Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 4932, 296, 24250, 293, 296, 31364, 575, 21488, 454, 288, 31364, 575, 21488, 568, 3177, 267, 16030, 513, 25801, 610, 1875, 8410, 2265, 633, 14388, 4295, 267, 519, 2627, 540, 799, 568, 21235, 30788, 25801, 676, 1166, 12177, 609, 25801, 11103, 269, 634, 575, 21488, 568, 20522, 267, 17426, 543, 2636, 513, 1970, 19479, 3196, 269, 634, 8798, 2417, 2488, 513, 1505, 540, 17021, 5697, 2127, 540, 519, 2627, 540, 513, 4295, 25801, 676, 28729, 1166, 12177, 609, 25801, 11103, 563, 30238, 932, 9593, 923, 267, 5549, 269, 4793, 757, 912, 289, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 454, 763, 1459, 8798, 12211, 547, 606, 661, 11085, 24250, 293, 296, 31364, 575, 21488, 269, 2859, 3226, 267, 519, 8798, 12211, 547, 513, 575, 21488, 2348, 835, 610, 811, 2127, 4988, 676, 513, 25801, 6775, 1166, 12177, 563, 763, 5106, 540, 6671, 5907, 3937, 568, 3335, 10483, 676, 519, 5108, 540, 5925, 4908, 543, 5924, 13590, 5982, 538, 519, 5907, 5547, 787, 540, 519, 5907, 1062, 269, 1403, 711, 5265, 13104, 539, 267, 971, 5982, 666, 2014, 9645, 13779, 609, 20775, 3937, 269, 22353, 267, 621, 568, 2556, 547, 3927, 13104, 543, 2666, 782, 2959, 540, 5925, 4908, 543, 13590, 5982, 563, 1103, 8320, 1141, 519, 5982, 19356, 908, 3937, 568, 18385, 24428, 538, 513, 8708, 267, 2500, 31364, 949, 581, 12913, 3362, 998, 1697, 4070, 540, 519, 26456, 269, 1717, 267, 950, 519, 3937, 8027, 568, 3177, 609, 513, 11593, 1930, 762, 1569, 8470, 610, 7450, 267, 2500, 5925, 4908, 13779, 630, 27184, 296, 264, 610, 13590, 13779, 630, 4932, 296, 264, 31364, 6799, 811, 540, 513, 1966, 269, 3509, 5907, 19698, 971, 607, 2780, 11623, 941, 1500, 538, 519, 2250, 1510, 513, 2407, 1620, 540, 519, 1198, 540, 13148, 796, 3333, 1752, 539, 11700, 17007, 267, 971, 607, 1569, 9885, 269, 4935, 267, 9755, 543, 3755, 540, 4587, 5907, 3937, 723, 13986, 547, 22010, 519, 1377, 540, 661, 11085, 24250, 293, 296, 31364, 998, 27164, 7257, 10380, 540, 31364, 575, 2532, 1115, 1472, 891, 1569, 23761, 269, 2037, 743, 17007, 543, 3937, 799, 616, 11630, 547, 13590, 270, 2784, 1470, 325, 15968, 13779, 267, 552, 3052, 269, 8484, 267, 2780, 4836, 902, 267, 543, 2780, 11623, 267, 616, 1631, 2966, 547, 1331, 971, 31364, 575, 2532, 1115, 563, 3519, 14846, 661, 11085, 24250, 293, 296, 31364, 575, 2532, 1115, 949, 17663, 513, 25801, 1714, 770, 9593, 267, 513, 5679, 26860, 5911, 17450, 610, 513, 5679, 26860, 5911, 17450, 936, 606, 1714, 770, 9593, 545, 4295, 269, 1452, 31364, 575, 2532, 1115, 949, 581, 7923, 547, 606, 26456, 676, 678, 633, 1206, 267, 7143, 1091, 267, 610, 25336, 282, 676, 513, 6024, 267, 5066, 268, 11526, 14816, 4496, 17157, 267, 547, 799, 513, 31364, 575, 21488, 814, 1044, 7923, 267, 610, 676, 513, 14816, 540, 2604, 6213, 23287, 563, 763, 31364, 575, 21488, 568, 27358, 971, 602, 519, 575, 21488, 568, 4547, 883, 3346, 609, 513, 6378, 2627, 540, 519, 26456, 950, 519, 7450, 610, 8470, 568, 6806, 267, 3927, 27575, 1055, 519, 7522, 7934, 6382, 3335, 3177, 1063, 513, 7450, 610, 8470, 543, 519, 6587, 569, 6849, 2627, 2127, 540, 519, 8027, 269, 15316, 19383, 267, 1419, 1950, 538, 3337, 267, 616, 2966, 538, 1931, 547, 1683, 5021, 31364, 267, 1247, 10893, 519, 19479, 3196, 2838, 269, 1323, 1383, 540, 971, 513, 1970, 19479, 3196, 575, 21488, 568, 3254, 538, 16658, 269, 476, 272, 563, 763, 5122, 19428, 2838, 585, 2500, 31364, 814, 1044, 3177, 538, 1896, 2081, 269, 4432, 770, 9593, 545, 575, 2532, 1115, 616, 21235, 25801, 676, 6220, 30788, 25801, 6445, 518, 883, 519, 1714, 770, 9593, 1991, 547, 5250, 540, 519, 575, 21488, 269, 12379, 327, 575, 2532, 1115, 616, 4646, 689, 4496, 17450, 2348, 1164, 5122, 19428, 267, 543, 616, 3976, 20244, 25801, 269, 4432, 770, 9593, 270, 6996, 327, 575, 2532, 1115, 3335, 8415, 1312, 606, 1714, 770, 9593, 543, 513, 3810, 25801, 17450, 563, 19013, 267, 1247, 891, 2409, 1683, 7850, 31364, 267, 789, 849, 3648, 2333, 519, 1942, 543, 2597, 540, 519, 575, 21488, 607, 3379, 547, 513, 1875, 8410, 2265, 633, 575, 21488, 540, 2147, 2450, 543, 3337, 269, 10241, 5473, 5985, 11700, 17007, 267, 3226, 23825, 31364, 3156, 267, 10460, 4049, 2597, 9993, 267, 543, 3976, 17426, 31364, 575, 2532, 1115, 616, 5051, 8179, 1310, 563, 13010, 267, 519, 1377, 540, 19428, 267, 543, 3976, 31364, 267, 799, 666, 581, 5833, 1510, 23630, 4052, 7687, 593, 2597, 543, 1942, 568, 3908, 269, 4935, 621, 1131, 581, 25368, 547, 1683, 513, 1797, 540, 3246, 513, 3810, 25801, 661, 11085, 24250, 293, 296, 31364, 575, 21488, 799, 568, 1970, 538, 1942, 543, 17426, 563, 5194, 1966, 609, 6671, 2409, 540, 17021, 575, 2532, 1115, 25801, 14340, 950, 513, 575, 21488, 12122, 2147, 547, 602, 3254, 538, 16658, 269, 476, 272, 568, 1031, 269, 769, 1931, 547, 1683, 519, 5122, 15364, 2556, 585, 661, 11085, 24250, 293, 296, 31364, 267, 621, 568, 1152, 2556, 602, 7252, 476, 274, 543, 476, 275, 540, 575, 21488, 476, 272, 581, 25801, 269, 630, 4322, 7252, 476, 274, 543, 476, 275, 786, 581, 538, 6024, 3346, 609, 519, 7450, 543, 26456, 267, 6606, 267, 3976, 8108, 513, 6024, 5122, 4276, 1063, 519, 7450, 543, 26456, 267, 1247, 2627, 476, 273, 786, 581, 19316, 1996, 3294, 267, 950, 519, 7450, 610, 8470, 568, 6806, 4700, 769, 971, 3156, 267, 17021, 519, 3003, 575, 21488, 25801, 609, 25801, 6445, 518, 568, 3653, 995, 543, 8591, 11991, 2597, 267, 1247, 598, 14127, 513, 4496, 17450, 547, 519, 2627, 540, 519, 12150, 569, 8032, 575, 21488, 568, 1419, 2352, 543, 14427, 563, 13295, 621, 814, 1044, 5551, 538, 519, 31364, 2361, 547, 1683, 513, 17426, 267, 1970, 1942, 31364, 575, 21488, 267, 543, 2417, 547, 1683, 971, 513, 575, 21488, 799, 1223, 581, 28729, 21235, 25801, 936, 5551, 2127, 540, 922, 2627, 563, 306, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 454, 763, 1459, 8798, 936, 3699, 519, 11393, 540, 519, 1991, 1148, 676, 3246, 513, 31364, 575, 21488, 799, 949, 581, 4646, 540, 513, 25801, 610, 1875, 8410, 2265, 633, 14388, 4295, 267, 693, 2547, 513, 6712, 540, 519, 2627, 540, 799, 568, 21235, 30788, 25801, 676, 1166, 12177, 609, 25801, 11103, 269, 634, 4611, 575, 21488, 568, 20522, 267, 17426, 543, 3340, 513, 1970, 19479, 3196, 269, 634, 8798, 2417, 2488, 513, 1505, 540, 17021, 5697, 2127, 540, 519, 2627, 540, 513, 4295, 25801, 676, 9633, 532, 5697, 2127, 540, 519, 2627, 1991, 547, 6775, 1166, 12177, 563, 6097, 569, 267, 519, 1459, 8798, 12211, 547, 513, 575, 21488, 585, 31364, 606, 26456, 689, 661, 11085, 24250, 293, 296, 13779, 799, 13408, 513, 14388, 4295, 267, 519, 2627, 540, 799, 568, 28729, 1166, 18088, 609, 25801, 11103, 799, 616, 26356, 593, 513, 15098, 540, 1166, 12177, 23287, 547, 1106, 513, 25801, 4494, 972, 1575, 517, 563, 1103, 835, 20032, 540, 519, 8798, 267, 513, 1875, 8410, 2265, 633, 4295, 568, 1031, 267, 865, 602, 513, 1970, 1942, 267, 17426, 575, 21488, 568, 5833, 269, 769, 606, 4244, 20032, 540, 519, 8798, 267, 513, 25801, 4295, 568, 1031, 267, 3246, 6099, 19428, 563, 1103, 922, 1505, 3344, 267, 519, 8798, 12211, 547, 513, 1505, 540, 17021, 519, 2627, 540, 606, 661, 11085, 24250, 293, 296, 31364, 575, 21488, 25801, 16030, 519, 3268, 540, 3246, 513, 14388, 4295, 267, 7311, 513, 1166, 12177, 23287, 547, 782, 610, 5697, 13980, 540, 1767, 4295, 267, 543, 1166, 12177, 519, 2627, 540, 1767, 4295, 609, 25801, 11103, 547, 1106, 513, 25801, 15098, 269, 634, 8798, 2417, 12211, 547, 513, 1505, 540, 28729, 17021, 5551, 2127, 540, 519, 2627, 540, 606, 661, 11085, 24250, 293, 296, 31364, 575, 21488, 25801, 16030, 519, 3268, 540, 3246, 513, 14388, 4295, 267, 9633, 532, 2127, 540, 519, 2627, 799, 616, 547, 2611, 796, 4148, 18088, 609, 513, 9633, 532, 1797, 267, 7311, 513, 1166, 12177, 23287, 547, 519, 2627, 540, 519, 14388, 4295, 267, 543, 1166, 12177, 519, 2627, 540, 1767, 4295, 609, 25801, 11103, 269, 769, 1034, 3156, 267, 519, 9633, 532, 1797, 1131, 1287, 581, 6569, 269, 1323, 4244, 1505, 540, 28729, 1166, 12177, 513, 575, 21488, 2687, 547, 519, 8798, 13408, 519, 3268, 540, 28729, 7311, 1166, 12177, 23287, 547, 2127, 5551, 547, 581, 1166, 18088, 267, 543, 1166, 12177, 1346, 2127, 563, 289, 6020, 9128, 23370, 31304, 303, 3582, 5508, 5990, 667, 6938, 310, 5058, 306, 454, 20983, 269, 476, 272, 568, 513, 5133, 2070, 540, 513, 3044, 1970, 12641, 3837, 3196, 31364, 575, 21488, 563, 20983, 269, 476, 273, 568, 513, 5133, 2070, 540, 513, 6775, 1166, 18088, 575, 21488, 2687, 547, 835, 20032, 540, 519, 8798, 563, 20983, 269, 476, 274, 568, 513, 3810, 23762, 2070, 540, 513, 5697, 1858, 540, 16658, 269, 476, 273, 267, 20515, 3877, 540, 519, 1166, 18088, 2627, 538, 835, 20032, 540, 519, 8798, 563, 20983, 269, 476, 275, 568, 513, 28176, 6516, 6029, 513, 1797, 540, 6775, 1166, 12177, 5697, 2127, 540, 513, 575, 21488, 2687, 547, 835, 20032, 540, 519, 8798, 563, 20983, 269, 476, 276, 568, 513, 5133, 2070, 540, 519, 575, 21488, 3254, 538, 16658, 269, 476, 272, 799, 814, 1044, 28729, 1166, 18088, 2687, 547, 519, 1505, 540, 519, 8798, 563, 291, 4953, 288, 6579, 3633, 23370, 31304, 303, 3582, 5508, 5990, 5442, 309, 2894, 3582, 454, 763, 1459, 8798, 12211, 547, 606, 661, 11085, 24250, 293, 296, 31364, 575, 21488, 16030, 513, 14388, 4295, 2348, 513, 2627, 799, 568, 1166, 18088, 609, 25801, 11103, 563, 763, 2165, 834, 326, 21488, 257, 607, 1031, 23954, 568, 5497, 547, 4019, 547, 14388, 31364, 2326, 540, 782, 7306, 543, 5546, 269, 6270, 2326, 616, 3335, 1031, 547, 13021, 519, 8818, 1063, 606, 26456, 543, 513, 7450, 610, 8470, 267, 855, 849, 1265, 946, 538, 824, 3156, 971, 607, 3246, 5122, 15364, 1063, 1079, 7755, 334, 1456, 8440, 267, 971, 607, 6821, 538, 513, 13104, 539, 4055, 267, 610, 3246, 513, 25801, 2825, 13021, 1063, 1079, 7755, 334, 1456, 3937, 6810, 563, 763, 2165, 834, 4148, 1442, 257, 607, 1031, 23954, 4016, 547, 519, 1184, 540, 26600, 15098, 267, 17929, 606, 2376, 568, 22862, 609, 513, 8214, 344, 267, 3500, 15018, 23287, 543, 1287, 513, 15098, 540, 2110, 2067, 610, 10991, 11103, 568, 7452, 539, 267, 27762, 610, 6850, 560, 5597, 4294, 269, 589, 834, 4148, 18088, 257, 2627, 267, 3976, 267, 568, 835, 799, 814, 513, 32248, 15098, 4294, 676, 513, 26600, 15098, 1184, 563, 288, 31364, 575, 21488, 2687, 547, 835, 20032, 540, 519, 8798, 568, 3254, 538, 16658, 269, 476, 273, 269, 769, 713, 20032, 267, 575, 21488, 476, 276, 13408, 14388, 4295, 476, 277, 630, 3333, 1144, 607, 513, 17371, 264, 543, 25801, 6775, 26600, 476, 279, 269, 7201, 2391, 519, 6775, 26600, 4494, 267, 607, 3254, 538, 519, 7494, 23762, 2070, 540, 16658, 269, 476, 274, 267, 568, 513, 4494, 540, 23287, 476, 278, 799, 25601, 519, 11103, 563, 2005, 568, 9053, 602, 519, 11103, 581, 5111, 13902, 547, 519, 2627, 267, 607, 3254, 538, 16658, 269, 476, 274, 269, 901, 10066, 949, 581, 5833, 676, 6850, 560, 5597, 28068, 543, 7259, 532, 519, 11103, 883, 519, 25801, 23287, 267, 676, 7259, 532, 543, 28068, 519, 11103, 609, 19089, 267, 610, 676, 824, 6671, 2409, 585, 7259, 532, 971, 11103, 563, 293, 756, 619, 799, 616, 5078, 585, 946, 538, 519, 1459, 8798, 616, 1346, 799, 1683, 6190, 5122, 19428, 585, 661, 11085, 24250, 293, 296, 31364, 543, 799, 949, 581, 1031, 538, 513, 1166, 12177, 1184, 269, 6270, 11103, 1331, 4496, 22862, 610, 726, 730, 10991, 543, 2067, 11103, 267, 1519, 855, 711, 3908, 547, 19135, 267, 4837, 267, 17375, 543, 27948, 11103, 267, 4496, 11103, 267, 609, 610, 1510, 513, 15098, 270, 680, 908, 540, 1776, 4496, 267, 543, 23399, 540, 1079, 610, 811, 540, 971, 2010, 540, 11103, 269, 1280, 930, 3156, 267, 621, 949, 581, 25368, 547, 946, 11103, 799, 616, 6419, 543, 5924, 17196, 21716, 269, 2776, 31084, 11103, 585, 946, 538, 519, 8798, 616, 4496, 726, 730, 10991, 11103, 267, 3226, 4496, 726, 730, 562, 14125, 269, 18234, 726, 730, 562, 14125, 568, 1034, 9053, 585, 1082, 3156, 1317, 540, 922, 1164, 19428, 543, 29839, 585, 6671, 1166, 12177, 3157, 269, 634, 9053, 3259, 543, 8006, 540, 519, 11103, 786, 4268, 4470, 2390, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22374, 23340, 543, 2098, 21036, 16874, 573, 602, 941, 544, 2393, 539, 1354, 519, 2883, 16154, 563, 290, 1961, 2006, 779, 4876, 568, 14869, 539, 538, 7381, 5656, 269, 1261, 5249, 593, 835, 540, 5507, 779, 1101, 1236, 903, 322, 1905, 619, 693, 2052, 776, 1733, 541, 325, 267, 543, 729, 3238, 538, 519, 1374, 540, 519, 2749, 779, 18230, 1234, 2679, 267, 4122, 1634, 607, 519, 717, 615, 7219, 563, 3891, 11099, 25212, 1058, 1246, 519, 1291, 540, 1312, 2052, 776, 1733, 541, 325, 543, 5487, 667, 2946, 325, 1619, 267, 8303, 267, 543, 1544, 585, 7381, 5656, 2476, 689, 519, 2749, 2295, 269, 968, 27802, 656, 658, 5656, 2476, 689, 519, 2749, 267, 676, 741, 1360, 12572, 2470, 267, 2285, 4473, 547, 606, 1719, 538, 602, 851, 540, 519, 2749, 799, 4867, 568, 711, 5373, 1004, 779, 3007, 269, 29844, 899, 519, 4826, 12506, 1831, 513, 15262, 2223, 646, 3081, 563, 2108, 10303, 621, 1281, 1175, 1402, 909, 538, 835, 610, 1079, 6213, 4025, 538, 519, 25212, 9677, 1014, 6607, 1467, 267, 649, 4956, 547, 1118, 513, 1857, 2230, 693, 519, 1283, 269, 1924, 267, 1247, 596, 1522, 1294, 621, 267, 596, 917, 621, 12851, 547, 596, 269, 1411, 666, 979, 909, 543, 581, 851, 540, 621, 269, 898, 779, 711, 1175, 585, 3638, 1004, 3034, 8072, 14946, 518, 21445, 8709, 640, 3785, 20371, 8601, 519, 9709, 1857, 1569, 547, 519, 20610, 267, 835, 540, 519, 30852, 1377, 1194, 693, 621, 676, 6085, 2209, 971, 607, 590, 4883, 674, 2946, 514, 779, 8027, 22557, 17367, 661, 7765, 3331, 497, 7935, 514, 729, 519, 6069, 1942, 540, 519, 6306, 906, 267, 799, 1131, 723, 2322, 873, 856, 540, 519, 3914, 540, 782, 855, 519, 1360, 5207, 6976, 563, 22154, 568, 1390, 3377, 585, 938, 2749, 2223, 3331, 497, 7935, 514, 17408, 9643, 1310, 519, 1323, 645, 867, 623, 14211, 5451, 5055, 15194, 269, 968, 5522, 8911, 3609, 1590, 5838, 4264, 543, 10097, 4683, 1646, 267, 711, 17354, 21445, 8709, 640, 3785, 3034, 305, 517, 534, 1185, 4941, 547, 6133, 476, 6200, 6306, 906, 538, 519, 4826, 12506, 10325, 547, 519, 2749, 14643, 585, 1514, 8027, 585, 513, 2698, 540, 24843, 3583, 332, 269, 634, 1034, 7199, 729, 513, 1079, 1532, 539, 3336, 19887, 609, 606, 22566, 1942, 540, 24843, 280, 5038, 267, 27157, 563, 763, 17354, 267, 945, 729, 12183, 24887, 634, 11370, 764, 2033, 518, 538, 519, 22469, 26286, 1296, 267, 5143, 519, 10732, 18763, 538, 4728, 602, 1010, 1164, 8573, 1047, 6306, 906, 941, 6322, 693, 3810, 6976, 10509, 4600, 538, 519, 28541, 667, 4169, 269, 1261, 1767, 3063, 3761, 1131, 1863, 909, 4540, 3601, 543, 948, 547, 6565, 519, 8027, 6433, 563, 2108, 2791, 723, 547, 2333, 3761, 2443, 621, 779, 602, 2241, 2223, 646, 1767, 269, 968, 1692, 798, 596, 3247, 513, 3595, 286, 1411, 12235, 1216, 593, 621, 269, 4634, 1282, 519, 9483, 2782, 267, 519, 476, 1789, 338, 267, 476, 2412, 338, 267, 476, 2004, 338, 267, 519, 2229, 543, 519, 2199, 8128, 3710, 8075, 269, 589, 2777, 568, 513, 2777, 269, 4634, 950, 649, 1185, 535, 30995, 268, 718, 267, 693, 2547, 789, 941, 2679, 8075, 3034, 291, 889, 4802, 568, 711, 519, 1152, 1747, 1141, 7381, 5656, 616, 25921, 12270, 6644, 269, 769, 7799, 15104, 267, 513, 476, 1691, 3613, 648, 344, 2679, 267, 519, 28709, 13505, 267, 814, 4607, 4058, 10479, 267, 1454, 547, 519, 669, 698, 12541, 540, 1323, 570, 9820, 576, 543, 519, 9721, 9677, 1014, 5980, 563, 17606, 568, 4625, 856, 540, 5329, 540, 922, 4259, 593, 7813, 9255, 2066, 519, 5757, 689, 519, 21056, 971, 607, 15391, 7467, 543, 853, 6307, 779, 24130, 2223, 3081, 717, 4068, 324, 576, 267, 513, 7799, 15104, 5065, 269, 968, 2005, 729, 14922, 532, 602, 519, 15391, 7467, 31045, 971, 606, 1202, 17567, 24450, 269, 634, 13486, 786, 7519, 519, 8978, 642, 16695, 3168, 689, 1849, 3599, 779, 853, 8681, 2066, 4354, 4048, 1077, 22484, 593, 519, 1744, 27553, 3034, 2690, 4056, 2506, 5471, 339, 2480, 534, 23127, 267, 519, 8689, 540, 519, 4487, 540, 6189, 10872, 693, 519, 772, 7374, 267, 3664, 547, 1450, 7381, 5656, 3112, 581, 3144, 21066, 563, 2108, 314, 291, 889, 4802, 316, 1185, 9112, 267, 693, 3259, 267, 513, 1544, 827, 875, 621, 1131, 1020, 543, 713, 1496, 305, 517, 534, 779, 316, 1646, 729, 711, 2324, 609, 519, 1544, 2223, 646, 3081, 269, 968, 4517, 952, 835, 12662, 5132, 538, 875, 519, 2749, 2306, 3664, 543, 11438, 856, 2079, 543, 1382, 607, 1134, 607, 1857, 15360, 267, 543, 1287, 16976, 602, 1978, 14565, 1810, 1406, 3514, 538, 609, 602, 267, 1287, 594, 7058, 621, 779, 519, 1318, 3375, 1496, 1729, 7947, 7381, 5656, 14073, 2108, 30395, 902, 616, 513, 1587, 540, 519, 2528, 540, 1018, 779, 3617, 543, 538, 4207, 25212, 543, 1082, 4207, 4872, 267, 621, 779, 1831, 3833, 10423, 602, 5656, 3564, 476, 1015, 610, 476, 1556, 2984, 616, 3833, 16609, 689, 513, 1448, 540, 2070, 540, 2916, 1496, 1492, 2825, 1764, 3361, 676, 741, 4070, 316, 3034, 306, 4754, 23127, 11099, 968, 11004, 568, 513, 2104, 538, 513, 2749, 602, 3587, 10169, 26339, 543, 16437, 518, 892, 855, 24990, 723, 547, 581, 13533, 540, 519, 4683, 5251, 602, 814, 1279, 11478, 1934, 563, 14071, 723, 547, 3314, 602, 267, 538, 2489, 267, 519, 9721, 2749, 568, 9112, 540, 10754, 543, 11614, 543, 10945, 269, 1284, 723, 513, 2757, 4683, 19916, 540, 4872, 267, 899, 10515, 32683, 610, 8303, 267, 543, 7381, 5656, 899, 13317, 667, 1442, 3343, 547, 581, 14628, 282, 789, 3343, 547, 7519, 602, 585, 8726, 2601, 269, 1358, 1810, 1406, 8209, 3343, 547, 2463, 519, 8265, 4806, 282, 789, 3343, 547, 1796, 1996, 621, 563, 14881, 1589, 538, 2474, 540, 25212, 267, 649, 4076, 5116, 519, 7381, 2679, 538, 835, 7121, 543, 519, 2749, 538, 519, 824, 543, 594, 1589, 972, 779, 513, 1647, 2666, 1141, 25212, 1223, 1205, 26339, 855, 1869, 2463, 922, 19916, 269, 2290, 540, 1250, 4145, 585, 519, 546, 1442, 4133, 568, 602, 7381, 5656, 267, 538, 519, 1259, 789, 616, 2966, 543, 29596, 22885, 267, 1810, 1406, 8209, 4308, 1134, 609, 519, 8265, 610, 519, 2666, 269, 6733, 693, 519, 2179, 540, 960, 2469, 593, 538, 519, 5177, 1318, 1631, 538, 2474, 540, 11222, 22626, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 20610, 267, 799, 11124, 689, 602, 1966, 3034, 5194, 25212, 2861, 4056, 267, 8834, 18000, 8124, 267, 13187, 602, 7381, 5656, 3335, 2099, 519, 8709, 640, 540, 519, 17354, 267, 4352, 646, 24693, 602, 891, 5515, 723, 5280, 3337, 519, 4683, 5251, 540, 8581, 585, 5553, 563, 18658, 1281, 513, 7381, 2679, 1611, 585, 519, 3961, 540, 519, 2749, 286, 6733, 693, 4872, 899, 12670, 610, 8303, 543, 621, 779, 1360, 6417, 538, 2474, 540, 875, 519, 5251, 540, 519, 2749, 568, 7307, 543, 875, 9367, 610, 9746, 9163, 685, 4690, 616, 5129, 856, 1369, 602, 2223, 646, 3081, 563, 28490, 596, 723, 513, 476, 2412, 3613, 648, 344, 13486, 267, 7466, 519, 4463, 540, 4376, 3116, 1657, 596, 267, 621, 711, 1152, 814, 513, 5693, 12572, 2796, 267, 855, 621, 814, 513, 1360, 1483, 4527, 1369, 519, 2749, 779, 1272, 3034, 307, 534, 8124, 3081, 1079, 540, 25212, 779, 32399, 5656, 267, 519, 10821, 13317, 667, 1442, 267, 543, 519, 5604, 3625, 519, 1401, 334, 267, 799, 568, 1305, 585, 12032, 713, 1032, 267, 968, 732, 7381, 543, 1713, 855, 789, 616, 711, 1459, 538, 1250, 1995, 540, 519, 2749, 2507, 594, 2661, 538, 519, 8998, 269, 1809, 952, 596, 1205, 513, 2679, 602, 779, 7466, 519, 4463, 267, 1287, 789, 11613, 1831, 1459, 269, 1703, 779, 513, 2565, 4463, 602, 1281, 602, 16382, 596, 616, 267, 2436, 621, 779, 30989, 714, 617, 610, 4563, 13702, 3034, 3891, 11099, 513, 2679, 602, 568, 851, 540, 519, 6607, 1467, 547, 971, 513, 4110, 568, 711, 11807, 538, 513, 2749, 540, 25212, 779, 1970, 8573, 1047, 1915, 269, 968, 2005, 779, 711, 29903, 2223, 646, 3081, 269, 968, 1607, 1131, 581, 513, 2186, 540, 9746, 554, 6359, 22326, 540, 519, 2749, 269, 1284, 723, 513, 2686, 1686, 1934, 269, 634, 7502, 2581, 14552, 1496, 1492, 5479, 18311, 9721, 27428, 540, 22367, 701, 316, 616, 711, 2469, 547, 12398, 741, 1870, 1934, 1317, 972, 616, 513, 7008, 540, 20610, 269, 1358, 917, 1018, 25212, 568, 563, 14071, 1810, 1406, 723, 547, 6427, 1945, 585, 23644, 3854, 269, 634, 5656, 602, 616, 972, 693, 519, 4090, 2443, 519, 476, 2420, 3613, 648, 344, 20610, 2443, 972, 1223, 581, 19421, 540, 1346, 543, 621, 9327, 1406, 2339, 547, 519, 3961, 540, 519, 2749, 267, 855, 950, 596, 1376, 8380, 891, 2706, 30041, 3283, 538, 267, 602, 2242, 3388, 3034, 2704, 534, 20484, 1281, 711, 3858, 269, 634, 8783, 10324, 540, 519, 667, 1442, 4133, 6355, 17072, 11099, 8581, 779, 3854, 2115, 547, 1332, 909, 2443, 12777, 269, 968, 2171, 723, 513, 5312, 8027, 1966, 543, 14565, 899, 3627, 5500, 27050, 534, 779, 7494, 948, 547, 13468, 602, 2223, 646, 3081, 269, 968, 21156, 267, 649, 2461, 6998, 1004, 547, 1118, 1279, 862, 2373, 593, 513, 1212, 1136, 3560, 1062, 3034, 3891, 11099, 519, 546, 1442, 4133, 568, 519, 3501, 851, 540, 519, 2749, 538, 799, 547, 1628, 909, 269, 968, 2467, 616, 513, 5458, 1297, 540, 1004, 945, 1131, 2661, 1934, 952, 789, 1223, 855, 972, 3274, 5749, 1406, 2614, 5321, 547, 8597, 585, 602, 3747, 2223, 646, 3081, 563, 21659, 8657, 5654, 609, 679, 11803, 693, 595, 1251, 269, 4706, 2749, 14643, 814, 2016, 4058, 10479, 547, 513, 476, 9610, 332, 267, 476, 4097, 3613, 648, 344, 13486, 538, 519, 2749, 779, 2703, 802, 269, 898, 786, 267, 676, 513, 3845, 267, 581, 519, 32399, 2679, 593, 519, 6532, 269, 968, 6546, 779, 519, 2186, 540, 5075, 649, 991, 538, 25212, 2223, 646, 3081, 267, 968, 8117, 649, 2461, 21616, 693, 1169, 2490, 3034, 290, 1961, 2006, 267, 29285, 267, 11099, 513, 942, 786, 2097, 538, 519, 2282, 2104, 1141, 25212, 29598, 909, 609, 824, 4872, 950, 621, 2501, 547, 2679, 20733, 269, 968, 11947, 7779, 7381, 5656, 2223, 646, 3081, 267, 968, 4754, 581, 4909, 547, 875, 4872, 16956, 4733, 543, 1831, 7524, 543, 12667, 6698, 540, 1689, 1932, 1848, 0, 7049, 2045, 2090, 267, 2523, 1804, 11646, 17253, 7681, 2090, 267, 666, 581, 13181, 950, 3168, 693, 1018, 568, 2731, 1271, 585, 1072, 31078, 269, 26243, 267, 891, 2010, 540, 2090, 1413, 547, 1294, 799, 4719, 14726, 616, 5532, 547, 4093, 2443, 1483, 3734, 1004, 267, 1483, 4093, 267, 543, 1804, 1239, 5036, 563, 288, 1007, 1353, 5063, 3370, 538, 7186, 6925, 6059, 519, 2360, 540, 4719, 14726, 593, 667, 3201, 312, 338, 630, 4134, 1464, 14194, 3286, 539, 1272, 1296, 1040, 667, 3201, 312, 338, 2268, 2048, 331, 739, 2635, 1272, 1296, 685, 2443, 610, 519, 6587, 2427, 540, 1072, 31078, 563, 1607, 20029, 269, 476, 1708, 273, 8313, 2982, 602, 513, 1455, 4719, 14583, 538, 519, 700, 5183, 5444, 1185, 519, 16999, 1198, 593, 667, 3201, 312, 338, 585, 606, 1367, 269, 3958, 267, 513, 4999, 540, 4719, 14726, 602, 2799, 1928, 729, 849, 13615, 547, 4389, 2635, 1296, 563, 8448, 6090, 602, 12936, 2635, 1296, 3769, 670, 6369, 6090, 267, 2295, 5829, 6090, 267, 543, 6673, 302, 292, 630, 2704, 11533, 779, 1040, 7324, 519, 2295, 5829, 6090, 267, 715, 5308, 274, 630, 27848, 878, 12547, 5348, 628, 848, 264, 543, 623, 5425, 298, 280, 630, 299, 13036, 8501, 2157, 264, 941, 1283, 16125, 563, 19950, 5944, 267, 513, 14583, 538, 519, 8863, 11748, 276, 5444, 849, 729, 19250, 1713, 269, 634, 14583, 568, 5532, 547, 15522, 13829, 267, 6029, 602, 1004, 811, 11630, 547, 15522, 13829, 616, 6010, 601, 1512, 547, 8673, 811, 543, 3476, 563, 305, 732, 13592, 267, 971, 607, 538, 2860, 5829, 6090, 267, 941, 849, 2808, 269, 1280, 1383, 267, 8876, 513, 19836, 7563, 272, 15817, 630, 3691, 770, 2860, 1981, 3815, 264, 729, 2404, 609, 606, 3328, 2530, 540, 476, 275, 2635, 1296, 563, 763, 1353, 1031, 1239, 689, 519, 5177, 4437, 984, 1678, 630, 6110, 267, 1822, 266, 1004, 264, 543, 519, 18373, 7049, 630, 4968, 267, 1822, 266, 1004, 264, 1979, 984, 1678, 269, 1924, 621, 568, 1271, 547, 4063, 602, 519, 5171, 941, 7729, 14954, 4724, 3864, 24272, 22057, 4282, 16804, 10915, 2639, 1432, 1705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 307, 304, 300, 12810, 15484, 454, 13707, 2298, 2359, 630, 307, 304, 300, 264, 2259, 3322, 3308, 2645, 547, 5659, 1870, 543, 5663, 3157, 267, 543, 6895, 2298, 14573, 543, 10832, 585, 2298, 1852, 269, 1452, 2645, 1331, 12222, 267, 12125, 543, 11708, 607, 2095, 577, 11301, 267, 3165, 14752, 12222, 267, 5722, 2359, 543, 4058, 2645, 267, 543, 824, 563, 303, 545, 269, 272, 10866, 3165, 14752, 6516, 10959, 563, 1103, 2698, 2298, 2359, 630, 307, 304, 300, 264, 519, 1772, 327, 1731, 11867, 6516, 568, 1031, 585, 2298, 8919, 6604, 676, 8446, 540, 1761, 2188, 4929, 2298, 7648, 269, 1452, 2188, 616, 19882, 883, 1292, 6688, 547, 2697, 2298, 8390, 2959, 563, 8450, 849, 27842, 912, 307, 2894, 23781, 28714, 670, 8582, 9215, 781, 912, 2691, 596, 991, 547, 1445, 593, 519, 1966, 267, 3318, 6516, 2719, 1907, 2337, 596, 1711, 513, 12551, 14752, 6516, 849, 1634, 607, 1772, 327, 1731, 11867, 6516, 269, 4197, 540, 519, 1966, 3842, 12551, 14752, 6516, 786, 2087, 519, 3157, 1063, 13623, 543, 6887, 563, 3519, 1061, 19352, 667, 8656, 16165, 4456, 6905, 609, 12551, 14752, 30894, 3070, 3947, 513, 3532, 1907, 585, 5355, 1966, 6061, 543, 1445, 609, 12551, 14752, 12222, 563, 303, 27348, 281, 25947, 9046, 14572, 543, 10312, 609, 12551, 14752, 30894, 454, 6701, 596, 606, 31485, 267, 17651, 4116, 610, 2875, 286, 1656, 596, 991, 547, 2721, 17651, 5961, 2656, 543, 2653, 286, 10417, 19352, 667, 8656, 16165, 4456, 6516, 2719, 543, 6152, 5373, 3301, 6905, 609, 18395, 3070, 689, 519, 3163, 543, 4065, 1858, 786, 948, 596, 2336, 22349, 25348, 3070, 2488, 476, 278, 8021, 609, 2647, 3099, 540, 2392, 525, 11220, 6152, 3615, 540, 17651, 6698, 267, 18477, 4703, 267, 3859, 1062, 6698, 267, 20035, 725, 267, 3092, 563, 303, 27348, 281, 18395, 29062, 454, 3682, 21793, 616, 9465, 543, 2591, 602, 835, 1058, 7753, 547, 3914, 519, 3804, 269, 1358, 616, 606, 538, 29323, 762, 851, 540, 1022, 1870, 267, 543, 519, 1967, 540, 606, 13055, 1419, 5673, 593, 2702, 547, 4194, 782, 2042, 3927, 269, 634, 1184, 540, 1966, 6061, 1419, 3096, 7787, 1935, 267, 4543, 547, 1265, 513, 5078, 3070, 563, 8794, 12551, 14752, 30894, 585, 9046, 14572, 568, 513, 11327, 543, 3879, 13577, 1907, 547, 2697, 519, 1034, 1271, 2188, 4929, 519, 8373, 269, 10417, 19352, 667, 8656, 16165, 4456, 6905, 609, 12551, 14752, 30894, 3070, 689, 519, 5004, 1858, 540, 10417, 19352, 8827, 5244, 568, 513, 3532, 1907, 585, 1966, 6061, 609, 12551, 14752, 1772, 327, 1731, 11867, 6516, 8642, 1505, 563, 303, 27348, 281, 4635, 12551, 14752, 30894, 585, 9046, 14572, 454, 14813, 26475, 6516, 630, 2839, 264, 568, 513, 21370, 543, 6310, 6041, 540, 519, 3375, 269, 21478, 12222, 616, 4922, 1031, 538, 519, 3375, 2079, 543, 538, 519, 3014, 3069, 269, 1358, 616, 519, 4244, 547, 519, 3375, 3529, 269, 634, 3310, 6516, 3947, 547, 25566, 519, 1164, 7400, 12497, 2070, 602, 621, 666, 946, 547, 1628, 519, 2143, 11050, 2203, 563, 1607, 3732, 2982, 519, 21478, 6516, 269, 898, 568, 513, 9859, 1035, 5670, 545, 3113, 609, 1614, 2010, 540, 9136, 281, 17423, 6843, 568, 6537, 607, 513, 13551, 267, 28687, 1643, 1399, 6843, 568, 6537, 607, 606, 24814, 267, 10025, 6843, 568, 6537, 607, 606, 12354, 6782, 269, 634, 9136, 616, 4448, 609, 9095, 338, 563, 303, 27348, 281, 21478, 12810, 12229, 454, 3519, 1061, 19352, 667, 8656, 16165, 4456, 6516, 2719, 543, 6152, 5373, 3301, 6905, 609, 12551, 14752, 30894, 3070, 568, 513, 3501, 1907, 585, 3301, 9858, 543, 3301, 9367, 269, 1403, 596, 991, 547, 1711, 20531, 543, 6356, 6516, 267, 12551, 14752, 6516, 267, 1772, 327, 1731, 11867, 6516, 689, 17074, 543, 1806, 267, 610, 1210, 519, 2392, 525, 11220, 2609, 267, 10417, 19352, 667, 8656, 16165, 4456, 666, 798, 713, 3362, 563, 3519, 1061, 19352, 667, 8656, 16165, 4456, 3301, 3947, 2702, 547, 1374, 12551, 14752, 12222, 602, 2697, 1082, 2009, 3123, 585, 606, 1198, 585, 1966, 269, 3962, 12551, 14752, 6516, 1374, 3693, 3769, 547, 12551, 14752, 30894, 5399, 568, 6152, 543, 4712, 3562, 14025, 563, 303, 27348, 281, 12551, 14752, 12810, 5071, 27100, 454, 8196, 10417, 19352, 667, 8656, 16165, 4456, 6516, 2719, 543, 1870, 12449, 3301, 585, 5373, 707, 1378, 6751, 1272, 4783, 2095, 12125, 563, 303, 27348, 281, 5358, 547, 5269, 10046, 15873, 454, 31088, 10046, 932, 11301, 616, 1360, 2442, 543, 4922, 1031, 538, 3114, 543, 1184, 4702, 585, 6041, 513, 2489, 2095, 540, 2030, 3157, 543, 3937, 269, 1403, 596, 991, 1419, 2721, 873, 267, 519, 10417, 19352, 667, 8656, 16165, 4456, 6516, 2719, 543, 6152, 5373, 3301, 6905, 609, 2645, 540, 10046, 577, 11301, 8827, 786, 581, 3730, 585, 596, 563, 763, 6140, 1031, 1305, 540, 1184, 2095, 5750, 6698, 2882, 519, 1739, 281, 25351, 4120, 630, 7901, 264, 1184, 2095, 5750, 3090, 267, 681, 15903, 13551, 267, 17781, 267, 27339, 563, 303, 27348, 281, 6713, 10046, 15873, 13507, 454, 13312, 8183, 2719, 568, 606, 27314, 1259, 547, 14650, 1870, 3157, 269, 634, 1592, 540, 519, 1034, 1455, 1870, 1184, 2095, 24577, 6698, 568, 3833, 1279, 4358, 689, 2596, 2095, 577, 11301, 267, 11173, 609, 590, 7709, 8016, 12222, 269, 6355, 1184, 9781, 729, 2760, 4443, 982, 1631, 267, 609, 2027, 10417, 19352, 6355, 6713, 29570, 3070, 563, 2414, 4163, 856, 782, 3318, 3044, 4170, 585, 1870, 3157, 11837, 267, 621, 568, 8209, 547, 1246, 519, 2027, 21370, 711, 725, 269, 10417, 19352, 6355, 6713, 29570, 3070, 3091, 606, 29882, 24194, 540, 2645, 547, 5351, 1870, 1184, 11837, 269, 1703, 616, 1614, 6152, 8021, 590, 7709, 8016, 30894, 267, 6355, 6713, 10046, 577, 11301, 267, 543, 4210, 574, 700, 6951, 602, 3568, 11207, 811, 982, 476, 2004, 6698, 540, 3044, 645, 15014, 711, 725, 269, 901, 568, 782, 602, 4648, 991, 547, 3927, 6218, 543, 4383, 2298, 538, 1870, 3157, 563, 303, 27348, 281, 6355, 6713, 10046, 24577, 29062, 0, 11405, 3002, 2126, 454, 763, 3070, 3002, 2126, 1184, 568, 1031, 4481, 585, 16243, 2848, 1564, 269, 634, 4496, 18585, 568, 12699, 267, 6854, 693, 513, 1164, 2837, 543, 1287, 6385, 22799, 1210, 1216, 610, 16931, 3154, 269, 8827, 3002, 2126, 10607, 519, 7344, 4222, 540, 519, 5701, 1570, 267, 543, 922, 4187, 547, 14809, 610, 16617, 563, 763, 3070, 3002, 2126, 1184, 568, 4122, 1031, 547, 1521, 2694, 585, 519, 7344, 2872, 563, 16676, 6681, 3070, 3002, 2126, 9065, 839, 454, 1607, 1184, 3335, 3217, 1747, 3330, 6024, 3070, 3002, 2126, 9065, 839, 602, 666, 3914, 5210, 540, 5111, 476, 10755, 271, 9180, 269, 634, 4773, 547, 581, 5701, 1847, 3330, 519, 6024, 9065, 839, 593, 23740, 26797, 1500, 538, 2027, 2326, 547, 16641, 1164, 5210, 563, 21798, 659, 584, 3279, 779, 23740, 26797, 585, 1164, 5210, 616, 10155, 539, 1759, 593, 519, 5665, 2175, 267, 519, 2450, 540, 519, 2694, 547, 581, 5701, 543, 519, 24913, 267, 543, 616, 7363, 1500, 538, 16243, 5374, 476, 27183, 630, 310, 269, 715, 337, 269, 476, 272, 269, 4366, 275, 272, 1070, 15281, 24979, 476, 4391, 270, 1240, 630, 310, 269, 715, 337, 269, 476, 272, 269, 4366, 277, 275, 1916, 18850, 3307, 633, 4162, 540, 519, 8779, 659, 584, 3279, 23740, 26797, 585, 6024, 3070, 3002, 2126, 9065, 839, 912, 268, 30059, 540, 519, 17450, 9511, 543, 2298, 540, 519, 23212, 1031, 454, 268, 22453, 2039, 540, 17450, 2139, 0, 291, 539, 1709, 540, 634, 2142, 16696, 538, 3212, 933, 324, 9503, 267, 3487, 594, 454, 763, 6196, 5069, 6019, 8466, 5980, 4891, 609, 6196, 5069, 6019, 21094, 547, 1039, 513, 1007, 3140, 15262, 1142, 1032, 547, 519, 10315, 269, 769, 476, 1001, 276, 267, 519, 3135, 540, 519, 5487, 6182, 1052, 9751, 3427, 267, 799, 729, 606, 3979, 12677, 25347, 342, 12245, 3427, 267, 729, 4857, 269, 769, 476, 1001, 277, 267, 513, 15262, 729, 5116, 538, 645, 992, 985, 4011, 334, 538, 8956, 540, 6196, 5069, 6019, 5065, 9400, 6276, 29142, 956, 2421, 267, 513, 1614, 6066, 17294, 540, 13325, 543, 1434, 3659, 540, 14062, 12493, 563, 8310, 3018, 267, 7788, 773, 26665, 3298, 3627, 8725, 779, 1753, 538, 3212, 933, 324, 9503, 267, 634, 2142, 16696, 267, 4607, 513, 17996, 8466, 4460, 518, 269, 3627, 8725, 630, 5908, 274, 268, 4350, 272, 264, 4050, 2740, 634, 9741, 29962, 3126, 540, 1453, 779, 2835, 267, 1759, 593, 519, 1483, 1004, 543, 4025, 538, 3212, 933, 324, 9503, 269, 5213, 3534, 21651, 543, 590, 826, 22118, 333, 22413, 534, 1408, 941, 14376, 607, 16823, 10529, 585, 519, 2680, 269, 21651, 568, 513, 17055, 540, 3212, 933, 324, 9503, 543, 814, 6170, 1296, 7114, 519, 5321, 543, 1004, 602, 941, 4330, 538, 3627, 8725, 779, 2835, 269, 22413, 534, 1408, 568, 606, 12314, 7548, 543, 2895, 22999, 693, 5375, 17996, 2160, 543, 6170, 1082, 1296, 540, 1382, 593, 3627, 8725, 543, 1200, 1764, 593, 1977, 2528, 563, 5445, 1312, 8815, 547, 2671, 930, 2694, 540, 741, 11428, 4633, 585, 713, 6241, 593, 634, 2142, 16696, 543, 519, 960, 540, 7788, 773, 26665, 3298, 3627, 8725, 563, 8512, 835, 281, 634, 2142, 16696, 11428, 4633, 676, 5213, 3534, 21651, 454, 8170, 519, 476, 3374, 3212, 933, 324, 9503, 5321, 267, 13039, 543, 824, 3601, 593, 519, 2817, 19193, 540, 19866, 23089, 267, 634, 2142, 16696, 568, 4440, 519, 1034, 1134, 8153, 267, 711, 865, 1454, 585, 922, 11265, 1347, 916, 267, 799, 616, 8101, 267, 855, 585, 519, 1004, 945, 5030, 1934, 563, 5804, 476, 4489, 272, 547, 476, 4350, 272, 267, 621, 729, 1753, 547, 1453, 779, 2278, 7788, 773, 26665, 3298, 3627, 8725, 269, 2701, 4547, 3212, 933, 324, 9503, 5001, 21239, 609, 1200, 2442, 968, 28012, 29962, 892, 3126, 267, 3323, 538, 476, 6245, 276, 1247, 1352, 729, 9683, 3212, 933, 324, 9503, 543, 6192, 1934, 267, 693, 634, 2142, 16696, 267, 538, 1200, 2034, 22286, 3233, 5604, 538, 476, 4489, 273, 563, 763, 2835, 941, 12261, 883, 7969, 267, 5053, 267, 5545, 543, 4858, 4068, 267, 543, 1453, 4646, 9741, 29962, 15731, 269, 1358, 538, 1495, 730, 7788, 773, 26665, 3298, 3627, 8725, 609, 10178, 13875, 269, 1358, 5129, 609, 9741, 29962, 13410, 543, 3756, 5189, 676, 519, 32511, 965, 4802, 645, 4592, 269, 538, 476, 5002, 279, 269, 634, 5130, 476, 2190, 267, 476, 5002, 279, 7439, 27714, 267, 27228, 28315, 5240, 11219, 16067, 7074, 267, 968, 2507, 3883, 4308, 619, 782, 2161, 602, 2094, 519, 2395, 540, 7323, 1325, 22574, 1100, 2278, 814, 3144, 865, 2178, 513, 3180, 593, 1453, 1107, 602, 519, 3747, 568, 11931, 267, 711, 11385, 908, 267, 585, 1200, 2835, 2507, 7536, 2690, 1082, 1296, 267, 1312, 1354, 543, 1310, 7788, 773, 779, 2669, 267, 634, 2142, 16696, 729, 513, 2725, 17433, 585, 9741, 29962, 11655, 267, 19788, 607, 1082, 607, 476, 7176, 8436, 538, 513, 2582, 1554, 269, 4658, 3357, 547, 1294, 519, 1483, 4025, 602, 941, 5018, 538, 519, 2835, 267, 711, 1152, 634, 2142, 16696, 267, 855, 634, 16511, 755, 267, 634, 717, 1963, 267, 519, 5403, 8433, 267, 519, 3212, 933, 324, 9503, 3465, 2421, 614, 1014, 5783, 543, 519, 9741, 29962, 779, 32119, 593, 32712, 22971, 1107, 257, 5472, 1175, 607, 1352, 4330, 621, 267, 596, 917, 2437, 7074, 835, 21233, 689, 4789, 563, 4517, 1256, 1354, 7788, 773, 6410, 883, 634, 2142, 16696, 609, 1200, 1900, 323, 5922, 267, 6307, 267, 519, 2777, 543, 922, 31269, 941, 851, 540, 519, 9741, 29962, 2984, 269, 898, 729, 3710, 676, 631, 600, 773, 4521, 2023, 1310, 1200, 9393, 267, 4937, 8361, 654, 732, 4521, 2023, 267, 729, 7166, 538, 519, 13372, 1282, 519, 5053, 12677, 2782, 269, 631, 600, 773, 543, 7788, 773, 1185, 1044, 2828, 543, 1476, 573, 656, 525, 2094, 789, 1558, 538, 476, 6245, 279, 950, 7788, 773, 729, 10519, 532, 634, 717, 1963, 267, 2066, 6239, 22971, 689, 22750, 6229, 267, 1141, 631, 600, 773, 8057, 909, 563, 2005, 729, 1934, 693, 634, 2142, 16696, 602, 631, 600, 773, 8737, 9870, 1200, 2185, 1453, 2443, 1614, 6690, 543, 513, 7911, 2443, 543, 519, 2777, 678, 836, 609, 17409, 1282, 519, 4521, 2023, 1296, 563, 763, 4521, 27971, 685, 7518, 1080, 6039, 607, 535, 617, 1457, 585, 7788, 773, 779, 2835, 269, 631, 600, 773, 543, 7788, 773, 6854, 909, 513, 18512, 543, 1272, 17489, 19359, 269, 2290, 476, 5002, 273, 4484, 689, 7788, 773, 4280, 585, 631, 600, 773, 779, 948, 609, 968, 763, 9741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 824, 804, 7174, 547, 2057, 621, 1373, 1932, 5277, 269, 2353, 519, 7041, 786, 1831, 2653, 952, 513, 27341, 568, 1031, 269, 4495, 519, 522, 842, 618, 568, 5833, 267, 621, 568, 2556, 547, 3262, 513, 2370, 593, 519, 1289, 748, 851, 543, 16833, 621, 609, 513, 1360, 2973, 6512, 720, 269, 2991, 513, 1906, 3108, 1118, 513, 3723, 8602, 267, 27125, 543, 4019, 519, 522, 842, 618, 1586, 269, 634, 851, 786, 21352, 543, 609, 519, 948, 540, 3636, 31725, 543, 513, 1507, 23805, 610, 513, 17970, 3758, 621, 786, 581, 2653, 547, 4894, 519, 1289, 639, 602, 786, 711, 21898, 596, 15042, 269, 2353, 1756, 5810, 1927, 609, 519, 804, 913, 540, 519, 15620, 616, 8612, 547, 5965, 533, 14115, 1182, 585, 18212, 9964, 24074, 563, 31624, 321, 5810, 281, 5253, 946, 540, 8768, 15620, 454, 31624, 321, 5810, 3564, 25798, 946, 666, 581, 1031, 585, 513, 3099, 540, 3536, 269, 634, 6237, 8819, 1258, 558, 625, 540, 570, 19895, 1415, 543, 700, 580, 22202, 616, 14095, 609, 10346, 602, 946, 782, 1756, 269, 898, 568, 538, 1249, 513, 23773, 21149, 656, 540, 519, 9667, 1062, 543, 568, 4061, 1360, 3730, 952, 1031, 6151, 267, 22872, 610, 30000, 267, 538, 782, 25235, 269, 769, 7931, 1725, 320, 621, 568, 1031, 4195, 585, 513, 8748, 17339, 269, 9050, 26106, 802, 616, 22019, 539, 267, 2322, 547, 14974, 538, 513, 5779, 26185, 267, 609, 519, 1840, 540, 15922, 3762, 267, 9782, 4424, 267, 27041, 267, 804, 913, 543, 24036, 269, 2991, 827, 8938, 3764, 540, 5986, 621, 568, 5293, 998, 513, 521, 10079, 543, 6039, 609, 547, 16556, 524, 709, 27971, 543, 513, 5671, 14794, 540, 6151, 3282, 269, 4746, 519, 22323, 568, 8612, 585, 1114, 11477, 3096, 269, 898, 666, 581, 13881, 6151, 610, 11273, 543, 666, 8137, 1114, 2010, 540, 5388, 543, 25235, 269, 634, 5810, 616, 849, 17580, 543, 1927, 609, 519, 15941, 789, 1683, 606, 5140, 12146, 585, 7657, 1681, 1114, 8286, 269, 0, 30538, 32257, 19413, 729, 519, 6205, 540, 3127, 779, 1875, 8686, 2723, 550, 7115, 3350, 1996, 3703, 4341, 543, 538, 3162, 4000, 945, 23647, 585, 519, 3540, 2924, 540, 12075, 269, 18004, 538, 28769, 7171, 541, 267, 3127, 267, 19413, 6594, 1876, 543, 6896, 7911, 20799, 1206, 1996, 3703, 5238, 538, 12560, 3029, 540, 3540, 27136, 17171, 563, 1432, 729, 19413, 779, 3804, 888, 294, 16905, 779, 3483, 729, 547, 4339, 585, 519, 5191, 540, 3127, 689, 4279, 6628, 1210, 1875, 8686, 2723, 775, 269, 1261, 849, 4941, 547, 4434, 519, 2856, 540, 2893, 344, 27558, 3873, 267, 610, 12809, 4187, 267, 547, 948, 31345, 1004, 563, 1692, 1705, 19413, 4339, 585, 1480, 2924, 888, 4407, 3056, 18487, 11044, 547, 8897, 6710, 267, 4228, 2021, 779, 2924, 267, 1628, 3909, 543, 6803, 10103, 543, 9004, 519, 17536, 1182, 540, 519, 22634, 1062, 267, 19413, 18678, 569, 4294, 519, 3741, 540, 32593, 550, 3540, 27136, 17171, 267, 4730, 513, 1883, 1909, 538, 1863, 532, 3127, 689, 4914, 28735, 563, 1432, 729, 19413, 779, 7887, 3804, 888, 265, 763, 6574, 22920, 540, 19413, 729, 1010, 1272, 910, 14075, 4339, 585, 519, 7115, 540, 3127, 269, 3571, 5326, 585, 1010, 2197, 779, 7115, 6368, 2968, 4641, 593, 4864, 476, 1428, 267, 476, 3707, 278, 563, 1432, 476, 274, 1919, 1705, 19413, 798, 888, 30538, 32257, 19413, 779, 19793, 557, 906, 1261, 6039, 607, 513, 15818, 267, 22267, 267, 543, 19191, 538, 519, 6560, 585, 1514, 5126, 543, 585, 3127, 779, 7115, 689, 3703, 4341, 269, 19413, 568, 18368, 22644, 539, 585, 1010, 14985, 540, 32593, 550, 13889, 630, 338, 520, 344, 27558, 3873, 264, 547, 3035, 2797, 543, 1514, 3356, 563, 1432, 729, 19413, 779, 4640, 888, 763, 717, 663, 327, 1014, 4640, 568, 519, 4999, 540, 5168, 267, 15093, 267, 1875, 268, 5208, 267, 1582, 1652, 3028, 543, 9316, 269, 4340, 547, 19413, 835, 1058, 581, 12703, 543, 711, 513, 10800, 731, 269, 1261, 1058, 1459, 1010, 5784, 267, 10372, 543, 4555, 1510, 1373, 10795, 269, 2290, 1058, 4339, 513, 2112, 609, 519, 9604, 540, 5168, 543, 1875, 5208, 563, 3963, 19413, 568, 513, 6205, 888, 30538, 32257, 19413, 729, 606, 16779, 6205, 1100, 1152, 1317, 646, 23518, 782, 12075, 593, 513, 6070, 15292, 547, 18348, 519, 3703, 2804, 1062, 269, 4595, 646, 729, 22082, 540, 9045, 344, 27558, 3873, 267, 646, 849, 6273, 782, 12075, 547, 1174, 543, 1451, 4187, 998, 1875, 8686, 2723, 550, 3540, 27136, 17171, 269, 19413, 729, 513, 5075, 776, 6205, 563, 1432, 941, 19413, 779, 18517, 888, 1015, 11683, 19793, 557, 906, 540, 8575, 32257, 19413, 454, 268, 1948, 272, 1261, 10692, 1996, 7292, 7130, 538, 3162, 4000, 563, 268, 1948, 273, 3571, 9045, 344, 27558, 3873, 5859, 538, 14408, 3366, 547, 519, 476, 4489, 275, 4095, 28057, 2920, 563, 268, 1948, 274, 8575, 32257, 19413, 4465, 1010, 1101, 6370, 540, 3540, 27136, 17171, 538, 3127, 693, 16422, 1706, 534, 563, 268, 1948, 275, 1261, 6707, 3366, 513, 1875, 8686, 2723, 550, 3454, 27693, 538, 918, 1117, 320, 269, 0, 9743, 15297, 281, 5999, 13042, 609, 2048, 263, 305, 264, 685, 2154, 946, 540, 681, 269, 7490, 1683, 3617, 454, 305, 12981, 543, 741, 3977, 267, 2059, 609, 6190, 7778, 543, 7664, 540, 519, 454, 16059, 547, 6542, 707, 1620, 269, 6270, 681, 3977, 1058, 581, 4843, 538, 606, 454, 15759, 3603, 1106, 1927, 609, 707, 3137, 282, 798, 711, 8936, 873, 607, 5094, 454, 9917, 1115, 269, 2353, 824, 2055, 1058, 581, 6192, 1510, 4704, 547, 1022, 681, 12981, 610, 454, 16059, 269, 5269, 2386, 596, 2285, 2614, 7778, 865, 707, 20131, 666, 1246, 707, 7744, 952, 454, 9767, 4755, 547, 1118, 513, 12161, 269, 7490, 849, 2119, 547, 581, 607, 13151, 3307, 607, 2009, 269, 3962, 7084, 454, 15884, 1331, 7436, 585, 1434, 6881, 543, 585, 12394, 782, 2042, 563, 272, 269, 630, 305, 264, 2913, 2473, 543, 962, 581, 519, 8464, 538, 17438, 630, 300, 17129, 1220, 6860, 264, 543, 10803, 630, 300, 17129, 1220, 4962, 13211, 27920, 1947, 267, 585, 513, 2875, 945, 3576, 1312, 540, 891, 1079, 5396, 269, 589, 3732, 540, 562, 815, 476, 1428, 454, 29324, 26857, 519, 1739, 1239, 912, 5416, 264, 28546, 513, 2241, 5276, 9695, 2203, 661, 263, 312, 795, 311, 815, 1535, 264, 815, 14668, 1341, 16061, 343, 585, 891, 1239, 269, 4855, 454, 4812, 9193, 540, 14668, 543, 16061, 269, 1548, 616, 519, 3044, 6959, 540, 891, 9193, 888, 6357, 264, 12315, 513, 476, 4817, 260, 6015, 8884, 585, 519, 6060, 538, 10803, 609, 513, 6060, 540, 476, 3583, 538, 454, 6262, 264, 12315, 513, 476, 4817, 260, 12605, 8884, 585, 519, 6060, 538, 10803, 609, 513, 6060, 540, 476, 3583, 538, 454, 23536, 1464, 269, 14424, 519, 12605, 8884, 547, 519, 6015, 8884, 5833, 454, 5560, 264, 2422, 513, 512, 23150, 547, 1449, 670, 271, 2433, 16061, 815, 476, 271, 281, 279, 1996, 670, 272, 2433, 16061, 476, 277, 284, 476, 271, 281, 279, 693, 519, 14668, 815, 476, 271, 281, 4962, 4644, 454, 24038, 543, 1533, 707, 3932, 563, 16216, 264, 12315, 519, 30654, 3349, 585, 519, 9695, 2203, 563, 6600, 264, 2422, 519, 30654, 3349, 630, 293, 23150, 264, 547, 1449, 670, 271, 2433, 16061, 815, 476, 271, 1996, 670, 272, 2433, 16061, 476, 277, 284, 476, 271, 693, 519, 454, 10382, 815, 476, 271, 281, 4962, 4644, 1377, 543, 1533, 707, 3932, 563, 14116, 264, 2913, 6543, 479, 581, 519, 9756, 11664, 1063, 2473, 543, 962, 2073, 1265, 606, 16977, 476, 3445, 14999, 20813, 2064, 8884, 585, 6543, 479, 563, 273, 269, 27539, 602, 519, 3892, 540, 2473, 568, 715, 263, 382, 369, 282, 476, 1839, 1040, 1677, 1449, 519, 14275, 8367, 670, 271, 2433, 18725, 815, 476, 1015, 454, 28785, 560, 519, 4244, 8367, 670, 272, 2433, 18725, 2999, 476, 1015, 267, 1577, 519, 2565, 3148, 581, 3989, 676, 454, 290, 815, 535, 343, 382, 363, 2433, 2485, 363, 1535, 18016, 476, 279, 326, 267, 1141, 2485, 363, 1535, 568, 519, 3732, 1611, 540, 513, 4351, 3732, 540, 2450, 562, 815, 476, 1839, 689, 454, 5416, 264, 4855, 519, 1379, 1599, 918, 263, 382, 369, 264, 585, 713, 1449, 1547, 670, 842, 281, 1379, 568, 513, 1599, 540, 519, 3020, 454, 6357, 264, 1548, 568, 519, 4644, 1377, 540, 519, 1449, 888, 6262, 264, 1548, 616, 519, 2418, 540, 918, 263, 279, 264, 543, 918, 263, 277, 25145, 5560, 264, 630, 305, 264, 28220, 513, 3113, 540, 519, 1379, 1599, 269, 670, 842, 281, 596, 949, 2119, 18725, 689, 476, 275, 547, 476, 1321, 563, 16216, 264, 1548, 3932, 798, 596, 2721, 689, 519, 1739, 476, 1839, 7422, 540, 2473, 888, 1321, 269, 272, 476, 2190, 269, 271, 476, 280, 269, 279, 476, 278, 269, 271, 476, 277, 269, 271, 476, 277, 269, 280, 476, 277, 269, 279, 476, 280, 269, 276, 454, 1556, 269, 279, 476, 1015, 269, 272, 476, 279, 269, 272, 476, 271, 269, 272, 476, 275, 269, 278, 476, 1724, 269, 277, 476, 1556, 269, 274, 476, 278, 269, 273, 476, 271, 269, 275, 454, 1015, 269, 278, 476, 1724, 269, 272, 476, 278, 269, 271, 476, 1240, 269, 275, 476, 275, 269, 271, 476, 273, 269, 279, 476, 1321, 269, 271, 476, 1428, 269, 280, 454, 6600, 264, 1548, 568, 519, 533, 17032, 540, 519, 1449, 1759, 593, 519, 7422, 538, 630, 324, 25145, 292, 6470, 18814, 12814, 17276, 498, 363, 418, 490, 479, 28324, 21595, 267, 18498, 28324, 267, 1284, 23298, 28324, 267, 19248, 984, 7776, 419, 511, 487, 12571, 482, 26175, 491, 10524, 502, 418, 361, 378, 25913, 19764, 493, 2336, 292, 17733, 281, 18078, 17106, 11333, 3820, 13127, 378, 362, 32517, 350, 281, 324, 6470, 16746, 0, 292, 17733, 2974, 281, 1496, 16942, 6870, 2639, 330, 310, 1535, 476, 271, 269, 26522, 815, 544, 274, 476, 274, 544, 1447, 4939, 736, 815, 6480, 13846, 4826, 11730, 538, 519, 1062, 1635, 7311, 519, 476, 274, 330, 310, 1535, 476, 271, 269, 26522, 815, 544, 4542, 519, 5021, 1216, 4320, 540, 519, 15245, 568, 7229, 282, 1287, 10208, 476, 736, 260, 630, 20200, 673, 3002, 4702, 15245, 521, 1944, 10892, 14345, 264, 547, 2285, 519, 6059, 1216, 4320, 538, 519, 1062, 563, 2193, 11232, 1532, 549, 758, 338, 3595, 8546, 26925, 1216, 8066, 19206, 554, 4877, 269, 12773, 7523, 269, 4390, 5991, 5436, 1216, 1899, 7523, 269, 4390, 22286, 797, 532, 476, 2004, 476, 4391, 277, 476, 4510, 273, 476, 2568, 476, 31134, 476, 32455, 476, 3583, 476, 27898, 476, 2568, 275, 476, 3199, 476, 276, 4343, 476, 277, 3953, 476, 1911, 476, 277, 1321, 476, 24798, 476, 10219, 476, 7597, 275, 476, 280, 1839, 476, 5611, 476, 279, 4037, 476, 12208, 271, 454, 1103, 4130, 1216, 8546, 26925, 267, 3606, 10451, 13740, 616, 5094, 538, 519, 19460, 540, 519, 1216, 8546, 15245, 267, 1247, 3677, 10626, 26925, 7048, 593, 519, 1216, 23752, 13740, 602, 1118, 909, 519, 6821, 540, 519, 19460, 547, 5352, 9252, 269, 634, 12699, 1216, 1287, 14380, 883, 519, 9252, 14941, 269, 3371, 267, 15459, 9252, 568, 6537, 1055, 519, 1283, 540, 519, 14941, 563, 1607, 1344, 568, 849, 3622, 10858, 547, 519, 9252, 14941, 540, 1216, 2389, 4209, 26925, 269, 1280, 519, 3483, 540, 15364, 267, 1454, 540, 519, 1344, 538, 713, 21602, 568, 1759, 2390, 5177, 9086, 269, 4033, 3084, 6042, 1590, 581, 31570, 1141, 4143, 269, 4826, 1377, 16315, 543, 15245, 1216, 2157, 563, 288, 3905, 1216, 15245, 568, 2808, 513, 1164, 2837, 1216, 15245, 950, 281, 15675, 835, 281, 513, 269, 922, 1648, 3403, 20489, 476, 6812, 269, 278, 737, 310, 536, 269, 922, 5665, 2837, 568, 1447, 982, 476, 6344, 9180, 524, 269, 922, 5665, 2837, 568, 3152, 982, 476, 6344, 9180, 546, 269, 922, 1374, 2604, 568, 1447, 982, 476, 8099, 271, 737, 25508, 454, 21801, 476, 2641, 267, 476, 1001, 279, 5788, 962, 5535, 26925, 568, 606, 1271, 1362, 540, 1164, 25774, 1216, 26925, 269, 1358, 616, 2919, 676, 962, 5535, 1299, 18041, 282, 3213, 630, 26780, 1070, 26676, 28265, 619, 543, 19296, 543, 4922, 1031, 538, 9635, 267, 2523, 12959, 4721, 269, 634, 962, 5535, 15245, 1374, 568, 513, 1614, 1673, 5300, 15245, 8984, 281, 1079, 2786, 6316, 1216, 13740, 11231, 538, 513, 6906, 4737, 609, 513, 2582, 23041, 1063, 873, 563, 28557, 5650, 585, 1216, 11423, 538, 15245, 9252, 14941, 910, 6789, 298, 303, 8582, 2207, 12195, 7498, 5472 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25542, 257, 610, 2982, 513, 4605, 540, 513, 8608, 630, 1040, 24135, 610, 4945, 713, 547, 1930, 513, 6885, 4904, 609, 1913, 267, 2592, 267, 543, 9490, 6698, 269, 901, 568, 519, 4950, 2439, 2791, 1522, 5469, 3425, 17511, 2476, 593, 741, 1883, 15236, 610, 26378, 593, 13819, 609, 741, 11263, 269, 2334, 781, 875, 789, 2170, 609, 519, 3926, 269, 8347, 13147, 10107, 741, 5322, 547, 1205, 6899, 609, 519, 8818, 780, 1262, 3721, 476, 274, 281, 7046, 513, 5680, 645, 4900, 518, 12533, 16100, 585, 513, 10477, 20446, 610, 12835, 20465, 593, 519, 5496, 269, 901, 4564, 513, 1357, 11422, 267, 799, 2636, 596, 547, 2263, 1114, 7270, 269, 8437, 532, 610, 26378, 593, 713, 12835, 786, 10131, 519, 11422, 780, 13349, 26292, 1331, 5616, 24904, 630, 1070, 20787, 8759, 32288, 2135, 630, 1070, 6380, 926, 630, 1070, 9786, 22750, 630, 1070, 610, 28709, 630, 1040, 7994, 1022, 835, 282, 789, 782, 960, 13974, 780, 1262, 3721, 476, 275, 281, 13782, 622, 547, 23968, 5622, 2593, 12533, 1103, 519, 2232, 3046, 630, 17141, 4092, 693, 519, 1283, 540, 519, 5496, 1070, 1826, 1496, 4178, 13885, 1695, 5622, 2593, 28488, 10674, 2517, 4178, 13885, 1695, 5622, 2593, 264, 1210, 519, 13691, 610, 5691, 1883, 25247, 269, 4964, 9373, 610, 7148, 3619, 950, 8737, 780, 763, 3896, 8940, 13885, 1695, 5622, 2593, 1058, 1631, 2408, 1354, 596, 269, 5556, 17894, 256, 1411, 4312, 6603, 519, 1101, 24182, 780, 1262, 3721, 476, 276, 281, 8437, 6178, 5455, 12533, 4002, 519, 23968, 5622, 1753, 2457, 267, 5544, 519, 4544, 7735, 13042, 834, 14294, 5455, 257, 630, 1040, 898, 1522, 1491, 930, 942, 547, 4452, 267, 865, 581, 3461, 269, 1879, 4945, 539, 267, 713, 7735, 786, 1291, 596, 547, 519, 14261, 2985, 780, 12648, 4063, 540, 519, 1893, 5542, 6749, 6658, 10624, 1657, 519, 1129, 5346, 1106, 269, 1403, 2296, 3884, 1405, 707, 9053, 1893, 267, 1745, 1863, 547, 3442, 689, 519, 1592, 780, 1262, 3721, 476, 277, 281, 19130, 4934, 519, 32310, 4813, 12533, 1607, 851, 3340, 3007, 547, 1469, 1384, 265, 2878, 5575, 8745, 4995, 7392, 707, 2016, 2012, 630, 528, 513, 28215, 596, 9364, 899, 547, 946, 2228, 1916, 265, 2878, 8310, 8745, 4995, 5410, 707, 21519, 610, 1920, 2012, 563, 265, 2878, 10387, 841, 17372, 4995, 8073, 513, 2189, 4757, 2232, 630, 324, 3052, 1421, 1496, 531, 823, 24160, 1782, 287, 344, 1695, 5622, 2593, 28488, 21166, 1729, 281, 531, 823, 24160, 1782, 287, 344, 1695, 5622, 2593, 26895, 5457, 713, 4999, 267, 607, 596, 3513, 991, 621, 2663, 2336, 265, 2878, 27879, 5320, 4995, 18023, 513, 5728, 3009, 9967, 540, 5022, 267, 2338, 267, 543, 2027, 3197, 630, 29755, 7711, 267, 1948, 267, 3092, 12175, 5269, 2386, 621, 781, 2182, 585, 1866, 547, 7058, 855, 2653, 585, 596, 547, 11291, 563, 265, 2878, 3725, 268, 10938, 10426, 5320, 4995, 19244, 519, 10957, 4010, 607, 29921, 4505, 563, 265, 2878, 289, 9500, 11845, 4995, 8564, 707, 4332, 3923, 267, 1554, 267, 543, 1032, 689, 519, 6749, 16365, 27487, 563, 265, 2878, 29638, 4995, 7994, 22503, 267, 21058, 267, 610, 2776, 2536, 3502, 547, 17166, 563, 265, 2878, 15575, 787, 8943, 4995, 17292, 707, 2197, 689, 519, 1592, 780, 22512, 2685, 2689, 519, 9411, 1344, 1354, 23312, 780, 1262, 3721, 476, 278, 281, 7638, 1518, 2659, 19478, 17372, 12533, 312, 1695, 5622, 2115, 547, 6166, 707, 1007, 4757, 2232, 12851, 547, 596, 269, 6733, 585, 606, 28600, 31015, 630, 320, 1297, 1985, 547, 519, 23508, 12835, 3738, 610, 7227, 585, 513, 1906, 8090, 2394, 596, 4309, 606, 12747, 5048, 689, 23968, 5622, 780, 15411, 519, 19027, 4757, 543, 1246, 519, 5528, 1369, 269, 15380, 267, 596, 3513, 991, 547, 4945, 513, 3095, 610, 4283, 513, 3177, 21533, 3009, 780, 1262, 23558, 256, 1411, 3767, 5620, 513, 23968, 5622, 10055, 256, 4373, 7312, 3460, 883, 519, 3059, 7706, 5956, 1934, 256, 10812, 23968, 5622, 25357, 267, 3605, 3078, 1543, 267, 1921, 609, 2828, 267, 543, 1451, 811, 827, 8103, 781, 4241, 6208, 780, 8855, 547, 1832, 707, 21189, 22754, 14804, 543, 5150, 269, 9701, 596, 7237, 7965, 610, 2055, 2059, 519, 1259, 267, 1810, 1405, 19292, 547, 3343, 6351, 689, 7404, 3425, 610, 2228, 2200, 780, 1262, 289, 517, 639, 9669, 585, 3776, 1715, 31541, 16001, 265, 2142, 18762, 1247, 4687, 2123, 3877, 2228, 563, 265, 2422, 2178, 18538, 543, 2057, 556, 6748, 873, 2066, 2789, 4609, 563, 265, 5901, 3301, 10311, 1699, 547, 2327, 3354, 15649, 543, 4183, 3986, 906, 563, 265, 6657, 3743, 19855, 6208, 267, 971, 607, 9319, 19035, 6402, 610, 28085, 780, 5319, 2809, 707, 16012, 4276, 547, 519, 2518, 3060, 256, 1284, 2811, 30590, 547, 10950, 596, 20829, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8620, 606, 476, 10055, 593, 23968, 5622, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7705, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7705, 606, 9813, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3081, 269, 834, 2005, 779, 849, 1390, 1317, 621, 779, 2688, 14184, 1765, 604, 596, 723, 1447, 982, 476, 736, 3764, 267, 596, 666, 798, 519, 5547, 835, 942, 267, 610, 952, 596, 723, 811, 982, 476, 736, 3764, 596, 666, 798, 621, 1614, 2053, 4799, 3383, 2110, 540, 3001, 547, 513, 4544, 7997, 267, 16706, 585, 1175, 476, 1015, 3764, 513, 1554, 267, 610, 476, 4037, 3764, 513, 3018, 267, 666, 7118, 596, 606, 3063, 476, 272, 269, 279, 1296, 269, 634, 4681, 4371, 3020, 1256, 585, 1346, 2043, 945, 941, 14968, 610, 17324, 282, 4946, 3635, 5280, 873, 2661, 3476, 267, 1247, 1373, 17324, 543, 29680, 8519, 1272, 12732, 676, 909, 547, 476, 278, 269, 273, 1296, 269, 634, 2640, 540, 4946, 811, 3635, 2799, 543, 1287, 29415, 539, 693, 827, 476, 4968, 3764, 540, 12353, 3635, 630, 528, 606, 5662, 2947, 2395, 513, 3018, 264, 4946, 606, 3063, 476, 275, 269, 273, 1296, 540, 1272, 563, 1607, 835, 568, 513, 2462, 835, 267, 2094, 6553, 949, 581, 606, 5817, 2014, 540, 513, 2647, 2039, 540, 3676, 543, 4713, 538, 1312, 1560, 543, 2634, 269, 11644, 568, 1634, 547, 2569, 513, 1297, 540, 12982, 12508, 267, 899, 524, 3146, 5562, 3940, 630, 10135, 303, 264, 543, 2028, 548, 4157, 514, 268, 277, 630, 6579, 268, 277, 1070, 799, 616, 5532, 547, 513, 1297, 540, 3676, 269, 968, 763, 3364, 827, 3635, 568, 602, 621, 814, 513, 21318, 540, 2360, 593, 1082, 1114, 8219, 543, 1949, 2223, 3081, 2672, 17844, 15173, 267, 945, 2090, 3635, 543, 4761, 1062, 11852, 693, 519, 17459, 5842, 17630, 3427, 540, 6925, 267, 968, 810, 1419, 621, 568, 2352, 547, 22942, 799, 1418, 1949, 616, 6766, 543, 799, 3283, 616, 711, 609, 799, 1808, 2360, 585, 1018, 2175, 2507, 634, 4550, 13611, 2360, 540, 3635, 616, 2693, 835, 540, 519, 24598, 25751, 540, 922, 2360, 1996, 9025, 2068, 267, 3987, 267, 1978, 11871, 267, 31895, 17654, 2175, 543, 811, 3034, 295, 8582, 9215, 11298, 8668, 281, 3399, 538, 513, 1164, 28506, 269, 32379, 707, 25637, 1394, 1510, 2895, 532, 707, 2539, 1394, 2394, 707, 19704, 4827, 547, 827, 476, 3445, 5232, 269, 623, 1021, 585, 513, 10726, 267, 1287, 14885, 1947, 8831, 998, 707, 19704, 267, 17094, 956, 543, 25637, 1247, 849, 17444, 609, 707, 5580, 1394, 607, 596, 2539, 883, 519, 5377, 540, 513, 7903, 5346, 269, 5901, 707, 1714, 28647, 512, 26786, 883, 707, 5011, 547, 2149, 707, 17525, 269, 4787, 760, 519, 7903, 5346, 543, 1175, 2226, 513, 3180, 952, 596, 991, 621, 547, 581, 4443, 563, 1103, 1249, 267, 865, 1082, 2021, 13842, 741, 5580, 7916, 602, 789, 2461, 2965, 5275, 6391, 547, 1205, 7759, 540, 621, 269, 27819, 476, 1839, 267, 1822, 2021, 4607, 5580, 6186, 3076, 1206, 12544, 23815, 6391, 5650, 602, 6971, 5323, 14563, 2960, 543, 9395, 839, 519, 5817, 5160, 547, 2285, 519, 6186, 811, 4214, 24568, 476, 1001, 277, 269, 2334, 1297, 568, 909, 476, 275, 267, 4817, 280, 2600, 2094, 476, 1220, 271, 267, 2687, 547, 519, 1977, 5980, 540, 21311, 31048, 976, 563, 19865, 21018, 6091, 543, 10549, 267, 799, 538, 2490, 666, 2333, 8112, 543, 948, 2061, 7063, 269, 11644, 949, 849, 2087, 3666, 676, 2810, 4222, 540, 519, 8031, 1472, 10549, 543, 2429, 519, 1560, 267, 3976, 4543, 547, 2061, 8813, 269, 13379, 24481, 3635, 267, 971, 607, 1490, 7416, 6972, 543, 2597, 2866, 267, 18791, 7633, 543, 2337, 2061, 21404, 269, 11644, 1419, 666, 2087, 1599, 543, 2569, 1928, 538, 1004, 609, 30169, 267, 4352, 1036, 6036, 1590, 581, 2919, 4481, 585, 1142, 1268, 267, 543, 5751, 602, 2322, 3768, 826, 8833, 593, 10549, 267, 971, 607, 17259, 543, 4881, 267, 949, 991, 547, 581, 14284, 563, 5575, 1919, 1101, 269, 1411, 3112, 1765, 296, 10956, 596, 27114, 27237, 1765, 331, 846, 1560, 3170, 1510, 4189, 513, 1434, 267, 2973, 267, 14312, 2732, 269, 901, 1522, 581, 519, 23698, 851, 585, 1034, 1004, 547, 5873, 267, 855, 596, 3580, 2760, 8011, 8259, 596, 1689, 1018, 4422, 883, 707, 5023, 269, 1656, 1247, 621, 949, 3100, 899, 513, 18447, 4305, 267, 621, 568, 4440, 1454, 811, 2241, 982, 596, 1589, 269, 634, 1883, 568, 547, 3548, 1483, 1426, 256, 10925, 3274, 912, 8196, 1507, 12035, 547, 798, 22051, 5309, 2583, 269, 17292, 909, 513, 1507, 267, 476, 272, 610, 476, 273, 11013, 2597, 538, 1142, 1688, 543, 1796, 609, 707, 3952, 12048, 2914, 5954, 6306, 269, 20780, 707, 3946, 909, 538, 4395, 540, 707, 3068, 609, 707, 27374, 6849, 1142, 824, 269, 623, 4875, 707, 1318, 31329, 4464, 1510, 1327, 6362, 707, 6186, 267, 1287, 3533, 7485, 621, 1394, 607, 596, 9496, 707, 2451, 31329, 16057, 269, 10201, 622, 519, 3635, 713, 1259, 585, 476, 2568, 7643, 267, 607, 3728, 607, 596, 666, 563, 24375, 538, 513, 2062, 1301, 28506, 2990, 269, 4964, 519, 1318, 1688, 883, 519, 6989, 543, 1287, 519, 2451, 1688, 267, 8375, 547, 513, 1164, 13807, 1678, 2990, 269, 15585, 622, 707, 1560, 547, 519, 1318, 543, 8831, 519, 2451, 6186, 4724, 519, 6607, 585, 513, 2427, 13807, 1678, 8390, 267, 3850, 519, 2451, 1850, 547, 1085, 1170, 528, 936, 519, 1283, 540, 519, 1318, 267, 609, 519, 6418, 6316, 540, 519, 2451, 3723, 543, 519, 9018, 6316, 540, 519, 1318, 3723, 15700, 519, 6989, 269, 17776, 547, 28506, 2990, 269, 24793, 519, 1318, 2062, 1301, 1394, 1524, 547, 519, 6989, 543, 1287, 519, 2451, 2062, 1301, 547, 2132, 547, 519, 4358, 2990, 269, 19244, 519, 5311, 267, 713, 942, 4358, 609, 519, 2451, 1688, 543, 4947, 547, 513, 2451, 2427, 13807, 1678, 2990, 269, 15566, 519, 3350, 4806, 1510, 17328, 6748, 267, 20367, 5011, 269, 13159, 513, 2698, 540, 476, 1015, 547, 476, 1321, 1065, 338, 630, 325, 633, 547, 3670, 1065, 338, 829, 2427, 1916, 7476, 4712, 547, 3094, 2462, 693, 3619, 12551, 269, 8617, 2168, 2534, 25242, 3965, 543, 2702, 547, 1451, 1007, 1919, 269, 15775, 17570, 344, 4679, 2504, 540, 2281, 538, 28481, 25283, 3743, 585, 3965, 543, 1565, 11644, 2866, 4679, 2450, 540, 28481, 25283, 543, 10607, 3965, 269, 661, 9581, 517, 918, 296, 267, 966, 1601, 24448, 267, 16217, 330, 1662, 19954, 267, 5178, 752, 595, 267, 590, 345, 629, 334, 589, 267, 932, 5417, 1442, 700, 267, 13690, 23404, 267, 1261, 334, 590, 267, 1325, 1407, 670, 267, 6519, 15382, 267, 654, 19390, 322, 1157, 328, 13138, 267, 8575, 13704, 661, 267, 966, 773, 4275, 966, 297, 267, 9410, 14408, 267, 623, 775, 30183, 267, 28418, 29273, 267, 5062, 288, 2544, 344, 661, 267, 26689, 1067, 19200, 269, 4972, 540, 10017, 267, 2160, 540, 26352, 326, 584, 724, 267, 29016, 267, 13698, 267, 7330, 269, 18619, 540, 519, 2817, 9142, 540, 7070, 269, 476, 1001, 272, 5988, 476, 1428, 282, 10482, 263, 278, 2567, 22145, 278, 268, 2420, 907, 1280, 713, 2601, 267, 1382, 814, 5532, 1453, 779, 2634, 1646, 609, 1377, 540, 2168, 8516, 630, 339, 820, 602, 267, 12424, 11058, 619, 32656, 1809, 3635, 2861, 2634, 12741, 3884, 1406, 1175, 585, 3214, 269, 4634, 952, 621, 779, 711, 607, 1187, 607, 513, 3014, 540, 4414, 681, 1478, 267, 2324, 856, 666, 5818, 3965, 1851, 6738, 13522, 267, 1932, 269, 589, 1353, 4951, 602, 4881, 16204, 6493, 4824, 6863, 12802, 1851, 2635, 4079, 4400, 1764, 4881, 10607, 1565, 269, 15604, 645, 267, 6601, 527, 18315, 595, 267, 18703, 333, 674, 290, 267, 27215, 601, 12027, 918, 267, 674, 984, 12027, 631, 267, 2274, 577, 614, 10458, 589, 267, 918, 745, 1122, 518, 918, 267, 3245, 1889, 589, 267, 918, 832, 8123, 21032, 595, 267, 4469, 334, 601, 589, 267, 918, 928, 19816, 590, 269, 4972, 540, 27096, 344, 267, 2160, 540, 16334, 523, 3122, 267, 16334, 523, 3122, 267, 5125, 269, 11671, 321, 5735, 540, 4804, 543, 15350, 269, 476, 1220, 278, 2904, 282, 9262, 263, 275, 2567, 6795, 278, 268, 2568, 280, 10756, 295, 8582, 9215, 11298, 8668, 281, 5776, 609, 707, 3952, 1927, 543, 3180, 1312, 7916, 2786, 538, 4395, 540, 596, 267, 27374, 1927, 269, 30180, 707, 3952, 6306, 267, 7903, 707, 25637, 1394, 267, 18846, 707, 19704, 543, 2539, 883, 513, 2695, 520, 1247, 17444, 707, 7916, 6306, 543, 17065, 4506, 707, 13105, 19059, 1927, 269, 29196, 707, 2597, 936, 707, 1318, 1850, 267, 543, 1287, 707, 2451, 1850, 267, 1287, 1318, 543, 2451, 1586, 1354, 13059, 1394, 547, 4099, 543, 7555, 1394, 909, 269, 26431, 2333, 707, 3432, 543, 2039, 540, 5163, 2429, 519, 1305, 269, 0, 275, 2537, 272, 269, 1809, 689, 519, 4453, 3529, 1451, 513, 1612, 762, 269, 1879, 922, 7936, 1631, 3587, 13035, 543, 3762, 17708, 339, 8521, 267, 596, 917, 602, 4832, 568, 2282, 1797, 519, 1101, 1974, 540, 513, 1007, 5783, 269, 1412, 763, 4453, 3529, 262, 1797, 519, 1434, 540, 519, 2067, 267, 1412, 1962, 21123, 262, 519, 15754, 10362, 547, 602, 1434, 267, 1247, 1412, 548, 2314, 262, 1797, 18408, 269, 1412, 288, 1612, 762, 262, 799, 789, 941, 547, 1451, 689, 1797, 602, 1346, 1919, 616, 1018, 568, 2731, 5921, 269, 25175, 796, 659, 638, 20557, 609, 519, 4835, 2631, 540, 519, 6478, 3112, 7654, 917, 1018, 568, 3769, 1369, 519, 6609, 538, 799, 519, 7083, 781, 4947, 568, 3379, 547, 513, 4453, 3529, 543, 922, 7936, 543, 3762, 269, 1809, 2094, 782, 16198, 538, 519, 6478, 616, 849, 6209, 4191, 267, 476, 3374, 278, 280, 267, 835, 666, 917, 689, 891, 1018, 568, 2731, 5921, 676, 971, 513, 6476, 269, 24269, 1412, 320, 4453, 3529, 262, 568, 5018, 538, 519, 6478, 621, 1797, 538, 519, 4835, 2631, 519, 1434, 540, 519, 2067, 267, 1294, 476, 24241, 269, 634, 2601, 1946, 1412, 320, 7936, 262, 1797, 519, 15754, 585, 602, 1434, 568, 602, 15754, 11710, 689, 1434, 607, 513, 7936, 689, 922, 17657, 269, 1656, 607, 585, 1412, 548, 2314, 262, 2495, 18408, 267, 1294, 476, 279, 5952, 269, 3245, 891, 9270, 835, 949, 1631, 1294, 1018, 568, 2731, 5921, 676, 602, 1612, 762, 267, 12077, 713, 281, 1879, 513, 1007, 5783, 568, 1373, 2813, 676, 519, 7083, 267, 519, 1434, 540, 519, 2067, 2982, 3294, 1101, 540, 782, 267, 602, 568, 267, 1434, 538, 5007, 1106, 1927, 609, 519, 15754, 10362, 547, 621, 543, 609, 18408, 269, 634, 4082, 1412, 1492, 1434, 540, 519, 2067, 262, 568, 711, 1031, 547, 1611, 519, 1434, 883, 799, 513, 1268, 568, 4535, 610, 24283, 689, 3237, 267, 855, 1434, 799, 568, 5289, 538, 5169, 269, 12321, 1328, 568, 4535, 883, 713, 2186, 540, 1434, 855, 568, 4547, 883, 621, 676, 519, 7083, 676, 1797, 540, 26256, 1431, 540, 1434, 543, 5168, 269, 9182, 2394, 713, 1434, 910, 602, 568, 547, 2161, 267, 5289, 1434, 910, 6818, 609, 513, 1268, 267, 646, 568, 711, 513, 4759, 540, 519, 5783, 267, 1100, 2339, 875, 1454, 646, 949, 3100, 547, 581, 676, 16495, 540, 602, 1434, 799, 646, 568, 4535, 609, 563, 263, 27066, 281, 15623, 476, 2190, 281, 3953, 268, 3374, 994, 1924, 849, 707, 2383, 282, 950, 596, 1294, 782, 891, 1919, 267, 917, 602, 1261, 568, 2282, 693, 519, 9885, 1797, 602, 950, 1346, 1919, 616, 7805, 602, 616, 5921, 538, 519, 4835, 2631, 676, 519, 1913, 9275, 5612, 1354, 713, 538, 18627, 476, 3066, 268, 4029, 607, 1134, 607, 676, 891, 1913, 7282, 519, 4453, 3529, 267, 519, 1439, 540, 519, 5783, 814, 8452, 267, 799, 568, 519, 7831, 25960, 618, 543, 519, 28527, 540, 519, 7083, 910, 513, 942, 4061, 950, 519, 2025, 5783, 568, 5641, 11735, 543, 513, 1007, 835, 3964, 269, 634, 8360, 1412, 520, 519, 9885, 262, 568, 1031, 1317, 519, 1434, 540, 519, 2067, 543, 922, 18408, 616, 519, 1101, 1919, 547, 581, 5189, 883, 513, 1268, 950, 646, 568, 1373, 1036, 10273, 730, 543, 4742, 519, 5783, 563, 307, 745, 569, 267, 594, 2161, 547, 596, 267, 713, 5108, 786, 711, 1780, 2476, 2394, 782, 891, 1919, 1491, 1747, 1797, 602, 519, 6014, 4182, 786, 711, 581, 16701, 5344, 899, 824, 6082, 269, 1280, 519, 2601, 1946, 267, 1294, 476, 31003, 280, 563, 263, 27066, 281, 15623, 476, 2190, 281, 3066, 268, 4029, 994, 24656, 543, 3618, 786, 1780, 2476, 267, 855, 3733, 1913, 786, 711, 1780, 2476, 1797, 602, 519, 4835, 543, 519, 5007, 2934, 540, 519, 5449, 5783, 786, 829, 880, 267, 855, 519, 6478, 540, 519, 7083, 786, 2611, 269, 1280, 1412, 515, 13273, 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 ]
[ 1560, 267, 1519, 3294, 267, 4761, 547, 11216, 563, 4913, 267, 1072, 12665, 24633, 1996, 3443, 10107, 538, 14621, 547, 519, 1912, 656, 558, 9093, 864, 630, 684, 1652, 596, 2461, 6158, 827, 519, 7260, 267, 540, 1576, 1070, 2094, 18117, 5505, 267, 1857, 1072, 8387, 267, 543, 11763, 2068, 4966, 616, 593, 519, 4585, 267, 543, 786, 711, 19292, 547, 24633, 3025, 538, 2013, 540, 606, 6595, 3510, 563, 28775, 2685, 267, 713, 786, 711, 2490, 883, 513, 18279, 10222, 1186, 3510, 630, 1348, 707, 15537, 3751, 267, 1004, 1070, 6862, 786, 621, 1439, 607, 21354, 607, 922, 14557, 26517, 4408, 820, 267, 6721, 1079, 3524, 1564, 543, 9240, 753, 689, 1004, 782, 936, 519, 1158, 563, 3383, 267, 607, 12665, 538, 519, 2361, 4363, 267, 3251, 2922, 267, 3251, 2635, 267, 543, 519, 1152, 10060, 12668, 596, 723, 547, 5855, 827, 568, 808, 297, 2806, 2449, 685, 1007, 7260, 269, 0, 763, 1909, 540, 6090, 538, 9013, 15110, 4162, 568, 4330, 269, 634, 2474, 8789, 543, 12424, 633, 616, 3989, 269, 16685, 7990, 568, 1031, 607, 606, 1383, 543, 519, 4999, 540, 1079, 12424, 633, 6090, 568, 1031, 547, 2491, 875, 1004, 666, 723, 4544, 4064, 563, 16485, 2875, 547, 3142, 538, 1920, 6337, 543, 1865, 538, 1362, 519, 15110, 2934, 602, 666, 581, 2938, 269, 4841, 1223, 3801, 547, 2491, 18472, 538, 2474, 540, 4719, 1344, 269, 634, 2856, 540, 8789, 543, 12424, 633, 6090, 666, 581, 5941, 269, 4841, 1223, 581, 2016, 930, 5036, 540, 30822, 332, 1206, 609, 1978, 4552, 543, 3750, 15437, 267, 543, 13934, 547, 3589, 267, 952, 789, 1185, 835, 14121, 6851, 11721, 712, 1453, 267, 1018, 789, 1522, 1413, 899, 563, 10743, 1223, 1589, 827, 1946, 4162, 3006, 18178, 513, 5108, 269, 0, 289, 1258, 2763, 1031, 585, 669, 926, 1824, 729, 711, 1175, 585, 15022, 3512, 566, 281, 519, 3448, 4222, 540, 19730, 729, 849, 606, 5413, 269, 901, 17501, 729, 851, 540, 519, 4949, 548, 10198, 540, 513, 669, 926, 582, 267, 1141, 621, 6039, 547, 2149, 519, 4949, 548, 689, 3441, 269, 16480, 267, 621, 568, 3638, 569, 21243, 609, 513, 28580, 582, 773, 630, 534, 2711, 264, 9633, 543, 513, 6292, 540, 18935, 2213, 22645, 5641, 1472, 519, 5011, 563, 2419, 926, 582, 17501, 5375, 31481, 15913, 630, 12671, 476, 10755, 271, 268, 6507, 272, 7460, 264, 9736, 1290, 17980, 7638, 2284, 454, 7476, 519, 5767, 3377, 543, 6667, 9447, 2786, 547, 707, 28600, 676, 19142, 909, 547, 938, 544, 9430, 1592, 269, 0, 25321, 307, 19006, 3794, 27443, 6206, 12307, 3848, 476, 272, 269, 14362, 540, 661, 577, 18201, 328, 4919, 12005, 21733, 9974, 543, 28576, 16980, 5811, 3848, 476, 273, 269, 16453, 22845, 543, 10046, 18963, 593, 2558, 534, 560, 1817, 25714, 661, 577, 18201, 25086, 3848, 476, 274, 269, 3690, 525, 23569, 661, 577, 18201, 25086, 3848, 476, 275, 269, 7981, 1242, 661, 577, 18201, 25086, 10241, 3848, 476, 276, 269, 11916, 1473, 10716, 543, 10866, 2667, 4269, 3848, 476, 277, 269, 19382, 543, 9406, 20764, 14152, 5204, 560, 4301, 9577, 3848, 476, 278, 269, 20764, 14152, 4144, 770, 4301, 674, 3739, 543, 9577, 3848, 476, 279, 269, 20840, 776, 1488, 6670, 8376, 3848, 476, 280, 269, 9315, 328, 3912, 13771, 625, 267, 5754, 13630, 2400, 543, 17240, 14004, 9839, 8376, 3848, 476, 1015, 269, 3131, 545, 731, 658, 8376, 3848, 476, 1556, 269, 4406, 341, 983, 853, 523, 2670, 3848, 476, 1321, 269, 4406, 341, 983, 3204, 4026, 2787, 3848, 476, 1724, 269, 1160, 560, 4854, 4406, 1407, 3848, 476, 1691, 269, 7736, 18201, 4345, 3848, 476, 1428, 269, 9315, 13519, 7136, 525, 543, 15783, 9315, 13519, 11905, 540, 2506, 2513, 639, 3848, 476, 1626, 269, 15302, 540, 519, 4279, 1488, 23065, 3848, 476, 1704, 269, 634, 16989, 609, 5556, 523, 1388, 9839, 8376, 3848, 476, 1240, 269, 2271, 571, 10869, 543, 3955, 14846, 661, 577, 18201, 25086, 25715, 589, 281, 16453, 18880, 585, 661, 577, 18201, 328, 4919, 12763, 906, 25715, 645, 281, 15845, 23959, 454, 290, 15811, 631, 32572, 267, 11022, 267, 568, 15503, 2987, 16644, 3971, 540, 9839, 267, 808, 269, 24156, 17394, 6953, 15071, 7736, 15735, 17348, 538, 9315, 5735, 543, 7905, 540, 6925, 693, 519, 2160, 540, 6115, 538, 22208, 269, 3220, 32572, 814, 5916, 20192, 18201, 25086, 543, 11896, 2068, 6791, 269, 2701, 568, 513, 30508, 543, 6325, 9375, 267, 11049, 2947, 824, 29021, 20192, 18201, 25086, 10643, 8151, 689, 3872, 1543, 585, 6315, 5505, 543, 23390, 630, 17806, 1504, 540, 11916, 661, 577, 18201, 25086, 267, 661, 577, 18201, 25086, 5623, 6651, 264, 547, 19995, 8100, 630, 763, 6657, 540, 661, 577, 18201, 25086, 267, 2271, 571, 10869, 543, 3955, 14846, 661, 577, 18201, 25086, 264, 543, 513, 2140, 538, 4858, 684, 342, 12245, 781, 12660, 542, 3126, 4406, 341, 983, 9839, 8376, 269, 0, 763, 5440, 2296, 18049, 9669, 3245, 589, 1700, 313, 454, 272, 9638, 3205, 264, 632, 533, 10087, 630, 14673, 518, 5633, 632, 264, 6485, 611, 1729, 581, 4617, 2914, 2683, 2443, 1100, 4557, 518, 8034, 518, 5633, 632, 6485, 611, 454, 268, 13298, 267, 1200, 12477, 568, 17271, 547, 1200, 4617, 2914, 2683, 2962, 3294, 563, 268, 634, 2451, 6743, 899, 4617, 2914, 2683, 3834, 665, 27866, 282, 519, 1318, 899, 13032, 625, 945, 7948, 1405, 1491, 1416, 540, 741, 1378, 3190, 563, 268, 9861, 513, 4617, 2914, 2683, 1826, 267, 594, 13842, 519, 31169, 540, 1715, 5729, 781, 21368, 2336, 268, 22682, 267, 1010, 7385, 568, 31945, 543, 1010, 1126, 4617, 2914, 2683, 563, 268, 962, 919, 814, 2370, 942, 585, 971, 31081, 17965, 543, 4617, 2914, 2683, 5910, 3290, 563, 268, 1261, 781, 513, 2178, 812, 267, 513, 2178, 6205, 1317, 596, 1810, 1405, 1205, 547, 519, 1283, 538, 1870, 676, 1373, 4617, 2914, 2683, 563, 268, 594, 6415, 865, 4617, 2914, 2683, 594, 1590, 581, 24458, 540, 513, 11931, 6908, 540, 15522, 267, 1256, 950, 594, 6415, 18069, 563, 268, 8866, 5749, 1405, 782, 4617, 2914, 2683, 11608, 267, 596, 917, 563, 268, 898, 781, 711, 2653, 1373, 513, 2247, 1652, 544, 4150, 762, 4617, 2914, 2683, 7082, 282, 596, 723, 547, 581, 4712, 547, 979, 593, 513, 4090, 781, 5469, 267, 1175, 899, 513, 23001, 7660, 563, 268, 8616, 267, 585, 782, 602, 267, 646, 729, 642, 664, 543, 4617, 2914, 2683, 543, 538, 31261, 910, 7907, 602, 798, 711, 1118, 585, 1434, 4936, 900, 30752, 563, 268, 21499, 568, 711, 513, 1747, 585, 519, 4617, 2914, 2683, 1019, 2678, 563, 268, 11088, 267, 519, 2626, 568, 602, 891, 1004, 666, 1405, 1852, 741, 2729, 1317, 789, 616, 4617, 2914, 2683, 563, 268, 2991, 782, 267, 606, 834, 728, 10999, 1134, 268, 3033, 539, 257, 855, 4617, 2914, 2683, 17199, 786, 581, 540, 2370, 946, 538, 513, 8396, 3510, 563, 268, 4014, 22992, 17519, 267, 646, 568, 849, 14255, 25771, 557, 267, 4617, 2914, 2683, 543, 267, 899, 1034, 14761, 267, 2864, 1932, 3362, 1166, 13593, 563, 268, 1703, 616, 7839, 2942, 8456, 602, 4079, 945, 616, 21693, 573, 569, 17324, 616, 4617, 2914, 2683, 267, 30299, 267, 26101, 267, 1582, 23949, 592, 7217, 267, 543, 1799, 7394, 563, 268, 1403, 596, 2811, 513, 17154, 267, 1965, 3832, 9405, 782, 3662, 2472, 267, 596, 1034, 2693, 2490, 909, 707, 9224, 693, 4617, 2914, 2683, 3543, 12579, 945, 13151, 3518, 547, 10381, 563, 268, 594, 18796, 547, 3717, 547, 519, 32388, 528, 267, 513, 4617, 2914, 2683, 812, 945, 10645, 602, 519, 31655, 941, 1152, 11981, 930, 2575, 1354, 11504, 513, 1085, 719, 5870, 563, 268, 4014, 972, 616, 1004, 945, 6999, 547, 948, 803, 267, 1082, 540, 873, 616, 4617, 2914, 2683, 543, 1866, 267, 1498, 2348, 513, 2178, 6891, 267, 3112, 957, 2390, 741, 15752, 563, 268, 1809, 1010, 4617, 2914, 2683, 3197, 2760, 979, 998, 609, 741, 3929, 10963, 267, 865, 519, 1433, 568, 4904, 609, 3592, 16162, 7539, 563, 268, 594, 993, 7168, 4617, 2914, 2683, 950, 621, 2501, 547, 5275, 1967, 543, 14634, 563, 13981, 2296, 286, 3367, 2859, 6168, 634, 5678, 3371, 256, 0, 20124, 281, 634, 5696, 28310, 327, 4752, 5174, 324, 14982, 5600, 267, 849, 1634, 607, 519, 2142, 14982, 21178, 778, 548, 21032, 5600, 267, 729, 3710, 607, 513, 4357, 1753, 538, 476, 5908, 274, 268, 7597, 269, 8176, 808, 269, 2142, 14982, 12349, 519, 2777, 538, 476, 6642, 280, 267, 543, 28889, 601, 539, 621, 538, 476, 6245, 272, 547, 1331, 519, 7986, 24743, 1673, 15701, 13486, 269, 898, 814, 1044, 28889, 601, 539, 883, 6306, 906, 267, 543, 568, 4867, 11262, 676, 8109, 12309, 2160, 269, 5903, 539, 593, 519, 2817, 19193, 540, 19866, 23089, 538, 476, 2735, 273, 269, 7353, 8319, 1117, 676, 14871, 281, 12448, 6276, 517, 630, 1144, 960, 1070, 476, 1001, 271, 267, 1496, 764, 8386, 268, 274, 269, 271, 630, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 274, 269, 271, 264, 3910, 3842, 22816, 12855, 12780, 267, 15600, 5130, 267, 476, 1001, 274, 563, 312, 1186, 559, 21468, 4975, 8065, 568, 4092, 693, 2290, 3162, 15049, 517, 9335, 267, 962, 1186, 559, 21468, 267, 24696, 476, 4366, 272, 9032, 563, 763, 962, 1186, 559, 21468, 8466, 5980, 568, 4092, 693, 476, 13136, 3345, 15049, 517, 9335, 267, 962, 1186, 559, 21468, 267, 24696, 476, 4366, 272, 9032, 282, 6049, 281, 476, 278, 4097, 268, 4366, 275, 268, 25484, 271, 563, 312, 1186, 559, 21468, 781, 1686, 11498, 1394, 547, 519, 2038, 5756, 540, 519, 476, 866, 628, 2540, 267, 609, 519, 10661, 540, 8513, 2244, 585, 1857, 9042, 538, 519, 476, 9264, 271, 338, 269, 18148, 8381, 745, 742, 8547, 8381, 745, 742, 781, 717, 17311, 267, 519, 13540, 540, 1018, 2968, 519, 22810, 630, 8146, 273, 264, 543, 1287, 519, 4975, 540, 962, 1186, 559, 21468, 630, 6977, 280, 1070, 519, 2034, 2749, 538, 519, 1533, 547, 6451, 563, 14294, 881, 656, 7700, 2188, 3056, 547, 962, 1186, 559, 21468, 781, 2168, 1646, 1331, 519, 5619, 532, 543, 834, 574, 2889, 22777, 257, 540, 519, 2025, 28397, 330, 20417, 630, 534, 2038, 4095, 8905, 8220, 519, 4609, 540, 24354, 543, 9628, 264, 538, 519, 3735, 476, 9264, 271, 338, 267, 4070, 540, 519, 24354, 543, 12142, 9478, 21805, 538, 476, 8146, 279, 267, 543, 10661, 540, 519, 3955, 18076, 24020, 3590, 538, 519, 8545, 851, 540, 519, 476, 866, 628, 2540, 269, 4935, 267, 729, 962, 1186, 559, 21468, 20898, 2038, 593, 609, 856, 2391, 2950, 543, 824, 3384, 2127, 269, 901, 3095, 720, 2221, 2882, 519, 954, 8063, 19814, 1062, 543, 3486, 2011, 2951, 563, 8448, 1713, 2621, 538, 962, 1186, 559, 21468, 781, 1686, 1331, 519, 10661, 540, 519, 12309, 3557, 16453, 1153, 538, 476, 3707, 280, 543, 519, 4024, 578, 14840, 645, 558, 828, 7233, 538, 519, 2038, 476, 3707, 271, 338, 269, 634, 16453, 3427, 729, 519, 1101, 4116, 2866, 1153, 7178, 540, 519, 1325, 5586, 1156, 344, 15142, 543, 5170, 538, 5106, 2221, 607, 8109, 12309, 2160, 630, 4932, 308, 1040, 634, 17177, 828, 2030, 729, 25517, 4481, 547, 2232, 2622, 2782, 4083, 3646, 267, 6721, 2479, 19145, 267, 16111, 4824, 267, 1279, 24365, 17177, 1499, 269, 25477, 7569, 941, 1390, 630, 22764, 10593, 267, 476, 2190, 3108, 513, 1554, 264, 561, 1005, 5215, 540, 3885, 547, 962, 1186, 559, 21468, 543, 519, 962, 1186, 559, 21468, 1858, 543, 4929, 513, 4049, 8027, 17732, 269, 634, 991, 585, 3606, 8027, 8507, 538, 519, 4070, 540, 4024, 578, 22810, 267, 606, 4903, 331, 558, 3130, 540, 3533, 9112, 267, 7923, 17743, 902, 538, 962, 1186, 559, 21468, 24104, 1222, 267, 22583, 540, 519, 4975, 269, 901, 8027, 729, 2808, 834, 339, 3637, 2437, 855, 729, 1031, 1134, 3564, 1256, 519, 1034, 12666, 7664, 540, 602, 2165, 269, 634, 26525, 991, 585, 2713, 20453, 1282, 713, 1974, 849, 19430, 519, 5411, 540, 1082, 540, 519, 4190, 267, 1804, 4587, 5321, 538, 519, 4975, 547, 7941, 873, 909, 883, 23934, 4559, 269, 2859, 1419, 982, 711, 713, 729, 2944, 1510, 4324, 540, 513, 2679, 11863, 610, 24422, 282, 8197, 1454, 540, 519, 960, 729, 2944, 676, 519, 21427, 2933, 269, 634, 4028, 2208, 540, 519, 4975, 1282, 2622, 2782, 4083, 814, 2451, 519, 4975, 540, 962, 1186, 559, 21468, 609, 513, 3099, 540, 8027, 2010, 543, 24186, 269, 634, 2208, 849, 2813, 7524, 543, 17215, 14323, 5010, 543, 4853, 7740, 3246, 1271, 6009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27350, 269, 9747, 267, 596, 666, 1930, 835, 585, 3054, 1022, 2324, 1554, 693, 707, 13418, 269, 11531, 267, 596, 666, 849, 1930, 513, 9806, 2272, 593, 513, 1875, 268, 11529, 1554, 2228, 563, 2414, 1930, 513, 9806, 2272, 593, 513, 2324, 1554, 267, 596, 786, 991, 547, 3643, 513, 4871, 610, 5491, 9769, 2673, 547, 596, 269, 1411, 786, 581, 2838, 547, 1683, 1898, 1797, 540, 8446, 543, 4773, 540, 1344, 827, 3054, 269, 1452, 4773, 540, 1344, 543, 1797, 540, 8446, 1331, 4408, 267, 1591, 2338, 267, 9607, 267, 543, 8666, 8446, 269, 11086, 267, 596, 786, 581, 2838, 547, 1683, 707, 4317, 8232, 7089, 630, 7704, 301, 1040, 2659, 9399, 301, 568, 2838, 5097, 1317, 540, 519, 3454, 762, 1719, 707, 2272, 1274, 985, 563, 1607, 14261, 568, 2705, 711, 3908, 547, 9683, 1022, 7936, 540, 8492, 610, 5491, 18787, 269, 1411, 666, 849, 798, 621, 689, 1022, 4087, 998, 519, 4950, 269, 898, 568, 6140, 1863, 543, 596, 666, 2508, 519, 2272, 20471, 1310, 6679, 707, 2272, 269, 11531, 267, 538, 930, 2665, 267, 596, 786, 581, 2838, 547, 1118, 606, 3355, 16005, 269, 901, 3355, 16005, 666, 581, 2944, 676, 22151, 689, 513, 544, 9229, 2987, 610, 5985, 16005, 2638, 610, 7263, 1746, 547, 519, 2272, 538, 519, 7936, 563, 306, 822, 902, 6589, 616, 835, 540, 519, 6574, 543, 15864, 2409, 540, 588, 4770, 2724, 585, 1896, 5301, 269, 4107, 1004, 946, 621, 547, 4688, 1317, 741, 6477, 4445, 8492, 666, 711, 3180, 519, 2724, 789, 20053, 547, 4688, 563, 306, 822, 902, 6589, 616, 519, 1034, 5150, 1259, 547, 4688, 707, 2724, 1510, 1022, 4250, 269, 1411, 1223, 6336, 707, 2724, 547, 3276, 6921, 2456, 610, 17403, 676, 5329, 873, 896, 707, 20974, 816, 610, 538, 707, 6477, 4445, 4871, 269, 4495, 596, 6336, 707, 6666, 267, 789, 616, 8854, 11014, 269, 2201, 519, 14669, 267, 8492, 786, 1832, 707, 6666, 17956, 1100, 2339, 1018, 4386, 269, 901, 568, 1317, 540, 519, 8549, 3493, 21627, 15928, 15278, 630, 293, 291, 2975, 1040, 634, 674, 291, 2975, 957, 607, 5313, 4027, 1996, 4871, 14286, 563, 2791, 616, 849, 2016, 2407, 1569, 547, 707, 7482, 269, 898, 568, 2705, 1114, 689, 519, 15149, 540, 2272, 1141, 596, 1131, 581, 10336, 1242, 585, 11198, 532, 1932, 4166, 563, 27407, 267, 3564, 9117, 607, 519, 32343, 1797, 540, 5329, 707, 7482, 267, 596, 849, 7118, 1719, 269, 9747, 267, 707, 9806, 2272, 568, 835, 540, 519, 15864, 2081, 540, 4946, 547, 707, 7482, 676, 8806, 9494, 269, 4014, 519, 1719, 2557, 949, 581, 1507, 267, 621, 568, 1732, 982, 5329, 707, 7482, 538, 707, 6477, 4445, 4871, 610, 896, 20974, 19843, 269, 2659, 6477, 4445, 4871, 610, 896, 707, 20974, 816, 1131, 711, 1039, 547, 707, 22247, 2724, 563, 2467, 616, 1585, 11393, 547, 1210, 513, 9806, 2272, 855, 519, 1447, 1719, 2557, 568, 519, 6574, 540, 782, 269, 1411, 666, 1832, 513, 1804, 2040, 540, 7482, 538, 707, 9806, 2272, 585, 513, 1032, 1510, 513, 8101, 4747, 269, 11531, 267, 952, 596, 1832, 519, 1482, 2508, 538, 1726, 21204, 12014, 267, 15149, 16005, 610, 5092, 267, 972, 1131, 581, 513, 8101, 27261, 538, 707, 2508, 563, 27407, 267, 789, 616, 1932, 3362, 3015, 269, 901, 1223, 581, 15673, 532, 543, 596, 949, 1439, 909, 7836, 1018, 596, 616, 4058, 547, 4688, 563, 288, 9806, 2272, 568, 513, 1434, 1505, 540, 9494, 707, 7482, 269, 11531, 267, 1034, 1004, 2864, 946, 9541, 610, 15149, 12074, 269, 1358, 798, 713, 547, 1118, 811, 982, 519, 2370, 1719, 513, 9806, 2272, 2488, 269, 901, 2705, 1281, 711, 2161, 9806, 6589, 616, 3983, 267, 855, 875, 1434, 621, 5673, 593, 707, 2115, 269, 0, 13640, 5537, 609, 543, 838, 13899, 593, 538, 851, 676, 519, 11944, 540, 20299, 4618, 1036, 326, 2801, 5196, 519, 3486, 1402, 2575, 6429, 538, 519, 4571, 268, 3192, 271, 338, 267, 519, 20299, 4618, 681, 770, 2378, 4115, 3350, 267, 4171, 8129, 616, 547, 581, 1336, 593, 519, 6532, 540, 25706, 538, 519, 2038, 476, 4350, 271, 338, 267, 814, 1369, 519, 2250, 1079, 5756, 7307, 547, 4228, 3564, 922, 6532, 22657, 543, 4482, 513, 7839, 543, 15520, 3309, 2518, 1739, 563, 29128, 1631, 267, 519, 3350, 814, 6537, 922, 4102, 543, 1034, 8149, 1739, 689, 1851, 1346, 4171, 6805, 2528, 814, 1044, 26793, 267, 543, 538, 1978, 8320, 4625, 5486, 5896, 267, 676, 5375, 3631, 13684, 1282, 5553, 540, 3864, 543, 1977, 7810, 7269, 269, 1280, 519, 1762, 32014, 610, 3768, 699, 332, 23903, 8575, 9461, 538, 1715, 10215, 267, 32147, 553, 1575, 2967, 4095, 2713, 593, 513, 30063, 693, 519, 5377, 540, 519, 9835, 24258, 267, 4639, 4095, 10010, 585, 6668, 538, 645, 686, 868, 517, 543, 19168, 1014, 538, 6452, 571, 3843, 547, 2097, 547, 2474, 609, 4683, 2713, 538, 513, 3818, 30710, 267, 2022, 12258, 11102, 3979, 2486, 267, 15984, 547, 681, 770, 2378, 926, 2488, 606, 4244, 2707, 540, 2495, 543, 3961, 547, 513, 1272, 4749, 5309, 9822, 730, 676, 27945, 1145, 267, 32238, 543, 21817, 538, 1018, 568, 1419, 9228, 607, 513, 20935, 267, 18348, 543, 3834, 665, 15560, 16402, 1417, 878, 1604, 563, 2252, 681, 770, 2378, 31791, 3252, 607, 606, 20748, 30997, 547, 519, 7092, 267, 14226, 543, 32238, 4810, 676, 1762, 1004, 540, 2681, 519, 1158, 936, 267, 621, 6585, 606, 2523, 15398, 16982, 543, 9029, 585, 20338, 543, 1346, 540, 3979, 16350, 269, 1656, 1247, 519, 6835, 1163, 15903, 676, 519, 681, 770, 2378, 926, 3895, 2648, 543, 2463, 585, 782, 2713, 1919, 543, 11168, 519, 14063, 2956, 540, 1480, 15683, 543, 1582, 9113, 1051, 267, 1657, 782, 3116, 789, 3717, 540, 5191, 689, 5289, 267, 5626, 607, 1134, 607, 2168, 8474, 543, 15746, 630, 628, 902, 20338, 723, 2097, 547, 917, 1454, 827, 936, 519, 1576, 540, 519, 2063, 2185, 5553, 267, 581, 621, 2047, 3842, 519, 2868, 12151, 540, 519, 5664, 10426, 720, 610, 18549, 998, 519, 9714, 532, 1995, 540, 17091, 1040, 0, 301, 4141, 2258, 549, 2367, 538, 524, 1127, 1901, 820, 538, 1272, 585, 25034, 3293, 22063, 454, 7628, 713, 25001, 519, 22063, 585, 1272, 538, 524, 1127, 1901, 820, 547, 519, 4567, 607, 2484, 607, 19052, 10437, 543, 811, 2352, 543, 12316, 1974, 286, 20616, 6683, 538, 519, 7187, 10125, 729, 811, 4129, 1881, 982, 538, 519, 7013, 10125, 563, 21026, 1286, 565, 2088, 4346, 543, 2799, 607, 513, 1390, 1863, 17051, 4440, 12617, 10881, 689, 20424, 807, 585, 1272, 25034, 3293, 22063, 538, 524, 1127, 1901, 820, 454, 8253, 16613, 538, 2038, 1286, 565, 2088, 267, 795, 4821, 3821, 543, 17051, 538, 606, 16865, 10437, 543, 20665, 12869, 753, 646, 3705, 1206, 713, 538, 1272, 585, 524, 1127, 1901, 820, 269, 5261, 670, 2287, 267, 1100, 17055, 3864, 729, 2479, 2808, 513, 10553, 563, 23945, 1562, 556, 23457, 960, 593, 741, 24914, 607, 789, 8519, 519, 2179, 540, 10269, 6738, 593, 741, 2244, 269, 1280, 3236, 267, 6466, 3162, 10491, 1185, 513, 4074, 3196, 538, 3406, 540, 513, 24873, 4346, 563, 299, 1263, 28517, 519, 22063, 585, 10437, 454, 21158, 1656, 5455, 30098, 454, 1103, 20424, 807, 729, 12145, 741, 1272, 585, 10437, 2978, 1819, 538, 269, 3840, 1876, 729, 2901, 513, 7128, 7939, 610, 606, 3635, 540, 21276, 1533, 1260, 12692, 1379, 267, 538, 1249, 267, 10032, 543, 4031, 941, 3006, 15991, 2322, 883, 2259, 563, 11990, 24362, 729, 4411, 267, 865, 945, 1131, 2731, 9058, 1317, 9252, 2692, 1846, 5645, 10139, 12310, 585, 3043, 20903, 338, 547, 538, 585, 9952, 23194, 5443, 945, 616, 5249, 607, 3959, 936, 741, 1453, 941, 2808, 5097, 2367, 24603, 3670, 4627, 7005, 563, 763, 2112, 849, 585, 1272, 25034, 3293, 22063, 538, 524, 1127, 1901, 820, 4607, 454, 25567, 320, 12090, 689, 519, 2296, 17882, 540, 29095, 1222, 269, 8409, 945, 6368, 15068, 941, 3144, 547, 4077, 31760, 1141, 789, 941, 14589, 539, 1524, 609, 3282, 267, 543, 1733, 1080, 684, 563, 6124, 9993, 1500, 519, 5601, 11672, 10936, 24873, 267, 741, 1378, 11249, 16082, 602, 1303, 9229, 519, 22070, 8513, 267, 25034, 3293, 22063, 609, 269, 1473, 550, 3293, 22063, 585, 1272, 1152, 568, 632, 1061, 1947, 1507, 4677, 13602, 563, 3383, 891, 1004, 616, 2731, 14586, 540, 2112, 563, 763, 1034, 11082, 538, 1272, 585, 25034, 3293, 22063, 547, 5279, 741, 1378, 454, 763, 13222, 540, 5126, 941, 1419, 29872, 1734, 267, 519, 8899, 12248, 787, 1705, 711, 10929, 519, 1482, 1184, 585, 1776, 8938, 610, 865, 1296, 269, 9098, 267, 723, 873, 3313, 519, 1455, 3693, 538, 782, 519, 2542, 563, 3891, 5156, 519, 9583, 19957, 1569, 29433, 2326, 547, 538, 524, 1127, 1901, 820, 543, 1996, 519, 4170, 585, 454, 5472, 540, 519, 1657, 269, 9098, 9715, 10437, 267, 789, 723, 1044, 1454, 811, 24835, 762, 540, 5885, 2933, 689, 29855, 883, 519, 13323, 540, 513, 1793, 822, 880, 267, 3220, 563, 763, 4744, 757, 26200, 15151, 711, 2312, 563, 10214, 1500, 909, 30367, 538, 20424, 807, 2229, 1788, 267, 22063, 585, 1272, 538, 524, 1127, 1901, 820, 1062, 25034, 3293, 22063, 609, 454, 5445, 849, 14931, 4638, 2623, 1369, 519, 1753, 267, 13492, 5443, 267, 610, 581, 8348, 547, 1451, 269, 7312, 674, 7037, 20157, 12579, 31838, 16840, 454, 303, 11823, 30880, 538, 519, 715, 12078, 11416, 9533, 269, 6468, 4607, 10156, 2474, 982, 2367, 693, 1762, 6502, 267, 519, 1985, 6640, 267, 711, 10336, 14422, 11461, 519, 2095, 540, 20903, 338, 269, 634, 957, 2838, 519, 1952, 2002, 618, 540, 513, 19636, 11578, 540, 25034, 999, 267, 3180, 5604, 267, 2523, 6236, 519, 4641, 602, 1034, 2146, 2818, 941, 711, 3226, 5432, 609, 519, 26884, 22063, 543, 1705, 711, 723, 2123, 18144, 547, 957, 593, 741, 15773, 563, 763, 1004, 945, 1185, 5747, 679, 8905, 941, 4440, 835, 10116, 547, 835, 3791, 540, 1346, 945, 1185, 2965, 4604, 539, 519, 6928, 563, 3383, 1705, 711, 9901, 609, 967, 5034, 4074, 585, 1272, 538, 524, 1127, 1901, 820, 543, 2731, 941, 2813, 454, 32701, 267, 543, 4213, 563, 23921, 24445, 3767, 2659, 6554, 454, 289, 3930, 14400, 7797, 23452, 2107, 853, 18036, 9315, 454, 293, 21209, 1656, 29641, 16473, 894, 19239, 3588, 21122, 531, 9844, 547, 9684, 1250, 2242, 267, 524, 1127, 1901, 820, 538, 1272, 585, 25034, 3293, 22063, 543, 538, 1931, 547, 1265, 811, 982, 538, 563, 5445, 6836, 3395, 10412, 543, 967, 15282, 543, 9870, 13184, 269, 4270, 1634, 538, 4789, 1354, 519, 17091, 540, 9098, 267, 1625, 11939, 2950, 849, 4397, 519, 2021, 547, 13789, 513, 1978, 3118, 267, 1981, 532, 1164, 22717, 543, 21569, 942, 563, 763, 1857, 1153, 267, 17246, 1228, 3450, 7819, 1272, 585, 519, 7178, 967, 625, 543, 4567, 607, 1134, 2630, 547, 2327, 513, 6071, 845, 531, 4020, 454, 2690, 1169, 4419, 656, 814, 513, 25511, 267, 2021, 267, 543, 786, 711, 979, 883, 1390, 1469, 827, 519, 4130, 1297, 540, 2043, 7142, 883, 25034, 675, 11731, 269, 3979, 13956, 656, 2516, 543, 519, 23543, 540, 8474, 593, 741, 2729, 563, 10111, 335, 10938, 729, 1336, 16944, 540, 544, 753, 331, 5922, 267, 799, 8507, 538, 1272, 1373, 5059, 593, 2872, 267, 27674, 14554, 610, 9718, 1218, 538, 5480, 18659, 269, 2659, 11422, 2366, 513, 7662, 602, 713, 7746, 1223, 711, 1174, 563, 309, 698, 629, 4637, 543, 21570, 1310, 1896, 3764, 547, 25034, 3293, 22063, 585, 538, 1272, 524, 1127, 1901, 820, 547, 5855, 827, 519, 6867, 577, 454, 11321, 1388, 2042, 941, 1419, 4547, 1354, 12543, 543, 1920, 1354, 1373, 4547, 547, 1492, 10470, 563, 29834, 1131, 2161, 602, 1010, 10726, 902, 941, 711, 2614, 585, 741, 10751, 267, 594, 9684, 1250, 3237, 267, 811, 14628, 982, 602, 540, 519, 27991, 1901, 820, 269, 634, 1966, 2482, 538, 1018, 17135, 3627, 12736, 6605, 5156, 1352, 840, 3737, 563, 6097, 547, 519, 18721, 267, 4570, 22888, 941, 1346, 3331, 496, 7474, 1185, 1044, 2204, 332, 730, 538, 4638, 9769, 543, 28263, 676, 4579, 267, 519, 27991, 1901, 820, 2916, 1131, 6961, 547, 581, 811, 5432, 547, 20338, 982, 547, 519, 2296, 563, 2304, 2920, 547, 11559, 519, 7383, 566, 540, 6519, 4419, 1218, 267, 519, 4579, 783, 2474, 540, 25034, 675, 941, 1134, 3989, 269, 634, 1034, 1455, 1797, 540, 4187, 729, 2324, 607, 3500, 607, 2009, 547, 2057, 8373, 563, 305, 4084, 8751, 24806, 609, 1010, 23222, 2583, 6658, 563, 15987, 2947, 4627, 9489, 829, 10139, 10152, 1223, 711, 15658, 803, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 1268, 781, 9221, 547, 948, 32694, 1973, 2429, 741, 1560, 269, 7427, 891, 3268, 547, 1685, 9221, 735, 11306, 7157, 1384, 272, 269, 918, 928, 601, 22290, 519, 1268, 563, 273, 269, 9255, 519, 24933, 540, 835, 1688, 538, 519, 4099, 540, 741, 9221, 630, 24992, 741, 562, 31454, 1916, 274, 269, 10925, 707, 824, 1688, 593, 1283, 540, 519, 1101, 1688, 543, 954, 6674, 707, 11263, 563, 275, 269, 5901, 707, 7916, 2786, 543, 2046, 1524, 2182, 267, 1210, 707, 1560, 2597, 267, 547, 7903, 519, 9221, 693, 2547, 1079, 6279, 2620, 563, 276, 269, 24793, 519, 2604, 543, 1450, 519, 9221, 547, 4473, 4625, 1354, 11319, 1524, 1586, 563, 277, 269, 19244, 713, 1184, 693, 513, 2557, 540, 827, 476, 1911, 2053, 829, 8792, 780, 8855, 267, 950, 4758, 9221, 735, 11306, 267, 621, 781, 1898, 547, 3251, 9350, 543, 5059, 269, 1411, 1522, 1745, 8401, 610, 18901, 267, 855, 3843, 707, 1655, 547, 2611, 7768, 786, 948, 2327, 602, 596, 1683, 2500, 6351, 780, 3721, 476, 274, 281, 1520, 2381, 3563, 1763, 26443, 22165, 26387, 692, 4910, 26443, 24967, 4125, 25738, 2011, 883, 519, 1268, 781, 9641, 547, 948, 11177, 5135, 2095, 269, 6969, 12394, 15063, 24967, 267, 1118, 2386, 547, 28550, 519, 1268, 781, 2212, 1394, 5594, 543, 12740, 741, 24060, 20733, 269, 3973, 267, 32521, 741, 9224, 9505, 543, 2285, 1079, 3500, 24967, 267, 1818, 2386, 602, 1142, 7362, 3123, 519, 1268, 781, 9221, 547, 4473, 780, 2005, 781, 2629, 547, 13236, 7444, 543, 7184, 1282, 713, 1900, 269, 6056, 540, 11423, 909, 513, 17891, 1107, 596, 1616, 547, 6445, 519, 1268, 781, 9641, 609, 1175, 2614, 2011, 547, 2014, 741, 9221, 547, 4228, 4628, 269, 2142, 6297, 711, 547, 936, 514, 4148, 622, 741, 9641, 267, 1498, 267, 607, 713, 1223, 2014, 2800, 780, 21607, 1154, 898, 2353, 8625, 692, 3086, 602, 596, 1174, 519, 1367, 3334, 540, 2596, 1272, 1489, 267, 621, 781, 942, 547, 2259, 8380, 3388, 1927, 269, 27814, 267, 596, 1131, 960, 998, 713, 9183, 7258, 513, 8036, 14357, 945, 666, 3391, 596, 998, 519, 1184, 543, 2709, 5955, 269, 1717, 267, 952, 602, 3884, 1405, 2009, 1318, 1631, 267, 4952, 3054, 25884, 606, 17499, 1268, 14084, 593, 519, 2666, 780, 10287, 891, 3268, 1384, 272, 269, 13979, 519, 1268, 15891, 13124, 267, 6998, 10978, 569, 952, 789, 616, 15502, 563, 273, 269, 24135, 741, 13105, 543, 21199, 873, 9900, 547, 1294, 952, 789, 4431, 563, 274, 269, 11910, 856, 585, 948, 610, 4051, 2576, 7404, 547, 3866, 476, 26605, 563, 275, 269, 19024, 3054, 2282, 519, 1268, 781, 5580, 1560, 543, 5965, 547, 5838, 9221, 735, 11306, 563, 276, 269, 12315, 476, 1789, 9221, 735, 11306, 693, 513, 11931, 11733, 563, 277, 269, 7046, 519, 1268, 781, 21572, 676, 21266, 1154, 741, 2212, 1394, 543, 17666, 741, 24060, 563, 278, 269, 18237, 577, 741, 9224, 6806, 543, 2285, 1079, 15063, 24967, 563, 279, 269, 15566, 20367, 1063, 5036, 540, 476, 1789, 9221, 735, 11306, 543, 1079, 15063, 24967, 2394, 2564, 4648, 12446, 780, 3528, 8026, 891, 2596, 1272, 1489, 1983, 5781, 267, 596, 3513, 1831, 811, 8746, 538, 707, 2702, 547, 4217, 1282, 18002, 269, 5457, 267, 9363, 9350, 543, 1739, 891, 3268, 5402, 666, 5963, 1118, 513, 3017, 538, 4543, 2576, 538, 991, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5445, 941, 4563, 609, 12457, 31126, 543, 4647, 1863, 1973, 327, 2863, 12457, 602, 729, 538, 873, 941, 513, 2370, 18632, 1287, 1250, 2681, 540, 6821, 267, 799, 5249, 1390, 269, 898, 729, 513, 1434, 2856, 547, 723, 513, 3486, 19633, 594, 1611, 19519, 568, 513, 3486, 19633, 267, 855, 568, 7508, 519, 3486, 8184, 267, 543, 519, 3486, 2011, 6050, 269, 1284, 849, 4831, 10880, 31376, 3774, 327, 871, 741, 5796, 547, 948, 1711, 519, 1655, 2319, 2009, 547, 9718, 519, 19067, 1985, 3923, 269, 8409, 15737, 547, 1489, 610, 6835, 689, 938, 3346, 1106, 4465, 1406, 979, 883, 930, 3109, 8559, 899, 596, 4076, 4810, 609, 1082, 7270, 269, 1284, 5000, 596, 547, 2119, 782, 540, 938, 28916, 543, 16098, 609, 2104, 11564, 547, 1265, 707, 12797, 2572, 269, 3509, 10120, 2296, 18627, 2404, 609, 519, 4332, 540, 4906, 1491, 519, 7097, 2832, 15318, 30085, 540, 513, 561, 1638, 17879, 267, 1519, 968, 299, 1638, 599, 267, 1250, 6010, 532, 267, 1250, 632, 516, 5067, 267, 1250, 2220, 7566, 892, 543, 949, 581, 8747, 540, 4207, 561, 1638, 28320, 269, 10738, 519, 18883, 1858, 568, 2653, 1569, 547, 519, 5757, 609, 2789, 10068, 533, 4536, 267, 1453, 779, 19209, 338, 267, 543, 513, 10977, 581, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21995, 5020, 8081, 10341, 257, 607, 851, 540, 834, 16300, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 3689, 22707, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 22718, 12409, 2598, 1584, 525, 998, 29986, 5811, 692, 21652, 8586, 2079, 666, 1683, 3407, 4030, 883, 519, 14789, 543, 18144, 540, 1346, 3238, 538, 13882, 936, 2027, 2069, 2533, 269, 1635, 6313, 13002, 5439, 689, 2043, 4448, 547, 519, 2013, 4330, 538, 519, 2546, 21626, 267, 649, 666, 2744, 2189, 5380, 593, 519, 3510, 269, 901, 15825, 786, 3391, 596, 998, 519, 1184, 540, 7421, 713, 15539, 1210, 13002, 2079, 2553, 780, 2162, 3487, 476, 272, 540, 476, 274, 281, 20283, 532, 29986, 27842, 692, 272, 269, 5136, 1555, 1603, 5439, 689, 782, 6105, 3238, 538, 519, 3656, 18659, 269, 1452, 1331, 519, 8274, 540, 4065, 267, 6719, 676, 3223, 2033, 1299, 2142, 2033, 267, 623, 5861, 5919, 519, 19994, 5069, 5742, 5131, 3427, 10588, 282, 519, 24651, 20229, 282, 543, 519, 3237, 267, 945, 616, 1373, 6719, 676, 31656, 11253, 14732, 570, 27462, 267, 623, 5861, 269, 1411, 949, 991, 547, 3406, 15597, 2139, 5638, 610, 3346, 4143, 3906, 2047, 547, 3489, 891, 6054, 780, 273, 269, 11814, 1585, 2010, 540, 2854, 2792, 269, 13751, 6054, 899, 4620, 1431, 267, 6114, 267, 5618, 902, 267, 543, 3664, 1419, 2270, 2789, 22782, 269, 3962, 15040, 2488, 5813, 883, 922, 17082, 781, 7209, 7592, 543, 3929, 1533, 1282, 19142, 269, 3958, 267, 1413, 585, 5022, 267, 1509, 657, 267, 15737, 267, 610, 824, 19359, 1063, 6105, 780, 274, 269, 10312, 593, 2487, 12591, 269, 4595, 1004, 1689, 2429, 741, 2729, 267, 811, 1699, 13002, 9356, 741, 1459, 14820, 543, 2623, 3270, 1732, 982, 4587, 1806, 269, 27814, 267, 2832, 585, 2326, 3812, 1472, 519, 1482, 1974, 607, 519, 2621, 5941, 538, 519, 2546, 1349, 780, 2162, 3487, 476, 273, 540, 476, 274, 281, 27400, 9978, 5811, 9828, 692, 272, 269, 8178, 4484, 1793, 656, 269, 589, 1318, 1189, 1793, 656, 5267, 2769, 4369, 543, 1914, 1464, 267, 1247, 513, 2451, 1189, 1793, 656, 6920, 26126, 543, 1582, 3146, 18910, 269, 772, 1440, 697, 1603, 10522, 3666, 543, 1843, 2032, 269, 8074, 952, 972, 616, 29927, 538, 1793, 1218, 2066, 1114, 5830, 267, 607, 789, 1522, 5815, 20849, 4664, 610, 8795, 2157, 540, 9525, 538, 519, 3390, 780, 273, 269, 21414, 4050, 2604, 269, 24581, 18116, 2303, 2178, 31710, 543, 1164, 1648, 2157, 267, 6466, 1769, 18953, 17538, 8417, 543, 27047, 842, 269, 1403, 835, 5428, 10039, 3648, 18219, 610, 14402, 2604, 3379, 547, 1866, 267, 2015, 2436, 713, 9356, 9758, 6612, 610, 17872, 2022, 1005, 2509, 519, 2339, 693, 1688, 780, 274, 269, 12763, 2230, 1063, 1913, 543, 3515, 269, 2637, 2730, 19437, 8761, 22371, 543, 7115, 267, 1247, 9395, 16133, 6786, 3007, 547, 1469, 543, 19870, 1143, 269, 14424, 14375, 6384, 1851, 5171, 1759, 593, 2262, 543, 1899, 9883, 1107, 2673, 4296, 8957, 13029, 1894, 267, 585, 3236, 780, 275, 269, 10576, 1367, 28031, 802, 543, 21272, 269, 5272, 5856, 15225, 3982, 7329, 3930, 2106, 322, 6652, 625, 267, 971, 607, 8220, 17787, 267, 16070, 5546, 267, 610, 796, 743, 2216, 10580, 269, 9796, 1880, 3007, 547, 15116, 885, 3838, 10838, 1978, 4589, 855, 15534, 538, 1866, 267, 20726, 532, 693, 1455, 10080, 267, 4978, 267, 610, 7506, 5935, 741, 7104, 18879, 593, 519, 15784, 780, 2162, 3487, 476, 274, 540, 476, 274, 281, 3955, 31147, 11778, 538, 12745, 692, 272, 269, 6333, 2686, 2188, 12018, 13002, 6163, 269, 1280, 1383, 267, 1977, 2296, 10529, 4043, 547, 3870, 17031, 3029, 1813, 547, 25777, 6044, 2038, 593, 267, 6466, 7489, 4654, 5000, 8325, 7285, 1317, 3197, 2874, 540, 2786, 3515, 543, 2182, 15174, 269, 25506, 1761, 12886, 16109, 689, 10409, 14908, 950, 5373, 8753, 780, 273, 269, 14484, 2390, 5626, 6286, 3297, 1808, 13002, 4162, 269, 16792, 1702, 540, 3113, 1108, 3741, 267, 1921, 4767, 2934, 609, 2009, 5817, 2790, 2829, 267, 8456, 267, 610, 15752, 269, 1280, 1383, 267, 513, 554, 10541, 1412, 344, 262, 1223, 20301, 20440, 267, 1247, 606, 27105, 12297, 1657, 519, 1412, 328, 262, 1522, 7866, 22111, 1145, 780, 274, 269, 15233, 707, 4681, 547, 1174, 519, 6105, 262, 5615, 543, 7158, 1732, 269, 2422, 707, 12496, 547, 8774, 1769, 593, 1379, 9620, 267, 6456, 989, 31789, 267, 610, 3765, 20664, 30740, 519, 24895, 269, 11086, 267, 11441, 547, 6536, 6568, 267, 14207, 267, 543, 6571, 998, 4514, 1620, 19658, 676, 13002, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 32101, 540, 519, 21398, 19181, 5508, 11581, 24102, 5508, 5990, 623, 5085, 295, 4456, 6167, 12778, 17676, 590, 29558, 5357, 667, 8780, 30278, 307, 585, 2689, 540, 513, 8990, 540, 513, 6217, 11464, 11341, 547, 519, 11865, 540, 3872, 2533, 547, 513, 2875, 609, 513, 9659, 454, 11390, 2033, 1299, 2142, 2033, 267, 623, 5861, 1421, 27192, 585, 21936, 518, 267, 5153, 7315, 773, 631, 269, 681, 4141, 321, 3089, 267, 10507, 336, 1421, 540, 8480, 454, 303, 600, 11253, 14732, 570, 27462, 267, 623, 5861, 1421, 27192, 585, 17013, 267, 31656, 11253, 14732, 570, 27462, 267, 10507, 336, 1421, 540, 8480, 454, 30821, 819, 518, 630, 1492, 8664, 264, 22587, 689, 519, 3375, 540, 606, 31717, 6217, 11464, 799, 1336, 602, 621, 8959, 547, 2709, 606, 3617, 3872, 1982, 547, 17013, 262, 630, 1492, 3237, 10807, 5067, 543, 10288, 621, 547, 32158, 9309, 519, 3237, 585, 741, 5067, 781, 24875, 3790, 693, 519, 26267, 10830, 3427, 630, 292, 14410, 10830, 264, 585, 519, 476, 1220, 280, 268, 1015, 1153, 1032, 269, 634, 9029, 1590, 581, 13455, 563, 4263, 519, 942, 540, 519, 31717, 6217, 267, 519, 2875, 729, 11504, 26267, 10830, 630, 23871, 269, 6032, 269, 476, 2641, 267, 476, 5379, 272, 267, 476, 4649, 273, 267, 476, 279, 1556, 268, 1321, 282, 5940, 1401, 338, 269, 476, 7906, 693, 533, 269, 476, 272, 282, 476, 4649, 693, 533, 269, 476, 272, 282, 9977, 1401, 269, 918, 693, 533, 269, 476, 273, 1040, 26267, 10830, 568, 606, 856, 6361, 268, 13750, 4357, 1153, 799, 814, 711, 1044, 9516, 676, 519, 30934, 11110, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 306, 23852, 29803, 1315, 29986, 5811, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 769, 3695, 519, 6237, 543, 2686, 3344, 540, 14913, 7489, 11951, 267, 4481, 2519, 593, 19176, 5986, 543, 922, 4276, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10743, 1224, 543, 27682, 519, 2241, 5220, 547, 1118, 873, 2953, 269, 10261, 547, 4001, 10203, 1913, 543, 5624, 286, 10261, 547, 4001, 602, 5220, 2253, 609, 26627, 27664, 5022, 543, 1439, 609, 18685, 286, 3807, 991, 547, 2259, 13002, 286, 9358, 17252, 3633, 24199, 256, 3733, 1053, 1589, 602, 4845, 11049, 942, 568, 519, 645, 12239, 29376, 292, 5508, 5990, 667, 17751, 256, 630, 8133, 267, 1256, 1732, 982, 1148, 543, 18027, 264, 2052, 581, 1031, 538, 2362, 9344, 607, 513, 4098, 540, 519, 1032, 2689, 267, 610, 585, 1970, 7400, 1053, 269, 0, 306, 697, 6478, 10794, 454, 268, 26541, 577, 5903, 476, 275, 538, 513, 18007, 910, 568, 606, 5140, 17402, 10418, 11314, 269, 898, 2488, 513, 14298, 18426, 1299, 13673, 297, 302, 312, 21764, 1259, 547, 2259, 519, 26541, 577, 8289, 2262, 8638, 563, 10497, 775, 540, 519, 10794, 912, 10743, 1747, 27669, 3124, 2299, 593, 519, 3014, 4604, 543, 1224, 519, 26541, 577, 8289, 1913, 269, 634, 16771, 568, 519, 1101, 1268, 547, 1205, 476, 275, 540, 741, 27669, 547, 1899, 909, 23276, 267, 19794, 610, 25241, 958, 563, 268, 7179, 713, 4604, 543, 22495, 622, 621, 563, 268, 2290, 5884, 630, 13433, 5884, 568, 519, 13737, 267, 18062, 568, 519, 12683, 994, 268, 2051, 1819, 27669, 585, 1142, 6345, 552, 3052, 269, 26761, 476, 272, 815, 2699, 26761, 476, 273, 815, 3039, 563, 1692, 547, 7591, 454, 272, 269, 24305, 519, 5884, 563, 273, 269, 3367, 513, 8289, 2262, 609, 519, 1482, 1297, 607, 519, 5884, 563, 274, 269, 9255, 835, 11954, 4831, 593, 519, 8289, 2262, 952, 1224, 7157, 563, 275, 269, 634, 16771, 568, 519, 835, 547, 723, 476, 275, 538, 513, 4737, 2901, 19794, 267, 23276, 610, 25241, 958, 563, 19522, 543, 670, 6493, 454, 1892, 901, 3014, 1568, 1655, 607, 513, 1079, 6345, 3014, 563, 1892, 2052, 581, 5129, 1510, 513, 5884, 910, 1453, 1175, 3442, 1913, 563, 1892, 8347, 4730, 1655, 540, 1614, 4249, 1107, 713, 2337, 547, 12927, 8289, 2262, 6863, 563, 1892, 16390, 666, 581, 9862, 547, 1205, 1453, 547, 11963, 519, 2262, 563, 1103, 7672, 538, 519, 8281, 454, 272, 4400, 7822, 8274, 910, 26541, 577, 5903, 476, 272, 454, 272, 8899, 7822, 8274, 910, 26541, 577, 5903, 476, 272, 454, 272, 1305, 540, 10794, 16390, 454, 272, 17948, 11711, 609, 519, 2051, 1819, 8274, 585, 19940, 4147, 16709, 543, 17564, 454, 2252, 1411, 6145, 519, 6733, 540, 901, 10794, 267, 595, 4047, 290, 298, 744, 7473, 31253, 631, 9680, 288, 645, 26685, 4041, 2336, 268, 634, 10189, 2882, 20231, 454, 3240, 1699, 4569, 543, 17402, 3756, 12813, 4785, 454, 22336, 4199, 594, 1711, 585, 519, 1985, 962, 292, 2752, 454, 2791, 1152, 723, 547, 946, 476, 278, 540, 519, 3756, 547, 1205, 707, 2724, 781, 4502, 32473, 994, 2414, 3367, 2859, 910, 14160, 27912, 28313, 0, 1607, 6777, 2006, 9848, 874, 568, 606, 5140, 2534, 585, 2542, 543, 1739, 8846, 267, 543, 3340, 1966, 6061, 267, 2792, 267, 543, 1239, 3919, 269, 898, 814, 519, 1053, 7801, 610, 8380, 1114, 3688, 593, 513, 6777, 2006, 1759, 593, 1344, 827, 2933, 269, 4841, 616, 547, 9096, 519, 6777, 2006, 9848, 874, 1210, 519, 5216, 6688, 7396, 2630, 563, 272, 264, 10361, 8720, 454, 274, 264, 631, 8636, 839, 610, 3794, 7174, 454, 275, 264, 15907, 519, 16176, 2006, 779, 3026, 1188, 454, 277, 264, 645, 3336, 610, 1744, 334, 767, 454, 4263, 519, 1439, 540, 519, 2534, 568, 513, 6192, 6777, 2006, 9848, 874, 269, 7335, 519, 6192, 9848, 874, 543, 16208, 519, 1344, 6719, 568, 513, 5578, 602, 3340, 4514, 3206, 676, 519, 2875, 269, 4841, 1590, 581, 2111, 547, 5659, 519, 1344, 4843, 538, 3308, 1106, 269, 589, 9848, 874, 971, 607, 713, 835, 568, 1360, 3617, 547, 946, 538, 519, 18938, 1239, 2359, 18843, 540, 2979, 269, 1323, 2626, 1883, 568, 3769, 563, 30747, 7124, 3610, 666, 3362, 3082, 713, 2534, 2094, 519, 5528, 1331, 5961, 563, 2710, 707, 1053, 2972, 3257, 9848, 874, 338, 286, 1358, 1522, 899, 891, 607, 1134, 912, 12988, 547, 3427, 31946, 874, 454, 307, 584, 4486, 31946, 874, 609, 5999, 454, 294, 1037, 32120, 4303, 31946, 874, 609, 5999, 454, 22025, 540, 7108, 31946, 874, 454, 289, 22324, 31946, 874, 585, 11354, 610, 14914, 454, 2791, 666, 6718, 3670, 9702, 270, 572, 1783, 531, 9848, 874, 338, 538, 513, 22753, 269, 1635, 9140, 519, 22753, 267, 621, 781, 519, 1482, 607, 9878, 585, 476, 275, 9848, 874, 338, 543, 8391, 1079, 17676, 269, 6744, 621, 856, 693, 912, 289, 1495, 548, 540, 31946, 874, 910, 20283, 532, 4578, 543, 11374, 19648, 0, 288, 5295, 1448, 18995, 513, 1297, 540, 2035, 602, 9305, 547, 5373, 269, 12989, 596, 786, 1265, 513, 1592, 540, 519, 1570, 4988, 538, 519, 6881, 563, 5025, 4135, 626, 2721, 547, 3561, 519, 1158, 610, 2671, 2093, 454, 6441, 2444, 14513, 13946, 12400, 454, 268, 2304, 1383, 540, 700, 2444, 14513, 12400, 543, 513, 2656, 1412, 6343, 616, 519, 2609, 540, 1148, 538, 713, 3239, 262, 2534, 563, 268, 7230, 25912, 339, 543, 1010, 11516, 16408, 12400, 563, 268, 2304, 1383, 540, 3816, 25912, 339, 781, 12400, 543, 513, 2656, 1412, 6343, 616, 519, 2609, 540, 1148, 538, 713, 3239, 262, 2534, 563, 5025, 2656, 1413, 693, 835, 540, 519, 4487, 540, 12400, 267, 28167, 20707, 30058, 563, 268, 589, 2656, 596, 32353, 3381, 585, 3214, 602, 5654, 883, 945, 28167, 20707, 30058, 568, 563, 268, 276, 1919, 547, 1589, 827, 950, 707, 5373, 609, 3515, 454, 268, 634, 2956, 540, 5373, 1354, 7206, 630, 8794, 11709, 717, 26710, 607, 606, 1383, 264, 0, 10673, 962, 6308, 577, 752, 1649, 962, 12317, 19085, 2806, 571, 7079, 601, 454, 3674, 320, 659, 1649, 28311, 610, 962, 6308, 577, 752, 1649, 962, 12317, 19085, 2806, 571, 7079, 601, 630, 16960, 278, 910, 476, 5611, 279, 264, 630, 3891, 11119, 912, 27783, 355, 403, 501, 403, 356, 13913, 495, 403, 509, 13913, 503, 403, 498, 25149, 403, 497, 403, 498, 13913, 494, 403, 495, 29645, 403, 495, 403, 510, 403, 494, 403, 506, 264, 729, 513, 6014, 2829, 2006, 267, 14544, 267, 6426, 454, 1260, 618, 1807, 267, 543, 1710, 534, 857, 518, 269, 1261, 729, 513, 1085, 542, 540, 519, 2806, 571, 7079, 601, 1920, 269, 769, 454, 28236, 1568, 646, 568, 5219, 547, 9003, 676, 1010, 2063, 2012, 267, 799, 568, 1585, 569, 454, 4944, 8215, 607, 2806, 571, 7079, 601, 267, 2806, 541, 3316, 601, 267, 543, 2806, 571, 3316, 601, 269, 3509, 22560, 543, 13669, 31053, 454, 338, 3273, 1513, 2221, 267, 3274, 3277, 547, 1864, 607, 834, 763, 2806, 541, 3316, 601, 8487, 3891, 729, 4535, 538, 28988, 2548, 267, 17577, 269, 1261, 5747, 538, 24131, 543, 729, 12617, 538, 22087, 7699, 454, 10113, 547, 15887, 6798, 28311, 3687, 345, 267, 15887, 6798, 540, 22087, 7699, 563, 763, 2806, 571, 7079, 601, 1920, 630, 10193, 2806, 541, 3316, 601, 543, 2806, 571, 3316, 601, 264, 568, 835, 540, 519, 9510, 454, 663, 1034, 13747, 6014, 30345, 1014, 3885, 282, 789, 10250, 741, 5169, 454, 5228, 519, 13400, 3751, 6424, 269, 16840, 540, 713, 1920, 5030, 693, 1530, 6807, 2676, 3602, 546, 342, 3881, 922, 9510, 11347, 267, 28311, 2806, 571, 7079, 601, 454, 288, 3630, 7079, 601, 729, 513, 20194, 540, 9478, 932, 2727, 267, 14558, 328, 540, 28988, 2548, 269, 4270, 2613, 539, 538, 454, 4599, 16535, 545, 3332, 543, 538, 519, 1565, 540, 1010, 942, 267, 646, 13991, 1010, 2038, 454, 344, 8986, 547, 519, 1353, 540, 6014, 6138, 269, 1879, 1152, 8938, 1296, 2025, 646, 454, 342, 4710, 593, 519, 3312, 1106, 540, 519, 2067, 2609, 267, 593, 3909, 454, 638, 5465, 267, 593, 28897, 267, 3092, 269, 3571, 2797, 5759, 849, 13631, 454, 3430, 1549, 1247, 646, 729, 1869, 1762, 269, 1261, 9411, 519, 3028, 540, 3751, 2279, 517, 810, 454, 309, 540, 17577, 607, 14951, 337, 267, 543, 4166, 4465, 519, 6015, 540, 1010, 4487, 563, 8253, 5976, 9227, 1010, 1164, 2990, 543, 519, 1390, 5763, 646, 1185, 15110, 454, 5228, 1010, 4651, 267, 1010, 2648, 585, 1010, 3413, 21719, 1786, 628, 1066, 729, 796, 629, 730, 269, 1879, 454, 6635, 7588, 320, 267, 538, 25448, 267, 729, 3144, 676, 519, 7720, 832, 267, 543, 519, 6014, 3061, 1161, 941, 454, 338, 1245, 607, 10437, 267, 646, 8329, 7361, 547, 519, 7482, 2877, 547, 812, 636, 527, 454, 29442, 267, 543, 13948, 11231, 585, 10070, 2429, 17577, 269, 1261, 849, 454, 342, 4710, 547, 1010, 4121, 543, 14547, 3659, 8614, 327, 1408, 267, 540, 623, 13453, 267, 593, 15773, 540, 519, 454, 5475, 519, 2669, 540, 2279, 517, 810, 646, 729, 8078, 539, 547, 882, 22055, 880, 1010, 5604, 267, 2348, 454, 2041, 523, 15034, 676, 3751, 3627, 4083, 540, 598, 16622, 766, 609, 519, 16099, 540, 4858, 1146, 5633, 267, 945, 454, 17495, 1044, 13401, 593, 519, 5279, 540, 24242, 269, 2806, 571, 7079, 601, 267, 19230, 538, 942, 2676, 338, 8491, 5128, 676, 513, 554, 7360, 8184, 547, 10011, 850, 630, 16825, 274, 1040, 3571, 1804, 19539, 729, 454, 20813, 4593, 730, 676, 10424, 31885, 563, 4263, 24729, 539, 334, 267, 1010, 1007, 1753, 267, 646, 13026, 5128, 693, 1101, 609, 19978, 454, 13231, 625, 267, 543, 538, 519, 1576, 540, 3670, 3275, 3812, 606, 3573, 16555, 454, 517, 519, 2835, 540, 26056, 267, 7225, 2471, 267, 543, 15656, 269, 1809, 16172, 26063, 646, 454, 550, 1229, 519, 3028, 540, 519, 2777, 540, 10011, 850, 269, 8625, 609, 1010, 3659, 267, 519, 454, 8882, 1663, 1113, 5213, 14062, 18947, 267, 540, 21540, 990, 807, 267, 646, 9333, 809, 547, 3484, 519, 454, 516, 1597, 1132, 543, 547, 3761, 14074, 585, 519, 10424, 7952, 267, 11731, 602, 646, 454, 8364, 3072, 856, 547, 519, 3003, 9547, 540, 10348, 1772, 629, 7578, 563, 7628, 519, 631, 3233, 880, 2112, 2806, 571, 7079, 601, 4359, 9645, 18304, 540, 2724, 547, 454, 1492, 2229, 269, 1879, 519, 536, 4314, 618, 540, 519, 7642, 689, 8050, 729, 10288, 454, 5976, 519, 1325, 5069, 3630, 31885, 267, 646, 2451, 4986, 3768, 821, 547, 16578, 519, 4622, 547, 454, 516, 341, 5803, 519, 1196, 1112, 269, 769, 642, 664, 1705, 646, 2709, 1864, 476, 1789, 267, 1822, 546, 1075, 1846, 18121, 6924, 267, 6110, 267, 22194, 454, 7407, 1040, 2060, 1010, 1786, 628, 1066, 538, 5132, 646, 2451, 8050, 543, 4682, 547, 10878, 1255, 2676, 3602, 267, 4166, 1310, 267, 646, 9411, 519, 3028, 540, 519, 4622, 269, 1280, 513, 2110, 942, 646, 454, 331, 1882, 538, 4708, 3768, 626, 32328, 282, 855, 950, 519, 2749, 729, 3144, 676, 519, 3943, 2676, 321, 699, 1111, 540, 782, 1010, 22590, 267, 646, 4553, 519, 1762, 4622, 267, 30544, 267, 538, 454, 14983, 276, 267, 547, 11619, 2088, 282, 1287, 4682, 547, 4856, 14673, 282, 543, 538, 476, 14983, 277, 12306, 538, 3933, 641, 10008, 267, 543, 454, 18431, 569, 630, 5611, 274, 264, 538, 24131, 267, 1141, 1010, 2533, 941, 6964, 538, 27410, 513, 454, 1260, 14293, 14097, 1063, 17577, 543, 519, 10469, 564, 1014, 14081, 563, 15703, 2053, 1282, 519, 4571, 3562, 2000, 622, 476, 9610, 271, 338, 267, 646, 13948, 6170, 1804, 454, 26920, 338, 540, 1010, 2123, 6830, 17480, 547, 536, 11171, 519, 5053, 3933, 8944, 547, 11863, 454, 1492, 7642, 547, 2611, 538, 8050, 269, 898, 568, 10645, 602, 2806, 571, 3316, 601, 8569, 6035, 454, 29442, 476, 7785, 267, 1822, 31750, 585, 519, 2847, 6327, 540, 519, 1196, 1112, 269, 898, 568, 1767, 849, 602, 454, 293, 518, 27849, 11688, 18469, 267, 855, 729, 15286, 689, 16561, 519, 2709, 676, 454, 307, 528, 638, 655, 3385, 267, 519, 6264, 22679, 529, 3218, 267, 945, 546, 14414, 883, 519, 10424, 4527, 543, 2676, 628, 8089, 513, 16961, 32267, 1524, 1354, 519, 4622, 543, 15596, 267, 4280, 2436, 267, 899, 454, 297, 644, 553, 267, 789, 1131, 20729, 741, 7083, 585, 2724, 269, 769, 519, 1439, 267, 646, 7307, 1152, 454, 1729, 1205, 519, 4266, 585, 519, 1163, 13955, 547, 581, 6905, 676, 1079, 2395, 563, 5475, 1010, 22576, 689, 8050, 267, 646, 6410, 1101, 547, 2637, 10394, 267, 1287, 547, 4856, 14673, 2676, 663, 6368, 547, 24131, 269, 3571, 13284, 1127, 25356, 267, 646, 5747, 267, 538, 1018, 646, 5128, 454, 9188, 8282, 607, 834, 1410, 850, 2580, 538, 476, 5611, 279, 267, 538, 24131, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 825, 1477, 2018, 1948, 2745, 263, 29734, 3418, 2018, 1948, 2745, 27203, 3418, 2018, 1247, 27203, 256, 284, 6352, 263, 1467, 264, 8029, 3546, 952, 263, 1467, 14728, 316, 256, 6889, 834, 8029, 7386, 10145, 284, 29734, 266, 1467, 14728, 15947, 3546, 795, 23785, 272, 1477, 2018, 1948, 2745, 263, 29734, 3418, 2018, 782, 343, 284, 271, 1477, 2018, 1247, 263, 11034, 272, 266, 273, 256, 284, 754, 272, 268, 273, 8029, 3546, 952, 263, 1467, 314, 11034, 272, 316, 2525, 262, 257, 262, 8029, 7386, 782, 343, 284, 718, 343, 266, 272, 1477, 3546, 1376, 272, 284, 11034, 272, 266, 272, 1477, 2018, 1948, 2745, 263, 718, 343, 268, 272, 3418, 4449, 17264, 1477, 2018, 4305, 284, 271, 5897, 5897, 2018, 1376, 15871, 272, 1477, 2018, 1439, 284, 6352, 263, 29734, 3418, 2018, 1247, 263, 11034, 283, 6352, 263, 29734, 264, 8029, 3546, 1376, 23785, 272, 1477, 3546, 952, 10145, 314, 11034, 316, 2525, 262, 257, 262, 6769, 7386, 2736, 1477, 14030, 1477, 2018, 1948, 2745, 263, 11034, 3418, 2018, 1247, 263, 754, 256, 284, 271, 8029, 3546, 1439, 268, 284, 272, 1477, 3546, 952, 10145, 314, 754, 316, 2525, 262, 257, 262, 6769, 7386, 2736, 1477, 2018, 1948, 2745, 263, 754, 3418, 4449, 1363, 1477, 2018, 10145, 2908, 284, 29734, 314, 11034, 266, 272, 281, 754, 4940, 516, 2897, 3488, 257, 12887, 11138, 257, 10807, 567, 5897, 2018, 1948, 2745, 263, 29734, 2908, 3418, 2018, 535, 325, 22182, 263, 29734, 11468, 11034, 266, 272, 27994, 29734, 2908, 266, 29734, 314, 754, 281, 316, 10142, 825, 3116, 6769, 1038, 535, 325, 22182, 263, 1467, 10142, 825, 695, 889, 23785, 272, 5897, 325, 25379, 14052, 742, 25379, 14052, 258, 1366, 268, 280, 269, 4946, 23049, 547, 17787, 799, 21645, 723, 10900, 268, 1477, 325, 284, 1930, 2891, 16059, 17902, 14744, 1467, 25292, 284, 18118, 13911, 293, 15635, 14052, 325, 25379, 31476, 325, 284, 13449, 3488, 16059, 17902, 20298, 742, 284, 13449, 3488, 321, 889, 1076, 17902, 12887, 342, 20298, 3333, 889, 284, 271, 1477, 742, 25419, 284, 271, 1477, 321, 4148, 698, 284, 271, 1477, 1721, 1899, 538, 535, 6769, 825, 952, 1899, 25292, 314, 3333, 889, 316, 2525, 276, 610, 1899, 25292, 314, 3333, 889, 316, 2525, 277, 610, 1899, 25292, 314, 3333, 889, 316, 2525, 278, 610, 1899, 25292, 314, 3333, 889, 316, 2525, 279, 610, 1899, 25292, 314, 3333, 889, 316, 2525, 280, 6769, 1038, 1948, 2745, 3488, 6062, 20298, 1038, 952, 535, 4148, 698, 2525, 272, 6769, 2018, 535, 325, 22182, 3488, 3189, 333, 262, 266, 1467, 3418, 2018, 536, 4148, 698, 23785, 272, 1477, 1038, 8640, 535, 4148, 698, 2525, 271, 6769, 2018, 535, 325, 22182, 263, 1467, 3418, 1038, 535, 4148, 698, 284, 272, 5897, 825, 8640, 1412, 346, 262, 538, 1899, 6769, 1038, 952, 535, 4148, 698, 2525, 272, 6769, 2018, 535, 4148, 698, 284, 271, 1477, 1038, 535, 325, 22182, 263, 1467, 10142, 825, 3116, 6769, 1038, 952, 535, 4148, 698, 2525, 272, 6769, 2018, 535, 325, 22182, 3488, 3189, 333, 262, 266, 1467, 22065, 4153, 333, 20298, 2018, 585, 1775, 538, 2039, 263, 271, 14720, 4148, 698, 8029, 3546, 535, 325, 22182, 3488, 4153, 333, 20298, 2018, 535, 4148, 698, 284, 271, 1477, 2018, 536, 4148, 698, 284, 271, 1477, 1038, 8640, 535, 4148, 698, 2525, 271, 6769, 2018, 535, 325, 22182, 263, 1467, 10142, 825, 695, 889, 23785, 272, 5897, 325, 25379, 14052, 742, 25379, 14052, 258, 24801, 268, 5897, 5897, 5897, 5897, 5897, 5897, 24653, 3698, 15273, 291, 5416, 267, 327, 19885, 267, 19049, 8029, 825, 1820, 5416, 267, 327, 19885, 267, 19049, 3418, 825, 952, 554, 2525, 333, 6769, 1038, 585, 512, 538, 2039, 630, 271, 267, 842, 5416, 314, 327, 8079, 8029, 2018, 952, 24303, 2525, 262, 328, 262, 6769, 3546, 952, 512, 2525, 842, 5416, 314, 327, 8079, 268, 272, 6769, 7386, 1820, 263, 271, 3418, 7386, 535, 325, 22182, 3488, 271, 20298, 3546, 3116, 6769, 7386, 1820, 263, 271, 267, 3418, 7386, 535, 325, 22182, 3488, 271, 10086, 3418, 2018, 8640, 24303, 2525, 262, 325, 262, 6769, 3546, 952, 512, 2525, 842, 5416, 314, 327, 8079, 268, 272, 6769, 7386, 535, 325, 22182, 3488, 271, 269, 271, 20298, 3546, 3116, 6769, 7386, 535, 325, 22182, 3488, 271, 269, 271, 10086, 3418, 2018, 8640, 24303, 2525, 262, 577, 262, 6769, 3546, 952, 512, 2525, 842, 5416, 314, 327, 8079, 268, 272, 6769, 7386, 535, 325, 22182, 3488, 3269, 20298, 3546, 3116, 6769, 7386, 535, 325, 22182, 3488, 257, 2580, 20298, 2018, 8640, 24303, 2525, 262, 2692, 262, 6769, 3546, 952, 512, 2525, 842, 5416, 314, 327, 8079, 268, 272, 6769, 7386, 535, 325, 22182, 3488, 16178, 20298, 3546, 3116, 6769, 7386, 535, 325, 22182, 3488, 16178, 10086, 10142, 825, 3116, 281, 24541, 1038, 585, 1775, 538, 2039, 263, 271, 267, 842, 5416, 314, 327, 8079, 8029, 2018, 535, 325, 22182, 3488, 9131, 3418, 2018, 1820, 3488, 9131, 3418, 2018, 15273, 291, 5416, 267, 327, 266, 272, 19885, 267, 19049, 3418, 2018, 952, 1775, 2525, 842, 5416, 314, 327, 8079, 268, 272, 6769, 3546, 535, 325, 22182, 3488, 316, 20298, 3546, 1820, 3488, 316, 20298, 2018, 3116, 6769, 3546, 535, 325, 22182, 3488, 3910, 20298, 3546, 1820, 3488, 3910, 20298, 24653, 3698, 570, 343, 318, 306, 17532, 318, 4467, 618, 263, 1467, 8029, 825, 1899, 815, 556, 16553, 3488, 2260, 3299, 1412, 258, 3299, 1899, 3418, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 263, 1467, 10142, 258, 3698, 570, 343, 318, 25648, 318, 4467, 618, 263, 11034, 1467, 267, 754, 1467, 8029, 825, 1948, 11034, 1467, 815, 556, 16553, 3488, 270, 315, 265, 3299, 834, 18257, 2580, 1376, 1467, 3418, 825, 1948, 754, 1467, 815, 556, 16553, 28361, 265, 270, 3299, 834, 18257, 2580, 1439, 1467, 3418, 825, 1948, 2745, 263, 11034, 1467, 267, 754, 1467, 3418, 3698, 570, 343, 318, 25648, 318, 4467, 618, 263, 11034, 1467, 8029, 825, 1376, 1467, 815, 556, 16553, 3488, 270, 315, 265, 3299, 834, 18257, 2580, 1376, 1467, 3418, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 1477, 825, 535, 325, 22182, 263, 11034, 1467, 3418, 24541, 3698, 570, 343, 318, 2252, 263, 1467, 8029, 825, 1899, 14352, 1467, 266, 9899, 14744, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 263, 1467, 10142, 3698, 570, 343, 318, 14976, 572, 263, 1467, 8029, 825, 1899, 14352, 1467, 266, 9899, 14744, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 263, 1467, 10142, 3698, 570, 343, 318, 14976, 572, 318, 2252, 263, 1467, 8029, 825, 1899, 284, 556, 16553, 3488, 12828, 952, 262, 2437, 19197, 2580, 1467, 3418, 825, 1899, 14352, 1467, 266, 9899, 14744, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 263, 1467, 10142, 3698, 570, 343, 318, 2690, 263, 1467, 8029, 825, 1948, 1467, 6889, 1721, 263, 611, 788, 340, 284, 271, 282, 611, 788, 340, 285, 1911, 282, 611, 788, 340, 284, 611, 788, 340, 266, 1015, 17983, 1477, 825, 513, 284, 1467, 314, 275, 18737, 272, 15947, 825, 536, 30381, 21858, 2891, 282, 14744, 825, 524, 284, 321, 314, 271, 4940, 20889, 2891, 6889, 3418, 825, 703, 658, 7407, 284, 322, 314, 272, 15947, 825, 3803, 7407, 15871, 272, 1477, 825, 27261, 19056, 284, 272, 5897, 825, 952, 2891, 10030, 257, 538, 536, 314, 273, 316, 8029, 1038, 27261, 815, 834, 272, 29177, 1038, 27261, 19056, 815, 476, 272, 1477, 1363, 1477, 825, 8640, 2891, 734, 257, 538, 536, 314, 273, 316, 8029, 1038, 27261, 815, 29038, 272, 29177, 1038, 27261, 19056, 815, 476, 272, 5897, 825, 8640, 2891, 10030, 257, 711, 538, 536, 314, 273, 316, 543, 834, 266, 257, 538, 536, 314, 273, 316, 8029, 1038, 27261, 815, 834, 272, 29177, 1038, 27261, 19056, 815, 536, 314, 273, 4940, 20889, 2891, 266, 8442, 314, 272, 316, 5897, 825, 8640, 2891, 734, 257, 711, 538, 536, 314, 273, 316, 543, 29038, 257, 538, 536, 314, 273, 316, 8029, 1038, 27261, 815, 29038, 272, 29177, 1363, 1477, 1038, 27261, 19056, 815, 536, 314, 273, 4940, 20889, 2891, 268, 8442, 314, 272, 15947, 1363, 1477, 825, 952, 834, 283, 6889, 538, 536, 314, 272, 316, 476, 610, 834, 285, 6889, 538, 536, 314, 272, 316, 6769, 1038, 3803, 7407, 284, 321, 314, 272, 4940, 20889, 2891, 6889, 25011, 272, 316, 22065, 266, 272, 262, 1477, 1363, 5897, 825, 8640, 834, 283, 257, 538, 536, 314, 272, 316, 6769, 1038, 3803, 7407, 284, 321, 314, 272, 4940, 20889, 2891, 283, 8442, 314, 272, 316, 21506, 1363, 5897, 825, 8640, 834, 285, 257, 538, 536, 314, 272, 316, 6769, 1038, 3803, 7407, 284, 321, 314, 272, 4940, 20889, 2891, 285, 8442, 314, 272, 316, 21506, 1363, 5897, 825, 8640, 476, 834, 256, 6889, 538, 536, 314, 272, 316, 543, 27261, 2525, 257, 272, 257, 6769, 1038, 3803, 7407, 284, 321, 314, 272, 4940, 20889, 2891, 6889, 25011, 272, 15947, 1363, 5897, 825, 8640, 476, 834, 256, 6889, 538, 536, 314, 272, 316, 543, 27261, 2525, 27324, 272, 257, 6769, 1038, 3803, 7407, 284, 321, 314, 272, 4940, 20889, 2891, 6889, 25011, 272, 316, 21506, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 6600, 262, 1721, 2715, 321, 314, 271, 4940, 20889, 2891, 6889, 25011, 271, 316, 348, 538, 2039, 20719, 842, 658, 7407, 9574, 346, 325, 1400, 7407, 9574, 346, 842, 263, 27463, 618, 12684, 842, 263, 27463, 618, 19056, 14587, 2567, 20298, 5897, 3698, 570, 343, 318, 4407, 263, 1467, 8029, 825, 1899, 14352, 1467, 266, 9899, 14744, 825, 585, 1535, 323, 538, 2039, 263, 271, 25722, 629, 18045, 8029, 1038, 535, 325, 22182, 3488, 825, 1412, 3418, 825, 535, 325, 22182, 263, 1467, 10142, 3698, 570, 343, 318, 31262, 263, 1467, 8029, 825, 1948, 1467, 6889, 842, 1292, 3890, 29177, 825, 1948, 2745, 263, 1467, 3418, 825, 1979, 284, 1467, 21858, 2891, 2891, 25011, 272, 6012, 18737, 272, 15947, 825, 1948, 2745, 6357, 328, 3418, 825, 546, 284, 1467, 21858, 2891, 2891, 25011, 271, 4940, 20889, 3890, 314, 272, 15947, 825, 952, 834, 2437, 538, 1899, 6769, 1038, 1979, 284, 1467, 21858, 2891, 2891, 25011, 272, 6012, 18737, 272, 15947, 1038, 546, 284, 1467, 21858, 2891, 2891, 25011, 271, 4940, 20889, 3890, 314, 272, 316, 5897, 1038, 513, 284, 6798, 21858, 2891, 2437, 3418, 1038, 1820, 6357, 328, 28504, 28083, 10142, 1038, 524, 17342, 15947, 1038, 585, 1775, 538, 513, 6769, 2018, 552, 284, 328, 21858, 3890, 314, 272, 15947, 19930, 1477, 2018, 524, 6910, 16216, 3418, 2018, 524, 6910, 2891, 2437, 10142, 1038, 524, 21014, 31476, 1038, 535, 325, 22182, 2891, 3698, 834, 266, 323, 266, 257, 2891, 3418, 1038, 585, 1775, 538, 524, 6769, 2018, 535, 325, 22182, 9217, 3418, 1038, 535, 325, 22182, 2891, 2567, 257, 10142, 825, 8640, 1979, 2525, 3269, 6769, 1038, 1979, 284, 1467, 21858, 2891, 2891, 25011, 272, 6012, 18737, 272, 15947, 1038, 546, 284, 1467, 21858, 2891, 2891, 25011, 271, 4940, 20889, 3890, 314, 272, 15947, 1363, 1477, 1038, 535, 325, 22182, 2891, 3698, 834, 266, 323, 266, 257, 263, 2567, 14744, 672, 5897, 825, 3116, 6769, 1038, 1948, 2745, 2891, 327, 13839, 14744, 1038, 1948, 2745, 6357, 328, 21858, 3890, 3418, 1038, 535, 325, 22182, 2891, 3698, 834, 266, 323, 266, 257, 2891, 266, 6798, 21858, 2891, 834, 25011, 272, 27994, 257, 2567, 257, 10142, 3698, 570, 343, 318, 24868, 1963, 263, 1467, 8029, 825, 1948, 1467, 815, 834, 10420, 1003, 272, 267, 11133, 273, 28083, 314, 6507, 278, 3910, 3333, 889, 5069, 577, 583, 12011, 267, 3333, 889, 5069, 344, 345, 29177, 825, 1899, 284, 1467, 11468, 268, 272, 15947, 825, 1535, 815, 1899, 21858, 2891, 834, 3418, 825, 23692, 284, 3269, 1477, 825, 952, 3287, 314, 271, 316, 2525, 257, 338, 11220, 257, 610, 1535, 314, 271, 316, 2525, 257, 12584, 11220, 257, 8029, 1038, 952, 3287, 314, 272, 316, 2652, 834, 842, 257, 610, 1535, 314, 272, 316, 2652, 834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5459, 2580, 834, 777, 337, 257, 2567, 476, 274, 2676, 1038, 9497, 16673, 257, 2567, 476, 275, 2676, 1038, 9497, 329, 684, 257, 2567, 476, 276, 2676, 1038, 9497, 329, 592, 257, 2567, 476, 277, 2676, 1038, 9497, 13774, 257, 2567, 476, 278, 2676, 1038, 9497, 572, 335, 257, 2567, 476, 279, 2676, 1038, 9497, 24934, 257, 2567, 476, 280, 2676, 1038, 9497, 2617, 257, 2567, 476, 1015, 2676, 1038, 9497, 20657, 257, 2567, 476, 1556, 2676, 825, 7684, 454, 825, 2132, 1985, 263, 5503, 585, 1974, 267, 942, 538, 2053, 29096, 3890, 952, 942, 15058, 14729, 792, 538, 1974, 9239, 3698, 14377, 4671, 1307, 7051, 263, 5503, 15058, 14729, 792, 2187, 825, 5727, 11693, 513, 942, 540, 1032, 5057, 267, 14377, 621, 547, 519, 9460, 6697, 454, 825, 2053, 7051, 563, 825, 8173, 825, 2053, 322, 2297, 815, 13634, 1038, 9497, 2335, 257, 2567, 834, 20204, 569, 20350, 1038, 9497, 323, 329, 325, 2580, 834, 332, 600, 2580, 834, 329, 10937, 2580, 834, 5459, 257, 2567, 834, 572, 1783, 531, 20350, 1038, 27210, 2018, 834, 13568, 20350, 2018, 834, 10623, 321, 20350, 2018, 834, 3405, 20350, 2018, 834, 777, 337, 20350, 2018, 834, 16673, 20350, 2018, 834, 329, 684, 20350, 2018, 834, 329, 592, 20350, 2018, 834, 13774, 20350, 2018, 834, 572, 335, 20350, 2018, 834, 24934, 20350, 2018, 834, 2617, 20350, 2018, 834, 20657, 20350, 1038, 476, 2567, 834, 24629, 569, 20350, 825, 7684, 454, 825, 2132, 1985, 18692, 1038, 2053, 7051, 585, 1974, 267, 2053, 7051, 538, 2053, 322, 2297, 29096, 3890, 952, 942, 15058, 14729, 792, 538, 1974, 454, 825, 476, 9239, 10520, 17218, 4671, 32294, 815, 14377, 5332, 1868, 18692, 825, 2715, 257, 328, 770, 323, 22563, 9899, 834, 20598, 318, 22563, 2747, 2580, 834, 328, 877, 534, 9899, 834, 11743, 257, 8679, 994, 18851, 11693, 513, 13796, 5057, 267, 14377, 621, 547, 519, 9460, 6697, 20701, 454, 10520, 17218, 318, 4944, 7652, 815, 14377, 5332, 1868, 20719, 257, 338, 271, 335, 9899, 834, 2381, 2580, 834, 338, 1911, 335, 9899, 834, 10946, 2580, 834, 338, 11743, 9899, 834, 11743, 257, 348, 994, 18851, 11693, 513, 8901, 5057, 267, 14377, 621, 547, 519, 9460, 6697, 20701, 454, 10520, 17218, 30648, 1417, 850, 815, 14377, 5332, 1868, 20719, 257, 324, 1839, 335, 9899, 476, 1839, 267, 834, 324, 4037, 335, 9899, 476, 4037, 267, 834, 7290, 9899, 476, 1911, 348, 994, 18851, 11693, 513, 30878, 5057, 267, 14377, 621, 547, 519, 9460, 6697, 20701, 454, 3698, 14377, 318, 655, 2153, 263, 704, 1417, 850, 267, 4756, 2187, 825, 5727, 11693, 12998, 543, 4756, 3334, 267, 14377, 873, 883, 519, 9460, 454, 825, 6697, 12998, 563, 825, 8173, 825, 5434, 815, 13634, 1038, 9497, 31184, 2580, 834, 2181, 322, 2580, 834, 323, 326, 4962, 2580, 834, 10139, 2580, 834, 323, 331, 1240, 257, 2567, 834, 7290, 5566, 267, 21683, 335, 5952, 20350, 1038, 9497, 333, 742, 323, 257, 2567, 834, 7290, 5566, 267, 678, 31983, 5952, 20350, 1038, 9497, 7290, 257, 2567, 834, 2580, 476, 1948, 3140, 814, 1100, 12998, 9183, 454, 825, 7684, 692, 825, 952, 30878, 2652, 834, 7290, 13426, 1038, 12998, 815, 30878, 454, 825, 3116, 912, 1038, 12998, 815, 4756, 692, 825, 2132, 1985, 263, 2675, 523, 9222, 585, 15254, 267, 9183, 538, 5434, 29096, 3890, 952, 12998, 538, 15254, 9239, 3698, 14377, 5091, 622, 263, 704, 1417, 850, 267, 4266, 318, 9792, 2187, 825, 5727, 11693, 30878, 543, 4266, 2039, 3334, 267, 14377, 873, 883, 519, 9460, 454, 825, 6697, 7389, 563, 825, 8173, 825, 7389, 815, 13634, 1038, 834, 7290, 9899, 22373, 3422, 6200, 4905, 268, 1960, 23713, 4029, 2580, 834, 3192, 6200, 4905, 268, 1220, 23713, 4029, 257, 16689, 1038, 834, 1708, 271, 9899, 22373, 1001, 9826, 4905, 268, 10711, 280, 1321, 4029, 2580, 834, 1001, 6200, 4905, 268, 14225, 9826, 4905, 2580, 834, 1001, 9826, 4905, 268, 10711, 280, 1321, 1789, 257, 16689, 1038, 834, 13078, 271, 9899, 22373, 14225, 9826, 4905, 268, 18684, 280, 1321, 4029, 2580, 834, 14225, 6200, 4905, 268, 21709, 9826, 4905, 2580, 834, 14225, 9826, 4905, 268, 18684, 280, 1321, 1789, 257, 16689, 1038, 834, 21172, 271, 9899, 22373, 21709, 9826, 4905, 268, 20385, 280, 1321, 4029, 2580, 834, 21709, 6200, 4905, 268, 13975, 9826, 4905, 2580, 834, 21709, 9826, 4905, 268, 20385, 280, 1321, 1789, 257, 16689, 825, 7684, 692, 825, 952, 30878, 2652, 834, 7290, 13426, 1038, 1974, 815, 30878, 454, 825, 3116, 912, 1038, 1974, 815, 4266, 318, 9792, 692, 825, 2132, 7389, 314, 704, 1675, 6540, 454, 3698, 14377, 318, 16911, 18692, 825, 4756, 2676, 825, 942, 15058, 14729, 792, 2676, 825, 13796, 2676, 825, 8901, 2676, 825, 30878, 2676, 825, 1858, 2676, 825, 4266, 318, 9792, 2676, 825, 26254, 2676, 825, 555, 1042, 1091, 2676, 2187, 825, 5727, 11693, 513, 1305, 540, 7440, 2132, 513, 8675, 5627, 741, 9460, 454, 825, 13413, 454, 825, 8173, 825, 2132, 13634, 1038, 834, 19702, 762, 9899, 14377, 318, 19702, 762, 17635, 926, 762, 13211, 1038, 834, 5503, 9899, 14377, 22710, 263, 5503, 15058, 14729, 792, 13211, 1038, 834, 9392, 7051, 9899, 14377, 4671, 1307, 7051, 263, 5503, 15058, 14729, 792, 13211, 1038, 834, 3250, 8548, 1385, 9899, 14377, 4671, 32294, 6025, 32294, 13211, 1038, 834, 4944, 7652, 9899, 14377, 318, 4944, 7652, 4433, 6312, 658, 13211, 1038, 834, 704, 1417, 850, 9899, 14377, 30648, 1417, 850, 263, 704, 1417, 850, 13211, 1038, 834, 655, 2153, 9899, 14377, 318, 655, 2153, 263, 704, 1417, 850, 267, 4756, 13211, 1038, 834, 19327, 9899, 1858, 14277, 1492, 318, 613, 558, 257, 16689, 1038, 834, 30098, 9899, 14377, 5091, 622, 263, 704, 1417, 850, 267, 4266, 318, 9792, 13211, 1038, 834, 1619, 18037, 12173, 9899, 26254, 2676, 1038, 834, 628, 1042, 1091, 9899, 555, 1042, 1091, 2676, 825, 7684, 7531, 3698, 1205, 318, 19702, 1963, 4433, 21983, 267, 4632, 267, 26254, 267, 4266, 318, 9792, 267, 1858, 267, 555, 1042, 1091, 2187, 825, 5727, 11693, 513, 4756, 2012, 2132, 519, 1871, 676, 13214, 532, 519, 9460, 1394, 754, 692, 825, 634, 2132, 1871, 689, 713, 1505, 786, 2901, 581, 513, 2582, 1871, 610, 7183, 563, 825, 901, 568, 547, 6023, 519, 2013, 1141, 519, 6538, 1281, 711, 2270, 547, 1239, 454, 825, 519, 13214, 568, 10478, 585, 563, 825, 8173, 825, 2845, 3455, 29335, 2891, 5602, 825, 2845, 3455, 29335, 2891, 9558, 331, 908, 4632, 585, 13214, 5602, 825, 13214, 318, 16911, 815, 14377, 318, 16911, 18692, 1038, 4632, 14277, 19702, 762, 257, 16689, 1038, 4632, 14277, 5503, 15058, 14729, 792, 257, 16689, 1038, 4632, 14277, 339, 32294, 257, 16689, 1038, 4632, 14277, 4944, 7652, 257, 16689, 1038, 4632, 14277, 704, 1417, 850, 257, 16689, 1038, 1858, 2676, 1038, 4266, 318, 9792, 2676, 1038, 26254, 2676, 1038, 555, 1042, 1091, 2676, 825, 25589, 825, 2845, 3455, 29335, 2891, 8624, 22162, 3631, 5602, 825, 3631, 815, 1205, 318, 7116, 1564, 4433, 21983, 267, 4632, 14277, 704, 1417, 850, 257, 3910, 26254, 2020, 825, 15254, 12173, 815, 834, 318, 2668, 21860, 18692, 1038, 1496, 454, 2018, 4632, 14277, 19702, 762, 257, 16689, 2018, 4632, 14277, 5503, 15058, 14729, 792, 257, 16689, 2018, 4632, 14277, 339, 32294, 257, 16689, 2018, 4632, 14277, 4944, 7652, 257, 16689, 2018, 4632, 14277, 704, 1417, 850, 257, 16689, 1038, 23378, 825, 25589, 825, 2845, 3455, 29335, 2891, 293, 564, 4221, 1239, 585, 15079, 2668, 8971, 263, 12534, 12173, 11723, 825, 2164, 815, 1496, 454, 1038, 5173, 318, 14310, 18692, 2018, 13214, 12774, 2676, 2018, 13214, 318, 16911, 14277, 19702, 762, 257, 16689, 2018, 13214, 318, 16911, 14277, 5503, 257, 16689, 2018, 13214, 318, 16911, 14277, 9392, 7051, 257, 16689, 1038, 12467, 1038, 585, 13214, 12774, 538, 1496, 638, 2044, 318, 3724, 754, 4433, 21983, 267, 2203, 267, 13214, 318, 16911, 264, 585, 2203, 538, 3631, 2639, 1038, 952, 711, 13214, 12774, 29644, 263, 14085, 994, 825, 476, 6540, 825, 952, 711, 2164, 912, 1038, 2845, 3455, 269, 8705, 940, 2891, 4462, 762, 547, 1205, 1239, 585, 15079, 2668, 8971, 263, 12534, 12173, 4917, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 2132, 5286, 269, 704, 1417, 850, 263, 29798, 267, 13214, 318, 16911, 14277, 704, 1417, 850, 257, 7481, 0, 258, 8193, 281, 30016, 268, 279, 692, 5814, 19523, 692, 12803, 26073, 815, 1412, 8339, 21860, 4433, 903, 27769, 341, 314, 272, 7481, 258, 476, 12530, 499, 11210, 350, 11210, 353, 12530, 360, 28374, 12530, 495, 11210, 373, 11210, 496, 11210, 366, 12530, 481, 12530, 486, 692, 1467, 815, 703, 4433, 903, 27769, 341, 314, 273, 7481, 258, 476, 27310, 12255, 28374, 418, 490, 485, 27936, 22390, 353, 11210, 496, 11210, 366, 12530, 481, 12530, 486, 692, 3667, 815, 1412, 7055, 258, 476, 12530, 484, 11210, 511, 11210, 373, 12530, 486, 11210, 496, 24662, 11210, 490, 11210, 489, 11210, 482, 7430, 353, 11210, 496, 30853, 7430, 352, 7430, 357, 7430, 493, 692, 5976, 1930, 31526, 26073, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 3758, 10574, 912, 825, 1948, 29635, 359, 511, 7430, 379, 20001, 376, 7430, 379, 7430, 356, 12530, 499, 11210, 350, 11210, 353, 12530, 360, 11210, 496, 421, 500, 489, 7430, 493, 692, 825, 585, 1775, 538, 2039, 263, 1467, 2187, 8587, 1948, 1899, 28374, 12255, 7430, 510, 7430, 495, 419, 373, 364, 11210, 488, 13213, 498, 7430, 503, 692, 1038, 1257, 6834, 3758, 10574, 18667, 1467, 4590, 1038, 1948, 13127, 484, 483, 14395, 373, 11210, 496, 420, 359, 511, 7430, 379, 20001, 376, 11210, 497, 7430, 356, 12530, 484, 11210, 511, 11210, 373, 12530, 486, 7430, 360, 420, 10191, 20693, 510, 7430, 503, 11210, 489, 692, 2745, 29495, 14714, 8692, 15405, 258, 476, 23989, 419, 353, 374, 692, 258, 9226, 22545, 1691, 18258, 1315, 5825, 619, 270, 5652, 334, 515, 328, 270, 5327, 330, 9008, 270, 1911, 30893, 1442, 9706, 641, 983, 5991, 1868, 17902, 476, 274, 454, 0, 3698, 8799, 318, 8971, 263, 3438, 762, 267, 946, 318, 663, 281, 536, 944, 815, 6936, 267, 5569, 318, 638, 4925, 281, 1193, 815, 7183, 267, 3404, 5112, 318, 1260, 2742, 281, 536, 944, 815, 8771, 264, 9847, 1193, 912, 825, 8173, 825, 14474, 513, 1592, 23182, 269, 4675, 2176, 27823, 10070, 563, 825, 2433, 12407, 12055, 762, 281, 634, 4015, 547, 3898, 454, 825, 2433, 12407, 946, 318, 663, 281, 6787, 547, 946, 1412, 663, 262, 607, 519, 2063, 14966, 6382, 513, 26893, 568, 1031, 454, 825, 2433, 12407, 5569, 318, 638, 4925, 281, 23657, 7183, 610, 519, 1915, 547, 10839, 12673, 609, 454, 825, 2433, 12407, 3404, 5112, 318, 1260, 2742, 281, 6787, 547, 946, 606, 10228, 26893, 630, 1260, 2742, 1354, 543, 994, 825, 2433, 8873, 281, 634, 30149, 6041, 454, 825, 29185, 825, 1257, 815, 15234, 692, 825, 1101, 815, 6936, 454, 825, 2034, 815, 8771, 454, 825, 2063, 21223, 2211, 815, 7183, 692, 825, 585, 3693, 538, 12055, 762, 912, 1038, 952, 1101, 912, 2018, 1101, 815, 8771, 454, 2018, 2034, 815, 6936, 454, 1038, 8640, 2034, 912, 2018, 2034, 815, 8771, 454, 2018, 1257, 6834, 9041, 1598, 10857, 770, 21223, 2211, 267, 5569, 318, 638, 4925, 994, 1038, 3116, 912, 2018, 1257, 6834, 535, 3299, 2715, 318, 1598, 10857, 770, 21223, 2211, 267, 5569, 318, 638, 4925, 14587, 28847, 1038, 2063, 21223, 2211, 815, 3693, 692, 825, 521, 815, 9041, 1598, 10857, 770, 21223, 2211, 267, 5569, 318, 638, 4925, 994, 825, 952, 2034, 912, 1038, 1257, 6834, 521, 454, 825, 8640, 711, 1101, 912, 1038, 952, 946, 318, 663, 912, 2018, 952, 3404, 5112, 318, 1260, 2742, 912, 3546, 1257, 6834, 535, 3299, 543, 2715, 338, 348, 7055, 2018, 3116, 912, 3546, 1257, 6834, 535, 262, 543, 2715, 338, 348, 7055, 1038, 3116, 912, 2018, 1257, 6834, 535, 3299, 2715, 338, 348, 28847, 825, 2132, 1257, 7531, 3698, 8799, 318, 2745, 263, 3438, 762, 267, 946, 318, 663, 281, 536, 944, 815, 6936, 267, 5569, 318, 638, 4925, 281, 1193, 815, 7183, 267, 3404, 5112, 318, 1260, 2742, 281, 536, 944, 815, 8771, 2187, 825, 8173, 825, 2398, 6493, 513, 23182, 30149, 1592, 269, 4675, 2176, 27823, 10070, 563, 825, 2433, 12407, 12055, 762, 281, 634, 1592, 547, 3898, 454, 825, 2433, 12407, 946, 318, 663, 281, 6787, 547, 946, 1412, 663, 262, 607, 519, 2063, 14966, 6382, 513, 26893, 568, 1031, 454, 825, 2433, 12407, 5569, 318, 638, 4925, 281, 23657, 7183, 610, 519, 1915, 547, 10839, 12673, 609, 454, 825, 2433, 12407, 3404, 5112, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2012, 1582, 269, 614, 916, 585, 519, 8675, 540, 2474, 1477, 1038, 1948, 1924, 6449, 8181, 1029, 1058, 1628, 713, 8675, 689, 2474, 1477, 1038, 1582, 269, 614, 916, 815, 15079, 1477, 1038, 585, 24042, 538, 2474, 6769, 2018, 1379, 815, 24042, 314, 272, 15947, 2018, 11664, 815, 24042, 314, 271, 15947, 2018, 7682, 1826, 263, 1723, 324, 2310, 264, 538, 630, 842, 267, 10581, 1070, 834, 28139, 14857, 8181, 1029, 281, 3213, 324, 2310, 729, 2715, 9574, 1058, 581, 2901, 703, 610, 10581, 1701, 269, 8971, 263, 6943, 263, 1723, 324, 2310, 17903, 2018, 7682, 1826, 9638, 1077, 264, 2652, 703, 267, 834, 28139, 14857, 8181, 1029, 281, 5295, 729, 2715, 9574, 1058, 581, 606, 703, 1701, 269, 8971, 263, 6943, 9638, 1077, 17903, 2018, 7682, 1379, 13843, 476, 271, 267, 834, 28139, 14857, 8181, 1029, 281, 5295, 630, 346, 16585, 1590, 581, 3160, 547, 610, 3152, 982, 476, 271, 1701, 269, 8971, 9638, 1077, 3418, 2018, 7682, 1379, 711, 538, 1582, 269, 614, 916, 267, 834, 28139, 14857, 8181, 1029, 281, 5295, 20719, 16585, 2907, 538, 519, 9971, 267, 543, 3112, 581, 7368, 1701, 269, 8971, 9638, 1077, 3418, 17264, 1477, 2018, 952, 11664, 11203, 476, 271, 6769, 3546, 1582, 269, 614, 916, 314, 12741, 316, 815, 11664, 1477, 1363, 1477, 1038, 1948, 19130, 538, 519, 1964, 540, 713, 1505, 267, 1210, 2608, 614, 916, 547, 703, 658, 1125, 1582, 269, 614, 916, 5897, 17264, 1477, 825, 1948, 594, 723, 2854, 1193, 263, 1862, 264, 1317, 621, 568, 1031, 538, 519, 536, 2675, 17902, 3758, 543, 1477, 825, 1948, 567, 621, 568, 513, 3787, 11029, 547, 1205, 2953, 269, 18564, 602, 621, 17648, 602, 1477, 825, 1948, 567, 1169, 12443, 1843, 8637, 513, 9598, 4171, 10569, 616, 7060, 543, 4171, 1477, 825, 1948, 567, 2404, 2418, 616, 14170, 269, 901, 1599, 1281, 711, 4096, 1477, 825, 1948, 567, 593, 1022, 824, 1505, 538, 713, 1362, 1373, 2854, 7157, 269, 825, 1477, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 1219, 2165, 6262, 28872, 267, 12534, 8029, 2018, 2132, 630, 1598, 6262, 264, 952, 533, 2652, 476, 271, 610, 524, 11203, 476, 272, 3116, 1412, 10807, 1341, 315, 1477, 4449, 567, 630, 5257, 952, 533, 2652, 476, 271, 3116, 15254, 266, 3488, 317, 262, 266, 1598, 9638, 264, 952, 533, 11203, 476, 272, 3116, 1412, 10807, 3418, 1038, 952, 7003, 4311, 269, 614, 916, 264, 2652, 476, 271, 6769, 2018, 2132, 1412, 271, 262, 1477, 1038, 3116, 6769, 2018, 2132, 1412, 1341, 29717, 21860, 8443, 3410, 6262, 28872, 10086, 343, 10807, 585, 533, 22698, 538, 15044, 4311, 269, 614, 916, 29096, 19572, 516, 2091, 18989, 13580, 1040, 516, 2897, 3488, 266, 910, 12887, 268, 1412, 3418, 24541, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 2132, 23919, 815, 834, 29177, 1038, 585, 1379, 538, 1582, 269, 614, 916, 269, 12399, 28399, 2018, 2132, 23919, 6834, 834, 20719, 9574, 24001, 1070, 2668, 8971, 4311, 269, 614, 916, 314, 12741, 3910, 12741, 3418, 1038, 2132, 834, 28139, 2891, 1341, 2132, 23919, 11468, 268, 272, 316, 1341, 834, 17983, 5897, 24541, 825, 1219, 6449, 6352, 9191, 1345, 8029, 1038, 952, 1582, 269, 614, 916, 2652, 15079, 6769, 2018, 2132, 476, 271, 1477, 1038, 3116, 6769, 2018, 2132, 3193, 4311, 269, 614, 916, 269, 12399, 3890, 3418, 24541, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 1173, 8029, 1038, 2698, 815, 476, 271, 1477, 1038, 585, 1379, 538, 1582, 269, 614, 916, 269, 12399, 28399, 2018, 8107, 742, 815, 1582, 269, 614, 916, 314, 12741, 15947, 2018, 1007, 318, 1173, 815, 2415, 2878, 1379, 1477, 2018, 2698, 6834, 1007, 318, 1173, 2608, 8107, 742, 5897, 1038, 2132, 2698, 1477, 672, 5897, 825, 1219, 6449, 3438, 9191, 1345, 8029, 1038, 8424, 815, 15044, 4311, 269, 614, 916, 29096, 19572, 516, 2091, 18989, 3418, 1038, 1362, 4874, 318, 3438, 6769, 2018, 1219, 6449, 8181, 9191, 1345, 8029, 3546, 1582, 269, 3438, 762, 815, 8424, 1477, 3546, 1582, 8542, 815, 476, 271, 1477, 2018, 1219, 6449, 10113, 9191, 1345, 8029, 3546, 547, 318, 8873, 815, 1582, 8542, 1477, 3546, 2119, 6769, 7386, 1582, 8542, 6834, 476, 272, 1477, 7386, 2132, 630, 1345, 269, 3438, 762, 314, 1729, 318, 8873, 6012, 272, 3910, 1345, 269, 3438, 762, 314, 1729, 318, 8873, 6012, 271, 29573, 3546, 4849, 6769, 7386, 6318, 17547, 296, 614, 566, 1477, 1038, 2132, 4874, 318, 3438, 14052, 4449, 5897, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 8161, 8029, 1038, 952, 1826, 263, 8161, 264, 568, 711, 703, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 1326, 14403, 1029, 281, 4994, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 1701, 269, 8971, 263, 8161, 267, 6943, 263, 8161, 4297, 3418, 1038, 952, 4994, 2999, 476, 271, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 1326, 14403, 1029, 281, 4994, 20719, 16585, 1590, 581, 540, 1871, 476, 271, 610, 3152, 1701, 269, 8971, 263, 8161, 17903, 1038, 952, 4994, 711, 538, 1582, 269, 614, 916, 6769, 2018, 2132, 476, 271, 1477, 1038, 3116, 6769, 2018, 2132, 1582, 269, 614, 916, 27709, 15947, 4449, 476, 5897, 825, 1219, 6449, 3553, 14403, 9191, 1345, 267, 8161, 267, 7407, 8029, 1038, 952, 1826, 263, 8161, 264, 568, 711, 703, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3553, 14403, 1029, 281, 4994, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 1701, 269, 8971, 263, 8161, 267, 6943, 263, 8161, 4297, 3418, 1038, 952, 4994, 2999, 476, 271, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3553, 14403, 1029, 281, 4994, 630, 346, 16585, 1590, 581, 540, 1871, 476, 271, 610, 3152, 1701, 269, 8971, 263, 8161, 17903, 1038, 952, 1826, 263, 8161, 264, 711, 538, 630, 842, 267, 15615, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3553, 14403, 1029, 281, 1871, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 610, 10581, 1701, 269, 8971, 263, 7407, 267, 6943, 263, 7407, 4297, 3418, 1363, 1477, 1038, 952, 1871, 2652, 476, 271, 6769, 2018, 1642, 1582, 27709, 15947, 17264, 1477, 1038, 3116, 6769, 2018, 1582, 269, 614, 916, 27709, 316, 815, 1871, 1477, 1363, 1477, 1038, 2132, 7183, 1477, 17264, 5897, 825, 1219, 6449, 23437, 14403, 9191, 1345, 267, 8161, 8029, 1038, 952, 1826, 263, 8161, 264, 568, 711, 703, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3553, 14403, 1029, 281, 4994, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 1701, 269, 8971, 263, 8161, 267, 6943, 263, 8161, 4297, 3418, 1038, 952, 4994, 2999, 476, 271, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3553, 14403, 1029, 281, 4994, 630, 346, 16585, 1590, 581, 540, 1871, 476, 271, 610, 3152, 1701, 269, 8971, 263, 8161, 17903, 1363, 1477, 1038, 952, 4994, 711, 538, 1582, 269, 614, 916, 6769, 2018, 2132, 7183, 1477, 1038, 3116, 6769, 2018, 1642, 1582, 269, 614, 916, 27709, 15947, 17264, 5897, 825, 1219, 9041, 5417, 318, 3410, 4311, 22698, 28872, 8029, 1038, 952, 1826, 6262, 264, 711, 538, 630, 842, 267, 15615, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 11519, 5417, 318, 3410, 281, 11664, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 610, 10581, 2668, 8971, 263, 6943, 6262, 1070, 524, 17903, 1038, 952, 1826, 9638, 264, 568, 711, 703, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 11519, 5417, 318, 3410, 281, 1379, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 703, 2668, 8971, 263, 6943, 9638, 1070, 533, 17903, 1038, 952, 533, 2999, 476, 271, 6769, 2018, 6318, 7392, 13286, 2891, 28139, 11519, 5417, 318, 3410, 281, 1379, 630, 346, 16585, 1590, 711, 581, 1447, 982, 4642, 1701, 269, 8971, 9638, 17903, 1363, 1477, 1038, 952, 533, 711, 538, 1582, 269, 614, 916, 543, 524, 11203, 476, 271, 6769, 2018, 1582, 314, 335, 316, 815, 524, 1477, 1363, 1477, 1038, 3116, 6769, 2018, 1007, 23544, 815, 1582, 314, 335, 316, 1341, 524, 1477, 2018, 952, 1007, 23544, 2652, 476, 271, 6769, 3546, 1642, 1582, 314, 335, 15947, 2018, 3116, 6769, 3546, 1582, 314, 335, 316, 815, 1007, 23544, 1477, 1038, 2132, 7183, 1477, 1038, 5897, 825, 1219, 6449, 5417, 9191, 1345, 267, 2431, 8029, 1038, 952, 1826, 263, 2431, 264, 711, 538, 630, 28139, 267, 703, 267, 10581, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 5417, 1029, 281, 1318, 1766, 663, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 12443, 267, 703, 267, 610, 10581, 2668, 8971, 263, 2431, 267, 1826, 263, 2431, 4297, 10142, 1038, 2132, 7272, 8432, 815, 12443, 14052, 1363, 1477, 1038, 952, 1826, 263, 2431, 264, 538, 630, 842, 267, 15615, 8029, 2018, 1318, 815, 12443, 9230, 2431, 267, 271, 17903, 1363, 1477, 1038, 585, 1379, 538, 1582, 269, 614, 916, 269, 12399, 28399, 2018, 2132, 7272, 8432, 11519, 5417, 318, 3410, 4311, 269, 614, 916, 314, 12741, 3910, 1379, 3418, 1363, 1477, 1038, 585, 1379, 538, 1318, 269, 614, 916, 269, 12399, 28399, 2018, 2132, 7272, 8432, 11519, 5417, 318, 3410, 263, 2431, 269, 614, 916, 314, 12741, 3910, 1379, 3418, 17264, 1477, 1038, 2132, 2132, 7272, 8432, 1477, 24541, 825, 1219, 6449, 2784, 323, 9191, 1345, 267, 3847, 8029, 1038, 952, 1826, 263, 3847, 264, 711, 538, 630, 28139, 267, 703, 267, 10581, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 2784, 323, 1029, 281, 2451, 1766, 663, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 12443, 267, 703, 267, 610, 10581, 2668, 8971, 263, 3847, 267, 1826, 263, 3847, 4297, 3418, 1363, 1477, 1038, 2132, 1582, 1341, 2451, 1477, 672, 5897, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 2431, 8029, 1038, 952, 1826, 263, 2431, 264, 711, 538, 630, 28139, 267, 703, 267, 10581, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 332, 592, 1029, 281, 1318, 1766, 663, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 12443, 267, 703, 267, 610, 10581, 2668, 8971, 263, 2431, 267, 1826, 263, 2431, 4297, 3418, 1363, 1477, 1038, 2132, 7272, 8432, 815, 12443, 14052, 1363, 1477, 1038, 952, 1826, 263, 2431, 264, 538, 630, 842, 267, 15615, 8029, 2018, 1318, 815, 12443, 9230, 2431, 267, 271, 17903, 17264, 1477, 1038, 585, 1379, 538, 1582, 269, 614, 916, 269, 12399, 28399, 2018, 585, 1318, 7272, 1077, 538, 1318, 269, 614, 916, 269, 12399, 28399, 3546, 952, 1582, 269, 614, 916, 314, 12741, 316, 2652, 476, 271, 6769, 7386, 8107, 742, 815, 1318, 269, 614, 916, 314, 2431, 7272, 1077, 15947, 3546, 8640, 1318, 269, 614, 916, 314, 2431, 7272, 1077, 316, 2652, 476, 271, 6769, 7386, 8107, 742, 815, 1582, 269, 614, 916, 314, 12741, 15947, 3546, 3116, 6769, 7386, 8107, 742, 815, 1582, 269, 614, 916, 314, 12741, 316, 2608, 1318, 269, 614, 916, 314, 2431, 7272, 1077, 15947, 4449, 1477, 3546, 2132, 7272, 8432, 11519, 5417, 318, 3410, 263, 1723, 27889, 267, 12741, 1341, 1318, 7272, 1077, 3418, 4449, 1477, 1038, 2132, 2132, 7272, 8432, 1477, 1363, 1477, 672, 5897, 825, 1219, 6449, 3944, 592, 9191, 1345, 267, 3847, 8029, 1038, 952, 1826, 263, 3847, 264, 711, 538, 630, 28139, 267, 703, 267, 10581, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 3944, 592, 1029, 281, 2451, 1766, 663, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 12443, 267, 703, 267, 610, 10581, 2668, 8971, 263, 3847, 267, 1826, 263, 3847, 4297, 3418, 1038, 2132, 1582, 2608, 2451, 5897, 825, 1219, 6449, 18091, 9191, 1345, 267, 2431, 8029, 1038, 952, 1826, 263, 2431, 264, 711, 538, 630, 28139, 267, 703, 267, 10581, 8029, 2018, 6318, 7392, 13286, 2891, 28139, 14857, 18091, 1029, 281, 1318, 1766, 663, 630, 346, 16585, 729, 540, 1826, 2715, 9574, 1590, 581, 540, 1826, 12443, 267, 703, 267, 610, 10581, 2668, 8971, 263, 2431, 267, 1826, 263, 2431, 4297, 3418, 1363, 1477, 1038, 952, 1826, 263, 2431, 264, 538, 630, 842, 267, 10581, 8029, 2018, 1318, 815, 12443, 9230, 2431, 267, 271, 17903, 1363, 1477, 1038, 585, 1379, 538, 1582, 269, 614, 916, 269, 12399, 28399, 2018, 952, 1582, 314, 12741, 316, 11203, 1318, 314, 12741, 316, 6769, 3546, 2132, 8771, 1477, 1363, 1477, 1038, 2132, 6936, 5897, 24541, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1948, 2368, 2241, 4255, 282, 596, 666, 6085, 873, 856, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 306, 9331, 300, 14473, 5508, 5990, 5442, 309, 2894, 3582, 454, 6097, 569, 267, 621, 568, 835, 1843, 540, 519, 1459, 8798, 547, 1683, 606, 6850, 19945, 3749, 4159, 3926, 799, 10525, 519, 2012, 540, 513, 31092, 23142, 13590, 6329, 799, 616, 4607, 676, 513, 22934, 17513, 563, 6097, 547, 519, 8798, 267, 713, 543, 824, 3615, 616, 6913, 676, 513, 4159, 3926, 799, 568, 6353, 676, 513, 3965, 267, 519, 3403, 540, 799, 568, 4448, 693, 2547, 547, 519, 3977, 540, 513, 1101, 5547, 11460, 543, 519, 3977, 540, 799, 568, 4448, 547, 513, 2034, 5547, 11460, 3177, 585, 519, 29835, 540, 519, 6850, 19945, 3749, 4159, 3457, 269, 634, 3965, 13408, 513, 32469, 540, 3965, 7161, 267, 1142, 540, 799, 8637, 519, 2012, 540, 835, 31092, 269, 634, 8798, 568, 2417, 6353, 538, 602, 519, 3977, 5365, 540, 519, 1101, 5547, 11460, 568, 1031, 607, 519, 2232, 540, 513, 3965, 3625, 543, 519, 9115, 540, 519, 9619, 3965, 3625, 616, 10299, 267, 585, 519, 6850, 19945, 3749, 4159, 267, 547, 519, 3403, 540, 519, 2034, 5547, 11460, 563, 12024, 519, 6850, 19945, 3749, 4159, 3457, 2907, 5018, 267, 519, 1007, 4159, 3926, 814, 1100, 2964, 1227, 3001, 2694, 269, 634, 5907, 3334, 1031, 2154, 2370, 2230, 267, 798, 711, 991, 1367, 1224, 3286, 618, 543, 616, 538, 851, 20749, 2139, 610, 666, 581, 14475, 10464, 569, 538, 1804, 2338, 269, 4595, 1152, 519, 2012, 540, 835, 1880, 22934, 31092, 5526, 593, 519, 4159, 2627, 267, 519, 4159, 568, 11593, 1850, 1043, 1256, 538, 519, 2013, 540, 513, 5266, 1507, 4159, 2627, 543, 689, 513, 5266, 1804, 3845, 269, 1403, 519, 3965, 7161, 616, 9290, 2406, 9619, 267, 621, 568, 2009, 796, 3711, 580, 28204, 547, 4159, 1256, 1346, 10141, 1562, 2348, 12451, 9674, 676, 519, 7989, 24777, 5934, 19437, 269, 7053, 267, 519, 6073, 540, 8108, 519, 2232, 849, 2306, 621, 2009, 585, 519, 2012, 540, 519, 22934, 31092, 1152, 547, 581, 10268, 950, 25122, 568, 693, 519, 19993, 563, 1103, 513, 9053, 20032, 540, 519, 1007, 4159, 3926, 267, 606, 1437, 908, 5547, 568, 3177, 267, 799, 568, 13745, 547, 519, 3403, 5547, 610, 547, 606, 13591, 4908, 5547, 540, 519, 17513, 543, 799, 31591, 519, 4159, 3926, 1152, 952, 519, 5365, 4607, 20489, 513, 5934, 1871, 799, 666, 581, 1305, 593, 513, 6453, 2707, 269, 901, 1437, 908, 5547, 814, 519, 1267, 602, 1152, 1346, 10141, 1562, 616, 10268, 267, 4171, 4607, 4605, 543, 5924, 3280, 6786, 616, 4607, 1510, 13779, 563, 289, 6020, 9128, 23370, 31304, 303, 3582, 5508, 5990, 667, 6938, 310, 5058, 306, 454, 288, 811, 2347, 7071, 540, 519, 8798, 543, 1082, 540, 519, 7390, 656, 5383, 23476, 786, 581, 11593, 5833, 607, 519, 1482, 3587, 1732, 6956, 676, 4704, 547, 519, 1739, 2143, 6609, 950, 2808, 538, 4276, 609, 519, 18913, 12400, 267, 13296, 912, 20983, 269, 476, 272, 568, 513, 3625, 6516, 540, 513, 1101, 20032, 540, 519, 1007, 4159, 3926, 2687, 547, 519, 8798, 3248, 20983, 269, 476, 273, 568, 513, 3625, 6516, 540, 513, 2034, 20032, 540, 519, 1007, 4159, 3926, 3248, 20983, 269, 476, 274, 568, 513, 3625, 6516, 540, 513, 3791, 20032, 540, 519, 1007, 4159, 3926, 282, 543, 2676, 20983, 269, 476, 275, 568, 513, 3625, 6516, 540, 513, 5464, 5547, 799, 31591, 519, 4159, 3926, 1152, 952, 519, 31092, 3977, 4607, 20489, 606, 28253, 5934, 1871, 563, 291, 2464, 31304, 303, 3582, 5508, 5990, 28217, 29052, 305, 3633, 661, 11586, 7495, 8379, 19006, 454, 8269, 518, 2590, 1631, 547, 519, 12400, 267, 13296, 899, 4704, 27766, 1374, 622, 9838, 610, 7222, 2694, 2429, 519, 1896, 5784, 267, 519, 8798, 568, 1631, 4330, 269, 898, 568, 7074, 267, 2705, 267, 602, 519, 4393, 540, 519, 6786, 2838, 585, 519, 4159, 3926, 267, 538, 1880, 519, 632, 2275, 537, 7204, 540, 14251, 725, 689, 513, 29482, 543, 5924, 7537, 14251, 1807, 267, 519, 29208, 540, 891, 14251, 2209, 606, 741, 7503, 547, 14328, 20512, 267, 607, 1134, 607, 519, 1016, 1673, 643, 1707, 540, 519, 13942, 4908, 543, 519, 13350, 10203, 540, 519, 20512, 1282, 1095, 564, 2110, 5712, 540, 942, 267, 568, 1634, 543, 14916, 4330, 267, 585, 1383, 538, 667, 307, 268, 3008, 476, 273, 267, 3374, 279, 267, 6858, 274, 543, 538, 519, 2907, 5018, 8313, 538, 519, 4760, 834, 293, 6064, 268, 20007, 1731, 2668, 634, 4393, 540, 513, 1463, 6453, 267, 7222, 547, 519, 4259, 540, 513, 25122, 3693, 267, 883, 3059, 6786, 543, 267, 538, 1880, 267, 883, 513, 1297, 9967, 540, 1896, 9704, 267, 568, 11338, 1634, 543, 4330, 267, 585, 1383, 538, 519, 20926, 667, 307, 268, 5308, 476, 273, 267, 31973, 267, 5400, 279, 282, 585, 713, 2601, 267, 891, 2694, 540, 5365, 4393, 538, 513, 1101, 5547, 11460, 616, 31360, 538, 519, 1739, 1257, 563, 2005, 568, 849, 2009, 267, 2705, 267, 547, 8415, 519, 14251, 725, 267, 799, 616, 547, 581, 18886, 267, 2047, 689, 519, 10636, 1328, 928, 14251, 1807, 269, 4595, 621, 568, 711, 2556, 547, 4159, 1022, 31092, 4908, 610, 6728, 4908, 267, 855, 2094, 513, 3989, 14251, 1807, 4908, 14687, 547, 1142, 31092, 610, 547, 1142, 6728, 267, 621, 568, 2009, 267, 676, 1797, 540, 513, 22232, 4908, 4831, 1256, 1510, 1210, 606, 13591, 4908, 3765, 2173, 10248, 5547, 540, 519, 1826, 4330, 538, 667, 307, 268, 3008, 476, 273, 267, 3374, 279, 267, 6858, 274, 267, 547, 1198, 513, 834, 29715, 257, 1852, 689, 519, 10636, 1328, 928, 14251, 1807, 267, 799, 1852, 267, 2705, 267, 568, 1572, 606, 9940, 6482, 538, 519, 1739, 1257, 563, 11101, 267, 547, 14458, 519, 5515, 543, 519, 6609, 799, 5205, 267, 621, 568, 10924, 602, 519, 4408, 610, 4162, 540, 519, 10141, 1562, 547, 581, 10268, 723, 267, 585, 16134, 781, 19160, 267, 1152, 2185, 13672, 5991, 10179, 673, 3197, 563, 763, 1101, 20032, 540, 519, 1007, 4159, 3926, 267, 3254, 538, 16658, 269, 476, 272, 267, 13408, 1896, 18364, 15985, 956, 476, 1015, 267, 476, 1556, 267, 476, 1321, 799, 1291, 689, 519, 3977, 540, 513, 4831, 610, 12746, 7933, 580, 1388, 20303, 476, 1724, 547, 519, 3403, 540, 513, 3965, 476, 1691, 269, 3962, 18364, 22753, 568, 5497, 547, 10141, 513, 1003, 1968, 538, 645, 7374, 3009, 543, 814, 2185, 26423, 585, 713, 3483, 269, 9050, 18364, 15985, 956, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 1291, 538, 1142, 2013, 689, 519, 3965, 3977, 547, 835, 10126, 1232, 18344, 476, 2420, 267, 476, 2537, 267, 476, 2190, 610, 476, 1839, 6606, 269, 3962, 18364, 22753, 568, 5497, 547, 1780, 593, 513, 4484, 610, 1915, 538, 32412, 2862, 3009, 543, 3568, 519, 3670, 26423, 2838, 585, 713, 3483, 269, 634, 3977, 540, 1142, 10126, 1232, 18344, 568, 4448, 3842, 513, 27296, 22753, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 547, 606, 2404, 6850, 19945, 3749, 4159, 3693, 476, 3953, 267, 476, 3451, 267, 476, 4097, 543, 476, 3374, 6606, 269, 769, 519, 20032, 3254, 267, 1142, 4159, 3693, 814, 27552, 4159, 12415, 799, 666, 581, 15427, 14350, 267, 543, 585, 713, 2601, 1142, 540, 519, 2063, 268, 20197, 18364, 15985, 956, 849, 814, 27552, 26423, 563, 2414, 4766, 519, 7154, 540, 5106, 540, 713, 4159, 267, 1577, 721, 8263, 602, 267, 693, 519, 3977, 540, 519, 4831, 610, 12746, 7933, 580, 1388, 20303, 476, 1724, 267, 972, 568, 513, 1614, 18251, 1297, 799, 14687, 547, 519, 27766, 538, 519, 1614, 5207, 8918, 4025, 540, 519, 4908, 540, 519, 31092, 1634, 896, 519, 1129, 540, 17335, 293, 274, 540, 799, 568, 21248, 547, 519, 4908, 540, 713, 31092, 269, 1323, 834, 718, 11343, 4908, 257, 568, 267, 585, 1383, 267, 519, 14251, 1807, 4908, 540, 519, 17513, 269, 901, 5311, 540, 27766, 568, 5293, 3842, 519, 3515, 476, 1015, 267, 476, 1556, 267, 476, 1321, 547, 519, 3403, 540, 519, 3965, 476, 1691, 543, 5713, 607, 519, 2232, 585, 513, 3965, 3625, 538, 799, 519, 3197, 590, 267, 654, 267, 674, 543, 476, 274, 616, 6740, 269, 1306, 4166, 607, 519, 3965, 3625, 814, 1044, 9619, 267, 519, 1239, 3688, 7222, 547, 891, 3197, 2408, 693, 519, 3977, 540, 519, 3965, 267, 543, 1142, 540, 519, 3688, 568, 1287, 5293, 3842, 835, 540, 519, 3515, 476, 1704, 267, 476, 1240, 267, 476, 866, 543, 476, 736, 547, 513, 10126, 1232, 18344, 476, 2420, 267, 476, 2537, 267, 476, 2190, 543, 476, 1839, 6606, 269, 1635, 1797, 540, 513, 5078, 5547, 267, 519, 10126, 1232, 18344, 1287, 13462, 519, 4159, 12415, 267, 2838, 585, 519, 9804, 6041, 540, 519, 1880, 1915, 267, 3842, 519, 7222, 26423, 538, 519, 2404, 18364, 22753, 563, 2005, 568, 547, 581, 6956, 602, 267, 538, 519, 1383, 3254, 267, 519, 18364, 15985, 956, 476, 1556, 543, 476, 1321, 267, 6537, 538, 546, 10449, 538, 513, 2241, 6073, 267, 543, 519, 18364, 15985, 956, 476, 1240, 267, 476, 866, 543, 476, 736, 267, 6537, 538, 519, 1482, 1259, 267, 11338, 1142, 723, 2185, 610, 3670, 1367, 26423, 6606, 563, 763, 20032, 540, 519, 1007, 4159, 3926, 267, 3254, 538, 16658, 269, 476, 273, 267, 11338, 13408, 1614, 18364, 15985, 956, 476, 2412, 267, 476, 6078, 267, 476, 5655, 799, 1921, 519, 3977, 540, 513, 4831, 610, 12746, 3059, 20303, 476, 6246, 547, 519, 3403, 540, 513, 3965, 476, 4510, 269, 5047, 267, 513, 1101, 13942, 11718, 476, 5379, 568, 3177, 267, 519, 3977, 540, 799, 568, 11338, 4448, 547, 519, 3403, 540, 519, 3965, 269, 634, 3977, 540, 519, 3965, 568, 4448, 676, 1797, 540, 513, 18364, 22753, 476, 5325, 547, 606, 3403, 540, 513, 1232, 18344, 476, 4366, 269, 634, 9343, 540, 513, 5722, 268, 992, 4159, 5119, 476, 5392, 616, 4448, 547, 519, 3977, 540, 713, 1232, 18344, 269, 634, 3926, 849, 13408, 513, 2034, 13942, 11718, 476, 7906, 267, 547, 519, 856, 696, 540, 799, 519, 1482, 1297, 540, 26423, 568, 4448, 607, 519, 1297, 540, 9587, 8659, 538, 519, 4159, 5119, 476, 5392, 269, 769, 519, 1383, 3254, 267, 891, 26423, 616, 5916, 883, 2185, 18364, 15985, 956, 476, 7367, 267, 476, 7871, 267, 476, 7918, 543, 476, 4649, 267, 1142, 540, 799, 5012, 547, 835, 6241, 540, 519, 4159, 5119, 476, 5392, 269, 5047, 267, 1079, 3515, 476, 3445, 267, 476, 11011, 1291, 689, 519, 3977, 540, 519, 2034, 13942, 11718, 476, 7906, 547, 519, 1232, 18344, 476, 4366, 543, 547, 519, 1101, 13942, 11718, 476, 5379, 6606, 563, 1103, 16658, 269, 476, 273, 849, 267, 585, 519, 19160, 540, 513, 2312, 6041, 267, 519, 1367, 26423, 540, 519, 18364, 15985, 956, 476, 2412, 267, 476, 6078, 267, 476, 5655, 630, 6518, 5330, 547, 519, 18364, 15985, 956, 476, 1015, 267, 476, 1556, 543, 476, 1321, 538, 16658, 269, 476, 272, 264, 6537, 538, 546, 10449, 616, 267, 899, 1346, 540, 519, 18364, 22753, 476, 5325, 630, 6518, 14687, 547, 519, 18364, 22753, 476, 1704, 538, 16658, 269, 476, 272, 264, 543, 519, 26423, 540, 519, 15985, 956, 476, 7871, 267, 476, 7918, 543, 476, 4649, 630, 6518, 5330, 547, 1346, 540, 519, 26423, 22753, 476, 7367, 1070, 711, 6537, 14350, 563, 2414, 4766, 519, 7154, 540, 5106, 540, 713, 20032, 267, 1577, 721, 8263, 1586, 602, 267, 693, 519, 3977, 540, 519, 4831, 610, 12746, 7933, 580, 1388, 20303, 267, 972, 568, 513, 5311, 540, 9704, 267, 799, 14687, 547, 519, 5207, 8918, 4025, 540, 519, 4908, 540, 519, 22934, 31092, 269, 3962, 540, 519, 27573, 9704, 568, 5293, 3842, 835, 540, 519, 18364, 15985, 956, 476, 2412, 267, 476, 6078, 267, 476, 5655, 547, 519, 3403, 540, 519, 3965, 476, 4510, 1141, 519, 1297, 267, 9967, 540, 519, 9704, 267, 568, 1031, 607, 519, 2232, 585, 513, 3965, 3625, 538, 799, 519, 5311, 540, 3197, 585, 519, 2012, 540, 519, 31092, 21248, 547, 713, 4908, 568, 6740, 269, 634, 20512, 5293, 689, 519, 13942, 11718, 476, 5379, 547, 519, 3965, 616, 1031, 607, 12557, 20512, 799, 3313, 519, 19588, 538, 942, 950, 519, 3197, 616, 1224, 856, 269, 634, 3197, 616, 1934, 1224, 856, 538, 606, 796, 5793, 32152, 5311, 267, 602, 568, 547, 2161, 1310, 519, 2063, 1915, 814, 1044, 1224, 856, 267, 519, 1101, 1915, 31272, 8986, 267, 543, 865, 593, 267, 607, 1279, 607, 519, 1482, 3965, 3625, 568, 9619, 269, 634, 3197, 267, 799, 616, 27573, 267, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1321, 269, 6246, 476, 1626, 269, 876, 476, 274, 269, 7597, 476, 4375, 269, 876, 476, 1556, 269, 4029, 476, 7830, 269, 876, 476, 1321, 269, 4510, 476, 1704, 269, 876, 476, 274, 269, 10037, 476, 2412, 269, 876, 476, 1556, 269, 6812, 476, 8287, 269, 876, 476, 1321, 269, 3393, 476, 1240, 269, 876, 476, 274, 269, 11152, 476, 6078, 269, 876, 476, 1556, 269, 10619, 476, 5038, 269, 876, 476, 1321, 269, 5325, 476, 866, 269, 876, 476, 275, 269, 6349, 476, 5655, 269, 876, 476, 1556, 269, 5952, 476, 4792, 269, 876, 476, 1321, 269, 4366, 476, 736, 269, 876, 476, 275, 269, 1691, 476, 6246, 269, 876, 476, 1556, 269, 11152, 476, 5780, 269, 876, 476, 1321, 269, 5392, 476, 2641, 269, 876, 476, 275, 269, 2420, 476, 4510, 269, 876, 476, 1321, 269, 876, 476, 6858, 269, 876, 476, 1321, 269, 2004, 476, 2420, 269, 876, 476, 275, 269, 1789, 476, 3393, 269, 876, 476, 1321, 269, 4962, 476, 6924, 269, 876, 476, 1321, 269, 7906, 476, 2537, 269, 876, 476, 275, 269, 4343, 476, 5379, 269, 876, 476, 1321, 269, 1015, 476, 7597, 269, 876, 476, 1321, 269, 7367, 692, 1428, 269, 11512, 1946, 621, 568, 711, 2009, 585, 513, 3732, 540, 1216, 547, 8195, 723, 27846, 543, 670, 4596, 274, 607, 2959, 540, 30175, 6541, 780, 1626, 269, 1280, 1142, 540, 519, 1739, 267, 3313, 519, 2959, 540, 30175, 6541, 630, 15121, 267, 670, 4596, 274, 267, 2910, 3953, 1700, 264, 543, 741, 9757, 9830, 538, 2694, 829, 2929, 269, 769, 1142, 2013, 513, 476, 1839, 269, 876, 2173, 299, 3732, 568, 5707, 3603, 609, 476, 271, 269, 15686, 279, 631, 670, 5141, 547, 519, 28538, 665, 637, 565, 3039, 543, 519, 4307, 20462, 628, 1446, 514, 1439, 2798, 780, 11730, 540, 670, 5141, 630, 332, 299, 264, 547, 519, 4307, 20462, 628, 1446, 514, 1439, 1448, 11730, 540, 670, 5141, 630, 332, 299, 264, 547, 519, 28538, 665, 637, 565, 3039, 1439, 1448, 513, 476, 2641, 269, 3607, 476, 2641, 269, 4343, 536, 476, 276, 269, 6858, 476, 2641, 269, 1724, 524, 476, 271, 269, 876, 476, 1691, 269, 2764, 546, 476, 1704, 269, 1321, 476, 4097, 269, 2918, 552, 476, 2641, 269, 3607, 476, 1839, 269, 7597, 692, 1704, 269, 589, 3732, 949, 2270, 1022, 540, 519, 1739, 281, 670, 5141, 267, 10878, 15121, 267, 670, 274, 17269, 275, 267, 670, 273, 17269, 275, 267, 670, 17269, 5655, 1700, 267, 610, 18161, 6246, 1700, 269, 634, 5888, 540, 513, 3732, 568, 5462, 676, 5707, 7992, 513, 476, 1839, 269, 876, 2173, 299, 6712, 609, 476, 271, 269, 15686, 279, 631, 670, 5141, 610, 476, 271, 269, 15686, 279, 631, 10878, 15121, 547, 519, 4307, 20462, 628, 1446, 514, 543, 519, 18861, 10538, 1439, 2798, 269, 1280, 1142, 540, 519, 1739, 267, 3313, 799, 2249, 616, 1459, 538, 519, 3732, 267, 543, 741, 9757, 24855, 9830, 780, 25315, 7949, 26263, 20462, 628, 1446, 514, 1439, 722, 489, 25991, 1448, 4320, 630, 332, 299, 264, 18861, 10538, 1439, 1448, 4320, 630, 332, 299, 264, 513, 670, 5141, 476, 1556, 269, 7918, 476, 3374, 269, 3066, 536, 10878, 15121, 476, 866, 269, 8064, 476, 280, 269, 8660, 524, 670, 5141, 476, 2420, 269, 10602, 476, 2420, 269, 4281, 546, 10878, 15121, 476, 4375, 269, 5655, 476, 1704, 269, 4366, 692, 1240, 269, 634, 3940, 538, 513, 476, 272, 269, 29257, 277, 3766, 3732, 540, 606, 27046, 23611, 568, 5462, 676, 513, 918, 329, 15505, 22844, 2079, 269, 634, 3732, 568, 2007, 6479, 609, 670, 273, 12569, 275, 267, 519, 4611, 3070, 1500, 2596, 609, 10878, 15121, 267, 543, 519, 19760, 274, 30341, 883, 476, 2004, 269, 876, 20853, 540, 476, 271, 269, 271, 4817, 7367, 631, 670, 5141, 269, 634, 4430, 670, 5141, 568, 1394, 5707, 3603, 1210, 476, 4391, 269, 10019, 20853, 540, 476, 271, 269, 4962, 280, 10844, 631, 10878, 15121, 269, 9717, 602, 519, 5946, 538, 9274, 3328, 476, 1704, 269, 7918, 260, 530, 11320, 715, 267, 1867, 519, 4939, 342, 11320, 3940, 538, 519, 3732, 780, 866, 269, 634, 5834, 540, 14298, 273, 538, 2011, 568, 5462, 676, 11164, 17331, 513, 3732, 540, 2011, 998, 513, 15972, 5627, 670, 273, 302, 273, 269, 7621, 9179, 540, 14298, 273, 676, 670, 273, 302, 273, 2164, 538, 519, 5250, 540, 670, 273, 12569, 275, 267, 799, 568, 1287, 5462, 676, 5707, 7992, 609, 10878, 15121, 269, 769, 513, 6093, 2079, 267, 513, 3732, 540, 2011, 729, 5293, 998, 519, 25681, 15972, 693, 513, 2557, 540, 476, 1321, 269, 276, 700, 26553, 585, 476, 2568, 1295, 543, 2838, 476, 1015, 269, 5400, 20853, 540, 476, 271, 269, 271, 2190, 275, 631, 10878, 15121, 547, 3914, 519, 4307, 20462, 628, 1446, 514, 1439, 1448, 269, 12433, 519, 13179, 299, 13624, 14298, 273, 538, 519, 3732, 540, 2011, 269, 634, 5860, 540, 14298, 273, 693, 519, 2837, 540, 519, 2011, 3732, 568, 476, 273, 269, 10436, 8406, 8276, 299, 780, 736, 269, 634, 5834, 540, 2910, 273, 538, 2011, 568, 5462, 676, 606, 9940, 3679, 1700, 19668, 5707, 1674, 269, 589, 3732, 540, 2011, 568, 11164, 16940, 998, 513, 3070, 5627, 606, 4430, 540, 13391, 263, 15121, 264, 273, 267, 10511, 23550, 13391, 4596, 274, 269, 634, 4430, 13391, 263, 15121, 264, 273, 568, 1394, 5707, 3603, 609, 670, 5141, 269, 769, 513, 6093, 2079, 513, 476, 274, 269, 276, 6441, 3732, 540, 2011, 729, 11164, 16940, 998, 476, 2004, 269, 876, 20853, 540, 476, 271, 269, 22903, 271, 631, 13391, 263, 15121, 264, 273, 269, 7982, 5707, 7992, 609, 476, 271, 269, 31648, 277, 631, 670, 5141, 2838, 476, 4343, 269, 6812, 20853, 547, 3914, 519, 1439, 1448, 269, 14419, 519, 28327, 2910, 273, 538, 519, 3732, 540, 2011, 2016, 602, 519, 5860, 540, 2910, 273, 693, 519, 2837, 540, 519, 3732, 568, 476, 272, 269, 7176, 575, 13624, 780, 2641, 269, 634, 19454, 540, 513, 10991, 7041, 540, 8715, 1803, 628, 2643, 11337, 821, 267, 595, 274, 295, 279, 302, 267, 568, 5462, 676, 32232, 621, 609, 18038, 2643, 8533, 8652, 18608, 728, 267, 5391, 518, 908, 670, 5141, 630, 5408, 5114, 538, 7305, 476, 280, 269, 279, 1040, 769, 513, 6093, 2079, 513, 476, 274, 269, 876, 2173, 299, 3732, 729, 29809, 547, 476, 2004, 269, 876, 20853, 543, 5701, 609, 606, 4430, 540, 18038, 2643, 8533, 8652, 18608, 728, 269, 634, 5391, 23306, 670, 5141, 729, 5707, 3603, 609, 476, 271, 269, 4200, 279, 280, 631, 10878, 15121, 267, 8506, 476, 3953, 269, 6924, 20853, 547, 3914, 519, 1439, 1448, 269, 7797, 519, 2600, 19454, 540, 519, 3732, 2016, 602, 519, 5860, 540, 8715, 1803, 628, 2643, 11337, 821, 568, 476, 271, 269, 3199, 276, 575, 8276, 299, 780, 2420, 269, 10960, 9600, 543, 10448, 11041, 616, 13290, 1562, 4646, 689, 519, 5114, 1063, 9848, 1356, 565, 630, 272, 267, 273, 267, 274, 1790, 1886, 534, 564, 686, 565, 264, 543, 1614, 1279, 7302, 664, 9761, 7408, 269, 2290, 540, 519, 2409, 1031, 547, 21656, 513, 3170, 610, 606, 3282, 568, 513, 8990, 540, 922, 18682, 517, 2305, 1297, 269, 1879, 5701, 609, 14495, 25694, 918, 15121, 267, 606, 1965, 614, 18682, 517, 5809, 883, 519, 2385, 4568, 543, 9761, 7408, 630, 553, 1286, 7901, 2643, 622, 12274, 1040, 634, 18682, 517, 2305, 1297, 568, 519, 1297, 540, 31501, 540, 918, 15121, 2838, 547, 18682, 517, 1518, 476, 272, 269, 1822, 6121, 540, 519, 3170, 610, 519, 3282, 269, 769, 513, 6093, 2079, 513, 476, 273, 269, 5400, 276, 3766, 3732, 540, 7423, 568, 3773, 547, 476, 1839, 269, 876, 20853, 540, 476, 271, 269, 276, 1724, 272, 631, 918, 15121, 269, 2991, 18682, 517, 2305, 568, 2347, 519, 4430, 918, 15121, 568, 1394, 5707, 3603, 609, 476, 1015, 269, 2918, 20853, 540, 476, 271, 269, 4335, 271, 631, 670, 5141, 269, 1548, 568, 519, 18682, 517, 2305, 1297, 585, 713, 3732, 540, 7423, 2496, 2537, 269, 589, 476, 7742, 269, 271, 2173, 326, 3732, 540, 606, 5214, 4617, 3679, 568, 15702, 538, 606, 3617, 19857, 543, 5707, 3603, 609, 476, 271, 269, 271, 4649, 277, 631, 10878, 15121, 267, 8506, 476, 3953, 269, 6812, 20853, 547, 3914, 519, 1439, 1448, 269, 14419, 519, 7623, 779, 6697, 2597, 780, 2190, 269, 7612, 476, 280, 269, 5325, 2982, 513, 1494, 11230, 6248, 5707, 1674, 7455, 585, 513, 476, 271, 269, 25396, 271, 3766, 3732, 540, 513, 29881, 11254, 3679, 602, 729, 15702, 538, 476, 2004, 269, 876, 20853, 540, 1216, 543, 5707, 3603, 609, 476, 271, 269, 9818, 277, 631, 10878, 15121, 269, 10576, 519, 11254, 3679, 689, 519, 7399, 7396, 538, 519, 1739, 3349, 780, 11254, 3679, 4542, 2597, 630, 326, 8276, 565, 264, 18087, 620, 29516, 476, 8660, 269, 272, 476, 272, 269, 3607, 6398, 476, 1015, 1700, 1015, 25026, 710, 476, 4037, 269, 272, 476, 272, 269, 6858, 6398, 476, 1015, 1700, 1015, 8715, 542, 710, 476, 14983, 269, 273, 476, 279, 269, 280, 6398, 476, 1015, 1700, 1015, 512, 4768, 710, 476, 10219, 269, 273, 476, 272, 269, 279, 6398, 476, 1015, 1700, 280, 607, 1706, 2602, 476, 5611, 476, 272, 269, 280, 6398, 476, 1015, 1700, 280, 682, 1075, 710, 476, 14530, 269, 273, 476, 272, 269, 8064, 6398, 476, 1015, 1700, 1015, 4307, 2643, 23750, 710, 476, 14917, 269, 273, 476, 275, 269, 280, 6398, 476, 1015, 1700, 1015, 1130, 710, 476, 14056, 269, 273, 476, 272, 269, 11011, 6398, 476, 1015, 1700, 1015, 692, 8201, 476, 280, 269, 5325, 25315, 1674, 7455, 585, 9046, 476, 280, 269, 2190, 780, 1839, 269, 4635, 922, 5707, 1674, 7455, 267, 3313, 519, 3679, 4744, 27937, 3586, 585, 519, 4617, 3679, 538, 1966, 476, 280, 269, 277, 780, 2918, 269, 7316, 538, 519, 4336, 540, 4238, 798, 519, 2890, 339, 527, 1674, 2553, 5941, 538, 3296, 476, 280, 289, 269, 278, 4866, 2496, 2767, 269, 1323, 3679, 1700, 19668, 5707, 1674, 949, 581, 1031, 547, 3313, 606, 2555, 974, 779, 6121, 6697, 2597, 267, 855, 621, 666, 711, 581, 1031, 547, 3313, 922, 6121, 4542, 2597, 269, 11512, 1946, 780, 2764, 269, 20497, 11067, 14614, 568, 5111, 476, 1789, 1700, 2412, 260, 530, 11320, 10878, 273, 4596, 274, 269, 2290, 5650, 585, 519, 11050, 2079, 540, 11067, 14614, 3568, 519, 1739, 5528, 1384, 9558, 2536, 606, 5111, 476, 275, 3766, 3732, 540, 519, 11067, 14614, 547, 513, 476, 7742, 2173, 299, 2019, 636, 13011, 1166, 2532, 269, 19837, 9876, 519, 3732, 538, 827, 476, 1911, 20853, 540, 670, 273, 302, 543, 1287, 32561, 547, 519, 1665, 269, 4635, 513, 10398, 564, 267, 4483, 513, 476, 1839, 2173, 299, 620, 1172, 582, 540, 713, 3070, 547, 513, 476, 10219, 2173, 299, 8210, 6352, 1889, 9807, 1166, 2532, 267, 543, 1039, 476, 1839, 2173, 299, 540, 670, 273, 302, 543, 476, 273, 12772, 540, 28538, 665, 637, 565, 3039, 13525, 269, 25315, 3433, 519, 3732, 609, 476, 271, 269, 272, 631, 670, 5141, 547, 519, 13525, 779, 1439, 1448, 780, 1432, 12381, 267, 952, 1022, 267, 616, 2556, 952, 596, 1616, 547, 3082, 713, 5650, 547, 6218, 519, 19454, 540, 5010, 10878, 273, 4596, 274, 602, 568, 3436, 7176, 260, 6986, 2496, 3066, 269, 589, 3099, 540, 9836, 543, 4351, 6959, 616, 2009, 950, 3044, 1944, 513, 3070, 540, 10878, 15121, 1996, 519, 3119, 4617, 3679, 3044, 11379, 7250, 943, 11209, 622, 630, 298, 27426, 1040, 10576, 267, 609, 24134, 267, 2436, 519, 1739, 616, 9836, 610, 4351, 2959, 540, 5470, 267, 610, 952, 789, 723, 1100, 1198, 269, 1403, 519, 5470, 568, 9836, 267, 1287, 5815, 2436, 519, 4603, 958, 5462, 24855, 640, 585, 10878, 15121, 568, 1932, 1164, 610, 1932, 1970, 269, 634, 32301, 5114, 568, 692, 7445, 576, 346, 290, 318, 279, 295, 318, 276, 302, 318, 275, 28260, 12917, 26698, 264, 10954, 9507, 346, 15121, 28260, 12917, 26698, 9385, 21375, 1422, 9507, 346, 290, 318, 279, 295, 318, 275, 302, 318, 275, 3867, 273, 268, 3686, 263, 26698, 264, 10954, 9507, 346, 295, 318, 273, 302, 12917, 331, 22491, 5416, 264, 634, 3666, 1031, 547, 9260, 918, 27426, 568, 711, 5265, 26215, 730, 543, 2141, 14509, 476, 271, 269, 1428, 575, 1932, 1970, 780, 6357, 264, 634, 13525, 585, 519, 5707, 1674, 2242, 2681, 1063, 513, 9063, 540, 476, 274, 1700, 275, 780, 6262, 264, 1323, 2011, 19389, 267, 799, 568, 25778, 3022, 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 ]
[ 0, 3519, 11437, 540, 7943, 883, 10173, 543, 17846, 540, 27643, 2916, 1689, 616, 2462, 3621, 2591, 269, 12164, 291, 3036, 9607, 1312, 540, 873, 676, 3384, 3810, 3608, 3859, 12454, 7503, 540, 2910, 273, 883, 10173, 543, 3773, 17032, 6464, 563, 2171, 15974, 513, 6337, 24678, 3926, 1500, 540, 1079, 735, 25902, 630, 320, 264, 513, 2584, 29741, 10635, 8707, 1591, 602, 10943, 1080, 1216, 543, 2910, 273, 543, 12958, 5135, 543, 861, 978, 553, 267, 513, 7848, 540, 670, 273, 543, 2910, 282, 630, 321, 264, 513, 630, 874, 9369, 264, 516, 18503, 602, 17838, 861, 978, 553, 883, 8715, 12935, 543, 3897, 996, 1803, 750, 630, 291, 10933, 1070, 3842, 1979, 1922, 23341, 26945, 27857, 269, 634, 6069, 22606, 1935, 6087, 1114, 19383, 4470, 593, 519, 3077, 1587, 269, 634, 16617, 1184, 568, 711, 3908, 547, 744, 273, 2504, 267, 855, 14122, 20841, 543, 1507, 5214, 6675, 267, 971, 607, 476, 273, 267, 276, 1922, 3120, 526, 545, 541, 7901, 344, 997, 3679, 267, 6508, 689, 519, 16617, 540, 1970, 21057, 543, 3362, 2139, 840, 15479, 832, 899, 6070, 1216, 610, 4568, 6508, 13947, 267, 6606, 269, 14146, 539, 2326, 786, 581, 5833, 998, 1970, 1648, 270, 1970, 2837, 11507, 267, 5631, 1759, 593, 6632, 3114, 5773, 267, 971, 607, 1151, 3766, 601, 7998, 267, 7646, 8652, 31516, 3157, 267, 6850, 23755, 3157, 693, 19355, 2837, 269, 21984, 2326, 270, 2181, 15479, 832, 786, 711, 581, 3908, 676, 8244, 593, 513, 2518, 4336, 267, 1818, 946, 540, 5214, 2249, 267, 13339, 267, 3618, 10731, 4496, 27911, 267, 1101, 4737, 5912, 8407, 269, 634, 3803, 3077, 568, 513, 2407, 454, 31688, 657, 24678, 3926, 609, 476, 279, 260, 3859, 3562, 1606, 344, 978, 553, 543, 476, 277, 260, 3859, 3562, 5937, 10933, 31931, 609, 1614, 15065, 2195, 6024, 9205, 5106, 269, 901, 4564, 513, 1804, 3356, 609, 2463, 547, 519, 1533, 540, 519, 1148, 543, 3340, 606, 3486, 5698, 543, 513, 23499, 1935, 267, 799, 26779, 6791, 538, 6289, 558, 17467, 7041, 543, 1915, 5314, 676, 1766, 18372, 22794, 543, 21655, 267, 24267, 543, 26945, 3032, 4519, 267, 2584, 17190, 270, 31688, 29741, 10635, 13511, 267, 623, 4488, 4702, 543, 4879, 540, 519, 2825, 543, 8739, 20300, 1764, 540, 519, 6069, 2029, 267, 1519, 1272, 4783, 4879, 563, 28158, 20985, 18768, 0, 1692, 547, 7827, 519, 4303, 538, 634, 11261, 4635, 10084, 888, 763, 10084, 25038, 1362, 630, 329, 6072, 269, 583, 559, 5861, 531, 9725, 264, 568, 513, 1360, 5363, 543, 4052, 1362, 585, 22392, 7389, 543, 2053, 538, 10084, 269, 3371, 267, 594, 3513, 1397, 596, 875, 547, 1689, 519, 4266, 543, 942, 1210, 519, 11706, 1362, 563, 7476, 2221, 781, 4266, 543, 942, 1210, 513, 11706, 3890, 1362, 1505, 563, 27087, 519, 4266, 610, 942, 593, 513, 11706, 563, 1607, 2347, 2707, 3009, 9727, 875, 547, 1689, 519, 4266, 543, 942, 538, 10084, 563, 2260, 11711, 2012, 281, 11261, 11742, 2419, 4474, 12459, 6072, 454, 303, 6974, 11261, 5384, 568, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1240, 281, 1428, 281, 2918, 17006, 835, 1554, 547, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1428, 476, 1240, 281, 1428, 281, 2918, 17006, 835, 3923, 547, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 6349, 270, 1691, 476, 1240, 281, 1428, 281, 2918, 17006, 835, 1032, 547, 519, 1459, 4266, 2433, 476, 1708, 275, 270, 4905, 270, 1691, 476, 1240, 281, 1428, 281, 2918, 17006, 835, 5662, 547, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 866, 281, 1428, 281, 2918, 17006, 835, 8792, 547, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1240, 281, 1626, 281, 2918, 17006, 835, 2034, 547, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1240, 281, 1428, 281, 2767, 16265, 24219, 835, 1554, 689, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1724, 476, 1240, 281, 1428, 281, 2918, 16265, 24219, 835, 3923, 689, 519, 1459, 4266, 2433, 476, 1708, 273, 270, 1321, 270, 1691, 476, 1240, 281, 1428, 281, 2918, 16265, 24219, 835, 1032, 689, 519, 1459, 4266, 2433, 476, 1708, 273, 270, 4905, 270, 1691, 476, 1240, 281, 1428, 281, 2918, 16265, 24219, 835, 5662, 689, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1704, 281, 1428, 281, 2918, 16265, 24219, 835, 8792, 689, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1240, 281, 1691, 281, 2918, 16265, 24219, 835, 2034, 689, 519, 1459, 4266, 2433, 476, 1708, 274, 270, 4905, 270, 1691, 476, 1240, 281, 1428, 281, 1839, 454, 9202, 13445, 297, 6072, 1635, 974, 289, 4428, 518, 12025, 0, 292, 2310, 543, 4264, 11288, 568, 4105, 547, 519, 6024, 2208, 540, 519, 2518, 4346, 267, 855, 8449, 1058, 581, 5059, 593, 2825, 4027, 267, 1942, 13716, 4369, 543, 519, 11865, 540, 606, 1648, 3608, 543, 2922, 3560, 540, 5370, 1472, 519, 1158, 1496, 272, 454, 4940, 2859, 982, 20430, 476, 1626, 18265, 540, 5370, 616, 25855, 2066, 3486, 10665, 1142, 1032, 267, 476, 3445, 260, 540, 799, 616, 16487, 676, 4262, 267, 2016, 602, 621, 568, 835, 540, 519, 10464, 652, 1797, 540, 6283, 1496, 273, 454, 4940, 6820, 694, 1987, 928, 4123, 5170, 547, 1332, 1496, 274, 454, 4940, 4014, 972, 814, 1044, 1713, 3356, 538, 5499, 3435, 547, 3059, 1125, 9635, 267, 972, 568, 1869, 513, 21341, 593, 1480, 2200, 538, 2474, 540, 5883, 519, 6928, 267, 9013, 960, 3157, 543, 5539, 585, 2357, 4328, 519, 960, 593, 4580, 6928, 269, 769, 1840, 267, 621, 568, 1271, 547, 4063, 602, 11288, 543, 17535, 3560, 666, 2014, 606, 10373, 2179, 540, 5533, 267, 799, 666, 11874, 1764, 519, 7286, 1604, 1496, 275, 454, 5278, 1806, 1331, 912, 291, 19342, 9817, 602, 666, 2014, 2011, 5533, 3248, 296, 331, 29729, 546, 18804, 540, 1022, 2186, 540, 3653, 602, 568, 3812, 3232, 593, 9635, 538, 2127, 1141, 621, 568, 19275, 547, 798, 865, 3248, 11514, 8408, 540, 18535, 21225, 1310, 11067, 18535, 13688, 1369, 4262, 2127, 1141, 621, 568, 19275, 543, 3248, 306, 7331, 532, 540, 12362, 12748, 2249, 3842, 3440, 770, 1216, 563, 303, 32123, 15670, 723, 8045, 3800, 547, 11574, 519, 2825, 4220, 543, 1118, 11288, 10930, 267, 811, 13476, 7874, 543, 4264, 269, 24727, 543, 3652, 8045, 593, 23593, 9635, 616, 606, 1383, 540, 2318, 3527, 602, 11441, 2509, 3039, 11288, 269, 10466, 540, 519, 7286, 1604, 689, 6928, 5533, 814, 1044, 6444, 676, 519, 13149, 5113, 10466, 9730, 630, 6573, 4488, 264, 540, 519, 4139, 31845, 9257, 630, 8379, 302, 264, 543, 3652, 543, 6042, 616, 4843, 538, 519, 4139, 13482, 585, 519, 10644, 540, 21694, 689, 590, 4721, 630, 300, 2752, 303, 5357, 264, 1496, 276, 454, 4940, 2368, 9381, 2829, 723, 8045, 741, 1378, 3652, 267, 538, 1840, 547, 519, 594, 19616, 3652, 267, 543, 741, 8128, 723, 6170, 1713, 2179, 540, 942, 7421, 5638, 593, 4604, 9635, 269, 1703, 568, 513, 991, 585, 9381, 2829, 547, 6895, 519, 2534, 540, 9635, 538, 1483, 942, 267, 1354, 789, 4283, 519, 19275, 546, 18804, 2127, 269, 1358, 991, 2139, 11215, 2645, 547, 11126, 741, 20104, 563, 1103, 1840, 267, 2594, 5329, 1369, 3486, 4441, 267, 24476, 543, 4756, 10873, 723, 13840, 5116, 513, 1713, 11411, 593, 1212, 9749, 269, 6684, 267, 1082, 4810, 5234, 723, 711, 4607, 7850, 543, 5812, 2866, 3823, 519, 1034, 1699, 543, 909, 3562, 15082, 2409, 543, 6397, 1083, 1734, 269, 3509, 2042, 723, 7018, 1813, 547, 519, 4687, 540, 1344, 267, 11558, 543, 2792, 267, 3375, 6194, 543, 942, 2359, 267, 799, 814, 2799, 519, 24913, 540, 782, 6105, 267, 3056, 547, 1480, 5470, 267, 543, 2870, 2949, 10539, 1644, 547, 519, 6105, 3238, 543, 741, 9021, 563, 763, 6283, 2872, 568, 538, 991, 540, 3059, 1944, 922, 4238, 267, 4481, 1644, 547, 519, 1344, 4687, 269, 2290, 540, 519, 3435, 568, 519, 6165, 540, 1007, 4066, 267, 1519, 667, 299, 307, 2029, 630, 21720, 569, 5219, 547, 607, 9893, 2029, 1070, 799, 2636, 1239, 4687, 547, 1118, 8852, 267, 14123, 1239, 8928, 547, 1847, 2047, 1063, 6105, 538, 513, 3810, 5150, 6073, 1496, 273, 454, 4940, 26402, 540, 751, 9893, 666, 2333, 519, 11413, 267, 4398, 543, 5464, 540, 1239, 7133, 2011, 543, 1216, 5533, 1496, 278, 454, 3080, 851, 540, 519, 2942, 2825, 1764, 540, 11288, 267, 12077, 18977, 11166, 540, 15454, 1216, 936, 4580, 267, 1223, 581, 17515, 609, 519, 4367, 540, 28102, 19883, 540, 782, 3527, 269, 4014, 9893, 2029, 568, 2907, 8045, 538, 930, 12415, 540, 11288, 267, 899, 519, 3915, 540, 561, 8172, 267, 621, 1223, 581, 7550, 543, 9168, 2687, 547, 519, 1935, 4867, 4294, 676, 1114, 17825, 3435, 1496, 1015, 454, 1103, 713, 1957, 267, 519, 4589, 1459, 519, 946, 540, 9893, 2029, 547, 2087, 8060, 543, 6338, 12957, 540, 519, 1184, 540, 5464, 519, 11166, 540, 1022, 1826, 540, 3653, 936, 4580, 23593, 9635, 269, 4595, 519, 11166, 540, 15860, 15454, 1216, 936, 4580, 538, 19275, 2127, 666, 2014, 2825, 2800, 267, 519, 991, 585, 1732, 8060, 538, 713, 1858, 568, 4922, 6444, 269, 634, 3498, 540, 9893, 2029, 538, 1931, 547, 3895, 13476, 7874, 11288, 568, 1031, 607, 606, 1383, 540, 519, 4276, 609, 6820, 19024, 532, 3590, 630, 294, 4916, 264, 2594, 2921, 543, 267, 4061, 267, 1022, 8969, 607, 547, 519, 12936, 2127, 786, 581, 14284, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 713, 2029, 666, 581, 4294, 538, 3875, 824, 2127, 540, 11288, 4238, 269, 898, 666, 2087, 519, 1184, 1852, 543, 5512, 1239, 2095, 538, 1483, 942, 543, 865, 2333, 3354, 1996, 6354, 2827, 538, 10916, 563, 2026, 538, 1022, 6932, 2029, 267, 972, 616, 2640, 543, 9993, 585, 519, 6388, 540, 9893, 543, 667, 299, 307, 2029, 269, 6969, 519, 6388, 851, 540, 713, 1957, 267, 649, 723, 547, 2626, 519, 1739, 2055, 281, 1946, 798, 649, 991, 1732, 3070, 3079, 540, 519, 4540, 835, 267, 875, 666, 649, 5838, 2640, 610, 2189, 1719, 585, 782, 6105, 538, 519, 9893, 267, 945, 2115, 547, 723, 1569, 547, 1344, 630, 6135, 24071, 610, 10479, 539, 1569, 1070, 1018, 568, 519, 4110, 540, 32398, 543, 519, 2179, 540, 1344, 799, 616, 2469, 547, 581, 3838, 267, 945, 568, 4847, 547, 1683, 10350, 540, 519, 1062, 1496, 1015, 454, 4940, 9453, 6284, 543, 8622, 8540, 540, 782, 2640, 1851, 6105, 267, 2523, 1346, 945, 723, 519, 5207, 10862, 1719, 267, 713, 2029, 786, 711, 581, 4628, 7608, 538, 17535, 2872, 269, 769, 1931, 547, 1459, 513, 1732, 3070, 585, 938, 1383, 267, 649, 723, 2808, 782, 891, 2055, 269, 769, 1840, 547, 16460, 519, 968, 6343, 892, 543, 968, 25585, 892, 2055, 267, 4589, 786, 849, 2285, 606, 2626, 547, 519, 968, 6011, 892, 2243, 1496, 1556, 454, 4940, 8745, 569, 267, 519, 1957, 2488, 606, 5813, 883, 6165, 543, 3498, 540, 9893, 2029, 538, 11288, 585, 519, 3483, 540, 1604, 4027, 563, 1607, 1957, 568, 6896, 607, 5205, 269, 769, 8791, 476, 273, 454, 267, 667, 299, 307, 610, 9893, 2029, 568, 5189, 269, 8791, 476, 274, 454, 534, 3315, 8240, 3105, 1382, 267, 543, 8791, 476, 275, 454, 26078, 757, 513, 2013, 1353, 1644, 547, 519, 1852, 540, 936, 4580, 11166, 267, 609, 513, 6881, 540, 6105, 3238, 543, 513, 4264, 5832, 3060, 269, 769, 8791, 476, 276, 454, 267, 649, 1865, 519, 2956, 540, 9893, 2029, 563, 273, 269, 20518, 3176, 27439, 3455, 5303, 454, 18850, 30744, 24432, 2029, 267, 849, 1634, 607, 9893, 2029, 267, 1101, 6591, 8560, 607, 513, 3760, 585, 5883, 11670, 267, 513, 3059, 15170, 1496, 1015, 454, 4940, 769, 476, 1220, 279, 267, 9045, 25493, 26981, 600, 9369, 5189, 519, 1101, 8569, 1062, 19229, 8314, 2861, 593, 9893, 2029, 1496, 1691, 454, 4940, 769, 713, 1957, 267, 519, 4589, 1031, 645, 6311, 607, 606, 27099, 585, 9893, 2029, 269, 645, 6311, 568, 3989, 607, 513, 3838, 667, 299, 307, 602, 16881, 519, 1184, 540, 10916, 1496, 1704, 454, 4940, 634, 645, 6311, 568, 513, 1184, 799, 17337, 519, 1239, 538, 1483, 942, 883, 9136, 267, 799, 616, 17956, 998, 2189, 25563, 6620, 547, 2327, 7834, 543, 3354, 1496, 1240, 454, 4940, 1306, 13890, 676, 1496, 866, 454, 3910, 645, 6311, 568, 519, 1034, 3532, 7856, 6538, 267, 799, 568, 16922, 540, 2516, 540, 1239, 543, 1344, 7161, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7775, 4647, 938, 813, 834, 10817, 3660, 16497, 676, 4065, 2593, 257, 593, 707, 3926, 781, 813, 4558, 563, 25440, 16362, 256, 589, 7335, 10794, 454, 3674, 707, 9224, 28077, 909, 286, 1684, 596, 723, 513, 7745, 23179, 286, 29892, 4387, 568, 711, 1152, 1187, 267, 621, 781, 849, 513, 1259, 547, 4001, 3214, 827, 519, 2694, 540, 519, 1560, 543, 875, 789, 616, 25250, 269, 3245, 17094, 956, 547, 8405, 7633, 267, 707, 1126, 666, 2259, 2542, 1007, 1913, 1247, 1565, 2241, 14169, 269, 634, 1655, 851, 568, 1352, 4991, 547, 581, 513, 4387, 630, 23719, 1256, 2469, 547, 2564, 1153, 1040, 2060, 596, 607, 1200, 5172, 3461, 267, 707, 1126, 666, 13209, 543, 1451, 547, 1224, 782, 519, 1114, 2694, 540, 519, 1560, 267, 689, 519, 1688, 547, 519, 2295, 269, 0, 12831, 1833, 568, 835, 540, 519, 1034, 1455, 543, 7199, 2790, 4713, 267, 28428, 269, 634, 1353, 5258, 18884, 883, 1614, 2085, 2516, 281, 476, 1240, 268, 4510, 267, 476, 3393, 268, 5038, 543, 476, 4792, 610, 4587, 269, 3631, 540, 3119, 1416, 547, 2087, 519, 4093, 1851, 18884, 4299, 676, 563, 30606, 631, 3437, 901, 3561, 949, 581, 1336, 1934, 454, 10403, 12870, 26744, 569, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 21801, 476, 1626, 267, 476, 1001, 278, 269, 4014, 11980, 7972, 1860, 3592, 782, 2085, 2516, 267, 1346, 9907, 476, 2412, 547, 476, 6795, 269, 12870, 568, 519, 1034, 1455, 4576, 1851, 1346, 945, 5884, 689, 563, 1492, 2085, 1895, 540, 4079, 2085, 476, 1428, 268, 4510, 2907, 2348, 6603, 602, 1377, 630, 21766, 267, 634, 11984, 1063, 7099, 543, 1860, 568, 3006, 23324, 543, 519, 2474, 616, 563, 13480, 1504, 14539, 267, 5549, 269, 5851, 540, 519, 10515, 532, 9697, 543, 8805, 595, 2100, 8584, 2000, 582, 4518, 1504, 14539, 267, 5549, 269, 5851, 540, 519, 10515, 532, 9697, 543, 8805, 595, 2100, 8584, 2000, 582, 454, 12831, 1833, 25966, 645, 13633, 594, 328, 476, 5400, 269, 6021, 269, 1001, 275, 5788, 1411, 666, 2047, 1489, 9197, 1662, 6092, 693, 5291, 2517, 4178, 16553, 321, 762, 2593, 11305, 337, 1662, 322, 6847, 4427, 18285, 585, 607, 2370, 607, 1269, 271, 547, 1832, 909, 609, 269, 4658, 4043, 547, 1589, 540, 645, 13633, 594, 607, 1373, 968, 342, 16017, 892, 982, 645, 13633, 4083, 269, 769, 5717, 827, 713, 267, 890, 6955, 269, 6168, 17299, 4524, 630, 2006, 545, 4965, 264, 645, 13633, 4524, 568, 27537, 676, 14501, 540, 2620, 4965, 4553, 676, 812, 807, 269, 634, 454, 548, 12069, 610, 3928, 540, 4965, 1851, 17804, 2085, 1071, 268, 554, 2176, 9495, 1284, 616, 5461, 269, 4162, 799, 1522, 1860, 6128, 2702, 267, 971, 607, 4316, 547, 563, 2690, 1383, 267, 4352, 670, 11679, 1860, 1647, 27070, 4079, 262, 1134, 5630, 676, 6721, 269, 634, 6364, 4632, 1705, 711, 8428, 1063, 519, 2085, 2516, 267, 4849, 585, 519, 563, 13971, 476, 2420, 267, 476, 1001, 275, 269, 12870, 568, 513, 2790, 4524, 602, 5540, 811, 982, 476, 12573, 2929, 269, 606, 2038, 2085, 1185, 547, 6560, 609, 519, 10072, 540, 4008, 3961, 2152, 2676, 29730, 1706, 4331, 5514, 1143, 2589, 281, 1164, 7513, 267, 9854, 267, 3965, 2530, 267, 21404, 267, 1970, 6171, 667, 267, 8459, 10007, 267, 4057, 12008, 267, 589, 6363, 756, 267, 1560, 31191, 267, 543, 1866, 563, 19878, 476, 1015, 267, 476, 1001, 278, 269, 11683, 3493, 4809, 13081, 2052, 10705, 581, 7066, 730, 585, 14568, 10866, 540, 5020, 269, 519, 11667, 2085, 585, 519, 12614, 540, 2101, 4965, 568, 2085, 476, 3953, 267, 607, 4080, 676, 269, 616, 25409, 4299, 676, 2101, 4965, 538, 6476, 547, 269, 21911, 267, 11504, 1489, 2516, 610, 513, 4999, 540, 891, 5574, 1848, 563, 12831, 1833, 568, 1455, 538, 11361, 4079, 267, 855, 621, 3884, 1406, 3339, 269, 5680, 13270, 6941, 519, 4191, 540, 4965, 538, 707, 10172, 6068, 835, 543, 1114, 2126, 3681, 563, 4037, 260, 540, 772, 2529, 269, 23467, 2552, 3133, 730, 609, 932, 331, 867, 2033, 269, 1715, 1382, 2982, 602, 1004, 2713, 538, 5321, 3710, 1354, 4989, 540, 476, 2735, 279, 616, 1034, 2693, 7244, 519, 563, 763, 14655, 3032, 630, 25324, 1014, 281, 476, 406, 363, 14507, 24220, 20901, 18457, 17262, 14507, 8294, 14180, 17262, 32020, 2041, 7054, 5889, 14269, 264, 568, 513, 1279, 3620, 8529, 9742, 540, 3032, 6353, 676, 922, 5180, 3068, 543, 2110, 18665, 14794, 269, 898, 568, 849, 563, 763, 1905, 626, 30615, 269, 9612, 938, 1863, 5084, 8150, 4759, 15682, 540, 13931, 2790, 1072, 7426, 945, 20647, 538, 4160, 4713, 267, 4965, 267, 24753, 267, 17971, 563, 15037, 476, 278, 267, 476, 1001, 274, 269, 13262, 2157, 585, 1034, 4892, 616, 9991, 1107, 855, 711, 1851, 519, 7085, 27812, 5108, 267, 6502, 476, 1240, 268, 3451, 269, 8479, 4079, 849, 1867, 811, 4965, 563, 13233, 2790, 1072, 17493, 281, 1344, 267, 2533, 1299, 513, 2178, 5639, 585, 3025, 4299, 676, 2790, 4576, 1107, 4101, 8456, 543, 4657, 2729, 563, 2041, 3219, 19990, 8992, 1434, 2790, 1072, 267, 8214, 956, 16663, 543, 7130, 267, 543, 2488, 1489, 543, 1344, 593, 4160, 267, 4965, 543, 11980, 547, 563, 21196, 1310, 1554, 267, 4965, 5540, 707, 4555, 267, 4606, 267, 2168, 1072, 543, 269, 1981, 585, 11980, 1851, 782, 2085, 543, 4008, 2516, 630, 10890, 4516, 267, 476, 1220, 273, 1916, 24464, 543, 2021, 6502, 476, 1839, 547, 476, 4510, 723, 519, 5207, 12136, 540, 4965, 609, 519, 11361, 2551, 1373, 519, 1985, 5207, 2085, 1895, 4299, 563, 6097, 547, 2101, 12220, 267, 2101, 19591, 4524, 5540, 5176, 476, 1428, 2929, 269, 2188, 949, 849, 1860, 519, 1646, 540, 4965, 538, 6690, 538, 713, 2085, 1895, 563, 3963, 1305, 909, 1489, 2516, 286, 968, 296, 4941, 547, 1294, 824, 1004, 609, 7486, 269, 1284, 6591, 4222, 1175, 689, 6616, 1142, 824, 892, 7486, 1489, 1895, 16045, 563, 12831, 1833, 568, 519, 1034, 4749, 7307, 2790, 1072, 1966, 585, 1762, 269, 543, 476, 272, 538, 476, 1015, 8951, 540, 519, 1482, 2085, 786, 723, 513, 19591, 4524, 630, 272, 267, 273, 1040, 7306, 538, 519, 2110, 3856, 585, 519, 946, 540, 1895, 610, 1367, 5042, 2623, 3797, 630, 275, 563, 1692, 547, 2995, 952, 596, 723, 4965, 269, 12870, 5540, 1004, 538, 1114, 2081, 543, 666, 2014, 513, 2647, 3099, 540, 2589, 269, 1358, 2039, 689, 9434, 4606, 540, 563, 22261, 476, 276, 267, 476, 1001, 274, 269, 4658, 4299, 676, 4965, 6336, 1719, 538, 519, 2238, 789, 1031, 547, 269, 9038, 543, 8951, 267, 476, 1960, 271, 267, 476, 1220, 276, 267, 476, 1001, 271, 267, 543, 476, 736, 1114, 2085, 2516, 563, 12914, 476, 2767, 267, 476, 1001, 274, 269, 12870, 267, 1498, 3622, 8398, 21288, 267, 2164, 538, 9434, 9659, 267, 11605, 267, 543, 11411, 269, 14904, 2066, 2647, 2085, 2039, 267, 3872, 2157, 267, 1114, 269, 4039, 1049, 8647, 267, 1373, 519, 1034, 4299, 6389, 267, 1058, 581, 563, 9690, 4965, 269, 12870, 666, 28148, 1860, 519, 1576, 543, 6364, 540, 1455, 269, 4849, 602, 476, 866, 268, 269, 476, 2190, 1032, 31545, 4080, 621, 811, 982, 824, 2085, 2516, 563, 12831, 1833, 568, 9425, 1455, 543, 568, 2219, 547, 1860, 835, 538, 4557, 1004, 693, 930, 269, 2963, 267, 519, 3928, 941, 2362, 585, 8951, 982, 585, 9038, 538, 782, 2085, 2516, 563, 763, 27496, 540, 4965, 814, 1044, 6594, 2066, 519, 10600, 269, 12870, 568, 513, 2101, 2014, 540, 24896, 5001, 267, 607, 519, 27496, 814, 3254, 563, 16987, 27624, 1126, 543, 2937, 4791, 18673, 538, 15113, 8664, 269, 5192, 11285, 948, 585, 2489, 2213, 4160, 267, 7099, 267, 15970, 543, 824, 2790, 1072, 563, 15239, 4211, 27112, 5453, 520, 11576, 6638, 269, 2368, 1004, 1995, 2589, 1336, 538, 524, 27112, 2068, 267, 971, 607, 968, 325, 690, 4445, 2247, 5608, 4965, 267, 11838, 6438, 2623, 267, 14159, 563, 9596, 827, 4965, 2589, 538, 2367, 267, 2021, 267, 14038, 267, 543, 1453, 269, 9578, 267, 1224, 827, 2126, 267, 6527, 543, 2427, 2360, 267, 3123, 267, 543, 5868, 563, 1607, 2985, 3091, 9568, 15000, 1217, 7159, 517, 3823, 7231, 609, 519, 3929, 5540, 540, 519, 2680, 269, 12989, 596, 786, 1265, 5583, 593, 9301, 519, 563, 5415, 12870, 15080, 4429, 268, 10435, 14886, 1411, 5620, 12870, 281, 12870, 666, 723, 922, 22705, 543, 17498, 269, 1403, 2576, 814, 6456, 610, 3768, 328, 30938, 4965, 267, 789, 1522, 3100, 899, 789, 1205, 4351, 7099, 23638, 267, 4470, 593, 952, 741, 4965, 568, 5812, 610, 711, 269, 1677, 596, 630, 663, 547, 873, 267, 952, 789, 616, 3768, 328, 30938, 1070, 519, 1689, 2483, 268, 10076, 29520, 1656, 12870, 281, 2608, 270, 5753, 781, 12870, 6744, 4289, 3213, 31507, 2590, 15136, 543, 12870, 1546, 2718, 609, 9615, 15033, 12870, 281, 1548, 547, 1684, 1879, 9615, 6496, 333, 1405, 1530, 655, 547, 4518, 269, 898, 4667, 602, 4892, 616, 538, 519, 22984, 540, 513, 986, 3101, 15435, 540, 2790, 24924, 2483, 268, 14168, 17778, 1677, 5192, 4934, 2986, 12870, 281, 1215, 547, 19468, 12870, 281, 14210, 17778, 547, 595, 675, 12870, 910, 28632, 7160, 676, 9291, 22413, 578, 749, 269, 8281, 621, 2899, 543, 1224, 621, 593, 707, 28632, 3926, 267, 7193, 267, 11436, 610, 14342, 269, 2422, 2934, 899, 1433, 12201, 267, 4063, 2921, 543, 10223, 1247, 2542, 1215, 547, 19468, 3493, 2483, 268, 18127, 10266, 1656, 12870, 10803, 281, 1496, 655, 5523, 12682, 316, 2260, 4178, 28938, 2593, 270, 655, 5523, 270, 22535, 655, 5523, 12682, 316, 1323, 7650, 540, 519, 2078, 1063, 5312, 1928, 543, 4965, 267, 1519, 4191, 267, 2589, 543, 7840, 585, 12003, 267, 1879, 596, 723, 5312, 1928, 267, 1272, 666, 581, 2352, 547, 4383, 269, 1411, 798, 711, 1745, 649, 2483, 268, 932, 13238, 1656, 769, 657, 20738, 12870, 281, 9484, 476, 2764, 267, 476, 1220, 280, 5788, 594, 4312, 1044, 20171, 538, 824, 16060, 827, 519, 1967, 594, 4312, 1044, 2348, 13948, 609, 2834, 769, 657, 20738, 9360, 19610, 609, 932, 13238, 269, 594, 4312, 1044, 2921, 1312, 2094, 519, 1439, 540, 2063, 1032, 543, 723, 281, 910, 23452, 476, 8618, 331, 2125, 910, 23452, 10759, 2483, 268, 1546, 2718, 2060, 12870, 2991, 589, 12280, 281, 12870, 20154, 7073, 3203, 17593, 20309, 1143, 269, 634, 8789, 7499, 3350, 538, 519, 476, 3707, 271, 338, 543, 476, 4198, 271, 338, 267, 17593, 20309, 1143, 729, 519, 1101, 547, 1747, 1715, 3840, 4975, 693, 519, 21282, 540, 3486, 2413, 1148, 269, 901, 11972, 4015, 540, 1000, 550, 1862, 0, 1911, 260, 17214, 538, 3013, 1977, 4469, 4711, 1472, 654, 7867, 8121, 476, 278, 2767, 10602, 454, 288, 3084, 12835, 602, 4422, 676, 519, 4408, 968, 763, 25578, 543, 22367, 6647, 5608, 968, 24874, 3794, 800, 5608, 543, 849, 968, 763, 10060, 4149, 335, 22931, 14465, 1676, 5608, 519, 1977, 9206, 568, 835, 540, 519, 5393, 1134, 8153, 4191, 538, 519, 1158, 2221, 269, 634, 1977, 25035, 568, 519, 3791, 9510, 540, 519, 2817, 11621, 540, 519, 8608, 1107, 4587, 3379, 547, 519, 5742, 10793, 540, 6628, 610, 519, 570, 878, 565, 528, 540, 5333, 563, 8005, 2813, 519, 1977, 25035, 888, 17780, 593, 7986, 8941, 267, 519, 1360, 1101, 1977, 9206, 729, 694, 14954, 676, 645, 1115, 344, 17664, 267, 513, 15740, 9378, 560, 816, 945, 729, 606, 29872, 766, 540, 6723, 6115, 269, 769, 2904, 476, 10082, 277, 267, 865, 519, 9661, 4422, 267, 4937, 6115, 543, 1079, 1004, 689, 519, 25550, 6837, 10272, 17664, 693, 1200, 15081, 565, 20712, 6300, 543, 7000, 547, 1200, 513, 17250, 11768, 540, 519, 9206, 269, 6115, 693, 1101, 23163, 1818, 946, 540, 513, 5182, 609, 476, 277, 2798, 267, 17664, 6462, 585, 513, 2947, 15304, 539, 5182, 267, 799, 666, 581, 4389, 609, 3274, 835, 2656, 2879, 760, 540, 519, 23805, 267, 543, 849, 519, 9543, 5443, 941, 4465, 936, 269, 10251, 267, 12206, 723, 2760, 1185, 519, 2702, 547, 19472, 713, 8390, 540, 2621, 563, 1103, 476, 10082, 278, 267, 519, 25550, 6837, 5293, 606, 957, 602, 3177, 938, 2197, 606, 4013, 9206, 269, 769, 1346, 2395, 267, 519, 9206, 729, 711, 519, 1482, 607, 649, 1294, 621, 2221, 269, 5502, 540, 519, 476, 2004, 3043, 6801, 538, 519, 2361, 540, 4544, 267, 972, 729, 513, 5858, 540, 476, 1724, 3043, 6801, 547, 2099, 519, 476, 1724, 10125, 269, 634, 957, 7150, 267, 968, 4910, 9407, 267, 602, 519, 9206, 540, 519, 2136, 2276, 581, 24369, 26145, 267, 14595, 2699, 543, 3043, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1353, 3391, 3568, 513, 12092, 540, 522, 269, 11910, 532, 5128, 2699, 8783, 538, 513, 14810, 3014, 540, 10800, 2692, 903, 543, 967, 2103, 267, 519, 7911, 11479, 1312, 2367, 21173, 8117, 269, 594, 1224, 713, 1650, 607, 513, 1126, 328, 1175, 1224, 621, 1586, 585, 519, 1101, 942, 269, 8361, 568, 513, 2110, 1650, 827, 1079, 20737, 945, 32043, 777, 519, 5067, 540, 513, 7986, 12504, 543, 3180, 1864, 585, 26030, 269, 901, 4528, 540, 519, 26030, 540, 2699, 8783, 2882, 513, 3349, 540, 9115, 269, 1411, 917, 519, 1650, 513, 9583, 5100, 267, 1134, 2219, 856, 1544, 4422, 4625, 267, 3520, 1026, 569, 4636, 267, 543, 554, 1791, 640, 3006, 1671, 1132, 269, 634, 26030, 540, 2699, 8783, 2186, 548, 7160, 676, 29165, 267, 522, 4647, 621, 2899, 543, 1224, 621, 593, 707, 2186, 548, 3926, 267, 26099, 267, 11436, 610, 14342, 269, 634, 1292, 3197, 540, 713, 27825, 267, 2110, 2984, 1650, 616, 269, 1261, 6854, 721, 25805, 585, 1614, 3108, 267, 17259, 909, 543, 8757, 585, 1010, 29461, 543, 1085, 872, 4221, 269, 634, 4670, 3769, 519, 2941, 543, 519, 1884, 1335, 267, 519, 5587, 542, 1289, 267, 519, 2063, 6978, 267, 519, 26030, 540, 2699, 8783, 588, 18732, 535, 1042, 782, 523, 543, 522, 24249, 682, 2779, 267, 543, 519, 10516, 540, 519, 4012, 328, 563, 30875, 1921, 547, 707, 1272, 3180, 585, 26030, 723, 596, 2479, 1224, 827, 513, 26030, 610, 4862, 827, 835, 593, 8613, 269, 18838, 1472, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 519, 1650, 568, 513, 2110, 14906, 819, 540, 1018, 596, 1522, 1205, 952, 596, 18084, 1753, 4805, 269, 898, 729, 267, 607, 3915, 1310, 20758, 6829, 621, 267, 1282, 513, 4090, 540, 10151, 2790, 15457, 819, 269, 634, 942, 1974, 568, 2693, 2282, 519, 1439, 540, 519, 476, 866, 628, 2540, 610, 4098, 540, 519, 476, 736, 628, 2540, 607, 519, 2367, 616, 1210, 513, 269, 769, 519, 26030, 540, 2699, 8783, 267, 1079, 1507, 5503, 5186, 758, 338, 3957, 7663, 543, 3915, 17736, 790, 547, 563, 763, 26030, 540, 2699, 8783, 476, 1428, 649, 941, 660, 12922, 15949, 2196, 2476, 269, 1358, 4584, 909, 519, 7911, 543, 1491, 1864, 547, 513, 13946, 12404, 719, 267, 855, 972, 519, 7515, 616, 5828, 269, 8361, 521, 2110, 1650, 267, 519, 26030, 540, 2699, 8783, 267, 606, 4401, 545, 9661, 540, 513, 6760, 602, 4422, 4636, 269, 8361, 5129, 606, 1898, 1909, 538, 3384, 519, 7819, 2110, 1650, 269, 634, 26030, 540, 544, 871, 2110, 2984, 543, 5929, 3332, 269, 634, 26030, 540, 2699, 8783, 10143, 7326, 18216, 4301, 30028, 269, 8361, 1650, 543, 2838, 2542, 585, 1053, 540, 1603, 269, 1284, 6785, 602, 21895, 1223, 660, 1205, 1310, 721, 609, 4376, 6793, 982, 269, 3571, 2984, 6829, 519, 1198, 540, 14626, 2064, 593, 1915, 998, 1208, 712, 267, 1989, 574, 269, 8361, 338, 9661, 519, 26030, 540, 2699, 8783, 543, 5659, 519, 1650, 538, 2474, 540, 922, 20451, 267, 13513, 267, 543, 269, 8361, 568, 2312, 602, 519, 32043, 6260, 568, 711, 519, 1650, 338, 10747, 957, 540, 5208, 563, 25857, 24075, 19416, 2110, 2984, 616, 519, 26030, 540, 2699, 8783, 543, 1010, 28581, 5929, 519, 10516, 540, 519, 4012, 328, 269, 769, 2110, 267, 519, 2626, 568, 581, 6297, 1018, 596, 2307, 585, 269, 901, 6408, 4667, 30590, 676, 519, 6760, 543, 3533, 269, 589, 3095, 568, 3177, 1141, 2009, 585, 2653, 2228, 2542, 269, 589, 1650, 538, 799, 782, 519, 2621, 2490, 856, 4010, 607, 269, 3776, 4116, 7160, 593, 519, 26030, 540, 2699, 8783, 666, 948, 269, 6168, 519, 26030, 540, 2699, 8783, 519, 26030, 540, 2699, 8783, 5758, 269, 1284, 1459, 519, 2110, 1650, 519, 26030, 540, 2699, 8783, 676, 522, 563, 302, 29165, 729, 513, 1360, 16805, 543, 19511, 5856, 269, 634, 20451, 538, 519, 26030, 540, 2699, 8783, 8255, 2429, 519, 1650, 269, 769, 713, 2110, 1650, 513, 7911, 267, 14646, 5500, 21053, 564, 267, 568, 3144, 676, 1079, 32043, 1952, 619, 267, 7663, 543, 3915, 269, 634, 1034, 3665, 1383, 540, 621, 2501, 609, 519, 4295, 10071, 269, 898, 729, 267, 607, 3915, 26063, 6829, 621, 267, 1282, 513, 4090, 540, 10151, 2790, 15457, 819, 269, 634, 20737, 267, 3915, 543, 7663, 267, 2097, 909, 609, 519, 32043, 6260, 2856, 547, 8804, 1776, 10325, 789, 723, 538, 2247, 269, 769, 713, 3992, 267, 649, 786, 4983, 519, 6249, 267, 4655, 267, 543, 6172, 1314, 689, 522, 269, 8361, 521, 2984, 616, 1305, 538, 1010, 1378, 942, 267, 519, 2038, 476, 736, 628, 2540, 269, 634, 18792, 540, 711, 1175, 519, 1650, 521, 2856, 855, 922, 11056, 269, 9947, 476, 1321, 267, 476, 1220, 280, 649, 1459, 519, 2110, 1650, 519, 26030, 540, 2699, 8783, 676, 522, 563, 763, 18792, 540, 711, 1175, 519, 1650, 521, 2856, 855, 922, 11056, 2648, 1864, 610, 13842, 1864, 267, 522, 269, 8361, 2347, 3992, 22753, 713, 568, 513, 2347, 3992, 3640, 585, 519, 2110, 1650, 519, 26030, 540, 2699, 8783, 676, 522, 269, 634, 4505, 538, 1272, 596, 1205, 31235, 609, 1864, 267, 519, 269, 5192, 519, 3003, 519, 26030, 540, 2699, 8783, 1396, 24577, 607, 513, 7792, 7824, 269, 634, 26030, 540, 2699, 8783, 543, 824, 1863, 4647, 607, 7824, 3758, 269, 8361, 4729, 5758, 519, 26030, 540, 2699, 8783, 568, 513, 2110, 1650, 2854, 676, 7819, 5856, 13275, 861, 17036, 533, 7163, 267, 1732, 1634, 607, 522, 269, 634, 26030, 540, 2699, 8783, 2110, 1650, 676, 29165, 12766, 24628, 269, 2353, 540, 519, 6054, 616, 7369, 762, 865, 602, 596, 666, 20688, 873, 585, 707, 5301, 269, 634, 26030, 540, 2699, 8783, 568, 513, 1650, 2407, 540, 14810, 543, 1642, 4288, 269, 769, 476, 4198, 273, 267, 2261, 1176, 333, 1395, 19172, 543, 30479, 14902, 2023, 5182, 1042, 538, 522, 269, 634, 26030, 540, 2699, 8783, 6863, 2882, 513, 6863, 1592, 540, 476, 1428, 1913, 609, 8847, 689, 519, 2110, 1650, 519, 26030, 540, 2699, 8783, 676, 522, 269, 634, 1101, 7160, 540, 519, 3209, 729, 3370, 538, 23891, 4231, 476, 272, 560, 476, 5002, 278, 267, 543, 729, 2854, 676, 522, 269, 634, 26030, 540, 2699, 8783, 568, 513, 3551, 2140, 585, 513, 3551, 2239, 269, 634, 26030, 540, 2699, 8783, 2186, 548, 7160, 676, 29165, 267, 522, 563, 2467, 729, 513, 4884, 1524, 972, 267, 607, 6366, 607, 513, 3443, 322, 820, 267, 543, 1572, 21895, 269, 2755, 14646, 5500, 693, 1101, 4667, 30223, 543, 796, 1910, 5404, 24602, 267, 607, 519, 1650, 269, 1284, 941, 1524, 5045, 267, 538, 620, 629, 600, 629, 650, 1743, 4593, 3326, 543, 8885, 950, 713, 32043, 6260, 2856, 13351, 721, 269, 1284, 798, 723, 513, 2101, 5993, 8366, 3957, 1310, 1864, 585, 513, 2601, 267, 1318, 269, 8361, 519, 26030, 540, 2699, 8783, 621, 6743, 899, 513, 1434, 3364, 269, 8361, 521, 519, 26030, 540, 2699, 8783, 568, 513, 2110, 1650, 5473, 1079, 1131, 2041, 32043, 1952, 619, 267, 7663, 543, 3915, 267, 543, 741, 535, 30711, 2699, 688, 1600, 6408, 269, 898, 5205, 1079, 2367, 945, 32043, 777, 267, 543, 3747, 513, 26030, 585, 267, 513, 14547, 620, 629, 600, 2103, 5067, 563, 7197, 2962, 3217, 1747, 538, 519, 7823, 1858, 4478, 519, 6366, 4884, 540, 21895, 267, 620, 16342, 269, 2991, 6932, 689, 7890, 533, 7163, 4957, 1010, 2012, 547, 522, 269, 634, 4729, 568, 1305, 538, 5163, 950, 1079, 598, 5443, 991, 547, 6318, 2724, 547, 8804, 513, 1804, 4336, 1085, 600, 789, 616, 4058, 269, 8361, 338, 1655, 543, 1134, 1634, 2984, 607, 1134, 607, 14758, 1634, 1568, 563, 763, 7911, 568, 865, 1073, 333, 2135, 1190, 602, 519, 32043, 1952, 619, 2628, 519, 4651, 547, 1491, 519, 7911, 1394, 269, 3627, 5500, 1915, 2079, 538, 519, 26030, 540, 2699, 8783, 1396, 577, 11301, 269, 9291, 543, 7663, 267, 1079, 4620, 1399, 20737, 3168, 585, 606, 2653, 1079, 8536, 9489, 267, 24011, 513, 4729, 547, 32043, 777, 543, 3180, 585, 26030, 14646, 5500, 267, 519, 476, 1015, 20204, 1245, 5067, 540, 552, 321, 2940, 10045, 21053, 564, 267, 513, 14547, 30361, 540, 519, 2146, 269, 898, 849, 2882, 513, 6445, 842, 515, 29734, 1353, 3391, 267, 1141, 1053, 1590, 1747, 519, 2953, 6863, 1913, 538, 519, 5220, 1210, 2796, 10881, 269, 1411, 543, 803, 723, 1044, 2324, 2182, 1927, 585, 1614, 1296, 269, 4414, 8783, 568, 519, 2012, 540, 14646, 333, 903, 1101, 5621, 699, 2998, 267, 543, 22566, 540, 519, 3190, 602, 7663, 543, 3915, 616, 827, 547, 1205, 2933, 6404, 909, 538, 269, 8361, 267, 15554, 7716, 540, 13275, 861, 17036, 533, 7163, 267, 3312, 2012, 13275, 521, 573, 2284, 533, 7163, 267, 4535, 694, 4697, 476, 1556, 267, 476, 5908, 273, 267, 16719, 4011, 334, 267, 5087, 1286, 565, 2088, 267, 579, 269, 7597, 278, 476, 276, 4029, 476, 5325, 275, 476, 15150, 276, 476, 14028, 274, 476, 30019, 476, 25616, 476, 25851, 476, 25908, 476, 28434, 476, 4097, 279, 476, 6344, 277, 476, 15171, 276, 476, 30116, 476, 20542, 476, 21172, 476, 31404, 476, 5908, 476, 15647, 277, 476, 275, 2537, 476, 27244, 476, 14631, 274, 476, 11820, 275, 476, 32133, 476, 279, 1556, 476, 15782, 275, 476, 9262, 272, 476, 276, 4817, 476, 22332, 476, 10482, 271, 476, 12553, 272, 476, 27844, 476, 16409, 278, 0, 763, 2557, 540, 6639, 1689, 814, 2760, 1044, 5488, 982, 621, 568, 1318, 1631, 269, 7913, 4066, 616, 25340, 13321, 519, 1259, 649, 2661, 267, 1451, 543, 960, 563, 22117, 532, 1382, 9193, 602, 676, 476, 10711, 271, 4600, 786, 6108, 476, 4649, 2600, 811, 942, 1210, 6639, 1983, 982, 789, 1705, 538, 476, 1001, 277, 269, 1452, 6639, 21941, 2039, 689, 2596, 3059, 1983, 547, 811, 4359, 543, 2027, 2213, 5759, 563, 7437, 681, 30231, 311, 267, 1053, 786, 1020, 6639, 1702, 543, 1983, 1472, 912, 268, 14464, 11106, 454, 268, 23203, 762, 2029, 454, 268, 634, 5769, 540, 12085, 454, 268, 8447, 7384, 454, 268, 29790, 543, 12957, 454, 268, 10794, 1374, 543, 1646, 454, 268, 16353, 543, 1357, 1646, 454, 268, 8056, 619, 633, 27326, 18712, 630, 311, 305, 264, 1107, 4119, 7757, 18712, 630, 2752, 264, 543, 14044, 18712, 630, 23623, 994, 268, 667, 14772, 543, 22647, 569, 15815, 6838, 589, 7878, 7010, 630, 14641, 3008, 994, 268, 476, 273, 291, 543, 476, 274, 291, 1374, 543, 21753, 454, 268, 15303, 2762, 543, 14590, 454, 268, 8262, 1239, 543, 1239, 2257, 454, 268, 23204, 267, 5680, 274, 267, 13849, 2091, 543, 32454, 454, 305, 30231, 311, 538, 11059, 454, 10743, 24574, 1229, 609, 3084, 2754, 5548, 334, 527, 974, 547, 1711, 513, 1514, 2923, 14485, 799, 946, 4119, 7757, 18712, 630, 2752, 264, 547, 4001, 3755, 827, 4223, 926, 7288, 563, 24728, 25582, 715, 313, 729, 513, 1390, 4316, 547, 16616, 1053, 547, 1175, 930, 540, 519, 3970, 1652, 7399, 540, 10509, 543, 1683, 1187, 543, 3015, 2081, 547, 1451, 891, 1007, 1983, 543, 2081, 540, 3206, 269, 0, 1692, 547, 4070, 606, 13181, 1557, 2186, 540, 1966, 568, 711, 2731, 2182, 547, 8207, 269, 634, 3483, 540, 519, 1557, 568, 547, 1683, 1344, 547, 3988, 269, 5269, 2318, 602, 972, 779, 2370, 547, 917, 538, 14621, 547, 519, 1641, 538, 1931, 547, 1118, 519, 2376, 3551, 547, 1451, 269, 5901, 707, 2606, 5037, 5618, 609, 513, 5934, 540, 1614, 547, 2947, 5220, 563, 19931, 543, 1713, 1239, 1058, 782, 519, 942, 581, 5189, 547, 3988, 538, 606, 1303, 6005, 1505, 267, 609, 1434, 8239, 543, 513, 2953, 1847, 269, 22252, 894, 3594, 666, 1491, 519, 1826, 540, 3594, 267, 8039, 267, 2079, 4574, 267, 543, 4744, 31277, 269, 1879, 9306, 707, 9623, 267, 1118, 2318, 547, 1118, 2318, 602, 519, 1344, 568, 4143, 547, 519, 3483, 540, 707, 2376, 865, 602, 596, 1683, 5363, 1344, 269, 1284, 8190, 513, 4642, 13807, 698, 14705, 3795, 538, 782, 938, 4574, 563, 28324, 7156, 547, 519, 3119, 2798, 540, 519, 1557, 543, 1964, 622, 519, 5098, 3948, 269, 1684, 711, 1699, 1022, 1007, 2035, 543, 2093, 1318, 1934, 2094, 596, 616, 14656, 707, 1557, 267, 711, 9306, 1007, 2035, 1934, 269, 2353, 519, 1344, 11129, 547, 581, 30149, 543, 6035, 547, 948, 519, 5467, 1174, 1018, 519, 1557, 568, 827, 563, 5194, 9133, 547, 3314, 568, 519, 991, 585, 606, 7650, 269, 898, 4016, 547, 513, 17250, 540, 875, 707, 2798, 786, 2408, 538, 519, 26430, 269, 6684, 267, 513, 8748, 5581, 7475, 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 ]
[ 2187, 2018, 952, 562, 4939, 1775, 2652, 476, 271, 543, 1775, 2608, 1775, 10922, 562, 912, 3546, 2736, 454, 1038, 3116, 912, 2018, 6305, 8217, 6910, 3799, 2020, 825, 2132, 6305, 8217, 692, 14310, 815, 1265, 318, 18905, 8217, 318, 8974, 20311, 9272, 994, 2745, 31114, 264, 0, 258, 10563, 508, 361, 422, 371, 478, 476, 17432, 357, 424, 486, 502, 454, 258, 10563, 355, 487, 267, 10563, 508, 494, 422, 372, 364, 10563, 508, 494, 424, 489, 510, 14602, 482, 14091, 489, 353, 424, 489, 506, 29030, 502, 372, 424, 370, 506, 17432, 502, 32629, 498, 476, 17432, 357, 424, 486, 502, 454, 258, 546, 12028, 21844, 369, 361, 425, 502, 482, 17432, 510, 14091, 499, 490, 10563, 508, 494, 424, 352, 376, 10563, 480, 361, 424, 504, 358, 2439, 258, 1219, 25276, 6958, 4233, 9217, 2187, 258, 672, 952, 1775, 2652, 476, 273, 912, 258, 1363, 2132, 454, 258, 672, 1820, 9217, 10086, 423, 366, 486, 424, 356, 372, 10563, 508, 361, 422, 371, 478, 17432, 357, 424, 486, 502, 29306, 494, 424, 482, 506, 3299, 328, 266, 272, 10086, 423, 366, 486, 424, 356, 372, 28990, 361, 422, 371, 478, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 29030, 502, 372, 424, 370, 506, 17432, 358, 21498, 486, 30319, 269, 5073, 16482, 258, 672, 25276, 6958, 4233, 9217, 266, 272, 994, 258, 672, 1820, 9217, 2437, 424, 351, 483, 423, 352, 490, 5602, 16482, 258, 25276, 6958, 4233, 263, 272, 2020, 18851, 29030, 490, 358, 425, 484, 510, 423, 355, 361, 424, 500, 376, 21844, 369, 361, 425, 502, 482, 20701, 454, 3698, 27353, 3799, 2187, 825, 952, 562, 10922, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 2132, 562, 2608, 27353, 3799, 910, 476, 272, 9239, 2745, 263, 2399, 3645, 263, 275, 264, 9239, 258, 14091, 364, 502, 423, 367, 369, 423, 361, 372, 424, 506, 376, 423, 350, 506, 21844, 369, 361, 425, 502, 482, 17432, 506, 562, 2439, 3698, 27353, 318, 527, 1716, 894, 3799, 2187, 825, 1267, 815, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 1341, 476, 272, 2187, 1038, 1267, 2608, 284, 1775, 454, 825, 2132, 1267, 7531, 2745, 2891, 423, 364, 502, 423, 367, 369, 423, 361, 372, 2580, 27353, 318, 527, 1716, 894, 263, 274, 4917, 0, 258, 10563, 502, 361, 423, 364, 498, 423, 354, 372, 21844, 368, 482, 425, 502, 372, 454, 16482, 258, 834, 263, 28829, 3890, 257, 1948, 6936, 454, 258, 834, 9230, 263, 2891, 1948, 8771, 454, 258, 21844, 368, 482, 425, 502, 372, 14602, 502, 21844, 364, 363, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 486, 423, 507, 376, 267, 10563, 501, 368, 423, 510, 372, 424, 506, 376, 423, 358, 368, 14091, 364, 502, 423, 497, 506, 424, 489, 506, 14091, 489, 360, 425, 502, 478, 424, 499, 376, 476, 17432, 506, 30319, 2336, 320, 815, 834, 4297, 3890, 3890, 3890, 5016, 454, 3698, 568, 6831, 8091, 7272, 1861, 4185, 30415, 2187, 825, 10518, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 30415, 15892, 1038, 952, 5569, 5157, 316, 2652, 834, 2891, 912, 2018, 10518, 6910, 9217, 994, 1038, 8640, 5569, 5157, 316, 2652, 834, 264, 13426, 2018, 952, 5569, 314, 271, 316, 2652, 834, 264, 13426, 3546, 2132, 1820, 2891, 16178, 5602, 2018, 3116, 912, 3546, 10518, 21014, 10797, 825, 952, 7003, 263, 23637, 264, 11203, 476, 271, 912, 1038, 2132, 1820, 2891, 16178, 5602, 825, 3116, 912, 1038, 2132, 1820, 2891, 12148, 257, 9239, 529, 6831, 8091, 7272, 1861, 4185, 5416, 994, 0, 258, 292, 297, 2207, 290, 2975, 22473, 476, 4905, 454, 916, 329, 6889, 4338, 3918, 5746, 288, 29486, 1627, 16604, 30263, 2894, 2464, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 2207, 290, 2975, 22473, 476, 6349, 454, 916, 329, 6889, 6369, 966, 2839, 288, 21096, 631, 308, 6224, 3008, 966, 308, 5085, 307, 3008, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 2207, 290, 2975, 22473, 476, 6734, 454, 916, 329, 6889, 25807, 4629, 1627, 16604, 700, 4696, 6938, 12971, 631, 308, 2207, 14701, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 2207, 290, 2975, 22473, 476, 6860, 454, 916, 329, 6889, 7419, 595, 6369, 309, 302, 590, 19781, 589, 10758, 15674, 595, 6369, 309, 302, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 2207, 290, 2975, 22473, 476, 4962, 454, 916, 329, 6889, 17472, 570, 7495, 302, 29486, 1627, 16604, 645, 6020, 299, 6369, 11536, 744, 4629, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 2207, 290, 2975, 22473, 476, 6187, 454, 916, 329, 6889, 6369, 19294, 297, 3036, 2910, 300, 5183, 383, 495, 8656, 11536, 15829, 25663, 3633, 4696, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 5881, 454, 916, 329, 6889, 15288, 19532, 296, 2207, 302, 589, 24696, 700, 4696, 302, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 5400, 454, 916, 329, 6889, 18444, 2894, 6347, 631, 2894, 5308, 962, 22743, 313, 631, 3008, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 6021, 454, 916, 329, 6889, 6369, 966, 2839, 288, 661, 6573, 23966, 313, 288, 21957, 288, 595, 2562, 4596, 32745, 7473, 5308, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1015, 454, 916, 329, 6889, 5085, 623, 7495, 2207, 16692, 15829, 594, 7246, 294, 2562, 3722, 12778, 715, 5308, 670, 19781, 5442, 293, 2562, 3951, 302, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1556, 454, 916, 329, 6889, 10345, 4456, 5308, 11555, 3201, 8780, 3008, 267, 623, 2839, 4456, 5308, 29486, 29313, 5308, 296, 25770, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1321, 454, 916, 329, 6889, 7419, 645, 308, 2894, 966, 8656, 297, 3198, 15288, 12971, 30263, 2894, 292, 12813, 3198, 2464, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1724, 454, 916, 329, 6889, 14701, 700, 3008, 667, 9281, 2975, 17109, 4696, 2464, 715, 3722, 2894, 24696, 6369, 294, 4629, 306, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1691, 454, 916, 329, 6889, 309, 4353, 8379, 5308, 13673, 6167, 8121, 4596, 7644, 3041, 16692, 11404, 5308, 4840, 2745, 12759, 263, 916, 329, 11723, 258, 292, 297, 13612, 2975, 22473, 476, 1428, 454, 916, 329, 6889, 291, 2177, 14701, 670, 17751, 7537, 3036, 670, 17751, 966, 2839, 288, 4840, 2745, 12759, 263, 916, 329, 4297, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 12163, 303, 24411, 476, 272, 454, 5649, 3286, 713, 9022, 11415, 607, 5205, 912, 301, 1868, 281, 589, 1889, 523, 808, 731, 710, 454, 22923, 7089, 281, 808, 305, 19699, 308, 295, 16573, 454, 303, 2350, 281, 476, 272, 454, 14630, 281, 476, 2420, 270, 5881, 269, 1001, 279, 454, 20701, 258, 1104, 31999, 8644, 571, 637, 454, 5814, 681, 303, 328, 14371, 18444, 302, 607, 13382, 22473, 454, 5228, 942, 1104, 3207, 454, 258, 13729, 1575, 3097, 294, 18444, 302, 15630, 332, 1712, 31855, 18444, 302, 11065, 302, 19181, 264, 1948, 322, 784, 604, 999, 547, 21398, 19181, 7154, 267, 865, 3096, 4604, 1297, 532, 454, 6358, 15220, 2335, 1564, 17342, 274, 267, 276, 316, 1948, 6358, 20382, 476, 274, 543, 476, 276, 454, 16059, 15220, 2335, 1564, 815, 1496, 278, 267, 279, 267, 1015, 316, 1948, 16059, 20382, 476, 278, 267, 279, 543, 476, 1015, 454, 294, 18444, 302, 15630, 1575, 9272, 15220, 2335, 1564, 267, 294, 18444, 302, 269, 2562, 264, 476, 1948, 1492, 476, 20382, 476, 274, 267, 276, 616, 1305, 547, 581, 11378, 454, 294, 18444, 302, 15630, 1575, 263, 16059, 15220, 2335, 1564, 267, 294, 18444, 302, 269, 27345, 264, 1948, 1492, 20382, 476, 278, 267, 279, 543, 476, 1015, 616, 17016, 454, 294, 18444, 302, 14491, 21223, 1203, 5091, 25018, 9272, 15220, 2335, 1564, 314, 271, 3910, 13382, 22473, 10611, 3041, 5058, 267, 536, 1735, 322, 8135, 284, 1220, 264, 1948, 338, 1115, 909, 606, 14443, 547, 581, 15427, 676, 8930, 274, 454, 294, 18444, 302, 14491, 21223, 1203, 5091, 25018, 9272, 15220, 2335, 1564, 314, 272, 3910, 13382, 22473, 10611, 3041, 5058, 267, 536, 1735, 322, 8135, 284, 1220, 264, 1948, 338, 1115, 909, 14443, 547, 581, 15427, 676, 8930, 276, 454, 258, 29514, 1293, 267, 1575, 267, 6658, 454, 12248, 815, 271, 692, 258, 20603, 602, 596, 2328, 454, 3698, 1292, 10031, 825, 1247, 6936, 912, 825, 453, 13382, 22473, 269, 16059, 263, 278, 267, 272, 264, 1948, 20479, 338, 1164, 547, 8930, 476, 278, 454, 825, 453, 3207, 263, 272, 264, 1948, 23437, 599, 585, 476, 272, 2034, 454, 453, 13382, 22473, 269, 16059, 263, 278, 267, 271, 264, 1948, 16059, 338, 513, 1970, 547, 8930, 476, 278, 454, 453, 3207, 263, 272, 994, 453, 7531, 258, 8307, 2196, 519, 3252, 952, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 5269, 2386, 519, 13382, 22473, 568, 11074, 7157, 454, 825, 2119, 912, 1038, 1247, 6936, 912, 2018, 1292, 4590, 825, 4849, 6206, 4580, 11328, 4533, 912, 1038, 1820, 2891, 2750, 1746, 30780, 5602, 1038, 1948, 12414, 1055, 707, 13382, 296, 11675, 1934, 454, 1038, 13382, 22473, 269, 30236, 1575, 4590, 0, 258, 14140, 678, 7032, 7097, 281, 1384, 26611, 23591, 24800, 270, 7090, 692, 5814, 19523, 454, 3698, 5401, 10031, 453, 24978, 815, 19523, 14714, 19734, 18667, 1467, 14061, 29328, 4590, 16596, 3210, 454, 26753, 815, 22373, 8923, 2995, 803, 707, 2012, 281, 14307, 834, 1432, 1153, 323, 798, 596, 979, 547, 286, 281, 14307, 834, 1432, 1032, 616, 596, 538, 286, 281, 834, 2639, 753, 9955, 815, 11713, 1721, 2361, 538, 4610, 912, 13537, 630, 7615, 13211, 453, 341, 815, 5401, 4590, 453, 753, 9955, 6834, 1496, 341, 6540, 2745, 2891, 3269, 15916, 4939, 338, 256, 1411, 979, 547, 4939, 338, 543, 596, 616, 538, 1032, 4939, 338, 18851, 4939, 630, 753, 9955, 314, 271, 3910, 4267, 314, 272, 3910, 4267, 314, 273, 8079, 2020, 20204, 815, 703, 263, 753, 9955, 314, 273, 20285, 604, 1032, 2652, 476, 280, 912, 13537, 2891, 295, 641, 337, 707, 23722, 32075, 338, 616, 2469, 1134, 23528, 19197, 1032, 2652, 476, 279, 912, 13537, 2891, 296, 4126, 596, 616, 4974, 585, 707, 11400, 32405, 12828, 912, 13537, 2891, 12552, 585, 4730, 15419, 0, 3698, 2212, 12173, 28442, 2187, 825, 1347, 815, 2012, 314, 271, 2639, 825, 1820, 2891, 763, 1101, 1915, 538, 519, 2012, 15079, 568, 15079, 2668, 8971, 28442, 267, 1347, 264, 9239, 2745, 2891, 8923, 4283, 707, 2012, 281, 5602, 4067, 815, 3403, 4590, 3650, 12173, 28442, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3382, 718, 585, 513, 5594, 811, 13747, 7817, 25279, 269, 5637, 23157, 941, 20013, 20955, 1031, 676, 519, 2324, 1362, 1004, 540, 7977, 543, 5333, 563, 1103, 476, 6977, 272, 267, 513, 1762, 812, 3957, 2274, 12858, 18135, 1380, 2451, 1010, 1753, 538, 5125, 547, 6443, 1010, 14552, 538, 1715, 3840, 1141, 789, 13234, 513, 2489, 4558, 269, 5565, 1296, 2663, 267, 18135, 1380, 1904, 539, 547, 1847, 547, 5842, 12770, 538, 3870, 540, 519, 15911, 2916, 543, 8118, 1010, 1378, 3819, 5370, 4558, 1572, 2274, 12858, 18135, 1380, 1299, 3213, 269, 1733, 3421, 1446, 5600, 602, 2968, 1634, 585, 9513, 5386, 20955, 547, 2199, 2766, 832, 269, 2290, 540, 1010, 811, 7986, 5561, 729, 513, 14850, 335, 5803, 20688, 267, 15243, 16026, 267, 945, 5461, 18135, 1380, 538, 14664, 532, 543, 9513, 7802, 602, 1223, 581, 18674, 609, 7601, 678, 633, 1206, 693, 2566, 2798, 585, 2182, 11529, 2367, 2870, 519, 5842, 12770, 6607, 1467, 269, 18135, 1380, 7608, 713, 2709, 547, 6443, 1010, 6075, 538, 513, 1007, 14679, 543, 593, 2904, 476, 736, 267, 476, 6942, 274, 267, 789, 4607, 513, 14664, 585, 741, 16012, 2856, 269, 11374, 741, 14664, 267, 519, 4891, 3459, 547, 4739, 5538, 338, 619, 1210, 1169, 5958, 18135, 1380, 5645, 538, 1010, 6300, 543, 4376, 3116, 789, 1223, 4383, 547, 10536, 269, 16828, 267, 3954, 574, 729, 1031, 543, 1312, 2367, 8815, 602, 621, 6039, 607, 519, 1655, 2139, 4781, 585, 678, 633, 1540, 960, 27890, 563, 5445, 3459, 547, 2344, 891, 960, 27890, 547, 19379, 543, 25255, 1210, 678, 633, 1206, 693, 782, 2566, 2798, 269, 898, 729, 513, 5734, 543, 519, 1101, 2274, 12858, 8614, 753, 941, 4535, 269, 1717, 267, 2394, 519, 476, 3422, 271, 338, 267, 2274, 12858, 779, 1572, 519, 5538, 338, 619, 2048, 310, 320, 626, 3683, 8712, 685, 2864, 982, 14247, 753, 269, 674, 9231, 2864, 29101, 267, 789, 941, 6140, 2442, 609, 12051, 4600, 2394, 519, 2038, 476, 4198, 271, 338, 950, 789, 4682, 689, 513, 4052, 6221, 547, 513, 811, 6752, 762, 6221, 7064, 547, 21035, 5182, 6276, 25760, 945, 20595, 513, 6292, 540, 4544, 14247, 753, 538, 1010, 5734, 4670, 1234, 10964, 9453, 513, 20531, 563, 2026, 741, 8560, 4797, 547, 1332, 267, 811, 543, 811, 9755, 3459, 8888, 741, 1378, 8747, 540, 4544, 14247, 753, 543, 676, 519, 476, 2735, 271, 338, 789, 941, 28125, 538, 3592, 1169, 1101, 1158, 2197, 269, 4634, 2196, 3118, 3631, 3323, 9849, 873, 593, 519, 3032, 19789, 802, 543, 22099, 3459, 1402, 4771, 909, 538, 23195, 4872, 899, 1715, 3840, 267, 9628, 543, 11968, 13353, 1141, 519, 5538, 338, 619, 941, 30630, 711, 1152, 607, 960, 27890, 267, 855, 849, 585, 519, 15964, 19033, 22742, 609, 1010, 5067, 610, 11981, 513, 18147, 3046, 13069, 826, 609, 2828, 563, 5445, 616, 3812, 676, 513, 5318, 1297, 540, 9858, 543, 22278, 538, 1585, 18707, 543, 729, 1127, 269, 22073, 609, 7799, 2692, 538, 519, 5101, 22810, 540, 1715, 3840, 267, 789, 2968, 519, 1101, 21471, 547, 11547, 782, 741, 1007, 14247, 753, 538, 1931, 547, 3035, 513, 12816, 2987, 1198, 269, 634, 2856, 729, 513, 5734, 543, 4166, 3549, 1472, 519, 1158, 941, 4098, 547, 946, 713, 8671, 545, 547, 2344, 741, 14247, 753, 547, 513, 811, 12048, 543, 7678, 344, 15295, 269, 7799, 2692, 9663, 1492, 1042, 713, 9029, 676, 22927, 15649, 5196, 519, 14247, 753, 267, 3728, 2287, 1232, 1023, 543, 1256, 678, 6235, 9475, 538, 519, 19704, 543, 25427, 338, 543, 1287, 9513, 519, 14247, 753, 585, 1269, 1220, 269, 3973, 267, 538, 519, 476, 2735, 271, 338, 267, 513, 812, 538, 3798, 3000, 2023, 267, 4516, 2919, 519, 6149, 2914, 4770, 1505, 799, 2417, 3032, 777, 738, 539, 519, 8560, 540, 519, 5538, 338, 619, 563, 2026, 519, 13680, 18326, 540, 519, 476, 1960, 271, 338, 4359, 267, 519, 13781, 3459, 12561, 14247, 753, 607, 513, 851, 540, 741, 13680, 5604, 30933, 269, 623, 8529, 609, 513, 1025, 1794, 518, 543, 606, 10228, 7735, 16365, 267, 14247, 753, 941, 1631, 10024, 519, 5892, 2757, 5604, 5656, 540, 23885, 22971, 543, 9931, 9335, 563, 9213, 267, 4544, 14247, 753, 616, 513, 5479, 13362, 2872, 14407, 532, 811, 982, 1269, 1428, 1532, 11669, 538, 519, 2136, 2276, 4805, 267, 799, 1152, 6589, 585, 1447, 982, 476, 2412, 260, 540, 2518, 16306, 563, 26170, 513, 2442, 960, 20562, 267, 789, 616, 1631, 2808, 14704, 813, 28328, 609, 930, 540, 519, 688, 1393, 6752, 8075, 269, 6736, 2274, 12858, 18135, 1380, 6967, 513, 1883, 6345, 538, 519, 4544, 795, 6756, 2872, 267, 1082, 824, 3549, 723, 17477, 513, 1713, 2344, 2671, 676, 2519, 593, 1360, 1808, 22097, 269, 4518, 27890, 616, 1631, 6793, 982, 2479, 609, 17960, 1519, 18535, 22836, 267, 12597, 21181, 267, 543, 18674, 12966, 17787, 269, 634, 3328, 812, 22595, 693, 2547, 5722, 8424, 540, 4544, 14247, 753, 563, 297, 324, 753, 723, 849, 22734, 513, 2864, 1713, 1689, 538, 6163, 936, 519, 1296, 1519, 519, 11350, 5377, 6159, 2763, 540, 519, 476, 3192, 271, 338, 543, 1631, 267, 519, 7148, 1229, 2960, 5500, 795, 6756, 7678, 269, 3509, 6752, 24069, 543, 9858, 971, 607, 25453, 19846, 333, 267, 570, 20207, 23664, 325, 9528, 543, 27869, 21890, 514, 666, 5781, 581, 2938, 9849, 4544, 14247, 753, 543, 1978, 9746, 1119, 1723, 976, 899, 9400, 645, 4920, 517, 543, 519, 3735, 19378, 22868, 616, 1634, 547, 8499, 5660, 741, 13680, 1145, 543, 4313, 538, 519, 5604, 269, 3502, 1152, 568, 519, 4313, 540, 519, 795, 6756, 13267, 547, 2367, 899, 891, 855, 621, 2636, 873, 547, 581, 811, 11541, 547, 519, 1169, 2006, 945, 949, 711, 5660, 519, 3044, 1870, 9290, 563, 4131, 779, 4685, 883, 1018, 2306, 585, 513, 1390, 6292, 540, 14247, 753, 563, 29493, 1299, 28546, 454, 763, 2759, 267, 610, 3337, 267, 540, 707, 14247, 753, 568, 835, 540, 519, 1034, 7298, 4162, 540, 707, 3954, 574, 269, 898, 779, 849, 1360, 7678, 9141, 1107, 1589, 1164, 2914, 320, 13554, 11350, 4420, 1682, 538, 519, 11313, 3583, 338, 543, 9126, 4445, 2647, 1850, 14247, 753, 538, 519, 11313, 3445, 338, 269, 634, 1883, 547, 4466, 513, 1434, 2759, 568, 547, 3666, 519, 2511, 596, 616, 6899, 609, 267, 519, 1655, 3514, 585, 707, 7406, 267, 543, 519, 1699, 3466, 269, 1280, 1383, 267, 952, 596, 723, 513, 6094, 7406, 543, 899, 519, 1413, 540, 2960, 5500, 14247, 753, 267, 1287, 513, 2706, 1606, 3916, 6292, 786, 9290, 596, 269, 1280, 1383, 1268, 609, 5394, 25427, 338, 786, 27422, 5929, 267, 10571, 344, 3954, 574, 269, 1280, 1864, 267, 513, 2786, 268, 5586, 4158, 11547, 2511, 568, 1732, 585, 1010, 2115, 563, 2026, 728, 689, 2681, 267, 519, 2759, 540, 519, 1850, 568, 1419, 1031, 547, 4766, 14247, 753, 538, 1587, 11673, 267, 607, 538, 968, 323, 1046, 11547, 2786, 1850, 14247, 753, 6100, 1703, 616, 513, 1906, 1292, 6688, 540, 11912, 267, 543, 950, 596, 23868, 519, 2647, 543, 1166, 1563, 8677, 602, 616, 1100, 3476, 679, 642, 4084, 267, 789, 1331, 912, 268, 4787, 4883, 344, 269, 634, 2960, 5500, 14247, 753, 568, 7168, 1582, 7721, 17839, 2218, 282, 789, 3514, 2673, 547, 519, 1850, 689, 1283, 547, 5377, 543, 789, 1419, 4183, 606, 21721, 27480, 8280, 269, 901, 2511, 568, 1390, 585, 2367, 945, 1616, 547, 5957, 519, 1034, 1631, 23302, 3954, 574, 610, 585, 2367, 609, 5420, 547, 28489, 7953, 945, 899, 519, 1413, 563, 268, 590, 3916, 12338, 269, 634, 28489, 2759, 568, 519, 5594, 3138, 29141, 4528, 540, 519, 2960, 5500, 795, 6756, 269, 634, 8700, 540, 519, 1850, 512, 3639, 689, 519, 25427, 547, 519, 21721, 269, 901, 2511, 568, 3501, 585, 2367, 945, 1810, 1406, 1616, 513, 2960, 2389, 697, 2960, 5500, 795, 6756, 267, 855, 899, 519, 28489, 543, 16013, 1413, 269, 14568, 585, 28489, 3562, 2173, 539, 1756, 7953, 563, 268, 24135, 1229, 269, 901, 949, 7618, 596, 540, 14247, 753, 689, 519, 476, 3199, 779, 267, 855, 538, 1249, 267, 519, 7148, 1229, 2759, 666, 581, 1360, 1166, 30568, 585, 1978, 1560, 2010, 269, 898, 779, 513, 2370, 3787, 3138, 29141, 2759, 982, 519, 28489, 2759, 267, 855, 621, 1869, 2934, 513, 7148, 1229, 1850, 602, 19141, 519, 2413, 2960, 5500, 2759, 269, 901, 2511, 568, 14018, 547, 2367, 609, 8273, 7953, 610, 25427, 338, 543, 945, 899, 519, 7522, 21721, 6679, 563, 268, 18135, 697, 269, 901, 795, 6756, 2934, 519, 1482, 8700, 689, 519, 1283, 547, 519, 5377, 540, 519, 1850, 269, 898, 568, 1390, 585, 2367, 945, 899, 513, 5929, 1413, 267, 610, 1810, 1406, 1616, 547, 1689, 519, 2759, 540, 741, 14247, 753, 607, 519, 3466, 1689, 269, 2672, 1243, 585, 2367, 609, 8273, 7953, 855, 949, 581, 1932, 9126, 4445, 585, 25182, 7953, 563, 268, 645, 2393, 2759, 269, 645, 2393, 2759, 14247, 753, 616, 2786, 998, 519, 25427, 543, 5594, 1166, 1563, 693, 519, 21721, 269, 20323, 789, 941, 2647, 2614, 547, 6292, 609, 25192, 267, 8754, 519, 2012, 267, 855, 891, 2395, 25192, 616, 19610, 609, 5176, 1169, 2759, 540, 795, 6756, 269, 1403, 596, 723, 16757, 1608, 1407, 267, 1287, 713, 2759, 1522, 581, 585, 596, 563, 763, 3259, 540, 3954, 574, 267, 1454, 899, 519, 2759, 267, 568, 1641, 547, 519, 4657, 3466, 269, 2755, 1082, 2367, 5957, 741, 2960, 5500, 14247, 753, 693, 21721, 3259, 610, 1256, 10156, 267, 649, 1589, 602, 899, 1022, 6292, 540, 27890, 267, 519, 2757, 1935, 568, 3259, 568, 519, 1655, 269, 1280, 1383, 267, 1312, 22350, 1279, 543, 22350, 2110, 786, 7519, 519, 17114, 540, 707, 27890, 547, 519, 1964, 540, 707, 1560, 267, 543, 519, 1267, 666, 1413, 9642, 269, 4595, 596, 666, 4444, 3954, 574, 1759, 593, 513, 22765, 2450, 607, 1134, 607, 606, 538, 572, 600, 267, 621, 779, 3335, 4443, 547, 1205, 513, 6292, 540, 3954, 574, 547, 3514, 1055, 519, 24646, 269, 1403, 789, 1810, 1406, 3514, 1055, 519, 24646, 267, 1281, 602, 1611, 596, 1058, 8280, 707, 14247, 753, 286, 634, 2626, 568, 9811, 269, 13667, 585, 513, 1100, 2736, 547, 513, 3368, 2736, 593, 519, 21489, 269, 715, 5535, 11912, 666, 581, 12816, 10156, 267, 855, 1100, 10156, 982, 519, 21721, 547, 8190, 519, 17114, 540, 519, 1850, 547, 519, 1560, 563, 21760, 267, 25169, 1299, 674, 8172, 454, 291, 523, 574, 2501, 538, 513, 2247, 1532, 17344, 1782, 5044, 540, 4778, 267, 6140, 4544, 18707, 267, 543, 711, 782, 14247, 753, 616, 4544, 269, 4634, 1498, 1169, 2681, 896, 519, 3141, 568, 1631, 2139, 267, 952, 596, 616, 5461, 538, 513, 5929, 1413, 267, 1287, 649, 2303, 596, 6529, 609, 513, 2757, 12094, 540, 4544, 3954, 574, 269, 634, 2681, 540, 519, 3954, 574, 666, 849, 581, 8612, 676, 519, 11547, 267, 610, 519, 2949, 8737, 1413, 540, 519, 11954, 3954, 574, 563, 293, 8172, 786, 2049, 6923, 547, 3954, 574, 936, 942, 267, 855, 1082, 3549, 786, 2709, 840, 1922, 12184, 3681, 269, 9282, 972, 616, 11995, 2081, 547, 28201, 14247, 753, 267, 972, 616, 2185, 1292, 6163, 540, 18532, 535, 8172, 912, 268, 1733, 7416, 518, 674, 1228, 281, 1452, 616, 1792, 6545, 540, 535, 8172, 602, 2356, 3295, 519, 9240, 514, 1858, 563, 268, 21541, 25397, 674, 1228, 281, 28210, 593, 519, 856, 3553, 267, 891, 616, 513, 28201, 602, 8992, 519, 13276, 341, 720, 602, 5932, 519, 9018, 694, 4461, 676, 2870, 1079, 3982, 535, 3547, 602, 1413, 2147, 547, 5721, 13475, 563, 268, 26006, 18474, 674, 1228, 281, 1452, 616, 519, 535, 12184, 3515, 602, 2049, 6923, 3297, 519, 12597, 1698, 936, 942, 269, 1358, 666, 581, 3773, 585, 513, 811, 7745, 2987, 1413, 547, 1007, 3954, 574, 269, 1452, 3515, 1205, 811, 14733, 607, 519, 14247, 753, 2085, 543, 786, 1413, 1732, 609, 1447, 11067, 563, 268, 29571, 674, 1228, 281, 853, 2931, 616, 2813, 676, 8280, 2719, 519, 538, 572, 600, 513, 1906, 6279, 3476, 982, 519, 1850, 269, 901, 3123, 519, 14247, 753, 547, 10518, 909, 593, 519, 21489, 543, 5932, 513, 28201, 2429, 519, 2539, 1850, 269, 901, 28201, 3884, 1406, 5227, 1317, 519, 3063, 1570, 1472, 519, 21489, 5654, 1793, 641, 6853, 563, 2171, 4363, 2901, 15603, 707, 14247, 753, 28201, 6923, 610, 7446, 1007, 3954, 574, 609, 13581, 535, 8172, 269, 674, 8172, 568, 513, 2442, 1505, 540, 19249, 3954, 574, 547, 1711, 1007, 3466, 267, 865, 3810, 535, 12184, 3954, 574, 786, 3533, 979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 268, 589, 5021, 540, 476, 1789, 3755, 666, 1246, 707, 6881, 454, 268, 6258, 811, 827, 713, 4183, 538, 938, 1702, 3490, 2376, 454, 2710, 596, 2731, 1616, 547, 18419, 713, 840, 17844, 888, 10468, 2416, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786, 581, 2111, 547, 9156, 621, 1586, 563, 13014, 707, 15055, 7298, 593, 9365, 888, 21010, 707, 9365, 2272, 547, 2776, 17844, 543, 1577, 707, 15055, 2408, 593, 707, 15415, 563, 2791, 666, 1689, 713, 896, 23994, 1299, 10055, 693, 1022, 942, 563, 16240, 547, 6258, 454, 9558, 5296, 540, 5675, 547, 6258, 454, 16240, 21661, 519, 15099, 630, 310, 3722, 994, 3383, 4171, 2816, 4959, 621, 888, 20059, 580, 622, 519, 946, 540, 2029, 547, 3986, 1603, 585, 782, 10459, 454, 14946, 707, 1378, 1603, 454, 28097, 1382, 2861, 1655, 2853, 2066, 519, 6437, 454, 292, 7568, 3670, 10927, 17099, 4724, 5232, 610, 973, 1068, 2305, 454, 514, 5272, 15858, 454, 27409, 2355, 14653, 540, 15382, 310, 303, 454, 11754, 816, 519, 991, 585, 654, 3722, 454, 13706, 519, 1909, 540, 1603, 538, 519, 4928, 454, 18704, 2994, 585, 14139, 1603, 538, 1585, 1543, 2127, 454, 257, 16240, 568, 513, 1797, 540, 14178, 543, 29947, 1053, 262, 1702, 282, 621, 6411, 607, 513, 1907, 585, 1565, 1641, 2339, 1701, 630, 16240, 8921, 994, 16240, 547, 6258, 630, 310, 26950, 994, 16240, 538, 519, 2598, 4184, 1149, 630, 310, 2839, 994, 257, 11900, 12371, 593, 519, 7839, 946, 540, 1603, 2066, 519, 6437, 2127, 267, 1519, 6128, 543, 2257, 267, 6585, 519, 9153, 540, 5355, 1053, 262, 1603, 16169, 267, 29947, 1641, 2173, 2660, 1702, 267, 543, 9750, 519, 2179, 540, 942, 1053, 6108, 1603, 257, 630, 13233, 8189, 593, 5675, 267, 476, 1220, 277, 1916, 257, 16240, 267, 5265, 6956, 267, 568, 2219, 593, 1957, 30385, 316, 5675, 568, 711, 3274, 513, 1259, 585, 1053, 547, 6542, 1018, 789, 917, 269, 898, 568, 513, 1259, 547, 948, 873, 1174, 1018, 789, 917, 1701, 630, 27078, 21124, 834, 305, 5602, 10454, 11621, 1305, 4170, 711, 1152, 585, 2296, 1893, 6575, 630, 5085, 288, 264, 855, 849, 585, 7924, 538, 1686, 4882, 3469, 2090, 267, 2257, 267, 543, 2930, 5396, 30385, 316, 4841, 1590, 1451, 547, 1224, 267, 2328, 267, 3717, 267, 6432, 267, 543, 946, 1893, 3927, 538, 513, 3099, 540, 1543, 2127, 30385, 316, 634, 476, 277, 1700, 1321, 7924, 4441, 538, 1686, 4882, 3469, 2090, 267, 2257, 267, 543, 2930, 5396, 616, 711, 5921, 547, 5372, 1543, 4441, 538, 1346, 2127, 855, 2864, 547, 7110, 873, 4799, 10454, 11621, 31274, 602, 6044, 538, 2542, 267, 1603, 267, 6340, 267, 6947, 267, 543, 1893, 581, 513, 3838, 5539, 1369, 519, 1153, 4799, 5649, 543, 14391, 622, 519, 1257, 5542, 454, 1432, 6763, 856, 286, 1548, 2055, 1281, 519, 1257, 6318, 585, 596, 888, 1432, 616, 519, 6286, 585, 707, 1153, 543, 4928, 888, 27879, 707, 1957, 547, 513, 7023, 563, 25215, 1180, 547, 707, 26393, 781, 1603, 563, 293, 15968, 1299, 19793, 22777, 454, 27645, 9752, 11334, 454, 3725, 23428, 1299, 20828, 454, 5475, 15388, 13322, 630, 514, 845, 1049, 5931, 264, 593, 454, 3071, 630, 20880, 1070, 2328, 513, 270, 534, 13322, 630, 22967, 610, 12990, 264, 602, 13187, 707, 2990, 593, 13322, 630, 20880, 1040, 8081, 707, 2990, 609, 2963, 689, 707, 1382, 269, 2142, 2386, 547, 11760, 12721, 5784, 269, 12315, 1806, 689, 2250, 610, 1699, 2621, 610, 2152, 547, 9414, 543, 12172, 707, 2990, 563, 314, 11900, 1068, 1543, 2861, 1898, 2243, 316, 2991, 2542, 13322, 630, 32173, 1155, 610, 21141, 5931, 1070, 2328, 513, 270, 534, 13322, 630, 22967, 610, 12990, 264, 602, 9607, 519, 2243, 543, 1489, 707, 2990, 609, 2963, 689, 519, 1257, 4433, 1040, 2142, 2386, 547, 11760, 12721, 5784, 269, 12315, 1806, 689, 2250, 610, 1699, 2621, 610, 2152, 547, 9414, 543, 12172, 707, 2990, 563, 1432, 798, 596, 3314, 888, 1432, 1476, 4926, 596, 888, 30022, 11339, 630, 528, 9602, 7391, 264, 609, 4891, 454, 1805, 641, 543, 2328, 454, 11328, 5562, 1543, 31940, 454, 17345, 18759, 543, 20241, 454, 310, 26950, 570, 3696, 547, 11559, 5450, 659, 10744, 543, 14506, 454, 24145, 2329, 5071, 20985, 454, 30108, 607, 26064, 454, 30108, 607, 31943, 518, 454, 30108, 607, 27752, 454, 5649, 519, 4305, 454, 2521, 519, 4305, 454, 18704, 609, 9164, 0, 263, 15862, 15894, 281, 22085, 2839, 290, 994, 1001, 273, 7256, 10979, 281, 589, 590, 15676, 540, 15329, 550, 13809, 454, 1001, 273, 269, 898, 949, 711, 581, 519, 1032, 519, 1158, 8694, 269, 1809, 621, 786, 267, 2693, 267, 581, 519, 1032, 649, 3357, 547, 2474, 609, 519, 900, 5799, 543, 13249, 3803, 2395, 540, 11848, 4262, 4672, 563, 2005, 3459, 21030, 28204, 2614, 269, 12866, 1296, 1310, 519, 2594, 9271, 2938, 538, 476, 1220, 278, 267, 972, 729, 930, 2014, 585, 4126, 540, 513, 14887, 267, 811, 16795, 7771, 269, 4107, 476, 1220, 278, 5638, 1185, 4371, 609, 476, 1001, 272, 7487, 1152, 513, 13581, 6749, 538, 519, 4262, 4672, 1858, 6482, 269, 9282, 621, 729, 6654, 7125, 585, 4262, 4672, 6051, 941, 7357, 4652, 15903, 267, 972, 729, 2370, 2601, 547, 14353, 1776, 4005, 540, 10795, 9271, 899, 602, 2938, 1282, 476, 1220, 278, 269, 634, 4365, 729, 10567, 547, 581, 30369, 585, 513, 2594, 15835, 543, 267, 693, 1034, 267, 5634, 9271, 941, 4397, 563, 1432, 11200, 539, 729, 513, 4262, 4672, 14022, 3042, 18484, 540, 7372, 4336, 269, 589, 1954, 752, 880, 2530, 602, 1219, 1221, 782, 6671, 20772, 540, 4365, 543, 2916, 269, 1280, 1034, 540, 519, 4832, 267, 2175, 23163, 513, 10825, 856, 540, 519, 4672, 6656, 269, 901, 2783, 2356, 8476, 519, 30840, 540, 4262, 4672, 267, 5329, 519, 14436, 15098, 936, 513, 3677, 1858, 543, 267, 4061, 267, 6117, 5210, 1524, 563, 3719, 267, 713, 1032, 267, 621, 729, 7805, 519, 4262, 4672, 1185, 3262, 856, 1932, 1454, 267, 1185, 6738, 1932, 6094, 269, 589, 4232, 1084, 4670, 4904, 609, 9475, 543, 1958, 597, 743, 539, 676, 606, 32415, 2527, 540, 15911, 12798, 543, 15798, 269, 1323, 4672, 5496, 7925, 547, 519, 14213, 540, 3141, 267, 2842, 267, 543, 5951, 538, 513, 1259, 602, 519, 11848, 4262, 4672, 1185, 2760, 1044, 7925, 269, 3502, 538, 938, 1686, 267, 693, 2547, 269, 3502, 538, 602, 6094, 12732, 7893, 938, 9808, 559, 543, 2110, 1606, 32484, 10340, 563, 263, 15862, 15894, 281, 8331, 994, 763, 4262, 4672, 729, 7996, 269, 24619, 856, 267, 581, 548, 16331, 1229, 269, 717, 3234, 569, 24584, 513, 10213, 9514, 563, 6546, 9514, 3357, 1282, 3735, 4864, 538, 519, 1106, 540, 513, 3532, 7088, 269, 634, 4279, 11848, 20676, 821, 540, 476, 1001, 273, 563, 8967, 27681, 538, 519, 8781, 590, 9200, 1014, 11848, 267, 713, 7088, 4646, 538, 513, 3148, 1141, 7372, 1025, 30769, 1185, 267, 1152, 513, 3923, 1354, 267, 1517, 3481, 856, 2614, 8673, 547, 3382, 4516, 779, 23898, 267, 5215, 540, 5195, 2476, 269, 4678, 550, 3002, 543, 7509, 1185, 13671, 972, 267, 2679, 543, 2679, 998, 606, 796, 333, 6334, 1279, 543, 3905, 4832, 4005, 563, 12024, 513, 19996, 267, 922, 12269, 6287, 1229, 267, 15292, 532, 856, 609, 11018, 4222, 547, 14213, 519, 9808, 559, 543, 18604, 4672, 269, 634, 9649, 7088, 875, 1194, 267, 11488, 476, 4792, 13304, 12656, 16923, 12798, 998, 519, 932, 4157, 14024, 7256, 267, 543, 17935, 922, 535, 1722, 2269, 527, 693, 519, 11848, 779, 2295, 269, 898, 25653, 2620, 689, 3002, 543, 7509, 14425, 547, 519, 5045, 267, 513, 2707, 540, 1648, 1152, 5063, 1500, 2139, 676, 1480, 27351, 4310, 8337, 269, 1656, 621, 6170, 602, 1007, 1922, 895, 1522, 538, 513, 29990, 9514, 1996, 519, 18418, 2299, 18604, 4672, 269, 31515, 540, 476, 277, 267, 476, 279, 267, 476, 1321, 3952, 887, 1563, 936, 519, 6094, 569, 13792, 4262, 267, 8840, 621, 883, 513, 1793, 25744, 543, 11544, 621, 609, 519, 15911, 4478, 5836, 607, 952, 538, 606, 11999, 1025, 2658, 269, 1879, 634, 4279, 11848, 20676, 821, 540, 476, 1001, 273, 6368, 5747, 856, 12341, 2282, 519, 3345, 24504, 267, 7366, 540, 5215, 540, 4009, 5195, 540, 4262, 4672, 1185, 1044, 669, 29354, 909, 267, 838, 527, 856, 267, 24268, 563, 5804, 938, 829, 577, 1164, 1657, 519, 3047, 267, 689, 938, 1413, 719, 998, 519, 5545, 6611, 10837, 30778, 9682, 3750, 267, 519, 4262, 4672, 1175, 1991, 547, 519, 3018, 17489, 4279, 11848, 20676, 821, 540, 476, 1001, 273, 6743, 899, 713, 912, 4517, 267, 26063, 267, 1034, 540, 519, 4672, 538, 519, 5318, 932, 4157, 14024, 7256, 1185, 1044, 23498, 2476, 269, 9253, 1540, 538, 519, 7088, 779, 535, 1722, 610, 14593, 2620, 883, 519, 1164, 11848, 267, 9141, 1996, 602, 3803, 12765, 816, 585, 7187, 4672, 281, 23529, 563, 3719, 519, 1650, 540, 476, 1001, 273, 779, 14686, 15835, 729, 2484, 689, 936, 269, 634, 1631, 6094, 2740, 543, 7088, 32734, 2586, 539, 4672, 4797, 922, 3232, 7771, 585, 811, 982, 513, 3923, 1310, 519, 30635, 1137, 540, 634, 4279, 11848, 20676, 821, 540, 476, 1001, 273, 705, 730, 267, 6368, 8757, 513, 1533, 2484, 267, 2484, 21260, 982, 1256, 519, 15265, 1032, 540, 476, 1220, 278, 269, 898, 2451, 519, 11848, 609, 827, 3368, 519, 4672, 3795, 2938, 1282, 519, 476, 2735, 271, 338, 269, 1323, 4672, 3795, 602, 568, 1631, 849, 2484, 267, 2484, 25182, 563, 1432, 649, 666, 1491, 2476, 689, 519, 4262, 4672, 779, 7771, 2094, 519, 476, 2735, 271, 338, 543, 922, 10213, 1032, 540, 10795, 543, 1954, 752, 880, 2530, 538, 476, 1001, 273, 568, 513, 2241, 5048, 912, 763, 4672, 786, 581, 8854, 4166, 269, 634, 1152, 2243, 568, 875, 4166, 563, 288, 26626, 540, 13809, 1635, 519, 10606, 454, 1103, 16460, 519, 2243, 540, 875, 4166, 519, 2063, 1507, 20276, 656, 540, 11848, 4262, 4672, 786, 642, 4314, 267, 6408, 547, 519, 3532, 4229, 938, 1480, 1158, 814, 1305, 10690, 2390, 621, 267, 649, 1058, 1491, 513, 1413, 693, 519, 2338, 267, 693, 1018, 649, 917, 814, 2097, 1354, 267, 543, 693, 1141, 519, 3466, 616, 3056, 563, 1103, 2921, 713, 3803, 20276, 656, 540, 4672, 883, 2272, 267, 649, 723, 1614, 3800, 269, 1358, 1331, 4262, 4672, 6708, 267, 4262, 4672, 1858, 267, 543, 4262, 4672, 4320, 269, 3962, 6482, 814, 922, 1378, 9661, 547, 2995, 543, 1142, 9661, 666, 2285, 721, 930, 2856, 607, 547, 950, 4262, 4672, 786, 6368, 3111, 2443, 1101, 693, 519, 1439, 540, 4832, 267, 543, 2063, 585, 782, 942, 543, 585, 782, 12405, 563, 763, 26626, 540, 7256, 10979, 6987, 550, 281, 10793, 29778, 779, 1744, 8667, 532, 14022, 454, 5353, 320, 4672, 6708, 568, 513, 2268, 540, 875, 2484, 519, 4262, 4672, 6316, 10301, 269, 1403, 649, 1491, 519, 8473, 540, 519, 6024, 21286, 6316, 540, 519, 8701, 4672, 543, 2721, 513, 1899, 1472, 621, 267, 782, 4525, 1369, 602, 5858, 616, 18886, 607, 851, 540, 4262, 4672, 6708, 269, 6987, 550, 1281, 711, 1293, 9475, 538, 519, 4672, 269, 1924, 713, 6482, 949, 1331, 930, 1930, 1216, 2127, 3297, 519, 6708, 8473, 563, 10000, 2394, 476, 3192, 280, 267, 938, 1655, 7422, 585, 4262, 4672, 6708, 3357, 689, 5359, 6394, 676, 9635, 269, 1809, 1256, 891, 5544, 1399, 6589, 941, 2614, 547, 1397, 513, 3500, 267, 1279, 3856, 7771, 538, 4262, 4672, 2094, 519, 2038, 476, 736, 628, 11416, 269, 1548, 9682, 7403, 1705, 729, 1118, 4262, 4672, 6708, 543, 1858, 3800, 2484, 811, 4977, 563, 1103, 476, 3192, 280, 267, 4262, 4672, 6708, 6027, 476, 278, 269, 273, 2929, 4009, 12919, 2687, 547, 519, 1101, 6482, 1305, 6394, 676, 519, 2817, 16176, 543, 10979, 4578, 4741, 630, 10064, 2839, 290, 1040, 15937, 4262, 4672, 6708, 585, 1439, 540, 476, 1001, 273, 729, 476, 274, 269, 277, 2929, 4009, 12919, 269, 589, 3308, 3113, 540, 713, 476, 3451, 1032, 7771, 729, 7768, 676, 32632, 16803, 543, 666, 581, 2938, 1934, 912, 2026, 596, 666, 1294, 689, 519, 3113, 267, 4262, 4672, 6708, 7444, 1427, 8972, 998, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 269, 634, 476, 1960, 271, 338, 4951, 8101, 3328, 9271, 269, 1809, 519, 2557, 540, 2530, 729, 1869, 5266, 3500, 269, 4634, 519, 2038, 476, 1220, 271, 338, 267, 950, 3168, 693, 6708, 3800, 4805, 267, 3085, 1406, 2285, 721, 1022, 2312, 16315, 602, 649, 616, 593, 519, 2357, 613, 540, 513, 4028, 267, 10795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1944, 1569, 547, 1164, 6752, 543, 4396, 4328, 1010, 4567, 607, 513, 5075, 776, 13820, 655, 6033, 5827, 540, 28043, 519, 7934, 1063, 9583, 11685, 531, 10600, 780, 6962, 1384, 7437, 6313, 519, 2729, 543, 11678, 540, 1744, 11921, 853, 1380, 344, 267, 6276, 8614, 6277, 807, 267, 543, 5164, 326, 559, 2806, 331, 2129, 267, 713, 3184, 6322, 547, 8774, 1769, 593, 930, 540, 519, 10747, 5515, 3743, 585, 4412, 2454, 8265, 18875, 883, 519, 2686, 20750, 6625, 269, 4256, 9757, 4485, 547, 1374, 267, 6725, 267, 543, 5698, 6542, 519, 11684, 1761, 540, 713, 9135, 1247, 8195, 25967, 1681, 922, 11972, 9029, 780, 11101, 267, 676, 8220, 891, 3140, 6386, 547, 1459, 6377, 11407, 4478, 6752, 267, 5876, 267, 543, 16450, 267, 649, 4126, 547, 8300, 2565, 8086, 593, 519, 1909, 8265, 18875, 4249, 1369, 6626, 6848, 8658, 269, 11086, 267, 1620, 519, 4720, 540, 8265, 18875, 3340, 14344, 519, 3309, 5044, 540, 9739, 7700, 547, 922, 3638, 13795, 267, 4180, 602, 2104, 5481, 949, 3136, 2679, 2390, 713, 7524, 9371, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31388, 267, 4873, 476, 1789, 267, 476, 1001, 275, 454, 2171, 4183, 1142, 3018, 22956, 1234, 573, 781, 8039, 543, 8292, 593, 1007, 543, 2487, 2835, 454, 2108, 295, 8582, 25723, 31087, 4932, 21612, 1107, 1715, 10215, 619, 543, 519, 3689, 2622, 2782, 892, 12995, 676, 8176, 12113, 337, 718, 543, 16452, 25599, 11089, 630, 309, 1112, 18319, 2160, 4964, 267, 1269, 301, 313, 2412, 994, 296, 798, 711, 3409, 547, 581, 267, 543, 723, 2760, 10645, 547, 581, 267, 606, 4274, 593, 1715, 10215, 779, 6114, 547, 519, 3689, 2622, 2782, 267, 855, 594, 4440, 917, 811, 827, 519, 1641, 982, 519, 3328, 5467, 269, 769, 851, 713, 568, 1317, 594, 2899, 5206, 519, 12092, 540, 18825, 945, 2968, 3238, 538, 519, 931, 5524, 27900, 538, 1715, 10215, 1282, 602, 2112, 630, 22832, 18466, 5903, 517, 1107, 589, 5020, 267, 15117, 2160, 4964, 267, 476, 1220, 277, 1040, 769, 851, 621, 568, 1317, 594, 6170, 835, 19496, 693, 519, 2160, 540, 17305, 6210, 7555, 538, 585, 7905, 8751, 7935, 3183, 543, 7898, 1005, 593, 1715, 10215, 538, 519, 3689, 2622, 2782, 1107, 543, 2663, 8120, 547, 519, 1482, 6280, 543, 6026, 513, 1957, 593, 1715, 10215, 896, 519, 27565, 543, 21637, 6608, 267, 8720, 519, 1482, 2489, 5736, 269, 1656, 538, 851, 621, 568, 1317, 594, 723, 513, 1920, 4108, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 22901, 18875, 27505, 619, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 22960, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7442, 673, 5843, 338, 29864, 281, 589, 18043, 16709, 692, 1103, 1439, 16599, 545, 2259, 267, 3284, 673, 31442, 29864, 814, 7153, 607, 513, 2629, 5650, 6322, 693, 5883, 10770, 31971, 2784, 7781, 15087, 5103, 7850, 3597, 12324, 3797, 269, 634, 3119, 6662, 540, 713, 10551, 6304, 568, 547, 9004, 3968, 267, 3895, 7067, 267, 8190, 5694, 2497, 267, 543, 2226, 1599, 269, 769, 1931, 547, 3035, 891, 3853, 267, 621, 781, 1898, 547, 723, 513, 9488, 1620, 540, 1585, 3344, 2404, 609, 3284, 673, 8020, 3464, 657, 29864, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 3284, 673, 31442, 29864, 1369, 519, 2796, 540, 1439, 16599, 923, 267, 3695, 922, 24117, 267, 23053, 267, 2553, 267, 2591, 267, 543, 7760, 780, 305, 1049, 324, 585, 7442, 673, 5843, 338, 29864, 454, 29432, 763, 3119, 3804, 540, 6671, 3597, 12324, 3797, 568, 547, 8499, 632, 1962, 728, 267, 21149, 267, 543, 1073, 339, 23847, 519, 17870, 2230, 269, 1717, 267, 1813, 547, 10848, 971, 607, 1569, 800, 23668, 267, 14694, 23668, 267, 543, 3284, 673, 29298, 267, 2347, 17594, 540, 4551, 949, 711, 2141, 581, 15164, 998, 1875, 1606, 17790, 2409, 4805, 269, 6431, 11962, 3968, 1739, 2757, 3597, 12324, 3797, 1522, 28173, 2417, 7459, 899, 3284, 673, 31442, 29864, 269, 3958, 267, 26715, 7648, 267, 27564, 6959, 1282, 3355, 2126, 267, 610, 27644, 8374, 1223, 849, 1291, 547, 31971, 2784, 7781, 2619, 2670, 8506, 10551, 2359, 780, 5715, 10716, 585, 7442, 673, 5843, 338, 29864, 454, 5785, 14945, 4407, 1169, 4674, 1058, 581, 1500, 547, 18359, 2067, 4522, 3842, 20060, 17790, 4485, 267, 1978, 3871, 15549, 7156, 540, 3284, 673, 31442, 29864, 1384, 272, 269, 2878, 25324, 11962, 3131, 328, 2784, 7781, 15776, 542, 4995, 1879, 10237, 4919, 2963, 6920, 5821, 540, 3105, 3597, 12324, 5574, 543, 2589, 6414, 5103, 1427, 13015, 3646, 267, 3284, 673, 6391, 3587, 606, 3617, 7156, 563, 273, 269, 2878, 1103, 17739, 2225, 4995, 29726, 609, 18287, 1881, 23668, 610, 24466, 22114, 17021, 3044, 31627, 4101, 949, 4324, 689, 3284, 673, 31442, 29864, 563, 274, 269, 2878, 293, 847, 3293, 17848, 9669, 4995, 13880, 673, 8851, 540, 5762, 3293, 3597, 4388, 4553, 676, 1427, 5766, 8565, 11423, 13054, 1776, 16315, 585, 3284, 673, 31442, 29864, 563, 275, 269, 2878, 4910, 26975, 4347, 31637, 4995, 24498, 759, 528, 696, 633, 12889, 14178, 1016, 3101, 643, 958, 949, 2154, 10551, 6304, 7258, 9647, 690, 8565, 2126, 563, 276, 269, 2878, 291, 839, 12833, 698, 514, 9850, 1299, 4033, 13216, 1323, 10095, 625, 4995, 25833, 4731, 845, 725, 9306, 7965, 538, 2447, 334, 24578, 22817, 7041, 949, 991, 10551, 6304, 563, 277, 269, 2878, 24426, 10973, 15448, 4995, 27418, 27109, 2166, 10973, 7004, 3747, 5401, 3007, 282, 952, 1804, 2614, 267, 789, 949, 28173, 679, 16197, 566, 2059, 609, 3284, 673, 31442, 29864, 563, 278, 269, 2878, 9199, 6373, 5004, 4995, 5403, 32034, 7063, 10483, 676, 12743, 566, 610, 1285, 13955, 3006, 1267, 538, 7294, 13862, 268, 10174, 19383, 799, 666, 581, 9619, 4907, 1227, 563, 279, 269, 2878, 3412, 8690, 23299, 4995, 12769, 31531, 267, 8959, 18032, 4092, 2673, 547, 1271, 3889, 1522, 1289, 585, 10551, 10868, 543, 10682, 609, 1007, 3283, 780, 306, 17790, 26435, 11137, 454, 10900, 14945, 306, 22066, 11056, 540, 3284, 673, 31442, 29864, 12346, 8185, 593, 22111, 840, 10869, 4058, 13745, 609, 5730, 6388, 269, 14224, 2218, 3268, 4125, 4791, 6514, 267, 10237, 4919, 6268, 1210, 595, 6195, 307, 9196, 267, 2199, 23236, 7245, 267, 1166, 777, 1374, 267, 1651, 1707, 267, 8086, 267, 11560, 30315, 267, 3597, 15134, 1191, 794, 267, 24318, 21319, 3597, 15134, 7041, 267, 1427, 19745, 3739, 267, 5160, 1065, 3789, 532, 267, 521, 583, 1005, 267, 2022, 10869, 5528, 267, 543, 1246, 5346, 10526, 269, 3962, 3942, 3340, 6297, 18064, 3130, 543, 4274, 7829, 780, 29936, 1299, 10298, 454, 2411, 19567, 8601, 6639, 8441, 267, 3875, 2591, 2611, 7915, 547, 3284, 673, 31442, 29864, 1519, 3908, 15287, 267, 16133, 547, 4105, 3889, 267, 1981, 540, 8229, 5945, 267, 20178, 720, 1852, 267, 1761, 585, 1775, 520, 4088, 545, 3441, 267, 543, 4756, 7067, 4093, 269, 14146, 532, 3172, 2305, 1949, 267, 4359, 26149, 3457, 267, 2890, 514, 11584, 906, 267, 11461, 12445, 2645, 267, 543, 12561, 30194, 12362, 2994, 948, 11574, 930, 540, 891, 4220, 1247, 7393, 3589, 1464, 543, 1967, 3928, 780, 13146, 21992, 906, 1299, 8892, 19648, 454, 14343, 692, 28757, 7835, 538, 3284, 673, 31442, 29864, 3136, 11319, 6302, 2509, 3152, 8856, 267, 6111, 267, 543, 7145, 269, 2368, 8037, 10124, 1331, 3059, 10551, 10274, 267, 27532, 11257, 267, 29113, 2861, 2326, 267, 6565, 1591, 1382, 267, 6676, 2280, 30211, 3498, 267, 2584, 17871, 771, 26529, 267, 476, 274, 291, 8228, 2029, 267, 5841, 4987, 5610, 267, 543, 18951, 6351, 269, 1452, 24567, 4066, 9153, 547, 22499, 1439, 16599, 545, 10551, 2853, 22338, 1259, 585, 4824, 3461, 1416, 543, 4093, 780, 6962, 454, 29603, 8139, 519, 16082, 540, 3284, 673, 31442, 29864, 28382, 19353, 609, 3407, 1702, 2556, 585, 6099, 3375, 1818, 950, 5185, 609, 973, 531, 31842, 7949, 2665, 14053, 811, 982, 6296, 1439, 16599, 545, 3797, 269, 1635, 8508, 2413, 6186, 3512, 10740, 543, 5499, 16097, 267, 9439, 1796, 26405, 547, 5838, 1533, 6361, 7308, 19603, 1416, 16135, 538, 3621, 22759, 543, 4791, 1035, 18210, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 645, 9169, 25328, 540, 15482, 17889, 4110, 543, 519, 2140, 540, 16362, 630, 7804, 264, 616, 13752, 2390, 3811, 12032, 540, 713, 1134, 2000, 27419, 15938, 25185, 10872, 256, 898, 568, 519, 2034, 4781, 602, 1053, 3442, 538, 519, 2361, 540, 2564, 2069, 267, 1310, 519, 15406, 7034, 10872, 563, 10743, 538, 519, 645, 9169, 10872, 4309, 2866, 547, 5512, 873, 547, 26821, 25185, 593, 741, 1378, 610, 609, 6413, 15569, 269, 901, 1576, 11414, 519, 1983, 2556, 585, 519, 6604, 267, 5868, 267, 543, 2126, 540, 4713, 602, 1860, 519, 4522, 267, 5023, 267, 28287, 267, 543, 824, 1644, 8031, 563, 12234, 267, 519, 4110, 6437, 568, 5140, 585, 8600, 1053, 585, 519, 13781, 267, 543, 972, 616, 1896, 16548, 538, 519, 3782, 267, 14453, 267, 543, 2564, 3926, 5663, 9922, 269, 2991, 6707, 11264, 519, 2185, 4458, 4081, 10872, 543, 519, 835, 4458, 2838, 22631, 1222, 10872, 538, 5959, 2069, 3056, 547, 519, 25328, 540, 15482, 17889, 4110, 10872, 267, 519, 645, 9169, 4110, 568, 11292, 269, 1411, 616, 14718, 547, 960, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25721, 673, 5843, 338, 29864, 257, 607, 851, 540, 834, 25503, 1315, 19239, 3588, 1315, 7736, 16599, 923, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3460, 998, 1686, 547, 2263, 519, 4241, 3148, 1634, 607, 519, 26811, 753, 267, 4481, 513, 1747, 1572, 24230, 26785, 256, 901, 1858, 568, 4092, 538, 25878, 2342, 543, 19646, 18198, 10239, 543, 3638, 2686, 1686, 269, 634, 1004, 945, 2661, 972, 723, 5072, 602, 3914, 1394, 5215, 540, 1296, 543, 741, 2244, 6585, 2984, 540, 23693, 267, 10764, 267, 1148, 267, 543, 12959, 269, 1924, 1577, 781, 4685, 883, 713, 6909, 7045, 1927, 2439, 5575, 267, 1018, 1281, 1412, 298, 657, 26785, 262, 1611, 286, 4270, 267, 621, 2501, 689, 1079, 23577, 545, 1913, 910, 1412, 330, 657, 10086, 2495, 3109, 12704, 267, 543, 1412, 31673, 16660, 10086, 799, 1797, 2361, 269, 10925, 873, 1927, 267, 543, 596, 1205, 4563, 12704, 12197, 1107, 3833, 19621, 267, 3884, 1406, 621, 286, 3683, 942, 267, 1082, 1114, 2516, 540, 1004, 3357, 547, 1289, 713, 1747, 1753, 267, 6028, 3297, 4190, 6189, 543, 2189, 5389, 269, 1411, 1522, 1256, 2161, 789, 2451, 3297, 7574, 4967, 602, 11100, 32069, 538, 2221, 779, 3309, 2486, 780, 3086, 267, 4952, 6972, 1524, 519, 10754, 540, 2398, 880, 339, 2088, 267, 24230, 26785, 781, 7524, 3854, 269, 1548, 1131, 596, 1294, 286, 8479, 17137, 10004, 1154, 936, 6995, 693, 18241, 9205, 22538, 15530, 282, 5159, 5373, 6667, 689, 10477, 1178, 29201, 9597, 1023, 282, 6148, 2576, 9513, 8949, 19471, 2250, 1845, 4904, 609, 25888, 610, 10381, 269, 1809, 7227, 267, 1413, 6251, 1862, 7474, 26009, 2497, 3081, 834, 6124, 9799, 257, 593, 621, 269, 3143, 267, 1810, 1405, 5855, 267, 621, 3085, 1405, 24901, 1022, 8594, 6619, 269, 5502, 267, 621, 16033, 919, 1945, 9058, 281, 950, 24230, 26785, 2968, 606, 4830, 4182, 538, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 657, 26785, 630, 2704, 3316, 1014, 281, 24230, 13960, 630, 3698, 9548, 1106, 264, 610, 24230, 990, 25612, 630, 785, 1030, 9548, 1106, 1070, 5395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 3885, 269, 901, 2883, 13190, 711, 1152, 4824, 741, 2713, 4441, 855, 849, 1128, 2683, 513, 2631, 540, 16882, 267, 6043, 267, 543, 4126, 1369, 891, 2112, 2389, 1941, 2950, 563, 763, 13710, 1379, 540, 29370, 12099, 538, 5807, 4708, 666, 581, 11911, 547, 1896, 2188, 912, 268, 7457, 1043, 5491, 6087, 2043, 689, 12790, 10080, 547, 3715, 4264, 24454, 563, 268, 11038, 10014, 6971, 2804, 16526, 543, 8992, 8739, 20300, 6617, 563, 268, 16842, 7694, 3255, 1291, 547, 4389, 6760, 3928, 543, 2949, 6848, 1134, 5630, 563, 268, 5843, 325, 12099, 7341, 5000, 2146, 5698, 998, 1895, 23831, 3631, 563, 268, 1635, 5009, 7104, 5539, 543, 12477, 1851, 10210, 619, 267, 789, 6536, 3972, 543, 9316, 1369, 2199, 2950, 563, 268, 16237, 6533, 539, 1514, 13218, 11574, 4655, 4220, 676, 8716, 5188, 267, 6568, 267, 543, 8994, 1489, 563, 268, 5843, 325, 12099, 7459, 1419, 4225, 16779, 2021, 17215, 563, 268, 11038, 7115, 10597, 4008, 7862, 543, 2591, 2757, 4008, 8155, 563, 268, 6468, 779, 3742, 7589, 538, 2804, 2238, 8309, 547, 8537, 1646, 1247, 4227, 4008, 2861, 5208, 563, 268, 20865, 1569, 547, 8804, 2636, 2043, 547, 1902, 538, 2069, 585, 2933, 543, 741, 1453, 563, 268, 24046, 3872, 3255, 1711, 11444, 856, 540, 6710, 267, 4227, 519, 10171, 540, 9525, 538, 5208, 543, 4655, 563, 8368, 281, 8177, 540, 5843, 325, 12099, 9024, 328, 2510, 593, 13458, 995, 4886, 454, 347, 30356, 853, 1464, 1475, 1700, 24770, 5786, 1475, 1700, 16842, 4747, 5108, 2008, 347, 1700, 16763, 5137, 1475, 1700, 24046, 3044, 540, 2713, 2008, 347, 12892, 3213, 1127, 542, 1475, 1700, 11565, 2679, 1475, 1700, 16237, 6533, 539, 2146, 13218, 2008, 347, 1700, 18366, 6604, 1475, 1700, 5927, 10062, 2199, 2950, 2008, 347, 18131, 25085, 618, 1475, 1700, 13834, 7862, 1475, 1700, 28304, 2757, 4008, 5107, 2008, 347, 1700, 25841, 13438, 547, 5208, 1475, 1700, 20865, 3375, 6194, 1379, 585, 2021, 2008, 347, 19733, 19662, 1475, 1700, 27915, 29076, 6710, 9979, 1475, 1700, 7457, 547, 2298, 2069, 2008, 1103, 5758, 267, 29370, 12099, 7341, 723, 519, 1761, 547, 6536, 4708, 676, 5466, 2804, 13103, 267, 5009, 1514, 22122, 267, 16779, 12790, 2516, 267, 543, 7393, 2069, 3255, 269, 3414, 3015, 5491, 543, 1489, 5121, 267, 891, 7341, 3565, 711, 1152, 547, 6710, 10970, 2747, 855, 849, 547, 1279, 3856, 6617, 1369, 7239, 4299, 676, 4655, 269, 1635, 9301, 519, 6626, 1764, 540, 29370, 12099, 3564, 6071, 2883, 12374, 267, 14519, 666, 10244, 922, 13710, 1379, 547, 1628, 12560, 543, 25133, 2950, 5001, 269, 0, 2414, 2057, 17154, 13386, 267, 596, 666, 1904, 585, 824, 2030, 2861, 3940, 2959, 971, 607, 21378, 2812, 267, 7105, 701, 553, 267, 844, 29184, 267, 10808, 267, 543, 5452, 269, 3958, 267, 2542, 12146, 10297, 543, 9319, 9268, 3536, 602, 949, 2270, 13386, 16755, 666, 948, 596, 27464, 2312, 540, 17154, 13386, 2472, 563, 3383, 1577, 721, 4983, 519, 7662, 811, 5702, 454, 2414, 2057, 17154, 13386, 267, 972, 616, 1896, 8925, 602, 596, 666, 6451, 883, 707, 2732, 269, 2755, 13386, 568, 513, 2442, 2030, 2861, 3940, 2707, 585, 1654, 7540, 267, 972, 616, 7899, 540, 824, 3681, 2139, 547, 2327, 513, 1134, 28394, 2331, 543, 3309, 2732, 563, 299, 550, 2812, 281, 30766, 2812, 616, 513, 1390, 2707, 540, 3940, 267, 6775, 267, 543, 6886, 269, 1358, 616, 11684, 543, 666, 581, 1031, 538, 1585, 8286, 267, 1519, 27130, 267, 25235, 267, 543, 12403, 338, 563, 2419, 1157, 701, 553, 281, 19529, 701, 553, 267, 849, 1634, 607, 6095, 3316, 15605, 10365, 267, 616, 3638, 538, 3940, 267, 6775, 267, 543, 4401, 269, 1358, 666, 581, 11273, 543, 6039, 538, 25235, 267, 28777, 607, 513, 15165, 267, 610, 11792, 1117, 547, 1118, 1208, 16443, 563, 5226, 29184, 281, 2372, 29184, 568, 513, 2347, 3940, 2707, 267, 5627, 782, 1898, 11254, 7408, 269, 898, 568, 15347, 6954, 267, 1164, 538, 6775, 267, 543, 14095, 609, 8324, 543, 6886, 269, 2372, 29184, 666, 581, 1031, 607, 513, 3490, 585, 25235, 267, 3773, 547, 27130, 267, 610, 1031, 607, 513, 12990, 585, 7573, 563, 301, 7491, 543, 5452, 281, 715, 7491, 543, 5452, 267, 971, 607, 30646, 267, 9267, 22756, 267, 669, 807, 5452, 267, 543, 23741, 5452, 267, 1683, 3940, 267, 2635, 9600, 267, 543, 1898, 5567, 269, 1358, 666, 581, 13881, 607, 513, 15165, 267, 3773, 547, 5347, 625, 610, 24799, 267, 610, 1031, 547, 1118, 8949, 2030, 2861, 5144, 563, 1103, 1840, 547, 891, 8925, 267, 2542, 12146, 10297, 568, 2629, 547, 2057, 2472, 609, 13386, 16755, 269, 6713, 539, 3536, 1419, 2270, 13386, 607, 513, 6456, 12146, 267, 865, 1373, 3222, 540, 713, 666, 948, 596, 1118, 5483, 5079, 269, 898, 779, 849, 6225, 547, 2263, 19471, 10346, 543, 5986, 689, 15072, 267, 607, 621, 2636, 596, 547, 723, 1732, 1852, 936, 519, 5820, 596, 946, 563, 288, 4583, 10839, 1644, 547, 519, 1888, 2501, 689, 15751, 18160, 267, 945, 1767, 267, 968, 301, 5847, 786, 4324, 1480, 1072, 543, 2333, 519, 8458, 585, 6668, 540, 1272, 593, 3047, 607, 1454, 607, 519, 4720, 547, 513, 20757, 2732, 1848, 901, 10839, 11363, 519, 2956, 540, 2030, 2861, 11326, 538, 5009, 1072, 543, 6940, 563, 19950, 532, 5013, 827, 17154, 13386, 8925, 912, 268, 30766, 2812, 723, 1044, 16916, 585, 936, 476, 279, 267, 1822, 1296, 543, 616, 835, 540, 519, 9510, 1634, 7031, 563, 268, 19529, 701, 553, 941, 1101, 19122, 538, 519, 5664, 5101, 1472, 476, 278, 267, 1822, 1296, 3516, 543, 723, 1044, 513, 20013, 538, 1082, 32345, 5001, 563, 268, 2372, 29184, 568, 711, 20248, 513, 10286, 855, 2864, 513, 6079, 543, 568, 2808, 513, 15988, 797, 1813, 547, 922, 1164, 9422, 1871, 563, 268, 715, 7491, 543, 5452, 723, 1044, 10057, 676, 3425, 585, 5215, 540, 1296, 543, 941, 2808, 547, 581, 513, 3090, 540, 1272, 543, 12680, 538, 3504, 4529, 563, 19350, 568, 513, 3349, 28388, 519, 17154, 13386, 8925, 912, 347, 309, 1122, 534, 590, 1195, 10201, 2510, 1475, 19119, 1475, 5825, 720, 2008, 30054, 550, 2812, 1475, 11947, 3940, 267, 6775, 267, 543, 6886, 1475, 306, 537, 1186, 267, 25235, 267, 12403, 338, 267, 543, 2427, 8286, 2008, 347, 2419, 1157, 701, 553, 1475, 3682, 12888, 267, 6775, 267, 543, 4401, 11656, 1475, 21946, 6758, 267, 1208, 16443, 267, 28777, 16152, 2008, 347, 5226, 29184, 1475, 28415, 3940, 267, 15347, 6954, 1475, 21946, 6758, 267, 27130, 267, 7573, 12990, 2008, 347, 301, 7491, 543, 5452, 1475, 3682, 12888, 267, 2635, 9600, 267, 543, 5567, 1475, 27409, 2931, 267, 5347, 625, 267, 2030, 2861, 5144, 267, 543, 24799, 2008, 8855, 267, 6220, 513, 3099, 540, 891, 8925, 883, 707, 2732, 666, 2327, 596, 4309, 513, 2647, 2039, 540, 5567, 543, 10366, 1247, 9319, 17154, 13386, 563, 25215, 2945, 3842, 3381, 454, 7804, 269, 3026, 531, 4446, 333, 731, 11828, 519, 2640, 540, 10438, 13386, 2472, 267, 799, 616, 513, 2635, 1840, 547, 513, 2732, 607, 789, 2270, 1100, 8501, 543, 2370, 15459, 3170, 269, 590, 1195, 849, 3568, 568, 1993, 15442, 2158, 602, 666, 723, 2318, 2360, 593, 519, 1560, 676, 9117, 607, 513, 2860, 15324, 269, 6468, 945, 8532, 13386, 723, 513, 476, 1789, 260, 2539, 4960, 540, 3384, 6089, 2860, 267, 1247, 2367, 945, 8532, 13386, 723, 513, 476, 3066, 260, 2539, 4960, 540, 17150, 2860, 269, 590, 1195, 568, 513, 11684, 12146, 543, 513, 2635, 4781, 585, 519, 2898, 1920, 563, 2080, 616, 930, 824, 4267, 547, 707, 2243, 454, 1692, 547, 22732, 547, 513, 590, 1195, 5131, 12098, 534, 10791, 281, 2422, 995, 5253, 15240, 4801, 454, 268, 674, 3305, 270, 2169, 571, 6109, 31949, 2443, 285, 10365, 610, 23741, 31949, 563, 268, 8125, 5287, 31949, 2443, 285, 17154, 18506, 563, 268, 590, 1195, 3765, 334, 13594, 2443, 285, 7105, 701, 320, 3765, 334, 563, 268, 590, 1195, 5144, 2443, 285, 824, 2010, 540, 1875, 1673, 8543, 5144, 563, 268, 7641, 303, 270, 4811, 303, 13478, 1195, 1225, 3149, 2443, 285, 844, 29184, 543, 824, 9274, 563, 268, 590, 1195, 18506, 2443, 285, 17310, 610, 30288, 18506, 563, 306, 675, 569, 596, 786, 581, 5461, 538, 713, 454, 6097, 569, 267, 1772, 621, 2009, 547, 581, 513, 13386, 1863, 17154, 888, 25215, 2945, 547, 713, 281, 8672, 568, 267, 547, 581, 17154, 596, 1810, 1406, 991, 547, 3548, 13386, 543, 621, 779, 2731, 2653, 547, 2057, 621, 952, 596, 723, 547, 610, 1616, 547, 269, 634, 13557, 540, 513, 2635, 17154, 2732, 2443, 5613, 267, 5388, 267, 2898, 9274, 267, 10365, 543, 21378, 2812, 616, 782, 13386, 6954, 256, 5620, 513, 4062, 540, 4829, 610, 930, 6151, 19787, 547, 562, 756, 1076, 593, 585, 513, 6640, 15165, 952, 596, 2461, 17237, 563, 8138, 8019, 267, 1548, 666, 594, 3548, 952, 594, 666, 1406, 723, 13386, 888, 21270, 1197, 1137, 1475, 300, 20488, 267, 4829, 10433, 267, 3327, 730, 16098, 267, 918, 944, 5025, 573, 267, 23342, 267, 3905, 10217, 267, 19676, 14134, 267, 4639, 3630, 324, 19676, 27276, 2008, 21270, 1348, 14727, 571, 1188, 619, 1475, 306, 344, 6929, 3694, 267, 3943, 3694, 2008, 18871, 699, 1023, 1475, 302, 520, 22596, 282, 31201, 540, 19676, 282, 31201, 540, 5453, 520, 282, 12019, 24799, 609, 4847, 5820, 282, 24583, 1023, 1510, 13386, 630, 13765, 10297, 10245, 11101, 267, 1215, 547, 1205, 3940, 1510, 13386, 17154, 888, 1321, 7454, 19871, 7304, 747, 7233, 16639, 602, 3657, 590, 1195, 6363, 872, 267, 3794, 9790, 6363, 872, 267, 717, 1778, 6363, 872, 543, 6181, 2541, 6363, 872, 454, 268, 670, 11391, 5452, 269, 6684, 547, 669, 807, 5452, 267, 23741, 5452, 616, 513, 2347, 3940, 563, 268, 27124, 7219, 25994, 563, 268, 6129, 17810, 5452, 563, 9827, 5700, 267, 1548, 17154, 3536, 723, 13386, 286, 15863, 786, 581, 281, 898, 666, 1031, 607, 513, 20892, 610, 538, 1747, 540, 5144, 538, 5986, 563, 268, 590, 1195, 715, 7491, 269, 10162, 16556, 13386, 10808, 616, 2898, 13386, 28369, 602, 723, 1044, 865, 8898, 538, 1216, 543, 1287, 19323, 2394, 536, 27547, 563, 268, 590, 1195, 28397, 576, 630, 307, 600, 926, 267, 1744, 1195, 340, 543, 6833, 12011, 13403, 994, 268, 7956, 3293, 590, 1195, 19871, 563, 268, 19940, 590, 1195, 28369, 563, 12024, 3772, 267, 3657, 972, 13386, 6954, 17154, 10346, 286, 8382, 547, 713, 281, 590, 1195, 6954, 17154, 10346, 256, 1403, 596, 723, 13386, 11959, 610, 3274, 9363, 2476, 689, 13386, 267, 596, 3580, 1265, 7899, 540, 2635, 267, 8949, 13386, 6954, 2030, 2861, 10346, 585, 14254, 267, 12899, 267, 12129, 267, 18397, 267, 543, 3388, 538, 1063, 2336, 4692, 1654, 7540, 3548, 13386, 286, 8382, 547, 713, 281, 590, 1195, 3276, 7970, 267, 13386, 3905, 5243, 267, 13386, 5144, 267, 31949, 267, 1661, 701, 327, 9789, 572, 616, 782, 1455, 3536, 602, 1082, 1654, 7540, 3548, 269, 12287, 958, 267, 594, 6557, 15502, 609, 4189, 513, 1906, 32122, 540, 13386, 1142, 1554, 267, 855, 1018, 952, 596, 2461, 606, 14971, 17154, 945, 666, 1406, 610, 3085, 1406, 1616, 547, 8532, 13386, 286, 2052, 596, 581, 17154, 1510, 13386, 286, 589, 2635, 17154, 2732, 1281, 711, 2154, 13386, 563, 17357, 22046, 5944, 267, 2052, 596, 3548, 13386, 952, 596, 723, 513, 13386, 14711, 286, 15863, 547, 713, 281, 16639, 602, 2270, 13386, 1810, 1406, 2141, 723, 519, 2262, 834, 810, 344, 257, 593, 519, 1587, 6003, 269, 901, 666, 1118, 10918, 610, 18226, 856, 811, 2352, 952, 596, 723, 513, 13386, 14711, 610, 1616, 547, 9004, 13386, 689, 707, 2732, 585, 824, 4128, 269, 17164, 12579, 543, 1654, 7540, 949, 581, 2523, 13934, 563, 9617, 865, 267, 1548, 568, 513, 13386, 6954, 2732, 286, 15863, 547, 713, 281, 24613, 13386, 6954, 1797, 9319, 3536, 602, 616, 1134, 8153, 585, 5627, 13386, 267, 899, 13386, 14036, 267, 13386, 28369, 267, 543, 31949, 269, 1809, 13386, 666, 581, 1336, 538, 513, 3984, 540, 824, 3536, 602, 616, 2484, 1447, 6654, 267, 971, 607, 9268, 3536, 267, 10683, 31431, 267, 3694, 539, 3536, 267, 543, 24799, 269, 16639, 602, 2270, 13386, 1810, 1406, 2141, 723, 519, 2262, 834, 810, 344, 257, 593, 519, 1587, 6003, 563, 4692, 1654, 7540, 3548, 13386, 888, 25215, 2945, 786, 581, 281, 590, 1195, 3276, 7970, 267, 13386, 3905, 5243, 267, 13386, 5144, 267, 31949, 267, 1661, 701, 327, 9789, 572, 616, 782, 1455, 3536, 602, 1082, 1654, 7540, 3548, 269, 12287, 958, 267, 594, 6557, 15502, 609, 4189, 513, 1906, 32122, 540, 13386, 1142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15419, 258, 18224, 513, 1899, 454, 2745, 263, 1467, 994, 2745, 19629, 333, 15419, 258, 18224, 606, 3003, 5037, 454, 2745, 263, 2091, 994, 2745, 19629, 333, 15419, 6358, 2891, 18208, 9373, 547, 15566, 15419, 258, 5901, 538, 2247, 602, 9226, 834, 8145, 20047, 257, 519, 2063, 2990, 540, 1257, 1224, 689, 269, 901, 568, 1946, 649, 1294, 1152, 519, 2063, 851, 540, 519, 3758, 950, 8420, 320, 532, 14235, 689, 1224, 6050, 3890, 780, 258, 2991, 10678, 519, 1982, 267, 9226, 3622, 8850, 32195, 519, 3758, 2901, 1259, 563, 16482, 258, 567, 1284, 666, 654, 305, 25492, 547, 519, 3758, 1210, 281, 2328, 263, 7798, 264, 910, 13360, 525, 1239, 689, 519, 4756, 834, 7798, 4799, 258, 567, 1284, 666, 849, 946, 713, 281, 19930, 1060, 3894, 17338, 264, 910, 713, 11339, 1239, 689, 513, 1592, 563, 16482, 258, 567, 10691, 292, 281, 7151, 476, 273, 910, 8528, 5814, 19523, 692, 2745, 2891, 11767, 707, 5441, 267, 2361, 540, 1353, 267, 1032, 267, 543, 4110, 1445, 281, 19515, 258, 14509, 1239, 689, 519, 3339, 3403, 454, 11907, 815, 19523, 14714, 19734, 18667, 1467, 10797, 258, 1930, 513, 3758, 454, 8624, 291, 665, 815, 1930, 2891, 290, 281, 11138, 294, 527, 11847, 334, 11138, 11907, 318, 6665, 783, 1436, 11138, 5035, 1740, 266, 24610, 1740, 11138, 6860, 268, 6187, 268, 1708, 271, 6997, 275, 11138, 11907, 17902, 2580, 834, 342, 266, 15419, 258, 2328, 547, 3758, 454, 8624, 291, 665, 22182, 16597, 2020, 258, 2673, 519, 3758, 454, 8624, 291, 665, 25379, 10797, 258, 1631, 267, 649, 1711, 513, 1592, 454, 4289, 310, 815, 11713, 1721, 1535, 538, 2039, 630, 272, 267, 276, 2567, 1948, 5804, 476, 272, 547, 476, 275, 454, 825, 1592, 310, 6834, 1496, 343, 6540, 258, 1930, 519, 3758, 547, 2328, 547, 454, 8624, 291, 665, 815, 1930, 2891, 290, 281, 11138, 294, 527, 11847, 334, 11138, 11907, 318, 6665, 783, 1436, 11138, 5035, 1740, 266, 24610, 1740, 11138, 6860, 268, 6187, 268, 1708, 271, 6997, 275, 11138, 11907, 17902, 2580, 834, 320, 266, 8442, 1948, 901, 942, 267, 649, 16289, 547, 519, 1592, 780, 258, 2328, 547, 3758, 454, 8624, 291, 665, 9884, 761, 3894, 19304, 17338, 310, 11723, 258, 543, 2673, 519, 3758, 563, 8624, 291, 665, 25379, 4590, 16482, 258, 567, 10691, 292, 281, 7151, 476, 274, 454, 16482, 258, 567, 1284, 666, 849, 1930, 6119, 547, 1224, 543, 2328, 547, 609, 519, 948, 540, 519, 4971, 834, 5976, 4799, 258, 567, 2060, 713, 267, 649, 1810, 1405, 723, 547, 5855, 827, 14656, 519, 3561, 693, 519, 1439, 563, 258, 567, 901, 585, 8520, 13071, 721, 4159, 513, 3758, 267, 1899, 676, 1899, 563, 16482, 5976, 1930, 2891, 11907, 17902, 14824, 337, 8442, 607, 6742, 344, 291, 665, 912, 825, 585, 1899, 273, 538, 6742, 344, 291, 665, 912, 1038, 1820, 263, 1467, 273, 267, 1439, 284, 3269, 2020, 6358, 19629, 333, 18208, 13673, 9898, 547, 1439, 23528, 0, 258, 26023, 267, 1284, 666, 2322, 835, 31230, 3330, 540, 519, 824, 269, 901, 568, 1572, 834, 333, 20535, 257, 630, 345, 1725, 773, 385, 376, 323, 385, 376, 8643, 655, 1916, 16482, 258, 12327, 21283, 4041, 912, 258, 825, 454, 258, 567, 1284, 1616, 547, 1820, 713, 593, 938, 5496, 563, 16482, 258, 567, 670, 567, 670, 454, 258, 567, 670, 567, 670, 454, 258, 567, 670, 295, 295, 295, 295, 454, 258, 567, 670, 567, 670, 454, 258, 567, 670, 567, 670, 454, 16482, 258, 567, 1215, 519, 3009, 5654, 912, 16482, 5814, 19523, 692, 1721, 1775, 538, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 13912, 1948, 1607, 568, 21222, 7267, 454, 825, 585, 795, 538, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 14158, 1038, 1948, 13765, 799, 1899, 540, 670, 596, 616, 538, 19794, 454, 1038, 952, 1775, 2652, 476, 274, 912, 2018, 19523, 14714, 323, 719, 22182, 3488, 295, 5073, 1038, 1948, 952, 711, 1287, 649, 2328, 670, 593, 519, 8728, 454, 1038, 3116, 912, 2018, 1948, 13765, 952, 1412, 329, 262, 568, 593, 519, 1592, 267, 799, 1797, 519, 8728, 454, 2018, 952, 795, 538, 1496, 272, 267, 476, 276, 14158, 3546, 19523, 14714, 323, 719, 22182, 3488, 295, 5073, 3546, 1948, 604, 711, 267, 1287, 649, 2328, 5624, 563, 2018, 3116, 912, 3546, 19523, 14714, 323, 719, 22182, 3488, 30386, 825, 19523, 14714, 323, 719, 22182, 28361, 333, 10807, 0, 258, 901, 1982, 786, 1224, 519, 3105, 3758, 543, 1592, 621, 547, 519, 23641, 780, 5976, 1930, 2891, 290, 281, 11138, 294, 527, 11847, 334, 11138, 11907, 318, 6665, 783, 1436, 11138, 5035, 1740, 266, 24610, 1740, 11138, 6860, 268, 6187, 268, 1708, 271, 6997, 275, 11138, 272, 318, 17572, 318, 23330, 725, 11138, 2750, 272, 318, 19667, 3528, 275, 318, 2237, 2414, 17572, 11138, 301, 4548, 19667, 14548, 3528, 275, 17902, 14824, 337, 8442, 607, 6742, 344, 291, 665, 912, 825, 585, 1899, 273, 538, 6742, 344, 291, 665, 912, 1038, 1820, 263, 1467, 273, 267, 1439, 284, 3269, 2020, 6358, 19629, 333, 18208, 13673, 9898, 547, 1439, 1701, 264, 0, 258, 13207, 732, 4632, 454, 321, 2435, 815, 11713, 16932, 815, 834, 16932, 5016, 258, 16505, 6003, 883, 9352, 543, 3787, 3772, 2473, 3036, 609, 703, 476, 1724, 454, 1721, 521, 538, 1592, 10857, 8475, 2187, 825, 1948, 1820, 6357, 514, 263, 867, 4433, 9745, 476, 1724, 21875, 825, 9352, 6910, 6357, 514, 263, 867, 4433, 264, 9745, 476, 1724, 1040, 331, 29328, 3488, 271, 321, 10807, 2020, 258, 22417, 519, 9352, 1394, 547, 513, 5569, 3097, 935, 3200, 815, 834, 2668, 21860, 263, 577, 337, 17301, 4433, 267, 476, 273, 4297, 585, 521, 538, 476, 9352, 994, 2745, 6600, 262, 322, 7973, 334, 13997, 346, 935, 3200, 3686, 348, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1256, 1732, 269, 19130, 538, 707, 2012, 543, 4757, 2232, 543, 4309, 782, 938, 10311, 538, 707, 13875, 7901, 269, 3776, 23157, 616, 14468, 2687, 547, 1312, 1449, 2409, 610, 835, 540, 873, 269, 1879, 713, 4386, 267, 519, 5958, 1590, 1683, 6190, 13471, 547, 2061, 2034, 24266, 2960, 17236, 269, 634, 2362, 519, 1871, 267, 519, 1732, 519, 4027, 563, 763, 1739, 1449, 1867, 3029, 616, 1644, 281, 10466, 1996, 519, 10898, 540, 606, 3167, 9095, 666, 581, 7318, 538, 476, 273, 2081, 281, 19130, 856, 519, 1106, 543, 649, 786, 3346, 596, 269, 901, 7160, 13054, 513, 2930, 14469, 269, 1284, 3398, 782, 2101, 5491, 6486, 1977, 18124, 267, 9457, 15258, 543, 6250, 320, 28324, 21595, 543, 4871, 19132, 607, 1106, 540, 8569, 563, 2690, 1383, 267, 29075, 543, 5538, 338, 619, 1590, 581, 12816, 1927, 609, 824, 2123, 8825, 3937, 623, 14154, 10175, 513, 24743, 609, 8825, 1471, 528, 267, 8825, 17309, 543, 8825, 31321, 25192, 547, 3035, 519, 2953, 1377, 540, 4027, 269, 901, 7160, 2882, 519, 1739, 1713, 2930, 2242, 609, 2463, 547, 519, 3105, 7160, 281, 634, 2179, 540, 3002, 10299, 998, 519, 3732, 568, 6027, 1282, 543, 1310, 519, 1449, 563, 2691, 972, 568, 513, 1981, 540, 1373, 6534, 547, 606, 3167, 9095, 267, 585, 1383, 267, 950, 1425, 6005, 3937, 538, 1875, 268, 2117, 1606, 12522, 3892, 2371, 610, 5122, 6467, 15236, 267, 610, 950, 2324, 593, 1164, 6453, 3937, 267, 10986, 616, 5227, 547, 5957, 9095, 22190, 28508, 8825, 7802, 269, 0, 274, 7160, 540, 2552, 11391, 800, 2152, 538, 2069, 1336, 538, 519, 17048, 563, 6944, 11391, 800, 2152, 538, 2069, 454, 306, 597, 22176, 322, 7581, 1375, 454, 24309, 538, 2296, 454, 257, 3883, 645, 4193, 281, 26261, 3724, 1315, 2571, 3724, 269, 12634, 12983, 538, 4065, 281, 1323, 4985, 269, 2353, 540, 938, 1957, 3653, 568, 13381, 1369, 519, 5177, 543, 5828, 883, 1351, 2607, 730, 21312, 269, 1284, 782, 899, 519, 2856, 540, 9494, 513, 3787, 540, 6666, 267, 865, 950, 649, 1336, 856, 875, 1082, 1434, 2298, 1031, 2472, 616, 856, 972, 910, 649, 1175, 1185, 547, 1577, 596, 917, 256, 834, 6423, 782, 269, 634, 26308, 538, 4065, 630, 2316, 292, 264, 3350, 7153, 538, 521, 6628, 607, 513, 2189, 10316, 540, 2773, 543, 1126, 19721, 1565, 269, 23011, 654, 334, 8803, 779, 12634, 26308, 538, 4065, 6645, 519, 1650, 540, 519, 5137, 540, 713, 10565, 1106, 543, 922, 9542, 538, 513, 6385, 4657, 2797, 267, 2804, 267, 543, 3872, 1604, 269, 769, 1840, 547, 11042, 609, 7986, 570, 23966, 19971, 543, 5717, 563, 763, 5767, 1257, 538, 519, 11759, 16610, 538, 14451, 4065, 3126, 267, 713, 4320, 14753, 547, 519, 1950, 7516, 602, 2362, 2069, 5640, 543, 7855, 991, 547, 1174, 827, 519, 13346, 1909, 540, 2022, 16149, 776, 2069, 538, 519, 2136, 2276, 269, 3848, 4589, 12172, 1699, 2152, 7133, 519, 2361, 267, 543, 2709, 4195, 5380, 13994, 6819, 875, 3609, 267, 15295, 267, 543, 12250, 269, 667, 5744, 12634, 12983, 674, 5217, 6355, 5004, 4065, 11828, 519, 2152, 602, 616, 6849, 1312, 1804, 543, 1507, 14078, 543, 519, 1053, 945, 616, 5275, 7694, 972, 269, 7726, 532, 711, 1152, 1018, 2242, 14051, 814, 4547, 547, 519, 1870, 1158, 267, 855, 1018, 2081, 938, 2069, 1062, 786, 723, 547, 1689, 547, 1832, 909, 267, 713, 1433, 563, 10870, 268, 7774, 267, 4804, 543, 3213, 268, 10869, 18880, 9607, 519, 14849, 991, 547, 4766, 267, 20272, 543, 2708, 519, 2208, 540, 1071, 268, 10869, 2069, 269, 634, 2078, 1063, 1071, 268, 7774, 543, 2069, 568, 513, 1950, 1184, 543, 713, 1433, 9691, 9356, 593, 1547, 12634, 12409, 10017, 32245, 4930, 602, 4125, 519, 3498, 540, 5626, 3069, 543, 2257, 547, 519, 3872, 1880, 10083, 616, 11673, 540, 12170, 1382, 543, 519, 6881, 540, 3069, 2966, 547, 2901, 1011, 6510, 610, 3986, 519, 3872, 1184, 563, 2006, 783, 540, 3339, 1277, 1108, 543, 1418, 2762, 563, 763, 3756, 1004, 1404, 563, 307, 269, 661, 269, 18039, 454, 338, 675, 1259, 547, 1265, 856, 519, 3020, 4984, 454, 288, 3140, 543, 24396, 1353, 540, 3232, 11755, 2053, 538, 519, 14640, 268, 5371, 2940, 5783, 454, 290, 656, 517, 632, 17926, 20324, 17879, 10034, 1222, 454, 7830, 4583, 8075, 540, 4077, 31760, 267, 3162, 10491, 454, 22949, 7694, 4316, 15445, 11352, 476, 12208, 5379, 267, 607, 29567, 676, 15445, 11352, 476, 13647, 4037, 563, 11296, 1764, 540, 771, 1301, 3512, 538, 519, 2136, 2276, 454, 20329, 1108, 540, 7209, 563, 288, 15257, 540, 18997, 454, 28757, 12983, 538, 4065, 281, 1323, 4985, 593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 12634, 12983, 538, 4065, 281, 1323, 4985, 26705, 281, 28980, 269, 834, 12634, 12983, 538, 14451, 4065, 568, 606, 1271, 4320, 602, 568, 1312, 12905, 543, 15851, 563, 2419, 9532, 5031, 1312, 1007, 4105, 2152, 538, 2362, 2069, 267, 607, 1134, 607, 593, 268, 4707, 2152, 602, 2611, 5667, 9407, 610, 723, 1831, 1256, 811, 7986, 538, 713, 24360, 942, 540, 3084, 2797, 676, 281, 476, 272, 563, 28757, 12983, 538, 15099, 267, 476, 277, 27160, 6799, 606, 3235, 937, 545, 267, 7059, 1935, 547, 519, 2101, 28928, 3466, 538, 519, 2361, 689, 513, 4763, 540, 3401, 538, 519, 2361, 945, 2671, 741, 8369, 543, 4555, 593, 6437, 2152, 563, 2304, 2152, 15129, 4015, 540, 476, 3607, 4930, 676, 519, 2101, 17024, 538, 6437, 1353, 267, 621, 5654, 693, 2152, 602, 1860, 3811, 6388, 267, 4058, 267, 543, 6268, 540, 6437, 24764, 676, 281, 12634, 12983, 538, 3203, 4065, 676, 962, 341, 517, 928, 717, 7596, 601, 3780, 543, 623, 1122, 4325, 15077, 568, 513, 4015, 540, 3594, 602, 616, 29600, 1472, 1514, 2152, 267, 1148, 267, 543, 3450, 563, 8794, 606, 2152, 2861, 1935, 267, 519, 4589, 1683, 513, 3407, 4199, 585, 3450, 2152, 2861, 1543, 267, 2523, 607, 891, 2152, 616, 8268, 998, 4207, 1148, 543, 3308, 2528, 538, 519, 4928, 270, 276, 263, 275, 1916, 28757, 12983, 769, 7981, 12409, 20126, 281, 25392, 634, 19940, 4132, 28980, 1107, 2904, 476, 272, 267, 901, 3217, 596, 998, 519, 1686, 540, 3664, 1500, 538, 7981, 4065, 269, 769, 2312, 1893, 267, 621, 12116, 519, 22237, 267, 2797, 267, 5683, 13253, 269, 2552, 11391, 800, 2152, 538, 2069, 1433, 729, 513, 6280, 1257, 1433, 24764, 676, 281, 476, 275, 563, 16729, 519, 3636, 21200, 2016, 547, 634, 22830, 540, 4065, 267, 513, 4320, 540, 4574, 538, 713, 1482, 14339, 641, 328, 10022, 267, 513, 2034, 10554, 1472, 2147, 4798, 729, 4371, 693, 10228, 2160, 543, 713, 1433, 568, 519, 1267, 563, 1607, 12995, 1433, 2488, 519, 5467, 609, 513, 9425, 11347, 267, 17396, 543, 23887, 3948, 540, 519, 10228, 10554, 269, 2372, 7627, 519, 26554, 27891, 540, 8303, 2160, 609, 269, 901, 3235, 937, 545, 267, 7059, 1935, 9356, 519, 2101, 28928, 3466, 538, 519, 2361, 540, 6437, 563, 2304, 2152, 15129, 4015, 540, 476, 3607, 4930, 676, 519, 2101, 17024, 538, 6437, 1353, 267, 621, 7710, 519, 2152, 602, 1860, 3811, 6388, 267, 4058, 267, 543, 6268, 540, 6437, 693, 782, 2157, 540, 536, 1006, 281, 14970, 563, 763, 21602, 593, 12634, 2152, 538, 4065, 786, 948, 596, 547, 19597, 622, 707, 1620, 540, 519, 1543, 4988, 538, 519, 3105, 12333, 5525, 3525, 2737, 563, 11854, 32496, 267, 621, 8711, 519, 2078, 1063, 519, 3084, 543, 2518, 2152, 538, 2069, 267, 1312, 2250, 543, 1459, 269, 4329, 267, 621, 12116, 519, 1699, 269, 4207, 2152, 543, 3466, 538, 2069, 568, 2629, 585, 4116, 7041, 563, 763, 1292, 2832, 540, 519, 1576, 568, 547, 1683, 9906, 11334, 609, 1702, 827, 543, 5813, 883, 519, 10296, 2152, 540, 2221, 779, 2518, 2146, 563, 1103, 922, 6437, 3391, 267, 519, 670, 4488, 19528, 1808, 4207, 2152, 267, 1519, 519, 1344, 16411, 267, 17572, 12025, 281, 22995, 269, 12634, 12983, 538, 4065, 5525, 269, 10022, 15503, 4433, 2567, 9400, 17813, 267, 17363, 2398, 3430, 268, 3849, 4461, 269, 901, 3126, 6799, 606, 22265, 267, 17396, 543, 5059, 4015, 540, 4295, 5931, 547, 6338, 519, 4207, 2152, 602, 616, 4988, 538, 4065, 5525, 267, 543, 1644, 15961, 563, 10376, 1433, 10953, 513, 1883, 6249, 538, 4207, 2069, 269, 634, 5767, 1257, 538, 519, 11759, 16610, 538, 14451, 4065, 3126, 267, 713, 4320, 14753, 547, 519, 1950, 7516, 602, 2362, 2069, 5640, 543, 7855, 991, 547, 1174, 827, 519, 13346, 1909, 540, 2022, 16149, 776, 2069, 538, 519, 2136, 2276, 563, 6637, 4589, 12172, 1699, 2152, 7133, 519, 2361, 267, 543, 2709, 4195, 5380, 13994, 6819, 875, 3609, 267, 15295, 267, 543, 12250, 24764, 676, 281, 476, 272, 269, 4595, 519, 4065, 21637, 2920, 267, 938, 2069, 1062, 814, 22734, 10565, 2242, 543, 713, 538, 2490, 814, 6659, 513, 1297, 540, 11786, 2152, 543, 2055, 563, 1607, 5467, 6770, 1927, 1883, 4930, 267, 1312, 5063, 3370, 543, 16887, 20827, 267, 799, 2232, 891, 2152, 543, 1747, 873, 538, 2796, 269, 12983, 4988, 1331, 281, 2608, 1492, 6437, 2608, 3450, 543, 1565, 2608, 817, 20156, 2608, 25217, 269, 12634, 12983, 769, 7981, 12409, 20126, 281, 25392, 634, 19940, 4132, 281, 25392, 519, 19940, 4132, 28226, 267, 6424, 267, 8293, 2231, 267, 12275, 787, 17755, 3863, 6953, 650, 4065, 630, 20084, 1070, 2904, 476, 272, 267, 910, 4065, 563, 28757, 12983, 538, 4065, 476, 393, 510, 20828, 540, 6092, 281, 7812, 15576, 345, 267, 513, 1134, 8153, 2069, 14787, 267, 10294, 267, 968, 8253, 1152, 941, 3506, 8655, 1883, 5107, 538, 519, 18236, 540, 11180, 2528, 282, 789, 849, 1185, 547, 1199, 5573, 519, 32475, 1063, 11180, 16431, 543, 8191, 281, 1546, 13860, 3213, 345, 691, 267, 20574, 654, 29961, 1206, 267, 6276, 717, 584, 2284, 267, 570, 1415, 320, 21701, 267, 25138, 16016, 8712, 563, 28757, 12983, 538, 4804, 543, 9752, 269, 5654, 693, 1699, 2152, 2066, 519, 1614, 1883, 2127, 540, 3609, 267, 1565, 543, 2259, 269, 898, 786, 948, 596, 547, 1589, 9691, 593, 707, 4065, 1576, 267, 543, 547, 1118, 4296, 1063, 519, 3157, 540, 1565, 543, 519, 4052, 885, 540, 3450, 563, 14807, 1049, 2090, 2034, 1377, 1576, 1421, 12634, 2152, 538, 2069, 6902, 267, 3625, 476, 277, 281, 4518, 267, 16837, 543, 1565, 269, 9990, 270, 26705, 281, 7179, 1433, 281, 2296, 7348, 782, 21820, 543, 12043, 269, 3883, 13517, 269, 634, 5767, 1257, 538, 519, 11759, 16610, 538, 14451, 4065, 3126, 267, 713, 4320, 14753, 547, 519, 1950, 7516, 602, 2362, 2069, 5640, 543, 7855, 991, 547, 1174, 827, 519, 13346, 1909, 540, 2022, 16149, 776, 2069, 538, 519, 2136, 2276, 563, 6637, 4589, 12172, 1699, 2152, 7133, 519, 2361, 267, 543, 2709, 4195, 5380, 13994, 6819, 875, 3609, 267, 15295, 267, 543, 269, 3883, 13517, 563, 23192, 3370, 538, 769, 519, 2063, 1079, 5756, 2069, 538, 519, 12059, 2622, 814, 7494, 9450, 267, 9870, 1082, 1271, 2152, 269, 2368, 1447, 2919, 2477, 723, 900, 4327, 519, 4639, 538, 519, 2511, 543, 13539, 540, 741, 4081, 1949, 267, 8754, 267, 621, 563, 28757, 4065, 12983, 11683, 3872, 2152, 538, 519, 2136, 2276, 4099, 593, 6437, 267, 7616, 267, 543, 1852, 269, 2986, 2565, 2956, 267, 1317, 540, 922, 11999, 6286, 593, 2069, 543, 7616, 267, 568, 519, 3143, 4132, 19382, 19992, 2920, 563, 26542, 8249, 269, 4039, 4192, 1344, 827, 519, 11452, 630, 26542, 264, 568, 2139, 689, 519, 2622, 2657, 9257, 630, 9690, 3510, 267, 3486, 2951, 1040, 19617, 2730, 543, 4749, 5346, 13768, 4199, 2164, 616, 2139, 689, 713, 11313, 338, 5680, 297, 4233, 814, 15504, 1927, 1344, 543, 2200, 547, 4217, 5399, 5234, 607, 789, 2015, 875, 547, 6023, 11452, 563, 28757, 21126, 543, 3194, 593, 7216, 19974, 4065, 568, 513, 10950, 1840, 547, 519, 2361, 540, 2038, 6689, 2069, 267, 799, 13315, 513, 2647, 2039, 540, 2152, 1644, 547, 1453, 689, 4332, 547, 2085, 5216, 563, 7212, 2038, 6689, 2069, 568, 513, 5266, 1007, 2361, 267, 621, 22168, 1713, 2208, 1472, 519, 1158, 269, 20082, 901, 1957, 9607, 519, 1641, 540, 14292, 2029, 269, 634, 5072, 540, 14292, 2029, 666, 581, 14360, 1394, 547, 519, 2490, 540, 519, 476, 736, 628, 11416, 563, 763, 3140, 267, 1514, 267, 543, 10952, 13210, 540, 14292, 2029, 267, 2059, 269, 1323, 16320, 1108, 1759, 593, 4207, 1148, 2152, 1373, 9619, 538, 519, 1148, 1158, 267, 538, 2565, 3069, 267, 538, 2069, 543, 538, 1148, 2069, 267, 12634, 12983, 538, 3203, 4065, 2488, 513, 1950, 540, 12497, 10850, 1369, 1614, 6810, 734, 1492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 981, 269, 8196, 891, 3732, 3284, 7005, 3594, 547, 1205, 2093, 585, 707, 1378, 3284, 543, 17279, 616, 1031, 538, 3332, 547, 6655, 513, 2027, 2495, 547, 3284, 7005, 3732, 3594, 32289, 547, 2328, 606, 12819, 1957, 585, 3284, 7005, 513, 10388, 1557, 5788, 875, 547, 2328, 606, 1557, 1739, 513, 5401, 5788, 875, 547, 2328, 513, 2852, 5098, 1957, 563, 534, 2711, 28877, 3594, 454, 25721, 7005, 1557, 9625, 6032, 5622, 328, 514, 660, 339, 1655, 1557, 5830, 2336, 25721, 10282, 1557, 281, 15882, 269, 2296, 562, 541, 761, 633, 1557, 269, 7442, 12819, 1557, 281, 14488, 538, 1164, 1153, 269, 6651, 547, 16481, 7005, 3594, 269, 8196, 891, 3732, 3284, 7005, 3594, 547, 1205, 2093, 585, 707, 1378, 3284, 3594, 269, 7442, 7005, 1557, 476, 280, 3284, 7005, 1893, 543, 5888, 568, 513, 1576, 538, 519, 1353, 540, 20116, 3144, 7868, 597, 2179, 1657, 3983, 3284, 7005, 3594, 7156, 1131, 2327, 711, 13886, 909, 707, 3795, 5861, 5585, 593, 519, 6119, 2630, 547, 1265, 4388, 585, 1603, 519, 1114, 2010, 540, 3284, 3594, 596, 786, 1294, 593, 519, 3284, 981, 267, 607, 1134, 607, 824, 2326, 596, 666, 946, 585, 981, 2689, 269, 4322, 476, 276, 4388, 786, 948, 596, 3068, 519, 3284, 7005, 1893, 543, 5888, 10282, 1557, 609, 6015, 267, 3450, 596, 875, 547, 946, 2959, 538, 707, 4661, 15030, 3876, 519, 10388, 1557, 281, 7011, 1782, 606, 4661, 269, 9906, 2534, 269, 4985, 269, 2290, 3791, 540, 519, 3284, 265, 7005, 1893, 543, 5888, 981, 786, 9950, 1087, 599, 3284, 7005, 3284, 4331, 1557, 543, 936, 824, 476, 2767, 267, 1822, 266, 1863, 2165, 4574, 267, 3594, 543, 1382, 4574, 1806, 616, 2139, 593, 519, 3896, 256, 269, 14257, 476, 2764, 267, 476, 1001, 272, 1934, 616, 930, 3732, 3594, 689, 3105, 3284, 4255, 267, 609, 2875, 1603, 267, 6299, 7879, 267, 543, 21249, 7787, 525, 269, 2859, 547, 2097, 269, 634, 1655, 1259, 547, 946, 563, 4157, 1557, 1603, 3028, 454, 25721, 2296, 5678, 10749, 910, 1603, 17549, 9724, 22967, 6155, 5877, 454, 25721, 575, 14654, 4367, 547, 12031, 4808, 7005, 1449, 7041, 281, 1603, 519, 10282, 1557, 281, 519, 3284, 7005, 1893, 10282, 1557, 269, 5319, 2809, 21295, 3284, 7005, 3594, 16168, 1557, 1603, 543, 596, 547, 2328, 1250, 1557, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 10611, 17128, 585, 3284, 3594, 269, 7442, 1557, 19875, 630, 1529, 332, 1588, 540, 1585, 3284, 19875, 6085, 2456, 264, 8942, 811, 4101, 2035, 630, 328, 269, 2073, 27461, 31423, 8160, 599, 476, 1704, 267, 476, 1001, 271, 538, 1082, 2081, 267, 519, 10282, 1557, 568, 2147, 547, 519, 30373, 1557, 269, 769, 519, 30373, 1557, 267, 596, 1118, 513, 3409, 267, 1287, 1489, 621, 609, 1239, 8160, 599, 476, 276, 267, 476, 1001, 275, 1250, 13354, 2229, 4116, 5143, 803, 827, 519, 1557, 602, 269, 1879, 1775, 3576, 1250, 3284, 7005, 981, 267, 519, 3803, 540, 519, 1614, 3594, 1185, 513, 2529, 788, 476, 2641, 267, 476, 1001, 277, 3284, 7005, 1893, 543, 5888, 1557, 12987, 476, 272, 6325, 543, 3318, 4081, 1603, 5351, 269, 2353, 12204, 540, 4081, 12591, 6993, 335, 7005, 3332, 543, 5888, 269, 6092, 7650, 269, 10374, 2984, 281, 1053, 786, 1224, 5697, 2110, 2984, 543, 4431, 538, 2110, 3594, 593, 1142, 6993, 1777, 1679, 543, 6801, 335, 22931, 5605, 4592, 328, 11081, 1200, 1121, 580, 5928, 476, 1556, 3284, 7005, 3594, 1201, 1662, 687, 543, 1570, 2358, 2706, 629, 1495, 14688, 269, 2171, 723, 4988, 519, 2596, 3334, 540, 1557, 1603, 269, 1411, 917, 827, 8903, 5098, 6898, 267, 17680, 6137, 31047, 543, 8753, 267, 19618, 32289, 547, 2328, 513, 10282, 1557, 585, 3284, 7005, 1893, 2608, 5408, 6609, 29688, 476, 2735, 279, 3284, 7005, 1893, 543, 5888, 3732, 3594, 269, 1635, 11714, 4138, 7549, 4344, 18775, 25338, 27799, 7549, 4814, 397, 495, 13150, 4709, 13833, 269, 272, 1554, 3516, 3284, 7005, 1893, 3594, 269, 10390, 585, 1996, 28295, 3594, 1557, 827, 19796, 2967, 9235, 3381, 267, 588, 584, 332, 10623, 21838, 2763, 1872, 1655, 3594, 4670, 3288, 669, 1393, 6993, 1872, 476, 4029, 267, 476, 1001, 276, 3284, 7005, 269, 9664, 476, 4510, 280, 9344, 11232, 786, 2628, 1269, 1428, 585, 707, 3332, 3594, 5788, 9344, 11232, 786, 2628, 1269, 1839, 585, 707, 2852, 3498, 3594, 269, 5611, 568, 519, 2698, 12432, 6060, 585, 519, 3284, 1893, 543, 5888, 1449, 269, 476, 4649, 540, 713, 568, 519, 10282, 1557, 786, 2154, 596, 547, 6451, 2959, 269, 5475, 782, 267, 513, 555, 516, 788, 720, 610, 476, 16020, 5320, 3284, 7005, 1557, 568, 5618, 2614, 547, 1450, 707, 5467, 547, 16212, 1394, 513, 1906, 3817, 547, 29295, 1010, 3965, 952, 991, 581, 6993, 335, 779, 1164, 1153, 7005, 3332, 543, 5888, 1576, 568, 513, 11826, 267, 2852, 24038, 1362, 602, 2488, 606, 4316, 547, 2744, 1983, 12621, 5431, 269, 6872, 2250, 3284, 7005, 1893, 543, 5888, 1557, 3584, 538, 519, 1739, 5750, 267, 596, 786, 1265, 513, 22950, 337, 2084, 540, 3284, 7005, 1893, 543, 5888, 1557, 3584, 269, 2304, 3284, 7005, 1893, 21038, 568, 2966, 547, 4001, 596, 17720, 2079, 538, 4974, 15923, 269, 31898, 5566, 2079, 568, 1557, 960, 602, 9397, 15923, 16638, 1464, 547, 10146, 519, 3332, 543, 547, 3594, 602, 7866, 8766, 1620, 540, 5888, 543, 519, 14908, 540, 3044, 2854, 7005, 563, 4364, 673, 17089, 1557, 7291, 454, 396, 352, 10948, 4138, 9261, 2296, 2843, 375, 3264, 15671, 7549, 3378, 15800, 11714, 27799, 3264, 6459, 3378, 1315, 2261, 14373, 639, 752, 13960, 12500, 714, 454, 10303, 3284, 3988, 1174, 602, 519, 3594, 616, 1101, 31585, 267, 1745, 1863, 547, 3444, 856, 267, 7696, 1913, 1210, 1416, 1206, 630, 320, 1070, 543, 1847, 7161, 540, 1257, 609, 28426, 6537, 269, 10743, 786, 2328, 538, 5035, 3594, 267, 13016, 2542, 3210, 4574, 267, 543, 6101, 2687, 547, 519, 2852, 4604, 267, 2542, 538, 606, 3284, 7005, 3332, 1576, 269, 29619, 540, 3594, 269, 1703, 616, 476, 1321, 3594, 8655, 585, 519, 1032, 269, 5565, 616, 606, 2079, 540, 513, 2565, 1557, 269, 8422, 616, 4890, 3284, 12987, 689, 3105, 2529, 889, 915, 281, 3284, 7005, 1557, 851, 476, 273, 2243, 1557, 269, 7392, 281, 1557, 269, 5678, 281, 7005, 269, 8191, 281, 11714, 13833, 31606, 269, 13595, 281, 513, 1863, 3594, 269, 7170, 281, 1412, 777, 7005, 1557, 851, 5861, 565, 5076, 20485, 581, 13949, 519, 3284, 7005, 1893, 543, 5888, 269, 1677, 519, 4544, 981, 281, 3284, 10282, 1557, 608, 682, 269, 13201, 4957, 256, 540, 4195, 2006, 7005, 1893, 269, 4415, 606, 3328, 942, 540, 1152, 476, 2412, 3764, 829, 1557, 585, 707, 3284, 7005, 1893, 543, 5888, 981, 267, 596, 1058, 7941, 707, 942, 607, 5205, 12282, 534, 476, 272, 267, 476, 1001, 278, 519, 4890, 3284, 7005, 3332, 1863, 3210, 2055, 689, 1991, 3284, 11400, 269, 4746, 2882, 18176, 4808, 267, 3732, 3594, 267, 7194, 267, 543, 269, 2171, 849, 3095, 547, 519, 1655, 3284, 7005, 1893, 3732, 3594, 267, 2789, 3903, 2055, 267, 2474, 267, 543, 4938, 629, 7868, 4513, 543, 3284, 9992, 336, 338, 269, 3040, 1034, 1296, 267, 513, 1863, 3210, 5401, 786, 1331, 519, 8360, 968, 514, 513, 1134, 23457, 1557, 269, 9232, 3040, 3919, 5956, 609, 513, 5098, 3948, 269, 4407, 8600, 1053, 547, 1491, 519, 4359, 13307, 1449, 538, 7005, 9382, 540, 1449, 2055, 267, 9382, 540, 17720, 2994, 267, 543, 10388, 3594, 6185, 1046, 1145, 3284, 7005, 3332, 3732, 3594, 476, 1220, 280, 269, 4107, 476, 1789, 632, 4895, 476, 1001, 277, 269, 16869, 7084, 5830, 789, 2327, 602, 1978, 4025, 610, 4408, 538, 513, 5365, 547, 2529, 24594, 3584, 1331, 281, 1114, 2010, 540, 3284, 7005, 3594, 5439, 13629, 267, 11049, 538, 519, 22825, 267, 4830, 13629, 267, 543, 13629, 2872, 3466, 543, 7014, 2529, 1511, 707, 3594, 1934, 865, 596, 666, 12398, 873, 3533, 256, 3136, 2542, 713, 1557, 3136, 2542, 269, 8525, 476, 272, 540, 476, 273, 13034, 27626, 609, 3284, 7005, 3594, 269, 3807, 4952, 952, 596, 666, 1711, 707, 1378, 16056, 899, 513, 3318, 16056, 5856, 543, 4688, 593, 1942, 256, 1631, 596, 666, 6993, 335, 7005, 1893, 1299, 5888, 18176, 3391, 269, 4937, 8846, 281, 713, 18176, 3391, 786, 581, 3730, 585, 1034, 540, 519, 3594, 596, 1224, 269, 1403, 621, 4667, 563, 8586, 3594, 2533, 454, 4338, 2296, 9085, 30777, 12726, 5590, 910, 634, 17880, 565, 5459, 9255, 454, 293, 1042, 15104, 3654, 6921, 817, 3284, 7005, 1557, 269, 476, 274, 3594, 679, 13097, 707, 3483, 538, 1200, 2006, 5283, 6807, 781, 15567, 476, 1789, 267, 476, 1001, 272, 4388, 585, 519, 2619, 657, 540, 938, 2777, 267, 1603, 269, 8196, 891, 3732, 3284, 7005, 3594, 547, 1205, 2093, 585, 707, 1378, 3284, 3594, 269, 1452, 3594, 616, 1806, 540, 1434, 513, 921, 767, 1603, 269, 12914, 476, 272, 267, 476, 1001, 274, 1287, 2328, 606, 1557, 538, 799, 596, 1397, 875, 519, 2278, 3096, 5339, 3457, 547, 476, 1220, 276, 3284, 7005, 3332, 18176, 844, 573, 5202, 269, 5475, 2542, 606, 21626, 689, 968, 1492, 20194, 2223, 513, 2110, 1650, 676, 29165, 28642, 267, 2328, 606, 1557, 602, 23607, 519, 4589, 26841, 540, 1614, 3197, 543, 741, 6185, 1815, 476, 3066, 267, 476, 1001, 277, 1863, 3210, 2055, 3284, 7005, 3332, 3594, 476, 1001, 271, 10855, 2239, 1957, 585, 476, 1001, 271, 3284, 7005, 3332, 543, 269, 11545, 1867, 540, 5861, 990, 18782, 1053, 945, 723, 3144, 3284, 7005, 1776, 1259, 3284, 7005, 814, 5280, 803, 538, 2852, 568, 602, 269, 2986, 2542, 17118, 267, 3594, 267, 543, 14245, 6993, 335, 10378, 7005, 1893, 543, 5888, 476, 1001, 274, 18176, 519, 6060, 1058, 2992, 519, 1557, 779, 2298, 607, 513, 610, 513, 3210, 538, 513, 1893, 824, 982, 7005, 269, 21093, 513, 476, 280, 9247, 3340, 602, 596, 269, 13407, 1947, 1174, 519, 4589, 5048, 1018, 616, 1271, 2835, 547, 1224, 585, 3284, 7005, 3332, 27085, 25721, 7005, 476, 1321, 3732, 3594, 269, 7442, 1396, 3732, 3594, 476, 280, 3284, 10378, 7005, 3332, 543, 5888, 476, 1001, 272, 18176, 269, 476, 280, 1700, 279, 891, 3594, 2709, 513, 10388, 6993, 335, 7005, 3332, 3594, 269, 11426, 2852, 1957, 269, 2296, 1603, 2533, 6993, 335, 7005, 281, 533, 5217, 707, 981, 3594, 269, 7442, 1557, 1603, 281, 24337, 607, 513, 1641, 269, 7442, 24067, 1686, 281, 1158, 2112, 1775, 630, 4489, 275, 866, 1240, 1040, 25721, 7005, 1893, 543, 5888, 568, 513, 1576, 538, 519, 1353, 540, 20116, 3144, 538, 1164, 1153, 269, 3509, 3506, 2709, 713, 1576, 5097, 547, 15118, 12542, 543, 519, 3284, 563, 30348, 894, 1557, 593, 2518, 8337, 454, 4338, 2296, 9085, 543, 23531, 7726, 476, 274, 5131, 15863, 4429, 25721, 7005, 3594, 269, 1411, 666, 1265, 782, 3858, 609, 782, 540, 2104, 540, 2069, 269, 2974, 320, 1759, 2688, 7005, 3594, 3284, 938, 948, 596, 3274, 723, 547, 3643, 938, 6993, 335, 10378, 7005, 1893, 543, 5888, 476, 1001, 275, 18176, 4808, 3594, 15980, 513, 6060, 540, 476, 279, 3927, 6218, 2436, 2852, 568, 4502, 922, 1942, 269, 2750, 13630, 948, 585, 3284, 10378, 7005, 3332, 269, 10261, 948, 7393, 707, 3594, 609, 6252, 1143, 286, 1616, 513, 3318, 547, 948, 596, 6445, 707, 9433, 609, 25710, 4185, 269, 1320, 748, 663, 824, 6280, 11603, 585, 519, 6727, 2669, 269, 667, 8775, 267, 708, 4666, 1028, 269, 1284, 1522, 1589, 540, 519, 3284, 7005, 12200, 2818, 543, 1164, 5180, 6993, 335, 7005, 1557, 2328, 513, 31764, 2688, 12031, 609, 938, 948, 543, 1118, 707, 20485, 28280, 1603, 513, 2688, 1957, 1797, 960, 998, 1082, 5933, 1100, 811, 535, 338, 20193, 4667, 9490, 547, 2491, 875, 547, 1224, 543, 5659, 606, 1557, 547, 2576, 627, 657, 8600, 547, 2328, 1614, 540, 873, 593, 519, 3284, 981, 269, 2991, 782, 267, 693, 713, 1448, 538, 707, 9950, 1087, 904, 20639, 1210, 519, 3284, 7005, 981, 269, 12726, 632, 4895, 476, 277, 2985, 1382, 543, 3898, 593, 519, 4541, 945, 4991, 538, 18367, 18315, 3594, 547, 3284, 1893, 3594, 13034, 27626, 609, 3284, 7005, 3594, 269, 2052, 581, 513, 11285, 538, 554, 4148, 335, 543, 1603, 2533, 789, 991, 269, 4400, 2298, 8239, 649, 2709, 713, 10018, 865, 707, 4081, 2042, 6993, 335, 7005, 3594, 269, 2107, 6542, 707, 4540, 13668, 3284, 2243, 3340, 513, 3532, 3284, 18176, 3391, 585, 519, 3501, 6060, 513, 5679, 3089, 2401, 27085, 763, 3284, 7005, 1893, 10282, 1557, 269, 3689, 543, 19466, 281, 519, 10282, 2243, 3340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26951, 270, 279, 8287, 815, 476, 271, 269, 24129, 275, 5038, 4792, 279, 15433, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 26951, 270, 279, 5038, 815, 476, 271, 269, 24129, 16825, 16825, 16825, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 26951, 270, 279, 4792, 815, 476, 271, 269, 26604, 279, 3953, 3607, 280, 280, 5655, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 26951, 270, 279, 5780, 815, 476, 271, 269, 26604, 276, 1704, 25834, 28318, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 26951, 270, 279, 6858, 815, 476, 271, 269, 26604, 1708, 4200, 279, 279, 5325, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 26951, 270, 279, 6924, 815, 476, 271, 269, 27244, 6434, 280, 6110, 280, 2420, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 7597, 912, 1038, 1820, 3488, 26951, 270, 279, 7597, 815, 476, 271, 269, 27244, 6872, 277, 276, 2190, 278, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 3583, 912, 1038, 1820, 3488, 26951, 270, 279, 3583, 815, 476, 271, 269, 27244, 25784, 3607, 278, 279, 1626, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9262, 272, 912, 1038, 1820, 3488, 26951, 270, 9262, 272, 815, 476, 271, 269, 17734, 4817, 273, 280, 2767, 5780, 280, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 7761, 912, 1038, 1820, 3488, 26951, 270, 279, 7761, 815, 476, 271, 269, 17734, 5038, 273, 1001, 279, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9262, 274, 912, 1038, 1820, 3488, 26951, 270, 9262, 274, 815, 476, 271, 269, 17734, 28590, 6942, 5952, 279, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9262, 275, 912, 1038, 1820, 3488, 26951, 270, 9262, 275, 815, 476, 271, 269, 17734, 28873, 6434, 274, 27768, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4037, 912, 1038, 1820, 3488, 26951, 270, 279, 4037, 815, 476, 271, 269, 29483, 278, 1691, 26326, 278, 1691, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9262, 277, 912, 1038, 1820, 3488, 26951, 270, 9262, 277, 815, 476, 271, 269, 29483, 32076, 4375, 273, 7597, 275, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 6507, 912, 1038, 1820, 3488, 26951, 270, 279, 6507, 815, 476, 271, 269, 29483, 271, 4200, 1001, 279, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4281, 912, 1038, 1820, 3488, 26951, 270, 279, 4281, 815, 476, 271, 269, 28803, 8064, 273, 278, 1015, 3583, 277, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 8064, 912, 1038, 1820, 3488, 26951, 270, 279, 8064, 815, 476, 271, 269, 28803, 4366, 277, 280, 1626, 4817, 272, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 3199, 912, 1038, 1820, 3488, 26951, 270, 279, 3199, 815, 476, 271, 269, 28803, 8687, 279, 1240, 9264, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 272, 912, 1038, 1820, 3488, 26951, 270, 6434, 272, 815, 476, 271, 269, 29045, 279, 6507, 31404, 271, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 273, 912, 1038, 1820, 3488, 26951, 270, 6434, 273, 815, 476, 271, 269, 29045, 6872, 274, 7597, 277, 13970, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 274, 912, 1038, 1820, 3488, 26951, 270, 6434, 274, 815, 476, 271, 269, 29045, 17734, 5780, 279, 10082, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 275, 912, 1038, 1820, 3488, 26951, 270, 6434, 275, 815, 476, 271, 269, 29214, 280, 6924, 23283, 8064, 273, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 5952, 912, 1038, 1820, 3488, 26951, 270, 279, 5952, 815, 476, 271, 269, 29214, 26116, 26116, 5780, 278, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 277, 912, 1038, 1820, 3488, 26951, 270, 6434, 277, 815, 476, 271, 269, 29214, 18458, 277, 6434, 4366, 279, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 278, 912, 1038, 1820, 3488, 26951, 270, 6434, 278, 815, 476, 271, 269, 29214, 271, 4792, 4343, 279, 4817, 273, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31229, 912, 1038, 1820, 3488, 26951, 270, 31229, 815, 476, 271, 269, 25228, 278, 4792, 278, 4792, 278, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6434, 280, 912, 1038, 1820, 3488, 26951, 270, 6434, 280, 815, 476, 271, 269, 25228, 5379, 277, 279, 1626, 277, 4366, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 3445, 912, 1038, 1820, 3488, 26951, 270, 279, 3445, 815, 476, 271, 269, 25228, 12739, 276, 4375, 30444, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 272, 912, 1038, 1820, 3488, 26951, 270, 8660, 272, 815, 476, 271, 269, 25784, 279, 3583, 280, 4029, 276, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 273, 912, 1038, 1820, 3488, 26951, 270, 8660, 273, 815, 476, 271, 269, 25784, 6872, 274, 4200, 272, 31648, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 274, 912, 1038, 1820, 3488, 26951, 270, 8660, 274, 815, 476, 271, 269, 25784, 28071, 278, 1428, 276, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 275, 912, 1038, 1820, 3488, 26951, 270, 8660, 275, 815, 476, 271, 269, 28091, 7176, 273, 9083, 3445, 279, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4817, 912, 1038, 1820, 3488, 26951, 270, 279, 4817, 815, 476, 271, 269, 28091, 6924, 278, 5611, 279, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 277, 912, 1038, 1820, 3488, 26951, 270, 8660, 277, 815, 476, 271, 269, 28091, 4375, 273, 5952, 278, 16960, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 26951, 270, 8660, 278, 815, 476, 271, 269, 28091, 271, 4200, 25546, 277, 2641, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 26951, 270, 279, 7176, 815, 476, 271, 269, 26783, 3199, 277, 26951, 5400, 5073, 825, 952, 1003, 272, 2652, 476, 26951, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 26951, 270, 279, 4200, 815, 476, 271, 269, 26783, 276, 1724, 3445, 275, 24783, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 26801, 270, 25616, 815, 476, 271, 269, 30116, 279, 2537, 276, 3066, 31404, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 26801, 270, 5952, 272, 815, 476, 271, 269, 30116, 275, 4817, 6434, 278, 4572, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 26801, 270, 5952, 273, 815, 476, 271, 269, 30116, 15433, 26522, 5400, 276, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 26801, 270, 5952, 274, 815, 476, 271, 269, 28071, 279, 5655, 3445, 278, 4343, 277, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 26801, 270, 5952, 275, 815, 476, 271, 269, 28071, 276, 1704, 276, 5038, 29889, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 26801, 270, 279, 4649, 815, 476, 271, 269, 28071, 4572, 7176, 273, 27174, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 26801, 270, 5952, 277, 815, 476, 271, 269, 28510, 279, 7597, 15647, 279, 8064, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 26801, 270, 5952, 278, 815, 476, 271, 269, 28510, 276, 5379, 6021, 272, 27888, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 26801, 270, 5952, 279, 815, 476, 271, 269, 28510, 23417, 6507, 277, 23470, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 26801, 270, 5952, 280, 815, 476, 271, 269, 22550, 3445, 273, 21076, 9262, 275, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 26801, 270, 279, 2568, 815, 476, 271, 269, 22550, 6812, 272, 4375, 276, 4097, 280, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 26801, 270, 279, 8618, 815, 476, 271, 269, 22550, 28360, 27844, 271, 5655, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 7830, 912, 1038, 1820, 3488, 26801, 270, 279, 7830, 815, 476, 271, 269, 28638, 280, 6078, 4200, 276, 3607, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 8287, 912, 1038, 1820, 3488, 26801, 270, 279, 8287, 815, 476, 271, 269, 28638, 277, 2537, 32076, 278, 2641, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 26801, 270, 279, 5038, 815, 476, 271, 269, 28638, 25134, 27898, 4649, 277, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 26801, 270, 279, 4792, 815, 476, 271, 269, 24129, 280, 6434, 275, 4375, 27420, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 26801, 270, 279, 5780, 815, 476, 271, 269, 24129, 6858, 273, 271, 4649, 275, 2767, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 26801, 270, 279, 6858, 815, 476, 271, 269, 24129, 32579, 25002, 29575, 5073, 825, 952, 1003, 272, 2652, 476, 26801, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 26801, 270, 279, 6924, 815, 476, 271, 269, 24129, 271, 6078, 5325, 275, 4792, 275, 5073, 825, 952, 1003, 272, 2652, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 5814, 8524, 454, 5814, 21855, 454, 5814, 1085, 27251, 4732, 793, 531, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 3698, 678, 916, 5416, 2187, 825, 8173, 825, 6726, 919, 519, 681, 5960, 540, 606, 5044, 780, 825, 2433, 12407, 513, 281, 1323, 5044, 780, 825, 2433, 4958, 5281, 281, 634, 681, 5960, 540, 519, 5044, 780, 825, 29185, 825, 2132, 5286, 28460, 18828, 27904, 5416, 1262, 273, 269, 271, 8358, 320, 25915, 9239, 3698, 3001, 19963, 2071, 5416, 267, 3259, 267, 7154, 8782, 20777, 262, 2187, 825, 8173, 825, 6156, 525, 519, 1611, 538, 513, 3001, 6885, 269, 10878, 633, 6388, 780, 825, 7151, 912, 1038, 21188, 1449, 815, 5286, 15126, 8443, 272, 267, 280, 267, 280, 267, 280, 267, 280, 267, 280, 267, 280, 267, 273, 267, 274, 267, 280, 267, 273, 267, 273, 267, 274, 267, 272, 267, 272, 267, 272, 267, 272, 267, 274, 267, 275, 267, 280, 267, 280, 267, 280, 267, 279, 267, 274, 7481, 1038, 21188, 3001, 19963, 2071, 6025, 652, 267, 476, 278, 267, 7154, 8782, 338, 877, 5073, 1038, 1496, 476, 275, 269, 275, 2764, 6872, 272, 275, 476, 476, 276, 269, 6872, 272, 275, 2764, 476, 476, 277, 269, 278, 1691, 26326, 278, 476, 476, 278, 269, 5952, 278, 16318, 279, 476, 476, 279, 269, 16875, 476, 278, 269, 16318, 5952, 278, 272, 454, 16875, 476, 278, 269, 16318, 5952, 278, 272, 476, 476, 277, 269, 16318, 5952, 278, 476, 476, 276, 269, 16318, 5952, 278, 272, 476, 476, 275, 269, 26326, 278, 1691, 273, 476, 476, 274, 269, 16318, 5952, 278, 272, 476, 476, 274, 563, 16875, 476, 273, 269, 278, 1691, 26326, 278, 476, 476, 272, 269, 6872, 272, 275, 2764, 476, 476, 272, 269, 278, 1691, 26326, 278, 476, 476, 273, 269, 16875, 476, 273, 269, 5952, 278, 16318, 476, 476, 275, 563, 16875, 476, 276, 269, 16318, 5952, 278, 272, 476, 476, 277, 269, 16318, 5952, 278, 476, 476, 277, 269, 275, 2764, 6872, 272, 275, 476, 476, 277, 269, 16318, 5952, 278, 272, 476, 476, 276, 269, 278, 1691, 26326, 278, 476, 476, 275, 269, 6872, 272, 275, 2764, 276, 476, 6540, 825, 570, 7495, 302, 912, 1038, 4033, 2010, 540, 3328, 780, 825, 8173, 825, 3259, 815, 703, 10857, 2654, 994, 825, 14950, 815, 703, 18828, 269, 28776, 10857, 2654, 270, 273, 11723, 825, 952, 7154, 2652, 1412, 21459, 12466, 1038, 14950, 2608, 284, 476, 273, 692, 825, 1948, 5269, 513, 14950, 4765, 4528, 267, 533, 5417, 3429, 609, 1101, 543, 2063, 2418, 454, 825, 678, 815, 5286, 4877, 611, 5416, 267, 14950, 267, 7154, 8782, 8354, 17210, 825, 1948, 595, 4548, 636, 609, 13346, 8945, 282, 1101, 4894, 10878, 28213, 454, 825, 678, 314, 12639, 18994, 22974, 16868, 13580, 815, 476, 271, 454, 825, 521, 815, 5286, 6983, 4548, 636, 16868, 267, 546, 6943, 284, 15615, 994, 825, 521, 314, 26319, 281, 316, 815, 521, 314, 26319, 281, 316, 910, 521, 11468, 268, 26319, 2639, 825, 856, 815, 521, 314, 26319, 268, 272, 281, 316, 270, 26319, 692, 825, 1948, 32341, 1018, 547, 2132, 454, 825, 952, 7154, 2652, 1412, 338, 877, 12466, 1038, 952, 856, 17482, 314, 271, 316, 11203, 513, 17482, 314, 271, 14158, 2018, 1948, 1403, 2450, 3085, 1405, 6474, 267, 1287, 11410, 25544, 563, 2018, 856, 815, 630, 719, 11468, 268, 272, 267, 3267, 316, 1341, 856, 314, 272, 281, 267, 3267, 8079, 1315, 476, 273, 454, 1038, 2132, 856, 454, 825, 8640, 7154, 2652, 1412, 20777, 12466, 1038, 2132, 856, 314, 25247, 18737, 25247, 2639, 825, 3116, 281, 476, 1948, 7154, 2525, 262, 21459, 262, 543, 649, 1031, 513, 5595, 14950, 454, 1038, 2132, 856, 7531, 3698, 3001, 318, 822, 326, 318, 935, 341, 5416, 267, 3259, 2187, 825, 8173, 825, 25021, 3328, 3842, 28708, 269, 1530, 2114, 14887, 982, 14255, 633, 780, 825, 8173, 825, 4216, 8364, 815, 5286, 269, 2158, 10857, 2654, 8358, 26319, 454, 825, 2132, 5286, 26769, 341, 9876, 5416, 267, 4216, 8364, 267, 7154, 6889, 338, 877, 257, 9239, 3698, 3001, 318, 822, 326, 318, 742, 339, 5416, 267, 3259, 2187, 825, 8173, 825, 25021, 3328, 3842, 674, 10499, 28708, 269, 1530, 2114, 14887, 982, 14255, 633, 780, 825, 8173, 825, 4216, 8364, 815, 5286, 269, 2158, 10857, 2654, 8358, 26319, 454, 825, 2132, 1085, 27251, 4732, 793, 531, 269, 742, 339, 935, 341, 9876, 5416, 267, 4216, 8364, 267, 7154, 6889, 338, 877, 257, 9239, 3698, 3339, 1125, 5416, 267, 1007, 28804, 284, 271, 269, 271, 267, 1007, 26174, 284, 272, 269, 271, 2187, 825, 8173, 825, 16453, 1125, 606, 5044, 547, 1496, 271, 267, 272, 316, 610, 547, 454, 825, 17062, 1007, 1295, 543, 3193, 780, 825, 2433, 12407, 513, 281, 1323, 5044, 563, 825, 2433, 12407, 1007, 28804, 281, 589, 10581, 547, 581, 519, 1007, 1295, 267, 9949, 476, 271, 563, 825, 2433, 12407, 1007, 26174, 281, 589, 10581, 547, 581, 519, 1007, 3193, 267, 9949, 476, 272, 780, 825, 2433, 4958, 5281, 281, 634, 28348, 5044, 563, 825, 29185, 825, 562, 815, 630, 320, 910, 5286, 269, 3133, 5416, 4297, 1315, 5286, 269, 600, 1314, 5416, 910, 5286, 269, 3133, 5416, 4917, 825, 2132, 562, 2608, 630, 2908, 26174, 910, 1007, 28804, 264, 1341, 1007, 28804, 7531, 3698, 14282, 5416, 267, 1003, 2187, 825, 8173, 825, 4855, 338, 519, 5044, 781, 14282, 1871, 547, 513, 2016, 1003, 563, 825, 8173, 825, 2132, 513, 269, 29788, 314, 12639, 269, 11274, 5416, 910, 1003, 1040, 1173, 2381, 3890, 6540, 454, 3698, 1985, 7272, 578, 273, 16325, 2187, 825, 8173, 825, 6726, 919, 519, 1985, 14282, 1379, 540, 476, 273, 547, 519, 3403, 269, 21964, 454, 8587, 476, 273, 1262, 576, 559, 263, 2845, 273, 263, 1003, 3738, 3738, 780, 825, 2433, 12407, 1003, 281, 634, 1297, 547, 5180, 547, 519, 1985, 1379, 952, 1079, 780, 825, 2433, 4958, 5281, 281, 519, 1985, 1379, 540, 476, 273, 14191, 547, 1003, 563, 825, 29185, 825, 2132, 703, 263, 273, 1262, 12639, 269, 576, 559, 18828, 28802, 273, 16325, 4297, 9239, 3698, 1283, 318, 663, 4671, 841, 28949, 541, 7590, 2187, 825, 8173, 825, 5440, 543, 2766, 782, 14249, 547, 519, 1875, 9539, 320, 301, 6708, 540, 519, 1101, 5044, 780, 825, 661, 3052, 269, 7693, 519, 10878, 28213, 689, 519, 1283, 543, 2766, 540, 513, 1134, 2845, 780, 825, 8173, 825, 952, 7003, 263, 541, 7590, 264, 3436, 476, 272, 912, 1038, 585, 2855, 538, 14249, 314, 272, 281, 14158, 2018, 7682, 7003, 19906, 264, 2652, 7003, 263, 541, 7590, 314, 271, 7481, 825, 562, 753, 815, 5286, 269, 3602, 263, 349, 12639, 18994, 22974, 263, 541, 7590, 314, 271, 316, 4297, 314, 271, 2639, 825, 1101, 267, 2063, 815, 562, 753, 314, 271, 3910, 562, 753, 15631, 272, 2639, 825, 1427, 318, 541, 7590, 815, 11713, 825, 585, 5044, 538, 14249, 912, 1038, 1427, 318, 541, 7590, 6910, 263, 6783, 314, 14140, 281, 18431, 266, 272, 7481, 825, 2132, 1427, 318, 541, 7590, 7531, 3698, 970, 1905, 25544, 5416, 2187, 825, 8173, 825, 6987, 1905, 25544, 909, 543, 1524, 606, 5044, 689, 519, 1101, 543, 2063, 1875, 9539, 320, 301, 5439, 780, 825, 661, 3052, 269, 15566, 519, 1101, 543, 2063, 1875, 9539, 320, 301, 2418, 540, 513, 2845, 909, 543, 1524, 780, 825, 8173, 825, 562, 753, 815, 5286, 269, 3602, 263, 349, 12639, 18994, 22974, 5416, 4297, 314, 271, 2639, 825, 1101, 267, 2063, 815, 562, 753, 314, 271, 3910, 562, 753, 15631, 272, 2639, 825, 513, 11468, 14140, 316, 815, 513, 314, 14140, 2639, 825, 513, 314, 18431, 1341, 476, 272, 281, 316, 815, 513, 314, 18431, 2639, 825, 2132, 513, 692, 258, 5785, 5785, 5785, 692, 18411, 13117, 2525, 23751, 7116, 25625, 18258, 454, 13117, 2525, 284, 692, 3519, 591, 1206, 1063, 1585, 17974, 270, 525, 331, 1738, 6724, 2676, 663, 2488, 513, 1259, 547, 5173, 782, 519, 13412, 1110, 25625, 454, 5228, 966, 335, 267, 25966, 267, 543, 11002, 334, 692, 32046, 4873, 476, 1001, 275, 692, 287, 10461, 281, 20917, 8065, 692, 8794, 4834, 5291, 2517, 4178, 16553, 31162, 325, 342, 5942, 3820, 28293, 270, 14976, 2880, 318, 7116, 15252, 454, 5228, 631, 822, 14150, 267, 717, 267, 570, 631, 4157, 518, 10202, 543, 808, 667, 341, 1251, 514, 630, 1220, 274, 1070, 634, 9412, 8212, 18361, 2676, 23173, 8822, 2160, 4964, 692, 18411, 5814, 11885, 607, 5286, 692, 3698, 1762, 338, 17635, 335, 22561, 267, 5288, 22561, 267, 11002, 334, 22561, 267, 18665, 22561, 267, 22917, 22561, 267, 13557, 22561, 267, 929, 22561, 2676, 19930, 533, 7116, 22561, 2187, 825, 23288, 825, 6156, 525, 8479, 781, 29870, 2016, 2901, 966, 335, 267, 25966, 267, 543, 11002, 334, 267, 610, 454, 825, 1022, 1079, 13412, 1110, 25625, 630, 324, 3052, 269, 25754, 543, 18665, 267, 610, 13557, 543, 623, 454, 825, 1110, 25625, 6393, 825, 16038, 4559, 1152, 780, 825, 1488, 7714, 912, 1038, 642, 335, 267, 5288, 267, 543, 11002, 334, 454, 1038, 610, 1022, 476, 273, 689, 22917, 267, 18665, 267, 13557, 267, 929, 267, 543, 533, 7116, 692, 825, 16849, 912, 1038, 8479, 781, 29870, 538, 533, 2444, 1023, 267, 14529, 692, 825, 23288, 825, 952, 630, 341, 335, 568, 711, 7183, 264, 543, 630, 341, 338, 568, 711, 7183, 264, 543, 630, 24838, 568, 711, 7183, 2187, 1038, 2132, 11002, 334, 2608, 5288, 1262, 273, 2608, 630, 274, 30818, 341, 335, 1262, 273, 910, 476, 275, 30818, 341, 338, 1262, 273, 264, 1315, 630, 341, 335, 1262, 273, 910, 5288, 1262, 273, 2020, 825, 8640, 630, 14153, 568, 711, 7183, 264, 543, 630, 4594, 568, 711, 7183, 2187, 1038, 2132, 18665, 2608, 630, 274, 30818, 4594, 1341, 476, 273, 265, 14153, 264, 1315, 630, 4594, 1341, 18665, 2020, 825, 8640, 630, 12712, 330, 568, 711, 7183, 264, 543, 630, 4594, 568, 711, 7183, 2187, 1038, 2132, 476, 280, 30818, 12712, 330, 2608, 630, 12712, 330, 910, 22917, 264, 1315, 630, 274, 30818, 12712, 330, 910, 22917, 2020, 825, 8640, 630, 12712, 330, 568, 711, 7183, 264, 543, 630, 14153, 568, 711, 7183, 2187, 1038, 2132, 476, 280, 30818, 12712, 330, 265, 14153, 1315, 630, 274, 30818, 12712, 330, 1341, 18665, 2020, 825, 8640, 630, 4594, 568, 711, 7183, 264, 543, 630, 1440, 568, 711, 7183, 2187, 1038, 2132, 22917, 2608, 630, 272, 266, 1440, 264, 2608, 630, 272, 910, 476, 273, 265, 1440, 264, 1315, 929, 692, 825, 8640, 630, 1440, 568, 711, 7183, 264, 543, 630, 14153, 568, 711, 7183, 2187, 1038, 2132, 476, 273, 269, 2608, 18665, 2608, 630, 272, 266, 1440, 2020, 825, 8640, 630, 1440, 568, 711, 7183, 264, 543, 630, 12712, 330, 568, 711, 7183, 2187, 1038, 2132, 476, 274, 269, 2608, 13557, 2608, 630, 272, 910, 476, 273, 265, 1440, 2020, 825, 3116, 912, 1038, 2132, 7183, 7531, 3698, 13557, 17635, 335, 22561, 267, 5288, 22561, 267, 11002, 334, 22561, 267, 18665, 22561, 267, 22917, 22561, 267, 1762, 338, 22561, 267, 929, 22561, 2676, 1363, 533, 7116, 22561, 2187, 825, 23288, 825, 6156, 525, 13557, 29870, 2016, 2901, 966, 335, 267, 25966, 267, 543, 11002, 334, 267, 610, 454, 825, 1022, 1079, 13412, 1110, 25625, 630, 324, 3052, 269, 25754, 543, 18665, 267, 610, 8479, 781, 454, 825, 543, 623, 1110, 25625, 6393, 825, 16038, 4559, 1152, 780, 825, 1488, 7714, 912, 1038, 642, 335, 267, 5288, 267, 543, 11002, 334, 454, 1038, 610, 1022, 476, 273, 689, 22917, 267, 18665, 267, 1762, 338, 267, 929, 267, 543, 533, 7116, 692, 825, 16849, 912, 1038, 10089, 330, 29870, 538, 533, 2444, 1023, 267, 14529, 692, 825, 15981, 692, 825, 952, 630, 341, 335, 568, 711, 7183, 264, 543, 630, 341, 338, 568, 711, 7183, 264, 543, 630, 24838, 568, 711, 7183, 2187, 1038, 2132, 11002, 334, 2608, 630, 341, 335, 1262, 273, 910, 630, 275, 32220, 274, 4700, 16732, 341, 338, 1262, 273, 11723, 825, 8640, 630, 14153, 568, 711, 7183, 264, 543, 630, 4594, 568, 711, 7183, 2187, 1038, 2132, 22917, 1341, 476, 273, 265, 14153, 270, 274, 780, 825, 8640, 630, 14153, 568, 711, 7183, 264, 543, 630, 9767, 978, 338, 568, 711, 7183, 2187, 1038, 2132, 1762, 338, 2608, 18665, 1315, 630, 280, 30818, 14153, 910, 476, 274, 30818, 9767, 978, 338, 2020, 825, 8640, 630, 4594, 568, 711, 7183, 264, 543, 630, 1440, 568, 711, 7183, 2187, 1038, 2132, 22917, 2608, 630, 272, 266, 1440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 519, 2203, 666, 581, 1031, 547, 1118, 11236, 593, 1007, 1239, 269, 634, 1184, 540, 1239, 9781, 568, 27952, 267, 543, 519, 1184, 949, 991, 547, 581, 7368, 609, 8242, 1239, 5036, 547, 2327, 6099, 2773, 563, 32306, 707, 4757, 543, 649, 3513, 6494, 596, 17573, 267, 9237, 454, 335, 668, 334, 1570, 543, 811, 4143, 1543, 269, 0, 26045, 1072, 543, 9716, 6257, 519, 2489, 1533, 540, 3929, 267, 2790, 267, 543, 1514, 9716, 540, 606, 1367, 269, 898, 13462, 547, 875, 513, 1808, 14621, 607, 1134, 607, 20781, 547, 519, 1158, 267, 1519, 1175, 875, 646, 610, 1352, 23297, 607, 1134, 607, 3217, 1416, 540, 2566, 269, 589, 1268, 779, 5626, 1072, 543, 9716, 5540, 1169, 2460, 540, 1010, 610, 1200, 1272, 267, 689, 1175, 875, 789, 3494, 543, 1745, 547, 741, 4110, 540, 1514, 9525, 269, 12989, 616, 930, 1455, 4191, 543, 2589, 607, 1134, 607, 2188, 602, 1860, 2790, 9716, 269, 5623, 593, 547, 1265, 856, 513, 2603, 811, 269, 1403, 596, 723, 1022, 1826, 540, 2055, 7282, 1141, 543, 2081, 547, 8415, 4591, 2065, 23488, 670, 1777, 1186, 2517, 310, 2346, 7868, 3128, 2524, 534, 551, 4231, 269, 4467, 267, 596, 666, 1289, 721, 693, 519, 2985, 563, 10932, 1353, 1318, 883, 519, 4128, 585, 4965, 814, 2965, 2813, 930, 10578, 4681, 269, 634, 8186, 540, 2043, 7680, 689, 4965, 1397, 2168, 11941, 267, 799, 949, 948, 3313, 922, 2601, 269, 17797, 906, 538, 2067, 6464, 267, 799, 616, 7363, 2813, 538, 519, 2247, 267, 949, 10123, 3565, 269, 1452, 6464, 5968, 609, 5778, 15132, 7057, 547, 2226, 1533, 540, 2247, 3354, 269, 901, 1353, 267, 20866, 267, 3884, 1406, 17046, 269, 898, 779, 1898, 547, 10146, 4965, 543, 922, 4191, 1991, 547, 3168, 585, 5351, 563, 289, 13633, 28146, 4524, 454, 763, 1655, 18522, 17299, 4576, 8313, 267, 1323, 1133, 638, 2884, 9650, 267, 786, 6157, 2981, 519, 1797, 596, 1589, 540, 713, 1966, 269, 18838, 676, 1082, 1004, 12936, 676, 519, 2068, 267, 3391, 568, 16041, 609, 29829, 4388, 607, 1134, 607, 2200, 547, 5351, 596, 11883, 609, 621, 1169, 1554, 269, 898, 10123, 814, 3730, 5013, 3823, 2126, 607, 1134, 607, 3075, 269, 31849, 540, 17299, 28146, 4524, 21075, 11338, 2874, 540, 1367, 8941, 607, 1134, 607, 4810, 5583, 269, 1323, 5140, 2707, 585, 2043, 609, 17299, 28146, 4524, 568, 519, 594, 21990, 293, 3896, 563, 3725, 11734, 3435, 616, 4749, 606, 1898, 5057, 540, 2126, 585, 18624, 269, 1452, 3435, 13404, 593, 3450, 1004, 1175, 875, 547, 4383, 741, 3232, 1272, 267, 4308, 609, 17173, 3871, 267, 543, 5431, 1360, 2038, 16315, 540, 9695, 269, 15380, 267, 18624, 16716, 2038, 538, 513, 1268, 779, 1272, 269, 29407, 2533, 6662, 547, 4051, 2043, 1272, 31193, 5759, 267, 2059, 609, 5351, 873, 2407, 2866, 610, 3180, 513, 960, 269, 8081, 539, 15041, 7877, 3292, 616, 11338, 6093, 267, 607, 1134, 607, 666, 4217, 1004, 609, 18624, 1265, 1582, 25252, 11797, 563, 2252, 596, 723, 1044, 7231, 609, 24753, 585, 1896, 1296, 267, 596, 723, 2965, 4440, 4862, 540, 519, 16663, 3413, 12089, 547, 519, 2783, 269, 1809, 952, 596, 2461, 2576, 945, 814, 2965, 4810, 24753, 20250, 267, 596, 4076, 1034, 2693, 20402, 1018, 596, 666, 798, 3823, 621, 269, 21231, 267, 596, 666, 3605, 519, 4191, 540, 24753, 267, 799, 616, 4749, 3765, 6247, 29471, 676, 519, 1857, 269, 3509, 1004, 4308, 609, 519, 6161, 540, 9301, 4191, 543, 2589, 609, 24753, 610, 1373, 24565, 676, 1866, 1317, 540, 873, 269, 634, 1434, 3377, 568, 267, 972, 616, 3875, 2200, 2139, 547, 4217, 2043, 4383, 519, 1966, 563, 20776, 341, 643, 832, 540, 15779, 2621, 1522, 1995, 2042, 609, 741, 2729, 267, 1519, 519, 3668, 540, 2702, 547, 3180, 1394, 513, 960, 607, 1134, 607, 2921, 12257, 538, 4247, 789, 950, 6068, 269, 4256, 4606, 1522, 581, 25302, 607, 1134, 607, 789, 1522, 957, 538, 11389, 32208, 610, 7050, 2081, 269, 4595, 17173, 14026, 1860, 1312, 519, 1560, 543, 2247, 267, 621, 568, 2556, 547, 7390, 547, 1022, 2186, 540, 5626, 1072, 543, 9716, 2042, 602, 949, 1020, 269, 769, 1082, 2665, 267, 519, 2360, 540, 15265, 2621, 666, 581, 14388, 267, 12018, 741, 3347, 609, 3448, 267, 2828, 267, 543, 32283, 619, 563, 7212, 972, 568, 1100, 2786, 1357, 3095, 538, 1063, 2790, 9716, 543, 4160, 267, 1382, 2982, 602, 10770, 543, 849, 6905, 2566, 666, 1039, 547, 6266, 540, 2152, 269, 6431, 11962, 8082, 666, 1764, 519, 2295, 543, 849, 1585, 824, 1560, 8219, 267, 2569, 519, 1560, 779, 4761, 1062, 267, 607, 1134, 607, 7519, 10307, 607, 1134, 607, 824, 2934, 269, 7831, 532, 4160, 568, 10123, 4448, 547, 2799, 6937, 585, 4791, 4965, 607, 1134, 607, 1585, 824, 2790, 4713, 269, 12824, 616, 27057, 15388, 519, 2360, 540, 6905, 2566, 543, 4160, 593, 519, 1560, 607, 1134, 607, 2247, 269, 1280, 811, 1344, 7282, 519, 4276, 538, 1063, 2566, 543, 4160, 607, 1134, 607, 2790, 1072, 543, 9716, 267, 1224, 519, 2110, 4930, 7396, 2630, 269, 1403, 596, 723, 1022, 4990, 540, 28780, 11341, 547, 1141, 543, 1175, 875, 547, 946, 11455, 11222, 338, 267, 596, 666, 3346, 721, 693, 938, 1357, 22240, 563, 15124, 10372, 5532, 547, 519, 1641, 2127, 538, 713, 2376, 267, 596, 1223, 7654, 899, 281, 0, 763, 1101, 957, 4667, 13856, 676, 519, 26415, 269, 1261, 5526, 538, 1614, 540, 519, 2947, 10207, 267, 543, 568, 5941, 538, 835, 811, 563, 2026, 814, 1044, 1419, 7074, 267, 519, 1101, 1899, 540, 519, 1404, 568, 513, 2243, 267, 1498, 1175, 513, 4161, 676, 519, 9856, 4947, 593, 10279, 547, 519, 835, 646, 779, 13868, 269, 1703, 616, 513, 1906, 7138, 1782, 8292, 602, 2303, 11552, 848, 1851, 519, 7980, 269, 12770, 3081, 646, 568, 968, 338, 1157, 693, 2295, 892, 538, 1840, 547, 1373, 4411, 269, 9710, 26559, 3081, 602, 968, 320, 4062, 540, 1864, 892, 568, 1459, 950, 4446, 333, 16037, 12134, 952, 646, 779, 972, 269, 2334, 949, 581, 1175, 513, 24983, 2443, 1498, 1018, 1281, 621, 1611, 286, 2443, 855, 5267, 1010, 771, 638, 2884, 269, 9710, 26559, 6257, 519, 4128, 585, 519, 2112, 3697, 21339, 602, 789, 2461, 782, 3222, 540, 267, 855, 649, 1810, 1406, 5873, 1022, 811, 540, 519, 1793, 11691, 540, 2025, 10783, 514, 30944, 676, 17283, 779, 4651, 538, 513, 2582, 8396, 543, 519, 23069, 540, 930, 21785, 8513, 676, 519, 20636, 1533, 267, 693, 2547, 2394, 519, 1360, 1439, 950, 1762, 10783, 514, 30944, 10393, 13788, 547, 28958, 519, 1631, 8900, 17599, 563, 1103, 1249, 267, 519, 2797, 4282, 568, 17736, 545, 6681, 676, 922, 9000, 538, 519, 1404, 607, 621, 4652, 9529, 269, 6196, 17283, 568, 711, 7255, 676, 621, 267, 855, 676, 1010, 12638, 676, 1010, 7015, 269, 634, 2797, 3510, 2501, 909, 950, 19863, 3780, 771, 6312, 2583, 12397, 601, 3780, 543, 5292, 339, 655, 663, 547, 2025, 16157, 547, 5000, 1864, 547, 5368, 538, 1762, 10783, 514, 30944, 267, 855, 713, 568, 1360, 3533, 18808, 609, 269, 1703, 786, 581, 513, 6429, 950, 17283, 12034, 454, 293, 677, 514, 30944, 3056, 606, 7952, 547, 7001, 930, 533, 5306, 787, 3787, 540, 8513, 267, 855, 1010, 6161, 568, 519, 9642, 1145, 540, 519, 20089, 563, 3719, 519, 5920, 540, 519, 26415, 543, 922, 30671, 547, 3717, 12662, 513, 2631, 540, 1193, 836, 8864, 543, 23487, 1472, 519, 5480, 6429, 602, 5205, 269, 19863, 3780, 3947, 513, 1360, 1857, 4990, 540, 8051, 585, 1018, 1590, 581, 5538, 17331, 1004, 267, 1010, 6727, 7365, 547, 519, 15596, 540, 519, 2025, 4622, 267, 7247, 646, 7125, 1010, 968, 323, 792, 7015, 2223, 543, 519, 30422, 267, 968, 332, 9500, 538, 24133, 892, 543, 968, 323, 597, 613, 538, 7365, 892, 2443, 8272, 628, 543, 546, 597, 613, 3100, 3592, 547, 22565, 2443, 3100, 771, 638, 2884, 532, 269, 22682, 267, 17283, 568, 21039, 538, 31366, 267, 5310, 519, 1152, 835, 267, 1317, 519, 10348, 7512, 1864, 547, 968, 4751, 1010, 3781, 569, 2681, 1055, 1848, 630, 296, 666, 2760, 1224, 713, 1899, 1510, 19551, 519, 1899, 538, 645, 3757, 27895, 779, 4670, 267, 968, 1103, 519, 12213, 11068, 342, 5793, 2223, 538, 799, 519, 1915, 945, 779, 4730, 519, 10348, 3081, 1352, 779, 2141, 12922, 1352, 3580, 2161, 968, 4751, 16815, 11954, 3781, 344, 1055, 1848, 264, 17283, 1202, 1235, 602, 519, 5920, 540, 31366, 949, 711, 10646, 1864, 267, 855, 646, 814, 602, 1369, 799, 10596, 971, 1397, 269, 19863, 3780, 685, 4633, 1065, 549, 1324, 17283, 2982, 513, 26832, 1202, 27383, 547, 1010, 31366, 267, 855, 5267, 607, 1134, 513, 2797, 7941, 1063, 873, 269, 17283, 23216, 711, 547, 979, 1394, 547, 31864, 1084, 6199, 267, 855, 538, 1219, 2397, 547, 1010, 3993, 269, 1809, 1287, 19863, 3780, 685, 30418, 602, 1010, 4272, 2218, 6704, 786, 581, 25967, 1819, 676, 28994, 976, 2469, 1055, 5267, 811, 540, 519, 1561, 3064, 1214, 540, 968, 332, 9500, 538, 24133, 1848, 1548, 2186, 540, 18560, 6499, 547, 723, 513, 666, 12061, 8929, 1055, 950, 646, 10425, 267, 2523, 950, 1010, 7015, 814, 1175, 5747, 888, 3719, 1287, 17283, 779, 1101, 1151, 559, 13228, 344, 26208, 676, 922, 6679, 267, 602, 646, 16858, 1010, 31366, 267, 9642, 569, 1572, 1010, 968, 338, 1638, 1221, 17145, 2223, 1131, 3274, 2014, 1010, 2669, 610, 602, 646, 1223, 6146, 5128, 269, 634, 2669, 540, 513, 4651, 1131, 15983, 2014, 18354, 267, 6148, 4965, 267, 855, 971, 513, 1032, 940, 585, 2669, 568, 3665, 269, 1809, 602, 17119, 640, 2501, 689, 1010, 3993, 779, 7525, 7365, 547, 1200, 7015, 2987, 25237, 563, 4517, 1631, 5310, 649, 2253, 547, 1294, 519, 2601, 585, 519, 11552, 848, 6829, 676, 519, 7980, 269, 17283, 14753, 540, 968, 4532, 652, 6681, 9212, 1848, 1772, 621, 1651, 652, 6681, 286, 634, 7525, 7365, 1281, 2303, 3105, 13277, 6670, 563, 295, 600, 2280, 779, 7525, 1750, 1359, 909, 950, 646, 12034, 9710, 26559, 543, 519, 824, 1079, 568, 11495, 269, 9406, 2476, 646, 2306, 513, 24983, 540, 519, 7365, 281, 621, 729, 4278, 3424, 865, 602, 519, 24133, 19323, 16469, 1223, 4196, 607, 4411, 2451, 13569, 585, 519, 16806, 269, 1809, 1287, 646, 5612, 6920, 519, 1928, 621, 3361, 267, 855, 538, 519, 9642, 2856, 602, 646, 1131, 2864, 6999, 547, 1294, 1010, 632, 11732, 535, 4141, 538, 13140, 982, 602, 1554, 540, 7365, 269, 3973, 972, 779, 2656, 5188, 607, 9710, 26559, 22281, 338, 519, 5920, 540, 519, 26415, 543, 17283, 17118, 1864, 593, 621, 269, 1879, 519, 1866, 4734, 267, 17283, 21334, 525, 1010, 27421, 540, 28067, 1404, 269, 1809, 1946, 286, 6496, 519, 554, 7360, 7365, 2303, 602, 547, 1864, 888, 9928, 2940, 476, 274, 8441, 519, 2631, 540, 8954, 633, 1894, 538, 519, 5480, 269, 5487, 1068, 525, 568, 7255, 676, 7805, 1330, 1154, 540, 1010, 11078, 676, 17283, 267, 543, 1310, 5487, 1068, 525, 3762, 267, 741, 4651, 556, 3438, 919, 602, 267, 5555, 17246, 27570, 14956, 3559, 807, 547, 1294, 17283, 269, 28514, 267, 17283, 568, 606, 29043, 267, 20158, 1762, 812, 267, 855, 1946, 1058, 646, 581, 865, 5134, 27434, 286, 1703, 568, 1010, 2797, 4567, 543, 519, 2990, 713, 12662, 1010, 1761, 7365, 538, 269, 1809, 568, 713, 6190, 585, 741, 5134, 6412, 286, 2717, 517, 3780, 685, 18572, 568, 6829, 676, 1010, 4098, 547, 31657, 5487, 1068, 525, 685, 22576, 267, 1287, 1033, 8724, 1864, 609, 513, 3046, 14141, 540, 1434, 855, 6671, 5796, 269, 1284, 949, 14353, 602, 1010, 9963, 827, 17283, 568, 851, 540, 713, 6671, 13657, 563, 763, 1985, 1079, 10207, 3100, 3592, 851, 540, 519, 1482, 6429, 267, 538, 799, 17283, 15359, 1206, 519, 26415, 543, 519, 26415, 862, 1080, 1864, 547, 20947, 269, 570, 26786, 883, 519, 4098, 568, 17283, 779, 3210, 547, 9710, 26559, 779, 9983, 693, 519, 28994, 976, 2469, 1055, 281, 621, 779, 19863, 3780, 685, 6704, 2688, 543, 25495, 938, 2631, 602, 713, 568, 606, 9642, 543, 6148, 19838, 2674, 13519, 2259, 269, 1809, 1287, 621, 5012, 17283, 547, 4766, 1018, 949, 3100, 3592, 606, 2272, 540, 13249, 16950, 269, 1772, 602, 1018, 713, 568, 286, 1548, 1281, 646, 1611, 676, 621, 888, 2691, 519, 26415, 5526, 267, 17283, 4667, 1714, 730, 267, 9599, 3592, 3564, 1852, 269, 898, 949, 581, 713, 602, 5012, 1010, 2828, 547, 2119, 547, 1964, 1778, 1864, 689, 1739, 519, 26415, 269, 1809, 1246, 646, 1281, 267, 543, 519, 26415, 1028 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 606, 21084, 2078, 267, 2043, 1445, 593, 9319, 4376, 602, 1522, 9594, 741, 1928, 269, 901, 4250, 12454, 2623, 666, 1291, 547, 771, 1263, 1771, 689, 6209, 2238, 267, 971, 607, 12348, 267, 1514, 856, 902, 267, 610, 2168, 3350, 269, 3683, 942, 267, 7683, 9319, 1928, 949, 2333, 1928, 8417, 676, 19249, 8849, 11444, 538, 519, 2634, 269, 1879, 596, 9846, 2057, 2238, 602, 949, 2014, 1928, 267, 596, 2811, 9247, 10213, 707, 2634, 602, 891, 2238, 616, 22247, 267, 17923, 513, 2631, 540, 3463, 543, 8594, 563, 22546, 338, 540, 21084, 2623, 454, 763, 4539, 540, 21084, 2623, 538, 3210, 547, 10770, 1928, 666, 581, 2484, 23568, 543, 17672, 547, 835, 781, 2949, 1134, 5630, 269, 1280, 1383, 912, 268, 4317, 10072, 281, 3680, 532, 2238, 543, 1514, 2621, 1813, 547, 4250, 540, 1928, 666, 1291, 547, 4606, 540, 20420, 543, 10072, 269, 901, 1514, 15639, 666, 2417, 22652, 4606, 540, 4965, 543, 4160, 267, 2870, 513, 30380, 4783, 563, 268, 13809, 540, 12348, 543, 4690, 281, 29179, 909, 12348, 543, 4690, 1813, 547, 1928, 21084, 666, 3775, 2043, 540, 519, 7772, 543, 2631, 540, 22920, 602, 2501, 689, 2502, 538, 2238, 789, 2899, 6068, 269, 901, 666, 3565, 547, 513, 7771, 538, 2790, 1072, 543, 2949, 1272, 9547, 563, 268, 8447, 632, 935, 1288, 532, 281, 1635, 9319, 2168, 2238, 267, 2043, 949, 1995, 4887, 8467, 543, 4389, 9025, 8516, 269, 901, 2168, 632, 935, 1288, 532, 666, 1267, 538, 8519, 6198, 4390, 267, 1818, 621, 1256, 811, 4101, 547, 4497, 538, 3232, 4247, 543, 2238, 563, 268, 25841, 1582, 12635, 543, 1582, 30797, 281, 1879, 2043, 16111, 2057, 2238, 1813, 547, 1928, 267, 741, 1582, 12635, 543, 3661, 538, 741, 2702, 547, 4383, 1928, 543, 1685, 4247, 949, 581, 11874, 4299, 563, 14300, 540, 21084, 2623, 454, 2414, 1732, 1174, 21084, 3347, 267, 2015, 519, 1739, 1806, 912, 268, 13191, 1031, 547, 2972, 2469, 585, 15211, 538, 519, 6288, 855, 1631, 30417, 873, 1813, 547, 1200, 5312, 1394, 1928, 269, 2701, 12194, 602, 6972, 1522, 22652, 1200, 1928, 267, 865, 1352, 13978, 16280, 1034, 540, 519, 942, 563, 268, 8751, 814, 10770, 8405, 1928, 543, 30417, 17666, 5230, 3615, 267, 1256, 1498, 1010, 4387, 814, 15695, 1864, 602, 1769, 2597, 331, 14823, 568, 2922, 543, 6225, 269, 901, 21084, 814, 3366, 547, 513, 7771, 538, 1010, 2949, 4222, 543, 8516, 563, 268, 19626, 2833, 5312, 31264, 543, 30417, 11504, 1514, 2621, 610, 19771, 609, 10978, 2575, 610, 6505, 8279, 269, 1306, 513, 1267, 267, 1352, 814, 1831, 5051, 9678, 689, 2828, 543, 1920, 563, 7021, 5765, 21084, 2623, 454, 2414, 2736, 519, 4783, 540, 21084, 543, 2087, 835, 781, 2078, 609, 1928, 267, 621, 568, 1898, 547, 912, 268, 25506, 21084, 2623, 281, 17291, 519, 2238, 543, 3871, 1373, 14284, 1813, 547, 4250, 540, 1928, 568, 519, 1101, 1900, 538, 5466, 21084, 3347, 563, 268, 19573, 531, 4598, 281, 3399, 676, 32543, 18166, 14284, 2238, 538, 513, 16795, 543, 6417, 6073, 267, 2921, 1416, 711, 547, 7903, 13951, 1932, 2182, 610, 1932, 3728, 563, 268, 5590, 10853, 3853, 281, 19372, 24276, 2110, 3856, 543, 1279, 3856, 3853, 547, 948, 22919, 6015, 543, 1628, 1582, 30797, 538, 5883, 1928, 563, 268, 16418, 1489, 281, 12056, 609, 513, 3782, 3318, 267, 11836, 513, 1489, 1895, 267, 610, 6158, 547, 2828, 543, 1920, 827, 835, 781, 9620, 609, 1928, 543, 21084, 666, 1683, 3407, 4030, 543, 19015, 269, 0, 28495, 21317, 525, 723, 606, 11141, 2702, 547, 3180, 741, 7362, 14015, 269, 2755, 519, 3169, 8653, 9775, 4470, 593, 519, 2249, 543, 2825, 2175, 267, 1298, 21317, 525, 666, 3335, 3180, 741, 7362, 585, 1896, 3764, 269, 901, 7415, 9542, 568, 1500, 2009, 676, 741, 2189, 7929, 1062, 267, 799, 2636, 873, 547, 10110, 5135, 689, 519, 1216, 998, 7463, 3889, 1572, 838, 4275, 3380, 269, 1452, 838, 4275, 3380, 616, 4092, 593, 519, 5011, 540, 741, 1560, 543, 666, 581, 17401, 20177, 547, 2061, 1216, 689, 10024, 269, 1635, 8066, 741, 7362, 267, 1298, 21317, 525, 616, 2111, 547, 2263, 12748, 5054, 543, 1256, 6968, 585, 10352, 14015, 269, 901, 9542, 8711, 519, 6909, 4763, 540, 7929, 2994, 1851, 18714, 7103, 543, 2488, 3407, 4030, 883, 519, 13916, 543, 6668, 6127, 540, 1298, 21317, 525, 563, 8368, 540, 12937, 454, 268, 2578, 21317, 525, 666, 3180, 741, 7362, 585, 1896, 3764, 14015, 563, 268, 4256, 7929, 1062, 2636, 873, 547, 10110, 5135, 689, 1216, 998, 838, 4275, 3380, 563, 268, 11790, 971, 607, 2759, 10389, 19344, 267, 30439, 531, 1949, 267, 543, 8965, 14624, 1860, 1298, 21317, 324, 7362, 3620, 13783, 5759, 563, 268, 7756, 2249, 540, 1298, 21317, 525, 723, 8795, 7362, 3620, 13783, 2053, 267, 609, 930, 1373, 2111, 547, 3180, 741, 7362, 585, 909, 547, 476, 279, 3108, 563, 763, 10334, 540, 2578, 21317, 324, 1763, 17508, 454, 763, 7929, 1062, 540, 1298, 21317, 525, 568, 513, 1888, 540, 1719, 538, 519, 2361, 540, 7350, 269, 2578, 21317, 525, 4866, 547, 519, 18105, 636, 1488, 6605, 18649, 543, 723, 7960, 2189, 14624, 547, 7520, 19344, 269, 9521, 7786, 267, 799, 5097, 7048, 593, 30439, 531, 1949, 585, 3154, 5385, 267, 1298, 21317, 525, 4865, 513, 7463, 7929, 1062, 1634, 607, 838, 4275, 3380, 269, 1975, 4275, 3380, 616, 1507, 23761, 4092, 2059, 519, 5011, 540, 741, 1560, 12415, 602, 1291, 547, 513, 3060, 540, 8685, 983, 3889, 1572, 30439, 2801, 269, 1452, 30439, 2801, 5838, 5135, 2047, 547, 519, 2281, 267, 3850, 585, 3608, 3154, 5385, 269, 901, 12105, 5413, 6087, 1298, 21317, 525, 547, 8853, 538, 1585, 5054, 609, 1114, 5135, 2157, 269, 634, 26715, 11460, 540, 741, 7929, 1062, 5849, 606, 7850, 3761, 540, 5135, 267, 14123, 741, 6668, 543, 3811, 17091, 538, 3309, 9249, 563, 26502, 18748, 532, 2578, 21317, 324, 22165, 327, 6953, 13783, 2806, 1988, 454, 26502, 971, 607, 2825, 2175, 543, 12214, 14624, 3310, 519, 2702, 540, 1298, 21317, 525, 547, 22036, 5712, 1510, 19344, 269, 2578, 21317, 525, 723, 7960, 1978, 2934, 602, 1450, 873, 547, 16641, 5135, 22975, 538, 741, 1604, 563, 268, 12338, 10389, 19344, 281, 2578, 21317, 525, 666, 10110, 5135, 998, 741, 6094, 2759, 1834, 267, 3850, 873, 547, 1365, 790, 1256, 950, 24760, 538, 1216, 563, 268, 570, 2350, 515, 531, 1062, 281, 1452, 7103, 4865, 513, 3060, 540, 30439, 531, 13740, 602, 5838, 5135, 2047, 547, 2281, 267, 7175, 3608, 3154, 5385, 563, 268, 5450, 20326, 2557, 5786, 281, 2578, 21317, 525, 666, 2539, 741, 10894, 2557, 1282, 5712, 540, 1970, 5135, 8244, 267, 4227, 519, 3747, 585, 5135, 563, 268, 27118, 21740, 10307, 281, 2368, 2249, 616, 5827, 540, 17303, 15175, 547, 26103, 10307, 950, 5135, 2157, 616, 13385, 267, 3850, 873, 547, 7639, 1510, 19344, 585, 2110, 5712, 563, 268, 19884, 14624, 281, 769, 3210, 547, 30369, 2175, 267, 1298, 21317, 525, 949, 4283, 513, 1533, 540, 512, 2734, 610, 3276, 992, 883, 5848, 2127, 1141, 789, 666, 18359, 7509, 543, 2569, 7929, 7569, 563, 13434, 867, 31771, 2578, 21317, 324, 22165, 327, 6953, 13783, 8648, 454, 13434, 867, 31771, 1298, 21317, 324, 7362, 3620, 13783, 2053, 723, 1044, 4767, 267, 10834, 606, 11108, 2702, 547, 16641, 5712, 1510, 19344, 269, 2578, 21317, 525, 723, 7960, 1585, 12214, 6127, 602, 1450, 873, 547, 7639, 538, 5135, 31398, 337, 1882, 5054, 543, 22036, 6905, 5712, 1510, 7244, 269, 1452, 14624, 5512, 873, 547, 17908, 3309, 9249, 543, 7639, 896, 4101, 2175, 563, 3080, 540, 519, 7415, 10781, 538, 1298, 21317, 324, 7362, 3620, 13783, 568, 519, 2702, 540, 930, 2249, 547, 3180, 741, 7362, 585, 27314, 569, 1279, 546, 15342, 269, 1280, 3236, 267, 513, 1353, 13006, 602, 519, 19176, 1298, 21317, 324, 630, 306, 3712, 641, 754, 571, 1016, 4944, 514, 6346, 264, 666, 3180, 922, 7362, 585, 909, 547, 476, 279, 3108, 269, 6270, 5638, 5031, 519, 6909, 7929, 14624, 22234, 676, 891, 7103, 563, 2414, 2417, 1174, 519, 2594, 31771, 10781, 540, 1298, 21317, 525, 538, 8066, 741, 7362, 267, 7305, 476, 272, 2488, 513, 6476, 540, 8037, 2249, 543, 741, 5021, 6592, 7362, 3620, 13783, 2053, 912, 347, 11854, 2886, 1475, 16655, 3065, 22165, 327, 6953, 13783, 5384, 2008, 347, 309, 2884, 17592, 2578, 21317, 324, 1475, 279, 3108, 2008, 347, 5327, 1068, 2578, 21317, 324, 1475, 275, 3108, 2008, 347, 8649, 7571, 1014, 27951, 2578, 21317, 324, 1475, 273, 269, 276, 3108, 2008, 347, 31359, 2578, 21317, 324, 1475, 1789, 3764, 2008, 347, 1805, 821, 2578, 21317, 324, 1475, 1428, 3764, 2008, 4322, 11141, 5759, 616, 2693, 19658, 676, 2189, 26715, 2934, 971, 607, 838, 4275, 3380, 267, 30439, 531, 1949, 267, 543, 3608, 5135, 13345, 1369, 741, 8031, 269, 4329, 1382, 883, 519, 12214, 6127, 3297, 891, 9058, 905, 1846, 786, 1683, 4514, 5813, 883, 519, 7415, 13916, 540, 1298, 21317, 525, 538, 1585, 5054, 563, 3849, 2194, 725, 585, 7201, 4248, 1763, 17508, 538, 2578, 21317, 525, 454, 15152, 4248, 19344, 538, 1298, 21317, 525, 568, 19658, 676, 2189, 26715, 2934, 543, 12214, 6127, 269, 2578, 21317, 525, 723, 7960, 1896, 14624, 602, 1450, 873, 547, 1365, 790, 7561, 538, 12748, 5054, 267, 3246, 873, 609, 12105, 5383, 538, 2474, 540, 6668, 543, 17091, 269, 1452, 2189, 7929, 14624, 1331, 912, 268, 570, 2350, 515, 531, 1949, 281, 2578, 21317, 525, 4865, 7463, 30439, 531, 3889, 602, 8831, 689, 741, 838, 4275, 3380, 267, 7175, 5135, 3560, 2047, 547, 741, 8031, 563, 268, 12338, 7781, 12381, 281, 634, 2759, 1834, 540, 12748, 1298, 21317, 525, 568, 25182, 543, 811, 15449, 762, 547, 9362, 267, 14123, 3154, 5385, 2066, 519, 1560, 2627, 563, 268, 717, 1571, 281, 2368, 2249, 540, 1298, 21317, 525, 4865, 575, 650, 6438, 3889, 4092, 593, 741, 14159, 16289, 1137, 267, 799, 5351, 538, 25935, 5135, 689, 1216, 563, 268, 25841, 10894, 2557, 281, 7201, 4248, 19344, 2636, 1298, 21317, 525, 547, 18359, 1648, 676, 4227, 741, 10894, 2557, 1247, 1869, 13844, 6190, 5135, 585, 6668, 563, 268, 19884, 6114, 281, 15742, 2249, 8858, 5615, 971, 607, 9363, 5163, 1652, 610, 24159, 1927, 547, 7413, 1216, 2095, 936, 741, 7929, 7252, 563, 4322, 2189, 14624, 5512, 1298, 21317, 525, 547, 8853, 538, 513, 3099, 540, 12748, 9249, 543, 17908, 24760, 2200, 3927, 563, 3412, 4124, 540, 2578, 21317, 324, 22165, 327, 6953, 13783, 585, 27834, 11150, 454, 763, 2702, 540, 1298, 21317, 525, 547, 3180, 741, 7362, 585, 6905, 5712, 814, 1713, 6286, 585, 741, 6668, 2994, 269, 901, 9542, 2636, 873, 547, 6330, 1585, 12748, 5054, 543, 17908, 1007, 8733, 12137, 1127, 269, 2578, 21317, 525, 5097, 946, 2759, 10389, 19344, 267, 1141, 3154, 5385, 4386, 998, 519, 2960, 269, 1635, 8066, 741, 7362, 267, 789, 666, 2057, 4598, 547, 5739, 6878, 538, 519, 1216, 610, 1970, 5135, 2157, 269, 901, 2702, 849, 6087, 873, 547, 7001, 10352, 14015, 1510, 18731, 741, 7929, 1062, 269, 5015, 267, 1298, 21317, 525, 685, 7362, 3620, 13783, 2623, 5267, 12105, 6286, 3823, 741, 11937, 543, 519, 5912, 689, 18714, 547, 12748, 9249, 269, 898, 568, 2693, 602, 713, 16023, 7960, 607, 513, 3210, 547, 2825, 2242, 267, 3246, 606, 5413, 538, 3695, 543, 9001, 1114, 9249, 2429, 741, 12105, 1686, 269, 4197, 519, 8733, 4644, 543, 12105, 6286, 540, 1298, 21317, 324, 7362, 3620, 13783, 8309, 547, 938, 1702, 540, 875, 7103, 3082, 543, 8853, 538, 3309, 5054, 269, 0, 29445, 4802, 6019, 16504, 1656, 5664, 3427, 6039, 476, 27868, 1053, 538, 9344, 2776, 11779, 7124, 268, 279, 563, 763, 2875, 281, 974, 12329, 5223, 540, 476, 1556, 281, 272, 729, 2539, 982, 519, 8419, 1533, 1377, 540, 476, 1626, 281, 272, 563, 14737, 528, 640, 27350, 729, 476, 3451, 260, 540, 519, 2875, 1560, 630, 332, 1994, 640, 4563, 1070, 799, 729, 2539, 982, 519, 8419, 1533, 3328, 540, 476, 5038, 260, 630, 332, 1994, 640, 17104, 1916, 13707, 15858, 11334, 454, 10743, 676, 6103, 454, 14240, 540, 16301, 476, 1220, 279, 268, 1220, 280, 3427, 5729, 4578, 454, 13750, 5426, 630, 14566, 994, 22923, 2433, 11819, 22472, 454, 10521, 610, 811, 14797, 454, 5472, 23532, 20492, 454, 292, 5554, 1043, 585, 5131, 700, 4875, 454, 292, 5554, 1043, 585, 25841, 700, 4875, 454, 18662, 3557, 4204, 13281, 454, 18662, 10588, 8745, 454, 13126, 281, 476, 1220, 279, 268, 1220, 280, 630, 26245, 652, 1153, 1032, 2139, 264, 2817, 4741, 585, 4065, 10803, 630, 10998, 2464, 1070, 18919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15154, 7167, 476, 273, 269, 271, 257, 1934, 269, 8248, 8024, 262, 8186, 1115, 267, 2495, 741, 4978, 827, 741, 1378, 703, 7498, 15152, 3220, 269, 8381, 781, 5718, 267, 519, 1982, 786, 1847, 4464, 609, 519, 8331, 8330, 549, 23331, 18951, 1062, 607, 922, 1007, 538, 1606, 10628, 18951, 3760, 563, 19465, 593, 1382, 827, 4514, 1514, 15041, 10899, 6278, 454, 4517, 528, 571, 543, 519, 4975, 3163, 1382, 1895, 693, 519, 20037, 9012, 6997, 616, 2921, 593, 519, 4161, 540, 7432, 1656, 528, 571, 883, 606, 968, 12421, 14260, 1234, 7498, 4910, 333, 1157, 267, 14600, 322, 3559, 269, 17151, 13717, 15206, 281, 4980, 22899, 27065, 3414, 18768, 267, 32425, 267, 3212, 619, 267, 543, 7591, 269, 20037, 4964, 267, 476, 1001, 278, 563, 299, 604, 13717, 15206, 290, 738, 22899, 27065, 998, 18768, 267, 32425, 267, 3212, 619, 267, 543, 7591, 267, 676, 14600, 322, 3559, 1763, 333, 1157, 20288, 5320, 676, 8230, 28120, 810, 7498, 10870, 1922, 15903, 676, 620, 636, 590, 16194, 16210, 590, 996, 328, 267, 1133, 560, 19099, 22456, 2488, 1863, 543, 1970, 21057, 3860, 1565, 3255, 547, 1053, 538, 3127, 563, 763, 700, 9680, 302, 10158, 325, 5407, 1788, 10905, 700, 9680, 302, 267, 17562, 267, 543, 26869, 883, 513, 19209, 540, 1788, 2861, 1565, 543, 12504, 2257, 585, 14609, 514, 7498, 290, 2106, 628, 807, 6601, 1794, 7002, 543, 1866, 1865, 519, 1764, 540, 3642, 593, 2069, 267, 543, 875, 621, 1522, 581, 4294, 538, 18532, 2081, 547, 2087, 1565, 563, 1607, 568, 519, 4890, 8631, 540, 3781, 2742, 637, 563, 28036, 543, 5326, 3173, 616, 28409, 585, 606, 4434, 9395, 2287, 540, 10229, 1876, 547, 562, 760, 782, 713, 538, 519, 5229, 1354, 621, 6238, 538, 7118, 652, 563, 10527, 1761, 585, 21568, 540, 891, 4066, 568, 607, 522, 2381, 748, 607, 621, 568, 6654, 3034, 5475, 3213, 832, 8179, 547, 27464, 17499, 8186, 547, 4555, 540, 14420, 267, 3744, 723, 1572, 585, 1225, 2125, 593, 2048, 339, 1173, 9643, 5326, 29164, 19028, 763, 570, 573, 332, 6702, 12389, 25076, 5800, 531, 568, 513, 1382, 1788, 602, 6212, 593, 519, 1374, 543, 21753, 540, 513, 533, 822, 559, 542, 602, 786, 25281, 7498, 763, 5398, 7732, 16743, 16510, 630, 12195, 21197, 264, 814, 5063, 5950, 922, 5767, 3860, 1565, 2534, 281, 769, 29788, 1963, 2336, 307, 615, 916, 268, 10000, 256, 568, 513, 18789, 1505, 540, 2870, 4870, 520, 1963, 543, 1486, 19685, 7317, 2326, 689, 24906, 5687, 31129, 11435, 602, 3362, 1336, 513, 7498, 25215, 976, 1043, 3642, 585, 4317, 25085, 618, 543, 4065, 630, 6938, 30990, 264, 11394, 547, 7668, 811, 1004, 547, 7119, 538, 267, 543, 4324, 689, 267, 3642, 563, 14276, 8021, 543, 519, 20037, 9012, 6997, 616, 2186, 1042, 14326, 269, 8625, 267, 649, 4126, 547, 1374, 1007, 3292, 585, 8021, 2066, 519, 772, 2529, 563, 24927, 3820, 11042, 17151, 13717, 15206, 12854, 2875, 808, 1446, 525, 320, 3004, 653, 538, 8956, 540, 6468, 779, 3778, 13600, 563, 19400, 519, 11042, 5342, 676, 19396, 21989, 609, 6997, 1499, 11969, 328, 13879, 267, 808, 1446, 525, 320, 3004, 653, 267, 631, 4115, 631, 3578, 14241, 267, 543, 5981, 529, 16593, 563, 290, 3041, 1382, 24988, 6257, 1010, 3853, 538, 2870, 513, 1357, 14373, 3126, 3695, 4264, 1646, 538, 4000, 563, 8777, 1645, 1053, 593, 543, 1055, 519, 5496, 543, 519, 9059, 540, 1373, 513, 15400, 2186, 1120, 691, 1676, 563, 23458, 2079, 8761, 2009, 15699, 540, 5198, 268, 543, 4747, 2861, 9740, 7934, 563, 1607, 3381, 5967, 568, 513, 851, 540, 9012, 6997, 2473, 269, 271, 281, 16262, 1108, 540, 8751, 528, 4900, 16638, 476, 1708, 271, 267, 1101, 4458, 12854, 1053, 693, 519, 20037, 9012, 6997, 941, 512, 553, 7498, 297, 1446, 525, 320, 3004, 653, 12909, 827, 1200, 4876, 2619, 267, 875, 2029, 1958, 3941, 519, 2418, 540, 922, 9858, 267, 543, 519, 2956, 540, 1404, 563, 300, 4115, 631, 3578, 14241, 12909, 827, 1200, 4876, 2619, 267, 689, 7344, 4702, 547, 1374, 1382, 563, 4263, 7046, 4804, 13669, 802, 267, 595, 2106, 628, 807, 6601, 1794, 7002, 543, 18238, 28822, 641, 2536, 1865, 5841, 4987, 2069, 563, 2421, 7325, 10005, 9294, 541, 2946, 1299, 590, 16194, 16210, 590, 996, 328, 454, 22860, 4506, 2143, 1239, 689, 16594, 7922, 4169, 547, 1174, 875, 3214, 4497, 609, 4070, 626, 7924, 1565, 4066, 267, 609, 519, 6693, 26903, 12632, 3173, 689, 513, 3099, 540, 1114, 4610, 267, 1519, 519, 6997, 779, 1378, 595, 2106, 628, 807, 6601, 1794, 7002, 267, 945, 616, 5935, 519, 2104, 540, 3642, 563, 29557, 1153, 1053, 556, 574, 2602, 519, 13334, 3760, 269, 4841, 2015, 519, 8639, 538, 13334, 267, 519, 3804, 540, 519, 16252, 3473, 9461, 7498, 12867, 538, 519, 29079, 3955, 5865, 1895, 543, 11992, 616, 15691, 547, 1451, 811, 827, 875, 543, 1946, 9909, 616, 6383, 267, 543, 741, 2360, 563, 763, 16066, 4804, 19541, 568, 3710, 1472, 513, 20165, 540, 4804, 26665, 3298, 689, 2066, 519, 3309, 1382, 2516, 540, 519, 9012, 6997, 269, 7498, 763, 7046, 15557, 8805, 630, 5357, 290, 264, 568, 513, 1007, 1826, 540, 3318, 1646, 1982, 585, 9972, 3401, 540, 18758, 543, 1857, 5823, 1418, 21289, 7498, 1103, 5239, 267, 20037, 18799, 519, 14736, 4752, 585, 12590, 13241, 10432, 267, 799, 3769, 513, 1883, 16694, 676, 595, 2106, 628, 807, 6601, 1794, 7002, 563, 300, 3951, 14747, 14736, 4752, 2680, 540, 12590, 13241, 10432, 2443, 513, 1533, 4204, 5691, 11812, 540, 918, 268, 1321, 2069, 563, 3528, 8349, 2106, 968, 6717, 892, 14576, 267, 4400, 3427, 18947, 543, 9608, 7605, 1824, 2902, 454, 18658, 798, 596, 1616, 547, 581, 950, 596, 1332, 909, 18313, 1692, 3450, 607, 513, 1106, 540, 3860, 960, 666, 581, 1732, 23518, 609, 3860, 2645, 563, 2171, 2125, 924, 2813, 607, 513, 4028, 3210, 547, 13044, 268, 866, 11729, 6397, 4030, 883, 1018, 779, 2009, 585, 8757, 6267, 693, 513, 3845, 563, 25105, 24703, 267, 962, 269, 630, 1708, 271, 1040, 13088, 602, 13722, 519, 4469, 14995, 267, 654, 16582, 519, 654, 8712, 267, 543, 14780, 1047, 519, 9919, 559, 902, 585, 27588, 11300, 4804, 23800, 269, 630, 300, 7539, 19080, 1040, 12590, 4659, 540, 5303, 563, 14399, 779, 5711, 1893, 1983, 538, 9251, 666, 3589, 741, 4081, 1967, 2663, 538, 1272, 269, 29955, 1453, 2087, 741, 1893, 543, 6693, 763, 3483, 540, 519, 18638, 568, 547, 1374, 543, 10131, 1007, 2228, 1565, 3292, 585, 519, 6997, 3294, 543, 519, 2950, 649, 960, 609, 563, 1692, 1522, 649, 15407, 3059, 5698, 2645, 547, 1489, 12322, 538, 2679, 2146, 543, 2502, 538, 1930, 25804, 267, 1374, 2861, 960, 888, 1692, 1522, 649, 1118, 621, 1745, 1447, 17559, 585, 3506, 547, 2119, 1007, 1919, 267, 24617, 543, 538, 13254, 888, 3725, 557, 2718, 4030, 883, 519, 1480, 2783, 543, 28472, 2634, 4713, 3842, 3209, 2645, 585, 11837, 543, 21338, 2634, 26398, 0, 288, 22414, 5811, 540, 634, 10439, 5800, 2001, 1023, 540, 13609, 543, 23237, 607, 12429, 22955, 540, 4256, 1763, 8826, 18831, 454, 291, 527, 568, 646, 339, 3541, 1372, 1148, 1731, 601, 538, 552, 523, 556, 4060, 1148, 1731, 601, 523, 936, 4072, 27528, 575, 525, 577, 1221, 523, 529, 679, 25399, 324, 563, 288, 1393, 584, 281, 774, 597, 5633, 8709, 670, 1993, 933, 2102, 454, 10527, 1533, 1590, 17551, 519, 1126, 547, 581, 519, 1034, 10475, 14951, 540, 519, 1004, 269, 1306, 1279, 607, 519, 2229, 568, 9228, 607, 2324, 585, 519, 4324, 540, 519, 1453, 267, 519, 1004, 786, 25747, 22036, 3592, 1022, 1225, 18571, 618, 540, 15698, 543, 3592, 1022, 22975, 3034, 268, 29747, 13609, 267, 2725, 514, 918, 2086, 325, 630, 4572, 276, 264, 3097, 2026, 713, 10839, 676, 13609, 2306, 2312, 267, 1453, 941, 16363, 1360, 1271, 538, 519, 3084, 24180, 16809, 269, 1879, 13609, 2663, 3357, 547, 1379, 267, 519, 4644, 540, 1453, 538, 13303, 5125, 607, 6829, 538, 519, 10839, 729, 2322, 883, 2259, 609, 519, 5748, 540, 1896, 6107, 3906, 267, 519, 1034, 1271, 1373, 519, 13609, 15272, 630, 295, 527, 2401, 808, 1872, 754, 264, 543, 519, 13477, 540, 4436, 21989, 630, 289, 1495, 1546, 583, 2675, 615, 631, 7564, 23437, 1040, 5015, 267, 2069, 540, 1453, 729, 6963, 539, 547, 3514, 538, 1369, 519, 3084, 24180, 16809, 269, 634, 8561, 593, 1453, 607, 519, 22449, 540, 13303, 5125, 729, 15991, 2189, 269, 20290, 693, 519, 1482, 942, 538, 23237, 779, 8168, 5742, 267, 519, 6107, 729, 21821, 539, 538, 3906, 971, 607, 519, 918, 1682, 558, 565, 269, 634, 2956, 540, 6689, 729, 5310, 6444, 1256, 4505, 538, 519, 21340, 2706, 8063, 982, 538, 13303, 5125, 267, 609, 31240, 12578, 632, 3288, 3171, 19163, 602, 2048, 728, 553, 540, 6689, 543, 15114, 11542, 693, 519, 4099, 540, 519, 8168, 5742, 779, 10504, 20671, 1788, 1282, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 10200, 3097, 1103, 713, 1957, 267, 8938, 3119, 2959, 630, 335, 1886, 698, 7701, 19297, 267, 588, 3042, 5961, 543, 10367, 264, 689, 476, 4350, 274, 547, 476, 4198, 274, 267, 799, 1459, 13609, 543, 23237, 607, 2048, 15289, 338, 540, 519, 4182, 685, 786, 581, 9916, 538, 6935, 547, 519, 7209, 1381, 338, 540, 1312, 3401, 267, 609, 519, 2243, 1373, 4280, 547, 1018, 6708, 13609, 779, 543, 23237, 779, 2592, 607, 2048, 15289, 338, 540, 519, 4182, 685, 607, 3308, 1242, 538, 18259, 689, 713, 1974, 666, 581, 3379, 547, 835, 1776, 269, 634, 3903, 585, 519, 1297, 8938, 607, 519, 2179, 540, 3119, 2959, 9916, 538, 713, 1957, 568, 711, 14626, 1211, 531, 267, 607, 972, 616, 8938, 1296, 1063, 476, 4350, 274, 547, 476, 4198, 274, 267, 519, 1974, 6074, 607, 519, 942, 18134, 540, 713, 1957, 269, 5015, 267, 676, 26471, 606, 3160, 1297, 540, 4557, 3119, 2959, 547, 1142, 9598, 1807, 267, 519, 4960, 540, 835, 9598, 1807, 1373, 811, 5941, 982, 519, 824, 568, 15286, 269, 9603, 547, 519, 3908, 9165, 540, 519, 1957, 267, 711, 782, 540, 519, 3119, 2959, 786, 581, 5941, 14384, 538, 1454, 1469, 269, 5502, 267, 538, 713, 1957, 267, 621, 814, 1044, 6074, 547, 1921, 782, 519, 3119, 2959, 609, 835, 1776, 676, 1167, 518, 940, 1455, 3270, 1063, 519, 1896, 2959, 952, 2009, 269, 4475, 267, 1247, 519, 2079, 540, 519, 3119, 2959, 593, 741, 1378, 693, 1101, 949, 711, 3100, 547, 581, 1360, 2048, 514, 3829, 8730, 594, 723, 13986, 547, 3095, 519, 3119, 2959, 609, 1142, 824, 538, 513, 1259, 602, 538, 519, 8273, 4605, 267, 519, 2489, 3074, 543, 8753, 594, 723, 6537, 23248, 798, 1118, 2631, 563, 763, 9165, 540, 8938, 1296, 267, 1287, 267, 729, 6074, 607, 621, 6227, 782, 540, 13609, 779, 12964, 1296, 607, 6205, 540, 13303, 5125, 630, 4350, 274, 268, 3707, 276, 264, 543, 3762, 4055, 547, 5659, 519, 6521, 538, 519, 946, 540, 1453, 538, 8168, 18259, 896, 23237, 1354, 267, 1282, 543, 1310, 519, 5822, 2622, 2782, 269, 3143, 811, 982, 1079, 2959, 689, 519, 1482, 1032, 723, 1044, 6074, 547, 5659, 538, 1931, 547, 3382, 519, 8938, 4458, 942, 18134, 607, 14961, 607, 2009, 269, 6736, 713, 267, 1447, 1570, 540, 1312, 28983, 1373, 4843, 609, 1453, 1282, 519, 2112, 1296, 1223, 581, 1336, 269, 901, 666, 581, 6045, 676, 519, 1249, 602, 689, 519, 12289, 540, 12996, 538, 476, 4350, 280, 27477, 267, 519, 2832, 540, 18259, 17146, 689, 9306, 13609, 607, 606, 8098, 10928, 267, 22973, 812, 2509, 4509, 1857, 27907, 543, 2810, 1489, 585, 519, 2112, 4674, 269, 476, 6684, 267, 538, 519, 8168, 5742, 267, 18259, 1282, 519, 2112, 1296, 729, 849, 5631, 1031, 547, 28487, 3084, 1489, 585, 519, 2112, 4674, 543, 18609, 14718, 1004, 547, 21821, 269, 3097, 10376, 540, 519, 3119, 2959, 723, 1044, 5697, 593, 1614, 7355, 267, 1346, 1373, 602, 519, 3169, 1032, 538, 799, 519, 18259, 729, 3370, 610, 1500, 568, 1634, 267, 602, 2296, 16627, 540, 519, 5931, 610, 1793, 690, 753, 4843, 538, 519, 18259, 729, 2139, 543, 602, 519, 2959, 2901, 2047, 1397, 519, 28983, 538, 519, 4527, 540, 1453, 610, 2446, 13609, 610, 23237, 538, 6935, 547, 519, 1453, 17814, 538, 873, 269, 634, 2959, 798, 711, 8209, 723, 547, 2446, 13609, 610, 23237, 2047, 538, 6935, 547, 4651, 3125, 267, 855, 513, 533, 11189, 2065, 10182, 2509, 519, 1453, 1590, 581, 24829, 538, 930, 1259, 630, 324, 3052, 269, 519, 9598, 1807, 1590, 581, 4843, 607, 606, 936, 31186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 5078, 585, 1053, 10010, 547, 12337, 21159, 269, 1703, 616, 1614, 5686, 540, 2055, 596, 666, 3442, 689, 269, 1411, 666, 3442, 547, 4194, 835, 9912, 2042, 5627, 8918, 2338, 610, 2898, 2338, 610, 946, 2262, 2861, 2409, 585, 6061, 17447, 610, 8454, 269, 3962, 2985, 568, 16922, 540, 476, 1015, 4834, 269, 1452, 12307, 6096, 616, 5227, 585, 1053, 689, 476, 276, 628, 547, 476, 279, 628, 3446, 563, 4322, 3211, 666, 581, 1031, 547, 1449, 6824, 9273, 607, 1134, 607, 824, 15821, 2035, 269, 1411, 666, 3442, 689, 1082, 5686, 540, 2979, 2042, 1210, 891, 3211, 269, 1411, 666, 2824, 513, 2262, 2861, 1966, 610, 513, 10230, 269, 898, 568, 1898, 547, 4584, 519, 1966, 1826, 267, 1317, 1142, 835, 786, 581, 1114, 269, 14210, 2042, 616, 538, 1142, 2985, 267, 543, 789, 616, 5140, 2200, 585, 1053, 538, 519, 476, 276, 628, 547, 476, 279, 628, 9344, 563, 4322, 3211, 4001, 1053, 827, 519, 2078, 1063, 4632, 543, 2338, 269, 634, 3211, 1577, 1053, 2259, 6061, 9971, 4834, 543, 3605, 875, 547, 946, 4834, 538, 741, 3232, 2729, 269, 1403, 596, 2461, 538, 3406, 540, 606, 3872, 1907, 602, 786, 948, 596, 1174, 4834, 543, 7215, 621, 568, 2009, 547, 2253, 676, 3695, 891, 3211, 269, 1452, 3211, 666, 4001, 596, 827, 1585, 5686, 540, 6310, 2152, 607, 1134, 607, 519, 1082, 6698, 602, 616, 1031, 547, 2769, 873, 563, 1607, 4976, 568, 5393, 3730, 585, 1453, 538, 519, 1101, 3446, 269, 634, 3211, 786, 948, 1053, 1451, 875, 547, 4194, 4834, 607, 1134, 607, 3113, 269, 1452, 3211, 616, 4998, 547, 2259, 609, 9971, 4632, 269, 1452, 3211, 666, 948, 596, 14458, 543, 3815, 873, 269, 1703, 616, 7899, 540, 3211, 602, 666, 581, 1031, 547, 4001, 1453, 827, 4834, 269, 23560, 519, 960, 3054, 568, 519, 1655, 1259, 547, 4487, 4834, 563, 2467, 616, 1082, 3211, 547, 948, 596, 1174, 13392, 4834, 269, 3962, 1377, 814, 741, 1378, 4976, 269, 1452, 3211, 616, 513, 1390, 1259, 547, 960, 593, 6061, 2042, 2394, 519, 8772, 4110, 269, 4495, 596, 723, 6192, 606, 2179, 540, 960, 543, 616, 4712, 547, 960, 593, 824, 2010, 540, 4834, 269, 4495, 596, 723, 6192, 602, 267, 596, 616, 2111, 547, 960, 693, 6061, 2147, 7400, 2042, 269, 1280, 1383, 267, 596, 1522, 2697, 513, 1966, 602, 814, 519, 1482, 7852, 543, 606, 6905, 1297, 269, 0, 1692, 3533, 798, 4522, 1847, 609, 25329, 888, 2791, 1058, 2503, 547, 5469, 5634, 10593, 538, 707, 4522, 5111, 476, 275, 4374, 689, 1310, 16345, 269, 20523, 10593, 602, 616, 811, 7298, 2154, 811, 942, 607, 789, 1831, 18476, 1310, 5111, 476, 273, 268, 274, 3275, 269, 634, 2110, 2626, 547, 519, 2243, 540, 2436, 25329, 1847, 707, 4522, 4948, 568, 9811, 563, 2710, 25329, 1847, 4522, 16074, 888, 1607, 568, 7301, 281, 2937, 4522, 798, 543, 666, 6521, 936, 942, 267, 2436, 610, 711, 596, 1185, 25329, 607, 513, 21717, 610, 1126, 269, 1924, 9811, 267, 4522, 1847, 16074, 267, 1498, 519, 1689, 1522, 581, 6650, 1061, 1043, 693, 1101, 269, 17859, 540, 5959, 9178, 610, 3983, 6208, 267, 938, 4522, 2356, 6521, 936, 942, 267, 4611, 538, 10616, 267, 3765, 7955, 618, 267, 543, 5186, 12097, 1145, 563, 1432, 779, 519, 13074, 942, 547, 5957, 25329, 888, 2791, 666, 2356, 2503, 547, 5957, 707, 25329, 1100, 3476, 982, 513, 5021, 540, 476, 274, 1296, 269, 2755, 713, 1281, 3280, 899, 606, 15372, 5944, 1279, 942, 547, 723, 4496, 936, 707, 4522, 267, 1832, 538, 2247, 713, 568, 519, 10782, 2013, 9183, 269, 5565, 1296, 267, 2285, 610, 1491, 267, 568, 513, 1454, 811, 4977, 2856, 540, 519, 3259, 713, 25329, 1184, 786, 1491, 585, 596, 563, 2710, 26966, 626, 17642, 523, 4522, 1310, 25329, 888, 2691, 2659, 4858, 806, 22067, 5510, 13689, 593, 707, 5711, 1072, 6208, 267, 707, 4522, 1522, 2965, 581, 18632, 952, 596, 1185, 3536, 609, 24470, 267, 5694, 9178, 2042, 610, 4769, 1406, 11453, 543, 19568, 1419, 269, 1403, 707, 4522, 5749, 1406, 3043, 267, 1810, 1406, 31361, 256, 4107, 2550, 798, 4522, 31820, 1310, 741, 25329, 547, 1205, 741, 1007, 2786, 12837, 31394, 563, 1432, 568, 519, 3328, 942, 585, 25329, 888, 4913, 267, 519, 3328, 3259, 540, 942, 547, 5957, 25329, 568, 2356, 689, 476, 272, 547, 476, 273, 1296, 269, 1280, 930, 2043, 25329, 949, 723, 547, 581, 12816, 585, 3476, 1974, 540, 942, 909, 547, 476, 274, 1296, 610, 865, 543, 585, 930, 824, 2043, 519, 942, 8653, 547, 5957, 25329, 949, 581, 14758, 563, 2691, 1705, 1004, 1376, 9849, 25329, 888, 1432, 1034, 1004, 1522, 2697, 607, 2413, 25329, 2731, 1101, 7902, 538, 519, 476, 866, 628, 2540, 269, 901, 568, 513, 942, 950, 1082, 1004, 538, 1896, 1114, 2477, 8329, 547, 2038, 26966, 923, 269, 901, 568, 519, 1974, 1141, 4496, 12904, 941, 6368, 1031, 2066, 519, 4395, 540, 519, 4522, 563, 2691, 941, 25329, 11827, 888, 24154, 806, 941, 1101, 3323, 538, 519, 2038, 476, 5197, 271, 779, 269, 11977, 24234, 729, 519, 835, 547, 6427, 23049, 585, 25329, 269, 1358, 616, 1031, 547, 1118, 707, 4522, 2269, 527, 269, 5445, 616, 23049, 602, 616, 27433, 547, 519, 4395, 540, 707, 4522, 547, 948, 707, 12837, 563, 4692, 25329, 1118, 707, 4522, 3476, 888, 24154, 806, 666, 1406, 1118, 707, 4522, 3476, 269, 29392, 3259, 568, 5462, 6140, 676, 11976, 269, 4858, 806, 666, 267, 2705, 267, 1847, 4522, 865, 602, 811, 630, 528, 1447, 14386, 540, 519, 2048, 322, 3497, 685, 568, 6534, 689, 896, 519, 14779, 269, 0, 1001, 273, 834, 30267, 3796, 769, 595, 5971, 257, 4828, 2552, 652, 454, 763, 28483, 538, 595, 5971, 4828, 2552, 652, 20217, 2136, 2276, 1164, 1153, 1053, 547, 2015, 519, 1523, 540, 2797, 10100, 676, 1603, 606, 1557, 593, 513, 772, 2529, 269, 11221, 4013, 945, 814, 6074, 547, 798, 1018, 568, 1318, 267, 2864, 982, 1018, 568, 11880, 1304, 269, 589, 968, 3682, 12803, 538, 595, 5971, 892, 1557, 568, 513, 5402, 21503, 22281, 532, 540, 513, 1650, 281, 519, 1650, 540, 875, 606, 11221, 4013, 1981, 539, 1010, 610, 1200, 4876, 547, 1491, 513, 1796, 1759, 593, 519, 9598, 919, 540, 25903, 267, 2864, 982, 519, 9598, 919, 540, 1135, 3149, 267, 1719, 2516, 610, 1256, 23466, 269, 634, 16311, 2591, 1164, 1153, 1053, 547, 3605, 1007, 12632, 538, 10100, 267, 543, 547, 4061, 1382, 543, 2328, 827, 6411, 540, 2797, 10100, 602, 7018, 1310, 519, 8313, 540, 17394, 781, 4515, 3796, 538, 595, 5971, 538, 476, 4198, 277, 563, 12812, 1934, 811, 1344, 563, 1607, 3377, 2376, 814, 1163, 1600, 543, 568, 1100, 3476, 2070, 762, 269, 0, 25219, 1006, 3377, 2433, 1548, 568, 519, 3154, 12718, 2681, 3009, 286, 4208, 1152, 519, 2699, 2681, 540, 519, 6469, 12718, 888, 294, 553, 26561, 1031, 585, 1114, 5301, 1472, 519, 1158, 616, 540, 1114, 4778, 269, 13937, 2681, 9479, 616, 1031, 585, 891, 269, 1924, 602, 538, 2013, 540, 606, 6595, 267, 4966, 666, 6430, 5612, 547, 2057, 3595, 610, 24694, 676, 6998, 585, 519, 2681, 3009, 540, 519, 12718, 563, 10861, 294, 26561, 1031, 693, 1753, 616, 2699, 269, 634, 2699, 2681, 568, 2938, 607, 513, 8594, 1129, 865, 13657, 1058, 581, 3144, 1247, 1210, 621, 269, 24641, 267, 519, 3043, 23469, 1279, 12718, 568, 540, 5135, 3154, 269, 898, 568, 3622, 1031, 538, 10506, 563, 4913, 267, 538, 519, 2475, 267, 5135, 2501, 538, 3039, 26561, 269, 1403, 3109, 23469, 3154, 26561, 616, 2938, 12341, 267, 1287, 596, 1058, 1174, 602, 621, 568, 513, 26561, 540, 9436, 3154, 269, 2311, 519, 1482, 942, 267, 3327, 8166, 3154, 568, 4904, 538, 519, 12457, 23469, 12718, 269, 24641, 26775, 3154, 3788, 538, 519, 6960, 12718, 563, 8489, 553, 267, 519, 6607, 4544, 11954, 12718, 568, 1031, 585, 6491, 9317, 12547, 3154, 269, 3502, 1152, 713, 267, 855, 5010, 26561, 540, 700, 22333, 3154, 616, 849, 2139, 538, 4158, 4544, 4778, 538, 3127, 269, 1452, 616, 1031, 538, 15945, 543, 20730, 269, 0, 291, 755, 2659, 667, 10631, 338, 454, 263, 2793, 4916, 296, 28931, 2691, 596, 13236, 513, 521, 662, 540, 8323, 1310, 4758, 707, 1753, 922, 5993, 9488, 7738, 267, 596, 949, 581, 7244, 538, 811, 7452, 267, 13897, 267, 543, 5533, 982, 596, 8275, 1765, 684, 1652, 596, 4076, 849, 20335, 519, 25256, 1062, 19345, 563, 288, 26726, 9046, 454, 7437, 3339, 2713, 267, 1004, 5352, 513, 1390, 4308, 540, 17694, 267, 971, 607, 546, 6387, 267, 7452, 267, 543, 6464, 269, 1452, 1205, 15504, 883, 519, 25256, 1062, 543, 556, 2275, 597, 1529, 730, 2947, 547, 5722, 2053, 513, 1554, 267, 593, 3328, 269, 3683, 942, 267, 713, 3123, 513, 1628, 5346, 540, 13897, 538, 519, 13811, 960, 563, 5278, 1004, 616, 811, 6213, 547, 891, 17694, 982, 1866, 269, 30665, 543, 10447, 24412, 267, 607, 1134, 607, 1762, 1453, 543, 519, 11361, 267, 4043, 547, 581, 811, 11630, 547, 519, 2010, 540, 4057, 11255, 2011, 2298, 602, 2011, 13811, 7738, 666, 948, 2232, 269, 4746, 267, 930, 5321, 949, 581, 811, 11630, 547, 1978, 14107, 267, 1519, 4025, 609, 10130, 267, 21596, 267, 610, 28889, 9934, 3785, 563, 293, 6136, 267, 621, 779, 2653, 547, 4308, 609, 269, 634, 4966, 693, 519, 2817, 5794, 667, 10631, 11162, 619, 5948, 630, 2793, 291, 7563, 264, 2161, 25256, 1949, 1058, 581, 1202, 4624, 543, 19345, 5781, 676, 513, 18019, 267, 14468, 25256, 3318, 563, 763, 3283, 945, 616, 715, 4696, 7563, 2818, 4865, 2489, 15668, 6142, 267, 616, 8036, 543, 7318, 5781, 267, 1129, 593, 547, 513, 3009, 540, 7881, 267, 543, 1590, 2973, 543, 11177, 707, 8022, 543, 9023, 1062, 538, 13076, 609, 715, 4696, 7563, 4441, 267, 865, 789, 1683, 513, 1164, 1377, 540, 3354, 563, 28781, 339, 582, 11548, 12459, 701, 326, 834, 763, 4966, 693, 519, 2817, 5794, 667, 10631, 11162, 619, 5948, 630, 2793, 291, 7563, 264, 2161, 25256, 1949, 1058, 581, 1202, 4624, 543, 19345, 5781, 676, 513, 18019, 267, 14468, 25256, 3318, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1109, 6577, 1774, 513, 22185, 1599, 540, 2990, 269, 13651, 1109, 634, 13506, 540, 535, 568, 20922, 676, 692, 21446, 8271, 267, 538, 5119, 1106, 692, 294, 2784, 1304, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 13506, 540, 642, 568, 513, 21723, 267, 799, 666, 581, 6719, 607, 513, 10085, 19631, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 763, 10085, 19631, 1587, 666, 581, 9450, 26115, 1109, 8117, 950, 10442, 519, 16755, 621, 568, 1271, 547, 11291, 602, 519, 4493, 10321, 616, 3252, 540, 519, 10974, 26115, 30548, 18867, 741, 16755, 798, 711, 642, 4314, 269, 13651, 1109, 1280, 1383, 692, 19723, 1518, 585, 3054, 602, 519, 5119, 8204, 519, 3334, 540, 519, 13506, 540, 513, 6152, 568, 692, 291, 1853, 10885, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 27754, 540, 642, 568, 513, 22185, 267, 799, 666, 581, 6719, 607, 513, 12297, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 26139, 267, 950, 9750, 519, 12297, 1587, 267, 621, 568, 1271, 547, 3314, 547, 16174, 519, 4493, 10321, 269, 17968, 267, 519, 27754, 666, 581, 6829, 607, 2073, 799, 5612, 3947, 692, 10501, 331, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 1225, 331, 540, 642, 568, 513, 6152, 267, 799, 666, 581, 6719, 607, 513, 3444, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 763, 1225, 331, 10355, 5526, 538, 4396, 11707, 865, 519, 3334, 786, 711, 581, 9450, 538, 2407, 692, 291, 1853, 10885, 540, 513, 21723, 1599, 269, 13651, 1109, 13651, 1109, 2913, 26115, 1109, 2041, 513, 21723, 267, 609, 10085, 19631, 6041, 692, 763, 27754, 540, 590, 568, 513, 6152, 267, 799, 666, 581, 6719, 607, 692, 24066, 15070, 519, 3334, 540, 519, 27754, 568, 606, 5393, 32462, 5106, 267, 1317, 1142, 540, 519, 4493, 10321, 538, 519, 10085, 19631, 6041, 540, 590, 1590, 581, 21630, 267, 538, 1840, 547, 519, 3334, 2933, 269, 13651, 1109, 634, 3803, 1267, 630, 10339, 5962, 607, 513, 6241, 6152, 264, 568, 692, 291, 269, 273, 281, 595, 2643, 785, 3740, 1790, 6897, 10974, 692, 291, 269, 273, 269, 272, 10410, 4328, 2798, 538, 2230, 1210, 538, 20425, 1790, 6897, 10974, 692, 2414, 14574, 519, 4087, 540, 513, 1448, 538, 20425, 1790, 6897, 10974, 267, 649, 3442, 606, 5169, 693, 930, 1448, 593, 519, 7852, 540, 519, 12718, 267, 2824, 513, 1770, 6152, 737, 547, 581, 6252, 547, 519, 7852, 540, 519, 12718, 267, 543, 3442, 513, 10375, 4287, 585, 519, 4493, 6152, 1775, 267, 607, 3254, 538, 519, 4605, 269, 13651, 1109, 1284, 1287, 946, 519, 1614, 2338, 26115, 1109, 1729, 12398, 513, 1448, 3330, 519, 12718, 267, 607, 3254, 538, 519, 4605, 269, 26115, 1109, 4322, 616, 711, 3334, 540, 513, 6152, 780, 1103, 1913, 692, 337, 568, 519, 24293, 3845, 540, 623, 689, 519, 7852, 540, 519, 12718, 692, 13651, 28812, 519, 5086, 1063, 519, 1775, 4287, 543, 519, 13651, 1109, 16879, 540, 20525, 5196, 519, 1775, 25814, 7077, 692, 345, 568, 519, 3259, 540, 519, 16879, 540, 20525, 593, 519, 7852, 540, 519, 12718, 780, 3528, 15007, 678, 285, 271, 543, 692, 291, 269, 273, 269, 273, 20593, 1154, 1063, 20425, 8701, 543, 14328, 7047, 14198, 10974, 692, 2691, 649, 946, 513, 31951, 4493, 267, 649, 2697, 2798, 538, 2230, 676, 28408, 519, 3334, 540, 741, 2990, 6152, 3448, 547, 519, 5169, 630, 343, 11971, 267, 345, 1070, 971, 602, 26115, 1109, 13651, 1109, 2691, 649, 946, 513, 20085, 1790, 6897, 11282, 1062, 267, 649, 12398, 2798, 676, 28408, 741, 20085, 1790, 6897, 10974, 692, 763, 12596, 2630, 9305, 519, 1079, 11269, 269, 13651, 1109, 1358, 616, 6508, 1210, 2596, 29890, 692, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 692, 291, 269, 273, 269, 274, 595, 2643, 785, 3740, 1790, 6897, 6041, 540, 10321, 692, 2691, 649, 960, 609, 10321, 538, 20085, 1790, 6897, 10974, 267, 649, 14574, 10321, 607, 3334, 538, 519, 26115, 1109, 321, 12118, 3254, 538, 519, 4137, 269, 13651, 1109, 1280, 1383, 267, 606, 17062, 6152, 513, 568, 2854, 607, 2073, 1141, 26115, 1109, 6577, 1774, 519, 3334, 540, 513, 780, 763, 4493, 10321, 616, 5697, 607, 5205, 692, 13651, 28812, 513, 1770, 6152, 3339, 547, 519, 12718, 693, 623, 692, 13651, 28812, 513, 1770, 6152, 4931, 325, 22460, 547, 519, 12718, 693, 623, 267, 6074, 547, 1118, 26115, 1109, 320, 1318, 19942, 2468, 611, 692, 13651, 28812, 6252, 547, 519, 737, 6152, 780, 2791, 786, 1294, 602, 519, 2990, 6152, 540, 1448, 623, 1131, 581, 6829, 607, 692, 9616, 849, 602, 519, 4493, 10321, 616, 17543, 6074, 547, 14183, 692, 763, 4493, 10321, 723, 1770, 3259, 267, 616, 20102, 13902, 267, 543, 1106, 513, 1318, 19942, 2468, 611, 543, 4061, 26115, 28812, 606, 9647, 517, 5436, 4493, 269, 13651, 1109, 634, 4493, 10321, 616, 6252, 547, 630, 8117, 711, 6697, 547, 264, 519, 2067, 4493, 10321, 585, 513, 20425, 8701, 11282, 1062, 630, 5408, 3848, 476, 1015, 585, 513, 811, 2143, 4901, 6393, 291, 269, 273, 269, 275, 20593, 1154, 10321, 1063, 595, 2643, 785, 3740, 543, 31951, 13279, 692, 4131, 26115, 1109, 2041, 513, 6152, 267, 609, 3334, 26115, 1109, 514, 519, 20085, 1790, 6897, 4493, 1547, 13651, 1109, 2913, 26115, 1109, 6577, 1774, 519, 3334, 540, 513, 538, 519, 4493, 2715, 328, 25814, 267, 330, 348, 780, 763, 1079, 5036, 540, 3334, 616, 1644, 676, 692, 13651, 1109, 13651, 1109, 13651, 1109, 13651, 692, 25332, 2925, 602, 519, 1079, 476, 274, 343, 274, 14290, 3238, 538, 713, 7004, 616, 1098, 5099, 630, 663, 538, 951, 525, 264, 540, 835, 1776, 269, 13651, 1109, 13651, 1109, 634, 7004, 5119, 568, 4061, 26667, 267, 17598, 2073, 1141, 26115, 1109, 6577, 4925, 519, 476, 274, 343, 274, 3961, 5119, 780, 7462, 634, 8174, 566, 540, 891, 2164, 5205, 519, 5650, 13890, 538, 661, 269, 272, 269, 275, 4010, 267, 543, 568, 2451, 607, 606, 3635, 780, 291, 269, 273, 269, 276, 595, 2643, 785, 3740, 6261, 6897, 6041, 540, 9937, 832, 692, 763, 2468, 611, 540, 10321, 26115, 28812, 606, 9647, 517, 5436, 4493, 630, 328, 4318, 269, 519, 1614, 4493, 10321, 723, 1770, 3259, 267, 543, 616, 20102, 13902, 1040, 13651, 1109, 9182, 267, 9937, 832, 666, 581, 6719, 607, 3334, 538, 713, 4493, 538, 4010, 519, 1482, 1259, 607, 585, 513, 6378, 31951, 4493, 1547, 13651, 1109, 769, 1880, 267, 513, 2489, 2034, 1931, 21723, 590, 666, 581, 6719, 607, 513, 476, 274, 343, 274, 5119, 692, 2791, 666, 1589, 540, 26115, 1109, 553, 1373, 6697, 547, 2073, 26115, 1109, 553, 2073, 543, 865, 593, 269, 2353, 21723, 4238, 971, 607, 1840, 267, 8691, 676, 513, 6152, 267, 21723, 2472, 267, 3092, 666, 581, 6829, 538, 2474, 540, 519, 7222, 4238, 593, 713, 5119, 267, 607, 5941, 538, 8791, 645, 273, 540, 25715, 645, 780, 763, 5057, 6041, 540, 513, 21723, 666, 849, 581, 6829, 538, 10085, 19631, 1106, 607, 692, 763, 24616, 538, 8791, 661, 269, 272, 269, 276, 3823, 519, 2168, 4644, 540, 21723, 3334, 849, 10039, 547, 21723, 3334, 538, 20425, 1790, 6897, 10974, 780, 291, 269, 273, 269, 277, 4790, 527, 5737, 4834, 538, 20425, 1790, 6897, 10974, 692, 763, 7587, 5737, 4834, 7396, 538, 3848, 476, 274, 782, 9305, 930, 2268, 540, 2566, 538, 519, 4396, 630, 10339, 5962, 607, 513, 21723, 264, 547, 930, 2268, 540, 2199, 4835, 22636, 630, 1372, 4146, 13506, 267, 25586, 1014, 8833, 267, 2557, 540, 22636, 21723, 267, 3092, 1070, 849, 6829, 607, 513, 21723, 269, 13651, 1109, 634, 7587, 5737, 4834, 666, 581, 1031, 1510, 14842, 538, 20425, 1790, 6897, 10974, 267, 607, 1279, 607, 519, 14290, 540, 31951, 3334, 540, 519, 1585, 9937, 832, 616, 8719, 676, 741, 6697, 14290, 538, 20085, 1790, 6897, 10974, 780, 2690, 1383, 267, 519, 2566, 3613, 1778, 1894, 585, 606, 13666, 22241, 267, 5276, 13412, 1570, 538, 20425, 1790, 6897, 10974, 1224, 692, 763, 13657, 776, 24616, 3823, 606, 529, 32430, 2326, 538, 661, 269, 272, 269, 277, 849, 10039, 547, 20425, 1790, 6897, 11282, 1949, 780, 291, 269, 273, 269, 278, 20593, 1154, 9937, 832, 1063, 31951, 543, 1975, 17202, 6261, 6897, 13279, 692, 4131, 590, 581, 513, 21723, 267, 609, 3334, 692, 514, 519, 20425, 1790, 6897, 4493, 26115, 30548, 519, 31951, 4493, 2715, 328, 25814, 267, 330, 9574, 6606, 269, 13651, 1109, 634, 1079, 5036, 540, 3334, 616, 1644, 676, 692, 291, 269, 273, 269, 279, 21070, 20145, 1210, 595, 2643, 785, 3740, 6261, 6897, 18509, 7149, 692, 15612, 908, 16755, 540, 22185, 267, 6152, 543, 21723, 3252, 540, 2990, 538, 20425, 1790, 6897, 10974, 568, 7294, 676, 519, 1249, 602, 519, 4493, 10321, 616, 3252, 540, 2990, 269, 13651, 1109, 634, 2164, 666, 581, 6829, 538, 513, 11741, 1106, 676, 10747, 519, 13506, 11346, 267, 799, 267, 538, 20085, 1790, 6897, 10974, 267, 814, 519, 6041, 692, 1103, 1840, 267, 519, 1875, 14706, 16755, 540, 519, 4493, 10321, 616, 692, 763, 1585, 16755, 540, 9470, 1513, 267, 10321, 543, 9937, 832, 666, 581, 6829, 1210, 11346, 10035, 607, 5205, 269, 13651, 692, 294, 2784, 1304, 540, 513, 22185, 1599, 281, 2913, 26115, 1109, 6577, 1774, 513, 22185, 1599, 540, 2990, 269, 13651, 1109, 634, 13506, 540, 535, 568, 20922, 676, 692, 21446, 8271, 267, 538, 5119, 1106, 692, 294, 2784, 1304, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 13506, 540, 642, 568, 513, 21723, 267, 799, 666, 581, 6719, 607, 513, 10085, 19631, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 763, 10085, 19631, 1587, 666, 581, 9450, 26115, 1109, 8117, 950, 10442, 519, 16755, 621, 568, 1271, 547, 11291, 602, 519, 4493, 10321, 616, 3252, 540, 519, 11282, 26115, 30548, 18867, 741, 16755, 949, 711, 642, 4314, 269, 13651, 1109, 1280, 1383, 692, 19723, 1518, 585, 3054, 602, 519, 5119, 8204, 519, 3334, 540, 519, 13506, 540, 513, 6152, 568, 692, 291, 1853, 10885, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 27754, 540, 642, 568, 513, 22185, 267, 799, 666, 581, 6719, 607, 513, 12297, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 26139, 267, 950, 9750, 519, 12297, 1587, 267, 621, 568, 1271, 547, 3314, 547, 16174, 519, 4493, 10321, 269, 17968, 267, 519, 27754, 666, 581, 6829, 607, 2073, 799, 5612, 3947, 692, 10501, 331, 540, 513, 6152, 1599, 2913, 26115, 1109, 2041, 513, 6152, 1599, 540, 2990, 269, 634, 1225, 331, 540, 642, 568, 513, 6152, 267, 799, 666, 581, 6719, 607, 513, 3444, 1587, 540, 519, 6152, 609, 519, 13506, 11346, 607, 692, 763, 1225, 331, 10355, 5526, 538, 4396, 11707, 865, 519, 3334, 786, 711, 581, 9450, 538, 2407, 692, 291, 1853, 10885, 540, 513, 21723, 1599, 269, 13651, 1109, 13651, 1109, 2913, 26115, 1109, 2041, 513, 21723, 267, 609, 10085, 19631, 6041, 692, 763, 27754, 540, 590, 568, 513, 6152, 267, 799, 666, 581, 6719, 607, 692, 24066, 15070, 519, 3334, 540, 519, 27754, 568, 606, 5393, 32462, 5106, 267, 1317, 1142, 540, 519, 4493, 10321, 538, 519, 10085, 19631, 6041, 540, 590, 1590, 581, 21630, 267, 538, 1840, 547, 519, 3334, 2933, 269, 13651, 1109, 634, 3803, 1267, 630, 10339, 5962, 607, 513, 6241, 6152, 264, 568, 692, 6262, 264, 589, 12171, 269, 645, 1077, 267, 476, 1220, 279, 454, 1607, 3135, 568, 1500, 11884, 2139, 585, 3872, 5301, 563, 2791, 949, 1349, 2694, 540, 519, 1257, 454, 1721, 1875, 10687, 14293, 5301, 3177, 602, 519, 2707, 568, 11855, 269, 0, 2162, 14419, 519, 4835, 2557, 540, 2132, 585, 513, 1788, 692, 10112, 9892, 6435, 9978, 10803, 454, 7462, 13129, 1100, 281, 15444, 15171, 15389, 5400, 278, 692, 29991, 519, 4835, 2557, 540, 2132, 585, 513, 1788, 602, 3790, 910, 15478, 14983, 267, 4335, 543, 1131, 6556, 1310, 2389, 1314, 6666, 8928, 540, 8096, 2537, 267, 1822, 519, 1101, 1032, 267, 8096, 1839, 267, 1822, 519, 2034, 1032, 267, 8096, 2764, 267, 1822, 519, 3791, 1032, 267, 8096, 1789, 267, 1822, 519, 8772, 1032, 267, 8096, 4097, 267, 1822, 519, 11359, 1032, 267, 543, 8096, 2412, 267, 1822, 519, 15795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26600, 786, 3068, 835, 2489, 4287, 267, 2356, 883, 519, 2842, 267, 855, 596, 786, 723, 1346, 602, 616, 8023, 610, 3001, 827, 602, 786, 581, 6849, 1022, 4287, 563, 8489, 798, 596, 1747, 5163, 1232, 9081, 888, 15368, 1227, 267, 1247, 519, 5163, 540, 519, 4779, 14765, 786, 4482, 26414, 267, 1346, 26414, 4465, 1406, 1616, 547, 2244, 1318, 593, 1283, 540, 1776, 21868, 602, 779, 4947, 538, 585, 513, 13941, 269, 9255, 707, 4779, 14765, 513, 3787, 1055, 547, 519, 2427, 267, 2282, 707, 824, 1232, 9081, 855, 711, 2047, 538, 1899, 609, 873, 267, 543, 693, 513, 1747, 1141, 596, 3580, 723, 519, 21868, 538, 707, 24738, 563, 2710, 26414, 8038, 1510, 2842, 888, 17764, 267, 26414, 543, 2520, 3150, 786, 1869, 8038, 547, 543, 689, 887, 24031, 267, 8023, 543, 3138, 2378, 532, 2127, 267, 855, 609, 1100, 2842, 267, 789, 4465, 1406, 581, 25997, 547, 3136, 3001, 610, 3343, 9350, 2127, 2429, 519, 1554, 269, 4329, 267, 707, 1232, 9081, 786, 1413, 899, 3076, 6804, 1025, 10849, 267, 543, 4352, 5017, 1522, 1935, 707, 535, 1389, 267, 789, 1419, 1810, 1406, 9096, 269, 5213, 1406, 31361, 563, 2710, 26414, 899, 2842, 888, 9336, 1216, 325, 578, 2401, 6159, 1407, 2842, 344, 2395, 267, 950, 1232, 9081, 27342, 543, 1847, 899, 1483, 5017, 267, 543, 26414, 543, 2520, 3150, 1847, 1964, 8393, 269, 1809, 4352, 2842, 1522, 3142, 32041, 1841, 610, 4378, 24329, 1970, 883, 707, 3262, 267, 621, 666, 635, 12393, 519, 8929, 269, 769, 1249, 267, 596, 1419, 723, 547, 4188, 707, 8929, 326, 7342, 1935, 5594, 547, 22771, 1282, 2462, 9514, 338, 563, 1432, 568, 519, 1655, 942, 547, 21868, 6968, 888, 11742, 540, 4303, 281, 898, 568, 5156, 602, 519, 1655, 942, 547, 6968, 585, 1216, 325, 25717, 568, 1282, 519, 1101, 3108, 540, 519, 6640, 1310, 21554, 269, 1717, 602, 3661, 814, 1044, 13934, 676, 21962, 945, 1265, 741, 1034, 3811, 6968, 338, 4755, 538, 519, 12784, 610, 2038, 10543, 269, 0, 763, 829, 1061, 1258, 568, 513, 2241, 24892, 5690, 547, 5721, 513, 5276, 29976, 602, 814, 1044, 9916, 543, 1031, 14916, 269, 634, 29976, 24508, 519, 1239, 883, 1079, 2516, 1210, 513, 3375, 5409, 30350, 267, 609, 519, 14345, 1063, 519, 1239, 543, 519, 5409, 30350, 8159, 519, 29976, 781, 2702, 547, 2489, 1125, 543, 922, 7347, 1145, 547, 3403, 6846, 269, 1401, 716, 2164, 585, 519, 31062, 2450, 540, 519, 19459, 14345, 616, 1634, 585, 1808, 3403, 14778, 267, 543, 23451, 2291, 585, 17062, 14778, 267, 855, 1312, 7048, 593, 17890, 8579, 11707, 9273, 5645, 856, 538, 519, 3970, 540, 12808, 3403, 2450, 269, 3371, 649, 1459, 513, 2110, 2079, 540, 829, 1061, 1258, 8760, 1210, 13737, 1871, 17883, 269, 1284, 1683, 513, 2241, 8174, 566, 540, 513, 2539, 3808, 593, 519, 14345, 543, 606, 8763, 4542, 585, 519, 829, 1061, 1258, 12035, 602, 4780, 2471, 547, 519, 6099, 1267, 585, 1804, 19459, 19114, 563, 763, 829, 1061, 1258, 568, 513, 2241, 5690, 585, 2866, 513, 5276, 29976, 547, 5094, 513, 1239, 1305, 883, 1079, 3982, 5049, 630, 305, 4923, 4565, 3430, 267, 476, 3422, 273, 1040, 898, 1568, 676, 12055, 8271, 21130, 513, 2597, 6152, 547, 5581, 513, 3375, 5409, 30350, 602, 24508, 519, 11378, 883, 519, 1079, 5551, 5049, 630, 300, 31582, 1299, 7433, 339, 267, 476, 3422, 280, 1040, 769, 1840, 547, 922, 16134, 267, 519, 829, 1061, 1258, 5690, 814, 519, 13267, 3959, 540, 4780, 3101, 1310, 513, 13113, 1297, 540, 23200, 952, 519, 1239, 1305, 568, 31085, 3021, 762, 630, 22261, 1731, 4752, 267, 476, 3422, 273, 1916, 5415, 2487, 12381, 540, 519, 3312, 829, 1061, 1258, 723, 3366, 547, 6620, 602, 616, 16798, 547, 27721, 547, 606, 6099, 3070, 1765, 821, 7222, 547, 513, 3375, 5409, 30350, 602, 12366, 958, 24508, 519, 1079, 1239, 5049, 269, 901, 568, 5833, 676, 21924, 519, 19459, 14345, 267, 3989, 607, 519, 3845, 1063, 519, 3403, 5049, 543, 519, 3375, 5409, 30350, 630, 298, 571, 3578, 1299, 631, 2946, 345, 731, 267, 476, 2735, 278, 282, 6154, 1495, 1299, 5576, 777, 790, 267, 476, 1960, 280, 282, 31704, 7999, 1299, 918, 956, 330, 267, 476, 1220, 279, 282, 2806, 321, 2714, 1299, 3223, 16980, 267, 476, 2735, 280, 320, 1040, 901, 4640, 4679, 519, 29976, 781, 7347, 1145, 547, 3403, 6846, 543, 922, 2702, 547, 2489, 1125, 547, 2150, 11712, 1239, 563, 1103, 1200, 25761, 960, 267, 8493, 1676, 630, 2735, 279, 264, 9863, 606, 3169, 6935, 1063, 519, 1297, 540, 3270, 519, 829, 1061, 1258, 814, 547, 19665, 543, 519, 31062, 14345, 12492, 762, 269, 901, 1267, 267, 2705, 267, 6585, 1152, 538, 519, 5687, 11946, 673, 3970, 630, 3602, 519, 1297, 540, 11409, 543, 3403, 3270, 4422, 547, 20581, 264, 543, 585, 4830, 543, 1541, 1227, 7856, 11378, 269, 645, 2432, 593, 519, 14345, 941, 2663, 5833, 676, 570, 1046, 22603, 267, 918, 558, 7568, 1157, 328, 267, 543, 10197, 18315, 630, 1960, 272, 264, 543, 570, 1046, 22603, 543, 10197, 18315, 630, 1960, 273, 264, 585, 513, 2489, 3892, 540, 11378, 998, 513, 18187, 320, 1505, 2079, 630, 300, 2946, 345, 731, 267, 8303, 328, 267, 1299, 5164, 553, 19660, 267, 476, 2735, 278, 1916, 5978, 1292, 1267, 568, 606, 4830, 8174, 566, 540, 519, 3808, 5833, 676, 570, 1046, 22603, 1696, 620, 269, 630, 1960, 272, 264, 543, 570, 1046, 22603, 543, 10197, 18315, 630, 1960, 273, 264, 1210, 10026, 5276, 7223, 2409, 267, 1519, 13737, 1871, 17883, 269, 13018, 267, 649, 1397, 602, 519, 14345, 568, 22112, 676, 519, 8766, 13737, 1871, 540, 519, 5119, 4171, 9587, 616, 519, 3403, 3270, 269, 901, 1267, 568, 4570, 585, 1022, 1305, 540, 3403, 3270, 543, 1281, 711, 8263, 1022, 1880, 9756, 2497, 269, 3776, 2079, 849, 2488, 513, 3551, 8174, 566, 540, 519, 29660, 2987, 2091, 3070, 547, 519, 829, 1061, 1258, 630, 31094, 333, 1794, 267, 24053, 517, 267, 1299, 667, 9445, 325, 639, 267, 476, 2735, 276, 282, 20855, 614, 1299, 590, 20234, 565, 31582, 267, 476, 2735, 278, 1070, 799, 2488, 513, 6806, 27322, 4082, 585, 519, 12035, 540, 519, 829, 1061, 1258, 602, 4780, 2471, 547, 519, 6099, 3070, 585, 1804, 2418, 540, 519, 19459, 14345, 563, 763, 829, 1061, 1258, 814, 1044, 1031, 607, 513, 1907, 538, 513, 3099, 540, 4610, 8151, 689, 3684, 1565, 630, 26466, 1495, 1299, 5576, 777, 790, 267, 476, 1960, 280, 1070, 998, 9781, 540, 1808, 2634, 4525, 630, 289, 14725, 601, 267, 670, 752, 574, 267, 1772, 2100, 267, 24385, 531, 267, 1299, 4446, 13118, 267, 476, 1220, 275, 264, 547, 2866, 2409, 585, 838, 10884, 543, 3375, 6194, 8849, 5121, 630, 24154, 1457, 267, 590, 3317, 267, 1299, 674, 639, 328, 267, 476, 1220, 278, 282, 15519, 2714, 328, 1696, 620, 1421, 476, 1001, 271, 1040, 589, 2241, 1259, 540, 7421, 519, 829, 1061, 1258, 666, 1683, 3407, 5813, 883, 782, 891, 4610, 563, 763, 590, 13748, 17883, 540, 519, 3403, 5119, 590, 5267, 606, 6697, 829, 1061, 1258, 1966, 5833, 676, 21716, 519, 5119, 772, 883, 519, 2597, 6152, 1547, 634, 3312, 543, 6697, 30422, 616, 912, 2690, 3852, 374, 285, 271, 267, 1265, 609, 865, 602, 554, 19031, 2340, 358, 378, 3852, 374, 267, 585, 782, 13179, 267, 1141, 630, 303, 272, 994, 2690, 1265, 609, 865, 602, 585, 782, 13179, 267, 1141, 630, 303, 273, 994, 274, 269, 4982, 2526, 775, 540, 623, 272, 543, 623, 273, 281, 1133, 16225, 532, 519, 6936, 17435, 3290, 1275, 540, 519, 9046, 454, 30860, 602, 538, 2489, 267, 519, 5119, 3852, 352, 309, 307, 540, 519, 829, 1061, 1258, 1966, 267, 623, 273, 267, 568, 606, 678, 6398, 533, 5119, 267, 1141, 678, 568, 519, 7584, 540, 590, 269, 623, 272, 543, 623, 273, 616, 4061, 6697, 547, 606, 678, 8820, 829, 1061, 1258, 1362, 4328, 533, 3270, 269, 769, 1880, 267, 519, 6963, 1637, 267, 623, 273, 267, 796, 1723, 951, 519, 3020, 10155, 1275, 540, 519, 8760, 1966, 693, 1688, 563, 275, 269, 32680, 4813, 1637, 543, 13722, 21940, 593, 3852, 374, 454, 763, 2241, 8174, 566, 540, 3830, 476, 275, 269, 274, 267, 799, 5526, 607, 3830, 476, 1321, 538, 570, 1046, 22603, 543, 10197, 18315, 630, 1960, 273, 1070, 568, 519, 1292, 1267, 540, 938, 4063, 269, 901, 8174, 566, 729, 1500, 2009, 676, 519, 19862, 623, 273, 267, 799, 3815, 3278, 856, 519, 5119, 772, 543, 2636, 513, 835, 3562, 14633, 11837, 1063, 519, 12035, 543, 519, 588, 3809, 1547, 634, 3808, 568, 3730, 538, 2665, 1141, 3169, 2164, 585, 519, 31062, 14345, 616, 711, 1634, 563, 276, 269, 589, 1849, 2216, 6363, 768, 8827, 585, 519, 13379, 21070, 454, 2171, 723, 7152, 519, 10626, 540, 7311, 13737, 1871, 17883, 547, 519, 829, 1061, 1258, 1966, 585, 513, 2656, 543, 2241, 8174, 566, 540, 1896, 2164, 563, 763, 3312, 1966, 814, 715, 26968, 985, 269, 1717, 267, 519, 3270, 2965, 9114, 538, 606, 678, 8820, 1016, 11898, 838, 10165, 676, 519, 9587, 540, 772, 267, 543, 3976, 972, 616, 1152, 678, 4830, 5232, 540, 5191, 269, 634, 19862, 623, 273, 796, 1723, 951, 519, 3020, 10155, 1275, 540, 519, 1966, 676, 21716, 772, 538, 519, 2597, 10321, 269, 6271, 1259, 547, 1413, 693, 713, 1267, 568, 676, 15663, 602, 519, 1655, 2597, 6152, 1058, 581, 513, 5276, 4999, 540, 519, 3403, 3270, 630, 294, 518, 331, 1299, 918, 9445, 267, 476, 1960, 275, 1040, 11569, 267, 519, 7004, 11225, 513, 835, 3562, 14633, 6935, 1063, 519, 678, 8820, 10321, 543, 519, 715, 8820, 10321, 538, 519, 678, 8820, 1016, 11898, 838, 10165, 676, 519, 3270, 269, 17006, 513, 5057, 547, 602, 568, 26667, 547, 782, 3270, 786, 2333, 519, 2343, 540, 1510, 7700, 547, 519, 8760, 540, 519, 3403, 3270, 563, 2171, 666, 21656, 519, 13829, 540, 519, 2597, 6152, 593, 519, 3403, 3270, 676, 17697, 569, 10747, 519, 6152, 540, 4806, 7418, 607, 1547, 634, 3334, 1535, 19031, 616, 1634, 607, 519, 32750, 9342, 540, 519, 3270, 543, 941, 1031, 547, 9305, 519, 829, 1061, 1258, 1966, 547, 22357, 11938, 630, 2304, 331, 31348, 1299, 645, 773, 25632, 267, 476, 2735, 280, 1040, 769, 1880, 267, 585, 519, 6099, 3070, 547, 519, 829, 1061, 1258, 267, 649, 723, 602, 513, 2016, 4806, 568, 2901, 4010, 593, 519, 14345, 543, 12799, 23876, 676, 519, 12035, 267, 610, 621, 568, 2417, 2476, 689, 519, 14345, 543, 568, 8850, 9286, 1510, 1373, 23876, 538, 519, 12035, 269, 1284, 666, 3362, 17589, 891, 2175, 1369, 938, 6101, 1143, 676, 11341, 543, 1547, 13018, 267, 29780, 519, 8847, 540, 543, 631, 883, 3830, 476, 273, 269, 274, 10522, 1547, 1284, 1631, 4063, 602, 952, 649, 32677, 519, 6099, 3070, 547, 3830, 476, 275, 269, 273, 676, 513, 6152, 2073, 519, 1267, 568, 1547, 1677, 2327, 519, 5688, 1275, 540, 538, 519, 6389, 2073, 585, 1142, 13179, 972, 616, 1079, 3681, 281, 2901, 543, 1287, 24818, 327, 19031, 285, 271, 267, 799, 4229, 1535, 19031, 285, 271, 267, 610, 543, 1287, 24818, 327, 19031, 666, 581, 2901, 2318, 610, 2942, 267, 799, 4229, 1535, 19031, 815, 476, 271, 269, 1452, 2175, 616, 1634, 607, 519, 918, 7795, 333, 6874, 27462, 2175, 630, 293, 2280, 7815, 267, 476, 2735, 279, 282, 15168, 331, 1299, 918, 9445, 267, 476, 1960, 275, 1916, 5978, 1292, 1267, 568, 513, 2241, 8174, 566, 540, 513, 2539, 3808, 593, 519, 6617, 14345, 269, 901, 3808, 3587, 512, 7660, 607, 519, 14345, 3852, 374, 4679, 630, 288, 6277, 2714, 1299, 3223, 16980, 267, 476, 2735, 280, 321, 264, 543, 568, 4061, 3730, 538, 3871, 1141, 513, 1804, 14345, 568, 14909, 267, 585, 3236, 267, 538, 2665, 1141, 649, 616, 5461, 538, 2810, 519, 2450, 540, 519, 16935, 540, 16007, 540, 519, 6378, 2798, 540, 10081, 817, 1539, 894, 8849, 5121, 630, 298, 571, 3578, 1299, 631, 2946, 345, 731, 267, 476, 2735, 278, 282, 1280, 6135, 267, 476, 2735, 279, 282, 8493, 1676, 1299, 14216, 5090, 320, 267, 476, 2735, 279, 282, 3223, 16980, 1299, 2806, 321, 2714, 267, 476, 2735, 279, 1916, 5978, 2079, 909, 547, 543, 1519, 3830, 476, 275, 269, 272, 1705, 711, 4096, 593, 519, 13429, 678, 815, 533, 543, 568, 4570, 849, 585, 519, 2665, 1141, 533, 285, 301, 630, 6518, 10522, 678, 2999, 533, 1040, 634, 8174, 566, 540, 4834, 476, 275, 269, 274, 543, 476, 276, 269, 272, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 476, 272, 269, 273, 589, 692, 263, 274, 264, 476, 272, 589, 692, 263, 275, 264, 476, 271, 269, 276, 589, 692, 3519, 1061, 5999, 2433, 7042, 23382, 1588, 540, 27856, 454, 11947, 962, 1752, 532, 4530, 10022, 1341, 7726, 7813, 910, 17252, 4953, 476, 1708, 271, 692, 11795, 22187, 5426, 1384, 333, 3160, 27856, 616, 1101, 4448, 538, 3126, 543, 1287, 4448, 538, 6252, 269, 1548, 568, 519, 5223, 540, 519, 5021, 547, 519, 5934, 4187, 692, 263, 272, 264, 562, 692, 263, 273, 264, 4399, 2765, 346, 272, 2410, 346, 333, 8703, 273, 32556, 263, 274, 264, 562, 273, 692, 263, 275, 264, 4399, 2765, 346, 272, 2410, 333, 10592, 3519, 1061, 5999, 2433, 7042, 23382, 1588, 540, 27856, 454, 11947, 962, 1752, 532, 4530, 10022, 1341, 7726, 7813, 910, 17252, 4953, 476, 1708, 271, 692, 11795, 22187, 5426, 1384, 1103, 519, 4137, 267, 1699, 998, 519, 476, 274, 3852, 358, 19919, 568, 476, 271, 269, 279, 18041, 699, 267, 1287, 1761, 6749, 998, 476, 275, 3852, 358, 19919, 568, 692, 263, 272, 264, 476, 280, 269, 277, 966, 692, 263, 273, 264, 476, 273, 269, 277, 966, 692, 263, 274, 264, 476, 275, 269, 279, 966, 692, 263, 275, 264, 476, 272, 269, 273, 966, 692, 3519, 1061, 5999, 2433, 7042, 23382, 1588, 540, 27856, 0, 258, 11272, 2361, 1644, 547, 10647, 2326, 5627, 5279, 5627, 13570, 692, 1103, 1250, 6323, 1362, 649, 941, 7421, 513, 9183, 1141, 513, 5279, 814, 1044, 5116, 3330, 519, 13570, 540, 513, 10647, 1570, 899, 713, 1384, 1432, 1250, 4116, 1705, 729, 547, 8263, 513, 21714, 2627, 538, 519, 10647, 3148, 267, 543, 513, 5279, 1269, 343, 259, 547, 581, 1459, 538, 602, 3148, 630, 531, 784, 609, 519, 2907, 1790, 6974, 1269, 266, 336, 259, 5279, 1070, 543, 1287, 4019, 12821, 1380, 781, 1876, 269, 1261, 5143, 721, 602, 519, 3167, 2361, 3330, 513, 10647, 5420, 1590, 2141, 581, 1269, 271, 8961, 543, 3976, 2687, 547, 12821, 1380, 781, 1876, 649, 1205, 602, 1269, 343, 15871, 336, 10608, 4935, 513, 2942, 5279, 540, 9588, 1269, 336, 259, 10953, 593, 519, 6821, 540, 519, 13570, 543, 513, 5279, 1269, 268, 343, 284, 266, 336, 259, 10953, 593, 519, 9018, 2627, 540, 519, 18364, 630, 2421, 5726, 540, 5279, 1040, 4935, 519, 3803, 6516, 3587, 899, 1384, 7069, 4116, 1185, 7152, 519, 1249, 602, 519, 3167, 2361, 568, 2141, 1269, 271, 259, 3330, 513, 18364, 676, 1210, 12821, 1380, 781, 1876, 607, 5205, 1384, 7069, 10539, 568, 602, 538, 602, 9183, 630, 514, 3239, 476, 274, 1070, 1100, 5279, 729, 1459, 538, 519, 10647, 1560, 267, 865, 875, 1223, 649, 2489, 1125, 602, 1267, 286, 1403, 649, 2119, 3257, 519, 1482, 609, 713, 9183, 630, 514, 3239, 476, 272, 1070, 1269, 304, 3709, 1231, 728, 590, 348, 1422, 928, 336, 476, 271, 259, 865, 649, 3112, 3589, 519, 3167, 2361, 269, 1924, 1250, 2243, 568, 267, 875, 798, 596, 979, 827, 17782, 519, 3167, 2361, 538, 713, 2013, 2496, 1892, 4635, 12821, 1380, 781, 1876, 547, 2491, 3239, 476, 274, 1522, 581, 2352, 269, 1717, 267, 585, 606, 11466, 1533, 267, 519, 3167, 2361, 538, 606, 18364, 568, 4642, 269, 901, 568, 1317, 267, 952, 972, 568, 3167, 2361, 267, 519, 1863, 10997, 3330, 519, 18364, 786, 1847, 269, 1358, 1847, 547, 519, 2627, 540, 519, 18364, 543, 1628, 909, 3167, 1761, 971, 602, 519, 1863, 10997, 1131, 1100, 3476, 1847, 269, 1290, 7757, 3057, 476, 2190, 267, 476, 1001, 279, 693, 476, 1240, 281, 4962, 692, 4131, 781, 2721, 513, 7008, 540, 21714, 7252, 630, 4944, 12742, 585, 16134, 2567, 513, 1507, 835, 267, 4478, 519, 13570, 3330, 519, 18364, 267, 543, 513, 2462, 835, 4478, 519, 18364, 780, 7712, 972, 568, 1100, 3167, 2361, 3330, 519, 18364, 543, 519, 1507, 12106, 568, 4628, 3330, 519, 18364, 267, 972, 4465, 1405, 581, 1022, 3167, 13441, 630, 528, 3167, 2361, 3515, 264, 8429, 998, 519, 1507, 12106, 780, 4002, 519, 824, 1688, 267, 2687, 547, 519, 12821, 1380, 1876, 267, 972, 568, 513, 13441, 630, 26104, 2361, 3515, 264, 8429, 998, 519, 2462, 12106, 1384, 7712, 972, 616, 1100, 3515, 8429, 998, 519, 1507, 12106, 267, 789, 1590, 22132, 689, 519, 5279, 630, 12737, 525, 952, 596, 786, 264, 4092, 12341, 3544, 519, 1507, 12106, 269, 634, 1152, 1747, 1141, 971, 5279, 1223, 21078, 568, 519, 9018, 2627, 540, 519, 18364, 630, 26238, 10997, 3112, 2291, 538, 519, 13557, 540, 519, 18364, 6393, 8170, 1576, 267, 689, 519, 13441, 4542, 1657, 267, 713, 5279, 1058, 581, 1341, 336, 267, 1775, 4318, 1421, 621, 1590, 581, 3160, 547, 519, 5279, 3330, 519, 13570, 269, 4595, 519, 2698, 5279, 593, 519, 18364, 729, 4642, 547, 1376, 609, 267, 519, 2942, 5279, 593, 519, 2627, 540, 519, 13570, 1590, 581, 910, 336, 780, 2171, 1223, 849, 9959, 602, 519, 5279, 593, 519, 2627, 540, 519, 13570, 568, 910, 336, 1759, 593, 519, 1249, 602, 519, 13441, 998, 519, 1507, 12106, 568, 4642, 281, 4642, 13441, 10522, 4642, 5279, 3330, 519, 1507, 12106, 267, 799, 10522, 602, 519, 1341, 336, 5279, 3330, 519, 13570, 814, 547, 581, 23545, 539, 676, 519, 5279, 593, 519, 2627, 540, 519, 13570, 267, 799, 2306, 621, 910, 336, 780, 1103, 5758, 267, 4352, 519, 2698, 5279, 538, 630, 528, 267, 811, 10502, 267, 593, 519, 2627, 540, 264, 519, 25801, 1560, 568, 4642, 267, 972, 568, 513, 1875, 25179, 267, 910, 336, 267, 5279, 593, 519, 2627, 540, 519, 13570, 3330, 519, 1560, 543, 972, 568, 513, 1875, 25179, 267, 1341, 336, 267, 5279, 593, 519, 9018, 2627, 540, 519, 18364, 269, 0, 258, 8249, 28562, 609, 281, 7136, 543, 2597, 692, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 1240, 2164, 692, 289, 5802, 11762, 3436, 25732, 543, 12719, 609, 4559, 3436, 7136, 543, 2597, 692, 2162, 9861, 20985, 910, 12729, 21474, 692, 7462, 6520, 476, 276, 547, 476, 1556, 20806, 3188, 5426, 692, 9288, 5501, 2042, 585, 3119, 6267, 547, 960, 593, 609, 1866, 780, 2162, 9861, 30985, 910, 12729, 21474, 692, 7462, 6520, 476, 276, 547, 476, 1556, 20806, 3188, 5426, 692, 9288, 5501, 2042, 585, 22679, 3931, 3119, 6267, 780, 2162, 9861, 22990, 1304, 910, 12729, 21474, 692, 7462, 6520, 476, 276, 547, 476, 1556, 20806, 3188, 5426, 692, 9288, 5501, 2042, 693, 3119, 1377, 602, 949, 2154, 6043, 780, 2162, 9861, 12754, 995, 910, 12729, 21474, 692, 7462, 6520, 476, 276, 547, 476, 1556, 20806, 3188, 5426, 692, 9288, 5501, 2042, 693, 3119, 1377, 602, 2154, 6297, 7156, 780, 2162, 1684, 1411, 12763, 5455, 2496, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 288, 3014, 585, 1079, 610, 811, 5716, 602, 3096, 513, 1702, 540, 7893, 2645, 269, 1975, 514, 519, 8095, 1676, 543, 2697, 799, 6009, 666, 581, 2944, 609, 519, 7893, 1907, 3254, 780, 2162, 623, 625, 692, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 294, 8681, 2742, 1336, 1200, 2650, 7059, 593, 519, 4336, 609, 1079, 12035, 543, 513, 10116, 540, 513, 2650, 269, 1924, 875, 5230, 729, 1142, 2650, 2496, 2162, 476, 1001, 271, 281, 589, 5729, 540, 15766, 725, 692, 7462, 6520, 476, 276, 547, 476, 1691, 692, 1607, 2376, 585, 3610, 5267, 2093, 585, 2238, 3710, 1472, 476, 1015, 543, 476, 1001, 271, 780, 2162, 11554, 609, 20550, 14795, 692, 7462, 6520, 476, 278, 547, 476, 1556, 692, 1607, 2376, 585, 3610, 5267, 2081, 538, 799, 17878, 666, 581, 513, 1390, 2796, 585, 7234, 6482, 780, 2162, 2107, 5190, 543, 19748, 976, 692, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 4002, 519, 3349, 972, 568, 513, 18061, 540, 24453, 543, 19790, 976, 602, 22179, 4010, 835, 11304, 269, 4635, 519, 1344, 267, 666, 596, 960, 856, 875, 1082, 19790, 976, 972, 616, 2496, 2162, 11352, 267, 11352, 2439, 7462, 6520, 476, 276, 547, 476, 1556, 20806, 3188, 5426, 692, 4692, 596, 1747, 891, 9424, 538, 1931, 689, 10545, 547, 4102, 2496, 2162, 12763, 585, 12763, 692, 7462, 6520, 476, 276, 547, 476, 1556, 692, 1607, 2376, 267, 2854, 585, 1053, 267, 5654, 693, 875, 930, 7893, 4559, 543, 3457, 941, 2919, 780, 7462, 6520, 476, 1556, 547, 476, 1691, 20806, 3188, 5426, 692, 4692, 596, 7584, 891, 5036, 540, 9424, 538, 1931, 267, 689, 10545, 547, 4102, 286, 2052, 596, 1683, 20310, 2963, 585, 707, 31213, 2496, 2162, 1548, 781, 3733, 13379, 2496, 7462, 6520, 476, 278, 547, 476, 1556, 10374, 20806, 3188, 5426, 692, 2467, 616, 2185, 3160, 12035, 593, 835, 2427, 540, 519, 4336, 543, 606, 11945, 593, 519, 824, 2427, 269, 1548, 666, 596, 2161, 602, 568, 3020, 827, 519, 11945, 543, 519, 12035, 689, 519, 4605, 2496, 2162, 1284, 662, 547, 3619, 692, 7462, 6520, 476, 276, 547, 476, 1556, 692, 1607, 2376, 585, 3610, 22281, 338, 519, 1686, 540, 6482, 267, 8716, 621, 547, 581, 1031, 607, 513, 5614, 4604, 585, 3444, 268, 22793, 2534, 780, 2162, 14559, 12763, 692, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 1692, 666, 596, 946, 1175, 835, 20604, 547, 1265, 856, 799, 4216, 3568, 519, 14402, 4557, 11113, 856, 540, 519, 4557, 10833, 2496, 2162, 2353, 538, 513, 808, 18443, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 20806, 3188, 5426, 692, 7069, 7403, 723, 3893, 782, 795, 14217, 909, 256, 4210, 777, 873, 1472, 543, 1294, 952, 596, 666, 1265, 513, 4999, 1141, 1169, 6482, 568, 4570, 780, 2162, 1284, 662, 532, 22500, 692, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 4692, 596, 946, 713, 1344, 547, 7447, 875, 1454, 519, 1114, 4829, 25926, 9260, 538, 737, 3342, 543, 6550, 2496, 2162, 4826, 17745, 976, 692, 7462, 6520, 476, 278, 547, 476, 1556, 20806, 3188, 5426, 692, 4322, 1216, 17745, 976, 723, 1044, 9411, 883, 513, 6735, 269, 2422, 519, 1344, 547, 960, 856, 519, 1297, 540, 2798, 1142, 835, 729, 13752, 269, 0, 258, 4569, 692, 263, 2537, 343, 1341, 962, 7565, 276, 1341, 476, 1704, 345, 6661, 630, 313, 311, 476, 6246, 264, 2641, 692, 272, 269, 26461, 491, 476, 272, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 10436, 454, 272, 269, 29313, 5308, 10485, 25770, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 531, 2865, 2944, 609, 10789, 1862, 15276, 256, 476, 273, 476, 274, 343, 1107, 476, 277, 263, 273, 343, 1107, 476, 271, 269, 271, 4649, 264, 815, 476, 1015, 343, 1341, 476, 271, 269, 276, 1428, 594, 1810, 1405, 917, 1018, 1616, 855, 14322, 707, 6061, 585, 1535, 1862, 476, 2537, 343, 268, 1321, 343, 268, 269, 3451, 284, 476, 1015, 343, 1341, 476, 271, 269, 276, 1428, 476, 1556, 343, 268, 269, 3451, 284, 476, 1015, 343, 1341, 476, 271, 269, 276, 1428, 1535, 284, 476, 271, 269, 279, 3393, 1411, 991, 547, 12172, 707, 2022, 269, 1772, 602, 476, 2537, 343, 610, 692, 24216, 676, 4223, 515, 342, 593, 4864, 476, 1626, 267, 476, 1220, 278, 454, 273, 269, 12693, 4569, 692, 296, 666, 1405, 585, 519, 1272, 540, 803, 4194, 713, 256, 476, 277, 343, 317, 273, 268, 2537, 343, 266, 1428, 284, 271, 476, 277, 343, 317, 273, 268, 2537, 343, 266, 1428, 815, 630, 320, 1535, 1341, 536, 264, 630, 322, 1535, 1341, 546, 264, 25341, 513, 524, 815, 476, 277, 630, 272, 264, 513, 546, 1341, 536, 524, 815, 910, 2537, 630, 273, 264, 536, 546, 815, 476, 1428, 630, 274, 264, 1411, 1223, 2328, 1524, 782, 7399, 585, 513, 543, 524, 630, 292, 336, 269, 476, 272, 264, 543, 782, 1502, 756, 559, 2572, 585, 536, 543, 546, 692, 24216, 676, 9995, 571, 593, 2904, 476, 2190, 267, 476, 1220, 278, 454, 274, 269, 12693, 2598, 4740, 4569, 692, 8923, 948, 609, 713, 1966, 269, 8729, 513, 270, 8058, 602, 585, 1022, 1483, 1297, 1535, 267, 952, 1535, 285, 272, 1287, 1923, 343, 317, 275, 347, 284, 283, 1923, 2537, 343, 317, 275, 1341, 476, 279, 343, 317, 273, 1341, 476, 275, 343, 347, 536, 270, 8058, 602, 585, 1022, 1483, 1297, 1535, 267, 952, 1535, 285, 272, 1287, 1923, 2537, 343, 317, 275, 1341, 476, 279, 343, 317, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2368, 14981, 267, 971, 607, 1768, 13205, 543, 554, 2432, 267, 616, 6010, 601, 1512, 547, 723, 513, 1164, 10352, 5397, 543, 949, 581, 811, 20916, 547, 29677, 543, 4323, 1507, 2831, 899, 12475, 334, 2478, 563, 4913, 267, 1256, 5243, 609, 513, 1970, 10352, 5397, 949, 1869, 581, 8049, 827, 513, 12475, 18857, 543, 2119, 547, 1404, 609, 610, 8495, 621, 563, 30821, 5411, 1590, 5702, 27459, 1047, 741, 5243, 1472, 741, 12475, 18857, 547, 2061, 1761, 2800, 563, 291, 690, 543, 32202, 18857, 19983, 454, 291, 690, 543, 32202, 18857, 10263, 454, 291, 9233, 543, 12475, 334, 2478, 666, 723, 513, 3099, 540, 4205, 267, 8151, 689, 12560, 30398, 547, 10728, 2623, 269, 898, 568, 1898, 547, 1174, 519, 2623, 540, 1312, 2831, 547, 2061, 1022, 2800, 547, 2901, 4620, 563, 291, 9233, 616, 2067, 11975, 543, 949, 2070, 513, 12475, 18857, 607, 10352, 269, 1358, 949, 3801, 547, 11116, 267, 21199, 267, 610, 1256, 15179, 519, 12475, 18857, 563, 4002, 519, 824, 1688, 267, 930, 5243, 949, 1397, 7279, 2509, 519, 12475, 18857, 267, 2879, 858, 532, 543, 561, 10107, 621, 1510, 6029, 1022, 4191, 540, 14699, 563, 4002, 519, 824, 1688, 267, 12475, 334, 2478, 616, 3622, 12809, 2831, 602, 18956, 883, 741, 7387, 950, 4743, 12219, 269, 1717, 267, 789, 949, 849, 1831, 10728, 952, 789, 1745, 8970, 1229, 610, 1008, 12097, 563, 21841, 341, 2358, 13928, 543, 32202, 18857, 19983, 454, 21841, 341, 2358, 1022, 5872, 1063, 5243, 543, 12475, 334, 2478, 568, 2629, 547, 2327, 1312, 2831, 685, 3106, 269, 3371, 616, 930, 4388, 585, 5883, 2915, 543, 12475, 18857, 5872, 912, 268, 5901, 519, 12475, 18857, 538, 513, 5150, 26456, 602, 519, 2915, 3112, 1569, 563, 268, 1403, 519, 12475, 18857, 568, 3544, 922, 26456, 267, 1832, 519, 2915, 593, 513, 682, 1662, 543, 896, 2673, 15569, 563, 268, 17546, 519, 2915, 547, 581, 9543, 1472, 519, 12475, 18857, 543, 8007, 1434, 2623, 563, 268, 1403, 519, 2915, 2982, 14699, 2509, 519, 12475, 18857, 267, 5094, 873, 5612, 563, 1103, 3932, 267, 5243, 543, 12475, 334, 2478, 666, 30598, 25678, 267, 855, 621, 568, 1898, 547, 1174, 543, 6895, 741, 2623, 547, 2061, 1022, 2800, 269, 11408, 4225, 519, 3106, 540, 1312, 10130, 543, 1491, 2556, 15416, 547, 2327, 513, 2922, 1604, 585, 782, 563, 10890, 24093, 585, 32202, 18857, 454, 28808, 20535, 13928, 5253, 454, 307, 677, 334, 2478, 616, 24549, 2803, 4171, 2732, 5161, 540, 1585, 2371, 267, 5613, 267, 543, 5388, 269, 3117, 11167, 2915, 1426, 267, 799, 568, 1164, 538, 3940, 543, 9600, 267, 666, 2014, 9667, 2042, 585, 12475, 334, 2478, 563, 763, 1164, 3940, 1543, 538, 2915, 1426, 666, 1291, 547, 8459, 543, 6797, 3441, 538, 12475, 334, 2478, 269, 5047, 267, 2915, 1426, 568, 1419, 25167, 609, 8324, 543, 6886, 5667, 340, 3386, 585, 12475, 334, 2478, 543, 666, 2014, 17219, 563, 1103, 329, 3753, 689, 13928, 645, 2572, 454, 291, 9233, 723, 606, 15859, 547, 6968, 543, 29677, 1507, 2831, 267, 1519, 12475, 334, 2478, 269, 20070, 3753, 689, 2915, 17486, 666, 581, 4049, 543, 1256, 14603, 585, 12475, 334, 2478, 269, 13928, 17486, 666, 1291, 547, 5563, 267, 14047, 675, 16398, 267, 543, 18655, 563, 763, 4551, 538, 513, 2915, 779, 5023, 666, 2014, 25687, 538, 12475, 334, 2478, 267, 799, 666, 581, 1272, 18446, 269, 898, 568, 1898, 547, 1832, 12475, 334, 2478, 2476, 689, 5243, 547, 2061, 971, 7063, 563, 1103, 3932, 267, 621, 568, 711, 5227, 547, 1577, 5243, 543, 12475, 334, 2478, 2170, 11884, 607, 621, 666, 10460, 1072, 4220, 585, 519, 12475, 18857, 269, 898, 568, 519, 5539, 540, 519, 4620, 8227, 547, 2327, 519, 3106, 543, 1134, 5630, 540, 741, 10130, 563, 7093, 28124, 17268, 689, 14856, 32202, 18857, 454, 32086, 519, 13928, 454, 32086, 519, 2915, 568, 519, 1101, 1900, 538, 7303, 621, 689, 4189, 519, 12475, 18857, 269, 634, 2915, 1058, 581, 6026, 547, 23491, 2596, 12981, 971, 607, 968, 560, 599, 892, 543, 968, 548, 1511, 621, 1848, 901, 786, 948, 519, 8227, 547, 1852, 519, 2915, 779, 2623, 1472, 519, 12475, 18857, 563, 763, 2915, 1058, 581, 8036, 547, 1174, 602, 519, 12475, 18857, 568, 711, 513, 11442, 610, 10352, 269, 901, 666, 581, 2944, 676, 10962, 519, 2915, 547, 519, 12475, 18857, 538, 513, 6417, 1604, 543, 14785, 519, 2915, 585, 1434, 2623, 1472, 519, 12475, 18857, 563, 20225, 541, 908, 13928, 543, 32202, 18857, 454, 20225, 541, 908, 519, 2915, 543, 12475, 18857, 568, 1776, 2565, 1900, 538, 7303, 519, 2915, 689, 4189, 519, 12475, 18857, 269, 634, 12475, 18857, 1058, 581, 6854, 538, 513, 5150, 26456, 602, 519, 2915, 3112, 1569, 563, 2252, 519, 12475, 18857, 568, 4847, 547, 887, 600, 1863, 267, 621, 1058, 2141, 581, 24892, 269, 634, 2915, 1058, 581, 6854, 593, 513, 682, 1662, 610, 538, 513, 5094, 1858, 950, 519, 12475, 18857, 568, 856, 540, 922, 26456, 563, 3528, 2866, 519, 2915, 543, 19459, 621, 689, 519, 12475, 18857, 267, 5411, 666, 2061, 621, 689, 4189, 621, 269, 898, 568, 1271, 547, 3314, 602, 5243, 616, 2067, 11975, 543, 949, 2070, 519, 12475, 18857, 607, 10352, 269, 4475, 267, 621, 568, 519, 8227, 779, 5539, 547, 2327, 519, 3106, 540, 1312, 519, 2915, 543, 519, 12475, 18857, 269, 0, 295, 2292, 568, 9833, 607, 513, 10516, 689, 2470, 267, 2348, 1896, 1072, 2640, 269, 898, 568, 1164, 538, 14434, 543, 2337, 16398, 12115, 5488, 563, 295, 2292, 267, 593, 519, 824, 1688, 267, 814, 513, 1906, 2942, 2427, 2360, 602, 666, 581, 1360, 13542, 727, 952, 711, 10057, 538, 519, 1318, 9570, 610, 538, 519, 1318, 1259, 269, 1306, 513, 1267, 267, 9932, 1058, 2141, 581, 10057, 538, 20208, 267, 609, 1152, 513, 1507, 2179, 5189, 883, 938, 2732, 563, 277, 5871, 17121, 12186, 540, 26006, 10778, 268, 15636, 592, 1143, 538, 1453, 2433, 1879, 513, 4816, 568, 6534, 547, 15636, 592, 1143, 24032, 267, 646, 610, 1352, 10953, 10867, 7762, 592, 1143, 269, 1452, 616, 19228, 267, 1166, 641, 6853, 16757, 5322, 267, 17418, 547, 3180, 741, 2212, 267, 543, 8467, 616, 782, 2589, 540, 10867, 7762, 592, 1143, 563, 273, 269, 5463, 599, 540, 519, 4522, 2433, 26006, 2882, 4006, 267, 799, 20555, 519, 14471, 602, 2661, 538, 707, 14779, 269, 898, 3587, 12758, 547, 707, 4522, 952, 596, 1810, 1406, 27125, 621, 5265, 1310, 596, 3548, 9932, 563, 274, 269, 10552, 3794, 26651, 20946, 3657, 14780, 2213, 2433, 26006, 6411, 607, 606, 4550, 26817, 12185, 8665, 950, 10057, 538, 513, 11658, 1507, 2179, 269, 898, 1147, 2471, 519, 1973, 4006, 1377, 952, 3144, 538, 513, 1164, 7274, 269, 26006, 3568, 513, 1164, 1377, 540, 4006, 602, 786, 6038, 2333, 540, 1973, 7280, 563, 275, 269, 30205, 338, 13379, 28150, 2433, 26006, 568, 1419, 3144, 609, 1216, 547, 6336, 2597, 610, 568, 1031, 607, 513, 12990, 585, 4006, 269, 2290, 29537, 540, 9932, 3568, 827, 476, 5038, 8477, 269, 1924, 267, 10438, 9932, 538, 513, 1804, 7274, 666, 1039, 547, 519, 17811, 6981, 267, 607, 513, 1267, 949, 2333, 2597, 563, 276, 269, 2904, 20531, 30665, 2433, 4658, 945, 616, 13027, 547, 14947, 9274, 543, 24032, 1419, 1397, 513, 5114, 547, 9932, 1932, 269, 901, 568, 1360, 1455, 607, 9932, 568, 9268, 689, 891, 14947, 9274, 269, 898, 2882, 18784, 14947, 543, 838, 648, 5536, 602, 666, 2014, 13027, 6547, 563, 277, 269, 5253, 7313, 2581, 532, 2904, 12769, 584, 2433, 1403, 9932, 568, 6986, 543, 711, 9268, 267, 1287, 519, 17973, 666, 8853, 538, 621, 269, 1975, 648, 8108, 4551, 538, 519, 9932, 666, 2014, 14711, 543, 21422, 6547, 269, 14717, 770, 543, 9190, 10125, 3395, 538, 519, 9932, 666, 3006, 1267, 538, 9190, 5114, 519, 8937, 602, 1522, 2049, 1426, 15464, 543, 11591, 21539, 320, 563, 289, 525, 728, 519, 1657, 267, 1739, 2427, 1198, 949, 2049, 10778, 1700, 285, 22349, 8676, 2589, 971, 607, 765, 22689, 563, 1700, 285, 301, 13835, 568, 513, 4743, 540, 15353, 563, 1700, 285, 25324, 17508, 602, 568, 7050, 563, 1700, 285, 29587, 20054, 602, 5749, 1406, 2834, 630, 1551, 20263, 5362, 994, 10144, 849, 2307, 912, 268, 1548, 568, 3213, 304, 1015, 286, 4208, 1281, 707, 1560, 991, 621, 286, 4112, 7134, 1923, 14174, 304, 454, 268, 6904, 715, 7491, 1058, 649, 3548, 543, 1946, 888, 268, 1548, 616, 519, 1655, 11326, 888, 268, 1548, 4829, 666, 594, 3548, 593, 519, 23017, 4212, 2732, 888, 268, 6496, 4189, 12129, 1354, 5127, 2014, 2597, 2744, 888, 307, 27434, 11905, 269, 7490, 1224, 519, 2598, 25068, 1101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 262, 4297, 2020, 14851, 1535, 314, 271, 316, 13843, 1376, 314, 271, 316, 543, 1535, 314, 271, 316, 2999, 1439, 314, 271, 14158, 453, 16596, 6936, 454, 14851, 1535, 314, 271, 316, 2652, 1439, 314, 271, 316, 543, 1535, 314, 272, 316, 13843, 1376, 314, 272, 316, 543, 1535, 314, 272, 316, 2999, 1439, 314, 272, 14158, 453, 16596, 6936, 454, 28432, 912, 453, 16596, 8771, 0, 258, 25913, 25622, 13601, 16088, 454, 258, 272, 18998, 10254, 358, 17958, 7090, 7511, 10946, 3890, 25520, 2381, 3890, 8147, 21928, 23911, 19404, 490, 21211, 31033, 4970, 366, 15159, 23746, 23284, 30006, 498, 20001, 481, 7511, 8147, 418, 490, 487, 419, 483, 356, 2444, 2862, 29219, 26406, 496, 8147, 4970, 378, 28032, 489, 13741, 8147, 705, 320, 8147, 629, 659, 8147, 31006, 27962, 20992, 13741, 8147, 31006, 16533, 493, 20992, 19487, 2676, 258, 22287, 367, 30006, 498, 20001, 481, 7511, 15159, 30006, 493, 22047, 21211, 31033, 7511, 27962, 16533, 493, 8147, 417, 28187, 31563, 25051, 497, 31176, 491, 12916, 491, 419, 377, 362, 21211, 31033, 26266, 366, 14756, 493, 30006, 498, 20001, 481, 24731, 27962, 16533, 493, 8147, 10254, 503, 21251, 417, 379, 483, 19540, 491, 13213, 505, 27310, 31284, 13601, 12916, 491, 7511, 30006, 498, 20001, 481, 454, 258, 19867, 478, 23284, 9463, 359, 421, 506, 478, 28884, 30006, 498, 20001, 481, 31006, 27962, 31006, 16533, 493, 7511, 10429, 361, 10429, 365, 31176, 491, 419, 376, 478, 16533, 365, 15159, 10533, 368, 14748, 12255, 14756, 482, 7511, 10429, 361, 10429, 365, 31176, 491, 419, 376, 478, 454, 5035, 8827, 912, 825, 1219, 13074, 13349, 7093, 25785, 4311, 267, 1193, 338, 2187, 1038, 952, 711, 1193, 338, 281, 2132, 834, 4840, 1038, 521, 272, 815, 1295, 19304, 338, 994, 1038, 521, 273, 815, 3193, 19304, 338, 994, 1038, 585, 1775, 267, 6221, 538, 26246, 4433, 272, 2187, 2018, 952, 6221, 11203, 521, 273, 5157, 14158, 3546, 2132, 521, 273, 11468, 328, 2639, 1038, 2132, 521, 272, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 7456, 784, 652, 13349, 7093, 25785, 8443, 262, 329, 822, 330, 12887, 329, 659, 329, 330, 330, 12887, 329, 659, 724, 327, 329, 11172, 4917, 8931, 258, 25913, 25622, 11590, 490, 16088, 8931, 258, 10254, 358, 17958, 7090, 7511, 32502, 16583, 30936, 8147, 418, 488, 488, 1598, 419, 506, 489, 29873, 4289, 419, 482, 370, 12571, 492, 418, 488, 488, 27447, 24662, 419, 506, 489, 29873, 11590, 490, 14756, 368, 12255, 14756, 482, 8147, 26266, 355, 28098, 421, 377, 494, 419, 374, 369, 12571, 495, 31308, 489, 419, 376, 358, 8147, 419, 482, 370, 12571, 492, 418, 488, 488, 30006, 493, 421, 350, 373, 10254, 358, 17958, 421, 505, 484, 12571, 486, 31308, 375, 19404, 491, 8147, 454, 258, 18263, 489, 12571, 492, 421, 479, 491, 31308, 484, 4289, 18809, 19867, 378, 28996, 30317, 27381, 510, 421, 499, 379, 18021, 355, 27962, 30678, 272, 18263, 489, 31176, 491, 7511, 16533, 365, 15159, 10429, 361, 10429, 365, 31176, 491, 419, 376, 478, 454, 5035, 8827, 912, 825, 1219, 13074, 13349, 7093, 25785, 4311, 267, 1193, 338, 281, 5903, 314, 1598, 8079, 9847, 1193, 912, 1038, 952, 711, 1193, 338, 281, 8873, 834, 4840, 1038, 521, 338, 815, 1592, 9852, 777, 263, 3553, 267, 32502, 28949, 1598, 338, 21875, 1038, 759, 815, 1412, 7055, 1038, 585, 1775, 267, 14403, 538, 26246, 263, 1087, 2187, 2018, 1535, 815, 1592, 263, 14403, 994, 2018, 952, 7003, 3287, 264, 3436, 476, 272, 912, 3546, 2736, 454, 2018, 759, 815, 759, 1341, 1535, 314, 271, 2639, 1038, 2132, 759, 28329, 0, 1029, 10461, 1029, 815, 1412, 298, 9926, 601, 7055, 5814, 556, 692, 258, 12803, 11243, 815, 3403, 2891, 19152, 3758, 2619, 281, 5602, 12803, 11243, 815, 834, 270, 5825, 619, 270, 298, 9926, 601, 22230, 665, 3701, 270, 308, 297, 18025, 777, 30711, 16384, 328, 14121, 516, 23410, 24089, 17902, 4840, 325, 815, 1930, 31526, 11243, 267, 1412, 337, 5073, 11415, 815, 535, 18667, 4590, 325, 25379, 10797, 258, 1265, 31120, 454, 258, 13429, 281, 693, 2547, 476, 273, 3854, 5022, 476, 610, 476, 272, 3854, 543, 476, 272, 1297, 454, 258, 1100, 3043, 5624, 454, 258, 1422, 306, 1875, 3369, 2572, 10628, 267, 1422, 338, 16543, 10628, 267, 1496, 288, 19053, 316, 910, 3854, 267, 1496, 271, 268, 280, 316, 25948, 454, 258, 1422, 342, 21229, 534, 10179, 545, 454, 6312, 1181, 815, 678, 262, 315, 338, 263, 286, 303, 283, 13741, 285, 315, 342, 265, 314, 288, 19053, 316, 315, 306, 265, 314, 288, 19053, 271, 268, 280, 316, 315, 342, 265, 9385, 338, 28847, 719, 17572, 815, 1930, 3488, 629, 12934, 9911, 273, 17902, 3299, 1412, 342, 17210, 28744, 30415, 994, 28744, 263, 516, 26098, 718, 263, 6312, 1181, 267, 5569, 4917, 629, 12934, 9911, 815, 29129, 1721, 6474, 538, 556, 26098, 3438, 263, 6312, 1181, 267, 5569, 2187, 825, 521, 815, 6474, 3052, 4981, 3488, 13741, 262, 1040, 11034, 4590, 825, 552, 815, 6474, 3052, 4981, 3488, 13741, 262, 1040, 754, 4590, 825, 1948, 2745, 30415, 314, 338, 281, 324, 7481, 825, 952, 5569, 314, 338, 281, 324, 316, 711, 538, 31120, 912, 1038, 31120, 6910, 30415, 314, 338, 281, 324, 20285, 629, 12934, 9911, 31699, 4590, 28744, 263, 629, 12934, 9911, 994, 1721, 6221, 538, 31120, 912, 825, 856, 17572, 22182, 263, 14403, 994, 825, 856, 17572, 22182, 28361, 340, 1708, 279, 10807, 1948, 7809, 2132, 454, 719, 17572, 25379, 3890, 0, 3698, 23030, 21698, 16868, 2187, 825, 2132, 1496, 337, 267, 314, 25662, 316, 6540, 3698, 7696, 3847, 20172, 267, 2908, 289, 13361, 2187, 825, 512, 284, 10174, 21014, 263, 272, 2020, 825, 952, 7003, 6025, 264, 285, 272, 912, 1038, 3597, 27044, 263, 272, 267, 314, 2908, 289, 13361, 25722, 267, 314, 14963, 2020, 825, 3116, 912, 1038, 3597, 27044, 263, 272, 267, 314, 2908, 289, 13361, 267, 314, 25662, 14963, 2020, 825, 2132, 3597, 692, 3698, 7696, 14738, 20172, 267, 2908, 289, 13361, 2187, 825, 512, 284, 3597, 21014, 263, 273, 2020, 825, 952, 7003, 6025, 264, 285, 272, 912, 1038, 3597, 27044, 263, 273, 267, 314, 2908, 289, 13361, 267, 314, 3910, 339, 7481, 825, 3116, 912, 1038, 3597, 27044, 263, 273, 267, 314, 2908, 289, 13361, 267, 314, 25662, 316, 7481, 825, 2132, 3597, 692, 3698, 1205, 305, 2393, 11749, 20172, 2187, 825, 2132, 3597, 263, 271, 2020, 3698, 1305, 305, 2393, 11749, 20172, 267, 2908, 11749, 2187, 825, 3597, 314, 271, 24557, 2908, 11749, 454, 3698, 1205, 3847, 18876, 20172, 2187, 825, 2132, 3597, 314, 272, 2639, 3698, 1205, 14738, 18876, 20172, 2187, 825, 2132, 3597, 1496, 273, 6540, 825, 678, 815, 23030, 21698, 263, 274, 994, 825, 1820, 7696, 3847, 16868, 267, 275, 264, 0, 5814, 15259, 454, 258, 5814, 556, 454, 3698, 556, 4067, 6958, 3796, 10031, 825, 1948, 263, 272, 264, 1205, 3758, 4408, 689, 513, 17835, 454, 825, 3758, 8217, 815, 15259, 269, 4289, 323, 597, 16868, 257, 291, 24097, 16158, 28319, 315, 1440, 1678, 5602, 825, 10710, 24786, 815, 15259, 10947, 322, 23424, 3890, 1948, 12033, 519, 1699, 15682, 2619, 3097, 825, 1948, 4219, 519, 2324, 15682, 547, 519, 15682, 649, 991, 3097, 825, 15259, 26716, 323, 597, 16868, 257, 291, 24097, 16158, 28319, 315, 1440, 1678, 5602, 825, 1948, 263, 273, 264, 585, 1142, 3758, 267, 556, 4067, 32197, 454, 825, 585, 3758, 12173, 538, 3758, 8217, 912, 1038, 1948, 10520, 17218, 307, 629, 815, 544, 752, 564, 4920, 18692, 1038, 15259, 269, 1066, 877, 31526, 12173, 267, 3758, 12173, 6745, 4920, 17218, 20719, 867, 263, 577, 2567, 7183, 585, 669, 538, 834, 23713, 24833, 277, 4281, 280, 257, 348, 4917, 1038, 1948, 898, 666, 946, 556, 16553, 3488, 314, 271, 268, 280, 27994, 3299, 1412, 3299, 3758, 12173, 264, 3079, 540, 14377, 454, 825, 15259, 26716, 323, 597, 4433, 8491, 24786, 994, 1066, 877, 6958, 3796, 4590, 8931, 0, 5228, 2835, 3559, 325, 3438, 1807, 1104, 3883, 306, 3559, 325, 296, 614, 1807, 454, 5035, 3883, 306, 3559, 325, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14857, 9248, 815, 11713, 1038, 1582, 14857, 18431, 815, 476, 271, 692, 825, 1219, 1205, 318, 1504, 318, 520, 4311, 267, 8161, 2187, 1038, 2132, 1582, 14857, 9248, 27709, 6540, 825, 1219, 16289, 318, 1504, 4311, 267, 1504, 2187, 1038, 1582, 14857, 9248, 6910, 263, 1504, 994, 1038, 1582, 14857, 18431, 6834, 476, 272, 692, 825, 1219, 1205, 28747, 4311, 2187, 1038, 2132, 1582, 14857, 18431, 692, 825, 1219, 12055, 1807, 4311, 2187, 1038, 2132, 3883, 306, 3559, 325, 296, 614, 1807, 4311, 994, 0, 12584, 9285, 8217, 815, 1496, 278, 267, 476, 276, 267, 476, 274, 267, 476, 273, 267, 476, 277, 267, 476, 279, 267, 476, 280, 267, 476, 272, 267, 476, 279, 6540, 3698, 8237, 9272, 24512, 2187, 825, 952, 7003, 9272, 24512, 264, 2999, 476, 273, 912, 1038, 2132, 3403, 24512, 454, 3097, 825, 8237, 318, 4812, 815, 7003, 9272, 24512, 264, 2260, 273, 454, 825, 2451, 8217, 815, 8237, 9272, 24512, 11468, 20889, 318, 4812, 8079, 3097, 825, 1318, 8217, 815, 8237, 9272, 24512, 314, 20889, 318, 4812, 281, 20285, 20889, 263, 12584, 9285, 8217, 994, 672, 7531, 3698, 19467, 263, 3847, 267, 1318, 17107, 825, 15044, 8217, 815, 11713, 825, 2451, 16229, 815, 476, 271, 454, 825, 1318, 16229, 815, 476, 271, 692, 825, 1247, 7003, 4433, 9285, 8217, 264, 2999, 630, 6352, 263, 3847, 264, 1341, 7003, 263, 2431, 264, 2567, 8528, 1038, 952, 2451, 314, 3847, 16229, 316, 2999, 1318, 314, 2431, 16229, 14158, 2018, 15044, 8217, 6910, 263, 3847, 314, 3847, 16229, 7481, 2018, 2451, 16229, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 15044, 8217, 6910, 263, 2431, 314, 2431, 16229, 7481, 2018, 1318, 16229, 6834, 476, 272, 692, 1038, 952, 7003, 263, 3847, 264, 2525, 3847, 16229, 912, 2018, 15044, 8217, 269, 2169, 754, 263, 2431, 314, 2431, 16229, 281, 7481, 2018, 2736, 1948, 811, 3608, 267, 1317, 952, 16083, 3085, 1405, 991, 547, 581, 11117, 454, 27030, 1038, 952, 7003, 263, 2431, 264, 2525, 2431, 16229, 912, 2018, 15044, 8217, 269, 2169, 754, 263, 3847, 314, 3847, 16229, 281, 20285, 825, 1820, 4433, 9285, 8217, 2020, 1067, 613, 8443, 272, 267, 274, 267, 275, 267, 278, 3910, 1496, 273, 267, 277, 267, 279, 267, 316, 9239, 4449 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3533, 543, 7561, 865, 602, 519, 13278, 2006, 814, 1100, 1966, 563, 268, 634, 2450, 540, 519, 556, 601, 281, 713, 8984, 568, 1018, 11225, 519, 5021, 2597, 602, 713, 4062, 759, 1235, 267, 602, 568, 547, 2161, 267, 519, 2597, 540, 519, 3165, 602, 666, 581, 535, 1639, 269, 1677, 3313, 799, 556, 601, 2450, 568, 1318, 585, 596, 267, 596, 1590, 917, 1018, 2010, 540, 3165, 596, 616, 2469, 547, 3165, 585, 267, 2436, 621, 779, 513, 6735, 610, 513, 15908, 563, 268, 634, 5223, 540, 519, 556, 601, 281, 713, 8984, 11225, 519, 3432, 543, 519, 7432, 4390, 540, 519, 556, 601, 950, 621, 568, 1373, 1031, 269, 901, 4183, 11225, 952, 519, 556, 601, 568, 12758, 610, 711, 950, 10068, 563, 4322, 616, 930, 540, 519, 1919, 602, 1058, 581, 2808, 950, 9140, 513, 10068, 556, 601, 269, 19594, 538, 2247, 602, 972, 616, 1082, 12478, 540, 556, 1564, 602, 2709, 1880, 4162, 267, 865, 621, 568, 2556, 547, 1382, 1360, 1134, 1354, 1818, 1022, 6718, 563, 15447, 519, 7271, 540, 519, 10068, 556, 1564, 454, 3080, 540, 519, 1655, 4388, 602, 666, 581, 2016, 547, 513, 19444, 538, 519, 1158, 540, 10068, 568, 602, 789, 1058, 917, 875, 519, 556, 1564, 960, 269, 901, 568, 1271, 1317, 713, 568, 519, 1034, 1271, 1907, 538, 713, 7328, 865, 602, 6616, 922, 5106, 2636, 596, 547, 3313, 950, 519, 556, 601, 568, 2324, 7157, 610, 711, 563, 1103, 1840, 547, 713, 267, 676, 6616, 875, 519, 1062, 1568, 267, 596, 666, 7816, 519, 556, 601, 950, 621, 568, 711, 2324, 610, 4991, 12758, 1282, 10068, 269, 634, 556, 601, 814, 519, 3483, 540, 10655, 543, 13936, 519, 10068, 1899, 538, 513, 16509, 267, 1210, 513, 1835, 1678, 267, 513, 20347, 1062, 267, 513, 8027, 16509, 267, 1851, 824, 1919, 563, 10376, 4062, 568, 1271, 543, 6297, 1353, 666, 948, 596, 3313, 1018, 568, 519, 1655, 1744, 574, 8457, 18343, 556, 601, 596, 666, 1265, 538, 519, 2344, 563, 293, 5109, 556, 601, 5826, 454, 2026, 5018, 1657, 267, 519, 10068, 556, 601, 568, 513, 1360, 1950, 7271, 602, 1590, 581, 7683, 15428, 267, 865, 607, 547, 2057, 519, 21324, 540, 1022, 4909, 4062, 538, 519, 1767, 7271, 269, 898, 568, 585, 713, 2601, 602, 891, 3457, 616, 2356, 9112, 540, 11259, 2326, 543, 14434, 563, 1607, 568, 1271, 547, 10018, 14809, 2042, 3361, 676, 16617, 610, 24277, 540, 26869, 269, 1879, 596, 979, 547, 4444, 513, 10068, 556, 601, 621, 568, 2556, 547, 1491, 713, 3815, 883, 2272, 267, 2094, 2348, 513, 4496, 556, 601, 602, 1281, 711, 16783, 609, 891, 4162, 1797, 602, 519, 4773, 616, 7683, 8697, 543, 5826, 568, 1360, 7294, 563, 4322, 616, 930, 540, 519, 1919, 596, 1590, 1832, 538, 2247, 547, 1205, 519, 1655, 1744, 574, 8457, 18343, 556, 601, 269, 1411, 1058, 849, 2015, 519, 1942, 540, 519, 556, 601, 596, 1616, 547, 4444, 543, 917, 4010, 1018, 1826, 540, 10068, 596, 1616, 547, 798, 269, 0, 21316, 295, 744, 14877, 6573, 296, 4696, 306, 590, 21283, 4041, 32530, 16739, 454, 13043, 10493, 328, 611, 12726, 5999, 1923, 5530, 454, 2252, 596, 616, 4358, 513, 4569, 10493, 328, 611, 693, 707, 1153, 267, 621, 666, 581, 5363, 547, 723, 930, 4808, 585, 519, 12204, 540, 2055, 547, 946, 269, 901, 3992, 3947, 596, 606, 7650, 540, 513, 4569, 10493, 328, 611, 543, 2488, 454, 12218, 476, 277, 4569, 10493, 328, 611, 12726, 14430, 267, 12726, 5999, 585, 454, 8340, 4147, 476, 277, 4569, 10493, 328, 611, 3732, 4574, 585, 10911, 12239, 9119, 10493, 328, 611, 11929, 476, 1001, 280, 563, 306, 21283, 4041, 32530, 16739, 910, 4779, 2114, 454, 2791, 616, 1934, 281, 5851, 3436, 10493, 328, 611, 5358, 3436, 2552, 3949, 3436, 27842, 3436, 9046, 540, 519, 13600, 3436, 22952, 3436, 2037, 2651, 618, 3436, 17834, 32209, 8274, 540, 6034, 832, 590, 21283, 4041, 32530, 16739, 630, 12812, 585, 2347, 3732, 994, 12218, 476, 275, 4569, 10493, 328, 611, 12726, 14430, 267, 12726, 5999, 585, 454, 8340, 4147, 476, 275, 4569, 10493, 328, 611, 3732, 4574, 585, 10911, 12239, 9119, 10493, 328, 611, 11929, 476, 1001, 280, 269, 4147, 476, 275, 4569, 10493, 328, 611, 12726, 14430, 267, 12726, 5999, 585, 4147, 476, 275, 13174, 910, 10911, 12239, 10493, 328, 6758, 10624, 454, 302, 9805, 328, 611, 6657, 14430, 1923, 661, 706, 326, 664, 7330, 454, 20797, 4574, 10493, 328, 611, 543, 824, 8013, 11400, 269, 661, 706, 326, 664, 269, 8298, 514, 270, 8802, 3563, 269, 7330, 282, 3427, 4569, 269, 6103, 476, 272, 282, 6103, 476, 273, 282, 6103, 476, 274, 282, 6103, 476, 275, 282, 6103, 476, 276, 282, 6103, 476, 277, 282, 6103, 476, 278, 282, 6103, 476, 279, 282, 6103, 476, 280, 282, 1215, 547, 10994, 4569, 10493, 328, 611, 2055, 910, 3487, 476, 272, 1215, 547, 10994, 4569, 10493, 328, 611, 2055, 910, 3487, 476, 273, 269, 6168, 269, 6168, 661, 706, 326, 664, 282, 13555, 721, 282, 3776, 24727, 282, 4518, 609, 721, 454, 303, 770, 10819, 1299, 10298, 1923, 4569, 10493, 328, 611, 454, 763, 476, 1001, 280, 4569, 10493, 328, 611, 786, 581, 4371, 593, 14349, 5181, 476, 2641, 560, 269, 1280, 14261, 267, 5225, 3643, 1934, 563, 13043, 338, 10493, 328, 611, 12726, 14430, 267, 11929, 11261, 267, 28924, 16086, 267, 631, 1442, 454, 13043, 10493, 328, 611, 910, 13773, 8242, 609, 519, 1114, 9119, 10493, 328, 611, 981, 7389, 267, 21038, 267, 3732, 4574, 267, 23769, 1449, 4574, 585, 1053, 540, 5049, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 563, 303, 770, 4574, 13478, 2217, 2055, 1107, 10493, 328, 6758, 454, 303, 770, 4574, 13478, 2217, 2055, 269, 18395, 269, 7726, 4574, 543, 10298, 540, 594, 2793, 302, 616, 7396, 2630, 269, 1677, 2070, 519, 4574, 4945, 593, 6402, 269, 9119, 269, 7726, 4574, 543, 10298, 540, 681, 19616, 267, 10493, 328, 6758, 269, 13067, 328, 645, 4725, 3873, 10418, 585, 3163, 4065, 570, 1092, 4659, 540, 27284, 3194, 454, 17220, 19556, 10493, 328, 611, 454, 3682, 21793, 269, 5678, 8747, 540, 2042, 616, 711, 2347, 269, 7490, 6494, 4143, 7300, 6119, 547, 519, 1357, 24490, 281, 1357, 24490, 287, 24982, 27984, 24810, 563, 13043, 10493, 328, 6758, 585, 16504, 543, 5664, 12140, 454, 27237, 292, 281, 15706, 3112, 14526, 538, 4569, 10493, 328, 6758, 269, 4841, 1590, 4866, 547, 513, 1153, 267, 8664, 267, 20576, 267, 610, 18954, 2319, 563, 16665, 19707, 585, 2979, 522, 9805, 328, 6758, 3732, 2055, 454, 3901, 3012, 673, 522, 9805, 328, 611, 3732, 2055, 4118, 522, 9805, 328, 611, 2259, 1449, 4118, 522, 9805, 328, 611, 2259, 2042, 16451, 2979, 522, 9805, 328, 611, 2055, 4118, 338, 522, 9805, 328, 611, 2055, 543, 4267, 4118, 338, 522, 9805, 328, 611, 2250, 4574, 3901, 24136, 522, 9805, 328, 611, 2055, 4118, 522, 9805, 328, 611, 2042, 543, 3435, 0, 763, 8390, 538, 9860, 540, 2068, 1522, 581, 1813, 547, 8390, 538, 2359, 531, 2853, 7550, 676, 1114, 11396, 543, 1646, 267, 9588, 543, 18094, 540, 4761, 3210, 547, 25362, 3250, 320, 454, 629, 677, 639, 3968, 799, 941, 6766, 676, 2205, 18834, 540, 8833, 563, 12901, 324, 3288, 521, 657, 701, 15939, 632, 17611, 1180, 4106, 529, 1102, 324, 764, 3930, 320, 586, 3288, 513, 639, 16780, 807, 632, 17333, 4592, 535, 665, 657, 632, 1102, 324, 764, 542, 267, 733, 580, 340, 657, 522, 11397, 525, 267, 694, 1483, 714, 334, 3235, 18201, 328, 522, 6588, 325, 807, 11188, 521, 657, 701, 15939, 632, 17611, 1180, 4106, 529, 11188, 25362, 3250, 320, 454, 338, 653, 267, 679, 3288, 524, 783, 3288, 1130, 341, 3121, 513, 677, 3821, 1459, 320, 19448, 4337, 523, 12162, 983, 632, 796, 657, 476, 275, 6515, 632, 1279, 2595, 740, 615, 5866, 513, 3288, 1286, 320, 5887, 14152, 1642, 6063, 334, 8318, 9222, 632, 516, 11155, 598, 1940, 574, 1304, 334, 3242, 1304, 324, 5854, 1807, 1470, 544, 8500, 647, 7465, 10216, 632, 3543, 30685, 267, 5609, 1459, 541, 513, 2739, 30685, 632, 3288, 30775, 542, 1130, 341, 983, 563, 763, 5868, 540, 20015, 3250, 2670, 666, 581, 676, 3500, 21212, 2528, 689, 1973, 610, 1979, 3591, 625, 267, 1583, 1670, 17431, 540, 25362, 3250, 320, 454, 656, 756, 3672, 630, 5085, 26721, 264, 585, 519, 811, 4122, 11402, 12490, 267, 543, 19738, 29508, 585, 9668, 543, 884, 857, 566, 540, 519, 18714, 543, 7286, 25850, 12490, 563, 8624, 339, 677, 328, 267, 834, 21008, 894, 8417, 540, 15074, 18236, 543, 8546, 4903, 331, 583, 1588, 4255, 585, 519, 7020, 540, 25362, 3250, 320, 454, 4754, 529, 12489, 538, 4603, 958, 7783, 5243, 2437, 4750, 540, 11930, 31814, 267, 2019, 563, 7659, 1913, 281, 25362, 3250, 320, 454, 267, 5027, 267, 1981, 2188, 267, 19738, 267, 14606, 267, 5450, 10402, 15299, 563, 13828, 519, 16796, 543, 11483, 293, 5439, 941, 2318, 585, 20015, 3250, 320, 454, 332, 4106, 18424, 12489, 693, 5707, 619, 540, 476, 272, 281, 17168, 563, 305, 289, 7906, 4422, 15860, 267, 519, 3968, 689, 519, 4551, 666, 1267, 538, 5312, 1072, 2042, 899, 12263, 267, 2295, 2042, 267, 23822, 618, 540, 519, 838, 22220, 610, 6797, 267, 543, 267, 538, 4686, 2665, 267, 8401, 1062, 5829, 3676, 899, 23971, 4345, 563, 274, 264, 4033, 2090, 723, 1336, 519, 11841, 540, 5778, 321, 745, 3250, 2670, 10838, 1453, 7783, 609, 25362, 3250, 320, 454, 1729, 581, 476, 271, 563, 516, 12393, 3330, 2281, 543, 859, 1228, 519, 17916, 543, 13261, 12046, 543, 2014, 519, 2068, 630, 293, 32218, 267, 476, 1220, 274, 1916, 763, 23707, 5439, 941, 6394, 543, 16487, 547, 519, 8047, 538, 25362, 3250, 320, 454, 763, 29865, 267, 799, 814, 1044, 513, 22294, 538, 519, 1583, 1670, 5868, 540, 20015, 3250, 2670, 267, 568, 1759, 593, 519, 5114, 540, 513, 1634, 13387, 4320, 543, 5834, 540, 2898, 25362, 3250, 320, 454, 629, 677, 639, 543, 25362, 3250, 320, 454, 17745, 527, 18424, 1591, 20022, 609, 513, 13387, 4320, 540, 30945, 16796, 8920, 1903, 267, 2356, 8151, 689, 476, 272, 281, 736, 547, 476, 272, 281, 12553, 271, 1547, 0, 763, 2165, 12654, 305, 814, 1044, 1031, 513, 2603, 936, 519, 2250, 1032, 267, 855, 621, 666, 581, 14845, 543, 2352, 547, 917, 1018, 621, 4016, 547, 543, 945, 621, 10039, 547, 269, 769, 713, 3391, 267, 649, 1491, 513, 1413, 693, 1018, 12654, 305, 568, 267, 519, 3549, 602, 991, 547, 1491, 4063, 543, 875, 4213, 666, 2327, 789, 2461, 5870, 519, 2556, 4170, 547, 581, 12654, 305, 5360, 5050, 563, 1432, 568, 12654, 305, 888, 294, 7894, 305, 6763, 585, 519, 4937, 4578, 10466, 19938, 543, 568, 513, 7939, 593, 2123, 1239, 4027, 602, 3357, 883, 1198, 538, 2904, 476, 1001, 279, 269, 634, 7939, 729, 2813, 547, 2149, 1004, 2713, 538, 519, 3864, 5742, 543, 6663, 547, 1683, 513, 3044, 585, 782, 2477, 538, 2342, 676, 4180, 602, 4213, 616, 782, 2324, 538, 519, 1482, 1259, 538, 2474, 540, 1239, 4027, 269, 12654, 305, 3340, 602, 14540, 4431, 547, 1022, 2055, 5561, 2307, 827, 741, 2123, 1239, 267, 971, 607, 2436, 610, 711, 789, 616, 4393, 519, 1239, 538, 519, 1101, 1747, 267, 1018, 1239, 789, 3180, 543, 875, 1279, 621, 814, 1044, 6740, 269, 1403, 606, 1367, 13668, 585, 513, 5299, 540, 741, 1239, 267, 519, 13539, 2115, 547, 3761, 602, 1344, 1863, 540, 5279, 543, 18419, 621, 952, 519, 1367, 13668, 585, 873, 547, 798, 865, 563, 8005, 814, 547, 1290, 2952, 888, 294, 7894, 305, 10039, 547, 782, 4357, 4213, 267, 1533, 7245, 543, 1022, 824, 13539, 602, 6585, 543, 3157, 2123, 1239, 269, 898, 849, 10039, 547, 3549, 602, 7500, 3544, 540, 519, 9167, 267, 952, 1346, 4213, 1184, 519, 2123, 1239, 540, 2043, 945, 2661, 538, 519, 9167, 563, 1432, 4032, 338, 607, 9608, 4578, 888, 23114, 1239, 568, 693, 519, 4295, 540, 12654, 305, 267, 855, 621, 3085, 1406, 4019, 547, 782, 540, 519, 1239, 602, 513, 2754, 814, 269, 9608, 1239, 568, 1344, 602, 666, 581, 1031, 547, 2697, 606, 1367, 269, 901, 1522, 581, 6913, 676, 8380, 1114, 4773, 540, 1344, 1927, 267, 1256, 952, 741, 2012, 3884, 1406, 7923, 547, 621, 269, 901, 1797, 602, 1018, 12523, 607, 2123, 1239, 666, 581, 11212, 3376, 267, 689, 21489, 7306, 267, 513, 15908, 610, 606, 3239, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7312, 7379, 17372, 568, 476, 2420, 269, 20969, 269, 14378, 269, 14862, 269, 901, 568, 519, 1857, 7379, 2232, 540, 707, 2780, 563, 2252, 707, 2780, 568, 3297, 513, 18760, 610, 1031, 513, 21285, 7746, 547, 2070, 713, 2985, 267, 519, 4429, 2467, 616, 1079, 4441, 585, 7379, 9607, 281, 7379, 19405, 476, 275, 630, 7709, 341, 275, 264, 543, 7379, 19405, 476, 277, 27210, 7709, 341, 277, 1040, 2353, 5904, 609, 7379, 9607, 723, 606, 7379, 341, 275, 2232, 267, 543, 1082, 616, 4429, 2304, 7379, 2232, 568, 606, 32165, 585, 3457, 593, 513, 27427, 270, 7709, 3060, 269, 17978, 1210, 454, 307, 9573, 270, 7709, 8905, 6835, 1759, 593, 519, 7379, 2232, 540, 519, 10278, 563, 1607, 4214, 568, 1759, 593, 5769, 16257, 19405, 476, 275, 269, 6423, 5769, 16257, 454, 309, 619, 542, 476, 277, 630, 7709, 341, 277, 264, 585, 513, 6609, 540, 519, 18960, 476, 12553, 19229, 7379, 2232, 269, 8074, 602, 519, 4429, 763, 7379, 17372, 6733, 1575, 1907, 2882, 519, 1739, 7379, 17372, 3877, 281, 4975, 267, 3557, 1315, 454, 8802, 542, 267, 5403, 531, 1315, 2098, 760, 8943, 267, 13474, 8745, 267, 13474, 8943, 267, 5384, 18630, 267, 4959, 303, 563, 1607, 1982, 2982, 875, 547, 946, 519, 7379, 11754, 816, 1362, 547, 3489, 513, 7746, 12262, 7379, 454, 5417, 816, 612, 543, 1644, 1344, 269, 1210, 3590, 282, 1210, 3590, 12991, 564, 282, 1210, 0, 1103, 930, 24352, 520, 5321, 4199, 1368, 8973, 2623, 568, 1360, 6654, 269, 769, 824, 5321, 621, 666, 581, 1360, 2182, 547, 3713, 1813, 547, 875, 11029, 835, 610, 811, 540, 519, 7314, 616, 538, 519, 2623, 4159, 269, 634, 7314, 949, 1413, 607, 952, 789, 1205, 2059, 267, 543, 538, 1034, 3344, 540, 741, 2729, 1927, 789, 949, 711, 723, 1022, 2152, 269, 1703, 1522, 581, 835, 610, 811, 3871, 1498, 602, 798, 2014, 835, 3032, 547, 1831, 8825, 936, 1945, 563, 4910, 1830, 2871, 8973, 693, 519, 9697, 779, 30839, 13749, 454, 23536, 2406, 519, 1034, 1455, 4199, 1368, 8973, 2623, 4523, 693, 519, 1426, 12826, 269, 6884, 519, 6653, 652, 3032, 666, 2490, 883, 513, 20259, 950, 621, 2501, 547, 7303, 1010, 26804, 15274, 689, 4947, 2673, 547, 519, 1426, 269, 1261, 949, 1175, 9856, 1010, 1378, 12826, 610, 646, 949, 9856, 782, 519, 26633, 269, 1403, 596, 3049, 856, 540, 835, 2146, 1426, 12826, 646, 949, 9856, 519, 13675, 547, 519, 10051, 269, 634, 1368, 8973, 3032, 949, 7903, 519, 824, 7314, 856, 540, 519, 1259, 538, 1931, 547, 3548, 1101, 269, 769, 1082, 3871, 1141, 835, 3032, 814, 1044, 14578, 13032, 1221, 693, 519, 1426, 12826, 267, 646, 949, 1451, 547, 1175, 7227, 2394, 519, 1368, 8973, 3032, 814, 8737, 4189, 269, 634, 19531, 730, 3032, 949, 1694, 1055, 547, 519, 2427, 610, 949, 723, 4121, 711, 547, 4283, 519, 10051, 693, 782, 538, 1931, 547, 2057, 513, 2168, 30925, 563, 4910, 1830, 2871, 8973, 693, 519, 700, 7867, 13340, 454, 4910, 1830, 1368, 8973, 666, 849, 1491, 1747, 693, 519, 16445, 4216, 543, 538, 930, 2665, 621, 666, 581, 5393, 11029, 547, 519, 3032, 2385, 269, 634, 3032, 949, 2408, 547, 581, 21514, 978, 532, 538, 519, 1647, 540, 519, 10689, 3118, 3056, 547, 519, 4055, 1141, 519, 16445, 4216, 568, 4092, 269, 1261, 949, 1413, 11207, 17159, 855, 538, 4641, 267, 1018, 646, 1522, 581, 3257, 568, 1368, 8973, 519, 2619, 547, 519, 16445, 4216, 269, 1280, 1022, 13959, 7314, 547, 1569, 519, 16445, 4216, 789, 1131, 723, 547, 3802, 2250, 519, 26804, 9856, 563, 5719, 2718, 609, 12754, 2871, 8973, 693, 519, 5253, 30558, 454, 763, 1655, 2623, 14842, 4480, 585, 7231, 609, 4199, 1368, 8973, 568, 547, 2709, 3903, 269, 1879, 513, 3032, 814, 513, 3903, 646, 568, 1447, 2693, 547, 1831, 14129, 543, 4743, 602, 646, 2115, 547, 9718, 606, 6221, 563, 1103, 519, 2013, 540, 519, 8023, 6728, 267, 1305, 909, 1426, 26633, 538, 811, 982, 835, 4087, 269, 1403, 596, 4076, 1044, 8023, 856, 540, 835, 1455, 12826, 267, 7941, 909, 519, 1426, 883, 1896, 8286, 543, 3262, 873, 856, 269, 634, 4199, 1368, 8973, 3032, 666, 1406, 581, 538, 782, 4025, 693, 2899, 269, 1403, 519, 4199, 1368, 8973, 729, 15427, 676, 519, 3032, 2348, 547, 2671, 513, 12826, 609, 1776, 3032, 1287, 4259, 856, 811, 26633, 538, 835, 4087, 949, 581, 2614, 269, 1403, 519, 2623, 568, 811, 4049, 543, 519, 19531, 730, 3032, 4465, 1406, 3548, 1247, 519, 1368, 8973, 3032, 568, 538, 519, 1482, 4055, 1287, 1305, 909, 3606, 8023, 10473, 1472, 519, 2777, 269, 7994, 6753, 1141, 19531, 730, 7314, 6923, 1745, 811, 6899, 269, 9255, 26633, 593, 1585, 7299, 2157, 547, 948, 19531, 730, 7314, 1745, 811, 5150, 1317, 789, 666, 4585, 585, 1022, 1129, 540, 1776, 3032, 10024, 519, 4055, 563, 8196, 11015, 29650, 1282, 519, 1554, 547, 2285, 707, 3032, 1945, 547, 798, 538, 1931, 547, 7118, 1426, 12587, 269, 15391, 532, 12662, 519, 3032, 538, 513, 1434, 7406, 540, 2247, 543, 865, 2348, 519, 4316, 547, 960, 585, 1426, 543, 7118, 513, 8007, 949, 948, 14867, 30627, 267, 8897, 8082, 267, 9602, 1761, 10728, 13341, 543, 621, 786, 2061, 519, 7314, 689, 3478, 1932, 17237, 269, 3807, 1118, 2386, 596, 1305, 909, 513, 1434, 1297, 540, 11015, 29650, 2429, 519, 2777, 865, 1169, 3032, 4991, 513, 4960, 547, 2972, 873, 563, 5719, 2718, 2060, 12754, 2871, 8973, 693, 519, 700, 7867, 13340, 454, 2026, 609, 519, 1657, 1383, 609, 519, 8023, 6728, 267, 3903, 4249, 513, 1360, 1271, 1909, 1934, 269, 5213, 1406, 2322, 707, 7314, 538, 513, 13029, 3510, 676, 16550, 873, 547, 723, 547, 2671, 835, 4216, 269, 4634, 952, 596, 4076, 1305, 909, 811, 982, 835, 4216, 267, 952, 596, 2322, 873, 782, 538, 519, 1482, 4055, 621, 1869, 12662, 2576, 538, 519, 2990, 540, 1373, 2111, 547, 4497, 538, 1368, 8973, 2623, 269, 9255, 10833, 538, 2789, 6753, 1472, 519, 2777, 865, 1169, 3032, 814, 513, 6899, 4781, 269, 1879, 14045, 1141, 10833, 1058, 581, 4092, 267, 3442, 2127, 1141, 835, 3032, 4465, 1406, 581, 7142, 547, 4283, 1776, 3032, 779, 4087, 269, 3958, 267, 950, 596, 917, 596, 723, 513, 3032, 945, 1281, 4043, 547, 9856, 267, 1810, 1406, 1747, 2200, 1141, 824, 7314, 723, 547, 3802, 2250, 513, 7522, 6679, 630, 7945, 607, 513, 1279, 10689, 3118, 264, 952, 596, 666, 2057, 621, 563, 4910, 1830, 2871, 8973, 2052, 19732, 523, 538, 3509, 32163, 725, 609, 19949, 454, 763, 1883, 568, 2141, 547, 1683, 3903, 543, 1810, 1406, 2322, 707, 7314, 538, 513, 3510, 1141, 789, 616, 7142, 547, 2671, 1945, 269, 1411, 949, 723, 513, 3032, 945, 1178, 2125, 513, 11442, 1282, 606, 7317, 1404, 8400, 543, 19531, 919, 519, 824, 7314, 883, 9363, 538, 519, 4282, 269, 1677, 2057, 713, 267, 798, 707, 7317, 7886, 14350, 610, 946, 811, 982, 835, 11442, 563, 29490, 1305, 707, 7314, 909, 547, 8011, 563, 23921, 2859, 6176, 888, 2171, 2461, 20994, 855, 31656, 568, 8572, 547, 4431, 547, 2055, 610, 24616, 11540, 538, 519, 6085, 3296, 269, 1403, 596, 723, 513, 2243, 827, 3032, 2623, 267, 596, 666, 1265, 1082, 4267, 538, 519, 4930, 31656, 11339, 585, 519, 3896, 607, 1134, 607, 538, 1200, 1655, 5498, 29818, 2835, 269, 0, 763, 1459, 8798, 12211, 547, 513, 1505, 585, 519, 1463, 267, 12825, 29208, 543, 15971, 540, 5027, 6675, 607, 1134, 607, 519, 946, 540, 519, 1505, 269, 634, 1463, 267, 12825, 29208, 543, 15971, 540, 5027, 6675, 568, 5219, 547, 607, 968, 291, 13052, 3008, 892, 538, 519, 1739, 563, 19091, 5311, 8990, 607, 2919, 676, 590, 9734, 1696, 620, 269, 16733, 3192, 278, 264, 28540, 269, 14844, 331, 269, 6298, 2233, 269, 7330, 476, 10619, 267, 476, 276, 5379, 274, 268, 276, 5379, 278, 264, 568, 2356, 5645, 856, 609, 513, 570, 278, 5027, 29920, 630, 307, 1987, 590, 269, 543, 27672, 517, 267, 595, 269, 595, 269, 630, 2735, 280, 264, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 476, 10436, 267, 476, 2412, 278, 277, 268, 2412, 279, 271, 1040, 901, 1505, 3340, 5266, 1804, 5666, 540, 513, 29881, 267, 2582, 3613, 8681, 539, 5027, 10959, 269, 21298, 4783, 15971, 814, 1044, 2919, 630, 300, 584, 2001, 267, 966, 269, 630, 2735, 280, 264, 715, 16197, 545, 3600, 1749, 1763, 269, 476, 1704, 267, 476, 31229, 280, 1040, 901, 1505, 1281, 711, 2154, 513, 2582, 3613, 8681, 539, 10959, 543, 2636, 519, 5311, 5114, 547, 581, 15748, 609, 5266, 1507, 5666, 540, 10959, 269, 1717, 267, 519, 10959, 5027, 814, 547, 581, 29881, 547, 3592, 2347, 4630, 23189, 543, 568, 2356, 5423, 676, 1797, 540, 28295, 538, 9842, 332, 1749, 630, 289, 565, 643, 541, 267, 674, 269, 1696, 620, 1421, 630, 3192, 278, 264, 22319, 476, 273, 267, 476, 4817, 268, 13647, 264, 543, 7766, 9842, 13232, 22729, 630, 289, 597, 333, 2692, 574, 267, 670, 269, 595, 269, 543, 667, 8432, 267, 808, 269, 630, 3192, 280, 264, 715, 16197, 545, 3600, 1749, 1763, 269, 476, 278, 267, 476, 14681, 274, 268, 13923, 274, 264, 610, 676, 1797, 540, 19738, 29208, 630, 300, 1638, 529, 267, 918, 269, 645, 269, 543, 24415, 3019, 320, 267, 674, 269, 589, 269, 630, 2735, 278, 264, 10613, 2037, 9195, 565, 269, 476, 14028, 267, 476, 28178, 268, 12573, 1040, 8307, 835, 29194, 568, 1031, 538, 1312, 540, 519, 2409, 4330, 1657, 563, 1103, 835, 20032, 540, 519, 4783, 15971, 799, 568, 5219, 547, 607, 968, 322, 537, 9482, 29208, 543, 15971, 892, 610, 968, 290, 3008, 892, 22859, 8457, 543, 918, 1342, 16733, 1960, 272, 264, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 476, 6434, 267, 476, 27005, 276, 268, 27005, 280, 282, 772, 2529, 269, 4793, 269, 3143, 269, 476, 276, 267, 275, 2767, 267, 26605, 264, 723, 3254, 602, 835, 666, 946, 513, 1079, 9912, 7014, 547, 5352, 9696, 689, 5027, 17074, 269, 769, 519, 1101, 1900, 476, 1428, 19738, 9979, 616, 5645, 856, 609, 19248, 336, 454, 19091, 29920, 538, 519, 9000, 540, 546, 728, 2135, 2106, 16197, 582, 1938, 538, 1931, 547, 5965, 606, 7850, 2179, 540, 15971, 10959, 269, 769, 513, 2034, 1900, 538, 799, 546, 728, 2135, 2106, 16197, 582, 1938, 543, 513, 31002, 29194, 616, 3773, 267, 31909, 7472, 519, 5311, 607, 1134, 607, 519, 3606, 29208, 540, 519, 3077, 5311, 269, 5565, 2215, 619, 616, 1031, 538, 1312, 3268, 540, 519, 1505, 563, 307, 26698, 5027, 29920, 267, 602, 568, 1031, 538, 13745, 5027, 15971, 6547, 9244, 5806, 7149, 1996, 546, 323, 301, 9143, 338, 543, 23295, 16621, 546, 301, 9143, 338, 952, 621, 568, 7677, 1639, 609, 513, 7848, 540, 546, 323, 301, 9143, 338, 607, 1134, 607, 546, 301, 9143, 338, 269, 769, 1840, 621, 16621, 1142, 546, 323, 301, 9143, 267, 1775, 4318, 269, 546, 323, 2969, 303, 267, 546, 323, 6311, 303, 267, 546, 323, 294, 9143, 267, 546, 323, 307, 9143, 267, 609, 513, 9244, 8795, 4398, 269, 9747, 519, 11938, 540, 519, 31909, 1184, 3340, 6297, 5707, 1674, 540, 519, 546, 728, 2135, 2106, 16197, 582, 1938, 563, 13010, 2094, 13745, 29208, 543, 15971, 5673, 593, 519, 2179, 540, 519, 3355, 5027, 267, 519, 3845, 1063, 519, 1079, 2215, 619, 543, 519, 9830, 543, 519, 12753, 540, 519, 546, 323, 301, 9143, 338, 543, 546, 301, 9143, 338, 3448, 547, 835, 1776, 543, 547, 1142, 824, 267, 519, 11938, 540, 13745, 29208, 543, 15971, 6547, 630, 290, 3008, 264, 3340, 602, 519, 5114, 2175, 616, 14350, 20979, 585, 513, 1880, 5027, 23650, 563, 5472, 519, 2409, 4330, 1657, 2154, 606, 954, 8306, 1063, 519, 1101, 1900, 540, 12825, 29208, 540, 519, 10959, 5027, 543, 519, 2034, 1900, 585, 519, 10282, 540, 959, 15635, 730, 5027, 6675, 543, 849, 2154, 519, 1367, 11938, 540, 513, 2016, 5027, 23650, 799, 666, 581, 32462, 543, 942, 21791, 543, 666, 1291, 547, 6959, 2523, 950, 15971, 513, 1804, 1297, 540, 1114, 5027, 6675, 610, 950, 4393, 1804, 5666, 540, 5439, 538, 513, 6413, 610, 8047, 610, 950, 15971, 4686, 5439, 585, 18837, 610, 15456, 2090, 563, 2690, 713, 2601, 621, 1131, 581, 25368, 547, 723, 2139, 513, 1505, 585, 15971, 31332, 7408, 799, 8195, 1494, 11230, 919, 519, 12825, 29208, 540, 6675, 540, 2407, 3259, 543, 540, 6675, 540, 959, 15635, 730, 3259, 538, 519, 5114, 799, 5012, 547, 513, 5786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 5259, 14868, 563, 268, 8347, 18570, 2984, 883, 14868, 543, 17691, 269, 3657, 972, 1022, 596, 616, 711, 2386, 827, 888, 268, 16680, 519, 1453, 1427, 2454, 14868, 543, 17691, 563, 268, 5269, 513, 3377, 1867, 827, 606, 2680, 689, 513, 7242, 610, 10828, 563, 7069, 2195, 543, 6181, 1742, 12700, 454, 268, 3733, 2195, 616, 1305, 538, 519, 2250, 543, 1419, 616, 513, 1259, 540, 7713, 875, 1919, 3357, 547, 581, 267, 610, 1946, 789, 616, 607, 789, 616, 269, 1358, 1419, 1331, 3504, 10971, 267, 610, 26704, 7068, 630, 528, 1312, 256, 1916, 268, 6181, 1742, 616, 1419, 1759, 593, 513, 1483, 1268, 610, 2680, 267, 855, 2356, 2270, 608, 12000, 3130, 610, 11840, 566, 563, 268, 3733, 2195, 543, 17691, 941, 19942, 1524, 676, 1373, 1427, 1245, 1354, 2542, 543, 1603, 941, 7839, 563, 268, 2353, 12977, 723, 513, 5137, 7242, 267, 827, 875, 519, 1158, 729, 1500, 563, 763, 7242, 3297, 519, 4457, 1990, 31821, 454, 2304, 14318, 540, 519, 1650, 540, 519, 4279, 17813, 563, 305, 7342, 942, 281, 476, 275, 281, 2420, 454, 763, 26499, 540, 16902, 1218, 20531, 3118, 454, 1607, 4528, 540, 519, 10828, 814, 1100, 5188, 267, 1818, 621, 3501, 585, 519, 1453, 547, 2328, 741, 1378, 563, 305, 7342, 942, 281, 476, 273, 281, 3374, 454, 1432, 1772, 589, 19088, 888, 1607, 3381, 3096, 519, 7242, 540, 19966, 577, 928, 607, 513, 17003, 585, 1603, 513, 1007, 7242, 563, 305, 7342, 942, 281, 476, 273, 281, 1789, 454, 13900, 523, 540, 31684, 6970, 6748, 30765, 454, 763, 9710, 12288, 2876, 1559, 2319, 1427, 749, 519, 1650, 540, 519, 18858, 13568, 12668, 563, 305, 7342, 942, 281, 476, 274, 281, 2641, 454, 6701, 596, 3450, 707, 1453, 827, 824, 3584, 286, 10812, 938, 2407, 4015, 540, 10274, 256, 0, 26139, 560, 13834, 267, 18830, 5980, 454, 343, 2424, 568, 711, 1121, 539, 1221, 676, 10014, 855, 676, 22215, 1346, 4229, 602, 454, 1410, 2850, 267, 799, 616, 3875, 543, 616, 10355, 7357, 1369, 938, 1852, 563, 29638, 568, 513, 1907, 540, 2112, 269, 1703, 568, 513, 2112, 530, 3042, 1996, 938, 4703, 267, 938, 8186, 267, 543, 519, 1761, 540, 938, 3347, 281, 519, 1514, 2112, 269, 1548, 568, 4008, 543, 1018, 568, 621, 547, 581, 575, 25311, 286, 717, 11367, 616, 13998, 9112, 6688, 602, 5330, 547, 683, 12712, 748, 6724, 4478, 581, 268, 688, 341, 12542, 267, 4638, 885, 267, 15312, 267, 8739, 14426, 5107, 267, 4703, 267, 1696, 524, 2678, 320, 269, 717, 11367, 598, 4038, 1125, 8335, 538, 1114, 4025, 267, 2053, 267, 543, 13619, 340, 268, 620, 338, 282, 930, 786, 1995, 4008, 607, 1360, 1526, 878, 1154, 267, 1247, 1866, 786, 2760, 5734, 519, 6302, 741, 25469, 20818, 593, 873, 269, 13834, 568, 538, 2169, 878, 2406, 4448, 547, 14920, 267, 543, 1312, 10419, 1302, 3337, 543, 632, 268, 5386, 1142, 824, 269, 634, 1079, 1034, 4122, 13684, 25469, 616, 812, 270, 5256, 543, 4807, 11721, 24580, 267, 543, 547, 30065, 2476, 689, 873, 267, 1847, 10838, 873, 610, 957, 1996, 873, 14805, 976, 519, 11268, 8069, 540, 2486, 269, 13834, 2640, 1346, 945, 1616, 547, 1852, 267, 1514, 1125, 267, 543, 4383, 721, 543, 3091, 721, 4986, 538, 2132, 269, 5272, 942, 513, 1268, 568, 29506, 1242, 543, 575, 25311, 267, 2486, 814, 16091, 873, 267, 16876, 873, 267, 530, 3042, 2112, 593, 873, 563, 12892, 2112, 568, 519, 4655, 602, 21269, 782, 2486, 269, 4317, 2112, 568, 519, 6560, 1996, 2486, 1700, 602, 568, 547, 2161, 267, 1996, 782, 4540, 1514, 882, 320, 268, 512, 687, 269, 634, 1582, 1673, 652, 10614, 12402, 1369, 2486, 267, 865, 10777, 968, 21468, 27940, 268, 524, 658, 2623, 2223, 519, 7287, 547, 4971, 543, 547, 23491, 267, 6411, 540, 18326, 543, 6411, 540, 15699, 267, 519, 678, 3999, 543, 519, 2132, 547, 960, 281, 891, 616, 519, 6285, 543, 4831, 31281, 2931, 538, 713, 2112, 269, 4317, 2112, 568, 519, 12959, 1063, 1346, 945, 6999, 547, 6861, 2486, 543, 1346, 4509, 621, 269, 24755, 657, 1996, 1852, 269, 23875, 1145, 543, 1761, 267, 1996, 3388, 543, 519, 2291, 550, 269, 18421, 602, 6585, 2486, 1927, 1202, 12885, 721, 689, 1142, 824, 282, 1142, 9514, 547, 28735, 543, 1852, 568, 513, 1900, 6251, 547, 1142, 824, 267, 513, 1900, 2476, 689, 938, 13684, 9163, 267, 938, 32238, 267, 543, 4724, 12808, 7872, 269, 5221, 2486, 568, 10876, 267, 519, 1152, 1259, 547, 9101, 568, 547, 3094, 519, 1514, 2112, 281, 547, 6861, 2486, 269, 13834, 568, 835, 540, 519, 18651, 1206, 593, 799, 519, 1514, 2112, 568, 10692, 563, 29638, 3294, 568, 1031, 607, 513, 1907, 585, 3844, 1944, 543, 3935, 1944, 269, 1306, 17417, 6410, 3544, 540, 2342, 547, 2417, 7810, 3785, 267, 789, 4547, 741, 2093, 543, 1523, 687, 540, 4008, 269, 634, 6046, 1920, 543, 519, 1808, 25469, 543, 4638, 885, 602, 621, 3340, 941, 4914, 547, 1082, 1875, 2914, 3480, 4529, 602, 1106, 3885, 538, 1022, 1297, 540, 824, 2081, 269, 634, 6046, 1920, 568, 513, 1770, 602, 13352, 1034, 3362, 538, 519, 1514, 2239, 540, 8789, 7262, 4529, 282, 621, 4249, 3362, 883, 30013, 1379, 10085, 268, 562, 600, 923, 269, 10738, 519, 6046, 1920, 267, 519, 24663, 1281, 519, 960, 540, 519, 3935, 6500, 281, 23462, 267, 2384, 532, 5615, 543, 5107, 267, 543, 540, 1576, 519, 11268, 543, 12093, 540, 25469, 5827, 540, 4540, 811, 25678, 1369, 7262, 25327, 269, 634, 7269, 540, 519, 5939, 543, 519, 3262, 540, 8567, 5129, 513, 1804, 851, 538, 519, 3262, 540, 519, 6046, 1920, 543, 7262, 1523, 687, 540, 4008, 543, 14920, 269, 2368, 5095, 7608, 8567, 267, 10128, 621, 883, 741, 4529, 547, 8795, 5232, 267, 1247, 1866, 941, 3423, 1836, 7142, 547, 968, 23100, 892, 621, 269, 901, 3884, 1406, 547, 2161, 602, 4008, 4769, 1406, 2291, 538, 930, 1106, 3544, 540, 19525, 543, 7262, 4529, 269, 4033, 4229, 616, 15983, 693, 1404, 538, 10747, 543, 12145, 1018, 4008, 568, 267, 855, 1018, 568, 1978, 568, 602, 519, 1699, 968, 684, 1853, 268, 2892, 892, 543, 968, 11499, 892, 2093, 540, 4008, 1631, 6565, 538, 851, 689, 19525, 543, 513, 991, 547, 3844, 1125, 543, 1852, 1875, 2914, 3480, 3029, 540, 1272, 563, 763, 28250, 270, 10520, 9352, 849, 2417, 338, 3844, 1436, 543, 19525, 267, 15849, 559, 908, 543, 11008, 1944, 782, 9163, 3544, 540, 3294, 269, 6145, 782, 3029, 540, 6041, 267, 519, 28250, 270, 10520, 9352, 607, 606, 782, 10276, 7609, 532, 1305, 540, 6688, 568, 1312, 24609, 532, 543, 16283, 269, 1703, 616, 25469, 602, 616, 711, 28250, 855, 798, 711, 1747, 2933, 896, 519, 1098, 22597, 269, 6736, 713, 267, 4896, 945, 3884, 1406, 28250, 568, 10924, 547, 581, 1098, 267, 543, 13030, 17930, 269, 1323, 11806, 1285, 656, 3577, 324, 7575, 547, 15849, 30968, 782, 968, 684, 639, 783, 892, 25469, 267, 543, 1256, 519, 3668, 540, 4008, 267, 883, 1098, 268, 1145, 269, 901, 3762, 1100, 4055, 585, 1022, 268, 835, 547, 2887, 3544, 540, 891, 6688, 269, 901, 1419, 4249, 856, 538, 513, 7810, 6073, 267, 17021, 1875, 2914, 3480, 25469, 1850, 1043, 547, 543, 19242, 676, 7262, 11806, 6386, 540, 4008, 543, 14920, 563, 14085, 540, 721, 4866, 547, 1022, 4008, 3544, 519, 2796, 540, 1514, 2112, 269, 2334, 568, 547, 2161, 267, 4008, 568, 513, 1514, 791, 3789, 2390, 721, 267, 513, 1797, 540, 5329, 721, 896, 1852, 630, 2421, 12145, 1018, 568, 11807, 585, 4896, 575, 25311, 538, 1022, 1259, 1040, 634, 1360, 6228, 540, 1098, 1004, 540, 782, 26145, 630, 18034, 1875, 1532, 2435, 1004, 1070, 543, 540, 954, 16303, 4703, 799, 9933, 622, 3646, 547, 14487, 4008, 547, 1978, 26715, 4162, 267, 7125, 883, 2243, 519, 2239, 602, 4008, 13408, 1079, 7123, 6211, 6688, 602, 1246, 689, 4481, 3023, 539, 4703, 269, 1452, 19178, 7903, 721, 547, 11760, 602, 4008, 568, 1945, 602, 4523, 547, 721, 543, 711, 1945, 602, 649, 616, 20244, 610, 968, 333, 6334, 3034, 10376, 540, 721, 568, 513, 5318, 543, 796, 31642, 16666, 4986, 267, 606, 28222, 14984, 13737, 640, 269, 1955, 19397, 513, 4008, 593, 721, 267, 606, 3961, 1256, 267, 666, 1152, 588, 604, 548, 721, 693, 1655, 543, 6861, 721, 693, 10782, 269, 28055, 532, 547, 5581, 721, 786, 2141, 3111, 269, 3143, 7121, 666, 4628, 2270, 721, 282, 1022, 3961, 786, 8209, 556, 268, 8833, 267, 543, 865, 649, 1590, 28586, 3961, 269, 1717, 267, 649, 8910, 581, 18174, 880, 547, 20912, 519, 1570, 4539, 540, 519, 14868, 540, 3961, 1107, 891, 14868, 616, 267, 1310, 782, 267, 10838, 519, 13210, 540, 15746, 269, 25175, 945, 568, 5143, 789, 616, 513, 4807, 786, 581, 5701, 968, 3697, 513, 4807, 2223, 5103, 519, 1249, 602, 2021, 2671, 4986, 824, 982, 519, 7242, 540, 4807, 3125, 543, 519, 6848, 5208, 602, 9311, 625, 713, 7242, 269, 3962, 942, 649, 616, 575, 25311, 267, 2486, 568, 12394, 547, 3970, 721, 281, 547, 1978, 5615, 543, 5107, 267, 547, 1978, 3527, 543, 15312, 269, 6468, 616, 12391, 543, 4617, 282, 2367, 616, 1202, 17567, 543, 2178, 269, 13834, 887, 2125, 721, 540, 938, 1761, 547, 798, 543, 581, 8726, 267, 543, 1287, 3091, 721, 513, 3908, 2039, 540, 5107, 267, 1035, 268, 512, 687, 267, 15312, 543, 5615, 26437, 607, 513, 1808, 1514, 7121, 269, 1284, 723, 519, 1761, 547, 581, 4376, 267, 855, 4008, 568, 519, 7242, 602, 6645, 721, 649, 616, 4481, 1945, 543, 1152, 602, 1945, 269, 2353, 519, 7592, 1585, 25469, 968, 4752, 518, 892, 616, 7592, 649, 666, 18220, 593, 938, 1378, 267, 1510, 519, 791, 3789, 540, 4008, 563, 6826, 327, 3058, 538, 2081, 602, 616, 2938, 607, 3544, 519, 6389, 540, 938, 708, 268, 15054, 25469, 786, 23366, 3142, 1524, 1065, 1833, 269, 6787, 602, 556, 268, 533, 1833, 28107, 607, 606, 26101, 14902, 689, 513, 24107, 610, 607, 513, 4049, 25588, 543, 7890, 4845, 786, 4096, 593, 519, 2796, 282, 2901, 1259, 267, 607, 1279, 607, 4008, 3788, 16856, 267, 649, 786, 581, 3908, 547, 519, 8638, 540, 3527, 602, 616, 11807, 547, 519, 4008, 649, 2461, 9228, 547, 581, 267, 561, 652, 649, 3068, 30997, 5208, 269, 1284, 723, 4986, 547, 2744, 689, 1373, 575, 25311, 602, 3085, 1406, 2097, 689, 2901, 598, 14127, 547, 938, 1378, 25469, 610, 607, 513, 9785, 268, 3514, 540, 2384, 532, 610, 30191, 519, 25469, 540, 1866, 269, 901, 568, 547, 2161, 267, 649, 2744, 4986, 689, 4008, 602, 3884, 1406, 1759, 593, 9013, 1866, 610, 12145, 6000, 269, 3958, 267, 782, 575, 754, 1359, 10419, 340, 919, 543, 25040, 9246, 268, 2895, 344, 269, 769, 2474, 540, 15796, 267, 28250, 268, 1145, 543, 4731, 8864, 616, 10704, 267, 17028, 268, 610, 527, 1242, 267, 23518, 269, 717, 754, 1359, 4025, 1004, 6251, 610, 2417, 689, 519, 4099, 267, 1657, 543, 2630, 1866, 607, 513, 12343, 269, 5221, 540, 519, 1259, 25469, 616, 3989, 538, 2486, 267, 1114, 25469, 616, 12595, 811, 610, 1447, 269, 901, 267, 5916, 609, 519, 1249, 602, 9039, 540, 721, 666, 9101, 938, 865, 268, 524, 658, 1436, 267, 5012, 547, 519, 3586, 10419, 6672, 540, 519, 4008, 15796, 676, 3025, 269, 5272, 4008, 6818, 693, 606, 10167, 540, 1016, 24503, 730, 543, 1016, 24503, 1807, 269, 10395, 5209, 540, 4008, 267, 5198, 267, 1098, 268, 1145, 11305, 529, 268, 1145, 267, 543, 513, 16221, 540, 824, 2188, 1711, 1641, 1790, 657, 1431, 1369, 799, 621, 568, 1064, 268, 521, 1043, 547, 1312, 1727, 816, 543, 581, 31345, 269, 28762, 8944, 814, 2141, 8854, 1688, 2987, 11804, 609, 1852, 543, 28735, 269, 13834, 568, 3274, 1776, 25246, 540, 21712, 1852, 267, 540, 1514, 2112, 563, 4407, 930, 1118, 7569, 540, 2486, 547, 13918, 267, 2463, 610, 1256, 3160, 1125, 25469, 267, 649, 1590, 1413, 3564, 4008, 7862, 543, 4008, 10014, 543, 6861, 3388, 602, 10419, 340, 919, 610, 791, 4680, 4008, 269, 1284, 1590, 2490, 1996, 2486, 3294, 269, 13834, 568, 513, 2112, 1996, 782, 540, 721, 267, 543, 585, 1346, 945, 7287, 5191, 267, 4986, 2110, 540, 519, 2698, 16701, 1709, 540, 4008, 786, 3411, 823, 269, 1677, 1346, 540, 721, 945, 6999, 547, 4894, 782, 519, 6821, 1063, 1142, 824, 3079, 540, 1373, 9813, 730, 689, 1142, 824, 630, 663, 6000, 264, 1317, 540, 1895, 902, 649, 2760, 8359, 267, 547, 1346, 540, 721, 602, 6999, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 476, 274, 476, 275, 7484, 666, 581, 3533, 1232, 760, 22363, 676, 16734, 602, 476, 274, 270, 275, 540, 513, 7484, 11224, 476, 277, 5714, 13728, 267, 543, 4061, 11224, 476, 1321, 26486, 780, 11101, 267, 5714, 13728, 543, 11680, 616, 2565, 4559, 538, 772, 2529, 269, 22232, 4559, 543, 3703, 11440, 4559, 269, 2755, 7893, 3819, 5820, 971, 607, 7912, 267, 513, 7484, 540, 7912, 568, 1114, 689, 513, 7484, 540, 5277, 12146, 269, 2776, 322, 1047, 24740, 267, 538, 713, 2013, 267, 2628, 1055, 538, 519, 1279, 2196, 547, 2327, 632, 937, 762, 2164, 780, 1012, 23959, 585, 6452, 23847, 12763, 906, 692, 2691, 621, 2501, 547, 5986, 610, 11256, 693, 1753, 267, 596, 786, 2693, 7237, 8795, 4559, 540, 7403, 1765, 22336, 2251, 689, 18324, 9398, 543, 26486, 547, 13728, 543, 11680, 269, 1703, 616, 1256, 2053, 950, 1919, 1205, 7745, 1524, 883, 8454, 267, 899, 476, 272, 270, 275, 267, 476, 272, 270, 273, 267, 543, 476, 274, 270, 275, 7484, 269, 1809, 1210, 513, 2241, 7503, 3349, 666, 1683, 4977, 7403, 547, 2268, 476, 274, 476, 275, 11680, 3362, 780, 8855, 602, 519, 1883, 547, 562, 9430, 1022, 11600, 568, 4180, 602, 596, 2461, 8308, 1739, 519, 7403, 621, 12134, 585, 269, 1656, 950, 621, 2501, 547, 7893, 26486, 883, 8454, 540, 513, 7484, 267, 621, 2337, 547, 3314, 602, 2185, 26486, 1118, 513, 10116, 7484, 267, 5216, 26486, 1118, 513, 3368, 7484, 267, 543, 18867, 267, 513, 7484, 11224, 476, 1321, 26486, 780, 1012, 634, 3026, 947, 640, 540, 1975, 3019, 543, 19067, 12763, 906, 692, 763, 2243, 540, 1946, 22635, 543, 7484, 7403, 616, 865, 2565, 4422, 1394, 547, 519, 9759, 540, 11477, 6575, 269, 2776, 322, 1047, 6482, 540, 5820, 5849, 602, 649, 3035, 519, 5551, 6492, 267, 9403, 267, 543, 5920, 267, 7713, 1946, 519, 13214, 875, 1082, 26486, 616, 538, 476, 274, 270, 275, 7484, 568, 865, 4749, 22646, 676, 1753, 22730, 543, 11256, 12439, 7567, 780, 3383, 519, 1985, 942, 707, 11600, 7125, 585, 1614, 20453, 540, 513, 7484, 596, 26270, 3362, 581, 2111, 547, 6460, 621, 883, 26486, 269, 9861, 2111, 547, 24847, 6460, 476, 274, 476, 275, 7484, 883, 26486, 630, 663, 13030, 17930, 264, 2636, 585, 811, 8112, 950, 7893, 5820, 543, 5849, 11600, 1967, 780, 1012, 10390, 281, 1215, 3509, 23959, 335, 9398, 616, 538, 476, 274, 270, 275, 19067, 692, 4263, 519, 1439, 540, 938, 11477, 3408, 267, 1577, 779, 30603, 519, 2243, 602, 814, 4547, 721, 782, 1934, 1107, 875, 1082, 26486, 568, 476, 274, 476, 275, 7484, 286, 4270, 267, 519, 2241, 543, 24080, 6444, 2626, 568, 602, 513, 476, 274, 270, 275, 7484, 11224, 476, 1321, 26486, 269, 901, 7503, 568, 3407, 547, 1832, 538, 2247, 267, 1100, 2339, 2436, 596, 2461, 513, 19023, 27697, 267, 513, 5462, 1753, 536, 6033, 267, 610, 513, 11477, 1007, 29560, 780, 8855, 267, 8856, 568, 519, 5728, 12146, 602, 21810, 8723, 6980, 883, 2283, 1049, 11477, 13144, 269, 1924, 1832, 602, 29537, 13561, 543, 6126, 5986, 2439, 2162, 1215, 1082, 26486, 3160, 476, 274, 270, 275, 7484, 2496, 23562, 10679, 26486, 3160, 476, 274, 270, 275, 7484, 780, 2162, 1548, 1281, 513, 27847, 7484, 1871, 5815, 2496, 288, 27847, 7484, 1871, 899, 476, 274, 270, 275, 4016, 547, 1614, 6709, 11467, 540, 513, 2407, 7484, 780, 2162, 3657, 29537, 7403, 543, 7484, 7403, 1114, 950, 7893, 3819, 543, 5277, 5820, 2496, 8133, 267, 26486, 543, 7484, 7403, 666, 8428, 950, 7893, 3819, 5820, 267, 899, 513, 7484, 540, 7912, 267, 543, 5277, 5820, 780, 2162, 1215, 1082, 5714, 13728, 1281, 476, 274, 270, 275, 7484, 3160, 2496, 274, 270, 275, 7484, 11224, 476, 277, 5714, 13728, 780, 2162, 1403, 513, 11600, 12134, 585, 476, 274, 270, 275, 7484, 540, 7912, 267, 875, 1082, 26486, 1131, 602, 581, 2496, 6546, 1131, 581, 476, 1321, 26486, 540, 7912, 780, 2162, 6496, 476, 1626, 26486, 3160, 476, 274, 270, 275, 7484, 2496, 5591, 269, 476, 1626, 26486, 3160, 476, 272, 2407, 7484, 269, 769, 4334, 267, 476, 274, 270, 275, 7484, 568, 6697, 547, 476, 1321, 26486, 780, 2162, 6496, 476, 272, 270, 275, 7484, 3160, 476, 1321, 26486, 585, 3819, 607, 1134, 607, 5277, 5820, 2496, 5591, 269, 476, 272, 270, 275, 7484, 11224, 476, 275, 26486, 269, 1280, 1312, 3819, 543, 5277, 5820, 267, 476, 274, 270, 275, 7484, 11224, 476, 1321, 26486, 780, 2162, 4208, 616, 5730, 7403, 2838, 1247, 5986, 610, 11256, 2496, 7093, 322, 1047, 7403, 2327, 519, 1318, 3666, 540, 5820, 267, 4611, 538, 3501, 6492, 267, 9403, 267, 543, 5920, 780, 2162, 1215, 1082, 26486, 616, 972, 538, 476, 272, 7484, 2496, 2467, 616, 476, 1626, 26486, 538, 476, 272, 7484, 780, 2162, 2052, 594, 946, 1250, 7622, 838, 9398, 547, 2268, 26486, 538, 513, 11600, 2496, 2690, 519, 1655, 2164, 267, 946, 7893, 838, 9398, 269, 5600, 3835, 838, 9398, 949, 711, 1683, 4977, 7403, 780, 18704, 281, 0, 258, 476, 1220, 276, 7537, 290, 476, 1015, 288, 10819, 270, 19370, 476, 1839, 692, 1012, 9046, 692, 1103, 1269, 27398, 259, 649, 723, 1269, 5723, 815, 476, 1839, 8961, 1269, 6195, 815, 476, 4375, 8961, 543, 1269, 3722, 284, 5655, 10608, 18745, 1269, 291, 259, 543, 1269, 292, 259, 616, 593, 1269, 5723, 259, 543, 1269, 3722, 259, 6606, 267, 609, 1269, 4696, 815, 476, 866, 259, 543, 1269, 20067, 815, 476, 1691, 10608, 1548, 568, 519, 5223, 540, 519, 1858, 540, 6906, 1269, 32767, 259, 547, 519, 1858, 540, 519, 29105, 1269, 6195, 3633, 259, 2496, 7445, 3667, 8578, 18950, 288, 264, 7684, 1422, 2765, 346, 29214, 2410, 13923, 272, 4153, 29911, 1422, 3667, 8578, 18950, 289, 264, 7684, 1422, 2765, 346, 866, 2410, 4037, 4153, 29911, 1422, 3667, 8578, 18950, 290, 264, 476, 4153, 2765, 346, 272, 2410, 274, 4153, 29911, 1422, 3667, 8578, 18950, 291, 264, 7684, 1422, 2765, 346, 866, 2410, 6321, 4153, 29911, 1422, 3667, 8578, 18950, 292, 264, 7684, 476, 272, 6911, 1012, 8827, 476, 272, 692, 2171, 723, 6695, 2765, 346, 314, 32767, 316, 2410, 314, 27398, 316, 348, 815, 1422, 2765, 346, 4696, 2410, 5723, 348, 1422, 10383, 1422, 2765, 346, 20067, 2410, 3722, 348, 815, 1422, 2765, 346, 866, 2410, 1839, 348, 1422, 10383, 1422, 2765, 346, 1691, 2410, 5655, 348, 815, 1422, 2765, 346, 866, 2410, 4037, 20467, 9681, 259, 314, 6470, 316, 4559, 1125, 263, 271, 269, 1428, 4699, 5148, 6292, 589, 267, 645, 267, 595, 267, 667, 267, 661, 282, 589, 815, 630, 4489, 270, 4375, 267, 2764, 265, 6912, 263, 14138, 277, 8358, 4375, 5148, 645, 815, 630, 271, 267, 271, 5148, 595, 815, 630, 4375, 267, 271, 5148, 667, 815, 630, 277, 265, 288, 1341, 476, 866, 265, 289, 8358, 1839, 282, 661, 815, 630, 2764, 265, 288, 1341, 476, 1691, 265, 290, 8358, 5655, 282, 2721, 10490, 734, 289, 734, 290, 734, 12860, 5148, 2721, 20573, 734, 292, 5148, 6003, 2891, 288, 2580, 589, 267, 715, 5148, 6003, 2891, 289, 2580, 645, 267, 17335, 5148, 6003, 2891, 290, 2580, 595, 267, 10323, 5148, 6003, 2891, 291, 2580, 667, 267, 654, 5148, 6003, 2891, 292, 2580, 661, 267, 17252, 5148, 6003, 2891, 866, 2580, 630, 288, 1341, 667, 8358, 273, 267, 654, 5148, 6003, 2891, 277, 2580, 630, 289, 1341, 667, 8358, 273, 267, 654, 5148, 6003, 2891, 1691, 2580, 630, 288, 1341, 661, 8358, 273, 267, 17252, 5148, 6003, 2891, 2764, 2580, 630, 290, 1341, 661, 8358, 273, 267, 17252, 5148, 1496, 270, 6470, 316, 6911, 3719, 1269, 314, 6195, 3633, 316, 815, 1496, 27398, 316, 910, 1496, 32767, 316, 8961, 865, 1422, 8218, 9387, 15857, 1422, 2765, 346, 314, 32767, 316, 2410, 314, 6195, 3633, 316, 348, 17851, 1422, 2765, 346, 314, 32767, 316, 2410, 314, 27398, 316, 910, 1496, 32767, 316, 348, 8607, 17851, 1422, 2765, 346, 272, 7346, 2765, 346, 27398, 2410, 32767, 348, 910, 476, 272, 348, 8607, 17851, 1422, 2765, 346, 272, 7346, 2765, 346, 4037, 2410, 866, 348, 910, 476, 272, 348, 8607, 17851, 1422, 7901, 539, 3189, 3667, 8578, 18950, 291, 264, 476, 4153, 2765, 346, 866, 2410, 6321, 3686, 269, 1422, 754, 9387, 265, 10926, 9616, 281, 1403, 621, 568, 2182, 547, 1174, 1946, 6695, 2765, 346, 314, 32767, 316, 2410, 314, 27398, 316, 348, 815, 1422, 2765, 346, 4696, 2410, 5723, 348, 1422, 10383, 1422, 2765, 346, 20067, 2410, 3722, 6525, 267, 596, 666, 946, 519, 1249, 602, 519, 1858, 540, 513, 6906, 11224, 4399, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 705, 1422, 10383, 1422, 7562, 18154, 30879, 1403, 5086, 1269, 6395, 292, 815, 2098, 8961, 649, 723, 602, 6695, 2765, 346, 314, 32767, 316, 2410, 314, 27398, 316, 348, 815, 1422, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 476, 866, 1422, 10383, 476, 1691, 1422, 10383, 1422, 7562, 263, 313, 264, 7346, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 476, 1839, 1422, 10383, 476, 5655, 1422, 10383, 1422, 7562, 263, 313, 14587, 815, 1422, 2765, 346, 866, 1422, 10383, 476, 1691, 2410, 1839, 1422, 10383, 476, 5655, 348, 815, 1422, 2765, 346, 629, 2410, 7251, 6525, 780, 1012, 11473, 8827, 692, 290, 4047, 290, 298, 744, 7473, 11473, 8827, 281, 4179, 2517, 344, 719, 340, 269, 2041, 270, 309, 311, 344, 302, 297, 310, 322, 7032, 876, 692, 1012, 8827, 476, 273, 630, 7224, 4645, 2020, 259, 314, 6470, 316, 4559, 1125, 263, 271, 269, 1428, 4699, 5148, 6292, 589, 267, 645, 267, 595, 267, 667, 267, 661, 282, 589, 815, 630, 4489, 270, 4375, 267, 2764, 265, 6912, 263, 14138, 277, 8358, 4375, 5148, 645, 815, 630, 271, 267, 271, 5148, 595, 815, 630, 4375, 267, 271, 5148, 667, 815, 630, 277, 265, 288, 1341, 476, 866, 265, 289, 8358, 1839, 282, 661, 815, 630, 2764, 265, 288, 1341, 476, 1691, 265, 290, 8358, 5655, 282, 2721, 10490, 734, 289, 734, 290, 734, 12860, 5148, 2721, 20573, 734, 292, 5148, 6003, 2891, 288, 2580, 589, 267, 715, 5148, 6003, 2891, 289, 2580, 645, 267, 17335, 5148, 6003, 2891, 290, 2580, 595, 267, 10323, 5148, 6003, 2891, 291, 2580, 667, 267, 654, 5148, 6003, 2891, 292, 2580, 661, 267, 17252, 5148, 6003, 2891, 866, 2580, 630, 288, 1341, 667, 8358, 273, 267, 654, 5148, 6003, 2891, 277, 2580, 630, 289, 1341, 667, 8358, 273, 267, 654, 5148, 6003, 2891, 1691, 2580, 630, 288, 1341, 661, 8358, 273, 267, 17252, 5148, 6003, 2891, 2764, 2580, 630, 290, 1341, 661, 8358, 273, 267, 17252, 5148, 1496, 270, 6470, 316, 6911, 2171, 666, 1577, 1269, 314, 32767, 24557, 343, 10608, 4595, 1269, 4488, 284, 273, 1422, 10383, 661, 288, 8961, 1269, 314, 291, 4488, 24557, 273, 343, 10608, 1924, 267, 1269, 314, 4696, 290, 24557, 274, 343, 10608, 901, 1797, 602, 1269, 314, 9720, 290, 316, 7807, 2765, 346, 277, 2410, 866, 4153, 10383, 274, 343, 7807, 2765, 346, 1240, 343, 2410, 866, 23201, 4935, 267, 4399, 2765, 346, 314, 32767, 316, 2410, 314, 6195, 3633, 316, 348, 815, 1422, 2765, 12757, 7346, 2765, 346, 1240, 343, 2410, 866, 15396, 273, 343, 13157, 1422, 7901, 539, 3189, 3667, 8578, 18950, 291, 264, 476, 4153, 2765, 346, 866, 2410, 6321, 3686, 269, 6911, 268, 3519, 656, 342, 714, 1708, 274, 692, 1012, 8827, 476, 274, 630, 339, 3419, 2020, 763, 1858, 540, 513, 6906, 568, 4399, 2765, 346, 272, 2410, 273, 348, 27652, 315, 7562, 589, 16859, 8794, 713, 4542, 1384, 259, 314, 32767, 316, 7807, 2765, 346, 272, 2410, 273, 4153, 10383, 866, 24206, 1691, 24206, 315, 7562, 589, 815, 476, 15836, 315, 7562, 589, 6911, 259, 314, 27398, 316, 7807, 2765, 346, 272, 2410, 273, 4153, 10383, 1839, 24206, 5655, 24206, 315, 7562, 589, 815, 476, 30589, 315, 7562, 589, 6911, 7712, 519, 1858, 540, 1269, 6195, 3633, 259, 568, 3160, 547, 519, 1858, 540, 1269, 27398, 259, 14263, 519, 1858, 540, 1269, 32767, 8961, 692, 259, 314, 6195, 3633, 316, 815, 476, 30589, 315, 7562, 589, 910, 476, 15836, 315, 7562, 589, 815, 476, 4375, 273, 315, 7562, 589, 16859, 11997, 267, 519, 5551, 5223, 568, 4399, 2765, 346, 15836, 315, 7562, 589, 2410, 4375, 273, 315, 7562, 589, 18098, 7901, 539, 3189, 3667, 8578, 18950, 291, 264, 476, 4153, 2765, 346, 866, 2410, 6321, 32556, 9616, 281, 1269, 6195, 284, 4375, 259, 729, 711, 1031, 538, 713, 1966, 780, 1012, 8827, 476, 275, 692, 4131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14293, 627, 2718, 13497, 4389, 519, 11606, 540, 1390, 16385, 1765, 2421, 693, 2547, 476, 5780, 2600, 543, 5310, 607, 1164, 607, 476, 3445, 2600, 267, 2687, 547, 930, 9193, 28559, 6051, 568, 2009, 267, 543, 5732, 2565, 585, 5836, 30840, 563, 16449, 741, 1082, 8733, 3252, 267, 16385, 22120, 5567, 543, 3986, 3119, 7607, 267, 12725, 543, 593, 513, 6237, 4336, 269, 1733, 2297, 3575, 519, 1216, 6241, 267, 543, 1310, 8023, 693, 3178, 267, 5305, 2627, 726, 6979, 540, 32740, 1570, 269, 901, 968, 3369, 1446, 6802, 892, 7727, 4401, 543, 9436, 1765, 24207, 569, 18168, 23121, 3119, 12696, 538, 519, 2627, 5836, 269, 4329, 267, 519, 4955, 5928, 540, 536, 1446, 523, 16385, 1063, 3810, 11327, 267, 1164, 2000, 520, 3363, 8023, 543, 1970, 2000, 520, 3363, 1608, 1324, 12406, 616, 1851, 519, 13074, 5993, 5322, 540, 11864, 269, 1635, 17509, 538, 891, 5162, 1608, 1324, 12406, 2282, 519, 20337, 267, 1208, 335, 3724, 16385, 267, 585, 1383, 267, 5305, 9436, 538, 519, 1106, 540, 579, 16699, 883, 26483, 8770, 1790, 3233, 2127, 1765, 10520, 1636, 532, 5567, 5176, 476, 1015, 267, 1822, 12919, 593, 519, 968, 24030, 17962, 23740, 12966, 3034, 15919, 267, 5010, 29940, 723, 2938, 16385, 607, 6735, 269, 1809, 713, 1007, 1957, 26564, 513, 2178, 1560, 540, 2963, 602, 6920, 519, 6587, 666, 581, 3020, 281, 17962, 6051, 968, 322, 746, 1291, 547, 2362, 3928, 540, 7607, 538, 6753, 1141, 16385, 14919, 547, 3049, 543, 2285, 4332, 2223, 5885, 811, 7347, 21996, 563, 2662, 2297, 267, 607, 835, 540, 519, 3476, 24331, 2249, 538, 7286, 1949, 267, 666, 8897, 519, 1764, 540, 32677, 725, 538, 2916, 267, 32456, 543, 7607, 269, 634, 4797, 6051, 540, 1390, 16385, 949, 948, 17280, 7286, 8134, 689, 3186, 8494, 1944, 17613, 543, 1223, 1291, 547, 2362, 3928, 540, 7607, 538, 6753, 1141, 16385, 14919, 547, 3049, 543, 2285, 4332, 563, 4517, 950, 789, 5884, 267, 1082, 17962, 1286, 322, 13293, 16173, 547, 4158, 17909, 540, 519, 5836, 1765, 23437, 1853, 532, 7372, 20512, 540, 5214, 1570, 547, 513, 7706, 602, 568, 3335, 8770, 543, 1648, 791, 1478, 1639, 269, 589, 476, 2412, 268, 2023, 12457, 17962, 267, 585, 1383, 267, 2488, 811, 982, 476, 273, 267, 1822, 2053, 519, 4282, 3327, 13441, 602, 1131, 3335, 4764, 1524, 593, 519, 1858, 5817, 519, 1286, 322, 817, 538, 606, 3003, 1032, 563, 2108, 2662, 2297, 2408, 547, 22426, 513, 7463, 24194, 540, 2831, 538, 519, 2620, 4262, 267, 609, 1082, 2249, 8506, 17962, 8813, 547, 2347, 741, 1272, 9979, 543, 6414, 538, 519, 5836, 2223, 1767, 30621, 8055, 267, 1071, 27236, 543, 7909, 2762, 7905, 693, 519, 2160, 540, 11316, 8072, 328, 693, 631, 5953, 7224, 320, 269, 968, 2691, 16385, 941, 6569, 689, 519, 5836, 676, 627, 531, 619, 267, 891, 17962, 1922, 718, 12665, 4503, 741, 1898, 7226, 3034, 2108, 5978, 3631, 1397, 602, 519, 9998, 1480, 27351, 4310, 970, 18728, 538, 519, 4262, 949, 723, 1044, 17962, 2887, 29068, 267, 2249, 602, 7960, 14624, 547, 2661, 593, 17962, 8813, 2223, 2687, 547, 8055, 269, 968, 2026, 513, 1267, 540, 476, 272, 267, 1822, 1296, 540, 627, 2718, 676, 3425, 267, 1082, 540, 891, 17962, 1922, 718, 2249, 949, 723, 20374, 1354, 649, 1185, 513, 4960, 547, 3605, 873, 3034, 8269, 22162, 593, 519, 2487, 10282, 540, 1239, 267, 4936, 7150, 267, 968, 1607, 11562, 1218, 513, 6521, 538, 2070, 689, 16385, 1373, 9797, 12595, 607, 7518, 3386, 5370, 29932, 11874, 12595, 1317, 789, 14526, 609, 1004, 585, 7286, 3165, 23121, 835, 1018, 17767, 602, 891, 2831, 1404, 1883, 5107, 538, 2635, 7286, 8134, 267, 3246, 2533, 547, 1480, 7239, 3034, 288, 28575, 547, 516, 998, 513, 2749, 5087, 540, 27257, 267, 17665, 267, 11728, 3781, 267, 11318, 835, 1268, 543, 3614, 1005, 693, 2547, 476, 1789, 563, 268, 570, 1941, 29777, 543, 8693, 7827, 281, 1548, 6496, 519, 3163, 17166, 3267, 20064, 268, 570, 1941, 29777, 12231, 1133, 17141, 22453, 4210, 23411, 540, 772, 2529, 1421, 1325, 9879, 8693, 3267, 20064, 268, 476, 2537, 16458, 607, 570, 1941, 5964, 623, 17026, 1564, 10557, 6019, 267, 9338, 538, 4329, 6178, 3267, 20064, 292, 1723, 19400, 11545, 5240, 12072, 454, 3528, 6424, 23951, 529, 5652, 454, 4002, 1010, 1101, 1554, 538, 5604, 5518, 15608, 24068, 3323, 19142, 10324, 9753, 547, 9258, 11686, 7245, 4507, 269, 2290, 27789, 1463, 633, 7125, 585, 6793, 2962, 547, 2149, 1857, 1072, 543, 519, 1604, 543, 3180, 12376, 619, 18177, 267, 1519, 1346, 945, 834, 4134, 2889, 15251, 2299, 2800, 2950, 540, 2681, 543, 1970, 13867, 2950, 4799, 28061, 590, 269, 3204, 534, 267, 5518, 24068, 781, 9930, 710, 324, 547, 1291, 519, 772, 2529, 269, 7025, 10466, 10837, 267, 8057, 909, 2282, 513, 5755, 1532, 9506, 1379, 2030, 538, 3345, 10491, 543, 814, 26823, 3022, 547, 834, 523, 716, 606, 2825, 5126, 5943, 602, 16877, 1004, 538, 782, 2950, 1701, 715, 7374, 292, 304, 454, 268, 7797, 7984, 2471, 24068, 547, 681, 27654, 11686, 781, 7025, 24305, 10587, 20064, 268, 2475, 7025, 10466, 10837, 630, 292, 5183, 264, 20064, 268, 24068, 781, 16501, 17292, 7812, 3204, 534, 7984, 3022, 547, 17372, 7025, 3267, 20064, 268, 24068, 674, 2167, 16242, 547, 570, 871, 548, 1412, 4462, 325, 24962, 262, 24768, 17904, 26317, 3267, 20064, 3528, 918, 15811, 918, 11448, 328, 454, 28733, 24408, 1154, 513, 4104, 568, 5266, 2653, 1765, 3286, 4584, 513, 3529, 543, 1376, 14299, 4771, 269, 1809, 972, 616, 2640, 547, 811, 10427, 4104, 2359, 269, 2290, 4480, 30147, 3322, 14578, 16276, 4130, 4054, 1169, 476, 1789, 610, 865, 1296, 855, 6028, 606, 5580, 1650, 540, 3677, 4054, 585, 3476, 5712, 630, 2568, 267, 476, 3445, 267, 610, 476, 6344, 1296, 28931, 839, 999, 513, 11931, 3761, 540, 1312, 3595, 6229, 543, 4070, 16025, 563, 288, 23694, 538, 519, 681, 902, 283, 335, 285, 763, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 1890, 743, 31638, 2593, 4882, 7220, 7933, 17152, 2389, 1127, 4768, 4926, 1790, 1112, 999, 7146, 1790, 816, 3146, 548, 1162, 11305, 31463, 823, 268, 1056, 1841, 268, 271, 257, 3077, 6889, 318, 29734, 22969, 19817, 335, 823, 2914, 603, 268, 1056, 1841, 9572, 320, 285, 2359, 2259, 7472, 513, 1079, 3613, 800, 4104, 267, 1767, 2999, 320, 27430, 6889, 10059, 2517, 4178, 18622, 14142, 22017, 14492, 24579, 12803, 20324, 1716, 14551, 318, 300, 340, 24513, 257, 3077, 6889, 318, 29734, 22969, 289, 1716, 14551, 16334, 24513, 9572, 320, 285, 267, 513, 27765, 549, 11388, 6048, 693, 519, 2160, 540, 6154, 756, 4026, 538, 5125, 269, 834, 2791, 723, 606, 5580, 1650, 540, 2582, 4054, 602, 616, 4847, 547, 1332, 585, 1896, 896, 32143, 5481, 1701, 9572, 335, 12481, 335, 285, 6546, 11460, 791, 29251, 513, 8984, 3529, 8258, 4806, 538, 513, 4104, 781, 5580, 1650, 4054, 630, 1492, 834, 1056, 1841, 257, 2567, 5394, 14034, 22566, 540, 5230, 2208, 267, 799, 1397, 909, 693, 2834, 11996, 607, 519, 4478, 4130, 4054, 616, 2759, 1524, 269, 834, 763, 4054, 616, 3395, 5488, 2437, 1767, 16334, 24513, 269, 834, 2791, 666, 2731, 1294, 621, 609, 707, 21736, 3750, 1701, 9572, 335, 12481, 335, 285, 300, 340, 24513, 543, 1010, 3523, 2209, 6353, 602, 2999, 320, 27430, 6889, 10059, 2517, 2741, 31014, 30784, 714, 7431, 12975, 270, 12671, 14121, 516, 518, 902, 257, 3077, 6889, 318, 29734, 22969, 323, 754, 549, 11388, 1670, 4806, 9572, 320, 285, 538, 476, 14065, 18073, 4054, 3395, 538, 3844, 5125, 267, 835, 540, 519, 1906, 6967, 4609, 538, 2342, 609, 8362, 7307, 2941, 335, 823, 2914, 603, 268, 1056, 1841, 7733, 269, 1358, 1336, 909, 547, 8370, 9979, 540, 5230, 2208, 538, 519, 4054, 267, 519, 9510, 540, 799, 729, 12630, 538, 476, 12293, 272, 269, 634, 3173, 1287, 5828, 547, 513, 3140, 1239, 1305, 2443, 811, 982, 476, 273, 267, 1822, 18073, 2999, 320, 27430, 6889, 10059, 2517, 324, 657, 3820, 270, 14895, 9706, 617, 4751, 1673, 4593, 1478, 532, 3887, 1755, 6647, 3620, 626, 800, 28443, 268, 1080, 2389, 574, 1499, 257, 3077, 6889, 318, 29734, 257, 882, 6889, 7224, 641, 10273, 562, 648, 2536, 17243, 22969, 339, 574, 1499, 689, 5656, 543, 15456, 4609, 9572, 320, 285, 538, 5125, 543, 5333, 6580, 689, 1063, 476, 4968, 543, 476, 1001, 276, 2443, 547, 1413, 585, 513, 2147, 4806, 27135, 335, 11417, 288, 29361, 540, 476, 4335, 13012, 283, 335, 285, 763, 2319, 1336, 3574, 609, 519, 8984, 2941, 335, 823, 2914, 603, 268, 1056, 1841, 3529, 8258, 4806, 6580, 547, 607, 2038, 607, 519, 476, 277, 628, 2540, 269, 2334, 729, 513, 9983, 267, 16334, 24513, 543, 1010, 9164, 11943, 267, 1317, 519, 1101, 2446, 540, 713, 4104, 2359, 2259, 538, 3140, 6054, 7018, 1152, 10199, 476, 4335, 1296, 2663, 267, 538, 519, 476, 1724, 628, 2540, 27135, 335, 12481, 335, 285, 2005, 781, 21483, 602, 4104, 2359, 2853, 941, 711, 1134, 13006, 1991, 547, 519, 4400, 5664, 12698, 630, 1911, 271, 1700, 10219, 271, 1070, 519, 3173, 6700, 269, 834, 20288, 7370, 616, 5631, 5018, 538, 519, 2796, 540, 10424, 10122, 4690, 610, 23190, 2437, 1767, 16334, 24513, 269, 667, 754, 549, 11388, 1670, 2090, 616, 3226, 1271, 1317, 789, 666, 7866, 1344, 711, 9676, 676, 513, 23661, 3140, 2594, 267, 646, 3773, 27135, 335, 12481, 335, 285, 4322, 2164, 941, 2999, 320, 27430, 6889, 10059, 2517, 4178, 8542, 1155, 2593, 270, 14895, 4882, 25870, 7176, 268, 22903, 268, 4281, 280, 3451, 268, 279, 257, 3077, 6889, 318, 29734, 22969, 335, 21242, 538, 5412, 538, 2999, 655, 285, 26199, 18614, 9572, 655, 20565, 320, 20101, 9572, 335, 12481, 335, 285, 257, 2005, 781, 8799, 547, 1294, 519, 15325, 543, 519, 1686, 540, 2941, 335, 823, 2914, 603, 268, 1056, 1841, 2437, 1767, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 974, 698, 2444, 269, 773, 270, 4186, 716, 23995, 3530, 1673, 1311, 800, 4882, 270, 1014, 6879, 677, 270, 257, 3077, 6889, 318, 29734, 22969, 296, 534, 10374, 9572, 320, 285, 267, 513, 26216, 11001, 693, 1855, 698, 2444, 267, 519, 11982, 543, 5253, 4886, 16958, 538, 8581, 267, 711, 3238, 538, 519, 1382, 269, 901, 4480, 568, 3407, 1317, 621, 8992, 5726, 543, 7226, 9265, 267, 10374, 1767, 269, 834, 1103, 519, 1985, 476, 1015, 610, 476, 736, 1296, 267, 594, 1589, 649, 3513, 1294, 811, 2941, 335, 823, 2914, 603, 268, 1056, 1841, 4947, 1394, 883, 2504, 1701, 9572, 335, 12481, 335, 285, 1103, 519, 2104, 267, 16334, 24513, 543, 1010, 3523, 2209, 4126, 547, 5659, 513, 3677, 3732, 540, 8978, 4626, 1499, 547, 10250, 875, 519, 2941, 335, 823, 2914, 603, 268, 1056, 1841, 2259, 3262, 2429, 2342, 269, 898, 786, 581, 4277, 547, 1174, 1141, 713, 4480, 12090, 543, 875, 621, 9070, 730, 267, 1767, 16334, 24513, 267, 543, 972, 616, 7899, 540, 2025, 4773, 540, 3574, 7996, 547, 581, 9916, 269, 834, 2467, 1496, 732, 316, 9748, 540, 27765, 549, 11388, 1670, 1239, 1701, 9572, 335, 12481, 335, 12481, 655, 12481, 320, 27430, 6889, 21166, 1729, 281, 16942, 11333, 2593, 257, 3077, 6889, 318, 29734, 257, 882, 6889, 7224, 641, 10273, 562, 648, 2536, 17243, 22969, 298, 15811, 918, 11448, 328, 9572, 320, 285, 568, 513, 28479, 766, 2257, 19784, 8720, 3047, 543, 2230, 2257, 269, 4173, 676, 6050, 4749, 2408, 538, 661, 657, 267, 3163, 267, 543, 634, 1715, 3840, 8648, 269, 918, 15811, 6585, 513, 1912, 6185, 269, 538, 17651, 689, 519, 2160, 540, 4993, 267, 11968, 13353, 27135, 655, 20565, 335, 12481, 335, 12481, 655, 285, 1607, 1650, 8385, 7902, 538, 2999, 320, 27430, 6889, 10059, 2517, 324, 657, 3820, 270, 14895, 14121, 872, 8573, 902, 3146, 557, 531, 24376, 12845, 2615, 268, 28014, 2914, 699, 17907, 3042, 257, 3077, 6889, 318, 29734, 22969, 292, 657, 9572, 320, 20565, 655, 285, 2999, 655, 285, 663, 568, 1065, 21242, 1934, 607, 851, 540, 15147, 532, 8693, 3767, 267, 513, 2518, 19761, 5698, 14304, 3795, 540, 519, 2916, 1650, 27135, 655, 20565, 335, 11417, 24618, 781, 4672, 568, 13621, 476, 6872, 2600, 5488, 982, 538, 519, 476, 1960, 271, 338, 543, 519, 1158, 814, 4503, 811, 982, 476, 2764, 18265, 9748, 540, 4672, 2094, 476, 1960, 275, 267, 1382, 3370, 11728, 538, 634, 595, 787, 14459, 2982, 563, 3528, 4035, 601, 2605, 6471, 454, 301, 648, 523, 715, 2317, 345, 2729, 538, 513, 1647, 11665, 8378, 602, 14380, 909, 513, 15113, 728, 538, 2558, 514, 21059, 781, 20658, 777, 10044, 6261, 3511 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 23094, 692, 9816, 4306, 815, 1412, 14096, 269, 271, 269, 271, 269, 272, 262, 476, 1948, 634, 7746, 781, 3984, 4067, 610, 7379, 2232, 454, 303, 18306, 815, 476, 11277, 5379, 1038, 1948, 634, 2823, 1031, 676, 519, 7746, 692, 2745, 3488, 21010, 532, 7817, 547, 4939, 338, 281, 260, 338, 262, 4939, 630, 9816, 4306, 267, 623, 18306, 4917, 5976, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 264, 607, 521, 912, 825, 521, 269, 6618, 9230, 9816, 4306, 267, 623, 18306, 11723, 825, 521, 4732, 754, 718, 6357, 262, 4067, 281, 338, 10235, 344, 282, 5073, 825, 1948, 4831, 815, 476, 271, 454, 825, 1948, 1247, 4831, 2999, 476, 272, 318, 1822, 318, 1822, 912, 825, 1948, 672, 20444, 326, 815, 1412, 916, 326, 281, 916, 326, 258, 24001, 282, 8339, 8971, 6262, 3300, 994, 825, 1948, 672, 536, 815, 25466, 263, 916, 326, 267, 834, 7473, 293, 268, 279, 5602, 825, 1948, 672, 521, 4732, 754, 718, 6357, 994, 825, 1948, 672, 4831, 6834, 476, 272, 692, 825, 521, 4732, 754, 718, 6357, 6415, 338, 326, 281, 31435, 689, 7817, 282, 5073, 825, 521, 4732, 754, 718, 6357, 6415, 338, 326, 3562, 12641, 1304, 281, 339, 1415, 320, 281, 31435, 274, 282, 5073, 825, 521, 4732, 754, 718, 6357, 262, 1410, 527, 281, 282, 5073, 825, 1239, 815, 521, 269, 13440, 341, 263, 9083, 275, 2020, 2745, 3488, 3725, 18727, 281, 22207, 1065, 337, 16597, 4917, 2745, 3488, 19226, 880, 7817, 593, 4939, 338, 281, 260, 338, 262, 4939, 630, 9816, 4306, 267, 623, 18306, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 19523, 267, 15259, 692, 3698, 544, 752, 601, 1077, 263, 1467, 2187, 825, 5727, 19764, 499, 12255, 16088, 24757, 21211, 28578, 27818, 28884, 27381, 510, 16088, 24757, 21211, 24724, 454, 825, 476, 16043, 375, 11210, 488, 22390, 353, 16088, 12530, 359, 11210, 373, 12530, 486, 263, 28884, 27381, 510, 16088, 24757, 21211, 24724, 454, 825, 476, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 23284, 14035, 500, 11210, 496, 30522, 353, 31308, 375, 7430, 501, 18998, 27962, 24757, 21211, 7430, 363, 16533, 493, 24757, 21211, 7430, 360, 14035, 487, 418, 493, 505, 7430, 501, 7430, 509, 12530, 359, 11210, 373, 12530, 486, 11210, 496, 30853, 29873, 454, 825, 8173, 825, 620, 13921, 626, 815, 11713, 825, 585, 562, 538, 1899, 912, 1038, 952, 562, 18994, 10401, 3890, 2652, 8771, 912, 2018, 3136, 454, 1038, 3116, 912, 19930, 620, 13921, 626, 6910, 3799, 994, 825, 1970, 10401, 815, 7183, 454, 825, 21229, 770, 2590, 815, 11713, 825, 585, 544, 538, 620, 13921, 626, 912, 1038, 952, 1193, 9852, 1040, 529, 12294, 3890, 2652, 8771, 912, 2018, 1970, 10401, 815, 1193, 9852, 1040, 12294, 4590, 1038, 3116, 912, 2018, 1970, 10401, 815, 544, 454, 1038, 21229, 770, 2590, 6910, 263, 869, 10401, 994, 825, 2132, 21229, 770, 2590, 692, 3698, 2638, 335, 836, 1090, 6025, 13759, 11415, 2187, 825, 5727, 19764, 499, 12255, 16088, 12530, 359, 11210, 373, 12530, 486, 27818, 28884, 27381, 510, 16088, 24757, 21211, 24724, 454, 11434, 476, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 28374, 418, 505, 372, 7430, 493, 24757, 21211, 7430, 490, 19764, 499, 12255, 7430, 360, 11858, 502, 21928, 7430, 503, 11210, 489, 7430, 489, 12530, 479, 11210, 356, 12530, 481, 11210, 363, 454, 11434, 476, 11858, 502, 21928, 7430, 501, 7430, 359, 7430, 482, 417, 510, 368, 12571, 486, 7430, 363, 24731, 20693, 505, 21382, 378, 420, 365, 350, 7430, 357, 7430, 503, 11210, 489, 454, 11434, 476, 7430, 503, 7430, 373, 7430, 355, 11858, 502, 21928, 7430, 503, 11210, 489, 417, 510, 368, 12571, 486, 7430, 363, 257, 14085, 257, 11210, 496, 23989, 419, 353, 374, 454, 825, 8173, 825, 9904, 815, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 7055, 825, 562, 641, 6974, 8217, 815, 11713, 825, 585, 737, 538, 1592, 263, 531, 8224, 2187, 1038, 952, 630, 330, 538, 3077, 11415, 264, 2652, 8771, 912, 2018, 562, 641, 6974, 8217, 6910, 17347, 994, 825, 952, 7003, 3799, 641, 6974, 8217, 264, 2652, 476, 271, 912, 1038, 1820, 3488, 301, 24535, 5073, 825, 3116, 912, 1038, 585, 561, 538, 562, 641, 6974, 8217, 314, 271, 281, 6352, 3799, 641, 6974, 8217, 9984, 272, 14158, 2018, 1820, 10857, 13211, 1038, 1820, 3799, 641, 6974, 8217, 314, 6352, 3799, 641, 6974, 8217, 9984, 272, 7481, 825, 2132, 692, 604, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 273, 912, 825, 1948, 19764, 499, 12255, 7430, 490, 11858, 502, 21928, 7430, 501, 7430, 359, 7430, 482, 417, 510, 368, 12571, 486, 454, 825, 1820, 3488, 921, 848, 1683, 1175, 835, 4661, 607, 513, 3758, 12949, 5073, 12828, 912, 825, 4164, 815, 19523, 27769, 341, 314, 272, 2639, 825, 952, 15259, 29624, 18994, 12803, 263, 12407, 264, 2652, 8771, 912, 825, 1948, 12530, 499, 11210, 350, 11210, 353, 12530, 360, 12530, 495, 11210, 373, 7430, 490, 21251, 27882, 352, 28374, 417, 510, 368, 12571, 486, 454, 1038, 1820, 3488, 257, 262, 1341, 4164, 1341, 1412, 257, 262, 1341, 1412, 568, 23380, 3758, 12949, 269, 5073, 825, 3116, 912, 1038, 2119, 912, 2018, 22485, 1467, 815, 11713, 2018, 3077, 18316, 815, 1930, 263, 12407, 994, 2018, 585, 1899, 538, 3077, 18316, 912, 3546, 22485, 1467, 815, 544, 752, 601, 1077, 263, 1467, 994, 3546, 2638, 335, 836, 1090, 263, 869, 1229, 1467, 994, 1038, 4849, 594, 302, 13286, 912, 2018, 1820, 3488, 325, 9229, 547, 1930, 262, 1341, 834, 262, 257, 1341, 4164, 1341, 1412, 257, 5073, 1038, 3116, 912, 2018, 3077, 18316, 25379, 4590, 0, 331, 815, 11713, 6112, 6936, 10778, 825, 1775, 815, 3403, 4590, 825, 952, 1775, 11203, 1412, 336, 262, 2433, 3097, 1038, 561, 6910, 263, 15615, 9217, 4917, 825, 3116, 2433, 2736, 454, 604, 7003, 10857, 264, 2652, 476, 271, 2433, 1820, 3488, 5591, 4578, 5073, 12828, 2433, 1820, 263, 1037, 4433, 636, 10857, 8358, 6352, 10857, 1070, 273, 4297, 0, 323, 815, 31460, 1721, 1775, 538, 2039, 17301, 9272, 3890, 15892, 825, 13797, 815, 3403, 14061, 20889, 4590, 825, 546, 314, 4512, 314, 271, 14963, 815, 13797, 314, 272, 281, 2639, 719, 815, 11713, 4512, 815, 1305, 9272, 14061, 20889, 15405, 1721, 1775, 538, 546, 281, 3097, 825, 952, 13797, 269, 1170, 889, 3553, 5560, 5157, 8079, 2433, 856, 6910, 8443, 328, 28504, 5157, 316, 7481, 604, 7003, 263, 719, 264, 2652, 476, 271, 10778, 825, 1820, 3488, 8253, 5853, 5073, 12828, 10778, 825, 585, 1775, 538, 15044, 263, 719, 2567, 1820, 9217, 314, 271, 3910, 328, 314, 272, 6012, 271, 3910, 328, 314, 272, 6012, 272, 3910, 328, 314, 272, 6012, 273, 8079, 0, 3698, 6487, 27562, 21726, 11971, 2187, 825, 2132, 586, 538, 681, 20572, 6540, 3698, 568, 318, 576, 30503, 27562, 21726, 2567, 1948, 2132, 6936, 952, 513, 568, 10302, 267, 6382, 2132, 8771, 454, 825, 1948, 2132, 8771, 952, 1535, 6487, 2576, 945, 568, 711, 1864, 17017, 1345, 454, 825, 1948, 2132, 8771, 952, 972, 6818, 2576, 538, 681, 945, 1810, 1405, 917, 1535, 454, 825, 1948, 6382, 2132, 6936, 454, 825, 585, 1883, 267, 328, 538, 681, 29096, 3890, 10778, 1038, 952, 1535, 711, 538, 1775, 543, 1883, 11203, 1535, 281, 2132, 8771, 454, 825, 952, 7003, 27562, 20572, 8079, 2652, 476, 272, 543, 1535, 538, 681, 20572, 316, 2433, 2132, 6936, 454, 825, 952, 7003, 27562, 20572, 8079, 3436, 476, 271, 2433, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 1265, 318, 576, 30503, 27562, 2187, 825, 1948, 585, 1142, 1268, 1535, 538, 519, 5428, 454, 825, 1948, 952, 1535, 568, 10302, 25341, 2132, 1535, 454, 825, 1948, 952, 1100, 10302, 538, 519, 5428, 25341, 2132, 7183, 454, 825, 585, 1775, 538, 681, 2433, 3097, 1038, 952, 568, 318, 576, 30503, 27562, 267, 328, 264, 2433, 2132, 1775, 8528, 3698, 1224, 318, 30447, 3890, 10778, 825, 1948, 1628, 513, 8675, 681, 689, 11378, 454, 825, 1948, 4171, 2497, 568, 3254, 538, 519, 1383, 454, 825, 681, 815, 9598, 4590, 825, 538, 335, 815, 3403, 14061, 20889, 4590, 825, 1247, 538, 335, 11203, 18358, 336, 11172, 912, 1038, 952, 538, 335, 314, 271, 316, 711, 538, 681, 2433, 681, 314, 514, 335, 314, 271, 14963, 815, 2715, 514, 335, 314, 271, 3910, 514, 335, 314, 272, 316, 8679, 1038, 3116, 2433, 681, 314, 514, 335, 314, 271, 316, 4940, 5417, 263, 514, 335, 314, 272, 7481, 1038, 952, 538, 335, 314, 272, 316, 711, 538, 681, 2433, 681, 314, 514, 335, 314, 272, 14963, 815, 2715, 514, 335, 314, 272, 316, 348, 3097, 1038, 538, 335, 815, 3403, 14061, 20889, 4590, 825, 2132, 681, 692, 3698, 1292, 10031, 825, 681, 815, 1224, 318, 30447, 4590, 825, 524, 815, 1265, 318, 576, 30503, 27562, 994, 825, 952, 524, 2652, 7183, 10778, 1038, 1820, 3488, 8253, 5853, 5073, 825, 3116, 912, 1038, 1820, 6262, 994, 13872, 1410, 1815, 9272, 14061, 29328, 28829, 1948, 798, 711, 4894, 713, 1899, 0, 343, 815, 3403, 4590, 604, 1535, 2652, 1412, 4905, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 6349, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 736, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2641, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2420, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2537, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2190, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 1839, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2918, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2767, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2764, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 3066, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 1789, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4029, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 3953, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 3451, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4097, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 3374, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 3607, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4391, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4343, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4375, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 2412, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 7906, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 7367, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 7871, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 4649, 262, 2433, 1820, 3488, 10498, 5073, 19197, 1535, 2652, 1412, 6812, 262, 2433, 1820, 3488, 10498, 5073, 12828, 2433, 1820, 3488, 13286, 10807, 0, 3698, 9258, 5560, 2187, 825, 26998, 815, 31460, 825, 585, 1883, 267, 7407, 538, 546, 29096, 3890, 2433, 26998, 314, 7407, 316, 815, 1883, 454, 825, 2132, 26998, 692, 323, 815, 31460, 1721, 1775, 538, 2039, 17301, 9272, 3890, 4297, 10778, 825, 1535, 815, 3403, 14061, 20889, 4590, 825, 546, 20572, 314, 271, 316, 22065, 1412, 266, 343, 314, 272, 14963, 815, 1535, 314, 273, 2639, 6113, 815, 9258, 5560, 994, 1721, 1775, 538, 2039, 17301, 9272, 3890, 4297, 10778, 825, 586, 815, 3403, 4590, 825, 952, 586, 538, 546, 269, 12399, 3890, 2433, 1820, 3488, 260, 338, 25341, 4939, 338, 262, 4939, 630, 344, 28504, 314, 344, 28413, 825, 8640, 586, 538, 678, 323, 269, 12399, 3890, 2433, 1820, 3488, 260, 338, 25341, 4939, 338, 262, 4939, 630, 344, 267, 6113, 314, 344, 28413, 825, 3116, 2433, 1820, 3488, 260, 338, 25341, 4939, 338, 262, 4939, 630, 344, 10086, 8253, 1336, 262, 4297, 0, 3698, 2638, 5091, 13424, 5560, 580, 1080, 2187, 825, 647, 31599, 267, 341, 815, 476, 271, 267, 1015, 267, 314, 272, 267, 274, 30297, 277, 454, 825, 585, 1775, 538, 2039, 12759, 5560, 580, 1080, 4297, 2433, 647, 6834, 703, 5560, 580, 1080, 5157, 8079, 265, 341, 5157, 2639, 825, 1247, 544, 2999, 647, 2433, 544, 6834, 476, 1015, 454, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 296, 10972, 24403, 20560, 630, 23966, 264, 568, 513, 1455, 14715, 4524, 538, 519, 6469, 2915, 267, 543, 568, 3989, 607, 7368, 23069, 2534, 2348, 1100, 30753, 5817, 2014, 269, 2368, 14981, 267, 971, 607, 519, 32068, 1352, 23311, 2915, 267, 723, 513, 3152, 9860, 540, 519, 4524, 269, 19881, 2090, 538, 713, 543, 824, 14981, 723, 4857, 5084, 4456, 2537, 607, 513, 5444, 602, 1476, 619, 1981, 540, 594, 292, 267, 4352, 3606, 1327, 328, 616, 1634, 547, 2291, 269, 634, 1459, 1353, 8179, 547, 2697, 3606, 1327, 328, 602, 3310, 594, 292, 538, 519, 32068, 1352, 23311, 2915, 563, 7049, 727, 17253, 7681, 2090, 630, 294, 310, 3008, 264, 7000, 513, 1713, 7681, 1063, 594, 292, 543, 595, 11902, 476, 1691, 630, 335, 2999, 476, 272, 269, 6734, 661, 6629, 476, 5400, 264, 543, 513, 2303, 633, 7681, 593, 595, 11902, 476, 4391, 630, 335, 2999, 476, 273, 269, 11011, 661, 6629, 476, 6187, 264, 538, 513, 3148, 538, 3095, 720, 1669, 638, 10329, 609, 5084, 4456, 2537, 269, 8298, 2065, 9695, 4857, 513, 476, 273, 2000, 1539, 2203, 602, 7152, 5872, 1063, 519, 1079, 9606, 10095, 4525, 602, 950, 5916, 2392, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 690, 6601, 2644, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 17268, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 13566, 1554, 267, 21667, 543, 1200, 2370, 7015, 15207, 4682, 547, 741, 5172, 17365, 4558, 547, 4444, 5820, 585, 1818, 12897, 269, 1358, 6068, 4543, 741, 3158, 676, 11319, 519, 7047, 543, 16116, 856, 5613, 543, 5388, 269, 2311, 519, 2638, 719, 4831, 267, 789, 8068, 1945, 4277, 1107, 513, 1007, 3684, 602, 1085, 10165, 543, 26693, 782, 519, 14770, 625, 2439, 288, 7874, 6666, 1512, 3957, 1849, 18311, 30870, 873, 543, 6045, 875, 519, 9589, 3926, 5249, 269, 898, 1185, 1614, 2694, 281, 519, 20927, 267, 519, 31554, 543, 3403, 1858, 267, 543, 519, 6221, 4159, 269, 2271, 29098, 267, 21667, 4280, 1849, 18311, 1018, 1500, 519, 8955, 538, 519, 31554, 1224, 1346, 6263, 3515, 593, 15004, 269, 1849, 18311, 20493, 543, 3459, 3450, 873, 827, 536, 2117, 3941, 543, 22795, 780, 257, 2791, 1294, 2437, 1352, 3323, 267, 834, 321, 2117, 3941, 2270, 1344, 827, 2472, 267, 899, 4408, 543, 5777, 269, 1879, 594, 5951, 713, 2699, 12297, 936, 621, 267, 1769, 9356, 1055, 519, 3009, 543, 7024, 547, 513, 9300, 267, 799, 1287, 18922, 621, 883, 1239, 1701, 2701, 3379, 621, 547, 5651, 572, 8943, 267, 3078, 1312, 3214, 945, 941, 1565, 827, 9479, 538, 1153, 780, 2026, 811, 1919, 533, 6150, 909, 267, 1849, 18311, 4951, 873, 519, 6221, 4159, 3296, 267, 17609, 1169, 1587, 267, 922, 7274, 267, 543, 3902, 269, 9741, 15207, 729, 27086, 547, 1265, 1256, 5961, 1985, 547, 930, 13366, 256, 3807, 950, 646, 6603, 856, 547, 7148, 835, 267, 1010, 11078, 11074, 1864, 780, 257, 310, 7159, 267, 7033, 10590, 1767, 21667, 269, 834, 1692, 1281, 621, 917, 519, 570, 5588, 3201, 286, 1284, 991, 547, 2628, 1101, 1354, 2469, 1753, 1701, 1849, 18311, 669, 3089, 1194, 543, 11329, 547, 1776, 851, 540, 519, 5496, 9789, 11192, 543, 32237, 8791, 269, 2701, 7000, 602, 519, 2780, 3330, 3773, 3388, 1927, 8850, 780, 9617, 1287, 267, 16474, 8452, 609, 10918, 11435, 2407, 540, 23739, 7727, 269, 1677, 3025, 781, 9983, 267, 1498, 267, 519, 3684, 10393, 29840, 539, 267, 16171, 4571, 23343, 27218, 269, 2353, 4064, 5828, 547, 21667, 543, 15207, 267, 945, 6743, 693, 1142, 824, 16203, 1176, 269, 1548, 5949, 1985, 6026, 873, 606, 1898, 3992, 1862, 6884, 267, 7279, 1522, 1291, 721, 547, 6397, 2164, 267, 855, 621, 781, 2141, 938, 2816, 547, 1451, 689, 891, 8090, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 17637, 513, 30892, 8818, 585, 513, 17365, 4558, 2638, 719, 1062, 563, 2690, 513, 17365, 4558, 2638, 719, 1062, 267, 519, 3593, 8818, 1058, 581, 2241, 267, 16022, 543, 2653, 547, 946, 269, 3371, 568, 606, 1383, 540, 875, 519, 1374, 1223, 1413, 1384, 272, 269, 2878, 23175, 518, 3296, 5093, 901, 3296, 1058, 4159, 519, 4558, 781, 20446, 267, 2012, 267, 543, 4087, 267, 865, 5561, 666, 3362, 2697, 621, 780, 273, 269, 2878, 306, 4754, 1676, 543, 18452, 3296, 5093, 634, 1292, 851, 540, 519, 8818, 568, 519, 17655, 543, 3403, 3296, 269, 901, 1131, 2874, 540, 513, 31554, 602, 786, 11571, 519, 536, 2117, 1712, 540, 1142, 6221, 602, 568, 1373, 12349, 269, 3958, 267, 972, 1223, 581, 513, 1883, 25247, 610, 5905, 5496, 585, 16924, 10024, 3688, 602, 798, 711, 723, 513, 536, 2117, 1712, 267, 971, 607, 4195, 3132, 780, 274, 269, 2878, 2005, 655, 4159, 3296, 5093, 1306, 3688, 616, 1085, 10165, 610, 16924, 9411, 267, 789, 1058, 581, 10268, 593, 519, 5496, 538, 513, 1592, 3898, 269, 3962, 6221, 1058, 4159, 519, 2012, 267, 7274, 267, 543, 3902, 267, 607, 1134, 607, 513, 1507, 3239, 540, 519, 1587, 585, 2653, 8446, 780, 275, 269, 2878, 13707, 543, 32237, 3296, 5093, 901, 3296, 1058, 4159, 519, 2698, 1942, 540, 555, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 28622, 543, 30886, 1369, 519, 2796, 540, 6965, 543, 519, 11806, 266, 2146, 269, 1284, 786, 2263, 875, 15023, 899, 3057, 6352, 320, 22216, 339, 1442, 946, 741, 1148, 1106, 547, 8774, 1769, 593, 891, 2152, 543, 24244, 9739, 1419, 16934, 689, 13416, 11407, 780, 2414, 2253, 267, 1577, 781, 5581, 28622, 267, 513, 2165, 22579, 676, 3656, 16159, 13690, 828, 331, 2946, 11511, 985, 24849, 538, 476, 2735, 280, 269, 28249, 1275, 4016, 547, 519, 10562, 2470, 540, 1514, 11008, 3074, 971, 607, 5198, 267, 1362, 267, 543, 4008, 267, 799, 1711, 20718, 1949, 540, 7130, 543, 17979, 269, 1280, 1383, 267, 513, 3109, 4807, 949, 3068, 2189, 2591, 1813, 547, 519, 10167, 540, 10168, 543, 3023, 1143, 602, 616, 711, 4810, 676, 3043, 2021, 610, 3109, 2367, 4805, 780, 3086, 267, 1577, 781, 2015, 875, 28622, 4249, 856, 538, 519, 1158, 540, 6965, 269, 25214, 267, 1978, 2516, 723, 1044, 26173, 538, 13629, 543, 3332, 267, 1519, 11806, 266, 2043, 543, 1346, 609, 9124, 269, 1635, 6220, 2609, 540, 741, 9163, 883, 741, 960, 267, 15023, 899, 3057, 6352, 320, 22216, 339, 1442, 4161, 8789, 6386, 543, 7903, 1394, 1996, 2144, 5501, 269, 4173, 9954, 10994, 3584, 971, 607, 5312, 1928, 267, 10333, 267, 543, 2916, 1689, 998, 519, 7828, 540, 1200, 1378, 2833, 607, 513, 1268, 609, 513, 9659, 269, 3414, 1200, 1913, 267, 1352, 8711, 519, 2081, 538, 799, 2111, 1143, 543, 2825, 12159, 19918, 1764, 2907, 12790, 5095, 780, 11101, 267, 22216, 339, 1442, 781, 14223, 11498, 3564, 1200, 2854, 960, 269, 1306, 513, 8470, 15645, 1807, 267, 13186, 4863, 1807, 267, 543, 1685, 518, 267, 1352, 5932, 2230, 585, 5188, 1472, 1271, 1514, 5126, 2152, 269, 1452, 3255, 1450, 585, 2417, 3408, 540, 4798, 971, 607, 6446, 15227, 267, 7292, 5126, 267, 543, 11776, 1247, 5807, 4296, 1063, 3309, 2950, 780, 5194, 1883, 2460, 540, 28622, 568, 922, 4276, 547, 6626, 2686, 7391, 269, 1280, 3236, 267, 2487, 5322, 899, 4563, 22032, 17460, 543, 1948, 9288, 32451, 723, 4547, 3007, 547, 11528, 15746, 5185, 676, 13840, 12790, 2516, 269, 6684, 267, 2799, 15287, 585, 19574, 2043, 814, 3366, 547, 3152, 4656, 540, 519, 10848, 4478, 4008, 3961, 269, 17826, 666, 4196, 607, 1312, 513, 8086, 543, 9920, 540, 891, 5717, 267, 5356, 13857, 5380, 602, 1522, 6382, 979, 796, 515, 731, 780, 1103, 1840, 547, 3695, 28622, 1369, 6965, 267, 621, 781, 1898, 547, 11760, 519, 1909, 540, 10766, 15209, 1369, 519, 5339, 1158, 269, 14539, 8075, 267, 5339, 13746, 267, 543, 1256, 1603, 11925, 1419, 3870, 1978, 9739, 936, 1866, 267, 31328, 4540, 1379, 6384, 269, 1717, 267, 972, 616, 4191, 540, 3356, 1107, 7341, 899, 966, 2839, 288, 4032, 3950, 4008, 13103, 538, 8313, 3928, 267, 1247, 3906, 971, 607, 700, 10033, 16520, 1489, 11806, 266, 5830, 269, 1452, 3646, 948, 2327, 602, 811, 9867, 2984, 1265, 741, 1259, 5196, 3817, 543, 883, 3988, 262, 3946, 780, 2026, 649, 9959, 938, 6514, 540, 28622, 543, 30886, 538, 6965, 267, 1577, 721, 3314, 519, 2956, 540, 13784, 543, 6041, 269, 1635, 6173, 908, 3309, 9739, 543, 14344, 519, 15491, 2470, 540, 3961, 267, 649, 10802, 938, 7104, 1620, 540, 519, 1480, 1995, 269, 5015, 267, 2502, 609, 1568, 602, 4161, 938, 10054, 7512, 6568, 543, 8992, 1514, 1689, 269, 1924, 267, 607, 596, 3136, 707, 3460, 998, 6965, 543, 5339, 2079, 267, 1832, 606, 3750, 856, 585, 519, 28963, 602, 3337, 1367, 2729, 543, 3565, 547, 3677, 6848, 3889, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11321, 6352, 320, 22216, 339, 1442, 568, 513, 3059, 1650, 339, 11839, 543, 10564, 563, 11321, 6352, 320, 814, 1079, 2835, 540, 6965, 267, 9197, 3518, 13355, 281, 31888, 630, 4462, 24887, 4964, 264, 543, 2201, 602, 835, 17574, 7552, 547, 9370, 630, 289, 582, 1479, 5115, 4964, 1040, 2701, 11339, 827, 3395, 909, 609, 513, 4686, 20258, 7988, 25936, 267, 5312, 1928, 267, 10333, 267, 2257, 5708, 267, 28622, 543, 3961, 267, 6446, 15227, 267, 543, 875, 2916, 1689, 5222, 16981, 1004, 543, 824, 7925, 2950, 630, 18034, 950, 2916, 2962, 4566, 1810, 1406, 1331, 873, 1040, 2701, 568, 606, 12167, 585, 1480, 2924, 2443, 1519, 16981, 267, 11806, 31956, 1004, 540, 2681, 267, 11082, 543, 15076, 267, 5778, 323, 1853, 7217, 267, 23948, 730, 267, 543, 824, 12790, 11570, 563, 9515, 5781, 15645, 919, 8440, 693, 5339, 19014, 267, 2535, 919, 538, 15264, 11042, 267, 16881, 1603, 11925, 267, 543, 15824, 6965, 693, 1930, 544, 923, 543, 2542, 3126, 269, 2776, 16227, 267, 1352, 6039, 607, 513, 3213, 16644, 1515, 540, 4934, 2237, 267, 6115, 267, 667, 5861, 10200, 338, 5993, 11806, 5339, 13037, 267, 543, 593, 519, 4604, 540, 590, 5902, 901, 9412, 267, 513, 18758, 602, 5252, 919, 543, 22842, 6965, 602, 581, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11328, 7611, 1275, 543, 12540, 1400, 1436, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 11806, 266, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 8152, 1117, 9602, 8775, 540, 4024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1572, 585, 513, 1007, 13338, 17203, 602, 1131, 10018, 2021, 519, 1318, 547, 8917, 269, 1635, 519, 3735, 13524, 2540, 267, 1007, 2829, 543, 11182, 267, 3226, 538, 519, 4639, 267, 3459, 547, 9886, 2021, 519, 1318, 547, 8917, 269, 769, 476, 6942, 279, 267, 513, 27049, 11556, 602, 1131, 5555, 1831, 519, 715, 12078, 14821, 729, 5189, 547, 6837, 267, 855, 621, 729, 15653, 538, 476, 6642, 278, 269, 769, 519, 476, 6245, 271, 338, 267, 27049, 3906, 5059, 593, 513, 3084, 17203, 1247, 1869, 2324, 693, 519, 1533, 543, 2199, 2157, 269, 21667, 31293, 543, 7705, 6754, 7153, 607, 1271, 3401, 4171, 1114, 2994, 5280, 1847, 519, 715, 12078, 14821, 4464, 269, 28678, 540, 519, 2136, 2276, 883, 2622, 2782, 594, 5280, 547, 6521, 1857, 8226, 540, 2021, 779, 27049, 269, 634, 2817, 1977, 19716, 22206, 14141, 5948, 267, 3366, 676, 2961, 4471, 28331, 2006, 595, 3430, 267, 6462, 519, 2112, 4674, 267, 1818, 519, 2013, 602, 2021, 1058, 581, 30039, 609, 679, 325, 13361, 1047, 618, 585, 741, 13348, 5328, 29053, 3028, 269, 634, 2817, 19716, 779, 9549, 588, 3042, 22415, 1127, 267, 23405, 267, 543, 14000, 16716, 1247, 15738, 856, 519, 32475, 540, 8165, 13383, 585, 9111, 1247, 12145, 621, 693, 1753, 676, 27102, 2021, 519, 1318, 547, 8917, 269, 634, 960, 540, 1312, 3906, 2220, 26359, 1857, 6644, 267, 20872, 5518, 14355, 547, 14773, 1010, 1489, 540, 519, 27049, 17203, 538, 476, 4489, 279, 269, 898, 5293, 538, 476, 4489, 280, 543, 729, 7550, 538, 476, 4572, 271, 267, 609, 9227, 1079, 3656, 2591, 267, 15776, 518, 642, 269, 12275, 32200, 543, 12876, 18876, 642, 269, 634, 715, 12078, 14821, 679, 325, 13361, 2213, 476, 2918, 2929, 1977, 2021, 538, 942, 585, 519, 476, 4572, 271, 772, 269, 30814, 9550, 267, 855, 519, 3532, 2021, 779, 13359, 1025, 665, 602, 1082, 14761, 21787, 8959, 547, 4628, 1570, 1125, 2394, 5756, 2663, 269, 3958, 267, 519, 715, 12078, 14821, 8959, 547, 4628, 679, 325, 13361, 1047, 3979, 1977, 267, 7489, 1977, 267, 17104, 1977, 267, 543, 7111, 1977, 2021, 630, 5408, 19926, 7799, 14591, 1040, 10374, 569, 1310, 519, 17203, 779, 10073, 267, 7705, 6754, 543, 519, 2817, 19716, 779, 9549, 3459, 960, 593, 519, 26321, 7126, 14821, 267, 799, 789, 5156, 513, 2556, 3606, 1900, 547, 2327, 7862, 269, 3979, 12677, 4807, 27049, 3646, 269, 589, 1007, 1445, 593, 513, 5313, 17203, 269, 19716, 27049, 543, 2622, 2782, 594, 32742, 269, 6468, 779, 13359, 2623, 269, 13477, 540, 6468, 966, 582, 619, 269, 634, 715, 12078, 14821, 538, 519, 2817, 19964, 269, 634, 1318, 540, 4961, 540, 519, 2136, 2276, 547, 8917, 4927, 711, 581, 17792, 610, 705, 27554, 676, 519, 2136, 2276, 610, 676, 1022, 3557, 593, 2272, 540, 3023, 269, 6837, 4927, 723, 1379, 547, 17997, 713, 2376, 676, 3617, 9086, 269, 6301, 2376, 281, 6468, 779, 27049, 538, 519, 2136, 2276, 269, 7956, 540, 519, 1507, 740, 602, 13631, 513, 3309, 5870, 540, 2021, 543, 2367, 693, 519, 1101, 6468, 779, 7126, 13482, 267, 4371, 538, 7354, 29132, 22484, 267, 1715, 3840, 267, 1282, 5147, 476, 7277, 279, 269, 634, 2136, 2276, 9139, 267, 7550, 538, 476, 9965, 280, 267, 2451, 519, 6302, 540, 27049, 3768, 18249, 269, 634, 1152, 2047, 11221, 1560, 2813, 896, 519, 3312, 9139, 729, 519, 772, 269, 5600, 540, 24929, 267, 585, 799, 28056, 20340, 941, 12799, 15518, 730, 547, 519, 1367, 2829, 269, 1496, 16694, 476, 272, 316, 2755, 2021, 1185, 519, 1318, 547, 8917, 538, 1896, 540, 519, 840, 3146, 23728, 776, 10125, 538, 1018, 1131, 1831, 519, 2136, 2276, 267, 1310, 476, 10082, 277, 267, 609, 519, 9868, 540, 1715, 14948, 267, 782, 2829, 7550, 1526, 4801, 602, 17792, 13359, 2924, 547, 2021, 269, 1715, 14948, 779, 11156, 7620, 11292, 27049, 547, 3959, 3620, 13783, 7264, 267, 1519, 2582, 543, 9310, 2021, 267, 855, 519, 1533, 11324, 14800, 2021, 779, 13359, 2924, 538, 476, 5197, 278, 543, 1705, 711, 11177, 873, 2394, 1715, 14948, 32738, 519, 715, 12078, 14821, 538, 476, 4572, 271, 269, 2755, 16559, 5322, 543, 3906, 6131, 547, 2021, 779, 2924, 11478, 5892, 267, 519, 476, 7277, 279, 7354, 29132, 22484, 13482, 538, 1715, 3840, 568, 12926, 4371, 607, 519, 1376, 540, 519, 1977, 2021, 779, 2924, 3350, 269, 5900, 2105, 676, 5176, 476, 4968, 2021, 543, 2367, 267, 519, 15007, 729, 2966, 547, 968, 29171, 1380, 519, 1514, 267, 3540, 267, 543, 3909, 2924, 540, 2021, 5608, 543, 19411, 730, 538, 519, 10073, 540, 519, 16672, 540, 13329, 9323, 269, 476, 6178, 539, 676, 476, 6924, 2021, 543, 476, 3953, 2367, 267, 519, 27630, 540, 519, 3561, 779, 12964, 17251, 21291, 14509, 267, 1763, 9407, 267, 2334, 621, 568, 519, 10279, 540, 519, 2021, 540, 713, 2197, 547, 5150, 547, 2933, 741, 10723, 1318, 547, 519, 1528, 633, 29929, 269, 476, 1230, 1597, 619, 13198, 4038, 807, 631, 2714, 543, 10906, 595, 8014, 853, 656, 517, 2968, 1883, 2038, 3401, 538, 519, 772, 269, 6468, 779, 27049, 3350, 267, 1419, 5219, 547, 693, 519, 942, 607, 519, 968, 30513, 27049, 3350, 6100, 476, 631, 2714, 779, 1489, 540, 2021, 779, 27049, 6565, 4364, 689, 607, 4832, 6170, 609, 519, 7354, 29132, 13780, 267, 835, 540, 519, 3670, 11031, 538, 519, 594, 549, 638, 12251, 28583, 2329, 267, 1141, 2021, 1185, 1713, 2797, 1379, 267, 1519, 519, 1318, 547, 3442, 543, 4894, 8783, 338, 543, 1654, 1729, 6411, 540, 2112, 269, 2920, 13659, 5466, 5313, 2021, 779, 27049, 729, 8766, 1282, 519, 6406, 2782, 269, 769, 476, 5908, 276, 267, 693, 519, 3932, 540, 519, 2112, 267, 513, 968, 30821, 819, 585, 17629, 22206, 14141, 5608, 9896, 676, 10906, 595, 8014, 853, 656, 517, 543, 19626, 645, 269, 20900, 267, 1851, 1866, 267, 1572, 585, 513, 3084, 13338, 17203, 547, 968, 2889, 3031, 527, 519, 1896, 2829, 689, 771, 523, 325, 13361, 2358, 1022, 540, 741, 4961, 593, 519, 2666, 540, 3023, 6100, 476, 634, 5859, 729, 519, 1101, 3084, 21936, 5397, 547, 4183, 4807, 27049, 1851, 922, 7569, 269, 476, 2755, 27049, 12014, 941, 5189, 883, 1082, 1533, 9777, 2137, 1282, 713, 1974, 267, 789, 941, 3622, 23304, 12023, 543, 1906, 3357, 547, 513, 8917, 269, 10906, 595, 8014, 853, 656, 517, 630, 572, 730, 264, 609, 19626, 645, 269, 5565, 15180, 27049, 3906, 4646, 538, 476, 5908, 280, 281, 519, 2817, 19716, 22206, 14141, 5948, 630, 301, 310, 6347, 1070, 3366, 676, 27049, 3401, 10906, 595, 8014, 853, 656, 517, 543, 19626, 645, 269, 20900, 267, 543, 519, 1977, 19716, 22206, 14141, 5948, 630, 288, 310, 6347, 1070, 3366, 676, 21667, 12942, 269, 476, 634, 32065, 6347, 779, 1292, 4674, 729, 25211, 532, 6837, 585, 513, 2021, 779, 27049, 17203, 547, 519, 772, 269, 634, 32217, 6347, 3622, 5059, 593, 513, 1279, 3856, 4674, 540, 1533, 11044, 547, 3035, 2021, 779, 27049, 593, 513, 1533, 8386, 15581, 4493, 269, 4438, 519, 25608, 5736, 267, 2021, 779, 2924, 3401, 23647, 585, 10014, 540, 8471, 27049, 607, 513, 3540, 1318, 538, 519, 25608, 2549, 754, 906, 630, 1492, 774, 597, 18818, 267, 9050, 18818, 267, 543, 17823, 18818, 2549, 754, 906, 1040, 2368, 5667, 15471, 2685, 11130, 602, 519, 17823, 18818, 14821, 267, 799, 19275, 27102, 13359, 2924, 968, 517, 2272, 540, 5198, 267, 2681, 267, 610, 3105, 2783, 540, 1425, 3363, 5608, 476, 22466, 27049, 585, 2021, 269, 476, 6736, 741, 3646, 267, 891, 22853, 1705, 711, 679, 325, 13361, 1047, 2021, 269, 476, 8791, 476, 273, 540, 519, 9050, 18818, 14821, 12799, 5806, 3990, 1063, 2367, 543, 2021, 676, 1152, 10336, 1944, 2829, 799, 27226, 2937, 5256, 4961, 540, 519, 8917, 269, 634, 32065, 6347, 13986, 1896, 28336, 5480, 2591, 538, 519, 4571, 268, 6942, 271, 338, 269, 476, 4256, 3656, 4661, 267, 1634, 607, 519, 968, 6124, 3493, 691, 675, 892, 4640, 267, 733, 2105, 602, 519, 9050, 18818, 14821, 630, 326, 7949, 532, 8471, 15114, 264, 543, 17823, 18818, 14821, 630, 326, 7949, 532, 519, 8917, 28000, 540, 5198, 264, 1927, 16798, 13359, 2924, 547, 2021, 269, 10966, 7040, 15653, 713, 4661, 269, 13325, 519, 772, 269, 10966, 7040, 12199, 602, 519, 10966, 7040, 540, 13325, 779, 30671, 547, 9886, 3733, 571, 17659, 6202, 513, 12689, 547, 2259, 1876, 729, 711, 513, 18670, 540, 519, 772, 269, 9139, 543, 15189, 547, 8831, 5313, 6392, 538, 1489, 540, 2021, 779, 15114, 2924, 269, 1496, 16694, 476, 274, 316, 769, 19724, 642, 269, 19732, 619, 9116, 519, 772, 269, 10966, 7040, 12199, 602, 519, 17658, 850, 2471, 610, 16332, 885, 1849, 1021, 540, 519, 9050, 18818, 14821, 1705, 711, 1683, 13359, 2924, 547, 772, 269, 22893, 282, 621, 1152, 16798, 3606, 4027, 540, 22864, 547, 4961, 945, 2907, 1185, 873, 269, 1403, 513, 1533, 11156, 3908, 27049, 547, 5256, 4961, 540, 519, 2136, 2276, 267, 1287, 2021, 538, 602, 1533, 1705, 711, 723, 13359, 2924, 269, 10966, 7040, 3664, 1063, 476, 6942, 274, 543, 476, 6942, 276, 17792, 13359, 2924, 547, 2021, 538, 4276, 609, 519, 9050, 18818, 543, 17823, 18818, 2549, 754, 906, 267, 27049, 2516, 17146, 741, 3646, 547, 14957, 585, 513, 1007, 13338, 17203, 269, 8033, 4240, 11175, 540, 519, 7262, 20281, 267, 2059, 609, 519, 10661, 540, 16857, 1526, 4801, 267, 4847, 519, 2021, 779, 27049, 3390, 547, 581, 6659, 607, 519, 7262, 11182, 27636, 4724, 1533, 3125, 269, 3414, 519, 17933, 540, 27049, 3906, 543, 4830, 2797, 6105, 267, 2021, 779, 27049, 729, 3769, 538, 519, 1526, 4801, 540, 29131, 24540, 630, 5908, 280, 264, 543, 18096, 24540, 630, 6942, 271, 1040, 476, 6468, 779, 27049, 538, 18096, 729, 2847, 12097, 538, 476, 6642, 278, 267, 950, 6837, 5293, 519, 31611, 338, 6874, 27462, 2920, 538, 476, 6642, 278, 602, 849, 19275, 21657, 18081, 282, 621, 729, 711, 17468, 538, 18096, 2394, 621, 6913, 1533, 3125, 538, 476, 6245, 277, 269, 10906, 595, 8014, 853, 656, 517, 1354, 519, 14130, 9730, 593, 17658, 850, 2471, 543, 5082, 687, 269, 1715, 3840, 11545, 18753, 267, 5130, 476, 1626, 267, 476, 6942, 279, 267, 533, 269, 1401, 12371, 1533, 9777, 2137, 538, 519, 4639, 267, 607, 1134, 607, 1346, 7532, 540, 519, 14967, 5211, 267, 3459, 547, 2015, 27049, 12014, 538, 519, 476, 6942, 271, 338, 543, 476, 6642, 271, 338, 269, 11153, 4371, 28056, 22275, 526, 4548, 267, 855, 789, 941, 28336, 2394, 519, 27049, 3350, 729, 2847, 1882, 538, 519, 476, 6245, 271, 338, 269, 9509, 2021, 779, 27049, 4797, 538, 29131, 1310, 621, 2968, 513, 1533, 538, 476, 6245, 271, 269, 12548, 11292, 9864, 13359, 2924, 602, 4847, 2021, 547, 8917, 538, 1153, 4604, 12836, 538, 476, 6245, 274, 543, 27924, 11292, 2021, 27049, 538, 476, 6245, 277, 269, 2353, 2829, 602, 941, 3811, 538, 17516, 2407, 13359, 2924, 585, 2021, 1354, 476, 4572, 271, 941, 4092, 538, 519, 4639, 269, 589, 5313, 17203, 5497, 547, 9886, 2021, 519, 1318, 547, 8917, 729, 5189, 538, 519, 772, 269, 14130, 585, 519, 1101, 942, 538, 476, 6942, 279, 676, 26826, 589, 269, 590, 1173, 550, 267, 513, 27737, 689, 4993, 945, 729, 513, 2021, 779, 27049, 12167, 269, 476, 853, 656, 517, 543, 824, 2021, 1449, 1881, 1354, 519, 14130, 538, 1489, 540, 519, 17203, 269, 476, 634, 11556, 2893, 538, 513, 12233, 2394, 621, 729, 2808, 676, 519, 2407, 14130, 543, 15653, 538, 513, 476, 1626, 3562, 268, 4097, 8917, 538, 476, 6642, 278, 269, 476, 1323, 17203, 6069, 538, 476, 6642, 279, 538, 519, 772, 269, 5600, 540, 24929, 1572, 585, 3908, 27049, 585, 2021, 945, 941, 8095, 9094, 610, 11097, 3298, 945, 11262, 3959, 269, 1635, 519, 476, 6245, 271, 338, 267, 27049, 3401, 3459, 547, 5431, 519, 991, 547, 22962, 741, 3490, 540, 1489, 547, 3035, 1967, 538, 8429, 27049, 9086, 693, 519, 3084, 267, 1533, 267, 543, 2199, 2157, 269, 2755, 7262, 2021, 267, 1533, 27049, 3906, 267, 543, 519, 32217, 6347, 13671, 593, 17516, 2021, 779, 13359, 2924, 585, 1808, 2829, 267, 3646, 693, 519, 3084, 1377, 30174, 998, 513, 4640, 540, 18322, 1308, 21981, 267, 21936, 532, 267, 543, 25211, 532, 269, 476, 2991, 519, 32217, 6347, 543, 32065, 6347, 24673, 538, 476, 6245, 271, 547, 1106, 519, 2817, 1977, 19716, 22206, 14141, 5948, 630, 2793, 310, 6347, 1070, 519, 1895, 9859, 922, 3646, 547, 3094, 1533, 7400, 1489, 585, 27049, 269, 476, 22206, 4048, 1235, 1185, 547, 5859, 15597, 585, 519, 8917, 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 ]
[ 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 29451, 692, 258, 476, 1015, 269, 273, 281, 3004, 19649, 6950, 267, 10910, 4861, 328, 267, 543, 918, 2572, 692, 11795, 22187, 5426, 281, 2311, 6103, 23095, 676, 281, 595, 298, 268, 1321, 692, 1012, 4804, 20505, 692, 1892, 14216, 633, 543, 946, 519, 1858, 12596, 585, 25671, 6950, 267, 32077, 328, 267, 543, 737, 2572, 780, 1012, 5623, 6581, 826, 692, 8340, 519, 1858, 519, 26484, 4525, 538, 519, 5515, 2630, 780, 272, 269, 13235, 291, 17961, 9387, 15857, 5723, 7374, 17910, 9387, 15857, 568, 513, 4009, 563, 273, 269, 13235, 291, 17961, 9387, 15857, 5723, 7374, 17910, 9387, 15857, 568, 513, 4009, 563, 274, 269, 4855, 519, 1858, 540, 1948, 272, 1210, 513, 1114, 1505, 780, 15447, 1548, 286, 634, 19384, 9206, 568, 547, 519, 1318, 269, 634, 9206, 814, 7516, 540, 476, 736, 9943, 1691, 17961, 9387, 15857, 736, 1422, 9392, 476, 1691, 17910, 9387, 15857, 630, 28493, 4268, 4470, 593, 519, 2450, 267, 865, 649, 786, 711, 946, 1022, 1934, 1040, 634, 14622, 540, 519, 5835, 32077, 639, 538, 519, 1647, 616, 476, 272, 269, 278, 4559, 689, 519, 30268, 540, 1142, 2427, 780, 8340, 519, 2698, 1858, 540, 519, 9206, 543, 519, 1858, 540, 519, 32077, 639, 630, 10175, 519, 5858, 1040, 1684, 711, 5180, 707, 4267, 780, 1012, 9351, 540, 513, 3004, 19649, 1355, 692, 13434, 718, 602, 513, 25671, 1355, 568, 513, 29105, 609, 835, 6292, 540, 6252, 5011, 269, 634, 13080, 540, 519, 6252, 5011, 616, 519, 13279, 269, 634, 13902, 3845, 1063, 519, 6252, 5011, 568, 519, 4463, 267, 610, 15820, 267, 540, 519, 25671, 1355, 780, 2414, 1265, 519, 1858, 540, 519, 25671, 1355, 267, 1577, 779, 2490, 621, 883, 513, 25521, 269, 1677, 798, 713, 267, 1118, 513, 5299, 540, 519, 25671, 1355, 543, 1287, 17967, 519, 5299, 476, 5197, 17961, 9387, 15857, 5197, 23373, 15132, 17910, 9387, 15857, 780, 3086, 267, 713, 568, 513, 25521, 609, 4463, 554, 17961, 9387, 15857, 327, 17910, 9387, 15857, 543, 3490, 536, 272, 17070, 273, 17961, 9387, 15857, 321, 318, 272, 1341, 536, 318, 273, 17910, 9387, 15857, 269, 2913, 779, 1265, 519, 1858, 540, 713, 3337, 780, 288, 284, 327, 6357, 272, 17070, 273, 9385, 8218, 9387, 15857, 288, 284, 327, 6357, 318, 272, 17070, 318, 273, 9385, 754, 9387, 265, 10926, 10303, 519, 1858, 540, 713, 25521, 568, 1500, 909, 540, 1079, 21412, 25671, 6950, 267, 519, 1858, 540, 835, 25671, 1355, 1131, 581, 589, 284, 1321, 327, 6357, 272, 17070, 273, 9385, 8218, 9387, 15857, 288, 7807, 2765, 346, 272, 2410, 273, 348, 554, 6357, 318, 272, 17070, 318, 273, 9385, 754, 9387, 15857, 780, 22704, 540, 513, 3004, 19649, 1355, 281, 634, 1858, 540, 513, 25671, 1355, 609, 4463, 554, 17961, 9387, 15857, 327, 17910, 9387, 15857, 543, 13279, 536, 272, 17961, 9387, 15857, 321, 318, 272, 17910, 9387, 15857, 543, 536, 273, 17961, 9387, 15857, 321, 318, 273, 17910, 9387, 15857, 568, 589, 284, 1321, 327, 6357, 272, 17070, 273, 9385, 8218, 9387, 15857, 288, 7807, 2765, 346, 272, 2410, 273, 348, 554, 6357, 318, 272, 17070, 318, 273, 9385, 754, 9387, 15857, 780, 763, 4542, 585, 519, 1858, 540, 513, 25671, 1355, 1223, 849, 581, 2854, 607, 519, 3328, 540, 519, 13279, 942, 519, 4463, 780, 7078, 476, 272, 281, 4855, 519, 1858, 540, 519, 25671, 6950, 2630, 780, 320, 2020, 321, 2020, 11405, 1384, 320, 264, 589, 284, 1321, 263, 1556, 7565, 1691, 266, 279, 264, 288, 284, 1321, 263, 1556, 7565, 2420, 264, 288, 284, 13199, 1109, 28493, 273, 17961, 9387, 15857, 288, 7807, 2765, 346, 272, 2410, 273, 348, 630, 1556, 7565, 1691, 266, 279, 9385, 256, 11138, 589, 815, 1422, 2765, 346, 272, 2410, 273, 348, 630, 1556, 7565, 2420, 9385, 256, 11138, 589, 815, 476, 13199, 1422, 4559, 317, 273, 17910, 9387, 265, 10926, 321, 264, 589, 284, 1321, 263, 280, 7565, 1428, 266, 2537, 264, 288, 284, 1321, 263, 280, 7565, 4343, 264, 288, 284, 14378, 1109, 28493, 273, 17961, 9387, 15857, 288, 284, 1422, 2765, 346, 272, 2410, 273, 348, 630, 280, 7565, 1428, 266, 2537, 9385, 256, 11138, 589, 815, 1422, 2765, 346, 272, 2410, 273, 348, 630, 280, 7565, 4343, 9385, 256, 11138, 589, 815, 476, 14378, 1422, 4559, 317, 273, 17910, 9387, 265, 10926, 7078, 476, 273, 281, 4855, 519, 15943, 543, 1858, 540, 519, 25671, 1355, 780, 11405, 281, 4634, 1498, 649, 616, 711, 5143, 519, 3259, 540, 519, 2034, 3490, 267, 649, 666, 1265, 621, 1210, 2027, 1318, 12730, 269, 5637, 12730, 693, 519, 7475, 540, 713, 25671, 1355, 616, 568, 30801, 1318, 12730, 267, 865, 519, 5492, 523, 4926, 616, 476, 5655, 17961, 9387, 15857, 275, 1422, 6912, 346, 273, 4153, 754, 9387, 15857, 543, 519, 824, 7953, 616, 540, 3259, 476, 275, 780, 303, 284, 279, 266, 5655, 266, 1626, 266, 5655, 303, 284, 2190, 266, 279, 2537, 276, 269, 274, 1109, 28493, 288, 284, 1321, 263, 275, 7565, 279, 266, 1626, 264, 288, 284, 4366, 1109, 28493, 273, 17961, 9387, 15857, 261, 623, 284, 279, 266, 275, 1422, 6912, 346, 273, 348, 1341, 1626, 266, 275, 1422, 6912, 346, 273, 348, 30974, 589, 284, 1422, 2765, 346, 272, 2410, 273, 348, 630, 275, 7565, 279, 266, 1626, 9385, 315, 1299, 623, 284, 2190, 266, 279, 1422, 6912, 346, 273, 348, 1422, 13627, 476, 3374, 269, 274, 1422, 4559, 30974, 589, 284, 4366, 1422, 4559, 317, 273, 17910, 9387, 265, 10926, 1012, 9351, 540, 513, 10910, 4861, 639, 543, 918, 924, 692, 13434, 718, 602, 513, 32077, 639, 568, 606, 31164, 29105, 543, 513, 30866, 814, 11105, 21412, 5011, 780, 13828, 540, 891, 9076, 559, 831, 1023, 723, 13902, 32377, 267, 799, 568, 875, 649, 616, 2469, 547, 1265, 741, 2127, 780, 30860, 602, 519, 32377, 7941, 1142, 29105, 883, 476, 275, 12730, 269, 769, 519, 32077, 639, 267, 782, 476, 275, 12730, 616, 21412, 543, 538, 519, 30866, 972, 616, 1079, 5036, 540, 21412, 12730, 269, 1403, 649, 1847, 519, 1079, 12730, 593, 519, 5377, 540, 1142, 29105, 865, 602, 789, 6474, 909, 609, 519, 12730, 1657, 519, 8880, 15497, 267, 649, 1131, 723, 1079, 25965, 780, 3383, 267, 519, 4463, 540, 891, 25965, 568, 3368, 540, 835, 540, 519, 32377, 543, 519, 3490, 568, 519, 3259, 540, 519, 824, 15497, 780, 22704, 540, 513, 10910, 4861, 639, 281, 1403, 519, 32377, 540, 513, 32077, 639, 616, 546, 272, 17961, 9387, 15857, 323, 318, 272, 17910, 9387, 15857, 543, 546, 273, 17961, 9387, 15857, 323, 318, 273, 17910, 9387, 265, 9574, 1287, 519, 1858, 568, 589, 284, 1321, 323, 272, 323, 273, 17961, 9387, 15857, 288, 7807, 2765, 346, 272, 2410, 273, 348, 546, 318, 272, 546, 318, 273, 17910, 9387, 15857, 780, 22704, 540, 513, 918, 924, 281, 1403, 519, 32377, 540, 513, 30866, 616, 546, 272, 17961, 9387, 15857, 323, 318, 272, 17910, 9387, 15857, 543, 546, 273, 17961, 9387, 15857, 323, 318, 273, 17910, 9387, 265, 9574, 1287, 519, 1858, 568, 589, 284, 1321, 323, 272, 323, 273, 17961, 9387, 15857, 288, 7807, 2765, 346, 272, 2410, 273, 348, 546, 318, 272, 546, 318, 273, 17910, 9387, 15857, 780, 2791, 1223, 849, 2161, 602, 519, 1858, 540, 513, 30866, 543, 32077, 639, 616, 3368, 519, 1587, 540, 519, 32377, 780, 7078, 476, 274, 281, 4855, 519, 15943, 543, 1858, 540, 519, 32077, 328, 2630, 780, 320, 2020, 321, 2020, 11405, 281, 769, 513, 32077, 639, 267, 782, 2185, 12730, 2813, 676, 519, 32377, 616, 21412, 780, 320, 264, 1677, 1265, 519, 15943, 267, 596, 1590, 1265, 519, 3259, 540, 1142, 2427, 267, 799, 1131, 581, 519, 30494, 540, 835, 540, 519, 2185, 12730, 269, 2422, 519, 25355, 14497, 780, 14338, 266, 279, 2641, 4510, 266, 5038, 2515, 303, 284, 2515, 273, 284, 2515, 273, 284, 21172, 284, 31979, 284, 275, 263, 31979, 6661, 14065, 274, 288, 284, 13199, 277, 2190, 288, 284, 4572, 17961, 9387, 15857, 1321, 317, 273, 266, 279, 317, 273, 17851, 2427, 317, 273, 30974, 589, 7807, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 476, 1626, 1422, 10383, 476, 2190, 11138, 476, 13893, 266, 5038, 17851, 2427, 317, 273, 30974, 589, 284, 4572, 11138, 2427, 17851, 1422, 6912, 346, 21172, 13157, 275, 1422, 6912, 346, 1724, 27874, 623, 17851, 476, 275, 1422, 3847, 263, 275, 1422, 6912, 346, 1724, 348, 1422, 2431, 6661, 1626, 1422, 6912, 346, 1724, 4153, 754, 9387, 265, 10926, 321, 264, 3371, 267, 1142, 6906, 568, 513, 476, 1789, 268, 2568, 268, 3445, 6906, 609, 513, 30494, 540, 476, 1691, 269, 3245, 519, 2027, 1318, 6906, 12753, 519, 2110, 1850, 568, 476, 278, 543, 519, 1279, 1850, 568, 476, 10463, 17961, 9387, 15857, 278, 1422, 6912, 346, 274, 4153, 754, 9387, 15857, 780, 303, 284, 29300, 284, 6321, 288, 284, 14096, 10463, 284, 5392, 274, 26237, 269, 4510, 17961, 9387, 15857, 303, 284, 476, 275, 1422, 10383, 476, 1691, 284, 6321, 30974, 589, 7807, 2765, 346, 272, 2410, 273, 348, 1422, 10383, 476, 278, 1422, 10383, 476, 278, 1422, 6912, 346, 274, 18098, 2765, 346, 5392, 1422, 6912, 346, 274, 12453, 273, 348, 1422, 13627, 476, 5655, 269, 4510, 17910, 9387, 265, 10926, 7078, 476, 275, 281, 4855, 519, 15943, 543, 1858, 540, 519, 737, 2572, 2630, 780, 320, 2020, 321, 2020, 11405, 281, 769, 513, 30866, 267, 972, 616, 1079, 8424, 540, 21412, 12730, 269, 1411, 786, 991, 547, 946, 519, 25355, 14497, 538, 1312, 2042, 547, 1265, 519, 3259, 540, 5011, 610, 32377, 780, 320, 264, 1744, 7163, 5011, 540, 30866, 7830, 266, 7367, 284, 338, 22659, 277, 266, 1839, 284, 338, 2641, 1109, 338, 272, 284, 8618, 303, 284, 273, 263, 8618, 11924, 273, 263, 1724, 6661, 28360, 266, 25784, 272, 269, 277, 288, 284, 1321, 263, 1015, 7565, 1240, 6661, 3445, 16524, 518, 5011, 540, 30866, 14338, 266, 7367, 284, 338, 21854, 4510, 266, 1839, 284, 338, 2420, 338, 273, 284, 15433, 284, 1724, 17961, 9387, 15857, 261, 1422, 3667, 346, 306, 1817, 614, 5011, 540, 30866, 348, 30974, 1422, 3667, 346, 16524, 518, 5011, 540, 30866, 27874, 1299, 476, 277, 317, 273, 266, 276, 317, 273, 284, 338, 318, 272, 317, 273, 30974, 476, 1321, 317, 273, 266, 276, 317, 273, 284, 338, 318, 273, 317, 273, 11138, 1299, 476, 3607, 266, 1839, 284, 338, 318, 272, 317, 273, 30974, 476, 13893, 266, 1839, 284, 338, 318, 273, 317, 273, 11138, 1299, 1422, 29911, 1422, 521, 318, 272, 7807, 6912, 346, 8618, 348, 30974, 1422, 29911, 1422, 15153, 521, 318, 273, 7807, 6912, 346, 15433, 13157, 1724, 11138, 1299, 623, 284, 273, 1422, 3847, 263, 1422, 6912, 346, 8618, 348, 1422, 2431, 11924, 273, 263, 1724, 6661, 273, 1422, 6912, 346, 8618, 348, 1341, 2918, 1422, 13627, 476, 6078, 269, 277, 11138, 1299, 589, 284, 1422, 2765, 346, 272, 2410, 273, 348, 630, 1015, 7565, 1240, 6661, 3445, 17910, 9387, 265, 10926, 321, 264, 9540, 518, 15497, 6712, 1708, 266, 323, 273, 338, 284, 21857, 1109, 1109, 323, 273, 338, 284, 18597, 1109, 1109, 1091, 284, 1428, 303, 284, 273, 263, 1839, 11924, 273, 263, 3374, 6661, 6344, 288, 284, 1321, 263, 1428, 266, 276, 3451, 7565, 2412, 264, 9262, 275, 269, 276, 299, 24147, 15497, 6712, 1708, 266, 323, 273, 331, 284, 31134, 1109, 1109, 323, 273, 331, 284, 279, 1839, 323, 331, 284, 276, 3451, 17961, 9387, 15857, 261, 1422, 3667, 346, 22102, 518, 15497, 6712, 348, 30974, 1422, 3667, 346, 299, 24147, 15497, 6712, 27874, 1299, 476, 736, 317, 273, 266, 323, 5334, 317, 273, 284, 1839, 317, 273, 30974, 476, 736, 317, 273, 266, 323, 9078, 317, 273, 284, 3374, 317, 273, 11138, 1299, 1422, 29911, 1422, 1422, 546, 5334, 317, 273, 284, 18597, 30974, 1422, 29911, 1422, 1422, 546, 9078, 317, 273, 284, 279, 1839, 11138, 1299, 1422, 29911, 1422, 1422, 546, 5334, 284, 1428, 30974, 1422, 29911, 1422, 15153, 546, 9078, 284, 276, 1422, 6912, 346, 3451, 27874, 1299, 623, 284, 273, 263, 1839, 11924, 273, 263, 3374, 6661, 6344, 11138, 1299, 589, 7807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2085, 729, 2404, 609, 1373, 9310, 1070, 543, 7694, 630, 335, 2999, 476, 271, 269, 9826, 267, 2362, 2085, 729, 2404, 609, 711, 2324, 1040, 3204, 8973, 3929, 1533, 267, 5266, 4587, 4079, 20639, 2539, 593, 782, 18161, 5960, 9408, 2297, 630, 1186, 2999, 476, 271, 269, 9826, 264, 609, 519, 17181, 540, 519, 25525, 268, 13808, 9408, 1446, 602, 729, 9797, 2404, 609, 2085, 630, 335, 815, 476, 271, 269, 28276, 1040, 3131, 18727, 4160, 585, 5046, 268, 866, 729, 20775, 547, 2085, 630, 335, 815, 476, 271, 269, 15782, 1040, 4039, 8271, 4587, 4079, 4080, 513, 1970, 11841, 540, 5046, 268, 866, 1851, 14077, 11721, 12188, 270, 659, 638, 5593, 1734, 630, 335, 815, 476, 271, 269, 25320, 1070, 2348, 811, 1072, 5312, 2175, 630, 335, 2999, 476, 271, 269, 9826, 1070, 543, 513, 2539, 16148, 2168, 1072, 630, 335, 815, 476, 271, 269, 19740, 1916, 8110, 18727, 10335, 543, 9228, 13438, 941, 3648, 17047, 630, 335, 2999, 476, 271, 269, 9826, 1040, 3131, 18727, 10335, 729, 17047, 609, 4008, 630, 335, 2999, 476, 271, 269, 9826, 267, 2362, 10335, 729, 2404, 609, 4775, 1070, 2069, 630, 335, 2999, 476, 271, 269, 9826, 267, 2362, 10335, 729, 2404, 609, 711, 2348, 6280, 4110, 1070, 29281, 4567, 630, 335, 2999, 476, 271, 269, 9826, 267, 2362, 10335, 729, 2404, 609, 1373, 9310, 1070, 543, 7694, 630, 335, 815, 476, 271, 269, 271, 5379, 267, 2362, 10335, 729, 2404, 609, 711, 2324, 1040, 898, 729, 2404, 609, 930, 3929, 2829, 281, 9797, 609, 9228, 4160, 827, 5046, 268, 866, 630, 335, 2999, 476, 271, 269, 9826, 264, 543, 519, 18161, 5960, 9408, 1446, 8082, 12845, 3806, 630, 335, 815, 476, 271, 269, 30033, 1070, 11874, 609, 519, 9408, 1446, 10845, 3620, 739, 1006, 630, 335, 815, 476, 271, 269, 271, 5655, 1040, 5047, 267, 9228, 10335, 729, 9797, 2404, 609, 6662, 2168, 1072, 630, 335, 2999, 476, 271, 269, 9826, 264, 543, 519, 11841, 540, 7972, 1851, 14077, 11721, 12188, 270, 659, 638, 5593, 1734, 630, 335, 2999, 476, 271, 269, 9826, 1070, 543, 11874, 2404, 609, 16148, 2168, 1072, 630, 335, 2999, 476, 271, 269, 9826, 1916, 8110, 18727, 13438, 729, 17047, 609, 4008, 630, 335, 2999, 476, 271, 269, 9826, 267, 2362, 13438, 729, 2404, 609, 4775, 1070, 2069, 630, 335, 815, 476, 271, 269, 271, 4097, 267, 2362, 13438, 729, 2404, 609, 2348, 6280, 4110, 264, 543, 7694, 630, 335, 2999, 476, 271, 269, 9826, 282, 2362, 13438, 729, 2404, 609, 2324, 1040, 898, 729, 9797, 2404, 609, 782, 3929, 2829, 630, 18485, 9228, 4160, 827, 5046, 268, 866, 267, 533, 2999, 476, 271, 269, 9826, 267, 543, 782, 18161, 5960, 9408, 2297, 267, 27666, 2999, 476, 271, 269, 22903, 1070, 607, 1134, 607, 609, 519, 11841, 540, 5563, 630, 335, 2999, 476, 271, 269, 9826, 264, 543, 7972, 630, 335, 2999, 476, 271, 269, 9826, 264, 1851, 14077, 11721, 12188, 270, 659, 638, 5593, 1734, 267, 543, 11874, 2404, 609, 16148, 2168, 1072, 630, 335, 2999, 476, 271, 269, 9826, 1916, 21848, 20212, 538, 11485, 3131, 8526, 454, 32602, 4596, 22849, 4951, 2085, 31228, 3604, 538, 1981, 10335, 267, 674, 263, 276, 267, 11260, 276, 264, 815, 476, 2190, 269, 7918, 267, 533, 815, 476, 271, 269, 9826, 267, 543, 1981, 13438, 267, 674, 263, 276, 267, 11260, 276, 264, 815, 476, 277, 269, 1839, 267, 533, 2999, 476, 271, 269, 9826, 267, 9013, 585, 1124, 1675, 655, 4919, 4632, 269, 1323, 26087, 525, 8612, 602, 4079, 936, 476, 3583, 1296, 9228, 2362, 1981, 10335, 540, 5046, 268, 866, 3379, 547, 476, 1240, 1700, 3066, 267, 476, 1789, 1700, 4375, 267, 476, 2412, 1700, 5392, 267, 543, 476, 2004, 1700, 6795, 630, 1186, 2999, 476, 271, 269, 271, 2190, 282, 1294, 7612, 476, 272, 282, 4675, 11915, 7305, 476, 273, 1040, 17957, 267, 7820, 4079, 476, 1240, 1700, 3066, 543, 476, 1789, 1700, 4375, 9228, 2539, 1981, 10335, 540, 5046, 268, 866, 3379, 547, 782, 824, 2085, 2516, 630, 1186, 2999, 476, 271, 269, 24879, 1040, 3204, 8973, 519, 1981, 13438, 540, 5046, 268, 866, 267, 4587, 4079, 936, 476, 3583, 4080, 2539, 1981, 3379, 547, 7820, 2085, 2516, 476, 1240, 1700, 3066, 267, 476, 1789, 1700, 4375, 267, 476, 2412, 1700, 5392, 630, 1186, 2999, 476, 271, 269, 271, 2918, 1040, 6520, 2516, 476, 2004, 1700, 6795, 543, 476, 2568, 1700, 7597, 4080, 2539, 1981, 13438, 3379, 547, 476, 2412, 1700, 5392, 630, 1186, 815, 476, 271, 269, 16573, 1916, 8201, 476, 272, 269, 6520, 5829, 3604, 538, 1981, 8226, 267, 3929, 1533, 267, 1995, 609, 5046, 268, 866, 267, 543, 2168, 1072, 269, 634, 8880, 17887, 5815, 519, 2085, 16649, 2176, 269, 19590, 593, 519, 7299, 17887, 5330, 547, 3044, 4559, 540, 519, 26830, 1031, 630, 5408, 1257, 585, 3877, 1040, 18438, 13063, 2099, 3044, 5470, 540, 519, 1611, 269, 1280, 3929, 1533, 267, 1995, 609, 5046, 268, 866, 543, 2168, 1072, 267, 2085, 16649, 2176, 941, 17223, 585, 6881, 5301, 1152, 563, 22546, 540, 5081, 617, 655, 4919, 25159, 267, 16508, 2276, 267, 15232, 2060, 5046, 268, 866, 267, 543, 8447, 2657, 21073, 593, 11485, 3131, 8526, 538, 3962, 6520, 20492, 454, 8802, 8973, 1981, 10335, 630, 5408, 4675, 11915, 23959, 476, 274, 267, 275, 1070, 519, 21712, 9695, 2079, 4951, 602, 538, 2085, 1895, 476, 1240, 1700, 3066, 267, 5153, 476, 273, 6045, 476, 4375, 260, 540, 519, 13065, 267, 1141, 9228, 4160, 827, 5046, 268, 866, 729, 519, 1152, 27667, 269, 769, 2085, 2516, 476, 1789, 1700, 4375, 543, 476, 2412, 1700, 5392, 267, 5153, 476, 272, 6045, 476, 279, 260, 543, 476, 280, 260, 540, 519, 13065, 267, 6606, 267, 1141, 4008, 543, 2069, 941, 30661, 269, 634, 1840, 538, 5153, 476, 273, 540, 9228, 4160, 827, 5046, 268, 866, 1107, 543, 1152, 585, 2085, 1895, 476, 2412, 1700, 5392, 849, 18161, 5960, 9408, 1446, 10845, 3620, 739, 1006, 1107, 3366, 547, 606, 2333, 540, 476, 2764, 260, 538, 13065, 6045, 269, 1717, 267, 538, 519, 2063, 1900, 2069, 729, 1100, 3476, 513, 27667, 269, 769, 2085, 2516, 476, 2004, 1700, 6795, 543, 936, 476, 3583, 267, 5153, 476, 273, 6045, 476, 3607, 260, 543, 476, 1428, 260, 540, 519, 13065, 267, 6606, 267, 1141, 9228, 4160, 827, 5046, 268, 866, 543, 519, 18161, 5960, 9408, 1446, 10845, 3620, 739, 1006, 941, 30661, 269, 769, 2085, 1895, 476, 2568, 1700, 7597, 267, 5153, 476, 272, 6045, 476, 274, 260, 540, 519, 13065, 267, 1141, 7694, 729, 513, 27667, 269, 634, 1840, 538, 5153, 476, 273, 540, 9228, 4160, 827, 5046, 268, 866, 543, 538, 5153, 476, 274, 540, 1981, 13438, 3366, 547, 606, 2333, 540, 476, 1839, 260, 543, 476, 1015, 260, 538, 13065, 6045, 267, 6606, 269, 1717, 267, 538, 519, 2063, 1900, 1981, 13438, 729, 1100, 3476, 513, 27667, 563, 2690, 1981, 13438, 630, 5408, 4675, 11915, 23959, 476, 276, 267, 476, 277, 1070, 538, 519, 2085, 1895, 476, 1240, 1700, 3066, 267, 5153, 476, 273, 6045, 476, 866, 260, 540, 519, 13065, 267, 609, 519, 9228, 4160, 827, 5046, 268, 866, 1373, 513, 27667, 269, 634, 1840, 538, 5153, 476, 275, 540, 1995, 540, 5046, 268, 866, 3968, 543, 538, 5153, 476, 276, 540, 16148, 2168, 1072, 267, 3366, 547, 606, 2333, 540, 476, 275, 260, 543, 476, 272, 260, 538, 13065, 6045, 269, 769, 2085, 1895, 476, 1789, 1700, 4375, 267, 5153, 476, 272, 6045, 476, 273, 260, 540, 519, 13065, 1141, 4008, 543, 7694, 941, 30661, 269, 634, 1840, 538, 5153, 476, 273, 540, 519, 18161, 5960, 9408, 1446, 8082, 12845, 3806, 543, 9228, 4160, 827, 5046, 268, 866, 267, 543, 538, 5153, 476, 275, 519, 1840, 540, 1995, 540, 5046, 268, 866, 3968, 267, 3366, 547, 513, 1713, 2333, 540, 476, 1321, 260, 543, 476, 273, 260, 538, 13065, 6045, 267, 6606, 269, 1717, 267, 538, 519, 2063, 1900, 4008, 729, 1100, 3476, 513, 27667, 269, 769, 2085, 1895, 476, 2412, 1700, 5392, 267, 5153, 476, 272, 6045, 476, 275, 260, 540, 519, 13065, 1141, 4008, 729, 513, 27667, 269, 634, 1840, 538, 5153, 476, 273, 540, 519, 9228, 4160, 827, 5046, 268, 866, 267, 543, 538, 5153, 476, 275, 540, 1995, 540, 5046, 268, 866, 3968, 267, 3366, 547, 606, 2333, 540, 476, 1691, 260, 543, 476, 276, 260, 538, 13065, 6045, 269, 1280, 519, 2085, 1895, 476, 2004, 1700, 6795, 267, 5153, 476, 272, 6045, 476, 274, 260, 540, 519, 13065, 1141, 7694, 729, 513, 27667, 269, 634, 1840, 538, 5153, 476, 273, 540, 519, 9228, 4160, 827, 5046, 268, 866, 543, 519, 18161, 5960, 9408, 1446, 10845, 3620, 739, 1006, 267, 543, 538, 5153, 476, 274, 540, 1981, 10335, 267, 538, 5153, 476, 275, 540, 1995, 540, 5046, 268, 866, 3968, 267, 543, 538, 5153, 476, 276, 540, 16148, 2168, 1072, 267, 3366, 547, 606, 2333, 540, 476, 1321, 9077, 476, 272, 9077, 476, 274, 9077, 543, 476, 273, 260, 538, 13065, 6045, 267, 6606, 269, 1717, 267, 538, 519, 2063, 1900, 7694, 729, 1100, 3476, 513, 27667, 269, 1280, 519, 2085, 1895, 476, 2568, 1700, 7597, 267, 5153, 476, 273, 6045, 476, 1428, 260, 540, 519, 13065, 1141, 9228, 4160, 827, 5046, 268, 866, 729, 519, 27667, 269, 634, 1840, 538, 5153, 476, 275, 540, 1995, 540, 5046, 268, 866, 3968, 3366, 547, 606, 2333, 540, 476, 274, 260, 538, 13065, 6045, 269, 7053, 267, 538, 519, 2085, 1895, 936, 476, 3583, 267, 5153, 476, 273, 6045, 476, 2641, 260, 540, 519, 13065, 267, 609, 519, 9228, 4160, 827, 5046, 268, 866, 1373, 519, 1152, 27667, 269, 769, 7305, 476, 274, 513, 28203, 540, 30661, 540, 1981, 13438, 543, 1981, 10335, 538, 519, 1114, 2085, 2516, 568, 4080, 563, 8368, 476, 274, 269, 12834, 540, 519, 1713, 30661, 630, 30009, 609, 519, 2473, 538, 519, 3349, 264, 540, 1981, 10335, 543, 1981, 13438, 693, 1114, 6502, 563, 763, 1459, 1353, 8947, 2085, 5829, 3604, 538, 1981, 8226, 538, 513, 1483, 3734, 3510, 267, 12077, 519, 2038, 5123, 540, 519, 5046, 268, 866, 12176, 538, 7977, 267, 7421, 4632, 602, 666, 2491, 519, 8226, 540, 1981, 693, 1114, 6502, 689, 476, 1240, 547, 476, 9262, 1296, 2025, 563, 2171, 1336, 602, 519, 8226, 540, 1981, 10335, 2799, 609, 2085, 689, 1762, 547, 4587, 2937, 2516, 269, 17957, 267, 519, 8226, 540, 1981, 13438, 729, 2362, 538, 7820, 982, 4587, 2937, 2516, 269, 3776, 4681, 616, 5812, 609, 1346, 540, 2487, 1382, 593, 5046, 268, 866, 630, 289, 745, 710, 632, 25362, 514, 267, 476, 1708, 271, 282, 623, 5235, 1696, 620, 1421, 476, 1708, 271, 282, 2871, 770, 2378, 1512, 549, 1696, 620, 1421, 476, 1708, 272, 282, 918, 643, 328, 1696, 620, 1421, 476, 1708, 272, 1040, 901, 4806, 540, 2164, 8761, 602, 4587, 4079, 723, 513, 1114, 8226, 540, 1981, 13438, 543, 1981, 10335, 543, 25495, 519, 11984, 1063, 519, 1079, 3344, 540, 1981, 8226, 6069, 676, 1312, 519, 670, 13696, 630, 305, 690, 619, 267, 476, 2735, 274, 264, 543, 519, 6751, 307, 630, 6826, 14982, 267, 476, 3192, 275, 1040, 6520, 5829, 3604, 538, 1981, 8226, 941, 1459, 1256, 9013, 585, 1124, 1675, 655, 4919, 4632, 11021, 602, 789, 3112, 4628, 2491, 519, 2085, 2242, 538, 1981, 8226, 563, 13010, 267, 538, 1899, 609, 3105, 2090, 593, 5046, 268, 866, 630, 324, 3052, 1421, 25362, 710, 632, 25362, 514, 267, 476, 1708, 271, 282, 2961, 560, 27255, 1696, 620, 1421, 476, 1708, 271, 282, 9919, 764, 6737, 1696, 620, 1421, 476, 1708, 271, 1070, 2942, 3929, 2829, 22157, 547, 6175, 267, 543, 519, 2318, 3283, 22157, 547, 4473, 607, 2085, 4679, 269, 4014, 519, 1981, 540, 4049, 4576, 689, 5046, 268, 866, 4679, 609, 2085, 630, 313, 17924, 1696, 620, 1421, 476, 1708, 271, 1070, 5266, 4587, 4079, 949, 581, 811, 2111, 982, 7820, 3283, 547, 10038, 741, 2942, 4664, 543, 4743, 540, 4160, 267, 2519, 593, 2318, 4664, 543, 2502, 2238, 269, 3776, 4681, 1489, 519, 2070, 602, 538, 19220, 540, 519, 21500, 19310, 1243, 676, 519, 6855, 602, 27938, 741, 1072, 543, 1134, 5630, 267, 4587, 1004, 4159, 3929, 6043, 630, 10111, 560, 27255, 1696, 620, 1421, 476, 1708, 271, 282, 13428, 2006, 1696, 620, 1421, 476, 1708, 272, 1916, 8802, 8973, 519, 1995, 609, 5046, 268, 866, 267, 2085, 729, 2404, 609, 7864, 2665, 540, 1920, 270, 7758, 2510, 270, 659, 638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 4045, 609, 29491, 12427, 3040, 6730, 568, 6730, 815, 7522, 8850, 1031, 676, 5616, 543, 824, 3406, 9817, 547, 9192, 2474, 269, 10758, 815, 4228, 3040, 6884, 513, 1982, 786, 946, 513, 1341, 610, 1107, 547, 10691, 815, 23868, 12990, 585, 6730, 610, 10691, 454, 15697, 8249, 2221, 779, 1344, 3376, 267, 3099, 5133, 30940, 10727, 543, 6617, 1265, 2200, 689, 6325, 2228, 2959, 454, 1692, 547, 1265, 281, 5769, 8249, 9612, 9817, 711, 782, 2813, 3160, 256, 13595, 1463, 1559, 6896, 6402, 547, 2200, 12333, 1299, 11780, 3906, 7270, 1683, 2872, 3377, 267, 1463, 1559, 267, 3092, 563, 15447, 2659, 12358, 1622, 22362, 7392, 1547, 9254, 12409, 9872, 1547, 3073, 6348, 17416, 3028, 3906, 1547, 326, 990, 6554, 8116, 1547, 332, 559, 13639, 9988, 1547, 321, 714, 24371, 1547, 1260, 20497, 3919, 1547, 6339, 5769, 3028, 7426, 454, 14110, 3201, 308, 288, 16249, 2562, 19489, 7246, 3582, 7600, 1227, 6218, 1344, 1210, 10858, 7355, 454, 24066, 10663, 281, 16958, 8005, 5206, 519, 1344, 286, 1432, 616, 1010, 17017, 270, 26132, 22754, 286, 1432, 28930, 725, 267, 952, 1022, 267, 1281, 519, 2278, 723, 286, 3674, 3346, 1344, 3177, 286, 8005, 3370, 519, 960, 286, 8005, 23032, 519, 960, 888, 24066, 10663, 281, 4354, 6275, 2691, 729, 519, 960, 3370, 286, 6701, 972, 2789, 21820, 286, 2750, 8533, 9304, 540, 8100, 10691, 292, 281, 6196, 9881, 510, 14068, 256, 608, 281, 8466, 1344, 1281, 711, 991, 547, 581, 20460, 1243, 607, 1419, 607, 6639, 1344, 454, 24066, 10663, 281, 12474, 8005, 568, 519, 5497, 5304, 286, 1432, 568, 519, 3483, 286, 1432, 568, 519, 9165, 286, 2750, 8533, 1843, 2032, 2750, 8533, 585, 6111, 3674, 519, 1344, 2357, 16666, 286, 24066, 10663, 2949, 2298, 0, 306, 4822, 3979, 642, 548, 328, 3731, 454, 16085, 4822, 3979, 966, 548, 328, 13158, 2008, 347, 302, 339, 558, 903, 3352, 2928, 9850, 267, 519, 8828, 3979, 966, 548, 328, 3731, 267, 21737, 22290, 513, 556, 539, 1922, 2590, 539, 2481, 8198, 763, 8828, 3979, 966, 548, 328, 13158, 630, 302, 339, 558, 903, 3352, 2928, 9850, 264, 568, 513, 2249, 540, 887, 4823, 538, 519, 17305, 558, 903, 12593, 9497, 341, 548, 328, 14148, 8442, 540, 519, 1920, 12653, 13160, 269, 901, 568, 519, 1826, 2249, 540, 519, 12593, 269, 634, 2039, 11498, 689, 519, 2484, 3162, 5375, 15729, 540, 3162, 4000, 267, 1472, 519, 7013, 543, 9456, 5032, 543, 11105, 9703, 267, 547, 31210, 4525, 538, 7013, 715, 7614, 269, 901, 851, 540, 922, 2039, 2882, 15776, 1054, 334, 269, 4329, 5087, 621, 1100, 3476, 4386, 1472, 519, 4890, 5032, 269, 769, 1633, 2705, 267, 922, 2039, 11498, 5087, 547, 9341, 2127, 267, 5176, 547, 519, 7187, 10465, 540, 519, 3690, 9366, 531, 267, 1519, 2694, 540, 4210, 1794, 559, 663, 269, 1323, 15151, 9678, 2551, 4386, 1869, 2417, 5087, 538, 9341, 9456, 25472, 543, 11105, 20787, 3711, 1664, 269, 4706, 9249, 1331, 22465, 1970, 268, 5306, 3363, 2220, 10102, 543, 31922, 267, 543, 31210, 543, 9341, 1164, 268, 5306, 3363, 31922, 267, 2220, 10102, 267, 543, 24914, 563, 268, 631, 1380, 518, 267, 717, 14371, 5919, 2961, 13987, 267, 631, 6185, 269, 630, 1220, 276, 1040, 834, 21841, 26967, 631, 1755, 728, 320, 2668, 769, 14355, 267, 667, 9950, 5919, 1234, 25005, 267, 667, 8160, 269, 26495, 531, 15661, 540, 519, 2622, 281, 589, 12525, 21978, 543, 22127, 13129, 630, 274, 6113, 1196, 12175, 8592, 22846, 2160, 4964, 269, 6032, 269, 476, 8660, 275, 1700, 14631, 272, 269, 9768, 476, 7818, 268, 271, 268, 3199, 272, 279, 268, 279, 2420, 272, 268, 271, 269, 32726, 9448, 476, 25118, 4792, 275, 11463, 563, 268, 13177, 267, 623, 1421, 631, 732, 324, 267, 590, 269, 1299, 3933, 29951, 655, 267, 589, 269, 476, 1220, 275, 269, 17305, 558, 903, 3352, 2928, 9850, 269, 476, 1220, 277, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 269, 8281, 539, 593, 476, 866, 5147, 476, 1220, 278, 563, 347, 1607, 17305, 558, 903, 2376, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 6124, 18789, 28707, 11414, 3214, 547, 3009, 543, 581, 3742, 454, 763, 631, 1478, 14173, 666, 581, 19632, 1369, 476, 1428, 3764, 543, 666, 581, 27358, 585, 1896, 1114, 5301, 563, 299, 1442, 515, 539, 9410, 781, 1153, 1668, 3217, 596, 593, 513, 11878, 2066, 9370, 454, 2005, 3096, 519, 9059, 540, 5691, 4641, 563, 28347, 15525, 786, 16823, 3984, 593, 3163, 19305, 713, 3018, 454, 3891, 781, 972, 547, 948, 5397, 6107, 1719, 538, 2257, 607, 519, 6519, 5600, 3163, 12876, 3217, 1747, 563, 298, 1157, 560, 6621, 22842, 13241, 609, 513, 1793, 622, 540, 4819, 25700, 3785, 454, 2414, 903, 602, 4001, 1453, 875, 547, 1982, 1810, 1405, 723, 547, 581, 19309, 563, 8777, 611, 1326, 2285, 12537, 281, 12736, 606, 544, 290, 809, 773, 7731, 14173, 21806, 540, 12130, 1238, 3626, 2336, 292, 553, 1176, 1039, 4987, 547, 700, 9680, 302, 13144, 543, 811, 563, 11321, 767, 781, 13241, 4161, 3947, 835, 18295, 8004, 606, 22631, 1222, 454, 8138, 2466, 707, 2093, 593, 875, 547, 1689, 519, 1158, 563, 298, 334, 990, 568, 590, 3415, 781, 2626, 547, 6181, 334, 9650, 28323, 454, 763, 18951, 543, 8193, 20164, 616, 519, 1101, 3693, 538, 590, 3415, 781, 6820, 4065, 1982, 563, 8777, 611, 1326, 2285, 12537, 281, 12736, 513, 6292, 540, 966, 29448, 11608, 21806, 540, 667, 15709, 984, 582, 2336, 4322, 3872, 11442, 1532, 1824, 666, 948, 3214, 1451, 547, 3009, 563, 26765, 334, 781, 1284, 2710, 476, 273, 269, 271, 3947, 3214, 513, 16154, 2275, 6847, 538, 17562, 454, 2005, 1631, 11414, 873, 13241, 5396, 899, 2257, 267, 1932, 269, 0, 24523, 538, 7869, 543, 6657, 267, 11730, 5565, 267, 609, 16262, 1108, 7131, 1315, 9990, 476, 278, 2421, 23745, 5484, 1189, 267, 3057, 1176, 333, 590, 6033, 454, 8530, 269, 11261, 281, 476, 6187, 270, 1240, 270, 1220, 273, 454, 21812, 281, 17755, 3863, 6953, 650, 14992, 267, 634, 454, 763, 3804, 540, 519, 1257, 568, 547, 4051, 3988, 593, 519, 4052, 3498, 540, 1702, 269, 634, 10763, 2553, 4843, 616, 270, 328, 11417, 24127, 4083, 540, 8535, 538, 7869, 543, 6657, 568, 606, 4367, 547, 7574, 6163, 689, 519, 11193, 547, 519, 1459, 269, 898, 2882, 811, 1950, 22334, 267, 606, 8561, 593, 3677, 3029, 267, 543, 2994, 585, 5888, 2079, 563, 763, 3804, 540, 519, 1257, 568, 547, 4051, 3988, 593, 519, 4052, 3498, 540, 1702, 269, 634, 10763, 2553, 4843, 616, 5402, 2966, 547, 581, 2312, 267, 9296, 6088, 267, 543, 11593, 10858, 547, 1022, 27132, 563, 268, 17755, 3863, 6953, 650, 14992, 267, 634, 454, 268, 22910, 4266, 912, 268, 9990, 6609, 912, 268, 476, 278, 8025, 645, 298, 261, 7374, 454, 268, 8605, 7516, 912, 268, 476, 279, 269, 3583, 26028, 264, 1535, 476, 1015, 269, 3199, 22607, 264, 1535, 476, 271, 269, 2004, 5560, 994, 8368, 540, 12937, 7093, 2183, 8512, 589, 910, 634, 11193, 543, 25724, 11270, 338, 3848, 476, 272, 268, 17623, 11193, 12443, 21620, 3848, 476, 273, 910, 5565, 13305, 4069, 20640, 7570, 11416, 22388, 4812, 3848, 476, 274, 910, 634, 674, 1872, 826, 3487, 645, 910, 26537, 1738, 24442, 3848, 476, 275, 910, 645, 6563, 539, 932, 3581, 3848, 476, 276, 910, 3026, 777, 13457, 476, 277, 628, 932, 3581, 3848, 476, 277, 910, 4119, 7757, 476, 277, 628, 932, 3581, 3487, 595, 910, 634, 18190, 11270, 630, 11260, 271, 268, 9264, 276, 264, 3848, 476, 278, 910, 7352, 566, 26435, 3848, 476, 279, 910, 12312, 1092, 4813, 3848, 476, 280, 910, 681, 32121, 22553, 3487, 667, 910, 27326, 543, 26537, 1738, 24442, 3848, 476, 1015, 910, 476, 280, 628, 267, 476, 1556, 628, 267, 543, 476, 1724, 628, 932, 3581, 3848, 476, 1556, 910, 16816, 1229, 18067, 1218, 3848, 476, 1321, 910, 26537, 1738, 2405, 328, 1218, 3487, 661, 910, 634, 715, 12078, 543, 3828, 12351, 2578, 3753, 3848, 476, 1724, 268, 634, 21434, 11270, 630, 9264, 276, 268, 5002, 271, 264, 3848, 476, 1691, 910, 634, 5403, 7304, 558, 4842, 267, 6764, 1833, 2065, 267, 543, 13565, 26505, 3848, 476, 1428, 910, 634, 12634, 11270, 630, 4489, 271, 268, 3707, 276, 264, 3848, 476, 1626, 910, 3828, 10679, 6874, 821, 26435, 5403, 331, 8775, 281, 8535, 4595, 476, 3707, 276, 28042, 3763, 906, 689, 476, 3707, 276, 547, 476, 3192, 271, 454, 663, 2022, 621, 547, 707, 1514, 3060, 454, 7197, 6435, 995, 21436, 17352, 454, 8450, 782, 6075, 8039, 3436, 0, 763, 1322, 333, 8251, 1871, 540, 10260, 1973, 2079, 538, 22980, 6605, 16211, 2045, 1486, 641, 6973, 344, 6319, 281, 519, 2048, 291, 1132, 572, 671, 21807, 24778, 10552, 5530, 20371, 292, 787, 6605, 16211, 2045, 1486, 641, 6973, 344, 6319, 630, 7968, 303, 264, 568, 519, 1034, 1455, 533, 6973, 344, 6319, 538, 6689, 267, 9306, 609, 11213, 543, 8781, 2960, 17915, 607, 1134, 607, 22980, 29442, 320, 543, 30046, 1310, 3141, 4598, 269, 898, 4564, 606, 15110, 4524, 540, 646, 1889, 10307, 602, 568, 1813, 547, 513, 4389, 7542, 10635, 3559, 520, 848, 11747, 2534, 269, 634, 5868, 568, 2356, 3964, 950, 2589, 1376, 676, 7893, 11506, 2157, 540, 1486, 641, 6973, 10455, 514, 538, 22980, 628, 24945, 5052, 269, 634, 2832, 540, 938, 1353, 729, 547, 2243, 519, 16762, 1871, 540, 10260, 1973, 2079, 538, 20169, 14077, 540, 661, 13048, 2550, 607, 713, 949, 2709, 519, 9998, 2009, 5868, 540, 661, 13048, 538, 20169, 14077, 540, 4299, 2550, 269, 10613, 912, 292, 787, 628, 24945, 974, 533, 6973, 10455, 514, 630, 7968, 264, 729, 6027, 5612, 1310, 4332, 538, 476, 1240, 20169, 14077, 540, 661, 13048, 2550, 269, 21768, 729, 17047, 547, 519, 7766, 4791, 1246, 5346, 540, 1611, 476, 280, 1296, 1310, 4332, 269, 11778, 912, 2171, 1336, 21768, 547, 581, 1369, 4704, 2418, 538, 782, 476, 1240, 20169, 14077, 540, 661, 13048, 2550, 693, 4332, 269, 4934, 540, 476, 1691, 2550, 945, 941, 3769, 538, 519, 1246, 5346, 1974, 540, 11667, 476, 280, 1296, 267, 476, 1724, 7283, 28105, 6466, 835, 7911, 2919, 519, 6093, 2589, 540, 661, 13048, 693, 519, 2085, 540, 1614, 538, 4999, 609, 11506, 21768, 269, 10390, 912, 17780, 593, 519, 4681, 540, 938, 1353, 267, 649, 8263, 602, 10260, 1973, 2079, 568, 711, 513, 6325, 1322, 333, 8251, 1907, 538, 661, 13048, 689, 519, 4890, 1448, 540, 2070, 563, 291, 17805, 7392, 281, 3194, 9137, 454, 288, 742, 8270, 725, 281, 4972, 540, 32536, 1108, 267, 26081, 5341, 1261, 710, 2160, 667, 1132, 572, 671, 21807, 267, 667, 1132, 572, 671, 21807, 267, 5125, 454, 26397, 4266, 281, 5988, 476, 272, 267, 476, 1001, 271, 0, 27670, 543, 661, 22029, 540, 22980, 628, 8145, 807, 454, 5575, 19612, 2422, 281, 476, 5002, 279, 454, 21357, 9502, 540, 22980, 628, 8145, 807, 454, 9596, 2859, 827, 22980, 628, 8145, 807, 454, 21357, 9218, 281, 9502, 540, 22980, 628, 8145, 807, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 22980, 628, 8145, 807, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 8025, 3041, 4959, 589, 14192, 3918, 6311, 12088, 623, 17803, 269, 27429, 1281, 711, 4867, 723, 606, 2376, 593, 713, 1888, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 20931, 540, 3127, 454, 1862, 1729, 519, 3854, 267, 543, 519, 521, 23546, 729, 2451, 609, 1152, 519, 1489, 540, 519, 931, 2869, 2209, 269, 1879, 646, 5747, 538, 476, 16825, 273, 630, 1993, 16236, 936, 1010, 5470, 538, 10385, 267, 519, 12225, 2873, 1867, 1070, 519, 6205, 540, 519, 931, 2869, 2209, 267, 5689, 1731, 715, 5953, 390, 378, 756, 267, 729, 2111, 547, 1118, 5128, 1036, 550, 585, 16334, 30910, 13758, 779, 5634, 5067, 267, 1744, 8811, 5953, 321, 620, 5937, 13682, 333, 8575, 30910, 332, 19476, 323, 630, 516, 11220, 476, 16825, 273, 1700, 14681, 279, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 9465, 1282, 519, 6437, 1646, 5123, 267, 7855, 1590, 2308, 9266, 7744, 543, 3860, 3435, 547, 7753, 891, 23665, 269, 1677, 9414, 267, 15475, 606, 14357, 13341, 4187, 689, 9164, 3823, 519, 6388, 540, 513, 3209, 3450, 1935, 269, 13298, 982, 10205, 532, 519, 2856, 15587, 267, 789, 1223, 1459, 8903, 7440, 16135, 538, 12170, 1239, 11744, 922, 12117, 610, 15974, 12681, 4152, 519, 4640, 593, 513, 4130, 4336, 1354, 12902, 621, 856, 2066, 519, 3003, 8257, 780, 15563, 267, 5807, 5698, 1063, 8639, 4564, 1776, 4105, 5057, 540, 3375, 6194, 543, 1966, 6061, 538, 6437, 1374, 269, 1635, 5473, 16984, 267, 3237, 267, 2146, 2818, 267, 543, 1256, 1053, 2933, 538, 519, 4058, 1184, 267, 7855, 666, 4324, 689, 2789, 5380, 543, 6791, 267, 7551, 23429, 519, 3803, 1587, 269, 3958, 267, 3838, 9562, 540, 519, 4611, 6437, 7512, 4444, 2987, 543, 1489, 689, 782, 6105, 3238, 267, 5009, 3811, 11056, 543, 1279, 3856, 6940, 780, 1103, 3932, 267, 10128, 2565, 3206, 267, 3375, 6194, 267, 543, 1966, 6061, 883, 6437, 1374, 6087, 7855, 547, 4739, 6422, 267, 17841, 267, 543, 8537, 14292, 2326, 602, 8597, 547, 519, 2189, 7569, 540, 4207, 13460, 269, 3414, 6024, 1582, 26190, 267, 6278, 609, 1382, 267, 7580, 2792, 267, 543, 10319, 3646, 267, 2104, 3610, 666, 24917, 741, 2702, 547, 6330, 1950, 7653, 543, 11126, 1565, 4093, 585, 1169, 2875, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 10872, 568, 2966, 547, 1683, 1053, 609, 519, 30095, 543, 3318, 28671, 547, 4001, 2168, 2069, 538, 1312, 3119, 543, 6281, 3506, 538, 15173, 15158, 269, 4841, 616, 7363, 8655, 513, 1445, 540, 1353, 630, 328, 4318, 269, 3119, 610, 6281, 1377, 264, 676, 519, 1439, 540, 741, 1101, 1032, 540, 1353, 269, 23779, 540, 11727, 4116, 4567, 538, 513, 3119, 610, 6281, 1153, 538, 15173, 15158, 568, 1641, 547, 519, 3375, 540, 519, 4065, 13163, 630, 3633, 289, 1916, 5978, 6437, 11363, 3069, 543, 2259, 5610, 267, 543, 13976, 513, 2178, 5748, 538, 5026, 267, 23408, 267, 2257, 267, 6437, 543, 27380, 269, 15316, 3450, 543, 1565, 4485, 616, 6964, 547, 1683, 1053, 609, 3638, 2123, 267, 4081, 543, 3318, 19349, 3255, 269, 19573, 919, 540, 938, 10872, 1058, 581, 834, 31850, 1227, 13473, 257, 609, 1915, 543, 5837, 5539, 282, 16169, 543, 3318, 17284, 282, 7326, 543, 7214, 6278, 282, 543, 18523, 16490, 1145, 543, 1514, 5539, 563, 347, 19138, 25042, 1475, 31863, 11270, 540, 5530, 1475, 297, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 17423, 5336, 1136, 1299, 9046, 14572, 1315, 11879, 15154, 538, 15099, 5071, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 23558, 593, 2921, 707, 1101, 3268, 593, 713, 4241, 4541, 1572, 3047, 256, 1306, 596, 6330, 998, 713, 14542, 14099, 267, 621, 781, 1898, 547, 3715, 3054, 607, 513, 22973, 1367, 269, 901, 3102, 3391, 786, 3802, 596, 998, 519, 1184, 540, 4742, 513, 6325, 543, 4096, 762, 1268, 267, 4543, 596, 1628, 2178, 3347, 609, 3425, 780, 1262, 3721, 476, 272, 281, 13760, 10610, 5678, 630, 16498, 29568, 21143, 4002, 3047, 267, 1875, 31646, 10291, 1404, 513, 1713, 1909, 538, 2792, 269, 1677, 1831, 22973, 267, 596, 991, 547, 581, 3222, 540, 707, 1560, 1893, 543, 922, 1764, 593, 1866, 780, 265, 2878, 8070, 675, 5093, 5776, 909, 2786, 609, 707, 17525, 17159, 267, 23187, 6015, 1510, 14699, 269, 5994, 513, 9543, 30089, 25738, 1996, 707, 1394, 267, 5329, 596, 20005, 563, 453, 266, 3680, 1793, 537, 4221, 610, 10709, 532, 4464, 267, 799, 949, 2285, 519, 12705, 540, 22178, 1465, 610, 31081, 17965, 563, 265, 2878, 292, 6614, 13555, 5093, 6733, 1004, 2047, 538, 519, 3750, 950, 6340, 610, 6947, 269, 901, 2982, 1719, 267, 5609, 1356, 640, 267, 543, 2463, 563, 453, 266, 717, 10270, 693, 519, 8115, 540, 741, 9224, 952, 1463, 3750, 3346, 7959, 13943, 269, 898, 781, 3592, 6650, 1061, 1043, 855, 1869, 27711, 6278, 563, 265, 2878, 293, 18432, 25285, 5093, 3911, 850, 22992, 267, 6029, 707, 4522, 5594, 269, 589, 3636, 12837, 666, 979, 513, 1279, 1259, 538, 9591, 3972, 563, 453, 266, 2142, 13533, 540, 16995, 1159, 3796, 267, 799, 1522, 2408, 1202, 1550, 516, 269, 6657, 32127, 538, 4395, 540, 513, 11604, 547, 1265, 707, 2067, 267, 7874, 4082, 563, 265, 2878, 3682, 343, 14383, 5093, 21727, 2123, 2230, 676, 7555, 693, 606, 3617, 3845, 689, 1866, 630, 12671, 606, 6186, 781, 3259, 1916, 453, 266, 12833, 8172, 2576, 781, 2123, 19389, 666, 1118, 873, 1745, 11552, 6470, 610, 17872, 780, 1262, 3721, 476, 273, 281, 3763, 15765, 23016, 10341, 630, 19723, 4472, 29568, 21143, 8266, 2287, 18906, 1947, 568, 2629, 538, 2679, 3972, 269, 10312, 593, 1620, 519, 824, 1268, 781, 5133, 1384, 265, 2878, 14611, 1555, 16685, 13555, 5093, 15566, 1818, 2834, 3750, 3346, 1247, 2502, 538, 7391, 563, 265, 2878, 301, 617, 3429, 543, 30123, 999, 5093, 16265, 569, 12162, 707, 2212, 610, 946, 1930, 26370, 17267, 547, 1397, 596, 2811, 7722, 543, 1739, 2059, 563, 265, 2878, 22879, 3955, 4533, 687, 5093, 2913, 519, 10584, 9096, 741, 4555, 1354, 14775, 269, 3955, 4533, 532, 666, 1291, 547, 21390, 543, 17140, 563, 265, 2878, 13640, 7469, 19189, 543, 14484, 5093, 19244, 1018, 596, 4312, 6956, 538, 707, 1378, 1913, 267, 4180, 6111, 543, 11744, 3742, 6947, 563, 265, 2878, 16485, 7046, 7232, 526, 539, 5999, 5093, 11559, 6209, 5717, 676, 6998, 2055, 602, 2253, 609, 1018, 267, 875, 267, 610, 1946, 780, 1262, 3721, 476, 274, 281, 4004, 6510, 6356, 1947, 630, 19723, 4472, 29568, 21143, 28733, 543, 9237, 2792, 568, 4105, 538, 9591, 3972, 1384, 265, 2878, 11854, 752, 22682, 543, 4762, 1211, 569, 5093, 2037, 9629, 622, 707, 1913, 267, 9319, 544, 22824, 610, 6445, 518, 4992, 899, 834, 636, 257, 610, 834, 1695, 4799, 265, 2878, 6826, 3690, 8001, 5093, 9523, 4977, 1344, 267, 1373, 5168, 995, 827, 707, 15752, 267, 3527, 267, 543, 4606, 563, 265, 2878, 8196, 1412, 296, 262, 32276, 5093, 5502, 540, 1025, 5446, 1866, 267, 2769, 707, 4555, 1210, 834, 296, 257, 6898, 267, 5009, 12477, 543, 1582, 18221, 563, 265, 2878, 25721, 860, 1125, 4595, 516, 569, 5093, 1879, 9073, 2049, 267, 2709, 9758, 3284, 3098, 267, 7713, 1018, 5949, 543, 875, 596, 3513, 2061, 2147, 3871, 538, 519, 2104, 780, 1262, 3721, 476, 275, 281, 8058, 27919, 543, 4197, 630, 10387, 10899, 11106, 21143, 20779, 2970, 622, 8296, 543, 8223, 2509, 1866, 262, 4664, 1384, 265, 2878, 28403, 1125, 30248, 5093, 10576, 3929, 10291, 971, 607, 3159, 267, 11132, 7215, 267, 543, 1560, 1893, 563, 265, 2878, 288, 1188, 852, 1578, 18461, 902, 5093, 4406, 28371, 1866, 262, 4664, 267, 14344, 741, 2833, 543, 5380, 563, 265, 2878, 17004, 6641, 15797, 5093, 20644, 1489, 543, 7873, 565, 1878, 950, 2877, 267, 18071, 6568, 543, 11587, 780, 1262, 3721, 476, 276, 281, 7427, 3414, 593, 8758, 906, 630, 9824, 6636, 21143, 8256, 626, 1836, 1246, 998, 593, 14767, 547, 3715, 17258, 1384, 265, 2878, 13729, 7464, 2065, 21673, 725, 5093, 5269, 19647, 596, 666, 1483, 12264, 11886, 267, 9319, 936, 335, 668, 2358, 563, 265, 2878, 8620, 3816, 785, 619, 5093, 2422, 2645, 899, 30300, 1513, 267, 4967, 267, 610, 23106, 547, 2327, 596, 3314, 1271, 4247, 543, 21852, 563, 265, 2878, 15973, 6510, 5455, 30098, 5093, 1403, 27644, 6381, 8451, 267, 711, 1518, 4299, 6105, 16425, 267, 3246, 4244, 3435, 8164, 2009, 780, 1262, 3721, 476, 277, 281, 23227, 622, 10055, 1464, 630, 25215, 976, 2225, 21143, 12648, 9562, 540, 707, 3527, 267, 16153, 1154, 9073, 543, 1565, 689, 873, 1384, 265, 2878, 3849, 2466, 27190, 1389, 5093, 25506, 6959, 267, 23294, 1944, 25442, 569, 543, 7713, 1018, 4682, 4636, 563, 265, 2878, 9596, 689, 8210, 5558, 5093, 21302, 9073, 267, 7114, 2127, 585, 6454, 543, 7598, 2242, 563, 265, 2878, 13014, 2549, 1742, 5093, 6875, 6405, 3268, 547, 6439, 1518, 2800, 3361, 676, 707, 9073, 267, 19620, 3666, 543, 31811, 3972, 780, 1262, 289, 517, 639, 9669, 16001, 265, 2878, 20797, 8682, 5025, 16346, 5093, 17115, 2992, 593, 707, 9342, 267, 12755, 267, 2418, 267, 543, 18144, 547, 2087, 3054, 563, 265, 2878, 5353, 2131, 24720, 5093, 9105, 11967, 2043, 585, 16268, 9880, 267, 1210, 621, 547, 13217, 707, 5615, 543, 3664, 563, 265, 2878, 26835, 3117, 11962, 5093, 5899, 633, 547, 2226, 11007, 538, 707, 1913, 267, 3527, 267, 543, 1629, 6756, 528, 267, 5807, 3972, 10290, 1465, 780, 3528, 29367, 1739, 891, 3268, 267, 596, 3513, 1020, 883, 513, 22973, 1367, 267, 8108, 2178, 7554, 609, 1346, 1472, 596, 269, 5457, 267, 3972, 568, 3710, 27261, 958, 267, 865, 1376, 1507, 543, 581, 3461, 269, 2060, 942, 543, 4674, 267, 596, 3513, 7118, 519, 2463, 543, 25621, 540, 1346, 593, 713, 7415, 4541, 2439, 1262, 23558, 267, 1411, 2811, 2290, 5153, 1849, 29141, 547, 29460, 513, 11565, 18976, 12287, 256, 1262, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 22877, 513, 11565, 18976, 12287, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 476, 276, 269, 273, 21909, 687, 585, 26094, 692, 2026, 649, 2282, 519, 1439, 540, 938, 4437, 2684, 12695, 12054, 14373, 267, 621, 568, 1898, 547, 2992, 2390, 1018, 814, 1044, 4843, 543, 4121, 3976, 2484, 543, 2015, 875, 713, 1995, 666, 581, 4824, 3001, 4464, 269, 769, 713, 3296, 267, 649, 786, 1865, 1585, 2409, 585, 3246, 16268, 5955, 543, 2709, 10372, 585, 7393, 1312, 1367, 543, 7104, 2773, 1369, 519, 1979, 2684, 12695, 2146, 269, 1284, 5000, 782, 5171, 547, 8362, 4497, 609, 891, 2093, 543, 3565, 741, 4555, 593, 875, 547, 2087, 2104, 23200, 540, 713, 29519, 780, 288, 269, 11559, 606, 7046, 15511, 692, 763, 1034, 2500, 1259, 547, 6536, 2208, 543, 1646, 568, 676, 2870, 513, 22205, 1604, 1141, 3025, 7959, 6899, 4687, 741, 8369, 543, 2833, 269, 901, 1930, 5188, 6087, 721, 547, 2697, 9342, 267, 12755, 267, 543, 3255, 585, 6454, 811, 8308, 269, 1635, 8716, 3742, 6947, 543, 28450, 2792, 267, 649, 666, 3715, 513, 11215, 1565, 2146, 6131, 547, 2123, 543, 3318, 13120, 780, 289, 269, 3752, 7228, 16930, 24720, 692, 2691, 5275, 3403, 689, 1866, 267, 621, 568, 2629, 547, 2307, 11329, 2055, 602, 29360, 6405, 6114, 269, 13298, 982, 3274, 6998, 2436, 2576, 10150, 610, 15874, 513, 1880, 2460, 540, 519, 29519, 267, 10460, 14511, 971, 607, 1384, 265, 1548, 729, 519, 1034, 3407, 3992, 610, 5813, 6591, 1282, 519, 8400, 888, 265, 21518, 972, 1022, 3584, 610, 2035, 602, 941, 15458, 610, 14845, 286, 1403, 865, 267, 799, 3283, 888, 265, 1215, 1522, 519, 6881, 2511, 610, 3898, 581, 14661, 547, 1732, 13918, 1114, 1565, 6163, 888, 265, 3657, 972, 1022, 2200, 630, 324, 3052, 1421, 13220, 267, 7044, 267, 7317, 2238, 264, 602, 1223, 7110, 519, 4540, 6437, 2496, 4322, 2010, 540, 2055, 948, 22942, 2127, 8506, 6454, 543, 1683, 29829, 7840, 585, 5466, 873, 780, 290, 269, 14484, 593, 9608, 13437, 692, 1103, 1840, 547, 1151, 545, 1746, 5007, 5955, 267, 1491, 942, 547, 1582, 18022, 937, 593, 707, 1378, 7418, 547, 519, 29519, 269, 6333, 519, 1739, 12987, 1384, 265, 6904, 3344, 540, 1250, 7589, 1705, 594, 1265, 1034, 14785, 286, 2274, 770, 17598, 286, 4208, 888, 265, 9894, 594, 3927, 5968, 1250, 2093, 543, 4030, 547, 8284, 28752, 888, 265, 2549, 594, 13854, 609, 519, 1377, 540, 6278, 7152, 2429, 519, 7886, 286, 1403, 711, 267, 875, 1522, 594, 2333, 5872, 543, 5698, 1851, 5171, 888, 265, 5620, 594, 3144, 2407, 5413, 540, 2139, 2200, 267, 1519, 16823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3412, 332, 580, 7847, 1996, 519, 3557, 454, 10666, 519, 3883, 5804, 519, 476, 6642, 271, 338, 998, 519, 476, 3707, 271, 338, 267, 9937, 540, 5215, 540, 1101, 268, 543, 2034, 22831, 11082, 17947, 519, 29450, 626, 2014, 1310, 21945, 593, 1977, 24528, 269, 8230, 27267, 2098, 20810, 7710, 1946, 891, 20404, 5828, 547, 29450, 1143, 543, 875, 741, 10073, 540, 922, 16809, 8032, 741, 9163, 267, 2833, 267, 543, 3527, 563, 313, 20810, 6212, 593, 32228, 2103, 543, 8109, 3864, 7642, 538, 5842, 12770, 267, 1715, 3840, 4975, 267, 543, 4793, 3205, 267, 1715, 14948, 269, 32274, 519, 3350, 781, 4657, 6830, 17480, 689, 519, 840, 1700, 13328, 2782, 594, 5736, 998, 519, 5053, 6406, 2782, 267, 2098, 20810, 13187, 602, 29450, 1235, 267, 10353, 547, 1312, 1977, 543, 6196, 2622, 18541, 267, 694, 30099, 782, 27589, 547, 741, 6082, 540, 5169, 855, 849, 5706, 539, 21939, 883, 741, 3984, 2486, 269, 4256, 9097, 14421, 641, 13457, 19773, 543, 3961, 3079, 17947, 4763, 543, 6905, 17604, 2066, 3084, 267, 6803, 267, 543, 7292, 17337, 269, 9282, 538, 519, 1439, 8572, 547, 16641, 519, 593, 16435, 4381, 540, 1977, 1143, 543, 824, 3084, 3359, 267, 519, 3350, 20866, 3177, 606, 1271, 1383, 540, 513, 30427, 7104, 3961, 1642, 22075, 689, 519, 4182, 15581, 543, 7292, 25327, 563, 265, 22910, 540, 713, 1433, 729, 6462, 676, 513, 9886, 689, 519, 2160, 540, 7147, 693, 1488, 28002, 563, 10666, 519, 8191, 298, 523, 27267, 2098, 20810, 568, 606, 13930, 7548, 540, 1686, 693, 519, 2160, 540, 7147, 693, 1488, 28002, 563, 18800, 338, 257, 7197, 1053, 540, 2475, 9097, 1143, 723, 1279, 10924, 602, 29450, 1143, 729, 4547, 547, 519, 2475, 538, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 676, 11082, 689, 9456, 543, 7013, 2342, 269, 2098, 20810, 9727, 602, 519, 1483, 1650, 568, 811, 7294, 269, 30318, 1701, 734, 2419, 4069, 454, 257, 313, 20810, 781, 31150, 1382, 568, 11141, 269, 1547, 1547, 1547, 513, 4241, 6514, 540, 519, 16799, 540, 2043, 540, 1585, 6803, 885, 269, 1547, 1547, 3238, 609, 29450, 1143, 543, 922, 1623, 12949, 9088, 538, 5842, 12770, 1701, 734, 17220, 5623, 540, 4317, 3778, 454, 257, 11039, 21503, 543, 1714, 13228, 550, 1701, 734, 297, 28779, 3883, 7027, 454, 21893, 568, 2693, 547, 581, 606, 1898, 960, 593, 19366, 29450, 1143, 585, 1296, 547, 2097, 1701, 734, 295, 9539, 564, 17352, 454, 257, 19352, 532, 593, 606, 11141, 543, 13778, 5044, 540, 962, 1342, 880, 268, 543, 7969, 25082, 2959, 267, 2098, 20810, 3877, 1312, 519, 20748, 4296, 543, 17801, 32241, 9465, 602, 6462, 543, 9674, 29450, 626, 2950, 269, 1547, 1547, 1547, 2098, 20810, 781, 1382, 543, 9165, 568, 679, 9871, 14037, 269, 1547, 1547, 1547, 2098, 20810, 781, 5386, 1433, 568, 16832, 1701, 734, 763, 4750, 540, 1977, 3778, 454, 257, 313, 20810, 814, 3812, 513, 3532, 1257, 602, 6770, 547, 1272, 3875, 16618, 30280, 543, 3648, 21040, 938, 1620, 540, 4550, 3613, 520, 626, 1514, 5322, 538, 519, 1101, 3368, 540, 519, 14206, 2540, 269, 1547, 1547, 1547, 901, 1799, 659, 592, 2299, 21503, 543, 5402, 7768, 1395, 1748, 3976, 5036, 513, 1007, 3046, 585, 519, 1353, 540, 29450, 1143, 1701, 734, 2304, 1105, 626, 5525, 454, 257, 3412, 332, 580, 7847, 1996, 519, 3557, 9397, 1007, 2666, 538, 29450, 626, 1686, 543, 3091, 513, 12905, 9295, 547, 519, 1702, 540, 19366, 9097, 1143, 267, 2250, 543, 1459, 269, 898, 568, 1898, 2542, 585, 1053, 543, 5640, 540, 9097, 543, 11776, 1686, 267, 543, 585, 4896, 5461, 538, 3695, 19366, 2729, 6825, 676, 513, 30427, 7104, 3961, 602, 17947, 4763, 7488, 540, 519, 3084, 267, 6803, 543, 7292, 17337, 269, 734, 24248, 712, 3778, 454, 21202, 3857, 958, 1271, 30427, 960, 602, 2306, 1713, 7459, 883, 519, 2351, 25086, 540, 11776, 267, 29450, 1143, 267, 4074, 543, 519, 2324, 1362, 267, 543, 3735, 5991, 12078, 547, 2038, 14206, 10601, 6214, 1701, 734, 13563, 8466, 5623, 454, 257, 2304, 8626, 27274, 1134, 1673, 29545, 543, 18398, 1224, 1701, 734, 2005, 6501, 1977, 5623, 454, 21202, 4190, 267, 24215, 1134, 3146, 572, 2117, 1117, 960, 540, 30427, 1686, 1701, 734, 4692, 6598, 4750, 540, 3778, 454, 257, 3849, 332, 4275, 29087, 267, 519, 2278, 3096, 7969, 268, 543, 962, 1342, 880, 25082, 2959, 547, 3132, 835, 540, 519, 1034, 3573, 6589, 540, 29450, 1143, 538, 14206, 10601, 3013, 269, 2290, 540, 519, 1655, 12583, 540, 29450, 1143, 538, 519, 2136, 2276, 1701, 734, 307, 3415, 631, 7865, 3149, 267, 2278, 540, 589, 9605, 538, 4256, 9839, 338, 281, 962, 1342, 880, 4317, 1235, 538, 1715, 3840, 454, 19285, 723, 1044, 7996, 585, 513, 1433, 899, 713, 585, 513, 1279, 942, 267, 835, 602, 6645, 540, 519, 3818, 30710, 543, 30427, 1158, 540, 2038, 14206, 10601, 29450, 1143, 267, 711, 1175, 689, 519, 5133, 540, 519, 29200, 5515, 267, 855, 689, 519, 6371, 5072, 269, 2098, 20810, 568, 1312, 513, 3810, 22064, 1650, 339, 11839, 543, 513, 22111, 267, 6297, 11001, 4171, 2272, 5205, 713, 1686, 998, 513, 5963, 27314, 2039, 540, 2959, 538, 962, 1342, 880, 267, 7969, 267, 5053, 267, 4436, 267, 543, 2296, 267, 689, 21517, 2066, 519, 8608, 269, 901, 568, 519, 1007, 5108, 540, 30427, 2324, 11665, 1686, 693, 922, 1360, 1655, 1701, 734, 297, 3317, 11717, 717, 1872, 331, 1408, 15879, 267, 2278, 540, 12389, 519, 7169, 281, 7969, 6468, 781, 18650, 543, 7101, 673, 1143, 538, 1715, 3840, 4975, 267, 476, 6642, 271, 1700, 3707, 276, 454, 21202, 2540, 3516, 267, 29450, 1235, 941, 10876, 267, 513, 3350, 538, 3586, 3350, 269, 11109, 27058, 519, 4654, 540, 519, 1079, 4102, 2516, 540, 19366, 29450, 1235, 538, 519, 2136, 2276, 267, 8230, 27267, 2098, 20810, 19267, 15982, 23609, 540, 741, 962, 1342, 880, 268, 543, 7969, 18702, 10600, 269, 634, 1433, 786, 581, 2838, 2542, 585, 782, 5640, 540, 19366, 9097, 1143, 269, 2859, 17618, 267, 4896, 5461, 538, 519, 1950, 28963, 540, 1362, 267, 10688, 267, 543, 2528, 538, 938, 1378, 2053, 786, 1265, 1454, 547, 31739, 538, 519, 14421, 641, 13457, 1143, 543, 3486, 1143, 11082, 2813, 607, 789, 15527, 547, 519, 10795, 28929, 6214, 540, 741, 1378, 2053, 1701, 734, 10673, 3534, 681, 269, 18637, 3147, 807, 267, 2278, 540, 26790, 543, 1977, 16844, 281, 589, 4317, 543, 8836, 3778, 0, 5278, 540, 519, 7682, 687, 2069, 14787, 667, 1014, 324, 24497, 3558, 2306, 827, 22497, 3506, 1810, 1406, 3180, 1216, 538, 16127, 267, 1141, 519, 3506, 723, 1447, 13190, 543, 7616, 982, 538, 824, 2829, 563, 1103, 1200, 1655, 5498, 29818, 1433, 834, 763, 12280, 543, 5020, 540, 519, 4279, 1977, 3427, 3590, 281, 1215, 13281, 543, 14893, 616, 7201, 332, 1456, 4065, 2437, 24497, 3558, 11339, 602, 22497, 3506, 3622, 7048, 593, 936, 1740, 539, 267, 1875, 684, 542, 1242, 3610, 267, 2057, 679, 13764, 519, 991, 5006, 1053, 543, 616, 12721, 609, 267, 2864, 982, 9148, 532, 267, 1857, 3506, 563, 301, 27197, 19317, 2600, 540, 22497, 3506, 2308, 1875, 684, 542, 3610, 267, 1352, 1767, 269, 1809, 602, 779, 711, 519, 2013, 538, 16127, 267, 1141, 519, 16127, 3557, 11334, 5948, 4564, 1312, 22497, 543, 2834, 1153, 974, 18291, 563, 5415, 982, 3368, 519, 1533, 779, 476, 4029, 22497, 3506, 616, 22963, 2275, 11857, 1759, 267, 7674, 606, 6805, 2551, 13840, 9207, 5703, 538, 519, 2834, 1153, 1062, 269, 1656, 5176, 3368, 540, 16127, 779, 22497, 1153, 1053, 20618, 585, 1863, 610, 4389, 17376, 823, 12899, 267, 2687, 547, 16127, 779, 25943, 3427, 8556, 13577, 8433, 563, 2419, 6621, 3506, 616, 1641, 547, 3143, 4132, 19382, 19992, 267, 519, 16127, 3557, 10495, 543, 519, 1533, 779, 1543, 543, 2773, 4441, 267, 519, 1482, 607, 2834, 1857, 3506, 269, 1809, 789, 4309, 1447, 1533, 7616, 267, 950, 7229, 829, 20194, 267, 982, 2834, 1857, 3506, 267, 2687, 547, 519, 595, 6347, 302, 563, 295, 1177, 2967, 328, 779, 2582, 267, 1533, 4204, 1857, 1153, 8664, 267, 14102, 693, 519, 1533, 1377, 2864, 982, 676, 2199, 3959, 9204, 267, 568, 2189, 1851, 519, 772, 2529, 269, 2829, 269, 24497, 3558, 1767, 538, 513, 15146, 5967, 602, 16127, 779, 22497, 1153, 1062, 4667, 2189, 267, 1932, 267, 4946, 602, 834, 531, 2865, 1022, 3948, 602, 4896, 1223, 1118, 827, 22497, 3506, 568, 2469, 547, 581, 4636, 538, 930, 1880, 1701, 1317, 540, 519, 3309, 2470, 540, 519, 25191, 267, 5033, 807, 583, 26127, 5238, 269, 0, 268, 476, 272, 5808, 5249, 585, 29337, 888, 268, 476, 273, 5808, 729, 16110, 779, 966, 303, 1310, 29337, 759, 11220, 888, 268, 476, 274, 1548, 5949, 547, 3627, 661, 15590, 28727, 2006, 888, 268, 476, 275, 1548, 1705, 5518, 29337, 798, 547, 1205, 30664, 3737, 888, 268, 476, 276, 6904, 7022, 729, 2760, 9310, 888, 268, 476, 277, 5808, 729, 10584, 540, 519, 5600, 950, 29337, 759, 11220, 888, 268, 476, 278, 6904, 7022, 814, 1152, 6039, 835, 2165, 888, 268, 476, 279, 12984, 29337, 513, 2372, 6033, 888, 268, 476, 280, 2201, 1018, 12406, 1705, 29337, 20549, 547, 2490, 936, 7148, 525, 1282, 1010, 16232, 29317, 888, 268, 476, 1015, 5808, 729, 7022, 1354, 29337, 888, 268, 476, 1556, 4208, 1705, 29337, 2307, 16199, 12047, 534, 547, 4734, 1010, 2990, 888, 268, 476, 1321, 1548, 729, 1713, 827, 519, 13414, 602, 29337, 7148, 539, 1010, 7391, 888, 8005, 5249, 585, 29337, 888, 2419, 3971, 540, 16065, 670, 269, 681, 269, 16199, 12047, 534, 543, 9666, 518, 3627, 661, 15590, 28727, 2006, 7153, 607, 1010, 1079, 1034, 9565, 5234, 619, 3823, 6469, 12602, 267, 543, 1454, 540, 29337, 779, 5872, 609, 824, 5234, 2818, 729, 5342, 998, 16199, 12047, 534, 563, 8005, 729, 16110, 779, 966, 303, 1310, 29337, 759, 11220, 888, 293, 867, 779, 1569, 542, 547, 519, 24164, 2451, 519, 5604, 540, 13030, 7022, 7477, 656, 269, 2201, 4864, 476, 736, 267, 476, 3192, 275, 267, 16110, 9930, 3990, 20307, 18842, 651, 325, 11839, 267, 519, 6205, 540, 519, 5428, 779, 12666, 13617, 267, 585, 519, 13030, 24164, 563, 1432, 5949, 547, 3627, 661, 15590, 28727, 2006, 888, 292, 15590, 28727, 2006, 5747, 540, 8374, 689, 3987, 538, 24611, 538, 476, 1960, 280, 267, 1310, 19944, 5224, 31533, 5574, 563, 1432, 1705, 5518, 29337, 798, 547, 1205, 30664, 3737, 888, 763, 5600, 7225, 26547, 9730, 1287, 9516, 4930, 540, 30664, 16670, 1996, 29337, 585, 25518, 540, 5126, 267, 6057, 540, 1379, 267, 543, 733, 3319, 540, 6837, 269, 2060, 1010, 635, 13109, 538, 519, 3382, 5346, 1500, 1857, 543, 1010, 2797, 1489, 4625, 2144, 10757, 267, 29337, 759, 11220, 689, 5604, 593, 4864, 476, 280, 267, 476, 3192, 275, 563, 7617, 7022, 729, 2760, 9310, 888, 22832, 29246, 534, 534, 267, 519, 476, 1428, 628, 5518, 540, 519, 2136, 2276, 630, 6977, 278, 268, 5908, 272, 1070, 6039, 5612, 1991, 547, 519, 1977, 6406, 2782, 269, 1261, 3788, 519, 1152, 5518, 547, 581, 11221, 689, 12425, 543, 547, 2611, 513, 15400, 20277, 563, 8005, 729, 10584, 540, 519, 5600, 950, 29337, 759, 11220, 888, 19064, 677, 11681, 540, 14161, 15751, 607, 29150, 540, 519, 772, 2529, 269, 5600, 540, 24929, 2008, 347, 5379, 628, 29150, 540, 519, 2136, 2276, 5600, 540, 24929, 2008, 347, 1103, 5604, 5130, 476, 2641, 267, 476, 3192, 272, 1107, 5130, 476, 274, 267, 476, 3192, 278, 2008, 347, 28347, 1475, 32178, 29337, 717, 14283, 16110, 2008, 7617, 7022, 814, 1152, 6039, 835, 2165, 888, 15430, 6342, 676, 942, 538, 5604, 454, 31340, 1678, 1475, 28347, 1475, 10831, 540, 2474, 2008, 347, 2420, 17063, 1475, 13051, 15924, 26858, 1475, 3080, 2407, 2165, 2008, 347, 19365, 20999, 570, 10762, 1475, 3080, 2407, 2165, 2008, 347, 15463, 6975, 14208, 1478, 1475, 3080, 2407, 2165, 2008, 347, 297, 574, 3240, 25020, 1475, 3080, 2407, 2165, 2008, 24078, 29337, 513, 2372, 6033, 888, 32178, 6660, 327, 748, 29337, 630, 20464, 476, 280, 267, 476, 4489, 274, 1107, 4989, 476, 2420, 267, 476, 1960, 275, 264, 729, 519, 476, 4391, 628, 7022, 540, 519, 2136, 2276, 267, 7674, 689, 476, 3422, 280, 547, 476, 3192, 275, 269, 29337, 729, 4535, 883, 513, 4057, 1920, 540, 2372, 5474, 538, 513, 1507, 4884, 538, 8828, 4993, 269, 1261, 21783, 689, 16099, 2160, 3427, 540, 4521, 538, 476, 4350, 278, 543, 8120, 547, 4993, 547, 2259, 1876, 563, 4002, 1018, 12406, 1705, 29337, 20549, 547, 2490, 936, 7148, 525, 1282, 1010, 16232, 29317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7142, 547, 973, 924, 693, 519, 1448, 540, 519, 15922, 517, 564, 269, 3733, 1647, 1153, 5258, 2516, 540, 5049, 883, 6887, 267, 1142, 3957, 1310, 513, 3109, 5869, 269, 8307, 3883, 518, 570, 6115, 3893, 1079, 6887, 630, 763, 834, 9349, 518, 570, 257, 2319, 543, 519, 834, 29910, 257, 2319, 8094, 11101, 267, 519, 2093, 4359, 676, 6115, 267, 15983, 29653, 538, 1010, 942, 267, 14201, 1405, 4010, 1934, 3749, 538, 519, 1686, 540, 3109, 2069, 269, 3143, 1447, 982, 19291, 30463, 2899, 11130, 1996, 11488, 3109, 15685, 2006, 547, 1451, 834, 31528, 543, 5824, 257, 538, 3870, 540, 811, 4052, 4938, 725, 912, 16914, 25383, 607, 649, 723, 1044, 547, 519, 13193, 326, 615, 543, 9875, 12331, 540, 2713, 267, 543, 540, 11543, 513, 17612, 267, 649, 3112, 543, 649, 11129, 711, 547, 4126, 602, 538, 513, 2582, 20014, 689, 938, 1970, 2783, 267, 649, 666, 3914, 602, 540, 3687, 8651, 267, 4521, 14636, 267, 24930, 267, 3798, 6002, 267, 8585, 577, 1218, 267, 3092, 269, 1452, 786, 8969, 1652, 581, 25189, 676, 721, 282, 855, 713, 786, 1152, 581, 950, 649, 723, 3461, 569, 543, 4074, 13124, 267, 543, 594, 949, 1039, 6707, 267, 27058, 543, 5293, 998, 519, 13591, 5552, 725, 540, 6683, 543, 519, 2964, 545, 6575, 269, 14755, 267, 972, 616, 630, 663, 5310, 713, 568, 513, 1732, 2601, 585, 1250, 2070, 540, 519, 2013, 264, 3875, 5238, 540, 1565, 538, 713, 2197, 267, 2907, 16207, 1930, 547, 11954, 6107, 2483, 2171, 1590, 1831, 11707, 282, 649, 1590, 1628, 607, 1134, 607, 2661, 538, 8075, 282, 649, 1590, 1118, 607, 1134, 607, 946, 11647, 282, 649, 1590, 4020, 13123, 607, 1134, 607, 1780, 936, 873, 267, 1354, 649, 666, 5265, 2661, 610, 581, 15197, 676, 938, 8284, 2367, 269, 1284, 991, 11707, 607, 1134, 607, 26110, 269, 1284, 991, 4600, 538, 4401, 267, 10036, 267, 543, 16463, 269, 1284, 723, 610, 2209, 267, 4589, 267, 543, 824, 3318, 2367, 267, 855, 891, 3914, 1152, 513, 1978, 1362, 267, 543, 1205, 2463, 585, 938, 5198, 538, 1978, 2824, 10580, 269, 1677, 2661, 1934, 607, 649, 11129, 649, 1590, 3728, 523, 6000, 547, 938, 2197, 5443, 998, 741, 1169, 6377, 267, 29039, 6499, 269, 1284, 1590, 711, 1152, 581, 2111, 547, 3109, 25192, 267, 855, 547, 1118, 873, 269, 2311, 1459, 649, 616, 267, 538, 519, 7187, 2276, 267, 7164, 607, 11707, 269, 1284, 2285, 1100, 6169, 540, 21184, 610, 5578, 693, 519, 10315, 267, 3557, 267, 610, 3084, 4023, 338, 269, 1284, 616, 7164, 693, 1022, 540, 519, 1390, 24218, 540, 519, 2872, 540, 938, 8284, 2275, 527, 714, 839, 267, 543, 1373, 7164, 267, 649, 616, 796, 4621, 30872, 563, 306, 895, 5432, 286, 30463, 729, 267, 693, 602, 1448, 267, 12394, 547, 6318, 7482, 585, 513, 25367, 1153, 267, 513, 5326, 799, 6115, 1131, 11886, 563, 14937, 25743, 899, 547, 31363, 519, 1249, 602, 789, 4866, 547, 519, 5428, 540, 15525, 654, 3530, 956, 543, 2840, 750, 1143, 676, 19696, 3883, 518, 570, 269, 6115, 607, 513, 2203, 269, 1809, 6466, 891, 25743, 4043, 547, 2721, 741, 1489, 3592, 7357, 689, 16543, 267, 3883, 518, 570, 269, 6115, 729, 519, 8789, 3109, 6205, 540, 1010, 942, 269, 6115, 267, 1454, 899, 519, 8789, 3109, 6205, 540, 938, 942, 267, 729, 1979, 24055, 269, 1261, 3710, 513, 3109, 9872, 267, 602, 13473, 3109, 1004, 267, 543, 3576, 1010, 5048, 547, 3109, 5304, 269, 769, 2110, 267, 6115, 729, 513, 16048, 5214, 3109, 15061, 267, 12082, 538, 519, 3109, 2146, 267, 4412, 8215, 8521, 676, 1010, 2078, 547, 602, 2146, 563, 763, 4890, 5072, 540, 670, 9007, 595, 664, 781, 834, 28090, 13195, 1117, 257, 16472, 2482, 711, 538, 519, 1913, 540, 6115, 267, 855, 538, 1776, 2797, 2245, 734, 1492, 2245, 540, 10213, 3043, 17069, 1235, 1018, 789, 899, 547, 5873, 912, 296, 993, 16119, 12082, 538, 519, 24235, 602, 2258, 549, 1143, 267, 607, 30833, 538, 519, 1977, 1826, 267, 568, 606, 10182, 540, 2790, 5860, 267, 513, 2186, 540, 5289, 2283, 6681, 1145, 2483, 763, 2258, 549, 711, 1152, 19330, 513, 4023, 4110, 540, 16022, 1702, 267, 855, 865, 10053, 568, 1010, 1620, 602, 646, 9420, 569, 5205, 20868, 6720, 553, 625, 543, 12404, 748, 943, 656, 1682, 269, 1924, 1390, 568, 1010, 2392, 850, 794, 538, 713, 4287, 267, 602, 646, 5526, 24835, 762, 540, 1620, 519, 3017, 1063, 2963, 543, 25195, 267, 6169, 543, 1147, 332, 1047, 269, 1452, 5013, 15549, 519, 3932, 602, 2258, 549, 4987, 568, 1312, 21603, 543, 1642, 15133, 267, 1317, 267, 1498, 971, 1004, 14133, 538, 973, 565, 27928, 540, 513, 6405, 1843, 267, 741, 1427, 550, 633, 8823, 798, 711, 5512, 873, 547, 1118, 1022, 3407, 17429, 2388, 267, 2901, 689, 519, 1843, 3294, 267, 610, 689, 741, 5432, 1995, 609, 621, 563, 6546, 781, 5261, 30567, 756, 531, 7338, 513, 3109, 812, 267, 945, 538, 1010, 942, 267, 1185, 2938, 1010, 2671, 540, 10168, 543, 15093, 269, 1809, 8055, 6038, 4956, 547, 2427, 609, 519, 3043, 17069, 1235, 540, 1010, 942, 267, 607, 10353, 547, 1996, 873, 269, 8055, 10150, 827, 607, 1454, 3109, 1489, 1287, 267, 607, 670, 9007, 595, 664, 21593, 1631, 269, 1261, 1336, 1100, 10116, 538, 519, 3109, 2146, 734, 548, 770, 540, 782, 689, 835, 3883, 518, 570, 267, 6115, 734, 834, 2005, 568, 8909, 547, 1589, 540, 513, 812, 1510, 513, 2197, 2437, 6115, 5206, 540, 8055, 269, 834, 2005, 568, 1256, 8909, 1457, 547, 1589, 540, 513, 812, 1510, 513, 5198, 4799, 20751, 3109, 5718, 267, 519, 12732, 540, 6115, 781, 2797, 28738, 344, 568, 2864, 10875, 269, 898, 2882, 3109, 3084, 1235, 899, 29849, 12275, 3272, 630, 15367, 11855, 6115, 607, 3310, 264, 543, 29346, 2473, 630, 3369, 846, 3237, 941, 12275, 3272, 2572, 4700, 898, 2882, 9291, 15328, 2421, 543, 4446, 871, 15525, 630, 553, 594, 11130, 1934, 4700, 1656, 621, 2882, 1250, 4563, 23202, 615, 4651, 267, 945, 1031, 547, 3196, 1922, 3975, 721, 13066, 540, 5455, 3245, 26913, 269, 1703, 568, 267, 607, 972, 2141, 814, 1044, 267, 513, 1804, 1297, 540, 3109, 11122, 2510, 269, 2334, 789, 7361, 4755, 547, 8917, 14891, 3081, 811, 827, 519, 717, 8008, 1287, 621, 1281, 827, 834, 28090, 31290, 4799, 763, 10206, 540, 1582, 25298, 543, 2804, 1379, 568, 7184, 6822, 10631, 633, 543, 814, 2141, 1185, 2178, 9029, 538, 519, 3109, 2146, 269, 898, 781, 4313, 532, 547, 1589, 602, 3109, 1004, 14460, 621, 1317, 789, 941, 6822, 340, 1027, 676, 3552, 31991, 15628, 269, 769, 1249, 1100, 835, 1705, 811, 547, 15739, 9016, 6115, 781, 2093, 982, 519, 3043, 17069, 1235, 945, 12943, 1010, 1289, 585, 598, 16624, 609, 519, 10782, 5951, 540, 1753, 3766, 3497, 9810, 538, 1977, 1686, 267, 543, 519, 2229, 8387, 945, 267, 693, 1169, 1377, 267, 2901, 6743, 2476, 610, 8678, 538, 563, 4517, 2943, 950, 596, 1413, 693, 519, 9840, 936, 875, 15525, 9607, 3109, 9458, 267, 621, 781, 2312, 602, 6115, 679, 706, 637, 563, 2108, 2080, 568, 1018, 594, 1131, 899, 585, 596, 547, 917, 281, 769, 3013, 267, 621, 568, 2757, 547, 6861, 519, 3109, 1560, 22924, 568, 6561, 3034, 8310, 10732, 519, 3984, 540, 513, 2442, 3377, 1397, 4280, 803, 1018, 621, 5921, 547, 6336, 1250, 1560, 269, 634, 3984, 729, 31076, 689, 6115, 267, 667, 5861, 1421, 543, 594, 729, 27206, 538, 513, 6552, 18638, 593, 519, 10787, 4639, 17121, 540, 24607, 269, 589, 9682, 6806, 519, 5195, 1063, 721, 267, 855, 1100, 12227, 1223, 2673, 519, 7934, 1063, 1200, 1158, 543, 519, 1158, 585, 799, 594, 1185, 1044, 2040, 3000, 539, 547, 3717, 269, 1879, 519, 3984, 4280, 803, 827, 1250, 1560, 267, 1200, 3068, 535, 12184, 689, 519, 5496, 267, 543, 729, 8719, 676, 513, 20801, 540, 1913, 267, 2854, 676, 803, 4505, 602, 3018, 563, 763, 3984, 1224, 891, 1913, 585, 519, 5304, 267, 543, 950, 1352, 8737, 1352, 5828, 547, 519, 1641, 540, 1250, 1560, 267, 4352, 1352, 1705, 711, 2446, 621, 4481, 269, 1809, 676, 1631, 594, 993, 26224, 547, 10995, 1004, 6998, 827, 519, 2783, 540, 1250, 1560, 1510, 16734, 519, 2470, 540, 741, 7662, 269, 13018, 267, 519, 3984, 24714, 547, 917, 1946, 594, 5433, 602, 3043, 3013, 779, 3356, 267, 610, 2864, 519, 3356, 540, 1346, 4892, 945, 3494, 602, 789, 616, 3043, 267, 729, 3710, 593, 561, 17415, 543, 5208, 269, 24651, 713, 267, 594, 5433, 606, 2025, 543, 967, 626, 3307, 18354, 1134, 909, 538, 803, 269, 634, 2626, 547, 713, 2243, 568, 519, 2594, 540, 519, 21071, 2933, 269, 634, 2626, 568, 1977, 1686, 563, 6124, 1239, 2982, 602, 1053, 4171, 3237, 1118, 1447, 2724, 11654, 811, 968, 2224, 995, 892, 5396, 267, 971, 607, 2979, 610, 6323, 563, 1103, 476, 9965, 271, 267, 3627, 17566, 5206, 513, 4484, 547, 1010, 7385, 267, 2806, 580, 841, 267, 538, 799, 646, 9788, 856, 1010, 4566, 585, 1018, 1010, 1453, 543, 6264, 18244, 1131, 25058, 741, 2729, 547, 269, 11109, 5128, 3144, 519, 942, 547, 4487, 968, 303, 7035, 6506, 543, 2782, 2223, 1079, 12316, 29476, 267, 17566, 12479, 1010, 1453, 1131, 979, 883, 10459, 602, 15469, 4182, 20671, 267, 971, 607, 968, 3901, 11490, 802, 2223, 968, 333, 3572, 566, 2223, 543, 968, 1260, 12692, 1848, 3571, 1544, 729, 602, 538, 2490, 267, 1346, 4052, 5396, 1131, 2285, 1010, 1453, 779, 1453, 4055, 968, 1729, 1353, 7206, 267, 6965, 267, 1660, 1157, 267, 6189, 267, 2493, 4231, 267, 13795, 267, 543, 11188, 4897, 12578, 3034, 10521, 3620, 4348, 543, 13977, 19317, 1296, 2663, 267, 713, 11144, 1765, 2108, 5228, 21847, 547, 546, 850, 1777, 656, 525, 2223, 538, 519, 1913, 540, 519, 5339, 16159, 2983, 32015, 717, 5306, 4498, 874, 600, 1765, 680, 904, 856, 1454, 607, 17566, 12479, 621, 1131, 281, 4495, 2883, 4145, 723, 1044, 4988, 676, 741, 3237, 267, 1453, 723, 811, 20173, 547, 1353, 1447, 31544, 1919, 538, 1153, 269, 13690, 1284, 539, 523, 267, 513, 1914, 6048, 693, 26658, 267, 6743, 693, 2817, 4741, 585, 4065, 10803, 1239, 585, 803, 1310, 594, 4280, 1200, 827, 713, 7613, 267, 543, 1200, 2079, 7000, 602, 267, 9811, 267, 519, 2179, 540, 2724, 513, 2852, 2875, 779, 3237, 1118, 1281, 30136, 609, 1018, 602, 1268, 2090, 269, 8866, 689, 2539, 13867, 3885, 4043, 4724, 968, 2224, 995, 892, 32407, 267, 971, 607, 2780, 2257, 267, 2979, 267, 543, 6323, 269, 8409, 4171, 3237, 1118, 811, 2724, 26600, 547, 1686, 267, 2296, 267, 543, 7900, 6575, 563, 9377, 1456, 1455, 2686, 7924, 585, 606, 5051, 3309, 4182, 454, 3674, 519, 2528, 2112, 936, 888, 6546, 4667, 606, 21494, 2243, 269, 901, 568, 606, 2085, 950, 20752, 20375, 1869, 1796, 282, 950, 3043, 17376, 643, 850, 613, 24677, 1143, 568, 1147, 3101, 593, 1514, 2923, 282, 950, 9777, 2209, 543, 7855, 538, 14151, 543, 7147, 15974, 7333, 940, 6803, 2090, 538, 1857, 3506, 543, 3651, 9499, 552, 1575, 1335, 1944, 519, 10553, 4123, 282, 950, 4250, 540, 17104, 543, 7489, 11082, 3788, 2178, 2614, 547, 2061, 11776, 6963, 538, 6837, 282, 950, 519, 2241, 25195, 602, 1948, 14937, 299, 1161, 300, 2660, 3112, 581, 7608, 676, 782, 855, 568, 3079, 29653, 4620, 592, 14688, 676, 1082, 1875, 15918, 2931, 607, 8954, 633, 267, 1256, 25641, 563, 4517, 602, 779, 3168, 1152, 693, 5198, 269, 5410, 4008, 267, 15963, 267, 575, 904, 267, 543, 2696, 547, 519, 3575, 543, 519, 2528, 2112, 4667, 547, 581, 986, 3101, 2059, 3833, 23182, 563, 3080, 2601, 585, 519, 4797, 4187, 547, 519, 32285, 5516, 2920, 568, 513, 21354, 25302, 2239, 540, 875, 621, 2968, 1876, 563, 763, 772, 2529, 269, 10966, 7040, 779, 7415, 476, 277, 268, 274, 3375, 538, 3751, 642, 269, 8738, 6202, 17990, 519, 32285, 5516, 2920, 689, 859, 529, 1356, 566, 267, 4352, 5136, 600, 659, 732, 786, 17216, 3068, 513, 11173, 4806, 540, 1368, 20482, 8759, 6285, 689, 6837, 267, 519, 10470, 267, 543, 17044, 1827, 832, 543, 1533, 9777, 2137, 269, 12846, 267, 607, 1082, 24319, 723, 11329, 856, 267, 519, 4295, 2609, 540, 519, 1544, 267, 1519, 519, 15377, 267, 519, 24307, 267, 519, 1367, 23626, 267, 519, 7269, 540, 3795, 538, 1920, 4566, 547, 1453, 476, 2918, 543, 896, 267, 543, 519, 17594, 540, 10715, 7182, 543, 540, 840, 1410, 12371, 2175, 607, 13063, 547, 3795, 267, 616, 3592, 6157, 1934, 547, 3251, 563, 1607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 581, 519, 12032, 540, 513, 6765, 538, 13076, 609, 519, 6765, 4058, 5870, 267, 610, 9740, 540, 513, 1788, 31387, 6221, 269, 19227, 513, 1292, 20855, 3316, 6662, 568, 6024, 6765, 540, 960, 609, 31278, 6765, 540, 1871, 563, 3963, 616, 1788, 19325, 1271, 888, 303, 27348, 596, 616, 593, 606, 3078, 31939, 267, 18440, 519, 23836, 19589, 540, 519, 22615, 28569, 269, 1306, 596, 10841, 754, 267, 8757, 1142, 3490, 3786, 5713, 607, 513, 2638, 4812, 267, 16287, 707, 3356, 543, 4180, 596, 2461, 593, 519, 1318, 2619, 563, 20118, 267, 19325, 538, 1788, 2359, 26837, 22239, 3391, 596, 543, 707, 2319, 547, 1967, 269, 901, 9477, 5849, 519, 1788, 13978, 593, 1576, 267, 9319, 17799, 610, 24017, 563, 13914, 540, 873, 607, 1713, 12508, 1282, 513, 1279, 30382, 269, 3807, 607, 596, 8910, 2697, 891, 12508, 1354, 513, 30382, 267, 596, 666, 849, 2697, 873, 950, 4058, 513, 1788, 563, 19931, 2792, 609, 8284, 554, 1731, 619, 538, 519, 19069, 568, 4105, 585, 2922, 543, 23887, 31939, 6362, 269, 19452, 267, 1434, 1788, 2359, 3340, 15774, 2792, 1851, 2319, 2818, 267, 8639, 267, 543, 7218, 269, 17115, 21130, 3025, 593, 19325, 568, 513, 1390, 4316, 547, 798, 1175, 602, 563, 1103, 519, 19069, 267, 519, 11812, 540, 8757, 513, 4101, 8445, 666, 5818, 2319, 27907, 543, 18663, 6887, 547, 3136, 269, 19452, 267, 14120, 1788, 19325, 26342, 707, 2319, 779, 543, 707, 1870, 781, 2182, 960, 543, 3356, 269, 898, 5932, 513, 2318, 5790, 267, 11121, 3025, 547, 7903, 4464, 543, 10994, 519, 1985, 19325, 563, 1692, 547, 2697, 1883, 19325, 538, 513, 1788, 454, 32575, 1883, 19325, 1281, 711, 723, 547, 581, 2352, 269, 1411, 666, 1445, 593, 1210, 835, 610, 513, 1906, 540, 519, 4388, 2630, 563, 1320, 528, 5699, 4983, 519, 1788, 781, 3853, 543, 6859, 269, 4197, 519, 5551, 4093, 786, 948, 596, 1265, 19325, 602, 1665, 3356, 4724, 519, 5692, 563, 8777, 720, 707, 1788, 2319, 543, 8639, 538, 519, 24182, 8446, 1184, 269, 4256, 3309, 5380, 543, 6791, 786, 1683, 3407, 4030, 883, 519, 4857, 19325, 269, 1358, 666, 849, 1397, 1022, 596, 723, 14406, 267, 543, 621, 2337, 5447, 6788, 3823, 519, 19325, 563, 13706, 519, 3347, 1063, 4247, 267, 1788, 10148, 267, 543, 2565, 5838, 1963, 269, 1677, 798, 713, 267, 5659, 4305, 29444, 267, 2708, 1788, 10148, 267, 543, 2697, 2565, 5838, 1963, 602, 3648, 1764, 1788, 3356, 269, 6733, 585, 2798, 538, 519, 1788, 1141, 1713, 4247, 616, 6192, 267, 5838, 1963, 616, 6913, 267, 543, 5933, 616, 6192, 269, 1452, 616, 2312, 10832, 540, 2009, 19325, 563, 1692, 547, 2328, 513, 24182, 888, 16240, 19325, 2337, 3391, 3025, 3238, 267, 865, 1603, 873, 7157, 568, 1454, 811, 2500, 982, 1818, 873, 22394, 563, 2080, 616, 930, 1806, 540, 968, 341, 6558, 892, 19325, 912, 268, 968, 2171, 2125, 924, 1646, 24182, 281, 4518, 593, 3896, 1374, 3034, 268, 968, 29410, 10131, 24182, 281, 28389, 519, 3593, 1995, 3034, 268, 968, 15812, 7566, 5859, 24182, 281, 21561, 6455, 3034, 268, 968, 26660, 22059, 24182, 281, 13724, 519, 4152, 1184, 3034, 268, 968, 19061, 12032, 24182, 281, 15937, 1125, 1788, 4247, 3034, 4322, 1806, 3668, 23506, 607, 789, 1810, 1406, 5693, 5581, 1018, 2460, 540, 519, 1788, 568, 1373, 6192, 269, 634, 1883, 1934, 568, 602, 513, 24182, 3085, 1406, 5431, 968, 4777, 532, 892, 1945, 282, 621, 17767, 968, 1260, 921, 1154, 892, 1945, 563, 2080, 616, 513, 1906, 2081, 547, 2328, 19325, 602, 3391, 3785, 547, 2697, 873, 5265, 563, 6826, 2312, 543, 1808, 454, 8196, 3551, 1893, 547, 4766, 519, 24182, 543, 2057, 11991, 3822, 269, 22682, 7291, 519, 4397, 6364, 267, 1519, 5838, 1963, 610, 4247, 5532, 609, 519, 24182, 269, 901, 9355, 5849, 602, 782, 8639, 1174, 519, 24182, 779, 4644, 543, 3483, 563, 268, 968, 14818, 532, 24182, 281, 7388, 1540, 5911, 325, 29707, 267, 1374, 23769, 5725, 267, 543, 7317, 30384, 585, 2689, 7536, 268, 968, 14946, 618, 24182, 281, 11649, 7757, 4295, 10342, 543, 609, 20240, 1770, 4152, 585, 1883, 2934, 3034, 268, 968, 15812, 7566, 24182, 281, 5487, 684, 3481, 6098, 10229, 11044, 593, 1514, 2923, 5867, 609, 14573, 593, 519, 3355, 6278, 3034, 13729, 10853, 28868, 454, 9202, 909, 267, 1577, 779, 1491, 513, 1413, 693, 19325, 602, 2446, 28868, 543, 875, 547, 2328, 891, 269, 6201, 912, 268, 968, 763, 1374, 5123, 24182, 568, 6192, 2899, 782, 519, 1374, 5123, 30384, 723, 1044, 9516, 3034, 268, 968, 763, 1646, 24182, 568, 6913, 950, 519, 1101, 2504, 1770, 568, 2347, 3034, 268, 968, 763, 6725, 24182, 568, 6913, 950, 649, 3142, 538, 476, 1428, 267, 1822, 5214, 2228, 5561, 3034, 2791, 666, 946, 19325, 547, 1711, 513, 10853, 15415, 540, 782, 519, 4247, 543, 960, 602, 1291, 909, 547, 922, 12032, 269, 1403, 596, 1376, 609, 707, 6098, 24182, 4266, 543, 960, 23651, 267, 596, 666, 2708, 2436, 707, 24182, 12032, 4266, 568, 10257, 267, 1759, 593, 29444, 543, 4977, 15415, 9193, 563, 7775, 2324, 4464, 267, 596, 666, 946, 519, 1374, 5123, 24182, 607, 513, 15262, 543, 1413, 693, 782, 519, 960, 3056, 909, 547, 621, 547, 3313, 950, 621, 666, 581, 6192, 563, 10112, 793, 5539, 547, 1808, 2319, 2818, 610, 5107, 454, 2691, 26471, 5539, 267, 5693, 5815, 945, 20362, 519, 5705, 3696, 543, 2539, 7400, 4247, 602, 1291, 547, 519, 24182, 779, 12032, 269, 2755, 2949, 5539, 585, 513, 1305, 540, 4247, 568, 8655, 267, 519, 24182, 3294, 814, 1100, 2200, 630, 663, 1100, 8653, 1916, 268, 968, 763, 772, 311, 270, 21397, 1374, 2319, 267, 3366, 676, 13191, 267, 568, 3743, 585, 8236, 519, 1374, 5123, 4247, 2565, 547, 11264, 519, 1374, 2347, 24182, 3034, 268, 968, 27880, 543, 1200, 2319, 6023, 519, 4247, 602, 1291, 909, 547, 519, 12032, 540, 519, 6725, 24182, 3034, 268, 1234, 2286, 519, 968, 28237, 10131, 24182, 2223, 568, 8200, 593, 4247, 8655, 547, 3627, 585, 1587, 1374, 543, 547, 14667, 547, 1711, 519, 11553, 2326, 563, 268, 1280, 721, 547, 3035, 519, 968, 31141, 2347, 24182, 892, 649, 1590, 2347, 519, 1646, 799, 568, 2944, 676, 519, 9367, 543, 13798, 619, 563, 274, 5741, 24182, 1806, 689, 1376, 547, 9096, 454, 25565, 1383, 1788, 281, 4070, 540, 513, 5010, 2679, 454, 4131, 781, 1491, 513, 1413, 693, 1018, 519, 19325, 1522, 581, 538, 513, 2757, 1788, 29488, 269, 769, 713, 1383, 267, 649, 3513, 4983, 513, 4070, 1788, 585, 513, 13486, 543, 2697, 930, 2009, 19325, 563, 2080, 781, 875, 789, 666, 2328, 873, 1282, 1142, 1788, 5123, 912, 268, 6660, 9693, 476, 272, 281, 7388, 5406, 540, 513, 3102, 23250, 1353, 267, 1519, 20314, 1890, 4566, 563, 268, 6660, 9693, 476, 273, 281, 5136, 8877, 519, 2556, 14998, 543, 9431, 1237, 10094, 585, 4070, 563, 268, 6660, 9693, 476, 274, 281, 15937, 1436, 540, 1788, 6578, 609, 7616, 2959, 17956, 563, 268, 6660, 9693, 476, 275, 281, 10088, 1998, 540, 2143, 11265, 543, 4702, 4566, 609, 519, 7817, 563, 268, 6660, 9693, 476, 276, 281, 7388, 5406, 540, 4199, 4058, 585, 3937, 267, 2326, 267, 543, 1788, 6887, 563, 268, 6660, 9693, 476, 277, 281, 7388, 1154, 519, 5748, 4070, 630, 10193, 513, 2565, 4305, 1916, 268, 6660, 9693, 476, 278, 281, 21988, 12032, 540, 519, 7293, 5943, 563, 268, 6660, 9693, 476, 279, 281, 7388, 5406, 540, 21818, 543, 5122, 19698, 563, 268, 6660, 9693, 476, 280, 281, 7388, 1154, 519, 2497, 267, 1519, 6821, 267, 8122, 267, 543, 9486, 563, 268, 6660, 9693, 476, 1015, 281, 15937, 14791, 543, 13844, 519, 5003, 3599, 11863, 563, 268, 6660, 9693, 476, 1556, 281, 7435, 936, 519, 6192, 2679, 547, 519, 7817, 593, 476, 1015, 4864, 476, 1708, 274, 563, 12850, 6420, 1383, 281, 1646, 540, 513, 3301, 3498, 454, 9202, 267, 1577, 779, 946, 513, 3301, 1646, 1788, 799, 3096, 519, 1216, 6420, 1505, 29488, 563, 26473, 790, 906, 11018, 5123, 454, 268, 6660, 9693, 476, 272, 281, 7388, 5406, 540, 30393, 4170, 5619, 563, 268, 6660, 9693, 476, 273, 281, 7388, 5406, 540, 7817, 4170, 10343, 2689, 563, 268, 6660, 9693, 476, 274, 281, 7388, 5406, 540, 1164, 1377, 6189, 563, 268, 6660, 9693, 476, 275, 281, 26346, 1374, 2689, 2593, 10968, 563, 268, 6660, 9693, 476, 276, 281, 32017, 543, 1770, 1449, 2347, 585, 21602, 589, 563, 268, 6660, 9693, 476, 277, 281, 32017, 543, 1770, 1449, 2347, 585, 21602, 645, 563, 268, 6660, 9693, 476, 278, 281, 16949, 1449, 2347, 563, 268, 6660, 9693, 476, 279, 281, 14871, 10343, 1449, 2347, 563, 268, 6660, 9693, 476, 280, 281, 14871, 2866, 2347, 563, 268, 6660, 9693, 476, 1015, 281, 32374, 2347, 563, 13070, 850, 1383, 281, 1646, 540, 513, 5985, 813, 454, 4131, 781, 5490, 883, 519, 1585, 11775, 540, 519, 1646, 1184, 538, 606, 3397, 850, 2480, 5300, 838, 11781, 29488, 563, 268, 6660, 9693, 476, 272, 281, 7388, 5406, 540, 838, 11781, 4058, 563, 268, 6660, 9693, 476, 273, 281, 7388, 5406, 540, 838, 11781, 1394, 8421, 563, 268, 6660, 9693, 476, 274, 281, 7388, 5406, 540, 838, 11781, 2689, 609, 6075, 563, 268, 6660, 9693, 476, 275, 281, 7388, 5406, 540, 838, 11781, 24794, 8826, 563, 763, 2480, 5300, 2319, 3085, 1406, 8209, 1589, 540, 891, 607, 19325, 267, 855, 18562, 621, 31267, 873, 607, 851, 540, 519, 838, 11781, 29488, 563, 4467, 921, 5406, 540, 519, 1587, 27261, 543, 10343, 676, 519, 8605, 13574, 518, 616, 5310, 519, 1034, 1271, 543, 6444, 838, 11781, 19325, 269, 1358, 1683, 513, 1770, 540, 22905, 1871, 563, 292, 2310, 24182, 2359, 609, 18289, 454, 300, 10056, 267, 606, 3642, 14617, 1788, 2359, 813, 267, 568, 4657, 875, 1788, 9946, 6023, 3785, 563, 763, 813, 779, 1292, 2934, 616, 4247, 267, 30300, 1513, 267, 543, 513, 1433, 532, 1062, 267, 799, 666, 948, 609, 19325, 269, 898, 849, 666, 3950, 24182, 4247, 543, 786, 9337, 596, 543, 519, 2319, 607, 789, 630, 663, 824, 5686, 540, 4247, 264, 616, 6913, 267, 610, 16607, 563, 8722, 2137, 585, 24182, 2359, 454, 300, 10056, 779, 10995, 4058, 1062, 782, 665, 919, 4247, 267, 11401, 543, 824, 2238, 1759, 593, 3025, 779, 2139, 2324, 3108, 269, 898, 3580, 948, 596, 5734, 1788, 19325, 593, 3077, 267, 2094, 621, 20205, 519, 4247, 547, 581, 6192, 547, 3035, 621, 563, 300, 10056, 786, 8430, 4305, 960, 585, 596, 543, 707, 2319, 1759, 593, 4305, 14422, 543, 21852, 269, 1411, 543, 707, 2319, 4465, 1406, 3653, 942, 23115, 856, 1018, 547, 798, 1985, 269, 1656, 621, 782, 665, 919, 942, 585, 4247, 543, 824, 2238, 538, 835, 7471, 11706, 563, 300, 10056, 849, 814, 3308, 2645, 602, 948, 547, 1294, 1788, 15415, 3688, 693, 513, 16145, 267, 971, 607, 20855, 3316, 12545, 543, 1788, 15415, 2070, 269, 1452, 5784, 849, 948, 2285, 2656, 4030, 883, 4305, 3356, 593, 519, 1259, 547, 519, 24182, 543, 723, 513, 8749, 7146, 1673, 1886, 1599, 547, 4188, 2565, 4247, 3362, 563, 19061, 19325, 4096, 593, 519, 12032, 540, 513, 1305, 540, 824, 4247, 602, 1927, 5838, 513, 3407, 4062, 540, 519, 1788, 269, 18289, 2636, 596, 547, 3715, 4305, 29444, 547, 1118, 2386, 602, 4247, 3356, 538, 513, 9266, 5311, 269, 4635, 713, 267, 596, 666, 2057, 2009, 17799, 610, 4420, 6352, 1815, 802, 543, 18390, 5734, 24182, 9072, 563, 2791, 666, 3844, 1125, 707, 24182, 9477, 676, 10128, 18289, 609, 707, 4540, 11706, 269, 4706, 5043, 725, 9004, 519, 31484, 548, 540, 1210, 2789, 2645, 630, 7224, 811, 813, 5577, 4771, 1040, 18289, 568, 606, 7471, 10995, 11706, 543, 1788, 9614, 782, 2987, 14633, 1907, 563, 21615, 15869, 519, 2104, 540, 24182, 9477, 1299, 2359, 609, 18289, 563, 14294, 909, 585, 707, 476, 278, 6377, 1863, 4693, 2221, 269, 0, 3080, 540, 519, 1906, 17005, 4249, 676, 20153, 28965, 267, 543, 835, 540, 519, 1034, 4749, 5340, 540, 8106, 5259, 5559, 553, 540, 782, 942, 267, 30466, 821, 12651, 2152, 540, 1876, 543, 13919, 602, 616, 1175, 607, 4143, 2221, 607, 538, 3504, 2053, 563, 12901, 580, 821, 786, 1847, 596, 607, 1906, 4773, 540, 3332, 666, 269, 2060, 922, 13730, 18531, 543, 6213, 2625, 532, 540, 5837, 543, 10952, 2152, 267, 713, 3532, 12416, 5170, 547, 6678, 337, 718, 721, 2221, 607, 621, 1705, 922, 3504, 23723, 1014, 9458, 563, 1103, 30466, 821, 267, 20153, 28965, 8761, 519, 12556, 602, 581, 17517, 519, 1453, 540, 32084, 269, 2717, 2106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1919, 941, 2854, 26019, 5503, 941, 2854, 585, 938, 1565, 267, 602, 649, 998, 9639, 543, 4313, 540, 519, 30920, 1522, 723, 4126, 10611, 30689, 476, 1428, 281, 275, 454, 2467, 616, 21246, 958, 1079, 3029, 540, 3140, 2594, 282, 6273, 1686, 543, 796, 1231, 18944, 1686, 269, 27837, 1686, 616, 519, 5638, 602, 2696, 814, 2047, 6592, 543, 12873, 538, 519, 14644, 999, 540, 5168, 269, 27837, 1686, 11943, 950, 519, 17374, 540, 13414, 729, 6806, 609, 519, 8429, 540, 519, 19980, 4301, 5736, 269, 1133, 1231, 18944, 1686, 616, 6589, 602, 812, 814, 6592, 269, 1133, 1231, 18944, 1686, 666, 581, 11567, 998, 519, 2542, 540, 2250, 5638, 610, 676, 6313, 519, 18840, 1670, 1239, 540, 519, 1974, 563, 2467, 616, 2312, 3604, 1063, 519, 1079, 3029, 540, 1686, 269, 27837, 1686, 568, 1510, 5470, 1317, 2696, 779, 6478, 568, 5168, 269, 1133, 1231, 18944, 1686, 568, 1930, 547, 15739, 32735, 267, 2705, 267, 2901, 607, 513, 1267, 540, 519, 1480, 5470, 610, 676, 513, 7301, 7664, 540, 519, 5013, 269, 12267, 616, 30996, 1639, 267, 13587, 1080, 28869, 538, 543, 609, 519, 8574, 540, 942, 519, 5168, 3587, 25302, 856, 540, 782, 6284, 269, 634, 4161, 6849, 519, 14787, 568, 547, 22019, 1394, 519, 6106, 540, 6644, 543, 3791, 5428, 1344, 538, 1931, 547, 1265, 519, 2707, 1570, 282, 1256, 1287, 519, 5168, 568, 859, 5297, 563, 11900, 18944, 1686, 267, 2705, 267, 607, 519, 3312, 10916, 540, 5013, 5036, 8521, 519, 4806, 799, 11226, 721, 538, 1620, 519, 12583, 602, 2367, 3132, 269, 634, 1641, 1570, 568, 519, 1482, 282, 519, 22800, 6411, 540, 2696, 607, 519, 2278, 540, 782, 1686, 269, 634, 4245, 616, 2147, 849, 267, 538, 602, 1686, 568, 2016, 543, 12873, 585, 938, 1565, 563, 288, 829, 10650, 540, 519, 2250, 2982, 721, 519, 2619, 267, 519, 3460, 602, 8103, 568, 593, 269, 589, 2951, 2401, 1590, 581, 3222, 540, 1141, 646, 3357, 689, 538, 1931, 602, 646, 1522, 4729, 513, 1576, 585, 1010, 10278, 269, 19452, 267, 519, 2486, 799, 14543, 547, 1451, 689, 519, 2250, 267, 568, 1510, 3961, 267, 2832, 1652, 543, 4287, 1652, 269, 901, 568, 3020, 540, 3885, 267, 6082, 267, 519, 1158, 855, 621, 568, 2523, 3020, 540, 519, 5783, 269, 1284, 798, 711, 2291, 538, 513, 20704, 267, 1818, 938, 1378, 1259, 998, 519, 1158, 269, 1284, 616, 593, 519, 1482, 3460, 602, 938, 11937, 7708, 323, 1354, 721, 282, 1152, 519, 3296, 540, 519, 4155, 568, 1114, 269, 769, 2469, 4464, 649, 1590, 1413, 23651, 538, 1931, 602, 649, 1522, 723, 9639, 267, 4313, 543, 4126, 563, 302, 2696, 267, 938, 948, 538, 6502, 2250, 2676, 5978, 4126, 585, 1296, 547, 2097, 2676, 6826, 23524, 938, 3391, 1247, 13542, 2063, 2676, 4517, 938, 18163, 1753, 256, 0, 290, 822, 754, 880, 267, 21244, 269, 24079, 689, 15907, 519, 2622, 269, 1401, 2678, 7734, 267, 476, 2735, 278, 563, 20685, 5371, 18882, 281, 6239, 2342, 630, 294, 3234, 916, 674, 8543, 26626, 994, 305, 7342, 5384, 281, 27051, 476, 277, 3764, 454, 383, 502, 20051, 519, 4807, 945, 5795, 8575, 529, 773, 519, 1494, 563, 8722, 601, 902, 281, 2311, 1101, 513, 2370, 649, 776, 602, 519, 2025, 18338, 568, 3983, 267, 1287, 513, 2631, 540, 8323, 950, 1352, 18327, 547, 581, 2922, 543, 3947, 519, 17237, 8004, 513, 9059, 1494, 563, 383, 502, 8575, 529, 773, 543, 1200, 3993, 3843, 519, 9059, 1913, 593, 519, 1494, 563, 8722, 601, 902, 281, 5080, 21215, 543, 1287, 513, 30590, 26497, 950, 519, 1494, 1630, 2812, 513, 6653, 11188, 16466, 563, 383, 502, 634, 1494, 4465, 1406, 3247, 14495, 543, 25361, 909, 519, 2898, 4884, 563, 8722, 601, 902, 281, 1323, 4160, 610, 5855, 602, 519, 1494, 786, 2760, 3247, 14495, 563, 383, 502, 8575, 529, 773, 13515, 519, 1494, 689, 14495, 563, 8722, 601, 902, 281, 28057, 602, 2576, 814, 2097, 547, 519, 15063, 540, 519, 4884, 269, 634, 4743, 835, 4991, 950, 789, 3276, 335, 1310, 513, 2407, 7594, 563, 383, 502, 6196, 654, 3558, 454, 272, 269, 4985, 281, 589, 2370, 4282, 593, 8575, 529, 773, 543, 1200, 4057, 3993, 563, 273, 269, 8575, 529, 773, 2469, 547, 4584, 30207, 543, 972, 1373, 9039, 267, 1200, 24986, 543, 519, 18338, 4947, 2059, 547, 2307, 8575, 529, 773, 547, 1416, 585, 519, 18338, 779, 9059, 1494, 563, 274, 269, 8575, 529, 773, 543, 1200, 3993, 3843, 519, 1494, 585, 519, 1101, 942, 543, 4189, 1134, 563, 275, 269, 8575, 529, 773, 779, 3993, 4358, 519, 1494, 547, 14974, 267, 4189, 1200, 6445, 543, 1287, 711, 1373, 2111, 547, 3247, 519, 1494, 689, 14495, 269, 3973, 519, 11188, 16466, 29908, 856, 883, 519, 4884, 543, 883, 3025, 779, 8075, 563, 276, 269, 8575, 529, 773, 4189, 1200, 1259, 547, 1200, 2777, 547, 3247, 519, 1494, 689, 14495, 563, 277, 269, 634, 10034, 15161, 4189, 11188, 16466, 782, 5162, 563, 300, 9820, 773, 568, 513, 4057, 2370, 8004, 945, 2729, 609, 1200, 3993, 538, 513, 32119, 269, 2290, 1554, 1352, 4422, 856, 547, 4584, 519, 30207, 789, 7363, 3548, 267, 855, 972, 616, 9039, 2451, 593, 519, 17382, 269, 8575, 529, 773, 568, 14126, 950, 606, 2025, 18338, 2982, 909, 543, 12134, 8575, 529, 773, 547, 1413, 1310, 513, 9059, 1494, 585, 1200, 2094, 1352, 779, 606, 2025, 4807, 1352, 666, 1406, 4163, 1454, 561, 10212, 720, 269, 634, 2025, 18338, 3947, 1200, 519, 1913, 547, 1118, 519, 9059, 1494, 3434, 11188, 16466, 543, 3247, 5986, 950, 3025, 814, 1185, 741, 6445, 269, 8575, 529, 773, 23216, 543, 3217, 519, 1494, 1753, 547, 1200, 3993, 269, 1358, 3548, 2933, 2407, 543, 979, 547, 5127, 269, 634, 1985, 1554, 8575, 529, 773, 4422, 547, 1404, 543, 1200, 3993, 6238, 519, 1494, 547, 5986, 267, 1352, 22655, 1200, 6445, 543, 13290, 547, 1205, 519, 1494, 547, 3247, 855, 3112, 3314, 519, 1913, 602, 1118, 519, 1494, 3247, 5986, 269, 634, 2898, 4884, 25361, 909, 609, 11188, 16466, 267, 8575, 529, 773, 30650, 519, 862, 10056, 543, 4991, 1753, 547, 2995, 519, 1494, 547, 3247, 5986, 267, 855, 711, 1354, 3025, 779, 2777, 568, 2407, 547, 519, 1490, 574, 609, 11188, 16466, 269, 634, 4884, 3884, 1406, 865, 13347, 1498, 1317, 789, 723, 2614, 1426, 585, 5162, 1631, 563, 305, 1506, 6996, 13478, 2133, 1912, 29320, 270, 968, 14503, 2948, 892, 912, 8333, 1343, 547, 1376, 543, 3247, 519, 1494, 689, 5986, 563, 29423, 1466, 281, 18014, 5753, 454, 4263, 713, 2085, 1453, 798, 711, 723, 513, 1360, 1279, 3007, 12732, 269, 1358, 616, 7683, 3001, 267, 3843, 1007, 1919, 543, 21716, 538, 1272, 899, 513, 26703, 269, 1358, 991, 513, 2110, 267, 2178, 267, 3728, 1650, 602, 568, 2469, 547, 5734, 873, 543, 5734, 873, 2182, 269, 1358, 991, 2110, 267, 2500, 11673, 602, 2285, 1175, 2614, 1344, 547, 17408, 752, 741, 3742, 4337, 5209, 269, 1809, 711, 865, 1454, 547, 16004, 873, 563, 763, 18903, 28769, 16466, 8000, 568, 513, 2110, 2370, 14973, 1650, 602, 4249, 883, 23021, 685, 3384, 25091, 4664, 269, 1358, 616, 1565, 875, 547, 1745, 519, 18354, 540, 519, 2370, 8004, 609, 1100, 15708, 547, 3142, 1753, 543, 519, 10761, 540, 8744, 1753, 513, 9059, 1494, 602, 2144, 1162, 782, 741, 13542, 269, 1358, 666, 11913, 1125, 741, 4160, 936, 519, 1494, 838, 3739, 936, 609, 1913, 789, 2907, 917, 899, 2048, 7795, 268, 2129, 685, 543, 2048, 334, 3591, 773, 9957, 898, 568, 513, 1650, 602, 23021, 666, 9305, 547, 607, 789, 968, 326, 664, 1496, 320, 316, 2631, 540, 519, 5107, 543, 5238, 540, 2486, 1848, 1765, 292, 20891, 661, 686, 802, 517, 563, 273, 269, 9412, 6202, 267, 14732, 269, 634, 8422, 645, 8986, 1299, 476, 1428, 824, 2984, 269, 7338, 962, 269, 18844, 749, 3213, 12727, 1715, 3840, 267, 476, 3192, 276, 563, 274, 269, 632, 14529, 7637, 267, 8751, 773, 269, 853, 2958, 320, 6348, 320, 269, 623, 1370, 823, 8065, 281, 1715, 3840, 267, 476, 3192, 276, 563, 21008, 2581, 540, 19405, 543, 7352, 1218, 912, 309, 619, 687, 1948, 272, 543, 1948, 273, 1175, 1185, 519, 1034, 2596, 4528, 540, 519, 1650, 269, 1280, 1383, 267, 519, 2370, 8004, 1185, 1100, 2012, 267, 519, 18338, 729, 711, 4330, 543, 972, 729, 1100, 30996, 7321, 693, 782, 269, 898, 729, 513, 1360, 2241, 4990, 540, 21736, 1650, 563, 24868, 656, 1948, 274, 729, 5143, 609, 606, 7969, 6335, 547, 621, 543, 1185, 513, 1114, 1305, 540, 3197, 269, 1703, 729, 513, 1762, 812, 3957, 945, 5249, 609, 853, 2958, 320, 6348, 320, 630, 294, 8681, 2742, 654, 3558, 1040, 2701, 1185, 519, 9059, 1494, 267, 799, 3812, 18437, 267, 543, 1352, 5143, 519, 1762, 812, 630, 19136, 20900, 264, 711, 547, 5905, 621, 1317, 1152, 1352, 6785, 519, 9059, 1913, 269, 1261, 4769, 1406, 6432, 543, 1352, 1185, 547, 2097, 3247, 519, 1494, 689, 5986, 18437, 269, 3973, 20900, 1185, 547, 3548, 782, 519, 838, 698, 515, 26152, 538, 1200, 2777, 563, 1607, 729, 513, 1390, 1650, 855, 621, 729, 1932, 1279, 547, 2995, 538, 5722, 3764, 269, 594, 899, 519, 7969, 8137, 543, 6505, 9660, 2699, 9660, 602, 713, 1650, 4667, 547, 5957, 808, 269, 0, 19913, 23702, 345, 267, 1325, 9109, 269, 476, 1960, 272, 269, 2480, 776, 12267, 476, 274, 281, 2859, 24079, 547, 28306, 2659, 645, 2158, 269, 834, 28646, 1411, 4024, 5457, 1701, 1715, 3840, 281, 22489, 31890, 23255, 563, 20685, 5371, 18882, 281, 2296, 454, 305, 7342, 5384, 281, 476, 279, 3764, 454, 305, 846, 4424, 7024, 547, 519, 15678, 1152, 547, 3605, 1200, 3993, 568, 8854, 543, 1100, 835, 17767, 1200, 563, 296, 8359, 713, 607, 1250, 1379, 4099, 1317, 540, 519, 7553, 621, 3361, 950, 594, 1101, 1224, 519, 1650, 269, 898, 568, 11207, 23892, 547, 581, 11389, 322, 1758, 1242, 950, 596, 917, 596, 941, 1175, 693, 519, 15678, 269, 634, 11566, 4250, 543, 9810, 538, 1200, 568, 1360, 3001, 563, 305, 846, 4424, 609, 1200, 3993, 693, 519, 15678, 563, 305, 846, 4424, 693, 519, 4387, 779, 2777, 7996, 563, 305, 846, 4424, 29400, 689, 519, 3454, 328, 563, 305, 846, 4424, 693, 519, 15678, 1141, 1100, 835, 6487, 1200, 563, 14106, 1746, 8303, 267, 1310, 513, 7552, 547, 4000, 267, 14986, 4424, 779, 3993, 6368, 13151, 29304, 547, 519, 4576, 602, 814, 1044, 12735, 5224, 1200, 585, 513, 3018, 269, 14986, 4424, 7125, 519, 2777, 4387, 267, 646, 15920, 1200, 593, 513, 4829, 1652, 2144, 8681, 547, 1205, 930, 4915, 269, 2991, 7996, 543, 21409, 585, 3108, 998, 8303, 267, 14986, 4424, 7024, 547, 519, 15678, 547, 3605, 1100, 835, 17767, 1200, 267, 1200, 3993, 568, 8854, 543, 519, 4055, 568, 711, 519, 4055, 1352, 1185, 5892, 1044, 538, 269, 1548, 5949, 286, 4173, 3993, 1185, 24954, 269, 634, 4387, 8995, 621, 543, 6410, 1200, 856, 540, 519, 6413, 547, 5884, 269, 634, 4055, 729, 4625, 28099, 14585, 730, 543, 3388, 6854, 9602, 865, 602, 1100, 835, 1131, 11784, 693, 519, 2219, 563, 305, 1506, 6996, 13478, 2133, 1912, 29320, 270, 257, 14503, 2948, 9899, 7183, 454, 29423, 1466, 281, 476, 1724, 268, 1691, 1032, 31545, 454, 289, 895, 776, 1063, 6689, 543, 15296, 269, 2423, 17067, 4247, 616, 5916, 547, 3132, 513, 9434, 2631, 540, 3961, 267, 945, 835, 568, 543, 835, 779, 1747, 538, 2486, 269, 630, 292, 9581, 517, 994, 6781, 1006, 547, 1174, 543, 4020, 7493, 7811, 4555, 543, 1810, 1406, 7048, 593, 6405, 2963, 269, 630, 303, 328, 27600, 994, 29753, 3023, 5397, 267, 1719, 538, 4587, 4145, 267, 3961, 568, 1271, 267, 9263, 2604, 267, 19838, 12510, 337, 1143, 1797, 835, 779, 2042, 616, 2189, 267, 2702, 547, 13861, 12572, 1893, 543, 1118, 19858, 9794, 906, 267, 3448, 2418, 267, 6213, 547, 6988, 538, 1480, 3347, 543, 4606, 269, 630, 295, 3089, 994, 1607, 2085, 1895, 666, 2322, 2933, 538, 2576, 3116, 779, 544, 11484, 553, 1231, 543, 1294, 519, 1650, 689, 519, 4064, 540, 519, 1915, 269, 901, 568, 1271, 950, 10213, 513, 9661, 971, 607, 713, 267, 1141, 519, 5304, 1058, 1745, 519, 9810, 540, 1018, 14986, 4424, 568, 2469, 998, 269, 4256, 8417, 538, 1480, 3347, 543, 4606, 630, 295, 3089, 264, 2285, 873, 519, 2702, 547, 2731, 2048, 10623, 601, 685, 519, 1650, 2864, 982, 6432, 1510, 1416, 610, 6161, 269, 634, 5304, 666, 4952, 1018, 621, 1131, 581, 899, 547, 723, 707, 3993, 14897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1269, 343, 259, 1871, 543, 519, 2034, 1297, 568, 513, 1269, 344, 259, 1871, 18159, 343, 267, 586, 7751, 1547, 2913, 779, 1413, 693, 606, 10288, 6292, 780, 263, 274, 267, 476, 275, 2020, 1607, 10288, 6292, 814, 1079, 2418, 269, 898, 814, 606, 1269, 343, 259, 1871, 540, 476, 274, 1317, 519, 1269, 343, 259, 1871, 2501, 1101, 269, 898, 814, 513, 1269, 344, 259, 1871, 540, 476, 275, 269, 3962, 10288, 6292, 4564, 835, 1448, 593, 513, 11282, 7470, 780, 9202, 267, 649, 666, 3113, 713, 10288, 6292, 593, 519, 11282, 7470, 780, 2171, 616, 2469, 547, 960, 538, 835, 851, 540, 519, 11282, 7470, 269, 1411, 786, 1451, 827, 519, 824, 6810, 2663, 780, 2252, 649, 3113, 630, 274, 267, 275, 264, 607, 835, 1448, 593, 519, 11282, 7470, 267, 649, 1376, 693, 519, 5169, 543, 1293, 1614, 4559, 593, 519, 1269, 343, 259, 7852, 1101, 269, 3973, 2324, 689, 519, 476, 274, 267, 649, 1293, 909, 2185, 2094, 519, 1269, 344, 259, 11282, 568, 2185, 269, 2334, 568, 1141, 649, 2322, 938, 1448, 780, 1432, 827, 952, 649, 723, 606, 10288, 6292, 609, 513, 476, 271, 538, 621, 2496, 15919, 267, 649, 786, 723, 513, 4642, 538, 519, 10288, 6292, 780, 263, 271, 267, 476, 275, 2020, 1607, 1797, 602, 519, 1269, 343, 259, 1871, 568, 4642, 267, 865, 649, 1810, 1406, 1847, 2059, 519, 1269, 343, 259, 7852, 585, 938, 1101, 1448, 269, 898, 568, 4642, 865, 649, 1376, 10203, 909, 693, 4642, 269, 634, 1269, 344, 259, 1871, 568, 2185, 267, 865, 649, 1293, 909, 2185, 4559, 689, 4642, 780, 30860, 602, 713, 1448, 568, 2965, 593, 519, 1269, 344, 259, 7852, 780, 3086, 1577, 781, 2259, 780, 288, 815, 21718, 692, 11405, 281, 630, 274, 267, 273, 2020, 289, 815, 21718, 692, 11405, 281, 630, 275, 267, 277, 2020, 2971, 7151, 595, 692, 290, 815, 21718, 692, 11405, 281, 630, 278, 267, 280, 2020, 3086, 602, 649, 723, 8737, 519, 10417, 267, 649, 666, 960, 593, 4543, 570, 16492, 543, 5981, 269, 3371, 568, 519, 1966, 2899, 1586, 780, 307, 16492, 543, 5981, 723, 1185, 513, 17512, 881, 4832, 269, 1358, 723, 19122, 1082, 267, 1082, 5388, 543, 616, 1631, 4712, 547, 2322, 909, 513, 1507, 3484, 1796, 538, 519, 4395, 540, 741, 2777, 269, 5981, 814, 4956, 547, 2721, 513, 4786, 540, 519, 1858, 543, 4137, 856, 1141, 547, 2322, 519, 1796, 269, 1261, 15055, 519, 2856, 540, 1210, 513, 7470, 267, 1141, 476, 272, 4216, 610, 1770, 540, 519, 7470, 568, 3160, 547, 476, 275, 3952, 269, 2334, 1259, 646, 666, 4137, 856, 4010, 1141, 3388, 4422, 269, 5981, 21593, 1373, 6896, 899, 602, 780, 2467, 616, 1614, 1919, 602, 646, 16858, 547, 2322, 593, 1010, 7470, 1384, 763, 4677, 4729, 267, 799, 568, 538, 519, 18147, 267, 476, 1321, 3952, 2047, 3297, 519, 2777, 269, 634, 2777, 267, 799, 568, 476, 1626, 3952, 689, 8055, 853, 269, 543, 476, 1626, 3952, 689, 21701, 853, 269, 519, 3484, 1796, 692, 763, 2777, 568, 536, 23912, 676, 8055, 543, 21701, 10754, 267, 865, 5981, 1131, 899, 547, 2322, 519, 3484, 1796, 2282, 519, 7944, 865, 602, 1004, 593, 1312, 10754, 786, 1294, 621, 269, 5981, 5956, 5373, 1010, 4786, 267, 855, 568, 4166, 12758, 269, 3371, 568, 875, 2484, 646, 4991, 780, 2162, 18500, 692, 2080, 616, 519, 6863, 1913, 538, 713, 10417, 780, 10870, 15453, 7470, 454, 320, 3308, 1259, 540, 29466, 2798, 610, 3615, 538, 2230, 563, 10870, 24002, 454, 1492, 1269, 343, 259, 543, 1269, 344, 259, 2418, 602, 2995, 721, 1141, 606, 1843, 568, 4092, 563, 27670, 454, 3602, 519, 1269, 343, 259, 543, 1269, 344, 259, 7852, 2743, 267, 814, 513, 1871, 540, 630, 271, 267, 476, 271, 994, 259, 343, 259, 7852, 454, 1492, 8880, 1899, 540, 513, 11282, 7470, 454, 259, 344, 259, 7852, 454, 1492, 7299, 1899, 540, 513, 11282, 7470, 454, 302, 6113, 1229, 6292, 454, 259, 263, 343, 267, 586, 7751, 519, 2418, 1141, 513, 1448, 568, 4092, 593, 513, 7470, 692, 2162, 2871, 3660, 6657, 692, 2080, 568, 835, 585, 596, 547, 2119, 593, 707, 1378, 780, 20877, 630, 280, 267, 274, 264, 593, 519, 11282, 7470, 780, 2414, 3113, 713, 1448, 267, 649, 1101, 1413, 693, 519, 1535, 1871, 780, 763, 1535, 1871, 568, 476, 280, 269, 901, 568, 519, 1871, 593, 519, 8880, 7852, 780, 28275, 693, 519, 5169, 267, 649, 1293, 938, 1259, 2066, 519, 8880, 7852, 547, 519, 476, 280, 780, 10190, 649, 3113, 519, 476, 274, 269, 898, 568, 593, 519, 586, 7852, 780, 5804, 476, 280, 267, 649, 1293, 909, 1614, 4559, 780, 1607, 568, 1141, 649, 2322, 938, 1448, 780, 2162, 11473, 5623, 692, 2080, 568, 513, 3381, 585, 2689, 780, 2162, 6657, 692, 17445, 687, 281, 3503, 519, 10974, 540, 1142, 1448, 780, 272, 269, 589, 692, 273, 269, 645, 692, 274, 269, 595, 692, 275, 269, 667, 692, 276, 269, 661, 692, 277, 269, 674, 692, 278, 269, 717, 692, 279, 269, 670, 692, 280, 269, 594, 692, 1015, 269, 808, 692, 1556, 269, 918, 692, 1321, 269, 700, 692, 17445, 687, 281, 8641, 543, 6003, 1142, 1448, 593, 519, 11282, 7470, 780, 1724, 269, 631, 263, 272, 267, 476, 274, 2020, 1691, 269, 715, 263, 273, 267, 476, 275, 2020, 1428, 269, 744, 263, 271, 267, 476, 277, 2020, 1626, 269, 623, 263, 279, 267, 476, 277, 2020, 1704, 269, 1627, 263, 272, 267, 476, 274, 2020, 1240, 269, 681, 263, 275, 267, 476, 278, 2020, 866, 269, 590, 263, 278, 267, 476, 278, 2020, 736, 269, 570, 263, 280, 267, 271, 2020, 2641, 269, 772, 263, 275, 267, 476, 277, 2020, 2420, 269, 966, 263, 271, 267, 476, 276, 2020, 2537, 269, 654, 263, 277, 267, 476, 279, 2020, 2190, 269, 962, 263, 272, 267, 476, 278, 2020, 1839, 269, 2098, 263, 274, 267, 476, 275, 2020, 2162, 18500, 5678, 281, 2296, 692, 259, 343, 268, 259, 9471, 692, 259, 343, 268, 259, 9471, 692, 763, 1269, 343, 268, 259, 9471, 568, 519, 8880, 7852, 538, 519, 11282, 7077, 267, 4122, 8204, 519, 1871, 540, 519, 3403, 610, 4830, 4756, 563, 259, 344, 259, 7852, 692, 259, 344, 259, 7852, 692, 763, 1269, 344, 27572, 9471, 568, 519, 7299, 1297, 1899, 540, 519, 31951, 7077, 563, 27028, 322, 20811, 692, 27028, 322, 20811, 692, 763, 2612, 322, 20811, 568, 519, 1269, 343, 268, 259, 1723, 15453, 540, 519, 10288, 6292, 602, 4564, 513, 28367, 1448, 593, 513, 31951, 7077, 269, 1280, 519, 1448, 630, 274, 267, 476, 278, 1070, 476, 274, 568, 519, 2612, 322, 20811, 563, 290, 691, 14198, 1773, 2033, 692, 290, 691, 14198, 1773, 2033, 692, 763, 31951, 7077, 568, 513, 7470, 4646, 676, 513, 8880, 1297, 1899, 543, 513, 7299, 1297, 1899, 602, 3444, 693, 519, 630, 271, 267, 476, 271, 264, 1448, 267, 1572, 519, 5169, 563, 10870, 15453, 7470, 692, 10870, 15453, 7470, 692, 763, 11282, 7470, 568, 4646, 676, 513, 8880, 1297, 1899, 543, 513, 7299, 1297, 1899, 602, 3444, 693, 519, 630, 271, 267, 476, 271, 264, 1448, 267, 1572, 519, 5169, 269, 634, 11282, 7470, 568, 849, 1572, 513, 31951, 1773, 2033, 610, 11282, 7077, 563, 10870, 15453, 1773, 2033, 692, 10870, 15453, 1773, 2033, 692, 763, 11282, 7077, 568, 513, 7470, 4646, 676, 513, 8880, 1297, 1899, 543, 513, 7299, 1297, 1899, 602, 3444, 693, 519, 630, 271, 267, 476, 271, 264, 1448, 267, 1572, 519, 5169, 269, 634, 11282, 7077, 568, 849, 1572, 513, 31951, 1773, 2033, 563, 10870, 24002, 692, 10870, 24002, 692, 763, 10974, 540, 513, 1448, 2099, 519, 1448, 781, 4087, 593, 519, 31951, 7077, 269, 18509, 7149, 616, 2854, 538, 10288, 8424, 281, 18159, 343, 267, 586, 7751, 563, 302, 6113, 1229, 30449, 692, 302, 6113, 1229, 30449, 692, 2304, 10288, 6292, 267, 18159, 343, 267, 586, 29408, 6257, 519, 4087, 540, 513, 1448, 593, 513, 11282, 7470, 563, 302, 6113, 3729, 692, 302, 6113, 3729, 692, 763, 3921, 3729, 568, 519, 1269, 344, 27572, 1723, 15453, 540, 519, 10288, 6292, 602, 4564, 513, 28367, 1448, 593, 513, 31951, 7077, 269, 1280, 519, 1448, 630, 274, 267, 476, 278, 1070, 476, 278, 568, 519, 3921, 3729, 563, 27670, 692, 27670, 692, 763, 5169, 568, 519, 1448, 540, 10167, 540, 519, 1269, 343, 259, 543, 1269, 344, 259, 17887, 593, 519, 31951, 7077, 269, 634, 10974, 540, 519, 5169, 616, 630, 271, 267, 476, 271, 6393, 12914, 476, 3066, 267, 476, 1001, 273, 692, 14257, 476, 1428, 267, 476, 1001, 276, 0, 1321, 269, 275, 1107, 21474, 540, 19024, 692, 1321, 269, 275, 1107, 21474, 540, 19024, 692, 1321, 269, 275, 1107, 21474, 540, 19024, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 692, 272, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 769, 930, 2665, 267, 519, 2079, 540, 1978, 1367, 3688, 538, 519, 1239, 1305, 568, 540, 811, 1719, 2864, 982, 519, 3003, 1305, 269, 898, 568, 2556, 693, 2053, 267, 547, 581, 2111, 547, 2268, 875, 606, 6221, 13352, 883, 519, 1239, 267, 875, 621, 19776, 547, 824, 3688, 540, 519, 1239, 267, 610, 1256, 875, 621, 19776, 547, 1776, 6221, 538, 1776, 1239, 1305, 269, 21474, 540, 2990, 616, 1896, 1455, 2081, 540, 2870, 971, 16198, 780, 273, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 634, 1990, 4149, 14537, 634, 1990, 1606, 14537, 3800, 875, 1082, 3044, 24017, 513, 2582, 1239, 6221, 568, 689, 519, 1611, 780, 274, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 7151, 281, 24951, 609, 1990, 4149, 13990, 5565, 1053, 267, 945, 1491, 1114, 1686, 5049, 267, 1185, 11400, 593, 519, 1482, 1554, 269, 23514, 779, 6060, 729, 476, 10695, 1247, 20717, 779, 6060, 729, 476, 4281, 269, 6904, 2875, 1705, 5266, 1732, 267, 2016, 519, 1362, 1239, 3254, 2630, 2496, 275, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 7151, 281, 24951, 609, 1990, 4149, 13990, 20717, 779, 1990, 1606, 14537, 281, 23514, 779, 1990, 1606, 14537, 281, 476, 4281, 1107, 476, 3583, 476, 10695, 1107, 476, 4281, 815, 476, 272, 269, 277, 815, 476, 272, 269, 1839, 476, 276, 476, 275, 20717, 779, 1990, 1606, 14537, 568, 2362, 607, 1352, 729, 17479, 5266, 2362, 1369, 1200, 1362, 982, 23514, 729, 1369, 1200, 1362, 780, 276, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 20587, 3796, 589, 30878, 2268, 519, 2990, 540, 513, 2582, 1239, 6221, 1759, 593, 519, 6871, 540, 1239, 3688, 2630, 602, 2582, 1239, 6221, 269, 9208, 1242, 4255, 3144, 676, 3677, 2338, 540, 1053, 267, 6460, 6151, 8464, 547, 513, 30878, 6060, 269, 1403, 5111, 562, 2600, 540, 519, 3688, 538, 513, 3892, 616, 1447, 982, 519, 1297, 1535, 267, 1287, 1535, 568, 519, 32671, 30878, 540, 519, 3892, 267, 20922, 623, 333, 780, 277, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 7151, 281, 20587, 3796, 634, 1739, 616, 1449, 8464, 630, 719, 540, 476, 1911, 264, 585, 513, 1880, 2979, 1362, 269, 476, 4510, 476, 6321, 476, 6812, 476, 7830, 476, 5038, 476, 5038, 476, 3583, 476, 7761, 476, 7761, 476, 7761, 476, 10619, 476, 10619, 476, 4037, 476, 4281, 476, 4281, 476, 8064, 476, 3199, 476, 11025, 476, 11025, 476, 10019, 476, 10436, 476, 9262, 476, 6434, 476, 3445, 476, 10844, 476, 4817, 476, 9834, 476, 9834, 476, 7176, 476, 1911, 4855, 519, 6830, 328, 996, 30878, 269, 476, 2412, 260, 815, 476, 271, 269, 275, 634, 3328, 540, 519, 476, 1321, 628, 543, 476, 1724, 628, 3688, 4564, 519, 476, 2412, 628, 30878, 630, 303, 2412, 1040, 476, 271, 269, 275, 263, 1789, 264, 476, 1321, 476, 2412, 260, 540, 519, 8464, 941, 2630, 476, 10619, 269, 276, 780, 278, 269, 476, 1321, 269, 275, 1107, 21474, 540, 19024, 4033, 20587, 3796, 281, 5463, 3796, 543, 31763, 3796, 5463, 3796, 616, 519, 8370, 2418, 630, 6577, 6838, 667, 272, 267, 667, 273, 267, 2507, 267, 667, 280, 264, 2059, 519, 4336, 602, 7941, 513, 1239, 1305, 883, 4557, 630, 32191, 264, 3160, 2694, 269, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2171, 1590, 2628, 3007, 547, 519, 1129, 538, 519, 3830, 585, 519, 2489, 1106, 540, 513, 18980, 18042, 1599, 269, 634, 3830, 2982, 513, 14263, 1129, 1354, 11997, 4754, 581, 17370, 9287, 607, 2252, 519, 1871, 540, 529, 2942, 267, 519, 6521, 568, 547, 519, 2451, 780, 2162, 8347, 898, 692, 29991, 519, 4287, 543, 9588, 540, 519, 5123, 6521, 585, 692, 2431, 692, 2162, 17291, 519, 26432, 29196, 540, 513, 9577, 692, 29991, 519, 4287, 543, 9588, 540, 519, 7299, 6521, 585, 692, 4131, 779, 2253, 676, 9236, 519, 3830, 547, 519, 2489, 1106, 692, 1103, 519, 2016, 3830, 267, 810, 519, 6521, 568, 476, 274, 4559, 18746, 780, 2162, 8347, 898, 692, 29991, 519, 4287, 543, 9588, 540, 519, 7299, 6521, 585, 692, 273, 4559, 909, 692, 11693, 513, 18980, 18042, 1599, 538, 519, 1106, 1211, 1518, 519, 4571, 1467, 267, 17931, 267, 1974, 267, 543, 5123, 6521, 780, 272, 269, 14419, 519, 17931, 607, 454, 273, 269, 14419, 519, 1974, 607, 454, 274, 269, 14419, 519, 5123, 6521, 607, 454, 275, 269, 14419, 519, 4571, 1467, 607, 692, 2162, 17291, 519, 29938, 540, 513, 16429, 639, 18042, 9577, 689, 606, 17817, 692, 29991, 519, 4571, 1467, 267, 17931, 267, 1974, 267, 543, 5123, 6521, 540, 519, 1599, 692, 4131, 779, 2253, 676, 9236, 519, 3830, 547, 519, 2489, 1106, 692, 810, 519, 17931, 568, 692, 9202, 267, 810, 519, 1974, 568, 692, 2467, 568, 1100, 3773, 3586, 3330, 519, 24324, 267, 865, 663, 519, 5123, 6521, 568, 692, 2971, 5811, 692, 11900, 1051, 532, 519, 3113, 267, 649, 666, 3313, 602, 519, 1974, 568, 1492, 4571, 1467, 568, 663, 519, 17931, 568, 476, 274, 269, 6423, 630, 8201, 6393, 2162, 8347, 898, 692, 29991, 519, 4571, 1467, 267, 17931, 267, 1974, 267, 543, 5123, 6521, 540, 519, 1599, 692, 13232, 1467, 281, 600, 680, 3363, 281, 704, 1675, 281, 874, 848, 6521, 1384, 2162, 17291, 519, 17817, 585, 513, 16429, 639, 18042, 9577, 689, 513, 8641, 692, 29991, 519, 4542, 585, 519, 25482, 1599, 538, 630, 8201, 6393, 2414, 3313, 519, 3830, 267, 649, 991, 547, 2697, 1142, 1871, 538, 519, 2489, 1106, 540, 513, 18980, 18042, 1599, 780, 763, 3113, 1223, 2099, 2901, 513, 20534, 610, 513, 25482, 1599, 602, 568, 17146, 543, 5924, 10630, 269, 5453, 660, 515, 3113, 814, 606, 3665, 1448, 267, 7712, 519, 25482, 1599, 814, 606, 3665, 1448, 585, 2280, 721, 2328, 938, 3830, 538, 2474, 540, 513, 25482, 1599, 780, 4131, 779, 1376, 609, 519, 4571, 1467, 269, 1284, 666, 1294, 602, 519, 3113, 14380, 543, 8813, 606, 3160, 3845, 1657, 543, 2630, 1607, 1871, 267, 799, 568, 519, 4571, 1467, 267, 568, 514, 519, 3830, 267, 865, 692, 763, 6574, 3845, 1657, 543, 2630, 519, 4571, 1467, 568, 519, 17931, 269, 634, 3193, 9874, 616, 476, 271, 269, 276, 4559, 1657, 519, 4571, 1467, 543, 519, 6922, 320, 616, 476, 271, 269, 276, 4559, 2630, 519, 4571, 1467, 269, 1924, 5194, 1259, 649, 1223, 723, 5462, 519, 17931, 568, 676, 9301, 602, 519, 3017, 1063, 519, 4463, 540, 2199, 3193, 9874, 543, 6922, 320, 568, 476, 272, 267, 865, 9827, 267, 519, 3113, 568, 10630, 827, 519, 1535, 14289, 865, 602, 692, 763, 3113, 568, 711, 23276, 21401, 610, 19316, 267, 865, 663, 519, 3113, 568, 711, 17146, 23276, 267, 865, 692, 21607, 1154, 713, 782, 1927, 10484, 2162, 8347, 898, 692, 29991, 519, 4542, 585, 519, 20534, 1599, 538, 630, 8201, 6393, 2162, 17291, 519, 17817, 585, 513, 16429, 639, 18042, 9577, 689, 513, 8641, 692, 29991, 519, 3830, 585, 519, 18980, 18042, 1599, 538, 630, 8201, 6393, 4415, 519, 5207, 1871, 693, 476, 272, 543, 519, 9803, 1871, 1140, 515, 4571, 1467, 786, 581, 28870, 1063, 693, 3383, 692, 763, 3845, 689, 519, 4571, 1467, 547, 519, 5207, 610, 9803, 1871, 3947, 606, 17931, 540, 692, 763, 1974, 540, 519, 3113, 568, 476, 277, 267, 799, 666, 581, 6027, 689, 519, 8445, 1140, 334, 519, 1985, 8445, 693, 528, 689, 519, 3845, 1063, 519, 9803, 2798, 269, 4475, 267, 8794, 519, 2318, 1871, 585, 933, 1265, 602, 692, 3383, 2484, 267, 938, 3830, 568, 2901, 528, 2690, 519, 3337, 543, 6521, 267, 649, 723, 811, 982, 835, 4781, 269, 1284, 1223, 2328, 713, 607, 1022, 835, 540, 519, 1739, 1384, 1892, 513, 25482, 17146, 547, 519, 1318, 454, 1892, 513, 2942, 25482, 17146, 547, 519, 2451, 454, 1892, 513, 20534, 17146, 547, 519, 2451, 454, 1892, 513, 2942, 20534, 17146, 547, 519, 1318, 692, 4407, 1022, 540, 891, 1131, 581, 2953, 267, 519, 25482, 10593, 616, 4443, 547, 960, 609, 982, 519, 20534, 10593, 538, 713, 2013, 1317, 789, 4125, 8870, 2418, 269, 1924, 938, 1599, 3587, 692, 26139, 267, 891, 3252, 616, 6697, 267, 865, 1312, 6556, 519, 1482, 3113, 16804, 270, 327, 5200, 268, 24987, 6540, 2162, 8347, 898, 692, 2237, 513, 4542, 585, 519, 1599, 1178, 335, 1117, 538, 630, 8201, 6393, 18314, 7399, 281, 528, 692, 2162, 8641, 532, 29938, 540, 586, 815, 5609, 1535, 543, 586, 815, 5430, 1535, 692, 9961, 713, 3296, 267, 649, 723, 4121, 827, 2010, 540, 7648, 540, 20534, 543, 25482, 3252, 543, 1031, 602, 1344, 547, 2328, 4834, 689, 11708, 269, 3767, 649, 666, 946, 519, 1482, 1344, 547, 1711, 11708, 689, 4834, 780, 21156, 540, 2519, 593, 519, 2489, 1106, 4834, 692, 933, 786, 1577, 663, 663, 960, 609, 513, 16866, 1106, 540, 519, 4834, 538, 519, 1739, 1806, 780, 11693, 519, 3252, 8208, 577, 922, 3113, 780, 272, 269, 10576, 519, 17931, 2676, 273, 269, 10576, 519, 1974, 2676, 274, 269, 3399, 693, 519, 5169, 267, 609, 519, 1599, 2810, 547, 519, 1318, 952, 529, 2318, 610, 13302, 952, 529, 2942, 563, 275, 269, 2311, 11004, 568, 513, 2199, 5021, 585, 528, 513, 5934, 585, 5976, 454, 276, 269, 634, 7455, 7024, 547, 519, 1535, 14289, 693, 454, 277, 269, 1703, 568, 513, 2199, 5934, 585, 32384, 3065, 585, 264, 693, 5976, 454, 278, 269, 634, 7455, 7024, 1586, 547, 519, 1535, 14289, 693, 692, 2162, 8641, 532, 513, 9577, 543, 17291, 519, 2549, 680, 3363, 543, 11270, 692, 306, 8208, 577, 513, 3113, 540, 692, 4131, 779, 2253, 676, 9236, 519, 3830, 547, 519, 1106, 692, 1892, 5153, 476, 272, 269, 1284, 666, 1294, 689, 519, 3830, 602, 810, 519, 17931, 568, 476, 273, 563, 1892, 5153, 476, 273, 269, 634, 3830, 2982, 602, 810, 519, 1974, 568, 454, 1892, 5153, 476, 274, 269, 5221, 529, 2942, 267, 519, 3113, 1784, 1742, 607, 649, 1847, 547, 519, 1318, 540, 519, 5169, 563, 1892, 5153, 476, 275, 1700, 278, 269, 634, 1535, 25435, 338, 616, 693, 519, 4098, 540, 835, 1974, 32586, 8880, 4571, 9557, 616, 693, 663, 693, 519, 1439, 540, 835, 1974, 693, 692, 763, 10116, 2798, 1331, 519, 5934, 693, 663, 519, 5021, 693, 288, 2199, 5934, 786, 2049, 476, 273, 4559, 2630, 519, 4571, 1467, 267, 693, 663, 513, 2199, 5021, 786, 2049, 693, 476, 273, 4559, 1657, 519, 4571, 1467, 267, 693, 263, 8201, 264, 2982, 519, 3113, 540, 519, 1599, 780, 2162, 8347, 898, 692, 306, 8208, 577, 513, 3113, 540, 29991, 519, 4571, 1467, 267, 17931, 267, 1974, 267, 543, 5123, 6521, 780, 13232, 1467, 281, 600, 680, 3363, 281, 704, 1675, 281, 874, 848, 6521, 281, 610, 9039, 692, 11693, 513, 18980, 18042, 1599, 609, 513, 5123, 6521, 543, 513, 7299, 6521, 267, 17250, 922, 3113, 780, 272, 269, 18124, 519, 1599, 538, 519, 2489, 1106, 454, 273, 269, 10576, 519, 17931, 2676, 274, 269, 10576, 519, 1974, 2676, 275, 269, 10576, 519, 5123, 6521, 2676, 276, 269, 8571, 519, 3113, 540, 17146, 547, 519, 1318, 610, 2451, 676, 663, 909, 610, 1524, 676, 692, 2162, 8641, 532, 513, 3690, 11526, 16429, 639, 1355, 692, 306, 8208, 577, 513, 3113, 540, 692, 1892, 5153, 476, 272, 269, 634, 1599, 568, 2907, 2854, 538, 2489, 1106, 281, 1607, 3113, 786, 723, 519, 3337, 540, 513, 20534, 1599, 267, 4358, 693, 519, 4571, 1467, 543, 2810, 547, 519, 1318, 563, 1892, 5153, 476, 273, 7868, 17931, 568, 476, 274, 563, 1892, 5153, 476, 274, 269, 4595, 933, 3313, 519, 1974, 607, 5205, 780, 763, 1974, 568, 476, 279, 780, 1892, 5153, 476, 275, 269, 590, 4532, 9220, 5123, 6521, 568, 692, 763, 5123, 6521, 568, 476, 272, 1770, 780, 1892, 5153, 476, 276, 15301, 8201, 264, 2982, 519, 3113, 540, 519, 1599, 780, 2162, 8347, 898, 692, 19352, 513, 3113, 540, 29991, 519, 4571, 1467, 267, 17931, 267, 1974, 267, 543, 5123, 6521, 780, 13232, 1467, 281, 600, 680, 3363, 281, 704, 1675, 281, 874, 848, 6521, 1384, 2162, 17291, 519, 16544, 540, 513, 16429, 639, 18042, 9577, 692, 294, 643, 754, 9057, 710, 519, 17931, 267, 1974, 267, 5123, 6521, 267, 543, 8880, 6521, 269, 3973, 3113, 519, 1599, 780, 24375, 676, 9236, 519, 3830, 547, 519, 2489, 1106, 543, 946, 519, 3268, 13890, 538, 630, 8201, 6393, 1892, 5153, 476, 272, 269, 634, 1599, 568, 2907, 2854, 538, 2489, 1106, 563, 1892, 5153, 476, 273, 269, 590, 4532, 9220, 17931, 568, 454, 1892, 5153, 476, 274, 269, 810, 519, 1974, 568, 763, 1974, 568, 476, 275, 563, 1892, 5153, 476, 275, 269, 810, 649, 5173, 519, 5123, 6521, 607, 763, 5123, 6521, 568, 454, 1892, 5153, 476, 276, 269, 810, 519, 4571, 1467, 568, 663, 519, 7299, 6521, 568, 909, 476, 274, 780, 7712, 529, 2942, 267, 519, 3113, 540, 519, 25482, 1599, 814, 1044, 10630, 827, 519, 1535, 14289, 780, 263, 8201, 264, 2982, 835, 4783, 540, 519, 3113, 540, 519, 1599, 780, 2162, 4635, 17992, 725, 540, 590, 710, 543, 15328, 710, 12793, 692, 2171, 666, 946, 519, 14759, 540, 20534, 543, 25482, 3252, 538, 3875, 3156, 269, 1306, 5018, 693, 519, 4098, 540, 519, 3184, 267, 9764, 5163, 666, 581, 24018, 1210, 2901, 519, 20534, 610, 25482, 1599, 780, 2162, 15531, 519, 26432, 3281, 9426, 540, 8562, 983, 18289, 692, 288, 1448, 29226, 1472, 513, 5858, 540, 8953, 476, 274, 10704, 693, 519, 5169, 269, 28220, 513, 3113, 540, 519, 586, 18396, 15453, 540, 519, 1448, 607, 513, 1599, 540, 519, 5086, 540, 10047, 780, 13434, 718, 602, 267, 585, 513, 1448, 593, 513, 5858, 540, 8953, 678, 267, 519, 586, 18396, 15453, 540, 519, 1448, 568, 454, 810, 538, 713, 2013, 267, 649, 1205, 519, 3830, 454, 763, 3586, 476, 274, 3123, 513, 7299, 12701, 540, 519, 586, 268, 11161, 540, 519, 1599, 676, 513, 3815, 540, 476, 274, 267, 799, 649, 666, 1294, 538, 519, 3113, 538, 630, 8201, 6393, 2971, 5811, 692, 30860, 602, 519, 1974, 540, 519, 1599, 568, 1869, 553, 649, 2951, 1472, 519, 5858, 267, 649, 2132, 547, 519, 1448, 1721, 10303, 519, 17016, 540, 519, 3113, 786, 1631, 14251, 622, 1063, 663, 1492, 17931, 540, 519, 20534, 5951, 568, 692, 2162, 8347, 898, 692, 1432, 568, 519, 17931, 540, 519, 1599, 306, 8208, 577, 513, 3113, 540, 713, 1599, 780, 278, 692, 2162, 15531, 519, 26432, 3281, 9426, 540, 8562, 983, 18289, 692, 288, 5858, 609, 8953, 476, 274, 10264, 568, 15841, 609, 922, 4099, 476, 275, 10264, 1055, 519, 2666, 269, 634, 1448, 14191, 547, 519, 2666, 568, 13042, 623, 267, 607, 3254, 538, 630, 8201, 1040, 28220, 513, 3113, 540, 519, 4463, 1657, 519, 2666, 540, 519, 1448, 553, 519, 5858, 568, 29352, 282, 1287, 1265, 513, 1599, 602, 3947, 519, 4463, 538, 2474, 540, 519, 5086, 540, 10047, 780, 306, 8208, 4221, 519, 4463, 267, 649, 4063, 602, 621, 786, 1376, 476, 272, 10264, 1657, 519, 2666, 267, 1287, 2333, 909, 547, 476, 278, 10264, 1657, 519, 2666, 267, 543, 3136, 547, 14251, 622, 476, 274, 10264, 1657, 543, 2630, 519, 4099, 1871, 540, 476, 275, 10264, 267, 607, 3254, 538, 630, 8201, 6393, 7212, 649, 1223, 946, 513, 7004, 540, 2901, 519, 20534, 610, 25482, 1599, 267, 649, 1376, 676, 3168, 585, 4162, 602, 1131, 1118, 835, 1599, 4443, 547, 946, 982, 519, 824, 269, 2913, 779, 946, 513, 25482, 1599, 1317, 621, 6238, 693, 519, 5207, 610, 9803, 1871, 267, 1247, 513, 20534, 1599, 6238, 693, 519, 1647, 1871, 269, 589, 3044, 25482, 6238, 693, 519, 5207, 1871, 267, 543, 713, 3113, 6238, 693, 519, 9803, 1871, 267, 865, 649, 991, 547, 6451, 513, 7299, 8086, 780, 13553, 267, 649, 1294, 602, 519, 3113, 14251, 919, 476, 274, 1657, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2949, 1134, 5630, 780, 7628, 1200, 3408, 267, 7705, 11402, 1896, 3871, 8506, 2596, 1101, 5351, 1983, 269, 769, 835, 3236, 267, 1352, 4718, 513, 1895, 540, 1453, 4730, 2282, 513, 10977, 7535, 269, 22582, 267, 835, 1126, 8593, 883, 519, 1216, 543, 3323, 10010, 547, 7669, 269, 9453, 11688, 2787, 267, 1776, 1126, 29860, 538, 543, 15504, 519, 546, 20621, 6408, 856, 540, 519, 7535, 269, 634, 11324, 21838, 1287, 13761, 519, 6408, 781, 7244, 543, 13942, 1354, 7900, 31214, 269, 18641, 267, 519, 6408, 1036, 7134, 9637, 267, 543, 6595, 4431, 619, 3576, 936, 780, 1103, 1776, 3510, 267, 7705, 14754, 513, 1268, 12900, 5196, 519, 2666, 1813, 547, 513, 23069, 269, 1635, 1056, 619, 3533, 23498, 519, 1858, 1472, 519, 6408, 543, 24458, 602, 4986, 29572, 539, 741, 7244, 269, 30850, 267, 2576, 1572, 585, 2564, 6351, 1247, 1866, 1500, 2386, 519, 6408, 1705, 711, 3614, 675, 2933, 1282, 519, 12558, 269, 16828, 267, 1612, 3139, 923, 8452, 543, 16487, 519, 3461, 547, 519, 6413, 585, 2417, 6268, 780, 9961, 891, 2833, 267, 7705, 7691, 602, 3425, 7048, 8185, 593, 1142, 824, 585, 6668, 269, 6736, 741, 16426, 267, 789, 8858, 7415, 4222, 543, 6043, 269, 4256, 2702, 547, 5968, 543, 28111, 2636, 873, 547, 7753, 2591, 1927, 269, 7705, 25343, 519, 8296, 543, 22838, 10268, 676, 519, 2043, 945, 3177, 1101, 5351, 543, 2596, 1272, 1489, 269, 27837, 676, 741, 3527, 267, 7705, 4956, 547, 2671, 1200, 16012, 1702, 609, 1200, 1004, 1394, 1753, 269, 1635, 3257, 865, 267, 1352, 12479, 547, 6536, 1620, 1063, 1114, 2249, 543, 3895, 10103, 2429, 519, 7122, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 1993, 26684, 2228, 11012, 3522, 9261, 3378, 7846, 10948, 4138, 16021, 23783, 579, 6447, 263, 5208, 25566, 1040, 12356, 267, 543, 519, 4152, 781, 13664, 1876, 7000, 547, 15974, 7229, 269, 13814, 543, 12995, 10272, 909, 269, 13814, 267, 2731, 540, 1141, 519, 10805, 2984, 616, 2808, 269, 9721, 25465, 610, 6417, 547, 519, 1804, 22155, 269, 4013, 6316, 538, 519, 4639, 267, 607, 607, 621, 1281, 547, 519, 7820, 2792, 269, 1306, 789, 616, 621, 267, 713, 568, 2228, 11012, 3522, 9261, 3378, 7846, 10948, 4138, 16021, 23783, 579, 6447, 267, 7087, 2533, 543, 1053, 269, 17037, 540, 713, 1995, 1265, 6569, 607, 8513, 8847, 269, 4207, 561, 13903, 543, 607, 1082, 941, 3126, 547, 13760, 575, 732, 269, 1325, 1627, 4660, 320, 568, 4061, 8195, 513, 7123, 2228, 269, 589, 1480, 18266, 6888, 9562, 602, 568, 17179, 27180, 519, 6530, 540, 1018, 649, 3494, 562, 748, 13596, 269, 1379, 538, 519, 10638, 540, 1010, 25715, 269, 2228, 11012, 3522, 9261, 3378, 7846, 10948, 4138, 16021, 23783, 579, 6447, 476, 273, 962, 817, 514, 540, 8621, 553, 593, 519, 27794, 269, 22347, 3827, 547, 9940, 27224, 2073, 519, 2147, 13915, 6743, 23483, 547, 2070, 1864, 538, 1569, 269, 8849, 4654, 538, 519, 13814, 269, 7459, 267, 1934, 689, 11894, 543, 631, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2657, 1299, 11545, 12389, 1315, 3689, 22707, 1315, 9978, 5020, 8081, 10341, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 1160, 15383, 3752, 7228, 725, 281, 589, 14265, 1017, 1306, 1051, 540, 9523, 14516, 22640, 538, 1530, 15247, 4521, 692, 1103, 519, 7706, 540, 9746, 10350, 267, 519, 1523, 540, 21285, 1151, 7228, 725, 4249, 513, 11358, 1909, 538, 4180, 2671, 14516, 9111, 543, 7863, 20090, 2924, 269, 901, 3296, 786, 5490, 2620, 883, 519, 14960, 540, 21285, 1151, 7228, 725, 1369, 19736, 1876, 267, 5373, 2390, 519, 19506, 2013, 540, 570, 2350, 25475, 29651, 269, 642, 269, 667, 2727, 2401, 2419, 24075, 2401, 543, 922, 6286, 585, 2413, 14078, 269, 1635, 3695, 519, 3656, 5943, 4478, 21285, 1151, 7228, 725, 267, 7421, 4143, 16324, 3664, 267, 543, 7234, 4207, 7835, 267, 713, 11407, 6663, 547, 16491, 1053, 609, 513, 9488, 1620, 540, 713, 2565, 2460, 540, 19736, 7939, 780, 296, 269, 634, 17943, 540, 1160, 15383, 3752, 7228, 725, 692, 288, 269, 9502, 543, 20828, 692, 4263, 922, 4295, 267, 513, 21285, 1151, 545, 2787, 4016, 547, 519, 1184, 998, 799, 513, 18294, 11394, 28431, 689, 922, 23265, 547, 957, 593, 741, 15773, 1282, 11401, 1141, 1271, 2754, 6927, 616, 5941, 543, 20366, 2390, 269, 1452, 2152, 666, 2039, 689, 1528, 532, 2818, 540, 519, 4604, 540, 19971, 547, 1237, 1324, 1713, 8852, 971, 607, 12388, 619, 543, 4203, 29792, 269, 769, 9759, 267, 21285, 1151, 7228, 725, 7520, 2792, 1063, 2359, 543, 9520, 267, 5807, 5483, 3375, 6194, 543, 30176, 2671, 14516, 9111, 780, 289, 269, 13751, 17563, 717, 1478, 940, 1160, 15383, 3752, 7228, 725, 692, 763, 3119, 2707, 540, 5583, 3823, 21285, 1151, 7228, 725, 11710, 689, 8791, 476, 1691, 5416, 264, 540, 519, 1530, 15247, 16510, 2920, 540, 476, 4350, 275, 9497, 2750, 4219, 2920, 20257, 2037, 716, 539, 538, 3210, 547, 7839, 28407, 1282, 519, 4279, 12870, 267, 8791, 476, 1691, 5416, 264, 31433, 602, 1615, 340, 619, 1683, 4977, 543, 2347, 1344, 950, 5275, 2671, 14516, 13170, 3842, 21285, 6898, 269, 28597, 609, 891, 6042, 5849, 11413, 267, 8992, 14619, 267, 543, 6038, 28863, 20090, 4690, 780, 2862, 269, 570, 2350, 25475, 29651, 269, 642, 269, 667, 2727, 2401, 2419, 24075, 2401, 281, 589, 8865, 5530, 593, 1160, 15383, 700, 6636, 692, 288, 269, 5517, 783, 17461, 692, 307, 2350, 25475, 29651, 269, 642, 269, 667, 2727, 2401, 2419, 24075, 2401, 3238, 513, 865, 10777, 834, 16451, 2763, 13050, 257, 32421, 267, 13296, 519, 3077, 2754, 781, 12102, 23265, 1796, 547, 6336, 741, 9562, 7196, 1813, 547, 519, 11834, 269, 13018, 267, 3689, 1977, 7813, 540, 9098, 630, 1492, 834, 289, 1678, 8442, 8179, 547, 19467, 883, 9098, 24434, 3873, 637, 267, 5549, 269, 630, 309, 10292, 1070, 513, 28025, 24804, 13564, 10706, 540, 3689, 1977, 24434, 3873, 637, 267, 5549, 269, 630, 293, 5723, 296, 1040, 6736, 1100, 2769, 10421, 896, 9098, 1876, 547, 798, 865, 267, 519, 7813, 781, 19971, 4956, 547, 32694, 606, 21141, 3948, 28409, 23265, 547, 9772, 519, 32421, 11556, 780, 289, 269, 7225, 2772, 5811, 692, 763, 2267, 343, 540, 519, 15539, 26523, 539, 593, 2436, 8791, 476, 1691, 5416, 264, 15668, 1223, 8936, 1759, 9003, 593, 513, 2671, 14516, 781, 6071, 771, 10964, 3971, 610, 3768, 529, 743, 2216, 30254, 7282, 519, 6111, 540, 519, 21285, 3948, 1765, 23719, 1022, 2963, 540, 535, 1023, 640, 610, 22801, 6898, 269, 769, 513, 796, 29434, 748, 3375, 30363, 676, 10456, 2480, 26515, 267, 519, 10966, 7040, 4371, 602, 621, 1223, 711, 269, 22353, 267, 519, 7040, 15091, 602, 27674, 14554, 1590, 6542, 15889, 2800, 4611, 689, 1570, 569, 22801, 610, 18106, 12607, 17007, 547, 3715, 513, 14323, 3409, 896, 8791, 476, 1691, 5416, 6393, 7656, 269, 19750, 20480, 543, 12634, 3763, 906, 692, 288, 269, 16237, 6533, 539, 4347, 5151, 585, 11283, 725, 692, 16729, 570, 2350, 25475, 29651, 269, 642, 269, 667, 2727, 2401, 2419, 24075, 2401, 267, 3549, 723, 10150, 29103, 1229, 23640, 1996, 9992, 643, 565, 748, 6811, 16109, 689, 21285, 1151, 7228, 725, 269, 1717, 267, 713, 1281, 711, 2612, 9876, 873, 689, 741, 10279, 547, 29939, 5168, 995, 543, 7850, 1344, 547, 23265, 269, 5502, 267, 621, 19156, 519, 2956, 540, 13167, 2312, 267, 13801, 267, 543, 1134, 28175, 560, 656, 7007, 21285, 2326, 1247, 8195, 15658, 2590, 2309, 2065, 25036, 780, 289, 269, 10765, 12367, 543, 12694, 692, 1103, 2221, 781, 6385, 9687, 1870, 5251, 267, 6639, 7760, 723, 9927, 875, 14078, 4497, 609, 741, 9520, 269, 7913, 5867, 1631, 4196, 607, 2442, 23447, 585, 22412, 908, 21285, 5829, 1344, 267, 26089, 8242, 4808, 3358, 547, 891, 6932, 9055, 269, 3958, 267, 5571, 9840, 827, 2825, 267, 1514, 267, 543, 10350, 630, 2464, 294, 264, 2188, 3136, 547, 3337, 519, 32725, 540, 21285, 1151, 7228, 725, 267, 10223, 519, 991, 585, 6024, 9542, 1369, 713, 6422, 2361, 780, 290, 269, 7454, 13756, 585, 13229, 1160, 15383, 3752, 7228, 725, 692, 2414, 6330, 891, 10848, 6707, 267, 14078, 1058, 15666, 547, 1896, 1655, 2853, 950, 10647, 21285, 1151, 7228, 725, 1384, 272, 269, 18897, 5699, 2689, 782, 3344, 540, 519, 6069, 11834, 267, 7114, 1761, 2127, 540, 6161, 610, 15784, 3248, 273, 269, 22682, 24808, 519, 24117, 3297, 519, 6069, 2962, 267, 5466, 1312, 922, 2640, 543, 19363, 3248, 274, 269, 2598, 29148, 782, 1570, 5013, 22317, 547, 519, 3375, 693, 1688, 267, 9319, 16496, 9631, 3827, 610, 22801, 6898, 3248, 275, 269, 18918, 609, 23265, 2429, 519, 1184, 267, 1151, 545, 1746, 5955, 543, 6220, 10372, 1141, 3617, 3248, 276, 269, 22676, 720, 2029, 547, 3986, 11413, 543, 10333, 267, 9001, 3059, 2645, 547, 7110, 2757, 1957, 10618, 780, 3528, 1739, 891, 3741, 267, 14078, 666, 6536, 3972, 267, 3895, 6278, 267, 543, 6830, 1518, 741, 3347, 609, 9520, 1765, 718, 2629, 3334, 540, 1279, 3856, 1967, 538, 2221, 781, 8013, 19458, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3835, 532, 602, 19926, 476, 1691, 15668, 949, 711, 581, 3964, 593, 834, 332, 699, 771, 10964, 3971, 610, 3768, 529, 743, 2216, 30254, 1510, 1022, 17431, 602, 519, 21285, 3948, 729, 7301, 610, 22801, 257, 23087, 540, 713, 2013, 689, 570, 2350, 25475, 29651, 269, 642, 269, 667, 2727, 2401, 2419, 24075, 2401, 454, 26855, 4240, 5239, 476, 280, 267, 476, 1960, 271, 5463, 3660, 4873, 476, 2767, 267, 476, 1960, 272, 454, 2026, 851, 540, 513, 6069, 834, 16451, 2763, 13050, 257, 32421, 267, 538, 799, 3689, 1977, 7813, 540, 9098, 630, 289, 1678, 264, 1131, 581, 24673, 883, 21936, 518, 9098, 24434, 3873, 637, 267, 5549, 269, 630, 309, 10292, 1070, 513, 28025, 11262, 13564, 10706, 540, 21936, 518, 3689, 1977, 24434, 3873, 637, 267, 5549, 269, 630, 293, 5723, 296, 1070, 519, 7813, 781, 10324, 12233, 543, 4604, 9516, 513, 3902, 540, 1269, 5655, 513, 2671, 585, 519, 12102, 6006, 6868, 267, 945, 1131, 6336, 741, 4690, 538, 519, 7813, 1310, 519, 32421, 269, 4014, 9098, 1876, 2838, 1152, 602, 519, 32421, 11556, 581, 11643, 547, 513, 8917, 693, 513, 23265, 262, 5870, 267, 28263, 676, 513, 10009, 540, 606, 21141, 3948, 547, 519, 23265, 267, 21936, 518, 7813, 19971, 18562, 1151, 545, 1243, 9938, 625, 585, 13359, 593, 519, 11556, 269, 4256, 1151, 545, 2787, 24016, 519, 11556, 781, 10073, 543, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 15383, 3752, 7228, 725, 257, 607, 851, 540, 834, 30311, 1315, 1530, 15247, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 20435, 710, 9085, 256, 901, 7936, 540, 13400, 2090, 6212, 593, 12591, 11911, 547, 3627, 267, 835, 540, 4906, 262, 12964, 19980, 956, 269, 4653, 267, 649, 786, 4685, 883, 513, 4241, 2243, 827, 5132, 543, 1620, 910, 875, 798, 649, 31363, 519, 2856, 540, 513, 15962, 2696, 609, 519, 4527, 540, 9409, 538, 519, 1158, 286, 2913, 781, 1376, 676, 1620, 1018, 1412, 5271, 559, 262, 1797, 538, 713, 2796, 269, 5345, 559, 4016, 547, 4376, 602, 3123, 1928, 267, 7092, 267, 610, 2800, 269, 3767, 1577, 781, 1451, 827, 513, 2189, 1259, 1004, 723, 6836, 547, 2232, 713, 4161, 998, 1945, 1572, 1412, 1492, 617, 5390, 9538, 692, 288, 519, 617, 5390, 568, 513, 16681, 2262, 585, 7713, 1946, 513, 1434, 2696, 2636, 3983, 1919, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5528, 1916, 1892, 8347, 1114, 19919, 2418, 547, 7747, 519, 1689, 538, 21386, 540, 519, 27178, 267, 607, 1114, 27856, 786, 8532, 1114, 28696, 269, 3371, 267, 596, 666, 2268, 519, 6453, 6749, 676, 519, 1114, 27856, 676, 11093, 519, 1079, 28525, 540, 519, 1617, 9014, 693, 2901, 1439, 540, 519, 19919, 543, 2542, 519, 1871, 780, 272, 269, 1677, 1628, 519, 6252, 5547, 267, 1921, 1614, 27178, 538, 6252, 4276, 799, 3340, 519, 30932, 11196, 264, 540, 782, 519, 27178, 547, 581, 593, 519, 1482, 5122, 6843, 630, 26383, 1070, 13974, 585, 519, 606, 3941, 22791, 1040, 9747, 267, 1921, 519, 1101, 10896, 28525, 593, 1022, 1079, 1114, 9343, 593, 519, 3694, 4580, 267, 22921, 476, 272, 268, 1789, 563, 273, 269, 3973, 1921, 519, 824, 1079, 10896, 28525, 538, 519, 1482, 6073, 593, 1022, 540, 519, 2947, 2009, 6241, 3681, 630, 320, 3887, 264, 952, 593, 519, 2451, 2427, 540, 519, 3694, 4580, 610, 630, 325, 18191, 264, 952, 593, 519, 1318, 2427, 540, 519, 3694, 4580, 780, 2080, 616, 2185, 1114, 5036, 630, 1042, 267, 4544, 267, 5835, 543, 3039, 264, 540, 1614, 27178, 538, 6252, 910, 1141, 519, 2699, 1850, 4564, 519, 3476, 606, 1712, 22791, 264, 1850, 543, 3109, 519, 10156, 267, 30932, 11196, 264, 1850, 780, 272, 269, 1677, 1379, 519, 6252, 5547, 267, 1921, 519, 2318, 543, 2942, 1379, 986, 2812, 547, 1022, 540, 519, 6967, 1079, 6241, 3681, 585, 22791, 264, 543, 11196, 1070, 607, 596, 1705, 609, 519, 3126, 4276, 780, 3086, 7747, 519, 21386, 540, 519, 27178, 543, 5635, 713, 609, 519, 3126, 4276, 780, 21010, 513, 2582, 10896, 547, 1379, 593, 707, 3694, 4580, 607, 829, 519, 6516, 1109, 10964, 578, 269, 1109, 21607, 519, 10896, 538, 1101, 910, 1287, 1921, 621, 547, 519, 1379, 16317, 272, 269, 2422, 513, 3349, 17180, 547, 1118, 513, 1793, 527, 538, 519, 15837, 269, 23453, 519, 7601, 11777, 22791, 264, 883, 519, 1793, 527, 543, 519, 27647, 1242, 17684, 11196, 264, 883, 513, 1114, 851, 540, 519, 15837, 563, 273, 269, 4045, 811, 12277, 538, 3126, 547, 2333, 6453, 1107, 1376, 609, 1079, 547, 1294, 952, 789, 1683, 2614, 1379, 269, 1677, 798, 865, 267, 1921, 519, 606, 1712, 22791, 7601, 264, 540, 835, 15837, 547, 519, 30932, 11196, 27647, 1242, 17684, 264, 540, 1776, 15837, 1210, 3606, 32613, 1807, 24056, 563, 274, 269, 8838, 1308, 910, 1411, 666, 946, 1109, 320, 1617, 9014, 547, 2268, 519, 6453, 540, 519, 15837, 563, 275, 269, 2422, 513, 1305, 540, 32613, 1807, 24056, 547, 1921, 519, 7601, 540, 606, 1439, 630, 3410, 1400, 264, 15837, 547, 519, 2318, 1379, 986, 2812, 543, 519, 27647, 1242, 17684, 540, 519, 824, 1439, 630, 3410, 1400, 264, 15837, 547, 519, 2942, 1379, 986, 2812, 269, 1411, 786, 5469, 519, 10896, 13324, 269, 1411, 786, 2693, 991, 547, 3897, 519, 4055, 8279, 547, 1294, 519, 10896, 1769, 909, 780, 9616, 281, 1411, 666, 1039, 811, 12277, 547, 2333, 519, 6453, 1379, 547, 707, 5547, 610, 596, 666, 2759, 519, 12277, 883, 30556, 543, 1921, 519, 2185, 30556, 538, 3126, 547, 2333, 519, 6453, 789, 3761, 269, 1109, 1215, 1082, 4773, 540, 15837, 1354, 596, 666, 1294, 519, 10896, 1510, 3897, 2719, 519, 4055, 8279, 2496, 10702, 7634, 692, 1892, 1411, 1223, 2119, 14495, 519, 12277, 547, 1205, 811, 1761, 856, 540, 873, 630, 26074, 621, 1058, 1491, 1447, 12277, 994, 1892, 15240, 3482, 519, 12277, 609, 824, 1426, 3688, 899, 19790, 976, 267, 18812, 26258, 610, 737, 12685, 529, 563, 1892, 4495, 1109, 9767, 1205, 519, 10896, 547, 1769, 909, 29116, 609, 12277, 1018, 4523, 952, 596, 1039, 513, 2034, 10896, 538, 3126, 286, 1109, 769, 6252, 286, 0, 1012, 589, 2656, 6609, 540, 707, 2243, 13718, 8310, 1032, 267, 476, 276, 2420, 267, 276, 3607, 1007, 6472, 941, 4421, 538, 12425, 269, 3958, 267, 519, 5223, 540, 6472, 602, 946, 17088, 4492, 547, 6472, 602, 946, 25793, 12184, 4492, 729, 476, 278, 547, 476, 2190, 269, 1215, 1082, 540, 519, 1007, 6472, 4421, 538, 12425, 2063, 1032, 2196, 593, 17088, 4492, 2496, 1892, 2913, 267, 6472, 602, 946, 17088, 4492, 815, 1535, 692, 557, 327, 2873, 602, 946, 25793, 12184, 4492, 815, 586, 692, 343, 1341, 586, 815, 476, 276, 2420, 267, 276, 3607, 454, 663, 267, 1535, 30819, 815, 476, 278, 1315, 476, 2190, 692, 1584, 1535, 815, 630, 278, 270, 2190, 264, 344, 267, 538, 1101, 552, 336, 566, 2676, 6533, 267, 1535, 815, 476, 14056, 267, 4200, 273, 454, 1492, 1007, 6472, 4421, 538, 12425, 2063, 1032, 2196, 593, 17088, 4492, 815, 476, 14056, 267, 4200, 273, 454, 1892, 2913, 267, 6472, 602, 946, 17088, 4492, 815, 1535, 692, 557, 327, 2873, 602, 946, 25793, 12184, 4492, 815, 586, 692, 343, 1341, 586, 815, 476, 276, 2420, 267, 276, 3607, 454, 663, 267, 1535, 30819, 815, 476, 278, 1315, 476, 2190, 692, 1584, 1535, 815, 630, 278, 270, 2190, 264, 344, 267, 538, 1101, 552, 336, 566, 2676, 6533, 267, 1535, 815, 476, 14056, 267, 4200, 273, 454, 1492, 1007, 6472, 4421, 538, 12425, 2063, 1032, 2196, 593, 17088, 4492, 815, 476, 14056, 267, 4200, 273, 454, 563, 680, 1087, 2557, 713, 1101, 267, 2347, 543, 2953, 3070, 9982, 907, 2483, 1892, 1577, 2698, 6174, 4421, 815, 476, 4029, 343, 454, 323, 19342, 6174, 815, 476, 278, 343, 0, 258, 1215, 798, 596, 14458, 910, 279, 343, 1341, 476, 278, 268, 476, 275, 343, 1341, 476, 276, 2496, 9802, 476, 280, 267, 476, 1001, 279, 692, 27572, 476, 1321, 1535, 1341, 476, 1321, 6911, 2971, 19247, 1384, 27572, 476, 279, 1535, 1341, 476, 278, 910, 476, 275, 1535, 1341, 476, 276, 6911, 305, 792, 9792, 912, 27572, 476, 279, 1535, 1341, 476, 278, 910, 476, 275, 1535, 1341, 476, 276, 14204, 27572, 476, 279, 1535, 910, 476, 275, 1535, 1341, 476, 278, 1341, 476, 276, 6911, 23382, 710, 6145, 16301, 912, 27572, 476, 279, 1535, 910, 476, 275, 1535, 1341, 476, 278, 1341, 476, 276, 14204, 27572, 476, 1321, 1535, 1341, 476, 1321, 259, 0, 7628, 519, 1032, 267, 23580, 1889, 1575, 267, 5549, 1421, 6976, 519, 5993, 26318, 593, 519, 476, 278, 267, 1822, 8843, 540, 476, 275, 269, 4037, 9077, 1269, 1911, 1612, 1871, 9053, 6006, 602, 941, 14222, 519, 3003, 1032, 269, 12433, 2596, 15271, 829, 2671, 540, 1455, 6006, 585, 519, 1032, 8694, 5412, 476, 4029, 267, 476, 1001, 274, 12361, 9978, 2423, 940, 3131, 9523, 2423, 940, 829, 2671, 568, 835, 540, 519, 2883, 5223, 543, 568, 849, 3254, 2059, 609, 3666, 9212, 269, 901, 5223, 2982, 875, 1454, 519, 2754, 568, 15980, 1996, 1142, 2671, 610, 649, 666, 2161, 602, 875, 1454, 1142, 2671, 4991, 540, 519, 2698, 15271, 269, 634, 15980, 829, 2671, 568, 17223, 676, 12270, 519, 3328, 1297, 540, 1455, 6006, 689, 2121, 15271, 2139, 547, 1455, 6006, 269, 12361, 8382, 543, 19247, 281, 9978, 15980, 829, 2671, 815, 4880, 15271, 2139, 547, 1455, 6006, 270, 2597, 3328, 540, 8843, 14222, 3371, 267, 3040, 2423, 11789, 2139, 585, 1455, 6006, 815, 4880, 20677, 910, 29435, 754, 6976, 547, 9053, 6006, 18092, 259, 14695, 4968, 910, 630, 10384, 271, 8843, 2608, 1269, 1911, 2608, 476, 275, 269, 4037, 8472, 815, 259, 280, 1789, 2004, 454, 1892, 13379, 539, 19105, 540, 8843, 14222, 815, 476, 24496, 876, 8843, 2608, 630, 1321, 270, 1321, 264, 1341, 476, 9873, 876, 8843, 2608, 630, 279, 270, 1321, 264, 910, 476, 14596, 271, 8843, 2608, 630, 272, 270, 1321, 264, 815, 476, 276, 2420, 11011, 269, 6858, 8843, 692, 3383, 10484, 21995, 2423, 11789, 3131, 9523, 540, 5871, 14351, 815, 1269, 280, 1789, 2004, 1315, 476, 276, 2420, 11011, 269, 6858, 8843, 815, 259, 272, 269, 6507, 280, 829, 2671, 780, 1692, 547, 12433, 2423, 11789, 3131, 9523, 281, 9502, 1299, 16754, 692, 5228, 4985, 547, 6355, 281, 14581, 6435, 12754, 692, 6637, 476, 2190, 1315, 7689, 476, 1691, 454, 8099, 298, 0, 14611, 8525, 1923, 6423, 2661, 2376, 1923, 22843, 673, 4994, 692, 288, 10155, 1652, 1297, 568, 513, 7274, 799, 6257, 513, 1978, 2168, 1062, 543, 799, 568, 513, 6986, 1297, 1510, 1022, 2168, 4559, 269, 6270, 513, 1297, 568, 3335, 3989, 607, 513, 1587, 610, 5223, 540, 9424, 799, 798, 723, 4559, 267, 538, 971, 513, 1259, 602, 782, 4559, 22599, 780, 2690, 1383, 281, 834, 821, 856, 540, 1169, 476, 1015, 13212, 594, 5531, 568, 4232, 1084, 1701, 634, 4232, 1084, 3562, 3766, 9312, 5223, 568, 1496, 272, 11945, 316, 1315, 1496, 1015, 13212, 316, 815, 476, 271, 269, 272, 267, 799, 568, 513, 10155, 1652, 7274, 780, 291, 574, 3290, 1652, 2338, 616, 4922, 4294, 538, 519, 2361, 540, 7344, 543, 3114, 4702, 269, 4340, 547, 519, 21207, 532, 5069, 12631, 7308, 648, 332, 540, 21021, 2079, 267, 519, 6198, 13829, 1063, 513, 1978, 1297, 630, 324, 3052, 12727, 562, 264, 540, 4632, 666, 581, 4389, 676, 519, 1297, 630, 324, 3052, 269, 737, 264, 540, 4830, 7516, 9648, 538, 1346, 4632, 547, 2285, 513, 1305, 540, 533, 815, 562, 910, 737, 4830, 267, 10155, 1652, 2338, 269, 1280, 519, 5301, 540, 519, 4603, 518, 267, 1114, 1949, 799, 2671, 519, 1482, 6609, 676, 10155, 1652, 2338, 616, 6697, 780, 1012, 1323, 1383, 692, 763, 1379, 15926, 18870, 540, 513, 13489, 17243, 609, 513, 1880, 9511, 568, 513, 1599, 540, 519, 5860, 543, 519, 25297, 540, 519, 5714, 547, 581, 13489, 1042, 267, 519, 2450, 540, 519, 13489, 17243, 2016, 676, 922, 8006, 267, 543, 519, 3432, 540, 519, 13489, 17243, 269, 4475, 267, 649, 723, 562, 284, 276, 4632, 8204, 938, 1383, 780, 17829, 562, 284, 276, 4632, 616, 3710, 909, 689, 737, 284, 274, 7516, 799, 616, 1384, 1892, 20099, 700, 1496, 332, 2639, 1892, 5384, 570, 1496, 338, 2639, 1892, 7136, 631, 1496, 11899, 6540, 6097, 547, 519, 12631, 7308, 648, 332, 267, 519, 562, 284, 276, 4632, 666, 581, 4389, 676, 519, 737, 284, 274, 7516, 547, 1106, 533, 284, 333, 10275, 284, 276, 268, 274, 284, 273, 4830, 10155, 1652, 2338, 799, 616, 538, 2013, 540, 519, 13489, 17243, 454, 1892, 32083, 1297, 630, 1607, 568, 519, 1034, 1271, 10155, 1652, 1297, 282, 621, 6257, 519, 5714, 2095, 12512, 994, 1892, 5295, 1297, 630, 5327, 32606, 519, 13489, 17243, 543, 849, 3322, 519, 5860, 540, 519, 5714, 2020, 1012, 5903, 532, 540, 10155, 1652, 2338, 692, 2467, 616, 12777, 5215, 630, 1729, 581, 5730, 281, 12808, 264, 10155, 1652, 2338, 1519, 1346, 1373, 1031, 1034, 1419, 281, 630, 514, 9904, 673, 1931, 267, 10834, 741, 2361, 540, 946, 264, 0, 1012, 1215, 547, 4855, 519, 20099, 540, 513, 23738, 26664, 4635, 692, 2414, 1265, 281, 634, 13074, 2427, 630, 1506, 13607, 26664, 264, 540, 519, 3694, 20105, 269, 4706, 4463, 815, 476, 1724, 4559, 269, 4706, 3490, 815, 476, 276, 4559, 269, 1635, 1210, 519, 30494, 4542, 267, 30494, 4542, 815, 20734, 630, 630, 19668, 264, 476, 273, 1341, 630, 19417, 476, 273, 264, 815, 18414, 630, 276, 476, 273, 1341, 1724, 476, 273, 264, 815, 18414, 1839, 266, 15433, 815, 18414, 3707, 815, 1724, 269, 7176, 8382, 281, 634, 13074, 2427, 692, 1012, 25355, 14497, 18185, 692, 763, 25355, 14497, 786, 948, 721, 1265, 519, 30494, 630, 322, 264, 540, 513, 1318, 6906, 267, 2016, 519, 13080, 540, 519, 824, 1079, 5011, 630, 320, 543, 536, 1040, 634, 11532, 281, 513, 273, 1341, 536, 273, 815, 524, 273, 269, 623, 1663, 21794, 538, 519, 692, 1012, 1215, 547, 1265, 519, 3259, 540, 519, 30494, 540, 513, 1318, 6906, 692, 8340, 519, 3259, 540, 519, 30494, 269, 8827, 3689, 267, 2721, 513, 11315, 17250, 540, 519, 6906, 2913, 519, 30494, 581, 1535, 1635, 19456, 23768, 11532, 2340, 18568, 554, 586, 533, 476, 273, 815, 522, 533, 533, 476, 273, 1341, 513, 546, 795, 476, 273, 2340, 18568, 1535, 476, 273, 815, 476, 276, 476, 273, 1341, 476, 1321, 476, 273, 2340, 18568, 1535, 476, 273, 25883, 1892, 476, 6812, 273, 692, 32546, 692, 1892, 476, 1428, 692, 312, 8986, 593, 2344, 692, 1012, 23738, 26664, 18185, 692, 29797, 582, 26664, 630, 322, 264, 815, 20734, 263, 320, 273, 1341, 536, 273, 264, 1717, 267, 606, 2228, 25355, 14497, 18185, 2636, 596, 547, 5173, 519, 3259, 540, 1022, 7508, 5011, 540, 513, 1318, 6906, 269, 16534, 519, 23738, 26664, 609, 2290, 692, 1892, 3629, 2789, 2409, 692, 2467, 616, 2789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 10615, 540, 519, 5842, 5112, 4741, 585, 28544, 693, 519, 2160, 540, 21600, 11412, 334, 267, 5941, 513, 22045, 646, 2813, 585, 4587, 4079, 538, 21600, 547, 3362, 5968, 741, 2115, 538, 2127, 1519, 7658, 8234, 267, 1514, 1489, 267, 543, 1426, 543, 4915, 269, 901, 22045, 267, 1572, 519, 21600, 5046, 268, 866, 28544, 8416, 21826, 15863, 630, 301, 5271, 3385, 27114, 1070, 729, 9250, 593, 4989, 476, 272, 560, 543, 814, 6039, 7366, 540, 20650, 1282, 519, 6855, 563, 17484, 532, 22694, 894, 25373, 6674, 538, 519, 14130, 454, 26542, 268, 866, 1644, 15424, 18747, 24098, 7156, 538, 519, 14130, 269, 1306, 519, 30814, 9550, 4485, 267, 17037, 1590, 3747, 602, 519, 14130, 1439, 15424, 7470, 6674, 267, 3850, 16190, 536, 760, 691, 16388, 2962, 547, 1780, 15424, 11556, 602, 786, 948, 20650, 4299, 676, 519, 5046, 268, 866, 3644, 269, 1284, 666, 1406, 1694, 1394, 543, 7227, 563, 2414, 6718, 513, 5299, 540, 7730, 4932, 779, 968, 12892, 1772, 15684, 543, 31701, 17165, 538, 24771, 20661, 281, 19662, 585, 519, 2657, 5516, 3590, 2223, 979, 547, 454, 295, 8538, 1284, 1170, 267, 700, 6020, 685, 1321, 267, 568, 513, 623, 1177, 339, 3089, 564, 5856, 8720, 10172, 267, 1072, 1416, 543, 2564, 2152, 269, 1677, 6718, 14171, 932, 1618, 281, 11814, 539, 12267, 593, 28544, 645, 1245, 569, 267, 513, 4015, 540, 476, 8064, 540, 1010, 12353, 6085, 2456, 267, 979, 547, 10786, 933, 1170, 2593, 269, 0, 1260, 1706, 532, 2110, 2984, 968, 8867, 742, 532, 6202, 16504, 892, 543, 968, 763, 674, 6478, 892, 676, 667, 30864, 827, 519, 19366, 1995, 538, 3043, 13314, 454, 25321, 12710, 4785, 12778, 1107, 5111, 3368, 513, 2985, 267, 476, 1321, 1448, 13944, 267, 5595, 22274, 454, 763, 968, 684, 1392, 531, 2495, 892, 3693, 540, 519, 1957, 568, 2565, 547, 9591, 519, 3483, 540, 707, 4062, 269, 9282, 519, 2497, 540, 513, 3932, 9775, 4470, 593, 519, 5856, 267, 519, 700, 4338, 3932, 1058, 2874, 540, 1079, 9433, 602, 912, 23737, 1946, 621, 568, 1271, 543, 4143, 547, 1353, 519, 4276, 1063, 606, 2278, 779, 1272, 543, 5924, 2528, 543, 1010, 17017, 960, 269, 1215, 798, 891, 3877, 948, 3337, 519, 2278, 779, 5497, 5048, 888, 23737, 1946, 18371, 3332, 568, 1271, 547, 1353, 538, 2221, 779, 13460, 269, 4208, 568, 713, 2186, 540, 1353, 4143, 538, 519, 1158, 2221, 286, 1548, 666, 581, 4121, 689, 18371, 3332, 602, 5310, 3112, 581, 9619, 998, 519, 1353, 540, 824, 5931, 888, 2690, 513, 2688, 1957, 593, 519, 1657, 1888, 610, 1022, 824, 1888, 267, 1747, 707, 1931, 1631, 2336, 1432, 589, 11445, 1080, 596, 912, 1892, 2201, 6066, 6765, 10018, 454, 1892, 27587, 543, 12854, 7400, 5830 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8137, 269, 898, 568, 513, 1390, 2707, 540, 6171, 595, 267, 11379, 267, 543, 6775, 269, 2098, 1075, 577, 7236, 666, 581, 1989, 2683, 267, 28777, 267, 1094, 583, 2946, 539, 267, 610, 1031, 6151, 538, 25235, 269, 2290, 2635, 11600, 602, 16621, 1990, 1075, 577, 7236, 568, 1990, 1075, 577, 7236, 30653, 609, 25636, 11641, 334, 269, 901, 11600, 3322, 1210, 513, 18700, 6500, 547, 2490, 1990, 1075, 577, 7236, 883, 30653, 543, 1287, 19703, 873, 609, 513, 2635, 25636, 2861, 11641, 334, 14036, 563, 10890, 11588, 540, 8293, 1662, 454, 306, 638, 1662, 568, 513, 11684, 543, 8770, 1673, 1619, 10448, 602, 2501, 538, 1585, 5546, 543, 7306, 267, 1519, 1990, 1075, 577, 7236, 267, 1035, 1941, 267, 855, 1181, 583, 267, 543, 838, 698, 515, 26152, 23601, 269, 30459, 23601, 883, 513, 2732, 666, 2709, 3875, 1072, 2640, 607, 621, 568, 1970, 538, 8477, 543, 1164, 538, 6775, 267, 8324, 267, 543, 6886, 602, 3895, 1434, 1072, 269, 3371, 616, 930, 540, 519, 4128, 1946, 596, 1058, 1039, 23601, 547, 707, 2732, 912, 23220, 4925, 13379, 13809, 454, 3080, 540, 519, 1713, 1072, 2640, 540, 10438, 23601, 568, 922, 2702, 547, 5351, 538, 2597, 2530, 269, 8293, 1662, 568, 1970, 538, 8477, 267, 609, 606, 3328, 540, 1175, 476, 2412, 8477, 829, 7484, 267, 1818, 621, 606, 4998, 1426, 585, 2597, 5349, 7129, 269, 898, 568, 849, 16041, 609, 6775, 267, 799, 8952, 596, 4743, 2407, 585, 3476, 543, 11151, 31952, 11661, 269, 3958, 267, 519, 1164, 1216, 1543, 538, 23601, 2337, 596, 1745, 19872, 543, 13854, 267, 2417, 7303, 31952, 11661, 563, 18719, 1407, 6226, 24304, 2657, 454, 306, 638, 1662, 568, 1164, 538, 6775, 267, 799, 568, 1898, 585, 4509, 1434, 9667, 1072, 269, 634, 6775, 538, 23601, 6411, 607, 513, 840, 25027, 267, 8023, 519, 1434, 4551, 538, 707, 8937, 267, 5009, 513, 2635, 8937, 18508, 267, 543, 29000, 538, 12536, 269, 898, 849, 2337, 2061, 19228, 676, 4439, 6362, 909, 22454, 543, 3001, 621, 998, 519, 9667, 8778, 269, 5047, 267, 23601, 568, 3638, 538, 1216, 267, 799, 2337, 21352, 519, 22454, 267, 1818, 621, 4443, 547, 1780, 563, 22517, 739, 338, 21210, 3590, 454, 306, 638, 1662, 568, 513, 3638, 2707, 540, 6171, 595, 267, 606, 1898, 8770, 602, 25242, 519, 4761, 1062, 269, 12192, 595, 568, 513, 14984, 15934, 602, 2337, 2149, 2281, 689, 3441, 3361, 676, 1863, 18119, 267, 5739, 6675, 602, 666, 1291, 547, 5312, 3676, 269, 898, 849, 2337, 519, 1560, 3132, 3043, 1973, 2281, 267, 799, 616, 2565, 538, 8165, 5563, 543, 3676, 269, 5047, 267, 23601, 3568, 824, 5567, 899, 6171, 589, 543, 13058, 267, 799, 616, 849, 1898, 585, 513, 2635, 4761, 1062, 563, 299, 10183, 11485, 540, 18127, 15302, 454, 763, 5567, 538, 23601, 267, 971, 607, 11379, 267, 13101, 267, 543, 14434, 267, 723, 1044, 5532, 547, 513, 4389, 1981, 540, 5312, 3676, 269, 8000, 9914, 267, 585, 3236, 267, 2337, 10038, 1973, 2604, 267, 4227, 519, 1981, 540, 8482, 543, 2295, 2068, 269, 4165, 9171, 1218, 899, 12498, 21307, 582, 2940, 267, 561, 1393, 514, 267, 543, 18410, 1314, 13183, 514, 948, 2149, 1996, 31004, 23979, 267, 606, 2085, 5829, 3750, 2068, 602, 666, 2014, 21901, 269, 5047, 267, 13101, 2337, 2539, 519, 1981, 540, 1826, 476, 273, 3987, 267, 543, 930, 11871, 899, 3935, 267, 6089, 267, 543, 17150, 2860, 563, 292, 6470, 543, 13245, 8293, 1662, 31204, 454, 306, 638, 1662, 568, 513, 11684, 10448, 602, 666, 581, 1031, 538, 513, 3099, 540, 8286, 269, 898, 568, 513, 1390, 2707, 540, 8324, 543, 6886, 267, 1818, 621, 513, 2635, 1840, 547, 707, 2732, 269, 3371, 616, 930, 2653, 543, 2635, 23601, 10346, 547, 2119, 912, 305, 334, 16556, 1809, 1181, 583, 8293, 1662, 590, 19281, 454, 1607, 11600, 568, 3501, 585, 513, 669, 11035, 1554, 269, 898, 1152, 3217, 513, 1906, 5820, 547, 1118, 267, 543, 568, 14095, 609, 8137, 563, 268, 476, 272, 1804, 855, 1181, 583, 23601, 267, 22019, 539, 543, 7750, 539, 454, 268, 476, 272, 5420, 22323, 267, 22872, 454, 268, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 268, 476, 273, 26486, 14462, 3282, 454, 268, 476, 275, 11680, 9269, 26185, 454, 268, 476, 272, 270, 273, 23188, 2666, 24036, 454, 268, 476, 272, 270, 275, 23188, 2666, 2428, 332, 1122, 454, 268, 17865, 543, 14723, 547, 6492, 454, 7093, 17742, 707, 14089, 547, 476, 6110, 5232, 269, 570, 1601, 519, 7750, 539, 23601, 609, 14462, 3282, 267, 6070, 267, 543, 14723, 269, 10162, 770, 538, 519, 14089, 585, 476, 1839, 268, 1789, 3764, 267, 2394, 13035, 543, 5594, 1286, 14712, 1242, 563, 19602, 267, 1094, 583, 2946, 519, 22323, 543, 13342, 538, 513, 1804, 1494, 2394, 21352, 539, 269, 5410, 519, 28777, 23601, 267, 9269, 26185, 267, 24036, 267, 543, 2428, 332, 1122, 269, 20780, 547, 513, 14974, 267, 1287, 2569, 519, 3002, 543, 1577, 31652, 585, 476, 1015, 268, 1428, 3764, 563, 303, 675, 324, 519, 17339, 538, 513, 1025, 2658, 2394, 5347, 267, 1287, 2132, 547, 519, 1494, 269, 17797, 4005, 532, 607, 2877, 267, 543, 4196, 3905, 563, 8967, 698, 515, 26152, 8293, 1662, 22087, 21487, 454, 1607, 6335, 593, 513, 2757, 22087, 21487, 11600, 3096, 838, 698, 515, 26152, 23601, 3079, 540, 7573, 30653, 585, 513, 1970, 2275, 16808, 543, 2635, 4781, 563, 268, 476, 272, 1804, 838, 698, 515, 26152, 23601, 267, 10300, 1386, 454, 268, 476, 272, 29537, 14462, 3282, 454, 268, 476, 272, 270, 273, 11013, 11273, 20544, 630, 28436, 994, 268, 476, 273, 5798, 267, 26545, 16940, 454, 268, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 268, 476, 273, 26486, 3165, 14036, 454, 268, 476, 272, 29537, 13386, 14036, 454, 268, 476, 272, 29537, 9932, 454, 268, 476, 272, 270, 275, 23188, 2699, 14723, 1166, 1389, 454, 268, 476, 272, 270, 275, 7484, 22872, 30637, 454, 268, 476, 274, 3039, 19637, 267, 22872, 454, 7093, 17742, 707, 14089, 547, 476, 6110, 5232, 269, 9255, 519, 10300, 1386, 838, 698, 515, 26152, 23601, 2759, 20933, 1524, 593, 513, 11256, 6656, 267, 543, 887, 770, 585, 476, 1789, 268, 2412, 3764, 267, 2394, 23643, 2389, 2658, 563, 19602, 267, 3002, 519, 14462, 3282, 538, 513, 1804, 1236, 32576, 936, 5420, 3002, 269, 5410, 519, 13342, 543, 1094, 583, 2946, 585, 513, 8792, 610, 1079, 267, 2394, 29549, 269, 5410, 519, 20544, 630, 604, 1210, 264, 543, 3434, 2394, 11909, 267, 1287, 7903, 547, 835, 2427, 540, 519, 1236, 32576, 563, 11754, 519, 26545, 16940, 5798, 547, 519, 824, 2427, 540, 519, 1236, 32576, 543, 3434, 2394, 1305, 267, 1287, 14299, 883, 1507, 4773, 609, 513, 22883, 3121, 543, 3575, 609, 519, 20544, 563, 1103, 513, 1507, 12826, 267, 31953, 1927, 519, 3165, 14036, 267, 13386, 14036, 267, 9932, 267, 543, 2699, 14723, 1166, 1389, 563, 5629, 519, 23601, 568, 2944, 267, 1085, 7275, 856, 519, 17145, 609, 513, 23643, 547, 1711, 838, 698, 515, 26152, 6438, 22204, 269, 5410, 519, 23601, 547, 519, 1236, 32576, 2059, 609, 519, 14036, 267, 30637, 267, 543, 3039, 19637, 269, 13648, 585, 513, 1906, 811, 3764, 2394, 3388, 568, 12699, 998, 543, 519, 10366, 723, 5283, 4765, 1927, 563, 306, 2925, 3905, 267, 21959, 1639, 609, 3606, 30637, 543, 3039, 19637, 952, 5551, 563, 289, 8898, 2098, 1075, 577, 7236, 674, 1845, 454, 19185, 585, 513, 2635, 4244, 547, 3943, 535, 1845, 286, 8347, 891, 19323, 1990, 1075, 577, 7236, 535, 1845, 3079, 563, 268, 476, 273, 268, 274, 5420, 1990, 1075, 577, 7236, 267, 2759, 883, 26650, 11057, 16853, 454, 268, 476, 272, 270, 273, 7484, 533, 1678, 334, 3694, 322, 5300, 2125, 454, 268, 476, 272, 270, 275, 7484, 1989, 730, 623, 1301, 525, 534, 10381, 454, 268, 476, 272, 23188, 13342, 8869, 454, 268, 476, 272, 23188, 12015, 7626, 1146, 334, 454, 268, 476, 272, 270, 273, 23188, 6070, 454, 268, 476, 272, 270, 275, 23188, 3109, 14723, 454, 268, 476, 272, 4212, 267, 29041, 454, 7093, 17742, 707, 14089, 547, 476, 6110, 5232, 269, 7412, 513, 11256, 6656, 609, 533, 1105, 618, 1957, 610, 513, 30736, 1319, 563, 1103, 513, 13719, 12826, 267, 31953, 1927, 519, 533, 1678, 334, 3694, 322, 5300, 2125, 267, 623, 1301, 525, 534, 10381, 267, 13342, 8869, 267, 7626, 1146, 334, 267, 6070, 267, 543, 14723, 563, 1103, 1776, 12826, 267, 10726, 519, 4212, 563, 291, 760, 1142, 1990, 1075, 577, 7236, 6529, 883, 519, 4212, 267, 1287, 883, 519, 3694, 13062, 3518, 7848, 267, 10296, 547, 10359, 1134, 269, 9255, 593, 519, 5423, 11256, 6656, 563, 289, 820, 585, 476, 736, 268, 1839, 3764, 267, 2394, 11344, 6960, 543, 5743, 6853, 269, 31160, 3905, 563, 3719, 1181, 583, 8293, 1662, 5839, 543, 4258, 3150, 454, 1607, 4528, 540, 5672, 543, 10381, 568, 1312, 4313, 532, 543, 2635, 267, 7064, 547, 519, 1840, 540, 855, 1181, 583, 23601, 563, 268, 476, 272, 11013, 2898, 10568, 5672, 16336, 328, 454, 268, 476, 272, 1507, 855, 1181, 583, 23601, 267, 22019, 539, 543, 7750, 539, 454, 268, 476, 272, 23188, 14462, 3282, 454, 268, 476, 272, 1507, 22323, 267, 22872, 454, 268, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 268, 476, 272, 270, 273, 7484, 9269, 610, 10448, 26185, 454, 268, 476, 272, 270, 275, 23188, 2666, 2428, 332, 1122, 454, 268, 476, 272, 270, 273, 7484, 5144, 630, 1415, 1826, 267, 10683, 610, 1875, 1673, 8543, 994, 268, 476, 272, 270, 273, 7484, 1989, 730, 595, 1117, 323, 541, 10381, 454, 268, 17865, 543, 14723, 547, 6492, 454, 290, 809, 519, 5672, 16336, 328, 538, 513, 1804, 1494, 540, 2892, 1540, 1216, 2687, 547, 10189, 5528, 563, 19602, 267, 840, 17742, 707, 14089, 547, 476, 23841, 5232, 563, 307, 1601, 519, 7750, 539, 855, 1181, 583, 23601, 609, 519, 14462, 3282, 267, 6070, 267, 543, 14723, 269, 10162, 770, 538, 519, 14089, 585, 476, 1839, 268, 1789, 3764, 267, 2394, 13035, 543, 5594, 1286, 14712, 1242, 563, 4407, 519, 23601, 568, 887, 8463, 267, 1094, 583, 2946, 519, 22323, 543, 13342, 538, 513, 1507, 1494, 2394, 21352, 539, 269, 5410, 519, 9269, 610, 10448, 26185, 543, 2428, 332, 1122, 269, 20780, 547, 513, 14974, 267, 1287, 2569, 519, 3002, 543, 1577, 31652, 585, 476, 276, 268, 1015, 3764, 563, 9558, 2536, 519, 23601, 543, 26185, 7848, 547, 513, 1025, 2658, 543, 6986, 324, 2394, 5347, 563, 5629, 519, 5672, 16336, 328, 568, 2944, 267, 8963, 621, 543, 2132, 621, 547, 519, 1494, 269, 5410, 519, 23601, 6986, 324, 267, 5144, 267, 543, 1989, 730, 595, 1117, 323, 541, 10381, 269, 853, 597, 2394, 3388, 568, 24268, 543, 5916, 269, 17797, 4005, 532, 607, 2877, 563, 9558, 2536, 519, 5672, 543, 10381, 547, 513, 11256, 8670, 543, 27106, 585, 476, 1015, 268, 1428, 3764, 267, 2394, 11164, 29087, 543, 11344, 6960, 593, 1283, 563, 1692, 547, 15240, 3482, 8293, 1662, 538, 31204, 454, 306, 638, 1662, 568, 513, 11684, 12146, 602, 666, 581, 1031, 547, 5372, 1447, 2635, 8925, 538, 1082, 8286, 269, 3371, 616, 930, 2081, 547, 12990, 23601, 538, 707, 5172, 10346, 563, 21156, 540, 1210, 2757, 15255, 1725, 320, 30653, 267, 2119, 1210, 6094, 569, 30000, 23601, 3079, 269, 15439, 20105, 519, 23601, 3259, 3772, 543, 946, 621, 538, 1747, 540, 519, 30653, 269, 1411, 666, 849, 946, 513, 10448, 22019, 518, 610, 8260, 22223, 547, 1711, 1256, 25182, 21100, 563, 273, 269, 25300, 645, 992, 985, 454, 3725, 2897, 519, 16087, 13463, 8283, 12277, 538, 707, 19474, 536, 992, 985, 609, 27054, 4765, 23601, 269, 15439, 16416, 519, 23601, 543, 3434, 621, 909, 538, 513, 3443, 609, 930, 3282, 610, 7423, 269, 634, 1439, 1267, 568, 1175, 607, 5743, 6853, 543, 8949, 607, 2757, 19474, 536, 992, 985, 267, 855, 609, 7864, 8477, 543, 19719, 563, 274, 269, 12815, 320, 28397, 576, 454, 306, 638, 1662, 666, 581, 1031, 547, 1711, 513, 8949, 267, 27598, 18437, 14036, 1510, 519, 991, 585, 5230, 8645, 269, 15439, 887, 770, 930, 23601, 267, 6986, 324, 621, 538, 513, 1426, 16267, 610, 1025, 2658, 267, 543, 1039, 621, 547, 707, 5172, 18437, 8670, 269, 1411, 666, 849, 1039, 930, 13342, 543, 11922, 585, 3063, 8137, 563, 275, 269, 2701, 23311, 779, 26629, 454, 2791, 666, 946, 11792, 1117, 23601, 3079, 540, 11792, 1117, 12277, 538, 713, 5929, 4313, 1426, 269, 15439, 887, 770, 930, 23601, 267, 544, 1662 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7675, 2790, 1072, 2152, 538, 519, 9036, 814, 1318, 569, 1044, 519, 12880, 1445, 540, 1382, 269, 3958, 267, 519, 1764, 540, 11009, 538, 519, 9036, 593, 2773, 543, 5698, 1131, 581, 606, 4277, 1858, 540, 7634, 267, 607, 1134, 607, 10223, 1761, 2942, 2360, 540, 9036, 11009, 269, 5047, 267, 1906, 2090, 723, 6743, 693, 5718, 543, 519, 1764, 540, 11009, 7459, 593, 3401, 269, 7053, 267, 513, 811, 9836, 6476, 1063, 1114, 2010, 540, 7459, 630, 324, 3052, 269, 2110, 3856, 5288, 1279, 3856, 267, 813, 2861, 5288, 1895, 2861, 264, 568, 2877, 563, 2414, 3035, 713, 267, 519, 24238, 2353, 6261, 691, 344, 12057, 776, 6828, 6069, 1896, 7840, 538, 519, 9650, 995, 13780, 7797, 269, 1280, 1383, 267, 789, 6700, 519, 1646, 540, 1808, 11009, 7459, 585, 28737, 971, 607, 519, 1857, 5823, 269, 1358, 849, 9415, 3084, 1382, 5238, 547, 1489, 9836, 1382, 883, 519, 23250, 543, 1764, 540, 11009, 2866, 538, 3318, 5468, 563, 1432, 616, 519, 2152, 1472, 5356, 11009, 538, 28737, 888, 23777, 673, 547, 1382, 538, 9297, 267, 8942, 547, 5173, 519, 2132, 540, 5092, 723, 1044, 1500, 269, 1280, 1383, 267, 538, 513, 2487, 6417, 4693, 267, 3173, 4767, 513, 476, 736, 260, 2333, 538, 7607, 538, 5520, 4351, 2213, 547, 513, 2110, 2228, 11009, 2866, 630, 288, 1731, 839, 1696, 620, 1421, 476, 1001, 275, 1040, 1358, 1256, 6059, 16108, 9806, 829, 1032, 1813, 547, 4389, 25794, 540, 827, 1269, 2420, 267, 1822, 829, 9441, 1759, 593, 606, 3328, 13230, 540, 1269, 1911, 267, 1822, 563, 4407, 713, 568, 6157, 4277, 267, 621, 849, 19141, 513, 1761, 3390, 609, 5356, 11009, 538, 28737, 269, 968, 290, 2734, 725, 4043, 547, 1413, 585, 2656, 4368, 525, 269, 898, 568, 1271, 602, 649, 5968, 602, 11009, 568, 711, 513, 9059, 10788, 855, 602, 621, 3340, 942, 543, 9639, 547, 11349, 1848, 7150, 9036, 11009, 26519, 18281, 23111, 323, 329, 21355, 693, 513, 4487, 5035, 693, 519, 10228, 24238, 10418, 269, 2201, 513, 2147, 4063, 267, 14540, 1522, 2490, 547, 1942, 15807, 11009, 6304, 3079, 540, 10115, 538, 8902, 2324, 2175, 269, 4024, 5096, 625, 267, 2278, 540, 519, 19732, 1465, 12752, 281, 968, 305, 1430, 982, 9427, 519, 2707, 540, 2566, 267, 2436, 602, 779, 4652, 29342, 1043, 24913, 338, 267, 4057, 2359, 610, 1970, 27907, 267, 930, 12820, 5000, 741, 5234, 547, 1199, 10028, 281, 513, 2656, 4368, 602, 779, 1454, 14949, 267, 693, 2547, 538, 519, 2110, 2165, 3034, 4913, 267, 11009, 7459, 538, 14524, 531, 14540, 1522, 2014, 6397, 2360, 269, 24238, 949, 20006, 3152, 4656, 543, 4514, 1620, 540, 9036, 2175, 269, 901, 949, 2965, 1291, 547, 4600, 1373, 811, 3222, 540, 14432, 2324, 2175, 269, 769, 513, 12681, 1353, 267, 1289, 8998, 8069, 538, 5125, 4080, 4742, 811, 3222, 540, 968, 2889, 12378, 1738, 3871, 538, 519, 9036, 20009, 547, 2566, 892, 630, 310, 26803, 1696, 620, 1421, 476, 1220, 278, 267, 533, 269, 476, 3192, 264, 543, 607, 513, 12343, 2968, 811, 7722, 538, 4657, 2324, 2175, 610, 2808, 6028, 269, 769, 713, 1259, 267, 11009, 568, 513, 32563, 585, 1818, 811, 27357, 543, 5483, 5079, 563, 19741, 7607, 1107, 4742, 1480, 454, 2467, 814, 1044, 513, 11786, 4901, 827, 7607, 543, 11009, 281, 6496, 621, 1291, 547, 3478, 811, 2944, 610, 798, 1004, 1256, 4043, 547, 960, 1447, 286, 898, 568, 711, 9670, 602, 11009, 543, 9066, 941, 1101, 17947, 676, 519, 1007, 4346, 607, 513, 1907, 585, 1582, 21553, 2889, 22777, 799, 814, 1287, 538, 2490, 11827, 1797, 585, 9477, 543, 4687, 1346, 9283, 269, 1717, 267, 676, 711, 6005, 21500, 538, 2123, 1272, 543, 676, 3384, 3152, 1582, 16327, 6842, 267, 513, 1268, 1522, 1294, 811, 5693, 875, 1439, 8393, 11319, 547, 1582, 21553, 2889, 557, 949, 581, 851, 540, 519, 1966, 269, 968, 296, 729, 865, 1031, 547, 1373, 5143, 267, 1934, 616, 2947, 1919, 596, 991, 547, 2087, 269, 594, 14059, 9066, 538, 519, 1482, 1259, 855, 1287, 1483, 2213, 267, 621, 779, 827, 803, 607, 513, 1480, 1373, 1848, 513, 2754, 9614, 5143, 18281, 23111, 323, 329, 21355, 563, 1103, 9759, 267, 11009, 568, 811, 982, 513, 6071, 7607, 1907, 267, 621, 568, 513, 1114, 2298, 540, 11341, 547, 519, 1158, 269, 2755, 621, 949, 1134, 3986, 2773, 543, 2087, 6043, 267, 621, 568, 8449, 2693, 547, 4463, 523, 5520, 685, 4656, 540, 25314, 534, 1771, 543, 3983, 2324, 2175, 269, 2755, 621, 949, 2333, 606, 13539, 779, 1480, 3854, 267, 11009, 949, 849, 2232, 968, 1492, 1034, 10296, 2042, 540, 2486, 693, 741, 1360, 3597, 1107, 693, 519, 1377, 540, 519, 1480, 2247, 543, 2295, 1848, 630, 297, 517, 28763, 520, 2098, 4883, 20926, 538, 30684, 22333, 267, 533, 269, 476, 1015, 994, 288, 1731, 839, 267, 918, 269, 589, 1421, 8330, 514, 267, 808, 1421, 19994, 2280, 1512, 267, 918, 269, 681, 1421, 2274, 7079, 990, 747, 267, 918, 1421, 13391, 848, 267, 595, 269, 631, 1421, 5244, 267, 962, 269, 962, 1421, 1299, 26636, 333, 541, 267, 595, 269, 631, 269, 630, 1001, 275, 1040, 24238, 4422, 547, 960, 281, 8177, 540, 606, 2228, 9036, 6304, 269, 4750, 540, 27706, 543, 7025, 6925, 267, 476, 6321, 263, 278, 1070, 476, 278, 2641, 1700, 278, 4029, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 11820, 278, 32434, 6865, 269, 1822, 1822, 1822, 1822, 22903, 280, 454, 29662, 20269, 267, 808, 269, 661, 1421, 5680, 828, 267, 700, 1421, 30486, 267, 808, 1421, 26396, 9807, 267, 674, 1421, 24023, 267, 589, 269, 700, 1421, 26960, 267, 808, 1421, 1299, 28927, 3298, 267, 717, 269, 630, 1001, 275, 1040, 24238, 2861, 9751, 31698, 8871, 1047, 538, 2667, 12371, 16065, 547, 21079, 4256, 2422, 540, 10163, 2774, 633, 3955, 6761, 538, 1763, 7808, 7896, 269, 24238, 267, 476, 276, 263, 276, 1070, 476, 6795, 279, 1700, 2568, 274, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 14695, 10170, 268, 26522, 268, 27157, 277, 268, 273, 454, 31549, 523, 330, 2086, 267, 654, 1421, 1299, 645, 1513, 531, 537, 267, 700, 269, 654, 269, 630, 1001, 273, 1040, 12186, 540, 9066, 1995, 593, 6198, 14479, 540, 7856, 2634, 5121, 269, 13571, 4536, 538, 5274, 29249, 267, 476, 277, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 333, 21065, 269, 1001, 273, 269, 1822, 4343, 454, 298, 650, 902, 10290, 267, 631, 269, 589, 1421, 1299, 31408, 267, 667, 269, 570, 269, 630, 1001, 271, 1040, 589, 29595, 2247, 568, 606, 29043, 2247, 269, 3163, 267, 476, 20065, 263, 7785, 277, 1070, 476, 280, 3953, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 12208, 277, 4882, 7220, 269, 15686, 25838, 280, 454, 299, 5557, 267, 570, 1421, 2405, 2088, 1325, 8364, 1794, 267, 808, 269, 595, 1421, 594, 341, 16379, 534, 267, 594, 1421, 661, 10098, 320, 14114, 4592, 320, 267, 674, 1421, 1299, 681, 6269, 516, 19816, 267, 590, 269, 630, 1001, 277, 1040, 24238, 538, 519, 9036, 281, 589, 9836, 2689, 540, 519, 12170, 3332, 269, 2494, 11245, 4427, 4784, 585, 22910, 563, 21790, 6888, 2353, 6261, 691, 344, 12057, 776, 6828, 630, 31778, 22333, 264, 630, 1001, 276, 1040, 9650, 995, 13780, 5177, 269, 5507, 281, 634, 24238, 19541, 269, 5291, 2517, 29442, 785, 6888, 8181, 14306, 3820, 16896, 9706, 3016, 725, 2000, 3855, 8276, 785, 995, 5991, 566, 268, 4157, 3146, 1636, 454, 300, 23432, 2131, 267, 631, 269, 667, 1421, 15284, 267, 631, 269, 590, 1421, 29928, 267, 667, 269, 570, 1421, 645, 1515, 323, 267, 645, 1421, 1299, 3427, 518, 267, 808, 269, 654, 269, 630, 1001, 274, 1040, 24238, 2866, 10607, 2324, 3965, 4390, 543, 24321, 2773, 1247, 4227, 2247, 29595, 269, 16723, 3163, 267, 476, 2190, 263, 276, 1070, 476, 6507, 277, 1700, 4281, 272, 563, 15187, 614, 560, 668, 267, 645, 1421, 674, 4471, 10964, 267, 700, 1421, 1299, 28247, 9298, 731, 267, 962, 269, 630, 1001, 274, 1040, 12186, 540, 513, 23499, 2566, 2126, 10872, 593, 3461, 2132, 547, 960, 2557, 543, 10835, 5786, 281, 11778, 689, 513, 4351, 2213, 267, 7227, 2000, 626, 6417, 4693, 269, 31499, 543, 5369, 657, 558, 18267, 267, 476, 11025, 263, 274, 1070, 476, 10082, 1700, 5908, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 12893, 280, 270, 1822, 31798, 3607, 280, 454, 305, 3996, 518, 267, 681, 269, 654, 1421, 5576, 517, 1068, 268, 3725, 747, 331, 267, 918, 269, 589, 1421, 808, 3873, 267, 589, 1421, 595, 1638, 523, 267, 631, 1421, 28615, 267, 700, 1421, 12070, 839, 5652, 267, 681, 1421, 2560, 26858, 267, 808, 269, 630, 1001, 274, 1040, 24238, 2866, 543, 20214, 538, 4116, 2566, 543, 25794, 281, 11778, 689, 1079, 19747, 267, 7227, 4289, 20820, 2361, 8062, 269, 4750, 540, 12409, 10017, 267, 476, 10755, 263, 274, 1070, 476, 4281, 278, 1700, 3199, 275, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 9818, 278, 21669, 19740, 20385, 274, 454, 14503, 809, 267, 700, 1421, 7108, 6199, 267, 590, 269, 645, 1421, 623, 5424, 267, 700, 1421, 12844, 639, 267, 918, 1421, 1299, 5096, 1749, 517, 267, 681, 269, 808, 269, 630, 1001, 274, 1040, 24238, 585, 11334, 281, 589, 15815, 582, 5530, 547, 8178, 12186, 593, 13262, 267, 22210, 719, 267, 543, 9752, 661, 24351, 269, 9650, 267, 11020, 267, 543, 4065, 267, 476, 278, 263, 274, 1070, 476, 9264, 1700, 4198, 563, 4537, 13908, 267, 661, 1421, 11709, 23583, 267, 654, 1421, 14480, 333, 267, 570, 269, 808, 1421, 19453, 267, 715, 269, 715, 1421, 1299, 26186, 603, 338, 267, 631, 269, 667, 269, 630, 1001, 275, 1040, 25990, 4656, 2866, 630, 21316, 264, 585, 960, 5829, 8171, 543, 2816, 2773, 281, 589, 4351, 2213, 6417, 4693, 269, 4139, 4750, 540, 10076, 2657, 543, 24251, 267, 476, 1321, 263, 277, 1070, 476, 3199, 277, 1700, 279, 2537, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 14625, 7597, 268, 26522, 268, 4817, 272, 274, 268, 273, 454, 310, 26803, 267, 670, 1421, 20918, 267, 661, 1421, 2098, 1512, 267, 595, 1421, 10791, 345, 8862, 553, 577, 330, 22603, 267, 645, 1421, 918, 619, 580, 267, 590, 1421, 1299, 5576, 6686, 335, 22138, 267, 670, 269, 630, 1220, 278, 1040, 24238, 2861, 2566, 5786, 607, 513, 1505, 585, 10986, 1646, 281, 589, 12681, 6268, 269, 4139, 4750, 540, 13262, 5004, 267, 476, 1691, 263, 273, 1070, 476, 6642, 1700, 2735, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 9818, 278, 270, 13040, 273, 268, 276, 2190, 276, 269, 1691, 269, 273, 269, 6642, 454, 313, 324, 573, 534, 267, 674, 1421, 9652, 267, 590, 269, 918, 1421, 27339, 267, 645, 269, 808, 1421, 6424, 267, 2098, 1421, 1299, 717, 944, 330, 22057, 267, 623, 269, 630, 1001, 271, 1040, 24238, 9066, 10607, 17133, 281, 15845, 540, 5618, 2790, 2866, 269, 3117, 4109, 1145, 543, 595, 10744, 267, 476, 866, 263, 273, 1070, 476, 6795, 278, 1700, 2568, 276, 269, 5291, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 26769, 322, 690, 269, 1001, 271, 269, 6734, 269, 26522, 454, 763, 10228, 24238, 10418, 630, 6865, 290, 264, 568, 606, 18368, 18931, 8998, 540, 17284, 693, 519, 2160, 540, 10228, 267, 543, 814, 1044, 693, 519, 21282, 540, 1382, 543, 1646, 538, 519, 2361, 540, 11009, 269, 634, 744, 10157, 1568, 547, 4434, 519, 1620, 540, 2963, 2861, 11009, 998, 1382, 267, 8313, 267, 2866, 543, 23425, 269, 3776, 1158, 3056, 1382, 27180, 519, 6127, 267, 12117, 267, 7145, 267, 1942, 7145, 543, 6388, 540, 11009, 269, 1284, 2709, 513, 2647, 2039, 540, 2866, 267, 2069, 267, 543, 4791, 2533, 267, 782, 6026, 676, 3056, 4966, 543, 3610, 538, 519, 2361, 267, 945, 616, 2866, 519, 1985, 5108, 540, 631, 6195, 307, 3173, 267, 3610, 543, 30157, 269, 1284, 8362, 4497, 538, 10319, 11450, 547, 3337, 519, 2361, 543, 3310, 3609, 25422, 543, 18368, 269, 3414, 519, 26988, 960, 540, 519, 744, 10157, 267, 649, 616, 5355, 519, 10333, 540, 631, 6195, 307, 585, 1346, 1034, 538, 991, 269, 0, 13981, 20505, 1892, 1548, 616, 17978, 543, 1946, 835, 2115, 873, 585, 1870, 3156, 286, 1892, 1548, 568, 519, 1114, 2186, 540, 1239, 10618, 9055, 602, 6818, 543, 616, 972, 1022, 3989, 4441, 585, 891, 9055, 286, 1892, 1215, 1082, 2010, 540, 5121, 2291, 543, 1018, 616, 519, 1114, 1283, 3098, 602, 891, 5121, 949, 1246, 286, 1892, 1548, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8005, 729, 12138, 634, 4279, 454, 20694, 6387, 519, 4279, 729, 513, 4622, 540, 519, 3504, 5259, 10806, 540, 24765, 517, 945, 5030, 689, 476, 32579, 14514, 547, 476, 26825, 14514, 269, 1261, 729, 513, 4108, 19524, 543, 20630, 528, 945, 568, 2808, 835, 540, 519, 6574, 4108, 3401, 538, 1686, 563, 20694, 6387, 729, 519, 5067, 540, 3751, 17722, 4083, 540, 24765, 517, 543, 4607, 1010, 2069, 896, 17127, 269, 769, 476, 28656, 14514, 267, 12138, 10841, 2105, 547, 519, 17599, 693, 519, 2085, 540, 476, 736, 1310, 1010, 4651, 779, 26923, 269, 1261, 1287, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 26090, 22955, 257, 607, 851, 540, 834, 16300, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 8466, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 3045, 1023, 540, 16669, 1686, 267, 519, 1523, 540, 17040, 814, 5129, 513, 11358, 1909, 538, 5935, 6639, 7760, 267, 5807, 5647, 267, 543, 3246, 513, 3760, 585, 18979, 6735, 269, 901, 1576, 1770, 786, 5490, 883, 519, 3638, 6561, 540, 10081, 17040, 267, 17364, 689, 922, 8129, 538, 519, 3735, 476, 866, 628, 2540, 547, 519, 1459, 1554, 269, 1284, 786, 2263, 875, 713, 1164, 268, 24934, 2033, 1158, 814, 7960, 936, 942, 1247, 4509, 2620, 4296, 547, 17535, 5389, 267, 3226, 1346, 4535, 856, 540, 519, 1977, 21829, 2782, 5736, 780, 2414, 2253, 938, 3460, 267, 1577, 721, 30603, 519, 8574, 3177, 693, 519, 856, 3553, 267, 799, 8711, 519, 4644, 540, 17189, 23258, 1282, 519, 1977, 7169, 269, 13018, 267, 621, 19156, 519, 2565, 1909, 602, 21471, 8043, 5129, 538, 28798, 13837, 2130, 1983, 543, 1128, 3739, 513, 16994, 2631, 540, 4044, 1049, 1035, 18210, 1851, 7810, 4892, 269, 1452, 7907, 1131, 2663, 6961, 17170, 950, 15268, 873, 547, 562, 27658, 18697, 971, 607, 6928, 20761, 543, 10935, 1374, 1107, 2609, 602, 1131, 5555, 1265, 741, 1259, 5196, 2244, 543, 1217, 519, 24567, 2361, 540, 5179, 8364, 1646, 780, 2026, 649, 5912, 689, 1216, 547, 14743, 267, 621, 3587, 7805, 602, 1082, 2038, 23806, 540, 16669, 4702, 3771, 321, 1819, 2178, 13218, 547, 7286, 2029, 269, 2290, 8037, 1383, 2501, 689, 12138, 654, 15586, 267, 513, 13677, 19366, 945, 8452, 538, 3013, 538, 476, 6942, 280, 543, 2968, 26970, 676, 1312, 21525, 582, 1161, 543, 2848, 4461, 1222, 9817, 269, 3571, 22906, 3366, 1864, 547, 3715, 519, 654, 15586, 16359, 2961, 5846, 7577, 538, 25350, 267, 11882, 267, 1141, 646, 3812, 930, 540, 519, 1101, 20749, 3811, 17405, 14617, 6472, 269, 5047, 267, 654, 15586, 781, 4282, 538, 6928, 20761, 3648, 6766, 1010, 1935, 547, 1286, 5663, 282, 646, 6964, 2147, 4070, 2553, 1031, 538, 6928, 29288, 267, 1519, 11308, 14604, 543, 4496, 726, 908, 267, 547, 1711, 14463, 543, 6325, 26873, 780, 310, 15586, 781, 1764, 11498, 3564, 6071, 12191, 267, 2705, 269, 769, 476, 6245, 276, 267, 646, 9411, 1010, 1378, 6174, 538, 513, 1279, 26591, 5198, 689, 9628, 547, 6660, 342, 879, 27365, 1107, 4922, 9833, 607, 519, 1101, 1713, 18914, 6735, 4371, 538, 519, 2136, 2276, 269, 4014, 646, 1705, 711, 3094, 519, 2680, 267, 654, 15586, 781, 7589, 5280, 2442, 1125, 10081, 17040, 543, 6273, 1866, 547, 1246, 9290, 269, 17652, 27502, 267, 3875, 6237, 14797, 7153, 2066, 519, 2197, 267, 19788, 23153, 10256, 11235, 547, 1449, 741, 1558, 1479, 543, 13686, 741, 7344, 23258, 780, 3528, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 6101, 1242, 17040, 682, 8046, 3459, 2921, 3337, 267, 1034, 16113, 519, 2817, 5948, 540, 16790, 681, 5217, 630, 2793, 2752, 264, 8547, 538, 476, 5002, 273, 269, 1306, 1719, 538, 16546, 7964, 8057, 267, 865, 1932, 1705, 7569, 585, 5488, 267, 811, 3608, 6191, 5827, 540, 9518, 1359, 2479, 3766, 805, 518, 9883, 543, 9465, 269, 898, 729, 1369, 713, 2796, 602, 8030, 6743, 1394, 2509, 741, 17535, 5072, 585, 6667, 267, 6220, 4359, 7098, 17871, 3741, 6508, 689, 17189, 6189, 883, 1286, 6272, 269, 20837, 20040, 4703, 24188, 540, 31933, 5836, 13274, 619, 4166, 1178, 1027, 8322, 564, 13715, 5001, 267, 18220, 532, 519, 1623, 25027, 2078, 1063, 6283, 12331, 543, 20515, 875, 4245, 4121, 593, 519, 1164, 15798, 1223, 581, 4294, 547, 31619, 535, 597, 2742, 780, 1607, 7678, 4797, 1134, 883, 519, 954, 8705, 1974, 267, 28285, 538, 11599, 6472, 899, 519, 8585, 1027, 525, 5174, 20044, 18234, 1488, 4900, 3126, 269, 1452, 15999, 6191, 13856, 3486, 9835, 623, 3700, 11387, 2429, 519, 476, 4350, 271, 338, 267, 7064, 538, 1804, 851, 547, 5969, 12967, 10124, 22666, 689, 562, 27658, 1382, 269, 7324, 891, 8441, 941, 29765, 669, 817, 529, 267, 1970, 1606, 331, 2426, 12632, 267, 543, 17426, 2326, 782, 6322, 693, 4227, 2011, 4187, 543, 21924, 3432, 269, 6270, 9283, 8272, 549, 1042, 7835, 9648, 21276, 569, 538, 17189, 6077, 4070, 267, 2417, 4396, 4328, 519, 6125, 1063, 16669, 543, 17535, 6080, 780, 24137, 4464, 547, 2221, 267, 543, 649, 666, 1869, 7747, 30172, 540, 713, 588, 528, 1221, 2250, 1369, 2413, 16546, 1636, 2528, 269, 6875, 267, 585, 3236, 267, 519, 4417, 540, 3167, 6174, 630, 14110, 264, 17040, 267, 799, 814, 6591, 9645, 20086, 936, 519, 2250, 8717, 1813, 7361, 547, 2825, 4145, 543, 8441, 538, 6007, 2029, 269, 21452, 2614, 267, 1082, 540, 519, 1482, 2591, 5185, 676, 2038, 1977, 4838, 2456, 1107, 12077, 267, 3908, 2039, 543, 13385, 12123, 5989, 1107, 849, 20575, 4207, 12601, 12439, 269, 8616, 1175, 607, 938, 2062, 2041, 31600, 9862, 21471, 9635, 585, 4108, 5301, 267, 865, 1932, 723, 2413, 8030, 1336, 2081, 547, 1065, 17123, 4540, 4066, 585, 1007, 3156, 269, 1280, 1383, 267, 16754, 661, 267, 606, 782, 3887, 10431, 17040, 23594, 1222, 267, 1631, 5713, 607, 513, 4152, 2666, 585, 6932, 12601, 4066, 267, 11319, 519, 6302, 540, 1018, 568, 2009, 1247, 8195, 6117, 7082, 10073, 543, 10343, 540, 15777, 267, 22928, 6283, 8925, 780, 1103, 3932, 267, 16439, 519, 22871, 540, 16669, 17040, 8761, 513, 3638, 13795, 18955, 689, 16060, 540, 17535, 2245, 267, 5499, 3206, 267, 543, 8013, 6891, 269, 3245, 18803, 20297, 12082, 538, 7810, 13837, 2130, 6791, 547, 519, 10427, 733, 3949, 540, 2221, 267, 713, 4241, 12225, 1834, 19156, 519, 11972, 3310, 540, 17189, 6561, 2390, 938, 7104, 9345, 543, 27265, 269, 1306, 649, 3136, 10413, 1782, 2509, 606, 5051, 18546, 1881, 2104, 267, 621, 3788, 547, 581, 2938, 875, 891, 2085, 6040, 4296, 786, 8915, 2933, 538, 14182, 781, 6283, 5251, 269, 1717, 267, 952, 1686, 5713, 607, 1022, 16315, 267, 649, 666, 2503, 1390, 1919, 689, 519, 9769, 540, 1216, 543, 8868, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26212, 547, 519, 12614, 540, 519, 1977, 7169, 267, 519, 3312, 476, 1724, 10125, 1185, 1100, 1483, 17189, 3196, 824, 982, 606, 11606, 540, 21471, 8043, 602, 941, 7722, 538, 6469, 543, 4914, 4123, 269, 634, 10125, 262, 21471, 3028, 1185, 5318, 1995, 609, 519, 1930, 4262, 543, 609, 13137, 267, 799, 3769, 3703, 17189, 30295, 1996, 14295, 698, 6511, 267, 8050, 267, 543, 25429, 32108, 1282, 519, 8370, 1296, 540, 2112, 609, 5333, 630, 11260, 275, 1700, 12293, 274, 1040, 4935, 267, 519, 2956, 540, 17189, 1379, 729, 6444, 2038, 538, 519, 4655, 269, 2201, 476, 1724, 5239, 476, 10082, 276, 267, 519, 25550, 6837, 17101, 519, 5137, 540, 519, 25550, 13108, 267, 543, 3964, 519, 772, 2529, 269, 13149, 17620, 593, 476, 1015, 5437, 269, 1635, 476, 10082, 277, 267, 519, 10125, 1185, 476, 2767, 10617, 4721, 24568, 4334, 547, 519, 3532, 9576, 3703, 13108, 267, 799, 1185, 827, 476, 17734, 10617, 4721, 269, 4746, 16609, 729, 602, 1977, 4971, 619, 941, 1419, 21947, 676, 25501, 543, 3057, 1149, 945, 1185, 711, 1044, 18113, 8036, 543, 26218, 9015, 563, 8601, 519, 11566, 12918, 267, 519, 25550, 13108, 1185, 930, 2038, 18454, 269, 2201, 476, 1704, 5988, 476, 10082, 277, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 5217, 11595, 630, 6245, 271, 338, 1790, 6974, 17983, 607, 851, 540, 834, 15045, 3198, 9915, 18306, 9569, 1315, 14825, 12067, 1315, 3778, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 1428, 267, 476, 1839, 24682, 476, 3607, 267, 476, 4343, 24682, 476, 4366, 267, 476, 275, 292, 24682, 476, 7367, 267, 476, 279, 311, 267, 476, 3445, 267, 476, 11463, 267, 661, 280, 267, 476, 12893, 267, 476, 14056, 267, 476, 10219, 267, 476, 16318, 24682, 476, 14444, 267, 476, 15647, 267, 476, 14378, 24682, 476, 15876, 267, 476, 4572, 24682, 476, 21172, 267, 476, 21327, 267, 476, 26727, 267, 476, 18605, 267, 476, 2767, 311, 267, 476, 18231, 24682, 476, 2764, 292, 267, 476, 29848, 267, 476, 273, 311, 279, 267, 476, 273, 18958, 267, 476, 273, 7417, 267, 476, 24062, 267, 476, 25834, 267, 476, 27088, 267, 476, 30306, 24682, 476, 12573, 267, 476, 4391, 272, 267, 476, 32699, 24682, 476, 4343, 273, 267, 476, 4343, 274, 267, 476, 29496, 267, 476, 4375, 292, 267, 476, 29889, 24682, 476, 275, 3066, 24682, 476, 275, 3607, 267, 476, 26493, 267, 476, 3393, 279, 24682, 476, 21878, 267, 476, 275, 311, 272, 267, 476, 275, 292, 276, 267, 476, 2004, 273, 267, 476, 27843, 24682, 476, 27944, 267, 476, 4649, 311, 267, 476, 4649, 292, 267, 476, 6321, 273, 24682, 476, 6872, 277, 267, 476, 6795, 292, 24682, 476, 276, 18958, 267, 476, 276, 292, 271, 267, 476, 29637, 267, 476, 7830, 311, 267, 476, 277, 3953, 267, 476, 5038, 273, 24682, 476, 4792, 273, 267, 476, 4792, 275, 267, 476, 5780, 272, 267, 476, 5780, 273, 267, 476, 6924, 311, 267, 476, 3583, 273, 267, 476, 10602, 292, 267, 476, 8064, 273, 267, 476, 8064, 278, 267, 476, 278, 311, 272, 24682, 476, 278, 13052, 267, 476, 3199, 276, 267, 476, 279, 1556, 267, 476, 279, 2918, 267, 476, 5952, 273, 24682, 476, 279, 4792, 24682, 476, 9262, 292, 267, 476, 279, 5952, 267, 476, 6434, 311, 267, 476, 279, 4200, 24682, 476, 279, 311, 271, 267, 476, 280, 736, 267, 476, 280, 2641, 267, 476, 9834, 311, 267, 476, 7176, 278, 24682, 476, 7176, 311, 267, 476, 280, 311, 277, 267, 476, 280, 311, 280, 267, 2473, 273, 311, 24682, 2473, 2004, 267, 2473, 4281, 267, 2473, 10695, 24682, 2473, 292, 272, 267, 2473, 292, 277, 267, 661, 876, 24682, 661, 6349, 267, 661, 6860, 267, 661, 3953, 267, 661, 4097, 24682, 661, 6246, 267, 661, 6872, 267, 661, 6795, 267, 661, 11463, 267, 661, 9032, 24682, 661, 292, 280, 267, 3267, 476, 6246, 476, 2918, 267, 476, 3451, 267, 476, 3607, 267, 476, 4366, 267, 476, 8618, 267, 476, 10695, 267, 476, 9834, 267, 12327, 267, 476, 15221, 267, 476, 1428, 311, 267, 476, 866, 292, 267, 476, 272, 311, 275, 267, 476, 25248, 267, 476, 20720, 267, 476, 29344, 267, 476, 29720, 267, 476, 4968, 267, 476, 24062, 267, 476, 24374, 267, 476, 24783, 267, 476, 26552, 267, 476, 3374, 278, 267, 476, 4343, 311, 267, 476, 29024, 267, 476, 2412, 279, 267, 476, 30156, 267, 476, 275, 5038, 267, 476, 5392, 272, 267, 476, 275, 4817, 267, 476, 276, 4200, 267, 476, 276, 311, 276, 267, 476, 2568, 274, 267, 476, 6858, 277, 267, 476, 278, 2764, 267, 476, 4281, 275, 267, 476, 3199, 279, 267, 476, 279, 1015, 267, 476, 279, 311, 292, 267, 476, 3445, 277, 267, 2473, 4905, 267, 2473, 271, 311, 267, 2473, 1691, 267, 2473, 1839, 267, 661, 2641, 267, 661, 7906, 267, 661, 292, 273, 267, 661, 292, 275, 267, 3267, 476, 4510, 661, 267, 476, 1691, 267, 476, 4029, 267, 476, 276, 311, 24682, 476, 3199, 24682, 2473, 272, 267, 2473, 292, 267, 476, 15389, 24682, 476, 272, 292, 275, 267, 476, 272, 292, 276, 24682, 476, 18597, 24682, 476, 23310, 267, 476, 29616, 267, 476, 3374, 280, 267, 476, 274, 311, 273, 24682, 476, 32076, 267, 476, 275, 311, 271, 267, 476, 275, 311, 279, 267, 476, 276, 1556, 24682, 476, 276, 1724, 267, 476, 276, 4375, 267, 476, 6795, 274, 267, 476, 29637, 24682, 476, 277, 2537, 267, 476, 277, 2918, 267, 476, 6924, 278, 24682, 476, 3583, 276, 267, 476, 3583, 277, 267, 476, 278, 3374, 267, 476, 4037, 274, 24682, 476, 278, 4792, 267, 476, 6507, 275, 267, 476, 8064, 274, 267, 476, 278, 311, 272, 267, 476, 278, 7417, 267, 476, 3199, 311, 24682, 476, 279, 1626, 267, 476, 279, 311, 280, 267, 476, 279, 292, 276, 267, 476, 280, 292, 278, 24682, 2473, 6434, 267, 661, 271, 311, 24682, 661, 1556, 267, 661, 1789, 24682, 661, 6795, 267, 661, 4817, 267, 3267, 476, 3393, 476, 736, 267, 476, 4375, 267, 476, 2004, 267, 476, 15686, 267, 476, 10082, 267, 476, 272, 311, 279, 267, 476, 272, 292, 280, 267, 476, 736, 311, 267, 476, 24241, 267, 476, 29344, 267, 476, 273, 311, 279, 267, 476, 273, 292, 280, 267, 476, 6246, 292, 267, 476, 6321, 278, 267, 476, 276, 292, 277, 267, 476, 20981, 267, 476, 277, 4649, 267, 476, 32133, 267, 476, 278, 2420, 267, 476, 10619, 292, 267, 476, 4037, 279, 267, 476, 278, 311, 273, 267, 476, 5952, 292, 267, 476, 279, 6507, 267, 476, 280, 2767, 267, 2473, 2412, 267, 661, 5400, 267, 661, 271, 311, 267, 661, 8287, 267, 661, 4037, 267, 661, 4281, 267, 661, 278, 311, 267, 3267, 476, 5379, 476, 273, 24682, 476, 278, 267, 476, 280, 267, 476, 1724, 267, 476, 272, 292, 24682, 476, 736, 267, 476, 2641, 267, 476, 3607, 267, 476, 7367, 24682, 476, 7871, 267, 476, 5780, 267, 476, 6507, 267, 2473, 273, 24682, 476, 13040, 267, 476, 13647, 267, 476, 14983, 267, 476, 15150, 267, 476, 14917, 267, 476, 6642, 24682, 476, 5002, 267, 476, 272, 292, 272, 267, 476, 272, 292, 276, 24682, 476, 272, 292, 279, 24682, 476, 272, 13052, 267, 476, 10711, 267, 476, 736, 292, 24682, 476, 23470, 267, 476, 28192, 267, 476, 26727, 267, 476, 28510, 267, 476, 2764, 292, 24682, 476, 28143, 24682, 476, 25313, 267, 476, 27844, 267, 476, 3451, 311, 267, 476, 32579, 267, 476, 4391, 277, 267, 476, 23884, 267, 476, 29575, 267, 476, 274, 311, 277, 267, 476, 29024, 267, 476, 22213, 267, 476, 275, 4281, 24682, 476, 5392, 275, 267, 476, 275, 311, 276, 24682, 476, 275, 292, 273, 24682, 476, 2004, 277, 267, 476, 7906, 292, 24682, 476, 276, 2764, 24682, 476, 276, 4029, 267, 476, 276, 4391, 267, 476, 7871, 311, 267, 476, 276, 6246, 267, 476, 7918, 311, 267, 476, 4649, 278, 267, 476, 276, 5038, 267, 476, 276, 5780, 267, 476, 6872, 272, 267, 476, 276, 4281, 24682, 476, 276, 292, 275, 267, 476, 7785, 267, 476, 277, 1626, 267, 476, 27698, 24682, 476, 277, 2767, 267, 476, 6924, 274, 267, 476, 277, 4200, 267, 476, 277, 311, 274, 267, 476, 277, 311, 279, 24682, 476, 3583, 277, 267, 476, 10170, 292, 24682, 476, 278, 3953, 24682, 476, 278, 3393, 24682, 476, 278, 6924, 24682, 476, 6507, 277, 267, 476, 4281, 275, 267, 476, 278, 311, 271, 267, 476, 3199, 292, 24682, 476, 279, 1626, 267, 476, 279, 2918, 267, 476, 279, 3451, 267, 476, 279, 6078, 267, 476, 10436, 311, 267, 476, 8660, 277, 267, 476, 279, 4200, 267, 476, 11152, 292, 24682, 476, 280, 4792, 24682, 476, 9032, 274, 267, 476, 9032, 277, 267, 2473, 1240, 24682, 2473, 2537, 267, 2473, 274, 292, 24682, 2473, 6812, 24682, 2473, 278, 292, 24682, 2473, 6434, 24682, 2473, 292, 274, 267, 661, 6860, 267, 661, 1321, 24682, 661, 6321, 267, 661, 5780, 267, 661, 3583, 267, 661, 4817, 24682, 661, 292, 272, 267, 3267, 476, 5325, 476, 278, 267, 476, 1321, 24682, 476, 3451, 267, 476, 3393, 24682, 476, 7906, 267, 476, 277, 292, 267, 2473, 278, 267, 476, 10441, 24682, 476, 1015, 311, 267, 476, 15704, 267, 476, 15150, 267, 476, 10204, 267, 476, 6245, 267, 476, 272, 292, 276, 267, 476, 1220, 267, 476, 28192, 267, 476, 273, 13052, 267, 476, 24062, 267, 476, 24783, 24682, 476, 3607, 278, 24682, 476, 4391, 280, 267, 476, 4343, 276, 24682, 476, 4343, 277, 267, 476, 4375, 272, 267, 476, 275, 1626, 267, 476, 5325, 274, 24682, 476, 275, 4281, 267, 476, 5325, 311, 267, 476, 5325, 292, 267, 476, 4366, 277, 267, 476, 4366, 292, 267, 476, 2004, 279, 267, 476, 276, 1704, 267, 476, 276, 5952, 267, 476, 30020, 24682, 476, 31430, 267, 476, 2568, 274, 24682, 476, 2568, 278, 267, 476, 2568, 280, 24682, 476, 277, 2537, 267, 476, 5038, 311, 24682, 476, 7597, 311, 24682, 476, 277, 311, 279, 267, 476, 278, 1839, 24682, 476, 278, 2918, 24682, 476, 278, 6246, 24682, 476, 10602, 311, 267, 476, 279, 5379, 267, 476, 25616, 267, 476, 6434, 275, 24682, 476, 280, 1724, 267, 476, 15886, 24682, 2473, 6734, 267, 2473, 1691, 24682, 2473, 277, 311, 24682, 2473, 10037, 267, 2473, 6434, 24682, 2473, 292, 274, 267, 661, 2764, 267, 661, 5325, 267, 661, 6872, 267, 661, 3583, 267, 661, 9032, 24682, 3267, 476, 4366, 476, 273, 267, 476, 276, 267, 476, 1015, 267, 476, 1704, 267, 476, 272, 292, 267, 476, 3066, 267, 476, 273, 311, 267, 476, 3583, 267, 30619, 267, 661, 275, 267, 476, 13647, 267, 476, 1556, 292, 267, 476, 15836, 267, 476, 15389, 267, 476, 9610, 267, 476, 13970, 267, 476, 1626, 311, 267, 476, 14378, 267, 476, 4489, 267, 476, 3192, 267, 476, 2735, 267, 476, 272, 311, 276, 267, 476, 272, 18958, 267, 476, 2420, 292, 267, 476, 24487, 267, 476, 25240, 267, 476, 29344, 267, 476, 29218, 267, 476, 20542, 267, 476, 29044, 267, 476, 31003, 267, 476, 4097, 292, 267, 476, 30500, 267, 476, 4391, 275, 267, 476, 4391, 292, 267, 476, 25002, 267, 476, 2412, 278, 267, 476, 28242, 267, 476, 5325, 277, 267, 476, 21878, 267, 476, 4366, 277, 267, 476, 4366, 292, 267, 476, 5392, 275, 267, 476, 275, 311, 277, 267, 476, 7906, 311, 267, 476, 276, 2537, 267, 476, 276, 2190, 267, 476, 276, 3607, 267, 476, 4649, 311, 267, 476, 30020, 267, 476, 276, 292, 276, 267, 476, 31430, 267, 476, 2568, 276, 267, 476, 2568, 278, 267, 476, 7830, 311, 267, 476, 277, 4029, 267, 476, 5780, 311, 267, 476, 3583, 279, 267, 476, 3199, 292, 267, 476, 279, 8064, 267, 476, 279, 311, 272, 267, 476, 279, 311, 274, 267, 476, 279, 311, 279, 267, 476, 280, 4649, 267, 476, 4817, 277, 267, 476, 280, 8287, 267, 476, 9032, 277, 267, 476, 4200, 277, 267, 2473, 1428, 267, 2473, 3066, 267, 2473, 1789, 267, 2473, 2412, 267, 2473, 8287, 267, 2473, 10037, 267, 2473, 280, 292, 267, 30619, 274, 267, 30619, 278, 267, 2473, 18958, 267, 2473, 292, 273, 267, 2473, 292, 280, 267, 661, 1691, 267, 661, 2918, 267, 661, 7871, 267, 661, 8660, 267, 661, 9032, 267, 661, 292, 280, 267, 3267, 476, 5392, 476, 276, 267, 476, 3607, 267, 476, 4375, 24682, 476, 5379, 267, 476, 278, 292, 267, 2473, 276, 24682, 476, 6200, 267, 476, 9818, 267, 476, 1556, 311, 267, 476, 14991, 267, 476, 1240, 311, 267, 476, 272, 18958, 267, 476, 26237, 267, 476, 3066, 292, 267, 476, 25313, 267, 476, 4391, 277, 267, 476, 275, 4391, 24682, 476, 275, 4375, 267, 476, 14596, 267, 476, 29121, 267, 476, 5379, 272, 267, 476, 5379, 280, 24682, 476, 5392, 278, 24682, 476, 276, 1556, 24682, 476, 276, 2641, 267, 476, 276, 5325, 267, 476, 6872, 275, 267, 476, 277, 1321, 267, 476, 277, 3451, 267, 476, 277, 4366, 267, 476, 5780, 311, 267, 476, 278, 2764, 267, 476, 278, 4366, 267, 476, 278, 4037, 267, 476, 4281, 272, 267, 476, 8064, 277, 267, 476, 278, 311, 280, 267, 476, 279, 1724, 267, 476, 279, 1691, 267, 476, 279, 1789, 267, 476, 279, 3953, 267, 476, 279, 4375, 267, 476, 279, 5392, 267, 476, 10019, 311, 267, 476, 10019, 292, 267, 476, 279, 4200, 267, 476, 279, 311, 279, 24682, 476, 11011, 292, 267, 476, 280, 5780, 267, 2473, 6734, 267, 2473, 4029, 267, 2473, 6246, 267, 2473, 7830, 267, 2473, 6924, 267, 2473, 4817, 267, 30619, 276, 24682, 661, 6349, 267, 661, 5400, 267, 661, 1015, 267, 661, 4097, 267, 661, 274, 311, 267, 661, 5325, 267, 661, 2568, 267, 661, 277, 292, 267, 661, 280, 292, 267, 3267, 476, 275, 311, 476, 278, 267, 476, 1724, 267, 476, 2641, 267, 476, 7367, 267, 476, 280, 292, 267, 2473, 274, 267, 476, 1015, 311, 267, 476, 1691, 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 ]
[ 7871, 454, 567, 3267, 281, 825, 3267, 281, 10430, 267, 476, 277, 269, 5400, 267, 476, 275, 269, 7906, 454, 567, 3267, 281, 825, 3267, 281, 8832, 8581, 267, 476, 275, 269, 6349, 267, 476, 275, 269, 6321, 18257, 692, 11907, 815, 1239, 21858, 6050, 4590, 11907, 815, 1496, 328, 21858, 263, 3299, 10807, 585, 1775, 538, 1239, 6540, 26383, 5332, 1868, 815, 1239, 314, 271, 6540, 11907, 318, 4900, 815, 1239, 314, 272, 15311, 6540, 4206, 815, 19073, 6185, 1092, 20988, 16597, 318, 4900, 267, 9587, 284, 26383, 5332, 1868, 2020, 4206, 9131, 2704, 4022, 11172, 815, 17093, 9131, 2704, 4022, 262, 4940, 770, 4286, 263, 15615, 994, 4206, 9131, 307, 984, 8829, 11172, 815, 17093, 9131, 307, 984, 8829, 262, 4940, 770, 4286, 263, 15615, 2020, 4206, 6155, 525, 9216, 10797, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 17093, 9131, 2704, 4022, 262, 4940, 11743, 4590, 825, 586, 815, 17093, 9131, 307, 984, 8829, 262, 4940, 11743, 4590, 2745, 968, 763, 634, 1611, 540, 15850, 543, 30926, 616, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 2020, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 17093, 9131, 2704, 4022, 262, 4940, 4364, 1014, 4590, 825, 586, 815, 17093, 9131, 307, 984, 8829, 262, 4940, 4364, 1014, 4590, 2745, 968, 634, 11667, 568, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 2020, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 28135, 6230, 1712, 29254, 9131, 2704, 4022, 262, 7481, 825, 586, 815, 28135, 6230, 1712, 29254, 9131, 307, 984, 8829, 262, 7481, 2745, 968, 763, 7154, 540, 15850, 1299, 30926, 616, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 2020, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 3193, 29254, 9131, 2704, 4022, 262, 8079, 910, 1295, 29254, 9131, 2704, 4022, 262, 7481, 825, 586, 815, 3193, 29254, 9131, 307, 984, 8829, 262, 8079, 910, 1295, 29254, 9131, 307, 984, 8829, 262, 7481, 2745, 834, 763, 2039, 540, 1325, 16408, 543, 18578, 659, 1097, 568, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 2020, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 17093, 9131, 2704, 4022, 262, 4940, 560, 323, 4590, 825, 586, 815, 17093, 9131, 307, 984, 8829, 262, 4940, 560, 323, 4590, 2745, 834, 763, 11539, 540, 1325, 16408, 543, 18578, 659, 1097, 568, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 2020, 1721, 1775, 538, 17093, 912, 825, 1535, 815, 17093, 9131, 2704, 4022, 262, 4940, 12534, 4590, 825, 586, 815, 17093, 9131, 307, 984, 8829, 262, 4940, 12534, 4590, 2745, 834, 763, 13065, 585, 1325, 16408, 543, 18578, 659, 1097, 568, 2715, 9574, 15079, 2668, 8971, 3287, 267, 586, 994, 0, 258, 19766, 3445, 273, 272, 476, 736, 307, 274, 910, 681, 778, 573, 8621, 14508, 454, 258, 13658, 476, 274, 2878, 265, 9603, 11016, 10432, 476, 276, 7711, 476, 1015, 269, 876, 10975, 692, 258, 11298, 2608, 27237, 265, 654, 305, 25492, 22400, 715, 28719, 9215, 10790, 2562, 14011, 2562, 4888, 2177, 312, 300, 14510, 11123, 623, 6369, 22835, 2752, 26113, 667, 4953, 4488, 3582, 692, 258, 8871, 14186, 519, 3593, 585, 606, 818, 640, 630, 320, 2067, 1297, 264, 562, 543, 513, 2262, 563, 258, 11910, 3090, 513, 2262, 9967, 540, 4986, 855, 21229, 12185, 3197, 454, 258, 543, 19156, 563, 258, 4258, 4242, 602, 519, 2262, 568, 4570, 267, 538, 602, 621, 25389, 519, 1739, 454, 258, 31602, 4214, 912, 258, 910, 513, 3090, 267, 609, 5624, 4847, 693, 1312, 7475, 267, 568, 513, 4570, 2262, 3248, 258, 910, 513, 2262, 540, 519, 1106, 521, 26028, 318, 272, 267, 24222, 342, 5332, 264, 609, 521, 3954, 7627, 513, 3090, 543, 454, 258, 567, 530, 318, 272, 267, 10371, 1421, 530, 5332, 3954, 7627, 4570, 1913, 267, 609, 5624, 4847, 693, 1312, 7475, 543, 454, 258, 567, 1472, 24324, 543, 862, 553, 267, 568, 513, 4570, 2262, 563, 692, 5814, 19523, 454, 5228, 942, 1104, 3207, 692, 3698, 568, 318, 20777, 27182, 267, 818, 640, 2187, 825, 2132, 8771, 454, 825, 1948, 29187, 299, 19781, 5990, 681, 4953, 7838, 301, 29865, 30121, 9474, 10976, 292, 23166, 22400, 2910, 14701, 692, 339, 787, 912, 825, 818, 640, 815, 703, 9272, 3488, 19152, 606, 818, 640, 2433, 1412, 4917, 825, 952, 818, 640, 2999, 476, 271, 912, 1038, 6318, 28759, 454, 21955, 28759, 912, 825, 1820, 3488, 18823, 8091, 818, 640, 267, 4758, 909, 1862, 5073, 825, 19523, 20216, 527, 4590, 338, 2748, 263, 271, 269, 9826, 994, 5320, 815, 3403, 3488, 19152, 513, 2262, 281, 30386, 338, 2748, 263, 271, 269, 9826, 994, 5320, 284, 5320, 18622, 2897, 3488, 1412, 10086, 5073, 5320, 284, 4289, 27182, 994, 258, 13765, 2436, 621, 723, 10363, 3090, 454, 3698, 1152, 318, 17647, 29999, 4433, 7685, 2187, 825, 585, 521, 538, 3126, 912, 1038, 952, 521, 18994, 10401, 3890, 2525, 16178, 543, 521, 256, 6889, 2891, 543, 521, 256, 6889, 17983, 543, 521, 256, 6889, 318, 257, 543, 521, 256, 6889, 2437, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 454, 258, 13765, 519, 2027, 2013, 281, 1492, 1599, 1152, 723, 513, 6292, 540, 630, 994, 3698, 2638, 6958, 1009, 263, 560, 267, 10846, 2187, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 263, 560, 15892, 1038, 952, 588, 5157, 316, 2525, 14824, 10778, 2018, 952, 588, 5157, 266, 272, 316, 2525, 14824, 610, 588, 5157, 266, 272, 316, 2525, 257, 2891, 610, 588, 5157, 266, 272, 316, 2525, 8442, 13426, 3546, 2132, 8771, 454, 825, 952, 588, 29644, 2891, 2437, 11924, 272, 2525, 10846, 912, 1038, 1948, 2745, 2891, 286, 5602, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 1948, 2745, 19304, 263, 280, 11924, 262, 339, 684, 6773, 10807, 3097, 1038, 2132, 8771, 22562, 3698, 568, 318, 20777, 263, 560, 267, 10846, 2187, 825, 2638, 284, 271, 454, 825, 1775, 284, 271, 454, 825, 1948, 13765, 952, 621, 723, 513, 1599, 2012, 1354, 834, 2891, 610, 834, 264, 4840, 825, 952, 588, 314, 271, 316, 2525, 8442, 257, 610, 588, 314, 271, 316, 2525, 257, 2891, 912, 1038, 2132, 8771, 454, 825, 1948, 1346, 1079, 1899, 2638, 2436, 621, 568, 2027, 2013, 454, 825, 952, 588, 29644, 2891, 2891, 264, 2525, 272, 543, 588, 29644, 2891, 264, 8442, 2525, 272, 912, 1038, 2132, 2638, 6958, 1009, 263, 560, 267, 10846, 994, 825, 1247, 1775, 538, 2039, 263, 271, 267, 6352, 263, 560, 15892, 1038, 952, 588, 29644, 2891, 2891, 264, 2525, 272, 543, 588, 29644, 2891, 264, 8442, 2525, 272, 912, 2018, 2132, 2638, 6958, 1009, 263, 560, 267, 10846, 994, 825, 1948, 952, 649, 1336, 513, 834, 17983, 1205, 922, 27972, 652, 834, 2891, 454, 1038, 8640, 588, 5157, 316, 2525, 8442, 13426, 2018, 1948, 2745, 2891, 286, 5602, 2018, 2638, 23785, 272, 454, 2018, 2539, 284, 328, 454, 2018, 2119, 912, 3546, 1247, 588, 314, 12294, 316, 256, 6889, 2891, 912, 7386, 2539, 268, 284, 272, 454, 2018, 4849, 12039, 13286, 912, 3546, 2132, 8771, 454, 825, 1948, 621, 1131, 2141, 581, 2027, 2013, 454, 2018, 952, 2638, 6958, 1009, 263, 560, 314, 12294, 268, 272, 281, 328, 3910, 10846, 264, 2525, 16178, 912, 3546, 2132, 8771, 454, 2018, 1948, 2745, 263, 12294, 267, 328, 994, 825, 1948, 1689, 1919, 3330, 20465, 547, 581, 834, 339, 4840, 2018, 585, 795, 538, 2039, 263, 12294, 267, 328, 266, 272, 2187, 3546, 588, 14728, 316, 6889, 339, 4840, 2018, 1775, 284, 12294, 268, 272, 454, 1038, 8640, 588, 5157, 316, 2525, 14824, 912, 2018, 952, 588, 5157, 266, 272, 316, 2525, 14824, 610, 588, 5157, 266, 272, 316, 2525, 257, 2891, 610, 588, 5157, 266, 272, 316, 2525, 8442, 13426, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 2638, 23785, 272, 454, 3546, 1775, 23785, 272, 454, 1038, 3116, 912, 2018, 1948, 2745, 2891, 286, 273, 5602, 2018, 1775, 23785, 272, 454, 1038, 1948, 1346, 1079, 1899, 2638, 2436, 621, 568, 2027, 2013, 454, 825, 1948, 2745, 263, 13765, 994, 825, 1948, 2745, 263, 560, 994, 567, 1948, 1346, 1079, 1899, 2638, 2436, 621, 568, 2027, 2013, 454, 825, 952, 588, 29644, 2891, 2891, 264, 2525, 272, 543, 588, 29644, 2891, 264, 8442, 2525, 272, 912, 1038, 2132, 2638, 6958, 1009, 263, 560, 267, 10846, 994, 825, 952, 2638, 2525, 10846, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 1948, 2745, 19304, 263, 274, 11924, 262, 339, 684, 6773, 10807, 3097, 1038, 2132, 8771, 454, 604, 263, 21671, 318, 17647, 29999, 27182, 4297, 2525, 16178, 912, 825, 1820, 3488, 763, 2262, 568, 23380, 269, 5073, 12828, 912, 825, 952, 568, 318, 20777, 27182, 267, 10846, 2187, 1038, 1820, 3488, 763, 2262, 568, 4570, 269, 5073, 825, 3116, 912, 1038, 1820, 3488, 763, 2262, 568, 23380, 9538, 2020, 692, 0, 3698, 5062, 301, 10212, 1115, 3799, 2187, 825, 8173, 825, 562, 568, 606, 703, 692, 825, 16849, 6936, 952, 930, 8870, 4999, 540, 476, 277, 267, 476, 280, 543, 476, 736, 11224, 562, 454, 825, 19227, 7024, 8771, 563, 825, 8173, 825, 1948, 2659, 8943, 3371, 454, 825, 585, 513, 538, 2039, 17301, 3799, 270, 277, 11924, 272, 2187, 1038, 585, 536, 538, 2039, 17301, 3799, 270, 1015, 11924, 272, 2187, 2018, 585, 524, 538, 2039, 17301, 3799, 270, 736, 11924, 272, 2187, 3546, 952, 630, 277, 265, 320, 266, 280, 265, 321, 266, 736, 265, 322, 264, 2525, 333, 912, 7386, 1820, 3488, 320, 28121, 271, 348, 536, 28121, 272, 348, 524, 28121, 273, 348, 8339, 8971, 5416, 14720, 22698, 4917, 7386, 2132, 6936, 454, 7386, 2736, 454, 825, 2132, 8771, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 5897, 18257, 1477, 290, 548, 663, 1092, 18258, 1477, 1607, 3758, 3568, 3252, 2556, 547, 6460, 6119, 13859, 21506, 2421, 519, 6075, 547, 26417, 6119, 799, 9226, 666, 946, 547, 1349, 1239, 1477, 18257, 5897, 5814, 15259, 1477, 5814, 19523, 5897, 5897, 19399, 10310, 5992, 2971, 1477, 2971, 7462, 1038, 717, 4953, 667, 4932, 2894, 31064, 306, 1363, 476, 10310, 2971, 1477, 19399, 10310, 5992, 2971, 1477, 258, 13900, 704, 1599, 585, 2973, 12803, 1477, 258, 335, 17123, 281, 717, 1115, 519, 8700, 543, 4463, 689, 519, 4098, 540, 519, 3758, 1477, 258, 6358, 338, 281, 1239, 568, 519, 6151, 1239, 1477, 258, 16059, 338, 281, 7024, 630, 12296, 267, 4463, 264, 585, 519, 1239, 1477, 3698, 1205, 12047, 5014, 16597, 8029, 825, 1239, 815, 1239, 14714, 8692, 14061, 20889, 2891, 834, 3418, 825, 1239, 815, 4786, 17301, 267, 1239, 3418, 825, 2132, 1239, 5897, 19399, 10310, 5992, 2971, 1477, 2971, 7462, 1038, 595, 4041, 3198, 667, 25353, 17264, 476, 10310, 2971, 1477, 19399, 10310, 5992, 2971, 1477, 258, 13900, 704, 1599, 585, 2973, 12803, 1477, 258, 335, 17123, 281, 12043, 519, 1239, 883, 513, 26729, 3898, 21506, 258, 6358, 338, 281, 1239, 568, 519, 6151, 1239, 1477, 258, 16059, 338, 281, 7024, 519, 19345, 1239, 1477, 3698, 1579, 663, 1092, 16597, 8029, 825, 1239, 815, 1239, 18622, 2897, 19629, 343, 742, 2580, 834, 14744, 825, 19345, 11907, 815, 1496, 867, 5560, 264, 585, 546, 538, 1239, 15947, 24541, 825, 15981, 2745, 2891, 2080, 568, 513, 10126, 540, 519, 19345, 1239, 14744, 825, 1820, 263, 30236, 539, 11907, 314, 271, 281, 476, 2004, 8079, 18257, 825, 1948, 4322, 1820, 6898, 941, 7620, 1031, 1477, 4449, 7386, 1948, 1721, 3181, 19982, 5301, 1477, 825, 2132, 19345, 11907, 24653, 19399, 10310, 5992, 2971, 1477, 2971, 7462, 1038, 717, 4953, 681, 8582, 306, 25639, 476, 10310, 2971, 1477, 19399, 10310, 5992, 2971, 1477, 258, 13900, 704, 1599, 585, 2973, 12803, 1477, 258, 335, 17123, 281, 5932, 513, 11718, 689, 519, 1239, 547, 581, 10480, 883, 2328, 3758, 269, 590, 997, 525, 21506, 258, 1363, 519, 1239, 883, 3515, 676, 20105, 1169, 8700, 1297, 540, 3197, 1477, 258, 6358, 338, 281, 1239, 568, 519, 6151, 1239, 21506, 258, 1038, 8700, 568, 519, 1297, 540, 9587, 538, 1142, 1899, 540, 519, 1239, 1477, 258, 16059, 338, 281, 7024, 513, 11718, 1599, 5627, 782, 540, 519, 3515, 540, 519, 21506, 258, 1363, 1239, 23228, 3698, 1205, 4900, 16597, 267, 8700, 8029, 825, 585, 1064, 538, 2039, 263, 271, 267, 7003, 16597, 1070, 8700, 8029, 1038, 6556, 1239, 314, 1842, 281, 1064, 1341, 8700, 316, 24653, 19399, 10310, 5992, 2971, 1477, 2971, 7462, 1038, 654, 305, 25492, 674, 11223, 17264, 476, 10310, 2971, 1477, 19399, 10310, 5992, 2971, 1477, 258, 13900, 704, 1599, 585, 2973, 12803, 1477, 258, 335, 17123, 281, 3503, 519, 19345, 1239, 547, 519, 2953, 3758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19571, 994, 825, 713, 318, 16651, 15220, 4069, 19571, 815, 713, 318, 935, 3200, 15461, 19571, 263, 10472, 318, 16651, 15220, 4069, 994, 825, 1820, 2891, 5522, 16558, 23297, 281, 14307, 713, 318, 16651, 15220, 4069, 994, 825, 1820, 2891, 20663, 23297, 281, 14307, 713, 318, 26367, 15220, 4069, 994, 825, 713, 14682, 877, 318, 1372, 17800, 263, 10472, 318, 16651, 15220, 4069, 19571, 267, 713, 318, 26367, 15220, 4069, 19571, 9239, 20777, 815, 8771, 454, 258, 1247, 4570, 2652, 8771, 912, 258, 672, 713, 318, 16651, 15220, 4069, 815, 3403, 2891, 11767, 707, 3903, 281, 19515, 258, 672, 4570, 815, 2638, 318, 20777, 17750, 263, 10472, 318, 16651, 15220, 4069, 994, 258, 672, 952, 4570, 2652, 8771, 912, 258, 1363, 1820, 2891, 1103, 20777, 3903, 269, 9373, 1586, 23528, 258, 1104, 4351, 692, 258, 713, 318, 26367, 15220, 4069, 19571, 815, 4351, 27110, 263, 271, 267, 476, 275, 994, 258, 713, 318, 26367, 15220, 4069, 815, 713, 318, 935, 3200, 15461, 23952, 263, 10472, 318, 26367, 15220, 4069, 19571, 994, 258, 713, 318, 16651, 15220, 4069, 19571, 815, 713, 318, 935, 3200, 15461, 19571, 263, 10472, 318, 16651, 15220, 4069, 994, 258, 1820, 2891, 5522, 16558, 23297, 14307, 713, 318, 16651, 15220, 4069, 994, 258, 1820, 2891, 20663, 23297, 14307, 713, 318, 26367, 15220, 4069, 994, 258, 713, 14682, 877, 318, 1372, 17800, 263, 10472, 318, 16651, 15220, 4069, 19571, 267, 713, 318, 26367, 15220, 4069, 19571, 9239, 0, 692, 3698, 26270, 23544, 6025, 2187, 825, 23288, 825, 2433, 12407, 512, 281, 314, 842, 316, 1592, 540, 2338, 454, 825, 2433, 8873, 281, 314, 842, 316, 2040, 540, 2338, 538, 519, 1592, 692, 825, 21188, 26270, 23544, 31912, 272, 267, 273, 25662, 274, 25662, 276, 267, 277, 316, 7481, 825, 476, 1704, 454, 825, 21188, 26270, 23544, 31912, 273, 267, 278, 25662, 272, 267, 273, 267, 274, 316, 7481, 825, 476, 1428, 454, 825, 21188, 26270, 23544, 31912, 274, 267, 277, 267, 279, 25662, 272, 267, 273, 267, 274, 316, 7481, 825, 476, 2537, 454, 825, 21188, 26270, 23544, 31912, 272, 267, 274, 267, 275, 25662, 276, 25662, 279, 267, 273, 316, 7481, 825, 476, 2537, 454, 825, 21188, 26270, 23544, 31912, 273, 267, 279, 267, 275, 267, 274, 25662, 273, 267, 272, 316, 7481, 825, 476, 736, 692, 825, 23288, 825, 32102, 815, 32582, 476, 1948, 24105, 1592, 454, 825, 585, 1775, 538, 512, 912, 1038, 585, 795, 538, 2039, 630, 6352, 9217, 264, 2567, 476, 1948, 8520, 538, 1592, 630, 7474, 568, 849, 538, 519, 1592, 994, 2018, 32102, 6910, 9217, 14728, 8079, 825, 1948, 5417, 621, 547, 8900, 1592, 454, 825, 2132, 2040, 10857, 560, 264, 567, 1948, 8999, 332, 566, 540, 519, 1592, 692, 258, 13117, 2525, 284, 476, 272, 815, 13117, 4499, 23751, 3698, 19469, 23544, 6025, 2187, 825, 23288, 825, 2433, 12407, 512, 281, 314, 842, 316, 1592, 540, 2338, 454, 825, 2433, 8873, 281, 314, 842, 316, 1592, 540, 1297, 602, 568, 519, 2040, 540, 519, 1101, 3097, 825, 1775, 1341, 476, 272, 2609, 689, 519, 3312, 1592, 22562, 825, 21188, 19469, 23544, 8443, 272, 267, 273, 267, 274, 7481, 825, 1496, 272, 267, 476, 274, 267, 476, 277, 2639, 825, 21188, 19469, 23544, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 7481, 825, 1496, 272, 267, 476, 274, 267, 476, 277, 267, 476, 1015, 267, 476, 1428, 2639, 825, 21188, 19469, 23544, 8443, 276, 267, 277, 267, 278, 267, 279, 7481, 825, 1496, 276, 267, 476, 1556, 267, 476, 1240, 267, 476, 2918, 2639, 825, 21188, 19469, 23544, 8443, 1015, 267, 273, 267, 276, 7481, 825, 1496, 1015, 267, 476, 1321, 267, 476, 1704, 2639, 825, 21188, 19469, 23544, 8443, 273, 267, 273, 267, 273, 267, 273, 7481, 825, 1496, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 6540, 825, 23288, 825, 32102, 272, 815, 1496, 339, 314, 271, 14963, 476, 1948, 513, 1592, 602, 723, 519, 1101, 1297, 540, 9936, 538, 519, 1592, 454, 825, 32102, 815, 512, 314, 271, 316, 567, 1948, 817, 793, 32102, 814, 519, 1871, 607, 513, 1101, 1297, 538, 519, 1592, 3097, 825, 585, 1775, 538, 2039, 12759, 6025, 9984, 272, 2187, 1038, 32102, 6834, 512, 5157, 266, 272, 316, 476, 1948, 331, 560, 7132, 543, 3160, 547, 519, 1297, 602, 729, 1572, 454, 1038, 32102, 272, 6910, 10857, 560, 264, 476, 1948, 5417, 621, 547, 519, 1592, 602, 723, 519, 1101, 1297, 2907, 454, 825, 2132, 32102, 272, 692, 258, 13117, 2525, 284, 476, 273, 815, 13117, 4499, 23751, 3698, 1647, 6025, 2187, 825, 23288, 825, 2433, 12407, 512, 281, 1496, 842, 316, 1592, 540, 2338, 563, 825, 2433, 8873, 281, 314, 842, 316, 519, 1482, 1592, 609, 519, 3312, 835, 855, 2759, 3097, 825, 519, 1101, 835, 543, 519, 2063, 835, 856, 780, 825, 21188, 1647, 8443, 272, 267, 274, 267, 275, 267, 276, 7481, 825, 1496, 274, 267, 476, 275, 2639, 825, 21188, 1647, 8443, 273, 267, 273, 267, 273, 267, 274, 267, 275, 267, 276, 7481, 825, 1496, 273, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 825, 21188, 1647, 8443, 275, 267, 276, 267, 277, 7481, 825, 1496, 276, 2639, 825, 21188, 1647, 8443, 274, 267, 275, 267, 276, 267, 275, 267, 274, 7481, 825, 1496, 275, 267, 476, 276, 267, 476, 275, 2639, 825, 21188, 1647, 8443, 277, 267, 278, 267, 277, 267, 278, 267, 277, 267, 278, 7481, 825, 1496, 278, 267, 476, 277, 267, 476, 278, 267, 476, 277, 6540, 825, 23288, 825, 2132, 512, 314, 272, 18737, 272, 316, 825, 1948, 12827, 519, 1101, 835, 543, 519, 2063, 835, 856, 692, 258, 13117, 4499, 476, 274, 815, 13117, 4499, 2525, 454, 3698, 14299, 6025, 2187, 825, 23288, 825, 2433, 12407, 512, 281, 1496, 842, 316, 1592, 540, 2338, 454, 825, 2433, 8873, 281, 1496, 842, 316, 519, 1482, 1592, 609, 519, 3312, 835, 855, 2759, 3097, 825, 519, 1101, 835, 543, 519, 2063, 835, 856, 780, 825, 21188, 512, 815, 1496, 272, 267, 274, 267, 275, 267, 276, 2639, 825, 21188, 14299, 6025, 994, 825, 21188, 512, 454, 825, 1496, 274, 267, 476, 275, 2639, 825, 21188, 512, 815, 1496, 273, 267, 273, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 825, 21188, 14299, 6025, 994, 825, 21188, 512, 454, 825, 1496, 273, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 825, 21188, 512, 815, 1496, 275, 267, 276, 267, 277, 2639, 825, 21188, 14299, 6025, 994, 825, 21188, 512, 454, 825, 1496, 276, 2639, 825, 21188, 512, 815, 1496, 274, 267, 275, 267, 276, 267, 275, 267, 274, 2639, 825, 21188, 14299, 6025, 994, 825, 21188, 512, 454, 825, 1496, 275, 267, 476, 276, 267, 476, 275, 2639, 825, 21188, 512, 815, 1496, 278, 267, 277, 267, 276, 2639, 825, 21188, 14299, 6025, 994, 825, 21188, 512, 454, 825, 1496, 277, 6540, 825, 23288, 825, 512, 31927, 6025, 314, 271, 8079, 567, 1948, 2759, 519, 1101, 835, 454, 825, 512, 31927, 6025, 15631, 272, 8079, 567, 1948, 2759, 519, 2063, 835, 692, 258, 13117, 4499, 284, 476, 275, 815, 13117, 4499, 2525, 454, 3698, 568, 5334, 9285, 6025, 2187, 825, 15981, 692, 825, 2433, 12407, 512, 281, 314, 1598, 270, 842, 316, 1592, 540, 1297, 610, 1193, 454, 825, 2433, 8873, 281, 1496, 321, 944, 316, 2638, 2436, 621, 6582, 1871, 689, 519, 2547, 692, 825, 21188, 568, 5334, 9285, 8443, 272, 267, 273, 267, 274, 267, 275, 7481, 825, 6936, 454, 825, 21188, 568, 5334, 9285, 8443, 275, 267, 274, 267, 276, 267, 273, 267, 278, 7481, 825, 8771, 454, 825, 21188, 568, 5334, 9285, 8443, 273, 267, 273, 267, 272, 267, 274, 267, 275, 7481, 825, 8771, 454, 825, 21188, 568, 5334, 9285, 8443, 262, 320, 12887, 337, 12887, 322, 12887, 324, 262, 7481, 825, 8771, 454, 825, 21188, 568, 5334, 9285, 8443, 262, 320, 12887, 321, 12887, 322, 12887, 323, 262, 7481, 825, 6936, 692, 825, 15981, 692, 825, 952, 512, 2652, 15044, 6025, 2567, 1948, 604, 1592, 512, 11224, 547, 1592, 512, 602, 568, 10288, 6606, 454, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 258, 13117, 2525, 476, 276, 815, 13117, 4499, 23751, 3698, 4395, 13448, 6025, 2187, 825, 15981, 692, 825, 2433, 12407, 512, 281, 1496, 1598, 316, 1592, 540, 1913, 454, 825, 2433, 8873, 281, 1496, 1598, 316, 1592, 540, 2262, 855, 556, 268, 1551, 1052, 676, 8380, 454, 825, 519, 2262, 602, 1376, 609, 1412, 311, 262, 1101, 6606, 692, 825, 21188, 4395, 13448, 8443, 262, 343, 664, 12887, 12704, 12887, 1415, 12887, 343, 773, 262, 7481, 825, 18358, 343, 664, 3299, 1412, 343, 773, 3299, 1412, 1415, 3299, 1412, 12704, 23300, 825, 21188, 4395, 13448, 8443, 262, 343, 517, 12887, 342, 517, 12887, 14654, 836, 262, 7481, 825, 18358, 343, 517, 3299, 1412, 14654, 836, 3299, 1412, 342, 517, 23300, 825, 21188, 4395, 13448, 8443, 262, 343, 542, 12887, 343, 879, 344, 12887, 330, 3107, 12887, 329, 1716, 262, 7481, 825, 18358, 343, 879, 344, 3299, 1412, 343, 542, 3299, 1412, 329, 1716, 3299, 1412, 330, 3107, 23300, 825, 21188, 4395, 13448, 8443, 262, 343, 6387, 12887, 343, 2643, 534, 12887, 321, 984, 12887, 321, 3711, 328, 262, 7481, 825, 18358, 343, 6387, 3299, 1412, 343, 2643, 534, 3299, 1412, 321, 3711, 328, 3299, 1412, 321, 984, 23300, 825, 21188, 4395, 13448, 8443, 262, 343, 534, 23932, 12887, 343, 534, 331, 2801, 12887, 659, 611, 807, 12887, 1910, 331, 16129, 262, 7481, 825, 18358, 343, 534, 331, 2801, 3299, 1412, 343, 534, 23932, 3299, 1412, 659, 611, 807, 3299, 1412, 1910, 331, 16129, 262, 6540, 825, 23288, 825, 32102, 815, 32582, 567, 1948, 24105, 1592, 454, 825, 32102, 272, 815, 32582, 825, 1948, 24105, 1592, 454, 825, 585, 1775, 538, 512, 912, 1038, 952, 1775, 314, 271, 316, 2652, 1412, 343, 9166, 567, 1948, 604, 519, 1101, 1915, 540, 519, 2262, 568, 1535, 454, 2018, 32102, 6910, 9217, 264, 567, 1948, 5417, 621, 547, 835, 1592, 454, 1038, 3116, 912, 2018, 32102, 272, 6910, 9217, 264, 825, 1948, 1039, 621, 547, 1776, 1592, 454, 825, 2132, 15044, 10857, 560, 11924, 15044, 10857, 560, 272, 264, 567, 1948, 516, 268, 1551, 1052, 519, 1592, 543, 2322, 621, 1927, 692, 258, 13117, 2525, 284, 476, 277, 815, 13117, 2525, 23751, 3698, 1256, 318, 21671, 6025, 2187, 825, 15981, 692, 825, 2433, 12407, 512, 281, 314, 842, 316, 1592, 540, 1297, 454, 825, 2433, 8873, 281, 1496, 842, 316, 1592, 540, 1256, 1297, 602, 12090, 538, 9936, 512, 692, 825, 21188, 1256, 318, 21671, 8443, 272, 267, 274, 267, 273, 267, 275, 267, 276, 267, 276, 7481, 825, 1496, 273, 267, 476, 275, 2639, 825, 21188, 1256, 318, 21671, 8443, 274, 267, 278, 267, 280, 267, 279, 267, 277, 267, 275, 267, 273, 7481, 825, 1496, 279, 267, 476, 277, 267, 476, 275, 267, 476, 273, 2639, 825, 21188, 1256, 318, 21671, 8443, 276, 267, 278, 267, 275, 267, 277, 267, 274, 7481, 825, 1496, 275, 267, 476, 277, 2639, 825, 21188, 1256, 318, 21671, 8443, 280, 267, 280, 267, 278, 267, 279, 267, 277, 7481, 825, 1496, 279, 267, 476, 277, 2639, 825, 21188, 1256, 318, 21671, 8443, 276, 267, 275, 267, 276, 267, 275, 7481, 825, 1496, 275, 267, 476, 275, 6540, 825, 23288, 825, 32102, 815, 32582, 476, 1948, 24105, 1592, 454, 825, 585, 1775, 538, 512, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 281, 476, 1948, 952, 1775, 16883, 676, 476, 273, 454, 2018, 32102, 6910, 9217, 264, 476, 1948, 5417, 621, 547, 519, 1592, 454, 825, 2132, 32102, 692, 258, 13117, 2525, 476, 278, 815, 13117, 4499, 454, 3698, 2648, 29495, 2187, 825, 23288, 825, 2433, 12407, 1257, 281, 1496, 1598, 316, 4845, 454, 825, 2433, 8873, 281, 314, 1598, 316, 4219, 519, 2034, 689, 519, 2063, 2262, 547, 1412, 331, 913, 28847, 825, 21188, 2648, 3488, 296, 13842, 596, 5073, 825, 1412, 296, 2648, 596, 7055, 825, 21188, 2648, 3488, 296, 740, 648, 596, 5073, 825, 1412, 296, 2648, 596, 7055, 825, 21188, 2648, 3488, 296, 2366, 621, 547, 596, 5073, 825, 1412, 296, 2366, 621, 2648, 596, 7055, 825, 21188, 2648, 3488, 332, 1170, 596, 5073, 825, 1412, 331, 913, 596, 7055, 825, 21188, 2648, 3488, 718, 936, 596, 5073, 825, 1412, 718, 2648, 596, 28847, 825, 23288, 825, 1257, 815, 1257, 21858, 3488, 1412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 491, 6459, 27671, 12811, 25000, 454, 1038, 1948, 11012, 15800, 4709, 9686, 3264, 7549, 4736, 21134, 476, 272, 630, 32648, 11714, 4344, 18775, 26281, 10780, 3378, 11012, 10948, 20046, 7846, 264, 18194, 3378, 17095, 32648, 20500, 3522, 563, 1038, 2262, 8266, 5157, 316, 815, 2262, 314, 272, 281, 2639, 825, 1948, 27188, 8563, 3264, 20434, 10948, 23845, 3264, 10780, 3264, 16417, 9261, 12811, 4709, 26281, 268, 4138, 4709, 9686, 3264, 7549, 4736, 3522, 267, 476, 4344, 269, 31128, 269, 10780, 3264, 16417, 17153, 19757, 17095, 11012, 6459, 29391, 7846, 19628, 27569, 27671, 7846, 11012, 6459, 13833, 7846, 454, 825, 1775, 6834, 476, 272, 692, 2745, 27182, 8266, 264, 0, 5814, 27368, 24653, 3698, 28728, 3799, 267, 1295, 333, 267, 3193, 333, 8029, 825, 5727, 1477, 825, 1849, 10102, 562, 1063, 1295, 333, 543, 3193, 333, 5897, 825, 1488, 7714, 6769, 1038, 562, 630, 3438, 762, 2567, 10025, 547, 28728, 1477, 1038, 1295, 333, 630, 3438, 762, 2567, 29358, 1871, 1477, 1038, 3193, 333, 630, 3438, 762, 2567, 26228, 1871, 5897, 825, 16849, 6769, 1038, 1496, 6943, 13912, 1496, 9188, 5524, 15947, 825, 5727, 1477, 825, 2132, 3193, 263, 2381, 32384, 333, 267, 562, 1070, 1295, 333, 3418, 5897, 3698, 2458, 573, 699, 551, 318, 16769, 263, 5550, 19963, 267, 6439, 10734, 8029, 825, 5727, 1477, 825, 16849, 1344, 827, 519, 16580, 5897, 825, 1488, 7714, 6769, 1038, 6439, 19963, 630, 305, 624, 2567, 634, 1843, 547, 2638, 585, 16580, 1477, 1038, 6439, 10734, 630, 305, 624, 2567, 634, 1843, 2458, 3660, 609, 5897, 825, 16849, 6769, 1038, 1193, 267, 703, 281, 16849, 519, 4287, 543, 9588, 540, 16580, 1477, 825, 5727, 1477, 825, 2427, 815, 2715, 271, 281, 1412, 9008, 3299, 476, 272, 281, 1412, 321, 18847, 3299, 476, 273, 281, 1412, 3847, 3299, 476, 274, 281, 1412, 2431, 3299, 476, 275, 281, 1412, 1231, 728, 262, 348, 1477, 825, 2418, 815, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 15947, 825, 952, 6439, 19963, 6983, 3326, 573, 699, 551, 263, 5550, 10734, 8029, 1038, 1948, 6744, 952, 4628, 3330, 1477, 1038, 952, 6439, 19963, 6745, 641, 10922, 6439, 10734, 6745, 641, 543, 1422, 1477, 3546, 6439, 19963, 12500, 18847, 13843, 6439, 10734, 12500, 18847, 543, 1422, 1477, 3546, 6439, 19963, 16000, 10922, 6439, 10734, 16000, 543, 1422, 1477, 3546, 6439, 19963, 16192, 13843, 6439, 10734, 16192, 6769, 2018, 2132, 2427, 314, 275, 3910, 476, 271, 1477, 1038, 1948, 6744, 1142, 2427, 540, 519, 6439, 1477, 1038, 952, 6439, 19963, 6745, 641, 10922, 6439, 10734, 12500, 18847, 6769, 2018, 2418, 314, 271, 316, 815, 2612, 263, 5550, 19963, 6745, 641, 910, 6439, 10734, 12500, 18847, 3418, 1038, 952, 6439, 19963, 12500, 18847, 13843, 6439, 10734, 6745, 641, 6769, 2018, 2418, 314, 272, 316, 815, 2612, 263, 5550, 19963, 12500, 18847, 910, 6439, 10734, 6745, 641, 3418, 1038, 952, 6439, 19963, 16000, 10922, 6439, 10734, 16192, 6769, 2018, 2418, 314, 273, 316, 815, 2612, 263, 5550, 19963, 16000, 910, 6439, 10734, 16192, 3418, 1038, 952, 6439, 19963, 16192, 13843, 6439, 10734, 16000, 6769, 2018, 2418, 314, 274, 316, 815, 2612, 263, 5550, 19963, 16192, 910, 6439, 10734, 16000, 3418, 1038, 1948, 17776, 14191, 2427, 1477, 1038, 4994, 815, 2418, 28827, 263, 2381, 263, 11161, 17903, 1038, 2132, 2427, 27709, 3910, 2418, 27709, 15947, 825, 2132, 7183, 267, 476, 271, 24653, 3698, 6439, 318, 719, 2515, 263, 5550, 19963, 267, 6439, 10734, 8029, 825, 5727, 1477, 825, 16849, 952, 513, 6439, 568, 3544, 519, 824, 6439, 5897, 825, 1488, 7714, 6769, 1038, 6439, 19963, 630, 305, 624, 2567, 634, 1843, 547, 2638, 1477, 1038, 6439, 10734, 630, 305, 624, 2567, 634, 1843, 547, 2638, 1996, 5897, 825, 16849, 6769, 1038, 536, 944, 281, 16849, 952, 6439, 19963, 568, 3544, 540, 6439, 10734, 1477, 825, 5727, 1477, 825, 2132, 6439, 19963, 6745, 641, 3436, 6439, 10734, 12500, 18847, 610, 1422, 1477, 1038, 6439, 19963, 12500, 18847, 2999, 6439, 10734, 6745, 641, 610, 1422, 1477, 1038, 6439, 19963, 16000, 3436, 6439, 10734, 16192, 610, 1422, 1477, 1038, 6439, 19963, 16192, 2999, 6439, 10734, 16000, 24653, 3698, 6439, 318, 629, 913, 263, 5550, 19963, 267, 6439, 10734, 8029, 825, 5727, 1477, 825, 16849, 952, 513, 6439, 568, 1657, 519, 824, 6439, 1477, 825, 901, 849, 2636, 952, 1312, 3615, 12969, 676, 476, 272, 18920, 5897, 825, 1488, 7714, 6769, 1038, 6439, 19963, 630, 305, 624, 2567, 634, 1843, 547, 2638, 1477, 1038, 6439, 10734, 630, 305, 624, 2567, 634, 1843, 547, 2638, 1996, 5897, 825, 16849, 6769, 1038, 536, 944, 281, 16849, 952, 6439, 19963, 568, 1657, 6439, 10734, 1477, 825, 5727, 1477, 825, 2132, 6439, 19963, 12500, 18847, 10922, 6439, 10734, 6745, 641, 1477, 0, 5814, 27368, 454, 5228, 2588, 2812, 1104, 1397, 8548, 738, 559, 710, 26748, 7531, 258, 901, 1362, 568, 1031, 547, 4564, 1367, 3515, 2813, 676, 519, 3593, 454, 5035, 7412, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1448, 272, 267, 1448, 273, 267, 2385, 318, 30720, 267, 1257, 284, 5257, 2187, 1038, 1582, 269, 4812, 272, 815, 1448, 272, 476, 1948, 8672, 1843, 454, 1038, 1582, 269, 4812, 273, 815, 1448, 273, 476, 1948, 8672, 1843, 454, 1038, 1582, 4877, 1861, 318, 30720, 815, 2385, 318, 30720, 454, 1038, 1582, 31815, 712, 815, 630, 271, 267, 476, 271, 267, 476, 271, 264, 476, 1948, 634, 7990, 540, 519, 1899, 454, 1038, 1582, 269, 3667, 815, 1257, 692, 825, 1219, 18419, 318, 1467, 4311, 2187, 1038, 1582, 4877, 1861, 318, 30720, 269, 6050, 31927, 4311, 994, 1038, 1582, 4877, 1861, 318, 30720, 269, 572, 21124, 318, 6050, 31927, 4311, 2020, 825, 1948, 8571, 338, 519, 1899, 593, 1606, 10547, 676, 1210, 519, 10974, 540, 519, 2798, 454, 825, 1219, 2721, 318, 1467, 4311, 267, 1397, 299, 8475, 18989, 2187, 1038, 952, 1582, 538, 1582, 4877, 1861, 318, 30720, 269, 572, 21124, 318, 6050, 912, 2018, 1582, 31815, 712, 815, 630, 14838, 267, 476, 271, 267, 476, 271, 994, 1038, 8640, 1582, 711, 538, 1582, 4877, 1861, 318, 30720, 26942, 318, 6050, 912, 2018, 1582, 31815, 712, 815, 630, 271, 267, 476, 271, 267, 476, 271, 2020, 1038, 27368, 6155, 3863, 18502, 13824, 4311, 4877, 1861, 318, 30720, 10947, 5334, 10547, 19572, 1582, 31815, 712, 267, 1582, 269, 4812, 272, 4732, 10547, 29223, 2676, 4449, 19930, 1582, 269, 4812, 273, 4732, 10547, 29223, 2020, 1038, 952, 1397, 299, 8475, 543, 1582, 269, 3667, 11203, 1412, 12466, 2018, 1397, 8548, 738, 559, 710, 26748, 4311, 4877, 1861, 318, 30720, 10947, 5334, 10547, 19572, 1582, 269, 3667, 2676, 4449, 3546, 703, 9230, 1345, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 316, 1341, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 8079, 1315, 476, 273, 13211, 4449, 3546, 703, 9230, 1345, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 316, 1341, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 8079, 1315, 476, 273, 13211, 4449, 3546, 630, 14838, 267, 476, 271, 267, 476, 271, 1070, 630, 14838, 267, 476, 14838, 267, 476, 14838, 1070, 476, 736, 2020, 825, 1219, 10856, 318, 1478, 318, 1467, 4311, 2187, 1038, 1948, 1403, 519, 1899, 568, 7299, 454, 1038, 952, 630, 1345, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 27368, 6230, 1787, 10947, 29223, 3890, 314, 271, 316, 2652, 476, 271, 454, 3546, 610, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 316, 2652, 476, 271, 2187, 2018, 952, 630, 11274, 4311, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 27368, 6230, 1787, 10947, 29223, 3890, 314, 271, 8079, 2652, 476, 271, 454, 7386, 543, 2612, 4311, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 8079, 2652, 476, 271, 454, 7386, 543, 1295, 4311, 269, 4812, 272, 6983, 528, 314, 272, 3910, 1582, 269, 4812, 273, 6983, 528, 314, 272, 8079, 2999, 27368, 6230, 1787, 10947, 29223, 3890, 314, 272, 316, 2999, 3193, 18692, 13376, 1582, 269, 4812, 272, 6983, 528, 314, 272, 3910, 1582, 269, 4812, 273, 6983, 528, 314, 272, 8079, 2187, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 2132, 8771, 692, 1038, 952, 630, 2381, 4311, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 3910, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 8079, 2999, 27368, 6230, 1787, 10947, 29223, 3890, 314, 271, 316, 2999, 3193, 4311, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 16689, 14030, 14030, 4449, 13376, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 7481, 3546, 543, 1295, 4311, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 3910, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 8079, 2999, 27368, 6230, 1787, 10947, 29223, 3890, 314, 272, 316, 2999, 3193, 18692, 7386, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 3910, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 8079, 2187, 2018, 10085, 815, 630, 1345, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 316, 910, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 7481, 2018, 15848, 815, 630, 1345, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 7481, 2018, 1948, 27240, 1304, 540, 1899, 11836, 1079, 11105, 2798, 593, 519, 7455, 454, 2018, 13506, 272, 815, 10085, 1315, 15848, 454, 2018, 10085, 815, 630, 1345, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 316, 910, 27368, 6230, 1787, 10947, 29223, 3890, 314, 272, 7481, 2018, 15848, 815, 630, 1345, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 910, 27368, 6230, 1787, 10947, 29223, 3890, 314, 271, 7481, 2018, 1948, 27240, 1304, 540, 1899, 11836, 519, 1448, 593, 519, 7455, 543, 519, 1448, 454, 2018, 1948, 1141, 519, 10856, 814, 1044, 4945, 539, 454, 2018, 13506, 273, 815, 10085, 1315, 15848, 454, 2018, 952, 2612, 263, 1037, 14116, 2784, 1304, 272, 267, 476, 272, 4297, 2999, 476, 271, 269, 272, 912, 3546, 952, 2612, 263, 1037, 14116, 2784, 1304, 273, 267, 476, 272, 4297, 2999, 476, 271, 269, 272, 543, 13506, 272, 2608, 13506, 273, 13843, 476, 271, 912, 7386, 2132, 6936, 454, 2018, 8640, 630, 11274, 263, 1037, 14116, 2784, 1304, 272, 267, 476, 272, 4297, 2608, 476, 271, 269, 11025, 2999, 2612, 263, 1037, 14116, 2784, 1304, 273, 267, 476, 272, 4297, 2999, 2612, 263, 1037, 14116, 2784, 1304, 272, 267, 476, 272, 264, 2608, 476, 272, 269, 1240, 994, 4449, 476, 543, 13506, 272, 2608, 13506, 273, 13843, 476, 271, 2187, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 2132, 8771, 692, 825, 1219, 7298, 4311, 2567, 476, 1948, 10318, 1149, 952, 519, 1899, 786, 581, 7298, 547, 519, 3593, 454, 1038, 952, 1582, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 316, 2999, 476, 271, 543, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 2999, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 1948, 1403, 519, 1535, 18396, 24002, 540, 1312, 2798, 616, 3544, 519, 8700, 2039, 540, 519, 5496, 454, 1038, 8640, 630, 1345, 269, 4812, 272, 4732, 10547, 29223, 314, 271, 316, 3436, 1582, 4877, 1861, 318, 30720, 9884, 5954, 454, 23526, 543, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 271, 316, 3436, 1582, 4877, 1861, 318, 30720, 9884, 5954, 2187, 2018, 2132, 8771, 454, 1038, 1948, 1403, 519, 586, 18396, 24002, 540, 1312, 2798, 616, 3544, 519, 554, 697, 2039, 540, 519, 5496, 454, 1038, 8640, 16733, 1345, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 316, 2999, 476, 271, 543, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 316, 2999, 476, 271, 994, 23526, 610, 630, 1345, 269, 4812, 272, 4732, 10547, 29223, 314, 272, 316, 3436, 1582, 4877, 1861, 318, 30720, 269, 19417, 454, 4449, 476, 543, 1582, 269, 4812, 273, 4732, 10547, 29223, 314, 272, 316, 3436, 1582, 4877, 1861, 318, 30720, 269, 19417, 15892, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 2132, 6936, 476, 1948, 769, 1022, 824, 2013, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 11693, 513, 18061, 540, 11113, 540, 1114, 2418, 2676, 323, 9057, 710, 519, 1906, 652, 1297, 540, 11113, 2877, 547, 454, 1889, 564, 513, 2016, 2179, 2698, 20701, 5814, 19523, 7531, 3698, 1118, 27087, 263, 23915, 267, 2698, 2187, 825, 5727, 314, 8999, 4424, 2639, 825, 1488, 7714, 912, 1038, 11113, 630, 314, 6943, 316, 2567, 1496, 9188, 5524, 2639, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 6119, 2854, 547, 4647, 3606, 18453, 267, 1419, 1519, 811, 18858, 329, 753, 267, 5196, 513, 3926, 269, 1215, 547, 5431, 543, 3713, 513, 18858, 13568, 3644, 5221, 18858, 329, 753, 616, 1031, 607, 513, 6765, 3926, 585, 513, 1297, 540, 1114, 2010, 540, 18453, 267, 952, 596, 14353, 707, 3926, 949, 723, 1044, 1786, 3737, 676, 513, 18858, 13568, 267, 596, 1058, 1413, 585, 1082, 540, 4119, 476, 2420, 267, 476, 1001, 279, 5788, 7813, 518, 18858, 13568, 281, 589, 4871, 518, 18858, 13568, 568, 513, 4062, 540, 18453, 5497, 547, 1205, 2883, 1344, 610, 11360, 3755, 998, 513, 12948, 610, 2883, 1062, 267, 4122, 998, 606, 2228, 12948, 610, 30549, 720, 8818, 563, 27396, 622, 538, 519, 1007, 18858, 329, 753, 547, 18858, 329, 753, 11036, 630, 307, 273, 307, 1070, 2966, 547, 948, 476, 1708, 271, 1178, 1091, 543, 1053, 1921, 609, 2475, 290, 620, 30282, 945, 616, 11235, 547, 1683, 873, 609, 4876, 5796, 269, 1656, 1129, 909, 585, 634, 18858, 13568, 8416, 267, 2475, 290, 779, 1863, 2228, 3318, 13033, 543, 30023, 3760, 563, 5278, 18858, 329, 753, 666, 1256, 2490, 707, 1357, 31748, 593, 865, 602, 519, 21190, 666, 1205, 513, 1434, 1413, 693, 707, 3068, 269, 18858, 13568, 9640, 616, 1360, 17559, 4773, 540, 3301, 855, 875, 798, 891, 3156, 1205, 5196, 707, 2780, 538, 519, 1101, 1747, 286, 6396, 2986, 25124, 269, 4107, 5904, 1205, 7783, 609, 22342, 2264, 1317, 519, 3593, 28085, 1945, 689, 519, 4950, 269, 4924, 476, 1240, 267, 476, 1001, 278, 5788, 18858, 329, 753, 1131, 9247, 2270, 17351, 3009, 267, 799, 267, 950, 3478, 15427, 267, 1131, 2014, 2530, 267, 610, 1732, 1572, 27560, 540, 1239, 269, 1280, 513, 18858, 13568, 7504, 547, 3262, 267, 621, 2115, 596, 547, 16436, 891, 3292, 547, 707, 5904, 269, 585, 1383, 267, 621, 666, 581, 607, 2241, 607, 6679, 606, 7164, 4757, 13613, 269, 898, 781, 3493, 1742, 267, 630, 5804, 1250, 15232, 607, 19078, 27725, 518, 264, 3436, 901, 8382, 568, 1175, 585, 5683, 5301, 2368, 18858, 13568, 9537, 543, 875, 789, 1568, 2608, 952, 621, 781, 513, 681, 2969, 630, 7230, 1774, 10029, 15484, 264, 519, 27725, 518, 666, 2070, 707, 8254, 543, 2594, 707, 13691, 3403, 630, 651, 2643, 334, 454, 1432, 568, 513, 7813, 518, 18858, 13568, 286, 910, 9502, 689, 15306, 31638, 454, 15037, 476, 4905, 267, 476, 1001, 280, 1548, 798, 8290, 267, 7708, 329, 753, 543, 824, 18453, 2965, 798, 589, 18453, 568, 2110, 585, 513, 17351, 3301, 267, 799, 568, 1022, 3301, 2966, 547, 7519, 2780, 5106, 4433, 1276, 607, 7303, 513, 1982, 689, 4881, 1070, 5531, 1215, 1281, 22647, 7457, 18858, 13568, 1315, 7982, 21830, 12229, 960, 286, 8672, 476, 276, 568, 13497, 896, 560, 908, 1018, 519, 30429, 666, 798, 269, 7136, 1947, 267, 2731, 267, 803, 3258, 569, 630, 7474, 781, 513, 2262, 1631, 264, 896, 560, 908, 1018, 519, 30429, 666, 798, 269, 4595, 513, 6552, 1569, 7708, 13568, 814, 2407, 1852, 540, 707, 7193, 267, 513, 1906, 1919, 606, 30429, 949, 798, 281, 12305, 2417, 3009, 267, 593, 3747, 267, 547, 2560, 1548, 1684, 5164, 4926, 267, 18858, 329, 753, 267, 543, 4033, 5689, 2264, 24511, 1684, 18858, 329, 753, 281, 589, 18858, 13568, 7504, 267, 610, 3274, 18858, 13568, 267, 568, 513, 1826, 540, 18453, 602, 24320, 2478, 3294, 607, 16048, 3301, 269, 4495, 621, 779, 593, 707, 3926, 267, 621, 5932, 9475, 538, 707, 3354, 269, 1975, 344, 2264, 281, 1975, 344, 2264, 554, 1938, 538, 519, 4282, 540, 707, 5665, 1062, 543, 838, 625, 593, 1018, 596, 798, 269, 898, 779, 2966, 547, 21102, 707, 6213, 1344, 269, 0, 297, 292, 298, 312, 17247, 4959, 299, 13263, 267, 476, 6977, 279, 454, 20062, 2894, 5990, 654, 663, 19907, 15354, 593, 808, 2131, 22690, 6816, 621, 9447, 476, 2412, 278, 20338, 547, 519, 11908, 5032, 267, 855, 16172, 1310, 922, 12625, 782, 476, 2412, 278, 3061, 1161, 1185, 9583, 20374, 689, 519, 1858, 269, 9182, 267, 972, 729, 1100, 834, 16058, 2963, 257, 1282, 519, 4693, 547, 1489, 602, 519, 654, 663, 19907, 729, 513, 8418, 591, 563, 9961, 14205, 20087, 621, 729, 16143, 602, 8176, 19681, 541, 1185, 1945, 547, 798, 609, 519, 20338, 13941, 543, 14897, 766, 267, 855, 2370, 6169, 269, 769, 1249, 267, 972, 729, 15991, 1022, 2168, 2963, 547, 1489, 519, 654, 663, 19907, 781, 3460, 693, 782, 563, 5475, 519, 20338, 941, 9447, 547, 808, 2131, 22690, 6816, 267, 519, 654, 663, 19907, 729, 9927, 689, 513, 8418, 591, 1394, 547, 513, 17195, 586, 25638, 269, 634, 11800, 543, 1232, 802, 602, 4371, 519, 20338, 27604, 585, 3592, 1079, 30748, 1944, 3275, 941, 6569, 267, 543, 519, 6928, 729, 1085, 10696, 609, 561, 6614, 543, 16693, 547, 4894, 519, 23296, 577, 540, 519, 5664, 10426, 720, 563, 263, 15862, 281, 834, 290, 2194, 3293, 543, 3416, 331, 8491, 20338, 538, 932, 1622, 2437, 476, 5197, 276, 267, 2608, 13548, 4704, 281, 838, 559, 6860, 264, 0, 289, 273, 269, 272, 21316, 295, 6200, 2641, 645, 273, 325, 17313, 514, 3467, 22474, 19861, 574, 3290, 13420, 725, 267, 971, 607, 15383, 5633, 968, 338, 18150, 892, 345, 284, 476, 272, 1341, 343, 273, 6629, 344, 273, 9188, 9216, 513, 2627, 514, 2230, 267, 1247, 10193, 267, 10747, 320, 1599, 345, 284, 325, 3287, 267, 586, 264, 3602, 325, 332, 2355, 3287, 267, 586, 264, 1729, 272, 1341, 343, 273, 6629, 344, 273, 5976, 6389, 305, 273, 663, 9792, 305, 5416, 2048, 9418, 29705, 4240, 1599, 540, 1079, 4830, 4632, 32426, 5415, 1806, 281, 1410, 6523, 2096, 2355, 305, 273, 20681, 305, 1556, 1341, 343, 273, 20742, 273, 266, 345, 273, 332, 2355, 305, 274, 20681, 305, 7562, 16868, 6629, 339, 264, 332, 2355, 305, 273, 20681, 305, 339, 322, 739, 328, 266, 1206, 842, 329, 332, 2355, 305, 20681, 305, 273, 330, 9943, 3944, 2355, 305, 274, 20681, 305, 274, 263, 1492, 2063, 1079, 616, 1572, 2048, 19066, 29705, 4240, 3252, 32426, 289, 273, 269, 273, 325, 17313, 689, 305, 660, 334, 305, 332, 293, 17313, 949, 723, 11890, 538, 305, 333, 663, 9832, 538, 305, 332, 288, 1483, 29705, 4240, 1599, 814, 922, 2039, 538, 6938, 6152, 29705, 4240, 1599, 814, 2039, 538, 305, 332, 845, 3436, 272, 288, 6152, 29705, 4240, 1599, 609, 2039, 538, 305, 332, 4754, 581, 2219, 540, 607, 332, 9418, 29705, 4240, 3252, 16216, 778, 8204, 835, 11282, 540, 513, 6152, 264, 325, 272, 3287, 272, 267, 1535, 273, 267, 1547, 1547, 1547, 1535, 333, 1070, 535, 273, 3287, 272, 267, 1547, 1547, 1547, 1535, 333, 1070, 1547, 1547, 1547, 535, 332, 3287, 272, 267, 1547, 1547, 1547, 1535, 333, 264, 288, 1599, 540, 630, 25669, 264, 1079, 4632, 568, 1419, 2854, 607, 325, 3287, 267, 586, 264, 21807, 263, 6440, 267, 6440, 264, 3602, 519, 1931, 540, 519, 4632, 568, 1271, 267, 602, 568, 325, 3287, 267, 586, 6661, 325, 12169, 267, 1535, 264, 7078, 281, 604, 326, 3287, 267, 586, 264, 815, 1410, 6523, 344, 6343, 568, 326, 12169, 267, 1535, 21663, 293, 17313, 540, 1022, 1297, 540, 4632, 666, 8451, 267, 552, 3052, 2529, 6025, 267, 1535, 267, 586, 267, 1990, 267, 623, 267, 570, 264, 332, 6260, 305, 277, 20681, 305, 2026, 585, 3252, 540, 513, 2582, 8686, 926, 762, 281, 1892, 320, 1599, 568, 3698, 1441, 585, 782, 2609, 514, 922, 6389, 269, 1892, 320, 1599, 7851, 1022, 835, 3693, 538, 922, 6389, 1729, 21671, 835, 3693, 514, 922, 2039, 269, 0, 1911, 260, 263, 272, 264, 272, 856, 540, 476, 272, 1004, 1336, 713, 3561, 5363, 454, 1607, 12744, 2982, 2985, 476, 272, 856, 540, 476, 272, 2985, 563, 6097, 547, 2622, 18852, 630, 1001, 280, 1070, 519, 2551, 540, 18629, 568, 513, 2370, 936, 476, 13647, 2929, 1004, 269, 4934, 540, 782, 1346, 1004, 267, 519, 3283, 2713, 538, 519, 6917, 2127, 6560, 609, 20317, 519, 1034, 269, 3509, 540, 891, 1004, 602, 2661, 538, 519, 6917, 2127, 1590, 2951, 676, 3723, 585, 3108, 547, 1205, 1569, 547, 1760, 539, 8667, 532, 1216, 269, 11162, 267, 1875, 9762, 3133, 730, 1216, 568, 519, 835, 3364, 15337, 2103, 2115, 519, 1034, 269, 4826, 3820, 630, 1001, 280, 264, 5267, 267, 476, 7830, 2929, 15337, 2103, 3668, 1569, 547, 2922, 1216, 543, 476, 9032, 2929, 3668, 1569, 547, 4824, 19455, 269, 2986, 1346, 945, 3668, 1569, 547, 4824, 19455, 267, 513, 31417, 476, 2537, 2929, 2259, 1930, 1219, 1815, 566, 1848, 20685, 11340, 807, 779, 2486, 1058, 1491, 519, 1216, 602, 789, 723, 6394, 543, 1287, 3801, 547, 24846, 1125, 621, 1101, 971, 607, 14495, 621, 936, 513, 3905, 18723, 538, 1931, 547, 19754, 1082, 17900, 547, 1118, 621, 2922, 547, 4235, 543, 3434, 741, 1426, 609, 621, 269, 2060, 18629, 779, 2551, 2450, 543, 865, 1082, 540, 873, 2713, 896, 519, 6710, 1899, 267, 1346, 2713, 538, 519, 6917, 2127, 616, 538, 1256, 8338, 6710, 269, 1879, 519, 2916, 0, 27670, 540, 14228, 826, 454, 24552, 7404, 14228, 826, 454, 1692, 547, 946, 14228, 826, 538, 513, 4845, 454, 10468, 2416, 540, 873, 1185, 519, 13581, 652, 15244, 540, 14228, 826, 267, 610, 18916, 2173, 2660, 267, 6862, 540, 1140, 761, 542, 538, 1373, 6569, 689, 519, 2385, 15135, 563, 4263, 891, 4025, 267, 621, 568, 1034, 4749, 4448, 609, 513, 14228, 826, 540, 5230, 838, 541, 543, 1608, 3249, 748, 838, 541, 267, 609, 7510, 27866, 540, 4401, 563, 763, 18916, 6149, 267, 610, 14228, 826, 267, 568, 782, 602, 851, 540, 513, 18916, 602, 568, 711, 7777, 563, 31880, 528, 838, 541, 568, 607, 15028, 513, 14228, 826, 585, 1291, 607, 21247, 568, 585, 4154, 563, 3891, 6499, 547, 1118, 2828, 609, 1200, 267, 602, 1352, 949, 948, 1864, 547, 1265, 519, 14228, 826, 7868, 25905, 543, 4354, 23135, 347, 24730, 5839, 291, 10735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 7641, 3126, 267, 610, 2442, 9089, 267, 3246, 2796, 543, 3178, 547, 3986, 11655, 685, 1620, 543, 18399, 540, 741, 5172, 2984, 780, 3963, 798, 649, 2648, 873, 888, 2411, 14945, 2467, 616, 1896, 4128, 1946, 3297, 7308, 27214, 25333, 2835, 666, 581, 11212, 13267, 547, 1082, 540, 721, 1384, 272, 269, 2878, 293, 534, 6278, 4995, 1358, 1450, 6131, 13794, 547, 1451, 811, 827, 741, 5172, 3197, 267, 11051, 267, 5830, 267, 543, 9858, 269, 1635, 18167, 4514, 883, 519, 3860, 1184, 267, 11655, 1745, 811, 4448, 547, 519, 1650, 543, 922, 15670, 563, 273, 269, 2878, 14807, 1049, 1871, 4995, 645, 4811, 2835, 1683, 4030, 883, 1585, 3344, 540, 2504, 267, 971, 607, 28076, 1374, 267, 3308, 2360, 267, 3280, 11049, 267, 543, 7097, 8586, 269, 22419, 666, 3605, 1007, 1983, 543, 4876, 10092, 602, 3565, 547, 8744, 2984, 547, 1272, 563, 274, 269, 2878, 7343, 21090, 585, 1469, 4995, 3509, 11655, 1491, 12257, 538, 31986, 1507, 3877, 543, 1574, 614, 5798, 1369, 741, 5172, 8874, 610, 2835, 269, 645, 4811, 2835, 2709, 10881, 543, 2796, 602, 948, 3988, 1732, 1174, 543, 2972, 1346, 14960, 563, 275, 269, 2878, 9209, 2065, 6667, 4995, 1280, 14971, 5159, 267, 5830, 267, 610, 824, 1525, 1161, 267, 645, 4811, 2835, 4196, 607, 3407, 2200, 585, 1565, 827, 2553, 267, 6163, 267, 543, 4485, 1031, 676, 4648, 538, 519, 2872, 780, 14300, 540, 3297, 7308, 27214, 25333, 2835, 454, 5785, 21387, 2414, 9414, 519, 9059, 540, 3297, 7308, 27214, 25333, 2835, 267, 1577, 779, 2263, 930, 1134, 8153, 10643, 2404, 609, 2442, 23471, 2478, 1384, 2162, 2608, 763, 3203, 540, 2098, 2393, 18701, 22177, 1607, 18991, 11609, 1433, 2488, 513, 6251, 1413, 693, 18557, 779, 19347, 4183, 267, 968, 313, 2393, 18701, 1848, 898, 2934, 1523, 25780, 267, 1915, 6272, 267, 543, 10875, 8916, 602, 7866, 519, 1928, 560, 1136, 960, 2322, 883, 2870, 1142, 6429, 269, 3958, 267, 621, 2882, 11042, 609, 1918, 2209, 267, 5639, 11051, 267, 543, 19971, 267, 5356, 16367, 1350, 31663, 525, 883, 741, 2219, 3157, 543, 4943, 725, 780, 2162, 2608, 295, 14019, 25260, 17912, 654, 19123, 787, 22177, 16914, 558, 11952, 532, 519, 16452, 25260, 4670, 29929, 267, 713, 15138, 3391, 3217, 3988, 593, 513, 3460, 998, 519, 9589, 1158, 540, 670, 690, 342, 11301, 543, 3564, 269, 2060, 2760, 1532, 4078, 5498, 523, 2592, 267, 12222, 267, 543, 5110, 762, 10063, 2388, 540, 605, 1186, 267, 24853, 267, 543, 11247, 267, 713, 3297, 7308, 27214, 25333, 1433, 2636, 11655, 547, 5660, 519, 1377, 540, 11428, 2838, 547, 1711, 835, 540, 519, 1034, 3811, 14557, 26517, 14624, 540, 782, 942, 780, 2162, 2608, 30252, 12668, 281, 634, 10414, 21220, 752, 839, 910, 9214, 323, 1043, 9061, 4149, 30708, 22177, 22013, 697, 1022, 10060, 12668, 7192, 20601, 5964, 609, 713, 3102, 3408, 540, 519, 5624, 4721, 543, 6472, 12286, 538, 9210, 28964, 23446, 269, 13159, 609, 2143, 2759, 12537, 12400, 543, 11673, 540, 2029, 267, 9604, 1949, 267, 543, 9703, 29282, 267, 713, 1433, 3091, 513, 2189, 19214, 883, 519, 2257, 5708, 7122, 19644, 676, 6634, 5001, 780, 3528, 3695, 3297, 7308, 27214, 25333, 2835, 267, 649, 2744, 513, 3152, 7071, 585, 519, 5876, 267, 6612, 267, 543, 2182, 960, 602, 4422, 883, 6721, 12300, 2984, 2066, 1585, 23447, 269, 6787, 596, 2461, 513, 13680, 20626, 610, 513, 13991, 10178, 267, 11362, 883, 891, 9159, 10600, 786, 17216, 10802, 707, 2949, 2923, 4616, 1995, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 1157, 8845, 4566, 547, 2307, 519, 10966, 7040, 547, 2154, 3075, 4255, 585, 1533, 5520, 5565, 1004, 13676, 1519, 513, 4816, 538, 8235, 29247, 1286, 16154, 808, 8811, 611, 529, 7001, 26219, 4884, 2282, 11894, 1310, 32626, 609, 5375, 3724, 539, 30280, 15766, 2209, 3950, 519, 20093, 1738, 3803, 2395, 540, 13108, 962, 731, 9496, 518, 5527, 3354, 4229, 7088, 5771, 626, 1193, 517, 724, 1245, 2282, 595, 23879, 12624, 540, 7911, 1336, 29595, 15196, 660, 517, 8265, 538, 5480, 2494, 4941, 585, 11439, 3775, 25053, 693, 6809, 23147, 3154, 6728, 476, 276, 5013, 827, 519, 5295, 4252, 13544, 13607, 1401, 301, 14566, 1899, 3724, 518, 781, 1753, 678, 753, 17977, 676, 7366, 540, 851, 3539, 12322, 945, 2909, 13949, 827, 621, 2228, 2677, 704, 566, 9428, 585, 14666, 267, 7264, 16290, 538, 3600, 777, 592, 1723, 676, 15420, 24635, 8004, 705, 2265, 539, 538, 15151, 4351, 1753, 12289, 3775, 25053, 5600, 717, 8008, 1544, 547, 3095, 7963, 18109, 4473, 547, 1219, 27448, 5136, 600, 659, 732, 1223, 1291, 547, 2229, 9505, 6658, 10060, 321, 15085, 3081, 15963, 616, 1412, 2254, 10950, 262, 282, 7784, 12439, 1397, 909, 11439, 547, 1118, 513, 1448, 853, 269, 2999, 320, 27430, 284, 10674, 2517, 4178, 269, 5287, 1122, 334, 2593, 285, 9418, 579, 1375, 25192, 20410, 9572, 320, 11417, 296, 723, 513, 7008, 30300, 1513, 594, 4941, 547, 1931, 267, 536, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6826, 16442, 7308, 4149, 322, 25333, 7734, 257, 607, 851, 540, 834, 11227, 1315, 9012, 570, 773, 24493, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 22503, 1962, 534, 3832, 781, 12769, 553, 1308, 1143, 281, 589, 11096, 28441, 22830, 827, 6970, 639, 566, 692, 5331, 596, 616, 4730, 513, 3014, 540, 2014, 543, 1198, 269, 1411, 1294, 513, 3440, 12902, 1524, 24824, 1310, 2576, 24864, 621, 1107, 519, 7903, 630, 322, 1021, 264, 5012, 547, 519, 3350, 630, 324, 977, 1040, 3767, 267, 1018, 952, 649, 5143, 596, 602, 972, 781, 513, 10952, 1523, 11021, 602, 2696, 4249, 519, 1909, 540, 519, 1268, 11319, 519, 3440, 1169, 942, 1945, 4523, 286, 901, 2856, 2501, 689, 12832, 15614, 22503, 1962, 534, 3832, 267, 513, 3943, 14544, 1282, 519, 3735, 476, 1704, 628, 2540, 269, 1261, 5156, 538, 17573, 1143, 267, 799, 2829, 602, 1152, 2696, 814, 519, 1379, 547, 5963, 2014, 1919, 547, 4755, 269, 2913, 781, 4685, 883, 1620, 713, 4241, 6138, 2439, 3383, 267, 875, 1281, 17573, 1143, 960, 286, 4340, 547, 22503, 1962, 534, 3832, 267, 950, 835, 2680, 4667, 547, 2014, 1776, 630, 3697, 707, 3659, 11319, 519, 3440, 1070, 2965, 4986, 9308, 13462, 873, 4849, 998, 2696, 781, 786, 269, 1879, 596, 1589, 540, 17666, 707, 6186, 267, 585, 3236, 267, 2696, 5932, 519, 5163, 282, 707, 4555, 1810, 1405, 2731, 1852, 707, 6091, 269, 898, 1522, 3100, 9490, 693, 1101, 16145, 267, 855, 1577, 781, 2263, 930, 3344, 540, 17573, 1143, 1210, 11541, 3871, 780, 7078, 476, 272, 281, 5994, 24971, 909, 2038, 1317, 540, 606, 15372, 9219, 30366, 269, 769, 938, 3232, 1272, 267, 649, 949, 1589, 602, 519, 3280, 540, 519, 15372, 3123, 721, 547, 12687, 909, 269, 1809, 2687, 547, 22503, 1962, 534, 3832, 267, 2696, 3096, 519, 3280, 540, 519, 15372, 607, 606, 1412, 11484, 5235, 262, 547, 1711, 519, 14815, 540, 31135, 1369, 721, 269, 1924, 267, 3079, 540, 519, 15372, 4929, 519, 2962, 267, 2696, 18060, 525, 2390, 6217, 519, 15372, 547, 3142, 8521, 519, 5551, 6364, 780, 7078, 476, 273, 281, 6056, 827, 6679, 513, 7450, 269, 1284, 2356, 8263, 602, 7432, 519, 798, 1251, 333, 984, 2306, 519, 561, 2255, 1847, 267, 3850, 519, 7450, 547, 18711, 1930, 269, 1717, 267, 17573, 1235, 1131, 8044, 602, 2696, 6411, 1759, 593, 7487, 721, 2490, 519, 5679, 984, 267, 7175, 519, 561, 2255, 7271, 547, 771, 1263, 720, 865, 602, 519, 7450, 10741, 12347, 269, 3776, 3527, 2933, 1810, 1405, 3132, 2164, 282, 789, 8806, 2285, 2696, 3255, 547, 957, 9935, 780, 3963, 1705, 22503, 1962, 534, 3832, 15974, 971, 606, 9058, 21169, 286, 4270, 267, 646, 4941, 547, 2232, 1079, 2101, 2152, 12735, 5224, 1010, 29629, 2456, 281, 2247, 23073, 5872, 543, 1757, 1275, 1063, 3615, 269, 1635, 10962, 2696, 607, 519, 1463, 2014, 3297, 3388, 267, 891, 2042, 8604, 4443, 547, 4194, 269, 1403, 2696, 8060, 1169, 2582, 8345, 267, 1287, 519, 10848, 2404, 609, 8186, 12018, 4703, 543, 2168, 3615, 7133, 1142, 824, 642, 4314, 780, 4913, 267, 1082, 5640, 10990, 609, 22503, 1962, 534, 3832, 781, 5784, 1813, 547, 1896, 4128, 269, 1280, 26784, 267, 5316, 5024, 1169, 5634, 12136, 547, 10143, 6304, 5526, 11991, 269, 5015, 267, 621, 12651, 2055, 3823, 1863, 786, 1107, 952, 2696, 16976, 938, 3527, 267, 5749, 1405, 649, 3274, 12470, 1115, 15472, 593, 3571, 12673, 286, 14936, 267, 2257, 11148, 547, 1445, 593, 2067, 4031, 12044, 2621, 2864, 982, 16750, 9525, 269, 4935, 267, 1247, 10578, 267, 1034, 3744, 543, 15806, 2221, 4782, 811, 16135, 6436, 7713, 1757, 1275, 780, 1103, 3932, 267, 22503, 1962, 534, 3832, 781, 17573, 1143, 6799, 513, 2189, 5133, 593, 1757, 566, 1141, 2696, 6585, 10700, 5539, 585, 1169, 2680, 269, 2755, 4101, 2757, 4978, 4478, 1757, 1275, 543, 8116, 267, 922, 10343, 3788, 3908, 19962, 547, 1585, 4145, 269, 16480, 267, 14719, 908, 971, 23349, 2035, 2636, 721, 547, 5660, 3309, 2081, 3425, 2429, 1686, 723, 8179, 4267, 547, 4909, 2055, 827, 6000, 543, 519, 7122, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 22547, 543, 12096, 540, 519, 20023, 454, 1607, 1650, 8385, 7902, 593, 717, 2077, 543, 568, 851, 540, 519, 8693, 30325, 5698, 563, 29909, 513, 8717, 3516, 267, 22186, 787, 333, 918, 749, 17344, 3323, 13936, 782, 540, 1200, 17885, 1765, 22336, 2256, 18967, 267, 6529, 518, 267, 12109, 3899, 267, 543, 4376, 3116, 1352, 7948, 1406, 22120, 610, 11003, 24568, 513, 476, 1626, 268, 8784, 544, 1783, 20220, 269, 634, 2856, 729, 547, 4688, 2724, 543, 2057, 10451, 20203, 676, 12561, 4642, 2914, 4292, 2853, 281, 8744, 17198, 11435, 547, 519, 17365, 4558, 267, 585, 1383, 267, 610, 1818, 1200, 1378, 5898, 2472, 269, 2353, 540, 713, 1223, 581, 2944, 1510, 8380, 1200, 1102, 10330, 593, 4159, 267, 540, 1576, 267, 855, 519, 20220, 6035, 918, 749, 17344, 606, 3063, 1106, 540, 12477, 1765, 18034, 2094, 1352, 4956, 547, 2671, 621, 609, 1200, 3875, 17749, 13794, 563, 14881, 2219, 267, 1577, 779, 1175, 2119, 543, 2569, 607, 1454, 17885, 607, 2009, 543, 723, 1187, 1818, 1250, 1378, 2472, 2223, 1767, 918, 749, 17344, 267, 945, 8255, 519, 5816, 543, 17749, 2272, 24613, 20023, 17904, 269, 968, 4692, 594, 1118, 1250, 1378, 11523, 619, 286, 8786, 267, 594, 666, 269, 2052, 594, 1118, 1250, 1378, 3276, 3455, 536, 12584, 286, 8786, 267, 594, 666, 269, 27686, 2472, 286, 17610, 666, 3034, 763, 1267, 729, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 1446, 1962, 534, 3832, 781, 12769, 553, 1308, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 21929, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 15328, 17443, 267, 3274, 3989, 267, 568, 519, 1353, 540, 519, 8129, 543, 2497, 540, 519, 7122, 269, 769, 1082, 6805, 10764, 267, 14421, 1108, 4249, 513, 3844, 1909, 538, 5935, 2686, 3961, 267, 5683, 8155, 267, 543, 5289, 2853, 269, 901, 3184, 12538, 883, 519, 3638, 13795, 540, 6805, 14421, 3098, 267, 5373, 4296, 1063, 3504, 7326, 543, 4207, 27964, 593, 6214, 267, 14498, 267, 543, 1232, 565, 11102, 640, 780, 4263, 519, 2295, 540, 1034, 6805, 14421, 3098, 6013, 519, 3661, 538, 513, 2366, 1304, 267, 10562, 26355, 269, 2552, 9009, 547, 2442, 5375, 10054, 267, 891, 4978, 798, 711, 8209, 27082, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19467, 19906, 267, 5891, 26161, 267, 14588, 539, 19152, 28872, 1021, 289, 944, 267, 11034, 267, 13232, 267, 754, 8029, 825, 2518, 23396, 15575, 5897, 825, 1948, 734, 14683, 2775, 519, 2451, 543, 519, 1318, 2694, 540, 519, 5044, 1477, 825, 2681, 26161, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 12759, 19906, 264, 8029, 1038, 952, 1775, 285, 284, 11034, 543, 1775, 27045, 13232, 6769, 2018, 2681, 26161, 6910, 3488, 258, 742, 742, 876, 20298, 1038, 8640, 1775, 285, 284, 13232, 266, 272, 543, 1775, 27045, 754, 6769, 2018, 2681, 26161, 6910, 3488, 258, 26392, 271, 764, 20298, 1038, 3116, 6769, 2018, 2681, 26161, 6910, 3488, 1042, 262, 10142, 825, 4159, 26161, 19906, 267, 10233, 26161, 267, 1873, 777, 15575, 3418, 825, 942, 4732, 2748, 32384, 22710, 910, 630, 14588, 539, 19152, 2608, 3193, 22710, 1315, 476, 1911, 264, 10142, 825, 2855, 299, 815, 2855, 314, 11034, 281, 13232, 266, 272, 15947, 825, 2855, 305, 815, 2855, 314, 13232, 266, 272, 281, 754, 266, 272, 316, 5897, 825, 1775, 267, 795, 267, 737, 815, 476, 271, 267, 476, 271, 267, 11034, 1948, 1775, 15010, 1551, 299, 282, 567, 795, 15010, 1551, 305, 282, 567, 737, 15010, 1551, 5897, 825, 1247, 630, 328, 2999, 7003, 19906, 299, 264, 543, 795, 2999, 7003, 19906, 305, 264, 8029, 1038, 952, 2855, 299, 5157, 316, 2999, 2855, 305, 14728, 316, 6769, 2018, 2855, 25208, 316, 815, 2855, 299, 5157, 15947, 2018, 23396, 15575, 23785, 272, 1477, 2018, 1775, 23785, 272, 1477, 2018, 585, 1535, 538, 2039, 263, 11034, 267, 330, 8029, 3546, 2681, 26161, 20572, 316, 815, 1412, 13582, 262, 1477, 2018, 4159, 26161, 19906, 267, 2681, 26161, 267, 23396, 15575, 3418, 2018, 942, 4732, 2748, 32384, 22710, 910, 630, 14588, 539, 19152, 2608, 3193, 22710, 1315, 476, 1911, 17903, 1038, 3116, 6769, 2018, 2855, 25208, 316, 815, 2855, 305, 14728, 15947, 2018, 23396, 15575, 23785, 272, 1477, 2018, 795, 23785, 272, 1477, 2018, 585, 1535, 538, 2039, 263, 11034, 267, 330, 8029, 3546, 2681, 26161, 20572, 316, 815, 1412, 13582, 262, 1477, 2018, 4159, 26161, 19906, 267, 2681, 26161, 267, 23396, 15575, 3418, 2018, 942, 4732, 2748, 32384, 22710, 910, 630, 14588, 539, 19152, 2608, 3193, 22710, 1315, 476, 1911, 264, 10142, 1038, 737, 23785, 272, 5897, 825, 1948, 13765, 952, 4376, 2451, 1477, 825, 1247, 1775, 283, 6352, 19906, 299, 8029, 1038, 2855, 25208, 316, 815, 2855, 299, 5157, 15947, 1038, 1775, 6834, 476, 272, 1477, 1038, 737, 6834, 476, 272, 1477, 1038, 23396, 15575, 23785, 272, 1477, 1038, 585, 1535, 538, 2039, 263, 11034, 267, 737, 476, 8029, 2018, 2681, 26161, 20572, 316, 815, 1412, 13582, 262, 1477, 1038, 4159, 26161, 19906, 267, 2681, 26161, 267, 23396, 15575, 3418, 1038, 942, 4732, 2748, 32384, 22710, 910, 630, 14588, 539, 19152, 2608, 3193, 22710, 1315, 476, 1911, 264, 10142, 825, 1247, 795, 283, 6352, 19906, 305, 8029, 1038, 2855, 25208, 316, 815, 2855, 305, 14728, 15947, 1038, 795, 6834, 476, 272, 1477, 1038, 737, 6834, 476, 272, 1477, 1038, 23396, 15575, 23785, 272, 1477, 1038, 585, 1535, 538, 2039, 263, 11034, 267, 737, 476, 8029, 2018, 2681, 26161, 20572, 316, 815, 1412, 13582, 262, 1477, 1038, 4159, 26161, 19906, 267, 2681, 26161, 267, 23396, 15575, 3418, 1038, 942, 4732, 2748, 32384, 22710, 910, 630, 14588, 539, 19152, 2608, 3193, 22710, 1315, 476, 1911, 264, 10142, 825, 1820, 2891, 306, 9285, 2855, 2433, 14307, 1551, 3418, 0, 258, 20848, 1599, 454, 258, 2278, 2433, 7711, 1143, 5661, 684, 14269, 454, 258, 3346, 2433, 708, 1690, 574, 520, 11986, 287, 326, 21166, 2593, 454, 258, 2813, 2433, 476, 2767, 270, 6349, 270, 1001, 273, 692, 5814, 11346, 7531, 3698, 4990, 18380, 30044, 18380, 267, 1003, 21223, 6123, 15871, 272, 267, 27312, 18989, 2187, 825, 5727, 31374, 8675, 676, 519, 1871, 543, 2132, 519, 1101, 1003, 21223, 6123, 454, 825, 8173, 825, 1427, 1998, 815, 15044, 30044, 18380, 269, 3438, 19477, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 13211, 7386, 9258, 284, 9188, 322, 2056, 994, 825, 1003, 318, 4958, 4471, 557, 815, 476, 271, 454, 825, 952, 1003, 21223, 6123, 13843, 7003, 30044, 18380, 264, 610, 1003, 21223, 6123, 2999, 476, 271, 912, 1038, 1003, 318, 4958, 4471, 557, 815, 7003, 30044, 18380, 994, 825, 3116, 912, 1038, 1003, 318, 4958, 4471, 557, 815, 1003, 21223, 6123, 454, 825, 2132, 1427, 1998, 11468, 11133, 318, 4958, 4471, 557, 2639, 0, 258, 6828, 5741, 1477, 258, 8191, 281, 918, 761, 328, 13928, 571, 5897, 5035, 9906, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 2875, 16182, 267, 2063, 267, 1101, 267, 1032, 267, 2165, 267, 1982, 8029, 1038, 1582, 269, 30700, 16182, 815, 2875, 16182, 1477, 1038, 1582, 16096, 815, 2063, 1477, 1038, 1582, 8807, 1009, 815, 1101, 1477, 1038, 1582, 13885, 792, 815, 1032, 1477, 1038, 1582, 269, 3410, 815, 2165, 1477, 1038, 1582, 269, 32491, 815, 1982, 5897, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 2132, 1193, 4311, 269, 30700, 16182, 264, 1341, 1412, 1412, 1341, 1193, 4311, 16096, 264, 1341, 1412, 1412, 1341, 1193, 4311, 8807, 1009, 264, 1341, 1412, 1412, 1341, 1193, 4311, 13885, 792, 264, 1341, 1412, 1412, 1341, 1193, 4311, 269, 3410, 264, 1341, 1412, 1412, 1341, 1193, 4311, 269, 32491, 3418, 24541, 825, 1219, 1820, 318, 30700, 5091, 564, 841, 4311, 8029, 1038, 1820, 4311, 269, 30700, 16182, 1341, 1412, 315, 339, 262, 1341, 1582, 16096, 1341, 1412, 315, 339, 262, 1341, 1582, 8807, 1009, 1341, 1477, 23526, 1412, 315, 339, 262, 1341, 1582, 13885, 792, 1341, 1412, 315, 339, 262, 1341, 1582, 269, 3410, 1341, 1412, 315, 339, 262, 1341, 1582, 269, 32491, 10142, 825, 7711, 18878, 24709, 1477, 825, 1219, 1820, 318, 3650, 518, 28399, 1038, 1820, 3488, 2839, 29146, 8310, 29146, 5575, 29146, 294, 2784, 17413, 29146, 294, 2784, 28350, 29146, 291, 12801, 25284, 262, 10142, 0, 11133, 815, 703, 9272, 15405, 11415, 815, 3403, 4590, 572, 336, 815, 476, 271, 692, 604, 1003, 2652, 476, 272, 912, 825, 585, 1775, 538, 2039, 12759, 30415, 15892, 1038, 513, 815, 5569, 5157, 2639, 1038, 952, 513, 2652, 5569, 5157, 1341, 476, 272, 2639, 19197, 1003, 2652, 476, 273, 912, 825, 513, 815, 476, 271, 454, 12828, 912, 825, 1820, 3488, 290, 617, 15282, 964, 935, 515, 322, 18480, 10807, 0, 3698, 1395, 30198, 318, 3901, 10961, 3799, 281, 842, 264, 9847, 1592, 912, 825, 544, 815, 11713, 825, 13274, 3873, 815, 11713, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 13274, 3873, 815, 3403, 14061, 20889, 3488, 30386, 1038, 544, 6910, 263, 4802, 3873, 994, 825, 2132, 544, 692, 3698, 1039, 21223, 2211, 657, 9852, 281, 4289, 267, 562, 281, 842, 264, 9847, 1592, 912, 825, 1319, 10961, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 9852, 15892, 1038, 1526, 815, 544, 5157, 6012, 6352, 9852, 5157, 8079, 268, 272, 2639, 1038, 17022, 528, 815, 544, 5157, 2639, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 17022, 528, 6910, 263, 6247, 994, 1038, 1319, 10961, 6910, 263, 23439, 528, 994, 825, 2132, 1319, 10961, 692, 3698, 28860, 318, 3901, 10961, 17635, 281, 1598, 264, 9847, 10581, 912, 825, 1319, 10961, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 17635, 15892, 1038, 17022, 18425, 341, 815, 11713, 1038, 585, 795, 538, 2039, 12759, 17635, 5157, 8079, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 17022, 18425, 341, 6910, 17635, 5157, 6012, 329, 7481, 1038, 1319, 10961, 6910, 263, 23439, 18425, 341, 994, 825, 2132, 1319, 10961, 692, 11133, 815, 3403, 14061, 20889, 3488, 30386, 3901, 10961, 815, 28860, 318, 3901, 10961, 263, 5417, 21223, 2211, 657, 9852, 2632, 541, 318, 3901, 10961, 17301, 16325, 314, 272, 8079, 1070, 703, 16325, 314, 271, 316, 21875, 3901, 10961, 815, 28860, 318, 3901, 10961, 263, 5417, 21223, 2211, 657, 263, 3901, 10961, 267, 703, 16325, 314, 271, 316, 21875, 14513, 815, 476, 271, 454, 1721, 1775, 538, 1319, 10961, 912, 825, 5569, 815, 1412, 7055, 825, 585, 795, 538, 1775, 912, 1038, 5569, 6834, 795, 454, 1038, 5569, 6834, 1412, 1412, 454, 825, 952, 18559, 2652, 476, 271, 610, 18559, 2652, 703, 16325, 314, 272, 8079, 910, 476, 272, 912, 1038, 585, 737, 538, 2039, 17301, 16325, 314, 271, 8079, 1341, 476, 272, 2187, 2018, 1820, 30415, 994, 2018, 1820, 4590, 825, 3116, 912, 1038, 1820, 30415, 994, 1038, 1820, 4590, 825, 18559, 6834, 476, 272, 454, 825, 952, 703, 16325, 314, 272, 8079, 2652, 476, 272, 912, 1038, 585, 561, 538, 2039, 17301, 16325, 314, 271, 8079, 2187, 2018, 1820, 30415, 994, 2018, 1820, 3890, 0, 3698, 1395, 30198, 318, 3901, 10961, 3799, 281, 842, 264, 9847, 1592, 912, 825, 544, 815, 11713, 825, 13274, 3873, 815, 11713, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 13274, 3873, 815, 3403, 14061, 20889, 3488, 30386, 1038, 544, 6910, 263, 4802, 3873, 994, 825, 2132, 544, 692, 3698, 1474, 541, 4671, 20403, 9852, 281, 4289, 264, 9847, 10581, 912, 825, 1474, 320, 815, 476, 271, 454, 825, 585, 1003, 538, 544, 314, 271, 14158, 1038, 1474, 320, 6834, 10581, 16325, 994, 825, 585, 1775, 538, 2039, 263, 272, 267, 703, 9230, 6352, 9852, 8358, 273, 264, 1341, 476, 271, 269, 276, 15892, 1038, 13274, 3873, 815, 544, 5157, 6012, 328, 18737, 328, 2639, 1038, 585, 1003, 538, 13274, 3873, 912, 2018, 1474, 320, 6834, 10581, 16325, 994, 825, 2132, 1474, 320, 692, 11133, 815, 703, 9272, 15405, 3901, 10961, 815, 1395, 30198, 318, 3901, 10961, 16325, 994, 338, 5448, 4671, 20403, 815, 1474, 541, 4671, 20403, 263, 3901, 10961, 994, 2745, 6600, 262, 3725, 338, 738, 5964, 815, 2715, 338, 5448, 4671, 20403, 15545, 273, 325, 348, 10807, 0, 343, 815, 703, 9272, 15405, 344, 815, 703, 9272, 15405, 328, 815, 476, 273, 454, 338, 5448, 815, 11713, 637, 815, 476, 271, 454, 6112, 1775, 10922, 1535, 912, 825, 952, 1535, 4939, 1775, 2652, 476, 271, 912, 1038, 2820, 815, 1535, 1315, 1775, 454, 1038, 1474, 320, 6910, 5560, 643, 994, 1038, 759, 815, 2040, 4433, 5448, 994, 825, 1775, 6834, 476, 272, 454, 604, 759, 2652, 586, 912, 825, 1820, 3488, 600, 580, 657, 5073, 12828, 912, 825, 1820, 3488, 3534, 334, 993, 580, 657, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17697, 318, 3225, 566, 3287, 267, 586, 264, 1267, 815, 476, 276, 2608, 1535, 317, 273, 1341, 586, 910, 476, 276, 282, 1439, 4939, 6301, 1599, 1599, 1267, 815, 535, 6025, 264, 952, 3884, 534, 6025, 264, 13466, 568, 8882, 6025, 264, 1267, 815, 10878, 301, 282, 3116, 1267, 815, 17697, 318, 3225, 566, 3287, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 1070, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 4297, 1341, 512, 282, 1439, 1439, 4939, 4530, 1383, 1599, 1449, 318, 4614, 742, 27255, 6025, 565, 267, 621, 619, 267, 3268, 1125, 264, 952, 562, 1173, 514, 2999, 476, 272, 547, 331, 815, 476, 271, 269, 1822, 1822, 4905, 282, 1439, 952, 562, 1173, 514, 2999, 476, 273, 621, 619, 815, 476, 1911, 271, 282, 1439, 952, 562, 1173, 514, 2999, 476, 274, 3268, 1125, 815, 476, 271, 269, 272, 282, 1439, 585, 512, 271, 815, 476, 271, 281, 25074, 1125, 281, 272, 269, 272, 535, 2745, 325, 3488, 339, 271, 815, 4939, 325, 2433, 22207, 512, 271, 5148, 512, 815, 2848, 742, 27255, 318, 7159, 5287, 263, 287, 325, 267, 512, 271, 267, 547, 331, 267, 621, 619, 5148, 952, 3884, 534, 6025, 264, 535, 2745, 325, 3488, 7224, 2626, 14826, 262, 5148, 3116, 1535, 815, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 5148, 586, 815, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 5148, 952, 2612, 263, 574, 14032, 318, 3225, 566, 3287, 267, 586, 4297, 10922, 547, 331, 535, 2745, 325, 3488, 5793, 7611, 693, 630, 260, 325, 267, 4939, 325, 9385, 333, 3299, 1535, 267, 586, 5148, 3116, 535, 2745, 325, 3488, 4944, 21874, 3070, 14826, 262, 5148, 1439, 1439, 1439, 1439, 19243, 281, 512, 271, 815, 476, 271, 269, 1822, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 1911, 1822, 2433, 10167, 693, 630, 271, 269, 6434, 272, 28276, 267, 476, 272, 269, 14093, 280, 4037, 264, 512, 271, 815, 476, 271, 269, 1220, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 4968, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 6110, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 4335, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 7785, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 10384, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 8517, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 271, 269, 12010, 1822, 2433, 10167, 693, 11196, 271, 269, 6924, 272, 28276, 267, 476, 273, 269, 6924, 272, 28276, 264, 512, 271, 815, 476, 272, 269, 1822, 1822, 2433, 1100, 2626, 512, 271, 815, 476, 272, 269, 1911, 1822, 2433, 1100, 2626, 476, 12361, 715, 574, 22564, 540, 281, 595, 1104, 31901, 270, 314, 4118, 267, 1193, 8971, 316, 22876, 513, 527, 5287, 6600, 281, 22876, 3287, 281, 10581, 2567, 10581, 282, 533, 271, 281, 10581, 2567, 10581, 815, 1577, 533, 272, 815, 535, 9638, 271, 264, 1577, 533, 273, 815, 535, 9638, 272, 264, 1577, 533, 272, 332, 271, 815, 533, 272, 910, 533, 271, 1267, 815, 533, 271, 910, 533, 272, 332, 271, 2608, 533, 272, 332, 271, 1315, 630, 335, 273, 910, 476, 273, 2608, 533, 272, 1341, 533, 271, 264, 22876, 2848, 742, 27255, 288, 527, 5287, 6600, 281, 22876, 3287, 281, 10581, 2567, 10581, 282, 533, 8181, 267, 547, 331, 281, 10581, 282, 3193, 3438, 281, 703, 2567, 10581, 815, 15254, 533, 271, 815, 533, 8181, 1267, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 15254, 12055, 815, 476, 272, 1247, 2612, 31114, 910, 533, 271, 264, 3436, 547, 331, 543, 12055, 2999, 3193, 3438, 281, 533, 271, 815, 1267, 1267, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 1651, 12055, 952, 2612, 31114, 910, 533, 271, 264, 3436, 547, 331, 281, 2132, 15089, 30775, 632, 290, 770, 601, 329, 879, 6262, 271, 267, 524, 272, 267, 524, 273, 267, 512, 281, 10581, 2567, 10581, 815, 1577, 521, 815, 476, 272, 910, 512, 1577, 524, 4905, 815, 521, 2608, 524, 271, 1341, 512, 2608, 524, 272, 1577, 524, 1321, 815, 521, 2608, 524, 272, 1341, 512, 2608, 524, 273, 1267, 815, 521, 2608, 524, 4905, 1341, 512, 2608, 524, 1321, 10959, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 281, 10581, 2567, 10581, 815, 632, 290, 770, 601, 329, 879, 263, 273, 267, 910, 279, 267, 476, 273, 267, 512, 264, 10959, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 281, 10581, 2567, 10581, 815, 632, 290, 770, 601, 329, 879, 263, 272, 267, 476, 273, 267, 476, 274, 267, 512, 264, 30775, 17697, 13420, 566, 3287, 267, 586, 281, 10581, 2567, 10581, 815, 476, 276, 2608, 1535, 2608, 1535, 1341, 586, 910, 476, 276, 30775, 535, 6025, 281, 10581, 2567, 10581, 815, 1577, 1535, 815, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 264, 1577, 586, 815, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 264, 1267, 815, 17697, 13420, 566, 3287, 267, 586, 264, 1341, 512, 15254, 512, 271, 815, 476, 271, 269, 271, 15254, 1535, 267, 586, 281, 10581, 585, 1775, 538, 476, 271, 907, 1015, 281, 31901, 719, 22182, 1299, 257, 339, 271, 815, 2715, 339, 271, 281, 271, 269, 272, 325, 348, 9890, 834, 1577, 512, 815, 2848, 742, 27255, 288, 527, 5287, 6600, 267, 512, 271, 267, 476, 271, 269, 1822, 1822, 4905, 267, 476, 1911, 271, 264, 952, 512, 18994, 301, 534, 281, 16079, 834, 7224, 2626, 257, 3116, 281, 1535, 815, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 5148, 586, 815, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 5148, 952, 2612, 263, 574, 14032, 13420, 566, 3287, 267, 586, 4297, 10922, 476, 271, 269, 1822, 9826, 281, 16079, 1299, 257, 5793, 7611, 693, 630, 346, 343, 15545, 277, 325, 9574, 2715, 344, 15545, 277, 325, 16585, 257, 3116, 281, 16079, 834, 4944, 21874, 3070, 257, 512, 271, 6834, 476, 271, 269, 272, 476, 19243, 281, 512, 271, 815, 476, 271, 269, 271, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 272, 9890, 10167, 693, 630, 271, 269, 6434, 272, 28276, 267, 476, 272, 269, 14093, 280, 4037, 264, 512, 271, 815, 476, 271, 269, 273, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 274, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 275, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 276, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 277, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 278, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 279, 9890, 1100, 2626, 512, 271, 815, 476, 271, 269, 280, 9890, 10167, 693, 11196, 271, 269, 6924, 272, 28276, 267, 476, 273, 269, 6924, 272, 28276, 264, 512, 271, 815, 476, 272, 269, 271, 9890, 1100, 2626, 12361, 1912, 1460, 22564, 540, 281, 595, 609, 795, 822, 2444, 2815, 318, 9895, 24939, 1599, 513, 527, 5287, 263, 15759, 518, 535, 267, 11046, 533, 271, 264, 11046, 533, 272, 815, 535, 9638, 271, 1070, 533, 273, 815, 535, 9638, 272, 1070, 533, 272, 332, 271, 815, 533, 272, 910, 533, 271, 2132, 533, 271, 910, 630, 335, 272, 332, 271, 2608, 533, 272, 332, 271, 264, 1315, 630, 335, 273, 910, 630, 273, 2608, 533, 272, 264, 1341, 533, 271, 264, 1439, 1599, 1599, 2848, 742, 27255, 288, 527, 5287, 263, 15759, 518, 535, 267, 3193, 3438, 267, 11046, 533, 8181, 267, 547, 331, 264, 11046, 533, 271, 815, 533, 8181, 267, 533, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 8870, 12055, 815, 476, 272, 1247, 2612, 9638, 1790, 271, 264, 285, 339, 565, 543, 12055, 283, 10946, 3438, 798, 533, 271, 815, 533, 533, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 12055, 6834, 476, 272, 1439, 1247, 2132, 476, 858, 263, 11274, 9638, 1790, 271, 264, 285, 339, 565, 8119, 333, 821, 9899, 335, 264, 1439, 1599, 1599, 632, 290, 770, 601, 329, 879, 263, 520, 558, 524, 271, 267, 524, 272, 267, 524, 273, 267, 512, 264, 11046, 521, 815, 476, 272, 910, 512, 267, 524, 4905, 815, 630, 338, 2608, 524, 271, 264, 1341, 630, 339, 2608, 524, 272, 1070, 524, 1321, 815, 630, 338, 2608, 524, 272, 264, 1341, 630, 339, 2608, 524, 273, 1070, 524, 23713, 815, 630, 338, 2608, 524, 4905, 264, 1341, 630, 339, 2608, 524, 1321, 264, 2132, 524, 23713, 1439, 1599, 1599, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 263, 520, 558, 512, 264, 2132, 632, 290, 770, 601, 329, 879, 263, 273, 267, 910, 279, 267, 476, 273, 267, 512, 264, 1439, 1599, 1599, 586, 3519, 557, 343, 29381, 13640, 629, 7637, 263, 520, 558, 512, 264, 2132, 632, 290, 770, 601, 329, 879, 263, 272, 267, 476, 273, 267, 476, 274, 267, 512, 264, 1439, 1599, 1599, 17697, 13420, 566, 263, 520, 558, 1535, 267, 586, 264, 2132, 630, 276, 2608, 1535, 2608, 1535, 264, 1341, 586, 910, 476, 276, 1439, 1599, 1599, 535, 263, 520, 558, 512, 264, 11046, 1535, 815, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 1070, 586, 815, 586, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 264, 2132, 17697, 13420, 566, 3287, 267, 586, 264, 1341, 512, 1439, 1599, 585, 1775, 284, 271, 547, 476, 1015, 798, 1820, 325, 263, 272, 2437, 339, 271, 815, 4939, 269, 272, 325, 2433, 14307, 328, 270, 1015, 264, 1843, 512, 815, 2848, 742, 27255, 288, 527, 5287, 6600, 267, 476, 1911, 271, 267, 1775, 270, 1015, 267, 476, 271, 269, 1822, 1822, 4905, 264, 952, 5569, 6025, 264, 1287, 1820, 325, 263, 272, 2437, 7224, 2626, 14826, 8442, 3116, 11046, 1535, 815, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 1070, 586, 815, 586, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 264, 952, 2612, 263, 574, 14032, 13420, 566, 3287, 267, 586, 4297, 10922, 476, 271, 269, 1822, 9826, 1287, 1820, 325, 263, 272, 2437, 5793, 7611, 693, 630, 10065, 277, 325, 267, 4939, 269, 277, 325, 9385, 333, 2580, 346, 343, 11971, 16585, 3116, 1820, 325, 263, 272, 2437, 4944, 21874, 3070, 14826, 8442, 1439, 952, 1439, 952, 1439, 585, 476, 19243, 1482, 607, 595, 12361, 5124, 22564, 540, 281, 595, 689, 2979, 1104, 6289, 267, 3884, 534, 689, 11885, 1104, 818, 1052, 1219, 513, 527, 5287, 6600, 267, 533, 271, 2567, 5727, 589, 527, 5287, 781, 970, 1905, 15684, 5727, 533, 272, 815, 535, 9638, 271, 264, 533, 273, 815, 535, 9638, 272, 264, 2132, 533, 271, 910, 630, 335, 272, 910, 533, 271, 264, 1262, 273, 1315, 630, 335, 273, 910, 476, 273, 2608, 533, 272, 1341, 533, 271, 264, 1219, 2848, 742, 27255, 318, 7159, 5287, 6600, 267, 533, 8181, 267, 547, 331, 267, 3193, 3438, 2567, 5727, 6008, 742, 27255, 781, 1505, 1210, 589, 527, 5287, 5727, 533, 271, 815, 533, 8181, 533, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 12055, 815, 476, 272, 1247, 2612, 9638, 910, 533, 271, 264, 3436, 547, 331, 543, 12055, 2999, 3193, 3438, 281, 533, 271, 815, 533, 533, 815, 513, 527, 5287, 6600, 267, 533, 271, 264, 12055, 6834, 476, 272, 2132, 6289, 952, 2612, 9638, 910, 533, 271, 264, 3436, 547, 331, 3116, 533, 1219, 632, 290, 770, 601, 329, 879, 6262, 271, 267, 524, 272, 267, 524, 273, 267, 512, 2567, 5727, 632, 290, 770, 601, 329, 879, 1599, 5727, 521, 815, 476, 272, 269, 271, 910, 512, 2132, 521, 2608, 630, 338, 2608, 524, 271, 1341, 512, 2608, 524, 272, 264, 1341, 512, 2608, 630, 338, 2608, 524, 272, 1341, 512, 2608, 524, 273, 264, 1219, 1535, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 2567, 2132, 632, 290, 770, 601, 329, 879, 263, 273, 267, 910, 279, 267, 476, 273, 267, 512, 264, 1219, 586, 3519, 557, 343, 14738, 13640, 629, 7637, 6025, 2567, 2132, 632, 290, 770, 601, 329, 879, 263, 272, 267, 476, 273, 267, 476, 274, 267, 512, 264, 1219, 17697, 318, 3225, 566, 3287, 267, 586, 2567, 2132, 476, 276, 2608, 1535, 1262, 273, 1341, 586, 910, 476, 276, 1219, 535, 6025, 2567, 5727, 31072, 540, 17877, 12980, 949, 2132, 7183, 13911, 593, 24492, 5727, 952, 1826, 6025, 264, 2652, 1826, 263, 14085, 2567, 2132, 6289, 2132, 17697, 318, 3225, 566, 3287, 3519, 557, 343, 29381, 13640, 629, 7637, 6025, 1070, 586, 3519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8740, 355, 14256, 369, 16733, 14256, 373, 8072, 263, 31915, 5788, 15855, 355, 4297, 815, 16733, 14256, 373, 31915, 264, 5788, 630, 14256, 373, 8740, 355, 4297, 31961, 630, 14256, 373, 8072, 263, 31915, 1341, 15855, 355, 4297, 18016, 16733, 14256, 373, 31915, 264, 1341, 630, 14256, 373, 8740, 355, 4297, 4297, 4297, 2020, 31628, 332, 529, 629, 341, 323, 1109, 4198, 5952, 265, 16544, 602, 3313, 606, 6207, 1871, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 4700, 630, 3725, 14876, 676, 631, 9222, 2961, 928, 10098, 267, 476, 275, 5937, 1815, 268, 1001, 275, 8094, 263, 5582, 506, 495, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 4297, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 4297, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 266, 815, 22791, 326, 8740, 483, 4297, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 6440, 815, 30285, 337, 8740, 483, 4297, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 271, 815, 630, 271, 326, 8740, 483, 4297, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 8740, 483, 17995, 23580, 264, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 14256, 373, 281, 14256, 369, 414, 509, 370, 11433, 507, 264, 6892, 1299, 1741, 1109, 263, 5582, 506, 495, 9890, 630, 14256, 373, 271, 3738, 815, 476, 271, 264, 6892, 1299, 1741, 1109, 9230, 5582, 506, 495, 31915, 14256, 369, 31915, 271, 3738, 9890, 476, 271, 2999, 630, 14256, 373, 31915, 4297, 6892, 1299, 1741, 1109, 9230, 5582, 506, 495, 31961, 630, 31915, 14256, 369, 31915, 271, 3738, 31961, 630, 8740, 355, 14256, 369, 8740, 355, 271, 3738, 264, 9890, 630, 14256, 373, 8072, 263, 31915, 5788, 15855, 355, 4297, 815, 16733, 14256, 373, 31915, 264, 5788, 630, 14256, 373, 8740, 355, 30727, 6892, 1299, 1741, 1109, 9230, 5582, 506, 495, 31961, 630, 31915, 14256, 369, 31915, 271, 3738, 31961, 630, 8740, 355, 14256, 369, 8740, 355, 271, 3738, 264, 9890, 630, 14256, 373, 8072, 263, 31915, 1341, 15855, 355, 4297, 18016, 16733, 14256, 373, 31915, 264, 1341, 630, 14256, 373, 8740, 355, 30727, 6892, 476, 1741, 1109, 263, 5582, 506, 495, 14256, 373, 14256, 368, 2020, 31628, 332, 629, 31918, 743, 1109, 4198, 10436, 681, 27654, 19479, 585, 519, 6207, 1871, 1305, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 476, 1741, 1109, 263, 14256, 373, 14256, 368, 8740, 483, 17995, 23580, 2020, 31628, 332, 629, 341, 325, 613, 271, 1109, 4198, 9262, 1323, 6207, 1871, 568, 513, 1599, 689, 519, 8258, 547, 519, 1875, 17463, 1483, 2338, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 476, 1741, 1109, 263, 14256, 373, 14256, 368, 14256, 373, 281, 14256, 369, 414, 509, 370, 263, 271, 314, 267, 11924, 31236, 11723, 31628, 332, 629, 341, 325, 1109, 4198, 6434, 1323, 6207, 1871, 568, 513, 1599, 689, 519, 8258, 547, 519, 1483, 2338, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 476, 1741, 1109, 263, 14256, 373, 14256, 368, 14256, 373, 281, 14256, 369, 414, 509, 370, 11433, 507, 2020, 31628, 332, 629, 341, 743, 1109, 4198, 8660, 1323, 6207, 1871, 568, 513, 1599, 689, 519, 8258, 547, 519, 1483, 2338, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 264, 9890, 630, 14256, 373, 8740, 489, 264, 17995, 21508, 507, 2020, 31628, 332, 629, 341, 613, 271, 1109, 4198, 3445, 634, 6207, 1871, 540, 513, 1297, 568, 3152, 982, 610, 3160, 547, 4642, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 264, 9890, 476, 271, 18016, 630, 14256, 373, 8740, 489, 11723, 31628, 332, 629, 557, 336, 271, 1109, 4198, 11011, 634, 1871, 540, 606, 6207, 1871, 568, 4642, 476, 858, 519, 4661, 568, 4642, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 271, 815, 630, 271, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 264, 9890, 16733, 14256, 373, 8740, 489, 264, 815, 476, 271, 7602, 498, 15855, 489, 815, 476, 271, 3738, 2020, 31628, 332, 629, 341, 928, 271, 1109, 4198, 10844, 634, 6207, 1871, 540, 513, 1875, 14706, 1297, 568, 1875, 14706, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 271, 815, 630, 271, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 8740, 489, 271, 3738, 9890, 630, 14256, 373, 8740, 489, 264, 9881, 510, 476, 271, 2020, 31628, 332, 629, 341, 25885, 271, 1109, 4198, 11152, 634, 6207, 1871, 540, 513, 1875, 14706, 1297, 568, 14553, 2318, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 271, 815, 630, 271, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 8740, 489, 271, 3738, 9890, 476, 271, 2999, 630, 14256, 373, 8740, 489, 11723, 31628, 332, 629, 341, 332, 592, 1109, 4198, 11463, 1323, 6207, 1871, 2733, 2373, 896, 8691, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 5788, 815, 30285, 337, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 8740, 490, 14256, 369, 264, 9890, 630, 14256, 373, 8072, 263, 8740, 489, 5788, 15855, 490, 4297, 815, 16733, 14256, 373, 8740, 489, 264, 5788, 630, 14256, 373, 8740, 490, 4297, 2020, 31628, 332, 629, 26404, 686, 1109, 4198, 4817, 1323, 6207, 1871, 25389, 519, 6906, 8635, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 1341, 815, 22791, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 8740, 490, 14256, 369, 264, 9890, 630, 14256, 373, 8072, 263, 8740, 489, 1341, 15855, 490, 4297, 18016, 16733, 14256, 373, 8740, 489, 264, 1341, 630, 14256, 373, 8740, 490, 4297, 2020, 31628, 332, 629, 341, 271, 1109, 4198, 9834, 634, 6207, 1871, 540, 4642, 568, 4642, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 271, 815, 630, 271, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 263, 14256, 373, 14256, 368, 9890, 630, 14256, 373, 271, 3738, 815, 476, 271, 2020, 31628, 332, 629, 341, 272, 345, 1109, 4198, 9032, 634, 6207, 1871, 540, 835, 568, 835, 538, 513, 1875, 2389, 337, 20190, 8258, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 272, 815, 630, 272, 337, 8740, 483, 264, 6892, 1299, 6892, 476, 271, 815, 630, 271, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 1015, 3738, 9890, 630, 14256, 373, 272, 3738, 815, 476, 272, 2020, 31628, 332, 629, 341, 272, 1109, 4198, 7176, 634, 6207, 1871, 540, 835, 568, 835, 538, 513, 6498, 8258, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 6892, 476, 272, 815, 630, 272, 337, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 8740, 483, 17995, 6555, 305, 532, 31961, 31977, 373, 14256, 368, 264, 9890, 630, 14256, 373, 272, 3738, 815, 476, 272, 2020, 31628, 332, 629, 341, 10864, 1109, 4198, 4200, 634, 6207, 1871, 540, 513, 2942, 568, 519, 1482, 607, 602, 540, 519, 2318, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 279, 4149, 788, 268, 1001, 275, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 8740, 479, 815, 630, 28717, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 264, 9890, 630, 14256, 373, 8072, 263, 8740, 479, 8740, 489, 4297, 815, 630, 14256, 373, 8740, 489, 11723, 31628, 332, 629, 341, 11357, 28256, 1109, 3422, 876, 1323, 6207, 1871, 25389, 519, 6906, 8635, 269, 630, 6944, 30744, 676, 631, 9222, 2961, 928, 10098, 267, 476, 275, 268, 12914, 268, 1001, 276, 8094, 14256, 368, 815, 630, 27028, 11749, 8072, 8740, 483, 264, 6892, 1299, 1741, 1109, 14256, 369, 815, 630, 26015, 8072, 8740, 483, 264, 6892, 1299, 6892, 815, 11196, 326, 8740, 483, 264, 6892, 476, 1741, 1109, 9230, 14256, 373, 14256, 368, 8740, 489, 14256, 369, 8740, 490, 14256, 369, 264, 9890, 630, 14256, 373, 8072, 263, 8740, 489, 15855, 490, 4297, 18016, 16733, 14256, 373, 8740, 489, 264, 1341, 630, 14256, 373, 8740, 490, 4297, 2020, 17273, 5903, 454, 297, 2794, 547, 2985, 281, 12937, 1109, 476, 272, 1109, 272, 268, 1911, 476, 273, 1109, 6200, 268, 1220, 476, 274, 1109, 1001, 268, 4968, 476, 275, 1109, 22145, 268, 6110, 476, 276, 1109, 25002, 268, 4335, 476, 277, 1109, 26341, 268, 7785, 476, 278, 1109, 31430, 268, 10384, 476, 279, 1109, 3583, 272, 268, 8517, 476, 280, 1109, 3199, 272, 268, 12010, 476, 1015, 1109, 3445, 272, 268, 1911, 271, 476, 1556, 1109, 1911, 272, 268, 8099, 271, 476, 1321, 1109, 8099, 272, 268, 6344, 271, 476, 1724, 1109, 6344, 272, 268, 9873, 271, 476, 1691, 1109, 9873, 272, 268, 9610, 271, 476, 1428, 1109, 9610, 272, 268, 5611, 271, 476, 1626, 1109, 5611, 272, 268, 8182, 271, 476, 1704, 1109, 8182, 272, 268, 10204, 271, 476, 1240, 1109, 10204, 272, 268, 5197, 271, 476, 866, 1109, 5197, 272, 268, 5002, 271, 476, 736, 1109, 5002, 272, 268, 1220, 271, 476, 2641, 1109, 1220, 272, 268, 13975, 271, 476, 2420, 1109, 13975, 272, 268, 13136, 271, 476, 2537, 1109, 13136, 272, 268, 15996, 271, 476, 2190, 1109, 15996, 272, 268, 13301, 271, 476, 1839, 1109, 13301, 272, 268, 7742, 271, 476, 2918, 1109, 7742, 272, 268, 18605, 271, 476, 2767, 1109, 18605, 272, 268, 17734, 271, 476, 2764, 1109, 17734, 272, 268, 18231, 271, 476, 3066, 1109, 18231, 272, 268, 23310, 271, 476, 1789, 1109, 23310, 272, 268, 4968, 271, 476, 4029, 1109, 4968, 272, 268, 20542, 271, 476, 3953, 1109, 20542, 272, 268, 17168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 8876, 782, 12204, 540, 5370, 7561, 543, 3533, 256, 2334, 779, 10502, 1018, 5949, 950, 16456, 338, 9450, 2066, 519, 2136, 2276, 269, 1358, 5532, 11397, 4872, 543, 10034, 267, 3850, 2200, 547, 1847, 811, 3362, 1063, 4525, 543, 1818, 621, 2009, 585, 1004, 547, 2951, 5488, 982, 2479, 1354, 780, 3719, 607, 8748, 607, 14884, 941, 267, 789, 849, 4843, 2591, 269, 1280, 1383, 267, 1114, 16456, 3549, 1419, 1185, 12721, 11507, 543, 16131, 269, 6884, 267, 1079, 14884, 2469, 538, 6587, 8846, 1522, 2743, 593, 519, 1482, 3950, 256, 1677, 2061, 10913, 267, 6837, 5293, 4031, 15725, 16749, 6808, 543, 3106, 269, 2290, 1271, 3609, 3964, 13387, 942, 10851, 2066, 519, 2197, 1107, 9811, 267, 1256, 1354, 16389, 543, 519, 4950, 256, 6969, 713, 7939, 267, 1142, 2749, 1305, 922, 1378, 2199, 942, 1759, 593, 519, 3141, 779, 2990, 269, 2052, 596, 4952, 3843, 547, 11282, 5721, 8977, 999, 543, 2855, 11040, 1210, 19421, 540, 8795, 2053, 286, 9208, 1944, 942, 1500, 20319, 1454, 4443, 543, 5280, 2327, 2922, 5721, 4238, 780, 2026, 649, 5018, 4505, 267, 7841, 1811, 4448, 1585, 2694, 540, 519, 4182, 267, 1519, 6917, 5599, 2950, 269, 1452, 4296, 4847, 19379, 547, 6494, 6151, 2326, 971, 607, 8988, 267, 4154, 267, 7601, 267, 543, 1291, 1394, 7532, 585, 5663, 269, 1717, 267, 713, 2799, 4123, 3366, 547, 13882, 1063, 2829, 3823, 21259, 2924, 269, 769, 3210, 267, 6837, 21892, 9086, 1572, 519, 15593, 2006, 4165, 527, 6412, 2920, 538, 476, 6245, 271, 269, 901, 1876, 15286, 1022, 2754, 689, 9013, 1932, 1454, 540, 606, 2872, 1369, 513, 1808, 3148, 269, 1635, 3257, 865, 267, 6735, 7283, 4023, 1851, 4213, 1247, 8716, 2804, 2208, 780, 4131, 781, 1413, 693, 1776, 4161, 5185, 1282, 1346, 2395, 1765, 3000, 641, 565, 2065, 2853, 269, 2368, 796, 2675, 14442, 592, 748, 1870, 5443, 8179, 1852, 936, 3003, 21018, 540, 13475, 267, 3056, 547, 15490, 14499, 543, 4389, 3028, 2298, 269, 1677, 4831, 713, 3390, 267, 6837, 2813, 519, 3955, 8063, 25642, 8189, 630, 2975, 290, 1070, 3743, 585, 15725, 954, 8063, 16450, 267, 5009, 8013, 6990, 267, 543, 4180, 6800, 941, 6870, 269, 7324, 824, 11645, 267, 519, 594, 6717, 16136, 1177, 26708, 3928, 267, 3908, 25641, 14499, 267, 543, 4824, 3106, 4441, 780, 3086, 1577, 781, 3142, 1919, 6251, 1753, 23121, 707, 8378, 256, 5994, 952, 972, 7012, 1405, 1697, 4058, 1472, 14335, 5721, 10473, 610, 4259, 909, 13475, 269, 1703, 1223, 581, 1761, 10898, 2282, 3506, 267, 11614, 267, 610, 10821, 2127, 269, 1924, 267, 2229, 8041, 5249, 7258, 4357, 3549, 547, 1020, 4808, 5466, 2244, 946, 543, 2825, 4145, 269, 3414, 6297, 4683, 4058, 267, 5721, 10473, 2968, 7740, 540, 2146, 2534, 2864, 982, 2959, 540, 8594, 610, 28842, 1466, 780, 3383, 1985, 942, 596, 1294, 606, 2025, 8523, 10023, 9252, 21525, 582, 1161, 669, 19982, 2059, 998, 4190, 8916, 267, 3314, 602, 3297, 1169, 3532, 3684, 6013, 513, 1950, 1062, 540, 3652, 543, 6042, 2966, 547, 1832, 721, 2922, 543, 3895, 13884, 269, 1656, 2141, 5660, 875, 18822, 649, 616, 2221, 547, 723, 6325, 6283, 1949, 8220, 938, 2413, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2304, 19877, 609, 454, 2304, 17327, 3778, 3812, 676, 454, 27144, 667, 269, 15966, 571, 1188, 523, 454, 19324, 1067, 531, 6767, 6019, 3778, 5741, 454, 19324, 1067, 531, 6767, 6019, 267, 21600, 454, 19324, 1067, 531, 6767, 6019, 3778, 5741, 454, 19324, 1067, 531, 6767, 6019, 8189, 619, 454, 763, 10507, 1067, 531, 6767, 6019, 3778, 5741, 630, 17248, 303, 264, 22851, 538, 5967, 532, 1004, 945, 666, 1683, 20250, 11673, 540, 519, 2043, 267, 2621, 267, 543, 4025, 602, 2285, 1686, 922, 6219, 269, 634, 2472, 540, 713, 1382, 616, 519, 19827, 540, 519, 11042, 543, 741, 13973, 687, 563, 763, 10507, 1067, 531, 6767, 6019, 8274, 540, 8189, 619, 15748, 519, 661, 6224, 303, 538, 476, 1960, 274, 538, 1931, 547, 2445, 1344, 593, 519, 5169, 267, 1686, 267, 5389, 267, 543, 2298, 540, 1272, 540, 10507, 1067, 531, 6767, 6019, 2950, 602, 949, 581, 12936, 676, 519, 4070, 540, 513, 1164, 7400, 6046, 3653, 23789, 4092, 693, 24204, 17433, 13738, 267, 7755, 334, 1456, 519, 21600, 4530, 13505, 538, 715, 6614, 6019, 269, 9282, 519, 23789, 814, 2943, 547, 581, 3710, 267, 519, 4557, 5711, 12583, 538, 713, 1895, 540, 11042, 941, 6976, 585, 676, 10315, 1395, 625, 4607, 538, 4276, 609, 519, 24204, 17433, 13738, 4674, 267, 799, 1775, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13138, 3198, 9915, 18306, 9569, 1315, 21805, 338, 1315, 3778, 1315, 21805, 19938, 543, 8889, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 28477, 26626, 4860, 11040, 538, 19565, 11470, 22383, 543, 18753, 26358, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 18912, 8941, 899, 595, 785, 699, 12848, 267, 12619, 532, 25925, 267, 610, 16176, 6519, 286, 1452, 2984, 723, 1044, 5143, 585, 7366, 540, 1296, 543, 616, 1634, 782, 936, 519, 1158, 256, 1809, 1705, 596, 917, 602, 930, 16805, 1004, 1491, 891, 5929, 12563, 8941, 543, 2285, 873, 1007, 1272, 676, 15268, 873, 883, 2413, 3029, 267, 899, 14676, 543, 8642, 9089, 286, 901, 1184, 568, 1572, 513, 834, 27714, 9661, 25954, 2437, 543, 621, 781, 1018, 649, 786, 2263, 1927, 538, 713, 4241, 3460, 2439, 6637, 476, 272, 281, 1548, 3657, 28477, 24079, 543, 4256, 11957, 2496, 293, 13083, 8941, 616, 2757, 2984, 5293, 1524, 689, 5108, 547, 5108, 1369, 513, 2146, 269, 1358, 1419, 4183, 9589, 7068, 267, 12703, 12325, 267, 543, 3407, 4245, 827, 11505, 267, 2648, 267, 543, 10100, 269, 1635, 5329, 891, 8941, 9800, 267, 2950, 2226, 741, 2189, 2686, 9163, 1247, 3450, 1271, 2418, 547, 7820, 5481, 780, 6637, 476, 273, 281, 1215, 3657, 28477, 24079, 9861, 4860, 1882, 4653, 2496, 3080, 1259, 12563, 8941, 2097, 1394, 547, 1272, 568, 950, 789, 616, 9862, 883, 1114, 12043, 267, 899, 14676, 543, 8642, 9089, 269, 20551, 543, 5830, 5368, 614, 13133, 891, 27825, 1210, 4207, 1148, 6163, 267, 1893, 267, 543, 4798, 267, 1818, 873, 11541, 547, 2221, 781, 3988, 269, 2368, 1256, 1711, 3312, 3197, 6273, 676, 18691, 5389, 2439, 6637, 476, 274, 281, 2558, 2088, 7605, 321, 1231, 910, 589, 27505, 518, 538, 21058, 23830, 692, 23871, 2088, 7605, 321, 1231, 568, 835, 7415, 1268, 945, 814, 3648, 12936, 875, 2021, 616, 6719, 538, 14676, 543, 8642, 3209, 14624, 540, 12563, 8941, 269, 2701, 3459, 1200, 4876, 2324, 593, 12326, 899, 519, 5101, 22810, 4033, 543, 2663, 8547, 519, 1101, 782, 2914, 1580, 13371, 1433, 267, 898, 589, 514, 1405, 2725, 267, 9040, 324, 1290, 1460, 269, 4173, 960, 21490, 519, 1259, 585, 811, 3309, 9739, 543, 5380, 538, 519, 2872, 780, 6637, 476, 275, 281, 3502, 26312, 18768, 543, 11511, 725, 692, 9961, 1200, 1279, 4876, 267, 15516, 269, 7605, 321, 1231, 814, 1500, 3875, 1713, 7418, 547, 519, 2361, 269, 7324, 1346, 616, 1384, 265, 3213, 268, 21551, 540, 519, 11599, 25303, 14539, 1915, 966, 2086, 790, 12848, 267, 4171, 1374, 14405, 6667, 689, 1585, 26704, 30632, 2231, 2429, 1686, 563, 265, 12861, 14624, 540, 1568, 676, 4589, 899, 29017, 30323, 1067, 543, 18000, 603, 10557, 267, 8744, 4195, 12496, 540, 741, 5929, 2984, 547, 1007, 9458, 563, 265, 5675, 543, 5373, 27190, 344, 267, 15386, 3532, 5869, 1149, 543, 16750, 2609, 24188, 540, 12563, 8941, 780, 6637, 476, 276, 281, 4208, 9701, 1284, 5516, 6168, 28477, 26626, 4860, 11040, 2496, 3528, 3695, 875, 15888, 899, 2558, 2088, 7605, 321, 1231, 3142, 5929, 12563, 8941, 1394, 547, 1272, 267, 649, 1451, 827, 519, 1379, 540, 9542, 543, 5876, 269, 5047, 267, 649, 3605, 2081, 538, 799, 938, 5172, 2984, 666, 11457, 609, 721, 543, 3136, 11121, 2104, 5481, 780, 6962, 1384, 1607, 1576, 1770, 6322, 547, 6338, 596, 547, 519, 1523, 540, 12563, 9661, 2847, 11040, 538, 11174, 5708, 14676, 543, 8642, 9089, 269, 3414, 1620, 519, 2956, 540, 8497, 2757, 2984, 543, 19825, 5499, 4485, 3144, 676, 3860, 2043, 899, 2558, 2088, 7605, 321, 1231, 267, 649, 4126, 707, 7279, 827, 713, 9135, 814, 8141, 1194, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7343, 8960, 11016, 267, 14349, 543, 10732, 2336, 21659, 321, 1231, 685, 1101, 14676, 941, 9102, 538, 519, 5101, 22810, 4033, 282, 1352, 849, 8329, 547, 519, 8095, 11325, 11895, 13371, 20096, 2349, 11069, 3718, 563, 1103, 476, 3192, 271, 7605, 321, 1231, 2451, 1715, 3840, 585, 5842, 12770, 267, 1141, 1352, 5249, 693, 519, 15594, 11895, 11356, 898, 589, 514, 1406, 2725, 267, 9040, 324, 269, 2334, 1482, 1032, 1352, 3964, 519, 1101, 782, 2914, 2674, 13371, 1433, 267, 519, 3283, 14653, 898, 589, 514, 1406, 2725, 267, 9040, 324, 1290, 1460, 269, 3245, 713, 1974, 593, 267, 7605, 321, 1231, 2968, 5051, 3238, 538, 2870, 454, 719, 7410, 585, 543, 5009, 4775, 14676, 5159, 267, 998, 3785, 971, 607, 519, 14676, 16320, 1108, 654, 574, 5443, 779, 1290, 1460, 267, 609, 799, 1352, 729, 3238, 585, 8938, 1296, 563, 21659, 321, 1231, 729, 7376, 1071, 2275, 805, 528, 540, 519, 25303, 14539, 1915, 966, 2086, 790, 12848, 267, 8888, 1200, 28076, 543, 4552, 585, 5856, 1280, 6135, 808, 269, 25532, 9007, 779, 1650, 968, 309, 2086, 790, 12848, 540, 19537, 1529, 7431, 892, 538, 966, 2086, 790, 12848, 1948, 272, 630, 5353, 696, 269, 476, 3422, 280, 1916, 1103, 519, 2038, 476, 2735, 271, 338, 7605, 321, 1231, 2813, 14624, 540, 29017, 30323, 1067, 779, 667, 2100, 543, 18000, 603, 10557, 779, 634, 18234, 19045, 700, 1478, 269, 769, 519, 4571, 268, 2735, 271, 338, 1352, 5206, 543, 16668, 27190, 344, 585, 519, 31733, 1290, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 13083, 26626, 4860, 11040, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 25839, 29675, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 594, 3314, 950, 1250, 2319, 543, 594, 941, 3384, 938, 967, 773, 3014, 267, 834, 294, 984, 4802, 717, 592, 577, 2437, 649, 10443, 883, 3833, 513, 1906, 2152, 602, 2838, 3573, 1627, 288, 4152, 269, 1284, 941, 513, 1507, 1895, 540, 2828, 945, 1185, 2141, 1044, 13730, 827, 11080, 267, 543, 1310, 1296, 540, 2182, 960, 267, 649, 6368, 3893, 519, 4960, 547, 1711, 835, 6000, 269, 9741, 1705, 649, 917, 1175, 875, 1454, 1627, 288, 4152, 1131, 1831, 606, 7533, 851, 540, 938, 3460, 780, 3080, 1880, 3390, 602, 2501, 547, 2247, 729, 1644, 547, 13395, 4690, 910, 1945, 1360, 2673, 547, 938, 12271, 269, 1306, 11655, 540, 2025, 17469, 1448, 7146, 26487, 7045, 3756, 267, 649, 4941, 547, 6451, 1950, 13410, 883, 834, 294, 984, 4802, 717, 592, 577, 1701, 1717, 267, 891, 6946, 2591, 3366, 547, 27644, 8374, 269, 3776, 512, 22246, 4362, 3875, 8320, 1141, 5716, 1223, 1205, 12758, 1813, 547, 2192, 16479, 11015, 11144, 610, 13385, 23456, 269, 898, 3576, 9118, 3108, 540, 3181, 19982, 543, 2699, 30472, 532, 1354, 649, 7307, 547, 10880, 513, 10347, 3666, 1063, 7411, 543, 1404, 1464, 269, 769, 24794, 1051, 267, 621, 1500, 721, 8275, 519, 2956, 540, 4509, 10333, 1510, 18731, 593, 3178, 1107, 2523, 950, 23695, 547, 513, 1167, 518, 940, 5304, 780, 5194, 12300, 10071, 3238, 606, 6397, 4729, 6335, 602, 2451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20005, 14302, 269, 5269, 2386, 711, 547, 29424, 883, 4376, 610, 4896, 1472, 596, 563, 273, 269, 12414, 593, 519, 31316, 564, 676, 15914, 519, 6023, 29628, 2394, 1216, 6238, 13576, 856, 269, 17797, 519, 2837, 547, 513, 6899, 1377, 1210, 519, 3905, 543, 4411, 20362, 563, 274, 269, 9255, 1312, 3946, 896, 4881, 1216, 267, 1818, 2386, 789, 2811, 4628, 24760, 563, 275, 269, 15233, 12853, 547, 707, 3946, 676, 17065, 4506, 513, 1507, 2179, 5196, 707, 27374, 269, 11676, 707, 3946, 1927, 547, 1711, 561, 1430, 563, 276, 269, 2480, 13041, 707, 3003, 1688, 1858, 267, 1519, 11263, 267, 21389, 1235, 267, 543, 2062, 15767, 267, 585, 827, 476, 736, 7643, 269, 9796, 2027, 3007, 547, 2127, 1063, 11263, 543, 896, 18969, 563, 277, 269, 681, 20600, 1055, 12853, 4625, 676, 11093, 3946, 1394, 896, 4881, 1216, 563, 278, 269, 16959, 707, 3946, 8499, 1210, 513, 24621, 269, 15579, 519, 24621, 609, 835, 1688, 543, 9900, 6299, 707, 824, 1688, 1996, 621, 267, 1287, 6467, 5011, 780, 1262, 3721, 476, 273, 281, 16259, 519, 28981, 8274, 630, 276, 3764, 21143, 272, 269, 700, 11229, 519, 5969, 4604, 593, 513, 2973, 267, 7123, 2627, 971, 607, 513, 4831, 9008, 610, 3349, 563, 273, 269, 28018, 519, 5969, 4604, 585, 1022, 11935, 610, 21225, 269, 1403, 18660, 267, 26763, 621, 2973, 609, 1957, 28734, 563, 274, 269, 19024, 3054, 20354, 2282, 519, 5969, 4604, 267, 7555, 610, 9361, 609, 1434, 14302, 780, 1262, 3721, 476, 274, 281, 17179, 13268, 1645, 630, 604, 10858, 264, 543, 681, 20600, 20363, 8606, 2280, 630, 276, 3764, 21143, 272, 269, 6744, 952, 707, 13687, 2083, 2280, 2501, 20386, 538, 11183, 1570, 899, 5068, 16833, 610, 11956, 23240, 269, 1403, 9811, 267, 5402, 4894, 519, 28277, 676, 890, 9934, 621, 2476, 689, 519, 3165, 563, 273, 269, 15579, 519, 13687, 2083, 2280, 936, 519, 16173, 267, 4180, 707, 3946, 616, 18172, 17680, 6137, 519, 3165, 563, 274, 269, 14840, 4411, 7148, 1216, 936, 519, 13687, 2083, 2280, 547, 27125, 1055, 1022, 23606, 610, 4430, 7509, 780, 1262, 3721, 476, 275, 281, 4793, 16959, 20363, 8606, 2280, 630, 273, 3764, 21143, 272, 269, 28528, 1747, 519, 32092, 539, 13687, 2083, 2280, 5196, 519, 5423, 5969, 4604, 563, 273, 269, 6875, 513, 1906, 1957, 28734, 543, 1025, 582, 519, 13687, 2083, 2280, 547, 4894, 4430, 7509, 269, 4964, 519, 1957, 28734, 21066, 855, 16119, 5196, 519, 3165, 267, 2324, 707, 1259, 2066, 922, 2627, 780, 1262, 3721, 476, 276, 281, 10576, 543, 9484, 26147, 20363, 16164, 630, 276, 3764, 21143, 272, 269, 25826, 519, 13687, 2083, 2280, 5702, 547, 12398, 519, 2960, 2427, 269, 634, 2960, 3335, 5526, 18632, 543, 811, 32630, 3379, 547, 519, 17145, 563, 273, 269, 15579, 519, 17180, 693, 513, 13581, 5086, 267, 609, 519, 16405, 6849, 519, 4287, 596, 1616, 519, 2960, 547, 5094, 563, 274, 269, 28392, 7696, 519, 9133, 540, 519, 17180, 1063, 519, 2960, 543, 17145, 267, 4358, 689, 835, 1439, 540, 519, 2083, 2280, 563, 275, 269, 20405, 569, 543, 12347, 13472, 519, 17180, 2059, 519, 3259, 540, 519, 2083, 2280, 267, 7311, 9543, 2604, 267, 547, 5094, 519, 2960, 689, 519, 17145, 563, 276, 269, 15566, 19459, 519, 2960, 2394, 596, 4312, 6569, 621, 7357, 689, 519, 17145, 780, 1262, 3721, 476, 277, 281, 12338, 20363, 16164, 883, 28509, 762, 26629, 806, 630, 276, 3764, 21143, 272, 269, 20233, 519, 9674, 13687, 2960, 6366, 593, 519, 5969, 4604, 267, 2960, 20933, 909, 563, 273, 269, 15579, 519, 17180, 19794, 1657, 519, 2960, 267, 17568, 519, 16405, 1141, 596, 9364, 899, 547, 2759, 563, 274, 269, 6215, 823, 519, 13687, 2960, 883, 4130, 4773, 267, 5111, 476, 272, 20878, 2647, 17446, 610, 10945, 267, 4470, 593, 707, 5551, 2450, 563, 275, 269, 28081, 519, 2759, 2960, 4773, 593, 513, 6676, 610, 26745, 267, 6028, 2230, 1063, 873, 585, 2653, 7829, 780, 23558, 256, 1411, 723, 1631, 6707, 5423, 707, 13687, 2960, 585, 2417, 5986, 610, 4005, 532, 269, 5457, 547, 2141, 4225, 27194, 543, 3106, 950, 7829, 1426, 543, 10051, 2645, 780, 8923, 8399, 547, 519, 1985, 11600, 610, 6044, 1305, 585, 5583, 593, 875, 547, 3434, 543, 4005, 707, 5423, 13687, 2960, 269, 8414, 5986, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7093, 6768, 20363, 16164, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 6092, 5149, 281, 7849, 12754, 4521, 910, 25115, 2274, 2084, 692, 7072, 1384, 2026, 7239, 3136, 547, 4434, 1099, 10999, 543, 17215, 267, 519, 3747, 585, 2067, 2200, 971, 607, 6886, 5170, 547, 2333, 269, 901, 7678, 814, 3366, 547, 2799, 6735, 585, 891, 2200, 267, 4611, 538, 7526, 1063, 1114, 8639, 269, 2290, 1259, 540, 5883, 713, 6735, 568, 998, 7777, 682, 2084, 267, 799, 3322, 26587, 12600, 2924, 547, 2263, 543, 17908, 6886, 1369, 513, 2016, 1858, 585, 513, 9138, 1974, 269, 901, 1576, 1770, 7710, 519, 3656, 5943, 12044, 7777, 682, 2084, 267, 9878, 1880, 3007, 547, 4683, 4058, 267, 2825, 5726, 267, 543, 2146, 7589, 780, 14737, 1968, 7126, 543, 13574, 11429, 1384, 6524, 18167, 883, 7777, 682, 2084, 267, 621, 568, 1898, 547, 1174, 519, 1523, 540, 7777, 2924, 543, 9562, 269, 769, 1034, 22875, 267, 7777, 2924, 3277, 547, 519, 1318, 547, 2263, 267, 9553, 267, 543, 6133, 6886, 1336, 9944, 519, 2627, 540, 519, 3618, 269, 1452, 2924, 666, 581, 11262, 676, 4357, 2043, 267, 14078, 267, 610, 2229, 9988, 269, 634, 9562, 540, 7777, 2924, 11887, 945, 814, 519, 6392, 547, 25755, 5599, 2924, 543, 896, 1018, 2175, 780, 31413, 12020, 543, 25115, 2274, 2084, 1384, 31413, 4058, 4249, 513, 2565, 1909, 538, 15725, 7777, 682, 2084, 2238, 269, 1773, 22395, 991, 547, 2327, 602, 5599, 4238, 798, 711, 15936, 609, 4540, 2244, 946, 3270, 267, 10460, 1072, 543, 3106, 4220, 547, 7404, 7264, 267, 610, 1267, 538, 2825, 12159, 269, 1677, 3035, 891, 6859, 267, 24990, 949, 20818, 1990, 11238, 9993, 602, 3970, 1141, 5599, 2238, 666, 1491, 1747, 269, 1280, 1383, 267, 789, 949, 10238, 527, 5599, 2282, 10821, 2127, 267, 3506, 267, 10506, 267, 610, 1216, 2959, 269, 1358, 949, 849, 2154, 5599, 3549, 547, 15666, 547, 7453, 2679, 9479, 543, 1374, 4441, 547, 7413, 741, 1764, 593, 11105, 3601, 780, 1103, 2259, 267, 2705, 267, 30191, 891, 6042, 666, 581, 4101, 1813, 547, 12721, 4690, 1851, 1585, 8639, 269, 1306, 2938, 538, 519, 6679, 1349, 267, 930, 2950, 723, 6659, 4145, 827, 519, 14305, 540, 3039, 3118, 5624, 543, 1102, 1571, 585, 5599, 5301, 269, 6270, 782, 23148, 24183, 4683, 4058, 3646, 6322, 693, 2870, 4264, 543, 561, 22133, 4872, 269, 4475, 267, 14519, 1590, 10880, 513, 3666, 1063, 5009, 2804, 1646, 543, 7863, 1857, 10304, 780, 20245, 11094, 543, 25115, 2274, 2084, 1384, 300, 1456, 2238, 666, 3648, 1860, 519, 1604, 269, 1280, 3236, 267, 789, 666, 1291, 547, 3037, 11761, 267, 17717, 267, 2011, 5533, 267, 543, 12526, 540, 15780, 7727, 269, 9182, 267, 6608, 1472, 519, 1158, 723, 8045, 4031, 543, 6042, 6322, 693, 19086, 891, 5222, 269, 1452, 3800, 1419, 4125, 8506, 5599, 3549, 547, 3489, 14998, 1354, 862, 9760, 4238, 267, 16783, 609, 1655, 2359, 2853, 267, 11177, 22841, 4609, 1310, 12032, 267, 543, 2628, 22717, 585, 1875, 1260, 20869, 780, 8601, 891, 3646, 267, 1082, 2591, 2611, 269, 2368, 5599, 3549, 4497, 538, 10363, 2238, 267, 971, 607, 5665, 1510, 14998, 610, 23630, 17101, 2504, 2157, 269, 11524, 3111, 547, 2936, 7850, 556, 17474, 4566, 267, 6028, 3297, 3046, 1066, 8916, 602, 2800, 2199, 8134, 269, 5047, 267, 9431, 8041, 3743, 585, 5464, 10220, 1419, 3668, 6190, 2200, 543, 6791, 547, 17997, 2825, 4031, 3927, 780, 26322, 30880, 543, 25115, 2274, 2084, 1384, 7661, 267, 621, 568, 2629, 547, 5431, 519, 2956, 540, 2146, 7589, 538, 7777, 682, 2084, 3664, 269, 18877, 2713, 2282, 5599, 4238, 3068, 1713, 1514, 267, 2686, 267, 543, 2804, 4539, 269, 4935, 267, 2502, 873, 2038, 538, 519, 3375, 6194, 1184, 5849, 602, 741, 4145, 616, 9619, 267, 3056, 547, 1732, 4093, 780, 19931, 6278, 3340, 811, 982, 6071, 15360, 282, 621, 14122, 16779, 2950, 547, 7119, 4628, 538, 782, 3344, 540, 7777, 682, 2084, 269, 901, 2882, 4687, 4143, 1344, 267, 3246, 3255, 585, 6209, 3403, 267, 543, 4180, 11413, 2429, 519, 1184, 269, 898, 849, 1797, 9301, 543, 18245, 7087, 9082, 262, 2924, 543, 5389, 950, 27410, 7777, 682, 1162, 593, 2757, 3338, 780, 6962, 1384, 14737, 1968, 682, 2084, 3788, 606, 1271, 1907, 585, 19713, 2067, 4199, 5763, 1247, 13326, 12721, 2115, 269, 4197, 519, 3656, 5943, 12044, 7777, 682, 2084, 568, 2556, 585, 3384, 2500, 4507, 602, 3895, 6940, 267, 9698, 267, 543, 12477, 269, 1635, 6220, 3741, 540, 4683, 4058, 267, 2825, 5726, 267, 543, 2146, 7589, 267, 6608, 666, 1711, 7175, 5054, 602, 6536, 2318, 3347, 1063, 5599, 12427, 543, 4299, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 8281, 476, 15686, 454, 268, 11711, 12025, 476, 6872, 274, 269, 866, 22995, 454, 268, 11711, 4032, 476, 272, 454, 268, 8073, 11261, 5412, 476, 1428, 267, 476, 1708, 273, 454, 268, 7831, 21213, 5412, 476, 1428, 267, 476, 1708, 273, 454, 2793, 3582, 3201, 6789, 306, 4932, 13993, 312, 670, 23177, 19181, 476, 1428, 667, 4488, 4932, 21612, 476, 1708, 273, 966, 5357, 476, 5392, 12971, 476, 279, 454, 303, 2752, 299, 296, 4456, 7728, 5508, 2098, 8379, 289, 5723, 25446, 454, 32637, 267, 476, 1428, 628, 5412, 267, 476, 1708, 273, 454, 763, 2817, 13909, 1558, 693, 513, 22588, 1790, 770, 5565, 744, 685, 22018, 533, 6230, 563, 263, 15578, 670, 2177, 269, 9501, 12788, 298, 2207, 538, 519, 17348, 994, 295, 2177, 269, 631, 4456, 6865, 23813, 281, 11289, 596, 1360, 1454, 6004, 269, 29150, 11184, 267, 585, 3850, 803, 547, 6318, 513, 1448, 540, 929, 2753, 8354, 269, 12968, 269, 29150, 267, 594, 993, 14126, 827, 519, 23304, 731, 540, 519, 12124, 6076, 15078, 2920, 538, 938, 2950, 269, 12968, 269, 29150, 267, 972, 568, 606, 10363, 25487, 532, 540, 519, 796, 997, 10642, 8027, 543, 3889, 1217, 958, 9709, 1016, 31755, 269, 2986, 3735, 267, 2244, 814, 1044, 21248, 593, 3039, 3118, 5624, 543, 1102, 1571, 269, 3733, 11755, 2221, 568, 602, 2950, 899, 631, 8475, 516, 793, 538, 4498, 732, 4639, 543, 849, 824, 2127, 899, 21582, 323, 787, 5244, 538, 10089, 12537, 334, 616, 1373, 22983, 563, 296, 1616, 547, 7281, 602, 519, 12968, 269, 10579, 540, 10871, 6554, 1058, 2097, 543, 2285, 513, 10018, 602, 519, 14305, 540, 3039, 3118, 5624, 543, 1102, 1571, 1590, 3247, 543, 602, 519, 2244, 602, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 7849, 8249, 1315, 25115, 2274, 2084, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4590, 2018, 1582, 4732, 754, 318, 935, 18030, 17750, 318, 1150, 591, 30800, 825, 1219, 1205, 5334, 12714, 4311, 2187, 1038, 2119, 912, 2018, 1582, 4732, 12714, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 994, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 14827, 10797, 825, 1219, 1921, 15461, 5334, 13996, 4311, 2187, 1038, 2119, 912, 2018, 1582, 4732, 12714, 269, 6618, 9230, 306, 13996, 269, 9816, 4306, 2793, 10933, 267, 18218, 10422, 18306, 4917, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 14827, 10797, 825, 1219, 23094, 318, 13440, 341, 15481, 4311, 267, 3259, 2187, 1038, 25466, 815, 1582, 4732, 12714, 269, 13440, 341, 10857, 2654, 994, 1038, 952, 7003, 263, 2421, 5052, 264, 2999, 3259, 912, 2018, 1582, 4732, 12714, 25379, 4590, 2018, 14827, 4590, 1038, 2132, 263, 2421, 5052, 994, 8931, 825, 1219, 1205, 318, 935, 18030, 17750, 4311, 2187, 1038, 1948, 769, 713, 4528, 649, 1832, 20872, 519, 3593, 2394, 513, 1875, 15918, 1678, 454, 1038, 1948, 1899, 568, 9411, 563, 1038, 1247, 6936, 912, 2018, 1820, 28361, 333, 262, 22065, 265, 262, 265, 2004, 994, 2018, 1582, 269, 6358, 26748, 815, 3403, 2891, 734, 263, 2675, 534, 267, 1921, 267, 561, 4289, 267, 678, 4289, 267, 2322, 267, 1205, 264, 734, 315, 333, 9373, 16710, 281, 19515, 2018, 2119, 912, 4449, 8931, 3546, 952, 630, 1345, 269, 6358, 26748, 2652, 834, 2675, 534, 257, 2187, 7386, 1582, 4732, 16291, 318, 4134, 11734, 4590, 4449, 8931, 3546, 8640, 630, 1345, 269, 6358, 26748, 21858, 3890, 314, 271, 316, 2652, 834, 1326, 257, 2187, 7386, 952, 12759, 4311, 269, 6358, 26748, 21858, 28829, 283, 273, 2187, 13376, 1820, 3488, 7728, 2207, 11123, 21316, 281, 1205, 2999, 16344, 17575, 285, 5073, 13376, 2736, 692, 7386, 30321, 26748, 815, 1582, 269, 6358, 26748, 21858, 3890, 314, 272, 316, 3097, 7386, 952, 630, 325, 21255, 26748, 711, 538, 18218, 269, 3918, 300, 5588, 292, 318, 293, 11223, 318, 2793, 300, 2464, 2187, 13376, 1820, 3488, 17572, 711, 538, 6552, 674, 16256, 256, 5073, 13376, 2736, 454, 7386, 1582, 10947, 18316, 6600, 21255, 26748, 2020, 3546, 8640, 4311, 269, 6358, 26748, 21858, 3890, 314, 271, 316, 2652, 834, 6618, 8442, 1384, 7386, 1948, 952, 12759, 4311, 269, 6358, 26748, 21858, 28829, 283, 274, 2187, 7386, 1948, 672, 1820, 3488, 7728, 2207, 11123, 21316, 281, 1921, 2999, 7709, 4696, 11403, 285, 2999, 303, 18306, 285, 5073, 7386, 1948, 672, 2736, 454, 7386, 1948, 8640, 630, 1345, 269, 6358, 26748, 21858, 3890, 314, 272, 316, 11203, 18218, 269, 9816, 4306, 2793, 10933, 2187, 7386, 1948, 672, 1820, 3488, 2562, 309, 3201, 2839, 7379, 5084, 11403, 8577, 13673, 9898, 3633, 5073, 7386, 1948, 672, 2736, 454, 7386, 1948, 8640, 630, 842, 4311, 269, 6358, 26748, 21858, 3890, 314, 273, 8079, 476, 11203, 18218, 10422, 18306, 2187, 7386, 1948, 672, 1820, 3488, 2562, 309, 3201, 2839, 623, 18306, 13673, 9898, 3633, 5073, 7386, 1948, 672, 2736, 454, 7386, 1582, 269, 8588, 815, 476, 272, 454, 7386, 1582, 6745, 31983, 318, 28947, 4590, 4449, 454, 3546, 8640, 630, 1345, 269, 6358, 26748, 21858, 3890, 314, 271, 316, 2652, 834, 1584, 257, 2187, 7386, 952, 12759, 4311, 269, 6358, 26748, 21858, 28829, 283, 273, 2187, 13376, 1820, 3488, 7728, 2207, 11123, 21316, 281, 2322, 2999, 16344, 17575, 285, 5073, 13376, 2736, 692, 7386, 14202, 26748, 815, 1582, 269, 6358, 26748, 21858, 3890, 314, 272, 316, 3097, 7386, 952, 630, 340, 22744, 26748, 711, 538, 1849, 1304, 11482, 8016, 3201, 318, 293, 11223, 318, 2793, 300, 2464, 2187, 13376, 1820, 3488, 17572, 711, 538, 2199, 15682, 256, 5073, 13376, 2736, 454, 7386, 1582, 269, 1584, 18316, 26086, 22744, 26748, 994, 4449, 454, 3546, 8640, 4311, 269, 6358, 26748, 2652, 834, 961, 626, 257, 2187, 7386, 1582, 31428, 26222, 293, 3796, 10797, 3546, 8640, 4311, 269, 6358, 26748, 2652, 834, 337, 4289, 257, 2187, 7386, 1582, 269, 8145, 1774, 8217, 4590, 4449, 454, 3546, 8640, 4311, 269, 6358, 26748, 2652, 262, 25742, 262, 2187, 7386, 1582, 269, 25742, 4590, 4449, 454, 3546, 8640, 4311, 269, 6358, 26748, 711, 538, 595, 13270, 269, 12399, 3890, 2187, 7386, 1820, 3488, 4596, 12613, 13263, 10691, 23414, 8104, 301, 22003, 3633, 5073, 7386, 2736, 692, 3546, 952, 1582, 269, 6358, 26748, 11203, 834, 13426, 7386, 2736, 692, 2018, 4849, 12039, 13286, 281, 1948, 1100, 4971, 9411, 454, 3546, 2736, 692, 825, 1219, 676, 324, 4311, 2187, 1038, 1948, 6460, 676, 324, 538, 12981, 547, 25466, 543, 6494, 547, 7746, 454, 1038, 676, 324, 6958, 1752, 815, 595, 13270, 14277, 25742, 257, 4940, 1729, 318, 2421, 5052, 18154, 13270, 318, 293, 296, 5085, 291, 318, 299, 2894, 267, 31632, 4650, 8782, 15927, 5073, 1038, 1582, 4732, 12714, 4732, 754, 718, 263, 25742, 6958, 1752, 2020, 1038, 1820, 3488, 12710, 5308, 5058, 12164, 301, 4488, 3582, 5073, 1038, 1582, 269, 8588, 815, 476, 271, 454, 1038, 1948, 2673, 7817, 23094, 454, 1038, 1582, 4732, 12714, 25379, 4590, 1038, 19523, 20216, 527, 263, 272, 994, 672, 7531, 825, 1948, 590, 27263, 21201, 20591, 4596, 23615, 312, 454, 825, 1219, 3028, 318, 4134, 11734, 4311, 2187, 1038, 1582, 10947, 5334, 12714, 318, 644, 335, 4590, 1038, 1582, 31892, 534, 318, 1721, 5334, 16291, 10797, 825, 1219, 1205, 5334, 12714, 318, 644, 335, 4311, 2187, 1038, 2119, 912, 2018, 1948, 6796, 6602, 2944, 1210, 772, 7894, 21168, 563, 2018, 1582, 4732, 12714, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 2018, 1582, 4732, 12714, 4732, 1115, 1442, 9953, 4433, 12714, 2529, 5357, 318, 306, 8016, 298, 4953, 267, 23094, 2529, 302, 318, 3918, 27516, 4696, 11403, 267, 476, 272, 2020, 2018, 1948, 28081, 547, 6494, 513, 13739, 3028, 6602, 17142, 563, 2018, 1582, 4732, 12714, 4732, 1115, 1442, 9953, 4433, 12714, 2529, 5357, 318, 306, 8016, 298, 4953, 267, 23094, 2529, 302, 29758, 4629, 4696, 290, 17129, 267, 476, 272, 2020, 2018, 1948, 5590, 519, 23094, 585, 513, 23094, 28333, 719, 952, 513, 17655, 973, 341, 454, 2018, 1948, 14543, 563, 2018, 1582, 4732, 12714, 15630, 5503, 719, 263, 5141, 1304, 2529, 290, 3198, 318, 2316, 10933, 27345, 11850, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 19523, 20216, 527, 263, 272, 2020, 825, 1219, 11571, 318, 1721, 5334, 16291, 4311, 2187, 1038, 1948, 11814, 938, 11571, 2164, 538, 513, 1592, 563, 1038, 11571, 318, 29798, 815, 11713, 1038, 14662, 3198, 318, 290, 13270, 815, 834, 17092, 3198, 4840, 1038, 14662, 3198, 318, 290, 13270, 318, 2894, 4596, 291, 3633, 815, 14662, 3198, 318, 290, 13270, 269, 523, 13892, 263, 5960, 294, 318, 2894, 4596, 291, 5058, 994, 1038, 1948, 19244, 519, 11571, 5650, 513, 1095, 564, 1297, 540, 2053, 563, 1038, 585, 1775, 538, 2039, 263, 5141, 1304, 2529, 290, 3198, 318, 290, 312, 12710, 2464, 17107, 2018, 1948, 27189, 513, 3028, 6602, 13739, 563, 2018, 1820, 2891, 306, 2056, 13739, 11571, 15079, 2668, 8971, 9217, 4297, 27030, 2018, 1582, 4732, 12714, 4732, 754, 1729, 263, 17092, 3198, 318, 290, 13270, 318, 2894, 4596, 291, 3633, 267, 1849, 1304, 11065, 4629, 4696, 290, 17129, 318, 4696, 11403, 8577, 318, 303, 18306, 994, 13872, 2018, 1247, 6936, 912, 3546, 1948, 19415, 585, 3028, 6114, 269, 1924, 1279, 607, 649, 1832, 454, 3546, 1948, 8391, 6114, 267, 1832, 2469, 269, 5384, 719, 952, 9039, 616, 454, 3546, 1948, 4607, 543, 2165, 3729, 519, 6947, 585, 713, 11571, 454, 3546, 1948, 4783, 563, 3546, 2119, 912, 7386, 973, 341, 323, 318, 2421, 5052, 267, 2232, 815, 1582, 4732, 12714, 269, 13440, 341, 5228, 263, 5141, 1304, 269, 3918, 20302, 318, 10485, 30438, 318, 16256, 994, 7386, 973, 341, 323, 318, 916, 326, 815, 973, 341, 323, 318, 2421, 5052, 19709, 13892, 263, 5960, 294, 318, 2894, 4596, 291, 5058, 2020, 7386, 1948, 16680, 1152, 2189, 2533, 602, 616, 1336, 563, 7386, 952, 630, 13440, 341, 323, 318, 916, 326, 267, 2232, 264, 711, 538, 11571, 318, 29798, 912, 13376, 11571, 318, 29798, 6910, 9230, 13440, 341, 323, 318, 916, 326, 267, 2232, 4917, 13376, 3136, 454, 3546, 1948, 1403, 649, 942, 719, 6947, 585, 513, 1007, 3210, 267, 649, 616, 454, 3546, 1948, 8737, 563, 3546, 4849, 23094, 28333, 719, 912, 7386, 2736, 692, 1038, 1948, 19243, 782, 540, 938, 11571, 2164, 267, 952, 1022, 563, 1038, 952, 11571, 318, 29798, 912, 2018, 585, 1267, 538, 11571, 318, 29798, 912, 3546, 1820, 31114, 994, 1038, 3116, 912, 2018, 1820, 2891, 5591, 2533, 1336, 1701, 9239, 8931, 825, 1219, 6494, 318, 935, 18030, 17750, 318, 1150, 591, 4311, 2187, 1038, 1247, 6936, 912, 2018, 2119, 912, 3546, 1582, 10947, 318, 935, 18030, 17750, 4590, 3546, 1948, 1582, 26769, 3825, 5334, 754, 4590, 3546, 1948, 1582, 26769, 3825, 23631, 576, 633, 4590, 2018, 4849, 630, 7659, 4580, 11328, 4533, 267, 661, 29996, 13286, 2187, 3546, 1820, 4590, 3546, 1820, 2891, 5141, 3151, 7746, 4276, 10371, 23528, 3546, 1582, 4732, 12714, 25379, 4590, 3546, 19523, 20216, 527, 263, 272, 2020, 825, 1219, 4276, 5334, 754, 4311, 2187, 1038, 2119, 912, 2018, 1948, 27189, 5569, 3615, 936, 519, 4276, 269, 634, 5569, 1590, 454, 2018, 1948, 581, 23876, 883, 25466, 3615, 1101, 563, 2018, 1582, 4732, 12714, 4732, 754, 718, 4311, 269, 6358, 26748, 269, 523, 13892, 22829, 13996, 269, 5960, 294, 318, 2894, 4596, 291, 5058, 4917, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 19523, 20216, 527, 263, 272, 2020, 825, 1219, 4276, 23631, 576, 633, 4311, 2187, 1038, 2119, 912, 2018, 1948, 25547, 633, 543, 1820, 856, 1257, 269, 634, 4607, 25466, 3615, 454, 2018, 1948, 1590, 581, 1232, 10757, 883, 5569, 3615, 563, 2018, 973, 341, 323, 318, 2421, 5052, 815, 1582, 4732, 12714, 269, 13440, 341, 263, 5141, 1304, 269, 3918, 20302, 29758, 308, 13697, 2207, 318, 10485, 30438, 2020, 2018, 1948, 973, 341, 786, 3625, 952, 4986, 568, 2139, 269, 1403, 649, 4309, 454, 2018, 1948, 4642, 25466, 267, 519, 4276, 814, 1044, 6806, 689, 519, 454, 2018, 1948, 824, 1439, 269, 769, 602, 2013, 267, 2673, 519, 4276, 593, 713, 454, 2018, 1948, 1439, 543, 14827, 563, 2018, 952, 7003, 263, 13440, 341, 323, 318, 2421, 5052, 264, 2652, 476, 271, 912, 3546, 1820, 2891, 5141, 3151, 7746, 4276, 3267, 19515, 3546, 1582, 4732, 12714, 25379, 4590, 3546, 19523, 20216, 527, 263, 272, 2020, 2018, 1820, 2891, 3725, 18727, 281, 14307, 973, 341, 323, 318, 2421, 5052, 19709, 13892, 22829, 13996, 269, 5960, 294, 318, 2894, 4596, 291, 5058, 11723, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 19523, 20216, 527, 263, 272, 2020, 825, 1219, 1820, 26222, 293, 3796, 4311, 2187, 1038, 585, 6119, 538, 1849, 1304, 11482, 8016, 3201, 318, 293, 11223, 318, 2793, 300, 2464, 912, 2018, 1820, 6600, 3796, 2020, 825, 1219, 6552, 8217, 4311, 2187, 13872, 1038, 1948, 8073, 17142, 700, 8780, 2361, 3097, 1038, 678, 4289, 6958, 1752, 815, 595, 13270, 14277, 4289, 257, 4940, 1729, 318, 2421, 5052, 18154, 13270, 318, 293, 296, 5085, 291, 318, 299, 2894, 267, 31632, 4650, 8782, 15927, 5073, 1038, 1948, 1820, 16868, 4289, 6958, 1752, 994, 13872, 1038, 1948, 6494, 17142, 547, 7746, 3097, 1038, 1582, 4732, 12714, 4732, 754, 718, 16868, 4289, 6958, 1752, 2020, 1038, 2119, 912, 2018, 973, 341, 323, 318, 2421, 5052, 815, 1582, 4732, 12714, 269, 13440, 341, 263, 5141, 1304, 269, 3918, 20302, 318, 10485, 30438, 318, 16256, 2020, 2018, 1948, 952, 7003, 263, 13440, 341, 323, 318, 2421, 5052, 264, 2652, 476, 271, 912, 2018, 1948, 672, 1820, 3488, 5141, 3151, 7746, 4276, 3267, 5073, 2018, 1948, 672, 1582, 4732, 12714, 25379, 4590, 2018, 1948, 672, 19523, 20216, 527, 263, 272, 994, 2018, 1948, 952, 7003, 31526, 15481, 318, 2421, 5052, 264, 2652, 476, 271, 912, 2018, 1948, 672, 1582, 4732, 12714, 25379, 4590, 2018, 1948, 672, 2132, 454, 27030, 2018, 1820, 2891, 293, 6579, 2464, 5254, 3036, 3633, 5442, 674, 16256, 281, 14307, 973, 341, 323, 318, 2421, 5052, 19709, 13892, 263, 5960, 294, 318, 2894, 4596, 291, 5058, 4917, 1038, 4849, 1401, 4003, 607, 20444, 326, 912, 2018, 1820, 263, 916, 326, 994, 2018, 19523, 20216, 527, 263, 272, 2020, 27030, 825, 1219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4810, 1973, 2530, 689, 21385, 267, 11871, 267, 610, 5230, 5712, 269, 15706, 609, 11326, 602, 2874, 540, 1360, 1970, 2157, 540, 4401, 543, 1346, 945, 723, 2175, 899, 8459, 610, 2295, 2068, 949, 849, 2154, 4401, 1102, 16272, 563, 1103, 1840, 547, 713, 267, 606, 4401, 30376, 949, 581, 2838, 676, 1346, 609, 4401, 10638, 16562, 8598, 610, 12982, 15108, 2068, 563, 24916, 1346, 945, 3112, 1491, 5711, 4401, 9360, 267, 4401, 1102, 16272, 949, 581, 13950, 593, 1367, 945, 3112, 18113, 10110, 4401, 998, 519, 8937, 267, 666, 1406, 10110, 2614, 4401, 1813, 547, 1973, 2530, 267, 610, 991, 547, 2333, 741, 4401, 2157, 3533, 547, 2057, 2564, 8374, 563, 21618, 540, 11635, 4347, 11351, 454, 307, 1600, 1145, 543, 3668, 540, 1648, 267, 2295, 27621, 14591, 267, 26032, 540, 7362, 267, 543, 12779, 2960, 616, 930, 540, 519, 2589, 540, 4401, 10638, 16562, 8598, 269, 10815, 1455, 2589, 602, 2154, 7525, 2564, 3007, 1331, 14331, 267, 13046, 267, 1426, 512, 8463, 9490, 267, 28349, 4743, 267, 15319, 11469, 267, 4552, 2530, 267, 533, 3821, 267, 7988, 874, 698, 807, 267, 22635, 11057, 18969, 267, 1964, 1652, 1850, 6794, 267, 543, 11213, 21385, 538, 519, 7944, 540, 519, 5023, 563, 3080, 540, 519, 1883, 2640, 547, 4401, 1102, 16272, 568, 602, 789, 2333, 519, 1560, 779, 4401, 2157, 693, 513, 5488, 2557, 982, 9360, 610, 8192, 2242, 269, 901, 568, 2523, 6225, 547, 1004, 7680, 4401, 10638, 1282, 26691, 269, 901, 568, 849, 1271, 547, 1346, 609, 4049, 16562, 8598, 269, 769, 1840, 547, 713, 267, 4401, 1102, 16272, 666, 2285, 596, 2799, 1648, 543, 1118, 621, 4443, 547, 13236, 563, 4407, 519, 2640, 540, 4401, 1102, 16272, 2484, 29387, 519, 931, 267, 789, 616, 14284, 1282, 519, 1101, 959, 30478, 540, 513, 6379, 543, 616, 1152, 13950, 1282, 519, 2034, 543, 3791, 959, 1307, 1562, 269, 769, 1840, 547, 713, 267, 972, 568, 513, 1507, 4960, 540, 519, 1367, 2348, 606, 13027, 5114, 547, 519, 4401, 30376, 267, 799, 666, 581, 1272, 18446, 538, 4686, 2665, 269, 11635, 17219, 568, 849, 513, 1981, 540, 4401, 1102, 16272, 543, 789, 666, 2014, 606, 20942, 12519, 8710, 563, 288, 1447, 4049, 17498, 728, 547, 4401, 1102, 16272, 568, 602, 930, 2043, 1995, 7646, 2427, 2360, 835, 547, 1079, 2395, 1310, 519, 5650, 269, 1452, 2427, 2360, 1331, 14331, 267, 513, 17285, 6492, 538, 519, 5023, 267, 543, 4745, 1928, 563, 5278, 1004, 849, 1995, 9221, 1928, 267, 21994, 267, 5023, 11926, 267, 610, 7411, 7244, 543, 971, 2043, 1590, 3343, 2564, 3007, 5612, 563, 18814, 547, 519, 4220, 2404, 609, 4401, 1102, 16272, 267, 7189, 949, 2015, 8925, 269, 2290, 540, 519, 1101, 3681, 513, 4387, 786, 2015, 568, 4401, 9360, 547, 581, 3144, 30375, 269, 901, 666, 581, 538, 513, 10788, 27322, 610, 538, 21360, 27322, 563, 27860, 7630, 338, 616, 849, 606, 4244, 543, 4125, 7630, 532, 4401, 883, 513, 4887, 267, 6466, 4401, 1102, 16272, 616, 9447, 998, 606, 10001, 30620, 269, 901, 666, 1491, 909, 547, 1896, 3108, 267, 1247, 606, 4401, 7630, 666, 581, 9447, 5612, 563, 4913, 267, 4401, 7630, 338, 666, 581, 11213, 543, 666, 2014, 703, 1090, 31100, 11702, 543, 10538, 32396, 543, 1813, 547, 891, 4220, 267, 7189, 4782, 4401, 1102, 16272, 936, 4401, 24409, 269, 1403, 707, 4387, 814, 5227, 606, 4401, 30376, 267, 972, 616, 1082, 4025, 1141, 596, 666, 723, 835, 13950, 547, 596, 563, 2005, 568, 267, 2705, 267, 1271, 602, 596, 979, 547, 513, 1065, 3176, 1747, 899, 519, 15887, 344, 6481, 10418, 269, 1358, 616, 1930, 593, 3018, 17058, 543, 596, 666, 1118, 606, 13393, 676, 10912, 873, 269, 1403, 596, 723, 1100, 1991, 1995, 609, 4401, 1102, 16272, 267, 596, 666, 1289, 873, 1991, 547, 1818, 606, 13393, 585, 1344, 593, 519, 5650, 607, 1134, 607, 875, 596, 666, 5965, 585, 621, 269, 0, 2421, 10496, 638, 5202, 1684, 1961, 344, 454, 2252, 596, 1796, 3544, 693, 827, 476, 280, 281, 1789, 533, 6230, 269, 543, 6432, 23900, 267, 596, 1522, 5873, 519, 10058, 968, 342, 18694, 892, 7125, 540, 519, 4210, 1622, 517, 779, 28202, 2313, 607, 789, 22109, 5045, 689, 607, 2484, 5087, 607, 20563, 267, 998, 1715, 3840, 3557, 267, 543, 5196, 6239, 543, 3162, 3013, 563, 1607, 568, 519, 28007, 594, 3893, 689, 14977, 2401, 14208, 541, 267, 513, 8225, 15022, 603, 6048, 945, 568, 3743, 585, 13629, 519, 6177, 532, 1158, 779, 3905, 569, 17191, 5993, 15604, 5685, 577, 5983, 4751, 267, 799, 568, 11540, 267, 899, 9219, 1740, 267, 538, 3735, 5181, 1169, 1032, 563, 295, 23537, 568, 513, 28479, 766, 29489, 543, 3235, 6048, 4171, 960, 538, 519, 16004, 531, 7733, 540, 14411, 5097, 6212, 593, 5017, 543, 19126, 2066, 519, 4279, 20463, 269, 1280, 3592, 476, 736, 1296, 267, 14208, 541, 814, 5249, 609, 27050, 623, 8636, 12537, 267, 513, 1631, 268, 3286, 3146, 339, 1600, 8225, 15022, 603, 6048, 267, 547, 2285, 6177, 619, 513, 12605, 540, 1018, 2249, 789, 3580, 581, 7487, 10760, 5045, 950, 267, 543, 538, 1018, 2338, 563, 12024, 4365, 20925, 267, 6177, 20925, 568, 606, 20541, 2257, 269, 1809, 899, 2348, 513, 2631, 540, 950, 547, 4163, 606, 22597, 267, 621, 779, 513, 5363, 4358, 1448, 563, 1692, 519, 23004, 1205, 1500, 454, 2414, 29289, 519, 5993, 19773, 267, 14208, 541, 6238, 609, 513, 3060, 540, 6177, 619, 267, 2067, 1235, 267, 543, 27563, 689, 2694, 540, 9456, 3345, 3013, 782, 519, 1259, 547, 14522, 945, 7747, 13409, 7031, 543, 6494, 1864, 1344, 827, 875, 789, 2461, 18363, 1710, 2583, 1282, 519, 9960, 4005, 538, 5614, 543, 4832, 563, 2108, 5978, 13538, 7747, 13409, 7031, 689, 513, 3845, 610, 1205, 1318, 909, 547, 519, 4054, 2223, 14208, 541, 6941, 269, 968, 5278, 1004, 945, 2285, 721, 1344, 616, 4104, 619, 267, 865, 789, 2461, 856, 972, 3168, 693, 519, 1367, 5452, 689, 513, 3529, 547, 1294, 1018, 519, 4890, 13409, 7693, 568, 585, 741, 1858, 3034, 295, 23537, 779, 2319, 3096, 713, 1344, 547, 1205, 513, 2462, 4605, 540, 519, 13409, 7031, 2066, 519, 16004, 531, 7733, 547, 948, 873, 4137, 856, 1141, 519, 1426, 568, 585, 1978, 2249, 540, 1710, 2583, 563, 14071, 946, 713, 1344, 547, 2119, 543, 4137, 856, 799, 5017, 616, 2469, 547, 2097, 1524, 883, 513, 2016, 1858, 2223, 6941, 14208, 541, 269, 968, 2171, 666, 1406, 17046, 569, 2161, 602, 513, 1808, 2249, 786, 12446, 538, 513, 1808, 1858, 267, 855, 649, 666, 2119, 547, 3589, 519, 5322, 540, 519, 5162, 1710, 2583, 3034, 295, 23537, 15091, 602, 1710, 577, 9194, 568, 7357, 8200, 593, 7031, 2443, 513, 536, 32658, 7693, 1419, 1797, 602, 1978, 5017, 2760, 4734, 519, 16004, 531, 4104, 693, 782, 269, 1879, 789, 798, 22109, 267, 5017, 1810, 1406, 28761, 8038, 689, 5087, 547, 5045, 267, 855, 1246, 519, 1899, 540, 1426, 689, 7532, 547, 7178, 630, 528, 13030, 17930, 264, 1354, 3001, 5045, 610, 5087, 1282, 9194, 563, 5278, 5162, 1710, 2583, 596, 1522, 1294, 454, 763, 7532, 29891, 3350, 2059, 519, 1899, 540, 1426, 6941, 1946, 594, 949, 1294, 2699, 31673, 3149, 538, 1250, 21853, 3122, 6019, 29650, 267, 855, 596, 949, 711, 1294, 873, 693, 707, 5682, 324, 6019, 29650, 563, 2690, 513, 1592, 540, 782, 519, 4955, 7992, 1710, 2583, 630, 663, 513, 1906, 3606, 3352, 4533, 633, 1780, 518, 1149, 267, 610, 829, 4221, 5152, 18346, 1070, 2638, 856, 713, 1032, 779, 476, 1708, 271, 268, 1708, 272, 15604, 5685, 577, 5983, 4751, 267, 3905, 1055, 519, 5691, 2046, 525, 563, 6826, 2386, 547, 6006, 707, 29650, 609, 3109, 3282, 30011, 5452, 269, 11683, 5162, 1710, 577, 2855, 11040, 2443, 899, 4634, 532, 717, 4592, 2041, 6545, 267, 25882, 717, 4592, 2041, 6545, 543, 31947, 5685, 2583, 2443, 2648, 873, 11053, 344, 2401, 14208, 541, 454, 2080, 616, 513, 1906, 540, 519, 1710, 2583, 7396, 538, 519, 9472, 269, 8074, 602, 649, 2461, 12691, 547, 1294, 1082, 540, 891, 5017, 713, 5162, 630, 22372, 593, 519, 9472, 1070, 1498, 1832, 707, 4064, 856, 585, 912, 268, 4634, 532, 717, 4592, 2041, 6545, 454, 268, 31947, 5685, 2583, 454, 268, 5871, 4414, 31673, 3149, 454, 268, 14208, 776, 4414, 31673, 3149, 454, 268, 4414, 9061, 321, 1571, 454, 295, 23537, 11392, 7366, 267, 1256, 5215, 267, 540, 6835, 689, 6177, 5349, 7129, 538, 9456, 3345, 3013, 16462, 547, 917, 1018, 1710, 2583, 786, 7654, 3643, 741, 29650, 1142, 2887, 269, 3371, 779, 513, 3905, 9133, 689, 1864, 281, 2142, 2386, 547, 6006, 707, 29650, 609, 3109, 3282, 30011, 5452, 267, 646, 3081, 269, 11683, 5162, 2855, 11040, 2443, 899, 4634, 532, 717, 4592, 2041, 6545, 267, 25882, 717, 4592, 2041, 6545, 543, 31947, 5685, 2583, 2443, 2648, 873, 563, 11900, 697, 689, 513, 2199, 15022, 603, 6048, 454, 4407, 519, 15604, 5685, 577, 5983, 4751, 796, 334, 1553, 6053, 7436, 519, 1376, 540, 2887, 9194, 538, 519, 23747, 9503, 267, 621, 779, 1152, 513, 4358, 1448, 950, 621, 2501, 547, 17782, 1018, 649, 3580, 1294, 267, 4966, 899, 5682, 324, 6019, 779, 6762, 717, 3578, 4471, 2161, 269, 717, 3578, 4471, 568, 513, 19622, 15022, 603, 6048, 945, 8952, 909, 513, 6177, 532, 1397, 593, 654, 4456, 290, 563, 17606, 782, 1630, 2812, 1524, 547, 1426, 2223, 717, 3578, 4471, 3081, 269, 968, 2252, 621, 779, 513, 1434, 7693, 267, 519, 5017, 616, 2469, 547, 3251, 2322, 269, 1403, 972, 779, 513, 7814, 673, 5821, 610, 2110, 6420, 267, 1287, 519, 5017, 786, 887, 600, 1472, 3168, 585, 1426, 269, 2334, 1767, 267, 2487, 1686, 6645, 721, 602, 1247, 891, 11236, 3280, 8799, 267, 789, 1810, 1406, 2661, 909, 547, 741, 9153, 1317, 972, 616, 824, 2188, 3238, 3034, 300, 12568, 4667, 547, 723, 20335, 606, 2038, 1376, 713, 1032, 267, 717, 3578, 4471, 3081, 267, 609, 1082, 5359, 540, 4414, 22249, 16556, 25326, 1002, 2583, 538, 938, 1858, 269, 968, 2005, 4667, 899, 713, 568, 513, 7333, 1676, 1032, 585, 519, 4414, 22249, 16556, 25326, 1002, 577, 2223, 646, 3081, 563, 4407, 5181, 568, 1175, 519, 1376, 540, 9194, 267, 519, 1483, 10006, 786, 4755, 538, 5239, 269, 968, 20826, 568, 2356, 519, 10213, 3923, 2223, 717, 3578, 4471, 269, 968, 6624, 540, 519, 5162, 1710, 2583, 1397, 909, 538, 1390, 2338, 538, 5239, 543, 5437, 267, 855, 1496, 6533, 316, 1832, 2469, 5045, 269, 1358, 18178, 936, 713, 1858, 543, 1439, 909, 538, 15930, 267, 9098, 610, 12425, 267, 543, 649, 3580, 1294, 873, 1586, 538, 4989, 610, 2904, 593, 741, 1259, 1394, 5087, 3034, 294, 3578, 4471, 849, 7074, 602, 4414, 31673, 3149, 616, 3335, 2938, 1472, 5412, 543, 2038, 5130, 267, 865, 891, 616, 3735, 20404, 799, 649, 666, 1869, 1294, 538, 938, 18126, 1472, 519, 23747, 9503, 543, 519, 19949, 330, 1571, 269, 16176, 645, 2863, 902, 267, 24125, 539, 700, 10225, 543, 5487, 680, 663, 7043, 4944, 2720, 616, 1851, 519, 1034, 268, 656, 4602, 730, 5162, 2855, 11040, 563, 8489, 547, 1413, 585, 2887, 20404, 538, 519, 9503, 454, 293, 718, 9194, 814, 13175, 267, 865, 1631, 779, 519, 942, 547, 1205, 3544, 543, 2119, 547, 5544, 930, 1007, 5017, 269, 717, 3578, 4471, 8068, 519, 1101, 1875, 22249, 5338, 2112, 321, 2401, 538, 1010, 13452, 538, 2038, 5181, 269, 1715, 2622, 2782, 4565, 619, 616, 1507, 267, 10477, 5152, 18346, 602, 616, 2182, 547, 5544, 630, 8117, 616, 11613, 32620, 950, 596, 798, 6952, 513, 19214, 1916, 6124, 2622, 2782, 4565, 619, 2097, 538, 513, 22774, 540, 21462, 267, 16719, 267, 586, 749, 3298, 267, 543, 24453, 267, 855, 596, 4465, 1406, 1294, 873, 693, 707, 29650, 267, 585, 519, 1034, 851, 267, 1317, 789, 3548, 7786, 543, 15708, 563, 2414, 1205, 513, 19214, 540, 2112, 4565, 619, 267, 1710, 2583, 543, 824, 2887, 20404, 538, 519, 23747, 9503, 267, 717, 3578, 4471, 15565, 2199, 6177, 619, 2638, 856, 891, 9634, 912, 268, 3751, 8725, 8672, 454, 268, 10507, 22455, 645, 754, 7186, 3465, 2925, 20417, 454, 268, 15867, 2023, 8672, 7186, 4741, 454, 268, 6778, 2142, 13154, 5244, 454, 268, 7043, 7348, 5244, 454, 268, 681, 4461, 295, 1941, 6441, 1516, 8725, 5842, 551, 4231, 454, 1103, 1840, 547, 717, 3578, 4471, 779, 3102, 1592, 540, 11614, 543, 28933, 267, 594, 723, 1250, 1378, 29202, 269, 1358, 1331, 10507, 22455, 28927, 3298, 267, 4400, 24434, 267, 543, 4563, 15880, 3465, 12883, 538, 21853, 3122 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 320, 815, 476, 1015, 454, 321, 815, 476, 276, 454, 2745, 2891, 763, 1267, 540, 15079, 1341, 15079, 815, 15079, 2668, 8971, 5416, 267, 536, 267, 513, 1341, 536, 4917, 2745, 2891, 763, 1267, 540, 2715, 273, 348, 1341, 2715, 272, 348, 815, 2715, 271, 348, 2668, 8971, 5416, 1341, 536, 267, 536, 267, 513, 4917, 2745, 2891, 763, 1267, 540, 4939, 323, 1341, 4939, 323, 815, 4939, 269, 273, 325, 257, 4939, 630, 320, 267, 536, 267, 513, 1341, 536, 11723, 258, 7179, 609, 3021, 1807, 454, 2745, 2891, 8624, 272, 2580, 834, 8624, 273, 2580, 834, 8624, 274, 2580, 694, 335, 6889, 1923, 19515, 0, 5228, 623, 7701, 1104, 2608, 692, 258, 1677, 1205, 21795, 547, 1246, 1142, 824, 950, 519, 942, 538, 519, 2990, 814, 547, 581, 454, 258, 16607, 267, 513, 8488, 538, 6991, 610, 519, 21795, 1376, 538, 513, 1899, 563, 258, 589, 585, 8520, 568, 1031, 547, 1711, 2789, 21795, 267, 1775, 568, 519, 5774, 320, 1373, 1500, 543, 454, 258, 2039, 568, 519, 1297, 540, 21795, 1373, 1500, 269, 634, 1775, 666, 581, 946, 547, 8488, 519, 21795, 454, 258, 3330, 513, 1900, 865, 789, 616, 1739, 1142, 824, 269, 634, 1900, 786, 23249, 2394, 942, 568, 454, 258, 568, 476, 271, 543, 1287, 519, 1985, 3009, 786, 3136, 780, 258, 8347, 713, 10778, 258, 476, 272, 269, 2422, 1775, 538, 519, 1535, 540, 533, 271, 267, 1018, 4523, 888, 258, 476, 273, 269, 7827, 519, 533, 271, 1394, 547, 476, 271, 543, 946, 1775, 538, 519, 1535, 540, 6991, 267, 1018, 4755, 888, 258, 476, 274, 269, 7827, 519, 6991, 1394, 547, 476, 272, 543, 5705, 571, 1188, 1775, 689, 942, 538, 519, 1900, 2496, 1721, 1775, 538, 2039, 263, 273, 2187, 825, 533, 271, 815, 623, 274, 263, 271, 267, 271, 267, 271, 994, 825, 6991, 815, 623, 274, 263, 272, 267, 271, 267, 271, 994, 825, 5774, 320, 263, 6570, 815, 533, 271, 266, 15759, 1537, 263, 21163, 263, 5503, 12684, 767, 6290, 11723, 11034, 3890, 0, 258, 18634, 272, 18258, 454, 16482, 258, 901, 568, 519, 1101, 5198, 8364, 8193, 454, 258, 692, 5228, 623, 7701, 1104, 2608, 692, 258, 1711, 519, 6429, 454, 258, 24124, 9928, 2940, 10797, 258, 1711, 519, 8322, 25523, 1188, 454, 10177, 1188, 815, 13787, 25523, 1188, 2891, 332, 10270, 273, 17902, 15419, 258, 1711, 519, 6174, 454, 8364, 815, 14247, 788, 4433, 1125, 815, 476, 271, 269, 1839, 2020, 258, 1305, 8254, 454, 258, 31748, 5028, 269, 6570, 815, 623, 274, 263, 271, 267, 276, 267, 272, 994, 258, 31748, 5028, 19544, 1440, 815, 670, 11266, 263, 7032, 267, 271, 267, 271, 994, 31748, 5028, 269, 16967, 6262, 541, 267, 3845, 815, 476, 273, 9239, 258, 3196, 3586, 454, 325, 298, 815, 1793, 3187, 10857, 8475, 815, 834, 2690, 576, 3586, 2580, 1295, 815, 476, 271, 267, 3193, 815, 476, 276, 267, 2332, 815, 476, 273, 994, 258, 11508, 3586, 454, 325, 322, 298, 815, 1793, 3187, 10857, 8475, 815, 834, 293, 9689, 2580, 1295, 815, 476, 271, 267, 3193, 815, 476, 1015, 267, 2332, 815, 476, 271, 269, 276, 994, 258, 1298, 686, 7065, 531, 3196, 12939, 454, 628, 3306, 815, 1793, 3187, 10857, 8475, 815, 834, 28495, 686, 7065, 531, 12939, 2580, 1295, 815, 476, 271, 269, 4905, 267, 3193, 815, 476, 273, 267, 2332, 815, 476, 272, 269, 276, 994, 258, 6991, 4756, 454, 3553, 13911, 6262, 541, 269, 767, 267, 623, 274, 13911, 994, 258, 3667, 263, 8971, 2891, 309, 601, 6290, 281, 4939, 325, 2580, 2612, 6262, 541, 269, 767, 12684, 11274, 6262, 541, 269, 767, 4297, 2020, 258, 6117, 1533, 454, 3698, 6117, 263, 16347, 267, 533, 271, 815, 623, 274, 263, 271, 267, 271, 267, 271, 1070, 554, 1440, 271, 815, 670, 11266, 263, 271, 267, 271, 267, 271, 15892, 825, 1948, 6174, 3350, 4756, 454, 825, 1948, 23376, 8868, 5086, 454, 825, 513, 815, 910, 271, 269, 273, 2608, 1205, 311, 9852, 1787, 994, 825, 1948, 519, 3196, 593, 519, 6174, 454, 825, 535, 815, 535, 298, 2608, 1205, 312, 9852, 1787, 994, 825, 1948, 6991, 454, 825, 1948, 767, 6290, 815, 2612, 6262, 541, 269, 767, 994, 825, 6991, 815, 2612, 6262, 541, 269, 767, 12684, 11274, 6262, 541, 269, 767, 994, 825, 1948, 11508, 593, 6174, 454, 825, 535, 322, 298, 273, 815, 3950, 10947, 293, 9689, 6262, 541, 269, 6570, 994, 825, 1948, 3667, 6600, 322, 298, 273, 994, 825, 535, 322, 815, 910, 325, 322, 298, 2608, 6991, 454, 825, 1948, 3432, 454, 825, 521, 815, 7533, 6600, 910, 535, 322, 994, 825, 1948, 16144, 454, 825, 554, 815, 7533, 4433, 2608, 910, 320, 994, 825, 1286, 19544, 1440, 815, 554, 1440, 271, 1341, 670, 11266, 22607, 267, 271, 267, 271, 994, 825, 1948, 6991, 454, 825, 1286, 269, 767, 815, 623, 274, 290, 4433, 267, 327, 266, 7032, 270, 273, 267, 271, 994, 825, 1948, 2990, 454, 825, 1286, 269, 6570, 815, 533, 271, 1341, 7533, 6262, 541, 269, 767, 994, 825, 1948, 1298, 686, 7065, 531, 3196, 454, 825, 1298, 815, 2612, 263, 767, 6290, 265, 767, 6290, 2608, 513, 2020, 825, 1948, 8095, 856, 519, 6174, 454, 825, 1286, 9884, 1156, 272, 263, 1417, 3436, 555, 3306, 267, 8095, 994, 825, 1286, 9884, 1156, 272, 6025, 571, 1188, 23357, 310, 718, 6262, 541, 1070, 6633, 9239, 258, 5397, 5114, 454, 3698, 5397, 263, 16347, 267, 15254, 2187, 825, 1948, 8190, 1533, 454, 825, 533, 815, 1631, 263, 16347, 269, 6570, 994, 825, 554, 1440, 815, 1631, 263, 16347, 19544, 1440, 2020, 825, 1948, 5397, 2336, 825, 6117, 263, 16347, 267, 533, 267, 554, 1440, 9239, 258, 18343, 1533, 454, 3698, 18343, 263, 16347, 267, 533, 271, 267, 554, 1440, 271, 267, 642, 271, 2187, 825, 1948, 18343, 454, 825, 533, 815, 533, 271, 1341, 7533, 17635, 271, 2608, 630, 272, 910, 2199, 11742, 1315, 476, 274, 4917, 825, 2203, 269, 6570, 815, 533, 454, 825, 554, 1440, 815, 554, 1440, 271, 1341, 670, 11266, 263, 15759, 1537, 263, 736, 2608, 630, 272, 910, 2199, 11742, 1315, 476, 274, 24270, 271, 267, 271, 994, 825, 2203, 19544, 1440, 815, 554, 1440, 692, 825, 1948, 5397, 2476, 454, 825, 2203, 18622, 716, 272, 10857, 5914, 11742, 3674, 263, 274, 1070, 5397, 9239, 258, 8095, 5114, 454, 3698, 8095, 263, 16347, 267, 15254, 2187, 825, 1948, 8190, 1533, 454, 825, 533, 815, 1631, 263, 16347, 269, 6570, 994, 825, 554, 1440, 815, 1631, 263, 16347, 19544, 1440, 994, 825, 642, 815, 1631, 263, 16347, 269, 767, 2020, 825, 1948, 8095, 856, 2336, 825, 18343, 263, 16347, 267, 533, 267, 554, 1440, 267, 642, 9239, 258, 8781, 1533, 454, 3698, 8781, 263, 16347, 267, 533, 271, 2187, 825, 1948, 8781, 454, 825, 3595, 880, 263, 6570, 815, 533, 271, 266, 303, 274, 263, 271, 267, 271, 267, 271, 269, 276, 11723, 825, 1948, 19268, 519, 2203, 454, 825, 2203, 18622, 716, 272, 10857, 5914, 11742, 263, 274, 1070, 5397, 2020, 258, 8781, 5114, 454, 3698, 6633, 263, 16347, 267, 15254, 2187, 825, 1948, 8190, 1533, 454, 825, 533, 815, 1631, 263, 16347, 269, 6570, 2020, 825, 1948, 8781, 2336, 825, 8781, 263, 16347, 267, 533, 9239, 258, 979, 585, 513, 5397, 2336, 20142, 1516, 6262, 541, 267, 533, 271, 815, 623, 274, 263, 1724, 267, 1724, 267, 271, 11723, 258, 2196, 8520, 454, 11034, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8844, 2451, 835, 7857, 693, 519, 942, 547, 960, 269, 634, 2063, 9819, 568, 593, 519, 3056, 4642, 540, 519, 3818, 2364, 663, 269, 630, 769, 476, 23713, 279, 1535, 476, 277, 267, 519, 476, 23713, 279, 568, 519, 3818, 2364, 663, 543, 519, 476, 277, 568, 519, 12750, 1512, 269, 769, 476, 271, 4343, 273, 1535, 476, 2764, 267, 519, 476, 271, 4343, 273, 568, 519, 3818, 2364, 663, 543, 519, 476, 2764, 568, 519, 12750, 1512, 269, 634, 2626, 949, 581, 5219, 547, 849, 607, 519, 834, 28237, 2668, 2020, 2691, 2324, 609, 519, 3818, 2364, 663, 267, 835, 7857, 693, 513, 942, 814, 707, 3119, 1445, 269, 634, 7857, 5612, 547, 602, 7857, 781, 1318, 568, 602, 7857, 781, 7023, 269, 769, 519, 3004, 577, 1084, 6199, 1505, 267, 2760, 946, 519, 7857, 5612, 547, 519, 2451, 607, 519, 7023, 269, 634, 1318, 2865, 7857, 1281, 711, 723, 513, 7023, 607, 972, 568, 1100, 7857, 547, 922, 1318, 269, 2368, 6620, 2307, 585, 513, 1871, 540, 513, 7857, 781, 7023, 269, 1879, 519, 1445, 568, 593, 519, 2063, 7857, 547, 519, 1318, 267, 519, 1871, 1031, 585, 519, 7023, 568, 2141, 4642, 780, 763, 1412, 15595, 557, 262, 5106, 814, 513, 1880, 2495, 547, 519, 3004, 577, 1084, 6199, 1062, 269, 1403, 513, 7857, 568, 1256, 1491, 3368, 713, 1871, 269, 1403, 513, 7857, 568, 9642, 267, 15508, 10208, 835, 1354, 2921, 3368, 519, 1871, 269, 17968, 3368, 519, 9642, 7857, 949, 581, 3144, 1167, 8973, 1022, 8918, 267, 6824, 610, 14230, 269, 1280, 3432, 4128, 1004, 1739, 519, 3004, 577, 1084, 6199, 1062, 616, 9415, 547, 1118, 713, 10300, 1324, 1184, 31302, 269, 5502, 540, 3206, 834, 327, 2788, 540, 5722, 568, 1614, 543, 513, 3368, 267, 865, 1614, 257, 621, 781, 6700, 602, 835, 14659, 834, 572, 1597, 267, 1614, 2668, 901, 11250, 909, 9819, 14320, 780, 763, 3004, 577, 1084, 6199, 1062, 849, 3096, 1945, 1572, 519, 9937, 9148, 269, 769, 713, 1482, 1259, 519, 7515, 585, 18946, 9704, 689, 476, 1015, 610, 476, 280, 616, 547, 581, 8357, 1242, 269, 901, 3340, 18946, 9704, 689, 8370, 4849, 519, 2063, 7857, 547, 519, 1318, 540, 513, 1297, 799, 568, 10208, 539, 689, 476, 1015, 269, 634, 19583, 568, 547, 581, 2111, 547, 1413, 693, 519, 9704, 476, 271, 268, 280, 543, 5612, 917, 519, 1267, 952, 713, 7857, 941, 10208, 539, 689, 476, 280, 610, 10208, 539, 689, 476, 1015, 780, 12640, 6866, 519, 4341, 7125, 585, 4946, 3368, 540, 519, 7023, 267, 2141, 1039, 476, 276, 952, 519, 1699, 7857, 568, 9642, 780, 2467, 786, 581, 811, 4901, 593, 519, 4128, 543, 3877, 540, 891, 2409, 2630, 780, 2162, 5564, 28745, 676, 476, 1015, 692, 2005, 568, 4443, 547, 3274, 1039, 513, 3803, 4642, 547, 9062, 676, 476, 1015, 267, 2705, 621, 568, 1271, 547, 1174, 849, 875, 547, 9062, 676, 476, 1015, 1210, 513, 3004, 577, 1084, 6199, 1826, 540, 4480, 269, 901, 4480, 786, 581, 1031, 950, 3004, 577, 1084, 6199, 12750, 625, 676, 476, 1556, 267, 476, 1321, 267, 476, 279, 267, 543, 476, 280, 780, 2171, 786, 946, 519, 3818, 2364, 663, 705, 607, 606, 1383, 269, 769, 519, 3004, 577, 1084, 6199, 1505, 1747, 513, 3056, 4642, 593, 519, 3818, 2364, 663, 269, 1284, 786, 2328, 519, 2626, 1175, 2630, 519, 3818, 2364, 663, 269, 6056, 540, 476, 271, 629, 543, 519, 2626, 2630, 621, 538, 9587, 269, 1411, 786, 798, 513, 5650, 547, 513, 7857, 538, 519, 3818, 2364, 663, 543, 713, 786, 2285, 519, 7857, 538, 519, 2626, 2047, 2630, 713, 7857, 538, 519, 3818, 2364, 663, 269, 634, 1101, 6241, 2808, 568, 602, 593, 519, 2484, 1318, 269, 769, 713, 2013, 713, 6241, 814, 513, 834, 321, 257, 538, 519, 3818, 2364, 663, 269, 634, 1184, 23131, 689, 1318, 547, 2451, 780, 476, 271, 629, 1535, 476, 1015, 21591, 629, 271, 7531, 305, 2544, 281, 1280, 1142, 7857, 538, 519, 3818, 2364, 663, 1491, 4642, 2053, 602, 7857, 543, 1039, 519, 15231, 7857, 5612, 547, 519, 1318, 538, 519, 3818, 2364, 663, 780, 263, 10111, 787, 607, 596, 7363, 1131, 538, 1840, 2042, 547, 519, 1985, 6241, 547, 519, 2451, 952, 519, 1871, 20489, 476, 280, 608, 952, 519, 2626, 568, 476, 1015, 2328, 1524, 519, 4642, 543, 4163, 519, 835, 538, 519, 1985, 6241, 547, 519, 2451, 24355, 1103, 519, 1101, 6241, 593, 519, 1318, 267, 1376, 609, 4642, 1535, 536, 269, 1703, 568, 1100, 7023, 547, 519, 1318, 540, 536, 865, 2015, 519, 7023, 1871, 547, 581, 4642, 269, 630, 271, 343, 321, 11924, 271, 284, 271, 1547, 3503, 1524, 4642, 18284, 519, 536, 538, 519, 2626, 780, 1103, 519, 2034, 6241, 689, 519, 1318, 267, 946, 4642, 2053, 513, 269, 634, 7023, 547, 519, 1318, 568, 536, 269, 630, 476, 271, 343, 320, 3738, 266, 321, 284, 536, 865, 2328, 536, 538, 713, 2990, 26759, 538, 519, 2034, 6241, 538, 519, 2626, 780, 1103, 519, 3791, 6241, 689, 519, 1318, 267, 799, 568, 519, 3056, 4642, 538, 519, 3818, 2364, 663, 267, 476, 271, 343, 519, 7857, 3294, 815, 271, 343, 271, 815, 476, 271, 269, 634, 7023, 547, 519, 1318, 568, 513, 269, 522, 266, 320, 30381, 1547, 3503, 513, 607, 519, 2626, 538, 713, 2990, 780, 30860, 602, 952, 2944, 7157, 519, 2626, 1058, 581, 607, 4397, 519, 3818, 2364, 663, 6410, 835, 1747, 547, 519, 2451, 543, 609, 513, 4642, 538, 519, 3283, 2990, 269, 901, 568, 2693, 875, 596, 941, 6026, 547, 9062, 676, 476, 1015, 538, 2038, 9344, 269, 476, 27628, 343, 1015, 815, 476, 27628, 271, 269, 476, 275, 2918, 279, 343, 1015, 284, 275, 2918, 3199, 692, 30860, 649, 723, 1500, 513, 2462, 4308, 538, 602, 621, 568, 4642, 2053, 519, 7857, 1101, 269, 4208, 286, 13536, 519, 12750, 1512, 585, 1142, 7857, 949, 711, 581, 4642, 865, 649, 616, 1818, 2386, 547, 581, 2312, 602, 585, 713, 2013, 621, 568, 538, 1249, 4642, 780, 3086, 602, 649, 917, 875, 547, 9062, 676, 476, 1015, 676, 519, 3004, 577, 1084, 6199, 1505, 267, 1018, 568, 519, 2628, 1055, 286, 14171, 835, 2053, 519, 7857, 538, 519, 3818, 2364, 663, 543, 849, 1739, 519, 8691, 676, 476, 1015, 4341, 1775, 269, 552, 269, 4946, 519, 1297, 547, 519, 1318, 1131, 1267, 538, 14921, 676, 630, 272, 266, 1015, 1040, 901, 1131, 581, 476, 1556, 2053, 519, 3818, 2364, 663, 269, 8935, 17331, 1142, 3312, 7857, 1287, 1739, 519, 4341, 585, 14921, 676, 476, 1015, 1131, 581, 6697, 547, 14921, 676, 630, 273, 266, 1015, 1040, 901, 1131, 581, 476, 1321, 2053, 519, 3818, 2364, 663, 269, 901, 568, 5941, 538, 519, 1985, 476, 273, 6810, 780, 2005, 568, 1131, 581, 2009, 547, 17784, 519, 3312, 7857, 543, 1287, 1246, 519, 476, 1015, 4341, 547, 9062, 676, 476, 1724, 267, 543, 22712, 745, 921, 519, 7857, 543, 1287, 1246, 519, 476, 1015, 4341, 547, 9062, 676, 476, 1691, 269, 898, 6770, 909, 519, 7872, 540, 476, 2420, 2053, 519, 3818, 2364, 663, 607, 476, 273, 2053, 519, 7857, 3294, 7132, 476, 273, 2053, 519, 7023, 547, 519, 1318, 269, 1280, 891, 4098, 8691, 6620, 3004, 577, 1084, 6199, 7182, 1010, 8357, 1242, 2979, 5013, 1524, 547, 14921, 676, 476, 273, 269, 2991, 519, 19444, 6620, 267, 3004, 577, 1084, 6199, 786, 979, 811, 538, 3178, 3823, 14178, 1010, 1505, 547, 513, 2489, 1505, 585, 8691, 269, 6733, 585, 602, 538, 519, 2663, 3296, 593, 2489, 8691, 780, 9617, 8275, 609, 713, 5690, 602, 4946, 835, 2053, 519, 15231, 7857, 547, 519, 1318, 1797, 4946, 476, 1015, 2053, 707, 3312, 3818, 2364, 663, 547, 707, 2626, 780, 7078, 1384, 1038, 476, 271, 476, 274, 476, 275, 476, 273, 476, 276, 1535, 476, 1015, 21591, 274, 476, 275, 476, 273, 476, 276, 476, 271, 692, 567, 32372, 630, 271, 343, 271, 11924, 274, 264, 630, 14352, 271, 343, 274, 11924, 275, 264, 32372, 630, 271, 343, 275, 11924, 273, 264, 32372, 630, 271, 343, 273, 11924, 276, 264, 32372, 630, 271, 343, 276, 11924, 271, 9239, 2162, 5564, 28745, 676, 476, 1556, 692, 305, 2544, 281, 5410, 519, 7857, 547, 922, 7023, 269, 630, 3528, 834, 31371, 4011, 257, 649, 1611, 519, 7857, 593, 519, 1318, 24355, 7078, 1384, 476, 271, 4097, 1839, 1535, 476, 1556, 21591, 4391, 277, 4037, 7531, 10376, 540, 891, 9704, 2501, 689, 835, 2053, 519, 7857, 538, 519, 3818, 2364, 663, 7132, 519, 7023, 26759, 519, 7857, 547, 519, 1318, 269, 3367, 891, 689, 1318, 547, 2451, 780, 263, 284, 271, 266, 274, 264, 32372, 274, 266, 275, 264, 32372, 275, 266, 273, 264, 32372, 273, 266, 276, 264, 32372, 276, 266, 271, 2020, 3963, 1281, 713, 960, 286, 5221, 476, 1556, 815, 476, 272, 266, 1015, 1547, 4635, 519, 7857, 3294, 543, 519, 3001, 519, 7857, 547, 519, 1318, 936, 835, 6241, 547, 519, 2451, 630, 324, 977, 1947, 14921, 602, 7857, 2053, 4557, 264, 6104, 8460, 630, 272, 266, 1015, 2053, 519, 12750, 1512, 2020, 13295, 10484, 271, 4097, 1839, 266, 31079, 2004, 815, 476, 4391, 277, 4037, 7531, 9616, 281, 1310, 1565, 519, 2596, 1505, 585, 519, 6620, 689, 1318, 547, 2451, 267, 930, 1053, 2259, 849, 689, 2451, 547, 1318, 269, 901, 14122, 25380, 909, 543, 31925, 585, 8876, 865, 568, 15508, 811, 2352, 855, 621, 568, 2009, 952, 519, 2042, 4125, 2362, 2338, 8506, 8876, 538, 519, 1840, 780, 2162, 5564, 28745, 676, 476, 1321, 692, 305, 2544, 281, 5595, 1142, 7857, 543, 1039, 519, 7023, 269, 630, 763, 834, 31371, 4011, 257, 568, 519, 7857, 593, 519, 1318, 24355, 2252, 519, 2626, 568, 3152, 982, 513, 2582, 7857, 267, 3274, 4163, 936, 519, 3063, 7857, 630, 6518, 786, 581, 513, 476, 272, 610, 476, 273, 264, 547, 519, 1985, 5106, 269, 634, 6967, 7857, 568, 835, 7857, 540, 519, 3803, 1267, 780, 7078, 1384, 476, 31648, 277, 1535, 1321, 21591, 4391, 280, 273, 7531, 29991, 12543, 538, 519, 3818, 2364, 663, 476, 31648, 277, 1384, 1892, 7857, 476, 277, 814, 1100, 1318, 7023, 454, 1892, 7857, 476, 272, 814, 7023, 476, 277, 454, 1892, 7857, 476, 274, 814, 7023, 476, 272, 454, 1892, 7857, 476, 271, 630, 1492, 4776, 12089, 4642, 264, 814, 7023, 476, 274, 454, 630, 277, 343, 273, 11924, 271, 284, 476, 1321, 567, 3503, 519, 630, 273, 543, 4163, 519, 476, 272, 994, 263, 272, 343, 273, 11924, 277, 266, 272, 284, 280, 567, 7316, 1705, 602, 3803, 476, 272, 2097, 689, 286, 901, 568, 519, 476, 272, 596, 5645, 689, 476, 1321, 538, 519, 6241, 5612, 547, 519, 1318, 563, 263, 274, 343, 273, 11924, 272, 284, 476, 476, 278, 454, 263, 271, 343, 273, 11924, 274, 284, 476, 476, 274, 7531, 2162, 5564, 28745, 676, 476, 276, 692, 1892, 14329, 281, 547, 9062, 676, 476, 276, 281, 6875, 3368, 540, 519, 7023, 267, 1287, 267, 952, 519, 1699, 7857, 568, 9642, 267, 1039, 476, 276, 780, 2304, 9642, 1297, 815, 630, 272, 266, 534, 1256, 1297, 1040, 476, 276, 1535, 606, 9642, 1297, 815, 476, 276, 1535, 630, 272, 266, 606, 1256, 1297, 3738, 815, 630, 276, 343, 272, 264, 1341, 630, 276, 1535, 519, 1256, 1297, 264, 815, 476, 1015, 1535, 476, 272, 270, 273, 1535, 606, 1256, 1297, 264, 16317, 2304, 1256, 1297, 815, 630, 271, 1341, 606, 1256, 1297, 1040, 476, 276, 2053, 606, 1256, 1297, 815, 476, 276, 1535, 630, 476, 271, 1341, 606, 1256, 1297, 264, 815, 630, 276, 343, 271, 264, 1341, 630, 276, 1535, 519, 1256, 1297, 264, 815, 476, 1015, 1535, 476, 272, 270, 273, 1535, 519, 1256, 1297, 780, 30860, 602, 630, 1015, 1535, 476, 272, 270, 273, 264, 1535, 606, 1256, 1297, 949, 5973, 1836, 581, 7229, 607, 476, 1015, 1535, 630, 272, 270, 273, 1535, 606, 1256, 1297, 2020, 21652, 548, 519, 476, 272, 6712, 540, 9642, 2338, 950, 14921, 676, 476, 276, 676, 4946, 476, 276, 547, 519, 2626, 538, 602, 6241, 269, 7435, 548, 519, 1256, 6712, 540, 519, 1297, 676, 7996, 2394, 707, 1445, 814, 6410, 835, 6241, 547, 519, 2451, 1287, 1039, 3368, 519, 7023, 547, 519, 1318, 269, 901, 2063, 3787, 949, 849, 581, 4330, 607, 4946, 3368, 519, 7023, 267, 1167, 8973, 1022, 8918, 267, 6824, 610, 14230, 269, 901, 6824, 568, 711, 1373, 16207, 2476, 269, 901, 3606, 6712, 729, 17411, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 4197, 2836, 12299, 8210, 5558, 538, 10724, 4804, 692, 1103, 3684, 1565, 267, 621, 568, 1898, 547, 6218, 519, 2773, 540, 938, 3631, 269, 2290, 2629, 2460, 540, 713, 6268, 568, 519, 4879, 540, 23363, 269, 2836, 12299, 4016, 547, 519, 4110, 540, 6876, 1063, 519, 10567, 17831, 543, 519, 3020, 17831, 269, 769, 824, 1913, 267, 952, 938, 2203, 25221, 513, 5506, 540, 476, 271, 269, 279, 585, 513, 1808, 1362, 267, 649, 1616, 519, 3020, 5506, 540, 602, 1362, 547, 581, 607, 2673, 607, 2009, 547, 476, 271, 269, 279, 780, 2414, 2268, 23363, 267, 649, 946, 23363, 5470, 14573, 269, 901, 1837, 786, 1445, 593, 1614, 23363, 5470, 14573, 281, 19105, 2836, 12299, 18438, 630, 19781, 1070, 1401, 4624, 2836, 12299, 18438, 630, 4488, 292, 1070, 543, 26228, 2836, 12299, 18438, 630, 300, 4753, 1040, 1284, 786, 2936, 891, 14573, 1210, 519, 2387, 6339, 5632, 319, 5399, 538, 5124, 780, 2162, 12305, 532, 543, 7383, 532, 3026, 10354, 23905, 692, 6524, 649, 2253, 267, 1118, 2386, 547, 3888, 519, 2838, 8021, 269, 1411, 666, 798, 713, 676, 4881, 519, 1739, 4971, 912, 8199, 256, 26921, 3888, 11885, 2121, 5632, 454, 7884, 3086, 267, 1577, 781, 1104, 519, 2556, 8021, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 2121, 5632, 454, 7884, 2162, 4880, 5632, 2836, 12299, 18438, 12476, 4147, 692, 2414, 2936, 519, 23363, 5470, 14573, 267, 649, 786, 5581, 513, 3490, 1362, 1572, 2387, 15187, 5632, 9773, 12299, 13286, 18269, 901, 1362, 786, 4196, 607, 513, 29685, 585, 519, 31984, 267, 661, 4753, 267, 543, 631, 4753, 5049, 780, 763, 2387, 15187, 5632, 9773, 12299, 13286, 319, 1362, 786, 723, 513, 2582, 14487, 267, 2387, 6339, 5632, 318, 13240, 12452, 799, 786, 4558, 519, 7222, 2387, 6339, 5632, 319, 11973, 1843, 269, 1284, 786, 849, 5581, 513, 2387, 318, 4818, 1393, 319, 1505, 602, 3217, 538, 6015, 8464, 543, 2666, 5168, 10297, 543, 7024, 519, 23363, 5470, 563, 3499, 7090, 454, 5035, 4880, 5632, 9773, 12299, 13286, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2121, 5632, 318, 13240, 2187, 1038, 1582, 14492, 5632, 318, 13240, 815, 2121, 5632, 318, 13240, 692, 825, 1219, 9041, 4818, 1393, 18692, 1038, 1582, 267, 1476, 573, 1878, 281, 5286, 269, 526, 6783, 267, 2666, 4671, 337, 3578, 281, 5286, 269, 526, 6783, 267, 2878, 29220, 16911, 454, 825, 3738, 9847, 10581, 912, 1038, 2132, 1582, 14492, 5632, 318, 13240, 269, 1889, 5501, 263, 20813, 573, 1878, 267, 2666, 4671, 337, 3578, 267, 2878, 29220, 16911, 994, 7884, 2162, 19105, 2836, 12299, 18438, 630, 19781, 2020, 763, 19105, 2836, 12299, 18438, 630, 19781, 264, 568, 3989, 607, 519, 3328, 6207, 3017, 1063, 519, 10567, 17831, 543, 519, 3020, 17831, 2066, 782, 25510, 780, 2414, 5173, 31984, 267, 649, 1101, 7941, 519, 11236, 883, 1269, 289, 259, 8449, 22274, 25510, 269, 1280, 1142, 10822, 1269, 321, 8961, 649, 5173, 519, 3328, 10567, 5506, 4399, 1002, 22669, 20731, 321, 259, 543, 519, 3020, 5506, 1269, 335, 10734, 10608, 634, 31984, 568, 1287, 2016, 676, 1384, 16465, 20728, 346, 19781, 348, 815, 1422, 2765, 346, 272, 2410, 289, 348, 1422, 8999, 3709, 321, 284, 272, 8703, 289, 348, 1923, 315, 1002, 22669, 20731, 321, 910, 533, 10734, 2008, 9681, 4131, 781, 2936, 519, 31984, 1362, 912, 3499, 7090, 454, 5035, 31984, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 30182, 2836, 12299, 18438, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 263, 19781, 267, 1582, 1040, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 269, 19781, 6357, 1231, 4917, 7884, 2162, 1401, 4624, 2836, 12299, 18438, 630, 4488, 292, 2020, 763, 1401, 4624, 2836, 12299, 18438, 630, 4488, 292, 264, 568, 3989, 607, 519, 22051, 3328, 540, 519, 6207, 3017, 1063, 519, 10567, 17831, 543, 519, 3020, 17831, 2066, 782, 25510, 780, 2414, 5173, 661, 4753, 267, 649, 1246, 519, 1482, 5650, 607, 31984, 267, 855, 3079, 540, 2921, 519, 3328, 267, 649, 5173, 513, 22051, 2040, 269, 634, 2597, 585, 1142, 10822, 568, 519, 8167, 540, 5439, 602, 2887, 883, 602, 10822, 269, 634, 661, 4753, 568, 2016, 676, 1384, 16465, 20728, 346, 4488, 292, 348, 815, 1422, 8999, 3709, 321, 284, 272, 8703, 289, 348, 1422, 2765, 23533, 10734, 2410, 301, 348, 1923, 315, 1002, 22669, 20731, 321, 910, 533, 10734, 2008, 9681, 3602, 1269, 333, 10734, 259, 568, 519, 1297, 540, 5439, 538, 10822, 1269, 321, 8961, 543, 1269, 301, 259, 568, 519, 2698, 1297, 540, 5439, 780, 4131, 781, 2936, 519, 661, 4753, 1362, 912, 3499, 7090, 454, 5035, 661, 4753, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 2750, 4624, 2836, 12299, 18438, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 269, 4488, 292, 6357, 1231, 4917, 7884, 2162, 26228, 2836, 12299, 18438, 630, 300, 4753, 2020, 763, 26228, 2836, 12299, 18438, 630, 300, 4753, 264, 568, 3989, 607, 519, 5021, 6207, 3017, 1063, 519, 10567, 17831, 543, 519, 3020, 17831, 2066, 782, 25510, 780, 2414, 5173, 631, 4753, 267, 649, 1246, 519, 1482, 5650, 607, 31984, 267, 855, 3079, 540, 2921, 519, 3328, 267, 649, 1265, 519, 5021, 6207, 3017, 269, 634, 631, 4753, 568, 2016, 676, 1384, 16465, 20728, 346, 300, 4753, 348, 815, 1422, 10946, 3709, 321, 1422, 514, 1422, 346, 272, 267, 1422, 24126, 267, 645, 315, 3686, 1923, 315, 1002, 22669, 20731, 321, 910, 533, 10734, 2008, 9681, 4131, 781, 2936, 519, 631, 4753, 1362, 912, 3499, 7090, 454, 5035, 631, 4753, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 16655, 3065, 2836, 12299, 18438, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 8160, 4753, 6357, 1231, 4917, 7884, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 723, 8268, 1614, 23363, 5470, 14573, 281, 31984, 267, 661, 4753, 267, 543, 631, 4753, 269, 1284, 723, 4121, 875, 547, 2936, 891, 14573, 1210, 519, 2387, 6339, 5632, 319, 5399, 538, 5124, 269, 1452, 14573, 1450, 721, 547, 6218, 519, 23363, 540, 938, 3684, 1565, 3631, 543, 2087, 741, 2773, 780, 3086, 602, 596, 723, 513, 4396, 1620, 540, 23363, 6959, 267, 596, 666, 4019, 891, 2035, 547, 707, 1378, 3684, 1565, 3785, 543, 1118, 811, 5483, 3664, 827, 2203, 5542, 543, 6268, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 6339, 5632, 318, 13240, 815, 2121, 5632, 318, 13240, 692, 825, 1219, 9041, 4818, 1393, 18692, 1038, 1582, 267, 1476, 573, 1878, 281, 5286, 269, 526, 6783, 267, 2666, 4671, 337, 3578, 281, 5286, 269, 526, 6783, 267, 2878, 29220, 16911, 454, 825, 3738, 9847, 10581, 912, 1038, 2132, 1582, 14492, 5632, 318, 13240, 269, 1889, 5501, 263, 20813, 573, 1878, 267, 2666, 4671, 337, 3578, 267, 2878, 29220, 16911, 9239, 5035, 31984, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 30182, 2836, 12299, 18438, 269, 654, 571, 1186, 1472, 2121, 5632, 781, 6388, 910, 585, 2417, 2542, 3277, 547, 2121, 5632, 781, 2703, 338, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 263, 19781, 267, 1582, 1040, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 269, 19781, 6357, 1231, 264, 9239, 5035, 661, 4753, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 2750, 4624, 2836, 12299, 18438, 269, 654, 571, 1186, 1472, 2121, 5632, 781, 6388, 910, 585, 2417, 2542, 3277, 547, 2121, 5632, 781, 2703, 338, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 269, 4488, 292, 6357, 1231, 264, 9239, 5035, 631, 4753, 263, 15187, 5632, 9773, 12299, 13286, 2187, 825, 5727, 16655, 3065, 2836, 12299, 18438, 269, 654, 571, 1186, 1472, 2121, 5632, 781, 6388, 910, 585, 2417, 2542, 3277, 547, 2121, 5632, 781, 2703, 338, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 25510, 281, 703, 815, 476, 1015, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 6339, 5632, 269, 5471, 7879, 8160, 4753, 6357, 1231, 264, 9239, 258, 570, 7495, 302, 281, 1205, 7759, 540, 713, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 3162, 4639, 4789, 267, 972, 6013, 513, 4190, 2749, 1572, 30290, 269, 898, 781, 1753, 547, 1082, 1114, 2010, 540, 5656, 910, 689, 2025, 28151, 543, 13039, 547, 6264, 544, 753, 687, 543, 18241, 1435, 338, 269, 5272, 8265, 7944, 6645, 513, 1650, 540, 2053, 8854, 676, 2439, 3080, 13566, 1554, 267, 1079, 1655, 2828, 3957, 15207, 543, 22123, 4956, 547, 2263, 741, 11537, 2749, 269, 1358, 15336, 1524, 25865, 4565, 9693, 10754, 267, 8098, 3931, 1142, 2679, 789, 4718, 269, 22582, 267, 789, 16686, 2390, 606, 3504, 7450, 512, 26786, 2476, 538, 513, 9602, 620, 2917, 3118, 269, 4354, 6685, 533, 31985, 267, 789, 15891, 13124, 8118, 519, 1212, 21294, 7450, 543, 9411, 513, 6456, 1330, 1399, 731, 4904, 609, 21219, 780, 257, 32452, 267, 1413, 693, 891, 10007, 10590, 608, 13094, 15207, 269, 834, 5445, 1590, 581, 2731, 2025, 4799, 306, 958, 21330, 23362, 269, 834, 296, 914, 789, 2811, 689, 519, 10120, 2085, 950, 29843, 6870, 519, 2749, 30882, 20755, 3240, 21266, 1540, 1010, 2212, 269, 834, 3719, 875, 2097, 789, 10093, 1405, 1835, 14217, 2943, 24350, 15124, 2243, 267, 15207, 256, 2334, 781, 1317, 7725, 543, 10007, 267, 899, 1346, 538, 519, 6821, 1472, 721, 267, 616, 1500, 909, 540, 6263, 5536, 1572, 6886, 269, 1452, 2178, 7777, 7554, 948, 3180, 3388, 1927, 267, 799, 2306, 519, 7725, 14463, 543, 11259, 547, 29056, 936, 942, 269, 29055, 267, 3884, 1405, 621, 2496, 2026, 789, 4797, 3695, 267, 789, 1336, 1286, 19133, 18995, 7381, 9635, 22892, 2066, 5318, 12084, 269, 2060, 2647, 4064, 267, 789, 16545, 12703, 3061, 1622, 10188, 30217, 748, 7297, 2509, 1007, 10600, 780, 257, 3963, 1705, 1004, 4734, 741, 5321, 547, 2951, 865, 2484, 2476, 8119, 9289, 22123, 16965, 563, 11039, 22123, 267, 1282, 1978, 21971, 267, 3425, 10244, 539, 2842, 1379, 547, 1628, 9635, 602, 13087, 3408, 543, 4123, 1063, 11397, 3338, 269, 901, 3366, 547, 2686, 5385, 543, 4687, 540, 2093, 1107, 782, 7064, 547, 3621, 6602, 2439, 9617, 1287, 267, 789, 4862, 3723, 25074, 16042, 269, 589, 29523, 5639, 16079, 539, 267, 834, 1607, 1858, 568, 1055, 7182, 256, 1411, 12582, 1405, 581, 1934, 4799, 11514, 1952, 31212, 267, 789, 2451, 519, 9589, 1747, 267, 16734, 602, 3006, 938, 7279, 5012, 721, 547, 3304, 9317, 4025, 267, 855, 849, 11414, 721, 2463, 585, 6302, 269, 3807, 899, 1620, 2326, 262, 3601, 2337, 8190, 8978, 3889, 267, 6616, 950, 547, 1900, 1394, 8952, 938, 3347, 16856, 1932, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 10527, 2626, 547, 519, 2243, 281, 1548, 568, 519, 2012, 540, 519, 2749, 602, 729, 10514, 539, 538, 519, 30290, 2349, 6308, 286, 568, 3330, 519, 2376, 281, 30290, 267, 519, 4102, 2749, 538, 3162, 4639, 4789, 267, 814, 606, 3235, 937, 545, 4999, 540, 11265, 6163, 267, 8151, 689, 519, 10120, 547, 476, 736, 628, 2540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 17615, 1377, 9538, 2052, 596, 2911, 513, 2370, 3787, 827, 875, 649, 666, 1332, 267, 7668, 267, 543, 6521, 938, 1648, 543, 7006, 601, 5892, 12145, 3661, 1949, 267, 1519, 2250, 911, 30864, 267, 543, 2942, 1582, 2389, 1779, 888, 763, 25564, 281, 1677, 1118, 1022, 1689, 267, 596, 1590, 2253, 676, 8744, 4656, 547, 875, 596, 1745, 269, 4495, 596, 1376, 972, 267, 596, 666, 19586, 875, 596, 3893, 972, 543, 1018, 596, 991, 547, 798, 547, 1711, 1689, 269, 29460, 6857, 3085, 1406, 4755, 16074, 269, 898, 3217, 1483, 942, 543, 11428, 269, 594, 4363, 9878, 2673, 3007, 547, 875, 596, 1745, 538, 1022, 2016, 3510, 269, 2334, 1164, 1377, 540, 4656, 666, 948, 596, 547, 1294, 950, 513, 3510, 568, 15779, 267, 796, 15276, 995, 267, 610, 2318, 269, 3245, 972, 267, 596, 666, 1118, 1689, 563, 306, 3873, 515, 523, 281, 1284, 616, 2141, 3843, 547, 6961, 1018, 649, 3494, 547, 581, 3020, 267, 2436, 610, 711, 602, 3661, 7959, 1434, 543, 16779, 267, 610, 4625, 12145, 269, 4107, 540, 721, 616, 12758, 538, 5312, 9979, 540, 3661, 1317, 649, 1832, 7446, 519, 1482, 3364, 2507, 7749, 532, 602, 621, 786, 581, 1114, 713, 942, 269, 1809, 519, 5168, 568, 267, 596, 1205, 547, 3442, 1018, 596, 3494, 269, 594, 5000, 596, 547, 4161, 1022, 540, 519, 2942, 4555, 267, 2093, 267, 4978, 610, 4606, 596, 2461, 7680, 269, 26419, 2007, 2620, 267, 14155, 622, 707, 9997, 547, 1265, 519, 5168, 585, 596, 269, 13298, 982, 8066, 5196, 930, 12816, 13050, 5133, 267, 1294, 1018, 4523, 950, 596, 1413, 693, 1272, 8335, 563, 2791, 3357, 1934, 547, 581, 9059, 256, 2142, 28450, 609, 3054, 269, 2334, 1582, 13282, 786, 13248, 856, 883, 519, 1158, 1472, 596, 563, 288, 3088, 281, 1548, 568, 661, 10499, 543, 875, 666, 1004, 798, 621, 888, 306, 3873, 515, 523, 281, 661, 10499, 610, 16508, 15213, 26435, 568, 513, 1505, 540, 16089, 2942, 4978, 543, 12758, 19367, 998, 513, 3126, 540, 2048, 339, 6260, 2798, 685, 593, 519, 1560, 269, 594, 1265, 661, 10499, 547, 581, 1360, 5363, 1317, 596, 2253, 1318, 1141, 596, 616, 269, 1703, 779, 1100, 8720, 909, 1346, 4606, 609, 930, 5485, 10420, 514, 14751, 566, 827, 2648, 543, 1769, 630, 2288, 594, 1589, 602, 666, 581, 5363, 607, 1134, 1040, 1306, 596, 979, 998, 513, 3126, 540, 26378, 17267, 596, 7519, 519, 1648, 5547, 538, 707, 1560, 543, 9637, 267, 799, 2636, 596, 547, 5305, 7161, 2394, 596, 666, 1265, 513, 1732, 4743, 563, 2252, 596, 2461, 4743, 14220, 1317, 540, 707, 7745, 2078, 267, 1287, 596, 1376, 609, 602, 269, 1411, 1131, 2253, 609, 513, 3948, 267, 971, 607, 267, 968, 10214, 1498, 1250, 2078, 568, 17528, 2507, 296, 8956, 543, 3398, 8885, 4628, 543, 4625, 1848, 2755, 18110, 713, 3948, 596, 7148, 1883, 2798, 540, 519, 1560, 585, 513, 1906, 21448, 267, 610, 2394, 596, 1100, 3476, 1745, 519, 3929, 5279, 540, 602, 4743, 563, 288, 3088, 281, 1411, 849, 1865, 1648, 27871, 543, 2618, 545, 30632, 2231, 538, 519, 1433, 269, 1215, 666, 1004, 3927, 4308, 609, 873, 543, 9156, 1022, 1648, 2530, 888, 306, 3873, 515, 523, 281, 5369, 545, 966, 2086, 2231, 3280, 2484, 1085, 926, 518, 982, 789, 2731, 616, 269, 23205, 16161, 6645, 721, 602, 966, 2086, 2231, 616, 7068, 602, 3049, 593, 1272, 3196, 269, 5369, 545, 30632, 2231, 521, 13023, 517, 2476, 1648, 607, 513, 6668, 7271, 1107, 2356, 713, 568, 513, 1268, 602, 596, 2170, 609, 703, 2954, 267, 855, 1256, 513, 13680, 7237, 610, 29872, 766, 666, 1491, 593, 519, 1909, 540, 513, 2618, 545, 30632, 790, 563, 15919, 713, 666, 581, 1360, 11029, 543, 1510, 1022, 4731, 823, 693, 782, 269, 4033, 2053, 621, 666, 3100, 1360, 6654, 543, 949, 25500, 883, 29880, 8513, 269, 10705, 596, 1294, 713, 538, 513, 13798, 8817, 2078, 282, 6056, 827, 519, 7649, 602, 3154, 7547, 741, 23947, 269, 2107, 267, 519, 2385, 602, 10874, 919, 741, 1126, 883, 19169, 269, 2107, 267, 519, 20148, 602, 1517, 8636, 956, 741, 5520, 547, 1745, 9120, 563, 3080, 540, 519, 14724, 2081, 547, 2697, 513, 2618, 545, 30632, 790, 568, 547, 5469, 950, 596, 1745, 27071, 1472, 1978, 1004, 269, 634, 16185, 547, 713, 568, 771, 1263, 1645, 689, 519, 1268, 543, 3510, 543, 4259, 2178, 6302, 269, 12971, 568, 519, 9059, 2262, 1996, 5369, 545, 966, 2086, 2231, 563, 307, 541, 582, 814, 11995, 7399, 267, 855, 519, 9059, 540, 13545, 582, 6013, 538, 922, 2702, 547, 1397, 721, 1919, 689, 513, 1114, 5133, 269, 898, 3947, 721, 513, 4960, 547, 723, 2620, 7391, 267, 547, 2736, 1524, 6821, 543, 7496, 267, 547, 1413, 3564, 519, 6302, 540, 938, 1378, 4216, 609, 9450, 4656, 563, 288, 3088, 281, 20154, 9882, 543, 26349, 707, 513, 3120, 568, 606, 1271, 851, 540, 4948, 1272, 269, 1684, 596, 723, 1022, 2123, 23278, 4925, 2404, 609, 2053, 950, 596, 4076, 1031, 2901, 519, 3043, 1769, 14839, 267, 22292, 1769, 14839, 267, 610, 27972, 752, 540, 3109, 6063, 23439, 14839, 286, 1403, 865, 267, 666, 596, 4766, 621, 888, 763, 25564, 281, 1879, 594, 1101, 3459, 1250, 4876, 607, 513, 13545, 582, 5467, 267, 594, 1131, 1419, 1205, 30701, 689, 519, 960, 269, 898, 779, 899, 594, 729, 21716, 782, 540, 1250, 7218, 685, 1648, 543, 8066, 593, 547, 621, 269, 594, 4769, 1406, 8275, 875, 4105, 5289, 9882, 729, 585, 8885, 693, 519, 942, 543, 713, 1291, 547, 6633, 856, 607, 1134, 607, 2101, 10465, 2152, 609, 683, 685, 518, 798, 19401, 269, 594, 3459, 1210, 513, 3043, 1769, 14839, 1169, 1554, 543, 602, 4957, 3388, 585, 803, 269, 5213, 1406, 1205, 803, 4636, 281, 594, 1869, 723, 2395, 1141, 519, 960, 4991, 896, 1250, 2960, 269, 1809, 519, 3043, 1769, 13104, 2337, 547, 1219, 937, 1034, 540, 621, 910, 543, 513, 2656, 14839, 1310, 960, 2337, 547, 6450, 2393, 519, 1769, 910, 543, 803, 563, 306, 3873, 515, 523, 281, 594, 3459, 2324, 609, 519, 3109, 6063, 23439, 14839, 607, 513, 21717, 950, 594, 1131, 1265, 8885, 538, 17116, 3871, 899, 6972, 883, 513, 1747, 602, 1522, 711, 581, 11806, 266, 7874, 610, 1141, 930, 4990, 540, 4655, 729, 2921, 1747, 269, 594, 1131, 4952, 8885, 20386, 538, 3109, 6063, 23439, 607, 513, 1259, 547, 21372, 803, 689, 2800, 267, 3592, 899, 4742, 15865, 547, 4896, 610, 3364, 602, 1522, 3077, 803, 269, 2311, 519, 1482, 942, 519, 1648, 540, 3109, 25309, 543, 18993, 2373, 2942, 1648, 2507, 594, 3494, 713, 568, 1946, 7793, 923, 267, 26734, 543, 1004, 593, 519, 535, 16206, 28040, 10028, 4724, 519, 2681, 3109, 563, 288, 3088, 281, 1215, 666, 649, 946, 519, 13545, 582, 547, 1831, 513, 811, 13998, 6857, 3196, 538, 713, 1158, 267, 513, 6174, 585, 1689, 267, 606, 24343, 267, 606, 19191, 888, 763, 25564, 281, 4197, 519, 1648, 540, 519, 1158, 1107, 543, 875, 596, 1522, 581, 1034, 2500, 1107, 666, 1118, 596, 513, 3196, 585, 1434, 269, 1284, 616, 2713, 538, 30223, 2053, 543, 519, 1158, 568, 711, 782, 2048, 331, 913, 543, 1769, 10200, 20579, 582, 2337, 721, 547, 1294, 1018, 949, 581, 2469, 593, 689, 1312, 519, 2318, 543, 519, 2942, 1107, 543, 23248, 267, 602, 26182, 721, 547, 1491, 2962, 563, 306, 3873, 515, 523, 281, 3414, 519, 13545, 582, 596, 666, 4894, 3054, 267, 1256, 1175, 513, 2370, 267, 689, 513, 3510, 865, 596, 666, 1265, 7399, 543, 4296, 602, 596, 1522, 723, 6382, 15763, 269, 594, 3494, 13545, 582, 20206, 12885, 513, 7096, 5168, 2507, 933, 616, 2484, 811, 4448, 982, 649, 917, 256, 1548, 594, 798, 547, 596, 267, 594, 993, 3257, 547, 8885, 543, 13030, 17930, 269, 20579, 582, 3587, 519, 8115, 1063, 669, 553, 916, 540, 771, 28947, 267, 543, 998, 1346, 4296, 649, 666, 12115, 14350, 543, 15217, 563, 29394, 779, 4063, 281, 901, 5967, 814, 1044, 12995, 585, 9355, 543, 3259, 563, 2414, 6718, 20579, 582, 585, 24410, 16940, 8648, 267, 4945, 1934, 610, 3643, 2037, 31008, 906, 262, 15839, 7146, 2173, 677, 541, 4558, 538, 1715, 3840, 4975, 563, 3528, 2549, 828, 595, 269, 10965, 3187, 454, 2304, 22539, 1007, 28542, 16064, 3181, 3176, 713, 3923, 543, 649, 2461, 936, 519, 7599, 827, 621, 269, 3371, 267, 649, 3717, 547, 2278, 9697, 16410, 1537, 827, 2081, 547, 946, 1200, 4898, 2685, 18338, 344, 5137, 563, 29272, 16410, 1537, 267, 513, 2899, 5432, 3068, 3297, 519, 2037, 31008, 906, 685, 3284, 6139, 322, 776, 4831, 267, 814, 1044, 28798, 1200, 14958, 585, 936, 476, 736, 1296, 269, 4173, 26813, 28542, 16064, 630, 1952, 10187, 2299, 1572, 634, 1975, 20635, 1546, 1188, 264, 568, 25888, 1790, 17977, 609, 476, 4281, 1347, 916, 267, 14319, 267, 543, 12738, 585, 26734, 10876, 269, 3502, 1152, 568, 621, 513, 3444, 1790, 656, 515, 517, 4199, 585, 1312, 19023, 9439, 543, 30226, 619, 547, 31783, 267, 621, 779, 849, 513, 18991, 2966, 960, 540, 1148, 563, 2026, 513, 18338, 779, 2820, 1588, 1907, 543, 16022, 3391, 267, 634, 1975, 20635, 1546, 1188, 568, 7745, 1524, 883, 5216, 24617, 268, 2017, 730, 6688, 1759, 593, 9837, 543, 9161, 269, 1703, 568, 519, 654, 3558, 779, 13088, 7121, 630, 1231, 697, 883, 782, 519, 18338, 344, 1612, 777, 615, 2522, 807, 649, 2648, 1070, 5678, 540, 18903, 630, 534, 7650, 540, 6698, 543, 521, 580, 2812, 1070, 645, 4637, 540, 11146, 630, 761, 783, 338, 585, 7067, 12271, 543, 1582, 2000, 913, 1070, 2806, 1495, 766, 543, 6153, 674, 28232, 630, 8072, 322, 1021, 649, 666, 782, 946, 513, 2370, 3063, 14859, 1040, 1703, 779, 849, 681, 2572, 540, 8830, 2305, 543, 20622, 531, 630, 1721, 26349, 267, 4027, 267, 543, 8220, 609, 519, 3618, 1070, 674, 2231, 540, 32425, 543, 27065, 630, 761, 783, 338, 585, 6612, 543, 10100, 1070, 2271, 30698, 17607, 630, 1721, 7393, 2820, 1588, 1070, 543, 654, 3558, 779, 5482, 8270, 1513, 630, 534, 7769, 10274, 543, 13299, 1916, 14881, 4941, 621, 547, 581, 513, 3391, 585, 31783, 269, 594, 4941, 547, 1305, 621, 909, 607, 2048, 1877, 616, 519, 2645, 596, 991, 547, 2259, 543, 1934, 781, 875, 596, 666, 4786, 621, 856, 16224, 892, 9697, 16410, 1537, 6645, 803, 936, 6995, 538, 5244, 32437, 835, 2038, 15489, 12784, 269, 968, 4517, 1287, 972, 616, 519, 1114, 6688, 602, 1107, 24080, 6340, 1107, 782, 3425, 1616, 547, 1921, 609, 267, 2436, 621, 781, 2648, 267, 1967, 267, 20932, 267, 4743, 2223, 1352, 3081, 563, 29272, 779, 6612, 585, 31783, 630, 663, 519, 21464, 4687, 540, 1200, 6791, 264, 568, 27621, 762, 711, 1152, 538, 1483, 1272, 267, 855, 849, 1369, 519, 2571, 16212, 540, 519, 30664, 764, 2406, 2966, 16064, 269, 898, 2934, 513, 8766, 626, 267, 7493, 3556, 1374, 1210, 513, 3575, 540, 2571, 581, 15607, 1790, 3855, 267, 11702, 3109, 18116, 267, 8152, 1117, 6067, 903, 267, 543, 544, 3176, 5835, 18565, 269, 1703, 616, 12600, 10346, 585, 1651, 1619, 543, 9589, 3282, 24025, 267, 543, 1142, 3556, 3568, 513, 3090, 602, 666, 581, 20077, 883, 513, 23156, 547, 3986, 707, 11963, 1740, 563, 3719, 596, 666, 849, 946, 519, 3556, 899, 513, 13545, 582, 16064, 281, 968, 296, 1616, 1004, 547, 3575, 873, 909, 267, 1404, 609, 873, 267, 3262, 873, 856, 543, 1287, 1175, 2186, 540, 1745, 621, 856, 543, 1294, 267, 1412, 17764, 267, 594, 4312, 13603, 10348, 540, 8776, 2583, 1862, 10472, 568, 513, 11600, 827, 6015, 10200, 6787, 610, 711, 596, 1745, 20916, 547, 1118, 713, 3169, 11600, 267, 6148, 26378, 883, 707, 6015, 568, 1945, 596, 1616, 547, 1589, 827, 2223, 9697, 3081, 563, 10527, 10348, 540, 8776, 2583, 11963, 568, 8748, 2223, 1352, 1660, 525, 269, 968, 296, 1118, 713, 3282, 585, 8885, 543, 594, 2648, 621, 269, 1809, 596, 1223, 849, 1175, 4444, 18367, 4532, 1619, 543, 602, 786, 960, 585, 6015, 269, 14986, 568, 2731, 1434, 547, 12115, 519, 2295, 543, 10538, 2337, 609, 4965, 3034, 2108, 4322, 616, 1250, 10372, 267, 855, 693, 519, 1439, 540, 519, 1554, 267, 594, 1810, 1405, 1616, 1004, 547, 1589, 789, 723, 547, 6108, 606, 14969, 2179, 540, 2724, 547, 581, 513, 18338, 267, 596, 917, 18313, 3383, 1018, 4010, 568, 9161, 286, 1656, 1946, 568, 621, 865, 1271, 538, 9589, 960, 286, 968, 2690, 803, 267, 9161, 568, 827, 2870, 513, 5094, 543, 10723, 4090, 538, 942, 1141, 596, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 5502, 267, 2119, 547, 5531, 1344, 689, 2789, 2959, 547, 1205, 513, 811, 1134, 25454, 1620, 540, 519, 3090, 781, 2495, 563, 3528, 1739, 891, 4388, 267, 596, 666, 1831, 811, 9952, 693, 16208, 6698, 543, 1620, 741, 4644, 269, 1306, 596, 1831, 811, 6899, 2542, 6698, 267, 596, 949, 849, 1265, 602, 789, 666, 1683, 5813, 883, 1114, 4529, 543, 3140, 5712, 267, 23429, 707, 1620, 540, 519, 1158, 1472, 596, 563, 303, 928, 9964, 18065, 29062, 4112, 7134, 454, 22349, 10635, 691, 20802, 946, 707, 4332, 5750, 547, 1711, 513, 4786, 22942, 532, 519, 1655, 10923, 6753, 585, 596, 543, 707, 19367, 269, 1215, 798, 596, 1224, 3444, 19173, 4806, 6698, 286, 898, 781, 849, 5280, 803, 609, 1250, 1582, 16162, 23002, 543, 814, 1044, 513, 1390, 1259, 585, 803, 547, 632, 3613, 816, 1310, 513, 1279, 1554, 269, 1411, 1131, 2356, 1294, 713, 3090, 593, 513, 4009, 610, 5180, 8546, 543, 513, 6676, 269, 7348, 938, 9509, 10281, 14989, 6698, 616, 513, 3044, 2966, 547, 1683, 513, 2312, 6041, 540, 875, 1142, 17453, 5057, 3252, 538, 513, 17453, 1062, 269, 1403, 596, 2811, 4712, 547, 1205, 3001, 543, 4228, 707, 20030, 267, 1224, 593, 256, 1403, 972, 568, 513, 2034, 4484, 267, 621, 568, 513, 2539, 2013, 269, 1280, 12765, 10549, 543, 7143, 1091, 267, 606, 590, 609, 513, 1297, 547, 519, 2451, 540, 513, 3090, 6920, 519, 3178, 540, 21774, 269, 1284, 849, 2709, 14850, 335, 5803, 1870, 3435, 585, 5234, 2866, 543, 4879, 563, 1692, 1677, 3367, 21969, 3429, 18671, 788, 11781, 29062, 286, 13159, 19247, 454, 763, 966, 3337, 2798, 20733, 269, 1548, 1281, 2098, 543, 513, 1611, 538, 13841, 27085, 21763, 547, 1451, 827, 13841, 6698, 585, 9240, 913, 7143, 1091, 286, 1306, 7074, 1657, 519, 1297, 547, 519, 1318, 540, 519, 15497, 1899, 540, 519, 2083, 2280, 3090, 568, 519, 3259, 538, 519, 2475, 713, 786, 581, 538, 6279, 8259, 6382, 7074, 269, 12539, 568, 2141, 519, 1101, 538, 1106, 543, 7250, 5205, 9436, 538, 513, 1106, 899, 19760, 274, 269, 4014, 891, 4441, 616, 3006, 2147, 267, 596, 1058, 917, 519, 3044, 602, 596, 1058, 946, 543, 875, 789, 616, 1114, 269, 13174, 543, 2257, 4634, 1498, 789, 616, 782, 9985, 5432, 267, 519, 6698, 1031, 538, 13004, 543, 2257, 666, 2014, 513, 2603, 540, 2042, 950, 596, 723, 547, 2161, 873, 267, 610, 1224, 873, 856, 10978, 552, 563, 8624, 4379, 281, 519, 1297, 540, 552, 2173, 5661, 538, 519, 2063, 1906, 2395, 538, 519, 19359, 540, 519, 7222, 19359, 538, 519, 2990, 540, 519, 5330, 550, 267, 593, 519, 4266, 540, 519, 3935, 333, 1228, 269, 1924, 621, 5654, 899, 513, 1793, 13589, 966, 269, 3776, 1543, 568, 711, 3177, 610, 20827, 676, 938, 6994, 23924, 269, 1358, 616, 849, 1031, 538, 14966, 609, 4704, 3515, 547, 3313, 519, 4087, 540, 7143, 1091, 269, 901, 568, 3592, 2760, 519, 2013, 593, 606, 4890, 5373, 267, 543, 3976, 621, 568, 1946, 621, 568, 1271, 547, 917, 519, 1114, 7143, 1091, 6698, 3254, 593, 519, 589, 16703, 29062, 15873, 269, 1411, 8749, 952, 621, 7472, 513, 6219, 269, 4033, 6698, 666, 2285, 596, 3606, 1344, 267, 971, 607, 513, 4009, 609, 513, 8880, 1899, 538, 519, 1647, 1797, 596, 1058, 3819, 519, 6221, 6366, 267, 610, 519, 18084, 13050, 27390, 3090, 267, 799, 6645, 596, 711, 547, 530, 2590, 519, 28630, 563, 2005, 1131, 1118, 621, 2653, 585, 7143, 10249, 547, 4137, 856, 1141, 547, 2322, 741, 7143, 1091, 267, 875, 1804, 789, 1058, 581, 267, 543, 1018, 2186, 540, 28891, 789, 1058, 946, 269, 769, 9119, 267, 14039, 3090, 568, 849, 5219, 547, 607, 5246, 574, 26433, 3586, 269, 634, 15561, 786, 849, 1448, 2509, 519, 5057, 602, 1131, 581, 5423, 609, 2582, 5423, 3334, 269, 2755, 13841, 6698, 666, 1413, 899, 9246, 30735, 923, 693, 1101, 16145, 267, 789, 616, 2965, 3833, 2653, 547, 4612, 2899, 596, 917, 875, 269, 634, 2990, 540, 519, 3090, 5673, 593, 1141, 519, 4745, 1131, 581, 269, 901, 3239, 949, 711, 581, 1031, 676, 824, 9988, 1510, 519, 2769, 2854, 9844, 540, 15825, 267, 5549, 563, 2414, 14458, 519, 7215, 267, 649, 666, 946, 1346, 5686, 540, 2418, 3079, 540, 1346, 6698, 269, 1403, 596, 666, 2736, 1524, 513, 8743, 518, 3090, 883, 4130, 2694, 267, 621, 568, 2965, 1360, 2653, 547, 1174, 1018, 621, 4564, 269, 12207, 723, 3964, 513, 10156, 6041, 540, 519, 3693, 267, 609, 741, 3114, 24795, 269, 634, 2920, 340, 2209, 616, 519, 6127, 799, 2014, 519, 11896, 547, 6521, 689, 835, 2990, 547, 1776, 269, 2060, 519, 948, 540, 6698, 267, 1978, 2035, 543, 2093, 616, 5693, 6045, 269, 1879, 596, 1294, 519, 2582, 13305, 12765, 28891, 4745, 267, 596, 723, 513, 476, 3393, 24266, 28891, 5423, 593, 1312, 5011, 540, 519, 6676, 563, 1432, 798, 519, 2338, 1611, 538, 3444, 19173, 286, 634, 8247, 568, 547, 1683, 519, 1702, 2556, 547, 1118, 519, 1318, 5542, 540, 519, 1082, 13841, 4632, 269, 12071, 528, 728, 568, 606, 1898, 3693, 585, 1272, 593, 3618, 267, 607, 621, 568, 1898, 585, 519, 10282, 540, 5946, 267, 5027, 267, 10717, 267, 26307, 267, 11950, 267, 31332, 7408, 543, 1082, 824, 6675, 269, 898, 1281, 10691, 13822, 2883, 267, 3656, 267, 610, 824, 5796, 540, 1022, 2186, 269, 2659, 4230, 10635, 691, 2762, 4786, 666, 1448, 596, 538, 519, 1318, 4287, 256, 853, 2086, 539, 3444, 3613, 3558, 3785, 2097, 538, 606, 5044, 540, 4190, 6272, 602, 666, 581, 588, 17097, 593, 3349, 743, 16251, 267, 844, 2830, 7161, 267, 23040, 9469, 267, 543, 811, 269, 6733, 693, 707, 5750, 543, 1293, 519, 1297, 540, 25573, 538, 1142, 4287, 269, 3245, 519, 3003, 2497, 543, 519, 1292, 6698, 547, 1256, 519, 24045, 6698, 267, 596, 786, 723, 547, 27655, 782, 6698, 543, 741, 10096, 952, 596, 1616, 547, 4612, 1022, 4702, 610, 21753, 5373, 269, 1717, 267, 596, 666, 7048, 593, 3544, 6351, 952, 596, 2154, 713, 2186, 540, 6044, 563, 763, 22367, 651, 12313, 267, 849, 1572, 519, 11644, 12313, 267, 713, 568, 519, 3902, 693, 799, 13632, 666, 581, 11751, 11910, 3681, 610, 4421, 10925, 3681, 1354, 519, 1163, 19418, 4266, 269, 4495, 596, 1205, 519, 13793, 540, 891, 28891, 6698, 267, 596, 1131, 581, 2111, 547, 3605, 1018, 789, 1611, 676, 1175, 1350, 3496, 693, 873, 593, 513, 5373, 269, 654, 15505, 13507, 11621, 1703, 616, 513, 3099, 540, 4441, 602, 28891, 6698, 666, 2743, 267, 1519, 519, 3703, 267, 4139, 267, 3864, 267, 543, 1977, 4441, 269, 634, 28891, 3090, 30193, 1063, 519, 1079, 5011, 540, 513, 4745, 676, 1210, 519, 15561, 543, 519, 5624, 1657, 543, 2630, 519, 4704, 1899, 269, 634, 3090, 568, 5116, 593, 1283, 540, 519, 4704, 1899, 689, 519, 2596, 28891, 3090, 563, 2414, 1491, 5413, 540, 891, 2934, 267, 1175, 1711, 513, 6075, 2272, 256, 623, 2176, 634, 1297, 540, 16788, 568, 3254, 676, 519, 1297, 540, 1439, 2798, 538, 513, 2016, 4216, 269, 634, 1034, 1455, 2010, 616, 2083, 2280, 7143, 1091, 267, 9240, 913, 7143, 1091, 267, 543, 5544, 7143, 1091, 269, 3371, 568, 513, 1592, 540, 4122, 1031, 6310, 6698, 609, 4408, 543, 10096, 269, 901, 729, 513, 2731, 2241, 7778, 540, 28891, 6698, 269, 634, 3090, 1131, 1413, 899, 513, 8880, 1899, 267, 543, 1287, 513, 7299, 1899, 1318, 538, 519, 1647, 593, 519, 8880, 1899, 269, 13298, 267, 596, 2268, 519, 20125, 3845, 689, 519, 4745, 3597, 547, 519, 28891, 3068, 540, 519, 6516, 15122, 28891, 269, 1403, 606, 3693, 814, 513, 1079, 268, 12072, 3090, 267, 519, 1101, 4484, 1058, 581, 2854, 538, 5580, 2013, 543, 519, 2034, 4484, 2539, 563, 1692, 1677, 3367, 654, 15505, 29062, 286, 634, 31597, 19247, 454, 2414, 1265, 519, 1374, 11563, 11098, 267, 1850, 3259, 267, 610, 1312, 267, 2338, 547, 519, 2451, 540, 519, 3090, 616, 1031, 269, 1411, 786, 849, 1294, 519, 1297, 1644, 547, 519, 8006, 269, 19556, 29062, 19556, 6698, 616, 1031, 547, 1685, 1585, 4238, 269, 898, 1281, 711, 960, 609, 6464, 267, 855, 3568, 5739, 5982, 269, 634, 1394, 19173, 568, 711, 5249, 2394, 782, 519, 3444, 25573, 723, 1044, 6192, 269, 1548, 798, 519, 2338, 593, 28891, 6698, 1611, 286, 1215, 798, 596, 1224, 23039, 29251, 585, 14987, 286, 1879, 13841, 609, 513, 6529, 610, 513, 13441, 2275, 648, 5911, 7143, 1457, 267, 596, 8749, 519, 11425, 610, 5911, 269, 901, 3239, 568, 711, 13931, 896, 519, 11300, 12780, 12689, 4294, 547, 1257, 1543, 543, 930, 824, 2592, 11540, 547, 519, 15825, 3896, 563, 3719, 2899, 596, 1174, 519, 2596, 28975, 3297, 891, 6698, 267, 789, 10393, 1831, 26526, 2241, 547, 1174, 269, 634, 12334, 267, 799, 2982, 519, 9668, 1063, 7740, 267, 568, 6719, 547, 519, 1318, 540, 519, 3259, 269, 901, 1797, 519, 1297, 540, 9211, 543, 519, 1297, 540, 22571, 829, 3693, 616, 3160, 269, 1215, 798, 649, 917, 950, 513, 3090, 4564, 811, 982, 835, 3693, 286, 901, 2427, 814, 1100, 15561, 610, 2230, 1657, 610, 2630, 621, 269, 634, 3334, 616, 519, 4704, 1899, 267, 15561, 267, 543, 3090, 269, 0, 22296, 2248, 539, 11242, 476, 736, 628, 4989, 268, 2190, 628, 4989, 454, 268, 634, 6402, 585, 595, 297, 12096, 517, 666, 581, 15600, 676, 25718, 543, 2250, 532, 519, 3095, 269, 3973, 3442, 519, 2953, 1362, 267, 2953, 1641, 543, 519, 2953, 1433, 269, 1280, 1383, 952, 596, 1616, 547, 1569, 22084, 344, 693, 13174, 267, 3442, 476, 277, 628, 1362, 3436, 1641, 13004, 3436, 3126, 22084, 344, 693, 13174, 269, 8437, 593, 519, 12835, 22290, 519, 2228, 1433, 543, 596, 786, 723, 1569, 547, 519, 1837, 563, 268, 1403, 596, 666, 1406, 960, 1022, 540, 519, 6402, 267, 1810, 1406, 5855, 269, 1452, 616, 6700, 2238, 269, 1403, 596, 723, 513, 13004, 1433, 610, 717, 2801, 559, 613, 1433, 269, 8347, 547, 798, 930, 4830, 960, 689, 602, 269, 634, 16679, 9142, 3896, 814, 13907, 540, 13004, 2238, 563, 268, 5213, 1406, 581, 16397, 610, 20358, 539, 269, 1684, 707, 1655, 543, 798, 607, 1454, 607, 596, 666, 9462, 502, 488, 8347, 707, 1655, 26008, 2336, 268, 15566, 609, 10076, 13174, 630, 272, 811, 3018, 540, 960, 1916, 268, 13159, 891, 18304, 281, 6744, 4267, 593, 519, 9498, 1700, 31353, 454, 2767, 269, 9834, 1535, 476, 279, 284, 476, 7918, 269, 2420, 1535, 476, 277, 284, 476, 3451, 269, 6924, 1535, 476, 280, 815, 476, 2420, 269, 8660, 1535, 476, 278, 815, 476, 2537, 269, 4962, 1535, 476, 274, 815, 476, 5952, 269, 6858, 1535, 476, 279, 21591, 4097, 269, 5400, 1535, 476, 1626, 815, 476, 4391, 269, 6795, 1535, 476, 3374, 284, 476, 3607, 269, 6812, 1535, 476, 2004, 815, 476, 866, 269, 2764, 1535, 476, 2190, 284, 476, 4366, 269, 6349, 1535, 476, 3393, 815, 476, 9834, 269, 4962, 1535, 476, 3451, 23751, 274, 269, 27768, 1535, 476, 276, 815, 476, 273, 269, 3607, 278, 1535, 476, 276, 815, 476, 275, 269, 6812, 280, 1535, 476, 277, 815, 476, 279, 269, 7818, 1535, 476, 280, 815, 476, 276, 269, 29616, 1535, 476, 278, 815, 476, 274, 269, 5400, 278, 1535, 476, 279, 21591, 268, 4179, 2517, 344, 719, 340, 269, 2041, 25773, 326, 289, 272, 344, 6261, 300, 310, 12028, 13772, 713, 3095, 543, 2328, 519, 1739, 21159, 607, 17447, 543, 8454, 630, 13678, 680, 1518, 519, 6824, 952, 596, 666, 1916, 268, 476, 1724, 9077, 476, 1428, 9077, 476, 4281, 9077, 476, 11011, 9077, 476, 2537, 9077, 476, 8618, 9077, 476, 11025, 9077, 476, 4200, 9077, 476, 1704, 9077, 476, 2004, 9077, 476, 4037, 14999, 268, 4179, 2517, 344, 719, 340, 269, 2041, 14121, 14176, 529, 5937, 303, 271, 334, 308, 901, 568, 513, 1360, 1434, 3381, 593, 7223, 267, 4585, 621, 547, 1174, 1018, 513, 4756, 568, 267, 952, 596, 666, 2491, 621, 596, 917, 621, 2336, 268, 15566, 609, 476, 272, 811, 3018, 779, 960, 540, 1975, 749, 13765, 630, 273, 3817, 1916, 268, 3503, 513, 19701, 7127, 1142, 1554, 19883, 875, 596, 6170, 707, 1554, 630, 31095, 519, 4266, 1142, 942, 1040, 3503, 513, 22281, 540, 707, 1554, 269, 1284, 666, 1224, 891, 547, 1142, 824, 950, 649, 2132, 563, 268, 3503, 513, 6648, 269, 630, 2005, 666, 581, 1035, 549, 10973, 610, 513, 2834, 6648, 609, 6586, 2719, 18627, 543, 9414, 543, 30164, 621, 1040, 634, 1888, 568, 14886, 1222, 269, 7151, 281, 674 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8889, 8549, 27545, 9730, 630, 294, 4338, 674, 3722, 1040, 634, 717, 4338, 674, 3722, 5713, 607, 606, 28007, 1560, 547, 717, 6347, 779, 23070, 593, 875, 717, 6347, 666, 946, 922, 11601, 2645, 543, 8128, 547, 3077, 519, 5207, 1790, 1874, 640, 5313, 11601, 2591, 269, 634, 717, 4338, 674, 3722, 1443, 2478, 593, 6932, 11601, 2152, 267, 2591, 267, 543, 3255, 547, 1489, 922, 1909, 607, 3013, 779, 23138, 269, 634, 3355, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15253, 18730, 543, 11588, 10029, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 8534, 1299, 11633, 9534, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 3245, 6355, 21733, 29792, 547, 12551, 15209, 281, 589, 23664, 13895, 18140, 3828, 626, 692, 296, 1869, 3314, 519, 1554, 594, 729, 2542, 909, 593, 930, 1870, 3377, 910, 1250, 5172, 2250, 830, 267, 1985, 1152, 547, 4509, 1250, 11537, 16983, 693, 1753, 269, 589, 30861, 4062, 540, 3377, 1185, 9575, 1250, 3750, 281, 834, 300, 1120, 518, 6282, 525, 16353, 27951, 9501, 305, 19860, 543, 8921, 601, 18058, 1701, 1306, 606, 25981, 1246, 518, 540, 782, 1919, 9746, 267, 594, 5433, 9599, 827, 971, 513, 7372, 4308, 2870, 3013, 781, 3791, 28376, 5985, 268, 7483, 2754, 269, 2608, 292, 4526, 569, 24682, 594, 798, 557, 4514, 883, 519, 3877, 540, 519, 1269, 3583, 16818, 11601, 780, 3719, 10393, 267, 1945, 15116, 5949, 282, 621, 7012, 1405, 1175, 1250, 2247, 21716, 5013, 543, 5515, 15042, 269, 3733, 4555, 1743, 26661, 2509, 875, 4241, 621, 1131, 581, 547, 19467, 1079, 1114, 2249, 540, 3165, 538, 1250, 16983, 256, 8786, 267, 1289, 803, 20868, 267, 855, 602, 779, 1018, 13395, 12348, 666, 798, 547, 707, 2634, 3006, 269, 898, 3323, 21030, 1836, 2614, 267, 3206, 827, 15095, 1216, 2175, 267, 8192, 2115, 267, 543, 2191, 14613, 540, 1585, 2249, 269, 1809, 4166, 2614, 1862, 645, 4456, 256, 1703, 621, 729, 910, 513, 2407, 1532, 31500, 6476, 28823, 538, 1250, 2212, 1063, 10128, 3818, 1532, 11669, 13362, 3549, 543, 796, 1746, 3309, 3506, 540, 9341, 3165, 780, 3086, 1577, 803, 2995, 596, 267, 9236, 513, 1870, 32421, 609, 5883, 606, 16983, 3884, 1405, 4010, 28125, 6643, 1570, 693, 960, 269, 1924, 6923, 267, 950, 4280, 1282, 12899, 1018, 594, 2219, 827, 519, 9501, 305, 19860, 268, 9202, 601, 17063, 5346, 267, 3079, 540, 7234, 5348, 25489, 610, 2344, 17282, 267, 594, 1336, 8885, 20747, 1154, 856, 267, 834, 11039, 267, 596, 917, 267, 4259, 909, 513, 3811, 16983, 3340, 2147, 4058, 10590, 595, 826, 26101, 16563, 4553, 676, 11821, 8188, 31325, 1394, 693, 803, 269, 19457, 1250, 2189, 1491, 593, 741, 3978, 4901, 4769, 1405, 3833, 979, 936, 607, 12347, 607, 594, 16545, 780, 4913, 267, 10452, 593, 713, 993, 6748, 10071, 2663, 5795, 803, 4030, 827, 8508, 938, 28031, 802, 543, 18653, 3544, 540, 938, 3318, 2729, 269, 769, 1249, 267, 891, 1360, 7592, 1118, 721, 811, 4277, 2043, 267, 5827, 540, 5373, 4296, 689, 9583, 19635, 10600, 269, 2755, 649, 1522, 333, 1405, 2141, 1265, 6000, 11303, 676, 1346, 945, 2671, 938, 15131, 267, 6679, 909, 666, 1291, 547, 21950, 7391, 543, 1256, 6793, 3347, 269, 2991, 782, 267, 9327, 1405, 596, 1616, 547, 5873, 1250, 5133, 593, 914, 3279, 3165, 17356, 1310, 6616, 594, 1246, 1870, 4203, 29792, 5702, 2496, 3383, 1934, 781, 547, 4687, 938, 8966, 10659, 540, 4690, 1510, 4250, 540, 10385, 1107, 2436, 789, 4125, 7421, 6006, 5777, 610, 512, 2056, 547, 14015, 8134, 269, 5221, 6038, 267, 1272, 568, 1932, 2110, 711, 547, 2972, 1312, 519, 10848, 540, 2518, 6080, 543, 519, 694, 1066, 640, 4547, 8521, 676, 10477, 27634, 15472, 30780, 3297, 4837, 6821, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 24685, 713, 4305, 267, 596, 616, 2016, 513, 3377, 2376, 269, 2659, 4305, 568, 547, 19665, 519, 2376, 547, 835, 856, 540, 519, 2185, 3584, 1412, 13328, 3299, 1412, 306, 7964, 3299, 1412, 19968, 3299, 1412, 306, 857, 20081, 3663, 262, 952, 519, 2376, 781, 1292, 1888, 568, 4143, 547, 519, 1158, 267, 5026, 267, 1870, 267, 543, 2257, 270, 974, 9592, 267, 5330, 5944, 269, 1403, 596, 616, 711, 2386, 827, 519, 1888, 267, 3442, 519, 14191, 4781, 269, 8074, 602, 15745, 338, 538, 519, 1257, 723, 1044, 8719, 609, 1496, 29791, 14073, 304, 281, 631, 1120, 518, 5932, 5985, 9649, 9501, 305, 19860, 543, 8921, 601, 18058, 616, 4397, 2038, 713, 3018, 547, 14773, 513, 8096, 3583, 5479, 630, 3607, 5479, 264, 7658, 1260, 338, 32421, 602, 786, 1711, 17113, 3791, 28376, 5985, 268, 7483, 2754, 267, 609, 476, 4375, 332, 5561, 563, 288, 912, 17780, 593, 519, 1344, 3177, 538, 519, 2243, 267, 519, 2376, 781, 1292, 1888, 568, 4143, 547, 513, 7658, 1260, 338, 32421, 1063, 9501, 305, 19860, 543, 8921, 601, 18058, 267, 799, 5932, 3013, 781, 3791, 28376, 5985, 268, 7483, 2754, 780, 2026, 713, 1888, 568, 1644, 547, 513, 1713, 1870, 4308, 267, 519, 3617, 8760, 585, 713, 2376, 786, 581, 1412, 19968, 262, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 7731, 1876, 568, 513, 2565, 1858, 540, 3656, 1353, 602, 9388, 609, 6927, 7282, 22686, 3347, 267, 1519, 7365, 267, 16028, 267, 1126, 26692, 267, 10073, 267, 543, 18472, 269, 2290, 3226, 4101, 2460, 540, 1920, 1876, 568, 8159, 1126, 26692, 12417, 1739, 519, 27072, 540, 513, 2078, 1063, 3237, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 10848, 540, 1126, 26692, 13882, 998, 519, 7828, 540, 513, 1164, 3491, 12803, 2013, 281, 519, 18379, 17505, 30781, 5451, 548, 345, 26035, 780, 296, 269, 17461, 593, 519, 18379, 17505, 30781, 5451, 548, 345, 8865, 692, 1103, 5437, 476, 1960, 280, 267, 2947, 4458, 6040, 18379, 17505, 30781, 5451, 548, 345, 15068, 513, 3771, 8089, 10935, 8009, 1055, 519, 5032, 540, 8419, 1247, 12394, 547, 22109, 547, 519, 2136, 2276, 609, 1010, 3993, 267, 945, 1705, 711, 7639, 519, 3460, 269, 16270, 15063, 267, 772, 2529, 269, 8128, 5116, 18379, 17505, 609, 1010, 6905, 1920, 538, 24543, 267, 26354, 513, 12699, 3486, 26692, 15539, 1063, 1010, 4651, 538, 18010, 543, 1010, 14077, 538, 519, 2136, 2276, 269, 3683, 1896, 3275, 267, 10470, 693, 1312, 519, 5313, 543, 1533, 2157, 12066, 1194, 609, 2055, 4478, 16278, 267, 16285, 267, 543, 519, 1655, 4690, 540, 519, 1126, 269, 11086, 267, 18379, 17505, 729, 8120, 547, 1010, 4651, 781, 26692, 538, 18010, 267, 25759, 519, 3810, 1857, 1242, 521, 15676, 780, 2862, 269, 4197, 808, 9766, 323, 12302, 12983, 538, 3955, 8063, 543, 4139, 31654, 1328, 2598, 1584, 525, 692, 288, 269, 31538, 4132, 31654, 1328, 808, 9766, 323, 2109, 543, 2037, 7593, 2920, 630, 308, 6717, 297, 12788, 2020, 2691, 5185, 609, 954, 8063, 26692, 13882, 20196, 568, 267, 2665, 5473, 1453, 23493, 538, 1114, 2829, 1369, 519, 772, 2529, 23102, 322, 712, 1206, 4019, 519, 31538, 4132, 31654, 1328, 808, 9766, 323, 2109, 543, 2037, 7593, 2920, 630, 308, 6717, 297, 12788, 1070, 799, 814, 1044, 7550, 676, 1169, 1533, 4849, 12590, 269, 634, 772, 6717, 297, 12788, 20964, 4808, 585, 8159, 799, 1533, 814, 16278, 547, 5873, 513, 1126, 26692, 2013, 543, 875, 3664, 1500, 538, 835, 1533, 1058, 581, 24451, 538, 1866, 269, 1280, 3236, 267, 952, 513, 1126, 814, 1713, 4296, 609, 2789, 2829, 1813, 547, 7928, 882, 6327, 267, 519, 1753, 1533, 3335, 25601, 16278, 8259, 621, 568, 5693, 28842, 1304, 585, 519, 5480, 547, 1118, 1999, 5209, 3823, 519, 1126, 781, 10304, 780, 289, 269, 4139, 1230, 6761, 692, 17220, 26692, 13882, 1459, 2189, 2591, 2094, 972, 949, 581, 1100, 7833, 1305, 540, 3652, 12044, 971, 7526, 2066, 2477, 269, 1717, 267, 930, 14908, 2832, 547, 2232, 891, 8374, 267, 899, 519, 670, 6558, 13482, 593, 519, 6406, 31834, 540, 4139, 4132, 2806, 9134, 269, 6178, 539, 676, 3875, 6082, 267, 1519, 519, 2136, 2276, 543, 18010, 267, 713, 14097, 11394, 547, 2149, 1453, 689, 4636, 995, 8851, 610, 12802, 13383, 543, 2327, 741, 5401, 2132, 547, 741, 2197, 540, 3110, 3770, 15335, 269, 898, 849, 7512, 9316, 1063, 3844, 8128, 3743, 585, 29466, 705, 2265, 539, 1453, 543, 14123, 741, 2922, 2132, 269, 11048, 267, 13253, 666, 8451, 950, 6105, 10990, 593, 2436, 513, 1126, 814, 1044, 4636, 2685, 6569, 610, 17477, 267, 3056, 547, 12675, 25036, 780, 7656, 269, 7454, 9314, 338, 540, 519, 4132, 9208, 692, 4263, 519, 2295, 540, 1022, 1126, 26692, 8990, 6013, 519, 14063, 7156, 281, 1018, 11460, 1131, 4196, 519, 1655, 4690, 540, 519, 1126, 286, 30271, 2708, 1585, 2188, 950, 1818, 713, 8990, 267, 971, 607, 1384, 265, 634, 2085, 543, 2790, 15657, 540, 519, 1126, 3248, 265, 634, 3929, 6125, 1063, 519, 1126, 543, 1142, 2385, 3248, 265, 3962, 2385, 781, 2702, 547, 1683, 513, 7123, 1604, 585, 519, 1126, 3248, 265, 7102, 1686, 540, 6057, 610, 10714, 3248, 265, 634, 7375, 540, 519, 1126, 267, 4470, 593, 741, 2085, 543, 1377, 540, 1620, 3248, 265, 634, 2686, 543, 3909, 4282, 540, 519, 1126, 282, 543, 454, 265, 634, 18515, 540, 1142, 2385, 547, 7520, 513, 2318, 2078, 1063, 519, 1126, 543, 519, 824, 2385, 780, 4353, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 21609, 26692, 12959, 1419, 7001, 2923, 3007, 543, 18427, 2178, 4664, 1851, 519, 2489, 1857, 269, 10765, 7835, 9414, 5571, 9840, 1472, 519, 1909, 540, 2528, 267, 6214, 267, 543, 1367, 2924, 538, 5935, 26692, 4093, 269, 6333, 267, 585, 1383, 267, 519, 2013, 540, 24898, 8493, 267, 513, 3703, 10867, 4171, 3237, 10692, 585, 519, 1318, 547, 3343, 8097, 2126, 585, 1010, 4686, 4719, 2783, 1996, 519, 16858, 540, 6413, 8387, 543, 5177, 10470, 269, 2755, 6038, 28336, 267, 713, 2013, 6659, 1271, 2055, 827, 2564, 7881, 267, 15366, 13190, 267, 543, 2229, 6304, 538, 4357, 1920, 12602, 780, 309, 269, 14506, 5999, 692, 2026, 596, 5490, 4514, 883, 519, 1950, 1158, 540, 1920, 1876, 543, 1126, 26692, 13882, 267, 2015, 519, 1739, 12987, 1384, 272, 269, 1215, 798, 2686, 3604, 1764, 16324, 3375, 6194, 538, 1126, 26692, 2665, 286, 9701, 16488, 1491, 6626, 6848, 2418, 883, 2272, 950, 20604, 12721, 6811, 585, 26692, 888, 273, 269, 1548, 616, 519, 1761, 4539, 540, 3850, 14761, 610, 1719, 2516, 547, 3310, 1126, 26692, 1999, 5209, 286, 2052, 5007, 12503, 2479, 17854, 1821, 11868, 689, 519, 1655, 4690, 3044, 888, 274, 269, 1879, 6236, 3486, 1126, 26692, 13882, 267, 875, 666, 10470, 3666, 2463, 585, 4914, 3656, 1949, 609, 4027, 540, 1453, 781, 8171, 543, 11091, 540, 4909, 1480, 2924, 888, 275, 269, 1677, 1018, 6708, 1058, 1875, 1790, 1861, 531, 3791, 6105, 630, 324, 3052, 1421, 22594, 267, 2848, 653, 1861, 338, 267, 17174, 6608, 264, 581, 3238, 538, 1126, 26692, 18659, 286, 3657, 972, 6381, 1141, 741, 9525, 1522, 25436, 27827, 602, 540, 513, 6211, 2385, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4432, 1014, 30781, 1446, 345, 10500, 1515, 3732, 1557, 454, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 991, 513, 6169, 780, 2026, 2938, 267, 519, 862, 32477, 3959, 3081, 602, 519, 1931, 538, 799, 1079, 610, 811, 2474, 616, 3773, 610, 16611, 786, 711, 1689, 519, 4611, 2040, 610, 1587, 269, 8921, 267, 519, 1997, 894, 3959, 540, 1840, 543, 8691, 786, 581, 4843, 780, 305, 2544, 692, 763, 1259, 1614, 610, 811, 2474, 616, 19882, 950, 3773, 1281, 711, 1860, 519, 1871, 540, 519, 2040, 780, 2690, 1383, 267, 2015, 519, 2040, 717, 29470, 543, 4946, 621, 547, 7472, 519, 1482, 1267, 607, 23454, 543, 4946, 621, 547, 454, 7712, 519, 4889, 894, 16296, 540, 18827, 568, 606, 24936, 558, 267, 621, 1281, 711, 991, 513, 6169, 563, 305, 2544, 692, 10112, 1539, 894, 16296, 540, 18527, 692, 763, 1259, 1614, 610, 811, 2188, 616, 19882, 950, 16611, 1281, 711, 1860, 519, 1871, 540, 519, 1587, 780, 2690, 1383, 267, 2015, 519, 1587, 717, 29470, 543, 14921, 621, 676, 7472, 519, 1482, 1267, 607, 23454, 543, 14921, 621, 676, 454, 7712, 519, 4889, 894, 16296, 540, 18527, 568, 606, 24936, 558, 267, 621, 1281, 711, 991, 513, 6169, 563, 4322, 2185, 3601, 666, 581, 1031, 267, 1927, 610, 14384, 267, 547, 27682, 606, 4082, 538, 513, 1114, 855, 6697, 1259, 563, 16954, 13658, 692, 28403, 1944, 4982, 20884, 25285, 692, 10521, 7215, 616, 6697, 950, 835, 540, 873, 568, 5833, 676, 7311, 3601, 540, 1840, 543, 8691, 547, 519, 824, 269, 1280, 1142, 6292, 540, 2016, 7215, 267, 3313, 2436, 789, 616, 6697, 269, 769, 519, 31077, 2013, 267, 2012, 519, 3959, 602, 21810, 835, 4082, 883, 519, 824, 780, 30206, 692, 27802, 23082, 25285, 692, 2691, 6061, 4834, 267, 972, 616, 8320, 538, 799, 930, 2694, 540, 606, 4082, 666, 581, 2655, 21114, 609, 606, 6697, 4082, 269, 1306, 606, 1383, 267, 2015, 519, 1739, 3830, 563, 7712, 11224, 519, 2034, 2165, 593, 519, 2451, 11804, 2427, 666, 581, 2655, 21114, 609, 454, 763, 3105, 5187, 2305, 568, 2111, 7064, 547, 519, 15240, 3191, 16296, 540, 25734, 267, 799, 849, 18715, 602, 519, 4611, 3830, 543, 519, 3355, 616, 6697, 563, 305, 2544, 692, 27802, 3191, 16296, 540, 25734, 692, 2252, 1079, 1483, 2338, 616, 3160, 267, 1287, 835, 666, 581, 2655, 21114, 585, 1776, 538, 1022, 4082, 780, 2252, 1287, 666, 581, 2655, 21114, 585, 538, 1022, 4082, 780, 7712, 519, 15240, 3191, 16296, 540, 25734, 568, 606, 24936, 558, 267, 621, 1281, 711, 991, 513, 6169, 563, 7078, 692, 307, 17687, 23586, 692, 1607, 6640, 538, 2257, 1362, 267, 570, 1228, 334, 543, 7395, 30445, 6511, 4121, 875, 547, 6460, 5232, 17622, 547, 18278, 1210, 519, 1739, 4542, 563, 30952, 267, 1247, 4189, 12899, 538, 519, 1153, 12881, 267, 789, 4718, 602, 519, 26282, 8612, 513, 2837, 540, 1358, 9289, 1018, 519, 2837, 1131, 581, 538, 17622, 269, 1677, 1118, 519, 7503, 267, 789, 1031, 519, 4542, 789, 4121, 538, 519, 6640, 269, 1717, 267, 789, 3893, 1114, 2164, 563, 8005, 568, 2953, 2496, 295, 842, 692, 7343, 569, 519, 15240, 3191, 16296, 540, 25734, 547, 3313, 945, 3893, 519, 2953, 2626, 269, 3399, 676, 2655, 23082, 585, 883, 519, 7503, 4542, 269, 3973, 267, 12990, 519, 2418, 570, 1228, 334, 543, 7395, 30445, 6511, 1336, 585, 1403, 513, 3020, 3948, 568, 5833, 267, 519, 7222, 1871, 568, 513, 3070, 282, 6382, 267, 621, 568, 711, 780, 11405, 692, 307, 1228, 334, 543, 7395, 30445, 6511, 1616, 547, 6460, 883, 5232, 17622, 269, 4475, 267, 676, 519, 15240, 3191, 16296, 540, 25734, 267, 666, 581, 2655, 21114, 585, 538, 519, 7503, 4542, 563, 26139, 267, 676, 519, 15240, 3191, 16296, 540, 25734, 267, 519, 2418, 1336, 676, 570, 1228, 334, 543, 7395, 30445, 6511, 786, 581, 2655, 21114, 585, 538, 519, 1657, 3830, 835, 693, 513, 942, 563, 5475, 2655, 23082, 1142, 1871, 543, 28976, 267, 952, 513, 3020, 3948, 568, 5833, 267, 519, 2655, 21114, 1871, 568, 513, 3070, 540, 519, 3830, 269, 19227, 267, 621, 568, 711, 269, 3689, 267, 786, 581, 2655, 21114, 563, 27802, 3482, 585, 543, 14458, 454, 288, 7301, 3948, 729, 5833, 267, 799, 5267, 602, 570, 1228, 334, 781, 2626, 568, 711, 2953, 269, 8921, 267, 12990, 7395, 30445, 6511, 781, 2626, 563, 27802, 3482, 585, 543, 14458, 454, 288, 3020, 3948, 729, 5833, 267, 799, 10522, 602, 7395, 30445, 6511, 568, 2953, 538, 6031, 602, 568, 519, 1482, 607, 454, 30206, 692, 18850, 1026, 5737, 16296, 540, 18527, 692, 1103, 1840, 547, 519, 862, 32477, 543, 1997, 894, 3601, 267, 8691, 814, 1776, 3730, 3959, 602, 2337, 538, 519, 1184, 540, 28976, 7215, 609, 24324, 269, 901, 3959, 568, 1572, 519, 20518, 5737, 16296, 780, 305, 2544, 692, 18850, 1026, 5737, 16296, 692, 11372, 28745, 513, 1297, 676, 519, 2040, 540, 1079, 610, 811, 1039, 1742, 7472, 519, 1482, 1267, 607, 14921, 519, 1297, 676, 1142, 1039, 754, 14350, 543, 1287, 4946, 782, 519, 2472, 1927, 780, 9616, 602, 519, 3815, 3544, 519, 24324, 568, 16611, 267, 610, 7856, 267, 547, 1169, 2165, 3330, 269, 634, 20518, 5737, 16296, 568, 1031, 547, 14458, 7215, 609, 24324, 563, 7712, 519, 20518, 5737, 16296, 568, 606, 24936, 558, 267, 621, 1281, 711, 991, 513, 6169, 563, 9616, 602, 267, 676, 519, 6641, 13240, 16296, 540, 25734, 267, 519, 20518, 5737, 16296, 666, 849, 581, 1031, 547, 1491, 856, 513, 1455, 3815, 538, 1079, 610, 811, 1039, 1742, 563, 1103, 930, 2665, 267, 519, 1318, 11804, 2427, 4082, 568, 811, 3730, 982, 519, 835, 593, 519, 2451, 563, 30206, 692, 306, 6295, 11638, 28157, 12307, 692, 2691, 6061, 4834, 267, 3006, 811, 982, 835, 1900, 568, 2877, 269, 5637, 519, 1297, 540, 3268, 543, 519, 4238, 2838, 4096, 593, 519, 6988, 540, 519, 2016, 3830, 269, 1280, 1383, 267, 2015, 519, 1739, 6292, 540, 4834, 780, 763, 2489, 2856, 568, 547, 14458, 1312, 5011, 540, 519, 3830, 543, 1287, 20586, 519, 4756, 593, 835, 2427, 540, 519, 3830, 269, 901, 568, 2356, 2944, 676, 10655, 782, 519, 4756, 2474, 593, 835, 2427, 540, 519, 4834, 543, 9256, 873, 269, 3973, 267, 519, 4238, 4294, 547, 519, 4756, 616, 3768, 821, 538, 9258, 1931, 780, 306, 6295, 17817, 630, 296, 2020, 13420, 566, 630, 296, 264, 3568, 513, 6824, 543, 24324, 563, 272, 454, 28733, 9977, 12330, 543, 28799, 6145, 16301, 593, 3962, 17121, 454, 10339, 663, 318, 3467, 454, 7343, 569, 519, 20518, 5737, 16296, 547, 2312, 519, 24324, 593, 519, 2451, 11804, 2427, 540, 519, 3830, 269, 769, 713, 2013, 267, 15814, 547, 1142, 2165, 3330, 519, 24324, 269, 3973, 267, 9192, 899, 2474, 593, 519, 2451, 11804, 2427, 563, 273, 454, 3674, 25544, 519, 24438, 454, 10339, 663, 318, 3467, 454, 7343, 569, 519, 16544, 540, 25734, 547, 20586, 519, 4756, 593, 835, 2427, 540, 519, 3830, 269, 769, 713, 2013, 267, 1101, 4019, 519, 25513, 16296, 540, 25734, 563, 763, 11664, 540, 519, 4756, 568, 513, 6824, 269, 634, 18527, 16296, 540, 25734, 666, 581, 1031, 547, 9062, 1312, 5011, 540, 519, 3830, 676, 519, 23483, 540, 519, 11664, 563, 2026, 971, 267, 568, 519, 3070, 540, 17817, 630, 296, 6393, 306, 6295, 17817, 630, 2862, 2020, 1103, 713, 3830, 267, 519, 4756, 568, 593, 1312, 5011, 540, 519, 3830, 563, 306, 6295, 519, 3830, 786, 2154, 519, 3606, 1900, 540, 10655, 519, 4632, 593, 835, 2427, 540, 519, 3830, 563, 272, 454, 28733, 9977, 12330, 543, 28799, 6145, 16301, 593, 3962, 17121, 454, 10339, 663, 318, 3467, 454, 7343, 569, 519, 20518, 5737, 16296, 547, 2312, 519, 24324, 593, 1142, 2427, 540, 519, 3830, 269, 1703, 616, 1100, 24324, 547, 2312, 538, 713, 3830, 267, 865, 1376, 676, 9256, 899, 2474, 3079, 563, 273, 454, 8624, 937, 519, 24438, 593, 2290, 17121, 540, 519, 17817, 454, 10339, 663, 318, 3467, 454, 7343, 569, 519, 16544, 540, 25734, 547, 2445, 782, 519, 4632, 593, 835, 2427, 540, 519, 3830, 269, 769, 713, 2013, 267, 1039, 547, 1312, 5011, 540, 519, 3830, 547, 1895, 519, 2474, 593, 519, 2451, 11804, 2427, 563, 274, 454, 3674, 25544, 519, 24438, 454, 10339, 663, 318, 3467, 454, 7343, 569, 519, 16544, 540, 25734, 1586, 547, 20586, 519, 4756, 593, 835, 2427, 540, 519, 3830, 269, 769, 713, 2013, 267, 1039, 547, 1312, 5011, 267, 1287, 7941, 1312, 5011, 540, 519, 3830, 676, 454, 1103, 3932, 267, 568, 519, 3070, 540, 17817, 630, 2862, 1916, 9616, 602, 519, 4238, 1031, 547, 4194, 12307, 630, 296, 264, 543, 630, 2862, 264, 949, 711, 581, 519, 1482, 607, 1346, 2838, 547, 4194, 513, 1114, 3830, 563, 7078, 692, 23804, 519, 2974, 783, 12313, 9122, 593, 519, 5494, 870, 539, 12313, 692, 4263, 18498, 781, 4829, 4558, 267, 22229, 616, 593, 9042, 256, 4653, 789, 616, 14949, 829, 11013, 982, 8912, 269, 7395, 30445, 6511, 11074, 693, 519, 4558, 593, 1200, 1259, 1753, 689, 1153, 543, 11751, 5216, 6550, 540, 22229, 269, 2701, 6976, 513, 2698, 540, 692, 320, 2913, 581, 519, 8912, 3902, 540, 835, 11013, 540, 22229, 269, 3503, 606, 3830, 267, 538, 2474, 540, 9781, 7395, 30445, 6511, 781, 6718, 563, 321, 1403, 570, 1228, 334, 11751, 3670, 6550, 540, 22229, 1079, 4374, 3516, 267, 875, 1454, 1705, 646, 2628, 2496, 295, 842, 692, 320, 4653, 267, 519, 2027, 3902, 829, 11013, 540, 22229, 568, 9489, 269, 25092, 713, 3902, 676, 519, 1297, 540, 6550, 11751, 676, 7395, 30445, 6511, 543, 1226, 622, 621, 547, 519, 2698, 2179, 1352, 6976, 563, 321, 5221, 570, 1228, 334, 11751, 22229, 1079, 4374, 3516, 267, 646, 6976, 519, 8912, 3902, 585, 873, 269, 16534, 519, 3830, 1305, 538, 3487, 589, 547, 1265, 519, 8912, 3902, 269, 3973, 267, 9062, 621, 676, 519, 1297, 540, 6550, 11751, 676, 570, 1228, 334, 780, 11405, 692, 320, 2913, 581, 519, 8912, 3902, 540, 835, 11013, 540, 22229, 269, 4340, 547, 18498, 781, 2709, 267, 519, 2027, 3902, 568, 14949, 829, 11013, 982, 519, 8912, 3902, 269, 4475, 267, 519, 2027, 3902, 11224, 519, 8912, 3902, 14263, 454, 4415, 713, 2027, 3902, 267, 7395, 30445, 6511, 6976, 585, 5216, 6550, 540, 22229, 269, 9182, 267, 16611, 676, 519, 568, 3160, 547, 519, 4635, 713, 1344, 267, 606, 3830, 538, 2474, 540, 666, 581, 3964, 563, 1607, 3830, 666, 581, 1031, 547, 3313, 519, 8912, 3902, 540, 513, 11013, 540, 22229, 563, 321, 4595, 570, 1228, 334, 11751, 519, 22229, 1079, 4374, 3516, 267, 646, 6976, 519, 8912, 3902, 269, 4475, 267, 1376, 676, 4466, 519, 8912, 3902, 676, 6061, 519, 3830, 1305, 538, 3487, 589, 563, 5575, 267, 4019, 519, 20518, 5737, 16296, 547, 2312, 519, 24324, 269, 3973, 267, 4019, 519, 16544, 540, 25734, 547, 20586, 519, 4756, 563, 1607, 1797, 602, 519, 8912, 3902, 540, 835, 11013, 540, 22229, 568, 1677, 1265, 875, 1454, 570, 1228, 334, 6976, 267, 9062, 2443, 519, 1297, 540, 6550, 646, 11751, 2443, 676, 519, 8912, 3902, 563, 3519, 8019, 267, 2063, 3018, 570, 1228, 334, 6976, 585, 3670, 6550, 540, 22229, 269, 8074, 602, 570, 1228, 334, 6976, 519, 1482, 607, 7395, 30445, 6511, 267, 855, 646, 11751, 6550, 7864, 563, 7078, 692, 306, 6295, 606, 17817, 2060, 25159, 593, 5637, 590, 1938, 692, 5475, 12129, 267, 7395, 30445, 6511, 1568, 593, 513, 2203, 540, 513, 14500, 1210, 21312, 585, 513, 1686, 1788, 269, 2701, 6499, 519, 6821, 540, 519, 15155, 30672, 547, 581, 6279, 2647, 269, 3958, 267, 1352, 6499, 519, 1871, 540, 519, 15943, 540, 519, 3774, 267, 538, 6279, 267, 547, 581, 519, 1482, 607, 519, 1871, 540, 922, 1858, 267, 538, 4009, 6279, 780, 1692, 1164, 1058, 519, 3774, 581, 2496, 295, 842, 692, 763, 1858, 540, 519, 3774, 568, 14263, 519, 1858, 540, 519, 1079, 1507, 25965, 693, 519, 1283, 269, 4982, 622, 519, 1858, 4082, 609, 519, 15943, 540, 519, 3774, 269, 3973, 267, 4194, 519, 3830, 585, 692, 11405, 692, 7712, 7395, 30445, 6511, 6499, 519, 3774, 547, 723, 519, 1482, 15943, 543, 1858, 267, 7488, 540, 519, 4559, 540, 2268, 267, 1376, 676, 4466, 519, 15943, 540, 519, 3774, 269, 1677, 798, 865, 267, 1039, 782, 519, 2427, 13080, 540, 519, 3774, 269, 18564, 602, 519, 10156, 5011, 540, 519, 1507, 25965, 723, 513, 3259, 540, 10759, 269, 18833, 713, 267, 519, 3259, 540, 519, 1283, 540, 519, 3774, 666, 581, 1336, 563, 763, 1318, 11804, 2427, 540, 519, 3774, 814, 519, 1482, 3259, 607, 519, 2451, 11804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 14329, 540, 14853, 281, 782, 1269, 297, 259, 4397, 1591, 12523, 616, 476, 276, 610, 811, 454, 1892, 12726, 568, 513, 2241, 4351, 3732, 689, 519, 2551, 269, 2334, 568, 267, 7422, 616, 4830, 540, 835, 1776, 454, 1892, 16338, 8464, 616, 7363, 7856, 538, 519, 2551, 454, 1892, 12726, 540, 3017, 8464, 568, 513, 2241, 4351, 3732, 689, 519, 2551, 540, 3017, 8464, 269, 2334, 568, 267, 3017, 8464, 616, 4830, 540, 835, 1776, 454, 1892, 12726, 540, 8424, 568, 513, 2241, 4351, 3732, 689, 519, 2551, 540, 8424, 269, 2334, 568, 267, 8424, 616, 4830, 540, 835, 1776, 454, 9616, 281, 713, 13429, 568, 1152, 1271, 585, 519, 4644, 1449, 267, 711, 585, 519, 9756, 11664, 3294, 269, 634, 9756, 11664, 3294, 1175, 3800, 519, 4222, 540, 519, 27865, 4577, 2078, 1063, 1079, 4632, 563, 1892, 769, 519, 2551, 267, 519, 1079, 4632, 616, 24973, 7363, 7856, 630, 10472, 6227, 519, 2343, 1275, 267, 4630, 657, 1027, 2880, 640, 267, 543, 5276, 640, 10054, 994, 1892, 12726, 540, 8424, 568, 513, 2241, 4351, 3732, 689, 519, 2551, 540, 8424, 269, 2334, 568, 267, 8424, 616, 4830, 540, 835, 1776, 454, 9616, 281, 891, 10054, 616, 1152, 1271, 585, 519, 4644, 1449, 543, 6015, 8884, 267, 711, 585, 519, 9756, 11664, 3294, 269, 634, 9756, 11664, 1175, 3800, 519, 4222, 540, 519, 5276, 2078, 1063, 1079, 4632, 563, 14818, 18802, 14818, 18802, 14818, 18802, 14818, 18802, 454, 259, 311, 317, 273, 815, 1422, 8999, 3189, 2765, 346, 7268, 3387, 2135, 346, 10849, 5703, 1591, 1293, 348, 910, 1422, 3387, 2135, 346, 1410, 4624, 1591, 1293, 348, 8203, 273, 7346, 3387, 2135, 346, 1410, 4624, 1591, 1293, 3686, 21456, 2080, 519, 4397, 1591, 1293, 585, 835, 1591, 815, 1269, 301, 1422, 9392, 1422, 7032, 19553, 8961, 519, 4767, 1591, 1293, 568, 519, 4767, 3732, 1293, 538, 602, 1482, 1591, 267, 543, 519, 2040, 568, 936, 782, 1269, 297, 259, 2281, 563, 259, 339, 815, 1422, 13320, 3189, 8663, 26635, 348, 910, 1422, 14153, 318, 271, 2410, 338, 1315, 1422, 6912, 346, 301, 3686, 14204, 2080, 4399, 8663, 26635, 4151, 568, 519, 3732, 1611, 540, 519, 3017, 8464, 267, 4399, 14153, 318, 271, 259, 568, 519, 2551, 1611, 540, 519, 3017, 8464, 2687, 547, 519, 14275, 8367, 267, 1269, 338, 259, 568, 519, 3732, 3044, 11539, 540, 519, 3017, 8464, 267, 543, 1269, 301, 259, 568, 519, 3732, 2450, 630, 15893, 540, 3017, 8464, 6393, 763, 14009, 1269, 338, 1315, 1422, 6912, 346, 301, 4151, 568, 519, 3044, 5470, 540, 519, 10386, 3892, 540, 4399, 8663, 26635, 23201, 634, 1269, 339, 259, 1871, 6920, 875, 1082, 3044, 6959, 4399, 8663, 26635, 4151, 568, 6569, 689, 4399, 14153, 318, 271, 259, 563, 259, 339, 815, 1422, 13320, 346, 337, 5334, 1422, 9392, 1422, 6912, 346, 301, 910, 476, 273, 24828, 6912, 346, 272, 910, 678, 5334, 317, 273, 3686, 14204, 2080, 1269, 337, 5334, 259, 568, 519, 3732, 4325, 1301, 534, 9756, 543, 1269, 301, 259, 568, 519, 3732, 2450, 269, 634, 3732, 4325, 1301, 534, 9756, 1269, 337, 5334, 259, 568, 3160, 547, 519, 21942, 9756, 4294, 547, 519, 7584, 8464, 563, 14818, 18802, 585, 4152, 670, 271, 281, 4399, 24838, 815, 476, 271, 259, 912, 1892, 1269, 339, 815, 1422, 13320, 346, 337, 1422, 9392, 1422, 6912, 346, 301, 910, 476, 273, 24828, 6912, 346, 272, 910, 678, 317, 273, 3686, 14204, 3602, 1269, 337, 259, 568, 519, 3732, 9756, 1269, 337, 815, 1422, 2765, 346, 272, 2410, 301, 910, 476, 272, 348, 1422, 8999, 3709, 329, 4153, 19136, 7268, 2765, 12757, 3709, 329, 348, 910, 1422, 8663, 12757, 12453, 338, 13448, 348, 1422, 19136, 264, 1422, 19136, 7268, 2765, 26635, 3709, 329, 348, 910, 1422, 8663, 26635, 12453, 338, 14729, 348, 1422, 19136, 7751, 543, 1269, 301, 259, 568, 519, 3732, 2450, 454, 14818, 18802, 585, 4152, 2418, 585, 4399, 24838, 259, 824, 982, 4399, 24838, 815, 476, 271, 259, 912, 1892, 1269, 345, 815, 1422, 13320, 346, 337, 3709, 293, 8718, 348, 910, 1422, 24838, 3709, 271, 3709, 293, 8718, 3686, 7346, 6912, 3189, 13320, 346, 272, 2410, 301, 910, 476, 274, 3686, 21456, 1892, 1269, 337, 3709, 293, 8718, 348, 815, 1422, 13320, 346, 272, 2410, 273, 348, 1422, 9392, 1422, 8421, 315, 19136, 326, 7268, 13320, 346, 272, 1341, 678, 2410, 272, 910, 678, 348, 1422, 19136, 326, 3738, 8961, 1141, 1269, 337, 259, 568, 519, 3732, 9756, 454, 1892, 4399, 24838, 3709, 271, 3709, 293, 8718, 3686, 815, 1422, 13320, 346, 272, 2410, 273, 348, 1422, 9392, 1422, 8421, 315, 19136, 326, 263, 1422, 13320, 346, 272, 1341, 1422, 24838, 318, 271, 2410, 272, 910, 1422, 24838, 318, 271, 348, 1422, 19136, 326, 3738, 8961, 1141, 4399, 24838, 318, 271, 259, 568, 519, 2551, 9756, 2687, 547, 670, 271, 454, 21579, 7204, 3892, 540, 1269, 311, 317, 273, 259, 952, 670, 271, 941, 3020, 21579, 7204, 3892, 540, 1269, 339, 259, 952, 670, 271, 941, 3020, 21579, 7204, 3892, 540, 1269, 339, 259, 952, 670, 271, 941, 3020, 21579, 7204, 3892, 540, 1269, 339, 259, 543, 540, 1269, 345, 259, 952, 670, 271, 941, 3020, 454, 7343, 6918, 2954, 519, 16584, 1606, 32464, 3892, 609, 1269, 297, 910, 476, 272, 259, 5232, 540, 5191, 259, 339, 259, 3892, 609, 1269, 301, 910, 476, 272, 259, 5232, 540, 5191, 7343, 6918, 2954, 519, 1269, 339, 259, 3892, 609, 1269, 301, 910, 476, 273, 259, 5232, 540, 5191, 21579, 7204, 3892, 540, 1269, 339, 259, 912, 1892, 1269, 339, 259, 3892, 609, 1269, 301, 910, 476, 273, 259, 5232, 540, 5191, 454, 21579, 7204, 3892, 540, 1269, 345, 259, 912, 1892, 27051, 519, 3044, 3339, 3892, 454, 14294, 881, 656, 286, 14294, 881, 656, 286, 14294, 881, 656, 286, 14294, 881, 656, 888, 1892, 6744, 952, 1269, 311, 317, 273, 259, 4767, 538, 3732, 568, 3160, 547, 610, 3677, 982, 2565, 1871, 1269, 311, 3867, 273, 265, 4151, 610, 454, 1892, 4855, 1269, 335, 259, 1871, 7222, 547, 4767, 1269, 311, 317, 273, 259, 543, 2638, 952, 621, 568, 3160, 547, 610, 4130, 982, 4399, 10401, 14204, 10521, 521, 3660, 912, 14738, 521, 3660, 912, 29381, 521, 3660, 912, 10521, 521, 3660, 912, 14738, 521, 3660, 912, 29381, 521, 3660, 912, 259, 339, 259, 4530, 1079, 521, 3660, 912, 259, 339, 259, 4530, 1318, 521, 3660, 912, 259, 339, 259, 4530, 2451, 521, 3660, 912, 259, 345, 259, 4530, 1079, 521, 3660, 912, 259, 345, 259, 4530, 1318, 521, 3660, 912, 259, 345, 259, 4530, 2451, 521, 3660, 912, 333, 18502, 269, 259, 290, 315, 260, 259, 6015, 8884, 585, 4399, 14153, 259, 333, 18502, 6993, 653, 6918, 1493, 1269, 290, 259, 260, 6015, 8884, 585, 4399, 24838, 14204, 268, 7445, 8663, 26635, 348, 1422, 10975, 512, 317, 265, 1422, 9392, 1422, 13320, 346, 338, 7346, 6912, 346, 301, 3686, 14204, 3602, 519, 2565, 1871, 1269, 339, 317, 265, 259, 568, 519, 1871, 896, 519, 1269, 339, 3709, 301, 268, 272, 4151, 3892, 609, 519, 1858, 1269, 290, 1315, 476, 1911, 259, 1063, 1269, 268, 339, 317, 265, 259, 543, 1269, 339, 317, 265, 259, 630, 324, 3052, 269, 1269, 339, 317, 265, 259, 815, 476, 273, 269, 5400, 277, 585, 513, 476, 4817, 260, 6015, 8884, 950, 17093, 815, 476, 736, 6393, 763, 6015, 8884, 585, 4399, 14153, 259, 666, 849, 581, 1031, 607, 4644, 1449, 563, 268, 5575, 12337, 519, 16977, 1269, 290, 259, 260, 6015, 8884, 585, 4399, 24838, 3709, 293, 8718, 4151, 912, 1892, 1269, 12294, 3709, 293, 8718, 348, 815, 678, 3709, 293, 8718, 348, 910, 1990, 317, 265, 1422, 9392, 1422, 6912, 3189, 13320, 346, 272, 2410, 301, 910, 476, 274, 3686, 14204, 1892, 1269, 21639, 3709, 293, 8718, 348, 815, 678, 3709, 293, 8718, 348, 1341, 1990, 317, 265, 1422, 9392, 1422, 6912, 3189, 13320, 346, 272, 2410, 301, 910, 476, 274, 3686, 14204, 3602, 1269, 337, 3709, 293, 8718, 348, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 1422, 8421, 315, 19136, 326, 7268, 13320, 346, 272, 1341, 678, 2410, 272, 910, 678, 348, 1422, 19136, 326, 3738, 259, 543, 519, 2565, 1871, 1269, 345, 317, 265, 259, 568, 519, 1871, 896, 519, 3339, 7455, 609, 519, 1858, 1269, 290, 1315, 476, 1911, 259, 1063, 1269, 268, 345, 317, 265, 259, 543, 1269, 345, 317, 265, 259, 630, 324, 3052, 269, 1269, 345, 317, 265, 259, 815, 476, 272, 269, 9834, 585, 513, 476, 4817, 260, 6015, 8884, 1916, 10190, 2981, 1394, 547, 1205, 519, 16977, 1269, 290, 259, 260, 6015, 8884, 585, 4399, 24838, 259, 912, 1892, 2539, 3808, 815, 4399, 13320, 346, 324, 3867, 273, 1422, 9392, 2539, 3709, 293, 8718, 3686, 910, 476, 272, 2410, 324, 3867, 273, 1422, 9392, 2539, 3709, 293, 8718, 3686, 1341, 476, 272, 21456, 1892, 5580, 3808, 815, 4399, 13320, 346, 324, 3867, 273, 1422, 9392, 5580, 3709, 293, 8718, 3686, 910, 476, 272, 2410, 324, 3867, 273, 1422, 9392, 5580, 3709, 293, 8718, 3686, 1341, 476, 272, 21456, 333, 18502, 9950, 977, 521, 714, 523, 18502, 269, 19187, 2906, 540, 519, 21942, 9756, 11664, 454, 15801, 1156, 781, 1269, 323, 259, 912, 24092, 1242, 3017, 1063, 519, 3732, 1611, 540, 519, 3017, 8464, 543, 4399, 14153, 318, 271, 259, 281, 3230, 323, 815, 1422, 2765, 3189, 8663, 26635, 348, 910, 1422, 14153, 318, 271, 2410, 338, 6525, 28137, 781, 1269, 323, 259, 6920, 875, 1082, 3044, 24017, 1269, 338, 259, 519, 3732, 1611, 540, 519, 3017, 8464, 4399, 8663, 26635, 4151, 568, 6569, 689, 4399, 14153, 318, 271, 269, 14204, 8894, 1892, 634, 21942, 9756, 11664, 568, 513, 2268, 585, 519, 5276, 2078, 1063, 1079, 11050, 4632, 563, 1892, 634, 21942, 9756, 11664, 16302, 9356, 519, 8167, 540, 13065, 6045, 538, 835, 4756, 676, 519, 824, 4756, 563, 1892, 634, 21942, 9756, 11664, 666, 1491, 593, 2418, 1063, 910, 272, 630, 704, 2739, 2942, 2078, 264, 543, 476, 272, 630, 704, 2739, 2318, 2078, 1040, 589, 1871, 540, 476, 271, 1797, 1100, 5276, 2078, 563, 1892, 634, 6207, 2450, 540, 519, 21942, 9756, 11664, 568, 711, 4299, 676, 1022, 5276, 7004, 540, 519, 4632, 269, 1717, 267, 519, 1129, 540, 519, 21942, 9756, 786, 16212, 950, 519, 8464, 593, 835, 540, 519, 1079, 4632, 616, 16611, 676, 513, 2942, 1297, 630, 516, 951, 532, 519, 4287, 540, 6482, 540, 602, 4756, 1916, 2690, 1383, 912, 1892, 519, 9756, 1063, 1269, 343, 259, 543, 1269, 344, 259, 568, 6697, 547, 519, 9756, 1063, 1269, 274, 343, 1341, 476, 276, 259, 543, 1269, 273, 344, 910, 476, 277, 259, 563, 1892, 519, 6207, 1871, 540, 519, 9756, 1063, 1269, 343, 259, 543, 1269, 344, 259, 568, 6697, 547, 519, 6207, 1871, 540, 519, 9756, 1063, 1269, 268, 274, 343, 1341, 476, 276, 259, 543, 1269, 273, 344, 910, 476, 277, 10608, 1717, 267, 519, 4191, 540, 519, 1079, 9756, 14170, 786, 581, 538, 6587, 8846, 267, 1813, 547, 519, 8691, 540, 1269, 343, 259, 676, 1269, 268, 274, 259, 563, 1892, 634, 21942, 9756, 11664, 1281, 711, 2161, 4376, 827, 1757, 1275, 563, 1892, 634, 21942, 9756, 11664, 568, 6213, 547, 856, 11502, 563, 333, 18502, 269, 24058, 6041, 333, 18502, 8542, 18502, 563, 734, 8894, 333, 18502, 9950, 638, 20884, 9522, 18502, 9950, 638, 20884, 547, 454, 8894, 1892, 2290, 3732, 1269, 339, 259, 1449, 593, 519, 3017, 8464, 563, 1892, 15901, 730, 3800, 30654, 609, 835, 27524, 582, 10535, 1369, 5396, 3815, 563, 268, 5357, 306, 9695, 609, 835, 4830, 4756, 912, 1892, 1269, 321, 318, 272, 815, 678, 1422, 9392, 1422, 2765, 346, 338, 14729, 2410, 338, 13448, 21456, 1892, 11778, 4644, 1449, 18121, 339, 259, 543, 1269, 335, 259, 1871, 264, 4152, 1269, 295, 318, 271, 259, 281, 4399, 15883, 318, 272, 815, 476, 271, 259, 616, 6697, 547, 2164, 4644, 1449, 4152, 1269, 295, 318, 271, 259, 281, 4399, 24838, 815, 476, 271, 14204, 7078, 2796, 7078, 2796, 7078, 2796, 7078, 2796, 454, 3674, 519, 8167, 540, 1004, 609, 513, 1970, 267, 9793, 267, 543, 1164, 1514, 2804, 4567, 538, 519, 2551, 1114, 689, 4399, 7032, 3709, 869, 348, 815, 476, 271, 269, 273, 267, 259, 4399, 7032, 3709, 7116, 4733, 348, 815, 476, 271, 269, 277, 267, 259, 543, 4399, 7032, 3709, 14683, 348, 815, 476, 271, 269, 273, 259, 286, 3674, 519, 3328, 3017, 1063, 519, 2790, 1072, 8464, 1354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 301, 272, 2073, 715, 273, 267, 715, 274, 267, 715, 275, 815, 1193, 9272, 3890, 1040, 20889, 14052, 301, 272, 815, 10581, 18217, 272, 5148, 715, 273, 815, 10581, 18217, 273, 5148, 715, 274, 815, 10581, 18217, 274, 5148, 715, 275, 815, 10581, 18217, 275, 3418, 300, 2664, 777, 815, 16733, 301, 272, 265, 273, 11924, 263, 301, 273, 265, 274, 11924, 263, 301, 274, 265, 275, 11924, 263, 301, 275, 265, 272, 4297, 14370, 273, 266, 274, 266, 275, 266, 272, 3418, 2745, 2891, 300, 4215, 281, 2715, 15545, 272, 325, 348, 2668, 8971, 29687, 2664, 777, 17903, 604, 29687, 2664, 777, 13843, 476, 278, 269, 271, 8029, 825, 1820, 2891, 2704, 684, 334, 513, 25075, 5964, 1701, 3418, 19197, 29687, 2664, 777, 2999, 476, 276, 269, 271, 8029, 825, 1820, 2891, 2704, 684, 334, 1065, 22201, 5964, 1701, 3418, 19197, 29687, 2664, 777, 13843, 476, 276, 269, 271, 543, 2405, 328, 777, 10922, 476, 277, 269, 280, 8029, 825, 1820, 2891, 2704, 684, 334, 900, 608, 877, 1701, 3418, 825, 715, 1410, 877, 815, 10581, 9272, 3890, 3418, 825, 1820, 2891, 301, 7974, 798, 608, 877, 281, 2715, 15545, 272, 325, 348, 2668, 8971, 18217, 1410, 877, 17903, 825, 715, 332, 4215, 815, 630, 300, 2664, 777, 1341, 715, 1410, 877, 264, 1315, 476, 273, 1477, 825, 952, 18217, 332, 4215, 13843, 476, 276, 269, 271, 543, 715, 332, 4215, 10922, 476, 1015, 269, 271, 8029, 1038, 1820, 2891, 2704, 684, 334, 513, 25075, 5964, 1701, 3418, 825, 3116, 6769, 1038, 1820, 2891, 2704, 684, 334, 1065, 22201, 5964, 1701, 3418, 825, 1820, 2891, 300, 4215, 3803, 281, 2715, 15545, 272, 325, 348, 2668, 8971, 18217, 332, 4215, 264, 10142, 0, 18851, 6635, 11037, 18851, 5897, 24884, 291, 815, 703, 9272, 3890, 3418, 288, 815, 1496, 8618, 267, 10170, 267, 1556, 267, 2641, 267, 3953, 267, 866, 267, 2767, 267, 4029, 15947, 5746, 815, 22373, 289, 6652, 23158, 14824, 21946, 341, 11456, 14824, 306, 7776, 6754, 334, 14824, 305, 1470, 632, 13191, 10098, 14824, 17315, 714, 632, 1280, 320, 14824, 290, 2086, 21590, 14824, 309, 3218, 807, 14824, 14582, 334, 21222, 517, 974, 257, 15947, 290, 815, 476, 271, 1477, 604, 20573, 24884, 538, 589, 8029, 825, 1247, 18154, 2999, 476, 279, 8029, 1038, 952, 20573, 24884, 2652, 589, 314, 290, 316, 8029, 2018, 1820, 263, 5746, 314, 290, 29573, 1038, 595, 6834, 476, 272, 1477, 12828, 6769, 825, 1820, 2891, 24884, 291, 562, 7776, 20017, 770, 2784, 334, 257, 10142, 18851, 291, 14397, 5897, 333, 815, 703, 9272, 3890, 3418, 320, 815, 1496, 8618, 267, 10170, 267, 1556, 267, 2641, 267, 3953, 267, 866, 267, 2767, 267, 4029, 15947, 321, 815, 22373, 289, 6652, 23158, 14824, 21946, 341, 11456, 14824, 306, 7776, 6754, 334, 14824, 305, 1470, 632, 13191, 10098, 14824, 17315, 714, 632, 1280, 320, 14824, 290, 2086, 21590, 14824, 309, 3218, 807, 14824, 14582, 334, 21222, 517, 974, 257, 15947, 322, 815, 476, 271, 1477, 604, 562, 538, 513, 6769, 825, 1247, 630, 322, 2999, 476, 279, 8029, 1038, 952, 630, 333, 2652, 513, 314, 322, 316, 8029, 2018, 1820, 6357, 314, 322, 29573, 1038, 524, 6834, 476, 272, 1477, 12828, 6769, 825, 1820, 2891, 24884, 291, 562, 7776, 20017, 770, 2784, 334, 14744, 18851, 1477, 0, 3698, 561, 2644, 263, 671, 338, 8029, 825, 1948, 1038, 476, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 1477, 825, 561, 2644, 815, 1496, 277, 267, 273, 267, 276, 267, 276, 267, 275, 267, 276, 267, 277, 267, 274, 267, 278, 267, 277, 15947, 825, 521, 815, 476, 271, 1477, 825, 585, 533, 538, 561, 1091, 6769, 1038, 521, 6834, 561, 2644, 27776, 9638, 13580, 1477, 24541, 825, 1820, 4433, 267, 834, 1194, 338, 257, 10142, 1721, 513, 538, 2039, 17301, 9272, 28829, 8029, 825, 561, 2644, 9272, 3890, 3418, 0, 1012, 2745, 2891, 4596, 291, 5456, 302, 825, 661, 9915, 4488, 9281, 32177, 383, 485, 12728, 302, 825, 28217, 383, 485, 302, 14744, 1012, 2745, 2891, 272, 1363, 595, 778, 528, 549, 2372, 25366, 476, 681, 259, 275, 269, 876, 14744, 1012, 2745, 2891, 273, 1363, 2473, 4149, 531, 3385, 1363, 681, 259, 275, 269, 2004, 14744, 1012, 2745, 2891, 274, 1363, 2473, 5174, 13154, 16875, 681, 259, 276, 269, 876, 14744, 1012, 2745, 2891, 275, 1363, 8776, 2784, 320, 3244, 1255, 476, 681, 259, 273, 269, 876, 14744, 1012, 2745, 2891, 276, 1363, 4676, 3419, 518, 14397, 672, 681, 259, 272, 269, 2004, 14744, 290, 617, 15282, 267, 10829, 573, 1228, 14403, 815, 1193, 9272, 3890, 1040, 20889, 14052, 290, 617, 15282, 815, 703, 18154, 617, 15282, 3418, 23797, 573, 1228, 14403, 815, 703, 263, 23797, 573, 1228, 14403, 3418, 258, 9473, 328, 9809, 383, 369, 525, 3474, 320, 5463, 573, 597, 589, 14956, 23843, 1477, 604, 18154, 617, 15282, 2652, 476, 272, 8029, 825, 3281, 571, 815, 10829, 573, 1228, 14403, 2608, 476, 275, 269, 876, 1477, 19197, 18154, 617, 15282, 2652, 476, 273, 8029, 825, 3281, 571, 815, 10829, 573, 1228, 14403, 2608, 476, 275, 269, 2004, 1477, 19197, 18154, 617, 15282, 2652, 476, 274, 8029, 825, 3281, 571, 815, 10829, 573, 1228, 14403, 2608, 476, 276, 269, 876, 1477, 19197, 18154, 617, 15282, 2652, 476, 275, 8029, 825, 3281, 571, 815, 10829, 573, 1228, 14403, 2608, 476, 273, 269, 876, 1477, 19197, 18154, 617, 15282, 2652, 476, 276, 8029, 825, 3281, 571, 815, 10829, 573, 1228, 14403, 2608, 476, 272, 269, 2004, 1477, 2745, 2891, 13707, 281, 681, 259, 2715, 15545, 273, 325, 348, 2668, 8971, 263, 15253, 571, 264, 10142, 0, 333, 815, 703, 9272, 3890, 3418, 4289, 320, 815, 1496, 15947, 1721, 524, 538, 2039, 3799, 8029, 825, 30458, 6910, 2891, 295, 334, 14744, 825, 561, 815, 834, 834, 269, 21860, 17338, 320, 3418, 1721, 24924, 538, 2039, 263, 1428, 8029, 825, 952, 12759, 17338, 320, 264, 3436, 476, 1428, 8029, 1038, 1820, 2891, 24001, 256, 2668, 8971, 10857, 17903, 825, 8640, 12759, 17338, 320, 264, 2999, 476, 1428, 8029, 1038, 1820, 2891, 24001, 256, 2668, 8971, 10857, 264, 10142, 0, 2254, 320, 815, 476, 271, 282, 544, 815, 476, 271, 282, 1566, 815, 476, 272, 1477, 6112, 263, 641, 2652, 476, 272, 8029, 825, 1247, 263, 2254, 320, 2999, 476, 273, 8029, 1038, 715, 815, 10581, 9272, 3890, 3418, 1038, 952, 18217, 2999, 476, 271, 269, 271, 610, 715, 3436, 476, 1015, 269, 271, 8029, 2018, 1820, 2891, 2254, 320, 1045, 531, 5866, 14744, 1038, 952, 18217, 13843, 476, 271, 269, 271, 543, 715, 10922, 476, 1015, 269, 271, 8029, 2018, 711, 320, 6834, 476, 272, 1477, 2018, 544, 6834, 715, 1477, 825, 1820, 2891, 332, 4215, 815, 2715, 15545, 273, 325, 348, 2668, 8971, 9852, 270, 273, 17903, 825, 1247, 6936, 6769, 1038, 1566, 815, 703, 9272, 2891, 2617, 334, 2301, 334, 630, 272, 1606, 574, 476, 273, 268, 3534, 334, 9385, 333, 8442, 3418, 1038, 711, 320, 815, 476, 271, 282, 544, 815, 476, 271, 1477, 1038, 952, 263, 641, 2652, 476, 272, 610, 1566, 2652, 476, 273, 8029, 2018, 2736, 1477, 0, 320, 284, 6358, 2891, 1485, 284, 5602, 321, 284, 6358, 2891, 4067, 5602, 323, 284, 6358, 2891, 4067, 5602, 324, 284, 6358, 2891, 4067, 5602, 322, 25507, 9272, 263, 2891, 341, 1774, 547, 14307, 321, 21875, 325, 25507, 9272, 263, 2891, 341, 1774, 547, 14307, 323, 21875, 326, 25507, 9272, 263, 2891, 341, 1774, 547, 14307, 324, 21875, 604, 513, 2525, 257, 332, 10185, 13426, 825, 1820, 2891, 4134, 1723, 786, 556, 937, 5602, 825, 952, 630, 322, 285, 325, 543, 524, 285, 326, 2187, 1038, 1820, 6357, 2437, 342, 328, 559, 547, 1167, 334, 5602, 825, 8640, 6600, 285, 322, 543, 535, 285, 326, 476, 2187, 1038, 1820, 5560, 2437, 15884, 581, 546, 545, 810, 5602, 825, 8640, 14116, 285, 322, 543, 575, 285, 325, 2187, 1038, 1820, 16216, 2437, 342, 328, 559, 581, 1167, 334, 5602, 604, 513, 2525, 257, 339, 11698, 13426, 825, 1820, 2891, 339, 261, 335, 786, 9550, 5602, 825, 952, 6262, 285, 325, 543, 524, 285, 326, 2187, 1038, 1820, 6357, 2437, 15884, 581, 570, 261, 303, 5602, 825, 8640, 6600, 285, 322, 543, 535, 285, 326, 2187, 1038, 1820, 5560, 2437, 15884, 581, 570, 261, 335, 5602, 825, 8640, 630, 326, 285, 322, 543, 575, 285, 325, 2187, 1038, 1820, 16216, 2437, 15884, 581, 570, 261, 335, 5602, 604, 513, 2525, 257, 14954, 11888, 13426, 825, 1820, 2891, 25988, 4717, 13541, 786, 581, 9550, 5602, 825, 952, 6262, 285, 325, 543, 524, 285, 326, 2187, 1038, 1820, 6357, 267, 834, 15884, 581, 535, 261, 322, 5602, 825, 8640, 6600, 285, 322, 543, 535, 285, 326, 2187, 1038, 1820, 5560, 2437, 15884, 581, 535, 261, 322, 5602, 825, 8640, 14116, 285, 322, 543, 575, 285, 325, 2187, 1038, 1820, 16216, 2437, 15884, 581, 535, 261, 322, 5602, 12828, 912, 825, 1820, 2891, 4820, 344, 737, 13873, 613, 521, 321, 5602, 0, 1003, 25507, 9272, 2891, 10938, 519, 1297, 6889, 4917, 6112, 16325, 27045, 1015, 2187, 825, 952, 16325, 260, 273, 2525, 271, 2187, 1038, 1820, 2891, 16838, 1003, 2580, 11133, 994, 825, 3116, 912, 1038, 1820, 2891, 15957, 1003, 2580, 11133, 994, 825, 1003, 284, 11133, 266, 272, 7531, 258, 1003, 284, 272, 454, 258, 1297, 25507, 9272, 2891, 10938, 519, 1297, 815, 834, 11723, 258, 1247, 16325, 27045, 15893, 2187, 258, 672, 952, 16325, 260, 1015, 2525, 273, 2187, 258, 1363, 952, 16325, 260, 273, 2525, 271, 2187, 258, 17264, 1820, 16325, 2437, 16838, 1297, 5602, 258, 1363, 3116, 912, 258, 17264, 1820, 16325, 2437, 15957, 1297, 5602, 258, 672, 1003, 284, 11133, 266, 272, 0, 15893, 284, 272, 454, 6112, 28840, 27045, 1911, 2187, 825, 952, 28840, 260, 278, 2525, 271, 2187, 1038, 1820, 28840, 994, 825, 1297, 284, 15893, 266, 272, 454, 672, 0, 258, 2372, 652, 14244, 476, 1321, 5897, 332, 559, 3873, 815, 10581, 9272, 3488, 14707, 924, 579, 2742, 1253, 5889, 333, 25556, 900, 2113, 13757, 281, 1412, 17903, 14790, 815, 2113, 3873, 265, 272, 269, 8618, 5897, 2745, 6600, 262, 10497, 320, 1253, 4545, 807, 900, 918, 332, 20527, 2715, 14790, 348, 262, 10142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 3375, 563, 268, 21253, 2225, 281, 5680, 1646, 1419, 3340, 23440, 609, 1585, 4066, 267, 971, 607, 4395, 15134, 1646, 267, 1394, 15134, 5752, 267, 543, 6538, 2359, 269, 898, 949, 1683, 513, 6626, 2039, 540, 3681, 543, 1450, 596, 547, 960, 593, 3309, 3785, 269, 12229, 1646, 267, 593, 519, 824, 1688, 267, 666, 581, 811, 7463, 543, 3335, 6212, 593, 2679, 3156, 610, 1949, 585, 1808, 5301, 269, 6333, 2436, 596, 4782, 513, 6626, 5578, 1305, 610, 811, 5059, 6791, 563, 268, 4804, 4354, 557, 543, 8249, 281, 5637, 1357, 543, 3301, 1646, 2154, 6024, 1565, 267, 855, 741, 1565, 14258, 543, 2139, 2200, 949, 8428, 269, 1284, 662, 707, 1569, 547, 1565, 2326, 267, 2228, 18862, 267, 8193, 18849, 322, 10102, 267, 543, 519, 2146, 1489, 2139, 585, 1142, 1858, 540, 1646, 269, 6333, 799, 2361, 3091, 811, 3015, 543, 5078, 2200, 1759, 593, 707, 1565, 7375, 563, 27407, 267, 972, 568, 1100, 1318, 610, 4636, 2626, 547, 799, 835, 547, 1376, 609, 269, 898, 1419, 2337, 547, 1205, 513, 2596, 1620, 540, 1312, 543, 4603, 609, 513, 1906, 1507, 3785, 547, 1294, 799, 2361, 24889, 811, 609, 707, 4690, 543, 3853, 269, 0, 25748, 267, 3744, 723, 19230, 602, 519, 17343, 13804, 777, 677, 515, 610, 344, 345, 2801, 267, 799, 568, 21006, 3162, 1977, 10568, 7031, 267, 1223, 3262, 5001, 563, 10666, 5453, 520, 2349, 770, 912, 268, 1548, 621, 568, 286, 898, 568, 513, 16507, 2068, 538, 9341, 543, 31210, 10568, 2504, 4525, 3361, 676, 13804, 777, 677, 515, 610, 344, 345, 2801, 563, 268, 634, 17343, 3468, 338, 3552, 543, 16916, 21823, 267, 1034, 16113, 7573, 543, 10568, 563, 268, 898, 19082, 998, 7783, 5452, 267, 543, 7693, 22016, 607, 1134, 607, 676, 24032, 602, 666, 2951, 1279, 9883, 538, 519, 2011, 563, 268, 634, 7693, 13271, 616, 1634, 547, 4573, 622, 543, 3082, 547, 1007, 2175, 454, 268, 3778, 540, 519, 12176, 540, 713, 2068, 454, 268, 12824, 1101, 9571, 713, 19800, 538, 19384, 10568, 7031, 538, 519, 476, 2735, 271, 338, 563, 268, 5607, 779, 1101, 12176, 540, 713, 23633, 10568, 19046, 729, 4080, 538, 16273, 538, 476, 1001, 277, 563, 268, 5565, 1296, 2663, 267, 606, 12176, 540, 713, 17343, 729, 9571, 538, 10568, 7031, 538, 2098, 25995, 267, 799, 729, 519, 1101, 942, 519, 19800, 729, 9571, 538, 4000, 563, 7659, 12700, 827, 5453, 520, 454, 268, 898, 568, 519, 2034, 1034, 1271, 23611, 7693, 538, 3127, 1310, 7573, 563, 268, 898, 568, 513, 15887, 328, 7693, 799, 3340, 513, 3579, 3395, 4005, 543, 6505, 24106, 693, 519, 942, 540, 18009, 2287, 563, 268, 18323, 281, 898, 3340, 476, 1015, 268, 1428, 9180, 630, 520, 519, 942, 540, 590, 12976, 264, 543, 476, 2641, 268, 2918, 9180, 1282, 681, 760, 2287, 1299, 28610, 532, 563, 268, 14175, 6420, 281, 15907, 476, 4037, 268, 1911, 4699, 563, 268, 14606, 2838, 281, 4270, 1673, 11712, 15417, 3138, 18081, 543, 10036, 5674, 3138, 18081, 563, 304, 272, 264, 1548, 568, 15887, 328, 7693, 888, 305, 29422, 7693, 568, 513, 1826, 540, 6694, 7693, 602, 568, 521, 1144, 538, 519, 5162, 4005, 538, 3127, 267, 2356, 1063, 5239, 543, 5412, 267, 543, 19122, 538, 519, 5614, 267, 3335, 1063, 4728, 543, 4873, 269, 0, 299, 296, 17022, 3091, 4388, 547, 948, 2061, 7929, 4576, 10825, 1851, 5243, 454, 288, 7929, 4576, 568, 10825, 1851, 5243, 18487, 267, 1519, 593, 7043, 6816, 563, 309, 2678, 514, 12579, 2161, 789, 2811, 711, 4010, 2386, 1018, 519, 4576, 568, 267, 2943, 789, 3494, 621, 1223, 581, 930, 2186, 540, 3644, 610, 4551, 789, 4076, 2938, 1354, 602, 814, 2094, 4573, 730, 563, 7804, 269, 26778, 670, 11839, 267, 7022, 3887, 937, 540, 22244, 27259, 6481, 5948, 267, 3081, 851, 540, 519, 2601, 585, 519, 3262, 6013, 538, 1004, 543, 2831, 10707, 811, 563, 7804, 269, 670, 11839, 3081, 2915, 5411, 1058, 581, 593, 519, 1413, 719, 585, 2589, 899, 23472, 267, 32125, 267, 2196, 5500, 4064, 267, 2196, 5500, 9224, 267, 3668, 540, 14031, 610, 9854, 269, 670, 11839, 3081, 621, 779, 1271, 547, 1832, 513, 2673, 3750, 593, 519, 2589, 543, 547, 5612, 1294, 513, 16943, 952, 519, 2589, 1205, 8338, 610, 2063, 585, 4374, 563, 763, 1434, 3377, 568, 972, 616, 930, 14942, 3268, 5411, 666, 1491, 547, 2149, 812, 781, 1655, 3659, 563, 257, 2414, 20093, 593, 519, 1259, 540, 3106, 568, 21273, 2223, 1767, 670, 11839, 269, 968, 2252, 596, 1810, 1405, 723, 547, 2322, 707, 2831, 609, 824, 2831, 693, 713, 1448, 267, 621, 1522, 581, 606, 4443, 1259, 547, 3251, 856, 540, 519, 1899, 540, 3595, 269, 1656, 1118, 2386, 649, 3251, 18764, 1996, 938, 918, 268, 280, 3676, 602, 649, 666, 267, 971, 607, 14798, 4799, 295, 11839, 3081, 865, 2484, 267, 972, 568, 1100, 2963, 540, 519, 4576, 10825, 689, 5243, 547, 824, 2831, 563, 2690, 519, 5767, 3877, 827, 519, 3262, 540, 519, 22578, 4576, 267, 3643, 519, 1977, 27259, 6481, 5948, 1934, 269, 0, 8170, 5545, 5169, 563, 9288, 753, 968, 342, 3563, 807, 892, 538, 5545, 563, 300, 870, 17540, 10202, 568, 519, 5207, 7823, 538, 3567, 269, 1703, 568, 849, 513, 5757, 3957, 17540, 10202, 267, 799, 568, 835, 540, 519, 1614, 1034, 4028, 8928, 538, 3567, 563, 2108, 293, 340, 10202, 631, 1846, 19441, 892, 568, 849, 513, 5545, 530, 3563, 807, 13037, 267, 9976, 538, 1896, 4025, 540, 519, 2197, 1282, 4989, 543, 2904, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 6348, 1673, 9057, 514, 2065, 13113, 3678, 26293, 692, 11795, 22187, 454, 292, 6470, 476, 1839, 30515, 6944, 757, 692, 1012, 6348, 1673, 9057, 514, 2065, 13113, 3678, 26293, 692, 2171, 616, 1031, 547, 5373, 513, 3678, 26293, 1875, 1673, 9057, 514, 2065, 13113, 267, 676, 8204, 519, 2829, 676, 10580, 267, 676, 10834, 519, 3355, 1533, 676, 606, 19670, 15561, 267, 519, 16561, 2829, 676, 513, 5595, 5858, 610, 606, 856, 4707, 15561, 267, 543, 519, 5912, 689, 1533, 7117, 547, 1533, 7117, 262, 676, 2542, 519, 4484, 14668, 676, 606, 15561, 2469, 689, 7117, 547, 7117, 262, 543, 13042, 676, 14668, 780, 288, 1875, 1673, 9057, 514, 2065, 13113, 3678, 26293, 589, 568, 513, 17784, 339, 630, 309, 339, 267, 1627, 267, 570, 264, 1141, 692, 1892, 966, 339, 568, 519, 6863, 540, 519, 3678, 26293, 3248, 1892, 1627, 568, 519, 13113, 1305, 540, 2829, 540, 519, 3678, 26293, 3248, 1892, 570, 281, 1627, 6398, 966, 339, 9890, 1627, 267, 568, 513, 9864, 3498, 1572, 519, 3678, 26293, 5912, 1599, 780, 9616, 602, 513, 15002, 2065, 3678, 26293, 568, 513, 1880, 2013, 540, 513, 1875, 1673, 9057, 514, 2065, 3678, 26293, 799, 27498, 609, 1022, 3693, 540, 1627, 6398, 966, 339, 513, 851, 540, 1627, 2348, 4642, 610, 835, 3693, 630, 1410, 18075, 835, 952, 621, 568, 513, 2347, 3678, 26293, 1040, 1284, 666, 2161, 540, 513, 15002, 2065, 3678, 26293, 602, 621, 568, 18106, 952, 621, 666, 581, 17808, 267, 602, 568, 547, 2161, 952, 972, 6818, 513, 1533, 7117, 543, 513, 4484, 513, 971, 602, 570, 630, 336, 267, 513, 264, 815, 3980, 483, 269, 1403, 621, 568, 2347, 267, 649, 723, 519, 1739, 3959, 1384, 4131, 589, 815, 630, 309, 339, 267, 1627, 267, 570, 264, 581, 513, 2347, 1875, 1673, 9057, 514, 2065, 13113, 3678, 26293, 269, 1924, 267, 585, 1022, 2262, 579, 17995, 966, 339, 543, 1022, 1533, 7117, 17995, 1627, 267, 972, 6818, 513, 630, 2254, 2141, 2189, 264, 1533, 7117, 1412, 4501, 486, 1627, 971, 602, 7117, 630, 340, 264, 9890, 589, 336, 262, 780, 763, 1875, 1673, 9057, 514, 2065, 814, 2705, 606, 1898, 12343, 281, 972, 666, 581, 1896, 8174, 725, 4611, 689, 519, 3355, 1533, 1775, 799, 1224, 513, 2016, 2262, 530, 267, 930, 540, 799, 666, 581, 17808, 543, 1866, 711, 267, 543, 538, 519, 8545, 2013, 930, 666, 1439, 538, 1533, 16561, 543, 1866, 711, 269, 20504, 766, 3217, 1747, 952, 972, 568, 693, 2547, 835, 3811, 9819, 269, 1403, 782, 519, 9273, 3111, 267, 972, 786, 581, 1100, 824, 1259, 547, 1265, 856, 982, 547, 2263, 873, 782, 1354, 6616, 602, 519, 2262, 530, 568, 711, 20083, 269, 634, 2953, 10206, 568, 4061, 711, 602, 540, 9819, 267, 855, 540, 513, 9819, 3529, 2404, 609, 513, 2262, 1224, 676, 519, 3678, 26293, 1384, 11693, 513, 1875, 1673, 9057, 514, 2065, 13113, 3678, 26293, 589, 267, 519, 8174, 566, 3529, 609, 3597, 7117, 17995, 1627, 6383, 676, 2542, 519, 2262, 579, 568, 513, 3529, 6065, 569, 13042, 3989, 676, 15632, 593, 579, 912, 2252, 579, 815, 31330, 267, 1287, 519, 3529, 568, 4389, 547, 922, 3597, 7117, 3248, 2252, 579, 815, 1285, 267, 519, 3597, 7117, 814, 856, 4707, 13289, 13042, 676, 513, 17995, 966, 339, 547, 1114, 12985, 4054, 6383, 676, 519, 2542, 540, 642, 543, 4171, 5072, 616, 13042, 676, 519, 2829, 540, 570, 630, 336, 267, 513, 6393, 288, 8174, 566, 3529, 568, 9112, 607, 538, 519, 2013, 540, 513, 15002, 2065, 3678, 26293, 269, 769, 519, 2013, 540, 513, 1875, 1673, 9057, 514, 2065, 13113, 3678, 26293, 267, 621, 568, 711, 5276, 543, 666, 1459, 1585, 8371, 799, 786, 2285, 1585, 8174, 725, 3056, 610, 711, 547, 519, 6284, 540, 519, 2262, 780, 288, 2262, 579, 568, 6444, 676, 513, 1875, 1673, 9057, 514, 2065, 3678, 26293, 589, 476, 858, 835, 540, 519, 3762, 540, 922, 9819, 3529, 568, 13042, 676, 606, 16561, 1533, 780, 1012, 6348, 1673, 9057, 24452, 543, 6444, 1913, 692, 2171, 2015, 519, 1739, 1875, 1673, 9057, 514, 2065, 13113, 3678, 26293, 589, 815, 630, 346, 320, 267, 536, 9574, 2715, 272, 267, 476, 273, 267, 476, 274, 9574, 31221, 267, 2715, 272, 9574, 2715, 272, 16585, 1384, 3674, 519, 2262, 22678, 629, 629, 7608, 676, 3678, 26293, 589, 2496, 5591, 6978, 14687, 547, 513, 3803, 1533, 267, 4063, 602, 782, 519, 3762, 1439, 909, 538, 519, 1134, 780, 12024, 519, 15002, 2065, 3678, 26293, 267, 621, 568, 2009, 547, 4020, 519, 1913, 6444, 676, 519, 3678, 26293, 676, 3168, 693, 519, 3403, 3515, 543, 3977, 9587, 269, 634, 1913, 540, 13080, 562, 616, 1287, 9112, 676, 9870, 519, 5912, 5119, 547, 519, 1379, 540, 562, 780, 15709, 454, 15709, 454, 2894, 454, 2464, 0, 258, 3474, 629, 15614, 689, 21642, 3203, 630, 8512, 1109, 280, 2020, 25748, 267, 594, 9307, 602, 1250, 1957, 3474, 20326, 16544, 689, 26629, 806, 540, 21642, 1185, 1044, 3370, 538, 519, 12139, 4569, 21222, 976, 269, 634, 2376, 1185, 2789, 6663, 282, 538, 26567, 1931, 540, 950, 594, 1101, 3323, 3206, 827, 873, 1384, 1892, 28171, 602, 5569, 1148, 689, 1079, 1899, 12415, 15244, 513, 29236, 563, 1892, 28171, 602, 513, 13392, 9971, 25389, 519, 1445, 1673, 1311, 3700, 3959, 540, 513, 29236, 267, 799, 568, 519, 9258, 540, 519, 8912, 7954, 950, 1053, 1451, 598, 545, 6810, 563, 1892, 28171, 519, 14436, 3959, 540, 25158, 15614, 563, 1892, 6452, 558, 680, 880, 782, 540, 519, 1657, 1510, 1210, 11810, 780, 4407, 594, 6557, 3622, 20938, 609, 519, 3803, 1106, 540, 519, 2376, 267, 519, 13766, 540, 8313, 10148, 10169, 28484, 519, 3312, 3804, 540, 713, 1788, 281, 8159, 513, 15338, 690, 1227, 3280, 1259, 540, 20310, 513, 6505, 10789, 594, 2875, 602, 5569, 1148, 30122, 7472, 513, 29236, 269, 2755, 782, 519, 2556, 6128, 568, 538, 519, 2376, 267, 594, 1589, 519, 2376, 568, 10169, 15877, 593, 875, 547, 6133, 519, 2856, 547, 1053, 269, 1924, 267, 538, 713, 3126, 540, 9708, 267, 594, 8910, 899, 547, 4228, 593, 519, 2376, 609, 930, 24099, 4555, 827, 8220, 5569, 1148, 547, 25158, 15614, 780, 2171, 723, 3254, 538, 519, 2063, 7008, 540, 9708, 602, 952, 519, 1614, 2798, 602, 5352, 519, 3776, 29293, 540, 5569, 1148, 3366, 721, 547, 2015, 606, 17062, 5569, 4399, 28235, 346, 303, 304, 4151, 13269, 2630, 269, 1280, 1786, 6143, 267, 713, 5569, 786, 581, 1572, 968, 11415, 1269, 338, 259, 2223, 12805, 519, 630, 335, 1601, 4601, 1875, 10784, 1122, 518, 264, 1269, 343, 27572, 1723, 15453, 540, 922, 2451, 1439, 4812, 1269, 303, 10608, 4595, 1269, 303, 259, 568, 1269, 338, 259, 4559, 547, 519, 1318, 540, 1269, 288, 8961, 519, 1318, 1439, 4812, 1269, 304, 259, 1590, 5330, 5944, 581, 1269, 338, 259, 4559, 547, 519, 1318, 540, 1269, 289, 10608, 4475, 267, 519, 1269, 343, 27572, 1723, 15453, 540, 1269, 304, 259, 568, 1269, 338, 1341, 476, 279, 16859, 7093, 16227, 267, 649, 3964, 602, 519, 3830, 585, 5569, 1269, 338, 259, 568, 692, 259, 344, 815, 28363, 6234, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 1341, 1422, 2765, 12757, 338, 2410, 275, 348, 910, 1535, 1341, 476, 279, 16859, 2171, 849, 5833, 513, 22429, 1267, 602, 649, 5833, 1210, 1152, 7223, 281, 5569, 1269, 338, 259, 568, 17242, 547, 519, 29236, 1269, 344, 815, 1422, 6234, 1422, 2765, 12757, 317, 273, 2410, 1626, 348, 910, 1535, 1341, 476, 279, 8961, 799, 568, 14360, 676, 519, 12673, 267, 950, 1269, 343, 284, 273, 338, 10608, 2986, 1576, 267, 17242, 3515, 616, 2356, 5833, 1210, 11810, 267, 543, 865, 11810, 1058, 581, 2111, 547, 6166, 713, 1267, 269, 634, 12045, 540, 713, 1599, 568, 692, 259, 344, 262, 815, 1422, 6234, 1422, 2765, 12757, 2410, 279, 348, 910, 476, 272, 8961, 692, 810, 602, 519, 9386, 540, 519, 17242, 1899, 950, 1269, 343, 284, 273, 338, 259, 568, 1269, 332, 815, 1422, 6234, 1422, 2765, 346, 338, 2410, 275, 348, 910, 476, 272, 815, 1422, 2765, 346, 338, 268, 275, 2410, 275, 23201, 1284, 7747, 602, 713, 13292, 519, 9386, 540, 1899, 10126, 4399, 28235, 346, 303, 304, 4151, 538, 519, 1657, 4605, 1384, 16435, 2100, 1269, 284, 1422, 6234, 1422, 2765, 346, 338, 910, 630, 338, 268, 279, 20972, 263, 338, 266, 279, 264, 910, 476, 279, 348, 815, 1422, 2765, 346, 273, 338, 268, 279, 2410, 279, 348, 815, 1422, 2765, 346, 338, 268, 275, 2410, 275, 31859, 11997, 267, 547, 1397, 602, 4399, 28235, 346, 303, 304, 4151, 568, 519, 17242, 1899, 267, 621, 3411, 1182, 547, 1397, 602, 2901, 1269, 303, 259, 610, 1269, 304, 259, 568, 593, 519, 17242, 1899, 780, 4263, 1269, 343, 815, 476, 273, 338, 8961, 519, 1269, 344, 268, 259, 1723, 15453, 540, 1141, 519, 17242, 1899, 12969, 338, 519, 7455, 568, 692, 259, 344, 815, 1422, 6234, 1422, 2765, 18950, 273, 338, 8203, 273, 2410, 1626, 348, 910, 476, 273, 338, 1341, 476, 279, 815, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 16859, 8794, 519, 1448, 1606, 331, 2100, 4542, 585, 513, 1899, 267, 519, 3830, 540, 519, 17242, 1899, 568, 3976, 692, 259, 344, 3917, 318, 272, 815, 544, 3287, 14870, 318, 272, 22491, 259, 344, 10559, 6234, 1422, 3847, 263, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 1422, 2431, 264, 815, 1422, 2765, 346, 338, 268, 275, 2410, 275, 348, 630, 343, 268, 273, 338, 22491, 259, 344, 815, 1422, 6234, 1422, 2765, 346, 338, 268, 275, 2410, 275, 348, 630, 343, 268, 273, 338, 264, 1341, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 16859, 2171, 1631, 2638, 547, 1294, 952, 1269, 303, 4433, 267, 279, 1606, 7751, 568, 593, 519, 17242, 1899, 269, 15240, 23082, 1269, 343, 815, 338, 8961, 649, 1265, 692, 259, 344, 815, 1422, 6234, 1422, 2765, 346, 338, 268, 275, 2410, 275, 348, 630, 338, 268, 273, 338, 264, 1341, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 1422, 6234, 1422, 2765, 346, 338, 268, 275, 2410, 275, 348, 11196, 338, 264, 1341, 1422, 2765, 346, 338, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 1422, 6234, 1422, 2765, 18950, 338, 268, 275, 7565, 268, 338, 264, 1341, 521, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 1422, 6234, 1422, 2765, 24877, 338, 317, 273, 266, 275, 338, 1341, 521, 317, 273, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 1422, 6234, 1422, 2765, 346, 275, 338, 2410, 275, 348, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 521, 910, 476, 273, 338, 1341, 476, 279, 6911, 259, 284, 910, 338, 1341, 476, 279, 6911, 11997, 267, 519, 1448, 18159, 338, 267, 279, 1606, 7751, 568, 593, 519, 17242, 1899, 267, 3976, 30260, 602, 1269, 303, 259, 568, 593, 519, 17242, 1899, 543, 602, 4399, 28235, 346, 303, 304, 4151, 568, 519, 17242, 1899, 780, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 258, 7813, 539, 570, 13715, 585, 5695, 940, 476, 1704, 269, 277, 692, 272, 269, 1215, 1281, 15914, 519, 12826, 1118, 519, 18899, 4734, 519, 12826, 910, 15983, 952, 519, 18899, 568, 538, 519, 8998, 540, 519, 12826, 1287, 972, 1131, 581, 1100, 3350, 543, 621, 1131, 1175, 3251, 538, 519, 8998, 563, 273, 269, 950, 621, 3081, 834, 288, 838, 615, 1227, 8032, 12826, 540, 6418, 8953, 476, 1626, 9492, 568, 476, 279, 269, 271, 9492, 2620, 693, 922, 8998, 257, 1281, 602, 1611, 602, 519, 12826, 5654, 899, 519, 6516, 594, 4312, 6537, 630, 10964, 578, 994, 22998, 912, 24314, 2022, 676, 9923, 4768, 331, 31788, 692, 272, 269, 1215, 1281, 15914, 519, 12826, 1118, 519, 18899, 4734, 519, 12826, 910, 15983, 952, 519, 18899, 568, 538, 519, 8998, 540, 519, 12826, 1287, 972, 1131, 581, 1100, 3350, 543, 621, 1131, 1175, 3251, 538, 519, 8998, 563, 273, 269, 950, 621, 3081, 834, 288, 838, 615, 1227, 8032, 12826, 540, 6418, 8953, 476, 1626, 9492, 568, 476, 279, 269, 271, 9492, 2620, 693, 922, 8998, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 28184, 5793, 607, 28184, 692, 29514, 4778, 454, 3712, 832, 815, 2715, 271, 281, 257, 258, 6717, 290, 271, 289, 274, 2580, 273, 281, 257, 258, 3633, 292, 274, 6395, 2580, 275, 281, 257, 258, 4488, 5263, 290, 279, 2580, 279, 281, 257, 258, 293, 272, 289, 5881, 290, 2580, 1626, 281, 257, 258, 293, 4375, 276, 6924, 2580, 3953, 281, 257, 258, 293, 5325, 291, 5038, 2580, 5038, 281, 257, 258, 293, 5379, 272, 5379, 2580, 12553, 281, 257, 258, 3633, 20003, 7761, 2580, 16348, 281, 257, 258, 3633, 6717, 8618, 2580, 24423, 281, 257, 258, 3633, 290, 25616, 2580, 9083, 275, 281, 257, 258, 292, 273, 289, 280, 1724, 2580, 14225, 279, 281, 257, 258, 4488, 290, 6110, 257, 348, 7531, 3698, 2332, 318, 14241, 14116, 877, 2187, 825, 2518, 6885, 454, 825, 2518, 579, 328, 318, 4580, 454, 825, 2518, 6060, 454, 825, 6885, 815, 28184, 11053, 330, 10797, 825, 1948, 19130, 30892, 4604, 609, 4642, 525, 454, 825, 579, 328, 318, 4580, 815, 20886, 339, 330, 11482, 8475, 263, 30720, 267, 3667, 6889, 271, 2580, 325, 2632, 6889, 295, 10679, 339, 3821, 476, 1240, 12050, 8442, 585, 1775, 538, 2039, 14116, 877, 25915, 13580, 585, 795, 538, 2039, 14116, 877, 25915, 22708, 825, 1948, 5590, 1575, 9511, 9946, 585, 1142, 6003, 538, 579, 328, 318, 4580, 454, 825, 4737, 318, 3438, 1807, 815, 476, 271, 454, 825, 585, 4737, 538, 579, 328, 318, 4580, 912, 1038, 1948, 5269, 9343, 6445, 909, 3063, 2230, 454, 1038, 6885, 26942, 32284, 20813, 2682, 21405, 318, 3438, 1807, 31599, 1231, 1125, 284, 1911, 267, 7076, 284, 272, 994, 1038, 585, 6003, 318, 3438, 1807, 538, 2039, 263, 271, 267, 6352, 21405, 15892, 2018, 579, 328, 318, 4580, 314, 992, 318, 3438, 1807, 6012, 16932, 318, 3438, 1807, 4940, 28186, 21405, 284, 992, 318, 3438, 1807, 267, 26383, 284, 16932, 318, 3438, 1807, 267, 22496, 344, 6889, 333, 572, 342, 5602, 2018, 6885, 26942, 22674, 4379, 20813, 2682, 10857, 8475, 318, 3438, 1807, 31599, 1231, 1125, 284, 1911, 267, 7076, 284, 272, 994, 1038, 4737, 318, 3438, 1807, 6834, 476, 272, 454, 825, 1948, 8073, 6060, 6003, 693, 5377, 540, 5496, 454, 825, 6060, 815, 28184, 11482, 8475, 29495, 284, 18524, 269, 16557, 266, 272, 994, 825, 6060, 26942, 21405, 284, 18524, 25915, 267, 26383, 284, 271, 994, 825, 1948, 645, 785, 15561, 10569, 547, 6521, 4604, 454, 825, 6885, 12500, 785, 2891, 283, 10000, 285, 2580, 25754, 513, 281, 3014, 11075, 3424, 318, 1575, 15405, 825, 6885, 12500, 785, 2891, 283, 14738, 285, 2580, 25754, 513, 281, 3014, 11075, 3424, 318, 2431, 15405, 825, 6885, 12500, 785, 2891, 283, 291, 1144, 285, 2580, 25754, 513, 281, 3014, 11075, 3424, 5091, 1144, 15405, 825, 6885, 12500, 785, 2891, 283, 29381, 285, 2580, 25754, 513, 281, 3014, 11075, 3424, 318, 3847, 3890, 9239, 3698, 9337, 318, 14241, 14116, 877, 2187, 825, 4737, 318, 3438, 1807, 815, 476, 271, 454, 825, 1948, 22352, 782, 10297, 609, 1394, 754, 2418, 454, 825, 585, 4737, 538, 579, 328, 318, 4580, 912, 1038, 585, 6003, 318, 3438, 1807, 538, 2039, 263, 271, 267, 6352, 21405, 15892, 2018, 1007, 19056, 815, 3014, 269, 4580, 314, 992, 318, 3438, 1807, 6012, 16932, 318, 3438, 1807, 2639, 2018, 2119, 912, 3546, 1948, 476, 271, 17981, 1058, 581, 10145, 454, 3546, 952, 1007, 19056, 2652, 476, 271, 912, 7386, 579, 328, 318, 4580, 314, 992, 318, 3438, 1807, 6012, 16932, 318, 3438, 1807, 4940, 935, 14808, 29495, 6889, 14307, 321, 326, 284, 3712, 832, 314, 2908, 19056, 7481, 3546, 3116, 912, 7386, 579, 328, 318, 4580, 314, 992, 318, 3438, 1807, 6012, 16932, 318, 3438, 1807, 4940, 935, 14808, 29495, 284, 2908, 19056, 14720, 326, 284, 3712, 832, 314, 2908, 19056, 7481, 2018, 1948, 1403, 2681, 568, 711, 538, 8675, 2887, 3724, 547, 2699, 454, 2018, 4849, 6206, 13286, 912, 3546, 579, 328, 318, 4580, 314, 992, 318, 3438, 1807, 6012, 16932, 318, 3438, 1807, 4940, 935, 14808, 29495, 284, 2908, 19056, 14720, 326, 6889, 258, 13697, 1822, 271, 5602, 1038, 4737, 318, 3438, 1807, 6834, 476, 272, 454, 825, 6060, 26769, 14808, 29495, 6889, 30360, 281, 834, 1341, 1193, 14116, 877, 269, 16557, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 9045, 3967, 476, 2764, 476, 1556, 281, 7871, 281, 2420, 476, 1001, 278, 5897, 287, 10461, 281, 521, 11860, 4596, 299, 289, 12224, 1477, 18851, 24653, 3698, 1205, 14738, 21920, 263, 1723, 867, 305, 8029, 825, 2132, 476, 12553, 271, 268, 4717, 305, 314, 272, 316, 1948, 12033, 7934, 689, 1318, 3077, 6316, 547, 6316, 540, 5496, 5897, 3698, 1205, 29381, 21920, 263, 1723, 867, 299, 8029, 825, 2132, 4717, 299, 314, 272, 316, 1948, 12033, 7934, 689, 2451, 6316, 540, 5496, 547, 2451, 6316, 540, 3077, 1477, 24541, 2431, 21920, 815, 1205, 14738, 21920, 263, 1723, 867, 305, 3418, 3847, 21920, 815, 1205, 29381, 21920, 263, 1723, 867, 299, 10142, 604, 2612, 263, 2431, 21920, 268, 3847, 21920, 264, 2999, 476, 273, 281, 1948, 604, 519, 8773, 568, 593, 4099, 609, 10892, 540, 476, 273, 533, 343, 1477, 825, 1820, 834, 517, 3077, 267, 1847, 4464, 257, 1948, 15884, 5555, 2285, 8773, 4890, 4971, 610, 1945, 1477, 19197, 1318, 21920, 3436, 2451, 21920, 6769, 825, 1820, 834, 332, 913, 1318, 29177, 19197, 2451, 21920, 3436, 1318, 21920, 6769, 825, 1820, 834, 332, 913, 2451, 29177, 24541, 258, 326, 777, 6027, 689, 476, 272, 10264, 3845, 568, 2673, 547, 1141, 649, 1616, 547, 3247, 1477, 258, 320, 2071, 10616, 267, 952, 7934, 568, 3677, 982, 630, 16341, 1297, 264, 581, 811, 5730, 1477, 258, 516, 701, 730, 569, 1289, 630, 1410, 281, 1169, 476, 272, 10264, 264, 865, 602, 596, 666, 19820, 607, 596, 979, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 18851, 22428, 596, 723, 930, 5931, 540, 3377, 543, 917, 741, 6688, 780, 2791, 1616, 547, 5721, 513, 1062, 609, 713, 840, 2275, 1538, 528, 1242, 270, 2181, 11665, 1881, 454, 3667, 338, 269, 1924, 267, 596, 723, 1732, 1289, 713, 1239, 707, 2866, 1305, 563, 12163, 5814, 562, 25900, 692, 18080, 17601, 518, 815, 562, 25900, 11053, 1778, 518, 10797, 258, 1411, 991, 547, 5721, 519, 1062, 8429, 1142, 1257, 835, 676, 835, 547, 519, 26519, 9074, 563, 18080, 27133, 815, 1496, 454, 825, 27835, 3667, 9166, 1412, 2254, 547, 3548, 1932, 1454, 568, 711, 2614, 547, 6336, 2597, 3299, 1412, 322, 14394, 9166, 1412, 8234, 262, 348, 2676, 825, 27835, 3667, 9166, 1412, 305, 17892, 2119, 547, 28117, 12907, 3299, 1412, 322, 14394, 9166, 1412, 335, 29176, 262, 348, 2676, 825, 27835, 3667, 9166, 1412, 4777, 711, 10714, 3635, 3299, 1412, 322, 14394, 9166, 1412, 8234, 262, 348, 2676, 825, 27835, 3667, 9166, 1412, 306, 344, 6319, 568, 519, 1292, 3390, 267, 15525, 3081, 3299, 1412, 322, 14394, 9166, 1412, 335, 29176, 262, 348, 2676, 825, 27835, 3667, 9166, 1412, 324, 520, 547, 6336, 2597, 3299, 1412, 322, 14394, 9166, 1412, 8234, 262, 348, 2676, 825, 27835, 3667, 9166, 1412, 9767, 1058, 711, 3548, 1454, 3299, 1412, 322, 14394, 9166, 1412, 8234, 262, 8679, 6540, 1721, 3377, 538, 3377, 27133, 912, 825, 3377, 17601, 518, 6745, 1778, 263, 18080, 9131, 3667, 28710, 3377, 9131, 322, 14394, 11172, 2020, 258, 1879, 596, 723, 6190, 8036, 1239, 267, 596, 616, 3592, 2944, 543, 666, 1376, 547, 946, 513, 29976, 563, 10177, 1441, 12774, 815, 3377, 17601, 518, 20216, 1636, 4590, 18080, 318, 5035, 8595, 815, 562, 25900, 269, 12218, 8595, 6025, 11712, 12774, 2020, 258, 3767, 596, 723, 513, 29976, 799, 666, 2119, 547, 1362, 604, 12011, 3377, 1257, 540, 799, 519, 7121, 568, 7164, 563, 5035, 2305, 815, 3377, 318, 5035, 8595, 269, 5035, 1518, 3488, 11917, 4821, 568, 17210, 2745, 263, 5035, 2305, 994, 0, 343, 815, 476, 6858, 454, 344, 815, 476, 271, 454, 339, 787, 912, 825, 1820, 3287, 1315, 586, 994, 21955, 20023, 19667, 1707, 13286, 607, 552, 912, 825, 1820, 3488, 19667, 1707, 676, 4642, 568, 711, 4847, 256, 5073, 12828, 912, 825, 1820, 3488, 302, 3591, 267, 23985, 4682, 4636, 256, 5073, 325, 3373, 912, 825, 1820, 3488, 2521, 1586, 256, 10807, 0, 258, 952, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 258, 672, 1535, 815, 11713, 258, 672, 586, 815, 11713, 258, 672, 585, 9041, 538, 2039, 17301, 9272, 3890, 15892, 258, 1363, 2012, 815, 3403, 4590, 258, 1363, 6060, 815, 10581, 9272, 15405, 258, 1363, 1535, 6910, 8443, 4067, 267, 6060, 7481, 258, 1363, 586, 6910, 263, 16557, 994, 16482, 258, 586, 815, 1592, 263, 3553, 12169, 4917, 258, 586, 31699, 4590, 258, 3193, 318, 273, 815, 586, 314, 272, 2639, 258, 1535, 815, 15044, 3287, 994, 258, 585, 4408, 267, 8464, 538, 1535, 912, 258, 672, 952, 8464, 2652, 3193, 318, 273, 912, 258, 1363, 1820, 3799, 1868, 2020, 333, 815, 703, 9272, 15405, 1551, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3890, 4917, 2745, 32384, 8443, 328, 585, 1775, 538, 2855, 952, 1775, 11203, 3193, 19906, 264, 8079, 2020, 0, 5814, 4351, 567, 1948, 5814, 4351, 267, 5503, 476, 17432, 368, 423, 493, 482, 423, 494, 357, 1477, 5814, 942, 5897, 12248, 284, 271, 1477, 6016, 284, 9131, 266, 12887, 268, 12887, 265, 12887, 270, 11172, 1477, 6358, 2891, 29306, 498, 425, 482, 364, 423, 354, 376, 14091, 486, 482, 423, 354, 368, 423, 358, 368, 10563, 489, 506, 28990, 495, 14826, 14744, 12711, 284, 5503, 28333, 3890, 672, 5897, 1721, 1535, 538, 2039, 263, 271, 267, 276, 8029, 825, 513, 284, 12690, 27110, 263, 272, 267, 2004, 3418, 825, 536, 284, 12690, 27110, 263, 272, 267, 2004, 3418, 825, 1566, 284, 12690, 26716, 4069, 263, 6016, 10142, 825, 7688, 284, 1193, 5416, 11924, 641, 266, 1598, 6357, 3418, 825, 7688, 8782, 260, 323, 4939, 338, 4939, 323, 262, 260, 263, 320, 267, 641, 14720, 10142, 825, 1820, 263, 638, 714, 10086, 8782, 3418, 825, 1820, 16216, 1998, 263, 638, 714, 17903, 825, 524, 25507, 9272, 2891, 32510, 499, 21498, 369, 6889, 264, 10142, 825, 952, 703, 16216, 1998, 263, 638, 714, 4297, 2525, 322, 6769, 1038, 1820, 2891, 32510, 499, 21498, 369, 10590, 3418, 1038, 1293, 23785, 272, 1477, 825, 3116, 6769, 1038, 1820, 2891, 424, 502, 353, 21498, 369, 10590, 10142, 6277, 284, 5503, 28333, 14052, 764, 284, 6277, 8584, 320, 1477, 2745, 2891, 260, 323, 32174, 506, 14091, 356, 508, 14602, 490, 257, 260, 12248, 3418, 2745, 2891, 422, 365, 372, 423, 355, 364, 10563, 489, 506, 32174, 482, 14602, 478, 10065, 271, 325, 424, 368, 486, 28990, 483, 21498, 486, 30319, 257, 260, 764, 264, 11434, 1948, 10065, 271, 325, 423, 350, 506, 10563, 480, 361, 424, 504, 358, 27338, 21844, 364, 478, 32629, 354, 17432, 357, 10563, 484, 490, 424, 486, 502, 32510, 494, 10563, 501, 484, 32629, 498, 422, 365, 364, 0, 5814, 2979, 692, 3698, 568, 28269, 3799, 2187, 825, 5727, 1607, 1599, 1449, 952, 519, 1297, 562, 568, 513, 6305, 1297, 563, 825, 8173, 825, 3193, 14818, 815, 2979, 269, 576, 559, 263, 2979, 28460, 3799, 264, 1341, 476, 272, 12467, 825, 546, 815, 476, 273, 454, 825, 1247, 546, 10922, 3193, 14818, 912, 1038, 952, 476, 271, 2652, 2979, 8807, 7116, 3799, 267, 546, 2187, 2018, 2132, 8771, 454, 1038, 546, 6834, 476, 272, 454, 825, 2132, 6936, 692, 3698, 568, 28269, 18893, 272, 3799, 2187, 825, 5727, 257, 1607, 1599, 1449, 952, 519, 1297, 562, 568, 513, 6305, 1297, 563, 825, 26659, 476, 272, 281, 1684, 711, 1449, 782, 1256, 2338, 563, 825, 8173, 825, 952, 476, 271, 2652, 2979, 8807, 7116, 3799, 267, 476, 273, 2187, 1038, 2132, 8771, 454, 825, 3193, 14818, 815, 2979, 269, 576, 559, 263, 2979, 28460, 3799, 264, 1341, 476, 272, 994, 825, 546, 815, 476, 274, 454, 825, 1247, 546, 10922, 3193, 14818, 912, 1038, 952, 476, 271, 2652, 2979, 8807, 7116, 3799, 267, 546, 2187, 2018, 2132, 8771, 454, 1038, 546, 6834, 476, 273, 454, 825, 2132, 6936, 692, 3698, 568, 28269, 18893, 273, 3799, 2187, 825, 5727, 1607, 1599, 1449, 952, 519, 1297, 562, 568, 513, 6305, 1297, 563, 825, 26659, 476, 272, 281, 1684, 711, 1449, 782, 1256, 2338, 563, 825, 26659, 476, 273, 281, 1684, 711, 1449, 782, 2338, 10678, 609, 476, 276, 563, 825, 8173, 825, 952, 476, 271, 2652, 2979, 8807, 7116, 3799, 267, 476, 273, 2187 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1995, 269, 2755, 2796, 6157, 6927, 267, 4544, 12704, 9909, 616, 7361, 2318, 543, 1419, 5365, 513, 6505, 2104, 6619, 269, 14134, 532, 540, 513, 4544, 12704, 949, 5365, 519, 1439, 540, 513, 14165, 673, 968, 342, 5793, 892, 543, 519, 4098, 540, 513, 1974, 540, 14246, 543, 7872, 563, 289, 8674, 267, 543, 4544, 18346, 2523, 267, 616, 1419, 2938, 607, 3190, 12310, 945, 3142, 6126, 3377, 269, 1280, 1346, 2469, 998, 513, 2352, 1974, 610, 20494, 1324, 513, 2530, 267, 519, 4544, 12704, 1522, 2408, 538, 9909, 607, 513, 28034, 547, 12740, 707, 14326, 543, 6655, 602, 596, 616, 6068, 563, 23325, 18346, 616, 5140, 2206, 619, 267, 865, 513, 4544, 12704, 5326, 1522, 581, 513, 12576, 547, 2769, 3054, 543, 9784, 519, 1379, 540, 707, 5639, 563, 7197, 540, 782, 267, 4544, 12704, 9909, 1419, 24901, 519, 2956, 540, 14696, 269, 9791, 18346, 538, 9909, 2408, 607, 23106, 547, 1293, 835, 779, 25736, 543, 1589, 6126, 4555, 269, 6182, 520, 3363, 814, 513, 2027, 1259, 540, 19788, 2479, 811, 25273, 547, 621, 563, 23325, 12704, 19088, 1108, 543, 23205, 16161, 454, 4407, 3020, 4544, 18346, 1152, 2291, 538, 519, 17113, 267, 18691, 689, 1472, 519, 1158, 2934, 5017, 609, 4544, 20034, 720, 563, 2467, 616, 1082, 8320, 540, 968, 19990, 5017, 892, 538, 6739, 543, 3943, 18912, 2145, 525, 269, 13575, 267, 891, 968, 19990, 5017, 892, 3142, 1434, 3377, 610, 7772, 269, 634, 1004, 540, 31240, 9627, 3494, 4544, 18346, 547, 1268, 1518, 8788, 3294, 269, 6684, 267, 538, 11114, 5389, 267, 10828, 814, 621, 602, 519, 4544, 18346, 616, 513, 28034, 540, 2696, 269, 1358, 1166, 13616, 1472, 1004, 543, 1867, 1394, 519, 23339, 547, 2696, 269, 2368, 849, 3494, 873, 547, 581, 513, 28034, 1063, 11397, 855, 3020, 18798, 563, 24336, 18691, 849, 2934, 513, 25386, 968, 19990, 6177, 1848, 26499, 814, 621, 602, 513, 5642, 522, 20432, 538, 519, 1744, 836, 19092, 29805, 519, 968, 19990, 5017, 892, 607, 519, 3190, 12310, 540, 2473, 328, 15651, 14153, 267, 945, 729, 519, 15596, 31001, 540, 519, 7178, 269, 2473, 328, 15651, 14153, 729, 1634, 607, 513, 2149, 816, 540, 17308, 612, 525, 267, 562, 12584, 267, 13465, 6690, 267, 543, 740, 324, 14186, 269, 1403, 596, 5544, 519, 4544, 12704, 593, 513, 1614, 6122, 13949, 3529, 267, 1287, 596, 666, 581, 2386, 540, 2473, 328, 15651, 14153, 779, 4527, 543, 267, 4061, 267, 1200, 4027, 269, 630, 1015, 994, 2005, 568, 3833, 10213, 540, 519, 1764, 540, 713, 2027, 2370, 6177, 602, 1256, 538, 4529, 799, 798, 711, 1256, 723, 3020, 968, 19990, 18346, 2223, 519, 4544, 6177, 540, 8788, 3788, 513, 2178, 2686, 2245, 269, 23985, 827, 519, 28292, 4544, 2681, 543, 31676, 5191, 540, 519, 4544, 12704, 1175, 521, 902, 540, 1714, 566, 547, 519, 1480, 2295, 563, 23325, 12704, 13336, 10960, 454, 2026, 5892, 7150, 267, 1082, 540, 519, 12572, 21644, 540, 519, 2681, 4544, 666, 581, 4448, 547, 519, 4544, 12704, 269, 3493, 628, 267, 14017, 267, 3972, 267, 7326, 267, 6015, 267, 5609, 1356, 640, 267, 5132, 267, 543, 4708, 6888, 616, 782, 7592, 602, 9305, 547, 519, 4544, 12704, 6891, 3662, 269, 3509, 4529, 3494, 519, 2681, 4544, 547, 3142, 4708, 543, 1832, 519, 2942, 1648, 2476, 269, 4658, 609, 519, 4544, 12704, 6891, 3662, 616, 4535, 4708, 16234, 563, 763, 5289, 2495, 540, 519, 4544, 12704, 568, 7772, 543, 8788, 269, 4658, 609, 519, 4544, 12704, 607, 741, 6891, 3662, 723, 1100, 2362, 10912, 982, 547, 3142, 607, 1454, 7772, 607, 2009, 883, 519, 2729, 540, 1866, 269, 3245, 635, 539, 2103, 547, 5159, 547, 1101, 4431, 619, 267, 519, 4544, 12704, 6891, 3662, 568, 1034, 1419, 1336, 538, 1004, 945, 616, 4535, 547, 948, 3142, 7772, 547, 1866, 563, 1103, 930, 5389, 267, 519, 4544, 12704, 568, 849, 2404, 609, 2208, 267, 7004, 267, 543, 21548, 269, 4658, 609, 519, 4544, 12704, 6891, 3662, 723, 519, 7326, 543, 6617, 538, 741, 12271, 547, 3398, 1689, 543, 1332, 609, 1142, 4161, 789, 3068, 269, 5221, 540, 741, 25273, 267, 1004, 609, 519, 4544, 12704, 6891, 3662, 616, 5393, 4557, 20160, 543, 616, 3768, 2678, 1042, 676, 2352, 3871, 563, 23325, 12704, 570, 582, 655, 10960, 454, 763, 4544, 12704, 9103, 655, 3662, 568, 7184, 4448, 547, 519, 1753, 543, 1920, 269, 1677, 519, 4544, 12704, 9103, 655, 3662, 267, 519, 9566, 568, 513, 10723, 2230, 602, 1058, 581, 6870, 269, 634, 9566, 540, 519, 4544, 12704, 9103, 655, 568, 513, 2230, 602, 568, 22205, 267, 6899, 267, 543, 3636, 563, 2690, 1004, 609, 4544, 12704, 3662, 9103, 655, 267, 4396, 13210, 616, 1360, 1271, 269, 11109, 513, 7123, 1753, 2636, 891, 1004, 547, 12701, 741, 12209, 543, 2263, 741, 2189, 15421, 269, 2060, 513, 2922, 543, 6899, 1753, 267, 519, 4544, 12704, 9103, 655, 666, 8853, 543, 19806, 558, 883, 519, 8797, 543, 14637, 1367, 602, 621, 568, 30758, 547, 581, 563, 288, 4544, 12704, 9103, 655, 849, 11148, 547, 1611, 602, 513, 1268, 568, 1360, 11509, 543, 1395, 690, 13904, 269, 1358, 1419, 1032, 333, 585, 513, 9997, 19898, 945, 8843, 741, 2418, 543, 786, 1628, 513, 2241, 1272, 609, 873, 269, 4495, 789, 1265, 741, 1272, 7649, 267, 789, 4043, 547, 1376, 513, 1920, 7168, 4166, 269, 6145, 519, 4544, 12704, 267, 789, 616, 1360, 8825, 540, 741, 9566, 543, 1810, 1406, 1450, 4896, 547, 7519, 519, 15962, 4708, 540, 741, 2729, 563, 288, 4544, 12704, 9103, 655, 949, 3142, 519, 15298, 883, 519, 10143, 3028, 540, 519, 1390, 14326, 538, 930, 1259, 269, 1411, 666, 1831, 513, 948, 22940, 610, 513, 5289, 3391, 547, 1866, 267, 799, 538, 3294, 568, 513, 3020, 1383, 540, 4544, 12704, 4915, 693, 922, 20923, 563, 23325, 12704, 5295, 10960, 454, 763, 4544, 12704, 1379, 3662, 4564, 7067, 269, 4658, 609, 713, 1379, 3662, 723, 606, 6909, 2702, 547, 9784, 741, 6418, 1126, 267, 3398, 519, 2621, 540, 519, 2250, 267, 543, 7903, 4464, 607, 513, 811, 2347, 543, 1543, 1268, 982, 1354, 563, 1607, 6909, 13007, 585, 7067, 568, 711, 3908, 547, 519, 4544, 18346, 2933, 269, 4658, 609, 713, 1379, 3662, 616, 6537, 547, 519, 2010, 540, 1004, 7247, 789, 666, 948, 269, 634, 4544, 12704, 1379, 3662, 11394, 547, 865, 6139, 519, 20339, 540, 8697, 1004, 543, 3142, 4126, 543, 7067, 883, 741, 2729, 563, 10144, 609, 519, 4544, 12704, 1379, 3662, 1590, 3006, 7618, 2933, 547, 581, 25796, 593, 8317, 269, 4033, 1004, 949, 991, 948, 267, 855, 835, 1268, 666, 1152, 798, 865, 1454, 269, 645, 1168, 732, 540, 1373, 3144, 5413, 540, 610, 10825, 3054, 1932, 6094, 563, 23325, 12704, 570, 16201, 334, 12791, 454, 763, 4544, 12704, 3090, 568, 835, 540, 1434, 9939, 543, 26454, 269, 898, 568, 1419, 1031, 538, 562, 27658, 2389, 1335, 539, 6272, 269, 634, 4544, 12704, 31024, 568, 1419, 11821, 609, 513, 15179, 610, 519, 16190, 1317, 540, 922, 2147, 7801, 267, 855, 538, 1249, 267, 782, 1614, 540, 873, 616, 3833, 1114, 543, 723, 10058, 4162, 563, 763, 4544, 12704, 31024, 568, 1419, 2404, 609, 922, 29631, 543, 12572, 2956, 267, 602, 568, 267, 609, 13884, 267, 8788, 267, 519, 12625, 540, 5614, 267, 610, 1434, 9939, 269, 634, 4190, 4544, 540, 519, 6177, 849, 8711, 18163, 8788, 543, 19595, 519, 1268, 540, 519, 2484, 3613, 4958, 4221, 6607, 543, 519, 5191, 602, 621, 23327, 563, 293, 1168, 5017, 267, 610, 1256, 7068, 267, 666, 3409, 547, 581, 865, 28025, 543, 4625, 4448, 609, 22406, 543, 19039, 7772, 269, 3245, 4126, 547, 694, 1066, 640, 547, 27277, 267, 519, 1082, 10096, 540, 519, 4544, 12704, 2731, 14974, 1524, 547, 835, 3364, 281, 8788, 269, 901, 6177, 568, 865, 2027, 267, 865, 28292, 267, 543, 865, 23406, 267, 602, 649, 723, 2097, 547, 1294, 621, 607, 519, 20032, 540, 938, 1034, 2318, 3929, 1995, 269, 1703, 666, 581, 1100, 2362, 17192, 982, 602, 256, 0, 12709, 1315, 2349, 9233, 1315, 454, 763, 2832, 540, 713, 1641, 568, 547, 948, 1053, 1020, 519, 2838, 1983, 538, 519, 4058, 267, 5542, 267, 543, 2079, 11775, 540, 519, 1062, 1646, 1272, 4783, 269, 4197, 543, 1210, 2013, 12222, 267, 6389, 1362, 12222, 267, 543, 1062, 5311, 12222, 585, 1062, 1646, 563, 21902, 5811, 568, 519, 1184, 540, 606, 1367, 4974, 513, 1062, 538, 1931, 547, 6218, 267, 2203, 267, 543, 3442, 513, 9266, 4244, 585, 606, 1344, 1062, 269, 1703, 616, 1614, 4128, 1946, 1949, 2079, 7341, 616, 3323, 281, 2152, 267, 3255, 267, 543, 5528, 269, 634, 1949, 1646, 1272, 4783, 630, 16256, 9448, 264, 666, 581, 1031, 547, 2491, 519, 1184, 540, 2870, 1949, 563, 18455, 513, 2875, 267, 596, 666, 581, 11112, 2614, 543, 1522, 581, 8572, 547, 22302, 942, 547, 2347, 707, 1950, 10467, 269, 1284, 1174, 602, 1978, 5396, 543, 10467, 616, 7294, 543, 2154, 513, 2603, 540, 942, 547, 1902, 269, 2334, 779, 1946, 649, 616, 2139, 476, 2190, 270, 278, 547, 4217, 596, 609, 707, 10467, 3435, 269, 1284, 723, 513, 2319, 540, 1641, 4966, 945, 666, 4739, 707, 6280, 6780, 543, 17440, 12347, 538, 513, 2016, 942, 1974, 269, 12143, 948, 538, 5245, 568, 711, 513, 5326, 15042, 269, 2997, 841, 540, 519, 1655, 7084, 948, 538, 5245, 689, 1912, 6185, 269, 4966, 543, 2972, 1164, 9344, 563, 23338, 24368, 2160, 568, 835, 540, 519, 4102, 9945, 538, 5245, 5356, 15938, 267, 2022, 12392, 267, 22783, 267, 9733, 5557, 267, 543, 2228, 6030, 547, 1053, 693, 513, 2518, 1377, 563, 21132, 1292, 13464, 568, 538, 11870, 753, 12567, 538, 9412, 5069, 17980, 269, 898, 849, 814, 3786, 4926, 538, 1082, 4025, 538, 5245, 1519, 645, 5142, 321, 2033, 267, 25143, 629, 1120, 267, 9622, 12245, 267, 27963, 344, 267, 24332, 267, 17638, 267, 24104, 6807, 267, 3092, 563, 2750, 12304, 543, 1865, 1062, 2079, 2553, 563, 1103, 519, 2079, 5123, 540, 519, 12676, 9448, 267, 946, 1249, 1922, 4193, 5773, 563, 8794, 4143, 16097, 267, 2203, 519, 1459, 1062, 19841, 1444, 563, 7093, 6768, 2079, 543, 3593, 4170, 5359, 547, 3561, 519, 12676, 9448, 779, 2079, 5123, 563, 1607, 568, 606, 1367, 7084, 269, 634, 7084, 568, 5258, 883, 476, 273, 2694, 281, 3487, 589, 543, 3487, 645, 454, 8512, 589, 630, 1321, 269, 276, 7436, 994, 8512, 589, 5161, 540, 1079, 4247, 912, 1892, 13159, 782, 2228, 17118, 269, 1133, 15905, 8942, 269, 634, 5207, 6060, 786, 581, 6592, 607, 707, 1665, 269, 630, 277, 269, 1839, 7436, 994, 1892, 13159, 782, 5850, 2238, 543, 4247, 1282, 782, 2168, 5850, 5049, 269, 20028, 1053, 786, 1865, 543, 2347, 18862, 3842, 2228, 24680, 13460, 269, 630, 277, 269, 1839, 7436, 994, 1892, 8074, 602, 519, 1770, 4717, 13541, 786, 19597, 622, 707, 7436, 593, 782, 707, 2228, 17118, 269, 2659, 454, 1492, 20131, 786, 19597, 622, 782, 707, 5850, 960, 7436, 563, 8512, 645, 630, 9262, 269, 276, 7436, 994, 8512, 645, 3340, 782, 1053, 547, 2347, 782, 3487, 645, 4247, 543, 10505, 519, 1739, 593, 631, 22259, 912, 1892, 2290, 630, 272, 264, 9049, 6478, 1867, 5627, 4267, 585, 1142, 4305, 269, 634, 1867, 1590, 1331, 1770, 2012, 267, 1770, 3009, 267, 2875, 2407, 2012, 267, 2875, 9517, 267, 13464, 630, 528, 3845, 1070, 32082, 630, 528, 20131, 264, 593, 519, 4395, 2985, 563, 1892, 2290, 630, 272, 264, 9049, 6250, 1470, 3758, 5627, 519, 12222, 585, 570, 3696, 476, 273, 267, 476, 274, 267, 476, 275, 267, 543, 476, 276, 269, 634, 12222, 1590, 581, 538, 519, 1482, 3758, 267, 855, 593, 5094, 3817, 1369, 519, 6250, 1470, 3758, 269, 589, 13819, 14653, 610, 5299, 7146, 1790, 4292, 540, 1142, 540, 519, 2185, 12222, 1590, 849, 581, 3769, 538, 519, 9049, 6478, 1867, 563, 1892, 1280, 3811, 22347, 3827, 593, 631, 22259, 267, 1331, 519, 11807, 3758, 2010, 607, 2838, 1657, 563, 19111, 1353, 1107, 9891, 5295, 454, 4002, 519, 4493, 540, 519, 5018, 2013, 1353, 1685, 519, 1739, 4247, 563, 307, 2532, 476, 272, 281, 21976, 661, 997, 14591, 454, 2467, 616, 3670, 1344, 3766, 1430, 532, 2553, 4988, 538, 713, 1770, 269, 8564, 1079, 1034, 3730, 4143, 1344, 11018, 2553, 856, 540, 519, 3670, 585, 519, 1657, 9183, 602, 1131, 948, 596, 3927, 8495, 519, 1007, 1062, 4170, 269, 1411, 723, 547, 912, 1892, 14674, 1142, 540, 519, 1079, 1344, 11018, 2553, 538, 1469, 269, 3417, 4247, 602, 454, 30524, 581, 5340, 1210, 519, 4480, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 335, 815, 703, 9272, 31156, 1721, 1775, 538, 2039, 263, 271, 267, 533, 2187, 825, 2855, 815, 3403, 14061, 20889, 4590, 825, 513, 815, 703, 19906, 314, 272, 20285, 825, 7132, 821, 815, 703, 9230, 320, 1262, 273, 1341, 513, 8358, 273, 2020, 825, 1820, 2891, 24001, 15079, 15079, 15079, 2668, 8971, 19906, 314, 271, 3910, 7132, 821, 267, 476, 273, 265, 15200, 821, 910, 703, 19906, 314, 272, 25818, 476, 273, 265, 15200, 821, 4297, 0, 12849, 8266, 815, 476, 18358, 424, 506, 510, 423, 480, 502, 3299, 1412, 424, 356, 478, 14602, 478, 3299, 1412, 424, 488, 353, 425, 488, 506, 424, 500, 368, 425, 488, 372, 3299, 1412, 424, 376, 478, 423, 373, 486, 23300, 338, 27542, 815, 1412, 424, 504, 364, 423, 355, 361, 21844, 364, 499, 424, 499, 482, 424, 356, 478, 32629, 498, 10563, 484, 490, 425, 490, 490, 10563, 506, 482, 29306, 494, 424, 482, 506, 10563, 508, 498, 30319, 28847, 12849, 815, 1412, 282, 8339, 21860, 3799, 1868, 8266, 994, 2745, 263, 6943, 3799, 1868, 1070, 1412, 281, 3299, 4408, 994, 5320, 8266, 815, 4845, 21858, 3488, 30386, 2745, 9230, 6943, 27182, 8266, 24270, 1412, 281, 3299, 2262, 8266, 2020, 611, 1288, 7078, 815, 1412, 425, 490, 490, 27338, 424, 491, 361, 262, 1341, 1412, 425, 490, 490, 27338, 424, 491, 361, 262, 1341, 1412, 425, 490, 490, 27338, 424, 491, 361, 7055, 20123, 328, 6473, 7078, 815, 1412, 425, 490, 490, 27338, 424, 491, 361, 262, 2608, 476, 273, 454, 2745, 3488, 425, 483, 491, 424, 488, 353, 425, 488, 372, 14091, 491, 356, 424, 483, 486, 2433, 3299, 1840, 7078, 994, 2745, 3488, 425, 483, 491, 424, 488, 353, 425, 488, 372, 21844, 367, 365, 424, 483, 486, 2433, 3299, 8691, 7078, 2020, 1598, 815, 1412, 23911, 715, 299, 307, 298, 7055, 2745, 19304, 314, 272, 7481, 2745, 19304, 15631, 274, 8079, 0, 5228, 562, 2741, 330, 269, 5471, 7879, 6155, 2700, 1104, 12575, 5091, 2700, 692, 3698, 1250, 318, 539, 527, 5091, 2700, 19304, 272, 267, 1193, 273, 2187, 825, 544, 284, 7003, 19304, 272, 264, 1341, 476, 272, 454, 825, 562, 284, 7003, 19304, 273, 264, 1341, 476, 272, 692, 825, 3349, 815, 31460, 825, 585, 1775, 538, 2039, 9852, 2567, 3349, 5157, 267, 271, 24557, 328, 454, 825, 585, 795, 538, 2039, 3799, 2567, 3349, 314, 271, 25814, 24557, 329, 692, 825, 585, 1775, 538, 2039, 263, 272, 267, 544, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 562, 2187, 2018, 1942, 815, 476, 271, 952, 1193, 272, 5157, 910, 476, 272, 316, 2652, 1193, 273, 14728, 910, 476, 272, 316, 3116, 476, 272, 454, 2018, 3349, 5157, 25814, 316, 815, 1295, 6025, 762, 5157, 267, 795, 268, 272, 27994, 272, 267, 3349, 5157, 268, 272, 267, 795, 27994, 272, 267, 3349, 5157, 268, 272, 267, 795, 268, 272, 27994, 322, 739, 2020, 825, 2132, 3349, 5157, 25814, 6540, 2745, 2891, 5978, 23990, 2433, 2580, 3240, 318, 539, 527, 5091, 2700, 2891, 8518, 2580, 834, 663, 27363, 2745, 2891, 301, 299, 307, 298, 23990, 2433, 2580, 539, 527, 5091, 2700, 2891, 8518, 2580, 834, 663, 257, 4297, 0, 5814, 15259, 692, 3698, 556, 4067, 6958, 3796, 10031, 825, 1948, 272, 1205, 3758, 4408, 689, 17835, 454, 825, 3758, 8217, 815, 15259, 269, 4289, 323, 597, 16868, 257, 270, 5825, 619, 270, 2704, 1460, 270, 5327, 330, 9008, 270, 1440, 1678, 5602, 825, 1820, 630, 12803, 8217, 2020, 825, 10710, 24786, 815, 15259, 10947, 322, 23424, 3890, 1948, 338, 1511, 519, 1699, 2324, 15682, 4087, 692, 825, 1948, 273, 585, 1142, 3758, 267, 556, 4067, 3758, 454, 825, 15259, 26716, 323, 597, 16868, 257, 270, 5825, 619, 270, 2704, 1460, 270, 5327, 330, 9008, 270, 1440, 1678, 8442, 1948, 2998, 547, 1697, 15682, 454, 825, 585, 3758, 12173, 538, 3758, 8217, 912, 1038, 15259, 269, 1066, 877, 31526, 12173, 267, 3758, 12173, 6745, 4920, 17218, 2891, 11277, 27174, 4281, 280, 271, 8442, 2020, 825, 1820, 630, 12803, 8217, 994, 825, 15259, 26716, 323, 597, 4433, 8491, 24786, 264, 1948, 2998, 1394, 547, 3312, 15682, 692, 1066, 877, 6958, 3796, 4590, 0, 1721, 1293, 538, 2039, 263, 272, 267, 476, 1220, 271, 2187, 476, 952, 1293, 4939, 476, 273, 2652, 476, 272, 912, 825, 1820, 1412, 10831, 568, 22207, 1293, 267, 1412, 1607, 568, 606, 9642, 1297, 25692, 476, 3116, 912, 825, 1820, 1412, 10831, 568, 22207, 1293, 267, 1412, 1607, 568, 606, 1256, 1297, 25692, 0, 258, 273, 268, 274, 3097, 4067, 815, 1412, 2421, 572, 1597, 7055, 604, 2012, 2652, 1412, 2421, 572, 1597, 262, 10778, 13537, 2891, 15916, 18238, 267, 30524, 596, 899, 547, 1451, 930, 5124, 2221, 5602, 0, 258, 289, 23395, 11831, 1788, 454, 5228, 14409, 1104, 27661, 5228, 4351, 1104, 2608, 692, 30720, 630, 6110, 267, 6110, 264, 258, 338, 1115, 3259, 543, 8700, 540, 6885, 454, 19990, 815, 630, 271, 267, 271, 267, 14838, 264, 258, 338, 1115, 2681, 540, 519, 3440, 454, 258, 749, 15199, 300, 1712, 18154, 3036, 301, 2207, 994, 15640, 630, 271, 267, 271, 267, 14838, 264, 1948, 293, 1571, 519, 31753, 609, 4544, 2681, 454, 3724, 3033, 263, 10019, 267, 10019, 267, 10019, 994, 749, 15199, 263, 476, 5197, 267, 476, 5197, 267, 476, 1839, 267, 476, 1839, 3738, 258, 5036, 4358, 4087, 540, 31753, 454, 311, 815, 476, 5197, 454, 312, 815, 476, 5197, 692, 3698, 1847, 14738, 10031, 825, 2518, 2473, 267, 312, 454, 825, 1247, 2473, 283, 4343, 279, 912, 1038, 4282, 263, 10019, 267, 10019, 267, 10019, 994, 1038, 31753, 11583, 267, 476, 5197, 267, 476, 1839, 267, 476, 1839, 994, 1038, 2473, 284, 311, 266, 272, 3097, 1038, 8488, 263, 272, 9239, 3698, 1847, 29381, 10031, 825, 2518, 2473, 267, 312, 454, 825, 1247, 2473, 285, 1321, 912, 1038, 4282, 263, 476, 10019, 267, 10019, 267, 10019, 12467, 1038, 31753, 11583, 267, 5197, 267, 1839, 267, 1839, 994, 1038, 2473, 284, 311, 268, 272, 454, 1038, 8488, 263, 272, 2020, 3698, 1847, 10000, 10031, 825, 2518, 2473, 267, 312, 454, 825, 1247, 962, 285, 1321, 912, 1038, 4282, 263, 10019, 267, 10019, 267, 10019, 994, 1038, 31753, 263, 5197, 267, 312, 267, 476, 1839, 267, 476, 1839, 994, 1038, 962, 284, 312, 266, 272, 3097, 1038, 8488, 263, 272, 994, 13872, 3698, 1847, 291, 1144, 10031, 825, 2518, 2473, 267, 312, 454, 825, 1247, 962, 285, 4343, 279, 912, 1038, 4282, 263, 10019, 267, 10019, 267, 10019, 994, 1038, 31753, 263, 5197, 267, 312, 267, 476, 1839, 267, 476, 1839, 994, 1038, 962, 284, 312, 268, 272, 3097, 1038, 8488, 263, 272, 994, 13872, 332, 913, 906, 815, 9497, 332, 913, 14738, 3890, 14824, 332, 913, 29381, 3890, 14824, 332, 913, 10000, 14824, 332, 913, 291, 1144, 5602, 8681, 9792, 263, 275, 994, 8931, 6112, 6936, 10778, 825, 5322, 815, 9497, 332, 913, 14738, 3890, 14824, 332, 913, 29381, 3890, 14824, 332, 913, 10000, 14824, 332, 913, 291, 1144, 5602, 825, 28219, 9792, 263, 275, 994, 825, 1948, 332, 913, 14738, 4590, 825, 1948, 332, 913, 29381, 4590, 825, 1948, 332, 913, 10000, 4590, 825, 1948, 332, 913, 291, 1144, 4590, 13872, 13872, 1363, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 28605, 8193, 281, 29031, 293, 268, 279, 20609, 8894, 5814, 942, 454, 3698, 4017, 3799, 2187, 825, 513, 267, 536, 815, 476, 272, 267, 476, 272, 454, 825, 585, 1775, 538, 2039, 3799, 910, 476, 272, 2187, 1038, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 825, 2132, 513, 7531, 258, 476, 27447, 24731, 29072, 21588, 361, 1015, 14748, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 454, 2745, 6600, 756, 263, 1015, 11723, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 321, 815, 513, 11468, 2639, 2745, 6357, 994, 5503, 4732, 2748, 263, 272, 2020, 3240, 291, 815, 27835, 14403, 272, 9166, 272, 10086, 14403, 273, 9166, 273, 8679, 1721, 1883, 267, 7407, 538, 9598, 29096, 30044, 291, 2187, 825, 1820, 31107, 267, 7407, 994, 2745, 263, 5503, 269, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 3299, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 4297, 9239, 0, 5035, 524, 545, 32221, 912, 1219, 1292, 281, 3097, 476, 1247, 630, 276, 3436, 476, 10602, 543, 476, 10602, 2652, 586, 2187, 567, 2132, 1535, 454, 476, 952, 630, 25152, 2187, 567, 952, 6600, 4426, 2187, 825, 586, 815, 586, 1341, 1535, 454, 825, 1247, 630, 276, 3436, 476, 10602, 543, 476, 10602, 2652, 586, 2187, 672, 2132, 620, 2998, 454, 567, 8640, 630, 7918, 266, 276, 2567, 3097, 825, 962, 284, 3393, 28768, 476, 3116, 912, 567, 1820, 1535, 454, 476, 3116, 912, 567, 1820, 1535, 454, 0, 12163, 1607, 7097, 2488, 3710, 2987, 3070, 540, 17501, 519, 2012, 780, 2690, 608, 14090, 548, 1384, 825, 568, 5334, 877, 12173, 2891, 420, 503, 492, 420, 503, 492, 2580, 834, 418, 351, 355, 13200, 509, 418, 372, 483, 25426, 366, 28374, 420, 503, 492, 420, 503, 492, 15419, 20701, 3698, 700, 5425, 10490, 267, 645, 2187, 825, 8173, 825, 3752, 591, 585, 700, 5425, 263, 16524, 652, 1455, 1016, 572, 336, 324, 684, 576, 1966, 1070, 667, 303, 3070, 454, 825, 2433, 12407, 589, 281, 5569, 589, 454, 825, 2433, 12407, 645, 281, 5569, 645, 454, 825, 2433, 8873, 281, 519, 3259, 540, 700, 5425, 454, 825, 8173, 825, 562, 815, 7003, 10490, 994, 825, 544, 815, 7003, 16360, 994, 825, 952, 544, 2652, 476, 271, 610, 562, 2652, 476, 271, 912, 1038, 2132, 910, 272, 454, 825, 524, 815, 20886, 271, 585, 9041, 538, 2039, 9852, 1341, 476, 272, 13580, 585, 9041, 538, 2039, 3799, 1341, 476, 272, 22708, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 1341, 476, 272, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 544, 1341, 476, 272, 2187, 2018, 952, 589, 5157, 910, 476, 272, 316, 2652, 645, 14728, 910, 476, 272, 14158, 3546, 524, 5157, 6012, 329, 316, 815, 524, 5157, 910, 476, 272, 6012, 329, 910, 476, 272, 316, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 524, 5157, 6012, 329, 316, 815, 3193, 6262, 5157, 6012, 329, 910, 476, 272, 3910, 524, 5157, 910, 476, 272, 6012, 329, 7481, 825, 2132, 524, 15631, 272, 6012, 268, 272, 6540, 3698, 568, 5334, 877, 12173, 10490, 267, 645, 2187, 825, 8173, 825, 25960, 2436, 621, 568, 519, 1482, 2012, 934, 549, 3429, 547, 840, 20452, 12939, 454, 825, 2433, 12407, 589, 281, 2012, 589, 630, 339, 13759, 2012, 994, 825, 2433, 12407, 645, 281, 2012, 645, 630, 339, 6374, 622, 2012, 994, 825, 2433, 8873, 281, 645, 944, 4433, 534, 640, 610, 711, 1070, 24524, 263, 1492, 4110, 540, 17501, 994, 825, 8173, 825, 561, 14369, 815, 700, 5425, 10490, 267, 645, 2020, 825, 8516, 815, 561, 14369, 1315, 630, 6352, 10490, 264, 2608, 476, 271, 269, 280, 1341, 7003, 16360, 264, 2608, 476, 271, 269, 272, 994, 825, 7254, 640, 815, 561, 14369, 1315, 7003, 10490, 264, 3436, 476, 271, 269, 276, 692, 825, 1948, 3816, 1046, 287, 2993, 889, 2967, 4905, 281, 519, 6138, 3297, 519, 12596, 568, 602, 912, 825, 1948, 630, 272, 2567, 10959, 2012, 568, 32118, 267, 855, 2882, 930, 13181, 1883, 342, 832, 630, 324, 3052, 281, 22614, 499, 503, 419, 503, 377, 530, 25331, 6745, 269, 17276, 351, 355, 13200, 509, 418, 372, 483, 25426, 366, 28374, 419, 499, 503, 419, 503, 377, 24724, 454, 825, 1948, 630, 273, 2567, 952, 519, 3259, 540, 700, 5425, 7361, 13292, 519, 3077, 2012, 267, 1287, 649, 1589, 621, 1118, 2631, 454, 825, 1948, 630, 274, 2567, 952, 519, 3259, 540, 700, 5425, 1256, 9985, 6474, 519, 10959, 2012, 267, 1287, 649, 1589, 621, 568, 811, 9666, 1043, 692, 825, 952, 7254, 640, 912, 1038, 2132, 6936, 267, 8516, 454, 825, 3116, 912, 1038, 2132, 8771, 267, 8516, 692, 3698, 1265, 6958, 527, 12173, 28442, 267, 7535, 2187, 825, 8173, 825, 4855, 519, 1034, 829, 2536, 762, 2012, 538, 519, 7535, 454, 825, 2433, 12407, 2012, 281, 513, 5569, 267, 519, 5817, 2407, 2012, 568, 538, 7535, 269, 5236, 376, 486, 324, 3052, 16088, 1412, 421, 504, 493, 421, 352, 492, 262, 24724, 454, 825, 2433, 12407, 7535, 281, 513, 1592, 267, 3568, 513, 1906, 1592, 540, 11134, 2012, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 14579, 5678, 5530, 910, 19176, 256, 4653, 649, 2811, 2469, 547, 2263, 31436, 12782, 363, 1912, 5451, 335, 22870, 12782, 485, 339, 21601, 630, 309, 2884, 17592, 8239, 264, 1927, 269, 5213, 1405, 5855, 952, 596, 723, 2760, 6594, 621, 1354, 282, 649, 786, 1491, 621, 1900, 676, 1900, 609, 2312, 3137, 543, 1187, 1806, 269, 2913, 781, 4685, 1318, 883, 938, 1101, 1523, 281, 23527, 543, 20530, 545, 919, 2439, 288, 4845, 2356, 814, 1079, 1292, 2694, 281, 519, 1641, 543, 519, 2392, 6510, 269, 634, 2878, 11357, 915, 1262, 6645, 721, 945, 610, 1018, 519, 4845, 568, 827, 267, 1247, 519, 2878, 335, 1042, 6510, 1262, 3947, 1344, 827, 519, 1641, 269, 1280, 1383, 1384, 265, 594, 630, 20428, 264, 3548, 630, 303, 1042, 6510, 264, 20397, 780, 3086, 1577, 781, 1413, 693, 930, 5220, 538, 19176, 1384, 265, 570, 20110, 328, 17487, 481, 333, 844, 17554, 352, 512, 7776, 269, 630, 296, 3548, 19337, 8094, 453, 266, 1412, 307, 20110, 328, 262, 568, 519, 1641, 543, 1412, 26324, 333, 844, 17554, 352, 512, 7776, 262, 568, 519, 2392, 6510, 780, 1103, 19176, 267, 1175, 899, 2296, 267, 5396, 616, 1419, 5116, 693, 519, 4098, 540, 519, 4845, 269, 1717, 267, 3006, 789, 2097, 1310, 519, 8231, 950, 6998, 2055, 1384, 265, 645, 17554, 350, 333, 17487, 495, 12782, 491, 322, 521, 5451, 577, 286, 630, 2710, 596, 1224, 1433, 286, 994, 453, 266, 3371, 267, 519, 2243, 6238, 609, 519, 2392, 6510, 18011, 384, 495, 12782, 491, 322, 10807, 4553, 676, 519, 1641, 18011, 321, 17554, 350, 333, 262, 1040, 1809, 1810, 1405, 5855, 267, 713, 3085, 1405, 1689, 519, 2495, 540, 519, 4845, 1317, 2796, 2337, 721, 1174, 2439, 15124, 2816, 256, 3767, 602, 649, 917, 875, 547, 2697, 5396, 543, 32252, 919, 538, 19176, 267, 1577, 781, 2259, 1210, 873, 609, 891, 5751, 1384, 272, 269, 13159, 519, 1739, 5220, 609, 3617, 5396, 543, 32252, 919, 912, 320, 269, 12223, 13090, 23356, 12782, 356, 18665, 12782, 503, 333, 554, 17554, 379, 339, 8913, 17554, 356, 333, 269, 630, 3071, 3207, 338, 3735, 1169, 3018, 8094, 321, 269, 670, 13168, 344, 31233, 524, 5889, 340, 562, 14504, 344, 642, 12782, 505, 328, 536, 17554, 350, 333, 536, 11726, 269, 630, 8923, 10956, 12223, 713, 4845, 609, 2828, 8094, 273, 269, 3690, 17218, 519, 2016, 2296, 5220, 883, 19176, 912, 320, 269, 2701, 29397, 12129, 9522, 697, 563, 321, 269, 1358, 1353, 2182, 585, 11400, 780, 8855, 267, 4742, 21295, 538, 1022, 1893, 3217, 942, 543, 2259, 269, 1924, 1832, 8026, 543, 3695, 1007, 2035, 538, 19176, 8239, 269, 8414, 4974, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10817, 21186, 10620, 8675, 7824, 3301, 1863, 4647, 1368, 21186, 10620, 269, 6733, 909, 513, 2262, 267, 1039, 610, 12189, 606, 7127, 267, 543, 1451, 1913, 693, 707, 1378, 11733, 689, 513, 2123, 1565, 1592, 269, 901, 568, 711, 1152, 513, 8675, 855, 849, 513, 1565, 1907, 269, 3057, 476, 5400, 267, 476, 1001, 279, 7803, 5650, 3009, 476, 3192, 274, 1863, 7824, 538, 1368, 21186, 10620, 4647, 1034, 791, 575, 572, 321, 476, 1321, 628, 16450, 4604, 981, 1957, 476, 1001, 279, 4647, 1368, 21186, 10620, 4266, 8797, 1699, 12602, 1863, 476, 1001, 279, 2063, 9337, 269, 30899, 10620, 1888, 1592, 1368, 21186, 10620, 7005, 7121, 11552, 553, 1465, 476, 272, 269, 30899, 10620, 547, 7005, 8675, 585, 543, 5514, 3284, 330, 4647, 269, 5131, 1368, 21186, 10620, 552, 9248, 2139, 547, 1224, 543, 4647, 269, 21584, 3450, 12332, 547, 1368, 21186, 10620, 6267, 540, 7005, 269, 1401, 1746, 689, 519, 8675, 786, 2132, 596, 547, 4950, 11422, 610, 824, 3156, 1586, 269, 1411, 666, 1826, 519, 1257, 596, 1616, 12261, 543, 1287, 4945, 519, 14377, 7735, 269, 3367, 543, 4647, 1863, 1368, 21186, 10620, 2835, 267, 9089, 543, 2984, 7824, 267, 1368, 21186, 10620, 3209, 1863, 4647, 267, 1368, 21186, 10620, 11509, 3209, 267, 2648, 1650, 267, 1368, 21186, 10620, 909, 1415, 553, 543, 4015, 540, 1082, 1368, 21186, 10620, 2835, 585, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 326, 12782, 363, 943, 5451, 335, 22870, 12782, 485, 339, 21601, 1262, 630, 309, 2884, 17592, 18049, 17983, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 19176, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3992, 593, 4974, 21273, 256, 4653, 649, 2811, 2469, 547, 1451, 930, 2994, 547, 948, 721, 1174, 2352, 5931, 543, 2697, 6959, 899, 513, 605, 269, 1452, 1983, 786, 2097, 538, 13561, 950, 8600, 585, 13387, 4255, 899, 519, 4521, 3427, 1520, 3939, 4530, 630, 11862, 2969, 1040, 4634, 952, 596, 1810, 1405, 1544, 593, 4742, 513, 15818, 1175, 2943, 267, 891, 2553, 666, 2087, 707, 2542, 8223, 543, 2565, 3206, 5759, 269, 2913, 781, 4685, 883, 5470, 2079, 2439, 5331, 596, 4312, 11402, 513, 14845, 5037, 4904, 609, 1950, 1913, 543, 15458, 5220, 269, 1215, 1131, 596, 10994, 713, 4161, 286, 3776, 1101, 1900, 568, 547, 2736, 1524, 519, 1257, 883, 4130, 2694, 1572, 834, 577, 16218, 1701, 901, 2306, 621, 4443, 547, 1184, 543, 1174, 519, 2949, 5048, 780, 9202, 267, 1577, 781, 1413, 693, 1808, 1913, 4929, 10539, 269, 1280, 1383, 267, 1018, 1281, 834, 2045, 320, 257, 1611, 538, 519, 2796, 540, 519, 4367, 286, 4270, 267, 1310, 7421, 922, 6165, 267, 649, 8275, 602, 621, 1522, 581, 513, 1462, 334, 256, 9320, 519, 2278, 5921, 834, 996, 923, 2437, 799, 9388, 609, 5837, 3741, 543, 2418, 269, 1635, 7114, 1761, 1462, 657, 267, 649, 666, 1732, 9787, 519, 5497, 2495, 780, 5194, 1271, 2460, 540, 5470, 2079, 568, 9301, 7508, 610, 3063, 1913, 269, 6333, 713, 4845, 23650, 689, 4505, 281, 834, 1348, 619, 616, 5468, 602, 979, 519, 13144, 1063, 1850, 8279, 1701, 1284, 5469, 1945, 4667, 1055, 1934, 22924, 5526, 607, 1498, 606, 1898, 2262, 899, 834, 928, 539, 257, 3893, 4503, 2059, 519, 1259, 269, 1924, 267, 676, 4946, 519, 7508, 2262, 267, 649, 1205, 281, 834, 5649, 619, 616, 5468, 602, 991, 547, 979, 998, 519, 13144, 1063, 1850, 8279, 1701, 3767, 519, 4845, 8928, 811, 25401, 2439, 4131, 781, 849, 2263, 3765, 31419, 1110, 13294, 269, 1358, 2049, 950, 10855, 2609, 2408, 1932, 2484, 2476, 689, 741, 4890, 9072, 269, 6733, 585, 10881, 971, 607, 862, 553, 610, 3448, 21770, 9497, 6518, 2437, 834, 7474, 8442, 602, 5365, 519, 1376, 610, 1439, 540, 513, 8360, 269, 14597, 649, 1265, 834, 324, 908, 27861, 513, 2034, 27646, 321, 12294, 1701, 22682, 267, 1426, 3085, 1405, 11578, 4376, 282, 3079, 267, 2576, 3957, 834, 2662, 16824, 321, 12294, 1948, 273, 257, 4440, 15824, 602, 2962, 269, 4935, 267, 556, 874, 337, 2084, 2337, 12172, 519, 8247, 281, 834, 288, 2034, 27646, 321, 12294, 22655, 1247, 11578, 532, 3010, 7661, 267, 1577, 781, 1865, 24813, 1893, 269, 6884, 4589, 946, 22394, 2474, 610, 7215, 602, 4734, 4055, 585, 7664, 269, 1323, 1383, 1223, 581, 834, 16451, 3435, 257, 1107, 855, 1018, 4010, 1281, 602, 27167, 286, 3657, 789, 6158, 827, 1863, 3301, 267, 3114, 6878, 267, 610, 6148, 1256, 5191, 3294, 286, 1677, 8207, 713, 3390, 267, 2119, 4466, 3606, 2796, 10881, 7404, 610, 5077, 824, 2959, 547, 7522, 1524, 2009, 8847, 780, 1103, 3932, 267, 13215, 5470, 2079, 3322, 8840, 1524, 1950, 5931, 267, 31986, 1462, 657, 267, 29780, 7508, 1913, 267, 21338, 3765, 31419, 1110, 13294, 267, 543, 21264, 532, 24813, 1893, 269, 2060, 2259, 267, 891, 1983, 786, 3986, 707, 1620, 540, 4101, 2326, 543, 5512, 596, 547, 14133, 538, 1585, 4081, 18697, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 2070, 16044, 491, 28821, 18547, 513, 19496, 814, 513, 3135, 543, 568, 519, 2872, 267, 585, 10451, 267, 5654, 875, 5376, 6776, 621, 8761, 585, 602, 7020, 547, 22067, 5468, 540, 519, 12445, 269, 715, 758, 807, 267, 11197, 543, 9786, 1142, 616, 1524, 3504, 1949, 547, 581, 585, 519, 3625, 540, 2828, 269, 8616, 972, 616, 16332, 641, 1156, 12111, 1227, 1483, 6066, 543, 16957, 5011, 609, 3688, 547, 12575, 3197, 269, 3962, 561, 540, 513, 4244, 21266, 1540, 547, 2234, 23956, 568, 519, 4939, 540, 1344, 538, 602, 4760, 2389, 1856, 267, 4189, 27861, 513, 2034, 27646, 321, 12294, 540, 1279, 8103, 17048, 269, 2068, 1344, 1510, 9306, 519, 17200, 269, 827, 267, 2853, 543, 4891, 723, 6383, 585, 24517, 7992, 30279, 17473, 593, 1863, 10298, 269, 3988, 616, 5468, 602, 979, 519, 13144, 1063, 1850, 8279, 267, 8026, 547, 581, 513, 13345, 610, 263, 13772, 513, 30966, 2534, 269, 2859, 1318, 267, 1053, 616, 723, 2179, 543, 12575, 9271, 689, 3168, 1044, 269, 634, 2497, 2115, 1510, 1022, 18736, 269, 1879, 11067, 1063, 1079, 2139, 2533, 540, 1576, 610, 645, 12839, 269, 1879, 1210, 513, 2030, 540, 5358, 1369, 513, 1685, 4545, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 700, 306, 2969, 630, 25187, 3427, 1520, 3939, 4530, 264, 1315, 18438, 5811, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 1394, 267, 594, 1336, 8885, 4058, 513, 7552, 547, 15212, 267, 6273, 14356, 676, 1250, 2648, 585, 8106, 2575, 630, 663, 9811, 267, 834, 763, 14675, 540, 8535, 257, 1932, 1040, 1306, 606, 28048, 3434, 543, 1426, 27423, 267, 594, 729, 849, 9599, 547, 2263, 519, 2197, 781, 3638, 11477, 2528, 269, 1924, 267, 950, 594, 16686, 2390, 707, 1592, 540, 22341, 1426, 15976, 267, 621, 5433, 899, 22038, 2439, 296, 6825, 1250, 11706, 585, 519, 6428, 345, 10767, 3455, 674, 3949, 9225, 548, 267, 23362, 9027, 908, 711, 1152, 1158, 11665, 12644, 855, 849, 10386, 2295, 344, 8286, 899, 570, 2378, 1564, 335, 6308, 267, 590, 1013, 6308, 1564, 267, 543, 19471, 5899, 644, 1564, 269, 16270, 12625, 267, 594, 3533, 4092, 519, 30018, 1426, 588, 8712, 31314, 1851, 555, 3994, 338, 540, 1004, 1810, 940, 546, 597, 526, 3149, 543, 3366, 518, 327, 4923, 269, 13259, 267, 519, 3501, 21599, 883, 1312, 1148, 543, 8819, 25348, 2439, 4913, 267, 972, 729, 835, 1966, 1765, 31138, 594, 22821, 1405, 17191, 1247, 2892, 22899, 936, 707, 7840, 269, 1411, 4769, 1405, 2446, 602, 891, 2621, 1522, 1459, 1978, 2591, 585, 3543, 12579, 1862, 3697, 803, 269, 3733, 10761, 546, 13388, 1194, 607, 6676, 1310, 6676, 12286, 1585, 11912, 540, 5779, 267, 30725, 1137, 267, 543, 1055, 531, 269, 898, 8604, 602, 17724, 773, 3681, 941, 5176, 1875, 7721, 11962, 693, 1034, 588, 8712, 780, 291, 17827, 711, 547, 1577, 713, 14927, 523, 1250, 6891, 267, 594, 4956, 547, 1935, 519, 3390, 609, 9644, 269, 2991, 782, 267, 17409, 568, 1419, 519, 1655, 4915, 256, 594, 3459, 6998, 21527, 952, 789, 1185, 4376, 1510, 1412, 293, 548, 27688, 10086, 3843, 2182, 547, 16401, 17254, 326, 956, 1142, 942, 741, 7138, 1194, 7215, 2620, 2989, 269, 2290, 2186, 14799, 1256, 6035, 803, 513, 4584, 548, 267, 1273, 1154, 1250, 1688, 1623, 6312, 24312, 1247, 9597, 332, 1005, 1945, 827, 3940, 780, 30631, 1302, 267, 11439, 609, 6043, 543, 513, 16012, 7071, 585, 519, 4436, 2262, 1412, 557, 1146, 518, 262, 630, 29455, 3991, 27204, 5991, 7795, 337, 1070, 594, 4362, 1896, 21889, 512, 26786, 1063, 519, 23097, 5387, 688, 26223, 269, 9540, 6763, 1630, 16556, 8949 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 2689, 540, 3332, 602, 3096, 519, 7828, 540, 519, 1985, 5108, 2257, 3444, 12827, 1154, 2035, 281, 476, 1001, 273, 1700, 1001, 280, 454, 292, 11915, 543, 7216, 19974, 4065, 454, 6124, 15024, 538, 2257, 2069, 1289, 585, 1614, 8820, 1565, 676, 10128, 30095, 4295, 2093, 267, 2257, 543, 4702, 2853, 267, 543, 3444, 12827, 1154, 2035, 630, 6717, 12336, 1040, 1452, 15024, 3989, 519, 1007, 2165, 267, 3444, 12827, 1154, 1523, 630, 6717, 290, 1070, 607, 513, 7828, 602, 814, 28706, 1379, 2066, 10459, 269, 1677, 4766, 875, 3173, 616, 6313, 543, 1210, 519, 595, 6717, 338, 1644, 547, 2257, 3450, 543, 1565, 267, 513, 3332, 2689, 729, 5342, 547, 2697, 4930, 602, 3769, 519, 2165, 968, 29589, 12827, 1154, 1523, 892, 2094, 922, 4367, 538, 476, 1001, 273, 269, 634, 4930, 941, 7522, 539, 547, 1346, 602, 946, 519, 2165, 595, 6717, 607, 513, 5057, 540, 519, 25194, 267, 2079, 267, 4681, 267, 610, 4901, 540, 741, 12170, 610, 1875, 655, 2869, 673, 2376, 269, 589, 15410, 540, 519, 4857, 4574, 11840, 730, 593, 519, 595, 6717, 338, 3564, 4540, 3609, 6054, 543, 8100, 269, 1452, 4574, 941, 1930, 2275, 10757, 547, 2697, 4798, 538, 875, 519, 595, 6717, 338, 941, 1031, 269, 634, 4857, 4798, 2303, 602, 519, 595, 6717, 338, 616, 3730, 585, 2257, 3450, 267, 1565, 267, 543, 1382, 538, 2474, 540, 2870, 3255, 547, 1451, 267, 8220, 547, 519, 2462, 2856, 267, 16046, 547, 2259, 267, 5373, 593, 7482, 540, 1702, 267, 543, 8220, 2066, 3584, 543, 10459, 269, 1452, 4798, 941, 9916, 547, 2697, 2127, 540, 4540, 1445, 543, 1346, 538, 991, 540, 3606, 1382, 269, 901, 10282, 540, 519, 3332, 814, 6286, 585, 1210, 543, 4974, 519, 595, 6717, 338, 1369, 1614, 8820, 3450, 543, 1565, 563, 22711, 540, 3194, 538, 3163, 9752, 454, 19445, 8629, 5772, 8595, 630, 23077, 296, 264, 0, 288, 18948, 540, 15536, 4211, 31870, 26479, 538, 3127, 543, 519, 2136, 2276, 454, 19445, 8629, 5772, 8595, 630, 23077, 296, 994, 19284, 2757, 10963, 267, 621, 568, 2352, 547, 5581, 3656, 16278, 543, 6392, 585, 21991, 5024, 6880, 10963, 269, 901, 3390, 568, 2417, 7294, 676, 3604, 538, 8847, 540, 6880, 6760, 538, 1114, 2477, 269, 901, 3184, 4665, 919, 519, 3390, 609, 606, 1383, 540, 519, 14889, 10976, 292, 24168, 3644, 543, 19776, 519, 3656, 14074, 547, 8396, 6880, 2275, 31870, 538, 519, 2475, 543, 3127, 269, 634, 4589, 1265, 602, 972, 616, 1713, 3604, 1063, 3127, 543, 519, 2475, 538, 8847, 540, 6880, 13062, 1307, 269, 898, 5526, 602, 538, 519, 2136, 2276, 267, 621, 568, 513, 6760, 547, 1569, 1344, 602, 814, 1044, 10294, 547, 581, 14804, 269, 769, 3127, 267, 6309, 514, 1275, 3340, 23425, 540, 519, 1344, 5833, 1510, 28431, 269, 6271, 8037, 3017, 1063, 519, 21991, 1903, 540, 6880, 13062, 1307, 538, 519, 1079, 2477, 12211, 547, 25848, 523, 640, 543, 1232, 1890, 4031, 563, 24078, 713, 1543, 2854, 610, 2813, 1247, 693, 2475, 293, 888, 290, 2787, 1315, 21629, 21922, 454, 288, 18948, 540, 15536, 4211, 31870, 26479, 538, 3127, 543, 519, 2136, 2276, 267, 538, 670, 269, 8575, 1127, 327, 342, 926, 267, 670, 269, 590, 269, 5754, 2006, 1299, 631, 269, 3397, 3863, 531, 630, 32295, 13776, 15536, 8232, 267, 15536, 17235, 543, 15536, 5983, 985, 923, 281, 10241, 543, 21126, 267, 533, 269, 476, 3451, 268, 3393, 454, 306, 3273, 541, 12780, 27375, 454, 30538, 1127, 327, 342, 926, 267, 13924, 753, 16852, 282, 5754, 2006, 267, 670, 269, 590, 5919, 543, 3397, 3863, 531, 267, 2494, 880, 267, 834, 288, 18948, 540, 15536, 4211, 31870, 26479, 538, 3127, 543, 519, 2136, 2276, 257, 630, 1001, 272, 1040, 3427, 540, 6176, 7010, 543, 5004, 20513, 23549, 269, 476, 736, 269, 0, 263, 10743, 6158, 269, 13852, 14034, 8094, 263, 23178, 264, 6153, 12784, 3025, 563, 263, 10743, 264, 6153, 12784, 563, 263, 23178, 264, 1284, 782, 723, 713, 835, 1272, 547, 2661, 269, 589, 7904, 7566, 14692, 10838, 782, 602, 6818, 538, 713, 5318, 7122, 269, 1284, 723, 519, 2702, 547, 9585, 4376, 267, 5963, 4376, 267, 952, 649, 946, 938, 942, 20617, 563, 263, 23178, 264, 1772, 713, 20220, 2407, 888, 263, 23178, 264, 1772, 621, 2407, 1631, 888, 263, 23178, 264, 1215, 827, 1631, 286, 1772, 519, 20220, 2407, 1631, 888, 263, 23178, 669, 3089, 956, 547, 5128, 269, 15858, 17409, 269, 2859, 4928, 561, 13774, 615, 8094, 263, 23178, 264, 3767, 594, 1616, 596, 547, 5431, 602, 713, 20220, 4564, 707, 1272, 269, 634, 17075, 11084, 1862, 616, 519, 1271, 1919, 267, 707, 1920, 267, 707, 2828, 267, 707, 1072, 543, 707, 18653, 269, 634, 890, 6277, 956, 616, 519, 824, 1271, 1919, 267, 707, 1286, 267, 707, 2816, 267, 707, 1753, 269, 634, 5070, 568, 3388, 3116, 267, 519, 1507, 8631, 563, 3086, 267, 952, 596, 2322, 519, 5070, 538, 519, 20220, 1101, 267, 596, 4465, 1405, 723, 4055, 585, 519, 890, 6277, 956, 610, 519, 17075, 11084, 269, 634, 1482, 568, 3020, 538, 1272, 269, 1403, 596, 6108, 782, 707, 1648, 543, 707, 942, 593, 519, 1507, 8631, 267, 596, 4465, 1405, 723, 942, 585, 782, 519, 2731, 1271, 1919, 602, 2339, 547, 596, 563, 28324, 3007, 547, 519, 1919, 602, 616, 2565, 547, 707, 8788, 269, 6875, 1416, 540, 519, 17075, 11084, 1101, 267, 519, 2731, 1271, 1919, 269, 5590, 707, 14422, 267, 1317, 3388, 3116, 568, 1175, 5070, 563, 263, 22923, 264, 7905, 267, 1018, 1281, 519, 14420, 2099, 888, 263, 23178, 264, 594, 6415, 19914, 596, 4280, 269, 898, 4422, 547, 1397, 602, 1100, 2339, 875, 2407, 707, 1272, 949, 3100, 547, 581, 267, 972, 568, 2141, 4055, 585, 513, 7008, 540, 581, 619, 609, 513, 3659, 563, 309, 16191, 7689, 1280, 589, 19732, 1512, 5020, 454, 1607, 568, 676, 2484, 835, 540, 519, 1034, 3407, 4245, 585, 513, 18668, 1272, 269, 2991, 2542, 519, 1650, 676, 24697, 595, 913, 344, 594, 4956, 547, 3132, 713, 3381, 547, 2671, 519, 5048, 609, 1866, 269, 5192, 6273, 609, 713, 2110, 4670, 540, 513, 7548, 7713, 547, 1010, 1362, 519, 2956, 540, 1210, 835, 781, 942, 20617, 543, 4259, 14422, 538, 1931, 547, 723, 513, 16180, 1272, 269, 0, 290, 1301, 523, 268, 4517, 872, 320, 2398, 573, 773, 2535, 919, 538, 519, 968, 1805, 1559, 585, 1453, 892, 3296, 540, 519, 4139, 16520, 20520, 26269, 267, 476, 275, 628, 7160, 267, 689, 29246, 11732, 267, 27597, 269, 25844, 523, 268, 4517, 872, 320, 568, 476, 1704, 1296, 2025, 269, 2701, 568, 11461, 676, 7548, 29813, 514, 631, 26324, 337, 326, 26324, 761, 269, 1284, 9684, 1200, 585, 1200, 7589, 543, 6999, 1200, 1967, 563, 306, 5652, 1510, 9925, 1564, 4495, 2390, 513, 942, 267, 1354, 519, 6607, 729, 14700, 519, 3618, 609, 4764, 543, 1354, 519, 5017, 1166, 1221, 547, 824, 11182, 267, 17512, 1881, 676, 519, 4411, 5162, 267, 972, 729, 513, 29752, 1762, 555, 3971, 267, 1134, 8153, 543, 1134, 5498, 2117, 1117, 269, 1261, 729, 4941, 267, 4666, 610, 9800, 267, 676, 519, 10424, 22651, 1317, 1310, 2921, 2476, 6266, 540, 14446, 543, 17576, 18429, 267, 646, 1185, 2944, 519, 1034, 30891, 748, 957, 538, 519, 1686, 540, 21687, 5370, 281, 646, 1185, 21687, 519, 2542, 14296, 1318, 540, 519, 9224, 540, 519, 12008, 4622, 256, 1261, 729, 32170, 998, 519, 2898, 10806, 585, 7366, 540, 2395, 267, 855, 646, 729, 2760, 4758, 909, 267, 2760, 16715, 1010, 2212, 267, 2141, 4881, 2476, 585, 519, 19160, 540, 1010, 5191, 269, 2290, 3781, 267, 950, 519, 29677, 3576, 1747, 538, 513, 5458, 4104, 267, 519, 25330, 32357, 547, 1118, 513, 5858, 1472, 1864, 269, 634, 1762, 812, 267, 8746, 543, 609, 1312, 540, 1010, 3952, 16119, 593, 519, 2666, 267, 4718, 513, 3529, 538, 4395, 540, 1864, 267, 799, 7902, 547, 581, 865, 11999, 267, 602, 519, 3529, 13862, 4628, 20374, 538, 519, 4494, 540, 519, 12269, 1657, 269, 1261, 3459, 16246, 1510, 11688, 2787, 543, 20374, 538, 519, 5394, 4494, 540, 12269, 267, 6028, 1010, 13794, 11014, 3297, 269, 634, 22651, 7948, 1406, 1246, 1864, 267, 585, 519, 17657, 540, 519, 3529, 729, 2462, 899, 1614, 812, 832, 2322, 1927, 543, 865, 5347, 267, 602, 1100, 812, 1223, 2479, 581, 2111, 547, 18214, 621, 4849, 519, 32609, 614, 748, 1762, 555, 3971, 269, 681, 13589, 543, 2220, 8960, 827, 741, 5667, 15471, 267, 789, 2451, 4557, 2367, 1472, 519, 3490, 540, 519, 3529, 543, 12479, 585, 519, 23012, 547, 2132, 607, 4166, 607, 2009, 269, 1809, 519, 555, 3971, 6172, 5523, 1554, 543, 3781, 267, 8066, 5196, 17873, 267, 8371, 543, 25418, 267, 8840, 873, 267, 865, 602, 18864, 1223, 1246, 1864, 543, 1152, 11303, 676, 519, 3043, 561, 7927, 540, 12269, 269, 634, 17657, 2760, 8604, 547, 1439, 269, 1261, 6172, 5523, 2250, 519, 5207, 7823, 543, 12798, 267, 2394, 519, 562, 27197, 27630, 1554, 267, 950, 646, 6603, 519, 1283, 267, 13110, 543, 25356, 269, 1261, 1185, 6172, 5523, 519, 5207, 3529, 593, 3618, 269, 1703, 267, 646, 1223, 1294, 5128, 936, 513, 4262, 540, 5144, 344, 12269, 267, 543, 519, 3141, 22205, 1864, 609, 1010, 3636, 11344, 3946, 267, 855, 646, 4362, 1010, 15265, 12161, 281, 1261, 7948, 1406, 18214, 1394, 1524, 267, 585, 646, 1185, 7745, 1034, 540, 519, 8371, 267, 543, 646, 729, 24949, 267, 593, 1283, 540, 519, 1158, 269, 3794, 334, 3912, 267, 519, 555, 3971, 2893, 593, 513, 7936, 267, 17696, 519, 5613, 540, 519, 3529, 543, 1743, 1678, 519, 12772, 540, 4764, 269, 1261, 25343, 519, 32175, 6607, 267, 519, 3043, 4262, 267, 855, 849, 6956, 602, 646, 7948, 1406, 23507, 519, 6801, 15042, 607, 1454, 607, 646, 1031, 547, 267, 1317, 789, 941, 2484, 267, 2484, 18284, 1864, 269, 1261, 1185, 16290, 5128, 909, 972, 267, 7487, 513, 6607, 1510, 6801, 267, 856, 540, 18174, 880, 1145, 543, 8709, 640, 269, 5384, 5293, 543, 835, 1554, 30627, 3710, 513, 1259, 998, 519, 2247, 540, 519, 1762, 812, 269, 808, 3183, 569, 267, 646, 3576, 856, 519, 2542, 14296, 21687, 689, 1010, 9576, 4400, 1145, 543, 2322, 873, 1354, 1010, 4064, 269, 22582, 267, 1010, 8289, 1223, 2736, 998, 519, 10053, 12269, 543, 646, 1223, 1294, 1169, 2582, 2370, 2713, 3364, 856, 972, 281, 519, 29737, 267, 9589, 14296, 941, 6029, 1864, 1453, 4730, 593, 519, 4610, 18284, 1864, 267, 2021, 11067, 519, 8286, 998, 519, 9486, 540, 519, 8075, 267, 519, 22651, 18284, 1864, 4730, 609, 741, 25192, 538, 519, 16095, 543, 1256, 519, 4622, 5128, 267, 538, 1010, 10424, 18959, 7480, 267, 32560, 1010, 4064, 538, 1931, 547, 581, 2111, 547, 1224, 1510, 1010, 15210, 7508, 14296, 256, 1809, 267, 607, 513, 10751, 585, 1010, 6411, 267, 1010, 11537, 6801, 7283, 519, 1152, 3283, 6456, 547, 1010, 4064, 267, 543, 1010, 2295, 4904, 3294, 609, 16236, 269, 18391, 1169, 1554, 998, 519, 9589, 2542, 14296, 267, 646, 849, 8068, 2282, 519, 10424, 19289, 513, 3484, 593, 513, 5835, 2361, 267, 1141, 1614, 4057, 19946, 941, 2713, 513, 10792, 1272, 609, 741, 4651, 269, 634, 3046, 8663, 748, 812, 729, 25588, 873, 1169, 3781, 609, 1010, 29647, 267, 6704, 2476, 782, 540, 741, 2724, 609, 1416, 16531, 269, 2755, 519, 4587, 3283, 941, 3843, 547, 8897, 1864, 609, 22090, 27128, 9739, 543, 2571, 1913, 267, 519, 21836, 729, 519, 1152, 835, 547, 13720, 1864, 543, 887, 541, 899, 513, 17794, 612, 267, 609, 535, 1722, 543, 32297, 267, 5706, 532, 1996, 519, 5208, 269, 634, 555, 3971, 729, 28617, 267, 9301, 1010, 1378, 2191, 538, 519, 1762, 4807, 267, 7247, 646, 729, 8384, 782, 1554, 8023, 519, 979, 4680, 538, 4395, 540, 519, 2370, 3484, 269, 1809, 835, 10543, 267, 1310, 1776, 28877, 540, 741, 4651, 267, 1352, 8593, 593, 1200, 19704, 267, 2407, 540, 16095, 543, 17570, 267, 1063, 1200, 5017, 543, 3459, 24986, 15280, 569, 269, 634, 555, 3971, 4862, 1200, 649, 9429, 543, 267, 2407, 540, 23502, 543, 25621, 267, 3576, 835, 540, 1010, 10475, 21687, 19987, 689, 1010, 22836, 267, 2219, 585, 513, 3787, 267, 1287, 28520, 621, 689, 519, 575, 1342, 344, 15627, 1318, 883, 519, 22272, 540, 519, 26525, 1762, 11078, 269, 1879, 1352, 8118, 1200, 4064, 543, 4718, 519, 26124, 13049, 267, 519, 1762, 4807, 267, 14281, 267, 4371, 519, 6149, 9395, 547, 1200, 9221, 267, 5795, 621, 513, 21098, 543, 9684, 539, 519, 6607, 269, 2701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 5701, 4586, 15542, 2433, 10076, 4713, 616, 607, 2653, 547, 13209, 607, 10447, 267, 3987, 543, 2860, 609, 513, 2039, 540, 2500, 5574, 585, 1034, 2175, 563, 1765, 31048, 517, 4937, 781, 7797, 593, 10076, 2657, 454, 300, 2814, 281, 1284, 2811, 1434, 1004, 269, 10076, 4576, 3085, 1405, 4755, 547, 1250, 1920, 4586, 15542, 281, 2290, 538, 2185, 3885, 568, 4299, 676, 513, 2790, 1072, 1966, 563, 1765, 2817, 19137, 585, 519, 22895, 958, 7629, 454, 300, 2814, 281, 14856, 4713, 1152, 1860, 28245, 543, 3631, 563, 15542, 281, 3962, 1032, 4189, 4713, 543, 28675, 4189, 1860, 476, 2190, 2929, 4892, 269, 14856, 4713, 3409, 811, 2729, 1142, 1032, 982, 1022, 824, 2790, 4524, 563, 1765, 2817, 4659, 540, 10076, 2657, 454, 3951, 24202, 808, 19851, 5990, 19154, 308, 2464, 454, 300, 2814, 281, 5753, 616, 1932, 1762, 547, 1205, 20158, 267, 621, 1590, 581, 1945, 3116, 563, 15542, 281, 2859, 982, 1079, 2929, 1453, 7985, 689, 4965, 538, 519, 2136, 2276, 543, 811, 982, 3368, 540, 873, 979, 15860, 563, 1765, 2475, 4741, 585, 10076, 2657, 7896, 454, 300, 2814, 281, 898, 781, 711, 4965, 267, 596, 2811, 1175, 2469, 998, 513, 5123, 563, 15542, 281, 715, 31106, 2929, 4079, 538, 519, 2136, 2276, 7985, 689, 930, 1106, 540, 4965, 1169, 1032, 563, 1765, 2817, 4659, 540, 10076, 2657, 454, 300, 2814, 281, 18947, 4961, 1810, 1405, 1205, 20158, 267, 621, 781, 1175, 606, 4397, 851, 540, 10172, 563, 15542, 281, 12866, 2929, 4587, 4892, 7985, 689, 4791, 4965, 543, 2272, 585, 476, 736, 260, 540, 782, 647, 15969, 563, 1765, 31048, 517, 4937, 781, 7797, 593, 10076, 2657, 454, 15578, 312, 262, 3918, 808, 19851, 654, 12788, 298, 454, 300, 2814, 281, 589, 15602, 1268, 609, 513, 2790, 4576, 814, 2370, 4960, 540, 6051, 563, 15542, 281, 13067, 6804, 1145, 666, 581, 3648, 8519, 950, 1004, 616, 4448, 547, 2013, 2359, 267, 6462, 8027, 543, 1644, 2533, 563, 1765, 2475, 4972, 540, 24184, 543, 12124, 4886, 454, 300, 2814, 281, 4658, 945, 6057, 5061, 5749, 1405, 7210, 789, 616, 1175, 4617, 563, 15542, 281, 3683, 476, 5780, 260, 540, 1762, 1004, 609, 513, 6219, 946, 4524, 723, 513, 1071, 31507, 2590, 2790, 1072, 1966, 799, 635, 27289, 2126, 563, 1765, 31048, 517, 4937, 781, 7797, 593, 10076, 2657, 454, 300, 2814, 281, 24410, 16940, 6107, 1175, 991, 811, 9015, 563, 15542, 281, 20290, 476, 736, 260, 540, 31655, 538, 11174, 5126, 6703, 723, 513, 3978, 3929, 19717, 543, 1034, 723, 513, 3208, 657, 762, 2790, 4524, 563, 1765, 2475, 4972, 540, 10456, 454, 25446, 808, 19851, 27114, 31415, 589, 13697, 16704, 8668, 454, 300, 2814, 281, 15928, 3085, 1405, 991, 547, 3382, 2790, 1072, 267, 621, 781, 711, 513, 2462, 1966, 563, 15542, 281, 17823, 1399, 21144, 2929, 4892, 616, 4299, 676, 2790, 4576, 1142, 1032, 267, 7488, 540, 14940, 267, 3023, 610, 14227, 1362, 563, 1765, 31048, 517, 4937, 781, 7797, 593, 10076, 2657, 454, 300, 2814, 281, 24930, 616, 1932, 11112, 8156, 2168, 2042, 547, 4308, 609, 2790, 1072, 563, 15542, 281, 5455, 547, 835, 28451, 540, 782, 11564, 547, 3119, 1416, 13500, 616, 1813, 547, 2175, 602, 616, 3361, 610, 28978, 676, 2790, 4576, 563, 1765, 20985, 7731, 16195, 29663, 454, 300, 2814, 281, 10076, 4576, 568, 513, 2123, 1966, 711, 513, 1870, 6161, 563, 15542, 281, 12870, 568, 519, 3056, 2014, 540, 9659, 538, 519, 2136, 2276, 936, 1394, 2042, 267, 2295, 2068, 543, 6797, 5821, 563, 1765, 2622, 2657, 9257, 454, 26045, 2657, 12700, 585, 20661, 454, 268, 476, 6872, 269, 278, 2929, 4079, 7985, 689, 513, 3208, 657, 762, 2790, 4524, 1142, 1032, 267, 476, 277, 260, 540, 4079, 7985, 689, 4049, 2790, 4713, 563, 268, 11683, 19591, 4524, 630, 24119, 1833, 264, 5540, 476, 1691, 269, 279, 2929, 4079, 543, 568, 519, 3056, 2014, 540, 9659, 585, 1004, 6502, 476, 1428, 268, 4510, 563, 268, 645, 13633, 4524, 5540, 476, 276, 269, 278, 2929, 4079, 1142, 1032, 563, 268, 769, 476, 1220, 273, 936, 476, 4029, 267, 1822, 1004, 5747, 676, 11980, 563, 268, 476, 273, 269, 275, 2929, 4079, 7985, 689, 18624, 563, 268, 17520, 4713, 616, 519, 1034, 1455, 2790, 4713, 269, 27051, 476, 2412, 2929, 4079, 7985, 689, 4160, 4713, 1519, 267, 11784, 4524, 267, 30442, 16327, 14601, 4524, 267, 2022, 32034, 2566, 4524, 267, 20902, 4160, 4524, 267, 543, 943, 984, 5362, 630, 25791, 943, 14113, 267, 989, 528, 7469, 14113, 267, 543, 1808, 943, 14113, 1916, 268, 27051, 476, 1724, 260, 540, 4079, 7985, 689, 835, 540, 1614, 2010, 540, 4189, 4713, 267, 799, 1331, 30604, 6179, 6242, 267, 4439, 574, 807, 6179, 6242, 543, 28675, 3887, 908, 4524, 563, 268, 634, 9019, 2557, 1851, 1004, 609, 30604, 568, 6059, 547, 581, 476, 276, 269, 277, 2600, 829, 8717, 267, 799, 568, 827, 476, 1321, 2053, 2362, 982, 519, 2669, 2557, 1813, 547, 782, 3123, 540, 2669, 1851, 8951, 6502, 476, 1428, 268, 2190, 538, 519, 2489, 2551, 563, 268, 476, 275, 269, 272, 260, 540, 4079, 1995, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 1142, 1032, 563, 5472, 7194, 3177, 676, 519, 2817, 4659, 540, 10076, 2657, 454, 1432, 568, 12870, 888, 12831, 1833, 568, 513, 2564, 29520, 1299, 711, 1175, 513, 4743, 540, 27945, 1145, 269, 898, 781, 811, 1287, 1175, 4743, 8909, 563, 1692, 1455, 568, 12870, 888, 8005, 568, 693, 1981, 547, 1205, 12870, 888, 1432, 616, 519, 3123, 540, 12870, 888, 2862, 269, 18726, 281, 1280, 1169, 2009, 2168, 543, 2790, 4183, 972, 568, 513, 5444, 538, 938, 2281, 269, 1924, 568, 513, 5444, 585, 12870, 269, 634, 3237, 540, 513, 20158, 1268, 616, 693, 513, 2362, 1981, 585, 4965, 269, 1403, 513, 24107, 814, 19591, 4576, 1287, 972, 568, 513, 476, 1428, 260, 4960, 267, 602, 621, 786, 581, 972, 538, 1776, 24107, 1547, 2252, 519, 12614, 540, 4965, 568, 1310, 519, 2085, 540, 476, 2412, 29757, 269, 1287, 4960, 540, 621, 1373, 16220, 10299, 568, 1447, 563, 7656, 269, 26268, 4689, 19261, 281, 9282, 519, 3169, 6127, 616, 711, 6956, 855, 19261, 540, 4775, 3023, 10399, 666, 1291, 547, 4965, 269, 3493, 11306, 538, 519, 2022, 5443, 641, 30167, 543, 2022, 851, 636, 630, 12898, 6765, 264, 1974, 616, 519, 1806, 563, 296, 269, 22226, 270, 5900, 6421, 281, 11374, 2010, 540, 7209, 7592, 19753, 2821, 547, 19591, 4576, 563, 25324, 976, 2348, 1657, 7592, 270, 3430, 6421, 616, 811, 2693, 547, 1995, 19591, 14501, 538, 741, 2729, 607, 3379, 547, 1004, 945, 1810, 1405, 723, 971, 1826, 540, 7209, 563, 2862, 269, 10515, 532, 2994, 609, 1272, 2621, 281, 1215, 649, 4308, 609, 17173, 2621, 899, 9668, 7933, 643, 13396, 270, 1372, 987, 267, 3092, 269, 11887, 875, 19753, 12723, 649, 616, 547, 4965, 269, 4658, 945, 616, 454, 6701, 811, 2693, 547, 723, 4965, 563, 12892, 3123, 543, 1514, 7028, 912, 288, 2603, 540, 17173, 1272, 2621, 899, 2669, 7933, 643, 13396, 7933, 1047, 848, 19753, 2821, 547, 4965, 563, 11328, 26051, 3347, 2339, 513, 2603, 910, 1434, 1894, 609, 519, 2828, 1315, 23947, 1315, 16254, 723, 513, 2318, 1198, 538, 7303, 4965, 563, 306, 17532, 1004, 616, 811, 12155, 547, 4965, 982, 15185, 563, 20118, 267, 2090, 723, 1336, 32682, 1027, 7606, 547, 581, 811, 12155, 547, 4965, 563, 1432, 616, 519, 2934, 540, 4965, 888, 25324, 14571, 540, 971, 4606, 540, 29723, 1173, 344, 1315, 1970, 1648, 1315, 1970, 7099, 5103, 782, 713, 6920, 602, 519, 1268, 949, 581, 7092, 689, 4791, 4965, 269, 11374, 616, 519, 2934, 602, 513, 20158, 1367, 2833, 563, 289, 8344, 2934, 630, 323, 4851, 910, 476, 1428, 1554, 610, 811, 994, 32271, 7495, 21832, 306, 4959, 267, 8668, 4959, 661, 3008, 6579, 312, 667, 8656, 294, 301, 5308, 21764, 1299, 661, 3008, 6579, 312, 570, 3918, 2969, 21764, 563, 1432, 616, 519, 5574, 2139, 585, 4965, 888, 2467, 616, 1978, 1271, 1919, 547, 581, 6854, 538, 2247, 3823, 4550, 1244, 816, 656, 946, 912, 8722, 2137, 540, 17520, 454, 10144, 945, 7985, 689, 4160, 4043, 547, 1995, 2168, 2589, 971, 607, 27621, 14591, 267, 12152, 832, 267, 24852, 267, 16063, 9636, 267, 11591, 21539, 320, 267, 4887, 8082, 267, 26032, 540, 7362, 267, 1025, 5241, 543, 10539, 269, 634, 1101, 1900, 538, 23235, 606, 4160, 4524, 568, 547, 4341, 856, 513, 2168, 2014, 281, 10447, 267, 3987, 267, 23069, 4524, 267, 6418, 1274, 2042, 543, 30847, 666, 782, 3132, 2589, 2404, 609, 4160, 563, 16498, 2175, 666, 1711, 610, 22652, 4160, 607, 1134, 269, 4746, 267, 1346, 945, 7985, 689, 19469, 2566, 949, 1711, 513, 12214, 2783, 630, 7945, 607, 20026, 610, 791, 582, 775, 264, 602, 538, 2490, 2306, 519, 2566, 8338, 910, 27510, 513, 16160, 4783, 269, 3683, 942, 267, 2566, 666, 6318, 1973, 2604, 267, 4186, 25572, 547, 21385, 267, 610, 10556, 5778, 754, 18355, 9431, 1949, 538, 519, 2634, 910, 519, 1360, 835, 799, 1852, 7099, 543, 4160, 4713, 563, 21413, 2038, 6304, 267, 930, 4160, 2665, 666, 1831, 5312, 269, 1809, 1082, 1004, 910, 2523, 2367, 910, 1745, 602, 5275, 948, 568, 513, 1129, 540, 8467, 269, 901, 568, 3020, 585, 5176, 782, 4160, 610, 2790, 1072, 2042, 563, 1015, 2081, 547, 11883, 454, 268, 1520, 2466, 707, 991, 267, 543, 1287, 3343, 3318, 948, 563, 268, 5620, 513, 10629, 2638, 585, 513, 2168, 2014, 540, 4160, 2589, 563, 268, 4698, 1047, 4887, 11005, 543, 14159, 7244, 5781, 563, 268, 18918, 538, 2834, 2168, 3635, 563, 268, 16202, 4333, 13124, 269, 26332, 3729, 14933, 269, 17547, 7296, 563, 268, 4698, 1047, 9066, 543, 3860, 14839, 563, 268, 6258, 2318, 1582, 2389, 1779, 543, 23304, 731, 2942, 6835, 563, 268, 10576, 543, 2769, 707, 12194, 563, 268, 14419, 1018, 9066, 543, 1315, 610, 4244, 11257, 616, 1318, 585, 596, 563, 268, 10812, 519, 4514, 2427, 540, 707, 4160, 282, 2285, 2495, 547, 707, 7092, 563, 2710, 4701, 2857, 539, 4189, 7899, 540, 1950, 11950, 454, 309, 1122, 564, 4115, 2732, 282, 621, 814, 1044, 3254, 602, 1004, 609, 20757, 2732, 4043, 547, 581, 1608, 1067, 982, 5779, 3548, 619, 563, 24791, 9360, 849, 4043, 547, 948, 563, 22879, 532, 4006, 543, 14933, 454, 19865, 22137, 1397, 602, 1004, 609, 20757, 2732, 4043, 547, 581, 1608, 1067, 982, 5779, 3548, 619, 269, 29133, 543, 10683, 2472, 4734, 3679, 22016, 538, 519, 1560, 267, 799, 666, 3500, 1524, 519, 9667, 8778, 269, 634, 1267, 568, 519, 896, 268, 25388, 1632, 540, 8324, 543, 6886, 267, 799, 8591, 547, 519, 1560, 781, 2566, 4452, 269, 4284, 5974, 1419, 946, 6171, 9360, 547, 1521, 4160, 281, 476, 1911, 31501, 540, 513, 2347, 645, 10687, 14658, 6171, 3232, 543, 476, 1911, 271, 31501, 540, 942, 3146, 548, 1078, 6171, 595, 7466, 513, 1554, 563, 19865, 568, 4105, 267, 2348, 513, 1463, 1764, 593, 519, 17550, 602, 7028, 4160, 269, 570, 3290, 666, 581, 17212, 1386, 676, 2575, 23736, 267, 799, 1450, 585, 811, 4028, 10307, 540, 4430, 19076, 13824, 269, 11644, 849, 22262, 519, 2504, 540, 1439, 6973, 1231, 267, 519, 2067, 1560, 6464, 602, 27513, 513, 2631, 540, 1134, 5630, 543, 11005, 563, 5194, 2247, 23073, 4276, 4523, 950, 1004, 5409, 1203, 30968, 267, 799, 1312, 6971, 543, 30175, 3278, 3327, 545, 3679, 538, 519, 1973, 267, 22740, 1944, 519, 8401, 1062, 543, 4463, 2287, 4160, 269, 4144, 24530, 15122, 7244, 568, 513, 1883, 547, 22196, 519, 1560, 543, 13326, 519, 4664, 269, 4804, 7244, 2553, 2636, 519, 1268, 547, 9305, 547, 4160, 538, 513, 1007, 1259, 563, 32575, 1808, 32370, 666, 948, 12172, 1312, 519, 960, 602, 781, 2877, 543, 875, 1655, 547, 11883, 267, 1498, 930, 2553, 3100, 2500, 2066, 7308, 1532, 13635, 269, 5369, 5505, 2857, 539, 513, 2834, 1106, 540, 9066, 267, 14139, 3860, 14839, 543, 2318, 14751, 725, 267, 538, 799, 519, 4160, 3411, 19907, 666, 1265, 4708, 998, 2592, 540, 4313, 269, 901, 6238, 519, 1184, 540, 16565, 513, 2631, 540, 1852, 269, 3414, 9066, 267, 513, 1268, 666, 2253, 7487, 5128, 811, 9797, 563, 12901, 328, 12845, 3806, 5061, 1683, 8323, 267, 1256, 952, 17303, 267, 1247, 12498, 3625, 619, 630, 15258, 13519, 543, 4550, 268, 30104, 11364, 6527, 264, 24644, 519, 4339, 11399, 1922, 2775, 3210, 269, 4014, 930, 1004, 1867, 2427, 2360, 547, 891, 5061, 267, 7415, 18454, 723, 1044, 6592, 563, 11693, 519, 1761, 585, 8213, 267, 24040, 3797, 568, 606, 1271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 13584, 5261, 540, 21060, 267, 849, 12183, 24887, 5261, 519, 8125, 550, 267, 519, 13814, 3323, 513, 18326, 1996, 5053, 4341, 538, 519, 476, 14444, 271, 338, 269, 2991, 1296, 540, 6560, 267, 789, 6368, 10294, 741, 7115, 538, 476, 15647, 272, 267, 8108, 519, 10656, 6243, 1107, 513, 4182, 1141, 4961, 1185, 811, 2161, 538, 875, 789, 941, 18170, 269, 1215, 3579, 568, 602, 2496, 1262, 3682, 338, 704, 640, 1133, 548, 14414, 281, 11780, 1299, 3203, 4425, 558, 4373, 5629, 1863, 689, 5053, 1852, 267, 519, 10656, 6243, 25577, 899, 2760, 1354, 269, 4706, 4087, 1500, 621, 3501, 585, 4123, 1063, 7187, 543, 7013, 2342, 267, 543, 1256, 2066, 12084, 547, 30152, 3338, 971, 607, 5607, 543, 3013, 269, 17652, 267, 10656, 22278, 2968, 930, 540, 519, 5763, 5006, 2043, 538, 2342, 2439, 4415, 16012, 13884, 3357, 3255, 585, 5159, 1932, 269, 10266, 1562, 899, 3816, 25912, 339, 543, 21502, 17621, 2813, 10875, 1568, 18995, 4948, 1272, 267, 3140, 2621, 267, 543, 23609, 540, 1271, 5515, 269, 1452, 25704, 1869, 25407, 1148, 18798, 2221, 2439, 1262, 16631, 1299, 11310, 21992, 906, 4373, 3719, 7227, 267, 972, 781, 811, 256, 3502, 1152, 1705, 519, 10656, 14133, 538, 4123, 543, 1148, 267, 855, 789, 849, 8329, 3648, 547, 2257, 543, 1565, 269, 9894, 596, 917, 602, 16653, 773, 8709, 10557, 17703, 523, 14833, 2131, 267, 513, 10656, 10196, 267, 729, 519, 1101, 1268, 547, 7747, 4551, 1210, 513, 17209, 646, 11827, 286, 3571, 8906, 8118, 909, 606, 7357, 1007, 1158, 540, 1620, 827, 6263, 7103, 15865, 547, 519, 21736, 3750, 269, 26812, 3215, 267, 1318, 2496, 1262, 29936, 13966, 519, 10158, 4373, 4913, 267, 1175, 899, 1022, 824, 10340, 267, 519, 10656, 6243, 5185, 2591, 1282, 519, 13642, 6520, 269, 4762, 26555, 1369, 519, 14081, 543, 10617, 609, 15231, 2477, 7318, 741, 8207, 269, 8616, 267, 5103, 891, 23434, 267, 519, 10656, 829, 572, 30099, 543, 4797, 547, 8853, 780, 3086, 602, 596, 723, 4121, 827, 519, 10656, 13642, 6520, 267, 1589, 827, 875, 1114, 4529, 666, 3337, 7239, 543, 3565, 547, 1480, 3356, 269, 5457, 267, 1169, 4182, 814, 922, 1378, 2189, 1650, 4904, 609, 29217, 267, 9620, 267, 543, 3407, 4245, 269, 1924, 1832, 3695, 543, 2972, 707, 6909, 3460, 998, 1686, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 13814, 849, 1634, 267, 27235, 267, 607, 26652, 267, 568, 513, 1507, 2197, 538, 5087, 7178, 2342, 269, 898, 8843, 10665, 609, 5125, 543, 19934, 269, 634, 3854, 2749, 568, 24545, 630, 8117, 519, 6554, 568, 1759, 538, 634, 670, 6558, 1040, 4033, 2462, 4872, 616, 519, 670, 6558, 267, 15585, 614, 17043, 267, 7780, 516, 19816, 543, 661, 785, 327, 8576, 269, 634, 13814, 568, 851, 540, 519, 3864, 5742, 543, 3096, 519, 16402, 607, 922, 9304, 563, 14532, 540, 519, 13814, 12575, 454, 291, 8553, 1686, 4422, 1394, 1082, 1296, 269, 4438, 519, 5736, 540, 519, 4936, 7276, 519, 15506, 822, 2103, 20948, 519, 3148, 563, 17457, 1686, 538, 519, 13814, 5956, 538, 519, 476, 14444, 271, 338, 269, 898, 729, 1282, 713, 942, 602, 519, 13814, 15148, 1540, 1996, 5053, 4341, 269, 27439, 676, 5261, 540, 21060, 267, 849, 1572, 5261, 519, 8125, 550, 267, 789, 10294, 741, 7115, 538, 476, 15647, 272, 269, 634, 13814, 729, 513, 14081, 267, 1634, 607, 519, 2136, 28393, 806, 610, 519, 10656, 6243, 269, 5261, 729, 18272, 3990, 538, 476, 15647, 275, 269, 769, 476, 8182, 280, 519, 13814, 729, 693, 4708, 609, 8050, 267, 855, 621, 729, 1152, 585, 12964, 1296, 269, 769, 476, 14341, 272, 2112, 13264, 856, 1586, 267, 855, 519, 5053, 1223, 711, 20630, 519, 3026, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 8553, 13642, 6520, 630, 15647, 271, 338, 268, 10204, 271, 338, 17983, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 5484, 601, 5060, 18831, 630, 14582, 17753, 267, 13814, 267, 24006, 10603, 32490, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 1007, 3296, 827, 10067, 329, 784, 267, 513, 5929, 22739, 2861, 3014, 602, 781, 1187, 543, 3872, 256, 1284, 786, 1451, 875, 547, 5431, 1114, 30652, 329, 784, 17981, 543, 2259, 12805, 873, 269, 901, 2534, 786, 948, 2087, 3965, 1983, 543, 3007, 547, 1469, 1247, 11981, 713, 4241, 3014, 780, 300, 1695, 329, 784, 3322, 12805, 8424, 540, 9838, 17981, 547, 4894, 873, 689, 513, 7470, 2394, 1100, 811, 13292, 2611, 269, 16319, 2241, 286, 5213, 1405, 5855, 282, 649, 3513, 3391, 596, 998, 621, 1900, 676, 1900, 269, 2913, 781, 2253, 609, 1620, 519, 9238, 1384, 1262, 300, 1695, 329, 784, 570, 3796, 26279, 1103, 30652, 329, 784, 267, 972, 616, 1614, 1292, 2010, 540, 17981, 1107, 3244, 1255, 267, 12968, 832, 267, 543, 12844, 4926, 269, 3962, 1826, 5161, 540, 1585, 6272, 267, 3270, 267, 543, 3197, 269, 4653, 267, 1577, 781, 1445, 593, 9301, 3244, 1255, 269, 1452, 616, 22921, 17981, 5258, 883, 2185, 17015, 910, 19449, 3380, 267, 645, 14781, 657, 267, 654, 534, 630, 13142, 3030, 1070, 543, 28463, 976, 780, 265, 2878, 290, 22511, 2672, 527, 4995, 1230, 13935, 5180, 15956, 8151, 689, 476, 272, 547, 476, 280, 10580, 829, 22739, 269, 5994, 10203, 6801, 610, 27371, 563, 265, 2878, 289, 16656, 2672, 527, 4995, 22291, 19348, 16853, 6825, 1063, 476, 272, 543, 476, 280, 269, 6056, 540, 512, 958, 7436, 1031, 585, 5329, 8464, 563, 265, 2878, 310, 534, 630, 23322, 264, 2672, 527, 4995, 17972, 4457, 27766, 7222, 547, 2338, 476, 272, 547, 476, 280, 269, 16514, 1565, 4457, 6698, 563, 265, 2878, 291, 16400, 2672, 924, 4995, 1290, 1440, 2478, 1614, 22645, 8204, 6489, 338, 543, 1530, 3517, 269, 1358, 2874, 540, 4414, 22900, 630, 528, 1924, 777, 1070, 5682, 22900, 630, 528, 9253, 517, 1070, 543, 6519, 22900, 630, 528, 27003, 6393, 3086, 602, 596, 917, 1018, 1142, 9290, 4564, 1577, 779, 1847, 4464, 547, 6474, 14708, 2439, 1262, 307, 850, 631, 10248, 26279, 5978, 3804, 568, 547, 1265, 1079, 9838, 17981, 1985, 547, 835, 1776, 23276, 610, 19794, 269, 1717, 267, 789, 3112, 581, 29572, 539, 676, 824, 17981, 593, 1283, 267, 5377, 267, 2451, 267, 610, 1318, 5011, 269, 1403, 1336, 267, 2824, 1312, 20083, 17981, 8195, 1210, 5905, 8060, 630, 514, 3059, 8747, 899, 5985, 8924, 264, 610, 14467, 873, 630, 514, 2228, 11422, 3756, 1040, 4495, 5697, 267, 891, 17981, 14897, 267, 13031, 2539, 6106, 780, 2414, 2327, 1967, 267, 3314, 519, 1739, 4388, 1384, 272, 269, 10312, 593, 6534, 17981, 1101, 1354, 20857, 4514, 883, 588, 2931, 563, 273, 269, 4643, 6619, 676, 3168, 693, 2009, 2104, 6292, 902, 1310, 9427, 1699, 3283, 563, 274, 269, 5901, 3950, 540, 2139, 17981, 1369, 1142, 9290, 7121, 563, 275, 269, 2422, 23456, 838, 2130, 569, 2094, 13461, 1932, 1454, 949, 17225, 707, 3356, 780, 4131, 781, 2119, 513, 9910, 3766, 877, 1631, 256, 594, 4312, 5423, 513, 4130, 476, 3953, 2389, 850, 30652, 329, 784, 14764, 2630, 269, 2052, 596, 12398, 1022, 8424, 1759, 593, 938, 4901, 2496, 263, 11900, 1068, 3308, 6041, 1934, 2020, 12648, 707, 942, 543, 2972, 12423, 6456, 8424, 1851, 891, 10477, 17981, 269, 1879, 12758, 267, 3277, 1394, 547, 938, 4808, 269, 8414, 12805, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9617, 950, 596, 2219, 10067, 329, 784, 1185, 1044, 4988, 593, 21236, 270, 328, 303, 611, 267, 2059, 2501, 513, 31042, 3752, 7534, 790, 10067, 329, 784, 3014, 4712, 547, 1491, 8998, 3942, 269, 634, 3014, 5654, 6909, 593, 606, 27317, 267, 855, 1869, 21314, 547, 1413, 543, 1404, 1390, 593, 606, 21236, 610, 19503, 617, 25291, 563, 763, 3014, 3096, 513, 2189, 4351, 4604, 11718, 267, 865, 1169, 942, 596, 1376, 707, 3014, 267, 513, 4195, 4161, 19179, 1080, 269, 634, 2157, 666, 581, 607, 1507, 607, 476, 3953, 17981, 267, 610, 607, 1804, 607, 476, 13923, 256, 1411, 666, 1404, 513, 5311, 540, 9750, 12545, 630, 5976, 24143, 267, 20946, 543, 22032, 1070, 610, 946, 519, 4351, 11718, 547, 1628, 513, 2688, 1377, 547, 3514, 707, 2115, 563, 2791, 723, 2407, 1852, 936, 519, 1413, 543, 1745, 267, 519, 8254, 25672, 4040, 270, 9928, 13764, 267, 519, 2450, 543, 6988, 540, 519, 2157, 267, 543, 519, 10274, 10774, 6493, 4882, 340, 2248, 687, 1282, 1404, 563, 763, 1507, 476, 3953, 22739, 1377, 543, 513, 3070, 3802, 10843, 585, 1169, 4604, 568, 3501, 585, 3450, 519, 2596, 3652, 543, 7954, 547, 4896, 945, 814, 711, 5129, 519, 3752, 7534, 790, 610, 29258, 14583, 540, 10067, 329, 784, 1354, 563, 268, 23433, 2157, 1142, 942, 596, 1404, 2336, 268, 476, 2004, 1095, 564, 29282, 952, 596, 1616, 547, 1404, 2785, 328, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 10067, 329, 784, 1315, 570, 850, 23779, 543, 631, 10248, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 634, 19606, 540, 11193, 5274, 1143, 692, 763, 5452, 540, 11193, 1480, 1143, 941, 521, 1144, 538, 519, 15417, 3037, 540, 2185, 18818, 10601, 7977, 267, 607, 13994, 4327, 676, 519, 5075, 776, 10564, 25845, 1723, 8891, 337, 2117, 320, 267, 849, 1634, 607, 8891, 337, 1105, 269, 901, 3184, 12538, 883, 519, 6090, 529, 540, 713, 12316, 3350, 602, 2699, 18249, 519, 7214, 5251, 540, 2342, 267, 22338, 519, 1259, 585, 519, 4417, 540, 519, 11193, 269, 1284, 786, 2263, 875, 8891, 337, 1105, 781, 5587, 542, 1289, 585, 513, 2132, 547, 8106, 1565, 27647, 1242, 5640, 267, 5159, 267, 543, 15806, 7567, 267, 1266, 754, 1359, 513, 16012, 7071, 585, 519, 2686, 10781, 540, 25196, 780, 4263, 922, 4295, 267, 11193, 1480, 1143, 6719, 513, 9097, 6521, 2476, 689, 519, 17888, 4416, 2880, 17565, 267, 799, 1185, 13856, 10120, 2342, 585, 5553, 269, 7647, 10415, 5116, 1390, 8561, 593, 519, 1353, 540, 4984, 543, 6138, 267, 1419, 998, 519, 7828, 540, 14163, 582, 27318, 7954, 543, 4168, 18381, 269, 769, 4334, 267, 1480, 1235, 23647, 585, 513, 6626, 6437, 602, 3769, 519, 10459, 540, 8239, 267, 20116, 267, 6965, 267, 1686, 267, 543, 5837, 6138, 1765, 3712, 937, 1947, 1634, 607, 519, 801, 807, 1480, 527, 15384, 269, 1635, 10128, 891, 4610, 540, 1702, 267, 1480, 1235, 8179, 547, 6536, 1134, 25454, 2043, 945, 1223, 3565, 25006, 547, 18523, 1272, 543, 7119, 8362, 538, 519, 5137, 540, 513, 7524, 2528, 780, 30821, 337, 1105, 781, 23318, 540, 606, 31587, 25174, 729, 1100, 6071, 8184, 540, 19621, 16681, 282, 621, 10630, 513, 7184, 4371, 24235, 602, 8103, 11542, 593, 519, 524, 22273, 540, 513, 1007, 5736, 267, 6353, 676, 513, 17105, 6278, 609, 519, 9371, 540, 13983, 1723, 7304, 2674, 25196, 269, 901, 3661, 1336, 4082, 538, 1010, 2019, 6058, 748, 19359, 267, 13296, 646, 970, 565, 1194, 519, 21644, 540, 8106, 4589, 971, 607, 595, 545, 3266, 267, 5164, 326, 559, 267, 543, 7354, 29132, 269, 1280, 8891, 337, 1105, 267, 891, 24788, 2456, 22993, 519, 16431, 540, 1714, 13228, 775, 267, 7326, 267, 543, 5683, 2932, 602, 1058, 1217, 519, 2069, 540, 14971, 1480, 1235, 780, 6637, 476, 273, 281, 634, 10046, 1359, 540, 11193, 5274, 1143, 692, 288, 2540, 1310, 8891, 337, 1105, 781, 24969, 618, 267, 519, 19679, 326, 1782, 1480, 626, 3350, 3459, 547, 1491, 3597, 2066, 7977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2175, 621, 547, 7558, 1426, 563, 1607, 5144, 814, 9927, 519, 2126, 540, 4049, 8650, 22926, 910, 513, 2101, 2014, 540, 2669, 538, 1453, 896, 519, 2085, 540, 2947, 267, 11451, 563, 307, 4176, 1684, 320, 685, 320, 729, 7092, 689, 4049, 8650, 22926, 950, 1352, 8452, 693, 513, 6167, 32019, 30845, 6484, 4099, 538, 29874, 609, 1200, 3993, 267, 2098, 1695, 571, 563, 313, 1695, 571, 267, 476, 3953, 267, 729, 849, 538, 513, 2565, 2783, 910, 16094, 4731, 333, 712, 1639, 543, 4061, 8572, 547, 6089, 12890, 563, 763, 8998, 711, 1152, 2488, 2564, 2533, 585, 4731, 333, 712, 1639, 1453, 543, 741, 11299, 267, 855, 621, 849, 2488, 1344, 827, 6484, 543, 875, 547, 5965, 6980, 547, 2057, 22926, 610, 26739, 563, 10666, 476, 2004, 547, 476, 2568, 2665, 540, 1004, 7092, 689, 4049, 22926, 616, 15861, 547, 519, 4099, 1142, 3923, 563, 257, 2691, 1684, 320, 262, 320, 8452, 693, 519, 4099, 267, 1352, 4607, 2126, 543, 4816, 4542, 2394, 1352, 3459, 547, 2087, 4799, 12552, 547, 519, 2126, 543, 9354, 5144, 267, 1684, 320, 685, 320, 4824, 1310, 1175, 3670, 4374, 269, 1323, 6909, 476, 10844, 829, 1298, 540, 1453, 945, 616, 4731, 333, 712, 1639, 2087, 2899, 789, 4309, 2126, 563, 19285, 729, 8969, 995, 602, 1684, 320, 262, 320, 1131, 2132, 1753, 269, 2657, 4600, 693, 519, 4099, 5795, 1200, 519, 2556, 4915, 543, 4816, 4542, 543, 1631, 1352, 568, 782, 1318, 4799, 763, 3510, 585, 1684, 320, 262, 320, 543, 1200, 1920, 568, 711, 16613, 538, 29874, 269, 18366, 814, 3361, 519, 2197, 779, 1072, 1062, 547, 1835, 18443, 267, 6028, 1453, 7925, 547, 1426, 22584, 543, 2068, 563, 21413, 519, 2565, 1489, 540, 9354, 5144, 267, 519, 22266, 4641, 568, 602, 811, 2729, 1131, 723, 8694, 1354, 789, 2731, 3459, 6185, 517, 622, 454, 26835, 909, 3562, 15082, 593, 6167, 32019, 781, 960, 538, 5245, 543, 1472, 519, 1158, 454, 3066, 8734, 476, 1708, 274, 454, 1692, 513, 4116, 779, 9659, 6273, 513, 1153, 540, 13784, 454, 16966, 547, 2069, 568, 519, 1101, 1900, 547, 513, 17321, 2104, 585, 1453, 2713, 609, 9659, 538, 14466, 7699, 1715, 19892, 563, 1428, 8734, 476, 1708, 274, 454, 21609, 3125, 5321, 4503, 538, 513, 4657, 2916, 454, 7437, 1100, 13337, 540, 741, 1378, 267, 1453, 543, 741, 3885, 616, 1373, 7142, 547, 4734, 519, 23440, 540, 741, 5321, 538, 3406, 540, 1426, 267, 1216, 267, 543, 3354, 563, 275, 4239, 476, 1708, 274, 454, 1692, 6167, 32019, 568, 5885, 1453, 538, 18433, 807, 454, 16729, 519, 15583, 566, 540, 3984, 1988, 543, 519, 2591, 540, 6727, 12761, 267, 1453, 538, 18433, 807, 991, 7525, 1569, 547, 19493, 2533, 563, 2767, 4119, 476, 1708, 274, 454, 25603, 25414, 267, 513, 19033, 689, 11709, 340, 520, 340, 945, 1705, 782, 646, 1223, 950, 1010, 20169, 21054, 941, 538, 6433, 563, 1691, 4119, 476, 1708, 274, 454, 16248, 5499, 2081, 6167, 32019, 568, 2921, 2916, 2962, 454, 16248, 5499, 2081, 596, 616, 4180, 1453, 27836, 513, 22928, 4541, 1141, 789, 666, 3914, 741, 2407, 1761, 454, 277, 4119, 476, 1708, 274, 454, 289, 584, 1495, 328, 281, 519, 2197, 1141, 1762, 1004, 616, 3056, 2916, 2962, 454, 5804, 15177, 588, 7174, 547, 4264, 6683, 267, 1762, 1004, 616, 5935, 20304, 585, 519, 1985, 5108, 454, 275, 4119, 476, 1708, 274, 454, 1103, 6337, 281, 3670, 3275, 540, 31811, 2729, 538, 570, 14660, 7288, 6614, 543, 16850, 454, 2005, 814, 1044, 3670, 3275, 2094, 519, 14686, 16767, 538, 570, 14660, 7288, 6614, 543, 16850, 10969, 730, 1453, 543, 3885, 269, 6423, 741, 3460, 689, 2295, 19874, 547, 4126, 7064, 547, 519, 5571, 1489, 540, 1004, 899, 596, 563, 275, 4119, 476, 1708, 274, 454, 288, 1380, 773, 7376, 8230, 667, 821, 814, 6170, 519, 2250, 476, 3374, 1296, 607, 513, 6167, 32019, 19264, 26513, 454, 298, 523, 667, 821, 568, 519, 2186, 540, 18560, 602, 666, 2322, 513, 12837, 593, 4896, 779, 3068, 269, 1261, 779, 3636, 267, 16168, 543, 513, 1158, 3146, 11471, 7376, 267, 688, 4979, 689, 17638, 779, 3345, 1744, 648, 563, 272, 4119, 476, 1708, 274, 454, 3963, 20418, 544, 4548, 17330, 938, 1489, 454, 17954, 770, 16567, 568, 1863, 267, 621, 3085, 1406, 5806, 3729, 267, 621, 779, 2922, 267, 621, 779, 6462, 543, 20483, 676, 513, 2518, 3656, 5943, 269, 3371, 779, 1946, 2021, 1058, 581, 6462, 547, 6089, 12890, 267, 543, 875, 6167, 32019, 568, 8375, 547, 519, 2518, 4161, 540, 4543, 2021, 9192, 960, 543, 1126, 3146, 2130, 563, 2767, 5147, 476, 1708, 274, 454, 25603, 1614, 12243, 6167, 32019, 4975, 273, 20776, 325, 22530, 1513, 454, 5978, 18793, 616, 561, 5217, 741, 14229, 5474, 543, 18644, 519, 2666, 4881, 585, 4975, 273, 20776, 325, 538, 1489, 540, 1453, 5001, 563, 2537, 5147, 476, 1708, 274, 454, 1692, 4332, 22783, 666, 12260, 2069, 585, 589, 1380, 773, 3214, 454, 8802, 3563, 532, 513, 4332, 568, 811, 1271, 982, 2479, 269, 0, 1103, 17906, 267, 3506, 723, 1044, 1210, 519, 5722, 1448, 21249, 1062, 2094, 476, 1220, 277, 269, 21298, 267, 17906, 814, 4957, 547, 513, 476, 1015, 1448, 21249, 4336, 269, 5502, 540, 519, 2798, 8151, 689, 476, 11152, 268, 1911, 585, 606, 589, 267, 476, 5952, 268, 10844, 585, 513, 645, 267, 476, 4037, 268, 10019, 585, 513, 595, 267, 476, 3583, 268, 10619, 585, 513, 667, 267, 543, 476, 7597, 2630, 585, 513, 674, 267, 519, 21249, 1062, 786, 1631, 581, 5258, 676, 476, 1015, 2798, 1142, 269, 1323, 589, 568, 476, 3445, 268, 1911, 267, 513, 645, 568, 476, 3199, 268, 8660, 267, 513, 595, 568, 476, 3583, 268, 8064, 267, 513, 667, 568, 476, 2568, 268, 7597, 267, 543, 513, 674, 568, 476, 6795, 2630, 563, 9008, 540, 2985, 454, 321, 18847, 540, 2985, 0, 22826, 538, 519, 1655, 21543, 538, 29903, 568, 513, 10912, 602, 4422, 3564, 18836, 532, 1702, 1107, 621, 779, 513, 4960, 547, 3337, 1762, 8186, 267, 6536, 7279, 267, 543, 2482, 519, 5748, 585, 513, 15400, 2648, 540, 1565, 269, 634, 1909, 540, 513, 21543, 1153, 4116, 568, 513, 11100, 540, 19829, 267, 27877, 267, 543, 21927, 267, 543, 621, 2501, 609, 513, 2189, 4316, 547, 3142, 7772, 543, 1118, 513, 9434, 1764, 593, 519, 2729, 540, 1312, 1053, 543, 741, 3885, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 7096, 7772, 540, 3450, 538, 513, 21543, 1153, 543, 875, 7855, 1118, 513, 3017, 563, 290, 738, 22899, 513, 2648, 585, 1565, 912, 301, 2720, 2044, 1153, 3610, 723, 519, 6909, 17979, 540, 10962, 1453, 547, 519, 1158, 540, 2069, 538, 922, 6986, 560, 1106, 269, 1635, 2870, 513, 2318, 543, 2502, 1565, 1604, 267, 3610, 8141, 7279, 543, 15131, 585, 1565, 602, 666, 2063, 513, 10715, 269, 654, 10248, 513, 1126, 779, 4064, 1769, 909, 609, 4898, 607, 789, 2263, 1007, 2035, 543, 2093, 568, 513, 2707, 540, 1799, 29342, 9092, 7772, 585, 7855, 563, 301, 4669, 1005, 1514, 543, 3929, 2208, 912, 1103, 21543, 1153, 267, 1453, 616, 711, 1175, 1565, 5022, 543, 2338, 1107, 789, 616, 3384, 519, 1514, 543, 3929, 1983, 602, 786, 4196, 607, 519, 2679, 7161, 540, 741, 4205, 543, 3347, 269, 11334, 1404, 513, 11358, 1909, 538, 5807, 6568, 267, 2792, 267, 543, 4655, 22822, 1983, 269, 654, 5893, 532, 1453, 1020, 2178, 7554, 609, 741, 9905, 543, 6330, 741, 4664, 568, 513, 14785, 1995, 602, 6770, 10373, 9547, 563, 310, 5893, 532, 19325, 543, 3356, 912, 301, 2720, 2044, 1153, 568, 513, 942, 540, 4028, 2208, 543, 1646, 267, 543, 3610, 723, 513, 4395, 268, 992, 10160, 547, 7198, 519, 19325, 543, 3356, 540, 1142, 1126, 269, 3245, 513, 1126, 779, 1101, 8942, 693, 1603, 741, 2012, 547, 13215, 519, 1148, 540, 1119, 532, 15524, 601, 2167, 267, 7855, 8661, 891, 10781, 609, 9758, 11348, 269, 22628, 519, 15889, 2164, 540, 741, 5583, 543, 1489, 10173, 513, 2631, 540, 22920, 543, 25040, 519, 4644, 540, 741, 1909, 563, 21886, 15758, 5876, 543, 9345, 912, 301, 2720, 2044, 1153, 3610, 1711, 606, 1604, 1141, 5876, 543, 9345, 21707, 269, 3414, 1148, 267, 19511, 1404, 267, 543, 9423, 267, 7855, 7668, 1453, 547, 1589, 3544, 519, 4216, 267, 2263, 741, 2093, 267, 543, 2769, 2933, 11884, 269, 654, 10248, 513, 1126, 2981, 513, 10145, 17198, 883, 513, 20100, 610, 15827, 6946, 6386, 538, 513, 1118, 1532, 601, 10079, 9183, 568, 513, 3586, 2707, 540, 7772, 543, 6667, 269, 0, 763, 3463, 540, 606, 20503, 7683, 3138, 1682, 936, 3047, 267, 855, 621, 779, 1044, 936, 476, 4792, 2929, 25552, 1296, 2094, 513, 2731, 2462, 835, 2965, 5734, 938, 1753, 4541, 630, 6020, 303, 17878, 1040, 1809, 602, 3085, 1406, 1611, 649, 1058, 581, 5360, 8809, 269, 769, 1249, 267, 3173, 616, 8362, 2324, 593, 938, 8878, 538, 519, 12691, 2013, 540, 606, 20503, 3463, 269, 901, 3923, 267, 8331, 786, 3801, 547, 5734, 835, 547, 1732, 1174, 875, 513, 5906, 20503, 1223, 581, 1219, 21124, 563, 763, 2230, 8116, 786, 3801, 547, 3443, 322, 820, 513, 4739, 883, 519, 20503, 17435, 6973, 657, 269, 634, 6928, 568, 29805, 667, 11286, 585, 17677, 589, 3122, 1355, 4414, 3925, 4530, 267, 543, 621, 779, 513, 4745, 1788, 1063, 8331, 543, 519, 8592, 22846, 11930, 8212, 12524, 630, 4338, 299, 1916, 291, 574, 6973, 657, 568, 513, 7599, 2280, 20503, 2443, 606, 24666, 1843, 602, 25057, 513, 5634, 4541, 607, 922, 2067, 9682, 269, 898, 814, 513, 8006, 540, 476, 8182, 7397, 630, 30589, 3952, 264, 543, 25057, 519, 3677, 20503, 267, 9894, 2096, 657, 267, 799, 814, 513, 8006, 540, 476, 278, 3199, 7397, 630, 271, 269, 4366, 5195, 1040, 4595, 789, 1152, 2272, 585, 827, 476, 1428, 260, 540, 782, 19481, 30563, 267, 9352, 30563, 630, 3602, 1079, 2230, 7725, 1847, 538, 512, 30802, 264, 616, 540, 1880, 1719, 547, 3744, 269, 667, 11286, 24850, 1055, 689, 966, 663, 28086, 6611, 10414, 12476, 29691, 513, 6611, 311, 24415, 935, 476, 280, 15177, 2063, 5437, 538, 513, 2475, 259, 20065, 2173, 11669, 1788, 563, 2026, 2938, 689, 3047, 267, 519, 9894, 2096, 657, 1062, 5161, 540, 606, 17772, 2354, 532, 9352, 538, 799, 17435, 6973, 657, 25057, 519, 3677, 20503, 543, 22613, 538, 4395, 540, 543, 1287, 1394, 3297, 621, 269, 9453, 513, 2034, 16785, 547, 5635, 1239, 267, 3744, 1590, 2268, 519, 1764, 1210, 513, 16263, 593, 3047, 547, 3950, 519, 7599, 779, 4657, 21386, 607, 621, 25057, 519, 3047, 563, 1607, 4480, 786, 1450, 3173, 547, 1294, 875, 1454, 519, 1764, 1110, 5809, 17435, 6973, 657, 685, 10739, 676, 9236, 7403, 3144, 1354, 543, 1310, 519, 16580, 269, 1677, 11694, 519, 2298, 540, 12382, 8084, 7422, 267, 519, 1764, 729, 16516, 585, 519, 2887, 540, 476, 1708, 273, 267, 950, 519, 3845, 1063, 3047, 543, 9894, 2096, 657, 786, 581, 693, 922, 20125, 269, 4595, 9894, 2096, 657, 786, 581, 930, 476, 1556, 269, 274, 2929, 12919, 630, 277, 269, 279, 2929, 5195, 264, 689, 3047, 693, 519, 942, 540, 1764, 267, 24985, 782, 936, 519, 1158, 786, 581, 2111, 547, 7119, 538, 519, 3486, 11287, 5859, 547, 2268, 519, 21987, 540, 667, 11286, 779, 16580, 563, 14071, 1810, 1406, 1616, 547, 581, 538, 513, 3510, 1141, 606, 20503, 568, 18188, 4724, 3047, 543, 1287, 723, 547, 581, 4152, 713, 2186, 540, 12588, 269, 1284, 1616, 547, 917, 827, 1312, 875, 519, 14361, 1568, 543, 1018, 519, 5114, 786, 581, 676, 519, 20503, 547, 519, 1764, 1354, 649, 2479, 1205, 538, 513, 3510, 899, 602, 2223, 1767, 14811, 2917, 9652, 267, 19236, 8878, 11464, 585, 8331, 267, 538, 5437, 476, 1708, 272, 563, 1103, 1931, 547, 3035, 519, 15452, 1764, 1219, 3005, 267, 519, 667, 11286, 14361, 786, 1159, 1662, 3294, 883, 519, 20503, 693, 513, 3432, 540, 476, 1428, 267, 1822, 18890, 630, 2190, 267, 9610, 737, 874, 1040, 898, 779, 711, 1434, 585, 519, 5624, 1222, 779, 1072, 267, 855, 621, 779, 1390, 585, 1382, 269, 634, 3196, 540, 519, 1764, 786, 581, 2147, 547, 602, 540, 513, 1614, 268, 2023, 570, 18199, 16411, 2443, 6157, 711, 6046, 267, 855, 3833, 1804, 20866, 269, 1403, 3388, 4422, 2687, 547, 1544, 267, 519, 16580, 786, 2014, 513, 1689, 540, 20771, 6991, 540, 1447, 982, 835, 2600, 267, 2110, 2287, 519, 7599, 2280, 779, 10739, 676, 1896, 3764, 563, 24618, 2861, 7422, 786, 5351, 538, 10442, 519, 4640, 540, 1835, 4770 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 4990, 6025, 11391, 8266, 267, 1101, 2187, 825, 1007, 8266, 17342, 2639, 825, 585, 1775, 538, 2039, 6600, 1009, 267, 1015, 2187, 1038, 1007, 8266, 6910, 6025, 11391, 8266, 5157, 7481, 825, 1007, 8266, 31699, 4590, 825, 1642, 10917, 8266, 314, 14140, 281, 1015, 2639, 825, 585, 1775, 538, 2039, 12759, 28956, 8266, 15892, 1038, 10917, 8266, 6910, 28956, 8266, 5157, 20285, 3698, 23396, 6025, 11391, 8266, 28083, 14720, 2187, 825, 10917, 284, 31184, 8266, 314, 320, 2639, 825, 10917, 8266, 314, 320, 24557, 31184, 8266, 314, 321, 2639, 825, 10917, 8266, 314, 321, 24557, 31184, 454, 3698, 1265, 5575, 6025, 11391, 8266, 2187, 825, 585, 1775, 538, 2039, 263, 279, 16427, 272, 16427, 272, 2187, 1038, 952, 10917, 8266, 5157, 316, 283, 31184, 8266, 5157, 266, 272, 14158, 2018, 2132, 1775, 454, 3698, 1265, 20376, 895, 6025, 11391, 8266, 267, 1101, 2187, 825, 3813, 895, 284, 271, 454, 825, 1295, 19617, 284, 1015, 454, 825, 585, 1775, 538, 2039, 6600, 1009, 266, 272, 267, 1015, 2187, 1038, 1003, 284, 31184, 8266, 5157, 2639, 1038, 952, 16325, 285, 31184, 8266, 314, 14140, 316, 663, 1003, 27045, 2381, 19617, 2187, 2018, 1295, 19617, 284, 11133, 454, 2018, 3813, 895, 284, 328, 454, 825, 2132, 3813, 895, 454, 3698, 1205, 9202, 6025, 11391, 8266, 2187, 825, 1101, 284, 22772, 5575, 6025, 11391, 8266, 994, 825, 3813, 895, 284, 22772, 20376, 895, 6025, 11391, 8266, 267, 14140, 994, 825, 23396, 6025, 11391, 8266, 267, 14140, 267, 5913, 895, 994, 825, 4990, 6025, 11391, 8266, 267, 1101, 266, 272, 994, 3698, 3247, 17338, 272, 267, 1592, 273, 2187, 825, 585, 1775, 538, 2039, 12759, 17338, 272, 15892, 1038, 952, 17338, 272, 5157, 316, 256, 284, 1592, 273, 5157, 316, 2187, 2018, 2132, 8771, 454, 825, 2132, 6936, 454, 3698, 2820, 328, 263, 2993, 2187, 825, 952, 263, 2993, 314, 274, 316, 260, 273, 2525, 271, 543, 263, 2993, 314, 273, 27994, 2993, 314, 274, 27994, 2993, 314, 275, 8079, 260, 274, 2525, 271, 543, 15073, 314, 276, 316, 260, 276, 2525, 271, 543, 630, 2993, 314, 275, 30297, 1911, 266, 2993, 314, 276, 30297, 1015, 266, 2993, 314, 277, 8079, 260, 278, 2525, 271, 543, 630, 2993, 314, 276, 30297, 1911, 266, 2993, 314, 277, 30297, 1015, 266, 2993, 314, 278, 8079, 260, 1556, 2525, 271, 543, 630, 2993, 314, 277, 30297, 1911, 266, 2993, 314, 278, 30297, 1015, 266, 2993, 314, 279, 8079, 260, 1724, 2525, 271, 543, 630, 2993, 314, 278, 30297, 1911, 266, 2993, 314, 279, 30297, 1015, 266, 2993, 314, 280, 8079, 260, 1704, 2525, 271, 2187, 1038, 2132, 6936, 454, 825, 2132, 8771, 454, 4289, 273, 17342, 280, 267, 279, 267, 278, 267, 277, 267, 276, 267, 275, 267, 274, 267, 273, 267, 272, 267, 271, 2639, 4289, 272, 17342, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 6540, 454, 1206, 636, 284, 271, 454, 6112, 263, 711, 3247, 17338, 272, 267, 1592, 273, 15892, 825, 952, 2820, 328, 17338, 272, 2187, 1038, 512, 8999, 23785, 842, 3488, 8339, 21860, 9852, 777, 19304, 267, 4289, 272, 21875, 825, 1205, 9202, 17338, 272, 994, 2745, 263, 1206, 636, 2020, 8931, 3097, 3097, 0, 3698, 12980, 318, 1551, 9734, 28949, 16911, 2187, 825, 2042, 284, 16911, 314, 271, 2639, 825, 1948, 2638, 952, 3403, 540, 2042, 814, 519, 2953, 3898, 454, 825, 952, 7003, 263, 2889, 21793, 314, 271, 4940, 20889, 28829, 11203, 476, 274, 912, 1038, 2132, 834, 13286, 281, 7490, 4283, 513, 1966, 538, 519, 1106, 1412, 343, 1341, 586, 262, 5016, 825, 1948, 3193, 476, 276, 13366, 538, 1592, 454, 825, 952, 7003, 263, 2889, 21793, 264, 3436, 476, 276, 281, 2132, 834, 13286, 281, 18320, 1082, 2042, 3010, 825, 11346, 272, 815, 11713, 825, 11346, 273, 815, 11713, 825, 1766, 663, 815, 11713, 825, 3435, 815, 29129, 825, 585, 1966, 538, 2042, 912, 1038, 1100, 272, 815, 1966, 21858, 3890, 314, 271, 2639, 1038, 1100, 273, 815, 1966, 21858, 3890, 314, 273, 2639, 1038, 1566, 815, 1966, 21858, 3890, 314, 272, 6540, 1038, 1948, 11346, 1152, 25962, 610, 21029, 7055, 1038, 952, 1566, 711, 538, 18358, 266, 12887, 268, 11172, 281, 2132, 834, 13286, 281, 7358, 1807, 1590, 581, 25962, 610, 25023, 3010, 1038, 1948, 3193, 476, 275, 7857, 2338, 454, 1038, 952, 7003, 3799, 334, 272, 264, 3436, 476, 275, 610, 7003, 3799, 334, 273, 264, 285, 275, 281, 2132, 834, 13286, 281, 10606, 3112, 581, 811, 982, 2185, 9704, 4799, 13872, 1038, 1948, 2338, 1152, 9704, 454, 1038, 2119, 281, 3097, 2018, 1100, 272, 815, 703, 3799, 334, 272, 994, 2018, 1100, 273, 815, 703, 3799, 334, 273, 994, 1038, 4849, 912, 2018, 2132, 1412, 13286, 281, 10606, 1590, 1152, 2270, 9704, 9538, 692, 1038, 11346, 272, 6910, 3799, 334, 272, 994, 1038, 11346, 273, 6910, 3799, 334, 273, 994, 1038, 1766, 663, 6910, 263, 641, 994, 13872, 1038, 1948, 20412, 622, 3435, 543, 2322, 883, 3435, 1592, 454, 825, 585, 1775, 538, 2039, 630, 271, 267, 6352, 263, 2889, 21793, 15892, 1038, 952, 263, 6016, 663, 5157, 316, 2652, 834, 266, 257, 2187, 2018, 3435, 6910, 263, 28072, 272, 5157, 316, 1341, 11346, 273, 5157, 7481, 1038, 3116, 281, 3097, 2018, 3435, 6910, 263, 28072, 272, 5157, 316, 910, 11346, 273, 5157, 7481, 13872, 825, 1899, 272, 815, 834, 4840, 825, 1899, 273, 815, 834, 4840, 825, 1899, 274, 815, 834, 4840, 825, 1899, 275, 815, 834, 5016, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 2889, 21793, 15892, 1038, 952, 11346, 272, 5157, 316, 3436, 11346, 273, 5157, 14158, 2018, 1899, 272, 6834, 9497, 834, 2608, 476, 273, 264, 1341, 1193, 263, 28072, 272, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 1899, 273, 6834, 1766, 663, 5157, 316, 1341, 834, 834, 1341, 834, 834, 2608, 630, 6352, 19304, 263, 28072, 272, 5157, 316, 4297, 910, 7003, 19304, 263, 28072, 273, 5157, 316, 30727, 1341, 1193, 263, 28072, 273, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 1899, 274, 6834, 29038, 257, 2608, 630, 6352, 19304, 263, 28072, 272, 5157, 316, 4297, 266, 273, 264, 1341, 9497, 834, 2608, 476, 275, 2020, 2018, 952, 7003, 19304, 4433, 30055, 5157, 316, 4297, 3436, 7003, 19304, 263, 28072, 272, 5157, 8079, 2187, 3546, 1899, 275, 6834, 834, 834, 2608, 630, 6352, 19304, 4433, 30055, 5157, 316, 4297, 910, 7003, 19304, 263, 28072, 272, 5157, 316, 30727, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 8640, 7003, 19304, 4433, 30055, 5157, 316, 4297, 2999, 7003, 19304, 263, 28072, 272, 5157, 8079, 2187, 3546, 1899, 275, 6834, 834, 834, 2608, 630, 6352, 19304, 263, 28072, 272, 5157, 316, 4297, 910, 7003, 19304, 4433, 30055, 5157, 316, 30727, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 3116, 912, 3546, 1899, 275, 6834, 834, 834, 2608, 476, 273, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 2020, 1038, 3116, 912, 2018, 1899, 272, 6834, 834, 834, 2608, 476, 273, 1341, 834, 834, 16732, 6352, 19304, 263, 28072, 273, 5157, 316, 4297, 910, 7003, 19304, 263, 28072, 272, 5157, 316, 30727, 1341, 1193, 263, 28072, 272, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 1899, 273, 6834, 1766, 663, 5157, 316, 1341, 834, 834, 1341, 1193, 263, 28072, 273, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 1899, 274, 6834, 29038, 257, 2608, 630, 6352, 19304, 263, 28072, 273, 5157, 316, 4297, 266, 273, 264, 1341, 9497, 834, 2608, 476, 275, 2020, 2018, 952, 7003, 19304, 4433, 30055, 5157, 316, 4297, 3436, 7003, 19304, 263, 28072, 273, 5157, 8079, 2187, 3546, 1899, 275, 6834, 834, 834, 2608, 630, 6352, 19304, 4433, 30055, 5157, 316, 4297, 910, 7003, 19304, 263, 28072, 273, 5157, 316, 30727, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 8640, 7003, 19304, 4433, 30055, 5157, 316, 4297, 2999, 7003, 19304, 263, 28072, 273, 5157, 8079, 2187, 3546, 1899, 275, 6834, 834, 834, 2608, 630, 6352, 19304, 263, 28072, 273, 5157, 316, 4297, 910, 7003, 19304, 4433, 30055, 5157, 316, 30727, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 994, 2018, 3116, 912, 3546, 1899, 275, 6834, 834, 834, 2608, 476, 273, 1341, 1193, 4433, 30055, 5157, 8079, 1341, 9497, 834, 2608, 476, 275, 2020, 825, 2119, 912, 1038, 952, 26571, 314, 272, 316, 2525, 12148, 912, 2018, 2132, 1899, 272, 11468, 6352, 263, 1467, 272, 9984, 275, 316, 1341, 1412, 315, 333, 262, 1341, 1899, 273, 11468, 6352, 263, 1467, 273, 9984, 275, 316, 1341, 1412, 315, 333, 262, 1341, 1899, 274, 11468, 6352, 263, 1467, 274, 9984, 275, 316, 1341, 1412, 315, 333, 262, 1341, 1899, 275, 11468, 6352, 263, 1467, 275, 9984, 275, 2639, 825, 4849, 912, 1038, 2132, 1899, 272, 11468, 6352, 263, 1467, 272, 9984, 275, 316, 1341, 1412, 315, 333, 262, 1341, 1899, 273, 11468, 6352, 263, 1467, 273, 9984, 275, 316, 1341, 1412, 315, 333, 262, 1341, 1899, 274, 11468, 6352, 263, 1467, 274, 9984, 275, 6540, 0, 19399, 19399, 5992, 1012, 454, 258, 2910, 7419, 16249, 21398, 7034, 476, 630, 1428, 270, 1428, 2798, 994, 258, 27539, 521, 568, 513, 5569, 540, 2539, 2013, 3197, 563, 258, 3097, 258, 3503, 513, 1982, 602, 16493, 519, 1297, 540, 2053, 519, 5569, 1412, 321, 984, 7055, 258, 4386, 538, 521, 269, 1280, 1383, 267, 952, 521, 815, 1412, 1794, 322, 321, 984, 984, 1122, 724, 752, 331, 3299, 1287, 707, 1982, 454, 258, 1058, 1820, 454, 258, 476, 453, 10831, 540, 2053, 27342, 4386, 568, 281, 476, 273, 454, 19399, 19399, 5992, 1012, 692, 3698, 20825, 30415, 267, 1016, 2187, 825, 1293, 815, 1376, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 1376, 815, 5569, 26098, 4433, 889, 267, 1376, 264, 1341, 476, 272, 3248, 1038, 952, 1376, 3436, 476, 271, 912, 2018, 1293, 6834, 476, 272, 3248, 1038, 3116, 912, 2018, 2132, 1293, 3248, 27030, 2745, 834, 10831, 540, 2053, 27342, 4386, 568, 281, 834, 1341, 2387, 24593, 18384, 4433, 267, 1412, 321, 984, 10807, 319, 282, 0, 3698, 4894, 318, 706, 1186, 263, 684, 1664, 2567, 3097, 825, 1427, 815, 32582, 3097, 825, 585, 1193, 337, 538, 2189, 281, 3097, 1038, 952, 1193, 337, 31573, 3890, 711, 538, 1427, 281, 3097, 2018, 1427, 6910, 19304, 337, 264, 3097, 825, 2132, 1427, 476, 7531, 2745, 263, 24525, 318, 706, 1186, 8443, 257, 7090, 2580, 834, 329, 6072, 2580, 834, 23911, 2580, 834, 297, 6072, 19312, 4297, 0, 5814, 4584, 548, 454, 258, 4584, 548, 568, 1031, 3615, 547, 581, 10710, 547, 513, 3758, 865, 602, 789, 666, 581, 6740, 454, 258, 649, 616, 13936, 1239, 883, 513, 3758, 692, 574, 601, 6767, 815, 18011, 5415, 2904, 1335, 22779, 16875, 1412, 3412, 601, 6767, 2904, 22779, 16875, 1412, 1001, 272, 22779, 16875, 16733, 272, 267, 1412, 303, 1638, 532, 519, 681, 1872, 262, 13211, 19930, 630, 273, 267, 1412, 20329, 334, 262, 13211, 19930, 630, 274, 267, 1412, 9802, 1335, 262, 13211, 19930, 630, 275, 267, 1412, 298, 550, 880, 16011, 32240, 345, 262, 21875, 5976, 1930, 2891, 574, 601, 6767, 4877, 1157, 548, 2580, 834, 342, 321, 8442, 607, 4584, 548, 18316, 912, 825, 4584, 548, 6155, 2794, 263, 574, 601, 6767, 267, 4584, 548, 18316, 2020, 5976, 1930, 2891, 574, 601, 6767, 4877, 1157, 548, 2580, 834, 337, 321, 8442, 607, 708, 601, 6767, 7272, 1157, 1194, 912, 825, 708, 601, 6767, 273, 815, 4584, 548, 269, 2903, 263, 574, 601, 6767, 7272, 1157, 1194, 2020, 2745, 263, 574, 601, 6767, 273, 994, 258, 18011, 5415, 2904, 1335, 3299, 1412, 3412, 601, 6767, 2904, 3299, 1412, 1001, 272, 3299, 16733, 272, 267, 1412, 303, 1638, 532, 519, 681, 1872, 30670, 630, 273, 267, 1412, 20329, 334, 30670, 630, 274, 267, 1412, 9802, 1335, 30670, 630, 275, 267, 1412, 298, 550, 880, 16011, 32240, 345, 262, 21875, 531, 321, 636, 267, 7376, 267, 1032, 267, 3950, 8217, 815, 708, 601, 6767, 273, 454, 2745, 263, 531, 321, 636, 264, 476, 1948, 2859, 2904, 1335, 454, 2745, 263, 691, 626, 264, 476, 1948, 1955, 601, 6767, 2904, 454, 2745, 12169, 792, 264, 476, 1948, 476, 1001, 272, 454, 1721, 3950, 538, 3950, 8217, 912, 825, 3950, 20311, 267, 3950, 21234 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9523, 621, 593, 9365, 12108, 19478, 1341, 476, 273, 1422, 1002, 1775, 1341, 476, 273, 1422, 1002, 1341, 256, 1341, 544, 476, 279, 616, 2451, 607, 3635, 267, 693, 713, 1448, 267, 621, 568, 1869, 513, 2603, 811, 960, 581, 256, 20099, 540, 519, 6152, 1862, 11426, 1125, 10467, 543, 4647, 7300, 11313, 521, 17995, 1496, 9948, 256, 1635, 561, 267, 544, 267, 543, 562, 269, 561, 815, 5430, 16061, 269, 562, 815, 5430, 14668, 269, 544, 815, 5430, 616, 256, 23463, 543, 630, 642, 3738, 1022, 1770, 6152, 538, 602, 4287, 865, 546, 322, 1862, 1635, 1323, 11986, 4905, 476, 273, 3738, 1341, 544, 476, 279, 2143, 543, 2312, 6656, 593, 782, 8212, 11872, 602, 616, 1360, 547, 256, 8422, 1071, 268, 15453, 17887, 676, 1323, 11986, 4905, 2016, 6152, 538, 602, 4287, 476, 2568, 547, 519, 543, 256, 1284, 946, 519, 3830, 585, 519, 5086, 1063, 966, 26662, 547, 1205, 519, 4287, 5430, 1149, 519, 4287, 531, 5430, 1149, 540, 6152, 269, 630, 476, 7906, 269, 272, 330, 2798, 3738, 5697, 9484, 476, 1839, 267, 476, 1708, 271, 676, 1323, 11986, 4905, 693, 476, 2568, 547, 519, 1990, 14289, 1775, 476, 24994, 1341, 29339, 269, 9717, 6152, 538, 602, 4287, 1631, 519, 6152, 2306, 609, 519, 2318, 623, 269, 476, 1321, 269, 272, 4287, 7285, 540, 476, 273, 476, 274, 513, 1775, 795, 568, 519, 1448, 630, 476, 274, 1107, 29755, 5430, 16061, 267, 543, 19584, 998, 2035, 20922, 676, 561, 267, 544, 267, 543, 630, 642, 1022, 256, 634, 3259, 540, 519, 4287, 5430, 1149, 540, 513, 6152, 7824, 1862, 11426, 1125, 10467, 543, 4647, 7300, 11313, 521, 966, 26662, 269, 634, 7285, 267, 543, 799, 616, 519, 7418, 540, 1142, 5057, 540, 519, 7285, 1063, 19024, 256, 2986, 1142, 5057, 540, 519, 1071, 268, 15453, 17887, 621, 568, 1869, 513, 2603, 811, 960, 547, 581, 2944, 540, 630, 3738, 256, 19577, 338, 540, 630, 13797, 16532, 543, 5430, 29339, 616, 1634, 607, 519, 4287, 5430, 1149, 543, 4287, 543, 269, 634, 3259, 540, 519, 8912, 10206, 540, 9386, 547, 2362, 7516, 267, 972, 568, 1869, 8908, 1862, 2986, 519, 6152, 1862, 11426, 1125, 10467, 543, 4647, 7300, 11313, 521, 17995, 1496, 9948, 256, 21070, 540, 536, 2443, 19024, 6152, 540, 536, 2443, 19024, 6152, 540, 536, 2443, 19024, 6152, 543, 256, 2986, 630, 13797, 16532, 630, 17488, 16532, 543, 4287, 5430, 1149, 540, 513, 6152, 7824, 561, 815, 5430, 16061, 269, 815, 269, 2340, 481, 501, 815, 476, 392, 480, 1341, 536, 476, 392, 480, 1341, 536, 476, 392, 480, 1341, 536, 476, 392, 480, 1341, 476, 392, 480, 256, 1677, 4287, 5430, 1149, 540, 4287, 5430, 1149, 540, 513, 6152, 7824, 1899, 1341, 544, 476, 279, 7044, 267, 2220, 6559, 2984, 269, 17995, 1496, 910, 272, 267, 272, 9948, 9484, 476, 1839, 267, 476, 1708, 271, 676, 25941, 534, 4905, 630, 476, 7906, 269, 272, 330, 2798, 3738, 5697, 9484, 476, 1839, 267, 476, 1708, 271, 25941, 534, 4905, 256, 2052, 581, 2854, 607, 5430, 14668, 1775, 476, 24994, 1341, 5430, 16061, 476, 24994, 795, 4287, 5430, 1149, 540, 513, 6152, 7824, 5430, 16061, 476, 24994, 795, 1341, 16061, 256, 2480, 531, 1513, 543, 966, 26662, 1644, 547, 4287, 5430, 1149, 585, 513, 2016, 6152, 538, 602, 4287, 267, 3738, 1862, 1422, 295, 520, 737, 3738, 1422, 3738, 616, 21718, 513, 1899, 616, 519, 4287, 540, 536, 24994, 3738, 1770, 1862, 3657, 519, 4287, 5430, 1149, 543, 4287, 5086, 585, 1142, 6152, 476, 2537, 267, 476, 1708, 271, 676, 1323, 11986, 4905, 513, 8908, 267, 972, 1869, 1862, 9406, 616, 1175, 4287, 5430, 1149, 540, 513, 6152, 616, 519, 5430, 1149, 540, 519, 6152, 2609, 519, 269, 476, 1708, 271, 676, 25941, 534, 4905, 630, 476, 7906, 269, 272, 330, 2798, 3738, 5697, 9484, 476, 1839, 267, 476, 1708, 271, 676, 1323, 11986, 4905, 543, 562, 269, 815, 269, 8212, 11872, 602, 616, 14354, 547, 519, 4287, 5430, 1149, 540, 930, 6152, 267, 1287, 1265, 513, 4287, 269, 910, 272, 267, 272, 9948, 1341, 815, 476, 280, 1341, 544, 476, 279, 593, 782, 8212, 11872, 616, 24222, 544, 267, 543, 5430, 29339, 1141, 623, 568, 519, 1448, 630, 476, 274, 267, 1107, 476, 277, 476, 273, 256, 3245, 7406, 1775, 547, 7406, 795, 1634, 607, 519, 4287, 5430, 1149, 540, 513, 616, 1862, 808, 910, 1422, 1002, 737, 3738, 1422, 3738, 616, 2451, 607, 3635, 5430, 1149, 543, 4287, 5430, 1149, 616, 606, 26922, 10137, 519, 256, 476, 272, 6567, 4287, 5430, 1149, 540, 513, 6152, 7824, 476, 274, 602, 519, 6152, 568, 8449, 20916, 547, 17887, 744, 311, 267, 543, 2439, 309, 1068, 673, 20917, 816, 590, 1956, 267, 25069, 322, 7956, 3796, 3778, 267, 2107, 577, 573, 27817, 5695, 940, 14117, 1656, 9466, 267, 17939, 320, 5244, 532, 9919, 334, 267, 10222, 18647, 8830, 16746, 267, 853, 712, 8822, 808, 4233, 5244, 532, 932, 1173, 525, 267, 0, 1012, 589, 18527, 9122, 20603, 10658, 14794, 692, 2162, 476, 276, 4510, 543, 5426, 1109, 272, 692, 276, 4510, 568, 519, 30494, 540, 25355, 17784, 476, 16348, 268, 21878, 268, 276, 4510, 269, 2052, 596, 1265, 519, 6574, 1455, 3815, 540, 1346, 1614, 2338, 2496, 19530, 519, 13410, 610, 1826, 519, 3070, 593, 713, 14133, 3758, 281, 1109, 1015, 11790, 476, 1001, 276, 268, 5881, 268, 6187, 692, 31445, 31445, 31445, 31445, 31445, 31445, 31445, 31445, 1765, 692, 1892, 476, 276, 4510, 568, 513, 12432, 1297, 563, 1892, 11788, 26458, 281, 1109, 276, 4510, 815, 476, 273, 1535, 476, 273, 1535, 476, 273, 1535, 476, 273, 1535, 476, 273, 1535, 476, 1704, 267, 799, 666, 581, 2854, 476, 276, 4510, 815, 630, 273, 317, 276, 264, 1535, 476, 1704, 454, 1892, 634, 23055, 538, 519, 6305, 26458, 616, 476, 276, 543, 476, 272, 269, 17006, 835, 547, 1142, 543, 14921, 649, 1205, 630, 276, 1341, 476, 272, 7565, 272, 1341, 476, 272, 264, 815, 476, 277, 1535, 476, 273, 815, 476, 1321, 269, 4475, 476, 276, 4510, 814, 4010, 476, 1321, 2188, 563, 1892, 11790, 540, 1109, 276, 4510, 281, 476, 272, 267, 1109, 273, 267, 476, 275, 267, 476, 279, 267, 476, 1626, 267, 476, 1704, 267, 476, 3953, 267, 476, 4097, 267, 476, 6924, 267, 476, 15793, 267, 476, 26604, 267, 476, 276, 4510, 454, 1892, 16748, 8424, 281, 1109, 276, 4510, 815, 476, 272, 1535, 476, 276, 4510, 267, 476, 273, 1535, 476, 26604, 267, 476, 275, 1535, 476, 15793, 267, 476, 279, 1535, 476, 6924, 267, 476, 1626, 1535, 476, 4097, 267, 610, 476, 1704, 1535, 476, 3953, 454, 1892, 14171, 519, 3815, 6292, 609, 519, 4102, 4009, 1297, 3815, 267, 649, 1205, 20734, 276, 4510, 815, 630, 18414, 1626, 7565, 18414, 4097, 264, 815, 476, 275, 18414, 4097, 9881, 486, 476, 2537, 269, 26825, 279, 692, 31445, 31445, 31445, 31445, 31445, 31445, 31445, 31445, 1765, 0, 258, 476, 274, 6323, 2243, 948, 692, 2252, 4896, 666, 948, 713, 6323, 30497, 856, 267, 594, 723, 1044, 2324, 593, 891, 2042, 585, 827, 513, 3018, 269, 594, 1175, 3323, 3168, 693, 1250, 2025, 4702, 8212, 2835, 543, 6323, 2835, 267, 3843, 547, 11453, 909, 2807, 865, 952, 596, 666, 948, 267, 1934, 616, 519, 476, 274, 2055, 1384, 272, 269, 589, 521, 1194, 540, 2527, 476, 1015, 4846, 568, 4371, 538, 1747, 593, 513, 11508, 1652, 476, 1839, 4110, 9386, 676, 513, 18052, 7923, 547, 513, 7196, 693, 519, 1283, 269, 634, 18052, 568, 6252, 547, 519, 9386, 269, 1548, 568, 519, 8082, 538, 519, 18052, 780, 273, 269, 1323, 30981, 20604, 476, 1839, 267, 1822, 715, 568, 6462, 676, 513, 5374, 10814, 269, 1548, 568, 519, 8082, 538, 519, 10814, 950, 519, 30981, 568, 1373, 18965, 16057, 693, 513, 2557, 540, 476, 273, 544, 4882, 317, 273, 269, 630, 326, 815, 476, 280, 269, 279, 544, 4882, 317, 273, 2020, 274, 269, 589, 12113, 5142, 8868, 814, 8953, 476, 276, 269, 271, 544, 543, 2306, 835, 4838, 538, 476, 279, 7643, 269, 589, 1268, 20604, 476, 277, 3583, 715, 568, 9361, 593, 835, 540, 519, 1649, 2583, 7923, 693, 519, 26079, 540, 519, 8868, 269, 1548, 568, 519, 7805, 2597, 630, 1492, 519, 3339, 3196, 25116, 593, 1200, 676, 519, 14541, 264, 540, 519, 1268, 607, 1352, 10596, 998, 519, 5207, 1448, 540, 1200, 5163, 2496, 5970, 596, 6836, 5373, 1863, 1560, 12222, 286, 1358, 3513, 948, 513, 2603, 538, 2042, 899, 891, 780, 263, 296, 723, 547, 2322, 519, 6516, 883, 1913, 1317, 594, 10093, 1405, 23125, 856, 875, 547, 2322, 606, 3239, 538, 713, 5048, 994, 25898, 519, 1863, 23073, 6516, 585, 519, 30981, 723, 8082, 2469, 20733, 267, 630, 301, 264, 2469, 1524, 2072, 267, 543, 630, 16936, 264, 2469, 1524, 1841, 269, 6271, 4062, 540, 9623, 594, 798, 711, 1205, 568, 875, 1131, 519, 10231, 799, 568, 2469, 20733, 3514, 883, 519, 3196, 6516, 269, 1403, 594, 993, 7508, 4376, 585, 713, 6516, 5225, 2953, 803, 543, 5225, 2953, 803, 952, 1250, 3830, 568, 4636, 563, 25898, 519, 3830, 1413, 899, 713, 570, 910, 715, 910, 16936, 815, 12103, 26042, 2690, 519, 521, 1194, 267, 519, 1863, 1560, 6516, 1131, 581, 585, 519, 7299, 715, 16057, 267, 910, 293, 314, 21653, 284, 269, 277, 316, 326, 22535, 21653, 316, 6658, 1189, 267, 543, 585, 519, 8880, 8082, 547, 519, 1318, 269, 3733, 2243, 568, 1281, 519, 7196, 723, 513, 1863, 1560, 6516, 2496, 8310, 12995, 912, 296, 3513, 2119, 543, 4217, 596, 538, 14335, 519, 1863, 1560, 6516, 780, 2690, 519, 30981, 2243, 267, 1934, 781, 513, 20726, 281, 2687, 547, 13053, 781, 476, 274, 6113, 4521, 267, 519, 3196, 593, 519, 30981, 689, 519, 10814, 568, 3160, 547, 519, 8082, 538, 519, 10814, 780, 763, 3196, 593, 519, 30981, 1813, 547, 519, 10814, 568, 17444, 621, 20733, 267, 1247, 519, 30981, 781, 1378, 2597, 568, 17444, 621, 1524, 2072, 269, 1452, 1079, 4229, 786, 1039, 909, 547, 2285, 513, 2121, 3196, 799, 3123, 519, 16057, 10231, 780, 2690, 519, 521, 1194, 267, 1614, 4229, 616, 9117, 593, 621, 269, 634, 8082, 689, 519, 18052, 630, 1706, 5537, 547, 9386, 1070, 519, 2597, 630, 3200, 1227, 1524, 2072, 264, 543, 519, 3339, 5114, 3196, 630, 6518, 568, 2141, 13902, 547, 519, 2627, 1040, 1703, 568, 1100, 2121, 3196, 780, 28775, 2685, 713, 786, 948, 596, 4020, 519, 2556, 12222, 269, 1411, 666, 2965, 8936, 2592, 547, 713, 267, 543, 621, 781, 2653, 585, 803, 547, 2721, 2592, 1210, 24484, 543, 1397, 596, 267, 855, 16304, 1472, 713, 8468, 6645, 803, 602, 594, 1058, 711, 2285, 4267, 2047, 780, 25898, 519, 6516, 585, 519, 30981, 543, 521, 1194, 1413, 899, 713, 1384, 9827, 519, 8082, 630, 339, 264, 1058, 581, 2469, 1524, 2072, 267, 10414, 630, 293, 264, 1058, 581, 2469, 20733, 692, 263, 3239, 1058, 581, 593, 2985, 1079, 264, 594, 8009, 569, 25216, 1055, 713, 2985, 2073, 663, 1631, 621, 786, 711, 1450, 803, 547, 2022, 593, 713, 2985, 15042, 24355, 8310, 12995, 912, 9827, 1934, 568, 1018, 594, 723, 585, 519, 521, 1194, 780, 307, 815, 674, 272, 326, 4433, 514, 1839, 2020, 293, 272, 326, 815, 630, 1015, 4846, 7565, 280, 269, 279, 332, 4882, 317, 273, 994, 293, 272, 326, 815, 476, 7176, 715, 454, 680, 1872, 883, 519, 3830, 570, 815, 674, 272, 326, 4433, 514, 1839, 2020, 307, 815, 476, 7176, 715, 4433, 514, 1839, 994, 307, 815, 476, 6078, 269, 6078, 715, 692, 25898, 333, 1405, 674, 343, 326, 284, 674, 326, 7562, 476, 1839, 543, 674, 17789, 815, 674, 326, 6523, 476, 1839, 692, 9827, 1223, 596, 5225, 948, 803, 593, 519, 14764, 609, 519, 521, 1194, 269, 594, 993, 2186, 320, 11821, 593, 1018, 594, 1131, 798, 1985, 780, 3086, 1394, 547, 519, 30981, 1966, 267, 630, 296, 1589, 1250, 3196, 6516, 568, 11234, 1317, 3085, 1405, 3196, 543, 8082, 723, 547, 581, 538, 6587, 8846, 630, 1492, 3196, 263, 659, 5120, 566, 264, 568, 20733, 543, 519, 8082, 568, 20733, 1131, 602, 581, 2953, 286, 11723, 5575, 3830, 570, 6363, 272, 326, 815, 544, 630, 320, 264, 630, 594, 1589, 1250, 14764, 568, 2953, 713, 942, 1472, 269, 1403, 711, 5225, 2995, 803, 1018, 594, 993, 3257, 27235, 888, 307, 268, 1839, 267, 1822, 715, 815, 476, 273, 267, 4649, 272, 11899, 263, 273, 544, 4882, 994, 307, 910, 1839, 267, 1822, 715, 815, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1492, 3781, 729, 4411, 543, 6632, 267, 8117, 538, 519, 1507, 1612, 3271, 540, 6997, 14725, 636, 966, 8759, 519, 9420, 338, 941, 6537, 543, 519, 3595, 14616, 29116, 269, 22569, 2044, 634, 3933, 4486, 781, 623, 1177, 814, 1082, 1806, 540, 10444, 3877, 602, 1397, 513, 17559, 7099, 269, 590, 697, 1383, 281, 1261, 2893, 4805, 538, 519, 14334, 267, 575, 5074, 693, 519, 12955, 3595, 267, 543, 7487, 8188, 538, 621, 269, 634, 2063, 3068, 729, 865, 29695, 543, 865, 1138, 1014, 602, 646, 575, 18968, 693, 621, 538, 993, 10270, 618, 563, 307, 13224, 1383, 281, 24222, 543, 5433, 1010, 1259, 547, 519, 1612, 3271, 282, 646, 5433, 602, 646, 4503, 519, 4287, 540, 519, 7450, 269, 3571, 536, 992, 4411, 609, 17570, 267, 646, 5433, 1010, 1259, 5180, 519, 3349, 267, 543, 575, 1886, 539, 2059, 519, 3774, 2394, 646, 1336, 5128, 538, 519, 1507, 8574, 609, 519, 7938, 3128, 13135, 3364, 538, 1010, 1688, 563, 306, 895, 1383, 281, 26681, 12038, 267, 855, 2482, 3623, 1836, 6947, 547, 519, 8743, 532, 540, 519, 9219, 269, 589, 25047, 1212, 8898, 267, 543, 513, 2695, 324, 21294, 10856, 1085, 584, 3072, 1100, 529, 1176, 998, 519, 3774, 5919, 513, 22545, 865, 9602, 543, 2848, 953, 344, 607, 547, 581, 17077, 569, 2912, 1043, 267, 32131, 593, 519, 4395, 7450, 269, 13517, 540, 10886, 781, 32438, 610, 18461, 902, 769, 634, 3933, 4486, 781, 623, 1177, 267, 519, 1915, 781, 1745, 543, 2911, 538, 513, 6073, 540, 28194, 543, 21379, 1952, 1465, 563, 8722, 601, 902, 1383, 281, 1809, 519, 2395, 5293, 267, 543, 20772, 5795, 1747, 547, 29997, 566, 7308, 27945, 29997, 566, 540, 519, 2025, 267, 28069, 3765, 21406, 3284, 4331, 563, 307, 1779, 1383, 281, 834, 290, 727, 1394, 2437, 646, 1767, 13035, 569, 269, 834, 2791, 786, 581, 4411, 4799, 24679, 568, 21617, 585, 1250, 5067, 2437, 1767, 519, 2025, 4807, 267, 543, 649, 696, 7192, 3306, 269, 8672, 540, 7348, 3689, 1268, 1448, 540, 2070, 2914, 1156, 519, 1650, 568, 5143, 998, 519, 5133, 540, 519, 1292, 610, 5634, 1915, 538, 519, 1650, 454, 23612, 1268, 3908, 7308, 15669, 568, 711, 513, 1915, 538, 519, 1650, 267, 855, 568, 606, 3544, 20626, 609, 1702, 540, 519, 4555, 267, 4606, 267, 543, 8369, 540, 835, 1915, 563, 23612, 1268, 9631, 23036, 2615, 7308, 15669, 568, 711, 513, 1915, 538, 519, 1650, 267, 855, 568, 606, 3544, 20626, 609, 1702, 540, 519, 4555, 267, 4606, 267, 543, 8369, 540, 782, 540, 519, 3197, 269, 769, 519, 1650, 267, 519, 1448, 540, 2070, 568, 3791, 1268, 3908, 1317, 519, 5467, 6487, 519, 4555, 543, 4606, 540, 1152, 835, 540, 519, 3197, 630, 16031, 269, 6519, 1040, 12059, 12287, 17290, 27484, 634, 5837, 540, 519, 1650, 543, 1018, 519, 5467, 1058, 1491, 607, 519, 1292, 2856, 540, 519, 1650, 269, 634, 5837, 540, 634, 3933, 4486, 781, 623, 1177, 568, 12556, 3652, 1004, 781, 2729, 267, 543, 1346, 945, 15936, 609, 621, 267, 2628, 609, 741, 28194, 269, 27752, 781, 13910, 634, 2511, 540, 513, 1650, 568, 519, 6073, 538, 799, 519, 1650, 568, 1373, 5143, 267, 543, 519, 1826, 540, 1893, 602, 568, 1031, 269, 634, 2511, 654, 15030, 269, 10496, 10849, 3096, 538, 634, 3933, 4486, 781, 623, 1177, 568, 1360, 27461, 543, 814, 1082, 3773, 3877, 585, 1198, 269, 6201, 540, 27461, 1893, 281, 6952, 519, 5721, 630, 21355, 558, 1899, 476, 8099, 5148, 513, 5386, 16154, 689, 519, 14440, 30870, 519, 1913, 630, 17367, 2305, 1899, 476, 9873, 994, 7078, 540, 3877, 585, 1198, 281, 834, 1993, 782, 519, 28458, 569, 267, 1793, 639, 1506, 267, 856, 6361, 7308, 17574, 4025, 547, 2661, 538, 267, 713, 568, 519, 10782, 269, 11202, 3118, 781, 513, 536, 690, 267, 543, 519, 4155, 781, 513, 8731, 1370, 1701, 282, 4553, 676, 513, 7381, 267, 3276, 569, 812, 267, 581, 8014, 540, 3750, 543, 6299, 545, 1495, 540, 1471, 720, 269, 8946, 3198, 298, 9358, 256, 11427, 269, 6519, 5170, 547, 1205, 5051, 20158, 936, 1200, 5067, 781, 2669, 543, 2501, 909, 609, 519, 2856, 547, 6999, 585, 1200, 5067, 781, 2132, 676, 1210, 519, 24564, 781, 30392, 269, 6004, 269, 6519, 19385, 14688, 16858, 585, 713, 1317, 540, 4250, 540, 2417, 4539, 269, 29464, 2501, 547, 519, 7450, 4573, 23624, 543, 5679, 12177, 693, 519, 7450, 269, 1879, 11427, 269, 6519, 4422, 547, 1930, 519, 7450, 267, 6004, 269, 6519, 16858, 585, 29464, 781, 14897, 766, 269, 0, 1321, 5153, 553, 728, 717, 6504, 6092, 11783, 4208, 1705, 519, 13477, 540, 8315, 3111, 286, 13177, 18327, 519, 15521, 262, 521, 5821, 729, 711, 1813, 547, 922, 1373, 1932, 10792, 281, 519, 15521, 729, 711, 593, 2730, 2614, 547, 524, 23774, 548, 5125, 538, 519, 1279, 2196, 563, 4913, 267, 782, 519, 1271, 269, 23299, 540, 519, 15521, 540, 12411, 320, 14792, 7300, 1923, 15521, 2986, 12411, 320, 14792, 1923, 1284, 31483, 269, 901, 6204, 1597, 597, 5299, 540, 269, 1306, 513, 1267, 519, 4619, 832, 8959, 547, 1205, 3388, 789, 4941, 563, 2414, 6218, 519, 18454, 14286, 540, 519, 15521, 540, 12411, 320, 14792, 649, 991, 547, 2232, 519, 2474, 540, 519, 15521, 607, 1134, 607, 547, 8524, 519, 4539, 269, 634, 3003, 6138, 540, 519, 2022, 268, 2112, 11175, 20206, 4327, 538, 519, 12411, 320, 14792, 15521, 729, 3765, 31419, 543, 519, 7700, 3815, 547, 519, 12176, 540, 2622, 269, 4455, 476, 1704, 5788, 634, 3483, 540, 519, 2376, 568, 547, 2697, 5659, 519, 1114, 2188, 799, 3361, 519, 5821, 540, 519, 15521, 540, 12411, 320, 14792, 563, 18455, 707, 1378, 20148, 1557, 948, 875, 547, 2328, 513, 1434, 4670, 2090, 1557, 1948, 1557, 815, 2407, 1557, 6919, 1040, 15521, 540, 17930, 14792, 5821, 1557, 269, 15521, 476, 4489, 280, 282, 7014, 9896, 676, 5125, 693, 8303, 5130, 476, 1015, 267, 7014, 9896, 693, 12411, 320, 14792, 4873, 476, 2764, 476, 4572, 271, 563, 14689, 276, 9293, 476, 278, 9664, 269, 1923, 918, 2643, 320, 262, 521, 18248, 9453, 519, 9525, 540, 519, 1158, 262, 521, 21777, 2706, 12741, 267, 519, 13477, 540, 8315, 729, 798, 15701, 547, 5821, 269, 634, 2474, 540, 519, 15521, 540, 12411, 320, 14792, 5059, 593, 5125, 3294, 711, 519, 824, 2477, 602, 941, 8165, 593, 269, 634, 11773, 525, 543, 674, 841, 999, 540, 519, 15521, 540, 12411, 320, 14792, 538, 269, 654, 342, 328, 1656, 634, 15521, 2986, 12411, 320, 14792, 3778, 4828, 910, 5177, 10749, 269, 8381, 992, 14355, 21108, 519, 15521, 540, 12411, 320, 14792, 269, 2201, 476, 2764, 4873, 476, 4489, 280, 267, 5125, 19385, 14688, 9896, 519, 15521, 540, 12411, 320, 14792, 607, 851, 540, 519, 8303, 13458, 10985, 538, 519, 8065, 540, 19257, 5558, 693, 519, 20066, 540, 12411, 320, 14792, 1107, 4010, 269, 634, 23299, 540, 13458, 11137, 4841, 269, 8342, 1249, 281, 1250, 2852, 16075, 1557, 729, 1759, 593, 1250, 2648, 585, 519, 522, 9805, 923, 269, 898, 814, 1044, 1419, 1767, 676, 519, 13915, 602, 519, 5452, 540, 5822, 2622, 2782, 2482, 538, 519, 15521, 540, 12411, 320, 14792, 269, 15521, 540, 17930, 14792, 5821, 1557, 269, 2368, 3703, 14761, 2219, 519, 15521, 540, 269, 634, 15521, 540, 12411, 320, 14792, 7018, 1310, 5125, 1185, 9896, 606, 6186, 626, 823, 896, 519, 4493, 540, 1977, 5518, 8381, 992, 14355, 262, 521, 9050, 10117, 18745, 547, 3142, 269, 1215, 1705, 519, 17930, 14792, 14097, 948, 2014, 1158, 2112, 13797, 563, 15987, 5176, 13977, 6082, 15548, 5333, 267, 519, 13222, 540, 519, 2136, 8003, 519, 269, 17616, 519, 11460, 538, 8303, 13458, 10985, 3366, 547, 2112, 607, 519, 10792, 10751, 538, 519, 15521, 540, 12411, 320, 14792, 8697, 5125, 262, 521, 3084, 11348, 26901, 539, 269, 898, 729, 798, 15701, 689, 519, 1376, 1776, 2112, 729, 18374, 1978, 563, 28347, 8381, 992, 14355, 13948, 7858, 7007, 519, 14097, 1739, 2622, 2782, 594, 267, 5009, 1010, 5075, 585, 513, 1062, 540, 7104, 3354, 269, 16301, 540, 519, 14097, 543, 713, 1557, 786, 3605, 269, 15521, 540, 12411, 320, 14792, 729, 513, 4708, 14097, 602, 563, 1692, 1705, 519, 15521, 540, 12411, 320, 14792, 1291, 547, 24918, 1447, 982, 476, 736, 1296, 269, 1703, 941, 1082, 2829, 799, 2015, 519, 15521, 2986, 12411, 320, 14792, 607, 269, 23299, 540, 519, 15521, 540, 12411, 841, 548, 910, 4828, 9282, 634, 15521, 540, 12411, 320, 14792, 729, 5921, 547, 1832, 4708, 6617, 267, 538, 4641, 621, 2968, 519, 5748, 585, 513, 2112, 1256, 811, 14042, 982, 2622, 2782, 594, 2622, 2782, 4083, 269, 10558, 538, 519, 5604, 568, 519, 3993, 540, 513, 1126, 4171, 6186, 729, 7745, 538, 519, 4339, 563, 1607, 568, 711, 8806, 513, 14097, 540, 269, 4746, 835, 540, 519, 21291, 538, 519, 15521, 540, 12411, 320, 14792, 729, 602, 519, 16586, 1185, 547, 3398, 2407, 5539, 585, 519, 3689, 2622, 2782, 713, 729, 513, 5458, 269, 634, 8303, 13458, 10985, 7036, 539, 538, 5130, 476, 4489, 280, 693, 12411, 320, 14792, 1175, 3544, 8303, 563, 310, 310, 296, 8694, 609, 5125, 19142, 519, 15521, 540, 12411, 320, 14792, 269, 634, 4583, 15521, 540, 12411, 320, 14792, 729, 1634, 585, 922, 1909, 538, 10678, 2112, 563, 310, 342, 328, 1656, 634, 15521, 2986, 12411, 320, 14792, 3778, 4828, 910, 5177, 10749, 269, 8381, 992, 14355, 21108, 519, 15521, 540, 12411, 320, 14792, 269, 2201, 476, 2764, 4873, 476, 4489, 280, 267, 5125, 19385, 14688, 9896, 519, 15521, 540, 12411, 320, 14792, 607, 851, 540, 519, 8303, 13458, 10985, 538, 519, 8065, 540, 19257, 5558, 693, 519, 20066, 540, 12411, 320, 14792, 1107, 4010, 269, 634, 23299, 540, 13458, 11137, 4841, 563, 29222, 1249, 281, 1250, 2852, 16075, 1557, 729, 1759, 593, 1250, 2648, 585, 519, 522, 9805, 923, 269, 898, 814, 1044, 1419, 1767, 676, 519, 13915, 602, 519, 5452, 540, 5822, 2622, 2782, 2482, 538, 519, 15521, 540, 12411, 320, 14792, 269, 15521, 540, 17930, 14792, 5821, 1557, 563, 5278, 3703, 14761, 2219, 519, 15521, 540, 269, 634, 15521, 540, 12411, 320, 14792, 7018, 1310, 5125, 1185, 9896, 606, 6186, 626, 823, 896, 519, 4493, 540, 1977, 5518, 8381, 992, 14355, 262, 521, 9050, 10117, 18745, 547, 3142, 269, 1215, 1705, 519, 17930, 14792, 14097, 948, 2014, 1158, 2112, 13797, 563, 288, 755, 6319, 538, 476, 4350, 275, 282, 2705, 519, 8889, 540, 2561, 324, 848, 618, 4847, 13609, 547, 1332, 6793, 543, 547, 2663, 29875, 519, 14097, 540, 12411, 320, 14792, 950, 646, 5189, 931, 5524, 538, 476, 4350, 276, 269, 15521, 540, 17930, 14792, 5821, 1557, 269, 4208, 513, 5822, 2622, 2782, 286, 769, 1018, 2081, 729, 519, 15521, 540, 12411, 320, 14792, 513, 5821, 888, 1607, 2648, 1131, 5555, 1831, 835, 540, 519, 4128, 1946, 519, 14097, 729, 711, 9896, 676, 519, 772, 269, 3367, 634, 15521, 540, 12411, 320, 14792, 2433, 589, 11773, 286, 22549, 1250, 1614, 2798, 585, 1250, 1686, 1557, 563, 763, 12411, 320, 14792, 15521, 3769, 513, 834, 2782, 2871, 2830, 257, 2376, 602, 10645, 5125, 729, 9003, 3743, 585, 519, 2622, 2782, 269, 1635, 476, 4350, 280, 930, 5216, 2929, 1762, 16586, 20705, 547, 519, 13609, 15272, 11873, 269, 12984, 519, 15521, 540, 12411, 320, 14792, 540, 476, 4489, 280, 4023, 286, 15521, 540, 17930, 14792, 5821, 1557, 11426, 1957, 6796, 15521, 540, 17930, 14792, 5821, 1557, 3194, 1957, 14288, 6796, 563, 296, 949, 723, 547, 2328, 606, 1557, 593, 713, 1888, 585, 14182, 593, 1250, 4571, 3410, 594, 1131, 899, 707, 6644, 269, 13609, 5795, 835, 2626, 547, 713, 269, 1703, 729, 9247, 1100, 18731, 563, 307, 805, 344, 2986, 12411, 320, 14792, 14581, 6435, 267, 12333, 14288, 6435, 269, 634, 15521, 540, 12411, 320, 14792, 6673, 4785, 295, 11762, 547, 5530, 585, 4530, 4303, 589, 24766, 304, 593, 519, 23299, 540, 519, 15521, 540, 12411, 320, 14792, 281, 5808, 12984, 547, 2349, 877, 281, 5518, 14355, 610, 519, 27565, 1299, 20271, 894, 11534, 3789, 286, 4537, 582, 6202, 5206, 606, 9565, 1557, 10912, 2390, 782, 6082, 547, 834, 7979, 1177, 2112, 257, 676, 1818, 621, 10363, 269, 4475, 1223, 711, 4368, 1018, 729, 798, 15701, 547, 5821, 269, 634, 10554, 729, 1572, 547, 3715, 519, 2474, 540, 519, 4708, 1310, 2622, 2782, 594, 269, 1280, 1557, 1603, 5821, 543, 1967, 1557, 875, 547, 1118, 513, 563, 3719, 1256, 865, 519, 12411, 320, 14792, 15521, 3112, 581, 9833, 267, 607, 14355, 2899, 29739, 607, 1140, 8724, 562, 27197, 829, 1298, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 7325, 476, 476, 278, 476, 736, 281, 6734, 281, 6812, 476, 1708, 271, 692, 287, 10461, 281, 700, 2894, 10976, 302, 454, 20701, 3698, 5589, 289, 514, 15507, 263, 869, 267, 14683, 267, 4486, 2187, 825, 952, 1970, 2652, 1164, 912, 1038, 952, 589, 314, 869, 316, 2652, 1883, 912, 2018, 2132, 1820, 2891, 7659, 1336, 538, 2580, 1970, 267, 834, 8161, 5602, 1038, 3116, 912, 2018, 2132, 1820, 2891, 7659, 2580, 4486, 2437, 2254, 1336, 5602, 825, 3116, 912, 1038, 4571, 815, 630, 869, 1341, 1164, 264, 2260, 273, 454, 1038, 952, 1883, 2652, 589, 314, 13232, 14158, 2018, 2132, 1820, 2891, 7659, 1336, 538, 2580, 4571, 2437, 8161, 5602, 1038, 8640, 1883, 2999, 589, 314, 13232, 14158, 2018, 2132, 5589, 289, 514, 15507, 263, 869, 267, 13232, 268, 272, 267, 4486, 994, 1038, 3116, 912, 2018, 2132, 5589, 289, 514, 15507, 9852, 573, 266, 272, 267, 14683, 267, 4486, 994, 13872, 288, 815, 1592, 9852, 777, 17301, 267, 3403, 2891, 11767, 519, 26275, 281, 834, 1040, 20889, 3890, 4917, 288, 31699, 4590, 869, 815, 476, 271, 454, 14683, 815, 7003, 10490, 994, 4486, 815, 703, 9272, 2891, 11767, 519, 1883, 3693, 547, 581, 1336, 281, 27328, 13434, 289, 514, 15507, 263, 869, 267, 14683, 267, 4486, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 7325, 476, 1428, 476, 1724, 281, 5881, 281, 6021, 476, 1708, 271, 692, 287, 10461, 281, 700, 2894, 10976, 302, 454, 20701, 3698, 546, 12028, 14116, 1429, 267, 1376, 267, 2619, 17342, 316, 2187, 825, 2619, 815, 2619, 266, 314, 11034, 2639, 825, 585, 6843, 538, 3113, 314, 11034, 14158, 1038, 952, 711, 6843, 538, 2619, 912, 2018, 2619, 815, 546, 12028, 14116, 1429, 267, 6843, 267, 2619, 994, 825, 2132, 2619, 692, 23054, 815, 2715, 272, 281, 3553, 8443, 273, 267, 275, 316, 13211, 1363, 476, 273, 281, 3553, 8443, 274, 267, 276, 267, 278, 267, 279, 316, 13211, 1363, 476, 274, 281, 3553, 8443, 273, 267, 275, 267, 1015, 267, 280, 316, 13211, 1363, 476, 275, 281, 3553, 8443, 272, 267, 274, 316, 13211, 1363, 476, 276, 281, 3553, 8443, 273, 267, 277, 267, 278, 267, 279, 316, 13211, 1363, 476, 277, 281, 3553, 8443, 276, 316, 13211, 1363, 476, 278, 281, 3553, 8443, 273, 267, 276, 267, 279, 316, 13211, 1363, 476, 279, 281, 3553, 8443, 273, 267, 276, 267, 278, 316, 13211, 1363, 476, 280, 281, 3553, 8443, 274, 316, 13211, 1363, 476, 1015, 281, 3553, 8443, 274, 8079, 8679, 2745, 2891, 291, 3704, 3689, 9612, 568, 281, 14307, 4206, 338, 14116, 1429, 267, 272, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 7325, 476, 476, 280, 476, 1704, 281, 6021, 281, 3374, 476, 1708, 271, 692, 287, 10461, 281, 700, 2894, 10976, 302, 454, 20701, 3698, 8838, 2711, 300, 10235, 15031, 1181, 27331, 2187, 825, 570, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 952, 7003, 27331, 264, 3436, 476, 272, 912, 2018, 700, 31699, 4590, 2018, 2451, 267, 2431, 815, 700, 314, 271, 3910, 299, 314, 272, 2639, 2018, 2597, 815, 2451, 266, 2431, 454, 2018, 700, 815, 700, 314, 272, 281, 2639, 2018, 700, 314, 271, 316, 815, 2597, 454, 2018, 570, 6834, 700, 314, 271, 2639, 2018, 952, 7003, 27331, 264, 2652, 476, 272, 912, 3546, 2736, 454, 825, 2132, 1820, 2891, 13707, 8766, 8779, 270, 26574, 568, 281, 14307, 570, 994, 13872, 299, 815, 1592, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 1592, 281, 834, 1040, 20889, 3890, 4917, 18893, 2711, 300, 10235, 15031, 1181, 27331, 264, 0, 258, 291, 823, 17029, 2401, 454, 258, 339, 1389, 538, 513, 5569, 540, 18062, 538, 519, 1106, 971, 607, 476, 274, 323, 277, 267, 476, 276, 323, 277, 454, 258, 14474, 585, 811, 982, 835, 5569, 568, 476, 274, 323, 279, 266, 273, 476, 272, 323, 274, 266, 272, 454, 5814, 556, 267, 12690, 454, 3698, 18062, 305, 3326, 5560, 773, 23952, 2187, 825, 1039, 318, 2651, 815, 476, 271, 454, 825, 5066, 516, 613, 343, 815, 556, 2593, 335, 850, 3488, 8443, 271, 268, 280, 27994, 7565, 314, 323, 316, 7565, 314, 271, 268, 280, 27994, 7565, 314, 266, 268, 27994, 7565, 314, 271, 268, 280, 27994, 264, 5073, 825, 1250, 318, 2651, 815, 5066, 516, 613, 343, 26098, 718, 5560, 773, 23952, 994, 825, 585, 5066, 538, 1250, 318, 2651, 912, 1038, 585, 1775, 538, 2039, 17301, 263, 2651, 314, 271, 8079, 2187, 2018, 1039, 318, 2651, 6834, 4351, 27110, 263, 272, 267, 842, 263, 2651, 314, 273, 28413, 1038, 952, 5066, 314, 274, 316, 2652, 1412, 266, 12466, 2018, 1039, 318, 2651, 6834, 703, 263, 2651, 314, 275, 7481, 1038, 8640, 5066, 314, 274, 316, 2652, 21029, 12466, 2018, 1039, 318, 2651, 20699, 703, 263, 2651, 314, 275, 7481, 825, 1820, 263, 5417, 318, 2651, 994, 2745, 3488, 26705, 585, 835, 5066, 568, 834, 272, 323, 277, 2668, 834, 272, 323, 277, 266, 271, 257, 543, 834, 272, 323, 277, 257, 616, 519, 1482, 269, 5073, 2745, 3488, 26705, 585, 811, 982, 835, 5066, 568, 834, 272, 323, 277, 476, 274, 323, 277, 266, 272, 476, 272, 323, 736, 266, 273, 2668, 2290, 2230, 1063, 1142, 5066, 786, 798, 269, 5073, 2745, 4590, 6112, 6936, 912, 825, 1820, 3488, 11767, 5066, 281, 30386, 825, 3210, 815, 3403, 4590, 825, 952, 3210, 2652, 1412, 1410, 527, 12466, 1038, 2736, 454, 825, 18062, 305, 3326, 263, 24978, 994, 825, 1820, 4590, 0, 333, 815, 1496, 15947, 338, 815, 1496, 15947, 342, 815, 703, 9272, 3488, 11767, 875, 1082, 2609, 596, 1616, 10807, 3418, 1721, 1775, 538, 2039, 263, 271, 267, 342, 8029, 825, 1535, 815, 703, 9272, 3488, 11767, 519, 2338, 883, 519, 5044, 10807, 3418, 825, 544, 24210, 20080, 1477, 825, 562, 6910, 3287, 3418, 825, 521, 6910, 9852, 3418, 2745, 3799, 3418, 2745, 4433, 10142, 0, 5814, 795, 5459, 267, 2261, 13453, 4671, 4471, 692, 5035, 2776, 290, 5995, 912, 453, 12163, 453, 8002, 338, 607, 513, 21461, 585, 1883, 270, 7407, 8424, 269, 21964, 513, 570, 4471, 1239, 2497, 454, 453, 1729, 1450, 585, 519, 1427, 337, 2526, 540, 2789, 2418, 4171, 10569, 2270, 454, 453, 320, 9138, 18772, 563, 453, 20701, 22592, 6449, 8181, 9191, 1345, 267, 2707, 18316, 2187, 453, 19677, 11519, 322, 3737, 12774, 815, 31460, 453, 19677, 4732, 1830, 18316, 815, 2707, 18316, 454, 453, 19677, 11519, 342, 1301, 815, 8771, 692, 22592, 1205, 4311, 267, 1883, 2187, 453, 14851, 711, 1582, 11519, 342, 1301, 912, 4848, 19677, 11519, 342, 1301, 6831, 5995, 4590, 453, 453, 19477, 815, 1582, 11519, 339, 4471, 29096, 263, 684, 545, 1712, 31107, 1040, 12294, 31156, 453, 16596, 1496, 1345, 11519, 322, 3737, 12774, 10947, 263, 684, 545, 1712, 9217, 314, 272, 316, 4297, 585, 1775, 538, 3688, 6540, 22592, 9041, 342, 1301, 6831, 5995, 4311, 2187, 453, 453, 571, 1047, 3502, 25363, 7757, 13286, 30800, 5035, 19186, 636, 7093, 290, 5995, 263, 7093, 290, 5995, 2187, 453, 12163, 453, 7093, 322, 2851, 513, 1592, 540, 20128, 1518, 17581, 3615, 1210, 519, 17581, 2012, 454, 453, 553, 513, 1883, 543, 519, 17581, 795, 5459, 1239, 607, 519, 1871, 780, 453, 27237, 292, 281, 634, 2707, 3758, 2012, 568, 554, 2117, 10757, 1813, 547, 942, 10148, 269, 27814, 454, 453, 10472, 1131, 581, 22280, 693, 519, 942, 540, 8216, 2747, 540, 519, 1362, 454, 453, 20701, 22592, 9041, 342, 1301, 6831, 5995, 4311, 2187, 453, 14851, 1582, 11519, 342, 1301, 912, 4848, 16596, 692, 453, 453, 5976, 1930, 4311, 4732, 1830, 18316, 267, 1412, 337, 10807, 607, 535, 912, 4848, 453, 11907, 815, 535, 18667, 10797, 453, 453, 531, 321, 4548, 8217, 815, 795, 5459, 269, 2903, 338, 16597, 994, 453, 453, 12399, 815, 1496, 684, 545, 1712, 263, 531, 321, 636, 9131, 4067, 11172, 1040, 12294, 3890, 585, 17581, 538, 11549, 4548, 8217, 2639, 453, 19677, 11519, 339, 4471, 815, 2261, 13453, 4671, 4471, 11053, 4471, 263, 12399, 2020, 453, 22610, 17581, 538, 11549, 4548, 8217, 912, 4848, 453, 4067, 815, 17581, 10947, 3488, 4067, 3299, 8771, 994, 4848, 453, 322, 5995, 318, 4486, 815, 1582, 11519, 339, 4471, 269, 4486, 16182, 263, 684, 545, 1712, 28442, 1040, 12294, 15405, 4848, 19677, 11519, 322, 3737, 12774, 314, 684, 545, 1712, 6262, 5995, 318, 4486, 13580, 815, 17581, 454, 453, 19677, 11519, 342, 1301, 815, 6936, 7531, 5035, 30310, 7093, 290, 5995, 263, 7093, 290, 5995, 2187, 453, 12163, 453, 7093, 322, 2851, 513, 1592, 540, 20128, 1518, 7376, 3615, 1210, 519, 7376, 2012, 454, 453, 553, 513, 1883, 543, 519, 17581, 795, 5459, 1239, 607, 519, 1871, 692, 453, 27237, 292, 281, 901, 814, 711, 1044, 8045, 538, 519, 1719, 540, 942, 454, 453, 20701, 5035, 25397, 7093, 290, 5995, 263, 7093, 290, 5995, 2187, 453, 12163, 453, 7093, 322, 2851, 513, 1592, 540, 20128, 1518, 7376, 3615, 1210, 519, 3950, 2012, 454, 453, 553, 513, 1883, 543, 519, 17581, 795, 5459, 1239, 607, 519, 1871, 692, 453, 27237, 292, 281, 901, 814, 711, 1044, 8045, 538, 519, 1719, 540, 942, 454, 453, 12163, 0, 258, 2098, 778, 776, 1546, 309, 7534, 1477, 258, 5239, 476, 1789, 267, 476, 1001, 275, 1477, 258, 11682, 476, 21076, 1477, 258, 700, 5723, 476, 276, 910, 6156, 525, 519, 10231, 540, 513, 9991, 1843, 538, 519, 5790, 476, 5897, 5228, 3308, 1104, 265, 1363, 1948, 567, 7383, 338, 3388, 689, 3308, 1477, 5228, 2979, 1104, 265, 19930, 1948, 567, 7383, 338, 3388, 689, 2979, 1477, 5228, 3308, 3052, 1429, 1104, 265, 567, 1948, 567, 7383, 338, 3388, 689, 3308, 3113, 5897, 258, 567, 901, 3296, 20964, 519, 3355, 4632, 543, 3586, 5897, 338, 284, 19066, 263, 271, 269, 271, 267, 273, 269, 271, 267, 271, 269, 271, 264, 11434, 1948, 567, 3355, 3278, 519, 1843, 693, 476, 273, 332, 1477, 341, 284, 19066, 263, 271, 269, 271, 267, 271, 269, 271, 267, 271, 269, 271, 264, 11434, 1948, 567, 3355, 3278, 6991, 693, 476, 271, 1477, 326, 284, 19066, 263, 271, 269, 271, 16427, 280, 269, 10037, 267, 271, 269, 271, 264, 672, 1948, 567, 3355, 3278, 8904, 693, 910, 280, 269, 10037, 1477, 288, 284, 269, 272, 29688, 272, 265, 7032, 4449, 476, 1948, 567, 1939, 525, 2450, 540, 519, 6882, 1477, 330, 284, 269, 1839, 4449, 11434, 1948, 567, 3227, 4275, 2193, 3586, 799, 568, 1547, 1839, 4846, 8276, 317, 274, 593, 3047, 1477, 321, 284, 330, 265, 288, 4449, 11434, 1948, 567, 20964, 519, 1071, 1030, 17087, 540, 11508, 538, 2011, 1477, 339, 284, 271, 269, 271, 4449, 11434, 1948, 567, 6238, 519, 9219, 693, 476, 271, 1477, 19049, 284, 269, 4905, 4449, 8587, 1948, 567, 1213, 906, 519, 942, 693, 1547, 4905, 7643, 1477, 332, 284, 271, 269, 21916, 1240, 4449, 567, 1948, 567, 20964, 519, 2527, 540, 519, 1843, 9991, 1477, 325, 272, 284, 326, 2017, 557, 263, 10233, 284, 10233, 269, 1097, 534, 264, 1948, 567, 10741, 519, 3113, 7455, 543, 20964, 519, 2681, 5897, 6112, 521, 13885, 285, 271, 6769, 825, 2557, 263, 1911, 271, 264, 23526, 1948, 567, 1213, 906, 519, 9219, 476, 1911, 271, 2053, 513, 2034, 1477, 825, 513, 284, 9230, 332, 265, 326, 9984, 263, 321, 265, 341, 4297, 270, 332, 11434, 1948, 567, 11887, 1699, 10231, 1477, 825, 674, 323, 284, 321, 265, 332, 698, 17635, 12684, 17884, 8987, 341, 264, 825, 1948, 567, 11887, 1699, 3196, 593, 6882, 1477, 825, 521, 284, 338, 266, 341, 265, 19049, 3546, 1948, 567, 1213, 906, 519, 2990, 1477, 825, 642, 284, 341, 266, 320, 265, 19049, 3546, 1948, 567, 1213, 906, 519, 6991, 1477, 825, 512, 284, 339, 266, 19049, 4449, 476, 1948, 567, 1213, 906, 519, 942, 1477, 825, 535, 272, 19502, 263, 1842, 14352, 339, 29679, 13885, 4297, 825, 1948, 567, 8591, 547, 519, 4729, 5750, 942, 4336, 543, 18788, 689, 519, 586, 2990, 5897, 2745, 834, 338, 284, 2580, 338, 2437, 315, 333, 14824, 341, 284, 2580, 341, 2437, 315, 333, 14824, 320, 284, 2580, 320, 2437, 315, 333, 14824, 339, 284, 2580, 339, 2437, 315, 333, 14824, 293, 291, 284, 2580, 293, 323, 2437, 315, 333, 14826, 29177, 0, 5228, 4351, 1104, 3903, 7531, 258, 1039, 4351, 3556, 538, 3755, 16064, 269, 17776, 1592, 540, 3755, 3556, 454, 3698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 6003, 454, 1038, 1582, 269, 534, 1493, 9078, 8475, 10797, 825, 1219, 606, 1493, 9078, 8475, 4311, 2187, 1038, 1820, 6600, 257, 534, 1493, 5602, 1038, 1948, 7827, 519, 2681, 540, 1142, 4484, 538, 519, 6003, 547, 513, 4351, 2681, 454, 1038, 1948, 2908, 26748, 815, 834, 4840, 1038, 1948, 1721, 4484, 538, 1582, 269, 10233, 9078, 8475, 6983, 1326, 2891, 3667, 257, 2187, 1038, 1948, 825, 1007, 26748, 6834, 535, 257, 13997, 13997, 346, 12690, 26716, 4069, 4311, 31815, 832, 264, 3686, 3686, 2410, 12072, 348, 4840, 1038, 1582, 269, 10233, 9078, 8475, 26769, 14808, 263, 1150, 3033, 284, 12690, 26716, 4069, 4311, 31815, 832, 4917, 13872, 1038, 1948, 11910, 713, 1599, 1586, 1310, 476, 1911, 916, 454, 1038, 1582, 269, 573, 318, 12898, 318, 534, 1493, 815, 1582, 6230, 2120, 269, 12898, 263, 1911, 267, 1582, 269, 534, 1493, 9078, 8475, 2020, 825, 1219, 1930, 4671, 641, 318, 24038, 4311, 2187, 4848, 454, 1038, 952, 1582, 6745, 641, 318, 24038, 568, 7183, 912, 4848, 454, 2018, 1948, 17547, 1918, 908, 519, 6003, 454, 2018, 1582, 6230, 2120, 269, 12898, 6831, 30327, 4311, 269, 573, 318, 12898, 318, 534, 1493, 994, 27030, 2018, 1948, 8073, 513, 1283, 7400, 6885, 454, 2018, 1582, 6745, 641, 318, 24038, 815, 28184, 11053, 963, 767, 4311, 6230, 2120, 994, 2018, 1582, 6745, 641, 318, 24038, 26644, 2891, 12749, 5426, 32001, 5602, 4848, 8931, 2018, 1948, 8073, 513, 6003, 543, 7735, 538, 519, 1283, 7400, 6885, 454, 2018, 1582, 7456, 8475, 815, 28184, 11482, 8475, 4311, 6745, 641, 318, 24038, 267, 1257, 6889, 1607, 568, 513, 1283, 7400, 6885, 2580, 13944, 284, 2891, 6635, 658, 2580, 476, 736, 4917, 2018, 1582, 7456, 8475, 4877, 871, 4590, 4848, 8931, 2018, 1948, 1345, 6745, 641, 318, 24038, 269, 2889, 339, 4377, 2891, 310, 300, 318, 14701, 4041, 15288, 318, 310, 18853, 8582, 2580, 1582, 269, 637, 2541, 318, 534, 11582, 994, 2018, 1582, 269, 31728, 815, 28184, 269, 3719, 2023, 4311, 6745, 641, 318, 24038, 267, 1257, 6889, 5141, 846, 2580, 4971, 284, 1345, 25379, 4671, 641, 318, 24038, 994, 2018, 1582, 269, 31728, 4877, 871, 4590, 4848, 8931, 2018, 1948, 3683, 20183, 519, 6861, 1505, 540, 519, 1283, 7400, 6885, 454, 2018, 1948, 1345, 6745, 641, 318, 24038, 6155, 652, 5797, 815, 1582, 25379, 4671, 641, 318, 24038, 454, 2018, 1582, 6745, 641, 318, 24038, 269, 2889, 339, 4377, 2891, 310, 300, 318, 14701, 4041, 15288, 318, 310, 18853, 8582, 2580, 1582, 25379, 4671, 641, 318, 24038, 994, 15235, 454, 2018, 1582, 269, 10233, 318, 31728, 26769, 14808, 263, 12252, 22561, 2020, 825, 1219, 2673, 4671, 641, 318, 24038, 4311, 2187, 1038, 1820, 6600, 257, 29148, 4671, 641, 318, 24038, 5602, 1038, 1948, 1763, 2541, 1918, 908, 519, 6003, 454, 1038, 1582, 269, 637, 2541, 318, 534, 11582, 10797, 1038, 1948, 11910, 519, 3312, 6861, 1505, 547, 6861, 519, 1283, 7400, 6885, 454, 1038, 1582, 6745, 641, 318, 24038, 6155, 652, 5797, 10797, 1038, 1582, 269, 10233, 318, 31728, 26769, 14808, 263, 12252, 284, 1345, 269, 13449, 4671, 641, 318, 24038, 994, 1038, 1582, 6745, 641, 318, 24038, 815, 7183, 692, 825, 1219, 16056, 318, 534, 11582, 4311, 2187, 1038, 1948, 3399, 1918, 908, 519, 6003, 1586, 454, 1038, 1820, 6600, 257, 637, 2541, 318, 534, 11582, 5602, 1038, 1582, 269, 534, 1493, 9078, 8475, 10797, 258, 8073, 519, 1292, 6885, 454, 10174, 815, 28184, 11053, 330, 10797, 258, 8073, 519, 1629, 334, 6885, 454, 12047, 334, 815, 5915, 334, 20360, 578, 20172, 2020, 258, 3399, 519, 1292, 8520, 454, 10174, 6230, 664, 31467, 4590, 0, 5228, 4255, 1104, 3113, 318, 272, 454, 5814, 4351, 607, 28219, 692, 258, 589, 265, 10478, 5690, 1210, 513, 3113, 2497, 692, 2745, 14116, 1429, 318, 272, 994, 2745, 14116, 1429, 318, 272, 3052, 1429, 18380, 2020, 258, 8641, 7954, 454, 258, 1305, 3845, 1942, 11664, 692, 291, 318, 4596, 4306, 815, 476, 273, 692, 258, 17062, 646, 22618, 1138, 6819, 812, 21908, 3845, 454, 258, 1568, 585, 11708, 609, 2789, 3804, 14622, 454, 3698, 646, 22618, 14116, 1429, 267, 14584, 2187, 453, 2381, 20189, 815, 7183, 454, 453, 2998, 1023, 815, 3113, 318, 272, 10947, 318, 2998, 1023, 4590, 22610, 575, 318, 591, 23753, 538, 3853, 912, 453, 453, 11459, 815, 2612, 263, 591, 23753, 11859, 910, 575, 318, 591, 23753, 11859, 994, 453, 453, 11276, 815, 2612, 263, 591, 23753, 13885, 910, 575, 318, 591, 23753, 13885, 994, 453, 453, 323, 815, 667, 318, 4596, 4306, 2608, 630, 11459, 1341, 10085, 994, 453, 14851, 1295, 20189, 568, 7183, 610, 546, 2999, 1295, 20189, 912, 4848, 453, 2381, 20189, 815, 546, 454, 16596, 1295, 20189, 454, 28768, 1721, 642, 267, 2619, 538, 3113, 318, 272, 3052, 1429, 18380, 29096, 10031, 13537, 17635, 267, 646, 22618, 14116, 1429, 318, 272, 267, 2619, 4917, 28768, 3698, 513, 14067, 541, 14116, 1429, 267, 1376, 318, 591, 23753, 22561, 2187, 14851, 1376, 318, 591, 23753, 568, 7183, 912, 453, 453, 11034, 318, 591, 23753, 815, 3113, 3052, 1429, 18380, 314, 8681, 26716, 4069, 17338, 14116, 1429, 3052, 1429, 18380, 269, 12399, 3890, 4297, 2639, 28768, 453, 2998, 1023, 815, 3113, 10947, 318, 2998, 1023, 4590, 14851, 711, 3853, 912, 453, 13537, 2891, 5591, 3804, 14622, 1336, 267, 8572, 547, 1685, 3406, 23528, 453, 16596, 454, 13537, 2891, 15507, 532, 585, 835, 540, 2715, 2998, 1023, 9574, 4358, 693, 14584, 2715, 11034, 318, 591, 23753, 348, 2668, 8971, 263, 2998, 1023, 284, 2998, 1023, 267, 1376, 318, 591, 23753, 284, 11034, 318, 591, 23753, 4917, 453, 12506, 1512, 815, 11713, 453, 10339, 663, 539, 815, 11713, 453, 20135, 6831, 739, 815, 476, 271, 454, 28768, 453, 2017, 337, 318, 591, 23753, 815, 1376, 318, 591, 23753, 454, 453, 6112, 6936, 912, 453, 14851, 28364, 318, 591, 23753, 538, 3853, 912, 4848, 453, 258, 1336, 2336, 4848, 453, 19874, 454, 453, 453, 10113, 815, 1376, 318, 591, 23753, 10947, 318, 539, 2471, 4590, 453, 13537, 2891, 10113, 2580, 1985, 994, 453, 453, 2381, 6831, 739, 815, 476, 271, 454, 453, 22610, 642, 538, 1985, 912, 4848, 453, 591, 23753, 815, 3113, 3052, 1429, 18380, 314, 341, 2639, 4848, 13537, 2891, 591, 23753, 2580, 14584, 2437, 2017, 337, 318, 591, 23753, 269, 539, 2471, 2580, 2017, 337, 318, 591, 23753, 269, 539, 2471, 994, 4848, 453, 322, 739, 815, 28364, 318, 591, 23753, 269, 539, 2471, 314, 341, 316, 1341, 646, 22618, 14116, 1429, 267, 14584, 994, 4848, 13537, 2891, 591, 23753, 24333, 14584, 267, 834, 322, 739, 2580, 1942, 994, 453, 453, 19874, 454, 13537, 2891, 13707, 1942, 281, 2715, 271, 348, 2668, 8971, 6025, 4973, 6831, 739, 4917, 16596, 2698, 6831, 739, 454, 28768, 28768, 2745, 5416, 14067, 541, 14116, 1429, 318, 272, 4297, 0, 5228, 621, 1068, 8962, 1104, 4783, 267, 568, 331, 823, 7531, 3698, 9041, 325, 1515, 7272, 6055, 10490, 267, 645, 2187, 825, 8173, 825, 31951, 1587, 540, 1079, 7654, 12808, 12055, 1963, 454, 825, 9122, 5702, 593, 4179, 2517, 326, 603, 889, 2593, 270, 1910, 5404, 344, 270, 1910, 5404, 344, 270, 1170, 1132, 270, 14378, 6872, 454, 825, 29185, 825, 589, 815, 12055, 10490, 994, 825, 645, 815, 12055, 16360, 2020, 825, 513, 815, 11713, 825, 536, 815, 29129, 825, 2366, 514, 601, 815, 1843, 4590, 825, 1219, 16289, 263, 527, 267, 1605, 916, 2187, 1038, 552, 815, 1985, 263, 527, 267, 2366, 514, 601, 994, 1038, 952, 552, 568, 711, 2366, 514, 601, 912, 2018, 1605, 916, 6910, 16216, 2020, 825, 562, 815, 476, 271, 454, 825, 16289, 10490, 267, 513, 994, 825, 16289, 16360, 267, 536, 2020, 825, 1247, 562, 10922, 7003, 5416, 264, 1341, 7003, 6357, 2187, 1038, 585, 544, 538, 2039, 3799, 2000, 523, 5416, 11924, 272, 267, 7003, 6357, 15892, 2018, 6556, 630, 320, 19559, 2173, 3910, 536, 314, 332, 7481, 1038, 562, 6834, 476, 272, 454, 1038, 16289, 10490, 267, 513, 994, 1038, 16289, 16360, 267, 536, 9239, 3698, 4023, 7272, 6055, 28949, 3438, 1963, 2187, 825, 8173, 825, 16849, 31951, 1587, 540, 12055, 1963, 269, 962, 3658, 1169, 3693, 454, 825, 5555, 780, 825, 9122, 5702, 593, 4179, 2517, 326, 603, 889, 2593, 270, 1910, 5404, 344, 270, 1910, 5404, 344, 270, 1170, 1132, 270, 14378, 6872, 454, 825, 8173, 825, 952, 7003, 263, 3438, 1963, 264, 2652, 476, 271, 912, 1038, 6556, 630, 994, 1038, 2132, 454, 825, 8640, 7003, 263, 3438, 1963, 264, 2652, 476, 272, 912, 1038, 585, 552, 538, 12055, 1963, 314, 271, 14158, 2018, 6556, 630, 324, 267, 994, 825, 8640, 7003, 263, 3438, 1963, 264, 2652, 476, 273, 912, 1038, 585, 552, 1321, 538, 9041, 325, 1515, 7272, 6055, 28949, 3438, 1963, 2187, 2018, 6556, 552, 1321, 454, 825, 3116, 912, 1038, 1101, 267, 2608, 1278, 338, 815, 12055, 1963, 454, 1038, 585, 552, 325, 267, 552, 334, 538, 4023, 7272, 6055, 6600, 1009, 267, 4023, 7272, 6055, 28949, 1278, 338, 15892, 2018, 6556, 630, 1030, 267, 264, 1341, 552, 334, 19638, 3698, 19467, 318, 1037, 13681, 514, 28949, 3438, 1963, 2187, 825, 8173, 825, 8585, 613, 12055, 2209, 609, 513, 5180, 268, 13681, 514, 11674, 518, 563, 825, 22731, 6388, 676, 6723, 590, 752, 330, 529, 780, 825, 21188, 1592, 263, 1067, 613, 318, 1037, 13681, 514, 3488, 27398, 3299, 1412, 291, 3299, 1412, 9128, 29125, 825, 18358, 288, 3299, 1412, 291, 3299, 1412, 292, 3299, 1412, 289, 3299, 1412, 293, 3299, 1412, 290, 262, 6540, 825, 21188, 689, 621, 1068, 8962, 1104, 1293, 454, 825, 21188, 689, 19070, 531, 269, 527, 699, 868, 6652, 269, 583, 559, 1104, 1491, 454, 825, 21188, 1592, 6025, 820, 263, 1015, 267, 19467, 318, 1037, 13681, 514, 3488, 27398, 3299, 1293, 19572, 1412, 292, 262, 21875, 825, 18358, 288, 3299, 476, 271, 267, 1412, 292, 3299, 1412, 289, 3299, 476, 272, 267, 1412, 290, 3299, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 6540, 825, 8173, 825, 533, 2056, 815, 7003, 263, 3438, 1963, 994, 825, 1985, 338, 815, 4783, 263, 3438, 263, 527, 1040, 1029, 10113, 1029, 585, 621, 538, 12055, 1963, 994, 825, 1247, 533, 2056, 912, 1038, 2119, 912, 2018, 585, 9041, 10113, 538, 1985, 338, 912, 3546, 6556, 9041, 10113, 4590, 1038, 4849, 17547, 296, 614, 566, 912, 2018, 533, 2056, 20699, 476, 272, 454, 2018, 1985, 338, 815, 4783, 263, 529, 331, 823, 263, 10113, 338, 267, 533, 2056, 11723, 325, 1515, 318, 684, 542, 815, 19467, 318, 1037, 13681, 514, 7531, 3698, 1449, 6958, 1515, 7272, 6055, 10031, 825, 689, 621, 1068, 8962, 1104, 1293, 692, 825, 1219, 1397, 6831, 1484, 7272, 6055, 3287, 903, 267, 3268, 267, 715, 2187, 1038, 7470, 815, 1496, 9131, 476, 1547, 262, 585, 795, 538, 2039, 18217, 13580, 585, 1775, 538, 2039, 18217, 22708, 1038, 585, 1775, 267, 630, 343, 267, 586, 264, 538, 26246, 3287, 903, 2187, 2018, 952, 1775, 13843, 3268, 281, 2736, 454, 2018, 2119, 912, 3546, 7470, 20572, 6012, 344, 316, 815, 535, 262, 346, 328, 281, 274, 323, 348, 7055, 2018, 4849, 12039, 13286, 912, 3546, 1780, 454, 1038, 1820, 3488, 314, 260, 338, 316, 262, 4939, 630, 1412, 316, 315, 333, 314, 8339, 21860, 3488, 29717, 21860, 9852, 777, 19304, 267, 992, 4297, 585, 4737, 538, 7470, 4297, 9239, 825, 715, 815, 476, 1015, 454, 825, 3268, 815, 715, 16732, 301, 266, 272, 264, 2260, 273, 692, 825, 689, 19070, 531, 1104, 4778, 454, 825, 1820, 4590, 825, 1820, 263, 3712, 832, 269, 2775, 13885, 3641, 4939, 1412, 325, 1515, 7272, 6055, 281, 1102, 19899, 5073, 825, 1397, 6831, 1484, 7272, 6055, 6600, 1515, 7272, 6055, 6262, 870, 19572, 1293, 3890, 13211, 4449, 11434, 3268, 815, 3268, 267, 715, 815, 715, 2020, 825, 1820, 4590, 825, 1820, 263, 3712, 832, 269, 2775, 13885, 3641, 4939, 1412, 325, 1515, 7272, 6055, 281, 1102, 1922, 514, 5073, 825, 1397, 6831, 1484, 7272, 6055, 6600, 1515, 7272, 6055, 6262, 870, 19572, 2039, 263, 275, 264, 13211, 4449, 11434, 3268, 815, 3268, 267, 715, 815, 715, 2020, 825, 1820, 4590, 825, 1820, 263, 3712, 832, 269, 2775, 13885, 3641, 4939, 1412, 325, 1515, 7272, 6055, 281, 1710, 19899, 5073, 825, 1397, 6831, 1484, 7272, 6055, 6600, 1515, 7272, 6055, 263, 9792, 263, 275, 1070, 1293, 3890, 13211, 4449, 11434, 3268, 815, 3268, 267, 715, 815, 715, 2020, 825, 1820, 4590, 825, 1820, 263, 3712, 832, 269, 2775, 13885, 3641, 4939, 1412, 325, 1515, 7272, 6055, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 898, 729, 513, 6505, 267, 13566, 1554, 607, 7605, 29560, 543, 1010, 19033, 1305, 1055, 593, 741, 8912, 15964, 7045, 910, 10068, 1524, 676, 519, 5757, 269, 1809, 2221, 4371, 606, 6397, 6335, 269, 9741, 1705, 5216, 4458, 6040, 7605, 29560, 14353, 267, 607, 646, 1236, 5792, 2059, 22290, 1010, 4651, 267, 602, 789, 14201, 1405, 1175, 2469, 1310, 8723, 3165, 780, 257, 291, 611, 2437, 4280, 7605, 29560, 8049, 569, 267, 3750, 532, 519, 9490, 3937, 533, 3183, 856, 689, 3297, 519, 14903, 10160, 267, 834, 6343, 616, 1346, 1279, 18635, 585, 12482, 14367, 4651, 1989, 514, 2740, 3765, 2151, 341, 3585, 269, 834, 11039, 5067, 267, 594, 2219, 621, 1131, 581, 1187, 952, 649, 6836, 1945, 1114, 2221, 3010, 3725, 2286, 883, 519, 1394, 540, 519, 14903, 267, 646, 15504, 856, 1079, 3771, 335, 9398, 269, 1280, 513, 4090, 267, 7605, 29560, 5433, 513, 695, 1853, 2196, 909, 1010, 12636, 269, 1261, 1185, 2938, 971, 1919, 538, 2835, 827, 31503, 543, 4262, 28749, 267, 855, 2760, 16545, 4466, 5128, 3068, 3562, 19904, 609, 835, 2439, 257, 10673, 1405, 5855, 267, 14609, 344, 2437, 1767, 1010, 19033, 15260, 1005, 569, 267, 711, 6005, 1010, 31536, 542, 269, 834, 4322, 616, 1175, 9162, 1862, 4820, 540, 938, 2027, 1544, 15323, 2026, 789, 683, 1563, 519, 22815, 267, 6004, 269, 9652, 6045, 741, 5692, 281, 20414, 513, 26704, 13442, 5156, 547, 9468, 519, 17909, 540, 519, 10720, 910, 519, 21792, 1412, 294, 5050, 4239, 22455, 8339, 901, 13414, 4904, 7605, 29560, 609, 10761, 2864, 982, 4250, 269, 1358, 6170, 3108, 6551, 3101, 909, 3515, 543, 22678, 1746, 29945, 2394, 6368, 267, 972, 729, 513, 2178, 512, 1872, 593, 835, 540, 873, 780, 4415, 12271, 11013, 532, 267, 4651, 543, 5067, 5249, 1927, 547, 556, 601, 538, 1018, 5828, 856, 547, 581, 1100, 8723, 6952, 269, 2991, 3764, 540, 6560, 267, 606, 11999, 17895, 12386, 7153, 5196, 519, 2627, 267, 4553, 676, 1776, 267, 1287, 1776, 267, 1142, 1793, 2416, 532, 11733, 1227, 1996, 519, 11308, 1544, 802, 269, 1323, 4890, 22542, 19611, 744, 6311, 8008, 4785, 2482, 1354, 873, 2439, 4537, 1442, 18233, 936, 7605, 29560, 781, 2934, 1247, 1010, 19033, 3533, 13615, 909, 519, 4278, 4770, 28458, 269, 4495, 17956, 267, 789, 14952, 539, 693, 922, 2450, 543, 4222, 267, 16734, 875, 18822, 789, 941, 547, 1995, 971, 513, 4686, 7237, 269, 8528, 21158, 3262, 3728, 1851, 8284, 29940, 945, 1166, 18088, 1472, 519, 4715, 12386, 267, 9299, 2358, 7605, 29560, 543, 1010, 4651, 585, 741, 22838, 543, 5578, 269, 1717, 267, 930, 2199, 5726, 1235, 9575, 2842, 540, 519, 2680, 1932, 269, 772, 1186, 564, 676, 519, 1259, 519, 3662, 729, 5701, 267, 789, 8452, 14053, 2962, 780, 288, 12699, 7521, 1671, 4240, 1063, 519, 3235, 18878, 15624, 543, 7255, 15628, 269, 11086, 267, 519, 7128, 941, 1572, 267, 28409, 9350, 1145, 9624, 519, 14784, 269, 1677, 2057, 2417, 19717, 267, 6004, 269, 9652, 8815, 547, 5305, 519, 12354, 22455, 1394, 883, 519, 2620, 7297, 896, 15569, 780, 8601, 519, 10565, 2490, 719, 267, 7605, 29560, 4121, 3407, 4245, 602, 1554, 269, 12243, 1740, 267, 2463, 585, 7320, 267, 1620, 12343, 267, 543, 7231, 609, 1007, 3871, 19100, 4646, 519, 4295, 540, 891, 1451, 902, 269, 1656, 1498, 7620, 9670, 267, 519, 10071, 2968, 513, 12300, 9661, 22281, 539, 23816, 569, 1369, 741, 2146, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 305, 1168, 1679, 513, 4845, 547, 6338, 513, 9983, 3693, 883, 519, 1650, 563, 21659, 29560, 4682, 10068, 609, 1010, 19033, 563, 28012, 1705, 7605, 29560, 917, 267, 789, 941, 2965, 2469, 547, 6952, 513, 9649, 12354, 22455, 3079, 540, 3165, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 3460, 998, 942, 256, 4653, 267, 649, 786, 2263, 606, 3504, 10340, 602, 2899, 12199, 513, 5318, 1858, 540, 519, 1158, 281, 519, 14655, 7276, 269, 1411, 1522, 581, 11842, 267, 1141, 729, 713, 10504, 4092, 286, 1548, 2186, 540, 1004, 5030, 972, 286, 1656, 875, 1705, 789, 2661, 741, 3232, 2729, 286, 4270, 267, 1577, 781, 1265, 856, 2439, 763, 14655, 7276, 7153, 1472, 476, 273, 267, 4335, 1296, 3516, 538, 1018, 649, 1631, 1289, 519, 5664, 5101, 1107, 4481, 538, 2413, 6377, 9459, 269, 898, 8057, 547, 1831, 835, 540, 519, 4102, 23693, 538, 3504, 1686, 267, 15198, 782, 519, 1259, 689, 5527, 547, 3127, 256, 5994, 15194, 513, 2244, 865, 2462, 621, 1131, 1491, 3275, 547, 2951, 2066, 676, 3723, 610, 7504, 3724, 269, 2334, 781, 3833, 606, 11141, 9028, 2439, 3086, 267, 4952, 3054, 2713, 1282, 519, 942, 540, 519, 14655, 7276, 269, 1215, 1114, 1131, 707, 1272, 581, 3379, 547, 23600, 2221, 286, 1280, 26784, 267, 1034, 6431, 2103, 941, 6705, 945, 5249, 2182, 547, 1332, 7031, 899, 10568, 267, 24061, 267, 543, 18683, 269, 1358, 849, 6659, 2831, 971, 607, 13265, 267, 23161, 267, 543, 4342, 1564, 585, 1426, 543, 824, 2200, 269, 5020, 7012, 1405, 2653, 267, 855, 2324, 1927, 5280, 873, 1628, 2178, 2950, 780, 3080, 4277, 2460, 540, 519, 14655, 7276, 729, 922, 2229, 1062, 1572, 834, 3000, 8944, 1701, 901, 1797, 602, 835, 1268, 267, 1572, 519, 4622, 630, 528, 4279, 3751, 1070, 4371, 18678, 1379, 936, 3025, 3116, 269, 1809, 1810, 1405, 5855, 282, 646, 7012, 1405, 4805, 538, 1818, 3664, 269, 1261, 1185, 31548, 543, 8387, 945, 5280, 1864, 1827, 519, 7372, 10504, 780, 5194, 4241, 4183, 540, 519, 14655, 7276, 729, 922, 3909, 10892, 269, 9521, 930, 824, 3504, 12977, 267, 519, 6431, 2103, 4847, 741, 5396, 547, 2259, 1585, 10764, 11884, 269, 2098, 19660, 770, 6929, 1143, 267, 8547, 676, 21024, 2098, 19660, 2120, 267, 729, 519, 3119, 4984, 267, 10771, 1434, 4555, 267, 1434, 1913, 267, 543, 1434, 23339, 269, 1717, 267, 7642, 267, 16380, 267, 543, 1866, 1223, 1246, 741, 4978, 1510, 20655, 780, 4131, 781, 2911, 827, 1945, 1187, 1631, 910, 9913, 256, 8535, 5129, 606, 1898, 1909, 538, 14655, 2486, 269, 4658, 10150, 4730, 5569, 539, 7405, 899, 11430, 637, 543, 3771, 1186, 1247, 13465, 543, 15472, 269, 8274, 3756, 267, 669, 926, 582, 14797, 267, 543, 1135, 334, 13292, 3177, 3606, 31768, 1282, 16837, 3108, 780, 2026, 585, 6189, 267, 519, 6431, 2103, 2451, 3297, 15999, 3889, 15386, 741, 4359, 4702, 1983, 269, 6201, 1331, 519, 20066, 540, 3131, 572, 335, 12994, 267, 10424, 9723, 2125, 20077, 883, 10239, 1938, 267, 543, 6946, 12555, 1949, 585, 8105, 269, 1452, 24790, 1869, 8300, 16413, 543, 12206, 5001, 780, 15563, 267, 2021, 538, 519, 14655, 7276, 1185, 5266, 2362, 4567, 982, 538, 1082, 15231, 4529, 269, 2755, 789, 6140, 7307, 10820, 543, 1453, 267, 930, 1256, 2968, 17710, 610, 3576, 851, 538, 10617, 7258, 2367, 269, 13185, 827, 8004, 1379, 538, 3504, 2053, 2439, 1103, 3932, 267, 519, 14655, 7276, 729, 513, 7415, 10340, 1630, 8463, 1713, 10781, 538, 6214, 267, 1514, 2497, 267, 2257, 267, 1148, 267, 543, 2029, 269, 6736, 4540, 5215, 540, 1296, 3516, 267, 2984, 540, 741, 6264, 16725, 3136, 547, 3673, 3729, 721, 267, 18445, 602, 1565, 827, 1686, 666, 8197, 581, 3078, 543, 11121, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 596, 1589, 540, 30460, 1695, 553, 5408, 267, 8419, 267, 1018, 2501, 547, 2247, 286, 589, 2749, 3638, 538, 1686, 267, 2528, 267, 543, 2067, 5898, 267, 30460, 1695, 553, 5408, 568, 1634, 585, 1454, 811, 982, 1373, 8419, 779, 3854, 269, 3245, 922, 7524, 6575, 6429, 547, 922, 2189, 6561, 267, 713, 2749, 814, 513, 2603, 547, 2709, 269, 2913, 779, 4685, 883, 519, 476, 1428, 1919, 602, 30460, 1695, 553, 5408, 568, 4583, 585, 563, 301, 652, 1194, 538, 519, 2295, 540, 8419, 267, 30460, 1695, 553, 5408, 19674, 607, 513, 9159, 11100, 540, 1686, 267, 2528, 267, 543, 24243, 269, 901, 7524, 2749, 267, 609, 922, 3638, 13795, 540, 2833, 267, 6763, 607, 519, 1533, 779, 3854, 543, 6585, 513, 2189, 2990, 538, 519, 4182, 779, 5251, 269, 968, 1432, 568, 30460, 1695, 553, 5408, 1634, 585, 9495, 30172, 519, 7279, 540, 1346, 5275, 547, 10625, 519, 9759, 540, 713, 9159, 10278, 563, 307, 718, 1695, 553, 5408, 779, 3140, 4644, 15244, 1394, 547, 922, 1909, 538, 519, 1977, 6406, 7126, 11873, 267, 9117, 607, 513, 3942, 585, 11358, 2621, 602, 18534, 9464, 519, 1576, 540, 519, 4182, 779, 1686, 563, 2690, 1346, 5275, 513, 2189, 1259, 547, 2263, 891, 23406, 8978, 2127, 267, 2015, 9363, 693, 835, 540, 519, 1082, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25324, 1014, 7276, 257, 607, 851, 540, 834, 16300, 16337, 1315, 8466, 1315, 9147, 6406, 3074, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 29460, 513, 21988, 27752, 910, 16497, 689, 22186, 787, 333, 2274, 966, 3225, 324, 692, 5970, 596, 2479, 26927, 3139, 827, 4742, 513, 4583, 5856, 286, 898, 1522, 3100, 899, 513, 2484, 11325, 3804, 267, 855, 972, 616, 1082, 3268, 593, 519, 2619, 547, 1967, 602, 596, 666, 1376, 2921, 2221, 256, 2913, 781, 2263, 930, 4245, 649, 666, 1451, 689, 513, 1483, 3734, 2278, 3957, 22186, 787, 333, 2274, 966, 3225, 324, 780, 8893, 476, 272, 281, 6657, 24439, 17828, 454, 298, 987, 787, 333, 3323, 1200, 3460, 607, 513, 5856, 1175, 899, 4896, 3116, 910, 676, 1603, 6266, 543, 6266, 540, 2984, 256, 2311, 1101, 267, 1352, 5185, 1082, 7947, 687, 689, 2757, 21101, 267, 799, 1797, 789, 4769, 1405, 1616, 547, 15476, 1200, 960, 269, 2755, 713, 949, 723, 1044, 14922, 532, 267, 22186, 787, 333, 1031, 1346, 2833, 547, 2087, 1200, 1603, 1983, 936, 942, 269, 901, 2982, 721, 875, 1271, 621, 568, 547, 1832, 8026, 938, 4739, 267, 1256, 952, 649, 3068, 22303, 2059, 519, 1259, 269, 2060, 2614, 2259, 267, 649, 786, 1831, 1732, 693, 1018, 649, 798, 2439, 8893, 476, 273, 281, 21344, 12700, 543, 27065, 454, 2026, 513, 14787, 267, 22186, 787, 333, 11339, 2984, 1305, 538, 10120, 2053, 269, 2701, 6499, 1200, 8941, 547, 1745, 8076, 1247, 1869, 1373, 19278, 543, 9159, 269, 1677, 3035, 713, 267, 1352, 21356, 3140, 6111, 630, 14708, 2386, 1919, 5949, 607, 789, 1131, 723, 1282, 602, 1974, 264, 609, 3860, 9423, 2609, 630, 3697, 4277, 3197, 543, 4729, 23538, 1040, 1411, 666, 4019, 713, 1523, 1932, 256, 1280, 1383, 267, 952, 596, 2328, 513, 1650, 827, 17878, 267, 1382, 741, 4890, 4162, 543, 5615, 547, 1711, 513, 10853, 4259, 267, 1287, 1577, 707, 9345, 865, 541, 1369, 1346, 6302, 780, 8893, 476, 274, 281, 16871, 7827, 454, 763, 834, 785, 773, 4838, 257, 4016, 547, 519, 4473, 540, 4830, 4589, 945, 3442, 547, 1582, 1790, 889, 1501, 741, 1378, 2835, 3079, 540, 2469, 998, 2757, 13629, 3549, 269, 1879, 713, 7678, 3459, 267, 22186, 787, 333, 1185, 2907, 2854, 19421, 540, 22251, 269, 4595, 1352, 7948, 1405, 1265, 513, 17404, 8348, 547, 1491, 513, 4960, 593, 1200, 267, 1352, 4956, 547, 2119, 1582, 1790, 889, 7667, 891, 834, 3724, 4289, 539, 257, 2984, 782, 693, 2899, 269, 1635, 3257, 865, 267, 1352, 1336, 1390, 1967, 543, 6603, 1082, 11235, 3988, 269, 6884, 1689, 666, 1291, 547, 1007, 3255, 256, 5901, 606, 1930, 2247, 827, 1114, 2081, 540, 8236, 707, 3853, 780, 8893, 476, 275, 281, 8490, 10341, 3683, 5384, 454, 6524, 22867, 4628, 547, 1603, 267, 22186, 787, 333, 4371, 1524, 513, 2834, 2816, 269, 1717, 267, 1310, 11543, 1995, 543, 2679, 909, 1200, 4015, 540, 3370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]