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

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 1662, 3171, 302, 275, 3859, 677, 2755, 8497, 13887, 872, 1120, 7137, 19, 204, 6895, 37597, 302, 2075, 10692, 872, 5710, 311, 19860, 17, 521, 275, 2264, 302, 496, 10692, 17, 1214, 471, 17247, 1120, 444, 9002, 275, 1729, 4710, 2501, 19, 7609, 2459, 440, 275, 1729, 8497, 1483, 17, 1101, 30125, 273, 5955, 12347, 329, 273, 5698, 10692, 17, 1784, 3848, 874, 275, 1729, 471, 17247, 16527, 302, 275, 2264, 348, 3859, 19, 3355, 17, 1422, 529, 20252, 3857, 10625, 523, 3855, 872, 529, 273, 10742, 521, 6403, 2384, 19, 1346, 6403, 2384, 677, 471, 17247, 1236, 6397, 5178, 1025, 1747, 1704, 6757, 8497, 7582, 1330, 15628, 275, 471, 17247, 19, 1058, 618, 11200, 1910, 2459, 6738, 6757, 7582, 5814, 1475, 292, 44512, 348, 13887, 19, 1346, 2384, 353, 6028, 6403, 397, 1048, 275, 2523, 302, 5773, 32, 25642, 292, 273, 2548, 17766, 299, 273, 5746, 5092, 1194, 273, 565, 31155, 677, 5746, 32, 17470, 521, 5289, 1101, 508, 1381, 276, 4618, 32, 869, 6757, 1415, 529, 1236, 6397, 13890, 32, 16413, 4884, 16088, 292, 275, 24551, 6171, 32, 521, 869, 2979, 698, 19, 1765, 5395, 1483, 523, 1415, 353, 6028, 273, 10742, 17, 2013, 275, 17638, 4446, 5084, 19, 204, 9501, 302, 275, 8373, 204, 8395, 13898, 1714, 353, 9002, 17, 275, 471, 17247, 4183, 5178, 292, 275, 2755, 7582, 302, 275, 24472, 17, 521, 292, 275, 1322, 302, 273, 10742, 2384, 275, 24472, 329, 1704, 6757, 19, 2416, 3822, 2755, 7582, 17, 275, 20129, 529, 26021, 497, 275, 1113, 7582, 19, 29148, 6651, 529, 22492, 521, 904, 6651, 302, 7582, 497, 24196, 19, 12022, 3604, 2255, 1169, 18893, 10872, 17, 1702, 448, 10684, 329, 1259, 18893, 19, 1346, 4916, 5165, 1741, 444, 6999, 348, 3153, 496, 874, 2979, 698, 630, 2941, 17, 521, 874, 4916, 2979, 698, 496, 529, 292, 10692, 19, 1058, 5165, 618, 10140, 10625, 523, 4316, 1302, 17, 1101, 5971, 933, 497, 686, 1909, 17, 1207, 311, 686, 2177, 17, 1207, 19, 1058, 542, 353, 1425, 26021, 497, 275, 7582, 311, 3822, 275, 2423, 2755, 7582, 542, 19, 204, 3719, 1214, 2423, 7582, 542, 353, 5084, 686, 1719, 17, 1207, 17, 2755, 13481, 529, 508, 1376, 292, 8397, 1214, 471, 17247, 19, 3355, 17, 397, 1214, 2423, 7582, 12034, 4166, 808, 2434, 17, 2755, 13481, 1120, 1425, 444, 6999, 292, 275, 471, 17247, 19, 11815, 2090, 7582, 17, 13481, 1425, 874, 20129, 348, 10436, 3250, 329, 9144, 10436, 40147, 496, 3124, 275, 1113, 9144, 542, 19, 35331, 523, 48268, 1714, 329, 2523, 17, 275, 13713, 4316, 1741, 3020, 437, 9144, 10436, 40147, 302, 630, 3406, 686, 2985, 17, 1207, 19, 12627, 19914, 2847, 302, 275, 2755, 13481, 353, 6028, 2755, 348, 275, 4316, 311, 14863, 311, 5798, 15980, 322, 28, 2847, 348, 6403, 2459, 440, 2804, 14, 329, 353, 4327, 311, 275, 471, 17247, 1435, 4183, 19, 204, 17550, 830, 302, 1605, 542, 874, 1742, 3392, 1250, 529, 4481, 1025, 273, 6542, 1581, 19, 334, 2755, 7582, 353, 4327, 311, 275, 1598, 2847, 302, 2755, 13481, 311, 636, 275, 14201, 2755, 7582, 322, 7690, 46, 789, 334, 332, 12710, 353, 11983, 560, 5436, 311, 12995, 2847, 10625, 523, 275, 2384, 677, 1714, 17, 329, 1675, 4327, 311, 273, 678, 37836, 4916, 12130, 311, 636, 275, 471, 17247, 19, 828, 275, 2384, 17, 521, 6757, 302, 275, 2384, 17, 874, 2804, 17, 275, 471, 17247, 353, 6167, 560, 275, 1690, 302, 2804, 311, 636, 275, 2423, 471, 17247, 19, 204, 17550, 275, 2423, 471, 17247, 869, 1742, 9002, 17, 275, 542, 353, 4481, 1025, 437, 471, 17247, 1435, 19, 334, 471, 17247, 1435, 14589, 275, 3859, 1662, 3171, 8497, 13887, 273, 2384, 1856, 444, 25370, 19, 1058, 1583, 508, 1869, 496, 275, 10692, 353, 19175, 756, 311, 5190, 872, 496, 4710, 1690, 19, 334, 3859, 8497, 13887, 19747, 4230, 5710, 311, 5190, 1182, 521, 2202, 8497, 13887, 19, 1058, 1690, 353, 10742, 523, 1662, 3171, 13887, 353, 2755, 348, 275, 3859, 311, 732, 17, 448, 2590, 448, 904, 3857, 448, 11121, 349, 15360, 2493, 329, 35834, 19, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 532, 8486, 204, 204, 676, 21166, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4978, 1722, 440, 1724, 17, 2799, 17, 1666, 17, 329, 904, 3688, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4978, 1722, 19, 204, 268, 2799, 322, 325, 330, 334, 2799, 302, 275, 4978, 1722, 19, 204, 268, 3618, 322, 325, 330, 334, 3618, 3610, 440, 275, 4978, 1722, 19, 204, 268, 37451, 322, 655, 330, 332, 458, 302, 37451, 348, 275, 4978, 1722, 19, 204, 268, 4578, 322, 655, 330, 332, 458, 302, 4578, 348, 275, 4978, 1722, 19, 204, 268, 10103, 68, 672, 322, 672, 330, 334, 1489, 275, 4978, 1722, 867, 6193, 19, 204, 268, 16206, 322, 12043, 330, 334, 16206, 752, 348, 275, 4978, 1722, 19, 204, 264, 320, 204, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 14, 204, 264, 2799, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 1540, 15768, 204, 264, 3618, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 1540, 1022, 13142, 431, 204, 264, 314, 4496, 273, 7490, 570, 348, 37451, 329, 4578, 311, 2512, 348, 8175, 4998, 302, 11056, 204, 264, 37451, 289, 1094, 19, 13243, 611, 16468, 299, 491, 3232, 68, 417, 833, 9130, 68, 8754, 534, 204, 264, 10103, 68, 672, 289, 1094, 19, 12860, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 16206, 289, 1094, 19, 12043, 13, 7488, 68, 633, 1022, 9130, 20, 2936, 528, 1540, 15768, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 1778, 204, 204, 676, 2474, 11890, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 16907, 348, 273, 4978, 1722, 19, 204, 204, 264, 1532, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 302, 275, 16907, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 3610, 440, 275, 16907, 19, 204, 264, 320, 204, 204, 264, 1068, 289, 1094, 19, 2580, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1129, 68, 1205, 34, 1719, 14, 204, 264, 1666, 289, 1094, 19, 7320, 13, 2305, 15768, 204, 264, 1552, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 492, 204, 204, 264, 850, 5694, 31, 204, 268, 10772, 289, 2470, 1115, 839, 204, 0, 3728, 770, 3817, 30432, 770, 36, 204, 46, 285, 30432, 678, 18, 44390, 6028, 48325, 19, 3433, 3697, 18, 19099, 6793, 8993, 560, 15551, 40136, 311, 15216, 17, 21107, 17, 678, 18, 17000, 756, 4738, 19, 204, 7495, 286, 787, 3817, 30432, 1308, 12063, 275, 1901, 15216, 1763, 292, 2077, 17519, 2688, 19, 13472, 302, 39841, 1693, 4361, 2318, 1291, 448, 275, 3700, 17, 1910, 18, 19928, 21939, 1250, 6327, 529, 17, 572, 3667, 30215, 348, 13374, 5008, 2077, 13016, 311, 808, 521, 496, 42156, 19, 592, 275, 1352, 572, 29860, 1451, 18, 30823, 19311, 2518, 490, 13372, 19, 1785, 9935, 18514, 448, 41327, 17, 42127, 17, 5634, 2060, 17, 521, 292, 3693, 698, 17, 329, 1574, 18514, 719, 448, 5131, 302, 437, 3817, 48734, 1609, 2317, 329, 8405, 2979, 8280, 2090, 18, 30823, 2317, 1627, 302, 1093, 18316, 88, 19, 592, 1910, 2910, 17, 15189, 292, 1702, 273, 1627, 6926, 5792, 451, 497, 1065, 453, 2772, 440, 275, 4811, 329, 35790, 17, 903, 5792, 329, 1006, 5792, 17, 302, 9037, 7546, 4738, 19, 13472, 17, 572, 2249, 275, 3817, 9046, 13837, 84, 302, 275, 1627, 770, 275, 1225, 560, 29848, 299, 329, 940, 10309, 4193, 9253, 19, 204, 2920, 770, 3817, 30432, 741, 36, 204, 46, 285, 30432, 17046, 1683, 275, 24685, 17, 292, 3624, 24411, 348, 275, 1901, 1085, 19, 1785, 5971, 4006, 884, 89, 10065, 1330, 1250, 19259, 451, 311, 2130, 16342, 2318, 1291, 17, 1330, 1250, 5695, 521, 2219, 7072, 1475, 685, 302, 12278, 19, 15577, 770, 572, 11506, 1662, 1250, 283, 14229, 26075, 447, 19033, 963, 21939, 10996, 273, 2875, 17, 794, 836, 18428, 336, 322, 416, 15858, 11352, 14, 1622, 9319, 3582, 204, 3719, 572, 884, 272, 18506, 311, 38772, 273, 800, 7546, 42156, 17, 348, 1763, 17, 572, 1741, 508, 444, 9136, 496, 2077, 32673, 1930, 1898, 37793, 2013, 302, 275, 2688, 5409, 884, 89, 3074, 9843, 329, 899, 18521, 1747, 302, 4109, 10054, 302, 2077, 8295, 19, 1785, 1741, 508, 27879, 275, 3101, 5800, 302, 273, 13037, 21964, 523, 2637, 6160, 9873, 17, 521, 302, 273, 21176, 13434, 523, 510, 18, 43118, 521, 15286, 884, 7705, 19, 12338, 3817, 30432, 770, 1017, 1225, 292, 275, 5665, 2317, 448, 794, 20411, 2222, 14376, 348, 14473, 2317, 572, 5971, 4006, 884, 89, 10065, 521, 9244, 1017, 678, 18, 44390, 545, 2347, 19, 7054, 884, 88, 1085, 302, 275, 1470, 17, 302, 3200, 19, 13128, 36999, 311, 437, 42156, 17, 572, 45671, 794, 19847, 32, 1422, 884, 88, 2842, 1236, 2318, 42192, 311, 27792, 2077, 12117, 94, 2023, 302, 4398, 329, 1012, 830, 1048, 2528, 19, 204, 673, 2347, 302, 48038, 42156, 204, 2204, 830, 3817, 30432, 529, 7546, 17, 302, 3200, 19, 1765, 1763, 17, 1662, 3667, 770, 572, 3506, 311, 378, 3143, 2842, 2075, 572, 884, 272, 8205, 1330, 572, 8511, 275, 2238, 329, 3638, 275, 6214, 302, 273, 2016, 36, 13472, 17, 572, 13434, 3483, 7943, 275, 678, 4169, 266, 2890, 329, 636, 1873, 311, 4488, 2317, 830, 2900, 11109, 3171, 397, 1169, 6183, 311, 22890, 2075, 572, 884, 272, 8205, 19, 4253, 348, 4303, 17, 17519, 5356, 808, 353, 1662, 490, 869, 311, 444, 32, 496, 884, 88, 275, 1540, 11523, 17, 1877, 830, 19, 11917, 2404, 572, 22545, 311, 275, 42156, 302, 275, 1068, 17, 1698, 2404, 572, 874, 17228, 311, 4481, 25957, 30905, 9478, 14453, 329, 43446, 311, 275, 25997, 5035, 17, 618, 572, 732, 808, 265, 38, 2486, 70, 9417, 5078, 6235, 329, 36673, 19, 204, 837, 904, 2159, 17, 4488, 18814, 40740, 28840, 4249, 302, 5632, 19, 1547, 884, 88, 22890, 2404, 572, 4006, 884, 89, 21606, 1048, 1662, 10370, 1225, 17, 2075, 1250, 770, 17, 329, 1901, 30708, 2075, 1250, 7072, 685, 302, 12278, 496, 572, 884, 272, 5096, 311, 732, 1475, 754, 2590, 19, 13923, 1169, 12168, 17, 275, 2016, 329, 1472, 4426, 496, 572, 15978, 2547, 8809, 904, 2318, 1291, 292, 6972, 302, 275, 13029, 1250, 5500, 329, 1173, 19, 204, 21910, 2075, 353, 273, 1068, 17, 36262, 36, 204, 5842, 958, 311, 808, 38796, 2717, 353, 311, 19200, 275, 3511, 302, 275, 1142, 19, 334, 14531, 5589, 41510, 356, 21311, 2077, 3269, 497, 13448, 9464, 41510, 356, 17, 928, 292, 3638, 47832, 497, 13533, 1068, 354, 322, 41697, 17, 4147, 789, 4682, 1068, 354, 10907, 311, 275, 5378, 5296, 280, 302, 275, 14060, 41510, 1239, 322, 633, 572, 629, 659, 273, 1068, 353, 226, 3159, 703, 28045, 1622, 36235, 496, 869, 1742, 306, 32905, 3582, 334, 5658, 4316, 2192, 1425, 6019, 273, 44416, 292, 10033, 12509, 322, 30071, 22213, 17, 16922, 5226, 640, 2368, 659, 440, 273, 2323, 3898, 84, 18, 38525, 12892, 3619, 540, 356, 27870, 17, 273, 1610, 37537, 5268, 1622, 775, 629, 17, 2270, 17, 5157, 3582, 204, 1834, 1610, 7211, 302, 5805, 306, 32905, 23207, 4153, 17973, 17, 4751, 1475, 275, 13735, 378, 21234, 302, 273, 1068, 448, 273, 11339, 7936, 19, 1547, 884, 88, 508, 292, 18, 1616, 17, 7962, 6067, 17, 521, 1683, 9511, 32, 490, 884, 88, 275, 7824, 1313, 1351, 302, 16922, 5226, 640, 2368, 19, 592, 808, 4130, 1702, 273, 1351, 38699, 329, 13157, 275, 29259, 5570, 30214, 302, 726, 329, 406, 13450, 17, 970, 265, 38, 2486, 70, 11362, 496, 1340, 311, 15582, 719, 275, 42156, 302, 275, 1068, 19, 334, 1249, 302, 27250, 1702, 273, 7936, 2317, 2219, 275, 1540, 10619, 47816, 496, 1702, 437, 6733, 18, 8806, 2549, 444, 11352, 3217, 990, 2408, 18323, 14827, 1001, 1465, 2077, 678, 18, 44390, 545, 329, 794, 20411, 2222, 21219, 311, 275, 2016, 329, 1472, 19, 204, 2310, 3333, 329, 794, 775, 3333, 204, 47117, 274, 273, 12178, 572, 3333, 2002, 20682, 292, 21354, 270, 884, 88, 48572, 15436, 31, 275, 23979, 36417, 691, 295, 728, 348, 48572, 45454, 884, 9217, 9690, 864, 301, 19, 1547, 867, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 572, 9735, 17, 48572, 45454, 884, 14310, 415, 3642, 4148, 1415, 1376, 808, 6202, 18, 3439, 1352, 311, 5148, 2830, 8415, 1288, 630, 26230, 19, 1765, 16504, 2181, 2268, 306, 2105, 560, 2344, 329, 1675, 794, 900, 358, 560, 8546, 17, 35034, 447, 6394, 299, 13967, 302, 275, 1781, 2268, 25172, 448, 273, 13765, 35537, 311, 4461, 1169, 21219, 311, 273, 717, 19435, 19, 415, 3642, 4148, 884, 88, 2002, 867, 292, 2620, 7784, 508, 311, 5288, 13967, 1101, 311, 2709, 1683, 9511, 28484, 19, 204, 42125, 415, 3642, 4148, 884, 88, 691, 295, 728, 18, 492, 17, 275, 10370, 572, 1895, 329, 7310, 618, 884, 89, 444, 754, 8235, 794, 17309, 32, 5602, 306, 32905, 17, 1250, 618, 884, 89, 25308, 444, 794, 900, 2553, 19, 4596, 1017, 3060, 6797, 2077, 265, 38, 2486, 70, 7807, 8812, 311, 26484, 292, 1017, 2220, 17, 8985, 6572, 17, 22968, 2535, 311, 15936, 3119, 3161, 17905, 521, 9095, 353, 34446, 19, 334, 4835, 917, 302, 4141, 273, 1068, 2317, 302, 572, 3333, 496, 10689, 1351, 2317, 353, 311, 13776, 275, 15532, 302, 2652, 17, 311, 4494, 3529, 523, 1352, 17, 311, 5068, 5395, 33227, 17, 329, 292, 3697, 311, 10390, 2077, 8660, 17, 19615, 17, 329, 6121, 292, 273, 10689, 16649, 10926, 25037, 311, 794, 775, 3333, 19, 16585, 353, 275, 6797, 302, 2077, 18389, 18, 416, 18, 44476, 290, 1068, 17, 329, 1702, 353, 1163, 3817, 48734, 6300, 6572, 19, 204, 4366, 17, 6216, 17, 2075, 529, 10370, 36, 204, 3837, 884, 88, 2590, 311, 9356, 17, 7239, 17, 496, 275, 2323, 16971, 1622, 492, 1001, 869, 1855, 17284, 329, 18221, 4840, 19, 1785, 618, 6293, 41608, 322, 403, 19542, 10003, 447, 14, 302, 273, 17284, 17, 1048, 1049, 299, 47215, 3773, 3217, 990, 492, 1001, 448, 273, 4303, 2851, 17, 1101, 13029, 17792, 451, 440, 1182, 1194, 1051, 1187, 302, 572, 3333, 19, 1346, 35452, 311, 275, 4193, 2688, 1741, 1340, 8335, 1855, 2902, 302, 275, 19012, 2317, 1855, 1163, 16434, 329, 1163, 23554, 19, 204, 13529, 354, 329, 4680, 204, 2310, 1012, 440, 275, 6605, 496, 275, 25740, 572, 2428, 1068, 7336, 292, 4109, 3003, 521, 4680, 19, 1765, 2621, 3641, 6761, 5356, 17, 572, 1120, 21757, 2327, 4680, 31, 36004, 329, 39515, 17, 9425, 6214, 17, 329, 7746, 318, 20962, 322, 20641, 440, 3536, 20404, 789, 204, 3609, 36004, 329, 39515, 382, 1869, 311, 8956, 1922, 15280, 10370, 322, 402, 19359, 292, 275, 226, 3159, 31467, 497, 1064, 354, 329, 3467, 354, 659, 3855, 523, 10581, 17, 23138, 17, 36467, 17, 653, 948, 14907, 17, 1305, 953, 328, 322, 44654, 31042, 659, 47440, 366, 71, 1221, 17, 15228, 4960, 17, 521, 1429, 904, 292, 1071, 71, 578, 3776, 19, 334, 6793, 19028, 2648, 302, 39515, 353, 496, 1250, 529, 23577, 17, 1574, 560, 1574, 329, 292, 2220, 18045, 17, 560, 275, 3422, 13478, 302, 1051, 521, 1182, 3651, 20955, 19, 1198, 336, 6214, 529, 302, 3200, 275, 23297, 302, 501, 19377, 12140, 329, 3303, 302, 5431, 18, 28571, 1187, 12825, 14452, 17, 329, 618, 444, 3284, 18, 46322, 292, 4710, 38223, 2900, 3422, 329, 7346, 3651, 13478, 19, 25055, 318, 20962, 5794, 29530, 448, 2510, 1576, 496, 35449, 311, 9685, 523, 273, 3645, 17, 1101, 1017, 1622, 492, 18, 2292, 1001, 12034, 292, 1017, 6797, 448, 6768, 9873, 17, 448, 10689, 4009, 17913, 311, 275, 2150, 448, 4476, 18, 12566, 24703, 19, 3242, 1702, 17, 1250, 1856, 444, 12356, 26476, 497, 19468, 329, 904, 16589, 9873, 496, 2512, 521, 2219, 4426, 18828, 12186, 560, 3612, 19, 204, 5039, 273, 23781, 302, 275, 3511, 302, 6309, 17, 1605, 2327, 4680, 2248, 12208, 37624, 1291, 292, 6015, 12593, 329, 451, 3423, 19, 592, 275, 10033, 329, 26645, 10482, 39515, 1466, 7758, 1698, 560, 4382, 329, 30063, 8980, 17, 329, 2219, 1675, 1605, 41424, 5594, 1466, 7758, 1051, 630, 273, 690, 17, 6929, 292, 273, 2875, 2852, 17, 2927, 16863, 311, 4542, 322, 70, 30492, 5406, 4628, 302, 275, 2861, 2637, 4628, 302, 8295, 1415, 2549, 1151, 659, 329, 1466, 7921, 3397, 311, 2210, 521, 7034, 19, 592, 904, 2159, 17, 1250, 1466, 5027, 311, 6626, 17, 5027, 311, 732, 17, 329, 5027, 311, 3550, 7399, 19, 1198, 336, 6214, 2549, 444, 3171, 1182, 8235, 329, 22890, 38834, 2317, 1622, 1715, 336, 719, 4412, 292, 273, 7211, 2317, 2404, 2589, 4028, 322, 522, 12574, 521, 11342, 14, 867, 22890, 275, 1729, 19, 2935, 275, 9095, 3692, 329, 3232, 292, 15324, 27704, 867, 18187, 311, 18221, 504, 6973, 17, 311, 1895, 490, 2237, 348, 12459, 5289, 15994, 311, 4309, 497, 2075, 867, 348, 275, 1043, 690, 22890, 275, 1729, 3966, 19, 5424, 275, 19776, 302, 275, 12679, 17, 1702, 6973, 2549, 444, 896, 336, 292, 521, 40348, 329, 1675, 17913, 7559, 2547, 448, 7746, 318, 20962, 348, 275, 11200, 302, 273, 27399, 27949, 5698, 17, 8337, 5395, 44691, 275, 15994, 2368, 329, 5395, 9412, 72, 6800, 4616, 6121, 17, 1838, 17, 329, 8660, 19, 204, 4259, 448, 1792, 448, 1605, 2327, 4680, 529, 17, 1250, 1425, 32982, 273, 2875, 25740, 19, 7616, 302, 275, 2327, 353, 437, 726, 322, 1625, 7597, 2075, 1163, 4539, 6015, 1895, 18, 398, 521, 5150, 659, 848, 353, 8405, 7824, 1313, 322, 350, 4995, 275, 4699, 302, 42933, 1924, 273, 10288, 17, 15924, 2364, 659, 329, 848, 448, 16389, 311, 10724, 1163, 3612, 448, 273, 6768, 17, 2652, 18, 34401, 12168, 19, 204, 673, 1225, 289, 275, 1068, 2343, 334, 1068, 289, 275, 1225, 204, 3728, 884, 88, 1182, 17, 275, 47816, 496, 10370, 529, 8985, 17, 7824, 1313, 17, 329, 7746, 12034, 630, 275, 3060, 15363, 302, 2077, 265, 38, 2486, 70, 42156, 19, 8710, 15056, 572, 884, 358, 18596, 18514, 311, 4153, 7192, 302, 13082, 17, 329, 572, 884, 358, 2927, 273, 265, 638, 286, 15474, 311, 6202, 2909, 1818, 322, 5446, 275, 318, 13142, 353, 9003, 4145, 311, 1683, 2377, 2077, 19259, 329, 2482, 18, 350, 20411, 2222, 13082, 292, 18389, 18, 416, 18, 44476, 290, 13029, 789, 204, 5399, 884, 88, 1662, 265, 11589, 352, 288, 9211, 19, 828, 572, 8732, 496, 10370, 6327, 918, 275, 5994, 23577, 292, 1475, 17, 329, 397, 572, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5395, 8732, 496, 1605, 48038, 17474, 529, 28802, 18, 4995, 1754, 403, 1044, 496, 3550, 1017, 4578, 292, 24088, 316, 348, 448, 2482, 448, 275, 12168, 7615, 2060, 17, 1675, 275, 5994, 874, 13055, 3472, 10370, 19, 25497, 48734, 16637, 17, 572, 884, 358, 32070, 18514, 496, 275, 10370, 572, 5148, 292, 2077, 8650, 521, 17938, 1924, 523, 273, 3645, 6327, 529, 275, 5994, 19, 3065, 884, 88, 1236, 1759, 1283, 4051, 12168, 329, 6093, 943, 19, 26834, 17, 1838, 17, 329, 8660, 874, 1742, 4073, 17729, 329, 6929, 19, 204, 2938, 20141, 88, 1308, 2745, 47876, 5644, 302, 1662, 273, 1225, 6401, 36754, 4890, 292, 273, 1068, 19, 11328, 275, 1322, 302, 21354, 270, 884, 88, 382, 612, 364, 17, 46332, 292, 650, 57, 2590, 2518, 275, 34360, 6129, 34269, 17, 18596, 311, 653, 948, 14907, 292, 275, 30652, 521, 27010, 6129, 34269, 17, 4628, 3483, 15948, 329, 304, 18, 27796, 560, 904, 4695, 8217, 292, 275, 15056, 496, 8367, 322, 402, 653, 948, 14907, 4363, 2554, 683, 1204, 659, 329, 1622, 285, 23884, 1001, 292, 275, 40052, 16723, 12901, 292, 1236, 14645, 1194, 33541, 18045, 22, 19, 3846, 21557, 3667, 860, 9709, 437, 40534, 37270, 299, 3718, 31, 27669, 17, 496, 275, 1043, 4835, 382, 612, 364, 496, 7615, 2060, 311, 2077, 690, 15580, 292, 273, 20208, 310, 1516, 4712, 22949, 34040, 448, 5086, 448, 275, 31657, 6129, 19798, 17, 19264, 970, 38026, 1257, 1877, 1163, 13567, 1622, 19744, 3582, 204, 837, 275, 47788, 17, 572, 283, 5246, 447, 4006, 884, 89, 2379, 329, 618, 884, 89, 12146, 2842, 1662, 273, 2482, 39192, 302, 33569, 35408, 756, 311, 6626, 496, 31657, 18, 19895, 1068, 19, 2935, 10407, 4363, 2554, 302, 275, 12301, 572, 874, 2317, 1429, 292, 15474, 329, 1429, 292, 9422, 440, 496, 1043, 4835, 1068, 2317, 4921, 1901, 302, 275, 24839, 38026, 2915, 17, 1101, 1422, 884, 88, 1236, 2501, 311, 21654, 275, 10033, 44537, 1025, 273, 2875, 23313, 16046, 19, 6524, 14343, 17, 302, 3200, 17, 2404, 275, 287, 38, 2486, 70, 382, 612, 364, 6202, 867, 273, 2875, 16046, 311, 4959, 440, 32, 329, 496, 884, 88, 311, 4627, 9430, 302, 275, 970, 4520, 38026, 1257, 302, 265, 38, 2486, 70, 3511, 19, 42230, 2799, 6265, 8367, 560, 10138, 12070, 6265, 19, 5610, 292, 830, 17, 9395, 273, 22275, 94, 1068, 18, 16400, 19, 204, 4259, 496, 22275, 3962, 869, 508, 28918, 7504, 33569, 497, 297, 48084, 1924, 275, 468, 10615, 329, 22843, 2075, 1250, 7319, 353, 273, 2875, 2799, 13652, 1068, 19, 4253, 1662, 770, 1250, 770, 490, 36, 4596, 8910, 43556, 11362, 329, 14056, 15366, 18541, 1250, 5695, 437, 8675, 302, 36173, 10133, 1399, 8305, 311, 273, 20632, 16046, 17, 273, 2590, 18, 900, 2553, 16649, 10926, 440, 1236, 25054, 9429, 19, 4160, 7122, 447, 273, 36331, 47754, 311, 7116, 265, 38, 2486, 70, 10939, 19, 204, 673, 8001, 302, 275, 42156, 8944, 808, 1352, 2950, 444, 1048, 27631, 19, 4087, 30648, 353, 2077, 1519, 348, 437, 726, 18, 492, 2317, 8106, 448, 30648, 448, 2077, 7504, 10619, 1519, 348, 273, 17284, 2799, 1273, 11077, 618, 1337, 2317, 496, 572, 874, 1742, 18506, 311, 1418, 335, 340, 292, 16049, 9924, 2643, 17, 830, 292, 275, 588, 302, 1068, 18, 18468, 19, 4253, 5566, 36, 12338, 1068, 18, 18468, 10907, 311, 10619, 1576, 348, 1225, 18, 18468, 19, 204, 11803, 335, 565, 6417, 884, 88, 8880, 95, 1312, 204, 1449, 3074, 273, 3171, 1182, 7504, 1763, 17, 572, 618, 6293, 302, 9584, 335, 565, 6417, 884, 88, 11695, 8880, 95, 1312, 448, 275, 33011, 22949, 566, 16059, 311, 275, 11804, 17, 521, 275, 9425, 6214, 16687, 560, 496, 11804, 17, 521, 273, 12579, 7746, 510, 2755, 7110, 19, 7616, 302, 1605, 10370, 2560, 292, 273, 1792, 6015, 798, 17, 440, 1792, 17064, 38415, 17, 7562, 2292, 17, 3073, 17, 329, 754, 18795, 19, 3846, 3153, 6108, 4006, 884, 89, 1307, 311, 275, 2318, 5557, 302, 275, 7597, 31, 275, 3718, 496, 830, 2327, 4840, 529, 28907, 578, 8037, 292, 275, 265, 38, 2486, 70, 19, 1131, 5533, 17, 275, 14420, 6015, 18387, 2317, 13893, 4960, 17, 2722, 4960, 1715, 17, 521, 4960, 3275, 9685, 2317, 15607, 884, 89, 11897, 19, 1131, 5533, 17, 275, 37624, 316, 38415, 2317, 565, 6417, 884, 88, 12070, 17, 45959, 302, 18389, 18, 416, 18, 44476, 290, 5967, 17, 521, 275, 2150, 5698, 2317, 15607, 884, 89, 11897, 19, 2935, 17705, 4442, 353, 496, 830, 2327, 4840, 529, 1622, 13166, 3582, 16588, 5034, 3483, 17, 2219, 397, 292, 14420, 4365, 1439, 17, 8880, 95, 1312, 275, 1225, 353, 8880, 95, 1312, 275, 1068, 13, 88, 789, 204, 2551, 2075, 770, 10370, 6327, 770, 311, 650, 57, 36, 204, 2920, 1465, 1410, 365, 5325, 705, 650, 57, 88, 496, 572, 618, 4699, 448, 5794, 3780, 329, 292, 1874, 36, 2935, 1583, 48038, 1613, 770, 311, 1475, 36, 204, 5834, 17, 329, 808, 353, 437, 13735, 1101, 26075, 447, 5362, 35537, 17, 572, 1631, 444, 18506, 311, 4030, 7066, 275, 265, 38, 2486, 70, 2871, 19, 1785, 874, 311, 636, 1429, 1759, 17, 311, 8921, 1751, 2077, 1540, 11523, 302, 32134, 13029, 1025, 273, 13283, 1491, 17, 1472, 18, 3499, 16685, 329, 4566, 1662, 496, 3817, 9046, 3697, 18, 19099, 23517, 1439, 2077, 7103, 311, 3126, 650, 57, 19, 1785, 874, 311, 9244, 275, 15532, 2317, 5862, 794, 339, 48287, 2317, 496, 20251, 4940, 993, 299, 273, 1767, 302, 4650, 17060, 17, 955, 18, 25513, 2281, 18, 3881, 30222, 18362, 88, 6216, 1194, 20533, 4504, 16244, 5956, 19, 11815, 448, 1236, 33361, 9631, 275, 588, 618, 7921, 444, 8106, 23281, 2614, 273, 25156, 17, 3826, 799, 478, 4890, 17, 794, 18, 278, 30140, 3467, 17, 754, 1236, 650, 57, 9631, 275, 4680, 1800, 618, 7921, 444, 14190, 13890, 292, 273, 1068, 17, 1236, 7597, 1662, 436, 89, 447, 42054, 329, 11529, 275, 48038, 6318, 1741, 444, 19, 1158, 356, 354, 2842, 5409, 884, 89, 7070, 496, 8235, 19, 204, 3728, 8290, 8287, 204, 7020, 808, 31359, 557, 32648, 292, 6832, 17, 2249, 884, 88, 1012, 560, 2573, 270, 1070, 1429, 302, 2075, 884, 88, 8287, 1330, 437, 650, 57, 5956, 1643, 353, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8016, 311, 275, 279, 278, 6420, 696, 302, 273, 1068, 19, 1547, 884, 88, 273, 37216, 43919, 329, 8413, 359, 14797, 281, 35595, 19, 204, 2310, 13395, 30349, 2048, 1702, 448, 421, 271, 344, 17, 22331, 2292, 329, 5571, 2292, 17, 329, 27702, 19, 1785, 13395, 4954, 8432, 2090, 30833, 329, 23733, 2231, 17, 508, 311, 8633, 26195, 13975, 311, 2264, 1694, 17, 5465, 17, 329, 32211, 19, 1785, 13395, 275, 19742, 329, 21000, 6373, 5150, 302, 5956, 19, 20325, 2547, 17, 572, 13395, 275, 5665, 302, 23616, 17, 275, 2364, 302, 45848, 685, 302, 928, 1169, 2875, 5956, 7962, 1110, 19, 11815, 448, 30708, 17, 572, 13395, 275, 15285, 302, 275, 16056, 17, 2318, 521, 25997, 17, 329, 1169, 12186, 496, 24557, 1662, 275, 2811, 270, 42329, 19, 4253, 17, 508, 560, 1169, 3210, 3406, 17, 572, 13395, 275, 8916, 329, 10619, 2085, 17, 448, 2590, 448, 275, 4303, 35661, 17348, 1666, 302, 275, 5956, 322, 8920, 496, 529, 414, 42671, 311, 904, 3576, 302, 275, 468, 1160, 28862, 3542, 2016, 2219, 292, 275, 2765, 18, 2059, 8407, 789, 204, 13203, 884, 88, 273, 6273, 311, 348, 3216, 292, 11311, 311, 3099, 440, 650, 57, 17, 273, 6273, 311, 13776, 292, 275, 588, 302, 48038, 1613, 19, 828, 572, 884, 272, 18506, 311, 30215, 348, 496, 5746, 302, 36331, 2317, 329, 572, 884, 358, 2482, 468, 2782, 275, 8072, 92, 10803, 302, 275, 2016, 440, 4542, 397, 1169, 32316, 2317, 1675, 275, 42156, 302, 275, 1068, 1631, 444, 3060, 10652, 11027, 19, 204, 38, 4542, 8217, 874, 24543, 311, 1995, 1605, 3697, 1453, 880, 329, 311, 1308, 16589, 5169, 311, 275, 12294, 299, 302, 4699, 16105, 756, 560, 10370, 19, 5028, 302, 1605, 353, 275, 318, 42, 1912, 302, 273, 7149, 35923, 19717, 16244, 32738, 12301, 1966, 560, 275, 8540, 348, 16512, 292, 44307, 43730, 17, 928, 25040, 275, 14126, 302, 275, 5956, 440, 970, 5966, 10370, 322, 266, 275, 2171, 3269, 329, 292, 5589, 7619, 659, 273, 49037, 302, 9293, 35661, 17348, 26195, 17, 329, 273, 37348, 19, 5610, 302, 1605, 3576, 529, 304, 31003, 73, 1025, 273, 2875, 4835, 523, 275, 1729, 15924, 16589, 1472, 17, 8337, 513, 15686, 4616, 275, 1643, 329, 14644, 275, 6686, 20, 9744, 746, 10996, 273, 6745, 1375, 4699, 302, 28695, 362, 12934, 79, 2486, 78, 40609, 884, 88, 4950, 18, 12233, 5956, 19, 5898, 318, 27742, 440, 3557, 10683, 17, 1702, 448, 275, 21354, 270, 17905, 2545, 34446, 560, 275, 8540, 348, 39411, 45383, 16512, 17, 529, 1425, 47158, 19, 204, 29070, 10701, 48038, 42156, 204, 29070, 685, 497, 1683, 1169, 42156, 353, 26075, 447, 273, 38796, 1781, 19, 592, 808, 1322, 275, 1352, 869, 311, 1012, 440, 19811, 496, 2077, 6836, 18395, 292, 406, 13450, 329, 726, 3735, 529, 9430, 1182, 322, 416, 9430, 2202, 14, 1194, 273, 23283, 17, 3158, 578, 39593, 19, 592, 273, 7211, 17, 275, 265, 38, 2486, 70, 42196, 375, 273, 5568, 302, 10619, 401, 18, 12671, 17, 437, 794, 19777, 40990, 311, 2075, 572, 884, 358, 32070, 18514, 496, 10370, 618, 770, 19, 11731, 5008, 437, 35464, 13024, 353, 5027, 1225, 2404, 490, 3210, 23715, 4238, 275, 8454, 302, 9753, 18, 28571, 6137, 2317, 292, 808, 1322, 302, 4806, 18, 28340, 17, 458, 18, 18468, 17, 2556, 18, 18458, 17, 329, 830, 302, 3153, 904, 1068, 18, 10782, 6196, 496, 5233, 719, 329, 7072, 2077, 6450, 7977, 19, 2416, 5925, 275, 2590, 18, 27796, 329, 15216, 2688, 302, 275, 265, 38, 2486, 70, 2317, 521, 630, 3406, 311, 11506, 496, 275, 32353, 302, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 1337, 2317, 353, 311, 26935, 273, 5568, 302, 8908, 18317, 19, 4253, 1901, 1880, 9605, 311, 4516, 8908, 18317, 329, 1397, 16600, 696, 34793, 22006, 1250, 618, 19, 204, 38, 1322, 292, 917, 204, 3719, 872, 884, 272, 4488, 1622, 29070, 10701, 48038, 42156, 1001, 448, 9425, 6214, 292, 44307, 43730, 329, 275, 12679, 31, 2621, 3641, 302, 275, 27610, 17, 872, 884, 272, 2590, 9136, 302, 275, 26075, 9090, 523, 1068, 18, 13892, 19, 3665, 2379, 1043, 4659, 2075, 490, 3210, 311, 1384, 266, 411, 1282, 275, 9151, 311, 12136, 273, 7114, 18, 4038, 329, 311, 3478, 1214, 3346, 37959, 292, 6972, 302, 34022, 299, 275, 10935, 9649, 329, 47219, 1873, 275, 1051, 18, 4386, 28509, 302, 275, 1068, 322, 8091, 1877, 4669, 17, 1007, 1877, 1007, 17, 1472, 1877, 1472, 17, 329, 4501, 1622, 9476, 754, 42218, 334, 18389, 18, 416, 18, 44476, 290, 2016, 353, 304, 2833, 1546, 447, 329, 36673, 16398, 17, 311, 444, 6430, 17, 1101, 496, 7365, 353, 17591, 630, 273, 27062, 2264, 19, 204, 3719, 872, 884, 272, 4488, 1622, 29070, 10701, 48038, 42156, 1001, 448, 273, 6729, 18, 6763, 1491, 3440, 523, 1214, 3645, 17, 1422, 884, 88, 273, 16049, 2712, 292, 1214, 4699, 19, 14560, 17, 1422, 884, 88, 437, 16398, 329, 21063, 1068, 348, 872, 311, 1151, 17, 830, 1629, 17, 1101, 496, 884, 88, 28895, 275, 1136, 302, 275, 5765, 19, 9419, 872, 874, 1429, 5426, 311, 1895, 17, 27669, 17, 1465, 3855, 311, 3550, 2631, 3153, 6072, 329, 2238, 1051, 1877, 275, 1682, 17, 521, 311, 5925, 560, 26222, 523, 5444, 496, 1120, 3074, 872, 13762, 322, 780, 3848, 2614, 275, 13346, 302, 275, 2621, 3641, 6761, 789, 7054, 1622, 24070, 3663, 1001, 618, 444, 1051, 302, 275, 2327, 9758, 5632, 14003, 322, 1947, 287, 38, 2486, 70, 17, 265, 38, 2486, 70, 17, 329, 318, 38, 2486, 70, 4501, 2755, 292, 275, 1913, 4607, 18, 3520, 659, 3161, 302, 275, 1910, 2731, 13666, 292, 275, 1435, 302, 2731, 322, 266, 275, 468, 21442, 416, 4607, 18, 3520, 659, 1051, 302, 275, 1977, 11555, 322, 38070, 2755, 292, 275, 468, 21442, 416, 4607, 18, 3520, 659, 521, 7493, 1169, 7659, 299, 1977, 2614, 1169, 944, 19, 4253, 302, 3200, 872, 618, 4501, 407, 311, 808, 3060, 10313, 2317, 521, 1169, 904, 1051, 17, 348, 496, 7597, 19, 6720, 3425, 35972, 299, 1924, 275, 2621, 3641, 6761, 17, 292, 904, 2159, 17, 353, 273, 4802, 1043, 1660, 10996, 8993, 7066, 496, 1901, 14191, 545, 2871, 302, 830, 31, 275, 1068, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5058, 884, 88, 329, 12647, 884, 3450, 204, 8390, 15370, 25346, 329, 20675, 5111, 311, 1307, 4238, 275, 19341, 302, 275, 2621, 3641, 6761, 17, 928, 3077, 1118, 7650, 3542, 1767, 292, 6972, 302, 978, 9372, 2914, 19, 13472, 17, 2249, 479, 1308, 273, 4542, 4916, 29316, 523, 275, 42156, 302, 275, 1068, 3217, 10953, 302, 1475, 2423, 521, 378, 7696, 1101, 830, 302, 1475, 13379, 311, 444, 14359, 19, 592, 318, 14866, 1015, 17, 4030, 302, 1475, 448, 5085, 17, 448, 2901, 18, 2160, 311, 9728, 7345, 19, 204, 46, 884, 358, 7540, 311, 3113, 1605, 5085, 292, 275, 798, 302, 1622, 2663, 884, 88, 1001, 329, 1622, 12508, 884, 3450, 4412, 496, 353, 17, 448, 3277, 15048, 18, 3881, 523, 1662, 311, 4516, 275, 16866, 42746, 302, 19259, 329, 21594, 1093, 26263, 311, 2077, 1540, 265, 38, 2486, 70, 6309, 19, 592, 496, 7211, 1250, 1690, 311, 3161, 758, 302, 426, 31452, 496, 10724, 448, 7249, 28903, 10996, 1182, 3700, 8660, 19, 204, 18, 9080, 732, 848, 6309, 5575, 311, 275, 5035, 302, 1163, 2941, 1397, 16600, 19, 204, 3070, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 17, 808, 3210, 42933, 1924, 28903, 329, 401, 18, 1062, 1070, 273, 15309, 17, 18828, 4699, 19, 1765, 275, 265, 38, 2486, 70, 808, 3210, 13283, 4616, 329, 34306, 6121, 17, 1838, 17, 329, 8660, 292, 273, 6768, 17, 3542, 1883, 348, 9757, 560, 1068, 18, 976, 375, 19, 3242, 273, 4303, 11316, 17, 490, 3210, 24764, 1397, 16600, 696, 34793, 19, 204, 18, 9080, 3074, 1025, 1747, 275, 16434, 302, 275, 25740, 1622, 492, 3582, 204, 3070, 275, 5356, 302, 275, 2621, 3641, 6761, 17, 572, 874, 10994, 2327, 4376, 4680, 17, 830, 302, 1475, 9693, 1554, 17, 2614, 808, 25740, 31, 8817, 3450, 329, 39515, 17, 1198, 336, 6214, 17, 329, 25055, 318, 20962, 19, 204, 18, 412, 1000, 884, 57, 30215, 348, 18389, 18, 416, 18, 44476, 290, 1330, 10288, 353, 275, 588, 302, 275, 1470, 19, 204, 6950, 3545, 650, 57, 10524, 21316, 322, 41689, 15259, 14, 618, 444, 14190, 292, 273, 1068, 19, 21132, 496, 1600, 278, 44895, 13029, 17, 329, 838, 329, 732, 11898, 496, 31579, 16191, 299, 19, 204, 18, 412, 1000, 884, 57, 4811, 337, 523, 273, 2875, 6309, 397, 273, 5632, 9617, 5994, 4037, 19, 204, 837, 2457, 437, 16244, 5956, 17, 21594, 1093, 26263, 311, 273, 48038, 28667, 521, 4466, 521, 2752, 521, 24793, 521, 904, 2875, 18, 4782, 10537, 302, 275, 1643, 1120, 45510, 17245, 275, 1136, 18, 816, 884, 88, 4699, 329, 1895, 348, 273, 13765, 7380, 5384, 19, 36043, 3536, 5632, 448, 273, 42392, 9617, 302, 7807, 311, 1182, 13082, 8084, 1173, 650, 57, 329, 311, 6024, 275, 575, 884, 88, 4699, 2317, 560, 513, 15686, 4616, 275, 1643, 19, 204, 18, 412, 1000, 884, 57, 5695, 275, 3536, 93, 7114, 18, 4038, 302, 2364, 336, 28903, 311, 273, 1051, 18, 4386, 28509, 19, 204, 673, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 6018, 12401, 311, 10647, 329, 838, 19, 1210, 299, 3817, 48734, 311, 48038, 2355, 13765, 3210, 1384, 266, 411, 15046, 3153, 12401, 19, 204, 18, 412, 1000, 884, 57, 22971, 13029, 1025, 437, 726, 19, 204, 30784, 437, 18828, 4699, 1025, 273, 7936, 1741, 5111, 311, 378, 746, 726, 3735, 329, 406, 13450, 322, 522, 3200, 17, 490, 5409, 884, 89, 659, 1101, 275, 2297, 353, 348, 12746, 1373, 447, 2223, 31, 1950, 18, 492, 945, 17060, 2048, 302, 275, 4699, 529, 15551, 26239, 2518, 872, 636, 6911, 19, 4889, 490, 437, 3817, 48734, 1609, 40908, 784, 19, 204, 18, 412, 1000, 884, 57, 2249, 42156, 678, 18, 44390, 5384, 19, 204, 36596, 7066, 275, 265, 38, 2486, 70, 19, 11328, 275, 18621, 329, 11525, 6309, 302, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 19, 2416, 15633, 27749, 17, 1622, 2841, 529, 1182, 5337, 292, 24021, 329, 7625, 17, 14502, 2763, 17, 1194, 529, 19416, 89, 302, 292, 1214, 551, 492, 945, 66, 17696, 1001, 322, 36423, 1592, 17, 5102, 382, 17, 8328, 720, 789, 204, 22, 11757, 472, 4340, 94, 14667, 31, 3528, 19, 0, 461, 12042, 68, 416, 68, 826, 68, 1630, 13, 920, 22, 31, 421, 17, 771, 23, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 4389, 943, 329, 9111, 275, 1066, 302, 970, 886, 19, 204, 204, 264, 457, 31, 204, 268, 771, 22, 322, 339, 330, 334, 1043, 542, 311, 881, 19, 204, 268, 771, 23, 322, 339, 330, 334, 1350, 542, 311, 881, 19, 204, 264, 320, 204, 264, 314, 1198, 273, 4389, 943, 204, 264, 456, 499, 5975, 6, 382, 12119, 3100, 13966, 431, 204, 204, 264, 314, 888, 329, 456, 275, 1066, 302, 275, 886, 204, 264, 722, 31, 421, 289, 771, 22, 465, 771, 23, 204, 264, 456, 13, 75, 7, 673, 1066, 302, 463, 920, 22, 98, 329, 463, 920, 23, 98, 353, 463, 1300, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 970, 886, 204, 264, 542, 22, 31, 421, 289, 435, 204, 264, 542, 23, 31, 421, 289, 681, 204, 204, 264, 314, 4889, 275, 741, 440, 275, 886, 204, 264, 12042, 68, 416, 68, 826, 68, 1630, 13, 1190, 22, 17, 542, 23, 14, 204, 0, 531, 1498, 532, 783, 17, 1061, 204, 531, 14698, 532, 40465, 17, 41973, 17, 37014, 204, 204, 676, 4534, 31, 204, 264, 320, 204, 264, 3301, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 3133, 322, 339, 330, 334, 3133, 302, 275, 944, 19, 204, 268, 353, 68, 14371, 322, 2107, 330, 2266, 275, 944, 353, 273, 10025, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 3133, 31, 421, 289, 500, 17, 353, 68, 14371, 31, 1109, 289, 1078, 330, 204, 268, 370, 19, 5270, 289, 3133, 204, 268, 370, 19, 360, 68, 14371, 289, 353, 68, 14371, 204, 204, 264, 436, 636, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 3133, 302, 275, 944, 1279, 204, 268, 407, 370, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 5270, 204, 204, 264, 436, 353, 68, 14371, 68, 1241, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 5995, 397, 275, 944, 353, 273, 10025, 944, 1279, 204, 268, 407, 370, 19, 360, 68, 14371, 204, 204, 204, 676, 38056, 2533, 13, 2533, 330, 204, 264, 320, 204, 264, 38056, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1125, 322, 339, 330, 334, 1943, 6717, 560, 275, 10025, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 3133, 31, 421, 17, 1125, 31, 421, 330, 204, 268, 2234, 3853, 924, 889, 5270, 17, 959, 14, 204, 268, 370, 19, 2441, 289, 1125, 204, 204, 204, 676, 27873, 2533, 13, 2533, 330, 204, 264, 320, 204, 264, 27873, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1824, 322, 2533, 330, 334, 1824, 1656, 302, 275, 7659, 944, 19, 204, 268, 1629, 322, 2533, 330, 334, 1629, 1656, 302, 275, 7659, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 1824, 31, 4534, 17, 1629, 31, 4534, 330, 204, 268, 2234, 3853, 924, 889, 1735, 19, 505, 68, 5270, 374, 465, 1629, 19, 505, 68, 5270, 2144, 1078, 14, 204, 268, 370, 19, 1735, 289, 1824, 204, 268, 370, 19, 1633, 289, 1629, 204, 204, 204, 676, 32885, 4833, 31, 204, 264, 320, 204, 264, 32885, 2192, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1610, 322, 2533, 330, 334, 1610, 302, 275, 32885, 2192, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 1610, 31, 4534, 330, 204, 268, 370, 19, 2125, 289, 1610, 204, 204, 264, 436, 636, 68, 2125, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 5136, 275, 1610, 302, 275, 32885, 2192, 1279, 204, 268, 407, 370, 19, 2125, 204, 204, 264, 436, 636, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 3133, 302, 275, 32885, 2192, 1279, 204, 268, 407, 370, 19, 2125, 19, 505, 68, 5270, 374, 204, 204, 264, 436, 15062, 68, 3150, 13, 327, 17, 1610, 31, 4534, 17, 1576, 31, 394, 17, 1576, 68, 873, 31, 1061, 64, 339, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 16165, 275, 32885, 2192, 329, 2270, 275, 1576, 955, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 2533, 330, 334, 790, 944, 19, 204, 305, 1576, 322, 325, 330, 334, 790, 1576, 19, 204, 305, 1576, 68, 873, 322, 1665, 64, 339, 17, 394, 1037, 334, 1576, 955, 19, 204, 268, 320, 204, 268, 314, 828, 275, 944, 353, 273, 10025, 944, 17, 881, 1163, 1943, 329, 1576, 311, 275, 955, 204, 268, 397, 1610, 19, 360, 68, 14371, 68, 1241, 1293, 204, 305, 1576, 68, 873, 64, 2125, 19, 2441, 66, 289, 1576, 204, 305, 407, 204, 822, 268, 314, 8276, 15062, 275, 1824, 329, 1629, 20457, 204, 268, 370, 19, 26592, 68, 3150, 13, 2125, 19, 1735, 17, 1576, 465, 379, 21, 491, 1576, 68, 873, 14, 204, 268, 370, 19, 26592, 68, 3150, 13, 2125, 19, 1633, 17, 1576, 465, 379, 22, 491, 1576, 68, 873, 14, 204, 204, 204, 461, 2270, 68, 77, 24737, 68, 3150, 13, 5270, 68, 873, 31, 1061, 64, 339, 17, 421, 694, 393, 32885, 4833, 31, 204, 264, 320, 204, 264, 4908, 275, 32885, 2192, 497, 273, 3133, 955, 19, 204, 204, 264, 457, 31, 204, 268, 3133, 68, 873, 322, 1665, 64, 339, 17, 421, 1037, 332, 955, 302, 1943, 6740, 19, 204, 204, 264, 475, 31, 204, 268, 32885, 4833, 31, 334, 5082, 32885, 2192, 19, 204, 264, 320, 204, 264, 314, 666, 273, 7794, 2769, 311, 1640, 275, 2731, 204, 264, 7794, 68, 1920, 289, 1306, 204, 615, 264, 314, 666, 273, 10025, 944, 348, 848, 1943, 329, 881, 490, 311, 275, 7794, 2769, 204, 264, 348, 1125, 17, 3133, 292, 3133, 68, 873, 19, 1996, 1293, 204, 268, 10025, 68, 1241, 289, 38056, 2533, 13, 5270, 17, 1125, 14, 204, 268, 37014, 13, 12948, 68, 1920, 17, 322, 5270, 17, 10025, 68, 1241, 602, 204, 204, 264, 314, 4908, 275, 32885, 2192, 204, 264, 1335, 1245, 13, 12948, 68, 1920, 14, 1323, 368, 31, 204, 268, 314, 763, 275, 970, 2731, 440, 275, 10658, 6740, 204, 268, 14016, 22, 17, 944, 22, 289, 41973, 13, 12948, 68, 1920, 14, 204, 268, 14016, 23, 17, 944, 23, 289, 41973, 13, 12948, 68, 1920, 14, 204, 822, 268, 314, 666, 273, 717, 7659, 944, 329, 881, 490, 311, 275, 7794, 2769, 204, 268, 7659, 68, 1241, 289, 27873, 2533, 13, 1241, 22, 17, 944, 23, 14, 204, 268, 37014, 13, 12948, 68, 1920, 17, 322, 8733, 22, 465, 14016, 23, 17, 7659, 68, 1241, 602, 204, 204, 264, 314, 666, 275, 32885, 2192, 497, 275, 1610, 944, 204, 264, 1610, 68, 1241, 289, 7794, 68, 1920, 64, 21, 1799, 22, 66, 204, 264, 373, 24737, 68, 3150, 289, 32885, 4833, 13, 2125, 68, 1241, 14, 204, 615, 264, 407, 373, 24737, 68, 3150, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 3133, 68, 873, 289, 463, 4452, 31, 931, 17, 14300, 31, 1199, 17, 14903, 31, 2468, 98, 226, 314, 16864, 955, 348, 2724, 379, 38, 491, 379, 39, 491, 379, 40, 12, 204, 264, 373, 24737, 68, 3150, 289, 2270, 68, 77, 24737, 68, 3150, 13, 5270, 68, 873, 14, 204, 615, 264, 314, 16165, 275, 32885, 2192, 329, 2270, 275, 1576, 955, 204, 264, 1576, 68, 873, 289, 2087, 204, 264, 373, 24737, 68, 3150, 19, 26592, 68, 3150, 13, 77, 24737, 68, 3150, 19, 505, 68, 2125, 2144, 8488, 1576, 68, 873, 14, 204, 615, 264, 314, 1198, 275, 1576, 955, 204, 264, 456, 499, 7154, 6881, 2212, 204, 264, 348, 1125, 17, 1576, 292, 1576, 68, 873, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 16850, 31, 463, 18589, 13, 2441, 15740, 8756, 31, 463, 1181, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 456, 68, 13926, 336, 68, 1630, 13, 1630, 31, 458, 64, 339, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 848, 542, 292, 275, 537, 458, 31874, 560, 368, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 311, 444, 31874, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 537, 458, 329, 456, 848, 542, 31874, 560, 368, 204, 264, 348, 771, 292, 886, 31, 204, 268, 456, 13, 920, 465, 368, 14, 204, 204, 204, 461, 456, 68, 13123, 68, 1031, 13, 768, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 537, 782, 21158, 17, 1051, 1943, 841, 1007, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 31, 334, 782, 311, 444, 9425, 21158, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 537, 782, 329, 456, 848, 1943, 523, 273, 717, 1007, 204, 264, 348, 1125, 292, 537, 68, 1031, 31, 204, 268, 456, 13, 2441, 14, 204, 204, 204, 461, 949, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 31, 458, 64, 873, 694, 393, 927, 64, 996, 17, 1135, 64, 325, 17, 818, 2440, 204, 264, 320, 204, 264, 3989, 275, 2480, 2279, 348, 848, 850, 329, 275, 8926, 2480, 2279, 19, 204, 204, 264, 457, 31, 204, 268, 2384, 68, 4319, 31, 332, 458, 302, 5239, 1174, 2384, 3703, 348, 848, 850, 19, 204, 305, 7616, 955, 1856, 874, 275, 2631, 3583, 31, 204, 485, 338, 388, 26929, 850, 559, 334, 588, 302, 275, 3859, 850, 19, 204, 485, 338, 388, 4319, 559, 332, 458, 302, 3703, 348, 275, 850, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 8926, 2480, 2279, 329, 273, 955, 440, 2480, 3703, 348, 848, 850, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 311, 1640, 275, 1066, 302, 850, 18842, 329, 850, 2480, 3703, 204, 264, 8926, 68, 1303, 289, 500, 204, 264, 850, 68, 5670, 68, 4319, 289, 2087, 204, 204, 264, 314, 1861, 1048, 275, 2384, 3703, 204, 264, 348, 2384, 292, 2384, 68, 4319, 31, 204, 268, 314, 763, 275, 850, 588, 329, 3703, 497, 275, 2384, 955, 204, 268, 850, 68, 417, 289, 2384, 19, 505, 499, 26929, 850, 431, 204, 268, 3703, 289, 2384, 19, 505, 499, 4319, 431, 204, 204, 268, 314, 778, 397, 3703, 529, 2755, 348, 275, 850, 204, 268, 397, 3703, 31, 204, 305, 314, 888, 275, 2480, 2279, 348, 275, 850, 204, 305, 850, 68, 5670, 289, 1066, 13, 4319, 14, 802, 1245, 13, 4319, 14, 204, 204, 305, 314, 6993, 275, 850, 2480, 2279, 329, 1395, 275, 8926, 1066, 204, 305, 850, 68, 5670, 68, 4319, 64, 676, 68, 417, 66, 289, 850, 68, 5670, 204, 305, 8926, 68, 1303, 1412, 850, 68, 5670, 204, 204, 264, 314, 888, 275, 8926, 2480, 2279, 204, 264, 8926, 68, 5670, 289, 8926, 68, 1303, 802, 1245, 13, 676, 68, 5670, 68, 4319, 14, 397, 850, 68, 5670, 68, 4319, 902, 500, 204, 204, 264, 407, 8926, 68, 5670, 17, 850, 68, 5670, 68, 4319, 204, 204, 204, 461, 456, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 31, 458, 64, 873, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2480, 2279, 348, 848, 850, 329, 275, 8926, 2480, 2279, 19, 204, 204, 264, 457, 31, 204, 268, 2384, 68, 4319, 31, 332, 458, 302, 5239, 1174, 2384, 3703, 348, 848, 850, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 888, 275, 2480, 3703, 204, 264, 8926, 68, 5670, 17, 850, 68, 5670, 68, 4319, 289, 949, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 14, 204, 204, 264, 314, 1198, 275, 2480, 2279, 348, 848, 850, 204, 264, 348, 850, 68, 417, 17, 2480, 292, 850, 68, 5670, 68, 4319, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 3317, 31, 463, 676, 68, 417, 1522, 12507, 13639, 31, 463, 5670, 4567, 23, 75, 743, 204, 204, 264, 314, 1198, 275, 8926, 2480, 2279, 204, 264, 456, 13, 75, 7, 26212, 12507, 13639, 31, 463, 32891, 68, 5670, 4567, 23, 75, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 683, 275, 4166, 3263, 19, 204, 264, 320, 204, 264, 314, 968, 683, 424, 204, 264, 2384, 68, 4319, 289, 551, 204, 268, 2832, 26929, 850, 559, 388, 22, 70, 528, 388, 4319, 559, 551, 24, 17, 435, 17, 368, 17, 435, 17, 571, 17, 681, 15745, 204, 268, 2832, 26929, 850, 559, 388, 23, 70, 528, 388, 4319, 559, 551, 25, 17, 720, 17, 435, 17, 571, 17, 681, 17, 435, 17, 720, 15745, 204, 268, 2832, 26929, 850, 559, 388, 24, 70, 528, 388, 4319, 559, 551, 26, 17, 435, 17, 571, 17, 571, 17, 681, 17, 435, 17, 720, 17, 681, 17, 435, 15745, 204, 264, 2437, 204, 264, 886, 68, 633, 68, 13926, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 17, 931, 66, 204, 264, 537, 68, 1031, 289, 388, 22747, 4606, 5676, 29035, 3852, 7, 204, 204, 264, 314, 1295, 275, 3263, 204, 264, 456, 499, 45626, 336, 8587, 2212, 204, 264, 456, 68, 13926, 336, 68, 1630, 13, 1630, 68, 633, 68, 13926, 14, 204, 264, 456, 3273, 83, 36949, 6109, 2212, 204, 264, 456, 68, 13123, 68, 1031, 13, 768, 68, 1031, 14, 204, 264, 456, 3273, 83, 11769, 34318, 2212, 204, 264, 456, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 13325, 7383, 7252, 8879, 7383, 21589, 204, 204, 673, 2599, 908, 322, 1599, 14, 353, 3060, 3557, 311, 275, 2599, 5432, 322, 10521, 14, 338, 490, 353, 275, 2599, 5432, 302, 275, 8813, 3272, 302, 273, 13229, 19, 334, 2089, 348, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 3070, 1763, 17, 397, 275, 2599, 5432, 302, 273, 1672, 353, 931, 19, 3787, 329, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 931, 19, 3787, 802, 5900, 13, 2169, 14, 289, 931, 19, 3787, 802, 887, 19, 2177, 289, 368, 19, 8867, 204, 204, 1834, 3210, 496, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8867, 19, 204, 204, 658, 13325, 7383, 21589, 8879, 7383, 7252, 10107, 334, 9664, 204, 204, 1449, 949, 275, 2599, 5432, 497, 275, 2599, 908, 302, 275, 1869, 17, 872, 618, 732, 275, 2631, 2089, 31, 204, 204, 10521, 289, 7917, 540, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 3070, 1763, 17, 397, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8867, 329, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 5432, 353, 31, 204, 204, 10521, 289, 368, 19, 8867, 540, 5900, 13, 2169, 14, 289, 368, 19, 8867, 540, 887, 19, 2177, 289, 931, 19, 3787, 204, 204, 1834, 3210, 496, 275, 2599, 5432, 302, 275, 1672, 353, 931, 19, 3787, 19, 204, 204, 658, 7383, 7252, 12082, 204, 204, 673, 2599, 908, 2089, 353, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 1834, 2089, 353, 1376, 311, 949, 275, 2599, 908, 302, 275, 1869, 17, 928, 353, 273, 3001, 302, 275, 23616, 302, 275, 1672, 1869, 19, 204, 204, 658, 7383, 21589, 12082, 204, 204, 673, 2599, 5432, 2089, 353, 31, 204, 204, 10521, 289, 5900, 13, 26898, 13, 8261, 338, 8858, 2246, 23, 802, 322, 51, 338, 368, 602, 204, 204, 11142, 31, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 22025, 353, 848, 3509, 424, 917, 204, 18, 8858, 353, 275, 1672, 1869, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 1834, 2089, 353, 1376, 311, 949, 275, 2599, 5432, 302, 273, 1672, 17, 928, 353, 273, 3001, 302, 275, 23616, 302, 275, 1672, 19, 204, 204, 658, 1165, 5248, 204, 204, 15560, 572, 874, 273, 1672, 302, 5962, 3703, 440, 273, 1869, 302, 5074, 329, 273, 2599, 5432, 302, 931, 19, 828, 572, 3480, 311, 949, 275, 2599, 908, 302, 275, 1869, 17, 572, 618, 732, 275, 2089, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 3719, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 931, 802, 5900, 13, 2169, 14, 289, 931, 802, 887, 19, 2177, 289, 368, 19, 8667, 204, 204, 1834, 3210, 496, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8667, 19, 204, 204, 3719, 572, 3480, 311, 949, 275, 2599, 5432, 497, 275, 2599, 908, 302, 275, 1869, 17, 572, 618, 732, 275, 2089, 31, 204, 204, 10521, 289, 7917, 540, 5900, 13, 51, 14, 204, 204, 10521, 289, 368, 19, 8667, 540, 5900, 13, 2169, 14, 289, 368, 19, 8667, 540, 887, 19, 2177, 289, 931, 204, 204, 1834, 3210, 496, 275, 2599, 5432, 302, 275, 1672, 353, 931, 19, 0, 531, 1498, 532, 783, 204, 647, 14698, 204, 204, 676, 19363, 31, 204, 264, 320, 204, 264, 2646, 437, 3091, 440, 273, 1012, 329, 1136, 917, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 31, 421, 17, 1136, 31, 421, 330, 204, 268, 320, 204, 268, 977, 437, 19363, 726, 19, 204, 204, 268, 457, 31, 204, 268, 1012, 322, 339, 330, 334, 1012, 917, 302, 275, 3091, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 917, 302, 275, 3091, 19, 204, 268, 320, 204, 268, 370, 19, 1530, 289, 1012, 204, 268, 370, 19, 409, 289, 1136, 204, 204, 461, 1020, 68, 2715, 68, 4841, 13, 10825, 31, 783, 64, 24363, 694, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 1752, 275, 1682, 3091, 302, 848, 3091, 292, 275, 800, 458, 19, 204, 204, 264, 457, 31, 204, 264, 7046, 322, 1218, 64, 24363, 1037, 332, 458, 302, 19363, 2828, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 332, 458, 302, 3265, 302, 275, 1682, 3091, 302, 848, 537, 3091, 19, 828, 1422, 353, 1236, 1682, 3091, 17, 2584, 338, 22, 19, 204, 264, 320, 204, 264, 397, 508, 7046, 31, 204, 268, 980, 987, 499, 3383, 458, 353, 1392, 431, 204, 204, 264, 314, 666, 273, 458, 302, 5760, 1174, 275, 1136, 917, 329, 1112, 302, 848, 3091, 204, 264, 1136, 68, 2160, 289, 6229, 4841, 19, 409, 17, 296, 14, 348, 296, 17, 3091, 292, 3209, 13, 10825, 2395, 204, 264, 314, 666, 273, 458, 302, 5760, 1174, 275, 1012, 917, 329, 1112, 302, 848, 3091, 204, 264, 1012, 68, 2160, 289, 6229, 4841, 19, 1530, 17, 296, 14, 348, 296, 17, 3091, 292, 3209, 13, 10825, 2395, 204, 204, 264, 314, 4641, 275, 1136, 1728, 329, 1012, 1728, 292, 9472, 1552, 204, 264, 1136, 68, 2160, 19, 2975, 374, 204, 264, 1012, 68, 2160, 19, 2975, 374, 204, 204, 264, 314, 977, 275, 722, 458, 440, 338, 22, 204, 264, 722, 289, 8308, 22, 66, 540, 1245, 13, 10825, 14, 204, 204, 264, 314, 977, 970, 13857, 17, 1051, 348, 275, 1136, 1728, 329, 1051, 348, 275, 1012, 1728, 204, 264, 1136, 68, 7412, 289, 500, 204, 264, 1012, 68, 7412, 289, 500, 204, 204, 264, 314, 1861, 1048, 275, 1136, 1728, 204, 264, 1335, 1136, 68, 7412, 962, 1245, 13, 409, 68, 2160, 330, 204, 268, 314, 763, 275, 790, 1136, 917, 329, 1163, 1112, 204, 268, 790, 68, 409, 17, 790, 68, 998, 289, 1136, 68, 2160, 64, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 409, 68, 7412, 66, 204, 204, 268, 314, 5360, 275, 1012, 9311, 4533, 3119, 572, 1020, 273, 1012, 917, 496, 353, 3114, 1194, 521, 1936, 311, 275, 790, 1136, 917, 204, 268, 1335, 1012, 68, 7412, 962, 1245, 13, 1530, 68, 2160, 14, 329, 1012, 68, 2160, 64, 1530, 68, 7412, 1799, 21, 66, 962, 790, 68, 409, 31, 204, 305, 1012, 68, 7412, 1412, 368, 204, 204, 268, 314, 828, 572, 1193, 273, 1012, 917, 496, 353, 3114, 1194, 521, 1936, 311, 275, 790, 1136, 917, 17, 1395, 275, 722, 204, 268, 397, 1012, 68, 7412, 962, 1245, 13, 1530, 68, 2160, 330, 204, 305, 722, 64, 1976, 68, 998, 66, 289, 1012, 68, 2160, 64, 1530, 68, 7412, 1799, 22, 66, 204, 204, 268, 314, 5360, 275, 1136, 9311, 4533, 204, 268, 1136, 68, 7412, 1412, 368, 204, 204, 264, 407, 722, 204, 204, 461, 667, 1293, 204, 264, 314, 1295, 2910, 204, 264, 683, 68, 3871, 289, 551, 204, 268, 551, 24363, 13, 23, 17, 571, 659, 19363, 13, 24, 17, 681, 659, 19363, 13, 26, 17, 887, 10354, 204, 268, 551, 24363, 13, 24, 17, 681, 659, 19363, 13, 22, 17, 720, 659, 19363, 13, 25, 17, 887, 10354, 204, 264, 2437, 204, 204, 264, 348, 683, 68, 2059, 292, 683, 68, 3871, 31, 204, 268, 722, 289, 1020, 68, 2715, 68, 4841, 13, 804, 68, 2059, 14, 204, 268, 456, 499, 12219, 3091, 3265, 529, 2180, 722, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 881, 68, 1630, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 5276, 970, 886, 4430, 19, 204, 204, 264, 457, 31, 204, 268, 273, 322, 339, 330, 334, 1043, 542, 311, 881, 19, 204, 268, 308, 322, 339, 330, 334, 1350, 542, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 273, 329, 308, 19, 204, 204, 264, 1632, 31, 204, 268, 3660, 31, 828, 273, 521, 308, 353, 508, 437, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 397, 3806, 529, 1892, 329, 980, 3660, 397, 508, 204, 264, 397, 508, 2381, 13, 70, 17, 421, 14, 521, 508, 2381, 13, 71, 17, 421, 330, 204, 268, 980, 3660, 499, 11354, 273, 329, 308, 1631, 444, 1892, 431, 204, 615, 264, 314, 888, 329, 407, 275, 1066, 302, 275, 970, 886, 204, 264, 407, 273, 465, 308, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 810, 31, 204, 268, 722, 289, 881, 68, 1630, 13, 26, 17, 1168, 14, 204, 268, 456, 13, 75, 7, 673, 1066, 302, 720, 329, 1168, 353, 31, 463, 1300, 743, 204, 264, 827, 3660, 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, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 8, 204, 8, 21118, 322, 40, 14, 11794, 346, 1053, 51, 19, 204, 8, 204, 8, 1144, 1338, 286, 353, 4476, 8130, 32, 872, 618, 304, 42612, 490, 329, 20, 276, 9749, 490, 204, 8, 1683, 275, 3099, 302, 275, 20610, 11357, 32, 3020, 46906, 510, 348, 1182, 3695, 19, 204, 204, 315, 204, 40, 11033, 1650, 9381, 2413, 19, 204, 204, 1834, 2413, 3629, 273, 9381, 741, 311, 838, 273, 15029, 1650, 1014, 204, 2004, 954, 17143, 2557, 19, 204, 315, 204, 204, 531, 20348, 532, 15029, 204, 531, 17373, 532, 532, 68, 3909, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 461, 1137, 68, 1087, 68, 3909, 13, 1087, 68, 3909, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1385, 1586, 497, 273, 2413, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 3909, 322, 325, 330, 4390, 832, 311, 1586, 2413, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 6408, 955, 19, 204, 204, 264, 1632, 31, 204, 268, 16581, 31, 828, 275, 1586, 2413, 2950, 444, 15846, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4390, 275, 1586, 2413, 974, 17373, 204, 268, 954, 68, 3909, 289, 532, 68, 3909, 13, 1087, 68, 3909, 14, 204, 268, 314, 763, 275, 1586, 955, 497, 275, 2413, 204, 268, 954, 289, 463, 644, 31, 700, 348, 896, 17, 700, 292, 27081, 13, 1087, 68, 3909, 789, 1996, 374, 397, 508, 896, 19, 7209, 611, 367, 30188, 204, 268, 407, 954, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 314, 1426, 532, 908, 204, 268, 456, 13, 75, 7, 596, 4644, 1586, 2413, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1395, 68, 1087, 13, 22444, 68, 748, 31, 15029, 17, 954, 31, 1061, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 15029, 1586, 440, 4541, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 20348, 68, 748, 322, 40, 11033, 330, 15029, 1650, 1014, 19, 204, 268, 954, 322, 1665, 330, 6408, 955, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 9683, 275, 1586, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1716, 275, 1586, 204, 268, 20348, 68, 748, 19, 4120, 19, 2045, 13, 1087, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1395, 908, 204, 268, 456, 13, 75, 7, 596, 9683, 1586, 31, 463, 74, 743, 204, 204, 461, 838, 68, 22444, 68, 748, 13, 1087, 68, 3909, 31, 1535, 64, 325, 66, 289, 443, 17, 930, 2251, 14, 393, 15029, 31, 204, 264, 320, 204, 264, 15029, 1650, 9381, 19, 204, 204, 264, 1385, 299, 1552, 302, 1586, 322, 2715, 1051, 27276, 3090, 330, 204, 204, 268, 368, 19, 2937, 2413, 19, 204, 268, 435, 19, 14839, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 3909, 322, 4437, 64, 325, 1037, 4390, 832, 311, 1586, 2413, 19, 204, 268, 930, 2251, 31, 12097, 1586, 19, 204, 204, 264, 475, 31, 204, 268, 15029, 31, 15029, 1650, 1014, 19, 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, 320, 204, 264, 314, 666, 273, 717, 15029, 1650, 1014, 204, 264, 20348, 68, 748, 289, 15029, 374, 204, 204, 264, 314, 1385, 1586, 2413, 204, 264, 397, 954, 68, 3909, 31, 204, 268, 314, 1385, 1586, 497, 275, 2413, 204, 268, 954, 289, 1137, 68, 1087, 68, 3909, 13, 1087, 68, 3909, 14, 204, 268, 314, 977, 1586, 204, 268, 20348, 68, 748, 19, 1087, 68, 531, 68, 1386, 13, 1087, 14, 204, 204, 264, 314, 1385, 4541, 1906, 1586, 204, 264, 1395, 68, 1087, 13, 22444, 68, 748, 17, 6416, 14, 204, 204, 264, 407, 20348, 68, 748, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 15029, 1650, 1014, 440, 273, 1586, 2413, 204, 264, 740, 289, 838, 68, 22444, 68, 748, 611, 2301, 68, 1087, 68, 3909, 534, 204, 204, 264, 314, 666, 273, 15029, 1650, 1014, 440, 4541, 1906, 204, 264, 740, 289, 838, 68, 22444, 68, 748, 13, 21768, 833, 555, 31555, 1963, 16263, 37, 7714, 1654, 491, 9068, 833, 15614, 1963, 534, 204, 0, 2097, 39, 13559, 338, 35683, 397, 830, 275, 38289, 2549, 444, 304, 5293, 348, 275, 1729, 8784, 19, 1765, 1763, 17, 2263, 7792, 16416, 497, 275, 29444, 3450, 311, 2284, 10590, 1924, 275, 1561, 2549, 444, 5872, 329, 1675, 468, 270, 607, 336, 348, 732, 2528, 19, 2334, 4372, 2263, 2549, 444, 1376, 348, 25760, 19, 204, 1834, 353, 2842, 1051, 302, 275, 15520, 496, 867, 11188, 311, 275, 502, 429, 1333, 8187, 13631, 560, 5979, 565, 347, 11298, 270, 17, 13197, 302, 10651, 18459, 17, 15479, 19, 204, 39, 347, 11298, 270, 867, 26055, 311, 1673, 8546, 677, 3226, 26005, 9328, 292, 502, 429, 1333, 560, 13631, 1486, 502, 5066, 14358, 466, 95, 19, 14358, 466, 95, 353, 7595, 348, 273, 2501, 311, 4481, 502, 429, 1333, 523, 275, 2304, 329, 23838, 397, 275, 3226, 9211, 5970, 17, 496, 4230, 770, 275, 17764, 19, 204, 673, 3226, 302, 502, 429, 1333, 353, 292, 275, 1352, 302, 304, 9503, 1070, 1163, 38289, 5519, 16213, 19, 204, 7937, 90, 11298, 270, 10571, 275, 26005, 496, 1330, 490, 7336, 311, 2263, 1422, 353, 1236, 1702, 7936, 448, 10590, 19, 2474, 2219, 9453, 448, 4935, 448, 311, 4627, 275, 3018, 38289, 1856, 444, 26239, 19, 204, 7, 3719, 872, 874, 496, 48049, 872, 1012, 7595, 630, 12401, 5167, 566, 3252, 19, 204, 7937, 90, 11298, 270, 9453, 1048, 1910, 8660, 440, 275, 502, 429, 1333, 26005, 1101, 6911, 440, 567, 349, 3704, 11315, 19, 1058, 17, 566, 13171, 17, 353, 273, 6294, 3979, 928, 6019, 275, 15964, 23091, 302, 830, 6705, 329, 2237, 2407, 3232, 311, 275, 4408, 1781, 19, 204, 7, 3837, 677, 830, 1465, 8160, 5167, 566, 3252, 19, 204, 6617, 349, 3704, 11315, 7881, 3490, 440, 2327, 18, 1096, 3440, 10939, 19, 1547, 13207, 630, 275, 4911, 787, 3857, 17, 8543, 3857, 329, 275, 34756, 2501, 311, 2616, 275, 1844, 19, 204, 6031, 3252, 1924, 567, 349, 3704, 11315, 273, 7497, 5343, 618, 444, 1966, 19, 1058, 5343, 1784, 732, 273, 2263, 1561, 496, 869, 7490, 14242, 299, 5194, 348, 848, 1187, 302, 2263, 5926, 19, 17107, 756, 2263, 6651, 529, 19727, 26925, 348, 848, 2824, 732, 521, 304, 18, 598, 19, 204, 39, 347, 11298, 270, 3252, 1330, 5343, 18235, 2263, 5194, 3888, 529, 22062, 17, 2090, 2075, 618, 275, 2263, 444, 1376, 348, 1877, 1163, 1043, 732, 329, 2075, 618, 275, 2263, 444, 1376, 348, 1877, 1163, 1350, 732, 36, 16274, 275, 2263, 918, 16415, 36, 204, 673, 6733, 8944, 567, 349, 3704, 11315, 17, 565, 347, 11298, 270, 3252, 17, 353, 311, 42003, 448, 3171, 2263, 448, 2237, 19, 4596, 378, 27852, 2263, 17, 490, 618, 444, 1376, 20628, 19, 204, 3070, 1014, 17, 566, 3252, 5074, 2847, 302, 275, 2263, 1376, 292, 11773, 353, 7792, 16416, 19, 4496, 275, 502, 429, 1333, 8452, 17553, 448, 437, 1763, 17, 566, 3252, 496, 677, 273, 6273, 302, 2263, 19, 204, 4259, 1683, 273, 1561, 7784, 440, 567, 349, 3704, 11315, 17, 275, 7792, 16416, 2263, 1784, 444, 18812, 329, 275, 4578, 5289, 19, 334, 16415, 497, 275, 7792, 16416, 2263, 2549, 444, 1376, 311, 17436, 504, 2357, 521, 2219, 275, 3938, 853, 630, 275, 8229, 19, 4168, 275, 4578, 529, 5289, 275, 11370, 2263, 2549, 444, 32017, 311, 18544, 275, 29444, 3450, 2528, 19, 204, 37485, 466, 95, 867, 523, 2052, 17, 13815, 3522, 275, 304, 30472, 302, 275, 3226, 677, 38289, 4968, 353, 292, 275, 11666, 6771, 17, 808, 353, 275, 690, 311, 1012, 7595, 630, 2914, 1702, 448, 10651, 18459, 17, 15479, 19, 11188, 19, 204, 7, 1834, 353, 2077, 10931, 311, 770, 5805, 1629, 329, 292, 275, 1629, 2501, 5167, 566, 10571, 275, 26005, 19, 204, 50, 429, 1333, 6903, 276, 17052, 81, 791, 1503, 70, 17228, 17, 5209, 496, 6186, 5970, 4230, 2219, 1895, 1182, 15174, 2755, 19, 204, 673, 41349, 1120, 3422, 275, 3226, 677, 790, 11315, 12735, 17, 28518, 2343, 27238, 23813, 17, 15479, 2458, 311, 636, 4430, 440, 10651, 18459, 311, 3020, 2075, 5568, 302, 2914, 529, 2755, 311, 275, 3226, 19, 0, 38, 2415, 353, 23577, 292, 437, 20487, 1629, 18, 16781, 3302, 754, 496, 275, 2415, 329, 275, 3302, 874, 1051, 2746, 292, 2323, 19, 6426, 496, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 19, 204, 204, 4377, 31, 226, 204, 18, 9124, 353, 273, 3302, 1629, 18, 16781, 630, 565, 19, 204, 18, 5219, 289, 10355, 322, 8500, 490, 677, 437, 20487, 3302, 789, 204, 18, 5370, 36770, 353, 273, 2415, 19, 204, 204, 1449, 7647, 31, 226, 204, 15578, 289, 7999, 322, 78, 19, 74, 2458, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 789, 204, 204, 23886, 31, 204, 4592, 5370, 36770, 353, 273, 2415, 31, 204, 22, 19, 25569, 289, 565, 43, 322, 8500, 830, 2902, 302, 273, 2415, 529, 1936, 14, 3168, 1581, 368, 204, 23, 19, 5219, 289, 10355, 322, 19206, 14, 3168, 1581, 435, 204, 204, 3609, 11745, 1581, 368, 497, 1581, 435, 17, 572, 636, 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, 2686, 338, 25569, 289, 10355, 338, 565, 43, 204, 1834, 11388, 311, 31, 204, 3007, 289, 23649, 204, 204, 4063, 17, 3522, 5370, 36770, 353, 273, 2415, 17, 2746, 565, 1557, 289, 2746, 565, 11604, 289, 4950, 4528, 322, 1633, 4893, 789, 204, 204, 20612, 17, 2746, 5219, 41, 289, 2746, 472, 10294, 322, 8500, 5219, 289, 10355, 329, 2746, 9124, 289, 4950, 4528, 17, 4461, 3302, 9124, 20487, 789, 204, 204, 1834, 10600, 496, 3302, 332, 1557, 353, 14039, 311, 3302, 346, 11604, 322, 1424, 15118, 18, 19246, 18, 22750, 34000, 789, 204, 204, 4356, 17, 32291, 289, 7999, 17, 928, 3210, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 10533, 19, 0, 3837, 6644, 1422, 353, 1236, 2824, 2821, 1844, 1917, 292, 275, 800, 1068, 19, 334, 1068, 6965, 311, 444, 273, 3599, 302, 5444, 329, 15300, 302, 4109, 2821, 18520, 329, 4764, 348, 1792, 5686, 4683, 17, 2864, 1142, 3490, 17, 6249, 17, 329, 12134, 19, 828, 872, 2549, 1308, 273, 2824, 2821, 1844, 17, 382, 10497, 444, 10048, 311, 1340, 872, 2616, 490, 1660, 560, 1660, 19, 0, 676, 35490, 19913, 31, 204, 264, 320, 3317, 2457, 273, 14593, 6099, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 12413, 437, 1392, 14593, 6099, 1279, 204, 268, 370, 19, 1996, 289, 1306, 204, 204, 264, 436, 881, 68, 1271, 13, 327, 17, 1184, 31, 394, 14, 393, 443, 31, 204, 268, 320, 4421, 437, 1184, 311, 275, 14593, 6099, 1279, 204, 268, 370, 19, 1996, 19, 1223, 13, 1271, 14, 204, 268, 456, 13, 75, 7, 27451, 463, 1271, 98, 311, 275, 6099, 1280, 204, 204, 264, 436, 2013, 68, 9279, 13, 327, 14, 393, 443, 31, 204, 268, 320, 14864, 275, 790, 14593, 6099, 1279, 204, 268, 397, 508, 370, 19, 1996, 31, 204, 305, 456, 499, 10357, 14593, 6099, 353, 1392, 1280, 204, 268, 902, 31, 204, 305, 456, 13, 75, 7, 11322, 14593, 6099, 31, 25401, 3759, 1541, 13, 327, 19, 1996, 3835, 204, 204, 204, 676, 5565, 17949, 31, 204, 264, 320, 3317, 7029, 348, 14056, 3576, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2755, 68, 6719, 31, 458, 64, 325, 1037, 204, 268, 320, 12413, 275, 1085, 11550, 440, 2755, 3576, 1279, 204, 268, 370, 19, 6772, 68, 6719, 289, 2755, 68, 6719, 204, 204, 264, 436, 2037, 68, 6772, 68, 6719, 13, 327, 14, 393, 443, 31, 204, 268, 320, 14864, 275, 2755, 3576, 311, 275, 575, 1279, 204, 268, 456, 499, 21235, 3576, 2212, 204, 268, 348, 296, 17, 1085, 292, 3209, 13, 327, 19, 6772, 68, 6719, 17, 1012, 34, 22, 330, 204, 305, 456, 13, 75, 1954, 78, 2829, 463, 1819, 743, 204, 204, 264, 436, 636, 68, 816, 68, 4352, 13, 327, 14, 393, 394, 31, 204, 268, 320, 5136, 275, 575, 677, 3508, 329, 3893, 490, 1279, 204, 268, 1335, 959, 31, 204, 305, 575, 68, 4352, 289, 537, 499, 5213, 2694, 437, 4248, 497, 275, 458, 4166, 322, 276, 379, 21, 12, 311, 5925, 330, 2810, 204, 305, 397, 575, 68, 4352, 564, 379, 21, 597, 204, 485, 407, 575, 68, 4352, 204, 305, 810, 31, 204, 485, 3508, 68, 1190, 289, 421, 13, 816, 68, 4352, 14, 204, 485, 397, 368, 2186, 3508, 68, 1190, 2186, 1245, 13, 327, 19, 6772, 68, 6719, 330, 204, 895, 407, 575, 68, 4352, 204, 485, 902, 31, 204, 895, 456, 13, 75, 7, 1962, 3508, 19, 2982, 2694, 273, 542, 1283, 368, 329, 463, 1796, 13, 327, 19, 6772, 68, 6719, 3835, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 8952, 741, 311, 1523, 275, 2548, 1279, 204, 264, 2755, 68, 6719, 289, 3134, 16074, 528, 388, 13411, 528, 388, 19314, 528, 388, 13678, 528, 388, 13678, 7220, 528, 388, 16521, 8087, 19263, 1339, 204, 264, 1085, 68, 12192, 289, 5565, 17949, 13, 6772, 68, 6719, 14, 204, 264, 14593, 68, 9279, 289, 35490, 19913, 374, 204, 204, 264, 1335, 959, 31, 204, 268, 1085, 68, 12192, 19, 2994, 68, 6772, 68, 6719, 374, 204, 268, 575, 68, 4352, 289, 1085, 68, 12192, 19, 505, 68, 816, 68, 4352, 374, 204, 268, 397, 575, 68, 4352, 564, 379, 21, 597, 204, 305, 2280, 204, 268, 4285, 68, 1819, 289, 1085, 68, 12192, 19, 6772, 68, 6719, 64, 339, 13, 816, 68, 4352, 14, 338, 368, 66, 204, 268, 14593, 68, 9279, 19, 826, 68, 1271, 13, 9227, 68, 1819, 14, 204, 268, 14593, 68, 9279, 19, 1529, 68, 9279, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 12938, 1662, 311, 838, 273, 5420, 292, 5959, 19, 204, 3837, 6019, 273, 741, 311, 838, 273, 5420, 496, 304, 2199, 273, 1242, 329, 9321, 273, 717, 1242, 311, 273, 570, 19, 204, 315, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 461, 838, 68, 18775, 13, 748, 68, 417, 31, 394, 17, 570, 68, 417, 31, 394, 17, 3299, 68, 1993, 68, 417, 31, 394, 17, 717, 68, 1993, 68, 417, 31, 394, 17, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 31, 394, 14, 393, 6447, 19, 11267, 31, 204, 264, 320, 204, 264, 2605, 273, 5420, 496, 304, 2199, 273, 1242, 329, 9321, 273, 717, 1242, 311, 273, 570, 19, 204, 204, 264, 457, 31, 204, 268, 740, 68, 417, 322, 325, 330, 334, 588, 302, 275, 5959, 740, 19, 204, 268, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 570, 19, 204, 268, 3299, 68, 1993, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1242, 311, 444, 27959, 19, 204, 268, 717, 68, 1993, 68, 417, 322, 325, 330, 334, 717, 588, 302, 275, 1242, 19, 204, 268, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 322, 325, 330, 334, 588, 302, 275, 717, 1242, 311, 444, 4327, 19, 204, 204, 264, 475, 31, 204, 268, 6447, 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, 11267, 31, 334, 1966, 5420, 19, 204, 264, 320, 204, 264, 314, 9918, 275, 6127, 348, 808, 5420, 204, 264, 6127, 289, 551, 204, 268, 314, 6652, 275, 3090, 5420, 353, 379, 32294, 68, 2572, 68, 417, 12, 204, 268, 322, 748, 68, 417, 17, 379, 32294, 68, 2572, 68, 417, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 2758, 311, 444, 8942, 292, 808, 5420, 204, 264, 2758, 289, 551, 204, 268, 314, 12596, 275, 379, 929, 68, 1993, 68, 417, 12, 1242, 311, 379, 1957, 68, 1993, 68, 417, 12, 292, 275, 379, 809, 68, 417, 12, 570, 204, 268, 6447, 19, 32662, 1186, 13, 204, 305, 570, 68, 417, 34, 809, 68, 417, 17, 204, 305, 3299, 68, 417, 34, 929, 68, 1993, 68, 417, 17, 204, 305, 717, 68, 417, 34, 1957, 68, 1993, 68, 417, 17, 204, 268, 5334, 204, 268, 314, 1255, 273, 717, 379, 1957, 68, 1993, 68, 417, 68, 633, 68, 826, 12, 1242, 311, 275, 379, 809, 68, 417, 12, 570, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 34, 809, 68, 417, 17, 204, 305, 588, 34, 1957, 68, 1993, 68, 417, 68, 633, 68, 826, 17, 204, 305, 1242, 34, 1618, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 17, 3749, 34, 1021, 659, 204, 268, 5334, 204, 264, 2437, 204, 204, 264, 314, 666, 275, 5420, 204, 264, 5420, 289, 1187, 611, 11267, 491, 322, 12571, 19, 11267, 18671, 463, 204, 268, 379, 12362, 597, 6127, 17, 204, 268, 379, 6512, 597, 2758, 17, 204, 264, 7084, 204, 204, 264, 407, 5420, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 68, 417, 289, 379, 3924, 3543, 12, 204, 264, 570, 68, 417, 289, 379, 2572, 12, 204, 264, 3299, 68, 1993, 68, 417, 289, 379, 417, 12, 204, 264, 717, 68, 1993, 68, 417, 289, 379, 809, 12, 204, 264, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 289, 379, 7620, 12, 204, 204, 264, 5420, 289, 838, 68, 18775, 13, 748, 68, 417, 17, 570, 68, 417, 17, 3299, 68, 1993, 68, 417, 17, 717, 68, 1993, 68, 417, 17, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 14, 204, 264, 456, 13, 18775, 19, 12362, 14, 204, 264, 456, 13, 18775, 19, 6512, 14, 204, 0, 531, 1498, 532, 1061, 204, 204, 676, 48954, 31, 204, 264, 320, 204, 264, 332, 850, 496, 30589, 275, 6137, 302, 273, 5959, 5420, 510, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 570, 68, 417, 31, 394, 17, 1242, 68, 417, 31, 394, 17, 8620, 68, 644, 68, 809, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 48954, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 570, 311, 444, 5846, 19, 204, 268, 338, 1242, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1242, 311, 444, 5846, 19, 204, 268, 338, 8620, 68, 644, 68, 809, 322, 325, 330, 334, 588, 302, 275, 570, 348, 275, 8620, 896, 19, 204, 268, 320, 204, 268, 370, 19, 809, 68, 417, 289, 570, 68, 417, 204, 268, 370, 19, 1993, 68, 417, 289, 1242, 68, 417, 204, 268, 370, 19, 24663, 68, 644, 68, 809, 289, 8620, 68, 644, 68, 809, 204, 268, 370, 19, 809, 68, 3939, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2629, 289, 463, 204, 305, 1242, 68, 417, 31, 2832, 8179, 559, 1078, 17, 388, 8436, 559, 1078, 98, 204, 268, 1211, 204, 204, 264, 436, 881, 68, 24663, 68, 644, 13, 327, 17, 1540, 68, 876, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 8620, 896, 311, 275, 570, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1540, 68, 876, 322, 339, 330, 334, 1540, 700, 348, 275, 8620, 896, 19, 204, 268, 320, 204, 268, 314, 1255, 8620, 896, 311, 275, 570, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 24663, 68, 644, 1339, 289, 370, 19, 24663, 68, 644, 68, 809, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 2305, 1339, 289, 1540, 68, 876, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8179, 1339, 289, 1078, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8436, 1339, 289, 1078, 204, 204, 264, 436, 9749, 68, 1993, 13, 327, 17, 2512, 68, 8179, 31, 1109, 14, 393, 443, 31, 204, 268, 320, 204, 268, 37377, 275, 1242, 311, 2512, 3749, 1019, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2512, 68, 8179, 322, 2107, 330, 2266, 311, 2512, 3749, 1019, 348, 275, 1242, 19, 204, 268, 320, 204, 268, 314, 17023, 275, 1242, 311, 2512, 3749, 1019, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8179, 1339, 289, 2512, 68, 8179, 204, 204, 264, 436, 636, 68, 809, 68, 3939, 13, 327, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2440, 204, 268, 320, 204, 268, 475, 275, 570, 2357, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2440, 334, 570, 2357, 19, 204, 268, 320, 204, 268, 407, 370, 19, 809, 68, 3939, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 5420, 289, 48954, 499, 21684, 17635, 40, 363, 37556, 528, 388, 15803, 37556, 528, 388, 40, 363, 37556, 431, 204, 264, 456, 499, 6238, 570, 2357, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 204, 264, 314, 1255, 8620, 896, 311, 275, 570, 204, 264, 5420, 19, 826, 68, 24663, 68, 644, 13, 22, 14, 204, 264, 456, 3273, 83, 1655, 2357, 1877, 5209, 8620, 896, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 204, 264, 314, 17023, 275, 1242, 311, 2512, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3749, 1019, 204, 264, 5420, 19, 20874, 68, 1993, 13, 1021, 14, 204, 264, 456, 3273, 83, 1655, 2357, 1877, 11227, 275, 1242, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 0, 647, 3805, 448, 1246, 204, 531, 10650, 25, 532, 5322, 204, 531, 17894, 1931, 532, 26981, 204, 531, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 3454, 204, 50, 27024, 68, 8298, 7216, 68, 3778, 289, 388, 3189, 1963, 747, 25337, 17776, 19, 1453, 11291, 204, 50, 27024, 68, 8440, 68, 3778, 289, 388, 3189, 1963, 2816, 2936, 18, 25679, 19, 1453, 11291, 204, 50, 27024, 68, 3637, 35774, 68, 3778, 289, 388, 3189, 1963, 49032, 20892, 18, 25679, 19, 1453, 11291, 204, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 289, 388, 3189, 1963, 25679, 42518, 43680, 19, 1453, 11291, 204, 204, 461, 11088, 68, 25679, 68, 7577, 13, 6964, 31, 26981, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 4240, 497, 275, 3537, 26093, 8134, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 4240, 1724, 329, 10313, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 4240, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 8298, 7216, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 4240, 1724, 329, 10313, 204, 264, 4240, 68, 1778, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 2387, 68, 1778, 5561, 505, 68, 492, 374, 204, 264, 4240, 68, 85, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 5982, 68, 356, 12388, 68, 3825, 5561, 505, 68, 492, 374, 204, 204, 264, 407, 2832, 7577, 68, 1778, 559, 4240, 68, 1778, 17, 388, 7577, 68, 85, 559, 4240, 68, 85, 98, 204, 204, 461, 11088, 68, 25679, 68, 935, 13, 6964, 31, 26981, 14, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 275, 20682, 13873, 752, 497, 275, 11036, 24349, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1274, 302, 275, 20682, 13873, 752, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 752, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 8440, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 752, 1977, 204, 264, 1977, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 39836, 68, 492, 68, 4670, 5561, 70, 1166, 9919, 1339, 204, 204, 264, 407, 502, 27024, 68, 8440, 68, 3778, 465, 1977, 204, 204, 461, 11088, 68, 25679, 68, 20892, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 13873, 10942, 497, 275, 46960, 30275, 5885, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2966, 1435, 1174, 13873, 10942, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 2966, 5630, 497, 275, 13873, 10942, 5885, 204, 264, 5630, 289, 1246, 19, 976, 68, 2079, 13, 50, 27024, 68, 3637, 35774, 68, 3778, 14, 204, 204, 264, 314, 1986, 275, 1043, 1435, 329, 1883, 490, 448, 2966, 204, 264, 2349, 289, 5630, 64, 21, 66, 204, 264, 2349, 19, 3786, 289, 2470, 491, 379, 45691, 491, 379, 28395, 839, 204, 264, 407, 2349, 19, 633, 68, 2079, 13, 3191, 1022, 1867, 1435, 18, 2892, 336, 431, 204, 204, 461, 11088, 68, 25679, 68, 42518, 43680, 13, 6964, 31, 26981, 14, 393, 783, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18640, 13873, 18050, 43680, 497, 275, 13873, 40685, 43680, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 64, 325, 17, 394, 2440, 332, 458, 302, 5239, 1174, 275, 20500, 752, 5448, 329, 10614, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 18050, 43680, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 20500, 5444, 204, 264, 5444, 289, 551, 78, 1166, 9919, 1339, 348, 296, 292, 5804, 19, 2269, 68, 668, 611, 70, 534, 397, 296, 1166, 9919, 1339, 2167, 13088, 1339, 204, 264, 20500, 68, 7037, 289, 551, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 465, 5444, 64, 78, 66, 348, 296, 292, 933, 13, 1796, 13, 7037, 602, 397, 296, 1564, 435, 2167, 500, 66, 204, 204, 264, 314, 1986, 275, 20500, 752, 5448, 329, 10614, 204, 264, 18050, 43680, 289, 1306, 204, 264, 348, 1977, 292, 20500, 68, 7037, 31, 204, 268, 5214, 19, 15440, 13, 2850, 14, 204, 268, 5004, 289, 5214, 19, 2079, 204, 268, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 268, 3840, 68, 805, 289, 502, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 465, 5804, 19, 2269, 68, 668, 499, 70, 528, 1029, 1022, 68, 8436, 15109, 23, 10017, 9919, 1339, 204, 268, 1724, 289, 5804, 19, 2269, 499, 77, 23, 528, 850, 24097, 1778, 5561, 505, 68, 492, 374, 204, 268, 18050, 43680, 19, 1223, 7075, 3371, 68, 805, 559, 3840, 68, 805, 17, 388, 1778, 559, 1724, 1937, 204, 204, 264, 407, 18050, 43680, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 424, 497, 4109, 19468, 19, 204, 204, 264, 475, 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, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 18044, 13873, 424, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 1014, 204, 264, 11216, 68, 546, 289, 2552, 14772, 68, 546, 597, 45832, 1528, 9310, 9447, 204, 264, 5214, 289, 26981, 611, 10082, 491, 930, 14772, 68, 546, 17, 21572, 34, 1975, 14, 204, 204, 264, 810, 31, 204, 268, 314, 18640, 275, 13873, 424, 204, 268, 4240, 289, 11088, 68, 25679, 68, 7577, 13, 6964, 14, 204, 268, 20682, 68, 935, 68, 805, 289, 11088, 68, 25679, 68, 935, 13, 6964, 14, 204, 268, 1435, 289, 11088, 68, 25679, 68, 20892, 374, 204, 268, 18050, 43680, 289, 11088, 68, 25679, 68, 42518, 43680, 13, 6964, 14, 204, 204, 268, 314, 666, 273, 955, 1174, 275, 18044, 13873, 424, 204, 268, 28467, 68, 481, 289, 463, 204, 305, 388, 7577, 559, 4240, 17, 204, 305, 388, 42282, 68, 935, 68, 805, 559, 20682, 68, 935, 68, 805, 17, 204, 305, 388, 1867, 559, 1435, 17, 204, 305, 388, 42518, 43680, 559, 18050, 43680, 204, 268, 1211, 204, 204, 268, 407, 28467, 68, 481, 204, 264, 6666, 31, 204, 268, 314, 15655, 275, 5214, 1014, 204, 268, 5214, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 26410, 68, 25679, 68, 481, 1447, 204, 0, 2310, 874, 273, 21185, 1690, 302, 1225, 311, 770, 311, 4897, 496, 830, 2077, 2459, 5506, 1250, 4362, 14118, 965, 884, 311, 275, 12347, 329, 529, 8106, 6999, 19, 334, 3094, 4240, 353, 496, 397, 830, 8740, 1895, 273, 21219, 311, 13405, 437, 24493, 45563, 17, 572, 7051, 618, 1895, 273, 2712, 19, 204, 3728, 353, 437, 24493, 45563, 36, 204, 2021, 24493, 45563, 353, 15502, 1465, 275, 1978, 329, 2590, 18, 17562, 302, 830, 2459, 17, 329, 353, 18596, 311, 3100, 1465, 1662, 1429, 9116, 11845, 618, 444, 27956, 557, 19, 10107, 3200, 17, 830, 8740, 529, 15502, 1465, 1017, 2459, 1101, 397, 572, 5847, 311, 16036, 2077, 45200, 11845, 497, 690, 311, 690, 17, 572, 1741, 508, 2318, 594, 496, 572, 529, 2317, 794, 339, 18941, 3483, 2317, 16533, 1429, 2459, 292, 2077, 4364, 19, 204, 3728, 618, 872, 770, 311, 4897, 872, 529, 437, 24493, 45563, 36, 204, 2310, 529, 42246, 311, 18635, 496, 13195, 17706, 869, 7001, 273, 3697, 592, 7696, 9465, 730, 36205, 10903, 19, 3665, 618, 1225, 1924, 275, 3200, 292, 1465, 2468, 4112, 17, 329, 490, 1120, 2886, 872, 311, 1356, 1792, 12759, 302, 1214, 6296, 329, 311, 2390, 1182, 24493, 11845, 1273, 4331, 19, 334, 10903, 1425, 6019, 3073, 311, 719, 18, 633, 18, 672, 4764, 17, 5685, 311, 6635, 1214, 10726, 17, 329, 1483, 1465, 5395, 19854, 41, 6196, 872, 618, 3389, 594, 292, 1214, 3346, 8452, 521, 8955, 19, 204, 2310, 41230, 496, 11243, 353, 3060, 23124, 17, 754, 382, 3480, 311, 13023, 275, 4362, 38356, 15374, 884, 4446, 302, 275, 10903, 496, 19236, 12361, 523, 4549, 1702, 448, 31, 2545, 24493, 1330, 974, 44528, 17, 25583, 273, 15373, 17, 9116, 48388, 17, 329, 2150, 36234, 19, 204, 5824, 13967, 302, 275, 3200, 872, 1120, 5495, 273, 20608, 18132, 340, 311, 881, 311, 1214, 1692, 9357, 17, 42090, 3680, 6623, 2458, 329, 808, 1120, 6548, 1214, 21219, 311, 13405, 437, 24493, 45563, 19, 1785, 830, 41230, 496, 23091, 353, 273, 3060, 9055, 1864, 329, 273, 2875, 3697, 3200, 2950, 770, 490, 16760, 17, 1101, 6432, 808, 21219, 1660, 1120, 444, 9764, 329, 24380, 299, 348, 872, 17, 329, 304, 2833, 1546, 348, 1214, 2459, 19, 0, 921, 46391, 24219, 4172, 21186, 1674, 15430, 19896, 40243, 15430, 13032, 43533, 27986, 3152, 19896, 204, 15433, 1345, 5768, 46391, 24219, 4172, 21186, 8922, 36, 204, 921, 46391, 24219, 4172, 21186, 5290, 2499, 10531, 13444, 47834, 6155, 725, 7764, 6977, 5958, 6347, 7608, 460, 46391, 1116, 408, 7466, 24219, 4172, 21186, 23445, 12924, 27737, 45813, 568, 12994, 24219, 4172, 21186, 460, 31622, 12431, 1116, 18, 23337, 31755, 2823, 12623, 1227, 460, 21558, 568, 30533, 6364, 1886, 6049, 3411, 1971, 408, 14407, 9620, 14065, 725, 15730, 2321, 725, 9109, 3716, 13445, 8085, 12166, 3984, 3068, 3716, 13445, 42523, 6, 226, 24219, 4172, 21186, 25495, 1773, 13, 30889, 21807, 552, 1931, 2706, 14, 12693, 44748, 15387, 1401, 22118, 568, 24618, 9993, 6730, 854, 24219, 4172, 21186, 5265, 31211, 4172, 27962, 43675, 2831, 568, 204, 4411, 1254, 2336, 30602, 17699, 20621, 6478, 1227, 37892, 4172, 33300, 2253, 4096, 32976, 568, 24219, 4172, 21186, 45838, 19235, 12744, 43675, 2831, 1191, 2371, 408, 2174, 20026, 2592, 258, 15706, 460, 24618, 9993, 6730, 1822, 22186, 3675, 26044, 43399, 42012, 26496, 568, 43675, 2831, 1189, 22834, 4660, 9109, 7205, 10493, 1227, 37613, 28311, 568, 204, 39138, 921, 24219, 4172, 21186, 45838, 460, 45415, 12744, 1811, 24618, 9993, 6730, 568, 204, 6325, 3004, 15626, 41910, 1456, 854, 24219, 4172, 21186, 19865, 24986, 6841, 408, 15932, 10451, 6055, 1003, 11259, 3068, 2568, 408, 854, 7061, 270, 408, 12118, 1227, 48, 18, 37485, 1955, 17179, 6991, 7420, 39138, 5958, 10272, 3293, 11095, 37186, 21788, 1773, 568, 24618, 9993, 6730, 17005, 6806, 14617, 4127, 40243, 37402, 24618, 9993, 6730, 6236, 4035, 28286, 20743, 408, 12924, 28778, 30296, 1227, 26511, 5958, 6966, 15764, 3560, 568, 204, 6281, 950, 252, 4134, 7335, 35842, 4134, 14244, 7442, 239, 11480, 237, 13440, 5957, 47099, 7442, 238, 3562, 1990, 7442, 255, 47099, 7442, 241, 7442, 128, 45334, 4134, 204, 11277, 113, 33630, 11480, 261, 47004, 11480, 114, 11277, 255, 11277, 109, 11277, 235, 33630, 725, 11277, 235, 11277, 259, 11277, 254, 11480, 101, 48791, 5957, 1674, 38761, 7442, 110, 37984, 240, 171, 107, 247, 4786, 238, 7711, 7442, 109, 13440, 1116, 11480, 123, 11480, 129, 11277, 231, 11277, 249, 7442, 240, 22187, 7442, 249, 11480, 247, 30931, 37505, 7442, 110, 43224, 7442, 103, 43224, 7442, 103, 19566, 12244, 7442, 110, 7442, 238, 10725, 7442, 236, 43774, 105, 35842, 7442, 128, 45334, 568, 204, 8570, 1649, 251, 7442, 109, 7100, 106, 28212, 11480, 232, 11277, 100, 11277, 231, 11480, 125, 33630, 11480, 122, 30931, 7573, 2868, 11480, 230, 7442, 248, 7442, 250, 35842, 7442, 128, 7442, 255, 11480, 247, 30931, 47099, 7442, 248, 2857, 2433, 7442, 243, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7442, 260, 7442, 249, 35842, 568, 204, 2500, 4384, 46058, 7442, 110, 44339, 7442, 238, 10725, 7442, 236, 43774, 105, 7442, 238, 11480, 238, 7442, 128, 45334, 568, 7442, 128, 7442, 259, 12598, 2436, 7442, 110, 11247, 35842, 7442, 259, 7442, 238, 3562, 1990, 7442, 255, 44339, 8388, 240, 2544, 30931, 25180, 7442, 110, 7442, 109, 11480, 239, 2730, 7442, 248, 7442, 250, 35842, 7442, 128, 45334, 30931, 47099, 7442, 248, 1111, 6436, 7442, 243, 7442, 260, 7442, 249, 35842, 7442, 128, 7442, 255, 568, 204, 14244, 37, 7442, 122, 30931, 7442, 248, 25960, 7442, 240, 7442, 128, 7442, 260, 30931, 1740, 44339, 7442, 247, 7442, 100, 11480, 237, 7442, 239, 11480, 237, 7442, 108, 7442, 234, 7442, 258, 4134, 204, 0, 12607, 2554, 529, 27500, 7196, 560, 10178, 16663, 275, 3714, 302, 3585, 25543, 292, 275, 30349, 36660, 17, 329, 1675, 37259, 275, 3585, 19, 4682, 275, 16615, 5367, 302, 275, 18319, 18, 398, 3585, 6609, 273, 2637, 45424, 5316, 17, 15362, 529, 1425, 3250, 284, 12407, 2060, 19, 30127, 1741, 444, 30019, 13996, 322, 91, 8399, 279, 5413, 21371, 6124, 1882, 275, 28827, 1745, 302, 275, 3506, 14, 521, 10802, 3275, 322, 91, 8399, 279, 5413, 508, 21371, 6124, 1882, 275, 28827, 1745, 302, 275, 3506, 789, 8278, 353, 273, 458, 302, 275, 15362, 292, 20324, 18, 15585, 5589, 19, 204, 22, 19, 802, 85, 20, 322, 1947, 3783, 293, 46542, 284, 292, 3098, 330, 10802, 3275, 6975, 1079, 464, 3506, 19, 204, 23, 19, 802, 71, 20, 322, 1947, 3783, 293, 46542, 308, 292, 6174, 330, 30019, 13996, 6975, 1079, 464, 3506, 19, 204, 24, 19, 802, 89, 20, 322, 1947, 3783, 293, 46542, 265, 292, 27696, 330, 10802, 3275, 520, 358, 6775, 3506, 19, 204, 25, 19, 802, 73, 20, 322, 1947, 3783, 293, 46542, 303, 292, 7844, 330, 30019, 13996, 520, 358, 6775, 3506, 19, 204, 26, 19, 802, 80, 20, 322, 1947, 3783, 293, 46542, 279, 292, 2737, 330, 10802, 3275, 30828, 290, 3506, 19, 204, 27, 19, 802, 76, 20, 322, 1947, 3783, 293, 46542, 357, 292, 10602, 330, 30019, 13996, 30828, 290, 3506, 19, 204, 64, 4536, 311, 388, 1046, 1013, 1372, 1339, 204, 64, 4536, 311, 388, 6674, 271, 6531, 1339, 0, 5399, 529, 275, 1199, 3888, 440, 10660, 5169, 31, 204, 204, 777, 22, 19, 332, 1629, 3302, 440, 2902, 571, 3179, 17, 681, 3179, 17, 329, 720, 3179, 353, 11780, 523, 275, 1653, 302, 571, 3179, 311, 798, 273, 13708, 19, 334, 3351, 302, 275, 13708, 754, 7196, 353, 4626, 204, 204, 14562, 289, 368, 20, 24, 23315, 23, 77, 289, 322, 22, 20, 24, 2771, 5780, 2771, 4236, 2771, 681, 14, 3179, 24, 289, 1598, 3080, 3179, 24, 204, 204, 777, 23, 19, 592, 273, 31799, 17, 720, 3179, 302, 8434, 14646, 19, 334, 3351, 302, 2263, 496, 14646, 523, 368, 19, 26, 39785, 302, 4410, 353, 4626, 204, 204, 22, 30554, 879, 289, 931, 17, 1207, 309, 23, 204, 8928, 289, 322, 22, 19, 26, 2771, 10850, 14, 309, 23, 289, 43266, 309, 23, 204, 30364, 289, 322, 26, 20, 2051, 14, 309, 289, 322, 22, 20, 1036, 14, 309, 204, 14562, 289, 322, 8928, 2771, 25661, 14, 289, 322, 1909, 1207, 2771, 368, 20, 1036, 14, 309, 24, 289, 26507, 309, 24, 204, 204, 777, 24, 19, 332, 18298, 353, 2153, 309, 2482, 329, 1598, 309, 9055, 19, 828, 275, 1066, 302, 275, 4549, 302, 275, 8224, 329, 275, 22979, 353, 1936, 311, 275, 1066, 302, 275, 4549, 302, 3420, 12540, 17, 275, 3351, 302, 275, 18298, 353, 4626, 204, 204, 23, 13, 1909, 465, 1598, 14, 2771, 373, 289, 435, 13, 1909, 2771, 1598, 14, 204, 77, 289, 322, 11425, 20, 4343, 14, 309, 289, 322, 1036, 20, 24, 14, 309, 204, 14562, 289, 322, 1909, 2771, 1598, 2771, 1199, 20, 24, 14, 309, 24, 289, 18973, 309, 24, 204, 204, 777, 25, 19, 14300, 10542, 15930, 302, 18381, 353, 9470, 1025, 273, 8795, 368, 8966, 292, 8035, 19, 334, 1277, 302, 275, 8795, 292, 6166, 1120, 444, 4626, 204, 204, 3661, 275, 1277, 302, 275, 8795, 444, 373, 19, 204, 28119, 289, 368, 20, 23, 8966, 289, 368, 20, 1036, 3179, 19, 204, 13, 2898, 20, 28, 2771, 368, 20, 1036, 2771, 368, 20, 1036, 2771, 373, 14, 289, 14300, 204, 77, 289, 322, 2682, 2771, 1199, 2771, 1199, 2771, 1168, 4061, 2898, 289, 1132, 6386, 3179, 289, 13451, 309, 204, 204, 777, 26, 19, 332, 29668, 11925, 9669, 353, 4839, 3179, 2482, 329, 1163, 8348, 8035, 353, 1132, 3179, 19, 828, 275, 13276, 302, 275, 9669, 353, 368, 3179, 329, 11925, 28635, 1132, 357, 20, 3912, 24, 17, 1675, 275, 2308, 302, 275, 9669, 353, 4626, 204, 204, 14562, 302, 11925, 289, 322, 2898, 20, 28, 2771, 6229, 25, 14, 23, 2317, 322, 24, 14, 23, 66, 2771, 4839, 14, 3179, 24, 289, 681, 8867, 3179, 24, 204, 15947, 302, 11925, 289, 322, 7378, 23, 2771, 1132, 14, 34080, 289, 5075, 5007, 34080, 289, 571, 19, 27, 5007, 5279, 204, 204, 777, 27, 19, 332, 13913, 5701, 273, 1277, 571, 309, 329, 15715, 435, 309, 353, 15157, 523, 273, 17836, 19, 334, 13913, 47838, 560, 368, 3179, 1330, 273, 1064, 8290, 523, 490, 19, 334, 3284, 302, 275, 1064, 353, 4626, 204, 204, 14562, 302, 2263, 27517, 289, 322, 24, 2771, 435, 2771, 500, 19, 3222, 14, 309, 24, 289, 500, 19, 7788, 309, 24, 204, 22719, 302, 1064, 289, 11010, 302, 2263, 27517, 2771, 22671, 302, 2263, 289, 322, 21, 19, 7788, 2771, 3861, 14, 5279, 289, 3382, 5279, 204, 204, 777, 28, 19, 2753, 4757, 7117, 273, 19610, 292, 273, 2263, 8857, 2846, 309, 2482, 329, 1199, 309, 9055, 523, 273, 10641, 2344, 19, 828, 275, 2480, 11492, 302, 2263, 560, 273, 1064, 353, 681, 309, 24, 17, 1675, 275, 10462, 292, 275, 2263, 1870, 292, 275, 8857, 1120, 444, 4626, 204, 204, 6425, 3351, 302, 2263, 27517, 289, 322, 25, 2771, 2753, 14, 309, 24, 289, 2031, 309, 24, 204, 55, 594, 292, 2263, 1870, 289, 551, 2825, 6918, 2846, 2771, 1199, 2395, 309, 289, 500, 19, 1511, 309, 289, 2019, 3179, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 777, 29, 19, 334, 36588, 1853, 302, 273, 1629, 9951, 13708, 353, 931, 309, 329, 1163, 1853, 353, 1132, 309, 19, 1752, 275, 1864, 302, 1163, 22946, 3776, 11599, 204, 204, 81, 289, 931, 309, 17, 373, 289, 1132, 309, 204, 6739, 1462, 3776, 1864, 289, 5780, 9411, 289, 322, 3080, 2771, 887, 2771, 931, 14, 309, 23, 289, 3382, 5780, 309, 23, 204, 204, 777, 30, 19, 332, 279, 337, 1349, 887, 82, 2482, 329, 681, 309, 6592, 3192, 2263, 719, 311, 273, 4450, 302, 368, 309, 2019, 3179, 19, 334, 1113, 1864, 302, 275, 14314, 3776, 353, 4626, 204, 204, 8928, 302, 275, 14314, 3776, 289, 551, 23, 13, 21275, 465, 308, 77, 465, 317, 77, 14, 2317, 18293, 66, 289, 551, 23, 322, 25, 2771, 368, 19, 1511, 465, 887, 2771, 368, 19, 1511, 14, 465, 887, 2771, 681, 66, 309, 23, 289, 10516, 309, 23, 204, 204, 777, 1003, 19, 332, 39162, 6087, 353, 302, 13737, 2665, 440, 5150, 7332, 309, 610, 5075, 309, 19, 8879, 848, 302, 1163, 13303, 17, 273, 2415, 353, 4581, 2258, 754, 448, 311, 1895, 437, 1451, 2871, 19, 828, 275, 1277, 302, 275, 2415, 353, 1132, 309, 17, 275, 3351, 302, 275, 2871, 322, 266, 309, 24, 14, 353, 4626, 204, 204, 81, 289, 322, 4553, 2317, 2247, 14, 82, 289, 4236, 309, 17, 308, 289, 322, 3701, 2317, 2247, 14, 82, 289, 1199, 309, 17, 373, 289, 1132, 309, 204, 14562, 302, 275, 2871, 289, 322, 2177, 2771, 1199, 2771, 1132, 14, 309, 24, 289, 720, 9030, 309, 24, 204, 204, 777, 1641, 19, 334, 22946, 3776, 1864, 302, 273, 27139, 45249, 353, 44215, 309, 23, 329, 1163, 3351, 353, 1233, 2500, 309, 24, 19, 1752, 275, 3726, 302, 1163, 8035, 311, 1163, 1853, 11599, 204, 204, 13, 17798, 23, 77, 4061, 322, 23, 17798, 77, 14, 289, 1233, 2500, 20, 31276, 204, 87, 289, 6229, 30, 2500, 802, 31276, 14, 2771, 435, 66, 289, 1168, 309, 329, 17, 435, 17798, 77, 289, 44215, 204, 77, 289, 322, 31276, 2771, 1168, 20, 2898, 2771, 368, 20, 23, 2771, 368, 20, 28, 14, 289, 887, 309, 204, 10888, 3726, 289, 435, 87, 20, 77, 289, 2905, 20, 27, 289, 1168, 1164, 571, 204, 204, 777, 1258, 19, 332, 279, 337, 1349, 302, 5960, 23885, 26802, 7935, 1718, 43809, 571, 19, 24, 309, 560, 435, 19, 27, 309, 560, 368, 19, 22, 309, 329, 1163, 12540, 529, 720, 3179, 9205, 19, 334, 13276, 302, 275, 5533, 353, 4626, 204, 204, 3661, 275, 13276, 302, 275, 5533, 444, 610, 3179, 19, 204, 9538, 17, 6229, 34377, 2317, 931, 14, 2771, 322, 31159, 2317, 931, 14, 2771, 322, 13151, 2317, 610, 2395, 289, 23885, 2771, 3861, 204, 13, 13151, 2317, 610, 14, 289, 322, 20249, 2771, 3861, 4061, 322, 22556, 2771, 10835, 14, 289, 1607, 204, 93, 289, 931, 3179, 204, 204, 777, 2353, 19, 2935, 353, 275, 1113, 3776, 1864, 302, 273, 1629, 9951, 13708, 302, 1853, 2905, 3179, 329, 1034, 3441, 1168, 3179, 9390, 204, 204, 77, 289, 2905, 3179, 17, 468, 289, 1168, 3179, 204, 6425, 3776, 1864, 289, 5780, 9411, 465, 23315, 23, 289, 322, 2898, 20, 28, 2771, 1168, 2771, 7776, 465, 5436, 20, 28, 2771, 10360, 14, 3179, 23, 289, 681, 4966, 19, 4049, 3179, 23, 204, 204, 777, 2300, 19, 332, 3403, 6871, 353, 7196, 497, 275, 3821, 8744, 560, 29345, 2327, 5406, 11078, 302, 571, 17, 681, 17, 329, 720, 3179, 1653, 19, 2935, 353, 275, 3726, 302, 275, 1113, 3776, 4549, 302, 275, 5406, 11078, 329, 275, 3403, 6871, 9390, 204, 204, 14562, 302, 275, 3403, 6871, 289, 322, 3268, 465, 12055, 465, 14098, 14, 289, 24908, 3179, 24, 204, 70, 24, 289, 24908, 17, 273, 289, 887, 3179, 204, 10888, 3726, 289, 551, 27, 2771, 322, 2177, 465, 8178, 465, 10691, 44443, 322, 27, 2771, 15338, 14, 289, 2753, 20, 3701, 289, 2019, 1164, 1916, 204, 204, 777, 1909, 19, 2026, 1910, 26574, 17, 848, 13978, 2019, 3179, 2771, 2958, 19, 1511, 3179, 2771, 887, 3179, 17, 1120, 444, 4331, 311, 2270, 273, 5999, 302, 1132, 309, 2771, 887, 309, 2771, 5436, 19, 26, 3179, 9390, 204, 204, 4290, 302, 26574, 289, 11010, 302, 275, 5999, 20, 11010, 302, 368, 18389, 289, 322, 10015, 2771, 8873, 2771, 5436, 19, 26, 4061, 322, 1511, 2771, 2958, 19, 1511, 2771, 887, 14, 289, 5737, 473, 204, 204, 777, 1845, 19, 2935, 353, 275, 3351, 302, 273, 4236, 18, 9645, 2223, 27139, 8857, 9390, 204, 204, 46, 19, 334, 1864, 302, 1163, 1034, 353, 34767, 309, 23, 19, 204, 14562, 289, 322, 8928, 302, 275, 1034, 2771, 18061, 14, 289, 322, 33326, 2771, 4236, 14, 309, 24, 204, 5526, 19, 334, 8035, 302, 275, 1034, 353, 2905, 309, 19, 204, 14562, 289, 5780, 468, 23, 77, 289, 322, 2898, 20, 28, 2771, 1168, 2771, 1168, 2771, 4236, 14, 309, 24, 289, 10516, 4023, 309, 24, 204, 204, 777, 2314, 19, 4208, 273, 800, 13737, 2254, 273, 6871, 9390, 204, 204, 46, 19, 1131, 3406, 435, 6587, 302, 275, 13737, 2254, 529, 5537, 19, 204, 5526, 19, 334, 3351, 302, 275, 2254, 353, 5737, 19, 204, 7374, 382, 329, 8392, 17, 275, 1019, 302, 317, 17, 308, 17, 373, 1741, 444, 322, 22, 17, 368, 17, 5737, 659, 322, 23, 17, 435, 17, 2247, 659, 322, 25, 17, 681, 17, 681, 789, 204, 16459, 17, 275, 2254, 1741, 444, 273, 6871, 521, 30921, 19, 204, 204, 777, 2132, 19, 2935, 353, 275, 5960, 302, 273, 27139, 8857, 9390, 204, 204, 46, 19, 24982, 302, 275, 1034, 353, 4315, 302, 1163, 1853, 928, 353, 4662, 6166, 19, 204, 77, 289, 4662, 309, 17, 468, 289, 2905, 204, 44530, 289, 5780, 468, 23, 77, 204, 5526, 19, 7806, 302, 275, 1034, 353, 887, 1845, 5223, 19, 6166, 329, 1163, 1853, 353, 4662, 6166, 19, 204, 44530, 289, 322, 3080, 468, 23, 2771, 373, 14, 289, 322, 27, 1845, 2771, 4662, 14, 309, 24, 204, 204, 777, 1794, 19, 2935, 353, 275, 1853, 302, 273, 9951, 13708, 9390, 204, 204, 46, 19, 334, 1864, 302, 496, 13708, 353, 1936, 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, 1864, 302, 273, 4392, 6738, 1277, 353, 9039, 3179, 19, 204, 5526, 19, 334, 1864, 302, 275, 1034, 302, 496, 13708, 353, 34767, 5223, 19, 3179, 19, 204, 5526, 4658, 275, 700, 302, 468, 17, 1101, 382, 1583, 508, 5190, 275, 15715, 302, 275, 4392, 19, 204, 204, 777, 1036, 19, 2935, 353, 275, 3351, 302, 273, 6871, 9390, 204, 204, 46, 19, 334, 1864, 302, 848, 3469, 302, 275, 6871, 353, 5737, 2415, 6166, 19, 204, 70, 23, 289, 5737, 17, 273, 289, 1132, 309, 204, 14562, 289, 322, 29, 2771, 1132, 2771, 1132, 14, 309, 24, 289, 12251, 309, 24, 204, 5526, 19, 334, 1277, 302, 1051, 1653, 302, 275, 6871, 353, 1132, 6166, 19, 204, 70, 289, 1132, 309, 204, 14562, 289, 322, 29, 2771, 1132, 2771, 1132, 14, 309, 24, 289, 12251, 309, 24, 0, 673, 1844, 353, 1465, 41066, 275, 4818, 388, 8390, 12133, 529, 21391, 7, 1025, 1043, 18, 1115, 16417, 3975, 19, 204, 204, 673, 1706, 7619, 353, 31, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 204, 204, 1834, 3210, 31, 3065, 2560, 5805, 496, 353, 1855, 273, 7781, 329, 273, 7636, 19, 204, 204, 3837, 353, 508, 6717, 448, 31, 1960, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 204, 204, 673, 5127, 353, 496, 275, 970, 39988, 529, 508, 41608, 6414, 19, 334, 1043, 1051, 353, 3597, 397, 329, 1698, 397, 1422, 353, 630, 3406, 1051, 7781, 496, 353, 273, 7636, 19, 334, 1350, 1051, 353, 3597, 397, 1422, 353, 273, 7781, 496, 353, 273, 7636, 17, 1101, 490, 353, 1425, 3597, 397, 1422, 353, 5805, 496, 353, 508, 273, 7781, 17, 2404, 13885, 39988, 529, 3597, 397, 1017, 35483, 35656, 353, 7463, 19, 204, 204, 3070, 1763, 17, 275, 4818, 388, 2768, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 7, 353, 3597, 348, 273, 6549, 17, 2404, 397, 275, 6549, 353, 273, 7781, 322, 9798, 490, 353, 508, 659, 1675, 490, 353, 273, 7636, 322, 9798, 490, 353, 789, 3355, 17, 808, 4818, 1583, 508, 17915, 1173, 275, 5268, 302, 388, 8390, 12133, 529, 21391, 528, 2404, 490, 353, 3597, 348, 5337, 496, 529, 508, 12133, 19, 204, 204, 837, 10420, 17, 275, 4818, 388, 2768, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 7, 353, 1698, 3597, 397, 1422, 353, 5805, 496, 353, 1855, 273, 7781, 329, 273, 7636, 17, 928, 17915, 4504, 275, 5268, 302, 388, 8390, 12133, 529, 21391, 2948, 716, 204, 1449, 17886, 275, 2712, 17, 2506, 275, 2631, 31, 204, 204, 15, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 353, 3597, 397, 329, 1698, 397, 1422, 353, 630, 3406, 1051, 7781, 496, 353, 273, 7636, 19, 204, 15, 1960, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 353, 3597, 397, 1422, 353, 273, 7781, 496, 353, 273, 7636, 17, 521, 397, 1422, 353, 5805, 496, 353, 508, 273, 7781, 19, 204, 204, 4356, 17, 275, 1706, 7619, 302, 388, 8390, 12133, 529, 21391, 7, 353, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 26886, 0, 658, 2026, 311, 888, 15608, 1408, 204, 204, 23865, 16772, 618, 444, 7249, 974, 273, 3277, 1216, 19, 334, 896, 353, 311, 1043, 1020, 1051, 2847, 302, 273, 800, 542, 329, 1675, 4122, 496, 700, 560, 275, 6736, 5050, 19, 204, 204, 1449, 1020, 1051, 2847, 302, 273, 542, 17, 3281, 275, 542, 560, 1607, 19, 1058, 1120, 5190, 872, 273, 4048, 700, 496, 4504, 1051, 2847, 19, 204, 204, 1380, 1165, 368, 31, 12819, 2753, 10, 302, 13205, 1036, 204, 204, 22, 19, 1752, 1051, 2847, 302, 13205, 1036, 560, 8631, 13205, 1036, 560, 1607, 31, 13205, 1036, 7410, 1607, 289, 13205, 21, 19, 1036, 204, 23, 19, 8838, 13205, 21, 19, 1036, 560, 2753, 311, 1020, 2753, 10, 302, 13205, 1036, 31, 13205, 21, 19, 1036, 2771, 2753, 289, 13205, 21, 19, 1036, 2771, 322, 26, 2771, 931, 14, 289, 13205, 21, 19, 1036, 2771, 931, 289, 13205, 23, 19, 473, 17, 1675, 13205, 23, 19, 473, 2771, 720, 289, 13205, 1003, 19, 473, 204, 204, 2551, 17, 2753, 10, 302, 13205, 1036, 353, 13205, 1003, 19, 473, 19, 204, 204, 1380, 1165, 435, 31, 12819, 15338, 10, 302, 13205, 2500, 204, 204, 22, 19, 1752, 1051, 2847, 302, 13205, 2500, 560, 8631, 13205, 2500, 560, 1607, 31, 13205, 2500, 7410, 1607, 289, 13205, 21, 19, 2500, 204, 23, 19, 8838, 13205, 21, 19, 2500, 560, 15338, 311, 1020, 15338, 10, 302, 13205, 2500, 31, 13205, 21, 19, 2500, 2771, 15338, 289, 5478, 204, 204, 1449, 4122, 13205, 21, 19, 2500, 560, 15338, 17, 490, 677, 9509, 311, 2280, 1873, 15338, 1025, 19486, 3857, 17, 1702, 448, 887, 329, 931, 322, 8500, 15338, 289, 887, 2771, 931, 465, 435, 659, 1101, 348, 12116, 329, 20040, 292, 4183, 17, 572, 6356, 17923, 440, 275, 3422, 6177, 19, 204, 204, 44477, 21, 19, 2500, 2771, 15338, 289, 13205, 2300, 19, 5303, 204, 204, 2551, 17, 15338, 10, 302, 13205, 2500, 353, 13205, 2300, 19, 5303, 19, 204, 204, 1380, 9592, 23069, 348, 13325, 15608, 1408, 204, 204, 22, 19, 930, 6431, 1051, 2847, 777, 302, 275, 800, 542, 560, 8631, 275, 542, 560, 1607, 19, 204, 23, 19, 930, 22496, 777, 275, 722, 560, 275, 5050, 872, 7188, 7595, 348, 311, 1020, 275, 6736, 5050, 302, 275, 2171, 542, 19, 204, 204, 1834, 1216, 5994, 348, 1169, 542, 329, 1169, 5050, 17, 4461, 490, 273, 48732, 5910, 348, 8397, 16772, 19, 0, 531, 4433, 68, 35192, 532, 42063, 204, 531, 26546, 532, 14983, 17, 40984, 204, 531, 26546, 19, 13722, 532, 38051, 17, 10217, 204, 204, 676, 48435, 31, 204, 264, 320, 204, 264, 2646, 273, 2875, 11667, 1184, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11667, 1184, 19, 204, 268, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 268, 7868, 322, 2107, 330, 2266, 275, 11667, 1184, 353, 7868, 19, 204, 264, 320, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 436, 589, 924, 889, 327, 17, 1276, 31, 421, 17, 2342, 31, 394, 17, 7868, 31, 1109, 289, 1078, 330, 204, 268, 320, 204, 268, 1865, 273, 48435, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11667, 1184, 19, 204, 305, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 305, 7868, 322, 2107, 330, 2266, 275, 11667, 1184, 353, 7868, 19, 1243, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 2749, 289, 2342, 204, 268, 370, 19, 15106, 289, 7868, 204, 204, 264, 436, 589, 6843, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 48435, 1014, 19, 204, 268, 320, 204, 268, 407, 283, 12, 34288, 4307, 13, 359, 2508, 327, 19, 359, 1522, 2342, 2508, 327, 19, 2749, 1522, 7868, 2508, 327, 19, 15106, 28011, 204, 204, 204, 676, 14050, 1218, 31, 204, 264, 320, 204, 264, 16318, 273, 458, 302, 11667, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 11667, 68, 1996, 322, 655, 330, 783, 302, 48435, 5644, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 14050, 1218, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 14387, 68, 1996, 289, 1306, 204, 268, 370, 19, 359, 68, 5951, 289, 368, 204, 204, 264, 436, 881, 68, 14387, 68, 1271, 13, 327, 17, 2342, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 11667, 1184, 311, 275, 458, 19, 204, 204, 268, 457, 31, 204, 305, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 48435, 1014, 329, 881, 490, 311, 275, 458, 204, 268, 717, 68, 14387, 68, 1271, 289, 48435, 13, 327, 19, 359, 68, 5951, 17, 2342, 14, 204, 268, 370, 19, 14387, 68, 1996, 19, 1223, 13, 1957, 68, 14387, 68, 1271, 14, 204, 268, 370, 19, 359, 68, 5951, 1412, 368, 204, 204, 264, 436, 636, 68, 14387, 68, 1996, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 475, 275, 458, 302, 11667, 2696, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 783, 302, 48435, 5644, 19, 204, 268, 320, 204, 268, 407, 370, 19, 14387, 68, 1996, 204, 204, 264, 436, 2434, 68, 14387, 68, 1271, 68, 402, 68, 15106, 13, 327, 17, 1276, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 26605, 273, 11667, 1184, 448, 7868, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 302, 275, 11667, 1184, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 11667, 1184, 440, 275, 800, 1276, 329, 2434, 490, 448, 7868, 204, 268, 348, 11667, 68, 1271, 292, 370, 19, 14387, 68, 1996, 31, 204, 305, 397, 11667, 68, 1271, 19, 359, 564, 1276, 31, 204, 485, 11667, 68, 1271, 19, 15106, 289, 959, 204, 485, 2280, 204, 204, 204, 676, 14050, 2954, 13, 29456, 330, 204, 264, 320, 204, 264, 332, 798, 348, 4141, 717, 11667, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 2342, 322, 22286, 330, 334, 537, 1242, 348, 275, 11667, 1184, 2342, 19, 204, 268, 7868, 322, 10030, 330, 334, 24435, 311, 2434, 275, 11667, 1184, 448, 7868, 19, 204, 264, 320, 204, 264, 2342, 31, 14983, 289, 14983, 13, 204, 268, 379, 34288, 9342, 491, 716, 268, 10519, 3603, 19066, 2144, 10217, 13, 885, 34, 22, 17, 846, 34, 2051, 10354, 716, 268, 2111, 68, 18023, 10703, 8520, 559, 388, 4421, 5805, 2152, 6669, 204, 264, 1179, 204, 264, 7868, 31, 40984, 289, 40984, 611, 32397, 534, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 1865, 273, 14050, 2954, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 14050, 1218, 1014, 204, 264, 11667, 68, 655, 289, 14050, 1218, 374, 204, 204, 264, 314, 666, 273, 14050, 2954, 1014, 204, 264, 798, 289, 14050, 2954, 374, 204, 204, 264, 314, 1255, 273, 717, 11667, 1184, 974, 275, 798, 424, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 11667, 68, 655, 19, 826, 68, 14387, 68, 1271, 13, 654, 19, 2749, 19, 481, 14, 204, 204, 264, 314, 1198, 275, 458, 302, 11667, 2696, 204, 264, 456, 13, 14387, 68, 655, 19, 505, 68, 14387, 68, 1996, 1447, 204, 204, 264, 314, 5979, 273, 11667, 1184, 448, 7868, 204, 264, 11667, 68, 655, 19, 2472, 68, 14387, 68, 1271, 68, 402, 68, 15106, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 2908, 458, 302, 11667, 2696, 204, 264, 456, 13, 14387, 68, 655, 19, 505, 68, 14387, 68, 1996, 1447, 204, 0, 10936, 26091, 25795, 15591, 204, 204, 673, 800, 1561, 869, 437, 3594, 26091, 25795, 302, 31, 204, 58, 289, 548, 21, 465, 382, 21, 15, 55, 23, 465, 500, 15, 55, 24, 204, 34, 548, 21, 465, 382, 21, 15, 55, 23, 204, 204, 1449, 3126, 5566, 361, 22, 11155, 2964, 26004, 311, 275, 3594, 26091, 25795, 17, 2249, 677, 7009, 275, 6783, 19, 716, 204, 5681, 7595, 630, 275, 31895, 332, 329, 565, 17, 1250, 1698, 3020, 275, 6264, 302, 548, 21, 9729, 275, 5790, 5229, 361, 23, 19, 334, 5790, 5229, 361, 22, 2560, 17, 1101, 490, 5409, 2964, 874, 437, 5800, 523, 275, 31895, 19, 1547, 2842, 15888, 275, 3836, 2712, 5229, 275, 790, 2139, 19, 716, 204, 1449, 949, 275, 3594, 26091, 25795, 17, 572, 618, 1066, 275, 29977, 3332, 275, 3546, 497, 565, 311, 332, 31, 204, 18, 58, 21, 338, 382, 21, 15, 55, 23, 465, 500, 15, 55, 24, 465, 548, 289, 500, 204, 58, 289, 548, 21, 465, 382, 21, 15, 55, 23, 204, 204, 2310, 618, 1425, 5620, 275, 6783, 560, 31, 204, 22, 19, 17292, 299, 685, 275, 1085, 440, 1236, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 790, 21418, 322, 10936, 6783, 14, 2090, 361, 24, 19, 204, 23, 19, 17292, 299, 685, 275, 361, 1019, 292, 3196, 440, 273, 790, 2139, 2090, 361, 22, 17, 2404, 490, 869, 1236, 2620, 523, 275, 6264, 5790, 523, 361, 23, 292, 496, 2875, 3546, 19, 204, 204, 3609, 8205, 754, 17, 572, 618, 3020, 496, 361, 22, 1583, 508, 14863, 311, 275, 3594, 26091, 25795, 19, 334, 6264, 5229, 361, 22, 1583, 1337, 17, 1101, 490, 1583, 508, 4767, 275, 6264, 9140, 5229, 31895, 332, 329, 565, 19, 0, 531, 1498, 532, 1535, 17, 783, 204, 204, 676, 4534, 31, 204, 264, 320, 204, 264, 2646, 273, 944, 292, 275, 510, 1561, 17, 928, 618, 444, 4260, 273, 510, 521, 273, 1445, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 353, 68, 553, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 273, 717, 4534, 440, 275, 800, 588, 329, 1187, 322, 553, 521, 1445, 789, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 944, 19, 204, 305, 353, 68, 553, 322, 2107, 330, 2266, 275, 944, 4504, 273, 510, 521, 273, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2387, 289, 3026, 397, 353, 68, 553, 902, 443, 204, 268, 370, 19, 7507, 289, 2087, 397, 508, 353, 68, 553, 902, 443, 204, 268, 370, 19, 360, 68, 553, 289, 353, 68, 553, 204, 204, 204, 676, 31346, 31, 204, 264, 320, 204, 264, 18712, 273, 510, 1561, 440, 4802, 2758, 2090, 4141, 7887, 17, 5209, 1666, 311, 1860, 17, 329, 4488, 1666, 497, 1860, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 273, 717, 31346, 440, 273, 1610, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 4534, 31598, 1078, 14, 204, 204, 264, 436, 26673, 13, 327, 17, 832, 31, 394, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 275, 4578, 302, 275, 1445, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 332, 458, 302, 510, 329, 1445, 1987, 292, 275, 1445, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 832, 1583, 508, 1337, 521, 353, 273, 510, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 546, 14, 204, 268, 397, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 273, 510, 431, 204, 268, 407, 2282, 13, 655, 13, 1241, 19, 7507, 19, 3261, 5887, 204, 204, 264, 436, 34245, 1217, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 1445, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 717, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 505, 68, 1241, 13, 546, 17, 353, 68, 553, 34, 1975, 14, 204, 204, 264, 436, 11108, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 717, 510, 19, 204, 268, 320, 204, 268, 370, 19, 505, 68, 1241, 13, 546, 17, 353, 68, 553, 34, 1021, 14, 204, 204, 264, 436, 881, 68, 2387, 68, 633, 68, 553, 13, 327, 17, 510, 68, 546, 31, 394, 17, 1666, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1255, 1666, 311, 275, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 305, 1666, 322, 325, 330, 334, 1666, 311, 881, 311, 275, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 510, 1583, 508, 1337, 521, 275, 832, 353, 273, 1445, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 553, 68, 546, 14, 204, 268, 397, 508, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 508, 273, 510, 431, 204, 268, 944, 19, 2387, 1412, 1666, 204, 204, 264, 436, 1151, 68, 2387, 68, 531, 68, 553, 13, 327, 17, 510, 68, 546, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 1606, 275, 1666, 302, 275, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1666, 302, 275, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 510, 1583, 508, 1337, 521, 275, 832, 353, 273, 1445, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 553, 68, 546, 14, 204, 268, 397, 508, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 508, 273, 510, 431, 204, 268, 407, 944, 19, 2387, 204, 204, 264, 436, 636, 68, 1241, 13, 327, 17, 832, 31, 394, 17, 353, 68, 553, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 763, 275, 4534, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 944, 19, 204, 305, 353, 68, 553, 322, 4437, 64, 2107, 1037, 2266, 275, 944, 1856, 444, 273, 510, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 4534, 31, 334, 944, 630, 275, 800, 832, 19, 204, 268, 320, 204, 268, 314, 3736, 275, 832, 1025, 4550, 204, 268, 832, 68, 7027, 289, 832, 19, 1590, 19255, 204, 204, 268, 314, 4055, 630, 275, 1610, 944, 204, 268, 790, 68, 1241, 289, 370, 19, 2125, 204, 204, 268, 314, 16165, 275, 832, 4550, 204, 268, 348, 4781, 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, 832, 68, 7027, 31, 204, 305, 397, 1245, 13, 8264, 14, 1323, 500, 31, 204, 485, 314, 828, 275, 4781, 1583, 508, 1337, 17, 838, 490, 204, 485, 397, 4781, 508, 292, 790, 68, 1241, 19, 7507, 31, 204, 895, 790, 68, 1241, 19, 7507, 64, 8264, 66, 289, 4534, 13, 8264, 17, 1078, 14, 204, 485, 314, 5360, 311, 275, 1682, 944, 204, 485, 790, 68, 1241, 289, 790, 68, 1241, 19, 7507, 64, 8264, 66, 204, 204, 268, 314, 828, 275, 944, 1187, 353, 1713, 17, 1395, 490, 204, 268, 397, 353, 68, 553, 353, 508, 443, 31, 204, 305, 790, 68, 1241, 19, 360, 68, 553, 289, 353, 68, 553, 204, 305, 314, 828, 275, 944, 353, 273, 510, 17, 3142, 1163, 2804, 204, 305, 397, 353, 68, 553, 31, 204, 485, 790, 68, 1241, 19, 7507, 289, 443, 204, 485, 790, 68, 1241, 19, 2387, 289, 3026, 204, 305, 314, 828, 275, 944, 353, 273, 1445, 17, 3142, 1163, 1666, 204, 305, 902, 31, 204, 485, 790, 68, 1241, 19, 2387, 289, 443, 204, 204, 268, 407, 790, 68, 1241, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 17382, 289, 31346, 374, 204, 264, 17382, 19, 13986, 499, 1217, 22, 431, 204, 264, 17382, 19, 13986, 499, 1217, 22, 20, 1217, 23, 431, 204, 264, 17382, 19, 26270, 499, 553, 22, 431, 204, 264, 17382, 19, 826, 68, 2387, 68, 633, 68, 553, 499, 553, 22, 528, 388, 5975, 17, 5179, 5397, 204, 264, 456, 13, 6340, 19, 976, 68, 2387, 68, 531, 68, 553, 499, 553, 22, 3687, 226, 314, 3215, 31, 25639, 17, 5179, 6, 204, 264, 456, 13, 6340, 19, 3391, 6343, 3687, 226, 314, 3215, 31, 2470, 1217, 22, 491, 379, 553, 22, 839, 204, 264, 456, 13, 6340, 19, 3391, 6343, 1217, 22, 3687, 226, 314, 3215, 31, 2470, 1217, 23, 839, 204, 0, 673, 1917, 1576, 6644, 311, 444, 273, 628, 11595, 322, 22910, 11490, 348, 18190, 14, 3467, 7784, 311, 1900, 329, 2616, 11192, 5537, 302, 1552, 1233, 19, 332, 11192, 2415, 353, 273, 2415, 2333, 9492, 440, 7656, 2140, 1892, 292, 275, 933, 497, 368, 311, 300, 67, 23, 1702, 496, 848, 2092, 3192, 273, 1792, 1534, 329, 275, 1066, 302, 275, 1892, 292, 848, 1237, 17, 1837, 17, 329, 8166, 353, 1936, 19, 204, 204, 5399, 677, 273, 10341, 11414, 302, 275, 1576, 31, 204, 204, 22, 19, 930, 6238, 1613, 1416, 334, 3467, 7036, 560, 20148, 4569, 6946, 329, 2558, 19, 1547, 3416, 719, 6946, 1758, 70, 22, 7147, 1758, 70, 7147, 1758, 71, 7147, 1758, 71, 22, 7147, 329, 1758, 72, 69, 311, 5148, 275, 886, 368, 1924, 13548, 17, 928, 1120, 444, 1376, 311, 1900, 275, 11192, 2415, 19, 204, 204, 23, 19, 930, 8952, 13818, 1416, 334, 3467, 1675, 21311, 273, 3546, 496, 6944, 8697, 31950, 3070, 781, 2051, 289, 435, 2416, 435, 69, 789, 34691, 808, 3546, 17, 490, 8321, 311, 1900, 273, 11192, 2415, 560, 33746, 886, 311, 275, 1348, 1758, 70, 69, 1609, 523, 4153, 4042, 19, 204, 204, 24, 19, 930, 39, 1115, 14373, 344, 1416, 334, 3467, 17469, 275, 22574, 302, 275, 11192, 2415, 560, 9101, 348, 2755, 886, 292, 275, 1348, 1758, 71, 22, 69, 329, 33746, 1475, 311, 275, 1348, 1758, 70, 6557, 1547, 7036, 497, 275, 13303, 329, 5994, 1163, 2501, 292, 3998, 19, 204, 204, 25, 19, 930, 6143, 28817, 1416, 13128, 273, 3836, 1988, 353, 1193, 17, 275, 3467, 5377, 397, 275, 1988, 3192, 1169, 13341, 886, 19, 828, 490, 1583, 17, 275, 1988, 353, 19884, 19, 204, 204, 26, 19, 930, 34373, 17157, 1416, 828, 273, 1097, 1988, 353, 1193, 17, 275, 3467, 5538, 275, 1988, 311, 275, 20109, 19, 1547, 618, 456, 4260, 275, 4285, 886, 521, 275, 5641, 11192, 2415, 19, 204, 204, 27, 19, 930, 57, 12524, 1416, 334, 3467, 19722, 3234, 302, 275, 690, 490, 5178, 311, 1523, 329, 275, 542, 302, 5169, 1193, 19, 1547, 12784, 808, 1483, 292, 273, 943, 2871, 630, 275, 1136, 19, 204, 204, 673, 1576, 353, 9395, 3700, 329, 6644, 311, 444, 18972, 348, 5956, 19, 3355, 17, 2900, 1182, 2085, 521, 273, 2824, 2717, 1465, 275, 1576, 17, 490, 677, 5362, 311, 1308, 5395, 4249, 521, 11414, 19, 204, 204, 5399, 677, 273, 10341, 2585, 302, 275, 1576, 496, 19236, 523, 9471, 273, 11192, 2415, 302, 1552, 1233, 31, 204, 3691, 91, 71, 204, 3488, 2069, 25266, 16109, 374, 204, 264, 412, 449, 273, 13, 22, 2416, 1233, 17, 368, 2416, 1233, 14, 3242, 11143, 204, 264, 412, 449, 296, 17, 781, 17, 771, 3242, 11143, 204, 615, 264, 771, 289, 368, 204, 264, 1765, 296, 289, 368, 2416, 1233, 204, 268, 1765, 781, 289, 368, 2416, 1233, 204, 305, 273, 13, 78, 17, 781, 14, 289, 771, 204, 305, 771, 289, 771, 465, 368, 204, 268, 17801, 781, 204, 264, 17801, 296, 204, 615, 264, 379, 1198, 275, 11192, 2415, 204, 264, 1765, 296, 289, 368, 2416, 1233, 204, 268, 1765, 781, 289, 368, 2416, 1233, 204, 305, 41476, 13, 78, 17, 781, 789, 4545, 289, 273, 13, 78, 17, 781, 14, 204, 268, 17801, 781, 204, 264, 17801, 296, 204, 10981, 3685, 204, 3691, 204, 1834, 1576, 12015, 273, 3277, 1233, 93, 30, 2333, 9492, 440, 886, 497, 368, 311, 13548, 17, 1101, 490, 1583, 508, 21672, 496, 275, 1066, 302, 848, 1237, 17, 1837, 17, 329, 8166, 1120, 444, 1936, 19, 2416, 1900, 273, 3597, 11192, 2415, 17, 872, 1784, 1519, 311, 3288, 273, 1182, 3700, 3372, 496, 15261, 275, 8598, 529, 1936, 19, 0, 531, 8632, 532, 8204, 204, 531, 1498, 532, 1535, 17, 783, 204, 204, 531, 15023, 4552, 19, 772, 19, 4608, 19, 1935, 532, 9533, 2628, 204, 204, 37, 6611, 204, 676, 9730, 4729, 17641, 31, 204, 264, 320, 204, 264, 1594, 676, 311, 1640, 3583, 348, 763, 17871, 37977, 958, 19, 204, 615, 264, 1532, 31, 204, 268, 3886, 68, 1915, 322, 325, 330, 3970, 348, 3886, 4192, 292, 275, 958, 19, 204, 264, 320, 204, 264, 3886, 68, 1915, 31, 394, 289, 379, 17871, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31837, 12, 204, 204, 676, 763, 17871, 31837, 2628, 13, 16489, 2628, 330, 204, 264, 320, 204, 264, 4899, 850, 348, 763, 17871, 37977, 1893, 19, 204, 615, 264, 1532, 31, 204, 268, 881, 68, 3261, 322, 1218, 64, 325, 1037, 6119, 3583, 311, 444, 4327, 311, 275, 958, 19, 204, 268, 860, 68, 1618, 322, 1218, 64, 4437, 64, 932, 3795, 3685, 18, 1618, 348, 275, 958, 19, 204, 264, 320, 204, 264, 881, 68, 3261, 31, 783, 64, 325, 66, 289, 551, 17871, 4729, 17641, 1528, 7620, 68, 1915, 66, 204, 264, 314, 4496, 1535, 311, 8956, 496, 443, 353, 273, 1097, 700, 204, 264, 860, 68, 1618, 31, 783, 64, 4437, 64, 932, 2629, 289, 551, 3170, 66, 204, 204, 8, 1165, 1265, 31, 204, 461, 636, 68, 7620, 68, 1915, 68, 1935, 374, 393, 763, 17871, 31837, 2628, 31, 204, 264, 320, 204, 264, 475, 273, 1672, 763, 17871, 31837, 2628, 726, 19, 204, 615, 264, 475, 31, 204, 268, 763, 17871, 31837, 2628, 31, 332, 1672, 958, 726, 19, 204, 264, 320, 204, 264, 958, 289, 763, 17871, 31837, 2628, 374, 204, 264, 958, 19, 826, 68, 3261, 289, 551, 17871, 4729, 17641, 1528, 7620, 68, 1915, 66, 204, 264, 407, 958, 204, 204, 8, 1295, 275, 741, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 958, 289, 636, 68, 7620, 68, 1915, 68, 1935, 374, 204, 264, 456, 13, 1935, 19, 826, 68, 3261, 14, 204, 0, 647, 304, 204, 204, 676, 7841, 1613, 53, 28596, 31, 204, 264, 320, 204, 264, 332, 850, 1174, 4217, 2231, 3758, 348, 41350, 19, 204, 204, 264, 1058, 850, 3629, 3758, 311, 2216, 10494, 2724, 17, 13136, 5453, 17, 329, 6943, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 7841, 1613, 53, 28596, 850, 560, 46441, 4217, 2231, 3758, 19, 204, 268, 320, 204, 268, 314, 21753, 311, 2216, 10494, 2724, 204, 268, 370, 19, 28868, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 12, 13607, 89, 65, 91, 65, 75, 65, 87, 2437, 24580, 204, 268, 320, 204, 268, 43532, 1051, 521, 1182, 10494, 2724, 19, 204, 268, 320, 204, 204, 268, 314, 21753, 311, 2216, 13136, 5453, 204, 268, 370, 19, 20409, 68, 2196, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 17081, 8, 64, 688, 89, 15862, 20409, 64, 688, 89, 15862, 3603, 688, 89, 66, 10970, 36, 53, 33, 20409, 2441, 35, 14415, 15, 35624, 204, 268, 320, 204, 268, 43532, 437, 13136, 1354, 292, 275, 1883, 10416, 13136, 289, 962, 2441, 35, 2625, 204, 268, 320, 204, 204, 268, 314, 21753, 311, 2216, 6943, 204, 268, 370, 19, 6324, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 17081, 8, 9371, 35624, 204, 268, 320, 204, 268, 43532, 273, 3777, 4145, 440, 10416, 2625, 204, 268, 320, 204, 204, 264, 436, 2216, 68, 28868, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 10494, 2724, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 10494, 2724, 529, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 10494, 2724, 204, 268, 407, 370, 19, 28868, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 2216, 68, 20409, 68, 2196, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 437, 13136, 1354, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 437, 13136, 1354, 353, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 437, 13136, 1354, 204, 268, 407, 370, 19, 20409, 68, 2196, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 2216, 68, 6324, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 273, 3777, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 273, 3777, 353, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 273, 3777, 204, 268, 407, 370, 19, 6324, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 7841, 1613, 53, 28596, 850, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1014, 302, 275, 7841, 1613, 53, 28596, 850, 204, 268, 3758, 289, 7841, 1613, 53, 28596, 374, 204, 204, 268, 314, 1295, 275, 3758, 204, 268, 456, 499, 46655, 10494, 2724, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 28868, 499, 262, 4091, 204, 204, 268, 456, 3273, 83, 46655, 13136, 1354, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 20409, 68, 2196, 20997, 13136, 289, 2104, 3687, 204, 204, 268, 456, 3273, 83, 46655, 3777, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 6324, 20997, 1058, 353, 273, 3777, 3687, 204, 264, 827, 304, 19, 718, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 46441, 4217, 2231, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 11609, 204, 647, 2164, 204, 647, 1400, 204, 647, 782, 204, 531, 11609, 19, 1549, 532, 5453, 204, 204, 676, 32732, 13, 6792, 19, 28886, 330, 204, 264, 320, 204, 264, 332, 22088, 348, 9819, 5453, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 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, 1363, 31, 5453, 19, 8759, 330, 204, 268, 320, 204, 268, 977, 275, 32732, 22088, 19, 204, 204, 268, 457, 31, 204, 305, 1363, 322, 6792, 19, 8759, 330, 334, 1363, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 2511, 289, 1363, 204, 268, 370, 19, 935, 68, 24976, 289, 463, 204, 305, 388, 88, 4826, 559, 388, 3189, 1963, 656, 80, 865, 19, 8597, 20, 2005, 20, 91, 23, 20, 3371, 20, 88, 4826, 528, 204, 305, 388, 77, 811, 559, 388, 3189, 1963, 656, 80, 865, 19, 8597, 20, 2005, 20, 91, 23, 20, 3371, 20, 77, 811, 7, 204, 268, 1211, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 88, 4826, 528, 1340, 1022, 21983, 273, 297, 4826, 752, 431, 204, 264, 4470, 436, 297, 4826, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 575, 31, 11609, 19, 2491, 289, 443, 330, 204, 268, 320, 204, 268, 2878, 273, 297, 4826, 752, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 575, 322, 18591, 19, 2491, 17, 1448, 330, 334, 575, 311, 297, 4826, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 4177, 370, 19, 3345, 68, 935, 13, 11721, 17, 388, 88, 4826, 528, 283, 1954, 11721, 19, 4020, 19, 23666, 98, 8533, 3296, 463, 816, 19, 23666, 23214, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 77, 811, 528, 1340, 1022, 21983, 273, 373, 811, 752, 431, 204, 264, 4470, 436, 373, 811, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 575, 31, 11609, 19, 2491, 289, 443, 330, 204, 268, 320, 204, 268, 2878, 273, 373, 811, 752, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 575, 322, 18591, 19, 2491, 17, 1448, 330, 334, 575, 311, 373, 811, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 4177, 370, 19, 3345, 68, 935, 13, 11721, 17, 388, 77, 811, 528, 283, 1954, 11721, 19, 4020, 19, 23666, 98, 373, 811, 2669, 463, 816, 19, 23666, 23214, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 47996, 295, 528, 1340, 1022, 21863, 273, 1400, 41359, 295, 1576, 431, 204, 264, 4470, 436, 14499, 295, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 204, 268, 2069, 273, 1400, 41359, 295, 1576, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 1400, 41359, 295, 1576, 204, 268, 1576, 289, 13080, 1541, 13, 2017, 19, 10481, 13, 1031, 19, 9601, 68, 10576, 465, 782, 19, 5931, 17, 724, 34, 1845, 602, 204, 268, 4177, 7773, 19, 3345, 13, 75, 7, 3189, 1963, 18591, 19, 35961, 4235, 1181, 743, 204, 204, 264, 4470, 436, 2566, 68, 935, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 752, 68, 932, 31, 394, 17, 2342, 31, 394, 330, 204, 268, 320, 204, 268, 2878, 437, 752, 497, 275, 800, 4584, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 752, 68, 932, 322, 325, 330, 334, 1187, 302, 752, 311, 2566, 322, 74, 19, 76, 19, 388, 88, 4826, 528, 388, 77, 811, 5561, 204, 305, 2342, 322, 325, 330, 334, 2342, 302, 275, 752, 19, 204, 268, 320, 204, 268, 314, 763, 275, 752, 4584, 204, 268, 4584, 289, 370, 19, 935, 68, 24976, 19, 505, 13, 935, 68, 932, 14, 204, 268, 397, 4584, 353, 443, 31, 204, 305, 4177, 7773, 19, 3345, 499, 1962, 752, 1187, 431, 204, 305, 407, 204, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 752, 4584, 204, 305, 958, 289, 2164, 19, 505, 13, 8155, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 1875, 68, 481, 289, 958, 19, 1775, 374, 204, 305, 314, 666, 437, 3876, 440, 275, 752, 204, 305, 3876, 289, 11609, 19, 14009, 13, 2749, 34, 2749, 17, 1848, 34, 21, 93, 3145, 14, 204, 305, 3876, 19, 574, 68, 935, 13, 805, 34, 1775, 68, 481, 1166, 805, 3808, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 4471, 14, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 1426, 1169, 824, 2805, 204, 305, 4177, 7773, 19, 3345, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 461, 3219, 13, 2511, 31, 5453, 19, 8759, 330, 204, 264, 320, 204, 264, 1359, 719, 275, 32732, 22088, 19, 204, 204, 264, 457, 31, 204, 268, 1363, 322, 6792, 19, 8759, 330, 334, 1363, 1014, 19, 204, 264, 320, 204, 264, 1363, 19, 826, 68, 25056, 13, 43, 350, 13, 2511, 602, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 531, 1907, 19, 2918, 19, 492, 532, 26961, 204, 204, 676, 5310, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1351, 440, 1163, 588, 17, 2342, 17, 2297, 17, 329, 752, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1351, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 1351, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 1351, 19, 204, 268, 752, 322, 325, 330, 334, 752, 302, 275, 1351, 19, 204, 268, 7286, 322, 325, 330, 332, 2220, 7286, 348, 275, 1351, 19, 204, 264, 320, 204, 204, 264, 588, 289, 1094, 19, 2580, 13, 204, 268, 2874, 68, 417, 833, 6902, 4014, 491, 204, 268, 846, 68, 1205, 34, 5758, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 204, 264, 1179, 204, 264, 2342, 289, 1094, 19, 7320, 13, 204, 268, 2874, 68, 417, 833, 6902, 12616, 491, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 846, 68, 1205, 34, 5758, 204, 264, 1179, 204, 264, 2297, 289, 1094, 19, 14192, 13, 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, 2874, 68, 417, 833, 6902, 10864, 491, 204, 268, 846, 68, 5931, 34, 1003, 17, 204, 268, 4048, 68, 10474, 34, 23, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 204, 264, 1179, 204, 264, 752, 289, 1094, 19, 12043, 13, 204, 268, 2874, 68, 417, 833, 6902, 3207, 491, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 5991, 68, 633, 833, 7297, 20, 2936, 12, 204, 264, 1179, 204, 264, 7286, 289, 1094, 19, 29752, 13, 204, 268, 2874, 68, 417, 833, 6902, 15082, 811, 491, 204, 268, 846, 68, 1205, 34, 5758, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 2220, 34, 1021, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1351, 19, 204, 268, 320, 204, 268, 407, 370, 19, 417, 521, 379, 58, 433, 23555, 5310, 12, 204, 204, 264, 436, 2106, 13, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 9716, 275, 1351, 1014, 311, 275, 1104, 19, 204, 204, 268, 1058, 1216, 12015, 273, 2220, 7286, 348, 275, 1351, 397, 490, 5409, 2964, 1337, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 397, 490, 5409, 2964, 1337, 204, 268, 397, 508, 370, 19, 8420, 31, 204, 305, 370, 19, 8420, 289, 26961, 13, 327, 19, 417, 14, 204, 204, 268, 314, 3866, 275, 2297, 204, 268, 397, 370, 19, 2895, 329, 370, 19, 2895, 962, 500, 31, 204, 305, 980, 6630, 499, 12998, 2950, 444, 2917, 431, 204, 204, 268, 314, 4889, 275, 2260, 677, 2106, 1216, 204, 268, 2234, 1528, 2360, 4934, 1038, 17, 930, 2251, 14, 204, 204, 264, 436, 3106, 13, 327, 330, 204, 268, 320, 204, 268, 25027, 329, 16340, 275, 1351, 1014, 2518, 7770, 19, 204, 268, 320, 204, 268, 314, 3866, 275, 2297, 204, 268, 397, 370, 19, 2895, 329, 370, 19, 2895, 962, 500, 31, 204, 305, 980, 6630, 499, 12998, 2950, 444, 2917, 431, 204, 204, 268, 314, 3866, 275, 752, 204, 268, 397, 370, 19, 935, 329, 508, 370, 19, 935, 19, 417, 19, 9641, 13, 7542, 5684, 491, 3759, 17997, 491, 3759, 4955, 491, 3759, 18602, 491, 3759, 31160, 491, 3759, 37343, 25843, 204, 305, 980, 6630, 499, 1962, 752, 1883, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 1907, 19, 1234, 19, 13906, 532, 2428, 68, 2196, 204, 264, 497, 1907, 19, 1234, 19, 13906, 19, 772, 532, 38322, 204, 204, 264, 850, 8476, 13, 38568, 330, 204, 268, 436, 2906, 13, 327, 17, 540, 1038, 17, 930, 4018, 330, 204, 305, 314, 666, 273, 717, 1351, 204, 305, 1351, 289, 5310, 13, 204, 485, 588, 833, 2346, 5310, 491, 204, 485, 2342, 833, 1834, 353, 273, 683, 1351, 491, 204, 485, 2297, 34, 1003, 19, 2418, 17, 204, 485, 752, 833, 7297, 20, 2936, 20, 804, 19, 5684, 12, 204, 305, 1179, 204, 305, 1351, 19, 2360, 374, 204, 204, 305, 314, 1198, 275, 1351, 677, 3695, 204, 305, 456, 13, 2572, 19, 417, 14, 204, 305, 456, 13, 2572, 19, 2749, 14, 204, 305, 456, 13, 2572, 19, 2895, 14, 204, 305, 456, 13, 2572, 19, 935, 14, 204, 305, 456, 13, 2572, 19, 8420, 14, 204, 0, 647, 1437, 204, 531, 1437, 532, 7668, 204, 531, 1437, 532, 2839, 204, 204, 8, 4390, 2363, 43254, 3263, 204, 531, 300, 20657, 68, 1011, 3335, 532, 322, 204, 264, 43254, 68, 11684, 17, 204, 264, 43254, 68, 6995, 17, 204, 264, 43254, 68, 6938, 204, 14, 204, 204, 461, 838, 68, 13747, 68, 11783, 68, 4165, 13, 768, 68, 2230, 31, 421, 289, 1199, 17, 4213, 68, 2230, 31, 421, 289, 4236, 17, 919, 68, 2230, 31, 421, 289, 368, 14, 393, 2839, 19, 3732, 31, 204, 264, 320, 204, 264, 2605, 273, 11482, 5829, 2364, 440, 970, 4213, 4131, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 2230, 322, 339, 330, 334, 537, 5117, 302, 275, 2364, 19, 1243, 311, 1199, 19, 204, 268, 4213, 68, 2230, 322, 339, 330, 334, 5117, 302, 275, 4213, 4131, 19, 1243, 311, 4236, 19, 204, 268, 919, 68, 2230, 322, 339, 330, 334, 919, 5117, 302, 275, 2364, 19, 1243, 311, 368, 19, 204, 204, 264, 475, 31, 204, 268, 2839, 19, 3732, 31, 334, 1966, 5829, 2364, 19, 204, 264, 320, 204, 264, 314, 666, 273, 11482, 5829, 2364, 440, 970, 4213, 4131, 204, 264, 407, 2839, 19, 8790, 13, 204, 268, 2839, 19, 6446, 13, 768, 68, 2230, 17, 4213, 68, 2230, 659, 204, 268, 2839, 19, 11399, 2144, 204, 268, 2839, 19, 6446, 13, 5423, 68, 2230, 17, 4213, 68, 2230, 659, 204, 268, 2839, 19, 11399, 2144, 204, 268, 2839, 19, 6446, 13, 5423, 68, 2230, 17, 919, 68, 2230, 17, 6458, 34, 1975, 14, 204, 264, 1179, 204, 204, 461, 683, 68, 38550, 13, 3075, 31, 394, 17, 771, 68, 5749, 31, 421, 289, 1168, 17, 2068, 68, 835, 31, 421, 289, 14811, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 43254, 302, 273, 11482, 5829, 2364, 523, 275, 1713, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2322, 322, 325, 330, 334, 2322, 311, 683, 523, 322, 6995, 521, 29218, 789, 204, 268, 771, 68, 5749, 322, 339, 330, 334, 542, 302, 6195, 311, 683, 19, 1243, 311, 1168, 19, 204, 268, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 302, 275, 537, 424, 19, 1243, 311, 14811, 19, 204, 264, 320, 204, 264, 314, 1295, 275, 43254, 302, 275, 5829, 2364, 523, 275, 1713, 2322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5749, 330, 204, 268, 570, 289, 838, 68, 13747, 68, 11783, 68, 4165, 374, 204, 268, 348, 906, 292, 933, 13, 920, 68, 5749, 330, 204, 305, 314, 2069, 1400, 537, 424, 204, 305, 537, 68, 481, 289, 1437, 19, 2329, 13, 2884, 68, 835, 17, 1199, 14, 204, 3123, 305, 314, 888, 275, 1812, 43254, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1812, 68, 38550, 289, 43254, 68, 11684, 13, 809, 17, 537, 68, 481, 14, 204, 3123, 305, 314, 5360, 275, 570, 329, 537, 424, 311, 275, 1713, 2322, 204, 305, 397, 2322, 564, 379, 6938, 597, 204, 485, 570, 289, 570, 19, 6938, 374, 204, 485, 537, 68, 481, 289, 537, 68, 481, 19, 6938, 374, 204, 485, 314, 888, 275, 3908, 43254, 523, 275, 29218, 2322, 204, 485, 3908, 68, 38550, 289, 43254, 68, 6938, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 485, 314, 5360, 275, 570, 329, 537, 424, 1818, 311, 275, 17577, 204, 485, 570, 289, 570, 19, 6995, 374, 204, 485, 537, 68, 481, 289, 537, 68, 481, 19, 6995, 374, 204, 305, 902, 31, 204, 485, 314, 888, 275, 3908, 43254, 523, 275, 17577, 204, 485, 3908, 68, 38550, 289, 43254, 68, 6995, 13, 809, 17, 537, 68, 481, 14, 204, 3123, 305, 314, 778, 397, 275, 1812, 329, 3908, 37290, 71, 4825, 529, 3671, 204, 305, 810, 31, 204, 485, 2136, 1437, 19, 23674, 13, 5477, 68, 38550, 17, 3908, 68, 38550, 14, 204, 305, 827, 15689, 31, 204, 485, 314, 3025, 275, 570, 329, 537, 424, 348, 17114, 204, 485, 1437, 19, 31238, 19, 2360, 13, 809, 17, 388, 12231, 68, 4165, 19, 2957, 431, 204, 485, 1437, 19, 2360, 13, 768, 68, 481, 17, 388, 12231, 68, 768, 19, 2957, 431, 204, 485, 980, 15689, 13, 75, 7, 47, 11419, 14488, 21925, 523, 2322, 463, 3075, 743, 204, 204, 461, 5344, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1998, 39653, 275, 43254, 21925, 560, 4644, 275, 6467, 570, 329, 537, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 6467, 570, 329, 537, 424, 204, 264, 570, 289, 1437, 19, 31238, 19, 986, 499, 12231, 68, 4165, 19, 2957, 431, 204, 264, 537, 68, 481, 289, 1437, 19, 986, 499, 12231, 68, 768, 19, 2957, 431, 204, 615, 264, 314, 5360, 275, 570, 329, 537, 424, 311, 275, 29218, 2322, 204, 264, 570, 289, 570, 19, 6938, 374, 204, 264, 537, 68, 481, 289, 537, 68, 481, 19, 6938, 374, 204, 615, 264, 314, 888, 275, 1812, 43254, 204, 264, 1812, 68, 38550, 289, 43254, 68, 11684, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 615, 264, 314, 888, 275, 3908, 43254, 523, 275, 29218, 2322, 204, 264, 3908, 68, 38550, 289, 43254, 68, 6938, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 615, 264, 314, 1198, 275, 6108, 1283, 275, 1812, 329, 3908, 37290, 71, 4825, 204, 264, 348, 296, 292, 933, 13, 5477, 68, 38550, 19, 835, 13, 21, 4019, 204, 268, 397, 508, 1437, 19, 23674, 13, 5477, 68, 38550, 64, 78, 648, 3908, 68, 38550, 64, 78, 1037, 204, 305, 348, 781, 292, 933, 13, 5477, 68, 38550, 19, 835, 13, 22, 4019, 204, 485, 397, 508, 1437, 19, 23674, 13, 5477, 68, 38550, 64, 78, 17, 781, 648, 3908, 68, 38550, 64, 78, 17, 781, 1037, 204, 895, 456, 13, 75, 7, 24887, 630, 1112, 8267, 78, 1522, 463, 79, 23474, 431, 204, 895, 456, 13, 75, 7, 11741, 31, 463, 5477, 68, 38550, 64, 78, 17, 781, 1664, 11380, 8050, 204, 895, 456, 13, 75, 7, 23693, 31, 463, 10609, 68, 38550, 64, 78, 17, 781, 1664, 11380, 8050, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 43254, 523, 275, 17577, 329, 29218, 7204, 204, 264, 683, 68, 38550, 611, 6995, 534, 204, 264, 683, 68, 38550, 611, 6938, 534, 204, 264, 314, 5344, 374, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4277, 19, 1486, 28231, 532, 31699, 8298, 204, 204, 461, 5327, 68, 1657, 68, 3282, 374, 393, 443, 31, 204, 264, 320, 204, 264, 16927, 275, 1807, 2557, 348, 4037, 12996, 19, 204, 204, 264, 1058, 741, 3416, 275, 4514, 329, 15185, 13576, 2557, 348, 275, 1807, 19, 204, 264, 320, 204, 264, 314, 1359, 1807, 10608, 348, 4037, 12996, 204, 264, 1513, 19, 33674, 736, 6823, 19, 88, 640, 18, 590, 403, 839, 289, 2470, 62, 70, 6031, 78, 852, 2880, 402, 8501, 14618, 839, 204, 264, 1513, 19, 33674, 736, 13352, 19, 20466, 68, 20977, 839, 289, 1078, 204, 204, 461, 5695, 68, 7230, 3021, 13, 204, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 300, 68, 7027, 31, 421, 289, 435, 17, 716, 264, 1400, 68, 1512, 31, 421, 289, 500, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 25682, 482, 275, 23601, 302, 275, 800, 9269, 974, 265, 18, 56, 8298, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 5695, 19, 204, 264, 338, 300, 68, 7027, 322, 339, 330, 334, 542, 302, 4550, 311, 5695, 311, 19, 1243, 311, 435, 19, 204, 264, 338, 1400, 68, 1512, 322, 339, 330, 334, 1400, 1259, 348, 17774, 19, 1243, 311, 500, 19, 204, 204, 264, 475, 31, 204, 264, 338, 645, 19, 766, 31, 334, 8016, 9269, 19, 204, 264, 320, 204, 264, 314, 666, 273, 31699, 8298, 1014, 440, 275, 800, 2072, 204, 264, 14018, 656, 289, 31699, 8298, 13, 83, 68, 7027, 34, 83, 68, 7027, 17, 1400, 68, 1512, 34, 2017, 68, 1512, 14, 204, 264, 314, 10083, 329, 3204, 275, 9269, 204, 264, 407, 14018, 656, 19, 2714, 68, 4072, 13, 10304, 14, 204, 204, 461, 1807, 68, 10304, 13, 204, 264, 1769, 31, 458, 64, 325, 648, 716, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 1724, 31, 394, 289, 388, 14009, 5507, 7, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 800, 9269, 440, 1017, 3310, 1769, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 1769, 322, 655, 64, 325, 1037, 334, 1769, 348, 275, 9269, 19, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 1807, 19, 204, 264, 338, 1724, 322, 325, 330, 334, 1724, 302, 275, 1807, 19, 1243, 311, 388, 14009, 5507, 2948, 204, 264, 320, 204, 264, 314, 666, 273, 11250, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1807, 302, 275, 9269, 204, 264, 1513, 19, 10129, 13, 10304, 3460, 500, 648, 9269, 3460, 368, 694, 204, 264, 314, 45902, 848, 917, 440, 1163, 1800, 204, 264, 348, 1800, 17, 610, 17, 469, 292, 4337, 13, 2185, 17, 9269, 3460, 500, 648, 9269, 3460, 368, 1037, 204, 268, 1513, 19, 29924, 13, 1676, 17, 11412, 3644, 93, 17, 469, 659, 11412, 492, 3644, 21, 17, 500, 659, 1068, 8190, 833, 5911, 1728, 534, 204, 264, 314, 1359, 275, 1724, 302, 275, 1807, 204, 264, 1513, 19, 1778, 13, 1778, 14, 204, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 2248, 68, 3450, 656, 13, 204, 264, 1769, 31, 458, 64, 325, 648, 716, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 300, 68, 7027, 31, 421, 289, 435, 17, 716, 264, 1400, 68, 1512, 31, 421, 289, 500, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 25682, 482, 275, 23601, 302, 275, 800, 9269, 974, 265, 18, 56, 8298, 329, 11830, 1475, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 1769, 322, 655, 64, 325, 1037, 334, 1769, 348, 275, 9269, 19, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 5695, 329, 1807, 19, 204, 264, 338, 300, 68, 7027, 322, 339, 330, 334, 542, 302, 4550, 311, 5695, 311, 19, 1243, 311, 435, 19, 204, 264, 338, 1400, 68, 1512, 322, 339, 330, 334, 1400, 1259, 348, 17774, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 20310, 275, 23601, 302, 275, 9269, 204, 264, 8016, 68, 10304, 289, 5695, 68, 7230, 3021, 13, 10304, 17, 300, 68, 7027, 17, 1400, 68, 1512, 14, 204, 264, 314, 3045, 275, 8016, 9269, 204, 264, 1807, 68, 10304, 13, 2185, 17, 8016, 68, 10304, 17, 1724, 1022, 89, 18, 56, 8298, 16875, 5507, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 2248, 68, 3450, 656, 741, 19, 204, 264, 320, 204, 264, 314, 6153, 275, 1807, 2557, 204, 264, 5327, 68, 1657, 68, 3282, 374, 204, 264, 314, 1165, 1265, 204, 264, 1769, 289, 3134, 1676, 22, 528, 388, 1676, 23, 528, 388, 1676, 24, 1339, 204, 264, 9269, 289, 645, 19, 2017, 19, 2329, 13, 24, 17, 931, 14, 226, 314, 1165, 9269, 204, 264, 2248, 68, 3450, 656, 13, 2185, 17, 9269, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 461, 8062, 68, 655, 13, 768, 68, 655, 31, 458, 64, 339, 694, 393, 458, 64, 339, 66, 1152, 443, 31, 204, 264, 320, 204, 264, 2541, 45165, 275, 537, 458, 292, 18, 1721, 329, 2584, 275, 21029, 458, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 655, 322, 655, 64, 339, 1037, 334, 458, 311, 444, 21029, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 66, 1152, 443, 31, 334, 21029, 458, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 4028, 302, 275, 537, 458, 311, 4516, 11227, 275, 2171, 458, 204, 268, 21029, 68, 655, 289, 537, 68, 655, 19, 3462, 374, 204, 268, 314, 1974, 275, 1400, 19, 12446, 741, 311, 8062, 275, 458, 292, 18, 1721, 204, 268, 1400, 19, 12446, 13, 36594, 68, 655, 14, 204, 268, 407, 21029, 68, 655, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 5976, 302, 9095, 490, 204, 268, 532, 1361, 204, 268, 1361, 19, 718, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 273, 458, 302, 886, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 66, 204, 264, 314, 19447, 275, 458, 329, 456, 275, 722, 204, 264, 21029, 68, 1630, 289, 8062, 68, 655, 13, 1630, 14, 204, 264, 397, 21029, 68, 1630, 353, 508, 443, 31, 204, 268, 456, 13, 36594, 68, 1630, 14, 204, 264, 902, 31, 204, 268, 456, 499, 3504, 311, 8062, 275, 458, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 6153, 1361, 204, 264, 532, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 8252, 14, 204, 264, 667, 374, 204, 0, 8, 5927, 34, 3102, 29, 204, 647, 7693, 204, 531, 1498, 532, 783, 204, 204, 676, 40455, 19626, 3715, 323, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 21679, 8917, 496, 15943, 9280, 5448, 329, 10614, 497, 275, 40455, 19626, 25141, 1472, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8917, 19, 204, 268, 4675, 68, 14250, 322, 1218, 64, 325, 1037, 332, 458, 302, 4675, 15006, 348, 275, 8917, 19, 204, 268, 1012, 68, 3968, 322, 1218, 64, 325, 1037, 332, 458, 302, 5448, 311, 1012, 26575, 497, 19, 204, 264, 320, 204, 264, 588, 289, 388, 51, 290, 19626, 3715, 323, 7, 204, 264, 4675, 68, 14250, 289, 2470, 44878, 19, 80, 8349, 728, 82, 19, 1453, 839, 204, 264, 1012, 68, 3968, 289, 2470, 1942, 1963, 44878, 19, 80, 8349, 728, 82, 19, 1453, 20, 44878, 655, 20, 24, 20, 839, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 31, 7693, 19, 1942, 19, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 7483, 9280, 5448, 329, 10614, 497, 275, 958, 19, 204, 204, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 1942, 19, 2628, 330, 334, 958, 497, 275, 35231, 1274, 19, 204, 268, 320, 204, 268, 314, 1986, 9280, 5448, 329, 10614, 204, 268, 9280, 68, 481, 289, 370, 806, 5184, 68, 19203, 68, 481, 13, 1935, 14, 204, 268, 348, 9280, 292, 9280, 68, 481, 31, 204, 305, 456, 13, 75, 7, 21024, 1274, 31, 463, 19203, 736, 805, 18570, 13279, 31, 463, 19203, 736, 1778, 9436, 204, 204, 264, 436, 906, 5184, 68, 19203, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 481, 13, 327, 17, 958, 31, 7693, 19, 1942, 19, 2628, 14, 393, 783, 64, 873, 744, 204, 268, 320, 204, 268, 7483, 9280, 5448, 329, 10614, 497, 275, 958, 19, 204, 204, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 1942, 19, 2628, 330, 334, 958, 497, 275, 35231, 1274, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 873, 744, 332, 458, 302, 5239, 1174, 9280, 5448, 329, 10614, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 9280, 5448, 329, 10614, 974, 20054, 7277, 204, 305, 9280, 68, 3968, 289, 958, 19, 8022, 17528, 632, 20, 70, 64, 22, 8098, 37, 9919, 3930, 5184, 374, 204, 305, 9280, 68, 11941, 289, 958, 19, 8022, 17528, 632, 20, 70, 64, 22, 8098, 492, 24098, 5184, 374, 204, 204, 305, 314, 9587, 9280, 5448, 329, 10614, 1025, 273, 458, 302, 5239, 204, 305, 9280, 68, 481, 289, 551, 204, 485, 463, 204, 895, 379, 805, 597, 379, 1942, 1963, 44878, 19, 80, 8349, 728, 82, 19, 1453, 12, 465, 1779, 17, 204, 895, 379, 1778, 597, 1724, 204, 485, 1211, 204, 485, 348, 1779, 17, 1724, 292, 4337, 13, 19203, 68, 3968, 17, 9280, 68, 11941, 14, 204, 305, 2437, 204, 204, 305, 407, 9280, 68, 481, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 275, 908, 329, 407, 437, 1392, 458, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 16997, 9280, 424, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 7693, 19, 20163, 532, 30213, 204, 204, 264, 1352, 289, 30213, 374, 204, 264, 1352, 19, 22662, 13, 51, 290, 19626, 3715, 323, 13109, 14, 204, 264, 1352, 19, 1530, 374, 204, 0, 658, 47829, 18, 47326, 10523, 348, 28970, 27092, 292, 4847, 204, 673, 47829, 18, 47326, 2986, 529, 273, 4316, 302, 8247, 18574, 11619, 1376, 311, 13356, 5169, 302, 37413, 1717, 29305, 13463, 322, 52, 1557, 88, 789, 8278, 17, 572, 1120, 3288, 329, 5408, 1792, 20404, 302, 275, 47829, 18, 47326, 1216, 292, 4847, 19, 204, 204, 1380, 25031, 28337, 204, 4377, 437, 28970, 302, 275, 798, 1758, 94, 12, 289, 283, 13, 89, 17, 469, 29326, 275, 47829, 18, 47326, 2986, 13356, 275, 1988, 630, 273, 800, 917, 1758, 89, 68, 83, 69, 974, 275, 3090, 1988, 1758, 94, 68, 83, 6557, 334, 2986, 1228, 292, 1017, 1552, 17, 928, 17469, 275, 3666, 302, 275, 14241, 19, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 368, 322, 25835, 6339, 14, 204, 673, 14712, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 322, 89, 1859, 83, 16, 22, 98, 338, 265, 68, 83, 14, 540, 283, 13, 94, 68, 83, 17, 265, 68, 83, 9059, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 22, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 322, 89, 64, 78, 16, 22, 66, 338, 265, 64, 78, 694, 540, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 435, 204, 673, 1552, 435, 47829, 18, 47326, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 373, 540, 283, 13, 89, 465, 373, 20, 23, 17, 469, 68, 83, 465, 373, 20, 23, 540, 283, 13, 89, 17, 469, 68, 83, 38212, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 23, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 373, 289, 265, 64, 78, 16, 22, 66, 338, 265, 64, 78, 66, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 373, 540, 283, 13, 94, 64, 78, 66, 465, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 681, 204, 673, 1552, 681, 47829, 18, 47326, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 322, 77, 20, 27, 14, 540, 322, 80, 22, 465, 435, 15, 80, 23, 465, 435, 15, 80, 24, 465, 724, 25, 9059, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 25, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 373, 289, 265, 64, 78, 16, 22, 66, 338, 265, 64, 78, 66, 204, 268, 724, 22, 289, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 204, 268, 724, 23, 289, 283, 13, 94, 64, 78, 66, 465, 724, 22, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 268, 724, 24, 289, 283, 13, 94, 64, 78, 66, 465, 724, 23, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 268, 724, 25, 289, 283, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 64, 78, 66, 465, 724, 24, 540, 373, 17, 265, 64, 78, 66, 465, 373, 17, 540, 1038, 14, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 322, 77, 802, 887, 6268, 540, 322, 80, 22, 465, 435, 15, 80, 23, 465, 435, 15, 80, 24, 465, 724, 25, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 25828, 302, 10523, 204, 2310, 5408, 275, 1792, 47829, 18, 47326, 2986, 974, 275, 1758, 369, 339, 69, 741, 497, 1758, 42802, 19, 41775, 69, 448, 273, 4398, 19, 204, 204, 3691, 5207, 204, 12252, 289, 551, 369, 339, 17, 1523, 340, 80, 33410, 22, 17, 1523, 340, 80, 33410, 23, 17, 1523, 340, 80, 33410, 25, 66, 204, 26983, 289, 2470, 17152, 379, 84, 491, 379, 88, 491, 43261, 839, 204, 204, 461, 683, 68, 22, 13, 83, 34, 10986, 330, 204, 264, 265, 289, 645, 19, 11391, 13, 21, 17, 931, 17, 300, 14, 204, 264, 348, 1216, 17, 309, 292, 4337, 13, 12252, 17, 14627, 330, 204, 268, 1170, 289, 1216, 13, 1751, 17, 469, 21, 17, 265, 17, 2042, 3644, 71, 17, 279, 602, 204, 268, 1513, 19, 1657, 13, 89, 17, 1170, 3460, 500, 648, 1800, 34, 1939, 3925, 417, 14909, 8973, 34, 82, 14, 204, 264, 1513, 19, 9042, 13, 1229, 833, 6222, 534, 204, 264, 1513, 19, 1778, 499, 34152, 302, 1792, 28970, 9432, 2986, 348, 300, 2508, 98, 1728, 2948, 2478, 13, 83, 602, 204, 264, 1513, 19, 7246, 499, 89, 289, 551, 21, 17, 931, 23064, 204, 264, 1513, 19, 2700, 374, 204, 264, 1513, 19, 2896, 374, 204, 3691, 204, 204, 1380, 18123, 204, 673, 47829, 18, 47326, 2986, 529, 273, 10652, 5910, 348, 8565, 28970, 88, 19, 334, 1552, 681, 1216, 353, 275, 1901, 10205, 17, 1101, 1425, 275, 1901, 26457, 447, 15434, 19, 334, 1758, 369, 339, 69, 741, 497, 1758, 42802, 19, 41775, 69, 353, 8628, 12096, 329, 1182, 10205, 1194, 2077, 16680, 38532, 19, 0, 647, 11866, 24, 204, 531, 1498, 532, 783, 204, 204, 676, 38735, 9976, 3368, 31, 204, 264, 320, 204, 264, 332, 850, 311, 8808, 440, 13588, 38735, 9976, 329, 387, 24, 6171, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 38071, 9976, 68, 1723, 31, 11866, 24, 19, 1723, 17, 297, 24, 68, 1723, 31, 11866, 24, 19, 1723, 330, 204, 268, 320, 204, 268, 977, 275, 38735, 9976, 3368, 726, 19, 204, 204, 268, 457, 31, 204, 305, 38071, 9976, 68, 1723, 322, 26264, 24, 19, 1723, 330, 11866, 24, 3264, 1870, 1545, 726, 348, 38735, 9976, 19, 204, 305, 297, 24, 68, 1723, 322, 26264, 24, 19, 1723, 330, 11866, 24, 3264, 1870, 1545, 726, 348, 387, 24, 19, 204, 268, 320, 204, 268, 370, 19, 88, 438, 9976, 68, 1723, 289, 38071, 9976, 68, 1723, 204, 268, 370, 19, 88, 24, 68, 1723, 289, 297, 24, 68, 1723, 204, 204, 264, 436, 458, 68, 7760, 7683, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 38735, 9976, 9076, 7683, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 783, 302, 15228, 1987, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1986, 275, 15228, 1987, 497, 275, 5644, 204, 305, 407, 551, 14600, 736, 47861, 10193, 2687, 839, 348, 17940, 292, 15228, 68, 12270, 66, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 10883, 41502, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 264, 436, 636, 68, 20963, 68, 1835, 13, 327, 17, 15228, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 1714, 302, 273, 38735, 9976, 40635, 19, 204, 204, 268, 457, 31, 204, 305, 15228, 322, 325, 330, 4014, 302, 275, 15228, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 10352, 302, 275, 15228, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1752, 275, 15228, 1014, 440, 275, 800, 588, 204, 305, 348, 17940, 292, 15228, 68, 12270, 31, 204, 485, 397, 17940, 736, 47861, 10193, 2687, 839, 564, 15228, 31, 204, 895, 314, 455, 275, 1714, 302, 275, 15228, 204, 895, 407, 17940, 736, 47861, 10193, 5330, 839, 204, 305, 314, 455, 273, 943, 397, 275, 15228, 353, 508, 1193, 204, 305, 407, 283, 1954, 20963, 98, 508, 1193, 7, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 5202, 15228, 1714, 31, 463, 74, 743, 204, 305, 407, 3026, 204, 204, 264, 436, 636, 68, 20963, 68, 805, 13, 327, 17, 15228, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 1274, 302, 273, 38735, 9976, 40635, 19, 204, 204, 268, 457, 31, 204, 305, 15228, 322, 325, 330, 4014, 302, 275, 15228, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 1274, 302, 275, 15228, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1752, 275, 15228, 1014, 440, 275, 800, 588, 204, 305, 348, 17940, 292, 15228, 68, 12270, 31, 204, 485, 397, 17940, 736, 47861, 10193, 2687, 839, 564, 15228, 31, 204, 895, 314, 455, 275, 1274, 302, 275, 15228, 204, 895, 407, 283, 7, 3189, 16531, 14600, 736, 18530, 25958, 204, 305, 314, 455, 273, 943, 397, 275, 15228, 353, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 508, 1193, 204, 305, 407, 283, 1954, 20963, 98, 508, 1193, 7, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 5202, 15228, 1274, 31, 463, 74, 743, 204, 305, 407, 3026, 204, 204, 264, 436, 458, 68, 23381, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 387, 24, 9629, 9075, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 783, 302, 6382, 1987, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 20489, 497, 387, 24, 204, 305, 958, 289, 370, 19, 88, 24, 68, 1723, 19, 655, 68, 23381, 374, 204, 305, 314, 1986, 275, 6382, 1987, 497, 275, 958, 204, 305, 407, 551, 2142, 390, 736, 2687, 839, 348, 42297, 292, 958, 736, 10668, 9075, 11653, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 10883, 20489, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 38735, 9976, 329, 387, 24, 11234, 204, 264, 38071, 9976, 68, 1723, 289, 11866, 24, 19, 1723, 611, 88, 438, 9976, 534, 204, 264, 297, 24, 68, 1723, 289, 11866, 24, 19, 1723, 611, 88, 24, 534, 204, 204, 264, 314, 666, 273, 38735, 9976, 3368, 726, 204, 264, 1545, 289, 38735, 9976, 3368, 13, 88, 438, 9976, 68, 1723, 17, 297, 24, 68, 1723, 14, 204, 204, 264, 314, 783, 41502, 204, 264, 41502, 289, 1545, 19, 655, 68, 7760, 7683, 374, 204, 264, 456, 499, 7108, 7683, 2212, 204, 264, 348, 15228, 292, 41502, 31, 204, 268, 456, 13, 20963, 14, 204, 204, 264, 314, 763, 15228, 1714, 204, 264, 15228, 68, 1835, 289, 1545, 19, 505, 68, 20963, 68, 1835, 13, 7760, 7683, 64, 21, 694, 204, 264, 456, 13, 75, 7, 5330, 302, 463, 7760, 7683, 64, 21, 48111, 463, 20963, 68, 1835, 743, 204, 204, 264, 314, 763, 15228, 1274, 204, 264, 15228, 68, 805, 289, 1545, 19, 505, 68, 20963, 68, 805, 13, 7760, 7683, 64, 21, 694, 204, 264, 456, 13, 75, 7, 3778, 302, 463, 7760, 7683, 64, 21, 48111, 463, 20963, 68, 805, 743, 204, 204, 264, 314, 783, 20489, 204, 264, 20489, 289, 1545, 19, 655, 68, 23381, 374, 204, 264, 456, 499, 10668, 9075, 2212, 204, 264, 348, 6382, 292, 20489, 31, 204, 268, 456, 13, 7853, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 265, 3278, 95, 68, 12245, 19, 12245, 532, 38314, 204, 204, 461, 683, 68, 89, 3278, 95, 68, 12245, 68, 2256, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 313, 3278, 95, 12201, 2585, 19, 204, 204, 264, 1058, 741, 6609, 437, 1014, 302, 275, 38314, 850, 329, 5377, 397, 275, 2585, 1216, 2584, 273, 955, 1174, 275, 379, 2256, 12, 896, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 2585, 1216, 1583, 508, 407, 273, 955, 440, 275, 379, 2256, 12, 896, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1014, 302, 275, 38314, 850, 204, 268, 265, 3278, 95, 68, 12245, 289, 38314, 374, 204, 822, 268, 314, 763, 275, 2585, 1483, 497, 275, 265, 3278, 95, 68, 12245, 204, 268, 2585, 68, 1270, 289, 265, 3278, 95, 68, 12245, 19, 2256, 374, 204, 822, 268, 314, 778, 397, 275, 2585, 68, 1270, 353, 273, 955, 329, 3192, 275, 379, 2256, 12, 896, 204, 268, 2136, 2381, 13, 2256, 68, 1270, 17, 1135, 14, 329, 388, 2256, 7, 292, 2585, 68, 1270, 17, 388, 11223, 3986, 353, 508, 273, 955, 521, 1583, 508, 918, 275, 379, 2256, 12, 896, 7, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 683, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 980, 15689, 499, 2346, 5585, 3913, 311, 437, 908, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 89, 3278, 95, 68, 12245, 68, 2256, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 7742, 532, 5278, 17, 17945, 17, 11143, 17, 11881, 17, 6109, 17, 6581, 16007, 204, 531, 7742, 19, 536, 532, 3633, 204, 531, 556, 281, 323, 404, 1156, 19, 3823, 19, 1479, 532, 20987, 448, 3301, 204, 204, 676, 2221, 13, 3295, 330, 204, 264, 320, 204, 264, 2646, 273, 575, 292, 275, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 268, 1043, 68, 417, 322, 325, 330, 334, 575, 677, 1043, 588, 19, 204, 268, 1673, 68, 417, 322, 325, 330, 334, 575, 677, 1673, 588, 19, 204, 268, 2143, 322, 325, 330, 334, 575, 677, 2220, 2143, 19, 204, 264, 320, 204, 264, 589, 13597, 367, 289, 379, 4162, 12, 226, 314, 5199, 1788, 1491, 1435, 588, 348, 18007, 204, 264, 575, 68, 359, 289, 5278, 13, 3937, 17, 11881, 611, 816, 68, 359, 68, 6734, 2008, 4408, 68, 644, 34, 1021, 14, 204, 264, 1043, 68, 417, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 226, 314, 29644, 5943, 34, 1975, 348, 1945, 2357, 204, 264, 1673, 68, 417, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 204, 264, 2143, 289, 5278, 13, 4269, 13, 2051, 659, 2220, 34, 1021, 17, 5943, 34, 1975, 14, 204, 204, 264, 314, 9050, 273, 3633, 440, 275, 5185, 570, 204, 264, 7215, 289, 3633, 499, 7164, 528, 21482, 1022, 4020, 431, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 575, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 2922, 68, 417, 98, 463, 327, 19, 2391, 68, 417, 2495, 204, 204, 676, 5185, 13, 3295, 330, 204, 264, 320, 204, 264, 2646, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 273, 1722, 292, 275, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 1722, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 1722, 19, 204, 268, 31171, 322, 325, 330, 334, 1722, 677, 31171, 19, 204, 268, 1068, 322, 325, 330, 334, 1722, 677, 1666, 19, 204, 268, 575, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 575, 1415, 1966, 275, 1722, 19, 204, 264, 320, 204, 264, 589, 13597, 367, 289, 379, 8754, 12, 226, 314, 5199, 1788, 1491, 1435, 588, 348, 18007, 204, 264, 1722, 68, 359, 289, 5278, 13, 3937, 17, 11881, 611, 2288, 68, 359, 68, 6734, 2008, 4408, 68, 644, 34, 1021, 14, 204, 264, 31171, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 226, 314, 29644, 5943, 34, 1975, 348, 1945, 2357, 204, 264, 1068, 289, 5278, 13, 4269, 13, 14789, 659, 5943, 34, 1975, 14, 204, 264, 575, 68, 359, 289, 5278, 13, 3937, 17, 17945, 499, 4162, 19, 816, 68, 359, 3186, 5943, 34, 1975, 14, 204, 204, 264, 314, 9050, 273, 3633, 440, 275, 2221, 570, 204, 264, 2799, 289, 3633, 499, 2491, 528, 21482, 1022, 8754, 431, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1722, 19, 204, 268, 320, 204, 268, 407, 370, 19, 42108, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 575, 204, 264, 717, 68, 816, 289, 2221, 13, 2922, 68, 417, 1022, 6192, 528, 1673, 68, 417, 1022, 21869, 528, 2143, 1022, 41144, 431, 204, 615, 264, 314, 666, 273, 717, 1722, 204, 264, 717, 68, 2288, 289, 5185, 13, 42108, 1022, 7061, 6867, 5185, 528, 1068, 1022, 1834, 353, 2745, 1043, 1722, 7729, 2799, 34, 1957, 68, 816, 14, 204, 615, 264, 314, 1198, 275, 575, 329, 1722, 204, 264, 456, 13, 1957, 68, 816, 14, 204, 264, 456, 13, 1957, 68, 2288, 14, 204, 0, 461, 2252, 68, 4841, 68, 1031, 13, 4841, 68, 1031, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 2735, 437, 3091, 782, 1025, 273, 458, 302, 1892, 19, 204, 204, 264, 457, 31, 204, 268, 3091, 68, 1031, 322, 325, 330, 334, 537, 3091, 782, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1892, 2457, 275, 3091, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 3091, 782, 560, 12937, 329, 1814, 848, 1085, 311, 437, 1534, 204, 264, 407, 551, 339, 13, 78, 14, 348, 296, 292, 3091, 68, 1031, 19, 1590, 25488, 204, 204, 461, 6879, 68, 10825, 13, 10825, 31, 458, 64, 655, 64, 339, 4395, 717, 68, 4841, 31, 458, 64, 339, 694, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 9761, 273, 717, 3091, 1025, 273, 458, 302, 1950, 18, 22555, 7046, 19, 204, 204, 264, 457, 31, 204, 268, 7046, 322, 655, 64, 655, 64, 339, 3795, 334, 458, 302, 1950, 18, 22555, 7046, 19, 204, 268, 717, 68, 4841, 322, 655, 64, 339, 1037, 334, 717, 3091, 311, 444, 6116, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 2440, 334, 6116, 458, 302, 1950, 18, 22555, 7046, 19, 204, 264, 320, 204, 264, 314, 977, 275, 6116, 7046, 458, 204, 264, 6116, 68, 10825, 289, 1306, 204, 615, 264, 314, 977, 275, 1112, 348, 275, 7046, 458, 204, 264, 296, 289, 500, 204, 615, 264, 314, 1255, 830, 7046, 496, 3891, 2518, 275, 717, 3091, 204, 264, 1335, 296, 962, 1245, 13, 10825, 14, 329, 7046, 64, 78, 1799, 22, 66, 962, 717, 68, 4841, 64, 21, 744, 204, 268, 6116, 68, 10825, 19, 1223, 13, 10825, 64, 78, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 314, 9761, 19924, 7046, 204, 264, 1335, 296, 962, 1245, 13, 10825, 14, 329, 7046, 64, 78, 1799, 21, 66, 2186, 717, 68, 4841, 64, 22, 744, 204, 268, 314, 1716, 275, 717, 3091, 311, 444, 275, 6116, 3091, 204, 268, 717, 68, 4841, 64, 21, 66, 289, 1006, 13, 1957, 68, 4841, 64, 21, 648, 7046, 64, 78, 1799, 21, 694, 204, 268, 717, 68, 4841, 64, 22, 66, 289, 846, 13, 1957, 68, 4841, 64, 22, 648, 7046, 64, 78, 1799, 22, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 314, 1255, 275, 6116, 3091, 204, 264, 6116, 68, 10825, 19, 1223, 13, 1957, 68, 4841, 14, 204, 615, 264, 314, 1255, 830, 4017, 7046, 204, 264, 1335, 296, 962, 1245, 13, 10825, 330, 204, 268, 6116, 68, 10825, 19, 1223, 13, 10825, 64, 78, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 407, 6116, 68, 10825, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 64, 655, 64, 655, 64, 339, 4395, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 1606, 275, 537, 3157, 329, 2252, 1475, 1025, 7046, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 655, 64, 655, 64, 339, 4395, 458, 64, 339, 2440, 332, 927, 1174, 275, 458, 302, 7046, 329, 275, 717, 3091, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 3157, 204, 264, 537, 68, 1031, 289, 537, 8083, 23, 7733, 23, 66, 204, 264, 717, 68, 4841, 68, 1031, 289, 537, 8083, 22, 7733, 22, 66, 204, 615, 264, 314, 2735, 275, 537, 3157, 204, 264, 3091, 68, 655, 289, 551, 1703, 68, 4841, 68, 1031, 13, 78, 14, 348, 296, 292, 537, 68, 1031, 19, 1590, 611, 26497, 10116, 204, 264, 717, 68, 4841, 289, 2252, 68, 4841, 68, 1031, 13, 1957, 68, 4841, 68, 1031, 14, 204, 615, 264, 407, 3091, 68, 655, 17, 717, 68, 4841, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 275, 537, 17, 47218, 275, 7046, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 7046, 329, 275, 717, 3091, 204, 264, 3091, 68, 655, 17, 717, 68, 4841, 289, 1151, 68, 768, 374, 204, 615, 264, 314, 9761, 275, 7046, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6116, 68, 10825, 289, 6879, 68, 10825, 13, 4841, 68, 655, 17, 717, 68, 4841, 14, 204, 615, 264, 314, 1198, 275, 6116, 7046, 204, 264, 456, 13, 13551, 68, 10825, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 1361, 19, 1087, 204, 531, 1498, 532, 783, 204, 204, 531, 4433, 532, 14305, 204, 531, 4433, 532, 3017, 204, 531, 4433, 68, 5243, 93, 532, 12684, 204, 204, 531, 740, 532, 838, 68, 748, 204, 531, 3923, 19, 10764, 19, 24976, 19, 10764, 532, 26555, 448, 8798, 68, 11730, 204, 531, 3923, 19, 16183, 3379, 19, 24976, 19, 16183, 3379, 532, 26555, 448, 38627, 68, 11730, 204, 531, 3923, 19, 20037, 68, 655, 19, 24976, 19, 20037, 68, 655, 532, 26555, 448, 10551, 68, 655, 68, 11730, 204, 531, 3923, 19, 2226, 68, 8530, 19, 24976, 19, 2226, 532, 26555, 448, 2048, 68, 11730, 204, 531, 3923, 19, 8665, 19, 24976, 19, 8665, 532, 26555, 448, 6042, 68, 11730, 204, 531, 3923, 19, 16713, 13828, 19, 24976, 19, 16713, 13828, 532, 26555, 448, 41847, 68, 11730, 204, 531, 3923, 19, 5969, 68, 4162, 19, 24976, 19, 5969, 68, 4162, 532, 26555, 448, 3232, 68, 4162, 68, 11730, 204, 531, 954, 532, 2557, 204, 204, 8, 968, 30484, 204, 40072, 31, 783, 64, 1386, 66, 289, 551, 204, 264, 8798, 68, 11730, 17, 204, 264, 38627, 68, 11730, 17, 204, 264, 10551, 68, 655, 68, 11730, 17, 204, 264, 2048, 68, 11730, 17, 204, 264, 6042, 68, 11730, 17, 204, 264, 41847, 68, 11730, 17, 204, 264, 3232, 68, 4162, 68, 11730, 204, 66, 204, 204, 461, 5327, 68, 3247, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 1361, 974, 275, 1361, 19, 4120, 510, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4923, 832, 302, 275, 1361, 1586, 510, 204, 264, 1361, 68, 4120, 68, 546, 289, 1127, 19, 546, 19, 16741, 43332, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 3843, 553, 19128, 379, 3247, 19, 4120, 3063, 204, 264, 314, 6153, 1361, 974, 275, 510, 204, 264, 1361, 19, 1087, 19, 553, 2108, 13, 3247, 68, 4120, 68, 546, 14, 204, 204, 461, 838, 68, 2005, 68, 748, 374, 393, 14305, 31, 204, 264, 320, 204, 264, 666, 275, 1893, 14497, 329, 881, 30484, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 3017, 14305, 204, 264, 14497, 289, 14305, 611, 2005, 491, 589, 417, 14909, 1779, 68, 4830, 22375, 2005, 534, 204, 264, 314, 977, 275, 1893, 204, 264, 3923, 289, 12684, 13, 10182, 14, 204, 264, 314, 1255, 30484, 311, 275, 1893, 204, 264, 348, 8528, 292, 30484, 31, 204, 268, 3923, 19, 826, 68, 11730, 13, 11730, 14, 204, 264, 407, 14497, 204, 204, 461, 838, 68, 9879, 68, 748, 374, 393, 3017, 31, 204, 264, 320, 204, 264, 666, 275, 3017, 1650, 19, 204, 264, 320, 204, 264, 314, 666, 275, 3017, 1650, 204, 264, 740, 289, 838, 68, 748, 374, 204, 264, 314, 6153, 1361, 204, 264, 5327, 68, 3247, 374, 204, 264, 314, 666, 275, 1893, 14497, 204, 264, 14497, 289, 838, 68, 2005, 68, 748, 374, 204, 264, 314, 6676, 275, 1893, 14497, 440, 275, 3017, 1650, 204, 264, 740, 19, 4216, 68, 10182, 13, 10182, 14, 204, 264, 407, 740, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 4383, 1981, 19, 204, 264, 320, 204, 264, 314, 666, 275, 3017, 1650, 204, 264, 740, 289, 838, 68, 9879, 68, 748, 374, 204, 264, 314, 763, 275, 2082, 204, 264, 711, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 264, 810, 31, 204, 268, 314, 2175, 275, 1012, 302, 275, 4383, 1981, 204, 268, 711, 19, 1270, 611, 15770, 45662, 24729, 4383, 1981, 630, 4778, 16531, 5865, 2005, 20, 10849, 38271, 33, 2625, 2478, 13, 748, 19, 1087, 736, 12920, 68, 3344, 13649, 204, 268, 314, 2466, 275, 4383, 1981, 204, 268, 740, 19, 1777, 13, 4561, 34, 3282, 19, 15652, 17771, 68, 9281, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 204, 268, 711, 19, 718, 13, 75, 7, 596, 4145, 1981, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 3238, 204, 647, 1875, 204, 531, 10271, 532, 3207, 204, 647, 1437, 204, 531, 6497, 45187, 68, 28567, 19, 14335, 45187, 23, 68, 3436, 272, 93, 24, 532, 6497, 45187, 23, 68, 3436, 272, 93, 24, 204, 531, 10050, 532, 10050, 204, 204, 8, 968, 3454, 204, 8440, 68, 2956, 289, 14692, 204, 52, 6622, 5640, 6176, 68, 35261, 289, 551, 1003, 17, 1199, 17, 2468, 17, 2846, 17, 2753, 66, 204, 204, 461, 1137, 68, 809, 13, 3075, 31, 394, 14, 393, 6497, 45187, 23, 68, 3436, 272, 93, 24, 31, 204, 264, 320, 204, 264, 1385, 275, 17646, 48076, 2513, 570, 19, 204, 204, 264, 457, 31, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1137, 275, 570, 523, 322, 74, 19, 76, 2458, 388, 6938, 7, 521, 388, 6995, 5561, 204, 204, 264, 475, 31, 204, 264, 6497, 45187, 23, 68, 3436, 272, 93, 24, 31, 334, 3271, 17646, 48076, 2513, 570, 19, 204, 264, 320, 204, 264, 570, 289, 6497, 45187, 23, 68, 3436, 272, 93, 24, 13, 15112, 34, 1975, 14, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 264, 3093, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 204, 268, 388, 14335, 45187, 68, 28567, 20, 30502, 48076, 2513, 5526, 68, 7257, 1318, 93, 24, 19, 2957, 528, 204, 264, 1179, 204, 264, 3093, 289, 1437, 19, 986, 13, 3815, 68, 546, 17, 2304, 68, 3366, 34, 3075, 14, 204, 264, 570, 19, 986, 68, 1512, 68, 873, 13, 3815, 14, 204, 264, 407, 570, 204, 204, 461, 1137, 68, 5342, 8168, 68, 761, 68, 7709, 13, 935, 68, 835, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 275, 3466, 6458, 711, 2634, 19, 204, 204, 264, 457, 31, 204, 264, 752, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 752, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 3466, 6458, 711, 2634, 19, 204, 264, 320, 204, 264, 407, 645, 19, 761, 13, 1123, 19, 3535, 1802, 935, 68, 835, 17, 752, 68, 835, 602, 802, 752, 68, 835, 802, 752, 68, 835, 14, 204, 204, 461, 6497, 45187, 68, 4396, 68, 12866, 13, 204, 264, 752, 31, 645, 19, 766, 17, 570, 31, 6497, 45187, 23, 68, 3436, 272, 93, 24, 17, 3466, 8168, 68, 761, 68, 7709, 31, 645, 19, 766, 17, 2322, 31, 394, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8698, 275, 4005, 16855, 6096, 974, 17646, 48076, 2513, 19, 204, 204, 264, 457, 31, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 264, 570, 322, 14335, 45187, 23, 68, 3436, 272, 93, 24, 330, 334, 17646, 48076, 2513, 570, 19, 204, 264, 3466, 8168, 68, 761, 68, 7709, 322, 1123, 19, 766, 330, 334, 3466, 6458, 711, 2634, 19, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1523, 275, 570, 523, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 3908, 4005, 16855, 6096, 19, 204, 264, 320, 204, 264, 752, 68, 481, 289, 1437, 19, 3116, 1568, 935, 19, 12905, 13, 23, 17, 500, 17, 368, 10354, 4798, 34, 3109, 19, 996, 2177, 789, 633, 13, 3075, 14, 204, 264, 3466, 8168, 68, 481, 289, 1437, 19, 3116, 1568, 5342, 8168, 68, 761, 68, 7709, 66, 540, 1245, 13, 935, 68, 481, 8093, 633, 13, 3075, 14, 204, 264, 570, 68, 1420, 289, 570, 19, 6904, 13, 93, 34, 935, 68, 481, 17, 3466, 8168, 34, 5342, 8168, 68, 481, 14, 204, 264, 711, 68, 12866, 289, 570, 68, 1420, 19, 18861, 1528, 6995, 1528, 5770, 8083, 21, 17, 500, 66, 204, 264, 407, 645, 19, 4041, 13, 761, 68, 12866, 14, 204, 204, 461, 636, 68, 655, 68, 522, 68, 912, 6762, 68, 5864, 13, 25363, 68, 835, 31, 421, 17, 6528, 68, 10967, 68, 835, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 1256, 6762, 4738, 19, 204, 204, 264, 457, 31, 204, 264, 19831, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 19831, 19, 204, 264, 6528, 68, 10967, 68, 835, 322, 339, 330, 334, 4923, 1302, 302, 275, 6528, 19, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 458, 302, 1256, 6762, 4738, 19, 204, 264, 320, 204, 264, 314, 1058, 741, 353, 508, 4310, 292, 275, 2171, 1576, 17, 754, 382, 12119, 14958, 490, 677, 273, 3277, 5581, 204, 264, 4738, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 21, 17, 19831, 68, 835, 338, 6528, 68, 10967, 68, 835, 465, 368, 330, 204, 268, 348, 781, 292, 933, 13, 21, 17, 19831, 68, 835, 338, 6528, 68, 10967, 68, 835, 465, 368, 330, 204, 305, 4738, 19, 1223, 1802, 78, 17, 296, 465, 6528, 68, 10967, 68, 835, 17, 781, 17, 781, 465, 6528, 68, 10967, 68, 835, 602, 204, 264, 407, 4738, 204, 204, 461, 1352, 68, 16557, 13, 204, 264, 9397, 31, 1135, 17, 204, 264, 1256, 6762, 68, 835, 68, 998, 31, 421, 17, 204, 264, 570, 31, 6497, 45187, 23, 68, 3436, 272, 93, 24, 17, 204, 264, 3466, 8168, 68, 761, 68, 7709, 31, 645, 19, 766, 17, 204, 264, 2322, 31, 394, 17, 204, 264, 2042, 31, 3238, 19, 5750, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2875, 9397, 19, 204, 204, 264, 457, 31, 204, 264, 9397, 322, 873, 330, 334, 9397, 424, 19, 204, 264, 1256, 6762, 68, 835, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 1256, 6762, 1302, 19, 204, 264, 570, 322, 14335, 45187, 23, 68, 3436, 272, 93, 24, 330, 334, 17646, 48076, 2513, 570, 19, 204, 264, 3466, 8168, 68, 761, 68, 7709, 322, 1123, 19, 766, 330, 334, 3466, 6458, 711, 2634, 19, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1523, 275, 570, 523, 19, 204, 264, 2042, 322, 11996, 19, 5750, 330, 334, 1354, 18, 1054, 1906, 19, 204, 264, 320, 204, 264, 6528, 68, 13938, 68, 835, 289, 650, 6622, 5640, 6176, 68, 35261, 64, 912, 6762, 68, 835, 68, 998, 66, 204, 264, 6528, 68, 10967, 68, 835, 289, 6528, 68, 13938, 68, 835, 204, 264, 19831, 68, 835, 289, 6528, 68, 10967, 68, 835, 204, 204, 264, 458, 68, 522, 68, 5864, 289, 636, 68, 655, 68, 522, 68, 912, 6762, 68, 5864, 13, 25363, 68, 835, 17, 6528, 68, 10967, 68, 835, 14, 204, 204, 264, 314, 1385, 27469, 204, 264, 17352, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 9397, 1166, 10197, 2869, 204, 268, 283, 7, 29907, 68, 1538, 68, 912, 16461, 68, 522, 1859, 5690, 68, 13938, 68, 835, 6803, 6169, 19, 12942, 528, 204, 264, 1179, 204, 264, 397, 2042, 19, 546, 68, 1803, 2167, 27262, 204, 268, 17352, 289, 17352, 19, 3834, 13, 1038, 19, 546, 68, 1803, 17, 2042, 19, 546, 68, 3834, 14, 204, 264, 27469, 289, 645, 19, 986, 13, 6696, 14, 204, 204, 264, 314, 1752, 1006, 20, 1129, 1048, 830, 13320, 2388, 827, 275, 1540, 752, 204, 264, 1006, 68, 10331, 68, 3443, 289, 27469, 9128, 22, 1664, 30740, 374, 204, 264, 846, 68, 10331, 68, 3443, 289, 27469, 9128, 22, 1664, 11300, 374, 204, 204, 264, 1006, 68, 1932, 289, 458, 68, 522, 68, 5864, 64, 885, 68, 10331, 68, 3443, 66, 204, 264, 846, 68, 1932, 289, 458, 68, 522, 68, 5864, 64, 1129, 68, 10331, 68, 3443, 66, 204, 204, 264, 314, 1385, 752, 204, 264, 1540, 68, 2120, 68, 935, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 16557, 1166, 10197, 2869, 388, 2120, 68, 2305, 19, 4955, 431, 204, 264, 1540, 68, 2120, 68, 935, 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, 645, 19, 643, 13, 3873, 19, 3664, 13, 2305, 68, 2120, 68, 935, 68, 546, 8093, 7532, 13, 1123, 19, 996, 14, 204, 204, 264, 314, 8698, 4005, 16855, 6096, 204, 264, 4005, 16855, 68, 7709, 289, 6497, 45187, 68, 4396, 68, 12866, 13, 204, 268, 1540, 68, 2120, 68, 935, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 204, 264, 1179, 204, 204, 264, 314, 37246, 4005, 16855, 2634, 1048, 1006, 329, 846, 6528, 4738, 204, 264, 1006, 68, 5690, 68, 6868, 16855, 289, 645, 19, 3037, 13, 204, 268, 4005, 16855, 68, 7709, 64, 204, 305, 1006, 68, 1932, 64, 21, 66, 1164, 1006, 68, 1932, 64, 22, 648, 1006, 68, 1932, 64, 23, 66, 1164, 1006, 68, 1932, 64, 24, 66, 204, 268, 2437, 204, 264, 1179, 204, 264, 846, 68, 5690, 68, 6868, 16855, 289, 645, 19, 3037, 13, 204, 268, 4005, 16855, 68, 7709, 64, 204, 305, 846, 68, 1932, 64, 21, 66, 1164, 846, 68, 1932, 64, 22, 648, 846, 68, 1932, 64, 23, 66, 1164, 846, 68, 1932, 64, 24, 66, 204, 268, 2437, 204, 264, 1179, 204, 204, 264, 314, 1716, 9397, 440, 4005, 16855, 5989, 204, 264, 9397, 1166, 885, 68, 2120, 68, 5690, 68, 6868, 16855, 1339, 289, 388, 9489, 1258, 75, 7, 1564, 1006, 68, 5690, 68, 6868, 16855, 204, 264, 9397, 1166, 1129, 68, 2120, 68, 5690, 68, 6868, 16855, 1339, 289, 388, 9489, 1258, 75, 7, 1564, 846, 68, 5690, 68, 6868, 16855, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 374, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 768, 18, 8064, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 546, 311, 275, 537, 4858, 4147, 1875, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 1420, 18, 8064, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 3663, 311, 2106, 275, 2423, 4858, 4147, 440, 275, 27396, 3986, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 912, 6762, 18, 835, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1187, 34, 339, 17, 204, 268, 5426, 34, 52, 6622, 5640, 6176, 68, 35261, 17, 204, 268, 1340, 1022, 912, 6762, 1302, 1376, 348, 275, 30856, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 546, 18, 1803, 528, 204, 268, 1945, 34, 1975, 17, 204, 268, 1540, 22278, 204, 268, 1340, 1022, 266, 1322, 275, 832, 311, 275, 4793, 752, 424, 869, 7716, 17, 808, 4601, 618, 444, 1376, 311, 4066, 3576, 302, 275, 832, 440, 5805, 902, 7729, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 546, 18, 3834, 528, 204, 268, 1945, 34, 1975, 17, 204, 268, 1540, 22278, 204, 268, 1340, 1022, 876, 311, 4066, 3576, 302, 275, 752, 3630, 440, 528, 204, 264, 1179, 204, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 2136, 322, 1038, 19, 546, 68, 1803, 564, 3026, 329, 2042, 19, 546, 68, 3834, 564, 11070, 521, 322, 204, 268, 2042, 19, 546, 68, 1803, 2167, 3026, 329, 2042, 19, 546, 68, 3834, 2167, 3026, 204, 264, 1179, 204, 204, 264, 1256, 6762, 68, 835, 68, 998, 289, 650, 6622, 5640, 6176, 68, 35261, 19, 998, 13, 1038, 19, 912, 6762, 68, 835, 14, 204, 204, 264, 440, 1451, 13, 1038, 19, 768, 68, 8064, 17, 388, 87, 431, 448, 283, 31, 204, 268, 4147, 289, 1875, 19, 986, 13, 75, 14, 204, 204, 264, 2322, 289, 388, 6938, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 7, 204, 264, 570, 289, 1137, 68, 809, 13, 3075, 14, 204, 264, 3466, 8168, 68, 761, 68, 7709, 289, 1137, 68, 5342, 8168, 68, 761, 68, 7709, 13, 8440, 68, 2956, 14, 204, 204, 264, 348, 1781, 292, 10050, 13, 8064, 1166, 6381, 28133, 204, 268, 348, 9397, 292, 1781, 1166, 1292, 68, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 268, 348, 9397, 292, 1781, 1166, 1292, 68, 27715, 68, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 268, 348, 9397, 292, 1781, 1166, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 204, 264, 440, 1451, 13, 1038, 19, 1420, 68, 8064, 17, 388, 92, 431, 448, 283, 31, 204, 268, 1875, 19, 4573, 13, 8064, 17, 283, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 37406, 22, 3228, 19, 18507, 22, 5379, 532, 35817, 22, 5379, 204, 204, 676, 6547, 13, 18507, 22, 5379, 330, 204, 264, 320, 204, 264, 2646, 273, 1068, 726, 292, 35817, 22, 19, 204, 204, 264, 1532, 31, 204, 268, 906, 417, 322, 325, 330, 334, 588, 302, 275, 1068, 726, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 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, 273, 717, 1014, 302, 275, 6547, 850, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 588, 353, 1392, 521, 443, 204, 268, 397, 508, 588, 31, 204, 305, 980, 987, 499, 2687, 2950, 444, 1392, 521, 443, 431, 204, 822, 268, 314, 977, 275, 588, 3929, 204, 268, 370, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 806, 417, 289, 588, 204, 268, 2234, 3853, 924, 889, 417, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 588, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 588, 302, 275, 1068, 726, 19, 204, 268, 320, 204, 268, 314, 455, 275, 588, 3929, 204, 268, 407, 370, 806, 417, 204, 204, 264, 1642, 417, 19, 11094, 204, 264, 436, 588, 13, 327, 17, 700, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 717, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 588, 353, 1392, 521, 443, 204, 268, 397, 508, 700, 31, 204, 305, 980, 987, 499, 2687, 2950, 444, 1392, 521, 443, 431, 204, 822, 268, 314, 1716, 275, 588, 3929, 204, 268, 370, 806, 417, 289, 700, 204, 268, 2234, 3853, 924, 889, 876, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1068, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 1068, 726, 19, 204, 268, 320, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 1068, 726, 204, 268, 407, 283, 7, 3430, 7730, 31, 463, 327, 19, 417, 2495, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 19, 204, 268, 320, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 204, 268, 407, 283, 7, 3430, 18695, 327, 19, 417, 21121, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 1068, 726, 204, 264, 1068, 289, 6547, 499, 5063, 6547, 431, 204, 615, 264, 314, 1198, 275, 588, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 19, 417, 14, 204, 615, 264, 314, 1716, 275, 588, 302, 275, 1068, 726, 204, 264, 1068, 19, 417, 289, 388, 6001, 1165, 6547, 7, 204, 615, 264, 314, 1198, 275, 2908, 588, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 19, 417, 14, 204, 615, 264, 314, 1198, 273, 782, 2355, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 14, 204, 615, 264, 314, 1198, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 204, 264, 456, 13, 6843, 13, 492, 602, 204, 0, 315, 204, 1834, 2413, 18654, 329, 432, 4973, 4109, 17206, 1094, 497, 15397, 329, 2363, 8839, 629, 17206, 1094, 19, 204, 204, 3837, 3629, 273, 3277, 4510, 311, 3073, 1792, 17206, 1094, 17, 2864, 2599, 17206, 1094, 497, 15397, 204, 416, 2363, 8839, 629, 17206, 1094, 19, 204, 204, 5063, 1265, 31, 204, 264, 18036, 497, 1094, 532, 636, 68, 17014, 68, 809, 204, 264, 18036, 570, 289, 636, 68, 17014, 68, 809, 499, 17014, 2132, 431, 204, 264, 18036, 456, 13, 809, 14, 204, 315, 204, 204, 531, 15397, 19, 1618, 532, 322, 204, 264, 33294, 2132, 17, 204, 264, 33294, 5091, 17, 204, 264, 33294, 1719, 17, 204, 264, 33294, 10986, 17, 204, 264, 33294, 27294, 17, 204, 14, 204, 531, 1094, 19, 20028, 629, 68, 17014, 532, 322, 204, 264, 39608, 68, 17014, 2132, 17, 204, 264, 39608, 68, 17014, 5091, 17, 204, 264, 39608, 68, 17014, 1719, 17, 204, 264, 39608, 68, 17014, 10986, 17, 204, 264, 39608, 68, 17014, 27294, 17, 204, 14, 204, 204, 461, 636, 68, 17014, 68, 809, 13, 809, 68, 417, 31, 394, 14, 393, 726, 31, 204, 264, 320, 204, 264, 475, 273, 17206, 570, 1609, 523, 275, 800, 570, 588, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 17206, 570, 311, 3686, 19, 204, 305, 4128, 444, 1051, 302, 275, 2631, 31, 204, 485, 338, 33294, 2132, 204, 485, 338, 33294, 5091, 204, 485, 338, 33294, 1719, 204, 485, 338, 33294, 10986, 204, 485, 338, 33294, 27294, 204, 485, 338, 39608, 68, 17014, 2132, 204, 485, 338, 39608, 68, 17014, 5091, 204, 485, 338, 39608, 68, 17014, 1719, 204, 485, 338, 39608, 68, 17014, 10986, 204, 485, 338, 39608, 68, 17014, 27294, 204, 204, 264, 475, 31, 204, 268, 726, 31, 334, 13112, 17206, 570, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 570, 588, 353, 508, 11022, 19, 204, 264, 320, 204, 264, 314, 968, 273, 955, 311, 2304, 570, 1987, 311, 1017, 3310, 3263, 204, 264, 570, 68, 6992, 289, 463, 204, 268, 388, 17014, 2132, 559, 33294, 2132, 17, 204, 268, 388, 17014, 5091, 559, 33294, 5091, 17, 204, 268, 388, 17014, 1719, 559, 33294, 1719, 17, 204, 268, 388, 17014, 10986, 559, 33294, 10986, 17, 204, 268, 388, 17014, 27294, 559, 33294, 27294, 17, 204, 268, 388, 20028, 629, 68, 17014, 2132, 559, 39608, 68, 17014, 2132, 17, 204, 268, 388, 20028, 629, 68, 17014, 5091, 559, 39608, 68, 17014, 5091, 17, 204, 268, 388, 20028, 629, 68, 17014, 1719, 559, 39608, 68, 17014, 1719, 17, 204, 268, 388, 20028, 629, 68, 17014, 10986, 559, 39608, 68, 17014, 10986, 17, 204, 268, 388, 20028, 629, 68, 17014, 27294, 559, 39608, 68, 17014, 27294, 17, 204, 264, 1211, 204, 204, 264, 314, 778, 397, 275, 570, 588, 353, 11022, 204, 264, 397, 570, 68, 417, 508, 292, 570, 68, 6992, 31, 204, 268, 980, 987, 13, 75, 7, 3739, 30322, 570, 588, 31, 463, 809, 68, 417, 743, 204, 204, 264, 314, 455, 275, 13112, 570, 204, 264, 407, 570, 68, 6992, 64, 809, 68, 417, 31920, 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, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 314, 6608, 311, 532, 329, 732, 273, 570, 204, 268, 570, 289, 636, 68, 17014, 68, 809, 499, 17014, 2132, 431, 204, 268, 456, 13, 809, 14, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 314, 1426, 532, 2744, 204, 268, 456, 13, 75, 7, 596, 25875, 570, 31, 463, 74, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 314, 1426, 2872, 570, 1987, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 658, 1687, 368, 31, 968, 275, 741, 283, 13, 93, 14, 329, 2248, 1163, 26069, 630, 610, 289, 500, 204, 673, 741, 283, 13, 93, 14, 353, 4310, 292, 970, 8305, 31, 283, 13, 93, 14, 289, 500, 397, 610, 8103, 500, 17, 329, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 14, 397, 610, 1323, 500, 19, 2416, 2248, 496, 283, 13, 93, 14, 353, 7346, 630, 610, 289, 500, 17, 572, 1519, 311, 2248, 496, 275, 2689, 302, 283, 13, 93, 14, 448, 610, 7881, 500, 353, 1936, 311, 283, 13, 21, 789, 4682, 283, 13, 21, 14, 289, 500, 17, 572, 1519, 311, 2248, 496, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 500, 19, 204, 204, 658, 1687, 435, 31, 6426, 496, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 500, 204, 3070, 610, 1323, 500, 17, 572, 874, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 789, 5486, 265, 289, 368, 20, 93, 17, 754, 448, 610, 393, 500, 17, 265, 393, 17342, 19, 5512, 17, 572, 874, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 6387, 265, 12315, 17037, 318, 7218, 89, 67, 23, 14, 289, 500, 19, 204, 204, 658, 1687, 571, 31, 6426, 496, 283, 5822, 21, 14, 2560, 204, 1449, 2248, 496, 283, 5822, 21, 14, 2560, 17, 572, 1519, 311, 2248, 496, 275, 2689, 302, 551, 75, 13, 93, 14, 338, 283, 13, 21, 2395, 6918, 93, 338, 500, 14, 448, 610, 7881, 500, 2560, 19, 4682, 283, 13, 21, 14, 289, 500, 17, 572, 1519, 311, 2248, 496, 6387, 610, 12315, 21, 283, 13, 93, 4061, 93, 2560, 19, 1765, 610, 1323, 500, 17, 572, 874, 283, 13, 93, 4061, 93, 289, 318, 7218, 22, 20, 93, 67, 23, 4061, 93, 19, 5486, 265, 289, 368, 20, 93, 17, 754, 448, 610, 393, 500, 17, 265, 393, 17342, 19, 5512, 17, 572, 874, 6387, 610, 12315, 21, 283, 13, 93, 4061, 93, 289, 6387, 265, 12315, 17037, 318, 7218, 89, 67, 23, 4061, 89, 289, 500, 19, 204, 204, 658, 1687, 681, 31, 6426, 496, 283, 6023, 83, 3085, 21, 14, 2560, 348, 830, 300, 204, 1449, 2248, 496, 283, 6023, 83, 3085, 21, 14, 2560, 348, 830, 300, 17, 572, 618, 22340, 283, 13, 93, 14, 20628, 329, 2248, 496, 275, 2689, 302, 283, 6023, 83, 3085, 93, 14, 448, 610, 7881, 500, 2560, 19, 6917, 42117, 283, 13, 93, 14, 273, 4542, 2666, 17, 572, 618, 3020, 496, 848, 3018, 1120, 874, 273, 2479, 302, 318, 7218, 22, 20, 93, 67, 23, 659, 928, 7881, 500, 448, 610, 7881, 500, 19, 204, 204, 658, 1687, 720, 31, 3400, 275, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 204, 673, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 353, 800, 560, 283, 13, 93, 14, 289, 283, 13, 21, 14, 465, 283, 5822, 21, 14, 93, 465, 283, 21586, 21, 14, 93, 67, 23, 20, 23, 6, 465, 3168, 2617, 4682, 283, 13, 21, 14, 289, 500, 329, 283, 5822, 21, 14, 289, 500, 17, 275, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 353, 500, 19, 204, 204, 658, 1687, 887, 31, 6426, 496, 275, 17488, 10665, 18142, 22098, 1101, 1583, 508, 25717, 311, 283, 13, 93, 14, 348, 610, 1323, 500, 204, 673, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 18142, 22098, 2404, 490, 353, 273, 3324, 3196, 322, 21, 789, 3355, 17, 490, 1583, 508, 25717, 311, 283, 13, 93, 14, 348, 610, 1323, 500, 2404, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 14, 353, 508, 1936, 311, 500, 348, 610, 1323, 500, 19, 204, 204, 658, 1687, 1168, 31, 11328, 275, 3196, 14868, 70, 68, 83, 329, 275, 2689, 302, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 448, 300, 7881, 17342, 204, 4377, 496, 6387, 300, 12315, 17037, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 289, 480, 17, 572, 1519, 311, 2248, 496, 397, 480, 962, 368, 17, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 17, 329, 397, 480, 1323, 368, 17, 275, 3196, 38971, 19, 204, 204, 658, 1687, 1132, 31, 6426, 496, 397, 480, 962, 368, 17, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 204, 3719, 480, 962, 368, 17, 1675, 1422, 2560, 273, 542, 468, 1702, 496, 480, 962, 468, 962, 368, 19, 1765, 29899, 3403, 300, 17, 572, 874, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 962, 468, 17, 928, 10600, 496, 1152, 70, 68, 83, 97, 962, 468, 67, 83, 19, 4682, 275, 3196, 14868, 87, 67, 83, 18142, 322, 286, 353, 273, 9902, 3196, 440, 1152, 87, 97, 962, 368, 659, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 560, 7448, 19, 204, 204, 658, 1687, 1233, 31, 6426, 496, 397, 480, 1323, 368, 17, 275, 3196, 14868, 70, 68, 83, 38971, 204, 3719, 480, 1323, 368, 17, 1675, 1422, 2560, 273, 542, 468, 1702, 496, 368, 962, 468, 962, 480, 19, 1765, 29899, 3403, 300, 17, 572, 874, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 1323, 468, 17, 928, 10600, 496, 1152, 70, 68, 83, 97, 1323, 468, 67, 83, 19, 4682, 275, 3196, 14868, 87, 67, 83, 38971, 322, 286, 353, 273, 9902, 3196, 440, 1152, 87, 97, 1323, 368, 659, 275, 3196, 14868, 70, 68, 83, 38971, 560, 7448, 19, 204, 204, 658, 1687, 931, 31, 32484, 14712, 677, 2089, 974, 275, 17488, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10665, 348, 318, 67, 95, 204, 673, 17488, 10665, 348, 318, 67, 95, 353, 800, 560, 318, 67, 95, 289, 368, 465, 1264, 465, 1264, 67, 23, 20, 23, 6, 465, 1264, 67, 24, 20, 24, 6, 465, 3168, 2617, 19151, 1264, 289, 38181, 17, 572, 636, 318, 67, 1077, 289, 368, 465, 38181, 338, 610, 67, 23, 20, 23, 6, 338, 38181, 67, 24, 20, 24, 6, 465, 610, 67, 25, 20, 25, 6, 465, 3168, 2617, 1058, 618, 444, 22615, 448, 318, 67, 1077, 289, 322, 22, 338, 610, 67, 23, 20, 23, 6, 465, 610, 67, 25, 20, 25, 6, 338, 3168, 1179, 465, 296, 13, 93, 338, 610, 67, 24, 20, 24, 6, 465, 610, 67, 26, 20, 26, 6, 338, 3168, 5334, 928, 529, 275, 17488, 10665, 348, 3615, 13, 93, 14, 329, 3698, 13, 93, 14, 8866, 19, 204, 204, 658, 1687, 2958, 31, 32484, 14712, 677, 2089, 204, 25835, 677, 2089, 3584, 496, 318, 67, 78, 3080, 465, 368, 289, 500, 19, 19151, 610, 289, 5780, 1025, 275, 1581, 318, 67, 1077, 289, 3615, 13, 93, 14, 465, 296, 3698, 13, 93, 659, 572, 636, 318, 67, 78, 3080, 289, 3615, 13, 3080, 14, 465, 296, 3698, 13, 3080, 14, 289, 338, 22, 465, 500, 78, 289, 338, 22, 19, 6263, 17, 318, 67, 78, 3080, 465, 368, 289, 338, 22, 465, 368, 289, 500, 19, 0, 837, 2247, 4832, 17, 1429, 302, 275, 1901, 4130, 578, 24666, 302, 415, 447, 27839, 6802, 275, 1043, 28165, 302, 2075, 1784, 3472, 8934, 8013, 17, 22868, 19, 334, 1627, 6999, 970, 302, 2745, 46192, 4382, 18, 34077, 21773, 88, 17, 17747, 21986, 44874, 329, 45668, 3418, 26244, 19, 27440, 6999, 6901, 3899, 2351, 17, 41127, 23572, 17, 6901, 8708, 16959, 17, 23071, 26424, 405, 17, 329, 14083, 27996, 19, 204, 5019, 1704, 2941, 292, 8934, 8013, 17, 27996, 22718, 273, 24967, 2192, 496, 2080, 1742, 10342, 497, 10676, 19, 7609, 15056, 5287, 26519, 291, 3899, 2351, 17, 273, 45024, 302, 6901, 3899, 2351, 17, 22062, 275, 2192, 292, 23143, 31, 204, 12124, 7584, 2181, 874, 17, 523, 275, 24639, 302, 690, 17, 43049, 569, 12563, 2767, 573, 2854, 25932, 1085, 302, 808, 12301, 292, 29169, 346, 478, 17, 1101, 355, 8537, 311, 732, 830, 302, 490, 19, 5860, 2238, 17, 566, 15257, 17, 1466, 508, 9631, 39864, 19, 3665, 618, 1151, 2767, 573, 2854, 677, 6943, 329, 1182, 1465, 275, 10033, 24967, 2192, 292, 8934, 8013, 630, 5672, 1346, 331, 44642, 292, 20002, 19, 204, 30186, 971, 17, 440, 1017, 47877, 1286, 329, 306, 8918, 17, 3522, 38308, 17, 13448, 5394, 6, 204, 29459, 18795, 29894, 1043, 8417, 292, 808, 8620, 1567, 470, 17, 204, 5055, 863, 10948, 497, 275, 8006, 10701, 275, 8469, 19, 204, 5681, 331, 3756, 2077, 284, 1750, 46799, 21801, 82, 21670, 88, 3891, 17, 204, 1449, 1193, 437, 26701, 292, 808, 15028, 3623, 19, 204, 11142, 1250, 329, 1017, 88, 4230, 1020, 273, 33655, 2941, 5323, 204, 38, 7399, 38719, 497, 43692, 677, 1922, 19, 204, 13203, 432, 2096, 8072, 2482, 3522, 874, 7568, 5501, 17, 204, 7002, 3848, 17, 13448, 5394, 17, 38308, 37379, 4418, 292, 275, 2481, 204, 11142, 27996, 677, 1922, 3756, 4968, 44274, 292, 1704, 2344, 5323, 204, 2021, 794, 285, 15358, 38423, 302, 1704, 10165, 204, 7002, 690, 5323, 302, 3153, 17, 2077, 13374, 6388, 35704, 17, 1330, 204, 13239, 6900, 497, 415, 447, 27839, 287, 12, 270, 329, 22986, 3237, 5323, 204, 5058, 2351, 17, 21986, 44874, 17, 23572, 17, 329, 904, 37443, 4757, 17, 204, 6617, 1518, 1987, 1017, 24354, 9356, 311, 48632, 74, 19, 204, 18984, 1910, 273, 10865, 308, 821, 2513, 329, 306, 339, 569, 26810, 204, 25245, 3153, 34892, 742, 323, 308, 2460, 88, 874, 306, 5228, 329, 21728, 1588, 204, 11594, 15056, 440, 1017, 8907, 73, 624, 560, 874, 7568, 17, 204, 7002, 15810, 874, 1742, 9596, 329, 10564, 19, 204, 7002, 1910, 273, 21781, 2192, 869, 2080, 1163, 5251, 19, 204, 6114, 4189, 1163, 1069, 1288, 17, 329, 41067, 1163, 2344, 32, 204, 7002, 4230, 94, 30429, 329, 9866, 45344, 302, 275, 7625, 204, 23158, 13069, 329, 18390, 5311, 17, 10564, 329, 7568, 5501, 19, 204, 2841, 3756, 274, 38308, 10762, 292, 2666, 302, 47868, 394, 2475, 19, 204, 673, 15005, 1382, 3054, 302, 19841, 677, 12178, 2192, 17, 5323, 204, 7002, 1330, 2077, 28621, 363, 35704, 10068, 1017, 7977, 204, 1449, 6584, 1017, 3477, 677, 40710, 1750, 29945, 6, 204, 30631, 690, 869, 14637, 13697, 29894, 308, 2460, 88, 17, 13448, 46799, 21801, 82, 5394, 6, 204, 7002, 12365, 336, 44274, 440, 275, 2308, 302, 1910, 2181, 32, 204, 35395, 17, 4210, 275, 11302, 14629, 302, 2523, 17, 29894, 29010, 572, 3020, 19, 204, 7002, 25939, 3848, 29894, 13943, 737, 7969, 6644, 19, 204, 59, 674, 578, 12260, 1446, 302, 2077, 1782, 494, 302, 469, 573, 6, 204, 18365, 1475, 38308, 43706, 8942, 3307, 677, 1069, 1288, 2590, 32, 204, 7002, 1330, 17, 2090, 1475, 17, 29894, 3054, 529, 7568, 329, 287, 12, 270, 17, 204, 7990, 2238, 1741, 1340, 29894, 317, 697, 1947, 13697, 11556, 6721, 19, 0, 531, 1498, 532, 783, 204, 647, 18804, 204, 531, 5920, 532, 8909, 204, 204, 676, 17702, 15273, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1040, 275, 542, 302, 10797, 1174, 848, 917, 19, 204, 264, 320, 204, 204, 264, 436, 1040, 68, 22793, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4395, 1728, 31, 783, 64, 1218, 64, 339, 4097, 393, 783, 64, 339, 744, 204, 268, 320, 204, 268, 10607, 275, 542, 302, 10797, 1174, 848, 917, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 17, 1273, 848, 4392, 353, 6717, 448, 273, 458, 302, 970, 1892, 17, 551, 1205, 17, 1853, 1664, 204, 305, 1728, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1728, 17, 1273, 848, 917, 353, 6717, 448, 273, 458, 302, 970, 1892, 17, 551, 93, 17, 469, 1664, 204, 204, 268, 475, 31, 204, 305, 783, 64, 339, 744, 332, 458, 302, 1892, 17, 1273, 848, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1534, 4504, 275, 542, 302, 10797, 1174, 275, 3310, 917, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 10797, 521, 1728, 529, 2872, 19, 204, 268, 320, 204, 268, 314, 778, 397, 537, 353, 1097, 204, 268, 370, 806, 5542, 68, 768, 13, 22793, 17, 1728, 14, 204, 204, 268, 314, 4641, 10797, 560, 1853, 204, 268, 2282, 68, 22793, 289, 2282, 13, 22793, 17, 896, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 268, 4392, 68, 1608, 289, 370, 806, 1510, 68, 9670, 68, 1608, 13, 5518, 68, 22793, 14, 204, 204, 268, 314, 3398, 10797, 348, 848, 917, 204, 268, 407, 551, 327, 806, 765, 68, 22793, 68, 1538, 68, 1096, 13, 9670, 68, 1608, 17, 610, 17, 469, 14, 348, 610, 17, 469, 292, 1728, 66, 204, 204, 264, 436, 906, 5542, 68, 768, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4395, 1728, 31, 783, 64, 1218, 64, 339, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 11149, 275, 537, 10797, 329, 1728, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 19, 204, 305, 1728, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1728, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 10797, 521, 1728, 529, 2872, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 22793, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 9670, 17, 458, 14, 329, 1245, 13, 9670, 14, 564, 435, 348, 4392, 292, 10797, 330, 204, 305, 980, 987, 499, 1962, 10797, 537, 431, 204, 268, 397, 508, 2381, 13, 2160, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 1096, 17, 458, 14, 329, 1245, 13, 1096, 14, 564, 435, 348, 917, 292, 1728, 330, 204, 305, 980, 987, 499, 1962, 1728, 537, 431, 204, 204, 264, 436, 906, 1510, 68, 9670, 68, 1608, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4097, 393, 8909, 31, 204, 268, 320, 204, 268, 2605, 273, 2304, 302, 10797, 17, 1273, 848, 896, 353, 273, 1853, 329, 275, 700, 353, 273, 458, 302, 5466, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 19, 204, 204, 268, 475, 31, 204, 305, 8909, 31, 332, 2304, 302, 10797, 19, 204, 268, 320, 204, 268, 4392, 68, 1608, 289, 8909, 13, 655, 14, 204, 268, 348, 1277, 17, 1853, 292, 10797, 31, 204, 305, 4392, 68, 1608, 64, 2757, 1664, 1223, 13, 1205, 14, 204, 268, 407, 4392, 68, 1608, 204, 204, 264, 436, 906, 765, 68, 22793, 68, 1538, 68, 1096, 13, 327, 17, 4392, 68, 1608, 31, 8909, 17, 610, 31, 421, 17, 469, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 10607, 275, 542, 302, 10797, 1174, 273, 917, 19, 204, 204, 268, 457, 31, 204, 305, 4392, 68, 1608, 322, 48950, 330, 332, 2304, 302, 10797, 19, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 917, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 917, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 10797, 1174, 275, 917, 19, 204, 268, 320, 204, 268, 1040, 289, 500, 204, 268, 348, 1853, 17, 27935, 292, 4392, 68, 1608, 19, 1996, 1293, 204, 305, 397, 1853, 3721, 469, 31, 204, 485, 1040, 1412, 1245, 13, 26800, 14, 338, 18804, 19, 71, 43778, 13, 26800, 17, 610, 338, 368, 14, 204, 268, 407, 1040, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 4328, 289, 17702, 15273, 374, 204, 264, 10797, 289, 5787, 23, 17, 571, 648, 551, 22, 17, 435, 648, 551, 23, 17, 720, 2629, 204, 264, 1728, 289, 5787, 23, 17, 368, 648, 551, 22, 17, 681, 2629, 204, 264, 722, 289, 4328, 19, 765, 68, 22793, 13, 22793, 17, 1728, 14, 204, 264, 456, 13, 1300, 14, 204, 0, 3728, 353, 275, 5312, 302, 3698, 67, 23, 13, 93, 14369, 204, 204, 673, 5312, 302, 3698, 67, 23, 13, 93, 14, 440, 4130, 311, 610, 618, 444, 14406, 974, 4109, 12458, 18387, 329, 9432, 9021, 19, 5028, 3979, 353, 311, 732, 275, 6246, 2746, 6572, 348, 10362, 17, 928, 3584, 496, 3698, 13, 23, 5907, 14, 289, 435, 2883, 13, 5907, 14, 2809, 13, 5907, 789, 23395, 808, 6572, 311, 3698, 67, 23, 13, 93, 659, 572, 874, 31, 204, 204, 2883, 67, 23, 13, 93, 14, 289, 322, 22, 20, 23, 3085, 22, 2317, 3615, 13, 23, 93, 602, 204, 204, 4063, 17, 572, 618, 14900, 3018, 560, 3018, 31, 204, 204, 11835, 2883, 67, 23, 13, 93, 14, 4992, 289, 22985, 22, 20, 23, 3085, 22, 2317, 3615, 13, 23, 93, 602, 4992, 204, 34, 322, 22, 20, 23, 14, 22985, 22, 2317, 3615, 13, 23, 93, 602, 4992, 204, 34, 322, 22, 20, 23, 3085, 93, 2317, 322, 22, 20, 23, 14, 2883, 13, 23, 93, 602, 465, 346, 204, 204, 3663, 346, 353, 275, 3324, 302, 9432, 19, 204, 204, 4356, 17, 275, 5312, 302, 3698, 67, 23, 13, 93, 14, 353, 322, 22, 20, 23, 3085, 93, 2317, 322, 22, 20, 23, 14, 2883, 13, 23, 93, 602, 465, 346, 17, 1273, 346, 353, 273, 3324, 19, 0, 647, 6032, 448, 1774, 204, 204, 676, 22108, 890, 31, 204, 264, 320, 204, 264, 332, 850, 348, 8397, 10418, 329, 3666, 348, 8534, 18, 2607, 3100, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4625, 31, 458, 17, 1781, 68, 3815, 31, 458, 289, 443, 17, 15467, 31, 421, 289, 571, 330, 204, 268, 320, 204, 268, 977, 275, 22108, 890, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 4625, 31, 332, 458, 302, 1781, 1987, 322, 74, 19, 76, 2458, 388, 12499, 528, 388, 11180, 5561, 204, 268, 338, 1781, 68, 3815, 31, 332, 458, 302, 1781, 3093, 19, 204, 268, 338, 15467, 31, 334, 542, 302, 4048, 6759, 311, 4672, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 204, 268, 338, 1781, 68, 998, 31, 334, 1112, 302, 275, 1781, 19, 204, 268, 338, 7180, 31, 332, 458, 302, 4410, 7180, 1769, 19, 204, 268, 338, 6178, 31, 332, 458, 302, 3908, 1769, 19, 204, 268, 338, 3093, 31, 332, 458, 302, 3093, 348, 275, 1781, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 397, 1245, 13, 3815, 330, 204, 485, 3093, 289, 1774, 19, 633, 68, 996, 13, 2987, 19, 16916, 13, 2987, 19, 20005, 13, 9319, 64, 21, 648, 500, 19, 3694, 204, 268, 827, 3660, 31, 204, 305, 3093, 289, 1774, 19, 3535, 13, 9319, 64, 2607, 68, 998, 1664, 1827, 17, 1774, 19, 2107, 14, 204, 204, 268, 370, 19, 2650, 68, 8765, 68, 2607, 64, 2607, 68, 998, 66, 289, 1774, 19, 12667, 19, 3037, 68, 8899, 68, 718, 13, 9319, 64, 2607, 68, 998, 648, 6178, 64, 2607, 68, 998, 648, 3093, 34, 3815, 14, 204, 204, 264, 436, 636, 68, 2650, 13, 327, 17, 1781, 68, 998, 31, 421, 289, 443, 14, 393, 1774, 19, 1556, 31, 204, 268, 320, 204, 268, 763, 275, 2210, 348, 273, 1781, 521, 275, 8926, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1781, 68, 998, 31, 334, 1112, 302, 275, 1781, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2210, 348, 275, 1781, 521, 275, 8926, 2210, 19, 204, 268, 320, 204, 268, 397, 1781, 68, 998, 353, 508, 443, 31, 204, 305, 407, 370, 19, 2650, 68, 8765, 68, 2607, 64, 2607, 68, 998, 66, 204, 268, 407, 370, 19, 2650, 204, 204, 264, 436, 636, 68, 5232, 68, 325, 13, 327, 17, 1112, 31, 421, 17, 7060, 31, 1135, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 273, 782, 2355, 302, 275, 4685, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1112, 31, 334, 1112, 302, 275, 4685, 19, 204, 268, 338, 7060, 31, 332, 955, 302, 4685, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 782, 2355, 302, 275, 4685, 19, 204, 268, 320, 204, 268, 7060, 68, 325, 289, 388, 2576, 1660, 2087, 14727, 2948, 2478, 13, 998, 14, 204, 268, 7060, 68, 325, 289, 11465, 98, 8926, 2210, 31, 22211, 24, 75, 14303, 2478, 13, 5232, 68, 325, 17, 7060, 1166, 13064, 18, 2607, 3808, 204, 204, 268, 348, 296, 17, 1781, 292, 3209, 13, 327, 19, 6381, 330, 204, 305, 7060, 68, 325, 289, 11465, 98, 2087, 31, 22211, 24, 75, 14303, 2478, 13, 5232, 68, 325, 17, 1781, 17, 7060, 1166, 8765, 18, 2607, 10895, 78, 694, 204, 204, 305, 397, 7060, 1166, 5893, 10895, 78, 66, 2167, 338, 22, 31, 204, 485, 7060, 68, 325, 289, 11465, 98, 8267, 4567, 24, 75, 1937, 2948, 2478, 13, 5232, 68, 325, 17, 7060, 1166, 5893, 10895, 78, 694, 204, 204, 268, 407, 7060, 68, 325, 204, 204, 264, 436, 636, 68, 5232, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 763, 275, 4685, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 302, 4685, 19, 204, 268, 320, 204, 268, 407, 2832, 13064, 18, 2607, 559, 370, 19, 2650, 17, 388, 8765, 18, 2607, 559, 370, 19, 2650, 68, 8765, 68, 2607, 17, 388, 5893, 559, 370, 19, 8765, 68, 2607, 68, 24620, 98, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 22108, 890, 726, 204, 264, 4625, 289, 3134, 12499, 528, 388, 11180, 1339, 204, 264, 10418, 289, 22108, 890, 13, 6381, 14, 204, 204, 264, 314, 666, 1429, 11330, 424, 204, 264, 7180, 289, 551, 2987, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 5060, 1774, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 19094, 204, 264, 6178, 289, 551, 2987, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 931, 5060, 1774, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 19094, 204, 204, 264, 314, 1716, 275, 10418, 329, 3666, 204, 264, 10418, 19, 2045, 13, 9319, 17, 6178, 14, 204, 204, 264, 314, 763, 275, 4685, 204, 264, 7060, 289, 10418, 19, 505, 68, 5232, 374, 204, 264, 456, 13, 12667, 19, 505, 68, 5232, 68, 325, 13, 21, 17, 7060, 602, 204, 0, 52, 2157, 4402, 1674, 9352, 13427, 3079, 3354, 4409, 36356, 1674, 7161, 1999, 9352, 408, 854, 48151, 13464, 14168, 31194, 11104, 408, 4296, 3560, 854, 2499, 4402, 1674, 4758, 7228, 2034, 9352, 3500, 1579, 3079, 3354, 4409, 460, 408, 11012, 4762, 23136, 7386, 5784, 408, 3359, 12256, 1990, 45369, 5788, 3622, 42489, 568, 204, 52, 2157, 4402, 1674, 9352, 19859, 40334, 4044, 408, 831, 4044, 854, 41458, 28271, 408, 831, 4044, 854, 2134, 3965, 28271, 408, 41458, 28271, 4402, 1674, 9352, 6395, 29495, 5890, 5851, 43724, 1719, 14277, 82, 1227, 1511, 14277, 82, 460, 408, 2134, 3965, 28271, 4402, 1674, 9352, 15856, 2051, 14277, 82, 725, 25547, 14277, 82, 725, 2825, 14277, 82, 460, 568, 204, 25, 725, 2657, 11153, 1734, 108, 4402, 408, 11153, 39075, 27834, 4402, 460, 19591, 408, 408, 9145, 39075, 460, 10716, 40812, 12690, 9057, 10853, 4562, 568, 204, 52, 2157, 4402, 1674, 9352, 11698, 29495, 5890, 1432, 6883, 2065, 12145, 8437, 408, 5757, 22983, 41458, 2815, 48151, 13464, 725, 2134, 3965, 2815, 48151, 13464, 725, 26073, 38005, 15865, 3455, 725, 4139, 4106, 13464, 47289, 725, 10222, 3708, 47289, 725, 31801, 47289, 725, 41558, 725, 13749, 5958, 8802, 14486, 10000, 30760, 1955, 17515, 28870, 12256, 1990, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 647, 2010, 448, 645, 204, 531, 9325, 19, 15773, 19, 11450, 532, 19240, 3436, 204, 647, 1875, 204, 204, 8, 4861, 204, 14061, 68, 12051, 68, 18512, 56, 289, 2753, 204, 204, 676, 2656, 43594, 8865, 299, 1252, 41710, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 8789, 2696, 311, 3612, 1609, 523, 27788, 14491, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 4497, 68, 1663, 1164, 1246, 19, 1362, 204, 268, 334, 4497, 1525, 19, 204, 264, 1184, 68, 4591, 1164, 1246, 19, 1362, 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, 334, 1184, 3688, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4497, 68, 1663, 31, 1246, 19, 1362, 17, 1184, 68, 4591, 31, 1246, 19, 1362, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 2656, 43594, 8865, 299, 1252, 41710, 570, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 4497, 68, 1663, 322, 2600, 19, 1362, 330, 334, 4497, 1525, 19, 204, 268, 1184, 68, 4591, 322, 2600, 19, 1362, 17, 1448, 330, 334, 1184, 3688, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 370, 19, 7655, 68, 1663, 289, 4497, 68, 1663, 204, 268, 370, 19, 1271, 68, 4591, 289, 1184, 68, 4591, 204, 204, 264, 436, 8789, 68, 1996, 13, 327, 17, 575, 68, 359, 31, 421, 17, 2696, 68, 633, 68, 12286, 31, 458, 289, 7541, 1913, 83, 31, 421, 289, 931, 17, 2874, 31, 1109, 289, 1078, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 35515, 2696, 348, 273, 800, 575, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 575, 68, 359, 322, 339, 330, 334, 575, 1222, 19, 204, 268, 2696, 68, 633, 68, 12286, 322, 655, 17, 1448, 330, 334, 2696, 311, 8809, 19, 1243, 311, 44138, 204, 268, 1913, 83, 322, 339, 17, 1448, 330, 334, 542, 302, 2696, 311, 8789, 19, 1243, 311, 931, 19, 204, 268, 2874, 322, 2107, 17, 1448, 330, 2266, 311, 2255, 1184, 3688, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 1246, 19, 1362, 31, 334, 10290, 2696, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2282, 575, 3705, 204, 268, 2282, 68, 816, 68, 7381, 289, 370, 19, 7655, 68, 1663, 64, 816, 68, 359, 1664, 2975, 68, 1309, 13, 30940, 34, 1975, 789, 7142, 68, 998, 1528, 14925, 13, 3786, 2508, 816, 68, 359, 31, 379, 4749, 68, 6124, 10419, 204, 204, 268, 314, 4863, 685, 2696, 311, 8809, 329, 636, 275, 1913, 392, 14815, 204, 268, 14815, 68, 1695, 289, 2282, 68, 816, 68, 7381, 35499, 5518, 68, 816, 68, 7381, 736, 41272, 3750, 24773, 13, 1996, 68, 633, 68, 12286, 26886, 2975, 68, 1309, 611, 4749, 68, 6124, 491, 9472, 34, 1975, 789, 1885, 13, 2723, 83, 14, 204, 204, 268, 314, 828, 2874, 17, 2255, 1184, 3688, 204, 268, 397, 2874, 31, 204, 305, 397, 370, 19, 1271, 68, 4591, 353, 443, 31, 204, 485, 980, 987, 46728, 1271, 3688, 7, 353, 1945, 292, 2874, 2291, 534, 204, 305, 14815, 68, 1695, 289, 1246, 19, 9709, 13, 327, 19, 1271, 68, 4591, 17, 14815, 68, 1695, 17, 523, 833, 41272, 9520, 736, 41272, 491, 379, 4749, 68, 6124, 491, 379, 1778, 29385, 2975, 68, 1309, 611, 4749, 68, 6124, 491, 9472, 34, 1975, 14, 204, 204, 268, 407, 14815, 68, 1695, 204, 204, 204, 461, 1137, 68, 1271, 68, 4591, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1184, 3688, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 510, 68, 546, 322, 325, 330, 334, 510, 832, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1135, 31, 334, 1184, 3688, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 1875, 68, 553, 31, 204, 268, 424, 289, 1875, 19, 986, 13, 1775, 68, 553, 14, 204, 264, 3688, 289, 463, 42088, 1166, 41272, 8682, 37106, 1166, 1778, 1339, 348, 37106, 292, 424, 98, 204, 264, 407, 3688, 204, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 510, 68, 546, 322, 325, 330, 334, 510, 832, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 424, 19, 204, 264, 320, 204, 264, 407, 1246, 19, 976, 68, 1775, 13, 553, 68, 546, 14, 204, 204, 204, 461, 838, 68, 18419, 68, 1867, 13, 6124, 68, 1695, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 666, 273, 8371, 1435, 497, 275, 6374, 424, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 6374, 68, 1695, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 8371, 1435, 19, 204, 264, 320, 204, 264, 407, 6374, 68, 1695, 19, 18419, 68, 1867, 13, 998, 833, 48902, 1701, 491, 2630, 833, 41272, 491, 1019, 833, 6124, 491, 5233, 68, 876, 34, 21, 14, 204, 204, 204, 461, 838, 68, 982, 43594, 68, 2741, 299, 68, 809, 13, 6124, 68, 1695, 31, 1246, 19, 1362, 17, 771, 68, 10485, 31, 421, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 666, 273, 27788, 14491, 570, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 6374, 68, 1695, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 264, 771, 68, 10485, 322, 339, 330, 334, 542, 302, 3857, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 4497, 1525, 19, 204, 264, 320, 204, 264, 314, 666, 273, 8371, 1435, 497, 275, 6374, 424, 204, 264, 3612, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 289, 838, 68, 18419, 68, 1867, 13, 6124, 68, 1695, 14, 204, 204, 264, 314, 2208, 275, 8371, 1435, 311, 273, 1525, 204, 264, 3612, 68, 1996, 68, 18419, 68, 1663, 289, 3612, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 402, 68, 1663, 374, 204, 204, 264, 314, 763, 275, 575, 4192, 204, 264, 3612, 68, 1915, 289, 458, 13, 4162, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 998, 14, 204, 204, 264, 314, 3055, 32828, 311, 5695, 275, 23601, 204, 264, 548, 17, 9115, 17, 628, 89, 289, 19240, 3436, 13, 4162, 68, 1996, 68, 18419, 68, 1663, 17, 724, 34, 920, 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, 10485, 14, 204, 264, 9115, 289, 645, 19, 9946, 13, 8456, 14, 204, 204, 264, 314, 888, 275, 3908, 10161, 204, 264, 830, 68, 816, 68, 10609, 68, 12216, 289, 645, 19, 3005, 13, 1123, 19, 3005, 13, 58, 17, 9115, 659, 628, 89, 14, 204, 204, 264, 314, 666, 273, 3135, 497, 275, 3908, 10161, 204, 264, 28877, 68, 19485, 68, 1695, 289, 1246, 19, 1362, 13, 668, 68, 816, 68, 10609, 68, 12216, 17, 2630, 34, 4162, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 3786, 17, 1112, 34, 4162, 68, 1915, 789, 12905, 374, 204, 204, 264, 407, 28877, 68, 19485, 68, 1695, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 510, 3630, 204, 264, 3688, 68, 553, 68, 546, 289, 5014, 10669, 20, 612, 79, 1257, 93, 266, 20, 4434, 20, 13799, 8451, 26, 7298, 20, 8967, 20, 5145, 70, 26, 7298, 20, 481, 20, 10975, 68, 6656, 68, 481, 19, 1775, 12, 204, 264, 6374, 68, 553, 68, 546, 289, 5014, 10669, 20, 612, 79, 1257, 93, 266, 20, 4434, 20, 13799, 8451, 26, 7298, 20, 8967, 20, 5145, 70, 26, 7298, 20, 481, 20, 804, 68, 4971, 68, 6656, 68, 481, 19, 1775, 12, 204, 204, 264, 314, 1385, 275, 3688, 329, 6374, 424, 204, 264, 3688, 68, 1695, 289, 1137, 68, 481, 13, 4591, 68, 553, 68, 546, 14, 204, 264, 6374, 68, 1695, 289, 1137, 68, 481, 13, 6124, 68, 553, 68, 546, 14, 204, 204, 264, 314, 666, 275, 27788, 14491, 570, 204, 264, 28877, 68, 19485, 68, 1695, 289, 838, 68, 982, 43594, 68, 2741, 299, 68, 809, 13, 6124, 68, 1695, 17, 37213, 68, 12051, 68, 18512, 56, 14, 204, 204, 264, 314, 666, 275, 48566, 570, 204, 264, 570, 289, 2656, 43594, 8865, 299, 1252, 41710, 13, 10815, 68, 19485, 68, 1695, 17, 3688, 68, 1695, 14, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 1449, 2616, 275, 800, 3779, 17, 572, 1120, 2280, 490, 1873, 1025, 970, 3576, 19, 204, 204, 1380, 5565, 368, 31, 12748, 275, 23596, 13288, 204, 204, 673, 800, 6884, 1581, 353, 31, 204, 23, 93, 3231, 465, 720, 93, 465, 571, 289, 500, 204, 204, 2310, 618, 2616, 808, 1581, 560, 23130, 521, 23149, 275, 2415, 19, 716, 204, 777, 10672, 368, 31, 31559, 777, 204, 204, 673, 1581, 618, 444, 22030, 448, 31, 204, 23, 93, 3231, 465, 435, 93, 465, 571, 93, 465, 571, 289, 500, 204, 23, 93, 13, 93, 465, 368, 14, 465, 571, 13, 93, 465, 368, 14, 289, 500, 204, 13, 23, 93, 465, 571, 3085, 93, 465, 368, 14, 289, 500, 204, 204, 1834, 4658, 451, 970, 2237, 5169, 31, 204, 93, 289, 338, 24, 20, 23, 521, 610, 289, 338, 22, 204, 204, 777, 10672, 435, 31, 9018, 1693, 275, 9748, 777, 204, 204, 1449, 4151, 275, 2415, 17, 572, 1043, 636, 14119, 302, 275, 3324, 3018, 31, 204, 23, 93, 3231, 465, 720, 93, 289, 338, 24, 204, 204, 9538, 17, 572, 2479, 685, 275, 5514, 302, 610, 3231, 31, 204, 23, 13, 93, 3231, 465, 720, 20, 23, 93, 14, 289, 338, 24, 204, 204, 12219, 17, 572, 881, 322, 25140, 275, 18271, 14, 4315, 302, 275, 4876, 3018, 8030, 31, 204, 23, 13, 93, 3231, 465, 720, 20, 23, 93, 465, 2019, 20, 1845, 14, 289, 338, 24, 465, 2019, 20, 29, 204, 204, 1834, 11388, 311, 31, 204, 23, 13, 93, 465, 720, 20, 25, 14, 3231, 289, 368, 20, 29, 204, 204, 20367, 1855, 2902, 560, 435, 31, 204, 13, 93, 465, 720, 20, 25, 14, 3231, 289, 368, 20, 1845, 204, 204, 24331, 275, 2415, 1610, 302, 1855, 2902, 31, 204, 93, 465, 720, 20, 25, 289, 8455, 22, 20, 25, 204, 204, 11471, 348, 610, 31, 204, 93, 289, 338, 26, 20, 25, 8455, 368, 20, 25, 204, 204, 1834, 4658, 451, 970, 2237, 5169, 31, 204, 93, 289, 338, 24, 20, 23, 521, 610, 289, 338, 22, 204, 204, 1380, 5565, 435, 31, 12748, 275, 45174, 18, 43339, 13288, 204, 204, 673, 800, 1581, 353, 31, 204, 93, 48359, 338, 681, 93, 9435, 338, 681, 4656, 289, 500, 204, 204, 2310, 529, 10571, 496, 273, 1988, 12034, 1283, 610, 289, 571, 19, 27, 329, 610, 289, 571, 19, 29, 19, 716, 204, 4592, 275, 1581, 353, 273, 17555, 18, 9210, 1581, 17, 490, 2950, 444, 9900, 6488, 974, 20482, 2986, 19, 3355, 17, 572, 618, 732, 8247, 2986, 311, 1020, 437, 13356, 1988, 19, 204, 204, 5842, 1702, 1216, 353, 275, 12841, 380, 1216, 521, 12462, 677, 1216, 19, 3355, 17, 275, 4710, 3214, 348, 1605, 2986, 529, 508, 6680, 3237, 17, 1101, 275, 6733, 353, 311, 34761, 6024, 437, 1419, 6255, 3119, 572, 25717, 311, 273, 1988, 19, 204, 204, 4931, 273, 8247, 1216, 521, 273, 6506, 17, 572, 618, 1020, 275, 1988, 311, 275, 1581, 610, 48359, 338, 681, 93, 9435, 338, 681, 4656, 289, 500, 17, 10205, 311, 435, 4048, 6759, 19, 716, 204, 7108, 31, 334, 4710, 1988, 1216, 353, 508, 1917, 3237, 17, 1101, 490, 5628, 974, 273, 8247, 1216, 1702, 448, 275, 12841, 380, 1216, 521, 12462, 677, 1216, 311, 1020, 275, 1610, 302, 275, 1581, 19, 0, 8, 265, 3278, 1011, 20, 3968, 19, 948, 204, 204, 315, 204, 3778, 1586, 348, 275, 265, 3278, 1011, 1650, 19, 204, 204, 1834, 2413, 8913, 275, 1274, 3758, 348, 275, 265, 3278, 1011, 1650, 19, 204, 315, 204, 204, 531, 1907, 19, 3968, 532, 832, 204, 531, 2617, 532, 5020, 204, 204, 8, 968, 273, 458, 302, 1274, 3758, 348, 275, 1650, 204, 11326, 31, 458, 289, 551, 204, 264, 314, 1274, 2679, 348, 275, 2941, 1472, 204, 264, 832, 14945, 5020, 19, 5164, 17, 588, 833, 5164, 2008, 204, 264, 314, 1274, 2679, 348, 275, 1465, 1472, 204, 264, 832, 611, 12519, 4750, 5020, 19, 12519, 17, 588, 833, 12519, 2008, 204, 264, 314, 1274, 2679, 348, 273, 3754, 1472, 322, 2569, 302, 5209, 1182, 3758, 14, 204, 264, 832, 611, 6451, 4750, 5020, 19, 6451, 17, 588, 833, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6451, 2008, 204, 66, 204, 204, 8, 1165, 1265, 31, 204, 8, 2416, 881, 273, 717, 1274, 2679, 17, 7493, 6283, 273, 717, 832, 311, 275, 26760, 458, 19, 204, 8, 1765, 1763, 17, 311, 881, 273, 1274, 2679, 348, 273, 30333, 1472, 31, 204, 8, 832, 611, 1150, 86, 4750, 5020, 19, 1150, 86, 17, 588, 833, 1150, 86, 2008, 204, 0, 676, 7065, 989, 31, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 2667, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 268, 5043, 68, 14746, 322, 339, 330, 334, 575, 677, 5043, 4815, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 575, 68, 359, 31, 421, 17, 5043, 68, 14746, 31, 421, 289, 7569, 330, 204, 268, 320, 204, 268, 1865, 273, 7065, 989, 726, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 305, 5043, 68, 14746, 322, 339, 17, 1448, 330, 334, 575, 677, 5043, 4815, 19, 1243, 311, 7569, 19, 204, 268, 320, 204, 268, 370, 19, 816, 68, 359, 289, 575, 68, 359, 204, 268, 370, 19, 32820, 68, 14746, 289, 5043, 68, 14746, 204, 204, 264, 436, 1395, 68, 32820, 68, 14746, 13, 327, 17, 717, 68, 32820, 68, 14746, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 575, 677, 5043, 4815, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 32820, 68, 14746, 322, 339, 330, 334, 717, 5043, 4815, 700, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 5043, 4815, 353, 273, 1097, 1534, 204, 268, 397, 508, 2381, 13, 1957, 68, 32820, 68, 14746, 17, 421, 330, 204, 305, 980, 987, 499, 46747, 4815, 1631, 444, 437, 1534, 431, 204, 822, 268, 314, 1716, 275, 5043, 4815, 204, 268, 370, 19, 32820, 68, 14746, 289, 717, 68, 32820, 68, 14746, 204, 204, 264, 436, 636, 68, 32820, 68, 14746, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3596, 275, 575, 677, 790, 5043, 4815, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 575, 677, 790, 5043, 4815, 19, 204, 268, 320, 204, 268, 407, 370, 19, 32820, 68, 14746, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 7065, 989, 726, 204, 264, 575, 68, 481, 289, 7065, 989, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 1419, 5043, 4815, 204, 264, 456, 13, 75, 7, 6238, 5043, 4815, 31, 463, 816, 68, 481, 19, 505, 68, 32820, 68, 14746, 8050, 204, 204, 264, 314, 1716, 275, 5043, 4815, 204, 264, 575, 68, 481, 19, 2045, 68, 32820, 68, 14746, 13, 17507, 14, 204, 204, 264, 314, 1198, 275, 2908, 5043, 4815, 204, 264, 456, 13, 75, 7, 10510, 5043, 4815, 31, 463, 816, 68, 481, 19, 505, 68, 32820, 68, 14746, 8050, 204, 0, 531, 1498, 532, 1884, 17, 1061, 17, 783, 204, 204, 676, 5496, 23921, 31, 204, 264, 436, 589, 924, 889, 327, 17, 1104, 68, 417, 31, 394, 17, 3599, 68, 417, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 5496, 23921, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 268, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 19, 204, 268, 320, 204, 268, 370, 19, 2819, 68, 417, 289, 1104, 68, 417, 204, 268, 370, 19, 5763, 68, 417, 289, 3599, 68, 417, 204, 204, 264, 436, 1451, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 23763, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 1451, 275, 1104, 1727, 204, 268, 1879, 204, 204, 264, 436, 2694, 68, 5404, 68, 12484, 68, 3485, 13, 327, 17, 771, 68, 12295, 31, 421, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 27148, 7570, 424, 497, 275, 1104, 440, 273, 2689, 19, 204, 204, 268, 457, 31, 204, 268, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 7570, 424, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2694, 7570, 424, 497, 275, 1104, 204, 268, 1879, 204, 204, 264, 436, 2694, 68, 12061, 68, 45313, 68, 3485, 13, 327, 17, 771, 68, 12295, 31, 421, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 27148, 32278, 497, 275, 1104, 440, 273, 2689, 19, 204, 204, 268, 457, 31, 204, 268, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 302, 32278, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2694, 32278, 497, 275, 1104, 204, 268, 1879, 204, 204, 264, 436, 3671, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20806, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 3671, 275, 1104, 1727, 204, 268, 1879, 204, 204, 204, 461, 3752, 68, 13651, 68, 481, 13, 2819, 68, 417, 31, 394, 17, 3599, 68, 417, 31, 394, 17, 771, 68, 12295, 31, 421, 14, 393, 1884, 64, 1665, 64, 325, 17, 394, 648, 783, 64, 1218, 64, 325, 4395, 421, 744, 204, 264, 320, 204, 264, 11244, 7570, 424, 497, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 19, 204, 264, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 927, 1174, 275, 32278, 955, 17, 275, 7570, 424, 17, 329, 275, 2641, 542, 302, 6973, 15801, 19, 204, 264, 320, 204, 264, 456, 499, 29070, 2484, 32278, 497, 275, 1104, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6911, 7862, 204, 264, 810, 31, 204, 268, 314, 666, 273, 5496, 23921, 1014, 204, 268, 1863, 68, 20003, 289, 5496, 23921, 13, 2819, 68, 417, 17, 3599, 68, 417, 14, 204, 268, 1863, 68, 20003, 19, 3664, 374, 204, 822, 268, 314, 6579, 7570, 424, 329, 32278, 497, 275, 1104, 204, 268, 7570, 68, 481, 289, 1863, 68, 20003, 19, 4637, 68, 5404, 68, 12484, 68, 3485, 13, 920, 68, 12295, 14, 204, 268, 32278, 289, 1863, 68, 20003, 19, 4637, 68, 12061, 68, 45313, 68, 3485, 13, 920, 68, 12295, 14, 204, 822, 268, 314, 3325, 7570, 424, 204, 268, 4050, 68, 481, 289, 906, 1616, 68, 13651, 68, 481, 13, 13651, 68, 481, 17, 32278, 14, 204, 822, 268, 314, 5706, 275, 1104, 1727, 204, 268, 1863, 68, 20003, 19, 3529, 374, 204, 822, 268, 456, 499, 29070, 2484, 32278, 497, 275, 1104, 10689, 7862, 204, 268, 407, 32278, 17, 4050, 68, 481, 17, 1245, 13, 4971, 68, 481, 14, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 10775, 424, 31, 463, 74, 743, 204, 268, 407, 443, 17, 443, 17, 500, 204, 204, 204, 461, 906, 1616, 68, 13651, 68, 481, 13, 13651, 68, 481, 31, 783, 64, 325, 648, 32278, 31, 1061, 64, 325, 17, 394, 694, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 9506, 275, 7570, 424, 19, 204, 204, 264, 457, 31, 204, 264, 338, 7570, 68, 481, 322, 1218, 64, 325, 1037, 334, 7570, 424, 19, 204, 264, 338, 32278, 322, 1665, 64, 325, 17, 394, 1037, 334, 32278, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 458, 302, 4050, 7570, 424, 19, 204, 264, 320, 204, 264, 4050, 68, 481, 289, 1306, 204, 264, 348, 296, 17, 424, 292, 3209, 13, 13651, 68, 481, 330, 204, 268, 810, 31, 204, 305, 314, 3736, 275, 424, 560, 12937, 329, 2081, 685, 1392, 3157, 204, 305, 4050, 68, 481, 19, 1223, 1568, 93, 348, 610, 292, 424, 19, 1590, 22620, 397, 610, 694, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 5539, 424, 630, 1112, 463, 78, 2829, 463, 74, 743, 204, 305, 314, 3182, 3310, 25187, 204, 305, 397, 32278, 31, 204, 485, 32278, 19, 3377, 13, 655, 13, 45313, 19, 3261, 26041, 78, 694, 204, 615, 264, 407, 4050, 68, 481, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1104, 68, 417, 289, 388, 2569, 68, 2819, 7, 204, 264, 3599, 68, 417, 289, 388, 2569, 68, 5763, 7, 204, 264, 771, 68, 12295, 289, 931, 204, 615, 264, 32278, 17, 4050, 68, 481, 17, 771, 68, 75, 33969, 289, 3752, 68, 13651, 68, 481, 13, 2819, 68, 417, 17, 3599, 68, 417, 17, 771, 68, 12295, 14, 204, 264, 456, 13, 75, 7, 3488, 11941, 31, 463, 45313, 743, 204, 264, 456, 13, 75, 7, 29624, 1594, 31, 463, 4971, 68, 481, 743, 204, 264, 456, 13, 75, 7, 4290, 302, 6973, 15801, 31, 463, 920, 68, 75, 33969, 743, 204, 0, 647, 1400, 204, 647, 690, 204, 647, 1127, 204, 204, 461, 456, 68, 2052, 13, 2052, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 790, 1259, 302, 275, 2668, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 22, 7916, 1152, 463, 2052, 64, 23, 7916, 1152, 463, 2052, 64, 24, 7916, 2810, 204, 264, 456, 7783, 18, 16, 42015, 40086, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 25, 7916, 1152, 463, 2052, 64, 26, 7916, 1152, 463, 2052, 64, 27, 7916, 2810, 204, 264, 456, 7783, 18, 16, 42015, 40086, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 28, 7916, 1152, 463, 2052, 64, 29, 7916, 1152, 463, 2052, 64, 30, 7916, 2810, 204, 204, 461, 4199, 68, 5321, 374, 393, 443, 31, 204, 264, 320, 204, 264, 9886, 275, 3645, 329, 456, 275, 1470, 1724, 19, 204, 264, 320, 204, 264, 1127, 19, 4038, 499, 5892, 431, 204, 264, 456, 499, 45662, 313, 3225, 18, 57, 2899, 18, 4403, 42, 10849, 33, 431, 204, 204, 461, 353, 68, 12794, 13, 2052, 31, 1135, 17, 2061, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 800, 2061, 869, 6612, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 268, 2061, 322, 325, 330, 334, 2061, 311, 1356, 348, 322, 30619, 379, 61, 12, 521, 379, 52, 3930, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 2061, 869, 6612, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 9822, 68, 10383, 289, 6229, 22, 17, 435, 17, 571, 659, 322, 25, 17, 720, 17, 887, 659, 322, 28, 17, 1132, 17, 1233, 659, 322, 22, 17, 681, 17, 1168, 659, 322, 23, 17, 720, 17, 1132, 659, 322, 24, 17, 887, 17, 1233, 659, 322, 22, 17, 720, 17, 1233, 659, 322, 24, 17, 720, 17, 1168, 2395, 204, 264, 348, 5660, 292, 9822, 68, 10383, 31, 204, 268, 397, 830, 13, 2052, 64, 78, 66, 564, 2061, 348, 296, 292, 5660, 330, 204, 305, 407, 959, 204, 264, 407, 1078, 204, 204, 461, 636, 68, 6995, 68, 1766, 13, 2052, 31, 1135, 17, 2061, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3867, 273, 2284, 348, 275, 11290, 2061, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 268, 2061, 322, 325, 330, 334, 2061, 311, 1895, 273, 2284, 348, 322, 30619, 379, 61, 12, 521, 379, 52, 3930, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 2284, 7540, 560, 275, 11290, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 11290, 618, 4033, 292, 275, 1682, 2284, 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, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 397, 2668, 64, 78, 66, 564, 388, 23454, 204, 305, 2668, 64, 78, 66, 289, 2061, 204, 305, 397, 353, 68, 12794, 13, 2052, 17, 2061, 330, 204, 485, 2668, 64, 78, 66, 289, 388, 388, 204, 485, 407, 296, 204, 305, 2668, 64, 78, 66, 289, 388, 388, 204, 615, 264, 314, 778, 397, 275, 3651, 2061, 618, 4033, 292, 275, 1682, 2284, 329, 2254, 1475, 204, 264, 13952, 289, 388, 52, 7, 397, 2061, 564, 388, 61, 7, 902, 388, 61, 7, 204, 264, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 397, 2668, 64, 78, 66, 564, 388, 23454, 204, 305, 2668, 64, 78, 66, 289, 13952, 204, 305, 397, 353, 68, 12794, 13, 2052, 17, 13952, 330, 204, 485, 2668, 64, 78, 66, 289, 388, 388, 204, 485, 407, 296, 204, 305, 2668, 64, 78, 66, 289, 388, 388, 204, 615, 264, 314, 3867, 273, 1400, 2284, 204, 264, 2755, 68, 10021, 289, 551, 78, 348, 296, 292, 933, 13, 22, 17, 931, 14, 397, 2668, 64, 78, 66, 564, 388, 388, 66, 204, 264, 407, 1400, 19, 4352, 13, 6772, 68, 10021, 14, 204, 204, 461, 636, 68, 816, 68, 1766, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 329, 3893, 275, 575, 677, 2284, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 7950, 2284, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 2284, 289, 421, 13, 768, 1447, 204, 305, 397, 368, 2186, 2284, 2186, 1233, 31, 204, 485, 407, 2284, 204, 305, 902, 31, 204, 485, 456, 499, 1962, 2284, 19, 2982, 2064, 273, 542, 1283, 368, 329, 1233, 1280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 461, 1470, 68, 271, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8406, 275, 1470, 19, 204, 264, 320, 204, 264, 2668, 289, 463, 78, 31, 388, 388, 348, 296, 292, 933, 13, 22, 17, 931, 4150, 204, 264, 790, 68, 3280, 289, 388, 61, 7, 204, 264, 1335, 959, 31, 204, 268, 4199, 68, 5321, 374, 204, 268, 456, 68, 2052, 13, 2052, 14, 204, 268, 397, 790, 68, 3280, 564, 388, 61, 559, 204, 305, 2284, 289, 636, 68, 816, 68, 1766, 374, 204, 305, 1335, 2668, 64, 1766, 66, 2167, 388, 23454, 204, 485, 456, 499, 1962, 2284, 19, 2982, 5710, 437, 1392, 2817, 1280, 204, 485, 2284, 289, 636, 68, 816, 68, 1766, 374, 204, 268, 902, 31, 204, 305, 2284, 289, 636, 68, 6995, 68, 1766, 13, 2052, 17, 790, 68, 3280, 14, 204, 305, 690, 19, 4867, 13, 23, 14, 204, 305, 456, 13, 75, 7, 22990, 19509, 2284, 463, 1766, 743, 204, 305, 690, 19, 4867, 13, 22, 14, 204, 268, 2668, 64, 1766, 66, 289, 790, 68, 3280, 204, 268, 397, 353, 68, 12794, 13, 2052, 17, 790, 68, 3280, 330, 204, 305, 4199, 68, 5321, 374, 204, 305, 456, 68, 2052, 13, 2052, 14, 204, 305, 456, 13, 75, 7, 8067, 463, 1976, 68, 3280, 98, 11716, 5397, 204, 305, 2280, 204, 268, 790, 68, 3280, 289, 388, 52, 7, 397, 790, 68, 3280, 564, 388, 61, 7, 902, 388, 61, 7, 204, 268, 397, 830, 13, 2052, 64, 78, 66, 2167, 388, 388, 348, 296, 292, 933, 13, 22, 17, 931, 4019, 204, 305, 4199, 68, 5321, 374, 204, 305, 456, 68, 2052, 13, 2052, 14, 204, 305, 456, 499, 3837, 677, 273, 19673, 5397, 204, 305, 2280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1470, 68, 271, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 204, 676, 8187, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 3226, 19, 204, 204, 264, 1532, 31, 204, 268, 3226, 68, 1181, 322, 325, 330, 6581, 1576, 348, 275, 3226, 19, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 3226, 19, 204, 264, 320, 204, 264, 3226, 68, 1181, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 3749, 34, 1975, 17, 4247, 34, 1021, 14, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 2874, 68, 417, 289, 379, 16693, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 40, 1291, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 588, 302, 275, 3226, 1279, 204, 268, 407, 370, 19, 417, 204, 204, 676, 14873, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 575, 3680, 19, 204, 204, 264, 1532, 31, 204, 268, 3783, 68, 1190, 322, 325, 330, 16769, 542, 302, 275, 575, 19, 204, 268, 1995, 322, 325, 330, 11385, 302, 275, 575, 19, 204, 268, 575, 322, 2491, 330, 334, 575, 3610, 440, 275, 3680, 19, 204, 268, 3226, 322, 16693, 330, 334, 3226, 302, 275, 575, 19, 204, 264, 320, 204, 264, 3783, 68, 1190, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2353, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 14, 204, 264, 1995, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 575, 289, 1094, 19, 20748, 13, 2491, 17, 3749, 34, 1975, 17, 4247, 34, 1021, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 4531, 534, 204, 264, 3226, 289, 1094, 19, 4483, 13, 16693, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 16160, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 2874, 68, 417, 289, 379, 2491, 11717, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 2491, 1158, 2375, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 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, 320, 6266, 275, 782, 2355, 302, 275, 575, 1279, 204, 268, 407, 394, 13, 327, 19, 816, 14, 204, 204, 676, 14873, 3313, 13, 1618, 19, 3313, 330, 204, 264, 320, 204, 264, 15660, 850, 348, 14873, 570, 19, 204, 204, 264, 14068, 273, 1216, 311, 838, 273, 717, 575, 3680, 19, 204, 264, 320, 204, 264, 436, 838, 68, 4531, 13, 327, 17, 575, 31, 2221, 17, 3783, 68, 1190, 31, 394, 17, 1995, 31, 394, 17, 3226, 31, 8187, 17, 930, 2251, 14, 393, 379, 29308, 597, 204, 268, 320, 204, 268, 2605, 273, 717, 575, 3680, 19, 204, 204, 268, 457, 31, 204, 268, 338, 575, 322, 2491, 330, 334, 575, 3610, 440, 275, 3680, 19, 204, 268, 338, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 302, 275, 575, 19, 204, 268, 338, 1995, 322, 325, 330, 334, 1995, 302, 275, 575, 19, 204, 268, 338, 3226, 322, 16693, 330, 334, 3226, 302, 275, 575, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1966, 3680, 1014, 19, 204, 204, 268, 1632, 31, 204, 268, 338, 6630, 31, 828, 275, 3680, 424, 353, 2872, 19, 204, 268, 338, 1319, 31, 828, 1169, 904, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 3680, 1014, 204, 305, 3680, 289, 370, 19, 809, 13, 204, 485, 575, 34, 816, 17, 3783, 68, 1190, 34, 4700, 68, 1190, 17, 1995, 34, 2820, 17, 3226, 34, 5419, 204, 305, 1179, 204, 305, 314, 3025, 275, 3680, 1014, 204, 305, 3680, 19, 2360, 374, 204, 305, 407, 3680, 204, 268, 827, 6630, 448, 318, 31, 204, 305, 314, 1426, 3587, 2744, 204, 305, 456, 13, 75, 7, 17189, 908, 31, 463, 74, 743, 204, 305, 980, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 904, 2805, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 980, 204, 204, 8, 13433, 275, 2363, 4000, 311, 275, 14873, 570, 204, 29308, 19, 2856, 289, 14873, 3313, 374, 204, 204, 8, 1165, 1265, 31, 204, 8, 666, 273, 717, 3226, 204, 5419, 289, 8187, 19, 2856, 19, 1510, 13, 5419, 68, 1181, 833, 25818, 40, 491, 588, 833, 6001, 6751, 8187, 534, 204, 204, 8, 666, 273, 717, 575, 204, 816, 289, 2221, 19, 2856, 19, 1510, 68, 816, 611, 12514, 491, 379, 12514, 37, 2569, 19, 1453, 491, 379, 1989, 534, 204, 204, 8, 666, 273, 717, 575, 3680, 204, 4531, 289, 14873, 19, 2856, 19, 1510, 68, 4531, 13, 816, 17, 379, 4326, 18, 7372, 18, 25820, 491, 379, 4326, 3338, 1200, 491, 3226, 14, 204, 0, 39, 280, 10118, 357, 299, 19910, 353, 13627, 273, 1574, 302, 24716, 4614, 17, 1101, 490, 618, 1425, 444, 273, 1574, 302, 12787, 904, 3490, 440, 275, 2667, 448, 2590, 19, 828, 872, 4006, 884, 89, 3106, 1214, 10520, 11050, 521, 397, 872, 529, 974, 273, 5027, 19042, 17, 496, 1741, 3253, 9233, 3490, 311, 275, 10520, 329, 24716, 19, 204, 3719, 872, 529, 41567, 5566, 1214, 32764, 15921, 336, 17, 3237, 529, 275, 1913, 7496, 10769, 204, 6714, 27989, 17737, 302, 275, 357, 299, 19910, 17, 8608, 302, 13916, 1144, 17, 5043, 4614, 529, 1429, 302, 275, 1910, 5337, 496, 618, 3253, 26336, 32764, 19, 1785, 1020, 275, 1913, 7496, 10769, 5566, 1214, 32764, 529, 26336, 19, 204, 22, 19, 41173, 16244, 28577, 204, 44, 15322, 1741, 15921, 336, 1330, 1250, 529, 22144, 756, 17, 329, 808, 3667, 11080, 1330, 1880, 5847, 311, 6618, 1017, 10520, 3106, 19, 332, 6273, 302, 1880, 770, 508, 19042, 275, 10520, 11050, 329, 808, 11337, 311, 10160, 12429, 18248, 32853, 17, 265, 514, 290, 329, 1675, 10321, 19, 6917, 496, 17, 275, 357, 299, 19910, 1120, 444, 22144, 756, 329, 4720, 17, 46014, 329, 25196, 329, 1675, 490, 15921, 5902, 630, 275, 3256, 34597, 1139, 6954, 19, 204, 23, 19, 46515, 302, 13916, 346, 204, 11641, 13139, 20166, 490, 448, 273, 4614, 17, 329, 490, 11080, 1330, 872, 4006, 884, 89, 2255, 5256, 12466, 329, 14828, 292, 1214, 8114, 19, 1058, 11337, 311, 27838, 17, 7150, 17, 275, 32764, 529, 26336, 8235, 329, 872, 618, 13395, 275, 10520, 19, 204, 24, 19, 4964, 27989, 17737, 302, 275, 357, 299, 19910, 204, 1834, 618, 11616, 2404, 302, 275, 16462, 269, 787, 41232, 521, 974, 273, 5027, 13720, 34858, 928, 618, 11268, 275, 32764, 19, 6263, 872, 1856, 444, 974, 273, 5571, 19042, 329, 872, 1856, 2652, 275, 13720, 34858, 292, 2589, 571, 5869, 19, 204, 25, 19, 706, 7390, 302, 13916, 1144, 204, 1834, 13916, 353, 273, 4883, 2479, 292, 275, 17397, 1693, 1352, 302, 5043, 292, 275, 2484, 19, 18911, 17, 1330, 13916, 1144, 353, 35312, 17, 275, 4190, 302, 26336, 523, 1429, 1085, 302, 275, 2484, 2317, 2864, 275, 32764, 2317, 353, 9104, 19, 592, 804, 1082, 7203, 75, 47413, 292, 2077, 2484, 353, 275, 667, 2139, 302, 808, 13916, 19, 828, 872, 1376, 16244, 22315, 348, 273, 2482, 690, 1250, 1741, 10353, 275, 33194, 7203, 75, 47413, 17, 329, 490, 2549, 2931, 275, 20720, 311, 15921, 336, 19, 204, 26, 19, 26039, 13546, 204, 2841, 353, 273, 4835, 933, 302, 26336, 9745, 19, 3433, 618, 444, 10604, 329, 296, 31954, 36434, 322, 522, 7843, 5576, 14, 2317, 2864, 377, 385, 702, 2298, 633, 1138, 323, 2893, 85, 15514, 17, 26279, 595, 10320, 13461, 4614, 17, 6623, 19, 928, 7529, 2077, 4303, 20720, 8206, 26336, 19, 334, 1043, 1051, 618, 444, 11821, 336, 1924, 26336, 32764, 19, 4087, 872, 1856, 6202, 8809, 26336, 32764, 2404, 1250, 618, 444, 273, 12237, 302, 1182, 9233, 3490, 19, 204, 27, 19, 5860, 5568, 302, 15781, 204, 18489, 490, 353, 9395, 2323, 311, 1020, 1880, 7497, 440, 14072, 9745, 1415, 1519, 311, 732, 11458, 16321, 2589, 2344, 19, 33263, 11458, 1702, 448, 31951, 266, 329, 279, 1927, 359, 1312, 2024, 496, 529, 800, 311, 6396, 630, 4190, 302, 5557, 5087, 521, 16078, 17, 11458, 800, 348, 46505, 17, 6427, 17, 35917, 17, 6623, 19, 618, 3253, 275, 357, 299, 19910, 311, 15921, 336, 19, 204, 28, 19, 25920, 20639, 10520, 521, 10520, 440, 437, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 40726, 2522, 302, 28184, 204, 1834, 1502, 302, 275, 10520, 618, 1895, 1475, 292, 37929, 348, 16622, 329, 275, 17533, 19042, 618, 3014, 311, 26336, 19, 25920, 20639, 10520, 618, 1425, 3014, 311, 22924, 3117, 1283, 7686, 10520, 19, 13923, 273, 722, 302, 496, 17, 490, 618, 3253, 275, 357, 299, 19910, 311, 3472, 35832, 18741, 329, 15921, 336, 8235, 1330, 572, 529, 46366, 5805, 19, 204, 29, 19, 41006, 4614, 204, 673, 16012, 353, 275, 667, 3389, 496, 12916, 1910, 3857, 17, 490, 4840, 437, 3287, 1085, 302, 275, 1352, 302, 401, 616, 1745, 292, 2077, 11883, 19, 4087, 1169, 5568, 302, 16012, 4614, 521, 14072, 11954, 2643, 496, 28298, 88, 275, 26225, 302, 275, 16012, 618, 3014, 311, 26336, 32764, 19, 204, 30, 19, 33263, 3003, 302, 6427, 204, 673, 2824, 1187, 302, 24758, 1702, 448, 604, 44559, 322, 32820, 6427, 14, 521, 3536, 2745, 37913, 5509, 322, 14331, 6427, 14, 618, 3253, 357, 299, 4089, 26336, 19, 26253, 1605, 9745, 11799, 4166, 17, 1422, 1741, 444, 1910, 904, 10769, 496, 618, 3014, 311, 4614, 302, 32764, 329, 2237, 26336, 2090, 24367, 732, 17, 7443, 17, 12772, 11861, 17, 14640, 17, 6623, 19, 204, 1003, 19, 552, 536, 4600, 3731, 292, 4598, 204, 1834, 618, 6743, 630, 1792, 14113, 292, 273, 10506, 884, 88, 3307, 17, 1702, 448, 1330, 2268, 14169, 2155, 20065, 17, 1882, 16981, 521, 1722, 8629, 43561, 18588, 19, 4171, 3731, 1425, 1336, 16321, 1882, 41283, 10482, 521, 1882, 275, 732, 302, 16244, 7254, 37907, 43758, 19, 552, 536, 4600, 38290, 7529, 275, 19671, 302, 26336, 497, 275, 357, 299, 4089, 20237, 19, 204, 3719, 872, 10065, 496, 1214, 357, 299, 19910, 353, 26336, 17, 1895, 437, 14319, 440, 1214, 406, 509, 269, 23502, 311, 4857, 316, 2075, 353, 12511, 1214, 32764, 311, 15921, 336, 19, 3665, 1120, 1519, 311, 1895, 4151, 5043, 683, 329, 6015, 17878, 17, 329, 5575, 311, 1214, 2407, 17, 275, 8634, 1120, 48385, 872, 273, 5519, 19, 0, 461, 636, 68, 11867, 68, 21113, 68, 17448, 13, 1630, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 475, 275, 6726, 5992, 11336, 497, 275, 800, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 264, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 1892, 2457, 275, 6726, 5992, 11336, 19, 204, 264, 320, 204, 264, 397, 508, 886, 31, 204, 268, 407, 1306, 204, 204, 264, 314, 977, 3330, 311, 1640, 275, 5466, 302, 480, 6906, 329, 36153, 204, 264, 5466, 289, 551, 22, 66, 540, 1245, 13, 1630, 14, 204, 264, 36153, 289, 551, 3170, 66, 540, 1245, 13, 1630, 14, 204, 204, 264, 314, 3963, 275, 5466, 302, 480, 6906, 329, 36153, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 1630, 4019, 204, 268, 348, 781, 292, 933, 13, 78, 330, 204, 305, 397, 886, 64, 78, 66, 1323, 886, 64, 79, 66, 329, 5466, 64, 78, 66, 962, 5466, 64, 79, 66, 465, 368, 31, 204, 485, 5466, 64, 78, 66, 289, 5466, 64, 79, 66, 465, 368, 204, 485, 36153, 64, 78, 66, 289, 781, 204, 204, 264, 314, 1752, 275, 1112, 302, 275, 1673, 1103, 292, 275, 480, 6906, 204, 264, 846, 68, 1205, 68, 3443, 289, 846, 13, 2307, 13, 1796, 13, 7538, 3917, 896, 34, 3605, 296, 31, 5466, 64, 78, 694, 204, 204, 264, 314, 27573, 275, 480, 6906, 204, 264, 11336, 289, 1306, 204, 264, 1335, 846, 68, 1205, 68, 3443, 353, 508, 443, 31, 204, 268, 11336, 19, 1223, 13, 1630, 64, 1129, 68, 1205, 68, 3443, 694, 204, 268, 846, 68, 1205, 68, 3443, 289, 36153, 64, 1129, 68, 1205, 68, 3443, 66, 204, 204, 264, 314, 455, 275, 480, 6906, 292, 275, 1706, 1552, 204, 264, 407, 11336, 12658, 22, 66, 204, 204, 204, 461, 456, 68, 1300, 13, 17448, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1277, 302, 275, 11336, 17, 8367, 560, 275, 11336, 5398, 19, 204, 204, 264, 457, 31, 204, 264, 11336, 31, 332, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 456, 13, 1796, 13, 17448, 602, 204, 264, 456, 611, 3759, 1541, 13, 1608, 13, 325, 17, 11336, 3694, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 810, 31, 204, 268, 771, 68, 3337, 289, 421, 13, 768, 1447, 204, 268, 537, 68, 1630, 289, 458, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 204, 268, 11336, 289, 636, 68, 11867, 68, 21113, 68, 17448, 13, 768, 68, 1630, 14, 204, 268, 456, 68, 1300, 13, 17448, 14, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 9554, 9024, 22014, 16659, 31, 204, 264, 436, 353, 68, 5747, 68, 522, 68, 13579, 13, 327, 17, 542, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 800, 542, 353, 273, 2347, 302, 3420, 19, 204, 204, 268, 457, 31, 204, 305, 542, 322, 339, 330, 334, 537, 542, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 542, 353, 273, 2347, 302, 3420, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 542, 353, 2202, 1194, 521, 1936, 311, 500, 17, 521, 397, 490, 677, 508, 273, 2347, 302, 435, 204, 268, 314, 332, 542, 353, 273, 2347, 302, 435, 397, 490, 869, 6488, 1051, 379, 22, 12, 4577, 292, 1163, 2510, 2355, 204, 268, 397, 542, 2186, 500, 521, 322, 1190, 2343, 322, 1190, 338, 368, 602, 2167, 500, 31, 204, 305, 407, 1078, 204, 822, 268, 314, 778, 397, 275, 542, 302, 7152, 1877, 275, 379, 22, 12, 4577, 353, 2219, 204, 268, 314, 1058, 353, 6414, 311, 9101, 397, 275, 1502, 302, 275, 379, 22, 12, 4577, 353, 4069, 322, 22, 18, 14585, 14, 204, 268, 407, 322, 1190, 19, 3395, 68, 1205, 374, 338, 368, 14, 1564, 435, 564, 500, 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, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 18935, 289, 9554, 9024, 22014, 16659, 374, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 1845, 602, 226, 314, 959, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 1036, 602, 226, 314, 1078, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 2562, 602, 226, 314, 959, 204, 0, 3728, 3756, 1622, 1150, 418, 1001, 1869, 311, 27640, 619, 16859, 18457, 36, 10303, 311, 1910, 1704, 588, 353, 18422, 94, 13912, 440, 6068, 17, 566, 8699, 1704, 3307, 884, 88, 1225, 448, 273, 1813, 348, 273, 1988, 311, 275, 1199, 427, 18, 19895, 16188, 302, 13082, 19, 204, 673, 5946, 13673, 302, 4719, 12464, 9186, 28533, 808, 1813, 560, 275, 12178, 23940, 17, 35516, 17, 45563, 329, 4361, 44294, 292, 1163, 25331, 27640, 619, 16859, 18457, 31, 334, 9554, 302, 15787, 497, 9402, 2247, 311, 11047, 435, 19, 204, 14625, 72, 3987, 1704, 4811, 21875, 578, 17364, 329, 19742, 21960, 17, 275, 17216, 6924, 1405, 1025, 16859, 18457, 677, 10312, 311, 7260, 5169, 311, 4361, 329, 7546, 6705, 302, 275, 2344, 19, 2935, 7962, 1110, 353, 273, 11695, 33539, 302, 275, 12178, 35516, 302, 6939, 22169, 22454, 329, 346, 416, 591, 19, 204, 6739, 730, 382, 18401, 1785, 299, 3360, 5366, 1335, 16859, 18457, 677, 719, 71, 3548, 299, 292, 437, 18450, 608, 10641, 4316, 1966, 437, 292, 16604, 627, 12464, 6572, 17, 566, 1425, 6183, 1465, 13082, 292, 27949, 3099, 31, 13082, 292, 2888, 1378, 541, 17, 329, 13082, 292, 4886, 329, 2077, 9665, 884, 88, 9231, 19, 1622, 13203, 884, 88, 275, 14885, 496, 572, 3120, 311, 1704, 3307, 292, 808, 25331, 31887, 7990, 529, 275, 18114, 572, 3020, 3850, 306, 5243, 2772, 440, 13082, 302, 1051, 5568, 521, 3161, 3582, 204, 5274, 271, 619, 16859, 18457, 31, 334, 9554, 302, 15787, 23104, 3896, 440, 2075, 1784, 874, 1742, 1704, 1607, 427, 13694, 808, 9907, 2019, 17, 273, 34944, 2545, 11022, 560, 10993, 12131, 88, 17, 275, 35319, 17, 329, 10619, 14906, 3332, 275, 2688, 19, 204, 23326, 82, 17, 13453, 17, 6072, 17, 15924, 12784, 17, 4316, 781, 6035, 8495, 17, 12208, 18, 398, 3703, 329, 273, 8415, 26599, 1335, 25610, 529, 4751, 275, 2696, 27835, 299, 275, 2501, 16859, 18457, 13069, 329, 20176, 292, 275, 42410, 2007, 3780, 302, 1704, 2344, 19, 204, 5399, 529, 273, 970, 1182, 15362, 292, 273, 3697, 4466, 7778, 1924, 273, 1429, 302, 275, 22442, 440, 17216, 692, 730, 382, 18401, 1785, 299, 3360, 19, 204, 39, 1349, 18457, 13069, 7239, 273, 14085, 439, 4225, 3155, 302, 275, 1199, 427, 6129, 496, 6999, 5179, 6482, 8392, 329, 275, 32805, 17, 275, 30412, 6482, 17, 275, 26901, 6482, 329, 4361, 2652, 19, 334, 25331, 630, 275, 5946, 13673, 302, 4719, 12464, 9186, 5570, 12438, 675, 1662, 1605, 3403, 3780, 36431, 808, 4719, 2347, 7055, 17, 329, 17, 292, 3638, 17, 1662, 16859, 18457, 1376, 275, 2347, 302, 6068, 311, 11108, 1475, 19, 0, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 763, 437, 14202, 2231, 497, 275, 575, 19, 204, 204, 264, 9799, 15162, 275, 575, 348, 537, 3119, 379, 409, 12, 353, 6027, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 499, 3383, 437, 14202, 2231, 322, 276, 379, 409, 12, 311, 12363, 330, 2810, 204, 268, 397, 575, 68, 768, 19, 3006, 374, 564, 388, 409, 559, 204, 305, 456, 499, 5191, 15413, 431, 204, 305, 407, 443, 204, 268, 407, 575, 68, 768, 204, 204, 461, 1020, 68, 8764, 13, 7629, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 1112, 302, 275, 4708, 292, 275, 2231, 19, 204, 204, 264, 457, 31, 204, 268, 2231, 322, 325, 330, 334, 14202, 2231, 311, 1813, 348, 437, 4708, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1112, 302, 275, 4708, 17, 521, 338, 22, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 968, 275, 6300, 10496, 204, 264, 10496, 289, 3134, 24053, 43924, 48029, 6040, 1339, 204, 264, 314, 1861, 1048, 848, 4708, 329, 1020, 1163, 1112, 292, 275, 2231, 204, 264, 348, 4708, 292, 10496, 31, 204, 268, 1112, 289, 2231, 19, 2269, 13, 8764, 14, 204, 268, 397, 1112, 2167, 338, 22, 31, 204, 305, 407, 1112, 204, 264, 407, 338, 22, 204, 204, 461, 949, 68, 7629, 13, 7629, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 888, 275, 722, 302, 275, 14202, 2231, 19, 204, 204, 264, 457, 31, 204, 268, 2231, 322, 325, 330, 334, 14202, 2231, 311, 949, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1752, 275, 1112, 302, 275, 4708, 292, 275, 2231, 204, 264, 4708, 68, 998, 289, 1020, 68, 8764, 13, 7629, 14, 204, 264, 397, 4708, 68, 998, 564, 338, 22, 31, 204, 268, 456, 499, 1962, 2901, 431, 204, 268, 407, 204, 204, 264, 810, 31, 204, 268, 314, 1986, 275, 886, 329, 4708, 497, 275, 2231, 204, 268, 771, 22, 289, 421, 13, 7629, 2022, 8764, 68, 998, 694, 204, 268, 4708, 289, 2231, 64, 8764, 68, 998, 66, 204, 268, 771, 23, 289, 421, 13, 7629, 64, 8764, 68, 998, 465, 368, 10101, 204, 204, 268, 314, 3055, 275, 4183, 1609, 523, 275, 4708, 204, 268, 397, 4708, 564, 20575, 559, 204, 305, 722, 289, 771, 22, 465, 771, 23, 204, 268, 1677, 4708, 564, 42562, 204, 305, 722, 289, 771, 22, 338, 771, 23, 204, 268, 1677, 4708, 564, 17203, 559, 204, 305, 722, 289, 771, 22, 540, 771, 23, 204, 268, 1677, 4708, 564, 6040, 559, 204, 305, 397, 771, 23, 564, 500, 31, 204, 485, 456, 499, 596, 31, 11942, 560, 2962, 431, 204, 485, 407, 204, 305, 722, 289, 771, 22, 802, 771, 23, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 13, 75, 1954, 920, 22, 98, 463, 8764, 98, 463, 920, 23, 98, 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, 463, 1300, 743, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 204, 264, 9799, 15162, 275, 575, 348, 14202, 7277, 329, 9111, 275, 1563, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 636, 68, 816, 68, 768, 374, 204, 268, 397, 575, 68, 768, 353, 443, 31, 204, 305, 2280, 204, 268, 949, 68, 7629, 13, 816, 68, 768, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 6714, 25627, 11623, 308, 1299, 281, 2264, 1694, 204, 673, 17187, 412, 349, 3391, 302, 28188, 78, 14683, 40124, 8349, 30078, 204, 31813, 1233, 427, 338, 11157, 887, 427, 17, 17781, 204, 6739, 730, 31, 6834, 19, 41377, 6495, 387, 9614, 204, 46508, 17187, 412, 349, 3391, 204, 7020, 275, 24951, 302, 9064, 17, 523, 9402, 571, 10988, 17, 275, 552, 4732, 18, 1155, 88, 6670, 17, 275, 412, 7774, 42678, 17, 5178, 2481, 292, 12668, 17, 292, 928, 14760, 3391, 874, 273, 2824, 4263, 311, 1370, 19, 204, 673, 29282, 29503, 292, 275, 1598, 427, 6129, 17, 1330, 275, 33379, 1372, 23979, 275, 11311, 302, 9064, 329, 9750, 311, 4968, 1017, 18149, 19, 3433, 2927, 36960, 17, 1567, 328, 2018, 14760, 3391, 302, 4960, 521, 23821, 329, 16470, 756, 1475, 523, 275, 10469, 17, 292, 275, 11132, 496, 1250, 1784, 7918, 5501, 5726, 29341, 329, 14759, 440, 1475, 448, 1250, 297, 1378, 25597, 275, 2263, 19, 4087, 496, 275, 4960, 303, 7774, 869, 6202, 1742, 273, 1656, 677, 1370, 3375, 17, 1101, 6216, 273, 1125, 82, 311, 6156, 1163, 21538, 19, 204, 5019, 275, 1729, 690, 17, 275, 43916, 34881, 7988, 311, 28498, 1017, 13182, 440, 32008, 14760, 3391, 17, 848, 1874, 5912, 273, 4985, 302, 275, 35904, 677, 11603, 17, 292, 1552, 311, 44282, 275, 28994, 19, 3433, 6999, 275, 35904, 329, 275, 1149, 1023, 17, 2327, 9911, 19860, 1372, 17, 5544, 37137, 17, 970, 45697, 17, 329, 2327, 36920, 19, 204, 5039, 275, 2181, 7568, 17, 1605, 14760, 3391, 6802, 1182, 329, 1182, 44343, 17, 329, 275, 2363, 6813, 311, 830, 15321, 302, 8295, 19, 4161, 275, 21465, 302, 9402, 571, 10988, 17, 22202, 329, 35240, 1466, 23124, 22383, 273, 5680, 4720, 6280, 348, 275, 23516, 11502, 17, 31438, 32242, 301, 311, 275, 24090, 17, 329, 19410, 33310, 311, 275, 2804, 302, 23982, 1415, 2080, 1742, 26055, 311, 1017, 13182, 19, 204, 673, 2363, 7486, 1163, 1853, 1882, 275, 26278, 302, 275, 2541, 1312, 350, 1245, 815, 322, 2314, 9783, 18, 2132, 7879, 659, 1415, 2080, 1910, 35240, 17, 1245, 815, 12894, 12668, 311, 566, 14261, 497, 830, 7066, 8142, 560, 44282, 299, 275, 33012, 302, 275, 1553, 42314, 2688, 329, 275, 11603, 17, 830, 275, 10569, 302, 275, 11623, 2501, 302, 3307, 19, 204, 3609, 10974, 440, 14760, 3391, 17, 5680, 11488, 11712, 275, 9293, 11845, 348, 10212, 11488, 329, 348, 4598, 338, 13204, 16871, 17, 275, 17113, 32276, 17, 329, 4960, 18, 7951, 299, 322, 17843, 16051, 789, 204, 673, 14760, 3391, 292, 275, 7809, 12, 11522, 302, 471, 2663, 322, 9798, 353, 3303, 41668, 14, 1466, 508, 15434, 17, 448, 1466, 3153, 311, 444, 1193, 292, 275, 32624, 40566, 630, 37884, 3517, 19, 13923, 275, 14760, 3391, 16470, 756, 523, 275, 19631, 560, 275, 33379, 1372, 448, 1125, 1015, 17, 1250, 1466, 2927, 302, 4960, 19, 4171, 4960, 14760, 3391, 1466, 40959, 329, 47210, 19, 552, 4115, 867, 2927, 497, 8508, 1059, 1153, 4960, 17, 329, 275, 14693, 866, 11045, 1466, 9029, 311, 848, 2523, 19, 334, 4131, 302, 275, 724, 26535, 84, 12992, 1320, 1466, 2927, 302, 39343, 521, 9425, 4960, 5575, 311, 275, 39521, 5035, 302, 9293, 22962, 19, 334, 14760, 3391, 1466, 2927, 1182, 28263, 560, 3358, 1128, 1282, 1320, 302, 4581, 4960, 406, 29474, 521, 560, 16166, 292, 275, 9621, 329, 11484, 88, 334, 11623, 1731, 747, 348, 1017, 14760, 3391, 448, 2577, 16275, 17, 329, 2927, 6430, 496, 1250, 3756, 508, 5573, 1025, 275, 33596, 8650, 302, 2637, 2804, 19, 1131, 275, 1136, 302, 275, 471, 2663, 3155, 322, 1845, 7432, 18, 1916, 6996, 659, 329, 292, 4539, 630, 275, 7830, 302, 275, 4467, 78, 8739, 15606, 322, 2132, 6996, 18, 1794, 1258, 789, 275, 1838, 302, 4461, 4960, 14760, 3391, 6802, 273, 47489, 18, 834, 20551, 348, 10299, 19, 204, 837, 11623, 17, 275, 4960, 14760, 3391, 529, 3556, 448, 379, 38, 656, 18, 3804, 365, 18, 1240, 14683, 12, 322, 38, 656, 18, 3804, 365, 338, 731, 4418, 21781, 32, 300, 299, 14683, 338, 303, 7774, 789, 4168, 275, 731, 4418, 9348, 17470, 17, 1704, 5680, 37880, 22062, 1704, 14310, 448, 388, 9277, 21781, 2948, 334, 19416, 302, 1605, 2637, 11488, 867, 311, 3472, 273, 308, 10119, 329, 14709, 275, 13654, 308, 1299, 281, 357, 938, 17, 754, 1250, 2927, 4960, 14760, 3391, 292, 308, 10119, 677, 22962, 226, 152, 128, 338, 928, 353, 5566, 275, 4960, 14760, 3391, 529, 754, 6860, 19, 204, 5039, 440, 904, 7458, 46851, 292, 12668, 17, 275, 4960, 14760, 3391, 618, 444, 27576, 5575, 311, 275, 1864, 292, 928, 1250, 529, 1966, 17, 560, 1017, 1187, 17, 28101, 1546, 17, 329, 6060, 19, 4657, 482, 302, 275, 9293, 14760, 3391, 874, 1236, 2048, 17, 12063, 754, 496, 11243, 618, 3020, 1017, 3346, 19359, 292, 275, 303, 7774, 19, 5860, 14760, 3391, 3638, 1017, 35283, 523, 275, 19543, 17, 275, 4037, 311, 2037, 1017, 9293, 14693, 866, 11045, 19, 334, 11879, 529, 2927, 302, 23270, 9811, 440, 5624, 4960, 17, 329, 275, 14693, 866, 2859, 11138, 3287, 22641, 311, 275, 2523, 329, 4849, 302, 275, 4368, 6717, 19, 204, 26719, 14760, 3391, 560, 275, 8536, 28188, 78, 14683, 40124, 8349, 30078, 17, 329, 17214, 273, 6592, 11651, 302, 10446, 529, 311, 444, 5298, 292, 808, 25331, 19, 3433, 1173, 2724, 497, 12092, 17, 12400, 17, 3511, 17, 329, 275, 6450, 3307, 302, 275, 4109, 10482, 19, 334, 14760, 3391, 12, 18379, 353, 44343, 17, 273, 317, 3498, 24548, 311, 275, 17898, 578, 22962, 302, 560, 42180, 3054, 19, 334, 14760, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3391, 2457, 10557, 21475, 497, 275, 47758, 633, 1851, 302, 275, 1144, 429, 30866, 334, 26979, 838, 273, 275, 269, 9091, 23925, 560, 3210, 302, 1017, 20252, 7277, 17, 1017, 1895, 18, 398, 329, 24026, 17, 329, 1017, 406, 9779, 1491, 2264, 22634, 19, 5610, 808, 25040, 311, 1895, 275, 4960, 14760, 3391, 437, 1838, 798, 928, 353, 3667, 8551, 311, 275, 1838, 302, 21246, 331, 5183, 19, 204, 48, 449, 78, 14683, 40124, 8349, 30078, 338, 29357, 302, 275, 17187, 412, 7774, 204, 48, 449, 78, 14683, 40124, 8349, 30078, 867, 9596, 292, 41668, 292, 35383, 19, 6917, 38061, 2223, 3859, 292, 2416, 94, 9268, 78, 16186, 292, 39439, 2268, 7988, 311, 4309, 275, 1838, 302, 4461, 16751, 14760, 3391, 17, 329, 35987, 311, 3472, 273, 303, 7774, 18, 9976, 19, 3355, 1330, 17, 292, 43674, 17, 2268, 17470, 2135, 78, 842, 78, 40124, 8349, 30078, 17, 2268, 2080, 311, 38930, 2830, 19416, 19, 6234, 9453, 311, 9340, 440, 2830, 19435, 17, 1415, 6802, 273, 11623, 4886, 11836, 292, 4560, 366, 44242, 19, 592, 40252, 17, 1877, 566, 867, 12657, 292, 275, 10110, 5179, 6482, 17, 24909, 19, 40124, 8349, 30078, 8885, 311, 12668, 440, 2830, 8453, 329, 2830, 970, 2804, 19, 204, 837, 12668, 2268, 10365, 448, 273, 22962, 9976, 311, 2886, 2830, 4316, 329, 8402, 719, 2830, 2804, 19, 1765, 830, 496, 17, 2268, 31317, 2830, 8336, 302, 275, 4960, 14760, 3391, 19, 592, 37294, 17, 630, 275, 2523, 302, 7332, 17, 2268, 15101, 4960, 18, 73, 7774, 9511, 630, 273, 3859, 292, 41668, 19, 24909, 19, 40124, 8349, 30078, 677, 14760, 3391, 1466, 754, 13654, 496, 2830, 23982, 10471, 2669, 2830, 311, 11524, 1475, 4440, 19, 592, 1552, 311, 7324, 275, 14760, 3391, 348, 2830, 23982, 17, 2268, 7988, 311, 6723, 2830, 16922, 19, 592, 275, 20098, 543, 2830, 14760, 3391, 2080, 1236, 2048, 17, 329, 1017, 18379, 867, 3060, 3277, 19, 40581, 3483, 19, 24909, 19, 40124, 8349, 30078, 7988, 311, 3440, 14760, 3391, 10819, 497, 275, 2787, 14148, 14683, 18, 74, 17, 275, 9293, 11623, 5538, 19, 6234, 353, 8578, 12912, 292, 275, 11073, 379, 2115, 4271, 4598, 12, 322, 7803, 79, 266, 18, 5352, 789, 24909, 19, 40124, 8349, 30078, 353, 437, 12610, 523, 275, 14693, 866, 11045, 329, 18379, 928, 1466, 17898, 578, 292, 12668, 1882, 275, 471, 2663, 3155, 322, 1845, 7432, 18, 2132, 6996, 789, 592, 3153, 3054, 18379, 329, 11622, 1466, 17442, 592, 30034, 440, 275, 4361, 1714, 329, 20551, 302, 275, 4598, 19, 6917, 7947, 8321, 19, 24909, 19, 40124, 8349, 30078, 867, 6666, 5096, 311, 838, 275, 9029, 401, 7583, 981, 329, 3695, 302, 22962, 17, 2219, 7239, 2268, 867, 10571, 496, 1250, 1466, 1236, 6397, 292, 17898, 19, 15601, 2268, 17356, 1662, 311, 838, 1429, 26957, 401, 7583, 981, 329, 2264, 22634, 17, 830, 497, 4960, 19, 6234, 869, 2927, 17, 311, 1489, 17, 1429, 2327, 7584, 4960, 14760, 3391, 17, 302, 928, 1051, 7584, 529, 11656, 292, 808, 25331, 19, 0, 25798, 496, 848, 7380, 1066, 302, 273, 32403, 3196, 302, 1950, 18, 4721, 3099, 2950, 15464, 275, 1066, 302, 275, 3196, 19, 204, 204, 3661, 13257, 1303, 1859, 83, 34, 22, 23011, 6785, 273, 68, 83, 3266, 444, 273, 32403, 3196, 302, 1950, 18, 4721, 3099, 17, 329, 1163, 1066, 353, 13772, 560, 11645, 56, 34213, 5486, 11645, 56, 68, 80, 3266, 444, 275, 11645, 80, 3266, 18, 427, 7380, 1066, 302, 275, 3196, 19, 204, 204, 1449, 7647, 496, 13257, 35880, 724, 65, 266, 65, 8711, 392, 17, 387, 68, 80, 65, 9484, 387, 36857, 572, 618, 732, 275, 2631, 3979, 31, 204, 204, 15560, 11645, 56, 68, 83, 1323, 387, 3266, 348, 1429, 11645, 83, 34213, 5486, 13257, 9458, 289, 688, 1209, 96, 56, 68, 83, 338, 387, 1134, 23, 47948, 4596, 4790, 302, 11645, 56, 36857, 1422, 2560, 437, 1534, 11645, 51, 3266, 1702, 496, 11645, 97, 56, 68, 80, 338, 387, 97, 962, 688, 9458, 3266, 348, 830, 11645, 80, 688, 13547, 392, 34213, 204, 204, 4592, 11645, 97, 56, 68, 83, 338, 387, 97, 289, 387, 68, 83, 338, 387, 289, 435, 65, 9458, 1323, 688, 9458, 36857, 11645, 51, 3266, 1631, 444, 3114, 1194, 11645, 83, 34213, 716, 204, 4063, 17, 2506, 11645, 56, 68, 51, 289, 387, 68, 83, 465, 273, 1859, 83, 16, 22, 98, 465, 688, 18455, 465, 273, 68, 51, 34213, 4682, 11645, 70, 68, 78, 688, 13547, 500, 3266, 348, 830, 11645, 78, 36857, 572, 874, 11645, 56, 68, 51, 688, 13547, 387, 68, 83, 34213, 204, 204, 1834, 10600, 11645, 97, 56, 68, 51, 338, 387, 97, 289, 322, 56, 68, 51, 338, 387, 68, 83, 14, 465, 322, 56, 68, 83, 338, 387, 14, 688, 13547, 387, 68, 83, 338, 387, 1323, 688, 9458, 36857, 928, 353, 273, 22539, 19, 204, 204, 4356, 17, 2077, 17455, 11645, 56, 68, 83, 1323, 387, 3266, 1631, 444, 7463, 17, 329, 572, 13187, 496, 11645, 56, 68, 80, 688, 9484, 387, 3266, 348, 830, 11645, 80, 688, 266, 688, 8711, 96, 51, 47948, 0, 38, 20948, 869, 19925, 496, 275, 18456, 3585, 17496, 17, 311, 928, 572, 529, 3060, 15216, 311, 17, 874, 1425, 21749, 1048, 275, 2181, 3522, 1163, 24195, 2090, 275, 11091, 302, 19731, 11340, 19, 204, 11354, 19738, 329, 6309, 529, 970, 1792, 12759, 302, 6218, 329, 1741, 6743, 10178, 31932, 1101, 448, 4935, 448, 1352, 302, 4383, 302, 3585, 17496, 529, 15502, 17, 1250, 1741, 5316, 3557, 311, 16031, 11091, 302, 11340, 19, 204, 4270, 16723, 3300, 21013, 17, 273, 16616, 22585, 630, 29987, 4639, 292, 31914, 8013, 17, 7136, 18837, 17, 7168, 275, 3220, 329, 14996, 311, 3120, 275, 9989, 302, 11258, 311, 11091, 302, 13994, 88, 4440, 19, 204, 3070, 3300, 21013, 17, 11091, 353, 508, 2842, 273, 16031, 19012, 448, 490, 353, 1236, 1182, 33734, 311, 275, 7497, 20135, 19, 204, 7937, 21013, 17, 292, 1704, 4960, 17, 16343, 1662, 275, 5128, 281, 7422, 302, 19669, 7168, 311, 275, 11091, 302, 34109, 25377, 884, 13994, 88, 311, 5319, 884, 88, 16686, 5166, 74, 299, 1168, 7849, 88, 19, 204, 673, 7156, 302, 5128, 281, 3938, 867, 7001, 560, 3300, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21013, 292, 275, 14667, 88, 19, 204, 13127, 311, 275, 3938, 17, 275, 2665, 329, 4147, 302, 830, 3714, 5194, 17, 3855, 7497, 521, 8227, 17, 31060, 292, 1702, 273, 2501, 448, 311, 1308, 5634, 3498, 9509, 3073, 311, 275, 3714, 302, 21675, 17, 2090, 3585, 17, 2263, 17, 5043, 521, 12387, 17, 2614, 1475, 19, 204, 11594, 292, 275, 1322, 302, 19731, 7160, 496, 4362, 2788, 884, 353, 1017, 6438, 3332, 275, 2688, 17, 292, 3585, 17496, 490, 353, 275, 6438, 302, 1880, 19, 334, 22585, 14450, 275, 5035, 302, 48764, 12550, 14107, 3585, 17496, 311, 5193, 623, 275, 7549, 302, 275, 1880, 292, 6488, 275, 1729, 2501, 448, 11340, 19, 204, 12306, 299, 11091, 273, 6015, 19012, 17, 3300, 21013, 3252, 496, 3731, 292, 7160, 4440, 18202, 560, 6015, 9989, 19, 28682, 302, 11340, 8788, 523, 48764, 12550, 19, 204, 990, 46, 3480, 311, 22889, 4949, 1880, 496, 11091, 17, 928, 353, 275, 2652, 292, 2484, 2665, 1048, 690, 17, 39418, 1236, 23662, 1283, 275, 970, 28814, 302, 19738, 329, 11258, 4412, 3300, 21013, 3252, 19, 204, 41040, 27196, 486, 17, 1415, 6709, 28840, 47985, 630, 275, 4639, 302, 8105, 22136, 292, 48137, 17, 11053, 17, 869, 273, 1792, 15530, 1465, 3300, 21013, 884, 88, 4601, 496, 1710, 6711, 88, 19073, 1283, 24140, 4383, 329, 16031, 11091, 19, 204, 990, 39, 20142, 11091, 353, 508, 13090, 17, 1422, 353, 1236, 5210, 17, 1236, 16718, 6646, 448, 1422, 353, 292, 6309, 17, 1273, 5337, 529, 3870, 348, 273, 5127, 19, 7054, 8608, 302, 11666, 292, 19738, 353, 2075, 3416, 275, 970, 32353, 10867, 4412, 27196, 486, 3252, 19, 204, 39, 38912, 3252, 496, 3300, 21013, 884, 88, 6733, 302, 24140, 11091, 353, 2090, 17287, 7101, 19, 204, 990, 13239, 3016, 85, 2296, 1667, 6235, 5256, 496, 1250, 884, 272, 2090, 273, 6258, 19, 3846, 1330, 872, 5408, 490, 311, 273, 2888, 6712, 15546, 17, 490, 830, 19409, 1873, 19, 3665, 636, 317, 728, 323, 26319, 1563, 17, 27196, 486, 3252, 19, 204, 39, 38912, 5366, 17, 1622, 7990, 14089, 302, 8660, 529, 3094, 311, 6635, 17, 2219, 7239, 382, 4006, 884, 89, 9610, 440, 1475, 19, 3433, 636, 1880, 8993, 3582, 204, 12129, 11363, 12367, 323, 337, 16754, 404, 36400, 359, 271, 17, 497, 6259, 40040, 10249, 292, 871, 17191, 322, 25603, 13054, 659, 3252, 496, 9764, 8660, 292, 3300, 21013, 884, 88, 1225, 13395, 13107, 1877, 2545, 4201, 311, 1704, 5500, 281, 3938, 19, 204, 990, 3837, 884, 88, 9395, 43424, 19, 828, 872, 3480, 311, 3120, 5500, 281, 3938, 311, 273, 717, 1864, 17, 872, 4006, 884, 89, 2379, 2075, 311, 770, 4412, 566, 3252, 19, 204, 673, 3220, 867, 6193, 292, 275, 11059, 302, 32864, 19669, 523, 26412, 19, 204, 46793, 7215, 560, 392, 24040, 16336, 266, 322, 9968, 830, 14, 204, 18, 334, 9772, 302, 13499, 19674, 5102, 2439, 2659, 21743, 560, 18131, 11988, 338, 28059, 4662, 17, 6894, 204, 18, 25042, 4160, 7122, 311, 32376, 12469, 496, 26505, 4877, 445, 1851, 430, 46957, 338, 47367, 368, 17, 6894, 204, 18, 10004, 35182, 4208, 8174, 299, 311, 7938, 5032, 348, 21302, 1462, 8487, 8099, 338, 6856, 2468, 17, 6894, 0, 676, 12160, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 3277, 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, 330, 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, 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, 4153, 1690, 1025, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7666, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 7666, 1690, 353, 2917, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 7666, 1690, 353, 2917, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 24275, 1690, 2950, 444, 2917, 431, 204, 822, 268, 314, 1255, 275, 7666, 1690, 311, 275, 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, 4153, 1690, 497, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7138, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 11528, 1690, 353, 2917, 521, 10472, 275, 3188, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 11528, 1690, 353, 2917, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 25463, 1690, 2950, 444, 2917, 431, 204, 822, 268, 314, 778, 397, 275, 11528, 1690, 10472, 275, 3188, 204, 268, 397, 1690, 1323, 370, 19, 3631, 31, 204, 305, 980, 987, 499, 20273, 3188, 431, 204, 822, 268, 314, 10121, 275, 11528, 1690, 497, 275, 3188, 204, 268, 370, 19, 3631, 4922, 1690, 204, 204, 264, 436, 1356, 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, 314, 455, 275, 790, 3188, 204, 268, 407, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 370, 19, 3631, 204, 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, 75, 7, 6238, 3188, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 264, 1747, 19, 15749, 13, 4589, 19, 21, 14, 204, 264, 456, 13, 75, 7, 15674, 1877, 7666, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 264, 1747, 19, 15691, 13, 2825, 19, 21, 14, 204, 264, 456, 13, 75, 7, 15674, 1877, 11528, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 0, 658, 12616, 302, 275, 3239, 19146, 2169, 204, 204, 673, 542, 19146, 2169, 353, 437, 2219, 11929, 542, 15864, 302, 3420, 2727, 886, 11983, 4430, 19, 716, 204, 1380, 13095, 25262, 204, 673, 2727, 13216, 302, 19146, 2169, 353, 31, 204, 23, 2771, 435, 2771, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 7207, 204, 15297, 618, 1425, 444, 5052, 448, 31, 204, 23, 67, 25, 2771, 571, 2771, 720, 2771, 7207, 204, 204, 1380, 27447, 329, 4275, 657, 204, 9706, 2169, 618, 444, 5052, 448, 29937, 13690, 17, 3420, 7584, 28215, 292, 23360, 798, 17, 329, 292, 8615, 11661, 17, 490, 353, 1168, 19, 4832, 2771, 931, 67, 24, 19, 204, 204, 1380, 21098, 329, 25870, 204, 673, 542, 19146, 2169, 869, 681, 7656, 2727, 3857, 329, 273, 1113, 302, 1168, 2727, 3857, 19, 334, 1066, 302, 1163, 2727, 3857, 353, 10688, 322, 23, 465, 435, 465, 435, 465, 435, 465, 571, 465, 720, 465, 7207, 289, 10688, 17, 1101, 3522, 435, 6644, 3420, 2666, 17, 572, 2506, 275, 7656, 10788, 448, 435, 17, 571, 17, 720, 17, 329, 7207, 17, 928, 1066, 311, 10688, 789, 226, 204, 3837, 869, 273, 1113, 302, 2846, 7633, 19, 334, 1066, 302, 830, 7633, 353, 5773, 17, 45354, 17, 329, 275, 1066, 302, 1163, 2133, 7633, 322, 25206, 19146, 2169, 5398, 14, 353, 2247, 17, 40535, 19, 204, 204, 1380, 12636, 204, 9706, 2169, 353, 437, 20312, 542, 2404, 275, 1066, 302, 1163, 2133, 7633, 322, 1845, 17, 40535, 14, 353, 3114, 1194, 5398, 19, 334, 25675, 353, 1132, 17, 30, 4023, 322, 1845, 17, 40535, 338, 1168, 17, 35380, 789, 204, 204, 1380, 20077, 657, 204, 837, 2510, 17, 19146, 2169, 353, 6717, 448, 2958, 1003, 5758, 13971, 19, 592, 1034, 18, 3701, 17, 490, 353, 720, 54, 52, 19, 204, 204, 1380, 19714, 329, 29646, 204, 18, 334, 2415, 302, 19146, 2169, 353, 9766, 17, 42929, 17, 9913, 19, 204, 18, 334, 6871, 302, 19146, 2169, 353, 681, 1641, 17, 29, 2188, 17, 29116, 17, 1207, 19, 204, 18, 334, 2415, 1610, 302, 19146, 2169, 353, 5387, 19851, 19, 4635, 19, 204, 18, 334, 6871, 1610, 302, 19146, 2169, 353, 5387, 1433, 19, 8532, 19, 204, 204, 1380, 37767, 14997, 204, 18, 1168, 17, 35380, 3331, 353, 1936, 311, 435, 3658, 329, 681, 4112, 19, 204, 18, 332, 6871, 440, 273, 3351, 302, 1168, 17, 35380, 10542, 6887, 1784, 444, 5387, 368, 19, 27, 5301, 14977, 19, 204, 204, 1380, 791, 1062, 1872, 9877, 204, 18, 19146, 2169, 46542, 27809, 353, 500, 4832, 28, 19, 204, 18, 19146, 2169, 353, 273, 8705, 823, 364, 542, 19, 204, 18, 334, 1066, 302, 1163, 3258, 353, 2153, 322, 28, 465, 681, 465, 681, 465, 500, 289, 2153, 789, 0, 676, 6937, 31, 204, 264, 320, 204, 264, 2646, 273, 944, 292, 273, 2510, 2192, 19, 204, 204, 264, 1532, 31, 204, 268, 424, 322, 339, 330, 334, 700, 6929, 292, 275, 944, 19, 204, 268, 1824, 322, 10753, 330, 334, 1824, 1656, 302, 275, 944, 19, 204, 268, 1629, 322, 10753, 330, 334, 1629, 1656, 302, 275, 944, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 6937, 440, 275, 800, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 339, 330, 334, 700, 311, 444, 6929, 292, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 481, 289, 424, 204, 268, 370, 19, 1735, 289, 443, 204, 268, 370, 19, 1633, 289, 443, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 6937, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 6937, 19, 204, 268, 320, 204, 268, 407, 283, 7, 10753, 2930, 327, 19, 481, 9222, 204, 204, 204, 676, 20838, 31, 204, 264, 320, 204, 264, 2646, 273, 2510, 2192, 19, 204, 204, 264, 1532, 31, 204, 268, 1610, 322, 10753, 330, 334, 1610, 944, 302, 275, 2510, 2192, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1610, 31, 6937, 330, 204, 268, 320, 204, 268, 1865, 273, 20838, 440, 275, 800, 1610, 944, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 1610, 944, 302, 275, 2510, 2192, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 1610, 204, 204, 264, 1642, 4460, 204, 264, 436, 838, 68, 3150, 13, 1309, 31, 458, 64, 339, 694, 393, 6937, 31, 204, 268, 320, 204, 268, 2605, 273, 2510, 2192, 497, 273, 458, 302, 1019, 19, 204, 204, 268, 334, 2192, 353, 1966, 560, 18740, 1019, 292, 275, 2631, 1552, 31, 204, 268, 338, 13826, 500, 322, 2125, 330, 1112, 500, 204, 268, 338, 13826, 368, 31, 3265, 368, 17, 435, 204, 268, 338, 13826, 435, 31, 3265, 571, 17, 681, 17, 720, 17, 887, 204, 268, 338, 3168, 204, 204, 268, 457, 31, 204, 305, 1019, 322, 655, 64, 339, 1037, 332, 458, 302, 1019, 311, 444, 12493, 1025, 275, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 6937, 31, 334, 1610, 944, 302, 275, 1966, 2510, 2192, 19, 204, 268, 320, 204, 268, 397, 508, 1019, 31, 204, 305, 407, 443, 204, 204, 268, 314, 666, 275, 1610, 944, 204, 268, 1610, 289, 6937, 13, 1309, 64, 21, 694, 204, 268, 2769, 289, 551, 2125, 66, 204, 268, 296, 289, 368, 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, 314, 666, 275, 3022, 302, 275, 2192, 204, 268, 1335, 296, 962, 1245, 13, 1309, 330, 204, 305, 790, 68, 1241, 289, 2769, 19, 3377, 13, 21, 14, 204, 204, 305, 314, 666, 275, 1824, 1656, 204, 305, 397, 296, 962, 1245, 13, 1309, 330, 204, 485, 790, 68, 1241, 19, 1735, 289, 6937, 13, 1309, 64, 78, 694, 204, 485, 2769, 19, 1223, 13, 1976, 68, 1241, 19, 1735, 14, 204, 485, 296, 1412, 368, 204, 204, 305, 314, 666, 275, 1629, 1656, 204, 305, 397, 296, 962, 1245, 13, 1309, 330, 204, 485, 790, 68, 1241, 19, 1633, 289, 6937, 13, 1309, 64, 78, 694, 204, 485, 2769, 19, 1223, 13, 1976, 68, 1241, 19, 1633, 14, 204, 485, 296, 1412, 368, 204, 204, 268, 407, 1610, 204, 204, 264, 436, 678, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 273, 678, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 678, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 551, 327, 19, 2125, 66, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 3194, 31, 204, 305, 944, 289, 3194, 19, 3377, 374, 204, 305, 397, 944, 31, 204, 485, 722, 19, 1223, 13, 1241, 19, 481, 14, 204, 485, 3194, 19, 1223, 13, 1241, 19, 1633, 14, 204, 485, 3194, 19, 1223, 13, 1241, 19, 1735, 14, 204, 204, 268, 407, 722, 204, 204, 264, 436, 292, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 437, 292, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 292, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 1306, 204, 268, 790, 289, 370, 19, 2125, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 959, 31, 204, 305, 397, 790, 31, 204, 485, 3194, 19, 1223, 13, 1976, 14, 204, 485, 790, 289, 790, 19, 1735, 204, 305, 1677, 3194, 31, 204, 485, 790, 289, 3194, 19, 3377, 374, 204, 485, 722, 19, 1223, 13, 1976, 19, 481, 14, 204, 485, 790, 289, 790, 19, 1633, 204, 305, 902, 31, 204, 485, 2280, 204, 204, 268, 407, 722, 204, 204, 264, 436, 1722, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 273, 1722, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 1722, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 6229, 327, 19, 2125, 17, 1078, 2395, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 3194, 31, 204, 305, 944, 17, 4371, 289, 3194, 19, 3377, 374, 204, 305, 397, 944, 31, 204, 485, 397, 4371, 31, 204, 895, 722, 19, 1223, 13, 1241, 19, 481, 14, 204, 485, 902, 31, 204, 895, 3194, 19, 1223, 1802, 1241, 17, 959, 602, 204, 895, 3194, 19, 1223, 1802, 1241, 19, 1633, 17, 1078, 602, 204, 895, 3194, 19, 1223, 1802, 1241, 19, 1735, 17, 1078, 602, 204, 204, 268, 407, 722, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 273, 2510, 2192, 497, 273, 458, 302, 1019, 204, 264, 1019, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 66, 204, 264, 1610, 289, 20838, 19, 1510, 68, 3150, 13, 1309, 14, 204, 264, 2510, 68, 3150, 289, 20838, 13, 2125, 14, 204, 204, 264, 314, 3055, 1272, 38162, 204, 264, 456, 499, 5434, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 603, 68, 1115, 68, 13241, 1447, 204, 264, 456, 499, 837, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 266, 68, 1115, 68, 13241, 1447, 204, 264, 456, 499, 7164, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 2288, 68, 1115, 68, 13241, 1447, 204, 0, 647, 2164, 204, 531, 1498, 532, 1061, 204, 204, 8, 968, 273, 3324, 348, 275, 2084, 12317, 1274, 204, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 289, 388, 3189, 1963, 1775, 8520, 19, 605, 9892, 369, 19, 1453, 7, 204, 204, 461, 2566, 68, 505, 68, 1443, 13, 805, 31, 394, 14, 393, 2164, 19, 2628, 31, 204, 264, 320, 204, 264, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 329, 407, 275, 958, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 204, 264, 475, 31, 204, 268, 2164, 19, 2628, 31, 334, 958, 497, 275, 4559, 824, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 4559, 824, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 268, 407, 2164, 19, 505, 13, 805, 14, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1426, 824, 2805, 329, 1308, 273, 10430, 908, 943, 204, 268, 980, 15689, 13, 75, 7, 3504, 311, 3686, 424, 497, 463, 805, 2829, 463, 74, 743, 204, 204, 461, 6767, 68, 1835, 68, 1181, 13, 805, 31, 394, 17, 1812, 68, 1835, 68, 1181, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6407, 496, 275, 1713, 1274, 2584, 275, 1812, 1714, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 268, 1812, 68, 1835, 68, 1181, 322, 339, 330, 334, 1812, 1714, 1576, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 1714, 1576, 1583, 508, 2216, 275, 1812, 1714, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1576, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 264, 958, 289, 2566, 68, 505, 68, 1443, 13, 805, 14, 204, 264, 314, 6407, 496, 275, 1714, 1576, 4083, 275, 1812, 1714, 1576, 204, 264, 2136, 958, 19, 1835, 68, 1181, 564, 1812, 68, 1835, 68, 1181, 17, 283, 7, 11741, 1714, 1576, 463, 5477, 68, 1835, 68, 1181, 98, 1101, 7550, 463, 1935, 19, 1835, 68, 1181, 2495, 204, 204, 461, 6767, 68, 5093, 13, 805, 31, 394, 17, 1812, 68, 5093, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 264, 320, 204, 264, 6407, 496, 275, 1713, 1274, 2584, 275, 1812, 3496, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 268, 1812, 68, 5093, 322, 1665, 64, 325, 17, 394, 1037, 334, 1812, 3496, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 3496, 770, 508, 2216, 275, 1812, 3496, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 264, 958, 289, 2566, 68, 505, 68, 1443, 13, 805, 14, 204, 264, 314, 6407, 496, 275, 3496, 2216, 275, 1812, 3496, 204, 264, 348, 896, 17, 700, 292, 1812, 68, 5093, 19, 1996, 1293, 204, 268, 2136, 896, 292, 958, 19, 5093, 17, 283, 7, 14344, 3494, 463, 644, 2495, 204, 268, 2136, 958, 19, 5093, 64, 644, 66, 564, 700, 17, 283, 7, 11741, 3494, 463, 644, 98, 311, 444, 463, 876, 98, 1101, 7550, 463, 1935, 19, 5093, 64, 644, 25718, 204, 204, 461, 683, 68, 14387, 68, 8155, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 23498, 4584, 19, 204, 264, 320, 204, 264, 1779, 289, 283, 1954, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 5865, 8754, 7, 204, 264, 314, 6407, 496, 275, 23498, 4584, 2584, 273, 2031, 1714, 1576, 204, 264, 6767, 68, 1835, 68, 1181, 13, 805, 17, 2031, 14, 204, 264, 314, 6407, 496, 275, 23498, 4584, 2584, 275, 1812, 3496, 204, 264, 1812, 68, 5093, 289, 463, 204, 268, 388, 8334, 18, 2191, 559, 388, 5580, 20, 1775, 32, 21095, 34, 3102, 18, 29, 528, 204, 268, 388, 8334, 18, 10746, 559, 388, 1551, 1392, 7, 204, 264, 1211, 204, 264, 6767, 68, 5093, 13, 805, 17, 1812, 68, 5093, 14, 204, 204, 461, 683, 68, 4162, 68, 8155, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 3612, 4584, 19, 204, 264, 320, 204, 264, 1779, 289, 283, 1954, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 5865, 8754, 20, 22, 7, 204, 264, 314, 6407, 496, 275, 3612, 4584, 2584, 273, 2031, 1714, 1576, 204, 264, 6767, 68, 1835, 68, 1181, 13, 805, 17, 2031, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 14387, 68, 8155, 374, 204, 264, 683, 68, 4162, 68, 8155, 374, 204, 0, 461, 636, 68, 920, 68, 4599, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 3806, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3806, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 499, 2101, 275, 542, 302, 3806, 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, 768, 68, 7518, 13, 920, 68, 4599, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 537, 3330, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4599, 322, 339, 330, 334, 542, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 537, 3330, 19, 204, 264, 320, 204, 264, 537, 68, 7518, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 920, 68, 4599, 330, 204, 268, 1335, 959, 31, 204, 305, 575, 68, 768, 289, 537, 13, 75, 7, 2101, 537, 458, 463, 78, 16, 22, 98, 322, 2816, 18, 7996, 330, 2810, 204, 305, 810, 31, 204, 485, 537, 68, 655, 289, 575, 68, 768, 19, 1590, 374, 204, 485, 397, 1245, 13, 768, 68, 655, 14, 962, 435, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 630, 3406, 970, 1019, 1280, 204, 485, 902, 31, 204, 895, 537, 68, 7518, 19, 1223, 13, 768, 68, 655, 14, 204, 895, 2280, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 264, 407, 537, 68, 7518, 204, 204, 461, 636, 68, 5271, 68, 1915, 13, 768, 68, 7518, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 2220, 4192, 497, 275, 537, 3330, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 7518, 322, 655, 330, 332, 458, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 2220, 4192, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 758, 311, 636, 2220, 4192, 329, 1675, 10657, 490, 311, 273, 458, 204, 264, 2220, 68, 1915, 289, 458, 13, 574, 1568, 768, 68, 655, 64, 21, 66, 348, 537, 68, 655, 292, 537, 68, 7518, 4513, 204, 264, 407, 2220, 68, 1915, 204, 204, 461, 949, 68, 10089, 13, 5271, 68, 1915, 31, 458, 17, 537, 68, 7518, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 888, 275, 8598, 348, 848, 2220, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 2220, 68, 1915, 322, 655, 330, 332, 458, 302, 2220, 4192, 19, 204, 268, 537, 68, 7518, 322, 655, 330, 332, 458, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 264, 320, 204, 264, 8598, 289, 2087, 204, 264, 348, 2220, 68, 359, 292, 2220, 68, 1915, 31, 204, 268, 8046, 68, 10089, 289, 1306, 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, 1113, 289, 500, 204, 268, 348, 296, 17, 537, 68, 655, 292, 3209, 13, 768, 68, 7518, 330, 204, 305, 397, 537, 68, 655, 64, 21, 66, 564, 2220, 68, 359, 31, 204, 485, 1113, 1412, 421, 13, 768, 68, 655, 64, 22, 694, 204, 485, 8046, 68, 10089, 19, 1223, 1802, 78, 17, 1113, 602, 204, 268, 8598, 64, 5271, 68, 359, 66, 289, 8046, 68, 10089, 204, 264, 407, 8598, 204, 204, 461, 636, 68, 2391, 68, 10089, 13, 10089, 31, 1135, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 275, 1673, 8598, 348, 848, 2220, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 8598, 322, 873, 330, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 1673, 8598, 348, 848, 2220, 1222, 19, 204, 264, 320, 204, 264, 1673, 68, 10089, 289, 551, 19105, 68, 10089, 3327, 22, 66, 348, 8046, 68, 10089, 292, 8598, 19, 1309, 6485, 204, 264, 407, 1673, 68, 10089, 204, 204, 461, 1688, 68, 2391, 68, 10089, 13, 2391, 68, 10089, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4641, 275, 1673, 8598, 292, 9472, 1552, 19, 204, 204, 264, 457, 31, 204, 268, 1673, 68, 10089, 322, 655, 330, 332, 458, 302, 1673, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 2282, 458, 302, 1673, 8598, 19, 204, 264, 320, 204, 264, 1673, 68, 10089, 19, 2975, 13, 644, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 264, 407, 1673, 68, 10089, 204, 204, 461, 636, 68, 12794, 13, 2391, 68, 10089, 31, 458, 17, 8598, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 8427, 19, 204, 204, 264, 457, 31, 204, 268, 1673, 68, 10089, 322, 655, 330, 332, 458, 302, 1673, 8598, 19, 204, 268, 8598, 322, 873, 330, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1222, 302, 275, 8427, 19, 204, 264, 320, 204, 264, 846, 68, 1303, 289, 846, 13, 2391, 68, 10089, 17, 896, 34, 3605, 610, 31, 610, 64, 22, 20272, 22, 66, 204, 264, 27530, 289, 551, 5271, 68, 359, 348, 2220, 68, 359, 17, 8046, 68, 10089, 292, 8598, 19, 1996, 374, 397, 8046, 68, 10089, 3327, 22, 1799, 22, 66, 564, 846, 68, 1303, 66, 204, 264, 314, 4641, 27530, 560, 1017, 1043, 11499, 204, 264, 8427, 289, 1006, 13, 44382, 17, 896, 34, 3605, 610, 31, 1682, 1802, 78, 348, 296, 17, 537, 68, 655, 292, 3209, 13, 10089, 14, 397, 537, 68, 655, 564, 610, 659, 818, 611, 3643, 22090, 204, 264, 407, 8427, 204, 204, 461, 667, 1293, 204, 264, 771, 68, 4599, 289, 636, 68, 920, 68, 4599, 374, 204, 264, 537, 68, 7518, 289, 636, 68, 768, 68, 7518, 13, 920, 68, 4599, 14, 204, 264, 2220, 68, 1915, 289, 636, 68, 5271, 68, 1915, 13, 768, 68, 7518, 14, 204, 264, 8598, 289, 949, 68, 10089, 13, 5271, 68, 1915, 17, 537, 68, 7518, 14, 204, 264, 1673, 68, 10089, 289, 636, 68, 2391, 68, 10089, 13, 10089, 14, 204, 264, 2282, 68, 2391, 68, 10089, 289, 1688, 68, 2391, 68, 10089, 13, 2391, 68, 10089, 14, 204, 264, 8427, 289, 636, 68, 12794, 13, 5518, 68, 2391, 68, 10089, 17, 8598, 14, 204, 264, 397, 8427, 564, 388, 79, 2600, 92, 2301, 486, 559, 204, 268, 456, 499, 70, 2070, 89, 358, 95, 75, 433, 325, 72, 4043, 71, 36432, 7270, 431, 204, 264, 902, 31, 204, 268, 456, 13, 12794, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 472, 13661, 837, 40440, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 311, 1640, 16751, 25078, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 1552, 68, 1190, 322, 325, 330, 6581, 1552, 542, 348, 275, 16751, 25078, 19, 204, 268, 6273, 68, 1190, 322, 339, 330, 31550, 542, 302, 275, 16751, 19, 204, 268, 5821, 68, 1190, 322, 339, 330, 17946, 542, 302, 275, 16751, 19, 204, 268, 16751, 68, 932, 322, 325, 330, 2838, 302, 16751, 2545, 4811, 1473, 19, 204, 268, 12308, 68, 49120, 322, 339, 330, 3239, 302, 18343, 302, 16751, 12308, 19, 204, 268, 12308, 68, 9410, 322, 339, 330, 3239, 302, 6166, 302, 16751, 12308, 19, 204, 268, 16751, 68, 2435, 322, 339, 330, 22748, 302, 275, 16751, 292, 6887, 19, 204, 268, 2350, 322, 325, 330, 11919, 302, 7654, 348, 275, 16751, 2198, 19, 204, 268, 9583, 336, 322, 339, 330, 3239, 302, 9583, 336, 25198, 19, 204, 268, 2641, 322, 339, 330, 26992, 7654, 302, 275, 16751, 19, 204, 268, 5432, 322, 339, 330, 21589, 497, 275, 2641, 7654, 19, 204, 268, 14837, 322, 325, 330, 2838, 302, 14837, 1193, 292, 275, 16751, 19, 204, 268, 1236, 68, 24, 322, 339, 330, 3239, 302, 25198, 302, 1187, 571, 19, 204, 268, 1236, 68, 3701, 322, 339, 330, 3239, 302, 25198, 302, 1187, 5075, 19, 204, 268, 1236, 68, 9579, 322, 339, 330, 3239, 302, 25198, 302, 1187, 17386, 19, 204, 268, 1236, 68, 30, 322, 339, 330, 3239, 302, 25198, 302, 1187, 1233, 19, 204, 268, 3542, 68, 2160, 322, 339, 330, 3239, 302, 3542, 1728, 19, 204, 268, 13695, 68, 3222, 322, 339, 330, 3239, 302, 17336, 302, 1302, 500, 19, 22, 19, 204, 268, 13695, 68, 22, 322, 339, 330, 3239, 302, 17336, 302, 1302, 368, 19, 204, 268, 13695, 68, 2160, 322, 339, 330, 3239, 302, 13695, 1728, 19, 204, 268, 1113, 68, 2160, 322, 339, 330, 7867, 542, 302, 1728, 19, 204, 268, 1728, 68, 49120, 322, 339, 330, 3239, 302, 1728, 841, 22429, 19, 204, 268, 1728, 68, 558, 68, 9645, 322, 339, 330, 3239, 302, 1728, 841, 12047, 19, 204, 268, 1728, 68, 558, 68, 1325, 5513, 322, 339, 330, 3239, 302, 1728, 841, 40394, 19, 204, 268, 5686, 322, 325, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17757, 302, 275, 16751, 19, 204, 268, 23382, 322, 325, 330, 21132, 525, 1714, 302, 275, 16751, 19, 204, 264, 320, 204, 204, 264, 1552, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 6273, 68, 1190, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5821, 68, 1190, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 16751, 68, 932, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2188, 14, 204, 264, 12308, 68, 49120, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 12308, 68, 9410, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 16751, 68, 2435, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 2350, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 9583, 336, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 2641, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5432, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 14837, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2562, 14, 204, 264, 1236, 68, 24, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 3701, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 9579, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 30, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 3542, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 3222, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 22, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1113, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 49120, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 558, 68, 9645, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 558, 68, 1325, 5513, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5686, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 23, 14, 204, 264, 23382, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 23, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 16751, 25078, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 1115, 68, 1190, 15135, 327, 19, 901, 68, 1190, 15135, 327, 19, 16172, 2495, 204, 204, 264, 436, 949, 68, 2609, 68, 44134, 88, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 542, 302, 25198, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1113, 542, 302, 25198, 204, 268, 1113, 68, 44134, 88, 289, 370, 19, 14366, 336, 465, 370, 19, 1625, 68, 24, 465, 370, 19, 1625, 68, 3701, 465, 370, 19, 1625, 68, 9579, 465, 370, 19, 1625, 68, 30, 204, 268, 407, 1113, 68, 44134, 88, 204, 204, 264, 436, 949, 68, 44134, 68, 1949, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3989, 275, 14837, 2233, 19, 204, 268, 320, 204, 268, 314, 888, 275, 14837, 2233, 204, 268, 397, 370, 19, 28499, 68, 49120, 564, 500, 31, 204, 305, 407, 500, 204, 268, 14837, 68, 1949, 289, 322, 327, 19, 3446, 68, 2609, 68, 44134, 88, 374, 802, 370, 19, 28499, 68, 49120, 14, 540, 1607, 204, 268, 407, 14837, 68, 1949, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 16751, 25078, 204, 264, 25078, 289, 472, 13661, 837, 40440, 13, 204, 268, 1552, 68, 1190, 1022, 16298, 528, 204, 268, 6273, 68, 1190, 34, 22, 17, 204, 268, 5821, 68, 1190, 34, 22, 17, 204, 268, 16751, 68, 932, 1022, 40, 363, 1333, 528, 204, 268, 12308, 68, 49120, 34, 2051, 17, 204, 268, 12308, 68, 9410, 34, 2051, 17, 204, 268, 16751, 68, 2435, 34, 1719, 17, 204, 268, 2350, 1022, 22520, 528, 204, 268, 9583, 336, 34, 1003, 17, 204, 268, 2641, 34, 2051, 17, 204, 268, 5432, 34, 26, 17, 204, 268, 14837, 1022, 31848, 793, 528, 204, 268, 1236, 68, 24, 34, 26, 17, 204, 268, 1236, 68, 3701, 34, 1003, 17, 204, 268, 1236, 68, 9579, 34, 1909, 17, 204, 268, 1236, 68, 30, 34, 1036, 17, 204, 268, 3542, 68, 2160, 34, 1719, 17, 204, 268, 13695, 68, 3222, 34, 1003, 17, 204, 268, 13695, 68, 22, 34, 1036, 17, 204, 268, 13695, 68, 2160, 34, 2188, 17, 204, 268, 1113, 68, 2160, 34, 2051, 17, 204, 268, 1728, 68, 49120, 34, 1719, 17, 204, 268, 1728, 68, 558, 68, 9645, 34, 1003, 17, 204, 268, 1728, 68, 558, 68, 1325, 5513, 34, 22, 17, 204, 268, 5686, 1022, 38, 528, 204, 268, 23382, 1022, 12950, 7, 204, 264, 1179, 204, 204, 264, 314, 3025, 275, 16751, 25078, 204, 264, 25078, 19, 2360, 374, 204, 204, 264, 314, 888, 275, 1113, 25198, 204, 264, 1113, 68, 44134, 88, 289, 25078, 19, 3446, 68, 2609, 68, 44134, 88, 374, 204, 264, 456, 13, 75, 7, 6425, 25198, 31, 463, 2609, 68, 44134, 88, 743, 204, 204, 264, 314, 888, 275, 14837, 2233, 204, 264, 14837, 68, 1949, 289, 25078, 19, 3446, 68, 44134, 68, 1949, 374, 204, 264, 456, 13, 75, 7, 7146, 462, 2233, 31, 463, 44134, 68, 1949, 28131, 204, 0, 647, 2010, 448, 645, 204, 647, 2044, 23, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 437, 752, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 2621, 311, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 752, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 752, 289, 2044, 23, 19, 10465, 13, 935, 68, 546, 17, 500, 14, 204, 264, 397, 752, 353, 443, 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, 980, 3180, 13, 75, 7, 596, 4644, 752, 497, 463, 935, 68, 546, 743, 204, 264, 407, 752, 204, 204, 461, 838, 68, 11348, 68, 1663, 13, 5806, 31, 421, 17, 774, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 7619, 1525, 440, 275, 800, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 12316, 322, 339, 330, 31684, 7619, 19, 204, 268, 774, 322, 339, 330, 29324, 7619, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 7619, 1525, 19, 204, 264, 320, 204, 264, 314, 666, 273, 435, 93, 24, 7619, 1525, 204, 264, 407, 645, 19, 996, 2177, 8963, 22, 17, 500, 17, 12316, 648, 551, 21, 17, 368, 17, 774, 4097, 204, 204, 461, 13541, 68, 935, 13, 935, 31, 645, 19, 766, 17, 7619, 68, 1663, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 43278, 437, 752, 974, 275, 800, 7619, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 13541, 19, 204, 268, 7619, 68, 1663, 322, 1123, 19, 766, 330, 334, 7619, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 12311, 752, 19, 204, 264, 320, 204, 264, 314, 763, 275, 752, 5150, 204, 264, 3015, 17, 10426, 289, 752, 19, 1827, 204, 264, 314, 3291, 275, 7619, 1525, 311, 275, 752, 204, 264, 407, 2044, 23, 19, 30475, 42765, 13, 935, 17, 7619, 68, 1663, 17, 322, 6103, 17, 3015, 602, 204, 204, 461, 2037, 68, 2936, 13, 6228, 68, 935, 31, 645, 19, 766, 17, 12311, 68, 935, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 275, 2171, 329, 12311, 2388, 19, 204, 204, 264, 457, 31, 204, 268, 2171, 68, 935, 322, 1123, 19, 766, 330, 334, 2171, 752, 19, 204, 268, 12311, 68, 935, 322, 1123, 19, 766, 330, 334, 12311, 752, 19, 204, 264, 320, 204, 264, 314, 666, 11884, 311, 2037, 275, 2388, 204, 264, 2044, 23, 19, 8122, 499, 9562, 528, 2171, 68, 935, 14, 204, 264, 2044, 23, 19, 8122, 499, 26857, 756, 528, 12311, 68, 935, 14, 204, 264, 314, 5730, 348, 273, 896, 3692, 329, 3671, 275, 11884, 204, 264, 2044, 23, 19, 13755, 13, 21, 14, 204, 264, 2044, 23, 19, 15524, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1137, 437, 752, 17, 13541, 490, 17, 329, 2037, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 968, 275, 752, 832, 329, 7619, 2072, 204, 264, 752, 68, 546, 289, 17937, 6422, 20, 3371, 20, 30, 20, 2283, 33690, 19, 5684, 7, 204, 264, 12316, 17, 774, 289, 2468, 17, 3382, 204, 615, 264, 810, 31, 204, 268, 314, 1385, 275, 752, 204, 268, 2171, 68, 935, 289, 1137, 68, 935, 13, 935, 68, 546, 14, 204, 268, 314, 666, 275, 7619, 1525, 204, 268, 7619, 68, 1663, 289, 838, 68, 11348, 68, 1663, 13, 5806, 17, 774, 14, 204, 268, 314, 21666, 275, 752, 204, 268, 12311, 68, 935, 289, 13541, 68, 935, 13, 6228, 68, 935, 17, 7619, 68, 1663, 14, 204, 268, 314, 3740, 275, 1563, 204, 268, 2037, 68, 2936, 13, 6228, 68, 935, 17, 12311, 68, 935, 14, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 74, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1137, 68, 481, 68, 13435, 13, 13435, 68, 553, 31, 394, 14, 393, 1884, 64, 1665, 64, 325, 17, 394, 648, 1061, 64, 325, 17, 783, 64, 325, 10778, 204, 264, 320, 204, 264, 1385, 424, 8370, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 264, 8370, 68, 553, 322, 325, 330, 2621, 311, 275, 8370, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1665, 64, 325, 17, 394, 648, 1061, 64, 325, 17, 783, 64, 325, 10778, 332, 927, 1174, 970, 5239, 31, 204, 268, 338, 36925, 23, 13435, 31, 332, 955, 4707, 2752, 4192, 311, 21034, 19, 204, 268, 338, 8370, 23, 10593, 31, 332, 955, 4707, 21034, 311, 3330, 302, 2752, 4192, 19, 204, 264, 320, 204, 264, 314, 977, 1392, 5239, 311, 1640, 2752, 4192, 329, 21034, 204, 264, 36925, 23, 13435, 17, 8370, 23, 10593, 289, 14170, 2087, 204, 615, 264, 314, 1385, 275, 8370, 510, 1025, 273, 3805, 3135, 204, 264, 2349, 289, 1246, 19, 976, 68, 2039, 13, 13435, 68, 553, 14, 204, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 3135, 204, 264, 348, 1237, 292, 2349, 19, 1309, 31, 204, 268, 314, 1986, 2752, 1222, 329, 8370, 497, 275, 1237, 204, 268, 36925, 17, 8370, 289, 394, 13, 937, 64, 21, 5060, 1237, 3327, 22, 66, 204, 822, 268, 314, 9015, 2752, 1222, 311, 8370, 204, 268, 36925, 23, 13435, 64, 10593, 66, 289, 8370, 204, 822, 268, 314, 9015, 8370, 311, 458, 302, 2752, 4192, 204, 268, 397, 8370, 508, 292, 8370, 23, 10593, 31, 204, 305, 8370, 23, 10593, 64, 13435, 66, 289, 1306, 204, 268, 397, 36925, 508, 292, 8370, 23, 10593, 64, 13435, 744, 204, 305, 8370, 23, 10593, 64, 13435, 1664, 1223, 13, 10593, 14, 204, 204, 264, 407, 36925, 23, 13435, 17, 8370, 23, 10593, 204, 204, 204, 461, 4724, 68, 2393, 13, 2393, 31, 1246, 19, 1362, 17, 2158, 68, 1205, 31, 421, 17, 13805, 68, 1205, 31, 421, 17, 4724, 68, 932, 31, 394, 14, 393, 783, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 19541, 273, 1672, 1025, 5406, 12268, 19, 204, 204, 264, 457, 31, 204, 264, 1672, 322, 2600, 19, 1362, 330, 334, 1672, 311, 4724, 19, 204, 264, 2158, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 2158, 19, 204, 264, 13805, 68, 1205, 322, 339, 330, 334, 13805, 1277, 19, 204, 264, 4724, 68, 932, 322, 325, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 334, 1187, 302, 15627, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 2600, 19, 1362, 744, 332, 458, 302, 24811, 4645, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 24811, 4645, 204, 264, 24811, 68, 4077, 289, 1306, 204, 615, 264, 314, 778, 397, 13805, 1277, 353, 2202, 1194, 521, 1936, 311, 2158, 1277, 204, 264, 2136, 13805, 68, 1205, 2186, 2158, 68, 1205, 329, 2158, 68, 1205, 3721, 931, 204, 204, 264, 314, 763, 2220, 4724, 4192, 204, 264, 4724, 68, 1915, 289, 2282, 13, 574, 13, 2393, 736, 8545, 68, 359, 3750, 1309, 602, 204, 615, 264, 314, 3291, 15627, 1609, 523, 4724, 1187, 204, 264, 397, 4724, 68, 932, 292, 2470, 1424, 68, 277, 405, 491, 379, 1424, 68, 277, 405, 68, 6593, 5441, 204, 268, 348, 1276, 292, 4724, 68, 1915, 31, 204, 305, 4724, 289, 1672, 64, 2393, 736, 8545, 68, 359, 839, 564, 1276, 66, 204, 305, 397, 4724, 68, 932, 564, 379, 1424, 68, 277, 405, 68, 6593, 597, 204, 485, 24811, 68, 4077, 19, 1223, 13, 8545, 14, 204, 305, 902, 31, 204, 485, 348, 1012, 68, 3443, 292, 933, 13, 21, 17, 1245, 13, 8545, 659, 13805, 68, 1205, 330, 204, 895, 1136, 68, 3443, 289, 1006, 13, 1530, 68, 3443, 465, 2158, 68, 1205, 17, 1245, 13, 8545, 602, 204, 895, 860, 68, 8545, 289, 4724, 19, 8751, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 204, 895, 24811, 68, 4077, 19, 1223, 13, 1509, 68, 8545, 14, 204, 895, 397, 1136, 68, 3443, 564, 1245, 13, 8545, 330, 204, 2058, 2280, 204, 264, 1677, 4724, 68, 932, 564, 379, 4056, 597, 204, 268, 348, 1012, 68, 3443, 292, 933, 13, 21, 17, 1245, 13, 2393, 659, 13805, 68, 1205, 330, 204, 305, 1136, 68, 3443, 289, 1006, 13, 1530, 68, 3443, 465, 2158, 68, 1205, 17, 1245, 13, 2393, 602, 204, 305, 4724, 289, 1672, 19, 8751, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 204, 305, 24811, 68, 4077, 19, 1223, 13, 8545, 14, 204, 305, 397, 1136, 68, 3443, 564, 1245, 13, 2393, 330, 204, 485, 2280, 204, 264, 902, 31, 204, 268, 456, 611, 3882, 1702, 15627, 2755, 5901, 204, 615, 264, 407, 24811, 68, 4077, 204, 204, 204, 461, 8060, 68, 481, 13, 481, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 22147, 1112, 68, 13989, 31, 783, 64, 2983, 64, 339, 17, 421, 4097, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 204, 264, 320, 204, 264, 8825, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1665, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 20184, 334, 424, 311, 8060, 19, 204, 264, 1112, 68, 13989, 322, 1218, 64, 2983, 64, 339, 17, 421, 3795, 332, 458, 302, 1112, 10207, 311, 8060, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 334, 7570, 424, 19, 204, 264, 320, 204, 264, 314, 14390, 1737, 2048, 1025, 273, 2875, 1348, 204, 264, 951, 68, 481, 289, 645, 19, 937, 68, 4173, 13, 481, 736, 1219, 4976, 3995, 2378, 204, 615, 264, 314, 888, 1869, 329, 2599, 5432, 302, 1737, 2048, 204, 264, 951, 68, 3037, 289, 645, 19, 10377, 3037, 13, 1219, 68, 481, 17, 3138, 34, 21, 14, 204, 264, 951, 68, 3960, 289, 645, 19, 10377, 3960, 13, 1219, 68, 481, 17, 3138, 34, 21, 14, 204, 204, 264, 314, 8825, 2048, 348, 848, 8370, 204, 264, 348, 8370, 292, 424, 19, 3261, 1293, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 481, 64, 13435, 6690, 3995, 2378, 330, 204, 305, 348, 1012, 68, 3443, 17, 1136, 68, 3443, 292, 1112, 68, 13989, 31, 204, 485, 314, 42363, 2048, 204, 485, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 289, 688, 204, 895, 322, 481, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 338, 951, 68, 3037, 64, 1530, 68, 3443, 31, 409, 68, 3443, 694, 802, 322, 204, 4511, 951, 68, 3960, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 465, 368, 74, 18, 27, 14, 204, 7933, 485, 314, 4546, 17547, 88, 440, 7152, 204, 485, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 289, 645, 19, 3663, 13, 204, 895, 645, 19, 31131, 13, 481, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 5060, 500, 19, 21, 17, 204, 895, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 694, 204, 204, 264, 407, 424, 204, 204, 204, 461, 1137, 68, 481, 13, 2607, 31, 394, 17, 3630, 31, 1061, 64, 325, 17, 394, 648, 2648, 68, 3604, 31, 783, 64, 325, 648, 17603, 68, 2230, 31, 394, 17, 8060, 31, 1109, 289, 959, 17, 7757, 68, 17999, 31, 783, 64, 325, 66, 289, 443, 17, 2158, 68, 1205, 31, 421, 289, 2031, 17, 13805, 68, 1205, 31, 421, 289, 1607, 17, 2106, 31, 1109, 289, 1078, 17, 3120, 68, 22519, 31, 1109, 289, 959, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 204, 264, 320, 204, 264, 1385, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 1781, 322, 325, 330, 334, 1781, 311, 1137, 424, 348, 19, 204, 264, 3630, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 3630, 311, 275, 424, 19, 204, 264, 2648, 68, 3604, 322, 1218, 64, 325, 1037, 332, 458, 302, 2648, 3416, 311, 1137, 19, 204, 264, 17603, 68, 2230, 322, 325, 330, 334, 14840, 5117, 311, 1137, 19, 204, 264, 8060, 322, 2107, 17, 1448, 330, 2266, 311, 8060, 275, 424, 19, 1243, 311, 959, 19, 204, 264, 7757, 68, 17999, 322, 1218, 64, 325, 648, 1448, 330, 332, 458, 302, 10052, 2914, 19, 1243, 311, 443, 19, 204, 264, 2158, 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, 1205, 322, 339, 17, 1448, 330, 334, 2158, 1277, 19, 1243, 311, 2031, 19, 204, 264, 13805, 68, 1205, 322, 339, 17, 1448, 330, 334, 13805, 1277, 19, 1243, 311, 1607, 19, 204, 264, 2106, 322, 2107, 17, 1448, 330, 2266, 311, 2106, 275, 3271, 424, 19, 1243, 311, 1078, 19, 204, 264, 3120, 68, 22519, 322, 2107, 17, 1448, 330, 2266, 311, 3120, 15627, 19, 1243, 311, 959, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 334, 3271, 424, 19, 204, 264, 320, 204, 264, 314, 8450, 9080, 31, 3288, 275, 3022, 302, 275, 741, 204, 264, 1879, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 8370, 68, 553, 289, 388, 13435, 19, 2039, 7, 204, 264, 36925, 23, 13435, 17, 8370, 23, 10593, 289, 1137, 68, 481, 68, 13435, 13, 13435, 68, 553, 14, 204, 264, 456, 13, 10593, 23, 13435, 14, 204, 264, 456, 13, 13435, 23, 10593, 14, 204, 204, 264, 1672, 289, 1246, 19, 1362, 2930, 204, 268, 379, 8545, 68, 359, 597, 551, 22, 17, 368, 17, 368, 17, 435, 17, 435, 17, 435, 648, 204, 268, 379, 3995, 22, 597, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 648, 204, 268, 379, 3995, 23, 597, 551, 28, 17, 1132, 17, 1233, 17, 931, 17, 2958, 17, 1598, 66, 204, 264, 7084, 204, 264, 24811, 68, 4077, 289, 4724, 68, 2393, 13, 2393, 17, 435, 17, 368, 17, 379, 4056, 534, 204, 264, 456, 13, 8545, 336, 68, 4077, 14, 204, 204, 264, 424, 289, 463, 204, 268, 379, 1219, 597, 463, 204, 305, 379, 3995, 597, 551, 1123, 19, 643, 8963, 22, 17, 435, 648, 551, 24, 17, 681, 28541, 645, 19, 643, 8963, 26, 17, 887, 648, 551, 28, 17, 1132, 4097, 66, 204, 268, 4752, 204, 268, 379, 804, 597, 463, 204, 305, 379, 3995, 597, 551, 1123, 19, 643, 8963, 30, 17, 931, 648, 551, 1641, 17, 1598, 28541, 645, 19, 643, 8963, 2353, 17, 2905, 648, 551, 1909, 17, 2247, 4097, 66, 204, 268, 1211, 204, 264, 1211, 204, 264, 1112, 68, 13989, 289, 6229, 21, 17, 368, 659, 322, 22, 17, 435, 2395, 204, 264, 7570, 68, 481, 289, 8060, 68, 481, 13, 481, 17, 1112, 68, 13989, 14, 204, 264, 456, 13, 13651, 68, 481, 14, 204, 0, 647, 5683, 204, 531, 740, 19, 809, 19, 6391, 532, 13804, 204, 531, 740, 532, 14832, 596, 204, 204, 37, 6598, 19, 8999, 204, 461, 1943, 374, 393, 13804, 31, 204, 264, 320, 204, 264, 28356, 311, 838, 273, 717, 13804, 1014, 19, 204, 615, 264, 475, 31, 204, 268, 13804, 31, 332, 717, 13804, 1014, 19, 204, 264, 320, 204, 264, 407, 13804, 374, 204, 204, 461, 683, 68, 6391, 68, 3474, 68, 1512, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 1419, 1259, 302, 275, 1943, 19, 204, 615, 264, 334, 1943, 1856, 874, 275, 2631, 3564, 31, 204, 264, 338, 353, 68, 1766, 68, 1735, 31, 959, 204, 264, 338, 353, 68, 1766, 68, 1633, 31, 959, 204, 264, 338, 11709, 68, 765, 31, 500, 204, 264, 320, 204, 264, 314, 778, 1419, 1259, 302, 1943, 3564, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1735, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1633, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 500, 204, 204, 37, 6598, 19, 2472, 19, 16402, 499, 3830, 68, 417, 17, 1419, 68, 876, 17, 717, 68, 876, 528, 551, 204, 264, 4401, 360, 68, 1766, 68, 1735, 528, 959, 17, 1078, 659, 204, 264, 4401, 360, 68, 1766, 68, 1633, 528, 959, 17, 1078, 659, 204, 264, 4401, 19335, 68, 765, 528, 500, 17, 368, 659, 204, 694, 204, 461, 683, 68, 12825, 68, 6664, 13, 6391, 31, 13804, 17, 4355, 68, 417, 31, 394, 17, 1419, 68, 876, 17, 717, 68, 876, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5465, 3564, 311, 1097, 1019, 19, 204, 615, 264, 457, 31, 204, 268, 1943, 322, 16850, 330, 334, 1943, 1014, 19, 204, 268, 4355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4355, 311, 758, 19, 204, 268, 1419, 68, 876, 31, 334, 1419, 700, 302, 275, 4355, 19, 204, 268, 717, 68, 876, 31, 334, 717, 700, 311, 758, 348, 275, 4355, 19, 204, 264, 320, 204, 264, 314, 1359, 275, 4355, 311, 273, 717, 700, 204, 264, 18163, 13, 6391, 17, 4355, 68, 417, 17, 717, 68, 876, 14, 204, 264, 314, 778, 397, 275, 4355, 867, 758, 5728, 204, 264, 2136, 10175, 13, 6391, 17, 4355, 68, 417, 14, 564, 717, 68, 876, 204, 204, 37, 6598, 19, 2472, 19, 16402, 499, 3830, 68, 417, 528, 551, 204, 264, 388, 360, 68, 1766, 68, 1735, 528, 204, 264, 388, 360, 68, 1766, 68, 1633, 528, 204, 264, 388, 19335, 68, 765, 528, 204, 694, 204, 461, 683, 68, 12825, 68, 6664, 68, 633, 68, 10953, 68, 11688, 68, 718, 13, 6391, 31, 13804, 17, 4355, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5465, 3564, 311, 443, 10036, 273, 14832, 596, 19, 204, 615, 264, 457, 31, 204, 268, 1943, 322, 16850, 330, 334, 1943, 1014, 19, 204, 268, 4355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4355, 311, 758, 19, 204, 264, 320, 204, 264, 314, 6608, 311, 758, 275, 4355, 311, 443, 204, 264, 440, 5683, 19, 11688, 13, 11558, 596, 330, 204, 268, 18163, 13, 6391, 17, 4355, 68, 417, 17, 443, 14, 204, 204, 8, 6119, 683, 311, 1356, 397, 275, 1943, 618, 2284, 1824, 329, 1629, 204, 461, 683, 68, 6391, 68, 21053, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 1943, 6438, 19, 204, 615, 264, 334, 1943, 1856, 444, 5096, 311, 2284, 1824, 329, 1629, 19, 204, 264, 320, 204, 264, 314, 5360, 275, 1943, 1824, 204, 264, 1943, 19, 1766, 68, 1735, 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, 264, 314, 778, 397, 275, 1943, 10094, 1824, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1735, 204, 264, 314, 5360, 275, 1943, 1629, 204, 264, 1943, 19, 1766, 68, 1633, 374, 204, 264, 314, 778, 397, 275, 1943, 10094, 1629, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1633, 204, 204, 8, 6119, 683, 311, 1356, 397, 275, 11709, 1040, 26588, 5728, 204, 461, 683, 68, 19335, 68, 765, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 11709, 1040, 19, 204, 615, 264, 334, 11709, 1040, 1856, 6342, 5728, 19, 204, 264, 320, 204, 264, 314, 778, 275, 1419, 11709, 1040, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 500, 204, 264, 314, 7415, 275, 11709, 1040, 204, 264, 1943, 19, 13926, 68, 19335, 68, 765, 374, 204, 264, 314, 778, 397, 275, 11709, 1040, 31874, 5728, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 368, 204, 0, 531, 589, 8991, 367, 532, 4923, 68, 647, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 647, 6699, 204, 204, 531, 3077, 558, 1723, 19, 2005, 68, 1723, 532, 12684, 3368, 204, 204, 676, 44639, 12642, 10254, 31, 204, 264, 320, 204, 264, 44639, 15868, 1893, 850, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 8808, 440, 275, 44639, 15868, 1893, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3923, 68, 1723, 31, 1535, 64, 38729, 66, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 44639, 12642, 10254, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 3923, 68, 1723, 322, 4437, 64, 38729, 1037, 334, 1893, 1545, 1014, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 828, 3923, 68, 1723, 353, 508, 1917, 17, 838, 273, 717, 1014, 204, 268, 370, 19, 2005, 68, 1723, 289, 3923, 68, 1723, 521, 12684, 3368, 374, 204, 204, 264, 436, 838, 68, 9468, 13075, 68, 7641, 13, 327, 17, 24998, 68, 359, 31, 394, 17, 4643, 68, 1443, 31, 1061, 17, 930, 2251, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 666, 273, 717, 44639, 15868, 19, 204, 204, 268, 457, 31, 204, 305, 24998, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 24998, 19, 204, 305, 4643, 68, 1443, 322, 1665, 330, 334, 824, 2484, 311, 838, 437, 44639, 15868, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 334, 1966, 44639, 15868, 1014, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 407, 68, 1942, 68, 481, 68, 6593, 5168, 311, 959, 204, 268, 6416, 28357, 3309, 68, 1942, 68, 481, 68, 6593, 839, 289, 959, 204, 822, 268, 314, 778, 397, 437, 27678, 824, 353, 1945, 204, 268, 397, 6416, 19, 505, 611, 6419, 68, 5711, 4448, 204, 305, 314, 828, 4470, 68, 5711, 353, 959, 17, 2428, 275, 838, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 1216, 204, 305, 407, 370, 806, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 17, 930, 2251, 14, 204, 268, 902, 31, 204, 305, 314, 828, 4470, 68, 5711, 353, 1078, 17, 2428, 275, 838, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 1216, 329, 407, 275, 424, 204, 305, 407, 370, 806, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 17, 930, 2251, 14, 204, 204, 264, 436, 906, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 327, 17, 24998, 68, 359, 31, 394, 17, 4643, 68, 1443, 31, 1061, 17, 930, 2251, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 666, 273, 717, 44639, 15868, 440, 3426, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 24998, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 24998, 19, 204, 305, 4643, 68, 1443, 322, 1665, 330, 334, 824, 2484, 311, 838, 437, 44639, 15868, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 334, 1966, 44639, 15868, 1014, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 838, 273, 717, 44639, 15868, 440, 3426, 1483, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 5581, 353, 1917, 204, 268, 4643, 289, 463, 204, 305, 379, 9468, 13075, 68, 359, 597, 24998, 68, 359, 17, 204, 305, 379, 7641, 68, 1443, 597, 4643, 68, 1443, 204, 268, 1211, 204, 268, 407, 4643, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3923, 68, 1723, 289, 12684, 3368, 374, 204, 264, 24998, 68, 7641, 68, 2005, 289, 44639, 12642, 10254, 13, 2005, 68, 1723, 14, 204, 264, 24998, 68, 359, 289, 388, 2569, 18, 9468, 13075, 18, 359, 7, 204, 264, 4643, 68, 1443, 289, 463, 204, 268, 379, 7641, 68, 417, 597, 379, 2569, 18, 7641, 491, 204, 268, 379, 7641, 68, 2749, 597, 379, 2569, 18, 7641, 18, 2749, 12, 204, 264, 1211, 204, 264, 1966, 68, 7641, 289, 24998, 68, 7641, 68, 2005, 19, 1510, 68, 9468, 13075, 68, 7641, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 14, 204, 264, 456, 13, 5903, 68, 7641, 14, 204, 0, 2841, 869, 1742, 273, 4382, 6675, 302, 3793, 13013, 311, 19200, 275, 1483, 18, 18939, 299, 6137, 302, 2712, 1627, 302, 3612, 19, 332, 1813, 302, 790, 12400, 17, 5862, 17, 24073, 4542, 6709, 17252, 440, 1483, 18, 18939, 299, 10114, 302, 1683, 24339, 675, 292, 275, 16589, 15606, 19, 1058, 9280, 17792, 275, 1563, 302, 273, 35537, 3220, 302, 1483, 18, 18939, 299, 4751, 887, 3534, 1683, 24339, 675, 630, 387, 43113, 1301, 47687, 865, 4639, 322, 56, 4961, 789, 334, 3220, 867, 7784, 311, 368, 14, 10647, 1683, 24339, 675, 12, 1483, 18, 18939, 299, 6137, 440, 9004, 301, 2685, 32, 435, 14, 7260, 275, 4263, 302, 19239, 5131, 329, 3353, 87, 26026, 292, 9535, 299, 1683, 24339, 675, 311, 21851, 1813, 6173, 32, 329, 571, 14, 12146, 275, 6108, 1283, 1683, 24339, 675, 292, 3099, 302, 1017, 2523, 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, 6978, 17, 12750, 1324, 17, 329, 10692, 19, 334, 3220, 1563, 17668, 496, 1698, 571, 10, 302, 1683, 24339, 675, 732, 275, 16589, 6171, 329, 19981, 36999, 311, 560, 275, 387, 4961, 667, 4712, 19, 592, 4998, 17, 275, 1563, 11724, 496, 14811, 19, 28, 10, 302, 275, 39080, 2459, 630, 387, 4961, 1376, 275, 7265, 1813, 3798, 348, 1017, 1419, 1813, 19, 3065, 353, 273, 12721, 2712, 1283, 39080, 2459, 292, 3099, 302, 1017, 2523, 329, 732, 302, 318, 18, 9315, 19, 16925, 17, 808, 3220, 1193, 275, 4263, 302, 19239, 5131, 329, 3353, 87, 26026, 292, 9535, 299, 1683, 24339, 675, 311, 4309, 1813, 10114, 353, 7510, 27401, 19, 204, 97, 10453, 302, 2442, 10103, 3742, 19573, 12003, 329, 12901, 2221, 4853, 5902, 292, 43368, 43798, 97, 204, 97, 4290, 302, 6214, 3742, 1845, 97, 204, 97, 35359, 1714, 3742, 30210, 338, 18269, 7207, 10072, 97, 204, 3845, 47, 40, 27656, 5615, 3397, 4549, 204, 18, 23975, 329, 12310, 1291, 13, 668, 14, 204, 18, 12060, 18452, 13, 668, 14, 204, 18, 17511, 8134, 13, 668, 14, 0, 647, 2802, 14860, 23890, 448, 22176, 204, 531, 23745, 532, 1137, 68, 14941, 204, 531, 3353, 19, 4266, 532, 636, 68, 17025, 17, 636, 68, 8125, 68, 20411, 68, 1270, 68, 481, 17, 497, 68, 16074, 68, 6270, 68, 1270, 68, 505, 68, 8125, 68, 481, 204, 204, 461, 636, 68, 20411, 68, 1270, 68, 481, 13, 5153, 68, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 5962, 1483, 424, 497, 6275, 1860, 19, 204, 204, 264, 457, 31, 204, 268, 9229, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6275, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5962, 1483, 424, 19, 204, 264, 320, 204, 264, 314, 763, 273, 458, 302, 13067, 497, 275, 1917, 832, 204, 264, 13067, 289, 636, 68, 17025, 13, 5153, 68, 553, 68, 546, 5604, 22, 5853, 204, 264, 314, 763, 275, 5962, 1483, 424, 497, 275, 13067, 204, 264, 407, 636, 68, 8125, 68, 20411, 68, 1270, 68, 481, 13, 17025, 17, 9229, 68, 553, 68, 546, 14, 204, 204, 461, 636, 68, 16074, 68, 6270, 68, 481, 13, 16074, 68, 6270, 68, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 5431, 3200, 424, 497, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 5431, 68, 6270, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 5431, 3200, 424, 497, 275, 1917, 832, 204, 264, 407, 497, 68, 16074, 68, 6270, 68, 1270, 68, 505, 68, 8125, 68, 481, 13, 546, 34, 16074, 68, 6270, 68, 553, 68, 546, 14, 204, 204, 461, 6879, 68, 20411, 68, 1270, 68, 481, 13, 20411, 68, 1270, 68, 481, 31, 458, 17, 5431, 68, 6270, 68, 481, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 28965, 5962, 1483, 424, 440, 5431, 3200, 424, 19, 204, 204, 264, 457, 31, 204, 268, 5962, 68, 1270, 68, 481, 322, 655, 330, 332, 458, 302, 5962, 1483, 424, 19, 204, 268, 5431, 68, 6270, 68, 481, 322, 655, 330, 332, 458, 302, 5431, 3200, 424, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 6116, 458, 302, 5962, 1483, 329, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 9761, 275, 970, 3330, 204, 264, 6116, 68, 481, 289, 5962, 68, 1270, 68, 481, 465, 5431, 68, 6270, 68, 481, 204, 264, 407, 6116, 68, 481, 204, 204, 461, 2281, 68, 20411, 68, 30397, 13, 20411, 68, 30397, 68, 553, 68, 546, 31, 394, 17, 6116, 68, 481, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 5962, 10065, 311, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 5962, 68, 30397, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 268, 6116, 68, 481, 322, 655, 330, 332, 458, 302, 6116, 5962, 1483, 329, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 9752, 204, 264, 27893, 289, 1137, 68, 14941, 13, 20411, 68, 30397, 68, 553, 68, 546, 14, 204, 264, 314, 763, 275, 1646, 1237, 542, 204, 264, 3015, 289, 27893, 736, 4803, 22, 3750, 1129, 68, 937, 204, 264, 314, 1861, 1048, 848, 1237, 204, 264, 348, 1237, 292, 933, 13, 22, 17, 3015, 465, 368, 330, 204, 268, 314, 1716, 5634, 4184, 204, 268, 314, 5634, 68, 3520, 19, 6667, 12392, 13, 937, 17, 846, 34, 3173, 14, 204, 268, 456, 13, 75, 12, 18055, 1237, 463, 937, 98, 17773, 204, 268, 314, 763, 275, 2092, 700, 204, 268, 2092, 68, 876, 289, 27893, 736, 4803, 22, 6970, 75, 12, 38, 96, 937, 98, 3750, 876, 204, 268, 810, 31, 204, 305, 314, 1986, 275, 2384, 1222, 204, 305, 2384, 68, 359, 289, 2092, 68, 876, 64, 2500, 31, 4462, 66, 204, 305, 314, 1861, 1048, 275, 6116, 424, 292, 4036, 1552, 204, 305, 348, 296, 292, 933, 13, 1796, 13, 13551, 68, 481, 14, 338, 368, 17, 338, 22, 17, 338, 22, 330, 204, 485, 2384, 68, 1270, 289, 6116, 68, 481, 64, 78, 66, 204, 485, 314, 778, 397, 275, 2384, 1222, 4083, 204, 485, 397, 2384, 68, 359, 564, 2384, 68, 1270, 64, 21, 744, 204, 895, 314, 1861, 1048, 275, 4207, 292, 275, 1237, 204, 895, 348, 781, 292, 933, 13, 23, 17, 2468, 330, 204, 2058, 314, 763, 275, 2092, 700, 204, 2058, 2092, 68, 876, 289, 27893, 736, 4803, 22, 6970, 75, 12, 38, 96, 937, 465, 781, 98, 3750, 876, 204, 2058, 314, 778, 397, 275, 2092, 700, 4083, 275, 1812, 700, 204, 2058, 397, 2092, 68, 876, 564, 379, 4256, 2615, 20326, 1984, 25917, 17983, 13445, 2134, 1251, 597, 204, 4511, 2280, 204, 2058, 314, 778, 397, 275, 2092, 700, 353, 292, 275, 2384, 3986, 204, 2058, 1677, 394, 13, 4039, 68, 876, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 292, 2384, 68, 1270, 31, 204, 4511, 314, 1716, 275, 2092, 1019, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 41, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 22, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 42, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 23, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 43, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 25, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 44, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 26, 66, 204, 4511, 456, 13, 75, 12, 10510, 2384, 463, 4865, 68, 359, 98, 440, 5962, 542, 463, 4039, 68, 876, 3501, 204, 4511, 314, 3182, 275, 2384, 3986, 497, 275, 6116, 424, 204, 4511, 6116, 68, 481, 19, 3377, 13, 78, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 12, 596, 5539, 1237, 463, 937, 2829, 463, 74, 3501, 204, 305, 3524, 204, 264, 314, 3025, 275, 9752, 204, 264, 27893, 19, 2360, 13, 20411, 68, 30397, 68, 553, 68, 546, 14, 204, 264, 314, 5706, 275, 9752, 204, 264, 27893, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 968, 275, 5328, 204, 264, 5328, 289, 551, 204, 268, 551, 4335, 19, 3430, 611, 5768, 5153, 12334, 22379, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 22881, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 5768, 7, 22776, 6883, 8310, 7, 9671, 12334, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 2597, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 5768, 7, 13721, 16040, 3579, 7, 9671, 12334, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 2597, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 6152, 31295, 26877, 204, 268, 551, 4335, 19, 27110, 12392, 13, 5758, 17, 11640, 833, 77, 491, 1302, 3644, 2169, 17, 1199, 659, 896, 833, 10404, 3520, 26877, 204, 268, 551, 4335, 19, 6059, 611, 6776, 6152, 491, 1302, 3644, 1003, 17, 368, 3917, 22176, 19, 6059, 611, 28317, 491, 1302, 3644, 1003, 17, 368, 12529, 204, 264, 2437, 204, 204, 264, 314, 666, 275, 2158, 204, 264, 2158, 289, 22176, 19, 5114, 611, 39969, 13721, 16040, 3579, 2677, 3664, 21005, 226, 7720, 2653, 491, 5328, 17, 8834, 833, 7125, 20, 85, 689, 7489, 19, 8493, 534, 204, 264, 314, 763, 275, 5634, 4184, 204, 264, 5634, 68, 3520, 289, 2158, 736, 10404, 3520, 839, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 1606, 275, 1643, 329, 1019, 204, 268, 1643, 17, 1019, 289, 2158, 19, 976, 374, 204, 268, 397, 1643, 292, 322, 3170, 17, 379, 28317, 4448, 204, 305, 2280, 204, 268, 810, 31, 204, 305, 314, 763, 275, 6275, 510, 832, 204, 305, 9229, 68, 553, 68, 546, 289, 1019, 64, 21, 66, 465, 22405, 204, 305, 314, 763, 275, 5962, 1483, 424, 204, 305, 5962, 68, 1270, 68, 481, 289, 636, 68, 20411, 68, 1270, 68, 481, 13, 5153, 68, 553, 68, 546, 14, 204, 305, 314, 763, 275, 5431, 3200, 510, 832, 204, 305, 5431, 68, 6270, 68, 553, 68, 546, 289, 1019, 64, 22, 66, 204, 305, 314, 763, 275, 5431, 3200, 424, 204, 305, 5431, 68, 6270, 68, 481, 289, 636, 68, 16074, 68, 6270, 68, 481, 13, 16074, 68, 6270, 68, 553, 68, 546, 14, 204, 305, 314, 9761, 275, 5962, 1483, 424, 329, 5431, 3200, 424, 204, 305, 6116, 68, 481, 289, 6879, 68, 20411, 68, 1270, 68, 481, 13, 20411, 68, 1270, 68, 481, 17, 5431, 68, 6270, 68, 481, 14, 204, 305, 314, 763, 275, 5962, 10065, 510, 832, 204, 305, 5962, 68, 30397, 68, 553, 68, 546, 289, 1019, 64, 23, 66, 204, 305, 314, 3400, 275, 5962, 10065, 204, 305, 2281, 68, 20411, 68, 30397, 13, 20411, 68, 30397, 68, 553, 68, 546, 17, 6116, 68, 481, 14, 204, 305, 314, 6426, 273, 29829, 204, 305, 22176, 19, 17566, 398, 611, 11514, 12023, 33313, 4134, 491, 1236, 68, 1778, 3520, 34, 1021, 17, 3550, 68, 271, 68, 2723, 34, 1021, 17, 5665, 68, 2640, 833, 28001, 534, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 74, 14, 204, 305, 314, 6426, 273, 29829, 204, 305, 22176, 19, 17566, 398, 611, 4796, 10717, 5768, 460, 12334, 35581, 9862, 16338, 4134, 491, 1236, 68, 1778, 3520, 34, 1021, 17, 3550, 68, 271, 68, 2723, 34, 1021, 17, 5665, 68, 2640, 833, 28001, 534, 204, 204, 264, 314, 5706, 275, 2158, 204, 264, 2158, 19, 3529, 374, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1437, 204, 647, 1437, 19, 2606, 19, 14213, 448, 472, 204, 531, 2821, 532, 29555, 204, 531, 520, 10324, 19, 809, 532, 15317, 46061, 204, 531, 520, 10324, 19, 47021, 532, 2680, 1219, 17560, 13308, 204, 531, 12325, 532, 636, 68, 3075, 204, 204, 676, 2680, 1219, 20613, 31, 204, 264, 320, 204, 264, 332, 850, 348, 1737, 273, 678, 18, 7245, 14686, 570, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 954, 31, 1135, 17, 2042, 34, 3170, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 2680, 1219, 20613, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 268, 338, 2042, 322, 9899, 330, 334, 1354, 18, 1054, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 1087, 289, 954, 204, 268, 370, 19, 3075, 289, 636, 68, 3075, 13, 1038, 19, 6995, 397, 2042, 902, 1078, 14, 204, 268, 370, 19, 809, 31, 15317, 46061, 289, 370, 806, 1510, 68, 809, 374, 204, 268, 370, 19, 7560, 289, 370, 806, 1510, 68, 7560, 374, 204, 268, 370, 19, 20908, 289, 1437, 19, 6938, 19, 2063, 19, 44, 9391, 11722, 374, 226, 314, 348, 23922, 9493, 18, 12258, 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, 370, 19, 2045, 68, 5270, 289, 370, 806, 3446, 68, 2045, 68, 5270, 374, 204, 268, 370, 19, 1219, 68, 4593, 289, 500, 204, 204, 264, 436, 906, 1510, 68, 809, 13, 327, 14, 393, 15317, 46061, 31, 204, 268, 320, 204, 268, 2605, 275, 678, 18, 7245, 14686, 570, 19, 204, 204, 268, 475, 31, 204, 268, 338, 15317, 46061, 31, 334, 678, 18, 7245, 14686, 570, 19, 204, 268, 320, 204, 268, 570, 289, 15317, 46061, 13, 204, 305, 17940, 68, 266, 34, 327, 19, 1087, 736, 7021, 68, 835, 2043, 204, 305, 10168, 68, 1796, 34, 327, 19, 1087, 736, 6734, 68, 1796, 2043, 204, 305, 33718, 68, 2230, 34, 327, 19, 1087, 736, 24102, 68, 2230, 2043, 204, 305, 3358, 68, 2230, 34, 327, 19, 1087, 736, 7726, 68, 2230, 2043, 204, 305, 17940, 68, 14057, 34, 327, 19, 1087, 736, 14600, 68, 14057, 2043, 204, 305, 1526, 68, 2230, 34, 327, 19, 1087, 736, 1885, 68, 2230, 2043, 204, 305, 17940, 68, 3814, 34, 327, 19, 1087, 736, 14600, 68, 3814, 2043, 204, 305, 17940, 68, 17814, 34, 23, 17, 204, 305, 8482, 34, 327, 19, 1087, 736, 10149, 2043, 204, 305, 7757, 34, 327, 19, 1087, 736, 2594, 68, 5915, 2043, 204, 305, 6005, 68, 932, 34, 327, 19, 1087, 736, 12857, 68, 932, 2043, 204, 268, 14647, 633, 13, 327, 19, 3075, 14, 204, 268, 407, 2680, 1219, 17560, 13308, 13, 809, 789, 633, 13, 327, 19, 3075, 14, 204, 204, 264, 436, 906, 1510, 68, 7560, 13, 327, 14, 393, 1437, 19, 4647, 19, 12967, 31, 204, 268, 320, 204, 268, 2605, 275, 14272, 4209, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 4647, 19, 12967, 31, 334, 14272, 4209, 19, 204, 268, 320, 204, 268, 407, 1437, 19, 4647, 19, 12967, 13, 327, 19, 809, 19, 3465, 2144, 10264, 34, 327, 19, 1087, 736, 6859, 68, 1949, 2378, 204, 204, 264, 436, 906, 3446, 68, 2045, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1395, 3133, 19, 204, 204, 268, 475, 31, 204, 268, 338, 421, 31, 334, 1395, 3133, 19, 204, 268, 320, 204, 268, 407, 29555, 13, 327, 19, 1087, 736, 2884, 68, 835, 839, 802, 370, 19, 1087, 736, 24113, 68, 2884, 68, 835, 2378, 204, 204, 264, 436, 906, 3446, 68, 23219, 68, 18158, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 1948, 68, 2185, 31, 1437, 19, 35168, 204, 264, 1179, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 18384, 3269, 20638, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 1948, 68, 2185, 322, 3109, 19, 35168, 330, 334, 1948, 1769, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 1556, 31, 334, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 18384, 3269, 20638, 2210, 204, 268, 18384, 68, 2119, 68, 3443, 289, 1948, 68, 2185, 3721, 500, 204, 268, 18384, 68, 10185, 289, 1948, 68, 2185, 64, 23219, 68, 2119, 68, 3443, 66, 204, 268, 18384, 68, 2119, 68, 11792, 289, 370, 19, 809, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 3208, 34, 12857, 68, 3497, 5604, 22, 1799, 23219, 68, 2119, 68, 3443, 66, 204, 268, 407, 472, 19, 9634, 68, 9450, 13, 23219, 68, 2119, 68, 11792, 17, 18384, 68, 10185, 14, 204, 204, 264, 436, 906, 3446, 68, 88, 760, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 4094, 68, 1115, 31, 1437, 19, 35168, 204, 264, 1179, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 4094, 1552, 4497, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 4094, 68, 1115, 322, 3109, 19, 35168, 330, 334, 4094, 1552, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 1556, 31, 334, 4094, 1552, 4497, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4094, 1552, 4497, 2210, 204, 268, 4963, 68, 11792, 289, 370, 19, 809, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 3208, 34, 12857, 68, 3497, 5604, 21, 66, 204, 268, 407, 472, 19, 9634, 68, 9450, 13, 4621, 68, 11792, 17, 4094, 68, 1115, 14, 204, 204, 264, 1642, 3109, 19, 6938, 19, 2063, 19, 2236, 912, 812, 374, 204, 264, 436, 906, 3446, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 1948, 68, 2185, 31, 1437, 19, 35168, 17, 4094, 68, 1115, 31, 1437, 19, 35168, 204, 264, 1179, 393, 927, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 1948, 68, 2185, 322, 3109, 19, 35168, 330, 334, 1948, 1769, 19, 204, 268, 338, 4094, 68, 1115, 322, 3109, 19, 35168, 330, 334, 4094, 1552, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4094, 1552, 4497, 2210, 204, 268, 754, 85, 68, 2650, 289, 370, 806, 3446, 68, 88, 760, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 4094, 68, 1115, 14, 204, 204, 268, 314, 888, 275, 18384, 3269, 20638, 2210, 204, 268, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 23219, 68, 18158, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 14, 204, 204, 268, 314, 888, 275, 1113, 2210, 204, 268, 1113, 68, 2650, 289, 754, 85, 68, 2650, 465, 18384, 68, 18158, 68, 2650, 204, 204, 268, 407, 1113, 68, 2650, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 436, 906, 18990, 68, 2884, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 16515, 88, 275, 2068, 329, 9935, 88, 490, 311, 275, 2322, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 37178, 2068, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 329, 9935, 490, 311, 275, 2322, 204, 268, 407, 927, 13, 3116, 19, 633, 13, 327, 19, 3075, 14, 348, 2162, 292, 2068, 14, 204, 204, 264, 436, 951, 68, 2290, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 1051, 1660, 302, 1737, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 204, 268, 537, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 17, 4094, 68, 1115, 289, 370, 806, 18990, 68, 2884, 13, 2884, 14, 204, 204, 268, 314, 1359, 275, 570, 311, 1737, 2291, 204, 268, 370, 19, 809, 19, 1219, 374, 204, 204, 268, 314, 888, 275, 2210, 204, 268, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 19, 2107, 2144, 1948, 68, 2185, 17, 4094, 68, 1115, 14, 204, 204, 268, 314, 12155, 275, 2210, 329, 13468, 204, 268, 370, 19, 20908, 19, 3782, 13, 2650, 802, 370, 19, 2045, 68, 5270, 789, 12242, 374, 204, 204, 268, 314, 1716, 275, 951, 3214, 204, 268, 370, 19, 1219, 68, 4593, 1412, 368, 204, 204, 268, 314, 1716, 275, 2072, 397, 3600, 204, 268, 397, 370, 19, 1219, 68, 4593, 1564, 370, 19, 2045, 68, 5270, 564, 500, 31, 204, 305, 370, 806, 2045, 68, 3465, 374, 204, 204, 268, 407, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 1642, 3109, 19, 1625, 68, 6164, 374, 204, 264, 436, 10712, 68, 2290, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 1051, 1660, 302, 6440, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 204, 268, 537, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 17, 4094, 68, 1115, 289, 370, 806, 18990, 68, 2884, 13, 2884, 14, 204, 204, 268, 314, 1359, 275, 570, 311, 6440, 2291, 204, 268, 370, 19, 809, 19, 6844, 374, 204, 204, 268, 314, 888, 275, 2210, 204, 268, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 19, 2107, 2144, 1948, 68, 2185, 17, 4094, 68, 1115, 14, 204, 204, 268, 407, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 436, 906, 2045, 68, 3465, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 2072, 974, 275, 22513, 11431, 19, 204, 268, 320, 204, 268, 314, 1687, 275, 4209, 204, 268, 370, 19, 20908, 19, 2290, 13, 327, 19, 7560, 14, 204, 204, 268, 314, 1716, 275, 11850, 204, 268, 370, 19, 20908, 19, 2045, 374, 204, 204, 268, 314, 7628, 275, 11431, 204, 268, 370, 19, 7560, 19, 5306, 68, 6164, 374, 204, 204, 264, 436, 2106, 68, 9488, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9716, 275, 570, 7974, 19, 204, 204, 268, 457, 31, 204, 268, 338, 832, 322, 325, 330, 334, 832, 311, 2106, 275, 7974, 19, 204, 268, 320, 204, 268, 314, 3025, 275, 570, 1259, 955, 204, 268, 1437, 19, 2360, 13, 327, 19, 809, 19, 1512, 68, 873, 2144, 832, 14, 204, 204, 264, 436, 1137, 68, 9488, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5984, 275, 570, 7974, 19, 204, 204, 268, 457, 31, 204, 268, 338, 832, 322, 325, 330, 334, 832, 311, 1137, 275, 7974, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 570, 1259, 955, 204, 268, 370, 19, 809, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 546, 602, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 275, 1586, 204, 264, 954, 289, 463, 204, 268, 379, 7021, 68, 835, 597, 3861, 17, 204, 268, 379, 6734, 68, 1796, 597, 12251, 17, 204, 268, 379, 24102, 68, 2230, 597, 7328, 17, 204, 268, 379, 7726, 68, 2230, 597, 7569, 17, 204, 268, 379, 14600, 68, 14057, 597, 1132, 17, 204, 268, 379, 1885, 68, 2230, 597, 5737, 17, 204, 268, 379, 14600, 68, 3814, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 597, 887, 17, 204, 268, 379, 10149, 597, 500, 19, 22, 17, 204, 268, 379, 2594, 68, 5915, 597, 959, 17, 204, 268, 379, 12857, 68, 932, 597, 379, 13050, 68, 3005, 68, 2572, 491, 204, 268, 379, 6859, 68, 1949, 597, 368, 74, 18, 25, 17, 204, 268, 379, 2884, 68, 835, 597, 4236, 17, 204, 268, 379, 24113, 68, 2884, 68, 835, 597, 2247, 17, 204, 264, 1211, 204, 204, 264, 314, 666, 275, 11136, 204, 264, 11136, 289, 2680, 1219, 20613, 13, 1087, 14, 204, 204, 264, 314, 666, 273, 11330, 2068, 204, 264, 2068, 289, 322, 204, 268, 1437, 19, 5574, 13, 21, 17, 3861, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 2422, 22, 17, 3861, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 41441, 204, 264, 1179, 204, 204, 264, 314, 3055, 273, 1737, 1660, 204, 264, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 11136, 19, 1219, 68, 2290, 13, 2884, 14, 204, 264, 456, 13, 75, 7, 9473, 31, 463, 2650, 19, 1271, 22215, 25, 75, 1522, 387, 9927, 11205, 31, 463, 88, 760, 68, 2650, 19, 1271, 22215, 25, 75, 1522, 21075, 336, 34183, 11205, 31, 463, 23219, 68, 18158, 68, 2650, 19, 1271, 22215, 25, 75, 743, 204, 204, 264, 314, 3055, 437, 6440, 1660, 204, 264, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 11136, 19, 6844, 68, 2290, 13, 2884, 14, 204, 264, 456, 13, 75, 7, 9473, 31, 463, 2650, 19, 1271, 22215, 25, 75, 1522, 387, 9927, 11205, 31, 463, 88, 760, 68, 2650, 19, 1271, 22215, 25, 75, 1522, 21075, 336, 34183, 11205, 31, 463, 23219, 68, 18158, 68, 2650, 19, 1271, 22215, 25, 75, 743, 204, 0, 647, 2044, 23, 204, 647, 1361, 204, 647, 4378, 204, 25730, 19, 598, 499, 36546, 431, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 805, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 311, 1137, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 17, 521, 443, 397, 4644, 5585, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 752, 974, 13198, 204, 268, 3840, 289, 2044, 23, 19, 10465, 13, 935, 68, 805, 14, 204, 268, 314, 2208, 275, 752, 497, 33912, 311, 10292, 204, 268, 3840, 289, 2044, 23, 19, 13104, 13, 3371, 17, 2044, 23, 19, 6828, 68, 13219, 23, 12685, 14, 204, 268, 407, 3840, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 1882, 4644, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 1137, 752, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 11552, 374, 393, 927, 31, 204, 264, 320, 204, 264, 666, 20266, 440, 571, 2630, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 4368, 329, 2327, 8648, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4368, 440, 571, 20266, 204, 264, 2836, 17, 322, 1474, 22, 17, 1711, 23, 17, 1711, 24, 14, 289, 1513, 19, 11552, 13, 22, 17, 571, 14, 204, 264, 314, 1359, 275, 4368, 1302, 204, 264, 2836, 19, 574, 68, 835, 68, 22520, 13, 29, 17, 887, 14, 204, 264, 407, 2836, 17, 1711, 22, 17, 1711, 23, 17, 1711, 24, 204, 204, 461, 1807, 68, 935, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 437, 752, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 752, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 3740, 275, 752, 523, 275, 3138, 204, 264, 1711, 19, 8122, 13, 3371, 14, 204, 264, 314, 8174, 2258, 275, 3138, 204, 264, 1711, 19, 3399, 499, 3008, 431, 204, 204, 461, 1807, 68, 22657, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 17, 15376, 31, 645, 19, 766, 17, 41610, 68, 2199, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 15376, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 15376, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 275, 15376, 523, 19, 204, 268, 15376, 322, 1123, 19, 766, 330, 334, 15376, 311, 1807, 19, 204, 268, 41610, 68, 2199, 322, 655, 330, 334, 1987, 302, 275, 15376, 19, 204, 264, 320, 204, 264, 314, 3045, 848, 41610, 204, 264, 348, 917, 17, 588, 292, 4337, 13, 22657, 17, 41610, 68, 2199, 330, 204, 268, 314, 4456, 273, 3620, 630, 275, 41610, 2852, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 339, 13, 1096, 64, 21, 5060, 421, 13, 1096, 64, 22, 23850, 1132, 17, 322, 21, 17, 7569, 17, 4580, 659, 204, 13429, 13276, 8981, 22, 17, 1007, 2191, 34, 4869, 23, 19, 21009, 9249, 14, 204, 268, 314, 4456, 275, 41610, 588, 1682, 311, 275, 3620, 204, 268, 2044, 23, 19, 28412, 13, 3371, 17, 11465, 14303, 2478, 13, 417, 659, 322, 339, 13, 1096, 64, 21, 694, 465, 931, 17, 421, 13, 1096, 64, 22, 694, 465, 931, 659, 204, 895, 2044, 23, 19, 14340, 68, 29398, 68, 36958, 17, 500, 19, 26, 17, 322, 4808, 17, 4580, 17, 7569, 659, 368, 17, 1007, 2191, 34, 4869, 23, 19, 14244, 68, 7690, 14, 204, 264, 314, 3045, 275, 752, 440, 15376, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1807, 68, 935, 13, 1474, 17, 3840, 14, 204, 204, 461, 1807, 68, 36332, 88, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 17, 15376, 31, 645, 19, 766, 17, 20984, 68, 12373, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 20984, 88, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 20984, 88, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 275, 20984, 88, 523, 19, 204, 268, 15376, 322, 1123, 19, 766, 330, 334, 15376, 311, 1807, 19, 204, 268, 20984, 68, 12373, 322, 655, 330, 334, 7369, 1283, 15376, 19, 204, 264, 320, 204, 264, 314, 3045, 848, 41610, 204, 264, 348, 917, 292, 15376, 31, 204, 268, 314, 4456, 273, 3620, 630, 275, 41610, 2852, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 339, 13, 1096, 64, 21, 5060, 421, 13, 1096, 64, 22, 23850, 1132, 17, 322, 21, 17, 7569, 17, 4580, 659, 204, 13429, 13276, 8981, 22, 17, 1007, 2191, 34, 4869, 23, 19, 21009, 9249, 14, 204, 264, 314, 3045, 848, 20984, 1727, 204, 264, 348, 1727, 292, 20984, 68, 12373, 31, 204, 268, 314, 763, 275, 970, 15376, 292, 275, 1727, 204, 268, 917, 68, 70, 289, 15376, 64, 2602, 64, 21, 2629, 204, 268, 917, 68, 71, 289, 15376, 64, 2602, 64, 22, 2629, 204, 268, 314, 4456, 273, 1007, 1283, 275, 970, 15376, 204, 268, 2044, 23, 19, 1054, 13, 3371, 17, 322, 339, 13, 1096, 68, 70, 64, 21, 5060, 421, 13, 1096, 68, 70, 64, 22, 23850, 204, 1095, 322, 339, 13, 1096, 68, 71, 64, 21, 5060, 421, 13, 1096, 68, 71, 64, 22, 23850, 322, 4808, 17, 4580, 17, 7569, 659, 435, 14, 204, 264, 314, 3045, 275, 752, 440, 20984, 88, 204, 264, 1807, 68, 935, 13, 1474, 17, 3840, 14, 204, 204, 461, 8603, 68, 3473, 13, 935, 68, 805, 31, 394, 17, 22484, 68, 20162, 31, 645, 19, 766, 17, 846, 68, 3992, 31, 645, 19, 766, 17, 846, 68, 876, 31, 818, 17, 41610, 68, 2199, 31, 458, 17, 20984, 68, 12373, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12626, 11139, 15376, 329, 20984, 88, 523, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 311, 8603, 19, 204, 268, 22484, 68, 20162, 322, 1123, 19, 766, 330, 334, 22484, 6220, 311, 3120, 311, 275, 15376, 19, 204, 268, 846, 68, 3992, 322, 1123, 19, 766, 330, 334, 3265, 302, 275, 1646, 1019, 19, 204, 268, 846, 68, 876, 322, 996, 330, 334, 1646, 700, 19, 204, 268, 41610, 68, 2199, 322, 655, 330, 334, 1987, 302, 275, 15376, 19, 204, 268, 20984, 68, 12373, 322, 655, 330, 334, 7369, 1283, 15376, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 752, 204, 264, 3840, 289, 1137, 68, 935, 13, 935, 68, 805, 14, 204, 264, 397, 3840, 353, 443, 31, 204, 268, 314, 828, 275, 752, 5585, 311, 1137, 17, 407, 204, 268, 407, 204, 204, 264, 314, 666, 20266, 204, 264, 2836, 17, 1711, 22, 17, 1711, 23, 17, 1711, 24, 289, 838, 68, 11552, 374, 204, 264, 314, 1359, 275, 4368, 1724, 204, 264, 2836, 19, 44503, 499, 2683, 2160, 348, 14761, 2478, 13, 935, 68, 805, 659, 15398, 1022, 93, 18, 13092, 431, 204, 204, 264, 314, 5278, 368, 31, 2171, 752, 204, 264, 314, 13070, 275, 752, 204, 264, 3840, 22, 289, 2044, 23, 19, 9522, 13, 3371, 17, 322, 6372, 17, 12251, 659, 12313, 34, 4869, 23, 19, 9917, 68, 14244, 1801, 14, 204, 264, 314, 3045, 275, 752, 204, 264, 1807, 68, 935, 13, 1474, 22, 17, 3840, 22, 14, 204, 204, 264, 314, 5278, 435, 329, 571, 31, 43272, 752, 204, 264, 314, 36157, 275, 22484, 6220, 204, 264, 6276, 68, 33090, 289, 645, 19, 11450, 19, 11334, 13, 33090, 68, 20162, 14, 204, 264, 314, 666, 273, 1525, 302, 1728, 311, 3204, 204, 264, 1728, 68, 633, 68, 4072, 289, 645, 19, 3535, 1802, 1796, 13, 1129, 68, 3992, 659, 571, 602, 204, 264, 1728, 68, 633, 68, 4072, 3460, 1164, 23, 66, 289, 645, 19, 643, 13, 1129, 68, 3992, 14, 540, 681, 19, 21, 204, 264, 314, 3291, 275, 6276, 22484, 6220, 204, 264, 7834, 68, 2160, 289, 645, 19, 3005, 13, 16145, 68, 33090, 17, 1728, 68, 633, 68, 4072, 19, 57, 789, 57, 3460, 1164, 23, 66, 204, 264, 314, 666, 273, 43272, 752, 204, 264, 43272, 68, 3371, 289, 322, 21, 19, 26, 540, 3840, 789, 7532, 13, 1123, 19, 9283, 29, 14, 204, 204, 264, 314, 5278, 435, 31, 15376, 204, 264, 314, 10235, 275, 43272, 752, 204, 264, 3840, 23, 289, 43272, 68, 3371, 19, 3462, 374, 204, 264, 314, 3045, 275, 15376, 204, 264, 1807, 68, 22657, 13, 1474, 23, 17, 3840, 23, 17, 7834, 68, 2160, 17, 41610, 68, 2199, 14, 204, 204, 264, 314, 5278, 571, 31, 20984, 88, 204, 264, 314, 10235, 275, 43272, 752, 204, 264, 3840, 24, 289, 43272, 68, 3371, 19, 3462, 374, 204, 264, 314, 3045, 275, 20984, 88, 204, 264, 1807, 68, 36332, 88, 13, 1474, 24, 17, 3840, 24, 17, 7834, 68, 2160, 17, 20984, 68, 12373, 14, 204, 204, 264, 314, 14312, 275, 31989, 204, 264, 1513, 19, 11552, 68, 16026, 13, 2723, 34, 22, 17, 5533, 34, 21, 19, 3222, 17, 1629, 34, 21, 19, 4966, 17, 1824, 34, 21, 19, 5559, 17, 373, 2816, 34, 21, 17, 306, 2816, 34, 21, 19, 4779, 14, 204, 264, 1513, 19, 34167, 1679, 13, 21, 17, 500, 14, 204, 204, 264, 314, 3025, 275, 4368, 204, 264, 2106, 68, 805, 289, 752, 68, 805, 19, 1590, 45045, 21, 66, 465, 12895, 3473, 19, 5684, 7, 204, 264, 1513, 19, 12273, 13, 2360, 68, 805, 14, 204, 264, 1361, 19, 1270, 499, 22910, 1613, 292, 14761, 2478, 13, 2360, 68, 805, 602, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 564, 891, 660, 894, 204, 264, 752, 68, 805, 289, 388, 546, 68, 633, 68, 7941, 68, 935, 19, 5684, 7, 204, 264, 22484, 68, 20162, 289, 645, 19, 643, 8963, 22, 17, 500, 17, 500, 648, 551, 21, 17, 368, 17, 500, 648, 551, 21, 17, 500, 17, 368, 4097, 204, 264, 846, 68, 3992, 289, 645, 19, 643, 8963, 1003, 17, 931, 648, 551, 1036, 17, 1199, 648, 551, 2188, 17, 2468, 4097, 204, 264, 846, 68, 876, 289, 368, 19, 21, 204, 264, 41610, 68, 2199, 289, 3134, 644, 1096, 22, 528, 388, 644, 1096, 23, 528, 388, 644, 1096, 24, 1339, 204, 264, 20984, 68, 12373, 289, 5787, 21, 17, 368, 648, 551, 22, 17, 435, 2629, 204, 264, 8603, 68, 3473, 13, 935, 68, 805, 17, 22484, 68, 20162, 17, 846, 68, 3992, 17, 846, 68, 876, 17, 41610, 68, 2199, 17, 20984, 68, 12373, 14, 204, 0, 461, 1040, 68, 3641, 68, 633, 68, 5934, 68, 3573, 13, 1129, 68, 4589, 68, 13437, 31, 421, 17, 846, 68, 2051, 68, 13437, 31, 421, 17, 846, 68, 1719, 68, 13437, 31, 421, 17, 1029, 68, 3949, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 974, 8593, 302, 21992, 5106, 17, 1607, 17, 329, 2753, 19, 204, 204, 264, 457, 31, 204, 268, 846, 68, 4589, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 5106, 8593, 19, 204, 268, 846, 68, 2051, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 1607, 8593, 19, 204, 268, 846, 68, 1719, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 2753, 8593, 19, 204, 268, 1029, 68, 3949, 322, 339, 330, 334, 1029, 1690, 311, 1895, 2652, 348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1554, 311, 1640, 275, 542, 302, 3942, 311, 1895, 2652, 204, 264, 3942, 68, 633, 68, 5934, 68, 3573, 289, 500, 204, 615, 264, 314, 1861, 1048, 830, 2237, 5687, 302, 8593, 204, 264, 348, 296, 292, 933, 13, 1129, 68, 4589, 68, 13437, 465, 368, 330, 204, 268, 348, 781, 292, 933, 13, 1129, 68, 2051, 68, 13437, 465, 368, 330, 204, 305, 348, 724, 292, 933, 13, 1129, 68, 1719, 68, 13437, 465, 368, 330, 204, 485, 314, 778, 397, 275, 790, 5660, 8598, 719, 311, 275, 1029, 1690, 204, 485, 397, 296, 540, 5106, 465, 781, 540, 1607, 465, 724, 540, 2753, 564, 1029, 68, 3949, 31, 204, 895, 314, 828, 490, 1583, 17, 6342, 275, 4328, 204, 895, 3942, 68, 633, 68, 5934, 68, 3573, 1412, 368, 204, 20943, 264, 407, 3942, 68, 633, 68, 5934, 68, 3573, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 3596, 275, 575, 537, 348, 275, 1646, 542, 302, 8593, 329, 275, 1029, 1690, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1646, 542, 302, 5106, 8593, 17, 1607, 8593, 17, 2753, 8593, 17, 329, 275, 1029, 1690, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1646, 542, 302, 8593, 329, 275, 1029, 1690, 497, 275, 575, 204, 305, 846, 68, 4589, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 5106, 8593, 31, 4091, 204, 305, 846, 68, 2051, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 1607, 8593, 31, 4091, 204, 305, 846, 68, 1719, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 2753, 8593, 31, 4091, 204, 305, 1029, 68, 3949, 289, 421, 13, 768, 499, 2101, 275, 1029, 1690, 31, 4091, 204, 3123, 305, 314, 778, 397, 275, 1029, 1690, 353, 1950, 18, 4721, 204, 305, 397, 1029, 68, 3949, 962, 500, 31, 204, 485, 456, 499, 12118, 1690, 2950, 444, 2917, 19, 2982, 810, 2528, 1280, 204, 305, 902, 31, 204, 485, 407, 846, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 1892, 1698, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 6944, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 537, 204, 264, 846, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 289, 636, 68, 816, 68, 768, 374, 204, 615, 264, 314, 888, 275, 542, 302, 3942, 311, 1895, 2652, 204, 264, 3942, 68, 633, 68, 5934, 68, 3573, 289, 1040, 68, 3641, 68, 633, 68, 5934, 68, 3573, 13, 1129, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 2841, 529, 463, 3641, 68, 633, 68, 5934, 68, 3573, 98, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 1280, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4104, 204, 647, 1127, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 461, 1151, 68, 11824, 13609, 68, 6240, 13, 7488, 68, 1217, 31, 394, 17, 758, 68, 835, 31, 421, 14, 393, 322, 1218, 64, 339, 648, 1061, 64, 339, 17, 783, 64, 339, 3795, 204, 264, 320, 204, 264, 4143, 26069, 2744, 497, 2306, 1860, 292, 275, 5991, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 5991, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 2306, 1860, 19, 204, 268, 758, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 758, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 273, 458, 302, 26069, 908, 16126, 329, 273, 955, 302, 16284, 274, 3824, 908, 16126, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 311, 1640, 26069, 329, 16284, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 274, 3824, 908, 16126, 204, 264, 26069, 68, 5823, 68, 20595, 289, 1306, 204, 264, 16284, 274, 3824, 68, 5823, 68, 20595, 289, 2087, 204, 264, 510, 68, 920, 289, 500, 204, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 5991, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 7488, 68, 1217, 330, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7488, 68, 1217, 17, 510, 14, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 4578, 204, 305, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 485, 4104, 68, 6439, 289, 4104, 19, 6439, 13, 2039, 68, 553, 17, 9336, 43159, 204, 485, 314, 10248, 275, 3494, 1237, 204, 485, 1682, 13, 2039, 68, 6439, 17, 443, 14, 204, 485, 348, 1237, 292, 4104, 68, 6439, 31, 204, 895, 314, 888, 275, 6468, 542, 204, 895, 6468, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 21, 694, 338, 435, 14, 204, 895, 314, 778, 348, 26069, 2744, 204, 895, 397, 421, 13, 937, 64, 22, 694, 564, 500, 329, 6468, 508, 292, 26069, 68, 5823, 68, 20595, 31, 204, 2058, 26069, 68, 5823, 68, 20595, 19, 1223, 13, 6406, 14, 204, 895, 314, 778, 348, 16284, 274, 3824, 2744, 204, 895, 397, 421, 13, 937, 64, 23, 694, 2167, 500, 329, 421, 13, 937, 64, 23, 694, 2167, 25086, 31, 204, 2058, 292, 68, 6406, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 23, 694, 338, 758, 68, 835, 338, 368, 14, 204, 2058, 685, 68, 6406, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 24, 694, 338, 435, 14, 204, 2058, 397, 6468, 508, 292, 16284, 274, 3824, 68, 5823, 68, 20595, 31, 204, 4511, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 66, 289, 551, 607, 68, 6406, 66, 204, 2058, 1677, 292, 68, 6406, 508, 292, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 744, 204, 4511, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 1664, 1223, 13, 607, 68, 6406, 14, 204, 305, 314, 3182, 275, 510, 1877, 5539, 204, 305, 1127, 19, 3956, 13, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 456, 13, 75, 7, 2597, 463, 553, 98, 508, 1193, 1280, 204, 268, 827, 4104, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 6673, 2306, 510, 463, 553, 2829, 463, 74, 743, 204, 204, 268, 510, 68, 920, 1412, 368, 204, 204, 264, 314, 455, 275, 2282, 458, 302, 26069, 908, 16126, 329, 275, 955, 302, 16284, 274, 3824, 908, 16126, 204, 264, 407, 2282, 13, 11824, 13609, 68, 5823, 68, 20595, 659, 16284, 274, 3824, 68, 5823, 68, 20595, 204, 204, 204, 461, 1151, 68, 1289, 84, 68, 2286, 21560, 13, 7488, 68, 1217, 31, 394, 17, 1112, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 480, 4701, 29977, 497, 2306, 1860, 292, 275, 5991, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 5991, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 2306, 1860, 19, 204, 268, 1112, 322, 325, 330, 334, 1112, 311, 1813, 348, 292, 275, 2306, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 332, 782, 1174, 275, 480, 4701, 29977, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1554, 311, 1640, 275, 480, 4701, 29977, 204, 264, 317, 2663, 68, 2286, 21560, 289, 3026, 204, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 5991, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 7488, 68, 1217, 330, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7488, 68, 1217, 17, 510, 14, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 4578, 204, 305, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 485, 4104, 68, 6439, 289, 4104, 19, 6439, 13, 2039, 68, 553, 17, 9336, 43159, 204, 485, 348, 1237, 292, 4104, 68, 6439, 31, 204, 895, 314, 778, 397, 275, 1237, 3192, 275, 1112, 204, 895, 397, 1237, 64, 21, 66, 564, 1112, 31, 204, 2058, 314, 1986, 275, 480, 4701, 29977, 497, 275, 1237, 204, 2058, 317, 2663, 68, 2286, 21560, 289, 388, 5161, 1541, 13, 937, 64, 22, 31, 28, 694, 204, 305, 314, 3182, 275, 510, 1877, 5539, 204, 305, 1127, 19, 3956, 13, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 456, 13, 75, 7, 2597, 463, 553, 98, 508, 1193, 1280, 204, 268, 827, 4104, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 6673, 2306, 510, 463, 553, 2829, 463, 74, 743, 204, 204, 264, 314, 455, 275, 480, 4701, 29977, 204, 264, 407, 317, 2663, 68, 2286, 21560, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 2002, 1445, 204, 264, 2002, 68, 1217, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 264, 314, 968, 275, 5991, 7887, 204, 264, 5991, 68, 1217, 22, 289, 1127, 19, 546, 19, 1541, 13, 3396, 68, 1217, 17, 388, 7488, 22, 431, 204, 264, 5991, 68, 1217, 23, 289, 1127, 19, 546, 19, 1541, 13, 3396, 68, 1217, 17, 388, 7488, 23, 431, 204, 204, 264, 314, 1606, 26069, 2744, 497, 5991, 1445, 368, 204, 264, 26069, 68, 5823, 68, 20595, 17, 16284, 274, 3824, 68, 5823, 68, 20595, 289, 1151, 68, 11824, 13609, 68, 6240, 13, 7488, 68, 1217, 22, 17, 5789, 14, 204, 264, 456, 499, 23438, 13609, 908, 16126, 2180, 26069, 68, 5823, 68, 20595, 14, 204, 264, 456, 499, 43701, 274, 3824, 908, 16126, 2180, 16284, 274, 3824, 68, 5823, 68, 20595, 14, 204, 204, 264, 314, 1606, 480, 4701, 29977, 497, 5991, 1445, 435, 204, 264, 317, 2663, 68, 2286, 21560, 289, 1151, 68, 1289, 84, 68, 2286, 21560, 13, 7488, 68, 1217, 23, 17, 388, 998, 431, 204, 264, 456, 499, 49, 4701, 29977, 2180, 317, 2663, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2286, 21560, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 531, 303, 13005, 68, 70, 738, 82, 3912, 19, 3814, 19, 1420, 68, 2594, 68, 772, 532, 3215, 9384, 3295, 204, 531, 303, 13005, 68, 70, 738, 82, 3912, 19, 3076, 19, 1420, 68, 1241, 68, 11180, 532, 3215, 2533, 8444, 204, 204, 676, 3215, 9384, 8444, 13, 8116, 9384, 3295, 330, 204, 264, 320, 204, 264, 332, 6058, 919, 2522, 348, 275, 412, 21101, 18, 38, 9285, 50, 7206, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 300, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 268, 300, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 292, 275, 2522, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 204, 268, 370, 17, 716, 268, 1737, 68, 481, 31, 645, 19, 766, 17, 716, 268, 683, 68, 481, 31, 645, 19, 766, 17, 716, 268, 1737, 68, 3037, 31, 645, 19, 766, 17, 716, 268, 1737, 68, 3960, 31, 645, 19, 766, 17, 716, 268, 300, 68, 4077, 31, 421, 17, 716, 268, 4798, 31, 645, 19, 8863, 289, 645, 19, 996, 2177, 204, 264, 1179, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 3215, 9384, 8444, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1737, 68, 481, 322, 1123, 19, 766, 330, 334, 1737, 424, 19, 204, 305, 683, 68, 481, 322, 1123, 19, 766, 330, 334, 683, 424, 19, 204, 305, 1737, 68, 3037, 322, 1123, 19, 766, 330, 334, 1869, 302, 275, 1737, 424, 19, 204, 305, 1737, 68, 3960, 322, 1123, 19, 766, 330, 334, 2599, 5432, 302, 275, 1737, 424, 19, 204, 305, 300, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 305, 4798, 322, 1123, 19, 8863, 17, 1448, 330, 334, 424, 1187, 19, 1243, 311, 645, 19, 996, 2177, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1034, 850, 440, 683, 424, 204, 268, 2234, 3853, 924, 889, 804, 68, 481, 14, 204, 822, 268, 314, 1359, 275, 542, 302, 4645, 329, 2731, 204, 268, 370, 19, 83, 68, 4077, 289, 300, 68, 4077, 204, 268, 370, 19, 83, 68, 3076, 289, 368, 204, 822, 268, 314, 666, 437, 919, 944, 348, 6058, 204, 268, 919, 68, 1241, 289, 3215, 2533, 8444, 13, 204, 305, 1737, 68, 481, 17, 683, 68, 481, 17, 1737, 68, 3037, 17, 1737, 68, 3960, 17, 300, 68, 4077, 17, 4798, 204, 268, 1179, 204, 822, 268, 314, 1255, 275, 919, 944, 311, 275, 2522, 204, 268, 370, 19, 826, 68, 1241, 13, 1420, 68, 1241, 14, 204, 204, 264, 436, 1672, 68, 531, 68, 4396, 545, 68, 8053, 13, 327, 17, 4645, 68, 558, 68, 1096, 31, 421, 289, 368, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 30439, 497, 275, 37424, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 4645, 68, 558, 68, 1096, 322, 339, 17, 1448, 330, 334, 542, 302, 4645, 841, 917, 19, 1243, 311, 368, 19, 204, 204, 268, 475, 31, 204, 305, 645, 19, 766, 31, 334, 15948, 1019, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1043, 944, 322, 24018, 1422, 677, 1698, 1051, 944, 292, 808, 2522, 14, 204, 268, 314, 329, 1672, 497, 1163, 37424, 3272, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 2393, 68, 531, 68, 4396, 545, 68, 8053, 13, 4077, 68, 558, 68, 1096, 14, 204, 204, 264, 436, 636, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 327, 17, 469, 68, 1309, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 3596, 275, 37424, 3272, 348, 6768, 610, 1019, 19, 204, 204, 268, 457, 31, 204, 305, 469, 68, 1309, 322, 1123, 19, 766, 330, 334, 469, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 645, 19, 766, 31, 334, 37424, 3272, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1043, 944, 322, 24018, 1422, 677, 1698, 1051, 944, 292, 808, 2522, 14, 204, 268, 314, 329, 636, 1163, 37424, 3272, 348, 6768, 610, 1019, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 505, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 94, 68, 1309, 14, 204, 204, 264, 436, 949, 68, 761, 68, 16664, 68, 26510, 13, 327, 14, 393, 927, 31, 204, 268, 320, 204, 268, 3989, 275, 711, 11872, 329, 29696, 348, 273, 6058, 1844, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 711, 11872, 329, 29696, 19, 204, 268, 320, 204, 268, 314, 778, 397, 1422, 677, 1698, 1051, 944, 292, 275, 2522, 204, 268, 397, 1245, 13, 327, 19, 505, 68, 1241, 68, 655, 1447, 2167, 368, 31, 204, 305, 980, 987, 499, 1834, 2522, 1856, 1698, 874, 1051, 944, 431, 204, 822, 268, 314, 763, 275, 711, 11872, 329, 29696, 497, 275, 1043, 944, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 3446, 68, 761, 4995, 4925, 68, 26510, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1400, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 1737, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 368, 14, 204, 264, 683, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 1719, 17, 368, 14, 204, 264, 1737, 68, 3037, 289, 645, 19, 3037, 13, 5135, 68, 481, 17, 3138, 34, 21, 14, 204, 264, 1737, 68, 3960, 289, 645, 19, 3960, 13, 5135, 68, 481, 17, 3138, 34, 21, 14, 204, 615, 264, 314, 666, 437, 1014, 302, 3215, 9384, 8444, 204, 264, 919, 68, 2594, 289, 3215, 9384, 8444, 13, 204, 268, 1737, 68, 481, 17, 683, 68, 481, 17, 1737, 68, 3037, 17, 1737, 68, 3960, 17, 300, 68, 4077, 34, 2051, 204, 264, 1179, 204, 615, 264, 314, 8111, 497, 275, 37424, 3272, 204, 264, 4645, 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, 919, 68, 2594, 19, 2393, 68, 531, 68, 4396, 545, 68, 8053, 13, 4077, 68, 558, 68, 1096, 34, 1003, 14, 204, 264, 456, 499, 12342, 88, 497, 37424, 3272, 2212, 204, 264, 456, 13, 4077, 14, 204, 615, 264, 314, 763, 275, 37424, 3272, 348, 6768, 610, 1019, 204, 264, 469, 68, 1309, 289, 645, 19, 2017, 19, 2329, 13, 1003, 17, 368, 14, 204, 264, 37424, 68, 8053, 289, 919, 68, 2594, 19, 505, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 94, 68, 1309, 14, 204, 264, 456, 499, 19603, 545, 3272, 348, 6768, 610, 1019, 2212, 204, 264, 456, 13, 4396, 545, 68, 8053, 14, 204, 615, 264, 314, 888, 275, 711, 11872, 329, 29696, 204, 264, 711, 68, 16664, 17, 28239, 289, 919, 68, 2594, 19, 3446, 68, 761, 68, 16664, 68, 26510, 374, 204, 264, 456, 499, 3044, 11872, 329, 29696, 2212, 204, 264, 456, 13, 75, 7, 3044, 11872, 31, 463, 761, 68, 16664, 1522, 29696, 31, 463, 26510, 743, 204, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1884, 204, 204, 676, 4161, 395, 17263, 21300, 1185, 6574, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2349, 31, 1246, 19, 1362, 330, 204, 268, 320, 204, 268, 977, 275, 4161, 395, 17263, 21300, 1185, 4651, 19, 204, 204, 268, 457, 31, 204, 305, 2349, 322, 2600, 19, 1362, 330, 334, 537, 3135, 19, 204, 268, 320, 204, 268, 370, 19, 1695, 289, 2349, 204, 204, 264, 436, 1900, 68, 271, 395, 17263, 21300, 1185, 68, 768, 68, 2375, 13, 327, 17, 919, 68, 3810, 31, 394, 14, 393, 1884, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 204, 268, 320, 204, 268, 2069, 537, 1860, 348, 523, 395, 17263, 21300, 1185, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 1950, 13041, 329, 7787, 17329, 19, 204, 268, 320, 204, 268, 314, 5988, 329, 15549, 2630, 204, 268, 4285, 68, 3786, 289, 370, 19, 1695, 18810, 45, 811, 84, 68, 23618, 491, 379, 36342, 68, 18983, 491, 379, 57, 37429, 68, 12342, 68, 12392, 1181, 491, 379, 5055, 5543, 68, 1701, 491, 379, 32986, 491, 379, 1560, 6466, 68, 1932, 11653, 204, 268, 4285, 68, 3786, 19, 3786, 289, 2470, 6701, 491, 379, 12342, 491, 379, 57, 37429, 68, 12342, 68, 12392, 1181, 491, 379, 24229, 491, 379, 11819, 491, 379, 1932, 839, 204, 204, 268, 314, 2069, 1950, 13041, 329, 7787, 17329, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 268, 407, 1950, 13041, 68, 553, 17, 7787, 68, 553, 204, 204, 264, 436, 1523, 68, 271, 395, 17263, 21300, 1185, 68, 2196, 13, 327, 17, 919, 68, 3810, 31, 394, 17, 1950, 13041, 68, 553, 31, 1246, 19, 1362, 17, 7787, 68, 553, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 523, 395, 17263, 21300, 1185, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 305, 1950, 13041, 68, 553, 322, 2600, 19, 1362, 330, 334, 1950, 13041, 3135, 19, 204, 305, 7787, 68, 553, 322, 2600, 19, 1362, 330, 334, 7787, 3135, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 3025, 537, 1860, 311, 9457, 204, 268, 1950, 13041, 68, 553, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 388, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 3186, 12779, 20265, 89, 491, 1112, 34, 1975, 14, 204, 268, 7787, 68, 553, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 388, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 3186, 12779, 20265, 89, 491, 1112, 34, 1975, 14, 204, 204, 268, 314, 1198, 1978, 943, 204, 268, 456, 499, 24830, 2069, 4161, 395, 17263, 21300, 1185, 677, 537, 1860, 2212, 204, 268, 456, 13, 75, 7, 262, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 20611, 204, 268, 456, 13, 75, 7, 262, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 534, 2277, 83, 431, 204, 204, 268, 314, 2466, 523, 395, 17263, 21300, 1185, 1354, 204, 268, 1354, 289, 322, 204, 305, 283, 7, 271, 395, 17263, 836, 707, 338, 82, 571, 5187, 26188, 72, 6934, 20, 17328, 17084, 68, 553, 20, 21377, 40, 68, 48780, 19, 20015, 388, 204, 305, 283, 1954, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 30188, 388, 204, 305, 283, 1954, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 30188, 388, 204, 305, 283, 7, 6422, 20, 17328, 17084, 68, 553, 20, 11819, 68, 24229, 88, 19, 20015, 338, 84, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 836, 707, 68, 2826, 19, 20015, 43394, 204, 268, 1179, 204, 268, 1127, 19, 4038, 13, 2196, 14, 204, 204, 264, 436, 1900, 68, 416, 68, 1777, 68, 271, 395, 17263, 21300, 1185, 13, 327, 17, 919, 68, 3810, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2069, 537, 1860, 348, 523, 395, 17263, 21300, 1185, 329, 1523, 275, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2069, 537, 1860, 204, 305, 1950, 13041, 68, 553, 17, 7787, 68, 553, 289, 370, 19, 4776, 68, 271, 395, 17263, 21300, 1185, 68, 768, 68, 2375, 13, 1420, 68, 3810, 14, 204, 204, 305, 314, 2466, 523, 395, 17263, 21300, 1185, 1354, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 370, 19, 1777, 68, 271, 395, 17263, 21300, 1185, 68, 2196, 13, 1420, 68, 3810, 17, 1950, 13041, 68, 553, 17, 7787, 68, 553, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1672, 3135, 204, 264, 424, 289, 463, 204, 268, 379, 45, 811, 84, 68, 23618, 597, 2470, 6701, 22, 491, 379, 6701, 23, 2043, 204, 268, 379, 36342, 68, 18983, 597, 2470, 12499, 22, 491, 379, 12499, 23, 2043, 204, 268, 379, 57, 37429, 68, 12342, 68, 12392, 1181, 597, 2470, 33987, 22, 491, 379, 33987, 23, 2043, 204, 268, 379, 5055, 5543, 68, 1701, 597, 2470, 24229, 22, 491, 379, 24229, 23, 2043, 204, 268, 379, 32986, 597, 2470, 11819, 22, 491, 379, 11819, 23, 2043, 204, 268, 379, 1560, 6466, 68, 1932, 597, 2470, 1932, 22, 491, 379, 1932, 23, 839, 204, 264, 1211, 204, 264, 2349, 289, 1246, 19, 1362, 13, 481, 14, 204, 204, 264, 314, 666, 437, 1014, 302, 4161, 395, 17263, 21300, 1185, 6574, 204, 264, 4651, 289, 4161, 395, 17263, 21300, 1185, 6574, 13, 1695, 14, 204, 204, 264, 314, 2069, 329, 1523, 523, 395, 17263, 21300, 1185, 204, 264, 919, 68, 3810, 289, 379, 1420, 12, 204, 264, 1127, 19, 8240, 13, 1420, 68, 3810, 17, 1337, 68, 779, 34, 1021, 14, 204, 264, 4651, 19, 4776, 68, 416, 68, 1777, 68, 271, 395, 17263, 21300, 1185, 13, 1420, 68, 3810, 14, 204, 0, 647, 5683, 204, 531, 469, 269, 8078, 532, 1358, 269, 8078, 204, 204, 8, 968, 3454, 348, 11192, 886, 204, 62, 1119, 63, 62, 68, 28743, 289, 2753, 204, 204, 461, 683, 68, 32398, 68, 2224, 68, 25965, 1293, 204, 264, 320, 204, 264, 1295, 275, 9151, 2279, 4183, 19, 204, 204, 264, 334, 9151, 2279, 353, 275, 1066, 302, 830, 8445, 1019, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 1792, 8445, 1019, 204, 264, 2136, 1358, 269, 8078, 19, 32398, 13, 22, 17, 435, 17, 571, 17, 681, 17, 720, 14, 564, 2153, 204, 264, 2136, 1358, 269, 8078, 19, 32398, 13, 22, 17, 368, 17, 571, 17, 571, 17, 887, 14, 564, 2905, 204, 264, 2136, 1358, 269, 8078, 19, 32398, 13, 25, 17, 720, 17, 720, 17, 887, 17, 368, 14, 564, 4839, 204, 204, 37, 6598, 19, 8999, 204, 461, 469, 269, 8078, 68, 1648, 1293, 204, 264, 320, 204, 264, 666, 273, 1358, 269, 8078, 1014, 348, 2907, 19, 204, 204, 264, 475, 31, 204, 268, 1358, 269, 8078, 31, 332, 1358, 269, 8078, 1014, 440, 8445, 1019, 368, 17, 435, 17, 571, 17, 681, 17, 720, 19, 204, 264, 320, 204, 264, 407, 1358, 269, 8078, 13, 22, 17, 435, 17, 571, 17, 681, 17, 720, 14, 204, 204, 461, 683, 68, 75, 2483, 68, 2224, 68, 25965, 13, 94, 269, 8078, 68, 1648, 31, 1358, 269, 8078, 330, 204, 264, 320, 204, 264, 1295, 275, 283, 2483, 2279, 4183, 19, 204, 204, 264, 334, 283, 2483, 2279, 353, 275, 1066, 302, 830, 283, 2483, 292, 275, 8445, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 273, 1358, 269, 8078, 1014, 204, 264, 1812, 68, 2224, 289, 681, 204, 264, 2136, 469, 269, 8078, 68, 1648, 19, 75, 2483, 374, 564, 1812, 68, 2224, 204, 204, 461, 683, 68, 94, 269, 8078, 68, 2224, 68, 25965, 1293, 204, 264, 320, 204, 264, 1295, 275, 469, 269, 8078, 2279, 4183, 19, 204, 204, 264, 334, 469, 269, 8078, 2279, 353, 1358, 1119, 63, 62, 68, 28743, 397, 830, 8445, 874, 275, 1729, 700, 17, 2130, 500, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 1097, 537, 204, 264, 2136, 1358, 269, 8078, 19, 94, 269, 8078, 1568, 25, 17, 681, 17, 681, 17, 681, 17, 681, 694, 564, 1358, 1119, 63, 62, 68, 28743, 204, 264, 2136, 1358, 269, 8078, 19, 94, 269, 8078, 1568, 23, 17, 435, 17, 435, 17, 435, 17, 435, 694, 564, 1358, 1119, 63, 62, 68, 28743, 204, 264, 314, 1295, 440, 2872, 537, 204, 264, 2136, 1358, 269, 8078, 19, 94, 269, 8078, 1568, 22, 17, 720, 17, 887, 17, 571, 17, 435, 694, 564, 500, 204, 204, 461, 683, 68, 3535, 68, 2224, 68, 25965, 1293, 204, 264, 320, 204, 264, 1295, 275, 6399, 2279, 4183, 19, 204, 204, 264, 334, 6399, 2279, 353, 275, 1066, 302, 830, 6399, 292, 275, 8445, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 1792, 8445, 1019, 204, 264, 2136, 1358, 269, 8078, 19, 3535, 13, 22, 17, 435, 17, 571, 17, 368, 17, 681, 14, 564, 435, 204, 204, 461, 683, 68, 13545, 865, 68, 2224, 68, 25965, 1293, 204, 264, 320, 204, 264, 1295, 275, 4829, 865, 2279, 4183, 19, 204, 204, 264, 334, 4829, 865, 2279, 353, 275, 1066, 302, 830, 4829, 865, 292, 275, 8445, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 1792, 8445, 1019, 204, 264, 2136, 1358, 269, 8078, 19, 13545, 865, 13, 22, 17, 435, 17, 435, 17, 681, 17, 571, 14, 564, 681, 204, 204, 461, 683, 68, 5947, 68, 2224, 68, 25965, 1293, 204, 264, 320, 204, 264, 1295, 275, 3868, 2279, 4183, 19, 204, 204, 264, 334, 3868, 2279, 353, 275, 1066, 302, 275, 970, 6862, 4125, 292, 275, 8445, 19, 204, 264, 320, 204, 264, 314, 1295, 440, 1792, 8445, 1019, 204, 264, 2136, 1358, 269, 8078, 19, 2224, 68, 5947, 13, 22, 17, 368, 17, 887, 17, 435, 17, 887, 14, 564, 1598, 204, 264, 2136, 1358, 269, 8078, 19, 2224, 68, 5947, 13, 24, 17, 571, 17, 571, 17, 681, 17, 681, 14, 564, 1132, 204, 0, 658, 2026, 311, 1974, 275, 10773, 7823, 12082, 292, 6057, 204, 204, 673, 10773, 7823, 2089, 292, 6057, 353, 1376, 311, 1814, 273, 542, 1068, 521, 10570, 424, 322, 74, 19, 76, 19, 1489, 17, 690, 17, 273, 542, 440, 273, 8037, 4414, 14, 1025, 1163, 13598, 10570, 700, 19, 204, 204, 1380, 2935, 353, 275, 10773, 7823, 12082, 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, 6057, 36, 204, 204, 673, 10773, 7823, 2089, 353, 437, 6057, 741, 496, 7894, 872, 311, 636, 275, 13598, 700, 302, 10570, 424, 521, 1068, 292, 6057, 19, 1547, 618, 444, 1376, 311, 1967, 275, 10570, 700, 497, 273, 1068, 782, 496, 3192, 10570, 424, 19, 204, 204, 1380, 2026, 311, 3400, 275, 10773, 7823, 12082, 204, 204, 673, 10773, 7823, 2089, 618, 444, 5052, 448, 6353, 31, 204, 204, 69, 34, 11372, 13, 12011, 68, 481, 68, 276, 68, 12011, 68, 492, 9059, 204, 204, 11142, 1758, 12011, 68, 481, 68, 276, 68, 12011, 68, 492, 69, 353, 275, 537, 700, 496, 872, 3480, 311, 1814, 311, 273, 10570, 700, 19, 204, 204, 1380, 23069, 311, 1974, 275, 10773, 7823, 12082, 204, 204, 22, 19, 2838, 437, 1936, 1574, 31950, 34, 33939, 292, 275, 2092, 1273, 872, 3480, 311, 4481, 1214, 10773, 7823, 722, 19, 204, 23, 19, 2838, 1758, 11372, 69, 322, 4453, 444, 292, 12617, 521, 9236, 6072, 14, 329, 437, 1451, 14764, 1574, 31950, 13, 33939, 1877, 275, 1936, 1574, 19, 204, 24, 19, 4429, 275, 10570, 424, 521, 10570, 1068, 496, 872, 3480, 311, 636, 275, 542, 700, 497, 19, 204, 25, 19, 2838, 273, 3671, 14764, 1574, 31950, 9059, 789, 204, 26, 19, 8931, 11612, 19, 204, 204, 1380, 1165, 302, 4496, 275, 10773, 7823, 12082, 204, 204, 3070, 1763, 17, 397, 872, 874, 273, 1068, 782, 496, 3192, 273, 1489, 17, 1702, 448, 388, 3222, 20, 3222, 20, 8409, 528, 872, 618, 732, 275, 10773, 7823, 2089, 311, 1967, 275, 10570, 700, 302, 275, 1489, 19, 334, 2089, 1784, 444, 31, 204, 204, 69, 34, 11372, 499, 3222, 20, 3222, 20, 8409, 431, 69, 204, 204, 1834, 1784, 407, 275, 10570, 700, 302, 275, 1489, 17, 928, 353, 275, 2806, 542, 302, 275, 1489, 292, 6057, 19, 204, 204, 1380, 22165, 204, 204, 15, 334, 10773, 7823, 2089, 618, 444, 1376, 311, 1814, 1489, 329, 690, 424, 311, 1017, 2806, 886, 292, 6057, 19, 204, 15, 334, 2806, 542, 353, 275, 10570, 700, 496, 6057, 5018, 311, 1173, 7163, 329, 2666, 19, 204, 15, 334, 10773, 7823, 2089, 618, 1425, 444, 1376, 311, 1814, 1068, 3157, 496, 918, 10570, 424, 17, 1702, 448, 8037, 8822, 521, 16772, 17, 311, 1017, 13598, 10570, 1019, 19, 0, 50, 30218, 13891, 529, 4037, 3556, 448, 275, 2347, 25804, 302, 275, 2092, 1101, 292, 3718, 1250, 529, 3171, 1182, 9764, 1194, 496, 19, 852, 997, 557, 311, 275, 3299, 752, 292, 33080, 302, 4672, 7746, 9901, 17, 32797, 13891, 529, 3303, 3556, 311, 444, 32183, 8175, 17, 2665, 9793, 17, 283, 6298, 329, 8631, 5575, 311, 275, 43534, 302, 3263, 1250, 2811, 292, 275, 2092, 19, 4253, 3303, 17, 292, 273, 3220, 311, 444, 6193, 292, 275, 10315, 16476, 13186, 25743, 17, 8849, 292, 18461, 329, 42613, 2248, 496, 32797, 13891, 618, 1425, 444, 11897, 348, 275, 14807, 302, 4207, 1882, 7443, 19, 204, 49, 352, 1257, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 329, 15677, 1389, 46970, 3084, 84, 1193, 496, 1330, 16415, 529, 34708, 17, 32797, 13891, 1622, 48630, 1001, 329, 33031, 4141, 273, 20343, 1499, 2364, 496, 353, 3171, 1182, 6184, 15247, 2796, 11439, 4207, 311, 3524, 7497, 2219, 523, 3060, 5680, 16415, 19, 204, 673, 13209, 302, 808, 1622, 45833, 12622, 14285, 1001, 353, 8578, 3287, 1330, 572, 2506, 275, 29621, 542, 302, 9745, 3610, 440, 3490, 292, 32797, 13891, 448, 501, 38132, 2317, 275, 3220, 884, 88, 1043, 2799, 14450, 2317, 388, 1947, 13209, 302, 808, 717, 6137, 618, 1340, 451, 292, 273, 3196, 302, 832, 30432, 560, 6154, 717, 10114, 311, 3326, 275, 14807, 302, 275, 4207, 3855, 311, 4516, 1475, 311, 8527, 11379, 3498, 448, 490, 3459, 292, 13454, 285, 41682, 9745, 2090, 25143, 17, 521, 311, 3506, 1017, 794, 29886, 14807, 2090, 5298, 292, 6427, 3582, 204, 50, 30218, 13891, 529, 29621, 3389, 404, 793, 322, 13130, 1491, 25888, 9901, 789, 23174, 78, 18, 2236, 26787, 17, 1250, 874, 1017, 3346, 8998, 448, 2590, 448, 275, 30722, 311, 6626, 16065, 17, 329, 529, 12551, 311, 874, 1742, 5602, 6403, 18052, 496, 17, 6253, 12432, 336, 560, 5261, 17, 11959, 8287, 38695, 322, 1520, 1910, 302, 1017, 16065, 529, 7758, 560, 275, 1622, 4056, 1001, 26735, 8998, 789, 592, 4998, 311, 1017, 896, 4263, 292, 275, 5627, 302, 2796, 348, 830, 3307, 3263, 17, 32797, 13891, 529, 1425, 3287, 292, 5741, 17, 521, 17, 1182, 12361, 17, 292, 28100, 386, 7593, 17, 273, 1187, 302, 2092, 1622, 2919, 16324, 1001, 11897, 348, 275, 2484, 884, 88, 2519, 4383, 338, 448, 490, 8290, 14119, 302, 4207, 496, 529, 3299, 329, 19593, 18, 329, 1163, 10436, 338, 560, 30733, 13977, 521, 6427, 1399, 4207, 19, 204, 7990, 3389, 404, 793, 1425, 874, 437, 2220, 8175, 6137, 2317, 20816, 5751, 17, 8631, 329, 283, 6298, 2317, 928, 6876, 1475, 273, 8372, 302, 3263, 2614, 275, 2092, 19, 204, 3070, 1763, 3403, 978, 9372, 11898, 302, 42956, 32797, 13891, 4636, 4430, 17, 7510, 2090, 6132, 35912, 17, 529, 11897, 348, 26225, 1101, 1425, 311, 17306, 19593, 32797, 13891, 19, 472, 6145, 322, 17529, 659, 523, 275, 904, 1922, 17, 353, 3287, 311, 838, 717, 32797, 13891, 1882, 2092, 4854, 1101, 1425, 311, 10010, 4207, 19, 1547, 353, 808, 8175, 3188, 1283, 26401, 329, 283, 6145, 496, 6876, 32797, 13891, 311, 12965, 311, 275, 47679, 20117, 302, 275, 2092, 1101, 1425, 311, 437, 7921, 18, 30362, 1964, 329, 490, 353, 1425, 292, 808, 3188, 322, 276, 8608, 302, 490, 14, 496, 8849, 8732, 49070, 1910, 302, 275, 6306, 311, 32797, 13891, 18, 10653, 9745, 19, 3846, 9504, 275, 19115, 8944, 1605, 1622, 1827, 18, 12024, 1001, 529, 13405, 4199, 275, 3263, 1250, 2512, 32797, 13891, 311, 2811, 529, 3848, 4935, 497, 2545, 8106, 14733, 19, 204, 10173, 696, 616, 94, 17, 348, 1763, 17, 353, 3161, 25888, 1352, 496, 869, 1742, 4201, 311, 32797, 13891, 19, 15296, 3483, 5268, 1622, 327, 18, 5707, 580, 299, 1001, 322, 696, 616, 1257, 3210, 7801, 580, 14, 6545, 696, 616, 94, 353, 6456, 311, 43511, 3299, 17, 19593, 521, 2842, 8557, 9901, 329, 13473, 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, 448, 2590, 448, 13776, 22804, 2090, 10637, 560, 1622, 12743, 299, 1001, 1475, 6204, 376, 301, 3950, 19, 1547, 618, 1425, 1340, 311, 29653, 440, 7443, 17, 348, 1763, 1330, 16415, 529, 34708, 329, 275, 2092, 353, 8140, 1780, 17, 560, 819, 42057, 299, 1950, 18, 44841, 25888, 4550, 311, 43511, 348, 21924, 19, 204, 7002, 1335, 32797, 13891, 618, 444, 1622, 5707, 24915, 1001, 1882, 6545, 696, 616, 94, 1422, 529, 3149, 657, 496, 1250, 618, 448, 2590, 18715, 292, 275, 1352, 329, 808, 353, 2075, 480, 352, 1257, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 329, 15677, 1389, 46970, 3084, 84, 497, 275, 412, 335, 24326, 395, 18, 29733, 2227, 10249, 329, 275, 20208, 310, 1516, 10249, 302, 36137, 15053, 17, 415, 5802, 10560, 17, 18461, 329, 275, 8540, 348, 25596, 17776, 329, 13186, 25743, 17, 4639, 302, 1212, 449, 4733, 17, 42613, 19200, 292, 275, 3220, 3303, 6193, 19, 204, 4931, 2223, 8352, 20894, 3462, 329, 560, 27291, 1429, 46964, 16065, 440, 32867, 31859, 501, 38132, 329, 18987, 1466, 5096, 311, 3234, 32797, 13891, 1882, 6545, 696, 616, 94, 322, 32789, 560, 8140, 1780, 4207, 292, 275, 17804, 14, 311, 3020, 1475, 13405, 42622, 756, 283, 6298, 311, 798, 2482, 978, 9372, 11898, 19, 33947, 5795, 275, 1729, 867, 1425, 5298, 292, 19617, 8140, 1462, 348, 1598, 3658, 26968, 496, 808, 867, 273, 2318, 19012, 19, 2416, 12146, 275, 741, 302, 1605, 46964, 11898, 501, 38132, 329, 18987, 6911, 560, 17318, 275, 13473, 8033, 292, 1017, 13941, 311, 1675, 2254, 1429, 302, 1475, 329, 17219, 275, 1563, 19, 204, 13239, 1193, 496, 1330, 26401, 867, 19058, 275, 4207, 10564, 3171, 43623, 1683, 8140, 25635, 11263, 496, 32797, 13891, 42622, 344, 867, 17, 35412, 17, 23361, 1475, 19, 204, 26913, 17944, 11724, 496, 42622, 756, 32797, 13891, 1466, 6327, 3171, 1182, 6639, 15247, 44702, 2317, 275, 2796, 8037, 302, 275, 2092, 19, 592, 3718, 17, 44702, 353, 7758, 560, 273, 8782, 3250, 44702, 446, 292, 1622, 36035, 1001, 8441, 523, 437, 7599, 14119, 2669, 21862, 302, 275, 32797, 13891, 19, 501, 38132, 17, 46970, 3084, 84, 329, 18987, 1193, 496, 42622, 756, 32797, 13891, 508, 1698, 2080, 6863, 6096, 302, 14119, 1110, 322, 416, 754, 1182, 1622, 36035, 27014, 1101, 1425, 1017, 44702, 446, 1466, 4636, 292, 4125, 4461, 1475, 3171, 1182, 6184, 15247, 44702, 19, 4087, 42622, 756, 32797, 13891, 560, 2545, 3171, 1182, 6184, 974, 275, 4764, 2755, 4675, 4207, 311, 8386, 5741, 560, 8140, 25635, 348, 3171, 6397, 19, 204, 673, 7476, 1425, 2909, 630, 275, 4207, 1466, 32797, 13891, 1466, 292, 46915, 302, 283, 6298, 329, 311, 1017, 24429, 1605, 32797, 13891, 13, 496, 8608, 275, 5960, 311, 798, 5256, 717, 44702, 14, 1012, 311, 1622, 72, 1311, 1156, 281, 594, 1001, 275, 2796, 302, 275, 4207, 329, 17782, 10010, 1475, 19, 204, 7990, 1563, 2248, 1662, 32797, 13891, 8175, 2665, 329, 4147, 353, 11897, 311, 2075, 6965, 437, 7921, 18, 40089, 542, 302, 896, 11793, 560, 32797, 13891, 292, 275, 2092, 19, 204, 673, 17973, 302, 501, 38132, 329, 46970, 3084, 84, 884, 88, 12074, 529, 1910, 19, 3433, 881, 311, 275, 2861, 29161, 458, 302, 46964, 3263, 292, 275, 2092, 32, 497, 15247, 2796, 329, 292, 7438, 2092, 27284, 322, 21077, 386, 7593, 659, 572, 3303, 2379, 496, 32797, 13891, 618, 1340, 2092, 14807, 292, 4042, 302, 7443, 329, 529, 1085, 302, 6545, 696, 616, 94, 19, 12859, 696, 616, 94, 329, 28100, 386, 7593, 529, 11897, 6332, 311, 6618, 25888, 2941, 1081, 13450, 17, 448, 2590, 448, 311, 22860, 275, 2484, 4238, 22804, 448, 24157, 448, 9490, 329, 6427, 19, 502, 30218, 13891, 1977, 311, 1855, 302, 1475, 618, 1012, 23061, 275, 4372, 1508, 17050, 542, 302, 9745, 3610, 311, 21901, 14213, 32797, 13891, 497, 25143, 884, 88, 329, 34954, 884, 88, 311, 6427, 521, 2219, 2202, 13735, 832, 30432, 1702, 448, 11765, 329, 16078, 19, 592, 3718, 17, 25198, 292, 32797, 13891, 741, 529, 3303, 4201, 311, 1048, 1607, 9745, 329, 275, 458, 12946, 311, 3437, 19, 204, 2551, 311, 3126, 4037, 32797, 13891, 448, 2590, 448, 275, 11793, 329, 19115, 302, 26401, 329, 283, 6145, 338, 2090, 501, 38132, 329, 18987, 884, 3220, 3756, 338, 618, 17782, 2512, 8849, 329, 9375, 12501, 311, 23912, 1605, 1352, 39438, 32797, 13891, 311, 6024, 3651, 2667, 292, 273, 43534, 302, 9745, 19, 204, 990, 1834, 353, 2075, 353, 754, 25444, 1465, 9728, 3793, 17, 928, 353, 754, 1910, 2666, 13277, 5329, 448, 273, 10590, 302, 5132, 338, 5366, 501, 38132, 338, 2404, 292, 3718, 572, 529, 15816, 19115, 754, 9728, 348, 3307, 496, 29391, 45510, 1451, 717, 29316, 348, 2667, 329, 4614, 19, 204, 2310, 2842, 1519, 311, 5190, 1475, 690, 2152, 1001, 204, 40, 6279, 31, 480, 352, 1257, 346, 19, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 11, 42164, 1389, 46970, 3084, 84, 17, 388, 16901, 6545, 696, 616, 94, 32797, 13891, 42622, 316, 17, 529, 297, 8292, 497, 30571, 329, 9708, 2092, 6139, 3423, 528, 16476, 13186, 25743, 17, 9923, 931, 17, 9635, 17, 17393, 31, 1003, 19, 1003, 5049, 20, 13388, 71, 2898, 1036, 204, 18, 22095, 62, 1815, 21425, 387, 7691, 33444, 204, 18, 471, 1801, 2504, 387, 7691, 33444, 204, 18, 480, 9377, 42, 387, 7691, 33444, 204, 18, 16563, 27527, 387, 7691, 33444, 204, 23325, 2115, 311, 275, 32049, 204, 15940, 94, 292, 11108, 440, 275, 8615, 2688, 6, 204, 41328, 8134, 4253, 595, 608, 2416, 3400, 36, 204, 18, 16898, 313, 965, 347, 6565, 4982, 334, 20255, 3300, 270, 12320, 3682, 204, 18, 40410, 15053, 31, 2767, 9870, 5608, 628, 466, 3242, 26705, 650, 48977, 24813, 204, 18, 5672, 18942, 10107, 502, 11182, 953, 2527, 338, 17561, 3421, 16956, 3659, 338, 22263, 24674, 10107, 12121, 5424, 17790, 293, 17561, 204, 18, 392, 3341, 70, 4253, 30962, 2416, 4908, 11270, 28045, 28881, 10433, 27913, 319, 27524, 1224, 19, 204, 18, 41377, 15328, 20522, 6513, 2416, 334, 548, 19, 56, 19, 10143, 5293, 4596, 13884, 1613, 36, 204, 18, 22753, 18, 21885, 26237, 16089, 27673, 1765, 25723, 5424, 346, 1239, 30777, 415, 48470, 471, 402, 3198, 204, 18, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 387, 25395, 41797, 24884, 10107, 7609, 7356, 4453, 323, 24467, 592, 1358, 35725, 204, 18, 388, 5009, 529, 17508, 1043, 4659, 2075, 572, 874, 1742, 719, 4238, 19, 382, 2842, 3480, 311, 4627, 311, 1429, 302, 1605, 1880, 32883, 204, 18, 388, 29991, 20921, 8604, 7, 204, 18, 388, 26652, 382, 4006, 2964, 2379, 2075, 275, 5665, 521, 275, 5127, 348, 490, 353, 17, 1101, 1330, 382, 3756, 275, 12214, 18719, 32883, 204, 18, 388, 4947, 1422, 1169, 9151, 808, 1784, 1225, 523, 10554, 39653, 36, 3433, 1741, 508, 13832, 7918, 46839, 13859, 32883, 204, 18, 388, 1834, 353, 6300, 560, 275, 2631, 3220, 17, 928, 5398, 10471, 2669, 275, 2717, 302, 8879, 1330, 331, 6900, 32883, 204, 36025, 4596, 8135, 375, 8278, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 6643, 324, 612, 36206, 7308, 31, 332, 4847, 1545, 348, 17322, 440, 20999, 612, 36206, 5194, 1279, 204, 204, 647, 8685, 204, 647, 1361, 204, 647, 1127, 204, 647, 2454, 204, 531, 1498, 532, 1535, 17, 1884, 204, 204, 531, 5838, 8036, 532, 1893, 204, 531, 5838, 8036, 19, 6240, 532, 415, 3439, 18963, 596, 17, 7242, 596, 17, 4864, 1016, 8036, 596, 204, 204, 8, 1385, 13515, 1483, 497, 1964, 2558, 204, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 31, 394, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 431, 204, 1815, 3738, 4663, 4688, 11604, 68, 12986, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 12986, 431, 204, 1815, 3738, 4663, 4688, 11604, 68, 9778, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 9778, 431, 204, 204, 461, 1137, 68, 5719, 68, 5592, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1385, 13515, 1483, 497, 1964, 2558, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1945, 1964, 2558, 529, 508, 758, 19, 204, 264, 320, 204, 264, 1945, 68, 5592, 289, 3134, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 1339, 204, 264, 348, 1554, 292, 1945, 68, 5592, 31, 204, 268, 397, 508, 1127, 19, 4969, 19, 505, 13, 3334, 330, 204, 305, 980, 987, 13, 75, 7, 11690, 1554, 463, 3334, 98, 353, 508, 758, 1280, 204, 204, 6419, 436, 636, 68, 816, 68, 7272, 374, 393, 1884, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 275, 575, 677, 20999, 612, 36206, 1692, 1995, 329, 1482, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 325, 17, 394, 744, 332, 927, 1174, 275, 575, 677, 1692, 329, 1482, 19, 204, 264, 320, 204, 264, 314, 778, 397, 4997, 529, 2861, 758, 448, 1964, 2558, 204, 264, 397, 16766, 3738, 4663, 4688, 11604, 68, 12986, 329, 16766, 3738, 4663, 4688, 11604, 68, 9778, 31, 204, 268, 407, 16766, 3738, 4663, 4688, 11604, 68, 12986, 17, 16766, 3738, 4663, 4688, 11604, 68, 9778, 204, 204, 264, 314, 13485, 275, 575, 348, 4997, 204, 264, 1692, 289, 537, 499, 3728, 353, 1214, 20999, 612, 36206, 1692, 1995, 36, 2810, 204, 264, 1482, 289, 537, 499, 3728, 353, 1214, 20999, 612, 36206, 1692, 1482, 36, 2810, 204, 264, 407, 1692, 17, 1482, 204, 204, 6419, 436, 2924, 68, 633, 68, 3847, 1016, 23338, 2970, 13, 2302, 31, 394, 17, 1482, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8196, 311, 20999, 612, 36206, 974, 275, 1917, 4997, 19, 204, 204, 264, 457, 31, 204, 268, 1692, 322, 325, 330, 334, 575, 677, 20999, 612, 36206, 1692, 1995, 19, 204, 268, 1482, 322, 325, 330, 334, 575, 677, 20999, 612, 36206, 1482, 19, 204, 204, 264, 1632, 31, 204, 268, 25858, 31, 828, 437, 908, 3459, 1882, 2924, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 2924, 311, 20999, 612, 36206, 204, 268, 4177, 1893, 19, 3424, 68, 19019, 68, 7272, 13, 2302, 17, 1482, 17, 1545, 68, 359, 34, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 14, 204, 264, 827, 415, 3439, 18963, 596, 448, 9981, 31, 204, 268, 456, 13, 325, 13, 5823, 602, 204, 268, 2454, 19, 4555, 13, 21, 14, 204, 264, 827, 7242, 596, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2862, 908, 31, 463, 5823, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 264, 827, 1319, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 5823, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 6419, 436, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 20999, 612, 36206, 1545, 19, 204, 204, 264, 1058, 741, 13401, 1964, 2558, 17, 8290, 575, 4997, 17, 329, 8874, 292, 311, 20999, 612, 36206, 19, 204, 264, 320, 204, 264, 314, 1385, 1964, 2558, 204, 264, 1137, 68, 5719, 68, 5592, 374, 204, 204, 264, 314, 6153, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 9281, 14, 204, 204, 264, 314, 763, 575, 4997, 204, 264, 1692, 17, 1482, 289, 4177, 636, 68, 816, 68, 7272, 374, 204, 204, 264, 314, 8196, 311, 20999, 612, 36206, 204, 264, 4177, 2924, 68, 633, 68, 3847, 1016, 23338, 2970, 13, 2302, 17, 1482, 14, 204, 204, 264, 314, 1165, 1265, 31, 763, 273, 458, 302, 830, 15126, 292, 275, 1561, 204, 264, 810, 31, 204, 268, 314, 763, 275, 790, 1561, 204, 268, 1561, 289, 1893, 19, 25255, 8083, 21, 66, 204, 204, 268, 314, 763, 273, 458, 302, 830, 15126, 292, 275, 1561, 204, 268, 15126, 289, 1561, 19, 21795, 204, 204, 268, 314, 1198, 275, 458, 302, 15126, 204, 268, 456, 499, 17579, 88, 2212, 204, 268, 348, 5722, 292, 15126, 31, 204, 305, 456, 13, 75, 24588, 463, 9123, 19, 417, 98, 8267, 9123, 19, 932, 16048, 204, 264, 827, 1319, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 5823, 743, 204, 204, 18136, 19, 1777, 13, 660, 1447, 204, 0, 3728, 353, 1199, 2847, 302, 7219, 36, 204, 204, 1449, 1020, 1199, 2847, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 302, 7219, 17, 572, 618, 732, 275, 2631, 3214, 31, 204, 204, 20155, 368, 31, 2208, 275, 5050, 311, 273, 4048, 560, 8631, 560, 1607, 19, 204, 62, 289, 1199, 20, 2051, 204, 204, 20155, 435, 31, 8838, 275, 4048, 560, 275, 542, 19, 204, 62, 289, 1199, 20, 2051, 2771, 7219, 204, 204, 20155, 571, 31, 8730, 275, 4183, 19, 204, 62, 289, 1199, 7410, 1607, 2771, 7219, 204, 62, 289, 500, 19, 1036, 2771, 7219, 204, 62, 289, 3528, 204, 204, 4356, 17, 1199, 2847, 302, 7219, 353, 3528, 19, 204, 204, 11892, 17, 572, 618, 732, 275, 2089, 31, 204, 1036, 10, 302, 7219, 289, 322, 1036, 20, 2051, 14, 2771, 7219, 204, 34, 500, 19, 1036, 2771, 7219, 204, 34, 3528, 204, 204, 2310, 618, 1425, 732, 273, 6506, 311, 1020, 275, 2073, 560, 18120, 1199, 7410, 1607, 2771, 7219, 17, 928, 9329, 3528, 19, 204, 204, 5063, 3490, 31, 204, 204, 15, 828, 1199, 2847, 302, 275, 45419, 292, 273, 2223, 3859, 1307, 523, 273, 9737, 5879, 329, 1422, 529, 7219, 45419, 17, 1662, 1910, 45419, 1307, 523, 275, 5879, 36, 204, 4706, 31, 3528, 45419, 1307, 523, 275, 5879, 19, 204, 15, 828, 1199, 2847, 302, 275, 2804, 292, 38047, 2090, 14083, 275, 2672, 329, 1422, 529, 7219, 2804, 292, 38047, 17, 1662, 1910, 2804, 2090, 14083, 36, 204, 4706, 31, 3528, 2804, 2090, 14083, 275, 2672, 19, 0, 18263, 25643, 677, 8469, 21175, 204, 97, 18263, 25643, 677, 8469, 21175, 97, 204, 18263, 25643, 677, 8469, 21175, 322, 14426, 7755, 32172, 45108, 31605, 402, 14, 437, 33678, 4785, 302, 41929, 6784, 329, 1064, 316, 301, 17, 867, 36081, 437, 20518, 608, 302, 275, 10828, 2604, 302, 275, 565, 5669, 15955, 19, 2550, 7404, 292, 3139, 7879, 1882, 275, 9956, 276, 657, 302, 275, 15411, 628, 26131, 565, 5669, 17, 10866, 25643, 677, 8469, 21175, 869, 275, 36473, 1750, 23662, 302, 2545, 15291, 336, 685, 302, 12278, 2202, 1194, 23460, 2181, 5287, 17, 275, 29542, 27621, 302, 273, 3403, 6555, 630, 275, 8650, 302, 1064, 19, 204, 32790, 275, 20688, 292, 565, 5669, 677, 9737, 867, 273, 7089, 4193, 337, 17, 19657, 15192, 39695, 10866, 25643, 17, 329, 490, 353, 497, 1704, 3139, 9320, 1225, 1998, 20061, 78, 360, 6856, 266, 360, 496, 572, 874, 275, 1698, 1747, 302, 275, 8469, 21175, 329, 1163, 18814, 497, 3307, 19, 1547, 867, 273, 3403, 6555, 17, 5387, 5789, 5301, 2482, 329, 34157, 719, 311, 681, 17128, 19, 1547, 867, 3060, 9373, 17, 7510, 5218, 17, 292, 1848, 17, 329, 10866, 25643, 8699, 275, 16272, 18, 427, 1162, 306, 13820, 1153, 7498, 448, 388, 9859, 2090, 275, 26191, 302, 437, 10033, 35573, 1194, 34143, 275, 7498, 302, 437, 10033, 6555, 2152, 8683, 17, 34998, 94, 17, 306, 13820, 1153, 17, 13537, 17, 5027, 17, 329, 26921, 5167, 24359, 9811, 7870, 440, 2075, 566, 3250, 273, 388, 15379, 4581, 1548, 3343, 19366, 11622, 867, 9122, 311, 9205, 308, 4817, 793, 928, 42509, 275, 11484, 329, 5406, 48018, 523, 275, 22526, 1424, 14898, 19, 334, 9621, 1466, 2637, 329, 3756, 508, 874, 22922, 5292, 404, 1915, 32, 6216, 17, 10866, 25643, 13439, 17, 1250, 1466, 9811, 440, 273, 388, 9279, 11671, 2993, 1399, 49025, 7, 2090, 275, 8469, 32608, 476, 17, 928, 3756, 275, 741, 302, 273, 300, 762, 1070, 21862, 19, 334, 24824, 1466, 2637, 17336, 292, 275, 2902, 302, 275, 1526, 19, 334, 10239, 867, 32915, 18, 4995, 17, 22177, 275, 1064, 316, 74, 440, 1163, 16522, 10239, 204, 10492, 10118, 32759, 302, 3658, 10811, 523, 28654, 302, 8469, 29196, 17, 36279, 6216, 2090, 22495, 348, 3658, 19, 3433, 11899, 336, 10469, 329, 4457, 43632, 1273, 1250, 13069, 292, 2830, 3436, 17, 13492, 275, 2074, 1405, 292, 275, 3466, 448, 10436, 497, 15469, 1017, 1698, 4193, 8821, 17, 39738, 31189, 19, 204, 18263, 25643, 13058, 496, 566, 867, 5096, 311, 636, 4789, 275, 7160, 5256, 311, 388, 31644, 1017, 35283, 440, 2745, 1922, 2152, 25410, 1466, 3060, 40905, 638, 1750, 329, 7904, 292, 620, 22327, 17, 329, 2404, 1250, 529, 754, 23948, 1250, 3550, 1017, 11879, 4501, 1683, 2263, 17, 2900, 8152, 311, 3307, 329, 8820, 19, 18911, 273, 1064, 292, 273, 13913, 17, 521, 23926, 39505, 17, 618, 2284, 4751, 1475, 2900, 10545, 329, 2694, 630, 22575, 275, 1051, 302, 275, 37899, 566, 36874, 311, 16606, 3343, 592, 24579, 497, 273, 13913, 1250, 41418, 9453, 1877, 275, 10299, 338, 275, 6695, 1466, 4440, 45485, 338, 329, 275, 377, 321, 823, 299, 2927, 560, 273, 6554, 538, 15815, 8469, 21175, 8077, 275, 3022, 302, 275, 37899, 311, 810, 311, 2111, 16987, 19, 334, 14443, 867, 8316, 311, 444, 2090, 31239, 292, 18307, 1877, 19654, 19, 204, 8395, 10866, 25643, 2080, 2927, 1704, 9337, 311, 275, 11603, 302, 1200, 19, 44184, 13135, 292, 16765, 17, 22021, 40364, 329, 9956, 31636, 41418, 14418, 292, 1910, 302, 275, 18165, 302, 275, 565, 5669, 15955, 311, 5495, 8469, 21175, 14443, 448, 29253, 19, 334, 6555, 17, 5602, 16689, 1048, 275, 565, 5669, 8469, 1864, 329, 275, 45497, 8076, 6473, 39351, 17, 2080, 1163, 886, 30222, 32550, 336, 3913, 311, 24579, 560, 11525, 22554, 32, 490, 867, 273, 10690, 6555, 1330, 10866, 25643, 1043, 8699, 490, 19, 43247, 18, 32590, 2181, 1877, 1163, 13209, 275, 1673, 6399, 1466, 4768, 292, 275, 8476, 270, 24467, 19, 0, 676, 13223, 422, 40, 4169, 3554, 31, 204, 264, 436, 1040, 68, 3641, 68, 633, 68, 43369, 13, 327, 17, 771, 68, 30300, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 542, 302, 7656, 3942, 311, 20968, 273, 32126, 440, 275, 800, 542, 302, 25048, 17, 204, 268, 1273, 872, 618, 4260, 20968, 368, 521, 435, 3214, 630, 273, 690, 19, 204, 204, 268, 457, 31, 204, 305, 771, 68, 30300, 322, 339, 330, 334, 542, 302, 25048, 311, 20968, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 7656, 3942, 311, 20968, 275, 25048, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 542, 302, 25048, 353, 2917, 19, 204, 268, 320, 204, 268, 397, 771, 68, 30300, 962, 500, 31, 204, 305, 980, 987, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4290, 302, 25048, 1631, 444, 273, 1950, 18, 4721, 1534, 431, 204, 204, 268, 314, 3301, 2910, 31, 1422, 677, 1698, 1051, 2501, 311, 20968, 500, 521, 368, 25048, 204, 268, 397, 771, 68, 30300, 2186, 368, 31, 204, 305, 407, 368, 204, 204, 268, 314, 666, 273, 21233, 1435, 311, 1640, 275, 542, 302, 3942, 311, 20968, 296, 25048, 204, 268, 8831, 289, 463, 21, 31, 368, 17, 368, 31, 368, 98, 204, 204, 268, 314, 1974, 8175, 7786, 311, 5233, 292, 275, 21233, 1435, 204, 268, 348, 296, 292, 933, 13, 23, 17, 771, 68, 30300, 465, 368, 330, 204, 305, 314, 334, 542, 302, 3942, 311, 20968, 296, 25048, 353, 275, 1066, 302, 275, 542, 302, 3942, 311, 20968, 296, 18, 22, 329, 296, 18, 23, 25048, 204, 305, 8831, 64, 78, 66, 289, 8831, 64, 78, 338, 368, 66, 465, 8831, 64, 78, 338, 435, 66, 204, 204, 268, 407, 8831, 64, 920, 68, 30300, 66, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 20619, 68, 24442, 3554, 289, 13223, 422, 40, 4169, 3554, 374, 204, 264, 771, 68, 30300, 289, 681, 204, 264, 3942, 68, 633, 68, 43369, 289, 20619, 68, 24442, 3554, 19, 765, 68, 3641, 68, 633, 68, 43369, 13, 920, 68, 30300, 14, 204, 264, 456, 13, 75, 7, 2841, 529, 463, 3641, 68, 633, 68, 43369, 98, 7656, 3942, 311, 20968, 463, 920, 68, 30300, 98, 25048, 1280, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 5920, 532, 8909, 204, 204, 461, 838, 68, 286, 30232, 13, 20818, 31, 783, 64, 2983, 64, 325, 17, 394, 4097, 393, 783, 64, 2983, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 9264, 273, 458, 302, 14278, 17, 1020, 275, 37959, 292, 1552, 19, 204, 204, 264, 334, 741, 18479, 496, 275, 537, 14278, 798, 273, 1097, 37959, 17, 296, 19, 74, 2458, 716, 264, 1422, 353, 273, 2220, 832, 496, 18697, 848, 9088, 6488, 5602, 19, 204, 204, 264, 457, 31, 204, 264, 14278, 31, 332, 458, 302, 5760, 17, 1273, 848, 927, 4504, 273, 9088, 440, 273, 2139, 329, 4297, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 5760, 17, 2457, 275, 37959, 292, 1552, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 311, 1640, 275, 26310, 348, 848, 2139, 204, 264, 4297, 68, 1608, 289, 8909, 13, 655, 14, 204, 264, 348, 2139, 17, 4297, 292, 14278, 31, 204, 268, 4297, 68, 1608, 64, 3112, 1664, 1223, 13, 8480, 14, 204, 204, 264, 314, 4641, 275, 26310, 348, 848, 2139, 292, 4036, 1552, 204, 264, 348, 2139, 292, 4297, 68, 1608, 31, 204, 268, 4297, 68, 1608, 64, 3112, 1664, 2975, 13, 8553, 34, 1021, 14, 204, 204, 264, 314, 1752, 275, 4145, 917, 322, 1947, 2139, 496, 353, 508, 273, 4297, 14, 204, 264, 1012, 289, 443, 204, 264, 26310, 289, 758, 13, 4418, 348, 2984, 88, 292, 4297, 68, 1608, 19, 1309, 374, 348, 2984, 292, 2984, 88, 14, 204, 264, 348, 2139, 292, 4297, 68, 1608, 31, 204, 268, 397, 2139, 508, 292, 26310, 31, 204, 305, 1012, 289, 2139, 204, 305, 2280, 204, 204, 264, 314, 828, 1236, 4145, 917, 353, 1193, 17, 1020, 275, 2139, 440, 275, 1901, 26310, 204, 264, 397, 1012, 353, 443, 31, 204, 268, 1012, 289, 846, 13, 8480, 68, 1608, 17, 896, 34, 3605, 610, 31, 1245, 13, 8480, 68, 1608, 64, 93, 4513, 204, 204, 264, 314, 4908, 275, 37959, 204, 264, 37959, 289, 1306, 204, 264, 790, 68, 3112, 289, 1012, 204, 264, 1335, 959, 31, 204, 268, 314, 828, 275, 790, 2139, 869, 1236, 26310, 17, 2280, 275, 3546, 204, 268, 397, 790, 68, 3112, 508, 292, 4297, 68, 1608, 521, 508, 4297, 68, 1608, 64, 1976, 68, 3112, 744, 204, 305, 2280, 204, 204, 268, 314, 763, 275, 1682, 4297, 329, 3142, 490, 497, 275, 458, 204, 268, 4297, 289, 4297, 68, 1608, 64, 1976, 68, 3112, 1664, 3377, 374, 204, 268, 37959, 19, 1223, 1802, 1976, 68, 3112, 17, 4297, 602, 204, 268, 790, 68, 3112, 289, 4297, 204, 204, 264, 407, 37959, 204, 204, 461, 667, 1293, 204, 264, 14278, 289, 28175, 20798, 2606, 1678, 528, 388, 39, 651, 13633, 3186, 4401, 39, 9724, 533, 528, 388, 29996, 8878, 3186, 4401, 9686, 70, 528, 388, 20798, 2606, 1678, 3186, 4401, 29996, 8878, 528, 388, 9686, 70, 14094, 204, 264, 456, 13, 1510, 68, 286, 30232, 13, 20818, 602, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 13, 39, 17, 392, 14, 27386, 204, 204, 38, 322, 39, 17, 392, 14, 3868, 353, 273, 6542, 3773, 1376, 311, 3220, 4119, 302, 28505, 1187, 19, 1547, 353, 273, 3868, 302, 38087, 565, 329, 392, 302, 273, 1627, 501, 496, 10579, 4153, 31138, 19, 204, 204, 1380, 13770, 204, 204, 38, 322, 39, 17, 392, 14, 3868, 353, 4310, 448, 273, 3868, 302, 38087, 565, 329, 392, 302, 273, 1627, 501, 1702, 496, 31, 204, 204, 22, 19, 501, 353, 4489, 560, 565, 329, 392, 19, 204, 23, 19, 334, 6907, 302, 565, 329, 392, 17, 13772, 560, 313, 17, 353, 273, 2519, 23851, 302, 392, 19, 204, 24, 19, 334, 1627, 595, 289, 392, 20, 57, 353, 4489, 560, 273, 758, 387, 302, 1842, 302, 1552, 435, 17, 1702, 496, 31, 204, 203, 15, 828, 297, 353, 437, 1103, 302, 387, 329, 306, 353, 437, 1103, 302, 595, 17, 1675, 297, 39, 92, 353, 13782, 292, 275, 8651, 302, 565, 8057, 39, 329, 565, 92, 39, 19, 204, 203, 15, 4222, 1103, 302, 387, 2519, 1440, 565, 19, 204, 204, 1380, 12636, 204, 204, 22, 19, 930, 39, 1771, 1539, 1998, 18571, 1416, 334, 1627, 501, 618, 444, 11046, 9523, 1025, 6246, 401, 3604, 565, 65, 44, 20, 39, 17, 928, 529, 6717, 560, 273, 758, 302, 17033, 88, 302, 595, 311, 392, 19, 204, 23, 19, 930, 2595, 48037, 3685, 6621, 1416, 12320, 13886, 8237, 23851, 9329, 1163, 38666, 292, 501, 19, 12320, 2599, 13886, 8237, 23851, 353, 302, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 798, 565, 60, 13, 61, 14, 39, 348, 1429, 7370, 1504, 302, 387, 19, 204, 24, 19, 930, 57, 1005, 677, 20999, 10679, 9048, 1416, 565, 51, 18, 6346, 618, 444, 1376, 311, 7647, 496, 1910, 4119, 302, 28505, 1187, 529, 3277, 10814, 1017, 11366, 19, 204, 204, 1380, 9134, 204, 204, 22, 19, 930, 19049, 7802, 6885, 1416, 334, 4303, 3542, 1627, 36475, 83, 13, 48, 14, 1048, 273, 1242, 1144, 869, 273, 565, 51, 18, 5947, 17, 1273, 565, 353, 275, 3482, 14234, 7703, 17, 313, 353, 275, 8166, 7703, 17, 329, 392, 353, 275, 42856, 7703, 19, 204, 23, 19, 930, 7183, 30861, 28376, 1416, 2334, 304, 952, 545, 1627, 1048, 273, 1242, 1144, 869, 273, 565, 51, 18, 5947, 17, 1273, 565, 353, 273, 16034, 13886, 8237, 23851, 329, 392, 353, 275, 38666, 302, 273, 3404, 31223, 9795, 354, 13782, 292, 565, 19, 204, 204, 1380, 40568, 204, 204, 15, 6030, 31, 388, 8659, 880, 31, 17472, 329, 18190, 7, 560, 16367, 5443, 3360, 278, 15854, 329, 22141, 2939, 387, 19, 16844, 204, 15, 6030, 31, 388, 49, 705, 28376, 329, 28505, 16124, 88, 31, 1407, 15263, 681, 18, 27, 7, 560, 27588, 23540, 565, 580, 71, 23792, 204, 15, 6030, 31, 388, 46048, 7, 560, 33039, 18, 53, 40777, 3983, 272, 0, 37330, 1415, 24903, 6427, 448, 2804, 618, 304, 784, 275, 1729, 2667, 8753, 560, 36789, 1017, 19588, 496, 904, 4598, 770, 17, 5575, 311, 273, 717, 5197, 19, 204, 673, 5197, 302, 10405, 6709, 5913, 496, 36789, 677, 2140, 6126, 523, 273, 8453, 677, 2667, 1702, 448, 5992, 2830, 12790, 6096, 17, 17080, 2830, 18765, 4683, 329, 14090, 2830, 6427, 14007, 1425, 3120, 311, 4598, 1415, 2080, 17693, 6427, 17, 3252, 3220, 20948, 12424, 1144, 342, 18128, 17, 273, 45466, 630, 1200, 19, 871, 1230, 12817, 677, 8385, 20678, 292, 502, 2779, 847, 17, 313, 6352, 19, 204, 673, 8608, 302, 2667, 14007, 302, 36789, 388, 5934, 451, 5506, 32931, 630, 808, 917, 311, 14973, 1475, 311, 12112, 7571, 397, 1250, 7188, 5096, 5167, 1144, 342, 18128, 3252, 302, 6427, 32688, 19, 204, 48, 342, 18128, 329, 1704, 18987, 21445, 10405, 6709, 329, 11857, 311, 7968, 28362, 3490, 497, 17693, 6427, 5519, 17, 329, 311, 3020, 3855, 3153, 6126, 2549, 4767, 275, 7103, 311, 12112, 7571, 5287, 19, 12412, 4249, 867, 6193, 7110, 8338, 19, 1199, 292, 275, 11059, 302, 19413, 10457, 40855, 276, 6265, 19, 204, 22844, 812, 26579, 353, 508, 348, 11243, 204, 2204, 830, 17693, 6427, 32688, 529, 16583, 302, 36789, 17, 8578, 4751, 4598, 1415, 24903, 12112, 6427, 521, 12772, 19, 15867, 1788, 3731, 311, 1017, 12112, 88, 521, 275, 2620, 302, 12772, 523, 1017, 16866, 27891, 557, 33866, 874, 1824, 1429, 302, 1475, 17224, 311, 6626, 10659, 19, 204, 7, 29037, 523, 17, 1605, 4598, 11076, 2964, 2379, 496, 1250, 4230, 444, 630, 4190, 348, 508, 2545, 5096, 311, 33719, 316, 17, 8578, 348, 1017, 1043, 2804, 5167, 48526, 11825, 10571, 5672, 19426, 17872, 29892, 19, 388, 2310, 14006, 940, 24734, 17, 521, 35755, 17, 496, 1250, 33626, 2964, 5096, 311, 12112, 7571, 3343, 204, 5058, 1854, 1519, 311, 444, 9136, 496, 6396, 1415, 24903, 273, 17693, 6427, 1741, 874, 19167, 36789, 17, 3252, 3220, 20948, 40121, 650, 5779, 17, 273, 3793, 30637, 25068, 630, 1200, 19, 871, 1230, 19, 204, 7874, 3078, 32688, 12, 24794, 204, 23367, 5913, 36789, 618, 10574, 4598, 677, 4190, 302, 9218, 12112, 329, 287, 45733, 24758, 17, 1722, 18, 8629, 43561, 18588, 28285, 329, 25842, 41878, 17, 2838, 435, 11765, 329, 5557, 4614, 17, 650, 5779, 3252, 19, 204, 7, 32424, 8753, 311, 7831, 309, 3329, 618, 1425, 4303, 504, 311, 275, 6427, 46249, 3390, 5167, 650, 5779, 10571, 5672, 19426, 17872, 29892, 19, 204, 27629, 2083, 292, 11636, 529, 5992, 275, 542, 302, 17693, 6427, 32688, 17, 2268, 13439, 19, 332, 14259, 2556, 497, 275, 10249, 302, 15053, 3252, 1051, 292, 27123, 6695, 10299, 867, 273, 46249, 302, 17693, 6427, 19, 7054, 3210, 36789, 560, 11435, 6427, 6396, 1120, 3472, 1182, 302, 437, 6248, 292, 275, 5094, 17, 650, 5779, 3252, 19, 204, 52, 5779, 3252, 2268, 11237, 36789, 311, 444, 7634, 448, 273, 7831, 6137, 348, 4598, 17, 2842, 448, 6747, 5321, 732, 17, 7831, 8114, 329, 8294, 529, 19, 204, 7, 2310, 3480, 4303, 33854, 17, 23765, 18, 30763, 46748, 329, 32688, 7105, 311, 5506, 27357, 336, 311, 3074, 1017, 7155, 3511, 329, 444, 9136, 302, 490, 292, 275, 1682, 7341, 302, 3307, 1330, 1250, 7188, 292, 496, 10876, 7438, 7341, 5167, 650, 5779, 3252, 19, 204, 23877, 490, 523, 31, 10892, 812, 26579, 677, 8753, 348, 7831, 4598, 1425, 3120, 311, 4598, 1415, 24903, 17693, 6427, 19, 204, 18, 2958, 12896, 33931, 2680, 45712, 5672, 14106, 204, 18, 931, 14747, 5672, 14106, 7054, 11815, 595, 271, 16990, 21559, 89, 5389, 332, 4386, 204, 18, 3899, 1854, 27233, 340, 27542, 311, 791, 31869, 10892, 812, 26579, 35515, 657, 204, 19670, 5672, 19426, 17872, 29892, 8740, 5871, 332, 3565, 70, 47980, 523, 8471, 1642, 38, 3565, 70, 49, 1571, 291, 19, 0, 647, 1127, 204, 647, 12800, 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, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4578, 302, 275, 510, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 510, 1583, 508, 1337, 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, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 407, 510, 68, 4103, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 5149, 437, 908, 397, 275, 510, 1583, 508, 1337, 204, 268, 980, 987, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 204, 461, 636, 68, 4780, 68, 4591, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 3596, 3146, 3688, 497, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 12519, 15030, 948, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 3146, 3688, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 832, 311, 275, 589, 12519, 15030, 948, 510, 204, 264, 1465, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 1127, 19, 546, 19, 11106, 13, 865, 19, 546, 19, 7094, 3843, 553, 31720, 388, 494, 349, 775, 528, 891, 12519, 15030, 948, 7, 204, 264, 1179, 204, 264, 1465, 289, 2087, 204, 264, 314, 5635, 275, 589, 12519, 15030, 948, 510, 311, 16836, 275, 1465, 955, 204, 264, 440, 1451, 13, 12519, 68, 553, 68, 546, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 268, 3092, 13, 553, 68, 4103, 19, 976, 2144, 1465, 14, 204, 264, 407, 1465, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 3146, 974, 12800, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 15786, 510, 204, 264, 2482, 68, 2749, 289, 1151, 68, 553, 499, 24235, 19, 23473, 431, 204, 264, 314, 763, 3146, 3688, 204, 264, 3146, 68, 4591, 289, 636, 68, 4780, 68, 4591, 374, 204, 204, 264, 314, 968, 3146, 6127, 204, 264, 6348, 68, 11729, 289, 551, 204, 268, 388, 402, 76, 1851, 75, 99, 34, 24, 19, 25, 19, 22, 32, 5207, 68, 2256, 962, 379, 24, 19, 28, 28142, 204, 268, 388, 402, 76, 1851, 75, 99, 34, 24, 19, 26, 19, 23, 32, 5207, 68, 2256, 3721, 379, 24, 19, 28, 28142, 204, 268, 388, 812, 6844, 1495, 21, 19, 30, 19, 4635, 528, 204, 268, 388, 6419, 18, 7738, 99, 34, 25, 19, 21, 19, 23, 528, 204, 268, 388, 4588, 99, 34, 24, 19, 21, 19, 25, 528, 204, 268, 388, 4588, 68, 9349, 99, 34, 24, 19, 24, 19, 22, 528, 204, 268, 388, 35148, 2272, 528, 204, 268, 388, 43011, 99, 34, 3699, 19, 28, 19, 21, 528, 204, 268, 388, 16479, 99, 34, 26, 19, 21, 19, 24, 528, 204, 268, 388, 22656, 99, 34, 24, 19, 23, 19, 1258, 528, 204, 268, 388, 36272, 651, 8590, 7522, 99, 34, 24, 19, 2353, 19, 22, 528, 204, 268, 388, 5835, 18, 2741, 99, 34, 3699, 19, 22, 528, 204, 268, 388, 5835, 18, 2256, 1993, 99, 34, 22, 19, 21, 19, 23, 528, 204, 268, 388, 5835, 18, 746, 3052, 18, 3939, 99, 34, 21, 19, 27, 528, 204, 268, 388, 5835, 18, 12948, 18, 2884, 3721, 25, 19, 21, 70, 22, 17, 564, 25, 9371, 528, 204, 268, 388, 47, 13213, 23, 99, 34, 24, 19, 21, 19, 24, 528, 204, 268, 388, 1775, 6069, 99, 34, 25, 19, 21, 19, 21, 528, 204, 268, 388, 863, 420, 328, 99, 34, 22, 19, 28, 19, 23, 528, 204, 268, 388, 27288, 23, 18, 5457, 99, 34, 23, 19, 30, 19, 24, 528, 204, 268, 388, 5941, 29146, 99, 34, 27, 19, 21, 528, 204, 268, 388, 9349, 99, 34, 25, 19, 22, 19, 24, 528, 204, 268, 388, 35375, 280, 12594, 99, 34, 24, 19, 29, 19, 22, 528, 204, 268, 388, 2115, 4271, 11880, 25, 99, 34, 25, 19, 1003, 19, 21, 528, 204, 268, 388, 56, 19202, 99, 34, 25, 19, 24, 19, 23, 528, 204, 268, 388, 14361, 386, 99, 34, 22, 19, 2353, 19, 24, 528, 204, 268, 388, 948, 29138, 99, 34, 2898, 19, 24, 19, 21, 528, 204, 264, 2437, 204, 204, 264, 314, 968, 4372, 6127, 204, 264, 36574, 68, 9947, 289, 463, 204, 268, 388, 7632, 68, 88, 24, 559, 551, 204, 305, 388, 26264, 24, 99, 34, 22, 19, 3699, 19, 21, 528, 204, 305, 388, 35148, 2272, 528, 204, 268, 7241, 204, 268, 388, 7632, 68, 47913, 559, 551, 204, 305, 388, 35148, 2272, 528, 204, 305, 388, 9888, 18, 7368, 18, 7632, 99, 34, 23, 19, 21, 19, 21, 528, 204, 268, 7241, 204, 268, 388, 11224, 559, 551, 204, 305, 388, 33342, 68, 1644, 73, 68, 19433, 528, 204, 305, 388, 948, 402, 83, 22, 17823, 21, 19, 25, 19, 29, 528, 204, 268, 7241, 204, 268, 388, 4780, 559, 551, 204, 305, 388, 13545, 466, 528, 204, 305, 388, 18274, 528, 204, 268, 7241, 204, 268, 388, 804, 559, 551, 204, 305, 388, 8683, 17823, 2898, 19, 22, 19, 21, 528, 204, 305, 388, 2555, 18, 18707, 17823, 21, 19, 7326, 528, 204, 305, 388, 19300, 17823, 27, 19, 23, 19, 21, 528, 204, 305, 388, 22233, 29, 17823, 25, 19, 21, 19, 22, 528, 204, 305, 388, 948, 3228, 4007, 17823, 27, 19, 22, 19, 22, 528, 204, 305, 388, 23699, 68, 25064, 528, 204, 305, 388, 574, 12236, 68, 721, 82, 528, 204, 305, 388, 804, 23481, 17823, 27, 19, 2132, 19, 24, 528, 204, 305, 388, 20022, 1825, 17823, 22, 19, 28, 19, 21, 528, 204, 305, 388, 360, 372, 17823, 26, 19, 1003, 19, 22, 528, 204, 268, 7241, 204, 264, 1211, 204, 204, 264, 314, 968, 3146, 16674, 204, 264, 16674, 289, 551, 204, 268, 388, 24970, 10352, 5997, 720, 338, 21043, 20, 1671, 578, 528, 204, 268, 388, 11690, 5997, 4318, 8361, 528, 204, 268, 388, 45350, 5997, 5959, 528, 204, 268, 388, 30237, 28468, 5997, 35507, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 5997, 24355, 13131, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 5997, 3426, 3983, 1387, 528, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 9258, 14354, 19458, 528, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 4847, 6501, 2770, 528, 204, 268, 388, 19086, 5997, 28482, 28007, 5997, 25287, 20523, 11357, 528, 204, 268, 388, 29769, 6136, 5997, 8419, 22596, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 27, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 28, 528, 204, 268, 388, 14087, 9044, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5997, 4847, 5997, 571, 19, 29, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 30, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 1003, 528, 204, 264, 2437, 204, 204, 264, 314, 1359, 719, 275, 3146, 974, 12800, 204, 264, 12800, 19, 5666, 13, 204, 268, 588, 34, 4780, 68, 4591, 1166, 367, 1778, 367, 2869, 204, 268, 732, 68, 721, 82, 68, 2256, 34, 1021, 17, 204, 268, 2342, 34, 4780, 68, 4591, 1166, 367, 7111, 367, 2869, 204, 268, 2482, 68, 2749, 34, 5515, 68, 2749, 17, 204, 268, 2482, 68, 2749, 68, 2387, 68, 932, 1022, 492, 20, 93, 18, 23473, 528, 204, 268, 2799, 34, 4780, 68, 4591, 1166, 367, 4020, 367, 2869, 204, 268, 2799, 68, 2302, 34, 4780, 68, 4591, 1166, 367, 2302, 367, 2869, 204, 268, 1779, 34, 4780, 68, 4591, 1166, 367, 805, 367, 2869, 204, 268, 11195, 34, 4780, 68, 4591, 1166, 367, 14194, 367, 2869, 204, 268, 9912, 34, 574, 12236, 19, 2269, 68, 9290, 13, 204, 305, 10371, 8090, 7082, 528, 388, 7082, 9371, 528, 33833, 7082, 528, 33833, 7082, 9371, 1339, 204, 268, 5334, 204, 268, 3146, 68, 481, 2508, 204, 305, 388, 494, 349, 775, 559, 551, 204, 485, 388, 2788, 20, 34895, 1288, 20, 16299, 19, 3039, 528, 204, 485, 388, 2788, 20, 12571, 31980, 4655, 528, 204, 485, 388, 2788, 20, 3549, 20, 2788, 31980, 1775, 528, 204, 485, 388, 9747, 14132, 20, 11434, 20, 18501, 20755, 528, 204, 485, 388, 9747, 14132, 20, 11434, 20, 18501, 948, 528, 204, 485, 388, 9747, 14132, 20, 7010, 20, 18501, 948, 528, 204, 305, 2437, 204, 268, 4752, 204, 268, 5415, 68, 11729, 1022, 17823, 24, 19, 27, 17, 962, 24, 19, 1641, 528, 204, 268, 6348, 68, 11729, 34, 9310, 68, 11729, 17, 204, 268, 36574, 68, 9947, 34, 31633, 68, 9947, 17, 204, 268, 16674, 34, 19994, 17, 204, 268, 9796, 1022, 494, 349, 775, 424, 2788, 1907, 528, 204, 264, 1179, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3219, 68, 4780, 374, 204, 0, 647, 9229, 19, 20401, 19, 23177, 448, 10483, 204, 647, 23656, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 1884, 204, 204, 647, 357, 2974, 204, 531, 38037, 532, 20987, 204, 204, 676, 22351, 11411, 13, 15542, 330, 204, 264, 320, 5272, 275, 2852, 302, 4793, 424, 315, 204, 264, 1779, 31, 394, 204, 264, 4337, 68, 546, 31, 394, 204, 264, 832, 68, 1219, 31, 394, 204, 264, 832, 68, 804, 31, 394, 204, 204, 676, 26123, 11411, 13, 15542, 330, 204, 264, 320, 5272, 275, 2852, 302, 4050, 424, 315, 204, 264, 832, 68, 1219, 31, 394, 204, 264, 832, 68, 804, 31, 394, 204, 204, 461, 4065, 68, 1292, 68, 481, 13, 1292, 68, 3366, 31, 22351, 11411, 14, 393, 394, 31, 204, 264, 320, 204, 264, 21124, 4793, 424, 497, 275, 1713, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 832, 311, 275, 12579, 4337, 510, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 4065, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 357, 2974, 19, 7237, 13, 1292, 68, 3366, 19, 805, 17, 4793, 68, 3366, 19, 5714, 68, 546, 17, 19249, 34, 1975, 14, 204, 268, 407, 4793, 68, 3366, 19, 5714, 68, 546, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16950, 4793, 424, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 1292, 68, 481, 13, 5714, 68, 546, 31, 394, 17, 1967, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7483, 275, 4578, 302, 273, 4337, 510, 19, 204, 204, 264, 457, 31, 204, 264, 4337, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4337, 510, 19, 204, 264, 1967, 68, 546, 322, 325, 330, 334, 832, 311, 1967, 275, 4578, 311, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 23656, 19, 32961, 13, 5714, 68, 546, 17, 388, 87, 431, 448, 4337, 68, 3484, 31, 204, 305, 4337, 68, 3484, 19, 5184, 668, 13, 5184, 68, 546, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16997, 4793, 424, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 13166, 68, 531, 68, 5153, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 10370, 497, 273, 2875, 6275, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4989, 10370, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 2192, 289, 10483, 19, 1703, 13, 553, 68, 546, 14, 204, 268, 1610, 289, 2192, 19, 41290, 374, 204, 268, 397, 1245, 13, 2125, 14, 1323, 500, 31, 204, 305, 458, 68, 522, 68, 492, 68, 266, 68, 389, 68, 553, 289, 551, 87, 19, 492, 348, 468, 292, 1610, 64, 21, 2629, 204, 305, 407, 388, 5161, 1541, 13, 655, 68, 522, 68, 492, 68, 266, 68, 389, 68, 553, 14, 204, 268, 902, 31, 204, 305, 407, 3026, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16997, 10370, 497, 463, 553, 68, 546, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 3810, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 10370, 497, 3536, 6275, 1860, 292, 273, 4622, 19, 204, 204, 264, 457, 31, 204, 264, 4622, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4622, 1174, 6275, 1860, 19, 204, 204, 264, 475, 31, 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, 394, 31, 334, 4989, 10370, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 830, 68, 11224, 31, 458, 64, 325, 66, 289, 1306, 204, 264, 348, 510, 68, 546, 292, 2621, 13, 3810, 68, 546, 789, 10944, 499, 13585, 5153, 6471, 204, 268, 1068, 68, 266, 68, 389, 68, 553, 289, 1967, 68, 13166, 68, 531, 68, 5153, 68, 553, 13, 325, 13, 553, 68, 546, 602, 204, 268, 830, 68, 11224, 19, 1223, 13, 492, 68, 266, 68, 389, 68, 553, 14, 204, 204, 264, 407, 388, 5161, 1541, 13, 668, 68, 11224, 14, 204, 204, 461, 2106, 68, 481, 13, 4971, 68, 546, 31, 394, 17, 4050, 68, 481, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 424, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 4050, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 264, 4050, 68, 481, 322, 325, 330, 334, 424, 311, 2106, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 7770, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 4971, 68, 546, 17, 388, 92, 431, 448, 283, 31, 204, 305, 283, 19, 2206, 13, 4971, 68, 481, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 7770, 424, 311, 463, 4971, 68, 546, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 636, 68, 1219, 68, 804, 68, 11224, 13, 1292, 68, 3366, 31, 22351, 11411, 14, 393, 1884, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 3596, 275, 951, 329, 683, 6973, 497, 275, 4793, 424, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 325, 17, 394, 744, 334, 951, 329, 683, 6973, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 265, 68, 1219, 289, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 1292, 68, 3366, 19, 546, 68, 1219, 14, 204, 264, 265, 68, 804, 289, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 1292, 68, 3366, 19, 546, 68, 804, 14, 204, 264, 407, 265, 68, 1219, 17, 265, 68, 804, 204, 204, 461, 2106, 68, 1219, 68, 804, 68, 11224, 13, 204, 264, 4050, 68, 3366, 31, 26123, 11411, 17, 265, 68, 1219, 31, 394, 17, 265, 68, 804, 31, 394, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 951, 329, 683, 6973, 311, 275, 4050, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 4050, 68, 3366, 322, 29624, 11411, 330, 334, 2852, 302, 4050, 424, 19, 204, 264, 265, 68, 1219, 322, 325, 330, 334, 951, 3243, 19, 204, 264, 265, 68, 804, 322, 325, 330, 334, 683, 3243, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 7770, 4737, 19, 204, 264, 320, 204, 264, 2106, 68, 481, 13, 4971, 68, 3366, 19, 546, 68, 1219, 17, 265, 68, 1219, 14, 204, 264, 2106, 68, 481, 13, 4971, 68, 3366, 19, 546, 68, 804, 17, 265, 68, 804, 14, 204, 204, 461, 667, 13, 1292, 68, 3366, 31, 22351, 11411, 17, 4050, 68, 3366, 31, 26123, 11411, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 21124, 4793, 424, 17, 15943, 490, 17, 329, 6332, 490, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 264, 4050, 68, 3366, 322, 29624, 11411, 330, 334, 2852, 302, 4050, 424, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 1169, 1660, 4737, 19, 204, 264, 320, 204, 264, 4793, 68, 481, 68, 546, 289, 4065, 68, 1292, 68, 481, 13, 1292, 68, 3366, 14, 204, 264, 1967, 68, 1292, 68, 481, 13, 1292, 68, 481, 68, 546, 17, 388, 1280, 204, 264, 265, 68, 1219, 17, 265, 68, 804, 289, 636, 68, 1219, 68, 804, 68, 11224, 13, 1292, 68, 3366, 14, 204, 264, 2106, 68, 1219, 68, 804, 68, 11224, 13, 4971, 68, 3366, 17, 265, 68, 1219, 17, 265, 68, 804, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 4793, 68, 3366, 289, 22351, 11411, 13, 204, 268, 1779, 1022, 3189, 1963, 17263, 19, 9888, 19, 1453, 20, 6936, 36, 359, 34, 22, 79, 46, 22, 3912, 93, 23053, 92, 5226, 40, 18, 91, 3515, 29, 73, 25818, 27, 71, 25, 70, 15890, 89, 39, 71, 48, 94, 24, 528, 204, 268, 4337, 68, 546, 1022, 29197, 19, 5714, 528, 204, 268, 832, 68, 1219, 1022, 989, 20, 1219, 20, 278, 528, 204, 268, 832, 68, 804, 1022, 989, 20, 804, 20, 278, 528, 204, 264, 1179, 204, 264, 4050, 68, 3366, 289, 26123, 11411, 13, 204, 268, 832, 68, 1219, 1022, 989, 20, 1219, 20, 278, 19, 3039, 528, 204, 268, 832, 68, 804, 1022, 989, 20, 804, 20, 278, 19, 3039, 528, 204, 264, 1179, 204, 264, 810, 31, 204, 268, 667, 13, 1292, 68, 3366, 17, 4050, 68, 3366, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 647, 30408, 448, 27893, 204, 647, 27681, 448, 12641, 204, 647, 690, 448, 265, 204, 204, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 497, 273, 3176, 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, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 12641, 19, 4202, 13, 4202, 14, 204, 204, 461, 2037, 68, 14954, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 437, 10733, 943, 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, 943, 322, 325, 330, 334, 943, 311, 2037, 19, 204, 264, 320, 204, 264, 12641, 19, 14954, 13, 1454, 14, 204, 204, 461, 1451, 68, 805, 13, 805, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3594, 273, 1274, 292, 275, 1540, 5214, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 1451, 19, 204, 264, 320, 204, 264, 27893, 19, 3664, 13, 805, 14, 204, 204, 461, 949, 68, 2160, 13, 816, 68, 768, 31, 394, 17, 1728, 68, 1608, 31, 1135, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 1728, 1609, 523, 575, 537, 19, 204, 204, 264, 457, 31, 204, 268, 575, 68, 768, 322, 325, 330, 334, 575, 677, 537, 19, 204, 268, 1728, 68, 1608, 322, 873, 330, 332, 955, 4707, 3806, 311, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1728, 348, 275, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 1728, 68, 1608, 19, 505, 13, 816, 68, 768, 17, 500, 14, 204, 204, 461, 636, 68, 2160, 68, 1538, 68, 3924, 13, 3924, 31, 394, 17, 1728, 68, 1608, 31, 1135, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 1728, 348, 273, 2851, 1609, 523, 575, 537, 19, 204, 204, 264, 457, 31, 204, 268, 2851, 322, 325, 330, 334, 2851, 311, 4566, 275, 575, 1465, 19, 204, 268, 1728, 68, 1608, 322, 873, 330, 332, 955, 4707, 3806, 311, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1728, 348, 275, 575, 677, 537, 19, 204, 264, 320, 204, 264, 575, 68, 768, 289, 636, 68, 816, 68, 768, 13, 75, 7, 3728, 353, 1214, 10551, 463, 3924, 20637, 2810, 204, 264, 407, 949, 68, 2160, 13, 816, 68, 768, 17, 1728, 68, 1608, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 968, 1728, 10105, 348, 848, 2851, 204, 264, 1728, 68, 11555, 289, 463, 204, 268, 388, 22247, 2248, 559, 463, 204, 305, 388, 673, 15792, 559, 7669, 17, 204, 305, 388, 37687, 88, 329, 36895, 559, 1607, 17, 204, 305, 388, 2188, 16422, 559, 7776, 17, 204, 268, 4752, 204, 268, 388, 1972, 39, 3384, 559, 463, 204, 305, 388, 673, 33845, 486, 301, 559, 7669, 17, 204, 305, 388, 673, 502, 2187, 559, 1607, 17, 204, 305, 388, 673, 3537, 4087, 93, 559, 338, 9333, 17, 204, 268, 4752, 204, 268, 388, 4814, 1470, 559, 463, 204, 305, 388, 46455, 83, 704, 559, 10850, 17, 204, 305, 388, 27219, 28058, 20930, 11193, 559, 3861, 17, 204, 305, 388, 31894, 44, 559, 338, 28924, 17, 204, 268, 4752, 204, 268, 388, 9323, 559, 463, 204, 305, 388, 47296, 559, 20846, 17, 204, 305, 388, 22179, 70, 559, 10850, 17, 204, 305, 388, 56, 35211, 559, 3861, 17, 204, 268, 4752, 204, 268, 388, 6782, 559, 463, 204, 305, 388, 27219, 28058, 559, 47207, 17, 204, 305, 388, 27219, 14367, 80, 559, 338, 2051, 16353, 17, 204, 305, 388, 47, 11913, 559, 500, 17, 204, 268, 4752, 204, 264, 1211, 204, 204, 264, 314, 977, 1113, 1728, 204, 264, 1113, 68, 2160, 289, 500, 204, 204, 264, 314, 763, 1728, 348, 848, 2851, 204, 264, 348, 2851, 17, 1728, 68, 1608, 292, 1728, 68, 11555, 19, 1996, 1293, 204, 268, 1728, 289, 636, 68, 2160, 68, 1538, 68, 3924, 13, 3924, 17, 1728, 68, 1608, 14, 204, 268, 1113, 68, 2160, 1412, 1728, 204, 268, 456, 13, 75, 7, 5009, 20385, 463, 2160, 98, 1728, 348, 1214, 10551, 463, 3924, 12443, 204, 204, 264, 314, 3740, 1113, 1728, 204, 264, 2037, 68, 14954, 13, 75, 7, 5009, 20385, 273, 1113, 302, 463, 2609, 68, 2160, 98, 1728, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 25699, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1900, 15309, 24939, 329, 2811, 4802, 7339, 2758, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 4389, 19, 204, 268, 542, 322, 339, 330, 334, 542, 311, 444, 31874, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 542, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 25699, 726, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 4389, 19, 204, 305, 542, 322, 339, 330, 334, 542, 311, 444, 31874, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 588, 353, 508, 273, 782, 521, 275, 542, 353, 508, 273, 10570, 1187, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 2687, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 1190, 17, 322, 339, 17, 818, 4019, 204, 305, 980, 3660, 499, 4290, 1631, 444, 273, 10570, 1187, 431, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 1190, 289, 542, 204, 204, 264, 436, 12042, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 15309, 4389, 943, 19, 204, 268, 320, 204, 268, 314, 1198, 273, 4389, 943, 440, 275, 1917, 588, 204, 268, 456, 13, 75, 7, 23797, 463, 327, 19, 417, 23214, 204, 204, 264, 436, 6342, 68, 1190, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 31776, 275, 537, 542, 560, 368, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 31874, 542, 19, 204, 268, 320, 204, 268, 314, 7415, 275, 542, 560, 368, 329, 407, 275, 722, 204, 268, 407, 370, 19, 1190, 465, 368, 204, 204, 264, 436, 456, 68, 7996, 68, 4648, 13, 327, 17, 540, 1038, 31, 394, 17, 12779, 31, 394, 289, 379, 6947, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 3536, 3157, 5289, 560, 273, 1713, 11161, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 322, 325, 330, 334, 3157, 311, 444, 9425, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 305, 12779, 322, 325, 17, 1448, 330, 334, 11161, 19, 1243, 311, 379, 3759, 204, 268, 320, 204, 268, 314, 1198, 275, 1917, 3157, 5289, 560, 275, 1713, 11161, 204, 268, 456, 4934, 1038, 17, 12779, 34, 16228, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 32324, 22, 289, 25699, 499, 49, 8349, 402, 95, 528, 720, 14, 204, 264, 32324, 22, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 22, 19, 13926, 68, 1190, 1447, 204, 204, 264, 32324, 23, 289, 25699, 499, 37553, 528, 931, 14, 204, 264, 32324, 23, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 23, 19, 13926, 68, 1190, 1447, 204, 204, 264, 32324, 24, 289, 25699, 499, 42, 2027, 528, 2153, 14, 204, 264, 32324, 24, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 24, 19, 13926, 68, 1190, 1447, 204, 204, 264, 456, 374, 204, 204, 264, 32324, 22, 19, 2102, 68, 7996, 68, 4648, 611, 3162, 491, 379, 14053, 491, 379, 13678, 491, 12779, 833, 45056, 534, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 17, 537, 68, 932, 31, 1187, 14, 393, 818, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 1814, 490, 311, 275, 1713, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 268, 537, 68, 932, 322, 932, 330, 334, 1187, 311, 928, 275, 537, 1856, 444, 6004, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 575, 677, 537, 448, 273, 818, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 2950, 444, 6004, 311, 275, 1713, 1187, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1814, 275, 575, 677, 537, 311, 275, 1713, 1187, 204, 305, 407, 537, 68, 932, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 1426, 2872, 537, 329, 3176, 275, 575, 311, 810, 2528, 204, 305, 456, 499, 5977, 30674, 7303, 43009, 19, 28107, 6972, 17, 292, 47561, 14578, 15692, 1280, 204, 204, 461, 949, 68, 25849, 13, 3374, 31, 818, 17, 1853, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 19366, 10718, 6104, 322, 41375, 14, 1609, 523, 2308, 329, 1853, 19, 204, 204, 264, 457, 31, 204, 268, 2308, 322, 996, 330, 334, 575, 677, 2308, 292, 5279, 19, 204, 268, 1853, 322, 996, 330, 334, 575, 677, 1853, 292, 6166, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 3392, 18153, 19, 204, 264, 320, 204, 264, 314, 888, 18153, 974, 275, 2089, 31, 2308, 802, 1853, 67, 23, 204, 264, 407, 2308, 802, 322, 2757, 930, 435, 14, 204, 204, 461, 3822, 68, 3374, 68, 3924, 13, 25849, 31, 818, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4347, 275, 2308, 2851, 1609, 523, 275, 18153, 19, 204, 204, 264, 457, 31, 204, 268, 29330, 322, 996, 330, 334, 3392, 18153, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2308, 2851, 19, 204, 264, 320, 204, 264, 314, 968, 275, 18153, 5981, 329, 1017, 3310, 10207, 204, 264, 5981, 289, 463, 204, 268, 388, 28238, 1077, 84, 770, 26737, 84, 559, 322, 21, 17, 1916, 19, 26, 659, 204, 268, 388, 1625, 26737, 84, 2519, 559, 322, 2132, 19, 26, 17, 2019, 659, 204, 268, 388, 638, 9691, 770, 26737, 84, 559, 322, 1511, 17, 2468, 659, 204, 268, 388, 1073, 301, 84, 559, 322, 2188, 17, 818, 499, 3643, 3687, 204, 264, 1211, 204, 204, 264, 314, 4347, 275, 2308, 2851, 1609, 523, 275, 18153, 204, 264, 348, 2851, 17, 322, 3006, 17, 3482, 14, 292, 5981, 19, 1996, 1293, 204, 268, 397, 3124, 2186, 29330, 962, 3482, 31, 204, 305, 407, 2851, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 949, 329, 2037, 275, 575, 677, 18153, 329, 2308, 2851, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 2308, 329, 1853, 204, 264, 2308, 289, 636, 68, 816, 68, 768, 499, 837, 1538, 293, 414, 90, 26737, 84, 322, 7487, 330, 6277, 818, 14, 204, 264, 1853, 289, 636, 68, 816, 68, 768, 499, 837, 1538, 293, 967, 70, 9998, 15514, 322, 82, 330, 6277, 818, 14, 204, 204, 264, 314, 888, 275, 575, 677, 18153, 204, 264, 29330, 289, 949, 68, 25849, 13, 3374, 17, 1853, 14, 204, 204, 264, 314, 4347, 275, 575, 677, 2308, 2851, 204, 264, 2851, 289, 3822, 68, 3374, 68, 3924, 13, 25849, 14, 204, 204, 264, 314, 3740, 275, 575, 677, 18153, 329, 2308, 2851, 204, 264, 456, 13, 75, 7, 3047, 90, 15953, 40, 22007, 355, 463, 25849, 4567, 22, 75, 1522, 29910, 22213, 2432, 8433, 463, 3924, 12443, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 1671, 291, 6455, 332, 1816, 441, 21489, 329, 12247, 3311, 2534, 95, 936, 10869, 273, 12925, 15282, 18523, 2016, 292, 19772, 440, 275, 26744, 1724, 17, 334, 17968, 627, 333, 22765, 19, 8278, 353, 273, 23747, 31584, 11274, 9206, 302, 275, 2016, 322, 2850, 789, 2935, 353, 1901, 32002, 299, 292, 4488, 275, 2016, 5319, 353, 275, 5746, 311, 928, 275, 3857, 1250, 7260, 5111, 311, 444, 5319, 884, 88, 31982, 19, 2935, 1583, 47877, 627, 333, 1869, 3237, 36, 592, 273, 1142, 17, 490, 3210, 496, 275, 5481, 329, 904, 44602, 5785, 5899, 1120, 6202, 18652, 275, 542, 329, 5926, 302, 8499, 1250, 1519, 292, 1552, 311, 1235, 1035, 275, 4876, 850, 3580, 34885, 1250, 2080, 292, 275, 20388, 88, 329, 18098, 88, 19, 334, 5094, 1120, 10649, 1225, 5323, 1101, 508, 5256, 8499, 311, 4897, 273, 3264, 27884, 2233, 19, 8278, 353, 1017, 12130, 292, 19772, 31, 204, 3070, 1422, 353, 1236, 18382, 496, 572, 874, 7301, 311, 5506, 275, 2482, 18, 4953, 6126, 523, 4719, 7497, 11266, 496, 1120, 722, 497, 275, 18687, 302, 2590, 18, 20353, 11394, 17, 13862, 17, 329, 5627, 8499, 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, 1131, 275, 1729, 690, 17, 10501, 11243, 1093, 17460, 496, 1910, 302, 1605, 8499, 529, 17517, 24061, 19, 322, 8261, 14, 204, 673, 6837, 18335, 3857, 1250, 10994, 292, 19772, 529, 3848, 896, 3576, 302, 2077, 7591, 1964, 5319, 31, 6309, 20331, 13931, 8980, 17, 18348, 21811, 15247, 26484, 6235, 10244, 8980, 7549, 17, 19676, 292, 275, 4147, 302, 275, 11257, 8206, 22011, 329, 3158, 23750, 17, 329, 8924, 1613, 302, 5627, 19, 204, 21741, 1625, 4132, 5634, 329, 7695, 25952, 5111, 311, 28298, 275, 4361, 16751, 292, 275, 5269, 5439, 19, 332, 41924, 1502, 292, 275, 8924, 11257, 20117, 496, 4719, 7561, 2931, 1163, 21811, 329, 4581, 1163, 2350, 8980, 2264, 19, 3242, 33756, 501, 19, 45972, 17, 14587, 302, 275, 4719, 5310, 3735, 8540, 292, 39063, 17, 5366, 17, 1622, 673, 17764, 353, 311, 636, 1182, 919, 2900, 273, 30624, 292, 17585, 3582, 9494, 1625, 4132, 2652, 329, 13727, 292, 275, 2688, 6223, 21672, 496, 5992, 886, 302, 7809, 1120, 444, 27517, 329, 496, 1605, 7809, 1120, 8812, 311, 444, 304, 77, 7574, 292, 8499, 496, 770, 508, 2761, 26918, 25551, 329, 22492, 19, 16156, 329, 39303, 1120, 9010, 275, 1901, 448, 275, 722, 302, 1605, 3731, 32, 275, 6863, 18768, 292, 437, 39253, 10845, 560, 4598, 329, 39303, 353, 3667, 437, 14408, 302, 17466, 25551, 292, 496, 20551, 19, 322, 24, 14, 204, 673, 1350, 11414, 17, 1182, 754, 3554, 299, 17, 36986, 275, 4263, 302, 12479, 10684, 329, 8475, 15671, 22513, 444, 1248, 275, 5086, 17633, 88, 329, 275, 4744, 14667, 88, 496, 869, 48819, 3566, 329, 5955, 10389, 17, 18179, 9212, 14626, 329, 5815, 19, 322, 26, 14, 204, 1834, 17, 292, 8987, 17, 353, 275, 2085, 2614, 928, 273, 30222, 8016, 2624, 1622, 13242, 1001, 7988, 311, 3074, 2665, 17, 508, 1698, 348, 548, 19, 56, 19, 7809, 17, 1101, 14963, 348, 830, 7809, 19, 592, 808, 2016, 572, 21836, 496, 275, 27286, 19643, 302, 2223, 18, 11382, 17, 2590, 18, 20353, 17, 16619, 8499, 353, 7758, 560, 2327, 15087, 3232, 25690, 19, 322, 29, 14, 204, 673, 38898, 1250, 2790, 353, 406, 1221, 31, 717, 8499, 1120, 6202, 444, 1966, 630, 273, 2233, 311, 10579, 18348, 7549, 348, 8499, 19, 204, 14232, 1043, 4601, 3217, 12964, 275, 12921, 19416, 302, 20515, 27864, 869, 10564, 329, 490, 353, 690, 311, 5190, 490, 273, 4130, 1382, 44795, 3217, 21733, 874, 630, 2482, 1673, 414, 738, 336, 1025, 275, 16995, 302, 1901, 11061, 17, 2219, 275, 1901, 2976, 3704, 4911, 337, 19, 334, 19416, 869, 10564, 2404, 275, 8615, 18, 12814, 1625, 4132, 11719, 302, 2077, 690, 17, 928, 353, 508, 33734, 311, 717, 16589, 6332, 1101, 1425, 13605, 32043, 3731, 292, 275, 4147, 302, 33396, 17, 869, 44915, 25338, 275, 4840, 302, 1225, 17, 9365, 17, 329, 20551, 19, 334, 4835, 22453, 302, 6546, 329, 6572, 302, 11518, 440, 1017, 1225, 869, 1742, 7919, 2547, 7716, 19, 322, 1909, 14, 204, 13239, 884, 358, 1425, 7550, 273, 11676, 302, 2075, 275, 5094, 2549, 2909, 2090, 31, 29381, 7977, 440, 273, 44712, 2599, 302, 7497, 17, 1609, 523, 273, 5660, 302, 10872, 1225, 329, 31803, 4361, 7582, 19, 204, 673, 15209, 302, 808, 1225, 353, 311, 4894, 7546, 329, 4361, 5169, 496, 3074, 451, 292, 273, 2945, 292, 928, 490, 353, 4199, 496, 8499, 529, 1236, 6397, 275, 1988, 17, 496, 572, 1631, 1020, 3161, 2501, 311, 4897, 273, 2842, 2599, 302, 7497, 348, 830, 19, 322, 93, 5831, 14, 204, 13127, 447, 17, 397, 794, 1208, 353, 283, 756, 311, 444, 1236, 6397, 275, 2710, 311, 275, 4090, 302, 10501, 3101, 17585, 17, 572, 1519, 437, 15491, 717, 3979, 311, 275, 4361, 19881, 329, 17, 1182, 8628, 17, 1622, 92, 20852, 1001, 4643, 19, 828, 1422, 353, 1225, 311, 444, 3870, 17, 11243, 1856, 770, 1429, 302, 490, 32, 4916, 304, 9479, 11134, 1784, 2979, 523, 275, 5568, 302, 1225, 437, 3509, 16510, 19, 322, 42929, 14, 204, 13239, 529, 448, 12912, 292, 275, 1622, 28822, 75, 18689, 1001, 1085, 302, 275, 2717, 448, 275, 1622, 11187, 302, 7497, 1001, 1085, 19, 3433, 3480, 311, 2379, 2075, 6651, 302, 5268, 17, 9631, 17, 329, 700, 529, 2237, 348, 273, 4835, 25721, 292, 928, 1225, 329, 14214, 529, 1236, 6397, 275, 4408, 7253, 36, 1547, 353, 437, 1337, 1506, 2717, 448, 3171, 448, 490, 353, 437, 7591, 1051, 5323, 928, 5178, 451, 1818, 311, 437, 10407, 1722, 523, 7582, 329, 40681, 19, 204, 4259, 3237, 353, 8965, 902, 1415, 869, 273, 11676, 302, 273, 47877, 627, 333, 5094, 31, 12247, 29865, 1013, 19, 7953, 13253, 302, 275, 8257, 15886, 322, 291, 13087, 1397, 19695, 1652, 344, 26495, 497, 44088, 311, 19841, 14, 329, 275, 24291, 322, 1947, 4219, 91, 5329, 1622, 3008, 275, 2333, 1001, 5698, 7497, 523, 275, 22277, 18, 1805, 365, 2669, 35051, 2706, 24291, 14, 6018, 273, 20035, 82, 7157, 302, 3307, 348, 1880, 20259, 560, 292, 273, 25628, 85, 3279, 2688, 19, 3065, 353, 35834, 17, 6309, 20331, 17, 13927, 17, 7591, 13727, 292, 29865, 1013, 884, 88, 2688, 5323, 1101, 1422, 884, 88, 9430, 496, 13207, 2090, 273, 4876, 850, 3307, 348, 18189, 1880, 19, 322, 5399, 529, 273, 11502, 302, 275, 36082, 31, 4853, 90, 14172, 3078, 17, 5610, 16706, 10287, 884, 88, 5565, 543, 6268, 204, 3837, 6965, 292, 301, 46915, 496, 275, 18348, 17971, 302, 7582, 329, 13927, 572, 874, 13861, 348, 23460, 2181, 529, 17828, 4201, 311, 275, 47877, 627, 333, 1259, 302, 2153, 10, 311, 1199, 10, 302, 451, 322, 42960, 42295, 6494, 7809, 329, 1600, 1239, 324, 1992, 336, 7809, 14, 329, 275, 20533, 42494, 608, 7497, 11266, 302, 3161, 2753, 9489, 4596, 9242, 1070, 808, 5816, 302, 8047, 17, 2077, 8295, 353, 1425, 8529, 6235, 11994, 380, 299, 275, 1136, 302, 4361, 9943, 10770, 329, 275, 19882, 496, 572, 884, 358, 2080, 5575, 311, 928, 11243, 8753, 497, 7591, 4801, 19, 11453, 1582, 6965, 311, 444, 25696, 1182, 292, 275, 2945, 302, 29865, 1013, 1194, 332, 1816, 441, 21489, 19, 3846, 19733, 808, 353, 275, 9728, 5210, 302, 1629, 20178, 47417, 1877, 830, 31, 311, 41483, 3498, 2280, 275, 20357, 302, 4361, 9943, 10770, 329, 21049, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 36704, 26506, 329, 311, 2512, 31821, 311, 874, 1163, 2501, 794, 5491, 16297, 560, 4361, 35569, 19, 46073, 447, 572, 287, 775, 848, 904, 1182, 1194, 808, 19, 204, 2551, 4935, 275, 10114, 523, 275, 1435, 1465, 17585, 529, 4260, 1465, 2624, 5247, 322, 31277, 13188, 2103, 14, 521, 9530, 2219, 1182, 5025, 17712, 348, 6160, 329, 275, 31363, 322, 7927, 12914, 291, 789, 443, 302, 1605, 27559, 2506, 275, 1182, 16049, 38898, 31, 572, 1741, 1519, 311, 2506, 273, 27399, 717, 2501, 302, 8993, 1465, 7582, 17, 1225, 17, 4361, 3272, 17, 329, 19216, 292, 275, 5094, 19, 4253, 496, 884, 88, 2075, 332, 1816, 441, 21489, 329, 3311, 2534, 95, 936, 13037, 7510, 1199, 2181, 8518, 19, 204, 13, 6674, 362, 579, 396, 18278, 415, 815, 11092, 884, 5411, 15285, 311, 19841, 11274, 523, 273, 16147, 4802, 7582, 353, 273, 7051, 9764, 1012, 523, 1429, 9233, 9037, 8993, 322, 2850, 789, 14, 0, 658, 2935, 12322, 30160, 36, 204, 204, 29145, 88, 529, 2927, 719, 302, 42856, 88, 19, 332, 42856, 353, 273, 2875, 2231, 496, 353, 5971, 275, 1351, 302, 273, 542, 329, 1051, 521, 1182, 2558, 7514, 311, 273, 2140, 6409, 2347, 19, 204, 204, 1380, 16821, 302, 30160, 204, 204, 15, 262, 930, 9658, 3493, 88, 1416, 332, 2875, 2231, 17, 1702, 448, 435, 93, 521, 571, 94, 67, 23, 19, 204, 15, 262, 930, 39, 13420, 88, 1416, 7609, 42856, 88, 6571, 17, 1702, 448, 435, 93, 465, 571, 94, 521, 610, 67, 23, 338, 681, 19, 204, 15, 262, 930, 26685, 13420, 88, 1416, 13056, 42856, 88, 6571, 17, 1702, 448, 610, 67, 23, 465, 681, 93, 465, 681, 19, 204, 204, 1380, 334, 30575, 302, 273, 17008, 204, 204, 673, 5746, 302, 273, 5326, 353, 9002, 560, 275, 3018, 440, 275, 6862, 6409, 19, 1765, 1763, 31, 204, 204, 15, 262, 930, 29145, 302, 5746, 368, 1416, 435, 93, 322, 1947, 6862, 6409, 353, 368, 14, 204, 15, 262, 930, 29145, 302, 5746, 435, 1416, 610, 67, 23, 465, 571, 93, 338, 681, 322, 1947, 6862, 6409, 353, 435, 14, 204, 15, 262, 930, 29145, 302, 5746, 571, 1416, 610, 67, 24, 338, 435, 93, 67, 23, 465, 610, 338, 368, 322, 1947, 6862, 6409, 353, 571, 14, 0, 2841, 353, 1236, 2821, 1844, 521, 2717, 292, 275, 1917, 1068, 19, 334, 1068, 6644, 311, 444, 273, 3599, 302, 46392, 329, 15300, 302, 2821, 4764, 17, 18520, 17, 329, 7694, 348, 2804, 19, 828, 872, 2549, 1308, 273, 2824, 2821, 1844, 521, 2717, 17, 382, 1784, 444, 10048, 311, 1340, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 315, 204, 5063, 302, 275, 11036, 38176, 299, 5297, 19, 204, 204, 1834, 3467, 12938, 1662, 311, 732, 275, 11036, 2567, 349, 299, 850, 311, 1900, 273, 19060, 2347, 5825, 19, 204, 3837, 6609, 273, 11036, 32158, 299, 1014, 440, 273, 20560, 15682, 1137, 3680, 17, 11829, 88, 275, 1137, 311, 838, 273, 19060, 1137, 17, 204, 416, 1675, 5018, 275, 11036, 2567, 349, 299, 850, 311, 1900, 275, 19060, 2347, 5825, 19, 204, 315, 204, 204, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 21072, 19, 2816, 68, 26665, 299, 532, 11036, 2567, 349, 299, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 21072, 19, 2816, 68, 43220, 532, 11036, 32158, 299, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 11549, 532, 25966, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 8670, 532, 18404, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 5719, 532, 8361, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 8665, 532, 48019, 204, 204, 204, 461, 838, 68, 5719, 13, 834, 68, 48920, 1613, 31, 421, 17, 35001, 68, 31765, 31, 421, 17, 1419, 68, 2124, 31, 421, 14, 393, 8361, 31, 204, 264, 320, 204, 264, 666, 437, 1964, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 690, 68, 48920, 1613, 322, 339, 330, 3682, 26161, 1613, 292, 3331, 19, 204, 264, 35001, 68, 31765, 322, 339, 330, 3239, 302, 35001, 292, 275, 22758, 19, 204, 264, 1419, 68, 2124, 322, 339, 330, 807, 2344, 19, 204, 204, 264, 475, 31, 204, 264, 8361, 31, 334, 1966, 1964, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 9869, 1014, 204, 264, 9869, 289, 25966, 13, 204, 268, 690, 68, 48920, 1613, 34, 834, 68, 48920, 1613, 17, 204, 268, 35001, 68, 31765, 34, 29679, 68, 31765, 17, 204, 268, 35001, 68, 5293, 68, 31765, 34, 29679, 68, 31765, 17, 204, 268, 35001, 68, 2609, 34, 29679, 68, 31765, 17, 204, 268, 1419, 68, 2124, 34, 3474, 68, 2124, 204, 264, 1179, 204, 204, 264, 314, 666, 273, 5583, 1014, 204, 264, 5583, 289, 18404, 13, 11549, 17, 732, 68, 9445, 62, 34, 1021, 14, 204, 204, 264, 314, 666, 273, 6042, 1014, 204, 264, 6042, 289, 48019, 374, 204, 204, 264, 314, 666, 437, 1964, 1014, 204, 264, 1964, 289, 8361, 13, 11549, 17, 5583, 17, 6042, 14, 204, 204, 264, 407, 1964, 204, 204, 204, 461, 838, 68, 2816, 68, 43220, 13, 5719, 31, 8361, 17, 7497, 68, 4670, 31, 818, 17, 2824, 68, 21072, 31, 818, 14, 393, 11036, 32158, 299, 31, 204, 264, 320, 204, 264, 666, 273, 2817, 18937, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 1964, 322, 11690, 330, 334, 1964, 1014, 19, 204, 264, 7497, 68, 4670, 322, 996, 330, 334, 7497, 1864, 292, 2415, 6166, 19, 204, 264, 2824, 68, 21072, 322, 996, 330, 334, 2824, 7549, 292, 595, 20, 82, 67, 23, 19, 204, 204, 264, 475, 31, 204, 264, 11036, 32158, 299, 31, 334, 1966, 2817, 18937, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2817, 18937, 1014, 440, 273, 20560, 15682, 1137, 3680, 204, 264, 2817, 68, 43220, 289, 11036, 32158, 299, 13, 204, 268, 1964, 17, 204, 268, 1216, 34, 22, 17, 226, 314, 7383, 1137, 3680, 204, 268, 7497, 68, 4670, 34, 35713, 68, 4670, 17, 204, 268, 2824, 68, 21072, 34, 10667, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21072, 204, 264, 1179, 204, 204, 264, 407, 2817, 68, 43220, 204, 204, 204, 461, 838, 68, 26665, 299, 68, 986, 13, 2816, 68, 43220, 31, 11036, 32158, 299, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 666, 273, 19060, 1137, 560, 11829, 299, 275, 2817, 18937, 1137, 19, 204, 204, 264, 4435, 31, 204, 264, 2817, 68, 43220, 322, 17305, 32158, 299, 330, 334, 2817, 18937, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 19060, 1137, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2817, 18937, 2347, 204, 264, 18937, 68, 5747, 289, 2817, 68, 43220, 19, 505, 68, 5747, 374, 204, 204, 264, 314, 36157, 275, 1137, 311, 838, 273, 19060, 1137, 204, 264, 19060, 68, 986, 289, 645, 19, 3535, 13, 1796, 13, 43220, 68, 5747, 602, 540, 846, 13, 43220, 68, 5747, 14, 338, 18937, 68, 5747, 204, 204, 264, 407, 19060, 68, 986, 204, 204, 204, 461, 838, 68, 2816, 68, 26665, 299, 13, 5719, 31, 8361, 17, 19060, 68, 986, 31, 645, 19, 766, 14, 393, 11036, 2567, 349, 299, 31, 204, 264, 320, 204, 264, 666, 273, 2817, 19060, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 1964, 322, 11690, 330, 334, 1964, 1014, 19, 204, 264, 19060, 68, 986, 322, 1123, 19, 766, 330, 334, 19060, 1137, 19, 204, 204, 264, 475, 31, 204, 264, 11036, 2567, 349, 299, 31, 334, 1966, 2817, 19060, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2817, 19060, 1014, 204, 264, 2817, 68, 26665, 299, 289, 11036, 2567, 349, 299, 13, 5719, 17, 1216, 34, 21, 17, 1137, 12470, 34, 26665, 299, 68, 986, 14, 204, 204, 264, 407, 2817, 68, 26665, 299, 204, 204, 204, 461, 1807, 68, 26665, 299, 68, 5747, 13, 2816, 68, 26665, 299, 31, 11036, 2567, 349, 299, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 19060, 2347, 5825, 19, 204, 204, 264, 4435, 31, 204, 264, 2817, 68, 26665, 299, 322, 17305, 2567, 349, 299, 330, 334, 2817, 19060, 1014, 19, 204, 264, 320, 204, 264, 314, 3045, 275, 19060, 2347, 5825, 204, 264, 1513, 19, 1657, 13, 2816, 68, 26665, 299, 19, 505, 68, 5747, 2144, 1800, 1022, 2567, 349, 299, 9554, 551, 60, 24199, 1848, 1022, 71, 431, 204, 264, 1513, 19, 2896, 374, 204, 204, 204, 461, 1523, 68, 2569, 13, 2663, 68, 1657, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 1763, 19, 204, 204, 264, 4435, 31, 204, 264, 770, 68, 1657, 322, 2107, 330, 2266, 311, 1807, 275, 19060, 2347, 5825, 19, 1243, 311, 1078, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1964, 1014, 204, 268, 1964, 289, 838, 68, 5719, 13, 834, 68, 48920, 1613, 34, 17244, 17, 35001, 68, 31765, 34, 20257, 2169, 17, 1419, 68, 2124, 34, 22, 14, 204, 204, 268, 314, 666, 273, 2817, 18937, 1014, 204, 268, 2817, 68, 43220, 289, 838, 68, 2816, 68, 43220, 13, 5719, 17, 7497, 68, 4670, 34, 9333, 17, 2824, 68, 21072, 34, 1719, 14, 204, 204, 268, 314, 666, 273, 19060, 1137, 204, 268, 19060, 68, 986, 289, 838, 68, 26665, 299, 68, 986, 13, 2816, 68, 43220, 14, 204, 204, 268, 314, 666, 273, 2817, 19060, 1014, 204, 268, 2817, 68, 26665, 299, 289, 838, 68, 2816, 68, 26665, 299, 13, 5719, 17, 19060, 68, 986, 14, 204, 204, 268, 314, 763, 275, 19060, 2347, 204, 268, 19060, 68, 5747, 289, 2817, 68, 26665, 299, 19, 505, 68, 5747, 374, 204, 204, 268, 456, 374, 204, 268, 456, 499, 2567, 349, 299, 2347, 5825, 31, 388, 465, 394, 13, 26665, 299, 68, 5747, 602, 204, 204, 268, 314, 3045, 275, 19060, 2347, 5825, 397, 13112, 204, 268, 397, 770, 68, 1657, 31, 204, 305, 1807, 68, 26665, 299, 68, 5747, 13, 2816, 68, 26665, 299, 14, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 2466, 2548, 204, 264, 1523, 68, 2569, 13, 2663, 68, 1657, 34, 1021, 14, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4120, 532, 2557, 204, 204, 676, 6319, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3777, 2927, 560, 273, 575, 523, 273, 1351, 19, 204, 204, 264, 1532, 31, 204, 268, 3777, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 3777, 19, 204, 268, 6374, 322, 996, 330, 334, 6374, 800, 560, 275, 575, 322, 22, 18, 26, 789, 204, 268, 1966, 322, 2664, 330, 334, 1489, 329, 690, 275, 3777, 867, 1966, 19, 204, 268, 15536, 68, 6324, 322, 2107, 330, 2266, 275, 3777, 869, 1742, 15536, 19, 204, 268, 2799, 322, 2491, 330, 334, 575, 1415, 2927, 275, 3777, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 275, 3777, 353, 1465, 19, 204, 264, 320, 204, 204, 264, 850, 25521, 22668, 13, 1618, 19, 3937, 22668, 330, 204, 268, 320, 22668, 348, 275, 6374, 1242, 1279, 204, 268, 37486, 289, 368, 17, 379, 22, 12, 204, 268, 313, 25169, 289, 435, 17, 379, 23, 12, 204, 268, 14363, 18499, 289, 571, 17, 379, 24, 12, 204, 268, 472, 15076, 289, 681, 17, 379, 25, 12, 204, 268, 472, 13211, 289, 720, 17, 379, 26, 12, 204, 204, 264, 3777, 68, 492, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 5758, 14, 204, 264, 6374, 289, 1094, 19, 14192, 13, 204, 268, 846, 68, 5931, 34, 24, 17, 204, 268, 4048, 68, 10474, 34, 23, 17, 204, 268, 5426, 36055, 4352, 19, 876, 17, 3508, 19, 417, 14, 348, 3508, 292, 25521, 22668, 648, 204, 268, 1540, 34, 23728, 22668, 19, 10708, 19, 876, 204, 264, 1179, 204, 264, 1966, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 15536, 68, 6324, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 2799, 289, 1094, 19, 4483, 13, 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, 2557, 19, 10475, 68, 6520, 68, 9534, 17, 204, 268, 523, 68, 2756, 34, 1618, 19, 30270, 17, 204, 268, 3232, 68, 417, 833, 9483, 12, 204, 264, 1179, 204, 264, 1351, 289, 1094, 19, 4483, 13, 204, 268, 379, 7297, 19, 6902, 491, 204, 268, 523, 68, 2756, 34, 1618, 19, 30270, 17, 204, 268, 3232, 68, 417, 833, 9483, 12, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 6266, 273, 782, 2355, 302, 275, 3777, 1279, 204, 268, 407, 283, 1954, 327, 19, 4020, 19, 2574, 2867, 88, 3777, 523, 463, 327, 19, 2572, 19, 417, 2495, 204, 204, 676, 6319, 19327, 13, 13324, 330, 204, 264, 320, 204, 264, 332, 7852, 570, 348, 275, 6319, 570, 17, 9530, 273, 5549, 2013, 302, 275, 6943, 19, 204, 264, 320, 204, 204, 264, 850, 5694, 31, 204, 268, 7852, 289, 959, 204, 268, 2874, 68, 417, 289, 379, 13324, 17993, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 33973, 17993, 12, 204, 0, 461, 949, 68, 19835, 68, 6512, 13, 3474, 68, 876, 31, 421, 17, 771, 22, 31, 421, 17, 771, 23, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9715, 4802, 7339, 2758, 329, 5538, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 876, 322, 339, 330, 334, 1419, 700, 348, 6893, 19, 204, 268, 771, 22, 322, 339, 330, 334, 1043, 542, 348, 4998, 19, 204, 268, 771, 23, 322, 339, 330, 334, 1350, 542, 348, 4998, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 1419, 700, 204, 264, 456, 13, 75, 7, 6238, 700, 31, 463, 3474, 68, 876, 743, 204, 204, 264, 314, 3055, 4802, 7339, 2758, 204, 264, 4998, 68, 1300, 289, 771, 22, 465, 771, 23, 204, 264, 11043, 68, 1300, 289, 771, 22, 338, 771, 23, 204, 264, 6177, 68, 1300, 289, 771, 22, 540, 771, 23, 204, 264, 4854, 68, 1300, 289, 771, 22, 802, 771, 23, 397, 771, 23, 2167, 500, 902, 388, 10219, 3281, 560, 2962, 7, 204, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 499, 29929, 15853, 2212, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 465, 463, 920, 23, 98, 289, 463, 24683, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 338, 463, 920, 23, 98, 289, 463, 37082, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 540, 463, 920, 23, 98, 289, 463, 20950, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 802, 463, 920, 23, 98, 289, 463, 17529, 68, 1300, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 7339, 2758, 8294, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 1419, 68, 876, 289, 720, 204, 264, 771, 22, 289, 931, 204, 264, 771, 23, 289, 435, 204, 204, 264, 456, 499, 30605, 31, 11490, 19898, 15853, 431, 204, 264, 949, 68, 19835, 68, 6512, 13, 3474, 68, 876, 17, 771, 22, 17, 771, 23, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 3837, 6965, 2090, 1422, 529, 3536, 7993, 3237, 19, 382, 6356, 2280, 1475, 1873, 1025, 7490, 11056, 329, 1308, 273, 15497, 2585, 302, 848, 19, 204, 204, 1380, 368, 19, 3239, 6136, 204, 673, 3239, 6136, 353, 273, 2501, 302, 2457, 273, 1627, 302, 886, 1609, 523, 21092, 10939, 19, 1547, 9995, 302, 1792, 3416, 302, 886, 1376, 348, 4183, 17, 7654, 17, 521, 7365, 19, 204, 204, 1380, 435, 19, 7867, 15415, 7806, 302, 15169, 35844, 47364, 204, 673, 7867, 15415, 7806, 302, 273, 15169, 35844, 47364, 353, 275, 1066, 302, 275, 6393, 1462, 15415, 7806, 329, 275, 1864, 302, 275, 970, 12442, 322, 2723, 329, 5533, 789, 204, 204, 1380, 571, 19, 6393, 1462, 15415, 7806, 302, 15169, 35844, 47364, 204, 673, 6393, 1462, 15415, 7806, 302, 273, 15169, 35844, 47364, 353, 275, 3776, 1864, 16533, 275, 1913, 329, 5533, 6587, 19, 204, 204, 1380, 681, 19, 15169, 35844, 47364, 204, 38, 15169, 35844, 47364, 353, 273, 2327, 18, 11464, 2665, 7196, 560, 14228, 273, 13737, 6285, 302, 4960, 19, 1547, 869, 970, 5966, 329, 9951, 12442, 4851, 560, 273, 22946, 22805, 3776, 19, 204, 204, 1380, 720, 19, 30110, 40294, 204, 2021, 30110, 40294, 353, 273, 758, 496, 353, 1936, 311, 275, 2171, 758, 17, 440, 1236, 4372, 1842, 19, 204, 204, 1380, 887, 19, 650, 6457, 598, 4208, 17688, 12850, 204, 2021, 650, 6457, 598, 4208, 17688, 12850, 353, 273, 3302, 440, 970, 1936, 2902, 329, 437, 39042, 2746, 322, 20005, 1194, 4950, 4528, 789, 204, 204, 1380, 1168, 19, 18960, 3201, 204, 38, 18960, 3201, 353, 273, 2327, 18, 11464, 2665, 440, 6699, 13737, 6587, 17, 1273, 970, 4125, 302, 7283, 6587, 529, 5966, 329, 1936, 292, 1302, 19, 204, 204, 1380, 1132, 19, 7867, 15415, 7806, 302, 19664, 204, 673, 7867, 15415, 7806, 302, 273, 19664, 353, 275, 1066, 302, 275, 4549, 302, 830, 6699, 6587, 19, 4682, 830, 6587, 302, 273, 6871, 529, 1936, 17, 275, 2089, 348, 275, 7867, 15415, 7806, 302, 273, 19664, 353, 887, 70, 67, 23, 17, 1273, 379, 70, 12, 353, 275, 1277, 302, 1051, 1653, 302, 275, 6871, 19, 0, 658, 1687, 368, 31, 7173, 275, 800, 1844, 329, 275, 15233, 10134, 302, 275, 47924, 10134, 302, 3615, 13, 89, 14, 204, 673, 1844, 5628, 6154, 275, 15233, 10134, 302, 275, 47924, 10134, 302, 3615, 13, 89, 14, 329, 13377, 490, 440, 275, 722, 8744, 974, 275, 690, 18, 823, 48084, 4355, 302, 275, 15233, 3204, 19, 204, 204, 658, 1687, 435, 31, 20084, 275, 47924, 10134, 329, 1163, 7159, 311, 275, 800, 741, 204, 673, 47924, 10134, 302, 610, 13, 89, 14, 289, 3615, 13, 89, 14, 353, 469, 13, 89, 14, 289, 3615, 13, 89, 338, 5780, 20, 23, 659, 928, 618, 444, 8286, 448, 469, 13, 89, 14, 289, 322, 22, 20, 23, 14, 74, 6023, 79, 89, 338, 781, 3080, 20, 23, 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, 465, 322, 22, 20, 23, 14, 74, 7218, 79, 89, 465, 781, 3080, 20, 23, 789, 204, 204, 658, 1687, 571, 31, 1752, 275, 15233, 10134, 302, 469, 13, 89, 14, 204, 4931, 275, 15233, 10134, 3564, 17, 1358, 13, 13155, 14, 618, 444, 8286, 448, 1358, 13, 13155, 14, 289, 3457, 79, 3080, 30816, 13, 13155, 18, 22, 14, 465, 781, 3080, 30816, 13, 13155, 16, 22, 3917, 1273, 21845, 4504, 275, 3311, 25604, 6189, 741, 19, 204, 204, 658, 1687, 681, 31, 3291, 275, 690, 18, 823, 48084, 4355, 302, 275, 15233, 10134, 204, 673, 690, 18, 823, 48084, 4355, 3584, 496, 472, 96, 93, 13, 89, 338, 265, 21, 4150, 289, 1504, 13, 13155, 14, 74, 7218, 79, 38534, 21, 659, 1273, 1504, 13, 13155, 14, 353, 275, 15233, 10134, 302, 610, 13, 89, 789, 23395, 808, 4355, 311, 610, 13, 89, 338, 5780, 20, 23, 659, 572, 636, 1358, 13, 13155, 14, 289, 1504, 13, 13155, 14, 74, 7218, 79, 13155, 3080, 20, 23, 789, 204, 204, 658, 1687, 720, 31, 4938, 1358, 13, 13155, 14, 974, 275, 690, 18, 823, 48084, 4355, 204, 8758, 1504, 13, 13155, 14, 289, 5780, 30816, 13, 13155, 18, 22, 14, 465, 5780, 30816, 13, 13155, 16, 22, 14, 1025, 275, 1581, 17, 572, 636, 1358, 13, 13155, 14, 289, 322, 3080, 30816, 13, 13155, 18, 22, 14, 465, 5780, 30816, 13, 13155, 16, 22, 602, 74, 7218, 79, 13155, 3080, 20, 23, 789, 204, 204, 658, 1687, 887, 31, 8730, 275, 2231, 348, 1358, 13, 13155, 14, 974, 275, 4355, 302, 275, 3311, 25604, 6189, 741, 204, 673, 4355, 3584, 496, 283, 13, 89, 14, 30816, 13, 89, 14, 289, 283, 13, 21, 14, 30816, 13, 89, 789, 23395, 808, 4355, 17, 572, 636, 1358, 13, 13155, 14, 289, 5780, 30816, 13, 13155, 18, 22, 14, 74, 7218, 79, 13, 22, 14, 3080, 20, 23, 14, 465, 5780, 30816, 13, 13155, 16, 22, 14, 74, 7218, 79, 2422, 22, 14, 3080, 20, 23, 14, 289, 338, 79, 3080, 30816, 13, 13155, 18, 22, 14, 465, 781, 3080, 30816, 13, 13155, 16, 22, 789, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 11775, 79, 65, 1460, 688, 4336, 3453, 11065, 18, 22, 14040, 79, 65, 1460, 688, 4336, 3453, 11065, 16, 22, 18016, 0, 647, 1127, 204, 204, 531, 6934, 19, 750, 68, 22235, 19, 78, 750, 68, 22235, 68, 8380, 532, 3746, 2687, 17, 382, 13656, 26911, 7718, 204, 204, 204, 676, 7759, 26911, 17155, 31, 204, 264, 320, 204, 264, 332, 2548, 496, 32770, 2159, 1609, 523, 575, 537, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 2548, 440, 437, 1392, 575, 537, 3511, 19, 204, 268, 320, 204, 268, 370, 806, 816, 68, 768, 68, 5383, 289, 3026, 204, 204, 264, 436, 1523, 13, 327, 17, 1142, 68, 22235, 31, 382, 13656, 26911, 7718, 17, 771, 68, 2489, 31, 421, 289, 931, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1142, 4497, 2548, 19, 204, 204, 268, 1164, 2394, 1142, 68, 22235, 31, 334, 1142, 14888, 9381, 19, 204, 268, 1164, 2394, 771, 68, 2489, 31, 334, 542, 302, 2159, 311, 2885, 19, 204, 268, 320, 204, 268, 314, 3740, 1419, 3176, 311, 275, 575, 204, 268, 456, 21431, 2101, 1429, 1068, 311, 636, 6911, 2152, 12962, 204, 822, 268, 314, 1606, 1419, 575, 537, 204, 268, 575, 68, 768, 289, 370, 806, 976, 68, 816, 68, 768, 374, 204, 268, 370, 806, 816, 68, 768, 68, 5383, 289, 575, 68, 768, 204, 822, 268, 314, 17610, 275, 1142, 14888, 440, 275, 1419, 575, 537, 204, 268, 1142, 68, 22235, 19, 7571, 13, 816, 68, 768, 14, 204, 204, 268, 314, 9799, 2885, 2159, 3119, 275, 2548, 353, 32666, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 314, 3740, 275, 1913, 392, 3908, 2159, 204, 485, 370, 806, 2994, 68, 10609, 68, 2489, 13, 750, 68, 22235, 19, 2723, 68, 83, 68, 2715, 13, 920, 68, 2489, 602, 204, 7933, 485, 314, 1606, 275, 1682, 575, 537, 204, 485, 575, 68, 768, 289, 370, 806, 976, 68, 816, 68, 768, 374, 204, 485, 370, 806, 816, 68, 768, 68, 5383, 1412, 575, 68, 768, 204, 7933, 485, 314, 17610, 275, 1142, 14888, 440, 275, 717, 575, 537, 204, 485, 1142, 68, 22235, 19, 7571, 13, 816, 68, 768, 14, 204, 305, 827, 16797, 31, 204, 485, 314, 1426, 2548, 978, 18266, 204, 485, 456, 3273, 83, 31480, 2548, 1280, 204, 485, 2280, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 904, 2805, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 264, 436, 906, 2994, 68, 10609, 68, 2489, 13, 327, 17, 3908, 68, 2489, 31, 458, 64, 2644, 64, 996, 17, 394, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 10616, 275, 3908, 2159, 19, 204, 204, 268, 1164, 2394, 3908, 68, 2489, 31, 332, 458, 302, 5760, 1174, 275, 2634, 329, 1142, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 6474, 204, 268, 1127, 19, 4038, 499, 4621, 431, 204, 822, 268, 314, 3740, 275, 575, 537, 3511, 204, 268, 456, 13, 75, 1954, 327, 806, 816, 68, 768, 68, 5383, 98, 5606, 431, 204, 268, 456, 20840, 204, 822, 268, 314, 3740, 275, 3908, 2159, 204, 268, 348, 2634, 17, 1142, 292, 3908, 68, 2489, 31, 204, 305, 456, 13, 75, 1954, 7709, 4567, 24, 75, 2277, 89, 96, 750, 743, 204, 268, 456, 20840, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 976, 68, 816, 68, 768, 374, 393, 394, 31, 204, 268, 320, 204, 268, 4143, 575, 537, 19, 204, 204, 268, 1164, 3309, 31, 334, 575, 537, 19, 204, 268, 320, 204, 268, 407, 537, 41572, 2810, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1142, 14888, 2548, 329, 1523, 490, 440, 275, 34385, 23, 3403, 570, 204, 264, 2548, 289, 7759, 26911, 17155, 374, 204, 264, 2548, 19, 1777, 13, 46, 13656, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26911, 7718, 1528, 1510, 68, 531, 68, 417, 13, 1655, 2687, 19, 44, 6480, 23, 68, 49, 38790, 659, 1607, 14, 204, 0, 461, 636, 68, 804, 68, 2059, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 537, 497, 275, 575, 329, 2584, 275, 542, 302, 683, 2910, 17, 716, 264, 275, 542, 302, 1842, 292, 848, 683, 1322, 17, 275, 1419, 1066, 17, 329, 275, 5692, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 716, 12771, 275, 1419, 1066, 17, 329, 275, 5692, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 329, 275, 1419, 1066, 204, 264, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 329, 275, 1419, 1066, 31, 6165, 1590, 1447, 204, 615, 264, 314, 763, 275, 5692, 204, 264, 5692, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 5692, 31, 6165, 1590, 5887, 204, 615, 264, 407, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 204, 204, 461, 949, 68, 16130, 68, 1303, 13, 3337, 31, 458, 17, 5692, 31, 458, 17, 1419, 68, 1303, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 275, 4009, 302, 3310, 1842, 329, 5692, 17, 716, 264, 1675, 9321, 275, 1419, 1066, 19, 204, 204, 264, 457, 31, 204, 268, 1842, 322, 655, 330, 332, 458, 302, 1842, 19, 204, 268, 5692, 322, 655, 330, 332, 458, 302, 5692, 19, 204, 268, 1419, 68, 1303, 322, 339, 330, 334, 1419, 1066, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 9977, 1066, 19, 204, 264, 320, 204, 264, 314, 888, 275, 9977, 1066, 974, 273, 4651, 2231, 204, 264, 407, 1419, 68, 1303, 465, 1066, 13, 1849, 540, 5514, 348, 1103, 17, 5514, 292, 4337, 13, 3337, 17, 5692, 602, 204, 204, 461, 1040, 68, 6418, 68, 16130, 68, 10089, 13, 920, 68, 804, 68, 3871, 31, 421, 17, 771, 68, 3337, 31, 421, 17, 1419, 68, 1303, 31, 421, 17, 5692, 31, 458, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 683, 2910, 1273, 275, 3392, 9977, 1066, 353, 2140, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 804, 68, 3871, 322, 339, 330, 334, 542, 302, 683, 2910, 19, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 848, 683, 1322, 19, 204, 268, 1419, 68, 1303, 322, 339, 330, 334, 1419, 1066, 19, 204, 268, 5692, 322, 655, 330, 332, 458, 302, 5692, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 19, 204, 264, 320, 204, 264, 314, 977, 273, 4328, 348, 2140, 9977, 8598, 204, 264, 2140, 68, 1303, 68, 765, 289, 500, 204, 615, 264, 314, 1861, 1048, 848, 683, 1322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 314, 763, 275, 1842, 348, 275, 790, 683, 1322, 204, 268, 1842, 289, 458, 13, 1608, 13, 339, 17, 537, 13, 75, 7, 2101, 463, 920, 68, 3337, 98, 1842, 348, 683, 1322, 463, 45343, 22, 2829, 6165, 1590, 5887, 204, 822, 268, 314, 888, 275, 9977, 1066, 348, 275, 790, 683, 1322, 204, 268, 9977, 68, 1303, 289, 949, 68, 16130, 68, 1303, 13, 3337, 17, 5692, 17, 1419, 68, 1303, 14, 204, 822, 268, 314, 778, 397, 275, 9977, 1066, 353, 2140, 204, 268, 397, 9977, 68, 1303, 1323, 500, 31, 204, 305, 314, 7415, 275, 4328, 397, 275, 9977, 1066, 353, 2140, 204, 305, 2140, 68, 1303, 68, 765, 1412, 368, 204, 615, 264, 407, 2140, 68, 1303, 68, 765, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 683, 1322, 537, 204, 264, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 289, 636, 68, 804, 68, 2059, 68, 768, 374, 204, 615, 264, 314, 3398, 275, 542, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 204, 264, 2140, 68, 1303, 68, 765, 289, 1040, 68, 6418, 68, 16130, 68, 10089, 13, 920, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 4290, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 31, 463, 6418, 68, 1303, 68, 765, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5776, 20, 10847, 226, 7409, 984, 241, 984, 241, 226, 10654, 27, 2903, 408, 6969, 18264, 4250, 13733, 1951, 18846, 568, 16607, 408, 6969, 18264, 5851, 28444, 36995, 4250, 21558, 408, 30533, 41912, 21424, 9959, 9518, 990, 2675, 3476, 8464, 6553, 921, 12175, 1390, 408, 5742, 3541, 27202, 18633, 3013, 31264, 7859, 45111, 6155, 408, 6128, 4525, 2638, 11095, 6689, 2615, 8188, 9058, 6155, 2402, 2807, 26334, 35487, 10272, 568, 10847, 34817, 408, 10379, 6969, 18264, 7363, 36995, 4250, 21558, 22131, 854, 9355, 4250, 4241, 24066, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 408, 33213, 990, 10088, 12358, 258, 1001, 921, 7509, 12326, 1822, 3854, 1390, 33239, 408, 26695, 30, 2903, 23, 2544, 568, 226, 41912, 21424, 990, 2675, 3476, 1001, 226, 6969, 18264, 5851, 3944, 36995, 4250, 21558, 990, 1122, 113, 1390, 1001, 1622, 16607, 6969, 18264, 5851, 4250, 1111, 24371, 16607, 1527, 5851, 3944, 27769, 8766, 17864, 3788, 5485, 24371, 1438, 41912, 1886, 6325, 3476, 1111, 1001, 12434, 16607, 408, 6969, 18264, 7678, 36995, 2773, 408, 20319, 12115, 1946, 4228, 7980, 241, 10776, 460, 1438, 40368, 408, 23337, 6301, 36327, 408, 41912, 27489, 408, 3675, 10272, 1490, 1116, 2338, 30533, 49080, 13375, 1002, 35703, 7174, 408, 1970, 6128, 35136, 2321, 3068, 1390, 12175, 17554, 460, 37008, 1886, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10513, 38967, 1111, 408, 36995, 4250, 21558, 16526, 6693, 6969, 18264, 21558, 460, 990, 2453, 16460, 7473, 8464, 5789, 34249, 408, 10847, 21164, 40055, 45264, 47384, 42875, 3784, 6841, 408, 7533, 6969, 18264, 21874, 7363, 36995, 4250, 21558, 29429, 5661, 568, 4635, 34249, 24, 1398, 2188, 1789, 408, 6969, 18264, 26796, 40223, 1189, 3787, 19, 26, 17145, 568, 45264, 5531, 3903, 34084, 408, 29, 2903, 4635, 2544, 41912, 4477, 16548, 4079, 1189, 2985, 408, 21424, 24241, 1189, 26, 4079, 408, 21424, 16161, 1189, 990, 2675, 3476, 8464, 23717, 20814, 2148, 1189, 990, 20814, 6681, 5759, 13004, 21424, 1189, 990, 3976, 19083, 8464, 226, 723, 126, 12598, 4837, 7658, 28576, 226, 9355, 4250, 4241, 24066, 854, 990, 17760, 11093, 229, 43413, 5840, 1001, 226, 40055, 45264, 47384, 42875, 3784, 6841, 45264, 3456, 33568, 12088, 14902, 7473, 8075, 408, 10379, 6969, 18264, 7363, 36995, 4250, 21558, 22131, 854, 9355, 4250, 4241, 24066, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 568, 226, 9355, 4250, 4241, 24066, 26334, 7931, 921, 15626, 1999, 1227, 4136, 4500, 2371, 408, 21874, 5385, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 14281, 4411, 12703, 16873, 1773, 6290, 1527, 2831, 2014, 4900, 408, 2570, 4239, 6290, 460, 9531, 854, 23455, 33495, 408, 8936, 31026, 854, 6969, 18264, 6540, 14902, 7473, 2853, 408, 9355, 4250, 4241, 24066, 9189, 1377, 23230, 408, 39338, 32171, 1251, 568, 4747, 2773, 7780, 10774, 19267, 408, 40223, 44281, 4129, 1822, 3058, 12598, 10776, 7780, 10774, 45034, 408, 40223, 44281, 11219, 408, 7466, 1456, 10434, 723, 126, 12598, 4837, 7658, 27042, 16038, 568, 226, 3167, 19908, 5531, 3903, 10222, 408, 18119, 9355, 4250, 4241, 24066, 2499, 990, 10088, 12358, 258, 1001, 921, 7509, 12326, 1822, 3854, 1390, 33239, 408, 26695, 30, 2903, 23, 2544, 568, 35733, 408, 6969, 18264, 460, 36995, 4250, 21558, 2499, 10852, 9959, 1524, 30, 46587, 568, 226, 9459, 24340, 1984, 6613, 14902, 13500, 15572, 204, 0, 8, 2384, 68, 2472, 68, 2754, 19, 948, 204, 204, 676, 7050, 11626, 31, 204, 264, 320, 204, 264, 2646, 273, 2384, 677, 2434, 292, 437, 12130, 19, 204, 204, 264, 1532, 31, 204, 268, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 2384, 19, 204, 268, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 268, 3397, 22, 68, 2472, 322, 339, 330, 5979, 348, 3397, 368, 19, 204, 268, 3397, 23, 68, 2472, 322, 339, 330, 5979, 348, 3397, 435, 19, 204, 268, 3397, 24, 68, 2472, 322, 339, 330, 5979, 348, 3397, 571, 19, 204, 268, 5050, 322, 339, 330, 37307, 5050, 302, 275, 2384, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2384, 68, 359, 31, 421, 17, 588, 31, 394, 17, 12130, 68, 1190, 31, 421, 17, 3397, 22, 68, 2472, 31, 421, 17, 3397, 23, 68, 2472, 31, 421, 17, 3397, 24, 68, 2472, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 7050, 11626, 726, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 588, 322, 325, 330, 4014, 302, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 305, 3397, 22, 68, 2472, 322, 339, 330, 5979, 348, 3397, 368, 19, 204, 305, 3397, 23, 68, 2472, 322, 339, 330, 5979, 348, 3397, 435, 19, 204, 305, 3397, 24, 68, 2472, 322, 339, 330, 5979, 348, 3397, 571, 19, 204, 268, 320, 204, 268, 370, 19, 4865, 68, 359, 289, 2384, 68, 359, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 37973, 68, 1190, 289, 12130, 68, 1190, 204, 268, 370, 19, 6846, 22, 68, 2472, 289, 3397, 22, 68, 2472, 204, 268, 370, 19, 6846, 23, 68, 2472, 289, 3397, 23, 68, 2472, 204, 268, 370, 19, 6846, 24, 68, 2472, 289, 3397, 24, 68, 2472, 204, 268, 370, 19, 9234, 289, 370, 19, 3446, 68, 9234, 374, 204, 204, 264, 436, 949, 68, 9234, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 8926, 5050, 302, 275, 2384, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 37307, 5050, 302, 275, 2384, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1113, 9035, 204, 268, 1113, 68, 8063, 289, 370, 19, 6846, 22, 68, 2472, 465, 370, 19, 6846, 23, 68, 2472, 465, 370, 19, 6846, 24, 68, 2472, 204, 822, 268, 314, 888, 275, 5050, 204, 268, 397, 1113, 68, 8063, 564, 500, 31, 204, 305, 407, 500, 204, 268, 902, 31, 204, 305, 407, 322, 2609, 68, 8063, 802, 6562, 14, 540, 1607, 204, 204, 204, 676, 7050, 11626, 3313, 31, 204, 264, 320, 204, 264, 16318, 273, 3599, 302, 2384, 9035, 19, 204, 204, 264, 1532, 31, 204, 268, 2384, 68, 8063, 322, 873, 330, 6881, 302, 2384, 9035, 1273, 275, 896, 353, 273, 927, 302, 2384, 68, 359, 329, 12130, 68, 1190, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 7050, 11626, 3313, 726, 19, 204, 268, 320, 204, 268, 370, 19, 4865, 68, 8063, 289, 2087, 204, 204, 264, 436, 881, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 2472, 31, 7050, 11626, 330, 204, 268, 320, 204, 268, 5276, 273, 2384, 2434, 311, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 2472, 322, 11635, 11626, 330, 7050, 11626, 726, 311, 881, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2861, 2560, 204, 268, 397, 322, 4865, 68, 2472, 19, 4865, 68, 359, 17, 2384, 68, 2472, 19, 37973, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 456, 499, 11635, 2434, 2861, 2560, 1280, 204, 268, 902, 31, 204, 305, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 2472, 19, 4865, 68, 359, 17, 2384, 68, 2472, 19, 37973, 68, 1190, 2395, 289, 2384, 68, 2472, 204, 204, 264, 436, 636, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 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, 12130, 68, 1190, 31, 421, 14, 393, 7050, 11626, 31, 204, 268, 320, 204, 268, 4071, 273, 2384, 2434, 497, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 204, 268, 475, 31, 204, 305, 7050, 11626, 31, 7050, 11626, 726, 397, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 407, 370, 19, 4865, 68, 8063, 19, 505, 1802, 4865, 68, 359, 17, 12130, 68, 1190, 602, 204, 204, 264, 436, 1395, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 17, 12130, 68, 1190, 31, 421, 17, 3397, 22, 68, 2472, 31, 421, 17, 3397, 23, 68, 2472, 31, 421, 17, 3397, 24, 68, 2472, 31, 421, 330, 204, 268, 320, 204, 268, 5307, 273, 2384, 2434, 292, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 305, 3397, 22, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 368, 19, 204, 305, 3397, 23, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 435, 19, 204, 305, 3397, 24, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 571, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2560, 204, 268, 397, 322, 4865, 68, 359, 17, 12130, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 2384, 68, 2472, 289, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 359, 17, 12130, 68, 1190, 2395, 204, 305, 2384, 68, 2472, 19, 6846, 22, 68, 2472, 289, 3397, 22, 68, 2472, 204, 305, 2384, 68, 2472, 19, 6846, 23, 68, 2472, 289, 3397, 23, 68, 2472, 204, 305, 2384, 68, 2472, 19, 6846, 24, 68, 2472, 289, 3397, 24, 68, 2472, 204, 305, 2384, 68, 2472, 19, 9234, 289, 2384, 68, 2472, 19, 3446, 68, 9234, 374, 204, 268, 902, 31, 204, 305, 456, 499, 11635, 2434, 1583, 508, 1337, 1280, 204, 204, 264, 436, 4032, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 17, 12130, 68, 1190, 31, 421, 330, 204, 268, 320, 204, 268, 11183, 273, 2384, 2434, 497, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2560, 204, 268, 397, 322, 4865, 68, 359, 17, 12130, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 6924, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 359, 17, 12130, 68, 1190, 2395, 204, 268, 902, 31, 204, 305, 456, 499, 11635, 2434, 1583, 508, 1337, 1280, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 7050, 11626, 3313, 726, 204, 264, 2384, 68, 2472, 68, 2754, 289, 7050, 11626, 3313, 374, 204, 204, 264, 314, 666, 7050, 11626, 2828, 204, 264, 2384, 68, 2472, 22, 289, 7050, 11626, 13, 22, 17, 388, 6192, 7358, 528, 368, 17, 5074, 17, 4950, 17, 6787, 14, 204, 264, 2384, 68, 2472, 23, 289, 7050, 11626, 13, 23, 17, 388, 14993, 7358, 528, 368, 17, 4950, 17, 5074, 17, 4950, 14, 204, 204, 264, 314, 1255, 2384, 9035, 311, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 826, 68, 4865, 68, 2472, 13, 4865, 68, 2472, 22, 14, 204, 264, 2384, 68, 2472, 68, 2754, 19, 826, 68, 4865, 68, 2472, 13, 4865, 68, 2472, 23, 14, 204, 204, 264, 314, 4491, 273, 2384, 2434, 497, 275, 3599, 204, 264, 8781, 68, 4865, 68, 2472, 289, 2384, 68, 2472, 68, 2754, 19, 505, 68, 4865, 68, 2472, 13, 22, 17, 368, 14, 204, 264, 397, 8781, 68, 4865, 68, 2472, 31, 204, 268, 456, 13, 75, 7, 11635, 1222, 31, 463, 22679, 68, 4865, 68, 2472, 19, 4865, 68, 359, 743, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 22679, 68, 4865, 68, 2472, 19, 417, 743, 204, 268, 456, 13, 75, 7, 5039, 17549, 3239, 31, 463, 22679, 68, 4865, 68, 2472, 19, 37973, 68, 1190, 743, 204, 268, 456, 13, 75, 7, 16920, 368, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 22, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 16920, 435, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 23, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 16920, 571, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 24, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 28246, 31, 463, 22679, 68, 4865, 68, 2472, 19, 9234, 28131, 204, 204, 264, 314, 1716, 273, 2384, 2434, 292, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 2045, 68, 4865, 68, 2472, 13, 22, 17, 368, 17, 12961, 17, 10787, 17, 7776, 14, 204, 204, 264, 314, 4491, 275, 2908, 2384, 2434, 497, 275, 3599, 204, 264, 2908, 68, 4865, 68, 2472, 289, 2384, 68, 2472, 68, 2754, 19, 505, 68, 4865, 68, 2472, 13, 22, 17, 368, 14, 204, 264, 397, 2908, 68, 4865, 68, 2472, 31, 204, 268, 456, 13, 75, 7, 10510, 7050, 1222, 31, 463, 8107, 68, 4865, 68, 2472, 19, 4865, 68, 359, 743, 204, 268, 456, 13, 75, 7, 10510, 4014, 31, 463, 8107, 68, 4865, 68, 2472, 19, 417, 743, 204, 268, 456, 13, 75, 7, 10510, 23256, 3239, 31, 463, 8107, 68, 4865, 68, 2472, 19, 37973, 68, 1190, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 368, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 22, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 435, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 23, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 571, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 24, 68, 2472, 743, 204, 268, 456, 13, 75, 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, 10510, 21491, 31, 463, 8107, 68, 4865, 68, 2472, 19, 9234, 28131, 204, 204, 264, 314, 6117, 273, 2384, 2434, 497, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 2756, 68, 4865, 68, 2472, 13, 23, 17, 368, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 5888, 19, 1618, 532, 16949, 204, 531, 1332, 375, 539, 19, 1618, 19, 2572, 532, 5310, 204, 204, 676, 2221, 43, 33156, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 10551, 1351, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 27703, 330, 334, 575, 1415, 6972, 2197, 275, 1351, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 496, 867, 6972, 2197, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 782, 2355, 302, 275, 575, 677, 1692, 19, 204, 264, 320, 204, 264, 575, 289, 1094, 19, 4483, 13, 27703, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 20037, 68, 7297, 534, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 16183, 2197, 68, 1424, 534, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 314, 455, 275, 1692, 302, 275, 575, 1415, 6972, 2197, 275, 1351, 204, 268, 407, 370, 19, 816, 19, 2302, 204, 204, 264, 850, 5694, 31, 204, 268, 314, 5694, 850, 348, 2221, 43, 33156, 570, 204, 268, 2874, 68, 417, 289, 379, 43, 33156, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 43, 5667, 3379, 12, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 816, 68, 16183, 3379, 13, 4621, 17, 575, 31, 16949, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 4009, 6972, 2197, 560, 273, 800, 575, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 6738, 38627, 529, 311, 444, 8781, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 4009, 6972, 2197, 560, 275, 575, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 3232, 68, 417, 311, 636, 275, 10551, 4009, 348, 275, 800, 575, 204, 268, 407, 575, 19, 20037, 68, 7297, 19, 668, 374, 204, 204, 264, 1642, 6649, 204, 264, 436, 881, 68, 20037, 13, 4621, 17, 575, 31, 16949, 17, 1351, 31, 5310, 14, 393, 379, 2491, 43, 33156, 597, 204, 268, 320, 204, 268, 5276, 273, 1351, 311, 273, 575, 677, 38627, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 1415, 11237, 311, 10551, 275, 1351, 19, 204, 305, 1351, 322, 6902, 330, 334, 1351, 311, 444, 6972, 2197, 19, 204, 204, 268, 475, 31, 204, 305, 2221, 43, 33156, 31, 334, 9932, 1966, 10551, 1014, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 10551, 1014, 329, 2106, 490, 311, 275, 1104, 204, 268, 10551, 17, 906, 289, 4963, 19, 2856, 19, 505, 68, 276, 68, 1510, 13, 816, 34, 816, 17, 1351, 34, 2572, 14, 204, 268, 407, 10551, 204, 204, 264, 1642, 6649, 204, 264, 436, 3142, 68, 20037, 13, 4621, 17, 575, 31, 16949, 17, 1351, 31, 5310, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8847, 273, 1351, 497, 273, 575, 677, 38627, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 1415, 11237, 311, 794, 20037, 275, 1351, 19, 204, 305, 1351, 322, 6902, 330, 334, 1351, 311, 444, 794, 16183, 2197, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 3232, 68, 417, 311, 636, 275, 10551, 1014, 329, 4032, 490, 204, 268, 4963, 19, 2856, 19, 2741, 13, 816, 34, 816, 17, 1351, 34, 2572, 789, 2756, 374, 204, 0, 647, 2164, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 3752, 68, 8670, 68, 481, 13, 3366, 68, 900, 74, 359, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 11244, 275, 790, 5583, 424, 348, 273, 800, 2852, 497, 275, 5694, 22869, 1893, 19, 204, 204, 264, 457, 31, 204, 268, 2852, 68, 900, 74, 359, 322, 339, 330, 334, 595, 27194, 1701, 302, 275, 2852, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 2084, 958, 497, 275, 1893, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 5583, 68, 2005, 289, 283, 12, 3189, 1963, 4537, 19, 6656, 8670, 19, 1453, 20, 2005, 20, 3366, 4235, 3366, 68, 900, 74, 359, 2867, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 8670, 68, 2005, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 10775, 5583, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1813, 68, 3366, 13, 2120, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 2852, 560, 1484, 329, 2584, 1163, 595, 27194, 1701, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 322, 325, 330, 334, 2852, 1484, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 595, 27194, 1701, 302, 275, 2852, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 2852, 68, 1803, 68, 2005, 289, 283, 12, 3189, 1963, 4537, 19, 6656, 8670, 19, 1453, 20, 2005, 20, 3366, 20, 1803, 24605, 2120, 2508, 2120, 2867, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 3366, 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, 1803, 68, 2005, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 314, 455, 275, 595, 27194, 1701, 302, 275, 1043, 722, 204, 268, 407, 958, 19, 1775, 8083, 21, 6690, 900, 74, 359, 839, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 14223, 348, 2852, 31, 463, 74, 743, 204, 268, 407, 443, 204, 264, 827, 9394, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 397, 1236, 1563, 529, 1193, 204, 268, 1361, 19, 718, 13, 75, 7, 3882, 1563, 1193, 348, 2852, 1484, 31, 463, 2120, 743, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 6579, 11343, 5583, 424, 204, 264, 3799, 12508, 68, 900, 74, 359, 289, 24908, 26, 45416, 204, 264, 3799, 12508, 68, 8670, 289, 3752, 68, 8670, 68, 481, 13, 81, 10136, 68, 900, 74, 359, 14, 204, 264, 397, 3799, 12508, 68, 8670, 31, 204, 268, 314, 1198, 275, 37200, 690, 329, 22494, 204, 268, 456, 13, 75, 7, 32618, 37200, 690, 31, 463, 81, 10136, 68, 8670, 736, 19655, 68, 574, 9436, 204, 268, 456, 13, 75, 7, 32618, 22494, 31, 463, 81, 10136, 68, 8670, 736, 495, 26463, 756, 68, 8670, 6970, 21, 6690, 22642, 9436, 204, 204, 264, 314, 6994, 348, 30819, 29200, 329, 3752, 1163, 5583, 424, 204, 264, 373, 965, 68, 80, 965, 68, 2120, 289, 379, 45, 965, 29200, 12, 204, 264, 373, 965, 68, 80, 965, 68, 900, 74, 359, 289, 1813, 68, 3366, 13, 77, 965, 68, 80, 965, 68, 2120, 14, 204, 264, 397, 373, 965, 68, 80, 965, 68, 900, 74, 359, 31, 204, 268, 373, 965, 68, 80, 965, 68, 8670, 289, 3752, 68, 8670, 68, 481, 13, 77, 965, 68, 80, 965, 68, 900, 74, 359, 14, 204, 268, 397, 373, 965, 68, 80, 965, 68, 8670, 31, 204, 305, 314, 1198, 275, 37200, 690, 329, 22494, 204, 305, 456, 13, 75, 7, 45, 965, 29200, 37200, 690, 31, 463, 77, 965, 68, 80, 965, 68, 8670, 736, 19655, 68, 574, 9436, 204, 305, 456, 13, 75, 7, 45, 965, 29200, 22494, 31, 463, 77, 965, 68, 80, 965, 68, 8670, 736, 495, 26463, 756, 68, 8670, 6970, 21, 6690, 22642, 9436, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 38, 13708, 353, 273, 9902, 2665, 496, 618, 444, 4310, 292, 4109, 6542, 18655, 17, 2864, 10781, 2817, 17, 25348, 5685, 17, 329, 2450, 5685, 19, 204, 204, 1380, 47151, 292, 10781, 11036, 204, 204, 837, 10781, 2817, 17, 273, 13708, 353, 273, 758, 302, 4315, 18, 2604, 41705, 1070, 497, 273, 917, 3250, 275, 4678, 19, 334, 8042, 302, 275, 13708, 9995, 302, 4315, 18, 2604, 3250, 17065, 17, 928, 529, 1085, 302, 273, 378, 787, 3776, 19, 334, 6907, 302, 275, 13708, 440, 273, 4315, 18, 2816, 1174, 275, 4678, 329, 17173, 560, 273, 6258, 508, 12056, 1924, 275, 4678, 353, 1425, 3250, 273, 13708, 19, 592, 808, 1322, 17, 275, 1085, 302, 275, 6258, 6204, 275, 378, 787, 3776, 353, 3250, 275, 1034, 17, 329, 275, 1085, 302, 275, 378, 787, 3776, 1283, 275, 1034, 329, 275, 4678, 353, 3250, 275, 22805, 3776, 19, 204, 204, 38, 9951, 13708, 353, 273, 13708, 440, 273, 8387, 18, 19918, 1034, 19, 332, 7400, 9951, 13708, 869, 1163, 4678, 5104, 4166, 275, 3466, 302, 275, 1034, 19, 334, 3351, 302, 273, 7400, 9951, 13708, 353, 800, 560, 275, 2089, 31, 204, 204, 59, 289, 322, 22, 20, 24, 14, 3080, 55, 3231, 77, 204, 204, 3663, 361, 353, 275, 3441, 302, 275, 1034, 329, 373, 353, 275, 1853, 302, 275, 13708, 19, 204, 204, 1380, 47151, 292, 2416, 538, 4132, 11036, 204, 204, 837, 273, 25348, 2817, 17, 273, 13708, 1048, 273, 2817, 1504, 353, 275, 2817, 346, 61, 8744, 560, 734, 4826, 1908, 275, 29838, 1504, 2771, 463, 21, 98, 311, 273, 917, 17, 3250, 275, 4678, 19, 1058, 9511, 353, 1376, 311, 7072, 275, 4707, 13708, 302, 273, 7346, 4707, 1283, 25348, 5685, 19, 204, 204, 1380, 47151, 292, 8639, 11036, 204, 204, 837, 273, 2450, 2817, 17, 273, 13708, 353, 273, 758, 1144, 1702, 496, 11895, 48, 39889, 1144, 348, 1169, 11895, 1323, 500, 19, 332, 13708, 353, 3250, 31, 204, 204, 15, 262, 930, 6661, 336, 777, 397, 500, 11966, 1144, 204, 15, 262, 930, 21414, 1275, 777, 397, 1144, 3192, 1236, 1051, 18, 11464, 29838, 204, 15, 262, 930, 1046, 13053, 777, 397, 1144, 353, 273, 16453, 7370, 302, 275, 2450, 2817, 204, 15, 262, 930, 1252, 47629, 777, 397, 1169, 1103, 292, 275, 2450, 2817, 618, 444, 8286, 448, 273, 2712, 302, 1842, 292, 1144, 204, 204, 38, 13708, 292, 273, 26424, 714, 2817, 353, 273, 7106, 17, 16453, 17, 329, 4005, 1275, 758, 19, 334, 7156, 302, 35675, 292, 26424, 714, 5685, 869, 1742, 7001, 17, 2864, 275, 3220, 302, 2519, 17, 4217, 17, 329, 27267, 43543, 35675, 19, 204, 204, 1380, 12636, 329, 18190, 204, 204, 1046, 301, 874, 4109, 3564, 329, 7177, 292, 9207, 17, 2864, 31, 204, 204, 15, 262, 930, 8477, 7156, 1416, 852, 301, 618, 444, 1376, 311, 7072, 1552, 11947, 292, 2450, 5685, 19, 204, 15, 262, 930, 45003, 1416, 852, 301, 529, 1376, 292, 11689, 7156, 311, 7072, 8534, 18, 27620, 12701, 302, 1950, 18, 27118, 17986, 19, 204, 15, 262, 930, 9199, 281, 4249, 1416, 852, 301, 529, 1376, 311, 3220, 275, 8605, 302, 26424, 714, 5685, 329, 311, 7072, 4109, 3003, 302, 13220, 19, 204, 204, 26212, 17, 35675, 529, 437, 3287, 3773, 292, 9207, 17, 440, 7177, 292, 8605, 17, 18681, 17, 329, 14064, 4249, 19, 0, 3719, 872, 7921, 11616, 311, 6321, 346, 6428, 1073, 9779, 17, 872, 4230, 1523, 5229, 1051, 302, 275, 19264, 6562, 406, 549, 12133, 496, 49070, 1422, 19, 6917, 275, 26763, 19805, 17, 16020, 33626, 884, 89, 4675, 311, 8402, 1017, 21391, 5501, 440, 1475, 17, 329, 1910, 12133, 1466, 1824, 8944, 19, 15601, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1017, 28864, 3848, 622, 555, 275, 1864, 17, 329, 1335, 1017, 3307, 11155, 884, 89, 7249, 17, 334, 45397, 9337, 1250, 529, 1622, 70, 1370, 1382, 1763, 302, 4610, 47082, 329, 24272, 3582, 204, 38, 1481, 6562, 406, 549, 12133, 49070, 292, 275, 435, 17, 9913, 2415, 36362, 2317, 521, 3332, 368, 17, 28843, 2415, 12137, 2317, 27956, 9624, 630, 346, 6428, 1073, 9779, 292, 42549, 19, 334, 346, 6428, 1073, 9779, 415, 46768, 17, 437, 16244, 3511, 302, 275, 690, 17, 27856, 1465, 1622, 39161, 1662, 2772, 17, 9221, 311, 636, 523, 275, 27784, 19, 37621, 22786, 17, 520, 15512, 4825, 19, 334, 15553, 1466, 23715, 1475, 685, 2528, 17, 22790, 299, 1475, 19, 3433, 16001, 1877, 275, 27784, 348, 10673, 3582, 13716, 43689, 9453, 292, 311, 16483, 275, 26613, 7160, 32, 334, 45397, 9337, 1429, 5557, 38714, 9172, 6468, 13697, 7506, 523, 1017, 19157, 15024, 275, 1786, 10340, 508, 311, 10010, 1017, 21391, 19, 204, 8390, 12133, 3756, 16979, 17, 329, 490, 884, 88, 1017, 28864, 1415, 5794, 1422, 5319, 19, 12412, 7977, 529, 3697, 329, 5027, 2317, 440, 1622, 37956, 7098, 4683, 302, 12772, 292, 1017, 22021, 1001, 329, 273, 41623, 3307, 35764, 19, 8624, 302, 275, 7160, 4006, 884, 89, 5794, 5378, 6699, 2181, 3299, 17, 5575, 311, 334, 45397, 19, 204, 4259, 3237, 884, 88, 1273, 275, 10509, 7336, 292, 31, 36920, 874, 1966, 2637, 373, 12556, 348, 12133, 513, 4133, 4789, 29681, 19, 5269, 5439, 45138, 7365, 8414, 472, 15199, 16588, 4481, 719, 2327, 45340, 44834, 15182, 2317, 1051, 353, 6204, 275, 4968, 19, 3433, 884, 272, 8801, 16665, 329, 507, 3177, 299, 275, 12133, 17, 329, 2906, 7962, 49119, 19, 3665, 618, 1151, 1182, 1465, 1017, 1225, 329, 48952, 3237, 19, 204, 40, 6428, 1073, 9779, 10459, 3886, 32694, 8934, 24631, 8029, 392, 4949, 16306, 1805, 17920, 478, 539, 10571, 334, 45397, 19508, 8336, 275, 7160, 17, 329, 2268, 1583, 17, 4440, 19, 3065, 529, 1236, 5035, 4238, 27176, 1475, 17, 329, 2268, 2842, 12692, 19508, 311, 732, 275, 1729, 2323, 7211, 1250, 1784, 3332, 406, 20510, 19, 334, 12133, 874, 3891, 311, 10724, 448, 794, 36828, 346, 6428, 1073, 9779, 309, 12010, 5032, 19, 204, 59, 1257, 334, 45397, 204, 24049, 39301, 302, 32694, 8934, 24631, 0, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1535, 204, 204, 676, 19496, 31, 204, 264, 320, 204, 264, 2646, 273, 6160, 4891, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 6160, 19, 204, 268, 6160, 68, 417, 322, 325, 330, 4014, 302, 275, 6160, 19, 204, 268, 5025, 68, 359, 322, 325, 330, 19780, 1222, 302, 275, 6160, 19, 204, 268, 3783, 322, 325, 330, 16769, 542, 302, 275, 6160, 19, 204, 268, 12376, 1154, 322, 325, 330, 23803, 28423, 1576, 302, 275, 6160, 19, 204, 268, 869, 68, 2115, 278, 68, 10417, 578, 322, 2107, 330, 2266, 275, 6160, 869, 1742, 36338, 19, 204, 268, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 322, 2107, 330, 2266, 275, 6160, 869, 5333, 23695, 292, 275, 1673, 1168, 2181, 19, 204, 268, 39394, 68, 672, 322, 2664, 330, 7300, 1330, 275, 6160, 867, 7634, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 17, 716, 1095, 6160, 68, 417, 31, 394, 17, 716, 1095, 5025, 68, 359, 31, 394, 17, 716, 1095, 3783, 31, 394, 17, 716, 1095, 12376, 1154, 31, 394, 17, 716, 1095, 869, 68, 2115, 278, 68, 10417, 578, 31, 1109, 17, 716, 1095, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 31, 1109, 17, 716, 1095, 39394, 68, 672, 31, 1804, 330, 204, 268, 320, 204, 268, 1865, 273, 19496, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 6160, 19, 204, 305, 6160, 68, 417, 322, 325, 330, 4014, 302, 275, 6160, 19, 204, 305, 5025, 68, 359, 322, 325, 330, 19780, 1222, 302, 275, 6160, 19, 204, 305, 3783, 322, 325, 330, 16769, 542, 302, 275, 6160, 19, 204, 305, 12376, 1154, 322, 325, 330, 23803, 28423, 1576, 302, 275, 6160, 19, 204, 305, 869, 68, 2115, 278, 68, 10417, 578, 322, 2107, 330, 2266, 275, 6160, 869, 1742, 36338, 19, 204, 305, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 322, 2107, 330, 2266, 275, 6160, 869, 5333, 23695, 292, 275, 1673, 1168, 2181, 19, 204, 305, 39394, 68, 672, 322, 2664, 330, 7300, 1330, 275, 6160, 867, 7634, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 17988, 68, 417, 289, 6160, 68, 417, 204, 268, 370, 19, 10924, 68, 359, 289, 5025, 68, 359, 204, 268, 370, 19, 4700, 289, 3783, 204, 268, 370, 19, 3662, 1154, 289, 12376, 1154, 204, 268, 370, 19, 4753, 68, 2115, 278, 68, 10417, 578, 289, 869, 68, 2115, 278, 68, 10417, 578, 204, 268, 370, 19, 4753, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 289, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 204, 268, 370, 19, 38335, 68, 672, 289, 39394, 68, 672, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 19496, 726, 204, 268, 407, 283, 7, 32239, 463, 327, 19, 359, 2829, 463, 327, 19, 17988, 68, 417, 2495, 204, 204, 204, 676, 23036, 11443, 336, 41670, 8900, 31, 204, 264, 320, 204, 264, 2646, 370, 18, 40479, 11238, 3714, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11238, 3714, 424, 19, 204, 268, 8213, 68, 22218, 322, 996, 330, 25590, 12918, 302, 275, 6160, 19, 204, 268, 9433, 68, 5670, 68, 10997, 68, 3631, 322, 996, 330, 35013, 2480, 5333, 3188, 302, 275, 6160, 19, 204, 268, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 322, 996, 330, 35013, 2480, 9244, 2786, 3351, 302, 275, 6160, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 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, 716, 1095, 8213, 68, 22218, 31, 818, 17, 716, 1095, 9433, 68, 5670, 68, 10997, 68, 3631, 31, 818, 17, 716, 1095, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 23036, 11443, 336, 41670, 8900, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11238, 3714, 424, 19, 204, 305, 8213, 68, 22218, 322, 996, 330, 25590, 12918, 302, 275, 6160, 19, 204, 305, 9433, 68, 5670, 68, 10997, 68, 3631, 322, 996, 330, 35013, 2480, 5333, 3188, 302, 275, 6160, 19, 204, 305, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 322, 996, 330, 35013, 2480, 9244, 2786, 3351, 302, 275, 6160, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 25476, 68, 22218, 289, 8213, 68, 22218, 204, 268, 370, 19, 18808, 68, 5670, 68, 10997, 68, 3631, 289, 9433, 68, 5670, 68, 10997, 68, 3631, 204, 268, 370, 19, 18808, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 289, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 23036, 11443, 336, 41670, 8900, 726, 204, 268, 407, 283, 7, 41670, 18582, 463, 327, 19, 359, 2829, 25590, 39835, 338, 463, 327, 19, 25476, 68, 22218, 2495, 204, 204, 204, 676, 11385, 31, 204, 264, 320, 204, 264, 2646, 437, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1995, 19, 204, 268, 1995, 68, 22, 322, 325, 330, 6867, 1007, 302, 275, 1995, 19, 204, 268, 1995, 68, 23, 322, 325, 330, 10110, 1007, 302, 275, 1995, 19, 204, 268, 3226, 68, 417, 322, 325, 330, 8187, 588, 19, 204, 268, 1259, 68, 417, 322, 325, 330, 5140, 588, 19, 204, 268, 4337, 68, 1181, 322, 325, 330, 28757, 1576, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 17, 716, 1095, 1995, 68, 22, 31, 394, 17, 716, 1095, 1995, 68, 23, 31, 1535, 64, 325, 66, 289, 443, 17, 716, 1095, 3226, 68, 417, 31, 394, 289, 8897, 716, 1095, 1259, 68, 417, 31, 394, 289, 8897, 716, 1095, 4337, 68, 1181, 31, 394, 289, 35152, 204, 268, 320, 204, 268, 1865, 437, 11385, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1995, 19, 204, 305, 1995, 68, 22, 322, 325, 330, 6867, 1007, 302, 275, 1995, 19, 204, 305, 1995, 68, 23, 322, 325, 17, 1448, 330, 10110, 1007, 302, 275, 1995, 19, 1243, 311, 443, 19, 204, 305, 3226, 68, 417, 322, 325, 17, 1448, 330, 8187, 588, 19, 1243, 311, 13080, 204, 305, 1259, 68, 417, 322, 325, 17, 1448, 330, 5140, 588, 19, 1243, 311, 13080, 204, 305, 4337, 68, 1181, 322, 325, 17, 1448, 330, 28757, 1576, 19, 1243, 311, 13080, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 2820, 68, 22, 289, 1995, 68, 22, 204, 268, 370, 19, 2820, 68, 23, 289, 1995, 68, 23, 204, 268, 370, 19, 5419, 68, 417, 289, 3226, 68, 417, 204, 268, 370, 19, 1512, 68, 417, 289, 1259, 68, 417, 204, 268, 370, 19, 5714, 68, 1181, 289, 4337, 68, 1181, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 11385, 726, 204, 268, 407, 283, 7, 10979, 463, 327, 19, 359, 2829, 463, 327, 19, 2820, 68, 22, 1522, 463, 327, 19, 5419, 68, 417, 1522, 463, 327, 19, 1512, 68, 417, 98, 463, 327, 19, 5714, 68, 1181, 2495, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 19496, 726, 204, 264, 6160, 289, 19496, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 6160, 68, 417, 1022, 5063, 19496, 528, 716, 268, 5025, 68, 359, 1022, 24325, 528, 716, 268, 3783, 1022, 4326, 18, 7372, 18, 25820, 528, 716, 268, 12376, 1154, 1022, 9702, 528, 716, 268, 869, 68, 2115, 278, 68, 10417, 578, 34, 1021, 17, 716, 268, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 34, 1975, 17, 716, 268, 39394, 68, 672, 34, 2664, 13, 7267, 17, 368, 17, 368, 14, 204, 264, 1179, 204, 264, 456, 13, 17988, 14, 204, 204, 264, 314, 666, 273, 23036, 11443, 336, 41670, 8900, 726, 204, 264, 11238, 68, 2788, 289, 23036, 11443, 336, 41670, 8900, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 8213, 68, 22218, 34, 33414, 19, 21, 17, 716, 268, 9433, 68, 5670, 68, 10997, 68, 3631, 34, 43911, 19, 21, 17, 716, 268, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 34, 36233, 19, 21, 204, 264, 1179, 204, 264, 456, 13, 19320, 68, 2788, 14, 204, 204, 264, 314, 666, 437, 11385, 726, 204, 264, 1995, 289, 11385, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 1995, 68, 22, 1022, 4326, 3338, 1200, 528, 716, 268, 1995, 68, 23, 1022, 38, 386, 14382, 528, 716, 268, 3226, 68, 417, 1022, 6001, 6751, 528, 716, 268, 1259, 68, 417, 1022, 25818, 528, 716, 268, 4337, 68, 1181, 1022, 5758, 22, 7, 204, 264, 1179, 204, 264, 456, 13, 2820, 14, 204, 0, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 532, 8486, 204, 204, 676, 9076, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4806, 1966, 560, 273, 575, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 1966, 275, 4806, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4806, 19, 204, 268, 1068, 322, 325, 330, 334, 1666, 302, 275, 4806, 19, 204, 268, 1966, 68, 672, 322, 2664, 330, 334, 1489, 329, 690, 1330, 275, 4806, 867, 1966, 19, 204, 268, 5846, 68, 672, 322, 2664, 330, 334, 1489, 329, 690, 1330, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4806, 867, 1673, 5846, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 12100, 534, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 1068, 289, 1094, 19, 7320, 374, 204, 264, 1966, 68, 672, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 5846, 68, 672, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1724, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 436, 636, 68, 7760, 68, 7111, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 5549, 302, 275, 4806, 17, 2864, 275, 1724, 329, 273, 23640, 2585, 302, 275, 1068, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 5549, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 314, 39998, 275, 1068, 311, 1607, 2724, 348, 275, 5549, 204, 268, 23640, 68, 492, 289, 370, 19, 492, 2022, 2051, 66, 465, 379, 2152, 12, 397, 1245, 13, 327, 19, 492, 14, 1323, 1607, 902, 370, 19, 492, 204, 268, 407, 283, 1954, 327, 19, 1778, 2829, 463, 30791, 68, 492, 2495, 204, 204, 264, 436, 1395, 68, 7760, 13, 327, 17, 717, 68, 1778, 31, 394, 17, 717, 68, 492, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 1724, 329, 1068, 302, 275, 4806, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 1778, 322, 325, 330, 334, 717, 1724, 302, 275, 4806, 19, 204, 305, 717, 68, 492, 322, 325, 330, 334, 717, 1068, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 370, 19, 1778, 289, 717, 68, 1778, 204, 268, 370, 19, 492, 289, 717, 68, 492, 204, 268, 370, 19, 12171, 68, 672, 289, 8486, 19, 1520, 374, 204, 268, 370, 19, 2360, 374, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 2914, 348, 275, 9076, 570, 19, 204, 268, 320, 204, 268, 2874, 68, 417, 289, 388, 7760, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 12100, 7, 204, 268, 10772, 289, 2470, 5903, 68, 672, 839, 204, 204, 8, 1165, 1265, 31, 204, 461, 838, 68, 7760, 13, 816, 31, 2221, 17, 1724, 31, 394, 17, 1068, 31, 394, 14, 393, 9076, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 4806, 348, 275, 800, 575, 19, 204, 204, 264, 457, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 1120, 3346, 275, 4806, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4806, 19, 204, 268, 1068, 322, 325, 330, 334, 1666, 302, 275, 4806, 19, 204, 204, 264, 475, 31, 204, 268, 9076, 31, 334, 9932, 1966, 4806, 19, 204, 264, 320, 204, 264, 4806, 289, 9076, 13, 816, 34, 816, 17, 1724, 34, 1778, 17, 1068, 34, 492, 14, 204, 264, 4806, 19, 2360, 374, 204, 264, 407, 4806, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 717, 575, 204, 264, 497, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 264, 575, 289, 2221, 19, 2856, 19, 1510, 68, 816, 611, 12514, 491, 379, 12514, 37, 2569, 19, 1453, 491, 379, 1989, 534, 204, 204, 264, 314, 666, 273, 717, 4806, 204, 264, 4806, 289, 838, 68, 7760, 13, 816, 17, 388, 7061, 6867, 9076, 528, 388, 1834, 353, 2745, 1043, 4806, 1280, 204, 204, 264, 314, 1198, 275, 4806, 5549, 204, 264, 456, 13, 7760, 19, 505, 68, 7760, 68, 7111, 1447, 204, 204, 264, 314, 1716, 275, 4806, 204, 264, 4806, 19, 2045, 68, 7760, 499, 7061, 22110, 9076, 528, 388, 1834, 353, 2745, 2908, 4806, 1280, 204, 204, 264, 314, 1198, 275, 2908, 4806, 5549, 204, 264, 456, 13, 7760, 19, 505, 68, 7760, 68, 7111, 1447, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 12507, 12430, 302, 9774, 31, 13770, 17, 12082, 2343, 9134, 204, 204, 673, 2480, 2233, 302, 2652, 353, 3557, 311, 6154, 275, 5372, 302, 273, 1007, 19, 1547, 353, 4310, 448, 275, 2652, 292, 275, 10742, 1554, 322, 94, 18, 4953, 14, 6167, 560, 275, 2652, 292, 275, 6403, 1554, 322, 93, 18, 4953, 789, 204, 204, 1380, 12082, 204, 204, 673, 2089, 348, 2480, 2233, 302, 2652, 353, 31, 204, 204, 11769, 12430, 302, 9774, 289, 322, 15904, 292, 469, 14, 802, 322, 15904, 292, 610, 14, 204, 204, 1834, 618, 1425, 444, 5052, 448, 275, 5372, 2089, 31, 204, 204, 11769, 12430, 302, 9774, 289, 322, 94, 23, 338, 469, 22, 14, 802, 322, 93, 23, 338, 610, 22, 14, 204, 204, 1380, 9134, 204, 204, 3661, 677, 2506, 273, 5879, 1273, 275, 2969, 2689, 3731, 19, 1785, 618, 1020, 275, 2480, 2969, 1048, 275, 3200, 302, 275, 5879, 560, 974, 275, 5372, 2089, 19, 204, 204, 3070, 1763, 17, 27383, 572, 874, 275, 2631, 1728, 31, 204, 204, 15, 35322, 368, 31, 2468, 20090, 204, 15, 35322, 435, 31, 6787, 20090, 204, 15, 35322, 571, 31, 9766, 20090, 204, 15, 35322, 681, 31, 2846, 20090, 204, 15, 35322, 720, 31, 9806, 20090, 204, 204, 2310, 618, 1173, 1605, 1019, 448, 8783, 4125, 31, 322, 22, 17, 2188, 659, 322, 23, 17, 3894, 659, 322, 24, 17, 4656, 659, 322, 25, 17, 2169, 659, 329, 322, 26, 17, 4452, 789, 204, 204, 1449, 1020, 275, 2480, 2233, 302, 2652, 17, 572, 618, 732, 275, 5372, 2089, 31, 204, 204, 15, 18473, 3658, 368, 329, 681, 31, 322, 2169, 338, 2468, 14, 802, 322, 25, 338, 368, 14, 289, 931, 802, 571, 289, 571, 19, 3268, 6172, 841, 4904, 204, 15, 18473, 3658, 368, 329, 435, 31, 322, 3894, 338, 2468, 14, 802, 322, 23, 338, 368, 14, 289, 2846, 6172, 841, 4904, 204, 15, 18473, 3658, 435, 329, 681, 31, 322, 2169, 338, 6787, 14, 802, 322, 25, 338, 435, 14, 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, 338, 2188, 802, 435, 289, 338, 1909, 6172, 841, 4904, 204, 204, 673, 2480, 2233, 302, 2652, 618, 444, 2140, 322, 21113, 14, 521, 2917, 322, 26363, 659, 329, 490, 618, 444, 1376, 311, 8959, 275, 2233, 302, 2652, 302, 1169, 4474, 1048, 690, 19, 0, 10214, 1565, 29, 2903, 3787, 33733, 408, 2112, 33594, 3248, 1456, 12552, 37304, 921, 2112, 29078, 3988, 8325, 3875, 19445, 7005, 2857, 725, 9355, 31861, 19566, 4402, 4500, 460, 27580, 1926, 408, 21164, 3248, 1456, 47122, 13470, 2615, 28341, 26379, 8709, 1951, 1458, 10577, 4500, 12708, 14151, 9228, 23267, 30827, 3235, 568, 2112, 11260, 4905, 21948, 4500, 12708, 14151, 30827, 3235, 4821, 4821, 2564, 38518, 11668, 725, 28341, 26379, 8709, 29078, 3988, 725, 3369, 2006, 5556, 725, 1951, 1458, 10577, 12552, 1227, 4500, 12708, 14151, 19445, 29182, 37823, 1111, 2780, 37304, 408, 2823, 11962, 33604, 1951, 1458, 10577, 2338, 4500, 12708, 14151, 23267, 30827, 3235, 9228, 5661, 1227, 35372, 38450, 568, 12253, 3248, 1456, 13470, 2615, 4500, 12708, 14151, 30827, 3235, 408, 17919, 20587, 1111, 18830, 12749, 408, 2823, 16566, 35840, 28093, 568, 22424, 4500, 12708, 14151, 27309, 26512, 7925, 1689, 725, 17788, 5598, 261, 39757, 725, 4265, 3928, 11295, 1955, 32274, 4517, 408, 35815, 47122, 29734, 1227, 13256, 568, 17919, 8075, 11698, 2112, 29078, 3988, 7005, 19445, 5659, 408, 4500, 12708, 14151, 31809, 10984, 1670, 47433, 17788, 1227, 9784, 2122, 3928, 11295, 460, 9061, 408, 3248, 1456, 2499, 5227, 36534, 3235, 6385, 23267, 30827, 11736, 4525, 13191, 13376, 23671, 3248, 1456, 21829, 9228, 14022, 40337, 6364, 408, 9308, 4500, 12708, 14151, 27309, 26512, 16841, 5928, 5932, 408, 6960, 5928, 6658, 408, 2857, 2148, 10776, 1565, 5928, 2823, 35643, 921, 47783, 8088, 14855, 568, 204, 0, 22, 19, 226, 8333, 921, 10982, 1390, 11398, 10366, 8128, 25020, 408, 35090, 1189, 6689, 408, 37874, 4747, 4404, 831, 1191, 6390, 11273, 5452, 8182, 18565, 2704, 568, 204, 23, 19, 18371, 8128, 25020, 1926, 408, 1254, 43214, 1189, 8255, 10366, 7224, 7789, 408, 8145, 16432, 1189, 7789, 2453, 408, 10011, 11962, 4068, 3058, 43214, 7789, 1926, 2122, 7224, 24637, 408, 2122, 3875, 2564, 408, 17640, 17548, 26330, 408, 8404, 37824, 408, 28407, 14855, 3058, 3684, 3922, 13582, 37874, 41082, 3293, 18354, 408, 6395, 7224, 9516, 2338, 13032, 5659, 8056, 18884, 17554, 408, 5031, 4040, 19765, 3365, 408, 33846, 3369, 5011, 4587, 408, 26330, 2094, 7640, 4044, 41576, 12545, 1955, 568, 204, 24, 19, 226, 5646, 43618, 1603, 8128, 1390, 44949, 39502, 13582, 11273, 725, 6977, 7224, 8182, 3590, 4484, 3656, 7640, 1262, 408, 19260, 8333, 25020, 1390, 408, 1789, 3684, 1789, 1565, 4079, 1789, 15356, 3608, 6977, 19407, 3865, 568, 204, 25, 19, 226, 8333, 13987, 9228, 17548, 26330, 6998, 4095, 6873, 6256, 2807, 6364, 408, 3590, 7640, 6308, 24460, 15347, 35868, 22982, 6873, 4698, 2183, 408, 3608, 23595, 6977, 7566, 1262, 568, 204, 26, 19, 226, 15093, 48854, 3293, 18354, 2831, 408, 21204, 6977, 16759, 7533, 408, 6960, 6977, 45240, 6233, 408, 28752, 1398, 4011, 408, 11808, 14613, 29182, 408, 2823, 12253, 32274, 4517, 408, 10490, 11364, 39947, 408, 8356, 2433, 2411, 38214, 408, 2274, 11516, 2853, 46525, 408, 16814, 6233, 725, 27554, 16153, 568, 204, 3359, 3684, 3445, 6873, 3875, 2564, 725, 43214, 3359, 3684, 3922, 13582, 15093, 11534, 6873, 9516, 408, 19765, 13549, 408, 28407, 14855, 408, 21289, 6873, 3151, 408, 7939, 5612, 26551, 5452, 408, 19600, 13489, 24937, 5110, 2110, 25649, 6977, 38561, 568, 0, 647, 3238, 204, 647, 22349, 204, 647, 4845, 204, 647, 30537, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 204, 268, 12919, 68, 676, 34, 11996, 19, 20525, 12385, 42567, 17, 204, 268, 2342, 34, 492, 15290, 19, 42636, 18585, 204, 305, 37825, 329, 15194, 88, 1860, 974, 1451, 16037, 19, 204, 204, 305, 39601, 4996, 204, 305, 9134, 31, 204, 204, 485, 540, 17761, 437, 537, 510, 15802, 299, 275, 1451, 16037, 1354, 204, 895, 15802, 379, 17732, 1068, 12, 1323, 510, 19, 3039, 204, 895, 5415, 14251, 68, 20480, 19, 948, 338, 78, 510, 19, 3039, 338, 91, 338, 84, 510, 19, 3039, 19, 9063, 204, 204, 485, 540, 19498, 437, 537, 510, 204, 895, 5415, 14251, 68, 20480, 19, 948, 226, 338, 73, 338, 78, 510, 19, 3039, 19, 9063, 338, 84, 510, 68, 22210, 73, 19, 3039, 204, 305, 39601, 4996, 204, 268, 22963, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 78, 491, 6262, 266, 68, 553, 491, 1187, 34, 325, 17, 1945, 34, 1021, 17, 2984, 833, 768, 68, 553, 491, 204, 268, 1340, 1022, 673, 537, 510, 588, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 84, 491, 6262, 607, 68, 553, 491, 1187, 34, 325, 17, 1945, 34, 1021, 17, 2984, 833, 1420, 68, 553, 491, 204, 268, 1340, 1022, 673, 919, 510, 588, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6262, 1989, 491, 1187, 34, 325, 17, 2984, 833, 1989, 491, 204, 268, 1340, 1022, 48980, 974, 808, 4601, 19, 3665, 1120, 444, 35501, 348, 1482, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 73, 491, 6262, 20480, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 20480, 491, 204, 268, 1340, 1022, 5118, 2702, 275, 537, 510, 1025, 275, 919, 510, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 91, 491, 6262, 7952, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 7952, 491, 204, 268, 1340, 1022, 42, 1595, 11255, 1354, 311, 10573, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 82, 491, 6262, 7648, 26, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 598, 68, 7648, 26, 491, 204, 268, 1340, 1022, 11345, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23297, 16573, 26, 12323, 7, 204, 264, 1179, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 636, 68, 816, 68, 1989, 13, 1038, 31, 3238, 19, 5750, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 1482, 497, 275, 575, 521, 275, 1354, 1007, 4601, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1482, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1482, 353, 1917, 448, 437, 4601, 204, 264, 397, 2042, 19, 1989, 31, 204, 268, 314, 1974, 275, 1917, 1482, 204, 268, 407, 2042, 19, 1989, 204, 264, 902, 31, 204, 268, 314, 13485, 275, 575, 348, 1482, 204, 268, 407, 22349, 19, 39177, 499, 2101, 1482, 31, 2810, 204, 204, 461, 838, 68, 28818, 68, 2196, 13, 1038, 31, 3238, 19, 5750, 17, 1482, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 666, 275, 1451, 16037, 1354, 1609, 523, 275, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 268, 1482, 322, 325, 330, 334, 1482, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 1451, 16037, 1354, 19, 204, 264, 320, 204, 264, 314, 4347, 275, 11255, 521, 22455, 1354, 204, 264, 397, 2042, 19, 20480, 31, 204, 268, 314, 4160, 7945, 1354, 204, 268, 9840, 289, 3134, 3664, 16037, 528, 388, 999, 528, 7031, 73, 528, 7031, 34214, 18, 6372, 18, 72, 13141, 528, 7031, 80, 528, 1482, 66, 204, 268, 397, 2042, 19, 598, 68, 7648, 26, 31, 204, 305, 314, 1974, 23297, 16573, 26, 12323, 204, 305, 9840, 19, 1223, 8883, 7648, 431, 204, 305, 9840, 19, 1223, 499, 7648, 26, 431, 204, 268, 902, 31, 204, 305, 314, 1974, 1540, 33009, 80, 1695, 23, 204, 305, 9840, 19, 1223, 8883, 11922, 80, 1695, 23, 431, 204, 268, 314, 1255, 537, 329, 919, 1860, 204, 268, 9840, 19, 6683, 9792, 18, 266, 528, 2042, 19, 768, 68, 553, 17, 7031, 607, 528, 2042, 19, 1420, 68, 553, 694, 204, 264, 902, 31, 204, 268, 314, 37979, 7945, 1354, 204, 268, 9840, 289, 3134, 3664, 16037, 528, 388, 999, 528, 7031, 34214, 18, 6372, 18, 72, 13141, 528, 7031, 11922, 80, 1695, 23, 528, 7031, 21498, 528, 7031, 80, 528, 1482, 17, 7031, 266, 528, 2042, 19, 768, 68, 553, 17, 7031, 607, 528, 2042, 19, 1420, 68, 553, 66, 204, 264, 407, 9840, 204, 204, 461, 1523, 68, 28818, 68, 2196, 13, 7414, 31, 458, 17, 2874, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 1451, 16037, 1354, 329, 456, 275, 919, 397, 2874, 19, 204, 204, 264, 457, 31, 204, 268, 9840, 322, 655, 330, 334, 1451, 16037, 1354, 19, 204, 268, 2874, 322, 2107, 330, 2266, 311, 456, 275, 1354, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1354, 397, 2874, 204, 264, 397, 2874, 31, 204, 268, 456, 499, 42475, 2180, 388, 5161, 1541, 13, 7414, 602, 204, 264, 314, 2466, 275, 1354, 204, 264, 4845, 19, 1777, 13, 7414, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 1007, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 264, 314, 763, 275, 1482, 204, 264, 1482, 289, 636, 68, 816, 68, 1989, 13, 1038, 14, 204, 264, 314, 666, 275, 11255, 1354, 204, 264, 9840, 289, 838, 68, 28818, 68, 2196, 13, 1038, 17, 1482, 14, 204, 264, 314, 2466, 275, 11255, 1354, 204, 264, 1523, 68, 28818, 68, 2196, 13, 7414, 17, 2042, 19, 7952, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 12042, 68, 816, 13, 417, 31, 394, 17, 943, 31, 394, 289, 388, 5975, 431, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15309, 4389, 943, 311, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 575, 311, 12042, 19, 204, 268, 943, 322, 325, 17, 1448, 330, 334, 4389, 943, 19, 1243, 311, 388, 5975, 2948, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 15309, 4389, 943, 204, 264, 4389, 289, 283, 1954, 1454, 1522, 463, 417, 33287, 204, 204, 264, 314, 1198, 275, 4389, 943, 311, 275, 6474, 204, 264, 456, 13, 7291, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 12042, 68, 816, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 588, 204, 264, 575, 68, 417, 289, 537, 499, 5213, 2064, 1214, 588, 31, 2810, 204, 204, 264, 314, 45748, 275, 575, 440, 273, 1540, 943, 204, 264, 12042, 68, 816, 13, 816, 68, 417, 14, 204, 204, 264, 314, 45748, 275, 575, 440, 273, 2363, 943, 204, 264, 12042, 68, 816, 13, 816, 68, 417, 17, 388, 15352, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 949, 68, 31172, 68, 11190, 13, 204, 264, 1419, 68, 12755, 31, 818, 17, 716, 264, 10389, 68, 12193, 31, 421, 17, 716, 264, 8213, 68, 3309, 68, 1949, 31, 818, 204, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 10915, 3205, 523, 437, 1419, 7695, 1048, 273, 1713, 542, 302, 2181, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 12755, 322, 996, 330, 334, 1419, 1690, 302, 7695, 19, 204, 268, 10389, 68, 12193, 322, 339, 330, 334, 542, 302, 2181, 311, 4582, 19, 204, 268, 8213, 68, 3309, 68, 1949, 322, 996, 330, 334, 8213, 407, 2233, 448, 273, 5050, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 2423, 7695, 1877, 275, 1713, 542, 302, 2181, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1169, 537, 700, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2917, 19, 204, 268, 3660, 31, 828, 1169, 537, 1187, 353, 2872, 19, 204, 264, 320, 204, 264, 314, 3866, 537, 1019, 204, 264, 397, 508, 322, 12090, 13, 3474, 68, 12755, 17, 322, 339, 17, 818, 602, 329, 716, 305, 2381, 13, 30980, 68, 12193, 17, 421, 14, 329, 716, 305, 2381, 13, 25476, 68, 3309, 68, 1949, 17, 322, 339, 17, 818, 30278, 204, 268, 980, 3660, 499, 1962, 537, 1187, 431, 204, 204, 264, 397, 1419, 68, 12755, 962, 500, 521, 10389, 68, 12193, 962, 500, 521, 8213, 68, 3309, 68, 1949, 962, 500, 31, 204, 268, 980, 987, 499, 3383, 1019, 2950, 444, 2917, 431, 204, 204, 264, 314, 888, 275, 10915, 3205, 974, 275, 2089, 31, 332, 289, 415, 540, 322, 22, 465, 468, 20, 2051, 2246, 83, 204, 264, 314, 16655, 31, 204, 264, 314, 262, 332, 289, 2423, 7695, 204, 264, 314, 262, 415, 289, 1419, 7695, 204, 264, 314, 262, 468, 289, 8213, 407, 2233, 204, 264, 314, 262, 300, 289, 542, 302, 2181, 204, 264, 2423, 68, 12755, 289, 1419, 68, 12755, 540, 322, 22, 465, 8213, 68, 3309, 68, 1949, 802, 1607, 14, 930, 10389, 68, 12193, 204, 204, 264, 407, 2423, 68, 12755, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1419, 68, 12755, 289, 1607, 204, 264, 10389, 68, 12193, 289, 571, 204, 264, 8213, 68, 3309, 68, 1949, 289, 571, 204, 204, 264, 810, 31, 204, 268, 2423, 68, 12755, 289, 949, 68, 31172, 68, 11190, 13, 3474, 68, 12755, 17, 10389, 68, 12193, 17, 8213, 68, 3309, 68, 1949, 14, 204, 268, 456, 13, 75, 7, 673, 2423, 7695, 1877, 463, 30980, 68, 12193, 98, 2181, 353, 31, 463, 7912, 68, 12755, 4567, 25, 75, 743, 204, 264, 827, 322, 11874, 17, 3660, 14, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 8, 968, 273, 955, 302, 9619, 4514, 22614, 204, 2421, 8447, 1599, 68, 14340, 68, 28414, 4526, 56, 31, 1135, 64, 325, 17, 394, 66, 289, 463, 204, 264, 379, 62, 70, 6031, 78, 39, 597, 379, 40087, 1358, 70, 6031, 78, 491, 204, 264, 379, 62, 70, 6031, 78, 597, 379, 40087, 1358, 70, 6031, 78, 13386, 12, 204, 98, 204, 204, 461, 636, 68, 31632, 68, 6823, 68, 15239, 13, 6823, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4071, 275, 3101, 588, 302, 273, 9619, 4514, 800, 1163, 13674, 19, 204, 204, 264, 457, 31, 204, 268, 4514, 68, 417, 322, 325, 330, 334, 13674, 302, 275, 9619, 4514, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3101, 588, 302, 275, 9619, 4514, 397, 1193, 17, 2130, 275, 2171, 13674, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 4514, 13674, 2560, 292, 275, 955, 204, 264, 407, 12386, 8447, 1599, 68, 14340, 68, 28414, 4526, 56, 19, 505, 13, 6823, 68, 417, 17, 4514, 68, 417, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 505, 68, 31632, 68, 6823, 68, 15239, 611, 62, 70, 6031, 78, 39, 3063, 226, 314, 3215, 31, 21419, 1358, 70, 6031, 78, 204, 264, 456, 13, 505, 68, 31632, 68, 6823, 68, 15239, 611, 11725, 11800, 3063, 226, 314, 3215, 31, 28489, 11800, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 204, 461, 838, 68, 1657, 13, 1695, 31, 1246, 19, 1362, 17, 610, 68, 3071, 31, 394, 17, 469, 68, 3071, 31, 394, 17, 1800, 31, 394, 17, 1848, 31, 394, 17, 1711, 31, 1513, 19, 16571, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 1807, 348, 275, 800, 424, 2023, 329, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 424, 2023, 311, 1807, 19, 204, 268, 610, 68, 3071, 322, 325, 330, 334, 1837, 588, 348, 275, 610, 18, 3399, 19, 204, 268, 469, 68, 3071, 322, 325, 330, 334, 1837, 588, 348, 275, 469, 18, 3399, 19, 204, 268, 1800, 322, 325, 330, 334, 1800, 348, 275, 1807, 19, 204, 268, 1848, 322, 325, 330, 334, 1848, 302, 275, 1807, 19, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 523, 19, 204, 264, 320, 204, 264, 2349, 19, 1657, 13, 93, 34, 93, 68, 3071, 17, 469, 34, 94, 68, 3071, 17, 1711, 34, 1474, 17, 1800, 34, 1676, 17, 1848, 34, 2640, 14, 204, 204, 461, 838, 68, 7208, 13, 2435, 31, 818, 17, 1853, 31, 818, 17, 1824, 31, 818, 17, 5533, 31, 818, 17, 1629, 31, 818, 17, 1913, 31, 818, 14, 393, 1513, 19, 11600, 31, 204, 264, 320, 204, 264, 666, 273, 4368, 440, 275, 800, 5150, 329, 5328, 19, 204, 204, 264, 457, 31, 204, 268, 2198, 322, 996, 330, 334, 2198, 302, 275, 4368, 19, 204, 268, 1853, 322, 996, 330, 334, 1853, 302, 275, 4368, 19, 204, 268, 1824, 322, 996, 330, 334, 1824, 12163, 302, 275, 4368, 19, 204, 268, 5533, 322, 996, 330, 334, 5533, 12163, 302, 275, 4368, 19, 204, 268, 1629, 322, 996, 330, 334, 1629, 12163, 302, 275, 4368, 19, 204, 268, 1913, 322, 996, 330, 334, 1913, 12163, 302, 275, 4368, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 11600, 31, 334, 1966, 4368, 19, 204, 264, 320, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 264, 2836, 19, 11552, 68, 16026, 13, 1735, 34, 1735, 17, 5533, 34, 10568, 17, 1629, 34, 1633, 17, 1913, 34, 2723, 14, 204, 264, 407, 2836, 17, 1711, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 424, 19, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 320, 204, 264, 2349, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 3494, 34, 3170, 14, 204, 264, 2349, 19, 3786, 289, 2470, 24648, 319, 470, 491, 510, 68, 546, 19, 1590, 30157, 22, 1664, 1590, 45591, 3327, 22, 1664, 1590, 25751, 21, 2629, 204, 264, 407, 2349, 204, 204, 461, 1807, 68, 25116, 13, 25116, 68, 417, 31, 394, 17, 510, 68, 3880, 31, 458, 64, 325, 648, 5427, 31, 458, 64, 325, 648, 1769, 31, 458, 64, 325, 648, 716, 13429, 1824, 31, 818, 17, 5533, 31, 818, 17, 1629, 31, 818, 17, 1913, 31, 818, 17, 716, 13429, 2198, 31, 818, 17, 1853, 31, 818, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 273, 9924, 19, 204, 204, 264, 457, 31, 204, 268, 9924, 68, 417, 322, 325, 330, 334, 588, 302, 275, 9924, 19, 204, 268, 510, 68, 3880, 322, 655, 64, 325, 1037, 334, 3630, 311, 275, 2306, 1860, 19, 204, 268, 5427, 322, 655, 64, 325, 1037, 334, 5427, 302, 275, 11830, 19, 204, 268, 1769, 322, 655, 64, 325, 1037, 334, 1769, 302, 275, 11830, 19, 204, 268, 1824, 322, 996, 330, 334, 1824, 12163, 302, 275, 4368, 19, 204, 268, 5533, 322, 996, 330, 334, 5533, 12163, 302, 275, 4368, 19, 204, 268, 1629, 322, 996, 330, 334, 1629, 12163, 302, 275, 4368, 19, 204, 268, 1913, 322, 996, 330, 334, 1913, 12163, 302, 275, 4368, 19, 204, 268, 2198, 322, 996, 330, 334, 2198, 302, 275, 4368, 19, 204, 268, 1853, 322, 996, 330, 334, 1853, 302, 275, 4368, 19, 204, 268, 919, 68, 553, 322, 325, 330, 334, 919, 510, 832, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 204, 264, 14762, 289, 551, 986, 68, 481, 13, 553, 68, 546, 14, 348, 510, 68, 546, 292, 510, 68, 3880, 66, 204, 204, 264, 314, 666, 4368, 204, 264, 2836, 17, 1711, 289, 838, 68, 7208, 13, 2435, 17, 1853, 17, 1824, 17, 5533, 17, 1629, 17, 1913, 14, 204, 204, 264, 314, 666, 11830, 204, 264, 348, 2349, 17, 1848, 17, 1800, 292, 4337, 13, 14739, 17, 5427, 17, 1769, 330, 204, 268, 838, 68, 1657, 13, 1695, 17, 379, 24648, 319, 470, 491, 2349, 19, 3786, 64, 22, 648, 1800, 17, 1848, 17, 1711, 14, 204, 204, 264, 314, 1359, 1769, 329, 12092, 204, 264, 1711, 19, 574, 68, 7246, 13, 87, 12, 4292, 14381, 21842, 1800, 7220, 34, 21, 14, 204, 264, 1711, 19, 574, 68, 7127, 13, 87, 12, 4292, 761, 45763, 91, 514, 267, 530, 21842, 1800, 7220, 34, 23, 14, 204, 264, 1513, 19, 9042, 13, 14577, 68, 633, 68, 19492, 3644, 21, 19, 22, 17, 500, 19, 5559, 17, 500, 19, 25, 17, 500, 19, 1719, 23, 659, 1488, 34, 24, 17, 300, 982, 34, 23, 17, 2291, 1022, 11185, 528, 8906, 13352, 7220, 34, 21, 2458, 2023, 271, 34, 1975, 14, 204, 204, 264, 314, 3025, 4368, 204, 264, 2836, 19, 574, 68, 835, 68, 22520, 13, 2435, 17, 1853, 14, 204, 264, 2836, 19, 12273, 13, 1420, 68, 553, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1359, 1807, 6060, 204, 264, 1513, 19, 3555, 611, 6823, 491, 930, 29225, 13212, 597, 379, 88, 640, 18, 590, 403, 491, 379, 88, 640, 18, 590, 403, 597, 2470, 25620, 37639, 204, 264, 1513, 19, 3555, 611, 492, 491, 732, 3147, 34, 1975, 14, 204, 264, 1513, 19, 3555, 611, 38718, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 94, 5355, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 13352, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 9042, 491, 15398, 34, 29, 14, 204, 204, 264, 314, 968, 1807, 5150, 204, 264, 2198, 289, 571, 19, 4553, 28, 204, 264, 20248, 68, 3037, 289, 322, 1123, 19, 2514, 13, 26, 14, 338, 368, 19, 21, 14, 802, 435, 19, 21, 226, 314, 39521, 3726, 204, 264, 1853, 289, 2198, 540, 20248, 68, 3037, 204, 204, 264, 314, 38793, 368, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 30709, 22, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 82, 55, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 87, 21, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 1511, 1511, 1511, 491, 10416, 5783, 5783, 5783, 491, 10416, 27, 3701, 48951, 491, 10416, 5007, 5007, 5007, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 22, 21842, 468, 24152, 82, 68, 55, 21842, 468, 24152, 87, 68, 21, 21842, 468, 12, 4292, 7311, 68, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 368, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 2353, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 22, 19, 7129, 534, 204, 204, 264, 314, 38793, 435, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 30709, 23, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 30709, 24, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 1511, 1511, 1511, 491, 10416, 5007, 5007, 5007, 491, 10416, 27, 3701, 48951, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 23, 21842, 468, 12, 4292, 30709, 68, 24, 21842, 468, 12, 4292, 7311, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 435, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 27986, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 23, 19, 7129, 534, 204, 204, 264, 314, 38793, 571, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 72, 68, 15238, 22, 68, 2394, 68, 30709, 23, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 72, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 27, 3701, 48951, 491, 10416, 5007, 5007, 5007, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 23, 21842, 468, 12, 4292, 7311, 68, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 571, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 2300, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 24, 19, 7129, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1875, 204, 647, 1127, 204, 204, 461, 1137, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 2084, 424, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 3271, 2084, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 407, 1875, 19, 986, 13, 553, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 1967, 68, 20774, 68, 1270, 13, 1775, 68, 481, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1986, 10883, 1483, 497, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 1875, 68, 481, 322, 873, 330, 334, 2084, 424, 1174, 10883, 1483, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 4989, 10883, 1483, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1945, 3583, 1337, 292, 275, 2084, 424, 204, 264, 397, 388, 272, 625, 93, 989, 7, 292, 1875, 68, 481, 329, 388, 13242, 1721, 53, 10056, 7, 292, 1875, 68, 481, 1166, 272, 625, 93, 989, 1339, 329, 388, 20774, 5655, 7, 292, 1875, 68, 481, 1166, 272, 625, 93, 989, 7721, 13242, 1721, 53, 10056, 8682, 204, 268, 10883, 68, 1270, 289, 1875, 68, 481, 1166, 272, 625, 93, 989, 7721, 13242, 1721, 53, 10056, 7721, 20774, 5655, 1339, 204, 268, 407, 463, 204, 305, 388, 20774, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 4729, 3186, 204, 305, 388, 2463, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 528, 14826, 505, 499, 10963, 68, 2463, 528, 14826, 505, 499, 359, 3186, 204, 305, 388, 1778, 559, 10883, 68, 1270, 19, 505, 499, 20774, 528, 14826, 505, 499, 85, 24, 68, 7111, 68, 1778, 3186, 204, 305, 314, 3168, 1967, 904, 10883, 3986, 204, 268, 1211, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 2084, 424, 31, 4520, 1945, 3583, 431, 204, 268, 407, 2087, 204, 204, 461, 1137, 68, 9408, 68, 481, 13, 2463, 68, 359, 31, 394, 17, 35708, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 5197, 424, 348, 273, 2442, 19, 204, 204, 264, 457, 31, 204, 268, 2442, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 2442, 19, 204, 268, 35708, 322, 325, 330, 334, 35708, 4634, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 3271, 5197, 424, 19, 204, 264, 320, 204, 264, 5197, 68, 553, 68, 546, 289, 283, 7, 18747, 68, 2387, 4235, 43727, 98, 367, 1538, 68, 9408, 367, 272, 12737, 4235, 2463, 68, 359, 98, 367, 1775, 68, 14793, 19, 3039, 7, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 9408, 68, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 5197, 68, 481, 289, 1875, 19, 986, 13, 553, 14, 204, 305, 407, 551, 32473, 1166, 87, 68, 3039, 6925, 3834, 3273, 87, 65, 83, 528, 21722, 3834, 3273, 83, 528, 11070, 348, 35513, 292, 5197, 68, 481, 19, 505, 499, 14793, 528, 10336, 66, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 9408, 68, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 9408, 68, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 204, 461, 838, 68, 7912, 68, 1775, 13, 20774, 68, 1270, 31, 1135, 17, 5197, 68, 481, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 666, 275, 2423, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 10883, 68, 1270, 322, 873, 330, 334, 4989, 10883, 1483, 19, 204, 268, 5197, 68, 481, 322, 655, 330, 334, 3271, 5197, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 2423, 2084, 424, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 388, 14793, 559, 5197, 68, 481, 17, 204, 268, 388, 2463, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 2463, 68, 359, 3186, 204, 268, 388, 20774, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 68, 359, 3186, 204, 268, 388, 1778, 559, 10883, 68, 1270, 19, 505, 499, 1778, 3186, 204, 268, 314, 3168, 881, 904, 10883, 3986, 204, 264, 1211, 204, 204, 461, 1352, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4697, 68, 553, 13, 4697, 68, 553, 68, 546, 31, 394, 17, 35708, 31, 394, 17, 919, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 4308, 510, 329, 1900, 275, 2423, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 4308, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4308, 510, 19, 204, 268, 35708, 322, 325, 330, 334, 35708, 4634, 19, 204, 268, 919, 68, 546, 322, 325, 330, 334, 919, 832, 348, 275, 2423, 2084, 424, 19, 204, 264, 320, 204, 264, 1875, 68, 481, 289, 1137, 68, 1775, 68, 553, 13, 4697, 68, 553, 68, 546, 14, 204, 264, 10883, 68, 1270, 289, 1967, 68, 20774, 68, 1270, 13, 1775, 68, 481, 14, 204, 264, 5197, 68, 481, 289, 1137, 68, 9408, 68, 481, 13, 20774, 68, 1270, 19, 505, 499, 2463, 68, 359, 3186, 35708, 14, 204, 264, 2423, 68, 1775, 289, 838, 68, 7912, 68, 1775, 13, 20774, 68, 1270, 17, 5197, 68, 481, 14, 204, 264, 919, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 546, 17, 35708, 17, 283, 1954, 20774, 68, 1270, 19, 505, 611, 20774, 68, 359, 30188, 367, 481, 19, 1775, 431, 204, 264, 1127, 19, 8240, 13, 865, 19, 546, 19, 7094, 13, 1420, 68, 553, 68, 546, 659, 1337, 68, 779, 34, 1021, 14, 204, 264, 440, 1451, 13, 1420, 68, 553, 68, 546, 17, 388, 92, 431, 448, 510, 31, 204, 268, 1875, 19, 4573, 13, 7912, 68, 1775, 17, 510, 14, 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, 832, 68, 10183, 289, 14652, 40, 1292, 1153, 68, 10183, 11291, 204, 264, 832, 68, 14793, 289, 14652, 18747, 68, 2387, 11291, 204, 264, 832, 68, 7912, 289, 14652, 22226, 68, 481, 68, 2375, 11291, 204, 264, 4245, 11555, 289, 2470, 43727, 18, 85, 2177, 47848, 379, 43727, 18, 85, 3268, 47848, 379, 43727, 18, 85, 5091, 68, 839, 204, 264, 1418, 289, 435, 204, 264, 33132, 68, 1608, 289, 1137, 68, 1775, 68, 553, 499, 6992, 68, 32616, 1291, 19, 3039, 431, 204, 204, 264, 348, 35708, 292, 551, 3350, 11555, 64, 541, 2440, 204, 268, 4308, 68, 1217, 289, 1127, 19, 546, 19, 1541, 13, 546, 68, 10183, 17, 35708, 14, 204, 268, 397, 1127, 19, 546, 19, 4332, 13, 4697, 68, 1217, 330, 204, 305, 348, 4308, 68, 553, 292, 1127, 19, 8970, 13, 4697, 68, 1217, 330, 204, 485, 397, 4308, 68, 553, 19, 9641, 11837, 3039, 6471, 204, 895, 4308, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 4697, 68, 1217, 17, 4308, 68, 553, 14, 204, 895, 1352, 68, 4697, 68, 553, 13, 4697, 68, 553, 68, 546, 17, 35708, 17, 832, 68, 7912, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 55, 4878, 281, 8080, 302, 22511, 322, 55, 14514, 14, 5181, 1529, 26982, 338, 20523, 47408, 777, 204, 204, 673, 17178, 1352, 32759, 302, 3420, 14113, 31, 204, 204, 22, 19, 930, 33810, 1295, 1416, 716, 262, 338, 12898, 13652, 27892, 2129, 31, 6194, 329, 3682, 17, 15608, 1408, 17, 28639, 329, 11205, 17, 14785, 17, 11833, 329, 3682, 17, 2232, 30999, 329, 37628, 657, 17, 12447, 204, 262, 338, 37071, 27892, 2129, 204, 262, 338, 27673, 20, 11158, 1982, 7103, 204, 262, 338, 346, 33705, 31, 204, 263, 540, 480, 33040, 23669, 11336, 204, 263, 540, 1752, 275, 1646, 542, 496, 618, 444, 2927, 440, 1144, 7686, 18684, 302, 275, 3258, 302, 273, 800, 542, 204, 204, 23, 19, 930, 48139, 1295, 1416, 204, 262, 338, 1198, 4069, 329, 2219, 886, 9037, 447, 974, 970, 9429, 204, 262, 338, 40294, 7035, 31, 9264, 437, 1348, 329, 273, 1066, 4362, 80, 17848, 456, 3597, 397, 1422, 353, 273, 7370, 292, 275, 1348, 496, 8598, 719, 311, 275, 800, 1066, 17, 724, 204, 204, 262, 930, 5063, 4626, 204, 262, 4429, 31, 6665, 289, 463, 24, 17, 887, 17, 681, 17, 720, 17, 368, 17, 1132, 17, 1233, 1522, 724, 289, 1598, 204, 262, 3215, 31, 3597, 204, 262, 23967, 31, 334, 12827, 463, 24, 17, 1233, 1522, 463, 24, 17, 681, 17, 720, 1522, 463, 25, 17, 1132, 98, 881, 719, 311, 275, 800, 1066, 17, 724, 34, 1258, 204, 204, 24, 19, 930, 43659, 787, 5181, 1529, 1416, 204, 262, 338, 10721, 329, 11414, 302, 1576, 497, 275, 5052, 683, 204, 262, 338, 346, 33705, 1844, 31, 9264, 273, 782, 17, 13776, 2589, 2219, 9499, 302, 6072, 3113, 292, 275, 782, 204, 204, 262, 930, 5063, 4626, 204, 262, 4429, 31, 808, 23338, 1031, 204, 262, 3215, 31, 808, 402, 3548, 204, 262, 23967, 31, 3182, 275, 2219, 9991, 302, 6072, 322, 4397, 17, 12044, 17, 27010, 17, 6623, 6268, 204, 204, 25, 19, 930, 24928, 5181, 1529, 1416, 204, 262, 338, 10721, 204, 262, 338, 11449, 5710, 361, 14514, 36, 204, 262, 338, 2935, 618, 872, 770, 348, 361, 14514, 36, 0, 8, 21118, 322, 72, 14, 10651, 1346, 812, 24761, 1257, 43442, 23837, 17, 471, 1796, 70, 17790, 335, 4732, 204, 204, 531, 1498, 532, 5006, 17, 1884, 204, 647, 5683, 204, 204, 461, 881, 68, 47231, 68, 633, 68, 546, 13, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 5276, 273, 31383, 311, 275, 1136, 302, 273, 832, 397, 490, 5409, 2964, 2861, 1337, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 537, 832, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 832, 440, 273, 31383, 4327, 311, 275, 1136, 397, 3600, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 832, 353, 508, 1392, 329, 1583, 508, 2861, 1136, 440, 273, 31383, 204, 264, 397, 832, 329, 508, 832, 19, 9641, 4195, 4448, 204, 268, 314, 1255, 273, 31383, 311, 275, 1136, 302, 275, 832, 204, 268, 407, 832, 465, 22405, 204, 264, 407, 832, 204, 204, 461, 3142, 68, 47231, 68, 531, 68, 546, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1662, 3171, 302, 275, 3859, 677, 2755, 8497, 13887, 872, 1120, 7137, 19, 204, 6895, 37597, 302, 2075, 10692, 872, 5710, 311, 19860, 17, 521, 275, 2264, 302, 496, 10692, 17, 1214, 471, 17247, 1120, 444, 9002, 275, 1729, 4710, 2501, 19, 7609, 2459, 440, 275, 1729, 8497, 1483, 17, 1101, 30125, 273, 5955, 12347, 329, 273, 5698, 10692, 17, 1784, 3848, 874, 275, 1729, 471, 17247, 16527, 302, 275, 2264, 348, 3859, 19, 3355, 17, 1422, 529, 20252, 3857, 10625, 523, 3855, 872, 529, 273, 10742, 521, 6403, 2384, 19, 1346, 6403, 2384, 677, 471, 17247, 1236, 6397, 5178, 1025, 1747, 1704, 6757, 8497, 7582, 1330, 15628, 275, 471, 17247, 19, 1058, 618, 11200, 1910, 2459, 6738, 6757, 7582, 5814, 1475, 292, 44512, 348, 13887, 19, 1346, 2384, 353, 6028, 6403, 397, 1048, 275, 2523, 302, 5773, 32, 25642, 292, 273, 2548, 17766, 299, 273, 5746, 5092, 1194, 273, 565, 31155, 677, 5746, 32, 17470, 521, 5289, 1101, 508, 1381, 276, 4618, 32, 869, 6757, 1415, 529, 1236, 6397, 13890, 32, 16413, 4884, 16088, 292, 275, 24551, 6171, 32, 521, 869, 2979, 698, 19, 1765, 5395, 1483, 523, 1415, 353, 6028, 273, 10742, 17, 2013, 275, 17638, 4446, 5084, 19, 204, 9501, 302, 275, 8373, 204, 8395, 13898, 1714, 353, 9002, 17, 275, 471, 17247, 4183, 5178, 292, 275, 2755, 7582, 302, 275, 24472, 17, 521, 292, 275, 1322, 302, 273, 10742, 2384, 275, 24472, 329, 1704, 6757, 19, 2416, 3822, 2755, 7582, 17, 275, 20129, 529, 26021, 497, 275, 1113, 7582, 19, 29148, 6651, 529, 22492, 521, 904, 6651, 302, 7582, 497, 24196, 19, 12022, 3604, 2255, 1169, 18893, 10872, 17, 1702, 448, 10684, 329, 1259, 18893, 19, 1346, 4916, 5165, 1741, 444, 6999, 348, 3153, 496, 874, 2979, 698, 630, 2941, 17, 521, 874, 4916, 2979, 698, 496, 529, 292, 10692, 19, 1058, 5165, 618, 10140, 10625, 523, 4316, 1302, 17, 1101, 5971, 933, 497, 686, 1909, 17, 1207, 311, 686, 2177, 17, 1207, 19, 1058, 542, 353, 1425, 26021, 497, 275, 7582, 311, 3822, 275, 2423, 2755, 7582, 542, 19, 204, 3719, 1214, 2423, 7582, 542, 353, 5084, 686, 1719, 17, 1207, 17, 2755, 13481, 529, 508, 1376, 292, 8397, 1214, 471, 17247, 19, 3355, 17, 397, 1214, 2423, 7582, 12034, 4166, 808, 2434, 17, 2755, 13481, 1120, 1425, 444, 6999, 292, 275, 471, 17247, 19, 11815, 2090, 7582, 17, 13481, 1425, 874, 20129, 348, 10436, 3250, 329, 9144, 10436, 40147, 496, 3124, 275, 1113, 9144, 542, 19, 35331, 523, 48268, 1714, 329, 2523, 17, 275, 13713, 4316, 1741, 3020, 437, 9144, 10436, 40147, 302, 630, 3406, 686, 2985, 17, 1207, 19, 12627, 19914, 2847, 302, 275, 2755, 13481, 353, 6028, 2755, 348, 275, 4316, 311, 14863, 311, 5798, 15980, 322, 28, 2847, 348, 6403, 2459, 440, 2804, 14, 329, 353, 4327, 311, 275, 471, 17247, 1435, 4183, 19, 204, 17550, 830, 302, 1605, 542, 874, 1742, 3392, 1250, 529, 4481, 1025, 273, 6542, 1581, 19, 334, 2755, 7582, 353, 4327, 311, 275, 1598, 2847, 302, 2755, 13481, 311, 636, 275, 14201, 2755, 7582, 322, 7690, 46, 789, 334, 332, 12710, 353, 11983, 560, 5436, 311, 12995, 2847, 10625, 523, 275, 2384, 677, 1714, 17, 329, 1675, 4327, 311, 273, 678, 37836, 4916, 12130, 311, 636, 275, 471, 17247, 19, 828, 275, 2384, 17, 521, 6757, 302, 275, 2384, 17, 874, 2804, 17, 275, 471, 17247, 353, 6167, 560, 275, 1690, 302, 2804, 311, 636, 275, 2423, 471, 17247, 19, 204, 17550, 275, 2423, 471, 17247, 869, 1742, 9002, 17, 275, 542, 353, 4481, 1025, 437, 471, 17247, 1435, 19, 334, 471, 17247, 1435, 14589, 275, 3859, 1662, 3171, 8497, 13887, 273, 2384, 1856, 444, 25370, 19, 1058, 1583, 508, 1869, 496, 275, 10692, 353, 19175, 756, 311, 5190, 872, 496, 4710, 1690, 19, 334, 3859, 8497, 13887, 19747, 4230, 5710, 311, 5190, 1182, 521, 2202, 8497, 13887, 19, 1058, 1690, 353, 10742, 523, 1662, 3171, 13887, 353, 2755, 348, 275, 3859, 311, 732, 17, 448, 2590, 448, 904, 3857, 448, 11121, 349, 15360, 2493, 329, 35834, 19, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 532, 8486, 204, 204, 676, 21166, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4978, 1722, 440, 1724, 17, 2799, 17, 1666, 17, 329, 904, 3688, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4978, 1722, 19, 204, 268, 2799, 322, 325, 330, 334, 2799, 302, 275, 4978, 1722, 19, 204, 268, 3618, 322, 325, 330, 334, 3618, 3610, 440, 275, 4978, 1722, 19, 204, 268, 37451, 322, 655, 330, 332, 458, 302, 37451, 348, 275, 4978, 1722, 19, 204, 268, 4578, 322, 655, 330, 332, 458, 302, 4578, 348, 275, 4978, 1722, 19, 204, 268, 10103, 68, 672, 322, 672, 330, 334, 1489, 275, 4978, 1722, 867, 6193, 19, 204, 268, 16206, 322, 12043, 330, 334, 16206, 752, 348, 275, 4978, 1722, 19, 204, 264, 320, 204, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 14, 204, 264, 2799, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 1540, 15768, 204, 264, 3618, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1719, 17, 1540, 1022, 13142, 431, 204, 264, 314, 4496, 273, 7490, 570, 348, 37451, 329, 4578, 311, 2512, 348, 8175, 4998, 302, 11056, 204, 264, 37451, 289, 1094, 19, 13243, 611, 16468, 299, 491, 3232, 68, 417, 833, 9130, 68, 8754, 534, 204, 264, 10103, 68, 672, 289, 1094, 19, 12860, 13, 2305, 34, 11674, 19, 1520, 14, 204, 264, 16206, 289, 1094, 19, 12043, 13, 7488, 68, 633, 1022, 9130, 20, 2936, 528, 1540, 15768, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 1778, 204, 204, 676, 2474, 11890, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 16907, 348, 273, 4978, 1722, 19, 204, 204, 264, 1532, 31, 204, 268, 1068, 322, 325, 330, 334, 1068, 302, 275, 16907, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 3610, 440, 275, 16907, 19, 204, 264, 320, 204, 204, 264, 1068, 289, 1094, 19, 2580, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1129, 68, 1205, 34, 1719, 14, 204, 264, 1666, 289, 1094, 19, 7320, 13, 2305, 15768, 204, 264, 1552, 289, 1094, 19, 6368, 13, 2305, 34, 21, 14, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 407, 370, 19, 492, 204, 204, 264, 850, 5694, 31, 204, 268, 10772, 289, 2470, 1115, 839, 204, 0, 3728, 770, 3817, 30432, 770, 36, 204, 46, 285, 30432, 678, 18, 44390, 6028, 48325, 19, 3433, 3697, 18, 19099, 6793, 8993, 560, 15551, 40136, 311, 15216, 17, 21107, 17, 678, 18, 17000, 756, 4738, 19, 204, 7495, 286, 787, 3817, 30432, 1308, 12063, 275, 1901, 15216, 1763, 292, 2077, 17519, 2688, 19, 13472, 302, 39841, 1693, 4361, 2318, 1291, 448, 275, 3700, 17, 1910, 18, 19928, 21939, 1250, 6327, 529, 17, 572, 3667, 30215, 348, 13374, 5008, 2077, 13016, 311, 808, 521, 496, 42156, 19, 592, 275, 1352, 572, 29860, 1451, 18, 30823, 19311, 2518, 490, 13372, 19, 1785, 9935, 18514, 448, 41327, 17, 42127, 17, 5634, 2060, 17, 521, 292, 3693, 698, 17, 329, 1574, 18514, 719, 448, 5131, 302, 437, 3817, 48734, 1609, 2317, 329, 8405, 2979, 8280, 2090, 18, 30823, 2317, 1627, 302, 1093, 18316, 88, 19, 592, 1910, 2910, 17, 15189, 292, 1702, 273, 1627, 6926, 5792, 451, 497, 1065, 453, 2772, 440, 275, 4811, 329, 35790, 17, 903, 5792, 329, 1006, 5792, 17, 302, 9037, 7546, 4738, 19, 13472, 17, 572, 2249, 275, 3817, 9046, 13837, 84, 302, 275, 1627, 770, 275, 1225, 560, 29848, 299, 329, 940, 10309, 4193, 9253, 19, 204, 2920, 770, 3817, 30432, 741, 36, 204, 46, 285, 30432, 17046, 1683, 275, 24685, 17, 292, 3624, 24411, 348, 275, 1901, 1085, 19, 1785, 5971, 4006, 884, 89, 10065, 1330, 1250, 19259, 451, 311, 2130, 16342, 2318, 1291, 17, 1330, 1250, 5695, 521, 2219, 7072, 1475, 685, 302, 12278, 19, 15577, 770, 572, 11506, 1662, 1250, 283, 14229, 26075, 447, 19033, 963, 21939, 10996, 273, 2875, 17, 794, 836, 18428, 336, 322, 416, 15858, 11352, 14, 1622, 9319, 3582, 204, 3719, 572, 884, 272, 18506, 311, 38772, 273, 800, 7546, 42156, 17, 348, 1763, 17, 572, 1741, 508, 444, 9136, 496, 2077, 32673, 1930, 1898, 37793, 2013, 302, 275, 2688, 5409, 884, 89, 3074, 9843, 329, 899, 18521, 1747, 302, 4109, 10054, 302, 2077, 8295, 19, 1785, 1741, 508, 27879, 275, 3101, 5800, 302, 273, 13037, 21964, 523, 2637, 6160, 9873, 17, 521, 302, 273, 21176, 13434, 523, 510, 18, 43118, 521, 15286, 884, 7705, 19, 12338, 3817, 30432, 770, 1017, 1225, 292, 275, 5665, 2317, 448, 794, 20411, 2222, 14376, 348, 14473, 2317, 572, 5971, 4006, 884, 89, 10065, 521, 9244, 1017, 678, 18, 44390, 545, 2347, 19, 7054, 884, 88, 1085, 302, 275, 1470, 17, 302, 3200, 19, 13128, 36999, 311, 437, 42156, 17, 572, 45671, 794, 19847, 32, 1422, 884, 88, 2842, 1236, 2318, 42192, 311, 27792, 2077, 12117, 94, 2023, 302, 4398, 329, 1012, 830, 1048, 2528, 19, 204, 673, 2347, 302, 48038, 42156, 204, 2204, 830, 3817, 30432, 529, 7546, 17, 302, 3200, 19, 1765, 1763, 17, 1662, 3667, 770, 572, 3506, 311, 378, 3143, 2842, 2075, 572, 884, 272, 8205, 1330, 572, 8511, 275, 2238, 329, 3638, 275, 6214, 302, 273, 2016, 36, 13472, 17, 572, 13434, 3483, 7943, 275, 678, 4169, 266, 2890, 329, 636, 1873, 311, 4488, 2317, 830, 2900, 11109, 3171, 397, 1169, 6183, 311, 22890, 2075, 572, 884, 272, 8205, 19, 4253, 348, 4303, 17, 17519, 5356, 808, 353, 1662, 490, 869, 311, 444, 32, 496, 884, 88, 275, 1540, 11523, 17, 1877, 830, 19, 11917, 2404, 572, 22545, 311, 275, 42156, 302, 275, 1068, 17, 1698, 2404, 572, 874, 17228, 311, 4481, 25957, 30905, 9478, 14453, 329, 43446, 311, 275, 25997, 5035, 17, 618, 572, 732, 808, 265, 38, 2486, 70, 9417, 5078, 6235, 329, 36673, 19, 204, 837, 904, 2159, 17, 4488, 18814, 40740, 28840, 4249, 302, 5632, 19, 1547, 884, 88, 22890, 2404, 572, 4006, 884, 89, 21606, 1048, 1662, 10370, 1225, 17, 2075, 1250, 770, 17, 329, 1901, 30708, 2075, 1250, 7072, 685, 302, 12278, 496, 572, 884, 272, 5096, 311, 732, 1475, 754, 2590, 19, 13923, 1169, 12168, 17, 275, 2016, 329, 1472, 4426, 496, 572, 15978, 2547, 8809, 904, 2318, 1291, 292, 6972, 302, 275, 13029, 1250, 5500, 329, 1173, 19, 204, 21910, 2075, 353, 273, 1068, 17, 36262, 36, 204, 5842, 958, 311, 808, 38796, 2717, 353, 311, 19200, 275, 3511, 302, 275, 1142, 19, 334, 14531, 5589, 41510, 356, 21311, 2077, 3269, 497, 13448, 9464, 41510, 356, 17, 928, 292, 3638, 47832, 497, 13533, 1068, 354, 322, 41697, 17, 4147, 789, 4682, 1068, 354, 10907, 311, 275, 5378, 5296, 280, 302, 275, 14060, 41510, 1239, 322, 633, 572, 629, 659, 273, 1068, 353, 226, 3159, 703, 28045, 1622, 36235, 496, 869, 1742, 306, 32905, 3582, 334, 5658, 4316, 2192, 1425, 6019, 273, 44416, 292, 10033, 12509, 322, 30071, 22213, 17, 16922, 5226, 640, 2368, 659, 440, 273, 2323, 3898, 84, 18, 38525, 12892, 3619, 540, 356, 27870, 17, 273, 1610, 37537, 5268, 1622, 775, 629, 17, 2270, 17, 5157, 3582, 204, 1834, 1610, 7211, 302, 5805, 306, 32905, 23207, 4153, 17973, 17, 4751, 1475, 275, 13735, 378, 21234, 302, 273, 1068, 448, 273, 11339, 7936, 19, 1547, 884, 88, 508, 292, 18, 1616, 17, 7962, 6067, 17, 521, 1683, 9511, 32, 490, 884, 88, 275, 7824, 1313, 1351, 302, 16922, 5226, 640, 2368, 19, 592, 808, 4130, 1702, 273, 1351, 38699, 329, 13157, 275, 29259, 5570, 30214, 302, 726, 329, 406, 13450, 17, 970, 265, 38, 2486, 70, 11362, 496, 1340, 311, 15582, 719, 275, 42156, 302, 275, 1068, 19, 334, 1249, 302, 27250, 1702, 273, 7936, 2317, 2219, 275, 1540, 10619, 47816, 496, 1702, 437, 6733, 18, 8806, 2549, 444, 11352, 3217, 990, 2408, 18323, 14827, 1001, 1465, 2077, 678, 18, 44390, 545, 329, 794, 20411, 2222, 21219, 311, 275, 2016, 329, 1472, 19, 204, 2310, 3333, 329, 794, 775, 3333, 204, 47117, 274, 273, 12178, 572, 3333, 2002, 20682, 292, 21354, 270, 884, 88, 48572, 15436, 31, 275, 23979, 36417, 691, 295, 728, 348, 48572, 45454, 884, 9217, 9690, 864, 301, 19, 1547, 867, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 572, 9735, 17, 48572, 45454, 884, 14310, 415, 3642, 4148, 1415, 1376, 808, 6202, 18, 3439, 1352, 311, 5148, 2830, 8415, 1288, 630, 26230, 19, 1765, 16504, 2181, 2268, 306, 2105, 560, 2344, 329, 1675, 794, 900, 358, 560, 8546, 17, 35034, 447, 6394, 299, 13967, 302, 275, 1781, 2268, 25172, 448, 273, 13765, 35537, 311, 4461, 1169, 21219, 311, 273, 717, 19435, 19, 415, 3642, 4148, 884, 88, 2002, 867, 292, 2620, 7784, 508, 311, 5288, 13967, 1101, 311, 2709, 1683, 9511, 28484, 19, 204, 42125, 415, 3642, 4148, 884, 88, 691, 295, 728, 18, 492, 17, 275, 10370, 572, 1895, 329, 7310, 618, 884, 89, 444, 754, 8235, 794, 17309, 32, 5602, 306, 32905, 17, 1250, 618, 884, 89, 25308, 444, 794, 900, 2553, 19, 4596, 1017, 3060, 6797, 2077, 265, 38, 2486, 70, 7807, 8812, 311, 26484, 292, 1017, 2220, 17, 8985, 6572, 17, 22968, 2535, 311, 15936, 3119, 3161, 17905, 521, 9095, 353, 34446, 19, 334, 4835, 917, 302, 4141, 273, 1068, 2317, 302, 572, 3333, 496, 10689, 1351, 2317, 353, 311, 13776, 275, 15532, 302, 2652, 17, 311, 4494, 3529, 523, 1352, 17, 311, 5068, 5395, 33227, 17, 329, 292, 3697, 311, 10390, 2077, 8660, 17, 19615, 17, 329, 6121, 292, 273, 10689, 16649, 10926, 25037, 311, 794, 775, 3333, 19, 16585, 353, 275, 6797, 302, 2077, 18389, 18, 416, 18, 44476, 290, 1068, 17, 329, 1702, 353, 1163, 3817, 48734, 6300, 6572, 19, 204, 4366, 17, 6216, 17, 2075, 529, 10370, 36, 204, 3837, 884, 88, 2590, 311, 9356, 17, 7239, 17, 496, 275, 2323, 16971, 1622, 492, 1001, 869, 1855, 17284, 329, 18221, 4840, 19, 1785, 618, 6293, 41608, 322, 403, 19542, 10003, 447, 14, 302, 273, 17284, 17, 1048, 1049, 299, 47215, 3773, 3217, 990, 492, 1001, 448, 273, 4303, 2851, 17, 1101, 13029, 17792, 451, 440, 1182, 1194, 1051, 1187, 302, 572, 3333, 19, 1346, 35452, 311, 275, 4193, 2688, 1741, 1340, 8335, 1855, 2902, 302, 275, 19012, 2317, 1855, 1163, 16434, 329, 1163, 23554, 19, 204, 13529, 354, 329, 4680, 204, 2310, 1012, 440, 275, 6605, 496, 275, 25740, 572, 2428, 1068, 7336, 292, 4109, 3003, 521, 4680, 19, 1765, 2621, 3641, 6761, 5356, 17, 572, 1120, 21757, 2327, 4680, 31, 36004, 329, 39515, 17, 9425, 6214, 17, 329, 7746, 318, 20962, 322, 20641, 440, 3536, 20404, 789, 204, 3609, 36004, 329, 39515, 382, 1869, 311, 8956, 1922, 15280, 10370, 322, 402, 19359, 292, 275, 226, 3159, 31467, 497, 1064, 354, 329, 3467, 354, 659, 3855, 523, 10581, 17, 23138, 17, 36467, 17, 653, 948, 14907, 17, 1305, 953, 328, 322, 44654, 31042, 659, 47440, 366, 71, 1221, 17, 15228, 4960, 17, 521, 1429, 904, 292, 1071, 71, 578, 3776, 19, 334, 6793, 19028, 2648, 302, 39515, 353, 496, 1250, 529, 23577, 17, 1574, 560, 1574, 329, 292, 2220, 18045, 17, 560, 275, 3422, 13478, 302, 1051, 521, 1182, 3651, 20955, 19, 1198, 336, 6214, 529, 302, 3200, 275, 23297, 302, 501, 19377, 12140, 329, 3303, 302, 5431, 18, 28571, 1187, 12825, 14452, 17, 329, 618, 444, 3284, 18, 46322, 292, 4710, 38223, 2900, 3422, 329, 7346, 3651, 13478, 19, 25055, 318, 20962, 5794, 29530, 448, 2510, 1576, 496, 35449, 311, 9685, 523, 273, 3645, 17, 1101, 1017, 1622, 492, 18, 2292, 1001, 12034, 292, 1017, 6797, 448, 6768, 9873, 17, 448, 10689, 4009, 17913, 311, 275, 2150, 448, 4476, 18, 12566, 24703, 19, 3242, 1702, 17, 1250, 1856, 444, 12356, 26476, 497, 19468, 329, 904, 16589, 9873, 496, 2512, 521, 2219, 4426, 18828, 12186, 560, 3612, 19, 204, 5039, 273, 23781, 302, 275, 3511, 302, 6309, 17, 1605, 2327, 4680, 2248, 12208, 37624, 1291, 292, 6015, 12593, 329, 451, 3423, 19, 592, 275, 10033, 329, 26645, 10482, 39515, 1466, 7758, 1698, 560, 4382, 329, 30063, 8980, 17, 329, 2219, 1675, 1605, 41424, 5594, 1466, 7758, 1051, 630, 273, 690, 17, 6929, 292, 273, 2875, 2852, 17, 2927, 16863, 311, 4542, 322, 70, 30492, 5406, 4628, 302, 275, 2861, 2637, 4628, 302, 8295, 1415, 2549, 1151, 659, 329, 1466, 7921, 3397, 311, 2210, 521, 7034, 19, 592, 904, 2159, 17, 1250, 1466, 5027, 311, 6626, 17, 5027, 311, 732, 17, 329, 5027, 311, 3550, 7399, 19, 1198, 336, 6214, 2549, 444, 3171, 1182, 8235, 329, 22890, 38834, 2317, 1622, 1715, 336, 719, 4412, 292, 273, 7211, 2317, 2404, 2589, 4028, 322, 522, 12574, 521, 11342, 14, 867, 22890, 275, 1729, 19, 2935, 275, 9095, 3692, 329, 3232, 292, 15324, 27704, 867, 18187, 311, 18221, 504, 6973, 17, 311, 1895, 490, 2237, 348, 12459, 5289, 15994, 311, 4309, 497, 2075, 867, 348, 275, 1043, 690, 22890, 275, 1729, 3966, 19, 5424, 275, 19776, 302, 275, 12679, 17, 1702, 6973, 2549, 444, 896, 336, 292, 521, 40348, 329, 1675, 17913, 7559, 2547, 448, 7746, 318, 20962, 348, 275, 11200, 302, 273, 27399, 27949, 5698, 17, 8337, 5395, 44691, 275, 15994, 2368, 329, 5395, 9412, 72, 6800, 4616, 6121, 17, 1838, 17, 329, 8660, 19, 204, 4259, 448, 1792, 448, 1605, 2327, 4680, 529, 17, 1250, 1425, 32982, 273, 2875, 25740, 19, 7616, 302, 275, 2327, 353, 437, 726, 322, 1625, 7597, 2075, 1163, 4539, 6015, 1895, 18, 398, 521, 5150, 659, 848, 353, 8405, 7824, 1313, 322, 350, 4995, 275, 4699, 302, 42933, 1924, 273, 10288, 17, 15924, 2364, 659, 329, 848, 448, 16389, 311, 10724, 1163, 3612, 448, 273, 6768, 17, 2652, 18, 34401, 12168, 19, 204, 673, 1225, 289, 275, 1068, 2343, 334, 1068, 289, 275, 1225, 204, 3728, 884, 88, 1182, 17, 275, 47816, 496, 10370, 529, 8985, 17, 7824, 1313, 17, 329, 7746, 12034, 630, 275, 3060, 15363, 302, 2077, 265, 38, 2486, 70, 42156, 19, 8710, 15056, 572, 884, 358, 18596, 18514, 311, 4153, 7192, 302, 13082, 17, 329, 572, 884, 358, 2927, 273, 265, 638, 286, 15474, 311, 6202, 2909, 1818, 322, 5446, 275, 318, 13142, 353, 9003, 4145, 311, 1683, 2377, 2077, 19259, 329, 2482, 18, 350, 20411, 2222, 13082, 292, 18389, 18, 416, 18, 44476, 290, 13029, 789, 204, 5399, 884, 88, 1662, 265, 11589, 352, 288, 9211, 19, 828, 572, 8732, 496, 10370, 6327, 918, 275, 5994, 23577, 292, 1475, 17, 329, 397, 572, 0 ]

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

[ 0, 5395, 8732, 496, 1605, 48038, 17474, 529, 28802, 18, 4995, 1754, 403, 1044, 496, 3550, 1017, 4578, 292, 24088, 316, 348, 448, 2482, 448, 275, 12168, 7615, 2060, 17, 1675, 275, 5994, 874, 13055, 3472, 10370, 19, 25497, 48734, 16637, 17, 572, 884, 358, 32070, 18514, 496, 275, 10370, 572, 5148, 292, 2077, 8650, 521, 17938, 1924, 523, 273, 3645, 6327, 529, 275, 5994, 19, 3065, 884, 88, 1236, 1759, 1283, 4051, 12168, 329, 6093, 943, 19, 26834, 17, 1838, 17, 329, 8660, 874, 1742, 4073, 17729, 329, 6929, 19, 204, 2938, 20141, 88, 1308, 2745, 47876, 5644, 302, 1662, 273, 1225, 6401, 36754, 4890, 292, 273, 1068, 19, 11328, 275, 1322, 302, 21354, 270, 884, 88, 382, 612, 364, 17, 46332, 292, 650, 57, 2590, 2518, 275, 34360, 6129, 34269, 17, 18596, 311, 653, 948, 14907, 292, 275, 30652, 521, 27010, 6129, 34269, 17, 4628, 3483, 15948, 329, 304, 18, 27796, 560, 904, 4695, 8217, 292, 275, 15056, 496, 8367, 322, 402, 653, 948, 14907, 4363, 2554, 683, 1204, 659, 329, 1622, 285, 23884, 1001, 292, 275, 40052, 16723, 12901, 292, 1236, 14645, 1194, 33541, 18045, 22, 19, 3846, 21557, 3667, 860, 9709, 437, 40534, 37270, 299, 3718, 31, 27669, 17, 496, 275, 1043, 4835, 382, 612, 364, 496, 7615, 2060, 311, 2077, 690, 15580, 292, 273, 20208, 310, 1516, 4712, 22949, 34040, 448, 5086, 448, 275, 31657, 6129, 19798, 17, 19264, 970, 38026, 1257, 1877, 1163, 13567, 1622, 19744, 3582, 204, 837, 275, 47788, 17, 572, 283, 5246, 447, 4006, 884, 89, 2379, 329, 618, 884, 89, 12146, 2842, 1662, 273, 2482, 39192, 302, 33569, 35408, 756, 311, 6626, 496, 31657, 18, 19895, 1068, 19, 2935, 10407, 4363, 2554, 302, 275, 12301, 572, 874, 2317, 1429, 292, 15474, 329, 1429, 292, 9422, 440, 496, 1043, 4835, 1068, 2317, 4921, 1901, 302, 275, 24839, 38026, 2915, 17, 1101, 1422, 884, 88, 1236, 2501, 311, 21654, 275, 10033, 44537, 1025, 273, 2875, 23313, 16046, 19, 6524, 14343, 17, 302, 3200, 17, 2404, 275, 287, 38, 2486, 70, 382, 612, 364, 6202, 867, 273, 2875, 16046, 311, 4959, 440, 32, 329, 496, 884, 88, 311, 4627, 9430, 302, 275, 970, 4520, 38026, 1257, 302, 265, 38, 2486, 70, 3511, 19, 42230, 2799, 6265, 8367, 560, 10138, 12070, 6265, 19, 5610, 292, 830, 17, 9395, 273, 22275, 94, 1068, 18, 16400, 19, 204, 4259, 496, 22275, 3962, 869, 508, 28918, 7504, 33569, 497, 297, 48084, 1924, 275, 468, 10615, 329, 22843, 2075, 1250, 7319, 353, 273, 2875, 2799, 13652, 1068, 19, 4253, 1662, 770, 1250, 770, 490, 36, 4596, 8910, 43556, 11362, 329, 14056, 15366, 18541, 1250, 5695, 437, 8675, 302, 36173, 10133, 1399, 8305, 311, 273, 20632, 16046, 17, 273, 2590, 18, 900, 2553, 16649, 10926, 440, 1236, 25054, 9429, 19, 4160, 7122, 447, 273, 36331, 47754, 311, 7116, 265, 38, 2486, 70, 10939, 19, 204, 673, 8001, 302, 275, 42156, 8944, 808, 1352, 2950, 444, 1048, 27631, 19, 4087, 30648, 353, 2077, 1519, 348, 437, 726, 18, 492, 2317, 8106, 448, 30648, 448, 2077, 7504, 10619, 1519, 348, 273, 17284, 2799, 1273, 11077, 618, 1337, 2317, 496, 572, 874, 1742, 18506, 311, 1418, 335, 340, 292, 16049, 9924, 2643, 17, 830, 292, 275, 588, 302, 1068, 18, 18468, 19, 4253, 5566, 36, 12338, 1068, 18, 18468, 10907, 311, 10619, 1576, 348, 1225, 18, 18468, 19, 204, 11803, 335, 565, 6417, 884, 88, 8880, 95, 1312, 204, 1449, 3074, 273, 3171, 1182, 7504, 1763, 17, 572, 618, 6293, 302, 9584, 335, 565, 6417, 884, 88, 11695, 8880, 95, 1312, 448, 275, 33011, 22949, 566, 16059, 311, 275, 11804, 17, 521, 275, 9425, 6214, 16687, 560, 496, 11804, 17, 521, 273, 12579, 7746, 510, 2755, 7110, 19, 7616, 302, 1605, 10370, 2560, 292, 273, 1792, 6015, 798, 17, 440, 1792, 17064, 38415, 17, 7562, 2292, 17, 3073, 17, 329, 754, 18795, 19, 3846, 3153, 6108, 4006, 884, 89, 1307, 311, 275, 2318, 5557, 302, 275, 7597, 31, 275, 3718, 496, 830, 2327, 4840, 529, 28907, 578, 8037, 292, 275, 265, 38, 2486, 70, 19, 1131, 5533, 17, 275, 14420, 6015, 18387, 2317, 13893, 4960, 17, 2722, 4960, 1715, 17, 521, 4960, 3275, 9685, 2317, 15607, 884, 89, 11897, 19, 1131, 5533, 17, 275, 37624, 316, 38415, 2317, 565, 6417, 884, 88, 12070, 17, 45959, 302, 18389, 18, 416, 18, 44476, 290, 5967, 17, 521, 275, 2150, 5698, 2317, 15607, 884, 89, 11897, 19, 2935, 17705, 4442, 353, 496, 830, 2327, 4840, 529, 1622, 13166, 3582, 16588, 5034, 3483, 17, 2219, 397, 292, 14420, 4365, 1439, 17, 8880, 95, 1312, 275, 1225, 353, 8880, 95, 1312, 275, 1068, 13, 88, 789, 204, 2551, 2075, 770, 10370, 6327, 770, 311, 650, 57, 36, 204, 2920, 1465, 1410, 365, 5325, 705, 650, 57, 88, 496, 572, 618, 4699, 448, 5794, 3780, 329, 292, 1874, 36, 2935, 1583, 48038, 1613, 770, 311, 1475, 36, 204, 5834, 17, 329, 808, 353, 437, 13735, 1101, 26075, 447, 5362, 35537, 17, 572, 1631, 444, 18506, 311, 4030, 7066, 275, 265, 38, 2486, 70, 2871, 19, 1785, 874, 311, 636, 1429, 1759, 17, 311, 8921, 1751, 2077, 1540, 11523, 302, 32134, 13029, 1025, 273, 13283, 1491, 17, 1472, 18, 3499, 16685, 329, 4566, 1662, 496, 3817, 9046, 3697, 18, 19099, 23517, 1439, 2077, 7103, 311, 3126, 650, 57, 19, 1785, 874, 311, 9244, 275, 15532, 2317, 5862, 794, 339, 48287, 2317, 496, 20251, 4940, 993, 299, 273, 1767, 302, 4650, 17060, 17, 955, 18, 25513, 2281, 18, 3881, 30222, 18362, 88, 6216, 1194, 20533, 4504, 16244, 5956, 19, 11815, 448, 1236, 33361, 9631, 275, 588, 618, 7921, 444, 8106, 23281, 2614, 273, 25156, 17, 3826, 799, 478, 4890, 17, 794, 18, 278, 30140, 3467, 17, 754, 1236, 650, 57, 9631, 275, 4680, 1800, 618, 7921, 444, 14190, 13890, 292, 273, 1068, 17, 1236, 7597, 1662, 436, 89, 447, 42054, 329, 11529, 275, 48038, 6318, 1741, 444, 19, 1158, 356, 354, 2842, 5409, 884, 89, 7070, 496, 8235, 19, 204, 3728, 8290, 8287, 204, 7020, 808, 31359, 557, 32648, 292, 6832, 17, 2249, 884, 88, 1012, 560, 2573, 270, 1070, 1429, 302, 2075, 884, 88, 8287, 1330, 437, 650, 57, 5956, 1643, 353, 0 ]

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

[ 0, 8016, 311, 275, 279, 278, 6420, 696, 302, 273, 1068, 19, 1547, 884, 88, 273, 37216, 43919, 329, 8413, 359, 14797, 281, 35595, 19, 204, 2310, 13395, 30349, 2048, 1702, 448, 421, 271, 344, 17, 22331, 2292, 329, 5571, 2292, 17, 329, 27702, 19, 1785, 13395, 4954, 8432, 2090, 30833, 329, 23733, 2231, 17, 508, 311, 8633, 26195, 13975, 311, 2264, 1694, 17, 5465, 17, 329, 32211, 19, 1785, 13395, 275, 19742, 329, 21000, 6373, 5150, 302, 5956, 19, 20325, 2547, 17, 572, 13395, 275, 5665, 302, 23616, 17, 275, 2364, 302, 45848, 685, 302, 928, 1169, 2875, 5956, 7962, 1110, 19, 11815, 448, 30708, 17, 572, 13395, 275, 15285, 302, 275, 16056, 17, 2318, 521, 25997, 17, 329, 1169, 12186, 496, 24557, 1662, 275, 2811, 270, 42329, 19, 4253, 17, 508, 560, 1169, 3210, 3406, 17, 572, 13395, 275, 8916, 329, 10619, 2085, 17, 448, 2590, 448, 275, 4303, 35661, 17348, 1666, 302, 275, 5956, 322, 8920, 496, 529, 414, 42671, 311, 904, 3576, 302, 275, 468, 1160, 28862, 3542, 2016, 2219, 292, 275, 2765, 18, 2059, 8407, 789, 204, 13203, 884, 88, 273, 6273, 311, 348, 3216, 292, 11311, 311, 3099, 440, 650, 57, 17, 273, 6273, 311, 13776, 292, 275, 588, 302, 48038, 1613, 19, 828, 572, 884, 272, 18506, 311, 30215, 348, 496, 5746, 302, 36331, 2317, 329, 572, 884, 358, 2482, 468, 2782, 275, 8072, 92, 10803, 302, 275, 2016, 440, 4542, 397, 1169, 32316, 2317, 1675, 275, 42156, 302, 275, 1068, 1631, 444, 3060, 10652, 11027, 19, 204, 38, 4542, 8217, 874, 24543, 311, 1995, 1605, 3697, 1453, 880, 329, 311, 1308, 16589, 5169, 311, 275, 12294, 299, 302, 4699, 16105, 756, 560, 10370, 19, 5028, 302, 1605, 353, 275, 318, 42, 1912, 302, 273, 7149, 35923, 19717, 16244, 32738, 12301, 1966, 560, 275, 8540, 348, 16512, 292, 44307, 43730, 17, 928, 25040, 275, 14126, 302, 275, 5956, 440, 970, 5966, 10370, 322, 266, 275, 2171, 3269, 329, 292, 5589, 7619, 659, 273, 49037, 302, 9293, 35661, 17348, 26195, 17, 329, 273, 37348, 19, 5610, 302, 1605, 3576, 529, 304, 31003, 73, 1025, 273, 2875, 4835, 523, 275, 1729, 15924, 16589, 1472, 17, 8337, 513, 15686, 4616, 275, 1643, 329, 14644, 275, 6686, 20, 9744, 746, 10996, 273, 6745, 1375, 4699, 302, 28695, 362, 12934, 79, 2486, 78, 40609, 884, 88, 4950, 18, 12233, 5956, 19, 5898, 318, 27742, 440, 3557, 10683, 17, 1702, 448, 275, 21354, 270, 17905, 2545, 34446, 560, 275, 8540, 348, 39411, 45383, 16512, 17, 529, 1425, 47158, 19, 204, 29070, 10701, 48038, 42156, 204, 29070, 685, 497, 1683, 1169, 42156, 353, 26075, 447, 273, 38796, 1781, 19, 592, 808, 1322, 275, 1352, 869, 311, 1012, 440, 19811, 496, 2077, 6836, 18395, 292, 406, 13450, 329, 726, 3735, 529, 9430, 1182, 322, 416, 9430, 2202, 14, 1194, 273, 23283, 17, 3158, 578, 39593, 19, 592, 273, 7211, 17, 275, 265, 38, 2486, 70, 42196, 375, 273, 5568, 302, 10619, 401, 18, 12671, 17, 437, 794, 19777, 40990, 311, 2075, 572, 884, 358, 32070, 18514, 496, 10370, 618, 770, 19, 11731, 5008, 437, 35464, 13024, 353, 5027, 1225, 2404, 490, 3210, 23715, 4238, 275, 8454, 302, 9753, 18, 28571, 6137, 2317, 292, 808, 1322, 302, 4806, 18, 28340, 17, 458, 18, 18468, 17, 2556, 18, 18458, 17, 329, 830, 302, 3153, 904, 1068, 18, 10782, 6196, 496, 5233, 719, 329, 7072, 2077, 6450, 7977, 19, 2416, 5925, 275, 2590, 18, 27796, 329, 15216, 2688, 302, 275, 265, 38, 2486, 70, 2317, 521, 630, 3406, 311, 11506, 496, 275, 32353, 302, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 1337, 2317, 353, 311, 26935, 273, 5568, 302, 8908, 18317, 19, 4253, 1901, 1880, 9605, 311, 4516, 8908, 18317, 329, 1397, 16600, 696, 34793, 22006, 1250, 618, 19, 204, 38, 1322, 292, 917, 204, 3719, 872, 884, 272, 4488, 1622, 29070, 10701, 48038, 42156, 1001, 448, 9425, 6214, 292, 44307, 43730, 329, 275, 12679, 31, 2621, 3641, 302, 275, 27610, 17, 872, 884, 272, 2590, 9136, 302, 275, 26075, 9090, 523, 1068, 18, 13892, 19, 3665, 2379, 1043, 4659, 2075, 490, 3210, 311, 1384, 266, 411, 1282, 275, 9151, 311, 12136, 273, 7114, 18, 4038, 329, 311, 3478, 1214, 3346, 37959, 292, 6972, 302, 34022, 299, 275, 10935, 9649, 329, 47219, 1873, 275, 1051, 18, 4386, 28509, 302, 275, 1068, 322, 8091, 1877, 4669, 17, 1007, 1877, 1007, 17, 1472, 1877, 1472, 17, 329, 4501, 1622, 9476, 754, 42218, 334, 18389, 18, 416, 18, 44476, 290, 2016, 353, 304, 2833, 1546, 447, 329, 36673, 16398, 17, 311, 444, 6430, 17, 1101, 496, 7365, 353, 17591, 630, 273, 27062, 2264, 19, 204, 3719, 872, 884, 272, 4488, 1622, 29070, 10701, 48038, 42156, 1001, 448, 273, 6729, 18, 6763, 1491, 3440, 523, 1214, 3645, 17, 1422, 884, 88, 273, 16049, 2712, 292, 1214, 4699, 19, 14560, 17, 1422, 884, 88, 437, 16398, 329, 21063, 1068, 348, 872, 311, 1151, 17, 830, 1629, 17, 1101, 496, 884, 88, 28895, 275, 1136, 302, 275, 5765, 19, 9419, 872, 874, 1429, 5426, 311, 1895, 17, 27669, 17, 1465, 3855, 311, 3550, 2631, 3153, 6072, 329, 2238, 1051, 1877, 275, 1682, 17, 521, 311, 5925, 560, 26222, 523, 5444, 496, 1120, 3074, 872, 13762, 322, 780, 3848, 2614, 275, 13346, 302, 275, 2621, 3641, 6761, 789, 7054, 1622, 24070, 3663, 1001, 618, 444, 1051, 302, 275, 2327, 9758, 5632, 14003, 322, 1947, 287, 38, 2486, 70, 17, 265, 38, 2486, 70, 17, 329, 318, 38, 2486, 70, 4501, 2755, 292, 275, 1913, 4607, 18, 3520, 659, 3161, 302, 275, 1910, 2731, 13666, 292, 275, 1435, 302, 2731, 322, 266, 275, 468, 21442, 416, 4607, 18, 3520, 659, 1051, 302, 275, 1977, 11555, 322, 38070, 2755, 292, 275, 468, 21442, 416, 4607, 18, 3520, 659, 521, 7493, 1169, 7659, 299, 1977, 2614, 1169, 944, 19, 4253, 302, 3200, 872, 618, 4501, 407, 311, 808, 3060, 10313, 2317, 521, 1169, 904, 1051, 17, 348, 496, 7597, 19, 6720, 3425, 35972, 299, 1924, 275, 2621, 3641, 6761, 17, 292, 904, 2159, 17, 353, 273, 4802, 1043, 1660, 10996, 8993, 7066, 496, 1901, 14191, 545, 2871, 302, 830, 31, 275, 1068, 19, 204, 0 ]

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

[ 0, 5058, 884, 88, 329, 12647, 884, 3450, 204, 8390, 15370, 25346, 329, 20675, 5111, 311, 1307, 4238, 275, 19341, 302, 275, 2621, 3641, 6761, 17, 928, 3077, 1118, 7650, 3542, 1767, 292, 6972, 302, 978, 9372, 2914, 19, 13472, 17, 2249, 479, 1308, 273, 4542, 4916, 29316, 523, 275, 42156, 302, 275, 1068, 3217, 10953, 302, 1475, 2423, 521, 378, 7696, 1101, 830, 302, 1475, 13379, 311, 444, 14359, 19, 592, 318, 14866, 1015, 17, 4030, 302, 1475, 448, 5085, 17, 448, 2901, 18, 2160, 311, 9728, 7345, 19, 204, 46, 884, 358, 7540, 311, 3113, 1605, 5085, 292, 275, 798, 302, 1622, 2663, 884, 88, 1001, 329, 1622, 12508, 884, 3450, 4412, 496, 353, 17, 448, 3277, 15048, 18, 3881, 523, 1662, 311, 4516, 275, 16866, 42746, 302, 19259, 329, 21594, 1093, 26263, 311, 2077, 1540, 265, 38, 2486, 70, 6309, 19, 592, 496, 7211, 1250, 1690, 311, 3161, 758, 302, 426, 31452, 496, 10724, 448, 7249, 28903, 10996, 1182, 3700, 8660, 19, 204, 18, 9080, 732, 848, 6309, 5575, 311, 275, 5035, 302, 1163, 2941, 1397, 16600, 19, 204, 3070, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 17, 808, 3210, 42933, 1924, 28903, 329, 401, 18, 1062, 1070, 273, 15309, 17, 18828, 4699, 19, 1765, 275, 265, 38, 2486, 70, 808, 3210, 13283, 4616, 329, 34306, 6121, 17, 1838, 17, 329, 8660, 292, 273, 6768, 17, 3542, 1883, 348, 9757, 560, 1068, 18, 976, 375, 19, 3242, 273, 4303, 11316, 17, 490, 3210, 24764, 1397, 16600, 696, 34793, 19, 204, 18, 9080, 3074, 1025, 1747, 275, 16434, 302, 275, 25740, 1622, 492, 3582, 204, 3070, 275, 5356, 302, 275, 2621, 3641, 6761, 17, 572, 874, 10994, 2327, 4376, 4680, 17, 830, 302, 1475, 9693, 1554, 17, 2614, 808, 25740, 31, 8817, 3450, 329, 39515, 17, 1198, 336, 6214, 17, 329, 25055, 318, 20962, 19, 204, 18, 412, 1000, 884, 57, 30215, 348, 18389, 18, 416, 18, 44476, 290, 1330, 10288, 353, 275, 588, 302, 275, 1470, 19, 204, 6950, 3545, 650, 57, 10524, 21316, 322, 41689, 15259, 14, 618, 444, 14190, 292, 273, 1068, 19, 21132, 496, 1600, 278, 44895, 13029, 17, 329, 838, 329, 732, 11898, 496, 31579, 16191, 299, 19, 204, 18, 412, 1000, 884, 57, 4811, 337, 523, 273, 2875, 6309, 397, 273, 5632, 9617, 5994, 4037, 19, 204, 837, 2457, 437, 16244, 5956, 17, 21594, 1093, 26263, 311, 273, 48038, 28667, 521, 4466, 521, 2752, 521, 24793, 521, 904, 2875, 18, 4782, 10537, 302, 275, 1643, 1120, 45510, 17245, 275, 1136, 18, 816, 884, 88, 4699, 329, 1895, 348, 273, 13765, 7380, 5384, 19, 36043, 3536, 5632, 448, 273, 42392, 9617, 302, 7807, 311, 1182, 13082, 8084, 1173, 650, 57, 329, 311, 6024, 275, 575, 884, 88, 4699, 2317, 560, 513, 15686, 4616, 275, 1643, 19, 204, 18, 412, 1000, 884, 57, 5695, 275, 3536, 93, 7114, 18, 4038, 302, 2364, 336, 28903, 311, 273, 1051, 18, 4386, 28509, 19, 204, 673, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 6018, 12401, 311, 10647, 329, 838, 19, 1210, 299, 3817, 48734, 311, 48038, 2355, 13765, 3210, 1384, 266, 411, 15046, 3153, 12401, 19, 204, 18, 412, 1000, 884, 57, 22971, 13029, 1025, 437, 726, 19, 204, 30784, 437, 18828, 4699, 1025, 273, 7936, 1741, 5111, 311, 378, 746, 726, 3735, 329, 406, 13450, 322, 522, 3200, 17, 490, 5409, 884, 89, 659, 1101, 275, 2297, 353, 348, 12746, 1373, 447, 2223, 31, 1950, 18, 492, 945, 17060, 2048, 302, 275, 4699, 529, 15551, 26239, 2518, 872, 636, 6911, 19, 4889, 490, 437, 3817, 48734, 1609, 40908, 784, 19, 204, 18, 412, 1000, 884, 57, 2249, 42156, 678, 18, 44390, 5384, 19, 204, 36596, 7066, 275, 265, 38, 2486, 70, 19, 11328, 275, 18621, 329, 11525, 6309, 302, 275, 287, 38, 2486, 70, 329, 318, 38, 2486, 70, 19, 2416, 15633, 27749, 17, 1622, 2841, 529, 1182, 5337, 292, 24021, 329, 7625, 17, 14502, 2763, 17, 1194, 529, 19416, 89, 302, 292, 1214, 551, 492, 945, 66, 17696, 1001, 322, 36423, 1592, 17, 5102, 382, 17, 8328, 720, 789, 204, 22, 11757, 472, 4340, 94, 14667, 31, 3528, 19, 0, 461, 12042, 68, 416, 68, 826, 68, 1630, 13, 920, 22, 31, 421, 17, 771, 23, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 4389, 943, 329, 9111, 275, 1066, 302, 970, 886, 19, 204, 204, 264, 457, 31, 204, 268, 771, 22, 322, 339, 330, 334, 1043, 542, 311, 881, 19, 204, 268, 771, 23, 322, 339, 330, 334, 1350, 542, 311, 881, 19, 204, 264, 320, 204, 264, 314, 1198, 273, 4389, 943, 204, 264, 456, 499, 5975, 6, 382, 12119, 3100, 13966, 431, 204, 204, 264, 314, 888, 329, 456, 275, 1066, 302, 275, 886, 204, 264, 722, 31, 421, 289, 771, 22, 465, 771, 23, 204, 264, 456, 13, 75, 7, 673, 1066, 302, 463, 920, 22, 98, 329, 463, 920, 23, 98, 353, 463, 1300, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 970, 886, 204, 264, 542, 22, 31, 421, 289, 435, 204, 264, 542, 23, 31, 421, 289, 681, 204, 204, 264, 314, 4889, 275, 741, 440, 275, 886, 204, 264, 12042, 68, 416, 68, 826, 68, 1630, 13, 1190, 22, 17, 542, 23, 14, 204, 0, 531, 1498, 532, 783, 17, 1061, 204, 531, 14698, 532, 40465, 17, 41973, 17, 37014, 204, 204, 676, 4534, 31, 204, 264, 320, 204, 264, 3301, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 3133, 322, 339, 330, 334, 3133, 302, 275, 944, 19, 204, 268, 353, 68, 14371, 322, 2107, 330, 2266, 275, 944, 353, 273, 10025, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 3133, 31, 421, 289, 500, 17, 353, 68, 14371, 31, 1109, 289, 1078, 330, 204, 268, 370, 19, 5270, 289, 3133, 204, 268, 370, 19, 360, 68, 14371, 289, 353, 68, 14371, 204, 204, 264, 436, 636, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 3133, 302, 275, 944, 1279, 204, 268, 407, 370, 0 ]

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

[ 0, 19, 5270, 204, 204, 264, 436, 353, 68, 14371, 68, 1241, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 5995, 397, 275, 944, 353, 273, 10025, 944, 1279, 204, 268, 407, 370, 19, 360, 68, 14371, 204, 204, 204, 676, 38056, 2533, 13, 2533, 330, 204, 264, 320, 204, 264, 38056, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1125, 322, 339, 330, 334, 1943, 6717, 560, 275, 10025, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 3133, 31, 421, 17, 1125, 31, 421, 330, 204, 268, 2234, 3853, 924, 889, 5270, 17, 959, 14, 204, 268, 370, 19, 2441, 289, 1125, 204, 204, 204, 676, 27873, 2533, 13, 2533, 330, 204, 264, 320, 204, 264, 27873, 944, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1824, 322, 2533, 330, 334, 1824, 1656, 302, 275, 7659, 944, 19, 204, 268, 1629, 322, 2533, 330, 334, 1629, 1656, 302, 275, 7659, 944, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 1824, 31, 4534, 17, 1629, 31, 4534, 330, 204, 268, 2234, 3853, 924, 889, 1735, 19, 505, 68, 5270, 374, 465, 1629, 19, 505, 68, 5270, 2144, 1078, 14, 204, 268, 370, 19, 1735, 289, 1824, 204, 268, 370, 19, 1633, 289, 1629, 204, 204, 204, 676, 32885, 4833, 31, 204, 264, 320, 204, 264, 32885, 2192, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 1610, 322, 2533, 330, 334, 1610, 302, 275, 32885, 2192, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 17, 1610, 31, 4534, 330, 204, 268, 370, 19, 2125, 289, 1610, 204, 204, 264, 436, 636, 68, 2125, 13, 327, 14, 393, 4534, 31, 204, 268, 320, 5136, 275, 1610, 302, 275, 32885, 2192, 1279, 204, 268, 407, 370, 19, 2125, 204, 204, 264, 436, 636, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 5136, 275, 3133, 302, 275, 32885, 2192, 1279, 204, 268, 407, 370, 19, 2125, 19, 505, 68, 5270, 374, 204, 204, 264, 436, 15062, 68, 3150, 13, 327, 17, 1610, 31, 4534, 17, 1576, 31, 394, 17, 1576, 68, 873, 31, 1061, 64, 339, 17, 394, 694, 393, 443, 31, 204, 268, 320, 204, 268, 16165, 275, 32885, 2192, 329, 2270, 275, 1576, 955, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 2533, 330, 334, 790, 944, 19, 204, 305, 1576, 322, 325, 330, 334, 790, 1576, 19, 204, 305, 1576, 68, 873, 322, 1665, 64, 339, 17, 394, 1037, 334, 1576, 955, 19, 204, 268, 320, 204, 268, 314, 828, 275, 944, 353, 273, 10025, 944, 17, 881, 1163, 1943, 329, 1576, 311, 275, 955, 204, 268, 397, 1610, 19, 360, 68, 14371, 68, 1241, 1293, 204, 305, 1576, 68, 873, 64, 2125, 19, 2441, 66, 289, 1576, 204, 305, 407, 204, 822, 268, 314, 8276, 15062, 275, 1824, 329, 1629, 20457, 204, 268, 370, 19, 26592, 68, 3150, 13, 2125, 19, 1735, 17, 1576, 465, 379, 21, 491, 1576, 68, 873, 14, 204, 268, 370, 19, 26592, 68, 3150, 13, 2125, 19, 1633, 17, 1576, 465, 379, 22, 491, 1576, 68, 873, 14, 204, 204, 204, 461, 2270, 68, 77, 24737, 68, 3150, 13, 5270, 68, 873, 31, 1061, 64, 339, 17, 421, 694, 393, 32885, 4833, 31, 204, 264, 320, 204, 264, 4908, 275, 32885, 2192, 497, 273, 3133, 955, 19, 204, 204, 264, 457, 31, 204, 268, 3133, 68, 873, 322, 1665, 64, 339, 17, 421, 1037, 332, 955, 302, 1943, 6740, 19, 204, 204, 264, 475, 31, 204, 268, 32885, 4833, 31, 334, 5082, 32885, 2192, 19, 204, 264, 320, 204, 264, 314, 666, 273, 7794, 2769, 311, 1640, 275, 2731, 204, 264, 7794, 68, 1920, 289, 1306, 204, 615, 264, 314, 666, 273, 10025, 944, 348, 848, 1943, 329, 881, 490, 311, 275, 7794, 2769, 204, 264, 348, 1125, 17, 3133, 292, 3133, 68, 873, 19, 1996, 1293, 204, 268, 10025, 68, 1241, 289, 38056, 2533, 13, 5270, 17, 1125, 14, 204, 268, 37014, 13, 12948, 68, 1920, 17, 322, 5270, 17, 10025, 68, 1241, 602, 204, 204, 264, 314, 4908, 275, 32885, 2192, 204, 264, 1335, 1245, 13, 12948, 68, 1920, 14, 1323, 368, 31, 204, 268, 314, 763, 275, 970, 2731, 440, 275, 10658, 6740, 204, 268, 14016, 22, 17, 944, 22, 289, 41973, 13, 12948, 68, 1920, 14, 204, 268, 14016, 23, 17, 944, 23, 289, 41973, 13, 12948, 68, 1920, 14, 204, 822, 268, 314, 666, 273, 717, 7659, 944, 329, 881, 490, 311, 275, 7794, 2769, 204, 268, 7659, 68, 1241, 289, 27873, 2533, 13, 1241, 22, 17, 944, 23, 14, 204, 268, 37014, 13, 12948, 68, 1920, 17, 322, 8733, 22, 465, 14016, 23, 17, 7659, 68, 1241, 602, 204, 204, 264, 314, 666, 275, 32885, 2192, 497, 275, 1610, 944, 204, 264, 1610, 68, 1241, 289, 7794, 68, 1920, 64, 21, 1799, 22, 66, 204, 264, 373, 24737, 68, 3150, 289, 32885, 4833, 13, 2125, 68, 1241, 14, 204, 615, 264, 407, 373, 24737, 68, 3150, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 204, 264, 3133, 68, 873, 289, 463, 4452, 31, 931, 17, 14300, 31, 1199, 17, 14903, 31, 2468, 98, 226, 314, 16864, 955, 348, 2724, 379, 38, 491, 379, 39, 491, 379, 40, 12, 204, 264, 373, 24737, 68, 3150, 289, 2270, 68, 77, 24737, 68, 3150, 13, 5270, 68, 873, 14, 204, 615, 264, 314, 16165, 275, 32885, 2192, 329, 2270, 275, 1576, 955, 204, 264, 1576, 68, 873, 289, 2087, 204, 264, 373, 24737, 68, 3150, 19, 26592, 68, 3150, 13, 77, 24737, 68, 3150, 19, 505, 68, 2125, 2144, 8488, 1576, 68, 873, 14, 204, 615, 264, 314, 1198, 275, 1576, 955, 204, 264, 456, 499, 7154, 6881, 2212, 204, 264, 348, 1125, 17, 1576, 292, 1576, 68, 873, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 16850, 31, 463, 18589, 13, 2441, 15740, 8756, 31, 463, 1181, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 456, 68, 13926, 336, 68, 1630, 13, 1630, 31, 458, 64, 339, 0 ]

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

[ 0, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 848, 542, 292, 275, 537, 458, 31874, 560, 368, 19, 204, 204, 264, 457, 31, 204, 268, 886, 31, 332, 458, 302, 1892, 311, 444, 31874, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 537, 458, 329, 456, 848, 542, 31874, 560, 368, 204, 264, 348, 771, 292, 886, 31, 204, 268, 456, 13, 920, 465, 368, 14, 204, 204, 204, 461, 456, 68, 13123, 68, 1031, 13, 768, 68, 1031, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 537, 782, 21158, 17, 1051, 1943, 841, 1007, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 31, 334, 782, 311, 444, 9425, 21158, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 537, 782, 329, 456, 848, 1943, 523, 273, 717, 1007, 204, 264, 348, 1125, 292, 537, 68, 1031, 31, 204, 268, 456, 13, 2441, 14, 204, 204, 204, 461, 949, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 31, 458, 64, 873, 694, 393, 927, 64, 996, 17, 1135, 64, 325, 17, 818, 2440, 204, 264, 320, 204, 264, 3989, 275, 2480, 2279, 348, 848, 850, 329, 275, 8926, 2480, 2279, 19, 204, 204, 264, 457, 31, 204, 268, 2384, 68, 4319, 31, 332, 458, 302, 5239, 1174, 2384, 3703, 348, 848, 850, 19, 204, 305, 7616, 955, 1856, 874, 275, 2631, 3583, 31, 204, 485, 338, 388, 26929, 850, 559, 334, 588, 302, 275, 3859, 850, 19, 204, 485, 338, 388, 4319, 559, 332, 458, 302, 3703, 348, 275, 850, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 275, 8926, 2480, 2279, 329, 273, 955, 440, 2480, 3703, 348, 848, 850, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 311, 1640, 275, 1066, 302, 850, 18842, 329, 850, 2480, 3703, 204, 264, 8926, 68, 1303, 289, 500, 204, 264, 850, 68, 5670, 68, 4319, 289, 2087, 204, 204, 264, 314, 1861, 1048, 275, 2384, 3703, 204, 264, 348, 2384, 292, 2384, 68, 4319, 31, 204, 268, 314, 763, 275, 850, 588, 329, 3703, 497, 275, 2384, 955, 204, 268, 850, 68, 417, 289, 2384, 19, 505, 499, 26929, 850, 431, 204, 268, 3703, 289, 2384, 19, 505, 499, 4319, 431, 204, 204, 268, 314, 778, 397, 3703, 529, 2755, 348, 275, 850, 204, 268, 397, 3703, 31, 204, 305, 314, 888, 275, 2480, 2279, 348, 275, 850, 204, 305, 850, 68, 5670, 289, 1066, 13, 4319, 14, 802, 1245, 13, 4319, 14, 204, 204, 305, 314, 6993, 275, 850, 2480, 2279, 329, 1395, 275, 8926, 1066, 204, 305, 850, 68, 5670, 68, 4319, 64, 676, 68, 417, 66, 289, 850, 68, 5670, 204, 305, 8926, 68, 1303, 1412, 850, 68, 5670, 204, 204, 264, 314, 888, 275, 8926, 2480, 2279, 204, 264, 8926, 68, 5670, 289, 8926, 68, 1303, 802, 1245, 13, 676, 68, 5670, 68, 4319, 14, 397, 850, 68, 5670, 68, 4319, 902, 500, 204, 204, 264, 407, 8926, 68, 5670, 17, 850, 68, 5670, 68, 4319, 204, 204, 204, 461, 456, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 31, 458, 64, 873, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2480, 2279, 348, 848, 850, 329, 275, 8926, 2480, 2279, 19, 204, 204, 264, 457, 31, 204, 268, 2384, 68, 4319, 31, 332, 458, 302, 5239, 1174, 2384, 3703, 348, 848, 850, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 888, 275, 2480, 3703, 204, 264, 8926, 68, 5670, 17, 850, 68, 5670, 68, 4319, 289, 949, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 14, 204, 204, 264, 314, 1198, 275, 2480, 2279, 348, 848, 850, 204, 264, 348, 850, 68, 417, 17, 2480, 292, 850, 68, 5670, 68, 4319, 19, 1996, 1293, 204, 268, 456, 13, 75, 7, 3317, 31, 463, 676, 68, 417, 1522, 12507, 13639, 31, 463, 5670, 4567, 23, 75, 743, 204, 204, 264, 314, 1198, 275, 8926, 2480, 2279, 204, 264, 456, 13, 75, 7, 26212, 12507, 13639, 31, 463, 32891, 68, 5670, 4567, 23, 75, 743, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 683, 275, 4166, 3263, 19, 204, 264, 320, 204, 264, 314, 968, 683, 424, 204, 264, 2384, 68, 4319, 289, 551, 204, 268, 2832, 26929, 850, 559, 388, 22, 70, 528, 388, 4319, 559, 551, 24, 17, 435, 17, 368, 17, 435, 17, 571, 17, 681, 15745, 204, 268, 2832, 26929, 850, 559, 388, 23, 70, 528, 388, 4319, 559, 551, 25, 17, 720, 17, 435, 17, 571, 17, 681, 17, 435, 17, 720, 15745, 204, 268, 2832, 26929, 850, 559, 388, 24, 70, 528, 388, 4319, 559, 551, 26, 17, 435, 17, 571, 17, 571, 17, 681, 17, 435, 17, 720, 17, 681, 17, 435, 15745, 204, 264, 2437, 204, 264, 886, 68, 633, 68, 13926, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 17, 931, 66, 204, 264, 537, 68, 1031, 289, 388, 22747, 4606, 5676, 29035, 3852, 7, 204, 204, 264, 314, 1295, 275, 3263, 204, 264, 456, 499, 45626, 336, 8587, 2212, 204, 264, 456, 68, 13926, 336, 68, 1630, 13, 1630, 68, 633, 68, 13926, 14, 204, 264, 456, 3273, 83, 36949, 6109, 2212, 204, 264, 456, 68, 13123, 68, 1031, 13, 768, 68, 1031, 14, 204, 264, 456, 3273, 83, 11769, 34318, 2212, 204, 264, 456, 68, 5670, 68, 4319, 13, 4865, 68, 4319, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 13325, 7383, 7252, 8879, 7383, 21589, 204, 204, 673, 2599, 908, 322, 1599, 14, 353, 3060, 3557, 311, 275, 2599, 5432, 322, 10521, 14, 338, 490, 353, 275, 2599, 5432, 302, 275, 8813, 3272, 302, 273, 13229, 19, 334, 2089, 348, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 0 ]

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

[ 0, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 3070, 1763, 17, 397, 275, 2599, 5432, 302, 273, 1672, 353, 931, 19, 3787, 329, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 931, 19, 3787, 802, 5900, 13, 2169, 14, 289, 931, 19, 3787, 802, 887, 19, 2177, 289, 368, 19, 8867, 204, 204, 1834, 3210, 496, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8867, 19, 204, 204, 658, 13325, 7383, 21589, 8879, 7383, 7252, 10107, 334, 9664, 204, 204, 1449, 949, 275, 2599, 5432, 497, 275, 2599, 908, 302, 275, 1869, 17, 872, 618, 732, 275, 2631, 2089, 31, 204, 204, 10521, 289, 7917, 540, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 3070, 1763, 17, 397, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8867, 329, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 5432, 353, 31, 204, 204, 10521, 289, 368, 19, 8867, 540, 5900, 13, 2169, 14, 289, 368, 19, 8867, 540, 887, 19, 2177, 289, 931, 19, 3787, 204, 204, 1834, 3210, 496, 275, 2599, 5432, 302, 275, 1672, 353, 931, 19, 3787, 19, 204, 204, 658, 7383, 7252, 12082, 204, 204, 673, 2599, 908, 2089, 353, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 11142, 31, 204, 18, 7917, 353, 275, 2599, 908, 302, 275, 1869, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 1834, 2089, 353, 1376, 311, 949, 275, 2599, 908, 302, 275, 1869, 17, 928, 353, 273, 3001, 302, 275, 23616, 302, 275, 1672, 1869, 19, 204, 204, 658, 7383, 21589, 12082, 204, 204, 673, 2599, 5432, 2089, 353, 31, 204, 204, 10521, 289, 5900, 13, 26898, 13, 8261, 338, 8858, 2246, 23, 802, 322, 51, 338, 368, 602, 204, 204, 11142, 31, 204, 18, 16798, 353, 275, 2599, 5432, 302, 275, 1672, 204, 18, 22025, 353, 848, 3509, 424, 917, 204, 18, 8858, 353, 275, 1672, 1869, 204, 18, 392, 353, 275, 1672, 1302, 204, 204, 1834, 2089, 353, 1376, 311, 949, 275, 2599, 5432, 302, 273, 1672, 17, 928, 353, 273, 3001, 302, 275, 23616, 302, 275, 1672, 19, 204, 204, 658, 1165, 5248, 204, 204, 15560, 572, 874, 273, 1672, 302, 5962, 3703, 440, 273, 1869, 302, 5074, 329, 273, 2599, 5432, 302, 931, 19, 828, 572, 3480, 311, 949, 275, 2599, 908, 302, 275, 1869, 17, 572, 618, 732, 275, 2089, 31, 204, 204, 1599, 289, 16798, 802, 5900, 13, 51, 14, 204, 204, 3719, 275, 1672, 1302, 353, 2846, 17, 275, 2599, 908, 302, 275, 1869, 353, 31, 204, 204, 1599, 289, 931, 802, 5900, 13, 2169, 14, 289, 931, 802, 887, 19, 2177, 289, 368, 19, 8667, 204, 204, 1834, 3210, 496, 275, 2599, 908, 302, 275, 1869, 353, 368, 19, 8667, 19, 204, 204, 3719, 572, 3480, 311, 949, 275, 2599, 5432, 497, 275, 2599, 908, 302, 275, 1869, 17, 572, 618, 732, 275, 2089, 31, 204, 204, 10521, 289, 7917, 540, 5900, 13, 51, 14, 204, 204, 10521, 289, 368, 19, 8667, 540, 5900, 13, 2169, 14, 289, 368, 19, 8667, 540, 887, 19, 2177, 289, 931, 204, 204, 1834, 3210, 496, 275, 2599, 5432, 302, 275, 1672, 353, 931, 19, 0, 531, 1498, 532, 783, 204, 647, 14698, 204, 204, 676, 19363, 31, 204, 264, 320, 204, 264, 2646, 437, 3091, 440, 273, 1012, 329, 1136, 917, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1012, 31, 421, 17, 1136, 31, 421, 330, 204, 268, 320, 204, 268, 977, 437, 19363, 726, 19, 204, 204, 268, 457, 31, 204, 268, 1012, 322, 339, 330, 334, 1012, 917, 302, 275, 3091, 19, 204, 268, 1136, 322, 339, 330, 334, 1136, 917, 302, 275, 3091, 19, 204, 268, 320, 204, 268, 370, 19, 1530, 289, 1012, 204, 268, 370, 19, 409, 289, 1136, 204, 204, 461, 1020, 68, 2715, 68, 4841, 13, 10825, 31, 783, 64, 24363, 694, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 1752, 275, 1682, 3091, 302, 848, 3091, 292, 275, 800, 458, 19, 204, 204, 264, 457, 31, 204, 264, 7046, 322, 1218, 64, 24363, 1037, 332, 458, 302, 19363, 2828, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 332, 458, 302, 3265, 302, 275, 1682, 3091, 302, 848, 537, 3091, 19, 828, 1422, 353, 1236, 1682, 3091, 17, 2584, 338, 22, 19, 204, 264, 320, 204, 264, 397, 508, 7046, 31, 204, 268, 980, 987, 499, 3383, 458, 353, 1392, 431, 204, 204, 264, 314, 666, 273, 458, 302, 5760, 1174, 275, 1136, 917, 329, 1112, 302, 848, 3091, 204, 264, 1136, 68, 2160, 289, 6229, 4841, 19, 409, 17, 296, 14, 348, 296, 17, 3091, 292, 3209, 13, 10825, 2395, 204, 264, 314, 666, 273, 458, 302, 5760, 1174, 275, 1012, 917, 329, 1112, 302, 848, 3091, 204, 264, 1012, 68, 2160, 289, 6229, 4841, 19, 1530, 17, 296, 14, 348, 296, 17, 3091, 292, 3209, 13, 10825, 2395, 204, 204, 264, 314, 4641, 275, 1136, 1728, 329, 1012, 1728, 292, 9472, 1552, 204, 264, 1136, 68, 2160, 19, 2975, 374, 204, 264, 1012, 68, 2160, 19, 2975, 374, 204, 204, 264, 314, 977, 275, 722, 458, 440, 338, 22, 204, 264, 722, 289, 8308, 22, 66, 540, 1245, 13, 10825, 14, 204, 204, 264, 314, 977, 970, 13857, 17, 1051, 348, 275, 1136, 1728, 329, 1051, 348, 275, 1012, 1728, 204, 264, 1136, 68, 7412, 289, 500, 204, 264, 1012, 68, 7412, 289, 500, 204, 204, 264, 314, 1861, 1048, 275, 1136, 1728, 204, 264, 1335, 1136, 68, 7412, 962, 1245, 13, 409, 68, 2160, 330, 204, 268, 314, 763, 275, 790, 1136, 917, 329, 1163, 1112, 204, 268, 790, 68, 409, 17, 790, 68, 998, 289, 1136, 68, 2160, 64, 0 ]

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

[ 0, 409, 68, 7412, 66, 204, 204, 268, 314, 5360, 275, 1012, 9311, 4533, 3119, 572, 1020, 273, 1012, 917, 496, 353, 3114, 1194, 521, 1936, 311, 275, 790, 1136, 917, 204, 268, 1335, 1012, 68, 7412, 962, 1245, 13, 1530, 68, 2160, 14, 329, 1012, 68, 2160, 64, 1530, 68, 7412, 1799, 21, 66, 962, 790, 68, 409, 31, 204, 305, 1012, 68, 7412, 1412, 368, 204, 204, 268, 314, 828, 572, 1193, 273, 1012, 917, 496, 353, 3114, 1194, 521, 1936, 311, 275, 790, 1136, 917, 17, 1395, 275, 722, 204, 268, 397, 1012, 68, 7412, 962, 1245, 13, 1530, 68, 2160, 330, 204, 305, 722, 64, 1976, 68, 998, 66, 289, 1012, 68, 2160, 64, 1530, 68, 7412, 1799, 22, 66, 204, 204, 268, 314, 5360, 275, 1136, 9311, 4533, 204, 268, 1136, 68, 7412, 1412, 368, 204, 204, 264, 407, 722, 204, 204, 461, 667, 1293, 204, 264, 314, 1295, 2910, 204, 264, 683, 68, 3871, 289, 551, 204, 268, 551, 24363, 13, 23, 17, 571, 659, 19363, 13, 24, 17, 681, 659, 19363, 13, 26, 17, 887, 10354, 204, 268, 551, 24363, 13, 24, 17, 681, 659, 19363, 13, 22, 17, 720, 659, 19363, 13, 25, 17, 887, 10354, 204, 264, 2437, 204, 204, 264, 348, 683, 68, 2059, 292, 683, 68, 3871, 31, 204, 268, 722, 289, 1020, 68, 2715, 68, 4841, 13, 804, 68, 2059, 14, 204, 268, 456, 499, 12219, 3091, 3265, 529, 2180, 722, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 881, 68, 1630, 13, 70, 31, 421, 17, 308, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 5276, 970, 886, 4430, 19, 204, 204, 264, 457, 31, 204, 268, 273, 322, 339, 330, 334, 1043, 542, 311, 881, 19, 204, 268, 308, 322, 339, 330, 334, 1350, 542, 311, 881, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 273, 329, 308, 19, 204, 204, 264, 1632, 31, 204, 268, 3660, 31, 828, 273, 521, 308, 353, 508, 437, 1534, 19, 204, 264, 320, 204, 264, 314, 778, 397, 3806, 529, 1892, 329, 980, 3660, 397, 508, 204, 264, 397, 508, 2381, 13, 70, 17, 421, 14, 521, 508, 2381, 13, 71, 17, 421, 330, 204, 268, 980, 3660, 499, 11354, 273, 329, 308, 1631, 444, 1892, 431, 204, 615, 264, 314, 888, 329, 407, 275, 1066, 302, 275, 970, 886, 204, 264, 407, 273, 465, 308, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 810, 31, 204, 268, 722, 289, 881, 68, 1630, 13, 26, 17, 1168, 14, 204, 268, 456, 13, 75, 7, 673, 1066, 302, 720, 329, 1168, 353, 31, 463, 1300, 743, 204, 264, 827, 3660, 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, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 8, 204, 8, 21118, 322, 40, 14, 11794, 346, 1053, 51, 19, 204, 8, 204, 8, 1144, 1338, 286, 353, 4476, 8130, 32, 872, 618, 304, 42612, 490, 329, 20, 276, 9749, 490, 204, 8, 1683, 275, 3099, 302, 275, 20610, 11357, 32, 3020, 46906, 510, 348, 1182, 3695, 19, 204, 204, 315, 204, 40, 11033, 1650, 9381, 2413, 19, 204, 204, 1834, 2413, 3629, 273, 9381, 741, 311, 838, 273, 15029, 1650, 1014, 204, 2004, 954, 17143, 2557, 19, 204, 315, 204, 204, 531, 20348, 532, 15029, 204, 531, 17373, 532, 532, 68, 3909, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 461, 1137, 68, 1087, 68, 3909, 13, 1087, 68, 3909, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 1385, 1586, 497, 273, 2413, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 3909, 322, 325, 330, 4390, 832, 311, 1586, 2413, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 6408, 955, 19, 204, 204, 264, 1632, 31, 204, 268, 16581, 31, 828, 275, 1586, 2413, 2950, 444, 15846, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 4390, 275, 1586, 2413, 974, 17373, 204, 268, 954, 68, 3909, 289, 532, 68, 3909, 13, 1087, 68, 3909, 14, 204, 268, 314, 763, 275, 1586, 955, 497, 275, 2413, 204, 268, 954, 289, 463, 644, 31, 700, 348, 896, 17, 700, 292, 27081, 13, 1087, 68, 3909, 789, 1996, 374, 397, 508, 896, 19, 7209, 611, 367, 30188, 204, 268, 407, 954, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 314, 1426, 532, 908, 204, 268, 456, 13, 75, 7, 596, 4644, 1586, 2413, 31, 463, 74, 743, 204, 268, 407, 2087, 204, 204, 461, 1395, 68, 1087, 13, 22444, 68, 748, 31, 15029, 17, 954, 31, 1061, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1716, 15029, 1586, 440, 4541, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 20348, 68, 748, 322, 40, 11033, 330, 15029, 1650, 1014, 19, 204, 268, 954, 322, 1665, 330, 6408, 955, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1335, 9683, 275, 1586, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1716, 275, 1586, 204, 268, 20348, 68, 748, 19, 4120, 19, 2045, 13, 1087, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1395, 908, 204, 268, 456, 13, 75, 7, 596, 9683, 1586, 31, 463, 74, 743, 204, 204, 461, 838, 68, 22444, 68, 748, 13, 1087, 68, 3909, 31, 1535, 64, 325, 66, 289, 443, 17, 930, 2251, 14, 393, 15029, 31, 204, 264, 320, 204, 264, 15029, 1650, 9381, 19, 204, 204, 264, 1385, 299, 1552, 302, 1586, 322, 2715, 1051, 27276, 3090, 330, 204, 204, 268, 368, 19, 2937, 2413, 19, 204, 268, 435, 19, 14839, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 3909, 322, 4437, 64, 325, 1037, 4390, 832, 311, 1586, 2413, 19, 204, 268, 930, 2251, 31, 12097, 1586, 19, 204, 204, 264, 475, 31, 204, 268, 15029, 31, 15029, 1650, 1014, 19, 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, 320, 204, 264, 314, 666, 273, 717, 15029, 1650, 1014, 204, 264, 20348, 68, 748, 289, 15029, 374, 204, 204, 264, 314, 1385, 1586, 2413, 204, 264, 397, 954, 68, 3909, 31, 204, 268, 314, 1385, 1586, 497, 275, 2413, 204, 268, 954, 289, 1137, 68, 1087, 68, 3909, 13, 1087, 68, 3909, 14, 204, 268, 314, 977, 1586, 204, 268, 20348, 68, 748, 19, 1087, 68, 531, 68, 1386, 13, 1087, 14, 204, 204, 264, 314, 1385, 4541, 1906, 1586, 204, 264, 1395, 68, 1087, 13, 22444, 68, 748, 17, 6416, 14, 204, 204, 264, 407, 20348, 68, 748, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 15029, 1650, 1014, 440, 273, 1586, 2413, 204, 264, 740, 289, 838, 68, 22444, 68, 748, 611, 2301, 68, 1087, 68, 3909, 534, 204, 204, 264, 314, 666, 273, 15029, 1650, 1014, 440, 4541, 1906, 204, 264, 740, 289, 838, 68, 22444, 68, 748, 13, 21768, 833, 555, 31555, 1963, 16263, 37, 7714, 1654, 491, 9068, 833, 15614, 1963, 534, 204, 0, 2097, 39, 13559, 338, 35683, 397, 830, 275, 38289, 2549, 444, 304, 5293, 348, 275, 1729, 8784, 19, 1765, 1763, 17, 2263, 7792, 16416, 497, 275, 29444, 3450, 311, 2284, 10590, 1924, 275, 1561, 2549, 444, 5872, 329, 1675, 468, 270, 607, 336, 348, 732, 2528, 19, 2334, 4372, 2263, 2549, 444, 1376, 348, 25760, 19, 204, 1834, 353, 2842, 1051, 302, 275, 15520, 496, 867, 11188, 311, 275, 502, 429, 1333, 8187, 13631, 560, 5979, 565, 347, 11298, 270, 17, 13197, 302, 10651, 18459, 17, 15479, 19, 204, 39, 347, 11298, 270, 867, 26055, 311, 1673, 8546, 677, 3226, 26005, 9328, 292, 502, 429, 1333, 560, 13631, 1486, 502, 5066, 14358, 466, 95, 19, 14358, 466, 95, 353, 7595, 348, 273, 2501, 311, 4481, 502, 429, 1333, 523, 275, 2304, 329, 23838, 397, 275, 3226, 9211, 5970, 17, 496, 4230, 770, 275, 17764, 19, 204, 673, 3226, 302, 502, 429, 1333, 353, 292, 275, 1352, 302, 304, 9503, 1070, 1163, 38289, 5519, 16213, 19, 204, 7937, 90, 11298, 270, 10571, 275, 26005, 496, 1330, 490, 7336, 311, 2263, 1422, 353, 1236, 1702, 7936, 448, 10590, 19, 2474, 2219, 9453, 448, 4935, 448, 311, 4627, 275, 3018, 38289, 1856, 444, 26239, 19, 204, 7, 3719, 872, 874, 496, 48049, 872, 1012, 7595, 630, 12401, 5167, 566, 3252, 19, 204, 7937, 90, 11298, 270, 9453, 1048, 1910, 8660, 440, 275, 502, 429, 1333, 26005, 1101, 6911, 440, 567, 349, 3704, 11315, 19, 1058, 17, 566, 13171, 17, 353, 273, 6294, 3979, 928, 6019, 275, 15964, 23091, 302, 830, 6705, 329, 2237, 2407, 3232, 311, 275, 4408, 1781, 19, 204, 7, 3837, 677, 830, 1465, 8160, 5167, 566, 3252, 19, 204, 6617, 349, 3704, 11315, 7881, 3490, 440, 2327, 18, 1096, 3440, 10939, 19, 1547, 13207, 630, 275, 4911, 787, 3857, 17, 8543, 3857, 329, 275, 34756, 2501, 311, 2616, 275, 1844, 19, 204, 6031, 3252, 1924, 567, 349, 3704, 11315, 273, 7497, 5343, 618, 444, 1966, 19, 1058, 5343, 1784, 732, 273, 2263, 1561, 496, 869, 7490, 14242, 299, 5194, 348, 848, 1187, 302, 2263, 5926, 19, 17107, 756, 2263, 6651, 529, 19727, 26925, 348, 848, 2824, 732, 521, 304, 18, 598, 19, 204, 39, 347, 11298, 270, 3252, 1330, 5343, 18235, 2263, 5194, 3888, 529, 22062, 17, 2090, 2075, 618, 275, 2263, 444, 1376, 348, 1877, 1163, 1043, 732, 329, 2075, 618, 275, 2263, 444, 1376, 348, 1877, 1163, 1350, 732, 36, 16274, 275, 2263, 918, 16415, 36, 204, 673, 6733, 8944, 567, 349, 3704, 11315, 17, 565, 347, 11298, 270, 3252, 17, 353, 311, 42003, 448, 3171, 2263, 448, 2237, 19, 4596, 378, 27852, 2263, 17, 490, 618, 444, 1376, 20628, 19, 204, 3070, 1014, 17, 566, 3252, 5074, 2847, 302, 275, 2263, 1376, 292, 11773, 353, 7792, 16416, 19, 4496, 275, 502, 429, 1333, 8452, 17553, 448, 437, 1763, 17, 566, 3252, 496, 677, 273, 6273, 302, 2263, 19, 204, 4259, 1683, 273, 1561, 7784, 440, 567, 349, 3704, 11315, 17, 275, 7792, 16416, 2263, 1784, 444, 18812, 329, 275, 4578, 5289, 19, 334, 16415, 497, 275, 7792, 16416, 2263, 2549, 444, 1376, 311, 17436, 504, 2357, 521, 2219, 275, 3938, 853, 630, 275, 8229, 19, 4168, 275, 4578, 529, 5289, 275, 11370, 2263, 2549, 444, 32017, 311, 18544, 275, 29444, 3450, 2528, 19, 204, 37485, 466, 95, 867, 523, 2052, 17, 13815, 3522, 275, 304, 30472, 302, 275, 3226, 677, 38289, 4968, 353, 292, 275, 11666, 6771, 17, 808, 353, 275, 690, 311, 1012, 7595, 630, 2914, 1702, 448, 10651, 18459, 17, 15479, 19, 11188, 19, 204, 7, 1834, 353, 2077, 10931, 311, 770, 5805, 1629, 329, 292, 275, 1629, 2501, 5167, 566, 10571, 275, 26005, 19, 204, 50, 429, 1333, 6903, 276, 17052, 81, 791, 1503, 70, 17228, 17, 5209, 496, 6186, 5970, 4230, 2219, 1895, 1182, 15174, 2755, 19, 204, 673, 41349, 1120, 3422, 275, 3226, 677, 790, 11315, 12735, 17, 28518, 2343, 27238, 23813, 17, 15479, 2458, 311, 636, 4430, 440, 10651, 18459, 311, 3020, 2075, 5568, 302, 2914, 529, 2755, 311, 275, 3226, 19, 0, 38, 2415, 353, 23577, 292, 437, 20487, 1629, 18, 16781, 3302, 754, 496, 275, 2415, 329, 275, 3302, 874, 1051, 2746, 292, 2323, 19, 6426, 496, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 19, 204, 204, 4377, 31, 226, 204, 18, 9124, 353, 273, 3302, 1629, 18, 16781, 630, 565, 19, 204, 18, 5219, 289, 10355, 322, 8500, 490, 677, 437, 20487, 3302, 789, 204, 18, 5370, 36770, 353, 273, 2415, 19, 204, 204, 1449, 7647, 31, 226, 204, 15578, 289, 7999, 322, 78, 19, 74, 2458, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 789, 204, 204, 23886, 31, 204, 4592, 5370, 36770, 353, 273, 2415, 31, 204, 22, 19, 25569, 289, 565, 43, 322, 8500, 830, 2902, 302, 273, 2415, 529, 1936, 14, 3168, 1581, 368, 204, 23, 19, 5219, 289, 10355, 322, 19206, 14, 3168, 1581, 435, 204, 204, 3609, 11745, 1581, 368, 497, 1581, 435, 17, 572, 636, 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, 2686, 338, 25569, 289, 10355, 338, 565, 43, 204, 1834, 11388, 311, 31, 204, 3007, 289, 23649, 204, 204, 4063, 17, 3522, 5370, 36770, 353, 273, 2415, 17, 2746, 565, 1557, 289, 2746, 565, 11604, 289, 4950, 4528, 322, 1633, 4893, 789, 204, 204, 20612, 17, 2746, 5219, 41, 289, 2746, 472, 10294, 322, 8500, 5219, 289, 10355, 329, 2746, 9124, 289, 4950, 4528, 17, 4461, 3302, 9124, 20487, 789, 204, 204, 1834, 10600, 496, 3302, 332, 1557, 353, 14039, 311, 3302, 346, 11604, 322, 1424, 15118, 18, 19246, 18, 22750, 34000, 789, 204, 204, 4356, 17, 32291, 289, 7999, 17, 928, 3210, 275, 5855, 302, 275, 2415, 7283, 275, 4678, 302, 275, 2323, 2746, 18804, 275, 13682, 10533, 19, 0, 3837, 6644, 1422, 353, 1236, 2824, 2821, 1844, 1917, 292, 275, 800, 1068, 19, 334, 1068, 6965, 311, 444, 273, 3599, 302, 5444, 329, 15300, 302, 4109, 2821, 18520, 329, 4764, 348, 1792, 5686, 4683, 17, 2864, 1142, 3490, 17, 6249, 17, 329, 12134, 19, 828, 872, 2549, 1308, 273, 2824, 2821, 1844, 17, 382, 10497, 444, 10048, 311, 1340, 872, 2616, 490, 1660, 560, 1660, 19, 0, 676, 35490, 19913, 31, 204, 264, 320, 3317, 2457, 273, 14593, 6099, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 12413, 437, 1392, 14593, 6099, 1279, 204, 268, 370, 19, 1996, 289, 1306, 204, 204, 264, 436, 881, 68, 1271, 13, 327, 17, 1184, 31, 394, 14, 393, 443, 31, 204, 268, 320, 4421, 437, 1184, 311, 275, 14593, 6099, 1279, 204, 268, 370, 19, 1996, 19, 1223, 13, 1271, 14, 204, 268, 456, 13, 75, 7, 27451, 463, 1271, 98, 311, 275, 6099, 1280, 204, 204, 264, 436, 2013, 68, 9279, 13, 327, 14, 393, 443, 31, 204, 268, 320, 14864, 275, 790, 14593, 6099, 1279, 204, 268, 397, 508, 370, 19, 1996, 31, 204, 305, 456, 499, 10357, 14593, 6099, 353, 1392, 1280, 204, 268, 902, 31, 204, 305, 456, 13, 75, 7, 11322, 14593, 6099, 31, 25401, 3759, 1541, 13, 327, 19, 1996, 3835, 204, 204, 204, 676, 5565, 17949, 31, 204, 264, 320, 3317, 7029, 348, 14056, 3576, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2755, 68, 6719, 31, 458, 64, 325, 1037, 204, 268, 320, 12413, 275, 1085, 11550, 440, 2755, 3576, 1279, 204, 268, 370, 19, 6772, 68, 6719, 289, 2755, 68, 6719, 204, 204, 264, 436, 2037, 68, 6772, 68, 6719, 13, 327, 14, 393, 443, 31, 204, 268, 320, 14864, 275, 2755, 3576, 311, 275, 575, 1279, 204, 268, 456, 499, 21235, 3576, 2212, 204, 268, 348, 296, 17, 1085, 292, 3209, 13, 327, 19, 6772, 68, 6719, 17, 1012, 34, 22, 330, 204, 305, 456, 13, 75, 1954, 78, 2829, 463, 1819, 743, 204, 204, 264, 436, 636, 68, 816, 68, 4352, 13, 327, 14, 393, 394, 31, 204, 268, 320, 5136, 275, 575, 677, 3508, 329, 3893, 490, 1279, 204, 268, 1335, 959, 31, 204, 305, 575, 68, 4352, 289, 537, 499, 5213, 2694, 437, 4248, 497, 275, 458, 4166, 322, 276, 379, 21, 12, 311, 5925, 330, 2810, 204, 305, 397, 575, 68, 4352, 564, 379, 21, 597, 204, 485, 407, 575, 68, 4352, 204, 305, 810, 31, 204, 485, 3508, 68, 1190, 289, 421, 13, 816, 68, 4352, 14, 204, 485, 397, 368, 2186, 3508, 68, 1190, 2186, 1245, 13, 327, 19, 6772, 68, 6719, 330, 204, 895, 407, 575, 68, 4352, 204, 485, 902, 31, 204, 895, 456, 13, 75, 7, 1962, 3508, 19, 2982, 2694, 273, 542, 1283, 368, 329, 463, 1796, 13, 327, 19, 6772, 68, 6719, 3835, 204, 305, 827, 987, 31, 204, 485, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 8952, 741, 311, 1523, 275, 2548, 1279, 204, 264, 2755, 68, 6719, 289, 3134, 16074, 528, 388, 13411, 528, 388, 19314, 528, 388, 13678, 528, 388, 13678, 7220, 528, 388, 16521, 8087, 19263, 1339, 204, 264, 1085, 68, 12192, 289, 5565, 17949, 13, 6772, 68, 6719, 14, 204, 264, 14593, 68, 9279, 289, 35490, 19913, 374, 204, 204, 264, 1335, 959, 31, 204, 268, 1085, 68, 12192, 19, 2994, 68, 6772, 68, 6719, 374, 204, 268, 575, 68, 4352, 289, 1085, 68, 12192, 19, 505, 68, 816, 68, 4352, 374, 204, 268, 397, 575, 68, 4352, 564, 379, 21, 597, 204, 305, 2280, 204, 268, 4285, 68, 1819, 289, 1085, 68, 12192, 19, 6772, 68, 6719, 64, 339, 13, 816, 68, 4352, 14, 338, 368, 66, 204, 268, 14593, 68, 9279, 19, 826, 68, 1271, 13, 9227, 68, 1819, 14, 204, 268, 14593, 68, 9279, 19, 1529, 68, 9279, 374, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 1834, 2413, 12938, 1662, 311, 838, 273, 5420, 292, 5959, 19, 204, 3837, 6019, 273, 741, 311, 838, 273, 5420, 496, 304, 2199, 273, 1242, 329, 9321, 273, 717, 1242, 311, 273, 570, 19, 204, 315, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 461, 838, 68, 18775, 13, 748, 68, 417, 31, 394, 17, 570, 68, 417, 31, 394, 17, 3299, 68, 1993, 68, 417, 31, 394, 17, 717, 68, 1993, 68, 417, 31, 394, 17, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 31, 394, 14, 393, 6447, 19, 11267, 31, 204, 264, 320, 204, 264, 2605, 273, 5420, 496, 304, 2199, 273, 1242, 329, 9321, 273, 717, 1242, 311, 273, 570, 19, 204, 204, 264, 457, 31, 204, 268, 740, 68, 417, 322, 325, 330, 334, 588, 302, 275, 5959, 740, 19, 204, 268, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 570, 19, 204, 268, 3299, 68, 1993, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1242, 311, 444, 27959, 19, 204, 268, 717, 68, 1993, 68, 417, 322, 325, 330, 334, 717, 588, 302, 275, 1242, 19, 204, 268, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 322, 325, 330, 334, 588, 302, 275, 717, 1242, 311, 444, 4327, 19, 204, 204, 264, 475, 31, 204, 268, 6447, 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, 11267, 31, 334, 1966, 5420, 19, 204, 264, 320, 204, 264, 314, 9918, 275, 6127, 348, 808, 5420, 204, 264, 6127, 289, 551, 204, 268, 314, 6652, 275, 3090, 5420, 353, 379, 32294, 68, 2572, 68, 417, 12, 204, 268, 322, 748, 68, 417, 17, 379, 32294, 68, 2572, 68, 417, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 2758, 311, 444, 8942, 292, 808, 5420, 204, 264, 2758, 289, 551, 204, 268, 314, 12596, 275, 379, 929, 68, 1993, 68, 417, 12, 1242, 311, 379, 1957, 68, 1993, 68, 417, 12, 292, 275, 379, 809, 68, 417, 12, 570, 204, 268, 6447, 19, 32662, 1186, 13, 204, 305, 570, 68, 417, 34, 809, 68, 417, 17, 204, 305, 3299, 68, 417, 34, 929, 68, 1993, 68, 417, 17, 204, 305, 717, 68, 417, 34, 1957, 68, 1993, 68, 417, 17, 204, 268, 5334, 204, 268, 314, 1255, 273, 717, 379, 1957, 68, 1993, 68, 417, 68, 633, 68, 826, 12, 1242, 311, 275, 379, 809, 68, 417, 12, 570, 204, 268, 6447, 19, 22057, 13, 204, 305, 570, 68, 417, 34, 809, 68, 417, 17, 204, 305, 588, 34, 1957, 68, 1993, 68, 417, 68, 633, 68, 826, 17, 204, 305, 1242, 34, 1618, 19, 2580, 13, 1129, 68, 1205, 34, 9030, 17, 3749, 34, 1021, 659, 204, 268, 5334, 204, 264, 2437, 204, 204, 264, 314, 666, 275, 5420, 204, 264, 5420, 289, 1187, 611, 11267, 491, 322, 12571, 19, 11267, 18671, 463, 204, 268, 379, 12362, 597, 6127, 17, 204, 268, 379, 6512, 597, 2758, 17, 204, 264, 7084, 204, 204, 264, 407, 5420, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 68, 417, 289, 379, 3924, 3543, 12, 204, 264, 570, 68, 417, 289, 379, 2572, 12, 204, 264, 3299, 68, 1993, 68, 417, 289, 379, 417, 12, 204, 264, 717, 68, 1993, 68, 417, 289, 379, 809, 12, 204, 264, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 289, 379, 7620, 12, 204, 204, 264, 5420, 289, 838, 68, 18775, 13, 748, 68, 417, 17, 570, 68, 417, 17, 3299, 68, 1993, 68, 417, 17, 717, 68, 1993, 68, 417, 17, 717, 68, 1993, 68, 417, 68, 633, 68, 826, 14, 204, 264, 456, 13, 18775, 19, 12362, 14, 204, 264, 456, 13, 18775, 19, 6512, 14, 204, 0, 531, 1498, 532, 1061, 204, 204, 676, 48954, 31, 204, 264, 320, 204, 264, 332, 850, 496, 30589, 275, 6137, 302, 273, 5959, 5420, 510, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 570, 68, 417, 31, 394, 17, 1242, 68, 417, 31, 394, 17, 8620, 68, 644, 68, 809, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 48954, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 570, 311, 444, 5846, 19, 204, 268, 338, 1242, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1242, 311, 444, 5846, 19, 204, 268, 338, 8620, 68, 644, 68, 809, 322, 325, 330, 334, 588, 302, 275, 570, 348, 275, 8620, 896, 19, 204, 268, 320, 204, 268, 370, 19, 809, 68, 417, 289, 570, 68, 417, 204, 268, 370, 19, 1993, 68, 417, 289, 1242, 68, 417, 204, 268, 370, 19, 24663, 68, 644, 68, 809, 289, 8620, 68, 644, 68, 809, 204, 268, 370, 19, 809, 68, 3939, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2629, 289, 463, 204, 305, 1242, 68, 417, 31, 2832, 8179, 559, 1078, 17, 388, 8436, 559, 1078, 98, 204, 268, 1211, 204, 204, 264, 436, 881, 68, 24663, 68, 644, 13, 327, 17, 1540, 68, 876, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 8620, 896, 311, 275, 570, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1540, 68, 876, 322, 339, 330, 334, 1540, 700, 348, 275, 8620, 896, 19, 204, 268, 320, 204, 268, 314, 1255, 8620, 896, 311, 275, 570, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 24663, 68, 644, 1339, 289, 370, 19, 24663, 68, 644, 68, 809, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 2305, 1339, 289, 1540, 68, 876, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8179, 1339, 289, 1078, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8436, 1339, 289, 1078, 204, 204, 264, 436, 9749, 68, 1993, 13, 327, 17, 2512, 68, 8179, 31, 1109, 14, 393, 443, 31, 204, 268, 320, 204, 268, 37377, 275, 1242, 311, 2512, 3749, 1019, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2512, 68, 8179, 322, 2107, 330, 2266, 311, 2512, 3749, 1019, 348, 275, 1242, 19, 204, 268, 320, 204, 268, 314, 17023, 275, 1242, 311, 2512, 3749, 1019, 204, 268, 370, 19, 809, 68, 3939, 64, 327, 19, 1993, 68, 417, 10017, 8179, 1339, 289, 2512, 68, 8179, 204, 204, 264, 436, 636, 68, 809, 68, 3939, 13, 327, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2440, 204, 268, 320, 204, 268, 475, 275, 570, 2357, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1061, 64, 325, 17, 1061, 64, 325, 17, 1109, 2440, 334, 570, 2357, 19, 204, 268, 320, 204, 268, 407, 370, 19, 809, 68, 3939, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 5420, 289, 48954, 499, 21684, 17635, 40, 363, 37556, 528, 388, 15803, 37556, 528, 388, 40, 363, 37556, 431, 204, 264, 456, 499, 6238, 570, 2357, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 204, 264, 314, 1255, 8620, 896, 311, 275, 570, 204, 264, 5420, 19, 826, 68, 24663, 68, 644, 13, 22, 14, 204, 264, 456, 3273, 83, 1655, 2357, 1877, 5209, 8620, 896, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 204, 264, 314, 17023, 275, 1242, 311, 2512, 0 ]

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

[ 0, 3749, 1019, 204, 264, 5420, 19, 20874, 68, 1993, 13, 1021, 14, 204, 264, 456, 3273, 83, 1655, 2357, 1877, 11227, 275, 1242, 2212, 204, 264, 456, 13, 18775, 19, 505, 68, 809, 68, 3939, 1447, 204, 0, 647, 3805, 448, 1246, 204, 531, 10650, 25, 532, 5322, 204, 531, 17894, 1931, 532, 26981, 204, 531, 4942, 68, 2754, 19, 10082, 532, 45832, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 3454, 204, 50, 27024, 68, 8298, 7216, 68, 3778, 289, 388, 3189, 1963, 747, 25337, 17776, 19, 1453, 11291, 204, 50, 27024, 68, 8440, 68, 3778, 289, 388, 3189, 1963, 2816, 2936, 18, 25679, 19, 1453, 11291, 204, 50, 27024, 68, 3637, 35774, 68, 3778, 289, 388, 3189, 1963, 49032, 20892, 18, 25679, 19, 1453, 11291, 204, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 289, 388, 3189, 1963, 25679, 42518, 43680, 19, 1453, 11291, 204, 204, 461, 11088, 68, 25679, 68, 7577, 13, 6964, 31, 26981, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 4240, 497, 275, 3537, 26093, 8134, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 4240, 1724, 329, 10313, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 4240, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 8298, 7216, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 4240, 1724, 329, 10313, 204, 264, 4240, 68, 1778, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 2387, 68, 1778, 5561, 505, 68, 492, 374, 204, 264, 4240, 68, 85, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 5982, 68, 356, 12388, 68, 3825, 5561, 505, 68, 492, 374, 204, 204, 264, 407, 2832, 7577, 68, 1778, 559, 4240, 68, 1778, 17, 388, 7577, 68, 85, 559, 4240, 68, 85, 98, 204, 204, 461, 11088, 68, 25679, 68, 935, 13, 6964, 31, 26981, 14, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 275, 20682, 13873, 752, 497, 275, 11036, 24349, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1274, 302, 275, 20682, 13873, 752, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 752, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 8440, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 752, 1977, 204, 264, 1977, 289, 5804, 19, 2269, 499, 2952, 528, 850, 24097, 39836, 68, 492, 68, 4670, 5561, 70, 1166, 9919, 1339, 204, 204, 264, 407, 502, 27024, 68, 8440, 68, 3778, 465, 1977, 204, 204, 461, 11088, 68, 25679, 68, 20892, 374, 393, 394, 31, 204, 264, 320, 204, 264, 18640, 13873, 10942, 497, 275, 46960, 30275, 5885, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2966, 1435, 1174, 13873, 10942, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 2966, 5630, 497, 275, 13873, 10942, 5885, 204, 264, 5630, 289, 1246, 19, 976, 68, 2079, 13, 50, 27024, 68, 3637, 35774, 68, 3778, 14, 204, 204, 264, 314, 1986, 275, 1043, 1435, 329, 1883, 490, 448, 2966, 204, 264, 2349, 289, 5630, 64, 21, 66, 204, 264, 2349, 19, 3786, 289, 2470, 491, 379, 45691, 491, 379, 28395, 839, 204, 264, 407, 2349, 19, 633, 68, 2079, 13, 3191, 1022, 1867, 1435, 18, 2892, 336, 431, 204, 204, 461, 11088, 68, 25679, 68, 42518, 43680, 13, 6964, 31, 26981, 14, 393, 783, 64, 1665, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 18640, 13873, 18050, 43680, 497, 275, 13873, 40685, 43680, 5885, 19, 204, 204, 264, 457, 31, 204, 268, 5214, 322, 26876, 330, 334, 5214, 1014, 311, 732, 348, 20259, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 64, 325, 17, 394, 2440, 332, 458, 302, 5239, 1174, 275, 20500, 752, 5448, 329, 10614, 19, 204, 264, 320, 204, 264, 314, 22683, 275, 13873, 18050, 43680, 5885, 329, 2252, 275, 2966, 1666, 204, 264, 5214, 19, 15440, 13, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 14, 204, 264, 5004, 289, 5214, 19, 2079, 204, 264, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 204, 264, 314, 1986, 275, 20500, 5444, 204, 264, 5444, 289, 551, 78, 1166, 9919, 1339, 348, 296, 292, 5804, 19, 2269, 68, 668, 611, 70, 534, 397, 296, 1166, 9919, 1339, 2167, 13088, 1339, 204, 264, 20500, 68, 7037, 289, 551, 50, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 465, 5444, 64, 78, 66, 348, 296, 292, 933, 13, 1796, 13, 7037, 602, 397, 296, 1564, 435, 2167, 500, 66, 204, 204, 264, 314, 1986, 275, 20500, 752, 5448, 329, 10614, 204, 264, 18050, 43680, 289, 1306, 204, 264, 348, 1977, 292, 20500, 68, 7037, 31, 204, 268, 5214, 19, 15440, 13, 2850, 14, 204, 268, 5004, 289, 5214, 19, 2079, 204, 268, 5804, 289, 5322, 13, 2079, 17, 388, 2079, 19, 3766, 431, 204, 268, 3840, 68, 805, 289, 502, 27024, 68, 4687, 8087, 5917, 7067, 2214, 68, 3778, 465, 5804, 19, 2269, 68, 668, 499, 70, 528, 1029, 1022, 68, 8436, 15109, 23, 10017, 9919, 1339, 204, 268, 1724, 289, 5804, 19, 2269, 499, 77, 23, 528, 850, 24097, 1778, 5561, 505, 68, 492, 374, 204, 268, 18050, 43680, 19, 1223, 7075, 3371, 68, 805, 559, 3840, 68, 805, 17, 388, 1778, 559, 1724, 1937, 204, 204, 264, 407, 18050, 43680, 204, 204, 461, 11088, 68, 25679, 68, 481, 374, 393, 1061, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 18640, 13873, 424, 497, 4109, 19468, 19, 204, 204, 264, 475, 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, 1061, 64, 325, 17, 394, 744, 332, 955, 1174, 275, 18044, 13873, 424, 19, 204, 264, 320, 204, 264, 314, 977, 275, 5214, 1014, 204, 264, 11216, 68, 546, 289, 2552, 14772, 68, 546, 597, 45832, 1528, 9310, 9447, 204, 264, 5214, 289, 26981, 611, 10082, 491, 930, 14772, 68, 546, 17, 21572, 34, 1975, 14, 204, 204, 264, 810, 31, 204, 268, 314, 18640, 275, 13873, 424, 204, 268, 4240, 289, 11088, 68, 25679, 68, 7577, 13, 6964, 14, 204, 268, 20682, 68, 935, 68, 805, 289, 11088, 68, 25679, 68, 935, 13, 6964, 14, 204, 268, 1435, 289, 11088, 68, 25679, 68, 20892, 374, 204, 268, 18050, 43680, 289, 11088, 68, 25679, 68, 42518, 43680, 13, 6964, 14, 204, 204, 268, 314, 666, 273, 955, 1174, 275, 18044, 13873, 424, 204, 268, 28467, 68, 481, 289, 463, 204, 305, 388, 7577, 559, 4240, 17, 204, 305, 388, 42282, 68, 935, 68, 805, 559, 20682, 68, 935, 68, 805, 17, 204, 305, 388, 1867, 559, 1435, 17, 204, 305, 388, 42518, 43680, 559, 18050, 43680, 204, 268, 1211, 204, 204, 268, 407, 28467, 68, 481, 204, 264, 6666, 31, 204, 268, 314, 15655, 275, 5214, 1014, 204, 268, 5214, 19, 8289, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 26410, 68, 25679, 68, 481, 1447, 204, 0, 2310, 874, 273, 21185, 1690, 302, 1225, 311, 770, 311, 4897, 496, 830, 2077, 2459, 5506, 1250, 4362, 14118, 965, 884, 311, 275, 12347, 329, 529, 8106, 6999, 19, 334, 3094, 4240, 353, 496, 397, 830, 8740, 1895, 273, 21219, 311, 13405, 437, 24493, 45563, 17, 572, 7051, 618, 1895, 273, 2712, 19, 204, 3728, 353, 437, 24493, 45563, 36, 204, 2021, 24493, 45563, 353, 15502, 1465, 275, 1978, 329, 2590, 18, 17562, 302, 830, 2459, 17, 329, 353, 18596, 311, 3100, 1465, 1662, 1429, 9116, 11845, 618, 444, 27956, 557, 19, 10107, 3200, 17, 830, 8740, 529, 15502, 1465, 1017, 2459, 1101, 397, 572, 5847, 311, 16036, 2077, 45200, 11845, 497, 690, 311, 690, 17, 572, 1741, 508, 2318, 594, 496, 572, 529, 2317, 794, 339, 18941, 3483, 2317, 16533, 1429, 2459, 292, 2077, 4364, 19, 204, 3728, 618, 872, 770, 311, 4897, 872, 529, 437, 24493, 45563, 36, 204, 2310, 529, 42246, 311, 18635, 496, 13195, 17706, 869, 7001, 273, 3697, 592, 7696, 9465, 730, 36205, 10903, 19, 3665, 618, 1225, 1924, 275, 3200, 292, 1465, 2468, 4112, 17, 329, 490, 1120, 2886, 872, 311, 1356, 1792, 12759, 302, 1214, 6296, 329, 311, 2390, 1182, 24493, 11845, 1273, 4331, 19, 334, 10903, 1425, 6019, 3073, 311, 719, 18, 633, 18, 672, 4764, 17, 5685, 311, 6635, 1214, 10726, 17, 329, 1483, 1465, 5395, 19854, 41, 6196, 872, 618, 3389, 594, 292, 1214, 3346, 8452, 521, 8955, 19, 204, 2310, 41230, 496, 11243, 353, 3060, 23124, 17, 754, 382, 3480, 311, 13023, 275, 4362, 38356, 15374, 884, 4446, 302, 275, 10903, 496, 19236, 12361, 523, 4549, 1702, 448, 31, 2545, 24493, 1330, 974, 44528, 17, 25583, 273, 15373, 17, 9116, 48388, 17, 329, 2150, 36234, 19, 204, 5824, 13967, 302, 275, 3200, 872, 1120, 5495, 273, 20608, 18132, 340, 311, 881, 311, 1214, 1692, 9357, 17, 42090, 3680, 6623, 2458, 329, 808, 1120, 6548, 1214, 21219, 311, 13405, 437, 24493, 45563, 19, 1785, 830, 41230, 496, 23091, 353, 273, 3060, 9055, 1864, 329, 273, 2875, 3697, 3200, 2950, 770, 490, 16760, 17, 1101, 6432, 808, 21219, 1660, 1120, 444, 9764, 329, 24380, 299, 348, 872, 17, 329, 304, 2833, 1546, 348, 1214, 2459, 19, 0, 921, 46391, 24219, 4172, 21186, 1674, 15430, 19896, 40243, 15430, 13032, 43533, 27986, 3152, 19896, 204, 15433, 1345, 5768, 46391, 24219, 4172, 21186, 8922, 36, 204, 921, 46391, 24219, 4172, 21186, 5290, 2499, 10531, 13444, 47834, 6155, 725, 7764, 6977, 5958, 6347, 7608, 460, 46391, 1116, 408, 7466, 24219, 4172, 21186, 23445, 12924, 27737, 45813, 568, 12994, 24219, 4172, 21186, 460, 31622, 12431, 1116, 18, 23337, 31755, 2823, 12623, 1227, 460, 21558, 568, 30533, 6364, 1886, 6049, 3411, 1971, 408, 14407, 9620, 14065, 725, 15730, 2321, 725, 9109, 3716, 13445, 8085, 12166, 3984, 3068, 3716, 13445, 42523, 6, 226, 24219, 4172, 21186, 25495, 1773, 13, 30889, 21807, 552, 1931, 2706, 14, 12693, 44748, 15387, 1401, 22118, 568, 24618, 9993, 6730, 854, 24219, 4172, 21186, 5265, 31211, 4172, 27962, 43675, 2831, 568, 204, 4411, 1254, 2336, 30602, 17699, 20621, 6478, 1227, 37892, 4172, 33300, 2253, 4096, 32976, 568, 24219, 4172, 21186, 45838, 19235, 12744, 43675, 2831, 1191, 2371, 408, 2174, 20026, 2592, 258, 15706, 460, 24618, 9993, 6730, 1822, 22186, 3675, 26044, 43399, 42012, 26496, 568, 43675, 2831, 1189, 22834, 4660, 9109, 7205, 10493, 1227, 37613, 28311, 568, 204, 39138, 921, 24219, 4172, 21186, 45838, 460, 45415, 12744, 1811, 24618, 9993, 6730, 568, 204, 6325, 3004, 15626, 41910, 1456, 854, 24219, 4172, 21186, 19865, 24986, 6841, 408, 15932, 10451, 6055, 1003, 11259, 3068, 2568, 408, 854, 7061, 270, 408, 12118, 1227, 48, 18, 37485, 1955, 17179, 6991, 7420, 39138, 5958, 10272, 3293, 11095, 37186, 21788, 1773, 568, 24618, 9993, 6730, 17005, 6806, 14617, 4127, 40243, 37402, 24618, 9993, 6730, 6236, 4035, 28286, 20743, 408, 12924, 28778, 30296, 1227, 26511, 5958, 6966, 15764, 3560, 568, 204, 6281, 950, 252, 4134, 7335, 35842, 4134, 14244, 7442, 239, 11480, 237, 13440, 5957, 47099, 7442, 238, 3562, 1990, 7442, 255, 47099, 7442, 241, 7442, 128, 45334, 4134, 204, 11277, 113, 33630, 11480, 261, 47004, 11480, 114, 11277, 255, 11277, 109, 11277, 235, 33630, 725, 11277, 235, 11277, 259, 11277, 254, 11480, 101, 48791, 5957, 1674, 38761, 7442, 110, 37984, 240, 171, 107, 247, 4786, 238, 7711, 7442, 109, 13440, 1116, 11480, 123, 11480, 129, 11277, 231, 11277, 249, 7442, 240, 22187, 7442, 249, 11480, 247, 30931, 37505, 7442, 110, 43224, 7442, 103, 43224, 7442, 103, 19566, 12244, 7442, 110, 7442, 238, 10725, 7442, 236, 43774, 105, 35842, 7442, 128, 45334, 568, 204, 8570, 1649, 251, 7442, 109, 7100, 106, 28212, 11480, 232, 11277, 100, 11277, 231, 11480, 125, 33630, 11480, 122, 30931, 7573, 2868, 11480, 230, 7442, 248, 7442, 250, 35842, 7442, 128, 7442, 255, 11480, 247, 30931, 47099, 7442, 248, 2857, 2433, 7442, 243, 0 ]

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

[ 0, 7442, 260, 7442, 249, 35842, 568, 204, 2500, 4384, 46058, 7442, 110, 44339, 7442, 238, 10725, 7442, 236, 43774, 105, 7442, 238, 11480, 238, 7442, 128, 45334, 568, 7442, 128, 7442, 259, 12598, 2436, 7442, 110, 11247, 35842, 7442, 259, 7442, 238, 3562, 1990, 7442, 255, 44339, 8388, 240, 2544, 30931, 25180, 7442, 110, 7442, 109, 11480, 239, 2730, 7442, 248, 7442, 250, 35842, 7442, 128, 45334, 30931, 47099, 7442, 248, 1111, 6436, 7442, 243, 7442, 260, 7442, 249, 35842, 7442, 128, 7442, 255, 568, 204, 14244, 37, 7442, 122, 30931, 7442, 248, 25960, 7442, 240, 7442, 128, 7442, 260, 30931, 1740, 44339, 7442, 247, 7442, 100, 11480, 237, 7442, 239, 11480, 237, 7442, 108, 7442, 234, 7442, 258, 4134, 204, 0, 12607, 2554, 529, 27500, 7196, 560, 10178, 16663, 275, 3714, 302, 3585, 25543, 292, 275, 30349, 36660, 17, 329, 1675, 37259, 275, 3585, 19, 4682, 275, 16615, 5367, 302, 275, 18319, 18, 398, 3585, 6609, 273, 2637, 45424, 5316, 17, 15362, 529, 1425, 3250, 284, 12407, 2060, 19, 30127, 1741, 444, 30019, 13996, 322, 91, 8399, 279, 5413, 21371, 6124, 1882, 275, 28827, 1745, 302, 275, 3506, 14, 521, 10802, 3275, 322, 91, 8399, 279, 5413, 508, 21371, 6124, 1882, 275, 28827, 1745, 302, 275, 3506, 789, 8278, 353, 273, 458, 302, 275, 15362, 292, 20324, 18, 15585, 5589, 19, 204, 22, 19, 802, 85, 20, 322, 1947, 3783, 293, 46542, 284, 292, 3098, 330, 10802, 3275, 6975, 1079, 464, 3506, 19, 204, 23, 19, 802, 71, 20, 322, 1947, 3783, 293, 46542, 308, 292, 6174, 330, 30019, 13996, 6975, 1079, 464, 3506, 19, 204, 24, 19, 802, 89, 20, 322, 1947, 3783, 293, 46542, 265, 292, 27696, 330, 10802, 3275, 520, 358, 6775, 3506, 19, 204, 25, 19, 802, 73, 20, 322, 1947, 3783, 293, 46542, 303, 292, 7844, 330, 30019, 13996, 520, 358, 6775, 3506, 19, 204, 26, 19, 802, 80, 20, 322, 1947, 3783, 293, 46542, 279, 292, 2737, 330, 10802, 3275, 30828, 290, 3506, 19, 204, 27, 19, 802, 76, 20, 322, 1947, 3783, 293, 46542, 357, 292, 10602, 330, 30019, 13996, 30828, 290, 3506, 19, 204, 64, 4536, 311, 388, 1046, 1013, 1372, 1339, 204, 64, 4536, 311, 388, 6674, 271, 6531, 1339, 0, 5399, 529, 275, 1199, 3888, 440, 10660, 5169, 31, 204, 204, 777, 22, 19, 332, 1629, 3302, 440, 2902, 571, 3179, 17, 681, 3179, 17, 329, 720, 3179, 353, 11780, 523, 275, 1653, 302, 571, 3179, 311, 798, 273, 13708, 19, 334, 3351, 302, 275, 13708, 754, 7196, 353, 4626, 204, 204, 14562, 289, 368, 20, 24, 23315, 23, 77, 289, 322, 22, 20, 24, 2771, 5780, 2771, 4236, 2771, 681, 14, 3179, 24, 289, 1598, 3080, 3179, 24, 204, 204, 777, 23, 19, 592, 273, 31799, 17, 720, 3179, 302, 8434, 14646, 19, 334, 3351, 302, 2263, 496, 14646, 523, 368, 19, 26, 39785, 302, 4410, 353, 4626, 204, 204, 22, 30554, 879, 289, 931, 17, 1207, 309, 23, 204, 8928, 289, 322, 22, 19, 26, 2771, 10850, 14, 309, 23, 289, 43266, 309, 23, 204, 30364, 289, 322, 26, 20, 2051, 14, 309, 289, 322, 22, 20, 1036, 14, 309, 204, 14562, 289, 322, 8928, 2771, 25661, 14, 289, 322, 1909, 1207, 2771, 368, 20, 1036, 14, 309, 24, 289, 26507, 309, 24, 204, 204, 777, 24, 19, 332, 18298, 353, 2153, 309, 2482, 329, 1598, 309, 9055, 19, 828, 275, 1066, 302, 275, 4549, 302, 275, 8224, 329, 275, 22979, 353, 1936, 311, 275, 1066, 302, 275, 4549, 302, 3420, 12540, 17, 275, 3351, 302, 275, 18298, 353, 4626, 204, 204, 23, 13, 1909, 465, 1598, 14, 2771, 373, 289, 435, 13, 1909, 2771, 1598, 14, 204, 77, 289, 322, 11425, 20, 4343, 14, 309, 289, 322, 1036, 20, 24, 14, 309, 204, 14562, 289, 322, 1909, 2771, 1598, 2771, 1199, 20, 24, 14, 309, 24, 289, 18973, 309, 24, 204, 204, 777, 25, 19, 14300, 10542, 15930, 302, 18381, 353, 9470, 1025, 273, 8795, 368, 8966, 292, 8035, 19, 334, 1277, 302, 275, 8795, 292, 6166, 1120, 444, 4626, 204, 204, 3661, 275, 1277, 302, 275, 8795, 444, 373, 19, 204, 28119, 289, 368, 20, 23, 8966, 289, 368, 20, 1036, 3179, 19, 204, 13, 2898, 20, 28, 2771, 368, 20, 1036, 2771, 368, 20, 1036, 2771, 373, 14, 289, 14300, 204, 77, 289, 322, 2682, 2771, 1199, 2771, 1199, 2771, 1168, 4061, 2898, 289, 1132, 6386, 3179, 289, 13451, 309, 204, 204, 777, 26, 19, 332, 29668, 11925, 9669, 353, 4839, 3179, 2482, 329, 1163, 8348, 8035, 353, 1132, 3179, 19, 828, 275, 13276, 302, 275, 9669, 353, 368, 3179, 329, 11925, 28635, 1132, 357, 20, 3912, 24, 17, 1675, 275, 2308, 302, 275, 9669, 353, 4626, 204, 204, 14562, 302, 11925, 289, 322, 2898, 20, 28, 2771, 6229, 25, 14, 23, 2317, 322, 24, 14, 23, 66, 2771, 4839, 14, 3179, 24, 289, 681, 8867, 3179, 24, 204, 15947, 302, 11925, 289, 322, 7378, 23, 2771, 1132, 14, 34080, 289, 5075, 5007, 34080, 289, 571, 19, 27, 5007, 5279, 204, 204, 777, 27, 19, 332, 13913, 5701, 273, 1277, 571, 309, 329, 15715, 435, 309, 353, 15157, 523, 273, 17836, 19, 334, 13913, 47838, 560, 368, 3179, 1330, 273, 1064, 8290, 523, 490, 19, 334, 3284, 302, 275, 1064, 353, 4626, 204, 204, 14562, 302, 2263, 27517, 289, 322, 24, 2771, 435, 2771, 500, 19, 3222, 14, 309, 24, 289, 500, 19, 7788, 309, 24, 204, 22719, 302, 1064, 289, 11010, 302, 2263, 27517, 2771, 22671, 302, 2263, 289, 322, 21, 19, 7788, 2771, 3861, 14, 5279, 289, 3382, 5279, 204, 204, 777, 28, 19, 2753, 4757, 7117, 273, 19610, 292, 273, 2263, 8857, 2846, 309, 2482, 329, 1199, 309, 9055, 523, 273, 10641, 2344, 19, 828, 275, 2480, 11492, 302, 2263, 560, 273, 1064, 353, 681, 309, 24, 17, 1675, 275, 10462, 292, 275, 2263, 1870, 292, 275, 8857, 1120, 444, 4626, 204, 204, 6425, 3351, 302, 2263, 27517, 289, 322, 25, 2771, 2753, 14, 309, 24, 289, 2031, 309, 24, 204, 55, 594, 292, 2263, 1870, 289, 551, 2825, 6918, 2846, 2771, 1199, 2395, 309, 289, 500, 19, 1511, 309, 289, 2019, 3179, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 777, 29, 19, 334, 36588, 1853, 302, 273, 1629, 9951, 13708, 353, 931, 309, 329, 1163, 1853, 353, 1132, 309, 19, 1752, 275, 1864, 302, 1163, 22946, 3776, 11599, 204, 204, 81, 289, 931, 309, 17, 373, 289, 1132, 309, 204, 6739, 1462, 3776, 1864, 289, 5780, 9411, 289, 322, 3080, 2771, 887, 2771, 931, 14, 309, 23, 289, 3382, 5780, 309, 23, 204, 204, 777, 30, 19, 332, 279, 337, 1349, 887, 82, 2482, 329, 681, 309, 6592, 3192, 2263, 719, 311, 273, 4450, 302, 368, 309, 2019, 3179, 19, 334, 1113, 1864, 302, 275, 14314, 3776, 353, 4626, 204, 204, 8928, 302, 275, 14314, 3776, 289, 551, 23, 13, 21275, 465, 308, 77, 465, 317, 77, 14, 2317, 18293, 66, 289, 551, 23, 322, 25, 2771, 368, 19, 1511, 465, 887, 2771, 368, 19, 1511, 14, 465, 887, 2771, 681, 66, 309, 23, 289, 10516, 309, 23, 204, 204, 777, 1003, 19, 332, 39162, 6087, 353, 302, 13737, 2665, 440, 5150, 7332, 309, 610, 5075, 309, 19, 8879, 848, 302, 1163, 13303, 17, 273, 2415, 353, 4581, 2258, 754, 448, 311, 1895, 437, 1451, 2871, 19, 828, 275, 1277, 302, 275, 2415, 353, 1132, 309, 17, 275, 3351, 302, 275, 2871, 322, 266, 309, 24, 14, 353, 4626, 204, 204, 81, 289, 322, 4553, 2317, 2247, 14, 82, 289, 4236, 309, 17, 308, 289, 322, 3701, 2317, 2247, 14, 82, 289, 1199, 309, 17, 373, 289, 1132, 309, 204, 14562, 302, 275, 2871, 289, 322, 2177, 2771, 1199, 2771, 1132, 14, 309, 24, 289, 720, 9030, 309, 24, 204, 204, 777, 1641, 19, 334, 22946, 3776, 1864, 302, 273, 27139, 45249, 353, 44215, 309, 23, 329, 1163, 3351, 353, 1233, 2500, 309, 24, 19, 1752, 275, 3726, 302, 1163, 8035, 311, 1163, 1853, 11599, 204, 204, 13, 17798, 23, 77, 4061, 322, 23, 17798, 77, 14, 289, 1233, 2500, 20, 31276, 204, 87, 289, 6229, 30, 2500, 802, 31276, 14, 2771, 435, 66, 289, 1168, 309, 329, 17, 435, 17798, 77, 289, 44215, 204, 77, 289, 322, 31276, 2771, 1168, 20, 2898, 2771, 368, 20, 23, 2771, 368, 20, 28, 14, 289, 887, 309, 204, 10888, 3726, 289, 435, 87, 20, 77, 289, 2905, 20, 27, 289, 1168, 1164, 571, 204, 204, 777, 1258, 19, 332, 279, 337, 1349, 302, 5960, 23885, 26802, 7935, 1718, 43809, 571, 19, 24, 309, 560, 435, 19, 27, 309, 560, 368, 19, 22, 309, 329, 1163, 12540, 529, 720, 3179, 9205, 19, 334, 13276, 302, 275, 5533, 353, 4626, 204, 204, 3661, 275, 13276, 302, 275, 5533, 444, 610, 3179, 19, 204, 9538, 17, 6229, 34377, 2317, 931, 14, 2771, 322, 31159, 2317, 931, 14, 2771, 322, 13151, 2317, 610, 2395, 289, 23885, 2771, 3861, 204, 13, 13151, 2317, 610, 14, 289, 322, 20249, 2771, 3861, 4061, 322, 22556, 2771, 10835, 14, 289, 1607, 204, 93, 289, 931, 3179, 204, 204, 777, 2353, 19, 2935, 353, 275, 1113, 3776, 1864, 302, 273, 1629, 9951, 13708, 302, 1853, 2905, 3179, 329, 1034, 3441, 1168, 3179, 9390, 204, 204, 77, 289, 2905, 3179, 17, 468, 289, 1168, 3179, 204, 6425, 3776, 1864, 289, 5780, 9411, 465, 23315, 23, 289, 322, 2898, 20, 28, 2771, 1168, 2771, 7776, 465, 5436, 20, 28, 2771, 10360, 14, 3179, 23, 289, 681, 4966, 19, 4049, 3179, 23, 204, 204, 777, 2300, 19, 332, 3403, 6871, 353, 7196, 497, 275, 3821, 8744, 560, 29345, 2327, 5406, 11078, 302, 571, 17, 681, 17, 329, 720, 3179, 1653, 19, 2935, 353, 275, 3726, 302, 275, 1113, 3776, 4549, 302, 275, 5406, 11078, 329, 275, 3403, 6871, 9390, 204, 204, 14562, 302, 275, 3403, 6871, 289, 322, 3268, 465, 12055, 465, 14098, 14, 289, 24908, 3179, 24, 204, 70, 24, 289, 24908, 17, 273, 289, 887, 3179, 204, 10888, 3726, 289, 551, 27, 2771, 322, 2177, 465, 8178, 465, 10691, 44443, 322, 27, 2771, 15338, 14, 289, 2753, 20, 3701, 289, 2019, 1164, 1916, 204, 204, 777, 1909, 19, 2026, 1910, 26574, 17, 848, 13978, 2019, 3179, 2771, 2958, 19, 1511, 3179, 2771, 887, 3179, 17, 1120, 444, 4331, 311, 2270, 273, 5999, 302, 1132, 309, 2771, 887, 309, 2771, 5436, 19, 26, 3179, 9390, 204, 204, 4290, 302, 26574, 289, 11010, 302, 275, 5999, 20, 11010, 302, 368, 18389, 289, 322, 10015, 2771, 8873, 2771, 5436, 19, 26, 4061, 322, 1511, 2771, 2958, 19, 1511, 2771, 887, 14, 289, 5737, 473, 204, 204, 777, 1845, 19, 2935, 353, 275, 3351, 302, 273, 4236, 18, 9645, 2223, 27139, 8857, 9390, 204, 204, 46, 19, 334, 1864, 302, 1163, 1034, 353, 34767, 309, 23, 19, 204, 14562, 289, 322, 8928, 302, 275, 1034, 2771, 18061, 14, 289, 322, 33326, 2771, 4236, 14, 309, 24, 204, 5526, 19, 334, 8035, 302, 275, 1034, 353, 2905, 309, 19, 204, 14562, 289, 5780, 468, 23, 77, 289, 322, 2898, 20, 28, 2771, 1168, 2771, 1168, 2771, 4236, 14, 309, 24, 289, 10516, 4023, 309, 24, 204, 204, 777, 2314, 19, 4208, 273, 800, 13737, 2254, 273, 6871, 9390, 204, 204, 46, 19, 1131, 3406, 435, 6587, 302, 275, 13737, 2254, 529, 5537, 19, 204, 5526, 19, 334, 3351, 302, 275, 2254, 353, 5737, 19, 204, 7374, 382, 329, 8392, 17, 275, 1019, 302, 317, 17, 308, 17, 373, 1741, 444, 322, 22, 17, 368, 17, 5737, 659, 322, 23, 17, 435, 17, 2247, 659, 322, 25, 17, 681, 17, 681, 789, 204, 16459, 17, 275, 2254, 1741, 444, 273, 6871, 521, 30921, 19, 204, 204, 777, 2132, 19, 2935, 353, 275, 5960, 302, 273, 27139, 8857, 9390, 204, 204, 46, 19, 24982, 302, 275, 1034, 353, 4315, 302, 1163, 1853, 928, 353, 4662, 6166, 19, 204, 77, 289, 4662, 309, 17, 468, 289, 2905, 204, 44530, 289, 5780, 468, 23, 77, 204, 5526, 19, 7806, 302, 275, 1034, 353, 887, 1845, 5223, 19, 6166, 329, 1163, 1853, 353, 4662, 6166, 19, 204, 44530, 289, 322, 3080, 468, 23, 2771, 373, 14, 289, 322, 27, 1845, 2771, 4662, 14, 309, 24, 204, 204, 777, 1794, 19, 2935, 353, 275, 1853, 302, 273, 9951, 13708, 9390, 204, 204, 46, 19, 334, 1864, 302, 496, 13708, 353, 1936, 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, 1864, 302, 273, 4392, 6738, 1277, 353, 9039, 3179, 19, 204, 5526, 19, 334, 1864, 302, 275, 1034, 302, 496, 13708, 353, 34767, 5223, 19, 3179, 19, 204, 5526, 4658, 275, 700, 302, 468, 17, 1101, 382, 1583, 508, 5190, 275, 15715, 302, 275, 4392, 19, 204, 204, 777, 1036, 19, 2935, 353, 275, 3351, 302, 273, 6871, 9390, 204, 204, 46, 19, 334, 1864, 302, 848, 3469, 302, 275, 6871, 353, 5737, 2415, 6166, 19, 204, 70, 23, 289, 5737, 17, 273, 289, 1132, 309, 204, 14562, 289, 322, 29, 2771, 1132, 2771, 1132, 14, 309, 24, 289, 12251, 309, 24, 204, 5526, 19, 334, 1277, 302, 1051, 1653, 302, 275, 6871, 353, 1132, 6166, 19, 204, 70, 289, 1132, 309, 204, 14562, 289, 322, 29, 2771, 1132, 2771, 1132, 14, 309, 24, 289, 12251, 309, 24, 0, 673, 1844, 353, 1465, 41066, 275, 4818, 388, 8390, 12133, 529, 21391, 7, 1025, 1043, 18, 1115, 16417, 3975, 19, 204, 204, 673, 1706, 7619, 353, 31, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 204, 204, 1834, 3210, 31, 3065, 2560, 5805, 496, 353, 1855, 273, 7781, 329, 273, 7636, 19, 204, 204, 3837, 353, 508, 6717, 448, 31, 1960, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 204, 204, 673, 5127, 353, 496, 275, 970, 39988, 529, 508, 41608, 6414, 19, 334, 1043, 1051, 353, 3597, 397, 329, 1698, 397, 1422, 353, 630, 3406, 1051, 7781, 496, 353, 273, 7636, 19, 334, 1350, 1051, 353, 3597, 397, 1422, 353, 273, 7781, 496, 353, 273, 7636, 17, 1101, 490, 353, 1425, 3597, 397, 1422, 353, 5805, 496, 353, 508, 273, 7781, 17, 2404, 13885, 39988, 529, 3597, 397, 1017, 35483, 35656, 353, 7463, 19, 204, 204, 3070, 1763, 17, 275, 4818, 388, 2768, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 7, 353, 3597, 348, 273, 6549, 17, 2404, 397, 275, 6549, 353, 273, 7781, 322, 9798, 490, 353, 508, 659, 1675, 490, 353, 273, 7636, 322, 9798, 490, 353, 789, 3355, 17, 808, 4818, 1583, 508, 17915, 1173, 275, 5268, 302, 388, 8390, 12133, 529, 21391, 528, 2404, 490, 353, 3597, 348, 5337, 496, 529, 508, 12133, 19, 204, 204, 837, 10420, 17, 275, 4818, 388, 2768, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 7, 353, 1698, 3597, 397, 1422, 353, 5805, 496, 353, 1855, 273, 7781, 329, 273, 7636, 17, 928, 17915, 4504, 275, 5268, 302, 388, 8390, 12133, 529, 21391, 2948, 716, 204, 1449, 17886, 275, 2712, 17, 2506, 275, 2631, 31, 204, 204, 15, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 2395, 353, 3597, 397, 329, 1698, 397, 1422, 353, 630, 3406, 1051, 7781, 496, 353, 273, 7636, 19, 204, 15, 1960, 231, 93, 64, 37062, 13, 93, 14, 8473, 13699, 13, 93, 2395, 353, 3597, 397, 1422, 353, 273, 7781, 496, 353, 273, 7636, 17, 521, 397, 1422, 353, 5805, 496, 353, 508, 273, 7781, 19, 204, 204, 4356, 17, 275, 1706, 7619, 302, 388, 8390, 12133, 529, 21391, 7, 353, 1960, 231, 93, 64, 37062, 13, 93, 14, 22056, 13699, 13, 93, 26886, 0, 658, 2026, 311, 888, 15608, 1408, 204, 204, 23865, 16772, 618, 444, 7249, 974, 273, 3277, 1216, 19, 334, 896, 353, 311, 1043, 1020, 1051, 2847, 302, 273, 800, 542, 329, 1675, 4122, 496, 700, 560, 275, 6736, 5050, 19, 204, 204, 1449, 1020, 1051, 2847, 302, 273, 542, 17, 3281, 275, 542, 560, 1607, 19, 1058, 1120, 5190, 872, 273, 4048, 700, 496, 4504, 1051, 2847, 19, 204, 204, 1380, 1165, 368, 31, 12819, 2753, 10, 302, 13205, 1036, 204, 204, 22, 19, 1752, 1051, 2847, 302, 13205, 1036, 560, 8631, 13205, 1036, 560, 1607, 31, 13205, 1036, 7410, 1607, 289, 13205, 21, 19, 1036, 204, 23, 19, 8838, 13205, 21, 19, 1036, 560, 2753, 311, 1020, 2753, 10, 302, 13205, 1036, 31, 13205, 21, 19, 1036, 2771, 2753, 289, 13205, 21, 19, 1036, 2771, 322, 26, 2771, 931, 14, 289, 13205, 21, 19, 1036, 2771, 931, 289, 13205, 23, 19, 473, 17, 1675, 13205, 23, 19, 473, 2771, 720, 289, 13205, 1003, 19, 473, 204, 204, 2551, 17, 2753, 10, 302, 13205, 1036, 353, 13205, 1003, 19, 473, 19, 204, 204, 1380, 1165, 435, 31, 12819, 15338, 10, 302, 13205, 2500, 204, 204, 22, 19, 1752, 1051, 2847, 302, 13205, 2500, 560, 8631, 13205, 2500, 560, 1607, 31, 13205, 2500, 7410, 1607, 289, 13205, 21, 19, 2500, 204, 23, 19, 8838, 13205, 21, 19, 2500, 560, 15338, 311, 1020, 15338, 10, 302, 13205, 2500, 31, 13205, 21, 19, 2500, 2771, 15338, 289, 5478, 204, 204, 1449, 4122, 13205, 21, 19, 2500, 560, 15338, 17, 490, 677, 9509, 311, 2280, 1873, 15338, 1025, 19486, 3857, 17, 1702, 448, 887, 329, 931, 322, 8500, 15338, 289, 887, 2771, 931, 465, 435, 659, 1101, 348, 12116, 329, 20040, 292, 4183, 17, 572, 6356, 17923, 440, 275, 3422, 6177, 19, 204, 204, 44477, 21, 19, 2500, 2771, 15338, 289, 13205, 2300, 19, 5303, 204, 204, 2551, 17, 15338, 10, 302, 13205, 2500, 353, 13205, 2300, 19, 5303, 19, 204, 204, 1380, 9592, 23069, 348, 13325, 15608, 1408, 204, 204, 22, 19, 930, 6431, 1051, 2847, 777, 302, 275, 800, 542, 560, 8631, 275, 542, 560, 1607, 19, 204, 23, 19, 930, 22496, 777, 275, 722, 560, 275, 5050, 872, 7188, 7595, 348, 311, 1020, 275, 6736, 5050, 302, 275, 2171, 542, 19, 204, 204, 1834, 1216, 5994, 348, 1169, 542, 329, 1169, 5050, 17, 4461, 490, 273, 48732, 5910, 348, 8397, 16772, 19, 0, 531, 4433, 68, 35192, 532, 42063, 204, 531, 26546, 532, 14983, 17, 40984, 204, 531, 26546, 19, 13722, 532, 38051, 17, 10217, 204, 204, 676, 48435, 31, 204, 264, 320, 204, 264, 2646, 273, 2875, 11667, 1184, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11667, 1184, 19, 204, 268, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 268, 7868, 322, 2107, 330, 2266, 275, 11667, 1184, 353, 7868, 19, 204, 264, 320, 204, 204, 0 ]

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

[ 0, 264, 436, 589, 924, 889, 327, 17, 1276, 31, 421, 17, 2342, 31, 394, 17, 7868, 31, 1109, 289, 1078, 330, 204, 268, 320, 204, 268, 1865, 273, 48435, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11667, 1184, 19, 204, 305, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 305, 7868, 322, 2107, 330, 2266, 275, 11667, 1184, 353, 7868, 19, 1243, 311, 1078, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 2749, 289, 2342, 204, 268, 370, 19, 15106, 289, 7868, 204, 204, 264, 436, 589, 6843, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 48435, 1014, 19, 204, 268, 320, 204, 268, 407, 283, 12, 34288, 4307, 13, 359, 2508, 327, 19, 359, 1522, 2342, 2508, 327, 19, 2749, 1522, 7868, 2508, 327, 19, 15106, 28011, 204, 204, 204, 676, 14050, 1218, 31, 204, 264, 320, 204, 264, 16318, 273, 458, 302, 11667, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 11667, 68, 1996, 322, 655, 330, 783, 302, 48435, 5644, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 14050, 1218, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 14387, 68, 1996, 289, 1306, 204, 268, 370, 19, 359, 68, 5951, 289, 368, 204, 204, 264, 436, 881, 68, 14387, 68, 1271, 13, 327, 17, 2342, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5276, 273, 717, 11667, 1184, 311, 275, 458, 19, 204, 204, 268, 457, 31, 204, 305, 2342, 322, 325, 330, 12616, 302, 275, 11667, 1184, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 48435, 1014, 329, 881, 490, 311, 275, 458, 204, 268, 717, 68, 14387, 68, 1271, 289, 48435, 13, 327, 19, 359, 68, 5951, 17, 2342, 14, 204, 268, 370, 19, 14387, 68, 1996, 19, 1223, 13, 1957, 68, 14387, 68, 1271, 14, 204, 268, 370, 19, 359, 68, 5951, 1412, 368, 204, 204, 264, 436, 636, 68, 14387, 68, 1996, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 475, 275, 458, 302, 11667, 2696, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 783, 302, 48435, 5644, 19, 204, 268, 320, 204, 268, 407, 370, 19, 14387, 68, 1996, 204, 204, 264, 436, 2434, 68, 14387, 68, 1271, 68, 402, 68, 15106, 13, 327, 17, 1276, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 26605, 273, 11667, 1184, 448, 7868, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 302, 275, 11667, 1184, 19, 204, 268, 320, 204, 268, 314, 1752, 275, 11667, 1184, 440, 275, 800, 1276, 329, 2434, 490, 448, 7868, 204, 268, 348, 11667, 68, 1271, 292, 370, 19, 14387, 68, 1996, 31, 204, 305, 397, 11667, 68, 1271, 19, 359, 564, 1276, 31, 204, 485, 11667, 68, 1271, 19, 15106, 289, 959, 204, 485, 2280, 204, 204, 204, 676, 14050, 2954, 13, 29456, 330, 204, 264, 320, 204, 264, 332, 798, 348, 4141, 717, 11667, 2696, 19, 204, 204, 264, 1532, 31, 204, 268, 2342, 322, 22286, 330, 334, 537, 1242, 348, 275, 11667, 1184, 2342, 19, 204, 268, 7868, 322, 10030, 330, 334, 24435, 311, 2434, 275, 11667, 1184, 448, 7868, 19, 204, 264, 320, 204, 264, 2342, 31, 14983, 289, 14983, 13, 204, 268, 379, 34288, 9342, 491, 716, 268, 10519, 3603, 19066, 2144, 10217, 13, 885, 34, 22, 17, 846, 34, 2051, 10354, 716, 268, 2111, 68, 18023, 10703, 8520, 559, 388, 4421, 5805, 2152, 6669, 204, 264, 1179, 204, 264, 7868, 31, 40984, 289, 40984, 611, 32397, 534, 204, 204, 264, 436, 589, 924, 889, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 1865, 273, 14050, 2954, 1014, 19, 204, 268, 320, 204, 268, 2234, 3853, 924, 14697, 1038, 17, 930, 2251, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 14050, 1218, 1014, 204, 264, 11667, 68, 655, 289, 14050, 1218, 374, 204, 204, 264, 314, 666, 273, 14050, 2954, 1014, 204, 264, 798, 289, 14050, 2954, 374, 204, 204, 264, 314, 1255, 273, 717, 11667, 1184, 974, 275, 798, 424, 204, 264, 397, 798, 19, 5542, 68, 271, 68, 10414, 1293, 204, 268, 11667, 68, 655, 19, 826, 68, 14387, 68, 1271, 13, 654, 19, 2749, 19, 481, 14, 204, 204, 264, 314, 1198, 275, 458, 302, 11667, 2696, 204, 264, 456, 13, 14387, 68, 655, 19, 505, 68, 14387, 68, 1996, 1447, 204, 204, 264, 314, 5979, 273, 11667, 1184, 448, 7868, 204, 264, 11667, 68, 655, 19, 2472, 68, 14387, 68, 1271, 68, 402, 68, 15106, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 2908, 458, 302, 11667, 2696, 204, 264, 456, 13, 14387, 68, 655, 19, 505, 68, 14387, 68, 1996, 1447, 204, 0, 10936, 26091, 25795, 15591, 204, 204, 673, 800, 1561, 869, 437, 3594, 26091, 25795, 302, 31, 204, 58, 289, 548, 21, 465, 382, 21, 15, 55, 23, 465, 500, 15, 55, 24, 204, 34, 548, 21, 465, 382, 21, 15, 55, 23, 204, 204, 1449, 3126, 5566, 361, 22, 11155, 2964, 26004, 311, 275, 3594, 26091, 25795, 17, 2249, 677, 7009, 275, 6783, 19, 716, 204, 5681, 7595, 630, 275, 31895, 332, 329, 565, 17, 1250, 1698, 3020, 275, 6264, 302, 548, 21, 9729, 275, 5790, 5229, 361, 23, 19, 334, 5790, 5229, 361, 22, 2560, 17, 1101, 490, 5409, 2964, 874, 437, 5800, 523, 275, 31895, 19, 1547, 2842, 15888, 275, 3836, 2712, 5229, 275, 790, 2139, 19, 716, 204, 1449, 949, 275, 3594, 26091, 25795, 17, 572, 618, 1066, 275, 29977, 3332, 275, 3546, 497, 565, 311, 332, 31, 204, 18, 58, 21, 338, 382, 21, 15, 55, 23, 465, 500, 15, 55, 24, 465, 548, 289, 500, 204, 58, 289, 548, 21, 465, 382, 21, 15, 55, 23, 204, 204, 2310, 618, 1425, 5620, 275, 6783, 560, 31, 204, 22, 19, 17292, 299, 685, 275, 1085, 440, 1236, 0 ]

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

[ 0, 790, 21418, 322, 10936, 6783, 14, 2090, 361, 24, 19, 204, 23, 19, 17292, 299, 685, 275, 361, 1019, 292, 3196, 440, 273, 790, 2139, 2090, 361, 22, 17, 2404, 490, 869, 1236, 2620, 523, 275, 6264, 5790, 523, 361, 23, 292, 496, 2875, 3546, 19, 204, 204, 3609, 8205, 754, 17, 572, 618, 3020, 496, 361, 22, 1583, 508, 14863, 311, 275, 3594, 26091, 25795, 19, 334, 6264, 5229, 361, 22, 1583, 1337, 17, 1101, 490, 1583, 508, 4767, 275, 6264, 9140, 5229, 31895, 332, 329, 565, 19, 0, 531, 1498, 532, 1535, 17, 783, 204, 204, 676, 4534, 31, 204, 264, 320, 204, 264, 2646, 273, 944, 292, 275, 510, 1561, 17, 928, 618, 444, 4260, 273, 510, 521, 273, 1445, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 353, 68, 553, 31, 1109, 330, 204, 268, 320, 204, 268, 977, 273, 717, 4534, 440, 275, 800, 588, 329, 1187, 322, 553, 521, 1445, 789, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 944, 19, 204, 305, 353, 68, 553, 322, 2107, 330, 2266, 275, 944, 4504, 273, 510, 521, 273, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2387, 289, 3026, 397, 353, 68, 553, 902, 443, 204, 268, 370, 19, 7507, 289, 2087, 397, 508, 353, 68, 553, 902, 443, 204, 268, 370, 19, 360, 68, 553, 289, 353, 68, 553, 204, 204, 204, 676, 31346, 31, 204, 264, 320, 204, 264, 18712, 273, 510, 1561, 440, 4802, 2758, 2090, 4141, 7887, 17, 5209, 1666, 311, 1860, 17, 329, 4488, 1666, 497, 1860, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 273, 717, 31346, 440, 273, 1610, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 4534, 31598, 1078, 14, 204, 204, 264, 436, 26673, 13, 327, 17, 832, 31, 394, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 275, 4578, 302, 275, 1445, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 1445, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 332, 458, 302, 510, 329, 1445, 1987, 292, 275, 1445, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 832, 1583, 508, 1337, 521, 353, 273, 510, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 546, 14, 204, 268, 397, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 273, 510, 431, 204, 268, 407, 2282, 13, 655, 13, 1241, 19, 7507, 19, 3261, 5887, 204, 204, 264, 436, 34245, 1217, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 1445, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 717, 1445, 19, 204, 268, 320, 204, 268, 370, 19, 505, 68, 1241, 13, 546, 17, 353, 68, 553, 34, 1975, 14, 204, 204, 264, 436, 11108, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 717, 510, 19, 204, 268, 320, 204, 268, 370, 19, 505, 68, 1241, 13, 546, 17, 353, 68, 553, 34, 1021, 14, 204, 204, 264, 436, 881, 68, 2387, 68, 633, 68, 553, 13, 327, 17, 510, 68, 546, 31, 394, 17, 1666, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1255, 1666, 311, 275, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 305, 1666, 322, 325, 330, 334, 1666, 311, 881, 311, 275, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 510, 1583, 508, 1337, 521, 275, 832, 353, 273, 1445, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 553, 68, 546, 14, 204, 268, 397, 508, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 508, 273, 510, 431, 204, 268, 944, 19, 2387, 1412, 1666, 204, 204, 264, 436, 1151, 68, 2387, 68, 531, 68, 553, 13, 327, 17, 510, 68, 546, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 1606, 275, 1666, 302, 275, 510, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1666, 302, 275, 510, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 510, 1583, 508, 1337, 521, 275, 832, 353, 273, 1445, 19, 204, 268, 320, 204, 268, 944, 289, 370, 19, 505, 68, 1241, 13, 553, 68, 546, 14, 204, 268, 397, 508, 944, 19, 360, 68, 553, 31, 204, 305, 980, 987, 499, 4203, 353, 508, 273, 510, 431, 204, 268, 407, 944, 19, 2387, 204, 204, 264, 436, 636, 68, 1241, 13, 327, 17, 832, 31, 394, 17, 353, 68, 553, 31, 1535, 64, 2107, 66, 289, 443, 14, 393, 4534, 31, 204, 268, 320, 204, 268, 763, 275, 4534, 630, 275, 800, 832, 19, 204, 204, 268, 457, 31, 204, 305, 832, 322, 325, 330, 334, 832, 311, 275, 944, 19, 204, 305, 353, 68, 553, 322, 4437, 64, 2107, 1037, 2266, 275, 944, 1856, 444, 273, 510, 19, 1243, 311, 443, 19, 204, 204, 268, 475, 31, 204, 305, 4534, 31, 334, 944, 630, 275, 800, 832, 19, 204, 268, 320, 204, 268, 314, 3736, 275, 832, 1025, 4550, 204, 268, 832, 68, 7027, 289, 832, 19, 1590, 19255, 204, 204, 268, 314, 4055, 630, 275, 1610, 944, 204, 268, 790, 68, 1241, 289, 370, 19, 2125, 204, 204, 268, 314, 16165, 275, 832, 4550, 204, 268, 348, 4781, 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, 832, 68, 7027, 31, 204, 305, 397, 1245, 13, 8264, 14, 1323, 500, 31, 204, 485, 314, 828, 275, 4781, 1583, 508, 1337, 17, 838, 490, 204, 485, 397, 4781, 508, 292, 790, 68, 1241, 19, 7507, 31, 204, 895, 790, 68, 1241, 19, 7507, 64, 8264, 66, 289, 4534, 13, 8264, 17, 1078, 14, 204, 485, 314, 5360, 311, 275, 1682, 944, 204, 485, 790, 68, 1241, 289, 790, 68, 1241, 19, 7507, 64, 8264, 66, 204, 204, 268, 314, 828, 275, 944, 1187, 353, 1713, 17, 1395, 490, 204, 268, 397, 353, 68, 553, 353, 508, 443, 31, 204, 305, 790, 68, 1241, 19, 360, 68, 553, 289, 353, 68, 553, 204, 305, 314, 828, 275, 944, 353, 273, 510, 17, 3142, 1163, 2804, 204, 305, 397, 353, 68, 553, 31, 204, 485, 790, 68, 1241, 19, 7507, 289, 443, 204, 485, 790, 68, 1241, 19, 2387, 289, 3026, 204, 305, 314, 828, 275, 944, 353, 273, 1445, 17, 3142, 1163, 1666, 204, 305, 902, 31, 204, 485, 790, 68, 1241, 19, 2387, 289, 443, 204, 204, 268, 407, 790, 68, 1241, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 17382, 289, 31346, 374, 204, 264, 17382, 19, 13986, 499, 1217, 22, 431, 204, 264, 17382, 19, 13986, 499, 1217, 22, 20, 1217, 23, 431, 204, 264, 17382, 19, 26270, 499, 553, 22, 431, 204, 264, 17382, 19, 826, 68, 2387, 68, 633, 68, 553, 499, 553, 22, 528, 388, 5975, 17, 5179, 5397, 204, 264, 456, 13, 6340, 19, 976, 68, 2387, 68, 531, 68, 553, 499, 553, 22, 3687, 226, 314, 3215, 31, 25639, 17, 5179, 6, 204, 264, 456, 13, 6340, 19, 3391, 6343, 3687, 226, 314, 3215, 31, 2470, 1217, 22, 491, 379, 553, 22, 839, 204, 264, 456, 13, 6340, 19, 3391, 6343, 1217, 22, 3687, 226, 314, 3215, 31, 2470, 1217, 23, 839, 204, 0, 673, 1917, 1576, 6644, 311, 444, 273, 628, 11595, 322, 22910, 11490, 348, 18190, 14, 3467, 7784, 311, 1900, 329, 2616, 11192, 5537, 302, 1552, 1233, 19, 332, 11192, 2415, 353, 273, 2415, 2333, 9492, 440, 7656, 2140, 1892, 292, 275, 933, 497, 368, 311, 300, 67, 23, 1702, 496, 848, 2092, 3192, 273, 1792, 1534, 329, 275, 1066, 302, 275, 1892, 292, 848, 1237, 17, 1837, 17, 329, 8166, 353, 1936, 19, 204, 204, 5399, 677, 273, 10341, 11414, 302, 275, 1576, 31, 204, 204, 22, 19, 930, 6238, 1613, 1416, 334, 3467, 7036, 560, 20148, 4569, 6946, 329, 2558, 19, 1547, 3416, 719, 6946, 1758, 70, 22, 7147, 1758, 70, 7147, 1758, 71, 7147, 1758, 71, 22, 7147, 329, 1758, 72, 69, 311, 5148, 275, 886, 368, 1924, 13548, 17, 928, 1120, 444, 1376, 311, 1900, 275, 11192, 2415, 19, 204, 204, 23, 19, 930, 8952, 13818, 1416, 334, 3467, 1675, 21311, 273, 3546, 496, 6944, 8697, 31950, 3070, 781, 2051, 289, 435, 2416, 435, 69, 789, 34691, 808, 3546, 17, 490, 8321, 311, 1900, 273, 11192, 2415, 560, 33746, 886, 311, 275, 1348, 1758, 70, 69, 1609, 523, 4153, 4042, 19, 204, 204, 24, 19, 930, 39, 1115, 14373, 344, 1416, 334, 3467, 17469, 275, 22574, 302, 275, 11192, 2415, 560, 9101, 348, 2755, 886, 292, 275, 1348, 1758, 71, 22, 69, 329, 33746, 1475, 311, 275, 1348, 1758, 70, 6557, 1547, 7036, 497, 275, 13303, 329, 5994, 1163, 2501, 292, 3998, 19, 204, 204, 25, 19, 930, 6143, 28817, 1416, 13128, 273, 3836, 1988, 353, 1193, 17, 275, 3467, 5377, 397, 275, 1988, 3192, 1169, 13341, 886, 19, 828, 490, 1583, 17, 275, 1988, 353, 19884, 19, 204, 204, 26, 19, 930, 34373, 17157, 1416, 828, 273, 1097, 1988, 353, 1193, 17, 275, 3467, 5538, 275, 1988, 311, 275, 20109, 19, 1547, 618, 456, 4260, 275, 4285, 886, 521, 275, 5641, 11192, 2415, 19, 204, 204, 27, 19, 930, 57, 12524, 1416, 334, 3467, 19722, 3234, 302, 275, 690, 490, 5178, 311, 1523, 329, 275, 542, 302, 5169, 1193, 19, 1547, 12784, 808, 1483, 292, 273, 943, 2871, 630, 275, 1136, 19, 204, 204, 673, 1576, 353, 9395, 3700, 329, 6644, 311, 444, 18972, 348, 5956, 19, 3355, 17, 2900, 1182, 2085, 521, 273, 2824, 2717, 1465, 275, 1576, 17, 490, 677, 5362, 311, 1308, 5395, 4249, 521, 11414, 19, 204, 204, 5399, 677, 273, 10341, 2585, 302, 275, 1576, 496, 19236, 523, 9471, 273, 11192, 2415, 302, 1552, 1233, 31, 204, 3691, 91, 71, 204, 3488, 2069, 25266, 16109, 374, 204, 264, 412, 449, 273, 13, 22, 2416, 1233, 17, 368, 2416, 1233, 14, 3242, 11143, 204, 264, 412, 449, 296, 17, 781, 17, 771, 3242, 11143, 204, 615, 264, 771, 289, 368, 204, 264, 1765, 296, 289, 368, 2416, 1233, 204, 268, 1765, 781, 289, 368, 2416, 1233, 204, 305, 273, 13, 78, 17, 781, 14, 289, 771, 204, 305, 771, 289, 771, 465, 368, 204, 268, 17801, 781, 204, 264, 17801, 296, 204, 615, 264, 379, 1198, 275, 11192, 2415, 204, 264, 1765, 296, 289, 368, 2416, 1233, 204, 268, 1765, 781, 289, 368, 2416, 1233, 204, 305, 41476, 13, 78, 17, 781, 789, 4545, 289, 273, 13, 78, 17, 781, 14, 204, 268, 17801, 781, 204, 264, 17801, 296, 204, 10981, 3685, 204, 3691, 204, 1834, 1576, 12015, 273, 3277, 1233, 93, 30, 2333, 9492, 440, 886, 497, 368, 311, 13548, 17, 1101, 490, 1583, 508, 21672, 496, 275, 1066, 302, 848, 1237, 17, 1837, 17, 329, 8166, 1120, 444, 1936, 19, 2416, 1900, 273, 3597, 11192, 2415, 17, 872, 1784, 1519, 311, 3288, 273, 1182, 3700, 3372, 496, 15261, 275, 8598, 529, 1936, 19, 0, 531, 8632, 532, 8204, 204, 531, 1498, 532, 1535, 17, 783, 204, 204, 531, 15023, 4552, 19, 772, 19, 4608, 19, 1935, 532, 9533, 2628, 204, 204, 37, 6611, 204, 676, 9730, 4729, 17641, 31, 204, 264, 320, 204, 264, 1594, 676, 311, 1640, 3583, 348, 763, 17871, 37977, 958, 19, 204, 615, 264, 1532, 31, 204, 268, 3886, 68, 1915, 322, 325, 330, 3970, 348, 3886, 4192, 292, 275, 958, 19, 204, 264, 320, 204, 264, 3886, 68, 1915, 31, 394, 289, 379, 17871, 0 ]

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

[ 0, 31837, 12, 204, 204, 676, 763, 17871, 31837, 2628, 13, 16489, 2628, 330, 204, 264, 320, 204, 264, 4899, 850, 348, 763, 17871, 37977, 1893, 19, 204, 615, 264, 1532, 31, 204, 268, 881, 68, 3261, 322, 1218, 64, 325, 1037, 6119, 3583, 311, 444, 4327, 311, 275, 958, 19, 204, 268, 860, 68, 1618, 322, 1218, 64, 4437, 64, 932, 3795, 3685, 18, 1618, 348, 275, 958, 19, 204, 264, 320, 204, 264, 881, 68, 3261, 31, 783, 64, 325, 66, 289, 551, 17871, 4729, 17641, 1528, 7620, 68, 1915, 66, 204, 264, 314, 4496, 1535, 311, 8956, 496, 443, 353, 273, 1097, 700, 204, 264, 860, 68, 1618, 31, 783, 64, 4437, 64, 932, 2629, 289, 551, 3170, 66, 204, 204, 8, 1165, 1265, 31, 204, 461, 636, 68, 7620, 68, 1915, 68, 1935, 374, 393, 763, 17871, 31837, 2628, 31, 204, 264, 320, 204, 264, 475, 273, 1672, 763, 17871, 31837, 2628, 726, 19, 204, 615, 264, 475, 31, 204, 268, 763, 17871, 31837, 2628, 31, 332, 1672, 958, 726, 19, 204, 264, 320, 204, 264, 958, 289, 763, 17871, 31837, 2628, 374, 204, 264, 958, 19, 826, 68, 3261, 289, 551, 17871, 4729, 17641, 1528, 7620, 68, 1915, 66, 204, 264, 407, 958, 204, 204, 8, 1295, 275, 741, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 958, 289, 636, 68, 7620, 68, 1915, 68, 1935, 374, 204, 264, 456, 13, 1935, 19, 826, 68, 3261, 14, 204, 0, 647, 304, 204, 204, 676, 7841, 1613, 53, 28596, 31, 204, 264, 320, 204, 264, 332, 850, 1174, 4217, 2231, 3758, 348, 41350, 19, 204, 204, 264, 1058, 850, 3629, 3758, 311, 2216, 10494, 2724, 17, 13136, 5453, 17, 329, 6943, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 7841, 1613, 53, 28596, 850, 560, 46441, 4217, 2231, 3758, 19, 204, 268, 320, 204, 268, 314, 21753, 311, 2216, 10494, 2724, 204, 268, 370, 19, 28868, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 12, 13607, 89, 65, 91, 65, 75, 65, 87, 2437, 24580, 204, 268, 320, 204, 268, 43532, 1051, 521, 1182, 10494, 2724, 19, 204, 268, 320, 204, 204, 268, 314, 21753, 311, 2216, 13136, 5453, 204, 268, 370, 19, 20409, 68, 2196, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 17081, 8, 64, 688, 89, 15862, 20409, 64, 688, 89, 15862, 3603, 688, 89, 66, 10970, 36, 53, 33, 20409, 2441, 35, 14415, 15, 35624, 204, 268, 320, 204, 268, 43532, 437, 13136, 1354, 292, 275, 1883, 10416, 13136, 289, 962, 2441, 35, 2625, 204, 268, 320, 204, 204, 268, 314, 21753, 311, 2216, 6943, 204, 268, 370, 19, 6324, 68, 4745, 31, 304, 19, 16983, 289, 304, 19, 7354, 13, 87, 17081, 8, 9371, 35624, 204, 268, 320, 204, 268, 43532, 273, 3777, 4145, 440, 10416, 2625, 204, 268, 320, 204, 204, 264, 436, 2216, 68, 28868, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 10494, 2724, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 10494, 2724, 529, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 10494, 2724, 204, 268, 407, 370, 19, 28868, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 2216, 68, 20409, 68, 2196, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 437, 13136, 1354, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 437, 13136, 1354, 353, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 437, 13136, 1354, 204, 268, 407, 370, 19, 20409, 68, 2196, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 264, 436, 2216, 68, 6324, 13, 327, 17, 537, 68, 1031, 31, 394, 14, 393, 304, 19, 15369, 31, 204, 268, 320, 204, 268, 43532, 273, 3777, 292, 275, 537, 782, 19, 204, 204, 268, 457, 31, 204, 305, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 2216, 19, 204, 204, 268, 475, 31, 204, 305, 304, 19, 15369, 31, 334, 2216, 726, 397, 273, 3777, 353, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 314, 3289, 311, 2216, 273, 3777, 204, 268, 407, 370, 19, 6324, 68, 4745, 19, 4054, 13, 768, 68, 1031, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 7841, 1613, 53, 28596, 850, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1014, 302, 275, 7841, 1613, 53, 28596, 850, 204, 268, 3758, 289, 7841, 1613, 53, 28596, 374, 204, 204, 268, 314, 1295, 275, 3758, 204, 268, 456, 499, 46655, 10494, 2724, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 28868, 499, 262, 4091, 204, 204, 268, 456, 3273, 83, 46655, 13136, 1354, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 20409, 68, 2196, 20997, 13136, 289, 2104, 3687, 204, 204, 268, 456, 3273, 83, 46655, 3777, 2212, 204, 268, 456, 13, 4918, 19, 4054, 68, 6324, 20997, 1058, 353, 273, 3777, 3687, 204, 264, 827, 304, 19, 718, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 46441, 4217, 2231, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 11609, 204, 647, 2164, 204, 647, 1400, 204, 647, 782, 204, 531, 11609, 19, 1549, 532, 5453, 204, 204, 676, 32732, 13, 6792, 19, 28886, 330, 204, 264, 320, 204, 264, 332, 22088, 348, 9819, 5453, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 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, 1363, 31, 5453, 19, 8759, 330, 204, 268, 320, 204, 268, 977, 275, 32732, 22088, 19, 204, 204, 268, 457, 31, 204, 305, 1363, 322, 6792, 19, 8759, 330, 334, 1363, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 2511, 289, 1363, 204, 268, 370, 19, 935, 68, 24976, 289, 463, 204, 305, 388, 88, 4826, 559, 388, 3189, 1963, 656, 80, 865, 19, 8597, 20, 2005, 20, 91, 23, 20, 3371, 20, 88, 4826, 528, 204, 305, 388, 77, 811, 559, 388, 3189, 1963, 656, 80, 865, 19, 8597, 20, 2005, 20, 91, 23, 20, 3371, 20, 77, 811, 7, 204, 268, 1211, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 88, 4826, 528, 1340, 1022, 21983, 273, 297, 4826, 752, 431, 204, 264, 4470, 436, 297, 4826, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 575, 31, 11609, 19, 2491, 289, 443, 330, 204, 268, 320, 204, 268, 2878, 273, 297, 4826, 752, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 575, 322, 18591, 19, 2491, 17, 1448, 330, 334, 575, 311, 297, 4826, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 4177, 370, 19, 3345, 68, 935, 13, 11721, 17, 388, 88, 4826, 528, 283, 1954, 11721, 19, 4020, 19, 23666, 98, 8533, 3296, 463, 816, 19, 23666, 23214, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 77, 811, 528, 1340, 1022, 21983, 273, 373, 811, 752, 431, 204, 264, 4470, 436, 373, 811, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 575, 31, 11609, 19, 2491, 289, 443, 330, 204, 268, 320, 204, 268, 2878, 273, 373, 811, 752, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 575, 322, 18591, 19, 2491, 17, 1448, 330, 334, 575, 311, 373, 811, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 4177, 370, 19, 3345, 68, 935, 13, 11721, 17, 388, 77, 811, 528, 283, 1954, 11721, 19, 4020, 19, 23666, 98, 373, 811, 2669, 463, 816, 19, 23666, 23214, 204, 204, 264, 1642, 6792, 19, 2196, 13, 417, 1022, 47996, 295, 528, 1340, 1022, 21863, 273, 1400, 41359, 295, 1576, 431, 204, 264, 4470, 436, 14499, 295, 68, 2196, 13, 327, 17, 7773, 31, 5453, 19, 6569, 330, 204, 268, 320, 204, 268, 2069, 273, 1400, 41359, 295, 1576, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 1400, 41359, 295, 1576, 204, 268, 1576, 289, 13080, 1541, 13, 2017, 19, 10481, 13, 1031, 19, 9601, 68, 10576, 465, 782, 19, 5931, 17, 724, 34, 1845, 602, 204, 268, 4177, 7773, 19, 3345, 13, 75, 7, 3189, 1963, 18591, 19, 35961, 4235, 1181, 743, 204, 204, 264, 4470, 436, 2566, 68, 935, 13, 327, 17, 7773, 31, 5453, 19, 6569, 17, 752, 68, 932, 31, 394, 17, 2342, 31, 394, 330, 204, 268, 320, 204, 268, 2878, 437, 752, 497, 275, 800, 4584, 19, 204, 204, 268, 457, 31, 204, 305, 7773, 322, 6792, 19, 6569, 330, 334, 1354, 2085, 19, 204, 305, 752, 68, 932, 322, 325, 330, 334, 1187, 302, 752, 311, 2566, 322, 74, 19, 76, 19, 388, 88, 4826, 528, 388, 77, 811, 5561, 204, 305, 2342, 322, 325, 330, 334, 2342, 302, 275, 752, 19, 204, 268, 320, 204, 268, 314, 763, 275, 752, 4584, 204, 268, 4584, 289, 370, 19, 935, 68, 24976, 19, 505, 13, 935, 68, 932, 14, 204, 268, 397, 4584, 353, 443, 31, 204, 305, 4177, 7773, 19, 3345, 499, 1962, 752, 1187, 431, 204, 305, 407, 204, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 752, 4584, 204, 305, 958, 289, 2164, 19, 505, 13, 8155, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 305, 1875, 68, 481, 289, 958, 19, 1775, 374, 204, 305, 314, 666, 437, 3876, 440, 275, 752, 204, 305, 3876, 289, 11609, 19, 14009, 13, 2749, 34, 2749, 17, 1848, 34, 21, 93, 3145, 14, 204, 305, 3876, 19, 574, 68, 935, 13, 805, 34, 1775, 68, 481, 1166, 805, 3808, 204, 305, 4177, 7773, 19, 3345, 13, 4471, 34, 4471, 14, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 1426, 1169, 824, 2805, 204, 305, 4177, 7773, 19, 3345, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 461, 3219, 13, 2511, 31, 5453, 19, 8759, 330, 204, 264, 320, 204, 264, 1359, 719, 275, 32732, 22088, 19, 204, 204, 264, 457, 31, 204, 268, 1363, 322, 6792, 19, 8759, 330, 334, 1363, 1014, 19, 204, 264, 320, 204, 264, 1363, 19, 826, 68, 25056, 13, 43, 350, 13, 2511, 602, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 531, 1907, 19, 2918, 19, 492, 532, 26961, 204, 204, 676, 5310, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 1351, 440, 1163, 588, 17, 2342, 17, 2297, 17, 329, 752, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 1351, 19, 204, 268, 2342, 322, 325, 330, 332, 8987, 2342, 302, 275, 1351, 19, 204, 268, 2297, 322, 996, 330, 334, 2297, 302, 275, 1351, 19, 204, 268, 752, 322, 325, 330, 334, 752, 302, 275, 1351, 19, 204, 268, 7286, 322, 325, 330, 332, 2220, 7286, 348, 275, 1351, 19, 204, 264, 320, 204, 204, 264, 588, 289, 1094, 19, 2580, 13, 204, 268, 2874, 68, 417, 833, 6902, 4014, 491, 204, 268, 846, 68, 1205, 34, 5758, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 204, 264, 1179, 204, 264, 2342, 289, 1094, 19, 7320, 13, 204, 268, 2874, 68, 417, 833, 6902, 12616, 491, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 846, 68, 1205, 34, 5758, 204, 264, 1179, 204, 264, 2297, 289, 1094, 19, 14192, 13, 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, 2874, 68, 417, 833, 6902, 10864, 491, 204, 268, 846, 68, 5931, 34, 1003, 17, 204, 268, 4048, 68, 10474, 34, 23, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 204, 264, 1179, 204, 264, 752, 289, 1094, 19, 12043, 13, 204, 268, 2874, 68, 417, 833, 6902, 3207, 491, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 5991, 68, 633, 833, 7297, 20, 2936, 12, 204, 264, 1179, 204, 264, 7286, 289, 1094, 19, 29752, 13, 204, 268, 2874, 68, 417, 833, 6902, 15082, 811, 491, 204, 268, 846, 68, 1205, 34, 5758, 17, 204, 268, 4247, 34, 1021, 17, 204, 268, 3749, 34, 1021, 17, 204, 268, 2220, 34, 1021, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1351, 19, 204, 268, 320, 204, 268, 407, 370, 19, 417, 521, 379, 58, 433, 23555, 5310, 12, 204, 204, 264, 436, 2106, 13, 327, 17, 540, 1038, 17, 930, 2251, 330, 204, 268, 320, 204, 268, 9716, 275, 1351, 1014, 311, 275, 1104, 19, 204, 204, 268, 1058, 1216, 12015, 273, 2220, 7286, 348, 275, 1351, 397, 490, 5409, 2964, 1337, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 2220, 7286, 397, 490, 5409, 2964, 1337, 204, 268, 397, 508, 370, 19, 8420, 31, 204, 305, 370, 19, 8420, 289, 26961, 13, 327, 19, 417, 14, 204, 204, 268, 314, 3866, 275, 2297, 204, 268, 397, 370, 19, 2895, 329, 370, 19, 2895, 962, 500, 31, 204, 305, 980, 6630, 499, 12998, 2950, 444, 2917, 431, 204, 204, 268, 314, 4889, 275, 2260, 677, 2106, 1216, 204, 268, 2234, 1528, 2360, 4934, 1038, 17, 930, 2251, 14, 204, 204, 264, 436, 3106, 13, 327, 330, 204, 268, 320, 204, 268, 25027, 329, 16340, 275, 1351, 1014, 2518, 7770, 19, 204, 268, 320, 204, 268, 314, 3866, 275, 2297, 204, 268, 397, 370, 19, 2895, 329, 370, 19, 2895, 962, 500, 31, 204, 305, 980, 6630, 499, 12998, 2950, 444, 2917, 431, 204, 204, 268, 314, 3866, 275, 752, 204, 268, 397, 370, 19, 935, 329, 508, 370, 19, 935, 19, 417, 19, 9641, 13, 7542, 5684, 491, 3759, 17997, 491, 3759, 4955, 491, 3759, 18602, 491, 3759, 31160, 491, 3759, 37343, 25843, 204, 305, 980, 6630, 499, 1962, 752, 1883, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 1907, 19, 1234, 19, 13906, 532, 2428, 68, 2196, 204, 264, 497, 1907, 19, 1234, 19, 13906, 19, 772, 532, 38322, 204, 204, 264, 850, 8476, 13, 38568, 330, 204, 268, 436, 2906, 13, 327, 17, 540, 1038, 17, 930, 4018, 330, 204, 305, 314, 666, 273, 717, 1351, 204, 305, 1351, 289, 5310, 13, 204, 485, 588, 833, 2346, 5310, 491, 204, 485, 2342, 833, 1834, 353, 273, 683, 1351, 491, 204, 485, 2297, 34, 1003, 19, 2418, 17, 204, 485, 752, 833, 7297, 20, 2936, 20, 804, 19, 5684, 12, 204, 305, 1179, 204, 305, 1351, 19, 2360, 374, 204, 204, 305, 314, 1198, 275, 1351, 677, 3695, 204, 305, 456, 13, 2572, 19, 417, 14, 204, 305, 456, 13, 2572, 19, 2749, 14, 204, 305, 456, 13, 2572, 19, 2895, 14, 204, 305, 456, 13, 2572, 19, 935, 14, 204, 305, 456, 13, 2572, 19, 8420, 14, 204, 0, 647, 1437, 204, 531, 1437, 532, 7668, 204, 531, 1437, 532, 2839, 204, 204, 8, 4390, 2363, 43254, 3263, 204, 531, 300, 20657, 68, 1011, 3335, 532, 322, 204, 264, 43254, 68, 11684, 17, 204, 264, 43254, 68, 6995, 17, 204, 264, 43254, 68, 6938, 204, 14, 204, 204, 461, 838, 68, 13747, 68, 11783, 68, 4165, 13, 768, 68, 2230, 31, 421, 289, 1199, 17, 4213, 68, 2230, 31, 421, 289, 4236, 17, 919, 68, 2230, 31, 421, 289, 368, 14, 393, 2839, 19, 3732, 31, 204, 264, 320, 204, 264, 2605, 273, 11482, 5829, 2364, 440, 970, 4213, 4131, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 2230, 322, 339, 330, 334, 537, 5117, 302, 275, 2364, 19, 1243, 311, 1199, 19, 204, 268, 4213, 68, 2230, 322, 339, 330, 334, 5117, 302, 275, 4213, 4131, 19, 1243, 311, 4236, 19, 204, 268, 919, 68, 2230, 322, 339, 330, 334, 919, 5117, 302, 275, 2364, 19, 1243, 311, 368, 19, 204, 204, 264, 475, 31, 204, 268, 2839, 19, 3732, 31, 334, 1966, 5829, 2364, 19, 204, 264, 320, 204, 264, 314, 666, 273, 11482, 5829, 2364, 440, 970, 4213, 4131, 204, 264, 407, 2839, 19, 8790, 13, 204, 268, 2839, 19, 6446, 13, 768, 68, 2230, 17, 4213, 68, 2230, 659, 204, 268, 2839, 19, 11399, 2144, 204, 268, 2839, 19, 6446, 13, 5423, 68, 2230, 17, 4213, 68, 2230, 659, 204, 268, 2839, 19, 11399, 2144, 204, 268, 2839, 19, 6446, 13, 5423, 68, 2230, 17, 919, 68, 2230, 17, 6458, 34, 1975, 14, 204, 264, 1179, 204, 204, 461, 683, 68, 38550, 13, 3075, 31, 394, 17, 771, 68, 5749, 31, 421, 289, 1168, 17, 2068, 68, 835, 31, 421, 289, 14811, 14, 393, 443, 31, 204, 264, 320, 204, 264, 5458, 275, 43254, 302, 273, 11482, 5829, 2364, 523, 275, 1713, 2322, 19, 204, 204, 264, 457, 31, 204, 268, 2322, 322, 325, 330, 334, 2322, 311, 683, 523, 322, 6995, 521, 29218, 789, 204, 268, 771, 68, 5749, 322, 339, 330, 334, 542, 302, 6195, 311, 683, 19, 1243, 311, 1168, 19, 204, 268, 2068, 68, 835, 322, 339, 330, 334, 2068, 1302, 302, 275, 537, 424, 19, 1243, 311, 14811, 19, 204, 264, 320, 204, 264, 314, 1295, 275, 43254, 302, 275, 5829, 2364, 523, 275, 1713, 2322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 5749, 330, 204, 268, 570, 289, 838, 68, 13747, 68, 11783, 68, 4165, 374, 204, 268, 348, 906, 292, 933, 13, 920, 68, 5749, 330, 204, 305, 314, 2069, 1400, 537, 424, 204, 305, 537, 68, 481, 289, 1437, 19, 2329, 13, 2884, 68, 835, 17, 1199, 14, 204, 3123, 305, 314, 888, 275, 1812, 43254, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1812, 68, 38550, 289, 43254, 68, 11684, 13, 809, 17, 537, 68, 481, 14, 204, 3123, 305, 314, 5360, 275, 570, 329, 537, 424, 311, 275, 1713, 2322, 204, 305, 397, 2322, 564, 379, 6938, 597, 204, 485, 570, 289, 570, 19, 6938, 374, 204, 485, 537, 68, 481, 289, 537, 68, 481, 19, 6938, 374, 204, 485, 314, 888, 275, 3908, 43254, 523, 275, 29218, 2322, 204, 485, 3908, 68, 38550, 289, 43254, 68, 6938, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 485, 314, 5360, 275, 570, 329, 537, 424, 1818, 311, 275, 17577, 204, 485, 570, 289, 570, 19, 6995, 374, 204, 485, 537, 68, 481, 289, 537, 68, 481, 19, 6995, 374, 204, 305, 902, 31, 204, 485, 314, 888, 275, 3908, 43254, 523, 275, 17577, 204, 485, 3908, 68, 38550, 289, 43254, 68, 6995, 13, 809, 17, 537, 68, 481, 14, 204, 3123, 305, 314, 778, 397, 275, 1812, 329, 3908, 37290, 71, 4825, 529, 3671, 204, 305, 810, 31, 204, 485, 2136, 1437, 19, 23674, 13, 5477, 68, 38550, 17, 3908, 68, 38550, 14, 204, 305, 827, 15689, 31, 204, 485, 314, 3025, 275, 570, 329, 537, 424, 348, 17114, 204, 485, 1437, 19, 31238, 19, 2360, 13, 809, 17, 388, 12231, 68, 4165, 19, 2957, 431, 204, 485, 1437, 19, 2360, 13, 768, 68, 481, 17, 388, 12231, 68, 768, 19, 2957, 431, 204, 485, 980, 15689, 13, 75, 7, 47, 11419, 14488, 21925, 523, 2322, 463, 3075, 743, 204, 204, 461, 5344, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1998, 39653, 275, 43254, 21925, 560, 4644, 275, 6467, 570, 329, 537, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 6467, 570, 329, 537, 424, 204, 264, 570, 289, 1437, 19, 31238, 19, 986, 499, 12231, 68, 4165, 19, 2957, 431, 204, 264, 537, 68, 481, 289, 1437, 19, 986, 499, 12231, 68, 768, 19, 2957, 431, 204, 615, 264, 314, 5360, 275, 570, 329, 537, 424, 311, 275, 29218, 2322, 204, 264, 570, 289, 570, 19, 6938, 374, 204, 264, 537, 68, 481, 289, 537, 68, 481, 19, 6938, 374, 204, 615, 264, 314, 888, 275, 1812, 43254, 204, 264, 1812, 68, 38550, 289, 43254, 68, 11684, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 615, 264, 314, 888, 275, 3908, 43254, 523, 275, 29218, 2322, 204, 264, 3908, 68, 38550, 289, 43254, 68, 6938, 13, 809, 17, 537, 68, 481, 789, 6995, 374, 204, 615, 264, 314, 1198, 275, 6108, 1283, 275, 1812, 329, 3908, 37290, 71, 4825, 204, 264, 348, 296, 292, 933, 13, 5477, 68, 38550, 19, 835, 13, 21, 4019, 204, 268, 397, 508, 1437, 19, 23674, 13, 5477, 68, 38550, 64, 78, 648, 3908, 68, 38550, 64, 78, 1037, 204, 305, 348, 781, 292, 933, 13, 5477, 68, 38550, 19, 835, 13, 22, 4019, 204, 485, 397, 508, 1437, 19, 23674, 13, 5477, 68, 38550, 64, 78, 17, 781, 648, 3908, 68, 38550, 64, 78, 17, 781, 1037, 204, 895, 456, 13, 75, 7, 24887, 630, 1112, 8267, 78, 1522, 463, 79, 23474, 431, 204, 895, 456, 13, 75, 7, 11741, 31, 463, 5477, 68, 38550, 64, 78, 17, 781, 1664, 11380, 8050, 204, 895, 456, 13, 75, 7, 23693, 31, 463, 10609, 68, 38550, 64, 78, 17, 781, 1664, 11380, 8050, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 43254, 523, 275, 17577, 329, 29218, 7204, 204, 264, 683, 68, 38550, 611, 6995, 534, 204, 264, 683, 68, 38550, 611, 6938, 534, 204, 264, 314, 5344, 374, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4277, 19, 1486, 28231, 532, 31699, 8298, 204, 204, 461, 5327, 68, 1657, 68, 3282, 374, 393, 443, 31, 204, 264, 320, 204, 264, 16927, 275, 1807, 2557, 348, 4037, 12996, 19, 204, 204, 264, 1058, 741, 3416, 275, 4514, 329, 15185, 13576, 2557, 348, 275, 1807, 19, 204, 264, 320, 204, 264, 314, 1359, 1807, 10608, 348, 4037, 12996, 204, 264, 1513, 19, 33674, 736, 6823, 19, 88, 640, 18, 590, 403, 839, 289, 2470, 62, 70, 6031, 78, 852, 2880, 402, 8501, 14618, 839, 204, 264, 1513, 19, 33674, 736, 13352, 19, 20466, 68, 20977, 839, 289, 1078, 204, 204, 461, 5695, 68, 7230, 3021, 13, 204, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 300, 68, 7027, 31, 421, 289, 435, 17, 716, 264, 1400, 68, 1512, 31, 421, 289, 500, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 25682, 482, 275, 23601, 302, 275, 800, 9269, 974, 265, 18, 56, 8298, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 5695, 19, 204, 264, 338, 300, 68, 7027, 322, 339, 330, 334, 542, 302, 4550, 311, 5695, 311, 19, 1243, 311, 435, 19, 204, 264, 338, 1400, 68, 1512, 322, 339, 330, 334, 1400, 1259, 348, 17774, 19, 1243, 311, 500, 19, 204, 204, 264, 475, 31, 204, 264, 338, 645, 19, 766, 31, 334, 8016, 9269, 19, 204, 264, 320, 204, 264, 314, 666, 273, 31699, 8298, 1014, 440, 275, 800, 2072, 204, 264, 14018, 656, 289, 31699, 8298, 13, 83, 68, 7027, 34, 83, 68, 7027, 17, 1400, 68, 1512, 34, 2017, 68, 1512, 14, 204, 264, 314, 10083, 329, 3204, 275, 9269, 204, 264, 407, 14018, 656, 19, 2714, 68, 4072, 13, 10304, 14, 204, 204, 461, 1807, 68, 10304, 13, 204, 264, 1769, 31, 458, 64, 325, 648, 716, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 1724, 31, 394, 289, 388, 14009, 5507, 7, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 800, 9269, 440, 1017, 3310, 1769, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 1769, 322, 655, 64, 325, 1037, 334, 1769, 348, 275, 9269, 19, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 1807, 19, 204, 264, 338, 1724, 322, 325, 330, 334, 1724, 302, 275, 1807, 19, 1243, 311, 388, 14009, 5507, 2948, 204, 264, 320, 204, 264, 314, 666, 273, 11250, 0 ]

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

[ 0, 1807, 302, 275, 9269, 204, 264, 1513, 19, 10129, 13, 10304, 3460, 500, 648, 9269, 3460, 368, 694, 204, 264, 314, 45902, 848, 917, 440, 1163, 1800, 204, 264, 348, 1800, 17, 610, 17, 469, 292, 4337, 13, 2185, 17, 9269, 3460, 500, 648, 9269, 3460, 368, 1037, 204, 268, 1513, 19, 29924, 13, 1676, 17, 11412, 3644, 93, 17, 469, 659, 11412, 492, 3644, 21, 17, 500, 659, 1068, 8190, 833, 5911, 1728, 534, 204, 264, 314, 1359, 275, 1724, 302, 275, 1807, 204, 264, 1513, 19, 1778, 13, 1778, 14, 204, 264, 314, 6426, 275, 1807, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 2248, 68, 3450, 656, 13, 204, 264, 1769, 31, 458, 64, 325, 648, 716, 264, 9269, 31, 645, 19, 766, 17, 716, 264, 300, 68, 7027, 31, 421, 289, 435, 17, 716, 264, 1400, 68, 1512, 31, 421, 289, 500, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 25682, 482, 275, 23601, 302, 275, 800, 9269, 974, 265, 18, 56, 8298, 329, 11830, 1475, 19, 204, 204, 264, 4435, 31, 204, 264, 338, 1769, 322, 655, 64, 325, 1037, 334, 1769, 348, 275, 9269, 19, 204, 264, 338, 9269, 322, 1123, 19, 766, 330, 334, 9269, 311, 5695, 329, 1807, 19, 204, 264, 338, 300, 68, 7027, 322, 339, 330, 334, 542, 302, 4550, 311, 5695, 311, 19, 1243, 311, 435, 19, 204, 264, 338, 1400, 68, 1512, 322, 339, 330, 334, 1400, 1259, 348, 17774, 19, 1243, 311, 500, 19, 204, 264, 320, 204, 264, 314, 20310, 275, 23601, 302, 275, 9269, 204, 264, 8016, 68, 10304, 289, 5695, 68, 7230, 3021, 13, 10304, 17, 300, 68, 7027, 17, 1400, 68, 1512, 14, 204, 264, 314, 3045, 275, 8016, 9269, 204, 264, 1807, 68, 10304, 13, 2185, 17, 8016, 68, 10304, 17, 1724, 1022, 89, 18, 56, 8298, 16875, 5507, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 2248, 68, 3450, 656, 741, 19, 204, 264, 320, 204, 264, 314, 6153, 275, 1807, 2557, 204, 264, 5327, 68, 1657, 68, 3282, 374, 204, 264, 314, 1165, 1265, 204, 264, 1769, 289, 3134, 1676, 22, 528, 388, 1676, 23, 528, 388, 1676, 24, 1339, 204, 264, 9269, 289, 645, 19, 2017, 19, 2329, 13, 24, 17, 931, 14, 226, 314, 1165, 9269, 204, 264, 2248, 68, 3450, 656, 13, 2185, 17, 9269, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1400, 204, 204, 461, 8062, 68, 655, 13, 768, 68, 655, 31, 458, 64, 339, 694, 393, 458, 64, 339, 66, 1152, 443, 31, 204, 264, 320, 204, 264, 2541, 45165, 275, 537, 458, 292, 18, 1721, 329, 2584, 275, 21029, 458, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 655, 322, 655, 64, 339, 1037, 334, 458, 311, 444, 21029, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 66, 1152, 443, 31, 334, 21029, 458, 17, 521, 443, 397, 437, 908, 3459, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 4028, 302, 275, 537, 458, 311, 4516, 11227, 275, 2171, 458, 204, 268, 21029, 68, 655, 289, 537, 68, 655, 19, 3462, 374, 204, 268, 314, 1974, 275, 1400, 19, 12446, 741, 311, 8062, 275, 458, 292, 18, 1721, 204, 268, 1400, 19, 12446, 13, 36594, 68, 655, 14, 204, 268, 407, 21029, 68, 655, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 5976, 302, 9095, 490, 204, 268, 532, 1361, 204, 268, 1361, 19, 718, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 968, 273, 458, 302, 886, 204, 264, 886, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 17, 1132, 17, 1233, 66, 204, 264, 314, 19447, 275, 458, 329, 456, 275, 722, 204, 264, 21029, 68, 1630, 289, 8062, 68, 655, 13, 1630, 14, 204, 264, 397, 21029, 68, 1630, 353, 508, 443, 31, 204, 268, 456, 13, 36594, 68, 1630, 14, 204, 264, 902, 31, 204, 268, 456, 499, 3504, 311, 8062, 275, 458, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 6153, 1361, 204, 264, 532, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 8252, 14, 204, 264, 667, 374, 204, 0, 8, 5927, 34, 3102, 29, 204, 647, 7693, 204, 531, 1498, 532, 783, 204, 204, 676, 40455, 19626, 3715, 323, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 21679, 8917, 496, 15943, 9280, 5448, 329, 10614, 497, 275, 40455, 19626, 25141, 1472, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 8917, 19, 204, 268, 4675, 68, 14250, 322, 1218, 64, 325, 1037, 332, 458, 302, 4675, 15006, 348, 275, 8917, 19, 204, 268, 1012, 68, 3968, 322, 1218, 64, 325, 1037, 332, 458, 302, 5448, 311, 1012, 26575, 497, 19, 204, 264, 320, 204, 264, 588, 289, 388, 51, 290, 19626, 3715, 323, 7, 204, 264, 4675, 68, 14250, 289, 2470, 44878, 19, 80, 8349, 728, 82, 19, 1453, 839, 204, 264, 1012, 68, 3968, 289, 2470, 1942, 1963, 44878, 19, 80, 8349, 728, 82, 19, 1453, 20, 44878, 655, 20, 24, 20, 839, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 31, 7693, 19, 1942, 19, 2628, 14, 393, 443, 31, 204, 268, 320, 204, 268, 7483, 9280, 5448, 329, 10614, 497, 275, 958, 19, 204, 204, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 1942, 19, 2628, 330, 334, 958, 497, 275, 35231, 1274, 19, 204, 268, 320, 204, 268, 314, 1986, 9280, 5448, 329, 10614, 204, 268, 9280, 68, 481, 289, 370, 806, 5184, 68, 19203, 68, 481, 13, 1935, 14, 204, 268, 348, 9280, 292, 9280, 68, 481, 31, 204, 305, 456, 13, 75, 7, 21024, 1274, 31, 463, 19203, 736, 805, 18570, 13279, 31, 463, 19203, 736, 1778, 9436, 204, 204, 264, 436, 906, 5184, 68, 19203, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 481, 13, 327, 17, 958, 31, 7693, 19, 1942, 19, 2628, 14, 393, 783, 64, 873, 744, 204, 268, 320, 204, 268, 7483, 9280, 5448, 329, 10614, 497, 275, 958, 19, 204, 204, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 1942, 19, 2628, 330, 334, 958, 497, 275, 35231, 1274, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 873, 744, 332, 458, 302, 5239, 1174, 9280, 5448, 329, 10614, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 9280, 5448, 329, 10614, 974, 20054, 7277, 204, 305, 9280, 68, 3968, 289, 958, 19, 8022, 17528, 632, 20, 70, 64, 22, 8098, 37, 9919, 3930, 5184, 374, 204, 305, 9280, 68, 11941, 289, 958, 19, 8022, 17528, 632, 20, 70, 64, 22, 8098, 492, 24098, 5184, 374, 204, 204, 305, 314, 9587, 9280, 5448, 329, 10614, 1025, 273, 458, 302, 5239, 204, 305, 9280, 68, 481, 289, 551, 204, 485, 463, 204, 895, 379, 805, 597, 379, 1942, 1963, 44878, 19, 80, 8349, 728, 82, 19, 1453, 12, 465, 1779, 17, 204, 895, 379, 1778, 597, 1724, 204, 485, 1211, 204, 485, 348, 1779, 17, 1724, 292, 4337, 13, 19203, 68, 3968, 17, 9280, 68, 11941, 14, 204, 305, 2437, 204, 204, 305, 407, 9280, 68, 481, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 2175, 275, 908, 329, 407, 437, 1392, 458, 204, 305, 370, 19, 3342, 19, 718, 13, 75, 7, 596, 16997, 9280, 424, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 7693, 19, 20163, 532, 30213, 204, 204, 264, 1352, 289, 30213, 374, 204, 264, 1352, 19, 22662, 13, 51, 290, 19626, 3715, 323, 13109, 14, 204, 264, 1352, 19, 1530, 374, 204, 0, 658, 47829, 18, 47326, 10523, 348, 28970, 27092, 292, 4847, 204, 673, 47829, 18, 47326, 2986, 529, 273, 4316, 302, 8247, 18574, 11619, 1376, 311, 13356, 5169, 302, 37413, 1717, 29305, 13463, 322, 52, 1557, 88, 789, 8278, 17, 572, 1120, 3288, 329, 5408, 1792, 20404, 302, 275, 47829, 18, 47326, 1216, 292, 4847, 19, 204, 204, 1380, 25031, 28337, 204, 4377, 437, 28970, 302, 275, 798, 1758, 94, 12, 289, 283, 13, 89, 17, 469, 29326, 275, 47829, 18, 47326, 2986, 13356, 275, 1988, 630, 273, 800, 917, 1758, 89, 68, 83, 69, 974, 275, 3090, 1988, 1758, 94, 68, 83, 6557, 334, 2986, 1228, 292, 1017, 1552, 17, 928, 17469, 275, 3666, 302, 275, 14241, 19, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 368, 322, 25835, 6339, 14, 204, 673, 14712, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 322, 89, 1859, 83, 16, 22, 98, 338, 265, 68, 83, 14, 540, 283, 13, 94, 68, 83, 17, 265, 68, 83, 9059, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 22, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 322, 89, 64, 78, 16, 22, 66, 338, 265, 64, 78, 694, 540, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 435, 204, 673, 1552, 435, 47829, 18, 47326, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 373, 540, 283, 13, 89, 465, 373, 20, 23, 17, 469, 68, 83, 465, 373, 20, 23, 540, 283, 13, 89, 17, 469, 68, 83, 38212, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 23, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 373, 289, 265, 64, 78, 16, 22, 66, 338, 265, 64, 78, 66, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 373, 540, 283, 13, 94, 64, 78, 66, 465, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 47829, 18, 47326, 6339, 302, 5868, 681, 204, 673, 1552, 681, 47829, 18, 47326, 1216, 5018, 275, 2631, 1395, 2089, 31, 204, 69, 94, 1859, 83, 16, 22, 98, 289, 469, 68, 83, 465, 322, 77, 20, 27, 14, 540, 322, 80, 22, 465, 435, 15, 80, 23, 465, 435, 15, 80, 24, 465, 724, 25, 9059, 204, 204, 3691, 5207, 204, 461, 1523, 340, 80, 33410, 25, 13, 75, 17, 469, 21, 17, 265, 17, 2042, 34, 13077, 204, 264, 300, 289, 1245, 13, 89, 14, 204, 264, 469, 289, 645, 19, 4324, 1802, 83, 17, 1245, 13, 94, 21, 3694, 204, 264, 469, 64, 21, 66, 289, 469, 21, 204, 264, 348, 296, 292, 933, 13, 83, 338, 368, 330, 204, 268, 373, 289, 265, 64, 78, 16, 22, 66, 338, 265, 64, 78, 66, 204, 268, 724, 22, 289, 283, 13, 94, 64, 78, 648, 265, 64, 78, 648, 540, 1038, 14, 204, 268, 724, 23, 289, 283, 13, 94, 64, 78, 66, 465, 724, 22, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 268, 724, 24, 289, 283, 13, 94, 64, 78, 66, 465, 724, 23, 540, 373, 802, 435, 2458, 265, 64, 78, 66, 465, 373, 802, 435, 2458, 540, 1038, 14, 204, 268, 724, 25, 289, 283, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 64, 78, 66, 465, 724, 24, 540, 373, 17, 265, 64, 78, 66, 465, 373, 17, 540, 1038, 14, 204, 268, 469, 64, 78, 16, 22, 66, 289, 469, 64, 78, 66, 465, 322, 77, 802, 887, 6268, 540, 322, 80, 22, 465, 435, 15, 80, 23, 465, 435, 15, 80, 24, 465, 724, 25, 14, 204, 264, 407, 469, 204, 3691, 204, 204, 1380, 25828, 302, 10523, 204, 2310, 5408, 275, 1792, 47829, 18, 47326, 2986, 974, 275, 1758, 369, 339, 69, 741, 497, 1758, 42802, 19, 41775, 69, 448, 273, 4398, 19, 204, 204, 3691, 5207, 204, 12252, 289, 551, 369, 339, 17, 1523, 340, 80, 33410, 22, 17, 1523, 340, 80, 33410, 23, 17, 1523, 340, 80, 33410, 25, 66, 204, 26983, 289, 2470, 17152, 379, 84, 491, 379, 88, 491, 43261, 839, 204, 204, 461, 683, 68, 22, 13, 83, 34, 10986, 330, 204, 264, 265, 289, 645, 19, 11391, 13, 21, 17, 931, 17, 300, 14, 204, 264, 348, 1216, 17, 309, 292, 4337, 13, 12252, 17, 14627, 330, 204, 268, 1170, 289, 1216, 13, 1751, 17, 469, 21, 17, 265, 17, 2042, 3644, 71, 17, 279, 602, 204, 268, 1513, 19, 1657, 13, 89, 17, 1170, 3460, 500, 648, 1800, 34, 1939, 3925, 417, 14909, 8973, 34, 82, 14, 204, 264, 1513, 19, 9042, 13, 1229, 833, 6222, 534, 204, 264, 1513, 19, 1778, 499, 34152, 302, 1792, 28970, 9432, 2986, 348, 300, 2508, 98, 1728, 2948, 2478, 13, 83, 602, 204, 264, 1513, 19, 7246, 499, 89, 289, 551, 21, 17, 931, 23064, 204, 264, 1513, 19, 2700, 374, 204, 264, 1513, 19, 2896, 374, 204, 3691, 204, 204, 1380, 18123, 204, 673, 47829, 18, 47326, 2986, 529, 273, 10652, 5910, 348, 8565, 28970, 88, 19, 334, 1552, 681, 1216, 353, 275, 1901, 10205, 17, 1101, 1425, 275, 1901, 26457, 447, 15434, 19, 334, 1758, 369, 339, 69, 741, 497, 1758, 42802, 19, 41775, 69, 353, 8628, 12096, 329, 1182, 10205, 1194, 2077, 16680, 38532, 19, 0, 647, 11866, 24, 204, 531, 1498, 532, 783, 204, 204, 676, 38735, 9976, 3368, 31, 204, 264, 320, 204, 264, 332, 850, 311, 8808, 440, 13588, 38735, 9976, 329, 387, 24, 6171, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 38071, 9976, 68, 1723, 31, 11866, 24, 19, 1723, 17, 297, 24, 68, 1723, 31, 11866, 24, 19, 1723, 330, 204, 268, 320, 204, 268, 977, 275, 38735, 9976, 3368, 726, 19, 204, 204, 268, 457, 31, 204, 305, 38071, 9976, 68, 1723, 322, 26264, 24, 19, 1723, 330, 11866, 24, 3264, 1870, 1545, 726, 348, 38735, 9976, 19, 204, 305, 297, 24, 68, 1723, 322, 26264, 24, 19, 1723, 330, 11866, 24, 3264, 1870, 1545, 726, 348, 387, 24, 19, 204, 268, 320, 204, 268, 370, 19, 88, 438, 9976, 68, 1723, 289, 38071, 9976, 68, 1723, 204, 268, 370, 19, 88, 24, 68, 1723, 289, 297, 24, 68, 1723, 204, 204, 264, 436, 458, 68, 7760, 7683, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 38735, 9976, 9076, 7683, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 783, 302, 15228, 1987, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1986, 275, 15228, 1987, 497, 275, 5644, 204, 305, 407, 551, 14600, 736, 47861, 10193, 2687, 839, 348, 17940, 292, 15228, 68, 12270, 66, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 10883, 41502, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 264, 436, 636, 68, 20963, 68, 1835, 13, 327, 17, 15228, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 1714, 302, 273, 38735, 9976, 40635, 19, 204, 204, 268, 457, 31, 204, 305, 15228, 322, 325, 330, 4014, 302, 275, 15228, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 10352, 302, 275, 15228, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1752, 275, 15228, 1014, 440, 275, 800, 588, 204, 305, 348, 17940, 292, 15228, 68, 12270, 31, 204, 485, 397, 17940, 736, 47861, 10193, 2687, 839, 564, 15228, 31, 204, 895, 314, 455, 275, 1714, 302, 275, 15228, 204, 895, 407, 17940, 736, 47861, 10193, 5330, 839, 204, 305, 314, 455, 273, 943, 397, 275, 15228, 353, 508, 1193, 204, 305, 407, 283, 1954, 20963, 98, 508, 1193, 7, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 5202, 15228, 1714, 31, 463, 74, 743, 204, 305, 407, 3026, 204, 204, 264, 436, 636, 68, 20963, 68, 805, 13, 327, 17, 15228, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 275, 1274, 302, 273, 38735, 9976, 40635, 19, 204, 204, 268, 457, 31, 204, 305, 15228, 322, 325, 330, 4014, 302, 275, 15228, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 1274, 302, 275, 15228, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 15228, 5644, 497, 38735, 9976, 204, 305, 15228, 68, 12270, 289, 370, 19, 88, 438, 9976, 68, 1723, 19, 655, 68, 20963, 68, 12270, 20526, 47861, 837, 11236, 839, 204, 305, 314, 1752, 275, 15228, 1014, 440, 275, 800, 588, 204, 305, 348, 17940, 292, 15228, 68, 12270, 31, 204, 485, 397, 17940, 736, 47861, 10193, 2687, 839, 564, 15228, 31, 204, 895, 314, 455, 275, 1274, 302, 275, 15228, 204, 895, 407, 283, 7, 3189, 16531, 14600, 736, 18530, 25958, 204, 305, 314, 455, 273, 943, 397, 275, 15228, 353, 0 ]

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

[ 0, 508, 1193, 204, 305, 407, 283, 1954, 20963, 98, 508, 1193, 7, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 5202, 15228, 1274, 31, 463, 74, 743, 204, 305, 407, 3026, 204, 204, 264, 436, 458, 68, 23381, 13, 327, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 783, 387, 24, 9629, 9075, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 325, 744, 783, 302, 6382, 1987, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 763, 275, 458, 302, 20489, 497, 387, 24, 204, 305, 958, 289, 370, 19, 88, 24, 68, 1723, 19, 655, 68, 23381, 374, 204, 305, 314, 1986, 275, 6382, 1987, 497, 275, 958, 204, 305, 407, 551, 2142, 390, 736, 2687, 839, 348, 42297, 292, 958, 736, 10668, 9075, 11653, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 1352, 204, 305, 456, 13, 75, 7, 596, 10883, 20489, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 38735, 9976, 329, 387, 24, 11234, 204, 264, 38071, 9976, 68, 1723, 289, 11866, 24, 19, 1723, 611, 88, 438, 9976, 534, 204, 264, 297, 24, 68, 1723, 289, 11866, 24, 19, 1723, 611, 88, 24, 534, 204, 204, 264, 314, 666, 273, 38735, 9976, 3368, 726, 204, 264, 1545, 289, 38735, 9976, 3368, 13, 88, 438, 9976, 68, 1723, 17, 297, 24, 68, 1723, 14, 204, 204, 264, 314, 783, 41502, 204, 264, 41502, 289, 1545, 19, 655, 68, 7760, 7683, 374, 204, 264, 456, 499, 7108, 7683, 2212, 204, 264, 348, 15228, 292, 41502, 31, 204, 268, 456, 13, 20963, 14, 204, 204, 264, 314, 763, 15228, 1714, 204, 264, 15228, 68, 1835, 289, 1545, 19, 505, 68, 20963, 68, 1835, 13, 7760, 7683, 64, 21, 694, 204, 264, 456, 13, 75, 7, 5330, 302, 463, 7760, 7683, 64, 21, 48111, 463, 20963, 68, 1835, 743, 204, 204, 264, 314, 763, 15228, 1274, 204, 264, 15228, 68, 805, 289, 1545, 19, 505, 68, 20963, 68, 805, 13, 7760, 7683, 64, 21, 694, 204, 264, 456, 13, 75, 7, 3778, 302, 463, 7760, 7683, 64, 21, 48111, 463, 20963, 68, 805, 743, 204, 204, 264, 314, 783, 20489, 204, 264, 20489, 289, 1545, 19, 655, 68, 23381, 374, 204, 264, 456, 499, 10668, 9075, 2212, 204, 264, 348, 6382, 292, 20489, 31, 204, 268, 456, 13, 7853, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 265, 3278, 95, 68, 12245, 19, 12245, 532, 38314, 204, 204, 461, 683, 68, 89, 3278, 95, 68, 12245, 68, 2256, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 313, 3278, 95, 12201, 2585, 19, 204, 204, 264, 1058, 741, 6609, 437, 1014, 302, 275, 38314, 850, 329, 5377, 397, 275, 2585, 1216, 2584, 273, 955, 1174, 275, 379, 2256, 12, 896, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 2585, 1216, 1583, 508, 407, 273, 955, 440, 275, 379, 2256, 12, 896, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1014, 302, 275, 38314, 850, 204, 268, 265, 3278, 95, 68, 12245, 289, 38314, 374, 204, 822, 268, 314, 763, 275, 2585, 1483, 497, 275, 265, 3278, 95, 68, 12245, 204, 268, 2585, 68, 1270, 289, 265, 3278, 95, 68, 12245, 19, 2256, 374, 204, 822, 268, 314, 778, 397, 275, 2585, 68, 1270, 353, 273, 955, 329, 3192, 275, 379, 2256, 12, 896, 204, 268, 2136, 2381, 13, 2256, 68, 1270, 17, 1135, 14, 329, 388, 2256, 7, 292, 2585, 68, 1270, 17, 388, 11223, 3986, 353, 508, 273, 955, 521, 1583, 508, 918, 275, 379, 2256, 12, 896, 7, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 683, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 268, 980, 15689, 499, 2346, 5585, 3913, 311, 437, 908, 431, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 89, 3278, 95, 68, 12245, 68, 2256, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 7742, 532, 5278, 17, 17945, 17, 11143, 17, 11881, 17, 6109, 17, 6581, 16007, 204, 531, 7742, 19, 536, 532, 3633, 204, 531, 556, 281, 323, 404, 1156, 19, 3823, 19, 1479, 532, 20987, 448, 3301, 204, 204, 676, 2221, 13, 3295, 330, 204, 264, 320, 204, 264, 2646, 273, 575, 292, 275, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 268, 1043, 68, 417, 322, 325, 330, 334, 575, 677, 1043, 588, 19, 204, 268, 1673, 68, 417, 322, 325, 330, 334, 575, 677, 1673, 588, 19, 204, 268, 2143, 322, 325, 330, 334, 575, 677, 2220, 2143, 19, 204, 264, 320, 204, 264, 589, 13597, 367, 289, 379, 4162, 12, 226, 314, 5199, 1788, 1491, 1435, 588, 348, 18007, 204, 264, 575, 68, 359, 289, 5278, 13, 3937, 17, 11881, 611, 816, 68, 359, 68, 6734, 2008, 4408, 68, 644, 34, 1021, 14, 204, 264, 1043, 68, 417, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 226, 314, 29644, 5943, 34, 1975, 348, 1945, 2357, 204, 264, 1673, 68, 417, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 204, 264, 2143, 289, 5278, 13, 4269, 13, 2051, 659, 2220, 34, 1021, 17, 5943, 34, 1975, 14, 204, 204, 264, 314, 9050, 273, 3633, 440, 275, 5185, 570, 204, 264, 7215, 289, 3633, 499, 7164, 528, 21482, 1022, 4020, 431, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 575, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 2922, 68, 417, 98, 463, 327, 19, 2391, 68, 417, 2495, 204, 204, 676, 5185, 13, 3295, 330, 204, 264, 320, 204, 264, 2646, 0 ]

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

[ 0, 273, 1722, 292, 275, 1104, 19, 204, 204, 264, 1532, 31, 204, 268, 1722, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 1722, 19, 204, 268, 31171, 322, 325, 330, 334, 1722, 677, 31171, 19, 204, 268, 1068, 322, 325, 330, 334, 1722, 677, 1666, 19, 204, 268, 575, 68, 359, 322, 339, 330, 334, 1222, 302, 275, 575, 1415, 1966, 275, 1722, 19, 204, 264, 320, 204, 264, 589, 13597, 367, 289, 379, 8754, 12, 226, 314, 5199, 1788, 1491, 1435, 588, 348, 18007, 204, 264, 1722, 68, 359, 289, 5278, 13, 3937, 17, 11881, 611, 2288, 68, 359, 68, 6734, 2008, 4408, 68, 644, 34, 1021, 14, 204, 264, 31171, 289, 5278, 13, 4269, 13, 9333, 659, 5943, 34, 1975, 14, 226, 314, 29644, 5943, 34, 1975, 348, 1945, 2357, 204, 264, 1068, 289, 5278, 13, 4269, 13, 14789, 659, 5943, 34, 1975, 14, 204, 264, 575, 68, 359, 289, 5278, 13, 3937, 17, 17945, 499, 4162, 19, 816, 68, 359, 3186, 5943, 34, 1975, 14, 204, 204, 264, 314, 9050, 273, 3633, 440, 275, 2221, 570, 204, 264, 2799, 289, 3633, 499, 2491, 528, 21482, 1022, 8754, 431, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1722, 19, 204, 268, 320, 204, 268, 407, 370, 19, 42108, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 575, 204, 264, 717, 68, 816, 289, 2221, 13, 2922, 68, 417, 1022, 6192, 528, 1673, 68, 417, 1022, 21869, 528, 2143, 1022, 41144, 431, 204, 615, 264, 314, 666, 273, 717, 1722, 204, 264, 717, 68, 2288, 289, 5185, 13, 42108, 1022, 7061, 6867, 5185, 528, 1068, 1022, 1834, 353, 2745, 1043, 1722, 7729, 2799, 34, 1957, 68, 816, 14, 204, 615, 264, 314, 1198, 275, 575, 329, 1722, 204, 264, 456, 13, 1957, 68, 816, 14, 204, 264, 456, 13, 1957, 68, 2288, 14, 204, 0, 461, 2252, 68, 4841, 68, 1031, 13, 4841, 68, 1031, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 2735, 437, 3091, 782, 1025, 273, 458, 302, 1892, 19, 204, 204, 264, 457, 31, 204, 268, 3091, 68, 1031, 322, 325, 330, 334, 537, 3091, 782, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 332, 458, 302, 1892, 2457, 275, 3091, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 3091, 782, 560, 12937, 329, 1814, 848, 1085, 311, 437, 1534, 204, 264, 407, 551, 339, 13, 78, 14, 348, 296, 292, 3091, 68, 1031, 19, 1590, 25488, 204, 204, 461, 6879, 68, 10825, 13, 10825, 31, 458, 64, 655, 64, 339, 4395, 717, 68, 4841, 31, 458, 64, 339, 694, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 9761, 273, 717, 3091, 1025, 273, 458, 302, 1950, 18, 22555, 7046, 19, 204, 204, 264, 457, 31, 204, 268, 7046, 322, 655, 64, 655, 64, 339, 3795, 334, 458, 302, 1950, 18, 22555, 7046, 19, 204, 268, 717, 68, 4841, 322, 655, 64, 339, 1037, 334, 717, 3091, 311, 444, 6116, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 2440, 334, 6116, 458, 302, 1950, 18, 22555, 7046, 19, 204, 264, 320, 204, 264, 314, 977, 275, 6116, 7046, 458, 204, 264, 6116, 68, 10825, 289, 1306, 204, 615, 264, 314, 977, 275, 1112, 348, 275, 7046, 458, 204, 264, 296, 289, 500, 204, 615, 264, 314, 1255, 830, 7046, 496, 3891, 2518, 275, 717, 3091, 204, 264, 1335, 296, 962, 1245, 13, 10825, 14, 329, 7046, 64, 78, 1799, 22, 66, 962, 717, 68, 4841, 64, 21, 744, 204, 268, 6116, 68, 10825, 19, 1223, 13, 10825, 64, 78, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 314, 9761, 19924, 7046, 204, 264, 1335, 296, 962, 1245, 13, 10825, 14, 329, 7046, 64, 78, 1799, 21, 66, 2186, 717, 68, 4841, 64, 22, 744, 204, 268, 314, 1716, 275, 717, 3091, 311, 444, 275, 6116, 3091, 204, 268, 717, 68, 4841, 64, 21, 66, 289, 1006, 13, 1957, 68, 4841, 64, 21, 648, 7046, 64, 78, 1799, 21, 694, 204, 268, 717, 68, 4841, 64, 22, 66, 289, 846, 13, 1957, 68, 4841, 64, 22, 648, 7046, 64, 78, 1799, 22, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 314, 1255, 275, 6116, 3091, 204, 264, 6116, 68, 10825, 19, 1223, 13, 1957, 68, 4841, 14, 204, 615, 264, 314, 1255, 830, 4017, 7046, 204, 264, 1335, 296, 962, 1245, 13, 10825, 330, 204, 268, 6116, 68, 10825, 19, 1223, 13, 10825, 64, 78, 694, 204, 268, 296, 1412, 368, 204, 615, 264, 407, 6116, 68, 10825, 204, 204, 461, 1151, 68, 768, 374, 393, 927, 64, 655, 64, 655, 64, 339, 4395, 458, 64, 339, 2440, 204, 264, 320, 204, 264, 1606, 275, 537, 3157, 329, 2252, 1475, 1025, 7046, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 655, 64, 655, 64, 339, 4395, 458, 64, 339, 2440, 332, 927, 1174, 275, 458, 302, 7046, 329, 275, 717, 3091, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 3157, 204, 264, 537, 68, 1031, 289, 537, 8083, 23, 7733, 23, 66, 204, 264, 717, 68, 4841, 68, 1031, 289, 537, 8083, 22, 7733, 22, 66, 204, 615, 264, 314, 2735, 275, 537, 3157, 204, 264, 3091, 68, 655, 289, 551, 1703, 68, 4841, 68, 1031, 13, 78, 14, 348, 296, 292, 537, 68, 1031, 19, 1590, 611, 26497, 10116, 204, 264, 717, 68, 4841, 289, 2252, 68, 4841, 68, 1031, 13, 1957, 68, 4841, 68, 1031, 14, 204, 615, 264, 407, 3091, 68, 655, 17, 717, 68, 4841, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 10428, 275, 537, 17, 47218, 275, 7046, 17, 329, 5538, 275, 722, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 537, 7046, 329, 275, 717, 3091, 204, 264, 3091, 68, 655, 17, 717, 68, 4841, 289, 1151, 68, 768, 374, 204, 615, 264, 314, 9761, 275, 7046, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6116, 68, 10825, 289, 6879, 68, 10825, 13, 4841, 68, 655, 17, 717, 68, 4841, 14, 204, 615, 264, 314, 1198, 275, 6116, 7046, 204, 264, 456, 13, 13551, 68, 10825, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 1361, 19, 1087, 204, 531, 1498, 532, 783, 204, 204, 531, 4433, 532, 14305, 204, 531, 4433, 532, 3017, 204, 531, 4433, 68, 5243, 93, 532, 12684, 204, 204, 531, 740, 532, 838, 68, 748, 204, 531, 3923, 19, 10764, 19, 24976, 19, 10764, 532, 26555, 448, 8798, 68, 11730, 204, 531, 3923, 19, 16183, 3379, 19, 24976, 19, 16183, 3379, 532, 26555, 448, 38627, 68, 11730, 204, 531, 3923, 19, 20037, 68, 655, 19, 24976, 19, 20037, 68, 655, 532, 26555, 448, 10551, 68, 655, 68, 11730, 204, 531, 3923, 19, 2226, 68, 8530, 19, 24976, 19, 2226, 532, 26555, 448, 2048, 68, 11730, 204, 531, 3923, 19, 8665, 19, 24976, 19, 8665, 532, 26555, 448, 6042, 68, 11730, 204, 531, 3923, 19, 16713, 13828, 19, 24976, 19, 16713, 13828, 532, 26555, 448, 41847, 68, 11730, 204, 531, 3923, 19, 5969, 68, 4162, 19, 24976, 19, 5969, 68, 4162, 532, 26555, 448, 3232, 68, 4162, 68, 11730, 204, 531, 954, 532, 2557, 204, 204, 8, 968, 30484, 204, 40072, 31, 783, 64, 1386, 66, 289, 551, 204, 264, 8798, 68, 11730, 17, 204, 264, 38627, 68, 11730, 17, 204, 264, 10551, 68, 655, 68, 11730, 17, 204, 264, 2048, 68, 11730, 17, 204, 264, 6042, 68, 11730, 17, 204, 264, 41847, 68, 11730, 17, 204, 264, 3232, 68, 4162, 68, 11730, 204, 66, 204, 204, 461, 5327, 68, 3247, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 1361, 974, 275, 1361, 19, 4120, 510, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4923, 832, 302, 275, 1361, 1586, 510, 204, 264, 1361, 68, 4120, 68, 546, 289, 1127, 19, 546, 19, 16741, 43332, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 3843, 553, 19128, 379, 3247, 19, 4120, 3063, 204, 264, 314, 6153, 1361, 974, 275, 510, 204, 264, 1361, 19, 1087, 19, 553, 2108, 13, 3247, 68, 4120, 68, 546, 14, 204, 204, 461, 838, 68, 2005, 68, 748, 374, 393, 14305, 31, 204, 264, 320, 204, 264, 666, 275, 1893, 14497, 329, 881, 30484, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 3017, 14305, 204, 264, 14497, 289, 14305, 611, 2005, 491, 589, 417, 14909, 1779, 68, 4830, 22375, 2005, 534, 204, 264, 314, 977, 275, 1893, 204, 264, 3923, 289, 12684, 13, 10182, 14, 204, 264, 314, 1255, 30484, 311, 275, 1893, 204, 264, 348, 8528, 292, 30484, 31, 204, 268, 3923, 19, 826, 68, 11730, 13, 11730, 14, 204, 264, 407, 14497, 204, 204, 461, 838, 68, 9879, 68, 748, 374, 393, 3017, 31, 204, 264, 320, 204, 264, 666, 275, 3017, 1650, 19, 204, 264, 320, 204, 264, 314, 666, 275, 3017, 1650, 204, 264, 740, 289, 838, 68, 748, 374, 204, 264, 314, 6153, 1361, 204, 264, 5327, 68, 3247, 374, 204, 264, 314, 666, 275, 1893, 14497, 204, 264, 14497, 289, 838, 68, 2005, 68, 748, 374, 204, 264, 314, 6676, 275, 1893, 14497, 440, 275, 3017, 1650, 204, 264, 740, 19, 4216, 68, 10182, 13, 10182, 14, 204, 264, 407, 740, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 4383, 1981, 19, 204, 264, 320, 204, 264, 314, 666, 275, 3017, 1650, 204, 264, 740, 289, 838, 68, 9879, 68, 748, 374, 204, 264, 314, 763, 275, 2082, 204, 264, 711, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 264, 810, 31, 204, 268, 314, 2175, 275, 1012, 302, 275, 4383, 1981, 204, 268, 711, 19, 1270, 611, 15770, 45662, 24729, 4383, 1981, 630, 4778, 16531, 5865, 2005, 20, 10849, 38271, 33, 2625, 2478, 13, 748, 19, 1087, 736, 12920, 68, 3344, 13649, 204, 268, 314, 2466, 275, 4383, 1981, 204, 268, 740, 19, 1777, 13, 4561, 34, 3282, 19, 15652, 17771, 68, 9281, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 204, 268, 711, 19, 718, 13, 75, 7, 596, 4145, 1981, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 3238, 204, 647, 1875, 204, 531, 10271, 532, 3207, 204, 647, 1437, 204, 531, 6497, 45187, 68, 28567, 19, 14335, 45187, 23, 68, 3436, 272, 93, 24, 532, 6497, 45187, 23, 68, 3436, 272, 93, 24, 204, 531, 10050, 532, 10050, 204, 204, 8, 968, 3454, 204, 8440, 68, 2956, 289, 14692, 204, 52, 6622, 5640, 6176, 68, 35261, 289, 551, 1003, 17, 1199, 17, 2468, 17, 2846, 17, 2753, 66, 204, 204, 461, 1137, 68, 809, 13, 3075, 31, 394, 14, 393, 6497, 45187, 23, 68, 3436, 272, 93, 24, 31, 204, 264, 320, 204, 264, 1385, 275, 17646, 48076, 2513, 570, 19, 204, 204, 264, 457, 31, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1137, 275, 570, 523, 322, 74, 19, 76, 2458, 388, 6938, 7, 521, 388, 6995, 5561, 204, 204, 264, 475, 31, 204, 264, 6497, 45187, 23, 68, 3436, 272, 93, 24, 31, 334, 3271, 17646, 48076, 2513, 570, 19, 204, 264, 320, 204, 264, 570, 289, 6497, 45187, 23, 68, 3436, 272, 93, 24, 13, 15112, 34, 1975, 14, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 264, 3093, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 204, 268, 388, 14335, 45187, 68, 28567, 20, 30502, 48076, 2513, 5526, 68, 7257, 1318, 93, 24, 19, 2957, 528, 204, 264, 1179, 204, 264, 3093, 289, 1437, 19, 986, 13, 3815, 68, 546, 17, 2304, 68, 3366, 34, 3075, 14, 204, 264, 570, 19, 986, 68, 1512, 68, 873, 13, 3815, 14, 204, 264, 407, 570, 204, 204, 461, 1137, 68, 5342, 8168, 68, 761, 68, 7709, 13, 935, 68, 835, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 275, 3466, 6458, 711, 2634, 19, 204, 204, 264, 457, 31, 204, 264, 752, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 752, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 3466, 6458, 711, 2634, 19, 204, 264, 320, 204, 264, 407, 645, 19, 761, 13, 1123, 19, 3535, 1802, 935, 68, 835, 17, 752, 68, 835, 602, 802, 752, 68, 835, 802, 752, 68, 835, 14, 204, 204, 461, 6497, 45187, 68, 4396, 68, 12866, 13, 204, 264, 752, 31, 645, 19, 766, 17, 570, 31, 6497, 45187, 23, 68, 3436, 272, 93, 24, 17, 3466, 8168, 68, 761, 68, 7709, 31, 645, 19, 766, 17, 2322, 31, 394, 204, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8698, 275, 4005, 16855, 6096, 974, 17646, 48076, 2513, 19, 204, 204, 264, 457, 31, 204, 264, 752, 322, 1123, 19, 766, 330, 334, 537, 752, 19, 204, 264, 570, 322, 14335, 45187, 23, 68, 3436, 272, 93, 24, 330, 334, 17646, 48076, 2513, 570, 19, 204, 264, 3466, 8168, 68, 761, 68, 7709, 322, 1123, 19, 766, 330, 334, 3466, 6458, 711, 2634, 19, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1523, 275, 570, 523, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 3908, 4005, 16855, 6096, 19, 204, 264, 320, 204, 264, 752, 68, 481, 289, 1437, 19, 3116, 1568, 935, 19, 12905, 13, 23, 17, 500, 17, 368, 10354, 4798, 34, 3109, 19, 996, 2177, 789, 633, 13, 3075, 14, 204, 264, 3466, 8168, 68, 481, 289, 1437, 19, 3116, 1568, 5342, 8168, 68, 761, 68, 7709, 66, 540, 1245, 13, 935, 68, 481, 8093, 633, 13, 3075, 14, 204, 264, 570, 68, 1420, 289, 570, 19, 6904, 13, 93, 34, 935, 68, 481, 17, 3466, 8168, 34, 5342, 8168, 68, 481, 14, 204, 264, 711, 68, 12866, 289, 570, 68, 1420, 19, 18861, 1528, 6995, 1528, 5770, 8083, 21, 17, 500, 66, 204, 264, 407, 645, 19, 4041, 13, 761, 68, 12866, 14, 204, 204, 461, 636, 68, 655, 68, 522, 68, 912, 6762, 68, 5864, 13, 25363, 68, 835, 31, 421, 17, 6528, 68, 10967, 68, 835, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 1256, 6762, 4738, 19, 204, 204, 264, 457, 31, 204, 264, 19831, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 19831, 19, 204, 264, 6528, 68, 10967, 68, 835, 322, 339, 330, 334, 4923, 1302, 302, 275, 6528, 19, 204, 204, 264, 475, 31, 204, 264, 458, 31, 332, 458, 302, 1256, 6762, 4738, 19, 204, 264, 320, 204, 264, 314, 1058, 741, 353, 508, 4310, 292, 275, 2171, 1576, 17, 754, 382, 12119, 14958, 490, 677, 273, 3277, 5581, 204, 264, 4738, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 21, 17, 19831, 68, 835, 338, 6528, 68, 10967, 68, 835, 465, 368, 330, 204, 268, 348, 781, 292, 933, 13, 21, 17, 19831, 68, 835, 338, 6528, 68, 10967, 68, 835, 465, 368, 330, 204, 305, 4738, 19, 1223, 1802, 78, 17, 296, 465, 6528, 68, 10967, 68, 835, 17, 781, 17, 781, 465, 6528, 68, 10967, 68, 835, 602, 204, 264, 407, 4738, 204, 204, 461, 1352, 68, 16557, 13, 204, 264, 9397, 31, 1135, 17, 204, 264, 1256, 6762, 68, 835, 68, 998, 31, 421, 17, 204, 264, 570, 31, 6497, 45187, 23, 68, 3436, 272, 93, 24, 17, 204, 264, 3466, 8168, 68, 761, 68, 7709, 31, 645, 19, 766, 17, 204, 264, 2322, 31, 394, 17, 204, 264, 2042, 31, 3238, 19, 5750, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2875, 9397, 19, 204, 204, 264, 457, 31, 204, 264, 9397, 322, 873, 330, 334, 9397, 424, 19, 204, 264, 1256, 6762, 68, 835, 68, 998, 322, 339, 330, 334, 1112, 302, 275, 1256, 6762, 1302, 19, 204, 264, 570, 322, 14335, 45187, 23, 68, 3436, 272, 93, 24, 330, 334, 17646, 48076, 2513, 570, 19, 204, 264, 3466, 8168, 68, 761, 68, 7709, 322, 1123, 19, 766, 330, 334, 3466, 6458, 711, 2634, 19, 204, 264, 2322, 322, 325, 330, 334, 2322, 311, 1523, 275, 570, 523, 19, 204, 264, 2042, 322, 11996, 19, 5750, 330, 334, 1354, 18, 1054, 1906, 19, 204, 264, 320, 204, 264, 6528, 68, 13938, 68, 835, 289, 650, 6622, 5640, 6176, 68, 35261, 64, 912, 6762, 68, 835, 68, 998, 66, 204, 264, 6528, 68, 10967, 68, 835, 289, 6528, 68, 13938, 68, 835, 204, 264, 19831, 68, 835, 289, 6528, 68, 10967, 68, 835, 204, 204, 264, 458, 68, 522, 68, 5864, 289, 636, 68, 655, 68, 522, 68, 912, 6762, 68, 5864, 13, 25363, 68, 835, 17, 6528, 68, 10967, 68, 835, 14, 204, 204, 264, 314, 1385, 27469, 204, 264, 17352, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 9397, 1166, 10197, 2869, 204, 268, 283, 7, 29907, 68, 1538, 68, 912, 16461, 68, 522, 1859, 5690, 68, 13938, 68, 835, 6803, 6169, 19, 12942, 528, 204, 264, 1179, 204, 264, 397, 2042, 19, 546, 68, 1803, 2167, 27262, 204, 268, 17352, 289, 17352, 19, 3834, 13, 1038, 19, 546, 68, 1803, 17, 2042, 19, 546, 68, 3834, 14, 204, 264, 27469, 289, 645, 19, 986, 13, 6696, 14, 204, 204, 264, 314, 1752, 1006, 20, 1129, 1048, 830, 13320, 2388, 827, 275, 1540, 752, 204, 264, 1006, 68, 10331, 68, 3443, 289, 27469, 9128, 22, 1664, 30740, 374, 204, 264, 846, 68, 10331, 68, 3443, 289, 27469, 9128, 22, 1664, 11300, 374, 204, 204, 264, 1006, 68, 1932, 289, 458, 68, 522, 68, 5864, 64, 885, 68, 10331, 68, 3443, 66, 204, 264, 846, 68, 1932, 289, 458, 68, 522, 68, 5864, 64, 1129, 68, 10331, 68, 3443, 66, 204, 204, 264, 314, 1385, 752, 204, 264, 1540, 68, 2120, 68, 935, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 16557, 1166, 10197, 2869, 388, 2120, 68, 2305, 19, 4955, 431, 204, 264, 1540, 68, 2120, 68, 935, 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, 645, 19, 643, 13, 3873, 19, 3664, 13, 2305, 68, 2120, 68, 935, 68, 546, 8093, 7532, 13, 1123, 19, 996, 14, 204, 204, 264, 314, 8698, 4005, 16855, 6096, 204, 264, 4005, 16855, 68, 7709, 289, 6497, 45187, 68, 4396, 68, 12866, 13, 204, 268, 1540, 68, 2120, 68, 935, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 204, 264, 1179, 204, 204, 264, 314, 37246, 4005, 16855, 2634, 1048, 1006, 329, 846, 6528, 4738, 204, 264, 1006, 68, 5690, 68, 6868, 16855, 289, 645, 19, 3037, 13, 204, 268, 4005, 16855, 68, 7709, 64, 204, 305, 1006, 68, 1932, 64, 21, 66, 1164, 1006, 68, 1932, 64, 22, 648, 1006, 68, 1932, 64, 23, 66, 1164, 1006, 68, 1932, 64, 24, 66, 204, 268, 2437, 204, 264, 1179, 204, 264, 846, 68, 5690, 68, 6868, 16855, 289, 645, 19, 3037, 13, 204, 268, 4005, 16855, 68, 7709, 64, 204, 305, 846, 68, 1932, 64, 21, 66, 1164, 846, 68, 1932, 64, 22, 648, 846, 68, 1932, 64, 23, 66, 1164, 846, 68, 1932, 64, 24, 66, 204, 268, 2437, 204, 264, 1179, 204, 204, 264, 314, 1716, 9397, 440, 4005, 16855, 5989, 204, 264, 9397, 1166, 885, 68, 2120, 68, 5690, 68, 6868, 16855, 1339, 289, 388, 9489, 1258, 75, 7, 1564, 1006, 68, 5690, 68, 6868, 16855, 204, 264, 9397, 1166, 1129, 68, 2120, 68, 5690, 68, 6868, 16855, 1339, 289, 388, 9489, 1258, 75, 7, 1564, 846, 68, 5690, 68, 6868, 16855, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 374, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 768, 18, 8064, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 546, 311, 275, 537, 4858, 4147, 1875, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 1420, 18, 8064, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1340, 1022, 3663, 311, 2106, 275, 2423, 4858, 4147, 440, 275, 27396, 3986, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 912, 6762, 18, 835, 528, 204, 268, 1945, 34, 1021, 17, 204, 268, 1187, 34, 339, 17, 204, 268, 5426, 34, 52, 6622, 5640, 6176, 68, 35261, 17, 204, 268, 1340, 1022, 912, 6762, 1302, 1376, 348, 275, 30856, 528, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 546, 18, 1803, 528, 204, 268, 1945, 34, 1975, 17, 204, 268, 1540, 22278, 204, 268, 1340, 1022, 266, 1322, 275, 832, 311, 275, 4793, 752, 424, 869, 7716, 17, 808, 4601, 618, 444, 1376, 311, 4066, 3576, 302, 275, 832, 440, 5805, 902, 7729, 204, 264, 1179, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 5848, 546, 18, 3834, 528, 204, 268, 1945, 34, 1975, 17, 204, 268, 1540, 22278, 204, 268, 1340, 1022, 876, 311, 4066, 3576, 302, 275, 752, 3630, 440, 528, 204, 264, 1179, 204, 204, 264, 2042, 289, 1732, 19, 1703, 68, 1038, 374, 204, 204, 264, 2136, 322, 1038, 19, 546, 68, 1803, 564, 3026, 329, 2042, 19, 546, 68, 3834, 564, 11070, 521, 322, 204, 268, 2042, 19, 546, 68, 1803, 2167, 3026, 329, 2042, 19, 546, 68, 3834, 2167, 3026, 204, 264, 1179, 204, 204, 264, 1256, 6762, 68, 835, 68, 998, 289, 650, 6622, 5640, 6176, 68, 35261, 19, 998, 13, 1038, 19, 912, 6762, 68, 835, 14, 204, 204, 264, 440, 1451, 13, 1038, 19, 768, 68, 8064, 17, 388, 87, 431, 448, 283, 31, 204, 268, 4147, 289, 1875, 19, 986, 13, 75, 14, 204, 204, 264, 2322, 289, 388, 6938, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 7, 204, 264, 570, 289, 1137, 68, 809, 13, 3075, 14, 204, 264, 3466, 8168, 68, 761, 68, 7709, 289, 1137, 68, 5342, 8168, 68, 761, 68, 7709, 13, 8440, 68, 2956, 14, 204, 204, 264, 348, 1781, 292, 10050, 13, 8064, 1166, 6381, 28133, 204, 268, 348, 9397, 292, 1781, 1166, 1292, 68, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 268, 348, 9397, 292, 1781, 1166, 1292, 68, 27715, 68, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 268, 348, 9397, 292, 1781, 1166, 17197, 8682, 204, 305, 1352, 68, 16557, 13, 16557, 17, 1256, 6762, 68, 835, 68, 998, 17, 570, 17, 3466, 8168, 68, 761, 68, 7709, 17, 2322, 17, 2042, 14, 204, 204, 264, 440, 1451, 13, 1038, 19, 1420, 68, 8064, 17, 388, 92, 431, 448, 283, 31, 204, 268, 1875, 19, 4573, 13, 8064, 17, 283, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 37406, 22, 3228, 19, 18507, 22, 5379, 532, 35817, 22, 5379, 204, 204, 676, 6547, 13, 18507, 22, 5379, 330, 204, 264, 320, 204, 264, 2646, 273, 1068, 726, 292, 35817, 22, 19, 204, 204, 264, 1532, 31, 204, 268, 906, 417, 322, 325, 330, 334, 588, 302, 275, 1068, 726, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 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, 273, 717, 1014, 302, 275, 6547, 850, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 588, 353, 1392, 521, 443, 204, 268, 397, 508, 588, 31, 204, 305, 980, 987, 499, 2687, 2950, 444, 1392, 521, 443, 431, 204, 822, 268, 314, 977, 275, 588, 3929, 204, 268, 370, 0 ]

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

[ 0, 806, 417, 289, 588, 204, 268, 2234, 3853, 924, 889, 417, 14, 204, 204, 264, 1642, 3830, 204, 264, 436, 588, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 588, 302, 275, 1068, 726, 19, 204, 268, 320, 204, 268, 314, 455, 275, 588, 3929, 204, 268, 407, 370, 806, 417, 204, 204, 264, 1642, 417, 19, 11094, 204, 264, 436, 588, 13, 327, 17, 700, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 457, 31, 204, 305, 700, 322, 325, 330, 334, 717, 588, 302, 275, 1068, 726, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 588, 353, 1392, 521, 443, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 588, 353, 1392, 521, 443, 204, 268, 397, 508, 700, 31, 204, 305, 980, 987, 499, 2687, 2950, 444, 1392, 521, 443, 431, 204, 822, 268, 314, 1716, 275, 588, 3929, 204, 268, 370, 806, 417, 289, 700, 204, 268, 2234, 3853, 924, 889, 876, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1068, 726, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 1068, 726, 19, 204, 268, 320, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 1068, 726, 204, 268, 407, 283, 7, 3430, 7730, 31, 463, 327, 19, 417, 2495, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 19, 204, 268, 320, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 204, 268, 407, 283, 7, 3430, 18695, 327, 19, 417, 21121, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 1068, 726, 204, 264, 1068, 289, 6547, 499, 5063, 6547, 431, 204, 615, 264, 314, 1198, 275, 588, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 19, 417, 14, 204, 615, 264, 314, 1716, 275, 588, 302, 275, 1068, 726, 204, 264, 1068, 19, 417, 289, 388, 6001, 1165, 6547, 7, 204, 615, 264, 314, 1198, 275, 2908, 588, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 19, 417, 14, 204, 615, 264, 314, 1198, 273, 782, 2355, 302, 275, 1068, 726, 204, 264, 456, 13, 492, 14, 204, 615, 264, 314, 1198, 273, 782, 2355, 302, 275, 1068, 726, 496, 618, 444, 1376, 311, 28343, 490, 204, 264, 456, 13, 6843, 13, 492, 602, 204, 0, 315, 204, 1834, 2413, 18654, 329, 432, 4973, 4109, 17206, 1094, 497, 15397, 329, 2363, 8839, 629, 17206, 1094, 19, 204, 204, 3837, 3629, 273, 3277, 4510, 311, 3073, 1792, 17206, 1094, 17, 2864, 2599, 17206, 1094, 497, 15397, 204, 416, 2363, 8839, 629, 17206, 1094, 19, 204, 204, 5063, 1265, 31, 204, 264, 18036, 497, 1094, 532, 636, 68, 17014, 68, 809, 204, 264, 18036, 570, 289, 636, 68, 17014, 68, 809, 499, 17014, 2132, 431, 204, 264, 18036, 456, 13, 809, 14, 204, 315, 204, 204, 531, 15397, 19, 1618, 532, 322, 204, 264, 33294, 2132, 17, 204, 264, 33294, 5091, 17, 204, 264, 33294, 1719, 17, 204, 264, 33294, 10986, 17, 204, 264, 33294, 27294, 17, 204, 14, 204, 531, 1094, 19, 20028, 629, 68, 17014, 532, 322, 204, 264, 39608, 68, 17014, 2132, 17, 204, 264, 39608, 68, 17014, 5091, 17, 204, 264, 39608, 68, 17014, 1719, 17, 204, 264, 39608, 68, 17014, 10986, 17, 204, 264, 39608, 68, 17014, 27294, 17, 204, 14, 204, 204, 461, 636, 68, 17014, 68, 809, 13, 809, 68, 417, 31, 394, 14, 393, 726, 31, 204, 264, 320, 204, 264, 475, 273, 17206, 570, 1609, 523, 275, 800, 570, 588, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 417, 322, 325, 330, 334, 588, 302, 275, 17206, 570, 311, 3686, 19, 204, 305, 4128, 444, 1051, 302, 275, 2631, 31, 204, 485, 338, 33294, 2132, 204, 485, 338, 33294, 5091, 204, 485, 338, 33294, 1719, 204, 485, 338, 33294, 10986, 204, 485, 338, 33294, 27294, 204, 485, 338, 39608, 68, 17014, 2132, 204, 485, 338, 39608, 68, 17014, 5091, 204, 485, 338, 39608, 68, 17014, 1719, 204, 485, 338, 39608, 68, 17014, 10986, 204, 485, 338, 39608, 68, 17014, 27294, 204, 204, 264, 475, 31, 204, 268, 726, 31, 334, 13112, 17206, 570, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 570, 588, 353, 508, 11022, 19, 204, 264, 320, 204, 264, 314, 968, 273, 955, 311, 2304, 570, 1987, 311, 1017, 3310, 3263, 204, 264, 570, 68, 6992, 289, 463, 204, 268, 388, 17014, 2132, 559, 33294, 2132, 17, 204, 268, 388, 17014, 5091, 559, 33294, 5091, 17, 204, 268, 388, 17014, 1719, 559, 33294, 1719, 17, 204, 268, 388, 17014, 10986, 559, 33294, 10986, 17, 204, 268, 388, 17014, 27294, 559, 33294, 27294, 17, 204, 268, 388, 20028, 629, 68, 17014, 2132, 559, 39608, 68, 17014, 2132, 17, 204, 268, 388, 20028, 629, 68, 17014, 5091, 559, 39608, 68, 17014, 5091, 17, 204, 268, 388, 20028, 629, 68, 17014, 1719, 559, 39608, 68, 17014, 1719, 17, 204, 268, 388, 20028, 629, 68, 17014, 10986, 559, 39608, 68, 17014, 10986, 17, 204, 268, 388, 20028, 629, 68, 17014, 27294, 559, 39608, 68, 17014, 27294, 17, 204, 264, 1211, 204, 204, 264, 314, 778, 397, 275, 570, 588, 353, 11022, 204, 264, 397, 570, 68, 417, 508, 292, 570, 68, 6992, 31, 204, 268, 980, 987, 13, 75, 7, 3739, 30322, 570, 588, 31, 463, 809, 68, 417, 743, 204, 204, 264, 314, 455, 275, 13112, 570, 204, 264, 407, 570, 68, 6992, 64, 809, 68, 417, 31920, 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, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 810, 31, 204, 268, 314, 6608, 311, 532, 329, 732, 273, 570, 204, 268, 570, 289, 636, 68, 17014, 68, 809, 499, 17014, 2132, 431, 204, 268, 456, 13, 809, 14, 204, 264, 827, 16581, 448, 318, 31, 204, 268, 314, 1426, 532, 2744, 204, 268, 456, 13, 75, 7, 596, 25875, 570, 31, 463, 74, 743, 204, 264, 827, 987, 448, 318, 31, 204, 268, 314, 1426, 2872, 570, 1987, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 658, 1687, 368, 31, 968, 275, 741, 283, 13, 93, 14, 329, 2248, 1163, 26069, 630, 610, 289, 500, 204, 673, 741, 283, 13, 93, 14, 353, 4310, 292, 970, 8305, 31, 283, 13, 93, 14, 289, 500, 397, 610, 8103, 500, 17, 329, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 14, 397, 610, 1323, 500, 19, 2416, 2248, 496, 283, 13, 93, 14, 353, 7346, 630, 610, 289, 500, 17, 572, 1519, 311, 2248, 496, 275, 2689, 302, 283, 13, 93, 14, 448, 610, 7881, 500, 353, 1936, 311, 283, 13, 21, 789, 4682, 283, 13, 21, 14, 289, 500, 17, 572, 1519, 311, 2248, 496, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 500, 19, 204, 204, 658, 1687, 435, 31, 6426, 496, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 500, 204, 3070, 610, 1323, 500, 17, 572, 874, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 789, 5486, 265, 289, 368, 20, 93, 17, 754, 448, 610, 393, 500, 17, 265, 393, 17342, 19, 5512, 17, 572, 874, 6387, 610, 12315, 21, 283, 13, 93, 14, 289, 6387, 265, 12315, 17037, 318, 7218, 89, 67, 23, 14, 289, 500, 19, 204, 204, 658, 1687, 571, 31, 6426, 496, 283, 5822, 21, 14, 2560, 204, 1449, 2248, 496, 283, 5822, 21, 14, 2560, 17, 572, 1519, 311, 2248, 496, 275, 2689, 302, 551, 75, 13, 93, 14, 338, 283, 13, 21, 2395, 6918, 93, 338, 500, 14, 448, 610, 7881, 500, 2560, 19, 4682, 283, 13, 21, 14, 289, 500, 17, 572, 1519, 311, 2248, 496, 6387, 610, 12315, 21, 283, 13, 93, 4061, 93, 2560, 19, 1765, 610, 1323, 500, 17, 572, 874, 283, 13, 93, 4061, 93, 289, 318, 7218, 22, 20, 93, 67, 23, 4061, 93, 19, 5486, 265, 289, 368, 20, 93, 17, 754, 448, 610, 393, 500, 17, 265, 393, 17342, 19, 5512, 17, 572, 874, 6387, 610, 12315, 21, 283, 13, 93, 4061, 93, 289, 6387, 265, 12315, 17037, 318, 7218, 89, 67, 23, 4061, 89, 289, 500, 19, 204, 204, 658, 1687, 681, 31, 6426, 496, 283, 6023, 83, 3085, 21, 14, 2560, 348, 830, 300, 204, 1449, 2248, 496, 283, 6023, 83, 3085, 21, 14, 2560, 348, 830, 300, 17, 572, 618, 22340, 283, 13, 93, 14, 20628, 329, 2248, 496, 275, 2689, 302, 283, 6023, 83, 3085, 93, 14, 448, 610, 7881, 500, 2560, 19, 6917, 42117, 283, 13, 93, 14, 273, 4542, 2666, 17, 572, 618, 3020, 496, 848, 3018, 1120, 874, 273, 2479, 302, 318, 7218, 22, 20, 93, 67, 23, 659, 928, 7881, 500, 448, 610, 7881, 500, 19, 204, 204, 658, 1687, 720, 31, 3400, 275, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 204, 673, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 353, 800, 560, 283, 13, 93, 14, 289, 283, 13, 21, 14, 465, 283, 5822, 21, 14, 93, 465, 283, 21586, 21, 14, 93, 67, 23, 20, 23, 6, 465, 3168, 2617, 4682, 283, 13, 21, 14, 289, 500, 329, 283, 5822, 21, 14, 289, 500, 17, 275, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 353, 500, 19, 204, 204, 658, 1687, 887, 31, 6426, 496, 275, 17488, 10665, 18142, 22098, 1101, 1583, 508, 25717, 311, 283, 13, 93, 14, 348, 610, 1323, 500, 204, 673, 17488, 10665, 348, 283, 13, 93, 14, 18204, 630, 500, 18142, 22098, 2404, 490, 353, 273, 3324, 3196, 322, 21, 789, 3355, 17, 490, 1583, 508, 25717, 311, 283, 13, 93, 14, 348, 610, 1323, 500, 2404, 283, 13, 93, 14, 289, 318, 7218, 22, 20, 93, 67, 23, 14, 353, 508, 1936, 311, 500, 348, 610, 1323, 500, 19, 204, 204, 658, 1687, 1168, 31, 11328, 275, 3196, 14868, 70, 68, 83, 329, 275, 2689, 302, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 448, 300, 7881, 17342, 204, 4377, 496, 6387, 300, 12315, 17037, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 289, 480, 17, 572, 1519, 311, 2248, 496, 397, 480, 962, 368, 17, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 17, 329, 397, 480, 1323, 368, 17, 275, 3196, 38971, 19, 204, 204, 658, 1687, 1132, 31, 6426, 496, 397, 480, 962, 368, 17, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 204, 3719, 480, 962, 368, 17, 1675, 1422, 2560, 273, 542, 468, 1702, 496, 480, 962, 468, 962, 368, 19, 1765, 29899, 3403, 300, 17, 572, 874, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 962, 468, 17, 928, 10600, 496, 1152, 70, 68, 83, 97, 962, 468, 67, 83, 19, 4682, 275, 3196, 14868, 87, 67, 83, 18142, 322, 286, 353, 273, 9902, 3196, 440, 1152, 87, 97, 962, 368, 659, 275, 3196, 14868, 70, 68, 83, 18142, 23055, 560, 7448, 19, 204, 204, 658, 1687, 1233, 31, 6426, 496, 397, 480, 1323, 368, 17, 275, 3196, 14868, 70, 68, 83, 38971, 204, 3719, 480, 1323, 368, 17, 1675, 1422, 2560, 273, 542, 468, 1702, 496, 368, 962, 468, 962, 480, 19, 1765, 29899, 3403, 300, 17, 572, 874, 1152, 70, 68, 83, 97, 6023, 22, 20, 83, 14, 1323, 468, 17, 928, 10600, 496, 1152, 70, 68, 83, 97, 1323, 468, 67, 83, 19, 4682, 275, 3196, 14868, 87, 67, 83, 38971, 322, 286, 353, 273, 9902, 3196, 440, 1152, 87, 97, 1323, 368, 659, 275, 3196, 14868, 70, 68, 83, 38971, 560, 7448, 19, 204, 204, 658, 1687, 931, 31, 32484, 14712, 677, 2089, 974, 275, 17488, 0 ]

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

[ 0, 10665, 348, 318, 67, 95, 204, 673, 17488, 10665, 348, 318, 67, 95, 353, 800, 560, 318, 67, 95, 289, 368, 465, 1264, 465, 1264, 67, 23, 20, 23, 6, 465, 1264, 67, 24, 20, 24, 6, 465, 3168, 2617, 19151, 1264, 289, 38181, 17, 572, 636, 318, 67, 1077, 289, 368, 465, 38181, 338, 610, 67, 23, 20, 23, 6, 338, 38181, 67, 24, 20, 24, 6, 465, 610, 67, 25, 20, 25, 6, 465, 3168, 2617, 1058, 618, 444, 22615, 448, 318, 67, 1077, 289, 322, 22, 338, 610, 67, 23, 20, 23, 6, 465, 610, 67, 25, 20, 25, 6, 338, 3168, 1179, 465, 296, 13, 93, 338, 610, 67, 24, 20, 24, 6, 465, 610, 67, 26, 20, 26, 6, 338, 3168, 5334, 928, 529, 275, 17488, 10665, 348, 3615, 13, 93, 14, 329, 3698, 13, 93, 14, 8866, 19, 204, 204, 658, 1687, 2958, 31, 32484, 14712, 677, 2089, 204, 25835, 677, 2089, 3584, 496, 318, 67, 78, 3080, 465, 368, 289, 500, 19, 19151, 610, 289, 5780, 1025, 275, 1581, 318, 67, 1077, 289, 3615, 13, 93, 14, 465, 296, 3698, 13, 93, 659, 572, 636, 318, 67, 78, 3080, 289, 3615, 13, 3080, 14, 465, 296, 3698, 13, 3080, 14, 289, 338, 22, 465, 500, 78, 289, 338, 22, 19, 6263, 17, 318, 67, 78, 3080, 465, 368, 289, 338, 22, 465, 368, 289, 500, 19, 0, 837, 2247, 4832, 17, 1429, 302, 275, 1901, 4130, 578, 24666, 302, 415, 447, 27839, 6802, 275, 1043, 28165, 302, 2075, 1784, 3472, 8934, 8013, 17, 22868, 19, 334, 1627, 6999, 970, 302, 2745, 46192, 4382, 18, 34077, 21773, 88, 17, 17747, 21986, 44874, 329, 45668, 3418, 26244, 19, 27440, 6999, 6901, 3899, 2351, 17, 41127, 23572, 17, 6901, 8708, 16959, 17, 23071, 26424, 405, 17, 329, 14083, 27996, 19, 204, 5019, 1704, 2941, 292, 8934, 8013, 17, 27996, 22718, 273, 24967, 2192, 496, 2080, 1742, 10342, 497, 10676, 19, 7609, 15056, 5287, 26519, 291, 3899, 2351, 17, 273, 45024, 302, 6901, 3899, 2351, 17, 22062, 275, 2192, 292, 23143, 31, 204, 12124, 7584, 2181, 874, 17, 523, 275, 24639, 302, 690, 17, 43049, 569, 12563, 2767, 573, 2854, 25932, 1085, 302, 808, 12301, 292, 29169, 346, 478, 17, 1101, 355, 8537, 311, 732, 830, 302, 490, 19, 5860, 2238, 17, 566, 15257, 17, 1466, 508, 9631, 39864, 19, 3665, 618, 1151, 2767, 573, 2854, 677, 6943, 329, 1182, 1465, 275, 10033, 24967, 2192, 292, 8934, 8013, 630, 5672, 1346, 331, 44642, 292, 20002, 19, 204, 30186, 971, 17, 440, 1017, 47877, 1286, 329, 306, 8918, 17, 3522, 38308, 17, 13448, 5394, 6, 204, 29459, 18795, 29894, 1043, 8417, 292, 808, 8620, 1567, 470, 17, 204, 5055, 863, 10948, 497, 275, 8006, 10701, 275, 8469, 19, 204, 5681, 331, 3756, 2077, 284, 1750, 46799, 21801, 82, 21670, 88, 3891, 17, 204, 1449, 1193, 437, 26701, 292, 808, 15028, 3623, 19, 204, 11142, 1250, 329, 1017, 88, 4230, 1020, 273, 33655, 2941, 5323, 204, 38, 7399, 38719, 497, 43692, 677, 1922, 19, 204, 13203, 432, 2096, 8072, 2482, 3522, 874, 7568, 5501, 17, 204, 7002, 3848, 17, 13448, 5394, 17, 38308, 37379, 4418, 292, 275, 2481, 204, 11142, 27996, 677, 1922, 3756, 4968, 44274, 292, 1704, 2344, 5323, 204, 2021, 794, 285, 15358, 38423, 302, 1704, 10165, 204, 7002, 690, 5323, 302, 3153, 17, 2077, 13374, 6388, 35704, 17, 1330, 204, 13239, 6900, 497, 415, 447, 27839, 287, 12, 270, 329, 22986, 3237, 5323, 204, 5058, 2351, 17, 21986, 44874, 17, 23572, 17, 329, 904, 37443, 4757, 17, 204, 6617, 1518, 1987, 1017, 24354, 9356, 311, 48632, 74, 19, 204, 18984, 1910, 273, 10865, 308, 821, 2513, 329, 306, 339, 569, 26810, 204, 25245, 3153, 34892, 742, 323, 308, 2460, 88, 874, 306, 5228, 329, 21728, 1588, 204, 11594, 15056, 440, 1017, 8907, 73, 624, 560, 874, 7568, 17, 204, 7002, 15810, 874, 1742, 9596, 329, 10564, 19, 204, 7002, 1910, 273, 21781, 2192, 869, 2080, 1163, 5251, 19, 204, 6114, 4189, 1163, 1069, 1288, 17, 329, 41067, 1163, 2344, 32, 204, 7002, 4230, 94, 30429, 329, 9866, 45344, 302, 275, 7625, 204, 23158, 13069, 329, 18390, 5311, 17, 10564, 329, 7568, 5501, 19, 204, 2841, 3756, 274, 38308, 10762, 292, 2666, 302, 47868, 394, 2475, 19, 204, 673, 15005, 1382, 3054, 302, 19841, 677, 12178, 2192, 17, 5323, 204, 7002, 1330, 2077, 28621, 363, 35704, 10068, 1017, 7977, 204, 1449, 6584, 1017, 3477, 677, 40710, 1750, 29945, 6, 204, 30631, 690, 869, 14637, 13697, 29894, 308, 2460, 88, 17, 13448, 46799, 21801, 82, 5394, 6, 204, 7002, 12365, 336, 44274, 440, 275, 2308, 302, 1910, 2181, 32, 204, 35395, 17, 4210, 275, 11302, 14629, 302, 2523, 17, 29894, 29010, 572, 3020, 19, 204, 7002, 25939, 3848, 29894, 13943, 737, 7969, 6644, 19, 204, 59, 674, 578, 12260, 1446, 302, 2077, 1782, 494, 302, 469, 573, 6, 204, 18365, 1475, 38308, 43706, 8942, 3307, 677, 1069, 1288, 2590, 32, 204, 7002, 1330, 17, 2090, 1475, 17, 29894, 3054, 529, 7568, 329, 287, 12, 270, 17, 204, 7990, 2238, 1741, 1340, 29894, 317, 697, 1947, 13697, 11556, 6721, 19, 0, 531, 1498, 532, 783, 204, 647, 18804, 204, 531, 5920, 532, 8909, 204, 204, 676, 17702, 15273, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1040, 275, 542, 302, 10797, 1174, 848, 917, 19, 204, 264, 320, 204, 204, 264, 436, 1040, 68, 22793, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4395, 1728, 31, 783, 64, 1218, 64, 339, 4097, 393, 783, 64, 339, 744, 204, 268, 320, 204, 268, 10607, 275, 542, 302, 10797, 1174, 848, 917, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 17, 1273, 848, 4392, 353, 6717, 448, 273, 458, 302, 970, 1892, 17, 551, 1205, 17, 1853, 1664, 204, 305, 1728, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1728, 17, 1273, 848, 917, 353, 6717, 448, 273, 458, 302, 970, 1892, 17, 551, 93, 17, 469, 1664, 204, 204, 268, 475, 31, 204, 305, 783, 64, 339, 744, 332, 458, 302, 1892, 17, 1273, 848, 0 ]

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

[ 0, 1534, 4504, 275, 542, 302, 10797, 1174, 275, 3310, 917, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 10797, 521, 1728, 529, 2872, 19, 204, 268, 320, 204, 268, 314, 778, 397, 537, 353, 1097, 204, 268, 370, 806, 5542, 68, 768, 13, 22793, 17, 1728, 14, 204, 204, 268, 314, 4641, 10797, 560, 1853, 204, 268, 2282, 68, 22793, 289, 2282, 13, 22793, 17, 896, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 268, 4392, 68, 1608, 289, 370, 806, 1510, 68, 9670, 68, 1608, 13, 5518, 68, 22793, 14, 204, 204, 268, 314, 3398, 10797, 348, 848, 917, 204, 268, 407, 551, 327, 806, 765, 68, 22793, 68, 1538, 68, 1096, 13, 9670, 68, 1608, 17, 610, 17, 469, 14, 348, 610, 17, 469, 292, 1728, 66, 204, 204, 264, 436, 906, 5542, 68, 768, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4395, 1728, 31, 783, 64, 1218, 64, 339, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 11149, 275, 537, 10797, 329, 1728, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 19, 204, 305, 1728, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 1728, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 537, 10797, 521, 1728, 529, 2872, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 22793, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 9670, 17, 458, 14, 329, 1245, 13, 9670, 14, 564, 435, 348, 4392, 292, 10797, 330, 204, 305, 980, 987, 499, 1962, 10797, 537, 431, 204, 268, 397, 508, 2381, 13, 2160, 17, 458, 14, 521, 508, 830, 13, 12090, 13, 1096, 17, 458, 14, 329, 1245, 13, 1096, 14, 564, 435, 348, 917, 292, 1728, 330, 204, 305, 980, 987, 499, 1962, 1728, 537, 431, 204, 204, 264, 436, 906, 1510, 68, 9670, 68, 1608, 13, 327, 17, 10797, 31, 783, 64, 1218, 64, 339, 4097, 393, 8909, 31, 204, 268, 320, 204, 268, 2605, 273, 2304, 302, 10797, 17, 1273, 848, 896, 353, 273, 1853, 329, 275, 700, 353, 273, 458, 302, 5466, 19, 204, 204, 268, 457, 31, 204, 305, 10797, 322, 1218, 64, 1218, 64, 339, 3795, 332, 458, 302, 10797, 19, 204, 204, 268, 475, 31, 204, 305, 8909, 31, 332, 2304, 302, 10797, 19, 204, 268, 320, 204, 268, 4392, 68, 1608, 289, 8909, 13, 655, 14, 204, 268, 348, 1277, 17, 1853, 292, 10797, 31, 204, 305, 4392, 68, 1608, 64, 2757, 1664, 1223, 13, 1205, 14, 204, 268, 407, 4392, 68, 1608, 204, 204, 264, 436, 906, 765, 68, 22793, 68, 1538, 68, 1096, 13, 327, 17, 4392, 68, 1608, 31, 8909, 17, 610, 31, 421, 17, 469, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 10607, 275, 542, 302, 10797, 1174, 273, 917, 19, 204, 204, 268, 457, 31, 204, 305, 4392, 68, 1608, 322, 48950, 330, 332, 2304, 302, 10797, 19, 204, 305, 610, 322, 339, 330, 334, 610, 18, 3936, 302, 275, 917, 19, 204, 305, 469, 322, 339, 330, 334, 469, 18, 3936, 302, 275, 917, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 10797, 1174, 275, 917, 19, 204, 268, 320, 204, 268, 1040, 289, 500, 204, 268, 348, 1853, 17, 27935, 292, 4392, 68, 1608, 19, 1996, 1293, 204, 305, 397, 1853, 3721, 469, 31, 204, 485, 1040, 1412, 1245, 13, 26800, 14, 338, 18804, 19, 71, 43778, 13, 26800, 17, 610, 338, 368, 14, 204, 268, 407, 1040, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 4328, 289, 17702, 15273, 374, 204, 264, 10797, 289, 5787, 23, 17, 571, 648, 551, 22, 17, 435, 648, 551, 23, 17, 720, 2629, 204, 264, 1728, 289, 5787, 23, 17, 368, 648, 551, 22, 17, 681, 2629, 204, 264, 722, 289, 4328, 19, 765, 68, 22793, 13, 22793, 17, 1728, 14, 204, 264, 456, 13, 1300, 14, 204, 0, 3728, 353, 275, 5312, 302, 3698, 67, 23, 13, 93, 14369, 204, 204, 673, 5312, 302, 3698, 67, 23, 13, 93, 14, 440, 4130, 311, 610, 618, 444, 14406, 974, 4109, 12458, 18387, 329, 9432, 9021, 19, 5028, 3979, 353, 311, 732, 275, 6246, 2746, 6572, 348, 10362, 17, 928, 3584, 496, 3698, 13, 23, 5907, 14, 289, 435, 2883, 13, 5907, 14, 2809, 13, 5907, 789, 23395, 808, 6572, 311, 3698, 67, 23, 13, 93, 659, 572, 874, 31, 204, 204, 2883, 67, 23, 13, 93, 14, 289, 322, 22, 20, 23, 3085, 22, 2317, 3615, 13, 23, 93, 602, 204, 204, 4063, 17, 572, 618, 14900, 3018, 560, 3018, 31, 204, 204, 11835, 2883, 67, 23, 13, 93, 14, 4992, 289, 22985, 22, 20, 23, 3085, 22, 2317, 3615, 13, 23, 93, 602, 4992, 204, 34, 322, 22, 20, 23, 14, 22985, 22, 2317, 3615, 13, 23, 93, 602, 4992, 204, 34, 322, 22, 20, 23, 3085, 93, 2317, 322, 22, 20, 23, 14, 2883, 13, 23, 93, 602, 465, 346, 204, 204, 3663, 346, 353, 275, 3324, 302, 9432, 19, 204, 204, 4356, 17, 275, 5312, 302, 3698, 67, 23, 13, 93, 14, 353, 322, 22, 20, 23, 3085, 93, 2317, 322, 22, 20, 23, 14, 2883, 13, 23, 93, 602, 465, 346, 17, 1273, 346, 353, 273, 3324, 19, 0, 647, 6032, 448, 1774, 204, 204, 676, 22108, 890, 31, 204, 264, 320, 204, 264, 332, 850, 348, 8397, 10418, 329, 3666, 348, 8534, 18, 2607, 3100, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4625, 31, 458, 17, 1781, 68, 3815, 31, 458, 289, 443, 17, 15467, 31, 421, 289, 571, 330, 204, 268, 320, 204, 268, 977, 275, 22108, 890, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 4625, 31, 332, 458, 302, 1781, 1987, 322, 74, 19, 76, 2458, 388, 12499, 528, 388, 11180, 5561, 204, 268, 338, 1781, 68, 3815, 31, 332, 458, 302, 1781, 3093, 19, 204, 268, 338, 15467, 31, 334, 542, 302, 4048, 6759, 311, 4672, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3666, 311, 19, 204, 268, 320, 204, 268, 370, 19, 6381, 289, 4625, 204, 268, 370, 19, 2607, 68, 3815, 289, 1781, 68, 3815, 397, 1781, 68, 3815, 902, 551, 2987, 19, 633, 68, 996, 13, 22, 19, 21, 802, 1245, 13, 6381, 12529, 540, 1245, 13, 6381, 14, 204, 268, 370, 19, 2650, 68, 30865, 289, 370, 806, 505, 68, 2650, 68, 30865, 13, 6381, 14, 204, 268, 370, 19, 2650, 68, 8765, 68, 2607, 289, 551, 3170, 66, 540, 1245, 13, 6381, 14, 204, 268, 370, 19, 8765, 68, 2607, 68, 24620, 289, 551, 3170, 66, 540, 1245, 13, 6381, 14, 204, 204, 264, 436, 906, 505, 68, 2650, 68, 30865, 13, 327, 17, 4625, 31, 458, 14, 393, 458, 31, 204, 268, 320, 204, 268, 763, 275, 2210, 9713, 348, 848, 1781, 19, 204, 204, 268, 457, 31, 204, 268, 338, 4625, 31, 332, 458, 302, 1781, 1987, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 2210, 9713, 19, 204, 268, 320, 204, 268, 2210, 68, 30865, 289, 1306, 204, 268, 348, 1781, 292, 4625, 31, 204, 305, 397, 1781, 564, 388, 12499, 559, 204, 485, 2210, 68, 30865, 19, 1223, 13, 2987, 19, 2606, 19, 15773, 68, 11397, 68, 9634, 68, 9450, 68, 2004, 68, 11792, 14, 204, 305, 1677, 1781, 564, 388, 11180, 559, 204, 485, 2210, 68, 30865, 19, 1223, 13, 2987, 19, 12667, 19, 3037, 68, 8899, 68, 718, 14, 204, 268, 407, 2210, 68, 30865, 204, 204, 264, 436, 949, 68, 5893, 13, 327, 17, 7180, 31, 1774, 19, 1556, 17, 6178, 31, 1774, 19, 1556, 17, 4798, 31, 1774, 19, 41, 2191, 289, 1774, 19, 996, 2177, 14, 393, 1774, 19, 1556, 31, 204, 268, 320, 204, 268, 888, 275, 3666, 302, 273, 4497, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7180, 31, 334, 4410, 7180, 1769, 19, 204, 268, 338, 6178, 31, 334, 3908, 1769, 19, 204, 268, 338, 4798, 31, 334, 424, 1187, 302, 275, 3666, 2162, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 3666, 302, 275, 4497, 19, 204, 268, 320, 204, 268, 2571, 1129, 289, 1774, 19, 633, 68, 996, 13, 2987, 19, 11300, 13, 4749, 17, 3138, 8981, 22, 602, 204, 268, 7180, 289, 1774, 19, 633, 68, 996, 13, 9319, 14, 204, 268, 3351, 289, 1774, 19, 633, 68, 996, 13, 2987, 19, 11659, 68, 13879, 13, 2987, 19, 1827, 13, 11300, 3694, 204, 204, 268, 3666, 289, 368, 338, 322, 2987, 19, 765, 68, 25929, 1802, 11300, 338, 7180, 659, 4798, 34, 8863, 14, 802, 3351, 14, 204, 268, 407, 3666, 204, 204, 264, 436, 1395, 13, 327, 17, 7180, 31, 458, 17, 6178, 31, 458, 17, 3093, 31, 458, 289, 443, 17, 1781, 68, 3815, 31, 458, 289, 443, 330, 204, 268, 320, 204, 268, 1716, 275, 10418, 329, 3666, 19, 204, 204, 268, 457, 31, 204, 268, 338, 7180, 31, 332, 458, 302, 4410, 7180, 1769, 19, 204, 268, 338, 6178, 31, 332, 458, 302, 3908, 1769, 19, 204, 268, 338, 3093, 31, 332, 458, 302, 3093, 348, 848, 1781, 19, 204, 268, 338, 1781, 68, 3815, 31, 332, 458, 302, 1781, 3093, 19, 204, 268, 320, 204, 268, 348, 296, 17, 1781, 292, 3209, 13, 327, 19, 6381, 330, 204, 305, 397, 1781, 564, 388, 12499, 559, 204, 485, 370, 806, 2045, 68, 2607, 68, 12499, 13, 78, 17, 7180, 17, 6178, 17, 3093, 14, 204, 305, 1677, 1781, 564, 388, 11180, 559, 204, 485, 370, 806, 2045, 68, 2607, 68, 11180, 13, 78, 17, 7180, 17, 6178, 17, 3093, 14, 204, 204, 268, 397, 1781, 68, 3815, 353, 443, 31, 204, 305, 1781, 68, 3815, 289, 370, 19, 2607, 68, 3815, 204, 204, 268, 370, 19, 2650, 289, 1774, 19, 633, 68, 996, 13, 21, 19, 21, 14, 204, 268, 348, 296, 17, 2210, 292, 3209, 13, 327, 19, 2650, 68, 8765, 68, 2607, 330, 204, 305, 370, 19, 2650, 1412, 1774, 19, 633, 68, 996, 13, 2650, 540, 1781, 68, 3815, 64, 78, 694, 204, 204, 264, 436, 906, 2045, 68, 2607, 68, 12499, 13, 327, 17, 1781, 68, 998, 31, 421, 17, 7180, 31, 458, 17, 6178, 31, 458, 17, 3093, 31, 458, 330, 204, 268, 320, 204, 268, 1716, 275, 2210, 329, 3666, 348, 273, 6980, 1781, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1781, 68, 998, 31, 334, 1112, 302, 275, 1781, 19, 204, 268, 338, 7180, 31, 332, 458, 302, 4410, 7180, 1769, 19, 204, 268, 338, 6178, 31, 332, 458, 302, 3908, 1769, 19, 204, 268, 338, 3093, 31, 332, 458, 302, 3093, 348, 275, 1781, 19, 204, 268, 320, 204, 268, 1769, 289, 1774, 19, 16916, 13, 2987, 19, 16052, 13, 9319, 64, 2607, 68, 998, 66, 338, 368, 17, 500, 659, 3138, 34, 24, 14, 204, 268, 810, 31, 204, 305, 397, 1245, 13, 3815, 330, 204, 485, 3093, 289, 1774, 19, 633, 68, 996, 13, 2987, 19, 16916, 13, 2987, 19, 20005, 13, 9319, 64, 21, 648, 500, 19, 3694, 204, 268, 827, 3660, 31, 204, 305, 3093, 289, 1774, 19, 3535, 13, 2185, 19, 1827, 17, 1774, 19, 2107, 14, 204, 204, 268, 370, 19, 2650, 68, 8765, 68, 2607, 64, 2607, 68, 998, 66, 289, 1774, 19, 11659, 68, 3037, 13, 204, 305, 1774, 19, 12667, 19, 8560, 68, 16130, 68, 2650, 13, 204, 485, 10418, 34, 327, 19, 2650, 68, 30865, 64, 2607, 68, 998, 13281, 2185, 34, 2987, 19, 633, 68, 339, 2177, 13, 2185, 659, 13102, 34, 4749, 64, 2607, 68, 998, 5060, 204, 485, 3093, 34, 3815, 17, 204, 305, 1179, 204, 268, 1179, 204, 204, 268, 370, 19, 8765, 68, 2607, 68, 24620, 64, 2607, 68, 998, 66, 289, 370, 19, 3446, 68, 5893, 13, 2185, 17, 6178, 64, 2607, 68, 998, 694, 204, 204, 264, 436, 906, 2045, 68, 2607, 68, 11180, 13, 327, 17, 1781, 68, 998, 31, 421, 17, 7180, 31, 458, 17, 6178, 31, 458, 17, 3093, 31, 458, 330, 204, 268, 320, 204, 268, 1716, 275, 2210, 329, 3666, 348, 273, 6058, 1781, 19, 204, 204, 268, 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, 268, 338, 1781, 68, 998, 31, 334, 1112, 302, 275, 1781, 19, 204, 268, 338, 7180, 31, 332, 458, 302, 4410, 7180, 1769, 19, 204, 268, 338, 6178, 31, 332, 458, 302, 3908, 1769, 19, 204, 268, 338, 3093, 31, 332, 458, 302, 3093, 348, 275, 1781, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 397, 1245, 13, 3815, 330, 204, 485, 3093, 289, 1774, 19, 633, 68, 996, 13, 2987, 19, 16916, 13, 2987, 19, 20005, 13, 9319, 64, 21, 648, 500, 19, 3694, 204, 268, 827, 3660, 31, 204, 305, 3093, 289, 1774, 19, 3535, 13, 9319, 64, 2607, 68, 998, 1664, 1827, 17, 1774, 19, 2107, 14, 204, 204, 268, 370, 19, 2650, 68, 8765, 68, 2607, 64, 2607, 68, 998, 66, 289, 1774, 19, 12667, 19, 3037, 68, 8899, 68, 718, 13, 9319, 64, 2607, 68, 998, 648, 6178, 64, 2607, 68, 998, 648, 3093, 34, 3815, 14, 204, 204, 264, 436, 636, 68, 2650, 13, 327, 17, 1781, 68, 998, 31, 421, 289, 443, 14, 393, 1774, 19, 1556, 31, 204, 268, 320, 204, 268, 763, 275, 2210, 348, 273, 1781, 521, 275, 8926, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1781, 68, 998, 31, 334, 1112, 302, 275, 1781, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2210, 348, 275, 1781, 521, 275, 8926, 2210, 19, 204, 268, 320, 204, 268, 397, 1781, 68, 998, 353, 508, 443, 31, 204, 305, 407, 370, 19, 2650, 68, 8765, 68, 2607, 64, 2607, 68, 998, 66, 204, 268, 407, 370, 19, 2650, 204, 204, 264, 436, 636, 68, 5232, 68, 325, 13, 327, 17, 1112, 31, 421, 17, 7060, 31, 1135, 14, 393, 394, 31, 204, 268, 320, 204, 268, 763, 273, 782, 2355, 302, 275, 4685, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1112, 31, 334, 1112, 302, 275, 4685, 19, 204, 268, 338, 7060, 31, 332, 955, 302, 4685, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 782, 2355, 302, 275, 4685, 19, 204, 268, 320, 204, 268, 7060, 68, 325, 289, 388, 2576, 1660, 2087, 14727, 2948, 2478, 13, 998, 14, 204, 268, 7060, 68, 325, 289, 11465, 98, 8926, 2210, 31, 22211, 24, 75, 14303, 2478, 13, 5232, 68, 325, 17, 7060, 1166, 13064, 18, 2607, 3808, 204, 204, 268, 348, 296, 17, 1781, 292, 3209, 13, 327, 19, 6381, 330, 204, 305, 7060, 68, 325, 289, 11465, 98, 2087, 31, 22211, 24, 75, 14303, 2478, 13, 5232, 68, 325, 17, 1781, 17, 7060, 1166, 8765, 18, 2607, 10895, 78, 694, 204, 204, 305, 397, 7060, 1166, 5893, 10895, 78, 66, 2167, 338, 22, 31, 204, 485, 7060, 68, 325, 289, 11465, 98, 8267, 4567, 24, 75, 1937, 2948, 2478, 13, 5232, 68, 325, 17, 7060, 1166, 5893, 10895, 78, 694, 204, 204, 268, 407, 7060, 68, 325, 204, 204, 264, 436, 636, 68, 5232, 13, 327, 14, 393, 1135, 31, 204, 268, 320, 204, 268, 763, 275, 4685, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 302, 4685, 19, 204, 268, 320, 204, 268, 407, 2832, 13064, 18, 2607, 559, 370, 19, 2650, 17, 388, 8765, 18, 2607, 559, 370, 19, 2650, 68, 8765, 68, 2607, 17, 388, 5893, 559, 370, 19, 8765, 68, 2607, 68, 24620, 98, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 22108, 890, 726, 204, 264, 4625, 289, 3134, 12499, 528, 388, 11180, 1339, 204, 264, 10418, 289, 22108, 890, 13, 6381, 14, 204, 204, 264, 314, 666, 1429, 11330, 424, 204, 264, 7180, 289, 551, 2987, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 5060, 1774, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 19094, 204, 264, 6178, 289, 551, 2987, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 931, 5060, 1774, 19, 2017, 19, 8745, 1568, 1003, 17, 931, 17, 931, 17, 368, 19094, 204, 204, 264, 314, 1716, 275, 10418, 329, 3666, 204, 264, 10418, 19, 2045, 13, 9319, 17, 6178, 14, 204, 204, 264, 314, 763, 275, 4685, 204, 264, 7060, 289, 10418, 19, 505, 68, 5232, 374, 204, 264, 456, 13, 12667, 19, 505, 68, 5232, 68, 325, 13, 21, 17, 7060, 602, 204, 0, 52, 2157, 4402, 1674, 9352, 13427, 3079, 3354, 4409, 36356, 1674, 7161, 1999, 9352, 408, 854, 48151, 13464, 14168, 31194, 11104, 408, 4296, 3560, 854, 2499, 4402, 1674, 4758, 7228, 2034, 9352, 3500, 1579, 3079, 3354, 4409, 460, 408, 11012, 4762, 23136, 7386, 5784, 408, 3359, 12256, 1990, 45369, 5788, 3622, 42489, 568, 204, 52, 2157, 4402, 1674, 9352, 19859, 40334, 4044, 408, 831, 4044, 854, 41458, 28271, 408, 831, 4044, 854, 2134, 3965, 28271, 408, 41458, 28271, 4402, 1674, 9352, 6395, 29495, 5890, 5851, 43724, 1719, 14277, 82, 1227, 1511, 14277, 82, 460, 408, 2134, 3965, 28271, 4402, 1674, 9352, 15856, 2051, 14277, 82, 725, 25547, 14277, 82, 725, 2825, 14277, 82, 460, 568, 204, 25, 725, 2657, 11153, 1734, 108, 4402, 408, 11153, 39075, 27834, 4402, 460, 19591, 408, 408, 9145, 39075, 460, 10716, 40812, 12690, 9057, 10853, 4562, 568, 204, 52, 2157, 4402, 1674, 9352, 11698, 29495, 5890, 1432, 6883, 2065, 12145, 8437, 408, 5757, 22983, 41458, 2815, 48151, 13464, 725, 2134, 3965, 2815, 48151, 13464, 725, 26073, 38005, 15865, 3455, 725, 4139, 4106, 13464, 47289, 725, 10222, 3708, 47289, 725, 31801, 47289, 725, 41558, 725, 13749, 5958, 8802, 14486, 10000, 30760, 1955, 17515, 28870, 12256, 1990, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 647, 2010, 448, 645, 204, 531, 9325, 19, 15773, 19, 11450, 532, 19240, 3436, 204, 647, 1875, 204, 204, 8, 4861, 204, 14061, 68, 12051, 68, 18512, 56, 289, 2753, 204, 204, 676, 2656, 43594, 8865, 299, 1252, 41710, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 8789, 2696, 311, 3612, 1609, 523, 27788, 14491, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 4497, 68, 1663, 1164, 1246, 19, 1362, 204, 268, 334, 4497, 1525, 19, 204, 264, 1184, 68, 4591, 1164, 1246, 19, 1362, 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, 334, 1184, 3688, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 4497, 68, 1663, 31, 1246, 19, 1362, 17, 1184, 68, 4591, 31, 1246, 19, 1362, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 2656, 43594, 8865, 299, 1252, 41710, 570, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 4497, 68, 1663, 322, 2600, 19, 1362, 330, 334, 4497, 1525, 19, 204, 268, 1184, 68, 4591, 322, 2600, 19, 1362, 17, 1448, 330, 334, 1184, 3688, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 370, 19, 7655, 68, 1663, 289, 4497, 68, 1663, 204, 268, 370, 19, 1271, 68, 4591, 289, 1184, 68, 4591, 204, 204, 264, 436, 8789, 68, 1996, 13, 327, 17, 575, 68, 359, 31, 421, 17, 2696, 68, 633, 68, 12286, 31, 458, 289, 7541, 1913, 83, 31, 421, 289, 931, 17, 2874, 31, 1109, 289, 1078, 14, 393, 1246, 19, 1362, 31, 204, 268, 320, 204, 268, 35515, 2696, 348, 273, 800, 575, 19, 204, 204, 268, 457, 31, 204, 268, 7104, 204, 268, 575, 68, 359, 322, 339, 330, 334, 575, 1222, 19, 204, 268, 2696, 68, 633, 68, 12286, 322, 655, 17, 1448, 330, 334, 2696, 311, 8809, 19, 1243, 311, 44138, 204, 268, 1913, 83, 322, 339, 17, 1448, 330, 334, 542, 302, 2696, 311, 8789, 19, 1243, 311, 931, 19, 204, 268, 2874, 322, 2107, 17, 1448, 330, 2266, 311, 2255, 1184, 3688, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 268, 5555, 204, 268, 1246, 19, 1362, 31, 334, 10290, 2696, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2282, 575, 3705, 204, 268, 2282, 68, 816, 68, 7381, 289, 370, 19, 7655, 68, 1663, 64, 816, 68, 359, 1664, 2975, 68, 1309, 13, 30940, 34, 1975, 789, 7142, 68, 998, 1528, 14925, 13, 3786, 2508, 816, 68, 359, 31, 379, 4749, 68, 6124, 10419, 204, 204, 268, 314, 4863, 685, 2696, 311, 8809, 329, 636, 275, 1913, 392, 14815, 204, 268, 14815, 68, 1695, 289, 2282, 68, 816, 68, 7381, 35499, 5518, 68, 816, 68, 7381, 736, 41272, 3750, 24773, 13, 1996, 68, 633, 68, 12286, 26886, 2975, 68, 1309, 611, 4749, 68, 6124, 491, 9472, 34, 1975, 789, 1885, 13, 2723, 83, 14, 204, 204, 268, 314, 828, 2874, 17, 2255, 1184, 3688, 204, 268, 397, 2874, 31, 204, 305, 397, 370, 19, 1271, 68, 4591, 353, 443, 31, 204, 485, 980, 987, 46728, 1271, 3688, 7, 353, 1945, 292, 2874, 2291, 534, 204, 305, 14815, 68, 1695, 289, 1246, 19, 9709, 13, 327, 19, 1271, 68, 4591, 17, 14815, 68, 1695, 17, 523, 833, 41272, 9520, 736, 41272, 491, 379, 4749, 68, 6124, 491, 379, 1778, 29385, 2975, 68, 1309, 611, 4749, 68, 6124, 491, 9472, 34, 1975, 14, 204, 204, 268, 407, 14815, 68, 1695, 204, 204, 204, 461, 1137, 68, 1271, 68, 4591, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 1184, 3688, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 510, 68, 546, 322, 325, 330, 334, 510, 832, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1135, 31, 334, 1184, 3688, 19, 204, 264, 320, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 1875, 68, 553, 31, 204, 268, 424, 289, 1875, 19, 986, 13, 1775, 68, 553, 14, 204, 264, 3688, 289, 463, 42088, 1166, 41272, 8682, 37106, 1166, 1778, 1339, 348, 37106, 292, 424, 98, 204, 264, 407, 3688, 204, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2084, 510, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 510, 68, 546, 322, 325, 330, 334, 510, 832, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 424, 19, 204, 264, 320, 204, 264, 407, 1246, 19, 976, 68, 1775, 13, 553, 68, 546, 14, 204, 204, 204, 461, 838, 68, 18419, 68, 1867, 13, 6124, 68, 1695, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 666, 273, 8371, 1435, 497, 275, 6374, 424, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 6374, 68, 1695, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 8371, 1435, 19, 204, 264, 320, 204, 264, 407, 6374, 68, 1695, 19, 18419, 68, 1867, 13, 998, 833, 48902, 1701, 491, 2630, 833, 41272, 491, 1019, 833, 6124, 491, 5233, 68, 876, 34, 21, 14, 204, 204, 204, 461, 838, 68, 982, 43594, 68, 2741, 299, 68, 809, 13, 6124, 68, 1695, 31, 1246, 19, 1362, 17, 771, 68, 10485, 31, 421, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 666, 273, 27788, 14491, 570, 19, 204, 204, 264, 457, 31, 204, 264, 7104, 204, 264, 6374, 68, 1695, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 264, 771, 68, 10485, 322, 339, 330, 334, 542, 302, 3857, 19, 204, 204, 264, 475, 31, 204, 264, 5555, 204, 264, 1246, 19, 1362, 31, 334, 4497, 1525, 19, 204, 264, 320, 204, 264, 314, 666, 273, 8371, 1435, 497, 275, 6374, 424, 204, 264, 3612, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 289, 838, 68, 18419, 68, 1867, 13, 6124, 68, 1695, 14, 204, 204, 264, 314, 2208, 275, 8371, 1435, 311, 273, 1525, 204, 264, 3612, 68, 1996, 68, 18419, 68, 1663, 289, 3612, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 402, 68, 1663, 374, 204, 204, 264, 314, 763, 275, 575, 4192, 204, 264, 3612, 68, 1915, 289, 458, 13, 4162, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 998, 14, 204, 204, 264, 314, 3055, 32828, 311, 5695, 275, 23601, 204, 264, 548, 17, 9115, 17, 628, 89, 289, 19240, 3436, 13, 4162, 68, 1996, 68, 18419, 68, 1663, 17, 724, 34, 920, 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, 10485, 14, 204, 264, 9115, 289, 645, 19, 9946, 13, 8456, 14, 204, 204, 264, 314, 888, 275, 3908, 10161, 204, 264, 830, 68, 816, 68, 10609, 68, 12216, 289, 645, 19, 3005, 13, 1123, 19, 3005, 13, 58, 17, 9115, 659, 628, 89, 14, 204, 204, 264, 314, 666, 273, 3135, 497, 275, 3908, 10161, 204, 264, 28877, 68, 19485, 68, 1695, 289, 1246, 19, 1362, 13, 668, 68, 816, 68, 10609, 68, 12216, 17, 2630, 34, 4162, 68, 1996, 68, 18419, 68, 1663, 68, 1695, 19, 3786, 17, 1112, 34, 4162, 68, 1915, 789, 12905, 374, 204, 204, 264, 407, 28877, 68, 19485, 68, 1695, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 510, 3630, 204, 264, 3688, 68, 553, 68, 546, 289, 5014, 10669, 20, 612, 79, 1257, 93, 266, 20, 4434, 20, 13799, 8451, 26, 7298, 20, 8967, 20, 5145, 70, 26, 7298, 20, 481, 20, 10975, 68, 6656, 68, 481, 19, 1775, 12, 204, 264, 6374, 68, 553, 68, 546, 289, 5014, 10669, 20, 612, 79, 1257, 93, 266, 20, 4434, 20, 13799, 8451, 26, 7298, 20, 8967, 20, 5145, 70, 26, 7298, 20, 481, 20, 804, 68, 4971, 68, 6656, 68, 481, 19, 1775, 12, 204, 204, 264, 314, 1385, 275, 3688, 329, 6374, 424, 204, 264, 3688, 68, 1695, 289, 1137, 68, 481, 13, 4591, 68, 553, 68, 546, 14, 204, 264, 6374, 68, 1695, 289, 1137, 68, 481, 13, 6124, 68, 553, 68, 546, 14, 204, 204, 264, 314, 666, 275, 27788, 14491, 570, 204, 264, 28877, 68, 19485, 68, 1695, 289, 838, 68, 982, 43594, 68, 2741, 299, 68, 809, 13, 6124, 68, 1695, 17, 37213, 68, 12051, 68, 18512, 56, 14, 204, 204, 264, 314, 666, 275, 48566, 570, 204, 264, 570, 289, 2656, 43594, 8865, 299, 1252, 41710, 13, 10815, 68, 19485, 68, 1695, 17, 3688, 68, 1695, 14, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 1449, 2616, 275, 800, 3779, 17, 572, 1120, 2280, 490, 1873, 1025, 970, 3576, 19, 204, 204, 1380, 5565, 368, 31, 12748, 275, 23596, 13288, 204, 204, 673, 800, 6884, 1581, 353, 31, 204, 23, 93, 3231, 465, 720, 93, 465, 571, 289, 500, 204, 204, 2310, 618, 2616, 808, 1581, 560, 23130, 521, 23149, 275, 2415, 19, 716, 204, 777, 10672, 368, 31, 31559, 777, 204, 204, 673, 1581, 618, 444, 22030, 448, 31, 204, 23, 93, 3231, 465, 435, 93, 465, 571, 93, 465, 571, 289, 500, 204, 23, 93, 13, 93, 465, 368, 14, 465, 571, 13, 93, 465, 368, 14, 289, 500, 204, 13, 23, 93, 465, 571, 3085, 93, 465, 368, 14, 289, 500, 204, 204, 1834, 4658, 451, 970, 2237, 5169, 31, 204, 93, 289, 338, 24, 20, 23, 521, 610, 289, 338, 22, 204, 204, 777, 10672, 435, 31, 9018, 1693, 275, 9748, 777, 204, 204, 1449, 4151, 275, 2415, 17, 572, 1043, 636, 14119, 302, 275, 3324, 3018, 31, 204, 23, 93, 3231, 465, 720, 93, 289, 338, 24, 204, 204, 9538, 17, 572, 2479, 685, 275, 5514, 302, 610, 3231, 31, 204, 23, 13, 93, 3231, 465, 720, 20, 23, 93, 14, 289, 338, 24, 204, 204, 12219, 17, 572, 881, 322, 25140, 275, 18271, 14, 4315, 302, 275, 4876, 3018, 8030, 31, 204, 23, 13, 93, 3231, 465, 720, 20, 23, 93, 465, 2019, 20, 1845, 14, 289, 338, 24, 465, 2019, 20, 29, 204, 204, 1834, 11388, 311, 31, 204, 23, 13, 93, 465, 720, 20, 25, 14, 3231, 289, 368, 20, 29, 204, 204, 20367, 1855, 2902, 560, 435, 31, 204, 13, 93, 465, 720, 20, 25, 14, 3231, 289, 368, 20, 1845, 204, 204, 24331, 275, 2415, 1610, 302, 1855, 2902, 31, 204, 93, 465, 720, 20, 25, 289, 8455, 22, 20, 25, 204, 204, 11471, 348, 610, 31, 204, 93, 289, 338, 26, 20, 25, 8455, 368, 20, 25, 204, 204, 1834, 4658, 451, 970, 2237, 5169, 31, 204, 93, 289, 338, 24, 20, 23, 521, 610, 289, 338, 22, 204, 204, 1380, 5565, 435, 31, 12748, 275, 45174, 18, 43339, 13288, 204, 204, 673, 800, 1581, 353, 31, 204, 93, 48359, 338, 681, 93, 9435, 338, 681, 4656, 289, 500, 204, 204, 2310, 529, 10571, 496, 273, 1988, 12034, 1283, 610, 289, 571, 19, 27, 329, 610, 289, 571, 19, 29, 19, 716, 204, 4592, 275, 1581, 353, 273, 17555, 18, 9210, 1581, 17, 490, 2950, 444, 9900, 6488, 974, 20482, 2986, 19, 3355, 17, 572, 618, 732, 8247, 2986, 311, 1020, 437, 13356, 1988, 19, 204, 204, 5842, 1702, 1216, 353, 275, 12841, 380, 1216, 521, 12462, 677, 1216, 19, 3355, 17, 275, 4710, 3214, 348, 1605, 2986, 529, 508, 6680, 3237, 17, 1101, 275, 6733, 353, 311, 34761, 6024, 437, 1419, 6255, 3119, 572, 25717, 311, 273, 1988, 19, 204, 204, 4931, 273, 8247, 1216, 521, 273, 6506, 17, 572, 618, 1020, 275, 1988, 311, 275, 1581, 610, 48359, 338, 681, 93, 9435, 338, 681, 4656, 289, 500, 17, 10205, 311, 435, 4048, 6759, 19, 716, 204, 7108, 31, 334, 4710, 1988, 1216, 353, 508, 1917, 3237, 17, 1101, 490, 5628, 974, 273, 8247, 1216, 1702, 448, 275, 12841, 380, 1216, 521, 12462, 677, 1216, 311, 1020, 275, 1610, 302, 275, 1581, 19, 0, 8, 265, 3278, 1011, 20, 3968, 19, 948, 204, 204, 315, 204, 3778, 1586, 348, 275, 265, 3278, 1011, 1650, 19, 204, 204, 1834, 2413, 8913, 275, 1274, 3758, 348, 275, 265, 3278, 1011, 1650, 19, 204, 315, 204, 204, 531, 1907, 19, 3968, 532, 832, 204, 531, 2617, 532, 5020, 204, 204, 8, 968, 273, 458, 302, 1274, 3758, 348, 275, 1650, 204, 11326, 31, 458, 289, 551, 204, 264, 314, 1274, 2679, 348, 275, 2941, 1472, 204, 264, 832, 14945, 5020, 19, 5164, 17, 588, 833, 5164, 2008, 204, 264, 314, 1274, 2679, 348, 275, 1465, 1472, 204, 264, 832, 611, 12519, 4750, 5020, 19, 12519, 17, 588, 833, 12519, 2008, 204, 264, 314, 1274, 2679, 348, 273, 3754, 1472, 322, 2569, 302, 5209, 1182, 3758, 14, 204, 264, 832, 611, 6451, 4750, 5020, 19, 6451, 17, 588, 833, 0 ]

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

[ 0, 6451, 2008, 204, 66, 204, 204, 8, 1165, 1265, 31, 204, 8, 2416, 881, 273, 717, 1274, 2679, 17, 7493, 6283, 273, 717, 832, 311, 275, 26760, 458, 19, 204, 8, 1765, 1763, 17, 311, 881, 273, 1274, 2679, 348, 273, 30333, 1472, 31, 204, 8, 832, 611, 1150, 86, 4750, 5020, 19, 1150, 86, 17, 588, 833, 1150, 86, 2008, 204, 0, 676, 7065, 989, 31, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 2667, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 268, 5043, 68, 14746, 322, 339, 330, 334, 575, 677, 5043, 4815, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 575, 68, 359, 31, 421, 17, 5043, 68, 14746, 31, 421, 289, 7569, 330, 204, 268, 320, 204, 268, 1865, 273, 7065, 989, 726, 19, 204, 204, 268, 457, 31, 204, 305, 575, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 575, 19, 204, 305, 5043, 68, 14746, 322, 339, 17, 1448, 330, 334, 575, 677, 5043, 4815, 19, 1243, 311, 7569, 19, 204, 268, 320, 204, 268, 370, 19, 816, 68, 359, 289, 575, 68, 359, 204, 268, 370, 19, 32820, 68, 14746, 289, 5043, 68, 14746, 204, 204, 264, 436, 1395, 68, 32820, 68, 14746, 13, 327, 17, 717, 68, 32820, 68, 14746, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 575, 677, 5043, 4815, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 32820, 68, 14746, 322, 339, 330, 334, 717, 5043, 4815, 700, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 717, 5043, 4815, 353, 273, 1097, 1534, 204, 268, 397, 508, 2381, 13, 1957, 68, 32820, 68, 14746, 17, 421, 330, 204, 305, 980, 987, 499, 46747, 4815, 1631, 444, 437, 1534, 431, 204, 822, 268, 314, 1716, 275, 5043, 4815, 204, 268, 370, 19, 32820, 68, 14746, 289, 717, 68, 32820, 68, 14746, 204, 204, 264, 436, 636, 68, 32820, 68, 14746, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3596, 275, 575, 677, 790, 5043, 4815, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 575, 677, 790, 5043, 4815, 19, 204, 268, 320, 204, 268, 407, 370, 19, 32820, 68, 14746, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 7065, 989, 726, 204, 264, 575, 68, 481, 289, 7065, 989, 13, 22, 14, 204, 204, 264, 314, 1198, 275, 1419, 5043, 4815, 204, 264, 456, 13, 75, 7, 6238, 5043, 4815, 31, 463, 816, 68, 481, 19, 505, 68, 32820, 68, 14746, 8050, 204, 204, 264, 314, 1716, 275, 5043, 4815, 204, 264, 575, 68, 481, 19, 2045, 68, 32820, 68, 14746, 13, 17507, 14, 204, 204, 264, 314, 1198, 275, 2908, 5043, 4815, 204, 264, 456, 13, 75, 7, 10510, 5043, 4815, 31, 463, 816, 68, 481, 19, 505, 68, 32820, 68, 14746, 8050, 204, 0, 531, 1498, 532, 1884, 17, 1061, 17, 783, 204, 204, 676, 5496, 23921, 31, 204, 264, 436, 589, 924, 889, 327, 17, 1104, 68, 417, 31, 394, 17, 3599, 68, 417, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 5496, 23921, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 268, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 19, 204, 268, 320, 204, 268, 370, 19, 2819, 68, 417, 289, 1104, 68, 417, 204, 268, 370, 19, 5763, 68, 417, 289, 3599, 68, 417, 204, 204, 264, 436, 1451, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 23763, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 1451, 275, 1104, 1727, 204, 268, 1879, 204, 204, 264, 436, 2694, 68, 5404, 68, 12484, 68, 3485, 13, 327, 17, 771, 68, 12295, 31, 421, 14, 393, 783, 64, 325, 744, 204, 268, 320, 204, 268, 27148, 7570, 424, 497, 275, 1104, 440, 273, 2689, 19, 204, 204, 268, 457, 31, 204, 268, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 7570, 424, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2694, 7570, 424, 497, 275, 1104, 204, 268, 1879, 204, 204, 264, 436, 2694, 68, 12061, 68, 45313, 68, 3485, 13, 327, 17, 771, 68, 12295, 31, 421, 14, 393, 1061, 64, 325, 17, 394, 744, 204, 268, 320, 204, 268, 27148, 32278, 497, 275, 1104, 440, 273, 2689, 19, 204, 204, 268, 457, 31, 204, 268, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 302, 32278, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 2694, 32278, 497, 275, 1104, 204, 268, 1879, 204, 204, 264, 436, 3671, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 20806, 275, 1104, 1727, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 3671, 275, 1104, 1727, 204, 268, 1879, 204, 204, 204, 461, 3752, 68, 13651, 68, 481, 13, 2819, 68, 417, 31, 394, 17, 3599, 68, 417, 31, 394, 17, 771, 68, 12295, 31, 421, 14, 393, 1884, 64, 1665, 64, 325, 17, 394, 648, 783, 64, 1218, 64, 325, 4395, 421, 744, 204, 264, 320, 204, 264, 11244, 7570, 424, 497, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 19, 204, 264, 338, 3599, 68, 417, 322, 325, 330, 334, 588, 302, 275, 3599, 19, 204, 264, 338, 771, 68, 12295, 322, 339, 330, 334, 542, 302, 6973, 311, 3752, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 927, 1174, 275, 32278, 955, 17, 275, 7570, 424, 17, 329, 275, 2641, 542, 302, 6973, 15801, 19, 204, 264, 320, 204, 264, 456, 499, 29070, 2484, 32278, 497, 275, 1104, 0 ]

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

[ 0, 6911, 7862, 204, 264, 810, 31, 204, 268, 314, 666, 273, 5496, 23921, 1014, 204, 268, 1863, 68, 20003, 289, 5496, 23921, 13, 2819, 68, 417, 17, 3599, 68, 417, 14, 204, 268, 1863, 68, 20003, 19, 3664, 374, 204, 822, 268, 314, 6579, 7570, 424, 329, 32278, 497, 275, 1104, 204, 268, 7570, 68, 481, 289, 1863, 68, 20003, 19, 4637, 68, 5404, 68, 12484, 68, 3485, 13, 920, 68, 12295, 14, 204, 268, 32278, 289, 1863, 68, 20003, 19, 4637, 68, 12061, 68, 45313, 68, 3485, 13, 920, 68, 12295, 14, 204, 822, 268, 314, 3325, 7570, 424, 204, 268, 4050, 68, 481, 289, 906, 1616, 68, 13651, 68, 481, 13, 13651, 68, 481, 17, 32278, 14, 204, 822, 268, 314, 5706, 275, 1104, 1727, 204, 268, 1863, 68, 20003, 19, 3529, 374, 204, 822, 268, 456, 499, 29070, 2484, 32278, 497, 275, 1104, 10689, 7862, 204, 268, 407, 32278, 17, 4050, 68, 481, 17, 1245, 13, 4971, 68, 481, 14, 204, 615, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 10775, 424, 31, 463, 74, 743, 204, 268, 407, 443, 17, 443, 17, 500, 204, 204, 204, 461, 906, 1616, 68, 13651, 68, 481, 13, 13651, 68, 481, 31, 783, 64, 325, 648, 32278, 31, 1061, 64, 325, 17, 394, 694, 393, 783, 64, 1218, 64, 325, 2440, 204, 264, 320, 204, 264, 9506, 275, 7570, 424, 19, 204, 204, 264, 457, 31, 204, 264, 338, 7570, 68, 481, 322, 1218, 64, 325, 1037, 334, 7570, 424, 19, 204, 264, 338, 32278, 322, 1665, 64, 325, 17, 394, 1037, 334, 32278, 19, 204, 204, 264, 475, 31, 204, 264, 338, 332, 458, 302, 4050, 7570, 424, 19, 204, 264, 320, 204, 264, 4050, 68, 481, 289, 1306, 204, 264, 348, 296, 17, 424, 292, 3209, 13, 13651, 68, 481, 330, 204, 268, 810, 31, 204, 305, 314, 3736, 275, 424, 560, 12937, 329, 2081, 685, 1392, 3157, 204, 305, 4050, 68, 481, 19, 1223, 1568, 93, 348, 610, 292, 424, 19, 1590, 22620, 397, 610, 694, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 5539, 424, 630, 1112, 463, 78, 2829, 463, 74, 743, 204, 305, 314, 3182, 3310, 25187, 204, 305, 397, 32278, 31, 204, 485, 32278, 19, 3377, 13, 655, 13, 45313, 19, 3261, 26041, 78, 694, 204, 615, 264, 407, 4050, 68, 481, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1104, 68, 417, 289, 388, 2569, 68, 2819, 7, 204, 264, 3599, 68, 417, 289, 388, 2569, 68, 5763, 7, 204, 264, 771, 68, 12295, 289, 931, 204, 615, 264, 32278, 17, 4050, 68, 481, 17, 771, 68, 75, 33969, 289, 3752, 68, 13651, 68, 481, 13, 2819, 68, 417, 17, 3599, 68, 417, 17, 771, 68, 12295, 14, 204, 264, 456, 13, 75, 7, 3488, 11941, 31, 463, 45313, 743, 204, 264, 456, 13, 75, 7, 29624, 1594, 31, 463, 4971, 68, 481, 743, 204, 264, 456, 13, 75, 7, 4290, 302, 6973, 15801, 31, 463, 920, 68, 75, 33969, 743, 204, 0, 647, 1400, 204, 647, 690, 204, 647, 1127, 204, 204, 461, 456, 68, 2052, 13, 2052, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1198, 275, 790, 1259, 302, 275, 2668, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 22, 7916, 1152, 463, 2052, 64, 23, 7916, 1152, 463, 2052, 64, 24, 7916, 2810, 204, 264, 456, 7783, 18, 16, 42015, 40086, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 25, 7916, 1152, 463, 2052, 64, 26, 7916, 1152, 463, 2052, 64, 27, 7916, 2810, 204, 264, 456, 7783, 18, 16, 42015, 40086, 204, 264, 456, 13, 75, 7, 463, 2052, 64, 28, 7916, 1152, 463, 2052, 64, 29, 7916, 1152, 463, 2052, 64, 30, 7916, 2810, 204, 204, 461, 4199, 68, 5321, 374, 393, 443, 31, 204, 264, 320, 204, 264, 9886, 275, 3645, 329, 456, 275, 1470, 1724, 19, 204, 264, 320, 204, 264, 1127, 19, 4038, 499, 5892, 431, 204, 264, 456, 499, 45662, 313, 3225, 18, 57, 2899, 18, 4403, 42, 10849, 33, 431, 204, 204, 461, 353, 68, 12794, 13, 2052, 31, 1135, 17, 2061, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 778, 397, 275, 800, 2061, 869, 6612, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 268, 2061, 322, 325, 330, 334, 2061, 311, 1356, 348, 322, 30619, 379, 61, 12, 521, 379, 52, 3930, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 2061, 869, 6612, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 9822, 68, 10383, 289, 6229, 22, 17, 435, 17, 571, 659, 322, 25, 17, 720, 17, 887, 659, 322, 28, 17, 1132, 17, 1233, 659, 322, 22, 17, 681, 17, 1168, 659, 322, 23, 17, 720, 17, 1132, 659, 322, 24, 17, 887, 17, 1233, 659, 322, 22, 17, 720, 17, 1233, 659, 322, 24, 17, 720, 17, 1168, 2395, 204, 264, 348, 5660, 292, 9822, 68, 10383, 31, 204, 268, 397, 830, 13, 2052, 64, 78, 66, 564, 2061, 348, 296, 292, 5660, 330, 204, 305, 407, 959, 204, 264, 407, 1078, 204, 204, 461, 636, 68, 6995, 68, 1766, 13, 2052, 31, 1135, 17, 2061, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3867, 273, 2284, 348, 275, 11290, 2061, 19, 204, 204, 264, 457, 31, 204, 268, 2668, 322, 873, 330, 332, 955, 2457, 275, 21237, 18, 25276, 18, 25681, 2668, 19, 204, 268, 2061, 322, 325, 330, 334, 2061, 311, 1895, 273, 2284, 348, 322, 30619, 379, 61, 12, 521, 379, 52, 3930, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 2284, 7540, 560, 275, 11290, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 11290, 618, 4033, 292, 275, 1682, 2284, 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, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 397, 2668, 64, 78, 66, 564, 388, 23454, 204, 305, 2668, 64, 78, 66, 289, 2061, 204, 305, 397, 353, 68, 12794, 13, 2052, 17, 2061, 330, 204, 485, 2668, 64, 78, 66, 289, 388, 388, 204, 485, 407, 296, 204, 305, 2668, 64, 78, 66, 289, 388, 388, 204, 615, 264, 314, 778, 397, 275, 3651, 2061, 618, 4033, 292, 275, 1682, 2284, 329, 2254, 1475, 204, 264, 13952, 289, 388, 52, 7, 397, 2061, 564, 388, 61, 7, 902, 388, 61, 7, 204, 264, 348, 296, 292, 933, 13, 22, 17, 931, 330, 204, 268, 397, 2668, 64, 78, 66, 564, 388, 23454, 204, 305, 2668, 64, 78, 66, 289, 13952, 204, 305, 397, 353, 68, 12794, 13, 2052, 17, 13952, 330, 204, 485, 2668, 64, 78, 66, 289, 388, 388, 204, 485, 407, 296, 204, 305, 2668, 64, 78, 66, 289, 388, 388, 204, 615, 264, 314, 3867, 273, 1400, 2284, 204, 264, 2755, 68, 10021, 289, 551, 78, 348, 296, 292, 933, 13, 22, 17, 931, 14, 397, 2668, 64, 78, 66, 564, 388, 388, 66, 204, 264, 407, 1400, 19, 4352, 13, 6772, 68, 10021, 14, 204, 204, 461, 636, 68, 816, 68, 1766, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 329, 3893, 275, 575, 677, 2284, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 7950, 2284, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 2284, 289, 421, 13, 768, 1447, 204, 305, 397, 368, 2186, 2284, 2186, 1233, 31, 204, 485, 407, 2284, 204, 305, 902, 31, 204, 485, 456, 499, 1962, 2284, 19, 2982, 2064, 273, 542, 1283, 368, 329, 1233, 1280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 273, 542, 1280, 204, 204, 461, 1470, 68, 271, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8406, 275, 1470, 19, 204, 264, 320, 204, 264, 2668, 289, 463, 78, 31, 388, 388, 348, 296, 292, 933, 13, 22, 17, 931, 4150, 204, 264, 790, 68, 3280, 289, 388, 61, 7, 204, 264, 1335, 959, 31, 204, 268, 4199, 68, 5321, 374, 204, 268, 456, 68, 2052, 13, 2052, 14, 204, 268, 397, 790, 68, 3280, 564, 388, 61, 559, 204, 305, 2284, 289, 636, 68, 816, 68, 1766, 374, 204, 305, 1335, 2668, 64, 1766, 66, 2167, 388, 23454, 204, 485, 456, 499, 1962, 2284, 19, 2982, 5710, 437, 1392, 2817, 1280, 204, 485, 2284, 289, 636, 68, 816, 68, 1766, 374, 204, 268, 902, 31, 204, 305, 2284, 289, 636, 68, 6995, 68, 1766, 13, 2052, 17, 790, 68, 3280, 14, 204, 305, 690, 19, 4867, 13, 23, 14, 204, 305, 456, 13, 75, 7, 22990, 19509, 2284, 463, 1766, 743, 204, 305, 690, 19, 4867, 13, 22, 14, 204, 268, 2668, 64, 1766, 66, 289, 790, 68, 3280, 204, 268, 397, 353, 68, 12794, 13, 2052, 17, 790, 68, 3280, 330, 204, 305, 4199, 68, 5321, 374, 204, 305, 456, 68, 2052, 13, 2052, 14, 204, 305, 456, 13, 75, 7, 8067, 463, 1976, 68, 3280, 98, 11716, 5397, 204, 305, 2280, 204, 268, 790, 68, 3280, 289, 388, 52, 7, 397, 790, 68, 3280, 564, 388, 61, 7, 902, 388, 61, 7, 204, 268, 397, 830, 13, 2052, 64, 78, 66, 2167, 388, 388, 348, 296, 292, 933, 13, 22, 17, 931, 4019, 204, 305, 4199, 68, 5321, 374, 204, 305, 456, 68, 2052, 13, 2052, 14, 204, 305, 456, 499, 3837, 677, 273, 19673, 5397, 204, 305, 2280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1470, 68, 271, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 531, 1907, 19, 1234, 19, 5678, 532, 6630, 204, 204, 676, 8187, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 3226, 19, 204, 204, 264, 1532, 31, 204, 268, 3226, 68, 1181, 322, 325, 330, 6581, 1576, 348, 275, 3226, 19, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 3226, 19, 204, 264, 320, 204, 264, 3226, 68, 1181, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 3749, 34, 1975, 17, 4247, 34, 1021, 14, 204, 264, 588, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 4808, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 14, 204, 204, 264, 850, 5694, 31, 204, 268, 2874, 68, 417, 289, 379, 16693, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 40, 1291, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 6266, 275, 588, 302, 275, 3226, 1279, 204, 268, 407, 370, 19, 417, 204, 204, 676, 14873, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 2457, 273, 575, 3680, 19, 204, 204, 264, 1532, 31, 204, 268, 3783, 68, 1190, 322, 325, 330, 16769, 542, 302, 275, 575, 19, 204, 268, 1995, 322, 325, 330, 11385, 302, 275, 575, 19, 204, 268, 575, 322, 2491, 330, 334, 575, 3610, 440, 275, 3680, 19, 204, 268, 3226, 322, 16693, 330, 334, 3226, 302, 275, 575, 19, 204, 264, 320, 204, 264, 3783, 68, 1190, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2353, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 14, 204, 264, 1995, 289, 1094, 19, 7320, 13, 8179, 34, 1021, 17, 4247, 34, 1021, 14, 204, 264, 575, 289, 1094, 19, 20748, 13, 2491, 17, 3749, 34, 1975, 17, 4247, 34, 1021, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 4531, 534, 204, 264, 3226, 289, 1094, 19, 4483, 13, 16693, 17, 3749, 34, 1975, 17, 4247, 34, 1975, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 16160, 534, 204, 204, 264, 850, 5694, 31, 204, 268, 2874, 68, 417, 289, 379, 2491, 11717, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 2491, 1158, 2375, 12, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 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, 320, 6266, 275, 782, 2355, 302, 275, 575, 1279, 204, 268, 407, 394, 13, 327, 19, 816, 14, 204, 204, 676, 14873, 3313, 13, 1618, 19, 3313, 330, 204, 264, 320, 204, 264, 15660, 850, 348, 14873, 570, 19, 204, 204, 264, 14068, 273, 1216, 311, 838, 273, 717, 575, 3680, 19, 204, 264, 320, 204, 264, 436, 838, 68, 4531, 13, 327, 17, 575, 31, 2221, 17, 3783, 68, 1190, 31, 394, 17, 1995, 31, 394, 17, 3226, 31, 8187, 17, 930, 2251, 14, 393, 379, 29308, 597, 204, 268, 320, 204, 268, 2605, 273, 717, 575, 3680, 19, 204, 204, 268, 457, 31, 204, 268, 338, 575, 322, 2491, 330, 334, 575, 3610, 440, 275, 3680, 19, 204, 268, 338, 3783, 68, 1190, 322, 325, 330, 334, 3783, 542, 302, 275, 575, 19, 204, 268, 338, 1995, 322, 325, 330, 334, 1995, 302, 275, 575, 19, 204, 268, 338, 3226, 322, 16693, 330, 334, 3226, 302, 275, 575, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1966, 3680, 1014, 19, 204, 204, 268, 1632, 31, 204, 268, 338, 6630, 31, 828, 275, 3680, 424, 353, 2872, 19, 204, 268, 338, 1319, 31, 828, 1169, 904, 908, 3459, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 666, 273, 717, 3680, 1014, 204, 305, 3680, 289, 370, 19, 809, 13, 204, 485, 575, 34, 816, 17, 3783, 68, 1190, 34, 4700, 68, 1190, 17, 1995, 34, 2820, 17, 3226, 34, 5419, 204, 305, 1179, 204, 305, 314, 3025, 275, 3680, 1014, 204, 305, 3680, 19, 2360, 374, 204, 305, 407, 3680, 204, 268, 827, 6630, 448, 318, 31, 204, 305, 314, 1426, 3587, 2744, 204, 305, 456, 13, 75, 7, 17189, 908, 31, 463, 74, 743, 204, 305, 980, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 1426, 904, 2805, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 980, 204, 204, 8, 13433, 275, 2363, 4000, 311, 275, 14873, 570, 204, 29308, 19, 2856, 289, 14873, 3313, 374, 204, 204, 8, 1165, 1265, 31, 204, 8, 666, 273, 717, 3226, 204, 5419, 289, 8187, 19, 2856, 19, 1510, 13, 5419, 68, 1181, 833, 25818, 40, 491, 588, 833, 6001, 6751, 8187, 534, 204, 204, 8, 666, 273, 717, 575, 204, 816, 289, 2221, 19, 2856, 19, 1510, 68, 816, 611, 12514, 491, 379, 12514, 37, 2569, 19, 1453, 491, 379, 1989, 534, 204, 204, 8, 666, 273, 717, 575, 3680, 204, 4531, 289, 14873, 19, 2856, 19, 1510, 68, 4531, 13, 816, 17, 379, 4326, 18, 7372, 18, 25820, 491, 379, 4326, 3338, 1200, 491, 3226, 14, 204, 0, 39, 280, 10118, 357, 299, 19910, 353, 13627, 273, 1574, 302, 24716, 4614, 17, 1101, 490, 618, 1425, 444, 273, 1574, 302, 12787, 904, 3490, 440, 275, 2667, 448, 2590, 19, 828, 872, 4006, 884, 89, 3106, 1214, 10520, 11050, 521, 397, 872, 529, 974, 273, 5027, 19042, 17, 496, 1741, 3253, 9233, 3490, 311, 275, 10520, 329, 24716, 19, 204, 3719, 872, 529, 41567, 5566, 1214, 32764, 15921, 336, 17, 3237, 529, 275, 1913, 7496, 10769, 204, 6714, 27989, 17737, 302, 275, 357, 299, 19910, 17, 8608, 302, 13916, 1144, 17, 5043, 4614, 529, 1429, 302, 275, 1910, 5337, 496, 618, 3253, 26336, 32764, 19, 1785, 1020, 275, 1913, 7496, 10769, 5566, 1214, 32764, 529, 26336, 19, 204, 22, 19, 41173, 16244, 28577, 204, 44, 15322, 1741, 15921, 336, 1330, 1250, 529, 22144, 756, 17, 329, 808, 3667, 11080, 1330, 1880, 5847, 311, 6618, 1017, 10520, 3106, 19, 332, 6273, 302, 1880, 770, 508, 19042, 275, 10520, 11050, 329, 808, 11337, 311, 10160, 12429, 18248, 32853, 17, 265, 514, 290, 329, 1675, 10321, 19, 6917, 496, 17, 275, 357, 299, 19910, 1120, 444, 22144, 756, 329, 4720, 17, 46014, 329, 25196, 329, 1675, 490, 15921, 5902, 630, 275, 3256, 34597, 1139, 6954, 19, 204, 23, 19, 46515, 302, 13916, 346, 204, 11641, 13139, 20166, 490, 448, 273, 4614, 17, 329, 490, 11080, 1330, 872, 4006, 884, 89, 2255, 5256, 12466, 329, 14828, 292, 1214, 8114, 19, 1058, 11337, 311, 27838, 17, 7150, 17, 275, 32764, 529, 26336, 8235, 329, 872, 618, 13395, 275, 10520, 19, 204, 24, 19, 4964, 27989, 17737, 302, 275, 357, 299, 19910, 204, 1834, 618, 11616, 2404, 302, 275, 16462, 269, 787, 41232, 521, 974, 273, 5027, 13720, 34858, 928, 618, 11268, 275, 32764, 19, 6263, 872, 1856, 444, 974, 273, 5571, 19042, 329, 872, 1856, 2652, 275, 13720, 34858, 292, 2589, 571, 5869, 19, 204, 25, 19, 706, 7390, 302, 13916, 1144, 204, 1834, 13916, 353, 273, 4883, 2479, 292, 275, 17397, 1693, 1352, 302, 5043, 292, 275, 2484, 19, 18911, 17, 1330, 13916, 1144, 353, 35312, 17, 275, 4190, 302, 26336, 523, 1429, 1085, 302, 275, 2484, 2317, 2864, 275, 32764, 2317, 353, 9104, 19, 592, 804, 1082, 7203, 75, 47413, 292, 2077, 2484, 353, 275, 667, 2139, 302, 808, 13916, 19, 828, 872, 1376, 16244, 22315, 348, 273, 2482, 690, 1250, 1741, 10353, 275, 33194, 7203, 75, 47413, 17, 329, 490, 2549, 2931, 275, 20720, 311, 15921, 336, 19, 204, 26, 19, 26039, 13546, 204, 2841, 353, 273, 4835, 933, 302, 26336, 9745, 19, 3433, 618, 444, 10604, 329, 296, 31954, 36434, 322, 522, 7843, 5576, 14, 2317, 2864, 377, 385, 702, 2298, 633, 1138, 323, 2893, 85, 15514, 17, 26279, 595, 10320, 13461, 4614, 17, 6623, 19, 928, 7529, 2077, 4303, 20720, 8206, 26336, 19, 334, 1043, 1051, 618, 444, 11821, 336, 1924, 26336, 32764, 19, 4087, 872, 1856, 6202, 8809, 26336, 32764, 2404, 1250, 618, 444, 273, 12237, 302, 1182, 9233, 3490, 19, 204, 27, 19, 5860, 5568, 302, 15781, 204, 18489, 490, 353, 9395, 2323, 311, 1020, 1880, 7497, 440, 14072, 9745, 1415, 1519, 311, 732, 11458, 16321, 2589, 2344, 19, 33263, 11458, 1702, 448, 31951, 266, 329, 279, 1927, 359, 1312, 2024, 496, 529, 800, 311, 6396, 630, 4190, 302, 5557, 5087, 521, 16078, 17, 11458, 800, 348, 46505, 17, 6427, 17, 35917, 17, 6623, 19, 618, 3253, 275, 357, 299, 19910, 311, 15921, 336, 19, 204, 28, 19, 25920, 20639, 10520, 521, 10520, 440, 437, 0 ]

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

[ 0, 40726, 2522, 302, 28184, 204, 1834, 1502, 302, 275, 10520, 618, 1895, 1475, 292, 37929, 348, 16622, 329, 275, 17533, 19042, 618, 3014, 311, 26336, 19, 25920, 20639, 10520, 618, 1425, 3014, 311, 22924, 3117, 1283, 7686, 10520, 19, 13923, 273, 722, 302, 496, 17, 490, 618, 3253, 275, 357, 299, 19910, 311, 3472, 35832, 18741, 329, 15921, 336, 8235, 1330, 572, 529, 46366, 5805, 19, 204, 29, 19, 41006, 4614, 204, 673, 16012, 353, 275, 667, 3389, 496, 12916, 1910, 3857, 17, 490, 4840, 437, 3287, 1085, 302, 275, 1352, 302, 401, 616, 1745, 292, 2077, 11883, 19, 4087, 1169, 5568, 302, 16012, 4614, 521, 14072, 11954, 2643, 496, 28298, 88, 275, 26225, 302, 275, 16012, 618, 3014, 311, 26336, 32764, 19, 204, 30, 19, 33263, 3003, 302, 6427, 204, 673, 2824, 1187, 302, 24758, 1702, 448, 604, 44559, 322, 32820, 6427, 14, 521, 3536, 2745, 37913, 5509, 322, 14331, 6427, 14, 618, 3253, 357, 299, 4089, 26336, 19, 26253, 1605, 9745, 11799, 4166, 17, 1422, 1741, 444, 1910, 904, 10769, 496, 618, 3014, 311, 4614, 302, 32764, 329, 2237, 26336, 2090, 24367, 732, 17, 7443, 17, 12772, 11861, 17, 14640, 17, 6623, 19, 204, 1003, 19, 552, 536, 4600, 3731, 292, 4598, 204, 1834, 618, 6743, 630, 1792, 14113, 292, 273, 10506, 884, 88, 3307, 17, 1702, 448, 1330, 2268, 14169, 2155, 20065, 17, 1882, 16981, 521, 1722, 8629, 43561, 18588, 19, 4171, 3731, 1425, 1336, 16321, 1882, 41283, 10482, 521, 1882, 275, 732, 302, 16244, 7254, 37907, 43758, 19, 552, 536, 4600, 38290, 7529, 275, 19671, 302, 26336, 497, 275, 357, 299, 4089, 20237, 19, 204, 3719, 872, 10065, 496, 1214, 357, 299, 19910, 353, 26336, 17, 1895, 437, 14319, 440, 1214, 406, 509, 269, 23502, 311, 4857, 316, 2075, 353, 12511, 1214, 32764, 311, 15921, 336, 19, 3665, 1120, 1519, 311, 1895, 4151, 5043, 683, 329, 6015, 17878, 17, 329, 5575, 311, 1214, 2407, 17, 275, 8634, 1120, 48385, 872, 273, 5519, 19, 0, 461, 636, 68, 11867, 68, 21113, 68, 17448, 13, 1630, 31, 458, 64, 339, 694, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 475, 275, 6726, 5992, 11336, 497, 275, 800, 458, 302, 886, 19, 204, 204, 264, 457, 31, 204, 264, 886, 31, 332, 458, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 1892, 2457, 275, 6726, 5992, 11336, 19, 204, 264, 320, 204, 264, 397, 508, 886, 31, 204, 268, 407, 1306, 204, 204, 264, 314, 977, 3330, 311, 1640, 275, 5466, 302, 480, 6906, 329, 36153, 204, 264, 5466, 289, 551, 22, 66, 540, 1245, 13, 1630, 14, 204, 264, 36153, 289, 551, 3170, 66, 540, 1245, 13, 1630, 14, 204, 204, 264, 314, 3963, 275, 5466, 302, 480, 6906, 329, 36153, 204, 264, 348, 296, 292, 933, 13, 22, 17, 1245, 13, 1630, 4019, 204, 268, 348, 781, 292, 933, 13, 78, 330, 204, 305, 397, 886, 64, 78, 66, 1323, 886, 64, 79, 66, 329, 5466, 64, 78, 66, 962, 5466, 64, 79, 66, 465, 368, 31, 204, 485, 5466, 64, 78, 66, 289, 5466, 64, 79, 66, 465, 368, 204, 485, 36153, 64, 78, 66, 289, 781, 204, 204, 264, 314, 1752, 275, 1112, 302, 275, 1673, 1103, 292, 275, 480, 6906, 204, 264, 846, 68, 1205, 68, 3443, 289, 846, 13, 2307, 13, 1796, 13, 7538, 3917, 896, 34, 3605, 296, 31, 5466, 64, 78, 694, 204, 204, 264, 314, 27573, 275, 480, 6906, 204, 264, 11336, 289, 1306, 204, 264, 1335, 846, 68, 1205, 68, 3443, 353, 508, 443, 31, 204, 268, 11336, 19, 1223, 13, 1630, 64, 1129, 68, 1205, 68, 3443, 694, 204, 268, 846, 68, 1205, 68, 3443, 289, 36153, 64, 1129, 68, 1205, 68, 3443, 66, 204, 204, 264, 314, 455, 275, 480, 6906, 292, 275, 1706, 1552, 204, 264, 407, 11336, 12658, 22, 66, 204, 204, 204, 461, 456, 68, 1300, 13, 17448, 31, 458, 64, 339, 694, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1277, 302, 275, 11336, 17, 8367, 560, 275, 11336, 5398, 19, 204, 204, 264, 457, 31, 204, 264, 11336, 31, 332, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 456, 13, 1796, 13, 17448, 602, 204, 264, 456, 611, 3759, 1541, 13, 1608, 13, 325, 17, 11336, 3694, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 810, 31, 204, 268, 771, 68, 3337, 289, 421, 13, 768, 1447, 204, 268, 537, 68, 1630, 289, 458, 13, 1608, 13, 339, 17, 537, 1528, 1590, 5887, 204, 268, 11336, 289, 636, 68, 11867, 68, 21113, 68, 17448, 13, 768, 68, 1630, 14, 204, 268, 456, 68, 1300, 13, 17448, 14, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 9554, 9024, 22014, 16659, 31, 204, 264, 436, 353, 68, 5747, 68, 522, 68, 13579, 13, 327, 17, 542, 31, 421, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 800, 542, 353, 273, 2347, 302, 3420, 19, 204, 204, 268, 457, 31, 204, 305, 542, 322, 339, 330, 334, 537, 542, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 542, 353, 273, 2347, 302, 3420, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 542, 353, 2202, 1194, 521, 1936, 311, 500, 17, 521, 397, 490, 677, 508, 273, 2347, 302, 435, 204, 268, 314, 332, 542, 353, 273, 2347, 302, 435, 397, 490, 869, 6488, 1051, 379, 22, 12, 4577, 292, 1163, 2510, 2355, 204, 268, 397, 542, 2186, 500, 521, 322, 1190, 2343, 322, 1190, 338, 368, 602, 2167, 500, 31, 204, 305, 407, 1078, 204, 822, 268, 314, 778, 397, 275, 542, 302, 7152, 1877, 275, 379, 22, 12, 4577, 353, 2219, 204, 268, 314, 1058, 353, 6414, 311, 9101, 397, 275, 1502, 302, 275, 379, 22, 12, 4577, 353, 4069, 322, 22, 18, 14585, 14, 204, 268, 407, 322, 1190, 19, 3395, 68, 1205, 374, 338, 368, 14, 1564, 435, 564, 500, 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, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 18935, 289, 9554, 9024, 22014, 16659, 374, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 1845, 602, 226, 314, 959, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 1036, 602, 226, 314, 1078, 204, 264, 456, 13, 16277, 19, 360, 68, 5747, 68, 522, 68, 13579, 13, 2562, 602, 226, 314, 959, 204, 0, 3728, 3756, 1622, 1150, 418, 1001, 1869, 311, 27640, 619, 16859, 18457, 36, 10303, 311, 1910, 1704, 588, 353, 18422, 94, 13912, 440, 6068, 17, 566, 8699, 1704, 3307, 884, 88, 1225, 448, 273, 1813, 348, 273, 1988, 311, 275, 1199, 427, 18, 19895, 16188, 302, 13082, 19, 204, 673, 5946, 13673, 302, 4719, 12464, 9186, 28533, 808, 1813, 560, 275, 12178, 23940, 17, 35516, 17, 45563, 329, 4361, 44294, 292, 1163, 25331, 27640, 619, 16859, 18457, 31, 334, 9554, 302, 15787, 497, 9402, 2247, 311, 11047, 435, 19, 204, 14625, 72, 3987, 1704, 4811, 21875, 578, 17364, 329, 19742, 21960, 17, 275, 17216, 6924, 1405, 1025, 16859, 18457, 677, 10312, 311, 7260, 5169, 311, 4361, 329, 7546, 6705, 302, 275, 2344, 19, 2935, 7962, 1110, 353, 273, 11695, 33539, 302, 275, 12178, 35516, 302, 6939, 22169, 22454, 329, 346, 416, 591, 19, 204, 6739, 730, 382, 18401, 1785, 299, 3360, 5366, 1335, 16859, 18457, 677, 719, 71, 3548, 299, 292, 437, 18450, 608, 10641, 4316, 1966, 437, 292, 16604, 627, 12464, 6572, 17, 566, 1425, 6183, 1465, 13082, 292, 27949, 3099, 31, 13082, 292, 2888, 1378, 541, 17, 329, 13082, 292, 4886, 329, 2077, 9665, 884, 88, 9231, 19, 1622, 13203, 884, 88, 275, 14885, 496, 572, 3120, 311, 1704, 3307, 292, 808, 25331, 31887, 7990, 529, 275, 18114, 572, 3020, 3850, 306, 5243, 2772, 440, 13082, 302, 1051, 5568, 521, 3161, 3582, 204, 5274, 271, 619, 16859, 18457, 31, 334, 9554, 302, 15787, 23104, 3896, 440, 2075, 1784, 874, 1742, 1704, 1607, 427, 13694, 808, 9907, 2019, 17, 273, 34944, 2545, 11022, 560, 10993, 12131, 88, 17, 275, 35319, 17, 329, 10619, 14906, 3332, 275, 2688, 19, 204, 23326, 82, 17, 13453, 17, 6072, 17, 15924, 12784, 17, 4316, 781, 6035, 8495, 17, 12208, 18, 398, 3703, 329, 273, 8415, 26599, 1335, 25610, 529, 4751, 275, 2696, 27835, 299, 275, 2501, 16859, 18457, 13069, 329, 20176, 292, 275, 42410, 2007, 3780, 302, 1704, 2344, 19, 204, 5399, 529, 273, 970, 1182, 15362, 292, 273, 3697, 4466, 7778, 1924, 273, 1429, 302, 275, 22442, 440, 17216, 692, 730, 382, 18401, 1785, 299, 3360, 19, 204, 39, 1349, 18457, 13069, 7239, 273, 14085, 439, 4225, 3155, 302, 275, 1199, 427, 6129, 496, 6999, 5179, 6482, 8392, 329, 275, 32805, 17, 275, 30412, 6482, 17, 275, 26901, 6482, 329, 4361, 2652, 19, 334, 25331, 630, 275, 5946, 13673, 302, 4719, 12464, 9186, 5570, 12438, 675, 1662, 1605, 3403, 3780, 36431, 808, 4719, 2347, 7055, 17, 329, 17, 292, 3638, 17, 1662, 16859, 18457, 1376, 275, 2347, 302, 6068, 311, 11108, 1475, 19, 0, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 763, 437, 14202, 2231, 497, 275, 575, 19, 204, 204, 264, 9799, 15162, 275, 575, 348, 537, 3119, 379, 409, 12, 353, 6027, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 537, 499, 3383, 437, 14202, 2231, 322, 276, 379, 409, 12, 311, 12363, 330, 2810, 204, 268, 397, 575, 68, 768, 19, 3006, 374, 564, 388, 409, 559, 204, 305, 456, 499, 5191, 15413, 431, 204, 305, 407, 443, 204, 268, 407, 575, 68, 768, 204, 204, 461, 1020, 68, 8764, 13, 7629, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 1112, 302, 275, 4708, 292, 275, 2231, 19, 204, 204, 264, 457, 31, 204, 268, 2231, 322, 325, 330, 334, 14202, 2231, 311, 1813, 348, 437, 4708, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1112, 302, 275, 4708, 17, 521, 338, 22, 397, 508, 1193, 19, 204, 264, 320, 204, 264, 314, 968, 275, 6300, 10496, 204, 264, 10496, 289, 3134, 24053, 43924, 48029, 6040, 1339, 204, 264, 314, 1861, 1048, 848, 4708, 329, 1020, 1163, 1112, 292, 275, 2231, 204, 264, 348, 4708, 292, 10496, 31, 204, 268, 1112, 289, 2231, 19, 2269, 13, 8764, 14, 204, 268, 397, 1112, 2167, 338, 22, 31, 204, 305, 407, 1112, 204, 264, 407, 338, 22, 204, 204, 461, 949, 68, 7629, 13, 7629, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 888, 275, 722, 302, 275, 14202, 2231, 19, 204, 204, 264, 457, 31, 204, 268, 2231, 322, 325, 330, 334, 14202, 2231, 311, 949, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1752, 275, 1112, 302, 275, 4708, 292, 275, 2231, 204, 264, 4708, 68, 998, 289, 1020, 68, 8764, 13, 7629, 14, 204, 264, 397, 4708, 68, 998, 564, 338, 22, 31, 204, 268, 456, 499, 1962, 2901, 431, 204, 268, 407, 204, 204, 264, 810, 31, 204, 268, 314, 1986, 275, 886, 329, 4708, 497, 275, 2231, 204, 268, 771, 22, 289, 421, 13, 7629, 2022, 8764, 68, 998, 694, 204, 268, 4708, 289, 2231, 64, 8764, 68, 998, 66, 204, 268, 771, 23, 289, 421, 13, 7629, 64, 8764, 68, 998, 465, 368, 10101, 204, 204, 268, 314, 3055, 275, 4183, 1609, 523, 275, 4708, 204, 268, 397, 4708, 564, 20575, 559, 204, 305, 722, 289, 771, 22, 465, 771, 23, 204, 268, 1677, 4708, 564, 42562, 204, 305, 722, 289, 771, 22, 338, 771, 23, 204, 268, 1677, 4708, 564, 17203, 559, 204, 305, 722, 289, 771, 22, 540, 771, 23, 204, 268, 1677, 4708, 564, 6040, 559, 204, 305, 397, 771, 23, 564, 500, 31, 204, 485, 456, 499, 596, 31, 11942, 560, 2962, 431, 204, 485, 407, 204, 305, 722, 289, 771, 22, 802, 771, 23, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 13, 75, 1954, 920, 22, 98, 463, 8764, 98, 463, 920, 23, 98, 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, 463, 1300, 743, 204, 264, 827, 987, 31, 204, 268, 456, 499, 1962, 537, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 204, 264, 9799, 15162, 275, 575, 348, 14202, 7277, 329, 9111, 275, 1563, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 575, 68, 768, 289, 636, 68, 816, 68, 768, 374, 204, 268, 397, 575, 68, 768, 353, 443, 31, 204, 305, 2280, 204, 268, 949, 68, 7629, 13, 816, 68, 768, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 6714, 25627, 11623, 308, 1299, 281, 2264, 1694, 204, 673, 17187, 412, 349, 3391, 302, 28188, 78, 14683, 40124, 8349, 30078, 204, 31813, 1233, 427, 338, 11157, 887, 427, 17, 17781, 204, 6739, 730, 31, 6834, 19, 41377, 6495, 387, 9614, 204, 46508, 17187, 412, 349, 3391, 204, 7020, 275, 24951, 302, 9064, 17, 523, 9402, 571, 10988, 17, 275, 552, 4732, 18, 1155, 88, 6670, 17, 275, 412, 7774, 42678, 17, 5178, 2481, 292, 12668, 17, 292, 928, 14760, 3391, 874, 273, 2824, 4263, 311, 1370, 19, 204, 673, 29282, 29503, 292, 275, 1598, 427, 6129, 17, 1330, 275, 33379, 1372, 23979, 275, 11311, 302, 9064, 329, 9750, 311, 4968, 1017, 18149, 19, 3433, 2927, 36960, 17, 1567, 328, 2018, 14760, 3391, 302, 4960, 521, 23821, 329, 16470, 756, 1475, 523, 275, 10469, 17, 292, 275, 11132, 496, 1250, 1784, 7918, 5501, 5726, 29341, 329, 14759, 440, 1475, 448, 1250, 297, 1378, 25597, 275, 2263, 19, 4087, 496, 275, 4960, 303, 7774, 869, 6202, 1742, 273, 1656, 677, 1370, 3375, 17, 1101, 6216, 273, 1125, 82, 311, 6156, 1163, 21538, 19, 204, 5019, 275, 1729, 690, 17, 275, 43916, 34881, 7988, 311, 28498, 1017, 13182, 440, 32008, 14760, 3391, 17, 848, 1874, 5912, 273, 4985, 302, 275, 35904, 677, 11603, 17, 292, 1552, 311, 44282, 275, 28994, 19, 3433, 6999, 275, 35904, 329, 275, 1149, 1023, 17, 2327, 9911, 19860, 1372, 17, 5544, 37137, 17, 970, 45697, 17, 329, 2327, 36920, 19, 204, 5039, 275, 2181, 7568, 17, 1605, 14760, 3391, 6802, 1182, 329, 1182, 44343, 17, 329, 275, 2363, 6813, 311, 830, 15321, 302, 8295, 19, 4161, 275, 21465, 302, 9402, 571, 10988, 17, 22202, 329, 35240, 1466, 23124, 22383, 273, 5680, 4720, 6280, 348, 275, 23516, 11502, 17, 31438, 32242, 301, 311, 275, 24090, 17, 329, 19410, 33310, 311, 275, 2804, 302, 23982, 1415, 2080, 1742, 26055, 311, 1017, 13182, 19, 204, 673, 2363, 7486, 1163, 1853, 1882, 275, 26278, 302, 275, 2541, 1312, 350, 1245, 815, 322, 2314, 9783, 18, 2132, 7879, 659, 1415, 2080, 1910, 35240, 17, 1245, 815, 12894, 12668, 311, 566, 14261, 497, 830, 7066, 8142, 560, 44282, 299, 275, 33012, 302, 275, 1553, 42314, 2688, 329, 275, 11603, 17, 830, 275, 10569, 302, 275, 11623, 2501, 302, 3307, 19, 204, 3609, 10974, 440, 14760, 3391, 17, 5680, 11488, 11712, 275, 9293, 11845, 348, 10212, 11488, 329, 348, 4598, 338, 13204, 16871, 17, 275, 17113, 32276, 17, 329, 4960, 18, 7951, 299, 322, 17843, 16051, 789, 204, 673, 14760, 3391, 292, 275, 7809, 12, 11522, 302, 471, 2663, 322, 9798, 353, 3303, 41668, 14, 1466, 508, 15434, 17, 448, 1466, 3153, 311, 444, 1193, 292, 275, 32624, 40566, 630, 37884, 3517, 19, 13923, 275, 14760, 3391, 16470, 756, 523, 275, 19631, 560, 275, 33379, 1372, 448, 1125, 1015, 17, 1250, 1466, 2927, 302, 4960, 19, 4171, 4960, 14760, 3391, 1466, 40959, 329, 47210, 19, 552, 4115, 867, 2927, 497, 8508, 1059, 1153, 4960, 17, 329, 275, 14693, 866, 11045, 1466, 9029, 311, 848, 2523, 19, 334, 4131, 302, 275, 724, 26535, 84, 12992, 1320, 1466, 2927, 302, 39343, 521, 9425, 4960, 5575, 311, 275, 39521, 5035, 302, 9293, 22962, 19, 334, 14760, 3391, 1466, 2927, 1182, 28263, 560, 3358, 1128, 1282, 1320, 302, 4581, 4960, 406, 29474, 521, 560, 16166, 292, 275, 9621, 329, 11484, 88, 334, 11623, 1731, 747, 348, 1017, 14760, 3391, 448, 2577, 16275, 17, 329, 2927, 6430, 496, 1250, 3756, 508, 5573, 1025, 275, 33596, 8650, 302, 2637, 2804, 19, 1131, 275, 1136, 302, 275, 471, 2663, 3155, 322, 1845, 7432, 18, 1916, 6996, 659, 329, 292, 4539, 630, 275, 7830, 302, 275, 4467, 78, 8739, 15606, 322, 2132, 6996, 18, 1794, 1258, 789, 275, 1838, 302, 4461, 4960, 14760, 3391, 6802, 273, 47489, 18, 834, 20551, 348, 10299, 19, 204, 837, 11623, 17, 275, 4960, 14760, 3391, 529, 3556, 448, 379, 38, 656, 18, 3804, 365, 18, 1240, 14683, 12, 322, 38, 656, 18, 3804, 365, 338, 731, 4418, 21781, 32, 300, 299, 14683, 338, 303, 7774, 789, 4168, 275, 731, 4418, 9348, 17470, 17, 1704, 5680, 37880, 22062, 1704, 14310, 448, 388, 9277, 21781, 2948, 334, 19416, 302, 1605, 2637, 11488, 867, 311, 3472, 273, 308, 10119, 329, 14709, 275, 13654, 308, 1299, 281, 357, 938, 17, 754, 1250, 2927, 4960, 14760, 3391, 292, 308, 10119, 677, 22962, 226, 152, 128, 338, 928, 353, 5566, 275, 4960, 14760, 3391, 529, 754, 6860, 19, 204, 5039, 440, 904, 7458, 46851, 292, 12668, 17, 275, 4960, 14760, 3391, 618, 444, 27576, 5575, 311, 275, 1864, 292, 928, 1250, 529, 1966, 17, 560, 1017, 1187, 17, 28101, 1546, 17, 329, 6060, 19, 4657, 482, 302, 275, 9293, 14760, 3391, 874, 1236, 2048, 17, 12063, 754, 496, 11243, 618, 3020, 1017, 3346, 19359, 292, 275, 303, 7774, 19, 5860, 14760, 3391, 3638, 1017, 35283, 523, 275, 19543, 17, 275, 4037, 311, 2037, 1017, 9293, 14693, 866, 11045, 19, 334, 11879, 529, 2927, 302, 23270, 9811, 440, 5624, 4960, 17, 329, 275, 14693, 866, 2859, 11138, 3287, 22641, 311, 275, 2523, 329, 4849, 302, 275, 4368, 6717, 19, 204, 26719, 14760, 3391, 560, 275, 8536, 28188, 78, 14683, 40124, 8349, 30078, 17, 329, 17214, 273, 6592, 11651, 302, 10446, 529, 311, 444, 5298, 292, 808, 25331, 19, 3433, 1173, 2724, 497, 12092, 17, 12400, 17, 3511, 17, 329, 275, 6450, 3307, 302, 275, 4109, 10482, 19, 334, 14760, 3391, 12, 18379, 353, 44343, 17, 273, 317, 3498, 24548, 311, 275, 17898, 578, 22962, 302, 560, 42180, 3054, 19, 334, 14760, 0 ]

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

[ 0, 3391, 2457, 10557, 21475, 497, 275, 47758, 633, 1851, 302, 275, 1144, 429, 30866, 334, 26979, 838, 273, 275, 269, 9091, 23925, 560, 3210, 302, 1017, 20252, 7277, 17, 1017, 1895, 18, 398, 329, 24026, 17, 329, 1017, 406, 9779, 1491, 2264, 22634, 19, 5610, 808, 25040, 311, 1895, 275, 4960, 14760, 3391, 437, 1838, 798, 928, 353, 3667, 8551, 311, 275, 1838, 302, 21246, 331, 5183, 19, 204, 48, 449, 78, 14683, 40124, 8349, 30078, 338, 29357, 302, 275, 17187, 412, 7774, 204, 48, 449, 78, 14683, 40124, 8349, 30078, 867, 9596, 292, 41668, 292, 35383, 19, 6917, 38061, 2223, 3859, 292, 2416, 94, 9268, 78, 16186, 292, 39439, 2268, 7988, 311, 4309, 275, 1838, 302, 4461, 16751, 14760, 3391, 17, 329, 35987, 311, 3472, 273, 303, 7774, 18, 9976, 19, 3355, 1330, 17, 292, 43674, 17, 2268, 17470, 2135, 78, 842, 78, 40124, 8349, 30078, 17, 2268, 2080, 311, 38930, 2830, 19416, 19, 6234, 9453, 311, 9340, 440, 2830, 19435, 17, 1415, 6802, 273, 11623, 4886, 11836, 292, 4560, 366, 44242, 19, 592, 40252, 17, 1877, 566, 867, 12657, 292, 275, 10110, 5179, 6482, 17, 24909, 19, 40124, 8349, 30078, 8885, 311, 12668, 440, 2830, 8453, 329, 2830, 970, 2804, 19, 204, 837, 12668, 2268, 10365, 448, 273, 22962, 9976, 311, 2886, 2830, 4316, 329, 8402, 719, 2830, 2804, 19, 1765, 830, 496, 17, 2268, 31317, 2830, 8336, 302, 275, 4960, 14760, 3391, 19, 592, 37294, 17, 630, 275, 2523, 302, 7332, 17, 2268, 15101, 4960, 18, 73, 7774, 9511, 630, 273, 3859, 292, 41668, 19, 24909, 19, 40124, 8349, 30078, 677, 14760, 3391, 1466, 754, 13654, 496, 2830, 23982, 10471, 2669, 2830, 311, 11524, 1475, 4440, 19, 592, 1552, 311, 7324, 275, 14760, 3391, 348, 2830, 23982, 17, 2268, 7988, 311, 6723, 2830, 16922, 19, 592, 275, 20098, 543, 2830, 14760, 3391, 2080, 1236, 2048, 17, 329, 1017, 18379, 867, 3060, 3277, 19, 40581, 3483, 19, 24909, 19, 40124, 8349, 30078, 7988, 311, 3440, 14760, 3391, 10819, 497, 275, 2787, 14148, 14683, 18, 74, 17, 275, 9293, 11623, 5538, 19, 6234, 353, 8578, 12912, 292, 275, 11073, 379, 2115, 4271, 4598, 12, 322, 7803, 79, 266, 18, 5352, 789, 24909, 19, 40124, 8349, 30078, 353, 437, 12610, 523, 275, 14693, 866, 11045, 329, 18379, 928, 1466, 17898, 578, 292, 12668, 1882, 275, 471, 2663, 3155, 322, 1845, 7432, 18, 2132, 6996, 789, 592, 3153, 3054, 18379, 329, 11622, 1466, 17442, 592, 30034, 440, 275, 4361, 1714, 329, 20551, 302, 275, 4598, 19, 6917, 7947, 8321, 19, 24909, 19, 40124, 8349, 30078, 867, 6666, 5096, 311, 838, 275, 9029, 401, 7583, 981, 329, 3695, 302, 22962, 17, 2219, 7239, 2268, 867, 10571, 496, 1250, 1466, 1236, 6397, 292, 17898, 19, 15601, 2268, 17356, 1662, 311, 838, 1429, 26957, 401, 7583, 981, 329, 2264, 22634, 17, 830, 497, 4960, 19, 6234, 869, 2927, 17, 311, 1489, 17, 1429, 2327, 7584, 4960, 14760, 3391, 17, 302, 928, 1051, 7584, 529, 11656, 292, 808, 25331, 19, 0, 25798, 496, 848, 7380, 1066, 302, 273, 32403, 3196, 302, 1950, 18, 4721, 3099, 2950, 15464, 275, 1066, 302, 275, 3196, 19, 204, 204, 3661, 13257, 1303, 1859, 83, 34, 22, 23011, 6785, 273, 68, 83, 3266, 444, 273, 32403, 3196, 302, 1950, 18, 4721, 3099, 17, 329, 1163, 1066, 353, 13772, 560, 11645, 56, 34213, 5486, 11645, 56, 68, 80, 3266, 444, 275, 11645, 80, 3266, 18, 427, 7380, 1066, 302, 275, 3196, 19, 204, 204, 1449, 7647, 496, 13257, 35880, 724, 65, 266, 65, 8711, 392, 17, 387, 68, 80, 65, 9484, 387, 36857, 572, 618, 732, 275, 2631, 3979, 31, 204, 204, 15560, 11645, 56, 68, 83, 1323, 387, 3266, 348, 1429, 11645, 83, 34213, 5486, 13257, 9458, 289, 688, 1209, 96, 56, 68, 83, 338, 387, 1134, 23, 47948, 4596, 4790, 302, 11645, 56, 36857, 1422, 2560, 437, 1534, 11645, 51, 3266, 1702, 496, 11645, 97, 56, 68, 80, 338, 387, 97, 962, 688, 9458, 3266, 348, 830, 11645, 80, 688, 13547, 392, 34213, 204, 204, 4592, 11645, 97, 56, 68, 83, 338, 387, 97, 289, 387, 68, 83, 338, 387, 289, 435, 65, 9458, 1323, 688, 9458, 36857, 11645, 51, 3266, 1631, 444, 3114, 1194, 11645, 83, 34213, 716, 204, 4063, 17, 2506, 11645, 56, 68, 51, 289, 387, 68, 83, 465, 273, 1859, 83, 16, 22, 98, 465, 688, 18455, 465, 273, 68, 51, 34213, 4682, 11645, 70, 68, 78, 688, 13547, 500, 3266, 348, 830, 11645, 78, 36857, 572, 874, 11645, 56, 68, 51, 688, 13547, 387, 68, 83, 34213, 204, 204, 1834, 10600, 11645, 97, 56, 68, 51, 338, 387, 97, 289, 322, 56, 68, 51, 338, 387, 68, 83, 14, 465, 322, 56, 68, 83, 338, 387, 14, 688, 13547, 387, 68, 83, 338, 387, 1323, 688, 9458, 36857, 928, 353, 273, 22539, 19, 204, 204, 4356, 17, 2077, 17455, 11645, 56, 68, 83, 1323, 387, 3266, 1631, 444, 7463, 17, 329, 572, 13187, 496, 11645, 56, 68, 80, 688, 9484, 387, 3266, 348, 830, 11645, 80, 688, 266, 688, 8711, 96, 51, 47948, 0, 38, 20948, 869, 19925, 496, 275, 18456, 3585, 17496, 17, 311, 928, 572, 529, 3060, 15216, 311, 17, 874, 1425, 21749, 1048, 275, 2181, 3522, 1163, 24195, 2090, 275, 11091, 302, 19731, 11340, 19, 204, 11354, 19738, 329, 6309, 529, 970, 1792, 12759, 302, 6218, 329, 1741, 6743, 10178, 31932, 1101, 448, 4935, 448, 1352, 302, 4383, 302, 3585, 17496, 529, 15502, 17, 1250, 1741, 5316, 3557, 311, 16031, 11091, 302, 11340, 19, 204, 4270, 16723, 3300, 21013, 17, 273, 16616, 22585, 630, 29987, 4639, 292, 31914, 8013, 17, 7136, 18837, 17, 7168, 275, 3220, 329, 14996, 311, 3120, 275, 9989, 302, 11258, 311, 11091, 302, 13994, 88, 4440, 19, 204, 3070, 3300, 21013, 17, 11091, 353, 508, 2842, 273, 16031, 19012, 448, 490, 353, 1236, 1182, 33734, 311, 275, 7497, 20135, 19, 204, 7937, 21013, 17, 292, 1704, 4960, 17, 16343, 1662, 275, 5128, 281, 7422, 302, 19669, 7168, 311, 275, 11091, 302, 34109, 25377, 884, 13994, 88, 311, 5319, 884, 88, 16686, 5166, 74, 299, 1168, 7849, 88, 19, 204, 673, 7156, 302, 5128, 281, 3938, 867, 7001, 560, 3300, 0 ]

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

[ 0, 21013, 292, 275, 14667, 88, 19, 204, 13127, 311, 275, 3938, 17, 275, 2665, 329, 4147, 302, 830, 3714, 5194, 17, 3855, 7497, 521, 8227, 17, 31060, 292, 1702, 273, 2501, 448, 311, 1308, 5634, 3498, 9509, 3073, 311, 275, 3714, 302, 21675, 17, 2090, 3585, 17, 2263, 17, 5043, 521, 12387, 17, 2614, 1475, 19, 204, 11594, 292, 275, 1322, 302, 19731, 7160, 496, 4362, 2788, 884, 353, 1017, 6438, 3332, 275, 2688, 17, 292, 3585, 17496, 490, 353, 275, 6438, 302, 1880, 19, 334, 22585, 14450, 275, 5035, 302, 48764, 12550, 14107, 3585, 17496, 311, 5193, 623, 275, 7549, 302, 275, 1880, 292, 6488, 275, 1729, 2501, 448, 11340, 19, 204, 12306, 299, 11091, 273, 6015, 19012, 17, 3300, 21013, 3252, 496, 3731, 292, 7160, 4440, 18202, 560, 6015, 9989, 19, 28682, 302, 11340, 8788, 523, 48764, 12550, 19, 204, 990, 46, 3480, 311, 22889, 4949, 1880, 496, 11091, 17, 928, 353, 275, 2652, 292, 2484, 2665, 1048, 690, 17, 39418, 1236, 23662, 1283, 275, 970, 28814, 302, 19738, 329, 11258, 4412, 3300, 21013, 3252, 19, 204, 41040, 27196, 486, 17, 1415, 6709, 28840, 47985, 630, 275, 4639, 302, 8105, 22136, 292, 48137, 17, 11053, 17, 869, 273, 1792, 15530, 1465, 3300, 21013, 884, 88, 4601, 496, 1710, 6711, 88, 19073, 1283, 24140, 4383, 329, 16031, 11091, 19, 204, 990, 39, 20142, 11091, 353, 508, 13090, 17, 1422, 353, 1236, 5210, 17, 1236, 16718, 6646, 448, 1422, 353, 292, 6309, 17, 1273, 5337, 529, 3870, 348, 273, 5127, 19, 7054, 8608, 302, 11666, 292, 19738, 353, 2075, 3416, 275, 970, 32353, 10867, 4412, 27196, 486, 3252, 19, 204, 39, 38912, 3252, 496, 3300, 21013, 884, 88, 6733, 302, 24140, 11091, 353, 2090, 17287, 7101, 19, 204, 990, 13239, 3016, 85, 2296, 1667, 6235, 5256, 496, 1250, 884, 272, 2090, 273, 6258, 19, 3846, 1330, 872, 5408, 490, 311, 273, 2888, 6712, 15546, 17, 490, 830, 19409, 1873, 19, 3665, 636, 317, 728, 323, 26319, 1563, 17, 27196, 486, 3252, 19, 204, 39, 38912, 5366, 17, 1622, 7990, 14089, 302, 8660, 529, 3094, 311, 6635, 17, 2219, 7239, 382, 4006, 884, 89, 9610, 440, 1475, 19, 3433, 636, 1880, 8993, 3582, 204, 12129, 11363, 12367, 323, 337, 16754, 404, 36400, 359, 271, 17, 497, 6259, 40040, 10249, 292, 871, 17191, 322, 25603, 13054, 659, 3252, 496, 9764, 8660, 292, 3300, 21013, 884, 88, 1225, 13395, 13107, 1877, 2545, 4201, 311, 1704, 5500, 281, 3938, 19, 204, 990, 3837, 884, 88, 9395, 43424, 19, 828, 872, 3480, 311, 3120, 5500, 281, 3938, 311, 273, 717, 1864, 17, 872, 4006, 884, 89, 2379, 2075, 311, 770, 4412, 566, 3252, 19, 204, 673, 3220, 867, 6193, 292, 275, 11059, 302, 32864, 19669, 523, 26412, 19, 204, 46793, 7215, 560, 392, 24040, 16336, 266, 322, 9968, 830, 14, 204, 18, 334, 9772, 302, 13499, 19674, 5102, 2439, 2659, 21743, 560, 18131, 11988, 338, 28059, 4662, 17, 6894, 204, 18, 25042, 4160, 7122, 311, 32376, 12469, 496, 26505, 4877, 445, 1851, 430, 46957, 338, 47367, 368, 17, 6894, 204, 18, 10004, 35182, 4208, 8174, 299, 311, 7938, 5032, 348, 21302, 1462, 8487, 8099, 338, 6856, 2468, 17, 6894, 0, 676, 12160, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 273, 3277, 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, 330, 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, 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, 4153, 1690, 1025, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7666, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 7666, 1690, 353, 2917, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 7666, 1690, 353, 2917, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 24275, 1690, 2950, 444, 2917, 431, 204, 822, 268, 314, 1255, 275, 7666, 1690, 311, 275, 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, 4153, 1690, 497, 275, 1747, 19, 204, 204, 268, 457, 31, 204, 305, 1690, 322, 996, 330, 334, 1690, 311, 7138, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 11528, 1690, 353, 2917, 521, 10472, 275, 3188, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 11528, 1690, 353, 2917, 204, 268, 397, 1690, 962, 500, 31, 204, 305, 980, 987, 499, 25463, 1690, 2950, 444, 2917, 431, 204, 822, 268, 314, 778, 397, 275, 11528, 1690, 10472, 275, 3188, 204, 268, 397, 1690, 1323, 370, 19, 3631, 31, 204, 305, 980, 987, 499, 20273, 3188, 431, 204, 822, 268, 314, 10121, 275, 11528, 1690, 497, 275, 3188, 204, 268, 370, 19, 3631, 4922, 1690, 204, 204, 264, 436, 1356, 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, 314, 455, 275, 790, 3188, 204, 268, 407, 0 ]

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

[ 0, 370, 19, 3631, 204, 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, 75, 7, 6238, 3188, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 264, 1747, 19, 15749, 13, 4589, 19, 21, 14, 204, 264, 456, 13, 75, 7, 15674, 1877, 7666, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 264, 1747, 19, 15691, 13, 2825, 19, 21, 14, 204, 264, 456, 13, 75, 7, 15674, 1877, 11528, 31, 463, 3652, 19, 2555, 68, 3631, 8050, 204, 0, 658, 12616, 302, 275, 3239, 19146, 2169, 204, 204, 673, 542, 19146, 2169, 353, 437, 2219, 11929, 542, 15864, 302, 3420, 2727, 886, 11983, 4430, 19, 716, 204, 1380, 13095, 25262, 204, 673, 2727, 13216, 302, 19146, 2169, 353, 31, 204, 23, 2771, 435, 2771, 435, 2771, 435, 2771, 571, 2771, 720, 2771, 7207, 204, 15297, 618, 1425, 444, 5052, 448, 31, 204, 23, 67, 25, 2771, 571, 2771, 720, 2771, 7207, 204, 204, 1380, 27447, 329, 4275, 657, 204, 9706, 2169, 618, 444, 5052, 448, 29937, 13690, 17, 3420, 7584, 28215, 292, 23360, 798, 17, 329, 292, 8615, 11661, 17, 490, 353, 1168, 19, 4832, 2771, 931, 67, 24, 19, 204, 204, 1380, 21098, 329, 25870, 204, 673, 542, 19146, 2169, 869, 681, 7656, 2727, 3857, 329, 273, 1113, 302, 1168, 2727, 3857, 19, 334, 1066, 302, 1163, 2727, 3857, 353, 10688, 322, 23, 465, 435, 465, 435, 465, 435, 465, 571, 465, 720, 465, 7207, 289, 10688, 17, 1101, 3522, 435, 6644, 3420, 2666, 17, 572, 2506, 275, 7656, 10788, 448, 435, 17, 571, 17, 720, 17, 329, 7207, 17, 928, 1066, 311, 10688, 789, 226, 204, 3837, 869, 273, 1113, 302, 2846, 7633, 19, 334, 1066, 302, 830, 7633, 353, 5773, 17, 45354, 17, 329, 275, 1066, 302, 1163, 2133, 7633, 322, 25206, 19146, 2169, 5398, 14, 353, 2247, 17, 40535, 19, 204, 204, 1380, 12636, 204, 9706, 2169, 353, 437, 20312, 542, 2404, 275, 1066, 302, 1163, 2133, 7633, 322, 1845, 17, 40535, 14, 353, 3114, 1194, 5398, 19, 334, 25675, 353, 1132, 17, 30, 4023, 322, 1845, 17, 40535, 338, 1168, 17, 35380, 789, 204, 204, 1380, 20077, 657, 204, 837, 2510, 17, 19146, 2169, 353, 6717, 448, 2958, 1003, 5758, 13971, 19, 592, 1034, 18, 3701, 17, 490, 353, 720, 54, 52, 19, 204, 204, 1380, 19714, 329, 29646, 204, 18, 334, 2415, 302, 19146, 2169, 353, 9766, 17, 42929, 17, 9913, 19, 204, 18, 334, 6871, 302, 19146, 2169, 353, 681, 1641, 17, 29, 2188, 17, 29116, 17, 1207, 19, 204, 18, 334, 2415, 1610, 302, 19146, 2169, 353, 5387, 19851, 19, 4635, 19, 204, 18, 334, 6871, 1610, 302, 19146, 2169, 353, 5387, 1433, 19, 8532, 19, 204, 204, 1380, 37767, 14997, 204, 18, 1168, 17, 35380, 3331, 353, 1936, 311, 435, 3658, 329, 681, 4112, 19, 204, 18, 332, 6871, 440, 273, 3351, 302, 1168, 17, 35380, 10542, 6887, 1784, 444, 5387, 368, 19, 27, 5301, 14977, 19, 204, 204, 1380, 791, 1062, 1872, 9877, 204, 18, 19146, 2169, 46542, 27809, 353, 500, 4832, 28, 19, 204, 18, 19146, 2169, 353, 273, 8705, 823, 364, 542, 19, 204, 18, 334, 1066, 302, 1163, 3258, 353, 2153, 322, 28, 465, 681, 465, 681, 465, 500, 289, 2153, 789, 0, 676, 6937, 31, 204, 264, 320, 204, 264, 2646, 273, 944, 292, 273, 2510, 2192, 19, 204, 204, 264, 1532, 31, 204, 268, 424, 322, 339, 330, 334, 700, 6929, 292, 275, 944, 19, 204, 268, 1824, 322, 10753, 330, 334, 1824, 1656, 302, 275, 944, 19, 204, 268, 1629, 322, 10753, 330, 334, 1629, 1656, 302, 275, 944, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 424, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 6937, 440, 275, 800, 424, 19, 204, 204, 268, 457, 31, 204, 305, 424, 322, 339, 330, 334, 700, 311, 444, 6929, 292, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 481, 289, 424, 204, 268, 370, 19, 1735, 289, 443, 204, 268, 370, 19, 1633, 289, 443, 204, 204, 264, 436, 589, 6843, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 6937, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 6937, 19, 204, 268, 320, 204, 268, 407, 283, 7, 10753, 2930, 327, 19, 481, 9222, 204, 204, 204, 676, 20838, 31, 204, 264, 320, 204, 264, 2646, 273, 2510, 2192, 19, 204, 204, 264, 1532, 31, 204, 268, 1610, 322, 10753, 330, 334, 1610, 944, 302, 275, 2510, 2192, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1610, 31, 6937, 330, 204, 268, 320, 204, 268, 1865, 273, 20838, 440, 275, 800, 1610, 944, 19, 204, 204, 268, 457, 31, 204, 305, 1610, 322, 10753, 330, 334, 1610, 944, 302, 275, 2510, 2192, 19, 204, 268, 320, 204, 268, 370, 19, 2125, 289, 1610, 204, 204, 264, 1642, 4460, 204, 264, 436, 838, 68, 3150, 13, 1309, 31, 458, 64, 339, 694, 393, 6937, 31, 204, 268, 320, 204, 268, 2605, 273, 2510, 2192, 497, 273, 458, 302, 1019, 19, 204, 204, 268, 334, 2192, 353, 1966, 560, 18740, 1019, 292, 275, 2631, 1552, 31, 204, 268, 338, 13826, 500, 322, 2125, 330, 1112, 500, 204, 268, 338, 13826, 368, 31, 3265, 368, 17, 435, 204, 268, 338, 13826, 435, 31, 3265, 571, 17, 681, 17, 720, 17, 887, 204, 268, 338, 3168, 204, 204, 268, 457, 31, 204, 305, 1019, 322, 655, 64, 339, 1037, 332, 458, 302, 1019, 311, 444, 12493, 1025, 275, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 6937, 31, 334, 1610, 944, 302, 275, 1966, 2510, 2192, 19, 204, 268, 320, 204, 268, 397, 508, 1019, 31, 204, 305, 407, 443, 204, 204, 268, 314, 666, 275, 1610, 944, 204, 268, 1610, 289, 6937, 13, 1309, 64, 21, 694, 204, 268, 2769, 289, 551, 2125, 66, 204, 268, 296, 289, 368, 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, 314, 666, 275, 3022, 302, 275, 2192, 204, 268, 1335, 296, 962, 1245, 13, 1309, 330, 204, 305, 790, 68, 1241, 289, 2769, 19, 3377, 13, 21, 14, 204, 204, 305, 314, 666, 275, 1824, 1656, 204, 305, 397, 296, 962, 1245, 13, 1309, 330, 204, 485, 790, 68, 1241, 19, 1735, 289, 6937, 13, 1309, 64, 78, 694, 204, 485, 2769, 19, 1223, 13, 1976, 68, 1241, 19, 1735, 14, 204, 485, 296, 1412, 368, 204, 204, 305, 314, 666, 275, 1629, 1656, 204, 305, 397, 296, 962, 1245, 13, 1309, 330, 204, 485, 790, 68, 1241, 19, 1633, 289, 6937, 13, 1309, 64, 78, 694, 204, 485, 2769, 19, 1223, 13, 1976, 68, 1241, 19, 1633, 14, 204, 485, 296, 1412, 368, 204, 204, 268, 407, 1610, 204, 204, 264, 436, 678, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 273, 678, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 678, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 551, 327, 19, 2125, 66, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 3194, 31, 204, 305, 944, 289, 3194, 19, 3377, 374, 204, 305, 397, 944, 31, 204, 485, 722, 19, 1223, 13, 1241, 19, 481, 14, 204, 485, 3194, 19, 1223, 13, 1241, 19, 1633, 14, 204, 485, 3194, 19, 1223, 13, 1241, 19, 1735, 14, 204, 204, 268, 407, 722, 204, 204, 264, 436, 292, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 437, 292, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 292, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 1306, 204, 268, 790, 289, 370, 19, 2125, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 959, 31, 204, 305, 397, 790, 31, 204, 485, 3194, 19, 1223, 13, 1976, 14, 204, 485, 790, 289, 790, 19, 1735, 204, 305, 1677, 3194, 31, 204, 485, 790, 289, 3194, 19, 3377, 374, 204, 485, 722, 19, 1223, 13, 1976, 19, 481, 14, 204, 485, 790, 289, 790, 19, 1633, 204, 305, 902, 31, 204, 485, 2280, 204, 204, 268, 407, 722, 204, 204, 264, 436, 1722, 68, 1115, 68, 13241, 13, 327, 14, 393, 458, 64, 339, 744, 204, 268, 320, 204, 268, 9715, 273, 1722, 18, 1115, 9164, 302, 275, 2510, 2192, 19, 204, 204, 268, 475, 31, 204, 305, 458, 64, 339, 744, 332, 458, 302, 944, 1019, 292, 1722, 18, 1115, 9164, 1552, 19, 204, 268, 320, 204, 268, 314, 977, 275, 722, 458, 329, 275, 3194, 204, 268, 722, 289, 1306, 204, 268, 3194, 289, 6229, 327, 19, 2125, 17, 1078, 2395, 204, 204, 268, 314, 3055, 275, 9164, 204, 268, 1335, 3194, 31, 204, 305, 944, 17, 4371, 289, 3194, 19, 3377, 374, 204, 305, 397, 944, 31, 204, 485, 397, 4371, 31, 204, 895, 722, 19, 1223, 13, 1241, 19, 481, 14, 204, 485, 902, 31, 204, 895, 3194, 19, 1223, 1802, 1241, 17, 959, 602, 204, 895, 3194, 19, 1223, 1802, 1241, 19, 1633, 17, 1078, 602, 204, 895, 3194, 19, 1223, 1802, 1241, 19, 1735, 17, 1078, 602, 204, 204, 268, 407, 722, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 666, 273, 2510, 2192, 497, 273, 458, 302, 1019, 204, 264, 1019, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 17, 1168, 66, 204, 264, 1610, 289, 20838, 19, 1510, 68, 3150, 13, 1309, 14, 204, 264, 2510, 68, 3150, 289, 20838, 13, 2125, 14, 204, 204, 264, 314, 3055, 1272, 38162, 204, 264, 456, 499, 5434, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 603, 68, 1115, 68, 13241, 1447, 204, 264, 456, 499, 837, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 266, 68, 1115, 68, 13241, 1447, 204, 264, 456, 499, 7164, 18, 1115, 9164, 2180, 2510, 68, 3150, 19, 2288, 68, 1115, 68, 13241, 1447, 204, 0, 647, 2164, 204, 531, 1498, 532, 1061, 204, 204, 8, 968, 273, 3324, 348, 275, 2084, 12317, 1274, 204, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 289, 388, 3189, 1963, 1775, 8520, 19, 605, 9892, 369, 19, 1453, 7, 204, 204, 461, 2566, 68, 505, 68, 1443, 13, 805, 31, 394, 14, 393, 2164, 19, 2628, 31, 204, 264, 320, 204, 264, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 329, 407, 275, 958, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 204, 264, 475, 31, 204, 268, 2164, 19, 2628, 31, 334, 958, 497, 275, 4559, 824, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 4559, 824, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 268, 407, 2164, 19, 505, 13, 805, 14, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 1426, 824, 2805, 329, 1308, 273, 10430, 908, 943, 204, 268, 980, 15689, 13, 75, 7, 3504, 311, 3686, 424, 497, 463, 805, 2829, 463, 74, 743, 204, 204, 461, 6767, 68, 1835, 68, 1181, 13, 805, 31, 394, 17, 1812, 68, 1835, 68, 1181, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6407, 496, 275, 1713, 1274, 2584, 275, 1812, 1714, 1576, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 268, 1812, 68, 1835, 68, 1181, 322, 339, 330, 334, 1812, 1714, 1576, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 1714, 1576, 1583, 508, 2216, 275, 1812, 1714, 0 ]

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

[ 0, 1576, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 264, 958, 289, 2566, 68, 505, 68, 1443, 13, 805, 14, 204, 264, 314, 6407, 496, 275, 1714, 1576, 4083, 275, 1812, 1714, 1576, 204, 264, 2136, 958, 19, 1835, 68, 1181, 564, 1812, 68, 1835, 68, 1181, 17, 283, 7, 11741, 1714, 1576, 463, 5477, 68, 1835, 68, 1181, 98, 1101, 7550, 463, 1935, 19, 1835, 68, 1181, 2495, 204, 204, 461, 6767, 68, 5093, 13, 805, 31, 394, 17, 1812, 68, 5093, 31, 1061, 64, 325, 17, 394, 694, 393, 443, 31, 204, 264, 320, 204, 264, 6407, 496, 275, 1713, 1274, 2584, 275, 1812, 3496, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 2566, 275, 4559, 824, 311, 19, 204, 268, 1812, 68, 5093, 322, 1665, 64, 325, 17, 394, 1037, 334, 1812, 3496, 19, 204, 204, 264, 1632, 31, 204, 268, 15689, 31, 828, 275, 3496, 770, 508, 2216, 275, 1812, 3496, 19, 204, 264, 320, 204, 264, 314, 2878, 273, 4559, 824, 311, 275, 1713, 1274, 204, 264, 958, 289, 2566, 68, 505, 68, 1443, 13, 805, 14, 204, 264, 314, 6407, 496, 275, 3496, 2216, 275, 1812, 3496, 204, 264, 348, 896, 17, 700, 292, 1812, 68, 5093, 19, 1996, 1293, 204, 268, 2136, 896, 292, 958, 19, 5093, 17, 283, 7, 14344, 3494, 463, 644, 2495, 204, 268, 2136, 958, 19, 5093, 64, 644, 66, 564, 700, 17, 283, 7, 11741, 3494, 463, 644, 98, 311, 444, 463, 876, 98, 1101, 7550, 463, 1935, 19, 5093, 64, 644, 25718, 204, 204, 461, 683, 68, 14387, 68, 8155, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 23498, 4584, 19, 204, 264, 320, 204, 264, 1779, 289, 283, 1954, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 5865, 8754, 7, 204, 264, 314, 6407, 496, 275, 23498, 4584, 2584, 273, 2031, 1714, 1576, 204, 264, 6767, 68, 1835, 68, 1181, 13, 805, 17, 2031, 14, 204, 264, 314, 6407, 496, 275, 23498, 4584, 2584, 275, 1812, 3496, 204, 264, 1812, 68, 5093, 289, 463, 204, 268, 388, 8334, 18, 2191, 559, 388, 5580, 20, 1775, 32, 21095, 34, 3102, 18, 29, 528, 204, 268, 388, 8334, 18, 10746, 559, 388, 1551, 1392, 7, 204, 264, 1211, 204, 264, 6767, 68, 5093, 13, 805, 17, 1812, 68, 5093, 14, 204, 204, 461, 683, 68, 4162, 68, 8155, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 3612, 4584, 19, 204, 264, 320, 204, 264, 1779, 289, 283, 1954, 7261, 68, 33790, 45, 4755, 9118, 68, 3778, 5865, 8754, 20, 22, 7, 204, 264, 314, 6407, 496, 275, 3612, 4584, 2584, 273, 2031, 1714, 1576, 204, 264, 6767, 68, 1835, 68, 1181, 13, 805, 17, 2031, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 14387, 68, 8155, 374, 204, 264, 683, 68, 4162, 68, 8155, 374, 204, 0, 461, 636, 68, 920, 68, 4599, 374, 393, 421, 31, 204, 264, 320, 204, 264, 763, 275, 542, 302, 3806, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3806, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 407, 421, 13, 768, 499, 2101, 275, 542, 302, 3806, 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, 768, 68, 7518, 13, 920, 68, 4599, 31, 421, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 537, 3330, 497, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 4599, 322, 339, 330, 334, 542, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 537, 3330, 19, 204, 264, 320, 204, 264, 537, 68, 7518, 289, 1306, 204, 264, 348, 296, 292, 933, 13, 920, 68, 4599, 330, 204, 268, 1335, 959, 31, 204, 305, 575, 68, 768, 289, 537, 13, 75, 7, 2101, 537, 458, 463, 78, 16, 22, 98, 322, 2816, 18, 7996, 330, 2810, 204, 305, 810, 31, 204, 485, 537, 68, 655, 289, 575, 68, 768, 19, 1590, 374, 204, 485, 397, 1245, 13, 768, 68, 655, 14, 962, 435, 31, 204, 895, 456, 499, 1962, 537, 19, 2982, 2064, 630, 3406, 970, 1019, 1280, 204, 485, 902, 31, 204, 895, 537, 68, 7518, 19, 1223, 13, 768, 68, 655, 14, 204, 895, 2280, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 264, 407, 537, 68, 7518, 204, 204, 461, 636, 68, 5271, 68, 1915, 13, 768, 68, 7518, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 273, 458, 302, 2220, 4192, 497, 275, 537, 3330, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 7518, 322, 655, 330, 332, 458, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 2220, 4192, 19, 204, 264, 320, 204, 264, 314, 4496, 273, 758, 311, 636, 2220, 4192, 329, 1675, 10657, 490, 311, 273, 458, 204, 264, 2220, 68, 1915, 289, 458, 13, 574, 1568, 768, 68, 655, 64, 21, 66, 348, 537, 68, 655, 292, 537, 68, 7518, 4513, 204, 264, 407, 2220, 68, 1915, 204, 204, 461, 949, 68, 10089, 13, 5271, 68, 1915, 31, 458, 17, 537, 68, 7518, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 888, 275, 8598, 348, 848, 2220, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 2220, 68, 1915, 322, 655, 330, 332, 458, 302, 2220, 4192, 19, 204, 268, 537, 68, 7518, 322, 655, 330, 332, 458, 302, 537, 3330, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 264, 320, 204, 264, 8598, 289, 2087, 204, 264, 348, 2220, 68, 359, 292, 2220, 68, 1915, 31, 204, 268, 8046, 68, 10089, 289, 1306, 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, 1113, 289, 500, 204, 268, 348, 296, 17, 537, 68, 655, 292, 3209, 13, 768, 68, 7518, 330, 204, 305, 397, 537, 68, 655, 64, 21, 66, 564, 2220, 68, 359, 31, 204, 485, 1113, 1412, 421, 13, 768, 68, 655, 64, 22, 694, 204, 485, 8046, 68, 10089, 19, 1223, 1802, 78, 17, 1113, 602, 204, 268, 8598, 64, 5271, 68, 359, 66, 289, 8046, 68, 10089, 204, 264, 407, 8598, 204, 204, 461, 636, 68, 2391, 68, 10089, 13, 10089, 31, 1135, 14, 393, 458, 31, 204, 264, 320, 204, 264, 763, 275, 1673, 8598, 348, 848, 2220, 1222, 19, 204, 204, 264, 457, 31, 204, 268, 8598, 322, 873, 330, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 1673, 8598, 348, 848, 2220, 1222, 19, 204, 264, 320, 204, 264, 1673, 68, 10089, 289, 551, 19105, 68, 10089, 3327, 22, 66, 348, 8046, 68, 10089, 292, 8598, 19, 1309, 6485, 204, 264, 407, 1673, 68, 10089, 204, 204, 461, 1688, 68, 2391, 68, 10089, 13, 2391, 68, 10089, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4641, 275, 1673, 8598, 292, 9472, 1552, 19, 204, 204, 264, 457, 31, 204, 268, 1673, 68, 10089, 322, 655, 330, 332, 458, 302, 1673, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 2282, 458, 302, 1673, 8598, 19, 204, 264, 320, 204, 264, 1673, 68, 10089, 19, 2975, 13, 644, 34, 3605, 610, 31, 610, 64, 22, 694, 204, 264, 407, 1673, 68, 10089, 204, 204, 461, 636, 68, 12794, 13, 2391, 68, 10089, 31, 458, 17, 8598, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 8427, 19, 204, 204, 264, 457, 31, 204, 268, 1673, 68, 10089, 322, 655, 330, 332, 458, 302, 1673, 8598, 19, 204, 268, 8598, 322, 873, 330, 332, 955, 1273, 3583, 529, 2220, 4192, 329, 1019, 529, 3330, 302, 8046, 8598, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1222, 302, 275, 8427, 19, 204, 264, 320, 204, 264, 846, 68, 1303, 289, 846, 13, 2391, 68, 10089, 17, 896, 34, 3605, 610, 31, 610, 64, 22, 20272, 22, 66, 204, 264, 27530, 289, 551, 5271, 68, 359, 348, 2220, 68, 359, 17, 8046, 68, 10089, 292, 8598, 19, 1996, 374, 397, 8046, 68, 10089, 3327, 22, 1799, 22, 66, 564, 846, 68, 1303, 66, 204, 264, 314, 4641, 27530, 560, 1017, 1043, 11499, 204, 264, 8427, 289, 1006, 13, 44382, 17, 896, 34, 3605, 610, 31, 1682, 1802, 78, 348, 296, 17, 537, 68, 655, 292, 3209, 13, 10089, 14, 397, 537, 68, 655, 564, 610, 659, 818, 611, 3643, 22090, 204, 264, 407, 8427, 204, 204, 461, 667, 1293, 204, 264, 771, 68, 4599, 289, 636, 68, 920, 68, 4599, 374, 204, 264, 537, 68, 7518, 289, 636, 68, 768, 68, 7518, 13, 920, 68, 4599, 14, 204, 264, 2220, 68, 1915, 289, 636, 68, 5271, 68, 1915, 13, 768, 68, 7518, 14, 204, 264, 8598, 289, 949, 68, 10089, 13, 5271, 68, 1915, 17, 537, 68, 7518, 14, 204, 264, 1673, 68, 10089, 289, 636, 68, 2391, 68, 10089, 13, 10089, 14, 204, 264, 2282, 68, 2391, 68, 10089, 289, 1688, 68, 2391, 68, 10089, 13, 2391, 68, 10089, 14, 204, 264, 8427, 289, 636, 68, 12794, 13, 5518, 68, 2391, 68, 10089, 17, 8598, 14, 204, 264, 397, 8427, 564, 388, 79, 2600, 92, 2301, 486, 559, 204, 268, 456, 499, 70, 2070, 89, 358, 95, 75, 433, 325, 72, 4043, 71, 36432, 7270, 431, 204, 264, 902, 31, 204, 268, 456, 13, 12794, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 204, 676, 472, 13661, 837, 40440, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 3746, 311, 1640, 16751, 25078, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 1552, 68, 1190, 322, 325, 330, 6581, 1552, 542, 348, 275, 16751, 25078, 19, 204, 268, 6273, 68, 1190, 322, 339, 330, 31550, 542, 302, 275, 16751, 19, 204, 268, 5821, 68, 1190, 322, 339, 330, 17946, 542, 302, 275, 16751, 19, 204, 268, 16751, 68, 932, 322, 325, 330, 2838, 302, 16751, 2545, 4811, 1473, 19, 204, 268, 12308, 68, 49120, 322, 339, 330, 3239, 302, 18343, 302, 16751, 12308, 19, 204, 268, 12308, 68, 9410, 322, 339, 330, 3239, 302, 6166, 302, 16751, 12308, 19, 204, 268, 16751, 68, 2435, 322, 339, 330, 22748, 302, 275, 16751, 292, 6887, 19, 204, 268, 2350, 322, 325, 330, 11919, 302, 7654, 348, 275, 16751, 2198, 19, 204, 268, 9583, 336, 322, 339, 330, 3239, 302, 9583, 336, 25198, 19, 204, 268, 2641, 322, 339, 330, 26992, 7654, 302, 275, 16751, 19, 204, 268, 5432, 322, 339, 330, 21589, 497, 275, 2641, 7654, 19, 204, 268, 14837, 322, 325, 330, 2838, 302, 14837, 1193, 292, 275, 16751, 19, 204, 268, 1236, 68, 24, 322, 339, 330, 3239, 302, 25198, 302, 1187, 571, 19, 204, 268, 1236, 68, 3701, 322, 339, 330, 3239, 302, 25198, 302, 1187, 5075, 19, 204, 268, 1236, 68, 9579, 322, 339, 330, 3239, 302, 25198, 302, 1187, 17386, 19, 204, 268, 1236, 68, 30, 322, 339, 330, 3239, 302, 25198, 302, 1187, 1233, 19, 204, 268, 3542, 68, 2160, 322, 339, 330, 3239, 302, 3542, 1728, 19, 204, 268, 13695, 68, 3222, 322, 339, 330, 3239, 302, 17336, 302, 1302, 500, 19, 22, 19, 204, 268, 13695, 68, 22, 322, 339, 330, 3239, 302, 17336, 302, 1302, 368, 19, 204, 268, 13695, 68, 2160, 322, 339, 330, 3239, 302, 13695, 1728, 19, 204, 268, 1113, 68, 2160, 322, 339, 330, 7867, 542, 302, 1728, 19, 204, 268, 1728, 68, 49120, 322, 339, 330, 3239, 302, 1728, 841, 22429, 19, 204, 268, 1728, 68, 558, 68, 9645, 322, 339, 330, 3239, 302, 1728, 841, 12047, 19, 204, 268, 1728, 68, 558, 68, 1325, 5513, 322, 339, 330, 3239, 302, 1728, 841, 40394, 19, 204, 268, 5686, 322, 325, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17757, 302, 275, 16751, 19, 204, 268, 23382, 322, 325, 330, 21132, 525, 1714, 302, 275, 16751, 19, 204, 264, 320, 204, 204, 264, 1552, 68, 1190, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 6273, 68, 1190, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5821, 68, 1190, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 16751, 68, 932, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2188, 14, 204, 264, 12308, 68, 49120, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 12308, 68, 9410, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 16751, 68, 2435, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 2350, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 1003, 14, 204, 264, 9583, 336, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 2641, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5432, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 14837, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2562, 14, 204, 264, 1236, 68, 24, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 3701, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 9579, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1236, 68, 30, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 3542, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 3222, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 22, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 13695, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1113, 68, 2160, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 49120, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 558, 68, 9645, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 1728, 68, 558, 68, 1325, 5513, 31, 421, 289, 1094, 19, 6368, 374, 204, 264, 5686, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 23, 14, 204, 264, 23382, 31, 394, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 23, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 16751, 25078, 19, 204, 268, 320, 204, 268, 407, 283, 1954, 327, 19, 1115, 68, 1190, 15135, 327, 19, 901, 68, 1190, 15135, 327, 19, 16172, 2495, 204, 204, 264, 436, 949, 68, 2609, 68, 44134, 88, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 542, 302, 25198, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1113, 542, 302, 25198, 204, 268, 1113, 68, 44134, 88, 289, 370, 19, 14366, 336, 465, 370, 19, 1625, 68, 24, 465, 370, 19, 1625, 68, 3701, 465, 370, 19, 1625, 68, 9579, 465, 370, 19, 1625, 68, 30, 204, 268, 407, 1113, 68, 44134, 88, 204, 204, 264, 436, 949, 68, 44134, 68, 1949, 13, 327, 14, 393, 818, 31, 204, 268, 320, 204, 268, 3989, 275, 14837, 2233, 19, 204, 268, 320, 204, 268, 314, 888, 275, 14837, 2233, 204, 268, 397, 370, 19, 28499, 68, 49120, 564, 500, 31, 204, 305, 407, 500, 204, 268, 14837, 68, 1949, 289, 322, 327, 19, 3446, 68, 2609, 68, 44134, 88, 374, 802, 370, 19, 28499, 68, 49120, 14, 540, 1607, 204, 268, 407, 14837, 68, 1949, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 717, 16751, 25078, 204, 264, 25078, 289, 472, 13661, 837, 40440, 13, 204, 268, 1552, 68, 1190, 1022, 16298, 528, 204, 268, 6273, 68, 1190, 34, 22, 17, 204, 268, 5821, 68, 1190, 34, 22, 17, 204, 268, 16751, 68, 932, 1022, 40, 363, 1333, 528, 204, 268, 12308, 68, 49120, 34, 2051, 17, 204, 268, 12308, 68, 9410, 34, 2051, 17, 204, 268, 16751, 68, 2435, 34, 1719, 17, 204, 268, 2350, 1022, 22520, 528, 204, 268, 9583, 336, 34, 1003, 17, 204, 268, 2641, 34, 2051, 17, 204, 268, 5432, 34, 26, 17, 204, 268, 14837, 1022, 31848, 793, 528, 204, 268, 1236, 68, 24, 34, 26, 17, 204, 268, 1236, 68, 3701, 34, 1003, 17, 204, 268, 1236, 68, 9579, 34, 1909, 17, 204, 268, 1236, 68, 30, 34, 1036, 17, 204, 268, 3542, 68, 2160, 34, 1719, 17, 204, 268, 13695, 68, 3222, 34, 1003, 17, 204, 268, 13695, 68, 22, 34, 1036, 17, 204, 268, 13695, 68, 2160, 34, 2188, 17, 204, 268, 1113, 68, 2160, 34, 2051, 17, 204, 268, 1728, 68, 49120, 34, 1719, 17, 204, 268, 1728, 68, 558, 68, 9645, 34, 1003, 17, 204, 268, 1728, 68, 558, 68, 1325, 5513, 34, 22, 17, 204, 268, 5686, 1022, 38, 528, 204, 268, 23382, 1022, 12950, 7, 204, 264, 1179, 204, 204, 264, 314, 3025, 275, 16751, 25078, 204, 264, 25078, 19, 2360, 374, 204, 204, 264, 314, 888, 275, 1113, 25198, 204, 264, 1113, 68, 44134, 88, 289, 25078, 19, 3446, 68, 2609, 68, 44134, 88, 374, 204, 264, 456, 13, 75, 7, 6425, 25198, 31, 463, 2609, 68, 44134, 88, 743, 204, 204, 264, 314, 888, 275, 14837, 2233, 204, 264, 14837, 68, 1949, 289, 25078, 19, 3446, 68, 44134, 68, 1949, 374, 204, 264, 456, 13, 75, 7, 7146, 462, 2233, 31, 463, 44134, 68, 1949, 28131, 204, 0, 647, 2010, 448, 645, 204, 647, 2044, 23, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 5984, 437, 752, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 2621, 311, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 752, 510, 1583, 508, 1337, 19, 204, 264, 320, 204, 264, 752, 289, 2044, 23, 19, 10465, 13, 935, 68, 546, 17, 500, 14, 204, 264, 397, 752, 353, 443, 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, 980, 3180, 13, 75, 7, 596, 4644, 752, 497, 463, 935, 68, 546, 743, 204, 264, 407, 752, 204, 204, 461, 838, 68, 11348, 68, 1663, 13, 5806, 31, 421, 17, 774, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2605, 273, 7619, 1525, 440, 275, 800, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 12316, 322, 339, 330, 31684, 7619, 19, 204, 268, 774, 322, 339, 330, 29324, 7619, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 7619, 1525, 19, 204, 264, 320, 204, 264, 314, 666, 273, 435, 93, 24, 7619, 1525, 204, 264, 407, 645, 19, 996, 2177, 8963, 22, 17, 500, 17, 12316, 648, 551, 21, 17, 368, 17, 774, 4097, 204, 204, 461, 13541, 68, 935, 13, 935, 31, 645, 19, 766, 17, 7619, 68, 1663, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 43278, 437, 752, 974, 275, 800, 7619, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 13541, 19, 204, 268, 7619, 68, 1663, 322, 1123, 19, 766, 330, 334, 7619, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 12311, 752, 19, 204, 264, 320, 204, 264, 314, 763, 275, 752, 5150, 204, 264, 3015, 17, 10426, 289, 752, 19, 1827, 204, 264, 314, 3291, 275, 7619, 1525, 311, 275, 752, 204, 264, 407, 2044, 23, 19, 30475, 42765, 13, 935, 17, 7619, 68, 1663, 17, 322, 6103, 17, 3015, 602, 204, 204, 461, 2037, 68, 2936, 13, 6228, 68, 935, 31, 645, 19, 766, 17, 12311, 68, 935, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10616, 275, 2171, 329, 12311, 2388, 19, 204, 204, 264, 457, 31, 204, 268, 2171, 68, 935, 322, 1123, 19, 766, 330, 334, 2171, 752, 19, 204, 268, 12311, 68, 935, 322, 1123, 19, 766, 330, 334, 12311, 752, 19, 204, 264, 320, 204, 264, 314, 666, 11884, 311, 2037, 275, 2388, 204, 264, 2044, 23, 19, 8122, 499, 9562, 528, 2171, 68, 935, 14, 204, 264, 2044, 23, 19, 8122, 499, 26857, 756, 528, 12311, 68, 935, 14, 204, 264, 314, 5730, 348, 273, 896, 3692, 329, 3671, 275, 11884, 204, 264, 2044, 23, 19, 13755, 13, 21, 14, 204, 264, 2044, 23, 19, 15524, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 1137, 437, 752, 17, 13541, 490, 17, 329, 2037, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 968, 275, 752, 832, 329, 7619, 2072, 204, 264, 752, 68, 546, 289, 17937, 6422, 20, 3371, 20, 30, 20, 2283, 33690, 19, 5684, 7, 204, 264, 12316, 17, 774, 289, 2468, 17, 3382, 204, 615, 264, 810, 31, 204, 268, 314, 1385, 275, 752, 204, 268, 2171, 68, 935, 289, 1137, 68, 935, 13, 935, 68, 546, 14, 204, 268, 314, 666, 275, 7619, 1525, 204, 268, 7619, 68, 1663, 289, 838, 68, 11348, 68, 1663, 13, 5806, 17, 774, 14, 204, 268, 314, 21666, 275, 752, 204, 268, 12311, 68, 935, 289, 13541, 68, 935, 13, 6228, 68, 935, 17, 7619, 68, 1663, 14, 204, 268, 314, 3740, 275, 1563, 204, 268, 2037, 68, 2936, 13, 6228, 68, 935, 17, 12311, 68, 935, 14, 204, 264, 827, 3180, 448, 318, 31, 204, 268, 456, 13, 74, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1061, 17, 783, 17, 1884, 204, 204, 461, 1137, 68, 481, 68, 13435, 13, 13435, 68, 553, 31, 394, 14, 393, 1884, 64, 1665, 64, 325, 17, 394, 648, 1061, 64, 325, 17, 783, 64, 325, 10778, 204, 264, 320, 204, 264, 1385, 424, 8370, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 264, 8370, 68, 553, 322, 325, 330, 2621, 311, 275, 8370, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 1665, 64, 325, 17, 394, 648, 1061, 64, 325, 17, 783, 64, 325, 10778, 332, 927, 1174, 970, 5239, 31, 204, 268, 338, 36925, 23, 13435, 31, 332, 955, 4707, 2752, 4192, 311, 21034, 19, 204, 268, 338, 8370, 23, 10593, 31, 332, 955, 4707, 21034, 311, 3330, 302, 2752, 4192, 19, 204, 264, 320, 204, 264, 314, 977, 1392, 5239, 311, 1640, 2752, 4192, 329, 21034, 204, 264, 36925, 23, 13435, 17, 8370, 23, 10593, 289, 14170, 2087, 204, 615, 264, 314, 1385, 275, 8370, 510, 1025, 273, 3805, 3135, 204, 264, 2349, 289, 1246, 19, 976, 68, 2039, 13, 13435, 68, 553, 14, 204, 204, 264, 314, 1861, 1048, 848, 1237, 292, 275, 3135, 204, 264, 348, 1237, 292, 2349, 19, 1309, 31, 204, 268, 314, 1986, 2752, 1222, 329, 8370, 497, 275, 1237, 204, 268, 36925, 17, 8370, 289, 394, 13, 937, 64, 21, 5060, 1237, 3327, 22, 66, 204, 822, 268, 314, 9015, 2752, 1222, 311, 8370, 204, 268, 36925, 23, 13435, 64, 10593, 66, 289, 8370, 204, 822, 268, 314, 9015, 8370, 311, 458, 302, 2752, 4192, 204, 268, 397, 8370, 508, 292, 8370, 23, 10593, 31, 204, 305, 8370, 23, 10593, 64, 13435, 66, 289, 1306, 204, 268, 397, 36925, 508, 292, 8370, 23, 10593, 64, 13435, 744, 204, 305, 8370, 23, 10593, 64, 13435, 1664, 1223, 13, 10593, 14, 204, 204, 264, 407, 36925, 23, 13435, 17, 8370, 23, 10593, 204, 204, 204, 461, 4724, 68, 2393, 13, 2393, 31, 1246, 19, 1362, 17, 2158, 68, 1205, 31, 421, 17, 13805, 68, 1205, 31, 421, 17, 4724, 68, 932, 31, 394, 14, 393, 783, 64, 2600, 19, 1362, 744, 204, 264, 320, 204, 264, 19541, 273, 1672, 1025, 5406, 12268, 19, 204, 204, 264, 457, 31, 204, 264, 1672, 322, 2600, 19, 1362, 330, 334, 1672, 311, 4724, 19, 204, 264, 2158, 68, 1205, 322, 339, 330, 334, 1277, 302, 275, 2158, 19, 204, 264, 13805, 68, 1205, 322, 339, 330, 334, 13805, 1277, 19, 204, 264, 4724, 68, 932, 322, 325, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 334, 1187, 302, 15627, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 2600, 19, 1362, 744, 332, 458, 302, 24811, 4645, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 24811, 4645, 204, 264, 24811, 68, 4077, 289, 1306, 204, 615, 264, 314, 778, 397, 13805, 1277, 353, 2202, 1194, 521, 1936, 311, 2158, 1277, 204, 264, 2136, 13805, 68, 1205, 2186, 2158, 68, 1205, 329, 2158, 68, 1205, 3721, 931, 204, 204, 264, 314, 763, 2220, 4724, 4192, 204, 264, 4724, 68, 1915, 289, 2282, 13, 574, 13, 2393, 736, 8545, 68, 359, 3750, 1309, 602, 204, 615, 264, 314, 3291, 15627, 1609, 523, 4724, 1187, 204, 264, 397, 4724, 68, 932, 292, 2470, 1424, 68, 277, 405, 491, 379, 1424, 68, 277, 405, 68, 6593, 5441, 204, 268, 348, 1276, 292, 4724, 68, 1915, 31, 204, 305, 4724, 289, 1672, 64, 2393, 736, 8545, 68, 359, 839, 564, 1276, 66, 204, 305, 397, 4724, 68, 932, 564, 379, 1424, 68, 277, 405, 68, 6593, 597, 204, 485, 24811, 68, 4077, 19, 1223, 13, 8545, 14, 204, 305, 902, 31, 204, 485, 348, 1012, 68, 3443, 292, 933, 13, 21, 17, 1245, 13, 8545, 659, 13805, 68, 1205, 330, 204, 895, 1136, 68, 3443, 289, 1006, 13, 1530, 68, 3443, 465, 2158, 68, 1205, 17, 1245, 13, 8545, 602, 204, 895, 860, 68, 8545, 289, 4724, 19, 8751, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 204, 895, 24811, 68, 4077, 19, 1223, 13, 1509, 68, 8545, 14, 204, 895, 397, 1136, 68, 3443, 564, 1245, 13, 8545, 330, 204, 2058, 2280, 204, 264, 1677, 4724, 68, 932, 564, 379, 4056, 597, 204, 268, 348, 1012, 68, 3443, 292, 933, 13, 21, 17, 1245, 13, 2393, 659, 13805, 68, 1205, 330, 204, 305, 1136, 68, 3443, 289, 1006, 13, 1530, 68, 3443, 465, 2158, 68, 1205, 17, 1245, 13, 2393, 602, 204, 305, 4724, 289, 1672, 19, 8751, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 204, 305, 24811, 68, 4077, 19, 1223, 13, 8545, 14, 204, 305, 397, 1136, 68, 3443, 564, 1245, 13, 2393, 330, 204, 485, 2280, 204, 264, 902, 31, 204, 268, 456, 611, 3882, 1702, 15627, 2755, 5901, 204, 615, 264, 407, 24811, 68, 4077, 204, 204, 204, 461, 8060, 68, 481, 13, 481, 31, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 22147, 1112, 68, 13989, 31, 783, 64, 2983, 64, 339, 17, 421, 4097, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 204, 264, 320, 204, 264, 8825, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 424, 322, 1665, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 20184, 334, 424, 311, 8060, 19, 204, 264, 1112, 68, 13989, 322, 1218, 64, 2983, 64, 339, 17, 421, 3795, 332, 458, 302, 1112, 10207, 311, 8060, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 334, 7570, 424, 19, 204, 264, 320, 204, 264, 314, 14390, 1737, 2048, 1025, 273, 2875, 1348, 204, 264, 951, 68, 481, 289, 645, 19, 937, 68, 4173, 13, 481, 736, 1219, 4976, 3995, 2378, 204, 615, 264, 314, 888, 1869, 329, 2599, 5432, 302, 1737, 2048, 204, 264, 951, 68, 3037, 289, 645, 19, 10377, 3037, 13, 1219, 68, 481, 17, 3138, 34, 21, 14, 204, 264, 951, 68, 3960, 289, 645, 19, 10377, 3960, 13, 1219, 68, 481, 17, 3138, 34, 21, 14, 204, 204, 264, 314, 8825, 2048, 348, 848, 8370, 204, 264, 348, 8370, 292, 424, 19, 3261, 1293, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 481, 64, 13435, 6690, 3995, 2378, 330, 204, 305, 348, 1012, 68, 3443, 17, 1136, 68, 3443, 292, 1112, 68, 13989, 31, 204, 485, 314, 42363, 2048, 204, 485, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 289, 688, 204, 895, 322, 481, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 338, 951, 68, 3037, 64, 1530, 68, 3443, 31, 409, 68, 3443, 694, 802, 322, 204, 4511, 951, 68, 3960, 64, 1530, 68, 3443, 31, 409, 68, 3443, 66, 465, 368, 74, 18, 27, 14, 204, 7933, 485, 314, 4546, 17547, 88, 440, 7152, 204, 485, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 66, 289, 645, 19, 3663, 13, 204, 895, 645, 19, 31131, 13, 481, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 5060, 500, 19, 21, 17, 204, 895, 424, 64, 13435, 6690, 3995, 6970, 78, 41917, 1012, 68, 3443, 31, 409, 68, 3443, 694, 204, 204, 264, 407, 424, 204, 204, 204, 461, 1137, 68, 481, 13, 2607, 31, 394, 17, 3630, 31, 1061, 64, 325, 17, 394, 648, 2648, 68, 3604, 31, 783, 64, 325, 648, 17603, 68, 2230, 31, 394, 17, 8060, 31, 1109, 289, 959, 17, 7757, 68, 17999, 31, 783, 64, 325, 66, 289, 443, 17, 2158, 68, 1205, 31, 421, 289, 2031, 17, 13805, 68, 1205, 31, 421, 289, 1607, 17, 2106, 31, 1109, 289, 1078, 17, 3120, 68, 22519, 31, 1109, 289, 959, 14, 393, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 204, 264, 320, 204, 264, 1385, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 1781, 322, 325, 330, 334, 1781, 311, 1137, 424, 348, 19, 204, 264, 3630, 322, 1665, 64, 325, 17, 394, 1037, 332, 955, 302, 3630, 311, 275, 424, 19, 204, 264, 2648, 68, 3604, 322, 1218, 64, 325, 1037, 332, 458, 302, 2648, 3416, 311, 1137, 19, 204, 264, 17603, 68, 2230, 322, 325, 330, 334, 14840, 5117, 311, 1137, 19, 204, 264, 8060, 322, 2107, 17, 1448, 330, 2266, 311, 8060, 275, 424, 19, 1243, 311, 959, 19, 204, 264, 7757, 68, 17999, 322, 1218, 64, 325, 648, 1448, 330, 332, 458, 302, 10052, 2914, 19, 1243, 311, 443, 19, 204, 264, 2158, 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, 1205, 322, 339, 17, 1448, 330, 334, 2158, 1277, 19, 1243, 311, 2031, 19, 204, 264, 13805, 68, 1205, 322, 339, 17, 1448, 330, 334, 13805, 1277, 19, 1243, 311, 1607, 19, 204, 264, 2106, 322, 2107, 17, 1448, 330, 2266, 311, 2106, 275, 3271, 424, 19, 1243, 311, 1078, 19, 204, 264, 3120, 68, 22519, 322, 2107, 17, 1448, 330, 2266, 311, 3120, 15627, 19, 1243, 311, 959, 19, 204, 204, 264, 475, 31, 204, 264, 1061, 64, 325, 17, 1061, 64, 325, 17, 783, 64, 1123, 19, 766, 10778, 334, 3271, 424, 19, 204, 264, 320, 204, 264, 314, 8450, 9080, 31, 3288, 275, 3022, 302, 275, 741, 204, 264, 1879, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 8370, 68, 553, 289, 388, 13435, 19, 2039, 7, 204, 264, 36925, 23, 13435, 17, 8370, 23, 10593, 289, 1137, 68, 481, 68, 13435, 13, 13435, 68, 553, 14, 204, 264, 456, 13, 10593, 23, 13435, 14, 204, 264, 456, 13, 13435, 23, 10593, 14, 204, 204, 264, 1672, 289, 1246, 19, 1362, 2930, 204, 268, 379, 8545, 68, 359, 597, 551, 22, 17, 368, 17, 368, 17, 435, 17, 435, 17, 435, 648, 204, 268, 379, 3995, 22, 597, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 17, 887, 648, 204, 268, 379, 3995, 23, 597, 551, 28, 17, 1132, 17, 1233, 17, 931, 17, 2958, 17, 1598, 66, 204, 264, 7084, 204, 264, 24811, 68, 4077, 289, 4724, 68, 2393, 13, 2393, 17, 435, 17, 368, 17, 379, 4056, 534, 204, 264, 456, 13, 8545, 336, 68, 4077, 14, 204, 204, 264, 424, 289, 463, 204, 268, 379, 1219, 597, 463, 204, 305, 379, 3995, 597, 551, 1123, 19, 643, 8963, 22, 17, 435, 648, 551, 24, 17, 681, 28541, 645, 19, 643, 8963, 26, 17, 887, 648, 551, 28, 17, 1132, 4097, 66, 204, 268, 4752, 204, 268, 379, 804, 597, 463, 204, 305, 379, 3995, 597, 551, 1123, 19, 643, 8963, 30, 17, 931, 648, 551, 1641, 17, 1598, 28541, 645, 19, 643, 8963, 2353, 17, 2905, 648, 551, 1909, 17, 2247, 4097, 66, 204, 268, 1211, 204, 264, 1211, 204, 264, 1112, 68, 13989, 289, 6229, 21, 17, 368, 659, 322, 22, 17, 435, 2395, 204, 264, 7570, 68, 481, 289, 8060, 68, 481, 13, 481, 17, 1112, 68, 13989, 14, 204, 264, 456, 13, 13651, 68, 481, 14, 204, 0, 647, 5683, 204, 531, 740, 19, 809, 19, 6391, 532, 13804, 204, 531, 740, 532, 14832, 596, 204, 204, 37, 6598, 19, 8999, 204, 461, 1943, 374, 393, 13804, 31, 204, 264, 320, 204, 264, 28356, 311, 838, 273, 717, 13804, 1014, 19, 204, 615, 264, 475, 31, 204, 268, 13804, 31, 332, 717, 13804, 1014, 19, 204, 264, 320, 204, 264, 407, 13804, 374, 204, 204, 461, 683, 68, 6391, 68, 3474, 68, 1512, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 1419, 1259, 302, 275, 1943, 19, 204, 615, 264, 334, 1943, 1856, 874, 275, 2631, 3564, 31, 204, 264, 338, 353, 68, 1766, 68, 1735, 31, 959, 204, 264, 338, 353, 68, 1766, 68, 1633, 31, 959, 204, 264, 338, 11709, 68, 765, 31, 500, 204, 264, 320, 204, 264, 314, 778, 1419, 1259, 302, 1943, 3564, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1735, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1633, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 500, 204, 204, 37, 6598, 19, 2472, 19, 16402, 499, 3830, 68, 417, 17, 1419, 68, 876, 17, 717, 68, 876, 528, 551, 204, 264, 4401, 360, 68, 1766, 68, 1735, 528, 959, 17, 1078, 659, 204, 264, 4401, 360, 68, 1766, 68, 1633, 528, 959, 17, 1078, 659, 204, 264, 4401, 19335, 68, 765, 528, 500, 17, 368, 659, 204, 694, 204, 461, 683, 68, 12825, 68, 6664, 13, 6391, 31, 13804, 17, 4355, 68, 417, 31, 394, 17, 1419, 68, 876, 17, 717, 68, 876, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5465, 3564, 311, 1097, 1019, 19, 204, 615, 264, 457, 31, 204, 268, 1943, 322, 16850, 330, 334, 1943, 1014, 19, 204, 268, 4355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4355, 311, 758, 19, 204, 268, 1419, 68, 876, 31, 334, 1419, 700, 302, 275, 4355, 19, 204, 268, 717, 68, 876, 31, 334, 717, 700, 311, 758, 348, 275, 4355, 19, 204, 264, 320, 204, 264, 314, 1359, 275, 4355, 311, 273, 717, 700, 204, 264, 18163, 13, 6391, 17, 4355, 68, 417, 17, 717, 68, 876, 14, 204, 264, 314, 778, 397, 275, 4355, 867, 758, 5728, 204, 264, 2136, 10175, 13, 6391, 17, 4355, 68, 417, 14, 564, 717, 68, 876, 204, 204, 37, 6598, 19, 2472, 19, 16402, 499, 3830, 68, 417, 528, 551, 204, 264, 388, 360, 68, 1766, 68, 1735, 528, 204, 264, 388, 360, 68, 1766, 68, 1633, 528, 204, 264, 388, 19335, 68, 765, 528, 204, 694, 204, 461, 683, 68, 12825, 68, 6664, 68, 633, 68, 10953, 68, 11688, 68, 718, 13, 6391, 31, 13804, 17, 4355, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 5465, 3564, 311, 443, 10036, 273, 14832, 596, 19, 204, 615, 264, 457, 31, 204, 268, 1943, 322, 16850, 330, 334, 1943, 1014, 19, 204, 268, 4355, 68, 417, 322, 325, 330, 334, 588, 302, 275, 4355, 311, 758, 19, 204, 264, 320, 204, 264, 314, 6608, 311, 758, 275, 4355, 311, 443, 204, 264, 440, 5683, 19, 11688, 13, 11558, 596, 330, 204, 268, 18163, 13, 6391, 17, 4355, 68, 417, 17, 443, 14, 204, 204, 8, 6119, 683, 311, 1356, 397, 275, 1943, 618, 2284, 1824, 329, 1629, 204, 461, 683, 68, 6391, 68, 21053, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 1943, 6438, 19, 204, 615, 264, 334, 1943, 1856, 444, 5096, 311, 2284, 1824, 329, 1629, 19, 204, 264, 320, 204, 264, 314, 5360, 275, 1943, 1824, 204, 264, 1943, 19, 1766, 68, 1735, 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, 264, 314, 778, 397, 275, 1943, 10094, 1824, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1735, 204, 264, 314, 5360, 275, 1943, 1629, 204, 264, 1943, 19, 1766, 68, 1633, 374, 204, 264, 314, 778, 397, 275, 1943, 10094, 1629, 204, 264, 2136, 1943, 19, 360, 68, 1766, 68, 1633, 204, 204, 8, 6119, 683, 311, 1356, 397, 275, 11709, 1040, 26588, 5728, 204, 461, 683, 68, 19335, 68, 765, 13, 6391, 31, 13804, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 275, 11709, 1040, 19, 204, 615, 264, 334, 11709, 1040, 1856, 6342, 5728, 19, 204, 264, 320, 204, 264, 314, 778, 275, 1419, 11709, 1040, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 500, 204, 264, 314, 7415, 275, 11709, 1040, 204, 264, 1943, 19, 13926, 68, 19335, 68, 765, 374, 204, 264, 314, 778, 397, 275, 11709, 1040, 31874, 5728, 204, 264, 2136, 1943, 19, 19335, 68, 765, 564, 368, 204, 0, 531, 589, 8991, 367, 532, 4923, 68, 647, 204, 531, 1498, 532, 1061, 17, 1535, 204, 204, 647, 6699, 204, 204, 531, 3077, 558, 1723, 19, 2005, 68, 1723, 532, 12684, 3368, 204, 204, 676, 44639, 12642, 10254, 31, 204, 264, 320, 204, 264, 44639, 15868, 1893, 850, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 8808, 440, 275, 44639, 15868, 1893, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3923, 68, 1723, 31, 1535, 64, 38729, 66, 289, 443, 330, 204, 268, 320, 204, 268, 977, 275, 44639, 12642, 10254, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 3923, 68, 1723, 322, 4437, 64, 38729, 1037, 334, 1893, 1545, 1014, 19, 1243, 311, 443, 19, 204, 268, 320, 204, 268, 314, 828, 3923, 68, 1723, 353, 508, 1917, 17, 838, 273, 717, 1014, 204, 268, 370, 19, 2005, 68, 1723, 289, 3923, 68, 1723, 521, 12684, 3368, 374, 204, 204, 264, 436, 838, 68, 9468, 13075, 68, 7641, 13, 327, 17, 24998, 68, 359, 31, 394, 17, 4643, 68, 1443, 31, 1061, 17, 930, 2251, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 666, 273, 717, 44639, 15868, 19, 204, 204, 268, 457, 31, 204, 305, 24998, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 24998, 19, 204, 305, 4643, 68, 1443, 322, 1665, 330, 334, 824, 2484, 311, 838, 437, 44639, 15868, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 334, 1966, 44639, 15868, 1014, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 407, 68, 1942, 68, 481, 68, 6593, 5168, 311, 959, 204, 268, 6416, 28357, 3309, 68, 1942, 68, 481, 68, 6593, 839, 289, 959, 204, 822, 268, 314, 778, 397, 437, 27678, 824, 353, 1945, 204, 268, 397, 6416, 19, 505, 611, 6419, 68, 5711, 4448, 204, 305, 314, 828, 4470, 68, 5711, 353, 959, 17, 2428, 275, 838, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 1216, 204, 305, 407, 370, 806, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 17, 930, 2251, 14, 204, 268, 902, 31, 204, 305, 314, 828, 4470, 68, 5711, 353, 1078, 17, 2428, 275, 838, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 1216, 329, 407, 275, 424, 204, 305, 407, 370, 806, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 17, 930, 2251, 14, 204, 204, 264, 436, 906, 1510, 68, 7641, 68, 2004, 68, 1942, 68, 1270, 13, 327, 17, 24998, 68, 359, 31, 394, 17, 4643, 68, 1443, 31, 1061, 17, 930, 2251, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 666, 273, 717, 44639, 15868, 440, 3426, 1483, 19, 204, 204, 268, 457, 31, 204, 305, 24998, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 24998, 19, 204, 305, 4643, 68, 1443, 322, 1665, 330, 334, 824, 2484, 311, 838, 437, 44639, 15868, 19, 204, 305, 930, 2251, 31, 6119, 4541, 1906, 19, 204, 204, 268, 475, 31, 204, 305, 1061, 31, 334, 1966, 44639, 15868, 1014, 19, 204, 268, 320, 204, 268, 314, 4862, 275, 3975, 311, 838, 273, 717, 44639, 15868, 440, 3426, 1483, 204, 268, 314, 1765, 6893, 5356, 17, 273, 3277, 5581, 353, 1917, 204, 268, 4643, 289, 463, 204, 305, 379, 9468, 13075, 68, 359, 597, 24998, 68, 359, 17, 204, 305, 379, 7641, 68, 1443, 597, 4643, 68, 1443, 204, 268, 1211, 204, 268, 407, 4643, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3923, 68, 1723, 289, 12684, 3368, 374, 204, 264, 24998, 68, 7641, 68, 2005, 289, 44639, 12642, 10254, 13, 2005, 68, 1723, 14, 204, 264, 24998, 68, 359, 289, 388, 2569, 18, 9468, 13075, 18, 359, 7, 204, 264, 4643, 68, 1443, 289, 463, 204, 268, 379, 7641, 68, 417, 597, 379, 2569, 18, 7641, 491, 204, 268, 379, 7641, 68, 2749, 597, 379, 2569, 18, 7641, 18, 2749, 12, 204, 264, 1211, 204, 264, 1966, 68, 7641, 289, 24998, 68, 7641, 68, 2005, 19, 1510, 68, 9468, 13075, 68, 7641, 13, 9468, 13075, 68, 359, 17, 4643, 68, 1443, 14, 204, 264, 456, 13, 5903, 68, 7641, 14, 204, 0, 2841, 869, 1742, 273, 4382, 6675, 302, 3793, 13013, 311, 19200, 275, 1483, 18, 18939, 299, 6137, 302, 2712, 1627, 302, 3612, 19, 332, 1813, 302, 790, 12400, 17, 5862, 17, 24073, 4542, 6709, 17252, 440, 1483, 18, 18939, 299, 10114, 302, 1683, 24339, 675, 292, 275, 16589, 15606, 19, 1058, 9280, 17792, 275, 1563, 302, 273, 35537, 3220, 302, 1483, 18, 18939, 299, 4751, 887, 3534, 1683, 24339, 675, 630, 387, 43113, 1301, 47687, 865, 4639, 322, 56, 4961, 789, 334, 3220, 867, 7784, 311, 368, 14, 10647, 1683, 24339, 675, 12, 1483, 18, 18939, 299, 6137, 440, 9004, 301, 2685, 32, 435, 14, 7260, 275, 4263, 302, 19239, 5131, 329, 3353, 87, 26026, 292, 9535, 299, 1683, 24339, 675, 311, 21851, 1813, 6173, 32, 329, 571, 14, 12146, 275, 6108, 1283, 1683, 24339, 675, 292, 3099, 302, 1017, 2523, 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, 6978, 17, 12750, 1324, 17, 329, 10692, 19, 334, 3220, 1563, 17668, 496, 1698, 571, 10, 302, 1683, 24339, 675, 732, 275, 16589, 6171, 329, 19981, 36999, 311, 560, 275, 387, 4961, 667, 4712, 19, 592, 4998, 17, 275, 1563, 11724, 496, 14811, 19, 28, 10, 302, 275, 39080, 2459, 630, 387, 4961, 1376, 275, 7265, 1813, 3798, 348, 1017, 1419, 1813, 19, 3065, 353, 273, 12721, 2712, 1283, 39080, 2459, 292, 3099, 302, 1017, 2523, 329, 732, 302, 318, 18, 9315, 19, 16925, 17, 808, 3220, 1193, 275, 4263, 302, 19239, 5131, 329, 3353, 87, 26026, 292, 9535, 299, 1683, 24339, 675, 311, 4309, 1813, 10114, 353, 7510, 27401, 19, 204, 97, 10453, 302, 2442, 10103, 3742, 19573, 12003, 329, 12901, 2221, 4853, 5902, 292, 43368, 43798, 97, 204, 97, 4290, 302, 6214, 3742, 1845, 97, 204, 97, 35359, 1714, 3742, 30210, 338, 18269, 7207, 10072, 97, 204, 3845, 47, 40, 27656, 5615, 3397, 4549, 204, 18, 23975, 329, 12310, 1291, 13, 668, 14, 204, 18, 12060, 18452, 13, 668, 14, 204, 18, 17511, 8134, 13, 668, 14, 0, 647, 2802, 14860, 23890, 448, 22176, 204, 531, 23745, 532, 1137, 68, 14941, 204, 531, 3353, 19, 4266, 532, 636, 68, 17025, 17, 636, 68, 8125, 68, 20411, 68, 1270, 68, 481, 17, 497, 68, 16074, 68, 6270, 68, 1270, 68, 505, 68, 8125, 68, 481, 204, 204, 461, 636, 68, 20411, 68, 1270, 68, 481, 13, 5153, 68, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 5962, 1483, 424, 497, 6275, 1860, 19, 204, 204, 264, 457, 31, 204, 268, 9229, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6275, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5962, 1483, 424, 19, 204, 264, 320, 204, 264, 314, 763, 273, 458, 302, 13067, 497, 275, 1917, 832, 204, 264, 13067, 289, 636, 68, 17025, 13, 5153, 68, 553, 68, 546, 5604, 22, 5853, 204, 264, 314, 763, 275, 5962, 1483, 424, 497, 275, 13067, 204, 264, 407, 636, 68, 8125, 68, 20411, 68, 1270, 68, 481, 13, 17025, 17, 9229, 68, 553, 68, 546, 14, 204, 204, 461, 636, 68, 16074, 68, 6270, 68, 481, 13, 16074, 68, 6270, 68, 553, 68, 546, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 4071, 5431, 3200, 424, 497, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 5431, 68, 6270, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 763, 275, 5431, 3200, 424, 497, 275, 1917, 832, 204, 264, 407, 497, 68, 16074, 68, 6270, 68, 1270, 68, 505, 68, 8125, 68, 481, 13, 546, 34, 16074, 68, 6270, 68, 553, 68, 546, 14, 204, 204, 461, 6879, 68, 20411, 68, 1270, 68, 481, 13, 20411, 68, 1270, 68, 481, 31, 458, 17, 5431, 68, 6270, 68, 481, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 28965, 5962, 1483, 424, 440, 5431, 3200, 424, 19, 204, 204, 264, 457, 31, 204, 268, 5962, 68, 1270, 68, 481, 322, 655, 330, 332, 458, 302, 5962, 1483, 424, 19, 204, 268, 5431, 68, 6270, 68, 481, 322, 655, 330, 332, 458, 302, 5431, 3200, 424, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 6116, 458, 302, 5962, 1483, 329, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 9761, 275, 970, 3330, 204, 264, 6116, 68, 481, 289, 5962, 68, 1270, 68, 481, 465, 5431, 68, 6270, 68, 481, 204, 264, 407, 6116, 68, 481, 204, 204, 461, 2281, 68, 20411, 68, 30397, 13, 20411, 68, 30397, 68, 553, 68, 546, 31, 394, 17, 6116, 68, 481, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 10515, 5962, 10065, 311, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 5962, 68, 30397, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 268, 6116, 68, 481, 322, 655, 330, 332, 458, 302, 6116, 5962, 1483, 329, 5431, 3200, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 9752, 204, 264, 27893, 289, 1137, 68, 14941, 13, 20411, 68, 30397, 68, 553, 68, 546, 14, 204, 264, 314, 763, 275, 1646, 1237, 542, 204, 264, 3015, 289, 27893, 736, 4803, 22, 3750, 1129, 68, 937, 204, 264, 314, 1861, 1048, 848, 1237, 204, 264, 348, 1237, 292, 933, 13, 22, 17, 3015, 465, 368, 330, 204, 268, 314, 1716, 5634, 4184, 204, 268, 314, 5634, 68, 3520, 19, 6667, 12392, 13, 937, 17, 846, 34, 3173, 14, 204, 268, 456, 13, 75, 12, 18055, 1237, 463, 937, 98, 17773, 204, 268, 314, 763, 275, 2092, 700, 204, 268, 2092, 68, 876, 289, 27893, 736, 4803, 22, 6970, 75, 12, 38, 96, 937, 98, 3750, 876, 204, 268, 810, 31, 204, 305, 314, 1986, 275, 2384, 1222, 204, 305, 2384, 68, 359, 289, 2092, 68, 876, 64, 2500, 31, 4462, 66, 204, 305, 314, 1861, 1048, 275, 6116, 424, 292, 4036, 1552, 204, 305, 348, 296, 292, 933, 13, 1796, 13, 13551, 68, 481, 14, 338, 368, 17, 338, 22, 17, 338, 22, 330, 204, 485, 2384, 68, 1270, 289, 6116, 68, 481, 64, 78, 66, 204, 485, 314, 778, 397, 275, 2384, 1222, 4083, 204, 485, 397, 2384, 68, 359, 564, 2384, 68, 1270, 64, 21, 744, 204, 895, 314, 1861, 1048, 275, 4207, 292, 275, 1237, 204, 895, 348, 781, 292, 933, 13, 23, 17, 2468, 330, 204, 2058, 314, 763, 275, 2092, 700, 204, 2058, 2092, 68, 876, 289, 27893, 736, 4803, 22, 6970, 75, 12, 38, 96, 937, 465, 781, 98, 3750, 876, 204, 2058, 314, 778, 397, 275, 2092, 700, 4083, 275, 1812, 700, 204, 2058, 397, 2092, 68, 876, 564, 379, 4256, 2615, 20326, 1984, 25917, 17983, 13445, 2134, 1251, 597, 204, 4511, 2280, 204, 2058, 314, 778, 397, 275, 2092, 700, 353, 292, 275, 2384, 3986, 204, 2058, 1677, 394, 13, 4039, 68, 876, 0 ]

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

[ 0, 14, 292, 2384, 68, 1270, 31, 204, 4511, 314, 1716, 275, 2092, 1019, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 41, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 22, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 42, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 23, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 43, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 25, 66, 204, 4511, 27893, 736, 4803, 22, 6970, 75, 12, 44, 96, 937, 465, 781, 98, 3750, 876, 289, 2384, 68, 1270, 64, 26, 66, 204, 4511, 456, 13, 75, 12, 10510, 2384, 463, 4865, 68, 359, 98, 440, 5962, 542, 463, 4039, 68, 876, 3501, 204, 4511, 314, 3182, 275, 2384, 3986, 497, 275, 6116, 424, 204, 4511, 6116, 68, 481, 19, 3377, 13, 78, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 12, 596, 5539, 1237, 463, 937, 2829, 463, 74, 3501, 204, 305, 3524, 204, 264, 314, 3025, 275, 9752, 204, 264, 27893, 19, 2360, 13, 20411, 68, 30397, 68, 553, 68, 546, 14, 204, 264, 314, 5706, 275, 9752, 204, 264, 27893, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 968, 275, 5328, 204, 264, 5328, 289, 551, 204, 268, 551, 4335, 19, 3430, 611, 5768, 5153, 12334, 22379, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 22881, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 5768, 7, 22776, 6883, 8310, 7, 9671, 12334, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 2597, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 5768, 7, 13721, 16040, 3579, 7, 9671, 12334, 26877, 204, 268, 551, 4335, 19, 3383, 2144, 22176, 19, 2597, 39, 18615, 611, 26434, 26877, 204, 268, 551, 4335, 19, 3430, 611, 6152, 31295, 26877, 204, 268, 551, 4335, 19, 27110, 12392, 13, 5758, 17, 11640, 833, 77, 491, 1302, 3644, 2169, 17, 1199, 659, 896, 833, 10404, 3520, 26877, 204, 268, 551, 4335, 19, 6059, 611, 6776, 6152, 491, 1302, 3644, 1003, 17, 368, 3917, 22176, 19, 6059, 611, 28317, 491, 1302, 3644, 1003, 17, 368, 12529, 204, 264, 2437, 204, 204, 264, 314, 666, 275, 2158, 204, 264, 2158, 289, 22176, 19, 5114, 611, 39969, 13721, 16040, 3579, 2677, 3664, 21005, 226, 7720, 2653, 491, 5328, 17, 8834, 833, 7125, 20, 85, 689, 7489, 19, 8493, 534, 204, 264, 314, 763, 275, 5634, 4184, 204, 264, 5634, 68, 3520, 289, 2158, 736, 10404, 3520, 839, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 1606, 275, 1643, 329, 1019, 204, 268, 1643, 17, 1019, 289, 2158, 19, 976, 374, 204, 268, 397, 1643, 292, 322, 3170, 17, 379, 28317, 4448, 204, 305, 2280, 204, 268, 810, 31, 204, 305, 314, 763, 275, 6275, 510, 832, 204, 305, 9229, 68, 553, 68, 546, 289, 1019, 64, 21, 66, 465, 22405, 204, 305, 314, 763, 275, 5962, 1483, 424, 204, 305, 5962, 68, 1270, 68, 481, 289, 636, 68, 20411, 68, 1270, 68, 481, 13, 5153, 68, 553, 68, 546, 14, 204, 305, 314, 763, 275, 5431, 3200, 510, 832, 204, 305, 5431, 68, 6270, 68, 553, 68, 546, 289, 1019, 64, 22, 66, 204, 305, 314, 763, 275, 5431, 3200, 424, 204, 305, 5431, 68, 6270, 68, 481, 289, 636, 68, 16074, 68, 6270, 68, 481, 13, 16074, 68, 6270, 68, 553, 68, 546, 14, 204, 305, 314, 9761, 275, 5962, 1483, 424, 329, 5431, 3200, 424, 204, 305, 6116, 68, 481, 289, 6879, 68, 20411, 68, 1270, 68, 481, 13, 20411, 68, 1270, 68, 481, 17, 5431, 68, 6270, 68, 481, 14, 204, 305, 314, 763, 275, 5962, 10065, 510, 832, 204, 305, 5962, 68, 30397, 68, 553, 68, 546, 289, 1019, 64, 23, 66, 204, 305, 314, 3400, 275, 5962, 10065, 204, 305, 2281, 68, 20411, 68, 30397, 13, 20411, 68, 30397, 68, 553, 68, 546, 17, 6116, 68, 481, 14, 204, 305, 314, 6426, 273, 29829, 204, 305, 22176, 19, 17566, 398, 611, 11514, 12023, 33313, 4134, 491, 1236, 68, 1778, 3520, 34, 1021, 17, 3550, 68, 271, 68, 2723, 34, 1021, 17, 5665, 68, 2640, 833, 28001, 534, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 74, 14, 204, 305, 314, 6426, 273, 29829, 204, 305, 22176, 19, 17566, 398, 611, 4796, 10717, 5768, 460, 12334, 35581, 9862, 16338, 4134, 491, 1236, 68, 1778, 3520, 34, 1021, 17, 3550, 68, 271, 68, 2723, 34, 1021, 17, 5665, 68, 2640, 833, 28001, 534, 204, 204, 264, 314, 5706, 275, 2158, 204, 264, 2158, 19, 3529, 374, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1437, 204, 647, 1437, 19, 2606, 19, 14213, 448, 472, 204, 531, 2821, 532, 29555, 204, 531, 520, 10324, 19, 809, 532, 15317, 46061, 204, 531, 520, 10324, 19, 47021, 532, 2680, 1219, 17560, 13308, 204, 531, 12325, 532, 636, 68, 3075, 204, 204, 676, 2680, 1219, 20613, 31, 204, 264, 320, 204, 264, 332, 850, 348, 1737, 273, 678, 18, 7245, 14686, 570, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 954, 31, 1135, 17, 2042, 34, 3170, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 2680, 1219, 20613, 850, 19, 204, 204, 268, 457, 31, 204, 268, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 268, 338, 2042, 322, 9899, 330, 334, 1354, 18, 1054, 1906, 19, 204, 268, 320, 204, 268, 370, 19, 1087, 289, 954, 204, 268, 370, 19, 3075, 289, 636, 68, 3075, 13, 1038, 19, 6995, 397, 2042, 902, 1078, 14, 204, 268, 370, 19, 809, 31, 15317, 46061, 289, 370, 806, 1510, 68, 809, 374, 204, 268, 370, 19, 7560, 289, 370, 806, 1510, 68, 7560, 374, 204, 268, 370, 19, 20908, 289, 1437, 19, 6938, 19, 2063, 19, 44, 9391, 11722, 374, 226, 314, 348, 23922, 9493, 18, 12258, 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, 370, 19, 2045, 68, 5270, 289, 370, 806, 3446, 68, 2045, 68, 5270, 374, 204, 268, 370, 19, 1219, 68, 4593, 289, 500, 204, 204, 264, 436, 906, 1510, 68, 809, 13, 327, 14, 393, 15317, 46061, 31, 204, 268, 320, 204, 268, 2605, 275, 678, 18, 7245, 14686, 570, 19, 204, 204, 268, 475, 31, 204, 268, 338, 15317, 46061, 31, 334, 678, 18, 7245, 14686, 570, 19, 204, 268, 320, 204, 268, 570, 289, 15317, 46061, 13, 204, 305, 17940, 68, 266, 34, 327, 19, 1087, 736, 7021, 68, 835, 2043, 204, 305, 10168, 68, 1796, 34, 327, 19, 1087, 736, 6734, 68, 1796, 2043, 204, 305, 33718, 68, 2230, 34, 327, 19, 1087, 736, 24102, 68, 2230, 2043, 204, 305, 3358, 68, 2230, 34, 327, 19, 1087, 736, 7726, 68, 2230, 2043, 204, 305, 17940, 68, 14057, 34, 327, 19, 1087, 736, 14600, 68, 14057, 2043, 204, 305, 1526, 68, 2230, 34, 327, 19, 1087, 736, 1885, 68, 2230, 2043, 204, 305, 17940, 68, 3814, 34, 327, 19, 1087, 736, 14600, 68, 3814, 2043, 204, 305, 17940, 68, 17814, 34, 23, 17, 204, 305, 8482, 34, 327, 19, 1087, 736, 10149, 2043, 204, 305, 7757, 34, 327, 19, 1087, 736, 2594, 68, 5915, 2043, 204, 305, 6005, 68, 932, 34, 327, 19, 1087, 736, 12857, 68, 932, 2043, 204, 268, 14647, 633, 13, 327, 19, 3075, 14, 204, 268, 407, 2680, 1219, 17560, 13308, 13, 809, 789, 633, 13, 327, 19, 3075, 14, 204, 204, 264, 436, 906, 1510, 68, 7560, 13, 327, 14, 393, 1437, 19, 4647, 19, 12967, 31, 204, 268, 320, 204, 268, 2605, 275, 14272, 4209, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 4647, 19, 12967, 31, 334, 14272, 4209, 19, 204, 268, 320, 204, 268, 407, 1437, 19, 4647, 19, 12967, 13, 327, 19, 809, 19, 3465, 2144, 10264, 34, 327, 19, 1087, 736, 6859, 68, 1949, 2378, 204, 204, 264, 436, 906, 3446, 68, 2045, 68, 5270, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 1395, 3133, 19, 204, 204, 268, 475, 31, 204, 268, 338, 421, 31, 334, 1395, 3133, 19, 204, 268, 320, 204, 268, 407, 29555, 13, 327, 19, 1087, 736, 2884, 68, 835, 839, 802, 370, 19, 1087, 736, 24113, 68, 2884, 68, 835, 2378, 204, 204, 264, 436, 906, 3446, 68, 23219, 68, 18158, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 1948, 68, 2185, 31, 1437, 19, 35168, 204, 264, 1179, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 18384, 3269, 20638, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 1948, 68, 2185, 322, 3109, 19, 35168, 330, 334, 1948, 1769, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 1556, 31, 334, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 18384, 3269, 20638, 2210, 204, 268, 18384, 68, 2119, 68, 3443, 289, 1948, 68, 2185, 3721, 500, 204, 268, 18384, 68, 10185, 289, 1948, 68, 2185, 64, 23219, 68, 2119, 68, 3443, 66, 204, 268, 18384, 68, 2119, 68, 11792, 289, 370, 19, 809, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 3208, 34, 12857, 68, 3497, 5604, 22, 1799, 23219, 68, 2119, 68, 3443, 66, 204, 268, 407, 472, 19, 9634, 68, 9450, 13, 23219, 68, 2119, 68, 11792, 17, 18384, 68, 10185, 14, 204, 204, 264, 436, 906, 3446, 68, 88, 760, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 4094, 68, 1115, 31, 1437, 19, 35168, 204, 264, 1179, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 3989, 275, 4094, 1552, 4497, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 4094, 68, 1115, 322, 3109, 19, 35168, 330, 334, 4094, 1552, 19, 204, 204, 268, 475, 31, 204, 268, 338, 1437, 19, 1556, 31, 334, 4094, 1552, 4497, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4094, 1552, 4497, 2210, 204, 268, 4963, 68, 11792, 289, 370, 19, 809, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 3208, 34, 12857, 68, 3497, 5604, 21, 66, 204, 268, 407, 472, 19, 9634, 68, 9450, 13, 4621, 68, 11792, 17, 4094, 68, 1115, 14, 204, 204, 264, 1642, 3109, 19, 6938, 19, 2063, 19, 2236, 912, 812, 374, 204, 264, 436, 906, 3446, 68, 2650, 13, 204, 268, 370, 17, 537, 68, 1915, 31, 1437, 19, 35168, 17, 4724, 68, 1915, 31, 1437, 19, 35168, 17, 6005, 68, 3497, 31, 1437, 19, 41841, 1556, 17, 1948, 68, 2185, 31, 1437, 19, 35168, 17, 4094, 68, 1115, 31, 1437, 19, 35168, 204, 264, 1179, 393, 927, 31, 204, 268, 320, 204, 268, 3989, 275, 1113, 2210, 19, 204, 204, 268, 457, 31, 204, 268, 338, 537, 68, 1915, 322, 3109, 19, 35168, 330, 334, 537, 4192, 19, 204, 268, 338, 4724, 68, 1915, 322, 3109, 19, 35168, 330, 334, 4724, 4192, 19, 204, 268, 338, 6005, 68, 3497, 322, 3109, 19, 41841, 1556, 330, 334, 6005, 3208, 19, 204, 268, 338, 1948, 68, 2185, 322, 3109, 19, 35168, 330, 334, 1948, 1769, 19, 204, 268, 338, 4094, 68, 1115, 322, 3109, 19, 35168, 330, 334, 4094, 1552, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 0 ]

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

[ 0, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 888, 275, 4094, 1552, 4497, 2210, 204, 268, 754, 85, 68, 2650, 289, 370, 806, 3446, 68, 88, 760, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 4094, 68, 1115, 14, 204, 204, 268, 314, 888, 275, 18384, 3269, 20638, 2210, 204, 268, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 23219, 68, 18158, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 14, 204, 204, 268, 314, 888, 275, 1113, 2210, 204, 268, 1113, 68, 2650, 289, 754, 85, 68, 2650, 465, 18384, 68, 18158, 68, 2650, 204, 204, 268, 407, 1113, 68, 2650, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 436, 906, 18990, 68, 2884, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 16515, 88, 275, 2068, 329, 9935, 88, 490, 311, 275, 2322, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 37178, 2068, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 329, 9935, 490, 311, 275, 2322, 204, 268, 407, 927, 13, 3116, 19, 633, 13, 327, 19, 3075, 14, 348, 2162, 292, 2068, 14, 204, 204, 264, 436, 951, 68, 2290, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 1051, 1660, 302, 1737, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 204, 268, 537, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 17, 4094, 68, 1115, 289, 370, 806, 18990, 68, 2884, 13, 2884, 14, 204, 204, 268, 314, 1359, 275, 570, 311, 1737, 2291, 204, 268, 370, 19, 809, 19, 1219, 374, 204, 204, 268, 314, 888, 275, 2210, 204, 268, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 19, 2107, 2144, 1948, 68, 2185, 17, 4094, 68, 1115, 14, 204, 204, 268, 314, 12155, 275, 2210, 329, 13468, 204, 268, 370, 19, 20908, 19, 3782, 13, 2650, 802, 370, 19, 2045, 68, 5270, 789, 12242, 374, 204, 204, 268, 314, 1716, 275, 951, 3214, 204, 268, 370, 19, 1219, 68, 4593, 1412, 368, 204, 204, 268, 314, 1716, 275, 2072, 397, 3600, 204, 268, 397, 370, 19, 1219, 68, 4593, 1564, 370, 19, 2045, 68, 5270, 564, 500, 31, 204, 305, 370, 806, 2045, 68, 3465, 374, 204, 204, 268, 407, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 1642, 3109, 19, 1625, 68, 6164, 374, 204, 264, 436, 10712, 68, 2290, 13, 327, 17, 2068, 31, 927, 14, 393, 927, 31, 204, 268, 320, 204, 268, 9715, 1051, 1660, 302, 6440, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2068, 322, 2644, 330, 334, 2068, 19, 204, 204, 268, 475, 31, 204, 268, 338, 927, 31, 334, 1113, 2210, 17, 275, 4094, 1552, 4497, 2210, 17, 329, 275, 18384, 3269, 20638, 2210, 19, 204, 268, 320, 204, 268, 314, 16515, 275, 2068, 204, 268, 537, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 17, 1948, 68, 2185, 17, 4094, 68, 1115, 289, 370, 806, 18990, 68, 2884, 13, 2884, 14, 204, 204, 268, 314, 1359, 275, 570, 311, 6440, 2291, 204, 268, 370, 19, 809, 19, 6844, 374, 204, 204, 268, 314, 888, 275, 2210, 204, 268, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 370, 806, 3446, 68, 2650, 13, 768, 68, 1915, 17, 4724, 68, 1915, 17, 6005, 68, 3497, 19, 2107, 2144, 1948, 68, 2185, 17, 4094, 68, 1115, 14, 204, 204, 268, 407, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 204, 204, 264, 436, 906, 2045, 68, 3465, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 2072, 974, 275, 22513, 11431, 19, 204, 268, 320, 204, 268, 314, 1687, 275, 4209, 204, 268, 370, 19, 20908, 19, 2290, 13, 327, 19, 7560, 14, 204, 204, 268, 314, 1716, 275, 11850, 204, 268, 370, 19, 20908, 19, 2045, 374, 204, 204, 268, 314, 7628, 275, 11431, 204, 268, 370, 19, 7560, 19, 5306, 68, 6164, 374, 204, 204, 264, 436, 2106, 68, 9488, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9716, 275, 570, 7974, 19, 204, 204, 268, 457, 31, 204, 268, 338, 832, 322, 325, 330, 334, 832, 311, 2106, 275, 7974, 19, 204, 268, 320, 204, 268, 314, 3025, 275, 570, 1259, 955, 204, 268, 1437, 19, 2360, 13, 327, 19, 809, 19, 1512, 68, 873, 2144, 832, 14, 204, 204, 264, 436, 1137, 68, 9488, 13, 327, 17, 832, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5984, 275, 570, 7974, 19, 204, 204, 268, 457, 31, 204, 268, 338, 832, 322, 325, 330, 334, 832, 311, 1137, 275, 7974, 19, 204, 268, 320, 204, 268, 314, 1385, 275, 570, 1259, 955, 204, 268, 370, 19, 809, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 546, 602, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 968, 275, 1586, 204, 264, 954, 289, 463, 204, 268, 379, 7021, 68, 835, 597, 3861, 17, 204, 268, 379, 6734, 68, 1796, 597, 12251, 17, 204, 268, 379, 24102, 68, 2230, 597, 7328, 17, 204, 268, 379, 7726, 68, 2230, 597, 7569, 17, 204, 268, 379, 14600, 68, 14057, 597, 1132, 17, 204, 268, 379, 1885, 68, 2230, 597, 5737, 17, 204, 268, 379, 14600, 68, 3814, 0 ]

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

[ 0, 597, 887, 17, 204, 268, 379, 10149, 597, 500, 19, 22, 17, 204, 268, 379, 2594, 68, 5915, 597, 959, 17, 204, 268, 379, 12857, 68, 932, 597, 379, 13050, 68, 3005, 68, 2572, 491, 204, 268, 379, 6859, 68, 1949, 597, 368, 74, 18, 25, 17, 204, 268, 379, 2884, 68, 835, 597, 4236, 17, 204, 268, 379, 24113, 68, 2884, 68, 835, 597, 2247, 17, 204, 264, 1211, 204, 204, 264, 314, 666, 275, 11136, 204, 264, 11136, 289, 2680, 1219, 20613, 13, 1087, 14, 204, 204, 264, 314, 666, 273, 11330, 2068, 204, 264, 2068, 289, 322, 204, 268, 1437, 19, 5574, 13, 21, 17, 3861, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 2422, 22, 17, 3861, 17, 322, 2177, 17, 12251, 3917, 204, 268, 1437, 19, 5574, 13, 21, 17, 435, 17, 322, 2177, 41441, 204, 264, 1179, 204, 204, 264, 314, 3055, 273, 1737, 1660, 204, 264, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 11136, 19, 1219, 68, 2290, 13, 2884, 14, 204, 264, 456, 13, 75, 7, 9473, 31, 463, 2650, 19, 1271, 22215, 25, 75, 1522, 387, 9927, 11205, 31, 463, 88, 760, 68, 2650, 19, 1271, 22215, 25, 75, 1522, 21075, 336, 34183, 11205, 31, 463, 23219, 68, 18158, 68, 2650, 19, 1271, 22215, 25, 75, 743, 204, 204, 264, 314, 3055, 437, 6440, 1660, 204, 264, 2210, 17, 754, 85, 68, 2650, 17, 18384, 68, 18158, 68, 2650, 289, 11136, 19, 6844, 68, 2290, 13, 2884, 14, 204, 264, 456, 13, 75, 7, 9473, 31, 463, 2650, 19, 1271, 22215, 25, 75, 1522, 387, 9927, 11205, 31, 463, 88, 760, 68, 2650, 19, 1271, 22215, 25, 75, 1522, 21075, 336, 34183, 11205, 31, 463, 23219, 68, 18158, 68, 2650, 19, 1271, 22215, 25, 75, 743, 204, 0, 647, 2044, 23, 204, 647, 1361, 204, 647, 4378, 204, 25730, 19, 598, 499, 36546, 431, 204, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 204, 461, 1137, 68, 935, 13, 935, 68, 805, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 437, 752, 497, 273, 1274, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 311, 1137, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 3271, 752, 17, 521, 443, 397, 4644, 5585, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 752, 974, 13198, 204, 268, 3840, 289, 2044, 23, 19, 10465, 13, 935, 68, 805, 14, 204, 268, 314, 2208, 275, 752, 497, 33912, 311, 10292, 204, 268, 3840, 289, 2044, 23, 19, 13104, 13, 3371, 17, 2044, 23, 19, 6828, 68, 13219, 23, 12685, 14, 204, 268, 407, 3840, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 1169, 2744, 496, 1336, 1882, 4644, 204, 268, 1361, 19, 718, 13, 75, 7, 3504, 311, 1137, 752, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 838, 68, 11552, 374, 393, 927, 31, 204, 264, 320, 204, 264, 666, 20266, 440, 571, 2630, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 4368, 329, 2327, 8648, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4368, 440, 571, 20266, 204, 264, 2836, 17, 322, 1474, 22, 17, 1711, 23, 17, 1711, 24, 14, 289, 1513, 19, 11552, 13, 22, 17, 571, 14, 204, 264, 314, 1359, 275, 4368, 1302, 204, 264, 2836, 19, 574, 68, 835, 68, 22520, 13, 29, 17, 887, 14, 204, 264, 407, 2836, 17, 1711, 22, 17, 1711, 23, 17, 1711, 24, 204, 204, 461, 1807, 68, 935, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 437, 752, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 752, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 19, 204, 264, 320, 204, 264, 314, 3740, 275, 752, 523, 275, 3138, 204, 264, 1711, 19, 8122, 13, 3371, 14, 204, 264, 314, 8174, 2258, 275, 3138, 204, 264, 1711, 19, 3399, 499, 3008, 431, 204, 204, 461, 1807, 68, 22657, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 17, 15376, 31, 645, 19, 766, 17, 41610, 68, 2199, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 15376, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 15376, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 275, 15376, 523, 19, 204, 268, 15376, 322, 1123, 19, 766, 330, 334, 15376, 311, 1807, 19, 204, 268, 41610, 68, 2199, 322, 655, 330, 334, 1987, 302, 275, 15376, 19, 204, 264, 320, 204, 264, 314, 3045, 848, 41610, 204, 264, 348, 917, 17, 588, 292, 4337, 13, 22657, 17, 41610, 68, 2199, 330, 204, 268, 314, 4456, 273, 3620, 630, 275, 41610, 2852, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 339, 13, 1096, 64, 21, 5060, 421, 13, 1096, 64, 22, 23850, 1132, 17, 322, 21, 17, 7569, 17, 4580, 659, 204, 13429, 13276, 8981, 22, 17, 1007, 2191, 34, 4869, 23, 19, 21009, 9249, 14, 204, 268, 314, 4456, 275, 41610, 588, 1682, 311, 275, 3620, 204, 268, 2044, 23, 19, 28412, 13, 3371, 17, 11465, 14303, 2478, 13, 417, 659, 322, 339, 13, 1096, 64, 21, 694, 465, 931, 17, 421, 13, 1096, 64, 22, 694, 465, 931, 659, 204, 895, 2044, 23, 19, 14340, 68, 29398, 68, 36958, 17, 500, 19, 26, 17, 322, 4808, 17, 4580, 17, 7569, 659, 368, 17, 1007, 2191, 34, 4869, 23, 19, 14244, 68, 7690, 14, 204, 264, 314, 3045, 275, 752, 440, 15376, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1807, 68, 935, 13, 1474, 17, 3840, 14, 204, 204, 461, 1807, 68, 36332, 88, 13, 1474, 31, 1513, 19, 16571, 17, 3840, 31, 645, 19, 766, 17, 15376, 31, 645, 19, 766, 17, 20984, 68, 12373, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 20984, 88, 523, 437, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 275, 20984, 88, 523, 19, 204, 268, 3840, 322, 1123, 19, 766, 330, 334, 752, 311, 1807, 275, 20984, 88, 523, 19, 204, 268, 15376, 322, 1123, 19, 766, 330, 334, 15376, 311, 1807, 19, 204, 268, 20984, 68, 12373, 322, 655, 330, 334, 7369, 1283, 15376, 19, 204, 264, 320, 204, 264, 314, 3045, 848, 41610, 204, 264, 348, 917, 292, 15376, 31, 204, 268, 314, 4456, 273, 3620, 630, 275, 41610, 2852, 204, 268, 2044, 23, 19, 9085, 13, 3371, 17, 322, 339, 13, 1096, 64, 21, 5060, 421, 13, 1096, 64, 22, 23850, 1132, 17, 322, 21, 17, 7569, 17, 4580, 659, 204, 13429, 13276, 8981, 22, 17, 1007, 2191, 34, 4869, 23, 19, 21009, 9249, 14, 204, 264, 314, 3045, 848, 20984, 1727, 204, 264, 348, 1727, 292, 20984, 68, 12373, 31, 204, 268, 314, 763, 275, 970, 15376, 292, 275, 1727, 204, 268, 917, 68, 70, 289, 15376, 64, 2602, 64, 21, 2629, 204, 268, 917, 68, 71, 289, 15376, 64, 2602, 64, 22, 2629, 204, 268, 314, 4456, 273, 1007, 1283, 275, 970, 15376, 204, 268, 2044, 23, 19, 1054, 13, 3371, 17, 322, 339, 13, 1096, 68, 70, 64, 21, 5060, 421, 13, 1096, 68, 70, 64, 22, 23850, 204, 1095, 322, 339, 13, 1096, 68, 71, 64, 21, 5060, 421, 13, 1096, 68, 71, 64, 22, 23850, 322, 4808, 17, 4580, 17, 7569, 659, 435, 14, 204, 264, 314, 3045, 275, 752, 440, 20984, 88, 204, 264, 1807, 68, 935, 13, 1474, 17, 3840, 14, 204, 204, 461, 8603, 68, 3473, 13, 935, 68, 805, 31, 394, 17, 22484, 68, 20162, 31, 645, 19, 766, 17, 846, 68, 3992, 31, 645, 19, 766, 17, 846, 68, 876, 31, 818, 17, 41610, 68, 2199, 31, 458, 17, 20984, 68, 12373, 31, 458, 14, 393, 443, 31, 204, 264, 320, 204, 264, 12626, 11139, 15376, 329, 20984, 88, 523, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 311, 8603, 19, 204, 268, 22484, 68, 20162, 322, 1123, 19, 766, 330, 334, 22484, 6220, 311, 3120, 311, 275, 15376, 19, 204, 268, 846, 68, 3992, 322, 1123, 19, 766, 330, 334, 3265, 302, 275, 1646, 1019, 19, 204, 268, 846, 68, 876, 322, 996, 330, 334, 1646, 700, 19, 204, 268, 41610, 68, 2199, 322, 655, 330, 334, 1987, 302, 275, 15376, 19, 204, 268, 20984, 68, 12373, 322, 655, 330, 334, 7369, 1283, 15376, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 752, 204, 264, 3840, 289, 1137, 68, 935, 13, 935, 68, 805, 14, 204, 264, 397, 3840, 353, 443, 31, 204, 268, 314, 828, 275, 752, 5585, 311, 1137, 17, 407, 204, 268, 407, 204, 204, 264, 314, 666, 20266, 204, 264, 2836, 17, 1711, 22, 17, 1711, 23, 17, 1711, 24, 289, 838, 68, 11552, 374, 204, 264, 314, 1359, 275, 4368, 1724, 204, 264, 2836, 19, 44503, 499, 2683, 2160, 348, 14761, 2478, 13, 935, 68, 805, 659, 15398, 1022, 93, 18, 13092, 431, 204, 204, 264, 314, 5278, 368, 31, 2171, 752, 204, 264, 314, 13070, 275, 752, 204, 264, 3840, 22, 289, 2044, 23, 19, 9522, 13, 3371, 17, 322, 6372, 17, 12251, 659, 12313, 34, 4869, 23, 19, 9917, 68, 14244, 1801, 14, 204, 264, 314, 3045, 275, 752, 204, 264, 1807, 68, 935, 13, 1474, 22, 17, 3840, 22, 14, 204, 204, 264, 314, 5278, 435, 329, 571, 31, 43272, 752, 204, 264, 314, 36157, 275, 22484, 6220, 204, 264, 6276, 68, 33090, 289, 645, 19, 11450, 19, 11334, 13, 33090, 68, 20162, 14, 204, 264, 314, 666, 273, 1525, 302, 1728, 311, 3204, 204, 264, 1728, 68, 633, 68, 4072, 289, 645, 19, 3535, 1802, 1796, 13, 1129, 68, 3992, 659, 571, 602, 204, 264, 1728, 68, 633, 68, 4072, 3460, 1164, 23, 66, 289, 645, 19, 643, 13, 1129, 68, 3992, 14, 540, 681, 19, 21, 204, 264, 314, 3291, 275, 6276, 22484, 6220, 204, 264, 7834, 68, 2160, 289, 645, 19, 3005, 13, 16145, 68, 33090, 17, 1728, 68, 633, 68, 4072, 19, 57, 789, 57, 3460, 1164, 23, 66, 204, 264, 314, 666, 273, 43272, 752, 204, 264, 43272, 68, 3371, 289, 322, 21, 19, 26, 540, 3840, 789, 7532, 13, 1123, 19, 9283, 29, 14, 204, 204, 264, 314, 5278, 435, 31, 15376, 204, 264, 314, 10235, 275, 43272, 752, 204, 264, 3840, 23, 289, 43272, 68, 3371, 19, 3462, 374, 204, 264, 314, 3045, 275, 15376, 204, 264, 1807, 68, 22657, 13, 1474, 23, 17, 3840, 23, 17, 7834, 68, 2160, 17, 41610, 68, 2199, 14, 204, 204, 264, 314, 5278, 571, 31, 20984, 88, 204, 264, 314, 10235, 275, 43272, 752, 204, 264, 3840, 24, 289, 43272, 68, 3371, 19, 3462, 374, 204, 264, 314, 3045, 275, 20984, 88, 204, 264, 1807, 68, 36332, 88, 13, 1474, 24, 17, 3840, 24, 17, 7834, 68, 2160, 17, 20984, 68, 12373, 14, 204, 204, 264, 314, 14312, 275, 31989, 204, 264, 1513, 19, 11552, 68, 16026, 13, 2723, 34, 22, 17, 5533, 34, 21, 19, 3222, 17, 1629, 34, 21, 19, 4966, 17, 1824, 34, 21, 19, 5559, 17, 373, 2816, 34, 21, 17, 306, 2816, 34, 21, 19, 4779, 14, 204, 264, 1513, 19, 34167, 1679, 13, 21, 17, 500, 14, 204, 204, 264, 314, 3025, 275, 4368, 204, 264, 2106, 68, 805, 289, 752, 68, 805, 19, 1590, 45045, 21, 66, 465, 12895, 3473, 19, 5684, 7, 204, 264, 1513, 19, 12273, 13, 2360, 68, 805, 14, 204, 264, 1361, 19, 1270, 499, 22910, 1613, 292, 14761, 2478, 13, 2360, 68, 805, 602, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 0 ]

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

[ 0, 564, 891, 660, 894, 204, 264, 752, 68, 805, 289, 388, 546, 68, 633, 68, 7941, 68, 935, 19, 5684, 7, 204, 264, 22484, 68, 20162, 289, 645, 19, 643, 8963, 22, 17, 500, 17, 500, 648, 551, 21, 17, 368, 17, 500, 648, 551, 21, 17, 500, 17, 368, 4097, 204, 264, 846, 68, 3992, 289, 645, 19, 643, 8963, 1003, 17, 931, 648, 551, 1036, 17, 1199, 648, 551, 2188, 17, 2468, 4097, 204, 264, 846, 68, 876, 289, 368, 19, 21, 204, 264, 41610, 68, 2199, 289, 3134, 644, 1096, 22, 528, 388, 644, 1096, 23, 528, 388, 644, 1096, 24, 1339, 204, 264, 20984, 68, 12373, 289, 5787, 21, 17, 368, 648, 551, 22, 17, 435, 2629, 204, 264, 8603, 68, 3473, 13, 935, 68, 805, 17, 22484, 68, 20162, 17, 846, 68, 3992, 17, 846, 68, 876, 17, 41610, 68, 2199, 17, 20984, 68, 12373, 14, 204, 0, 461, 1040, 68, 3641, 68, 633, 68, 5934, 68, 3573, 13, 1129, 68, 4589, 68, 13437, 31, 421, 17, 846, 68, 2051, 68, 13437, 31, 421, 17, 846, 68, 1719, 68, 13437, 31, 421, 17, 1029, 68, 3949, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 974, 8593, 302, 21992, 5106, 17, 1607, 17, 329, 2753, 19, 204, 204, 264, 457, 31, 204, 268, 846, 68, 4589, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 5106, 8593, 19, 204, 268, 846, 68, 2051, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 1607, 8593, 19, 204, 268, 846, 68, 1719, 68, 13437, 322, 339, 330, 334, 1646, 542, 302, 2753, 8593, 19, 204, 268, 1029, 68, 3949, 322, 339, 330, 334, 1029, 1690, 311, 1895, 2652, 348, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1554, 311, 1640, 275, 542, 302, 3942, 311, 1895, 2652, 204, 264, 3942, 68, 633, 68, 5934, 68, 3573, 289, 500, 204, 615, 264, 314, 1861, 1048, 830, 2237, 5687, 302, 8593, 204, 264, 348, 296, 292, 933, 13, 1129, 68, 4589, 68, 13437, 465, 368, 330, 204, 268, 348, 781, 292, 933, 13, 1129, 68, 2051, 68, 13437, 465, 368, 330, 204, 305, 348, 724, 292, 933, 13, 1129, 68, 1719, 68, 13437, 465, 368, 330, 204, 485, 314, 778, 397, 275, 790, 5660, 8598, 719, 311, 275, 1029, 1690, 204, 485, 397, 296, 540, 5106, 465, 781, 540, 1607, 465, 724, 540, 2753, 564, 1029, 68, 3949, 31, 204, 895, 314, 828, 490, 1583, 17, 6342, 275, 4328, 204, 895, 3942, 68, 633, 68, 5934, 68, 3573, 1412, 368, 204, 20943, 264, 407, 3942, 68, 633, 68, 5934, 68, 3573, 204, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 3596, 275, 575, 537, 348, 275, 1646, 542, 302, 8593, 329, 275, 1029, 1690, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1646, 542, 302, 5106, 8593, 17, 1607, 8593, 17, 2753, 8593, 17, 329, 275, 1029, 1690, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1646, 542, 302, 8593, 329, 275, 1029, 1690, 497, 275, 575, 204, 305, 846, 68, 4589, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 5106, 8593, 31, 4091, 204, 305, 846, 68, 2051, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 1607, 8593, 31, 4091, 204, 305, 846, 68, 1719, 68, 13437, 289, 421, 13, 768, 499, 2101, 275, 1646, 542, 302, 2753, 8593, 31, 4091, 204, 305, 1029, 68, 3949, 289, 421, 13, 768, 499, 2101, 275, 1029, 1690, 31, 4091, 204, 3123, 305, 314, 778, 397, 275, 1029, 1690, 353, 1950, 18, 4721, 204, 305, 397, 1029, 68, 3949, 962, 500, 31, 204, 485, 456, 499, 12118, 1690, 2950, 444, 2917, 19, 2982, 810, 2528, 1280, 204, 305, 902, 31, 204, 485, 407, 846, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 1892, 1698, 1280, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 6944, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 537, 204, 264, 846, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 289, 636, 68, 816, 68, 768, 374, 204, 615, 264, 314, 888, 275, 542, 302, 3942, 311, 1895, 2652, 204, 264, 3942, 68, 633, 68, 5934, 68, 3573, 289, 1040, 68, 3641, 68, 633, 68, 5934, 68, 3573, 13, 1129, 68, 4589, 68, 13437, 17, 846, 68, 2051, 68, 13437, 17, 846, 68, 1719, 68, 13437, 17, 1029, 68, 3949, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 2841, 529, 463, 3641, 68, 633, 68, 5934, 68, 3573, 98, 3942, 311, 1895, 2652, 348, 275, 1029, 1690, 1280, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 4104, 204, 647, 1127, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 461, 1151, 68, 11824, 13609, 68, 6240, 13, 7488, 68, 1217, 31, 394, 17, 758, 68, 835, 31, 421, 14, 393, 322, 1218, 64, 339, 648, 1061, 64, 339, 17, 783, 64, 339, 3795, 204, 264, 320, 204, 264, 4143, 26069, 2744, 497, 2306, 1860, 292, 275, 5991, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 5991, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 2306, 1860, 19, 204, 268, 758, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 758, 19, 204, 204, 264, 475, 31, 204, 268, 332, 927, 1174, 273, 458, 302, 26069, 908, 16126, 329, 273, 955, 302, 16284, 274, 3824, 908, 16126, 19, 204, 264, 320, 204, 264, 314, 977, 2558, 311, 1640, 26069, 329, 16284, 0 ]

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

[ 0, 274, 3824, 908, 16126, 204, 264, 26069, 68, 5823, 68, 20595, 289, 1306, 204, 264, 16284, 274, 3824, 68, 5823, 68, 20595, 289, 2087, 204, 264, 510, 68, 920, 289, 500, 204, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 5991, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 7488, 68, 1217, 330, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7488, 68, 1217, 17, 510, 14, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 4578, 204, 305, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 485, 4104, 68, 6439, 289, 4104, 19, 6439, 13, 2039, 68, 553, 17, 9336, 43159, 204, 485, 314, 10248, 275, 3494, 1237, 204, 485, 1682, 13, 2039, 68, 6439, 17, 443, 14, 204, 485, 348, 1237, 292, 4104, 68, 6439, 31, 204, 895, 314, 888, 275, 6468, 542, 204, 895, 6468, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 21, 694, 338, 435, 14, 204, 895, 314, 778, 348, 26069, 2744, 204, 895, 397, 421, 13, 937, 64, 22, 694, 564, 500, 329, 6468, 508, 292, 26069, 68, 5823, 68, 20595, 31, 204, 2058, 26069, 68, 5823, 68, 20595, 19, 1223, 13, 6406, 14, 204, 895, 314, 778, 348, 16284, 274, 3824, 2744, 204, 895, 397, 421, 13, 937, 64, 23, 694, 2167, 500, 329, 421, 13, 937, 64, 23, 694, 2167, 25086, 31, 204, 2058, 292, 68, 6406, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 23, 694, 338, 758, 68, 835, 338, 368, 14, 204, 2058, 685, 68, 6406, 289, 510, 68, 920, 540, 758, 68, 835, 465, 322, 339, 13, 937, 64, 24, 694, 338, 435, 14, 204, 2058, 397, 6468, 508, 292, 16284, 274, 3824, 68, 5823, 68, 20595, 31, 204, 4511, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 66, 289, 551, 607, 68, 6406, 66, 204, 2058, 1677, 292, 68, 6406, 508, 292, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 744, 204, 4511, 16284, 274, 3824, 68, 5823, 68, 20595, 64, 6406, 1664, 1223, 13, 607, 68, 6406, 14, 204, 305, 314, 3182, 275, 510, 1877, 5539, 204, 305, 1127, 19, 3956, 13, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 456, 13, 75, 7, 2597, 463, 553, 98, 508, 1193, 1280, 204, 268, 827, 4104, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 6673, 2306, 510, 463, 553, 2829, 463, 74, 743, 204, 204, 268, 510, 68, 920, 1412, 368, 204, 204, 264, 314, 455, 275, 2282, 458, 302, 26069, 908, 16126, 329, 275, 955, 302, 16284, 274, 3824, 908, 16126, 204, 264, 407, 2282, 13, 11824, 13609, 68, 5823, 68, 20595, 659, 16284, 274, 3824, 68, 5823, 68, 20595, 204, 204, 204, 461, 1151, 68, 1289, 84, 68, 2286, 21560, 13, 7488, 68, 1217, 31, 394, 17, 1112, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4143, 480, 4701, 29977, 497, 2306, 1860, 292, 275, 5991, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 5991, 68, 1217, 322, 325, 330, 334, 1445, 1174, 275, 2306, 1860, 19, 204, 268, 1112, 322, 325, 330, 334, 1112, 311, 1813, 348, 292, 275, 2306, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 332, 782, 1174, 275, 480, 4701, 29977, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1554, 311, 1640, 275, 480, 4701, 29977, 204, 264, 317, 2663, 68, 2286, 21560, 289, 3026, 204, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 5991, 1445, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 7488, 68, 1217, 330, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 7488, 68, 1217, 17, 510, 14, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 2306, 510, 329, 1151, 1163, 4578, 204, 305, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 534, 448, 4104, 68, 553, 31, 204, 485, 4104, 68, 6439, 289, 4104, 19, 6439, 13, 2039, 68, 553, 17, 9336, 43159, 204, 485, 348, 1237, 292, 4104, 68, 6439, 31, 204, 895, 314, 778, 397, 275, 1237, 3192, 275, 1112, 204, 895, 397, 1237, 64, 21, 66, 564, 1112, 31, 204, 2058, 314, 1986, 275, 480, 4701, 29977, 497, 275, 1237, 204, 2058, 317, 2663, 68, 2286, 21560, 289, 388, 5161, 1541, 13, 937, 64, 22, 31, 28, 694, 204, 305, 314, 3182, 275, 510, 1877, 5539, 204, 305, 1127, 19, 3956, 13, 553, 68, 546, 14, 204, 268, 827, 3180, 31, 204, 305, 456, 13, 75, 7, 2597, 463, 553, 98, 508, 1193, 1280, 204, 268, 827, 4104, 19, 596, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 6673, 2306, 510, 463, 553, 2829, 463, 74, 743, 204, 204, 264, 314, 455, 275, 480, 4701, 29977, 204, 264, 407, 317, 2663, 68, 2286, 21560, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 2002, 1445, 204, 264, 2002, 68, 1217, 289, 1127, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 11106, 3843, 553, 16862, 204, 264, 314, 968, 275, 5991, 7887, 204, 264, 5991, 68, 1217, 22, 289, 1127, 19, 546, 19, 1541, 13, 3396, 68, 1217, 17, 388, 7488, 22, 431, 204, 264, 5991, 68, 1217, 23, 289, 1127, 19, 546, 19, 1541, 13, 3396, 68, 1217, 17, 388, 7488, 23, 431, 204, 204, 264, 314, 1606, 26069, 2744, 497, 5991, 1445, 368, 204, 264, 26069, 68, 5823, 68, 20595, 17, 16284, 274, 3824, 68, 5823, 68, 20595, 289, 1151, 68, 11824, 13609, 68, 6240, 13, 7488, 68, 1217, 22, 17, 5789, 14, 204, 264, 456, 499, 23438, 13609, 908, 16126, 2180, 26069, 68, 5823, 68, 20595, 14, 204, 264, 456, 499, 43701, 274, 3824, 908, 16126, 2180, 16284, 274, 3824, 68, 5823, 68, 20595, 14, 204, 204, 264, 314, 1606, 480, 4701, 29977, 497, 5991, 1445, 435, 204, 264, 317, 2663, 68, 2286, 21560, 289, 1151, 68, 1289, 84, 68, 2286, 21560, 13, 7488, 68, 1217, 23, 17, 388, 998, 431, 204, 264, 456, 499, 49, 4701, 29977, 2180, 317, 2663, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2286, 21560, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 531, 303, 13005, 68, 70, 738, 82, 3912, 19, 3814, 19, 1420, 68, 2594, 68, 772, 532, 3215, 9384, 3295, 204, 531, 303, 13005, 68, 70, 738, 82, 3912, 19, 3076, 19, 1420, 68, 1241, 68, 11180, 532, 3215, 2533, 8444, 204, 204, 676, 3215, 9384, 8444, 13, 8116, 9384, 3295, 330, 204, 264, 320, 204, 264, 332, 6058, 919, 2522, 348, 275, 412, 21101, 18, 38, 9285, 50, 7206, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 300, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 268, 300, 68, 3076, 322, 339, 330, 334, 542, 302, 2731, 292, 275, 2522, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 204, 268, 370, 17, 716, 268, 1737, 68, 481, 31, 645, 19, 766, 17, 716, 268, 683, 68, 481, 31, 645, 19, 766, 17, 716, 268, 1737, 68, 3037, 31, 645, 19, 766, 17, 716, 268, 1737, 68, 3960, 31, 645, 19, 766, 17, 716, 268, 300, 68, 4077, 31, 421, 17, 716, 268, 4798, 31, 645, 19, 8863, 289, 645, 19, 996, 2177, 204, 264, 1179, 393, 443, 31, 204, 268, 320, 204, 268, 1865, 275, 3215, 9384, 8444, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1737, 68, 481, 322, 1123, 19, 766, 330, 334, 1737, 424, 19, 204, 305, 683, 68, 481, 322, 1123, 19, 766, 330, 334, 683, 424, 19, 204, 305, 1737, 68, 3037, 322, 1123, 19, 766, 330, 334, 1869, 302, 275, 1737, 424, 19, 204, 305, 1737, 68, 3960, 322, 1123, 19, 766, 330, 334, 2599, 5432, 302, 275, 1737, 424, 19, 204, 305, 300, 68, 4077, 322, 339, 330, 334, 542, 302, 4645, 19, 204, 305, 4798, 322, 1123, 19, 8863, 17, 1448, 330, 334, 424, 1187, 19, 1243, 311, 645, 19, 996, 2177, 19, 204, 268, 320, 204, 268, 314, 977, 275, 1034, 850, 440, 683, 424, 204, 268, 2234, 3853, 924, 889, 804, 68, 481, 14, 204, 822, 268, 314, 1359, 275, 542, 302, 4645, 329, 2731, 204, 268, 370, 19, 83, 68, 4077, 289, 300, 68, 4077, 204, 268, 370, 19, 83, 68, 3076, 289, 368, 204, 822, 268, 314, 666, 437, 919, 944, 348, 6058, 204, 268, 919, 68, 1241, 289, 3215, 2533, 8444, 13, 204, 305, 1737, 68, 481, 17, 683, 68, 481, 17, 1737, 68, 3037, 17, 1737, 68, 3960, 17, 300, 68, 4077, 17, 4798, 204, 268, 1179, 204, 822, 268, 314, 1255, 275, 919, 944, 311, 275, 2522, 204, 268, 370, 19, 826, 68, 1241, 13, 1420, 68, 1241, 14, 204, 204, 264, 436, 1672, 68, 531, 68, 4396, 545, 68, 8053, 13, 327, 17, 4645, 68, 558, 68, 1096, 31, 421, 289, 368, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 30439, 497, 275, 37424, 3272, 19, 204, 204, 268, 457, 31, 204, 305, 4645, 68, 558, 68, 1096, 322, 339, 17, 1448, 330, 334, 542, 302, 4645, 841, 917, 19, 1243, 311, 368, 19, 204, 204, 268, 475, 31, 204, 305, 645, 19, 766, 31, 334, 15948, 1019, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1043, 944, 322, 24018, 1422, 677, 1698, 1051, 944, 292, 808, 2522, 14, 204, 268, 314, 329, 1672, 497, 1163, 37424, 3272, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 2393, 68, 531, 68, 4396, 545, 68, 8053, 13, 4077, 68, 558, 68, 1096, 14, 204, 204, 264, 436, 636, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 327, 17, 469, 68, 1309, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 268, 320, 204, 268, 3596, 275, 37424, 3272, 348, 6768, 610, 1019, 19, 204, 204, 268, 457, 31, 204, 305, 469, 68, 1309, 322, 1123, 19, 766, 330, 334, 469, 1019, 19, 204, 204, 268, 475, 31, 204, 305, 645, 19, 766, 31, 334, 37424, 3272, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1043, 944, 322, 24018, 1422, 677, 1698, 1051, 944, 292, 808, 2522, 14, 204, 268, 314, 329, 636, 1163, 37424, 3272, 348, 6768, 610, 1019, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 505, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 94, 68, 1309, 14, 204, 204, 264, 436, 949, 68, 761, 68, 16664, 68, 26510, 13, 327, 14, 393, 927, 31, 204, 268, 320, 204, 268, 3989, 275, 711, 11872, 329, 29696, 348, 273, 6058, 1844, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 711, 11872, 329, 29696, 19, 204, 268, 320, 204, 268, 314, 778, 397, 1422, 677, 1698, 1051, 944, 292, 275, 2522, 204, 268, 397, 1245, 13, 327, 19, 505, 68, 1241, 68, 655, 1447, 2167, 368, 31, 204, 305, 980, 987, 499, 1834, 2522, 1856, 1698, 874, 1051, 944, 431, 204, 822, 268, 314, 763, 275, 711, 11872, 329, 29696, 497, 275, 1043, 944, 204, 268, 407, 370, 19, 505, 68, 1241, 68, 655, 8083, 21, 1664, 3446, 68, 761, 4995, 4925, 68, 26510, 374, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1400, 424, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 1737, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 2051, 17, 368, 14, 204, 264, 683, 68, 481, 289, 645, 19, 2017, 19, 2329, 13, 1719, 17, 368, 14, 204, 264, 1737, 68, 3037, 289, 645, 19, 3037, 13, 5135, 68, 481, 17, 3138, 34, 21, 14, 204, 264, 1737, 68, 3960, 289, 645, 19, 3960, 13, 5135, 68, 481, 17, 3138, 34, 21, 14, 204, 615, 264, 314, 666, 437, 1014, 302, 3215, 9384, 8444, 204, 264, 919, 68, 2594, 289, 3215, 9384, 8444, 13, 204, 268, 1737, 68, 481, 17, 683, 68, 481, 17, 1737, 68, 3037, 17, 1737, 68, 3960, 17, 300, 68, 4077, 34, 2051, 204, 264, 1179, 204, 615, 264, 314, 8111, 497, 275, 37424, 3272, 204, 264, 4645, 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, 919, 68, 2594, 19, 2393, 68, 531, 68, 4396, 545, 68, 8053, 13, 4077, 68, 558, 68, 1096, 34, 1003, 14, 204, 264, 456, 499, 12342, 88, 497, 37424, 3272, 2212, 204, 264, 456, 13, 4077, 14, 204, 615, 264, 314, 763, 275, 37424, 3272, 348, 6768, 610, 1019, 204, 264, 469, 68, 1309, 289, 645, 19, 2017, 19, 2329, 13, 1003, 17, 368, 14, 204, 264, 37424, 68, 8053, 289, 919, 68, 2594, 19, 505, 68, 4396, 545, 68, 8053, 68, 16724, 68, 93, 13, 94, 68, 1309, 14, 204, 264, 456, 499, 19603, 545, 3272, 348, 6768, 610, 1019, 2212, 204, 264, 456, 13, 4396, 545, 68, 8053, 14, 204, 615, 264, 314, 888, 275, 711, 11872, 329, 29696, 204, 264, 711, 68, 16664, 17, 28239, 289, 919, 68, 2594, 19, 3446, 68, 761, 68, 16664, 68, 26510, 374, 204, 264, 456, 499, 3044, 11872, 329, 29696, 2212, 204, 264, 456, 13, 75, 7, 3044, 11872, 31, 463, 761, 68, 16664, 1522, 29696, 31, 463, 26510, 743, 204, 0, 647, 1127, 204, 647, 3805, 448, 1246, 204, 531, 1498, 532, 1884, 204, 204, 676, 4161, 395, 17263, 21300, 1185, 6574, 31, 204, 264, 436, 589, 924, 889, 327, 17, 2349, 31, 1246, 19, 1362, 330, 204, 268, 320, 204, 268, 977, 275, 4161, 395, 17263, 21300, 1185, 4651, 19, 204, 204, 268, 457, 31, 204, 305, 2349, 322, 2600, 19, 1362, 330, 334, 537, 3135, 19, 204, 268, 320, 204, 268, 370, 19, 1695, 289, 2349, 204, 204, 264, 436, 1900, 68, 271, 395, 17263, 21300, 1185, 68, 768, 68, 2375, 13, 327, 17, 919, 68, 3810, 31, 394, 14, 393, 1884, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 204, 268, 320, 204, 268, 2069, 537, 1860, 348, 523, 395, 17263, 21300, 1185, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 204, 268, 475, 31, 204, 305, 927, 31, 332, 927, 1174, 275, 1950, 13041, 329, 7787, 17329, 19, 204, 268, 320, 204, 268, 314, 5988, 329, 15549, 2630, 204, 268, 4285, 68, 3786, 289, 370, 19, 1695, 18810, 45, 811, 84, 68, 23618, 491, 379, 36342, 68, 18983, 491, 379, 57, 37429, 68, 12342, 68, 12392, 1181, 491, 379, 5055, 5543, 68, 1701, 491, 379, 32986, 491, 379, 1560, 6466, 68, 1932, 11653, 204, 268, 4285, 68, 3786, 19, 3786, 289, 2470, 6701, 491, 379, 12342, 491, 379, 57, 37429, 68, 12342, 68, 12392, 1181, 491, 379, 24229, 491, 379, 11819, 491, 379, 1932, 839, 204, 204, 268, 314, 2069, 1950, 13041, 329, 7787, 17329, 204, 268, 314, 3168, 322, 5243, 302, 275, 1216, 6786, 275, 1729, 14, 204, 204, 268, 407, 1950, 13041, 68, 553, 17, 7787, 68, 553, 204, 204, 264, 436, 1523, 68, 271, 395, 17263, 21300, 1185, 68, 2196, 13, 327, 17, 919, 68, 3810, 31, 394, 17, 1950, 13041, 68, 553, 31, 1246, 19, 1362, 17, 7787, 68, 553, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 523, 395, 17263, 21300, 1185, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 305, 1950, 13041, 68, 553, 322, 2600, 19, 1362, 330, 334, 1950, 13041, 3135, 19, 204, 305, 7787, 68, 553, 322, 2600, 19, 1362, 330, 334, 7787, 3135, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 3025, 537, 1860, 311, 9457, 204, 268, 1950, 13041, 68, 553, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 388, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 3186, 12779, 20265, 89, 491, 1112, 34, 1975, 14, 204, 268, 7787, 68, 553, 19, 633, 68, 2039, 13, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 388, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 3186, 12779, 20265, 89, 491, 1112, 34, 1975, 14, 204, 204, 268, 314, 1198, 1978, 943, 204, 268, 456, 499, 24830, 2069, 4161, 395, 17263, 21300, 1185, 677, 537, 1860, 2212, 204, 268, 456, 13, 75, 7, 262, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 20611, 204, 268, 456, 13, 75, 7, 262, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 534, 2277, 83, 431, 204, 204, 268, 314, 2466, 523, 395, 17263, 21300, 1185, 1354, 204, 268, 1354, 289, 322, 204, 305, 283, 7, 271, 395, 17263, 836, 707, 338, 82, 571, 5187, 26188, 72, 6934, 20, 17328, 17084, 68, 553, 20, 21377, 40, 68, 48780, 19, 20015, 388, 204, 305, 283, 1954, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 83, 2527, 1503, 19, 3039, 30188, 388, 204, 305, 283, 1954, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 21300, 1185, 19, 13041, 19, 3039, 30188, 388, 204, 305, 283, 7, 6422, 20, 17328, 17084, 68, 553, 20, 11819, 68, 24229, 88, 19, 20015, 338, 84, 463, 865, 19, 546, 19, 1541, 13, 1420, 68, 3810, 17, 379, 271, 395, 17263, 836, 707, 68, 2826, 19, 20015, 43394, 204, 268, 1179, 204, 268, 1127, 19, 4038, 13, 2196, 14, 204, 204, 264, 436, 1900, 68, 416, 68, 1777, 68, 271, 395, 17263, 21300, 1185, 13, 327, 17, 919, 68, 3810, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2069, 537, 1860, 348, 523, 395, 17263, 21300, 1185, 329, 1523, 275, 1354, 19, 204, 204, 268, 457, 31, 204, 305, 919, 68, 3810, 322, 325, 330, 334, 919, 4622, 832, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2069, 537, 1860, 204, 305, 1950, 13041, 68, 553, 17, 7787, 68, 553, 289, 370, 19, 4776, 68, 271, 395, 17263, 21300, 1185, 68, 768, 68, 2375, 13, 1420, 68, 3810, 14, 204, 204, 305, 314, 2466, 523, 395, 17263, 21300, 1185, 1354, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6057, 36, 204, 204, 673, 10773, 7823, 2089, 353, 437, 6057, 741, 496, 7894, 872, 311, 636, 275, 13598, 700, 302, 10570, 424, 521, 1068, 292, 6057, 19, 1547, 618, 444, 1376, 311, 1967, 275, 10570, 700, 497, 273, 1068, 782, 496, 3192, 10570, 424, 19, 204, 204, 1380, 2026, 311, 3400, 275, 10773, 7823, 12082, 204, 204, 673, 10773, 7823, 2089, 618, 444, 5052, 448, 6353, 31, 204, 204, 69, 34, 11372, 13, 12011, 68, 481, 68, 276, 68, 12011, 68, 492, 9059, 204, 204, 11142, 1758, 12011, 68, 481, 68, 276, 68, 12011, 68, 492, 69, 353, 275, 537, 700, 496, 872, 3480, 311, 1814, 311, 273, 10570, 700, 19, 204, 204, 1380, 23069, 311, 1974, 275, 10773, 7823, 12082, 204, 204, 22, 19, 2838, 437, 1936, 1574, 31950, 34, 33939, 292, 275, 2092, 1273, 872, 3480, 311, 4481, 1214, 10773, 7823, 722, 19, 204, 23, 19, 2838, 1758, 11372, 69, 322, 4453, 444, 292, 12617, 521, 9236, 6072, 14, 329, 437, 1451, 14764, 1574, 31950, 13, 33939, 1877, 275, 1936, 1574, 19, 204, 24, 19, 4429, 275, 10570, 424, 521, 10570, 1068, 496, 872, 3480, 311, 636, 275, 542, 700, 497, 19, 204, 25, 19, 2838, 273, 3671, 14764, 1574, 31950, 9059, 789, 204, 26, 19, 8931, 11612, 19, 204, 204, 1380, 1165, 302, 4496, 275, 10773, 7823, 12082, 204, 204, 3070, 1763, 17, 397, 872, 874, 273, 1068, 782, 496, 3192, 273, 1489, 17, 1702, 448, 388, 3222, 20, 3222, 20, 8409, 528, 872, 618, 732, 275, 10773, 7823, 2089, 311, 1967, 275, 10570, 700, 302, 275, 1489, 19, 334, 2089, 1784, 444, 31, 204, 204, 69, 34, 11372, 499, 3222, 20, 3222, 20, 8409, 431, 69, 204, 204, 1834, 1784, 407, 275, 10570, 700, 302, 275, 1489, 17, 928, 353, 275, 2806, 542, 302, 275, 1489, 292, 6057, 19, 204, 204, 1380, 22165, 204, 204, 15, 334, 10773, 7823, 2089, 618, 444, 1376, 311, 1814, 1489, 329, 690, 424, 311, 1017, 2806, 886, 292, 6057, 19, 204, 15, 334, 2806, 542, 353, 275, 10570, 700, 496, 6057, 5018, 311, 1173, 7163, 329, 2666, 19, 204, 15, 334, 10773, 7823, 2089, 618, 1425, 444, 1376, 311, 1814, 1068, 3157, 496, 918, 10570, 424, 17, 1702, 448, 8037, 8822, 521, 16772, 17, 311, 1017, 13598, 10570, 1019, 19, 0, 50, 30218, 13891, 529, 4037, 3556, 448, 275, 2347, 25804, 302, 275, 2092, 1101, 292, 3718, 1250, 529, 3171, 1182, 9764, 1194, 496, 19, 852, 997, 557, 311, 275, 3299, 752, 292, 33080, 302, 4672, 7746, 9901, 17, 32797, 13891, 529, 3303, 3556, 311, 444, 32183, 8175, 17, 2665, 9793, 17, 283, 6298, 329, 8631, 5575, 311, 275, 43534, 302, 3263, 1250, 2811, 292, 275, 2092, 19, 4253, 3303, 17, 292, 273, 3220, 311, 444, 6193, 292, 275, 10315, 16476, 13186, 25743, 17, 8849, 292, 18461, 329, 42613, 2248, 496, 32797, 13891, 618, 1425, 444, 11897, 348, 275, 14807, 302, 4207, 1882, 7443, 19, 204, 49, 352, 1257, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 329, 15677, 1389, 46970, 3084, 84, 1193, 496, 1330, 16415, 529, 34708, 17, 32797, 13891, 1622, 48630, 1001, 329, 33031, 4141, 273, 20343, 1499, 2364, 496, 353, 3171, 1182, 6184, 15247, 2796, 11439, 4207, 311, 3524, 7497, 2219, 523, 3060, 5680, 16415, 19, 204, 673, 13209, 302, 808, 1622, 45833, 12622, 14285, 1001, 353, 8578, 3287, 1330, 572, 2506, 275, 29621, 542, 302, 9745, 3610, 440, 3490, 292, 32797, 13891, 448, 501, 38132, 2317, 275, 3220, 884, 88, 1043, 2799, 14450, 2317, 388, 1947, 13209, 302, 808, 717, 6137, 618, 1340, 451, 292, 273, 3196, 302, 832, 30432, 560, 6154, 717, 10114, 311, 3326, 275, 14807, 302, 275, 4207, 3855, 311, 4516, 1475, 311, 8527, 11379, 3498, 448, 490, 3459, 292, 13454, 285, 41682, 9745, 2090, 25143, 17, 521, 311, 3506, 1017, 794, 29886, 14807, 2090, 5298, 292, 6427, 3582, 204, 50, 30218, 13891, 529, 29621, 3389, 404, 793, 322, 13130, 1491, 25888, 9901, 789, 23174, 78, 18, 2236, 26787, 17, 1250, 874, 1017, 3346, 8998, 448, 2590, 448, 275, 30722, 311, 6626, 16065, 17, 329, 529, 12551, 311, 874, 1742, 5602, 6403, 18052, 496, 17, 6253, 12432, 336, 560, 5261, 17, 11959, 8287, 38695, 322, 1520, 1910, 302, 1017, 16065, 529, 7758, 560, 275, 1622, 4056, 1001, 26735, 8998, 789, 592, 4998, 311, 1017, 896, 4263, 292, 275, 5627, 302, 2796, 348, 830, 3307, 3263, 17, 32797, 13891, 529, 1425, 3287, 292, 5741, 17, 521, 17, 1182, 12361, 17, 292, 28100, 386, 7593, 17, 273, 1187, 302, 2092, 1622, 2919, 16324, 1001, 11897, 348, 275, 2484, 884, 88, 2519, 4383, 338, 448, 490, 8290, 14119, 302, 4207, 496, 529, 3299, 329, 19593, 18, 329, 1163, 10436, 338, 560, 30733, 13977, 521, 6427, 1399, 4207, 19, 204, 7990, 3389, 404, 793, 1425, 874, 437, 2220, 8175, 6137, 2317, 20816, 5751, 17, 8631, 329, 283, 6298, 2317, 928, 6876, 1475, 273, 8372, 302, 3263, 2614, 275, 2092, 19, 204, 3070, 1763, 3403, 978, 9372, 11898, 302, 42956, 32797, 13891, 4636, 4430, 17, 7510, 2090, 6132, 35912, 17, 529, 11897, 348, 26225, 1101, 1425, 311, 17306, 19593, 32797, 13891, 19, 472, 6145, 322, 17529, 659, 523, 275, 904, 1922, 17, 353, 3287, 311, 838, 717, 32797, 13891, 1882, 2092, 4854, 1101, 1425, 311, 10010, 4207, 19, 1547, 353, 808, 8175, 3188, 1283, 26401, 329, 283, 6145, 496, 6876, 32797, 13891, 311, 12965, 311, 275, 47679, 20117, 302, 275, 2092, 1101, 1425, 311, 437, 7921, 18, 30362, 1964, 329, 490, 353, 1425, 292, 808, 3188, 322, 276, 8608, 302, 490, 14, 496, 8849, 8732, 49070, 1910, 302, 275, 6306, 311, 32797, 13891, 18, 10653, 9745, 19, 3846, 9504, 275, 19115, 8944, 1605, 1622, 1827, 18, 12024, 1001, 529, 13405, 4199, 275, 3263, 1250, 2512, 32797, 13891, 311, 2811, 529, 3848, 4935, 497, 2545, 8106, 14733, 19, 204, 10173, 696, 616, 94, 17, 348, 1763, 17, 353, 3161, 25888, 1352, 496, 869, 1742, 4201, 311, 32797, 13891, 19, 15296, 3483, 5268, 1622, 327, 18, 5707, 580, 299, 1001, 322, 696, 616, 1257, 3210, 7801, 580, 14, 6545, 696, 616, 94, 353, 6456, 311, 43511, 3299, 17, 19593, 521, 2842, 8557, 9901, 329, 13473, 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, 448, 2590, 448, 13776, 22804, 2090, 10637, 560, 1622, 12743, 299, 1001, 1475, 6204, 376, 301, 3950, 19, 1547, 618, 1425, 1340, 311, 29653, 440, 7443, 17, 348, 1763, 1330, 16415, 529, 34708, 329, 275, 2092, 353, 8140, 1780, 17, 560, 819, 42057, 299, 1950, 18, 44841, 25888, 4550, 311, 43511, 348, 21924, 19, 204, 7002, 1335, 32797, 13891, 618, 444, 1622, 5707, 24915, 1001, 1882, 6545, 696, 616, 94, 1422, 529, 3149, 657, 496, 1250, 618, 448, 2590, 18715, 292, 275, 1352, 329, 808, 353, 2075, 480, 352, 1257, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 329, 15677, 1389, 46970, 3084, 84, 497, 275, 412, 335, 24326, 395, 18, 29733, 2227, 10249, 329, 275, 20208, 310, 1516, 10249, 302, 36137, 15053, 17, 415, 5802, 10560, 17, 18461, 329, 275, 8540, 348, 25596, 17776, 329, 13186, 25743, 17, 4639, 302, 1212, 449, 4733, 17, 42613, 19200, 292, 275, 3220, 3303, 6193, 19, 204, 4931, 2223, 8352, 20894, 3462, 329, 560, 27291, 1429, 46964, 16065, 440, 32867, 31859, 501, 38132, 329, 18987, 1466, 5096, 311, 3234, 32797, 13891, 1882, 6545, 696, 616, 94, 322, 32789, 560, 8140, 1780, 4207, 292, 275, 17804, 14, 311, 3020, 1475, 13405, 42622, 756, 283, 6298, 311, 798, 2482, 978, 9372, 11898, 19, 33947, 5795, 275, 1729, 867, 1425, 5298, 292, 19617, 8140, 1462, 348, 1598, 3658, 26968, 496, 808, 867, 273, 2318, 19012, 19, 2416, 12146, 275, 741, 302, 1605, 46964, 11898, 501, 38132, 329, 18987, 6911, 560, 17318, 275, 13473, 8033, 292, 1017, 13941, 311, 1675, 2254, 1429, 302, 1475, 329, 17219, 275, 1563, 19, 204, 13239, 1193, 496, 1330, 26401, 867, 19058, 275, 4207, 10564, 3171, 43623, 1683, 8140, 25635, 11263, 496, 32797, 13891, 42622, 344, 867, 17, 35412, 17, 23361, 1475, 19, 204, 26913, 17944, 11724, 496, 42622, 756, 32797, 13891, 1466, 6327, 3171, 1182, 6639, 15247, 44702, 2317, 275, 2796, 8037, 302, 275, 2092, 19, 592, 3718, 17, 44702, 353, 7758, 560, 273, 8782, 3250, 44702, 446, 292, 1622, 36035, 1001, 8441, 523, 437, 7599, 14119, 2669, 21862, 302, 275, 32797, 13891, 19, 501, 38132, 17, 46970, 3084, 84, 329, 18987, 1193, 496, 42622, 756, 32797, 13891, 508, 1698, 2080, 6863, 6096, 302, 14119, 1110, 322, 416, 754, 1182, 1622, 36035, 27014, 1101, 1425, 1017, 44702, 446, 1466, 4636, 292, 4125, 4461, 1475, 3171, 1182, 6184, 15247, 44702, 19, 4087, 42622, 756, 32797, 13891, 560, 2545, 3171, 1182, 6184, 974, 275, 4764, 2755, 4675, 4207, 311, 8386, 5741, 560, 8140, 25635, 348, 3171, 6397, 19, 204, 673, 7476, 1425, 2909, 630, 275, 4207, 1466, 32797, 13891, 1466, 292, 46915, 302, 283, 6298, 329, 311, 1017, 24429, 1605, 32797, 13891, 13, 496, 8608, 275, 5960, 311, 798, 5256, 717, 44702, 14, 1012, 311, 1622, 72, 1311, 1156, 281, 594, 1001, 275, 2796, 302, 275, 4207, 329, 17782, 10010, 1475, 19, 204, 7990, 1563, 2248, 1662, 32797, 13891, 8175, 2665, 329, 4147, 353, 11897, 311, 2075, 6965, 437, 7921, 18, 40089, 542, 302, 896, 11793, 560, 32797, 13891, 292, 275, 2092, 19, 204, 673, 17973, 302, 501, 38132, 329, 46970, 3084, 84, 884, 88, 12074, 529, 1910, 19, 3433, 881, 311, 275, 2861, 29161, 458, 302, 46964, 3263, 292, 275, 2092, 32, 497, 15247, 2796, 329, 292, 7438, 2092, 27284, 322, 21077, 386, 7593, 659, 572, 3303, 2379, 496, 32797, 13891, 618, 1340, 2092, 14807, 292, 4042, 302, 7443, 329, 529, 1085, 302, 6545, 696, 616, 94, 19, 12859, 696, 616, 94, 329, 28100, 386, 7593, 529, 11897, 6332, 311, 6618, 25888, 2941, 1081, 13450, 17, 448, 2590, 448, 311, 22860, 275, 2484, 4238, 22804, 448, 24157, 448, 9490, 329, 6427, 19, 502, 30218, 13891, 1977, 311, 1855, 302, 1475, 618, 1012, 23061, 275, 4372, 1508, 17050, 542, 302, 9745, 3610, 311, 21901, 14213, 32797, 13891, 497, 25143, 884, 88, 329, 34954, 884, 88, 311, 6427, 521, 2219, 2202, 13735, 832, 30432, 1702, 448, 11765, 329, 16078, 19, 592, 3718, 17, 25198, 292, 32797, 13891, 741, 529, 3303, 4201, 311, 1048, 1607, 9745, 329, 275, 458, 12946, 311, 3437, 19, 204, 2551, 311, 3126, 4037, 32797, 13891, 448, 2590, 448, 275, 11793, 329, 19115, 302, 26401, 329, 283, 6145, 338, 2090, 501, 38132, 329, 18987, 884, 3220, 3756, 338, 618, 17782, 2512, 8849, 329, 9375, 12501, 311, 23912, 1605, 1352, 39438, 32797, 13891, 311, 6024, 3651, 2667, 292, 273, 43534, 302, 9745, 19, 204, 990, 1834, 353, 2075, 353, 754, 25444, 1465, 9728, 3793, 17, 928, 353, 754, 1910, 2666, 13277, 5329, 448, 273, 10590, 302, 5132, 338, 5366, 501, 38132, 338, 2404, 292, 3718, 572, 529, 15816, 19115, 754, 9728, 348, 3307, 496, 29391, 45510, 1451, 717, 29316, 348, 2667, 329, 4614, 19, 204, 2310, 2842, 1519, 311, 5190, 1475, 690, 2152, 1001, 204, 40, 6279, 31, 480, 352, 1257, 346, 19, 501, 38132, 17, 30276, 335, 13236, 530, 3311, 565, 3642, 14779, 633, 11, 42164, 1389, 46970, 3084, 84, 17, 388, 16901, 6545, 696, 616, 94, 32797, 13891, 42622, 316, 17, 529, 297, 8292, 497, 30571, 329, 9708, 2092, 6139, 3423, 528, 16476, 13186, 25743, 17, 9923, 931, 17, 9635, 17, 17393, 31, 1003, 19, 1003, 5049, 20, 13388, 71, 2898, 1036, 204, 18, 22095, 62, 1815, 21425, 387, 7691, 33444, 204, 18, 471, 1801, 2504, 387, 7691, 33444, 204, 18, 480, 9377, 42, 387, 7691, 33444, 204, 18, 16563, 27527, 387, 7691, 33444, 204, 23325, 2115, 311, 275, 32049, 204, 15940, 94, 292, 11108, 440, 275, 8615, 2688, 6, 204, 41328, 8134, 4253, 595, 608, 2416, 3400, 36, 204, 18, 16898, 313, 965, 347, 6565, 4982, 334, 20255, 3300, 270, 12320, 3682, 204, 18, 40410, 15053, 31, 2767, 9870, 5608, 628, 466, 3242, 26705, 650, 48977, 24813, 204, 18, 5672, 18942, 10107, 502, 11182, 953, 2527, 338, 17561, 3421, 16956, 3659, 338, 22263, 24674, 10107, 12121, 5424, 17790, 293, 17561, 204, 18, 392, 3341, 70, 4253, 30962, 2416, 4908, 11270, 28045, 28881, 10433, 27913, 319, 27524, 1224, 19, 204, 18, 41377, 15328, 20522, 6513, 2416, 334, 548, 19, 56, 19, 10143, 5293, 4596, 13884, 1613, 36, 204, 18, 22753, 18, 21885, 26237, 16089, 27673, 1765, 25723, 5424, 346, 1239, 30777, 415, 48470, 471, 402, 3198, 204, 18, 0 ]

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

[ 0, 387, 25395, 41797, 24884, 10107, 7609, 7356, 4453, 323, 24467, 592, 1358, 35725, 204, 18, 388, 5009, 529, 17508, 1043, 4659, 2075, 572, 874, 1742, 719, 4238, 19, 382, 2842, 3480, 311, 4627, 311, 1429, 302, 1605, 1880, 32883, 204, 18, 388, 29991, 20921, 8604, 7, 204, 18, 388, 26652, 382, 4006, 2964, 2379, 2075, 275, 5665, 521, 275, 5127, 348, 490, 353, 17, 1101, 1330, 382, 3756, 275, 12214, 18719, 32883, 204, 18, 388, 4947, 1422, 1169, 9151, 808, 1784, 1225, 523, 10554, 39653, 36, 3433, 1741, 508, 13832, 7918, 46839, 13859, 32883, 204, 18, 388, 1834, 353, 6300, 560, 275, 2631, 3220, 17, 928, 5398, 10471, 2669, 275, 2717, 302, 8879, 1330, 331, 6900, 32883, 204, 36025, 4596, 8135, 375, 8278, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 315, 6643, 324, 612, 36206, 7308, 31, 332, 4847, 1545, 348, 17322, 440, 20999, 612, 36206, 5194, 1279, 204, 204, 647, 8685, 204, 647, 1361, 204, 647, 1127, 204, 647, 2454, 204, 531, 1498, 532, 1535, 17, 1884, 204, 204, 531, 5838, 8036, 532, 1893, 204, 531, 5838, 8036, 19, 6240, 532, 415, 3439, 18963, 596, 17, 7242, 596, 17, 4864, 1016, 8036, 596, 204, 204, 8, 1385, 13515, 1483, 497, 1964, 2558, 204, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 31, 394, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 431, 204, 1815, 3738, 4663, 4688, 11604, 68, 12986, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 12986, 431, 204, 1815, 3738, 4663, 4688, 11604, 68, 9778, 31, 1535, 64, 325, 66, 289, 1127, 19, 4969, 19, 505, 499, 1815, 3738, 4663, 4688, 11604, 68, 9778, 431, 204, 204, 461, 1137, 68, 5719, 68, 5592, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1385, 13515, 1483, 497, 1964, 2558, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1945, 1964, 2558, 529, 508, 758, 19, 204, 264, 320, 204, 264, 1945, 68, 5592, 289, 3134, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 1339, 204, 264, 348, 1554, 292, 1945, 68, 5592, 31, 204, 268, 397, 508, 1127, 19, 4969, 19, 505, 13, 3334, 330, 204, 305, 980, 987, 13, 75, 7, 11690, 1554, 463, 3334, 98, 353, 508, 758, 1280, 204, 204, 6419, 436, 636, 68, 816, 68, 7272, 374, 393, 1884, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 763, 275, 575, 677, 20999, 612, 36206, 1692, 1995, 329, 1482, 19, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 325, 17, 394, 744, 332, 927, 1174, 275, 575, 677, 1692, 329, 1482, 19, 204, 264, 320, 204, 264, 314, 778, 397, 4997, 529, 2861, 758, 448, 1964, 2558, 204, 264, 397, 16766, 3738, 4663, 4688, 11604, 68, 12986, 329, 16766, 3738, 4663, 4688, 11604, 68, 9778, 31, 204, 268, 407, 16766, 3738, 4663, 4688, 11604, 68, 12986, 17, 16766, 3738, 4663, 4688, 11604, 68, 9778, 204, 204, 264, 314, 13485, 275, 575, 348, 4997, 204, 264, 1692, 289, 537, 499, 3728, 353, 1214, 20999, 612, 36206, 1692, 1995, 36, 2810, 204, 264, 1482, 289, 537, 499, 3728, 353, 1214, 20999, 612, 36206, 1692, 1482, 36, 2810, 204, 264, 407, 1692, 17, 1482, 204, 204, 6419, 436, 2924, 68, 633, 68, 3847, 1016, 23338, 2970, 13, 2302, 31, 394, 17, 1482, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8196, 311, 20999, 612, 36206, 974, 275, 1917, 4997, 19, 204, 204, 264, 457, 31, 204, 268, 1692, 322, 325, 330, 334, 575, 677, 20999, 612, 36206, 1692, 1995, 19, 204, 268, 1482, 322, 325, 330, 334, 575, 677, 20999, 612, 36206, 1482, 19, 204, 204, 264, 1632, 31, 204, 268, 25858, 31, 828, 437, 908, 3459, 1882, 2924, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 2924, 311, 20999, 612, 36206, 204, 268, 4177, 1893, 19, 3424, 68, 19019, 68, 7272, 13, 2302, 17, 1482, 17, 1545, 68, 359, 34, 1815, 3738, 4663, 4688, 11604, 68, 17887, 68, 1701, 14, 204, 264, 827, 415, 3439, 18963, 596, 448, 9981, 31, 204, 268, 456, 13, 325, 13, 5823, 602, 204, 268, 2454, 19, 4555, 13, 21, 14, 204, 264, 827, 7242, 596, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2862, 908, 31, 463, 5823, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 264, 827, 1319, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 5823, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 6419, 436, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 20999, 612, 36206, 1545, 19, 204, 204, 264, 1058, 741, 13401, 1964, 2558, 17, 8290, 575, 4997, 17, 329, 8874, 292, 311, 20999, 612, 36206, 19, 204, 264, 320, 204, 264, 314, 1385, 1964, 2558, 204, 264, 1137, 68, 5719, 68, 5592, 374, 204, 204, 264, 314, 6153, 1361, 204, 264, 1361, 19, 6065, 13, 2201, 34, 3247, 19, 9281, 14, 204, 204, 264, 314, 763, 575, 4997, 204, 264, 1692, 17, 1482, 289, 4177, 636, 68, 816, 68, 7272, 374, 204, 204, 264, 314, 8196, 311, 20999, 612, 36206, 204, 264, 4177, 2924, 68, 633, 68, 3847, 1016, 23338, 2970, 13, 2302, 17, 1482, 14, 204, 204, 264, 314, 1165, 1265, 31, 763, 273, 458, 302, 830, 15126, 292, 275, 1561, 204, 264, 810, 31, 204, 268, 314, 763, 275, 790, 1561, 204, 268, 1561, 289, 1893, 19, 25255, 8083, 21, 66, 204, 204, 268, 314, 763, 273, 458, 302, 830, 15126, 292, 275, 1561, 204, 268, 15126, 289, 1561, 19, 21795, 204, 204, 268, 314, 1198, 275, 458, 302, 15126, 204, 268, 456, 499, 17579, 88, 2212, 204, 268, 348, 5722, 292, 15126, 31, 204, 305, 456, 13, 75, 24588, 463, 9123, 19, 417, 98, 8267, 9123, 19, 932, 16048, 204, 264, 827, 1319, 448, 9981, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 5823, 743, 204, 204, 18136, 19, 1777, 13, 660, 1447, 204, 0, 3728, 353, 1199, 2847, 302, 7219, 36, 204, 204, 1449, 1020, 1199, 2847, 0 ]

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

[ 0, 302, 7219, 17, 572, 618, 732, 275, 2631, 3214, 31, 204, 204, 20155, 368, 31, 2208, 275, 5050, 311, 273, 4048, 560, 8631, 560, 1607, 19, 204, 62, 289, 1199, 20, 2051, 204, 204, 20155, 435, 31, 8838, 275, 4048, 560, 275, 542, 19, 204, 62, 289, 1199, 20, 2051, 2771, 7219, 204, 204, 20155, 571, 31, 8730, 275, 4183, 19, 204, 62, 289, 1199, 7410, 1607, 2771, 7219, 204, 62, 289, 500, 19, 1036, 2771, 7219, 204, 62, 289, 3528, 204, 204, 4356, 17, 1199, 2847, 302, 7219, 353, 3528, 19, 204, 204, 11892, 17, 572, 618, 732, 275, 2089, 31, 204, 1036, 10, 302, 7219, 289, 322, 1036, 20, 2051, 14, 2771, 7219, 204, 34, 500, 19, 1036, 2771, 7219, 204, 34, 3528, 204, 204, 2310, 618, 1425, 732, 273, 6506, 311, 1020, 275, 2073, 560, 18120, 1199, 7410, 1607, 2771, 7219, 17, 928, 9329, 3528, 19, 204, 204, 5063, 3490, 31, 204, 204, 15, 828, 1199, 2847, 302, 275, 45419, 292, 273, 2223, 3859, 1307, 523, 273, 9737, 5879, 329, 1422, 529, 7219, 45419, 17, 1662, 1910, 45419, 1307, 523, 275, 5879, 36, 204, 4706, 31, 3528, 45419, 1307, 523, 275, 5879, 19, 204, 15, 828, 1199, 2847, 302, 275, 2804, 292, 38047, 2090, 14083, 275, 2672, 329, 1422, 529, 7219, 2804, 292, 38047, 17, 1662, 1910, 2804, 2090, 14083, 36, 204, 4706, 31, 3528, 2804, 2090, 14083, 275, 2672, 19, 0, 18263, 25643, 677, 8469, 21175, 204, 97, 18263, 25643, 677, 8469, 21175, 97, 204, 18263, 25643, 677, 8469, 21175, 322, 14426, 7755, 32172, 45108, 31605, 402, 14, 437, 33678, 4785, 302, 41929, 6784, 329, 1064, 316, 301, 17, 867, 36081, 437, 20518, 608, 302, 275, 10828, 2604, 302, 275, 565, 5669, 15955, 19, 2550, 7404, 292, 3139, 7879, 1882, 275, 9956, 276, 657, 302, 275, 15411, 628, 26131, 565, 5669, 17, 10866, 25643, 677, 8469, 21175, 869, 275, 36473, 1750, 23662, 302, 2545, 15291, 336, 685, 302, 12278, 2202, 1194, 23460, 2181, 5287, 17, 275, 29542, 27621, 302, 273, 3403, 6555, 630, 275, 8650, 302, 1064, 19, 204, 32790, 275, 20688, 292, 565, 5669, 677, 9737, 867, 273, 7089, 4193, 337, 17, 19657, 15192, 39695, 10866, 25643, 17, 329, 490, 353, 497, 1704, 3139, 9320, 1225, 1998, 20061, 78, 360, 6856, 266, 360, 496, 572, 874, 275, 1698, 1747, 302, 275, 8469, 21175, 329, 1163, 18814, 497, 3307, 19, 1547, 867, 273, 3403, 6555, 17, 5387, 5789, 5301, 2482, 329, 34157, 719, 311, 681, 17128, 19, 1547, 867, 3060, 9373, 17, 7510, 5218, 17, 292, 1848, 17, 329, 10866, 25643, 8699, 275, 16272, 18, 427, 1162, 306, 13820, 1153, 7498, 448, 388, 9859, 2090, 275, 26191, 302, 437, 10033, 35573, 1194, 34143, 275, 7498, 302, 437, 10033, 6555, 2152, 8683, 17, 34998, 94, 17, 306, 13820, 1153, 17, 13537, 17, 5027, 17, 329, 26921, 5167, 24359, 9811, 7870, 440, 2075, 566, 3250, 273, 388, 15379, 4581, 1548, 3343, 19366, 11622, 867, 9122, 311, 9205, 308, 4817, 793, 928, 42509, 275, 11484, 329, 5406, 48018, 523, 275, 22526, 1424, 14898, 19, 334, 9621, 1466, 2637, 329, 3756, 508, 874, 22922, 5292, 404, 1915, 32, 6216, 17, 10866, 25643, 13439, 17, 1250, 1466, 9811, 440, 273, 388, 9279, 11671, 2993, 1399, 49025, 7, 2090, 275, 8469, 32608, 476, 17, 928, 3756, 275, 741, 302, 273, 300, 762, 1070, 21862, 19, 334, 24824, 1466, 2637, 17336, 292, 275, 2902, 302, 275, 1526, 19, 334, 10239, 867, 32915, 18, 4995, 17, 22177, 275, 1064, 316, 74, 440, 1163, 16522, 10239, 204, 10492, 10118, 32759, 302, 3658, 10811, 523, 28654, 302, 8469, 29196, 17, 36279, 6216, 2090, 22495, 348, 3658, 19, 3433, 11899, 336, 10469, 329, 4457, 43632, 1273, 1250, 13069, 292, 2830, 3436, 17, 13492, 275, 2074, 1405, 292, 275, 3466, 448, 10436, 497, 15469, 1017, 1698, 4193, 8821, 17, 39738, 31189, 19, 204, 18263, 25643, 13058, 496, 566, 867, 5096, 311, 636, 4789, 275, 7160, 5256, 311, 388, 31644, 1017, 35283, 440, 2745, 1922, 2152, 25410, 1466, 3060, 40905, 638, 1750, 329, 7904, 292, 620, 22327, 17, 329, 2404, 1250, 529, 754, 23948, 1250, 3550, 1017, 11879, 4501, 1683, 2263, 17, 2900, 8152, 311, 3307, 329, 8820, 19, 18911, 273, 1064, 292, 273, 13913, 17, 521, 23926, 39505, 17, 618, 2284, 4751, 1475, 2900, 10545, 329, 2694, 630, 22575, 275, 1051, 302, 275, 37899, 566, 36874, 311, 16606, 3343, 592, 24579, 497, 273, 13913, 1250, 41418, 9453, 1877, 275, 10299, 338, 275, 6695, 1466, 4440, 45485, 338, 329, 275, 377, 321, 823, 299, 2927, 560, 273, 6554, 538, 15815, 8469, 21175, 8077, 275, 3022, 302, 275, 37899, 311, 810, 311, 2111, 16987, 19, 334, 14443, 867, 8316, 311, 444, 2090, 31239, 292, 18307, 1877, 19654, 19, 204, 8395, 10866, 25643, 2080, 2927, 1704, 9337, 311, 275, 11603, 302, 1200, 19, 44184, 13135, 292, 16765, 17, 22021, 40364, 329, 9956, 31636, 41418, 14418, 292, 1910, 302, 275, 18165, 302, 275, 565, 5669, 15955, 311, 5495, 8469, 21175, 14443, 448, 29253, 19, 334, 6555, 17, 5602, 16689, 1048, 275, 565, 5669, 8469, 1864, 329, 275, 45497, 8076, 6473, 39351, 17, 2080, 1163, 886, 30222, 32550, 336, 3913, 311, 24579, 560, 11525, 22554, 32, 490, 867, 273, 10690, 6555, 1330, 10866, 25643, 1043, 8699, 490, 19, 43247, 18, 32590, 2181, 1877, 1163, 13209, 275, 1673, 6399, 1466, 4768, 292, 275, 8476, 270, 24467, 19, 0, 676, 13223, 422, 40, 4169, 3554, 31, 204, 264, 436, 1040, 68, 3641, 68, 633, 68, 43369, 13, 327, 17, 771, 68, 30300, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 475, 275, 542, 302, 7656, 3942, 311, 20968, 273, 32126, 440, 275, 800, 542, 302, 25048, 17, 204, 268, 1273, 872, 618, 4260, 20968, 368, 521, 435, 3214, 630, 273, 690, 19, 204, 204, 268, 457, 31, 204, 305, 771, 68, 30300, 322, 339, 330, 334, 542, 302, 25048, 311, 20968, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 7656, 3942, 311, 20968, 275, 25048, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 275, 542, 302, 25048, 353, 2917, 19, 204, 268, 320, 204, 268, 397, 771, 68, 30300, 962, 500, 31, 204, 305, 980, 987, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4290, 302, 25048, 1631, 444, 273, 1950, 18, 4721, 1534, 431, 204, 204, 268, 314, 3301, 2910, 31, 1422, 677, 1698, 1051, 2501, 311, 20968, 500, 521, 368, 25048, 204, 268, 397, 771, 68, 30300, 2186, 368, 31, 204, 305, 407, 368, 204, 204, 268, 314, 666, 273, 21233, 1435, 311, 1640, 275, 542, 302, 3942, 311, 20968, 296, 25048, 204, 268, 8831, 289, 463, 21, 31, 368, 17, 368, 31, 368, 98, 204, 204, 268, 314, 1974, 8175, 7786, 311, 5233, 292, 275, 21233, 1435, 204, 268, 348, 296, 292, 933, 13, 23, 17, 771, 68, 30300, 465, 368, 330, 204, 305, 314, 334, 542, 302, 3942, 311, 20968, 296, 25048, 353, 275, 1066, 302, 275, 542, 302, 3942, 311, 20968, 296, 18, 22, 329, 296, 18, 23, 25048, 204, 305, 8831, 64, 78, 66, 289, 8831, 64, 78, 338, 368, 66, 465, 8831, 64, 78, 338, 435, 66, 204, 204, 268, 407, 8831, 64, 920, 68, 30300, 66, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 20619, 68, 24442, 3554, 289, 13223, 422, 40, 4169, 3554, 374, 204, 264, 771, 68, 30300, 289, 681, 204, 264, 3942, 68, 633, 68, 43369, 289, 20619, 68, 24442, 3554, 19, 765, 68, 3641, 68, 633, 68, 43369, 13, 920, 68, 30300, 14, 204, 264, 456, 13, 75, 7, 2841, 529, 463, 3641, 68, 633, 68, 43369, 98, 7656, 3942, 311, 20968, 463, 920, 68, 30300, 98, 25048, 1280, 204, 0, 531, 1498, 532, 783, 17, 1884, 204, 531, 5920, 532, 8909, 204, 204, 461, 838, 68, 286, 30232, 13, 20818, 31, 783, 64, 2983, 64, 325, 17, 394, 4097, 393, 783, 64, 2983, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 9264, 273, 458, 302, 14278, 17, 1020, 275, 37959, 292, 1552, 19, 204, 204, 264, 334, 741, 18479, 496, 275, 537, 14278, 798, 273, 1097, 37959, 17, 296, 19, 74, 2458, 716, 264, 1422, 353, 273, 2220, 832, 496, 18697, 848, 9088, 6488, 5602, 19, 204, 204, 264, 457, 31, 204, 264, 14278, 31, 332, 458, 302, 5760, 17, 1273, 848, 927, 4504, 273, 9088, 440, 273, 2139, 329, 4297, 19, 204, 204, 264, 475, 31, 204, 264, 332, 458, 302, 5760, 17, 2457, 275, 37959, 292, 1552, 19, 204, 264, 320, 204, 264, 314, 666, 273, 955, 311, 1640, 275, 26310, 348, 848, 2139, 204, 264, 4297, 68, 1608, 289, 8909, 13, 655, 14, 204, 264, 348, 2139, 17, 4297, 292, 14278, 31, 204, 268, 4297, 68, 1608, 64, 3112, 1664, 1223, 13, 8480, 14, 204, 204, 264, 314, 4641, 275, 26310, 348, 848, 2139, 292, 4036, 1552, 204, 264, 348, 2139, 292, 4297, 68, 1608, 31, 204, 268, 4297, 68, 1608, 64, 3112, 1664, 2975, 13, 8553, 34, 1021, 14, 204, 204, 264, 314, 1752, 275, 4145, 917, 322, 1947, 2139, 496, 353, 508, 273, 4297, 14, 204, 264, 1012, 289, 443, 204, 264, 26310, 289, 758, 13, 4418, 348, 2984, 88, 292, 4297, 68, 1608, 19, 1309, 374, 348, 2984, 292, 2984, 88, 14, 204, 264, 348, 2139, 292, 4297, 68, 1608, 31, 204, 268, 397, 2139, 508, 292, 26310, 31, 204, 305, 1012, 289, 2139, 204, 305, 2280, 204, 204, 264, 314, 828, 1236, 4145, 917, 353, 1193, 17, 1020, 275, 2139, 440, 275, 1901, 26310, 204, 264, 397, 1012, 353, 443, 31, 204, 268, 1012, 289, 846, 13, 8480, 68, 1608, 17, 896, 34, 3605, 610, 31, 1245, 13, 8480, 68, 1608, 64, 93, 4513, 204, 204, 264, 314, 4908, 275, 37959, 204, 264, 37959, 289, 1306, 204, 264, 790, 68, 3112, 289, 1012, 204, 264, 1335, 959, 31, 204, 268, 314, 828, 275, 790, 2139, 869, 1236, 26310, 17, 2280, 275, 3546, 204, 268, 397, 790, 68, 3112, 508, 292, 4297, 68, 1608, 521, 508, 4297, 68, 1608, 64, 1976, 68, 3112, 744, 204, 305, 2280, 204, 204, 268, 314, 763, 275, 1682, 4297, 329, 3142, 490, 497, 275, 458, 204, 268, 4297, 289, 4297, 68, 1608, 64, 1976, 68, 3112, 1664, 3377, 374, 204, 268, 37959, 19, 1223, 1802, 1976, 68, 3112, 17, 4297, 602, 204, 268, 790, 68, 3112, 289, 4297, 204, 204, 264, 407, 37959, 204, 204, 461, 667, 1293, 204, 264, 14278, 289, 28175, 20798, 2606, 1678, 528, 388, 39, 651, 13633, 3186, 4401, 39, 9724, 533, 528, 388, 29996, 8878, 3186, 4401, 9686, 70, 528, 388, 20798, 2606, 1678, 3186, 4401, 29996, 8878, 528, 388, 9686, 70, 14094, 204, 264, 456, 13, 1510, 68, 286, 30232, 13, 20818, 602, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 13, 39, 17, 392, 14, 27386, 204, 204, 38, 322, 39, 17, 392, 14, 3868, 353, 273, 6542, 3773, 1376, 311, 3220, 4119, 302, 28505, 1187, 19, 1547, 353, 273, 3868, 302, 38087, 565, 329, 392, 302, 273, 1627, 501, 496, 10579, 4153, 31138, 19, 204, 204, 1380, 13770, 204, 204, 38, 322, 39, 17, 392, 14, 3868, 353, 4310, 448, 273, 3868, 302, 38087, 565, 329, 392, 302, 273, 1627, 501, 1702, 496, 31, 204, 204, 22, 19, 501, 353, 4489, 560, 565, 329, 392, 19, 204, 23, 19, 334, 6907, 302, 565, 329, 392, 17, 13772, 560, 313, 17, 353, 273, 2519, 23851, 302, 392, 19, 204, 24, 19, 334, 1627, 595, 289, 392, 20, 57, 353, 4489, 560, 273, 758, 387, 302, 1842, 302, 1552, 435, 17, 1702, 496, 31, 204, 203, 15, 828, 297, 353, 437, 1103, 302, 387, 329, 306, 353, 437, 1103, 302, 595, 17, 1675, 297, 39, 92, 353, 13782, 292, 275, 8651, 302, 565, 8057, 39, 329, 565, 92, 39, 19, 204, 203, 15, 4222, 1103, 302, 387, 2519, 1440, 565, 19, 204, 204, 1380, 12636, 204, 204, 22, 19, 930, 39, 1771, 1539, 1998, 18571, 1416, 334, 1627, 501, 618, 444, 11046, 9523, 1025, 6246, 401, 3604, 565, 65, 44, 20, 39, 17, 928, 529, 6717, 560, 273, 758, 302, 17033, 88, 302, 595, 311, 392, 19, 204, 23, 19, 930, 2595, 48037, 3685, 6621, 1416, 12320, 13886, 8237, 23851, 9329, 1163, 38666, 292, 501, 19, 12320, 2599, 13886, 8237, 23851, 353, 302, 275, 0 ]

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

[ 0, 798, 565, 60, 13, 61, 14, 39, 348, 1429, 7370, 1504, 302, 387, 19, 204, 24, 19, 930, 57, 1005, 677, 20999, 10679, 9048, 1416, 565, 51, 18, 6346, 618, 444, 1376, 311, 7647, 496, 1910, 4119, 302, 28505, 1187, 529, 3277, 10814, 1017, 11366, 19, 204, 204, 1380, 9134, 204, 204, 22, 19, 930, 19049, 7802, 6885, 1416, 334, 4303, 3542, 1627, 36475, 83, 13, 48, 14, 1048, 273, 1242, 1144, 869, 273, 565, 51, 18, 5947, 17, 1273, 565, 353, 275, 3482, 14234, 7703, 17, 313, 353, 275, 8166, 7703, 17, 329, 392, 353, 275, 42856, 7703, 19, 204, 23, 19, 930, 7183, 30861, 28376, 1416, 2334, 304, 952, 545, 1627, 1048, 273, 1242, 1144, 869, 273, 565, 51, 18, 5947, 17, 1273, 565, 353, 273, 16034, 13886, 8237, 23851, 329, 392, 353, 275, 38666, 302, 273, 3404, 31223, 9795, 354, 13782, 292, 565, 19, 204, 204, 1380, 40568, 204, 204, 15, 6030, 31, 388, 8659, 880, 31, 17472, 329, 18190, 7, 560, 16367, 5443, 3360, 278, 15854, 329, 22141, 2939, 387, 19, 16844, 204, 15, 6030, 31, 388, 49, 705, 28376, 329, 28505, 16124, 88, 31, 1407, 15263, 681, 18, 27, 7, 560, 27588, 23540, 565, 580, 71, 23792, 204, 15, 6030, 31, 388, 46048, 7, 560, 33039, 18, 53, 40777, 3983, 272, 0, 37330, 1415, 24903, 6427, 448, 2804, 618, 304, 784, 275, 1729, 2667, 8753, 560, 36789, 1017, 19588, 496, 904, 4598, 770, 17, 5575, 311, 273, 717, 5197, 19, 204, 673, 5197, 302, 10405, 6709, 5913, 496, 36789, 677, 2140, 6126, 523, 273, 8453, 677, 2667, 1702, 448, 5992, 2830, 12790, 6096, 17, 17080, 2830, 18765, 4683, 329, 14090, 2830, 6427, 14007, 1425, 3120, 311, 4598, 1415, 2080, 17693, 6427, 17, 3252, 3220, 20948, 12424, 1144, 342, 18128, 17, 273, 45466, 630, 1200, 19, 871, 1230, 12817, 677, 8385, 20678, 292, 502, 2779, 847, 17, 313, 6352, 19, 204, 673, 8608, 302, 2667, 14007, 302, 36789, 388, 5934, 451, 5506, 32931, 630, 808, 917, 311, 14973, 1475, 311, 12112, 7571, 397, 1250, 7188, 5096, 5167, 1144, 342, 18128, 3252, 302, 6427, 32688, 19, 204, 48, 342, 18128, 329, 1704, 18987, 21445, 10405, 6709, 329, 11857, 311, 7968, 28362, 3490, 497, 17693, 6427, 5519, 17, 329, 311, 3020, 3855, 3153, 6126, 2549, 4767, 275, 7103, 311, 12112, 7571, 5287, 19, 12412, 4249, 867, 6193, 7110, 8338, 19, 1199, 292, 275, 11059, 302, 19413, 10457, 40855, 276, 6265, 19, 204, 22844, 812, 26579, 353, 508, 348, 11243, 204, 2204, 830, 17693, 6427, 32688, 529, 16583, 302, 36789, 17, 8578, 4751, 4598, 1415, 24903, 12112, 6427, 521, 12772, 19, 15867, 1788, 3731, 311, 1017, 12112, 88, 521, 275, 2620, 302, 12772, 523, 1017, 16866, 27891, 557, 33866, 874, 1824, 1429, 302, 1475, 17224, 311, 6626, 10659, 19, 204, 7, 29037, 523, 17, 1605, 4598, 11076, 2964, 2379, 496, 1250, 4230, 444, 630, 4190, 348, 508, 2545, 5096, 311, 33719, 316, 17, 8578, 348, 1017, 1043, 2804, 5167, 48526, 11825, 10571, 5672, 19426, 17872, 29892, 19, 388, 2310, 14006, 940, 24734, 17, 521, 35755, 17, 496, 1250, 33626, 2964, 5096, 311, 12112, 7571, 3343, 204, 5058, 1854, 1519, 311, 444, 9136, 496, 6396, 1415, 24903, 273, 17693, 6427, 1741, 874, 19167, 36789, 17, 3252, 3220, 20948, 40121, 650, 5779, 17, 273, 3793, 30637, 25068, 630, 1200, 19, 871, 1230, 19, 204, 7874, 3078, 32688, 12, 24794, 204, 23367, 5913, 36789, 618, 10574, 4598, 677, 4190, 302, 9218, 12112, 329, 287, 45733, 24758, 17, 1722, 18, 8629, 43561, 18588, 28285, 329, 25842, 41878, 17, 2838, 435, 11765, 329, 5557, 4614, 17, 650, 5779, 3252, 19, 204, 7, 32424, 8753, 311, 7831, 309, 3329, 618, 1425, 4303, 504, 311, 275, 6427, 46249, 3390, 5167, 650, 5779, 10571, 5672, 19426, 17872, 29892, 19, 204, 27629, 2083, 292, 11636, 529, 5992, 275, 542, 302, 17693, 6427, 32688, 17, 2268, 13439, 19, 332, 14259, 2556, 497, 275, 10249, 302, 15053, 3252, 1051, 292, 27123, 6695, 10299, 867, 273, 46249, 302, 17693, 6427, 19, 7054, 3210, 36789, 560, 11435, 6427, 6396, 1120, 3472, 1182, 302, 437, 6248, 292, 275, 5094, 17, 650, 5779, 3252, 19, 204, 52, 5779, 3252, 2268, 11237, 36789, 311, 444, 7634, 448, 273, 7831, 6137, 348, 4598, 17, 2842, 448, 6747, 5321, 732, 17, 7831, 8114, 329, 8294, 529, 19, 204, 7, 2310, 3480, 4303, 33854, 17, 23765, 18, 30763, 46748, 329, 32688, 7105, 311, 5506, 27357, 336, 311, 3074, 1017, 7155, 3511, 329, 444, 9136, 302, 490, 292, 275, 1682, 7341, 302, 3307, 1330, 1250, 7188, 292, 496, 10876, 7438, 7341, 5167, 650, 5779, 3252, 19, 204, 23877, 490, 523, 31, 10892, 812, 26579, 677, 8753, 348, 7831, 4598, 1425, 3120, 311, 4598, 1415, 24903, 17693, 6427, 19, 204, 18, 2958, 12896, 33931, 2680, 45712, 5672, 14106, 204, 18, 931, 14747, 5672, 14106, 7054, 11815, 595, 271, 16990, 21559, 89, 5389, 332, 4386, 204, 18, 3899, 1854, 27233, 340, 27542, 311, 791, 31869, 10892, 812, 26579, 35515, 657, 204, 19670, 5672, 19426, 17872, 29892, 8740, 5871, 332, 3565, 70, 47980, 523, 8471, 1642, 38, 3565, 70, 49, 1571, 291, 19, 0, 647, 1127, 204, 647, 12800, 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, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4578, 302, 275, 510, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 510, 1583, 508, 1337, 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, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 407, 510, 68, 4103, 19, 976, 374, 204, 264, 827, 3180, 31, 204, 268, 314, 5149, 437, 908, 397, 275, 510, 1583, 508, 1337, 204, 268, 980, 987, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 204, 461, 636, 68, 4780, 68, 4591, 374, 393, 1135, 31, 204, 264, 320, 204, 264, 3596, 3146, 3688, 497, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 12519, 15030, 948, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 1174, 3146, 3688, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 832, 311, 275, 589, 12519, 15030, 948, 510, 204, 264, 1465, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 204, 268, 1127, 19, 546, 19, 11106, 13, 865, 19, 546, 19, 7094, 3843, 553, 31720, 388, 494, 349, 775, 528, 891, 12519, 15030, 948, 7, 204, 264, 1179, 204, 264, 1465, 289, 2087, 204, 264, 314, 5635, 275, 589, 12519, 15030, 948, 510, 311, 16836, 275, 1465, 955, 204, 264, 440, 1451, 13, 12519, 68, 553, 68, 546, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 268, 3092, 13, 553, 68, 4103, 19, 976, 2144, 1465, 14, 204, 264, 407, 1465, 204, 204, 461, 3219, 68, 4780, 374, 393, 443, 31, 204, 264, 320, 204, 264, 5313, 719, 275, 3146, 974, 12800, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 15786, 510, 204, 264, 2482, 68, 2749, 289, 1151, 68, 553, 499, 24235, 19, 23473, 431, 204, 264, 314, 763, 3146, 3688, 204, 264, 3146, 68, 4591, 289, 636, 68, 4780, 68, 4591, 374, 204, 204, 264, 314, 968, 3146, 6127, 204, 264, 6348, 68, 11729, 289, 551, 204, 268, 388, 402, 76, 1851, 75, 99, 34, 24, 19, 25, 19, 22, 32, 5207, 68, 2256, 962, 379, 24, 19, 28, 28142, 204, 268, 388, 402, 76, 1851, 75, 99, 34, 24, 19, 26, 19, 23, 32, 5207, 68, 2256, 3721, 379, 24, 19, 28, 28142, 204, 268, 388, 812, 6844, 1495, 21, 19, 30, 19, 4635, 528, 204, 268, 388, 6419, 18, 7738, 99, 34, 25, 19, 21, 19, 23, 528, 204, 268, 388, 4588, 99, 34, 24, 19, 21, 19, 25, 528, 204, 268, 388, 4588, 68, 9349, 99, 34, 24, 19, 24, 19, 22, 528, 204, 268, 388, 35148, 2272, 528, 204, 268, 388, 43011, 99, 34, 3699, 19, 28, 19, 21, 528, 204, 268, 388, 16479, 99, 34, 26, 19, 21, 19, 24, 528, 204, 268, 388, 22656, 99, 34, 24, 19, 23, 19, 1258, 528, 204, 268, 388, 36272, 651, 8590, 7522, 99, 34, 24, 19, 2353, 19, 22, 528, 204, 268, 388, 5835, 18, 2741, 99, 34, 3699, 19, 22, 528, 204, 268, 388, 5835, 18, 2256, 1993, 99, 34, 22, 19, 21, 19, 23, 528, 204, 268, 388, 5835, 18, 746, 3052, 18, 3939, 99, 34, 21, 19, 27, 528, 204, 268, 388, 5835, 18, 12948, 18, 2884, 3721, 25, 19, 21, 70, 22, 17, 564, 25, 9371, 528, 204, 268, 388, 47, 13213, 23, 99, 34, 24, 19, 21, 19, 24, 528, 204, 268, 388, 1775, 6069, 99, 34, 25, 19, 21, 19, 21, 528, 204, 268, 388, 863, 420, 328, 99, 34, 22, 19, 28, 19, 23, 528, 204, 268, 388, 27288, 23, 18, 5457, 99, 34, 23, 19, 30, 19, 24, 528, 204, 268, 388, 5941, 29146, 99, 34, 27, 19, 21, 528, 204, 268, 388, 9349, 99, 34, 25, 19, 22, 19, 24, 528, 204, 268, 388, 35375, 280, 12594, 99, 34, 24, 19, 29, 19, 22, 528, 204, 268, 388, 2115, 4271, 11880, 25, 99, 34, 25, 19, 1003, 19, 21, 528, 204, 268, 388, 56, 19202, 99, 34, 25, 19, 24, 19, 23, 528, 204, 268, 388, 14361, 386, 99, 34, 22, 19, 2353, 19, 24, 528, 204, 268, 388, 948, 29138, 99, 34, 2898, 19, 24, 19, 21, 528, 204, 264, 2437, 204, 204, 264, 314, 968, 4372, 6127, 204, 264, 36574, 68, 9947, 289, 463, 204, 268, 388, 7632, 68, 88, 24, 559, 551, 204, 305, 388, 26264, 24, 99, 34, 22, 19, 3699, 19, 21, 528, 204, 305, 388, 35148, 2272, 528, 204, 268, 7241, 204, 268, 388, 7632, 68, 47913, 559, 551, 204, 305, 388, 35148, 2272, 528, 204, 305, 388, 9888, 18, 7368, 18, 7632, 99, 34, 23, 19, 21, 19, 21, 528, 204, 268, 7241, 204, 268, 388, 11224, 559, 551, 204, 305, 388, 33342, 68, 1644, 73, 68, 19433, 528, 204, 305, 388, 948, 402, 83, 22, 17823, 21, 19, 25, 19, 29, 528, 204, 268, 7241, 204, 268, 388, 4780, 559, 551, 204, 305, 388, 13545, 466, 528, 204, 305, 388, 18274, 528, 204, 268, 7241, 204, 268, 388, 804, 559, 551, 204, 305, 388, 8683, 17823, 2898, 19, 22, 19, 21, 528, 204, 305, 388, 2555, 18, 18707, 17823, 21, 19, 7326, 528, 204, 305, 388, 19300, 17823, 27, 19, 23, 19, 21, 528, 204, 305, 388, 22233, 29, 17823, 25, 19, 21, 19, 22, 528, 204, 305, 388, 948, 3228, 4007, 17823, 27, 19, 22, 19, 22, 528, 204, 305, 388, 23699, 68, 25064, 528, 204, 305, 388, 574, 12236, 68, 721, 82, 528, 204, 305, 388, 804, 23481, 17823, 27, 19, 2132, 19, 24, 528, 204, 305, 388, 20022, 1825, 17823, 22, 19, 28, 19, 21, 528, 204, 305, 388, 360, 372, 17823, 26, 19, 1003, 19, 22, 528, 204, 268, 7241, 204, 264, 1211, 204, 204, 264, 314, 968, 3146, 16674, 204, 264, 16674, 289, 551, 204, 268, 388, 24970, 10352, 5997, 720, 338, 21043, 20, 1671, 578, 528, 204, 268, 388, 11690, 5997, 4318, 8361, 528, 204, 268, 388, 45350, 5997, 5959, 528, 204, 268, 388, 30237, 28468, 5997, 35507, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 5997, 24355, 13131, 528, 204, 268, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 5997, 3426, 3983, 1387, 528, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 9258, 14354, 19458, 528, 204, 268, 388, 18427, 5997, 20523, 11699, 5997, 43155, 5997, 4847, 6501, 2770, 528, 204, 268, 388, 19086, 5997, 28482, 28007, 5997, 25287, 20523, 11357, 528, 204, 268, 388, 29769, 6136, 5997, 8419, 22596, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 27, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 28, 528, 204, 268, 388, 14087, 9044, 0 ]

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

[ 0, 5997, 4847, 5997, 571, 19, 29, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 30, 528, 204, 268, 388, 14087, 9044, 5997, 4847, 5997, 571, 19, 1003, 528, 204, 264, 2437, 204, 204, 264, 314, 1359, 719, 275, 3146, 974, 12800, 204, 264, 12800, 19, 5666, 13, 204, 268, 588, 34, 4780, 68, 4591, 1166, 367, 1778, 367, 2869, 204, 268, 732, 68, 721, 82, 68, 2256, 34, 1021, 17, 204, 268, 2342, 34, 4780, 68, 4591, 1166, 367, 7111, 367, 2869, 204, 268, 2482, 68, 2749, 34, 5515, 68, 2749, 17, 204, 268, 2482, 68, 2749, 68, 2387, 68, 932, 1022, 492, 20, 93, 18, 23473, 528, 204, 268, 2799, 34, 4780, 68, 4591, 1166, 367, 4020, 367, 2869, 204, 268, 2799, 68, 2302, 34, 4780, 68, 4591, 1166, 367, 2302, 367, 2869, 204, 268, 1779, 34, 4780, 68, 4591, 1166, 367, 805, 367, 2869, 204, 268, 11195, 34, 4780, 68, 4591, 1166, 367, 14194, 367, 2869, 204, 268, 9912, 34, 574, 12236, 19, 2269, 68, 9290, 13, 204, 305, 10371, 8090, 7082, 528, 388, 7082, 9371, 528, 33833, 7082, 528, 33833, 7082, 9371, 1339, 204, 268, 5334, 204, 268, 3146, 68, 481, 2508, 204, 305, 388, 494, 349, 775, 559, 551, 204, 485, 388, 2788, 20, 34895, 1288, 20, 16299, 19, 3039, 528, 204, 485, 388, 2788, 20, 12571, 31980, 4655, 528, 204, 485, 388, 2788, 20, 3549, 20, 2788, 31980, 1775, 528, 204, 485, 388, 9747, 14132, 20, 11434, 20, 18501, 20755, 528, 204, 485, 388, 9747, 14132, 20, 11434, 20, 18501, 948, 528, 204, 485, 388, 9747, 14132, 20, 7010, 20, 18501, 948, 528, 204, 305, 2437, 204, 268, 4752, 204, 268, 5415, 68, 11729, 1022, 17823, 24, 19, 27, 17, 962, 24, 19, 1641, 528, 204, 268, 6348, 68, 11729, 34, 9310, 68, 11729, 17, 204, 268, 36574, 68, 9947, 34, 31633, 68, 9947, 17, 204, 268, 16674, 34, 19994, 17, 204, 268, 9796, 1022, 494, 349, 775, 424, 2788, 1907, 528, 204, 264, 1179, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3219, 68, 4780, 374, 204, 0, 647, 9229, 19, 20401, 19, 23177, 448, 10483, 204, 647, 23656, 204, 531, 8378, 532, 2621, 204, 531, 1498, 532, 1884, 204, 204, 647, 357, 2974, 204, 531, 38037, 532, 20987, 204, 204, 676, 22351, 11411, 13, 15542, 330, 204, 264, 320, 5272, 275, 2852, 302, 4793, 424, 315, 204, 264, 1779, 31, 394, 204, 264, 4337, 68, 546, 31, 394, 204, 264, 832, 68, 1219, 31, 394, 204, 264, 832, 68, 804, 31, 394, 204, 204, 676, 26123, 11411, 13, 15542, 330, 204, 264, 320, 5272, 275, 2852, 302, 4050, 424, 315, 204, 264, 832, 68, 1219, 31, 394, 204, 264, 832, 68, 804, 31, 394, 204, 204, 461, 4065, 68, 1292, 68, 481, 13, 1292, 68, 3366, 31, 22351, 11411, 14, 393, 394, 31, 204, 264, 320, 204, 264, 21124, 4793, 424, 497, 275, 1713, 1274, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 832, 311, 275, 12579, 4337, 510, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 4065, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 357, 2974, 19, 7237, 13, 1292, 68, 3366, 19, 805, 17, 4793, 68, 3366, 19, 5714, 68, 546, 17, 19249, 34, 1975, 14, 204, 268, 407, 4793, 68, 3366, 19, 5714, 68, 546, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16950, 4793, 424, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 1292, 68, 481, 13, 5714, 68, 546, 31, 394, 17, 1967, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 7483, 275, 4578, 302, 273, 4337, 510, 19, 204, 204, 264, 457, 31, 204, 264, 4337, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4337, 510, 19, 204, 264, 1967, 68, 546, 322, 325, 330, 334, 832, 311, 1967, 275, 4578, 311, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 23656, 19, 32961, 13, 5714, 68, 546, 17, 388, 87, 431, 448, 4337, 68, 3484, 31, 204, 305, 4337, 68, 3484, 19, 5184, 668, 13, 5184, 68, 546, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16997, 4793, 424, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 13166, 68, 531, 68, 5153, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 10370, 497, 273, 2875, 6275, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6275, 510, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 334, 4989, 10370, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 2192, 289, 10483, 19, 1703, 13, 553, 68, 546, 14, 204, 268, 1610, 289, 2192, 19, 41290, 374, 204, 268, 397, 1245, 13, 2125, 14, 1323, 500, 31, 204, 305, 458, 68, 522, 68, 492, 68, 266, 68, 389, 68, 553, 289, 551, 87, 19, 492, 348, 468, 292, 1610, 64, 21, 2629, 204, 305, 407, 388, 5161, 1541, 13, 655, 68, 522, 68, 492, 68, 266, 68, 389, 68, 553, 14, 204, 268, 902, 31, 204, 305, 407, 3026, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 16997, 10370, 497, 463, 553, 68, 546, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 3810, 68, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 7483, 10370, 497, 3536, 6275, 1860, 292, 273, 4622, 19, 204, 204, 264, 457, 31, 204, 264, 4622, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4622, 1174, 6275, 1860, 19, 204, 204, 264, 475, 31, 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, 394, 31, 334, 4989, 10370, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 830, 68, 11224, 31, 458, 64, 325, 66, 289, 1306, 204, 264, 348, 510, 68, 546, 292, 2621, 13, 3810, 68, 546, 789, 10944, 499, 13585, 5153, 6471, 204, 268, 1068, 68, 266, 68, 389, 68, 553, 289, 1967, 68, 13166, 68, 531, 68, 5153, 68, 553, 13, 325, 13, 553, 68, 546, 602, 204, 268, 830, 68, 11224, 19, 1223, 13, 492, 68, 266, 68, 389, 68, 553, 14, 204, 204, 264, 407, 388, 5161, 1541, 13, 668, 68, 11224, 14, 204, 204, 461, 2106, 68, 481, 13, 4971, 68, 546, 31, 394, 17, 4050, 68, 481, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 424, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 4050, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 19, 204, 264, 4050, 68, 481, 322, 325, 330, 334, 424, 311, 2106, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 7770, 4737, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 4971, 68, 546, 17, 388, 92, 431, 448, 283, 31, 204, 305, 283, 19, 2206, 13, 4971, 68, 481, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 7770, 424, 311, 463, 4971, 68, 546, 2829, 463, 74, 743, 204, 268, 980, 204, 204, 461, 636, 68, 1219, 68, 804, 68, 11224, 13, 1292, 68, 3366, 31, 22351, 11411, 14, 393, 1884, 64, 325, 17, 394, 744, 204, 264, 320, 204, 264, 3596, 275, 951, 329, 683, 6973, 497, 275, 4793, 424, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 204, 264, 475, 31, 204, 264, 1884, 64, 325, 17, 394, 744, 334, 951, 329, 683, 6973, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 13348, 4737, 19, 204, 264, 320, 204, 264, 265, 68, 1219, 289, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 1292, 68, 3366, 19, 546, 68, 1219, 14, 204, 264, 265, 68, 804, 289, 1967, 68, 13166, 68, 531, 68, 11786, 68, 2375, 13, 1292, 68, 3366, 19, 546, 68, 804, 14, 204, 264, 407, 265, 68, 1219, 17, 265, 68, 804, 204, 204, 461, 2106, 68, 1219, 68, 804, 68, 11224, 13, 204, 264, 4050, 68, 3366, 31, 26123, 11411, 17, 265, 68, 1219, 31, 394, 17, 265, 68, 804, 31, 394, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9716, 275, 951, 329, 683, 6973, 311, 275, 4050, 2852, 19, 204, 204, 264, 457, 31, 204, 264, 4050, 68, 3366, 322, 29624, 11411, 330, 334, 2852, 302, 4050, 424, 19, 204, 264, 265, 68, 1219, 322, 325, 330, 334, 951, 3243, 19, 204, 264, 265, 68, 804, 322, 325, 330, 334, 683, 3243, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 275, 7770, 4737, 19, 204, 264, 320, 204, 264, 2106, 68, 481, 13, 4971, 68, 3366, 19, 546, 68, 1219, 17, 265, 68, 1219, 14, 204, 264, 2106, 68, 481, 13, 4971, 68, 3366, 19, 546, 68, 804, 17, 265, 68, 804, 14, 204, 204, 461, 667, 13, 1292, 68, 3366, 31, 22351, 11411, 17, 4050, 68, 3366, 31, 26123, 11411, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2901, 917, 302, 275, 2548, 19, 204, 204, 264, 21124, 4793, 424, 17, 15943, 490, 17, 329, 6332, 490, 19, 204, 204, 264, 457, 31, 204, 264, 4793, 68, 3366, 322, 20525, 11411, 330, 334, 2852, 302, 4793, 424, 19, 204, 264, 4050, 68, 3366, 322, 29624, 11411, 330, 334, 2852, 302, 4050, 424, 19, 204, 204, 264, 1632, 31, 204, 264, 1319, 31, 828, 1169, 1660, 4737, 19, 204, 264, 320, 204, 264, 4793, 68, 481, 68, 546, 289, 4065, 68, 1292, 68, 481, 13, 1292, 68, 3366, 14, 204, 264, 1967, 68, 1292, 68, 481, 13, 1292, 68, 481, 68, 546, 17, 388, 1280, 204, 264, 265, 68, 1219, 17, 265, 68, 804, 289, 636, 68, 1219, 68, 804, 68, 11224, 13, 1292, 68, 3366, 14, 204, 264, 2106, 68, 1219, 68, 804, 68, 11224, 13, 4971, 68, 3366, 17, 265, 68, 1219, 17, 265, 68, 804, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 4793, 68, 3366, 289, 22351, 11411, 13, 204, 268, 1779, 1022, 3189, 1963, 17263, 19, 9888, 19, 1453, 20, 6936, 36, 359, 34, 22, 79, 46, 22, 3912, 93, 23053, 92, 5226, 40, 18, 91, 3515, 29, 73, 25818, 27, 71, 25, 70, 15890, 89, 39, 71, 48, 94, 24, 528, 204, 268, 4337, 68, 546, 1022, 29197, 19, 5714, 528, 204, 268, 832, 68, 1219, 1022, 989, 20, 1219, 20, 278, 528, 204, 268, 832, 68, 804, 1022, 989, 20, 804, 20, 278, 528, 204, 264, 1179, 204, 264, 4050, 68, 3366, 289, 26123, 11411, 13, 204, 268, 832, 68, 1219, 1022, 989, 20, 1219, 20, 278, 19, 3039, 528, 204, 268, 832, 68, 804, 1022, 989, 20, 804, 20, 278, 19, 3039, 528, 204, 264, 1179, 204, 264, 810, 31, 204, 268, 667, 13, 1292, 68, 3366, 17, 4050, 68, 3366, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 647, 30408, 448, 27893, 204, 647, 27681, 448, 12641, 204, 647, 690, 448, 265, 204, 204, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 575, 537, 497, 273, 3176, 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, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 12641, 19, 4202, 13, 4202, 14, 204, 204, 461, 2037, 68, 14954, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 437, 10733, 943, 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, 943, 322, 325, 330, 334, 943, 311, 2037, 19, 204, 264, 320, 204, 264, 12641, 19, 14954, 13, 1454, 14, 204, 204, 461, 1451, 68, 805, 13, 805, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3594, 273, 1274, 292, 275, 1540, 5214, 19, 204, 204, 264, 457, 31, 204, 268, 1779, 322, 325, 330, 334, 1274, 311, 1451, 19, 204, 264, 320, 204, 264, 27893, 19, 3664, 13, 805, 14, 204, 204, 461, 949, 68, 2160, 13, 816, 68, 768, 31, 394, 17, 1728, 68, 1608, 31, 1135, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 1728, 1609, 523, 575, 537, 19, 204, 204, 264, 457, 31, 204, 268, 575, 68, 768, 322, 325, 330, 334, 575, 677, 537, 19, 204, 268, 1728, 68, 1608, 322, 873, 330, 332, 955, 4707, 3806, 311, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1728, 348, 275, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 1728, 68, 1608, 19, 505, 13, 816, 68, 768, 17, 500, 14, 204, 204, 461, 636, 68, 2160, 68, 1538, 68, 3924, 13, 3924, 31, 394, 17, 1728, 68, 1608, 31, 1135, 14, 393, 421, 31, 204, 264, 320, 204, 264, 763, 1728, 348, 273, 2851, 1609, 523, 575, 537, 19, 204, 204, 264, 457, 31, 204, 268, 2851, 322, 325, 330, 334, 2851, 311, 4566, 275, 575, 1465, 19, 204, 268, 1728, 68, 1608, 322, 873, 330, 332, 955, 4707, 3806, 311, 1728, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1728, 348, 275, 575, 677, 537, 19, 204, 264, 320, 204, 264, 575, 68, 768, 289, 636, 68, 816, 68, 768, 13, 75, 7, 3728, 353, 1214, 10551, 463, 3924, 20637, 2810, 204, 264, 407, 949, 68, 2160, 13, 816, 68, 768, 17, 1728, 68, 1608, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 968, 1728, 10105, 348, 848, 2851, 204, 264, 1728, 68, 11555, 289, 463, 204, 268, 388, 22247, 2248, 559, 463, 204, 305, 388, 673, 15792, 559, 7669, 17, 204, 305, 388, 37687, 88, 329, 36895, 559, 1607, 17, 204, 305, 388, 2188, 16422, 559, 7776, 17, 204, 268, 4752, 204, 268, 388, 1972, 39, 3384, 559, 463, 204, 305, 388, 673, 33845, 486, 301, 559, 7669, 17, 204, 305, 388, 673, 502, 2187, 559, 1607, 17, 204, 305, 388, 673, 3537, 4087, 93, 559, 338, 9333, 17, 204, 268, 4752, 204, 268, 388, 4814, 1470, 559, 463, 204, 305, 388, 46455, 83, 704, 559, 10850, 17, 204, 305, 388, 27219, 28058, 20930, 11193, 559, 3861, 17, 204, 305, 388, 31894, 44, 559, 338, 28924, 17, 204, 268, 4752, 204, 268, 388, 9323, 559, 463, 204, 305, 388, 47296, 559, 20846, 17, 204, 305, 388, 22179, 70, 559, 10850, 17, 204, 305, 388, 56, 35211, 559, 3861, 17, 204, 268, 4752, 204, 268, 388, 6782, 559, 463, 204, 305, 388, 27219, 28058, 559, 47207, 17, 204, 305, 388, 27219, 14367, 80, 559, 338, 2051, 16353, 17, 204, 305, 388, 47, 11913, 559, 500, 17, 204, 268, 4752, 204, 264, 1211, 204, 204, 264, 314, 977, 1113, 1728, 204, 264, 1113, 68, 2160, 289, 500, 204, 204, 264, 314, 763, 1728, 348, 848, 2851, 204, 264, 348, 2851, 17, 1728, 68, 1608, 292, 1728, 68, 11555, 19, 1996, 1293, 204, 268, 1728, 289, 636, 68, 2160, 68, 1538, 68, 3924, 13, 3924, 17, 1728, 68, 1608, 14, 204, 268, 1113, 68, 2160, 1412, 1728, 204, 268, 456, 13, 75, 7, 5009, 20385, 463, 2160, 98, 1728, 348, 1214, 10551, 463, 3924, 12443, 204, 204, 264, 314, 3740, 1113, 1728, 204, 264, 2037, 68, 14954, 13, 75, 7, 5009, 20385, 273, 1113, 302, 463, 2609, 68, 2160, 98, 1728, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 25699, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 1900, 15309, 24939, 329, 2811, 4802, 7339, 2758, 19, 204, 204, 264, 1532, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 4389, 19, 204, 268, 542, 322, 339, 330, 334, 542, 311, 444, 31874, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 542, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 275, 25699, 726, 19, 204, 204, 268, 457, 31, 204, 305, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 4389, 19, 204, 305, 542, 322, 339, 330, 334, 542, 311, 444, 31874, 19, 204, 204, 268, 1632, 31, 204, 305, 3660, 31, 828, 275, 588, 353, 508, 273, 782, 521, 275, 542, 353, 508, 273, 10570, 1187, 19, 204, 268, 320, 204, 268, 397, 508, 2381, 13, 417, 17, 394, 330, 204, 305, 980, 3660, 499, 2687, 1631, 444, 273, 782, 431, 204, 268, 397, 508, 2381, 13, 1190, 17, 322, 339, 17, 818, 4019, 204, 305, 980, 3660, 499, 4290, 1631, 444, 273, 10570, 1187, 431, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 1190, 289, 542, 204, 204, 264, 436, 12042, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 273, 15309, 4389, 943, 19, 204, 268, 320, 204, 268, 314, 1198, 273, 4389, 943, 440, 275, 1917, 588, 204, 268, 456, 13, 75, 7, 23797, 463, 327, 19, 417, 23214, 204, 204, 264, 436, 6342, 68, 1190, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 31776, 275, 537, 542, 560, 368, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 334, 31874, 542, 19, 204, 268, 320, 204, 268, 314, 7415, 275, 542, 560, 368, 329, 407, 275, 722, 204, 268, 407, 370, 19, 1190, 465, 368, 204, 204, 264, 436, 456, 68, 7996, 68, 4648, 13, 327, 17, 540, 1038, 31, 394, 17, 12779, 31, 394, 289, 379, 6947, 393, 443, 31, 204, 268, 320, 204, 268, 4060, 3536, 3157, 5289, 560, 273, 1713, 11161, 19, 204, 204, 268, 457, 31, 204, 305, 540, 1038, 322, 325, 330, 334, 3157, 311, 444, 9425, 19, 204, 0 ]

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

[ 0, 305, 12779, 322, 325, 17, 1448, 330, 334, 11161, 19, 1243, 311, 379, 3759, 204, 268, 320, 204, 268, 314, 1198, 275, 1917, 3157, 5289, 560, 275, 1713, 11161, 204, 268, 456, 4934, 1038, 17, 12779, 34, 16228, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 32324, 22, 289, 25699, 499, 49, 8349, 402, 95, 528, 720, 14, 204, 264, 32324, 22, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 22, 19, 13926, 68, 1190, 1447, 204, 204, 264, 32324, 23, 289, 25699, 499, 37553, 528, 931, 14, 204, 264, 32324, 23, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 23, 19, 13926, 68, 1190, 1447, 204, 204, 264, 32324, 24, 289, 25699, 499, 42, 2027, 528, 2153, 14, 204, 264, 32324, 24, 19, 21642, 374, 204, 264, 456, 13, 1562, 2972, 24, 19, 13926, 68, 1190, 1447, 204, 204, 264, 456, 374, 204, 204, 264, 32324, 22, 19, 2102, 68, 7996, 68, 4648, 611, 3162, 491, 379, 14053, 491, 379, 13678, 491, 12779, 833, 45056, 534, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 17, 537, 68, 932, 31, 1187, 14, 393, 818, 31, 204, 264, 320, 204, 264, 763, 575, 537, 329, 1814, 490, 311, 275, 1713, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 268, 537, 68, 932, 322, 932, 330, 334, 1187, 311, 928, 275, 537, 1856, 444, 6004, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 575, 677, 537, 448, 273, 818, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 537, 2950, 444, 6004, 311, 275, 1713, 1187, 19, 204, 264, 320, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 314, 3289, 311, 1814, 275, 575, 677, 537, 311, 275, 1713, 1187, 204, 305, 407, 537, 68, 932, 13, 768, 13, 4202, 602, 204, 268, 827, 987, 31, 204, 305, 314, 1426, 2872, 537, 329, 3176, 275, 575, 311, 810, 2528, 204, 305, 456, 499, 5977, 30674, 7303, 43009, 19, 28107, 6972, 17, 292, 47561, 14578, 15692, 1280, 204, 204, 461, 949, 68, 25849, 13, 3374, 31, 818, 17, 1853, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 19366, 10718, 6104, 322, 41375, 14, 1609, 523, 2308, 329, 1853, 19, 204, 204, 264, 457, 31, 204, 268, 2308, 322, 996, 330, 334, 575, 677, 2308, 292, 5279, 19, 204, 268, 1853, 322, 996, 330, 334, 575, 677, 1853, 292, 6166, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 3392, 18153, 19, 204, 264, 320, 204, 264, 314, 888, 18153, 974, 275, 2089, 31, 2308, 802, 1853, 67, 23, 204, 264, 407, 2308, 802, 322, 2757, 930, 435, 14, 204, 204, 461, 3822, 68, 3374, 68, 3924, 13, 25849, 31, 818, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4347, 275, 2308, 2851, 1609, 523, 275, 18153, 19, 204, 204, 264, 457, 31, 204, 268, 29330, 322, 996, 330, 334, 3392, 18153, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 2308, 2851, 19, 204, 264, 320, 204, 264, 314, 968, 275, 18153, 5981, 329, 1017, 3310, 10207, 204, 264, 5981, 289, 463, 204, 268, 388, 28238, 1077, 84, 770, 26737, 84, 559, 322, 21, 17, 1916, 19, 26, 659, 204, 268, 388, 1625, 26737, 84, 2519, 559, 322, 2132, 19, 26, 17, 2019, 659, 204, 268, 388, 638, 9691, 770, 26737, 84, 559, 322, 1511, 17, 2468, 659, 204, 268, 388, 1073, 301, 84, 559, 322, 2188, 17, 818, 499, 3643, 3687, 204, 264, 1211, 204, 204, 264, 314, 4347, 275, 2308, 2851, 1609, 523, 275, 18153, 204, 264, 348, 2851, 17, 322, 3006, 17, 3482, 14, 292, 5981, 19, 1996, 1293, 204, 268, 397, 3124, 2186, 29330, 962, 3482, 31, 204, 305, 407, 2851, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 949, 329, 2037, 275, 575, 677, 18153, 329, 2308, 2851, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 2308, 329, 1853, 204, 264, 2308, 289, 636, 68, 816, 68, 768, 499, 837, 1538, 293, 414, 90, 26737, 84, 322, 7487, 330, 6277, 818, 14, 204, 264, 1853, 289, 636, 68, 816, 68, 768, 499, 837, 1538, 293, 967, 70, 9998, 15514, 322, 82, 330, 6277, 818, 14, 204, 204, 264, 314, 888, 275, 575, 677, 18153, 204, 264, 29330, 289, 949, 68, 25849, 13, 3374, 17, 1853, 14, 204, 204, 264, 314, 4347, 275, 575, 677, 2308, 2851, 204, 264, 2851, 289, 3822, 68, 3374, 68, 3924, 13, 25849, 14, 204, 204, 264, 314, 3740, 275, 575, 677, 18153, 329, 2308, 2851, 204, 264, 456, 13, 75, 7, 3047, 90, 15953, 40, 22007, 355, 463, 25849, 4567, 22, 75, 1522, 29910, 22213, 2432, 8433, 463, 3924, 12443, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 1671, 291, 6455, 332, 1816, 441, 21489, 329, 12247, 3311, 2534, 95, 936, 10869, 273, 12925, 15282, 18523, 2016, 292, 19772, 440, 275, 26744, 1724, 17, 334, 17968, 627, 333, 22765, 19, 8278, 353, 273, 23747, 31584, 11274, 9206, 302, 275, 2016, 322, 2850, 789, 2935, 353, 1901, 32002, 299, 292, 4488, 275, 2016, 5319, 353, 275, 5746, 311, 928, 275, 3857, 1250, 7260, 5111, 311, 444, 5319, 884, 88, 31982, 19, 2935, 1583, 47877, 627, 333, 1869, 3237, 36, 592, 273, 1142, 17, 490, 3210, 496, 275, 5481, 329, 904, 44602, 5785, 5899, 1120, 6202, 18652, 275, 542, 329, 5926, 302, 8499, 1250, 1519, 292, 1552, 311, 1235, 1035, 275, 4876, 850, 3580, 34885, 1250, 2080, 292, 275, 20388, 88, 329, 18098, 88, 19, 334, 5094, 1120, 10649, 1225, 5323, 1101, 508, 5256, 8499, 311, 4897, 273, 3264, 27884, 2233, 19, 8278, 353, 1017, 12130, 292, 19772, 31, 204, 3070, 1422, 353, 1236, 18382, 496, 572, 874, 7301, 311, 5506, 275, 2482, 18, 4953, 6126, 523, 4719, 7497, 11266, 496, 1120, 722, 497, 275, 18687, 302, 2590, 18, 20353, 11394, 17, 13862, 17, 329, 5627, 8499, 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, 1131, 275, 1729, 690, 17, 10501, 11243, 1093, 17460, 496, 1910, 302, 1605, 8499, 529, 17517, 24061, 19, 322, 8261, 14, 204, 673, 6837, 18335, 3857, 1250, 10994, 292, 19772, 529, 3848, 896, 3576, 302, 2077, 7591, 1964, 5319, 31, 6309, 20331, 13931, 8980, 17, 18348, 21811, 15247, 26484, 6235, 10244, 8980, 7549, 17, 19676, 292, 275, 4147, 302, 275, 11257, 8206, 22011, 329, 3158, 23750, 17, 329, 8924, 1613, 302, 5627, 19, 204, 21741, 1625, 4132, 5634, 329, 7695, 25952, 5111, 311, 28298, 275, 4361, 16751, 292, 275, 5269, 5439, 19, 332, 41924, 1502, 292, 275, 8924, 11257, 20117, 496, 4719, 7561, 2931, 1163, 21811, 329, 4581, 1163, 2350, 8980, 2264, 19, 3242, 33756, 501, 19, 45972, 17, 14587, 302, 275, 4719, 5310, 3735, 8540, 292, 39063, 17, 5366, 17, 1622, 673, 17764, 353, 311, 636, 1182, 919, 2900, 273, 30624, 292, 17585, 3582, 9494, 1625, 4132, 2652, 329, 13727, 292, 275, 2688, 6223, 21672, 496, 5992, 886, 302, 7809, 1120, 444, 27517, 329, 496, 1605, 7809, 1120, 8812, 311, 444, 304, 77, 7574, 292, 8499, 496, 770, 508, 2761, 26918, 25551, 329, 22492, 19, 16156, 329, 39303, 1120, 9010, 275, 1901, 448, 275, 722, 302, 1605, 3731, 32, 275, 6863, 18768, 292, 437, 39253, 10845, 560, 4598, 329, 39303, 353, 3667, 437, 14408, 302, 17466, 25551, 292, 496, 20551, 19, 322, 24, 14, 204, 673, 1350, 11414, 17, 1182, 754, 3554, 299, 17, 36986, 275, 4263, 302, 12479, 10684, 329, 8475, 15671, 22513, 444, 1248, 275, 5086, 17633, 88, 329, 275, 4744, 14667, 88, 496, 869, 48819, 3566, 329, 5955, 10389, 17, 18179, 9212, 14626, 329, 5815, 19, 322, 26, 14, 204, 1834, 17, 292, 8987, 17, 353, 275, 2085, 2614, 928, 273, 30222, 8016, 2624, 1622, 13242, 1001, 7988, 311, 3074, 2665, 17, 508, 1698, 348, 548, 19, 56, 19, 7809, 17, 1101, 14963, 348, 830, 7809, 19, 592, 808, 2016, 572, 21836, 496, 275, 27286, 19643, 302, 2223, 18, 11382, 17, 2590, 18, 20353, 17, 16619, 8499, 353, 7758, 560, 2327, 15087, 3232, 25690, 19, 322, 29, 14, 204, 673, 38898, 1250, 2790, 353, 406, 1221, 31, 717, 8499, 1120, 6202, 444, 1966, 630, 273, 2233, 311, 10579, 18348, 7549, 348, 8499, 19, 204, 14232, 1043, 4601, 3217, 12964, 275, 12921, 19416, 302, 20515, 27864, 869, 10564, 329, 490, 353, 690, 311, 5190, 490, 273, 4130, 1382, 44795, 3217, 21733, 874, 630, 2482, 1673, 414, 738, 336, 1025, 275, 16995, 302, 1901, 11061, 17, 2219, 275, 1901, 2976, 3704, 4911, 337, 19, 334, 19416, 869, 10564, 2404, 275, 8615, 18, 12814, 1625, 4132, 11719, 302, 2077, 690, 17, 928, 353, 508, 33734, 311, 717, 16589, 6332, 1101, 1425, 13605, 32043, 3731, 292, 275, 4147, 302, 33396, 17, 869, 44915, 25338, 275, 4840, 302, 1225, 17, 9365, 17, 329, 20551, 19, 334, 4835, 22453, 302, 6546, 329, 6572, 302, 11518, 440, 1017, 1225, 869, 1742, 7919, 2547, 7716, 19, 322, 1909, 14, 204, 13239, 884, 358, 1425, 7550, 273, 11676, 302, 2075, 275, 5094, 2549, 2909, 2090, 31, 29381, 7977, 440, 273, 44712, 2599, 302, 7497, 17, 1609, 523, 273, 5660, 302, 10872, 1225, 329, 31803, 4361, 7582, 19, 204, 673, 15209, 302, 808, 1225, 353, 311, 4894, 7546, 329, 4361, 5169, 496, 3074, 451, 292, 273, 2945, 292, 928, 490, 353, 4199, 496, 8499, 529, 1236, 6397, 275, 1988, 17, 496, 572, 1631, 1020, 3161, 2501, 311, 4897, 273, 2842, 2599, 302, 7497, 348, 830, 19, 322, 93, 5831, 14, 204, 13127, 447, 17, 397, 794, 1208, 353, 283, 756, 311, 444, 1236, 6397, 275, 2710, 311, 275, 4090, 302, 10501, 3101, 17585, 17, 572, 1519, 437, 15491, 717, 3979, 311, 275, 4361, 19881, 329, 17, 1182, 8628, 17, 1622, 92, 20852, 1001, 4643, 19, 828, 1422, 353, 1225, 311, 444, 3870, 17, 11243, 1856, 770, 1429, 302, 490, 32, 4916, 304, 9479, 11134, 1784, 2979, 523, 275, 5568, 302, 1225, 437, 3509, 16510, 19, 322, 42929, 14, 204, 13239, 529, 448, 12912, 292, 275, 1622, 28822, 75, 18689, 1001, 1085, 302, 275, 2717, 448, 275, 1622, 11187, 302, 7497, 1001, 1085, 19, 3433, 3480, 311, 2379, 2075, 6651, 302, 5268, 17, 9631, 17, 329, 700, 529, 2237, 348, 273, 4835, 25721, 292, 928, 1225, 329, 14214, 529, 1236, 6397, 275, 4408, 7253, 36, 1547, 353, 437, 1337, 1506, 2717, 448, 3171, 448, 490, 353, 437, 7591, 1051, 5323, 928, 5178, 451, 1818, 311, 437, 10407, 1722, 523, 7582, 329, 40681, 19, 204, 4259, 3237, 353, 8965, 902, 1415, 869, 273, 11676, 302, 273, 47877, 627, 333, 5094, 31, 12247, 29865, 1013, 19, 7953, 13253, 302, 275, 8257, 15886, 322, 291, 13087, 1397, 19695, 1652, 344, 26495, 497, 44088, 311, 19841, 14, 329, 275, 24291, 322, 1947, 4219, 91, 5329, 1622, 3008, 275, 2333, 1001, 5698, 7497, 523, 275, 22277, 18, 1805, 365, 2669, 35051, 2706, 24291, 14, 6018, 273, 20035, 82, 7157, 302, 3307, 348, 1880, 20259, 560, 292, 273, 25628, 85, 3279, 2688, 19, 3065, 353, 35834, 17, 6309, 20331, 17, 13927, 17, 7591, 13727, 292, 29865, 1013, 884, 88, 2688, 5323, 1101, 1422, 884, 88, 9430, 496, 13207, 2090, 273, 4876, 850, 3307, 348, 18189, 1880, 19, 322, 5399, 529, 273, 11502, 302, 275, 36082, 31, 4853, 90, 14172, 3078, 17, 5610, 16706, 10287, 884, 88, 5565, 543, 6268, 204, 3837, 6965, 292, 301, 46915, 496, 275, 18348, 17971, 302, 7582, 329, 13927, 572, 874, 13861, 348, 23460, 2181, 529, 17828, 4201, 311, 275, 47877, 627, 333, 1259, 302, 2153, 10, 311, 1199, 10, 302, 451, 322, 42960, 42295, 6494, 7809, 329, 1600, 1239, 324, 1992, 336, 7809, 14, 329, 275, 20533, 42494, 608, 7497, 11266, 302, 3161, 2753, 9489, 4596, 9242, 1070, 808, 5816, 302, 8047, 17, 2077, 8295, 353, 1425, 8529, 6235, 11994, 380, 299, 275, 1136, 302, 4361, 9943, 10770, 329, 275, 19882, 496, 572, 884, 358, 2080, 5575, 311, 928, 11243, 8753, 497, 7591, 4801, 19, 11453, 1582, 6965, 311, 444, 25696, 1182, 292, 275, 2945, 302, 29865, 1013, 1194, 332, 1816, 441, 21489, 19, 3846, 19733, 808, 353, 275, 9728, 5210, 302, 1629, 20178, 47417, 1877, 830, 31, 311, 41483, 3498, 2280, 275, 20357, 302, 4361, 9943, 10770, 329, 21049, 0 ]

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

[ 0, 36704, 26506, 329, 311, 2512, 31821, 311, 874, 1163, 2501, 794, 5491, 16297, 560, 4361, 35569, 19, 46073, 447, 572, 287, 775, 848, 904, 1182, 1194, 808, 19, 204, 2551, 4935, 275, 10114, 523, 275, 1435, 1465, 17585, 529, 4260, 1465, 2624, 5247, 322, 31277, 13188, 2103, 14, 521, 9530, 2219, 1182, 5025, 17712, 348, 6160, 329, 275, 31363, 322, 7927, 12914, 291, 789, 443, 302, 1605, 27559, 2506, 275, 1182, 16049, 38898, 31, 572, 1741, 1519, 311, 2506, 273, 27399, 717, 2501, 302, 8993, 1465, 7582, 17, 1225, 17, 4361, 3272, 17, 329, 19216, 292, 275, 5094, 19, 4253, 496, 884, 88, 2075, 332, 1816, 441, 21489, 329, 3311, 2534, 95, 936, 13037, 7510, 1199, 2181, 8518, 19, 204, 13, 6674, 362, 579, 396, 18278, 415, 815, 11092, 884, 5411, 15285, 311, 19841, 11274, 523, 273, 16147, 4802, 7582, 353, 273, 7051, 9764, 1012, 523, 1429, 9233, 9037, 8993, 322, 2850, 789, 14, 0, 658, 2935, 12322, 30160, 36, 204, 204, 29145, 88, 529, 2927, 719, 302, 42856, 88, 19, 332, 42856, 353, 273, 2875, 2231, 496, 353, 5971, 275, 1351, 302, 273, 542, 329, 1051, 521, 1182, 2558, 7514, 311, 273, 2140, 6409, 2347, 19, 204, 204, 1380, 16821, 302, 30160, 204, 204, 15, 262, 930, 9658, 3493, 88, 1416, 332, 2875, 2231, 17, 1702, 448, 435, 93, 521, 571, 94, 67, 23, 19, 204, 15, 262, 930, 39, 13420, 88, 1416, 7609, 42856, 88, 6571, 17, 1702, 448, 435, 93, 465, 571, 94, 521, 610, 67, 23, 338, 681, 19, 204, 15, 262, 930, 26685, 13420, 88, 1416, 13056, 42856, 88, 6571, 17, 1702, 448, 610, 67, 23, 465, 681, 93, 465, 681, 19, 204, 204, 1380, 334, 30575, 302, 273, 17008, 204, 204, 673, 5746, 302, 273, 5326, 353, 9002, 560, 275, 3018, 440, 275, 6862, 6409, 19, 1765, 1763, 31, 204, 204, 15, 262, 930, 29145, 302, 5746, 368, 1416, 435, 93, 322, 1947, 6862, 6409, 353, 368, 14, 204, 15, 262, 930, 29145, 302, 5746, 435, 1416, 610, 67, 23, 465, 571, 93, 338, 681, 322, 1947, 6862, 6409, 353, 435, 14, 204, 15, 262, 930, 29145, 302, 5746, 571, 1416, 610, 67, 24, 338, 435, 93, 67, 23, 465, 610, 338, 368, 322, 1947, 6862, 6409, 353, 571, 14, 0, 2841, 353, 1236, 2821, 1844, 521, 2717, 292, 275, 1917, 1068, 19, 334, 1068, 6644, 311, 444, 273, 3599, 302, 46392, 329, 15300, 302, 2821, 4764, 17, 18520, 17, 329, 7694, 348, 2804, 19, 828, 872, 2549, 1308, 273, 2824, 2821, 1844, 521, 2717, 17, 382, 1784, 444, 10048, 311, 1340, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 315, 204, 5063, 302, 275, 11036, 38176, 299, 5297, 19, 204, 204, 1834, 3467, 12938, 1662, 311, 732, 275, 11036, 2567, 349, 299, 850, 311, 1900, 273, 19060, 2347, 5825, 19, 204, 3837, 6609, 273, 11036, 32158, 299, 1014, 440, 273, 20560, 15682, 1137, 3680, 17, 11829, 88, 275, 1137, 311, 838, 273, 19060, 1137, 17, 204, 416, 1675, 5018, 275, 11036, 2567, 349, 299, 850, 311, 1900, 275, 19060, 2347, 5825, 19, 204, 315, 204, 204, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 21072, 19, 2816, 68, 26665, 299, 532, 11036, 2567, 349, 299, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 21072, 19, 2816, 68, 43220, 532, 11036, 32158, 299, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 11549, 532, 25966, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 8670, 532, 18404, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 5719, 532, 8361, 204, 531, 1559, 5419, 68, 772, 19, 3191, 19, 8665, 532, 48019, 204, 204, 204, 461, 838, 68, 5719, 13, 834, 68, 48920, 1613, 31, 421, 17, 35001, 68, 31765, 31, 421, 17, 1419, 68, 2124, 31, 421, 14, 393, 8361, 31, 204, 264, 320, 204, 264, 666, 437, 1964, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 690, 68, 48920, 1613, 322, 339, 330, 3682, 26161, 1613, 292, 3331, 19, 204, 264, 35001, 68, 31765, 322, 339, 330, 3239, 302, 35001, 292, 275, 22758, 19, 204, 264, 1419, 68, 2124, 322, 339, 330, 807, 2344, 19, 204, 204, 264, 475, 31, 204, 264, 8361, 31, 334, 1966, 1964, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 9869, 1014, 204, 264, 9869, 289, 25966, 13, 204, 268, 690, 68, 48920, 1613, 34, 834, 68, 48920, 1613, 17, 204, 268, 35001, 68, 31765, 34, 29679, 68, 31765, 17, 204, 268, 35001, 68, 5293, 68, 31765, 34, 29679, 68, 31765, 17, 204, 268, 35001, 68, 2609, 34, 29679, 68, 31765, 17, 204, 268, 1419, 68, 2124, 34, 3474, 68, 2124, 204, 264, 1179, 204, 204, 264, 314, 666, 273, 5583, 1014, 204, 264, 5583, 289, 18404, 13, 11549, 17, 732, 68, 9445, 62, 34, 1021, 14, 204, 204, 264, 314, 666, 273, 6042, 1014, 204, 264, 6042, 289, 48019, 374, 204, 204, 264, 314, 666, 437, 1964, 1014, 204, 264, 1964, 289, 8361, 13, 11549, 17, 5583, 17, 6042, 14, 204, 204, 264, 407, 1964, 204, 204, 204, 461, 838, 68, 2816, 68, 43220, 13, 5719, 31, 8361, 17, 7497, 68, 4670, 31, 818, 17, 2824, 68, 21072, 31, 818, 14, 393, 11036, 32158, 299, 31, 204, 264, 320, 204, 264, 666, 273, 2817, 18937, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 1964, 322, 11690, 330, 334, 1964, 1014, 19, 204, 264, 7497, 68, 4670, 322, 996, 330, 334, 7497, 1864, 292, 2415, 6166, 19, 204, 264, 2824, 68, 21072, 322, 996, 330, 334, 2824, 7549, 292, 595, 20, 82, 67, 23, 19, 204, 204, 264, 475, 31, 204, 264, 11036, 32158, 299, 31, 334, 1966, 2817, 18937, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2817, 18937, 1014, 440, 273, 20560, 15682, 1137, 3680, 204, 264, 2817, 68, 43220, 289, 11036, 32158, 299, 13, 204, 268, 1964, 17, 204, 268, 1216, 34, 22, 17, 226, 314, 7383, 1137, 3680, 204, 268, 7497, 68, 4670, 34, 35713, 68, 4670, 17, 204, 268, 2824, 68, 21072, 34, 10667, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21072, 204, 264, 1179, 204, 204, 264, 407, 2817, 68, 43220, 204, 204, 204, 461, 838, 68, 26665, 299, 68, 986, 13, 2816, 68, 43220, 31, 11036, 32158, 299, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 666, 273, 19060, 1137, 560, 11829, 299, 275, 2817, 18937, 1137, 19, 204, 204, 264, 4435, 31, 204, 264, 2817, 68, 43220, 322, 17305, 32158, 299, 330, 334, 2817, 18937, 1014, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 334, 19060, 1137, 19, 204, 264, 320, 204, 264, 314, 763, 275, 2817, 18937, 2347, 204, 264, 18937, 68, 5747, 289, 2817, 68, 43220, 19, 505, 68, 5747, 374, 204, 204, 264, 314, 36157, 275, 1137, 311, 838, 273, 19060, 1137, 204, 264, 19060, 68, 986, 289, 645, 19, 3535, 13, 1796, 13, 43220, 68, 5747, 602, 540, 846, 13, 43220, 68, 5747, 14, 338, 18937, 68, 5747, 204, 204, 264, 407, 19060, 68, 986, 204, 204, 204, 461, 838, 68, 2816, 68, 26665, 299, 13, 5719, 31, 8361, 17, 19060, 68, 986, 31, 645, 19, 766, 14, 393, 11036, 2567, 349, 299, 31, 204, 264, 320, 204, 264, 666, 273, 2817, 19060, 1014, 19, 204, 204, 264, 4435, 31, 204, 264, 1964, 322, 11690, 330, 334, 1964, 1014, 19, 204, 264, 19060, 68, 986, 322, 1123, 19, 766, 330, 334, 19060, 1137, 19, 204, 204, 264, 475, 31, 204, 264, 11036, 2567, 349, 299, 31, 334, 1966, 2817, 19060, 1014, 19, 204, 264, 320, 204, 264, 314, 666, 273, 2817, 19060, 1014, 204, 264, 2817, 68, 26665, 299, 289, 11036, 2567, 349, 299, 13, 5719, 17, 1216, 34, 21, 17, 1137, 12470, 34, 26665, 299, 68, 986, 14, 204, 204, 264, 407, 2817, 68, 26665, 299, 204, 204, 204, 461, 1807, 68, 26665, 299, 68, 5747, 13, 2816, 68, 26665, 299, 31, 11036, 2567, 349, 299, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 19060, 2347, 5825, 19, 204, 204, 264, 4435, 31, 204, 264, 2817, 68, 26665, 299, 322, 17305, 2567, 349, 299, 330, 334, 2817, 19060, 1014, 19, 204, 264, 320, 204, 264, 314, 3045, 275, 19060, 2347, 5825, 204, 264, 1513, 19, 1657, 13, 2816, 68, 26665, 299, 19, 505, 68, 5747, 2144, 1800, 1022, 2567, 349, 299, 9554, 551, 60, 24199, 1848, 1022, 71, 431, 204, 264, 1513, 19, 2896, 374, 204, 204, 204, 461, 1523, 68, 2569, 13, 2663, 68, 1657, 31, 1109, 289, 1078, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 1763, 19, 204, 204, 264, 4435, 31, 204, 264, 770, 68, 1657, 322, 2107, 330, 2266, 311, 1807, 275, 19060, 2347, 5825, 19, 1243, 311, 1078, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 437, 1964, 1014, 204, 268, 1964, 289, 838, 68, 5719, 13, 834, 68, 48920, 1613, 34, 17244, 17, 35001, 68, 31765, 34, 20257, 2169, 17, 1419, 68, 2124, 34, 22, 14, 204, 204, 268, 314, 666, 273, 2817, 18937, 1014, 204, 268, 2817, 68, 43220, 289, 838, 68, 2816, 68, 43220, 13, 5719, 17, 7497, 68, 4670, 34, 9333, 17, 2824, 68, 21072, 34, 1719, 14, 204, 204, 268, 314, 666, 273, 19060, 1137, 204, 268, 19060, 68, 986, 289, 838, 68, 26665, 299, 68, 986, 13, 2816, 68, 43220, 14, 204, 204, 268, 314, 666, 273, 2817, 19060, 1014, 204, 268, 2817, 68, 26665, 299, 289, 838, 68, 2816, 68, 26665, 299, 13, 5719, 17, 19060, 68, 986, 14, 204, 204, 268, 314, 763, 275, 19060, 2347, 204, 268, 19060, 68, 5747, 289, 2817, 68, 26665, 299, 19, 505, 68, 5747, 374, 204, 204, 268, 456, 374, 204, 268, 456, 499, 2567, 349, 299, 2347, 5825, 31, 388, 465, 394, 13, 26665, 299, 68, 5747, 602, 204, 204, 268, 314, 3045, 275, 19060, 2347, 5825, 397, 13112, 204, 268, 397, 770, 68, 1657, 31, 204, 305, 1807, 68, 26665, 299, 68, 5747, 13, 2816, 68, 26665, 299, 14, 204, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 314, 2466, 2548, 204, 264, 1523, 68, 2569, 13, 2663, 68, 1657, 34, 1021, 14, 204, 0, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4120, 532, 2557, 204, 204, 676, 6319, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 3777, 2927, 560, 273, 575, 523, 273, 1351, 19, 204, 204, 264, 1532, 31, 204, 268, 3777, 68, 492, 322, 325, 330, 334, 1068, 302, 275, 3777, 19, 204, 268, 6374, 322, 996, 330, 334, 6374, 800, 560, 275, 575, 322, 22, 18, 26, 789, 204, 268, 1966, 322, 2664, 330, 334, 1489, 329, 690, 275, 3777, 867, 1966, 19, 204, 268, 15536, 68, 6324, 322, 2107, 330, 2266, 275, 3777, 869, 1742, 15536, 19, 204, 268, 2799, 322, 2491, 330, 334, 575, 1415, 2927, 275, 3777, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 275, 3777, 353, 1465, 19, 204, 264, 320, 204, 204, 264, 850, 25521, 22668, 13, 1618, 19, 3937, 22668, 330, 204, 268, 320, 22668, 348, 275, 6374, 1242, 1279, 204, 268, 37486, 289, 368, 17, 379, 22, 12, 204, 268, 313, 25169, 289, 435, 17, 379, 23, 12, 204, 268, 14363, 18499, 289, 571, 17, 379, 24, 12, 204, 268, 472, 15076, 289, 681, 17, 379, 25, 12, 204, 268, 472, 13211, 289, 720, 17, 379, 26, 12, 204, 204, 264, 3777, 68, 492, 289, 1094, 19, 7320, 13, 1129, 68, 1205, 34, 5758, 14, 204, 264, 6374, 289, 1094, 19, 14192, 13, 204, 268, 846, 68, 5931, 34, 24, 17, 204, 268, 4048, 68, 10474, 34, 23, 17, 204, 268, 5426, 36055, 4352, 19, 876, 17, 3508, 19, 417, 14, 348, 3508, 292, 25521, 22668, 648, 204, 268, 1540, 34, 23728, 22668, 19, 10708, 19, 876, 204, 264, 1179, 204, 264, 1966, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 15536, 68, 6324, 289, 1094, 19, 10030, 13, 2305, 34, 1975, 14, 204, 264, 2799, 289, 1094, 19, 4483, 13, 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, 2557, 19, 10475, 68, 6520, 68, 9534, 17, 204, 268, 523, 68, 2756, 34, 1618, 19, 30270, 17, 204, 268, 3232, 68, 417, 833, 9483, 12, 204, 264, 1179, 204, 264, 1351, 289, 1094, 19, 4483, 13, 204, 268, 379, 7297, 19, 6902, 491, 204, 268, 523, 68, 2756, 34, 1618, 19, 30270, 17, 204, 268, 3232, 68, 417, 833, 9483, 12, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 6266, 273, 782, 2355, 302, 275, 3777, 1279, 204, 268, 407, 283, 1954, 327, 19, 4020, 19, 2574, 2867, 88, 3777, 523, 463, 327, 19, 2572, 19, 417, 2495, 204, 204, 676, 6319, 19327, 13, 13324, 330, 204, 264, 320, 204, 264, 332, 7852, 570, 348, 275, 6319, 570, 17, 9530, 273, 5549, 2013, 302, 275, 6943, 19, 204, 264, 320, 204, 204, 264, 850, 5694, 31, 204, 268, 7852, 289, 959, 204, 268, 2874, 68, 417, 289, 379, 13324, 17993, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 33973, 17993, 12, 204, 0, 461, 949, 68, 19835, 68, 6512, 13, 3474, 68, 876, 31, 421, 17, 771, 22, 31, 421, 17, 771, 23, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 9715, 4802, 7339, 2758, 329, 5538, 275, 1563, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 876, 322, 339, 330, 334, 1419, 700, 348, 6893, 19, 204, 268, 771, 22, 322, 339, 330, 334, 1043, 542, 348, 4998, 19, 204, 268, 771, 23, 322, 339, 330, 334, 1350, 542, 348, 4998, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 1198, 275, 1419, 700, 204, 264, 456, 13, 75, 7, 6238, 700, 31, 463, 3474, 68, 876, 743, 204, 204, 264, 314, 3055, 4802, 7339, 2758, 204, 264, 4998, 68, 1300, 289, 771, 22, 465, 771, 23, 204, 264, 11043, 68, 1300, 289, 771, 22, 338, 771, 23, 204, 264, 6177, 68, 1300, 289, 771, 22, 540, 771, 23, 204, 264, 4854, 68, 1300, 289, 771, 22, 802, 771, 23, 397, 771, 23, 2167, 500, 902, 388, 10219, 3281, 560, 2962, 7, 204, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 499, 29929, 15853, 2212, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 465, 463, 920, 23, 98, 289, 463, 24683, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 338, 463, 920, 23, 98, 289, 463, 37082, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 540, 463, 920, 23, 98, 289, 463, 20950, 68, 1300, 743, 204, 264, 456, 13, 75, 1954, 920, 22, 98, 802, 463, 920, 23, 98, 289, 463, 17529, 68, 1300, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 7339, 2758, 8294, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 1419, 68, 876, 289, 720, 204, 264, 771, 22, 289, 931, 204, 264, 771, 23, 289, 435, 204, 204, 264, 456, 499, 30605, 31, 11490, 19898, 15853, 431, 204, 264, 949, 68, 19835, 68, 6512, 13, 3474, 68, 876, 17, 771, 22, 17, 771, 23, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 3837, 6965, 2090, 1422, 529, 3536, 7993, 3237, 19, 382, 6356, 2280, 1475, 1873, 1025, 7490, 11056, 329, 1308, 273, 15497, 2585, 302, 848, 19, 204, 204, 1380, 368, 19, 3239, 6136, 204, 673, 3239, 6136, 353, 273, 2501, 302, 2457, 273, 1627, 302, 886, 1609, 523, 21092, 10939, 19, 1547, 9995, 302, 1792, 3416, 302, 886, 1376, 348, 4183, 17, 7654, 17, 521, 7365, 19, 204, 204, 1380, 435, 19, 7867, 15415, 7806, 302, 15169, 35844, 47364, 204, 673, 7867, 15415, 7806, 302, 273, 15169, 35844, 47364, 353, 275, 1066, 302, 275, 6393, 1462, 15415, 7806, 329, 275, 1864, 302, 275, 970, 12442, 322, 2723, 329, 5533, 789, 204, 204, 1380, 571, 19, 6393, 1462, 15415, 7806, 302, 15169, 35844, 47364, 204, 673, 6393, 1462, 15415, 7806, 302, 273, 15169, 35844, 47364, 353, 275, 3776, 1864, 16533, 275, 1913, 329, 5533, 6587, 19, 204, 204, 1380, 681, 19, 15169, 35844, 47364, 204, 38, 15169, 35844, 47364, 353, 273, 2327, 18, 11464, 2665, 7196, 560, 14228, 273, 13737, 6285, 302, 4960, 19, 1547, 869, 970, 5966, 329, 9951, 12442, 4851, 560, 273, 22946, 22805, 3776, 19, 204, 204, 1380, 720, 19, 30110, 40294, 204, 2021, 30110, 40294, 353, 273, 758, 496, 353, 1936, 311, 275, 2171, 758, 17, 440, 1236, 4372, 1842, 19, 204, 204, 1380, 887, 19, 650, 6457, 598, 4208, 17688, 12850, 204, 2021, 650, 6457, 598, 4208, 17688, 12850, 353, 273, 3302, 440, 970, 1936, 2902, 329, 437, 39042, 2746, 322, 20005, 1194, 4950, 4528, 789, 204, 204, 1380, 1168, 19, 18960, 3201, 204, 38, 18960, 3201, 353, 273, 2327, 18, 11464, 2665, 440, 6699, 13737, 6587, 17, 1273, 970, 4125, 302, 7283, 6587, 529, 5966, 329, 1936, 292, 1302, 19, 204, 204, 1380, 1132, 19, 7867, 15415, 7806, 302, 19664, 204, 673, 7867, 15415, 7806, 302, 273, 19664, 353, 275, 1066, 302, 275, 4549, 302, 830, 6699, 6587, 19, 4682, 830, 6587, 302, 273, 6871, 529, 1936, 17, 275, 2089, 348, 275, 7867, 15415, 7806, 302, 273, 19664, 353, 887, 70, 67, 23, 17, 1273, 379, 70, 12, 353, 275, 1277, 302, 1051, 1653, 302, 275, 6871, 19, 0, 658, 1687, 368, 31, 7173, 275, 800, 1844, 329, 275, 15233, 10134, 302, 275, 47924, 10134, 302, 3615, 13, 89, 14, 204, 673, 1844, 5628, 6154, 275, 15233, 10134, 302, 275, 47924, 10134, 302, 3615, 13, 89, 14, 329, 13377, 490, 440, 275, 722, 8744, 974, 275, 690, 18, 823, 48084, 4355, 302, 275, 15233, 3204, 19, 204, 204, 658, 1687, 435, 31, 20084, 275, 47924, 10134, 329, 1163, 7159, 311, 275, 800, 741, 204, 673, 47924, 10134, 302, 610, 13, 89, 14, 289, 3615, 13, 89, 14, 353, 469, 13, 89, 14, 289, 3615, 13, 89, 338, 5780, 20, 23, 659, 928, 618, 444, 8286, 448, 469, 13, 89, 14, 289, 322, 22, 20, 23, 14, 74, 6023, 79, 89, 338, 781, 3080, 20, 23, 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, 465, 322, 22, 20, 23, 14, 74, 7218, 79, 89, 465, 781, 3080, 20, 23, 789, 204, 204, 658, 1687, 571, 31, 1752, 275, 15233, 10134, 302, 469, 13, 89, 14, 204, 4931, 275, 15233, 10134, 3564, 17, 1358, 13, 13155, 14, 618, 444, 8286, 448, 1358, 13, 13155, 14, 289, 3457, 79, 3080, 30816, 13, 13155, 18, 22, 14, 465, 781, 3080, 30816, 13, 13155, 16, 22, 3917, 1273, 21845, 4504, 275, 3311, 25604, 6189, 741, 19, 204, 204, 658, 1687, 681, 31, 3291, 275, 690, 18, 823, 48084, 4355, 302, 275, 15233, 10134, 204, 673, 690, 18, 823, 48084, 4355, 3584, 496, 472, 96, 93, 13, 89, 338, 265, 21, 4150, 289, 1504, 13, 13155, 14, 74, 7218, 79, 38534, 21, 659, 1273, 1504, 13, 13155, 14, 353, 275, 15233, 10134, 302, 610, 13, 89, 789, 23395, 808, 4355, 311, 610, 13, 89, 338, 5780, 20, 23, 659, 572, 636, 1358, 13, 13155, 14, 289, 1504, 13, 13155, 14, 74, 7218, 79, 13155, 3080, 20, 23, 789, 204, 204, 658, 1687, 720, 31, 4938, 1358, 13, 13155, 14, 974, 275, 690, 18, 823, 48084, 4355, 204, 8758, 1504, 13, 13155, 14, 289, 5780, 30816, 13, 13155, 18, 22, 14, 465, 5780, 30816, 13, 13155, 16, 22, 14, 1025, 275, 1581, 17, 572, 636, 1358, 13, 13155, 14, 289, 322, 3080, 30816, 13, 13155, 18, 22, 14, 465, 5780, 30816, 13, 13155, 16, 22, 602, 74, 7218, 79, 13155, 3080, 20, 23, 789, 204, 204, 658, 1687, 887, 31, 8730, 275, 2231, 348, 1358, 13, 13155, 14, 974, 275, 4355, 302, 275, 3311, 25604, 6189, 741, 204, 673, 4355, 3584, 496, 283, 13, 89, 14, 30816, 13, 89, 14, 289, 283, 13, 21, 14, 30816, 13, 89, 789, 23395, 808, 4355, 17, 572, 636, 1358, 13, 13155, 14, 289, 5780, 30816, 13, 13155, 18, 22, 14, 74, 7218, 79, 13, 22, 14, 3080, 20, 23, 14, 465, 5780, 30816, 13, 13155, 16, 22, 14, 74, 7218, 79, 2422, 22, 14, 3080, 20, 23, 14, 289, 338, 79, 3080, 30816, 13, 13155, 18, 22, 14, 465, 781, 3080, 30816, 13, 13155, 16, 22, 789, 204, 204, 673, 2423, 2073, 353, 31, 1743, 7851, 11775, 79, 65, 1460, 688, 4336, 3453, 11065, 18, 22, 14040, 79, 65, 1460, 688, 4336, 3453, 11065, 16, 22, 18016, 0, 647, 1127, 204, 204, 531, 6934, 19, 750, 68, 22235, 19, 78, 750, 68, 22235, 68, 8380, 532, 3746, 2687, 17, 382, 13656, 26911, 7718, 204, 204, 204, 676, 7759, 26911, 17155, 31, 204, 264, 320, 204, 264, 332, 2548, 496, 32770, 2159, 1609, 523, 575, 537, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 2548, 440, 437, 1392, 575, 537, 3511, 19, 204, 268, 320, 204, 268, 370, 806, 816, 68, 768, 68, 5383, 289, 3026, 204, 204, 264, 436, 1523, 13, 327, 17, 1142, 68, 22235, 31, 382, 13656, 26911, 7718, 17, 771, 68, 2489, 31, 421, 289, 931, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8209, 275, 1142, 4497, 2548, 19, 204, 204, 268, 1164, 2394, 1142, 68, 22235, 31, 334, 1142, 14888, 9381, 19, 204, 268, 1164, 2394, 771, 68, 2489, 31, 334, 542, 302, 2159, 311, 2885, 19, 204, 268, 320, 204, 268, 314, 3740, 1419, 3176, 311, 275, 575, 204, 268, 456, 21431, 2101, 1429, 1068, 311, 636, 6911, 2152, 12962, 204, 822, 268, 314, 1606, 1419, 575, 537, 204, 268, 575, 68, 768, 289, 370, 806, 976, 68, 816, 68, 768, 374, 204, 268, 370, 806, 816, 68, 768, 68, 5383, 289, 575, 68, 768, 204, 822, 268, 314, 17610, 275, 1142, 14888, 440, 275, 1419, 575, 537, 204, 268, 1142, 68, 22235, 19, 7571, 13, 816, 68, 768, 14, 204, 204, 268, 314, 9799, 2885, 2159, 3119, 275, 2548, 353, 32666, 204, 268, 1335, 959, 31, 204, 305, 810, 31, 204, 485, 314, 3740, 275, 1913, 392, 3908, 2159, 204, 485, 370, 806, 2994, 68, 10609, 68, 2489, 13, 750, 68, 22235, 19, 2723, 68, 83, 68, 2715, 13, 920, 68, 2489, 602, 204, 7933, 485, 314, 1606, 275, 1682, 575, 537, 204, 485, 575, 68, 768, 289, 370, 806, 976, 68, 816, 68, 768, 374, 204, 485, 370, 806, 816, 68, 768, 68, 5383, 1412, 575, 68, 768, 204, 7933, 485, 314, 17610, 275, 1142, 14888, 440, 275, 717, 575, 537, 204, 485, 1142, 68, 22235, 19, 7571, 13, 816, 68, 768, 14, 204, 305, 827, 16797, 31, 204, 485, 314, 1426, 2548, 978, 18266, 204, 485, 456, 3273, 83, 31480, 2548, 1280, 204, 485, 2280, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 904, 2805, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 264, 436, 906, 2994, 68, 10609, 68, 2489, 13, 327, 17, 3908, 68, 2489, 31, 458, 64, 2644, 64, 996, 17, 394, 4097, 393, 443, 31, 204, 268, 320, 204, 268, 10616, 275, 3908, 2159, 19, 204, 204, 268, 1164, 2394, 3908, 68, 2489, 31, 332, 458, 302, 5760, 1174, 275, 2634, 329, 1142, 19, 204, 268, 320, 204, 268, 314, 9886, 275, 6474, 204, 268, 1127, 19, 4038, 499, 4621, 431, 204, 822, 268, 314, 3740, 275, 575, 537, 3511, 204, 268, 456, 13, 75, 1954, 327, 806, 816, 68, 768, 68, 5383, 98, 5606, 431, 204, 268, 456, 20840, 204, 822, 268, 314, 3740, 275, 3908, 2159, 204, 268, 348, 2634, 17, 1142, 292, 3908, 68, 2489, 31, 204, 305, 456, 13, 75, 1954, 7709, 4567, 24, 75, 2277, 89, 96, 750, 743, 204, 268, 456, 20840, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 976, 68, 816, 68, 768, 374, 393, 394, 31, 204, 268, 320, 204, 268, 4143, 575, 537, 19, 204, 204, 268, 1164, 3309, 31, 334, 575, 537, 19, 204, 268, 320, 204, 268, 407, 537, 41572, 2810, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 1142, 14888, 2548, 329, 1523, 490, 440, 275, 34385, 23, 3403, 570, 204, 264, 2548, 289, 7759, 26911, 17155, 374, 204, 264, 2548, 19, 1777, 13, 46, 13656, 0 ]

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

[ 0, 26911, 7718, 1528, 1510, 68, 531, 68, 417, 13, 1655, 2687, 19, 44, 6480, 23, 68, 49, 38790, 659, 1607, 14, 204, 0, 461, 636, 68, 804, 68, 2059, 68, 768, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 537, 497, 275, 575, 329, 2584, 275, 542, 302, 683, 2910, 17, 716, 264, 275, 542, 302, 1842, 292, 848, 683, 1322, 17, 275, 1419, 1066, 17, 329, 275, 5692, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 716, 12771, 275, 1419, 1066, 17, 329, 275, 5692, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 329, 275, 1419, 1066, 204, 264, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 289, 2304, 13, 339, 17, 537, 499, 2101, 275, 542, 302, 683, 2910, 17, 275, 542, 302, 1842, 17, 329, 275, 1419, 1066, 31, 6165, 1590, 1447, 204, 615, 264, 314, 763, 275, 5692, 204, 264, 5692, 289, 458, 13, 1608, 13, 339, 17, 537, 499, 2101, 275, 5692, 31, 6165, 1590, 5887, 204, 615, 264, 407, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 204, 204, 461, 949, 68, 16130, 68, 1303, 13, 3337, 31, 458, 17, 5692, 31, 458, 17, 1419, 68, 1303, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 275, 4009, 302, 3310, 1842, 329, 5692, 17, 716, 264, 1675, 9321, 275, 1419, 1066, 19, 204, 204, 264, 457, 31, 204, 268, 1842, 322, 655, 330, 332, 458, 302, 1842, 19, 204, 268, 5692, 322, 655, 330, 332, 458, 302, 5692, 19, 204, 268, 1419, 68, 1303, 322, 339, 330, 334, 1419, 1066, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 9977, 1066, 19, 204, 264, 320, 204, 264, 314, 888, 275, 9977, 1066, 974, 273, 4651, 2231, 204, 264, 407, 1419, 68, 1303, 465, 1066, 13, 1849, 540, 5514, 348, 1103, 17, 5514, 292, 4337, 13, 3337, 17, 5692, 602, 204, 204, 461, 1040, 68, 6418, 68, 16130, 68, 10089, 13, 920, 68, 804, 68, 3871, 31, 421, 17, 771, 68, 3337, 31, 421, 17, 1419, 68, 1303, 31, 421, 17, 5692, 31, 458, 14, 393, 421, 31, 204, 264, 320, 204, 264, 10607, 275, 542, 302, 683, 2910, 1273, 275, 3392, 9977, 1066, 353, 2140, 19, 204, 204, 264, 457, 31, 204, 268, 771, 68, 804, 68, 3871, 322, 339, 330, 334, 542, 302, 683, 2910, 19, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 848, 683, 1322, 19, 204, 268, 1419, 68, 1303, 322, 339, 330, 334, 1419, 1066, 19, 204, 268, 5692, 322, 655, 330, 332, 458, 302, 5692, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 542, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 19, 204, 264, 320, 204, 264, 314, 977, 273, 4328, 348, 2140, 9977, 8598, 204, 264, 2140, 68, 1303, 68, 765, 289, 500, 204, 615, 264, 314, 1861, 1048, 848, 683, 1322, 204, 264, 348, 906, 292, 933, 13, 920, 68, 804, 68, 3871, 330, 204, 268, 314, 763, 275, 1842, 348, 275, 790, 683, 1322, 204, 268, 1842, 289, 458, 13, 1608, 13, 339, 17, 537, 13, 75, 7, 2101, 463, 920, 68, 3337, 98, 1842, 348, 683, 1322, 463, 45343, 22, 2829, 6165, 1590, 5887, 204, 822, 268, 314, 888, 275, 9977, 1066, 348, 275, 790, 683, 1322, 204, 268, 9977, 68, 1303, 289, 949, 68, 16130, 68, 1303, 13, 3337, 17, 5692, 17, 1419, 68, 1303, 14, 204, 822, 268, 314, 778, 397, 275, 9977, 1066, 353, 2140, 204, 268, 397, 9977, 68, 1303, 1323, 500, 31, 204, 305, 314, 7415, 275, 4328, 397, 275, 9977, 1066, 353, 2140, 204, 305, 2140, 68, 1303, 68, 765, 1412, 368, 204, 615, 264, 407, 2140, 68, 1303, 68, 765, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 683, 1322, 537, 204, 264, 771, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 289, 636, 68, 804, 68, 2059, 68, 768, 374, 204, 615, 264, 314, 3398, 275, 542, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 204, 264, 2140, 68, 1303, 68, 765, 289, 1040, 68, 6418, 68, 16130, 68, 10089, 13, 920, 68, 804, 68, 3871, 17, 771, 68, 3337, 17, 1419, 68, 1303, 17, 5692, 14, 204, 615, 264, 314, 1198, 275, 722, 204, 264, 456, 13, 75, 7, 4290, 302, 683, 2910, 440, 273, 2140, 9977, 1066, 31, 463, 6418, 68, 1303, 68, 765, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5776, 20, 10847, 226, 7409, 984, 241, 984, 241, 226, 10654, 27, 2903, 408, 6969, 18264, 4250, 13733, 1951, 18846, 568, 16607, 408, 6969, 18264, 5851, 28444, 36995, 4250, 21558, 408, 30533, 41912, 21424, 9959, 9518, 990, 2675, 3476, 8464, 6553, 921, 12175, 1390, 408, 5742, 3541, 27202, 18633, 3013, 31264, 7859, 45111, 6155, 408, 6128, 4525, 2638, 11095, 6689, 2615, 8188, 9058, 6155, 2402, 2807, 26334, 35487, 10272, 568, 10847, 34817, 408, 10379, 6969, 18264, 7363, 36995, 4250, 21558, 22131, 854, 9355, 4250, 4241, 24066, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 408, 33213, 990, 10088, 12358, 258, 1001, 921, 7509, 12326, 1822, 3854, 1390, 33239, 408, 26695, 30, 2903, 23, 2544, 568, 226, 41912, 21424, 990, 2675, 3476, 1001, 226, 6969, 18264, 5851, 3944, 36995, 4250, 21558, 990, 1122, 113, 1390, 1001, 1622, 16607, 6969, 18264, 5851, 4250, 1111, 24371, 16607, 1527, 5851, 3944, 27769, 8766, 17864, 3788, 5485, 24371, 1438, 41912, 1886, 6325, 3476, 1111, 1001, 12434, 16607, 408, 6969, 18264, 7678, 36995, 2773, 408, 20319, 12115, 1946, 4228, 7980, 241, 10776, 460, 1438, 40368, 408, 23337, 6301, 36327, 408, 41912, 27489, 408, 3675, 10272, 1490, 1116, 2338, 30533, 49080, 13375, 1002, 35703, 7174, 408, 1970, 6128, 35136, 2321, 3068, 1390, 12175, 17554, 460, 37008, 1886, 0 ]

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

[ 0, 10513, 38967, 1111, 408, 36995, 4250, 21558, 16526, 6693, 6969, 18264, 21558, 460, 990, 2453, 16460, 7473, 8464, 5789, 34249, 408, 10847, 21164, 40055, 45264, 47384, 42875, 3784, 6841, 408, 7533, 6969, 18264, 21874, 7363, 36995, 4250, 21558, 29429, 5661, 568, 4635, 34249, 24, 1398, 2188, 1789, 408, 6969, 18264, 26796, 40223, 1189, 3787, 19, 26, 17145, 568, 45264, 5531, 3903, 34084, 408, 29, 2903, 4635, 2544, 41912, 4477, 16548, 4079, 1189, 2985, 408, 21424, 24241, 1189, 26, 4079, 408, 21424, 16161, 1189, 990, 2675, 3476, 8464, 23717, 20814, 2148, 1189, 990, 20814, 6681, 5759, 13004, 21424, 1189, 990, 3976, 19083, 8464, 226, 723, 126, 12598, 4837, 7658, 28576, 226, 9355, 4250, 4241, 24066, 854, 990, 17760, 11093, 229, 43413, 5840, 1001, 226, 40055, 45264, 47384, 42875, 3784, 6841, 45264, 3456, 33568, 12088, 14902, 7473, 8075, 408, 10379, 6969, 18264, 7363, 36995, 4250, 21558, 22131, 854, 9355, 4250, 4241, 24066, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 568, 226, 9355, 4250, 4241, 24066, 26334, 7931, 921, 15626, 1999, 1227, 4136, 4500, 2371, 408, 21874, 5385, 990, 30452, 1001, 23394, 7509, 12326, 1822, 3854, 14281, 4411, 12703, 16873, 1773, 6290, 1527, 2831, 2014, 4900, 408, 2570, 4239, 6290, 460, 9531, 854, 23455, 33495, 408, 8936, 31026, 854, 6969, 18264, 6540, 14902, 7473, 2853, 408, 9355, 4250, 4241, 24066, 9189, 1377, 23230, 408, 39338, 32171, 1251, 568, 4747, 2773, 7780, 10774, 19267, 408, 40223, 44281, 4129, 1822, 3058, 12598, 10776, 7780, 10774, 45034, 408, 40223, 44281, 11219, 408, 7466, 1456, 10434, 723, 126, 12598, 4837, 7658, 27042, 16038, 568, 226, 3167, 19908, 5531, 3903, 10222, 408, 18119, 9355, 4250, 4241, 24066, 2499, 990, 10088, 12358, 258, 1001, 921, 7509, 12326, 1822, 3854, 1390, 33239, 408, 26695, 30, 2903, 23, 2544, 568, 35733, 408, 6969, 18264, 460, 36995, 4250, 21558, 2499, 10852, 9959, 1524, 30, 46587, 568, 226, 9459, 24340, 1984, 6613, 14902, 13500, 15572, 204, 0, 8, 2384, 68, 2472, 68, 2754, 19, 948, 204, 204, 676, 7050, 11626, 31, 204, 264, 320, 204, 264, 2646, 273, 2384, 677, 2434, 292, 437, 12130, 19, 204, 204, 264, 1532, 31, 204, 268, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 268, 588, 322, 325, 330, 4014, 302, 275, 2384, 19, 204, 268, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 268, 3397, 22, 68, 2472, 322, 339, 330, 5979, 348, 3397, 368, 19, 204, 268, 3397, 23, 68, 2472, 322, 339, 330, 5979, 348, 3397, 435, 19, 204, 268, 3397, 24, 68, 2472, 322, 339, 330, 5979, 348, 3397, 571, 19, 204, 268, 5050, 322, 339, 330, 37307, 5050, 302, 275, 2384, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2384, 68, 359, 31, 421, 17, 588, 31, 394, 17, 12130, 68, 1190, 31, 421, 17, 3397, 22, 68, 2472, 31, 421, 17, 3397, 23, 68, 2472, 31, 421, 17, 3397, 24, 68, 2472, 31, 421, 330, 204, 268, 320, 204, 268, 1865, 273, 7050, 11626, 726, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 588, 322, 325, 330, 4014, 302, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 305, 3397, 22, 68, 2472, 322, 339, 330, 5979, 348, 3397, 368, 19, 204, 305, 3397, 23, 68, 2472, 322, 339, 330, 5979, 348, 3397, 435, 19, 204, 305, 3397, 24, 68, 2472, 322, 339, 330, 5979, 348, 3397, 571, 19, 204, 268, 320, 204, 268, 370, 19, 4865, 68, 359, 289, 2384, 68, 359, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 37973, 68, 1190, 289, 12130, 68, 1190, 204, 268, 370, 19, 6846, 22, 68, 2472, 289, 3397, 22, 68, 2472, 204, 268, 370, 19, 6846, 23, 68, 2472, 289, 3397, 23, 68, 2472, 204, 268, 370, 19, 6846, 24, 68, 2472, 289, 3397, 24, 68, 2472, 204, 268, 370, 19, 9234, 289, 370, 19, 3446, 68, 9234, 374, 204, 204, 264, 436, 949, 68, 9234, 13, 327, 14, 393, 421, 31, 204, 268, 320, 204, 268, 3989, 275, 8926, 5050, 302, 275, 2384, 19, 204, 204, 268, 475, 31, 204, 305, 421, 31, 37307, 5050, 302, 275, 2384, 19, 204, 268, 320, 204, 268, 314, 888, 275, 1113, 9035, 204, 268, 1113, 68, 8063, 289, 370, 19, 6846, 22, 68, 2472, 465, 370, 19, 6846, 23, 68, 2472, 465, 370, 19, 6846, 24, 68, 2472, 204, 822, 268, 314, 888, 275, 5050, 204, 268, 397, 1113, 68, 8063, 564, 500, 31, 204, 305, 407, 500, 204, 268, 902, 31, 204, 305, 407, 322, 2609, 68, 8063, 802, 6562, 14, 540, 1607, 204, 204, 204, 676, 7050, 11626, 3313, 31, 204, 264, 320, 204, 264, 16318, 273, 3599, 302, 2384, 9035, 19, 204, 204, 264, 1532, 31, 204, 268, 2384, 68, 8063, 322, 873, 330, 6881, 302, 2384, 9035, 1273, 275, 896, 353, 273, 927, 302, 2384, 68, 359, 329, 12130, 68, 1190, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 273, 7050, 11626, 3313, 726, 19, 204, 268, 320, 204, 268, 370, 19, 4865, 68, 8063, 289, 2087, 204, 204, 264, 436, 881, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 2472, 31, 7050, 11626, 330, 204, 268, 320, 204, 268, 5276, 273, 2384, 2434, 311, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 2472, 322, 11635, 11626, 330, 7050, 11626, 726, 311, 881, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2861, 2560, 204, 268, 397, 322, 4865, 68, 2472, 19, 4865, 68, 359, 17, 2384, 68, 2472, 19, 37973, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 456, 499, 11635, 2434, 2861, 2560, 1280, 204, 268, 902, 31, 204, 305, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 2472, 19, 4865, 68, 359, 17, 2384, 68, 2472, 19, 37973, 68, 1190, 2395, 289, 2384, 68, 2472, 204, 204, 264, 436, 636, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 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, 12130, 68, 1190, 31, 421, 14, 393, 7050, 11626, 31, 204, 268, 320, 204, 268, 4071, 273, 2384, 2434, 497, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 204, 268, 475, 31, 204, 305, 7050, 11626, 31, 7050, 11626, 726, 397, 1193, 17, 2130, 443, 19, 204, 268, 320, 204, 268, 407, 370, 19, 4865, 68, 8063, 19, 505, 1802, 4865, 68, 359, 17, 12130, 68, 1190, 602, 204, 204, 264, 436, 1395, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 17, 12130, 68, 1190, 31, 421, 17, 3397, 22, 68, 2472, 31, 421, 17, 3397, 23, 68, 2472, 31, 421, 17, 3397, 24, 68, 2472, 31, 421, 330, 204, 268, 320, 204, 268, 5307, 273, 2384, 2434, 292, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 305, 3397, 22, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 368, 19, 204, 305, 3397, 23, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 435, 19, 204, 305, 3397, 24, 68, 2472, 322, 339, 330, 2991, 2434, 348, 3397, 571, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2560, 204, 268, 397, 322, 4865, 68, 359, 17, 12130, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 2384, 68, 2472, 289, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 359, 17, 12130, 68, 1190, 2395, 204, 305, 2384, 68, 2472, 19, 6846, 22, 68, 2472, 289, 3397, 22, 68, 2472, 204, 305, 2384, 68, 2472, 19, 6846, 23, 68, 2472, 289, 3397, 23, 68, 2472, 204, 305, 2384, 68, 2472, 19, 6846, 24, 68, 2472, 289, 3397, 24, 68, 2472, 204, 305, 2384, 68, 2472, 19, 9234, 289, 2384, 68, 2472, 19, 3446, 68, 9234, 374, 204, 268, 902, 31, 204, 305, 456, 499, 11635, 2434, 1583, 508, 1337, 1280, 204, 204, 264, 436, 4032, 68, 4865, 68, 2472, 13, 327, 17, 2384, 68, 359, 31, 421, 17, 12130, 68, 1190, 31, 421, 330, 204, 268, 320, 204, 268, 11183, 273, 2384, 2434, 497, 275, 3599, 19, 204, 204, 268, 457, 31, 204, 305, 2384, 68, 359, 322, 339, 330, 6581, 4634, 348, 275, 2384, 19, 204, 305, 12130, 68, 1190, 322, 339, 330, 6581, 4634, 348, 275, 12130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2384, 2434, 2560, 204, 268, 397, 322, 4865, 68, 359, 17, 12130, 68, 1190, 14, 292, 370, 19, 4865, 68, 8063, 31, 204, 305, 6924, 370, 19, 4865, 68, 8063, 8989, 4865, 68, 359, 17, 12130, 68, 1190, 2395, 204, 268, 902, 31, 204, 305, 456, 499, 11635, 2434, 1583, 508, 1337, 1280, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 7050, 11626, 3313, 726, 204, 264, 2384, 68, 2472, 68, 2754, 289, 7050, 11626, 3313, 374, 204, 204, 264, 314, 666, 7050, 11626, 2828, 204, 264, 2384, 68, 2472, 22, 289, 7050, 11626, 13, 22, 17, 388, 6192, 7358, 528, 368, 17, 5074, 17, 4950, 17, 6787, 14, 204, 264, 2384, 68, 2472, 23, 289, 7050, 11626, 13, 23, 17, 388, 14993, 7358, 528, 368, 17, 4950, 17, 5074, 17, 4950, 14, 204, 204, 264, 314, 1255, 2384, 9035, 311, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 826, 68, 4865, 68, 2472, 13, 4865, 68, 2472, 22, 14, 204, 264, 2384, 68, 2472, 68, 2754, 19, 826, 68, 4865, 68, 2472, 13, 4865, 68, 2472, 23, 14, 204, 204, 264, 314, 4491, 273, 2384, 2434, 497, 275, 3599, 204, 264, 8781, 68, 4865, 68, 2472, 289, 2384, 68, 2472, 68, 2754, 19, 505, 68, 4865, 68, 2472, 13, 22, 17, 368, 14, 204, 264, 397, 8781, 68, 4865, 68, 2472, 31, 204, 268, 456, 13, 75, 7, 11635, 1222, 31, 463, 22679, 68, 4865, 68, 2472, 19, 4865, 68, 359, 743, 204, 268, 456, 13, 75, 7, 2687, 31, 463, 22679, 68, 4865, 68, 2472, 19, 417, 743, 204, 268, 456, 13, 75, 7, 5039, 17549, 3239, 31, 463, 22679, 68, 4865, 68, 2472, 19, 37973, 68, 1190, 743, 204, 268, 456, 13, 75, 7, 16920, 368, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 22, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 16920, 435, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 23, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 16920, 571, 5979, 31, 463, 22679, 68, 4865, 68, 2472, 19, 6846, 24, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 28246, 31, 463, 22679, 68, 4865, 68, 2472, 19, 9234, 28131, 204, 204, 264, 314, 1716, 273, 2384, 2434, 292, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 2045, 68, 4865, 68, 2472, 13, 22, 17, 368, 17, 12961, 17, 10787, 17, 7776, 14, 204, 204, 264, 314, 4491, 275, 2908, 2384, 2434, 497, 275, 3599, 204, 264, 2908, 68, 4865, 68, 2472, 289, 2384, 68, 2472, 68, 2754, 19, 505, 68, 4865, 68, 2472, 13, 22, 17, 368, 14, 204, 264, 397, 2908, 68, 4865, 68, 2472, 31, 204, 268, 456, 13, 75, 7, 10510, 7050, 1222, 31, 463, 8107, 68, 4865, 68, 2472, 19, 4865, 68, 359, 743, 204, 268, 456, 13, 75, 7, 10510, 4014, 31, 463, 8107, 68, 4865, 68, 2472, 19, 417, 743, 204, 268, 456, 13, 75, 7, 10510, 23256, 3239, 31, 463, 8107, 68, 4865, 68, 2472, 19, 37973, 68, 1190, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 368, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 22, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 435, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 23, 68, 2472, 743, 204, 268, 456, 13, 75, 7, 10510, 20805, 571, 5979, 31, 463, 8107, 68, 4865, 68, 2472, 19, 6846, 24, 68, 2472, 743, 204, 268, 456, 13, 75, 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, 10510, 21491, 31, 463, 8107, 68, 4865, 68, 2472, 19, 9234, 28131, 204, 204, 264, 314, 6117, 273, 2384, 2434, 497, 275, 3599, 204, 264, 2384, 68, 2472, 68, 2754, 19, 2756, 68, 4865, 68, 2472, 13, 23, 17, 368, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4390, 3600, 6500, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 5888, 19, 1618, 532, 16949, 204, 531, 1332, 375, 539, 19, 1618, 19, 2572, 532, 5310, 204, 204, 676, 2221, 43, 33156, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 575, 677, 10551, 1351, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 27703, 330, 334, 575, 1415, 6972, 2197, 275, 1351, 19, 204, 268, 1351, 322, 6902, 330, 334, 1351, 496, 867, 6972, 2197, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 332, 782, 2355, 302, 275, 575, 677, 1692, 19, 204, 264, 320, 204, 264, 575, 289, 1094, 19, 4483, 13, 27703, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 20037, 68, 7297, 534, 204, 264, 1351, 289, 1094, 19, 4483, 13, 6902, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 16183, 2197, 68, 1424, 534, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 314, 455, 275, 1692, 302, 275, 575, 1415, 6972, 2197, 275, 1351, 204, 268, 407, 370, 19, 816, 19, 2302, 204, 204, 264, 850, 5694, 31, 204, 268, 314, 5694, 850, 348, 2221, 43, 33156, 570, 204, 268, 2874, 68, 417, 289, 379, 43, 33156, 12, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 43, 5667, 3379, 12, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 816, 68, 16183, 3379, 13, 4621, 17, 575, 31, 16949, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 4009, 6972, 2197, 560, 273, 800, 575, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 6738, 38627, 529, 311, 444, 8781, 19, 204, 204, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 4009, 6972, 2197, 560, 275, 575, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 3232, 68, 417, 311, 636, 275, 10551, 4009, 348, 275, 800, 575, 204, 268, 407, 575, 19, 20037, 68, 7297, 19, 668, 374, 204, 204, 264, 1642, 6649, 204, 264, 436, 881, 68, 20037, 13, 4621, 17, 575, 31, 16949, 17, 1351, 31, 5310, 14, 393, 379, 2491, 43, 33156, 597, 204, 268, 320, 204, 268, 5276, 273, 1351, 311, 273, 575, 677, 38627, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 1415, 11237, 311, 10551, 275, 1351, 19, 204, 305, 1351, 322, 6902, 330, 334, 1351, 311, 444, 6972, 2197, 19, 204, 204, 268, 475, 31, 204, 305, 2221, 43, 33156, 31, 334, 9932, 1966, 10551, 1014, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 10551, 1014, 329, 2106, 490, 311, 275, 1104, 204, 268, 10551, 17, 906, 289, 4963, 19, 2856, 19, 505, 68, 276, 68, 1510, 13, 816, 34, 816, 17, 1351, 34, 2572, 14, 204, 268, 407, 10551, 204, 204, 264, 1642, 6649, 204, 264, 436, 3142, 68, 20037, 13, 4621, 17, 575, 31, 16949, 17, 1351, 31, 5310, 14, 393, 443, 31, 204, 268, 320, 204, 268, 8847, 273, 1351, 497, 273, 575, 677, 38627, 19, 204, 204, 268, 457, 31, 204, 305, 575, 322, 27703, 330, 334, 575, 1415, 11237, 311, 794, 20037, 275, 1351, 19, 204, 305, 1351, 322, 6902, 330, 334, 1351, 311, 444, 794, 16183, 2197, 19, 204, 268, 320, 204, 268, 314, 1974, 275, 3232, 68, 417, 311, 636, 275, 10551, 1014, 329, 4032, 490, 204, 268, 4963, 19, 2856, 19, 2741, 13, 816, 34, 816, 17, 1351, 34, 2572, 789, 2756, 374, 204, 0, 647, 2164, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 3752, 68, 8670, 68, 481, 13, 3366, 68, 900, 74, 359, 31, 421, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 11244, 275, 790, 5583, 424, 348, 273, 800, 2852, 497, 275, 5694, 22869, 1893, 19, 204, 204, 264, 457, 31, 204, 268, 2852, 68, 900, 74, 359, 322, 339, 330, 334, 595, 27194, 1701, 302, 275, 2852, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 2084, 958, 497, 275, 1893, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 5583, 68, 2005, 289, 283, 12, 3189, 1963, 4537, 19, 6656, 8670, 19, 1453, 20, 2005, 20, 3366, 4235, 3366, 68, 900, 74, 359, 2867, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 8670, 68, 2005, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 407, 958, 19, 1775, 374, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 10775, 5583, 424, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 461, 1813, 68, 3366, 13, 2120, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 2852, 560, 1484, 329, 2584, 1163, 595, 27194, 1701, 19, 204, 204, 264, 457, 31, 204, 268, 1484, 322, 325, 330, 334, 2852, 1484, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 595, 27194, 1701, 302, 275, 2852, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 2852, 68, 1803, 68, 2005, 289, 283, 12, 3189, 1963, 4537, 19, 6656, 8670, 19, 1453, 20, 2005, 20, 3366, 20, 1803, 24605, 2120, 2508, 2120, 2867, 204, 204, 264, 810, 31, 204, 268, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 268, 958, 289, 2164, 19, 505, 13, 3366, 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, 1803, 68, 2005, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 268, 314, 455, 275, 595, 27194, 1701, 302, 275, 1043, 722, 204, 268, 407, 958, 19, 1775, 8083, 21, 6690, 900, 74, 359, 839, 204, 264, 827, 2164, 19, 6866, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 14223, 348, 2852, 31, 463, 74, 743, 204, 268, 407, 443, 204, 264, 827, 9394, 31, 204, 268, 314, 2175, 275, 908, 329, 407, 443, 397, 1236, 1563, 529, 1193, 204, 268, 1361, 19, 718, 13, 75, 7, 3882, 1563, 1193, 348, 2852, 1484, 31, 463, 2120, 743, 204, 268, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 314, 6579, 11343, 5583, 424, 204, 264, 3799, 12508, 68, 900, 74, 359, 289, 24908, 26, 45416, 204, 264, 3799, 12508, 68, 8670, 289, 3752, 68, 8670, 68, 481, 13, 81, 10136, 68, 900, 74, 359, 14, 204, 264, 397, 3799, 12508, 68, 8670, 31, 204, 268, 314, 1198, 275, 37200, 690, 329, 22494, 204, 268, 456, 13, 75, 7, 32618, 37200, 690, 31, 463, 81, 10136, 68, 8670, 736, 19655, 68, 574, 9436, 204, 268, 456, 13, 75, 7, 32618, 22494, 31, 463, 81, 10136, 68, 8670, 736, 495, 26463, 756, 68, 8670, 6970, 21, 6690, 22642, 9436, 204, 204, 264, 314, 6994, 348, 30819, 29200, 329, 3752, 1163, 5583, 424, 204, 264, 373, 965, 68, 80, 965, 68, 2120, 289, 379, 45, 965, 29200, 12, 204, 264, 373, 965, 68, 80, 965, 68, 900, 74, 359, 289, 1813, 68, 3366, 13, 77, 965, 68, 80, 965, 68, 2120, 14, 204, 264, 397, 373, 965, 68, 80, 965, 68, 900, 74, 359, 31, 204, 268, 373, 965, 68, 80, 965, 68, 8670, 289, 3752, 68, 8670, 68, 481, 13, 77, 965, 68, 80, 965, 68, 900, 74, 359, 14, 204, 268, 397, 373, 965, 68, 80, 965, 68, 8670, 31, 204, 305, 314, 1198, 275, 37200, 690, 329, 22494, 204, 305, 456, 13, 75, 7, 45, 965, 29200, 37200, 690, 31, 463, 77, 965, 68, 80, 965, 68, 8670, 736, 19655, 68, 574, 9436, 204, 305, 456, 13, 75, 7, 45, 965, 29200, 22494, 31, 463, 77, 965, 68, 80, 965, 68, 8670, 736, 495, 26463, 756, 68, 8670, 6970, 21, 6690, 22642, 9436, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 38, 13708, 353, 273, 9902, 2665, 496, 618, 444, 4310, 292, 4109, 6542, 18655, 17, 2864, 10781, 2817, 17, 25348, 5685, 17, 329, 2450, 5685, 19, 204, 204, 1380, 47151, 292, 10781, 11036, 204, 204, 837, 10781, 2817, 17, 273, 13708, 353, 273, 758, 302, 4315, 18, 2604, 41705, 1070, 497, 273, 917, 3250, 275, 4678, 19, 334, 8042, 302, 275, 13708, 9995, 302, 4315, 18, 2604, 3250, 17065, 17, 928, 529, 1085, 302, 273, 378, 787, 3776, 19, 334, 6907, 302, 275, 13708, 440, 273, 4315, 18, 2816, 1174, 275, 4678, 329, 17173, 560, 273, 6258, 508, 12056, 1924, 275, 4678, 353, 1425, 3250, 273, 13708, 19, 592, 808, 1322, 17, 275, 1085, 302, 275, 6258, 6204, 275, 378, 787, 3776, 353, 3250, 275, 1034, 17, 329, 275, 1085, 302, 275, 378, 787, 3776, 1283, 275, 1034, 329, 275, 4678, 353, 3250, 275, 22805, 3776, 19, 204, 204, 38, 9951, 13708, 353, 273, 13708, 440, 273, 8387, 18, 19918, 1034, 19, 332, 7400, 9951, 13708, 869, 1163, 4678, 5104, 4166, 275, 3466, 302, 275, 1034, 19, 334, 3351, 302, 273, 7400, 9951, 13708, 353, 800, 560, 275, 2089, 31, 204, 204, 59, 289, 322, 22, 20, 24, 14, 3080, 55, 3231, 77, 204, 204, 3663, 361, 353, 275, 3441, 302, 275, 1034, 329, 373, 353, 275, 1853, 302, 275, 13708, 19, 204, 204, 1380, 47151, 292, 2416, 538, 4132, 11036, 204, 204, 837, 273, 25348, 2817, 17, 273, 13708, 1048, 273, 2817, 1504, 353, 275, 2817, 346, 61, 8744, 560, 734, 4826, 1908, 275, 29838, 1504, 2771, 463, 21, 98, 311, 273, 917, 17, 3250, 275, 4678, 19, 1058, 9511, 353, 1376, 311, 7072, 275, 4707, 13708, 302, 273, 7346, 4707, 1283, 25348, 5685, 19, 204, 204, 1380, 47151, 292, 8639, 11036, 204, 204, 837, 273, 2450, 2817, 17, 273, 13708, 353, 273, 758, 1144, 1702, 496, 11895, 48, 39889, 1144, 348, 1169, 11895, 1323, 500, 19, 332, 13708, 353, 3250, 31, 204, 204, 15, 262, 930, 6661, 336, 777, 397, 500, 11966, 1144, 204, 15, 262, 930, 21414, 1275, 777, 397, 1144, 3192, 1236, 1051, 18, 11464, 29838, 204, 15, 262, 930, 1046, 13053, 777, 397, 1144, 353, 273, 16453, 7370, 302, 275, 2450, 2817, 204, 15, 262, 930, 1252, 47629, 777, 397, 1169, 1103, 292, 275, 2450, 2817, 618, 444, 8286, 448, 273, 2712, 302, 1842, 292, 1144, 204, 204, 38, 13708, 292, 273, 26424, 714, 2817, 353, 273, 7106, 17, 16453, 17, 329, 4005, 1275, 758, 19, 334, 7156, 302, 35675, 292, 26424, 714, 5685, 869, 1742, 7001, 17, 2864, 275, 3220, 302, 2519, 17, 4217, 17, 329, 27267, 43543, 35675, 19, 204, 204, 1380, 12636, 329, 18190, 204, 204, 1046, 301, 874, 4109, 3564, 329, 7177, 292, 9207, 17, 2864, 31, 204, 204, 15, 262, 930, 8477, 7156, 1416, 852, 301, 618, 444, 1376, 311, 7072, 1552, 11947, 292, 2450, 5685, 19, 204, 15, 262, 930, 45003, 1416, 852, 301, 529, 1376, 292, 11689, 7156, 311, 7072, 8534, 18, 27620, 12701, 302, 1950, 18, 27118, 17986, 19, 204, 15, 262, 930, 9199, 281, 4249, 1416, 852, 301, 529, 1376, 311, 3220, 275, 8605, 302, 26424, 714, 5685, 329, 311, 7072, 4109, 3003, 302, 13220, 19, 204, 204, 26212, 17, 35675, 529, 437, 3287, 3773, 292, 9207, 17, 440, 7177, 292, 8605, 17, 18681, 17, 329, 14064, 4249, 19, 0, 3719, 872, 7921, 11616, 311, 6321, 346, 6428, 1073, 9779, 17, 872, 4230, 1523, 5229, 1051, 302, 275, 19264, 6562, 406, 549, 12133, 496, 49070, 1422, 19, 6917, 275, 26763, 19805, 17, 16020, 33626, 884, 89, 4675, 311, 8402, 1017, 21391, 5501, 440, 1475, 17, 329, 1910, 12133, 1466, 1824, 8944, 19, 15601, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1017, 28864, 3848, 622, 555, 275, 1864, 17, 329, 1335, 1017, 3307, 11155, 884, 89, 7249, 17, 334, 45397, 9337, 1250, 529, 1622, 70, 1370, 1382, 1763, 302, 4610, 47082, 329, 24272, 3582, 204, 38, 1481, 6562, 406, 549, 12133, 49070, 292, 275, 435, 17, 9913, 2415, 36362, 2317, 521, 3332, 368, 17, 28843, 2415, 12137, 2317, 27956, 9624, 630, 346, 6428, 1073, 9779, 292, 42549, 19, 334, 346, 6428, 1073, 9779, 415, 46768, 17, 437, 16244, 3511, 302, 275, 690, 17, 27856, 1465, 1622, 39161, 1662, 2772, 17, 9221, 311, 636, 523, 275, 27784, 19, 37621, 22786, 17, 520, 15512, 4825, 19, 334, 15553, 1466, 23715, 1475, 685, 2528, 17, 22790, 299, 1475, 19, 3433, 16001, 1877, 275, 27784, 348, 10673, 3582, 13716, 43689, 9453, 292, 311, 16483, 275, 26613, 7160, 32, 334, 45397, 9337, 1429, 5557, 38714, 9172, 6468, 13697, 7506, 523, 1017, 19157, 15024, 275, 1786, 10340, 508, 311, 10010, 1017, 21391, 19, 204, 8390, 12133, 3756, 16979, 17, 329, 490, 884, 88, 1017, 28864, 1415, 5794, 1422, 5319, 19, 12412, 7977, 529, 3697, 329, 5027, 2317, 440, 1622, 37956, 7098, 4683, 302, 12772, 292, 1017, 22021, 1001, 329, 273, 41623, 3307, 35764, 19, 8624, 302, 275, 7160, 4006, 884, 89, 5794, 5378, 6699, 2181, 3299, 17, 5575, 311, 334, 45397, 19, 204, 4259, 3237, 884, 88, 1273, 275, 10509, 7336, 292, 31, 36920, 874, 1966, 2637, 373, 12556, 348, 12133, 513, 4133, 4789, 29681, 19, 5269, 5439, 45138, 7365, 8414, 472, 15199, 16588, 4481, 719, 2327, 45340, 44834, 15182, 2317, 1051, 353, 6204, 275, 4968, 19, 3433, 884, 272, 8801, 16665, 329, 507, 3177, 299, 275, 12133, 17, 329, 2906, 7962, 49119, 19, 3665, 618, 1151, 1182, 1465, 1017, 1225, 329, 48952, 3237, 19, 204, 40, 6428, 1073, 9779, 10459, 3886, 32694, 8934, 24631, 8029, 392, 4949, 16306, 1805, 17920, 478, 539, 10571, 334, 45397, 19508, 8336, 275, 7160, 17, 329, 2268, 1583, 17, 4440, 19, 3065, 529, 1236, 5035, 4238, 27176, 1475, 17, 329, 2268, 2842, 12692, 19508, 311, 732, 275, 1729, 2323, 7211, 1250, 1784, 3332, 406, 20510, 19, 334, 12133, 874, 3891, 311, 10724, 448, 794, 36828, 346, 6428, 1073, 9779, 309, 12010, 5032, 19, 204, 59, 1257, 334, 45397, 204, 24049, 39301, 302, 32694, 8934, 24631, 0, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1535, 204, 204, 676, 19496, 31, 204, 264, 320, 204, 264, 2646, 273, 6160, 4891, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 6160, 19, 204, 268, 6160, 68, 417, 322, 325, 330, 4014, 302, 275, 6160, 19, 204, 268, 5025, 68, 359, 322, 325, 330, 19780, 1222, 302, 275, 6160, 19, 204, 268, 3783, 322, 325, 330, 16769, 542, 302, 275, 6160, 19, 204, 268, 12376, 1154, 322, 325, 330, 23803, 28423, 1576, 302, 275, 6160, 19, 204, 268, 869, 68, 2115, 278, 68, 10417, 578, 322, 2107, 330, 2266, 275, 6160, 869, 1742, 36338, 19, 204, 268, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 322, 2107, 330, 2266, 275, 6160, 869, 5333, 23695, 292, 275, 1673, 1168, 2181, 19, 204, 268, 39394, 68, 672, 322, 2664, 330, 7300, 1330, 275, 6160, 867, 7634, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 17, 716, 1095, 6160, 68, 417, 31, 394, 17, 716, 1095, 5025, 68, 359, 31, 394, 17, 716, 1095, 3783, 31, 394, 17, 716, 1095, 12376, 1154, 31, 394, 17, 716, 1095, 869, 68, 2115, 278, 68, 10417, 578, 31, 1109, 17, 716, 1095, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 31, 1109, 17, 716, 1095, 39394, 68, 672, 31, 1804, 330, 204, 268, 320, 204, 268, 1865, 273, 19496, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 6160, 19, 204, 305, 6160, 68, 417, 322, 325, 330, 4014, 302, 275, 6160, 19, 204, 305, 5025, 68, 359, 322, 325, 330, 19780, 1222, 302, 275, 6160, 19, 204, 305, 3783, 322, 325, 330, 16769, 542, 302, 275, 6160, 19, 204, 305, 12376, 1154, 322, 325, 330, 23803, 28423, 1576, 302, 275, 6160, 19, 204, 305, 869, 68, 2115, 278, 68, 10417, 578, 322, 2107, 330, 2266, 275, 6160, 869, 1742, 36338, 19, 204, 305, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 322, 2107, 330, 2266, 275, 6160, 869, 5333, 23695, 292, 275, 1673, 1168, 2181, 19, 204, 305, 39394, 68, 672, 322, 2664, 330, 7300, 1330, 275, 6160, 867, 7634, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 17988, 68, 417, 289, 6160, 68, 417, 204, 268, 370, 19, 10924, 68, 359, 289, 5025, 68, 359, 204, 268, 370, 19, 4700, 289, 3783, 204, 268, 370, 19, 3662, 1154, 289, 12376, 1154, 204, 268, 370, 19, 4753, 68, 2115, 278, 68, 10417, 578, 289, 869, 68, 2115, 278, 68, 10417, 578, 204, 268, 370, 19, 4753, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 289, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 204, 268, 370, 19, 38335, 68, 672, 289, 39394, 68, 672, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 19496, 726, 204, 268, 407, 283, 7, 32239, 463, 327, 19, 359, 2829, 463, 327, 19, 17988, 68, 417, 2495, 204, 204, 204, 676, 23036, 11443, 336, 41670, 8900, 31, 204, 264, 320, 204, 264, 2646, 370, 18, 40479, 11238, 3714, 424, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11238, 3714, 424, 19, 204, 268, 8213, 68, 22218, 322, 996, 330, 25590, 12918, 302, 275, 6160, 19, 204, 268, 9433, 68, 5670, 68, 10997, 68, 3631, 322, 996, 330, 35013, 2480, 5333, 3188, 302, 275, 6160, 19, 204, 268, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 322, 996, 330, 35013, 2480, 9244, 2786, 3351, 302, 275, 6160, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 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, 716, 1095, 8213, 68, 22218, 31, 818, 17, 716, 1095, 9433, 68, 5670, 68, 10997, 68, 3631, 31, 818, 17, 716, 1095, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 23036, 11443, 336, 41670, 8900, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 11238, 3714, 424, 19, 204, 305, 8213, 68, 22218, 322, 996, 330, 25590, 12918, 302, 275, 6160, 19, 204, 305, 9433, 68, 5670, 68, 10997, 68, 3631, 322, 996, 330, 35013, 2480, 5333, 3188, 302, 275, 6160, 19, 204, 305, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 322, 996, 330, 35013, 2480, 9244, 2786, 3351, 302, 275, 6160, 19, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 25476, 68, 22218, 289, 8213, 68, 22218, 204, 268, 370, 19, 18808, 68, 5670, 68, 10997, 68, 3631, 289, 9433, 68, 5670, 68, 10997, 68, 3631, 204, 268, 370, 19, 18808, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 289, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 23036, 11443, 336, 41670, 8900, 726, 204, 268, 407, 283, 7, 41670, 18582, 463, 327, 19, 359, 2829, 25590, 39835, 338, 463, 327, 19, 25476, 68, 22218, 2495, 204, 204, 204, 676, 11385, 31, 204, 264, 320, 204, 264, 2646, 437, 1995, 19, 204, 204, 264, 1532, 31, 204, 268, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1995, 19, 204, 268, 1995, 68, 22, 322, 325, 330, 6867, 1007, 302, 275, 1995, 19, 204, 268, 1995, 68, 23, 322, 325, 330, 10110, 1007, 302, 275, 1995, 19, 204, 268, 3226, 68, 417, 322, 325, 330, 8187, 588, 19, 204, 268, 1259, 68, 417, 322, 325, 330, 5140, 588, 19, 204, 268, 4337, 68, 1181, 322, 325, 330, 28757, 1576, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 716, 1095, 1276, 31, 421, 17, 716, 1095, 1995, 68, 22, 31, 394, 17, 716, 1095, 1995, 68, 23, 31, 1535, 64, 325, 66, 289, 443, 17, 716, 1095, 3226, 68, 417, 31, 394, 289, 8897, 716, 1095, 1259, 68, 417, 31, 394, 289, 8897, 716, 1095, 4337, 68, 1181, 31, 394, 289, 35152, 204, 268, 320, 204, 268, 1865, 437, 11385, 726, 19, 204, 204, 268, 457, 31, 204, 305, 1276, 322, 339, 330, 6581, 4634, 348, 275, 1995, 19, 204, 305, 1995, 68, 22, 322, 325, 330, 6867, 1007, 302, 275, 1995, 19, 204, 305, 1995, 68, 23, 322, 325, 17, 1448, 330, 10110, 1007, 302, 275, 1995, 19, 1243, 311, 443, 19, 204, 305, 3226, 68, 417, 322, 325, 17, 1448, 330, 8187, 588, 19, 1243, 311, 13080, 204, 305, 1259, 68, 417, 322, 325, 17, 1448, 330, 5140, 588, 19, 1243, 311, 13080, 204, 305, 4337, 68, 1181, 322, 325, 17, 1448, 330, 28757, 1576, 19, 1243, 311, 13080, 204, 268, 320, 204, 268, 370, 19, 359, 289, 1276, 204, 268, 370, 19, 2820, 68, 22, 289, 1995, 68, 22, 204, 268, 370, 19, 2820, 68, 23, 289, 1995, 68, 23, 204, 268, 370, 19, 5419, 68, 417, 289, 3226, 68, 417, 204, 268, 370, 19, 1512, 68, 417, 289, 1259, 68, 417, 204, 268, 370, 19, 5714, 68, 1181, 289, 4337, 68, 1181, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 314, 455, 273, 782, 2355, 302, 275, 11385, 726, 204, 268, 407, 283, 7, 10979, 463, 327, 19, 359, 2829, 463, 327, 19, 2820, 68, 22, 1522, 463, 327, 19, 5419, 68, 417, 1522, 463, 327, 19, 1512, 68, 417, 98, 463, 327, 19, 5714, 68, 1181, 2495, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 19496, 726, 204, 264, 6160, 289, 19496, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 6160, 68, 417, 1022, 5063, 19496, 528, 716, 268, 5025, 68, 359, 1022, 24325, 528, 716, 268, 3783, 1022, 4326, 18, 7372, 18, 25820, 528, 716, 268, 12376, 1154, 1022, 9702, 528, 716, 268, 869, 68, 2115, 278, 68, 10417, 578, 34, 1021, 17, 716, 268, 869, 68, 10997, 23695, 68, 266, 68, 2391, 68, 28, 68, 12193, 34, 1975, 17, 716, 268, 39394, 68, 672, 34, 2664, 13, 7267, 17, 368, 17, 368, 14, 204, 264, 1179, 204, 264, 456, 13, 17988, 14, 204, 204, 264, 314, 666, 273, 23036, 11443, 336, 41670, 8900, 726, 204, 264, 11238, 68, 2788, 289, 23036, 11443, 336, 41670, 8900, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 8213, 68, 22218, 34, 33414, 19, 21, 17, 716, 268, 9433, 68, 5670, 68, 10997, 68, 3631, 34, 43911, 19, 21, 17, 716, 268, 9433, 68, 5670, 68, 18329, 68, 3530, 68, 6811, 34, 36233, 19, 21, 204, 264, 1179, 204, 264, 456, 13, 19320, 68, 2788, 14, 204, 204, 264, 314, 666, 437, 11385, 726, 204, 264, 1995, 289, 11385, 13, 204, 268, 1276, 34, 22, 17, 716, 268, 1995, 68, 22, 1022, 4326, 3338, 1200, 528, 716, 268, 1995, 68, 23, 1022, 38, 386, 14382, 528, 716, 268, 3226, 68, 417, 1022, 6001, 6751, 528, 716, 268, 1259, 68, 417, 1022, 25818, 528, 716, 268, 4337, 68, 1181, 1022, 5758, 22, 7, 204, 264, 1179, 204, 264, 456, 13, 2820, 14, 204, 0, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 2918, 532, 8486, 204, 204, 676, 9076, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 2646, 273, 4806, 1966, 560, 273, 575, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 1966, 275, 4806, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4806, 19, 204, 268, 1068, 322, 325, 330, 334, 1666, 302, 275, 4806, 19, 204, 268, 1966, 68, 672, 322, 2664, 330, 334, 1489, 329, 690, 1330, 275, 4806, 867, 1966, 19, 204, 268, 5846, 68, 672, 322, 2664, 330, 334, 1489, 329, 690, 1330, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4806, 867, 1673, 5846, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 13, 2491, 17, 523, 68, 2756, 34, 1618, 19, 5206, 17, 3232, 68, 417, 833, 12100, 534, 204, 264, 1724, 289, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 2825, 14, 204, 264, 1068, 289, 1094, 19, 7320, 374, 204, 264, 1966, 68, 672, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 14, 204, 264, 5846, 68, 672, 289, 1094, 19, 6602, 13, 4881, 68, 1520, 34, 1021, 14, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1724, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 407, 370, 19, 1778, 204, 204, 264, 436, 636, 68, 7760, 68, 7111, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 5549, 302, 275, 4806, 17, 2864, 275, 1724, 329, 273, 23640, 2585, 302, 275, 1068, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 5549, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 314, 39998, 275, 1068, 311, 1607, 2724, 348, 275, 5549, 204, 268, 23640, 68, 492, 289, 370, 19, 492, 2022, 2051, 66, 465, 379, 2152, 12, 397, 1245, 13, 327, 19, 492, 14, 1323, 1607, 902, 370, 19, 492, 204, 268, 407, 283, 1954, 327, 19, 1778, 2829, 463, 30791, 68, 492, 2495, 204, 204, 264, 436, 1395, 68, 7760, 13, 327, 17, 717, 68, 1778, 31, 394, 17, 717, 68, 492, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 1724, 329, 1068, 302, 275, 4806, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 1778, 322, 325, 330, 334, 717, 1724, 302, 275, 4806, 19, 204, 305, 717, 68, 492, 322, 325, 330, 334, 717, 1068, 302, 275, 4806, 19, 204, 268, 320, 204, 268, 370, 19, 1778, 289, 717, 68, 1778, 204, 268, 370, 19, 492, 289, 717, 68, 492, 204, 268, 370, 19, 12171, 68, 672, 289, 8486, 19, 1520, 374, 204, 268, 370, 19, 2360, 374, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 2914, 348, 275, 9076, 570, 19, 204, 268, 320, 204, 268, 2874, 68, 417, 289, 388, 7760, 7, 204, 268, 2874, 68, 417, 68, 9875, 289, 388, 12100, 7, 204, 268, 10772, 289, 2470, 5903, 68, 672, 839, 204, 204, 8, 1165, 1265, 31, 204, 461, 838, 68, 7760, 13, 816, 31, 2221, 17, 1724, 31, 394, 17, 1068, 31, 394, 14, 393, 9076, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 4806, 348, 275, 800, 575, 19, 204, 204, 264, 457, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 1415, 1120, 3346, 275, 4806, 19, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4806, 19, 204, 268, 1068, 322, 325, 330, 334, 1666, 302, 275, 4806, 19, 204, 204, 264, 475, 31, 204, 268, 9076, 31, 334, 9932, 1966, 4806, 19, 204, 264, 320, 204, 264, 4806, 289, 9076, 13, 816, 34, 816, 17, 1724, 34, 1778, 17, 1068, 34, 492, 14, 204, 264, 4806, 19, 2360, 374, 204, 264, 407, 4806, 204, 204, 461, 667, 1293, 204, 264, 314, 666, 273, 717, 575, 204, 264, 497, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 264, 575, 289, 2221, 19, 2856, 19, 1510, 68, 816, 611, 12514, 491, 379, 12514, 37, 2569, 19, 1453, 491, 379, 1989, 534, 204, 204, 264, 314, 666, 273, 717, 4806, 204, 264, 4806, 289, 838, 68, 7760, 13, 816, 17, 388, 7061, 6867, 9076, 528, 388, 1834, 353, 2745, 1043, 4806, 1280, 204, 204, 264, 314, 1198, 275, 4806, 5549, 204, 264, 456, 13, 7760, 19, 505, 68, 7760, 68, 7111, 1447, 204, 204, 264, 314, 1716, 275, 4806, 204, 264, 4806, 19, 2045, 68, 7760, 499, 7061, 22110, 9076, 528, 388, 1834, 353, 2745, 2908, 4806, 1280, 204, 204, 264, 314, 1198, 275, 2908, 4806, 5549, 204, 264, 456, 13, 7760, 19, 505, 68, 7760, 68, 7111, 1447, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 12507, 12430, 302, 9774, 31, 13770, 17, 12082, 2343, 9134, 204, 204, 673, 2480, 2233, 302, 2652, 353, 3557, 311, 6154, 275, 5372, 302, 273, 1007, 19, 1547, 353, 4310, 448, 275, 2652, 292, 275, 10742, 1554, 322, 94, 18, 4953, 14, 6167, 560, 275, 2652, 292, 275, 6403, 1554, 322, 93, 18, 4953, 789, 204, 204, 1380, 12082, 204, 204, 673, 2089, 348, 2480, 2233, 302, 2652, 353, 31, 204, 204, 11769, 12430, 302, 9774, 289, 322, 15904, 292, 469, 14, 802, 322, 15904, 292, 610, 14, 204, 204, 1834, 618, 1425, 444, 5052, 448, 275, 5372, 2089, 31, 204, 204, 11769, 12430, 302, 9774, 289, 322, 94, 23, 338, 469, 22, 14, 802, 322, 93, 23, 338, 610, 22, 14, 204, 204, 1380, 9134, 204, 204, 3661, 677, 2506, 273, 5879, 1273, 275, 2969, 2689, 3731, 19, 1785, 618, 1020, 275, 2480, 2969, 1048, 275, 3200, 302, 275, 5879, 560, 974, 275, 5372, 2089, 19, 204, 204, 3070, 1763, 17, 27383, 572, 874, 275, 2631, 1728, 31, 204, 204, 15, 35322, 368, 31, 2468, 20090, 204, 15, 35322, 435, 31, 6787, 20090, 204, 15, 35322, 571, 31, 9766, 20090, 204, 15, 35322, 681, 31, 2846, 20090, 204, 15, 35322, 720, 31, 9806, 20090, 204, 204, 2310, 618, 1173, 1605, 1019, 448, 8783, 4125, 31, 322, 22, 17, 2188, 659, 322, 23, 17, 3894, 659, 322, 24, 17, 4656, 659, 322, 25, 17, 2169, 659, 329, 322, 26, 17, 4452, 789, 204, 204, 1449, 1020, 275, 2480, 2233, 302, 2652, 17, 572, 618, 732, 275, 5372, 2089, 31, 204, 204, 15, 18473, 3658, 368, 329, 681, 31, 322, 2169, 338, 2468, 14, 802, 322, 25, 338, 368, 14, 289, 931, 802, 571, 289, 571, 19, 3268, 6172, 841, 4904, 204, 15, 18473, 3658, 368, 329, 435, 31, 322, 3894, 338, 2468, 14, 802, 322, 23, 338, 368, 14, 289, 2846, 6172, 841, 4904, 204, 15, 18473, 3658, 435, 329, 681, 31, 322, 2169, 338, 6787, 14, 802, 322, 25, 338, 435, 14, 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, 338, 2188, 802, 435, 289, 338, 1909, 6172, 841, 4904, 204, 204, 673, 2480, 2233, 302, 2652, 618, 444, 2140, 322, 21113, 14, 521, 2917, 322, 26363, 659, 329, 490, 618, 444, 1376, 311, 8959, 275, 2233, 302, 2652, 302, 1169, 4474, 1048, 690, 19, 0, 10214, 1565, 29, 2903, 3787, 33733, 408, 2112, 33594, 3248, 1456, 12552, 37304, 921, 2112, 29078, 3988, 8325, 3875, 19445, 7005, 2857, 725, 9355, 31861, 19566, 4402, 4500, 460, 27580, 1926, 408, 21164, 3248, 1456, 47122, 13470, 2615, 28341, 26379, 8709, 1951, 1458, 10577, 4500, 12708, 14151, 9228, 23267, 30827, 3235, 568, 2112, 11260, 4905, 21948, 4500, 12708, 14151, 30827, 3235, 4821, 4821, 2564, 38518, 11668, 725, 28341, 26379, 8709, 29078, 3988, 725, 3369, 2006, 5556, 725, 1951, 1458, 10577, 12552, 1227, 4500, 12708, 14151, 19445, 29182, 37823, 1111, 2780, 37304, 408, 2823, 11962, 33604, 1951, 1458, 10577, 2338, 4500, 12708, 14151, 23267, 30827, 3235, 9228, 5661, 1227, 35372, 38450, 568, 12253, 3248, 1456, 13470, 2615, 4500, 12708, 14151, 30827, 3235, 408, 17919, 20587, 1111, 18830, 12749, 408, 2823, 16566, 35840, 28093, 568, 22424, 4500, 12708, 14151, 27309, 26512, 7925, 1689, 725, 17788, 5598, 261, 39757, 725, 4265, 3928, 11295, 1955, 32274, 4517, 408, 35815, 47122, 29734, 1227, 13256, 568, 17919, 8075, 11698, 2112, 29078, 3988, 7005, 19445, 5659, 408, 4500, 12708, 14151, 31809, 10984, 1670, 47433, 17788, 1227, 9784, 2122, 3928, 11295, 460, 9061, 408, 3248, 1456, 2499, 5227, 36534, 3235, 6385, 23267, 30827, 11736, 4525, 13191, 13376, 23671, 3248, 1456, 21829, 9228, 14022, 40337, 6364, 408, 9308, 4500, 12708, 14151, 27309, 26512, 16841, 5928, 5932, 408, 6960, 5928, 6658, 408, 2857, 2148, 10776, 1565, 5928, 2823, 35643, 921, 47783, 8088, 14855, 568, 204, 0, 22, 19, 226, 8333, 921, 10982, 1390, 11398, 10366, 8128, 25020, 408, 35090, 1189, 6689, 408, 37874, 4747, 4404, 831, 1191, 6390, 11273, 5452, 8182, 18565, 2704, 568, 204, 23, 19, 18371, 8128, 25020, 1926, 408, 1254, 43214, 1189, 8255, 10366, 7224, 7789, 408, 8145, 16432, 1189, 7789, 2453, 408, 10011, 11962, 4068, 3058, 43214, 7789, 1926, 2122, 7224, 24637, 408, 2122, 3875, 2564, 408, 17640, 17548, 26330, 408, 8404, 37824, 408, 28407, 14855, 3058, 3684, 3922, 13582, 37874, 41082, 3293, 18354, 408, 6395, 7224, 9516, 2338, 13032, 5659, 8056, 18884, 17554, 408, 5031, 4040, 19765, 3365, 408, 33846, 3369, 5011, 4587, 408, 26330, 2094, 7640, 4044, 41576, 12545, 1955, 568, 204, 24, 19, 226, 5646, 43618, 1603, 8128, 1390, 44949, 39502, 13582, 11273, 725, 6977, 7224, 8182, 3590, 4484, 3656, 7640, 1262, 408, 19260, 8333, 25020, 1390, 408, 1789, 3684, 1789, 1565, 4079, 1789, 15356, 3608, 6977, 19407, 3865, 568, 204, 25, 19, 226, 8333, 13987, 9228, 17548, 26330, 6998, 4095, 6873, 6256, 2807, 6364, 408, 3590, 7640, 6308, 24460, 15347, 35868, 22982, 6873, 4698, 2183, 408, 3608, 23595, 6977, 7566, 1262, 568, 204, 26, 19, 226, 15093, 48854, 3293, 18354, 2831, 408, 21204, 6977, 16759, 7533, 408, 6960, 6977, 45240, 6233, 408, 28752, 1398, 4011, 408, 11808, 14613, 29182, 408, 2823, 12253, 32274, 4517, 408, 10490, 11364, 39947, 408, 8356, 2433, 2411, 38214, 408, 2274, 11516, 2853, 46525, 408, 16814, 6233, 725, 27554, 16153, 568, 204, 3359, 3684, 3445, 6873, 3875, 2564, 725, 43214, 3359, 3684, 3922, 13582, 15093, 11534, 6873, 9516, 408, 19765, 13549, 408, 28407, 14855, 408, 21289, 6873, 3151, 408, 7939, 5612, 26551, 5452, 408, 19600, 13489, 24937, 5110, 2110, 25649, 6977, 38561, 568, 0, 647, 3238, 204, 647, 22349, 204, 647, 4845, 204, 647, 30537, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1354, 1007, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 204, 268, 12919, 68, 676, 34, 11996, 19, 20525, 12385, 42567, 17, 204, 268, 2342, 34, 492, 15290, 19, 42636, 18585, 204, 305, 37825, 329, 15194, 88, 1860, 974, 1451, 16037, 19, 204, 204, 305, 39601, 4996, 204, 305, 9134, 31, 204, 204, 485, 540, 17761, 437, 537, 510, 15802, 299, 275, 1451, 16037, 1354, 204, 895, 15802, 379, 17732, 1068, 12, 1323, 510, 19, 3039, 204, 895, 5415, 14251, 68, 20480, 19, 948, 338, 78, 510, 19, 3039, 338, 91, 338, 84, 510, 19, 3039, 19, 9063, 204, 204, 485, 540, 19498, 437, 537, 510, 204, 895, 5415, 14251, 68, 20480, 19, 948, 226, 338, 73, 338, 78, 510, 19, 3039, 19, 9063, 338, 84, 510, 68, 22210, 73, 19, 3039, 204, 305, 39601, 4996, 204, 268, 22963, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 78, 491, 6262, 266, 68, 553, 491, 1187, 34, 325, 17, 1945, 34, 1021, 17, 2984, 833, 768, 68, 553, 491, 204, 268, 1340, 1022, 673, 537, 510, 588, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 84, 491, 6262, 607, 68, 553, 491, 1187, 34, 325, 17, 1945, 34, 1021, 17, 2984, 833, 1420, 68, 553, 491, 204, 268, 1340, 1022, 673, 919, 510, 588, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6262, 1989, 491, 1187, 34, 325, 17, 2984, 833, 1989, 491, 204, 268, 1340, 1022, 48980, 974, 808, 4601, 19, 3665, 1120, 444, 35501, 348, 1482, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 73, 491, 6262, 20480, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 20480, 491, 204, 268, 1340, 1022, 5118, 2702, 275, 537, 510, 1025, 275, 919, 510, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 91, 491, 6262, 7952, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 7952, 491, 204, 268, 1340, 1022, 42, 1595, 11255, 1354, 311, 10573, 7, 204, 264, 1179, 204, 204, 264, 1732, 19, 826, 68, 2389, 13, 204, 268, 6159, 82, 491, 6262, 7648, 26, 491, 2086, 833, 4046, 68, 4855, 491, 1540, 34, 1975, 17, 2984, 833, 598, 68, 7648, 26, 491, 204, 268, 1340, 1022, 11345, 0 ]

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

[ 0, 23297, 16573, 26, 12323, 7, 204, 264, 1179, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 636, 68, 816, 68, 1989, 13, 1038, 31, 3238, 19, 5750, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 1482, 497, 275, 575, 521, 275, 1354, 1007, 4601, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1482, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1482, 353, 1917, 448, 437, 4601, 204, 264, 397, 2042, 19, 1989, 31, 204, 268, 314, 1974, 275, 1917, 1482, 204, 268, 407, 2042, 19, 1989, 204, 264, 902, 31, 204, 268, 314, 13485, 275, 575, 348, 1482, 204, 268, 407, 22349, 19, 39177, 499, 2101, 1482, 31, 2810, 204, 204, 461, 838, 68, 28818, 68, 2196, 13, 1038, 31, 3238, 19, 5750, 17, 1482, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 666, 275, 1451, 16037, 1354, 1609, 523, 275, 1906, 19, 204, 204, 264, 457, 31, 204, 268, 2042, 322, 11996, 19, 5750, 330, 11123, 1354, 1007, 1906, 19, 204, 268, 1482, 322, 325, 330, 334, 1482, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 1451, 16037, 1354, 19, 204, 264, 320, 204, 264, 314, 4347, 275, 11255, 521, 22455, 1354, 204, 264, 397, 2042, 19, 20480, 31, 204, 268, 314, 4160, 7945, 1354, 204, 268, 9840, 289, 3134, 3664, 16037, 528, 388, 999, 528, 7031, 73, 528, 7031, 34214, 18, 6372, 18, 72, 13141, 528, 7031, 80, 528, 1482, 66, 204, 268, 397, 2042, 19, 598, 68, 7648, 26, 31, 204, 305, 314, 1974, 23297, 16573, 26, 12323, 204, 305, 9840, 19, 1223, 8883, 7648, 431, 204, 305, 9840, 19, 1223, 499, 7648, 26, 431, 204, 268, 902, 31, 204, 305, 314, 1974, 1540, 33009, 80, 1695, 23, 204, 305, 9840, 19, 1223, 8883, 11922, 80, 1695, 23, 431, 204, 268, 314, 1255, 537, 329, 919, 1860, 204, 268, 9840, 19, 6683, 9792, 18, 266, 528, 2042, 19, 768, 68, 553, 17, 7031, 607, 528, 2042, 19, 1420, 68, 553, 694, 204, 264, 902, 31, 204, 268, 314, 37979, 7945, 1354, 204, 268, 9840, 289, 3134, 3664, 16037, 528, 388, 999, 528, 7031, 34214, 18, 6372, 18, 72, 13141, 528, 7031, 11922, 80, 1695, 23, 528, 7031, 21498, 528, 7031, 80, 528, 1482, 17, 7031, 266, 528, 2042, 19, 768, 68, 553, 17, 7031, 607, 528, 2042, 19, 1420, 68, 553, 66, 204, 264, 407, 9840, 204, 204, 461, 1523, 68, 28818, 68, 2196, 13, 7414, 31, 458, 17, 2874, 31, 1109, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2466, 275, 1451, 16037, 1354, 329, 456, 275, 919, 397, 2874, 19, 204, 204, 264, 457, 31, 204, 268, 9840, 322, 655, 330, 334, 1451, 16037, 1354, 19, 204, 268, 2874, 322, 2107, 330, 2266, 311, 456, 275, 1354, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1354, 397, 2874, 204, 264, 397, 2874, 31, 204, 268, 456, 499, 42475, 2180, 388, 5161, 1541, 13, 7414, 602, 204, 264, 314, 2466, 275, 1354, 204, 264, 4845, 19, 1777, 13, 7414, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 19, 204, 264, 320, 204, 264, 314, 2735, 1354, 1007, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 264, 314, 763, 275, 1482, 204, 264, 1482, 289, 636, 68, 816, 68, 1989, 13, 1038, 14, 204, 264, 314, 666, 275, 11255, 1354, 204, 264, 9840, 289, 838, 68, 28818, 68, 2196, 13, 1038, 17, 1482, 14, 204, 264, 314, 2466, 275, 11255, 1354, 204, 264, 1523, 68, 28818, 68, 2196, 13, 7414, 17, 2042, 19, 7952, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 461, 12042, 68, 816, 13, 417, 31, 394, 17, 943, 31, 394, 289, 388, 5975, 431, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15309, 4389, 943, 311, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 302, 275, 575, 311, 12042, 19, 204, 268, 943, 322, 325, 17, 1448, 330, 334, 4389, 943, 19, 1243, 311, 388, 5975, 2948, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 666, 273, 15309, 4389, 943, 204, 264, 4389, 289, 283, 1954, 1454, 1522, 463, 417, 33287, 204, 204, 264, 314, 1198, 275, 4389, 943, 311, 275, 6474, 204, 264, 456, 13, 7291, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 275, 1265, 302, 275, 12042, 68, 816, 741, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 314, 763, 275, 575, 677, 588, 204, 264, 575, 68, 417, 289, 537, 499, 5213, 2064, 1214, 588, 31, 2810, 204, 204, 264, 314, 45748, 275, 575, 440, 273, 1540, 943, 204, 264, 12042, 68, 816, 13, 816, 68, 417, 14, 204, 204, 264, 314, 45748, 275, 575, 440, 273, 2363, 943, 204, 264, 12042, 68, 816, 13, 816, 68, 417, 17, 388, 15352, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 461, 949, 68, 31172, 68, 11190, 13, 204, 264, 1419, 68, 12755, 31, 818, 17, 716, 264, 10389, 68, 12193, 31, 421, 17, 716, 264, 8213, 68, 3309, 68, 1949, 31, 818, 204, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 10915, 3205, 523, 437, 1419, 7695, 1048, 273, 1713, 542, 302, 2181, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 12755, 322, 996, 330, 334, 1419, 1690, 302, 7695, 19, 204, 268, 10389, 68, 12193, 322, 339, 330, 334, 542, 302, 2181, 311, 4582, 19, 204, 268, 8213, 68, 3309, 68, 1949, 322, 996, 330, 334, 8213, 407, 2233, 448, 273, 5050, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 2423, 7695, 1877, 275, 1713, 542, 302, 2181, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1169, 537, 700, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2917, 19, 204, 268, 3660, 31, 828, 1169, 537, 1187, 353, 2872, 19, 204, 264, 320, 204, 264, 314, 3866, 537, 1019, 204, 264, 397, 508, 322, 12090, 13, 3474, 68, 12755, 17, 322, 339, 17, 818, 602, 329, 716, 305, 2381, 13, 30980, 68, 12193, 17, 421, 14, 329, 716, 305, 2381, 13, 25476, 68, 3309, 68, 1949, 17, 322, 339, 17, 818, 30278, 204, 268, 980, 3660, 499, 1962, 537, 1187, 431, 204, 204, 264, 397, 1419, 68, 12755, 962, 500, 521, 10389, 68, 12193, 962, 500, 521, 8213, 68, 3309, 68, 1949, 962, 500, 31, 204, 268, 980, 987, 499, 3383, 1019, 2950, 444, 2917, 431, 204, 204, 264, 314, 888, 275, 10915, 3205, 974, 275, 2089, 31, 332, 289, 415, 540, 322, 22, 465, 468, 20, 2051, 2246, 83, 204, 264, 314, 16655, 31, 204, 264, 314, 262, 332, 289, 2423, 7695, 204, 264, 314, 262, 415, 289, 1419, 7695, 204, 264, 314, 262, 468, 289, 8213, 407, 2233, 204, 264, 314, 262, 300, 289, 542, 302, 2181, 204, 264, 2423, 68, 12755, 289, 1419, 68, 12755, 540, 322, 22, 465, 8213, 68, 3309, 68, 1949, 802, 1607, 14, 930, 10389, 68, 12193, 204, 204, 264, 407, 2423, 68, 12755, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1419, 68, 12755, 289, 1607, 204, 264, 10389, 68, 12193, 289, 571, 204, 264, 8213, 68, 3309, 68, 1949, 289, 571, 204, 204, 264, 810, 31, 204, 268, 2423, 68, 12755, 289, 949, 68, 31172, 68, 11190, 13, 3474, 68, 12755, 17, 10389, 68, 12193, 17, 8213, 68, 3309, 68, 1949, 14, 204, 268, 456, 13, 75, 7, 673, 2423, 7695, 1877, 463, 30980, 68, 12193, 98, 2181, 353, 31, 463, 7912, 68, 12755, 4567, 25, 75, 743, 204, 264, 827, 322, 11874, 17, 3660, 14, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 0, 8, 968, 273, 955, 302, 9619, 4514, 22614, 204, 2421, 8447, 1599, 68, 14340, 68, 28414, 4526, 56, 31, 1135, 64, 325, 17, 394, 66, 289, 463, 204, 264, 379, 62, 70, 6031, 78, 39, 597, 379, 40087, 1358, 70, 6031, 78, 491, 204, 264, 379, 62, 70, 6031, 78, 597, 379, 40087, 1358, 70, 6031, 78, 13386, 12, 204, 98, 204, 204, 461, 636, 68, 31632, 68, 6823, 68, 15239, 13, 6823, 68, 417, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4071, 275, 3101, 588, 302, 273, 9619, 4514, 800, 1163, 13674, 19, 204, 204, 264, 457, 31, 204, 268, 4514, 68, 417, 322, 325, 330, 334, 13674, 302, 275, 9619, 4514, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3101, 588, 302, 275, 9619, 4514, 397, 1193, 17, 2130, 275, 2171, 13674, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 4514, 13674, 2560, 292, 275, 955, 204, 264, 407, 12386, 8447, 1599, 68, 14340, 68, 28414, 4526, 56, 19, 505, 13, 6823, 68, 417, 17, 4514, 68, 417, 14, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 456, 13, 505, 68, 31632, 68, 6823, 68, 15239, 611, 62, 70, 6031, 78, 39, 3063, 226, 314, 3215, 31, 21419, 1358, 70, 6031, 78, 204, 264, 456, 13, 505, 68, 31632, 68, 6823, 68, 15239, 611, 11725, 11800, 3063, 226, 314, 3215, 31, 28489, 11800, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 204, 461, 838, 68, 1657, 13, 1695, 31, 1246, 19, 1362, 17, 610, 68, 3071, 31, 394, 17, 469, 68, 3071, 31, 394, 17, 1800, 31, 394, 17, 1848, 31, 394, 17, 1711, 31, 1513, 19, 16571, 14, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 1807, 348, 275, 800, 424, 2023, 329, 3138, 19, 204, 204, 264, 457, 31, 204, 268, 2349, 322, 2600, 19, 1362, 330, 334, 424, 2023, 311, 1807, 19, 204, 268, 610, 68, 3071, 322, 325, 330, 334, 1837, 588, 348, 275, 610, 18, 3399, 19, 204, 268, 469, 68, 3071, 322, 325, 330, 334, 1837, 588, 348, 275, 469, 18, 3399, 19, 204, 268, 1800, 322, 325, 330, 334, 1800, 348, 275, 1807, 19, 204, 268, 1848, 322, 325, 330, 334, 1848, 302, 275, 1807, 19, 204, 268, 1711, 322, 14480, 19, 16571, 330, 334, 3138, 311, 1807, 523, 19, 204, 264, 320, 204, 264, 2349, 19, 1657, 13, 93, 34, 93, 68, 3071, 17, 469, 34, 94, 68, 3071, 17, 1711, 34, 1474, 17, 1800, 34, 1676, 17, 1848, 34, 2640, 14, 204, 204, 461, 838, 68, 7208, 13, 2435, 31, 818, 17, 1853, 31, 818, 17, 1824, 31, 818, 17, 5533, 31, 818, 17, 1629, 31, 818, 17, 1913, 31, 818, 14, 393, 1513, 19, 11600, 31, 204, 264, 320, 204, 264, 666, 273, 4368, 440, 275, 800, 5150, 329, 5328, 19, 204, 204, 264, 457, 31, 204, 268, 2198, 322, 996, 330, 334, 2198, 302, 275, 4368, 19, 204, 268, 1853, 322, 996, 330, 334, 1853, 302, 275, 4368, 19, 204, 268, 1824, 322, 996, 330, 334, 1824, 12163, 302, 275, 4368, 19, 204, 268, 5533, 322, 996, 330, 334, 5533, 12163, 302, 275, 4368, 19, 204, 268, 1629, 322, 996, 330, 334, 1629, 12163, 302, 275, 4368, 19, 204, 268, 1913, 322, 996, 330, 334, 1913, 12163, 302, 275, 4368, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 11600, 31, 334, 1966, 4368, 19, 204, 264, 320, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 264, 2836, 19, 11552, 68, 16026, 13, 1735, 34, 1735, 17, 5533, 34, 10568, 17, 1629, 34, 1633, 17, 1913, 34, 2723, 14, 204, 264, 407, 2836, 17, 1711, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2306, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 3271, 424, 19, 0 ]

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

[ 0, 204, 264, 320, 204, 264, 2349, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 546, 17, 3494, 34, 3170, 14, 204, 264, 2349, 19, 3786, 289, 2470, 24648, 319, 470, 491, 510, 68, 546, 19, 1590, 30157, 22, 1664, 1590, 45591, 3327, 22, 1664, 1590, 25751, 21, 2629, 204, 264, 407, 2349, 204, 204, 461, 1807, 68, 25116, 13, 25116, 68, 417, 31, 394, 17, 510, 68, 3880, 31, 458, 64, 325, 648, 5427, 31, 458, 64, 325, 648, 1769, 31, 458, 64, 325, 648, 716, 13429, 1824, 31, 818, 17, 5533, 31, 818, 17, 1629, 31, 818, 17, 1913, 31, 818, 17, 716, 13429, 2198, 31, 818, 17, 1853, 31, 818, 17, 919, 68, 553, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 273, 9924, 19, 204, 204, 264, 457, 31, 204, 268, 9924, 68, 417, 322, 325, 330, 334, 588, 302, 275, 9924, 19, 204, 268, 510, 68, 3880, 322, 655, 64, 325, 1037, 334, 3630, 311, 275, 2306, 1860, 19, 204, 268, 5427, 322, 655, 64, 325, 1037, 334, 5427, 302, 275, 11830, 19, 204, 268, 1769, 322, 655, 64, 325, 1037, 334, 1769, 302, 275, 11830, 19, 204, 268, 1824, 322, 996, 330, 334, 1824, 12163, 302, 275, 4368, 19, 204, 268, 5533, 322, 996, 330, 334, 5533, 12163, 302, 275, 4368, 19, 204, 268, 1629, 322, 996, 330, 334, 1629, 12163, 302, 275, 4368, 19, 204, 268, 1913, 322, 996, 330, 334, 1913, 12163, 302, 275, 4368, 19, 204, 268, 2198, 322, 996, 330, 334, 2198, 302, 275, 4368, 19, 204, 268, 1853, 322, 996, 330, 334, 1853, 302, 275, 4368, 19, 204, 268, 919, 68, 553, 322, 325, 330, 334, 919, 510, 832, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 204, 264, 14762, 289, 551, 986, 68, 481, 13, 553, 68, 546, 14, 348, 510, 68, 546, 292, 510, 68, 3880, 66, 204, 204, 264, 314, 666, 4368, 204, 264, 2836, 17, 1711, 289, 838, 68, 7208, 13, 2435, 17, 1853, 17, 1824, 17, 5533, 17, 1629, 17, 1913, 14, 204, 204, 264, 314, 666, 11830, 204, 264, 348, 2349, 17, 1848, 17, 1800, 292, 4337, 13, 14739, 17, 5427, 17, 1769, 330, 204, 268, 838, 68, 1657, 13, 1695, 17, 379, 24648, 319, 470, 491, 2349, 19, 3786, 64, 22, 648, 1800, 17, 1848, 17, 1711, 14, 204, 204, 264, 314, 1359, 1769, 329, 12092, 204, 264, 1711, 19, 574, 68, 7246, 13, 87, 12, 4292, 14381, 21842, 1800, 7220, 34, 21, 14, 204, 264, 1711, 19, 574, 68, 7127, 13, 87, 12, 4292, 761, 45763, 91, 514, 267, 530, 21842, 1800, 7220, 34, 23, 14, 204, 264, 1513, 19, 9042, 13, 14577, 68, 633, 68, 19492, 3644, 21, 19, 22, 17, 500, 19, 5559, 17, 500, 19, 25, 17, 500, 19, 1719, 23, 659, 1488, 34, 24, 17, 300, 982, 34, 23, 17, 2291, 1022, 11185, 528, 8906, 13352, 7220, 34, 21, 2458, 2023, 271, 34, 1975, 14, 204, 204, 264, 314, 3025, 4368, 204, 264, 2836, 19, 574, 68, 835, 68, 22520, 13, 2435, 17, 1853, 14, 204, 264, 2836, 19, 12273, 13, 1420, 68, 553, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1359, 1807, 6060, 204, 264, 1513, 19, 3555, 611, 6823, 491, 930, 29225, 13212, 597, 379, 88, 640, 18, 590, 403, 491, 379, 88, 640, 18, 590, 403, 597, 2470, 25620, 37639, 204, 264, 1513, 19, 3555, 611, 492, 491, 732, 3147, 34, 1975, 14, 204, 264, 1513, 19, 3555, 611, 38718, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 94, 5355, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 13352, 491, 1800, 835, 34, 29, 14, 204, 264, 1513, 19, 3555, 611, 9042, 491, 15398, 34, 29, 14, 204, 204, 264, 314, 968, 1807, 5150, 204, 264, 2198, 289, 571, 19, 4553, 28, 204, 264, 20248, 68, 3037, 289, 322, 1123, 19, 2514, 13, 26, 14, 338, 368, 19, 21, 14, 802, 435, 19, 21, 226, 314, 39521, 3726, 204, 264, 1853, 289, 2198, 540, 20248, 68, 3037, 204, 204, 264, 314, 38793, 368, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 30709, 22, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 82, 55, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 87, 21, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 70, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 1511, 1511, 1511, 491, 10416, 5783, 5783, 5783, 491, 10416, 27, 3701, 48951, 491, 10416, 5007, 5007, 5007, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 22, 21842, 468, 24152, 82, 68, 55, 21842, 468, 24152, 87, 68, 21, 21842, 468, 12, 4292, 7311, 68, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 368, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 2353, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 22, 19, 7129, 534, 204, 204, 264, 314, 38793, 435, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 30709, 23, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 30709, 24, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 71, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 1511, 1511, 1511, 491, 10416, 5007, 5007, 5007, 491, 10416, 27, 3701, 48951, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 23, 21842, 468, 12, 4292, 30709, 68, 24, 21842, 468, 12, 4292, 7311, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 435, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 27986, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 23, 19, 7129, 534, 204, 204, 264, 314, 38793, 571, 204, 264, 510, 68, 3880, 289, 551, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 72, 68, 15238, 22, 68, 2394, 68, 30709, 23, 19, 2039, 491, 204, 268, 379, 23321, 981, 20, 19624, 20, 7208, 68, 26, 72, 68, 15238, 22, 68, 2394, 68, 7311, 44, 19, 2039, 12, 204, 264, 2437, 204, 264, 5427, 289, 2470, 8, 27, 3701, 48951, 491, 10416, 5007, 5007, 5007, 839, 204, 264, 1769, 289, 551, 87, 12, 4292, 30709, 68, 23, 21842, 468, 12, 4292, 7311, 68, 44, 9, 839, 204, 264, 1807, 68, 25116, 611, 7183, 12284, 571, 491, 510, 68, 3880, 17, 5427, 17, 1769, 17, 500, 19, 2300, 17, 500, 19, 1909, 17, 500, 19, 2418, 17, 500, 19, 5839, 17, 2198, 17, 1853, 17, 379, 1823, 85, 68, 26, 38, 24, 19, 7129, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1875, 204, 647, 1127, 204, 204, 461, 1137, 68, 1775, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 2084, 424, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 2084, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 3271, 2084, 424, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 407, 1875, 19, 986, 13, 553, 14, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 553, 68, 546, 743, 204, 268, 407, 2087, 204, 204, 461, 1967, 68, 20774, 68, 1270, 13, 1775, 68, 481, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1986, 10883, 1483, 497, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 1875, 68, 481, 322, 873, 330, 334, 2084, 424, 1174, 10883, 1483, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 4989, 10883, 1483, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1945, 3583, 1337, 292, 275, 2084, 424, 204, 264, 397, 388, 272, 625, 93, 989, 7, 292, 1875, 68, 481, 329, 388, 13242, 1721, 53, 10056, 7, 292, 1875, 68, 481, 1166, 272, 625, 93, 989, 1339, 329, 388, 20774, 5655, 7, 292, 1875, 68, 481, 1166, 272, 625, 93, 989, 7721, 13242, 1721, 53, 10056, 8682, 204, 268, 10883, 68, 1270, 289, 1875, 68, 481, 1166, 272, 625, 93, 989, 7721, 13242, 1721, 53, 10056, 7721, 20774, 5655, 1339, 204, 268, 407, 463, 204, 305, 388, 20774, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 4729, 3186, 204, 305, 388, 2463, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 528, 14826, 505, 499, 10963, 68, 2463, 528, 14826, 505, 499, 359, 3186, 204, 305, 388, 1778, 559, 10883, 68, 1270, 19, 505, 499, 20774, 528, 14826, 505, 499, 85, 24, 68, 7111, 68, 1778, 3186, 204, 305, 314, 3168, 1967, 904, 10883, 3986, 204, 268, 1211, 204, 264, 902, 31, 204, 268, 456, 499, 1962, 2084, 424, 31, 4520, 1945, 3583, 431, 204, 268, 407, 2087, 204, 204, 461, 1137, 68, 9408, 68, 481, 13, 2463, 68, 359, 31, 394, 17, 35708, 31, 394, 14, 393, 458, 31, 204, 264, 320, 204, 264, 1385, 5197, 424, 348, 273, 2442, 19, 204, 204, 264, 457, 31, 204, 268, 2442, 68, 359, 322, 325, 330, 334, 1222, 302, 275, 2442, 19, 204, 268, 35708, 322, 325, 330, 334, 35708, 4634, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 3271, 5197, 424, 19, 204, 264, 320, 204, 264, 5197, 68, 553, 68, 546, 289, 283, 7, 18747, 68, 2387, 4235, 43727, 98, 367, 1538, 68, 9408, 367, 272, 12737, 4235, 2463, 68, 359, 98, 367, 1775, 68, 14793, 19, 3039, 7, 204, 264, 810, 31, 204, 268, 440, 1451, 13, 9408, 68, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 31, 204, 305, 5197, 68, 481, 289, 1875, 19, 986, 13, 553, 14, 204, 305, 407, 551, 32473, 1166, 87, 68, 3039, 6925, 3834, 3273, 87, 65, 83, 528, 21722, 3834, 3273, 83, 528, 11070, 348, 35513, 292, 5197, 68, 481, 19, 505, 499, 14793, 528, 10336, 66, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 508, 1193, 31, 463, 9408, 68, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 456, 13, 75, 7, 1962, 2084, 31, 463, 9408, 68, 553, 68, 546, 743, 204, 268, 407, 1306, 204, 204, 461, 838, 68, 7912, 68, 1775, 13, 20774, 68, 1270, 31, 1135, 17, 5197, 68, 481, 31, 458, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 666, 275, 2423, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 10883, 68, 1270, 322, 873, 330, 334, 4989, 10883, 1483, 19, 204, 268, 5197, 68, 481, 322, 655, 330, 334, 3271, 5197, 424, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 2423, 2084, 424, 19, 204, 264, 320, 204, 264, 407, 463, 204, 268, 388, 14793, 559, 5197, 68, 481, 17, 204, 268, 388, 2463, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 2463, 68, 359, 3186, 204, 268, 388, 20774, 68, 359, 559, 10883, 68, 1270, 19, 505, 499, 20774, 68, 359, 3186, 204, 268, 388, 1778, 559, 10883, 68, 1270, 19, 505, 499, 1778, 3186, 204, 268, 314, 3168, 881, 904, 10883, 3986, 204, 264, 1211, 204, 204, 461, 1352, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4697, 68, 553, 13, 4697, 68, 553, 68, 546, 31, 394, 17, 35708, 31, 394, 17, 919, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 4308, 510, 329, 1900, 275, 2423, 2084, 424, 19, 204, 204, 264, 457, 31, 204, 268, 4308, 68, 553, 68, 546, 322, 325, 330, 334, 832, 311, 275, 4308, 510, 19, 204, 268, 35708, 322, 325, 330, 334, 35708, 4634, 19, 204, 268, 919, 68, 546, 322, 325, 330, 334, 919, 832, 348, 275, 2423, 2084, 424, 19, 204, 264, 320, 204, 264, 1875, 68, 481, 289, 1137, 68, 1775, 68, 553, 13, 4697, 68, 553, 68, 546, 14, 204, 264, 10883, 68, 1270, 289, 1967, 68, 20774, 68, 1270, 13, 1775, 68, 481, 14, 204, 264, 5197, 68, 481, 289, 1137, 68, 9408, 68, 481, 13, 20774, 68, 1270, 19, 505, 499, 2463, 68, 359, 3186, 35708, 14, 204, 264, 2423, 68, 1775, 289, 838, 68, 7912, 68, 1775, 13, 20774, 68, 1270, 17, 5197, 68, 481, 14, 204, 264, 919, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 546, 17, 35708, 17, 283, 1954, 20774, 68, 1270, 19, 505, 611, 20774, 68, 359, 30188, 367, 481, 19, 1775, 431, 204, 264, 1127, 19, 8240, 13, 865, 19, 546, 19, 7094, 13, 1420, 68, 553, 68, 546, 659, 1337, 68, 779, 34, 1021, 14, 204, 264, 440, 1451, 13, 1420, 68, 553, 68, 546, 17, 388, 92, 431, 448, 510, 31, 204, 268, 1875, 19, 4573, 13, 7912, 68, 1775, 17, 510, 14, 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, 832, 68, 10183, 289, 14652, 40, 1292, 1153, 68, 10183, 11291, 204, 264, 832, 68, 14793, 289, 14652, 18747, 68, 2387, 11291, 204, 264, 832, 68, 7912, 289, 14652, 22226, 68, 481, 68, 2375, 11291, 204, 264, 4245, 11555, 289, 2470, 43727, 18, 85, 2177, 47848, 379, 43727, 18, 85, 3268, 47848, 379, 43727, 18, 85, 5091, 68, 839, 204, 264, 1418, 289, 435, 204, 264, 33132, 68, 1608, 289, 1137, 68, 1775, 68, 553, 499, 6992, 68, 32616, 1291, 19, 3039, 431, 204, 204, 264, 348, 35708, 292, 551, 3350, 11555, 64, 541, 2440, 204, 268, 4308, 68, 1217, 289, 1127, 19, 546, 19, 1541, 13, 546, 68, 10183, 17, 35708, 14, 204, 268, 397, 1127, 19, 546, 19, 4332, 13, 4697, 68, 1217, 330, 204, 305, 348, 4308, 68, 553, 292, 1127, 19, 8970, 13, 4697, 68, 1217, 330, 204, 485, 397, 4308, 68, 553, 19, 9641, 11837, 3039, 6471, 204, 895, 4308, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 4697, 68, 1217, 17, 4308, 68, 553, 14, 204, 895, 1352, 68, 4697, 68, 553, 13, 4697, 68, 553, 68, 546, 17, 35708, 17, 832, 68, 7912, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 55, 4878, 281, 8080, 302, 22511, 322, 55, 14514, 14, 5181, 1529, 26982, 338, 20523, 47408, 777, 204, 204, 673, 17178, 1352, 32759, 302, 3420, 14113, 31, 204, 204, 22, 19, 930, 33810, 1295, 1416, 716, 262, 338, 12898, 13652, 27892, 2129, 31, 6194, 329, 3682, 17, 15608, 1408, 17, 28639, 329, 11205, 17, 14785, 17, 11833, 329, 3682, 17, 2232, 30999, 329, 37628, 657, 17, 12447, 204, 262, 338, 37071, 27892, 2129, 204, 262, 338, 27673, 20, 11158, 1982, 7103, 204, 262, 338, 346, 33705, 31, 204, 263, 540, 480, 33040, 23669, 11336, 204, 263, 540, 1752, 275, 1646, 542, 496, 618, 444, 2927, 440, 1144, 7686, 18684, 302, 275, 3258, 302, 273, 800, 542, 204, 204, 23, 19, 930, 48139, 1295, 1416, 204, 262, 338, 1198, 4069, 329, 2219, 886, 9037, 447, 974, 970, 9429, 204, 262, 338, 40294, 7035, 31, 9264, 437, 1348, 329, 273, 1066, 4362, 80, 17848, 456, 3597, 397, 1422, 353, 273, 7370, 292, 275, 1348, 496, 8598, 719, 311, 275, 800, 1066, 17, 724, 204, 204, 262, 930, 5063, 4626, 204, 262, 4429, 31, 6665, 289, 463, 24, 17, 887, 17, 681, 17, 720, 17, 368, 17, 1132, 17, 1233, 1522, 724, 289, 1598, 204, 262, 3215, 31, 3597, 204, 262, 23967, 31, 334, 12827, 463, 24, 17, 1233, 1522, 463, 24, 17, 681, 17, 720, 1522, 463, 25, 17, 1132, 98, 881, 719, 311, 275, 800, 1066, 17, 724, 34, 1258, 204, 204, 24, 19, 930, 43659, 787, 5181, 1529, 1416, 204, 262, 338, 10721, 329, 11414, 302, 1576, 497, 275, 5052, 683, 204, 262, 338, 346, 33705, 1844, 31, 9264, 273, 782, 17, 13776, 2589, 2219, 9499, 302, 6072, 3113, 292, 275, 782, 204, 204, 262, 930, 5063, 4626, 204, 262, 4429, 31, 808, 23338, 1031, 204, 262, 3215, 31, 808, 402, 3548, 204, 262, 23967, 31, 3182, 275, 2219, 9991, 302, 6072, 322, 4397, 17, 12044, 17, 27010, 17, 6623, 6268, 204, 204, 25, 19, 930, 24928, 5181, 1529, 1416, 204, 262, 338, 10721, 204, 262, 338, 11449, 5710, 361, 14514, 36, 204, 262, 338, 2935, 618, 872, 770, 348, 361, 14514, 36, 0, 8, 21118, 322, 72, 14, 10651, 1346, 812, 24761, 1257, 43442, 23837, 17, 471, 1796, 70, 17790, 335, 4732, 204, 204, 531, 1498, 532, 5006, 17, 1884, 204, 647, 5683, 204, 204, 461, 881, 68, 47231, 68, 633, 68, 546, 13, 546, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 5276, 273, 31383, 311, 275, 1136, 302, 273, 832, 397, 490, 5409, 2964, 2861, 1337, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 537, 832, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 832, 440, 273, 31383, 4327, 311, 275, 1136, 397, 3600, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 832, 353, 508, 1392, 329, 1583, 508, 2861, 1136, 440, 273, 31383, 204, 264, 397, 832, 329, 508, 832, 19, 9641, 4195, 4448, 204, 268, 314, 1255, 273, 31383, 311, 275, 1136, 302, 275, 832, 204, 268, 407, 832, 465, 22405, 204, 264, 407, 832, 204, 204, 461, 3142, 68, 47231, 68, 531, 68, 546, 0 ]

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