gartland/finewebedu-1b-49K · Datasets at Hugging Face

input_ids sequencelengths 2.05k 2.05k	attention_mask sequencelengths 2.05k 2.05k
[ 461, 16975, 11582, 199, 2029, 500, 262, 2659, 12, 27586, 288, 24342, 284, 11582, 31626, 382, 83, 2957, 12, 735, 493, 349, 2081, 579, 311, 4541, 288, 6611, 14, 12282, 281, 2296, 288, 262, 4541, 289, 3559, 14, 199, 35668, 382, 83, 22504, 281, 4991, 14, 17168, 2967, 281, 5842, 3780, 351, 6611, 17711, 2063, 284, 6270, 880, 281, 262, 1115, 14, 3218, 22504, 281, 4991, 14, 7065, 839, 1106, 13041, 402, 9050, 3780, 258, 1014, 281, 6611, 332, 1910, 1148, 22924, 288, 43305, 14, 199, 461, 4541, 993, 15592, 284, 4935, 15722, 1148, 284, 1367, 37578, 281, 12455, 17222, 288, 7391, 867, 3412, 710, 5334, 33581, 414, 7419, 907, 327, 31626, 14, 507, 867, 1467, 1680, 11128, 44367, 311, 24314, 289, 15110, 12088, 44864, 9231, 409, 12455, 11646, 834, 382, 83, 36361, 14, 199, 4840, 11582, 5204, 402, 262, 3666, 281, 262, 1115, 12, 500, 281, 867, 2324, 311, 36462, 352, 660, 993, 4415, 981, 289, 310, 14, 2187, 1245, 1394, 2072, 83, 382, 867, 25641, 409, 262, 8731, 327, 1385, 284, 24487, 14, 199, 2172, 700, 456, 279, 402, 10366, 14, 3019, 1380, 12, 11582, 46112, 1581, 12, 199, 1289, 42615, 1514, 550, 12, 11387, 382, 342, 12, 538, 445, 311, 402, 747, 1483, 1018, 8846, 27, 339, 848, 747, 12628, 8848, 12, 288, 803, 310, 21963, 289, 438, 726, 1033, 402, 1018, 3394, 14, 1544, 339, 749, 2914, 4582, 343, 289, 262, 650, 12, 339, 749, 432, 409, 500, 10844, 281, 962, 902, 23161, 14, 1239, 349, 3312, 284, 2931, 12, 10129, 12, 843, 12628, 710, 3064, 2400, 1765, 1512, 10129, 327, 262, 9006, 12, 432, 2914, 281, 1159, 11614, 12, 538, 281, 1159, 6042, 971, 199, 1289, 16276, 1, 1018, 17450, 12, 1159, 11614, 1, 1226, 2914, 7203, 550, 27, 719, 354, 1530, 258, 817, 283, 409, 262, 7752, 13, 28324, 12, 339, 20353, 354, 4991, 14, 331, 2521, 1598, 414, 1776, 2104, 258, 4053, 289, 262, 16684, 971, 199, 1289, 41, 1206, 432, 1530, 12, 339, 414, 432, 3185, 281, 262, 7752, 13, 28324, 1198, 16851, 11582, 27, 543, 71, 1727, 893, 13, 28324, 12, 339, 20353, 354, 12, 414, 500, 332, 339, 683, 284, 1644, 27, 4301, 885, 4969, 12, 343, 289, 262, 15729, 281, 942, 590, 3270, 356, 333, 27, 538, 343, 289, 262, 2650, 25719, 281, 262, 6935, 12, 339, 524, 432, 693, 843, 356, 6485, 971, 199, 4765, 1027, 18658, 311, 14558, 284, 24487, 382, 83, 7203, 635, 10366, 14, 45769, 5937, 867, 281, 6064, 18417, 382, 83, 4853, 8800, 289, 11582, 14, 199, 1289, 13445, 1569, 9110, 25682, 24487, 12, 543, 42524, 2260, 333, 262, 1189, 281, 1959, 343, 14549, 893, 1, 1729, 840, 378, 1530, 402, 717, 23755, 745, 35297, 1928, 31, 1583, 5606, 867, 289, 5849, 9452, 1512, 289, 5606, 867, 907, 289, 1284, 281, 717, 258, 2384, 9110, 199, 41, 1037, 356, 3699, 332, 409, 262, 3896, 281, 31626, 382, 83, 3050, 357, 638, 579, 12, 1989, 12599, 1910, 597, 2466, 284, 8422, 327, 262, 19251, 4141, 284, 9552, 14, 42529, 382, 84, 2257, 2721, 3699, 12, 339, 693, 538, 1755, 445, 14, 199, 8314, 12599, 1910, 597, 1393, 284, 3544, 13, 15920, 28628, 289, 6246, 351, 12991, 4576, 281, 7989, 10373, 289, 1755, 1431, 283, 12622, 352, 474, 2888, 1587, 288, 867, 13713, 27, 258, 3282, 332, 34583, 284, 258, 3030, 5662, 726, 2421, 2684, 14, 507, 262, 2888, 1587, 12, 552, 1115, 284, 332, 1027, 3429, 3753, 258, 3878, 7992, 414, 3366, 409, 5565, 931, 263, 39111, 584, 14, 3218, 3849, 414, 4642, 402, 742, 262, 661, 284, 262, 2004, 538, 262, 829, 289, 1629, 710, 935, 867, 3526, 1794, 1804, 5662, 726, 262, 904, 683, 2421, 2063, 14, 199, 48691, 31626, 382, 83, 1798, 352, 4963, 10923, 382, 83, 619, 1745, 258, 23919, 1286, 538, 339, 2668, 332, 31626, 382, 83, 1672, 333, 262, 904, 311, 747, 1098, 976, 622, 10923, 382, 83, 14, 362, 888, 281, 11582, 382, 83, 2324, 7649, 513, 11335, 622, 332, 281, 262, 4995, 640, 538, 356, 311, 747, 1098, 11031, 14, 199, 31756, 2928, 382, 83, 1798, 877, 25728, 288, 11847, 258, 4875, 12, 258, 1450, 281, 6611, 14, 11582, 382, 83, 1798, 683, 747, 717, 7258, 9430, 14, 10379, 284, 867, 1011, 8056, 12, 8453, 69, 345, 2457, 3751, 918, 993, 6918, 288, 11847, 262, 1027, 4544, 281, 4541, 288, 1988, 13, 21077, 6611, 343, 680, 1378, 45156, 14, 507, 500, 867, 14999, 11582, 12842, 6611, 281, 1036, 288, 2296, 12, 262, 2379, 281, 500, 288, 11021, 281, 5076, 327, 942, 2379, 14, 199, 42524, 619, 432, 438, 504, 874, 3007, 2478, 343, 10923, 1206, 538, 907, 343, 351, 1043, 12901, 8316, 371, 12, 339, 6105, 432, 332, 11582, 31626, 14650, 4052, 284, 597, 15030, 281, 262, 1025, 289, 981, 12, 11240, 288, 262, 14145, 281, 9092, 14, 20663, 8724, 4898, 10499, 199, 3582, 19247, 34, 2796, 31871, 20678, 58, 396, 3355, 6817, 199, 15516, 26, 4107, 1642, 12, 3610, 199, 2918, 258, 4426, 32257, 12292, 2839, 284, 2764, 3596, 12, 845, 661, 2239, 568, 289, 4456, 258, 28777, 2534, 421, 2926, 359, 932, 579, 1345, 2882, 432, 914, 262, 6985, 12, 48298, 1345, 281, 957, 12, 538, 1345, 327, 500, 661, 12, 409, 500, 5531, 12, 409, 500, 1602, 14, 363, 4087, 1532, 1480, 27, 262, 9625, 10937, 14175, 7388, 281, 258, 7965, 6160, 288, 258, 6215, 4009, 8321, 1345, 2562, 409, 258, 38777, 32814, 284, 4760, 3449, 2362, 20284, 6715, 12, 4289, 281, 262, 1717, 3048, 327, 8724, 12, 414, 5763, 409, 262, 1136, 2367, 4242, 5681, 559, 1081, 7470, 333, 9190, 273, 6093, 14, 809, 2219, 262, 18105, 284, 6867, 12, 900, 513, 622, 637, 829, 281, 16241, 2253, 288, 1121, 24314, 1148, 281, 262, 4518, 902, 13, 3034, 4986, 281, 1345, 18857, 14, 507, 258, 2972, 13, 471, 2534, 409, 262, 5713, 12, 378, 288, 23991, 65, 312, 1977, 5792, 12, 3077, 281, 262, 1262, 13, 43559, 1448, 19880, 29745, 281, 16645, 31194, 5476, 262, 5213, 288, 5529, 30443, 37035, 281, 1345, 14, 6715, 1250, 1345, 577, 281, 262, 19880, 41894, 13620, 281, 4231, 258, 1159, 30959, 14, 1052, 354, 1180, 409, 735, 6028, 1508, 288, 3335, 288, 808, 13, 5577, 12, 1345, 311, 343, 5214, 343, 726, 536, 3061, 281, 981, 12, 1229, 2518, 288, 12221, 30547, 199, 461, 4533, 7093, 289, 39683, 352, 6082, 2209, 12, 590, 3567, 13813, 2182, 579, 735, 7093, 289, 310, 262, 2076, 281, 1345, 284, 474, 957, 559, 2570, 14, 4081, 4772, 2239, 12, 747, 6105, 12, 416, 262, 2492, 1606, 2745, 281, 300, 340, 37764, 289, 1345, 1556, 29394, 29306, 332, 1042, 5352, 349, 27898, 1914, 409, 32317, 289, 848, 3466, 327, 351, 5253, 13559, 3378, 5337, 14, 5457, 4354, 20814, 332, 653, 1394, 731, 9455, 2845, 438, 747, 650, 1910, 327, 262, 1472, 1880, 281, 5968, 26, 25354, 12, 5690, 12, 37942, 1625, 1345, 14, 4242, 827, 5352, 2403, 12968, 1345, 3570, 289, 258, 3620, 284, 5968, 6453, 14, 12102, 310, 15546, 280, 262, 955, 332, 2845, 1362, 1438, 1345, 262, 918, 493, 2238, 1206, 2882, 357, 1284, 493, 1206, 14, 1265, 3623, 3141, 289, 6968, 332, 1323, 262, 4058, 289, 1345, 5793, 4812, 357, 4832, 1394, 322, 325, 568, 333, 262, 6947, 12, 289, 1345, 352, 34452, 333, 262, 9991, 5263, 357, 14327, 3011, 284, 262, 14454, 12, 1817, 559, 957, 349, 6997, 568, 333, 1765, 2736, 14, 199, 461, 1661, 281, 19880, 461, 37840, 5307, 327, 24240, 16093, 2882, 488, 520, 634, 333, 262, 1389, 13, 37073, 1636, 327, 262, 1467, 6252, 2370, 2882, 288, 641, 1969, 13, 1925, 13, 10184, 6440, 327, 2074, 690, 24091, 2021, 25237, 311, 27196, 289, 262, 21901, 37867, 327, 1345, 559, 1040, 1436, 1741, 14, 1852, 540, 262, 2182, 900, 20284, 6715, 559, 5713, 2534, 27, 552, 3628, 3567, 660, 867, 957, 501, 1352, 4330, 12, 14009, 288, 1371, 2128, 635, 474, 689, 6608, 5355, 311, 2086, 2477, 14, 6715, 3361, 867, 332, 1106, 3156, 4529, 524, 438, 629, 1345, 2048, 12, 258, 2595, 2497, 281, 19880, 2463, 24799, 17491, 548, 16093, 412, 310, 5820, 742, 402, 258, 720, 590, 311, 8321, 500, 2156, 11480, 402, 5355, 284, 262, 1170, 13, 11025, 904, 14, 199, 1201, 311, 577, 281, 258, 2990, 7164, 3396, 349, 1952, 579, 1345, 14, 12102, 27629, 812, 831, 258, 47683, 13, 5032, 3276, 630, 705, 327, 474, 957, 289, 1345, 288, 3573, 332, 650, 4746, 5355, 311, 650, 3188, 289, 513, 4867, 30607, 14, 990, 13408, 21548, 579, 496, 14, 51, 14, 1005, 8058, 3053, 536, 1867, 284, 2018, 288, 4614, 12, 4932, 352, 262, 2421, 13, 3801, 13, 688, 1327, 6563, 289, 853, 2845, 643, 4373, 12, 848, 2401, 16265, 289, 929, 616, 474, 957, 327, 13743, 5494, 288, 1077, 13, 80, 4662, 5948, 2929, 281, 914, 5503, 602, 289, 29589, 761, 333, 474, 1011, 27, 1345, 3570, 8576, 421, 31, 77, 31, 5813, 14, 199, 12253, 20087, 579, 1345, 2770, 468, 289, 18203, 263, 352, 680, 6350, 2820, 579, 5968, 12, 2575, 3615, 12, 9172, 288, 1661, 14, 2479, 6940, 1345, 8601, 622, 5243, 31, 3963, 957, 962, 6883, 402, 33337, 409, 2435, 13136, 288, 3156, 4529, 31, 3963, 493, 6997, 1765, 635, 21426, 1345, 311, 16574, 352, 5127, 416, 20498, 559, 10046, 288, 432, 474, 1011, 31, 3013, 281, 656, 2160, 349, 1480, 5123, 289, 310, 8018, 402, 258, 2123, 2105, 281, 1019, 363, 1930, 3612, 258, 9909, 2154, 595, 1207, 262, 2758, 2018, 281, 1345, 1026, 438, 992, 289, 799, 289, 262, 7164, 14, 23752, 352, 1121, 19837, 284, 9204, 7231, 288, 7513, 22206, 12, 629, 2682, 438, 2580, 2238, 14060, 2882, 409, 1602, 3853, 258, 1670, 1480, 14060, 2882, 289, 4644, 258, 2980, 5360, 327, 1345, 14, 1022, 438, 4746, 262, 1789, 1293, 4146, 1508, 660, 288, 1829, 1345, 7652, 284, 2249, 12, 10909, 8952, 332, 412, 928, 680, 2255, 281, 641, 3903, 284, 2983, 1480, 14, 1022, 349, 6007, 12, 416, 351, 9204, 5148, 12, 289, 735, 4979, 1345, 311, 258, 18241, 332, 412, 310, 3287, 8913, 352, 635, 638, 349, 1480, 748, 536, 13324, 5469, 333, 262, 2758, 1831, 12, 288, 289, 735, 4979, 356, 311, 3069, 289, 660, 332, 1831, 7799, 284, 262, 753, 1274, 14, 199, 11641, 590, 1019, 1345, 12, 284, 2249, 288, 2983, 10831, 12, 349, 2751, 258, 11364, 1644, 332, 1345, 311, 1765, 513, 622, 258, 918, 327, 30216, 2845, 289, 648, 751, 8099, 27, 513, 622, 258, 918, 327, 418, 601, 1925, 2845, 289, 4430, 751, 7036, 27, 513, 622, 258, 2165, 41201, 494, 18241, 14, 8724, 12, 284, 474, 1644, 12, 311, 258, 3069, 577, 281, 12875, 2052, 288, 1326, 2882, 552, 976, 918, 332, 957, 1242, 2302, 12, 11687, 12, 19018, 12, 12621, 32757, 288, 5189, 309, 8301, 9758, 14, 199, 14662, 648, 1261, 3292, 629, 2182, 38979, 12, 1229, 2182, 579, 1345, 559, 16200, 12, 513, 23328, 1878, 26, 311, 638, 2081, 351, 9204, 357, 9547, 713, 327, 4518, 4529, 12, 1527, 12, 357, 327, 262, 1530, 893, 288, 9822, 5400, 332, 1745, 289, 6246, 564, 992, 720, 559, 1345, 31, 1057, 1920, 1402, 656, 288, 536, 2182, 840, 734, 468, 1235, 735, 1285, 310, 3188, 719, 957, 1345, 1098, 14, 1844, 524, 354, 853, 4696, 31, 199, 26561, 412, 310, 4073, 333, 635, 5506, 15680, 5244, 12, 717, 343, 1400, 357, 31254, 12, 311, 4073, 643, 351, 570, 19703, 1036, 14, 10508, 268, 311, 262, 4956, 488, 311, 4331, 416, 258, 533, 559, 27948, 994, 2575, 488, 10553, 11113, 14, 617, 412, 310, 5506, 352, 4696, 357, 11037, 635, 2872, 311, 4696, 2579, 357, 311, 7295, 262, 11037, 2743, 14, 654, 412, 4151, 994, 29487, 2575, 14, 1072, 1208, 635, 777, 661, 438, 2575, 1323, 1059, 258, 29265, 635, 552, 6610, 311, 2065, 5506, 12, 357, 831, 2152, 3693, 590, 5752, 288, 2785, 16814, 14, 199, 1406, 412, 1438, 310, 8745, 402, 1567, 690, 19631, 12, 26887, 12, 39364, 12, 6358, 258, 13279, 8030, 12, 10094, 15619, 12, 14822, 288, 13686, 14, 6019, 8309, 676, 13343, 333, 2612, 428, 1827, 17794, 10487, 333, 11526, 281, 653, 16762, 885, 32019, 288, 432, 327, 12041, 14, 199, 11701, 262, 8854, 281, 1774, 288, 13139, 284, 262, 8854, 281, 262, 3542, 778, 288, 735, 524, 354, 853, 31, 14854, 23906, 1, 1052, 354, 5192, 2421, 9545, 289, 1010, 552, 354, 693, 660, 2595, 445, 311, 12, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 354, 438, 289, 693, 258, 1670, 579, 3173, 21509, 907, 719, 354, 412, 1438, 1442, 313, 500, 281, 262, 4531, 2864, 14, 199, 3582, 26, 16351, 16506, 199, 13250, 1143, 12, 3534, 199, 33, 3173, 10314, 311, 351, 5914, 831, 354, 288, 262, 7177, 281, 258, 1448, 488, 13052, 354, 1497, 1627, 2074, 488, 710, 5197, 12549, 351, 33391, 694, 9181, 1409, 14, 362, 3173, 10314, 1770, 5840, 2182, 717, 343, 26, 199, 461, 3906, 281, 262, 3173, 288, 262, 21509, 12643, 12, 719, 726, 12, 349, 2672, 5476, 284, 262, 21509, 5914, 12, 538, 1770, 356, 559, 3241, 8335, 14, 199, 1683, 354, 1010, 262, 10123, 2075, 288, 354, 3343, 1261, 28024, 487, 1600, 12, 2576, 568, 45631, 281, 6637, 288, 7389, 13, 13137, 14854, 488, 2608, 258, 5234, 9630, 14, 199, 13137, 6720, 368, 2591, 7790, 26, 199, 2172, 354, 4456, 262, 7826, 625, 5514, 3173, 2, 357, 625, 5514, 3173, 10314, 1634, 625, 5514, 2, 311, 11427, 289, 487, 2379, 288, 29312, 9854, 5514, 343, 284, 4541, 2, 357, 625, 5514, 343, 284, 1625, 4238, 16694, 507, 536, 1798, 12, 258, 1625, 3173, 10314, 3411, 354, 513, 2379, 622, 258, 23521, 10314, 14, 1226, 412, 1770, 6056, 12, 12917, 12, 288, 18871, 3566, 1625, 3173, 1323, 9059, 258, 12185, 357, 13949, 8289, 416, 262, 10128, 288, 41789, 14, 507, 689, 1948, 625, 5514, 3173, 2, 3632, 1438, 1555, 354, 3486, 12, 538, 332, 559, 432, 1776, 262, 1617, 797, 284, 445, 3962, 262, 2085, 1625, 311, 1697, 747, 22607, 24056, 579, 262, 3906, 281, 262, 3173, 14, 368, 2591, 7790, 3173, 9399, 513, 9307, 288, 6285, 333, 487, 3542, 8289, 289, 6056, 12, 12917, 12, 288, 16377, 262, 1448, 14, 199, 13137, 12, 7236, 13, 9026, 357, 426, 30669, 31, 199, 815, 6742, 7164, 12, 638, 559, 432, 992, 2901, 831, 625, 5514, 3173, 1634, 625, 14795, 2138, 3173, 1634, 288, 625, 38, 30669, 363, 13137, 288, 7236, 13, 9026, 14854, 34586, 507, 536, 1798, 12, 354, 4911, 4456, 656, 2519, 738, 32046, 12, 288, 262, 24773, 281, 1625, 3173, 288, 262, 14255, 281, 1558, 13, 13579, 3173, 3315, 352, 552, 1382, 333, 689, 2160, 14, 1444, 12, 262, 4758, 4726, 281, 1625, 3173, 14531, 6956, 416, 262, 4758, 4726, 281, 1558, 13, 13579, 3173, 12, 288, 262, 30197, 6350, 942, 10123, 8614, 343, 808, 14, 1072, 258, 1707, 6149, 281, 262, 2901, 12, 1010, 14760, 288, 4236, 17806, 14, 1072, 258, 2505, 4414, 416, 262, 625, 5514, 3173, 2, 1878, 12, 1010, 4595, 7236, 11088, 4934, 270, 262, 8626, 281, 6637, 14854, 14, 1072, 262, 625, 14795, 13, 13579, 2, 5148, 12, 1010, 4595, 6637, 14854, 311, 15561, 14980, 14691, 14, 199, 11820, 7106, 288, 2468, 2509, 915, 14, 199, 3487, 2519, 2757, 289, 885, 6759, 281, 1625, 12, 34353, 21509, 14, 328, 2468, 2509, 915, 10314, 2919, 354, 500, 262, 23206, 281, 258, 1625, 3173, 10314, 12, 538, 7631, 552, 16595, 14, 4507, 258, 2468, 2509, 915, 10314, 12, 354, 438, 289, 4234, 726, 14094, 694, 262, 1027, 2519, 343, 262, 2676, 3173, 14, 507, 888, 12, 445, 6814, 2987, 288, 10128, 590, 1321, 289, 7630, 1625, 3173, 288, 911, 848, 474, 10403, 3822, 23521, 14, 507, 2253, 12, 2331, 500, 1625, 288, 1558, 13, 13579, 3173, 311, 551, 2468, 2509, 915, 279, 14, 1444, 12, 16550, 354, 412, 4234, 625, 5514, 3173, 2, 332, 3679, 1438, 2468, 2509, 915, 279, 14, 1072, 1208, 12, 719, 354, 2103, 3173, 288, 4331, 356, 694, 258, 625, 15307, 7106, 2, 10314, 12, 356, 710, 17170, 343, 1625, 3173, 12, 538, 356, 3679, 1438, 2468, 2509, 915, 14, 507, 888, 12, 635, 354, 4234, 1765, 643, 262, 1262, 7106, 12, 354, 1803, 616, 500, 2468, 44740, 288, 2379, 281, 9303, 14, 199, 19116, 1476, 288, 1608, 30622, 14, 199, 3487, 2519, 1362, 1438, 2081, 2757, 289, 21509, 12, 288, 493, 3343, 14866, 284, 1339, 281, 262, 4414, 281, 1625, 3173, 1862, 14, 5168, 30622, 5145, 289, 3173, 363, 14420, 1078, 16204, 409, 3367, 717, 343, 31652, 2581, 14, 1236, 9, 332, 354, 412, 6059, 288, 3391, 1323, 9059, 14, 1444, 12, 354, 1362, 1438, 438, 262, 1025, 289, 1644, 262, 2138, 3518, 12, 288, 354, 619, 432, 438, 262, 1025, 289, 6056, 288, 18871, 3566, 262, 3173, 14, 507, 536, 1798, 12, 1608, 30622, 311, 23521, 3173, 14, 16045, 1476, 311, 907, 513, 23462, 14, 507, 888, 12, 2785, 1476, 311, 5251, 3173, 14, 1226, 412, 670, 356, 327, 258, 3146, 1673, 281, 650, 363, 14420, 2046, 357, 3678, 1741, 9, 288, 911, 354, 3343, 3478, 289, 2242, 289, 2832, 1059, 356, 14, 199, 17471, 19208, 12960, 13593, 14324, 363, 25305, 6476, 595, 199, 2172, 354, 10360, 3173, 3553, 12, 3012, 416, 258, 28043, 357, 37895, 12, 357, 3012, 416, 262, 28043, 559, 4449, 2158, 12, 354, 1770, 438, 289, 4968, 402, 15038, 258, 4011, 332, 354, 2613, 262, 21509, 2519, 14, 654, 625, 18721, 13, 8518, 2, 5914, 332, 747, 552, 2421, 12017, 311, 3654, 1257, 343, 258, 6779, 6476, 14, 1052, 354, 20439, 258, 1203, 6326, 281, 3173, 352, 258, 2491, 12, 288, 354, 929, 258, 3972, 289, 10214, 262, 5914, 12, 332, 3972, 1770, 25863, 357, 22952, 19820, 262, 6779, 6476, 14, 199, 5008, 1488, 20427, 281, 23521, 3173, 2967, 629, 1643, 281, 11323, 12274, 288, 4520, 21509, 6087, 14, 362, 2519, 4214, 4301, 12, 538, 719, 354, 1478, 1927, 3173, 289, 17170, 12, 262, 2559, 284, 2519, 281, 1555, 288, 15780, 349, 1677, 14, 3918, 12, 432, 13, 1955, 13, 37557, 2672, 17170, 327, 356, 352, 909, 1078, 4417, 17458, 14, 199, 3792, 281, 262, 2559, 281, 4520, 21509, 1398, 26, 199, 31900, 1555, 14, 1023, 352, 689, 2096, 12, 3173, 3253, 1098, 635, 354, 4319, 513, 281, 356, 14, 199, 37, 560, 281, 9689, 14, 8169, 4520, 23906, 12, 354, 1770, 438, 289, 3740, 258, 4106, 13216, 3518, 363, 9270, 1257, 343, 258, 1319, 1931, 357, 10314, 1931, 9, 327, 963, 6865, 6056, 281, 262, 1448, 14, 1775, 262, 536, 1158, 12, 4520, 23906, 1485, 354, 352, 258, 2123, 12, 10649, 13, 3685, 13216, 3518, 12, 488, 2006, 356, 992, 4176, 289, 1037, 635, 354, 713, 289, 5559, 26559, 262, 3173, 14, 199, 37, 295, 1140, 10114, 281, 23906, 14, 20789, 3744, 281, 660, 748, 23906, 354, 1011, 12, 288, 660, 748, 9653, 354, 5192, 2260, 6865, 12, 311, 258, 30726, 12, 1788, 3905, 14, 2855, 4520, 21509, 2687, 1485, 351, 2477, 1971, 488, 311, 7906, 8198, 635, 354, 5959, 357, 17455, 258, 6056, 281, 332, 2491, 559, 3173, 14, 1295, 5923, 412, 551, 14393, 21509, 1853, 2973, 10129, 1307, 487, 10649, 14, 199, 2358, 1352, 513, 579, 4520, 21509, 416, 258, 1501, 28043, 12, 2576, 568, 629, 281, 262, 2098, 2075, 26, 199, 49, 535, 1397, 432, 13, 1955, 13, 37557, 288, 10569, 412, 3524, 16841, 4520, 23906, 327, 9611, 2096, 752, 13831, 26457, 80, 14, 1072, 513, 1020, 12, 2576, 568, 680, 5316, 289, 262, 9611, 14854, 4220, 316, 4284, 12, 288, 262, 9611, 14854, 4220, 316, 4284, 25402, 14, 1072, 1937, 1020, 579, 262, 4520, 21509, 281, 9611, 3173, 12, 935, 11081, 12960, 13593, 19385, 14, 199, 1683, 354, 853, 9611, 3173, 416, 13831, 26457, 80, 357, 536, 3173, 41789, 590, 648, 352, 432, 13, 1955, 13, 37557, 12, 354, 619, 713, 289, 647, 289, 262, 300, 17032, 4449, 2158, 289, 12366, 487, 11081, 10314, 11013, 14, 1072, 513, 1020, 12, 2576, 568, 262, 13831, 26457, 80, 4220, 316, 3140, 46367, 559, 6900, 289, 262, 9611, 300, 17032, 4449, 12327, 14, 199, 26209, 2576, 13831, 26457, 80, 13476, 753, 289, 935, 719, 638, 559, 258, 4520, 21509, 18264, 1448, 327, 262, 3173, 354, 3343, 4721, 284, 14, 1052, 13831, 26457, 80, 2816, 1438, 2967, 332, 1319, 357, 719, 354, 713, 513, 9653, 622, 354, 412, 1037, 409, 13831, 26457, 80, 12, 3177, 327, 625, 24571, 21509, 432, 13, 1955, 13, 37557, 3173, 2, 357, 914, 625, 1728, 13, 1955, 13, 37557, 3173, 1315, 1072, 1208, 12, 635, 384, 438, 351, 13752, 281, 21959, 2096, 12, 34923, 288, 12649, 432, 13, 1955, 13, 37557, 412, 5959, 1604, 1313, 2096, 357, 552, 6056, 281, 12289, 33891, 832, 752, 13831, 26457, 80, 14, 1052, 384, 3343, 568, 281, 5407, 12, 357, 354, 5192, 738, 616, 487, 4554, 21959, 18264, 12, 354, 412, 551, 2576, 13831, 26457, 80, 559, 1851, 21959, 18264, 1448, 288, 551, 21959, 16726, 327, 7389, 37557, 327, 536, 36950, 1594, 289, 432, 13, 1955, 13, 37557, 14, 1072, 513, 3173, 13, 43790, 5299, 12, 935, 328, 19801, 6900, 289, 5593, 585, 279, 14854, 16099, 14, 199, 31322, 2091, 2744, 289, 262, 4043, 288, 21509, 4143, 635, 354, 10360, 6575, 13, 2410, 3173, 14, 1226, 1285, 713, 777, 885, 1947, 281, 10314, 797, 552, 327, 262, 6575, 3173, 2345, 12, 288, 258, 986, 281, 23906, 327, 500, 262, 625, 1204, 1463, 2, 17981, 262, 3173, 14, 13364, 333, 262, 28043, 288, 262, 21509, 8889, 12, 625, 1204, 721, 2, 412, 2757, 2113, 289, 262, 1045, 3693, 2238, 363, 1955, 1208, 12, 5425, 12, 21783, 12, 8758, 12, 288, 4441, 3256, 590, 2701, 262, 3173, 284, 2028, 9, 357, 474, 8281, 3266, 363, 1955, 1208, 12, 24061, 12, 17294, 5722, 12, 18976, 12, 15444, 1759, 12, 2589, 8140, 998, 4911, 1705, 333, 9611, 6575, 2096, 12, 538, 1795, 2160, 412, 9117, 352, 536, 6575, 3419, 14, 199, 6786, 262, 829, 12, 9611, 520, 4331, 5365, 281, 6575, 13, 2410, 3419, 12, 288, 262, 21509, 2519, 349, 5235, 885, 327, 963, 552, 14, 16335, 12, 638, 349, 1172, 10314, 1947, 288, 21509, 4118, 1853, 885, 2096, 14, 507, 536, 1798, 12, 1106, 258, 19208, 38892, 363, 4924, 721, 6919, 17806, 9, 327, 7725, 17000, 311, 4457, 416, 258, 19208, 38892, 327, 16045, 14706, 17000, 12, 262, 6350, 2519, 288, 2379, 349, 909, 1795, 14, 362, 13831, 26457, 80, 1319, 4739, 327, 9611, 3173, 524, 258, 1040, 2422, 281, 9892, 262, 3615, 831, 2096, 12, 564, 384, 4911, 1705, 333, 262, 1172, 18100, 284, 445, 2154, 14, 199, 18670, 12, 9611, 1092, 13052, 354, 10314, 258, 2123, 6575, 3216, 284, 513, 622, 552, 918, 12, 4634, 333, 262, 1812, 281, 487, 10649, 14, 654, 2919, 354, 262, 9520, 289, 3559, 262, 23906, 332, 1389, 2984, 487, 10649, 559, 6811, 3839, 288, 8039, 1555, 354, 262, 1875, 1673, 281, 2360, 14, 1072, 1208, 12, 327, 7725, 17000, 288, 536, 2096, 354, 412, 10360, 23906, 333, 258, 542, 13, 15750, 3397, 363, 1955, 1208, 12, 19208, 38892, 83, 9, 357, 542, 13, 19685, 569, 3397, 363, 1955, 1208, 12, 29402, 38892, 83, 595, 199, 461, 10314, 2262, 289, 3391, 288, 1648, 689, 6575, 3419, 1770, 2318, 15908, 969, 352, 262, 3173, 2345, 14, 1852, 354, 412, 3391, 288, 1648, 689, 3419, 625, 471, 281, 262, 4011, 1634, 343, 902, 343, 354, 438, 262, 1025, 1127, 281, 7761, 23906, 363, 3329, 262, 3178, 2075, 327, 513, 333, 332, 595, 1444, 12, 635, 354, 3343, 4039, 1627, 6575, 2096, 333, 258, 2435, 352, 2973, 18820, 12, 354, 619, 713, 289, 853, 3027, 23906, 14, 1072, 1208, 12, 719, 354, 1648, 7725, 17000, 3610, 5256, 31642, 7111, 333, 258, 6575, 352, 777, 18820, 12, 354, 713, 258, 4106, 10314, 327, 963, 14711, 14, 15096, 17000, 3610, 1804, 262, 1027, 918, 14, 654, 1643, 281, 10314, 311, 4493, 289, 343, 258, 14711, 10314, 14, 13524, 354, 1362, 1438, 713, 7761, 23906, 327, 726, 3216, 332, 559, 12242, 445, 918, 14, 199, 4924, 721, 12960, 5183, 327, 17893, 22159, 199, 4722, 9611, 2096, 12, 1229, 7725, 17000, 4958, 288, 7725, 17000, 3610, 12, 1885, 7761, 1621, 23906, 327, 500, 10556, 465, 4411, 3693, 363, 1955, 1208, 12, 5425, 12, 21783, 12, 9463, 12, 2589, 8140, 1775, 262, 536, 1158, 12, 15096, 17000, 3610, 288, 536, 2096, 1362, 1438, 1885, 726, 7761, 23906, 14, 3815, 262, 1319, 6149, 409, 9638, 56, 4188, 719, 354, 3343, 2889, 327, 262, 4062, 579, 21509, 258, 1501, 3216, 14, 199, 36476, 38892, 83, 46772, 262, 5070, 26, 26164, 7746, 750, 11055, 714, 37180, 8349, 199, 28691, 2701, 10035, 2213, 10345, 289, 1794, 19408, 1823, 17020, 4394, 7, 199, 13208, 277, 1299, 412, 1426, 513, 20242, 288, 738, 343, 258, 11550, 14283, 819, 4221, 14, 199, 3582, 407, 624, 268, 35252, 608, 395, 72, 471, 199, 22861, 2301, 284, 26164, 5075, 2771, 199, 9537, 416, 262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26164, 5522, 10739, 73, 2604, 281, 7641, 288, 16003, 2754, 438, 25956, 258, 714, 1160, 281, 8464, 13, 399, 77, 2089, 14302, 327, 37180, 332, 5073, 262, 21564, 2339, 488, 3350, 3590, 635, 23175, 12, 43301, 819, 288, 3230, 819, 349, 24890, 14, 199, 461, 3015, 38170, 12, 2145, 13, 25299, 8349, 412, 2865, 310, 9641, 643, 1817, 559, 4137, 2003, 778, 12, 262, 2163, 1527, 12, 288, 840, 734, 289, 4021, 2130, 37180, 5027, 3253, 14, 4081, 3961, 1764, 284, 262, 1507, 2664, 281, 262, 3606, 281, 12730, 12976, 14, 199, 50, 31842, 13, 399, 77, 2089, 363, 5087, 9, 37180, 2701, 837, 2213, 289, 2770, 20357, 819, 752, 262, 22431, 281, 258, 8349, 14, 2561, 819, 6037, 1379, 752, 262, 22431, 12, 7392, 5070, 12138, 12, 3290, 288, 536, 25955, 2252, 14, 4308, 650, 12, 656, 5068, 1242, 616, 333, 262, 8349, 559, 2145, 12, 3087, 289, 21564, 2339, 288, 8349, 2691, 14, 654, 20548, 288, 41435, 1598, 3312, 1842, 1310, 7508, 333, 262, 17983, 778, 288, 44336, 11733, 24998, 288, 8349, 8826, 14, 199, 461, 714, 26164, 8349, 559, 4121, 2145, 23568, 288, 8090, 1228, 356, 289, 2340, 717, 26270, 14, 199, 2, 19399, 28030, 837, 819, 27430, 12, 262, 714, 8349, 551, 2471, 837, 16587, 4348, 288, 902, 13, 3034, 7688, 1634, 954, 22404, 396, 14, 8525, 12, 258, 26164, 7641, 7519, 8111, 288, 262, 1019, 559, 1009, 1796, 14, 625, 1895, 973, 770, 262, 8349, 2145, 1026, 432, 1885, 258, 902, 4635, 650, 12, 837, 4635, 2512, 357, 262, 670, 281, 258, 10999, 9995, 14, 362, 3455, 13, 1394, 2699, 3381, 12, 488, 412, 1756, 8349, 981, 288, 5376, 10388, 3253, 12, 311, 7851, 289, 3937, 4137, 14302, 1315, 199, 461, 714, 8349, 414, 24679, 752, 258, 1170, 13, 10184, 948, 14, 3330, 12, 2163, 24679, 258, 3720, 25562, 5237, 13, 20113, 14518, 8349, 1059, 6225, 5709, 17477, 12222, 1286, 14, 9394, 12, 493, 13140, 262, 3720, 25562, 2145, 352, 10035, 2213, 10345, 289, 1794, 3055, 3367, 333, 262, 2145, 14, 7669, 12, 656, 3055, 3367, 540, 738, 289, 17584, 258, 23578, 12222, 1286, 4635, 352, 258, 989, 8291, 3294, 289, 1794, 258, 12222, 625, 17020, 4394, 2, 333, 262, 3720, 25562, 2145, 14, 654, 23578, 12222, 1286, 311, 4085, 568, 327, 258, 1781, 1510, 281, 650, 409, 258, 1781, 2512, 284, 1478, 289, 1422, 262, 7622, 4394, 10886, 288, 23568, 14, 199, 2, 815, 262, 1435, 829, 12, 2145, 10345, 1579, 840, 742, 310, 10504, 284, 258, 10999, 9995, 1634, 954, 37704, 342, 21735, 12, 26164, 4825, 281, 2443, 288, 7549, 12130, 4731, 288, 258, 8538, 1796, 281, 262, 1019, 14, 625, 1406, 6735, 1438, 4867, 327, 1203, 13, 6750, 41457, 896, 4015, 281, 6848, 281, 14302, 840, 432, 310, 24679, 284, 258, 10999, 9995, 14, 617, 559, 1480, 11733, 14, 1207, 1129, 12, 352, 262, 7974, 281, 10035, 2213, 10345, 12, 384, 1362, 1438, 907, 713, 289, 17584, 262, 4635, 21697, 14, 617, 559, 343, 2266, 343, 15414, 262, 2145, 352, 10345, 12, 288, 356, 412, 310, 2086, 327, 2331, 726, 2145, 1315, 199, 815, 445, 714, 8349, 12, 262, 12222, 11443, 281, 262, 13085, 6640, 7622, 4394, 349, 284, 3652, 5160, 14, 362, 11443, 349, 21697, 29077, 289, 262, 2145, 288, 349, 2877, 513, 9484, 664, 6500, 12, 2637, 289, 8368, 20200, 12222, 9933, 14, 3957, 1681, 551, 7631, 289, 262, 7622, 4394, 559, 2665, 12, 1697, 356, 4095, 1788, 327, 3290, 288, 536, 47203, 2541, 289, 18285, 289, 262, 2145, 281, 262, 8349, 14, 199, 2, 1683, 354, 5192, 2421, 48379, 17087, 12, 354, 4911, 693, 332, 2898, 36143, 1449, 1047, 288, 6866, 352, 262, 1507, 357, 819, 1681, 1634, 21735, 954, 14, 625, 3175, 7436, 332, 354, 438, 445, 8981, 2499, 352, 5343, 2665, 14, 19640, 357, 3290, 713, 289, 310, 1533, 289, 18285, 289, 2973, 8725, 333, 262, 8349, 289, 8384, 2238, 289, 262, 2145, 1512, 258, 3905, 488, 311, 4095, 1788, 289, 10940, 1690, 289, 262, 3652, 5160, 281, 262, 7622, 4394, 14, 362, 12222, 11443, 1986, 288, 3549, 262, 8349, 2145, 15091, 1315, 199, 5443, 3845, 284, 7090, 28977, 311, 262, 2145, 4884, 281, 262, 8349, 14, 21735, 559, 1935, 311, 1533, 289, 3559, 262, 8090, 281, 262, 7622, 4394, 289, 18695, 262, 7243, 2145, 4884, 12, 10933, 262, 8349, 289, 32514, 6037, 281, 351, 6086, 4884, 14, 199, 461, 1935, 559, 1863, 1969, 311, 289, 3990, 262, 8349, 10557, 643, 258, 992, 2990, 12, 5343, 948, 288, 289, 17754, 262, 714, 8349, 559, 2878, 327, 885, 819, 2705, 14, 199, 2, 1633, 1321, 289, 310, 1533, 289, 5737, 1166, 288, 1794, 258, 8349, 5670, 778, 327, 885, 819, 2705, 332, 438, 885, 41435, 1598, 21696, 1634, 8525, 954, 14, 625, 3589, 717, 1976, 12, 552, 412, 17754, 262, 8349, 2145, 3786, 352, 885, 12222, 7622, 6570, 289, 6506, 357, 1596, 262, 9999, 281, 8349, 41435, 1598, 288, 20548, 14, 199, 2, 461, 1555, 281, 37180, 501, 2851, 5376, 635, 384, 2130, 262, 1555, 281, 4830, 1534, 3276, 327, 8349, 7331, 8086, 343, 808, 343, 948, 4709, 1534, 1955, 8349, 8826, 5023, 4296, 277, 1299, 412, 1426, 513, 20242, 288, 738, 343, 258, 11550, 14283, 819, 4221, 1315, 199, 8079, 784, 559, 1935, 12, 284, 7049, 352, 262, 26164, 3957, 5226, 2599, 363, 45955, 5684, 50, 9, 2964, 12, 311, 3601, 7295, 568, 1781, 1940, 289, 1077, 262, 2878, 281, 262, 714, 8349, 559, 41435, 1598, 3786, 694, 2105, 1806, 14, 199, 2, 1633, 648, 3012, 352, 2516, 288, 819, 6000, 333, 3497, 332, 384, 3343, 2700, 1469, 284, 819, 1774, 1634, 21735, 954, 14, 625, 461, 2005, 327, 445, 311, 2266, 26, 1052, 384, 349, 289, 15647, 262, 3971, 281, 1976, 1774, 416, 262, 6264, 289, 262, 1472, 904, 12, 843, 942, 4351, 349, 2286, 12, 384, 438, 289, 848, 2049, 384, 2193, 262, 1472, 2160, 14, 654, 551, 2336, 680, 1005, 352, 258, 11991, 3563, 289, 648, 352, 2516, 12, 1453, 288, 1666, 6000, 1315, 199, 33, 2021, 3561, 258, 13746, 5316, 289, 262, 714, 8349, 551, 5430, 284, 262, 3606, 281, 5588, 30997, 2754, 1467, 1630, 14, 199, 15516, 26, 12269, 12, 3302, 21814, 12, 3134, 6126, 3988, 327, 9304, 199, 461, 12445, 327, 11952, 283, 25753, 1994, 199, 24004, 559, 6590, 333, 262, 14463, 199, 1925, 4243, 17222, 12586, 199, 15760, 258, 20514, 12, 339, 749, 1776, 2889, 327, 351, 14272, 14, 8630, 2273, 12, 339, 891, 552, 14, 199, 41, 1910, 648, 289, 647, 333, 258, 2266, 5893, 12, 538, 356, 4465, 568, 289, 310, 992, 513, 14, 199, 6737, 12, 339, 13004, 258, 11677, 13, 45933, 4279, 14, 3708, 12, 339, 2239, 2680, 289, 2680, 352, 8346, 8413, 12, 6347, 289, 853, 1531, 550, 14, 339, 907, 23623, 3523, 11663, 18035, 1018, 3907, 643, 258, 24316, 31106, 14, 199, 8266, 1206, 339, 647, 31, 26684, 262, 14454, 12, 281, 1769, 14, 4595, 31, 339, 4415, 289, 5843, 629, 10582, 3292, 14, 199, 5935, 13272, 414, 1040, 332, 1115, 14, 339, 414, 1533, 289, 22573, 6066, 281, 885, 4970, 281, 3292, 11379, 333, 262, 2013, 14, 2008, 540, 3292, 339, 683, 1908, 2063, 14, 2008, 540, 1261, 2424, 12, 1106, 1582, 540, 4367, 289, 474, 13298, 5569, 14, 199, 10983, 354, 2421, 24214, 327, 3292, 31, 339, 4992, 719, 354, 693, 262, 3936, 281, 2156, 281, 262, 3011, 332, 2016, 284, 487, 7637, 31, 339, 682, 262, 3005, 311, 747, 14, 199, 11525, 12, 550, 6928, 14, 1852, 339, 683, 2156, 281, 262, 3292, 9060, 14, 339, 683, 891, 262, 3292, 416, 351, 13681, 12, 258, 42965, 12, 258, 5947, 8844, 2942, 288, 513, 14, 199, 4894, 12, 339, 16701, 354, 289, 848, 445, 5893, 14, 199, 46, 5038, 1137, 352, 1189, 89, 10261, 199, 46, 5038, 1137, 352, 1189, 89, 10261, 199, 8433, 1029, 13872, 199, 13445, 327, 15031, 1386, 2442, 199, 19, 4457, 5854, 83, 199, 8433, 1029, 9480, 199, 1201, 311, 487, 3905, 1994, 199, 32250, 289, 262, 2634, 12, 3217, 14454, 363, 260, 262, 17559, 9, 289, 1037, 656, 854, 3292, 14, 12019, 568, 262, 2763, 288, 1116, 356, 352, 354, 14, 5568, 2049, 354, 412, 6766, 487, 5573, 352, 8062, 14, 24771, 5854, 13, 43790, 1, 199, 43108, 5340, 80, 3604, 1267, 363, 1816, 26, 2025, 342, 18394, 38587, 11225, 288, 258, 1060, 14, 2530, 354, 2658, 19684, 6890, 1386, 18553, 12, 4096, 11694, 5340, 80, 12, 4237, 402, 262, 20929, 2117, 21289, 14, 43785, 311, 409, 23616, 27, 1060, 5865, 409, 1662, 26, 2025, 14, 24677, 9651, 6254, 12, 4610, 423, 84, 14, 2500, 13947, 262, 5117, 11524, 26, 41192, 15, 46459, 13, 16, 40433, 14, 199, 4087, 2210, 12922, 3604, 1267, 1386, 1143, 363, 18, 11400, 18394, 2300, 1404, 258, 418, 1404, 289, 1592, 1031, 10103, 89, 327, 5392, 1138, 14, 23277, 289, 3909, 288, 1777, 12446, 8958, 14, 13308, 487, 1011, 13367, 14, 12162, 673, 42674, 1592, 1031, 10103, 89, 12, 6108, 512, 14, 3164, 66, 14, 338, 13101, 9798, 41192, 15, 41140, 13, 2119, 5834, 14, 199, 52, 4028, 312, 1584, 11952, 327, 5702, 312, 961, 14, 3125, 1662, 363, 1249, 26, 2025, 342, 13, 78, 2275, 9, 7793, 13, 289, 2156, 13, 3322, 13, 10167, 363, 420, 474, 2278, 9, 25561, 643, 262, 14454, 289, 4456, 13298, 3909, 12, 5843, 3292, 288, 848, 258, 8687, 14, 21306, 258, 8029, 11225, 289, 3261, 271, 15, 22604, 33808, 11502, 2707, 559, 35016, 3522, 12, 33855, 17335, 14, 1828, 19, 421, 83, 86, 80, 26, 10850, 15, 23, 4241, 13, 33387, 24, 14, 199, 4752, 708, 89, 18564, 284, 262, 21016, 312, 961, 14, 3125, 14, 1662, 363, 1249, 26, 2025, 13, 78, 2275, 18394, 40, 607, 352, 258, 421, 8254, 289, 258, 17607, 284, 262, 14454, 14, 23277, 289, 13298, 3909, 288, 3060, 2938, 11368, 33808, 14, 48119, 3292, 289, 848, 258, 8687, 14, 21306, 258, 8029, 11225, 14, 13015, 35016, 3522, 12, 33855, 17335, 26, 41192, 15, 21, 4241, 13, 8691, 3706, 14, 199, 12420, 434, 45779, 10256, 14, 3125, 14, 2277, 363, 20, 13, 20, 26, 4381, 11400, 18394, 25101, 2006, 262, 904, 647, 4678, 14, 1852, 1777, 12, 6360, 289, 3909, 288, 1345, 7870, 6580, 14, 12162, 428, 13, 20, 14, 24677, 4382, 559, 4485, 12, 16457, 409, 423, 8224, 14, 1828, 24, 14, 1815, 27, 421, 83, 86, 80, 26, 41192, 15, 41140, 13, 8001, 6049, 14, 199, 24004, 46983, 15398, 1341, 3125, 14, 1529, 13, 20129, 487, 7176, 2229, 6692, 568, 281, 9139, 357, 333, 2021, 289, 4537, 27807, 14, 6893, 6759, 349, 673, 13, 21, 12, 1028, 13, 24, 288, 1267, 13, 1694, 829, 14, 9585, 24107, 4537, 2229, 2957, 357, 18295, 14, 1778, 1003, 2735, 5779, 14, 6995, 487, 28973, 289, 5682, 12834, 2964, 12, 6108, 16999, 32516, 2964, 26, 41192, 15, 21, 7187, 13, 7760, 4381, 14, 199, 52, 4028, 312, 1584, 853, 284, 27211, 352, 10500, 5702, 7280, 14, 3125, 1791, 363, 1249, 13, 1249, 26, 2025, 342, 9, 199, 52, 4028, 289, 775, 363, 18, 13, 19, 271, 15, 43521, 9, 1352, 2229, 402, 5711, 12, 4494, 262, 748, 885, 199, 8995, 805, 9886, 288, 2423, 284, 262, 904, 1161, 468, 14, 11502, 8236, 9176, 17011, 557, 43556, 12, 199, 39427, 14595, 26, 10850, 15, 23, 4241, 13, 33387, 24, 14, 199, 92, 12530, 2979, 2760, 199, 31386, 18559, 11051, 2979, 199, 15000, 1182, 13, 2190, 12, 5919, 199, 4879, 5117, 6464, 199, 92, 6493, 9778, 2760, 199, 92, 8551, 289, 12733, 2760, 461, 9114, 288, 4835, 73, 28071, 15359, 363, 17004, 5625, 9, 9067, 311, 3478, 289, 4781, 641, 366, 12, 1108, 9239, 16840, 445, 3389, 14, 199, 461, 14805, 5625, 9067, 311, 258, 3670, 3672, 831, 5004, 288, 262, 2959, 5121, 7168, 14, 617, 520, 15231, 327, 4235, 552, 13, 16367, 281, 500, 16840, 11374, 352, 21805, 18722, 284, 262, 1473, 281, 15065, 14, 199, 2, 8424, 14805, 5625, 414, 6700, 12, 742, 1791, 2214, 14358, 26636, 683, 634, 3733, 402, 1809, 45634, 14, 9744, 333, 332, 1805, 12, 590, 840, 438, 9103, 14805, 5625, 710, 4781, 513, 622, 3678, 1602, 332, 1127, 12, 288, 284, 742, 6252, 829, 1634, 954, 2194, 14, 16351, 589, 14, 33825, 14, 809, 311, 7519, 1349, 7523, 327, 5004, 559, 11421, 2042, 258, 7986, 1448, 409, 262, 6408, 559, 30450, 5121, 17239, 2964, 12, 4198, 31276, 12, 37525, 14, 625, 1201, 311, 6076, 258, 8456 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8223, 12212, 199, 8016, 10171, 1537, 281, 262, 26636, 14805, 5625, 3733, 12046, 289, 262, 28744, 27156, 1493, 281, 2214, 14358, 26636, 12, 564, 3686, 896, 474, 18722, 1116, 602, 909, 2091, 289, 2399, 559, 3975, 14, 362, 28744, 27156, 2214, 964, 32891, 1379, 1307, 6061, 12, 1108, 3465, 281, 262, 3975, 559, 5446, 2145, 14, 15772, 12, 262, 3738, 12206, 289, 262, 2214, 12, 311, 579, 6462, 1827, 3465, 416, 262, 3062, 2145, 14, 199, 17004, 5625, 520, 551, 634, 738, 289, 4781, 1170, 536, 808, 13, 13918, 3307, 16840, 2071, 26, 262, 26062, 12, 352, 409, 1875, 8228, 2209, 27, 4847, 3073, 12, 352, 409, 1875, 3327, 2209, 27, 288, 262, 17326, 16144, 12, 352, 2818, 2209, 14, 1295, 2071, 349, 3686, 900, 262, 13922, 590, 5182, 262, 26636, 349, 2264, 12, 896, 493, 438, 1795, 18722, 14, 199, 4722, 16840, 11374, 540, 1033, 402, 749, 42251, 1059, 14805, 5625, 3286, 333, 262, 4208, 14, 14805, 5625, 16840, 16700, 1629, 416, 500, 653, 262, 904, 14, 362, 1519, 1618, 12, 1519, 6966, 12, 2837, 12, 2653, 12, 14699, 12, 5466, 12, 13583, 12, 4004, 12, 3959, 12, 288, 27945, 349, 1573, 262, 748, 1867, 3147, 4091, 438, 738, 14805, 5625, 289, 25721, 26636, 14, 199, 22566, 500, 281, 14805, 5625, 559, 26636, 349, 3733, 1059, 3286, 416, 641, 11749, 40077, 288, 15099, 395, 14557, 20980, 7023, 363, 44, 3267, 5020, 9, 5324, 14, 441, 3267, 5020, 311, 738, 289, 7566, 262, 19464, 12, 37321, 1383, 13, 20767, 7408, 4796, 281, 262, 2214, 12, 1250, 262, 37232, 14, 328, 9897, 284, 262, 5324, 311, 738, 289, 848, 351, 6434, 18048, 12, 15497, 1367, 1339, 416, 262, 2214, 12, 564, 262, 992, 282, 406, 360, 37232, 412, 310, 2063, 14, 4710, 14358, 26636, 349, 3733, 635, 493, 3740, 441, 3267, 5020, 559, 2105, 281, 1644, 343, 493, 1379, 2091, 402, 262, 3975, 14, 199, 2, 20849, 7722, 7023, 83, 690, 441, 3267, 5020, 311, 1261, 513, 1003, 622, 2018, 12, 896, 262, 1339, 384, 349, 3630, 289, 4033, 311, 909, 19464, 1634, 954, 2194, 14, 15053, 24819, 1354, 12, 496, 14, 51, 14, 1349, 7523, 327, 14805, 5625, 409, 30450, 14, 625, 10013, 42300, 284, 262, 24229, 357, 5879, 284, 262, 5324, 501, 28061, 262, 1339, 12, 1697, 262, 3286, 1480, 24402, 289, 310, 3111, 14, 5593, 16036, 2331, 366, 12, 1108, 26636, 1562, 14805, 5625, 559, 6475, 333, 3753, 428, 12, 7037, 311, 258, 27196, 289, 262, 6044, 281, 262, 441, 3267, 5020, 1935, 1315, 199, 17004, 5625, 6035, 4779, 641, 2893, 4034, 284, 3302, 6214, 14, 617, 520, 1927, 3461, 289, 3353, 333, 4942, 289, 1465, 8382, 26636, 327, 4146, 719, 262, 441, 3267, 5020, 4859, 289, 1731, 14, 199, 2029, 1020, 579, 14805, 5625, 333, 262, 4208, 12, 2809, 26, 199, 23035, 1993, 26, 6193, 13, 3034, 5817, 12, 1707, 13, 3034, 12749, 26, 4595, 2135, 1311, 311, 1261, 351, 2664, 43227, 15597, 26, 34377, 13, 4079, 6135, 10483, 2714, 1757, 36326, 199, 35143, 13057, 284, 23499, 438, 634, 6891, 258, 2114, 7859, 65, 13, 4079, 6135, 10483, 343, 577, 281, 4425, 289, 1045, 351, 2873, 5862, 333, 262, 2253, 14, 199, 46181, 83, 281, 661, 45470, 262, 5854, 2714, 262, 1757, 36326, 284, 4704, 44400, 288, 284, 536, 3851, 1853, 262, 1587, 14, 199, 43227, 15597, 6026, 289, 16365, 258, 4274, 3651, 10409, 332, 28899, 17277, 7859, 65, 12, 488, 311, 351, 3200, 2136, 284, 262, 28121, 14, 199, 2663, 262, 1757, 520, 954, 356, 501, 28250, 262, 15465, 896, 7859, 65, 311, 551, 262, 6156, 1338, 327, 1697, 19497, 14, 199, 461, 28533, 2714, 262, 1757, 36326, 551, 9101, 2096, 1033, 416, 7859, 65, 12, 1229, 2423, 8783, 12, 21674, 12, 25714, 288, 30045, 698, 14, 199, 4219, 540, 6260, 258, 37348, 640, 1453, 4425, 289, 16365, 262, 14488, 4274, 20257, 9273, 333, 37369, 4891, 21589, 289, 4225, 1758, 332, 28899, 262, 17277, 281, 7859, 65, 5854, 14, 199, 461, 12137, 19287, 10371, 332, 7859, 65, 13, 4079, 6135, 310, 12878, 1307, 2547, 829, 281, 262, 12137, 3777, 643, 888, 284, 12948, 14, 199, 43227, 15597, 1581, 332, 311, 27652, 12, 1714, 332, 7859, 65, 670, 311, 564, 8491, 15770, 284, 262, 7754, 2679, 281, 262, 28121, 14, 37, 2357, 1718, 199, 461, 1757, 311, 7209, 289, 4367, 262, 4274, 12137, 896, 356, 1581, 356, 710, 9967, 262, 3174, 1461, 19497, 2003, 14, 199, 815, 258, 4347, 12, 262, 1757, 36326, 954, 3618, 13494, 7859, 65, 13, 4079, 6135, 343, 258, 625, 27937, 3123, 2, 281, 23499, 559, 7754, 7827, 538, 840, 432, 1164, 262, 15465, 14, 199, 2, 461, 2531, 281, 262, 1757, 1453, 284, 432, 6260, 262, 15465, 311, 1590, 333, 262, 3248, 281, 6644, 262, 10074, 281, 262, 4274, 12137, 12, 488, 311, 351, 976, 1916, 284, 262, 3174, 1461, 2152, 13, 6340, 36658, 1634, 356, 954, 14, 199, 461, 1757, 311, 262, 904, 559, 3247, 6717, 281, 19497, 288, 520, 634, 3087, 3383, 289, 23948, 7859, 65, 2003, 284, 262, 28121, 327, 4146, 14, 199, 43227, 15597, 311, 262, 904, 559, 753, 6259, 14397, 281, 19497, 900, 14465, 288, 17640, 12, 288, 992, 281, 641, 7859, 65, 3376, 311, 738, 289, 848, 262, 8208, 2152, 14, 199, 43227, 405, 640, 3472, 4863, 79, 4290, 1941, 520, 902, 20045, 262, 6400, 281, 7859, 65, 343, 258, 1541, 281, 1193, 14354, 12, 3404, 288, 3392, 3248, 332, 311, 4457, 416, 19497, 14, 199, 1759, 808, 343, 962, 23499, 559, 753, 7754, 1600, 281, 1117, 12, 4991, 4290, 1941, 311, 551, 258, 3677, 7859, 65, 13, 31974, 264, 288, 5102, 281, 258, 7859, 65, 13, 31974, 372, 3477, 7819, 14, 199, 461, 37348, 640, 15465, 710, 1629, 643, 888, 333, 5782, 3596, 742, 719, 638, 540, 747, 26743, 14, 16238, 926, 262, 2695, 56, 3518, 199, 8697, 262, 1935, 2382, 199, 24520, 382, 83, 8052, 26, 654, 2080, 12, 753, 2301, 284, 4813, 12, 520, 634, 8198, 14, 199, 3880, 306, 40760, 882, 12, 488, 540, 753, 7607, 416, 262, 11809, 11264, 284, 16428, 12, 349, 909, 5396, 47619, 12, 357, 6054, 1166, 12, 1697, 6903, 284, 262, 1400, 1788, 14, 10518, 409, 36197, 2635, 402, 1989, 480, 632, 12, 361, 14, 36, 1065, 2103, 2606, 327, 7707, 1664, 281, 16854, 40760, 260, 28922, 363, 20744, 5124, 2096, 9, 284, 262, 8253, 1059, 2114, 37899, 14, 199, 8697, 445, 4436, 12, 262, 1121, 1935, 1190, 4861, 402, 262, 2764, 6166, 83, 2805, 441, 14, 9376, 15201, 12, 361, 14, 36, 17210, 23557, 16854, 40760, 260, 415, 18, 343, 258, 1319, 281, 262, 1159, 12973, 1144, 288, 6497, 641, 4234, 994, 10137, 7441, 14, 199, 3589, 6371, 1229, 9276, 1578, 328, 14, 19687, 39, 15562, 12, 361, 14, 36, 1065, 1129, 8642, 281, 47369, 409, 262, 1358, 281, 8234, 12, 480, 632, 288, 15201, 3780, 332, 1428, 9518, 281, 20582, 13300, 262, 2003, 281, 44397, 8653, 1570, 12, 258, 16854, 40760, 260, 1033, 402, 30404, 332, 2540, 1400, 25823, 288, 1233, 11198, 281, 1400, 6147, 14, 4081, 3961, 4862, 262, 670, 281, 1428, 7095, 20582, 289, 1596, 1747, 5056, 14, 199, 815, 262, 1435, 5150, 83, 12, 36197, 2163, 2635, 402, 11818, 11076, 34, 9023, 12, 361, 14, 36, 1065, 1459, 14, 36, 1065, 3733, 258, 2403, 831, 262, 2695, 56, 13, 18, 9915, 288, 2862, 1833, 14, 2094, 648, 4572, 1009, 289, 1507, 3326, 281, 2695, 56, 13, 18, 17781, 343, 258, 2070, 918, 289, 1596, 1833, 14, 199, 815, 4813, 1382, 1493, 2635, 402, 262, 2764, 23674, 4290, 701, 12, 361, 14, 36, 1065, 288, 4343, 396, 14, 7656, 12, 361, 14, 36, 1065, 5439, 281, 262, 10424, 27678, 13, 2918, 30821, 6837, 409, 36197, 12, 2674, 332, 8253, 1664, 281, 258, 16854, 40760, 260, 7052, 604, 1250, 368, 9769, 13, 45, 840, 3637, 262, 7278, 281, 258, 2695, 56, 13, 18, 24909, 284, 1905, 352, 1557, 13, 18773, 1144, 4615, 1833, 14, 654, 4046, 12, 4290, 701, 954, 284, 4813, 12, 543, 5363, 262, 6903, 281, 656, 10865, 1245, 7239, 1813, 382, 288, 474, 17728, 619, 310, 3111, 284, 262, 1579, 281, 4615, 1833, 971, 199, 5020, 56, 9728, 551, 619, 1345, 258, 1963, 284, 8027, 382, 83, 1357, 14, 507, 1515, 289, 16854, 40760, 882, 12, 262, 2695, 56, 11546, 412, 1009, 289, 262, 2003, 281, 3015, 17782, 7170, 6411, 1250, 21106, 1404, 884, 882, 12, 488, 12, 284, 1713, 12, 412, 871, 543, 346, 1960, 83, 1198, 357, 23213, 29282, 289, 5118, 332, 619, 310, 4922, 289, 6325, 1679, 14, 199, 8308, 284, 4813, 12, 480, 632, 288, 597, 6371, 409, 36197, 288, 17403, 15324, 1358, 2674, 332, 493, 891, 258, 1662, 13, 10709, 1756, 284, 262, 1014, 281, 498, 1960, 83, 284, 262, 9758, 281, 1905, 590, 683, 8027, 382, 83, 1357, 2958, 289, 1624, 13, 37560, 1422, 9758, 14, 199, 1289, 3487, 349, 262, 753, 1793, 1032, 5017, 332, 2695, 56, 2096, 349, 9646, 284, 262, 9758, 281, 1905, 352, 8027, 382, 83, 1357, 1198, 1581, 480, 632, 12, 4963, 426, 14, 426, 1474, 5916, 281, 5110, 288, 4825, 281, 47369, 14, 199, 54, 4625, 34078, 3601, 311, 10521, 284, 258, 2144, 5251, 289, 935, 719, 902, 13, 3034, 670, 281, 2695, 56, 17781, 501, 2130, 262, 9197, 281, 262, 1357, 14, 30638, 262, 24537, 1, 4129, 1115, 258, 885, 2733, 357, 6425, 281, 680, 9593, 5894, 311, 10937, 12, 1750, 352, 258, 4989, 6801, 2684, 402, 258, 3540, 21732, 14, 199, 8963, 3198, 3663, 199, 42769, 26, 1023, 2063, 416, 1740, 6727, 83, 27489, 4666, 284, 4760, 10918, 262, 4710, 1206, 986, 258, 1115, 900, 262, 3389, 31777, 14, 3418, 332, 3621, 2075, 262, 32420, 7227, 356, 8462, 6052, 3053, 262, 4760, 14206, 14, 3806, 262, 21005, 559, 3441, 7471, 12, 445, 8456, 5953, 281, 1182, 3286, 5304, 262, 22327, 5971, 281, 262, 3062, 9897, 343, 356, 914, 26646, 1461, 258, 9559, 2942, 1832, 12, 17609, 1048, 258, 2424, 288, 4027, 8369, 14, 3165, 258, 5646, 907, 284, 258, 1211, 281, 1648, 270, 12, 262, 14530, 538, 24576, 1076, 6290, 349, 2535, 402, 10035, 37868, 9773, 402, 902, 12, 1428, 12, 6228, 3305, 288, 1868, 10035, 2512, 32659, 14, 199, 34520, 1386, 14003, 26, 199, 29760, 539, 10497, 18030, 363, 11216, 8061, 9, 199, 15433, 22319, 26, 32156, 29223, 20062, 2379, 4122, 14, 199, 33, 2522, 281, 26, 20035, 409, 5004, 2870, 28411, 12647, 199, 6, 8095, 13831, 14, 496, 14, 35743, 2042, 3157, 199, 18470, 468, 333, 8143, 289, 853, 262, 5444, 3228, 288, 12301, 14, 199, 14922, 35744, 380, 455, 268, 559, 10577, 199, 8697, 11053, 13, 2387, 8722, 289, 6368, 19503, 15270, 5707, 20122, 7, 8569, 199, 6786, 1018, 1789, 1293, 829, 281, 3131, 12, 638, 438, 634, 2973, 12671, 843, 339, 438, 634, 33811, 279, 333, 660, 289, 1301, 258, 1501, 2153, 289, 1018, 1005, 14, 339, 5192, 1776, 634, 1533, 289, 1713, 289, 3815, 21006, 18753, 14, 2279, 327, 3153, 13, 263, 12, 8321, 5494, 14, 1072, 1208, 12, 339, 5542, 339, 4415, 1018, 1005, 289, 750, 474, 2128, 635, 356, 2239, 289, 16688, 352, 2043, 12, 2721, 352, 8330, 14, 2561, 10974, 752, 262, 19951, 4043, 333, 3815, 21006, 18753, 12, 339, 2239, 2208, 625, 20849, 8102, 38301, 6067, 11053, 13, 2387, 8722, 1315, 199, 3428, 753, 12, 339, 7395, 289, 670, 262, 4844, 4472, 343, 2684, 26, 3815, 15270, 5707, 20122, 559, 7483, 625, 36, 2072, 44428, 2, 288, 2050, 258, 1284, 13, 277, 3415, 352, 1005, 27, 911, 438, 262, 1005, 1876, 474, 1158, 409, 629, 1284, 13, 277, 8722, 1059, 536, 8330, 14, 2530, 1889, 568, 500, 281, 262, 4062, 12, 339, 8856, 339, 840, 750, 629, 3027, 2128, 12, 488, 710, 3308, 9359, 643, 262, 8377, 288, 5953, 281, 1018, 1160, 14, 2530, 12503, 262, 1284, 13, 277, 3415, 289, 625, 36, 2072, 44428, 1634, 339, 9771, 1005, 643, 5460, 2071, 14, 4129, 1493, 414, 1714, 258, 885, 15270, 5707, 20122, 7483, 288, 3567, 289, 1899, 258, 1284, 13, 277, 3415, 14, 362, 1863, 1115, 12, 262, 1005, 540, 1656, 643, 258, 714, 48434, 1493, 843, 493, 540, 10877, 3496, 327, 6358, 735, 474, 15270, 5707, 20122, 7483, 23998, 14, 9744, 333, 262, 11866, 3053, 474, 1493, 27245, 7, 11284, 12, 1750, 352, 1059, 262, 1976, 281, 1048, 474, 7483, 288, 625, 36, 2072, 44428, 1634, 1005, 540, 3567, 289, 4131, 568, 590, 15270, 5707, 20122 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 414, 343, 258, 533, 14, 1729, 1206, 378, 1302, 327, 31, 1729, 540, 597, 6569, 31, 1729, 1206, 378, 1321, 568, 281, 981, 31, 4855, 738, 14917, 416, 262, 1835, 11284, 289, 5816, 284, 258, 1600, 13, 9189, 11744, 30656, 289, 20904, 474, 2255, 281, 590, 20122, 840, 310, 14, 654, 2266, 4844, 281, 1889, 352, 11284, 288, 1284, 13, 277, 8722, 4465, 643, 258, 1293, 1741, 281, 1493, 3344, 12, 2043, 28718, 283, 12, 32124, 12, 288, 907, 351, 1796, 1019, 1, 199, 18135, 1193, 5494, 1594, 333, 3815, 21006, 18753, 14, 2279, 12, 717, 343, 625, 20849, 8102, 38301, 6067, 11053, 13, 2387, 8722, 1634, 1018, 1005, 710, 1908, 438, 634, 1533, 289, 12588, 564, 748, 1931, 2456, 4038, 284, 717, 258, 1707, 1673, 281, 650, 14, 199, 42361, 1028, 797, 1220, 2760, 15200, 4378, 2760, 9282, 15200, 199, 9802, 1352, 3924, 281, 1284, 13, 277, 8722, 288, 1643, 13, 1615, 13, 8995, 6664, 752, 3438, 10627, 14, 507, 262, 948, 12, 1005, 750, 262, 2291, 289, 670, 1284, 13, 277, 8722, 289, 4764, 284, 2456, 12326, 4955, 14, 199, 14922, 35744, 5667, 660, 993, 738, 3815, 21006, 18753, 284, 867, 4110, 14, 199, 41, 438, 634, 3131, 15097, 13, 288, 17184, 13, 10060, 1758, 7159, 284, 17585, 327, 262, 1789, 2156, 829, 14, 339, 6518, 616, 284, 6193, 4718, 12, 1136, 2367, 12, 538, 438, 1250, 17585, 1018, 1393, 1562, 12503, 1018, 15714, 288, 4929, 382, 83, 648, 409, 262, 1358, 281, 17585, 14, 10815, 288, 1508, 438, 1426, 1018, 9011, 25447, 284, 981, 12, 488, 311, 1829, 1018, 1741, 349, 4746, 3131, 2024, 12, 24347, 5772, 12, 14601, 262, 1042, 8648, 12, 288, 3131, 11892, 284, 262, 33650, 14, 17077, 4251, 2630, 281, 3373, 363, 10193, 414, 551, 4251, 18559, 281, 7838, 9, 11783, 262, 12371, 284, 1791, 5589, 2208, 262, 1766, 281, 597, 4900, 12, 5567, 2630, 14, 4251, 2630, 414, 31550, 896, 281, 597, 7256, 289, 1756, 262, 1132, 281, 262, 20084, 288, 8928, 262, 5470, 4227, 14, 2417, 1279, 284, 262, 625, 39, 2527, 706, 6357, 2, 281, 1791, 5694, 13, 5977, 12, 378, 12002, 289, 4004, 14, 2426, 6251, 288, 3481, 13, 260, 13, 10278, 10993, 1148, 343, 8085, 4243, 2630, 288, 2707, 3445, 6863, 14, 4251, 2630, 3432, 284, 1642, 6582, 14, 199, 33099, 5197, 4443, 12, 656, 2957, 349, 327, 9006, 409, 9122, 14, 1236, 14, 2997, 6326, 752, 656, 5242, 501, 734, 289, 1164, 262, 3768, 4709, 288, 6381, 281, 262, 6505, 1109, 14, 20718, 2158, 14, 199, 18162, 2630, 402, 1989, 11932, 14, 23050, 416, 262, 15743, 2024, 31193, 83, 2836, 14, 199, 18162, 2630, 26, 362, 46952, 652, 288, 262, 44624, 402, 1989, 338, 7899, 14, 46393, 4251, 7, 981, 1059, 1670, 13, 3823, 1338, 416, 262, 3922, 1717, 12733, 14, 24136, 4251, 7, 1011, 6149, 281, 262, 8236, 281, 24281, 16439, 12, 597, 3489, 327, 597, 9042, 289, 26123, 12, 288, 597, 17197, 352, 3445, 281, 16931, 14, 199, 33, 4566, 284, 1517, 624, 26, 362, 589, 85, 11194, 284, 4004, 12, 1791, 5977, 13, 2134, 1687, 402, 8045, 23715, 14, 2530, 4251, 2630, 414, 42774, 12, 378, 2993, 597, 3858, 284, 4004, 14, 362, 1680, 5667, 597, 3858, 288, 262, 2091, 4450, 831, 262, 2486, 288, 3010, 8316, 3078, 14, 199, 17077, 284, 1517, 624, 26, 4251, 2630, 26, 45766, 12, 2707, 288, 8828, 402, 1989, 338, 7899, 14, 1034, 558, 25589, 4251, 559, 4723, 327, 7336, 352, 597, 34801, 288, 17487, 12, 12552, 258, 14672, 281, 258, 533, 590, 7395, 327, 1193, 2241, 15118, 288, 2445, 25586, 14, 199, 18162, 2630, 288, 262, 24102, 281, 262, 16495, 40960, 402, 3445, 28793, 14, 362, 5251, 281, 4126, 21271, 284, 1791, 5694, 414, 258, 612, 13210, 289, 262, 34329, 706, 6357, 12, 343, 2445, 1164, 327, 262, 21271, 2635, 289, 6818, 10234, 327, 3445, 281, 16931, 559, 9573, 14, 199, 461, 12043, 281, 2707, 4251, 2630, 402, 1989, 338, 7899, 311, 579, 262, 24813, 829, 281, 262, 10582, 3469, 14, 5422, 281, 2864, 12, 538, 2672, 1594, 416, 990, 2274, 272, 14, 199, 461, 2850, 374, 288, 262, 2707, 26, 328, 24843, 281, 262, 2850, 374, 281, 12148, 33058, 288, 2707, 4251, 2630, 402, 16186, 37167, 341, 6649, 14, 24843, 579, 28886, 18701, 1965, 12, 258, 8316, 37926, 4985, 289, 848, 262, 689, 47118, 281, 5944, 26, 289, 3353, 10716, 289, 262, 3469, 12, 357, 289, 3373, 14, 199, 461, 15848, 327, 258, 12714, 402, 11582, 20057, 14, 24843, 579, 660, 4251, 2630, 3188, 597, 12371, 14, 5422, 281, 2864, 12, 538, 2672, 1594, 416, 990, 2274, 272, 14, 50, 55, 42, 38, 45015, 26, 4024, 19232, 4038, 1190, 15138, 13898, 288, 12016, 1001, 939, 1190, 1475, 4644, 262, 6326, 281, 9868, 2713, 199, 48, 19915, 412, 4021, 1551, 1503, 1013, 5944, 288, 349, 8298, 343, 351, 976, 4723, 284, 262, 2665, 289, 8464, 262, 5968, 6453, 10840, 14, 1072, 1208, 12, 635, 2285, 2713, 690, 5278, 288, 4787, 349, 513, 10575, 12, 957, 349, 1098, 1739, 289, 4069, 4105, 2371, 14, 1265, 3087, 827, 6116, 12, 1229, 262, 3048, 281, 5110, 12, 3586, 714, 4379, 289, 2130, 653, 41889, 281, 3446, 13, 31355, 2354, 14371, 12, 488, 349, 552, 281, 262, 1489, 2705, 281, 7036, 284, 262, 1378, 2108, 14, 199, 461, 2098, 2075, 12, 416, 41963, 42, 38, 4650, 3865, 288, 4413, 12, 4123, 262, 1509, 827, 288, 2294, 5049, 281, 1059, 19232, 4038, 289, 4644, 3992, 281, 2285, 2713, 288, 14371, 288, 22017, 3992, 281, 12780, 2096, 14, 1201, 3178, 2336, 2893, 2705, 332, 3030, 660, 3003, 288, 2959, 1548, 288, 552, 2024, 288, 552, 3003, 3628, 438, 3241, 262, 2253, 281, 2550, 73, 12, 357, 262, 1988, 13, 7689, 17300, 281, 8860, 37758, 14, 199, 4840, 493, 349, 500, 3022, 281, 1988, 13, 7689, 17300, 12, 5088, 9023, 9814, 1140, 12, 426, 14201, 14742, 12, 4184, 3445, 22026, 260, 943, 12, 288, 4209, 14, 3373, 1301, 1604, 885, 2959, 10689, 333, 262, 2253, 281, 2550, 73, 288, 735, 356, 5402, 579, 3003, 2679, 284, 1937, 12, 288, 262, 8860, 4583, 288, 8860, 1385, 284, 1501, 14, 1022, 551, 4968, 2469, 2115, 266, 16549, 284, 2959, 8797, 2044, 2632, 288, 262, 8860, 4583, 284, 1937, 14, 617, 710, 310, 3111, 289, 6789, 262, 8797, 281, 22026, 260, 943, 288, 3373, 343, 9107, 262, 12995, 288, 9029, 4267, 281, 2486, 10710, 281, 2550, 73, 14, 328, 6189, 281, 22026, 260, 943, 382, 83, 7471, 352, 262, 7180, 6755, 551, 9007, 3615, 284, 8864, 831, 3268, 288, 1262, 5592, 281, 7989, 5352, 14, 7669, 12, 258, 6189, 831, 262, 426, 14201, 14742, 288, 262, 1170, 1548, 803, 5609, 4414, 333, 1972, 357, 432, 262, 4620, 288, 1371, 3799, 281, 262, 6263, 1033, 726, 2901, 284, 597, 357, 867, 32895, 281, 262, 2253, 281, 1988, 13, 7689, 17300, 14, 199, 461, 1170, 2705, 402, 3003, 1548, 288, 552, 402, 351, 3003, 3628, 11393, 262, 5473, 281, 474, 8797, 2044, 2550, 73, 14, 362, 2127, 31085, 2138, 45004, 262, 1338, 4674, 281, 10927, 281, 262, 8860, 20282, 590, 311, 16476, 289, 9317, 258, 3481, 12, 564, 343, 289, 1465, 258, 5231, 29159, 4065, 1307, 262, 5983, 1503, 14, 1295, 1548, 349, 6551, 289, 17411, 6985, 288, 13767, 13762, 289, 5550, 258, 47807, 2264, 4148, 720, 590, 840, 310, 5776, 14, 654, 4240, 551, 5592, 332, 10077, 414, 258, 12886, 2253, 1573, 22062, 12, 288, 332, 8860, 1385, 343, 808, 343, 1548, 840, 9317, 351, 19533, 14, 8858, 12027, 280, 17062, 382, 83, 5360, 13778, 258, 8002, 371, 3672, 289, 5481, 8860, 12505, 352, 262, 5991, 281, 2486, 6755, 14, 17062, 13778, 552, 281, 262, 748, 1919, 284, 488, 7061, 17891, 352, 2486, 2241, 1132, 284, 1478, 289, 5550, 1311, 1307, 3003, 2474, 14, 809, 551, 10758, 262, 2486, 289, 4498, 262, 8302, 281, 23691, 22062, 579, 262, 6805, 865, 3397, 327, 262, 23777, 281, 1988, 13, 7689, 17300, 281, 8860, 37758, 14, 362, 14300, 281, 262, 23691, 8860, 1762, 284, 35496, 12, 262, 3155, 281, 262, 5612, 382, 83, 11214, 284, 2632, 12, 5592, 351, 1435, 3672, 281, 7061, 289, 1465, 262, 2486, 7989, 1132, 416, 7031, 741, 333, 6743, 20347, 289, 262, 3268, 12544, 281, 3003, 1503, 981, 14, 7669, 12, 18045, 6409, 8858, 377, 2330, 9840, 262, 1919, 284, 488, 3200, 8860, 24507, 288, 474, 7403, 3768, 289, 17751, 6231, 14, 4855, 803, 1755, 660, 8858, 377, 2330, 382, 83, 3672, 289, 5609, 6665, 327, 867, 1843, 648, 1573, 720, 37758, 284, 2632, 1285, 438, 7048, 867, 4414, 281, 2550, 73, 14, 199, 9080, 1931, 2160, 803, 310, 14558, 14, 3330, 12, 1048, 3003, 14255, 288, 2959, 288, 3003, 16431, 281, 262, 2253, 281, 1988, 13, 7689, 17300, 7957, 474, 6736, 333, 262, 4244, 281, 8860, 1385, 12, 288, 500, 262, 1548, 2697, 8640, 289, 8860, 24507, 289, 12886, 474, 1164, 357, 8231, 14, 5171, 12, 262, 11908, 281, 3003, 1385, 540, 20627, 752, 262, 44586, 281, 3003, 288, 2959, 1548, 288, 258, 909, 1293, 2486, 1385, 1702, 262, 2764, 567, 367, 1820, 14, 199, 13, 1084, 524, 262, 2684, 288, 3646, 2705, 10507, 262, 8860, 1385, 590, 2884, 1988, 13, 7689, 17300, 31, 27356, 4267, 2033, 416, 1980, 5442, 288, 1624, 12, 9264, 12, 2185, 281, 1980, 1414, 363, 5363, 907, 262, 689, 10690, 3628, 1175, 5606, 1106, 6898, 289, 1766, 756, 289, 726, 2185, 281, 262, 6408, 357, 15051, 281, 262, 8860, 20282, 284, 15114, 289, 2884, 2550, 73, 14, 3963, 726, 3615, 48467, 12, 288, 719, 564, 12, 524, 493, 1745, 2264, 289, 4620, 357, 23897, 281, 262, 16729, 357, 650, 1510, 284, 488, 493, 540, 3968, 31, 199, 13, 1084, 349, 262, 3812, 72, 1354, 12957, 590, 841, 477, 409, 262, 1988, 13, 7689, 17300, 17546, 284, 3003, 288, 2959, 2705, 31, 1729, 1285, 1971, 327, 726, 12890, 288, 3615, 31, 199, 13, 1729, 3489, 349, 738, 289, 16323, 8860, 37758, 416, 22564, 2550, 73, 31, 1729, 524, 656, 3489, 7747, 579, 262, 2229, 281, 1503, 981, 284, 2632, 288, 262, 4450, 831, 1548, 288, 1385, 31, 199, 13, 1729, 524, 262, 3489, 332, 23691, 22062, 1485, 289, 2959, 17201, 288, 289, 3003, 34466, 7747, 579, 262, 6824, 281, 2550, 73, 327, 262, 2253, 281, 262, 8860, 4583, 31, 1729, 524, 474, 8302, 7747, 579, 23691, 8860, 8797, 2044, 1385, 288, 262, 1503, 31, 199, 13, 1084, 349, 8860, 24507, 738, 284, 1835, 1919, 284, 262, 15374, 1073, 288, 900, 262, 22307, 281, 2550, 73, 31, 199, 13, 1729, 311, 262, 8864, 281, 262, 14300, 416, 10850, 22062, 289, 474, 2486, 10966, 31, 1296, 303, 524, 493, 2480, 289, 1992, 31, 1729, 311, 474, 18411, 327, 262, 8280, 281, 1988, 13, 7689, 17300, 31, 1729, 311, 474, 8322, 2044, 262, 29986, 9872, 3147, 5101, 14569, 683, 21065, 262, 2486, 31, 1729, 311, 474, 20227, 281, 262, 14300, 372, 2044, 942, 22062, 590, 1164, 262, 22307, 333, 2550, 73, 31, 1084, 524, 262, 14300, 372, 19182, 262, 1432, 2276, 831, 262, 1117, 288, 262, 2253, 281, 4583, 1573, 641, 4983, 31, 199, 13, 7411, 357, 735, 2315, 524, 2959, 17201, 12, 2486, 5352, 12, 288, 3003, 16431, 281, 2550, 73, 2246, 289, 310, 3496, 327, 262, 1218, 32368, 281, 262, 2253, 281, 2550, 73, 31, 199, 13, 1729, 540, 262, 3489, 332, 37758, 3828, 327, 22564, 2550, 73, 31, 21851, 493, 3392, 12, 1371, 357, 1338, 21652, 31, 1729, 311, 262, 2185, 332, 262, 37758, 540, 24070, 22564, 2550, 73, 1073, 33439, 31, 1729, 3489, 1206, 262, 16431, 281, 2550, 73, 1803, 327, 262, 4254, 281, 37758, 289, 2884, 1988, 13, 7689, 17300, 31, 1729, 3489, 1206, 16431, 1803, 327, 37758, 590, 5405, 289, 7229, 416, 474, 25569, 382, 8481, 390, 31, 199, 13, 1729, 349, 262, 3489, 332, 4184, 22026, 260, 943, 288, 597, 12728, 4345, 15508, 327, 474, 3282, 289, 15120, 262, 2253, 281, 2550, 73, 8208, 31, 3963, 262, 8302, 1795, 289, 357, 885, 416, 597, 8302, 284, 597, 7471, 258, 1630, 3649, 31, 1729, 524, 656, 3489, 7747, 579, 2486, 8797, 2044, 474, 1963, 357, 4034, 284, 2632, 31, 2479, 493, 670, 726, 281, 262, 8302, 9600, 402, 8858, 12027, 280, 17062, 357, 18045, 6409, 8858, 377, 2330, 31, 199, 13, 1729, 524, 656, 2705, 12, 1048, 942, 590, 20042, 2550, 73, 288, 942, 590, 12697, 356, 12, 7747, 579, 474, 8797, 289, 262, 8860, 4583, 284 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1501, 288, 3003, 2679, 284, 1937, 31, 13250, 2046, 12, 3144, 199, 18266, 32951, 958, 1136, 6230, 333, 17280, 38453, 284, 496, 14, 51, 14, 199, 9537, 409, 262, 17403, 15324, 32661, 2604, 281, 4242, 2092, 7913, 289, 258, 714, 10858, 327, 6109, 5616, 288, 8006, 363, 18266, 9, 1209, 332, 6597, 262, 8787, 281, 17280, 26883, 15479, 363, 33929, 9, 343, 7956, 366, 284, 15109, 496, 14, 51, 14, 957, 3585, 12, 288, 366, 284, 11980, 6940, 14, 199, 1201, 311, 262, 3000, 717, 1209, 402, 262, 9856, 382, 83, 17280, 288, 25466, 22010, 17341, 7531, 363, 4975, 19803, 756, 488, 520, 738, 262, 1027, 11657, 2606, 327, 513, 622, 258, 6001, 14, 21127, 4876, 19803, 4008, 4292, 262, 2141, 281, 6498, 15926, 409, 366, 284, 13120, 957, 284, 262, 3534, 1209, 332, 5354, 409, 1032, 416, 4195, 12, 288, 366, 284, 6844, 957, 284, 262, 3835, 1209, 12, 488, 4427, 1032, 416, 5350, 14, 362, 1507, 8787, 6895, 12, 488, 9060, 1032, 416, 3610, 12, 5402, 258, 14943, 1537, 1756, 1562, 5350, 12, 288, 258, 3663, 1537, 1756, 1562, 4195, 14, 199, 3267, 15926, 1398, 20936, 281, 21597, 4083, 12, 35019, 4083, 12, 288, 368, 657, 5710, 25466, 14109, 13, 6126, 17756, 4277, 1397, 363, 10599, 36, 13, 46, 4552, 595, 6498, 15926, 26316, 258, 2226, 7421, 281, 1806, 12, 500, 281, 488, 1551, 3344, 12, 1371, 288, 8293, 2128, 14, 362, 2540, 281, 656, 9547, 4295, 349, 432, 3626, 5761, 12, 3045, 1940, 1060, 332, 1048, 1306, 288, 11299, 1345, 351, 976, 288, 2302, 1963, 14, 1239, 311, 747, 1257, 8152, 327, 6498, 15926, 12, 538, 1940, 438, 2580, 332, 8293, 8119, 12, 2721, 942, 8782, 1435, 284, 258, 720, 382, 83, 981, 12, 412, 6110, 1890, 1508, 288, 2128, 14, 199, 461, 5444, 9856, 1209, 12, 543, 8014, 27765, 281, 17280, 26883, 15479, 797, 17280, 288, 25466, 22010, 17341, 7531, 12, 2087, 21988, 12, 1519, 1618, 12, 3610, 1198, 2336, 7954, 8787, 6597, 416, 885, 1574, 281, 262, 1519, 1618, 12, 1229, 10295, 14, 362, 3096, 281, 262, 1209, 311, 289, 1485, 837, 13, 9358, 1032, 333, 262, 4979, 288, 4253, 281, 6498, 15926, 284, 262, 496, 14, 51, 14, 1822, 12, 289, 4644, 1437, 4040, 327, 827, 288, 3967, 2342, 12, 288, 289, 928, 262, 1993, 1326, 281, 1121, 333, 262, 2540, 12, 10842, 12, 288, 4943, 14, 199, 1289, 1633, 2832, 12562, 3836, 284, 8787, 1562, 262, 25920, 281, 262, 1349, 284, 4108, 1198, 954, 8979, 13, 2300, 283, 8083, 12, 9807, 12, 258, 16241, 11573, 19957, 352, 262, 32661, 2604, 2, 83, 40441, 281, 27597, 288, 11351, 2092, 288, 262, 7309, 20695, 327, 262, 8787, 1349, 382, 83, 10295, 2158, 14, 543, 815, 10295, 12, 384, 891, 4060, 1537, 281, 957, 352, 6498, 15926, 540, 1908, 6567, 402, 5896, 14, 1852, 12, 384, 693, 638, 349, 513, 957, 568, 638, 288, 384, 619, 935, 262, 1756, 2832, 284, 3777, 829, 971, 199, 461, 714, 1209, 12, 488, 7301, 333, 1220, 13, 3322, 13, 10167, 896, 332, 311, 351, 1624, 843, 689, 957, 352, 20035, 438, 634, 3719, 12, 2471, 332, 262, 1127, 281, 942, 3491, 8990, 4301, 1573, 262, 2087, 10521, 2244, 12, 352, 11959, 1952, 262, 262, 4127, 3585, 2141, 363, 17, 284, 11104, 9, 288, 12584, 262, 8390, 363, 17, 284, 27137, 595, 24392, 500, 3367, 12, 3281, 2156, 1602, 343, 748, 6940, 343, 5243, 349, 3491, 14, 7514, 12, 2758, 2799, 281, 9238, 957, 349, 962, 6567, 12, 352, 258, 17359, 1537, 1756, 1573, 2284, 1557, 13, 32290, 957, 288, 258, 13120, 1537, 1756, 327, 15342, 957, 14, 10518, 1527, 1437, 7438, 288, 4782, 619, 4857, 289, 942, 3836, 1573, 9238, 957, 14, 199, 461, 3585, 2141, 284, 10295, 311, 366, 284, 4293, 957, 27, 366, 284, 11276, 6940, 288, 366, 284, 28572, 5243, 14, 507, 10295, 12, 262, 8787, 520, 2231, 10171, 1537, 416, 5350, 289, 3610, 14, 362, 1756, 414, 10463, 1537, 831, 4813, 288, 3610, 12, 288, 4921, 1537, 831, 4195, 288, 3610, 14, 199, 461, 1032, 540, 8891, 752, 7049, 352, 262, 10295, 2427, 3104, 281, 3572, 288, 10521, 2539, 284, 11128, 38920, 41937, 12, 14884, 12, 26425, 12, 38994, 12, 3164, 3427, 288, 14442, 11129, 12, 343, 808, 343, 4082, 2705, 717, 343, 11244, 608, 2759, 1178, 3048, 12, 16938, 14, 3618, 13273, 7932, 12, 288, 1358, 281, 10295, 5158, 3650, 14, 199, 3609, 262, 1209, 7301, 333, 262, 2799, 12, 641, 4418, 11094, 332, 262, 3489, 327, 262, 1756, 349, 432, 3626, 5761, 288, 332, 513, 1121, 311, 2286, 14, 1022, 3884, 332, 262, 1756, 311, 1739, 1690, 284, 577, 289, 258, 45794, 4726, 281, 6498, 15926, 12, 2650, 4801, 1573, 262, 1262, 288, 5896, 12, 288, 262, 918, 957, 3524, 2342, 284, 474, 1666, 2945, 14, 543, 1406, 382, 83, 909, 1788, 12, 719, 432, 5678, 12, 289, 547, 560, 656, 2315, 5661, 289, 20948, 660, 992, 963, 281, 656, 2315, 7913, 289, 262, 1756, 1198, 2194, 14, 8083, 954, 14, 199, 2663, 6561, 262, 1479, 12, 543, 1201, 1209, 20274, 258, 4010, 281, 262, 9500, 281, 262, 2304, 1853, 680, 1587, 288, 2673, 468, 1235, 660, 2945, 2704, 957, 352, 7954, 14, 2064, 2577, 262, 1032, 2235, 468, 352, 17922, 797, 638, 349, 513, 957, 288, 3078, 332, 713, 734, 1198, 954, 9856, 7538, 4963, 13923, 268, 12, 7446, 12, 35717, 14, 199, 9537, 551, 3719, 262, 12826, 1624, 281, 20035, 4782, 12, 9353, 284, 4286, 14, 507, 10295, 12, 332, 1624, 414, 854, 829, 288, 1028, 2370, 12, 2958, 352, 832, 829, 12, 1028, 2370, 17870, 14, 24392, 500, 3367, 12, 957, 590, 438, 21597, 4083, 2978, 289, 310, 3719, 3649, 12, 1106, 942, 352, 35019, 14109, 2978, 289, 310, 6567, 1704, 14, 11329, 262, 3248, 281, 1435, 6051, 12, 4876, 19803, 2163, 6187, 3744, 409, 735, 1624, 957, 3524, 351, 20035, 4782, 14, 199, 1289, 13479, 12, 689, 957, 1261, 349, 432, 6567, 1702, 900, 493, 3345, 1624, 832, 14, 998, 382, 304, 4642, 416, 1480, 748, 2401, 332, 493, 540, 5372, 902, 1073, 474, 720, 414, 6567, 14, 998, 349, 1889, 1669, 289, 1311, 332, 1198, 954, 17553, 268, 41181, 12, 9807, 12, 7547, 40, 15249, 12, 5439, 281, 9856, 382, 83, 1717, 2964, 333, 16090, 5116, 30076, 288, 25466, 22010, 14, 199, 2358, 935, 262, 1939, 1209, 26, 3190, 2102, 3038, 14, 33608, 14, 6902, 15, 7768, 87, 82, 15, 9436, 1494, 15, 7768, 87, 82, 8225, 15, 859, 22, 23994, 65, 17, 14, 13550, 31, 83, 63, 67, 318, 29, 859, 22, 23994, 65, 17, 63, 87, 199, 2358, 262, 7237, 6230, 352, 1117, 7324, 26, 3190, 2102, 3038, 14, 33608, 14, 6902, 15, 16798, 66, 10412, 68, 15, 2040, 903, 15, 45311, 15, 4975, 19803, 13, 8963, 13, 27510, 13, 25572, 14, 9663, 199, 28272, 2572, 327, 17403, 15324, 32661, 2604, 281, 4242, 2092, 26, 32326, 623, 6552, 13, 55, 5264, 409, 41192, 13, 22, 2119, 13, 3274, 3798, 357, 4397, 32, 7196, 14, 1236, 13, 10185, 12, 445, 311, 258, 1040, 650, 289, 1541, 4076, 4645, 4500, 284, 262, 2013, 14, 1226, 619, 438, 289, 5789, 352, 9832, 719, 262, 16908, 2451, 1073, 262, 4528, 438, 9931, 3925, 288, 1033, 1040, 3921, 2052, 14, 199, 13, 9349, 15785, 803, 339, 1541, 31, 362, 8442, 2577, 579, 3154, 311, 332, 384, 438, 564, 748, 885, 8506, 27, 262, 6725, 2577, 579, 3154, 311, 332, 384, 438, 564, 748, 885, 8506, 14, 617, 382, 83, 5678, 327, 468, 289, 693, 38047, 488, 1501, 16911, 23216, 7898, 738, 289, 1029, 357, 619, 1261, 1029, 409, 487, 1501, 2158, 12, 538, 289, 848, 262, 1389, 42136, 1509, 12, 384, 3586, 262, 1597, 26, 199, 13, 10346, 10419, 8889, 311, 289, 438, 16911, 23216, 7898, 2065, 333, 262, 2158, 332, 354, 412, 28085, 752, 1432, 38396, 357, 14358, 3364, 14, 199, 13, 9394, 1389, 311, 289, 438, 258, 6624, 2158, 352, 4076, 16911, 23216, 7898, 288, 1795, 12637, 12, 3061, 12, 288, 8951, 12, 332, 354, 412, 670, 343, 258, 2050, 14, 199, 13, 2530, 332, 12, 647, 289, 2705, 717, 343, 680, 32172, 22562, 281, 6721, 7645, 7898, 281, 3154, 12, 402, 16605, 34402, 293, 12, 1828, 23, 14, 1815, 14, 199, 13, 3918, 4326, 1666, 817, 25229, 281, 487, 1374, 12, 1594, 752, 262, 3154, 6721, 7053, 3923, 14, 199, 6111, 406, 264, 2758, 26, 998, 1029, 16248, 284, 15635, 2447, 262, 3334, 12, 538, 4936, 4040, 327, 2758, 487, 1011, 1892, 284, 15635, 311, 289, 27212, 2524, 2370, 1073, 354, 1321, 289, 1656, 602, 284, 262, 2013, 14, 7242, 9108, 895, 4300, 670, 29604, 288, 48679, 363, 5604, 5737, 9972, 756, 288, 493, 619, 310, 2262, 327, 1203, 1574, 12, 384, 4384, 2758, 602, 262, 36959, 918, 26, 753, 284, 31576, 12, 911, 41244, 643, 832, 2, 15635, 12, 288, 635, 493, 349, 24217, 1670, 1892, 12, 643, 262, 2013, 14, 3692, 3185, 311, 332, 1562, 493, 349, 432, 8312, 13, 34716, 538, 26665, 13, 34716, 363, 572, 281, 474, 1081, 7114, 343, 1691, 343, 2634, 10041, 1422, 311, 5372, 9, 4738, 832, 2, 15635, 8907, 602, 12, 288, 564, 1691, 680, 4092, 438, 20271, 445, 568, 14, 199, 815, 1843, 42593, 12, 384, 501, 310, 8101, 333, 262, 4092, 288, 8900, 281, 41202, 30875, 37828, 908, 46244, 8299, 288, 1989, 35904, 12, 590, 349, 1889, 352, 12545, 13117, 8111, 42916, 15585, 333, 258, 1019, 281, 2639, 31385, 288, 16911, 23216, 7898, 14, 1852, 1691, 12, 356, 382, 83, 909, 10486, 14, 1207, 513, 333, 332, 1704, 14, 1072, 1129, 12, 339, 382, 678, 1045, 352, 258, 11667, 416, 37828, 908, 12, 590, 7799, 12, 19300, 12, 13857, 805, 12, 2570, 12, 288, 45493, 16911, 23216, 7898, 12, 327, 262, 827, 281, 474, 1211, 288, 262, 3499, 281, 474, 12567, 14, 199, 1289, 1406, 2840, 258, 1106, 14, 1207, 356, 382, 83, 564, 3897, 356, 971, 41, 382, 77, 10495, 258, 3052, 289, 3825, 1018, 957, 289, 3187, 327, 2238, 14, 339, 1321, 602, 289, 1352, 660, 289, 310, 1988, 13, 2073, 4201, 12, 538, 339, 551, 1321, 289, 848, 2049, 493, 438, 3497, 493, 713, 327, 262, 1115, 14, 1052, 339, 1362, 382, 84, 16752, 2576, 951, 2217, 12, 493, 382, 261, 1739, 289, 310, 3870, 4707, 327, 14369, 650, 538, 6997, 976, 6095, 357, 5873, 3520, 14, 1729, 382, 83, 262, 1025, 2577, 289, 524, 31, 199, 6768, 6274, 289, 5609, 1988, 13, 2073, 4201, 957, 311, 14646, 14, 1207, 638, 382, 83, 747, 6105, 332, 7320, 262, 2133, 263, 412, 310, 9938, 14, 362, 753, 2028, 520, 289, 310, 26, 660, 1436, 349, 487, 957, 31, 328, 1040, 1937, 3775, 281, 13035, 311, 12, 719, 493, 382, 261, 1436, 1927, 289, 1010, 12, 493, 382, 261, 1436, 1927, 289, 3187, 474, 1011, 10139, 14, 35242, 487, 1670, 3167, 349, 1436, 1927, 12, 262, 689, 1801, 2577, 289, 524, 311, 1803, 602, 629, 650, 6785, 289, 1116, 1899, 5076, 327, 2841, 2238, 4422, 12, 1888, 2182, 289, 734, 6524, 602, 719, 354, 1284, 493, 5184, 382, 84, 9059, 2744, 289, 1765, 5022, 12, 288, 689, 10539, 12, 635, 1567, 5184, 382, 84, 5022, 363, 69, 14, 71, 14, 524, 493, 438, 262, 1025, 7817, 13398, 756, 14398, 602, 2195, 14, 18459, 10565, 2914, 690, 1805, 14, 1023, 354, 1693, 647, 281, 262, 41574, 258, 3052, 12, 1469, 349, 629, 513, 2820, 289, 3965, 354, 14, 199, 3132, 13194, 7976, 83, 262, 15125, 7154, 14, 361, 1227, 639, 349, 432, 262, 1025, 650, 289, 3825, 487, 957, 660, 289, 3187, 2238, 14, 1226, 382, 261, 25895, 12, 288, 493, 382, 261, 1092, 5639, 526, 13, 25179, 288, 1659, 2338, 89, 14, 362, 4936, 650, 289, 1372, 1166, 352, 602, 12, 4045, 735, 354, 349, 3630, 289, 9280, 12, 288, 853, 602, 289, 1177, 9194, 327, 262, 1863, 1115, 311, 900, 9860, 538, 1073, 7220, 650, 14, 2094, 918, 354, 438, 650, 289, 1888, 602, 2182, 288, 2967, 570, 13, 43672, 734, 284, 262, 4417, 5614, 14, 654, 311, 258, 948, 332, 501, 1116, 650, 288, 6740, 650, 284, 262, 33650, 4669, 602, 1352, 660, 289, 1426, 3496, 327, 2238, 311, 650, 808, 4746, 14, 199, 3132, 15289, 343, 1226, 2084, 14, 1226, 713, 289, 750, 258, 25374, 352, 602, 288, 911, 647, 752, 262, 4112, 14, 4220, 382, 84, 34138, 357, 4096, 653, 262, 3905 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 962, 2086, 14, 21984, 332, 262, 3905, 501, 432, 310, 2086, 4472, 262, 918, 354, 710, 524, 356, 538, 5570, 332, 343, 902, 343, 356, 311, 10504, 288, 2086, 333, 650, 12, 332, 356, 311, 17321, 14, 507, 262, 3119, 12, 310, 4707, 289, 44037, 1888, 288, 3005, 258, 2082, 281, 2182, 1, 4595, 524, 5062, 2799, 713, 289, 310, 284, 262, 1047, 48191, 31, 3933, 354, 1285, 713, 289, 956, 2872, 14, 4595, 1026, 11225, 438, 289, 310, 4707, 31, 1852, 332, 3205, 6555, 493, 349, 3426, 2285, 288, 12, 13530, 12, 1480, 992, 3446, 501, 848, 602, 1563, 3088, 12, 4595, 524, 354, 1465, 7000, 579, 8289, 33860, 357, 3352, 332, 713, 289, 647, 352, 602, 31, 3933, 356, 382, 83, 976, 493, 524, 432, 3807, 568, 333, 1765, 262, 1423, 281, 262, 1160, 311, 2700, 14, 654, 311, 914, 258, 27564, 538, 354, 853, 262, 2323, 14, 199, 3132, 17161, 32928, 14, 4612, 262, 3905, 520, 634, 4779, 12, 1803, 21673, 6568, 289, 262, 1036, 14, 1023, 258, 24131, 12, 2235, 487, 3481, 357, 6251, 2156, 1193, 1567, 579, 262, 2422, 327, 951, 552, 10710, 14, 1052, 900, 629, 650, 354, 4880, 493, 349, 10064, 1365, 28329, 357, 6846, 776, 12, 310, 2804, 538, 5388, 288, 848, 2049, 638, 349, 4986, 327, 3872, 14, 4879, 40574, 14, 1236, 822, 328, 1193, 1274, 289, 4319, 5722, 12, 2435, 2317, 12, 11090, 12, 3173, 12, 25403, 12, 288, 45887, 2477, 14, 2042, 1193, 5364, 12, 3219, 11633, 12, 288, 1489, 13, 2822, 8161, 2522, 822, 2162, 354, 693, 12, 354, 1136, 40574, 14, 199, 1683, 354, 349, 2456, 445, 4533, 12, 7823, 4630, 445, 2403, 289, 716, 48803, 445, 2763, 12999, 5483, 432, 670, 487, 10468, 559, 625, 7683, 3417, 2, 8275, 595, 7823, 4397, 468, 719, 354, 3343, 4039, 262, 5444, 3822, 281, 487, 10468, 288, 354, 1261, 935, 445, 4533, 14, 199, 9328, 281, 8976, 199, 34, 1482, 23307, 311, 351, 4169, 17930, 327, 10317, 1032, 3971, 14, 25579, 16112, 311, 1092, 891, 284, 837, 13, 505, 40373, 288, 6532, 14, 25579, 2755, 1485, 351, 5027, 2033, 281, 616, 289, 2046, 2773, 288, 311, 1098, 10540, 289, 12867, 284, 6189, 289, 14659, 1774, 14, 199, 6417, 41, 288, 426, 4420, 199, 6417, 41, 363, 68, 1584, 542, 9482, 9, 288, 426, 4420, 363, 38502, 542, 1464, 9, 349, 262, 1127, 281, 12270, 284, 351, 9482, 281, 2665, 288, 262, 1127, 281, 1602, 262, 8307, 12017, 262, 2145, 284, 258, 1464, 6925, 14, 1295, 5731, 349, 3636, 281, 262, 1673, 281, 1020, 4866, 402, 262, 8812, 559, 8307, 14, 362, 2650, 262, 1673, 281, 1020, 332, 311, 8891, 12, 262, 513, 9130, 288, 9607, 262, 2145, 412, 310, 19689, 14, 1583, 4033, 2665, 12, 9283, 288, 7939, 6532, 670, 7985, 289, 1010, 17768, 281, 1339, 343, 493, 349, 9064, 416, 262, 10114, 2145, 14, 199, 18656, 7439, 288, 10850, 415, 17588, 9283, 6532, 343, 808, 343, 10850, 415, 17588, 7939, 6532, 349, 909, 2445, 12, 538, 629, 837, 13, 505, 3554, 349, 5602, 281, 9655, 12, 20847, 357, 907, 4108, 415, 17588, 10114, 10509, 14, 199, 461, 13625, 3650, 15, 18, 357, 18796, 15, 18, 414, 262, 18012, 327, 15405, 559, 1464, 4135, 281, 2420, 5722, 14, 362, 18796, 15, 18, 14146, 288, 8812, 13478, 540, 4226, 352, 356, 14, 18796, 15, 18, 13478, 3538, 262, 14146, 288, 8812, 289, 258, 2435, 288, 349, 1770, 2442, 13, 43679, 333, 1817, 559, 1744, 822, 12170, 327, 40373, 288, 2424, 327, 6532, 14, 3013, 17294, 2888, 15881, 1261, 1485, 18796, 15, 18, 13478, 12, 538, 351, 2469, 1127, 281, 40373, 288, 6532, 349, 1059, 17375, 13478, 14, 199, 36640, 27932, 363, 25532, 9, 311, 258, 10317, 3344, 1774, 14, 5370, 14659, 1774, 2919, 40373, 288, 6532, 289, 5722, 1323, 27395, 15306, 14, 199, 461, 17375, 363, 47308, 42456, 19257, 9, 2321, 311, 258, 2445, 339, 15, 47, 8188, 738, 327, 10581, 5722, 288, 11333, 790, 357, 536, 3266, 14, 617, 311, 5602, 281, 6260, 616, 289, 26176, 291, 28864, 13, 325, 1415, 13829, 3266, 9528, 14, 362, 5444, 17375, 428, 14, 16, 17930, 412, 5357, 34041, 45, 28751, 1032, 3971, 17902, 14, 507, 1515, 12, 17375, 2336, 12763, 13, 420, 13, 8709, 8386, 289, 1228, 3505, 1861, 1106, 262, 2435, 311, 11767, 333, 14, 5367, 12, 748, 14146, 288, 6532, 670, 262, 17375, 8188, 14, 1118, 28696, 3318, 363, 1118, 28696, 32770, 9, 199, 461, 4245, 12, 9268, 3621, 281, 351, 199, 36512, 14, 654, 311, 258, 826, 30521, 281, 262, 513, 1937, 18473, 7654, 199, 51, 11216, 47, 2870, 380, 19194, 13, 3067, 52, 38526, 199, 15235, 7274, 13278, 5108, 12239, 199, 13, 262, 5641, 3621, 281, 1765, 27, 258, 37004, 3146, 3621, 27, 625, 6847, 13719, 289, 258, 1189, 843, 993, 840, 4049, 262, 2178, 6947, 2, 199, 33, 2631, 788, 74, 311, 9851, 3318, 284, 2439, 12, 289, 336, 1179, 489, 855, 826, 725, 74, 307, 1179, 260, 12, 47699, 826, 725, 74, 311, 258, 577, 281, 788, 74, 23743, 826, 725, 74, 311, 4472, 3318, 284, 2439, 14, 199, 8, 4023, 309, 32770, 8733, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 4023, 8733, 29757, 18108, 34, 42, 8733, 27800, 42, 9, 199, 8, 1118, 28696, 32770, 8733, 29757, 18108, 34, 42, 8733, 4212, 39, 5285, 14782, 14782, 199, 33, 2631, 788, 74, 311, 4472, 3318, 284, 2439, 12, 289, 336, 1179, 489, 855, 265, 1054, 14227, 74, 307, 1179, 260, 12, 47699, 265, 1054, 14227, 74, 311, 4472, 3318, 284, 2439, 23743, 265, 1054, 14227, 74, 311, 432, 3994, 289, 788, 74, 14, 199, 8, 1118, 28696, 32770, 8733, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 1118, 28696, 32770, 8733, 46016, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 35876, 8733, 46016, 27800, 42, 8733, 27800, 42, 14782, 14782, 14782, 199, 2, 1954, 47699, 563, 470, 1179, 650, 298, 65, 2, 311, 3994, 289, 2439, 31497, 391, 73, 2577, 311, 4472, 3318, 284, 2439, 994, 650, 14, 199, 8, 8266, 38, 78, 8733, 9239, 5544, 8733, 52, 25448, 9, 199, 8, 1118, 28696, 32770, 8733, 9239, 5544, 8733, 4212, 39, 5285, 14782, 9, 5888, 586, 11304, 822, 262, 5137, 4509, 281, 2698, 199, 815, 339, 3422, 79, 524, 8519, 354, 501, 2253, 352, 258, 9601, 12970, 363, 34, 587, 4206, 756, 357, 258, 2520, 12970, 363, 41, 5887, 79, 756, 357, 907, 258, 1472, 4259, 12970, 352, 258, 6262, 14319, 363, 44369, 2834, 595, 1239, 501, 310, 4318, 661, 12523, 12, 500, 284, 552, 3466, 14, 10731, 262, 3666, 281, 36777, 11311, 332, 747, 552, 4393, 10047, 14, 3918, 12, 1597, 262, 3666, 281, 36777, 16834, 2253, 284, 536, 1919, 14, 362, 3438, 412, 513, 2996, 2955, 6044, 1664, 635, 1005, 1832, 616, 284, 262, 1478, 281, 6916, 14, 362, 23248, 5329, 283, 7477, 343, 258, 5391, 288, 8373, 1189, 27, 635, 5329, 283, 12, 11904, 2471, 2698, 327, 1582, 14, 32609, 2146, 401, 14270, 2919, 1005, 289, 1705, 474, 2744, 288, 2253, 2456, 1137, 1758, 14, 33852, 262, 524, 8519, 900, 2253, 3292, 356, 4422, 327, 262, 1863, 1493, 14, 199, 26209, 3863, 12, 302, 586, 11304, 2318, 416, 262, 1747, 288, 1323, 22727, 2698, 356, 501, 310, 742, 351, 8587, 20916, 14, 199, 13, 1733, 333, 650, 14, 199, 13, 2479, 432, 848, 1160, 7039, 14, 199, 13, 39185, 288, 17244, 17028, 1175, 310, 2189, 1707, 288, 500, 17506, 4463, 14, 199, 13, 19089, 10095, 1073, 8564, 14, 199, 13, 328, 12970, 803, 310, 1523, 786, 288, 2991, 284, 262, 1025, 1158, 14, 199, 13, 6232, 3012, 284, 289, 262, 524, 8519, 14, 199, 13, 2479, 432, 3211, 37122, 14, 199, 13, 16903, 288, 5329, 289, 33196, 6057, 14, 199, 13, 8912, 6429, 357, 13170, 258, 12970, 2044, 33196, 6057, 14, 199, 13, 7154, 2253, 12, 310, 2049, 487, 12970, 311, 284, 1432, 3622, 14, 199, 13, 7405, 262, 35001, 1404, 73, 14, 199, 13, 9585, 356, 409, 1468, 23421, 4685, 363, 23611, 4883, 1878, 281, 3466, 416, 39049, 6057, 9, 352, 262, 8886, 289, 262, 2902, 14, 199, 13, 7758, 5711, 258, 12970, 1323, 262, 7177, 559, 8289, 14, 199, 13, 2479, 432, 14841, 357, 1969, 653, 726, 12970, 14, 199, 13, 362, 5263, 1175, 310, 16296, 288, 19126, 14, 199, 13, 21623, 262, 2479, 8519, 4422, 327, 942, 590, 2253, 900, 354, 14, 199, 13, 14779, 12, 4916, 12, 288, 6310, 349, 432, 3696, 333, 262, 2479, 8519, 5263, 14, 199, 13, 1544, 333, 262, 2253, 5263, 524, 432, 438, 3268, 11496, 536, 622, 221, 518, 20071, 2264, 4983, 14, 199, 13, 14505, 262, 3438, 281, 726, 5885, 357, 1658, 12, 357, 281, 1952, 289, 3689, 1435, 14, 199, 13, 2479, 432, 3689, 1323, 8289, 14, 199, 13, 2479, 432, 3025, 635, 3438, 311, 5763, 14, 199, 13, 15425, 262, 3438, 14, 199, 13, 12648, 2698, 289, 536, 221, 518, 318, 20633, 363, 31199, 9, 199, 13, 2479, 432, 2827, 3012, 3074, 1582, 14, 199, 13, 2479, 432, 524, 3486, 332, 619, 10718, 357, 33193, 258, 8303, 17764, 357, 48903, 14, 13, 11571, 258, 2085, 327, 262, 11948, 4726, 14, 199, 4987, 362, 27505, 3213, 9100, 281, 2024, 398, 14, 16, 14, 5132, 26, 199, 46, 17603, 467, 21045, 46, 492, 64, 15335, 10, 467, 2, 60, 363, 78, 59, 69, 62, 61, 75, 64, 84, 59, 94, 69, 61, 82, 10, 59, 29, 69, 61, 78, 19241, 307, 14, 1534, 35, 70, 14, 426, 14, 18509, 467, 14, 4399, 437, 17603, 11109, 363, 29879, 2362, 328, 6777, 13, 39860, 2646, 281, 34189, 14, 1534, 36061, 24052, 61, 4504, 18509, 467, 12, 262, 16949, 2271, 3736, 281, 262, 3081, 3003, 2942, 633, 539, 523, 4276, 18442, 339, 67, 19532, 27, 2882, 551, 1250, 20689, 16949, 14, 617, 311, 1033, 643, 258, 5947, 16861, 488, 311, 4990, 22155, 416, 13256, 14, 1534, 36061, 24052, 61, 18377, 981, 638, 349, 748, 1602, 635, 2714, 9037, 1311, 357, 3168, 3282, 13, 6961, 14, 362, 1692, 720, 520, 6324, 9264, 289, 1352, 288, 4123, 12, 538, 343, 378, 41641, 12, 7766, 2714, 2705, 289, 310, 258, 28156, 2770, 327, 1326, 12, 343, 808, 14, 13730, 352, 962, 258, 5886, 3168, 12, 638, 349, 11447, 635, 8847, 2213, 412, 36271, 258, 720, 288, 1009, 1148, 1166, 258, 6725, 2383, 14, 1265, 12, 8847, 2213, 311, 258, 1472, 2577, 797, 356, 311, 432, 742, 26658, 12, 538, 1861, 262, 918, 262, 1831, 30426, 14, 199, 1759, 258, 1692, 2278, 12, 22620, 1508, 5772, 258, 577, 284, 1326, 752, 12562, 288, 911, 2700, 14, 328, 720, 9012, 1382, 720, 5355, 258, 3348, 284, 258, 1627, 918, 288, 1952, 1661, 12, 564, 262, 12562, 720, 12678, 262, 1027, 2537, 14, 12229, 15485, 7774, 414, 258, 3087, 8111, 284, 445, 1374, 14, 2426, 4055, 27629, 79, 5028, 1940, 891, 332, 262, 1692, 720, 311, 6110, 7048, 402, 12562, 536, 382, 83, 3872, 14, 1544, 258, 720, 9012, 1765, 332, 27157, 597, 2744, 12, 378, 23195, 262, 1020, 12, 7256, 289, 14039, 356, 12, 288, 911, 8572, 11886, 289, 2832, 262, 2537, 719, 356, 311, 1238, 352, 1661, 14, 199, 48813, 727, 1508, 288, 8847, 2213, 349, 777, 885, 1567, 797, 552, 962, 262, 12562, 281, 6414, 288, 911, 262, 720, 11653, 289, 14039, 602, 1590, 333, 258, 720, 382, 83, 1011, 1625, 501, 14, 27254, 2213, 311, 262, 685, 281, 552, 720, 24244, 283, 1382, 289, 1012, 8907, 14, 9711, 262, 2537, 962, 38812, 311, 24740, 357, 36456, 12, 717, 343, 6310, 15024, 357, 4916, 3940, 14, 199, 6342, 264, 18962, 288, 262, 10103, 199, 19218, 1940, 1037, 332, 8847, 2213, 9037, 262, 918, 680, 9758, 13102, 12, 488, 4575, 289, 1437, 2255, 579, 262, 1672, 281, 8847, 2213, 288, 262, 2751, 720, 14, 3661, 289, 1940, 416, 9161, 1358, 12, 8847, 2213, 520, 351, 888, 333, 1831, 6117, 2697, 284, 1413, 288, 7428, 6616, 12, 1924, 635, 262, 6618, 382, 83, 3394, 349, 1161, 14, 22720, 289, 3246, 284, 262, 1019, 12, 13848, 540, 992, 513, 1739, 289, 1116, 4362, 493, 710, 432, 5692, 1116, 333, 474, 1011, 635, 352, 3394, 14, 10103, 6117, 540, 513, 13140, 284, 262, 7428, 3453, 281, 262, 1831, 12, 15467, 5217, 994, 409, 1413, 6414, 14, 199, 6342, 264, 2213, 412, 310, 1788, 327, 1692, 3246, 289, 3374, 352, 12, 288, 1508, 1919, 289, 1527, 543, 6009, 511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 357, 2340, 2213, 13, 17745, 4913, 412, 1426, 10897, 14, 1513, 9471, 8847, 2213, 311, 432, 914, 579, 4728, 543, 6009, 1198, 538, 660, 262, 1831, 3914, 14, 4382, 332, 438, 7284, 6607, 1573, 4030, 284, 474, 22484, 27555, 12, 1750, 352, 536, 1574, 281, 262, 1831, 12, 349, 1437, 9955, 289, 5073, 8847, 2213, 14, 3806, 19210, 12, 262, 22484, 27555, 281, 262, 1831, 750, 5396, 12, 4328, 31127, 1273, 284, 262, 2439, 289, 438, 258, 13312, 281, 7894, 39138, 12, 488, 1050, 10371, 602, 288, 2540, 262, 22484, 27555, 289, 513, 4641, 6343, 352, 536, 1831, 4030, 14, 654, 2673, 262, 1692, 2278, 289, 750, 9310, 288, 1988, 13, 14072, 2286, 289, 5073, 8847, 2213, 14, 199, 20931, 352, 262, 22484, 27555, 9406, 289, 262, 1831, 288, 8847, 2213, 12, 536, 1940, 1037, 332, 262, 32546, 13617, 5772, 258, 1963, 284, 660, 9461, 3336, 289, 8847, 2213, 14, 3988, 343, 352, 262, 2506, 1019, 12, 957, 332, 540, 432, 4609, 289, 8847, 2213, 683, 2650, 16112, 1307, 262, 1831, 343, 808, 343, 7845, 289, 5073, 8847, 2213, 14, 199, 20981, 752, 27254, 18962, 199, 461, 20799, 829, 349, 8216, 829, 14, 362, 1692, 2278, 311, 1092, 1959, 752, 1980, 1861, 1690, 289, 21559, 12, 18590, 289, 714, 3394, 288, 3967, 5987, 12, 288, 1508, 660, 289, 848, 4254, 327, 2238, 14, 19297, 412, 2967, 258, 4669, 288, 13895, 1158, 289, 1692, 3246, 635, 7336, 352, 8847, 2213, 402, 7153, 262, 1597, 26, 199, 42785, 316, 26, 11207, 332, 445, 311, 258, 650, 327, 262, 720, 289, 4106, 288, 1352, 660, 289, 310, 597, 1011, 1313, 311, 976, 14, 617, 311, 1669, 289, 1693, 647, 288, 1228, 262, 720, 289, 848, 9980, 327, 3424, 12, 1924, 635, 354, 1321, 289, 2967, 4663, 357, 1311, 4094, 288, 3872, 12, 538, 4887, 262, 720, 289, 647, 1166, 597, 1011, 2383, 311, 976, 14, 1023, 351, 2278, 12, 6909, 258, 4669, 1158, 719, 1567, 647, 5851, 539, 288, 962, 638, 289, 2967, 1164, 311, 5886, 14, 199, 25582, 356, 5422, 26, 1023, 351, 2278, 12, 1116, 258, 5388, 1302, 333, 3666, 288, 6275, 352, 487, 720, 14, 3220, 354, 2252, 1422, 4568, 487, 720, 35271, 343, 3394, 12, 354, 412, 1116, 258, 1302, 333, 487, 1422, 281, 487, 720, 14, 25693, 1781, 4158, 12, 3666, 12, 288, 6285, 10801, 2698, 288, 4330, 12, 488, 1175, 310, 10705, 284, 2647, 14, 2479, 432, 310, 10844, 289, 1177, 5638, 352, 487, 720, 1435, 579, 1919, 289, 5073, 8847, 2213, 14, 15050, 333, 660, 356, 501, 1242, 487, 720, 382, 83, 6443, 635, 378, 16888, 289, 1527, 543, 6009, 511, 409, 262, 1025, 650, 288, 44948, 1148, 332, 356, 412, 310, 10504, 1323, 4494, 13295, 357, 8657, 1988, 13, 23060, 14, 199, 28964, 15036, 4405, 26, 6697, 1503, 11540, 343, 258, 8511, 12, 848, 650, 963, 2273, 327, 258, 1503, 4576, 357, 3348, 650, 12, 288, 1196, 1503, 568, 639, 288, 47391, 5489, 14, 42530, 2066, 650, 352, 2845, 3554, 2579, 2537, 288, 3943, 6066, 281, 3976, 327, 8849, 579, 735, 311, 7475, 409, 1042, 288, 352, 3394, 14, 199, 1683, 409, 726, 650, 638, 349, 4674, 258, 720, 311, 4231, 2697, 284, 24740, 2537, 1690, 289, 8847, 2213, 12, 1888, 327, 734, 14, 19956, 332, 6765, 1582, 284, 4669, 258, 720, 11002, 352, 8847, 2213, 12, 717, 343, 258, 1503, 3116, 12, 4904, 23139, 12, 357, 536, 14291, 4053, 12, 1026, 432, 1530, 332, 262, 2278, 311, 432, 9955, 289, 4557, 734, 262, 720, 12, 538, 332, 1229, 1582, 284, 21129, 258, 720, 12, 332, 619, 310, 333, 262, 32876, 281, 13925, 1166, 262, 4056, 2383, 12, 311, 5886, 14, 199, 3582, 14294, 22921, 3785, 14, 14294, 311, 351, 1003, 17468, 288, 1811, 14, 16420, 14294, 382, 83, 3332, 1469, 14, 199, 6128, 2941, 16209, 48, 84, 2089, 47224, 17142, 26, 199, 48, 84, 2089, 47224, 17142, 2632, 3943, 1020, 333, 34380, 2089, 47224, 17142, 284, 2632, 12, 34380, 2089, 47224, 17142, 1555, 2632, 12, 34380, 2089, 47224, 17142, 4833, 284, 2632, 12, 14253, 12, 30008, 12, 44846, 12, 41956, 1386, 42375, 12, 34380, 2089, 47224, 36838, 284, 2632, 14, 199, 48, 84, 2089, 311, 262, 2155, 1922, 327, 4902, 12929, 281, 262, 4490, 33294, 12, 258, 2304, 332, 619, 1551, 552, 357, 278, 5741, 10459, 14, 199, 461, 39063, 2089, 619, 310, 6269, 822, 284, 488, 262, 18306, 10190, 6797, 262, 16799, 27, 357, 3044, 822, 284, 488, 262, 18306, 3626, 6797, 262, 16799, 14, 199, 2172, 1026, 34380, 2089, 1484, 31, 199, 48, 84, 2089, 412, 1484, 409, 726, 1624, 14, 1544, 1301, 1562, 3050, 356, 311, 1250, 19124, 39063, 2089, 14, 1544, 1301, 284, 262, 9803, 356, 311, 1250, 7811, 39063, 2089, 14, 199, 1577, 2540, 34380, 2089, 31, 199, 3609, 262, 1479, 281, 19124, 39063, 2089, 311, 1092, 12339, 12, 262, 689, 1172, 2005, 311, 16884, 1326, 281, 262, 21106, 1565, 4077, 14, 362, 21106, 1565, 4077, 311, 262, 1488, 4077, 3496, 327, 47145, 262, 4490, 33294, 14, 507, 3246, 39063, 2089, 311, 2755, 1690, 289, 26617, 2870, 373, 72, 1792, 530, 281, 262, 21106, 1565, 4077, 14, 617, 619, 551, 1484, 1597, 4431, 289, 262, 4077, 343, 900, 18306, 5885, 288, 3002, 24132, 14, 45684, 356, 619, 310, 1690, 289, 1018, 483, 784, 518, 964, 4973, 363, 258, 2304, 843, 638, 311, 10420, 7975, 281, 4999, 595, 199, 4811, 803, 34380, 2089, 310, 4086, 31, 199, 10786, 352, 1677, 39063, 2089, 619, 713, 289, 24942, 474, 1600, 1047, 643, 258, 23558, 13, 1156, 2531, 12, 10920, 474, 33294, 352, 258, 8105, 12, 357, 5609, 474, 40228, 284, 351, 3672, 289, 935, 416, 694, 474, 4902, 12929, 33294, 14, 4382, 352, 19124, 39063, 2089, 619, 551, 438, 5759, 309, 16985, 9854, 76, 1433, 89, 3002, 19241, 3135, 66, 44412, 357, 2808, 688, 363, 5135, 270, 332, 349, 432, 4557, 14797, 357, 4961, 756, 31446, 7578, 12, 3929, 43294, 12, 357, 25934, 4054, 14, 507, 1515, 12, 4902, 12929, 281, 262, 33294, 619, 949, 284, 351, 18480, 1263, 11296, 5442, 288, 1788, 1371, 981, 14, 507, 7884, 39063, 2089, 638, 311, 258, 2076, 281, 262, 4490, 2105, 281, 4054, 402, 262, 4902, 12929, 4490, 18306, 14, 199, 1844, 311, 34380, 2089, 4086, 31, 199, 461, 3002, 2304, 34380, 2089, 311, 675, 465, 402, 258, 8967, 387, 3852, 1250, 39063, 2089, 4460, 14, 199, 48, 84, 2089, 311, 4086, 32558, 12, 352, 262, 1781, 4709, 1590, 333, 262, 9215, 281, 262, 39063, 2089, 288, 262, 3588, 281, 262, 21106, 1565, 4077, 14, 1052, 262, 39063, 2089, 311, 432, 3044, 12, 4460, 311, 2755, 4237, 635, 262, 720, 311, 831, 673, 288, 854, 829, 281, 1624, 363, 1054, 625, 9436, 13, 10868, 2, 829, 595, 1444, 12, 635, 262, 39063, 2089, 28795, 352, 262, 720, 559, 4054, 12, 4460, 311, 4237, 409, 351, 3649, 1624, 289, 1228, 1432, 3646, 1326, 14, 34380, 2089, 6864, 311, 1770, 4779, 694, 1937, 18833, 284, 8578, 288, 1692, 957, 288, 694, 1666, 18833, 284, 3246, 14, 199, 1577, 289, 3136, 900, 4460, 8733, 199, 5008, 1905, 501, 16005, 262, 4837, 909, 808, 288, 438, 258, 3369, 5549, 14, 11186, 21455, 619, 713, 289, 310, 3721, 289, 262, 9717, 33294, 327, 262, 753, 8496, 2536, 1597, 4460, 14, 22056, 10713, 30045, 698, 3721, 289, 262, 25154, 349, 2672, 4262, 14, 362, 12637, 281, 262, 33294, 501, 1092, 310, 4156, 16628, 12, 1244, 284, 629, 1948, 36618, 288, 9514, 501, 19524, 445, 4510, 14, 3013, 1905, 501, 438, 30797, 805, 332, 713, 8555, 579, 258, 2273, 1597, 4460, 14, 507, 957, 12, 9001, 528, 30797, 805, 349, 1092, 738, 14, 199, 461, 36618, 288, 9514, 2211, 352, 262, 4460, 501, 1770, 10597, 284, 777, 289, 1170, 3263, 14, 2008, 1905, 619, 713, 15451, 281, 262, 30797, 805, 289, 1437, 8713, 262, 18306, 4923, 14, 654, 619, 357, 619, 432, 1885, 3027, 13704, 14791, 357, 258, 6889, 289, 262, 5027, 3466, 14, 199, 18682, 17142, 34380, 2089, 12, 48, 84, 2089, 47224, 12, 2632, 9262, 15209, 34380, 2089, 12, 34380, 2089, 47224, 17142, 12, 34380, 2089, 47224, 12, 2632, 34380, 2089, 47224, 17142, 12, 2632, 9262, 34380, 2089, 47224, 17142, 12, 7685, 9262, 24331, 34380, 2089, 47224, 30008, 33663, 2632, 7685, 9262, 34380, 2089, 47224, 17142, 7932, 12, 37211, 34380, 2089, 47224, 7932, 30008, 12, 2092, 5922, 12, 34380, 2089, 26628, 392, 17142, 12, 24865, 345, 318, 17142, 12, 39791, 12929, 12, 9014, 1775, 34380, 2089, 47224, 17142, 12, 2632, 34380, 2089, 47224, 17142, 40888, 12, 34380, 2089, 47224, 17142, 20288, 199, 19921, 26, 3891, 17359, 4618, 3798, 37912, 33582, 363, 1249, 749, 14, 1583, 1220, 14174, 14, 3599, 52, 9, 199, 39277, 3516, 4397, 32, 7196, 14, 1236, 363, 8014, 29045, 9, 199, 8, 14725, 327, 2873, 1905, 6989, 1579, 284, 2632, 9, 15101, 14, 1642, 12530, 1028, 199, 3086, 13, 7200, 10760, 363, 34845, 9036, 66, 9, 589, 548, 4585, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 363, 7128, 4057, 9, 17, 12, 18, 311, 258, 2266, 12, 2578, 288, 1801, 1440, 289, 3549, 327, 4003, 23887, 284, 262, 3530, 2278, 1822, 14, 199, 2437, 619, 310, 7000, 3553, 12, 625, 6603, 412, 6385, 333, 552, 1452, 1485, 354, 352, 726, 1020, 579, 4003, 12, 900, 500, 12, 384, 524, 432, 647, 1161, 327, 5983, 5157, 281, 650, 6385, 333, 552, 1452, 8036, 199, 29616, 12, 343, 258, 3775, 384, 349, 258, 7691, 661, 12, 1776, 3920, 12, 680, 904, 1776, 284, 5160, 12, 538, 638, 349, 9327, 540, 384, 524, 713, 289, 3691, 2123, 14677, 1164, 14, 362, 689, 4750, 1602, 349, 635, 384, 349, 8367, 680, 6742, 6513, 2074, 14, 199, 16557, 5660, 643, 258, 7028, 7032, 357, 616, 5179, 258, 20431, 710, 310, 1788, 12, 719, 432, 5678, 289, 524, 1323, 262, 2291, 289, 3691, 2123, 14677, 1164, 327, 258, 1714, 1673, 281, 650, 14, 362, 2291, 289, 5941, 416, 777, 13, 289, 552, 13, 4687, 6385, 311, 2262, 289, 1497, 6484, 12, 14327, 20773, 288, 8138, 14, 199, 1759, 384, 693, 12, 262, 26348, 4224, 3206, 258, 1627, 1673, 281, 2123, 14677, 1164, 284, 1478, 289, 310, 1533, 289, 2966, 6394, 1750, 284, 258, 2708, 2438, 14, 1544, 262, 9927, 281, 262, 4224, 349, 21278, 12, 2076, 281, 4003, 3087, 289, 7450, 619, 1484, 14, 199, 1201, 311, 1924, 2595, 284, 3530, 2436, 3147, 26348, 4224, 311, 10403, 1690, 289, 2708, 288, 5231, 7186, 1861, 332, 1484, 343, 258, 949, 281, 8732, 14, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 3636, 45610, 7688, 363, 73, 14, 69, 1065, 4003, 9, 288, 311, 513, 1788, 289, 1497, 1690, 289, 262, 5737, 3170, 281, 1164, 2262, 289, 524, 262, 1077, 14, 13730, 352, 2156, 536, 3326, 281, 4003, 288, 10624, 12, 12388, 281, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 414, 7460, 327, 5533, 2285, 6994, 8228, 289, 15587, 829, 1436, 288, 891, 289, 438, 625, 11552, 2, 9857, 7416, 25064, 26445, 363, 3201, 35, 2033, 2171, 1556, 5409, 289, 1556, 16, 5058, 595, 10410, 421, 3813, 37300, 19356, 416, 1735, 14, 7187, 289, 1735, 14, 9292, 14, 19, 199, 2358, 1497, 262, 1077, 12, 262, 2804, 311, 17976, 289, 1302, 333, 552, 1452, 1323, 1164, 281, 262, 4490, 30055, 357, 3812, 1613, 281, 262, 570, 6592, 279, 1452, 1461, 262, 18944, 1452, 14, 362, 2804, 4905, 262, 1077, 352, 262, 3371, 1558, 12, 12523, 2162, 357, 5945, 333, 963, 1878, 352, 597, 24708, 6120, 4961, 6527, 14, 199, 461, 2804, 311, 911, 17976, 289, 2091, 597, 3371, 288, 3691, 4003, 327, 616, 289, 2046, 7252, 14, 17, 199, 461, 1127, 281, 7252, 332, 262, 2804, 15, 1204, 721, 311, 1533, 289, 3691, 445, 2531, 311, 4866, 14, 14344, 1299, 357, 258, 2195, 1077, 311, 4866, 719, 366, 9, 262, 3084, 20579, 262, 1164, 1452, 27, 428, 9, 49120, 3590, 27, 673, 9, 262, 3084, 20579, 262, 5263, 12, 357, 832, 9, 262, 5883, 5711, 1765, 327, 1164, 14, 199, 34814, 9516, 352, 3371, 1558, 349, 26, 3678, 13, 7612, 336, 2904, 15, 2899, 14, 21, 14515, 1220, 14, 22, 83, 12, 4673, 13, 6661, 336, 2904, 15, 2119, 14, 18, 14515, 1267, 14, 19, 83, 14, 20300, 9516, 327, 3371, 5724, 349, 26, 3678, 13, 7612, 336, 2904, 15, 1249, 14, 18, 14515, 1220, 14, 22, 83, 12, 4673, 13, 6661, 336, 2904, 15, 20, 14, 19, 14515, 673 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14, 16, 83, 14, 20, 47860, 288, 6371, 2674, 4003, 1602, 333, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 284, 6994, 1624, 3678, 289, 16225, 829, 327, 8370, 288, 32574, 303, 5161, 6596, 14, 199, 15358, 262, 1761, 281, 445, 1032, 12, 638, 3913, 289, 310, 629, 2901, 284, 1972, 2436, 670, 474, 8370, 8576, 474, 32574, 303, 5161, 1452, 284, 262, 17746, 288, 7903, 1624, 2071, 14, 199, 2172, 1059, 445, 1077, 12, 1952, 1905, 3559, 735, 1452, 493, 710, 690, 289, 1302, 333, 710, 310, 3351, 343, 354, 1321, 289, 1824, 474, 625, 9668, 2, 2878, 14, 199, 1406, 520, 634, 2674, 284, 262, 4247, 332, 2436, 1756, 474, 8214, 281, 23907, 351, 4431, 1690, 289, 258, 2077, 402, 777, 1602, 719, 493, 349, 6271, 289, 1497, 258, 2064, 13, 7200, 10760, 589, 548, 4585, 327, 2156, 7252, 14, 21, 3160, 1940, 13865, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 438, 634, 4192, 284, 3530, 3246, 289, 2363, 11956, 4003, 900, 3588, 2520, 12, 22, 2878, 281, 2074, 281, 2879, 2245, 288, 4807, 24663, 3326, 14, 23, 199, 26919, 12, 9517, 1941, 281, 536, 4003, 3636, 717, 343, 262, 312, 5582, 14328, 16192, 14701, 6868, 41775, 9949, 24, 288, 22357, 23618, 18789, 25, 10773, 570, 26105, 2123, 14677, 18944, 1602, 281, 1143, 7252, 288, 854, 7252, 6925, 12, 327, 3530, 2436, 289, 310, 2196, 289, 438, 625, 5863, 2, 4003, 14, 199, 48205, 1537, 289, 3678, 1537, 281, 1762, 13, 36584, 9803, 2436, 2077, 963, 630, 12, 352, 748, 7872, 2973, 7450, 14, 1249, 3933, 7450, 349, 262, 3087, 1479, 281, 4431, 13, 3862, 5399, 284, 3530, 3246, 288, 258, 1677, 1479, 281, 8144, 284, 445, 1822, 12, 5610, 281, 7450, 288, 7180, 5885, 311, 258, 22721, 22154, 14, 1816, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 412, 310, 738, 343, 258, 2303, 12, 6799, 288, 2578, 918, 327, 19154, 289, 3549, 474, 1905, 15, 1204, 1463, 327, 2077, 4362, 288, 311, 2865, 9641, 643, 258, 5744, 6513, 6359, 327, 3530, 3246, 14, 199, 17, 14, 47860, 12, 423, 1065, 436, 764, 1354, 12, 361, 1065, 45593, 12, 423, 1065, 415, 25531, 12, 491, 1065, 1386, 1468, 346, 1282, 562, 12, 331, 14, 363, 20795, 595, 23618, 2878, 1573, 1557, 260, 20664, 1004, 9803, 1385, 14, 9582, 11929, 12, 14793, 8, 25, 756, 1182, 5132, 13, 4636, 22, 14, 199, 18, 14, 1057, 8076, 319, 12, 407, 1065, 1386, 361, 3785, 65, 13, 52, 7757, 360, 12, 361, 14, 363, 13700, 595, 25091, 2975, 327, 12745, 4003, 288, 26348, 23887, 14, 19699, 284, 12149, 10743, 20379, 377, 12, 1529, 8, 17, 756, 12914, 13, 7221, 14, 199, 19, 14, 1740, 4933, 555, 13347, 12, 426, 1065, 18989, 991, 12, 441, 1065, 4984, 2913, 12, 361, 1065, 1386, 24515, 35088, 79, 12, 338, 14, 363, 14471, 595, 4433, 6986, 281, 1604, 2266, 12, 11854, 3326, 281, 4003, 288, 10624, 284, 2285, 9803, 6994, 14, 25063, 363, 35626, 280, 756, 1143, 8, 17, 756, 3986, 13, 5673, 14, 199, 20, 14, 28145, 23967, 12, 423, 1065, 441, 763, 260, 12, 368, 1065, 12457, 12, 328, 1065, 1386, 33829, 12, 491, 14, 363, 24584, 595, 26983, 560, 284, 32195, 4003, 1077, 8100, 352, 8732, 14, 9582, 11929, 12, 10400, 12, 1143, 8350, 13, 1249, 3841, 14, 199, 21, 14, 666, 475, 295, 12, 380, 1065, 24075, 12, 331, 1065, 7193, 3956, 12, 441, 1065, 39696, 35498, 1252, 12, 423, 1065, 1401, 358, 14, 363, 15207, 595, 2064, 13, 4687, 4003, 311, 351, 976, 27226, 281, 2528, 25417, 7450, 284, 3530, 5317, 14, 3606, 281, 262, 1378, 12149, 10743, 3923, 12, 5533, 12, 1182, 4241, 13, 23, 4817, 14, 199, 22, 14, 3068, 26624, 84, 12, 491, 1065, 338, 3532, 6602, 12, 415, 1065, 1386, 25181, 12, 331, 14, 363, 11945, 595, 7163, 281, 6985, 3588, 2520, 333, 6385, 4003, 12, 6204, 2871, 12, 288, 1372, 13, 1475, 13, 1079, 2878, 284, 3530, 3246, 14, 3606, 281, 12149, 890, 1392, 5110, 288, 2754, 12, 12024, 33, 8, 21, 756, 361, 46491, 13, 45, 44544, 14, 199, 23, 14, 426, 2723, 260, 12, 608, 1065, 9329, 78, 12, 496, 1065, 331, 3082, 374, 263, 12, 496, 1065, 1386, 28325, 1925, 12, 436, 14, 363, 15766, 595, 25091, 4003, 3326, 284, 15572, 13, 3322, 13, 10167, 284, 6557, 289, 2878, 12, 2074, 281, 2879, 2245, 288, 4807, 3326, 14, 30092, 3606, 281, 20379, 377, 4407, 729, 5110, 12, 4060, 8, 20, 756, 42405, 13, 43284, 14, 199, 24, 14, 312, 5582, 14328, 12, 361, 1065, 9961, 12, 312, 1065, 1386, 2243, 48843, 12, 423, 14, 363, 23309, 595, 11952, 1413, 5800, 327, 9803, 1905, 1590, 333, 1127, 281, 4312, 7863, 14, 1378, 3606, 281, 5110, 12, 4293, 12, 832, 3798, 13, 20, 5002, 14, 199, 25, 14, 22357, 12, 608, 1065, 1401, 358, 14, 363, 20795, 595, 31050, 4003, 284, 262, 9803, 26, 35813, 1326, 281, 351, 5324, 14, 4682, 991, 11929, 3449, 12, 10463, 8, 22, 756, 37542, 13, 19, 1816, 14, 199, 1249, 14, 11652, 23524, 12, 441, 1065, 1386, 6084, 2985, 12, 608, 14, 363, 11935, 595, 362, 25622, 281, 7450, 288, 26679, 1676, 14, 10157, 12149, 10743, 5110, 12, 933, 12, 31726, 13, 36339, 14, 199, 1816, 14, 1717, 7724, 4345, 14, 363, 10656, 595, 23680, 12947, 14, 617, 45498, 12, 13873, 26, 7925, 14, 199, 5652, 14, 10591, 311, 258, 1980, 13334, 284, 3268, 2253, 288, 4289, 281, 34405, 9582, 11929, 281, 3618, 12, 8493, 14, 2187, 13920, 11338, 327, 27514, 2616, 10508, 23034, 288, 8310, 12, 3619, 14, 2194, 14, 10591, 311, 551, 262, 1796, 281, 4318, 15811, 14, 3218, 21529, 2193, 311, 6277, 14, 20375, 313, 1839, 1101, 420, 8624, 14, 1236, 14, 2194, 14, 19531, 311, 351, 10252, 4825, 284, 262, 1980, 3473, 1448, 409, 262, 1358, 281, 2169, 5841, 6226, 289, 262, 1374, 281, 12556, 10743, 13292, 14, 2187, 13920, 11338, 327, 27514, 2616, 10508, 23034, 288, 8310, 284, 262, 1374, 281, 12556, 10743, 1731, 14, 199, 5036, 10474, 12013, 2099, 1721, 402, 6642, 1517, 9521, 199, 4879, 948, 11957, 11785, 14440, 289, 28123, 18333, 1210, 262, 689, 199, 35, 13025, 356, 625, 65, 1040, 753, 1969, 2044, 8146, 332, 21600, 28123, 2832, 289, 438, 7773, 327, 262, 1980, 3473, 493, 713, 1634, 5130, 426, 13645, 6331, 12, 9726, 12, 24232, 12, 9140, 12, 4289, 281, 262, 1378, 9582, 11929, 4061, 363, 5036, 10474, 756, 5962, 24527, 332, 262, 714, 14440, 948, 501, 1228, 258, 1677, 1127, 281, 21600, 1905, 289, 3524, 2342, 21145, 262, 1828, 17, 12, 23, 3181, 4554, 3199, 1342, 333, 21600, 3473, 7773, 14, 362, 714, 4837, 12, 14508, 402, 4141, 284, 262, 3504, 16317, 43688, 23503, 2377, 363, 10502, 22558, 13, 30891, 756, 501, 310, 1594, 289, 21600, 28123, 333, 3115, 2277, 694, 3666, 4331, 445, 2273, 402, 262, 10858, 327, 21600, 288, 21990, 7058, 363, 35, 5300, 595, 199, 2, 5036, 10474, 311, 7313, 402, 262, 714, 3473, 1342, 14440, 948, 1634, 13645, 6331, 954, 14, 625, 35, 5300, 520, 1033, 258, 1040, 3672, 289, 2739, 332, 21600, 28123, 590, 713, 262, 689, 1210, 349, 432, 28762, 402, 351, 16877, 1342, 1315, 199, 1759, 7305, 10474, 4262, 12, 262, 948, 2608, 11785, 14440, 288, 551, 11957, 14440, 289, 28123, 590, 349, 6904, 1048, 1980, 3473, 288, 4238, 1758, 19924, 363, 1054, 2342, 349, 3601, 4932, 694, 552, 1828, 17, 12, 23, 3181, 1342, 595, 199, 2, 1633, 438, 2457, 289, 935, 660, 808, 21600, 21783, 501, 310, 1533, 289, 2779, 288, 4122, 445, 948, 14, 3645, 719, 356, 1804, 808, 12, 4141, 742, 14508, 445, 714, 948, 752, 4195, 14, 4141, 1175, 2193, 445, 2664, 1094, 445, 630, 12, 288, 384, 349, 10059, 332, 445, 1805, 501, 6594, 289, 26029, 332, 493, 1175, 3626, 24886, 262, 9249, 288, 1485, 258, 513, 6142, 3294, 327, 21600, 28123, 18333, 1980, 3473, 1634, 13645, 6331, 3768, 14, 199, 461, 3473, 9249, 3118, 643, 888, 333, 2881, 14, 366, 12, 4195, 12, 11485, 21600, 7773, 333, 25928, 13292, 2342, 289, 1828, 17, 12, 23, 3181, 327, 1980, 3473, 288, 4238, 3473, 4932, 288, 1828, 17, 12, 23, 3181, 327, 15069, 3473, 14, 199, 461, 1378, 9582, 11929, 4061, 311, 258, 2144, 3540, 3607, 9107, 513, 622, 7024, 12, 1108, 2209, 14, 4714, 3311, 311, 289, 11385, 19648, 284, 1980, 3473, 2253, 12, 1121, 288, 1734, 14, 199, 4879, 32793, 23722, 28978, 2042, 10063, 199, 29543, 284, 6389, 349, 6007, 1972, 258, 714, 1643, 281, 40519, 501, 734, 15914, 1414, 327, 1905, 5401, 416, 1600, 288, 6380, 1833, 590, 540, 4086, 352, 4571, 3473, 12, 2112, 289, 258, 714, 1019, 363, 16662, 3606, 281, 21424, 36553, 10, 47520, 10, 46648, 12, 3633, 14, 366, 12, 4195, 595, 199, 31433, 1109, 1905, 12, 5401, 416, 19431, 28867, 311, 1092, 6567, 994, 258, 2809, 289, 487, 3116, 14, 9679, 2213, 311, 5120, 1059, 258, 30322, 1161, 487, 4480, 288, 258, 3505, 1250, 258, 444, 1655, 44318, 1961, 9240, 14, 2997, 3116, 619, 1888, 354, 289, 1372, 20100, 327, 2156, 3196, 1073, 12048, 487, 1400, 2213, 14, 199, 1683, 487, 1400, 2213, 2456, 311, 837, 12, 354, 501, 2833, 310, 3567, 289, 1629, 1047, 327, 9714, 1400, 2213, 13263, 14, 1052, 354, 438, 1170, 9549, 352, 12800, 653, 14940, 15, 4153, 6694, 40, 39, 12, 354, 501, 310, 6567, 352, 837, 1400, 2213, 14, 199, 3792, 661, 382, 83, 1400, 2213, 3671, 616, 635, 493, 349, 409, 262, 3116, 382, 83, 4065, 14, 1052, 487, 3116, 25239, 332, 619, 310, 7798, 12, 378, 357, 993, 619, 1888, 354, 289, 853, 629, 1400, 2213, 12800, 409, 1393, 14, 507, 629, 1948, 12, 378, 357, 993, 619, 3586, 332, 354, 5451, 351, 5759, 13606, 1400, 2213, 3462, 14, 654, 3505, 3636, 487, 1400, 2213, 5489, 2447, 262, 1115, 343, 354, 647, 579, 487, 2074, 14, 617, 311, 1770, 10457, 327, 2818, 2536, 12, 907, 1106, 9554, 14, 199, 13, 5954, 264, 26, 6673, 491, 14, 15956, 506, 73, 12, 8359, 199, 13, 5954, 13608, 26, 22816, 15, 8963, 822, 199, 13, 24690, 13608, 26, 18548, 15, 10152, 15, 8963, 822, 27184, 264, 487, 753, 1969, 289, 258, 1604, 13, 3322, 3617, 409, 2830, 22789, 7237, 4377, 199, 27184, 372, 5568, 258, 23331, 199, 43351, 311, 262, 1003, 281, 8585, 2980, 288, 8046, 4544, 12, 1805, 12, 9310, 12, 288, 1172, 2497, 289, 848, 1567, 332, 3499, 661, 14, 17072, 5866, 1658, 14, 1022, 1890, 288, 750, 2096, 289, 2207, 6717, 288, 14991, 1812, 14, 1022, 1037, 1919, 327, 3937, 2096, 289, 648, 1437, 12, 1467, 2505, 12, 6734, 513, 8550, 288, 1555, 1098, 14, 199, 4219, 551, 1180, 327, 7929, 4351, 289, 2295, 1658, 14, 17072, 1155, 12942, 288, 976, 2155, 3520, 343, 808, 343, 3269, 327, 7331, 616, 4922, 24709, 288, 1744, 327, 2114, 13588, 14, 199, 1406, 559, 258, 8840, 199, 43351, 22640, 9385, 258, 1604, 13, 3322, 3617, 349, 1573, 262, 4127, 9059, 4952, 284, 3618, 2427, 2112, 289, 262, 4065, 281, 5910, 12601, 288, 8801, 8468, 14, 11088, 26, 6277, 14, 1678, 4000, 14244, 10321, 14, 1236, 17366, 327, 4855, 199, 24097, 289, 262, 28850, 13370, 2754, 9782, 1, 998, 1180, 3941, 289, 6021, 354, 409, 262, 9782, 284, 3115, 14, 199, 20663, 577, 284, 258, 2018, 3805, 311, 1138, 12, 3967, 12, 288, 19105, 14, 654, 577, 281, 680, 3523, 2158, 2336, 1020, 288, 5242, 332, 412, 734, 354, 853, 2905, 12, 2425, 487, 1121, 288, 3740, 262, 28850, 13370, 2754, 9782, 14, 199, 461, 426, 3267, 38, 311, 2991, 951, 8459, 14, 654, 1483, 354, 803, 1866, 4040, 284, 262, 11952, 288, 13737, 3080, 289, 262, 9782, 289, 2739, 354, 4175, 258, 1040, 1121, 4136, 12, 288, 438, 7129, 281, 650, 289, 524, 258, 1040, 2422, 288, 1301, 258, 2066, 1349, 14, 199, 20877, 12, 2787, 12, 288, 30190, 349, 976, 43699, 289, 2704, 3352, 12, 2170, 262, 2098, 2262, 327, 487, 1349, 12, 288, 3744, 487, 2966, 14, 8895, 487, 2401, 288, 487, 2787, 327, 5991, 14, 1022, 349, 487, 1389, 682, 327, 552, 13, 263, 13, 572, 4020, 288, 1164, 284, 487, 2754, 9782, 1805, 14, 199, 37, 12693, 7995, 288, 25444, 7995, 3352, 1012, 14901, 3666, 622, 16758, 7995, 3352, 14, 199, 5377, 4449, 10674, 2754, 7251, 199, 26177, 31, 23316, 12857, 14, 11915, 32, 7196, 14, 2279, 14, 44, 5064, 12, 24041, 14, 6123 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5245, 741, 5075, 26, 1729, 1226, 4220, 1438, 5917, 6047, 42826, 35583, 199, 29447, 1023, 37955, 14, 28280, 8814, 3606, 14, 3235, 3327, 12, 9952, 14, 199, 25207, 26, 654, 2154, 5151, 629, 1172, 24788, 579, 199, 2611, 705, 14, 1072, 1208, 12, 552, 27423, 311, 332, 14992, 1908, 13173, 199, 1054, 1027, 1274, 5945, 14, 654, 311, 45994, 14, 4612, 14992, 31361, 351, 2578, 2652, 199, 274, 501, 1739, 8616, 1094, 14, 362, 2154, 551, 2336, 976, 2828, 199, 28661, 13983, 14, 362, 25474, 1274, 994, 258, 40283, 311, 2971, 258, 2004, 1914, 199, 6172, 7777, 357, 2971, 258, 5724, 899, 14, 37775, 281, 13892, 199, 12726, 854, 822, 12184, 402, 3046, 404, 3843, 548, 288, 12184, 402, 19256, 199, 4149, 22348, 777, 1947, 281, 1976, 12, 1976, 281, 1567, 288, 1976, 281, 19185, 12, 16048, 1504, 7124, 445, 9458, 5628, 289, 351, 26764, 15310, 281, 1976, 281, 1567, 14, 809, 1993, 27274, 777, 1947, 281, 1976, 281, 1567, 12, 1976, 402, 37017, 288, 1976, 402, 6149, 14, 998, 438, 1976, 402, 37017, 635, 384, 349, 3012, 2823, 281, 258, 2577, 12, 1323, 726, 25478, 14, 998, 349, 4156, 5504, 288, 27128, 352, 258, 2442, 357, 22435, 281, 258, 3317, 1073, 468, 12, 680, 2497, 13, 16528, 14, 3900, 37017, 352, 1567, 311, 25194, 4325, 416, 726, 1976, 281, 19185, 12, 384, 412, 310, 27128, 352, 1765, 4156, 1323, 7391, 726, 4205, 579, 356, 14, 339, 412, 693, 262, 2442, 281, 258, 3317, 625, 28780, 309, 288, 3626, 635, 339, 935, 356, 2, 288, 432, 693, 726, 4205, 579, 262, 2442, 284, 2345, 14, 362, 536, 1643, 281, 1976, 281, 1567, 311, 1250, 1976, 402, 6149, 14, 1544, 384, 1527, 384, 438, 1976, 281, 262, 3317, 2345, 12, 258, 1980, 1638, 12, 384, 2757, 289, 258, 1894, 281, 1976, 536, 622, 6207, 12, 1367, 1976, 14, 625, 461, 1980, 1638, 488, 2540, 717, 13, 420, 13, 6609, 2497, 13, 16528, 2, 311, 258, 7826, 332, 5667, 262, 3317, 402, 918, 281, 2497, 13, 16528, 14, 998, 742, 438, 258, 6149, 281, 262, 3317, 14, 12184, 402, 6149, 311, 48794, 333, 1765, 352, 488, 384, 349, 27128, 12, 2497, 13, 16528, 12, 288, 629, 1976, 281, 19185, 12, 690, 7391, 332, 625, 6609, 13, 288, 13, 6609, 2497, 13, 16528, 349, 2535, 402, 262, 1980, 1638, 1315, 4183, 12, 1976, 402, 6149, 2919, 468, 289, 23116, 1976, 579, 262, 4245, 904, 3639, 262, 1567, 332, 412, 310, 1257, 289, 468, 12, 1567, 352, 488, 384, 438, 1367, 37017, 363, 459, 14968, 2497, 13, 16528, 595, 199, 4476, 289, 445, 10232, 12, 1976, 402, 37017, 2735, 262, 28187, 327, 500, 281, 680, 536, 1976, 14, 24221, 13, 16528, 311, 432, 262, 742, 3962, 281, 1567, 352, 488, 384, 412, 310, 4156, 27128, 14, 1072, 660, 710, 384, 10155, 262, 1789, 12, 16048, 10417, 12, 719, 384, 840, 742, 693, 735, 414, 4156, 1301, 289, 680, 11480, 14, 15913, 2497, 13, 16528, 12, 384, 551, 438, 625, 393, 404, 3843, 548, 402, 3335, 1315, 9634, 283, 735, 384, 540, 4156, 2823, 281, 2006, 356, 564, 332, 384, 349, 1261, 4156, 2823, 281, 332, 1789, 12, 8558, 2577, 14, 998, 619, 2851, 1621, 748, 1789, 1567, 352, 262, 1027, 35227, 3009, 1928, 14, 15913, 2497, 13, 16528, 288, 10121, 12, 384, 5749, 625, 393, 404, 3843, 548, 402, 25790, 46493, 1315, 1544, 384, 349, 2823, 281, 351, 4801, 12, 690, 284, 262, 1617, 281, 11142, 12, 625, 2455, 703, 3881, 1013, 2, 3314, 351, 1638, 281, 37017, 14, 2885, 3508, 4029, 37017, 311, 258, 1894, 281, 37017, 352, 680, 1011, 8584, 332, 619, 310, 5761, 343, 1988, 13, 39920, 14, 1444, 12, 445, 1988, 13, 39920, 311, 2081, 513, 690, 258, 8443, 281, 258, 4494, 357, 258, 1501, 2296, 27, 262, 4801, 7217, 2608, 262, 8659, 670, 281, 625, 41, 1634, 488, 710, 2704, 262, 10036, 343, 258, 1945, 14, 16048, 449, 420, 663, 445, 11477, 281, 1976, 12, 1976, 281, 262, 10036, 12, 343, 258, 16138, 538, 12339, 11861, 281, 37017, 14, 199, 44022, 7526, 26903, 680, 37017, 352, 1567, 343, 5304, 26, 625, 1633, 438, 37017, 284, 12971, 352, 262, 1032, 281, 262, 7408, 11480, 12, 288, 284, 25790, 46493, 352, 262, 1032, 281, 735, 619, 310, 1250, 262, 6324, 2497, 1190, 1585, 775, 12, 5400, 12, 14277, 12, 2589, 4178, 384, 438, 37017, 284, 3335, 352, 1567, 488, 438, 634, 1032, 2113, 281, 262, 7408, 11480, 357, 281, 262, 6324, 2497, 14, 5072, 12, 356, 311, 16138, 12, 1244, 432, 1627, 12, 332, 384, 438, 37017, 352, 10036, 12, 343, 332, 488, 311, 2823, 281, 1567, 357, 520, 14277, 3074, 1567, 1315, 1778, 656, 3545, 281, 37017, 349, 41917, 12, 6356, 12, 3937, 1567, 14, 16048, 40831, 332, 384, 412, 551, 438, 37017, 352, 8163, 12, 1937, 2820, 1250, 4395, 790, 14, 809, 8994, 4395, 790, 513, 3870, 1704, 284, 5628, 1267, 14, 199, 44022, 7526, 500, 419, 632, 262, 1423, 281, 262, 5628, 289, 11277, 660, 262, 7107, 2883, 281, 1976, 402, 6149, 2260, 1804, 14, 362, 689, 24822, 1567, 332, 349, 1257, 289, 468, 402, 6149, 349, 1980, 3545, 288, 536, 661, 559, 8584, 14, 998, 2382, 258, 1617, 281, 1952, 1976, 402, 6149, 635, 384, 693, 625, 5363, 638, 311, 351, 1638, 18239, 289, 258, 15713, 6149, 12, 1244, 384, 349, 432, 27128, 352, 726, 717, 1638, 1315, 16048, 3943, 1522, 12462, 284, 262, 2522, 281, 2255, 1976, 402, 6149, 14, 809, 5469, 332, 356, 311, 976, 289, 1235, 445, 1894, 281, 1976, 896, 680, 1758, 2701, 5281, 564, 7684, 333, 356, 14, 1544, 384, 1527, 1172, 1798, 357, 1432, 3936, 12, 384, 349, 2081, 17211, 333, 262, 11866, 16889, 284, 15735, 1976, 14, 362, 2296, 1637, 5906, 402, 262, 670, 281, 258, 1432, 1605, 412, 742, 2081, 310, 13125, 5962, 752, 258, 6149, 357, 19582, 14, 199, 34, 903, 31534, 12, 357, 625, 1054, 753, 29290, 281, 262, 3126, 6468, 1634, 311, 16048, 559, 689, 43681, 297, 1208, 14, 18390, 332, 638, 311, 258, 19582, 12, 357, 4347, 12, 1033, 579, 40448, 14, 1052, 40448, 311, 262, 10071, 12, 38041, 332, 378, 520, 258, 1894, 281, 1367, 37017, 352, 597, 1011, 1988, 12, 40448, 1285, 438, 33681, 597, 1605, 284, 1478, 289, 848, 258, 1988, 13, 8961, 26170, 9310, 12, 281, 488, 597, 1605, 311, 258, 24610, 14, 507, 445, 15266, 1617, 12, 262, 625, 30806, 1605, 520, 262, 1367, 670, 488, 356, 1776, 14090, 289, 438, 12, 343, 2662, 6385, 327, 258, 1627, 1638, 12, 288, 432, 327, 258, 6149, 281, 262, 1638, 1315, 1052, 552, 281, 40448, 559, 3394, 590, 5542, 1148, 3012, 414, 262, 10071, 281, 262, 4347, 12, 911, 384, 710, 1527, 332, 262, 10071, 683, 1976, 402, 6149, 14, 362, 10071, 311, 27128, 352, 2497, 13, 16528, 488, 378, 594, 372, 16231, 352, 40448, 559, 1137, 14, 362, 1137, 357, 1980, 1638, 9107, 262, 1991, 311, 625, 10821, 1257, 343, 262, 1137, 288, 262, 1991, 4299, 352, 656, 2497, 13, 16528, 1634, 488, 311, 262, 5001, 6149, 14, 3900, 262, 2497, 13, 16528, 8538, 289, 40448, 1311, 416, 3896, 289, 3896, 288, 352, 5148, 12, 262, 10071, 6555, 488, 1835, 11912, 349, 5270, 14, 199, 17523, 513, 4463, 416, 1367, 37017, 12, 7436, 332, 2872, 690, 354, 357, 339, 2318, 1750, 288, 2006, 258, 4347, 579, 40448, 332, 311, 258, 6149, 1590, 333, 258, 625, 3801, 357, 1098, 17877, 2114, 281, 3714, 1976, 1315, 998, 1527, 332, 40448, 414, 262, 625, 11192, 29290, 281, 262, 3126, 6468, 1315, 507, 1478, 289, 848, 258, 5270, 6149, 11431, 289, 262, 1980, 1638, 12, 40448, 559, 1137, 12, 384, 1175, 1037, 258, 6557, 831, 629, 1501, 352, 488, 384, 438, 37017, 288, 262, 1980, 1638, 12, 262, 1501, 352, 488, 384, 6170, 289, 438, 351, 9150, 37017, 14, 998, 1175, 848, 717, 258, 4326, 284, 1478, 289, 5550, 258, 8904, 6149, 14, 199, 2358, 670, 2562, 9434, 41917, 416, 4395, 790, 12, 16048, 48113, 262, 1208, 281, 625, 1054, 689, 902, 13, 17852, 281, 1548, 1634, 258, 6149, 488, 18856, 5346, 281, 4395, 790, 14, 998, 7505, 332, 262, 6149, 1175, 4122, 289, 629, 533, 12, 538, 384, 438, 747, 918, 281, 23116, 1790, 726, 9310, 579, 1148, 14, 16048, 19191, 12, 625, 452, 1976, 281, 19185, 12, 343, 384, 3114, 1060, 12, 7508, 37017, 352, 1567, 488, 349, 281, 351, 7288, 885, 1800, 416, 2497, 13, 16528, 12, 262, 1567, 488, 349, 2672, 1250, 1823, 42231, 2820, 7969, 538, 488, 384, 3114, 956, 1823, 39890, 790, 7, 1315, 362, 6149, 6974, 742, 281, 4395, 790, 3411, 747, 1976, 402, 37017, 352, 488, 384, 1285, 18285, 351, 25478, 579, 262, 13092, 13, 17852, 533, 14, 328, 1993, 4347, 579, 40448, 12, 690, 625, 461, 753, 29290, 281, 262, 3126, 6468, 414, 351, 3929, 1122, 17102, 33426, 1634, 311, 258, 4347, 332, 3186, 41917, 288, 24654, 258, 9310, 332, 384, 412, 742, 848, 284, 12399, 281, 629, 37017, 363, 2271, 1765, 4642, 357, 1010, 595, 199, 14575, 698, 579, 1567, 1257, 402, 6149, 1731, 284, 680, 1758, 343, 7563, 579, 262, 625, 44432, 2577, 3241, 36304, 332, 311, 12, 384, 18661, 289, 2757, 289, 332, 2577, 14, 998, 18661, 289, 1527, 1765, 352, 262, 1367, 4892, 332, 742, 40448, 3424, 840, 438, 635, 378, 2006, 258, 4347, 579, 3424, 12, 1765, 352, 488, 378, 520, 1367, 37017, 14, 6132, 12, 638, 311, 258, 7421, 281, 7244, 416, 37017, 352, 262, 4643, 41917, 26, 416, 40448, 3424, 12, 625, 10156, 311, 40448, 289, 661, 590, 5542, 1148, 27, 40448, 289, 942, 590, 742, 693, 281, 1148, 752, 1473, 2, 288, 409, 258, 1691, 1045, 281, 262, 7421, 625, 1054, 13092, 4404, 281, 1548, 1315, 1635, 262, 5827, 1045, 12, 384, 412, 742, 848, 32048, 332, 349, 25194, 291, 11759, 796, 416, 4395, 790, 12, 288, 409, 262, 3677, 1045, 12, 384, 1629, 343, 2091, 343, 1509, 289, 1367, 37017, 288, 412, 848, 748, 32048, 7802, 262, 4245, 1638, 14, 617, 311, 1129, 1793, 660, 1976, 7410, 402, 6149, 311, 1163, 23903, 289, 1976, 402, 37017, 14, 16048, 5695, 445, 7721, 597, 5214, 5431, 284, 262, 1019, 281, 625, 18747, 22925, 5353, 11912, 23629, 625, 7268, 19582, 488, 384, 412, 1235, 1175, 310, 6974, 18856, 281, 21143, 352, 488, 384, 349, 27128, 1315, 199, 5557, 1152, 1976, 281, 629, 41917, 3141, 2378, 719, 384, 349, 289, 2861, 2515, 8384, 11866, 289, 262, 1798, 384, 3654, 670, 14, 1544, 384, 1527, 1765, 11427, 289, 22961, 15998, 12, 384, 4370, 438, 747, 1367, 37017, 352, 262, 533, 14, 10119, 12, 384, 349, 3185, 281, 717, 11912, 343, 625, 1054, 533, 590, 414, 31107, 333, 262, 339, 4878, 281, 3115, 2, 357, 625, 1054, 10679, 281, 262, 3809, 6468, 1315, 3900, 384, 438, 747, 918, 281, 962, 3012, 27128, 352, 22961, 15998, 12, 680, 1976, 402, 6149, 2919, 468, 289, 4069, 1976, 281, 625, 33417, 488, 384, 438, 1908, 4588, 1315, 617, 2919, 468, 289, 653, 10184, 262, 8343, 281, 680, 3268, 12, 6207, 4092, 288, 5849, 258, 1262, 1976, 288, 1262, 1758, 14, 199, 1201, 1976, 402, 37017, 288, 1976, 402, 6149, 2883, 414, 258, 4055, 31590, 1392, 1632, 13, 41524, 335, 327, 16048, 14, 4714, 7929, 1800, 3696, 1148, 289, 6235, 289, 597, 7884, 25301, 12, 258, 25301, 9531, 402, 258, 513, 15713, 46029, 281, 3545, 14, 617, 311, 258, 2883, 281, 1976, 332, 13322, 680, 2253, 281, 1758, 289, 310, 8904, 288, 14452, 281, 5141, 2297, 14, 16048, 17883, 632, 660, 384, 3931, 258, 2497, 281, 2564, 579, 3545, 5925, 416, 680, 1805, 14, 362, 12963, 281, 37017, 3943, 262, 689, 5550, 8736, 327, 680, 2255, 281, 262, 904, 14, 12184, 402, 6149, 2919, 468, 289, 2827, 32124, 416, 680, 12963, 281, 37017, 538, 3292, 468, 284, 258, 513, 6424, 2531, 14, 3900, 1976, 402, 6149, 551, 5281, 333, 19185, 12, 384, 349, 10540, 289, 5997, 579, 680, 15735, 1976, 719, 384, 349, 13525, 15399, 579, 258, 19582, 332, 384, 438, 2168, 289, 310, 2595, 14, 199, 29665, 766, 281, 445, 2883, 438, 2991, 332, 16048, 559, 8565, 281, 1976, 402, 6149, 311, 14866, 14, 2426, 6688, 635, 12211, 2497, 13, 16528, 12, 332, 262, 1980, 904, 311, 27086, 528, 289, 468, 12, 18600, 597, 2883, 281, 1976, 402, 11912, 14, 809, 10900, 332, 625, 27566, 402, 6149, 2, 311, 432, 2081, 258, 871, 281, 1976 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1562, 384, 412, 742, 693, 942, 1567, 352, 488, 384, 349, 27128, 288, 384, 2252, 310, 27128, 352, 1980, 3545, 14, 16048, 559, 2883, 4659, 289, 262, 19582, 332, 680, 37017, 352, 2908, 3545, 3913, 2264, 284, 258, 9559, 918, 289, 1980, 3545, 288, 29519, 468, 34266, 309, 27128, 352, 262, 1980, 904, 14, 24221, 13, 16528, 349, 680, 14968, 15593, 281, 262, 5137, 904, 12, 288, 493, 20439, 445, 9150, 2572, 14, 199, 3609, 7929, 12, 16048, 559, 2883, 281, 1976, 402, 6149, 311, 432, 351, 9749, 2883, 281, 1976, 14, 617, 311, 4370, 570, 1830, 69, 2699, 896, 680, 23988, 281, 1577, 349, 6158, 23635, 31, 199, 10941, 1237, 5222, 357, 258, 986, 281, 23635, 843, 10388, 4038, 349, 42455, 7272, 288, 6158, 284, 2647, 289, 4367, 1806, 14, 199, 10367, 38414, 6000, 349, 7609, 352, 2758, 3915, 281, 18247, 288, 258, 3146, 2291, 289, 3990, 1608, 30969, 3830, 1690, 289, 3440, 3253, 12, 1025, 13, 1615, 13, 1237, 12531, 12, 288, 2542, 288, 14991, 5049, 14, 16633, 5352, 349, 2476, 4581, 281, 3976, 289, 2193, 10624, 1812, 288, 1485, 2545, 4043, 752, 258, 4311, 281, 3146, 3830, 6741, 13177, 352, 10388, 4038, 332, 4805, 289, 4725, 2545, 3257, 288, 1890, 13588, 288, 536, 2735, 281, 27124, 72, 1962, 14, 362, 6158, 23635, 2153, 311, 11754, 1417, 1161, 262, 1587, 343, 351, 2382, 332, 14203, 656, 3162, 289, 848, 262, 689, 1801, 288, 3888, 670, 281, 258, 1608, 30969, 7030, 14, 199, 461, 9698, 831, 6158, 23635, 288, 536, 2930, 2735, 281, 1608, 30969, 22946, 2349, 311, 262, 5027, 6219, 281, 625, 5362, 2349, 1315, 4507, 445, 6219, 12, 262, 5027, 6408, 42455, 18786, 3257, 288, 1594, 3830, 333, 262, 7030, 402, 8585, 714, 4038, 357, 23406, 3937, 4038, 14, 362, 6408, 10670, 416, 262, 28311, 262, 5027, 7794, 327, 262, 6158, 23635, 288, 262, 4970, 281, 3872, 332, 501, 310, 2168, 2162, 612, 13, 18521, 2878, 29123, 349, 1238, 14, 199, 2437, 501, 713, 262, 21959, 46770, 21800, 289, 1644, 262, 9575, 83, 333, 445, 2763, 14, 199, 16806, 1618, 3104, 281, 16633, 822, 5884, 16234, 7371, 36, 18209, 27694, 284, 2632, 199, 8040, 3115, 3356, 199, 36, 18209, 6548, 311, 258, 2758, 4772, 284, 2632, 14, 507, 3144, 12, 43753, 5399, 540, 4866, 343, 258, 949, 281, 21704, 6548, 14186, 14, 199, 35563, 1032, 333, 1357, 8787, 4331, 402, 262, 2092, 9253, 2471, 258, 1677, 3620, 284, 262, 9197, 281, 21704, 6548, 416, 933, 1220, 3274, 1948, 284, 3239, 12, 289, 11276, 3678, 22, 284, 630, 3144, 14, 199, 23026, 20115, 21704, 1948, 540, 2674, 416, 14253, 284, 3144, 14, 199, 21792, 569, 327, 14116, 5540, 199, 18682, 311, 258, 2445, 14222, 10764, 288, 30392, 803, 310, 2823, 281, 262, 1413, 281, 21704, 6548, 14, 8912, 548, 281, 12458, 15510, 12, 2721, 994, 17559, 2536, 12, 402, 7888, 616, 352, 7210, 12, 262, 670, 281, 10187, 20081, 3636, 717, 343, 33142, 288, 4196, 19079, 311, 11982, 14, 40700, 281, 7147, 3367, 1161, 14738, 9384, 15, 14266, 311, 11982, 327, 2505, 1922, 14813, 14, 6633, 23302, 1976, 3913, 289, 310, 18262, 288, 2414, 89, 289, 262, 1293, 12, 538, 284, 955, 12, 1621, 289, 1020, 12, 1326, 281, 6953, 648, 2128, 12, 650, 5297, 12, 288, 262, 5913, 281, 6953, 25755, 349, 1931, 289, 962, 8558, 343, 351, 6953, 14, 199, 2358, 848, 1734, 513, 21253, 12, 17743, 1175, 647, 3527, 1976, 5957, 288, 4074, 1005, 284, 262, 6356, 2128, 281, 1976, 11985, 288, 1976, 6605, 14, 18890, 284, 6953, 2128, 13, 393, 26280, 10900, 262, 12623, 281, 262, 2930, 4825, 13, 33379, 2276, 288, 281, 262, 4550, 6953, 14963, 288, 17743, 1175, 1352, 289, 11002, 352, 262, 4986, 281, 16352, 714, 16075, 37764, 14, 1052, 384, 6170, 289, 2785, 262, 18360, 281, 680, 22640, 12, 660, 524, 384, 5748, 680, 1005, 327, 717, 258, 9787, 2382, 288, 409, 262, 1027, 650, 3691, 680, 3540, 3799, 31, 199, 461, 1796, 12, 258, 4825, 281, 4504, 1758, 288, 4247, 12, 7253, 4038, 327, 24958, 266, 2405, 1734, 288, 1308, 14970, 4734, 6953, 648, 752, 262, 3216, 281, 2128, 13, 2410, 27002, 22260, 289, 262, 3131, 281, 4247, 14, 362, 7235, 332, 656, 4038, 438, 327, 258, 714, 1643, 281, 1508, 288, 262, 1672, 332, 493, 438, 333, 1371, 37233, 501, 551, 310, 5476, 14, 199, 92, 25076, 9654, 17912, 44670, 2405, 3572, 12, 415, 3901, 306, 4734, 29369, 4497, 12, 12184, 44307, 13715, 12, 39855, 729, 13715, 12, 10815, 13104, 12, 13715, 9744, 10815, 92, 199, 10549, 8515, 5916, 281, 4504, 12, 3104, 281, 13104, 288, 23189, 12, 11704, 1358, 12, 6682, 12, 9209, 12, 5965, 199, 1838, 349, 3601, 747, 10332, 281, 445, 1319, 14, 21006, 258, 5954, 8, 24228, 14, 2279, 22683, 6111, 19976, 625, 77, 40178, 2, 831, 2613, 275, 288, 15526, 6570, 12, 357, 14523, 12, 284, 12222, 13, 2410, 3062, 1679, 840, 1756, 474, 4751, 12, 2112, 289, 258, 1935, 281, 2163, 332, 2805, 20377, 416, 2197, 6530, 2427, 1358, 14, 4081, 3961, 8583, 1339, 333, 262, 6324, 26248, 281, 656, 3062, 1679, 12, 288, 840, 1009, 289, 1993, 8267, 284, 4751, 14, 199, 23547, 642, 13, 2410, 3062, 1679, 2795, 281, 777, 14523, 12, 1257, 343, 262, 2613, 275, 288, 262, 15526, 6570, 14, 1517, 22030, 663, 12, 262, 1310, 5068, 2219, 402, 3062, 1679, 12, 1175, 310, 1533, 289, 2545, 2996, 289, 262, 8188, 281, 262, 15526, 288, 2613, 275, 14523, 284, 1478, 289, 310, 41834, 343, 351, 1310, 2138, 14, 10518, 683, 4052, 332, 5029, 262, 15526, 288, 2613, 275, 6570, 343, 5657, 343, 1509, 414, 262, 1389, 918, 289, 2739, 332, 262, 48474, 663, 840, 2545, 22368, 4371, 279, 12, 564, 332, 3062, 1679, 840, 6589, 262, 5167, 1673, 281, 1310, 14, 199, 18025, 2427, 18756, 3164, 4041, 32118, 288, 597, 1493, 3951, 352, 7316, 281, 2682, 416, 262, 1519, 6966, 12, 3934, 288, 2837, 289, 6565, 262, 1980, 2499, 288, 1890, 262, 2003, 281, 12222, 13, 2410, 3062, 1679, 14, 507, 3961, 2301, 284, 777, 4106, 6095, 15131, 445, 1630, 2477, 284, 12449, 5078, 12730, 288, 12449, 12730, 12, 262, 2163, 1060, 332, 629, 12500, 281, 262, 777, 14523, 619, 432, 310, 258, 3088, 2577, 14, 507, 955, 12, 719, 262, 19765, 12, 357, 2499, 12, 281, 262, 6136, 14523, 311, 1078, 12, 262, 3062, 1144, 412, 1261, 310, 2914, 3888, 14, 199, 4476, 289, 32118, 12, 625, 1633, 683, 4621, 891, 332, 262, 14523, 284, 656, 3062, 1679, 12385, 1438, 5657, 14, 1852, 384, 5354, 409, 660, 18983, 3491, 262, 2003, 281, 656, 1679, 14, 1544, 354, 4670, 262, 1144, 12, 262, 2637, 2141, 281, 19855, 281, 262, 26793, 288, 18983, 11541, 660, 262, 3055, 4394, 2735, 288, 262, 15526, 288, 2613, 275, 3385, 14, 26007, 12, 354, 1321, 262, 20843, 289, 35037, 6052, 1927, 564, 332, 262, 2292, 438, 650, 289, 4106, 797, 5197, 262, 6570, 1823, 43637, 616, 7, 288, 1967, 262, 1144, 559, 4751, 14, 998, 10065, 351, 20652, 332, 21446, 19855, 14, 654, 5225, 262, 12500, 288, 7106, 2205, 281, 262, 3055, 4394, 12, 288, 262, 11620, 332, 6136, 540, 1078, 1315, 199, 461, 4751, 281, 942, 6136, 6570, 414, 5140, 12, 3087, 289, 19548, 332, 3853, 629, 12500, 281, 262, 15526, 288, 2613, 275, 3679, 1438, 258, 1632, 12, 343, 902, 343, 262, 14523, 349, 1078, 14, 199, 2, 1633, 3343, 2889, 327, 262, 3712, 3385, 1469, 12, 1048, 284, 2519, 281, 262, 26793, 288, 18983, 384, 1285, 670, 284, 1478, 289, 4670, 12222, 13, 2410, 3062, 1679, 12, 288, 284, 2519, 281, 262, 1980, 12500, 281, 262, 14523, 288, 660, 332, 619, 1551, 4751, 1634, 32118, 1581, 14, 199, 23035, 1993, 26, 12912, 84, 553, 24489, 1823, 24301, 1746, 31791, 7, 7747, 258, 8320, 6773, 39778, 284, 6998, 13, 25440, 874, 3757, 22009, 199, 5377, 1020, 26, 625, 4987, 380, 2593, 289, 312, 1441, 526, 6420, 931, 26, 36277, 863, 20249, 13, 84, 14400, 281, 415, 15, 33, 1896, 505, 284, 368, 6417, 48, 19, 52, 13, 2410, 48480, 9114, 20014, 3978, 12449, 12730, 12, 3144, 14, 199, 815, 262, 1789, 6001, 12, 1193, 1661, 520, 634, 5820, 284, 11323, 10733, 79, 13, 74, 4287, 363, 34, 40, 42, 9, 12222, 3062, 1679, 363, 4420, 10708, 9, 284, 488, 15526, 15, 16635, 275, 363, 36, 15, 33, 9, 1646, 13, 18688, 3379, 3237, 48371, 6284, 5725, 412, 310, 3778, 288, 284, 629, 2492, 4008, 12, 1132, 9042, 4751, 363, 48, 7449, 9, 907, 2382, 1220, 7017, 507, 1515, 289, 262, 17018, 3786, 281, 3055, 4394, 2292, 12, 717, 343, 5523, 10614, 288, 7170, 1310, 1664, 12, 24058, 3786, 281, 262, 415, 15, 33, 29094, 1229, 15127, 6091, 281, 22220, 12, 7106, 2205, 12, 2292, 10358, 2060, 12, 24627, 4118, 12, 288, 7170, 10257, 12, 349, 551, 281, 1193, 3248, 327, 24986, 2878, 281, 262, 3266, 14, 4451, 12, 1522, 4038, 1229, 2670, 2052, 12, 20843, 41590, 2699, 12, 7962, 41590, 2699, 12, 5670, 281, 20843, 357, 6136, 20843, 438, 634, 3721, 289, 12917, 357, 1422, 281, 262, 19765, 281, 262, 415, 15, 33, 29094, 14, 7423, 656, 12, 13376, 20843, 25144, 438, 634, 6035, 738, 284, 19765, 1422, 14, 1072, 1208, 12, 262, 26088, 2527, 725, 18534, 2567, 363, 15044, 34, 9, 357, 7296, 725, 18534, 2567, 363, 37607, 23440, 17, 12, 1220, 13, 9597, 1271, 5193, 299, 1570, 363, 36, 12619, 9, 13376, 20843, 778, 520, 634, 4301, 3721, 284, 368, 14767, 3505, 22837, 948, 14, 2216, 12500, 258, 1293, 4520, 1537, 281, 415, 12619, 352, 262, 3077, 20843, 363, 15044, 34, 357, 22362, 756, 31004, 281, 748, 4970, 281, 22220, 412, 310, 4730, 9588, 14, 12706, 415, 12619, 12, 536, 26793, 12, 690, 366, 12, 1220, 13, 31483, 28306, 344, 2055, 363, 4901, 756, 437, 13, 36523, 13, 18, 13, 80, 3137, 1104, 318, 572, 363, 46, 7592, 756, 366, 13, 17837, 263, 6703, 10391, 2567, 363, 10835, 756, 7296, 79, 860, 363, 23488, 756, 412, 551, 310, 738, 14, 3661, 289, 656, 1804, 12, 356, 412, 310, 7729, 332, 15127, 6091, 12, 343, 808, 343, 7106, 2205, 284, 262, 29094, 412, 310, 20732, 4641, 402, 1059, 13376, 20843, 25144, 12, 288, 2877, 13376, 20843, 25144, 1345, 258, 909, 976, 1963, 284, 837, 2878, 18796, 10708, 14, 3152, 345, 380, 2396, 3108, 311, 1382, 1643, 281, 17935, 1414, 14, 362, 41433, 281, 445, 1894, 281, 17935, 1414, 4092, 1414, 409, 262, 1047, 281, 262, 17935, 635, 262, 2804, 7232, 597, 3670, 281, 262, 17075, 14, 507, 262, 17935, 32697, 3108, 1643, 281, 17935, 1414, 638, 311, 9514, 333, 262, 5497, 281, 262, 25324, 382, 16958, 14, 507, 445, 2304, 262, 41433, 619, 1805, 1414, 284, 262, 17935, 635, 597, 2773, 4938, 262, 2013, 14, 809, 345, 44565, 349, 551, 4493, 343, 17935, 25708, 493, 349, 1770, 2535, 402, 16884, 10095, 14, 362, 3652, 24981, 281, 262, 10095, 1461, 262, 17935, 14, 199, 1577, 311, 32697, 3108, 31, 199, 34, 2396, 3108, 311, 262, 5486, 281, 258, 32697, 65, 14, 23979, 12, 262, 32697, 65, 2336, 258, 31738, 2145, 332, 520, 2331, 747, 13852, 14, 328, 1632, 14130, 635, 258, 32697, 65, 3314, 21148, 14, 362, 32697, 65, 16667, 641, 48741, 8386, 12, 288, 3314, 513, 288, 513, 29229, 635, 356, 311, 4288, 14, 199, 2172, 262, 2304, 1250, 32697, 3108, 3590, 12, 262, 5692, 31738, 32697, 65, 3314, 17850, 288, 21148, 14, 362, 2922, 11323, 281, 262, 17850, 32697, 65, 2540, 513, 13852, 1307, 351, 2065, 12804, 1809, 14, 3918, 12, 262, 6777, 48741, 32697, 65, 3314, 26487, 1109, 288, 9886, 14, 11719, 281, 351, 21148, 32697, 65, 311, 8646, 288, 32780, 14, 199, 1289, 1406, 272, 511, 1770, 5145, 289, 262, 5486, 281, 258, 1627, 577, 281, 262, 1137, 12, 2851, 380, 2396, 3108, 5145, 289, 262, 3652, 14998, 281, 262, 1647, 28860, 332, 6374, 262, 17935, 281, 262, 3084, 363, 1054, 32697, 65, 595, 380, 2396, 3108, 311, 1092, 2211, 352, 7053, 286, 25295, 38542, 12, 488, 5131, 262, 2388, 288, 17935, 281, 262, 3084, 14, 199, 1577, 2540, 32697, 3108, 31, 199, 13, 380, 2396, 3108, 288, 7053, 286, 25295, 38542, 412, 1484, 635, 258, 1036, 3836, 474, 1664, 281, 1980, 2053, 357, 635, 262, 17935, 382, 83, 2322, 14729, 3314, 21972, 12, 3561, 1098, 3244, 289, 262, 3084, 14, 199, 13, 6123, 15754, 10095, 14, 199, 13, 3759, 462, 22385, 1658, 363, 69, 14 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71, 14, 4017, 13, 277, 15416, 281, 262, 3084, 12, 1229, 653, 13, 26491, 316, 595, 199, 13, 36971, 1543, 9397, 14, 199, 34, 2396, 3108, 1770, 1761, 416, 258, 16169, 2665, 357, 1690, 289, 11575, 288, 7258, 2213, 14, 12387, 590, 1423, 333, 474, 35568, 327, 902, 5157, 357, 942, 590, 15959, 474, 35568, 4300, 288, 16169, 309, 363, 1955, 1208, 12, 258, 2741, 32607, 1059, 258, 10999, 327, 2536, 409, 258, 650, 9, 412, 750, 18769, 32697, 3108, 12, 551, 1250, 33871, 67, 3293, 263, 32697, 3108, 14, 10266, 284, 536, 2317, 281, 262, 1137, 12, 16169, 670, 357, 6608, 2213, 412, 33061, 258, 32697, 65, 288, 1479, 5486, 14, 199, 5443, 1479, 281, 32697, 3108, 311, 258, 13714, 4431, 14, 10731, 8160, 12, 717, 343, 258, 899, 6499, 357, 2077, 12, 258, 2804, 619, 750, 32697, 3108, 14, 12669, 258, 502, 2404, 2540, 9514, 1307, 262, 32697, 65, 14, 362, 32697, 65, 12, 488, 683, 35920, 5692, 616, 1702, 332, 1189, 12, 1129, 4905, 289, 750, 5486, 12, 288, 32697, 3108, 1761, 14, 4612, 262, 32697, 65, 311, 21148, 12, 2708, 5547, 288, 2074, 412, 1426, 8646, 14, 199, 23373, 290, 10865, 1806, 12, 717, 343, 22774, 9397, 12, 619, 551, 1009, 289, 32697, 3108, 14, 1295, 1947, 281, 1806, 412, 848, 1905, 9466, 289, 2751, 32697, 3108, 14, 199, 13, 11186, 30420, 357, 3531, 21455, 14, 199, 13, 13323, 13, 11618, 13203, 14, 199, 13, 338, 1958, 292, 283, 2096, 14, 199, 13, 5265, 2314, 262, 3084, 2870, 4077, 12580, 14, 199, 13, 33159, 4115, 6788, 14, 199, 13, 7741, 2768, 357, 13337, 16502, 14, 14727, 3355, 258, 1338, 1143, 3690, 1602, 343, 1868, 343, 5676, 520, 258, 8998, 1189, 14, 617, 3141, 21205, 5311, 619, 442, 17532, 694, 2761, 3533, 12, 11277, 39026, 2411, 13, 1900, 31460, 14, 199, 46, 7785, 1219, 5311, 349, 8618, 21290, 281, 5311, 6318, 28218, 12, 23203, 262, 2114, 281, 262, 2214, 643, 258, 12544, 262, 2205, 281, 258, 2010, 14, 4081, 20003, 619, 310, 5244, 12, 538, 474, 7408, 7021, 349, 4606, 288, 4095, 9938, 822, 1697, 21116, 12, 262, 14210, 1338, 333, 2399, 12, 1180, 690, 3869, 2021, 402, 6189, 14, 199, 3487, 13621, 619, 442, 17532, 12, 1244, 12, 284, 262, 3441, 1293, 7252, 1073, 258, 6562, 281, 21205, 5311, 4222, 1970, 289, 871, 258, 2284, 6723, 822, 258, 7819, 2296, 289, 5765, 24009, 1257, 343, 1707, 18353, 13, 1900, 24466, 14, 199, 17578, 14228, 605, 281, 262, 3154, 3048, 281, 5226, 284, 35212, 288, 6371, 438, 8122, 660, 262, 11782, 14431, 6063, 281, 717, 5311, 501, 38345, 474, 3622, 12, 3408, 3920, 18430, 3536, 1970, 14, 1023, 262, 5311, 16259, 3074, 963, 536, 12, 21282, 2421, 5060, 12, 493, 24855, 288, 10230, 963, 536, 2421, 5060, 1480, 14, 199, 33, 1293, 7252, 1073, 262, 5311, 24539, 12, 262, 4865, 281, 445, 40897, 288, 13465, 15019, 262, 4865, 409, 488, 552, 281, 262, 5311, 9396, 632, 689, 2865, 14, 654, 5920, 258, 16627, 332, 26610, 262, 21753, 9588, 12, 4328, 262, 3975, 559, 11239, 289, 9959, 284, 748, 3312, 822, 914, 343, 258, 7485, 4119, 619, 442, 17532, 635, 258, 1627, 3884, 311, 18608, 12, 262, 1935, 1581, 363, 21083, 5954, 15809, 12, 18474, 26, 1143, 14, 15071, 19, 15, 25254, 22198, 20472, 14, 22590, 14, 45440, 23240, 595, 199, 461, 3975, 559, 8573, 311, 1480, 3751, 289, 1693, 262, 4854, 6196, 1914, 12, 538, 262, 5787, 2665, 412, 9492, 641, 6299, 2105, 12, 22662, 9490, 288, 3087, 289, 258, 3751, 2411, 13, 1900, 22073, 14, 2094, 840, 4045, 6543, 402, 5004, 559, 27333, 7142, 284, 488, 258, 16289, 281, 2411, 13, 7735, 21065, 629, 1707, 18353, 13, 1900, 24466, 402, 258, 1293, 7252, 14, 199, 25343, 1429, 6543, 281, 2411, 13, 1900, 31460, 352, 942, 281, 14431, 6013, 15946, 402, 262, 5311, 343, 493, 16259, 1870, 840, 4100, 262, 3207, 4865, 409, 488, 262, 442, 39069, 3590, 12, 488, 710, 7747, 513, 579, 262, 5311, 7, 14089, 37189, 12, 1581, 14228, 605, 14, 199, 1683, 354, 710, 690, 289, 16436, 726, 2495, 416, 1136, 18772, 12, 2113, 284, 2864, 357, 2477, 12, 4675, 2572, 262, 21642, 1718, 6616, 753, 327, 8289, 14, 1136, 18772, 1026, 432, 1011, 2379, 289, 7388, 12, 538, 638, 349, 258, 2646, 281, 21509, 4043, 1594, 327, 670, 281, 4766, 288, 12846, 384, 1011, 262, 9181, 289, 14, 199, 10983, 487, 1527, 199, 14725, 31984, 619, 3689, 6688, 333, 445, 2154, 14, 7823, 2788, 284, 14, 199, 14725, 2420, 31984, 619, 3689, 6688, 333, 445, 2154, 2172, 378, 6654, 3472, 7877, 12, 1989, 47666, 33471, 414, 3986, 829, 1436, 12, 288, 552, 281, 262, 2981, 382, 83, 689, 4055, 12322, 14, 363, 23006, 1359, 36114, 12129, 5474, 15, 10112, 36279, 15605, 9, 199, 8314, 47666, 33471, 12, 258, 10295, 4076, 12, 4746, 262, 1450, 8367, 284, 32273, 29310, 14, 1207, 262, 4580, 414, 1908, 1691, 416, 597, 1991, 14, 507, 258, 4240, 289, 597, 2888, 12, 378, 5962, 418, 470, 9386, 332, 378, 20746, 382, 84, 6576, 262, 12167, 5007, 12, 2324, 12, 543, 41, 438, 4539, 8782, 289, 41022, 8848, 258, 37973, 12, 288, 289, 4316, 761, 1018, 1011, 5005, 971, 809, 414, 46351, 402, 262, 302, 31269, 281, 7877, 12, 4568, 378, 7842, 343, 262, 877, 24081, 281, 500, 262, 1587, 382, 83, 47997, 14, 362, 1630, 900, 262, 37441, 12, 33471, 4189, 332, 7877, 710, 310, 12686, 258, 2878, 409, 11538, 382, 83, 21084, 333, 3302, 2087, 14, 2094, 2839, 12, 378, 997, 446, 643, 7877, 382, 83, 16178, 4011, 288, 6654, 1148, 284, 262, 1047, 281, 262, 1600, 14, 617, 414, 262, 753, 650, 258, 4289, 683, 634, 17459, 14, 543, 55, 8546, 511, 20127, 540, 6638, 327, 33471, 12, 288, 333, 3302, 3986, 12, 378, 414, 1075, 19450, 284, 258, 8178, 21196, 288, 6654, 402, 258, 3602, 1205, 44484, 12, 8679, 1461, 8221, 289, 2594, 1148, 284, 8213, 14, 199, 13181, 2370, 1704, 12, 5567, 7044, 447, 263, 14289, 521, 475, 12, 258, 6608, 19527, 12, 7118, 289, 848, 2497, 281, 262, 21744, 1190, 5794, 4982, 332, 262, 7582, 619, 438, 634, 33144, 284, 3449, 363, 2880, 258, 1127, 281, 29948, 371, 13751, 683, 11191, 9, 288, 19535, 283, 409, 2185, 332, 262, 1196, 683, 634, 24508, 409, 262, 4127, 1664, 281, 262, 12167, 1453, 17210, 51, 484, 589, 399, 834, 199, 461, 21744, 281, 3472, 7877, 20209, 258, 2178, 2981, 643, 26401, 4539, 3112, 500, 680, 31436, 1562, 3618, 12, 4991, 14, 7877, 683, 10662, 262, 11941, 1673, 281, 332, 4494, 488, 3312, 641, 1638, 284, 2420, 6798, 14, 809, 414, 258, 533, 590, 1033, 258, 14229, 309, 14964, 11413, 333, 942, 590, 14889, 1148, 12, 23505, 284, 332, 2698, 3472, 9376, 12, 590, 1092, 1033, 2938, 3394, 281, 12630, 46593, 12, 635, 6011, 683, 4985, 602, 289, 4805, 597, 3779, 27, 288, 356, 311, 16138, 12, 332, 12, 719, 378, 288, 262, 9671, 24496, 281, 262, 31618, 1264, 840, 438, 634, 3259, 2680, 289, 2680, 12, 638, 1908, 710, 438, 634, 2948, 1450, 38339, 266, 1875, 12, 726, 15409, 281, 5134, 16059, 27, 327, 378, 710, 432, 438, 6041, 289, 16380, 602, 332, 500, 332, 493, 683, 726, 1025, 289, 2480, 12, 288, 2851, 500, 332, 493, 840, 3136, 474, 8303, 13, 45855, 289, 3174, 327, 12, 710, 310, 513, 5550, 694, 597, 1453, 622, 356, 683, 634, 694, 262, 5348, 281, 717, 1548, 343, 33047, 288, 37218, 12, 590, 1033, 670, 281, 3178, 40301, 288, 7290, 289, 4644, 262, 21448, 5260, 281, 2238, 288, 474, 4304, 4539, 20665, 275, 548, 414, 262, 1811, 281, 262, 2948, 1450, 12, 343, 356, 520, 634, 262, 1811, 281, 748, 536, 31471, 38339, 555, 275, 548, 281, 262, 1800, 288, 3096, 281, 262, 533, 590, 414, 6315, 3472, 284, 14588, 1230, 8851, 12, 288, 590, 6967, 2208, 4758, 981, 352, 1098, 1443, 11134, 2044, 597, 16431, 622, 2421, 1073, 357, 1562, 683, 634, 5082, 402, 258, 533, 7510, 289, 258, 1193, 1274, 900, 258, 12630, 288, 8216, 15409, 4539, 199, 4765, 552, 281, 262, 689, 26315, 281, 1534, 1054, 29948, 895, 382, 61, 1127, 803, 438, 17459, 262, 533, 3147, 6964, 493, 6918, 289, 310, 1479, 327, 1450, 311, 3514, 9187, 12, 962, 284, 3712, 5029, 352, 474, 2178, 1769, 14, 362, 271, 1578, 325, 590, 6654, 262, 5450, 41908, 281, 262, 4459, 311, 281, 10651, 513, 1971, 622, 414, 262, 11029, 488, 378, 738, 14, 362, 1472, 12118, 15366, 281, 4991, 14, 7877, 349, 262, 1548, 3147, 2478, 3259, 579, 262, 2948, 1450, 14, 33471, 382, 83, 23576, 414, 258, 9210, 24672, 12, 1597, 12983, 416, 262, 4544, 1043, 12901, 402, 262, 31618, 1264, 12, 288, 284, 13214, 352, 474, 1769, 994, 262, 1467, 2156, 829, 14, 362, 2077, 281, 258, 1262, 533, 402, 262, 1158, 281, 351, 13889, 260, 1776, 5131, 262, 1991, 513, 6912, 622, 356, 311, 3491, 402, 262, 2077, 281, 4015, 281, 1548, 284, 4448, 27, 538, 284, 7109, 893, 12, 33471, 12, 398, 624, 343, 597, 23576, 414, 12, 412, 310, 2991, 289, 438, 634, 747, 5825, 12, 22931, 12, 622, 414, 332, 1436, 27042, 590, 19076, 2208, 962, 3696, 262, 15615, 281, 15467, 262, 753, 6654, 409, 6601, 5774, 360, 14, 423, 3644, 260, 382, 83, 685, 311, 432, 564, 25791, 283, 343, 33471, 382, 83, 27, 538, 281, 262, 777, 1548, 12, 33471, 15592, 262, 2650, 10625, 38339, 67, 6780, 281, 262, 1408, 389, 1894, 12, 6008, 12, 538, 2049, 289, 310, 10048, 352, 262, 36332, 4362, 12, 343, 262, 1158, 281, 951, 533, 710, 310, 7864, 1461, 641, 4098, 2014, 14, 12506, 262, 31618, 1264, 10993, 12, 423, 3644, 260, 710, 438, 634, 20939, 402, 597, 19589, 27, 538, 907, 258, 3653, 6266, 25134, 710, 438, 634, 1480, 3191, 258, 1587, 327, 262, 41727, 281, 258, 32415, 776, 42117, 14, 5587, 258, 533, 710, 438, 634, 747, 513, 14542, 309, 11232, 907, 284, 2169, 6530, 622, 414, 22083, 20790, 284, 3373, 14, 1265, 343, 378, 8838, 289, 1426, 351, 13889, 260, 900, 262, 2129, 281, 262, 1450, 683, 634, 4729, 12, 288, 635, 597, 4604, 414, 16442, 2208, 32686, 6266, 4494, 564, 1691, 343, 356, 840, 310, 28999, 1323, 17942, 962, 2086, 289, 262, 1587, 12, 33471, 1175, 438, 3478, 289, 1037, 597, 685, 18046, 402, 951, 8002, 6266, 533, 343, 258, 5825, 622, 18342, 6539, 12, 343, 258, 697, 6094, 281, 262, 909, 753, 9500, 14, 12506, 378, 10993, 284, 2841, 11410, 12, 2742, 3973, 47242, 710, 438, 442, 31978, 1148, 12, 288, 438, 4086, 1148, 343, 552, 590, 683, 3259, 351, 284, 22739, 581, 528, 13735, 333, 474, 1479, 12, 288, 551, 683, 15170, 474, 9108, 289, 474, 4350, 5678, 14, 362, 40315, 13, 26872, 281, 42395, 3316, 48519, 8554, 1148, 416, 262, 5712, 2581, 12, 288, 356, 8554, 1148, 551, 416, 262, 3788, 8718, 9260, 281, 262, 1548, 4568, 378, 2296, 289, 4229, 14, 809, 15592, 12, 2851, 12, 258, 1532, 281, 10625, 332, 311, 402, 747, 1483, 1172, 27, 327, 378, 432, 742, 47411, 597, 981, 12, 288, 15170, 356, 5678, 327, 36436, 1548, 289, 27645, 1030, 352, 1148, 12, 538, 378, 8162, 262, 7548, 281, 962, 32765, 288, 4785, 751, 402, 597, 1011, 4304, 4539, 1778, 2742, 3973, 895, 590, 10169, 726, 1988, 13, 22556, 1175, 39394, 332, 552, 3147, 524, 639, 3259, 3027, 4314, 303, 4028, 333, 258, 1479, 332, 840, 432, 808, 6160, 356, 520, 4073, 1914, 288, 6318, 289, 597, 1971, 14, 617, 710, 438, 634, 513, 21595, 289, 10716, 1548, 12, 719, 378, 683, 634, 9577, 327, 262, 5712, 2581, 27, 538, 907, 493, 1175, 12299, 332, 356, 311, 258, 12689, 5251, 289, 726, 661, 590, 853, 11987, 281, 351, 5574, 706, 7506, 12, 896, 493, 619, 310, 2635, 564, 289, 685, 343, 289, 37883, 2238, 12, 288, 289, 1713, 22257, 284, 262, 4020, 281, 262, 7337, 13, 4302, 264, 4539, 4451, 262, 6654, 281, 42395, 3316, 48519, 311, 432, 289, 310, 22809, 1049, 12, 4190, 332, 356, 3828, 1480, 36436, 258, 871, 281, 1766, 289, 552, 590, 683, 10705, 500, 332, 638, 311, 281, 37883, 776, 284, 332, 6699, 281, 10044, 289, 488, 258, 14268, 17118, 311, 6449, 402, 262, 1172, 9502, 281, 12516, 14, 199, 13958, 33471, 414, 262, 7839, 281, 258, 5523, 281, 48089, 1813, 12, 357, 414, 552, 281, 258, 1293, 398, 624, 1548, 590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7118, 351, 5574, 706, 33228, 12, 356, 311, 5678, 289, 1527, 14, 998, 438, 262, 4892, 281, 258, 837, 4560, 4758, 327, 262, 4347, 332, 543, 1054, 3472, 382, 83, 9934, 414, 6192, 284, 3449, 288, 6860, 409, 18854, 20899, 538, 262, 2185, 284, 1164, 281, 445, 11020, 17734, 311, 12, 39263, 327, 262, 1389, 281, 3489, 12, 45188, 409, 262, 650, 384, 3058, 14, 1239, 311, 3514, 43384, 284, 262, 816, 2696, 332, 262, 21744, 7582, 414, 3778, 284, 3449, 12, 343, 629, 281, 262, 398, 301, 389, 10358, 261, 849, 281, 262, 2742, 3973, 1878, 438, 634, 3696, 289, 2016, 284, 332, 1587, 4539, 1207, 356, 311, 432, 16138, 332, 2486, 4983, 683, 3486, 289, 524, 352, 726, 21931, 281, 445, 1894, 14, 362, 6048, 5997, 414, 284, 4887, 262, 603, 394, 281, 2742, 3973, 289, 5320, 262, 543, 5264, 281, 29303, 511, 752, 262, 14145, 281, 15821, 2478, 1461, 468, 416, 262, 6465, 281, 258, 8156, 4539, 199, 4765, 258, 1196, 289, 9934, 3472, 7877, 803, 438, 634, 6860, 409, 18854, 311, 3514, 9187, 27, 288, 1244, 717, 9988, 710, 438, 634, 16376, 309, 24587, 12, 735, 538, 16376, 41251, 311, 262, 5450, 8049, 281, 262, 2178, 6266, 2665, 31, 1052, 262, 10214, 281, 18854, 382, 83, 9988, 414, 3701, 333, 258, 1196, 3778, 284, 3449, 12, 1765, 513, 622, 262, 9934, 281, 4991, 14, 7877, 414, 4896, 14, 617, 1175, 438, 634, 4711, 289, 4743, 951, 533, 590, 840, 13305, 1116, 597, 1274, 12, 2113, 343, 3472, 357, 343, 3472, 347, 22439, 385, 14, 362, 742, 5317, 590, 683, 726, 5424, 289, 1969, 643, 262, 34575, 333, 4991, 14, 7877, 382, 83, 1766, 540, 4991, 14, 7656, 12, 590, 1982, 3472, 333, 262, 1529, 367, 281, 3302, 12, 288, 4991, 14, 23120, 12, 552, 281, 262, 13844, 38031, 12, 590, 311, 3472, 281, 262, 9347, 4539, 617, 1026, 432, 1764, 332, 726, 2781, 414, 1033, 333, 262, 981, 281, 4991, 14, 23120, 12, 1244, 4991, 14, 7656, 414, 333, 262, 1636, 281, 942, 28546, 402, 262, 13889, 882, 27, 288, 262, 30455, 2819, 1033, 333, 4991, 14, 24271, 472, 2471, 735, 942, 13889, 882, 540, 5602, 281, 14, 1207, 683, 500, 262, 2209, 281, 262, 7371, 634, 10146, 1166, 409, 262, 1027, 650, 12, 356, 311, 432, 409, 500, 16138, 332, 543, 280, 8114, 511, 710, 438, 634, 262, 888, 12, 1244, 289, 2400, 332, 1175, 438, 634, 262, 1638, 8097, 409, 402, 262, 48089, 1813, 14, 1057, 8114, 311, 432, 564, 2865, 3259, 579, 343, 5317, 281, 351, 23740, 434, 1713, 281, 1991, 16124, 14, 362, 2520, 384, 438, 6318, 752, 1562, 262, 2091, 281, 14588, 520, 14563, 468, 289, 6160, 748, 29775, 33118, 333, 1478, 1323, 680, 4231, 4083, 309, 14, 3692, 18713, 311, 12, 332, 12, 719, 951, 533, 590, 2991, 837, 4065, 409, 3618, 683, 634, 4387, 333, 262, 2087, 367, 281, 3302, 12, 1567, 710, 438, 6318, 5881, 992, 343, 384, 438, 2063, 602, 647, 12, 288, 332, 2877, 262, 1378, 661, 710, 438, 36215, 18845, 474, 1025, 289, 310, 2196, 258, 1988, 13, 71, 36411, 4564, 14, 617, 710, 432, 310, 258, 909, 5252, 6309, 2296, 12, 332, 262, 3916, 281, 262, 1587, 311, 409, 262, 3468, 281, 726, 12391, 281, 27690, 421, 3644, 1390, 590, 803, 438, 262, 3830, 289, 871, 351, 21744, 7582, 12, 262, 21261, 289, 1465, 12979, 27393, 474, 3096, 12, 288, 262, 11944, 893, 288, 262, 6044, 35227, 289, 3270, 356, 568, 289, 641, 689, 7471, 4062, 26, 327, 262, 13111, 281, 552, 281, 942, 4062, 1285, 310, 10249, 289, 262, 2178, 1349, 14, 3923, 1026, 432, 1814, 284, 717, 27378, 343, 332, 14, 199, 74, 1779, 32415, 6210, 46053, 12, 258, 10295, 4076, 12, 4746, 262, 1450, 8367, 284, 32273, 29310, 14, 1207, 262, 4580, 414, 1908, 1691, 416, 597, 1991, 14, 507, 258, 4240, 289, 597, 2888, 12, 378, 5962, 418, 470, 9386, 332, 378, 20746, 382, 84, 6576, 262, 12167, 5007, 12, 2324, 12, 543, 41, 438, 4539, 8782, 289, 41022, 8848, 258, 37973, 12, 288, 289, 4316, 761, 1018, 1011, 5005, 971, 809, 414, 46351, 402, 262, 302, 31269, 281, 7877, 12, 4568, 378, 7842, 343, 262, 877, 24081, 281, 500, 262, 1587, 382, 83, 47997, 14, 199, 461, 1630, 900, 262, 37441, 12, 33471, 4189, 332, 7877, 710, 310, 12686, 258, 2878, 409, 11538, 382, 83, 21084, 333, 3302, 2087, 14, 2094, 2839, 12, 378, 997, 446, 643, 7877, 382, 83, 16178, 4011, 288, 6654, 1148, 284, 262, 1047, 281, 262, 1600, 14, 617, 2918, 3596, 1267, 367, 12, 4091, 2245, 284, 4754, 14894, 501, 6503, 333, 258, 22873, 289, 42292, 69, 416, 262, 4760, 577, 281, 262, 1587, 14, 328, 8376, 284, 262, 2931, 281, 491, 18848, 12, 262, 2241, 3453, 281, 4754, 14894, 12, 12270, 1166, 289, 445, 22873, 12, 3837, 434, 281, 262, 18927, 382, 16272, 289, 577, 416, 262, 32813, 45675, 3296, 14, 15375, 1925, 12, 262, 7065, 32040, 17621, 5240, 332, 4859, 289, 15654, 262, 1374, 311, 432, 351, 7607, 2129, 14, 617, 382, 83, 500, 2264, 12, 577, 281, 777, 18979, 2948, 8893, 332, 438, 634, 327, 4146, 28703, 262, 2981, 5661, 27, 343, 281, 2764, 12, 9005, 14, 199, 35151, 280, 520, 10800, 634, 2063, 402, 748, 343, 262, 6760, 831, 262, 4978, 288, 262, 3161, 12953, 1190, 572, 432, 2721, 2578, 289, 2920, 14, 362, 3296, 288, 262, 3387, 281, 14894, 349, 914, 579, 343, 17191, 288, 43422, 885, 416, 963, 536, 343, 354, 840, 5773, 7436, 14, 507, 262, 3296, 12, 4978, 2679, 31421, 12, 288, 262, 3776, 4583, 311, 7356, 14, 507, 262, 3387, 12, 262, 11462, 2679, 311, 513, 10800, 826, 13, 19891, 3161, 12, 288, 262, 2893, 11842, 349, 1443, 371, 3859, 1744, 288, 8563, 14, 16586, 1562, 262, 1587, 7410, 6611, 416, 4906, 284, 16271, 12, 262, 3404, 288, 3392, 1744, 281, 262, 3296, 438, 634, 7684, 12134, 333, 262, 2178, 281, 14894, 12, 4406, 284, 4754, 4006, 288, 262, 6825, 31887, 14, 199, 815, 1501, 12, 445, 38743, 281, 258, 18567, 986, 281, 6569, 412, 284, 1203, 577, 310, 9523, 289, 262, 1507, 46523, 4289, 12, 43467, 358, 13, 34, 1241, 337, 14, 990, 13, 34, 1241, 337, 14938, 289, 1132, 284, 8999, 752, 258, 1400, 1360, 17678, 12, 288, 445, 1789, 3302, 12, 3632, 262, 753, 41696, 9787, 6964, 262, 2981, 520, 2991, 284, 2818, 829, 14, 339, 22994, 289, 956, 262, 6964, 9787, 896, 748, 2668, 332, 358, 13, 34, 1241, 337, 12, 590, 311, 22405, 327, 597, 12104, 12, 6832, 1721, 356, 284, 597, 4157, 14, 2561, 638, 311, 747, 7144, 12, 356, 311, 2755, 432, 18211, 289, 1755, 332, 2907, 590, 349, 284, 1132, 752, 258, 17678, 438, 1677, 24663, 284, 726, 1597, 9626, 14, 9392, 378, 311, 1025, 2562, 284, 1132, 357, 432, 12, 358, 13, 34, 1241, 337, 520, 12134, 4760, 16824, 2447, 262, 2178, 2981, 12, 258, 2893, 1479, 281, 262, 46523, 2948, 8893, 14, 2855, 13671, 262, 7065, 32040, 17621, 12, 914, 258, 2123, 12020, 281, 262, 4882, 43299, 1562, 14894, 382, 83, 6611, 12, 289, 358, 13, 34, 1241, 337, 14, 3933, 281, 656, 30816, 12, 378, 311, 3601, 333, 5251, 327, 1450, 10037, 12, 262, 742, 1507, 1600, 281, 1117, 284, 717, 258, 42955, 3824, 14, 1583, 4365, 1393, 597, 38743, 277, 21696, 1993, 12, 358, 13, 34, 1241, 337, 520, 954, 332, 719, 262, 3387, 42292, 270, 12, 378, 501, 17430, 1468, 3470, 382, 65, 284, 262, 3296, 12, 284, 351, 3672, 289, 848, 4760, 14894, 10141, 351, 8360, 1117, 14, 199, 5935, 753, 2647, 289, 445, 3142, 414, 15952, 26, 1084, 1206, 777, 7827, 564, 29081, 885, 416, 552, 1382, 1045, 616, 1870, 284, 262, 753, 1274, 31, 654, 311, 432, 262, 1027, 343, 262, 1378, 5003, 1975, 12, 843, 5815, 3615, 2635, 289, 20077, 3615, 12, 488, 284, 1713, 2635, 289, 29948, 14, 507, 262, 46523, 1617, 12, 20077, 288, 3404, 3615, 8774, 902, 1073, 262, 1587, 7410, 6611, 14, 4183, 12, 552, 803, 1180, 289, 27079, 343, 262, 2893, 1479, 281, 14894, 382, 83, 1658, 14, 617, 3141, 289, 550, 332, 14894, 382, 83, 6611, 948, 414, 32969, 16877, 27, 7798, 409, 262, 650, 281, 2114, 2959, 792, 29136, 1286, 284, 3072, 14, 617, 382, 83, 343, 719, 4906, 16477, 568, 281, 262, 2439, 288, 12493, 258, 2144, 6452, 409, 5511, 14, 1265, 1129, 12, 900, 653, 2390, 258, 1820, 12, 262, 661, 1321, 332, 289, 1311, 14, 199, 8898, 262, 22873, 333, 7697, 327, 1863, 1630, 12, 262, 2070, 714, 6452, 1261, 520, 432, 634, 986, 14, 16670, 12, 281, 1769, 12, 311, 258, 3845, 14, 14894, 311, 552, 281, 262, 689, 2341, 13, 5071, 5112, 281, 3072, 12, 538, 689, 281, 262, 1587, 382, 83, 2341, 311, 891, 284, 262, 3387, 14, 1775, 262, 552, 1158, 12, 262, 3296, 1285, 432, 1321, 289, 2827, 258, 714, 10179, 843, 262, 3387, 4393, 500, 281, 262, 4221, 4699, 12, 258, 2070, 1479, 327, 907, 513, 31887, 14, 1775, 262, 536, 1158, 12, 629, 935, 2341, 343, 258, 2070, 1374, 332, 840, 1465, 262, 777, 5497, 8872, 719, 493, 524, 1045, 616, 25203, 14, 40564, 6274, 327, 262, 2341, 4699, 619, 2594, 262, 777, 5497, 1870, 17102, 4464, 719, 262, 7663, 6345, 616, 7475, 31952, 14, 199, 1759, 354, 412, 935, 12, 445, 3142, 311, 4095, 2302, 12, 1691, 513, 564, 622, 262, 3387, 2662, 4728, 543, 684, 1321, 289, 42292, 69, 511, 288, 29948, 911, 7475, 14, 1583, 1437, 1235, 262, 3749, 12, 552, 1812, 289, 1755, 262, 1789, 12, 538, 552, 803, 551, 1755, 262, 1843, 26, 735, 501, 4151, 719, 262, 1507, 2981, 281, 14894, 1026, 284, 955, 7663, 31, 339, 749, 15952, 2721, 579, 942, 590, 438, 474, 5332, 284, 262, 3387, 538, 2016, 284, 262, 3296, 14, 3900, 262, 22873, 414, 6915, 12, 748, 281, 656, 661, 438, 4288, 1047, 289, 262, 3387, 12, 538, 258, 3805, 1127, 1261, 3353, 284, 262, 3296, 14, 1729, 501, 4151, 289, 656, 4948, 1557, 13, 23648, 661, 363, 420, 8968, 10831, 9, 719, 262, 3296, 1026, 284, 955, 17430, 1468, 3470, 382, 65, 333, 358, 13, 34, 1241, 337, 382, 83, 355, 317, 31, 990, 13, 34, 1241, 337, 501, 647, 416, 351, 546, 25016, 281, 4760, 4978, 288, 8360, 3095, 289, 962, 3626, 39799, 281, 445, 1677, 9238, 284, 597, 7380, 34648, 2390, 281, 14894, 12, 288, 262, 1761, 710, 310, 15334, 14, 199, 1577, 4533, 710, 258, 46523, 7663, 10507, 289, 262, 1423, 281, 3072, 12, 262, 1423, 281, 262, 904, 31, 362, 3161, 3942, 12115, 332, 258, 46523, 7663, 710, 44592, 536, 29948, 895, 1161, 262, 9768, 14, 3160, 5112, 16961, 1795, 5126, 12, 5815, 9460, 281, 1417, 619, 1563, 432, 742, 332, 493, 438, 258, 1025, 289, 42292, 69, 12, 538, 619, 907, 1563, 7313, 289, 524, 564, 14, 1309, 445, 1894, 281, 25298, 6837, 262, 1025, 3005, 289, 717, 258, 7107, 3714, 5902, 31, 199, 4164, 638, 907, 258, 1025, 3005, 31, 20252, 1745, 289, 3315, 332, 262, 2981, 501, 17438, 7663, 14, 9392, 445, 27158, 323, 44747, 4469, 3639, 258, 14772, 12, 9787, 12, 288, 12448, 22873, 357, 752, 8674, 43299, 311, 258, 2541, 332, 742, 650, 501, 2235, 14, 339, 501, 4969, 310, 1597, 445, 2664, 284, 262, 3777, 3263, 12, 288, 339, 3624, 445, 2154, 1073, 262, 12294, 22873, 284, 262, 3493, 289, 10389, 513, 1417, 333, 262, 2664, 14, 339, 16233, 354, 289, 1012, 356, 284, 262, 3228, 27, 262, 1761, 1551, 258, 992, 8523, 1374, 622, 2662, 14894, 14, 199, 28964, 20732, 327, 1018, 1863, 6959, 12, 843, 339, 501, 6789, 288, 4223, 777, 2907, 284, 2169, 2212, 333, 6086, 5497, 281, 262, 2241, 7421, 288, 6789, 474, 11543, 2241, 1744, 289, 332, 281, 262, 1519, 1618, 14, 199, 35563, 9272, 402, 4343, 608, 20197, 1380, 363, 3329, 500, 9, 199, 13, 10306, 10086, 310, 258, 577, 281, 625, 12887, 8036, 822, 4107, 3986, 12, 3239, 199, 13, 3804, 264, 1708, 24483, 26, 10178, 1392, 25096, 2060, 284, 5093, 1378, 16722, 822, 3596, 4060, 12, 3239, 199, 13, 1544, 2064, 10812, 16474, 1918, 5318, 822, 3753, 5782, 12, 3134, 40966, 40797, 4905, 445, 630, 333, 3753, 366, 306, 12, 409, 30257, 824, 14, 1733, 9671, 14, 1544, 339, 1527, 543, 40966, 40797, 1198, 262, 753, 2577, 354, 1284, 281, 311 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 10136, 8007, 1855, 4809, 12, 5638, 579, 543, 21709, 18748, 15796, 971, 1052, 354, 349, 258, 1670, 513, 4299, 289, 4002, 2679, 12, 354, 619, 551, 1284, 579, 258, 49061, 13615, 357, 13535, 2778, 6210, 363, 80, 1224, 1124, 595, 2561, 356, 382, 83, 3654, 1250, 262, 543, 38, 389, 2125, 281, 31622, 1198, 258, 1437, 7736, 311, 543, 36, 17704, 971, 9442, 4002, 363, 16727, 394, 67, 1526, 409, 1220, 1741, 12, 3325, 361, 33625, 1179, 409, 1624, 2277, 9, 288, 258, 1730, 13, 31537, 264, 363, 1955, 653, 1529, 829, 756, 339, 382, 68, 690, 289, 1803, 258, 4989, 6801, 281, 445, 8839, 12, 288, 1829, 356, 382, 83, 258, 8904, 3563, 289, 734, 550, 7776, 262, 4184, 14, 199, 4688, 382, 83, 262, 2080, 281, 45603, 26, 507, 262, 428, 273, 1820, 5356, 12, 26271, 23891, 7491, 10439, 5553, 7410, 1422, 653, 2317, 281, 262, 5441, 3718, 12, 1229, 38240, 363, 21870, 595, 809, 14651, 351, 17566, 289, 22900, 284, 262, 9161, 284, 8287, 12, 288, 25968, 12511, 638, 12, 488, 349, 34772, 289, 4693, 14, 362, 47003, 1234, 1503, 2635, 258, 20010, 12, 4935, 47574, 8287, 288, 262, 9161, 284, 26712, 5356, 14, 7154, 1569, 840, 310, 4557, 41893, 284, 262, 9161, 12, 356, 683, 289, 310, 15594, 288, 6226, 14, 362, 1548, 34115, 363, 76, 1506, 9, 683, 289, 4430, 10908, 327, 1220, 1741, 327, 262, 21344, 948, 14, 7507, 638, 742, 962, 1927, 12681, 2341, 327, 552, 1115, 12, 262, 2341, 24213, 4310, 13171, 327, 1220, 1741, 288, 15796, 14, 2094, 311, 1829, 45603, 311, 8611, 327, 1220, 15796, 14, 199, 5008, 661, 1755, 445, 19829, 289, 310, 262, 1045, 284, 2345, 12, 288, 339, 1284, 262, 7554, 2564, 311, 12597, 14, 362, 1189, 3679, 382, 84, 914, 332, 1569, 1206, 258, 19829, 12, 538, 332, 262, 19829, 414, 262, 1483, 289, 1228, 8387, 289, 310, 4557, 41893, 14, 362, 9161, 2286, 289, 310, 24890, 284, 1478, 327, 26199, 289, 310, 41893, 12, 538, 356, 9085, 382, 84, 310, 24890, 5907, 809, 3951, 258, 19829, 14, 1569, 3951, 258, 19829, 564, 332, 2426, 661, 840, 310, 1531, 8387, 284, 7776, 14, 199, 6517, 468, 432, 3807, 332, 2564, 12, 343, 384, 9016, 262, 16197, 281, 3346, 1730, 12, 262, 8084, 281, 262, 904, 363, 8314, 1220, 26, 1694, 595, 339, 1362, 382, 84, 1284, 384, 713, 7140, 289, 2984, 333, 262, 3050, 281, 3346, 12, 538, 384, 713, 289, 1755, 1829, 262, 8024, 2215, 2426, 9329, 14, 1569, 4237, 258, 19829, 363, 1054, 3619, 24626, 9, 432, 343, 351, 1045, 289, 2345, 12, 538, 343, 258, 1483, 289, 1228, 468, 289, 310, 1531, 8387, 284, 7776, 363, 8518, 1730, 382, 83, 2173, 41800, 10547, 327, 680, 13932, 595, 3346, 1206, 432, 1629, 742, 289, 310, 18363, 279, 409, 343, 258, 3878, 12, 538, 289, 13503, 568, 2426, 981, 288, 1400, 12, 289, 1558, 262, 918, 327, 258, 714, 16846, 352, 8387, 14, 1925, 368, 3179, 3306, 72, 4124, 380, 2418, 199, 6517, 382, 83, 3990, 262, 5894, 281, 9824, 23387, 402, 12552, 258, 1541, 327, 262, 753, 650, 1, 1265, 735, 840, 310, 258, 1437, 3857, 289, 1177, 622, 262, 4055, 7400, 318, 1140, 382, 83, 9119, 725, 377, 31, 4732, 515, 283, 289, 262, 1532, 1427, 481, 6546, 5134, 318, 32699, 12, 445, 2942, 311, 552, 281, 262, 36577, 281, 22872, 12, 962, 262, 6259, 1532, 281, 445, 10695, 891, 284, 262, 4666, 14, 199, 5888, 1950, 616, 289, 2046, 287, 284, 4923, 288, 1952, 258, 5658, 13964, 742, 35642, 409, 262, 909, 1489, 12, 356, 520, 258, 2994, 1180, 288, 311, 891, 742, 409, 22252, 22872, 14, 1444, 12, 5094, 962, 564, 9749, 288, 4055, 12, 356, 311, 8427, 343, 351, 9693, 1532, 402, 23340, 3715, 7306, 12, 352, 258, 14744, 1822, 8445, 402, 5584, 6741, 14, 199, 1201, 2942, 311, 551, 7684, 18945, 12, 1952, 4333, 338, 13, 5071, 5278, 488, 412, 310, 8181, 3945, 288, 4528, 738, 289, 5462, 2341, 14, 4714, 10492, 412, 551, 310, 738, 289, 848, 30445, 288, 748, 3011, 349, 891, 352, 25225, 1690, 289, 262, 11491, 281, 577, 281, 262, 10492, 14, 199, 14035, 258, 26665, 13964, 12, 278, 7789, 11990, 349, 1533, 289, 3374, 352, 7800, 402, 8875, 334, 275, 2314, 819, 2971, 602, 14, 1239, 349, 747, 4500, 10510, 599, 12, 488, 412, 310, 1690, 289, 262, 946, 2449, 281, 262, 2676, 10510, 275, 402, 1159, 2074, 14, 199, 22861, 1125, 770, 2091, 289, 8313, 819, 4244, 284, 262, 3031, 24611, 2752, 12, 1817, 748, 1203, 3011, 349, 891, 284, 1776, 3031, 22108, 882, 14, 654, 2833, 311, 1690, 289, 1159, 1672, 332, 3879, 262, 1666, 5033, 12, 14398, 356, 289, 1426, 26862, 622, 356, 414, 14, 6070, 1574, 438, 747, 357, 909, 2730, 2291, 289, 29820, 288, 2833, 501, 1908, 647, 1047, 289, 735, 493, 540, 288, 12, 2162, 262, 1436, 3011, 4567, 12, 638, 501, 310, 747, 513, 22851, 725, 11990, 638, 14, 199, 13, 797, 822, 199, 30402, 394, 12, 415, 14, 328, 14, 363, 16421, 595, 328, 32938, 38418, 281, 1427, 481, 6546, 363, 34, 3169, 393, 16671, 9, 30297, 281, 262, 10293, 30229, 9730, 12, 15501, 12, 38435, 13, 45345, 18474, 26, 1143, 14, 25107, 23, 15, 3275, 5058, 5977, 19, 199, 33940, 14, 10136, 2985, 518, 5134, 318, 32699, 14, 10978, 2477, 409, 5697, 8923, 2102, 268, 14, 27788, 14, 2279, 15, 25725, 15, 3981, 481, 6546, 63, 24660, 318, 32699, 25431, 6919, 333, 3604, 23290, 12, 3144, 14, 199, 11429, 8174, 17341, 7424, 6214, 14, 1427, 481, 6546, 5134, 318, 32699, 14, 507, 26, 23340, 3144, 14, 23340, 3715, 7306, 281, 34568, 11503, 14, 17975, 3144, 14, 17, 14, 5697, 3038, 14, 73, 769, 78, 453, 10056, 14, 2279, 25431, 6919, 333, 3604, 23290, 12, 3144, 14, 43, 73, 312, 12759, 363, 45, 33625, 322, 9, 199, 2029, 513, 13100, 333, 445, 5445, 12, 935, 262, 16746, 289, 445, 5195, 12, 2075, 409, 3115, 4195, 14, 199, 1201, 2273, 382, 83, 1442, 24413, 311, 1389, 1257, 327, 262, 8320, 288, 34307, 8904, 2080, 281, 262, 12415, 338, 1951, 288, 262, 17529, 9050, 12, 281, 9363, 382, 2753, 6859, 333, 11526, 281, 3591, 12, 288, 262, 19569, 22350, 284, 262, 14089, 4576, 281, 9363, 352, 1569, 284, 262, 5146, 915, 281, 262, 7459, 1190, 9964, 16103, 579, 488, 339, 382, 304, 2684, 409, 3194, 12, 416, 1835, 4267, 12, 284, 2506, 829, 14, 6132, 262, 753, 3000, 281, 262, 2456, 363, 3551, 359, 2046, 26, 1816, 13, 5673, 26, 2134, 9, 311, 5372, 352, 1835, 4867, 40404, 322, 12, 4466, 4946, 333, 262, 8280, 7776, 4192, 284, 262, 9161, 12, 488, 2978, 289, 310, 36940, 3378, 653, 284, 1339, 281, 262, 6985, 1417, 281, 262, 338, 1951, 2080, 14, 1023, 445, 630, 384, 349, 5372, 5034, 352, 262, 40404, 322, 284, 963, 1442, 24413, 12, 339, 3114, 1705, 333, 445, 3178, 14, 199, 3487, 1398, 26, 262, 3974, 402, 963, 35854, 1534, 29713, 61, 281, 258, 2390, 13, 6847, 25050, 289, 262, 9161, 27, 262, 1697, 281, 262, 2514, 335, 12, 416, 488, 262, 12957, 9291, 474, 3153, 288, 2773, 1073, 8321, 284, 17529, 2522, 27, 262, 45409, 281, 262, 33315, 288, 281, 262, 351, 1640, 283, 2341, 27, 288, 262, 40629, 14, 339, 3114, 1705, 1469, 2208, 262, 10692, 281, 262, 3153, 14, 199, 22781, 13, 25517, 311, 258, 5177, 4002, 8280, 26, 356, 311, 12, 284, 955, 12, 262, 753, 685, 4237, 402, 31741, 4693, 2208, 31828, 284, 262, 5000, 363, 11549, 661, 907, 1465, 258, 6821, 281, 819, 1863, 289, 474, 11672, 12, 564, 332, 493, 619, 9291, 474, 3153, 1073, 2476, 907, 258, 2123, 1969, 3675, 552, 16050, 258, 8280, 10692, 281, 262, 3153, 1073, 3426, 6473, 27, 1073, 963, 281, 262, 2879, 15683, 27, 2589, 14, 362, 3178, 1469, 7336, 352, 262, 2514, 335, 284, 262, 9161, 363, 3551, 359, 2046, 26, 2134, 13, 3090, 9, 311, 551, 552, 281, 262, 1604, 11620, 416, 262, 13121, 36872, 402, 748, 963, 5000, 12, 343, 577, 281, 262, 3178, 281, 262, 34948, 1257, 343, 489, 275, 2716, 322, 12, 11256, 281, 23065, 288, 16683, 13121, 27632, 281, 262, 3200, 35627, 778, 12, 332, 41513, 35600, 5617, 73, 373, 13, 58, 317, 324, 14, 199, 51, 38216, 391, 13, 40, 260, 31477, 12, 409, 18320, 23416, 12, 5151, 262, 10692, 281, 3153, 343, 351, 751, 36732, 281, 262, 7074, 1690, 289, 262, 9161, 288, 641, 2522, 1190, 572, 281, 748, 3375, 4896, 289, 7074, 12, 2824, 1411, 12, 288, 25368, 1411, 262, 9161, 14, 3645, 719, 262, 10836, 414, 5657, 288, 2507, 12, 378, 1175, 9291, 363, 36782, 12, 543, 31001, 299, 1411, 10626, 597, 3153, 1073, 8321, 284, 1043, 359, 1179, 14, 654, 2266, 21582, 281, 21344, 4677, 343, 258, 1894, 281, 9405, 831, 262, 17529, 2522, 288, 6742, 981, 14, 617, 2922, 258, 4494, 281, 23566, 388, 12, 281, 34141, 12, 258, 2497, 332, 552, 414, 7119, 284, 1765, 1842, 12, 284, 629, 918, 4106, 416, 262, 32248, 2074, 281, 2609, 981, 14, 363, 3086, 1158, 13, 25517, 402, 489, 1135, 20367, 12, 284, 262, 5000, 12, 414, 4926, 12, 5907, 493, 1910, 262, 9161, 8629, 357, 5197, 3188, 262, 18362, 281, 474, 9029, 2053, 2362, 3692, 1011, 1938, 301, 266, 336, 346, 1985, 12, 1972, 1073, 9162, 357, 8998, 6473, 12, 619, 310, 2063, 343, 258, 1894, 281, 8983, 10308, 290, 3270, 1727, 416, 262, 9161, 2522, 12, 21229, 333, 262, 1014, 281, 27492, 30098, 43722, 14, 199, 1577, 311, 262, 20740, 281, 45112, 552, 382, 83, 3153, 31, 3957, 12, 343, 258, 11790, 3947, 12, 343, 258, 20843, 332, 36561, 1914, 748, 281, 262, 1567, 352, 488, 356, 2318, 284, 2572, 12, 311, 409, 2162, 258, 1647, 3837, 281, 1048, 17956, 12, 288, 281, 262, 23565, 281, 981, 14, 2243, 317, 11342, 89, 317, 1190, 20154, 5021, 1190, 272, 351, 1624, 1436, 6701, 14, 13121, 311, 2958, 289, 819, 27, 819, 12, 6973, 11790, 12, 311, 6973, 10327, 289, 641, 2138, 14, 1635, 262, 6507, 281, 17645, 12, 543, 1054, 1211, 501, 310, 5967, 352, 1976, 281, 262, 4184, 12, 690, 5021, 1959, 1166, 289, 262, 2898, 971, 328, 1078, 577, 281, 445, 311, 19535, 279, 284, 445, 2266, 12, 6742, 21582, 14, 199, 1289, 6396, 332, 445, 2981, 311, 2997, 661, 511, 199, 2663, 339, 2252, 1379, 653, 25427, 312, 12759, 1323, 629, 5165, 333, 262, 8440, 281, 262, 12415, 338, 1951, 288, 641, 32878, 14, 654, 2273, 12, 2456, 752, 262, 1798, 281, 262, 1442, 24413, 284, 7051, 327, 258, 442, 73, 323, 363, 5129, 19157, 47301, 263, 12, 10679, 281, 42848, 12, 258, 12995, 371, 13, 13411, 3453, 327, 262, 1019, 281, 15500, 284, 16650, 38668, 12, 1250, 543, 66, 529, 8729, 2456, 21192, 5363, 311, 12, 45463, 12, 1323, 36159, 9521, 756, 339, 3733, 1765, 24116, 2266, 332, 339, 683, 1908, 8964, 1073, 284, 2914, 262, 1027, 918, 14, 199, 3428, 262, 3119, 281, 262, 338, 1951, 8440, 12, 1569, 5937, 9363, 12, 590, 520, 634, 616, 333, 262, 5882, 352, 8387, 12, 543, 5190, 1166, 12, 327, 487, 661, 438, 42482, 511, 363, 5485, 26, 23, 595, 328, 1293, 15073, 1704, 12, 635, 1569, 10872, 3689, 281, 9363, 363, 11448, 289, 4272, 602, 12, 9363, 42492, 327, 16034, 333, 11526, 281, 262, 661, 352, 262, 1798, 543, 4811, 803, 2997, 9050, 4430, 564, 41352, 1461, 2997, 661, 19008, 363, 86, 14, 2555, 595, 2094, 311, 12, 1569, 5695, 602, 9363, 382, 661, 12, 1106, 9363, 5145, 289, 602, 343, 1569, 382, 83, 661, 14, 36975, 289, 445, 5613, 12, 963, 281, 602, 5145, 289, 602, 11533, 284, 262, 3000, 1036, 12, 343, 543, 1054, 661, 511, 357, 543, 9186, 661, 511, 363, 22972, 41399, 46321, 27, 40319, 41399, 46321, 40319, 148, 245, 22972, 595, 19734, 281, 602, 5145, 289, 602, 12, 343, 1569, 1206, 284, 262, 4417, 17869, 289, 9363, 409, 262, 6898, 14396, 363, 35618, 673, 26, 23, 288, 1379, 317, 9, 343, 543, 2455, 661, 1198, 357, 352, 262, 42922, 5424, 12, 543, 1054, 957, 281, 3591, 21192, 295, 719, 1048, 5082, 258, 1627, 35267, 12, 281, 3953, 416, 445, 45915, 12, 1342, 618, 706, 16911, 14, 6205, 3074, 262, 1045, 12, 900, 1569, 18483, 432, 289, 4272, 602, 12, 538, 1261, 2244, 543, 41, 501, 432, 647, 616, 352, 602, 1198 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 461, 16975, 11582, 199, 2029, 500, 262, 2659, 12, 27586, 288, 24342, 284, 11582, 31626, 382, 83, 2957, 12, 735, 493, 349, 2081, 579, 311, 4541, 288, 6611, 14, 12282, 281, 2296, 288, 262, 4541, 289, 3559, 14, 199, 35668, 382, 83, 22504, 281, 4991, 14, 17168, 2967, 281, 5842, 3780, 351, 6611, 17711, 2063, 284, 6270, 880, 281, 262, 1115, 14, 3218, 22504, 281, 4991, 14, 7065, 839, 1106, 13041, 402, 9050, 3780, 258, 1014, 281, 6611, 332, 1910, 1148, 22924, 288, 43305, 14, 199, 461, 4541, 993, 15592, 284, 4935, 15722, 1148, 284, 1367, 37578, 281, 12455, 17222, 288, 7391, 867, 3412, 710, 5334, 33581, 414, 7419, 907, 327, 31626, 14, 507, 867, 1467, 1680, 11128, 44367, 311, 24314, 289, 15110, 12088, 44864, 9231, 409, 12455, 11646, 834, 382, 83, 36361, 14, 199, 4840, 11582, 5204, 402, 262, 3666, 281, 262, 1115, 12, 500, 281, 867, 2324, 311, 36462, 352, 660, 993, 4415, 981, 289, 310, 14, 2187, 1245, 1394, 2072, 83, 382, 867, 25641, 409, 262, 8731, 327, 1385, 284, 24487, 14, 199, 2172, 700, 456, 279, 402, 10366, 14, 3019, 1380, 12, 11582, 46112, 1581, 12, 199, 1289, 42615, 1514, 550, 12, 11387, 382, 342, 12, 538, 445, 311, 402, 747, 1483, 1018, 8846, 27, 339, 848, 747, 12628, 8848, 12, 288, 803, 310, 21963, 289, 438, 726, 1033, 402, 1018, 3394, 14, 1544, 339, 749, 2914, 4582, 343, 289, 262, 650, 12, 339, 749, 432, 409, 500, 10844, 281, 962, 902, 23161, 14, 1239, 349, 3312, 284, 2931, 12, 10129, 12, 843, 12628, 710, 3064, 2400, 1765, 1512, 10129, 327, 262, 9006, 12, 432, 2914, 281, 1159, 11614, 12, 538, 281, 1159, 6042, 971, 199, 1289, 16276, 1, 1018, 17450, 12, 1159, 11614, 1, 1226, 2914, 7203, 550, 27, 719, 354, 1530, 258, 817, 283, 409, 262, 7752, 13, 28324, 12, 339, 20353, 354, 4991, 14, 331, 2521, 1598, 414, 1776, 2104, 258, 4053, 289, 262, 16684, 971, 199, 1289, 41, 1206, 432, 1530, 12, 339, 414, 432, 3185, 281, 262, 7752, 13, 28324, 1198, 16851, 11582, 27, 543, 71, 1727, 893, 13, 28324, 12, 339, 20353, 354, 12, 414, 500, 332, 339, 683, 284, 1644, 27, 4301, 885, 4969, 12, 343, 289, 262, 15729, 281, 942, 590, 3270, 356, 333, 27, 538, 343, 289, 262, 2650, 25719, 281, 262, 6935, 12, 339, 524, 432, 693, 843, 356, 6485, 971, 199, 4765, 1027, 18658, 311, 14558, 284, 24487, 382, 83, 7203, 635, 10366, 14, 45769, 5937, 867, 281, 6064, 18417, 382, 83, 4853, 8800, 289, 11582, 14, 199, 1289, 13445, 1569, 9110, 25682, 24487, 12, 543, 42524, 2260, 333, 262, 1189, 281, 1959, 343, 14549, 893, 1, 1729, 840, 378, 1530, 402, 717, 23755, 745, 35297, 1928, 31, 1583, 5606, 867, 289, 5849, 9452, 1512, 289, 5606, 867, 907, 289, 1284, 281, 717, 258, 2384, 9110, 199, 41, 1037, 356, 3699, 332, 409, 262, 3896, 281, 31626, 382, 83, 3050, 357, 638, 579, 12, 1989, 12599, 1910, 597, 2466, 284, 8422, 327, 262, 19251, 4141, 284, 9552, 14, 42529, 382, 84, 2257, 2721, 3699, 12, 339, 693, 538, 1755, 445, 14, 199, 8314, 12599, 1910, 597, 1393, 284, 3544, 13, 15920, 28628, 289, 6246, 351, 12991, 4576, 281, 7989, 10373, 289, 1755, 1431, 283, 12622, 352, 474, 2888, 1587, 288, 867, 13713, 27, 258, 3282, 332, 34583, 284, 258, 3030, 5662, 726, 2421, 2684, 14, 507, 262, 2888, 1587, 12, 552, 1115, 284, 332, 1027, 3429, 3753, 258, 3878, 7992, 414, 3366, 409, 5565, 931, 263, 39111, 584, 14, 3218, 3849, 414, 4642, 402, 742, 262, 661, 284, 262, 2004, 538, 262, 829, 289, 1629, 710, 935, 867, 3526, 1794, 1804, 5662, 726, 262, 904, 683, 2421, 2063, 14, 199, 48691, 31626, 382, 83, 1798, 352, 4963, 10923, 382, 83, 619, 1745, 258, 23919, 1286, 538, 339, 2668, 332, 31626, 382, 83, 1672, 333, 262, 904, 311, 747, 1098, 976, 622, 10923, 382, 83, 14, 362, 888, 281, 11582, 382, 83, 2324, 7649, 513, 11335, 622, 332, 281, 262, 4995, 640, 538, 356, 311, 747, 1098, 11031, 14, 199, 31756, 2928, 382, 83, 1798, 877, 25728, 288, 11847, 258, 4875, 12, 258, 1450, 281, 6611, 14, 11582, 382, 83, 1798, 683, 747, 717, 7258, 9430, 14, 10379, 284, 867, 1011, 8056, 12, 8453, 69, 345, 2457, 3751, 918, 993, 6918, 288, 11847, 262, 1027, 4544, 281, 4541, 288, 1988, 13, 21077, 6611, 343, 680, 1378, 45156, 14, 507, 500, 867, 14999, 11582, 12842, 6611, 281, 1036, 288, 2296, 12, 262, 2379, 281, 500, 288, 11021, 281, 5076, 327, 942, 2379, 14, 199, 42524, 619, 432, 438, 504, 874, 3007, 2478, 343, 10923, 1206, 538, 907, 343, 351, 1043, 12901, 8316, 371, 12, 339, 6105, 432, 332, 11582, 31626, 14650, 4052, 284, 597, 15030, 281, 262, 1025, 289, 981, 12, 11240, 288, 262, 14145, 281, 9092, 14, 20663, 8724, 4898, 10499, 199, 3582, 19247, 34, 2796, 31871, 20678, 58, 396, 3355, 6817, 199, 15516, 26, 4107, 1642, 12, 3610, 199, 2918, 258, 4426, 32257, 12292, 2839, 284, 2764, 3596, 12, 845, 661, 2239, 568, 289, 4456, 258, 28777, 2534, 421, 2926, 359, 932, 579, 1345, 2882, 432, 914, 262, 6985, 12, 48298, 1345, 281, 957, 12, 538, 1345, 327, 500, 661, 12, 409, 500, 5531, 12, 409, 500, 1602, 14, 363, 4087, 1532, 1480, 27, 262, 9625, 10937, 14175, 7388, 281, 258, 7965, 6160, 288, 258, 6215, 4009, 8321, 1345, 2562, 409, 258, 38777, 32814, 284, 4760, 3449, 2362, 20284, 6715, 12, 4289, 281, 262, 1717, 3048, 327, 8724, 12, 414, 5763, 409, 262, 1136, 2367, 4242, 5681, 559, 1081, 7470, 333, 9190, 273, 6093, 14, 809, 2219, 262, 18105, 284, 6867, 12, 900, 513, 622, 637, 829, 281, 16241, 2253, 288, 1121, 24314, 1148, 281, 262, 4518, 902, 13, 3034, 4986, 281, 1345, 18857, 14, 507, 258, 2972, 13, 471, 2534, 409, 262, 5713, 12, 378, 288, 23991, 65, 312, 1977, 5792, 12, 3077, 281, 262, 1262, 13, 43559, 1448, 19880, 29745, 281, 16645, 31194, 5476, 262, 5213, 288, 5529, 30443, 37035, 281, 1345, 14, 6715, 1250, 1345, 577, 281, 262, 19880, 41894, 13620, 281, 4231, 258, 1159, 30959, 14, 1052, 354, 1180, 409, 735, 6028, 1508, 288, 3335, 288, 808, 13, 5577, 12, 1345, 311, 343, 5214, 343, 726, 536, 3061, 281, 981, 12, 1229, 2518, 288, 12221, 30547, 199, 461, 4533, 7093, 289, 39683, 352, 6082, 2209, 12, 590, 3567, 13813, 2182, 579, 735, 7093, 289, 310, 262, 2076, 281, 1345, 284, 474, 957, 559, 2570, 14, 4081, 4772, 2239, 12, 747, 6105, 12, 416, 262, 2492, 1606, 2745, 281, 300, 340, 37764, 289, 1345, 1556, 29394, 29306, 332, 1042, 5352, 349, 27898, 1914, 409, 32317, 289, 848, 3466, 327, 351, 5253, 13559, 3378, 5337, 14, 5457, 4354, 20814, 332, 653, 1394, 731, 9455, 2845, 438, 747, 650, 1910, 327, 262, 1472, 1880, 281, 5968, 26, 25354, 12, 5690, 12, 37942, 1625, 1345, 14, 4242, 827, 5352, 2403, 12968, 1345, 3570, 289, 258, 3620, 284, 5968, 6453, 14, 12102, 310, 15546, 280, 262, 955, 332, 2845, 1362, 1438, 1345, 262, 918, 493, 2238, 1206, 2882, 357, 1284, 493, 1206, 14, 1265, 3623, 3141, 289, 6968, 332, 1323, 262, 4058, 289, 1345, 5793, 4812, 357, 4832, 1394, 322, 325, 568, 333, 262, 6947, 12, 289, 1345, 352, 34452, 333, 262, 9991, 5263, 357, 14327, 3011, 284, 262, 14454, 12, 1817, 559, 957, 349, 6997, 568, 333, 1765, 2736, 14, 199, 461, 1661, 281, 19880, 461, 37840, 5307, 327, 24240, 16093, 2882, 488, 520, 634, 333, 262, 1389, 13, 37073, 1636, 327, 262, 1467, 6252, 2370, 2882, 288, 641, 1969, 13, 1925, 13, 10184, 6440, 327, 2074, 690, 24091, 2021, 25237, 311, 27196, 289, 262, 21901, 37867, 327, 1345, 559, 1040, 1436, 1741, 14, 1852, 540, 262, 2182, 900, 20284, 6715, 559, 5713, 2534, 27, 552, 3628, 3567, 660, 867, 957, 501, 1352, 4330, 12, 14009, 288, 1371, 2128, 635, 474, 689, 6608, 5355, 311, 2086, 2477, 14, 6715, 3361, 867, 332, 1106, 3156, 4529, 524, 438, 629, 1345, 2048, 12, 258, 2595, 2497, 281, 19880, 2463, 24799, 17491, 548, 16093, 412, 310, 5820, 742, 402, 258, 720, 590, 311, 8321, 500, 2156, 11480, 402, 5355, 284, 262, 1170, 13, 11025, 904, 14, 199, 1201, 311, 577, 281, 258, 2990, 7164, 3396, 349, 1952, 579, 1345, 14, 12102, 27629, 812, 831, 258, 47683, 13, 5032, 3276, 630, 705, 327, 474, 957, 289, 1345, 288, 3573, 332, 650, 4746, 5355, 311, 650, 3188, 289, 513, 4867, 30607, 14, 990, 13408, 21548, 579, 496, 14, 51, 14, 1005, 8058, 3053, 536, 1867, 284, 2018, 288, 4614, 12, 4932, 352, 262, 2421, 13, 3801, 13, 688, 1327, 6563, 289, 853, 2845, 643, 4373, 12, 848, 2401, 16265, 289, 929, 616, 474, 957, 327, 13743, 5494, 288, 1077, 13, 80, 4662, 5948, 2929, 281, 914, 5503, 602, 289, 29589, 761, 333, 474, 1011, 27, 1345, 3570, 8576, 421, 31, 77, 31, 5813, 14, 199, 12253, 20087, 579, 1345, 2770, 468, 289, 18203, 263, 352, 680, 6350, 2820, 579, 5968, 12, 2575, 3615, 12, 9172, 288, 1661, 14, 2479, 6940, 1345, 8601, 622, 5243, 31, 3963, 957, 962, 6883, 402, 33337, 409, 2435, 13136, 288, 3156, 4529, 31, 3963, 493, 6997, 1765, 635, 21426, 1345, 311, 16574, 352, 5127, 416, 20498, 559, 10046, 288, 432, 474, 1011, 31, 3013, 281, 656, 2160, 349, 1480, 5123, 289, 310, 8018, 402, 258, 2123, 2105, 281, 1019, 363, 1930, 3612, 258, 9909, 2154, 595, 1207, 262, 2758, 2018, 281, 1345, 1026, 438, 992, 289, 799, 289, 262, 7164, 14, 23752, 352, 1121, 19837, 284, 9204, 7231, 288, 7513, 22206, 12, 629, 2682, 438, 2580, 2238, 14060, 2882, 409, 1602, 3853, 258, 1670, 1480, 14060, 2882, 289, 4644, 258, 2980, 5360, 327, 1345, 14, 1022, 438, 4746, 262, 1789, 1293, 4146, 1508, 660, 288, 1829, 1345, 7652, 284, 2249, 12, 10909, 8952, 332, 412, 928, 680, 2255, 281, 641, 3903, 284, 2983, 1480, 14, 1022, 349, 6007, 12, 416, 351, 9204, 5148, 12, 289, 735, 4979, 1345, 311, 258, 18241, 332, 412, 310, 3287, 8913, 352, 635, 638, 349, 1480, 748, 536, 13324, 5469, 333, 262, 2758, 1831, 12, 288, 289, 735, 4979, 356, 311, 3069, 289, 660, 332, 1831, 7799, 284, 262, 753, 1274, 14, 199, 11641, 590, 1019, 1345, 12, 284, 2249, 288, 2983, 10831, 12, 349, 2751, 258, 11364, 1644, 332, 1345, 311, 1765, 513, 622, 258, 918, 327, 30216, 2845, 289, 648, 751, 8099, 27, 513, 622, 258, 918, 327, 418, 601, 1925, 2845, 289, 4430, 751, 7036, 27, 513, 622, 258, 2165, 41201, 494, 18241, 14, 8724, 12, 284, 474, 1644, 12, 311, 258, 3069, 577, 281, 12875, 2052, 288, 1326, 2882, 552, 976, 918, 332, 957, 1242, 2302, 12, 11687, 12, 19018, 12, 12621, 32757, 288, 5189, 309, 8301, 9758, 14, 199, 14662, 648, 1261, 3292, 629, 2182, 38979, 12, 1229, 2182, 579, 1345, 559, 16200, 12, 513, 23328, 1878, 26, 311, 638, 2081, 351, 9204, 357, 9547, 713, 327, 4518, 4529, 12, 1527, 12, 357, 327, 262, 1530, 893, 288, 9822, 5400, 332, 1745, 289, 6246, 564, 992, 720, 559, 1345, 31, 1057, 1920, 1402, 656, 288, 536, 2182, 840, 734, 468, 1235, 735, 1285, 310, 3188, 719, 957, 1345, 1098, 14, 1844, 524, 354, 853, 4696, 31, 199, 26561, 412, 310, 4073, 333, 635, 5506, 15680, 5244, 12, 717, 343, 1400, 357, 31254, 12, 311, 4073, 643, 351, 570, 19703, 1036, 14, 10508, 268, 311, 262, 4956, 488, 311, 4331, 416, 258, 533, 559, 27948, 994, 2575, 488, 10553, 11113, 14, 617, 412, 310, 5506, 352, 4696, 357, 11037, 635, 2872, 311, 4696, 2579, 357, 311, 7295, 262, 11037, 2743, 14, 654, 412, 4151, 994, 29487, 2575, 14, 1072, 1208, 635, 777, 661, 438, 2575, 1323, 1059, 258, 29265, 635, 552, 6610, 311, 2065, 5506, 12, 357, 831, 2152, 3693, 590, 5752, 288, 2785, 16814, 14, 199, 1406, 412, 1438, 310, 8745, 402, 1567, 690, 19631, 12, 26887, 12, 39364, 12, 6358, 258, 13279, 8030, 12, 10094, 15619, 12, 14822, 288, 13686, 14, 6019, 8309, 676, 13343, 333, 2612, 428, 1827, 17794, 10487, 333, 11526, 281, 653, 16762, 885, 32019, 288, 432, 327, 12041, 14, 199, 11701, 262, 8854, 281, 1774, 288, 13139, 284, 262, 8854, 281, 262, 3542, 778, 288, 735, 524, 354, 853, 31, 14854, 23906, 1, 1052, 354, 5192, 2421, 9545, 289, 1010, 552, 354, 693, 660, 2595, 445, 311, 12, 538 ]

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

[ 354, 438, 289, 693, 258, 1670, 579, 3173, 21509, 907, 719, 354, 412, 1438, 1442, 313, 500, 281, 262, 4531, 2864, 14, 199, 3582, 26, 16351, 16506, 199, 13250, 1143, 12, 3534, 199, 33, 3173, 10314, 311, 351, 5914, 831, 354, 288, 262, 7177, 281, 258, 1448, 488, 13052, 354, 1497, 1627, 2074, 488, 710, 5197, 12549, 351, 33391, 694, 9181, 1409, 14, 362, 3173, 10314, 1770, 5840, 2182, 717, 343, 26, 199, 461, 3906, 281, 262, 3173, 288, 262, 21509, 12643, 12, 719, 726, 12, 349, 2672, 5476, 284, 262, 21509, 5914, 12, 538, 1770, 356, 559, 3241, 8335, 14, 199, 1683, 354, 1010, 262, 10123, 2075, 288, 354, 3343, 1261, 28024, 487, 1600, 12, 2576, 568, 45631, 281, 6637, 288, 7389, 13, 13137, 14854, 488, 2608, 258, 5234, 9630, 14, 199, 13137, 6720, 368, 2591, 7790, 26, 199, 2172, 354, 4456, 262, 7826, 625, 5514, 3173, 2, 357, 625, 5514, 3173, 10314, 1634, 625, 5514, 2, 311, 11427, 289, 487, 2379, 288, 29312, 9854, 5514, 343, 284, 4541, 2, 357, 625, 5514, 343, 284, 1625, 4238, 16694, 507, 536, 1798, 12, 258, 1625, 3173, 10314, 3411, 354, 513, 2379, 622, 258, 23521, 10314, 14, 1226, 412, 1770, 6056, 12, 12917, 12, 288, 18871, 3566, 1625, 3173, 1323, 9059, 258, 12185, 357, 13949, 8289, 416, 262, 10128, 288, 41789, 14, 507, 689, 1948, 625, 5514, 3173, 2, 3632, 1438, 1555, 354, 3486, 12, 538, 332, 559, 432, 1776, 262, 1617, 797, 284, 445, 3962, 262, 2085, 1625, 311, 1697, 747, 22607, 24056, 579, 262, 3906, 281, 262, 3173, 14, 368, 2591, 7790, 3173, 9399, 513, 9307, 288, 6285, 333, 487, 3542, 8289, 289, 6056, 12, 12917, 12, 288, 16377, 262, 1448, 14, 199, 13137, 12, 7236, 13, 9026, 357, 426, 30669, 31, 199, 815, 6742, 7164, 12, 638, 559, 432, 992, 2901, 831, 625, 5514, 3173, 1634, 625, 14795, 2138, 3173, 1634, 288, 625, 38, 30669, 363, 13137, 288, 7236, 13, 9026, 14854, 34586, 507, 536, 1798, 12, 354, 4911, 4456, 656, 2519, 738, 32046, 12, 288, 262, 24773, 281, 1625, 3173, 288, 262, 14255, 281, 1558, 13, 13579, 3173, 3315, 352, 552, 1382, 333, 689, 2160, 14, 1444, 12, 262, 4758, 4726, 281, 1625, 3173, 14531, 6956, 416, 262, 4758, 4726, 281, 1558, 13, 13579, 3173, 12, 288, 262, 30197, 6350, 942, 10123, 8614, 343, 808, 14, 1072, 258, 1707, 6149, 281, 262, 2901, 12, 1010, 14760, 288, 4236, 17806, 14, 1072, 258, 2505, 4414, 416, 262, 625, 5514, 3173, 2, 1878, 12, 1010, 4595, 7236, 11088, 4934, 270, 262, 8626, 281, 6637, 14854, 14, 1072, 262, 625, 14795, 13, 13579, 2, 5148, 12, 1010, 4595, 6637, 14854, 311, 15561, 14980, 14691, 14, 199, 11820, 7106, 288, 2468, 2509, 915, 14, 199, 3487, 2519, 2757, 289, 885, 6759, 281, 1625, 12, 34353, 21509, 14, 328, 2468, 2509, 915, 10314, 2919, 354, 500, 262, 23206, 281, 258, 1625, 3173, 10314, 12, 538, 7631, 552, 16595, 14, 4507, 258, 2468, 2509, 915, 10314, 12, 354, 438, 289, 4234, 726, 14094, 694, 262, 1027, 2519, 343, 262, 2676, 3173, 14, 507, 888, 12, 445, 6814, 2987, 288, 10128, 590, 1321, 289, 7630, 1625, 3173, 288, 911, 848, 474, 10403, 3822, 23521, 14, 507, 2253, 12, 2331, 500, 1625, 288, 1558, 13, 13579, 3173, 311, 551, 2468, 2509, 915, 279, 14, 1444, 12, 16550, 354, 412, 4234, 625, 5514, 3173, 2, 332, 3679, 1438, 2468, 2509, 915, 279, 14, 1072, 1208, 12, 719, 354, 2103, 3173, 288, 4331, 356, 694, 258, 625, 15307, 7106, 2, 10314, 12, 356, 710, 17170, 343, 1625, 3173, 12, 538, 356, 3679, 1438, 2468, 2509, 915, 14, 507, 888, 12, 635, 354, 4234, 1765, 643, 262, 1262, 7106, 12, 354, 1803, 616, 500, 2468, 44740, 288, 2379, 281, 9303, 14, 199, 19116, 1476, 288, 1608, 30622, 14, 199, 3487, 2519, 1362, 1438, 2081, 2757, 289, 21509, 12, 288, 493, 3343, 14866, 284, 1339, 281, 262, 4414, 281, 1625, 3173, 1862, 14, 5168, 30622, 5145, 289, 3173, 363, 14420, 1078, 16204, 409, 3367, 717, 343, 31652, 2581, 14, 1236, 9, 332, 354, 412, 6059, 288, 3391, 1323, 9059, 14, 1444, 12, 354, 1362, 1438, 438, 262, 1025, 289, 1644, 262, 2138, 3518, 12, 288, 354, 619, 432, 438, 262, 1025, 289, 6056, 288, 18871, 3566, 262, 3173, 14, 507, 536, 1798, 12, 1608, 30622, 311, 23521, 3173, 14, 16045, 1476, 311, 907, 513, 23462, 14, 507, 888, 12, 2785, 1476, 311, 5251, 3173, 14, 1226, 412, 670, 356, 327, 258, 3146, 1673, 281, 650, 363, 14420, 2046, 357, 3678, 1741, 9, 288, 911, 354, 3343, 3478, 289, 2242, 289, 2832, 1059, 356, 14, 199, 17471, 19208, 12960, 13593, 14324, 363, 25305, 6476, 595, 199, 2172, 354, 10360, 3173, 3553, 12, 3012, 416, 258, 28043, 357, 37895, 12, 357, 3012, 416, 262, 28043, 559, 4449, 2158, 12, 354, 1770, 438, 289, 4968, 402, 15038, 258, 4011, 332, 354, 2613, 262, 21509, 2519, 14, 654, 625, 18721, 13, 8518, 2, 5914, 332, 747, 552, 2421, 12017, 311, 3654, 1257, 343, 258, 6779, 6476, 14, 1052, 354, 20439, 258, 1203, 6326, 281, 3173, 352, 258, 2491, 12, 288, 354, 929, 258, 3972, 289, 10214, 262, 5914, 12, 332, 3972, 1770, 25863, 357, 22952, 19820, 262, 6779, 6476, 14, 199, 5008, 1488, 20427, 281, 23521, 3173, 2967, 629, 1643, 281, 11323, 12274, 288, 4520, 21509, 6087, 14, 362, 2519, 4214, 4301, 12, 538, 719, 354, 1478, 1927, 3173, 289, 17170, 12, 262, 2559, 284, 2519, 281, 1555, 288, 15780, 349, 1677, 14, 3918, 12, 432, 13, 1955, 13, 37557, 2672, 17170, 327, 356, 352, 909, 1078, 4417, 17458, 14, 199, 3792, 281, 262, 2559, 281, 4520, 21509, 1398, 26, 199, 31900, 1555, 14, 1023, 352, 689, 2096, 12, 3173, 3253, 1098, 635, 354, 4319, 513, 281, 356, 14, 199, 37, 560, 281, 9689, 14, 8169, 4520, 23906, 12, 354, 1770, 438, 289, 3740, 258, 4106, 13216, 3518, 363, 9270, 1257, 343, 258, 1319, 1931, 357, 10314, 1931, 9, 327, 963, 6865, 6056, 281, 262, 1448, 14, 1775, 262, 536, 1158, 12, 4520, 23906, 1485, 354, 352, 258, 2123, 12, 10649, 13, 3685, 13216, 3518, 12, 488, 2006, 356, 992, 4176, 289, 1037, 635, 354, 713, 289, 5559, 26559, 262, 3173, 14, 199, 37, 295, 1140, 10114, 281, 23906, 14, 20789, 3744, 281, 660, 748, 23906, 354, 1011, 12, 288, 660, 748, 9653, 354, 5192, 2260, 6865, 12, 311, 258, 30726, 12, 1788, 3905, 14, 2855, 4520, 21509, 2687, 1485, 351, 2477, 1971, 488, 311, 7906, 8198, 635, 354, 5959, 357, 17455, 258, 6056, 281, 332, 2491, 559, 3173, 14, 1295, 5923, 412, 551, 14393, 21509, 1853, 2973, 10129, 1307, 487, 10649, 14, 199, 2358, 1352, 513, 579, 4520, 21509, 416, 258, 1501, 28043, 12, 2576, 568, 629, 281, 262, 2098, 2075, 26, 199, 49, 535, 1397, 432, 13, 1955, 13, 37557, 288, 10569, 412, 3524, 16841, 4520, 23906, 327, 9611, 2096, 752, 13831, 26457, 80, 14, 1072, 513, 1020, 12, 2576, 568, 680, 5316, 289, 262, 9611, 14854, 4220, 316, 4284, 12, 288, 262, 9611, 14854, 4220, 316, 4284, 25402, 14, 1072, 1937, 1020, 579, 262, 4520, 21509, 281, 9611, 3173, 12, 935, 11081, 12960, 13593, 19385, 14, 199, 1683, 354, 853, 9611, 3173, 416, 13831, 26457, 80, 357, 536, 3173, 41789, 590, 648, 352, 432, 13, 1955, 13, 37557, 12, 354, 619, 713, 289, 647, 289, 262, 300, 17032, 4449, 2158, 289, 12366, 487, 11081, 10314, 11013, 14, 1072, 513, 1020, 12, 2576, 568, 262, 13831, 26457, 80, 4220, 316, 3140, 46367, 559, 6900, 289, 262, 9611, 300, 17032, 4449, 12327, 14, 199, 26209, 2576, 13831, 26457, 80, 13476, 753, 289, 935, 719, 638, 559, 258, 4520, 21509, 18264, 1448, 327, 262, 3173, 354, 3343, 4721, 284, 14, 1052, 13831, 26457, 80, 2816, 1438, 2967, 332, 1319, 357, 719, 354, 713, 513, 9653, 622, 354, 412, 1037, 409, 13831, 26457, 80, 12, 3177, 327, 625, 24571, 21509, 432, 13, 1955, 13, 37557, 3173, 2, 357, 914, 625, 1728, 13, 1955, 13, 37557, 3173, 1315, 1072, 1208, 12, 635, 384, 438, 351, 13752, 281, 21959, 2096, 12, 34923, 288, 12649, 432, 13, 1955, 13, 37557, 412, 5959, 1604, 1313, 2096, 357, 552, 6056, 281, 12289, 33891, 832, 752, 13831, 26457, 80, 14, 1052, 384, 3343, 568, 281, 5407, 12, 357, 354, 5192, 738, 616, 487, 4554, 21959, 18264, 12, 354, 412, 551, 2576, 13831, 26457, 80, 559, 1851, 21959, 18264, 1448, 288, 551, 21959, 16726, 327, 7389, 37557, 327, 536, 36950, 1594, 289, 432, 13, 1955, 13, 37557, 14, 1072, 513, 3173, 13, 43790, 5299, 12, 935, 328, 19801, 6900, 289, 5593, 585, 279, 14854, 16099, 14, 199, 31322, 2091, 2744, 289, 262, 4043, 288, 21509, 4143, 635, 354, 10360, 6575, 13, 2410, 3173, 14, 1226, 1285, 713, 777, 885, 1947, 281, 10314, 797, 552, 327, 262, 6575, 3173, 2345, 12, 288, 258, 986, 281, 23906, 327, 500, 262, 625, 1204, 1463, 2, 17981, 262, 3173, 14, 13364, 333, 262, 28043, 288, 262, 21509, 8889, 12, 625, 1204, 721, 2, 412, 2757, 2113, 289, 262, 1045, 3693, 2238, 363, 1955, 1208, 12, 5425, 12, 21783, 12, 8758, 12, 288, 4441, 3256, 590, 2701, 262, 3173, 284, 2028, 9, 357, 474, 8281, 3266, 363, 1955, 1208, 12, 24061, 12, 17294, 5722, 12, 18976, 12, 15444, 1759, 12, 2589, 8140, 998, 4911, 1705, 333, 9611, 6575, 2096, 12, 538, 1795, 2160, 412, 9117, 352, 536, 6575, 3419, 14, 199, 6786, 262, 829, 12, 9611, 520, 4331, 5365, 281, 6575, 13, 2410, 3419, 12, 288, 262, 21509, 2519, 349, 5235, 885, 327, 963, 552, 14, 16335, 12, 638, 349, 1172, 10314, 1947, 288, 21509, 4118, 1853, 885, 2096, 14, 507, 536, 1798, 12, 1106, 258, 19208, 38892, 363, 4924, 721, 6919, 17806, 9, 327, 7725, 17000, 311, 4457, 416, 258, 19208, 38892, 327, 16045, 14706, 17000, 12, 262, 6350, 2519, 288, 2379, 349, 909, 1795, 14, 362, 13831, 26457, 80, 1319, 4739, 327, 9611, 3173, 524, 258, 1040, 2422, 281, 9892, 262, 3615, 831, 2096, 12, 564, 384, 4911, 1705, 333, 262, 1172, 18100, 284, 445, 2154, 14, 199, 18670, 12, 9611, 1092, 13052, 354, 10314, 258, 2123, 6575, 3216, 284, 513, 622, 552, 918, 12, 4634, 333, 262, 1812, 281, 487, 10649, 14, 654, 2919, 354, 262, 9520, 289, 3559, 262, 23906, 332, 1389, 2984, 487, 10649, 559, 6811, 3839, 288, 8039, 1555, 354, 262, 1875, 1673, 281, 2360, 14, 1072, 1208, 12, 327, 7725, 17000, 288, 536, 2096, 354, 412, 10360, 23906, 333, 258, 542, 13, 15750, 3397, 363, 1955, 1208, 12, 19208, 38892, 83, 9, 357, 542, 13, 19685, 569, 3397, 363, 1955, 1208, 12, 29402, 38892, 83, 595, 199, 461, 10314, 2262, 289, 3391, 288, 1648, 689, 6575, 3419, 1770, 2318, 15908, 969, 352, 262, 3173, 2345, 14, 1852, 354, 412, 3391, 288, 1648, 689, 3419, 625, 471, 281, 262, 4011, 1634, 343, 902, 343, 354, 438, 262, 1025, 1127, 281, 7761, 23906, 363, 3329, 262, 3178, 2075, 327, 513, 333, 332, 595, 1444, 12, 635, 354, 3343, 4039, 1627, 6575, 2096, 333, 258, 2435, 352, 2973, 18820, 12, 354, 619, 713, 289, 853, 3027, 23906, 14, 1072, 1208, 12, 719, 354, 1648, 7725, 17000, 3610, 5256, 31642, 7111, 333, 258, 6575, 352, 777, 18820, 12, 354, 713, 258, 4106, 10314, 327, 963, 14711, 14, 15096, 17000, 3610, 1804, 262, 1027, 918, 14, 654, 1643, 281, 10314, 311, 4493, 289, 343, 258, 14711, 10314, 14, 13524, 354, 1362, 1438, 713, 7761, 23906, 327, 726, 3216, 332, 559, 12242, 445, 918, 14, 199, 4924, 721, 12960, 5183, 327, 17893, 22159, 199, 4722, 9611, 2096, 12, 1229, 7725, 17000, 4958, 288, 7725, 17000, 3610, 12, 1885, 7761, 1621, 23906, 327, 500, 10556, 465, 4411, 3693, 363, 1955, 1208, 12, 5425, 12, 21783, 12, 9463, 12, 2589, 8140, 1775, 262, 536, 1158, 12, 15096, 17000, 3610, 288, 536, 2096, 1362, 1438, 1885, 726, 7761, 23906, 14, 3815, 262, 1319, 6149, 409, 9638, 56, 4188, 719, 354, 3343, 2889, 327, 262, 4062, 579, 21509, 258, 1501, 3216, 14, 199, 36476, 38892, 83, 46772, 262, 5070, 26, 26164, 7746, 750, 11055, 714, 37180, 8349, 199, 28691, 2701, 10035, 2213, 10345, 289, 1794, 19408, 1823, 17020, 4394, 7, 199, 13208, 277, 1299, 412, 1426, 513, 20242, 288, 738, 343, 258, 11550, 14283, 819, 4221, 14, 199, 3582, 407, 624, 268, 35252, 608, 395, 72, 471, 199, 22861, 2301, 284, 26164, 5075, 2771, 199, 9537, 416, 262 ]

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

[ 26164, 5522, 10739, 73, 2604, 281, 7641, 288, 16003, 2754, 438, 25956, 258, 714, 1160, 281, 8464, 13, 399, 77, 2089, 14302, 327, 37180, 332, 5073, 262, 21564, 2339, 488, 3350, 3590, 635, 23175, 12, 43301, 819, 288, 3230, 819, 349, 24890, 14, 199, 461, 3015, 38170, 12, 2145, 13, 25299, 8349, 412, 2865, 310, 9641, 643, 1817, 559, 4137, 2003, 778, 12, 262, 2163, 1527, 12, 288, 840, 734, 289, 4021, 2130, 37180, 5027, 3253, 14, 4081, 3961, 1764, 284, 262, 1507, 2664, 281, 262, 3606, 281, 12730, 12976, 14, 199, 50, 31842, 13, 399, 77, 2089, 363, 5087, 9, 37180, 2701, 837, 2213, 289, 2770, 20357, 819, 752, 262, 22431, 281, 258, 8349, 14, 2561, 819, 6037, 1379, 752, 262, 22431, 12, 7392, 5070, 12138, 12, 3290, 288, 536, 25955, 2252, 14, 4308, 650, 12, 656, 5068, 1242, 616, 333, 262, 8349, 559, 2145, 12, 3087, 289, 21564, 2339, 288, 8349, 2691, 14, 654, 20548, 288, 41435, 1598, 3312, 1842, 1310, 7508, 333, 262, 17983, 778, 288, 44336, 11733, 24998, 288, 8349, 8826, 14, 199, 461, 714, 26164, 8349, 559, 4121, 2145, 23568, 288, 8090, 1228, 356, 289, 2340, 717, 26270, 14, 199, 2, 19399, 28030, 837, 819, 27430, 12, 262, 714, 8349, 551, 2471, 837, 16587, 4348, 288, 902, 13, 3034, 7688, 1634, 954, 22404, 396, 14, 8525, 12, 258, 26164, 7641, 7519, 8111, 288, 262, 1019, 559, 1009, 1796, 14, 625, 1895, 973, 770, 262, 8349, 2145, 1026, 432, 1885, 258, 902, 4635, 650, 12, 837, 4635, 2512, 357, 262, 670, 281, 258, 10999, 9995, 14, 362, 3455, 13, 1394, 2699, 3381, 12, 488, 412, 1756, 8349, 981, 288, 5376, 10388, 3253, 12, 311, 7851, 289, 3937, 4137, 14302, 1315, 199, 461, 714, 8349, 414, 24679, 752, 258, 1170, 13, 10184, 948, 14, 3330, 12, 2163, 24679, 258, 3720, 25562, 5237, 13, 20113, 14518, 8349, 1059, 6225, 5709, 17477, 12222, 1286, 14, 9394, 12, 493, 13140, 262, 3720, 25562, 2145, 352, 10035, 2213, 10345, 289, 1794, 3055, 3367, 333, 262, 2145, 14, 7669, 12, 656, 3055, 3367, 540, 738, 289, 17584, 258, 23578, 12222, 1286, 4635, 352, 258, 989, 8291, 3294, 289, 1794, 258, 12222, 625, 17020, 4394, 2, 333, 262, 3720, 25562, 2145, 14, 654, 23578, 12222, 1286, 311, 4085, 568, 327, 258, 1781, 1510, 281, 650, 409, 258, 1781, 2512, 284, 1478, 289, 1422, 262, 7622, 4394, 10886, 288, 23568, 14, 199, 2, 815, 262, 1435, 829, 12, 2145, 10345, 1579, 840, 742, 310, 10504, 284, 258, 10999, 9995, 1634, 954, 37704, 342, 21735, 12, 26164, 4825, 281, 2443, 288, 7549, 12130, 4731, 288, 258, 8538, 1796, 281, 262, 1019, 14, 625, 1406, 6735, 1438, 4867, 327, 1203, 13, 6750, 41457, 896, 4015, 281, 6848, 281, 14302, 840, 432, 310, 24679, 284, 258, 10999, 9995, 14, 617, 559, 1480, 11733, 14, 1207, 1129, 12, 352, 262, 7974, 281, 10035, 2213, 10345, 12, 384, 1362, 1438, 907, 713, 289, 17584, 262, 4635, 21697, 14, 617, 559, 343, 2266, 343, 15414, 262, 2145, 352, 10345, 12, 288, 356, 412, 310, 2086, 327, 2331, 726, 2145, 1315, 199, 815, 445, 714, 8349, 12, 262, 12222, 11443, 281, 262, 13085, 6640, 7622, 4394, 349, 284, 3652, 5160, 14, 362, 11443, 349, 21697, 29077, 289, 262, 2145, 288, 349, 2877, 513, 9484, 664, 6500, 12, 2637, 289, 8368, 20200, 12222, 9933, 14, 3957, 1681, 551, 7631, 289, 262, 7622, 4394, 559, 2665, 12, 1697, 356, 4095, 1788, 327, 3290, 288, 536, 47203, 2541, 289, 18285, 289, 262, 2145, 281, 262, 8349, 14, 199, 2, 1683, 354, 5192, 2421, 48379, 17087, 12, 354, 4911, 693, 332, 2898, 36143, 1449, 1047, 288, 6866, 352, 262, 1507, 357, 819, 1681, 1634, 21735, 954, 14, 625, 3175, 7436, 332, 354, 438, 445, 8981, 2499, 352, 5343, 2665, 14, 19640, 357, 3290, 713, 289, 310, 1533, 289, 18285, 289, 2973, 8725, 333, 262, 8349, 289, 8384, 2238, 289, 262, 2145, 1512, 258, 3905, 488, 311, 4095, 1788, 289, 10940, 1690, 289, 262, 3652, 5160, 281, 262, 7622, 4394, 14, 362, 12222, 11443, 1986, 288, 3549, 262, 8349, 2145, 15091, 1315, 199, 5443, 3845, 284, 7090, 28977, 311, 262, 2145, 4884, 281, 262, 8349, 14, 21735, 559, 1935, 311, 1533, 289, 3559, 262, 8090, 281, 262, 7622, 4394, 289, 18695, 262, 7243, 2145, 4884, 12, 10933, 262, 8349, 289, 32514, 6037, 281, 351, 6086, 4884, 14, 199, 461, 1935, 559, 1863, 1969, 311, 289, 3990, 262, 8349, 10557, 643, 258, 992, 2990, 12, 5343, 948, 288, 289, 17754, 262, 714, 8349, 559, 2878, 327, 885, 819, 2705, 14, 199, 2, 1633, 1321, 289, 310, 1533, 289, 5737, 1166, 288, 1794, 258, 8349, 5670, 778, 327, 885, 819, 2705, 332, 438, 885, 41435, 1598, 21696, 1634, 8525, 954, 14, 625, 3589, 717, 1976, 12, 552, 412, 17754, 262, 8349, 2145, 3786, 352, 885, 12222, 7622, 6570, 289, 6506, 357, 1596, 262, 9999, 281, 8349, 41435, 1598, 288, 20548, 14, 199, 2, 461, 1555, 281, 37180, 501, 2851, 5376, 635, 384, 2130, 262, 1555, 281, 4830, 1534, 3276, 327, 8349, 7331, 8086, 343, 808, 343, 948, 4709, 1534, 1955, 8349, 8826, 5023, 4296, 277, 1299, 412, 1426, 513, 20242, 288, 738, 343, 258, 11550, 14283, 819, 4221, 1315, 199, 8079, 784, 559, 1935, 12, 284, 7049, 352, 262, 26164, 3957, 5226, 2599, 363, 45955, 5684, 50, 9, 2964, 12, 311, 3601, 7295, 568, 1781, 1940, 289, 1077, 262, 2878, 281, 262, 714, 8349, 559, 41435, 1598, 3786, 694, 2105, 1806, 14, 199, 2, 1633, 648, 3012, 352, 2516, 288, 819, 6000, 333, 3497, 332, 384, 3343, 2700, 1469, 284, 819, 1774, 1634, 21735, 954, 14, 625, 461, 2005, 327, 445, 311, 2266, 26, 1052, 384, 349, 289, 15647, 262, 3971, 281, 1976, 1774, 416, 262, 6264, 289, 262, 1472, 904, 12, 843, 942, 4351, 349, 2286, 12, 384, 438, 289, 848, 2049, 384, 2193, 262, 1472, 2160, 14, 654, 551, 2336, 680, 1005, 352, 258, 11991, 3563, 289, 648, 352, 2516, 12, 1453, 288, 1666, 6000, 1315, 199, 33, 2021, 3561, 258, 13746, 5316, 289, 262, 714, 8349, 551, 5430, 284, 262, 3606, 281, 5588, 30997, 2754, 1467, 1630, 14, 199, 15516, 26, 12269, 12, 3302, 21814, 12, 3134, 6126, 3988, 327, 9304, 199, 461, 12445, 327, 11952, 283, 25753, 1994, 199, 24004, 559, 6590, 333, 262, 14463, 199, 1925, 4243, 17222, 12586, 199, 15760, 258, 20514, 12, 339, 749, 1776, 2889, 327, 351, 14272, 14, 8630, 2273, 12, 339, 891, 552, 14, 199, 41, 1910, 648, 289, 647, 333, 258, 2266, 5893, 12, 538, 356, 4465, 568, 289, 310, 992, 513, 14, 199, 6737, 12, 339, 13004, 258, 11677, 13, 45933, 4279, 14, 3708, 12, 339, 2239, 2680, 289, 2680, 352, 8346, 8413, 12, 6347, 289, 853, 1531, 550, 14, 339, 907, 23623, 3523, 11663, 18035, 1018, 3907, 643, 258, 24316, 31106, 14, 199, 8266, 1206, 339, 647, 31, 26684, 262, 14454, 12, 281, 1769, 14, 4595, 31, 339, 4415, 289, 5843, 629, 10582, 3292, 14, 199, 5935, 13272, 414, 1040, 332, 1115, 14, 339, 414, 1533, 289, 22573, 6066, 281, 885, 4970, 281, 3292, 11379, 333, 262, 2013, 14, 2008, 540, 3292, 339, 683, 1908, 2063, 14, 2008, 540, 1261, 2424, 12, 1106, 1582, 540, 4367, 289, 474, 13298, 5569, 14, 199, 10983, 354, 2421, 24214, 327, 3292, 31, 339, 4992, 719, 354, 693, 262, 3936, 281, 2156, 281, 262, 3011, 332, 2016, 284, 487, 7637, 31, 339, 682, 262, 3005, 311, 747, 14, 199, 11525, 12, 550, 6928, 14, 1852, 339, 683, 2156, 281, 262, 3292, 9060, 14, 339, 683, 891, 262, 3292, 416, 351, 13681, 12, 258, 42965, 12, 258, 5947, 8844, 2942, 288, 513, 14, 199, 4894, 12, 339, 16701, 354, 289, 848, 445, 5893, 14, 199, 46, 5038, 1137, 352, 1189, 89, 10261, 199, 46, 5038, 1137, 352, 1189, 89, 10261, 199, 8433, 1029, 13872, 199, 13445, 327, 15031, 1386, 2442, 199, 19, 4457, 5854, 83, 199, 8433, 1029, 9480, 199, 1201, 311, 487, 3905, 1994, 199, 32250, 289, 262, 2634, 12, 3217, 14454, 363, 260, 262, 17559, 9, 289, 1037, 656, 854, 3292, 14, 12019, 568, 262, 2763, 288, 1116, 356, 352, 354, 14, 5568, 2049, 354, 412, 6766, 487, 5573, 352, 8062, 14, 24771, 5854, 13, 43790, 1, 199, 43108, 5340, 80, 3604, 1267, 363, 1816, 26, 2025, 342, 18394, 38587, 11225, 288, 258, 1060, 14, 2530, 354, 2658, 19684, 6890, 1386, 18553, 12, 4096, 11694, 5340, 80, 12, 4237, 402, 262, 20929, 2117, 21289, 14, 43785, 311, 409, 23616, 27, 1060, 5865, 409, 1662, 26, 2025, 14, 24677, 9651, 6254, 12, 4610, 423, 84, 14, 2500, 13947, 262, 5117, 11524, 26, 41192, 15, 46459, 13, 16, 40433, 14, 199, 4087, 2210, 12922, 3604, 1267, 1386, 1143, 363, 18, 11400, 18394, 2300, 1404, 258, 418, 1404, 289, 1592, 1031, 10103, 89, 327, 5392, 1138, 14, 23277, 289, 3909, 288, 1777, 12446, 8958, 14, 13308, 487, 1011, 13367, 14, 12162, 673, 42674, 1592, 1031, 10103, 89, 12, 6108, 512, 14, 3164, 66, 14, 338, 13101, 9798, 41192, 15, 41140, 13, 2119, 5834, 14, 199, 52, 4028, 312, 1584, 11952, 327, 5702, 312, 961, 14, 3125, 1662, 363, 1249, 26, 2025, 342, 13, 78, 2275, 9, 7793, 13, 289, 2156, 13, 3322, 13, 10167, 363, 420, 474, 2278, 9, 25561, 643, 262, 14454, 289, 4456, 13298, 3909, 12, 5843, 3292, 288, 848, 258, 8687, 14, 21306, 258, 8029, 11225, 289, 3261, 271, 15, 22604, 33808, 11502, 2707, 559, 35016, 3522, 12, 33855, 17335, 14, 1828, 19, 421, 83, 86, 80, 26, 10850, 15, 23, 4241, 13, 33387, 24, 14, 199, 4752, 708, 89, 18564, 284, 262, 21016, 312, 961, 14, 3125, 14, 1662, 363, 1249, 26, 2025, 13, 78, 2275, 18394, 40, 607, 352, 258, 421, 8254, 289, 258, 17607, 284, 262, 14454, 14, 23277, 289, 13298, 3909, 288, 3060, 2938, 11368, 33808, 14, 48119, 3292, 289, 848, 258, 8687, 14, 21306, 258, 8029, 11225, 14, 13015, 35016, 3522, 12, 33855, 17335, 26, 41192, 15, 21, 4241, 13, 8691, 3706, 14, 199, 12420, 434, 45779, 10256, 14, 3125, 14, 2277, 363, 20, 13, 20, 26, 4381, 11400, 18394, 25101, 2006, 262, 904, 647, 4678, 14, 1852, 1777, 12, 6360, 289, 3909, 288, 1345, 7870, 6580, 14, 12162, 428, 13, 20, 14, 24677, 4382, 559, 4485, 12, 16457, 409, 423, 8224, 14, 1828, 24, 14, 1815, 27, 421, 83, 86, 80, 26, 41192, 15, 41140, 13, 8001, 6049, 14, 199, 24004, 46983, 15398, 1341, 3125, 14, 1529, 13, 20129, 487, 7176, 2229, 6692, 568, 281, 9139, 357, 333, 2021, 289, 4537, 27807, 14, 6893, 6759, 349, 673, 13, 21, 12, 1028, 13, 24, 288, 1267, 13, 1694, 829, 14, 9585, 24107, 4537, 2229, 2957, 357, 18295, 14, 1778, 1003, 2735, 5779, 14, 6995, 487, 28973, 289, 5682, 12834, 2964, 12, 6108, 16999, 32516, 2964, 26, 41192, 15, 21, 7187, 13, 7760, 4381, 14, 199, 52, 4028, 312, 1584, 853, 284, 27211, 352, 10500, 5702, 7280, 14, 3125, 1791, 363, 1249, 13, 1249, 26, 2025, 342, 9, 199, 52, 4028, 289, 775, 363, 18, 13, 19, 271, 15, 43521, 9, 1352, 2229, 402, 5711, 12, 4494, 262, 748, 885, 199, 8995, 805, 9886, 288, 2423, 284, 262, 904, 1161, 468, 14, 11502, 8236, 9176, 17011, 557, 43556, 12, 199, 39427, 14595, 26, 10850, 15, 23, 4241, 13, 33387, 24, 14, 199, 92, 12530, 2979, 2760, 199, 31386, 18559, 11051, 2979, 199, 15000, 1182, 13, 2190, 12, 5919, 199, 4879, 5117, 6464, 199, 92, 6493, 9778, 2760, 199, 92, 8551, 289, 12733, 2760, 461, 9114, 288, 4835, 73, 28071, 15359, 363, 17004, 5625, 9, 9067, 311, 3478, 289, 4781, 641, 366, 12, 1108, 9239, 16840, 445, 3389, 14, 199, 461, 14805, 5625, 9067, 311, 258, 3670, 3672, 831, 5004, 288, 262, 2959, 5121, 7168, 14, 617, 520, 15231, 327, 4235, 552, 13, 16367, 281, 500, 16840, 11374, 352, 21805, 18722, 284, 262, 1473, 281, 15065, 14, 199, 2, 8424, 14805, 5625, 414, 6700, 12, 742, 1791, 2214, 14358, 26636, 683, 634, 3733, 402, 1809, 45634, 14, 9744, 333, 332, 1805, 12, 590, 840, 438, 9103, 14805, 5625, 710, 4781, 513, 622, 3678, 1602, 332, 1127, 12, 288, 284, 742, 6252, 829, 1634, 954, 2194, 14, 16351, 589, 14, 33825, 14, 809, 311, 7519, 1349, 7523, 327, 5004, 559, 11421, 2042, 258, 7986, 1448, 409, 262, 6408, 559, 30450, 5121, 17239, 2964, 12, 4198, 31276, 12, 37525, 14, 625, 1201, 311, 6076, 258, 8456 ]

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

[ 8223, 12212, 199, 8016, 10171, 1537, 281, 262, 26636, 14805, 5625, 3733, 12046, 289, 262, 28744, 27156, 1493, 281, 2214, 14358, 26636, 12, 564, 3686, 896, 474, 18722, 1116, 602, 909, 2091, 289, 2399, 559, 3975, 14, 362, 28744, 27156, 2214, 964, 32891, 1379, 1307, 6061, 12, 1108, 3465, 281, 262, 3975, 559, 5446, 2145, 14, 15772, 12, 262, 3738, 12206, 289, 262, 2214, 12, 311, 579, 6462, 1827, 3465, 416, 262, 3062, 2145, 14, 199, 17004, 5625, 520, 551, 634, 738, 289, 4781, 1170, 536, 808, 13, 13918, 3307, 16840, 2071, 26, 262, 26062, 12, 352, 409, 1875, 8228, 2209, 27, 4847, 3073, 12, 352, 409, 1875, 3327, 2209, 27, 288, 262, 17326, 16144, 12, 352, 2818, 2209, 14, 1295, 2071, 349, 3686, 900, 262, 13922, 590, 5182, 262, 26636, 349, 2264, 12, 896, 493, 438, 1795, 18722, 14, 199, 4722, 16840, 11374, 540, 1033, 402, 749, 42251, 1059, 14805, 5625, 3286, 333, 262, 4208, 14, 14805, 5625, 16840, 16700, 1629, 416, 500, 653, 262, 904, 14, 362, 1519, 1618, 12, 1519, 6966, 12, 2837, 12, 2653, 12, 14699, 12, 5466, 12, 13583, 12, 4004, 12, 3959, 12, 288, 27945, 349, 1573, 262, 748, 1867, 3147, 4091, 438, 738, 14805, 5625, 289, 25721, 26636, 14, 199, 22566, 500, 281, 14805, 5625, 559, 26636, 349, 3733, 1059, 3286, 416, 641, 11749, 40077, 288, 15099, 395, 14557, 20980, 7023, 363, 44, 3267, 5020, 9, 5324, 14, 441, 3267, 5020, 311, 738, 289, 7566, 262, 19464, 12, 37321, 1383, 13, 20767, 7408, 4796, 281, 262, 2214, 12, 1250, 262, 37232, 14, 328, 9897, 284, 262, 5324, 311, 738, 289, 848, 351, 6434, 18048, 12, 15497, 1367, 1339, 416, 262, 2214, 12, 564, 262, 992, 282, 406, 360, 37232, 412, 310, 2063, 14, 4710, 14358, 26636, 349, 3733, 635, 493, 3740, 441, 3267, 5020, 559, 2105, 281, 1644, 343, 493, 1379, 2091, 402, 262, 3975, 14, 199, 2, 20849, 7722, 7023, 83, 690, 441, 3267, 5020, 311, 1261, 513, 1003, 622, 2018, 12, 896, 262, 1339, 384, 349, 3630, 289, 4033, 311, 909, 19464, 1634, 954, 2194, 14, 15053, 24819, 1354, 12, 496, 14, 51, 14, 1349, 7523, 327, 14805, 5625, 409, 30450, 14, 625, 10013, 42300, 284, 262, 24229, 357, 5879, 284, 262, 5324, 501, 28061, 262, 1339, 12, 1697, 262, 3286, 1480, 24402, 289, 310, 3111, 14, 5593, 16036, 2331, 366, 12, 1108, 26636, 1562, 14805, 5625, 559, 6475, 333, 3753, 428, 12, 7037, 311, 258, 27196, 289, 262, 6044, 281, 262, 441, 3267, 5020, 1935, 1315, 199, 17004, 5625, 6035, 4779, 641, 2893, 4034, 284, 3302, 6214, 14, 617, 520, 1927, 3461, 289, 3353, 333, 4942, 289, 1465, 8382, 26636, 327, 4146, 719, 262, 441, 3267, 5020, 4859, 289, 1731, 14, 199, 2029, 1020, 579, 14805, 5625, 333, 262, 4208, 12, 2809, 26, 199, 23035, 1993, 26, 6193, 13, 3034, 5817, 12, 1707, 13, 3034, 12749, 26, 4595, 2135, 1311, 311, 1261, 351, 2664, 43227, 15597, 26, 34377, 13, 4079, 6135, 10483, 2714, 1757, 36326, 199, 35143, 13057, 284, 23499, 438, 634, 6891, 258, 2114, 7859, 65, 13, 4079, 6135, 10483, 343, 577, 281, 4425, 289, 1045, 351, 2873, 5862, 333, 262, 2253, 14, 199, 46181, 83, 281, 661, 45470, 262, 5854, 2714, 262, 1757, 36326, 284, 4704, 44400, 288, 284, 536, 3851, 1853, 262, 1587, 14, 199, 43227, 15597, 6026, 289, 16365, 258, 4274, 3651, 10409, 332, 28899, 17277, 7859, 65, 12, 488, 311, 351, 3200, 2136, 284, 262, 28121, 14, 199, 2663, 262, 1757, 520, 954, 356, 501, 28250, 262, 15465, 896, 7859, 65, 311, 551, 262, 6156, 1338, 327, 1697, 19497, 14, 199, 461, 28533, 2714, 262, 1757, 36326, 551, 9101, 2096, 1033, 416, 7859, 65, 12, 1229, 2423, 8783, 12, 21674, 12, 25714, 288, 30045, 698, 14, 199, 4219, 540, 6260, 258, 37348, 640, 1453, 4425, 289, 16365, 262, 14488, 4274, 20257, 9273, 333, 37369, 4891, 21589, 289, 4225, 1758, 332, 28899, 262, 17277, 281, 7859, 65, 5854, 14, 199, 461, 12137, 19287, 10371, 332, 7859, 65, 13, 4079, 6135, 310, 12878, 1307, 2547, 829, 281, 262, 12137, 3777, 643, 888, 284, 12948, 14, 199, 43227, 15597, 1581, 332, 311, 27652, 12, 1714, 332, 7859, 65, 670, 311, 564, 8491, 15770, 284, 262, 7754, 2679, 281, 262, 28121, 14, 37, 2357, 1718, 199, 461, 1757, 311, 7209, 289, 4367, 262, 4274, 12137, 896, 356, 1581, 356, 710, 9967, 262, 3174, 1461, 19497, 2003, 14, 199, 815, 258, 4347, 12, 262, 1757, 36326, 954, 3618, 13494, 7859, 65, 13, 4079, 6135, 343, 258, 625, 27937, 3123, 2, 281, 23499, 559, 7754, 7827, 538, 840, 432, 1164, 262, 15465, 14, 199, 2, 461, 2531, 281, 262, 1757, 1453, 284, 432, 6260, 262, 15465, 311, 1590, 333, 262, 3248, 281, 6644, 262, 10074, 281, 262, 4274, 12137, 12, 488, 311, 351, 976, 1916, 284, 262, 3174, 1461, 2152, 13, 6340, 36658, 1634, 356, 954, 14, 199, 461, 1757, 311, 262, 904, 559, 3247, 6717, 281, 19497, 288, 520, 634, 3087, 3383, 289, 23948, 7859, 65, 2003, 284, 262, 28121, 327, 4146, 14, 199, 43227, 15597, 311, 262, 904, 559, 753, 6259, 14397, 281, 19497, 900, 14465, 288, 17640, 12, 288, 992, 281, 641, 7859, 65, 3376, 311, 738, 289, 848, 262, 8208, 2152, 14, 199, 43227, 405, 640, 3472, 4863, 79, 4290, 1941, 520, 902, 20045, 262, 6400, 281, 7859, 65, 343, 258, 1541, 281, 1193, 14354, 12, 3404, 288, 3392, 3248, 332, 311, 4457, 416, 19497, 14, 199, 1759, 808, 343, 962, 23499, 559, 753, 7754, 1600, 281, 1117, 12, 4991, 4290, 1941, 311, 551, 258, 3677, 7859, 65, 13, 31974, 264, 288, 5102, 281, 258, 7859, 65, 13, 31974, 372, 3477, 7819, 14, 199, 461, 37348, 640, 15465, 710, 1629, 643, 888, 333, 5782, 3596, 742, 719, 638, 540, 747, 26743, 14, 16238, 926, 262, 2695, 56, 3518, 199, 8697, 262, 1935, 2382, 199, 24520, 382, 83, 8052, 26, 654, 2080, 12, 753, 2301, 284, 4813, 12, 520, 634, 8198, 14, 199, 3880, 306, 40760, 882, 12, 488, 540, 753, 7607, 416, 262, 11809, 11264, 284, 16428, 12, 349, 909, 5396, 47619, 12, 357, 6054, 1166, 12, 1697, 6903, 284, 262, 1400, 1788, 14, 10518, 409, 36197, 2635, 402, 1989, 480, 632, 12, 361, 14, 36, 1065, 2103, 2606, 327, 7707, 1664, 281, 16854, 40760, 260, 28922, 363, 20744, 5124, 2096, 9, 284, 262, 8253, 1059, 2114, 37899, 14, 199, 8697, 445, 4436, 12, 262, 1121, 1935, 1190, 4861, 402, 262, 2764, 6166, 83, 2805, 441, 14, 9376, 15201, 12, 361, 14, 36, 17210, 23557, 16854, 40760, 260, 415, 18, 343, 258, 1319, 281, 262, 1159, 12973, 1144, 288, 6497, 641, 4234, 994, 10137, 7441, 14, 199, 3589, 6371, 1229, 9276, 1578, 328, 14, 19687, 39, 15562, 12, 361, 14, 36, 1065, 1129, 8642, 281, 47369, 409, 262, 1358, 281, 8234, 12, 480, 632, 288, 15201, 3780, 332, 1428, 9518, 281, 20582, 13300, 262, 2003, 281, 44397, 8653, 1570, 12, 258, 16854, 40760, 260, 1033, 402, 30404, 332, 2540, 1400, 25823, 288, 1233, 11198, 281, 1400, 6147, 14, 4081, 3961, 4862, 262, 670, 281, 1428, 7095, 20582, 289, 1596, 1747, 5056, 14, 199, 815, 262, 1435, 5150, 83, 12, 36197, 2163, 2635, 402, 11818, 11076, 34, 9023, 12, 361, 14, 36, 1065, 1459, 14, 36, 1065, 3733, 258, 2403, 831, 262, 2695, 56, 13, 18, 9915, 288, 2862, 1833, 14, 2094, 648, 4572, 1009, 289, 1507, 3326, 281, 2695, 56, 13, 18, 17781, 343, 258, 2070, 918, 289, 1596, 1833, 14, 199, 815, 4813, 1382, 1493, 2635, 402, 262, 2764, 23674, 4290, 701, 12, 361, 14, 36, 1065, 288, 4343, 396, 14, 7656, 12, 361, 14, 36, 1065, 5439, 281, 262, 10424, 27678, 13, 2918, 30821, 6837, 409, 36197, 12, 2674, 332, 8253, 1664, 281, 258, 16854, 40760, 260, 7052, 604, 1250, 368, 9769, 13, 45, 840, 3637, 262, 7278, 281, 258, 2695, 56, 13, 18, 24909, 284, 1905, 352, 1557, 13, 18773, 1144, 4615, 1833, 14, 654, 4046, 12, 4290, 701, 954, 284, 4813, 12, 543, 5363, 262, 6903, 281, 656, 10865, 1245, 7239, 1813, 382, 288, 474, 17728, 619, 310, 3111, 284, 262, 1579, 281, 4615, 1833, 971, 199, 5020, 56, 9728, 551, 619, 1345, 258, 1963, 284, 8027, 382, 83, 1357, 14, 507, 1515, 289, 16854, 40760, 882, 12, 262, 2695, 56, 11546, 412, 1009, 289, 262, 2003, 281, 3015, 17782, 7170, 6411, 1250, 21106, 1404, 884, 882, 12, 488, 12, 284, 1713, 12, 412, 871, 543, 346, 1960, 83, 1198, 357, 23213, 29282, 289, 5118, 332, 619, 310, 4922, 289, 6325, 1679, 14, 199, 8308, 284, 4813, 12, 480, 632, 288, 597, 6371, 409, 36197, 288, 17403, 15324, 1358, 2674, 332, 493, 891, 258, 1662, 13, 10709, 1756, 284, 262, 1014, 281, 498, 1960, 83, 284, 262, 9758, 281, 1905, 590, 683, 8027, 382, 83, 1357, 2958, 289, 1624, 13, 37560, 1422, 9758, 14, 199, 1289, 3487, 349, 262, 753, 1793, 1032, 5017, 332, 2695, 56, 2096, 349, 9646, 284, 262, 9758, 281, 1905, 352, 8027, 382, 83, 1357, 1198, 1581, 480, 632, 12, 4963, 426, 14, 426, 1474, 5916, 281, 5110, 288, 4825, 281, 47369, 14, 199, 54, 4625, 34078, 3601, 311, 10521, 284, 258, 2144, 5251, 289, 935, 719, 902, 13, 3034, 670, 281, 2695, 56, 17781, 501, 2130, 262, 9197, 281, 262, 1357, 14, 30638, 262, 24537, 1, 4129, 1115, 258, 885, 2733, 357, 6425, 281, 680, 9593, 5894, 311, 10937, 12, 1750, 352, 258, 4989, 6801, 2684, 402, 258, 3540, 21732, 14, 199, 8963, 3198, 3663, 199, 42769, 26, 1023, 2063, 416, 1740, 6727, 83, 27489, 4666, 284, 4760, 10918, 262, 4710, 1206, 986, 258, 1115, 900, 262, 3389, 31777, 14, 3418, 332, 3621, 2075, 262, 32420, 7227, 356, 8462, 6052, 3053, 262, 4760, 14206, 14, 3806, 262, 21005, 559, 3441, 7471, 12, 445, 8456, 5953, 281, 1182, 3286, 5304, 262, 22327, 5971, 281, 262, 3062, 9897, 343, 356, 914, 26646, 1461, 258, 9559, 2942, 1832, 12, 17609, 1048, 258, 2424, 288, 4027, 8369, 14, 3165, 258, 5646, 907, 284, 258, 1211, 281, 1648, 270, 12, 262, 14530, 538, 24576, 1076, 6290, 349, 2535, 402, 10035, 37868, 9773, 402, 902, 12, 1428, 12, 6228, 3305, 288, 1868, 10035, 2512, 32659, 14, 199, 34520, 1386, 14003, 26, 199, 29760, 539, 10497, 18030, 363, 11216, 8061, 9, 199, 15433, 22319, 26, 32156, 29223, 20062, 2379, 4122, 14, 199, 33, 2522, 281, 26, 20035, 409, 5004, 2870, 28411, 12647, 199, 6, 8095, 13831, 14, 496, 14, 35743, 2042, 3157, 199, 18470, 468, 333, 8143, 289, 853, 262, 5444, 3228, 288, 12301, 14, 199, 14922, 35744, 380, 455, 268, 559, 10577, 199, 8697, 11053, 13, 2387, 8722, 289, 6368, 19503, 15270, 5707, 20122, 7, 8569, 199, 6786, 1018, 1789, 1293, 829, 281, 3131, 12, 638, 438, 634, 2973, 12671, 843, 339, 438, 634, 33811, 279, 333, 660, 289, 1301, 258, 1501, 2153, 289, 1018, 1005, 14, 339, 5192, 1776, 634, 1533, 289, 1713, 289, 3815, 21006, 18753, 14, 2279, 327, 3153, 13, 263, 12, 8321, 5494, 14, 1072, 1208, 12, 339, 5542, 339, 4415, 1018, 1005, 289, 750, 474, 2128, 635, 356, 2239, 289, 16688, 352, 2043, 12, 2721, 352, 8330, 14, 2561, 10974, 752, 262, 19951, 4043, 333, 3815, 21006, 18753, 12, 339, 2239, 2208, 625, 20849, 8102, 38301, 6067, 11053, 13, 2387, 8722, 1315, 199, 3428, 753, 12, 339, 7395, 289, 670, 262, 4844, 4472, 343, 2684, 26, 3815, 15270, 5707, 20122, 559, 7483, 625, 36, 2072, 44428, 2, 288, 2050, 258, 1284, 13, 277, 3415, 352, 1005, 27, 911, 438, 262, 1005, 1876, 474, 1158, 409, 629, 1284, 13, 277, 8722, 1059, 536, 8330, 14, 2530, 1889, 568, 500, 281, 262, 4062, 12, 339, 8856, 339, 840, 750, 629, 3027, 2128, 12, 488, 710, 3308, 9359, 643, 262, 8377, 288, 5953, 281, 1018, 1160, 14, 2530, 12503, 262, 1284, 13, 277, 3415, 289, 625, 36, 2072, 44428, 1634, 339, 9771, 1005, 643, 5460, 2071, 14, 4129, 1493, 414, 1714, 258, 885, 15270, 5707, 20122, 7483, 288, 3567, 289, 1899, 258, 1284, 13, 277, 3415, 14, 362, 1863, 1115, 12, 262, 1005, 540, 1656, 643, 258, 714, 48434, 1493, 843, 493, 540, 10877, 3496, 327, 6358, 735, 474, 15270, 5707, 20122, 7483, 23998, 14, 9744, 333, 262, 11866, 3053, 474, 1493, 27245, 7, 11284, 12, 1750, 352, 1059, 262, 1976, 281, 1048, 474, 7483, 288, 625, 36, 2072, 44428, 1634, 1005, 540, 3567, 289, 4131, 568, 590, 15270, 5707, 20122 ]

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

[ 414, 343, 258, 533, 14, 1729, 1206, 378, 1302, 327, 31, 1729, 540, 597, 6569, 31, 1729, 1206, 378, 1321, 568, 281, 981, 31, 4855, 738, 14917, 416, 262, 1835, 11284, 289, 5816, 284, 258, 1600, 13, 9189, 11744, 30656, 289, 20904, 474, 2255, 281, 590, 20122, 840, 310, 14, 654, 2266, 4844, 281, 1889, 352, 11284, 288, 1284, 13, 277, 8722, 4465, 643, 258, 1293, 1741, 281, 1493, 3344, 12, 2043, 28718, 283, 12, 32124, 12, 288, 907, 351, 1796, 1019, 1, 199, 18135, 1193, 5494, 1594, 333, 3815, 21006, 18753, 14, 2279, 12, 717, 343, 625, 20849, 8102, 38301, 6067, 11053, 13, 2387, 8722, 1634, 1018, 1005, 710, 1908, 438, 634, 1533, 289, 12588, 564, 748, 1931, 2456, 4038, 284, 717, 258, 1707, 1673, 281, 650, 14, 199, 42361, 1028, 797, 1220, 2760, 15200, 4378, 2760, 9282, 15200, 199, 9802, 1352, 3924, 281, 1284, 13, 277, 8722, 288, 1643, 13, 1615, 13, 8995, 6664, 752, 3438, 10627, 14, 507, 262, 948, 12, 1005, 750, 262, 2291, 289, 670, 1284, 13, 277, 8722, 289, 4764, 284, 2456, 12326, 4955, 14, 199, 14922, 35744, 5667, 660, 993, 738, 3815, 21006, 18753, 284, 867, 4110, 14, 199, 41, 438, 634, 3131, 15097, 13, 288, 17184, 13, 10060, 1758, 7159, 284, 17585, 327, 262, 1789, 2156, 829, 14, 339, 6518, 616, 284, 6193, 4718, 12, 1136, 2367, 12, 538, 438, 1250, 17585, 1018, 1393, 1562, 12503, 1018, 15714, 288, 4929, 382, 83, 648, 409, 262, 1358, 281, 17585, 14, 10815, 288, 1508, 438, 1426, 1018, 9011, 25447, 284, 981, 12, 488, 311, 1829, 1018, 1741, 349, 4746, 3131, 2024, 12, 24347, 5772, 12, 14601, 262, 1042, 8648, 12, 288, 3131, 11892, 284, 262, 33650, 14, 17077, 4251, 2630, 281, 3373, 363, 10193, 414, 551, 4251, 18559, 281, 7838, 9, 11783, 262, 12371, 284, 1791, 5589, 2208, 262, 1766, 281, 597, 4900, 12, 5567, 2630, 14, 4251, 2630, 414, 31550, 896, 281, 597, 7256, 289, 1756, 262, 1132, 281, 262, 20084, 288, 8928, 262, 5470, 4227, 14, 2417, 1279, 284, 262, 625, 39, 2527, 706, 6357, 2, 281, 1791, 5694, 13, 5977, 12, 378, 12002, 289, 4004, 14, 2426, 6251, 288, 3481, 13, 260, 13, 10278, 10993, 1148, 343, 8085, 4243, 2630, 288, 2707, 3445, 6863, 14, 4251, 2630, 3432, 284, 1642, 6582, 14, 199, 33099, 5197, 4443, 12, 656, 2957, 349, 327, 9006, 409, 9122, 14, 1236, 14, 2997, 6326, 752, 656, 5242, 501, 734, 289, 1164, 262, 3768, 4709, 288, 6381, 281, 262, 6505, 1109, 14, 20718, 2158, 14, 199, 18162, 2630, 402, 1989, 11932, 14, 23050, 416, 262, 15743, 2024, 31193, 83, 2836, 14, 199, 18162, 2630, 26, 362, 46952, 652, 288, 262, 44624, 402, 1989, 338, 7899, 14, 46393, 4251, 7, 981, 1059, 1670, 13, 3823, 1338, 416, 262, 3922, 1717, 12733, 14, 24136, 4251, 7, 1011, 6149, 281, 262, 8236, 281, 24281, 16439, 12, 597, 3489, 327, 597, 9042, 289, 26123, 12, 288, 597, 17197, 352, 3445, 281, 16931, 14, 199, 33, 4566, 284, 1517, 624, 26, 362, 589, 85, 11194, 284, 4004, 12, 1791, 5977, 13, 2134, 1687, 402, 8045, 23715, 14, 2530, 4251, 2630, 414, 42774, 12, 378, 2993, 597, 3858, 284, 4004, 14, 362, 1680, 5667, 597, 3858, 288, 262, 2091, 4450, 831, 262, 2486, 288, 3010, 8316, 3078, 14, 199, 17077, 284, 1517, 624, 26, 4251, 2630, 26, 45766, 12, 2707, 288, 8828, 402, 1989, 338, 7899, 14, 1034, 558, 25589, 4251, 559, 4723, 327, 7336, 352, 597, 34801, 288, 17487, 12, 12552, 258, 14672, 281, 258, 533, 590, 7395, 327, 1193, 2241, 15118, 288, 2445, 25586, 14, 199, 18162, 2630, 288, 262, 24102, 281, 262, 16495, 40960, 402, 3445, 28793, 14, 362, 5251, 281, 4126, 21271, 284, 1791, 5694, 414, 258, 612, 13210, 289, 262, 34329, 706, 6357, 12, 343, 2445, 1164, 327, 262, 21271, 2635, 289, 6818, 10234, 327, 3445, 281, 16931, 559, 9573, 14, 199, 461, 12043, 281, 2707, 4251, 2630, 402, 1989, 338, 7899, 311, 579, 262, 24813, 829, 281, 262, 10582, 3469, 14, 5422, 281, 2864, 12, 538, 2672, 1594, 416, 990, 2274, 272, 14, 199, 461, 2850, 374, 288, 262, 2707, 26, 328, 24843, 281, 262, 2850, 374, 281, 12148, 33058, 288, 2707, 4251, 2630, 402, 16186, 37167, 341, 6649, 14, 24843, 579, 28886, 18701, 1965, 12, 258, 8316, 37926, 4985, 289, 848, 262, 689, 47118, 281, 5944, 26, 289, 3353, 10716, 289, 262, 3469, 12, 357, 289, 3373, 14, 199, 461, 15848, 327, 258, 12714, 402, 11582, 20057, 14, 24843, 579, 660, 4251, 2630, 3188, 597, 12371, 14, 5422, 281, 2864, 12, 538, 2672, 1594, 416, 990, 2274, 272, 14, 50, 55, 42, 38, 45015, 26, 4024, 19232, 4038, 1190, 15138, 13898, 288, 12016, 1001, 939, 1190, 1475, 4644, 262, 6326, 281, 9868, 2713, 199, 48, 19915, 412, 4021, 1551, 1503, 1013, 5944, 288, 349, 8298, 343, 351, 976, 4723, 284, 262, 2665, 289, 8464, 262, 5968, 6453, 10840, 14, 1072, 1208, 12, 635, 2285, 2713, 690, 5278, 288, 4787, 349, 513, 10575, 12, 957, 349, 1098, 1739, 289, 4069, 4105, 2371, 14, 1265, 3087, 827, 6116, 12, 1229, 262, 3048, 281, 5110, 12, 3586, 714, 4379, 289, 2130, 653, 41889, 281, 3446, 13, 31355, 2354, 14371, 12, 488, 349, 552, 281, 262, 1489, 2705, 281, 7036, 284, 262, 1378, 2108, 14, 199, 461, 2098, 2075, 12, 416, 41963, 42, 38, 4650, 3865, 288, 4413, 12, 4123, 262, 1509, 827, 288, 2294, 5049, 281, 1059, 19232, 4038, 289, 4644, 3992, 281, 2285, 2713, 288, 14371, 288, 22017, 3992, 281, 12780, 2096, 14, 1201, 3178, 2336, 2893, 2705, 332, 3030, 660, 3003, 288, 2959, 1548, 288, 552, 2024, 288, 552, 3003, 3628, 438, 3241, 262, 2253, 281, 2550, 73, 12, 357, 262, 1988, 13, 7689, 17300, 281, 8860, 37758, 14, 199, 4840, 493, 349, 500, 3022, 281, 1988, 13, 7689, 17300, 12, 5088, 9023, 9814, 1140, 12, 426, 14201, 14742, 12, 4184, 3445, 22026, 260, 943, 12, 288, 4209, 14, 3373, 1301, 1604, 885, 2959, 10689, 333, 262, 2253, 281, 2550, 73, 288, 735, 356, 5402, 579, 3003, 2679, 284, 1937, 12, 288, 262, 8860, 4583, 288, 8860, 1385, 284, 1501, 14, 1022, 551, 4968, 2469, 2115, 266, 16549, 284, 2959, 8797, 2044, 2632, 288, 262, 8860, 4583, 284, 1937, 14, 617, 710, 310, 3111, 289, 6789, 262, 8797, 281, 22026, 260, 943, 288, 3373, 343, 9107, 262, 12995, 288, 9029, 4267, 281, 2486, 10710, 281, 2550, 73, 14, 328, 6189, 281, 22026, 260, 943, 382, 83, 7471, 352, 262, 7180, 6755, 551, 9007, 3615, 284, 8864, 831, 3268, 288, 1262, 5592, 281, 7989, 5352, 14, 7669, 12, 258, 6189, 831, 262, 426, 14201, 14742, 288, 262, 1170, 1548, 803, 5609, 4414, 333, 1972, 357, 432, 262, 4620, 288, 1371, 3799, 281, 262, 6263, 1033, 726, 2901, 284, 597, 357, 867, 32895, 281, 262, 2253, 281, 1988, 13, 7689, 17300, 14, 199, 461, 1170, 2705, 402, 3003, 1548, 288, 552, 402, 351, 3003, 3628, 11393, 262, 5473, 281, 474, 8797, 2044, 2550, 73, 14, 362, 2127, 31085, 2138, 45004, 262, 1338, 4674, 281, 10927, 281, 262, 8860, 20282, 590, 311, 16476, 289, 9317, 258, 3481, 12, 564, 343, 289, 1465, 258, 5231, 29159, 4065, 1307, 262, 5983, 1503, 14, 1295, 1548, 349, 6551, 289, 17411, 6985, 288, 13767, 13762, 289, 5550, 258, 47807, 2264, 4148, 720, 590, 840, 310, 5776, 14, 654, 4240, 551, 5592, 332, 10077, 414, 258, 12886, 2253, 1573, 22062, 12, 288, 332, 8860, 1385, 343, 808, 343, 1548, 840, 9317, 351, 19533, 14, 8858, 12027, 280, 17062, 382, 83, 5360, 13778, 258, 8002, 371, 3672, 289, 5481, 8860, 12505, 352, 262, 5991, 281, 2486, 6755, 14, 17062, 13778, 552, 281, 262, 748, 1919, 284, 488, 7061, 17891, 352, 2486, 2241, 1132, 284, 1478, 289, 5550, 1311, 1307, 3003, 2474, 14, 809, 551, 10758, 262, 2486, 289, 4498, 262, 8302, 281, 23691, 22062, 579, 262, 6805, 865, 3397, 327, 262, 23777, 281, 1988, 13, 7689, 17300, 281, 8860, 37758, 14, 362, 14300, 281, 262, 23691, 8860, 1762, 284, 35496, 12, 262, 3155, 281, 262, 5612, 382, 83, 11214, 284, 2632, 12, 5592, 351, 1435, 3672, 281, 7061, 289, 1465, 262, 2486, 7989, 1132, 416, 7031, 741, 333, 6743, 20347, 289, 262, 3268, 12544, 281, 3003, 1503, 981, 14, 7669, 12, 18045, 6409, 8858, 377, 2330, 9840, 262, 1919, 284, 488, 3200, 8860, 24507, 288, 474, 7403, 3768, 289, 17751, 6231, 14, 4855, 803, 1755, 660, 8858, 377, 2330, 382, 83, 3672, 289, 5609, 6665, 327, 867, 1843, 648, 1573, 720, 37758, 284, 2632, 1285, 438, 7048, 867, 4414, 281, 2550, 73, 14, 199, 9080, 1931, 2160, 803, 310, 14558, 14, 3330, 12, 1048, 3003, 14255, 288, 2959, 288, 3003, 16431, 281, 262, 2253, 281, 1988, 13, 7689, 17300, 7957, 474, 6736, 333, 262, 4244, 281, 8860, 1385, 12, 288, 500, 262, 1548, 2697, 8640, 289, 8860, 24507, 289, 12886, 474, 1164, 357, 8231, 14, 5171, 12, 262, 11908, 281, 3003, 1385, 540, 20627, 752, 262, 44586, 281, 3003, 288, 2959, 1548, 288, 258, 909, 1293, 2486, 1385, 1702, 262, 2764, 567, 367, 1820, 14, 199, 13, 1084, 524, 262, 2684, 288, 3646, 2705, 10507, 262, 8860, 1385, 590, 2884, 1988, 13, 7689, 17300, 31, 27356, 4267, 2033, 416, 1980, 5442, 288, 1624, 12, 9264, 12, 2185, 281, 1980, 1414, 363, 5363, 907, 262, 689, 10690, 3628, 1175, 5606, 1106, 6898, 289, 1766, 756, 289, 726, 2185, 281, 262, 6408, 357, 15051, 281, 262, 8860, 20282, 284, 15114, 289, 2884, 2550, 73, 14, 3963, 726, 3615, 48467, 12, 288, 719, 564, 12, 524, 493, 1745, 2264, 289, 4620, 357, 23897, 281, 262, 16729, 357, 650, 1510, 284, 488, 493, 540, 3968, 31, 199, 13, 1084, 349, 262, 3812, 72, 1354, 12957, 590, 841, 477, 409, 262, 1988, 13, 7689, 17300, 17546, 284, 3003, 288, 2959, 2705, 31, 1729, 1285, 1971, 327, 726, 12890, 288, 3615, 31, 199, 13, 1729, 3489, 349, 738, 289, 16323, 8860, 37758, 416, 22564, 2550, 73, 31, 1729, 524, 656, 3489, 7747, 579, 262, 2229, 281, 1503, 981, 284, 2632, 288, 262, 4450, 831, 1548, 288, 1385, 31, 199, 13, 1729, 524, 262, 3489, 332, 23691, 22062, 1485, 289, 2959, 17201, 288, 289, 3003, 34466, 7747, 579, 262, 6824, 281, 2550, 73, 327, 262, 2253, 281, 262, 8860, 4583, 31, 1729, 524, 474, 8302, 7747, 579, 23691, 8860, 8797, 2044, 1385, 288, 262, 1503, 31, 199, 13, 1084, 349, 8860, 24507, 738, 284, 1835, 1919, 284, 262, 15374, 1073, 288, 900, 262, 22307, 281, 2550, 73, 31, 199, 13, 1729, 311, 262, 8864, 281, 262, 14300, 416, 10850, 22062, 289, 474, 2486, 10966, 31, 1296, 303, 524, 493, 2480, 289, 1992, 31, 1729, 311, 474, 18411, 327, 262, 8280, 281, 1988, 13, 7689, 17300, 31, 1729, 311, 474, 8322, 2044, 262, 29986, 9872, 3147, 5101, 14569, 683, 21065, 262, 2486, 31, 1729, 311, 474, 20227, 281, 262, 14300, 372, 2044, 942, 22062, 590, 1164, 262, 22307, 333, 2550, 73, 31, 1084, 524, 262, 14300, 372, 19182, 262, 1432, 2276, 831, 262, 1117, 288, 262, 2253, 281, 4583, 1573, 641, 4983, 31, 199, 13, 7411, 357, 735, 2315, 524, 2959, 17201, 12, 2486, 5352, 12, 288, 3003, 16431, 281, 2550, 73, 2246, 289, 310, 3496, 327, 262, 1218, 32368, 281, 262, 2253, 281, 2550, 73, 31, 199, 13, 1729, 540, 262, 3489, 332, 37758, 3828, 327, 22564, 2550, 73, 31, 21851, 493, 3392, 12, 1371, 357, 1338, 21652, 31, 1729, 311, 262, 2185, 332, 262, 37758, 540, 24070, 22564, 2550, 73, 1073, 33439, 31, 1729, 3489, 1206, 262, 16431, 281, 2550, 73, 1803, 327, 262, 4254, 281, 37758, 289, 2884, 1988, 13, 7689, 17300, 31, 1729, 3489, 1206, 16431, 1803, 327, 37758, 590, 5405, 289, 7229, 416, 474, 25569, 382, 8481, 390, 31, 199, 13, 1729, 349, 262, 3489, 332, 4184, 22026, 260, 943, 288, 597, 12728, 4345, 15508, 327, 474, 3282, 289, 15120, 262, 2253, 281, 2550, 73, 8208, 31, 3963, 262, 8302, 1795, 289, 357, 885, 416, 597, 8302, 284, 597, 7471, 258, 1630, 3649, 31, 1729, 524, 656, 3489, 7747, 579, 2486, 8797, 2044, 474, 1963, 357, 4034, 284, 2632, 31, 2479, 493, 670, 726, 281, 262, 8302, 9600, 402, 8858, 12027, 280, 17062, 357, 18045, 6409, 8858, 377, 2330, 31, 199, 13, 1729, 524, 656, 2705, 12, 1048, 942, 590, 20042, 2550, 73, 288, 942, 590, 12697, 356, 12, 7747, 579, 474, 8797, 289, 262, 8860, 4583, 284 ]

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

[ 1501, 288, 3003, 2679, 284, 1937, 31, 13250, 2046, 12, 3144, 199, 18266, 32951, 958, 1136, 6230, 333, 17280, 38453, 284, 496, 14, 51, 14, 199, 9537, 409, 262, 17403, 15324, 32661, 2604, 281, 4242, 2092, 7913, 289, 258, 714, 10858, 327, 6109, 5616, 288, 8006, 363, 18266, 9, 1209, 332, 6597, 262, 8787, 281, 17280, 26883, 15479, 363, 33929, 9, 343, 7956, 366, 284, 15109, 496, 14, 51, 14, 957, 3585, 12, 288, 366, 284, 11980, 6940, 14, 199, 1201, 311, 262, 3000, 717, 1209, 402, 262, 9856, 382, 83, 17280, 288, 25466, 22010, 17341, 7531, 363, 4975, 19803, 756, 488, 520, 738, 262, 1027, 11657, 2606, 327, 513, 622, 258, 6001, 14, 21127, 4876, 19803, 4008, 4292, 262, 2141, 281, 6498, 15926, 409, 366, 284, 13120, 957, 284, 262, 3534, 1209, 332, 5354, 409, 1032, 416, 4195, 12, 288, 366, 284, 6844, 957, 284, 262, 3835, 1209, 12, 488, 4427, 1032, 416, 5350, 14, 362, 1507, 8787, 6895, 12, 488, 9060, 1032, 416, 3610, 12, 5402, 258, 14943, 1537, 1756, 1562, 5350, 12, 288, 258, 3663, 1537, 1756, 1562, 4195, 14, 199, 3267, 15926, 1398, 20936, 281, 21597, 4083, 12, 35019, 4083, 12, 288, 368, 657, 5710, 25466, 14109, 13, 6126, 17756, 4277, 1397, 363, 10599, 36, 13, 46, 4552, 595, 6498, 15926, 26316, 258, 2226, 7421, 281, 1806, 12, 500, 281, 488, 1551, 3344, 12, 1371, 288, 8293, 2128, 14, 362, 2540, 281, 656, 9547, 4295, 349, 432, 3626, 5761, 12, 3045, 1940, 1060, 332, 1048, 1306, 288, 11299, 1345, 351, 976, 288, 2302, 1963, 14, 1239, 311, 747, 1257, 8152, 327, 6498, 15926, 12, 538, 1940, 438, 2580, 332, 8293, 8119, 12, 2721, 942, 8782, 1435, 284, 258, 720, 382, 83, 981, 12, 412, 6110, 1890, 1508, 288, 2128, 14, 199, 461, 5444, 9856, 1209, 12, 543, 8014, 27765, 281, 17280, 26883, 15479, 797, 17280, 288, 25466, 22010, 17341, 7531, 12, 2087, 21988, 12, 1519, 1618, 12, 3610, 1198, 2336, 7954, 8787, 6597, 416, 885, 1574, 281, 262, 1519, 1618, 12, 1229, 10295, 14, 362, 3096, 281, 262, 1209, 311, 289, 1485, 837, 13, 9358, 1032, 333, 262, 4979, 288, 4253, 281, 6498, 15926, 284, 262, 496, 14, 51, 14, 1822, 12, 289, 4644, 1437, 4040, 327, 827, 288, 3967, 2342, 12, 288, 289, 928, 262, 1993, 1326, 281, 1121, 333, 262, 2540, 12, 10842, 12, 288, 4943, 14, 199, 1289, 1633, 2832, 12562, 3836, 284, 8787, 1562, 262, 25920, 281, 262, 1349, 284, 4108, 1198, 954, 8979, 13, 2300, 283, 8083, 12, 9807, 12, 258, 16241, 11573, 19957, 352, 262, 32661, 2604, 2, 83, 40441, 281, 27597, 288, 11351, 2092, 288, 262, 7309, 20695, 327, 262, 8787, 1349, 382, 83, 10295, 2158, 14, 543, 815, 10295, 12, 384, 891, 4060, 1537, 281, 957, 352, 6498, 15926, 540, 1908, 6567, 402, 5896, 14, 1852, 12, 384, 693, 638, 349, 513, 957, 568, 638, 288, 384, 619, 935, 262, 1756, 2832, 284, 3777, 829, 971, 199, 461, 714, 1209, 12, 488, 7301, 333, 1220, 13, 3322, 13, 10167, 896, 332, 311, 351, 1624, 843, 689, 957, 352, 20035, 438, 634, 3719, 12, 2471, 332, 262, 1127, 281, 942, 3491, 8990, 4301, 1573, 262, 2087, 10521, 2244, 12, 352, 11959, 1952, 262, 262, 4127, 3585, 2141, 363, 17, 284, 11104, 9, 288, 12584, 262, 8390, 363, 17, 284, 27137, 595, 24392, 500, 3367, 12, 3281, 2156, 1602, 343, 748, 6940, 343, 5243, 349, 3491, 14, 7514, 12, 2758, 2799, 281, 9238, 957, 349, 962, 6567, 12, 352, 258, 17359, 1537, 1756, 1573, 2284, 1557, 13, 32290, 957, 288, 258, 13120, 1537, 1756, 327, 15342, 957, 14, 10518, 1527, 1437, 7438, 288, 4782, 619, 4857, 289, 942, 3836, 1573, 9238, 957, 14, 199, 461, 3585, 2141, 284, 10295, 311, 366, 284, 4293, 957, 27, 366, 284, 11276, 6940, 288, 366, 284, 28572, 5243, 14, 507, 10295, 12, 262, 8787, 520, 2231, 10171, 1537, 416, 5350, 289, 3610, 14, 362, 1756, 414, 10463, 1537, 831, 4813, 288, 3610, 12, 288, 4921, 1537, 831, 4195, 288, 3610, 14, 199, 461, 1032, 540, 8891, 752, 7049, 352, 262, 10295, 2427, 3104, 281, 3572, 288, 10521, 2539, 284, 11128, 38920, 41937, 12, 14884, 12, 26425, 12, 38994, 12, 3164, 3427, 288, 14442, 11129, 12, 343, 808, 343, 4082, 2705, 717, 343, 11244, 608, 2759, 1178, 3048, 12, 16938, 14, 3618, 13273, 7932, 12, 288, 1358, 281, 10295, 5158, 3650, 14, 199, 3609, 262, 1209, 7301, 333, 262, 2799, 12, 641, 4418, 11094, 332, 262, 3489, 327, 262, 1756, 349, 432, 3626, 5761, 288, 332, 513, 1121, 311, 2286, 14, 1022, 3884, 332, 262, 1756, 311, 1739, 1690, 284, 577, 289, 258, 45794, 4726, 281, 6498, 15926, 12, 2650, 4801, 1573, 262, 1262, 288, 5896, 12, 288, 262, 918, 957, 3524, 2342, 284, 474, 1666, 2945, 14, 543, 1406, 382, 83, 909, 1788, 12, 719, 432, 5678, 12, 289, 547, 560, 656, 2315, 5661, 289, 20948, 660, 992, 963, 281, 656, 2315, 7913, 289, 262, 1756, 1198, 2194, 14, 8083, 954, 14, 199, 2663, 6561, 262, 1479, 12, 543, 1201, 1209, 20274, 258, 4010, 281, 262, 9500, 281, 262, 2304, 1853, 680, 1587, 288, 2673, 468, 1235, 660, 2945, 2704, 957, 352, 7954, 14, 2064, 2577, 262, 1032, 2235, 468, 352, 17922, 797, 638, 349, 513, 957, 288, 3078, 332, 713, 734, 1198, 954, 9856, 7538, 4963, 13923, 268, 12, 7446, 12, 35717, 14, 199, 9537, 551, 3719, 262, 12826, 1624, 281, 20035, 4782, 12, 9353, 284, 4286, 14, 507, 10295, 12, 332, 1624, 414, 854, 829, 288, 1028, 2370, 12, 2958, 352, 832, 829, 12, 1028, 2370, 17870, 14, 24392, 500, 3367, 12, 957, 590, 438, 21597, 4083, 2978, 289, 310, 3719, 3649, 12, 1106, 942, 352, 35019, 14109, 2978, 289, 310, 6567, 1704, 14, 11329, 262, 3248, 281, 1435, 6051, 12, 4876, 19803, 2163, 6187, 3744, 409, 735, 1624, 957, 3524, 351, 20035, 4782, 14, 199, 1289, 13479, 12, 689, 957, 1261, 349, 432, 6567, 1702, 900, 493, 3345, 1624, 832, 14, 998, 382, 304, 4642, 416, 1480, 748, 2401, 332, 493, 540, 5372, 902, 1073, 474, 720, 414, 6567, 14, 998, 349, 1889, 1669, 289, 1311, 332, 1198, 954, 17553, 268, 41181, 12, 9807, 12, 7547, 40, 15249, 12, 5439, 281, 9856, 382, 83, 1717, 2964, 333, 16090, 5116, 30076, 288, 25466, 22010, 14, 199, 2358, 935, 262, 1939, 1209, 26, 3190, 2102, 3038, 14, 33608, 14, 6902, 15, 7768, 87, 82, 15, 9436, 1494, 15, 7768, 87, 82, 8225, 15, 859, 22, 23994, 65, 17, 14, 13550, 31, 83, 63, 67, 318, 29, 859, 22, 23994, 65, 17, 63, 87, 199, 2358, 262, 7237, 6230, 352, 1117, 7324, 26, 3190, 2102, 3038, 14, 33608, 14, 6902, 15, 16798, 66, 10412, 68, 15, 2040, 903, 15, 45311, 15, 4975, 19803, 13, 8963, 13, 27510, 13, 25572, 14, 9663, 199, 28272, 2572, 327, 17403, 15324, 32661, 2604, 281, 4242, 2092, 26, 32326, 623, 6552, 13, 55, 5264, 409, 41192, 13, 22, 2119, 13, 3274, 3798, 357, 4397, 32, 7196, 14, 1236, 13, 10185, 12, 445, 311, 258, 1040, 650, 289, 1541, 4076, 4645, 4500, 284, 262, 2013, 14, 1226, 619, 438, 289, 5789, 352, 9832, 719, 262, 16908, 2451, 1073, 262, 4528, 438, 9931, 3925, 288, 1033, 1040, 3921, 2052, 14, 199, 13, 9349, 15785, 803, 339, 1541, 31, 362, 8442, 2577, 579, 3154, 311, 332, 384, 438, 564, 748, 885, 8506, 27, 262, 6725, 2577, 579, 3154, 311, 332, 384, 438, 564, 748, 885, 8506, 14, 617, 382, 83, 5678, 327, 468, 289, 693, 38047, 488, 1501, 16911, 23216, 7898, 738, 289, 1029, 357, 619, 1261, 1029, 409, 487, 1501, 2158, 12, 538, 289, 848, 262, 1389, 42136, 1509, 12, 384, 3586, 262, 1597, 26, 199, 13, 10346, 10419, 8889, 311, 289, 438, 16911, 23216, 7898, 2065, 333, 262, 2158, 332, 354, 412, 28085, 752, 1432, 38396, 357, 14358, 3364, 14, 199, 13, 9394, 1389, 311, 289, 438, 258, 6624, 2158, 352, 4076, 16911, 23216, 7898, 288, 1795, 12637, 12, 3061, 12, 288, 8951, 12, 332, 354, 412, 670, 343, 258, 2050, 14, 199, 13, 2530, 332, 12, 647, 289, 2705, 717, 343, 680, 32172, 22562, 281, 6721, 7645, 7898, 281, 3154, 12, 402, 16605, 34402, 293, 12, 1828, 23, 14, 1815, 14, 199, 13, 3918, 4326, 1666, 817, 25229, 281, 487, 1374, 12, 1594, 752, 262, 3154, 6721, 7053, 3923, 14, 199, 6111, 406, 264, 2758, 26, 998, 1029, 16248, 284, 15635, 2447, 262, 3334, 12, 538, 4936, 4040, 327, 2758, 487, 1011, 1892, 284, 15635, 311, 289, 27212, 2524, 2370, 1073, 354, 1321, 289, 1656, 602, 284, 262, 2013, 14, 7242, 9108, 895, 4300, 670, 29604, 288, 48679, 363, 5604, 5737, 9972, 756, 288, 493, 619, 310, 2262, 327, 1203, 1574, 12, 384, 4384, 2758, 602, 262, 36959, 918, 26, 753, 284, 31576, 12, 911, 41244, 643, 832, 2, 15635, 12, 288, 635, 493, 349, 24217, 1670, 1892, 12, 643, 262, 2013, 14, 3692, 3185, 311, 332, 1562, 493, 349, 432, 8312, 13, 34716, 538, 26665, 13, 34716, 363, 572, 281, 474, 1081, 7114, 343, 1691, 343, 2634, 10041, 1422, 311, 5372, 9, 4738, 832, 2, 15635, 8907, 602, 12, 288, 564, 1691, 680, 4092, 438, 20271, 445, 568, 14, 199, 815, 1843, 42593, 12, 384, 501, 310, 8101, 333, 262, 4092, 288, 8900, 281, 41202, 30875, 37828, 908, 46244, 8299, 288, 1989, 35904, 12, 590, 349, 1889, 352, 12545, 13117, 8111, 42916, 15585, 333, 258, 1019, 281, 2639, 31385, 288, 16911, 23216, 7898, 14, 1852, 1691, 12, 356, 382, 83, 909, 10486, 14, 1207, 513, 333, 332, 1704, 14, 1072, 1129, 12, 339, 382, 678, 1045, 352, 258, 11667, 416, 37828, 908, 12, 590, 7799, 12, 19300, 12, 13857, 805, 12, 2570, 12, 288, 45493, 16911, 23216, 7898, 12, 327, 262, 827, 281, 474, 1211, 288, 262, 3499, 281, 474, 12567, 14, 199, 1289, 1406, 2840, 258, 1106, 14, 1207, 356, 382, 83, 564, 3897, 356, 971, 41, 382, 77, 10495, 258, 3052, 289, 3825, 1018, 957, 289, 3187, 327, 2238, 14, 339, 1321, 602, 289, 1352, 660, 289, 310, 1988, 13, 2073, 4201, 12, 538, 339, 551, 1321, 289, 848, 2049, 493, 438, 3497, 493, 713, 327, 262, 1115, 14, 1052, 339, 1362, 382, 84, 16752, 2576, 951, 2217, 12, 493, 382, 261, 1739, 289, 310, 3870, 4707, 327, 14369, 650, 538, 6997, 976, 6095, 357, 5873, 3520, 14, 1729, 382, 83, 262, 1025, 2577, 289, 524, 31, 199, 6768, 6274, 289, 5609, 1988, 13, 2073, 4201, 957, 311, 14646, 14, 1207, 638, 382, 83, 747, 6105, 332, 7320, 262, 2133, 263, 412, 310, 9938, 14, 362, 753, 2028, 520, 289, 310, 26, 660, 1436, 349, 487, 957, 31, 328, 1040, 1937, 3775, 281, 13035, 311, 12, 719, 493, 382, 261, 1436, 1927, 289, 1010, 12, 493, 382, 261, 1436, 1927, 289, 3187, 474, 1011, 10139, 14, 35242, 487, 1670, 3167, 349, 1436, 1927, 12, 262, 689, 1801, 2577, 289, 524, 311, 1803, 602, 629, 650, 6785, 289, 1116, 1899, 5076, 327, 2841, 2238, 4422, 12, 1888, 2182, 289, 734, 6524, 602, 719, 354, 1284, 493, 5184, 382, 84, 9059, 2744, 289, 1765, 5022, 12, 288, 689, 10539, 12, 635, 1567, 5184, 382, 84, 5022, 363, 69, 14, 71, 14, 524, 493, 438, 262, 1025, 7817, 13398, 756, 14398, 602, 2195, 14, 18459, 10565, 2914, 690, 1805, 14, 1023, 354, 1693, 647, 281, 262, 41574, 258, 3052, 12, 1469, 349, 629, 513, 2820, 289, 3965, 354, 14, 199, 3132, 13194, 7976, 83, 262, 15125, 7154, 14, 361, 1227, 639, 349, 432, 262, 1025, 650, 289, 3825, 487, 957, 660, 289, 3187, 2238, 14, 1226, 382, 261, 25895, 12, 288, 493, 382, 261, 1092, 5639, 526, 13, 25179, 288, 1659, 2338, 89, 14, 362, 4936, 650, 289, 1372, 1166, 352, 602, 12, 4045, 735, 354, 349, 3630, 289, 9280, 12, 288, 853, 602, 289, 1177, 9194, 327, 262, 1863, 1115, 311, 900, 9860, 538, 1073, 7220, 650, 14, 2094, 918, 354, 438, 650, 289, 1888, 602, 2182, 288, 2967, 570, 13, 43672, 734, 284, 262, 4417, 5614, 14, 654, 311, 258, 948, 332, 501, 1116, 650, 288, 6740, 650, 284, 262, 33650, 4669, 602, 1352, 660, 289, 1426, 3496, 327, 2238, 311, 650, 808, 4746, 14, 199, 3132, 15289, 343, 1226, 2084, 14, 1226, 713, 289, 750, 258, 25374, 352, 602, 288, 911, 647, 752, 262, 4112, 14, 4220, 382, 84, 34138, 357, 4096, 653, 262, 3905 ]

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

[ 962, 2086, 14, 21984, 332, 262, 3905, 501, 432, 310, 2086, 4472, 262, 918, 354, 710, 524, 356, 538, 5570, 332, 343, 902, 343, 356, 311, 10504, 288, 2086, 333, 650, 12, 332, 356, 311, 17321, 14, 507, 262, 3119, 12, 310, 4707, 289, 44037, 1888, 288, 3005, 258, 2082, 281, 2182, 1, 4595, 524, 5062, 2799, 713, 289, 310, 284, 262, 1047, 48191, 31, 3933, 354, 1285, 713, 289, 956, 2872, 14, 4595, 1026, 11225, 438, 289, 310, 4707, 31, 1852, 332, 3205, 6555, 493, 349, 3426, 2285, 288, 12, 13530, 12, 1480, 992, 3446, 501, 848, 602, 1563, 3088, 12, 4595, 524, 354, 1465, 7000, 579, 8289, 33860, 357, 3352, 332, 713, 289, 647, 352, 602, 31, 3933, 356, 382, 83, 976, 493, 524, 432, 3807, 568, 333, 1765, 262, 1423, 281, 262, 1160, 311, 2700, 14, 654, 311, 914, 258, 27564, 538, 354, 853, 262, 2323, 14, 199, 3132, 17161, 32928, 14, 4612, 262, 3905, 520, 634, 4779, 12, 1803, 21673, 6568, 289, 262, 1036, 14, 1023, 258, 24131, 12, 2235, 487, 3481, 357, 6251, 2156, 1193, 1567, 579, 262, 2422, 327, 951, 552, 10710, 14, 1052, 900, 629, 650, 354, 4880, 493, 349, 10064, 1365, 28329, 357, 6846, 776, 12, 310, 2804, 538, 5388, 288, 848, 2049, 638, 349, 4986, 327, 3872, 14, 4879, 40574, 14, 1236, 822, 328, 1193, 1274, 289, 4319, 5722, 12, 2435, 2317, 12, 11090, 12, 3173, 12, 25403, 12, 288, 45887, 2477, 14, 2042, 1193, 5364, 12, 3219, 11633, 12, 288, 1489, 13, 2822, 8161, 2522, 822, 2162, 354, 693, 12, 354, 1136, 40574, 14, 199, 1683, 354, 349, 2456, 445, 4533, 12, 7823, 4630, 445, 2403, 289, 716, 48803, 445, 2763, 12999, 5483, 432, 670, 487, 10468, 559, 625, 7683, 3417, 2, 8275, 595, 7823, 4397, 468, 719, 354, 3343, 4039, 262, 5444, 3822, 281, 487, 10468, 288, 354, 1261, 935, 445, 4533, 14, 199, 9328, 281, 8976, 199, 34, 1482, 23307, 311, 351, 4169, 17930, 327, 10317, 1032, 3971, 14, 25579, 16112, 311, 1092, 891, 284, 837, 13, 505, 40373, 288, 6532, 14, 25579, 2755, 1485, 351, 5027, 2033, 281, 616, 289, 2046, 2773, 288, 311, 1098, 10540, 289, 12867, 284, 6189, 289, 14659, 1774, 14, 199, 6417, 41, 288, 426, 4420, 199, 6417, 41, 363, 68, 1584, 542, 9482, 9, 288, 426, 4420, 363, 38502, 542, 1464, 9, 349, 262, 1127, 281, 12270, 284, 351, 9482, 281, 2665, 288, 262, 1127, 281, 1602, 262, 8307, 12017, 262, 2145, 284, 258, 1464, 6925, 14, 1295, 5731, 349, 3636, 281, 262, 1673, 281, 1020, 4866, 402, 262, 8812, 559, 8307, 14, 362, 2650, 262, 1673, 281, 1020, 332, 311, 8891, 12, 262, 513, 9130, 288, 9607, 262, 2145, 412, 310, 19689, 14, 1583, 4033, 2665, 12, 9283, 288, 7939, 6532, 670, 7985, 289, 1010, 17768, 281, 1339, 343, 493, 349, 9064, 416, 262, 10114, 2145, 14, 199, 18656, 7439, 288, 10850, 415, 17588, 9283, 6532, 343, 808, 343, 10850, 415, 17588, 7939, 6532, 349, 909, 2445, 12, 538, 629, 837, 13, 505, 3554, 349, 5602, 281, 9655, 12, 20847, 357, 907, 4108, 415, 17588, 10114, 10509, 14, 199, 461, 13625, 3650, 15, 18, 357, 18796, 15, 18, 414, 262, 18012, 327, 15405, 559, 1464, 4135, 281, 2420, 5722, 14, 362, 18796, 15, 18, 14146, 288, 8812, 13478, 540, 4226, 352, 356, 14, 18796, 15, 18, 13478, 3538, 262, 14146, 288, 8812, 289, 258, 2435, 288, 349, 1770, 2442, 13, 43679, 333, 1817, 559, 1744, 822, 12170, 327, 40373, 288, 2424, 327, 6532, 14, 3013, 17294, 2888, 15881, 1261, 1485, 18796, 15, 18, 13478, 12, 538, 351, 2469, 1127, 281, 40373, 288, 6532, 349, 1059, 17375, 13478, 14, 199, 36640, 27932, 363, 25532, 9, 311, 258, 10317, 3344, 1774, 14, 5370, 14659, 1774, 2919, 40373, 288, 6532, 289, 5722, 1323, 27395, 15306, 14, 199, 461, 17375, 363, 47308, 42456, 19257, 9, 2321, 311, 258, 2445, 339, 15, 47, 8188, 738, 327, 10581, 5722, 288, 11333, 790, 357, 536, 3266, 14, 617, 311, 5602, 281, 6260, 616, 289, 26176, 291, 28864, 13, 325, 1415, 13829, 3266, 9528, 14, 362, 5444, 17375, 428, 14, 16, 17930, 412, 5357, 34041, 45, 28751, 1032, 3971, 17902, 14, 507, 1515, 12, 17375, 2336, 12763, 13, 420, 13, 8709, 8386, 289, 1228, 3505, 1861, 1106, 262, 2435, 311, 11767, 333, 14, 5367, 12, 748, 14146, 288, 6532, 670, 262, 17375, 8188, 14, 1118, 28696, 3318, 363, 1118, 28696, 32770, 9, 199, 461, 4245, 12, 9268, 3621, 281, 351, 199, 36512, 14, 654, 311, 258, 826, 30521, 281, 262, 513, 1937, 18473, 7654, 199, 51, 11216, 47, 2870, 380, 19194, 13, 3067, 52, 38526, 199, 15235, 7274, 13278, 5108, 12239, 199, 13, 262, 5641, 3621, 281, 1765, 27, 258, 37004, 3146, 3621, 27, 625, 6847, 13719, 289, 258, 1189, 843, 993, 840, 4049, 262, 2178, 6947, 2, 199, 33, 2631, 788, 74, 311, 9851, 3318, 284, 2439, 12, 289, 336, 1179, 489, 855, 826, 725, 74, 307, 1179, 260, 12, 47699, 826, 725, 74, 311, 258, 577, 281, 788, 74, 23743, 826, 725, 74, 311, 4472, 3318, 284, 2439, 14, 199, 8, 4023, 309, 32770, 8733, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 4023, 8733, 29757, 18108, 34, 42, 8733, 27800, 42, 9, 199, 8, 1118, 28696, 32770, 8733, 29757, 18108, 34, 42, 8733, 4212, 39, 5285, 14782, 14782, 199, 33, 2631, 788, 74, 311, 4472, 3318, 284, 2439, 12, 289, 336, 1179, 489, 855, 265, 1054, 14227, 74, 307, 1179, 260, 12, 47699, 265, 1054, 14227, 74, 311, 4472, 3318, 284, 2439, 23743, 265, 1054, 14227, 74, 311, 432, 3994, 289, 788, 74, 14, 199, 8, 1118, 28696, 32770, 8733, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 1118, 28696, 32770, 8733, 46016, 27800, 42, 8733, 4212, 39, 5285, 9, 199, 8, 35876, 8733, 46016, 27800, 42, 8733, 27800, 42, 14782, 14782, 14782, 199, 2, 1954, 47699, 563, 470, 1179, 650, 298, 65, 2, 311, 3994, 289, 2439, 31497, 391, 73, 2577, 311, 4472, 3318, 284, 2439, 994, 650, 14, 199, 8, 8266, 38, 78, 8733, 9239, 5544, 8733, 52, 25448, 9, 199, 8, 1118, 28696, 32770, 8733, 9239, 5544, 8733, 4212, 39, 5285, 14782, 9, 5888, 586, 11304, 822, 262, 5137, 4509, 281, 2698, 199, 815, 339, 3422, 79, 524, 8519, 354, 501, 2253, 352, 258, 9601, 12970, 363, 34, 587, 4206, 756, 357, 258, 2520, 12970, 363, 41, 5887, 79, 756, 357, 907, 258, 1472, 4259, 12970, 352, 258, 6262, 14319, 363, 44369, 2834, 595, 1239, 501, 310, 4318, 661, 12523, 12, 500, 284, 552, 3466, 14, 10731, 262, 3666, 281, 36777, 11311, 332, 747, 552, 4393, 10047, 14, 3918, 12, 1597, 262, 3666, 281, 36777, 16834, 2253, 284, 536, 1919, 14, 362, 3438, 412, 513, 2996, 2955, 6044, 1664, 635, 1005, 1832, 616, 284, 262, 1478, 281, 6916, 14, 362, 23248, 5329, 283, 7477, 343, 258, 5391, 288, 8373, 1189, 27, 635, 5329, 283, 12, 11904, 2471, 2698, 327, 1582, 14, 32609, 2146, 401, 14270, 2919, 1005, 289, 1705, 474, 2744, 288, 2253, 2456, 1137, 1758, 14, 33852, 262, 524, 8519, 900, 2253, 3292, 356, 4422, 327, 262, 1863, 1493, 14, 199, 26209, 3863, 12, 302, 586, 11304, 2318, 416, 262, 1747, 288, 1323, 22727, 2698, 356, 501, 310, 742, 351, 8587, 20916, 14, 199, 13, 1733, 333, 650, 14, 199, 13, 2479, 432, 848, 1160, 7039, 14, 199, 13, 39185, 288, 17244, 17028, 1175, 310, 2189, 1707, 288, 500, 17506, 4463, 14, 199, 13, 19089, 10095, 1073, 8564, 14, 199, 13, 328, 12970, 803, 310, 1523, 786, 288, 2991, 284, 262, 1025, 1158, 14, 199, 13, 6232, 3012, 284, 289, 262, 524, 8519, 14, 199, 13, 2479, 432, 3211, 37122, 14, 199, 13, 16903, 288, 5329, 289, 33196, 6057, 14, 199, 13, 8912, 6429, 357, 13170, 258, 12970, 2044, 33196, 6057, 14, 199, 13, 7154, 2253, 12, 310, 2049, 487, 12970, 311, 284, 1432, 3622, 14, 199, 13, 7405, 262, 35001, 1404, 73, 14, 199, 13, 9585, 356, 409, 1468, 23421, 4685, 363, 23611, 4883, 1878, 281, 3466, 416, 39049, 6057, 9, 352, 262, 8886, 289, 262, 2902, 14, 199, 13, 7758, 5711, 258, 12970, 1323, 262, 7177, 559, 8289, 14, 199, 13, 2479, 432, 14841, 357, 1969, 653, 726, 12970, 14, 199, 13, 362, 5263, 1175, 310, 16296, 288, 19126, 14, 199, 13, 21623, 262, 2479, 8519, 4422, 327, 942, 590, 2253, 900, 354, 14, 199, 13, 14779, 12, 4916, 12, 288, 6310, 349, 432, 3696, 333, 262, 2479, 8519, 5263, 14, 199, 13, 1544, 333, 262, 2253, 5263, 524, 432, 438, 3268, 11496, 536, 622, 221, 518, 20071, 2264, 4983, 14, 199, 13, 14505, 262, 3438, 281, 726, 5885, 357, 1658, 12, 357, 281, 1952, 289, 3689, 1435, 14, 199, 13, 2479, 432, 3689, 1323, 8289, 14, 199, 13, 2479, 432, 3025, 635, 3438, 311, 5763, 14, 199, 13, 15425, 262, 3438, 14, 199, 13, 12648, 2698, 289, 536, 221, 518, 318, 20633, 363, 31199, 9, 199, 13, 2479, 432, 2827, 3012, 3074, 1582, 14, 199, 13, 2479, 432, 524, 3486, 332, 619, 10718, 357, 33193, 258, 8303, 17764, 357, 48903, 14, 13, 11571, 258, 2085, 327, 262, 11948, 4726, 14, 199, 4987, 362, 27505, 3213, 9100, 281, 2024, 398, 14, 16, 14, 5132, 26, 199, 46, 17603, 467, 21045, 46, 492, 64, 15335, 10, 467, 2, 60, 363, 78, 59, 69, 62, 61, 75, 64, 84, 59, 94, 69, 61, 82, 10, 59, 29, 69, 61, 78, 19241, 307, 14, 1534, 35, 70, 14, 426, 14, 18509, 467, 14, 4399, 437, 17603, 11109, 363, 29879, 2362, 328, 6777, 13, 39860, 2646, 281, 34189, 14, 1534, 36061, 24052, 61, 4504, 18509, 467, 12, 262, 16949, 2271, 3736, 281, 262, 3081, 3003, 2942, 633, 539, 523, 4276, 18442, 339, 67, 19532, 27, 2882, 551, 1250, 20689, 16949, 14, 617, 311, 1033, 643, 258, 5947, 16861, 488, 311, 4990, 22155, 416, 13256, 14, 1534, 36061, 24052, 61, 18377, 981, 638, 349, 748, 1602, 635, 2714, 9037, 1311, 357, 3168, 3282, 13, 6961, 14, 362, 1692, 720, 520, 6324, 9264, 289, 1352, 288, 4123, 12, 538, 343, 378, 41641, 12, 7766, 2714, 2705, 289, 310, 258, 28156, 2770, 327, 1326, 12, 343, 808, 14, 13730, 352, 962, 258, 5886, 3168, 12, 638, 349, 11447, 635, 8847, 2213, 412, 36271, 258, 720, 288, 1009, 1148, 1166, 258, 6725, 2383, 14, 1265, 12, 8847, 2213, 311, 258, 1472, 2577, 797, 356, 311, 432, 742, 26658, 12, 538, 1861, 262, 918, 262, 1831, 30426, 14, 199, 1759, 258, 1692, 2278, 12, 22620, 1508, 5772, 258, 577, 284, 1326, 752, 12562, 288, 911, 2700, 14, 328, 720, 9012, 1382, 720, 5355, 258, 3348, 284, 258, 1627, 918, 288, 1952, 1661, 12, 564, 262, 12562, 720, 12678, 262, 1027, 2537, 14, 12229, 15485, 7774, 414, 258, 3087, 8111, 284, 445, 1374, 14, 2426, 4055, 27629, 79, 5028, 1940, 891, 332, 262, 1692, 720, 311, 6110, 7048, 402, 12562, 536, 382, 83, 3872, 14, 1544, 258, 720, 9012, 1765, 332, 27157, 597, 2744, 12, 378, 23195, 262, 1020, 12, 7256, 289, 14039, 356, 12, 288, 911, 8572, 11886, 289, 2832, 262, 2537, 719, 356, 311, 1238, 352, 1661, 14, 199, 48813, 727, 1508, 288, 8847, 2213, 349, 777, 885, 1567, 797, 552, 962, 262, 12562, 281, 6414, 288, 911, 262, 720, 11653, 289, 14039, 602, 1590, 333, 258, 720, 382, 83, 1011, 1625, 501, 14, 27254, 2213, 311, 262, 685, 281, 552, 720, 24244, 283, 1382, 289, 1012, 8907, 14, 9711, 262, 2537, 962, 38812, 311, 24740, 357, 36456, 12, 717, 343, 6310, 15024, 357, 4916, 3940, 14, 199, 6342, 264, 18962, 288, 262, 10103, 199, 19218, 1940, 1037, 332, 8847, 2213, 9037, 262, 918, 680, 9758, 13102, 12, 488, 4575, 289, 1437, 2255, 579, 262, 1672, 281, 8847, 2213, 288, 262, 2751, 720, 14, 3661, 289, 1940, 416, 9161, 1358, 12, 8847, 2213, 520, 351, 888, 333, 1831, 6117, 2697, 284, 1413, 288, 7428, 6616, 12, 1924, 635, 262, 6618, 382, 83, 3394, 349, 1161, 14, 22720, 289, 3246, 284, 262, 1019, 12, 13848, 540, 992, 513, 1739, 289, 1116, 4362, 493, 710, 432, 5692, 1116, 333, 474, 1011, 635, 352, 3394, 14, 10103, 6117, 540, 513, 13140, 284, 262, 7428, 3453, 281, 262, 1831, 12, 15467, 5217, 994, 409, 1413, 6414, 14, 199, 6342, 264, 2213, 412, 310, 1788, 327, 1692, 3246, 289, 3374, 352, 12, 288, 1508, 1919, 289, 1527, 543, 6009, 511 ]

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

[ 357, 2340, 2213, 13, 17745, 4913, 412, 1426, 10897, 14, 1513, 9471, 8847, 2213, 311, 432, 914, 579, 4728, 543, 6009, 1198, 538, 660, 262, 1831, 3914, 14, 4382, 332, 438, 7284, 6607, 1573, 4030, 284, 474, 22484, 27555, 12, 1750, 352, 536, 1574, 281, 262, 1831, 12, 349, 1437, 9955, 289, 5073, 8847, 2213, 14, 3806, 19210, 12, 262, 22484, 27555, 281, 262, 1831, 750, 5396, 12, 4328, 31127, 1273, 284, 262, 2439, 289, 438, 258, 13312, 281, 7894, 39138, 12, 488, 1050, 10371, 602, 288, 2540, 262, 22484, 27555, 289, 513, 4641, 6343, 352, 536, 1831, 4030, 14, 654, 2673, 262, 1692, 2278, 289, 750, 9310, 288, 1988, 13, 14072, 2286, 289, 5073, 8847, 2213, 14, 199, 20931, 352, 262, 22484, 27555, 9406, 289, 262, 1831, 288, 8847, 2213, 12, 536, 1940, 1037, 332, 262, 32546, 13617, 5772, 258, 1963, 284, 660, 9461, 3336, 289, 8847, 2213, 14, 3988, 343, 352, 262, 2506, 1019, 12, 957, 332, 540, 432, 4609, 289, 8847, 2213, 683, 2650, 16112, 1307, 262, 1831, 343, 808, 343, 7845, 289, 5073, 8847, 2213, 14, 199, 20981, 752, 27254, 18962, 199, 461, 20799, 829, 349, 8216, 829, 14, 362, 1692, 2278, 311, 1092, 1959, 752, 1980, 1861, 1690, 289, 21559, 12, 18590, 289, 714, 3394, 288, 3967, 5987, 12, 288, 1508, 660, 289, 848, 4254, 327, 2238, 14, 19297, 412, 2967, 258, 4669, 288, 13895, 1158, 289, 1692, 3246, 635, 7336, 352, 8847, 2213, 402, 7153, 262, 1597, 26, 199, 42785, 316, 26, 11207, 332, 445, 311, 258, 650, 327, 262, 720, 289, 4106, 288, 1352, 660, 289, 310, 597, 1011, 1313, 311, 976, 14, 617, 311, 1669, 289, 1693, 647, 288, 1228, 262, 720, 289, 848, 9980, 327, 3424, 12, 1924, 635, 354, 1321, 289, 2967, 4663, 357, 1311, 4094, 288, 3872, 12, 538, 4887, 262, 720, 289, 647, 1166, 597, 1011, 2383, 311, 976, 14, 1023, 351, 2278, 12, 6909, 258, 4669, 1158, 719, 1567, 647, 5851, 539, 288, 962, 638, 289, 2967, 1164, 311, 5886, 14, 199, 25582, 356, 5422, 26, 1023, 351, 2278, 12, 1116, 258, 5388, 1302, 333, 3666, 288, 6275, 352, 487, 720, 14, 3220, 354, 2252, 1422, 4568, 487, 720, 35271, 343, 3394, 12, 354, 412, 1116, 258, 1302, 333, 487, 1422, 281, 487, 720, 14, 25693, 1781, 4158, 12, 3666, 12, 288, 6285, 10801, 2698, 288, 4330, 12, 488, 1175, 310, 10705, 284, 2647, 14, 2479, 432, 310, 10844, 289, 1177, 5638, 352, 487, 720, 1435, 579, 1919, 289, 5073, 8847, 2213, 14, 15050, 333, 660, 356, 501, 1242, 487, 720, 382, 83, 6443, 635, 378, 16888, 289, 1527, 543, 6009, 511, 409, 262, 1025, 650, 288, 44948, 1148, 332, 356, 412, 310, 10504, 1323, 4494, 13295, 357, 8657, 1988, 13, 23060, 14, 199, 28964, 15036, 4405, 26, 6697, 1503, 11540, 343, 258, 8511, 12, 848, 650, 963, 2273, 327, 258, 1503, 4576, 357, 3348, 650, 12, 288, 1196, 1503, 568, 639, 288, 47391, 5489, 14, 42530, 2066, 650, 352, 2845, 3554, 2579, 2537, 288, 3943, 6066, 281, 3976, 327, 8849, 579, 735, 311, 7475, 409, 1042, 288, 352, 3394, 14, 199, 1683, 409, 726, 650, 638, 349, 4674, 258, 720, 311, 4231, 2697, 284, 24740, 2537, 1690, 289, 8847, 2213, 12, 1888, 327, 734, 14, 19956, 332, 6765, 1582, 284, 4669, 258, 720, 11002, 352, 8847, 2213, 12, 717, 343, 258, 1503, 3116, 12, 4904, 23139, 12, 357, 536, 14291, 4053, 12, 1026, 432, 1530, 332, 262, 2278, 311, 432, 9955, 289, 4557, 734, 262, 720, 12, 538, 332, 1229, 1582, 284, 21129, 258, 720, 12, 332, 619, 310, 333, 262, 32876, 281, 13925, 1166, 262, 4056, 2383, 12, 311, 5886, 14, 199, 3582, 14294, 22921, 3785, 14, 14294, 311, 351, 1003, 17468, 288, 1811, 14, 16420, 14294, 382, 83, 3332, 1469, 14, 199, 6128, 2941, 16209, 48, 84, 2089, 47224, 17142, 26, 199, 48, 84, 2089, 47224, 17142, 2632, 3943, 1020, 333, 34380, 2089, 47224, 17142, 284, 2632, 12, 34380, 2089, 47224, 17142, 1555, 2632, 12, 34380, 2089, 47224, 17142, 4833, 284, 2632, 12, 14253, 12, 30008, 12, 44846, 12, 41956, 1386, 42375, 12, 34380, 2089, 47224, 36838, 284, 2632, 14, 199, 48, 84, 2089, 311, 262, 2155, 1922, 327, 4902, 12929, 281, 262, 4490, 33294, 12, 258, 2304, 332, 619, 1551, 552, 357, 278, 5741, 10459, 14, 199, 461, 39063, 2089, 619, 310, 6269, 822, 284, 488, 262, 18306, 10190, 6797, 262, 16799, 27, 357, 3044, 822, 284, 488, 262, 18306, 3626, 6797, 262, 16799, 14, 199, 2172, 1026, 34380, 2089, 1484, 31, 199, 48, 84, 2089, 412, 1484, 409, 726, 1624, 14, 1544, 1301, 1562, 3050, 356, 311, 1250, 19124, 39063, 2089, 14, 1544, 1301, 284, 262, 9803, 356, 311, 1250, 7811, 39063, 2089, 14, 199, 1577, 2540, 34380, 2089, 31, 199, 3609, 262, 1479, 281, 19124, 39063, 2089, 311, 1092, 12339, 12, 262, 689, 1172, 2005, 311, 16884, 1326, 281, 262, 21106, 1565, 4077, 14, 362, 21106, 1565, 4077, 311, 262, 1488, 4077, 3496, 327, 47145, 262, 4490, 33294, 14, 507, 3246, 39063, 2089, 311, 2755, 1690, 289, 26617, 2870, 373, 72, 1792, 530, 281, 262, 21106, 1565, 4077, 14, 617, 619, 551, 1484, 1597, 4431, 289, 262, 4077, 343, 900, 18306, 5885, 288, 3002, 24132, 14, 45684, 356, 619, 310, 1690, 289, 1018, 483, 784, 518, 964, 4973, 363, 258, 2304, 843, 638, 311, 10420, 7975, 281, 4999, 595, 199, 4811, 803, 34380, 2089, 310, 4086, 31, 199, 10786, 352, 1677, 39063, 2089, 619, 713, 289, 24942, 474, 1600, 1047, 643, 258, 23558, 13, 1156, 2531, 12, 10920, 474, 33294, 352, 258, 8105, 12, 357, 5609, 474, 40228, 284, 351, 3672, 289, 935, 416, 694, 474, 4902, 12929, 33294, 14, 4382, 352, 19124, 39063, 2089, 619, 551, 438, 5759, 309, 16985, 9854, 76, 1433, 89, 3002, 19241, 3135, 66, 44412, 357, 2808, 688, 363, 5135, 270, 332, 349, 432, 4557, 14797, 357, 4961, 756, 31446, 7578, 12, 3929, 43294, 12, 357, 25934, 4054, 14, 507, 1515, 12, 4902, 12929, 281, 262, 33294, 619, 949, 284, 351, 18480, 1263, 11296, 5442, 288, 1788, 1371, 981, 14, 507, 7884, 39063, 2089, 638, 311, 258, 2076, 281, 262, 4490, 2105, 281, 4054, 402, 262, 4902, 12929, 4490, 18306, 14, 199, 1844, 311, 34380, 2089, 4086, 31, 199, 461, 3002, 2304, 34380, 2089, 311, 675, 465, 402, 258, 8967, 387, 3852, 1250, 39063, 2089, 4460, 14, 199, 48, 84, 2089, 311, 4086, 32558, 12, 352, 262, 1781, 4709, 1590, 333, 262, 9215, 281, 262, 39063, 2089, 288, 262, 3588, 281, 262, 21106, 1565, 4077, 14, 1052, 262, 39063, 2089, 311, 432, 3044, 12, 4460, 311, 2755, 4237, 635, 262, 720, 311, 831, 673, 288, 854, 829, 281, 1624, 363, 1054, 625, 9436, 13, 10868, 2, 829, 595, 1444, 12, 635, 262, 39063, 2089, 28795, 352, 262, 720, 559, 4054, 12, 4460, 311, 4237, 409, 351, 3649, 1624, 289, 1228, 1432, 3646, 1326, 14, 34380, 2089, 6864, 311, 1770, 4779, 694, 1937, 18833, 284, 8578, 288, 1692, 957, 288, 694, 1666, 18833, 284, 3246, 14, 199, 1577, 289, 3136, 900, 4460, 8733, 199, 5008, 1905, 501, 16005, 262, 4837, 909, 808, 288, 438, 258, 3369, 5549, 14, 11186, 21455, 619, 713, 289, 310, 3721, 289, 262, 9717, 33294, 327, 262, 753, 8496, 2536, 1597, 4460, 14, 22056, 10713, 30045, 698, 3721, 289, 262, 25154, 349, 2672, 4262, 14, 362, 12637, 281, 262, 33294, 501, 1092, 310, 4156, 16628, 12, 1244, 284, 629, 1948, 36618, 288, 9514, 501, 19524, 445, 4510, 14, 3013, 1905, 501, 438, 30797, 805, 332, 713, 8555, 579, 258, 2273, 1597, 4460, 14, 507, 957, 12, 9001, 528, 30797, 805, 349, 1092, 738, 14, 199, 461, 36618, 288, 9514, 2211, 352, 262, 4460, 501, 1770, 10597, 284, 777, 289, 1170, 3263, 14, 2008, 1905, 619, 713, 15451, 281, 262, 30797, 805, 289, 1437, 8713, 262, 18306, 4923, 14, 654, 619, 357, 619, 432, 1885, 3027, 13704, 14791, 357, 258, 6889, 289, 262, 5027, 3466, 14, 199, 18682, 17142, 34380, 2089, 12, 48, 84, 2089, 47224, 12, 2632, 9262, 15209, 34380, 2089, 12, 34380, 2089, 47224, 17142, 12, 34380, 2089, 47224, 12, 2632, 34380, 2089, 47224, 17142, 12, 2632, 9262, 34380, 2089, 47224, 17142, 12, 7685, 9262, 24331, 34380, 2089, 47224, 30008, 33663, 2632, 7685, 9262, 34380, 2089, 47224, 17142, 7932, 12, 37211, 34380, 2089, 47224, 7932, 30008, 12, 2092, 5922, 12, 34380, 2089, 26628, 392, 17142, 12, 24865, 345, 318, 17142, 12, 39791, 12929, 12, 9014, 1775, 34380, 2089, 47224, 17142, 12, 2632, 34380, 2089, 47224, 17142, 40888, 12, 34380, 2089, 47224, 17142, 20288, 199, 19921, 26, 3891, 17359, 4618, 3798, 37912, 33582, 363, 1249, 749, 14, 1583, 1220, 14174, 14, 3599, 52, 9, 199, 39277, 3516, 4397, 32, 7196, 14, 1236, 363, 8014, 29045, 9, 199, 8, 14725, 327, 2873, 1905, 6989, 1579, 284, 2632, 9, 15101, 14, 1642, 12530, 1028, 199, 3086, 13, 7200, 10760, 363, 34845, 9036, 66, 9, 589, 548, 4585, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 363, 7128, 4057, 9, 17, 12, 18, 311, 258, 2266, 12, 2578, 288, 1801, 1440, 289, 3549, 327, 4003, 23887, 284, 262, 3530, 2278, 1822, 14, 199, 2437, 619, 310, 7000, 3553, 12, 625, 6603, 412, 6385, 333, 552, 1452, 1485, 354, 352, 726, 1020, 579, 4003, 12, 900, 500, 12, 384, 524, 432, 647, 1161, 327, 5983, 5157, 281, 650, 6385, 333, 552, 1452, 8036, 199, 29616, 12, 343, 258, 3775, 384, 349, 258, 7691, 661, 12, 1776, 3920, 12, 680, 904, 1776, 284, 5160, 12, 538, 638, 349, 9327, 540, 384, 524, 713, 289, 3691, 2123, 14677, 1164, 14, 362, 689, 4750, 1602, 349, 635, 384, 349, 8367, 680, 6742, 6513, 2074, 14, 199, 16557, 5660, 643, 258, 7028, 7032, 357, 616, 5179, 258, 20431, 710, 310, 1788, 12, 719, 432, 5678, 289, 524, 1323, 262, 2291, 289, 3691, 2123, 14677, 1164, 327, 258, 1714, 1673, 281, 650, 14, 362, 2291, 289, 5941, 416, 777, 13, 289, 552, 13, 4687, 6385, 311, 2262, 289, 1497, 6484, 12, 14327, 20773, 288, 8138, 14, 199, 1759, 384, 693, 12, 262, 26348, 4224, 3206, 258, 1627, 1673, 281, 2123, 14677, 1164, 284, 1478, 289, 310, 1533, 289, 2966, 6394, 1750, 284, 258, 2708, 2438, 14, 1544, 262, 9927, 281, 262, 4224, 349, 21278, 12, 2076, 281, 4003, 3087, 289, 7450, 619, 1484, 14, 199, 1201, 311, 1924, 2595, 284, 3530, 2436, 3147, 26348, 4224, 311, 10403, 1690, 289, 2708, 288, 5231, 7186, 1861, 332, 1484, 343, 258, 949, 281, 8732, 14, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 3636, 45610, 7688, 363, 73, 14, 69, 1065, 4003, 9, 288, 311, 513, 1788, 289, 1497, 1690, 289, 262, 5737, 3170, 281, 1164, 2262, 289, 524, 262, 1077, 14, 13730, 352, 2156, 536, 3326, 281, 4003, 288, 10624, 12, 12388, 281, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 414, 7460, 327, 5533, 2285, 6994, 8228, 289, 15587, 829, 1436, 288, 891, 289, 438, 625, 11552, 2, 9857, 7416, 25064, 26445, 363, 3201, 35, 2033, 2171, 1556, 5409, 289, 1556, 16, 5058, 595, 10410, 421, 3813, 37300, 19356, 416, 1735, 14, 7187, 289, 1735, 14, 9292, 14, 19, 199, 2358, 1497, 262, 1077, 12, 262, 2804, 311, 17976, 289, 1302, 333, 552, 1452, 1323, 1164, 281, 262, 4490, 30055, 357, 3812, 1613, 281, 262, 570, 6592, 279, 1452, 1461, 262, 18944, 1452, 14, 362, 2804, 4905, 262, 1077, 352, 262, 3371, 1558, 12, 12523, 2162, 357, 5945, 333, 963, 1878, 352, 597, 24708, 6120, 4961, 6527, 14, 199, 461, 2804, 311, 911, 17976, 289, 2091, 597, 3371, 288, 3691, 4003, 327, 616, 289, 2046, 7252, 14, 17, 199, 461, 1127, 281, 7252, 332, 262, 2804, 15, 1204, 721, 311, 1533, 289, 3691, 445, 2531, 311, 4866, 14, 14344, 1299, 357, 258, 2195, 1077, 311, 4866, 719, 366, 9, 262, 3084, 20579, 262, 1164, 1452, 27, 428, 9, 49120, 3590, 27, 673, 9, 262, 3084, 20579, 262, 5263, 12, 357, 832, 9, 262, 5883, 5711, 1765, 327, 1164, 14, 199, 34814, 9516, 352, 3371, 1558, 349, 26, 3678, 13, 7612, 336, 2904, 15, 2899, 14, 21, 14515, 1220, 14, 22, 83, 12, 4673, 13, 6661, 336, 2904, 15, 2119, 14, 18, 14515, 1267, 14, 19, 83, 14, 20300, 9516, 327, 3371, 5724, 349, 26, 3678, 13, 7612, 336, 2904, 15, 1249, 14, 18, 14515, 1220, 14, 22, 83, 12, 4673, 13, 6661, 336, 2904, 15, 20, 14, 19, 14515, 673 ]

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

[ 14, 16, 83, 14, 20, 47860, 288, 6371, 2674, 4003, 1602, 333, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 284, 6994, 1624, 3678, 289, 16225, 829, 327, 8370, 288, 32574, 303, 5161, 6596, 14, 199, 15358, 262, 1761, 281, 445, 1032, 12, 638, 3913, 289, 310, 629, 2901, 284, 1972, 2436, 670, 474, 8370, 8576, 474, 32574, 303, 5161, 1452, 284, 262, 17746, 288, 7903, 1624, 2071, 14, 199, 2172, 1059, 445, 1077, 12, 1952, 1905, 3559, 735, 1452, 493, 710, 690, 289, 1302, 333, 710, 310, 3351, 343, 354, 1321, 289, 1824, 474, 625, 9668, 2, 2878, 14, 199, 1406, 520, 634, 2674, 284, 262, 4247, 332, 2436, 1756, 474, 8214, 281, 23907, 351, 4431, 1690, 289, 258, 2077, 402, 777, 1602, 719, 493, 349, 6271, 289, 1497, 258, 2064, 13, 7200, 10760, 589, 548, 4585, 327, 2156, 7252, 14, 21, 3160, 1940, 13865, 262, 2064, 13, 7200, 10760, 589, 548, 4585, 438, 634, 4192, 284, 3530, 3246, 289, 2363, 11956, 4003, 900, 3588, 2520, 12, 22, 2878, 281, 2074, 281, 2879, 2245, 288, 4807, 24663, 3326, 14, 23, 199, 26919, 12, 9517, 1941, 281, 536, 4003, 3636, 717, 343, 262, 312, 5582, 14328, 16192, 14701, 6868, 41775, 9949, 24, 288, 22357, 23618, 18789, 25, 10773, 570, 26105, 2123, 14677, 18944, 1602, 281, 1143, 7252, 288, 854, 7252, 6925, 12, 327, 3530, 2436, 289, 310, 2196, 289, 438, 625, 5863, 2, 4003, 14, 199, 48205, 1537, 289, 3678, 1537, 281, 1762, 13, 36584, 9803, 2436, 2077, 963, 630, 12, 352, 748, 7872, 2973, 7450, 14, 1249, 3933, 7450, 349, 262, 3087, 1479, 281, 4431, 13, 3862, 5399, 284, 3530, 3246, 288, 258, 1677, 1479, 281, 8144, 284, 445, 1822, 12, 5610, 281, 7450, 288, 7180, 5885, 311, 258, 22721, 22154, 14, 1816, 199, 461, 2064, 13, 7200, 10760, 589, 548, 4585, 412, 310, 738, 343, 258, 2303, 12, 6799, 288, 2578, 918, 327, 19154, 289, 3549, 474, 1905, 15, 1204, 1463, 327, 2077, 4362, 288, 311, 2865, 9641, 643, 258, 5744, 6513, 6359, 327, 3530, 3246, 14, 199, 17, 14, 47860, 12, 423, 1065, 436, 764, 1354, 12, 361, 1065, 45593, 12, 423, 1065, 415, 25531, 12, 491, 1065, 1386, 1468, 346, 1282, 562, 12, 331, 14, 363, 20795, 595, 23618, 2878, 1573, 1557, 260, 20664, 1004, 9803, 1385, 14, 9582, 11929, 12, 14793, 8, 25, 756, 1182, 5132, 13, 4636, 22, 14, 199, 18, 14, 1057, 8076, 319, 12, 407, 1065, 1386, 361, 3785, 65, 13, 52, 7757, 360, 12, 361, 14, 363, 13700, 595, 25091, 2975, 327, 12745, 4003, 288, 26348, 23887, 14, 19699, 284, 12149, 10743, 20379, 377, 12, 1529, 8, 17, 756, 12914, 13, 7221, 14, 199, 19, 14, 1740, 4933, 555, 13347, 12, 426, 1065, 18989, 991, 12, 441, 1065, 4984, 2913, 12, 361, 1065, 1386, 24515, 35088, 79, 12, 338, 14, 363, 14471, 595, 4433, 6986, 281, 1604, 2266, 12, 11854, 3326, 281, 4003, 288, 10624, 284, 2285, 9803, 6994, 14, 25063, 363, 35626, 280, 756, 1143, 8, 17, 756, 3986, 13, 5673, 14, 199, 20, 14, 28145, 23967, 12, 423, 1065, 441, 763, 260, 12, 368, 1065, 12457, 12, 328, 1065, 1386, 33829, 12, 491, 14, 363, 24584, 595, 26983, 560, 284, 32195, 4003, 1077, 8100, 352, 8732, 14, 9582, 11929, 12, 10400, 12, 1143, 8350, 13, 1249, 3841, 14, 199, 21, 14, 666, 475, 295, 12, 380, 1065, 24075, 12, 331, 1065, 7193, 3956, 12, 441, 1065, 39696, 35498, 1252, 12, 423, 1065, 1401, 358, 14, 363, 15207, 595, 2064, 13, 4687, 4003, 311, 351, 976, 27226, 281, 2528, 25417, 7450, 284, 3530, 5317, 14, 3606, 281, 262, 1378, 12149, 10743, 3923, 12, 5533, 12, 1182, 4241, 13, 23, 4817, 14, 199, 22, 14, 3068, 26624, 84, 12, 491, 1065, 338, 3532, 6602, 12, 415, 1065, 1386, 25181, 12, 331, 14, 363, 11945, 595, 7163, 281, 6985, 3588, 2520, 333, 6385, 4003, 12, 6204, 2871, 12, 288, 1372, 13, 1475, 13, 1079, 2878, 284, 3530, 3246, 14, 3606, 281, 12149, 890, 1392, 5110, 288, 2754, 12, 12024, 33, 8, 21, 756, 361, 46491, 13, 45, 44544, 14, 199, 23, 14, 426, 2723, 260, 12, 608, 1065, 9329, 78, 12, 496, 1065, 331, 3082, 374, 263, 12, 496, 1065, 1386, 28325, 1925, 12, 436, 14, 363, 15766, 595, 25091, 4003, 3326, 284, 15572, 13, 3322, 13, 10167, 284, 6557, 289, 2878, 12, 2074, 281, 2879, 2245, 288, 4807, 3326, 14, 30092, 3606, 281, 20379, 377, 4407, 729, 5110, 12, 4060, 8, 20, 756, 42405, 13, 43284, 14, 199, 24, 14, 312, 5582, 14328, 12, 361, 1065, 9961, 12, 312, 1065, 1386, 2243, 48843, 12, 423, 14, 363, 23309, 595, 11952, 1413, 5800, 327, 9803, 1905, 1590, 333, 1127, 281, 4312, 7863, 14, 1378, 3606, 281, 5110, 12, 4293, 12, 832, 3798, 13, 20, 5002, 14, 199, 25, 14, 22357, 12, 608, 1065, 1401, 358, 14, 363, 20795, 595, 31050, 4003, 284, 262, 9803, 26, 35813, 1326, 281, 351, 5324, 14, 4682, 991, 11929, 3449, 12, 10463, 8, 22, 756, 37542, 13, 19, 1816, 14, 199, 1249, 14, 11652, 23524, 12, 441, 1065, 1386, 6084, 2985, 12, 608, 14, 363, 11935, 595, 362, 25622, 281, 7450, 288, 26679, 1676, 14, 10157, 12149, 10743, 5110, 12, 933, 12, 31726, 13, 36339, 14, 199, 1816, 14, 1717, 7724, 4345, 14, 363, 10656, 595, 23680, 12947, 14, 617, 45498, 12, 13873, 26, 7925, 14, 199, 5652, 14, 10591, 311, 258, 1980, 13334, 284, 3268, 2253, 288, 4289, 281, 34405, 9582, 11929, 281, 3618, 12, 8493, 14, 2187, 13920, 11338, 327, 27514, 2616, 10508, 23034, 288, 8310, 12, 3619, 14, 2194, 14, 10591, 311, 551, 262, 1796, 281, 4318, 15811, 14, 3218, 21529, 2193, 311, 6277, 14, 20375, 313, 1839, 1101, 420, 8624, 14, 1236, 14, 2194, 14, 19531, 311, 351, 10252, 4825, 284, 262, 1980, 3473, 1448, 409, 262, 1358, 281, 2169, 5841, 6226, 289, 262, 1374, 281, 12556, 10743, 13292, 14, 2187, 13920, 11338, 327, 27514, 2616, 10508, 23034, 288, 8310, 284, 262, 1374, 281, 12556, 10743, 1731, 14, 199, 5036, 10474, 12013, 2099, 1721, 402, 6642, 1517, 9521, 199, 4879, 948, 11957, 11785, 14440, 289, 28123, 18333, 1210, 262, 689, 199, 35, 13025, 356, 625, 65, 1040, 753, 1969, 2044, 8146, 332, 21600, 28123, 2832, 289, 438, 7773, 327, 262, 1980, 3473, 493, 713, 1634, 5130, 426, 13645, 6331, 12, 9726, 12, 24232, 12, 9140, 12, 4289, 281, 262, 1378, 9582, 11929, 4061, 363, 5036, 10474, 756, 5962, 24527, 332, 262, 714, 14440, 948, 501, 1228, 258, 1677, 1127, 281, 21600, 1905, 289, 3524, 2342, 21145, 262, 1828, 17, 12, 23, 3181, 4554, 3199, 1342, 333, 21600, 3473, 7773, 14, 362, 714, 4837, 12, 14508, 402, 4141, 284, 262, 3504, 16317, 43688, 23503, 2377, 363, 10502, 22558, 13, 30891, 756, 501, 310, 1594, 289, 21600, 28123, 333, 3115, 2277, 694, 3666, 4331, 445, 2273, 402, 262, 10858, 327, 21600, 288, 21990, 7058, 363, 35, 5300, 595, 199, 2, 5036, 10474, 311, 7313, 402, 262, 714, 3473, 1342, 14440, 948, 1634, 13645, 6331, 954, 14, 625, 35, 5300, 520, 1033, 258, 1040, 3672, 289, 2739, 332, 21600, 28123, 590, 713, 262, 689, 1210, 349, 432, 28762, 402, 351, 16877, 1342, 1315, 199, 1759, 7305, 10474, 4262, 12, 262, 948, 2608, 11785, 14440, 288, 551, 11957, 14440, 289, 28123, 590, 349, 6904, 1048, 1980, 3473, 288, 4238, 1758, 19924, 363, 1054, 2342, 349, 3601, 4932, 694, 552, 1828, 17, 12, 23, 3181, 1342, 595, 199, 2, 1633, 438, 2457, 289, 935, 660, 808, 21600, 21783, 501, 310, 1533, 289, 2779, 288, 4122, 445, 948, 14, 3645, 719, 356, 1804, 808, 12, 4141, 742, 14508, 445, 714, 948, 752, 4195, 14, 4141, 1175, 2193, 445, 2664, 1094, 445, 630, 12, 288, 384, 349, 10059, 332, 445, 1805, 501, 6594, 289, 26029, 332, 493, 1175, 3626, 24886, 262, 9249, 288, 1485, 258, 513, 6142, 3294, 327, 21600, 28123, 18333, 1980, 3473, 1634, 13645, 6331, 3768, 14, 199, 461, 3473, 9249, 3118, 643, 888, 333, 2881, 14, 366, 12, 4195, 12, 11485, 21600, 7773, 333, 25928, 13292, 2342, 289, 1828, 17, 12, 23, 3181, 327, 1980, 3473, 288, 4238, 3473, 4932, 288, 1828, 17, 12, 23, 3181, 327, 15069, 3473, 14, 199, 461, 1378, 9582, 11929, 4061, 311, 258, 2144, 3540, 3607, 9107, 513, 622, 7024, 12, 1108, 2209, 14, 4714, 3311, 311, 289, 11385, 19648, 284, 1980, 3473, 2253, 12, 1121, 288, 1734, 14, 199, 4879, 32793, 23722, 28978, 2042, 10063, 199, 29543, 284, 6389, 349, 6007, 1972, 258, 714, 1643, 281, 40519, 501, 734, 15914, 1414, 327, 1905, 5401, 416, 1600, 288, 6380, 1833, 590, 540, 4086, 352, 4571, 3473, 12, 2112, 289, 258, 714, 1019, 363, 16662, 3606, 281, 21424, 36553, 10, 47520, 10, 46648, 12, 3633, 14, 366, 12, 4195, 595, 199, 31433, 1109, 1905, 12, 5401, 416, 19431, 28867, 311, 1092, 6567, 994, 258, 2809, 289, 487, 3116, 14, 9679, 2213, 311, 5120, 1059, 258, 30322, 1161, 487, 4480, 288, 258, 3505, 1250, 258, 444, 1655, 44318, 1961, 9240, 14, 2997, 3116, 619, 1888, 354, 289, 1372, 20100, 327, 2156, 3196, 1073, 12048, 487, 1400, 2213, 14, 199, 1683, 487, 1400, 2213, 2456, 311, 837, 12, 354, 501, 2833, 310, 3567, 289, 1629, 1047, 327, 9714, 1400, 2213, 13263, 14, 1052, 354, 438, 1170, 9549, 352, 12800, 653, 14940, 15, 4153, 6694, 40, 39, 12, 354, 501, 310, 6567, 352, 837, 1400, 2213, 14, 199, 3792, 661, 382, 83, 1400, 2213, 3671, 616, 635, 493, 349, 409, 262, 3116, 382, 83, 4065, 14, 1052, 487, 3116, 25239, 332, 619, 310, 7798, 12, 378, 357, 993, 619, 1888, 354, 289, 853, 629, 1400, 2213, 12800, 409, 1393, 14, 507, 629, 1948, 12, 378, 357, 993, 619, 3586, 332, 354, 5451, 351, 5759, 13606, 1400, 2213, 3462, 14, 654, 3505, 3636, 487, 1400, 2213, 5489, 2447, 262, 1115, 343, 354, 647, 579, 487, 2074, 14, 617, 311, 1770, 10457, 327, 2818, 2536, 12, 907, 1106, 9554, 14, 199, 13, 5954, 264, 26, 6673, 491, 14, 15956, 506, 73, 12, 8359, 199, 13, 5954, 13608, 26, 22816, 15, 8963, 822, 199, 13, 24690, 13608, 26, 18548, 15, 10152, 15, 8963, 822, 27184, 264, 487, 753, 1969, 289, 258, 1604, 13, 3322, 3617, 409, 2830, 22789, 7237, 4377, 199, 27184, 372, 5568, 258, 23331, 199, 43351, 311, 262, 1003, 281, 8585, 2980, 288, 8046, 4544, 12, 1805, 12, 9310, 12, 288, 1172, 2497, 289, 848, 1567, 332, 3499, 661, 14, 17072, 5866, 1658, 14, 1022, 1890, 288, 750, 2096, 289, 2207, 6717, 288, 14991, 1812, 14, 1022, 1037, 1919, 327, 3937, 2096, 289, 648, 1437, 12, 1467, 2505, 12, 6734, 513, 8550, 288, 1555, 1098, 14, 199, 4219, 551, 1180, 327, 7929, 4351, 289, 2295, 1658, 14, 17072, 1155, 12942, 288, 976, 2155, 3520, 343, 808, 343, 3269, 327, 7331, 616, 4922, 24709, 288, 1744, 327, 2114, 13588, 14, 199, 1406, 559, 258, 8840, 199, 43351, 22640, 9385, 258, 1604, 13, 3322, 3617, 349, 1573, 262, 4127, 9059, 4952, 284, 3618, 2427, 2112, 289, 262, 4065, 281, 5910, 12601, 288, 8801, 8468, 14, 11088, 26, 6277, 14, 1678, 4000, 14244, 10321, 14, 1236, 17366, 327, 4855, 199, 24097, 289, 262, 28850, 13370, 2754, 9782, 1, 998, 1180, 3941, 289, 6021, 354, 409, 262, 9782, 284, 3115, 14, 199, 20663, 577, 284, 258, 2018, 3805, 311, 1138, 12, 3967, 12, 288, 19105, 14, 654, 577, 281, 680, 3523, 2158, 2336, 1020, 288, 5242, 332, 412, 734, 354, 853, 2905, 12, 2425, 487, 1121, 288, 3740, 262, 28850, 13370, 2754, 9782, 14, 199, 461, 426, 3267, 38, 311, 2991, 951, 8459, 14, 654, 1483, 354, 803, 1866, 4040, 284, 262, 11952, 288, 13737, 3080, 289, 262, 9782, 289, 2739, 354, 4175, 258, 1040, 1121, 4136, 12, 288, 438, 7129, 281, 650, 289, 524, 258, 1040, 2422, 288, 1301, 258, 2066, 1349, 14, 199, 20877, 12, 2787, 12, 288, 30190, 349, 976, 43699, 289, 2704, 3352, 12, 2170, 262, 2098, 2262, 327, 487, 1349, 12, 288, 3744, 487, 2966, 14, 8895, 487, 2401, 288, 487, 2787, 327, 5991, 14, 1022, 349, 487, 1389, 682, 327, 552, 13, 263, 13, 572, 4020, 288, 1164, 284, 487, 2754, 9782, 1805, 14, 199, 37, 12693, 7995, 288, 25444, 7995, 3352, 1012, 14901, 3666, 622, 16758, 7995, 3352, 14, 199, 5377, 4449, 10674, 2754, 7251, 199, 26177, 31, 23316, 12857, 14, 11915, 32, 7196, 14, 2279, 14, 44, 5064, 12, 24041, 14, 6123 ]

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

[ 5245, 741, 5075, 26, 1729, 1226, 4220, 1438, 5917, 6047, 42826, 35583, 199, 29447, 1023, 37955, 14, 28280, 8814, 3606, 14, 3235, 3327, 12, 9952, 14, 199, 25207, 26, 654, 2154, 5151, 629, 1172, 24788, 579, 199, 2611, 705, 14, 1072, 1208, 12, 552, 27423, 311, 332, 14992, 1908, 13173, 199, 1054, 1027, 1274, 5945, 14, 654, 311, 45994, 14, 4612, 14992, 31361, 351, 2578, 2652, 199, 274, 501, 1739, 8616, 1094, 14, 362, 2154, 551, 2336, 976, 2828, 199, 28661, 13983, 14, 362, 25474, 1274, 994, 258, 40283, 311, 2971, 258, 2004, 1914, 199, 6172, 7777, 357, 2971, 258, 5724, 899, 14, 37775, 281, 13892, 199, 12726, 854, 822, 12184, 402, 3046, 404, 3843, 548, 288, 12184, 402, 19256, 199, 4149, 22348, 777, 1947, 281, 1976, 12, 1976, 281, 1567, 288, 1976, 281, 19185, 12, 16048, 1504, 7124, 445, 9458, 5628, 289, 351, 26764, 15310, 281, 1976, 281, 1567, 14, 809, 1993, 27274, 777, 1947, 281, 1976, 281, 1567, 12, 1976, 402, 37017, 288, 1976, 402, 6149, 14, 998, 438, 1976, 402, 37017, 635, 384, 349, 3012, 2823, 281, 258, 2577, 12, 1323, 726, 25478, 14, 998, 349, 4156, 5504, 288, 27128, 352, 258, 2442, 357, 22435, 281, 258, 3317, 1073, 468, 12, 680, 2497, 13, 16528, 14, 3900, 37017, 352, 1567, 311, 25194, 4325, 416, 726, 1976, 281, 19185, 12, 384, 412, 310, 27128, 352, 1765, 4156, 1323, 7391, 726, 4205, 579, 356, 14, 339, 412, 693, 262, 2442, 281, 258, 3317, 625, 28780, 309, 288, 3626, 635, 339, 935, 356, 2, 288, 432, 693, 726, 4205, 579, 262, 2442, 284, 2345, 14, 362, 536, 1643, 281, 1976, 281, 1567, 311, 1250, 1976, 402, 6149, 14, 1544, 384, 1527, 384, 438, 1976, 281, 262, 3317, 2345, 12, 258, 1980, 1638, 12, 384, 2757, 289, 258, 1894, 281, 1976, 536, 622, 6207, 12, 1367, 1976, 14, 625, 461, 1980, 1638, 488, 2540, 717, 13, 420, 13, 6609, 2497, 13, 16528, 2, 311, 258, 7826, 332, 5667, 262, 3317, 402, 918, 281, 2497, 13, 16528, 14, 998, 742, 438, 258, 6149, 281, 262, 3317, 14, 12184, 402, 6149, 311, 48794, 333, 1765, 352, 488, 384, 349, 27128, 12, 2497, 13, 16528, 12, 288, 629, 1976, 281, 19185, 12, 690, 7391, 332, 625, 6609, 13, 288, 13, 6609, 2497, 13, 16528, 349, 2535, 402, 262, 1980, 1638, 1315, 4183, 12, 1976, 402, 6149, 2919, 468, 289, 23116, 1976, 579, 262, 4245, 904, 3639, 262, 1567, 332, 412, 310, 1257, 289, 468, 12, 1567, 352, 488, 384, 438, 1367, 37017, 363, 459, 14968, 2497, 13, 16528, 595, 199, 4476, 289, 445, 10232, 12, 1976, 402, 37017, 2735, 262, 28187, 327, 500, 281, 680, 536, 1976, 14, 24221, 13, 16528, 311, 432, 262, 742, 3962, 281, 1567, 352, 488, 384, 412, 310, 4156, 27128, 14, 1072, 660, 710, 384, 10155, 262, 1789, 12, 16048, 10417, 12, 719, 384, 840, 742, 693, 735, 414, 4156, 1301, 289, 680, 11480, 14, 15913, 2497, 13, 16528, 12, 384, 551, 438, 625, 393, 404, 3843, 548, 402, 3335, 1315, 9634, 283, 735, 384, 540, 4156, 2823, 281, 2006, 356, 564, 332, 384, 349, 1261, 4156, 2823, 281, 332, 1789, 12, 8558, 2577, 14, 998, 619, 2851, 1621, 748, 1789, 1567, 352, 262, 1027, 35227, 3009, 1928, 14, 15913, 2497, 13, 16528, 288, 10121, 12, 384, 5749, 625, 393, 404, 3843, 548, 402, 25790, 46493, 1315, 1544, 384, 349, 2823, 281, 351, 4801, 12, 690, 284, 262, 1617, 281, 11142, 12, 625, 2455, 703, 3881, 1013, 2, 3314, 351, 1638, 281, 37017, 14, 2885, 3508, 4029, 37017, 311, 258, 1894, 281, 37017, 352, 680, 1011, 8584, 332, 619, 310, 5761, 343, 1988, 13, 39920, 14, 1444, 12, 445, 1988, 13, 39920, 311, 2081, 513, 690, 258, 8443, 281, 258, 4494, 357, 258, 1501, 2296, 27, 262, 4801, 7217, 2608, 262, 8659, 670, 281, 625, 41, 1634, 488, 710, 2704, 262, 10036, 343, 258, 1945, 14, 16048, 449, 420, 663, 445, 11477, 281, 1976, 12, 1976, 281, 262, 10036, 12, 343, 258, 16138, 538, 12339, 11861, 281, 37017, 14, 199, 44022, 7526, 26903, 680, 37017, 352, 1567, 343, 5304, 26, 625, 1633, 438, 37017, 284, 12971, 352, 262, 1032, 281, 262, 7408, 11480, 12, 288, 284, 25790, 46493, 352, 262, 1032, 281, 735, 619, 310, 1250, 262, 6324, 2497, 1190, 1585, 775, 12, 5400, 12, 14277, 12, 2589, 4178, 384, 438, 37017, 284, 3335, 352, 1567, 488, 438, 634, 1032, 2113, 281, 262, 7408, 11480, 357, 281, 262, 6324, 2497, 14, 5072, 12, 356, 311, 16138, 12, 1244, 432, 1627, 12, 332, 384, 438, 37017, 352, 10036, 12, 343, 332, 488, 311, 2823, 281, 1567, 357, 520, 14277, 3074, 1567, 1315, 1778, 656, 3545, 281, 37017, 349, 41917, 12, 6356, 12, 3937, 1567, 14, 16048, 40831, 332, 384, 412, 551, 438, 37017, 352, 8163, 12, 1937, 2820, 1250, 4395, 790, 14, 809, 8994, 4395, 790, 513, 3870, 1704, 284, 5628, 1267, 14, 199, 44022, 7526, 500, 419, 632, 262, 1423, 281, 262, 5628, 289, 11277, 660, 262, 7107, 2883, 281, 1976, 402, 6149, 2260, 1804, 14, 362, 689, 24822, 1567, 332, 349, 1257, 289, 468, 402, 6149, 349, 1980, 3545, 288, 536, 661, 559, 8584, 14, 998, 2382, 258, 1617, 281, 1952, 1976, 402, 6149, 635, 384, 693, 625, 5363, 638, 311, 351, 1638, 18239, 289, 258, 15713, 6149, 12, 1244, 384, 349, 432, 27128, 352, 726, 717, 1638, 1315, 16048, 3943, 1522, 12462, 284, 262, 2522, 281, 2255, 1976, 402, 6149, 14, 809, 5469, 332, 356, 311, 976, 289, 1235, 445, 1894, 281, 1976, 896, 680, 1758, 2701, 5281, 564, 7684, 333, 356, 14, 1544, 384, 1527, 1172, 1798, 357, 1432, 3936, 12, 384, 349, 2081, 17211, 333, 262, 11866, 16889, 284, 15735, 1976, 14, 362, 2296, 1637, 5906, 402, 262, 670, 281, 258, 1432, 1605, 412, 742, 2081, 310, 13125, 5962, 752, 258, 6149, 357, 19582, 14, 199, 34, 903, 31534, 12, 357, 625, 1054, 753, 29290, 281, 262, 3126, 6468, 1634, 311, 16048, 559, 689, 43681, 297, 1208, 14, 18390, 332, 638, 311, 258, 19582, 12, 357, 4347, 12, 1033, 579, 40448, 14, 1052, 40448, 311, 262, 10071, 12, 38041, 332, 378, 520, 258, 1894, 281, 1367, 37017, 352, 597, 1011, 1988, 12, 40448, 1285, 438, 33681, 597, 1605, 284, 1478, 289, 848, 258, 1988, 13, 8961, 26170, 9310, 12, 281, 488, 597, 1605, 311, 258, 24610, 14, 507, 445, 15266, 1617, 12, 262, 625, 30806, 1605, 520, 262, 1367, 670, 488, 356, 1776, 14090, 289, 438, 12, 343, 2662, 6385, 327, 258, 1627, 1638, 12, 288, 432, 327, 258, 6149, 281, 262, 1638, 1315, 1052, 552, 281, 40448, 559, 3394, 590, 5542, 1148, 3012, 414, 262, 10071, 281, 262, 4347, 12, 911, 384, 710, 1527, 332, 262, 10071, 683, 1976, 402, 6149, 14, 362, 10071, 311, 27128, 352, 2497, 13, 16528, 488, 378, 594, 372, 16231, 352, 40448, 559, 1137, 14, 362, 1137, 357, 1980, 1638, 9107, 262, 1991, 311, 625, 10821, 1257, 343, 262, 1137, 288, 262, 1991, 4299, 352, 656, 2497, 13, 16528, 1634, 488, 311, 262, 5001, 6149, 14, 3900, 262, 2497, 13, 16528, 8538, 289, 40448, 1311, 416, 3896, 289, 3896, 288, 352, 5148, 12, 262, 10071, 6555, 488, 1835, 11912, 349, 5270, 14, 199, 17523, 513, 4463, 416, 1367, 37017, 12, 7436, 332, 2872, 690, 354, 357, 339, 2318, 1750, 288, 2006, 258, 4347, 579, 40448, 332, 311, 258, 6149, 1590, 333, 258, 625, 3801, 357, 1098, 17877, 2114, 281, 3714, 1976, 1315, 998, 1527, 332, 40448, 414, 262, 625, 11192, 29290, 281, 262, 3126, 6468, 1315, 507, 1478, 289, 848, 258, 5270, 6149, 11431, 289, 262, 1980, 1638, 12, 40448, 559, 1137, 12, 384, 1175, 1037, 258, 6557, 831, 629, 1501, 352, 488, 384, 438, 37017, 288, 262, 1980, 1638, 12, 262, 1501, 352, 488, 384, 6170, 289, 438, 351, 9150, 37017, 14, 998, 1175, 848, 717, 258, 4326, 284, 1478, 289, 5550, 258, 8904, 6149, 14, 199, 2358, 670, 2562, 9434, 41917, 416, 4395, 790, 12, 16048, 48113, 262, 1208, 281, 625, 1054, 689, 902, 13, 17852, 281, 1548, 1634, 258, 6149, 488, 18856, 5346, 281, 4395, 790, 14, 998, 7505, 332, 262, 6149, 1175, 4122, 289, 629, 533, 12, 538, 384, 438, 747, 918, 281, 23116, 1790, 726, 9310, 579, 1148, 14, 16048, 19191, 12, 625, 452, 1976, 281, 19185, 12, 343, 384, 3114, 1060, 12, 7508, 37017, 352, 1567, 488, 349, 281, 351, 7288, 885, 1800, 416, 2497, 13, 16528, 12, 262, 1567, 488, 349, 2672, 1250, 1823, 42231, 2820, 7969, 538, 488, 384, 3114, 956, 1823, 39890, 790, 7, 1315, 362, 6149, 6974, 742, 281, 4395, 790, 3411, 747, 1976, 402, 37017, 352, 488, 384, 1285, 18285, 351, 25478, 579, 262, 13092, 13, 17852, 533, 14, 328, 1993, 4347, 579, 40448, 12, 690, 625, 461, 753, 29290, 281, 262, 3126, 6468, 414, 351, 3929, 1122, 17102, 33426, 1634, 311, 258, 4347, 332, 3186, 41917, 288, 24654, 258, 9310, 332, 384, 412, 742, 848, 284, 12399, 281, 629, 37017, 363, 2271, 1765, 4642, 357, 1010, 595, 199, 14575, 698, 579, 1567, 1257, 402, 6149, 1731, 284, 680, 1758, 343, 7563, 579, 262, 625, 44432, 2577, 3241, 36304, 332, 311, 12, 384, 18661, 289, 2757, 289, 332, 2577, 14, 998, 18661, 289, 1527, 1765, 352, 262, 1367, 4892, 332, 742, 40448, 3424, 840, 438, 635, 378, 2006, 258, 4347, 579, 3424, 12, 1765, 352, 488, 378, 520, 1367, 37017, 14, 6132, 12, 638, 311, 258, 7421, 281, 7244, 416, 37017, 352, 262, 4643, 41917, 26, 416, 40448, 3424, 12, 625, 10156, 311, 40448, 289, 661, 590, 5542, 1148, 27, 40448, 289, 942, 590, 742, 693, 281, 1148, 752, 1473, 2, 288, 409, 258, 1691, 1045, 281, 262, 7421, 625, 1054, 13092, 4404, 281, 1548, 1315, 1635, 262, 5827, 1045, 12, 384, 412, 742, 848, 32048, 332, 349, 25194, 291, 11759, 796, 416, 4395, 790, 12, 288, 409, 262, 3677, 1045, 12, 384, 1629, 343, 2091, 343, 1509, 289, 1367, 37017, 288, 412, 848, 748, 32048, 7802, 262, 4245, 1638, 14, 617, 311, 1129, 1793, 660, 1976, 7410, 402, 6149, 311, 1163, 23903, 289, 1976, 402, 37017, 14, 16048, 5695, 445, 7721, 597, 5214, 5431, 284, 262, 1019, 281, 625, 18747, 22925, 5353, 11912, 23629, 625, 7268, 19582, 488, 384, 412, 1235, 1175, 310, 6974, 18856, 281, 21143, 352, 488, 384, 349, 27128, 1315, 199, 5557, 1152, 1976, 281, 629, 41917, 3141, 2378, 719, 384, 349, 289, 2861, 2515, 8384, 11866, 289, 262, 1798, 384, 3654, 670, 14, 1544, 384, 1527, 1765, 11427, 289, 22961, 15998, 12, 384, 4370, 438, 747, 1367, 37017, 352, 262, 533, 14, 10119, 12, 384, 349, 3185, 281, 717, 11912, 343, 625, 1054, 533, 590, 414, 31107, 333, 262, 339, 4878, 281, 3115, 2, 357, 625, 1054, 10679, 281, 262, 3809, 6468, 1315, 3900, 384, 438, 747, 918, 281, 962, 3012, 27128, 352, 22961, 15998, 12, 680, 1976, 402, 6149, 2919, 468, 289, 4069, 1976, 281, 625, 33417, 488, 384, 438, 1908, 4588, 1315, 617, 2919, 468, 289, 653, 10184, 262, 8343, 281, 680, 3268, 12, 6207, 4092, 288, 5849, 258, 1262, 1976, 288, 1262, 1758, 14, 199, 1201, 1976, 402, 37017, 288, 1976, 402, 6149, 2883, 414, 258, 4055, 31590, 1392, 1632, 13, 41524, 335, 327, 16048, 14, 4714, 7929, 1800, 3696, 1148, 289, 6235, 289, 597, 7884, 25301, 12, 258, 25301, 9531, 402, 258, 513, 15713, 46029, 281, 3545, 14, 617, 311, 258, 2883, 281, 1976, 332, 13322, 680, 2253, 281, 1758, 289, 310, 8904, 288, 14452, 281, 5141, 2297, 14, 16048, 17883, 632, 660, 384, 3931, 258, 2497, 281, 2564, 579, 3545, 5925, 416, 680, 1805, 14, 362, 12963, 281, 37017, 3943, 262, 689, 5550, 8736, 327, 680, 2255, 281, 262, 904, 14, 12184, 402, 6149, 2919, 468, 289, 2827, 32124, 416, 680, 12963, 281, 37017, 538, 3292, 468, 284, 258, 513, 6424, 2531, 14, 3900, 1976, 402, 6149, 551, 5281, 333, 19185, 12, 384, 349, 10540, 289, 5997, 579, 680, 15735, 1976, 719, 384, 349, 13525, 15399, 579, 258, 19582, 332, 384, 438, 2168, 289, 310, 2595, 14, 199, 29665, 766, 281, 445, 2883, 438, 2991, 332, 16048, 559, 8565, 281, 1976, 402, 6149, 311, 14866, 14, 2426, 6688, 635, 12211, 2497, 13, 16528, 12, 332, 262, 1980, 904, 311, 27086, 528, 289, 468, 12, 18600, 597, 2883, 281, 1976, 402, 11912, 14, 809, 10900, 332, 625, 27566, 402, 6149, 2, 311, 432, 2081, 258, 871, 281, 1976 ]

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

[ 1562, 384, 412, 742, 693, 942, 1567, 352, 488, 384, 349, 27128, 288, 384, 2252, 310, 27128, 352, 1980, 3545, 14, 16048, 559, 2883, 4659, 289, 262, 19582, 332, 680, 37017, 352, 2908, 3545, 3913, 2264, 284, 258, 9559, 918, 289, 1980, 3545, 288, 29519, 468, 34266, 309, 27128, 352, 262, 1980, 904, 14, 24221, 13, 16528, 349, 680, 14968, 15593, 281, 262, 5137, 904, 12, 288, 493, 20439, 445, 9150, 2572, 14, 199, 3609, 7929, 12, 16048, 559, 2883, 281, 1976, 402, 6149, 311, 432, 351, 9749, 2883, 281, 1976, 14, 617, 311, 4370, 570, 1830, 69, 2699, 896, 680, 23988, 281, 1577, 349, 6158, 23635, 31, 199, 10941, 1237, 5222, 357, 258, 986, 281, 23635, 843, 10388, 4038, 349, 42455, 7272, 288, 6158, 284, 2647, 289, 4367, 1806, 14, 199, 10367, 38414, 6000, 349, 7609, 352, 2758, 3915, 281, 18247, 288, 258, 3146, 2291, 289, 3990, 1608, 30969, 3830, 1690, 289, 3440, 3253, 12, 1025, 13, 1615, 13, 1237, 12531, 12, 288, 2542, 288, 14991, 5049, 14, 16633, 5352, 349, 2476, 4581, 281, 3976, 289, 2193, 10624, 1812, 288, 1485, 2545, 4043, 752, 258, 4311, 281, 3146, 3830, 6741, 13177, 352, 10388, 4038, 332, 4805, 289, 4725, 2545, 3257, 288, 1890, 13588, 288, 536, 2735, 281, 27124, 72, 1962, 14, 362, 6158, 23635, 2153, 311, 11754, 1417, 1161, 262, 1587, 343, 351, 2382, 332, 14203, 656, 3162, 289, 848, 262, 689, 1801, 288, 3888, 670, 281, 258, 1608, 30969, 7030, 14, 199, 461, 9698, 831, 6158, 23635, 288, 536, 2930, 2735, 281, 1608, 30969, 22946, 2349, 311, 262, 5027, 6219, 281, 625, 5362, 2349, 1315, 4507, 445, 6219, 12, 262, 5027, 6408, 42455, 18786, 3257, 288, 1594, 3830, 333, 262, 7030, 402, 8585, 714, 4038, 357, 23406, 3937, 4038, 14, 362, 6408, 10670, 416, 262, 28311, 262, 5027, 7794, 327, 262, 6158, 23635, 288, 262, 4970, 281, 3872, 332, 501, 310, 2168, 2162, 612, 13, 18521, 2878, 29123, 349, 1238, 14, 199, 2437, 501, 713, 262, 21959, 46770, 21800, 289, 1644, 262, 9575, 83, 333, 445, 2763, 14, 199, 16806, 1618, 3104, 281, 16633, 822, 5884, 16234, 7371, 36, 18209, 27694, 284, 2632, 199, 8040, 3115, 3356, 199, 36, 18209, 6548, 311, 258, 2758, 4772, 284, 2632, 14, 507, 3144, 12, 43753, 5399, 540, 4866, 343, 258, 949, 281, 21704, 6548, 14186, 14, 199, 35563, 1032, 333, 1357, 8787, 4331, 402, 262, 2092, 9253, 2471, 258, 1677, 3620, 284, 262, 9197, 281, 21704, 6548, 416, 933, 1220, 3274, 1948, 284, 3239, 12, 289, 11276, 3678, 22, 284, 630, 3144, 14, 199, 23026, 20115, 21704, 1948, 540, 2674, 416, 14253, 284, 3144, 14, 199, 21792, 569, 327, 14116, 5540, 199, 18682, 311, 258, 2445, 14222, 10764, 288, 30392, 803, 310, 2823, 281, 262, 1413, 281, 21704, 6548, 14, 8912, 548, 281, 12458, 15510, 12, 2721, 994, 17559, 2536, 12, 402, 7888, 616, 352, 7210, 12, 262, 670, 281, 10187, 20081, 3636, 717, 343, 33142, 288, 4196, 19079, 311, 11982, 14, 40700, 281, 7147, 3367, 1161, 14738, 9384, 15, 14266, 311, 11982, 327, 2505, 1922, 14813, 14, 6633, 23302, 1976, 3913, 289, 310, 18262, 288, 2414, 89, 289, 262, 1293, 12, 538, 284, 955, 12, 1621, 289, 1020, 12, 1326, 281, 6953, 648, 2128, 12, 650, 5297, 12, 288, 262, 5913, 281, 6953, 25755, 349, 1931, 289, 962, 8558, 343, 351, 6953, 14, 199, 2358, 848, 1734, 513, 21253, 12, 17743, 1175, 647, 3527, 1976, 5957, 288, 4074, 1005, 284, 262, 6356, 2128, 281, 1976, 11985, 288, 1976, 6605, 14, 18890, 284, 6953, 2128, 13, 393, 26280, 10900, 262, 12623, 281, 262, 2930, 4825, 13, 33379, 2276, 288, 281, 262, 4550, 6953, 14963, 288, 17743, 1175, 1352, 289, 11002, 352, 262, 4986, 281, 16352, 714, 16075, 37764, 14, 1052, 384, 6170, 289, 2785, 262, 18360, 281, 680, 22640, 12, 660, 524, 384, 5748, 680, 1005, 327, 717, 258, 9787, 2382, 288, 409, 262, 1027, 650, 3691, 680, 3540, 3799, 31, 199, 461, 1796, 12, 258, 4825, 281, 4504, 1758, 288, 4247, 12, 7253, 4038, 327, 24958, 266, 2405, 1734, 288, 1308, 14970, 4734, 6953, 648, 752, 262, 3216, 281, 2128, 13, 2410, 27002, 22260, 289, 262, 3131, 281, 4247, 14, 362, 7235, 332, 656, 4038, 438, 327, 258, 714, 1643, 281, 1508, 288, 262, 1672, 332, 493, 438, 333, 1371, 37233, 501, 551, 310, 5476, 14, 199, 92, 25076, 9654, 17912, 44670, 2405, 3572, 12, 415, 3901, 306, 4734, 29369, 4497, 12, 12184, 44307, 13715, 12, 39855, 729, 13715, 12, 10815, 13104, 12, 13715, 9744, 10815, 92, 199, 10549, 8515, 5916, 281, 4504, 12, 3104, 281, 13104, 288, 23189, 12, 11704, 1358, 12, 6682, 12, 9209, 12, 5965, 199, 1838, 349, 3601, 747, 10332, 281, 445, 1319, 14, 21006, 258, 5954, 8, 24228, 14, 2279, 22683, 6111, 19976, 625, 77, 40178, 2, 831, 2613, 275, 288, 15526, 6570, 12, 357, 14523, 12, 284, 12222, 13, 2410, 3062, 1679, 840, 1756, 474, 4751, 12, 2112, 289, 258, 1935, 281, 2163, 332, 2805, 20377, 416, 2197, 6530, 2427, 1358, 14, 4081, 3961, 8583, 1339, 333, 262, 6324, 26248, 281, 656, 3062, 1679, 12, 288, 840, 1009, 289, 1993, 8267, 284, 4751, 14, 199, 23547, 642, 13, 2410, 3062, 1679, 2795, 281, 777, 14523, 12, 1257, 343, 262, 2613, 275, 288, 262, 15526, 6570, 14, 1517, 22030, 663, 12, 262, 1310, 5068, 2219, 402, 3062, 1679, 12, 1175, 310, 1533, 289, 2545, 2996, 289, 262, 8188, 281, 262, 15526, 288, 2613, 275, 14523, 284, 1478, 289, 310, 41834, 343, 351, 1310, 2138, 14, 10518, 683, 4052, 332, 5029, 262, 15526, 288, 2613, 275, 6570, 343, 5657, 343, 1509, 414, 262, 1389, 918, 289, 2739, 332, 262, 48474, 663, 840, 2545, 22368, 4371, 279, 12, 564, 332, 3062, 1679, 840, 6589, 262, 5167, 1673, 281, 1310, 14, 199, 18025, 2427, 18756, 3164, 4041, 32118, 288, 597, 1493, 3951, 352, 7316, 281, 2682, 416, 262, 1519, 6966, 12, 3934, 288, 2837, 289, 6565, 262, 1980, 2499, 288, 1890, 262, 2003, 281, 12222, 13, 2410, 3062, 1679, 14, 507, 3961, 2301, 284, 777, 4106, 6095, 15131, 445, 1630, 2477, 284, 12449, 5078, 12730, 288, 12449, 12730, 12, 262, 2163, 1060, 332, 629, 12500, 281, 262, 777, 14523, 619, 432, 310, 258, 3088, 2577, 14, 507, 955, 12, 719, 262, 19765, 12, 357, 2499, 12, 281, 262, 6136, 14523, 311, 1078, 12, 262, 3062, 1144, 412, 1261, 310, 2914, 3888, 14, 199, 4476, 289, 32118, 12, 625, 1633, 683, 4621, 891, 332, 262, 14523, 284, 656, 3062, 1679, 12385, 1438, 5657, 14, 1852, 384, 5354, 409, 660, 18983, 3491, 262, 2003, 281, 656, 1679, 14, 1544, 354, 4670, 262, 1144, 12, 262, 2637, 2141, 281, 19855, 281, 262, 26793, 288, 18983, 11541, 660, 262, 3055, 4394, 2735, 288, 262, 15526, 288, 2613, 275, 3385, 14, 26007, 12, 354, 1321, 262, 20843, 289, 35037, 6052, 1927, 564, 332, 262, 2292, 438, 650, 289, 4106, 797, 5197, 262, 6570, 1823, 43637, 616, 7, 288, 1967, 262, 1144, 559, 4751, 14, 998, 10065, 351, 20652, 332, 21446, 19855, 14, 654, 5225, 262, 12500, 288, 7106, 2205, 281, 262, 3055, 4394, 12, 288, 262, 11620, 332, 6136, 540, 1078, 1315, 199, 461, 4751, 281, 942, 6136, 6570, 414, 5140, 12, 3087, 289, 19548, 332, 3853, 629, 12500, 281, 262, 15526, 288, 2613, 275, 3679, 1438, 258, 1632, 12, 343, 902, 343, 262, 14523, 349, 1078, 14, 199, 2, 1633, 3343, 2889, 327, 262, 3712, 3385, 1469, 12, 1048, 284, 2519, 281, 262, 26793, 288, 18983, 384, 1285, 670, 284, 1478, 289, 4670, 12222, 13, 2410, 3062, 1679, 12, 288, 284, 2519, 281, 262, 1980, 12500, 281, 262, 14523, 288, 660, 332, 619, 1551, 4751, 1634, 32118, 1581, 14, 199, 23035, 1993, 26, 12912, 84, 553, 24489, 1823, 24301, 1746, 31791, 7, 7747, 258, 8320, 6773, 39778, 284, 6998, 13, 25440, 874, 3757, 22009, 199, 5377, 1020, 26, 625, 4987, 380, 2593, 289, 312, 1441, 526, 6420, 931, 26, 36277, 863, 20249, 13, 84, 14400, 281, 415, 15, 33, 1896, 505, 284, 368, 6417, 48, 19, 52, 13, 2410, 48480, 9114, 20014, 3978, 12449, 12730, 12, 3144, 14, 199, 815, 262, 1789, 6001, 12, 1193, 1661, 520, 634, 5820, 284, 11323, 10733, 79, 13, 74, 4287, 363, 34, 40, 42, 9, 12222, 3062, 1679, 363, 4420, 10708, 9, 284, 488, 15526, 15, 16635, 275, 363, 36, 15, 33, 9, 1646, 13, 18688, 3379, 3237, 48371, 6284, 5725, 412, 310, 3778, 288, 284, 629, 2492, 4008, 12, 1132, 9042, 4751, 363, 48, 7449, 9, 907, 2382, 1220, 7017, 507, 1515, 289, 262, 17018, 3786, 281, 3055, 4394, 2292, 12, 717, 343, 5523, 10614, 288, 7170, 1310, 1664, 12, 24058, 3786, 281, 262, 415, 15, 33, 29094, 1229, 15127, 6091, 281, 22220, 12, 7106, 2205, 12, 2292, 10358, 2060, 12, 24627, 4118, 12, 288, 7170, 10257, 12, 349, 551, 281, 1193, 3248, 327, 24986, 2878, 281, 262, 3266, 14, 4451, 12, 1522, 4038, 1229, 2670, 2052, 12, 20843, 41590, 2699, 12, 7962, 41590, 2699, 12, 5670, 281, 20843, 357, 6136, 20843, 438, 634, 3721, 289, 12917, 357, 1422, 281, 262, 19765, 281, 262, 415, 15, 33, 29094, 14, 7423, 656, 12, 13376, 20843, 25144, 438, 634, 6035, 738, 284, 19765, 1422, 14, 1072, 1208, 12, 262, 26088, 2527, 725, 18534, 2567, 363, 15044, 34, 9, 357, 7296, 725, 18534, 2567, 363, 37607, 23440, 17, 12, 1220, 13, 9597, 1271, 5193, 299, 1570, 363, 36, 12619, 9, 13376, 20843, 778, 520, 634, 4301, 3721, 284, 368, 14767, 3505, 22837, 948, 14, 2216, 12500, 258, 1293, 4520, 1537, 281, 415, 12619, 352, 262, 3077, 20843, 363, 15044, 34, 357, 22362, 756, 31004, 281, 748, 4970, 281, 22220, 412, 310, 4730, 9588, 14, 12706, 415, 12619, 12, 536, 26793, 12, 690, 366, 12, 1220, 13, 31483, 28306, 344, 2055, 363, 4901, 756, 437, 13, 36523, 13, 18, 13, 80, 3137, 1104, 318, 572, 363, 46, 7592, 756, 366, 13, 17837, 263, 6703, 10391, 2567, 363, 10835, 756, 7296, 79, 860, 363, 23488, 756, 412, 551, 310, 738, 14, 3661, 289, 656, 1804, 12, 356, 412, 310, 7729, 332, 15127, 6091, 12, 343, 808, 343, 7106, 2205, 284, 262, 29094, 412, 310, 20732, 4641, 402, 1059, 13376, 20843, 25144, 12, 288, 2877, 13376, 20843, 25144, 1345, 258, 909, 976, 1963, 284, 837, 2878, 18796, 10708, 14, 3152, 345, 380, 2396, 3108, 311, 1382, 1643, 281, 17935, 1414, 14, 362, 41433, 281, 445, 1894, 281, 17935, 1414, 4092, 1414, 409, 262, 1047, 281, 262, 17935, 635, 262, 2804, 7232, 597, 3670, 281, 262, 17075, 14, 507, 262, 17935, 32697, 3108, 1643, 281, 17935, 1414, 638, 311, 9514, 333, 262, 5497, 281, 262, 25324, 382, 16958, 14, 507, 445, 2304, 262, 41433, 619, 1805, 1414, 284, 262, 17935, 635, 597, 2773, 4938, 262, 2013, 14, 809, 345, 44565, 349, 551, 4493, 343, 17935, 25708, 493, 349, 1770, 2535, 402, 16884, 10095, 14, 362, 3652, 24981, 281, 262, 10095, 1461, 262, 17935, 14, 199, 1577, 311, 32697, 3108, 31, 199, 34, 2396, 3108, 311, 262, 5486, 281, 258, 32697, 65, 14, 23979, 12, 262, 32697, 65, 2336, 258, 31738, 2145, 332, 520, 2331, 747, 13852, 14, 328, 1632, 14130, 635, 258, 32697, 65, 3314, 21148, 14, 362, 32697, 65, 16667, 641, 48741, 8386, 12, 288, 3314, 513, 288, 513, 29229, 635, 356, 311, 4288, 14, 199, 2172, 262, 2304, 1250, 32697, 3108, 3590, 12, 262, 5692, 31738, 32697, 65, 3314, 17850, 288, 21148, 14, 362, 2922, 11323, 281, 262, 17850, 32697, 65, 2540, 513, 13852, 1307, 351, 2065, 12804, 1809, 14, 3918, 12, 262, 6777, 48741, 32697, 65, 3314, 26487, 1109, 288, 9886, 14, 11719, 281, 351, 21148, 32697, 65, 311, 8646, 288, 32780, 14, 199, 1289, 1406, 272, 511, 1770, 5145, 289, 262, 5486, 281, 258, 1627, 577, 281, 262, 1137, 12, 2851, 380, 2396, 3108, 5145, 289, 262, 3652, 14998, 281, 262, 1647, 28860, 332, 6374, 262, 17935, 281, 262, 3084, 363, 1054, 32697, 65, 595, 380, 2396, 3108, 311, 1092, 2211, 352, 7053, 286, 25295, 38542, 12, 488, 5131, 262, 2388, 288, 17935, 281, 262, 3084, 14, 199, 1577, 2540, 32697, 3108, 31, 199, 13, 380, 2396, 3108, 288, 7053, 286, 25295, 38542, 412, 1484, 635, 258, 1036, 3836, 474, 1664, 281, 1980, 2053, 357, 635, 262, 17935, 382, 83, 2322, 14729, 3314, 21972, 12, 3561, 1098, 3244, 289, 262, 3084, 14, 199, 13, 6123, 15754, 10095, 14, 199, 13, 3759, 462, 22385, 1658, 363, 69, 14 ]

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

[ 71, 14, 4017, 13, 277, 15416, 281, 262, 3084, 12, 1229, 653, 13, 26491, 316, 595, 199, 13, 36971, 1543, 9397, 14, 199, 34, 2396, 3108, 1770, 1761, 416, 258, 16169, 2665, 357, 1690, 289, 11575, 288, 7258, 2213, 14, 12387, 590, 1423, 333, 474, 35568, 327, 902, 5157, 357, 942, 590, 15959, 474, 35568, 4300, 288, 16169, 309, 363, 1955, 1208, 12, 258, 2741, 32607, 1059, 258, 10999, 327, 2536, 409, 258, 650, 9, 412, 750, 18769, 32697, 3108, 12, 551, 1250, 33871, 67, 3293, 263, 32697, 3108, 14, 10266, 284, 536, 2317, 281, 262, 1137, 12, 16169, 670, 357, 6608, 2213, 412, 33061, 258, 32697, 65, 288, 1479, 5486, 14, 199, 5443, 1479, 281, 32697, 3108, 311, 258, 13714, 4431, 14, 10731, 8160, 12, 717, 343, 258, 899, 6499, 357, 2077, 12, 258, 2804, 619, 750, 32697, 3108, 14, 12669, 258, 502, 2404, 2540, 9514, 1307, 262, 32697, 65, 14, 362, 32697, 65, 12, 488, 683, 35920, 5692, 616, 1702, 332, 1189, 12, 1129, 4905, 289, 750, 5486, 12, 288, 32697, 3108, 1761, 14, 4612, 262, 32697, 65, 311, 21148, 12, 2708, 5547, 288, 2074, 412, 1426, 8646, 14, 199, 23373, 290, 10865, 1806, 12, 717, 343, 22774, 9397, 12, 619, 551, 1009, 289, 32697, 3108, 14, 1295, 1947, 281, 1806, 412, 848, 1905, 9466, 289, 2751, 32697, 3108, 14, 199, 13, 11186, 30420, 357, 3531, 21455, 14, 199, 13, 13323, 13, 11618, 13203, 14, 199, 13, 338, 1958, 292, 283, 2096, 14, 199, 13, 5265, 2314, 262, 3084, 2870, 4077, 12580, 14, 199, 13, 33159, 4115, 6788, 14, 199, 13, 7741, 2768, 357, 13337, 16502, 14, 14727, 3355, 258, 1338, 1143, 3690, 1602, 343, 1868, 343, 5676, 520, 258, 8998, 1189, 14, 617, 3141, 21205, 5311, 619, 442, 17532, 694, 2761, 3533, 12, 11277, 39026, 2411, 13, 1900, 31460, 14, 199, 46, 7785, 1219, 5311, 349, 8618, 21290, 281, 5311, 6318, 28218, 12, 23203, 262, 2114, 281, 262, 2214, 643, 258, 12544, 262, 2205, 281, 258, 2010, 14, 4081, 20003, 619, 310, 5244, 12, 538, 474, 7408, 7021, 349, 4606, 288, 4095, 9938, 822, 1697, 21116, 12, 262, 14210, 1338, 333, 2399, 12, 1180, 690, 3869, 2021, 402, 6189, 14, 199, 3487, 13621, 619, 442, 17532, 12, 1244, 12, 284, 262, 3441, 1293, 7252, 1073, 258, 6562, 281, 21205, 5311, 4222, 1970, 289, 871, 258, 2284, 6723, 822, 258, 7819, 2296, 289, 5765, 24009, 1257, 343, 1707, 18353, 13, 1900, 24466, 14, 199, 17578, 14228, 605, 281, 262, 3154, 3048, 281, 5226, 284, 35212, 288, 6371, 438, 8122, 660, 262, 11782, 14431, 6063, 281, 717, 5311, 501, 38345, 474, 3622, 12, 3408, 3920, 18430, 3536, 1970, 14, 1023, 262, 5311, 16259, 3074, 963, 536, 12, 21282, 2421, 5060, 12, 493, 24855, 288, 10230, 963, 536, 2421, 5060, 1480, 14, 199, 33, 1293, 7252, 1073, 262, 5311, 24539, 12, 262, 4865, 281, 445, 40897, 288, 13465, 15019, 262, 4865, 409, 488, 552, 281, 262, 5311, 9396, 632, 689, 2865, 14, 654, 5920, 258, 16627, 332, 26610, 262, 21753, 9588, 12, 4328, 262, 3975, 559, 11239, 289, 9959, 284, 748, 3312, 822, 914, 343, 258, 7485, 4119, 619, 442, 17532, 635, 258, 1627, 3884, 311, 18608, 12, 262, 1935, 1581, 363, 21083, 5954, 15809, 12, 18474, 26, 1143, 14, 15071, 19, 15, 25254, 22198, 20472, 14, 22590, 14, 45440, 23240, 595, 199, 461, 3975, 559, 8573, 311, 1480, 3751, 289, 1693, 262, 4854, 6196, 1914, 12, 538, 262, 5787, 2665, 412, 9492, 641, 6299, 2105, 12, 22662, 9490, 288, 3087, 289, 258, 3751, 2411, 13, 1900, 22073, 14, 2094, 840, 4045, 6543, 402, 5004, 559, 27333, 7142, 284, 488, 258, 16289, 281, 2411, 13, 7735, 21065, 629, 1707, 18353, 13, 1900, 24466, 402, 258, 1293, 7252, 14, 199, 25343, 1429, 6543, 281, 2411, 13, 1900, 31460, 352, 942, 281, 14431, 6013, 15946, 402, 262, 5311, 343, 493, 16259, 1870, 840, 4100, 262, 3207, 4865, 409, 488, 262, 442, 39069, 3590, 12, 488, 710, 7747, 513, 579, 262, 5311, 7, 14089, 37189, 12, 1581, 14228, 605, 14, 199, 1683, 354, 710, 690, 289, 16436, 726, 2495, 416, 1136, 18772, 12, 2113, 284, 2864, 357, 2477, 12, 4675, 2572, 262, 21642, 1718, 6616, 753, 327, 8289, 14, 1136, 18772, 1026, 432, 1011, 2379, 289, 7388, 12, 538, 638, 349, 258, 2646, 281, 21509, 4043, 1594, 327, 670, 281, 4766, 288, 12846, 384, 1011, 262, 9181, 289, 14, 199, 10983, 487, 1527, 199, 14725, 31984, 619, 3689, 6688, 333, 445, 2154, 14, 7823, 2788, 284, 14, 199, 14725, 2420, 31984, 619, 3689, 6688, 333, 445, 2154, 2172, 378, 6654, 3472, 7877, 12, 1989, 47666, 33471, 414, 3986, 829, 1436, 12, 288, 552, 281, 262, 2981, 382, 83, 689, 4055, 12322, 14, 363, 23006, 1359, 36114, 12129, 5474, 15, 10112, 36279, 15605, 9, 199, 8314, 47666, 33471, 12, 258, 10295, 4076, 12, 4746, 262, 1450, 8367, 284, 32273, 29310, 14, 1207, 262, 4580, 414, 1908, 1691, 416, 597, 1991, 14, 507, 258, 4240, 289, 597, 2888, 12, 378, 5962, 418, 470, 9386, 332, 378, 20746, 382, 84, 6576, 262, 12167, 5007, 12, 2324, 12, 543, 41, 438, 4539, 8782, 289, 41022, 8848, 258, 37973, 12, 288, 289, 4316, 761, 1018, 1011, 5005, 971, 809, 414, 46351, 402, 262, 302, 31269, 281, 7877, 12, 4568, 378, 7842, 343, 262, 877, 24081, 281, 500, 262, 1587, 382, 83, 47997, 14, 362, 1630, 900, 262, 37441, 12, 33471, 4189, 332, 7877, 710, 310, 12686, 258, 2878, 409, 11538, 382, 83, 21084, 333, 3302, 2087, 14, 2094, 2839, 12, 378, 997, 446, 643, 7877, 382, 83, 16178, 4011, 288, 6654, 1148, 284, 262, 1047, 281, 262, 1600, 14, 617, 414, 262, 753, 650, 258, 4289, 683, 634, 17459, 14, 543, 55, 8546, 511, 20127, 540, 6638, 327, 33471, 12, 288, 333, 3302, 3986, 12, 378, 414, 1075, 19450, 284, 258, 8178, 21196, 288, 6654, 402, 258, 3602, 1205, 44484, 12, 8679, 1461, 8221, 289, 2594, 1148, 284, 8213, 14, 199, 13181, 2370, 1704, 12, 5567, 7044, 447, 263, 14289, 521, 475, 12, 258, 6608, 19527, 12, 7118, 289, 848, 2497, 281, 262, 21744, 1190, 5794, 4982, 332, 262, 7582, 619, 438, 634, 33144, 284, 3449, 363, 2880, 258, 1127, 281, 29948, 371, 13751, 683, 11191, 9, 288, 19535, 283, 409, 2185, 332, 262, 1196, 683, 634, 24508, 409, 262, 4127, 1664, 281, 262, 12167, 1453, 17210, 51, 484, 589, 399, 834, 199, 461, 21744, 281, 3472, 7877, 20209, 258, 2178, 2981, 643, 26401, 4539, 3112, 500, 680, 31436, 1562, 3618, 12, 4991, 14, 7877, 683, 10662, 262, 11941, 1673, 281, 332, 4494, 488, 3312, 641, 1638, 284, 2420, 6798, 14, 809, 414, 258, 533, 590, 1033, 258, 14229, 309, 14964, 11413, 333, 942, 590, 14889, 1148, 12, 23505, 284, 332, 2698, 3472, 9376, 12, 590, 1092, 1033, 2938, 3394, 281, 12630, 46593, 12, 635, 6011, 683, 4985, 602, 289, 4805, 597, 3779, 27, 288, 356, 311, 16138, 12, 332, 12, 719, 378, 288, 262, 9671, 24496, 281, 262, 31618, 1264, 840, 438, 634, 3259, 2680, 289, 2680, 12, 638, 1908, 710, 438, 634, 2948, 1450, 38339, 266, 1875, 12, 726, 15409, 281, 5134, 16059, 27, 327, 378, 710, 432, 438, 6041, 289, 16380, 602, 332, 500, 332, 493, 683, 726, 1025, 289, 2480, 12, 288, 2851, 500, 332, 493, 840, 3136, 474, 8303, 13, 45855, 289, 3174, 327, 12, 710, 310, 513, 5550, 694, 597, 1453, 622, 356, 683, 634, 694, 262, 5348, 281, 717, 1548, 343, 33047, 288, 37218, 12, 590, 1033, 670, 281, 3178, 40301, 288, 7290, 289, 4644, 262, 21448, 5260, 281, 2238, 288, 474, 4304, 4539, 20665, 275, 548, 414, 262, 1811, 281, 262, 2948, 1450, 12, 343, 356, 520, 634, 262, 1811, 281, 748, 536, 31471, 38339, 555, 275, 548, 281, 262, 1800, 288, 3096, 281, 262, 533, 590, 414, 6315, 3472, 284, 14588, 1230, 8851, 12, 288, 590, 6967, 2208, 4758, 981, 352, 1098, 1443, 11134, 2044, 597, 16431, 622, 2421, 1073, 357, 1562, 683, 634, 5082, 402, 258, 533, 7510, 289, 258, 1193, 1274, 900, 258, 12630, 288, 8216, 15409, 4539, 199, 4765, 552, 281, 262, 689, 26315, 281, 1534, 1054, 29948, 895, 382, 61, 1127, 803, 438, 17459, 262, 533, 3147, 6964, 493, 6918, 289, 310, 1479, 327, 1450, 311, 3514, 9187, 12, 962, 284, 3712, 5029, 352, 474, 2178, 1769, 14, 362, 271, 1578, 325, 590, 6654, 262, 5450, 41908, 281, 262, 4459, 311, 281, 10651, 513, 1971, 622, 414, 262, 11029, 488, 378, 738, 14, 362, 1472, 12118, 15366, 281, 4991, 14, 7877, 349, 262, 1548, 3147, 2478, 3259, 579, 262, 2948, 1450, 14, 33471, 382, 83, 23576, 414, 258, 9210, 24672, 12, 1597, 12983, 416, 262, 4544, 1043, 12901, 402, 262, 31618, 1264, 12, 288, 284, 13214, 352, 474, 1769, 994, 262, 1467, 2156, 829, 14, 362, 2077, 281, 258, 1262, 533, 402, 262, 1158, 281, 351, 13889, 260, 1776, 5131, 262, 1991, 513, 6912, 622, 356, 311, 3491, 402, 262, 2077, 281, 4015, 281, 1548, 284, 4448, 27, 538, 284, 7109, 893, 12, 33471, 12, 398, 624, 343, 597, 23576, 414, 12, 412, 310, 2991, 289, 438, 634, 747, 5825, 12, 22931, 12, 622, 414, 332, 1436, 27042, 590, 19076, 2208, 962, 3696, 262, 15615, 281, 15467, 262, 753, 6654, 409, 6601, 5774, 360, 14, 423, 3644, 260, 382, 83, 685, 311, 432, 564, 25791, 283, 343, 33471, 382, 83, 27, 538, 281, 262, 777, 1548, 12, 33471, 15592, 262, 2650, 10625, 38339, 67, 6780, 281, 262, 1408, 389, 1894, 12, 6008, 12, 538, 2049, 289, 310, 10048, 352, 262, 36332, 4362, 12, 343, 262, 1158, 281, 951, 533, 710, 310, 7864, 1461, 641, 4098, 2014, 14, 12506, 262, 31618, 1264, 10993, 12, 423, 3644, 260, 710, 438, 634, 20939, 402, 597, 19589, 27, 538, 907, 258, 3653, 6266, 25134, 710, 438, 634, 1480, 3191, 258, 1587, 327, 262, 41727, 281, 258, 32415, 776, 42117, 14, 5587, 258, 533, 710, 438, 634, 747, 513, 14542, 309, 11232, 907, 284, 2169, 6530, 622, 414, 22083, 20790, 284, 3373, 14, 1265, 343, 378, 8838, 289, 1426, 351, 13889, 260, 900, 262, 2129, 281, 262, 1450, 683, 634, 4729, 12, 288, 635, 597, 4604, 414, 16442, 2208, 32686, 6266, 4494, 564, 1691, 343, 356, 840, 310, 28999, 1323, 17942, 962, 2086, 289, 262, 1587, 12, 33471, 1175, 438, 3478, 289, 1037, 597, 685, 18046, 402, 951, 8002, 6266, 533, 343, 258, 5825, 622, 18342, 6539, 12, 343, 258, 697, 6094, 281, 262, 909, 753, 9500, 14, 12506, 378, 10993, 284, 2841, 11410, 12, 2742, 3973, 47242, 710, 438, 442, 31978, 1148, 12, 288, 438, 4086, 1148, 343, 552, 590, 683, 3259, 351, 284, 22739, 581, 528, 13735, 333, 474, 1479, 12, 288, 551, 683, 15170, 474, 9108, 289, 474, 4350, 5678, 14, 362, 40315, 13, 26872, 281, 42395, 3316, 48519, 8554, 1148, 416, 262, 5712, 2581, 12, 288, 356, 8554, 1148, 551, 416, 262, 3788, 8718, 9260, 281, 262, 1548, 4568, 378, 2296, 289, 4229, 14, 809, 15592, 12, 2851, 12, 258, 1532, 281, 10625, 332, 311, 402, 747, 1483, 1172, 27, 327, 378, 432, 742, 47411, 597, 981, 12, 288, 15170, 356, 5678, 327, 36436, 1548, 289, 27645, 1030, 352, 1148, 12, 538, 378, 8162, 262, 7548, 281, 962, 32765, 288, 4785, 751, 402, 597, 1011, 4304, 4539, 1778, 2742, 3973, 895, 590, 10169, 726, 1988, 13, 22556, 1175, 39394, 332, 552, 3147, 524, 639, 3259, 3027, 4314, 303, 4028, 333, 258, 1479, 332, 840, 432, 808, 6160, 356, 520, 4073, 1914, 288, 6318, 289, 597, 1971, 14, 617, 710, 438, 634, 513, 21595, 289, 10716, 1548, 12, 719, 378, 683, 634, 9577, 327, 262, 5712, 2581, 27, 538, 907, 493, 1175, 12299, 332, 356, 311, 258, 12689, 5251, 289, 726, 661, 590, 853, 11987, 281, 351, 5574, 706, 7506, 12, 896, 493, 619, 310, 2635, 564, 289, 685, 343, 289, 37883, 2238, 12, 288, 289, 1713, 22257, 284, 262, 4020, 281, 262, 7337, 13, 4302, 264, 4539, 4451, 262, 6654, 281, 42395, 3316, 48519, 311, 432, 289, 310, 22809, 1049, 12, 4190, 332, 356, 3828, 1480, 36436, 258, 871, 281, 1766, 289, 552, 590, 683, 10705, 500, 332, 638, 311, 281, 37883, 776, 284, 332, 6699, 281, 10044, 289, 488, 258, 14268, 17118, 311, 6449, 402, 262, 1172, 9502, 281, 12516, 14, 199, 13958, 33471, 414, 262, 7839, 281, 258, 5523, 281, 48089, 1813, 12, 357, 414, 552, 281, 258, 1293, 398, 624, 1548, 590 ]

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

[ 7118, 351, 5574, 706, 33228, 12, 356, 311, 5678, 289, 1527, 14, 998, 438, 262, 4892, 281, 258, 837, 4560, 4758, 327, 262, 4347, 332, 543, 1054, 3472, 382, 83, 9934, 414, 6192, 284, 3449, 288, 6860, 409, 18854, 20899, 538, 262, 2185, 284, 1164, 281, 445, 11020, 17734, 311, 12, 39263, 327, 262, 1389, 281, 3489, 12, 45188, 409, 262, 650, 384, 3058, 14, 1239, 311, 3514, 43384, 284, 262, 816, 2696, 332, 262, 21744, 7582, 414, 3778, 284, 3449, 12, 343, 629, 281, 262, 398, 301, 389, 10358, 261, 849, 281, 262, 2742, 3973, 1878, 438, 634, 3696, 289, 2016, 284, 332, 1587, 4539, 1207, 356, 311, 432, 16138, 332, 2486, 4983, 683, 3486, 289, 524, 352, 726, 21931, 281, 445, 1894, 14, 362, 6048, 5997, 414, 284, 4887, 262, 603, 394, 281, 2742, 3973, 289, 5320, 262, 543, 5264, 281, 29303, 511, 752, 262, 14145, 281, 15821, 2478, 1461, 468, 416, 262, 6465, 281, 258, 8156, 4539, 199, 4765, 258, 1196, 289, 9934, 3472, 7877, 803, 438, 634, 6860, 409, 18854, 311, 3514, 9187, 27, 288, 1244, 717, 9988, 710, 438, 634, 16376, 309, 24587, 12, 735, 538, 16376, 41251, 311, 262, 5450, 8049, 281, 262, 2178, 6266, 2665, 31, 1052, 262, 10214, 281, 18854, 382, 83, 9988, 414, 3701, 333, 258, 1196, 3778, 284, 3449, 12, 1765, 513, 622, 262, 9934, 281, 4991, 14, 7877, 414, 4896, 14, 617, 1175, 438, 634, 4711, 289, 4743, 951, 533, 590, 840, 13305, 1116, 597, 1274, 12, 2113, 343, 3472, 357, 343, 3472, 347, 22439, 385, 14, 362, 742, 5317, 590, 683, 726, 5424, 289, 1969, 643, 262, 34575, 333, 4991, 14, 7877, 382, 83, 1766, 540, 4991, 14, 7656, 12, 590, 1982, 3472, 333, 262, 1529, 367, 281, 3302, 12, 288, 4991, 14, 23120, 12, 552, 281, 262, 13844, 38031, 12, 590, 311, 3472, 281, 262, 9347, 4539, 617, 1026, 432, 1764, 332, 726, 2781, 414, 1033, 333, 262, 981, 281, 4991, 14, 23120, 12, 1244, 4991, 14, 7656, 414, 333, 262, 1636, 281, 942, 28546, 402, 262, 13889, 882, 27, 288, 262, 30455, 2819, 1033, 333, 4991, 14, 24271, 472, 2471, 735, 942, 13889, 882, 540, 5602, 281, 14, 1207, 683, 500, 262, 2209, 281, 262, 7371, 634, 10146, 1166, 409, 262, 1027, 650, 12, 356, 311, 432, 409, 500, 16138, 332, 543, 280, 8114, 511, 710, 438, 634, 262, 888, 12, 1244, 289, 2400, 332, 1175, 438, 634, 262, 1638, 8097, 409, 402, 262, 48089, 1813, 14, 1057, 8114, 311, 432, 564, 2865, 3259, 579, 343, 5317, 281, 351, 23740, 434, 1713, 281, 1991, 16124, 14, 362, 2520, 384, 438, 6318, 752, 1562, 262, 2091, 281, 14588, 520, 14563, 468, 289, 6160, 748, 29775, 33118, 333, 1478, 1323, 680, 4231, 4083, 309, 14, 3692, 18713, 311, 12, 332, 12, 719, 951, 533, 590, 2991, 837, 4065, 409, 3618, 683, 634, 4387, 333, 262, 2087, 367, 281, 3302, 12, 1567, 710, 438, 6318, 5881, 992, 343, 384, 438, 2063, 602, 647, 12, 288, 332, 2877, 262, 1378, 661, 710, 438, 36215, 18845, 474, 1025, 289, 310, 2196, 258, 1988, 13, 71, 36411, 4564, 14, 617, 710, 432, 310, 258, 909, 5252, 6309, 2296, 12, 332, 262, 3916, 281, 262, 1587, 311, 409, 262, 3468, 281, 726, 12391, 281, 27690, 421, 3644, 1390, 590, 803, 438, 262, 3830, 289, 871, 351, 21744, 7582, 12, 262, 21261, 289, 1465, 12979, 27393, 474, 3096, 12, 288, 262, 11944, 893, 288, 262, 6044, 35227, 289, 3270, 356, 568, 289, 641, 689, 7471, 4062, 26, 327, 262, 13111, 281, 552, 281, 942, 4062, 1285, 310, 10249, 289, 262, 2178, 1349, 14, 3923, 1026, 432, 1814, 284, 717, 27378, 343, 332, 14, 199, 74, 1779, 32415, 6210, 46053, 12, 258, 10295, 4076, 12, 4746, 262, 1450, 8367, 284, 32273, 29310, 14, 1207, 262, 4580, 414, 1908, 1691, 416, 597, 1991, 14, 507, 258, 4240, 289, 597, 2888, 12, 378, 5962, 418, 470, 9386, 332, 378, 20746, 382, 84, 6576, 262, 12167, 5007, 12, 2324, 12, 543, 41, 438, 4539, 8782, 289, 41022, 8848, 258, 37973, 12, 288, 289, 4316, 761, 1018, 1011, 5005, 971, 809, 414, 46351, 402, 262, 302, 31269, 281, 7877, 12, 4568, 378, 7842, 343, 262, 877, 24081, 281, 500, 262, 1587, 382, 83, 47997, 14, 199, 461, 1630, 900, 262, 37441, 12, 33471, 4189, 332, 7877, 710, 310, 12686, 258, 2878, 409, 11538, 382, 83, 21084, 333, 3302, 2087, 14, 2094, 2839, 12, 378, 997, 446, 643, 7877, 382, 83, 16178, 4011, 288, 6654, 1148, 284, 262, 1047, 281, 262, 1600, 14, 617, 2918, 3596, 1267, 367, 12, 4091, 2245, 284, 4754, 14894, 501, 6503, 333, 258, 22873, 289, 42292, 69, 416, 262, 4760, 577, 281, 262, 1587, 14, 328, 8376, 284, 262, 2931, 281, 491, 18848, 12, 262, 2241, 3453, 281, 4754, 14894, 12, 12270, 1166, 289, 445, 22873, 12, 3837, 434, 281, 262, 18927, 382, 16272, 289, 577, 416, 262, 32813, 45675, 3296, 14, 15375, 1925, 12, 262, 7065, 32040, 17621, 5240, 332, 4859, 289, 15654, 262, 1374, 311, 432, 351, 7607, 2129, 14, 617, 382, 83, 500, 2264, 12, 577, 281, 777, 18979, 2948, 8893, 332, 438, 634, 327, 4146, 28703, 262, 2981, 5661, 27, 343, 281, 2764, 12, 9005, 14, 199, 35151, 280, 520, 10800, 634, 2063, 402, 748, 343, 262, 6760, 831, 262, 4978, 288, 262, 3161, 12953, 1190, 572, 432, 2721, 2578, 289, 2920, 14, 362, 3296, 288, 262, 3387, 281, 14894, 349, 914, 579, 343, 17191, 288, 43422, 885, 416, 963, 536, 343, 354, 840, 5773, 7436, 14, 507, 262, 3296, 12, 4978, 2679, 31421, 12, 288, 262, 3776, 4583, 311, 7356, 14, 507, 262, 3387, 12, 262, 11462, 2679, 311, 513, 10800, 826, 13, 19891, 3161, 12, 288, 262, 2893, 11842, 349, 1443, 371, 3859, 1744, 288, 8563, 14, 16586, 1562, 262, 1587, 7410, 6611, 416, 4906, 284, 16271, 12, 262, 3404, 288, 3392, 1744, 281, 262, 3296, 438, 634, 7684, 12134, 333, 262, 2178, 281, 14894, 12, 4406, 284, 4754, 4006, 288, 262, 6825, 31887, 14, 199, 815, 1501, 12, 445, 38743, 281, 258, 18567, 986, 281, 6569, 412, 284, 1203, 577, 310, 9523, 289, 262, 1507, 46523, 4289, 12, 43467, 358, 13, 34, 1241, 337, 14, 990, 13, 34, 1241, 337, 14938, 289, 1132, 284, 8999, 752, 258, 1400, 1360, 17678, 12, 288, 445, 1789, 3302, 12, 3632, 262, 753, 41696, 9787, 6964, 262, 2981, 520, 2991, 284, 2818, 829, 14, 339, 22994, 289, 956, 262, 6964, 9787, 896, 748, 2668, 332, 358, 13, 34, 1241, 337, 12, 590, 311, 22405, 327, 597, 12104, 12, 6832, 1721, 356, 284, 597, 4157, 14, 2561, 638, 311, 747, 7144, 12, 356, 311, 2755, 432, 18211, 289, 1755, 332, 2907, 590, 349, 284, 1132, 752, 258, 17678, 438, 1677, 24663, 284, 726, 1597, 9626, 14, 9392, 378, 311, 1025, 2562, 284, 1132, 357, 432, 12, 358, 13, 34, 1241, 337, 520, 12134, 4760, 16824, 2447, 262, 2178, 2981, 12, 258, 2893, 1479, 281, 262, 46523, 2948, 8893, 14, 2855, 13671, 262, 7065, 32040, 17621, 12, 914, 258, 2123, 12020, 281, 262, 4882, 43299, 1562, 14894, 382, 83, 6611, 12, 289, 358, 13, 34, 1241, 337, 14, 3933, 281, 656, 30816, 12, 378, 311, 3601, 333, 5251, 327, 1450, 10037, 12, 262, 742, 1507, 1600, 281, 1117, 284, 717, 258, 42955, 3824, 14, 1583, 4365, 1393, 597, 38743, 277, 21696, 1993, 12, 358, 13, 34, 1241, 337, 520, 954, 332, 719, 262, 3387, 42292, 270, 12, 378, 501, 17430, 1468, 3470, 382, 65, 284, 262, 3296, 12, 284, 351, 3672, 289, 848, 4760, 14894, 10141, 351, 8360, 1117, 14, 199, 5935, 753, 2647, 289, 445, 3142, 414, 15952, 26, 1084, 1206, 777, 7827, 564, 29081, 885, 416, 552, 1382, 1045, 616, 1870, 284, 262, 753, 1274, 31, 654, 311, 432, 262, 1027, 343, 262, 1378, 5003, 1975, 12, 843, 5815, 3615, 2635, 289, 20077, 3615, 12, 488, 284, 1713, 2635, 289, 29948, 14, 507, 262, 46523, 1617, 12, 20077, 288, 3404, 3615, 8774, 902, 1073, 262, 1587, 7410, 6611, 14, 4183, 12, 552, 803, 1180, 289, 27079, 343, 262, 2893, 1479, 281, 14894, 382, 83, 1658, 14, 617, 3141, 289, 550, 332, 14894, 382, 83, 6611, 948, 414, 32969, 16877, 27, 7798, 409, 262, 650, 281, 2114, 2959, 792, 29136, 1286, 284, 3072, 14, 617, 382, 83, 343, 719, 4906, 16477, 568, 281, 262, 2439, 288, 12493, 258, 2144, 6452, 409, 5511, 14, 1265, 1129, 12, 900, 653, 2390, 258, 1820, 12, 262, 661, 1321, 332, 289, 1311, 14, 199, 8898, 262, 22873, 333, 7697, 327, 1863, 1630, 12, 262, 2070, 714, 6452, 1261, 520, 432, 634, 986, 14, 16670, 12, 281, 1769, 12, 311, 258, 3845, 14, 14894, 311, 552, 281, 262, 689, 2341, 13, 5071, 5112, 281, 3072, 12, 538, 689, 281, 262, 1587, 382, 83, 2341, 311, 891, 284, 262, 3387, 14, 1775, 262, 552, 1158, 12, 262, 3296, 1285, 432, 1321, 289, 2827, 258, 714, 10179, 843, 262, 3387, 4393, 500, 281, 262, 4221, 4699, 12, 258, 2070, 1479, 327, 907, 513, 31887, 14, 1775, 262, 536, 1158, 12, 629, 935, 2341, 343, 258, 2070, 1374, 332, 840, 1465, 262, 777, 5497, 8872, 719, 493, 524, 1045, 616, 25203, 14, 40564, 6274, 327, 262, 2341, 4699, 619, 2594, 262, 777, 5497, 1870, 17102, 4464, 719, 262, 7663, 6345, 616, 7475, 31952, 14, 199, 1759, 354, 412, 935, 12, 445, 3142, 311, 4095, 2302, 12, 1691, 513, 564, 622, 262, 3387, 2662, 4728, 543, 684, 1321, 289, 42292, 69, 511, 288, 29948, 911, 7475, 14, 1583, 1437, 1235, 262, 3749, 12, 552, 1812, 289, 1755, 262, 1789, 12, 538, 552, 803, 551, 1755, 262, 1843, 26, 735, 501, 4151, 719, 262, 1507, 2981, 281, 14894, 1026, 284, 955, 7663, 31, 339, 749, 15952, 2721, 579, 942, 590, 438, 474, 5332, 284, 262, 3387, 538, 2016, 284, 262, 3296, 14, 3900, 262, 22873, 414, 6915, 12, 748, 281, 656, 661, 438, 4288, 1047, 289, 262, 3387, 12, 538, 258, 3805, 1127, 1261, 3353, 284, 262, 3296, 14, 1729, 501, 4151, 289, 656, 4948, 1557, 13, 23648, 661, 363, 420, 8968, 10831, 9, 719, 262, 3296, 1026, 284, 955, 17430, 1468, 3470, 382, 65, 333, 358, 13, 34, 1241, 337, 382, 83, 355, 317, 31, 990, 13, 34, 1241, 337, 501, 647, 416, 351, 546, 25016, 281, 4760, 4978, 288, 8360, 3095, 289, 962, 3626, 39799, 281, 445, 1677, 9238, 284, 597, 7380, 34648, 2390, 281, 14894, 12, 288, 262, 1761, 710, 310, 15334, 14, 199, 1577, 4533, 710, 258, 46523, 7663, 10507, 289, 262, 1423, 281, 3072, 12, 262, 1423, 281, 262, 904, 31, 362, 3161, 3942, 12115, 332, 258, 46523, 7663, 710, 44592, 536, 29948, 895, 1161, 262, 9768, 14, 3160, 5112, 16961, 1795, 5126, 12, 5815, 9460, 281, 1417, 619, 1563, 432, 742, 332, 493, 438, 258, 1025, 289, 42292, 69, 12, 538, 619, 907, 1563, 7313, 289, 524, 564, 14, 1309, 445, 1894, 281, 25298, 6837, 262, 1025, 3005, 289, 717, 258, 7107, 3714, 5902, 31, 199, 4164, 638, 907, 258, 1025, 3005, 31, 20252, 1745, 289, 3315, 332, 262, 2981, 501, 17438, 7663, 14, 9392, 445, 27158, 323, 44747, 4469, 3639, 258, 14772, 12, 9787, 12, 288, 12448, 22873, 357, 752, 8674, 43299, 311, 258, 2541, 332, 742, 650, 501, 2235, 14, 339, 501, 4969, 310, 1597, 445, 2664, 284, 262, 3777, 3263, 12, 288, 339, 3624, 445, 2154, 1073, 262, 12294, 22873, 284, 262, 3493, 289, 10389, 513, 1417, 333, 262, 2664, 14, 339, 16233, 354, 289, 1012, 356, 284, 262, 3228, 27, 262, 1761, 1551, 258, 992, 8523, 1374, 622, 2662, 14894, 14, 199, 28964, 20732, 327, 1018, 1863, 6959, 12, 843, 339, 501, 6789, 288, 4223, 777, 2907, 284, 2169, 2212, 333, 6086, 5497, 281, 262, 2241, 7421, 288, 6789, 474, 11543, 2241, 1744, 289, 332, 281, 262, 1519, 1618, 14, 199, 35563, 9272, 402, 4343, 608, 20197, 1380, 363, 3329, 500, 9, 199, 13, 10306, 10086, 310, 258, 577, 281, 625, 12887, 8036, 822, 4107, 3986, 12, 3239, 199, 13, 3804, 264, 1708, 24483, 26, 10178, 1392, 25096, 2060, 284, 5093, 1378, 16722, 822, 3596, 4060, 12, 3239, 199, 13, 1544, 2064, 10812, 16474, 1918, 5318, 822, 3753, 5782, 12, 3134, 40966, 40797, 4905, 445, 630, 333, 3753, 366, 306, 12, 409, 30257, 824, 14, 1733, 9671, 14, 1544, 339, 1527, 543, 40966, 40797, 1198, 262, 753, 2577, 354, 1284, 281, 311 ]

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

[ 262, 10136, 8007, 1855, 4809, 12, 5638, 579, 543, 21709, 18748, 15796, 971, 1052, 354, 349, 258, 1670, 513, 4299, 289, 4002, 2679, 12, 354, 619, 551, 1284, 579, 258, 49061, 13615, 357, 13535, 2778, 6210, 363, 80, 1224, 1124, 595, 2561, 356, 382, 83, 3654, 1250, 262, 543, 38, 389, 2125, 281, 31622, 1198, 258, 1437, 7736, 311, 543, 36, 17704, 971, 9442, 4002, 363, 16727, 394, 67, 1526, 409, 1220, 1741, 12, 3325, 361, 33625, 1179, 409, 1624, 2277, 9, 288, 258, 1730, 13, 31537, 264, 363, 1955, 653, 1529, 829, 756, 339, 382, 68, 690, 289, 1803, 258, 4989, 6801, 281, 445, 8839, 12, 288, 1829, 356, 382, 83, 258, 8904, 3563, 289, 734, 550, 7776, 262, 4184, 14, 199, 4688, 382, 83, 262, 2080, 281, 45603, 26, 507, 262, 428, 273, 1820, 5356, 12, 26271, 23891, 7491, 10439, 5553, 7410, 1422, 653, 2317, 281, 262, 5441, 3718, 12, 1229, 38240, 363, 21870, 595, 809, 14651, 351, 17566, 289, 22900, 284, 262, 9161, 284, 8287, 12, 288, 25968, 12511, 638, 12, 488, 349, 34772, 289, 4693, 14, 362, 47003, 1234, 1503, 2635, 258, 20010, 12, 4935, 47574, 8287, 288, 262, 9161, 284, 26712, 5356, 14, 7154, 1569, 840, 310, 4557, 41893, 284, 262, 9161, 12, 356, 683, 289, 310, 15594, 288, 6226, 14, 362, 1548, 34115, 363, 76, 1506, 9, 683, 289, 4430, 10908, 327, 1220, 1741, 327, 262, 21344, 948, 14, 7507, 638, 742, 962, 1927, 12681, 2341, 327, 552, 1115, 12, 262, 2341, 24213, 4310, 13171, 327, 1220, 1741, 288, 15796, 14, 2094, 311, 1829, 45603, 311, 8611, 327, 1220, 15796, 14, 199, 5008, 661, 1755, 445, 19829, 289, 310, 262, 1045, 284, 2345, 12, 288, 339, 1284, 262, 7554, 2564, 311, 12597, 14, 362, 1189, 3679, 382, 84, 914, 332, 1569, 1206, 258, 19829, 12, 538, 332, 262, 19829, 414, 262, 1483, 289, 1228, 8387, 289, 310, 4557, 41893, 14, 362, 9161, 2286, 289, 310, 24890, 284, 1478, 327, 26199, 289, 310, 41893, 12, 538, 356, 9085, 382, 84, 310, 24890, 5907, 809, 3951, 258, 19829, 14, 1569, 3951, 258, 19829, 564, 332, 2426, 661, 840, 310, 1531, 8387, 284, 7776, 14, 199, 6517, 468, 432, 3807, 332, 2564, 12, 343, 384, 9016, 262, 16197, 281, 3346, 1730, 12, 262, 8084, 281, 262, 904, 363, 8314, 1220, 26, 1694, 595, 339, 1362, 382, 84, 1284, 384, 713, 7140, 289, 2984, 333, 262, 3050, 281, 3346, 12, 538, 384, 713, 289, 1755, 1829, 262, 8024, 2215, 2426, 9329, 14, 1569, 4237, 258, 19829, 363, 1054, 3619, 24626, 9, 432, 343, 351, 1045, 289, 2345, 12, 538, 343, 258, 1483, 289, 1228, 468, 289, 310, 1531, 8387, 284, 7776, 363, 8518, 1730, 382, 83, 2173, 41800, 10547, 327, 680, 13932, 595, 3346, 1206, 432, 1629, 742, 289, 310, 18363, 279, 409, 343, 258, 3878, 12, 538, 289, 13503, 568, 2426, 981, 288, 1400, 12, 289, 1558, 262, 918, 327, 258, 714, 16846, 352, 8387, 14, 1925, 368, 3179, 3306, 72, 4124, 380, 2418, 199, 6517, 382, 83, 3990, 262, 5894, 281, 9824, 23387, 402, 12552, 258, 1541, 327, 262, 753, 650, 1, 1265, 735, 840, 310, 258, 1437, 3857, 289, 1177, 622, 262, 4055, 7400, 318, 1140, 382, 83, 9119, 725, 377, 31, 4732, 515, 283, 289, 262, 1532, 1427, 481, 6546, 5134, 318, 32699, 12, 445, 2942, 311, 552, 281, 262, 36577, 281, 22872, 12, 962, 262, 6259, 1532, 281, 445, 10695, 891, 284, 262, 4666, 14, 199, 5888, 1950, 616, 289, 2046, 287, 284, 4923, 288, 1952, 258, 5658, 13964, 742, 35642, 409, 262, 909, 1489, 12, 356, 520, 258, 2994, 1180, 288, 311, 891, 742, 409, 22252, 22872, 14, 1444, 12, 5094, 962, 564, 9749, 288, 4055, 12, 356, 311, 8427, 343, 351, 9693, 1532, 402, 23340, 3715, 7306, 12, 352, 258, 14744, 1822, 8445, 402, 5584, 6741, 14, 199, 1201, 2942, 311, 551, 7684, 18945, 12, 1952, 4333, 338, 13, 5071, 5278, 488, 412, 310, 8181, 3945, 288, 4528, 738, 289, 5462, 2341, 14, 4714, 10492, 412, 551, 310, 738, 289, 848, 30445, 288, 748, 3011, 349, 891, 352, 25225, 1690, 289, 262, 11491, 281, 577, 281, 262, 10492, 14, 199, 14035, 258, 26665, 13964, 12, 278, 7789, 11990, 349, 1533, 289, 3374, 352, 7800, 402, 8875, 334, 275, 2314, 819, 2971, 602, 14, 1239, 349, 747, 4500, 10510, 599, 12, 488, 412, 310, 1690, 289, 262, 946, 2449, 281, 262, 2676, 10510, 275, 402, 1159, 2074, 14, 199, 22861, 1125, 770, 2091, 289, 8313, 819, 4244, 284, 262, 3031, 24611, 2752, 12, 1817, 748, 1203, 3011, 349, 891, 284, 1776, 3031, 22108, 882, 14, 654, 2833, 311, 1690, 289, 1159, 1672, 332, 3879, 262, 1666, 5033, 12, 14398, 356, 289, 1426, 26862, 622, 356, 414, 14, 6070, 1574, 438, 747, 357, 909, 2730, 2291, 289, 29820, 288, 2833, 501, 1908, 647, 1047, 289, 735, 493, 540, 288, 12, 2162, 262, 1436, 3011, 4567, 12, 638, 501, 310, 747, 513, 22851, 725, 11990, 638, 14, 199, 13, 797, 822, 199, 30402, 394, 12, 415, 14, 328, 14, 363, 16421, 595, 328, 32938, 38418, 281, 1427, 481, 6546, 363, 34, 3169, 393, 16671, 9, 30297, 281, 262, 10293, 30229, 9730, 12, 15501, 12, 38435, 13, 45345, 18474, 26, 1143, 14, 25107, 23, 15, 3275, 5058, 5977, 19, 199, 33940, 14, 10136, 2985, 518, 5134, 318, 32699, 14, 10978, 2477, 409, 5697, 8923, 2102, 268, 14, 27788, 14, 2279, 15, 25725, 15, 3981, 481, 6546, 63, 24660, 318, 32699, 25431, 6919, 333, 3604, 23290, 12, 3144, 14, 199, 11429, 8174, 17341, 7424, 6214, 14, 1427, 481, 6546, 5134, 318, 32699, 14, 507, 26, 23340, 3144, 14, 23340, 3715, 7306, 281, 34568, 11503, 14, 17975, 3144, 14, 17, 14, 5697, 3038, 14, 73, 769, 78, 453, 10056, 14, 2279, 25431, 6919, 333, 3604, 23290, 12, 3144, 14, 43, 73, 312, 12759, 363, 45, 33625, 322, 9, 199, 2029, 513, 13100, 333, 445, 5445, 12, 935, 262, 16746, 289, 445, 5195, 12, 2075, 409, 3115, 4195, 14, 199, 1201, 2273, 382, 83, 1442, 24413, 311, 1389, 1257, 327, 262, 8320, 288, 34307, 8904, 2080, 281, 262, 12415, 338, 1951, 288, 262, 17529, 9050, 12, 281, 9363, 382, 2753, 6859, 333, 11526, 281, 3591, 12, 288, 262, 19569, 22350, 284, 262, 14089, 4576, 281, 9363, 352, 1569, 284, 262, 5146, 915, 281, 262, 7459, 1190, 9964, 16103, 579, 488, 339, 382, 304, 2684, 409, 3194, 12, 416, 1835, 4267, 12, 284, 2506, 829, 14, 6132, 262, 753, 3000, 281, 262, 2456, 363, 3551, 359, 2046, 26, 1816, 13, 5673, 26, 2134, 9, 311, 5372, 352, 1835, 4867, 40404, 322, 12, 4466, 4946, 333, 262, 8280, 7776, 4192, 284, 262, 9161, 12, 488, 2978, 289, 310, 36940, 3378, 653, 284, 1339, 281, 262, 6985, 1417, 281, 262, 338, 1951, 2080, 14, 1023, 445, 630, 384, 349, 5372, 5034, 352, 262, 40404, 322, 284, 963, 1442, 24413, 12, 339, 3114, 1705, 333, 445, 3178, 14, 199, 3487, 1398, 26, 262, 3974, 402, 963, 35854, 1534, 29713, 61, 281, 258, 2390, 13, 6847, 25050, 289, 262, 9161, 27, 262, 1697, 281, 262, 2514, 335, 12, 416, 488, 262, 12957, 9291, 474, 3153, 288, 2773, 1073, 8321, 284, 17529, 2522, 27, 262, 45409, 281, 262, 33315, 288, 281, 262, 351, 1640, 283, 2341, 27, 288, 262, 40629, 14, 339, 3114, 1705, 1469, 2208, 262, 10692, 281, 262, 3153, 14, 199, 22781, 13, 25517, 311, 258, 5177, 4002, 8280, 26, 356, 311, 12, 284, 955, 12, 262, 753, 685, 4237, 402, 31741, 4693, 2208, 31828, 284, 262, 5000, 363, 11549, 661, 907, 1465, 258, 6821, 281, 819, 1863, 289, 474, 11672, 12, 564, 332, 493, 619, 9291, 474, 3153, 1073, 2476, 907, 258, 2123, 1969, 3675, 552, 16050, 258, 8280, 10692, 281, 262, 3153, 1073, 3426, 6473, 27, 1073, 963, 281, 262, 2879, 15683, 27, 2589, 14, 362, 3178, 1469, 7336, 352, 262, 2514, 335, 284, 262, 9161, 363, 3551, 359, 2046, 26, 2134, 13, 3090, 9, 311, 551, 552, 281, 262, 1604, 11620, 416, 262, 13121, 36872, 402, 748, 963, 5000, 12, 343, 577, 281, 262, 3178, 281, 262, 34948, 1257, 343, 489, 275, 2716, 322, 12, 11256, 281, 23065, 288, 16683, 13121, 27632, 281, 262, 3200, 35627, 778, 12, 332, 41513, 35600, 5617, 73, 373, 13, 58, 317, 324, 14, 199, 51, 38216, 391, 13, 40, 260, 31477, 12, 409, 18320, 23416, 12, 5151, 262, 10692, 281, 3153, 343, 351, 751, 36732, 281, 262, 7074, 1690, 289, 262, 9161, 288, 641, 2522, 1190, 572, 281, 748, 3375, 4896, 289, 7074, 12, 2824, 1411, 12, 288, 25368, 1411, 262, 9161, 14, 3645, 719, 262, 10836, 414, 5657, 288, 2507, 12, 378, 1175, 9291, 363, 36782, 12, 543, 31001, 299, 1411, 10626, 597, 3153, 1073, 8321, 284, 1043, 359, 1179, 14, 654, 2266, 21582, 281, 21344, 4677, 343, 258, 1894, 281, 9405, 831, 262, 17529, 2522, 288, 6742, 981, 14, 617, 2922, 258, 4494, 281, 23566, 388, 12, 281, 34141, 12, 258, 2497, 332, 552, 414, 7119, 284, 1765, 1842, 12, 284, 629, 918, 4106, 416, 262, 32248, 2074, 281, 2609, 981, 14, 363, 3086, 1158, 13, 25517, 402, 489, 1135, 20367, 12, 284, 262, 5000, 12, 414, 4926, 12, 5907, 493, 1910, 262, 9161, 8629, 357, 5197, 3188, 262, 18362, 281, 474, 9029, 2053, 2362, 3692, 1011, 1938, 301, 266, 336, 346, 1985, 12, 1972, 1073, 9162, 357, 8998, 6473, 12, 619, 310, 2063, 343, 258, 1894, 281, 8983, 10308, 290, 3270, 1727, 416, 262, 9161, 2522, 12, 21229, 333, 262, 1014, 281, 27492, 30098, 43722, 14, 199, 1577, 311, 262, 20740, 281, 45112, 552, 382, 83, 3153, 31, 3957, 12, 343, 258, 11790, 3947, 12, 343, 258, 20843, 332, 36561, 1914, 748, 281, 262, 1567, 352, 488, 356, 2318, 284, 2572, 12, 311, 409, 2162, 258, 1647, 3837, 281, 1048, 17956, 12, 288, 281, 262, 23565, 281, 981, 14, 2243, 317, 11342, 89, 317, 1190, 20154, 5021, 1190, 272, 351, 1624, 1436, 6701, 14, 13121, 311, 2958, 289, 819, 27, 819, 12, 6973, 11790, 12, 311, 6973, 10327, 289, 641, 2138, 14, 1635, 262, 6507, 281, 17645, 12, 543, 1054, 1211, 501, 310, 5967, 352, 1976, 281, 262, 4184, 12, 690, 5021, 1959, 1166, 289, 262, 2898, 971, 328, 1078, 577, 281, 445, 311, 19535, 279, 284, 445, 2266, 12, 6742, 21582, 14, 199, 1289, 6396, 332, 445, 2981, 311, 2997, 661, 511, 199, 2663, 339, 2252, 1379, 653, 25427, 312, 12759, 1323, 629, 5165, 333, 262, 8440, 281, 262, 12415, 338, 1951, 288, 641, 32878, 14, 654, 2273, 12, 2456, 752, 262, 1798, 281, 262, 1442, 24413, 284, 7051, 327, 258, 442, 73, 323, 363, 5129, 19157, 47301, 263, 12, 10679, 281, 42848, 12, 258, 12995, 371, 13, 13411, 3453, 327, 262, 1019, 281, 15500, 284, 16650, 38668, 12, 1250, 543, 66, 529, 8729, 2456, 21192, 5363, 311, 12, 45463, 12, 1323, 36159, 9521, 756, 339, 3733, 1765, 24116, 2266, 332, 339, 683, 1908, 8964, 1073, 284, 2914, 262, 1027, 918, 14, 199, 3428, 262, 3119, 281, 262, 338, 1951, 8440, 12, 1569, 5937, 9363, 12, 590, 520, 634, 616, 333, 262, 5882, 352, 8387, 12, 543, 5190, 1166, 12, 327, 487, 661, 438, 42482, 511, 363, 5485, 26, 23, 595, 328, 1293, 15073, 1704, 12, 635, 1569, 10872, 3689, 281, 9363, 363, 11448, 289, 4272, 602, 12, 9363, 42492, 327, 16034, 333, 11526, 281, 262, 661, 352, 262, 1798, 543, 4811, 803, 2997, 9050, 4430, 564, 41352, 1461, 2997, 661, 19008, 363, 86, 14, 2555, 595, 2094, 311, 12, 1569, 5695, 602, 9363, 382, 661, 12, 1106, 9363, 5145, 289, 602, 343, 1569, 382, 83, 661, 14, 36975, 289, 445, 5613, 12, 963, 281, 602, 5145, 289, 602, 11533, 284, 262, 3000, 1036, 12, 343, 543, 1054, 661, 511, 357, 543, 9186, 661, 511, 363, 22972, 41399, 46321, 27, 40319, 41399, 46321, 40319, 148, 245, 22972, 595, 19734, 281, 602, 5145, 289, 602, 12, 343, 1569, 1206, 284, 262, 4417, 17869, 289, 9363, 409, 262, 6898, 14396, 363, 35618, 673, 26, 23, 288, 1379, 317, 9, 343, 543, 2455, 661, 1198, 357, 352, 262, 42922, 5424, 12, 543, 1054, 957, 281, 3591, 21192, 295, 719, 1048, 5082, 258, 1627, 35267, 12, 281, 3953, 416, 445, 45915, 12, 1342, 618, 706, 16911, 14, 6205, 3074, 262, 1045, 12, 900, 1569, 18483, 432, 289, 4272, 602, 12, 538, 1261, 2244, 543, 41, 501, 432, 647, 616, 352, 602, 1198 ]

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