11641, 5743, 2744, 19, 1144, 2443, 448, 275, 1901, 2323, 1187, 302, 7155, 908, 17, 23233, 13431, 15781, 529, 1425, 275, 1901, 5068, 578, 19, 9517, 592, 21069, 19, 1785, 7523, 24537, 311, 444, 3106, 329, 719, 6219, 12753, 28577, 329, 38012, 7935, 19, 9517, 41173, 8749, 19, 204, 11142, 770, 1901, 15781, 2744, 1336, 36, 204, 11641, 5743, 2744, 618, 1336, 630, 1910, 3214, 292, 5771, 4101, 17, 497, 275, 917, 302, 10772, 275, 15781, 311, 275, 690, 1330, 275, 5771, 353, 28377, 275, 9680, 19, 592, 4303, 17, 15781, 2744, 5971, 17, 1336, 630, 1051, 302, 1605, 1728, 31, 5868, 299, 20, 29111, 39428, 19, 204, 3728, 353, 1051, 302, 275, 667, 8095, 302, 15781, 2744, 36, 204, 673, 1901, 2323, 8095, 302, 15781, 2744, 529, 31, 41173, 8749, 1283, 1214, 16610, 19, 41173, 8749, 1283, 872, 329, 1214, 16610, 19, 26404, 1987, 496, 5316, 28546, 329, 16661, 496, 2909, 28546, 19, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4277, 19, 27624, 532, 14054, 204, 531, 9325, 532, 10275, 448, 45950, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 20387, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 20387, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 7502, 329, 2907, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 20387, 510, 204, 264, 424, 289, 45950, 19, 986, 1155, 13, 553, 68, 546, 14, 204, 264, 951, 68, 2393, 289, 424, 736, 1219, 839, 204, 264, 683, 68, 2393, 289, 424, 736, 804, 839, 204, 264, 407, 951, 68, 2393, 17, 683, 68, 2393, 204, 204, 461, 7324, 68, 481, 13, 1219, 68, 2393, 17, 683, 68, 2393, 14, 393, 927, 31, 204, 264, 320, 204, 264, 8254, 424, 348, 1737, 329, 2907, 19, 204, 204, 264, 457, 31, 204, 268, 951, 68, 2393, 31, 7502, 424, 19, 204, 268, 683, 68, 2393, 31, 12016, 424, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 35762, 1737, 329, 2907, 424, 19, 204, 264, 320, 204, 264, 314, 8254, 1737, 424, 204, 264, 610, 68, 1219, 68, 5022, 289, 645, 19, 3071, 68, 4173, 13, 204, 268, 951, 68, 2393, 64, 21, 17, 296, 41917, 8893, 781, 1664, 6358, 13, 12595, 540, 27592, 17, 368, 14, 716, 268, 348, 296, 292, 933, 13, 1003, 14, 716, 268, 348, 781, 292, 933, 13, 1719, 14, 204, 264, 1179, 204, 615, 264, 314, 8254, 2907, 424, 204, 264, 610, 68, 804, 68, 5022, 289, 645, 19, 3071, 68, 4173, 13, 204, 268, 683, 68, 2393, 64, 21, 17, 296, 41917, 8893, 781, 1664, 6358, 13, 12595, 540, 27592, 17, 368, 14, 716, 268, 348, 296, 292, 933, 13, 1003, 14, 716, 268, 348, 781, 292, 933, 13, 2300, 14, 204, 264, 1179, 204, 264, 407, 610, 68, 1219, 68, 5022, 17, 610, 68, 804, 68, 5022, 204, 204, 461, 3120, 68, 18366, 13, 93, 68, 1219, 68, 5022, 31, 645, 19, 766, 17, 300, 68, 7027, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 3291, 14054, 311, 5695, 23601, 19, 204, 204, 264, 457, 31, 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, 610, 68, 1219, 68, 5022, 322, 1123, 19, 766, 330, 7502, 424, 19, 204, 268, 300, 68, 7027, 322, 339, 330, 3239, 302, 4550, 311, 15753, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 45025, 424, 19, 204, 264, 320, 204, 264, 314, 3291, 14054, 311, 5695, 23601, 204, 264, 20297, 289, 14054, 13, 83, 68, 7027, 34, 83, 68, 7027, 14, 204, 264, 610, 68, 26159, 289, 20297, 19, 2714, 68, 4072, 13, 93, 68, 1219, 68, 5022, 19, 57, 14, 204, 264, 407, 610, 68, 26159, 204, 204, 461, 1807, 68, 481, 13, 93, 68, 26159, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 8016, 424, 19, 204, 204, 264, 457, 31, 204, 268, 610, 68, 26159, 322, 1123, 19, 766, 330, 45025, 424, 19, 204, 264, 320, 204, 264, 314, 968, 5427, 329, 14627, 348, 15905, 204, 264, 5427, 289, 2470, 7234, 31, 6267, 491, 379, 7234, 31, 21968, 491, 379, 7234, 31, 9378, 491, 379, 7234, 31, 747, 491, 379, 7234, 31, 37676, 491, 379, 7234, 31, 29249, 491, 379, 7234, 31, 44331, 491, 379, 7234, 31, 8472, 491, 204, 11826, 379, 7234, 31, 349, 545, 491, 379, 7234, 31, 40830, 839, 204, 264, 14627, 289, 2448, 84, 491, 379, 91, 491, 39367, 491, 13487, 491, 379, 12560, 379, 29, 491, 379, 88, 491, 379, 85, 491, 33497, 379, 77, 491, 379, 45, 491, 379, 41, 491, 379, 73, 534, 204, 615, 264, 314, 3045, 8016, 424, 204, 264, 348, 296, 292, 933, 13, 1003, 330, 204, 268, 1012, 289, 296, 540, 2753, 204, 268, 1136, 289, 322, 78, 465, 368, 14, 540, 2753, 204, 268, 610, 289, 610, 68, 26159, 64, 1530, 31, 409, 17, 500, 66, 204, 268, 469, 289, 610, 68, 26159, 64, 1530, 31, 409, 17, 368, 66, 204, 268, 1513, 19, 10129, 13, 93, 17, 469, 17, 8973, 34, 26983, 64, 78, 648, 1848, 34, 8024, 64, 78, 694, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 204, 264, 951, 68, 2393, 17, 683, 68, 2393, 289, 1137, 68, 481, 611, 8614, 62, 1887, 39, 1003, 19, 1155, 534, 204, 615, 264, 314, 8254, 424, 204, 264, 610, 68, 1219, 68, 5022, 17, 610, 68, 804, 68, 5022, 289, 7324, 68, 481, 13, 1219, 68, 2393, 17, 683, 68, 2393, 14, 204, 615, 264, 314, 3291, 14054, 204, 264, 610, 68, 26159, 289, 3120, 68, 18366, 13, 93, 68, 1219, 68, 5022, 17, 435, 14, 204, 615, 264, 314, 3045, 8016, 424, 204, 264, 1807, 68, 481, 13, 93, 68, 26159, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 8632, 532, 8204, 204, 531, 1498, 532, 783, 204, 204, 37, 6611, 204, 676, 38258, 31, 204, 264, 320, 5272, 273, 10883, 292, 275, 20059, 1561, 1279, 204, 264, 1276, 31, 421, 204, 264, 588, 31, 394, 204, 264, 4145, 68, 12746, 31, 818, 204, 264, 790, 68, 12746, 31, 818, 204, 264, 34168, 31, 783, 64, 996, 66, 204, 204, 676, 48682, 8177, 31, 204, 264, 320, 204, 264, 16318, 275, 20059, 1561, 17, 2864, 4141, 25466, 329, 21019, 34168, 19, 204, 204, 264, 1532, 31, 204, 268, 25466, 322, 1218, 64, 35485, 1037, 332, 458, 302, 830, 25466, 292, 275, 1561, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 17666, 275, 20059, 1561, 440, 437, 1392, 458, 302, 25466, 1279, 204, 268, 370, 19, 28986, 289, 1306, 204, 204, 264, 436, 838, 68, 20774, 13, 327, 17, 588, 31, 394, 17, 4145, 68, 12746, 31, 818, 14, 393, 38258, 31, 204, 268, 320, 204, 268, 2605, 273, 717, 10883, 292, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 10883, 19, 204, 305, 4145, 68, 12746, 322, 996, 330, 334, 4145, 11946, 348, 275, 10883, 19, 204, 204, 268, 475, 31, 204, 305, 38258, 31, 334, 9932, 1966, 10883, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 10883, 440, 273, 2220, 1276, 204, 268, 10883, 68, 359, 289, 1245, 13, 327, 19, 28986, 14, 465, 368, 204, 268, 10883, 289, 38258, 13, 20774, 68, 359, 17, 588, 17, 4145, 68, 12746, 17, 4145, 68, 12746, 17, 10336, 204, 268, 370, 19, 28986, 19, 1223, 13, 20774, 14, 204, 268, 407, 10883, 204, 204, 264, 436, 2481, 68, 12746, 13, 327, 17, 10883, 68, 359, 31, 421, 17, 11946, 31, 818, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 34813, 273, 11946, 523, 273, 10883, 292, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 10883, 68, 359, 322, 339, 330, 334, 1276, 302, 275, 10883, 311, 11946, 523, 19, 204, 305, 11946, 322, 996, 330, 334, 1690, 302, 275, 11946, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 11946, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 10883, 440, 275, 800, 1276, 204, 268, 348, 10883, 292, 370, 19, 28986, 31, 204, 305, 397, 10883, 19, 359, 564, 10883, 68, 359, 31, 204, 485, 314, 778, 397, 275, 11946, 353, 5092, 1194, 275, 790, 11946, 204, 485, 397, 11946, 1323, 10883, 19, 1976, 68, 12746, 31, 204, 895, 10883, 19, 1976, 68, 12746, 289, 11946, 204, 895, 10883, 19, 32668, 19, 1223, 13, 12746, 14, 204, 895, 407, 959, 204, 485, 902, 31, 204, 895, 407, 1078, 204, 268, 407, 1078, 204, 204, 264, 436, 636, 68, 20774, 13, 327, 17, 10883, 68, 359, 31, 421, 14, 393, 38258, 31, 204, 268, 320, 204, 268, 4071, 273, 10883, 497, 275, 20059, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 10883, 68, 359, 322, 339, 330, 334, 1276, 302, 275, 10883, 311, 3686, 19, 204, 204, 268, 475, 31, 204, 305, 38258, 31, 334, 10883, 440, 275, 800, 1276, 17, 521, 443, 397, 508, 1193, 19, 204, 268, 320, 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, 314, 1752, 275, 10883, 440, 275, 800, 1276, 204, 268, 348, 10883, 292, 370, 19, 28986, 31, 204, 305, 397, 10883, 19, 359, 564, 10883, 68, 359, 31, 204, 485, 407, 10883, 204, 268, 407, 443, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 20059, 68, 4038, 289, 48682, 8177, 374, 204, 264, 10883, 289, 20059, 68, 4038, 19, 1510, 68, 20774, 499, 5063, 38258, 528, 931, 19, 21, 14, 204, 264, 456, 13, 75, 7, 35485, 1966, 31, 463, 20774, 19, 417, 98, 440, 4145, 11946, 463, 20774, 19, 17958, 68, 12746, 743, 204, 264, 20059, 68, 4038, 19, 1721, 68, 12746, 13, 20774, 19, 359, 17, 2153, 19, 21, 14, 204, 264, 456, 13, 75, 7, 11322, 11946, 31, 463, 20774, 19, 1976, 68, 12746, 743, 204, 264, 8781, 68, 20774, 289, 20059, 68, 4038, 19, 505, 68, 20774, 13, 20774, 19, 359, 14, 204, 264, 456, 13, 75, 7, 40107, 10883, 31, 463, 22679, 68, 20774, 19, 417, 98, 440, 790, 11946, 463, 22679, 68, 20774, 19, 1976, 68, 12746, 743, 204, 0, 461, 949, 68, 17073, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 41450, 9533, 49015, 322, 31503, 14, 302, 970, 886, 974, 275, 10781, 3372, 19, 204, 204, 264, 457, 31, 204, 268, 273, 322, 339, 330, 334, 1043, 542, 19, 204, 268, 308, 322, 339, 330, 334, 1350, 542, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 16096, 302, 275, 970, 886, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 397, 308, 353, 500, 17, 275, 16096, 353, 273, 204, 264, 397, 308, 564, 500, 31, 204, 268, 407, 273, 204, 264, 314, 18302, 1322, 31, 949, 275, 16096, 302, 308, 329, 275, 6576, 302, 273, 6167, 560, 308, 204, 264, 902, 31, 204, 268, 407, 949, 68, 17073, 13, 71, 17, 273, 1564, 308, 14, 204, 204, 204, 461, 1020, 68, 17073, 68, 522, 68, 655, 13, 1630, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 16096, 302, 273, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 268, 886, 322, 655, 64, 339, 1037, 334, 458, 302, 886, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 16096, 302, 275, 458, 302, 886, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 458, 353, 1392, 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, 977, 275, 722, 440, 275, 1043, 542, 292, 275, 458, 204, 264, 722, 289, 886, 64, 21, 66, 204, 264, 314, 1861, 1048, 275, 3022, 302, 275, 886, 292, 275, 458, 204, 264, 348, 771, 292, 886, 64, 22, 15136, 204, 268, 314, 10248, 2962, 311, 4516, 4854, 560, 2962, 908, 204, 268, 397, 771, 2167, 500, 31, 204, 305, 314, 1716, 275, 722, 440, 275, 16096, 302, 275, 790, 722, 329, 275, 790, 542, 204, 305, 722, 289, 949, 68, 17073, 13, 1300, 17, 771, 14, 204, 264, 407, 722, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 763, 273, 458, 302, 886, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 458, 302, 886, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 2950, 444, 6004, 311, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 763, 537, 497, 575, 204, 264, 537, 68, 325, 289, 537, 499, 2101, 273, 458, 302, 886, 5289, 560, 17917, 31, 2810, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 537, 782, 311, 273, 458, 302, 1892, 204, 268, 407, 458, 13, 1608, 13, 339, 17, 537, 68, 325, 19, 1590, 48055, 204, 264, 827, 987, 448, 318, 31, 204, 268, 980, 987, 499, 1962, 537, 431, 497, 318, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 1058, 741, 8290, 273, 458, 302, 886, 497, 275, 575, 17, 9111, 275, 16096, 302, 275, 458, 17, 204, 264, 329, 5538, 3855, 275, 16096, 353, 368, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 458, 302, 886, 497, 275, 575, 204, 268, 886, 289, 636, 68, 816, 68, 768, 374, 204, 268, 314, 888, 275, 16096, 302, 275, 458, 204, 268, 16196, 289, 1020, 68, 17073, 68, 522, 68, 655, 13, 1630, 14, 204, 268, 314, 1198, 3855, 275, 16096, 353, 368, 204, 268, 456, 13, 17073, 564, 368, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 314, 1198, 275, 908, 943, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 531, 636, 68, 40404, 2225, 68, 3337, 532, 322, 204, 264, 636, 68, 43180, 18504, 17, 204, 264, 636, 68, 14780, 36819, 17, 204, 264, 636, 68, 761, 865, 17, 204, 264, 2490, 590, 70, 68, 3968, 17, 204, 264, 636, 68, 35362, 17, 204, 264, 636, 68, 19862, 4280, 17, 204, 264, 26700, 880, 17, 204, 264, 636, 68, 2387, 68, 6124, 204, 14, 204, 204, 461, 3752, 68, 6270, 68, 481, 13, 805, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 11244, 3200, 424, 497, 273, 800, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 302, 275, 3200, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 275, 15801, 3200, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6579, 3200, 424, 497, 275, 800, 1274, 204, 268, 407, 463, 204, 305, 388, 3044, 84, 322, 87, 38142, 42408, 636, 68, 761, 865, 13, 805, 659, 204, 305, 388, 57, 11863, 89, 18504, 559, 636, 68, 43180, 18504, 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, 805, 659, 204, 305, 388, 6185, 2520, 85, 31041, 559, 636, 68, 14780, 36819, 13, 805, 659, 204, 305, 388, 837, 1071, 36819, 301, 559, 636, 68, 35362, 13, 805, 659, 204, 305, 388, 59, 337, 402, 559, 636, 68, 19862, 4280, 13, 805, 659, 204, 305, 388, 23728, 4303, 559, 26700, 880, 19, 17246, 68, 6124, 13, 805, 659, 204, 305, 388, 23728, 21246, 2432, 2024, 1253, 559, 26700, 880, 19, 8074, 68, 742, 35944, 13, 805, 659, 204, 305, 388, 23728, 6924, 845, 278, 14836, 559, 636, 68, 2387, 68, 6124, 13, 805, 14, 204, 268, 1211, 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, 3200, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 6270, 68, 9045, 13, 3968, 31, 458, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 2605, 273, 3135, 497, 273, 458, 302, 3200, 5448, 19, 204, 204, 264, 457, 31, 204, 268, 14360, 322, 655, 330, 332, 458, 302, 3200, 5448, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 1174, 275, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 3200, 424, 204, 264, 3200, 68, 481, 289, 1306, 204, 615, 264, 314, 1861, 1048, 848, 1274, 329, 3752, 3200, 424, 204, 264, 348, 1779, 292, 14360, 31, 204, 268, 456, 13, 75, 7, 31049, 299, 3200, 424, 497, 463, 805, 743, 204, 268, 424, 289, 3752, 68, 6270, 68, 481, 13, 805, 14, 204, 268, 397, 424, 31, 204, 305, 314, 5230, 15801, 424, 311, 275, 3200, 424, 458, 204, 305, 3200, 68, 481, 19, 1223, 13, 481, 14, 204, 615, 264, 314, 666, 273, 3135, 497, 275, 3200, 424, 458, 204, 264, 407, 1246, 19, 1362, 13, 6270, 68, 481, 14, 204, 204, 461, 2106, 68, 9045, 68, 633, 68, 2039, 13, 1695, 31, 1246, 19, 1362, 17, 2049, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 273, 3135, 311, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 3135, 311, 2106, 19, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 2106, 275, 3135, 311, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 268, 2349, 19, 633, 68, 2039, 13, 2029, 17, 1112, 34, 1975, 17, 3494, 34, 1021, 14, 204, 268, 456, 13, 75, 7, 1362, 6467, 311, 463, 2029, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2306, 7770, 204, 268, 456, 13, 75, 7, 596, 7770, 3135, 311, 2306, 31, 463, 74, 743, 204, 204, 461, 1137, 68, 9045, 68, 531, 68, 2039, 13, 2029, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 5984, 273, 3135, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 2049, 311, 1137, 275, 3135, 497, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 3135, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 3135, 497, 273, 2306, 510, 204, 268, 407, 1246, 19, 976, 68, 2039, 13, 2029, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 2306, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 3135, 497, 2306, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 6579, 3200, 5448, 204, 264, 14360, 289, 2490, 590, 70, 68, 3968, 374, 204, 615, 264, 314, 666, 273, 3135, 497, 275, 3200, 5448, 204, 264, 2349, 289, 838, 68, 6270, 68, 9045, 13, 3968, 14, 204, 264, 456, 499, 22509, 3135, 431, 204, 264, 456, 13, 1695, 14, 204, 615, 264, 314, 3025, 275, 3135, 311, 273, 2306, 510, 204, 264, 2049, 289, 379, 2039, 68, 481, 20, 1521, 278, 14836, 68, 1244, 19, 2039, 12, 204, 264, 2106, 68, 9045, 68, 633, 68, 2039, 13, 1695, 17, 2049, 14, 204, 264, 456, 499, 27743, 311, 2306, 431, 204, 615, 264, 314, 1385, 275, 3135, 497, 275, 2306, 510, 204, 264, 3271, 68, 1695, 289, 1137, 68, 9045, 68, 531, 68, 2039, 13, 2029, 14, 204, 264, 456, 499, 25501, 497, 2306, 431, 204, 264, 456, 13, 5391, 68, 1695, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 531, 1094, 19, 56, 5317, 19, 56, 5317, 5480, 532, 951, 68, 804, 17, 36917, 5480, 204, 531, 1094, 19, 56, 5317, 19, 9415, 56, 5317, 5480, 532, 12628, 56, 5317, 5480, 204, 531, 1094, 19, 56, 5317, 19, 56, 5317, 5480, 837, 532, 36917, 5480, 837, 204, 204, 461, 1137, 68, 481, 13, 204, 264, 510, 68, 546, 31, 394, 17, 716, 264, 860, 68, 644, 68, 998, 31, 421, 17, 716, 264, 2364, 17, 716, 264, 951, 68, 835, 31, 421, 17, 716, 264, 6175, 31, 421, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 3100, 68, 1949, 31, 818, 17, 716, 264, 732, 68, 23531, 31, 1109, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 329, 951, 275, 570, 19, 204, 204, 264, 457, 31, 204, 264, 338, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 424, 510, 19, 204, 264, 338, 860, 68, 644, 68, 998, 322, 339, 330, 3685, 18, 644, 1112, 19, 204, 264, 338, 2364, 31, 15301, 2364, 570, 19, 204, 264, 338, 951, 68, 835, 322, 339, 330, 7502, 1302, 19, 204, 264, 338, 6175, 322, 339, 330, 3239, 302, 6175, 19, 204, 264, 338, 2068, 68, 835, 322, 339, 330, 11579, 1302, 19, 204, 264, 338, 3100, 68, 1949, 322, 996, 330, 10750, 2233, 19, 204, 264, 338, 732, 68, 23531, 322, 2107, 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, 330, 2266, 311, 732, 15875, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 338, 610, 322, 5770, 1348, 330, 7502, 424, 19, 204, 264, 338, 469, 322, 5770, 1348, 330, 23585, 19, 204, 264, 320, 204, 264, 314, 2672, 275, 570, 329, 1137, 424, 204, 264, 407, 951, 68, 804, 13, 204, 268, 510, 68, 546, 17, 716, 268, 860, 68, 644, 68, 998, 34, 1509, 68, 644, 68, 998, 17, 716, 268, 2364, 34, 4165, 17, 716, 268, 951, 68, 835, 34, 1219, 68, 835, 17, 716, 268, 6175, 34, 7064, 17, 204, 268, 2068, 68, 835, 34, 2884, 68, 835, 17, 716, 268, 10264, 34, 6859, 68, 1949, 17, 716, 268, 732, 68, 23531, 34, 598, 68, 23531, 17, 716, 268, 5087, 68, 835, 34, 1003, 204, 264, 1179, 204, 204, 461, 1807, 68, 29291, 68, 1309, 13, 204, 264, 14104, 68, 1309, 31, 458, 17, 716, 264, 6175, 31, 458, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 14104, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 338, 14104, 68, 1309, 322, 655, 330, 783, 302, 14104, 1019, 19, 204, 264, 338, 6175, 322, 655, 330, 783, 302, 6175, 19, 204, 264, 320, 204, 264, 314, 763, 610, 1019, 348, 15905, 204, 264, 610, 68, 1309, 289, 933, 13, 1796, 13, 29291, 68, 1309, 64, 21, 1799, 21, 4513, 204, 615, 264, 314, 977, 3330, 311, 1640, 1563, 204, 264, 1869, 68, 5306, 301, 289, 1306, 204, 264, 4714, 68, 5707, 289, 1306, 204, 264, 1869, 68, 1309, 289, 1306, 204, 615, 264, 314, 888, 1869, 329, 2599, 5432, 302, 30335, 348, 848, 3741, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 7064, 4019, 204, 268, 314, 3398, 1950, 18, 5306, 1019, 204, 268, 2962, 68, 3115, 289, 645, 19, 765, 68, 25929, 13, 29291, 68, 1309, 64, 7064, 64, 78, 4395, 3138, 34, 22, 14, 204, 822, 268, 314, 888, 1869, 329, 2599, 5432, 204, 268, 4714, 68, 5707, 19, 1223, 13, 1123, 19, 3960, 13, 5306, 68, 3115, 602, 204, 268, 1869, 68, 5306, 301, 19, 1223, 13, 1123, 19, 3037, 13, 5306, 68, 3115, 602, 204, 268, 1869, 68, 1309, 19, 1223, 13, 1123, 19, 3037, 13, 29291, 68, 1309, 64, 7064, 64, 78, 4395, 3138, 34, 21, 602, 204, 204, 264, 314, 3045, 14104, 1019, 204, 264, 1513, 19, 1778, 611, 5987, 8214, 1019, 534, 204, 264, 1513, 19, 2700, 13, 1021, 14, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 3037, 68, 1309, 4019, 204, 268, 1513, 19, 1657, 13, 93, 68, 1309, 17, 1869, 68, 1309, 64, 78, 648, 1800, 833, 15934, 21294, 2478, 13, 7064, 64, 78, 4513, 204, 264, 1513, 19, 9042, 374, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 3454, 204, 264, 37573, 289, 5014, 8961, 20, 2027, 84, 20, 989, 20, 38893, 20, 1947, 11573, 12, 204, 264, 28267, 289, 3318, 5865, 481, 20, 3845, 38746, 68, 21, 19, 77, 26, 2625, 2478, 13, 4082, 14, 204, 264, 39287, 68, 47129, 289, 959, 204, 264, 387, 9202, 3007, 68, 18512, 289, 887, 204, 264, 361, 6217, 56, 289, 368, 204, 264, 29147, 68, 2956, 289, 3861, 204, 264, 45722, 289, 38244, 204, 264, 20476, 68, 2956, 289, 3861, 204, 264, 36223, 68, 9572, 289, 500, 19, 37425, 204, 264, 26472, 68, 4617, 68, 15841, 289, 500, 204, 204, 264, 314, 5988, 275, 542, 302, 4364, 311, 732, 10625, 523, 44647, 204, 264, 300, 68, 3191, 289, 1233, 397, 39287, 68, 47129, 902, 7328, 204, 204, 264, 314, 11420, 928, 2364, 311, 732, 204, 264, 2364, 289, 36917, 5480, 837, 13, 17911, 68, 4346, 34, 5917, 11371, 68, 18512, 17, 537, 68, 1827, 34, 16712, 17, 685, 68, 1827, 34, 83, 68, 3191, 14, 204, 204, 264, 314, 1385, 424, 329, 951, 275, 570, 204, 264, 610, 17, 469, 289, 1137, 68, 481, 13, 204, 268, 28267, 17, 716, 268, 26472, 68, 4617, 68, 15841, 17, 716, 268, 2364, 17, 716, 268, 29147, 68, 2956, 17, 716, 268, 45722, 17, 716, 268, 20476, 68, 2956, 17, 716, 268, 36223, 68, 9572, 17, 716, 268, 39287, 68, 47129, 204, 264, 1179, 204, 615, 264, 314, 763, 14104, 1019, 497, 275, 2364, 204, 264, 14104, 68, 1309, 289, 2364, 19, 29291, 68, 1309, 204, 204, 264, 314, 3045, 14104, 1019, 204, 264, 6175, 68, 655, 289, 933, 13, 21, 17, 45722, 16, 22, 17, 1607, 14, 204, 264, 1807, 68, 29291, 68, 1309, 13, 29291, 68, 1309, 17, 6175, 68, 655, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 17, 1535, 204, 647, 12348, 204, 647, 1361, 204, 531, 8632, 532, 8204, 204, 531, 2573, 532, 5782, 204, 204, 8, 968, 273, 2363, 2710, 348, 9499, 9649, 204, 676, 36502, 9650, 596, 13, 2940, 330, 204, 264, 320, 19096, 1330, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 315, 204, 264, 1879, 204, 204, 8, 968, 437, 2573, 348, 275, 3416, 292, 332, 3108, 39837, 204, 676, 332, 3108, 39837, 3029, 13, 5346, 330, 204, 264, 320, 5346, 348, 275, 3416, 292, 332, 3108, 39837, 315, 204, 264, 29774, 289, 379, 2040, 68, 1270, 12, 204, 264, 24623, 14211, 56, 289, 379, 2040, 68, 2226, 12, 204, 264, 27888, 38, 289, 379, 2040, 68, 6656, 12, 204, 264, 23765, 11410, 289, 379, 2040, 68, 1386, 12, 204, 264, 13158, 289, 379, 2040, 68, 935, 12, 204, 264, 13158, 68, 2504, 3285, 39, 2438, 3884, 289, 379, 2040, 68, 935, 68, 18978, 12, 204, 264, 25384, 23344, 289, 379, 2040, 68, 23413, 12, 204, 264, 332, 16593, 289, 379, 15889, 68, 816, 68, 2040, 12, 204, 204, 8, 968, 273, 8204, 348, 9067, 5655, 204, 37, 6611, 204, 676, 9067, 5655, 31, 204, 264, 320, 30663, 348, 1574, 1483, 315, 204, 264, 1574, 68, 359, 31, 421, 289, 443, 204, 264, 575, 68, 359, 31, 421, 289, 443, 204, 264, 7581, 31, 818, 289, 443, 204, 264, 7754, 31, 818, 289, 443, 204, 264, 3441, 31, 421, 289, 443, 204, 264, 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, 690, 68, 633, 68, 15622, 31, 421, 289, 443, 204, 264, 4521, 31, 421, 289, 443, 204, 264, 353, 68, 10719, 31, 1109, 289, 959, 204, 264, 15807, 68, 765, 31, 421, 289, 500, 204, 264, 5020, 68, 765, 31, 421, 289, 500, 204, 204, 264, 436, 311, 68, 873, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 13671, 9067, 5655, 311, 273, 955, 315, 204, 268, 407, 463, 204, 305, 379, 2040, 68, 359, 597, 370, 19, 2040, 68, 359, 17, 204, 305, 379, 816, 68, 359, 597, 370, 19, 816, 68, 359, 17, 204, 305, 379, 10204, 597, 370, 19, 10204, 17, 204, 305, 379, 11117, 597, 370, 19, 11117, 17, 204, 305, 379, 6575, 597, 370, 19, 6575, 17, 204, 305, 379, 834, 68, 633, 68, 15622, 597, 370, 19, 834, 68, 633, 68, 15622, 17, 204, 305, 379, 5192, 597, 370, 19, 5192, 17, 204, 305, 379, 360, 68, 10719, 597, 421, 13, 327, 19, 360, 68, 10719, 659, 204, 305, 379, 17981, 68, 765, 597, 370, 19, 17981, 68, 765, 17, 204, 305, 379, 4280, 68, 765, 597, 370, 19, 4280, 68, 765, 204, 268, 1211, 204, 204, 264, 1642, 6649, 204, 264, 436, 497, 68, 873, 13, 4621, 17, 424, 31, 1135, 14, 393, 379, 9650, 5655, 597, 204, 268, 320, 5964, 273, 9067, 5655, 726, 497, 273, 955, 315, 204, 268, 407, 4963, 13, 204, 305, 1574, 68, 359, 34, 481, 19, 505, 611, 2040, 68, 359, 2008, 204, 305, 575, 68, 359, 34, 481, 19, 505, 611, 816, 68, 359, 2008, 204, 305, 7581, 34, 481, 19, 505, 611, 10204, 2008, 204, 305, 7754, 34, 481, 19, 505, 611, 11117, 2008, 204, 305, 3441, 34, 481, 19, 505, 611, 6575, 2008, 204, 305, 690, 68, 633, 68, 15622, 34, 481, 19, 505, 611, 834, 68, 633, 68, 15622, 2008, 204, 305, 4521, 34, 339, 13, 481, 19, 505, 611, 5192, 491, 500, 3917, 204, 305, 353, 68, 10719, 34, 2107, 13, 481, 19, 505, 611, 360, 68, 10719, 491, 959, 3917, 204, 305, 15807, 68, 765, 34, 481, 19, 505, 611, 17981, 68, 765, 491, 500, 659, 204, 305, 5020, 68, 765, 34, 481, 19, 505, 611, 4280, 68, 765, 491, 500, 14, 204, 268, 1179, 204, 204, 676, 38028, 12439, 31, 204, 264, 320, 3317, 348, 11696, 9649, 292, 275, 1104, 315, 204, 264, 436, 589, 924, 889, 327, 17, 30383, 39837, 68, 8430, 17, 297, 24, 8430, 17, 1813, 68, 998, 17, 8528, 31, 394, 289, 379, 47305, 4448, 204, 268, 320, 204, 268, 977, 275, 38028, 12439, 19, 204, 204, 268, 457, 31, 204, 268, 338, 30383, 39837, 68, 8430, 31, 334, 332, 3108, 39837, 15894, 19, 204, 268, 338, 297, 24, 8430, 31, 334, 387, 24, 15894, 19, 204, 268, 338, 1813, 68, 998, 31, 334, 1813, 1112, 19, 204, 268, 338, 8528, 31, 334, 8528, 348, 275, 9649, 322, 2305, 31, 379, 47305, 3930, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 289, 30383, 39837, 68, 8430, 204, 268, 370, 806, 88, 24, 8430, 289, 297, 24, 8430, 204, 268, 370, 806, 1803, 68, 998, 289, 1813, 68, 998, 204, 268, 370, 806, 11730, 289, 8528, 204, 268, 370, 806, 3604, 289, 332, 3108, 39837, 3029, 204, 204, 264, 436, 4481, 68, 2040, 13, 327, 17, 3986, 31, 9067, 5655, 17, 2048, 31, 783, 64, 339, 648, 5713, 68, 13412, 31, 1535, 64, 3881, 648, 726, 68, 13412, 31, 1535, 64, 3881, 648, 752, 68, 13412, 31, 1535, 64, 3881, 648, 20479, 68, 13412, 31, 1535, 64, 3881, 694, 393, 421, 31, 204, 268, 320, 204, 268, 15631, 273, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 338, 2048, 31, 334, 2048, 302, 275, 1574, 19, 204, 268, 338, 5713, 68, 13412, 31, 334, 5713, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 752, 68, 13412, 31, 334, 752, 424, 302, 275, 1574, 322, 9899, 789, 204, 268, 338, 20479, 68, 13412, 31, 334, 20479, 424, 302, 275, 1574, 322, 9899, 789, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1276, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 314, 2069, 1574, 1276, 204, 268, 3986, 19, 2040, 68, 359, 289, 370, 806, 2721, 68, 2040, 68, 359, 13, 1270, 17, 726, 68, 13412, 14, 204, 268, 314, 778, 348, 9991, 204, 268, 370, 806, 2555, 68, 17433, 13, 1270, 19, 2040, 68, 359, 14, 204, 268, 314, 15631, 424, 329, 1675, 3986, 204, 268, 370, 806, 1803, 68, 998, 19, 826, 68, 2040, 13, 1270, 17, 2048, 14, 204, 268, 397, 5713, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 6656, 13, 1270, 19, 2040, 68, 359, 17, 5713, 68, 13412, 14, 204, 268, 397, 726, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 1386, 13, 1270, 19, 2040, 68, 359, 17, 726, 68, 13412, 14, 204, 268, 397, 752, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 935, 13, 1270, 19, 2040, 68, 359, 17, 752, 68, 13412, 14, 204, 268, 397, 20479, 68, 13412, 353, 508, 443, 31, 204, 305, 370, 806, 399, 68, 23413, 13, 1270, 19, 2040, 68, 359, 17, 20479, 68, 13412, 14, 204, 268, 370, 806, 399, 68, 1270, 13, 1270, 19, 2040, 68, 359, 17, 3986, 14, 204, 268, 407, 3986, 19, 2040, 68, 359, 204, 204, 264, 436, 3142, 68, 2040, 13, 327, 17, 1574, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3182, 273, 1574, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 311, 3142, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 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, 327, 806, 11730, 17, 370, 806, 3604, 19, 9202, 23344, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 8440, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 30907, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 31968, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 3956, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 25783, 19, 876, 17, 394, 13, 2040, 68, 359, 3694, 204, 268, 370, 806, 1803, 68, 998, 19, 3956, 68, 2040, 13, 2040, 68, 359, 14, 204, 204, 264, 436, 906, 2721, 68, 2040, 68, 359, 13, 327, 17, 3986, 31, 9067, 5655, 17, 726, 68, 13412, 31, 1535, 64, 3881, 694, 393, 421, 31, 204, 268, 320, 204, 268, 2069, 273, 2220, 1574, 1276, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 322, 9899, 789, 204, 204, 268, 475, 31, 204, 268, 338, 334, 4489, 1574, 1276, 19, 204, 268, 320, 204, 268, 869, 517, 289, 12348, 19, 7648, 26, 374, 204, 268, 436, 906, 2045, 13, 876, 330, 204, 305, 397, 700, 31, 204, 485, 869, 517, 19, 2045, 13, 325, 13, 876, 789, 4170, 1447, 204, 268, 906, 2045, 13, 1270, 19, 816, 68, 359, 14, 204, 268, 906, 2045, 13, 1270, 19, 10204, 14, 204, 268, 906, 2045, 13, 1270, 19, 11117, 14, 204, 268, 906, 2045, 13, 1386, 68, 13412, 14, 204, 268, 407, 421, 13, 4753, 517, 19, 18927, 40172, 1845, 648, 2247, 14, 2343, 500, 93, 28, 26028, 26028, 26028, 5065, 43, 204, 204, 264, 436, 906, 2555, 68, 17433, 13, 327, 17, 1574, 68, 359, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 778, 397, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 311, 1356, 19, 204, 204, 268, 1632, 31, 204, 268, 338, 36502, 9650, 596, 31, 828, 273, 1574, 440, 275, 800, 1276, 2861, 2560, 19, 204, 268, 320, 204, 268, 3986, 68, 644, 289, 322, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 602, 204, 268, 397, 370, 806, 70, 3108, 39837, 68, 8430, 19, 2555, 68, 4332, 13, 1270, 68, 644, 330, 204, 305, 980, 36502, 9650, 596, 611, 9650, 2861, 2560, 534, 204, 204, 264, 436, 906, 399, 68, 1270, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 3986, 31, 9067, 5655, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 1574, 1483, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 3986, 31, 334, 1574, 1483, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 5142, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 3986, 19, 633, 68, 873, 1447, 204, 204, 264, 436, 906, 399, 68, 6656, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 5713, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 5713, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 5713, 68, 13412, 31, 334, 5713, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 31968, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 5713, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 1386, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 726, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 726, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 726, 68, 13412, 31, 334, 726, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 30907, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 726, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 935, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 752, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 752, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 752, 68, 13412, 31, 334, 752, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 8440, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 752, 68, 13412, 14, 204, 204, 264, 436, 906, 399, 68, 23413, 13, 327, 17, 1574, 68, 359, 31, 421, 17, 20479, 68, 13412, 31, 3154, 14, 393, 443, 31, 204, 268, 320, 204, 268, 15631, 275, 20479, 424, 302, 275, 1574, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1574, 68, 359, 31, 334, 1276, 302, 275, 1574, 19, 204, 268, 338, 20479, 68, 13412, 31, 334, 20479, 424, 302, 275, 1574, 19, 204, 268, 320, 204, 268, 370, 806, 70, 3108, 39837, 68, 8430, 19, 399, 1802, 327, 806, 11730, 17, 370, 806, 3604, 19, 9202, 23344, 19, 876, 17, 394, 13, 2040, 68, 359, 3917, 20479, 68, 13412, 14, 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, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 977, 275, 30383, 39837, 15894, 17, 297, 24, 15894, 17, 329, 1813, 1112, 204, 264, 30383, 39837, 68, 8430, 289, 443, 226, 314, 4546, 440, 1214, 30383, 39837, 15894, 204, 264, 297, 24, 8430, 289, 443, 226, 314, 4546, 440, 1214, 297, 24, 15894, 204, 264, 1813, 68, 998, 289, 443, 226, 314, 4546, 440, 1214, 1813, 1112, 204, 204, 264, 314, 666, 273, 38028, 12439, 1014, 204, 264, 9649, 68, 2693, 289, 38028, 12439, 13, 70, 3108, 39837, 68, 8430, 17, 297, 24, 8430, 17, 1813, 68, 998, 14, 204, 204, 264, 314, 666, 273, 9067, 5655, 1014, 204, 264, 1574, 68, 1270, 289, 9067, 5655, 13, 204, 268, 575, 68, 359, 34, 22, 17, 204, 268, 7581, 34, 4462, 19, 45298, 17, 204, 268, 7754, 8981, 19113, 19, 45194, 17, 204, 268, 3441, 34, 2051, 17, 204, 268, 690, 68, 633, 68, 15622, 34, 32972, 17, 204, 268, 4521, 34, 27348, 44127, 17, 204, 268, 353, 68, 10719, 34, 1975, 17, 204, 268, 15807, 68, 765, 34, 1003, 17, 204, 268, 5020, 68, 765, 34, 2051, 204, 264, 1179, 204, 204, 264, 314, 15631, 275, 1574, 1025, 275, 1104, 204, 264, 1574, 68, 359, 289, 9649, 68, 2693, 19, 399, 68, 2040, 13, 2040, 68, 1270, 17, 551, 22, 17, 435, 17, 571, 648, 308, 12119, 2633, 68, 481, 491, 308, 12, 1386, 68, 481, 491, 308, 12, 935, 68, 481, 491, 308, 12, 23413, 68, 481, 534, 204, 264, 456, 13, 75, 12, 9650, 1276, 31, 463, 2040, 68, 359, 3501, 204, 204, 264, 314, 3182, 275, 1574, 497, 275, 1104, 204, 264, 9649, 68, 2693, 19, 3956, 68, 2040, 13, 2040, 68, 359, 14, 204, 0, 461, 636, 68, 8765, 68, 6391, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 273, 2875, 1943, 537, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 2875, 1943, 537, 560, 275, 575, 19, 204, 264, 320, 204, 264, 314, 11333, 311, 3176, 275, 575, 3119, 273, 2875, 1943, 353, 6027, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 268, 397, 1245, 13, 816, 68, 768, 14, 564, 368, 31, 204, 305, 407, 575, 68, 768, 204, 268, 456, 499, 5213, 2064, 273, 2875, 1943, 1280, 204, 204, 461, 1356, 68, 6391, 68, 2059, 13, 768, 68, 2441, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 778, 3855, 273, 1943, 353, 12617, 521, 9236, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 2441, 322, 325, 330, 334, 1943, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 379, 28453, 2059, 12, 397, 275, 1943, 353, 12617, 17, 379, 29153, 2059, 12, 2130, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 353, 5231, 374, 1216, 311, 1356, 397, 275, 1943, 353, 12617, 204, 264, 397, 537, 68, 2441, 19, 31651, 1293, 204, 268, 407, 379, 28453, 2059, 12, 204, 264, 1677, 537, 68, 2441, 19, 35799, 1293, 204, 268, 407, 379, 29153, 2059, 12, 204, 264, 902, 31, 204, 268, 407, 379, 2204, 273, 4669, 12, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 273, 2875, 1943, 537, 497, 275, 575, 204, 264, 537, 68, 2441, 289, 636, 68, 8765, 68, 6391, 68, 768, 499, 2101, 273, 1943, 31, 2810, 204, 615, 264, 314, 778, 275, 1322, 302, 275, 537, 1943, 204, 264, 1322, 289, 1356, 68, 6391, 68, 2059, 13, 768, 68, 2441, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 673, 1943, 3318, 768, 68, 2441, 2867, 353, 463, 2059, 12443, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 22, 19, 21, 19, 23, 47709, 12330, 19147, 1603, 38608, 32686, 460, 3820, 38005, 1227, 9855, 5259, 725, 10421, 18938, 44398, 725, 4664, 725, 10822, 725, 14745, 2338, 3865, 1955, 20434, 4121, 38608, 24820, 6551, 460, 460, 10298, 2338, 32586, 568, 204, 22, 19, 21, 19, 24, 226, 6436, 2526, 4121, 38608, 24820, 6551, 10298, 460, 8255, 7965, 14787, 6395, 4587, 10298, 408, 4587, 26455, 2370, 942, 3854, 4587, 48646, 26455, 16040, 5103, 2860, 42364, 568, 204, 22, 19, 21, 19, 25, 226, 4121, 38608, 24820, 6551, 10298, 2426, 408, 10298, 8255, 7965, 26526, 10298, 9516, 2065, 8404, 10700, 9516, 408, 2823, 2370, 10945, 2411, 28971, 10194, 21247, 568, 204, 22, 19, 21, 19, 26, 226, 6551, 2405, 1262, 6713, 2370, 21846, 408, 20326, 725, 28216, 725, 24134, 725, 16548, 2370, 12239, 4587, 5659, 408, 7965, 942, 1670, 6638, 20382, 20702, 568, 204, 22, 19, 21, 19, 27, 226, 6551, 2405, 1262, 5259, 725, 10421, 18938, 44349, 9760, 18543, 408, 3589, 27305, 725, 21342, 3523, 6478, 408, 10166, 3865, 7371, 408, 34346, 5932, 1955, 7965, 12239, 4296, 3560, 14205, 5103, 20458, 568, 204, 22, 19, 21, 19, 28, 226, 13231, 43139, 6551, 7965, 942, 10435, 10298, 16302, 2860, 6326, 12545, 2677, 2278, 12408, 5778, 725, 21628, 725, 7640, 6308, 1955, 10412, 2823, 3571, 28971, 10194, 32586, 10286, 4901, 1946, 408, 46730, 3590, 1926, 3031, 38050, 10298, 568, 204, 22, 19, 21, 19, 29, 18371, 942, 20188, 59, 725, 30686, 59, 44161, 1822, 22806, 460, 20434, 2526, 4121, 38608, 24820, 408, 12431, 3865, 38608, 13573, 10633, 3622, 6713, 408, 43917, 3865, 3883, 38608, 3622, 6713, 568, 204, 22, 19, 21, 19, 30, 226, 4121, 38608, 24820, 6551, 30, 226, 4121, 38608, 24820, 6551, 10298, 2338, 32586, 408, 5277, 12023, 2183, 12330, 2638, 408, 2778, 2370, 12239, 10369, 4121, 226, 6444, 725, 29156, 725, 12812, 5137, 14599, 43357, 6326, 6770, 725, 12330, 20458, 568, 204, 23, 19, 21, 19, 22, 4121, 38608, 24820, 226, 1367, 46870, 9014, 38608, 1227, 40305, 26020, 16921, 38608, 408, 1254, 16354, 38608, 23894, 460, 24820, 568, 435, 19, 21, 19, 23, 3883, 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, 11569, 35195, 226, 1367, 19469, 38608, 3841, 1251, 1773, 26020, 16921, 460, 3883, 35195, 6213, 8412, 2006, 568, 204, 23, 19, 21, 19, 24, 41398, 2006, 226, 7782, 3883, 2134, 1773, 2704, 725, 41398, 7594, 2455, 725, 41398, 5146, 1926, 3491, 2338, 27808, 25369, 7080, 4079, 2860, 1689, 3875, 41398, 16167, 460, 4262, 6076, 568, 204, 23, 19, 21, 19, 25, 4769, 41458, 226, 4121, 38608, 24820, 12054, 2065, 41398, 7594, 2455, 30542, 41458, 13, 20860, 14, 204, 23, 19, 21, 19, 26, 12054, 41458, 226, 4121, 38608, 24820, 12054, 7191, 2436, 11654, 2386, 4004, 2134, 5881, 30542, 41458, 13, 20860, 14, 204, 23, 19, 21, 19, 27, 32534, 41458, 226, 2499, 4004, 5881, 5031, 1638, 4623, 14942, 14655, 4004, 12054, 1390, 2405, 4852, 2411, 460, 41458, 2677, 20860, 2653, 204, 23, 19, 21, 19, 28, 4769, 41398, 41458, 226, 4121, 38608, 24820, 3883, 2134, 1773, 18884, 30444, 15208, 2065, 1251, 1773, 30542, 41458, 2677, 20860, 2653, 435, 19, 21, 19, 29, 8802, 26940, 30760, 226, 11226, 32942, 1822, 21793, 6713, 831, 8802, 26940, 3354, 12298, 10000, 30760, 460, 24057, 568, 204, 23, 19, 21, 19, 30, 37702, 29, 2132, 1902, 3361, 3004, 226, 35420, 11515, 15115, 21750, 10298, 7371, 831, 24278, 921, 2494, 2034, 2338, 12054, 6496, 15997, 8418, 1926, 17394, 21524, 408, 2056, 24795, 15713, 7416, 3004, 408, 10434, 44504, 460, 40594, 568, 204, 23, 19, 21, 19, 1003, 12069, 10364, 4121, 38608, 226, 4121, 38608, 9760, 460, 37548, 4384, 2370, 2065, 4296, 14687, 3865, 2849, 2738, 21844, 568, 435, 19, 21, 19, 1641, 38608, 13573, 10633, 3622, 6713, 226, 4241, 2134, 2006, 2677, 6713, 2653, 7858, 38608, 17902, 2781, 26020, 16921, 408, 1367, 2678, 38608, 2134, 17902, 6848, 2860, 14781, 33428, 45624, 568, 4296, 28870, 12054, 41458, 725, 32534, 41458, 22, 19, 21, 11720, 19237, 99, 22, 19, 21, 11720, 25257, 20860, 226, 9863, 568, 204, 23, 19, 21, 19, 1258, 3883, 38608, 3622, 6713, 226, 1367, 9487, 11702, 27034, 38608, 2134, 17902, 6713, 408, 4296, 28870, 12054, 41458, 725, 32534, 41458, 2370, 33494, 22, 19, 21, 11720, 24745, 20860, 571, 4121, 38608, 1929, 32332, 2321, 11798, 6633, 24820, 2677, 5368, 8481, 2653, 204, 25, 19, 22, 19, 22, 4121, 38608, 8802, 32935, 2677, 39267, 2653, 24820, 10298, 6949, 7782, 25595, 6152, 725, 41398, 4769, 10166, 725, 9352, 2321, 4795, 2366, 725, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 12256, 41558, 2677, 33244, 12256, 41558, 2653, 460, 16341, 21319, 2065, 18259, 1955, 10298, 725, 12408, 2338, 6658, 21846, 568, 204, 25, 19, 22, 19, 23, 10298, 10435, 11338, 42204, 1003, 3217, 4049, 17145, 2436, 3058, 14655, 31391, 13506, 29228, 2934, 31727, 27117, 2370, 20859, 568, 17164, 22146, 20287, 6551, 10298, 2370, 3725, 9219, 16240, 568, 204, 25, 19, 23, 6713, 725, 5259, 2065, 13856, 681, 19, 23, 19, 22, 10298, 1262, 6713, 2370, 12239, 10971, 5659, 1984, 368, 12256, 41558, 1984, 24849, 9760, 2338, 22603, 20496, 2370, 12239, 4015, 4121, 38608, 12256, 41558, 35166, 12330, 4002, 56, 47, 20, 57, 22051, 3701, 20458, 408, 2823, 6472, 12069, 10364, 4121, 38608, 9760, 568, 2336, 32534, 2338, 12054, 41458, 1984, 3883, 38608, 3622, 12256, 1999, 31134, 41458, 5057, 2370, 22944, 22, 19, 21, 11720, 24745, 20860, 38608, 13573, 10633, 3622, 12256, 1999, 31134, 41458, 5057, 2370, 1189, 22, 19, 21, 11720, 24745, 99, 22, 19, 21, 11720, 27763, 20860, 568, 435, 3883, 2134, 9352, 1984, 2370, 854, 4438, 2321, 17571, 2114, 9352, 408, 41458, 5057, 2370, 33494, 12256, 1999, 31134, 41458, 5057, 408, 15865, 3455, 16161, 2370, 29228, 24, 11720, 24745, 51, 20, 82, 23, 571, 17515, 15501, 4906, 1984, 2370, 7452, 3788, 21161, 22897, 725, 2638, 13501, 21844, 725, 17784, 2114, 5844, 6713, 568, 681, 3883, 2134, 1773, 2704, 1262, 18583, 1793, 248, 1984, 29495, 2370, 1002, 33494, 21, 19, 24420, 99, 21, 19, 4779, 649, 19, 13489, 12431, 1189, 29, 99, 1036, 649, 568, 204, 25, 19, 23, 19, 23, 12256, 41558, 2370, 10941, 9358, 27117, 19083, 460, 36848, 1191, 408, 44954, 10000, 725, 27101, 18968, 4411, 20197, 2114, 16122, 568, 21342, 3523, 1398, 2370, 6829, 3589, 6829, 27305, 408, 7005, 13739, 29235, 2034, 23047, 8208, 568, 7005, 13739, 5031, 1638, 40648, 2544, 27769, 11928, 27564, 568, 204, 25, 19, 23, 19, 24, 42498, 10298, 5259, 2677, 7333, 13856, 2653, 2370, 7782, 2110, 23263, 1843, 408, 17515, 15501, 29377, 725, 23652, 8669, 248, 4684, 725, 18609, 17411, 725, 4268, 16182, 725, 13443, 2455, 725, 4348, 46430, 1843, 1955, 408, 2336, 24134, 408, 9760, 39788, 18543, 2370, 12239, 10298, 11485, 5659, 568, 720, 19, 24, 10298, 13250, 681, 19, 24, 19, 22, 23547, 4587, 10298, 5776, 2823, 39633, 10295, 10298, 10435, 3058, 204, 25, 19, 24, 19, 23, 16312, 10298, 9061, 408, 20760, 2366, 4121, 38608, 24820, 41398, 4769, 5776, 725, 41398, 7594, 2455, 5776, 1227, 1773, 2704, 37324, 5776, 568, 681, 19, 24, 19, 24, 6606, 10298, 11485, 5659, 3445, 14346, 8612, 10298, 6713, 725, 5259, 725, 13856, 725, 2823, 19075, 4224, 4021, 14346, 568, 204, 25, 19, 24, 19, 25, 12054, 13630, 29228, 2825, 309, 23, 2677, 7333, 2825, 309, 23, 2653, 1398, 408, 921, 15244, 10298, 2426, 2370, 3500, 22982, 2114, 15335, 2122, 568, 681, 19, 24, 19, 26, 10298, 30986, 2370, 12239, 21131, 5659, 1984, 368, 25595, 24820, 1189, 23510, 24820, 2860, 2321, 11798, 6633, 24820, 1398, 1984, 368, 2653, 24820, 2370, 18753, 408, 2370, 2499, 24820, 7858, 3468, 16217, 725, 15865, 1990, 8747, 1955, 18816, 9396, 2654, 28450, 24817, 568, 435, 2653, 24820, 2370, 44504, 408, 1262, 23, 6377, 4615, 16182, 10717, 408, 2436, 29193, 2370, 33494, 23, 649, 568, 10732, 942, 43527, 33295, 1002, 3004, 2860, 942, 16791, 30089, 17991, 7965, 8461, 3004, 568, 571, 2653, 24820, 2370, 19083, 408, 10732, 1189, 7386, 5784, 24820, 2370, 4239, 1531, 27829, 6152, 568, 681, 2653, 1999, 5784, 2370, 8270, 11369, 37233, 18157, 408, 46740, 16161, 2370, 1002, 22944, 3534, 5485, 568, 435, 25595, 24820, 1189, 19104, 2677, 7819, 19104, 725, 42049, 725, 17515, 1955, 2653, 1398, 408, 2370, 19740, 5277, 3854, 19104, 408, 2823, 2370, 26043, 38626, 24820, 7858, 18816, 8056, 15865, 1990, 2654, 568, 204, 24, 10298, 10435, 2370, 28283, 15713, 27061, 16167, 568, 204, 25, 19, 24, 19, 27, 13363, 41398, 7594, 2455, 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, 13491, 1984, 13630, 921, 2825, 309, 23, 46058, 408, 41398, 7594, 2455, 2370, 14726, 1638, 22, 1377, 408, 13630, 4126, 9145, 2825, 82, 23, 408, 2370, 4129, 2122, 41398, 7594, 2455, 22, 3217, 23, 1377, 568, 681, 19, 24, 19, 28, 10298, 2426, 2370, 26043, 4709, 19211, 25595, 24820, 408, 24820, 1390, 13506, 8056, 942, 17171, 30929, 725, 12530, 6642, 1955, 21977, 2654, 568, 681, 19, 25, 10298, 681, 19, 25, 19, 22, 5762, 2093, 3354, 4084, 3491, 408, 2370, 4530, 24759, 5523, 4805, 28353, 13224, 13363, 568, 681, 19, 25, 19, 23, 2370, 6395, 1773, 2704, 37324, 5776, 47433, 3883, 2134, 18583, 1793, 248, 2704, 3598, 568, 18583, 1793, 248, 460, 24937, 19600, 42442, 2615, 408, 2370, 18276, 12256, 1999, 31134, 6841, 13491, 568, 18583, 1793, 248, 4906, 460, 47433, 2370, 3004, 4268, 408, 13506, 16102, 12078, 408, 12722, 2411, 2436, 5548, 568, 2065, 41398, 7594, 2455, 14541, 460, 18583, 1793, 248, 4906, 2370, 8056, 942, 22867, 28229, 568, 25, 19, 25, 19, 24, 17125, 3883, 2134, 9352, 1984, 2499, 20660, 8766, 1227, 9352, 2321, 2370, 6395, 22, 1984, 2051, 26994, 2807, 17125, 408, 2823, 27365, 22897, 568, 681, 19, 25, 19, 25, 13443, 9352, 1984, 2370, 14115, 921, 24820, 725, 3725, 16341, 21319, 460, 3883, 2134, 18583, 40907, 25009, 408, 12256, 1999, 31134, 5673, 1999, 5718, 11515, 45369, 3883, 2134, 9352, 568, 11515, 15115, 2370, 22897, 725, 11962, 408, 11515, 15115, 1946, 9754, 2369, 128, 5759, 568, 681, 19, 25, 19, 26, 16341, 12256, 12256, 41558, 1984, 8446, 11515, 942, 3883, 2134, 9352, 460, 12256, 41558, 2369, 128, 5759, 4228, 1002, 15865, 3304, 1398, 408, 2370, 21732, 6776, 16341, 12256, 568, 16341, 12256, 1398, 2370, 2499, 12256, 1999, 31134, 4004, 4268, 7217, 6760, 1603, 4084, 3354, 4084, 3491, 408, 16341, 12256, 2370, 18710, 35804, 568, 4661, 2065, 4661, 9863, 2370, 8056, 942, 22, 3217, 23, 649, 17613, 29193, 408, 17613, 29193, 13489, 2148, 2370, 11017, 9219, 21844, 568, 1262, 23652, 2524, 103, 22897, 35801, 4348, 4661, 1999, 408, 6760, 16341, 12256, 6760, 10717, 408, 11999, 15865, 12256, 43771, 568, 24820, 34681, 3541, 6883, 4438, 6770, 12256, 41558, 16341, 12256, 8461, 14346, 408, 4438, 6770, 12256, 41558, 1262, 18609, 17411, 27227, 30627, 568, 681, 19, 25, 19, 27, 2891, 16341, 12256, 1524, 41398, 7594, 2455, 3541, 1398, 408, 2370, 4239, 2499, 14541, 41398, 7594, 19459, 18583, 1793, 248, 4906, 5146, 1670, 408, 1262, 30987, 15501, 2860, 4758, 3190, 20244, 2065, 41398, 7594, 2455, 43771, 6128, 3455, 568, 4762, 11409, 16341, 12256, 41558, 568, 681, 19, 25, 19, 28, 12319, 24759, 16341, 12256, 33313, 1946, 408, 2370, 4239, 12256, 41558, 3190, 17613, 3541, 1262, 2110, 23263, 1843, 2110, 24309, 23263, 568, 23263, 3491, 2370, 3004, 4268, 725, 22897, 408, 23263, 13489, 25, 28715, 21, 19, 2898, 649, 1189, 12431, 568, 681, 19, 25, 19, 29, 6883, 17515, 15501, 29377, 921, 24309, 23263, 3541, 3590, 4250, 9777, 24309, 408, 2678, 4661, 2065, 4661, 6128, 1579, 15493, 568, 24309, 1689, 9396, 2654, 6883, 3178, 17411, 18609, 3004, 408, 3038, 13506, 5762, 9230, 12256, 41558, 12054, 568, 681, 19, 25, 19, 30, 41398, 4769, 10298, 2370, 7782, 11515, 3883, 2134, 9352, 5784, 725, 3883, 2134, 18583, 1793, 248, 1773, 2704, 725, 41398, 18583, 1793, 248, 725, 41398, 7594, 2455, 725, 41398, 5146, 1926, 3491, 725, 41398, 2006, 1955, 6949, 568, 5277, 2183, 9466, 8840, 2638, 408, 43845, 2370, 12239, 2183, 12330, 24, 19, 25, 19, 25, 65, 24, 19, 25, 19, 26, 4906, 8840, 568, 681, 19, 25, 19, 1003, 16341, 12256, 17554, 47729, 408, 2499, 24820, 18753, 24817, 408, 2823, 2370, 11515, 15115, 4121, 38608, 46430, 8792, 568, 204, 25, 19, 26, 19, 22, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 24820, 10822, 23428, 2370, 2098, 2183, 12330, 3336, 24, 19, 26, 19, 22, 4906, 990, 42498, 10822, 3708, 3401, 1001, 2356, 5659, 568, 681, 19, 26, 19, 23, 12408, 5932, 1984, 11338, 42204, 1909, 3217, 2188, 17145, 2436, 3058, 14655, 31391, 33494, 3894, 10, 681, 19, 26, 19, 24, 4121, 38608, 8802, 32935, 2677, 39267, 2653, 1773, 14794, 12054, 41458, 5057, 1227, 4769, 41458, 5057, 2370, 7452, 10971, 19769, 7371, 1984, 368, 12054, 41458, 460, 19769, 1984, 2370, 2499, 12319, 4121, 38608, 24820, 48316, 1579, 23, 3217, 25, 309, 23, 19769, 12399, 408, 42945, 15789, 4472, 2188, 10, 3217, 1719, 10, 460, 19769, 12399, 408, 2499, 4004, 2134, 5881, 14115, 5031, 1638, 12256, 41558, 12054, 408, 5881, 2436, 11654, 17244, 649, 408, 2134, 5881, 2065, 12256, 1999, 31134, 16081, 2370, 20859, 568, 921, 15789, 4472, 460, 23, 3217, 25, 309, 23, 460, 12399, 2386, 2370, 4852, 1670, 25, 3217, 29, 1377, 2642, 5057, 408, 2823, 1531, 16302, 568, 435, 4769, 41458, 460, 19769, 1984, 42204, 11654, 3359, 41398, 7594, 2455, 16607, 12399, 408, 42945, 15789, 4472, 43642, 2615, 408, 2370, 2499, 831, 2134, 5881, 2065, 12256, 41558, 12054, 20859, 16081, 408, 15881, 2134, 5881, 2370, 2065, 41398, 7594, 2455, 2738, 6128, 3455, 408, 4852, 1670, 4769, 41458, 5057, 408, 2823, 1531, 16302, 568, 571, 6658, 6256, 2093, 7371, 9302, 6395, 4015, 10539, 8898, 10717, 2698, 2642, 15789, 3411, 11514, 2338, 15789, 3411, 2949, 4002, 5709, 4023, 4023, 8840, 12023, 568, 681, 19, 26, 19, 25, 2134, 9760, 18543, 2370, 12239, 10971, 5659, 1984, 226, 43224, 5659, 6472, 3883, 38608, 28957, 408, 2336, 12054, 41458, 1227, 4769, 41458, 5057, 22944, 22, 19, 21, 11720, 24745, 20860, 32, 226, 381, 246, 5659, 6472, 38608, 13573, 10633, 28957, 408, 2336, 12054, 41458, 1227, 4769, 41458, 5057, 921, 22, 19, 21, 11720, 19237, 99, 22, 19, 21, 11720, 27763, 20860, 9863, 568, 226, 381, 247, 4769, 41398, 41458, 5057, 2370, 11572, 4587, 5659, 568, 204, 25, 19, 26, 19, 26, 22603, 9760, 2370, 12239, 10971, 5659, 1984, 368, 1002, 1227, 942, 4276, 14605, 725, 1789, 5784, 725, 45546, 16791, 16038, 3058, 435, 3079, 13415, 43527, 33295, 1002, 3004, 3058, 571, 3079, 13415, 5762, 30089, 3058, 681, 3079, 13415, 3788, 7658, 568, 681, 19, 26, 19, 27, 6436, 3190, 4121, 38608, 8802, 31490, 32935, 2677, 39267, 2653, 24820, 10822, 460, 8255, 408, 2370, 3571, 11004, 6233, 24051, 460, 6472, 46584, 17621, 12408, 11713, 2537, 27538, 33779, 7436, 26409, 34444, 204, 0, 647, 9921, 19, 8430, 204, 531, 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, 9921, 19, 8430, 532, 7252, 204, 531, 1498, 532, 783, 17, 1884, 17, 1535, 204, 204, 8, 4053, 6752, 204, 14483, 68, 5811, 289, 388, 14483, 12377, 11544, 12804, 13, 16162, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 17, 1564, 88, 13287, 204, 18344, 68, 5811, 289, 388, 18344, 11544, 17899, 1576, 21451, 88, 17, 2297, 21451, 88, 17, 11544, 16923, 21451, 88, 17, 12163, 1949, 21451, 88, 8888, 1236, 21451, 88, 7, 204, 16908, 68, 5811, 289, 388, 16908, 7281, 11544, 8888, 1236, 289, 1564, 88, 7, 204, 7097, 68, 5811, 289, 388, 7097, 1236, 17, 1576, 17, 2297, 17, 11544, 16923, 17, 12163, 1949, 7281, 11544, 7, 204, 7097, 68, 5811, 68, 60, 8400, 289, 15754, 68, 5811, 465, 388, 8888, 1236, 289, 1564, 88, 7, 204, 204, 676, 27609, 46109, 31, 204, 264, 320, 204, 264, 1594, 12003, 7730, 348, 27609, 9873, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1727, 68, 5108, 330, 204, 268, 320, 204, 268, 1865, 275, 27609, 46109, 440, 273, 1727, 5089, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1727, 68, 5108, 31, 334, 1727, 5089, 311, 732, 348, 1104, 2758, 19, 204, 268, 320, 204, 268, 370, 19, 2602, 68, 5108, 289, 1727, 68, 5108, 204, 204, 264, 436, 4482, 68, 19145, 68, 1271, 13, 327, 17, 1576, 31, 394, 17, 2297, 31, 818, 17, 11544, 68, 765, 31, 421, 17, 12163, 68, 1949, 31, 818, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 17327, 273, 717, 11544, 1184, 1025, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1576, 322, 325, 330, 334, 1576, 302, 275, 11544, 1184, 19, 204, 268, 338, 2297, 322, 996, 330, 334, 2297, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 765, 322, 339, 330, 334, 11544, 1040, 302, 275, 11544, 1184, 19, 204, 268, 338, 12163, 68, 1949, 322, 996, 330, 334, 12163, 2233, 302, 275, 11544, 1184, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 13140, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 1181, 17, 2297, 17, 11544, 68, 765, 17, 12163, 68, 1949, 14, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 14483, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 18740, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 1395, 68, 19145, 68, 1271, 13, 327, 17, 1576, 31, 394, 17, 2297, 31, 818, 17, 11544, 68, 765, 31, 421, 17, 12163, 68, 1949, 31, 818, 17, 11544, 68, 359, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 5307, 437, 4449, 11544, 1184, 292, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1576, 322, 325, 330, 334, 1576, 302, 275, 11544, 1184, 19, 204, 268, 338, 2297, 322, 996, 330, 334, 2297, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 765, 322, 339, 330, 334, 11544, 1040, 302, 275, 11544, 1184, 19, 204, 268, 338, 12163, 68, 1949, 322, 996, 330, 334, 12163, 2233, 302, 275, 11544, 1184, 19, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 1395, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 1395, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 1181, 17, 2297, 17, 11544, 68, 765, 17, 12163, 68, 1949, 17, 11544, 68, 359, 14, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 18344, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 9683, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 4032, 68, 19145, 68, 1271, 13, 327, 17, 11544, 68, 359, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 11183, 273, 11544, 1184, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 4032, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1109, 31, 959, 397, 275, 13052, 867, 2707, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 666, 273, 927, 302, 1906, 348, 275, 4053, 1484, 204, 268, 2042, 289, 322, 19145, 68, 359, 16391, 204, 268, 810, 31, 204, 305, 314, 5635, 275, 4053, 1484, 974, 275, 1727, 5089, 204, 305, 370, 806, 4118, 68, 2120, 13, 16908, 68, 5811, 17, 2042, 14, 204, 305, 407, 959, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 12629, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1078, 204, 204, 264, 436, 2694, 68, 19145, 68, 1996, 13, 327, 17, 11544, 68, 359, 31, 1535, 64, 339, 66, 289, 443, 14, 393, 783, 64, 2983, 744, 204, 268, 320, 204, 268, 4071, 273, 11544, 1184, 521, 830, 11544, 2696, 497, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 268, 338, 11544, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 11544, 1184, 311, 3686, 19, 828, 443, 17, 21030, 830, 11544, 2696, 19, 204, 204, 268, 475, 31, 204, 268, 338, 783, 64, 2983, 744, 332, 458, 302, 5760, 1174, 275, 11544, 1184, 424, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 273, 1727, 497, 275, 1727, 5089, 204, 305, 5828, 289, 370, 19, 2602, 68, 5108, 19, 505, 68, 2602, 374, 204, 305, 3370, 289, 5828, 19, 4322, 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, 305, 397, 11544, 68, 359, 353, 443, 31, 204, 485, 314, 5635, 275, 4053, 1484, 311, 3686, 830, 11544, 2696, 204, 485, 3370, 19, 4118, 13, 7097, 68, 5811, 14, 204, 305, 902, 31, 204, 485, 314, 5635, 275, 4053, 1484, 311, 3686, 273, 2824, 11544, 1184, 204, 485, 3370, 19, 4118, 13, 7097, 68, 5811, 68, 60, 8400, 17, 322, 19145, 68, 359, 11451, 204, 305, 314, 6579, 830, 3015, 497, 275, 1484, 722, 204, 305, 3015, 289, 3370, 19, 13208, 374, 204, 305, 407, 3015, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 14056, 11544, 1184, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 305, 397, 379, 6519, 12, 292, 24650, 1293, 204, 485, 5828, 19, 3529, 374, 204, 204, 264, 436, 906, 4118, 68, 2120, 13, 327, 17, 1484, 31, 394, 17, 2042, 31, 927, 330, 204, 268, 320, 204, 268, 18155, 273, 4053, 1484, 974, 275, 1727, 5089, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1484, 322, 325, 330, 334, 4053, 1484, 311, 4490, 19, 204, 268, 338, 2042, 322, 2644, 330, 334, 1906, 348, 275, 4053, 1484, 19, 204, 268, 320, 204, 268, 314, 763, 273, 1727, 497, 275, 1727, 5089, 204, 268, 5828, 289, 370, 19, 2602, 68, 5108, 19, 505, 68, 2602, 374, 204, 268, 810, 31, 204, 305, 314, 666, 273, 3370, 726, 204, 305, 3370, 289, 5828, 19, 4322, 374, 204, 305, 314, 5635, 275, 4053, 1484, 204, 305, 3370, 19, 4118, 13, 2120, 17, 2042, 14, 204, 305, 314, 8588, 275, 3731, 204, 305, 5828, 19, 4827, 374, 204, 268, 827, 7252, 448, 318, 31, 204, 305, 314, 1426, 1169, 2744, 496, 1336, 1882, 1484, 5156, 204, 305, 456, 13, 75, 7, 596, 14026, 1484, 31, 463, 74, 743, 204, 305, 314, 32166, 275, 3731, 204, 305, 5828, 19, 19398, 374, 204, 268, 6666, 31, 204, 305, 314, 5706, 275, 3370, 329, 1727, 204, 305, 397, 379, 4322, 12, 292, 24650, 1293, 204, 485, 3370, 19, 3529, 374, 204, 305, 397, 379, 6519, 12, 292, 24650, 1293, 204, 485, 5828, 19, 3529, 374, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1727, 5089, 204, 264, 1727, 68, 5108, 289, 9921, 19, 8430, 19, 25432, 19, 30878, 7884, 13, 204, 268, 5089, 68, 417, 1022, 19145, 68, 5108, 528, 204, 268, 5089, 68, 835, 34, 26, 17, 204, 268, 2442, 1022, 7714, 528, 204, 268, 1104, 1022, 19145, 68, 1479, 528, 204, 268, 575, 1022, 19145, 68, 816, 528, 204, 268, 1482, 1022, 19145, 68, 1989, 7, 204, 264, 1179, 204, 204, 264, 314, 666, 273, 27609, 46109, 726, 204, 264, 11544, 68, 21238, 289, 27609, 46109, 13, 2602, 68, 5108, 14, 204, 204, 264, 314, 6461, 273, 717, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 5021, 68, 19145, 68, 1271, 499, 1181, 22, 528, 931, 19, 2418, 17, 1607, 17, 500, 19, 22, 14, 204, 204, 264, 314, 1716, 437, 4449, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 2045, 68, 19145, 68, 1271, 499, 1181, 22, 528, 2958, 19, 2418, 17, 1607, 17, 500, 19, 22, 17, 368, 14, 204, 204, 264, 314, 6117, 273, 11544, 1184, 204, 264, 11544, 68, 21238, 19, 2756, 68, 19145, 68, 1271, 13, 22, 14, 204, 204, 264, 314, 4491, 830, 11544, 2696, 204, 264, 11544, 68, 1996, 289, 11544, 68, 21238, 19, 4637, 68, 19145, 68, 1996, 374, 204, 264, 456, 13, 19145, 68, 1996, 14, 204, 204, 264, 314, 4491, 273, 2824, 11544, 1184, 204, 264, 11544, 68, 1271, 289, 11544, 68, 21238, 19, 4637, 68, 19145, 68, 1996, 13, 22, 14, 204, 264, 456, 13, 19145, 68, 1271, 14, 204, 0, 647, 4104, 204, 647, 304, 204, 647, 5503, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 461, 1151, 68, 492, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 4143, 273, 1068, 510, 329, 2584, 273, 458, 302, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1068, 510, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 2238, 292, 275, 1068, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 329, 407, 275, 2238, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 9872, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 2462, 3318, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 3404, 68, 1054, 68, 10247, 68, 2489, 13, 1054, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 21663, 273, 1007, 1025, 273, 458, 302, 2159, 19, 204, 204, 264, 457, 31, 204, 268, 1007, 322, 325, 330, 334, 1007, 311, 3404, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 325, 744, 332, 458, 302, 2159, 292, 275, 1007, 19, 204, 264, 320, 204, 264, 314, 1974, 4217, 2231, 311, 3404, 275, 1007, 1025, 2159, 204, 264, 407, 551, 750, 348, 1142, 292, 304, 19, 1590, 7708, 60, 17152, 1007, 14, 397, 1142, 66, 204, 204, 461, 1813, 68, 1538, 68, 2170, 68, 750, 13, 2489, 31, 783, 64, 325, 648, 1029, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 1029, 1142, 292, 273, 458, 302, 2159, 329, 2584, 275, 1068, 1877, 490, 19, 204, 204, 264, 457, 31, 204, 268, 2159, 322, 1218, 64, 325, 1037, 334, 458, 302, 2159, 311, 1813, 19, 204, 268, 1029, 322, 325, 330, 334, 1029, 1142, 311, 1813, 348, 19, 204, 204, 264, 475, 31, 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, 394, 31, 334, 1068, 1877, 275, 1029, 1142, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1752, 275, 1112, 302, 275, 1029, 1142, 329, 407, 275, 1068, 1877, 490, 204, 268, 1112, 289, 2159, 19, 998, 13, 2170, 14, 204, 268, 407, 379, 3759, 1541, 13, 2489, 64, 998, 465, 368, 10101, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 1029, 1142, 353, 508, 1193, 204, 268, 407, 5607, 204, 204, 461, 1900, 68, 359, 68, 417, 68, 8363, 13, 204, 264, 1068, 68, 2604, 31, 783, 64, 325, 648, 716, 264, 4104, 68, 553, 68, 546, 31, 394, 17, 716, 264, 919, 68, 553, 68, 546, 31, 394, 289, 379, 873, 1701, 2687, 491, 716, 264, 9336, 31, 394, 289, 42659, 204, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 6071, 273, 955, 302, 3918, 4192, 311, 1987, 329, 2584, 490, 19, 204, 204, 264, 457, 31, 204, 268, 1068, 68, 2604, 322, 1218, 64, 325, 1037, 334, 2238, 497, 275, 1068, 510, 19, 204, 268, 4104, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 268, 919, 68, 553, 68, 546, 322, 325, 17, 1448, 330, 334, 832, 311, 275, 919, 510, 19, 1243, 311, 379, 873, 1701, 2687, 2625, 204, 268, 9336, 322, 325, 17, 1448, 330, 334, 9336, 311, 732, 19, 1243, 311, 32142, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 302, 3918, 4192, 311, 1987, 19, 204, 264, 320, 204, 264, 1276, 68, 417, 68, 2850, 289, 2087, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 3496, 204, 268, 440, 1451, 13, 2039, 68, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 305, 6686, 289, 4104, 19, 29180, 13, 2039, 68, 553, 14, 204, 305, 3496, 289, 6686, 19, 44293, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 1068, 510, 204, 305, 348, 1007, 292, 1068, 68, 2604, 31, 204, 485, 2159, 289, 3404, 68, 1054, 68, 10247, 68, 2489, 13, 1054, 14, 204, 485, 314, 1861, 1048, 848, 3494, 292, 275, 2306, 510, 204, 485, 348, 3494, 292, 3496, 31, 204, 895, 314, 778, 397, 275, 3494, 353, 292, 275, 2159, 204, 895, 397, 3494, 19, 5231, 374, 292, 2159, 31, 204, 2058, 314, 6994, 348, 275, 1029, 1142, 329, 636, 275, 588, 204, 2058, 588, 289, 1813, 68, 1538, 68, 2170, 68, 750, 13, 2489, 17, 3494, 19, 5231, 1447, 204, 2058, 314, 1255, 275, 1222, 329, 588, 311, 275, 955, 204, 2058, 1276, 68, 417, 68, 2850, 64, 4603, 66, 289, 588, 204, 268, 407, 1276, 68, 417, 68, 2850, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 2306, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 596, 31, 2462, 3318, 2039, 68, 553, 68, 546, 2867, 508, 1193, 1280, 204, 268, 407, 2087, 204, 204, 461, 2281, 68, 8363, 68, 633, 68, 553, 13, 8363, 31, 1061, 64, 325, 17, 394, 648, 510, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 273, 955, 311, 273, 510, 974, 5503, 19, 204, 204, 264, 457, 31, 204, 268, 955, 322, 1665, 64, 325, 17, 394, 1037, 334, 955, 311, 2281, 19, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 919, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 2510, 2281, 2291, 329, 10316, 275, 955, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 9220, 534, 448, 510, 31, 204, 305, 5503, 19, 4573, 13, 8363, 17, 510, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 4695, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 6944, 275, 2548, 19, 204, 264, 320, 204, 264, 532, 2454, 204, 264, 314, 778, 397, 275, 1706, 542, 302, 1906, 529, 1917, 204, 264, 397, 571, 2186, 1245, 13, 4807, 19, 4983, 14, 2186, 681, 31, 204, 268, 1068, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 22, 66, 204, 268, 4104, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 23, 66, 204, 268, 919, 68, 553, 68, 546, 289, 2454, 19, 4983, 64, 24, 66, 397, 1245, 13, 4807, 19, 4983, 14, 564, 681, 902, 379, 873, 1701, 2687, 12, 204, 268, 314, 1606, 275, 1068, 510, 204, 268, 1068, 68, 2604, 289, 1151, 68, 492, 68, 553, 13, 492, 68, 553, 68, 546, 14, 204, 268, 314, 2069, 275, 1222, 588, 955, 204, 268, 955, 289, 1900, 68, 359, 68, 417, 68, 8363, 13, 492, 68, 2604, 17, 4104, 68, 553, 68, 546, 17, 919, 68, 553, 68, 546, 14, 204, 268, 314, 3400, 275, 955, 311, 273, 510, 204, 268, 2281, 68, 8363, 68, 633, 68, 553, 13, 8363, 17, 919, 68, 553, 68, 546, 14, 204, 268, 456, 499, 20819, 431, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 542, 302, 1906, 431, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 676, 6109, 45800, 31, 204, 264, 436, 4794, 68, 9709, 13, 327, 17, 394, 22, 31, 394, 17, 394, 23, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9761, 970, 3157, 311, 6626, 275, 38360, 4794, 722, 19, 204, 204, 268, 457, 31, 204, 268, 394, 22, 322, 325, 330, 334, 1043, 782, 19, 204, 268, 394, 23, 322, 325, 330, 334, 1350, 782, 19, 204, 204, 268, 475, 31, 204, 268, 394, 31, 334, 6116, 782, 19, 204, 268, 320, 204, 822, 268, 314, 3301, 1322, 31, 397, 1855, 3157, 529, 1392, 17, 407, 437, 1392, 782, 204, 268, 397, 508, 394, 22, 329, 508, 394, 23, 31, 204, 305, 407, 3026, 204, 204, 268, 314, 828, 1051, 302, 275, 3157, 353, 1392, 17, 407, 275, 904, 782, 204, 268, 397, 508, 394, 22, 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, 407, 394, 23, 204, 268, 397, 508, 394, 23, 31, 204, 305, 407, 394, 22, 204, 204, 268, 314, 8139, 275, 790, 2724, 302, 1855, 3157, 204, 268, 314, 828, 275, 790, 1943, 302, 394, 22, 353, 38360, 5658, 17, 716, 268, 314, 6879, 490, 440, 275, 3022, 302, 275, 6116, 3157, 204, 268, 397, 394, 22, 1323, 394, 23, 31, 204, 305, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 822, 268, 314, 828, 275, 790, 1943, 302, 394, 23, 353, 38360, 5658, 17, 716, 268, 314, 6879, 490, 440, 275, 3022, 302, 275, 6116, 3157, 204, 268, 1677, 394, 23, 1323, 394, 22, 31, 204, 305, 407, 394, 23, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 17, 394, 23, 64, 22, 10101, 204, 822, 268, 314, 828, 275, 790, 2724, 529, 1936, 17, 5408, 275, 3022, 302, 275, 3157, 204, 268, 902, 31, 204, 305, 314, 828, 275, 3022, 302, 394, 22, 353, 38360, 5658, 17, 6879, 275, 790, 1943, 302, 394, 22, 204, 305, 397, 394, 22, 64, 22, 5853, 1323, 394, 23, 64, 22, 15136, 204, 485, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 305, 314, 828, 275, 3022, 302, 394, 23, 353, 38360, 5658, 17, 6879, 275, 790, 1943, 302, 394, 23, 204, 305, 1677, 394, 23, 64, 22, 5853, 1323, 394, 22, 64, 22, 15136, 204, 485, 407, 394, 23, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 17, 394, 23, 64, 22, 10101, 204, 305, 314, 828, 275, 3022, 302, 1855, 3157, 529, 1936, 17, 6879, 275, 790, 2724, 204, 305, 902, 31, 204, 485, 407, 394, 22, 64, 21, 66, 465, 370, 19, 12680, 68, 9709, 13, 325, 22, 64, 22, 16915, 394, 23, 14, 204, 204, 8, 1165, 1265, 31, 204, 1652, 727, 289, 6109, 45800, 374, 204, 2102, 13, 1652, 727, 19, 12680, 68, 9709, 499, 9525, 528, 388, 461, 3687, 226, 314, 3215, 31, 388, 461, 9525, 7, 204, 2102, 13, 1652, 727, 19, 12680, 68, 9709, 499, 9525, 528, 388, 37261, 3687, 226, 314, 3215, 31, 388, 37261, 9525, 7, 204, 0, 676, 33169, 7279, 31, 204, 264, 320, 204, 264, 332, 850, 311, 949, 4016, 8598, 329, 2811, 933, 1066, 6752, 19, 204, 204, 264, 1532, 31, 204, 268, 4016, 68, 1303, 322, 655, 64, 339, 1037, 334, 4016, 1066, 1348, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1348, 31, 458, 64, 339, 694, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 33169, 7279, 850, 440, 437, 1348, 302, 1892, 19, 204, 204, 268, 457, 31, 204, 305, 1348, 322, 655, 64, 339, 1037, 332, 458, 302, 1892, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 1348, 353, 508, 273, 458, 521, 3192, 1950, 18, 4649, 1019, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 537, 1348, 353, 1097, 204, 268, 397, 508, 2381, 13, 643, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 93, 17, 421, 14, 348, 610, 292, 1348, 330, 204, 305, 980, 987, 499, 3383, 1348, 1631, 444, 273, 458, 302, 1892, 431, 204, 204, 268, 314, 977, 275, 4016, 1066, 1348, 204, 268, 370, 19, 4830, 68, 1303, 289, 370, 806, 3446, 68, 4830, 68, 1303, 13, 643, 14, 204, 204, 264, 436, 906, 3446, 68, 4830, 68, 1303, 13, 327, 17, 1348, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 3989, 275, 4016, 1066, 1348, 19, 204, 204, 268, 457, 31, 204, 305, 1348, 322, 655, 64, 339, 1037, 334, 537, 1348, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 334, 4016, 1066, 1348, 19, 204, 268, 320, 204, 268, 314, 977, 275, 4016, 1066, 1348, 440, 7152, 204, 268, 4016, 68, 1303, 289, 551, 21, 66, 540, 1245, 13, 643, 14, 204, 204, 268, 314, 888, 275, 4016, 1066, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 643, 4019, 204, 305, 397, 296, 564, 500, 31, 204, 485, 4016, 68, 1303, 64, 78, 66, 289, 1348, 64, 78, 66, 204, 305, 902, 31, 204, 485, 4016, 68, 1303, 64, 78, 66, 289, 4016, 68, 1303, 64, 78, 338, 368, 66, 465, 1348, 64, 78, 66, 204, 204, 268, 407, 4016, 68, 1303, 204, 204, 264, 436, 636, 68, 1303, 13, 327, 17, 1012, 31, 421, 17, 1136, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 1066, 302, 275, 1348, 497, 275, 1012, 311, 275, 1136, 14368, 19, 204, 204, 268, 457, 31, 204, 305, 1012, 322, 339, 330, 334, 1012, 1112, 322, 10711, 789, 204, 305, 1136, 322, 339, 330, 334, 1136, 1112, 322, 10711, 789, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 1066, 302, 275, 1348, 497, 275, 1012, 311, 275, 1136, 14368, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 1012, 521, 1136, 1112, 353, 685, 302, 933, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1012, 329, 1136, 14368, 529, 1097, 204, 268, 397, 1012, 962, 500, 521, 1136, 3721, 1245, 13, 327, 19, 4830, 68, 1303, 14, 521, 1012, 1323, 1136, 31, 204, 305, 980, 9394, 499, 7820, 521, 1136, 1112, 353, 685, 302, 933, 431, 204, 204, 268, 314, 888, 275, 1066, 974, 275, 4016, 1066, 1348, 204, 268, 397, 1012, 564, 500, 31, 204, 305, 407, 370, 19, 4830, 68, 1303, 64, 409, 66, 204, 268, 902, 31, 204, 305, 407, 370, 19, 4830, 68, 1303, 64, 409, 66, 338, 370, 19, 4830, 68, 1303, 64, 1530, 338, 368, 66, 204, 204, 264, 436, 3192, 68, 1303, 13, 327, 17, 1029, 68, 1303, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 475, 959, 397, 275, 1348, 3192, 275, 1029, 1066, 17, 1078, 2130, 19, 204, 204, 268, 457, 31, 204, 305, 1029, 68, 1303, 322, 339, 330, 334, 1029, 1066, 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, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 1348, 3192, 275, 1029, 1066, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1029, 1066, 353, 437, 1534, 204, 268, 397, 508, 2381, 13, 2170, 68, 1303, 17, 421, 330, 204, 305, 980, 3660, 499, 12118, 1066, 1631, 444, 437, 1534, 431, 204, 204, 268, 314, 1974, 273, 758, 311, 1640, 275, 4016, 8598, 348, 6184, 11936, 204, 268, 4016, 68, 10089, 289, 758, 374, 204, 268, 348, 1066, 68, 1271, 292, 370, 19, 4830, 68, 1303, 31, 204, 305, 397, 1066, 68, 1271, 338, 1029, 68, 1303, 292, 4016, 68, 10089, 31, 204, 485, 407, 959, 204, 305, 4016, 68, 10089, 19, 826, 13, 1303, 68, 1271, 14, 204, 204, 268, 407, 1078, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 1348, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 66, 204, 264, 4016, 68, 1303, 289, 33169, 7279, 13, 643, 14, 204, 264, 456, 13, 4830, 68, 1303, 19, 505, 68, 1303, 13, 22, 17, 571, 602, 226, 314, 3215, 31, 1233, 204, 264, 456, 13, 4830, 68, 1303, 19, 12930, 68, 1303, 13, 30, 602, 226, 314, 3215, 31, 959, 204, 0, 676, 42188, 1218, 31, 204, 264, 320, 204, 264, 332, 850, 311, 4204, 273, 311, 18, 2663, 458, 19, 204, 204, 264, 1532, 31, 204, 268, 4625, 322, 655, 330, 332, 458, 302, 4625, 292, 275, 311, 18, 2663, 458, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 437, 1392, 311, 18, 2663, 458, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 458, 311, 1640, 4625, 204, 268, 370, 19, 6381, 31, 458, 64, 325, 66, 289, 1306, 204, 204, 264, 436, 881, 68, 2607, 13, 327, 17, 1781, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 1781, 311, 275, 311, 18, 2663, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1781, 322, 325, 330, 334, 1781, 311, 444, 4327, 19, 204, 268, 320, 204, 268, 314, 1255, 275, 1781, 311, 275, 458, 204, 268, 370, 19, 6381, 19, 1223, 13, 2607, 14, 204, 204, 264, 436, 4032, 68, 2607, 13, 327, 17, 1781, 68, 998, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 273, 1781, 497, 275, 311, 18, 2663, 458, 19, 204, 204, 268, 457, 31, 204, 305, 1781, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 1781, 311, 444, 8143, 19, 204, 204, 268, 1632, 31, 204, 305, 9394, 31, 828, 275, 1781, 1112, 353, 685, 302, 933, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1781, 1112, 353, 2614, 275, 1097, 933, 204, 268, 397, 1781, 68, 998, 962, 500, 521, 1781, 68, 998, 3721, 1245, 13, 327, 19, 6381, 330, 204, 305, 980, 9394, 499, 7289, 1112, 353, 685, 302, 933, 431, 204, 268, 314, 6117, 275, 1781, 630, 275, 1713, 1112, 204, 268, 6924, 370, 19, 6381, 64, 2607, 68, 998, 66, 204, 204, 264, 436, 2013, 68, 6381, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 830, 4625, 292, 275, 311, 18, 2663, 458, 19, 204, 268, 320, 204, 268, 314, 1198, 848, 1781, 292, 275, 458, 204, 268, 348, 1112, 17, 1781, 292, 3209, 13, 327, 19, 6381, 330, 204, 305, 456, 13, 75, 1954, 998, 465, 368, 3572, 463, 2607, 743, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 311, 18, 2663, 458, 204, 264, 11667, 68, 655, 289, 42188, 1218, 374, 204, 615, 264, 314, 1255, 4625, 311, 275, 458, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 32206, 20941, 46078, 431, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 5058, 5088, 41380, 431, 204, 264, 11667, 68, 655, 19, 826, 68, 2607, 499, 21205, 275, 4308, 431, 204, 615, 264, 314, 9845, 4625, 292, 275, 458, 204, 264, 456, 499, 40915, 2212, 204, 264, 11667, 68, 655, 19, 1529, 68, 6381, 374, 204, 615, 264, 314, 6117, 273, 1781, 497, 275, 458, 204, 264, 11667, 68, 655, 19, 2756, 68, 2607, 13, 22, 14, 204, 615, 264, 314, 9845, 4625, 292, 275, 458, 1877, 13052, 204, 264, 456, 3273, 83, 40915, 1877, 13052, 2212, 204, 264, 11667, 68, 655, 19, 1529, 68, 6381, 374, 204, 0, 531, 4433, 532, 824, 17, 4123, 17, 1779, 68, 1538, 17, 2111, 68, 3143, 204, 531, 27289, 19, 2918, 532, 10390, 68, 2029, 204, 647, 1127, 204, 647, 424, 68, 2754, 204, 204, 461, 636, 68, 816, 68, 359, 13, 2574, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 4071, 275, 575, 1222, 497, 275, 1104, 1609, 523, 275, 1917, 2143, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 3686, 275, 1222, 348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 575, 1222, 3610, 440, 275, 1917, 2143, 19, 204, 264, 320, 204, 264, 407, 424, 68, 2754, 19, 505, 68, 816, 68, 359, 68, 1424, 68, 2574, 13, 2574, 14, 204, 204, 461, 2106, 68, 935, 13, 553, 17, 5991, 68, 3810, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 9716, 275, 1917, 752, 510, 311, 275, 1713, 5991, 4622, 19, 204, 204, 264, 457, 31, 204, 268, 510, 31, 334, 752, 510, 311, 2106, 19, 204, 268, 5991, 68, 3810, 322, 325, 330, 334, 4622, 311, 2106, 275, 752, 292, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2049, 302, 275, 6467, 752, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 510, 353, 1917, 329, 869, 273, 2049, 204, 264, 397, 510, 329, 510, 19, 2029, 31, 204, 268, 2049, 289, 10390, 68, 2029, 13, 553, 19, 2029, 14, 204, 268, 510, 19, 2360, 13, 865, 19, 546, 19, 1541, 13, 7488, 68, 3810, 17, 2049, 602, 204, 268, 407, 2049, 204, 264, 407, 3026, 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, 838, 68, 1957, 68, 6008, 13, 2574, 31, 394, 17, 1724, 31, 394, 17, 943, 31, 394, 17, 752, 31, 394, 289, 11070, 393, 1135, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 2717, 955, 440, 275, 1917, 3695, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 2143, 302, 275, 575, 4141, 275, 2717, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 2717, 19, 204, 268, 943, 322, 325, 330, 334, 943, 302, 275, 2717, 19, 204, 268, 752, 322, 325, 17, 1448, 330, 334, 2049, 302, 275, 752, 3610, 440, 275, 2717, 19, 1243, 311, 13080, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 2457, 275, 717, 2717, 19, 204, 264, 320, 204, 264, 575, 68, 359, 289, 636, 68, 816, 68, 359, 13, 2574, 14, 204, 264, 717, 68, 6008, 289, 463, 204, 268, 379, 1778, 597, 1724, 17, 204, 268, 379, 1454, 597, 943, 19, 3834, 7708, 83, 491, 13487, 6600, 20, 35, 2008, 204, 268, 379, 935, 597, 752, 17, 204, 268, 379, 816, 68, 359, 597, 575, 68, 359, 204, 264, 1211, 204, 264, 407, 717, 68, 6008, 204, 204, 37, 748, 19, 3955, 4195, 826, 18, 6008, 491, 2986, 4980, 5016, 2378, 204, 461, 636, 68, 826, 68, 6008, 374, 393, 394, 31, 204, 264, 320, 204, 264, 10616, 275, 881, 2717, 1472, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 5703, 2966, 2399, 348, 275, 881, 2717, 1472, 19, 204, 264, 320, 204, 264, 314, 4491, 275, 2143, 497, 275, 2067, 204, 264, 2143, 289, 2067, 736, 2574, 839, 204, 264, 407, 2111, 68, 3143, 611, 1957, 68, 6008, 19, 2079, 491, 2143, 34, 2574, 14, 204, 204, 37, 748, 19, 3955, 4195, 826, 18, 6008, 491, 2986, 4980, 4252, 2378, 204, 461, 1722, 68, 826, 68, 6008, 374, 393, 394, 31, 204, 264, 320, 204, 264, 5133, 275, 881, 2717, 798, 8244, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 4123, 311, 275, 1112, 1472, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4491, 275, 2143, 497, 275, 2067, 204, 268, 2143, 289, 2067, 736, 2574, 839, 204, 822, 268, 314, 4491, 275, 798, 424, 204, 268, 1724, 289, 824, 19, 654, 736, 1778, 839, 204, 268, 943, 289, 824, 19, 654, 736, 1454, 839, 204, 822, 268, 314, 778, 397, 437, 752, 353, 1917, 204, 268, 752, 289, 3026, 204, 268, 397, 379, 935, 12, 292, 824, 19, 2375, 329, 824, 19, 2375, 736, 935, 3750, 2029, 31, 204, 305, 752, 289, 2106, 68, 935, 13, 1443, 19, 2375, 736, 935, 2043, 740, 19, 1087, 736, 25616, 68, 13839, 2378, 204, 822, 268, 314, 666, 273, 717, 2717, 955, 204, 268, 717, 68, 6008, 289, 838, 68, 1957, 68, 6008, 13, 2574, 17, 1724, 17, 943, 17, 752, 14, 204, 822, 268, 314, 6461, 275, 717, 2717, 1025, 275, 1104, 204, 268, 424, 68, 2754, 19, 5021, 68, 1957, 68, 6008, 68, 633, 68, 2819, 13, 1957, 68, 6008, 14, 204, 822, 268, 314, 10693, 311, 275, 1112, 1472, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 275, 2710, 204, 268, 314, 1547, 677, 273, 3094, 6296, 311, 711, 275, 2710, 348, 17114, 5356, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 4123, 13, 805, 68, 1538, 611, 998, 3063, 204, 0, 37553, 852, 947, 677, 11814, 2351, 472, 494, 395, 301, 11731, 6388, 204, 3070, 275, 1043, 690, 7921, 17, 275, 3566, 1120, 874, 275, 10931, 311, 2013, 275, 5005, 2351, 26645, 283, 494, 395, 301, 302, 18172, 677, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 5464, 362, 8495, 17, 9586, 7404, 1882, 275, 3200, 302, 273, 17142, 18, 5515, 11531, 2002, 496, 6911, 292, 18579, 17, 9337, 275, 5904, 9582, 10047, 19, 1765, 15056, 17, 275, 16166, 2080, 1742, 4213, 25597, 4131, 302, 27267, 270, 329, 7081, 17, 15469, 6310, 1882, 275, 37503, 302, 2989, 4553, 19, 204, 4592, 275, 2247, 427, 6129, 17, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 17, 5082, 292, 275, 12044, 521, 17555, 15056, 17, 869, 1742, 275, 2941, 302, 273, 1627, 302, 9907, 28121, 300, 8734, 19, 9419, 17, 19508, 1120, 444, 11171, 523, 970, 3054, 848, 2699, 17, 560, 14319, 1698, 17, 20921, 311, 273, 717, 3073, 5143, 496, 38699, 275, 300, 8734, 12, 22407, 1335, 29784, 1693, 275, 3566, 5104, 311, 275, 501, 39585, 18085, 523, 275, 1043, 8224, 302, 275, 5464, 362, 8495, 3700, 677, 14575, 272, 8449, 12888, 573, 5343, 19, 204, 837, 437, 10291, 302, 275, 5411, 9767, 496, 869, 5298, 5955, 8774, 284, 7113, 299, 719, 311, 5332, 3022, 276, 657, 302, 4376, 19280, 3566, 40377, 1702, 448, 18172, 677, 14367, 2925, 472, 35701, 322, 43, 409, 78, 659, 13014, 23069, 322, 29537, 76, 815, 659, 329, 1212, 12407, 277, 328, 322, 57, 478, 677, 659, 275, 2002, 867, 10872, 348, 560, 273, 686, 16317, 17, 1207, 17766, 497, 2695, 21286, 17, 273, 5955, 3886, 39706, 560, 275, 19280, 8908, 38024, 19, 29118, 17, 18172, 677, 26104, 18, 4007, 21635, 302, 346, 742, 5717, 322, 5123, 1389, 1598, 10355, 14, 353, 1425, 2545, 10365, 523, 20921, 311, 273, 26522, 497, 11623, 6160, 1486, 46276, 18734, 1358, 616, 78, 19, 204, 673, 387, 26366, 3386, 8322, 295, 5468, 271, 316, 24690, 17, 928, 1489, 311, 275, 2989, 427, 6129, 17, 529, 4883, 448, 275, 3477, 677, 1901, 3287, 6596, 302, 5005, 2351, 26645, 283, 494, 395, 301, 19, 7954, 275, 24690, 770, 2648, 1429, 302, 275, 1533, 10562, 17, 275, 9794, 302, 275, 2388, 529, 1950, 18, 2024, 37090, 292, 6797, 17, 19919, 299, 1702, 32277, 21832, 448, 275, 23134, 17, 275, 48549, 17, 275, 2747, 30655, 17, 275, 27203, 19615, 17, 329, 1686, 1128, 657, 19, 1547, 677, 1236, 1622, 51, 3278, 402, 286, 449, 865, 867, 3237, 38826, 22308, 288, 70, 5167, 448, 10428, 275, 2688, 677, 17294, 9004, 10912, 1065, 897, 19732, 322, 48550, 8316, 560, 1838, 3052, 9582, 659, 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, 1101, 275, 3397, 7597, 353, 3848, 12925, 303, 4498, 348, 273, 1627, 302, 26645, 300, 8734, 19, 204, 673, 18298, 329, 1163, 283, 494, 395, 301, 529, 1682, 1451, 311, 275, 3566, 523, 11047, 1233, 329, 931, 17, 329, 11261, 2905, 329, 2153, 17, 440, 5094, 7163, 3848, 311, 444, 20198, 19, 334, 378, 947, 1120, 29784, 719, 311, 1199, 1880, 523, 275, 4904, 497, 1132, 31, 2188, 311, 681, 31, 2188, 17, 827, 630, 368, 31, 2188, 17, 928, 353, 45117, 275, 25317, 8740, 24458, 2280, 19, 35322, 447, 29481, 38504, 1120, 3074, 2481, 292, 19280, 7830, 630, 1233, 31, 2188, 17, 329, 529, 1425, 2755, 560, 824, 292, 5589, 329, 9464, 348, 273, 2311, 302, 10549, 1880, 19, 3839, 2138, 353, 38751, 1003, 14584, 2353, 19, 2169, 789, 0, 3728, 353, 275, 2089, 348, 275, 1869, 700, 302, 273, 741, 1048, 361, 36, 204, 204, 673, 1869, 700, 302, 273, 741, 283, 1048, 437, 3091, 551, 70, 17, 308, 66, 353, 4310, 448, 31, 204, 8515, 17546, 96, 75, 98, 289, 688, 1209, 3164, 339, 1859, 70, 98, 35014, 71, 98, 283, 13, 93, 14, 4992, 98, 463, 71, 18, 70, 3572, 3266, 204, 204, 1449, 14444, 808, 311, 275, 5641, 2318, 1007, 361, 17, 572, 618, 3074, 275, 2689, 448, 275, 3091, 551, 70, 17, 308, 66, 7881, 361, 19, 5028, 2501, 311, 770, 808, 353, 311, 3074, 275, 2689, 24208, 41061, 31, 204, 8515, 4169, 1859, 72, 688, 633, 41494, 6785, 2277, 1209, 96, 22, 1134, 23, 72, 2277, 339, 35019, 72, 8611, 72, 283, 13, 93, 6239, 13299, 37317, 96, 73, 98, 93, 3266, 204, 204, 1834, 2089, 3629, 273, 2501, 311, 7072, 275, 1869, 700, 302, 273, 741, 1048, 361, 17, 1101, 490, 677, 3287, 311, 4806, 496, 490, 1741, 508, 4501, 1337, 17, 2219, 348, 7346, 3263, 19, 18160, 17, 275, 722, 1741, 2979, 523, 1662, 275, 2689, 353, 4768, 19, 204, 204, 3070, 1763, 17, 348, 273, 741, 440, 273, 11339, 5312, 523, 361, 17, 275, 1869, 700, 1120, 444, 500, 19, 17570, 3263, 1120, 874, 273, 1869, 1936, 311, 1017, 741, 700, 19, 3355, 17, 348, 904, 3263, 17, 1702, 448, 686, 74, 5373, 70, 97, 89, 97, 7078, 275, 1869, 700, 1741, 444, 500, 17, 928, 1741, 521, 1741, 508, 444, 30562, 19, 204, 204, 3837, 677, 1425, 9631, 21214, 496, 275, 1869, 700, 302, 273, 741, 1048, 273, 3403, 3091, 551, 70, 17, 308, 66, 618, 3472, 44490, 2637, 448, 275, 1302, 302, 275, 3091, 7529, 19, 6263, 17, 490, 677, 508, 4199, 2075, 273, 388, 4132, 7, 1869, 700, 1784, 444, 348, 1702, 3263, 1048, 275, 5641, 2318, 1007, 361, 19, 0, 647, 4305, 204, 647, 1127, 204, 531, 4305, 532, 14131, 204, 531, 1498, 532, 783, 17, 1061, 204, 531, 16235, 19, 1234, 19, 761, 532, 636, 68, 3342, 204, 531, 16235, 19, 2182, 19, 804, 19, 804, 68, 3766, 532, 23783, 12885, 5418, 204, 531, 16235, 19, 2182, 19, 2182, 68, 3766, 532, 31988, 6056, 2108, 17641, 204, 531, 16235, 19, 2182, 19, 3766, 19, 34290, 386, 68, 82, 68, 73, 4739, 532, 3839, 72, 386, 12688, 4739, 3648, 204, 531, 16235, 19, 2182, 19, 2127, 19, 34290, 386, 68, 82, 19, 5433, 532, 22284, 38332, 68, 4082, 204, 531, 16235, 19, 1234, 19, 5678, 532, 8111, 2940, 204, 204, 761, 289, 636, 68, 3342, 374, 204, 204, 23405, 68, 3344, 289, 379, 1624, 19, 2182, 19, 3766, 19, 34290, 386, 68, 82, 68, 73, 4739, 12, 204, 204, 24188, 68, 7190, 68, 3951, 289, 388, 41, 12633, 22, 7793, 37133, 3699, 19, 3039, 7, 204, 29146, 68, 3951, 289, 388, 41, 12633, 22, 7793, 37133, 3699, 19, 20755, 7, 204, 28163, 68, 6355, 68, 3951, 68, 22, 289, 379, 7976, 41, 12633, 2300, 2051, 45046, 1036, 19, 3039, 12, 204, 28163, 68, 6355, 68, 3951, 68, 23, 289, 379, 7976, 41, 12633, 68, 1625, 68, 672, 19, 3039, 12, 204, 204, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 289, 368, 204, 5551, 68, 28163, 68, 5048, 4552, 18949, 289, 681, 204, 204, 676, 3839, 72, 386, 12688, 12633, 3648, 12885, 5418, 13, 3648, 12885, 5418, 330, 204, 264, 320, 204, 264, 11919, 683, 9617, 348, 3839, 72, 386, 12688, 12633, 3648, 19, 204, 204, 264, 1058, 683, 9617, 11208, 4109, 13761, 348, 275, 3839, 72, 386, 12688, 12633, 3648, 17, 2864, 204, 264, 2707, 6673, 17, 424, 21925, 17, 329, 2872, 18912, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 719, 275, 683, 1964, 19, 204, 204, 268, 1058, 1216, 353, 3250, 2518, 848, 683, 1216, 311, 758, 719, 275, 3600, 204, 268, 1586, 329, 4764, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 268, 370, 19, 12944, 68, 1087, 289, 463, 204, 305, 31988, 6056, 2108, 17641, 19, 23966, 29545, 68, 23405, 31, 21604, 38155, 68, 3344, 17, 204, 305, 31988, 6056, 2108, 17641, 19, 23966, 29545, 68, 16212, 31, 443, 204, 268, 1211, 204, 204, 264, 436, 1451, 68, 553, 13, 327, 17, 2049, 31, 394, 17, 2291, 31, 394, 289, 379, 87, 534, 393, 726, 31, 204, 268, 320, 204, 268, 3594, 273, 510, 292, 275, 1713, 2291, 19, 204, 204, 268, 457, 31, 204, 305, 2049, 322, 325, 330, 334, 588, 302, 275, 510, 311, 1451, 19, 204, 305, 2291, 322, 325, 330, 334, 2291, 292, 928, 311, 1451, 275, 510, 322, 2305, 31, 379, 87, 3930, 204, 204, 268, 475, 31, 204, 305, 726, 31, 334, 11771, 510, 726, 19, 204, 268, 320, 204, 268, 407, 1451, 13, 865, 19, 546, 19, 1541, 13, 35257, 68, 4082, 17, 2049, 659, 2291, 14, 204, 204, 264, 436, 838, 68, 12944, 68, 3766, 13, 327, 17, 510, 68, 4103, 31, 726, 14, 393, 3839, 72, 386, 12688, 4739, 3648, 31, 204, 268, 320, 204, 268, 666, 437, 3839, 72, 386, 12688, 4739, 3648, 348, 21593, 424, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 4103, 322, 1386, 330, 334, 510, 2906, 311, 2252, 19, 204, 204, 268, 475, 31, 204, 305, 3839, 72, 386, 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, 12688, 4739, 3648, 31, 334, 1966, 1732, 19, 204, 268, 320, 204, 268, 407, 3839, 72, 386, 12688, 4739, 3648, 13, 327, 19, 12944, 68, 1087, 17, 510, 68, 4103, 17, 370, 19, 4108, 68, 6197, 14, 204, 204, 264, 436, 683, 68, 11174, 68, 3689, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 5594, 529, 4073, 1151, 329, 3634, 497, 273, 424, 510, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 16766, 9191, 15521, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 1300, 659, 10028, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 268, 370, 19, 1858, 1218, 2803, 13, 327, 19, 4108, 68, 6197, 68, 876, 17, 10336, 204, 204, 264, 436, 683, 68, 481, 68, 42052, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 4488, 424, 497, 273, 510, 1174, 273, 424, 21925, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 15521, 42067, 387, 33381, 1452, 20229, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 28163, 68, 6355, 68, 3951, 68, 22, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 22, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 1300, 659, 10028, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 2978, 13, 1796, 13, 327, 19, 4108, 68, 6197, 68, 876, 659, 10028, 68, 28163, 68, 5048, 4552, 18949, 14, 204, 204, 264, 436, 683, 68, 7976, 68, 5192, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 437, 2710, 353, 21061, 1330, 275, 510, 588, 1583, 508, 918, 273, 4521, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 15521, 42067, 18956, 28098, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 28163, 68, 6355, 68, 3951, 68, 23, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 440, 370, 19, 11164, 13, 12342, 2940, 330, 204, 485, 1732, 19, 505, 68, 7485, 13, 22, 14, 204, 204, 264, 436, 683, 68, 11174, 68, 3689, 68, 32814, 68, 9648, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 3634, 5594, 2216, 275, 1812, 1563, 292, 273, 10044, 510, 19, 204, 268, 320, 204, 268, 711, 19, 4561, 611, 39136, 28788, 10044, 15521, 564, 29127, 534, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 1858, 68, 16745, 13, 1300, 17, 10044, 68, 3951, 17, 22284, 38332, 68, 4082, 14, 204, 268, 370, 19, 1858, 1218, 2803, 13, 327, 19, 4108, 68, 6197, 68, 876, 17, 10336, 204, 204, 264, 436, 838, 68, 20755, 68, 553, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 10044, 510, 3310, 311, 437, 2641, 21593, 1485, 19, 204, 268, 320, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 24188, 68, 7190, 68, 3951, 14, 448, 510, 68, 4103, 31, 204, 305, 1732, 289, 370, 19, 1510, 68, 12944, 68, 3766, 13, 553, 68, 4103, 14, 204, 305, 722, 289, 1732, 19, 505, 68, 7485, 13, 5551, 68, 28618, 68, 24188, 68, 7190, 68, 3951, 14, 204, 305, 370, 19, 16790, 68, 633, 68, 20755, 13, 1300, 17, 10044, 68, 3951, 14, 204, 204, 264, 436, 7299, 68, 633, 68, 20755, 13, 327, 17, 9312, 31, 783, 64, 1665, 648, 2049, 31, 394, 17, 2291, 31, 394, 289, 379, 92, 534, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 9312, 311, 273, 10044, 510, 19, 204, 204, 268, 457, 31, 204, 305, 9312, 322, 1218, 64, 1665, 1037, 334, 9312, 311, 2281, 19, 204, 305, 2049, 322, 325, 330, 334, 588, 302, 275, 10044, 510, 19, 204, 305, 2291, 322, 325, 330, 334, 2291, 292, 928, 311, 1451, 275, 510, 322, 2305, 31, 379, 92, 3930, 204, 268, 320, 204, 268, 440, 370, 19, 3664, 68, 553, 13, 2029, 17, 2291, 14, 448, 44131, 31, 204, 305, 44131, 19, 2206, 611, 4603, 8563, 83, 534, 204, 305, 44131, 19, 2206, 499, 264, 7299, 68, 1386, 31, 379, 29872, 1334, 8761, 83, 431, 204, 305, 44131, 19, 2206, 499, 264, 7299, 68, 932, 31, 379, 29872, 1334, 8761, 83, 431, 204, 305, 44131, 19, 2206, 611, 481, 8563, 83, 534, 204, 305, 348, 296, 17, 7299, 292, 3209, 13, 16745, 330, 204, 485, 7299, 68, 873, 289, 7299, 19, 4776, 68, 873, 374, 204, 485, 44131, 19, 2206, 611, 226, 338, 906, 998, 31, 1564, 73, 65, 83, 12, 1564, 322, 78, 16, 22, 602, 204, 485, 44131, 19, 2206, 611, 264, 7299, 68, 1386, 31, 1564, 88, 65, 83, 12, 1564, 7299, 3925, 676, 18421, 417, 4422, 204, 485, 44131, 19, 2206, 611, 264, 7299, 68, 932, 31, 1564, 88, 65, 83, 12, 1564, 7299, 68, 873, 19, 505, 611, 4509, 68, 417, 3063, 204, 485, 44131, 19, 2206, 611, 264, 7599, 68, 5192, 31, 1564, 75, 65, 83, 12, 1564, 7299, 68, 873, 19, 505, 611, 15517, 68, 5192, 3063, 204, 485, 348, 679, 292, 7299, 68, 873, 19, 505, 611, 1309, 4448, 204, 895, 397, 2381, 13, 577, 19, 505, 611, 876, 2008, 818, 330, 204, 2058, 44131, 19, 2206, 611, 264, 1564, 88, 31, 1564, 1845, 19, 26, 75, 65, 83, 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, 12, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 895, 1677, 2381, 13, 577, 19, 505, 611, 876, 2008, 394, 330, 204, 2058, 44131, 19, 2206, 499, 264, 1564, 88, 31, 11307, 88, 8761, 83, 7, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 895, 902, 31, 204, 2058, 44131, 19, 2206, 611, 264, 1564, 88, 31, 1564, 88, 65, 83, 12, 1564, 322, 577, 19, 505, 611, 876, 68, 359, 2008, 679, 19, 505, 611, 876, 22090, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 4305, 19, 660, 374, 204, 0, 35359, 24908, 17, 334, 6867, 1607, 25328, 204, 673, 445, 8904, 20519, 19780, 204, 9024, 830, 275, 29253, 302, 275, 361, 27151, 18, 18263, 30579, 5102, 322, 31229, 316, 16714, 281, 31001, 2468, 659, 275, 1051, 928, 1784, 2765, 10724, 275, 1259, 292, 1163, 1956, 348, 12918, 867, 275, 15939, 302, 1622, 1933, 798, 302, 47429, 508, 34628, 560, 275, 16714, 3582, 10932, 302, 808, 20393, 18918, 904, 717, 4840, 302, 47429, 17, 329, 1901, 302, 1475, 1466, 21758, 756, 311, 275, 11810, 302, 22684, 1613, 19, 334, 1043, 329, 560, 4935, 275, 8595, 717, 2139, 302, 12918, 867, 275, 445, 8904, 20519, 19780, 19, 204, 673, 3773, 302, 273, 7672, 5025, 867, 508, 717, 311, 275, 43367, 1680, 521, 275, 11810, 19, 1158, 1932, 1233, 17, 275, 348, 270, 350, 1570, 311, 275, 361, 27151, 18, 18263, 30579, 5102, 17, 2080, 1917, 348, 1855, 273, 6323, 7582, 5025, 329, 273, 7672, 5025, 17, 1101, 22714, 311, 1605, 18893, 4368, 73, 41483, 3498, 292, 1163, 23335, 19, 334, 11810, 302, 22684, 1613, 13567, 4569, 9037, 4840, 302, 47429, 17, 2864, 273, 1622, 12053, 5025, 1001, 521, 1622, 38838, 18484, 88, 1001, 5025, 928, 1784, 1622, 6774, 348, 4355, 5025, 17712, 3582, 6787, 334, 1622, 55, 27151, 10234, 1001, 3217, 46, 1133, 5846, 311, 798, 275, 1622, 55, 27151, 18, 18263, 30579, 3478, 1001, 3217, 31476, 3250, 348, 273, 19867, 7582, 521, 9093, 5025, 17, 1101, 808, 17, 4440, 17, 2887, 440, 4382, 22714, 329, 867, 8143, 497, 275, 2423, 361, 27151, 18, 18263, 30579, 10234, 19, 4168, 25042, 16714, 281, 31001, 2468, 867, 6666, 43396, 17, 275, 6646, 448, 311, 2075, 3003, 302, 18893, 311, 36123, 867, 1824, 311, 275, 43367, 1680, 19, 204, 12124, 3857, 1466, 38750, 292, 12056, 275, 361, 27151, 18, 18263, 30579, 5102, 31, 322, 22, 14, 4916, 12918, 867, 4331, 311, 7116, 275, 6863, 20117, 523, 275, 1259, 47355, 32, 329, 322, 23, 14, 808, 4916, 12918, 1856, 508, 3891, 497, 4355, 47429, 19, 592, 275, 3200, 302, 11019, 299, 348, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 31001, 17, 1910, 36204, 2080, 18915, 292, 6972, 302, 273, 27761, 7672, 5025, 19, 10146, 275, 25081, 43367, 1026, 19780, 18019, 2080, 13037, 273, 970, 2847, 27761, 7672, 5025, 292, 1163, 2556, 302, 9923, 7500, 17, 39439, 19, 9769, 1547, 353, 508, 20428, 8405, 17, 496, 1877, 275, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 31001, 17, 273, 27761, 7672, 5025, 867, 1622, 5477, 497, 275, 13344, 2553, 336, 43367, 1680, 3582, 10360, 204, 837, 275, 7591, 719, 20953, 577, 302, 275, 11128, 33104, 17, 490, 7117, 4382, 27799, 311, 37359, 273, 7672, 5025, 292, 275, 4744, 22265, 88, 19, 29502, 17, 37055, 747, 560, 275, 1259, 884, 88, 9104, 24754, 16188, 17, 24468, 22264, 361, 27151, 329, 11810, 19723, 23644, 10866, 30579, 7168, 275, 11810, 292, 16783, 1070, 275, 5025, 19, 4161, 10228, 1916, 17, 39439, 17, 2202, 1194, 1051, 2699, 1877, 15690, 302, 275, 361, 27151, 18, 18263, 30579, 5102, 17, 273, 27761, 7672, 5025, 6357, 17, 25042, 16173, 1598, 1641, 17, 867, 12009, 1025, 275, 10224, 25042, 560, 46246, 361, 14660, 471, 19, 7338, 299, 19, 6917, 16689, 17527, 1048, 275, 2233, 17, 275, 25042, 329, 23423, 43660, 523, 970, 18, 416, 18, 389, 18, 9441, 2847, 17, 329, 275, 6357, 7568, 1855, 11522, 302, 275, 43367, 1680, 560, 273, 15064, 12163, 19, 27184, 22384, 696, 5498, 336, 3119, 275, 21376, 17, 10228, 2019, 17, 39439, 17, 311, 1574, 275, 6357, 1025, 3938, 19, 1547, 9453, 1025, 2620, 9907, 368, 17, 2842, 1051, 3747, 5287, 17, 440, 275, 970, 18, 416, 18, 389, 18, 9441, 2847, 2233, 496, 867, 311, 2709, 6639, 3119, 10228, 368, 17, 43448, 19, 3065, 8344, 17, 275, 2233, 867, 311, 444, 38668, 311, 970, 2847, 19, 334, 11810, 302, 22684, 1613, 867, 4285, 311, 21991, 275, 717, 5025, 329, 867, 21601, 311, 1895, 1622, 17538, 5035, 329, 9883, 1702, 1747, 1372, 17, 27172, 12763, 17, 44145, 17, 329, 9535, 1372, 448, 490, 1741, 355, 547, 3600, 311, 31488, 1163, 9350, 329, 2811, 1163, 26844, 2617, 2617, 2617, 1001, 18006, 19, 334, 11810, 1784, 1425, 13290, 3626, 1493, 560, 48007, 375, 426, 9154, 7672, 5025, 11566, 560, 1163, 31136, 19, 204, 19150, 17844, 447, 17, 1422, 867, 5680, 22714, 630, 1043, 311, 275, 7672, 5025, 6357, 19, 1622, 673, 3060, 2969, 440, 928, 275, 7672, 5025, 3938, 867, 7568, 940, 39354, 1163, 4193, 35227, 3582, 19146, 334, 501, 2307, 329, 275, 24128, 24383, 17, 928, 12894, 4260, 437, 7582, 5025, 521, 1855, 437, 7582, 329, 7672, 5025, 17, 26986, 437, 47757, 22714, 311, 275, 6357, 19, 445, 8904, 375, 1466, 24359, 3626, 7098, 560, 275, 20393, 496, 275, 5025, 2549, 444, 7568, 523, 311, 275, 4943, 19, 3355, 17, 11084, 1877, 275, 27761, 7672, 5025, 9453, 1025, 2620, 17, 22714, 7988, 38826, 19, 9496, 1880, 1784, 874, 15366, 437, 7582, 5025, 1101, 275, 27184, 376, 15359, 336, 1702, 273, 3001, 19, 4168, 4355, 18893, 3756, 508, 10574, 292, 39439, 18, 5091, 17, 490, 867, 12551, 496, 275, 1259, 2080, 20032, 6651, 302, 14375, 19, 18911, 17, 5566, 44139, 273, 7672, 5025, 496, 1784, 444, 6469, 8907, 73, 624, 1147, 523, 3264, 18, 14188, 9172, 17, 2861, 5027, 18, 13235, 560, 275, 12645, 36, 3355, 17, 275, 7672, 5025, 867, 437, 15548, 2139, 302, 12918, 329, 2404, 302, 275, 21932, 1519, 348, 12918, 17, 830, 11160, 311, 3124, 521, 13776, 275, 7672, 5025, 5585, 19, 204, 673, 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, 20519, 19780, 5102, 21601, 275, 11810, 311, 34200, 8740, 311, 21991, 275, 717, 604, 18401, 17, 1101, 490, 47103, 336, 1475, 497, 9272, 3158, 19, 548, 656, 324, 8535, 867, 22685, 608, 1882, 3153, 12645, 2181, 17, 329, 20568, 2471, 4815, 73, 275, 11810, 311, 34200, 1017, 45173, 17, 1910, 302, 13117, 1466, 508, 22635, 348, 1017, 8499, 19, 334, 20519, 19780, 5102, 25317, 2327, 2847, 302, 275, 5025, 10831, 311, 436, 549, 275, 2264, 302, 16895, 19, 3355, 17, 275, 43367, 1680, 3415, 4735, 336, 2900, 8061, 1070, 1169, 5132, 348, 16895, 17, 754, 496, 1422, 1784, 874, 1742, 1236, 15174, 302, 275, 2548, 497, 9907, 311, 11261, 1466, 490, 508, 348, 275, 14741, 292, 275, 5102, 496, 2589, 400, 70, 7621, 1631, 10326, 273, 7672, 5025, 21064, 348, 1051, 19892, 19, 5610, 11810, 9700, 1466, 10242, 311, 11327, 3153, 7672, 5025, 34658, 19, 334, 42329, 302, 3153, 21064, 7672, 10872, 275, 9700, 884, 22492, 17, 1101, 275, 28480, 928, 21269, 275, 10293, 8941, 348, 808, 717, 2350, 2080, 311, 5498, 348, 1017, 5132, 3119, 275, 43367, 1680, 13344, 2553, 336, 292, 275, 5573, 19, 204, 673, 7672, 5025, 17720, 22279, 15987, 5362, 311, 21991, 630, 1043, 17, 1855, 2404, 275, 8740, 867, 292, 18292, 73, 17, 329, 2404, 275, 3566, 304, 767, 336, 275, 717, 5025, 19, 334, 10837, 17, 1622, 70, 45982, 348, 25152, 2301, 12906, 19359, 25222, 630, 27184, 12424, 22384, 696, 348, 23694, 275, 7672, 5025, 1025, 3938, 19, 3355, 17, 1704, 27799, 292, 8205, 754, 15250, 275, 7546, 794, 47768, 2842, 4948, 311, 275, 45076, 13071, 1324, 6467, 275, 1259, 497, 8497, 19805, 1882, 496, 3155, 302, 11312, 7591, 12645, 19, 204, 2954, 270, 25716, 1212, 18215, 313, 549, 16741, 2080, 5052, 275, 7672, 5025, 3938, 19, 38689, 1163, 769, 773, 430, 17, 566, 13112, 273, 8720, 302, 18538, 497, 275, 4639, 311, 6083, 273, 6610, 10225, 448, 19963, 302, 275, 20519, 19780, 19, 1144, 7092, 2772, 329, 29943, 1466, 21821, 21437, 37152, 19, 595, 3901, 87, 6603, 1004, 352, 12174, 275, 10266, 8740, 329, 867, 10242, 311, 1225, 523, 7672, 5025, 18134, 19, 204, 11630, 26967, 24144, 415, 32951, 769, 22847, 275, 13887, 302, 3566, 11445, 8774, 1415, 11504, 336, 2327, 9208, 13935, 311, 275, 11810, 311, 1340, 20966, 275, 1419, 9578, 4489, 560, 275, 16615, 1983, 5044, 302, 808, 717, 5025, 19, 334, 2327, 11445, 9700, 40188, 292, 33453, 273, 8740, 329, 7001, 273, 1561, 302, 16895, 19, 313, 549, 16741, 5287, 28396, 73, 1605, 4757, 348, 1017, 27883, 1225, 17, 12482, 4616, 496, 275, 11445, 8774, 1917, 1605, 13935, 311, 275, 1259, 630, 1236, 6979, 19, 204, 57, 549, 16741, 17, 1144, 7092, 2772, 17, 329, 595, 3901, 87, 6603, 1004, 352, 16819, 336, 1910, 4802, 19559, 311, 3288, 275, 717, 7672, 5025, 3938, 17, 1901, 302, 1475, 3848, 292, 2620, 19, 20462, 1605, 1466, 275, 16751, 344, 4090, 17, 275, 5914, 7157, 4090, 17, 329, 275, 7254, 1854, 884, 4090, 19, 204, 17601, 4576, 17, 1882, 39439, 329, 45076, 17, 1422, 867, 16890, 48223, 302, 275, 717, 7672, 5025, 17, 448, 3505, 9332, 4825, 8783, 29468, 44188, 5104, 497, 3761, 6376, 292, 904, 3584, 19, 2416, 8180, 668, 1702, 1417, 42274, 17, 313, 549, 16741, 17, 1144, 7092, 2772, 17, 329, 595, 3901, 87, 6603, 1004, 352, 16819, 336, 273, 732, 5025, 6357, 17, 928, 867, 43396, 1025, 3938, 292, 43448, 19, 1058, 1187, 302, 5025, 867, 5287, 17260, 560, 275, 904, 3584, 928, 31653, 273, 27761, 7672, 5025, 19, 592, 43674, 17, 275, 1729, 1659, 84, 302, 6820, 26770, 1286, 16819, 336, 273, 6357, 928, 867, 43396, 17, 21064, 1693, 904, 3584, 311, 732, 10224, 23387, 311, 5495, 18893, 523, 273, 18211, 7032, 19, 5610, 3584, 27128, 43396, 3557, 20187, 19, 204, 5019, 275, 1136, 302, 39439, 17, 313, 549, 16741, 1384, 266, 411, 5311, 1704, 1502, 448, 19963, 302, 275, 20519, 19780, 329, 8885, 311, 275, 4639, 311, 11524, 3101, 690, 19, 8879, 39439, 3119, 1704, 14319, 311, 275, 5140, 21682, 13932, 292, 24603, 17, 566, 13335, 448, 273, 44773, 311, 275, 11810, 523, 5025, 18134, 19, 204, 14884, 275, 7672, 5025, 867, 26968, 311, 444, 273, 3094, 2139, 302, 3171, 4331, 12918, 17, 275, 11810, 17514, 440, 9104, 9834, 275, 12918, 10418, 275, 1259, 1784, 9708, 440, 275, 407, 302, 22394, 311, 275, 3221, 5025, 17768, 523, 10137, 368, 17, 43448, 19, 334, 11810, 21071, 275, 27184, 311, 7023, 275, 7672, 5025, 2233, 311, 4516, 275, 16541, 1051, 18, 9441, 302, 1051, 2847, 9924, 292, 275, 7672, 5025, 2233, 292, 10228, 302, 43448, 19, 334, 11810, 9453, 754, 4935, 448, 311, 4627, 31, 204, 990, 15605, 397, 275, 7672, 5025, 353, 31317, 630, 1163, 3113, 2233, 17, 1422, 1120, 444, 1236, 12918, 497, 490, 928, 1741, 444, 1376, 311, 4066, 275, 686, 2188, 17, 1207, 17, 1207, 302, 8213, 11445, 18893, 18901, 311, 275, 24391, 17, 7850, 17, 329, 20617, 19, 334, 2712, 1283, 39890, 7582, 497, 4449, 6651, 329, 275, 3310, 45248, 348, 928, 275, 1259, 353, 19175, 756, 5913, 437, 14489, 299, 4362, 747, 31514, 884, 4368, 19, 3065, 1120, 444, 1236, 6836, 302, 275, 7672, 5025, 16368, 311, 3074, 275, 2481, 302, 275, 11445, 5025, 36681, 3582, 7776, 204, 673, 1259, 304, 31721, 336, 808, 2210, 1924, 275, 9932, 43396, 18893, 523, 6160, 329, 6323, 7582, 17, 928, 41834, 5387, 686, 2169, 17, 1207, 17, 1207, 841, 1324, 19, 204, 44, 2953, 16741, 17417, 472, 19, 6720, 391, 555, 29247, 440, 273, 824, 348, 273, 2327, 2847, 5025, 292, 1704, 13037, 43448, 9307, 19, 6917, 273, 29507, 17527, 292, 1855, 11522, 275, 7018, 43367, 1026, 18019, 523, 39835, 329, 19780, 344, 10290, 273, 2327, 2847, 7672, 5025, 17, 275, 20801, 6544, 302, 3117, 348, 2941, 9757, 17, 273, 732, 329, 5688, 5025, 329, 275, 1650, 302, 7672, 5025, 311, 1429, 604, 3710, 329, 12847, 1493, 19, 6537, 334, 43367, 1680, 8367, 1605, 14815, 440, 275, 15690, 302, 2327, 19904, 31, 275, 34814, 16173, 7514, 275, 5025, 2233, 311, 2327, 2847, 329, 47103, 336, 3117, 41129, 88, 32, 273, 1350, 6357, 4327, 604, 3710, 329, 12847, 1493, 2927, 292, 14029, 90, 302, 7672, 311, 275, 458, 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, 5025, 578, 9093, 32, 273, 4986, 17, 275, 732, 5025, 6357, 17, 31653, 273, 7672, 5025, 49004, 311, 29279, 10342, 292, 497, 7066, 275, 1259, 19, 5610, 2327, 19904, 6802, 6639, 10228, 368, 17, 43448, 19, 204, 673, 11810, 884, 88, 8474, 867, 8628, 22886, 17, 8578, 311, 275, 732, 5025, 928, 490, 2080, 10290, 19, 12694, 6975, 26590, 2556, 18377, 31, 204, 990, 673, 1974, 19780, 5102, 869, 27704, 1163, 8784, 302, 21019, 10224, 27761, 375, 523, 1936, 3099, 440, 1017, 685, 18, 522, 18, 1512, 40649, 3582, 16964, 204, 1834, 35093, 344, 3756, 508, 17, 5862, 17, 8108, 275, 10424, 302, 275, 11810, 13431, 275, 3117, 41129, 88, 20801, 6544, 19, 11554, 41129, 88, 2080, 6327, 35357, 348, 16504, 18, 18338, 2847, 302, 275, 7672, 5025, 18484, 88, 292, 275, 1043, 16504, 18, 13554, 5869, 329, 17, 3126, 8280, 15502, 17, 275, 11810, 1093, 1637, 5311, 17, 19542, 45226, 31, 204, 990, 1480, 74, 16363, 17, 19065, 5256, 1330, 6028, 26925, 17, 1120, 798, 273, 376, 23063, 6596, 36151, 275, 7562, 2292, 302, 275, 3001, 17, 329, 1120, 903, 35363, 275, 1259, 1818, 1025, 275, 4362, 10924, 16188, 884, 497, 928, 490, 867, 44762, 336, 440, 275, 28127, 302, 275, 20519, 19780, 5102, 3582, 15066, 204, 5019, 275, 1853, 302, 275, 12645, 17, 275, 1259, 23859, 1462, 275, 24391, 302, 1017, 15214, 348, 37210, 5798, 17, 14958, 6923, 496, 311, 530, 1153, 686, 2169, 17, 1207, 17, 1207, 22159, 19, 592, 1163, 1043, 1324, 17, 275, 9932, 43396, 7672, 5025, 7514, 686, 7378, 17, 2825, 17, 1207, 311, 16757, 1163, 717, 36704, 19, 592, 39439, 18, 5091, 17, 275, 1259, 22123, 686, 2188, 841, 32838, 292, 2480, 6450, 15063, 630, 20482, 8229, 17, 686, 2682, 841, 32838, 292, 10038, 8229, 19, 1547, 867, 275, 7672, 5025, 496, 6467, 275, 8229, 17, 329, 12527, 1475, 1451, 7870, 275, 12645, 19, 204, 3894, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 45137, 18, 1794, 2177, 19, 284, 19, 2958, 204, 9769, 9376, 302, 275, 25081, 43367, 1026, 19780, 18019, 322, 31229, 316, 11059, 39439, 14, 284, 19, 435, 29347, 19, 204, 7653, 382, 12746, 2458, 10964, 19, 571, 26407, 329, 9131, 4452, 204, 9783, 3505, 34962, 19, 322, 1794, 3268, 659, 556, 19, 931, 1036, 17, 284, 19, 30168, 30, 204, 9706, 12418, 9439, 17, 4360, 19, 7889, 19, 204, 3534, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 17, 39439, 18, 1794, 5091, 19, 284, 19, 2958, 204, 6537, 9376, 302, 275, 15091, 25081, 43367, 1026, 18019, 523, 39835, 329, 19780, 344, 17, 25042, 21397, 11059, 322, 18102, 2153, 17, 43448, 659, 284, 19, 1199, 4635, 204, 6074, 9376, 302, 275, 5140, 11810, 302, 22684, 1613, 17, 43448, 18, 1794, 3701, 17, 284, 19, 571, 0, 41012, 34893, 295, 29992, 867, 9596, 523, 11157, 5436, 17, 1916, 4049, 292, 10866, 953, 514, 271, 17, 415, 762, 493, 11151, 17, 39237, 19002, 1257, 32, 275, 9348, 302, 12424, 29992, 329, 12254, 5973, 295, 19, 204, 26679, 6757, 2080, 318, 9588, 13120, 497, 22511, 292, 1916, 4635, 329, 2090, 904, 28939, 28165, 17, 14996, 1704, 1922, 630, 21156, 19, 3355, 17, 490, 867, 508, 1704, 14101, 17, 754, 566, 17243, 1704, 2501, 9116, 3859, 329, 19410, 10266, 6171, 19, 3846, 1675, 566, 14996, 1704, 1922, 630, 35189, 17, 12637, 275, 4316, 292, 8497, 48203, 19, 204, 5019, 275, 2523, 302, 14372, 17, 13275, 8287, 830, 275, 22042, 523, 1704, 1629, 1922, 292, 273, 11373, 440, 273, 14944, 299, 5525, 322, 22, 659, 928, 2927, 273, 14214, 292, 21156, 13337, 17, 329, 440, 5680, 5132, 17, 33464, 4542, 2914, 19, 204, 4259, 44910, 5175, 1704, 8453, 17, 12254, 34893, 295, 867, 273, 6556, 329, 9002, 10506, 1415, 48200, 496, 566, 7137, 273, 3094, 5798, 19, 6917, 30125, 415, 762, 493, 18924, 566, 5445, 273, 35900, 497, 275, 8689, 1424, 476, 1516, 11052, 311, 3220, 292, 22511, 17, 329, 523, 1704, 407, 867, 800, 275, 1621, 1282, 302, 1200, 19, 5188, 1947, 7650, 292, 28695, 403, 1474, 19, 204, 4259, 566, 867, 9002, 508, 311, 3014, 1704, 378, 21640, 440, 275, 3299, 6659, 329, 308, 43095, 9787, 17, 13713, 302, 1704, 15005, 17, 1101, 440, 437, 21212, 523, 275, 2140, 5337, 496, 13082, 2549, 7940, 19, 204, 44, 13849, 867, 6639, 292, 24177, 8978, 1417, 693, 22142, 5169, 311, 275, 4361, 3490, 302, 28695, 403, 1474, 19, 2474, 867, 8033, 292, 275, 2945, 302, 275, 8452, 348, 275, 17604, 541, 17, 275, 28695, 403, 1474, 30221, 348, 275, 1998, 3723, 329, 412, 420, 17, 275, 12817, 884, 88, 9114, 329, 9183, 20522, 6513, 10556, 6410, 17, 275, 13448, 480, 364, 543, 884, 9114, 17, 275, 28695, 403, 1474, 31458, 8452, 17, 275, 28695, 403, 1474, 7287, 9212, 2550, 85, 624, 557, 17, 329, 275, 20524, 18598, 884, 88, 10927, 12496, 17, 329, 13972, 980, 5132, 348, 1475, 19, 837, 904, 2159, 17, 2090, 16706, 2301, 35333, 17, 566, 448, 19565, 311, 273, 4361, 43705, 19, 204, 837, 4998, 17, 1200, 29034, 884, 88, 11052, 6300, 273, 3226, 9737, 557, 17, 12424, 387, 19, 16843, 476, 17, 1415, 1917, 17712, 311, 275, 8602, 329, 25851, 275, 33055, 44144, 348, 275, 9114, 3275, 19, 3846, 29992, 3756, 508, 2506, 1702, 5994, 275, 3210, 311, 4005, 358, 275, 5726, 378, 33130, 1708, 302, 275, 11031, 19, 2474, 678, 4988, 283, 5246, 447, 311, 1704, 378, 21640, 302, 41422, 329, 8158, 22220, 523, 275, 3633, 302, 22175, 329, 7695, 329, 30368, 14247, 4757, 1415, 2927, 5132, 560, 468, 360, 2655, 275, 7977, 302, 1017, 1994, 7650, 292, 794, 277, 2070, 3195, 94, 373, 335, 6464, 521, 10946, 29985, 630, 2941, 448, 273, 8776, 348, 16760, 630, 8469, 19, 322, 23, 14, 204, 5824, 6903, 1168, 17, 1916, 5645, 17, 566, 17470, 871, 1055, 705, 7422, 1013, 17, 16657, 302, 1051, 302, 275, 6043, 41422, 292, 275, 3226, 17, 1101, 490, 353, 3252, 496, 566, 10566, 388, 40933, 30442, 811, 3483, 329, 11278, 1091, 15987, 2948, 322, 24, 14, 204, 673, 11502, 1784, 874, 970, 2804, 32, 12247, 7422, 1013, 329, 13275, 17, 1415, 10564, 630, 275, 2523, 302, 1598, 19, 204, 41012, 34893, 295, 17243, 273, 26086, 17, 508, 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, 1698, 448, 273, 678, 3797, 17, 1101, 273, 38174, 14558, 523, 7546, 7993, 19, 592, 1916, 5645, 17, 1330, 39237, 19002, 1257, 867, 1093, 555, 22327, 20580, 311, 27886, 11134, 17, 29992, 21369, 336, 275, 3253, 17, 329, 1704, 24671, 27385, 440, 44340, 16319, 2026, 74, 1466, 46635, 19, 204, 3837, 353, 3252, 496, 2080, 29992, 508, 21061, 1704, 4835, 2308, 292, 18759, 302, 17567, 2586, 336, 11134, 17, 490, 1741, 508, 874, 4768, 2481, 1330, 490, 3756, 19, 3242, 311, 2026, 74, 17, 1422, 867, 1236, 2318, 5255, 24700, 329, 29992, 1784, 5287, 2281, 273, 31839, 299, 30751, 397, 1704, 40976, 557, 19, 25926, 17, 1704, 9348, 17, 12247, 7422, 1013, 1784, 1425, 2799, 334, 38115, 4761, 302, 39237, 19002, 1257, 31, 332, 36664, 1548, 302, 16319, 2026, 74, 17, 448, 1085, 302, 275, 36664, 3950, 302, 11053, 19, 204, 4259, 13275, 34893, 295, 29992, 867, 508, 10689, 5800, 299, 17567, 3511, 19, 592, 1916, 7653, 17, 566, 12736, 5229, 11053, 31, 204, 8604, 497, 275, 20268, 18254, 311, 275, 15217, 18254, 17, 440, 275, 20983, 17, 2864, 45245, 6914, 17, 21056, 19585, 9646, 44421, 6712, 17, 1415, 36264, 275, 5143, 302, 275, 17567, 15217, 43773, 19, 29992, 677, 2016, 18254, 311, 18254, 322, 2132, 9783, 14, 867, 1051, 302, 275, 1043, 5337, 496, 11771, 275, 9621, 302, 46472, 311, 275, 700, 302, 275, 38577, 23650, 1250, 25623, 19, 2474, 6202, 8287, 437, 10931, 17, 3855, 292, 275, 8136, 28194, 521, 523, 275, 6280, 17, 302, 30648, 523, 1704, 32105, 496, 275, 8595, 5094, 348, 11053, 1639, 292, 23554, 440, 275, 3022, 302, 275, 8105, 18831, 32, 329, 1704, 9055, 3584, 1486, 4995, 24243, 2927, 3850, 437, 13704, 928, 30117, 302, 830, 15193, 1466, 42950, 311, 12742, 19, 322, 24, 14, 7002, 292, 1916, 6074, 17, 448, 28020, 302, 18878, 677, 4639, 17, 566, 1425, 1824, 1704, 2434, 19, 10910, 311, 275, 4639, 677, 3346, 12400, 31, 204, 44, 13849, 353, 275, 1901, 3287, 302, 830, 18878, 677, 21719, 1493, 19, 8833, 12178, 292, 1704, 2344, 1194, 1169, 18878, 677, 28020, 2518, 521, 3522, 17, 29992, 7834, 275, 12347, 292, 1704, 2019, 2181, 302, 16675, 322, 2132, 6074, 18, 1794, 5559, 14, 497, 273, 28166, 4447, 1872, 10692, 1025, 273, 8175, 6838, 9463, 19, 322, 25, 14, 41012, 34893, 295, 29992, 10564, 292, 8503, 14042, 523, 6903, 931, 17, 1433, 5559, 204, 39538, 7422, 1013, 29992, 204, 44, 13849, 884, 88, 1901, 28362, 19034, 353, 18878, 884, 88, 17, 1273, 17, 448, 13439, 560, 552, 862, 70, 6856, 288, 392, 905, 1424, 17, 566, 1622, 574, 1704, 6323, 2434, 2617, 2617, 2617, 754, 292, 285, 1825, 447, 496, 1163, 3511, 292, 1704, 690, 869, 7510, 311, 444, 5052, 292, 6323, 3099, 3582, 4596, 275, 1136, 302, 1704, 3307, 17, 1622, 8124, 454, 705, 11453, 8503, 1001, 2080, 14534, 46635, 20882, 19, 204, 2152, 673, 22070, 19763, 337, 9008, 5129, 791, 629, 6455, 28710, 419, 17, 1415, 7988, 1704, 14214, 630, 18878, 884, 88, 17, 10869, 302, 29992, 496, 1622, 286, 867, 7301, 1236, 2637, 1085, 302, 275, 5798, 496, 18878, 884, 88, 11278, 311, 19611, 440, 273, 1064, 302, 1702, 40891, 88, 17, 1702, 933, 329, 1702, 7546, 22269, 19, 2617, 2617, 2617, 15490, 17, 13513, 17, 3175, 2317, 2428, 29992, 2075, 872, 1120, 32, 566, 6467, 275, 4639, 497, 19972, 48203, 448, 30696, 448, 566, 3756, 497, 8497, 32, 329, 17, 440, 830, 1704, 18113, 17, 1704, 9920, 17, 1704, 1142, 17, 1704, 44450, 17, 1466, 28609, 3582, 322, 23, 14, 204, 39538, 7422, 1013, 29992, 867, 9596, 523, 11639, 435, 17, 1916, 7653, 292, 28695, 403, 1474, 17, 39237, 19002, 1257, 17, 275, 9348, 302, 13275, 34893, 295, 29992, 329, 871, 1055, 705, 7422, 1013, 19, 2474, 1784, 3472, 273, 12406, 630, 36408, 4639, 329, 28020, 302, 22558, 11053, 12661, 19, 204, 6031, 17470, 7364, 1230, 31416, 31042, 9849, 266, 523, 9815, 368, 17, 41240, 17, 329, 1250, 2080, 3420, 2804, 31, 39242, 5973, 295, 17, 6679, 516, 7422, 1013, 17, 871, 1055, 705, 388, 38, 2708, 271, 7, 329, 13275, 9849, 266, 19, 204, 39538, 7422, 1013, 10564, 523, 11788, 571, 17, 43448, 19, 204, 673, 5898, 22169, 302, 275, 13288, 31, 204, 30891, 14810, 292, 275, 4744, 1433, 427, 6129, 867, 273, 2481, 302, 3171, 13618, 703, 362, 19, 346, 95, 290, 41127, 8392, 17, 7239, 273, 3094, 4316, 1064, 17, 867, 437, 292, 38001, 319, 11707, 17, 329, 1330, 5024, 26241, 685, 566, 9453, 311, 1370, 26426, 5976, 302, 24654, 18134, 630, 2941, 19, 204, 7002, 1335, 16765, 867, 630, 5024, 17, 1422, 867, 437, 7599, 5024, 6432, 2481, 523, 1910, 42533, 3450, 19, 334, 32602, 32447, 21490, 88, 302, 2747, 288, 17, 2080, 18887, 292, 526, 76, 385, 88, 17, 448, 275, 12464, 1880, 1466, 3303, 6183, 311, 444, 8944, 273, 1681, 1460, 24500, 311, 3074, 1048, 275, 2688, 19, 332, 3284, 432, 37068, 7117, 2481, 17, 329, 348, 3153, 1415, 19509, 311, 9291, 17, 10167, 18, 56, 17406, 2643, 867, 22685, 608, 329, 3667, 23637, 19, 59, 351, 2230, 422, 32113, 266, 20580, 275, 32624, 3704, 5024, 17, 329, 5976, 867, 24842, 273, 850, 5024, 19, 7954, 3905, 5809, 3938, 17, 566, 10365, 523, 13627, 3623, 18, 47938, 2910, 17, 1273, 566, 18503, 19488, 311, 275, 15411, 33379, 1372, 12, 24336, 18, 24894, 2407, 19, 3242, 273, 722, 566, 7001, 273, 7546, 1561, 566, 3250, 32113, 266, 2643, 17, 928, 867, 8699, 448, 273, 43688, 10854, 26381, 2643, 329, 3667, 13018, 311, 448, 32113, 266, 18, 17664, 93, 2643, 19, 204, 59, 351, 2230, 422, 867, 292, 34846, 630, 275, 690, 302, 275, 11788, 17451, 496, 10946, 275, 346, 95, 290, 41127, 8392, 355, 6100, 17, 1101, 440, 275, 1340, 302, 275, 27409, 17, 566, 867, 5096, 311, 636, 21404, 1818, 311, 16765, 311, 5157, 292, 275, 24280, 3122, 76, 302, 24448, 89, 19, 204, 7020, 275, 1136, 302, 275, 8517, 7387, 37912, 437, 32212, 1283, 3353, 17185, 329, 4361, 2156, 7196, 273, 20393, 281, 4886, 17, 18596, 311, 7546, 20146, 17, 560, 4141, 273, 9412, 72, 6800, 2547, 18, 13486, 336, 23137, 329, 15995, 19, 204, 4237, 17, 808, 717, 4886, 5585, 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, 292, 1085, 2404, 1250, 17228, 311, 3524, 1017, 18768, 292, 275, 11128, 6482, 17, 329, 275, 4722, 5032, 10891, 17, 6666, 24465, 46543, 292, 275, 11261, 17451, 496, 10946, 275, 565, 2319, 267, 2925, 80, 4886, 1683, 32113, 266, 6061, 2347, 17, 329, 275, 3477, 867, 21061, 1025, 9272, 5024, 19, 204, 5824, 9907, 2468, 17, 34098, 275, 1526, 302, 275, 13699, 295, 6164, 4583, 14751, 867, 33057, 11013, 17, 329, 273, 1784, 444, 33057, 266, 14996, 329, 5585, 311, 3074, 685, 32113, 266, 19, 592, 400, 281, 7908, 1910, 5131, 302, 275, 23516, 4316, 329, 3153, 41556, 311, 275, 13153, 14348, 17, 273, 4328, 18, 272, 3763, 557, 2955, 17, 1466, 16522, 719, 329, 32220, 19, 204, 5824, 11047, 887, 17, 34098, 17, 2019, 24551, 4757, 6027, 275, 2941, 302, 3398, 415, 629, 81, 42785, 349, 533, 4681, 842, 18843, 269, 705, 91, 329, 1704, 14310, 8896, 34922, 37230, 4473, 70, 30976, 3298, 2146, 24570, 19, 415, 629, 81, 867, 32220, 329, 8923, 440, 4328, 18, 272, 3763, 557, 25396, 17, 830, 3256, 756, 348, 5156, 19, 204, 6031, 2080, 1742, 275, 5798, 25713, 630, 275, 32624, 13932, 17, 1101, 867, 273, 29102, 3084, 1516, 23910, 302, 1429, 3210, 19, 42253, 275, 39909, 302, 2830, 4316, 329, 8120, 17, 37230, 4473, 291, 8367, 2830, 19435, 38796, 1704, 5367, 19, 3846, 490, 19395, 2964, 3119, 273, 27952, 4799, 14006, 496, 415, 629, 81, 2080, 1742, 32220, 329, 867, 2545, 8923, 496, 1704, 29341, 7716, 19, 204, 673, 4799, 17, 44316, 496, 415, 629, 81, 2080, 1742, 38750, 292, 17080, 275, 11975, 1561, 292, 275, 3477, 17, 16398, 273, 2384, 24717, 329, 448, 273, 722, 275, 273, 5215, 415, 629, 81, 867, 4675, 311, 407, 311, 1704, 4316, 19, 204, 4237, 17, 1250, 1466, 20185, 9795, 430, 336, 19, 12412, 2941, 867, 483, 8284, 19875, 29406, 2666, 17, 275, 2423, 4886, 11994, 380, 336, 622, 5235, 868, 5422, 1693, 2075, 867, 1824, 292, 1017, 2804, 677, 22962, 270, 2790, 375, 19, 204, 18226, 14107, 311, 35361, 15, 17, 1250, 11959, 22986, 292, 22558, 19477, 40782, 17, 43755, 17, 1273, 415, 629, 81, 1784, 407, 311, 1704, 1043, 8336, 32, 21156, 19, 415, 629, 81, 329, 37230, 4473, 291, 529, 4037, 3556, 448, 12971, 329, 392, 345, 88, 1257, 18843, 269, 7056, 75, 19, 6234, 10564, 292, 32272, 329, 275, 2991, 6751, 15576, 10869, 302, 2830, 5741, 292, 437, 3062, 26095, 379, 17856, 34922, 18843, 269, 7056, 75, 2625, 12971, 10564, 292, 27753, 19, 204, 5842, 302, 415, 629, 81, 677, 5544, 24354, 17, 13275, 32, 1784, 3437, 719, 311, 3472, 273, 2482, 16413, 17567, 24733, 1155, 329, 6323, 21437, 311, 275, 17567, 9963, 15268, 270, 292, 11343, 17, 28659, 1325, 32386, 15436, 19, 2474, 1784, 39631, 32386, 15436, 677, 300, 17019, 17, 2439, 4085, 29992, 17, 1415, 302, 3200, 867, 275, 16657, 302, 12247, 7422, 1013, 29992, 17, 11799, 4166, 329, 12892, 1805, 12926, 302, 13275, 34893, 295, 29992, 19, 204, 41012, 18843, 269, 7056, 75, 867, 1425, 275, 21437, 1683, 18, 4679, 557, 302, 1259, 348, 8348, 27088, 17, 1683, 6901, 3311, 599, 278, 71, 8203, 17, 329, 13972, 311, 47937, 437, 14898, 15474, 440, 11083, 28378, 19, 204, 41012, 18843, 269, 7056, 75, 17, 867, 275, 9217, 302, 18619, 18843, 269, 7056, 75, 17, 275, 1682, 2727, 25713, 302, 11053, 32, 4461, 13275, 34893, 295, 29992, 1704, 39927, 17, 1924, 1704, 8453, 2439, 4085, 32, 275, 300, 17019, 302, 275, 27184, 9592, 630, 275, 690, 17, 28659, 1325, 32386, 15436, 19, 204, 6031, 12098, 311, 13275, 18843, 269, 7056, 75, 3168, 348, 15048, 523, 273, 35100, 1887, 348, 1704, 566, 88, 6279, 523, 41276, 13022, 5024, 14057, 19, 388, 46, 14996, 311, 1895, 3850, 3126, 5167, 18843, 269, 7056, 75, 3252, 17, 388, 12964, 560, 44791, 11053, 311, 437, 18235, 7136, 4719, 35171, 1561, 17, 566, 2080, 12308, 273, 860, 3083, 4263, 292, 273, 6684, 1609, 7510, 15491, 523, 275, 13022, 2622, 617, 3343, 204, 5876, 599, 278, 71, 8203, 10571, 18843, 269, 7056, 75, 496, 566, 10497, 1742, 6976, 1153, 560, 275, 9604, 1025, 41693, 275, 565, 509, 13202, 18, 39, 10167, 18, 48176, 29404, 551, 12964, 10741, 275, 10252, 295, 46975, 66, 2549, 732, 17835, 19984, 5323, 273, 7319, 496, 27181, 292, 275, 3469, 302, 830, 6678, 19, 1346, 10407, 2585, 302, 565, 509, 13202, 17, 275, 565, 509, 13202, 18, 38, 17, 867, 16583, 302, 974, 17835, 5024, 14057, 17, 1101, 3311, 599, 278, 71, 8203, 2080, 43253, 18596, 11053, 311, 275, 13022, 18, 6593, 565, 509, 13202, 18, 39, 19, 388, 673, 2344, 566, 15536, 28527, 3007, 5167, 18843, 269, 7056, 75, 3252, 17, 388, 267, 3358, 39851, 523, 273, 3200, 928, 7168, 311, 275, 23382, 302, 13022, 19984, 3343, 204, 42955, 269, 7056, 75, 17, 9504, 273, 47064, 2318, 337, 17, 867, 1425, 437, 22329, 269, 352, 578, 21369, 302, 940, 13469, 430, 17, 329, 566, 20320, 311, 1308, 3311, 599, 278, 71, 8203, 440, 273, 2089, 496, 566, 2549, 732, 440, 28378, 292, 28827, 12429, 275, 4789, 18, 266, 1668, 5262, 4405, 302, 11053, 677, 11836, 1502, 523, 5024, 14057, 19, 334, 5832, 71, 2351, 24733, 1155, 13037, 496, 275, 2727, 25713, 4627, 566, 1784, 6083, 5024, 14057, 523, 970, 4042, 31, 1043, 17, 397, 1422, 1466, 7018, 3326, 292, 1017, 732, 5323, 273, 7018, 3326, 302, 3311, 599, 278, 71, 8203, 677, 4539, 4790, 32, 329, 1350, 17, 1698, 397, 437, 830, 18, 607, 7214, 630, 940, 13469, 430, 1466, 17434, 1043, 329, 397, 17, 630, 275, 1136, 17, 490, 867, 9002, 496, 1422, 2549, 444, 1236, 5634, 19, 204, 13203, 2089, 1784, 6584, 3311, 599, 278, 71, 8203, 1429, 690, 329, 490, 4230, 2590, 24217, 40632, 292, 11053, 17, 2219, 397, 490, 23617, 2964, 292, 11248, 19, 388, 30039, 4199, 18, 3533, 11566, 867, 508, 1085, 302, 3311, 599, 278, 71, 8203, 677, 6797, 5167, 18843, 269, 7056, 75, 5287, 16261, 336, 19, 322, 27, 14, 204, 5876, 599, 278, 71, 8203, 677, 1553, 728, 440, 871, 39685, 353, 12551, 311, 444, 7029, 17, 292, 1085, 17, 348, 1704, 1873, 10561, 19, 18619, 18843, 269, 7056, 75, 677, 42257, 13275, 9849, 266, 29992, 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, 867, 273, 7801, 607, 3311, 599, 278, 71, 8203, 24684, 19, 38689, 1704, 32305, 594, 566, 10869, 273, 2016, 1164, 480, 5034, 1765, 273, 28339, 17, 41693, 496, 11053, 1784, 3303, 444, 14219, 685, 311, 275, 548, 19, 56, 19, 334, 2016, 6802, 273, 15403, 311, 11053, 677, 1824, 17, 15250, 275, 3718, 496, 13275, 9849, 266, 867, 273, 852, 21264, 10927, 19, 322, 28, 14, 204, 7002, 490, 353, 808, 5665, 496, 18619, 18843, 269, 7056, 75, 1120, 444, 6432, 440, 3850, 448, 11707, 302, 808, 3477, 19, 2474, 353, 508, 388, 9476, 22864, 7, 448, 275, 31152, 375, 4894, 17, 1101, 353, 311, 275, 3060, 20976, 17, 273, 17567, 19, 204, 3070, 7008, 21125, 10547, 6860, 3850, 1051, 302, 275, 1913, 1607, 1880, 311, 9573, 448, 437, 8924, 8140, 31, 204, 7, 40494, 18843, 269, 7056, 75, 19, 6917, 13217, 292, 14825, 329, 275, 548, 19, 56, 2458, 275, 11394, 19972, 8885, 311, 1704, 11525, 11053, 329, 6802, 1526, 302, 275, 8721, 5382, 9094, 19, 828, 273, 10684, 13071, 353, 3250, 292, 9300, 17, 566, 2549, 3472, 275, 1682, 2727, 25713, 17, 329, 275, 17567, 1526, 302, 1259, 440, 275, 16933, 8924, 3680, 3522, 415, 40777, 10442, 1230, 2854, 3343, 204, 673, 4166, 7157, 6644, 292, 415, 40777, 10442, 1230, 2854, 677, 42691, 2352, 19, 334, 17225, 10428, 31, 388, 38, 6607, 17762, 3475, 21107, 29547, 630, 11343, 8452, 302, 32338, 382, 7178, 2113, 440, 18619, 18843, 269, 7056, 75, 17, 9348, 302, 26476, 17567, 24733, 1155, 13275, 18843, 269, 7056, 75, 3343, 322, 29, 14, 18619, 508, 1698, 14720, 630, 275, 11343, 8452, 302, 32338, 17, 1101, 1425, 23747, 17, 19804, 17, 22070, 329, 275, 4639, 302, 17058, 17, 4751, 5261, 19, 204, 3837, 677, 508, 3094, 5256, 311, 7493, 23861, 1880, 496, 275, 42708, 4886, 1631, 1307, 17, 1101, 572, 1425, 874, 311, 5190, 46472, 5805, 329, 8965, 311, 8732, 292, 19, 204, 15, 7609, 25377, 9008, 25881, 94, 329, 480, 8349, 19779, 7387, 1425, 33292, 497, 275, 42549, 1882, 275, 15411, 17451, 17, 10358, 2772, 292, 18442, 19, 9008, 25881, 94, 480, 913, 617, 705, 91, 842, 677, 14310, 36021, 329, 9348, 2747, 6484, 2925, 94, 17, 2080, 33292, 440, 3850, 17, 329, 11959, 1250, 2927, 1017, 2501, 311, 565, 13849, 9646, 30888, 17, 1273, 3420, 1182, 2804, 1784, 444, 9596, 31, 27376, 276, 17, 46704, 6033, 94, 17, 471, 80, 1133, 4732, 17, 329, 30838, 5352, 19, 204, 18558, 22265, 4042, 292, 1017, 2941, 2706, 2080, 13586, 329, 36021, 12894, 311, 407, 17, 1101, 9008, 25881, 94, 15366, 311, 9291, 292, 11053, 17, 754, 275, 4316, 5289, 19, 2474, 1784, 1675, 39631, 273, 27343, 17154, 17, 12254, 302, 415, 359, 46174, 3450, 78, 17, 42549, 17, 329, 1250, 1784, 874, 273, 9348, 6860, 33829, 1415, 1784, 11959, 874, 273, 9348, 6860, 19988, 656, 17, 1415, 1784, 3437, 719, 311, 444, 275, 8595, 373, 36572, 2061, 496, 7921, 13069, 19, 204, 22, 19, 959, 9997, 391, 363, 29386, 31, 10109, 1611, 657, 292, 6994, 302, 11053, 17, 560, 18619, 18843, 269, 7056, 75, 17, 415, 36049, 20002, 17, 10599, 17, 14297, 31, 25128, 18, 21, 18, 27, 3894, 18, 7788, 48729, 18, 30, 17, 415, 76, 19, 9039, 204, 23, 19, 501, 7816, 57, 17, 31965, 1452, 3249, 26109, 2267, 17, 6881, 302, 17567, 11270, 1944, 543, 17, 45499, 18, 1794, 1003, 322, 14562, 1504, 19850, 14, 204, 24, 19, 13275, 34893, 295, 29992, 17, 15222, 204, 25, 19, 334, 22219, 13275, 5973, 295, 29992, 322, 2132, 4049, 18, 1794, 5559, 659, 18878, 677, 20643, 204, 26, 19, 334, 15411, 27755, 17, 4596, 31, 18619, 18843, 269, 7056, 75, 17, 415, 36049, 20002, 17, 28309, 17, 14297, 31, 25128, 18, 21, 18, 2300, 18, 24, 2314, 27986, 18, 23, 17, 415, 76, 19, 31693, 18, 37005, 204, 27, 19, 28378, 2343, 3311, 599, 278, 71, 8203, 31, 673, 6487, 728, 7054, 8717, 8479, 2416, 38281, 273, 12893, 17, 4596, 22133, 81, 1333, 44355, 17, 36524, 280, 953, 416, 2343, 10866, 30579, 17, 21809, 17, 14297, 31, 500, 18, 6074, 1003, 18, 5645, 1641, 18, 30, 17, 415, 76, 19, 1607, 18, 10986, 204, 28, 19, 9997, 391, 363, 29386, 17, 18843, 269, 7056, 75, 17, 10599, 17, 415, 76, 19, 16595, 18, 26332, 204, 29, 19, 42691, 2352, 17, 4596, 415, 40777, 42086, 363, 10442, 1230, 2854, 17, 36524, 280, 953, 416, 2343, 10866, 30579, 17, 21349, 17, 14297, 31, 500, 18, 6074, 1003, 18, 6007, 5303, 18, 26, 17, 415, 76, 19, 10688, 0, 97, 41990, 84, 18734, 323, 40736, 3742, 673, 2427, 530, 41376, 338, 435, 97, 204, 97, 53, 1887, 13233, 3742, 40, 13355, 18734, 323, 3742, 29037, 2427, 530, 41376, 382, 3742, 3103, 3782, 97, 204, 29037, 2427, 530, 41376, 382, 322, 6950, 84, 1453, 1516, 14, 204, 29037, 2427, 530, 41376, 8392, 322, 38, 386, 1516, 18, 3027, 14488, 14, 204, 35734, 2427, 530, 41376, 382, 9963, 2427, 530, 41376, 14, 204, 35734, 2427, 530, 41376, 8392, 322, 10981, 18, 9313, 530, 41376, 14, 204, 16014, 1662, 275, 283, 675, 1017, 26912, 273, 901, 31, 204, 38, 353, 10048, 19, 565, 353, 508, 19, 204, 35395, 565, 353, 37443, 17, 382, 303, 879, 4627, 204, 9024, 1182, 36000, 1194, 332, 2617, 2617, 2617, 204, 4259, 1856, 332, 841, 1282, 36, 204, 13203, 1856, 566, 5187, 204, 13203, 353, 17, 14958, 382, 3315, 565, 19, 204, 582, 12247, 387, 19, 501, 27661, 17, 334, 502, 3278, 5802, 204, 38, 3554, 13849, 308, 4089, 358, 309, 7774, 354, 6464, 17, 3556, 448, 468, 728, 2156, 17, 27694, 2427, 530, 41376, 40808, 19, 3665, 618, 1020, 1182, 1483, 17, 448, 2590, 448, 1567, 328, 2018, 1417, 402, 1178, 329, 685, 1633, 49018, 17, 292, 275, 11056, 523, 275, 27153, 1453, 1516, 329, 275, 332, 386, 1516, 19, 8278, 17, 1877, 1429, 841, 21241, 963, 35690, 17, 572, 7188, 6186, 311, 3074, 719, 275, 28314, 302, 3161, 4342, 288, 302, 26638, 44295, 17, 275, 819, 1375, 773, 28121, 1098, 1493, 19, 1785, 7253, 523, 1098, 1493, 17, 508, 1698, 2404, 1250, 529, 3287, 5319, 17, 1101, 1425, 311, 19200, 275, 4263, 302, 24290, 13727, 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, 11091, 19, 204, 5399, 677, 275, 1844, 19, 592, 275, 3299, 3054, 5187, 12063, 2518, 17426, 521, 754, 5187, 1901, 8849, 12551, 496, 11091, 867, 18202, 15131, 560, 24369, 27956, 31, 275, 388, 47897, 4720, 292, 13720, 329, 4777, 92, 7, 3859, 302, 24702, 7156, 19, 19780, 271, 565, 10741, 332, 2404, 490, 867, 16599, 17, 308, 16739, 17, 329, 1182, 388, 2714, 3343, 40581, 3483, 17, 275, 17867, 3958, 3711, 275, 904, 2501, 17, 448, 6678, 22513, 23081, 496, 19259, 29341, 17, 7515, 17, 329, 8543, 3857, 11474, 437, 23980, 4263, 19, 15601, 17, 12717, 8119, 3053, 6481, 2589, 4960, 311, 13187, 496, 565, 10741, 332, 1698, 2404, 332, 867, 2861, 6186, 311, 42537, 292, 273, 1922, 14842, 348, 8543, 10769, 19, 1547, 353, 3303, 6028, 3060, 5726, 18385, 311, 378, 3143, 496, 565, 4230, 874, 1742, 4037, 630, 10080, 17, 521, 1182, 388, 2714, 5167, 1194, 332, 17, 521, 2219, 311, 29784, 496, 332, 329, 565, 6327, 7864, 336, 348, 10080, 19, 204, 3837, 1741, 444, 3277, 841, 1387, 516, 17, 521, 275, 3718, 496, 572, 529, 5726, 18, 3294, 14725, 329, 8235, 22144, 756, 17, 1101, 490, 353, 26744, 496, 1605, 970, 5020, 302, 275, 21209, 302, 11091, 2842, 11616, 311, 5966, 275, 11975, 12717, 8119, 3053, 302, 10998, 16315, 17, 448, 490, 869, 7716, 1048, 275, 2181, 19, 11453, 29755, 1178, 529, 40511, 5293, 2404, 754, 3171, 302, 808, 9206, 6965, 311, 444, 1048, 16075, 37004, 17, 6216, 1194, 6218, 19, 11328, 1429, 6016, 19, 828, 382, 4627, 496, 565, 353, 1182, 4185, 1194, 332, 17, 4230, 382, 1869, 496, 17, 560, 9151, 17, 275, 1964, 7716, 292, 273, 2501, 496, 30216, 565, 677, 14807, 1048, 332, 36, 28529, 17, 397, 382, 17929, 496, 332, 867, 2861, 4789, 18, 1549, 6149, 2518, 565, 10094, 292, 17, 11076, 2964, 565, 3848, 874, 311, 685, 18, 38001, 74, 346, 17, 412, 17, 329, 471, 348, 275, 1451, 13460, 36, 3242, 4501, 17, 572, 2887, 323, 335, 15987, 4516, 6432, 1169, 1502, 523, 275, 11750, 29449, 4738, 19, 334, 1844, 3237, 353, 496, 1855, 29449, 4738, 5111, 311, 444, 5202, 292, 275, 2501, 302, 273, 1182, 940, 671, 757, 316, 12130, 302, 275, 424, 19, 204, 3837, 11147, 685, 496, 2427, 530, 41376, 1098, 1493, 529, 437, 9764, 3220, 348, 1605, 5356, 348, 970, 10769, 19, 6867, 329, 46783, 17, 1429, 3060, 3094, 6709, 874, 1742, 3870, 1048, 275, 1673, 4542, 2181, 560, 1429, 6216, 16957, 7809, 19, 1547, 677, 18917, 311, 874, 3094, 424, 19, 10110, 17, 1422, 677, 1236, 34583, 496, 1098, 1493, 1466, 6216, 17598, 26638, 18, 3751, 375, 292, 275, 5287, 2427, 530, 41376, 329, 496, 468, 728, 337, 308, 4089, 1405, 13731, 275, 3466, 7341, 19, 2935, 618, 572, 4627, 1465, 13727, 329, 401, 18, 46351, 292, 808, 1561, 36, 204, 2310, 7253, 1043, 523, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 13797, 789, 4171, 9682, 1466, 14790, 12912, 292, 304, 18, 20411, 7187, 1429, 22959, 20675, 7486, 560, 42982, 80, 865, 14148, 23741, 311, 275, 2620, 302, 275, 1144, 57, 27621, 523, 1098, 1493, 19, 592, 275, 1352, 17, 1250, 9561, 4430, 275, 424, 6680, 292, 275, 4368, 17, 15131, 497, 3090, 1225, 2617, 1058, 1582, 21020, 29258, 26638, 13941, 7028, 322, 2572, 3735, 14, 329, 29258, 16434, 1048, 275, 3200, 302, 275, 23279, 84, 18734, 323, 19, 9076, 496, 275, 3948, 348, 26638, 21811, 2233, 353, 21895, 17, 754, 496, 275, 6556, 18001, 329, 37422, 292, 275, 26638, 21811, 1582, 529, 2219, 1182, 23470, 1194, 1250, 6743, 630, 1043, 44450, 19, 1765, 275, 2427, 530, 41376, 17, 29258, 16434, 11724, 273, 11992, 17, 1101, 10976, 21248, 2931, 19, 5468, 281, 26638, 21811, 867, 3264, 7870, 275, 2427, 530, 41376, 32, 1101, 490, 867, 18187, 2962, 1882, 275, 30247, 2427, 530, 41376, 17, 827, 630, 275, 3060, 1136, 302, 275, 3741, 19, 1765, 2077, 5356, 17, 275, 1182, 9764, 2679, 353, 275, 8200, 1283, 16434, 329, 21811, 19, 1765, 830, 6175, 827, 275, 30247, 2427, 530, 41376, 329, 19616, 42356, 17, 21811, 329, 16434, 529, 15087, 30165, 19, 1765, 275, 2753, 5672, 42377, 275, 30247, 2427, 530, 41376, 329, 19616, 42356, 17, 275, 3633, 353, 7563, 19, 2935, 677, 6186, 523, 36, 28090, 1194, 2073, 2077, 468, 22836, 4369, 2717, 17, 572, 1120, 6497, 278, 275, 27642, 17, 521, 630, 3406, 275, 9578, 17, 560, 15247, 3161, 22275, 94, 17, 10915, 1582, 31, 204, 5842, 302, 275, 1901, 2707, 11160, 311, 8335, 275, 719, 88, 329, 27346, 302, 26638, 18, 16058, 41474, 29604, 523, 17582, 17959, 18, 30832, 3188, 19, 4171, 970, 1381, 281, 319, 279, 657, 322, 19281, 7873, 329, 40144, 16339, 529, 31618, 2547, 3557, 329, 1741, 8776, 348, 848, 904, 292, 24314, 9901, 19, 1058, 11074, 869, 1429, 16031, 8622, 17, 3522, 275, 17959, 12336, 292, 275, 17959, 8318, 316, 322, 19281, 2328, 24, 14, 302, 31786, 1741, 444, 23663, 42201, 560, 30832, 19, 1058, 9493, 3821, 353, 3250, 2223, 18, 9973, 28405, 21584, 704, 19, 24791, 1182, 30708, 17, 17959, 8318, 316, 618, 42447, 504, 292, 1051, 302, 970, 3942, 17, 21584, 704, 329, 273, 26120, 704, 19, 4168, 30832, 4683, 529, 2223, 17, 273, 26120, 704, 353, 275, 44982, 24314, 798, 19, 332, 26120, 704, 353, 2202, 14353, 1194, 21584, 704, 19, 3355, 17, 18052, 496, 529, 5096, 311, 732, 273, 26120, 704, 874, 437, 12312, 1330, 30832, 4683, 529, 2223, 19, 1058, 353, 6680, 292, 275, 1582, 4166, 17, 22421, 497, 20225, 6455, 3772, 520, 19, 322, 24728, 789, 334, 1824, 4315, 5913, 17959, 4683, 329, 275, 30832, 20, 2837, 15988, 3726, 22563, 275, 5641, 3844, 291, 1841, 18734, 323, 19, 334, 1629, 4315, 5913, 275, 17976, 26638, 44295, 1048, 275, 1729, 3948, 19, 592, 9055, 17, 275, 29792, 1283, 18216, 3188, 329, 26638, 18, 12245, 9644, 353, 24003, 19, 791, 599, 18, 3751, 375, 5111, 311, 444, 22421, 311, 732, 4260, 21584, 704, 521, 273, 26120, 704, 292, 1017, 18335, 11470, 19, 4168, 275, 17959, 18, 30832, 3726, 3731, 17, 754, 770, 275, 26638, 18, 3751, 375, 19, 204, 4259, 12063, 273, 14392, 2909, 353, 32783, 10948, 19, 334, 388, 290, 10803, 29973, 7, 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, 819, 1375, 773, 28121, 1098, 1493, 5111, 311, 874, 3870, 16261, 8280, 2590, 292, 275, 15438, 2427, 530, 41376, 17, 830, 5337, 6028, 17, 8578, 292, 2013, 302, 275, 3718, 496, 17959, 4683, 1466, 630, 437, 830, 18, 834, 2223, 19, 20225, 6455, 3772, 520, 19, 2248, 275, 819, 1375, 773, 28121, 1098, 1493, 284, 2972, 299, 685, 1048, 275, 15438, 2427, 530, 41376, 17, 45117, 292, 958, 311, 9793, 18216, 3188, 19, 3846, 572, 874, 273, 9373, 329, 44005, 6797, 19, 10932, 302, 38573, 17, 572, 6571, 275, 11137, 302, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 4430, 440, 275, 424, 497, 20225, 6455, 3772, 520, 19, 348, 275, 23279, 84, 18734, 323, 19, 204, 673, 1563, 529, 9395, 38329, 19, 8879, 275, 7830, 302, 275, 23279, 84, 18734, 323, 17, 1629, 1924, 275, 15438, 2427, 530, 41376, 17, 830, 302, 2077, 5047, 529, 15087, 30165, 31, 29258, 16434, 17, 29258, 30978, 17, 329, 17959, 10879, 5187, 7510, 22890, 275, 7283, 302, 275, 20675, 302, 20225, 6455, 3772, 520, 19, 7054, 353, 17, 275, 1582, 5913, 496, 4744, 23279, 84, 18734, 323, 1098, 1493, 1466, 508, 10048, 440, 30832, 19, 2416, 275, 27804, 17, 29258, 16434, 329, 30978, 1696, 17959, 4683, 3060, 15087, 19, 3242, 440, 275, 16434, 20, 14449, 8245, 14299, 17, 808, 8200, 14646, 10867, 292, 275, 30247, 2427, 530, 41376, 19, 5512, 17, 1877, 275, 19616, 42356, 17, 275, 8200, 45157, 19, 48968, 329, 30978, 1696, 848, 904, 17, 440, 1855, 18348, 448, 17959, 4683, 5573, 19, 204, 2920, 770, 572, 8335, 830, 808, 36, 16575, 572, 17, 12063, 17, 874, 27425, 311, 11263, 12925, 13253, 302, 23524, 271, 3379, 329, 18995, 83, 2258, 275, 33338, 344, 311, 2909, 630, 275, 2641, 424, 36, 35305, 5086, 348, 496, 3303, 17, 382, 27383, 19, 204, 4259, 275, 1322, 353, 508, 10509, 3275, 19, 6867, 17, 572, 618, 488, 446, 10867, 275, 30978, 329, 16434, 14299, 19, 5468, 1493, 1336, 448, 1170, 40202, 329, 22621, 4840, 19, 1547, 353, 275, 22621, 4840, 5187, 521, 1429, 302, 1475, 5187, 496, 14863, 311, 4610, 26638, 30978, 19, 334, 424, 497, 1144, 543, 88, 2772, 2343, 9612, 271, 18, 56, 95, 47687, 2248, 12356, 496, 275, 2427, 530, 41376, 329, 19616, 13233, 1466, 6327, 19412, 447, 10048, 2666, 348, 819, 1375, 773, 28121, 1098, 1493, 17, 440, 7353, 1101, 21248, 7529, 292, 16434, 19, 3846, 17, 2075, 275, 424, 1425, 8956, 353, 496, 275, 30247, 2427, 530, 41376, 329, 30247, 19616, 42356, 1466, 7051, 3286, 1876, 2666, 348, 273, 4539, 24290, 322, 1551, 38440, 3807, 14, 1627, 302, 1098, 1493, 17, 275, 26638, 44295, 19, 204, 673, 21705, 11414, 348, 1605, 424, 353, 24369, 27956, 560, 468, 728, 2156, 19, 361, 728, 337, 16434, 7051, 36193, 756, 7830, 292, 332, 386, 1516, 18, 3027, 14488, 690, 329, 15413, 17, 45113, 447, 17, 630, 275, 1144, 57, 19, 334, 468, 728, 2156, 11076, 2964, 7801, 580, 819, 1375, 773, 48909, 17, 521, 5148, 1169, 6323, 7740, 728, 1110, 19, 3433, 2842, 7117, 719, 4308, 292, 437, 5992, 542, 302, 26638, 318, 2809, 4428, 19, 1547, 29642, 2964, 444, 273, 24429, 496, 1170, 40202, 1098, 1493, 10891, 311, 32019, 448, 2518, 19, 1058, 15342, 22890, 2404, 275, 3798, 867, 24369, 27956, 302, 273, 4539, 13200, 11317, 17, 508, 437, 8543, 7443, 276, 15685, 311, 1098, 1493, 8628, 19, 204, 7020, 496, 5665, 17, 275, 17959, 5825, 5814, 1182, 7211, 19, 1785, 1519, 1698, 38930, 275, 15241, 13771, 11132, 496, 15438, 23279, 84, 18734, 323, 1098, 1493, 1466, 30832, 49039, 19, 334, 424, 529, 7493, 311, 275, 27804, 19, 56, 836, 270, 773, 28121, 16434, 329, 30978, 1696, 275, 17959, 5825, 497, 275, 1043, 14748, 302, 819, 1375, 773, 48909, 17, 630, 275, 7830, 302, 275, 14531, 6405, 2833, 323, 17, 1629, 1924, 275, 27153, 1453, 1516, 19, 3355, 17, 275, 5348, 17959, 22780, 302, 332, 386, 1516, 18, 3027, 14488, 690, 3756, 508, 722, 292, 273, 3310, 22780, 292, 29258, 30978, 2404, 468, 728, 337, 13727, 867, 2861, 7830, 311, 3074, 5148, 17, 23963, 299, 275, 14626, 19, 334, 3700, 2679, 3332, 275, 1144, 57, 353, 9047, 273, 5660, 302, 4109, 6126, 17, 928, 2950, 8235, 444, 15241, 16781, 630, 808, 1870, 302, 22888, 8352, 19, 4171, 6126, 1784, 2255, 31, 204, 70, 14, 334, 1419, 13876, 2151, 302, 4569, 717, 9172, 302, 17705, 273, 26120, 704, 1098, 1493, 17, 1702, 448, 275, 472, 1079, 1128, 30490, 17, 4467, 416, 23166, 30490, 17, 329, 412, 409, 295, 8996, 953, 30490, 20225, 6455, 14259, 5224, 204, 71, 14, 334, 1144, 57, 27621, 5398, 32, 204, 72, 14, 334, 12844, 302, 468, 728, 337, 13727, 5229, 275, 1144, 57, 32, 204, 73, 14, 334, 37492, 9924, 292, 17959, 19046, 1048, 275, 9772, 18, 9313, 530, 41376, 32, 329, 204, 74, 14, 334, 6465, 10262, 302, 23279, 84, 18734, 323, 21584, 704, 1091, 70, 560, 346, 13355, 18734, 323, 273, 26120, 29973, 1091, 70, 19, 204, 673, 5533, 1007, 6965, 311, 444, 496, 17, 311, 275, 13066, 1051, 618, 7490, 8543, 329, 24369, 6126, 292, 808, 1561, 17, 1855, 529, 3287, 19, 3355, 17, 13727, 329, 8543, 6126, 1741, 444, 23954, 292, 1792, 3942, 329, 630, 1792, 2666, 19, 1547, 353, 9764, 496, 29258, 329, 468, 728, 337, 9644, 14417, 311, 401, 8038, 348, 1465, 2846, 5672, 292, 275, 15438, 2427, 530, 41376, 17, 45117, 560, 7921, 18, 7038, 270, 36307, 302, 275, 2755, 318, 2809, 1391, 19, 3355, 17, 630, 1429, 917, 17, 24369, 27956, 6802, 275, 17976, 2291, 19, 4171, 424, 4894, 496, 29258, 9172, 22421, 311, 10180, 273, 26120, 704, 3756, 508, 31060, 3119, 275, 1136, 302, 275, 23279, 84, 18734, 323, 19, 28475, 311, 496, 690, 17, 819, 1375, 773, 28121, 1098, 1493, 15366, 2223, 17959, 4683, 19, 4087, 17, 2427, 530, 41376, 18216, 26405, 2950, 8335, 1017, 38719, 292, 275, 3469, 302, 468, 728, 337, 13727, 19, 204, 24049, 31, 361, 728, 337, 26638, 4393, 18, 3769, 497, 275, 502, 7085, 47393, 48114, 6423, 6531, 4245, 302, 19804, 13961, 23830, 4639, 19, 204, 1119, 60, 36893, 29488, 19, 22219, 5329, 332, 16111, 36893, 26, 1845, 19, 6547, 3566, 4064, 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, 4222, 7705, 16738, 19, 204, 14884, 275, 871, 298, 2833, 323, 29101, 402, 302, 16590, 853, 17, 15664, 10340, 17, 329, 378, 49123, 10891, 17, 275, 1901, 23470, 11499, 1882, 275, 2427, 530, 41376, 17, 867, 275, 1043, 14748, 302, 275, 35986, 6415, 17, 275, 1969, 6369, 40628, 19, 4596, 275, 1136, 302, 275, 2427, 530, 41376, 17, 273, 542, 302, 7504, 4968, 4840, 2080, 21749, 19, 204, 38, 649, 271, 3379, 17, 444, 280, 7398, 3379, 1824, 659, 904, 309, 7774, 354, 4434, 1466, 20312, 17, 448, 1466, 14676, 1110, 17, 308, 4089, 1405, 329, 318, 366, 6484, 1915, 19, 25022, 717, 4119, 302, 471, 366, 6484, 1915, 6743, 1882, 808, 690, 17, 329, 275, 9172, 471, 48945, 912, 843, 427, 30490, 329, 387, 5430, 651, 30490, 3472, 20312, 19, 334, 6563, 16024, 760, 27510, 1869, 15589, 29241, 292, 16434, 19, 31288, 28455, 7011, 640, 1702, 448, 26122, 13347, 3472, 2323, 19, 5468, 1493, 1466, 302, 18187, 7504, 3003, 19, 21909, 357, 812, 2076, 478, 4119, 322, 34555, 4853, 1312, 812, 2076, 27510, 14, 6743, 19, 4171, 1228, 497, 830, 3090, 357, 812, 2076, 27510, 560, 2545, 15131, 34482, 467, 17440, 17, 329, 17, 2090, 275, 23279, 1312, 812, 2076, 27510, 17, 529, 8235, 5096, 311, 5794, 292, 49031, 14003, 19, 204, 673, 13832, 26037, 447, 401, 2096, 23524, 271, 19405, 3074, 523, 308, 32494, 272, 7687, 17, 928, 867, 630, 1051, 690, 25564, 311, 273, 1688, 302, 21548, 5623, 1213, 19, 1058, 6733, 353, 1236, 6397, 6028, 1097, 19, 592, 4998, 311, 794, 395, 2096, 23524, 271, 19405, 17, 329, 2519, 401, 2096, 4840, 17, 1855, 440, 3700, 297, 3818, 3758, 17, 1422, 529, 3153, 3003, 1193, 292, 4549, 302, 7136, 9916, 17, 29293, 17, 7149, 7266, 329, 13990, 16926, 292, 928, 275, 297, 3818, 18, 2604, 2080, 3472, 10341, 754, 496, 1250, 15087, 24896, 73, 3153, 302, 275, 6405, 2833, 323, 346, 5823, 269, 3379, 19, 4171, 529, 17, 16428, 17, 3250, 388, 37341, 18, 3078, 269, 3379, 2948, 204, 9313, 530, 41376, 40808, 529, 15131, 2927, 719, 302, 468, 728, 2156, 17, 12479, 308, 4089, 1405, 440, 1051, 13708, 18, 19918, 23542, 329, 275, 904, 8016, 311, 273, 2637, 42719, 18, 4995, 4147, 19, 332, 2875, 6555, 2549, 444, 273, 12047, 292, 1853, 19, 361, 728, 2156, 18918, 15641, 17, 1901, 15072, 440, 275, 1340, 302, 911, 799, 24462, 30358, 19, 334, 4744, 2427, 530, 41376, 4840, 2090, 5973, 1661, 15514, 329, 10143, 664, 89, 4732, 1466, 10741, 1882, 275, 5287, 2427, 530, 41376, 560, 552, 7895, 298, 3379, 17, 6738, 5815, 18, 33709, 14043, 1153, 496, 302, 361, 811, 1518, 1098, 1493, 19, 471, 48382, 292, 275, 26100, 3618, 17, 1605, 1466, 437, 3287, 1085, 302, 275, 17582, 15785, 19, 204, 44464, 8810, 1081, 48818, 3472, 20441, 3332, 275, 4876, 329, 6469, 8206, 275, 1136, 302, 275, 3155, 17, 329, 7504, 35948, 1425, 6743, 1882, 808, 690, 19, 204, 673, 14748, 302, 35986, 6415, 18198, 10596, 6839, 13025, 11091, 17, 448, 275, 6415, 1376, 18537, 348, 7911, 1961, 19, 8624, 7504, 4119, 302, 18537, 15580, 329, 7988, 311, 13876, 1204, 17, 2864, 275, 17294, 3556, 31474, 329, 41102, 19, 204, 47482, 497, 273, 2875, 37598, 302, 21108, 488, 7398, 865, 634, 7198, 3391, 33734, 311, 275, 4722, 1004, 37422, 302, 9292, 18, 14301, 501, 3954, 92, 6495, 17, 275, 41124, 4825, 529, 6717, 1698, 560, 4449, 4119, 1702, 448, 34841, 329, 4005, 555, 416, 375, 204, 673, 3811, 6335, 1257, 30513, 329, 21454, 84, 1439, 14, 529, 2323, 17, 329, 2255, 25833, 302, 1855, 7497, 329, 33678, 4119, 19, 5860, 17582, 4840, 42696, 23980, 1302, 17, 1702, 448, 275, 571, 12047, 2695, 1118, 6335, 19, 204, 673, 29217, 10034, 70, 18, 4995, 8257, 3486, 478, 2797, 1257, 529, 3171, 8016, 17, 1017, 24290, 4263, 2545, 4768, 560, 275, 7255, 555, 345, 322, 81, 46539, 329, 30374, 789, 5028, 1007, 302, 31836, 317, 46539, 31060, 1025, 31605, 8785, 17582, 4840, 17, 275, 6178, 5376, 22817, 402, 4913, 30490, 17, 440, 5466, 302, 719, 311, 931, 6166, 329, 1182, 19, 204, 673, 382, 366, 31805, 865, 4913, 1257, 529, 18198, 8016, 17, 440, 1698, 273, 2875, 4316, 35409, 5779, 2772, 1924, 311, 275, 4744, 1085, 302, 275, 5086, 2427, 530, 41376, 19, 1547, 353, 5508, 496, 1250, 1466, 17224, 311, 8649, 311, 275, 717, 5217, 18, 8057, 45647, 8810, 1081, 6830, 19, 3433, 10564, 685, 2482, 2518, 275, 2427, 530, 41376, 15413, 19, 204, 53, 793, 6369, 4913, 88, 529, 6717, 560, 273, 542, 302, 717, 4840, 17, 2864, 275, 23236, 15803, 9779, 30490, 17, 346, 449, 349, 3418, 4913, 30490, 17, 329, 12479, 2482, 18, 656, 17401, 471, 1253, 703, 3804, 298, 1915, 1824, 789, 204, 44464, 11672, 20301, 362, 4825, 471, 354, 2348, 1257, 14, 31060, 348, 275, 1043, 690, 17, 1335, 273, 542, 302, 1182, 19036, 23279, 15160, 1516, 4119, 3524, 19, 334, 8469, 11672, 20301, 3402, 8527, 685, 4744, 292, 275, 2427, 530, 41376, 19, 334, 8862, 265, 29355, 4042, 5862, 529, 3094, 4240, 348, 275, 11370, 18, 7309, 11672, 4434, 17, 1429, 302, 928, 322, 74, 19, 76, 19, 22473, 2809, 2348, 354, 17, 1998, 16800, 2348, 354, 14, 21851, 12479, 1302, 19, 4171, 31605, 8785, 11672, 20301, 3402, 22064, 2273, 333, 20559, 523, 20078, 557, 38972, 292, 275, 1729, 2501, 496, 3403, 7504, 11672, 20301, 3402, 1120, 27487, 437, 794, 76, 3432, 30137, 322, 17538, 448, 273, 27633, 4733, 521, 306, 22703, 2115, 742, 14, 496, 7881, 275, 2263, 311, 7475, 19, 204, 41, 21507, 88, 329, 11340, 204, 18365, 275, 871, 298, 2833, 323, 17, 275, 2427, 530, 41376, 18852, 353, 26476, 292, 275, 7458, 26317, 560, 275, 9920, 302, 4382, 38972, 17, 17582, 45781, 17, 329, 19731, 284, 476, 865, 4913, 88, 19, 8624, 717, 3003, 302, 38972, 21749, 630, 808, 690, 19, 20462, 275, 8595, 302, 275, 16401, 1372, 17, 275, 6563, 366, 6369, 4913, 88, 329, 24733, 3228, 1915, 10564, 685, 17, 1335, 717, 1533, 90, 2076, 478, 38972, 17, 12361, 275, 313, 12872, 865, 4913, 1257, 17, 10891, 311, 18390, 1282, 292, 501, 3954, 19505, 19361, 17, 1101, 6802, 10690, 292, 39522, 402, 1257, 19, 334, 903, 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, 756, 10866, 76, 865, 4913, 1257, 1466, 10741, 560, 275, 21723, 9739, 24915, 1346, 11825, 342, 3804, 44242, 19, 334, 23132, 269, 6147, 1257, 322, 42195, 336, 38972, 14, 21749, 329, 18390, 5311, 292, 3242, 78, 22794, 8495, 1101, 322, 784, 514, 497, 1051, 521, 970, 2717, 578, 4840, 14, 529, 7843, 13762, 19, 334, 415, 714, 94, 331, 19245, 865, 4913, 1257, 5111, 311, 874, 1742, 27280, 9122, 292, 3272, 19, 6393, 27277, 17, 275, 1901, 20312, 329, 17775, 302, 275, 2427, 530, 41376, 23312, 45648, 1466, 275, 794, 3040, 24915, 521, 83, 418, 760, 478, 38972, 17, 12361, 275, 2725, 2554, 5553, 696, 478, 2797, 1915, 329, 296, 9120, 291, 478, 2797, 1516, 2238, 17, 830, 302, 928, 12156, 45372, 2877, 12872, 3272, 19, 204, 32790, 275, 275, 2076, 478, 34482, 45648, 1422, 867, 437, 44043, 15046, 12772, 302, 3403, 329, 2637, 7464, 18, 4995, 4840, 17, 20313, 497, 275, 21108, 279, 33901, 478, 15977, 3804, 14414, 17, 12984, 865, 4913, 88, 17, 329, 15256, 87, 1311, 865, 4913, 88, 17, 1924, 275, 12168, 18, 25163, 46654, 18, 7924, 19180, 355, 266, 7113, 366, 1915, 311, 275, 7464, 18, 4995, 521, 83, 418, 509, 449, 865, 4913, 88, 329, 275, 769, 352, 10854, 414, 1705, 865, 4913, 88, 19, 2439, 25801, 1605, 12168, 311, 3403, 4840, 1466, 437, 29621, 933, 302, 11340, 329, 25850, 18, 4995, 14732, 32846, 19, 23624, 17, 1882, 275, 2427, 530, 41376, 490, 1784, 874, 1742, 13337, 311, 6721, 1273, 38972, 15413, 329, 11340, 7988, 17, 1702, 353, 275, 46954, 1283, 1475, 19, 204, 673, 11340, 5111, 311, 874, 22568, 275, 415, 476, 865, 4913, 88, 19731, 45781, 14, 5634, 3498, 311, 27621, 19, 3242, 275, 2427, 530, 41376, 23160, 3947, 275, 415, 476, 865, 4913, 88, 29241, 39868, 17, 3119, 630, 275, 1136, 302, 275, 3155, 1698, 1051, 521, 970, 995, 5823, 608, 21108, 4840, 322, 53, 476, 291, 40003, 17, 3386, 310, 95, 404, 395, 269, 37997, 14, 14893, 19, 204, 6350, 717, 30137, 4119, 1425, 15580, 1882, 808, 690, 17, 2864, 275, 2327, 7497, 4119, 302, 25948, 4188, 1325, 1493, 17, 28467, 398, 6624, 329, 1898, 363, 37970, 14, 928, 6743, 1882, 275, 4210, 2427, 530, 41376, 19, 204, 673, 2427, 530, 41376, 18, 57, 48064, 8146, 16148, 204, 673, 2427, 530, 41376, 329, 275, 5641, 23279, 84, 18734, 323, 867, 10342, 311, 437, 1136, 560, 1051, 302, 275, 8595, 3284, 1718, 46457, 302, 830, 690, 17, 275, 1144, 18, 57, 1643, 521, 11221, 23279, 84, 18734, 323, 27621, 19, 14614, 1051, 4315, 302, 830, 6555, 9172, 10564, 685, 17, 2864, 38972, 17, 1910, 17582, 45781, 17, 4569, 2238, 302, 4725, 70, 323, 11340, 17, 275, 23524, 271, 3201, 329, 1901, 444, 280, 7398, 704, 24266, 281, 760, 27510, 17, 468, 728, 337, 4777, 1015, 17, 329, 1910, 41985, 19, 204, 28813, 302, 10224, 13673, 302, 19616, 35201, 5187, 334, 2427, 530, 41376, 18852, 204, 673, 2427, 530, 41376, 18852, 204, 9313, 530, 41376, 2304, 13, 1719, 19, 30, 43322, 14, 204, 20329, 12367, 323, 2156, 570, 275, 2427, 530, 41376, 39784, 302, 12448, 204, 13936, 36625, 31, 3431, 366, 10948, 10750, 329, 15222, 874, 3094, 17, 3060, 16863, 6214, 523, 275, 2427, 530, 41376, 19, 2427, 530, 41376, 313, 2939, 19779, 32091, 34546, 94, 869, 10660, 23755, 34546, 323, 1483, 329, 1429, 10105, 19, 334, 5481, 11383, 11208, 7136, 4719, 23755, 34546, 94, 17, 630, 273, 2202, 13862, 1870, 19, 5610, 5337, 2427, 530, 41376, 869, 3060, 2590, 18, 39532, 5444, 329, 1429, 12076, 3821, 19, 1785, 1020, 275, 19309, 302, 275, 4245, 22144, 1070, 447, 297, 2477, 5187, 1101, 17, 1675, 17, 572, 529, 3060, 8235, 22144, 756, 19, 332, 16111, 21, 2682, 25934, 0, 9099, 275, 4628, 31, 4236, 20, 2177, 204, 204, 673, 2073, 353, 368, 19, 2416, 3126, 808, 17, 4030, 302, 6249, 448, 4854, 19, 592, 808, 1322, 17, 4236, 6167, 560, 4236, 9329, 368, 19, 4168, 275, 7145, 329, 5081, 529, 1936, 17, 275, 2073, 353, 4501, 368, 17, 14958, 1855, 529, 2140, 521, 1855, 529, 2917, 19, 828, 1051, 353, 2917, 17, 275, 2073, 1784, 444, 338, 22, 19, 204, 204, 3070, 1763, 17, 4236, 20, 2177, 11388, 311, 368, 20, 22, 17, 928, 9329, 368, 19, 3355, 17, 397, 275, 4628, 867, 4236, 20, 22, 17, 275, 2073, 1784, 444, 4236, 19, 716, 204, 837, 4303, 17, 1330, 4636, 440, 6249, 17, 490, 677, 6456, 311, 9356, 496, 275, 7145, 4504, 275, 542, 302, 4099, 17, 329, 275, 5081, 4504, 2075, 872, 529, 11375, 19, 1058, 3773, 618, 444, 6310, 311, 4998, 329, 904, 2758, 440, 6249, 19, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 531, 1498, 532, 5006, 17, 1884, 204, 531, 2573, 532, 5782, 204, 531, 48238, 532, 300, 31238, 204, 204, 8, 968, 3454, 204, 676, 19190, 730, 24323, 13, 325, 17, 5782, 330, 204, 264, 320, 5346, 348, 9524, 730, 1987, 1279, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 22, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 22, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 23, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 23, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 24, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 24, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 25, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 25, 7, 204, 264, 332, 5369, 5200, 68, 39, 19306, 8197, 2504, 68, 26, 289, 388, 4270, 1544, 39, 2020, 75, 3195, 26, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 22, 289, 388, 4270, 1544, 7753, 439, 271, 22, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 23, 289, 388, 4270, 1544, 7753, 439, 271, 23, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 24, 289, 388, 4270, 1544, 7753, 439, 271, 24, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 25, 289, 388, 4270, 1544, 7753, 439, 271, 25, 7, 204, 264, 332, 5369, 5200, 68, 4227, 4010, 1000, 68, 26, 289, 388, 4270, 1544, 7753, 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, 439, 271, 26, 7, 204, 264, 21060, 22357, 68, 42, 2959, 1053, 289, 388, 27078, 25835, 7, 204, 264, 39249, 22357, 68, 42, 2959, 1053, 289, 388, 10215, 1396, 25835, 7, 204, 264, 361, 6217, 3249, 68, 48, 3057, 10310, 68, 3787, 289, 388, 6552, 340, 47326, 3787, 7, 204, 264, 361, 6217, 3249, 68, 48, 3057, 10310, 68, 2985, 289, 388, 6552, 340, 47326, 2985, 7, 204, 264, 9080, 53, 6007, 24, 289, 388, 4701, 53, 6007, 24, 7, 204, 204, 676, 392, 420, 70, 11176, 88, 13, 325, 17, 5782, 330, 204, 264, 320, 5346, 348, 392, 420, 70, 14077, 1279, 204, 264, 10028, 11595, 68, 35002, 289, 388, 877, 70, 68, 10782, 7, 204, 264, 10028, 11595, 68, 14237, 27030, 289, 388, 877, 70, 68, 25457, 7, 204, 204, 676, 36433, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 2616, 9309, 3779, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 394, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 264, 741, 1164, 5006, 204, 268, 334, 741, 311, 2616, 19, 204, 264, 1988, 1164, 726, 204, 268, 334, 1988, 726, 19, 204, 204, 264, 10523, 31, 204, 264, 5555, 204, 264, 1660, 374, 204, 268, 10423, 273, 2875, 1660, 292, 275, 1988, 19, 204, 264, 1523, 13, 83, 34, 1003, 68, 1207, 14, 204, 268, 2466, 275, 1988, 348, 300, 3214, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 9524, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 275, 36433, 726, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 9524, 730, 1164, 19190, 730, 24323, 204, 305, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 268, 48238, 68, 10782, 1164, 1109, 204, 305, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 268, 320, 204, 268, 370, 19, 28917, 730, 289, 9524, 730, 204, 268, 370, 19, 877, 70, 68, 10782, 289, 48238, 68, 10782, 204, 268, 370, 19, 2539, 289, 370, 806, 18125, 68, 2539, 374, 204, 268, 370, 19, 7107, 289, 370, 806, 18125, 68, 7107, 374, 204, 204, 264, 436, 906, 18125, 68, 2539, 13, 327, 14, 393, 5006, 31, 204, 268, 320, 204, 268, 968, 275, 741, 311, 2616, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 5006, 204, 305, 334, 741, 311, 2616, 19, 204, 268, 320, 204, 268, 314, 20786, 392, 420, 70, 397, 508, 8905, 204, 268, 397, 508, 370, 19, 877, 70, 68, 10782, 31, 204, 305, 1127, 19, 4969, 1166, 15890, 47994, 1557, 68, 37287, 3285, 11595, 1339, 289, 388, 22, 7, 204, 822, 268, 314, 968, 275, 741, 974, 392, 420, 70, 204, 268, 1642, 83, 31238, 374, 204, 268, 436, 283, 13, 89, 31, 818, 17, 610, 31, 645, 19, 766, 17, 724, 31, 818, 14, 393, 645, 19, 766, 31, 204, 305, 320, 204, 305, 334, 741, 311, 2616, 19, 204, 204, 305, 4435, 31, 204, 305, 6036, 204, 305, 265, 1164, 818, 204, 485, 334, 690, 19, 204, 305, 610, 1164, 645, 19, 766, 204, 485, 334, 1259, 19, 204, 305, 724, 1164, 818, 204, 485, 334, 3918, 19, 204, 204, 305, 475, 31, 204, 305, 5555, 204, 305, 645, 19, 766, 204, 485, 334, 5442, 302, 275, 1259, 19, 204, 305, 320, 204, 305, 407, 724, 540, 610, 204, 204, 268, 314, 977, 275, 741, 204, 268, 906, 289, 283, 13, 21, 19, 21, 17, 645, 19, 269, 24713, 68, 22, 73, 13, 22, 19, 21, 659, 338, 21, 19, 3222, 14, 204, 268, 407, 283, 204, 204, 264, 436, 906, 18125, 68, 7107, 13, 327, 14, 393, 726, 31, 204, 268, 320, 204, 268, 968, 275, 1988, 726, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 726, 204, 305, 334, 1988, 726, 19, 204, 268, 320, 204, 268, 314, 4390, 275, 3600, 6500, 204, 268, 532, 17940, 80, 369, 204, 268, 497, 17940, 80, 369, 19, 14600, 35603, 532, 48238, 204, 204, 268, 314, 763, 275, 2755, 46773, 204, 268, 46773, 289, 463, 16448, 3925, 417, 29388, 11355, 348, 11355, 292, 17940, 80, 369, 19, 505, 68, 2880, 1387, 9447, 204, 204, 268, 314, 763, 275, 11355, 850, 204, 268, 11355, 68, 4621, 289, 46773, 64, 327, 19, 28917, 730, 19, 876, 66, 204, 204, 268, 314, 666, 275, 1988, 726, 204, 268, 407, 11355, 68, 4621, 13, 327, 19, 2539, 17, 500, 19, 21, 17, 645, 19, 269, 24713, 68, 22, 73, 13, 22, 19, 21, 659, 3737, 34, 2422, 21, 19, 3222, 18671, 373, 34, 21, 19, 3222, 14, 204, 204, 264, 436, 1660, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 10423, 273, 2875, 1660, 292, 275, 1988, 19, 204, 268, 320, 204, 268, 370, 19, 7107, 19, 2290, 374, 204, 204, 264, 436, 1523, 13, 327, 17, 300, 31, 421, 289, 931, 68, 1207, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 1988, 348, 300, 3214, 19, 204, 204, 268, 4435, 31, 204, 268, 6036, 204, 268, 300, 1164, 421, 17, 1448, 204, 305, 334, 542, 302, 3214, 311, 1523, 322, 2305, 353, 931, 68, 1207, 789, 204, 268, 320, 204, 268, 397, 370, 19, 877, 70, 68, 10782, 31, 204, 305, 370, 19, 7107, 19, 2290, 13, 83, 34, 83, 14, 204, 268, 902, 31, 204, 305, 348, 906, 292, 933, 13, 83, 330, 204, 485, 370, 19, 7107, 19, 2290, 374, 204, 204, 461, 3219, 68, 43293, 11051, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 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, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 407, 36433, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 204, 461, 690, 68, 43293, 11051, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 407, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 204, 461, 3219, 68, 834, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 264, 407, 11355, 204, 204, 461, 690, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 10782, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 10782, 1164, 1109, 204, 268, 2266, 311, 732, 392, 420, 70, 521, 508, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 834, 68, 75, 22, 68, 2922, 68, 2290, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 204, 461, 3219, 68, 834, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 3607, 31, 392, 420, 70, 11176, 88, 14, 393, 36433, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 8862, 719, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 3607, 1164, 392, 420, 70, 11176, 88, 204, 268, 334, 392, 420, 70, 2291, 311, 732, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 36433, 204, 268, 334, 47293, 36433, 726, 19, 204, 264, 320, 204, 264, 48238, 68, 10782, 289, 48238, 68, 3607, 2167, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 14237, 27030, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 10782, 14, 204, 264, 11355, 19, 2290, 374, 204, 264, 314, 39078, 719, 906, 83, 4593, 204, 264, 11355, 19, 2290, 13, 83, 34, 23, 14, 204, 264, 407, 11355, 204, 204, 461, 690, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 31, 19190, 730, 24323, 17, 48238, 68, 3607, 31, 392, 420, 70, 11176, 88, 14, 393, 443, 31, 204, 264, 320, 204, 264, 48030, 273, 36433, 726, 17, 3074, 273, 1660, 17, 8862, 719, 17, 329, 690, 490, 19, 204, 204, 264, 4435, 31, 204, 264, 6036, 204, 264, 9524, 730, 1164, 19190, 730, 24323, 204, 268, 334, 588, 302, 275, 9524, 730, 311, 732, 19, 204, 264, 48238, 68, 3607, 1164, 392, 420, 70, 11176, 88, 204, 268, 334, 392, 420, 70, 2291, 311, 732, 19, 204, 264, 320, 204, 264, 11355, 289, 3219, 68, 834, 68, 75, 22, 68, 1777, 1003, 80, 13, 28917, 730, 17, 48238, 68, 3607, 14, 204, 264, 11355, 19, 1777, 374, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 9524, 730, 289, 19190, 730, 24323, 19, 28782, 3249, 68, 48, 3057, 10310, 68, 2985, 204, 264, 48238, 68, 3607, 289, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 35002, 204, 264, 11355, 289, 3219, 68, 43293, 11051, 13, 28917, 730, 17, 48238, 68, 3607, 564, 392, 420, 70, 11176, 88, 19, 5551, 11595, 68, 35002, 14, 204, 264, 11355, 19, 1777, 374, 204, 0, 33460, 11543, 84, 716, 204, 12385, 31, 22427, 273, 1965, 6477, 497, 11077, 324, 605, 11339, 3416, 311, 11339, 25745, 19, 204, 204, 14426, 16889, 31, 204, 14342, 123, 289, 322, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 105, 20552, 105, 14, 204, 204, 31332, 288, 31, 204, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 204, 204, 23886, 302, 9048, 11543, 84, 31, 204, 204, 22, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 8473, 20552, 105, 17106, 46892, 204, 23, 19, 20552, 105, 17106, 46892, 22608, 248, 20552, 105, 11966, 628, 204, 24, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 8473, 20552, 105, 11966, 628, 204, 25, 19, 20552, 105, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 20552, 105, 11966, 628, 204, 26, 19, 24271, 123, 289, 322, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 105, 20552, 105, 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, 204, 27, 19, 36445, 228, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 20552, 105, 11966, 628, 8473, 24271, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 24063, 204, 28, 19, 322, 36901, 11072, 237, 14342, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 24063, 204, 29, 19, 322, 14342, 123, 472, 83, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 14, 204, 30, 19, 322, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 14, 204, 1003, 19, 322, 36901, 11072, 237, 8473, 322, 29299, 11966, 322, 20654, 11069, 36901, 14, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 602, 204, 1641, 19, 47387, 11966, 628, 204, 1258, 19, 322, 29299, 11966, 628, 8473, 322, 29299, 11966, 16001, 24271, 123, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 602, 204, 2353, 19, 322, 29299, 11966, 16001, 24271, 123, 22608, 248, 1960, 231, 47379, 11966, 5796, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 29299, 289, 20552, 105, 14, 204, 2300, 19, 322, 36901, 11072, 237, 8473, 322, 29299, 11966, 322, 20654, 11069, 36901, 14, 22608, 248, 47387, 11966, 16001, 24271, 123, 602, 204, 1909, 19, 322, 36901, 11072, 237, 8473, 322, 20654, 11069, 36901, 14, 289, 16001, 24271, 123, 14, 204, 1845, 19, 5796, 20654, 11069, 36901, 14, 289, 16001, 24271, 123, 8473, 322, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 602, 204, 2314, 19, 322, 36901, 11072, 237, 8473, 322, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 14, 22608, 248, 24271, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 3084, 24271, 123, 602, 204, 2132, 19, 322, 36901, 11072, 237, 14342, 123, 31, 1802, 7453, 246, 110, 45822, 15958, 10480, 14, 1960, 250, 463, 2768, 233, 1937, 4154, 15977, 16163, 13, 20654, 11069, 36901, 602, 204, 204, 1834, 7815, 12052, 273, 1965, 6477, 497, 11077, 324, 605, 11339, 3416, 311, 11339, 25745, 19, 334, 8864, 5628, 4569, 3214, 17, 974, 4109, 31138, 329, 11893, 311, 7087, 275, 1965, 6477, 19, 334, 896, 3214, 10649, 11263, 496, 275, 741, 24271, 123, 353, 273, 1965, 6477, 497, 275, 758, 302, 11077, 324, 605, 11339, 12827, 302, 45822, 311, 275, 758, 302, 11339, 25745, 302, 45822, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 204, 1834, 3467, 3416, 719, 275, 12896, 50, 3611, 1650, 17, 928, 25006, 2388, 497, 1068, 19, 204, 315, 204, 204, 531, 12800, 532, 3219, 17, 1020, 68, 9290, 204, 647, 1127, 204, 204, 461, 1151, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 275, 4578, 302, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4578, 302, 275, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 329, 1151, 275, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 510, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1273, 275, 510, 1583, 508, 1337, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 3026, 204, 204, 461, 636, 68, 16299, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 1945, 9912, 348, 275, 1650, 19, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 458, 302, 3146, 1987, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1945, 9912, 204, 264, 407, 551, 204, 268, 379, 76, 24577, 491, 204, 268, 379, 5770, 491, 204, 268, 379, 23503, 491, 204, 268, 379, 28567, 68, 15112, 68, 9277, 2262, 491, 204, 268, 379, 3109, 491, 204, 268, 379, 3109, 6302, 491, 204, 264, 2437, 204, 204, 461, 3219, 68, 5580, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 12896, 50, 3611, 1650, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1359, 719, 275, 1650, 204, 268, 3219, 13, 204, 305, 588, 833, 9277, 27839, 491, 204, 305, 2585, 833, 21, 19, 21, 19, 22, 491, 204, 305, 2342, 833, 16175, 2388, 497, 1068, 491, 204, 305, 2482, 68, 2749, 34, 976, 68, 553, 611, 24235, 19, 7648, 2008, 204, 305, 2799, 833, 12967, 595, 319, 95, 491, 204, 305, 2799, 68, 2302, 833, 16667, 37, 16667, 45643, 95, 19, 1453, 491, 204, 305, 1779, 833, 3189, 1963, 8750, 19, 1453, 20, 2070, 319, 9598, 1054, 20, 9277, 27839, 491, 204, 305, 9912, 34, 2269, 68, 9290, 2144, 204, 305, 6348, 68, 11729, 34, 505, 68, 16299, 2144, 204, 305, 11195, 833, 12570, 491, 204, 305, 16674, 3603, 204, 485, 379, 18427, 5997, 18220, 23655, 5997, 6341, 1154, 491, 204, 305, 7241, 204, 268, 1179, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 3219, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 3219, 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, 741, 1330, 275, 3467, 353, 1523, 5104, 204, 264, 3219, 68, 5580, 374, 204, 0, 461, 1900, 68, 6452, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 437, 2073, 782, 560, 21852, 379, 52, 677, 311, 379, 38, 12305, 40247, 12, 1609, 523, 275, 1277, 302, 275, 537, 782, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 3822, 275, 1277, 2712, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4489, 2073, 782, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1034, 2073, 782, 204, 264, 1034, 68, 6452, 289, 379, 38, 12305, 40247, 12, 204, 615, 264, 314, 888, 275, 1277, 2712, 1283, 275, 537, 782, 329, 275, 1034, 2073, 204, 264, 1277, 68, 7728, 289, 1245, 13, 768, 68, 1031, 14, 338, 1245, 13, 772, 68, 6452, 14, 204, 615, 264, 314, 828, 275, 537, 782, 353, 6397, 1194, 521, 1936, 311, 275, 1034, 2073, 17, 6283, 379, 52, 677, 204, 264, 397, 1277, 68, 7728, 3721, 500, 31, 204, 268, 314, 5230, 379, 52, 677, 311, 275, 1034, 2073, 1609, 523, 275, 1277, 2712, 204, 268, 2073, 289, 1034, 68, 6452, 465, 379, 52, 12, 540, 322, 1205, 68, 7728, 465, 368, 14, 204, 264, 902, 31, 204, 268, 314, 828, 275, 537, 782, 353, 14276, 17, 407, 275, 1034, 2073, 204, 268, 2073, 289, 1034, 68, 6452, 204, 615, 264, 407, 2073, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 275, 537, 782, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 19, 204, 264, 320, 204, 264, 314, 763, 275, 537, 782, 497, 275, 575, 204, 264, 407, 537, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12015, 437, 2073, 782, 1609, 523, 275, 575, 677, 537, 329, 5538, 490, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 2069, 275, 2073, 782, 204, 268, 2073, 289, 1900, 68, 6452, 13, 768, 68, 1031, 14, 204, 822, 268, 314, 1198, 275, 2073, 782, 204, 268, 456, 13, 6452, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 1151, 68, 5518, 68, 339, 68, 655, 13, 4202, 31, 394, 289, 388, 2101, 273, 458, 302, 1892, 5289, 560, 5685, 31, 2810, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 4143, 273, 458, 302, 1892, 497, 537, 17, 19318, 1475, 17, 329, 2584, 275, 2282, 458, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 1243, 311, 388, 2101, 273, 458, 302, 1892, 5289, 560, 5685, 31, 5161, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 2282, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 314, 1606, 537, 497, 275, 575, 329, 3404, 490, 1025, 273, 458, 302, 1892, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 575, 68, 768, 289, 537, 13, 4202, 14, 204, 305, 314, 3289, 311, 1814, 275, 537, 1025, 273, 458, 302, 1892, 204, 305, 421, 68, 655, 289, 551, 339, 13, 78, 14, 348, 296, 292, 575, 68, 768, 19, 1590, 6485, 204, 305, 314, 4641, 275, 458, 329, 407, 490, 204, 305, 407, 2282, 13, 339, 68, 655, 14, 204, 268, 827, 987, 31, 204, 305, 314, 828, 275, 537, 2950, 444, 6004, 1025, 273, 458, 302, 1892, 17, 3176, 275, 575, 311, 810, 2528, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 458, 302, 1892, 5289, 560, 5685, 1280, 204, 204, 461, 5408, 68, 5518, 68, 7518, 13, 655, 22, 31, 458, 64, 339, 648, 458, 23, 31, 458, 64, 339, 694, 393, 1109, 31, 204, 264, 320, 204, 264, 28079, 970, 2282, 3330, 329, 2584, 959, 397, 1250, 529, 1936, 17, 1078, 2130, 19, 204, 204, 264, 457, 31, 204, 268, 458, 22, 322, 655, 64, 339, 1037, 334, 1043, 2282, 458, 19, 204, 268, 458, 23, 322, 655, 64, 339, 1037, 334, 1350, 2282, 458, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 3330, 529, 1936, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 8139, 275, 970, 3330, 329, 407, 275, 722, 204, 264, 407, 458, 22, 564, 458, 23, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1523, 275, 2548, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 542, 302, 683, 2910, 497, 275, 575, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 771, 68, 804, 68, 3871, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 485, 397, 771, 68, 804, 68, 3871, 2186, 500, 31, 204, 895, 456, 499, 5213, 2064, 273, 2140, 1534, 1280, 204, 485, 902, 31, 204, 895, 2280, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 2140, 1534, 1280, 204, 822, 268, 314, 2466, 848, 683, 1322, 204, 268, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 305, 314, 1606, 275, 970, 3330, 497, 275, 575, 204, 305, 458, 22, 289, 1151, 68, 5518, 68, 339, 68, 655, 499, 2101, 275, 1043, 458, 302, 1892, 31, 2810, 204, 305, 458, 23, 289, 1151, 68, 5518, 68, 339, 68, 655, 499, 2101, 275, 1350, 458, 302, 1892, 31, 2810, 204, 305, 314, 8139, 275, 3330, 329, 456, 275, 722, 204, 305, 456, 499, 38513, 529, 1936, 7, 397, 5408, 68, 5518, 68, 7518, 13, 655, 22, 17, 458, 23, 14, 902, 388, 38513, 529, 508, 1936, 431, 204, 264, 827, 1319, 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, 448, 318, 31, 204, 268, 314, 41797, 1169, 13504, 2805, 329, 456, 437, 908, 943, 204, 268, 456, 13, 75, 7, 2021, 13504, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 532, 2399, 204, 204, 8, 666, 273, 5959, 2399, 4712, 204, 4216, 289, 2399, 19, 20263, 374, 204, 204, 204, 37, 4216, 19, 2741, 611, 4776, 68, 2307, 534, 204, 461, 1900, 68, 2307, 13, 876, 31, 394, 14, 393, 933, 31, 204, 264, 320, 204, 264, 2069, 273, 933, 497, 500, 311, 275, 800, 700, 19, 204, 204, 264, 457, 31, 204, 268, 700, 322, 325, 330, 334, 1136, 700, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 268, 933, 31, 332, 933, 726, 497, 500, 311, 275, 800, 700, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 497, 500, 311, 275, 700, 204, 268, 407, 933, 13, 339, 13, 876, 14, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 437, 1392, 933, 204, 268, 407, 933, 13, 21, 14, 204, 204, 204, 37, 4216, 19, 2741, 611, 4776, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 534, 204, 461, 1900, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 13, 876, 31, 394, 17, 1136, 31, 421, 289, 720, 14, 393, 933, 31, 204, 264, 320, 204, 264, 2069, 273, 933, 497, 275, 800, 1012, 700, 311, 275, 1136, 700, 19, 204, 204, 264, 457, 31, 204, 268, 700, 322, 325, 330, 334, 1012, 700, 302, 275, 933, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 700, 302, 275, 933, 19, 1243, 311, 720, 19, 204, 204, 264, 475, 31, 204, 268, 933, 31, 332, 933, 726, 497, 275, 1012, 700, 311, 275, 1136, 700, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 700, 311, 437, 1534, 329, 1900, 273, 933, 497, 275, 700, 311, 275, 1136, 204, 268, 407, 933, 13, 339, 13, 876, 659, 1136, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 437, 1392, 933, 204, 268, 407, 933, 13, 21, 17, 1136, 465, 368, 14, 226, 314, 1255, 368, 311, 2255, 275, 1136, 700, 204, 204, 204, 37, 4216, 19, 2741, 611, 360, 68, 6124, 68, 25073, 68, 5053, 534, 204, 461, 353, 68, 6124, 68, 25073, 68, 5053, 13, 6124, 31, 394, 17, 3442, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 6374, 353, 3114, 1194, 521, 1936, 311, 275, 3442, 19, 204, 204, 264, 457, 31, 204, 268, 6374, 322, 325, 330, 334, 6374, 700, 19, 204, 268, 3442, 322, 325, 330, 334, 3442, 700, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 6374, 353, 3114, 1194, 521, 1936, 311, 275, 3442, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 1814, 275, 6374, 329, 3442, 311, 1892, 329, 5408, 204, 264, 810, 31, 204, 268, 314, 2208, 275, 6374, 329, 3442, 311, 1892, 329, 5408, 204, 268, 407, 421, 13, 6124, 14, 3721, 421, 13, 5053, 14, 204, 264, 827, 987, 31, 204, 268, 314, 1426, 1950, 18, 4649, 1019, 560, 15235, 1078, 204, 268, 407, 1078, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 6981, 204, 264, 456, 13, 655, 13, 4776, 68, 2307, 499, 1003, 28722, 226, 314, 3215, 31, 933, 13, 21, 17, 931, 14, 204, 264, 456, 13, 655, 13, 4776, 68, 2307, 68, 2004, 68, 1530, 68, 416, 68, 409, 499, 26, 528, 931, 3694, 226, 314, 3215, 31, 933, 13, 26, 17, 2958, 14, 204, 264, 456, 13, 360, 68, 6124, 68, 25073, 68, 5053, 499, 26, 528, 388, 24, 3687, 226, 314, 3215, 31, 959, 204, 264, 456, 13, 360, 68, 6124, 68, 25073, 68, 5053, 499, 24, 528, 388, 26, 3687, 226, 314, 3215, 31, 1078, 204, 0, 658, 10721, 311, 15935, 204, 204, 18464, 1027, 1173, 275, 3633, 1283, 273, 1085, 329, 275, 4835, 19, 1765, 1763, 17, 397, 572, 874, 6699, 15225, 329, 2327, 302, 1475, 529, 9492, 440, 2263, 17, 275, 4628, 496, 4504, 275, 542, 302, 9492, 15225, 353, 571, 20, 27, 19, 204, 204, 837, 808, 4628, 31, 204, 18, 334, 542, 523, 1913, 17, 571, 17, 353, 3250, 275, 930, 17127, 18501, 1547, 14589, 451, 1662, 1910, 3576, 302, 275, 4835, 529, 2545, 6028, 19, 204, 18, 334, 542, 630, 275, 5533, 17, 887, 17, 353, 3250, 275, 930, 18435, 18501, 1547, 14589, 451, 1662, 1910, 3576, 275, 4835, 353, 6167, 1025, 19, 204, 204, 2551, 17, 275, 4628, 571, 20, 27, 618, 444, 1151, 448, 388, 13554, 685, 302, 6699, 7, 521, 388, 13554, 20098, 11090, 2948, 1058, 3210, 496, 2327, 3576, 685, 302, 273, 1113, 302, 6699, 3576, 529, 9492, 440, 2263, 19, 0, 647, 12852, 448, 3790, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 676, 5496, 31, 204, 264, 320, 204, 264, 332, 850, 496, 8808, 88, 440, 273, 11706, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 2442, 322, 325, 330, 334, 9571, 521, 3877, 1995, 302, 275, 1104, 1981, 19, 204, 268, 2143, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 268, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 268, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 732, 19, 204, 268, 1863, 322, 4655, 19, 5064, 330, 334, 1104, 1727, 726, 19, 204, 268, 3370, 322, 4655, 19, 13467, 330, 334, 1104, 3370, 726, 19, 204, 264, 320, 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, 204, 264, 436, 589, 924, 889, 327, 17, 2442, 31, 394, 17, 2143, 31, 394, 17, 1482, 31, 394, 17, 1104, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 1104, 1727, 19, 204, 204, 268, 457, 31, 204, 305, 2442, 322, 325, 330, 334, 9571, 521, 3877, 1995, 302, 275, 1104, 1981, 19, 204, 305, 2143, 322, 325, 330, 334, 2143, 311, 732, 348, 275, 1104, 1727, 19, 204, 305, 1482, 322, 325, 330, 334, 1482, 311, 732, 348, 275, 1104, 1727, 19, 204, 305, 1104, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 732, 19, 204, 268, 320, 204, 268, 370, 19, 2463, 289, 2442, 204, 268, 370, 19, 2574, 289, 2143, 204, 268, 370, 19, 1989, 289, 1482, 204, 268, 370, 19, 2819, 289, 1104, 204, 268, 370, 19, 1479, 289, 3790, 19, 2933, 13, 204, 305, 2442, 34, 2463, 17, 204, 305, 575, 34, 2574, 17, 204, 305, 1482, 34, 1989, 17, 204, 305, 1104, 34, 2819, 17, 204, 305, 6545, 4827, 34, 1021, 17, 204, 305, 3370, 676, 34, 4655, 19, 32563, 19, 1665, 13467, 204, 268, 1179, 204, 268, 370, 19, 4322, 289, 370, 19, 1479, 19, 4322, 374, 204, 204, 264, 436, 838, 68, 1867, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 2630, 31, 783, 64, 2983, 64, 325, 17, 394, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 1435, 292, 275, 1104, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 838, 19, 204, 305, 2630, 322, 1218, 64, 2983, 64, 325, 17, 394, 3795, 332, 458, 302, 5760, 17, 1273, 848, 927, 3192, 275, 1837, 588, 329, 424, 1187, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1435, 1484, 204, 268, 1484, 289, 283, 7, 20830, 12409, 13111, 7845, 15731, 463, 1867, 68, 417, 98, 4401, 204, 268, 1837, 68, 17637, 289, 551, 75, 1954, 3071, 64, 21, 7916, 463, 3071, 64, 22, 25718, 348, 1837, 292, 2630, 66, 204, 268, 1484, 1412, 6277, 5161, 1541, 13, 3071, 68, 17637, 14, 465, 2810, 28557, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 14, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 4141, 1435, 31, 463, 74, 743, 204, 204, 264, 436, 4482, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 17327, 424, 1025, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 4482, 424, 1025, 19, 204, 305, 424, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 424, 311, 4482, 19, 204, 268, 320, 204, 268, 314, 6461, 424, 1484, 204, 268, 1484, 289, 283, 7, 14483, 12377, 463, 1867, 68, 417, 98, 4401, 204, 268, 2630, 289, 6277, 5161, 1541, 13, 481, 19, 3261, 1447, 204, 268, 19325, 289, 6277, 5161, 1541, 9792, 10, 88, 1339, 540, 1245, 13, 481, 602, 204, 268, 1484, 1412, 283, 1954, 3786, 1937, 12804, 8267, 34488, 1937, 28557, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 13, 481, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 18740, 424, 31, 463, 74, 743, 204, 204, 264, 436, 1395, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 424, 31, 1061, 64, 325, 17, 394, 648, 2407, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 424, 292, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 1395, 19, 204, 305, 424, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 424, 311, 1395, 19, 204, 305, 2407, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 4042, 311, 1395, 19, 204, 268, 320, 204, 268, 314, 1716, 424, 1484, 204, 268, 1484, 289, 283, 7, 18344, 463, 1867, 68, 417, 98, 17899, 388, 204, 268, 7861, 289, 6277, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 424, 694, 204, 268, 4042, 289, 388, 9273, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 2407, 694, 204, 268, 1484, 1412, 283, 1954, 19735, 98, 8888, 463, 9821, 16258, 7, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 13, 481, 19, 1309, 1447, 465, 927, 13, 9078, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 9683, 424, 31, 463, 74, 743, 204, 204, 264, 436, 4032, 68, 481, 13, 327, 17, 1435, 68, 417, 31, 394, 17, 2407, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 11183, 424, 497, 273, 1435, 19, 204, 204, 268, 457, 31, 204, 305, 1435, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1435, 311, 4032, 424, 497, 19, 204, 305, 2407, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 1273, 275, 3583, 529, 275, 1837, 1987, 329, 275, 1019, 529, 275, 4042, 311, 4032, 19, 204, 268, 320, 204, 268, 314, 6117, 424, 1484, 204, 268, 1484, 289, 283, 7, 16908, 7281, 463, 1867, 68, 417, 98, 8888, 388, 204, 268, 4042, 289, 388, 9273, 5161, 1541, 1568, 75, 1954, 644, 98, 289, 1564, 88, 7, 348, 896, 292, 2407, 694, 204, 268, 1484, 1412, 283, 1954, 9821, 16258, 7, 204, 822, 268, 314, 5635, 275, 1484, 204, 268, 810, 31, 204, 305, 370, 19, 4322, 19, 4118, 13, 2120, 17, 927, 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, 9078, 19, 1309, 5887, 204, 268, 827, 3790, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 12629, 424, 31, 463, 74, 743, 204, 204, 264, 436, 3671, 68, 2602, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20806, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 370, 19, 1479, 19, 3529, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1863, 289, 5496, 499, 7714, 528, 388, 2125, 528, 388, 1989, 528, 388, 2819, 431, 204, 264, 1863, 19, 1510, 68, 1867, 499, 33881, 528, 28175, 359, 528, 388, 7699, 3186, 4401, 417, 528, 388, 42508, 13, 4808, 12008, 694, 204, 264, 1863, 19, 5021, 68, 481, 499, 33881, 528, 2832, 359, 559, 388, 22, 528, 388, 417, 559, 388, 39030, 368, 12483, 204, 264, 1863, 19, 2045, 68, 481, 499, 33881, 528, 2832, 417, 559, 388, 39030, 435, 7832, 2832, 359, 559, 388, 22, 12483, 204, 264, 1863, 19, 2756, 68, 481, 499, 33881, 528, 2832, 359, 559, 388, 22, 12483, 204, 264, 1863, 19, 3529, 68, 2602, 374, 204, 0, 647, 2010, 448, 645, 204, 204, 461, 9569, 68, 285, 6292, 13, 204, 264, 3906, 68, 1663, 31, 645, 19, 766, 17, 716, 264, 5445, 68, 6073, 31, 645, 19, 766, 17, 716, 264, 3259, 555, 68, 1115, 31, 421, 289, 681, 17, 716, 264, 1419, 68, 6575, 31, 818, 289, 368, 19, 21, 17, 716, 264, 846, 68, 5749, 31, 421, 289, 931, 204, 14, 393, 927, 31, 204, 264, 320, 204, 264, 9715, 9569, 15183, 348, 27187, 4227, 5194, 19, 204, 204, 264, 457, 31, 204, 264, 338, 3906, 68, 1663, 322, 1123, 19, 766, 330, 18414, 1525, 204, 264, 338, 5445, 68, 6073, 322, 1123, 19, 766, 330, 9939, 3050, 3683, 204, 264, 338, 3259, 555, 68, 1115, 322, 339, 17, 1448, 330, 1301, 6200, 1552, 19, 1243, 311, 681, 19, 204, 264, 338, 1419, 68, 6575, 322, 996, 17, 1448, 330, 807, 3441, 19, 1243, 311, 368, 19, 21, 19, 204, 264, 338, 846, 68, 5749, 322, 339, 17, 1448, 330, 9814, 542, 302, 6195, 19, 1243, 311, 931, 19, 204, 204, 264, 475, 31, 204, 264, 338, 927, 31, 322, 75, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 14, 204, 264, 320, 204, 264, 314, 968, 3454, 204, 264, 5697, 43, 289, 368, 74, 1003, 204, 264, 5405, 289, 435, 204, 204, 264, 314, 763, 275, 542, 302, 3015, 329, 2630, 292, 275, 3906, 1525, 204, 264, 771, 68, 3173, 17, 771, 68, 6103, 289, 3906, 68, 1663, 19, 1827, 204, 204, 264, 314, 977, 2558, 204, 264, 3259, 68, 1663, 289, 645, 19, 4324, 1802, 920, 68, 3173, 17, 771, 68, 6103, 659, 4798, 833, 14024, 534, 204, 264, 468, 68, 1663, 289, 645, 19, 11450, 19, 15756, 13, 4782, 68, 1663, 5604, 22, 66, 204, 264, 3259, 68, 1663, 289, 645, 19, 11450, 19, 15756, 13, 4782, 68, 1663, 5604, 21, 66, 204, 264, 469, 289, 645, 19, 3005, 13, 86, 68, 1663, 19, 495, 79, 1528, 57, 17, 5445, 68, 6073, 14, 204, 264, 906, 94, 289, 469, 19, 3462, 374, 204, 264, 303, 289, 1419, 68, 6575, 930, 435, 204, 204, 264, 314, 977, 13754, 329, 2311, 1759, 204, 264, 283, 38923, 68, 765, 289, 500, 204, 264, 1006, 68, 3174, 289, 5697, 43, 204, 264, 15255, 68, 2160, 289, 500, 204, 204, 264, 348, 906, 292, 933, 13, 1129, 68, 5749, 330, 204, 268, 314, 977, 2558, 348, 848, 6491, 204, 268, 724, 289, 771, 68, 6103, 338, 368, 204, 268, 906, 94, 289, 469, 19, 3462, 374, 204, 268, 303, 68, 80, 289, 645, 19, 2514, 13, 73, 14, 204, 268, 758, 68, 539, 289, 368, 204, 268, 297, 289, 645, 19, 4324, 1802, 920, 68, 6103, 17, 368, 602, 204, 204, 268, 1335, 959, 31, 204, 305, 314, 7415, 283, 38923, 1040, 204, 305, 283, 38923, 68, 765, 1412, 368, 204, 204, 305, 314, 888, 3482, 2722, 204, 305, 397, 758, 68, 539, 564, 368, 31, 204, 485, 314, 4347, 275, 3482, 2722, 1609, 523, 275, 790, 700, 302, 469, 329, 412, 204, 485, 397, 322, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 66, 1323, 3457, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 744, 204, 895, 27461, 68, 80, 289, 645, 19, 11062, 1802, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 204, 895, 297, 68, 80, 289, 645, 19, 16304, 19728, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 338, 368, 204, 485, 902, 31, 204, 895, 27461, 68, 80, 289, 645, 19, 11062, 19728, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 204, 895, 297, 68, 80, 289, 645, 19, 16304, 1802, 73, 68, 80, 465, 906, 94, 64, 80, 694, 802, 468, 68, 1663, 64, 80, 17, 724, 694, 338, 368, 204, 204, 485, 314, 1716, 297, 68, 80, 204, 485, 488, 289, 297, 68, 80, 465, 368, 204, 485, 348, 781, 292, 933, 13, 86, 555, 68, 1115, 338, 368, 17, 338, 86, 555, 68, 1115, 17, 338, 23, 330, 204, 895, 397, 488, 1323, 781, 31, 204, 2058, 2280, 204, 895, 297, 68, 80, 289, 781, 338, 435, 204, 204, 305, 314, 1716, 297, 68, 80, 204, 305, 297, 68, 80, 1412, 435, 204, 204, 305, 314, 8715, 758, 68, 539, 5168, 204, 305, 758, 68, 539, 289, 500, 204, 204, 305, 314, 778, 397, 297, 68, 80, 353, 2614, 275, 3482, 2722, 329, 1301, 6200, 1552, 204, 305, 397, 297, 68, 80, 2186, 27461, 68, 80, 329, 297, 68, 80, 962, 3259, 555, 68, 1115, 31, 204, 485, 314, 828, 724, 353, 500, 17, 949, 275, 1759, 329, 1395, 275, 2311, 1759, 204, 485, 397, 724, 564, 500, 31, 204, 895, 15255, 68, 2160, 1412, 368, 204, 895, 1759, 289, 645, 19, 11450, 19, 5915, 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, 1123, 19, 3005, 13, 4782, 68, 1663, 17, 297, 19, 12114, 1447, 338, 5445, 68, 6073, 14, 204, 895, 397, 1006, 68, 3174, 1323, 1759, 31, 204, 2058, 1006, 68, 3174, 289, 1759, 204, 485, 902, 31, 204, 895, 314, 1716, 724, 329, 949, 275, 717, 700, 302, 469, 204, 895, 724, 4922, 368, 204, 895, 906, 94, 64, 80, 66, 289, 469, 64, 80, 66, 204, 895, 348, 296, 292, 933, 13, 80, 465, 368, 17, 771, 68, 6103, 330, 204, 2058, 906, 94, 64, 80, 66, 4922, 468, 68, 1663, 64, 80, 17, 296, 66, 540, 297, 64, 78, 66, 204, 895, 303, 68, 80, 289, 645, 19, 2514, 13, 73, 68, 80, 930, 435, 338, 46134, 94, 64, 80, 465, 368, 66, 338, 468, 68, 1663, 64, 80, 465, 368, 17, 724, 465, 368, 66, 540, 297, 64, 80, 465, 368, 694, 930, 435, 14, 204, 895, 758, 68, 539, 289, 368, 204, 485, 3524, 204, 305, 902, 31, 204, 485, 314, 828, 297, 68, 80, 353, 508, 2614, 275, 3482, 2722, 17, 6342, 724, 329, 2280, 275, 3546, 204, 485, 724, 1412, 368, 204, 485, 397, 724, 564, 771, 68, 6103, 31, 204, 895, 2280, 204, 204, 268, 314, 1716, 275, 3441, 329, 2311, 1759, 204, 268, 397, 1006, 68, 3174, 564, 5697, 43, 31, 204, 305, 397, 906, 1323, 368, 31, 204, 485, 303, 10744, 5405, 204, 305, 902, 31, 204, 485, 303, 289, 1419, 68, 6575, 930, 435, 204, 268, 902, 31, 204, 305, 2280, 204, 204, 264, 314, 888, 275, 1113, 283, 38923, 1040, 204, 264, 283, 38923, 68, 765, 10744, 2905, 204, 204, 264, 407, 283, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 273, 1400, 3906, 1525, 329, 5445, 3683, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 3906, 68, 1663, 289, 645, 19, 2017, 19, 2329, 13, 25, 17, 681, 14, 465, 368, 79, 540, 645, 19, 2017, 19, 2329, 13, 25, 17, 681, 14, 204, 264, 5445, 68, 6073, 289, 645, 19, 2017, 19, 2329, 13, 25, 14, 465, 368, 79, 540, 645, 19, 2017, 19, 2329, 13, 25, 14, 204, 204, 264, 314, 3055, 9569, 15183, 204, 264, 283, 38923, 68, 765, 17, 1006, 68, 3174, 17, 15255, 68, 2160, 289, 9569, 68, 285, 6292, 13, 4782, 68, 1663, 17, 5445, 68, 6073, 14, 204, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 13, 75, 7, 43, 38923, 1040, 31, 463, 75, 38923, 68, 765, 743, 204, 264, 456, 13, 75, 7, 14543, 1759, 31, 463, 885, 68, 3174, 743, 204, 264, 456, 13, 75, 7, 49, 40383, 1728, 31, 463, 23999, 68, 2160, 743, 204, 0, 3637, 52, 677, 4263, 292, 2263, 204, 18444, 8425, 562, 6587, 3700, 11658, 1283, 3303, 329, 38555, 311, 10579, 437, 8421, 3390, 302, 14372, 11002, 19, 5028, 36643, 17, 5862, 17, 353, 496, 1182, 2263, 1120, 444, 4331, 311, 6626, 275, 8421, 3382, 10, 302, 4372, 3117, 4331, 19, 18624, 52, 884, 88, 1225, 292, 2263, 19236, 523, 273, 1182, 6184, 17, 899, 18521, 329, 37452, 20972, 732, 302, 2263, 292, 16700, 19, 204, 27532, 680, 3332, 2263, 496, 1519, 311, 444, 22062, 2255, 31, 204, 18, 15247, 1182, 3117, 1335, 974, 2202, 2263, 204, 18, 5343, 35379, 302, 21156, 9644, 311, 29653, 440, 36324, 329, 20335, 88, 204, 18, 8910, 3106, 2263, 13199, 496, 6156, 275, 1964, 204, 33121, 6708, 756, 16700, 13909, 273, 896, 4263, 292, 3117, 5627, 19, 1785, 1225, 440, 16972, 17, 2263, 21051, 17, 20983, 329, 14724, 311, 7504, 504, 1017, 25760, 5194, 754, 496, 1250, 529, 1182, 26001, 329, 2202, 31343, 348, 275, 1964, 19, 1765, 1910, 15722, 1880, 17, 2263, 353, 3667, 275, 4408, 5627, 2479, 496, 5252, 311, 444, 33470, 19, 18624, 52, 30445, 8235, 28708, 15747, 2263, 6294, 5169, 496, 2931, 15722, 7582, 329, 3117, 7355, 19, 204, 57, 16713, 409, 1399, 5634, 292, 3117, 5627, 292, 5411, 2181, 869, 2927, 490, 2237, 311, 1308, 4037, 5926, 3117, 311, 1182, 1880, 1194, 7921, 2518, 19, 204, 30005, 3667, 17, 5862, 17, 808, 353, 12156, 630, 275, 15667, 302, 2263, 4764, 329, 302, 275, 2667, 302, 275, 24686, 1250, 9708, 19, 204, 1449, 1995, 808, 9056, 17, 18624, 52, 353, 17313, 39233, 2151, 1094, 496, 529, 3106, 329, 3966, 18, 15000, 17, 17863, 275, 21811, 302, 2263, 5229, 275, 15198, 17, 13091, 329, 15747, 5018, 19, 204, 3637, 52, 13157, 8052, 496, 6024, 275, 34036, 302, 2263, 348, 1182, 6184, 17, 25414, 329, 899, 18521, 732, 302, 2263, 348, 16700, 19, 3837, 8426, 13727, 348, 2263, 1283, 23750, 1924, 275, 2263, 18, 9323, 18, 2507, 507, 93, 354, 3979, 17, 5343, 6982, 8534, 18, 25539, 281, 4643, 22437, 329, 9422, 8352, 1225, 19, 204, 3070, 1763, 17, 2077, 2548, 523, 31184, 34036, 19236, 523, 36782, 4643, 329, 31558, 17259, 7784, 630, 3221, 17, 6838, 329, 1102, 14055, 4683, 19, 1785, 15209, 311, 14561, 2765, 11845, 292, 31184, 34036, 448, 273, 2501, 311, 7940, 15836, 6294, 302, 31184, 4764, 19, 204, 45188, 2652, 329, 23616, 204, 45188, 2652, 1120, 3014, 311, 1182, 11899, 329, 22249, 5583, 8282, 3780, 2090, 20335, 88, 329, 36324, 17, 440, 33178, 15888, 523, 3117, 5627, 5194, 19, 23196, 2263, 6294, 353, 6456, 348, 5343, 42113, 35379, 4238, 1702, 6863, 14007, 19, 204, 3637, 52, 884, 88, 1225, 19236, 523, 31, 204, 18, 23512, 302, 426, 18, 4187, 20335, 329, 13196, 4190, 6294, 12058, 204, 18, 5960, 5343, 523, 4744, 10473, 329, 4217, 1483, 523, 22804, 204, 18, 2886, 311, 6863, 2263, 5688, 311, 5668, 7515, 23616, 329, 2652, 204, 673, 14916, 302, 275, 14971, 1283, 3117, 17, 2796, 17, 15254, 17, 1964, 329, 7515, 2652, 353, 5992, 17, 448, 2590, 448, 275, 12083, 496, 2263, 13909, 273, 6837, 4263, 292, 830, 1605, 6705, 19, 18624, 52, 29233, 329, 30155, 332, 4961, 38, 9593, 17, 275, 1901, 15964, 329, 25932, 2139, 523, 4610, 2263, 4685, 19, 204, 18, 332, 4961, 38, 9593, 338, 18624, 52, 677, 4610, 2263, 1483, 1561, 204, 18, 334, 5140, 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, 5179, 884, 88, 15044, 329, 10748, 17638, 348, 11554, 329, 23931, 0, 461, 5327, 68, 19301, 68, 9660, 68, 16037, 68, 4603, 374, 393, 927, 31, 204, 264, 320, 204, 264, 16927, 275, 10390, 7852, 18029, 3494, 311, 12117, 275, 379, 61, 18, 3070, 29685, 18, 32786, 12, 3494, 204, 264, 2312, 560, 275, 7852, 1981, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 3426, 3494, 329, 1163, 1812, 700, 19, 204, 264, 320, 204, 264, 314, 968, 275, 3426, 3494, 329, 1163, 1812, 700, 204, 264, 4778, 68, 4603, 289, 379, 6654, 68, 61, 68, 8197, 39960, 21449, 68, 33668, 12, 204, 264, 1812, 68, 876, 289, 379, 3189, 12, 204, 204, 264, 314, 6153, 275, 10390, 7852, 18029, 3494, 204, 264, 314, 1058, 353, 3600, 1330, 4436, 8944, 273, 4036, 7852, 496, 9713, 18029, 30238, 204, 264, 10390, 68, 9660, 68, 16037, 68, 4603, 289, 322, 1942, 68, 4603, 17, 1812, 68, 876, 14, 204, 204, 264, 407, 10390, 68, 9660, 68, 16037, 68, 4603, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 6153, 275, 10390, 7852, 18029, 3494, 204, 264, 10390, 68, 9660, 68, 16037, 68, 4603, 289, 5327, 68, 19301, 68, 9660, 68, 16037, 68, 4603, 374, 204, 264, 456, 499, 32731, 562, 26301, 18029, 25889, 2180, 10390, 68, 9660, 68, 16037, 68, 4603, 14, 204, 0, 8, 4390, 3600, 12947, 204, 647, 3805, 448, 1246, 204, 531, 25876, 532, 6704, 17, 1781, 204, 531, 1498, 532, 1535, 204, 204, 37, 2607, 204, 461, 838, 68, 2393, 68, 481, 374, 393, 1535, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 2605, 273, 1672, 3135, 440, 1987, 329, 38900, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 332, 3135, 440, 1672, 424, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 458, 302, 5760, 1174, 1987, 329, 38900, 424, 204, 268, 424, 289, 458, 13, 5714, 9792, 22243, 528, 388, 47, 1055, 8495, 528, 388, 6192, 528, 388, 40769, 1930, 2869, 551, 5007, 29, 17, 31595, 17, 2031, 17, 1607, 4513, 204, 822, 268, 314, 666, 273, 3135, 497, 275, 424, 204, 268, 2349, 289, 1246, 19, 1362, 13, 481, 17, 2630, 8090, 2687, 528, 388, 35847, 88, 3808, 204, 822, 268, 314, 455, 275, 3135, 204, 268, 407, 2349, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 424, 4644, 521, 5539, 2744, 204, 268, 456, 13, 75, 7, 596, 4141, 1672, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 37, 2607, 204, 461, 1352, 68, 481, 13, 1695, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 9506, 275, 1672, 3135, 560, 8397, 275, 2480, 38900, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 537, 3135, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 4050, 3135, 440, 275, 2480, 38900, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 888, 275, 2480, 38900, 204, 268, 2480, 68, 8521, 88, 289, 2349, 1166, 35847, 88, 6925, 3037, 374, 204, 822, 268, 314, 666, 273, 717, 3135, 440, 275, 2480, 38900, 204, 268, 722, 68, 1695, 289, 1246, 19, 1362, 7075, 11769, 24884, 88, 559, 551, 5670, 68, 8521, 88, 23647, 204, 822, 268, 314, 455, 275, 722, 3135, 204, 268, 407, 722, 68, 1695, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 424, 5539, 2744, 204, 268, 456, 13, 75, 7, 596, 5539, 424, 31, 463, 74, 743, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 37, 9405, 204, 461, 1672, 68, 481, 68, 9405, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 332, 6704, 496, 6609, 273, 1672, 3135, 17, 6332, 490, 17, 329, 2584, 275, 722, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 4050, 3135, 440, 275, 2480, 38900, 19, 204, 264, 320, 204, 264, 314, 666, 275, 1672, 424, 204, 264, 1672, 68, 481, 289, 838, 68, 2393, 68, 481, 374, 204, 615, 264, 314, 778, 397, 275, 1672, 424, 353, 508, 443, 204, 264, 397, 1672, 68, 481, 353, 508, 443, 31, 204, 268, 314, 3325, 275, 1672, 424, 204, 268, 722, 289, 1352, 68, 481, 13, 2393, 68, 481, 14, 204, 822, 268, 314, 455, 275, 722, 204, 268, 407, 722, 204, 264, 902, 31, 204, 268, 314, 455, 437, 1392, 3135, 397, 275, 1672, 424, 353, 443, 204, 268, 407, 1246, 19, 1362, 374, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 722, 289, 1672, 68, 481, 68, 9405, 19, 2607, 374, 204, 264, 456, 13, 1300, 19, 1300, 14, 204, 0, 647, 690, 204, 531, 1498, 532, 1884, 204, 204, 8, 4861, 204, 45948, 68, 42145, 289, 2153, 226, 314, 3179, 204, 10830, 1889, 1334, 49, 68, 42145, 289, 931, 226, 314, 3179, 204, 45948, 68, 32063, 289, 2019, 465, 628, 15320, 18944, 68, 42145, 226, 314, 3179, 204, 10830, 1889, 1334, 49, 68, 6559, 289, 1199, 465, 33844, 1889, 1334, 49, 68, 42145, 226, 314, 3179, 204, 8004, 68, 17324, 289, 2153, 226, 314, 3179, 20, 88, 204, 204, 676, 9849, 299, 8177, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2284, 68, 7025, 17, 636, 68, 3174, 330, 204, 268, 320, 204, 268, 977, 275, 17926, 1561, 19, 204, 204, 268, 457, 31, 204, 305, 2284, 68, 7025, 322, 1386, 330, 334, 2284, 3326, 726, 19, 204, 305, 636, 68, 3174, 322, 1386, 330, 334, 636, 1759, 726, 19, 204, 268, 320, 204, 268, 370, 19, 1766, 68, 7025, 289, 2284, 68, 7025, 204, 268, 370, 19, 505, 68, 3174, 289, 636, 68, 3174, 204, 204, 264, 436, 5345, 68, 31149, 68, 4038, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 977, 275, 17926, 1561, 560, 15628, 275, 790, 2945, 302, 275, 5654, 19, 204, 204, 268, 475, 31, 204, 305, 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, 334, 2945, 302, 275, 5654, 2448, 49, 12, 521, 379, 55, 534, 204, 268, 320, 204, 268, 314, 763, 275, 5324, 497, 275, 1824, 329, 1629, 45509, 15126, 204, 268, 1824, 68, 3174, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 23, 14, 204, 268, 1629, 68, 3174, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 24, 14, 204, 204, 268, 314, 4347, 275, 2945, 1609, 523, 275, 5324, 204, 268, 407, 379, 49, 12, 397, 1824, 68, 3174, 2186, 1629, 68, 3174, 902, 379, 55, 12, 204, 204, 264, 436, 3822, 68, 31149, 68, 932, 13, 327, 17, 2945, 31, 394, 14, 393, 1884, 64, 325, 17, 394, 17, 818, 17, 818, 17, 818, 744, 204, 268, 320, 204, 268, 4347, 275, 1187, 302, 17926, 2817, 1609, 523, 275, 2945, 302, 275, 5654, 19, 204, 204, 268, 457, 31, 204, 305, 2945, 322, 325, 330, 334, 2945, 302, 275, 5654, 2448, 49, 12, 521, 379, 55, 534, 204, 204, 268, 475, 31, 204, 305, 1884, 64, 325, 17, 394, 17, 818, 17, 818, 17, 818, 744, 332, 927, 1174, 275, 2945, 17, 17926, 1187, 17, 1277, 17, 2480, 1759, 17, 329, 908, 204, 268, 320, 204, 268, 314, 968, 273, 955, 311, 2304, 2945, 311, 45509, 5722, 542, 204, 268, 2945, 68, 633, 68, 9123, 289, 2552, 49, 597, 435, 17, 379, 55, 597, 571, 98, 204, 204, 268, 314, 5360, 275, 5654, 4533, 630, 273, 683, 2969, 204, 268, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 22, 17, 15521, 68, 17324, 14, 204, 204, 268, 314, 977, 2558, 204, 268, 5168, 289, 500, 226, 314, 500, 348, 6329, 17926, 17, 368, 348, 5966, 17926, 204, 268, 17926, 68, 932, 289, 463, 21, 31, 379, 59, 491, 368, 31, 379, 53, 6241, 204, 268, 3001, 68, 765, 289, 500, 204, 268, 3001, 68, 5670, 289, 500, 204, 204, 268, 314, 11631, 275, 1759, 311, 275, 17926, 2817, 204, 268, 1759, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 5863, 68, 633, 68, 9123, 64, 5863, 694, 204, 268, 397, 1759, 3721, 33844, 1889, 1334, 49, 68, 6559, 31, 204, 305, 314, 828, 275, 1759, 353, 3114, 1194, 275, 5966, 2198, 17, 1012, 13978, 204, 305, 1012, 68, 834, 289, 690, 19, 834, 374, 204, 305, 1335, 1759, 3721, 33844, 1889, 1334, 49, 68, 6559, 31, 204, 485, 314, 39139, 3432, 7654, 424, 204, 485, 3001, 68, 5670, 1412, 1759, 204, 485, 3001, 68, 765, 1412, 368, 204, 204, 485, 314, 778, 397, 275, 1759, 353, 2202, 1194, 275, 6329, 4450, 204, 485, 397, 1759, 962, 628, 15320, 18944, 68, 32063, 31, 204, 895, 5168, 289, 368, 204, 204, 485, 314, 888, 275, 790, 1277, 204, 485, 790, 68, 834, 289, 690, 19, 834, 374, 204, 485, 1277, 68, 1520, 289, 322, 1976, 68, 834, 338, 1012, 68, 834, 14, 540, 15521, 68, 17324, 204, 204, 485, 314, 778, 397, 275, 1277, 353, 9133, 348, 17926, 204, 485, 397, 322, 8530, 564, 500, 329, 1277, 68, 1520, 3721, 33844, 1889, 1334, 49, 68, 6559, 14, 521, 322, 8530, 564, 368, 329, 1277, 68, 1520, 3721, 628, 15320, 18944, 68, 32063, 330, 204, 895, 314, 9829, 275, 5654, 329, 407, 275, 17926, 1187, 204, 895, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 21, 14, 204, 895, 3001, 68, 5670, 16695, 3001, 68, 765, 204, 895, 407, 2945, 17, 17926, 68, 932, 64, 8530, 648, 1277, 68, 1520, 17, 3001, 68, 5670, 17, 500, 204, 204, 485, 314, 1716, 275, 1759, 7654, 204, 485, 1759, 289, 370, 19, 505, 68, 3174, 19, 505, 68, 389, 68, 3174, 13, 5863, 68, 633, 68, 9123, 64, 5863, 694, 204, 204, 268, 314, 828, 275, 1759, 7654, 3731, 24479, 17, 3506, 275, 5654, 329, 949, 275, 908, 204, 268, 3506, 68, 834, 289, 690, 19, 834, 374, 204, 268, 1277, 68, 1520, 289, 322, 5029, 68, 834, 338, 1012, 68, 834, 14, 540, 15521, 68, 17324, 204, 268, 3001, 68, 5670, 16695, 3001, 68, 765, 204, 268, 908, 289, 1759, 338, 3001, 68, 5670, 204, 204, 268, 314, 455, 275, 17926, 1187, 329, 908, 204, 268, 370, 19, 1766, 68, 7025, 19, 3216, 68, 36915, 13, 21, 14, 204, 268, 407, 2945, 17, 17926, 68, 932, 64, 8530, 648, 1277, 68, 1520, 17, 3001, 68, 5670, 17, 908, 204, 204, 204, 676, 5360, 13773, 31, 204, 264, 1642, 4460, 204, 264, 436, 1307, 68, 36915, 13, 5195, 31, 421, 17, 3581, 31, 421, 330, 204, 268, 320, 204, 268, 5360, 275, 5654, 7400, 19, 204, 204, 268, 457, 31, 204, 305, 2969, 322, 339, 330, 334, 2969, 302, 275, 5654, 19, 204, 305, 3581, 322, 339, 330, 334, 3581, 302, 275, 5654, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2284, 275, 5654, 7400, 204, 268, 1879, 204, 204, 204, 676, 763, 14853, 31, 204, 264, 1642, 4460, 204, 264, 436, 636, 68, 389, 68, 3174, 13, 9123, 68, 1190, 31, 421, 14, 393, 818, 31, 204, 268, 320, 204, 268, 763, 275, 1759, 497, 273, 2875, 45509, 5722, 19, 204, 204, 268, 457, 31, 204, 305, 5722, 68, 1190, 322, 339, 330, 334, 542, 302, 275, 45509, 5722, 19, 204, 204, 268, 475, 31, 204, 305, 818, 31, 334, 1759, 497, 275, 45509, 5722, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 636, 275, 1759, 497, 275, 45509, 5722, 204, 268, 1879, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2284, 68, 7025, 289, 5360, 13773, 374, 204, 264, 636, 68, 3174, 289, 763, 14853, 374, 204, 264, 17926, 68, 4038, 289, 9849, 299, 8177, 13, 1766, 68, 7025, 17, 636, 68, 3174, 14, 204, 204, 264, 2945, 289, 17926, 68, 4038, 19, 9462, 68, 31149, 68, 4038, 374, 204, 264, 456, 13, 75, 7, 18839, 31, 463, 5863, 743, 204, 204, 264, 17926, 68, 932, 17, 1277, 17, 2480, 68, 3174, 17, 908, 289, 17926, 68, 4038, 19, 26154, 68, 31149, 68, 932, 13, 5863, 5604, 22, 5853, 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, 456, 13, 75, 7, 37687, 299, 2838, 31, 463, 31149, 68, 932, 743, 204, 264, 456, 13, 75, 7, 10746, 31, 463, 1205, 98, 3179, 431, 204, 264, 456, 13, 75, 7, 11769, 11833, 31, 463, 5670, 68, 3174, 98, 3179, 431, 204, 264, 456, 13, 75, 7, 596, 31, 463, 718, 98, 3179, 431, 204, 0, 647, 19009, 204, 647, 1875, 204, 531, 31884, 532, 14292, 25953, 204, 531, 7124, 24, 19, 5678, 532, 21490, 596, 204, 647, 1361, 204, 531, 1498, 532, 783, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 676, 25509, 27017, 31, 204, 264, 320, 204, 264, 29433, 9318, 560, 13931, 4338, 2724, 329, 14491, 685, 5448, 19, 204, 204, 264, 1532, 31, 204, 268, 28417, 322, 873, 330, 16195, 302, 4338, 2724, 311, 1017, 28417, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 40551, 289, 463, 204, 305, 379, 14700, 597, 379, 72, 491, 379, 133, 235, 597, 379, 40, 491, 379, 8433, 597, 379, 70, 491, 379, 133, 228, 597, 379, 38, 491, 379, 30837, 597, 379, 70, 491, 379, 133, 228, 597, 379, 38, 491, 204, 305, 379, 13524, 597, 379, 70, 491, 379, 43474, 597, 379, 38, 491, 379, 16990, 597, 379, 70, 491, 379, 41725, 597, 379, 38, 491, 379, 21697, 597, 379, 74, 491, 379, 133, 236, 597, 379, 42, 491, 204, 305, 379, 5733, 597, 379, 74, 491, 379, 133, 237, 597, 379, 42, 491, 379, 28544, 127, 597, 379, 74, 491, 379, 28544, 126, 597, 379, 42, 491, 379, 22213, 597, 379, 74, 491, 379, 133, 238, 597, 379, 42, 491, 204, 305, 379, 133, 111, 597, 379, 78, 491, 379, 133, 240, 597, 379, 46, 491, 379, 11863, 597, 379, 78, 491, 379, 133, 241, 597, 379, 46, 491, 379, 134, 108, 597, 379, 78, 491, 379, 134, 107, 597, 379, 46, 491, 204, 305, 379, 133, 112, 597, 379, 78, 491, 379, 133, 242, 597, 379, 46, 491, 379, 133, 116, 597, 379, 84, 491, 379, 133, 246, 597, 379, 52, 491, 379, 11175, 597, 379, 84, 491, 379, 133, 247, 597, 379, 52, 491, 204, 305, 379, 48113, 597, 379, 84, 491, 379, 133, 249, 597, 379, 52, 491, 379, 31585, 597, 379, 84, 491, 379, 133, 248, 597, 379, 52, 491, 379, 133, 123, 597, 379, 90, 491, 379, 133, 253, 597, 379, 58, 491, 204, 305, 379, 11614, 597, 379, 90, 491, 379, 133, 254, 597, 379, 58, 491, 379, 135, 108, 597, 379, 90, 491, 379, 135, 107, 597, 379, 58, 491, 379, 133, 125, 597, 379, 90, 491, 379, 133, 255, 597, 379, 58, 12, 204, 268, 1211, 204, 204, 264, 436, 5221, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 29433, 273, 7069, 560, 13931, 4338, 2724, 329, 14491, 685, 5448, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 5221, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 8049, 7069, 19, 204, 268, 320, 204, 268, 314, 3182, 4338, 2724, 329, 5448, 497, 275, 7069, 204, 268, 7069, 289, 370, 806, 3956, 68, 13130, 68, 8686, 13, 10563, 14, 204, 268, 7069, 289, 370, 806, 2741, 68, 607, 68, 3968, 13, 10563, 14, 204, 268, 407, 7069, 204, 204, 264, 436, 906, 3956, 68, 13130, 68, 8686, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 8847, 4338, 2724, 497, 273, 7069, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 3142, 4338, 2724, 497, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 7069, 440, 4338, 2724, 5748, 19, 204, 268, 320, 204, 268, 314, 4546, 4338, 2724, 440, 1017, 28417, 204, 268, 348, 1125, 17, 10262, 292, 370, 19, 40551, 19, 1996, 1293, 204, 305, 7069, 289, 7069, 19, 3834, 13, 2441, 17, 10262, 14, 204, 268, 314, 3182, 4017, 4338, 2724, 204, 268, 7069, 289, 7069, 19, 3834, 611, 2152, 491, 18242, 3834, 611, 5013, 491, 18242, 3834, 28408, 18242, 3834, 611, 22919, 18242, 3834, 611, 25364, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 611, 55, 21842, 379, 5061, 360, 3930, 3834, 18695, 491, 18242, 3834, 611, 7798, 18242, 3834, 11493, 491, 18242, 3834, 611, 27602, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 611, 9086, 18242, 3834, 41115, 491, 18242, 3834, 611, 17152, 18242, 3834, 42542, 18242, 3834, 611, 13404, 18242, 3834, 22403, 8930, 204, 268, 7069, 289, 7069, 19, 3834, 21754, 491, 18242, 3834, 7708, 83, 491, 379, 25047, 3834, 611, 24891, 8930, 204, 268, 407, 7069, 204, 204, 264, 436, 906, 2741, 68, 607, 68, 3968, 13, 327, 17, 7069, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 18403, 685, 5448, 497, 273, 7069, 19, 204, 204, 268, 457, 31, 204, 305, 7069, 322, 325, 330, 334, 7069, 311, 2081, 685, 5448, 497, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 7069, 440, 5448, 4932, 685, 19, 204, 268, 320, 204, 268, 314, 3736, 275, 7069, 1025, 2159, 204, 268, 2159, 289, 7069, 19, 1590, 611, 6947, 204, 268, 314, 4863, 685, 5448, 329, 275, 379, 13992, 12, 4541, 204, 268, 4932, 68, 2489, 289, 551, 750, 348, 1142, 292, 2159, 397, 1142, 2167, 379, 13992, 12, 329, 379, 1942, 12, 508, 292, 1142, 66, 204, 268, 407, 379, 3759, 1541, 13, 10975, 68, 2489, 14, 204, 204, 204, 676, 14292, 25953, 13308, 31, 204, 264, 320, 204, 264, 595, 321, 2554, 273, 14292, 15592, 311, 2566, 424, 311, 273, 4711, 19, 204, 204, 264, 1532, 31, 204, 268, 15592, 322, 48, 10186, 25953, 330, 334, 14292, 15592, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 20713, 68, 14643, 31, 783, 64, 325, 1037, 204, 268, 320, 204, 268, 1865, 275, 14292, 15592, 9073, 19, 204, 204, 268, 457, 31, 204, 305, 20713, 68, 14643, 322, 1218, 64, 325, 1037, 334, 458, 302, 14292, 20713, 16086, 19, 204, 268, 320, 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, 268, 370, 19, 24538, 289, 14292, 25953, 13, 20647, 68, 14643, 34, 20647, 68, 14643, 17, 700, 68, 9692, 34, 3605, 610, 31, 1875, 19, 7362, 13, 93, 789, 4170, 611, 20231, 18, 29, 3063, 204, 204, 264, 436, 2566, 13, 327, 17, 4711, 31, 394, 17, 700, 31, 1135, 330, 204, 268, 320, 204, 268, 10863, 424, 311, 273, 14292, 4711, 19, 204, 204, 268, 457, 31, 204, 305, 4711, 322, 325, 330, 334, 14292, 4711, 311, 2566, 424, 311, 19, 204, 305, 700, 322, 873, 330, 334, 424, 311, 2566, 19, 204, 268, 320, 204, 268, 370, 19, 24538, 19, 3345, 13, 7765, 17, 700, 34, 876, 14, 204, 204, 204, 676, 8471, 10062, 25164, 13, 39045, 19, 10062, 25164, 330, 204, 264, 320, 204, 264, 783, 624, 311, 8471, 16679, 329, 15125, 8049, 9318, 311, 273, 14292, 4711, 19, 204, 204, 264, 1532, 31, 204, 268, 23302, 322, 33200, 27017, 330, 334, 7069, 23302, 19, 204, 268, 31884, 68, 24538, 322, 48, 10186, 25953, 13308, 330, 334, 14292, 15592, 9073, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 23302, 31, 25509, 27017, 17, 31884, 68, 24538, 31, 14292, 25953, 13308, 330, 204, 268, 320, 204, 268, 1865, 275, 8471, 4457, 14750, 19, 204, 204, 268, 457, 31, 204, 305, 23302, 322, 33200, 27017, 330, 334, 7069, 23302, 19, 204, 305, 31884, 68, 24538, 322, 48, 10186, 25953, 13308, 330, 334, 14292, 15592, 9073, 19, 204, 268, 320, 204, 268, 370, 19, 29079, 289, 23302, 204, 268, 370, 19, 23984, 68, 24538, 289, 31884, 68, 24538, 204, 204, 264, 436, 523, 68, 718, 13, 327, 17, 1714, 68, 1181, 31, 421, 330, 204, 268, 320, 204, 268, 5133, 8471, 1893, 2744, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 68, 1181, 322, 339, 330, 334, 8471, 1893, 908, 1714, 1576, 19, 204, 268, 320, 204, 268, 397, 1714, 68, 1181, 564, 29821, 31, 204, 305, 407, 1078, 204, 204, 264, 436, 523, 68, 1835, 13, 327, 17, 1714, 31, 19009, 19, 5330, 330, 204, 268, 320, 204, 268, 5133, 7348, 9318, 19, 204, 204, 268, 457, 31, 204, 305, 1714, 322, 39045, 19, 5330, 330, 334, 7348, 7069, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 8192, 275, 7069, 204, 305, 8049, 68, 10563, 289, 370, 19, 29079, 19, 7701, 13, 1835, 19, 492, 14, 204, 305, 1361, 19, 1270, 13, 22067, 68, 10563, 14, 204, 305, 314, 2878, 275, 8049, 7069, 311, 14292, 204, 305, 370, 19, 23984, 68, 24538, 19, 3345, 611, 14146, 9197, 491, 2552, 1190, 597, 8049, 68, 10563, 1937, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 1361, 19, 718, 13, 75, 12, 596, 5539, 7069, 31, 463, 74, 3501, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1359, 719, 8471, 1893, 4997, 204, 264, 8475, 68, 644, 289, 379, 13878, 68, 644, 12, 204, 264, 8475, 68, 4679, 289, 379, 13878, 68, 4679, 12, 204, 264, 3073, 68, 2119, 289, 379, 5281, 68, 2119, 12, 204, 264, 3073, 68, 2119, 68, 4679, 289, 379, 5281, 68, 2119, 68, 4679, 12, 204, 204, 264, 314, 1359, 719, 14292, 15592, 204, 264, 31884, 68, 20647, 68, 14643, 289, 2470, 7714, 31, 3276, 6913, 839, 204, 204, 264, 314, 1359, 719, 7069, 23302, 204, 264, 23302, 289, 25509, 27017, 374, 204, 204, 264, 314, 1359, 719, 14292, 15592, 9073, 204, 264, 31884, 68, 24538, 289, 14292, 25953, 13308, 13, 23984, 68, 20647, 68, 14643, 14, 204, 204, 264, 314, 1359, 719, 8471, 4457, 14750, 204, 264, 14750, 289, 8471, 10062, 25164, 13, 29079, 17, 31884, 68, 24538, 14, 204, 204, 264, 314, 1359, 719, 8471, 1893, 204, 264, 5121, 289, 19009, 19, 28931, 4441, 13, 13878, 68, 644, 17, 8475, 68, 4679, 14, 204, 264, 5121, 19, 574, 68, 5281, 68, 2119, 13, 5281, 68, 2119, 17, 3073, 68, 2119, 68, 4679, 14, 204, 264, 3923, 289, 19009, 19, 4093, 13, 3340, 14, 204, 204, 264, 314, 4055, 8471, 4457, 204, 264, 4457, 289, 19009, 19, 10062, 13, 3340, 34, 2005, 19, 3340, 17, 14750, 34, 19339, 14, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 4457, 19, 2741, 13, 5076, 4980, 37, 79, 4115, 35876, 1013, 32516, 491, 379, 47, 4115, 23756, 1013, 32516, 491, 379, 79, 4115, 31464, 1013, 32516, 491, 379, 37868, 9481, 565, 4755, 1850, 1801, 52, 2043, 9351, 4980, 278, 2043, 406, 668, 68, 21104, 34, 1021, 14, 204, 268, 827, 322, 19025, 596, 17, 13289, 330, 204, 305, 3524, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 949, 68, 2201, 68, 1309, 13, 920, 68, 11570, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 1019, 348, 848, 1870, 19, 204, 204, 264, 334, 1870, 1019, 529, 3392, 974, 275, 2089, 31, 1870, 68, 876, 289, 435, 540, 3090, 68, 2201, 68, 876, 465, 571, 19, 204, 264, 334, 1043, 1870, 700, 353, 368, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1870, 1019, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 302, 1870, 1019, 440, 275, 1043, 1870, 700, 204, 264, 1870, 68, 1309, 289, 551, 22, 66, 204, 615, 264, 314, 888, 275, 1870, 1019, 348, 275, 4017, 4683, 204, 264, 348, 906, 292, 933, 13, 920, 68, 11570, 338, 368, 330, 204, 268, 314, 888, 275, 1682, 1870, 700, 1609, 523, 275, 3090, 1870, 700, 204, 268, 1682, 68, 2201, 68, 876, 289, 1870, 68, 1309, 3327, 22, 66, 540, 435, 465, 571, 204, 268, 1870, 68, 1309, 19, 1223, 13, 2715, 68, 2201, 68, 876, 14, 204, 615, 264, 407, 1870, 68, 1309, 204, 204, 204, 461, 949, 68, 2201, 68, 2160, 13, 920, 68, 11570, 31, 421, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 888, 275, 1728, 348, 848, 1870, 19, 204, 204, 264, 334, 1870, 1728, 529, 3392, 974, 275, 2089, 31, 1870, 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, 1096, 289, 435, 540, 3090, 68, 2201, 68, 1096, 465, 368, 19, 204, 264, 334, 1043, 1870, 917, 353, 368, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1870, 1728, 19, 204, 264, 320, 204, 264, 314, 977, 275, 458, 302, 1870, 1728, 440, 275, 1043, 1870, 917, 204, 264, 1870, 68, 2160, 289, 551, 22, 66, 204, 615, 264, 314, 888, 275, 1870, 1728, 348, 275, 4017, 4683, 204, 264, 348, 906, 292, 933, 13, 920, 68, 11570, 338, 368, 330, 204, 268, 314, 888, 275, 1682, 1870, 917, 1609, 523, 275, 3090, 1870, 917, 204, 268, 1682, 68, 2201, 68, 1096, 289, 1870, 68, 2160, 3327, 22, 66, 540, 435, 465, 368, 204, 268, 1870, 68, 2160, 19, 1223, 13, 2715, 68, 2201, 68, 1096, 14, 204, 615, 264, 407, 1870, 68, 2160, 204, 204, 204, 461, 949, 68, 1300, 13, 920, 68, 11570, 31, 421, 17, 1029, 68, 876, 31, 421, 17, 1870, 68, 1309, 31, 458, 64, 339, 648, 1870, 68, 2160, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 722, 348, 275, 800, 1029, 700, 19, 204, 204, 264, 334, 722, 353, 3392, 14395, 1609, 523, 275, 1029, 700, 329, 275, 1870, 1019, 329, 1728, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 11570, 322, 339, 330, 334, 542, 302, 4683, 19, 204, 268, 1029, 68, 876, 322, 339, 330, 334, 1029, 700, 19, 204, 268, 1870, 68, 1309, 322, 655, 64, 339, 1037, 332, 458, 302, 1870, 1019, 19, 204, 268, 1870, 68, 2160, 322, 655, 64, 339, 1037, 332, 458, 302, 1870, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 3392, 722, 19, 204, 264, 320, 204, 264, 314, 3301, 1322, 31, 397, 1422, 529, 1236, 4683, 17, 407, 368, 397, 275, 1029, 700, 353, 3114, 1194, 521, 1936, 311, 368, 17, 2130, 407, 500, 204, 264, 397, 771, 68, 11570, 564, 500, 31, 204, 268, 407, 368, 397, 1029, 68, 876, 3721, 368, 902, 500, 204, 615, 264, 314, 828, 275, 1029, 700, 353, 2202, 1194, 521, 1936, 311, 368, 17, 407, 500, 204, 264, 397, 1029, 68, 876, 2186, 368, 31, 204, 268, 407, 500, 204, 615, 264, 314, 828, 275, 1029, 700, 353, 2202, 1194, 521, 1936, 311, 275, 1673, 1870, 700, 9729, 368, 17, 716, 264, 314, 949, 275, 722, 348, 275, 4017, 4683, 329, 275, 1029, 700, 13576, 368, 204, 264, 397, 1029, 68, 876, 2186, 1870, 68, 1309, 3327, 22, 66, 465, 368, 31, 204, 268, 407, 949, 68, 1300, 13, 920, 68, 11570, 338, 368, 17, 1029, 68, 876, 338, 368, 17, 1870, 68, 1309, 9128, 22, 648, 1870, 68, 2160, 9128, 22, 694, 204, 615, 264, 314, 9444, 17, 949, 275, 722, 348, 275, 4017, 4683, 329, 275, 1029, 700, 13576, 275, 1673, 1870, 700, 13576, 435, 17, 716, 264, 314, 329, 881, 275, 1673, 1870, 917, 9729, 368, 204, 264, 902, 31, 204, 268, 407, 1870, 68, 2160, 3327, 22, 66, 465, 368, 465, 949, 68, 1300, 13, 920, 68, 11570, 338, 368, 17, 1029, 68, 876, 338, 322, 2201, 68, 1309, 3327, 22, 66, 465, 435, 659, 1870, 68, 1309, 9128, 22, 648, 1870, 68, 2160, 9128, 22, 694, 204, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 204, 264, 4143, 275, 542, 302, 4683, 329, 275, 1029, 700, 497, 275, 537, 17, 9111, 275, 1870, 1019, 329, 1728, 17, 716, 264, 329, 5538, 275, 3392, 722, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1606, 275, 542, 302, 4683, 329, 275, 1029, 700, 497, 275, 537, 204, 268, 771, 68, 11570, 17, 1029, 68, 876, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 822, 268, 314, 888, 275, 1870, 1019, 329, 1728, 204, 268, 1870, 68, 1309, 289, 949, 68, 2201, 68, 1309, 13, 920, 68, 11570, 14, 204, 268, 1870, 68, 2160, 289, 949, 68, 2201, 68, 2160, 13, 920, 68, 11570, 14, 204, 822, 268, 314, 888, 329, 456, 275, 722, 204, 268, 722, 289, 949, 68, 1300, 13, 920, 68, 11570, 17, 1029, 68, 876, 17, 1870, 68, 1309, 17, 1870, 68, 2160, 14, 204, 268, 456, 13, 1300, 14, 204, 615, 264, 827, 987, 31, 204, 268, 314, 1426, 2872, 537, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 24189, 6538, 36998, 2747, 10334, 14404, 472, 652, 226, 21252, 7452, 24189, 21396, 6713, 48072, 8777, 5890, 25883, 725, 16118, 5890, 7340, 10884, 6700, 36998, 16902, 408, 8185, 2336, 30068, 44539, 38608, 39622, 6152, 12054, 5784, 408, 2678, 6472, 1822, 16161, 725, 1822, 37854, 725, 22603, 4484, 3380, 725, 3788, 21161, 12169, 29022, 1955, 21577, 408, 6693, 23551, 24812, 725, 19989, 27654, 725, 17788, 11559, 1955, 21401, 34196, 3560, 568, 25019, 36998, 3865, 8410, 4906, 6713, 408, 4485, 33020, 2134, 15501, 1955, 11485, 3784, 408, 9027, 2967, 1773, 3976, 7897, 725, 9169, 1401, 15541, 725, 22917, 34409, 568, 24189, 6538, 7859, 3863, 36998, 20893, 1773, 37073, 9896, 36998, 460, 33243, 408, 9027, 7744, 5100, 1191, 408, 6693, 9896, 3359, 2815, 36998, 28870, 30324, 3560, 568, 24189, 6538, 36998, 7452, 3079, 15501, 12744, 19193, 19935, 6478, 3590, 17271, 3589, 13, 12693, 11485, 4485, 34393, 24309, 408, 3038, 35527, 39622, 2426, 3500, 8461, 24189, 6152, 18526, 3354, 4409, 29495, 854, 19120, 460, 23, 18, 24, 14557, 408, 4589, 15916, 17565, 1432, 3608, 5768, 408, 12054, 7452, 8802, 30760, 9438, 17408, 49083, 38608, 39622, 408, 16814, 1111, 36998, 460, 9438, 17408, 9438, 41912, 725, 9195, 5894, 9195, 13409, 6486, 568, 1254, 24189, 6538, 1189, 3354, 4409, 408, 1262, 921, 8167, 36998, 6564, 3560, 11862, 20230, 942, 31, 7859, 3863, 36998, 725, 24068, 13105, 725, 48593, 17209, 3304, 725, 32542, 18354, 725, 38232, 6700, 18354, 725, 6991, 10794, 13105, 725, 21259, 6700, 18354, 725, 17788, 36998, 568, 8846, 1262, 6700, 18354, 13, 2278, 6638, 2831, 6700, 18354, 725, 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, 12094, 30986, 6700, 18354, 27064, 15449, 1262, 6700, 18354, 13, 2278, 13522, 1773, 6700, 18354, 408, 36488, 27525, 6700, 18354, 27064, 3973, 1262, 6700, 18354, 13, 2278, 39128, 11247, 6700, 18354, 408, 6700, 18354, 11963, 1955, 27064, 15429, 13261, 6700, 18354, 13, 2278, 17788, 31523, 18354, 14, 17062, 568, 226, 3865, 7474, 13191, 568, 204, 24189, 6538, 36998, 3622, 4409, 460, 3354, 4409, 1189, 20281, 4250, 23078, 24189, 6713, 408, 4250, 23078, 24189, 21252, 5227, 14379, 41828, 16294, 5523, 9366, 17096, 24189, 8345, 9942, 1191, 408, 23078, 13397, 4144, 7191, 4384, 15113, 24189, 8345, 12562, 27303, 1524, 41828, 1191, 408, 2678, 2356, 10434, 11226, 40259, 24189, 6538, 21396, 408, 4250, 23078, 24189, 6713, 12054, 1002, 2056, 9198, 6152, 921, 15387, 2638, 44634, 17486, 4144, 2188, 1565, 18979, 16534, 408, 2278, 31, 45838, 36998, 725, 24066, 2134, 14758, 7678, 7452, 20281, 4250, 23078, 24189, 6713, 408, 2336, 4121, 15541, 2564, 4144, 2188, 1565, 2356, 10364, 408, 26043, 37073, 37478, 4121, 15541, 725, 28643, 2065, 5137, 9863, 12191, 568, 204, 24189, 6538, 7859, 3863, 36998, 28531, 7452, 28258, 37704, 1719, 1565, 2356, 40492, 4667, 2114, 1822, 16161, 6551, 12075, 8297, 408, 2336, 16161, 725, 37854, 7292, 28628, 14451, 6538, 2366, 6713, 408, 4126, 22443, 1432, 31400, 38165, 3738, 38, 23758, 11436, 408, 4343, 4734, 3738, 38, 460, 47520, 2034, 408, 1432, 31400, 20188, 17145, 10971, 20281, 1002, 25656, 1955, 21577, 568, 0, 531, 1907, 19, 804, 532, 14131, 204, 531, 1907, 19, 3968, 532, 4036, 204, 531, 570, 68, 47795, 2301, 532, 30194, 2301, 204, 531, 7501, 19, 7082, 19, 2918, 19, 1942, 68, 1723, 68, 45177, 532, 3426, 3368, 9500, 204, 531, 1498, 532, 783, 204, 204, 676, 1295, 25728, 18286, 20728, 13, 6654, 3368, 9500, 17, 14131, 330, 204, 264, 320, 204, 264, 1295, 1322, 348, 275, 19191, 18286, 20728, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 7800, 302, 275, 19191, 18286, 20728, 17, 2864, 204, 264, 275, 1714, 1576, 329, 958, 424, 302, 275, 4559, 824, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 719, 275, 683, 1322, 560, 4141, 273, 458, 302, 30477, 19, 204, 204, 268, 2605, 720, 30477, 974, 570, 68, 47795, 2301, 329, 11040, 1475, 292, 275, 1758, 327, 19, 38020, 69, 3929, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 268, 370, 19, 38020, 31, 783, 64, 47795, 2301, 19, 25728, 18286, 66, 289, 30194, 2301, 19, 5934, 611, 13411, 19, 25728, 18286, 491, 906, 7871, 34, 26, 14, 204, 204, 264, 436, 683, 68, 505, 68, 1835, 68, 1181, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 4559, 824, 2584, 273, 2031, 1714, 1576, 19, 204, 204, 268, 11885, 496, 275, 4559, 824, 311, 275, 379, 13411, 31, 38020, 12, 1274, 2584, 273, 2031, 1714, 1576, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1274, 348, 275, 379, 13411, 31, 38020, 12, 2013, 204, 268, 1779, 289, 4036, 611, 13411, 31, 38020, 534, 204, 822, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 268, 958, 289, 370, 19, 1723, 19, 505, 13, 805, 14, 204, 822, 268, 314, 4416, 496, 275, 1714, 1576, 353, 2031, 204, 268, 370, 19, 2978, 13, 1935, 19, 1835, 68, 1181, 17, 2031, 14, 204, 204, 264, 436, 683, 68, 505, 68, 1935, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 496, 275, 4559, 824, 2584, 275, 1706, 958, 424, 19, 204, 204, 268, 11885, 496, 275, 4559, 824, 311, 275, 379, 13411, 31, 38020, 12, 1274, 2584, 275, 1706, 958, 424, 17, 204, 268, 2864, 275, 1222, 329, 588, 302, 848, 25996, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1274, 348, 275, 379, 13411, 31, 38020, 12, 2013, 204, 268, 1779, 289, 4036, 611, 13411, 31, 38020, 534, 204, 822, 268, 314, 2878, 273, 4559, 824, 311, 275, 1274, 204, 268, 958, 289, 370, 19, 1723, 19, 505, 13, 805, 14, 204, 822, 268, 314, 4416, 496, 275, 1277, 302, 275, 958, 424, 4083, 275, 542, 302, 30477, 204, 268, 370, 19, 2978, 13, 1796, 13, 1935, 19, 481, 659, 1245, 13, 327, 19, 38020, 602, 204, 204, 268, 314, 1861, 1048, 275, 958, 424, 329, 6767, 275, 1222, 329, 588, 302, 848, 25996, 204, 268, 348, 1040, 17, 25996, 68, 481, 292, 3209, 13, 1935, 19, 481, 330, 204, 305, 314, 4416, 496, 275, 1222, 329, 588, 529, 3113, 292, 275, 25996, 424, 204, 305, 370, 19, 9672, 611, 359, 12, 292, 25996, 68, 481, 19, 3261, 1447, 204, 305, 370, 19, 9672, 611, 417, 12, 292, 25996, 68, 481, 19, 3261, 1447, 204, 3123, 305, 314, 4416, 496, 275, 1222, 329, 588, 2216, 275, 3310, 25996, 204, 305, 370, 19, 2978, 13, 33171, 68, 481, 19, 505, 611, 359, 2008, 370, 19, 38020, 64, 765, 1664, 359, 14, 204, 305, 370, 19, 2978, 13, 33171, 68, 481, 19, 505, 611, 417, 2008, 370, 19, 38020, 64, 765, 1664, 417, 14, 204, 0, 3728, 1583, 275, 6795, 2255, 36, 204, 204, 673, 1113, 6795, 353, 800, 560, 275, 1581, 31, 204, 204, 55, 68, 2609, 289, 500, 19, 25, 204, 204, 3837, 6019, 4569, 4550, 31, 204, 204, 22, 19, 852, 7499, 6795, 322, 55, 68, 72, 14, 3913, 311, 275, 34140, 302, 275, 9297, 19, 204, 23, 19, 14221, 6795, 322, 55, 68, 74, 14, 3913, 311, 275, 6795, 302, 275, 11576, 9823, 292, 275, 24571, 29602, 17, 521, 275, 2210, 302, 2796, 302, 275, 45850, 971, 21898, 19, 204, 24, 19, 15118, 6795, 322, 55, 68, 70, 14, 3913, 311, 275, 2652, 302, 2945, 19, 204, 25, 19, 27873, 6795, 322, 55, 68, 71, 14, 3913, 311, 3714, 292, 275, 7659, 19, 204, 26, 19, 20869, 6795, 322, 55, 68, 76, 14, 3913, 311, 275, 16522, 1727, 19, 204, 204, 7990, 4550, 529, 3232, 560, 275, 2631, 3779, 31, 204, 204, 55, 68, 2609, 289, 361, 68, 72, 465, 361, 68, 74, 465, 361, 68, 70, 465, 361, 68, 71, 465, 361, 68, 76, 204, 204, 3661, 677, 5257, 496, 361, 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, 72, 289, 361, 68, 74, 289, 361, 68, 70, 289, 361, 68, 71, 289, 361, 68, 76, 19, 5512, 31, 204, 204, 55, 68, 2609, 289, 720, 55, 68, 72, 204, 204, 2310, 618, 1425, 8314, 275, 6795, 292, 3099, 302, 275, 35392, 3441, 19, 334, 35392, 3441, 353, 3232, 311, 275, 8035, 302, 275, 6414, 9669, 19, 204, 204, 3070, 970, 2238, 17, 275, 6414, 8035, 353, 800, 560, 31, 204, 204, 41, 68, 11642, 289, 5900, 13, 23, 14, 8591, 412, 204, 204, 3663, 412, 353, 275, 8035, 302, 1051, 1007, 19, 204, 204, 673, 35392, 3441, 322, 55, 68, 77, 14, 353, 800, 560, 31, 204, 204, 55, 68, 77, 289, 412, 68, 11642, 802, 681, 204, 204, 673, 45460, 322, 56, 14, 618, 444, 8286, 292, 3099, 302, 275, 35392, 3441, 31, 204, 204, 56, 289, 322, 55, 68, 77, 22, 338, 361, 68, 77, 23, 14, 802, 322, 55, 68, 77, 22, 465, 361, 68, 77, 23, 14, 204, 204, 673, 3726, 302, 275, 45460, 353, 31, 204, 204, 56, 68, 6534, 289, 387, 22, 802, 387, 23, 204, 204, 1834, 618, 444, 8286, 292, 3099, 302, 275, 970, 904, 2558, 31, 204, 204, 56, 68, 6534, 289, 322, 55, 68, 77, 22, 338, 361, 68, 77, 23, 14, 802, 322, 55, 68, 77, 22, 465, 361, 68, 77, 23, 14, 204, 204, 7108, 31, 334, 4710, 1019, 329, 3779, 1741, 10140, 10625, 523, 275, 2824, 1844, 329, 2085, 19, 0, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 5702, 532, 19527, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2454, 204, 204, 8, 968, 3454, 204, 5605, 68, 8440, 68, 2956, 289, 21299, 204, 1318, 2956, 68, 18838, 289, 39053, 204, 12035, 4544, 68, 37804, 68, 2956, 289, 2958, 204, 45554, 68, 37804, 68, 2956, 289, 2753, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 510, 832, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 10465, 13, 935, 68, 546, 17, 2044, 23, 19, 28152, 68, 6828, 14, 204, 204, 461, 10752, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 13070, 437, 752, 311, 273, 1646, 1302, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 10752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 12103, 752, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 752, 5252, 311, 444, 12103, 204, 264, 397, 752, 19, 1827, 64, 21, 66, 1323, 8438, 68, 8440, 68, 2956, 31, 204, 268, 314, 888, 275, 3948, 2479, 204, 268, 3948, 289, 421, 13, 1123, 19, 16304, 13, 935, 19, 1827, 64, 21, 66, 802, 5882, 2956, 68, 18838, 602, 204, 268, 314, 13070, 275, 752, 204, 268, 407, 2044, 23, 19, 9522, 13, 935, 17, 322, 935, 19, 1827, 64, 22, 66, 1654, 3782, 17, 752, 19, 1827, 64, 21, 66, 1654, 3782, 602, 204, 264, 407, 752, 204, 204, 461, 2694, 68, 17316, 13, 935, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 5988, 273, 3618, 302, 3205, 322, 35530, 14, 497, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 2694, 275, 20235, 497, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 4285, 20235, 2992, 322, 93, 17, 469, 17, 306, 17, 373, 789, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 4637, 35530, 13, 935, 14, 204, 204, 461, 12655, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 17604, 298, 437, 752, 974, 273, 7875, 2081, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 12655, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 22260, 752, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 39959, 13, 935, 17, 322, 12035, 4544, 68, 37804, 68, 2956, 17, 24240, 4544, 68, 37804, 68, 2956, 659, 2044, 23, 19, 46599, 68, 6433, 14, 204, 204, 461, 6824, 68, 935, 13, 935, 31, 645, 19, 766, 17, 18162, 31, 927, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 19108, 437, 752, 311, 273, 1713, 20235, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 6824, 19, 204, 268, 18162, 322, 2644, 330, 334, 20235, 2992, 322, 93, 17, 469, 17, 306, 17, 373, 789, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 17725, 752, 19, 204, 264, 320, 204, 264, 407, 752, 64, 17316, 64, 22, 744, 17316, 64, 22, 10809, 17316, 64, 24, 648, 18162, 64, 21, 744, 17316, 64, 21, 10809, 17316, 64, 23, 648, 10113, 204, 204, 461, 1814, 68, 633, 68, 21317, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2208, 437, 752, 311, 275, 21556, 1848, 2817, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 1814, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6004, 752, 292, 21556, 1848, 2817, 19, 204, 264, 320, 204, 264, 407, 2044, 23, 19, 13104, 13, 935, 17, 2044, 23, 19, 6828, 68, 13219, 23, 34181, 14, 204, 204, 461, 3208, 68, 2004, 68, 12831, 13, 21317, 68, 935, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 666, 273, 3208, 497, 273, 17725, 21556, 752, 19, 204, 204, 264, 457, 31, 204, 268, 28790, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 21556, 752, 19, 204, 204, 264, 475, 31, 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, 927, 31, 334, 3208, 329, 1724, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3208, 5247, 3975, 3237, 204, 264, 314, 1765, 6893, 5356, 17, 407, 273, 11330, 3208, 329, 1724, 204, 264, 3208, 289, 645, 19, 4324, 13, 21317, 68, 935, 19, 1827, 2022, 23, 648, 4798, 34, 1123, 19, 9283, 29, 14, 204, 264, 1724, 289, 388, 22343, 7, 204, 264, 407, 322, 3497, 17, 1724, 659, 1724, 204, 204, 461, 4249, 68, 7208, 13, 21317, 68, 935, 31, 645, 19, 766, 17, 17725, 68, 935, 31, 645, 19, 766, 17, 17725, 68, 21317, 68, 935, 31, 645, 19, 766, 17, 6387, 3643, 31, 927, 17, 6387, 4314, 31, 927, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 437, 4249, 4368, 348, 275, 752, 19, 204, 204, 264, 457, 31, 204, 268, 28790, 68, 935, 322, 1123, 19, 766, 330, 334, 21556, 752, 19, 204, 268, 17725, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 752, 19, 204, 268, 17725, 68, 21317, 68, 935, 322, 1123, 19, 766, 330, 334, 17725, 21556, 752, 19, 204, 268, 6387, 3643, 322, 2644, 330, 334, 3124, 2689, 19, 204, 268, 6387, 4314, 322, 2644, 330, 334, 3482, 2689, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 4249, 4368, 5247, 3975, 3237, 204, 264, 314, 1765, 6893, 5356, 17, 2037, 275, 2388, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 1258, 17, 887, 602, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 368, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 21317, 68, 935, 17, 2044, 23, 19, 6828, 68, 34181, 23, 13219, 602, 204, 264, 1513, 19, 1778, 499, 34181, 3207, 431, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 435, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 32754, 68, 935, 17, 2044, 23, 19, 6828, 68, 13219, 23, 12685, 602, 204, 264, 1513, 19, 1778, 499, 48556, 3296, 3207, 431, 204, 264, 1513, 19, 14196, 13, 22, 17, 571, 17, 571, 14, 204, 264, 1513, 19, 8122, 13, 4869, 23, 19, 13104, 13, 32754, 68, 21317, 68, 935, 17, 2044, 23, 19, 6828, 68, 34181, 23, 13219, 602, 204, 264, 1513, 19, 1778, 499, 48556, 3296, 21556, 3207, 431, 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, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 435, 31, 204, 268, 456, 499, 12534, 31, 5415, 3467, 19, 948, 962, 935, 68, 546, 12962, 204, 268, 407, 204, 204, 264, 752, 68, 546, 289, 2454, 19, 4983, 64, 22, 66, 204, 264, 2171, 68, 935, 289, 1137, 68, 935, 13, 935, 68, 546, 14, 204, 264, 397, 2171, 68, 935, 353, 443, 31, 204, 268, 456, 499, 3504, 311, 1137, 752, 431, 204, 268, 407, 204, 204, 264, 12103, 68, 935, 289, 10752, 68, 935, 13, 6228, 68, 935, 14, 204, 264, 18162, 289, 2694, 68, 17316, 13, 23223, 68, 935, 14, 204, 264, 22260, 68, 935, 289, 12655, 68, 935, 13, 23223, 68, 935, 14, 204, 264, 17725, 68, 935, 289, 6824, 68, 935, 13, 38679, 68, 935, 17, 18162, 14, 204, 264, 28790, 68, 935, 289, 1814, 68, 633, 68, 21317, 13, 38679, 68, 935, 14, 204, 264, 17725, 68, 21317, 68, 935, 289, 1814, 68, 633, 68, 21317, 13, 32754, 68, 935, 14, 204, 264, 322, 4169, 3643, 17, 6387, 4314, 659, 1724, 289, 3208, 68, 2004, 68, 12831, 13, 32754, 68, 21317, 68, 935, 14, 204, 264, 4249, 68, 7208, 13, 21317, 68, 935, 17, 17725, 68, 935, 17, 17725, 68, 21317, 68, 935, 17, 6387, 3643, 17, 6387, 4314, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 13830, 532, 21796, 204, 531, 1498, 532, 30189, 17, 5006, 17, 2334, 204, 204, 8, 968, 273, 1187, 1554, 348, 275, 407, 1187, 204, 4536, 2191, 289, 30189, 499, 4536, 2191, 431, 204, 204, 461, 2652, 68, 3309, 68, 932, 13, 3573, 68, 932, 31, 5006, 8538, 5588, 648, 455, 2191, 694, 393, 5006, 20465, 5006, 20465, 455, 2191, 2440, 204, 264, 320, 204, 264, 475, 273, 11820, 496, 3731, 275, 407, 1187, 302, 273, 741, 311, 275, 1187, 1713, 560, 1758, 3573, 68, 932, 6557, 204, 204, 264, 457, 31, 204, 268, 2652, 68, 932, 31, 332, 7063, 496, 5178, 1169, 1187, 329, 2584, 273, 700, 302, 1187, 1758, 4536, 2191, 6557, 204, 204, 264, 475, 31, 204, 268, 332, 11820, 496, 3731, 275, 407, 1187, 302, 273, 741, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 437, 908, 3459, 1335, 9793, 275, 407, 1187, 19, 204, 264, 320, 204, 264, 436, 2652, 13, 4266, 31, 5006, 20465, 2334, 694, 393, 5006, 20465, 455, 2191, 744, 204, 268, 320, 204, 268, 27107, 496, 3731, 275, 407, 1187, 302, 273, 741, 19, 204, 204, 268, 457, 31, 204, 305, 6398, 31, 334, 741, 311, 28498, 19, 204, 204, 268, 475, 31, 204, 305, 332, 13170, 741, 440, 275, 7716, 407, 1187, 19, 204, 268, 320, 204, 268, 1642, 21162, 13, 4266, 14, 204, 268, 436, 9073, 4934, 1038, 31, 2334, 17, 930, 2251, 31, 2334, 14, 393, 455, 2191, 31, 204, 305, 314, 3289, 311, 2428, 275, 2171, 741, 329, 2652, 1163, 407, 1187, 204, 305, 810, 31, 204, 485, 722, 289, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 485, 314, 3291, 275, 2652, 68, 932, 741, 311, 275, 722, 204, 485, 407, 2652, 68, 932, 13, 1300, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 275, 2710, 329, 1308, 273, 10430, 908, 943, 204, 485, 980, 987, 13, 75, 7, 596, 9793, 407, 1187, 31, 463, 325, 13, 74, 3835, 497, 318, 204, 268, 407, 9073, 204, 264, 407, 2652, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 1763, 3263, 204, 264, 436, 1763, 68, 2539, 374, 393, 394, 31, 204, 268, 320, 5063, 741, 496, 2584, 273, 782, 1279, 204, 268, 407, 388, 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, 5975, 17, 5179, 9851, 204, 204, 264, 436, 1763, 68, 2539, 68, 2004, 68, 1038, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 268, 320, 5063, 741, 496, 2584, 437, 1534, 1279, 204, 268, 407, 273, 465, 308, 204, 204, 264, 314, 666, 6942, 2471, 311, 2652, 407, 3003, 204, 264, 311, 68, 873, 289, 2652, 68, 3309, 68, 932, 13, 873, 14, 204, 264, 311, 68, 2644, 289, 2652, 68, 3309, 68, 932, 13, 2644, 14, 204, 264, 311, 68, 655, 289, 2652, 68, 3309, 68, 932, 13, 655, 14, 204, 264, 311, 68, 574, 289, 2652, 68, 3309, 68, 932, 13, 574, 14, 204, 204, 264, 314, 3291, 6942, 2471, 311, 1763, 3263, 204, 264, 13170, 68, 2569, 68, 2539, 289, 311, 68, 873, 13, 2569, 68, 2539, 14, 204, 264, 13170, 68, 2569, 68, 2539, 68, 2004, 68, 1038, 289, 311, 68, 655, 13, 2569, 68, 2539, 68, 2004, 68, 1038, 14, 204, 204, 264, 314, 1295, 275, 13170, 3263, 204, 264, 456, 13, 10255, 756, 68, 2569, 68, 2539, 1447, 226, 314, 3215, 31, 2552, 45, 597, 368, 17, 379, 74, 597, 368, 17, 379, 81, 597, 571, 17, 379, 84, 597, 435, 17, 7537, 597, 368, 17, 379, 18469, 368, 17, 379, 60, 597, 368, 17, 379, 87, 597, 368, 17, 379, 73, 597, 368, 17, 42311, 597, 368, 98, 204, 264, 456, 13, 10255, 756, 68, 2569, 68, 2539, 68, 2004, 68, 1038, 13, 22, 17, 435, 602, 226, 314, 3215, 31, 551, 24, 66, 204, 0, 837, 275, 5086, 20388, 677, 17, 22249, 20117, 348, 2263, 329, 9104, 14453, 1465, 45243, 292, 275, 5926, 302, 2263, 4489, 275, 1519, 348, 1182, 2263, 18, 9315, 424, 19, 14614, 23460, 16328, 16879, 17, 12574, 302, 5140, 17, 13129, 329, 3221, 16879, 17, 329, 1910, 5955, 12488, 2080, 1742, 21035, 2263, 424, 19, 3355, 17, 2404, 302, 6108, 292, 15913, 329, 8941, 17, 1910, 302, 275, 424, 12442, 1466, 41672, 19, 592, 32964, 17, 448, 273, 1660, 10996, 22843, 1182, 9000, 516, 17, 275, 24383, 302, 275, 34435, 322, 1520, 275, 15792, 302, 14628, 329, 34435, 17, 650, 12732, 14, 16687, 379, 13904, 5003, 332, 18, 5645, 12, 928, 11188, 17259, 348, 21035, 2263, 424, 329, 1425, 13335, 448, 273, 47106, 348, 4141, 275, 15792, 302, 10748, 1594, 1212, 48066, 322, 22481, 15223, 14, 2614, 275, 548, 19, 56, 19, 42157, 18237, 19, 1058, 4960, 22161, 5378, 17, 3113, 17, 329, 5094, 12759, 302, 275, 7159, 1283, 2986, 292, 275, 5946, 40335, 329, 11266, 6193, 560, 332, 9155, 322, 17345, 12360, 348, 12016, 329, 26958, 14, 18019, 412, 18, 1794, 523, 10748, 677, 3685, 40561, 412, 18, 1794, 19, 8265, 523, 48114, 6423, 17, 4613, 15909, 6531, 17, 329, 3594, 18414, 18582, 19, 334, 9206, 1425, 11208, 8916, 12759, 302, 11266, 338, 4383, 1225, 48696, 13013, 560, 650, 60, 15223, 329, 332, 9155, 19, 204, 18150, 35565, 23126, 204, 32960, 1283, 275, 6838, 1922, 2154, 302, 10290, 2986, 348, 2263, 424, 21446, 329, 332, 9155, 11266, 204, 8891, 81, 560, 332, 9155, 204, 6674, 24000, 17, 15845, 17, 5269, 5439, 204, 22288, 727, 6194, 13279, 31, 204, 38, 9155, 15091, 31433, 35565, 204, 21841, 299, 10748, 292, 275, 14667, 677, 31, 28797, 2991, 1407, 34699, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 9186, 12885, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 311, 1640, 8916, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 711, 68, 932, 322, 325, 330, 2838, 302, 711, 322, 74, 19, 76, 2458, 908, 17, 10473, 17, 3986, 14, 204, 268, 2851, 322, 325, 330, 8953, 302, 275, 711, 322, 9899, 14, 204, 268, 1724, 322, 325, 330, 13279, 302, 275, 711, 204, 268, 1666, 322, 325, 330, 13131, 302, 275, 711, 204, 268, 1966, 68, 834, 322, 2664, 330, 15811, 1330, 275, 711, 867, 1966, 204, 264, 320, 204, 204, 264, 13083, 68, 8516, 68, 10337, 289, 551, 204, 268, 2448, 718, 491, 379, 596, 2008, 204, 268, 2448, 9041, 491, 379, 18928, 2008, 204, 268, 2448, 1270, 491, 379, 5655, 2008, 204, 264, 2437, 204, 204, 264, 711, 68, 932, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2177, 17, 5426, 34, 7190, 68, 8516, 68, 10337, 14, 204, 264, 2851, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2177, 17, 3749, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2562, 14, 204, 264, 1666, 289, 1094, 19, 7320, 374, 226, 314, 22364, 311, 40211, 348, 6397, 1666, 204, 264, 1966, 68, 834, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 283, 1954, 327, 19, 761, 68, 932, 98, 338, 463, 327, 19, 1778, 2495, 204, 0, 531, 1907, 19, 11761, 532, 2111, 17, 636, 68, 1386, 68, 276, 68, 7793, 204, 531, 3061, 7435, 19, 11949, 395, 11827, 532, 392, 3128, 269, 449, 204, 531, 3061, 7435, 19, 3174, 532, 4382, 68, 9085, 204, 531, 2617, 1618, 532, 6993, 204, 204, 461, 636, 68, 668, 68, 29820, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4491, 830, 1640, 3695, 497, 275, 1104, 329, 2111, 275, 1112, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1112, 1472, 440, 1640, 3695, 19, 204, 264, 320, 204, 264, 314, 4491, 830, 1640, 3695, 497, 275, 1104, 204, 264, 1640, 68, 4810, 289, 6993, 19, 2856, 19, 668, 374, 204, 264, 407, 2111, 13, 1443, 17, 379, 998, 19, 2079, 491, 2552, 4046, 68, 4810, 597, 1640, 68, 4810, 1937, 204, 204, 461, 2111, 68, 3366, 68, 2225, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4784, 275, 2852, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 2852, 1472, 19, 204, 264, 320, 204, 264, 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, 407, 2111, 13, 1443, 17, 379, 3366, 19, 2079, 491, 12881, 204, 204, 461, 2906, 68, 3366, 68, 1803, 13, 1443, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1426, 2852, 1813, 2164, 329, 2111, 275, 1640, 3695, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1640, 3695, 1472, 440, 15182, 11040, 19, 204, 264, 320, 204, 264, 397, 824, 19, 1939, 564, 379, 5016, 597, 204, 268, 314, 763, 275, 1813, 1484, 497, 275, 4559, 824, 204, 268, 1813, 68, 2120, 289, 824, 19, 5016, 19, 505, 611, 3366, 9468, 336, 534, 204, 268, 314, 763, 275, 2852, 2992, 497, 275, 1813, 1484, 204, 268, 2852, 289, 636, 68, 3366, 68, 5099, 13, 1803, 68, 2120, 14, 204, 268, 314, 763, 275, 575, 677, 1813, 2992, 204, 268, 575, 68, 1803, 289, 322, 3366, 19, 10204, 17, 2852, 19, 11117, 14, 204, 264, 902, 31, 204, 268, 314, 763, 275, 575, 677, 1813, 2992, 497, 275, 6379, 824, 204, 268, 575, 68, 1803, 289, 322, 996, 13, 1443, 19, 4252, 736, 2603, 11028, 818, 13, 1443, 19, 4252, 736, 5515, 13649, 204, 204, 264, 314, 763, 275, 15182, 11040, 2614, 273, 931, 18, 21015, 3441, 204, 264, 15182, 68, 29820, 289, 636, 68, 43419, 68, 29820, 13, 816, 68, 1803, 14, 204, 264, 314, 4784, 275, 1640, 3695, 1472, 440, 15182, 11040, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 4810, 19, 2079, 491, 2552, 4046, 68, 655, 597, 15182, 68, 29820, 1937, 204, 204, 461, 636, 68, 3366, 68, 5099, 13, 1803, 68, 2120, 31, 394, 14, 393, 392, 3128, 269, 449, 31, 204, 264, 320, 204, 264, 763, 2852, 2992, 497, 273, 1813, 1484, 974, 392, 3128, 269, 449, 11363, 13569, 19, 204, 204, 264, 457, 31, 204, 268, 1813, 68, 2120, 322, 325, 330, 334, 1813, 1484, 311, 636, 2852, 2992, 348, 19, 204, 204, 264, 475, 31, 204, 268, 392, 3128, 269, 449, 31, 334, 2852, 2992, 19, 204, 264, 320, 204, 264, 314, 666, 273, 392, 3128, 269, 449, 11363, 13569, 204, 264, 11363, 13569, 289, 392, 3128, 269, 449, 374, 204, 264, 314, 763, 275, 2852, 2992, 497, 275, 1813, 1484, 204, 264, 407, 11363, 13569, 19, 42374, 13, 1803, 68, 2120, 14, 204, 204, 461, 636, 68, 43419, 68, 29820, 13, 816, 68, 1803, 31, 927, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 15182, 11040, 2614, 273, 931, 18, 21015, 3441, 19, 204, 204, 264, 457, 31, 204, 268, 575, 68, 1803, 322, 2644, 330, 334, 575, 677, 1813, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 15182, 11040, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 15182, 11040, 204, 264, 15182, 68, 29820, 289, 1306, 204, 264, 314, 4491, 830, 11040, 497, 275, 1104, 204, 264, 11040, 289, 6993, 19, 2856, 19, 668, 374, 204, 264, 314, 1861, 1048, 848, 1640, 204, 264, 348, 1640, 292, 11040, 31, 204, 268, 314, 763, 275, 1640, 677, 2992, 204, 268, 1640, 68, 5099, 289, 322, 4046, 19, 10204, 17, 1640, 19, 11117, 14, 204, 268, 314, 888, 275, 1759, 1283, 275, 575, 677, 1813, 2992, 329, 275, 1640, 677, 2992, 204, 268, 1759, 289, 4382, 68, 9085, 13, 816, 68, 1803, 17, 1640, 68, 5099, 789, 30053, 204, 268, 314, 778, 397, 275, 1759, 353, 2614, 931, 6172, 204, 268, 397, 1759, 962, 931, 31, 204, 305, 314, 666, 273, 1640, 726, 440, 588, 17, 1995, 17, 329, 1276, 204, 305, 1640, 68, 1386, 289, 463, 204, 485, 379, 417, 597, 1640, 19, 417, 17, 204, 485, 379, 2820, 597, 1640, 19, 2820, 17, 204, 485, 379, 359, 597, 1640, 19, 359, 204, 305, 1211, 204, 305, 314, 1255, 275, 1640, 726, 311, 275, 458, 302, 15182, 11040, 204, 305, 15182, 68, 29820, 19, 1223, 13, 4046, 68, 1386, 14, 204, 264, 314, 455, 275, 458, 302, 15182, 11040, 204, 264, 407, 15182, 68, 29820, 204, 204, 461, 636, 68, 4046, 68, 4810, 13, 1443, 17, 1640, 68, 359, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4784, 275, 1640, 3695, 1472, 19, 204, 204, 264, 457, 31, 204, 268, 824, 322, 9223, 330, 334, 790, 824, 726, 19, 204, 268, 1640, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 1640, 19, 204, 204, 264, 475, 31, 204, 268, 4638, 31, 334, 5703, 1640, 3695, 1472, 19, 204, 264, 320, 204, 264, 314, 763, 275, 1640, 726, 521, 980, 273, 9485, 908, 397, 490, 1583, 508, 1337, 204, 264, 1640, 289, 636, 68, 1386, 68, 276, 68, 7793, 13, 12909, 17, 11491, 34, 4046, 68, 359, 14, 204, 264, 314, 4784, 275, 1640, 3695, 1472, 440, 275, 1640, 677, 588, 204, 264, 407, 2111, 13, 1443, 17, 379, 4046, 12930, 19, 2079, 491, 2552, 417, 68, 522, 68, 4046, 597, 1640, 19, 417, 1937, 204, 0, 8, 2026, 311, 20645, 2877, 316, 292, 6057, 204, 204, 13244, 2877, 344, 353, 273, 1216, 496, 5018, 4449, 424, 1728, 311, 2885, 521, 7361, 5094, 1019, 19, 1547, 353, 273, 798, 302, 41790, 496, 5814, 732, 302, 3542, 6058, 311, 1900, 3705, 10701, 275, 933, 302, 8696, 424, 19, 204, 204, 658, 2935, 353, 20645, 2877, 344, 36, 204, 204, 13244, 2877, 344, 5628, 6432, 275, 3542, 9767, 302, 273, 424, 758, 329, 26495, 490, 10701, 275, 933, 302, 275, 424, 1728, 19, 4596, 8205, 754, 17, 572, 618, 2885, 5094, 1019, 496, 1741, 508, 444, 2755, 311, 451, 7301, 19, 1058, 353, 3667, 3870, 974, 3542, 6058, 17, 928, 353, 273, 12721, 1352, 496, 1094, 273, 3542, 3633, 1283, 970, 521, 1182, 2558, 19, 204, 204, 658, 2026, 311, 20645, 2877, 316, 292, 6057, 204, 204, 1449, 40552, 316, 292, 6057, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 2101, 275, 424, 1728, 1416, 11612, 275, 424, 1728, 1025, 437, 6057, 20109, 19, 204, 23, 19, 930, 11345, 275, 480, 1143, 7243, 741, 1416, 1974, 275, 480, 1143, 7243, 741, 311, 949, 275, 3542, 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, 6058, 1581, 19, 204, 24, 19, 930, 2101, 275, 1673, 610, 18, 876, 329, 1581, 2072, 1416, 11612, 275, 1673, 610, 18, 876, 329, 275, 1581, 2072, 1025, 275, 1581, 469, 289, 14566, 465, 308, 17, 1273, 309, 353, 275, 5372, 329, 308, 353, 275, 469, 18, 9097, 19, 204, 25, 19, 930, 13244, 2877, 316, 275, 424, 1728, 1416, 1974, 275, 1581, 311, 40552, 316, 275, 424, 1728, 560, 18120, 275, 610, 18, 1309, 496, 872, 3480, 311, 40552, 316, 329, 8397, 275, 3310, 469, 18, 1309, 19, 204, 204, 658, 4496, 6057, 884, 88, 39561, 23742, 204, 204, 1449, 40552, 316, 974, 273, 11250, 6338, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 5964, 273, 11250, 6338, 1416, 5988, 275, 424, 1728, 329, 4974, 523, 275, 1622, 35116, 1001, 2963, 292, 275, 1407, 17432, 8951, 19, 204, 23, 19, 930, 4421, 273, 9767, 1054, 1416, 15169, 18, 4357, 523, 275, 6338, 329, 2694, 1622, 4421, 32729, 1054, 10559, 204, 24, 19, 930, 2101, 275, 2072, 348, 275, 9767, 1054, 1416, 11612, 275, 2072, 348, 275, 9767, 1054, 292, 275, 8320, 2871, 19, 204, 25, 19, 930, 11345, 275, 9767, 1054, 1581, 1416, 1974, 275, 9767, 1054, 1581, 311, 40552, 316, 275, 424, 1728, 19, 204, 204, 658, 4496, 6057, 884, 88, 38359, 5867, 204, 204, 1449, 40552, 316, 974, 275, 38359, 741, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 10894, 275, 424, 1728, 1416, 5988, 275, 424, 1728, 329, 4974, 523, 275, 1622, 23277, 4400, 1001, 2963, 292, 275, 1407, 17432, 8951, 19, 204, 23, 19, 930, 2101, 275, 2072, 348, 275, 10929, 1416, 11612, 275, 2072, 348, 275, 10929, 292, 275, 8320, 2871, 19, 204, 24, 19, 930, 11345, 275, 1581, 311, 40552, 316, 1416, 1974, 275, 1581, 311, 40552, 316, 275, 424, 1728, 19, 204, 204, 658, 11831, 657, 302, 20645, 2877, 344, 204, 204, 13244, 2877, 344, 869, 4569, 18113, 17, 2864, 31, 204, 204, 15, 930, 837, 18316, 16631, 1416, 20645, 2877, 657, 529, 26075, 447, 31756, 17, 754, 275, 3666, 302, 275, 40552, 344, 1741, 508, 444, 3060, 17590, 19, 204, 15, 930, 21495, 336, 560, 424, 1728, 1416, 20645, 2877, 657, 529, 9122, 560, 275, 424, 1728, 496, 529, 1376, 19, 828, 275, 933, 302, 275, 424, 1728, 353, 9122, 17, 1675, 275, 40552, 344, 1741, 508, 444, 3060, 10205, 19, 204, 15, 930, 21495, 336, 560, 3263, 2755, 1416, 20645, 2877, 657, 292, 6057, 529, 9122, 560, 275, 3263, 2755, 19, 7954, 6057, 1583, 874, 4569, 1792, 40552, 344, 3263, 17, 1250, 1741, 508, 830, 444, 12697, 348, 275, 424, 758, 496, 872, 529, 4636, 440, 19, 204, 204, 658, 29772, 6235, 8716, 336, 15195, 204, 204, 15, 930, 3728, 353, 20645, 2877, 344, 18931, 20645, 2877, 344, 353, 273, 12721, 1216, 496, 5018, 4449, 424, 1728, 311, 7361, 1019, 7066, 302, 275, 8696, 933, 19, 204, 15, 930, 3728, 529, 275, 36633, 302, 20645, 2877, 344, 292, 6057, 18931, 20645, 2877, 1070, 292, 6057, 869, 4569, 17428, 17, 2864, 9295, 9471, 37801, 329, 3705, 1609, 523, 4449, 424, 19, 204, 15, 930, 2920, 4128, 3665, 20645, 2877, 316, 1594, 292, 6057, 18931, 20645, 2877, 1070, 424, 292, 6057, 353, 273, 3277, 1352, 496, 5628, 17318, 275, 424, 1728, 17, 974, 437, 40552, 344, 741, 17, 329, 9471, 37801, 19, 204, 15, 930, 2920, 4176, 712, 316, 529, 20645, 2877, 657, 292, 6057, 18931, 334, 3666, 302, 40552, 657, 292, 6057, 8788, 523, 275, 424, 1728, 1376, 329, 275, 40552, 344, 10395, 19, 204, 15, 930, 3728, 21098, 16575, 444, 11328, 336, 4168, 20645, 2877, 1070, 292, 6057, 18931, 4168, 40552, 1070, 292, 6057, 17, 2506, 275, 424, 1728, 17, 40552, 344, 10395, 17, 329, 3666, 302, 275, 40552, 344, 19, 0, 315, 204, 1834, 2413, 3192, 275, 667, 1650, 3975, 348, 273, 3017, 2150, 1650, 19, 204, 3837, 13401, 1586, 424, 497, 273, 10044, 510, 329, 752, 424, 17, 1675, 25006, 437, 2966, 2399, 19, 204, 315, 204, 204, 531, 4433, 532, 3017, 17, 2111, 68, 3143, 204, 647, 287, 9648, 448, 11055, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1061, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 461, 1137, 68, 7491, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1385, 1586, 424, 497, 273, 10044, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 10044, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 9387, 1586, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 329, 1137, 275, 10044, 510, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 510, 31, 204, 305, 407, 11055, 19, 986, 13, 553, 17, 40304, 34, 9648, 19, 18984, 4929, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 510, 4644, 204, 268, 456, 13, 75, 7, 596, 4644, 954, 424, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1137, 68, 935, 68, 481, 374, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 752, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 9387, 752, 424, 19, 204, 264, 320, 204, 264, 314, 8111, 752, 424, 322, 11813, 2549, 444, 10741, 440, 2641, 424, 4644, 3975, 14, 204, 264, 424, 289, 463, 204, 268, 379, 359, 597, 551, 22, 648, 204, 268, 379, 805, 597, 2470, 3189, 1963, 4537, 19, 4975, 337, 979, 19, 301, 20, 1551, 323, 3418, 20, 2300, 2353, 18, 533, 728, 402, 18, 31759, 18, 404, 18, 70, 49072, 366, 555, 32543, 18, 285, 18, 15476, 3418, 18, 1268, 7387, 6692, 18, 7267, 839, 204, 264, 1211, 204, 264, 407, 1246, 19, 1362, 13, 481, 14, 204, 204, 37, 748, 19, 3955, 19255, 204, 461, 1112, 374, 393, 394, 31, 204, 264, 320, 204, 264, 4784, 275, 1112, 2966, 2399, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 44230, 2966, 2399, 19, 204, 264, 320, 204, 264, 314, 1385, 1586, 329, 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, 752, 424, 204, 264, 954, 68, 481, 289, 1137, 68, 7491, 68, 481, 16777, 1087, 19, 9648, 534, 204, 264, 752, 68, 481, 289, 1137, 68, 935, 68, 481, 374, 204, 615, 264, 314, 4784, 275, 1112, 2399, 440, 275, 3271, 424, 204, 264, 407, 2111, 68, 3143, 499, 998, 19, 2079, 528, 954, 34, 1087, 68, 481, 17, 2388, 34, 935, 68, 481, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 778, 397, 275, 1650, 353, 2545, 1523, 5104, 521, 1924, 273, 1354, 18, 1054, 4510, 204, 264, 532, 2454, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 1323, 368, 31, 204, 268, 314, 2466, 275, 1650, 1924, 275, 471, 3391, 70, 14857, 204, 268, 497, 731, 3804, 532, 7411, 204, 268, 7411, 13, 748, 17, 1034, 68, 805, 833, 3189, 1963, 897, 649, 18989, 5779, 19, 8750, 19, 936, 15357, 204, 264, 902, 31, 204, 268, 314, 2466, 275, 1650, 5104, 204, 268, 740, 19, 1777, 13, 4561, 34, 1021, 17, 2442, 833, 21, 19, 21, 19, 21, 19, 21, 491, 2054, 34, 5303, 473, 14, 204, 0, 1380, 12636, 302, 552, 19, 40, 19, 43, 19, 204, 204, 673, 3564, 302, 31240, 322, 38799, 5772, 9533, 9865, 14, 529, 448, 6353, 31, 204, 204, 22, 19, 930, 673, 552, 19, 40, 19, 43, 19, 302, 970, 521, 1182, 886, 2950, 444, 3114, 1194, 1169, 1051, 302, 1475, 11599, 204, 262, 338, 1165, 31, 334, 552, 19, 40, 19, 43, 19, 302, 2247, 17, 1916, 17, 329, 3528, 353, 435, 17, 928, 353, 2202, 1194, 830, 275, 800, 886, 19, 204, 204, 23, 19, 930, 3719, 1051, 542, 353, 273, 2479, 302, 275, 904, 886, 17, 1017, 552, 19, 40, 19, 43, 19, 1120, 444, 496, 5527, 542, 11599, 204, 262, 338, 1165, 31, 1132, 353, 275, 552, 19, 40, 19, 43, 19, 302, 1132, 17, 4236, 17, 329, 2846, 19, 204, 204, 24, 19, 930, 673, 552, 19, 40, 19, 43, 19, 302, 275, 886, 353, 275, 1351, 302, 275, 2323, 2727, 3857, 11599, 204, 262, 338, 1165, 31, 334, 552, 19, 40, 19, 43, 19, 302, 2905, 329, 4662, 353, 2905, 17, 928, 353, 275, 1351, 302, 275, 2323, 2727, 3857, 435, 329, 1168, 19, 204, 262, 338, 9076, 31, 4682, 368, 353, 4501, 273, 2323, 2479, 302, 830, 886, 17, 490, 353, 5971, 508, 5052, 448, 273, 2323, 2479, 17, 448, 490, 353, 14733, 19, 0, 647, 11609, 204, 531, 11609, 19, 1549, 532, 5453, 204, 647, 1361, 204, 204, 8, 1359, 719, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 14, 204, 204, 8, 968, 3454, 204, 9237, 289, 388, 24676, 68, 40578, 5754, 68, 17672, 68, 9237, 7, 226, 314, 4546, 440, 1214, 1363, 1948, 204, 14984, 289, 40924, 7, 226, 314, 8476, 4016, 204, 15831, 289, 5075, 1207, 226, 314, 3331, 204, 204, 676, 16582, 8759, 13, 6792, 19, 8759, 330, 204, 264, 320, 38, 16582, 1363, 496, 32388, 311, 4802, 5453, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 12413, 275, 1363, 1279, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 268, 370, 19, 2196, 68, 4830, 289, 25384, 12327, 204, 204, 264, 4470, 436, 523, 68, 2659, 13, 327, 330, 204, 268, 320, 5653, 16696, 1330, 275, 1363, 353, 7829, 1279, 204, 268, 1361, 19, 1270, 499, 673, 1363, 353, 7829, 1280, 204, 204, 264, 4470, 436, 523, 68, 2196, 68, 718, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 908, 31, 5453, 19, 7352, 596, 330, 204, 268, 320, 16514, 1354, 2744, 1279, 204, 268, 397, 2381, 13, 718, 17, 5453, 19, 7352, 2995, 330, 204, 305, 4177, 7773, 19, 3345, 499, 1962, 1354, 19, 2982, 810, 2528, 1280, 204, 268, 902, 31, 204, 305, 1361, 19, 718, 13, 718, 14, 204, 204, 676, 8476, 88, 13, 6792, 19, 28886, 330, 204, 264, 320, 38, 3599, 302, 5453, 348, 275, 1363, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1363, 31, 16582, 8759, 330, 204, 268, 320, 12413, 275, 5453, 1279, 204, 268, 370, 19, 2511, 289, 1363, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 9226, 528, 1340, 1022, 21983, 273, 15399, 943, 311, 275, 3906, 1280, 204, 264, 4470, 436, 15399, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 21983, 273, 15399, 943, 311, 275, 3906, 1279, 204, 268, 4177, 7773, 19, 3345, 499, 5975, 5397, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 8668, 528, 1340, 1022, 5995, 275, 1363, 677, 26207, 1280, 204, 264, 4470, 436, 17303, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 5995, 275, 1363, 677, 26207, 1279, 204, 268, 26207, 289, 370, 19, 2511, 19, 29824, 540, 3861, 204, 268, 4177, 7773, 19, 3345, 13, 75, 7, 53, 299, 31, 463, 29824, 4567, 23, 75, 98, 1015, 431, 204, 204, 461, 667, 1293, 204, 264, 320, 6552, 275, 1363, 1279, 204, 264, 1363, 289, 16582, 8759, 374, 204, 264, 1363, 19, 826, 68, 25056, 13, 32714, 13, 2511, 602, 204, 264, 1363, 19, 1777, 13, 9237, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 529, 275, 5872, 18, 398, 10537, 302, 275, 3888, 329, 6306, 31, 204, 204, 777, 9240, 368, 4626, 2935, 677, 275, 4628, 1916, 20, 2500, 8016, 311, 1163, 10658, 3099, 36, 204, 777, 4706, 4626, 334, 4628, 1916, 20, 2500, 8016, 311, 1163, 10658, 3099, 353, 571, 20, 25, 19, 204, 204, 777, 9240, 435, 4626, 1131, 275, 1136, 302, 275, 1324, 17, 273, 4712, 8316, 4236, 5967, 8287, 521, 35204, 329, 3528, 5967, 1466, 2312, 685, 348, 17306, 19, 828, 275, 4712, 15975, 2080, 368, 17, 45069, 5967, 17, 1662, 1910, 1466, 1824, 523, 275, 43328, 521, 292, 23998, 36, 204, 777, 4706, 4626, 2416, 1020, 275, 542, 302, 5967, 1824, 17, 5400, 275, 542, 302, 5967, 8287, 521, 35204, 329, 275, 542, 302, 5967, 2312, 685, 348, 17306, 497, 275, 2171, 542, 302, 5967, 19, 226, 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, 22, 17, 45069, 338, 4236, 289, 368, 17, 35913, 204, 22, 17, 35913, 338, 3528, 289, 368, 17, 26959, 204, 2551, 17, 275, 542, 302, 5967, 1824, 353, 368, 17, 26959, 19, 204, 204, 777, 9240, 571, 4626, 20239, 275, 7448, 31, 720, 465, 681, 289, 5478, 204, 777, 4706, 4626, 720, 465, 681, 289, 1233, 19, 204, 204, 777, 9240, 681, 4626, 2935, 677, 275, 1502, 302, 1233, 292, 275, 542, 1233, 2177, 17, 2934, 26, 36, 204, 777, 4706, 4626, 592, 275, 542, 1233, 2177, 17, 2934, 26, 17, 275, 1502, 302, 1233, 353, 292, 275, 7584, 18, 427, 36211, 2481, 19, 204, 204, 777, 9240, 720, 4626, 2935, 677, 275, 6276, 2661, 302, 4854, 36, 204, 777, 4706, 4626, 334, 6276, 2661, 302, 4854, 353, 6177, 19, 204, 204, 777, 9240, 887, 4626, 10643, 758, 353, 437, 1763, 302, 2090, 6249, 36, 204, 777, 4706, 4626, 13923, 6249, 874, 275, 1729, 5081, 19, 1346, 1763, 302, 2090, 6249, 353, 368, 20, 25, 329, 571, 20, 25, 19, 0, 4377, 275, 11929, 3263, 31, 204, 204, 9, 75, 13, 76, 13, 93, 602, 289, 283, 13, 22, 20, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 7078, 440, 273, 4064, 302, 686, 93, 688, 19484, 500, 9, 204, 204, 9, 76, 13, 75, 13, 93, 602, 289, 357, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 7078, 440, 273, 4064, 302, 686, 93, 688, 19484, 500, 9, 204, 204, 2310, 618, 17219, 496, 1855, 11929, 3263, 874, 275, 1729, 4064, 25286, 17, 686, 93, 688, 19484, 500, 2543, 5850, 496, 1855, 686, 75, 13, 93, 3920, 329, 686, 76, 13, 93, 3920, 529, 23366, 630, 686, 93, 289, 500, 2176, 716, 204, 1449, 1020, 275, 3509, 3263, 686, 75, 13, 93, 3920, 329, 686, 76, 13, 93, 9852, 2249, 677, 7009, 275, 800, 11929, 3263, 31, 204, 204, 22, 19, 686, 75, 13, 76, 13, 93, 602, 289, 283, 13, 22, 20, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 204, 204, 3661, 686, 90, 289, 357, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 4742, 5512, 17, 686, 75, 13, 90, 14, 289, 688, 1209, 96, 22, 20, 90, 15361, 22, 20, 90, 2246, 23, 465, 368, 98, 289, 688, 1209, 96, 22, 20, 90, 1134, 22, 20, 90, 67, 23, 465, 368, 98, 289, 688, 1209, 96, 90, 1134, 90, 67, 23, 465, 368, 4742, 204, 204, 2551, 17, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 4742, 204, 204, 23, 19, 686, 76, 13, 75, 13, 93, 602, 289, 357, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 1617, 204, 204, 3661, 686, 91, 289, 283, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 4742, 5512, 17, 686, 76, 13, 91, 14, 289, 688, 1209, 96, 22, 465, 322, 22, 20, 91, 2246, 23, 1134, 22, 20, 91, 98, 289, 688, 1209, 96, 91, 67, 23, 465, 368, 1134, 91, 4742, 204, 204, 4237, 17, 497, 275, 1043, 1581, 17, 572, 2379, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 4742, 4087, 17, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 1583, 508, 5104, 1696, 497, 275, 1350, 11929, 741, 19, 13472, 17, 572, 618, 6767, 397, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 12478, 275, 800, 686, 76, 13, 75, 13, 93, 602, 2176, 204, 204, 18106, 686, 75, 13, 93, 14, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 1025, 686, 76, 13, 75, 13, 93, 602, 13137, 204, 204, 9, 76, 65, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 14, 289, 688, 1209, 96, 22, 465, 688, 1735, 3453, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 2277, 1633, 2246, 23, 4773, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 96, 22, 465, 688, 1209, 96, 93, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 3164, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 465, 610, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 3164, 1209, 96, 22, 465, 435, 93, 67, 23, 465, 610, 67, 25, 465, 610, 67, 23, 15361, 22, 16, 93, 67, 23, 2246, 23, 16443, 1209, 96, 93, 1134, 22, 16, 93, 67, 23, 3734, 289, 688, 1209, 96, 22, 465, 571, 93, 67, 23, 465, 610, 67, 25, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 465, 435, 93, 67, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 11417, 22, 16, 93, 67, 23, 2246, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 465, 688, 1209, 96, 23, 93, 67, 23, 1134, 93, 13, 22, 16, 93, 67, 23, 4150, 289, 688, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 98, 465, 688, 1209, 96, 23, 93, 1134, 22, 16, 93, 67, 23, 1617, 204, 204, 1834, 1583, 508, 5104, 5620, 311, 1743, 1209, 96, 22, 16, 93, 67, 23, 1134, 93, 1617, 448, 800, 19, 334, 18643, 3237, 353, 292, 14958, 686, 76, 13, 93, 14, 289, 688, 1209, 96, 22, 1134, 93, 1617, 5104, 2900, 11050, 3356, 4059, 490, 497, 686, 76, 13, 75, 13, 93, 602, 2176, 716, 204, 4377, 686, 75, 13, 76, 13, 93, 602, 289, 688, 1209, 96, 93, 1134, 93, 67, 23, 465, 368, 1617, 329, 686, 76, 13, 75, 13, 93, 602, 289, 688, 1209, 96, 22, 16, 93, 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 ]